LMFDB - Embedded newform 930.2.bt.b.43.4

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			43.4
Character	$\chi$	$=$	930.43
Dual form			930.2.bt.b.757.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.987688 + 0.156434i) q^{2} +(-0.933580 + 0.358368i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-0.437784 + 2.19279i) q^{5} +(0.866025 - 0.500000i) q^{6} +(0.0914165 + 1.74433i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(0.743145 - 0.669131i) q^{9} +O(q^{10})$	\(q+(-0.987688 + 0.156434i) q^{2} +(-0.933580 + 0.358368i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-0.437784 + 2.19279i) q^{5} +(0.866025 - 0.500000i) q^{6} +(0.0914165 + 1.74433i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(0.743145 - 0.669131i) q^{9} +(0.0893656 - 2.23428i) q^{10} +(-0.980098 + 4.61100i) q^{11} +(-0.777146 + 0.629320i) q^{12} +(4.28202 + 3.46751i) q^{13} +(-0.363165 - 1.70855i) q^{14} +(-0.377120 - 2.20404i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-4.48068 - 2.90979i) q^{17} +(-0.629320 + 0.777146i) q^{18} +(6.00747 + 0.631411i) q^{19} +(0.261253 + 2.22075i) q^{20} +(-0.710457 - 1.59571i) q^{21} +(0.246712 - 4.70755i) q^{22} +(-1.30791 - 2.56691i) q^{23} +(0.669131 - 0.743145i) q^{24} +(-4.61669 - 1.91994i) q^{25} +(-4.77173 - 2.75496i) q^{26} +(-0.453990 + 0.891007i) q^{27} +(0.625970 + 1.63071i) q^{28} +(5.33298 + 3.87464i) q^{29} +(0.717265 + 2.11791i) q^{30} +(-5.54131 + 0.542073i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-0.737434 - 4.65597i) q^{33} +(4.88071 + 2.17303i) q^{34} +(-3.86498 - 0.563183i) q^{35} +(0.500000 - 0.866025i) q^{36} +(-2.06756 + 7.71624i) q^{37} +(-6.03228 + 0.316139i) q^{38} +(-5.24025 - 1.70266i) q^{39} +(-0.605439 - 2.15254i) q^{40} +(8.01827 - 3.56996i) q^{41} +(0.951335 + 1.46493i) q^{42} +(-2.59046 - 3.19895i) q^{43} +(0.492748 + 4.68819i) q^{44} +(1.14193 + 1.92250i) q^{45} +(1.69336 + 2.33070i) q^{46} +(-0.0574468 + 0.362705i) q^{47} +(-0.544639 + 0.838671i) q^{48} +(3.92732 - 0.412778i) q^{49} +(4.86020 + 1.17409i) q^{50} +(5.22586 + 1.11079i) q^{51} +(5.14396 + 1.97458i) q^{52} +(-13.2162 - 0.692629i) q^{53} +(0.309017 - 0.951057i) q^{54} +(-9.68190 - 4.16777i) q^{55} +(-0.873363 - 1.51271i) q^{56} +(-5.83473 + 1.56341i) q^{57} +(-5.87345 - 2.99267i) q^{58} +(-3.35287 + 7.53067i) q^{59} +(-1.03975 - 1.97963i) q^{60} -12.6433i q^{61} +(5.38829 - 1.40225i) q^{62} +(1.23512 + 1.23512i) q^{63} +(0.587785 - 0.809017i) q^{64} +(-9.47813 + 7.87156i) q^{65} +(1.45671 + 4.48329i) q^{66} +(1.29753 + 4.84243i) q^{67} +(-5.16056 - 1.38277i) q^{68} +(2.14093 + 1.92770i) q^{69} +(3.90550 - 0.0483670i) q^{70} +(-7.96379 - 8.84469i) q^{71} +(-0.358368 + 0.933580i) q^{72} +(1.66722 - 1.08270i) q^{73} +(0.835019 - 7.94467i) q^{74} +(4.99810 + 0.137945i) q^{75} +(5.90856 - 1.25590i) q^{76} +(-8.13270 - 1.28809i) q^{77} +(5.44209 + 0.861942i) q^{78} +(-5.23825 + 1.11343i) q^{79} +(0.934717 + 2.03133i) q^{80} +(0.104528 - 0.994522i) q^{81} +(-7.36109 + 4.78035i) q^{82} +(-5.96000 + 15.5263i) q^{83} +(-1.16879 - 1.29807i) q^{84} +(8.34214 - 8.55136i) q^{85} +(3.05900 + 2.75433i) q^{86} +(-6.36732 - 1.70612i) q^{87} +(-1.22008 - 4.55338i) q^{88} +(0.647710 + 1.99345i) q^{89} +(-1.42861 - 1.72019i) q^{90} +(-5.65704 + 7.78624i) q^{91} +(-2.03711 - 2.03711i) q^{92} +(4.97900 - 2.49190i) q^{93} -0.367226i q^{94} +(-4.01453 + 12.8967i) q^{95} +(0.406737 - 0.913545i) q^{96} +(0.595285 + 0.303313i) q^{97} +(-3.81439 + 1.02206i) q^{98} +(2.35700 + 4.08245i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 16 q^{7}+O(q^{10}) $ 256 * q + 16 * q^7	$ 256 q + 16 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} + 44 q^{22} + 32 q^{24} - 28 q^{25} - 8 q^{28} + 16 q^{29} - 8 q^{31} - 4 q^{33} - 24 q^{35} + 128 q^{36} - 76 q^{37} + 28 q^{38} + 48 q^{41} - 4 q^{42} + 120 q^{43} - 4 q^{44} + 12 q^{45} - 20 q^{46} + 72 q^{47} + 40 q^{49} + 48 q^{50} - 16 q^{53} - 64 q^{54} + 36 q^{55} - 4 q^{57} - 68 q^{58} + 24 q^{59} - 20 q^{62} + 4 q^{63} + 156 q^{65} + 12 q^{66} + 44 q^{67} + 4 q^{68} - 12 q^{69} + 104 q^{70} - 48 q^{71} - 84 q^{73} - 68 q^{74} - 48 q^{75} + 48 q^{76} - 124 q^{77} + 56 q^{79} - 32 q^{81} + 16 q^{82} - 112 q^{83} + 132 q^{85} + 24 q^{86} + 32 q^{87} + 52 q^{88} + 224 q^{89} + 40 q^{91} + 64 q^{93} - 204 q^{95} + 8 q^{97} - 32 q^{98} - 4 q^{99}+O(q^{100}) $ 256 * q + 16 * 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 + 44 * q^22 + 32 * q^24 - 28 * q^25 - 8 * q^28 + 16 * q^29 - 8 * q^31 - 4 * q^33 - 24 * q^35 + 128 * q^36 - 76 * q^37 + 28 * q^38 + 48 * q^41 - 4 * q^42 + 120 * q^43 - 4 * q^44 + 12 * q^45 - 20 * q^46 + 72 * q^47 + 40 * q^49 + 48 * q^50 - 16 * q^53 - 64 * q^54 + 36 * q^55 - 4 * q^57 - 68 * q^58 + 24 * q^59 - 20 * q^62 + 4 * q^63 + 156 * q^65 + 12 * q^66 + 44 * q^67 + 4 * q^68 - 12 * q^69 + 104 * q^70 - 48 * q^71 - 84 * q^73 - 68 * q^74 - 48 * q^75 + 48 * q^76 - 124 * q^77 + 56 * q^79 - 32 * q^81 + 16 * q^82 - 112 * q^83 + 132 * q^85 + 24 * q^86 + 32 * q^87 + 52 * q^88 + 224 * q^89 + 40 * q^91 + 64 * q^93 - 204 * q^95 + 8 * q^97 - 32 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$e\left(\frac{19}{30}\right)$

