LMFDB - Embedded newform 930.2.bt.a.13.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(13,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([0, 45, 22]))

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

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

chi := DirichletCharacter("930.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bt (of order $60$, degree $16$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$16$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			13.2
Character	$\chi$	$=$	930.13
Dual form			930.2.bt.a.787.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 + 0.987688i) q^{2} +(0.358368 - 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.65687 + 1.50160i) q^{5} +(0.866025 + 0.500000i) q^{6} +(-2.43455 - 0.127590i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +O(q^{10})$	\(q+(-0.156434 + 0.987688i) q^{2} +(0.358368 - 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.65687 + 1.50160i) q^{5} +(0.866025 + 0.500000i) q^{6} +(-2.43455 - 0.127590i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +(-1.22392 - 1.87137i) q^{10} +(-0.719186 - 3.38350i) q^{11} +(-0.629320 + 0.777146i) q^{12} +(1.52018 + 1.87726i) q^{13} +(0.506867 - 2.38462i) q^{14} +(0.808094 + 2.08494i) q^{15} +(0.809017 + 0.587785i) q^{16} +(-0.00578185 - 0.00890327i) q^{17} +(0.777146 - 0.629320i) q^{18} +(7.10422 - 0.746684i) q^{19} +(2.03979 - 0.916104i) q^{20} +(-0.991581 + 2.22713i) q^{21} +(3.45435 - 0.181035i) q^{22} +(6.10091 + 3.10857i) q^{23} +(-0.669131 - 0.743145i) q^{24} +(0.490413 - 4.97589i) q^{25} +(-2.09196 + 1.20779i) q^{26} +(-0.891007 + 0.453990i) q^{27} +(2.27597 + 0.873663i) q^{28} +(5.36633 - 3.89887i) q^{29} +(-2.18569 + 0.471988i) q^{30} +(2.53930 + 4.95499i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-3.41651 - 0.541122i) q^{33} +(0.00969814 - 0.00431789i) q^{34} +(4.22532 - 3.44432i) q^{35} +(0.500000 + 0.866025i) q^{36} +(9.52583 - 2.55244i) q^{37} +(-0.373854 + 7.13356i) q^{38} +(2.29736 - 0.746458i) q^{39} +(0.585731 + 2.15799i) q^{40} +(-7.09922 - 3.16078i) q^{41} +(-2.04459 - 1.32777i) q^{42} +(3.60570 + 2.91984i) q^{43} +(-0.361574 + 3.44015i) q^{44} +(2.23606 - 0.00724400i) q^{45} +(-4.02469 + 5.53951i) q^{46} +(-9.28076 + 1.46993i) q^{47} +(0.838671 - 0.544639i) q^{48} +(-1.05088 - 0.110452i) q^{49} +(4.83791 + 1.26278i) q^{50} +(-0.0103840 + 0.00220718i) q^{51} +(-0.865669 - 2.25515i) q^{52} +(0.0113474 + 0.216522i) q^{53} +(-0.309017 - 0.951057i) q^{54} +(6.27226 + 4.52609i) q^{55} +(-1.21895 + 2.11128i) q^{56} +(1.84884 - 6.89995i) q^{57} +(3.01139 + 5.91018i) q^{58} +(-0.429710 - 0.965145i) q^{59} +(-0.124260 - 2.23261i) q^{60} -3.15960i q^{61} +(-5.29122 + 1.73291i) q^{62} +(1.72385 + 1.72385i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-5.33763 - 0.827681i) q^{65} +(1.06892 - 3.28979i) q^{66} +(4.93154 + 1.32140i) q^{67} +(0.00274761 + 0.0102542i) q^{68} +(5.08847 - 4.58167i) q^{69} +(2.74093 + 4.71211i) q^{70} +(1.35602 - 1.50601i) q^{71} +(-0.933580 + 0.358368i) q^{72} +(6.77396 - 10.4310i) q^{73} +(1.03085 + 9.80784i) q^{74} +(-4.46965 - 2.24104i) q^{75} +(-6.98725 - 1.48519i) q^{76} +(1.31920 + 8.32909i) q^{77} +(0.377881 + 2.38585i) q^{78} +(7.52910 + 1.60036i) q^{79} +(-2.22305 + 0.240936i) q^{80} +(0.104528 + 0.994522i) q^{81} +(4.23242 - 6.51736i) q^{82} +(11.4259 - 4.38600i) q^{83} +(1.63127 - 1.81171i) q^{84} +(0.0229489 + 0.00606952i) q^{85} +(-3.44795 + 3.10455i) q^{86} +(-1.71678 - 6.40713i) q^{87} +(-3.34123 - 0.895280i) q^{88} +(0.369027 - 1.13575i) q^{89} +(-0.342641 + 2.20966i) q^{90} +(-3.46144 - 4.76426i) q^{91} +(-4.84171 - 4.84171i) q^{92} +(5.53589 - 0.594931i) q^{93} -9.39644i q^{94} +(-10.6495 + 11.9048i) q^{95} +(0.406737 + 0.913545i) q^{96} +(-3.22142 - 6.32239i) q^{97} +(0.273486 - 1.02066i) q^{98} +(-1.72955 + 2.99566i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 8 q^{7}+O(q^{10}) $ 256 * q + 8 * q^7	$ 256 q + 8 q^{7} + 4 q^{10} - 24 q^{14} - 8 q^{15} + 64 q^{16} + 36 q^{17} - 40 q^{19} + 12 q^{20} - 16 q^{21} + 8 q^{22} - 32 q^{24} + 20 q^{25} + 4 q^{28} - 16 q^{29} - 8 q^{31} - 4 q^{33} - 24 q^{35} + 128 q^{36} + 4 q^{37} + 4 q^{38} + 48 q^{41} + 32 q^{42} - 24 q^{43} + 4 q^{44} - 12 q^{45} - 20 q^{46} - 168 q^{47} - 40 q^{49} + 48 q^{50} - 64 q^{53} + 64 q^{54} + 64 q^{55} + 28 q^{57} + 68 q^{58} - 24 q^{59} + 4 q^{62} + 4 q^{63} - 60 q^{65} + 12 q^{66} - 76 q^{67} - 4 q^{68} + 12 q^{69} - 16 q^{70} - 48 q^{71} + 52 q^{73} + 68 q^{74} + 48 q^{75} + 48 q^{76} + 84 q^{77} - 56 q^{79} - 32 q^{81} - 32 q^{82} + 136 q^{83} + 68 q^{85} + 24 q^{86} + 20 q^{87} + 56 q^{88} - 224 q^{89} + 40 q^{91} - 48 q^{93} - 4 q^{95} + 8 q^{97} + 64 q^{98} + 4 q^{99}+O(q^{100}) $ 256 * q + 8 * q^7 + 4 * q^10 - 24 * q^14 - 8 * q^15 + 64 * q^16 + 36 * q^17 - 40 * q^19 + 12 * q^20 - 16 * q^21 + 8 * q^22 - 32 * q^24 + 20 * q^25 + 4 * q^28 - 16 * q^29 - 8 * q^31 - 4 * q^33 - 24 * q^35 + 128 * q^36 + 4 * q^37 + 4 * q^38 + 48 * q^41 + 32 * q^42 - 24 * q^43 + 4 * q^44 - 12 * q^45 - 20 * q^46 - 168 * q^47 - 40 * q^49 + 48 * q^50 - 64 * q^53 + 64 * q^54 + 64 * q^55 + 28 * q^57 + 68 * q^58 - 24 * q^59 + 4 * q^62 + 4 * q^63 - 60 * q^65 + 12 * q^66 - 76 * q^67 - 4 * q^68 + 12 * q^69 - 16 * q^70 - 48 * q^71 + 52 * q^73 + 68 * q^74 + 48 * q^75 + 48 * q^76 + 84 * q^77 - 56 * q^79 - 32 * q^81 - 32 * q^82 + 136 * q^83 + 68 * q^85 + 24 * q^86 + 20 * q^87 + 56 * q^88 - 224 * q^89 + 40 * q^91 - 48 * q^93 - 4 * q^95 + 8 * q^97 + 64 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$e\left(\frac{11}{30}\right)$

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 $

$2$	−0.156434	+	0.987688i	−0.110616	+	0.698401i
$2$	−0.156434	+	0.987688i	−0.110616	+	0.698401i
$3$	0.358368	−	0.933580i	0.206904	−	0.539003i
$3$	0.358368	−	0.933580i	0.206904	−	0.539003i
$4$	−0.951057	−	0.309017i	−0.475528	−	0.154508i
$5$	−1.65687	+	1.50160i	−0.740973	+	0.671535i
$5$	−1.65687	+	1.50160i	−0.740973	+	0.671535i
$6$	0.866025	+	0.500000i	0.353553	+	0.204124i
$7$	−2.43455	−	0.127590i	−0.920175	−	0.0482243i	−0.413637	−	0.910442i	$-0.635742\pi$
$7$	−2.43455	−	0.127590i	−0.920175	−	0.0482243i	−0.506538	+	0.862218i	$0.669075\pi$
$8$	0.453990	−	0.891007i	0.160510	−	0.315018i
$9$	−0.743145	−	0.669131i	−0.247715	−	0.223044i
$10$	−1.22392	−	1.87137i	−0.387037	−	0.591779i
$11$	−0.719186	−	3.38350i	−0.216843	−	1.02017i	−0.943040	−	0.332679i	$-0.892047\pi$
$11$	−0.719186	−	3.38350i	−0.216843	−	1.02017i	0.726197	−	0.687486i	$-0.241286\pi$
$12$	−0.629320	+	0.777146i	−0.181669	+	0.224343i
$13$	1.52018	+	1.87726i	0.421622	+	0.520659i	0.943057	−	0.332631i	$-0.107936\pi$
$13$	1.52018	+	1.87726i	0.421622	+	0.520659i	−0.521435	+	0.853291i	$0.674603\pi$
$14$	0.506867	−	2.38462i	0.135466	−	0.637317i
$15$	0.808094	+	2.08494i	0.208649	+	0.538330i
$16$	0.809017	+	0.587785i	0.202254	+	0.146946i
$17$	−0.00578185	−	0.00890327i	−0.00140231	−	0.00215936i	0.837969	−	0.545718i	$-0.183743\pi$
$17$	−0.00578185	−	0.00890327i	−0.00140231	−	0.00215936i	−0.839371	+	0.543559i	$0.817076\pi$
$18$	0.777146	−	0.629320i	0.183175	−	0.148332i
$19$	7.10422	−	0.746684i	1.62982	−	0.171301i	0.754992	−	0.655734i	$-0.227641\pi$
$19$	7.10422	−	0.746684i	1.62982	−	0.171301i	0.874828	+	0.484433i	$0.160974\pi$
$20$	2.03979	−	0.916104i	0.456111	−	0.204847i
$21$	−0.991581	+	2.22713i	−0.216381	+	0.485999i
$22$	3.45435	−	0.181035i	0.736471	−	0.0385968i
$23$	6.10091	+	3.10857i	1.27213	+	0.648181i	0.953983	−	0.299862i	$-0.0969405\pi$
$23$	6.10091	+	3.10857i	1.27213	+	0.648181i	0.318144	+	0.948042i	$0.396940\pi$
$24$	−0.669131	−	0.743145i	−0.136586	−	0.151694i
$25$	0.490413	−	4.97589i	0.0980826	−	0.995178i
$26$	−2.09196	+	1.20779i	−0.410267	+	0.236868i
$27$	−0.891007	+	0.453990i	−0.171474	+	0.0873705i
$28$	2.27597	+	0.873663i	0.430118	+	0.165107i
$29$	5.36633	−	3.89887i	0.996502	−	0.724001i	0.0351668	−	0.999381i	$-0.488804\pi$
$29$	5.36633	−	3.89887i	0.996502	−	0.724001i	0.961335	+	0.275380i	$0.0888038\pi$
$30$	−2.18569	+	0.471988i	−0.399050	+	0.0861728i
$31$	2.53930	+	4.95499i	0.456072	+	0.889943i
$31$	2.53930	+	4.95499i	0.456072	+	0.889943i
$32$	−0.707107	+	0.707107i	−0.125000	+	0.125000i
$33$	−3.41651	−	0.541122i	−0.594738	−	0.0941972i
$34$	0.00969814	−	0.00431789i	0.00166322	−	0.000740512i
$35$	4.22532	−	3.44432i	0.714209	−	0.582196i
$36$	0.500000	+	0.866025i	0.0833333	+	0.144338i
$37$	9.52583	−	2.55244i	1.56604	−	0.419618i	0.631468	−	0.775402i	$-0.282453\pi$
$37$	9.52583	−	2.55244i	1.56604	−	0.419618i	0.934569	+	0.355783i	$0.115786\pi$
$38$	−0.373854	+	7.13356i	−0.0606472	+	1.15722i
$39$	2.29736	−	0.746458i	0.367872	−	0.119529i
$40$	0.585731	+	2.15799i	0.0926122	+	0.341208i
$41$	−7.09922	−	3.16078i	−1.10871	−	0.493630i	−0.231065	−	0.972938i	$-0.574221\pi$
$41$	−7.09922	−	3.16078i	−1.10871	−	0.493630i	−0.877647	+	0.479308i	$0.840888\pi$
$42$	−2.04459	−	1.32777i	−0.315487	−	0.204880i
$43$	3.60570	+	2.91984i	0.549865	+	0.445272i	0.863556	−	0.504253i	$-0.168232\pi$
$43$	3.60570	+	2.91984i	0.549865	+	0.445272i	−0.313691	+	0.949525i	$0.601566\pi$
$44$	−0.361574	+	3.44015i	−0.0545093	+	0.518621i
$45$	2.23606	−	0.00724400i	0.333332	−	0.00107987i
$46$	−4.02469	+	5.53951i	−0.593408	+	0.816756i
$47$	−9.28076	+	1.46993i	−1.35374	+	0.214411i	−0.790793	−	0.612084i	$-0.790332\pi$
$47$	−9.28076	+	1.46993i	−1.35374	+	0.214411i	−0.562945	+	0.826495i	$0.690332\pi$
$48$	0.838671	−	0.544639i	0.121052	−	0.0786119i
$49$	−1.05088	−	0.110452i	−0.150126	−	0.0157788i
$50$	4.83791	+	1.26278i	0.684184	+	0.178583i
$51$	−0.0103840	+	0.00220718i	−0.00145404	+	0.000309067i
$52$	−0.865669	−	2.25515i	−0.120047	−	0.312732i
$53$	0.0113474	+	0.216522i	0.00155869	+	0.0297416i	0.999298	−	0.0374594i	$-0.0119265\pi$
$53$	0.0113474	+	0.216522i	0.00155869	+	0.0297416i	−0.997739	+	0.0672009i	$0.978593\pi$
$54$	−0.309017	−	0.951057i	−0.0420519	−	0.129422i
$55$	6.27226	+	4.52609i	0.845751	+	0.610298i
$56$	−1.21895	+	2.11128i	−0.162889	+	0.282132i