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 $

$2$	−0.987688	+	0.156434i	−0.698401	+	0.110616i
$2$	−0.987688	+	0.156434i	−0.698401	+	0.110616i
$3$	−0.933580	+	0.358368i	−0.539003	+	0.206904i
$3$	−0.933580	+	0.358368i	−0.539003	+	0.206904i
$4$	0.951057	−	0.309017i	0.475528	−	0.154508i
$5$	−0.437784	+	2.19279i	−0.195783	+	0.980647i
$5$	−0.437784	+	2.19279i	−0.195783	+	0.980647i
$6$	0.866025	−	0.500000i	0.353553	−	0.204124i
$7$	0.0914165	+	1.74433i	0.0345522	+	0.659295i	0.959928	+	0.280245i	$0.0904158\pi$
$7$	0.0914165	+	1.74433i	0.0345522	+	0.659295i	−0.925376	+	0.379050i	$0.876251\pi$
$8$	−0.891007	+	0.453990i	−0.315018	+	0.160510i
$9$	0.743145	−	0.669131i	0.247715	−	0.223044i
$10$	0.0893656	−	2.23428i	0.0282599	−	0.706542i
$11$	−0.980098	+	4.61100i	−0.295511	+	1.39027i	0.540403	+	0.841407i	$0.318272\pi$
$11$	−0.980098	+	4.61100i	−0.295511	+	1.39027i	−0.835913	+	0.548862i	$0.815061\pi$
$12$	−0.777146	+	0.629320i	−0.224343	+	0.181669i
$13$	4.28202	+	3.46751i	1.18762	+	0.961714i	0.999790	−	0.0204885i	$-0.00652214\pi$
$13$	4.28202	+	3.46751i	1.18762	+	0.961714i	0.187827	+	0.982202i	$0.439855\pi$
$14$	−0.363165	−	1.70855i	−0.0970598	−	0.456631i
$15$	−0.377120	−	2.20404i	−0.0973721	−	0.569080i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	−4.48068	−	2.90979i	−1.08673	−	0.705728i	−0.128491	−	0.991711i	$-0.541013\pi$
$17$	−4.48068	−	2.90979i	−1.08673	−	0.705728i	−0.958235	+	0.285983i	$0.907680\pi$
$18$	−0.629320	+	0.777146i	−0.148332	+	0.183175i
$19$	6.00747	+	0.631411i	1.37821	+	0.144856i	0.764473	−	0.644656i	$-0.222999\pi$
$19$	6.00747	+	0.631411i	1.37821	+	0.144856i	0.613736	+	0.789512i	$0.289666\pi$
$20$	0.261253	+	2.22075i	0.0584180	+	0.496576i
$21$	−0.710457	−	1.59571i	−0.155034	−	0.348213i
$22$	0.246712	−	4.70755i	0.0525992	−	1.00365i
$23$	−1.30791	−	2.56691i	−0.272717	−	0.535238i	0.713508	−	0.700647i	$-0.247105\pi$
$23$	−1.30791	−	2.56691i	−0.272717	−	0.535238i	−0.986225	+	0.165410i	$0.947105\pi$
$24$	0.669131	−	0.743145i	0.136586	−	0.151694i
$25$	−4.61669	−	1.91994i	−0.923338	−	0.383988i
$26$	−4.77173	−	2.75496i	−0.935814	−	0.540293i