$57$	1.84884	−	6.89995i	0.244884	−	0.913921i
$58$	3.01139	+	5.91018i	0.395414	+	0.776044i
$59$	−0.429710	−	0.965145i	−0.0559435	−	0.125651i	0.883411	−	0.468599i	$-0.155241\pi$
$59$	−0.429710	−	0.965145i	−0.0559435	−	0.125651i	−0.939354	+	0.342948i	$0.888575\pi$
$60$	−0.124260	−	2.23261i	−0.0160419	−	0.288229i
$61$		−	3.15960i		−	0.404545i	−0.979329	−	0.202272i	$-0.935167\pi$
$61$		−	3.15960i		−	0.404545i	0.979329	−	0.202272i	$-0.0648326\pi$
$62$	−5.29122	+	1.73291i	−0.671986	+	0.220079i
$63$	1.72385	+	1.72385i	0.217185	+	0.217185i
$64$	−0.587785	−	0.809017i	−0.0734732	−	0.101127i
$65$	−5.33763	−	0.827681i	−0.662051	−	0.102661i
$66$	1.06892	−	3.28979i	0.131575	−	0.404946i
$67$	4.93154	+	1.32140i	0.602483	+	0.161435i	0.547152	−	0.837033i	$-0.315712\pi$
$67$	4.93154	+	1.32140i	0.602483	+	0.161435i	0.0553312	+	0.998468i	$0.482379\pi$
$68$	0.00274761	+	0.0102542i	0.000333196	+	0.00124351i
$69$	5.08847	−	4.58167i	0.612579	−	0.551569i
$70$	2.74093	+	4.71211i	0.327604	+	0.563205i
$71$	1.35602	−	1.50601i	0.160930	−	0.178731i	−0.657287	−	0.753640i	$-0.728296\pi$
$71$	1.35602	−	1.50601i	0.160930	−	0.178731i	0.818217	+	0.574909i	$0.194963\pi$
$72$	−0.933580	+	0.358368i	−0.110024	+	0.0422341i
$73$	6.77396	−	10.4310i	0.792832	−	1.22085i	−0.178691	−	0.983905i	$-0.557186\pi$
$73$	6.77396	−	10.4310i	0.792832	−	1.22085i	0.971522	−	0.236948i	$-0.0761472\pi$
$74$	1.03085	+	9.80784i	0.119833	+	1.14014i
$75$	−4.46965	−	2.24104i	−0.516110	−	0.258773i
$76$	−6.98725	−	1.48519i	−0.801493	−	0.170363i
$77$	1.31920	+	8.32909i	0.150337	+	0.949187i
$78$	0.377881	+	2.38585i	0.0427866	+	0.270144i
$79$	7.52910	+	1.60036i	0.847089	+	0.180054i	0.610954	−	0.791666i	$-0.290786\pi$
$79$	7.52910	+	1.60036i	0.847089	+	0.180054i	0.236135	+	0.971720i	$0.424119\pi$
$80$	−2.22305	+	0.240936i	−0.248545	+	0.0269374i
$81$	0.104528	+	0.994522i	0.0116143	+	0.110502i
$82$	4.23242	−	6.51736i	0.467393	−	0.719722i
$83$	11.4259	−	4.38600i	1.25416	−	0.481426i	0.361590	−	0.932337i	$-0.382234\pi$
$83$	11.4259	−	4.38600i	1.25416	−	0.481426i	0.892569	+	0.450911i	$0.148901\pi$
$84$	1.63127	−	1.81171i	0.177986	−	0.197674i
$85$	0.0229489	+	0.00606952i	0.00248916	+	0.000658332i
$86$	−3.44795	+	3.10455i	−0.371802	+	0.334772i
$87$	−1.71678	−	6.40713i	−0.184059	−	0.686916i
$88$	−3.34123	−	0.895280i	−0.356176	−	0.0954371i
$89$	0.369027	−	1.13575i	0.0391168	−	0.120389i	−0.929591	−	0.368592i	$-0.879840\pi$
$89$	0.369027	−	1.13575i	0.0391168	−	0.120389i	0.968708	+	0.248203i	$0.0798400\pi$
$90$	−0.342641	+	2.20966i	−0.0361176	+	0.232919i
$91$	−3.46144	−	4.76426i	−0.362857	−	0.499430i
$92$	−4.84171	−	4.84171i	−0.504783	−	0.504783i
$93$	5.53589	−	0.594931i	0.574045	−	0.0616915i
$94$		−	9.39644i		−	0.969169i
$95$	−10.6495	+	11.9048i	−1.09262	+	1.22141i
$96$	0.406737	+	0.913545i	0.0415124	+	0.0932383i
$97$	−3.22142	−	6.32239i	−0.327086	−	0.641942i	0.667643	−	0.744481i	$-0.267303\pi$
$97$	−3.22142	−	6.32239i	−0.327086	−	0.641942i	−0.994729	+	0.102540i	$0.967303\pi$
$98$	0.273486	−	1.02066i	0.0276262	−	0.103102i
$99$	−1.72955	+	2.99566i	−0.173826	+	0.301076i
$100$	−2.00405	+	4.58081i	−0.200405	+	0.458081i
$101$	−2.20075	−	6.77321i	−0.218983	−	0.673960i	−0.998847	−	0.0480108i	$-0.984712\pi$
$101$	−2.20075	−	6.77321i	−0.218983	−	0.673960i	0.779864	−	0.625949i	$-0.215288\pi$
$102$	−0.000555595	−	0.0106014i	−5.50121e−5	−	0.00104969i
$103$	0.196224	+	0.511182i	0.0193346	+	0.0503682i	0.942908	−	0.333053i	$-0.108079\pi$
$103$	0.196224	+	0.511182i	0.0193346	+	0.0503682i	−0.923573	+	0.383422i	$0.874746\pi$
$104$	2.36280	−	0.502229i	0.231692	−	0.0492476i
$105$	−1.70133	−	5.17901i	−0.166033	−	0.505420i
$106$	−0.215631	−	0.0226638i	−0.0209440	−	0.00220130i
$107$	−13.0045	+	8.44525i	−1.25720	+	0.816433i	−0.989141	−	0.146971i	$-0.953048\pi$
$107$	−13.0045	+	8.44525i	−1.25720	+	0.816433i	−0.268056	+	0.963403i	$0.586381\pi$
$108$	0.987688	−	0.156434i	0.0950404	−	0.0150529i
$109$	0.0363592	−	0.0500442i	0.00348258	−	0.00479336i	−0.807272	−	0.590179i	$-0.799057\pi$
$109$	0.0363592	−	0.0500442i	0.00348258	−	0.00479336i	0.810755	+	0.585386i	$0.199057\pi$
$110$	−5.45156	+	5.48700i	−0.519786	+	0.523165i
$111$	1.03085	−	9.80784i	0.0978435	−	0.930919i
$112$	−1.89460	−	1.53422i	−0.179023	−	0.144970i
$113$	11.4567	+	7.44004i	1.07775	+	0.699900i	0.956209	−	0.292686i	$-0.0945491\pi$
$113$	11.4567	+	7.44004i	1.07775	+	0.699900i	0.121543	+	0.992586i	$0.461216\pi$
$114$	6.52578	+	2.90546i	0.611195	+	0.272122i
$115$	−14.7762	+	4.01062i	−1.37789	+	0.373992i
$116$	−6.30850	+	2.04976i	−0.585729	+	0.190315i
$117$	0.126422	−	2.41228i	0.0116877	−	0.223015i
$118$	1.02048	−	0.273438i	0.0939432	−	0.0251720i
$119$	0.0129403	+	0.0224132i	0.00118623	+	0.00205462i
$120$	2.22456	+	0.226527i	0.203074	+	0.0206790i
$121$	−0.881876	+	0.392637i	−0.0801706	+	0.0356942i
$122$	3.12070	+	0.494270i	0.282535	+	0.0447491i
$123$	−5.49497	+	5.49497i	−0.495465	+	0.495465i
$124$	−0.883842	−	5.49717i	−0.0793713	−	0.493660i
$125$	6.65924	+	8.98079i	0.595620	+	0.803266i
$126$	−1.97230	+	1.43296i	−0.175706	+	0.127658i
$127$	16.2814	+	6.24984i	1.44474	+	0.554584i	0.949387	−	0.314109i	$-0.101706\pi$
$127$	16.2814	+	6.24984i	1.44474	+	0.554584i	0.495352	+	0.868692i	$0.335039\pi$
$128$	0.891007	−	0.453990i	0.0787546	−	0.0401275i
$129$	4.01808	−	2.31984i	0.353772	−	0.204250i
$130$	1.65248	−	5.14244i	0.144932	−	0.451021i
$131$	4.86293	+	5.40083i	0.424876	+	0.471872i	0.917135	−	0.398576i	$-0.130496\pi$
$131$	4.86293	+	5.40083i	0.424876	+	0.471872i	−0.492259	+	0.870449i	$0.663829\pi$
$132$	3.08208	+	1.57040i	0.268260	+	0.136685i
$133$	−17.3909	+	0.911417i	−1.50798	+	0.0790299i
$134$	−2.07660	+	4.66411i	−0.179391	+	0.402918i
$135$	0.794568	−	2.09013i	0.0683855	−	0.179890i
$136$	−0.0105578	+	0.00110967i	−0.000905322	+	9.51532e-5i
$137$	−8.21980	+	6.65627i	−0.702265	+	0.568683i	−0.912554	−	0.408956i	$-0.865893\pi$
$137$	−8.21980	+	6.65627i	−0.702265	+	0.568683i	0.210289	+	0.977639i	$0.432560\pi$
$138$	3.72926	+	5.74255i	0.317455	+	0.488838i
$139$	−14.3927	−	10.4569i	−1.22077	−	0.886943i	−0.224609	−	0.974449i	$-0.572110\pi$
$139$	−14.3927	−	10.4569i	−1.22077	−	0.886943i	−0.996164	+	0.0875057i	$0.972110\pi$
$140$	−5.08287	+	1.97005i	−0.429581	+	0.166499i
$141$	−1.95363	+	9.19111i	−0.164525	+	0.774031i
$142$	1.27534	+	1.57492i	0.107025	+	0.132164i
$143$	5.25844	−	6.49363i	0.439733	−	0.543025i
$144$	−0.207912	−	0.978148i	−0.0173260	−	0.0815123i
$145$	−3.03676	+	14.5180i	−0.252190	+	1.20565i
$146$	9.24287	+	8.32232i	0.764946	+	0.688760i
$147$	−0.479717	+	0.941498i	−0.0395664	+	0.0776534i
$148$	−9.84835	−	0.516130i	−0.809529	−	0.0424256i
$149$	−7.70162	−	4.44653i	−0.630942	−	0.364274i	0.150175	−	0.988659i	$-0.452016\pi$
$149$	−7.70162	−	4.44653i	−0.630942	−	0.364274i	−0.781117	+	0.624385i	$0.785350\pi$
$150$	2.91266	−	4.06404i	0.237817	−	0.331828i
$151$	4.81226	+	1.56360i	0.391616	+	0.127244i	0.498205	−	0.867059i	$-0.333993\pi$
$151$	4.81226	+	1.56360i	0.391616	+	0.127244i	−0.106589	+	0.994303i	$0.533993\pi$
$152$	2.55995	−	6.66890i	0.207639	−	0.540919i
$153$	−0.00166070	+	0.0104852i	−0.000134260	+	0.000847681i
$154$	−8.43291			−0.679543
$155$	−11.6477	−	4.39675i	−0.935565	−	0.353156i
$156$	−2.41559			−0.193402
$157$	−0.309591	+	1.95468i	−0.0247080	+	0.156000i	−0.996958	−	0.0779458i	$-0.975164\pi$
$157$	−0.309591	+	1.95468i	−0.0247080	+	0.156000i	0.972250	+	0.233946i	$0.0751639\pi$
$158$	−2.75847	+	7.18605i	−0.219452	+	0.571691i
$159$	0.206207	+	0.0670007i	0.0163533	+	0.00531350i
$160$	0.109792	−	2.23337i	0.00867983	−	0.176563i
$161$	−14.4564	−	8.34638i	−1.13932	−	0.657787i
$162$	−0.998630	−	0.0523360i	−0.0784597	−	0.00411190i
$163$	−7.38466	+	14.4932i	−0.578412	+	1.13520i	0.397616	+	0.917552i	$0.369837\pi$
$163$	−7.38466	+	14.4932i	−0.578412	+	1.13520i	−0.976028	+	0.217645i	$0.930163\pi$
$164$	5.77502	+	5.19986i	0.450954	+	0.406041i
$165$	6.47324	−	4.23365i	0.503941	−	0.329589i
$166$	2.54460	+	11.9714i	0.197499	+	0.929159i
$167$	12.1034	−	14.9464i	0.936589	−	1.15659i	−0.0508689	−	0.998705i	$-0.516199\pi$
$167$	12.1034	−	14.9464i	0.936589	−	1.15659i	0.987457	−	0.157885i	$-0.0504676\pi$
$168$	1.53422	+	1.89460i	0.118367	+	0.146172i
$169$	1.48967	−	7.00836i	0.114590	−	0.539105i
$170$	−0.00958479	+	0.0217169i	−0.000735120	+	0.00166561i
$171$	−5.77909	−	4.19876i	−0.441938	−	0.321087i
$172$	−2.52695	−	3.89116i	−0.192678	−	0.296698i
$173$	−14.0769	+	11.3992i	−1.07025	+	0.866669i	−0.991485	−	0.130225i	$-0.958430\pi$
$173$	−14.0769	+	11.3992i	−1.07025	+	0.866669i	−0.0787624	+	0.996893i	$0.525097\pi$
$174$	6.59681	−	0.693353i	0.500103	−	0.0525629i
$175$	−1.82881	+	12.0515i	−0.138245	+	0.911008i
$176$	1.40694	−	3.16004i	0.106052	−	0.238197i
$177$	−1.05504	+	0.0552921i	−0.0793013	+	0.00415601i
$178$	1.06404	+	0.542153i	0.0797529	+	0.0406361i
$179$	−3.85178	−	4.27784i	−0.287896	−	0.319741i	0.581797	−	0.813334i	$-0.302350\pi$
$179$	−3.85178	−	4.27784i	−0.287896	−	0.319741i	−0.869693	+	0.493593i	$0.835683\pi$
$180$	−2.12885	−	0.684090i	−0.158675	−	0.0509891i
$181$	11.7715	−	6.79625i	0.874965	−	0.505162i	0.00597032	−	0.999982i	$-0.498100\pi$
$181$	11.7715	−	6.79625i	0.874965	−	0.505162i	0.868995	+	0.494821i	$0.164766\pi$
$182$	5.24709	−	2.67353i	0.388940	−	0.198175i
$183$	−2.94974	−	1.13230i	−0.218051	−	0.0837019i
$184$	5.53951	−	4.02469i	0.408378	−	0.296704i
$185$	−11.9503	+	18.5330i	−0.878603	+	1.36257i
$186$	−0.278397	+	5.56080i	−0.0204131	+	0.407738i
$187$	−0.0259660	+	0.0259660i	−0.00189883	+	0.00189883i
$188$	9.28076	+	1.46993i	0.676869	+	0.107205i
$189$	2.22713	−	0.991581i	0.162000	−	0.0721269i
$190$	−10.0923	−	12.3807i	−0.732173	−	0.898193i
$191$	−11.8855	−	20.5864i	−0.860008	−	1.48958i	−0.871920	−	0.489648i	$-0.837125\pi$
$191$	−11.8855	−	20.5864i	−0.860008	−	1.48958i	0.0119126	−	0.999929i	$-0.496208\pi$
$192$	−0.965926	+	0.258819i	−0.0697097	+	0.0186787i
$193$	0.0971720	−	1.85415i	0.00699459	−	0.133465i	−0.992900	−	0.118951i	$-0.962047\pi$
$193$	0.0971720	−	1.85415i	0.00699459	−	0.133465i	0.999895	−	0.0145134i	$-0.00461993\pi$
$194$	6.74849	−	2.19272i	0.484514	−	0.157428i
$195$	−2.68554	+	4.68649i	−0.192316	+	0.335607i
$196$	0.965314	+	0.429785i	0.0689510	+	0.0306990i
$197$	12.7366	+	8.27124i	0.907445	+	0.589302i	0.911776	−	0.410689i	$-0.134712\pi$
$197$	12.7366	+	8.27124i	0.907445	+	0.589302i	−0.00433042	+	0.999991i	$0.501378\pi$
$198$	−2.68822	−	2.17688i	−0.191044	−	0.154704i
$199$	−2.07810	+	19.7718i	−0.147312	+	1.40158i	0.632011	+	0.774960i	$0.282230\pi$
$199$	−2.07810	+	19.7718i	−0.147312	+	1.40158i	−0.779323	+	0.626623i	$0.784437\pi$
$200$	−4.21091	−	2.69597i	−0.297756	−	0.190634i
$201$	3.00094	−	4.13044i	0.211670	−	0.291339i
$202$	7.03410	−	1.11409i	0.494917	−	0.0783872i
$203$	−13.5621	+	8.80731i	−0.951871	+	0.618152i
$204$	0.0105578	+	0.00110967i	0.000739193	+	7.76923e-5i
$205$	16.5087	−	5.42318i	1.15302	−	0.378771i
$206$	−0.535585	+	0.113842i	−0.0373159	+	0.00793175i
$207$	−2.45382	−	6.39242i	−0.170552	−	0.444304i
$208$	0.126422	+	2.41228i	0.00876580	+	0.167261i
$209$	−7.63567	−	23.5002i	−0.528170	−	1.62554i
$210$	5.38139	−	0.870209i	0.371351	−	0.0600501i
$211$	12.8714	−	22.2940i	0.886107	−	1.53478i	0.0416673	−	0.999132i	$-0.486733\pi$
$211$	12.8714	−	22.2940i	0.886107	−	1.53478i	0.844440	−	0.535651i	$-0.179934\pi$
$212$	0.0561169	−	0.209431i	0.00385412	−	0.0143838i
$213$	−0.920031	−	1.80566i	−0.0630395	−	0.123722i
$214$	−6.30691	−	14.1656i	−0.431132	−	0.968338i
$215$	−10.3586	+	0.576527i	−0.706451	+	0.0393188i
$216$			1.00000i			0.0680414i
$217$	−5.54986	−	12.3872i	−0.376749	−	0.840897i
$218$	0.0437402	+	0.0437402i	0.00296246	+	0.00296246i
$219$	−7.31059	−	10.0622i	−0.494004	−	0.679938i
$220$	−4.56663	−	6.24280i	−0.307882	−	0.420889i
$221$	0.00792435	−	0.0243886i	0.000533049	−	0.00164056i
$222$	9.52583	+	2.55244i	0.639332	+	0.171308i
$223$	2.44761	+	9.13459i	0.163904	+	0.611697i	0.998177	+	0.0603467i	$0.0192206\pi$
$223$	2.44761	+	9.13459i	0.163904	+	0.611697i	−0.834274	+	0.551351i	$0.814113\pi$
$224$	1.81171	−	1.63127i	0.121050	−	0.108994i
$225$	−3.69397	+	3.36966i	−0.246265	+	0.224644i
$226$	−9.14066	+	10.1517i	−0.608027	+	0.675283i
$227$	−10.0045	+	3.84038i	−0.664024	+	0.254895i	−0.666952	−	0.745101i	$-0.732401\pi$
$227$	−10.0045	+	3.84038i	−0.664024	+	0.254895i	0.00292776	+	0.999996i	$0.499068\pi$
$228$	−3.89055	+	5.99092i	−0.257658	+	0.396758i
$229$	−0.998602	−	9.50106i	−0.0659895	−	0.627848i	−0.976671	−	0.214740i	$-0.931110\pi$
$229$	−0.998602	−	9.50106i	−0.0659895	−	0.627848i	0.910682	−	0.413108i	$-0.135557\pi$
$230$	−1.64974	−	15.2217i	−0.108780	−	1.00369i
$231$	8.24863	+	1.75330i	0.542720	+	0.115359i
$232$	−1.03765	−	6.55148i	−0.0681252	−	0.430126i
$233$	4.66346	+	29.4439i	0.305513	+	1.92893i	0.365668	+	0.930745i	$0.380841\pi$
$233$	4.66346	+	29.4439i	0.305513	+	1.92893i	−0.0601548	+	0.998189i	$0.519159\pi$
$234$	2.36280	+	0.502229i	0.154461	+	0.0328317i
$235$	13.1697	−	16.3714i	0.859099	−	1.06795i
$236$	0.110433	+	1.05070i	0.00718855	+	0.0683945i
$237$	4.19225	−	6.45550i	0.272316	−	0.419330i
$238$	−0.0241616	+	0.00927476i	−0.00156616	+	0.000601193i
$239$	13.7110	−	15.2276i	0.886890	−	0.984991i	−0.113073	−	0.993587i	$-0.536070\pi$
$239$	13.7110	−	15.2276i	0.886890	−	0.984991i	0.999963	+	0.00859589i	$0.00273619\pi$
$240$	−0.571737	+	2.16174i	−0.0369055	+	0.139540i
$241$	−12.6524	+	11.3923i	−0.815014	+	0.733842i	−0.967065	−	0.254531i	$-0.918079\pi$
$241$	−12.6524	+	11.3923i	−0.815014	+	0.733842i	0.152050	+	0.988373i	$0.451412\pi$
$242$	−0.249847	−	0.932441i	−0.0160608	−	0.0599396i
$243$	0.965926	+	0.258819i	0.0619642	+	0.0166032i
$244$	−0.976369	+	3.00495i	−0.0625056	+	0.192373i
$245$	1.90702	−	1.39499i	0.121835	−	0.0891228i
$246$	−4.56772	−	6.28692i	−0.291227	−	0.400839i
$247$	12.2014	+	12.2014i	0.776357	+	0.776357i
$248$	5.56775	−	0.0130139i	0.353552	−	0.000826385i
$249$		−	12.2388i		−	0.775604i
$250$	−9.91196	+	5.17234i	−0.626887	+	0.327128i
$251$	9.84439	+	22.1109i	0.621373	+	1.39563i	0.900281	+	0.435308i	$0.143361\pi$
$251$	9.84439	+	22.1109i	0.621373	+	1.39563i	−0.278909	+	0.960318i	$0.589973\pi$
$252$	−1.10678	−	2.17218i	−0.0697207	−	0.136835i
$253$	6.13016	−	22.8781i	0.385400	−	1.43833i
$254$	−8.71986	+	15.1032i	−0.547133	+	0.947662i
$255$	0.0138905	−	0.0192495i	0.000869859	−	0.00120545i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−1.06725	−	20.3644i	−0.0665733	−	1.27029i	−0.803903	−	0.594760i	$-0.797247\pi$
$257$	−1.06725	−	20.3644i	−0.0665733	−	1.27029i	0.737330	−	0.675533i	$-0.236086\pi$
$258$	1.66271	+	4.33151i	0.103516	+	0.269668i
$259$	−23.5168	+	4.99865i	−1.46126	+	0.310601i
$260$	4.82062	+	2.43659i	0.298962	+	0.151111i
$261$	−6.59681	−	0.693353i	−0.408332	−	0.0429175i
$262$	−6.09506	+	3.95818i	−0.376554	+	0.244537i
$263$	−7.46442	+	1.18225i	−0.460276	+	0.0729006i	−0.382267	−	0.924052i	$-0.624856\pi$
$263$	−7.46442	+	1.18225i	−0.460276	+	0.0729006i	−0.0780094	+	0.996953i	$0.524856\pi$
$264$	−2.03320	+	2.79847i	−0.125135	+	0.172234i
$265$	−0.343930	−	0.341708i	−0.0211274	−	0.0209910i
$266$	1.82034	−	17.3193i	0.111612	−	1.06192i
$267$	−0.928064	−	0.751532i	−0.0567966	−	0.0459930i
$268$	−4.28184	−	2.78066i	−0.261555	−	0.169856i
$269$	−3.76881	−	1.67798i	−0.229788	−	0.102308i	0.288613	−	0.957446i	$-0.406806\pi$
$269$	−3.76881	−	1.67798i	−0.229788	−	0.102308i	−0.518401	+	0.855138i	$0.673473\pi$
$270$	1.94010	+	1.11175i	0.118071	+	0.0676592i
$271$	0.364017	−	0.118276i	0.0221125	−	0.00718478i	−0.297940	−	0.954585i	$-0.596299\pi$
$271$	0.364017	−	0.118276i	0.0221125	−	0.00718478i	0.320052	+	0.947400i	$0.396299\pi$
$272$	0.000555595	−	0.0106014i	3.36879e−5	−	0.000642804i
$273$	−5.68829	+	1.52417i	−0.344271	+	0.0922471i
$274$	−5.28846	−	9.15987i	−0.319487	−	0.553368i
$275$	−17.1887	+	1.91928i	−1.03651	+	0.115737i
$276$	−6.25523	+	2.78501i	−0.376521	+	0.167638i
$277$	−12.3195	−	1.95121i	−0.740205	−	0.117237i	−0.225066	−	0.974344i	$-0.572260\pi$
$277$	−12.3195	−	1.95121i	−0.740205	−	0.117237i	−0.515139	+	0.857107i	$0.672260\pi$
$278$	12.5797	−	12.5797i	0.754479	−	0.754479i
$279$	1.42847	−	5.38140i	0.0855202	−	0.322176i
$280$	−1.15066	−	5.32848i	−0.0687649	−	0.318437i
$281$	2.53237	−	1.83988i	0.151069	−	0.109758i	−0.509683	−	0.860362i	$-0.670237\pi$
$281$	2.53237	−	1.83988i	0.151069	−	0.109758i	0.660752	+	0.750604i	$0.270237\pi$
$282$	−8.77233	−	3.36738i	−0.522385	−	0.200525i
$283$	4.07070	−	2.07413i	0.241978	−	0.123294i	−0.328796	−	0.944401i	$-0.606643\pi$
$283$	4.07070	−	2.07413i	0.241978	−	0.123294i	0.570775	+	0.821107i	$0.306643\pi$
$284$	−1.75504	+	1.01327i	−0.104142	+	0.0601266i
$285$	7.29767	+	14.2085i	0.432277	+	0.841639i
$286$	5.59109	+	6.20953i	0.330608	+	0.367177i
$287$	16.8801	+	8.60087i	0.996404	+	0.507693i
$288$	0.998630	−	0.0523360i	0.0588448	−	0.00308393i
$289$	6.91448	−	15.5302i	0.406734	−	0.913539i
$290$	−13.8642	−	5.27049i	−0.814132	−	0.309494i
$291$	−7.05691	+	0.741712i	−0.413684	+	0.0434799i
$292$	−9.66576	+	7.82718i	−0.565646	+	0.458051i
$293$	−9.37526	−	14.4366i	−0.547709	−	0.843398i	0.451086	−	0.892481i	$-0.351037\pi$
$293$	−9.37526	−	14.4366i	−0.547709	−	0.843398i	−0.998795	+	0.0490830i	$0.984370\pi$
$294$	−0.854862	−	0.621094i	−0.0498566	−	0.0362229i
$295$	2.16123	+	0.953865i	0.125832	+	0.0555362i
$296$	2.05040	−	9.64636i	0.119177	−	0.560683i
$297$	2.17688	+	2.68822i	0.126315	+	0.155986i
$298$	5.59659	−	6.91121i	0.324202	−	0.400356i
$299$	3.43887	+	16.1786i	0.198875	+	0.935632i
$300$	3.55837	+	3.51255i	0.205442	+	0.202797i
$301$	−8.40574	−	7.56856i	−0.484499	−	0.436245i
$302$	−2.29715	+	4.50841i	−0.132186	+	0.259430i
$303$	−7.11202	−	0.372725i	−0.408575	−	0.0214125i
$304$	6.18633	+	3.57168i	0.354810	+	0.204850i
$305$	4.74444	+	5.23503i	0.271666	+	0.299757i
$306$	−0.0100964	−	0.00328051i	−0.000577170	−	0.000187534i
$307$	−1.94190	+	5.05883i	−0.110830	+	0.288723i	−0.977767	−	0.209696i	$-0.932753\pi$
$307$	−1.94190	+	5.05883i	−0.110830	+	0.288723i	0.866936	+	0.498419i	$0.166086\pi$
$308$	1.31920	−	8.32909i	0.0751683	−	0.474594i
$309$	0.547550			0.0311490
$310$	6.16472	−	10.8165i	0.350133	−	0.614335i
$311$	−3.61463			−0.204967			−0.102483	−	0.994735i	$-0.532679\pi$
$311$	−3.61463			−0.204967			−0.102483	+	0.994735i	$0.532679\pi$
$312$	0.377881	−	2.38585i	0.0213933	−	0.135072i
$313$	6.02991	−	15.7084i	0.340830	−	0.887894i	−0.650854	−	0.759203i	$-0.725589\pi$
$313$	6.02991	−	15.7084i	0.340830	−	0.887894i	0.991685	−	0.128691i	$-0.0410775\pi$
$314$	−1.88218	−	0.611558i	−0.106218	−	0.0345122i
$315$	−5.44472	−	0.267662i	−0.306775	−	0.0150810i
$316$	−6.66606	−	3.84865i	−0.374995	−	0.216503i
$317$	23.5585	+	1.23465i	1.32318	+	0.0693448i	0.700792	−	0.713365i	$-0.252830\pi$
$317$	23.5585	+	1.23465i	1.32318	+	0.0693448i	0.622386	+	0.782710i	$0.286163\pi$
$318$	−0.0984337	+	0.193187i	−0.00551989	+	0.0108334i
$319$	−17.0512	−	15.3530i	−0.954685	−	0.859602i
$320$	2.18870	+	0.457817i	0.122352	+	0.0255927i
$321$	3.22391	+	15.1673i	0.179941	+	0.846556i
$322$	10.5051	−	12.9727i	0.585426	−	0.722941i
$323$	−0.0477235	−	0.0589336i	−0.00265541	−	0.00327915i
$324$	0.207912	−	0.978148i	0.0115506	−	0.0543415i
$325$	10.0866	−	6.64361i	0.559503	−	0.368521i
$326$	−13.1596	−	9.56099i	−0.728841	−	0.529534i
$327$	−0.0336903	−	0.0518785i	−0.00186308	−	0.00286889i
$328$	−6.03925	+	4.89049i	−0.333462	+	0.270032i
$329$	22.7821	−	2.39449i	1.25602	−	0.132013i
$330$	3.16889	+	7.05584i	0.174442	+	0.388411i
$331$	−13.0886	+	29.3974i	−0.719413	+	1.61583i	0.0667197	+	0.997772i	$0.478747\pi$
$331$	−13.0886	+	29.3974i	−0.719413	+	1.61583i	−0.786133	+	0.618057i	$0.787920\pi$
$332$	−12.2221	+	0.640531i	−0.670772	+	0.0351537i
$333$	−8.78699	−	4.47719i	−0.481524	−	0.245349i
$334$	12.8690	+	14.2925i	0.704163	+	0.782052i
$335$	−10.1551	+	5.21580i	−0.554833	+	0.284969i
$336$	−2.11128	+	1.21895i	−0.115180	+	0.0664990i
$337$	4.58768	−	2.33754i	0.249907	−	0.127334i	−0.324551	−	0.945868i	$-0.605213\pi$
$337$	4.58768	−	2.33754i	0.249907	−	0.127334i	0.574457	+	0.818534i	$0.305213\pi$