$27$	−0.453990	+	0.891007i	−0.0873705	+	0.171474i
$28$	0.625970	+	1.63071i	0.118297	+	0.308175i
$29$	5.33298	+	3.87464i	0.990310	+	0.719503i	0.959989	−	0.280038i	$-0.0903470\pi$
$29$	5.33298	+	3.87464i	0.990310	+	0.719503i	0.0303213	+	0.999540i	$0.490347\pi$
$30$	0.717265	+	2.11791i	0.130954	+	0.386675i
$31$	−5.54131	+	0.542073i	−0.995249	+	0.0973593i
$31$	−5.54131	+	0.542073i	−0.995249	+	0.0973593i
$32$	−0.707107	+	0.707107i	−0.125000	+	0.125000i
$33$	−0.737434	−	4.65597i	−0.128371	−	0.810501i
$34$	4.88071	+	2.17303i	0.837035	+	0.372672i
$35$	−3.86498	−	0.563183i	−0.653301	−	0.0951953i
$36$	0.500000	−	0.866025i	0.0833333	−	0.144338i
$37$	−2.06756	+	7.71624i	−0.339905	+	1.26854i	0.558549	+	0.829472i	$0.311358\pi$
$37$	−2.06756	+	7.71624i	−0.339905	+	1.26854i	−0.898453	+	0.439069i	$0.855308\pi$
$38$	−6.03228	+	0.316139i	−0.978565	+	0.0512844i
$39$	−5.24025	−	1.70266i	−0.839111	−	0.272644i
$40$	−0.605439	−	2.15254i	−0.0957283	−	0.340347i
$41$	8.01827	−	3.56996i	1.25224	−	0.557535i	0.329940	−	0.944002i	$-0.392971\pi$
$41$	8.01827	−	3.56996i	1.25224	−	0.557535i	0.922303	+	0.386467i	$0.126305\pi$
$42$	0.951335	+	1.46493i	0.146794	+	0.226043i
$43$	−2.59046	−	3.19895i	−0.395042	−	0.487836i	0.540354	−	0.841438i	$-0.318290\pi$
$43$	−2.59046	−	3.19895i	−0.395042	−	0.487836i	−0.935396	+	0.353602i	$0.884957\pi$
$44$	0.492748	+	4.68819i	0.0742846	+	0.706771i
$45$	1.14193	+	1.92250i	0.170229	+	0.286589i
$46$	1.69336	+	2.33070i	0.249672	+	0.343644i
$47$	−0.0574468	+	0.362705i	−0.00837948	+	0.0529059i	−0.991524	−	0.129925i	$-0.958526\pi$
$47$	−0.0574468	+	0.362705i	−0.00837948	+	0.0529059i	0.983144	+	0.182831i	$0.0585262\pi$
$48$	−0.544639	+	0.838671i	−0.0786119	+	0.121052i
$49$	3.92732	−	0.412778i	0.561046	−	0.0589683i
$50$	4.86020	+	1.17409i	0.687336	+	0.166042i
$51$	5.22586	+	1.11079i	0.731766	+	0.155542i
$52$	5.14396	+	1.97458i	0.713339	+	0.273825i
$53$	−13.2162	−	0.692629i	−1.81538	−	0.0951400i	−0.885869	−	0.463936i	$-0.846437\pi$
$53$	−13.2162	−	0.692629i	−1.81538	−	0.0951400i	−0.929510	+	0.368796i	$0.879770\pi$
$54$	0.309017	−	0.951057i	0.0420519	−	0.129422i
$55$	−9.68190	−	4.16777i	−1.30551	−	0.561982i
$56$	−0.873363	−	1.51271i	−0.116708	−	0.202144i
$57$	−5.83473	+	1.56341i	−0.772829	+	0.207079i
$58$	−5.87345	−	2.99267i	−0.771222	−	0.392957i
$59$	−3.35287	+	7.53067i	−0.436506	+	0.980409i	0.552633	+	0.833425i	$0.313623\pi$