$338$	6.68904	+	2.56768i	0.363836	+	0.139664i
$339$	11.0516	−	8.02944i	0.600239	−	0.436099i
$340$	−0.0199501	−	0.0128641i	−0.00108195	−	0.000697651i
$341$	14.9390	−	12.1553i	0.808993	−	0.658246i
$342$	5.05111	−	5.05111i	0.273133	−	0.273133i
$343$	19.3995	+	3.07258i	1.04747	+	0.165904i
$344$	4.23855	−	1.88713i	0.228528	−	0.101747i
$345$	−1.55108	+	15.2320i	−0.0835073	+	0.820066i
$346$	−9.05679	−	15.6868i	−0.486896	−	0.843329i
$347$	2.64095	−	0.707641i	0.141774	−	0.0379882i	−0.187234	−	0.982315i	$-0.559952\pi$
$347$	2.64095	−	0.707641i	0.141774	−	0.0379882i	0.329008	+	0.944327i	$0.393286\pi$
$348$	−0.347152	+	6.62406i	−0.0186093	+	0.355087i
$349$	−9.98152	+	3.24319i	−0.534299	+	0.173604i	−0.563725	−	0.825963i	$-0.690632\pi$
$349$	−9.98152	+	3.24319i	−0.534299	+	0.173604i	0.0294260	+	0.999567i	$0.490632\pi$
$350$	−11.6170	−	3.69156i	−0.620957	−	0.197322i
$351$	−2.20675	−	0.982508i	−0.117788	−	0.0524424i
$352$	2.90104	+	1.88396i	0.154626	+	0.100415i
$353$	−2.43427	−	1.97123i	−0.129563	−	0.104918i	0.562349	−	0.826900i	$-0.309898\pi$
$353$	−2.43427	−	1.97123i	−0.129563	−	0.104918i	−0.691912	+	0.721982i	$0.743231\pi$
$354$	0.110433	−	1.05070i	0.00586942	−	0.0558438i
$355$	0.0146803	+	4.53146i	0.000779148	+	0.240505i
$356$	−0.701931	+	0.966125i	−0.0372022	+	0.0512045i
$357$	0.0255619	−	0.00404861i	0.00135288	−	0.000214275i
$358$	4.82772	−	3.13516i	0.255153	−	0.165698i
$359$	−26.1268	−	2.74604i	−1.37892	−	0.144931i	−0.614128	−	0.789206i	$-0.710492\pi$
$359$	−26.1268	−	2.74604i	−1.37892	−	0.144931i	−0.764793	+	0.644276i	$0.777159\pi$
$360$	1.00869	−	1.99563i	0.0531628	−	0.105179i
$361$	31.3276	−	6.65889i	1.64882	−	0.350468i
$362$	4.87112	+	12.6897i	0.256020	+	0.666956i
$363$	0.0505217	+	0.964011i	0.00265170	+	0.0505975i
$364$	1.81979	+	5.60072i	0.0953827	+	0.293558i
$365$	4.43958	+	27.4545i	0.232378	+	1.43703i
$366$	1.57980	−	2.73629i	0.0825774	−	0.143028i
$367$	−7.58600	+	28.3113i	−0.395986	+	1.47784i	0.424108	+	0.905612i	$0.360588\pi$
$367$	−7.58600	+	28.3113i	−0.395986	+	1.47784i	−0.820094	+	0.572228i	$0.806079\pi$
$368$	3.10857	+	6.10091i	0.162045	+	0.318032i
$369$	3.16078	+	7.09922i	0.164543	+	0.369571i
$370$	−16.4354	−	14.7024i	−0.854436	−	0.764340i
$371$		−	0.528582i		−	0.0274426i
$372$	−5.44879	−	1.14487i	−0.282506	−	0.0593588i
$373$	25.2727	+	25.2727i	1.30857	+	1.30857i	0.922448	+	0.386121i	$0.126185\pi$
$373$	25.2727	+	25.2727i	1.30857	+	1.30857i	0.386121	+	0.922448i	$0.373815\pi$
$374$	−0.0215844	−	0.0297083i	−0.00111610	−	0.00153618i
$375$	10.7707	−	2.99850i	0.556199	−	0.154842i
$376$	−2.90366	+	8.93655i	−0.149745	+	0.460867i
$377$	15.4770	+	4.14704i	0.797105	+	0.213584i
$378$	0.630974	+	2.35483i	0.0324538	+	0.121119i
$379$	−27.8755	+	25.0992i	−1.43187	+	1.28926i	−0.536525	+	0.843884i	$0.680263\pi$
$379$	−27.8755	+	25.0992i	−1.43187	+	1.28926i	−0.895344	+	0.445376i	$0.853070\pi$
$380$	13.8071	−	8.03128i	0.708289	−	0.411996i
$381$	11.6695	−	12.9602i	0.597844	−	0.663973i
$382$	22.1922	−	8.51879i	1.13545	−	0.435859i
$383$	0.883629	−	1.36067i	0.0451513	−	0.0695270i	−0.815374	−	0.578934i	$-0.803469\pi$
$383$	0.883629	−	1.36067i	0.0451513	−	0.0695270i	0.860525	+	0.509407i	$0.170135\pi$
$384$	−0.104528	−	0.994522i	−0.00533420	−	0.0507515i
$385$	−14.6927	−	11.8193i	−0.748808	−	0.602366i
$386$	1.81612	+	0.386029i	0.0924382	+	0.0196484i
$387$	−0.725805	−	4.58255i	−0.0368947	−	0.232944i
$388$	1.11003	+	7.00842i	0.0563530	+	0.355799i
$389$	−13.5558	−	2.88138i	−0.687307	−	0.146092i	−0.148996	−	0.988838i	$-0.547604\pi$
$389$	−13.5558	−	2.88138i	−0.687307	−	0.146092i	−0.538311	+	0.842746i	$0.680937\pi$
$390$	−4.20868	−	3.38561i	−0.213115	−	0.171437i
$391$	−0.00759812	−	0.0722913i	−0.000384254	−	0.00365593i
$392$	−0.575502	+	0.886196i	−0.0290673	+	0.0447597i
$393$	6.78482	−	2.60445i	0.342249	−	0.131377i
$394$	−10.1619	+	11.2859i	−0.511947	+	0.568575i
$395$	−14.8778	+	8.65409i	−0.748583	+	0.435434i
$396$	2.57061	−	2.31459i	0.129178	−	0.116312i
$397$	−4.33590	−	16.1818i	−0.217612	−	0.812141i	−0.985231	−	0.171233i	$-0.945225\pi$
$397$	−4.33590	−	16.1818i	−0.217612	−	0.812141i	0.767618	−	0.640908i	$-0.221442\pi$
$398$	−19.2032	−	5.14549i	−0.962572	−	0.257920i
$399$	−5.38145	+	16.5624i	−0.269410	+	0.829158i
$400$	3.32151	−	3.73732i	0.166075	−	0.186866i
$401$	1.85724	+	2.55627i	0.0927461	+	0.127654i	0.852868	−	0.522126i	$-0.174861\pi$
$401$	1.85724	+	2.55627i	0.0927461	+	0.127654i	−0.760122	+	0.649780i	$0.774861\pi$
$402$	3.61014	+	3.61014i	0.180057	+	0.180057i
$403$	−5.44164	+	12.2994i	−0.271067	+	0.612677i
$404$			7.12178i			0.354322i
$405$	−1.66656	−	1.49083i	−0.0828121	−	0.0740800i
$406$	−6.57730	−	14.7729i	−0.326426	−	0.733165i
$407$	−15.4870	−	30.3950i	−0.767664	−	1.50663i
$408$	−0.00274761	+	0.0102542i	−0.000136027	+	0.000507659i
$409$	−17.1797	+	29.7561i	−0.849482	+	1.47135i	0.0321887	+	0.999482i	$0.489752\pi$
$409$	−17.1797	+	29.7561i	−0.849482	+	1.47135i	−0.881671	+	0.471865i	$0.843581\pi$
$410$	2.77389	+	17.1538i	0.136993	+	0.847165i
$411$	3.26844	+	10.0592i	0.161221	+	0.496186i
$412$	−0.0286565	−	0.546799i	−0.00141181	−	0.0269389i
$413$	0.923011	+	2.40453i	0.0454184	+	0.118319i
$414$	6.69758	−	1.42361i	0.329168	−	0.0699668i
$415$	−12.3452	+	24.4242i	−0.606004	+	1.19894i
$416$	−2.40236	−	0.252498i	−0.117785	−	0.0123797i
$417$	−14.9202	+	9.68932i	−0.730648	+	0.474488i
$418$	24.4053	−	3.86542i	1.19370	−	0.189064i
$419$	14.3065	−	19.6912i	0.698918	−	0.961978i	−0.301047	−	0.953609i	$-0.597336\pi$
$419$	14.3065	−	19.6912i	0.698918	−	0.961978i	0.999965	−	0.00836841i	$-0.00266378\pi$
$420$	0.0176601	+	5.45127i	0.000861725	+	0.265995i
$421$	−0.550843	+	5.24092i	−0.0268464	+	0.255427i	0.972864	+	0.231376i	$0.0743229\pi$
$421$	−0.550843	+	5.24092i	−0.0268464	+	0.255427i	−0.999711	+	0.0240505i	$0.992344\pi$
$422$	20.0060	+	16.2005i	0.973876	+	0.788629i
$423$	7.88052	+	5.11767i	0.383164	+	0.248830i
$424$	0.198074	+	0.0881882i	0.00961932	+	0.00428280i
$425$	−0.0471372	+	0.0244036i	−0.00228649	+	0.00118375i
$426$	1.92736	−	0.626236i	0.0933807	−	0.0303412i
$427$	−0.403132	+	7.69221i	−0.0195089	+	0.372252i
$428$	14.9778	−	4.01328i	0.723978	−	0.193989i
$429$	−4.17787	−	7.23629i	−0.201710	−	0.349371i
$430$	1.05101	−	10.3213i	0.0506843	−	0.497735i
$431$	−14.3377	+	6.38356i	−0.690624	+	0.307485i	−0.721872	−	0.692026i	$-0.756718\pi$
$431$	−14.3377	+	6.38356i	−0.690624	+	0.307485i	0.0312487	+	0.999512i	$0.490052\pi$
$432$	−0.987688	−	0.156434i	−0.0475202	−	0.00752646i
$433$	7.75730	−	7.75730i	0.372792	−	0.372792i	−0.495701	−	0.868493i	$-0.665089\pi$
$433$	7.75730	−	7.75730i	0.372792	−	0.372792i	0.868493	+	0.495701i	$0.165089\pi$
$434$	13.1029	−	3.54375i	0.628958	−	0.170105i
$435$	12.4654	+	8.03784i	0.597671	+	0.385385i
$436$	−0.0500442	+	0.0363592i	−0.00239668	+	0.00174129i
$437$	45.6633	+	17.5285i	2.18437	+	0.838502i
$438$	11.0819	−	5.64651i	0.529514	−	0.269801i
$439$	15.6549	−	9.03834i	0.747166	−	0.431377i	−0.0775029	−	0.996992i	$-0.524695\pi$
$439$	15.6549	−	9.03834i	0.747166	−	0.431377i	0.824669	+	0.565616i	$0.191361\pi$
$440$	6.88032	−	3.53382i	0.328006	−	0.168468i
$441$	0.707049	+	0.785257i	0.0336690	+	0.0373932i
$442$	0.0228487	+	0.0116420i	0.00108680	+	0.000553754i
$443$	22.8411	−	1.19705i	1.08521	−	0.0568737i	0.498671	−	0.866791i	$-0.333822\pi$
$443$	22.8411	−	1.19705i	1.08521	−	0.0568737i	0.586544	+	0.809918i	$0.300488\pi$
$444$	−4.01118	+	9.00926i	−0.190362	+	0.427561i
$445$	1.09401	+	2.43591i	0.0518609	+	0.115473i
$446$	−9.40502	+	0.988507i	−0.445340	+	0.0468072i
$447$	−6.91121	+	5.59659i	−0.326889	+	0.264710i
$448$	1.32777	+	2.04459i	0.0627314	+	0.0965978i
$449$	−5.36334	−	3.89670i	−0.253112	−	0.183896i	0.453993	−	0.891005i	$-0.349999\pi$
$449$	−5.36334	−	3.89670i	−0.253112	−	0.183896i	−0.707105	+	0.707109i	$0.749999\pi$
$450$	−2.75031	−	4.17562i	−0.129651	−	0.196841i
$451$	−5.58884	+	26.2934i	−0.263168	+	1.23811i
$452$	−8.59683	−	10.6162i	−0.404361	−	0.499344i
$453$	3.18430	−	3.93229i	0.149612	−	0.184755i
$454$	−2.22805	−	10.4821i	−0.104567	−	0.491951i
$455$	12.8891	+	2.69606i	0.604252	+	0.126393i
$456$	−5.30855	−	4.77984i	−0.248595	−	0.223836i
$457$	−0.650045	+	1.27578i	−0.0304078	+	0.0596787i	−0.905711	−	0.423896i	$-0.860662\pi$
$457$	−0.650045	+	1.27578i	−0.0304078	+	0.0596787i	0.875303	+	0.483575i	$0.160662\pi$
$458$	9.54031	+	0.499986i	0.445789	+	0.0233628i
$459$	0.00919367	+	0.00530797i	0.000429124	+	0.000247755i
$460$	15.2924	+	0.751769i	0.713010	+	0.0350514i
$461$	17.1784	+	5.58161i	0.800079	+	0.259961i	0.680390	−	0.732850i	$-0.261810\pi$
$461$	17.1784	+	5.58161i	0.800079	+	0.259961i	0.119689	+	0.992811i	$0.461810\pi$
$462$	−3.02208	+	7.87280i	−0.140600	+	0.366276i
$463$	−2.40099	+	15.1593i	−0.111583	+	0.704510i	0.866946	+	0.498402i	$0.166080\pi$
$463$	−2.40099	+	15.1593i	−0.111583	+	0.704510i	−0.978529	+	0.206108i	$0.933920\pi$
$464$	6.63315			0.307936
$465$	−8.27888	+	9.29839i	−0.383924	+	0.431203i
$466$	−29.8109			−1.38096
$467$	−3.70718	+	23.4062i	−0.171548	+	1.08311i	0.740208	+	0.672378i	$0.234727\pi$
$467$	−3.70718	+	23.4062i	−0.171548	+	1.08311i	−0.911756	+	0.410733i	$0.865273\pi$
$468$	−0.865669	+	2.25515i	−0.0400156	+	0.104244i
$469$	−11.8375	−	3.84624i	−0.546605	−	0.177603i
$470$	14.1097	+	15.5686i	0.650831	+	0.718128i
$471$	1.71390	+	0.989522i	0.0789724	+	0.0455947i
$472$	−1.05504	−	0.0552921i	−0.0485619	−	0.00254502i
$473$	7.28613	−	14.2998i	0.335016	−	0.657507i
$474$	5.72021	+	5.15050i	0.262738	+	0.236570i
$475$	−0.231416	−	35.7160i	−0.0106181	−	1.63876i
$476$	−0.00538087	−	0.0253150i	−0.000246632	−	0.00116031i
$477$	0.136449	−	0.168500i	0.00624755	−	0.00771508i
$478$	12.8952	+	15.9243i	0.589815	+	0.728360i
$479$	2.83114	−	13.3195i	0.129358	−	0.608583i	−0.864933	−	0.501887i	$-0.832639\pi$
$479$	2.83114	−	13.3195i	0.129358	−	0.608583i	0.994292	−	0.106696i	$-0.0340272\pi$
$480$	−2.04569	−	0.902868i	−0.0933723	−	0.0412101i
$481$	19.2726	+	14.0023i	0.878754	+	0.638452i
$482$	−9.27276	−	14.2788i	−0.422363	−	0.650382i
$483$	−12.9727	+	10.5051i	−0.590279	+	0.477999i
$484$	0.960046	−	0.100905i	0.0436384	−	0.00458659i
$485$	14.8311	+	5.63808i	0.673448	+	0.256012i
$486$	−0.406737	+	0.913545i	−0.0184499	+	0.0414393i
$487$	15.2400	−	0.798696i	0.690592	−	0.0361924i	0.296188	−	0.955130i	$-0.404284\pi$
$487$	15.2400	−	0.798696i	0.690592	−	0.0361924i	0.394404	+	0.918937i	$0.370951\pi$
$488$	−2.81522	−	1.43443i	−0.127439	−	0.0649334i
$489$	10.8842	+	12.0881i	0.492199	+	0.546642i
$490$	1.07949	+	2.10177i	0.0487666	+	0.0949481i
$491$	−0.425557	+	0.245696i	−0.0192051	+	0.0110881i	−0.509572	−	0.860428i	$-0.670196\pi$
$491$	−0.425557	+	0.245696i	−0.0192051	+	0.0110881i	0.490367	+	0.871516i	$0.336863\pi$
$492$	6.92407	−	3.52799i	0.312161	−	0.159054i
$493$	−0.0657400	−	0.0252352i	−0.00296078	−	0.00113654i
$494$	−13.9599	+	10.1425i	−0.628086	+	0.456331i
$495$	−1.63265	−	7.56050i	−0.0733822	−	0.339819i
$496$	−0.858134	+	5.50124i	−0.0385314	+	0.247013i
$497$	−3.49346	+	3.49346i	−0.156703	+	0.156703i
$498$	12.0881	+	1.91457i	0.541683	+	0.0857941i
$499$	6.33795	−	2.82184i	0.283726	−	0.126323i	−0.259940	−	0.965625i	$-0.583703\pi$
$499$	6.33795	−	2.82184i	0.283726	−	0.126323i	0.543666	+	0.839302i	$0.317036\pi$
$500$	−3.55809	−	10.5991i	−0.159123	−	0.474004i
$501$	−9.61624	−	16.6558i	−0.429622	−	0.744127i
$502$	−23.3787	+	6.26429i	−1.04344	+	0.279589i
$503$	−2.01570	+	38.4619i	−0.0898758	+	1.71493i	0.466934	+	0.884292i	$0.345358\pi$
$503$	−2.01570	+	38.4619i	−0.0898758	+	1.71493i	−0.556810	+	0.830640i	$0.687975\pi$
$504$	2.31858	−	0.753351i	0.103278	−	0.0335569i
$505$	13.8170	+	7.91767i	0.614848	+	0.352332i
$506$	21.6374	+	9.63361i	0.961902	+	0.428266i
$507$	−6.00902	−	3.90230i	−0.266870	−	0.173307i
$508$	−13.5532	−	10.9752i	−0.601327	−	0.486945i
$509$	0.294132	−	2.79848i	0.0130372	−	0.124040i	−0.986068	−	0.166345i	$-0.946803\pi$
$509$	0.294132	−	2.79848i	0.0130372	−	0.124040i	0.999105	+	0.0423049i	$0.0134701\pi$
$510$	0.0168396	+	0.0167308i	0.000745668	+	0.000740853i
$511$	−17.8224	+	24.5305i	−0.788419	+	1.08517i
$512$	−0.987688	+	0.156434i	−0.0436501	+	0.00691349i
$513$	−5.99092	+	3.89055i	−0.264506	+	0.171772i
$514$	20.2806	+	2.13158i	0.894538	+	0.0940198i
$515$	−1.09271	−	0.552310i	−0.0481504	−	0.0243377i
$516$	−4.53829	+	0.964643i	−0.199787	+	0.0424660i
$517$	11.6481	+	30.3443i	0.512283	+	1.33454i
$518$	−1.25827	−	24.0092i	−0.0552853	−	1.05491i
$519$	5.59741	+	17.2270i	0.245699	+	0.756183i
$520$	−3.16070	+	4.38010i	−0.138606	+	0.192080i
$521$	16.7503	−	29.0123i	0.733843	−	1.27105i	−0.221386	−	0.975186i	$-0.571058\pi$
$521$	16.7503	−	29.0123i	0.733843	−	1.27105i	0.955229	−	0.295867i	$-0.0956086\pi$
$522$	1.71678	−	6.40713i	0.0751416	−	0.280432i
$523$	−11.4865	−	22.5436i	−0.502270	−	0.985761i	−0.993403	−	0.114676i	$-0.963417\pi$
$523$	−11.4865	−	22.5436i	−0.502270	−	0.985761i	0.491133	−	0.871085i	$-0.336583\pi$
$524$	−2.95597	−	6.63922i	−0.129132	−	0.290036i
$525$	10.5957	+	6.02621i	0.462433	+	0.263005i
$526$		−	7.55747i		−	0.329521i
$527$	0.0294338	−	0.0512571i	0.00128216	−	0.00223280i
$528$	−2.44595	−	2.44595i	−0.106446	−	0.106446i
$529$	14.0388	+	19.3227i	0.610382	+	0.840119i
$530$	0.391304	−	0.286240i	0.0169972	−	0.0124335i
$531$	−0.326471	+	1.00478i	−0.0141676	+	0.0436035i
$532$	16.8214	+	4.50727i	0.729298	+	0.195415i
$533$	−4.85847	−	18.1321i	−0.210444	−	0.785386i
$534$	0.887460	−	0.799073i	0.0384042	−	0.0345793i
$535$	8.86543	−	33.5202i	0.383286	−	1.44921i
$536$	3.41625	−	3.79413i	0.147560	−	0.163881i
$537$	−5.37406	+	2.06291i	−0.231908	+	0.0890211i
$538$	2.24689	−	3.45991i	0.0968705	−	0.149167i
$539$	0.382063	+	3.63509i	0.0164566	+	0.156574i
$540$	−1.40157	+	1.74230i	−0.0603138	+	0.0749767i
$541$	37.3806	+	7.94550i	1.60712	+	0.341604i	0.922109	−	0.386930i	$-0.126465\pi$
$541$	37.3806	+	7.94550i	1.60712	+	0.341604i	0.685010	+	0.728534i	$0.259798\pi$
$542$	0.0598753	+	0.378038i	0.00257187	+	0.0162381i
$543$	−2.12634	−	13.4252i	−0.0912498	−	0.576129i
$544$	0.0103840	+	0.00220718i	0.000445208	+	9.46320e-5i
$545$	0.0149038	+	0.137513i	0.000638409	+	0.00589043i
$546$	−0.615563	−	5.85669i	−0.0263437	−	0.250643i
$547$	−16.7189	+	25.7448i	−0.714847	+	1.10077i	0.275385	+	0.961334i	$0.411195\pi$
$547$	−16.7189	+	25.7448i	−0.714847	+	1.10077i	−0.990231	+	0.139433i	$0.955472\pi$
$548$	9.87440	−	3.79043i	0.421813	−	0.161919i
$549$	−2.11418	+	2.34804i	−0.0902311	+	0.100212i
$550$	0.793249	−	17.2773i	0.0338242	−	0.736705i
$551$	35.2124	−	31.7054i	1.50010	−	1.35069i
$552$	−1.77219	−	6.61389i	−0.0754293	−	0.281506i
$553$	−18.1258	−	4.85679i	−0.770788	−	0.206532i
$554$	3.85438	−	11.8625i	0.163757	−	0.503991i
$555$	13.0195	+	17.7982i	0.552645	+	0.755491i
$556$	10.4569	+	14.3927i	0.443472	+	0.610386i
$557$	−19.6051	−	19.6051i	−0.830695	−	0.830695i	0.156917	−	0.987612i	$-0.449845\pi$
$557$	−19.6051	−	19.6051i	−0.830695	−	0.830695i	−0.987612	+	0.156917i	$0.949845\pi$
$558$	5.09169	+	2.25272i	0.215548	+	0.0953652i
$559$			11.2075i			0.474029i
$560$	5.44288	−	0.302933i	0.230003	−	0.0128013i
$561$	0.0149360	+	0.0335468i	0.000630598	+	0.00141635i
$562$	1.42107	+	2.78902i	0.0599444	+	0.117648i
$563$	5.81381	−	21.6974i	0.245023	−	0.914438i	−0.728349	−	0.685206i	$-0.759712\pi$
$563$	5.81381	−	21.6974i	0.245023	−	0.914438i	0.973372	−	0.229232i	$-0.0736213\pi$
$564$	4.69822	−	8.13756i	0.197831	−	0.342653i
$565$	−30.1541	+	4.87613i	−1.26859	+	0.205140i
$566$	1.41179	+	4.34505i	0.0593421	+	0.182636i
$567$	−0.127590	−	2.43455i	−0.00535826	−	0.102242i
$568$	−0.726248	−	1.89194i	−0.0304727	−	0.0793841i
$569$	45.7886	−	9.73267i	1.91956	−	0.408015i	0.919676	−	0.392678i	$-0.128451\pi$
$569$	45.7886	−	9.73267i	1.91956	−	0.408015i	0.999882	−	0.0153371i	$-0.00488215\pi$
$570$	−15.1752	+	4.98512i	−0.635618	+	0.208804i
$571$	35.7800	+	3.76063i	1.49735	+	0.157378i	0.817480	−	0.575957i	$-0.195371\pi$
$571$	35.7800	+	3.76063i	1.49735	+	0.157378i	0.679868	+	0.733335i	$0.262037\pi$
$572$	−7.00772	+	4.55087i	−0.293007	+	0.190281i
$573$	−23.4784	+	3.71862i	−0.980825	+	0.155347i
$574$	−11.1356	+	15.3269i	−0.464791	+	0.639731i
$575$	18.4599	−	28.8330i	0.769829	−	1.20242i
$576$	−0.104528	+	0.994522i	−0.00435535	+	0.0414384i
$577$	−23.6420	−	19.1449i	−0.984231	−	0.797014i	−0.00504625	−	0.999987i	$-0.501606\pi$
$577$	−23.6420	−	19.1449i	−0.984231	−	0.797014i	−0.979184	+	0.202973i	$0.934940\pi$
$578$	14.2573	+	9.25880i	0.593026	+	0.385115i
$579$	−1.69618	−	0.755187i	−0.0704907	−	0.0313845i
$580$	7.37443	−	12.8690i	0.306207	−	0.534356i
$581$	−28.3767	+	9.22013i	−1.17726	+	0.382516i
$582$	0.371365	−	7.08606i	0.0153936	−	0.293727i
$583$	0.724442	−	0.194114i	0.0300033	−	0.00803936i
$584$	−6.21876	−	10.7712i	−0.257334	−	0.445716i
$585$	3.41280	+	4.18666i	0.141102	+	0.173097i
$586$	15.7255	−	7.00145i	0.649615	−	0.289227i
$587$	−7.92111	−	1.25458i	−0.326939	−	0.0517821i	−0.00919264	−	0.999958i	$-0.502926\pi$
$587$	−7.92111	−	1.25458i	−0.326939	−	0.0517821i	−0.317747	+	0.948176i	$0.602926\pi$
$588$	0.747177	−	0.747177i	0.0308130	−	0.0308130i
$589$	21.7396	+	33.3053i	0.895763	+	1.37232i
$590$	−1.28021	+	1.98541i	−0.0527055	+	0.0817379i
$591$	12.2863	−	8.92649i	0.505389	−	0.367187i
$592$	9.20685	+	3.53418i	0.378399	+	0.145254i
$593$	−28.3075	+	14.4234i	−1.16245	+	0.592298i	−0.925323	−	0.379180i	$-0.876206\pi$
$593$	−28.3075	+	14.4234i	−1.16245	+	0.592298i	−0.237128	+	0.971478i	$0.576206\pi$
$594$	−2.99566	+	1.72955i	−0.122914	+	0.0709642i
$595$	−0.0550959	−	0.0177046i	−0.00225871	−	0.000725819i
$596$	5.95062	+	6.60884i	0.243747	+	0.270709i
$597$	17.7138	+	9.02563i	0.724978	+	0.369395i
$598$	−16.5174	+	0.865638i	−0.675445	+	0.0353986i
$599$	−4.81376	+	10.8119i	−0.196685	+	0.441761i	−0.984783	−	0.173788i	$-0.944399\pi$
$599$	−4.81376	+	10.8119i	−0.196685	+	0.441761i	0.788098	+	0.615549i	$0.211066\pi$
$600$	−4.02596	+	2.96507i	−0.164359	+	0.121049i
$601$	−0.135270	+	0.0142174i	−0.00551778	+	0.000579942i	−0.107287	−	0.994228i	$-0.534216\pi$
$601$	−0.135270	+	0.0142174i	−0.00551778	+	0.000579942i	0.101769	+	0.994808i	$0.467550\pi$
$602$	8.79033	−	7.11827i	0.358267	−	0.290119i
$603$	−2.78066	−	4.28184i	−0.113237	−	0.174370i
$604$	−4.09355	−	2.97414i	−0.166564	−	0.121016i
$605$	0.871569	−	1.97477i	0.0354343	−	0.0802858i
$606$	1.48070	−	6.96615i	0.0601494	−	0.282980i
$607$	−8.21899	−	10.1496i	−0.333598	−	0.411960i	0.582553	−	0.812793i	$-0.302054\pi$
$607$	−8.21899	−	10.1496i	−0.333598	−	0.411960i	−0.916151	+	0.400833i	$0.868721\pi$
$608$	−4.49546	+	5.55143i	−0.182315	+	0.225140i
$609$	3.36212	+	15.8175i	0.136240	+	0.640959i
$610$	−5.91277	+	3.86709i	−0.239401	+	0.156574i
$611$	−16.8679	−	15.1879i	−0.682400	−	0.614436i
$612$	0.00481953	−	0.00945887i	0.000194818	−	0.000382352i
$613$	−41.5080	−	2.17534i	−1.67649	−	0.0878613i	−0.809802	−	0.586704i	$-0.800425\pi$
$613$	−41.5080	−	2.17534i	−1.67649	−	0.0878613i	−0.866693	+	0.498842i	$0.833759\pi$
$614$	−4.69277	−	2.70937i	−0.189385	−	0.109341i
$615$	0.853201	−	17.3557i	0.0344044	−	0.699848i
$616$	8.02017	+	2.60591i	0.323142	+	0.104995i
$617$	10.4788	−	27.2983i	0.421862	−	1.09899i	−0.543806	−	0.839211i	$-0.683017\pi$
$617$	10.4788	−	27.2983i	0.421862	−	1.09899i	0.965668	−	0.259778i	$-0.0836494\pi$
$618$	−0.0856557	+	0.540809i	−0.00344558	+	0.0217545i
$619$	−22.9837			−0.923792			−0.461896	−	0.886934i	$-0.652831\pi$
$619$	−22.9837			−0.923792			−0.461896	+	0.886934i	$0.652831\pi$
$620$	9.71893	+	7.78089i	0.390322	+	0.312488i
$621$	−6.84721			−0.274769
$622$	0.565452	−	3.57012i	0.0226726	−	0.143149i
$623$	−1.04333	+	2.71795i	−0.0417999	+	0.108893i
$624$	2.29736	+	0.746458i	0.0919680	+	0.0298822i
$625$	−24.5190	−	4.88048i	−0.980760	−	0.195219i
$626$	14.5718	+	8.41301i	0.582405	+	0.336251i
$627$	−24.6757	−	1.29320i	−0.985451	−	0.0516453i
$628$	0.898467	−	1.76334i	0.0358527	−	0.0703649i
$629$	−0.0778020	−	0.0700533i	−0.00310217	−	0.00279321i
$630$	1.11611	−	5.33582i	0.0444668	−	0.212584i
$631$	−3.37035	−	15.8562i	−0.134171	−	0.631227i	−0.992916	−	0.118822i	$-0.962088\pi$