$59$	−3.35287	+	7.53067i	−0.436506	+	0.980409i	−0.989139	+	0.146984i	$0.953043\pi$
$60$	−1.03975	−	1.97963i	−0.134231	−	0.255569i
$61$		−	12.6433i		−	1.61881i	−0.587254	−	0.809403i	$-0.699791\pi$
$61$		−	12.6433i		−	1.61881i	0.587254	−	0.809403i	$-0.300209\pi$
$62$	5.38829	−	1.40225i	0.684314	−	0.178086i
$63$	1.23512	+	1.23512i	0.155611	+	0.155611i
$64$	0.587785	−	0.809017i	0.0734732	−	0.101127i
$65$	−9.47813	+	7.87156i	−1.17562	+	0.976347i
$66$	1.45671	+	4.48329i	0.179309	+	0.551855i
$67$	1.29753	+	4.84243i	0.158518	+	0.591597i	0.998778	+	0.0494143i	$0.0157355\pi$
$67$	1.29753	+	4.84243i	0.158518	+	0.591597i	−0.840260	+	0.542183i	$0.817598\pi$
$68$	−5.16056	−	1.38277i	−0.625810	−	0.167685i
$69$	2.14093	+	1.92770i	0.257738	+	0.232068i
$70$	3.90550	−	0.0483670i	0.466796	−	0.00578096i
$71$	−7.96379	−	8.84469i	−0.945128	−	1.04967i	−0.998693	−	0.0511067i	$-0.983725\pi$
$71$	−7.96379	−	8.84469i	−0.945128	−	1.04967i	0.0535652	−	0.998564i	$-0.482942\pi$
$72$	−0.358368	+	0.933580i	−0.0422341	+	0.110024i
$73$	1.66722	−	1.08270i	0.195133	−	0.126721i	−0.443374	−	0.896336i	$-0.646219\pi$
$73$	1.66722	−	1.08270i	0.195133	−	0.126721i	0.638508	+	0.769616i	$0.279552\pi$
$74$	0.835019	−	7.94467i	0.0970690	−	0.923549i
$75$	4.99810	+	0.137945i	0.577131	+	0.0159285i
$76$	5.90856	−	1.25590i	0.677758	−	0.144062i
$77$	−8.13270	−	1.28809i	−0.926808	−	0.146792i
$78$	5.44209	+	0.861942i	0.616195	+	0.0975957i
$79$	−5.23825	+	1.11343i	−0.589350	+	0.125270i	−0.492928	−	0.870070i	$-0.664073\pi$
$79$	−5.23825	+	1.11343i	−0.589350	+	0.125270i	−0.0964222	+	0.995341i	$0.530740\pi$
$80$	0.934717	+	2.03133i	0.104505	+	0.227110i
$81$	0.104528	−	0.994522i	0.0116143	−	0.110502i
$82$	−7.36109	+	4.78035i	−0.812896	+	0.527901i
$83$	−5.96000	+	15.5263i	−0.654195	+	1.70424i	0.0543030	+	0.998525i	$0.482706\pi$
$83$	−5.96000	+	15.5263i	−0.654195	+	1.70424i	−0.708498	+	0.705713i	$0.750627\pi$
$84$	−1.16879	−	1.29807i	−0.127525	−	0.141631i
$85$	8.34214	−	8.55136i	0.904833	−	0.927525i
$86$	3.05900	+	2.75433i	0.329860	+	0.297007i
$87$	−6.36732	−	1.70612i	−0.682648	−	0.182915i
$88$	−1.22008	−	4.55338i	−0.130060	−	0.485392i
$89$	0.647710	+	1.99345i	0.0686571	+	0.211305i	0.979498	−	0.201452i	$-0.0645660\pi$
$89$	0.647710	+	1.99345i	0.0686571	+	0.211305i	−0.910841	+	0.412757i	$0.864566\pi$
$90$	−1.42861	−	1.72019i	−0.150589	−	0.181324i
$91$	−5.65704	+	7.78624i	−0.593018	+	0.816220i
$92$	−2.03711	−	2.03711i	−0.212383	−	0.212383i