$631$	−3.37035	−	15.8562i	−0.134171	−	0.631227i	0.858744	−	0.512405i	$-0.171245\pi$
$632$	4.84407	−	5.98193i	0.192687	−	0.237948i
$633$	−16.2005	−	20.0060i	−0.643913	−	0.795167i
$634$	−4.90481	+	23.0753i	−0.194795	+	0.916439i
$635$	−36.3608	+	14.0929i	−1.44294	+	0.559261i
$636$	−0.175410	−	0.127443i	−0.00695547	−	0.00505344i
$637$	−1.39018	−	2.14068i	−0.0550808	−	0.0848170i
$638$	17.8314	−	14.4396i	0.705951	−	0.571667i
$639$	−2.01544	+	0.211831i	−0.0797296	+	0.00837992i
$640$	−0.794568	+	2.09013i	−0.0314081	+	0.0826198i
$641$	12.4926	−	28.0587i	0.493426	−	1.10825i	−0.479585	−	0.877495i	$-0.659213\pi$
$641$	12.4926	−	28.0587i	0.493426	−	1.10825i	0.973011	−	0.230758i	$-0.0741205\pi$
$642$	−15.4849	+	0.811529i	−0.611140	+	0.0320285i
$643$	−43.7163	−	22.2746i	−1.72400	−	0.878423i	−0.976895	−	0.213721i	$-0.931442\pi$
$643$	−43.7163	−	22.2746i	−1.72400	−	0.878423i	−0.747108	−	0.664702i	$-0.768558\pi$
$644$	11.1696	+	12.4051i	0.440146	+	0.488831i
$645$	−3.17396	+	9.87719i	−0.124974	+	0.388914i
$646$	0.0656736	−	0.0379167i	0.00258390	−	0.00149181i
$647$	7.94256	−	4.04694i	0.312254	−	0.159101i	−0.290839	−	0.956772i	$-0.593935\pi$
$647$	7.94256	−	4.04694i	0.312254	−	0.159101i	0.603094	+	0.797670i	$0.293935\pi$
$648$	0.933580	+	0.358368i	0.0366745	+	0.0140780i
$649$	−2.95653	+	2.14805i	−0.116054	+	0.0843182i
$650$	4.98393	+	11.0017i	0.195486	+	0.431522i
$651$	−13.5533	+	0.742070i	−0.531197	+	0.0290840i
$652$	11.5019	−	11.5019i	0.450449	−	0.450449i
$653$	−22.9152	−	3.62942i	−0.896743	−	0.142030i	−0.308985	−	0.951067i	$-0.599989\pi$
$653$	−22.9152	−	3.62942i	−0.896743	−	0.142030i	−0.587758	+	0.809037i	$0.699989\pi$
$654$	0.0565101	−	0.0251599i	0.00220972	−	0.000983831i
$655$	−16.1671	−	1.64629i	−0.631700	−	0.0643260i
$656$	−3.88553	−	6.72994i	−0.151705	−	0.262760i
$657$	−12.0137	+	3.21907i	−0.468700	+	0.125588i
$658$	−1.19889	+	22.8761i	−0.0467375	+	0.891805i
$659$	−9.70290	+	3.15266i	−0.377971	+	0.122810i	−0.491840	−	0.870685i	$-0.663676\pi$
$659$	−9.70290	+	3.15266i	−0.377971	+	0.122810i	0.113869	+	0.993496i	$0.463676\pi$
$660$	−7.46469	+	2.02610i	−0.290563	+	0.0788658i
$661$	3.23918	+	1.44218i	0.125990	+	0.0560942i	0.468763	−	0.883324i	$-0.344700\pi$
$661$	3.23918	+	1.44218i	0.125990	+	0.0560942i	−0.342774	+	0.939418i	$0.611366\pi$
$662$	−26.9880	−	17.5262i	−1.04892	−	0.681175i
$663$	−0.0199289	−	0.0161381i	−0.000773975	−	0.000626753i
$664$	1.27931	−	12.1718i	0.0496467	−	0.472357i
$665$	27.4458	−	27.6242i	1.06430	−	1.07122i
$666$	5.79666	−	7.97842i	0.224616	−	0.309157i
$667$	44.8593	−	7.10502i	1.73696	−	0.275108i
$668$	−16.1297	+	10.4748i	−0.624077	+	0.405281i
$669$	9.40502	+	0.988507i	0.363619	+	0.0382179i
$670$	−3.56297	−	10.8460i	−0.137650	−	0.419018i
$671$	−10.6905	+	2.27234i	−0.412703	+	0.0877226i
$672$	−0.873663	−	2.27597i	−0.0337023	−	0.0877975i
$673$	0.0494996	+	0.944509i	0.00190807	+	0.0364081i	0.999418	−	0.0341232i	$-0.0108639\pi$
$673$	0.0494996	+	0.944509i	0.00190807	+	0.0364081i	−0.997510	+	0.0705313i	$0.977531\pi$
$674$	1.59109	+	4.89687i	0.0612865	+	0.188620i
$675$	1.82205	+	4.65619i	0.0701306	+	0.179217i
$676$	−3.58247	+	6.20502i	−0.137787	+	0.238654i
$677$	−0.919048	+	3.42993i	−0.0353219	+	0.131823i	−0.981335	−	0.192304i	$-0.938404\pi$
$677$	−0.919048	+	3.42993i	−0.0353219	+	0.131823i	0.946013	+	0.324127i	$0.105071\pi$
$678$	6.20174	+	12.1716i	0.238176	+	0.467447i
$679$	7.03605	+	15.8032i	0.270019	+	0.606472i
$680$	0.0158266	−	0.0176921i	0.000606921	−	0.000678461i
$681$			10.7163i			0.410650i
$682$	9.66867	+	16.6566i	0.370233	+	0.637814i
$683$	8.20805	+	8.20805i	0.314072	+	0.314072i	0.846485	−	0.532413i	$-0.178714\pi$
$683$	8.20805	+	8.20805i	0.314072	+	0.314072i	−0.532413	+	0.846485i	$0.678714\pi$
$684$	4.19876	+	5.77909i	0.160544	+	0.220969i
$685$	3.62409	−	23.3714i	0.138469	−	0.892974i
$686$	−6.06950	+	18.6800i	−0.231735	+	0.713206i
$687$	−9.22788	−	2.47260i	−0.352065	−	0.0943356i
$688$	1.20084	+	4.48158i	0.0457815	+	0.170859i
$689$	−0.389219	+	0.350454i	−0.0148280	+	0.0133512i
$690$	−14.8019	−	3.91480i	−0.563498	−	0.149034i
$691$	−18.4486	+	20.4892i	−0.701817	+	0.779447i	−0.983664	−	0.180012i	$-0.942386\pi$
$691$	−18.4486	+	20.4892i	−0.701817	+	0.779447i	0.281847	+	0.959459i	$0.409053\pi$
$692$	16.9105	−	6.49133i	0.642840	−	0.246763i
$693$	4.59289	−	7.07243i	0.174470	−	0.268660i
$694$	0.285793	+	2.71914i	0.0108486	+	0.103217i
$695$	39.5488	−	4.28633i	1.50017	−	0.162590i
$696$	−6.48820	−	1.37911i	−0.245934	−	0.0522750i
$697$	0.0129054	+	0.0814814i	0.000488827	+	0.00308633i
$698$	−1.64181	−	10.3660i	−0.0621434	−	0.392358i
$699$	29.1595	+	6.19804i	1.10291	+	0.234431i
$700$	5.46342	−	10.8965i	0.206498	−	0.411850i
$701$	3.68467	+	35.0573i	0.139168	+	1.32410i	0.811720	+	0.584046i	$0.198531\pi$
$701$	3.68467	+	35.0573i	0.139168	+	1.32410i	−0.672552	+	0.740050i	$0.734802\pi$
$702$	1.31562	−	2.02588i	0.0496550	−	0.0764620i
$703$	65.7677	−	25.2459i	2.48048	−	0.952166i
$704$	−2.31459	+	2.57061i	−0.0872342	+	0.0968834i
$705$	−10.5644	−	18.1620i	−0.397880	−	0.684021i
$706$	2.32776	−	2.09593i	0.0876065	−	0.0788813i
$707$	4.49365	+	16.7705i	0.169001	+	0.630721i
$708$	1.02048	+	0.273438i	0.0383522	+	0.0102764i
$709$	4.33967	−	13.3561i	0.162980	−	0.501600i	−0.835902	−	0.548879i	$-0.815055\pi$
$709$	4.33967	−	13.3561i	0.162980	−	0.501600i	0.998882	+	0.0472785i	$0.0150548\pi$
$710$	−4.47797	−	0.694378i	−0.168055	−	0.0260595i
$711$	−4.52436	−	6.22725i	−0.169677	−	0.233540i
$712$	−0.844424	−	0.844424i	−0.0316461	−	0.0316461i
$713$	0.0891091	+	38.1235i	0.00333716	+	1.42774i
$714$			0.0258805i			0.000968555i
$715$	1.03829	+	18.6551i	0.0388297	+	0.697663i
$716$	2.34134	+	5.25873i	0.0874999	+	0.196528i
$717$	−9.30260	−	18.2574i	−0.347412	−	0.681834i
$718$	6.79937	−	25.3756i	0.253750	−	0.947009i
$719$	−10.8119	+	18.7267i	−0.403215	+	0.698388i	−0.994112	−	0.108359i	$-0.965441\pi$
$719$	−10.8119	+	18.7267i	−0.403215	+	0.698388i	0.590897	+	0.806747i	$0.298774\pi$
$720$	1.81327	+	1.30846i	0.0675764	+	0.0487634i
$721$	−0.412497	−	1.26954i	−0.0153622	−	0.0472800i
$722$	1.67619	+	31.9836i	0.0623813	+	1.19031i
$723$	6.10140	+	15.8947i	0.226913	+	0.591130i
$724$	−13.2955	+	2.82604i	−0.494123	+	0.105029i
$725$	−16.7686	−	28.6143i	−0.622771	−	1.06271i
$726$	−0.960046	−	0.100905i	−0.0356306	−	0.00374493i
$727$	4.41858	−	2.86946i	0.163876	−	0.106422i	−0.460095	−	0.887870i	$-0.652185\pi$
$727$	4.41858	−	2.86946i	0.163876	−	0.106422i	0.623972	+	0.781447i	$0.285518\pi$
$728$	−5.81645	+	0.921235i	−0.215572	+	0.0341432i
$729$	0.587785	−	0.809017i	0.0217698	−	0.0299636i
$730$	−27.8110	+	0.0900974i	−1.02933	+	0.00333465i
$731$	0.00514850	−	0.0489847i	0.000190424	−	0.00181176i
$732$	2.45547	+	1.98840i	0.0907567	+	0.0734933i
$733$	−7.36272	−	4.78140i	−0.271948	−	0.176605i	0.401459	−	0.915877i	$-0.368503\pi$
$733$	−7.36272	−	4.78140i	−0.271948	−	0.176605i	−0.673407	+	0.739272i	$0.735170\pi$
$734$	−26.7761	−	11.9215i	−0.988323	−	0.440030i
$735$	−0.618923	−	2.28028i	−0.0228293	−	0.0841093i
$736$	−6.51208	+	2.11590i	−0.240038	+	0.0779932i
$737$	0.924275	−	17.6362i	0.0340461	−	0.649639i
$738$	−7.50627	+	2.01130i	−0.276310	+	0.0740369i
$739$	−24.0161	−	41.5971i	−0.883446	−	1.53017i	−0.847484	−	0.530821i	$-0.821884\pi$
$739$	−24.0161	−	41.5971i	−0.883446	−	1.53017i	−0.0359619	−	0.999353i	$-0.511450\pi$
$740$	17.0924	−	13.9331i	0.628330	−	0.512191i
$741$	15.7636	−	7.01840i	0.579090	−	0.257827i
$742$	0.522074	+	0.0826884i	0.0191659	+	0.00303559i
$743$	−2.33458	+	2.33458i	−0.0856474	+	0.0856474i	−0.748633	−	0.662985i	$-0.769289\pi$
$743$	−2.33458	+	2.33458i	−0.0856474	+	0.0856474i	0.662985	+	0.748633i	$0.269289\pi$
$744$	1.98315	−	5.20261i	0.0727059	−	0.190737i
$745$	19.4375	−	4.19742i	0.712134	−	0.153782i
$746$	−28.9150	+	21.0080i	−1.05865	+	0.769158i
$747$	−11.4259	−	4.38600i	−0.418053	−	0.160475i
$748$	0.0327191	−	0.0166712i	0.00119633	−	0.000609560i
$749$	32.7378	−	18.9012i	1.19621	−	0.690634i
$750$	1.27667	+	11.1072i	0.0466175	+	0.405578i
$751$	9.11478	+	10.1230i	0.332603	+	0.369393i	0.886129	−	0.463439i	$-0.153385\pi$
$751$	9.11478	+	10.1230i	0.332603	+	0.369393i	−0.553526	+	0.832832i	$0.686718\pi$
$752$	−8.37229	−	4.26590i	−0.305306	−	0.155561i
$753$	24.1702	−	1.26671i	0.880811	−	0.0461613i
$754$	−6.51712	+	14.6377i	−0.237340	+	0.533073i
$755$	−10.3212	+	4.63540i	−0.375626	+	0.168699i
$756$	−2.42454	+	0.254829i	−0.0881797	+	0.00926806i
$757$	−15.6106	+	12.6412i	−0.567376	+	0.459452i	−0.869581	−	0.493791i	$-0.835611\pi$
$757$	−15.6106	+	12.6412i	−0.567376	+	0.459452i	0.302204	+	0.953243i	$0.402277\pi$
$758$	−20.4295	−	31.4587i	−0.742034	−	1.14263i
$759$	−19.1617	−	13.9218i	−0.695525	−	0.505328i
$760$	5.77250	+	14.8935i	0.209391	+	0.540243i
$761$	5.08251	−	23.9113i	0.184241	−	0.866786i	−0.784774	−	0.619782i	$-0.787221\pi$
$761$	5.08251	−	23.9113i	0.184241	−	0.866786i	0.969015	−	0.247003i	$-0.0794458\pi$
$762$	10.9752	+	13.5532i	0.397589	+	0.490981i
$763$	−0.0949036	+	0.117196i	−0.00343574	+	0.00424279i
$764$	4.94229	+	23.2516i	0.178806	+	0.841214i
$765$	−0.0129930	−	0.0198663i	−0.000469765	−	0.000718269i
$766$	1.20569	+	1.08561i	0.0435633	+	0.0392245i
$767$	1.15860	−	2.27387i	0.0418345	−	0.0821048i
$768$	0.998630	+	0.0523360i	0.0360349	+	0.00188851i
$769$	−5.76536	−	3.32863i	−0.207904	−	0.120034i	0.392433	−	0.919781i	$-0.371634\pi$
$769$	−5.76536	−	3.32863i	−0.207904	−	0.120034i	−0.600337	+	0.799747i	$0.704967\pi$
$770$	13.9722	−	12.6628i	0.503523	−	0.456337i
$771$	−19.3942	−	6.30157i	−0.698466	−	0.226945i
$772$	−0.665381	+	1.73338i	−0.0239476	+	0.0623856i
$773$	2.93425	−	18.5261i	0.105538	−	0.666338i	−0.877031	−	0.480435i	$-0.840479\pi$
$773$	2.93425	−	18.5261i	0.105538	−	0.666338i	0.982568	−	0.185903i	$-0.0595210\pi$
$774$	4.63968			0.166770
$775$	25.9008	−	10.2053i	0.930385	−	0.366585i
$776$	−7.09579			−0.254724
$777$	−3.76103	+	23.7462i	−0.134926	+	0.851890i
$778$	4.96650	−	12.9382i	0.178057	−	0.463856i
$779$	−52.7945	−	17.1540i	−1.89156	−	0.614605i
$780$	4.00231	−	3.62724i	0.143306	−	0.129876i
$781$	−6.07084	−	3.50500i	−0.217232	−	0.125419i
$782$	0.0725899	+	0.00380428i	0.00259581	+	0.000136041i
$783$	−3.01139	+	5.91018i	−0.107618	+	0.211212i
$784$	−0.785257	−	0.707049i	−0.0280449	−	0.0252517i
$785$	−2.42219	−	3.70352i	−0.0864516	−	0.132184i
$786$	1.51100	+	7.10872i	0.0538957	+	0.253560i
$787$	15.5622	−	19.2177i	0.554732	−	0.685037i	−0.420228	−	0.907419i	$-0.638050\pi$
$787$	15.5622	−	19.2177i	0.554732	−	0.685037i	0.974960	+	0.222382i	$0.0713832\pi$
$788$	−9.55727	−	11.8022i	−0.340464	−	0.420438i
$789$	−1.57129	+	7.39232i	−0.0559393	+	0.263174i
$790$	−6.22014	−	16.0484i	−0.221303	−	0.570977i
$791$	−26.9426	−	19.5749i	−0.957968	−	0.696004i
$792$	1.88396	+	2.90104i	0.0669435	+	0.103084i
$793$	5.93140	−	4.80315i	0.210630	−	0.170565i
$794$	16.6608	−	1.75113i	0.591271	−	0.0621451i
$795$	−0.442266	+	0.198629i	−0.0156855	+	0.00704463i
$796$	8.08619	−	18.1619i	0.286608	−	0.643731i
$797$	−22.2207	+	1.16454i	−0.787098	+	0.0412501i	−0.441650	−	0.897188i	$-0.645607\pi$
$797$	−22.2207	+	1.16454i	−0.787098	+	0.0412501i	−0.345449	+	0.938438i	$0.612273\pi$
$798$	−15.5167	−	7.90613i	−0.549284	−	0.279874i
$799$	0.0667471	+	0.0741302i	0.00236134	+	0.00262254i
$800$	3.17171	+	3.86526i	0.112137	+	0.136658i
$801$	−1.03420	+	0.597098i	−0.0365418	+	0.0210974i
$802$	−2.81534	+	1.43449i	−0.0994130	+	0.0506534i
$803$	−40.1650	−	15.4179i	−1.41739	−	0.544086i
$804$	−4.13044	+	3.00094i	−0.145669	+	0.105835i
$805$	36.4852	−	7.87879i	1.28593	−	0.277691i
$806$	−11.2967	−	7.29870i	−0.397910	−	0.257086i
$807$	−2.91715	+	2.91715i	−0.102689	+	0.102689i
$808$	−7.03410	−	1.11409i	−0.247459	−	0.0391936i
$809$	33.4658	−	14.8999i	1.17660	−	0.523854i	0.277125	−	0.960834i	$-0.410619\pi$
$809$	33.4658	−	14.8999i	1.17660	−	0.523854i	0.899471	+	0.436980i	$0.143952\pi$
$810$	1.73318	−	1.41283i	0.0608979	−	0.0496416i
$811$	11.1748	+	19.3553i	0.392400	+	0.679656i	0.992765	−	0.120069i	$-0.0383117\pi$
$811$	11.1748	+	19.3553i	0.392400	+	0.679656i	−0.600366	+	0.799725i	$0.704978\pi$
$812$	15.6199	−	4.18534i	0.548151	−	0.146877i
$813$	0.0200316	−	0.382226i	0.000702539	−	0.0134052i
$814$	32.4435	−	10.5415i	1.13714	−	0.369481i
$815$	−9.52757	−	35.1021i	−0.333736	−	1.22957i
$816$	−0.00969814	−	0.00431789i	−0.000339503	−	0.000151156i
$817$	27.7959	+	18.0509i	0.972456	+	0.631521i
$818$	−26.7023	−	21.6231i	−0.933624	−	0.756034i
$819$	−0.615563	+	5.85669i	−0.0215095	+	0.204649i
$820$	−17.3765	+	0.0562936i	−0.606815	+	0.00196586i
$821$	−13.9699	+	19.2279i	−0.487553	+	0.671059i	−0.979934	−	0.199320i	$-0.936127\pi$
$821$	−13.9699	+	19.2279i	−0.487553	+	0.671059i	0.492381	+	0.870380i	$0.336127\pi$
$822$	−10.4467	+	1.65459i	−0.364370	+	0.0577106i
$823$	36.5733	−	23.7510i	1.27486	−	0.827906i	0.283491	−	0.958975i	$-0.408508\pi$
$823$	36.5733	−	23.7510i	1.27486	−	0.827906i	0.991373	+	0.131069i	$0.0418409\pi$
$824$	0.544550	+	0.0572345i	0.0189703	+	0.00199386i
$825$	−4.36806	+	16.7348i	−0.152076	+	0.582631i
$826$	−2.51931	+	0.535496i	−0.0876581	+	0.0186323i
$827$	−4.22999	−	11.0195i	−0.147091	−	0.383186i	0.840164	−	0.542333i	$-0.182459\pi$
$827$	−4.22999	−	11.0195i	−0.147091	−	0.383186i	−0.987255	+	0.159147i	$0.949126\pi$
$828$	0.358355	+	6.83782i	0.0124537	+	0.237631i
$829$	9.17599	+	28.2408i	0.318695	+	0.980843i	0.974207	+	0.225658i	$0.0724532\pi$
$829$	9.17599	+	28.2408i	0.318695	+	0.980843i	−0.655511	+	0.755185i	$0.727547\pi$
$830$	−22.1922	−	16.0140i	−0.770304	−	0.555855i
$831$	−6.23651	+	10.8020i	−0.216342	+	0.374716i
$832$	0.625200	−	2.33328i	0.0216749	−	0.0808919i
$833$	0.00509265	+	0.00999488i	0.000176450	+	0.000346302i
$834$	−7.23599	−	16.2523i	−0.250562	−	0.562771i
$835$	2.38983	+	42.9387i	0.0827036	+	1.48595i
$836$			24.7095i			0.854597i
$837$	−4.51205	−	3.26211i	−0.155959	−	0.112755i
$838$	17.2107	+	17.2107i	0.594535	+	0.594535i
$839$	8.35875	+	11.5048i	0.288576	+	0.397191i	0.928551	−	0.371205i	$-0.121055\pi$
$839$	8.35875	+	11.5048i	0.288576	+	0.397191i	−0.639975	+	0.768396i	$0.721055\pi$
$840$	−5.38692	−	0.835324i	−0.185866	−	0.0288214i
$841$	4.63483	−	14.2646i	0.159822	−	0.491881i
$842$	−5.09023	−	1.36392i	−0.175421	−	0.0470039i
$843$	−0.810151	−	3.02353i	−0.0279031	−	0.104136i
$844$	−19.1307	+	17.2254i	−0.658506	+	0.592921i
$845$	8.05555	+	13.8488i	0.277119	+	0.476414i
$846$	−6.28745	+	6.98292i	−0.216167	+	0.240078i
$847$	2.19707	−	0.843377i	0.0754923	−	0.0289788i
$848$	−0.118088	+	0.181840i	−0.00405516	+	0.00624440i
$849$	−0.477555	−	4.54363i	−0.0163896	−	0.155937i
$850$	−0.0167293	−	0.0503744i	−0.000573809	−	0.00172783i
$851$	66.0506	+	14.0395i	2.26419	+	0.481268i
$852$	0.317021	+	2.00159i	0.0108610	+	0.0685734i
$853$	5.55679	+	35.0842i	0.190261	+	1.20126i	0.879204	+	0.476445i	$0.158075\pi$
$853$	5.55679	+	35.0842i	0.190261	+	1.20126i	−0.688943	+	0.724815i	$0.741925\pi$
$854$	−7.53444	−	1.60149i	−0.257823	−	0.0548020i
$855$	15.8800	−	1.72109i	0.543086	−	0.0588600i
$856$	1.62083	+	15.4212i	0.0553989	+	0.527086i
$857$	−30.5045	+	46.9728i	−1.04201	+	1.60456i	−0.276637	+	0.960974i	$0.589220\pi$
$857$	−30.5045	+	46.9728i	−1.04201	+	1.60456i	−0.765375	+	0.643584i	$0.777447\pi$
$858$	7.80076	−	2.99443i	0.266314	−	0.102228i
$859$	−22.0119	+	24.4467i	−0.751037	+	0.834111i	−0.990603	−	0.136769i	$-0.956328\pi$
$859$	−22.0119	+	24.4467i	−0.751037	+	0.834111i	0.239566	+	0.970880i	$0.422995\pi$
$860$	10.0298	+	2.65267i	0.342012	+	0.0904554i
$861$	14.0789	−	12.6767i	0.479808	−	0.432021i
$862$	−4.06206	−	15.1598i	−0.138354	−	0.516345i
$863$	21.1067	+	5.65553i	0.718481	+	0.192516i	0.599494	−	0.800379i	$-0.295369\pi$
$863$	21.1067	+	5.65553i	0.718481	+	0.192516i	0.118987	+	0.992896i	$0.462035\pi$
$864$	0.309017	−	0.951057i	0.0105130	−	0.0323556i
$865$	6.20647	−	40.0249i	0.211026	−	1.36089i
$866$	6.44829	+	8.87530i	0.219122	+	0.301595i
$867$	−12.0207	−	12.0207i	−0.408246	−	0.408246i
$868$	1.45038	+	13.4959i	0.0492291	+	0.458081i
$869$		−	26.6257i		−	0.903215i
$870$	−9.88890	+	11.0545i	−0.335265	+	0.374784i
$871$	5.01620	+	11.2666i	0.169967	+	0.381753i
$872$	−0.0280830	−	0.0551159i	−0.000951009	−	0.00186646i
$873$	−1.83652	+	6.85400i	−0.0621569	+	0.231973i
$874$	−24.4560	+	42.3590i	−0.827237	+	1.43282i
$875$	−15.0664	−	22.7139i	−0.509338	−	0.767869i
$876$	3.84340	+	11.8288i	0.129857	+	0.399657i
$877$	−1.81152	−	34.5659i	−0.0611708	−	1.16721i	−0.840935	−	0.541136i	$-0.817994\pi$
$877$	−1.81152	−	34.5659i	−0.0611708	−	1.16721i	0.779764	−	0.626073i	$-0.215339\pi$
$878$	6.47811	+	16.8760i	0.218625	+	0.569539i
$879$	−16.8376	+	3.57893i	−0.567917	+	0.120714i
$880$	2.41399	+	7.34842i	0.0813757	+	0.247715i
$881$	13.7504	+	1.44523i	0.463263	+	0.0486909i	0.333286	−	0.942826i	$-0.391843\pi$
$881$	13.7504	+	1.44523i	0.463263	+	0.0486909i	0.129978	+	0.991517i	$0.458509\pi$
$882$	−0.886196	+	0.575502i	−0.0298398	+	0.0193782i
$883$	−40.2824	+	6.38010i	−1.35561	+	0.214707i	−0.791589	−	0.611054i	$-0.790746\pi$
$883$	−40.2824	+	6.38010i	−1.35561	+	0.214707i	−0.564020	+	0.825761i	$0.690746\pi$
$884$	−0.0150730	+	0.0207462i	−0.000506960	+	0.000697771i
$885$	1.66503	−	1.67585i	0.0559692	−	0.0563331i
$886$	−2.39082	+	22.7472i	−0.0803213	+	0.764206i
$887$	7.63124	+	6.17966i	0.256232	+	0.207493i	0.748826	−	0.662767i	$-0.230618\pi$
$887$	7.63124	+	6.17966i	0.256232	+	0.207493i	−0.492594	+	0.870259i	$0.663951\pi$
$888$	−8.27086	−	5.37116i	−0.277552	−	0.180244i
$889$	−38.8405	−	17.2929i	−1.30267	−	0.579985i
$890$	−2.57706	+	0.699477i	−0.0863833	+	0.0234465i
$891$	3.28979	−	1.06892i	0.110212	−	0.0358101i
$892$	0.494932	−	9.44386i	0.0165715	−	0.316204i
$893$	−64.8350	+	17.3725i	−2.16962	+	0.581348i
$894$	−4.44653	−	7.70162i	−0.148714	−	0.257581i
$895$	12.8055	+	1.30398i	0.428040	+	0.0435873i
$896$	−2.22713	+	0.991581i	−0.0744031	+	0.0331264i
$897$	16.3364	+	2.58743i	0.545456	+	0.0863918i
$898$	4.68773	−	4.68773i	0.156432	−	0.156432i
$899$	32.9456	+	16.6897i	1.09880	+	0.556634i
$900$	4.55445	−	2.06324i	0.151815	−	0.0687745i
$901$	0.00186214	−	0.00135293i	6.20370e−5	−	4.50725e-5i
$902$	−25.0954	−	9.63323i	−0.835586	−	0.320751i
$903$	−10.0782	+	5.13511i	−0.335382	+	0.170886i
$904$	11.8303	−	6.83025i	0.393471	−	0.227171i
$905$	−9.29850	+	28.9365i	−0.309092	+	0.961881i
$906$	3.38574	+	3.76024i	0.112484	+	0.124926i
$907$	31.1939	+	15.8941i	1.03578	+	0.527754i	0.887315	−	0.461164i	$-0.152568\pi$
$907$	31.1939	+	15.8941i	1.03578	+	0.527754i	0.148461	+	0.988918i	$0.452568\pi$
$908$	10.7016	−	0.560848i	0.355146	−	0.0186124i
$909$	−2.89669	+	6.50607i	−0.0960771	+	0.215793i
$910$	−4.67917	+	12.3087i	−0.155113	+	0.408029i
$911$	21.0477	−	2.21220i	0.697340	−	0.0732934i	0.250776	−	0.968045i	$-0.419314\pi$
$911$	21.0477	−	2.21220i	0.697340	−	0.0732934i	0.446564	+	0.894752i	$0.352648\pi$
$912$	5.55143	−	4.49546i	0.183826	−	0.148859i
$913$	−23.0574	−	35.5053i	−0.763090	−	1.17506i
$914$	−1.15839	−	0.841619i	−0.0383161	−	0.0278383i
$915$	6.58758	−	2.55325i	0.217779	−	0.0844078i
$916$	−1.98626	+	9.34463i	−0.0656280	+	0.308755i
$917$	−11.1500	−	13.7691i	−0.368204	−	0.454695i
$918$	−0.00668083	+	0.00825013i	−0.000220500	+	0.000272295i
$919$	3.77666	+	17.7678i	0.124580	+	0.586105i	0.995507	+	0.0946910i	$0.0301863\pi$
$919$	3.77666	+	17.7678i	0.124580	+	0.586105i	−0.870926	+	0.491414i	$0.836480\pi$
$920$	−3.13476	+	14.9865i	−0.103350	+	0.494089i
$921$	4.02691	+	3.62585i	0.132691	+	0.119476i
$922$	−8.20019	+	16.0938i	−0.270059	+	0.530020i
$923$	4.88858	+	0.256200i	0.160910	+	0.00843292i
$924$	−7.30311	−	4.21645i	−0.240255	−	0.138711i
$925$	−8.02907	−	48.6512i	−0.263994	−	1.59964i
$926$	−14.5970	−	4.74286i	−0.479688	−	0.155860i
$927$	0.196224	−	0.511182i	0.00644485	−	0.0167894i
$928$	−1.03765	+	6.55148i	−0.0340626	+	0.215063i
$929$	−25.1611			−0.825510			−0.412755	−	0.910842i	$-0.635434\pi$
$929$	−25.1611			−0.825510			−0.412755	+	0.910842i	$0.635434\pi$
$930$	−7.88881	−	9.63154i	−0.258684	−	0.315831i
$931$	−7.54815			−0.247381
$932$	4.66346	−	29.4439i	0.152757	−	0.964467i