$93$	4.97900	−	2.49190i	0.516298	−	0.258398i
$94$		−	0.367226i		−	0.0378765i
$95$	−4.01453	+	12.8967i	−0.411882	+	1.32318i
$96$	0.406737	−	0.913545i	0.0415124	−	0.0932383i
$97$	0.595285	+	0.303313i	0.0604420	+	0.0307967i	0.483950	−	0.875095i	$-0.339202\pi$
$97$	0.595285	+	0.303313i	0.0604420	+	0.0307967i	−0.423508	+	0.905892i	$0.639202\pi$
$98$	−3.81439	+	1.02206i	−0.385312	+	0.103244i
$99$	2.35700	+	4.08245i	0.236888	+	0.410302i
$100$	−4.98403	−	0.399336i	−0.498403	−	0.0399336i
$101$	−3.53810	+	10.8891i	−0.352054	+	1.08351i	0.605644	+	0.795736i	$0.292915\pi$
$101$	−3.53810	+	10.8891i	−0.352054	+	1.08351i	−0.957698	+	0.287775i	$0.907085\pi$
$102$	−5.33528	−	0.279610i	−0.528272	−	0.0276855i
$103$	−3.39137	−	1.30182i	−0.334161	−	0.128272i	0.185502	−	0.982644i	$-0.440609\pi$
$103$	−3.39137	−	1.30182i	−0.334161	−	0.128272i	−0.519663	+	0.854372i	$0.673942\pi$
$104$	−5.38952	−	1.14558i	−0.528486	−	0.112333i
$105$	3.81010	−	0.859308i	0.371827	−	0.0838599i
$106$	13.1618	−	1.38336i	1.27839	−	0.134364i
$107$	−6.83732	+	10.5286i	−0.660989	+	1.01783i	0.336118	+	0.941820i	$0.390886\pi$
$107$	−6.83732	+	10.5286i	−0.660989	+	1.01783i	−0.997107	+	0.0760138i	$0.975781\pi$
$108$	−0.156434	+	0.987688i	−0.0150529	+	0.0950404i
$109$	−5.08156	−	6.99417i	−0.486725	−	0.669920i	0.493055	−	0.869998i	$-0.335880\pi$
$109$	−5.08156	−	6.99417i	−0.486725	−	0.669920i	−0.979780	+	0.200079i	$0.935880\pi$
$110$	10.2147	+	2.60188i	0.973931	+	0.248079i
$111$	−0.835019	−	7.94467i	−0.0792565	−	0.754075i
$112$	1.09925	+	1.35746i	0.103869	+	0.128268i
$113$	−4.23795	−	6.52586i	−0.398672	−	0.613902i	0.581144	−	0.813801i	$-0.302605\pi$
$113$	−4.23795	−	6.52586i	−0.398672	−	0.613902i	−0.979816	+	0.199899i	$0.935939\pi$
$114$	5.51833	−	2.45692i	0.516839	−	0.230111i
$115$	6.20128	−	1.74422i	0.578273	−	0.162649i
$116$	6.26930	+	2.03702i	0.582090	+	0.189132i
$117$	5.50237	−	0.288367i	0.508695	−	0.0266596i
$118$	2.13353	−	7.96245i	0.196408	−	0.733003i
$119$	4.66603	−	8.08180i	0.427734	−	0.740858i
$120$	1.33663	+	1.79260i	0.122017	+	0.163641i
$121$	−10.2517	−	4.56435i	−0.931973	−	0.414941i
$122$	1.97784	+	12.4876i	0.179066	+	1.13058i
$123$	−6.20634	+	6.20634i	−0.559607	+	0.559607i
$124$	−5.10259	+	2.22790i	−0.458226	+	0.200072i
$125$	6.23115	−	9.28293i	0.557331	−	0.830291i
$126$	−1.41313	−	1.02670i	−0.125892	−	0.0914656i
$127$	1.83339	+	4.77614i	0.162687	+	0.423814i	0.990556	−	0.137107i	$-0.0437805\pi$