$933$	−1.29537	+	3.37454i	−0.0424084	+	0.110478i
$934$	−22.5381	−	7.32308i	−0.737470	−	0.239618i
$935$	0.00403173	−	0.0820128i	0.000131852	−	0.00268211i
$936$	−2.09196	−	1.20779i	−0.0683779	−	0.0394780i
$937$	−50.3897	−	2.64081i	−1.64616	−	0.0862717i	−0.793444	−	0.608644i	$-0.791714\pi$
$937$	−50.3897	−	2.64081i	−1.64616	−	0.0862717i	−0.852718	+	0.522372i	$0.825047\pi$
$938$	5.65068	−	11.0901i	0.184501	−	0.362104i
$939$	−12.5042	−	11.2588i	−0.408058	−	0.367417i
$940$	−17.5842	+	11.5005i	−0.573534	+	0.375104i
$941$	−2.37804	−	11.1878i	−0.0775219	−	0.364712i	0.922238	−	0.386623i	$-0.126358\pi$
$941$	−2.37804	−	11.1878i	−0.0775219	−	0.364712i	−0.999760	+	0.0219107i	$0.993025\pi$
$942$	−1.24545	+	1.53801i	−0.0405790	+	0.0501109i
$943$	−33.4862	−	41.3520i	−1.09046	−	1.34661i
$944$	0.219655	−	1.03340i	0.00714917	−	0.0336342i
$945$	−2.20110	+	4.98717i	−0.0716017	+	0.162233i
$946$	12.9840	+	9.43341i	0.422145	+	0.306707i
$947$	10.9968	+	16.9336i	0.357348	+	0.550268i	0.970930	−	0.239363i	$-0.0769387\pi$
$947$	10.9968	+	16.9336i	0.357348	+	0.550268i	−0.613582	+	0.789631i	$0.710272\pi$
$948$	−5.98193	+	4.84407i	−0.194284	+	0.157328i
$949$	29.8793	−	3.14044i	0.969924	−	0.101943i
$950$	35.3125	+	5.35865i	1.14569	+	0.173858i
$951$	9.59526	−	21.5513i	0.311148	−	0.698849i
$952$	0.0258451	−	0.00135448i	0.000837644	−	4.38990e-5i
$953$	0.690263	+	0.351706i	0.0223598	+	0.0113929i	0.465135	−	0.885240i	$-0.346006\pi$
$953$	0.690263	+	0.351706i	0.0223598	+	0.0113929i	−0.442775	+	0.896633i	$0.646006\pi$
$954$	0.145080	+	0.161128i	0.00469714	+	0.00521671i
$955$	50.6052	+	16.2616i	1.63755	+	0.526212i
$956$	−17.7455	+	10.2454i	−0.573931	+	0.331359i
$957$	−20.4439	+	10.4167i	−0.660856	+	0.336723i
$958$	12.7126	+	4.87991i	0.410726	+	0.157663i
$959$	20.8608	−	15.1563i	0.673631	−	0.489422i
$960$	1.21177	−	1.87926i	0.0391096	−	0.0606529i
$961$	−18.1039	+	25.1644i	−0.583997	+	0.811756i
$962$	−16.8448	+	16.8448i	−0.543100	+	0.543100i
$963$	15.3152	+	2.42569i	0.493526	+	0.0781669i
$964$	15.5536	−	6.92490i	0.500947	−	0.223036i
$965$	2.62319	+	3.21800i	0.0844434	+	0.103591i
$966$	−8.34638	−	14.4564i	−0.268541	−	0.465126i
$967$	−11.5178	+	3.08619i	−0.370388	+	0.0992452i	−0.439211	−	0.898384i	$-0.644742\pi$
$967$	−11.5178	+	3.08619i	−0.370388	+	0.0992452i	0.0688235	+	0.997629i	$0.478075\pi$
$968$	−0.0505217	+	0.964011i	−0.00162383	+	0.0309845i
$969$	−0.0721218	+	0.0234338i	−0.00231689	+	0.000752802i
$970$	−7.88877	+	13.7666i	−0.253293	+	0.442018i
$971$	−14.1358	−	6.29367i	−0.453640	−	0.201974i	0.167180	−	0.985926i	$-0.446534\pi$
$971$	−14.1358	−	6.29367i	−0.453640	−	0.201974i	−0.620821	+	0.783953i	$0.713200\pi$
$972$	−0.838671	−	0.544639i	−0.0269004	−	0.0174693i
$973$	33.7056	+	27.2943i	1.08055	+	0.875014i
$974$	−1.59520	+	15.1773i	−0.0511136	+	0.486314i
$975$	−2.58764	−	11.7975i	−0.0828707	−	0.377822i
$976$	1.85716	−	2.55617i	0.0594464	−	0.0818209i
$977$	−31.7526	+	5.02912i	−1.01586	+	0.160896i	−0.642092	−	0.766628i	$-0.721933\pi$
$977$	−31.7526	+	5.02912i	−1.01586	+	0.160896i	−0.373765	+	0.927524i	$0.621933\pi$
$978$	−13.6419	+	8.85916i	−0.436220	+	0.283285i
$979$	−4.10821	−	0.431790i	−0.131299	−	0.0138001i
$980$	−2.24476	+	0.737415i	−0.0717062	+	0.0235559i
$981$	−0.0605063	+	0.0128610i	−0.00193182	+	0.000410620i
$982$	−0.176099	−	0.458753i	−0.00561954	−	0.0146394i
$983$	−1.64612	−	31.4098i	−0.0525031	−	1.00182i	−0.890168	−	0.455633i	$-0.849413\pi$
$983$	−1.64612	−	31.4098i	−0.0525031	−	1.00182i	0.837665	−	0.546185i	$-0.183920\pi$
$984$	2.40139	+	7.39072i	0.0765535	+	0.235608i
$985$	−33.5229	+	5.42089i	−1.06813	+	0.172724i
$986$	0.0352085	−	0.0609830i	0.00112127	−	0.00194209i
$987$	5.92891	−	22.1270i	0.188719	−	0.704310i
$988$	−7.83379	−	15.3747i	−0.249226	−	0.489134i
$989$	12.9215	+	29.0223i	0.410881	+	0.922854i
$990$	7.72282	−	0.429828i	0.245447	−	0.0136608i
$991$		−	2.42558i		−	0.0770510i	−0.999258	−	0.0385255i	$-0.987734\pi$
$991$		−	2.42558i		−	0.0770510i	0.999258	−	0.0385255i	$-0.0122661\pi$
$992$	−5.29927	−	1.70815i	−0.168252	−	0.0542339i
$993$	22.7543	+	22.7543i	0.722087	+	0.722087i
$994$	−2.90395	−	3.99695i	−0.0921078	−	0.126775i
$995$	−26.2461	−	35.8796i	−0.832057	−	1.13746i
$996$	−3.78201	+	11.6398i	−0.119837	+	0.368822i
$997$	−45.0163	−	12.0621i	−1.42568	−	0.382010i	−0.538185	−	0.842826i	$-0.680890\pi$
$997$	−45.0163	−	12.0621i	−1.42568	−	0.382010i	−0.887495	+	0.460816i	$0.847557\pi$
$998$	1.79562	+	6.70136i	0.0568395	+	0.212128i
$999$	−7.32879	+	6.59888i	−0.231873	+	0.208779i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bt.a.13.2	✓	256
5.2	odd	4		930.2.bt.b.757.7	yes	256
31.12	odd	30		930.2.bt.b.43.7	yes	256
155.12	even	60	inner	930.2.bt.a.787.2	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bt.a.13.2	✓	256	1.1	even	1	trivial
930.2.bt.a.787.2	yes	256	155.12	even	60	inner
930.2.bt.b.43.7	yes	256	31.12	odd	30
930.2.bt.b.757.7	yes	256	5.2	odd	4

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bt (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 + 0.987688i) q^{2} +(0.358368 - 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.65687 + 1.50160i) q^{5} +(0.866025 + 0.500000i) q^{6} +(-2.43455 - 0.127590i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +O(q^{10})\)	\(q+(-0.156434 + 0.987688i) q^{2} +(0.358368 - 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.65687 + 1.50160i) q^{5} +(0.866025 + 0.500000i) q^{6} +(-2.43455 - 0.127590i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +(-1.22392 - 1.87137i) q^{10} +(-0.719186 - 3.38350i) q^{11} +(-0.629320 + 0.777146i) q^{12} +(1.52018 + 1.87726i) q^{13} +(0.506867 - 2.38462i) q^{14} +(0.808094 + 2.08494i) q^{15} +(0.809017 + 0.587785i) q^{16} +(-0.00578185 - 0.00890327i) q^{17} +(0.777146 - 0.629320i) q^{18} +(7.10422 - 0.746684i) q^{19} +(2.03979 - 0.916104i) q^{20} +(-0.991581 + 2.22713i) q^{21} +(3.45435 - 0.181035i) q^{22} +(6.10091 + 3.10857i) q^{23} +(-0.669131 - 0.743145i) q^{24} +(0.490413 - 4.97589i) q^{25} +(-2.09196 + 1.20779i) q^{26} +(-0.891007 + 0.453990i) q^{27} +(2.27597 + 0.873663i) q^{28} +(5.36633 - 3.89887i) q^{29} +(-2.18569 + 0.471988i) q^{30} +(2.53930 + 4.95499i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-3.41651 - 0.541122i) q^{33} +(0.00969814 - 0.00431789i) q^{34} +(4.22532 - 3.44432i) q^{35} +(0.500000 + 0.866025i) q^{36} +(9.52583 - 2.55244i) q^{37} +(-0.373854 + 7.13356i) q^{38} +(2.29736 - 0.746458i) q^{39} +(0.585731 + 2.15799i) q^{40} +(-7.09922 - 3.16078i) q^{41} +(-2.04459 - 1.32777i) q^{42} +(3.60570 + 2.91984i) q^{43} +(-0.361574 + 3.44015i) q^{44} +(2.23606 - 0.00724400i) q^{45} +(-4.02469 + 5.53951i) q^{46} +(-9.28076 + 1.46993i) q^{47} +(0.838671 - 0.544639i) q^{48} +(-1.05088 - 0.110452i) q^{49} +(4.83791 + 1.26278i) q^{50} +(-0.0103840 + 0.00220718i) q^{51} +(-0.865669 - 2.25515i) q^{52} +(0.0113474 + 0.216522i) q^{53} +(-0.309017 - 0.951057i) q^{54} +(6.27226 + 4.52609i) q^{55} +(-1.21895 + 2.11128i) q^{56} +(1.84884 - 6.89995i) q^{57} +(3.01139 + 5.91018i) q^{58} +(-0.429710 - 0.965145i) q^{59} +(-0.124260 - 2.23261i) q^{60} -3.15960i q^{61} +(-5.29122 + 1.73291i) q^{62} +(1.72385 + 1.72385i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-5.33763 - 0.827681i) q^{65} +(1.06892 - 3.28979i) q^{66} +(4.93154 + 1.32140i) q^{67} +(0.00274761 + 0.0102542i) q^{68} +(5.08847 - 4.58167i) q^{69} +(2.74093 + 4.71211i) q^{70} +(1.35602 - 1.50601i) q^{71} +(-0.933580 + 0.358368i) q^{72} +(6.77396 - 10.4310i) q^{73} +(1.03085 + 9.80784i) q^{74} +(-4.46965 - 2.24104i) q^{75} +(-6.98725 - 1.48519i) q^{76} +(1.31920 + 8.32909i) q^{77} +(0.377881 + 2.38585i) q^{78} +(7.52910 + 1.60036i) q^{79} +(-2.22305 + 0.240936i) q^{80} +(0.104528 + 0.994522i) q^{81} +(4.23242 - 6.51736i) q^{82} +(11.4259 - 4.38600i) q^{83} +(1.63127 - 1.81171i) q^{84} +(0.0229489 + 0.00606952i) q^{85} +(-3.44795 + 3.10455i) q^{86} +(-1.71678 - 6.40713i) q^{87} +(-3.34123 - 0.895280i) q^{88} +(0.369027 - 1.13575i) q^{89} +(-0.342641 + 2.20966i) q^{90} +(-3.46144 - 4.76426i) q^{91} +(-4.84171 - 4.84171i) q^{92} +(5.53589 - 0.594931i) q^{93} -9.39644i q^{94} +(-10.6495 + 11.9048i) q^{95} +(0.406737 + 0.913545i) q^{96} +(-3.22142 - 6.32239i) q^{97} +(0.273486 - 1.02066i) q^{98} +(-1.72955 + 2.99566i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 8 q^{7}+O(q^{10}) \) 256 * q + 8 * q^7	\( 256 q + 8 q^{7} + 4 q^{10} - 24 q^{14} - 8 q^{15} + 64 q^{16} + 36 q^{17} - 40 q^{19} + 12 q^{20} - 16 q^{21} + 8 q^{22} - 32 q^{24} + 20 q^{25} + 4 q^{28} - 16 q^{29} - 8 q^{31} - 4 q^{33} - 24 q^{35} + 128 q^{36} + 4 q^{37} + 4 q^{38} + 48 q^{41} + 32 q^{42} - 24 q^{43} + 4 q^{44} - 12 q^{45} - 20 q^{46} - 168 q^{47} - 40 q^{49} + 48 q^{50} - 64 q^{53} + 64 q^{54} + 64 q^{55} + 28 q^{57} + 68 q^{58} - 24 q^{59} + 4 q^{62} + 4 q^{63} - 60 q^{65} + 12 q^{66} - 76 q^{67} - 4 q^{68} + 12 q^{69} - 16 q^{70} - 48 q^{71} + 52 q^{73} + 68 q^{74} + 48 q^{75} + 48 q^{76} + 84 q^{77} - 56 q^{79} - 32 q^{81} - 32 q^{82} + 136 q^{83} + 68 q^{85} + 24 q^{86} + 20 q^{87} + 56 q^{88} - 224 q^{89} + 40 q^{91} - 48 q^{93} - 4 q^{95} + 8 q^{97} + 64 q^{98} + 4 q^{99}+O(q^{100}) \) 256 * q + 8 * q^7 + 4 * q^10 - 24 * q^14 - 8 * q^15 + 64 * q^16 + 36 * q^17 - 40 * q^19 + 12 * q^20 - 16 * q^21 + 8 * q^22 - 32 * q^24 + 20 * q^25 + 4 * q^28 - 16 * q^29 - 8 * q^31 - 4 * q^33 - 24 * q^35 + 128 * q^36 + 4 * q^37 + 4 * q^38 + 48 * q^41 + 32 * q^42 - 24 * q^43 + 4 * q^44 - 12 * q^45 - 20 * q^46 - 168 * q^47 - 40 * q^49 + 48 * q^50 - 64 * q^53 + 64 * q^54 + 64 * q^55 + 28 * q^57 + 68 * q^58 - 24 * q^59 + 4 * q^62 + 4 * q^63 - 60 * q^65 + 12 * q^66 - 76 * q^67 - 4 * q^68 + 12 * q^69 - 16 * q^70 - 48 * q^71 + 52 * q^73 + 68 * q^74 + 48 * q^75 + 48 * q^76 + 84 * q^77 - 56 * q^79 - 32 * q^81 - 32 * q^82 + 136 * q^83 + 68 * q^85 + 24 * q^86 + 20 * q^87 + 56 * q^88 - 224 * q^89 + 40 * q^91 - 48 * q^93 - 4 * q^95 + 8 * q^97 + 64 * q^98 + 4 * q^99

Introduction

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