$127$	1.83339	+	4.77614i	0.162687	+	0.423814i	−0.827869	+	0.560921i	$0.810447\pi$
$128$	−0.453990	+	0.891007i	−0.0401275	+	0.0787546i
$129$	3.56481	+	2.05814i	0.313864	+	0.181209i
$130$	8.13005	−	9.25735i	0.713053	−	0.811923i
$131$	−3.73054	+	4.14319i	−0.325939	+	0.361992i	−0.883736	−	0.467985i	$-0.844980\pi$
$131$	−3.73054	+	4.14319i	−0.325939	+	0.361992i	0.557797	+	0.829977i	$0.311647\pi$
$132$	−2.14012	−	4.20021i	−0.186273	−	0.365582i
$133$	−0.552207	+	10.5367i	−0.0478824	+	0.913651i
$134$	−2.03908	−	4.57984i	−0.176149	−	0.395638i
$135$	−1.75504	−	1.38558i	−0.151050	−	0.119251i
$136$	5.31334	+	0.558454i	0.455615	+	0.0478871i
$137$	11.5153	−	14.2202i	0.983818	−	1.21491i	0.00719060	−	0.999974i	$-0.497711\pi$
$137$	11.5153	−	14.2202i	0.983818	−	1.21491i	0.976627	−	0.214940i	$-0.0689555\pi$
$138$	−2.41613	−	1.56906i	−0.205675	−	0.133567i
$139$	6.38762	−	4.64088i	0.541791	−	0.393634i	−0.282959	−	0.959132i	$-0.591316\pi$
$139$	6.38762	−	4.64088i	0.541791	−	0.393634i	0.824750	+	0.565498i	$0.191316\pi$
$140$	−3.84985	+	0.658726i	−0.325371	+	0.0556725i
$141$	−0.0763506	−	0.359201i	−0.00642988	−	0.0302502i
$142$	9.24936	+	7.48998i	0.776189	+	0.628545i
$143$	−20.1855	+	16.3459i	−1.68799	+	1.36691i
$144$	0.207912	−	0.978148i	0.0173260	−	0.0815123i
$145$	−10.8310	+	9.99788i	−0.899464	+	0.830279i
$146$	−1.47732	+	1.33018i	−0.122264	+	0.110087i
$147$	−3.51854	+	1.79279i	−0.290204	+	0.147867i
$148$	0.418082	+	7.97749i	0.0343662	+	0.655745i
$149$	13.5473	−	7.82152i	1.10984	−	0.640764i	0.171049	−	0.985263i	$-0.445284\pi$
$149$	13.5473	−	7.82152i	1.10984	−	0.640764i	0.938787	+	0.344499i	$0.111951\pi$
$150$	−4.95814	+	0.645628i	−0.404831	+	0.0527153i
$151$	3.26173	−	1.05980i	0.265436	−	0.0862454i	−0.173275	−	0.984873i	$-0.555435\pi$
$151$	3.26173	−	1.05980i	0.265436	−	0.0862454i	0.438711	+	0.898628i	$0.355435\pi$
$152$	−5.63935	+	2.16474i	−0.457412	+	0.175584i
$153$	−5.27683	+	0.835767i	−0.426606	+	0.0675678i
$154$	8.23408			0.663521
$155$	1.23724	−	12.3883i	0.0993778	−	0.995050i
$156$	−5.50992			−0.441147
$157$	−8.17946	+	1.29550i	−0.652792	+	0.103392i	−0.474042	−	0.880502i	$-0.657205\pi$
$157$	−8.17946	+	1.29550i	−0.652792	+	0.103392i	−0.178750	+	0.983895i	$0.557205\pi$
$158$	4.99959	−	1.91916i	0.397746	−	0.152680i
$159$	12.5866	−	4.08962i	0.998179	−	0.324328i
$160$	−1.24098	−	1.86010i	−0.0981080	−	0.147054i
$161$	4.35798	−	2.51608i	0.343457	−	0.198295i
$162$	0.0523360	+	0.998630i	0.00411190	+	0.0784597i
$163$	5.70653	−	2.90762i	0.446970	−	0.227743i	−0.215993	−	0.976395i	$-0.569299\pi$
$163$	5.70653	−	2.90762i	0.446970	−	0.227743i	0.662963	+	0.748652i	$0.269299\pi$
$164$	6.52265	−	5.87302i	0.509333	−	0.458606i
$165$	10.5324	+	0.421271i	0.819948	+	0.0327959i
$166$	3.45777	−	16.2675i	0.268375	−	1.26261i
$167$	17.7043	−	14.3366i	1.37000	−	1.10940i	0.387761	−	0.921760i	$-0.373249\pi$
$167$	17.7043	−	14.3366i	1.37000	−	1.10940i	0.982237	−	0.187642i	$-0.0600846\pi$
$168$	1.35746	+	1.09925i	0.104730	+	0.0848090i
$169$	3.60919	+	16.9799i	0.277630	+	1.30615i
$170$	−6.90171	+	9.75108i	−0.529337	+	0.747873i
$171$	4.88692	−	3.55055i	0.373712	−	0.271518i
$172$	−3.45221	−	2.24189i	−0.263228	−	0.170942i
$173$	13.4153	−	16.5665i	1.01994	−	1.25953i	0.0546109	−	0.998508i	$-0.482608\pi$
$173$	13.4153	−	16.5665i	1.01994	−	1.25953i	0.965334	−	0.261019i	$-0.0840585\pi$
$174$	6.55582	+	0.689044i	0.496995	+	0.0522363i
$175$	2.92697	−	8.22855i	0.221258	−	0.622020i
$176$	1.91736	+	4.30646i	0.144526	+	0.324612i
$177$	0.431423	−	8.23204i	0.0324277	−	0.618758i
$178$	−0.951579	−	1.86758i	−0.0713239	−	0.139981i
$179$	4.50390	−	5.00209i	0.336638	−	0.373874i	−0.550930	−	0.834551i	$-0.685727\pi$
$179$	4.50390	−	5.00209i	0.336638	−	0.373874i	0.887568	+	0.460678i	$0.152394\pi$
$180$	1.68012	+	1.47553i	0.125229	+	0.109979i
$181$	−7.79494	−	4.50041i	−0.579394	−	0.334513i	0.181499	−	0.983391i	$-0.441905\pi$
$181$	−7.79494	−	4.50041i	−0.579394	−	0.334513i	−0.760892	+	0.648878i	$0.775238\pi$
$182$	4.36935	−	8.57533i	0.323878	−	0.635646i
$183$	4.53095	+	11.8035i	0.334937	+	0.872541i
$184$	2.33070	+	1.69336i	0.171822	+	0.124836i
$185$	−16.0150	−	7.91178i	−1.17744	−	0.581685i
$186$	−4.52788	+	3.24011i	−0.332000	+	0.237576i
$187$	17.8085	−	17.8085i	1.30229	−	1.30229i
$188$	0.0574468	+	0.362705i	0.00418974	+	0.0264530i
$189$	−1.59571	−	0.710457i	−0.116071	−	0.0516781i
$190$	1.94761	−	13.3660i	0.141295	−	0.969668i
$191$	0.544986	−	0.943943i	0.0394338	−	0.0683013i	−0.845635	−	0.533762i	$-0.820778\pi$
$191$	0.544986	−	0.943943i	0.0394338	−	0.0683013i	0.885069	+	0.465460i	$0.154111\pi$
$192$	−0.258819	+	0.965926i	−0.0186787	+	0.0697097i
$193$	0.914615	−	0.0479330i	0.0658355	−	0.00345029i	−0.0193898	−	0.999812i	$-0.506172\pi$
$193$	0.914615	−	0.0479330i	0.0658355	−	0.00345029i	0.0852252	+	0.996362i	$0.472839\pi$
$194$	−0.635404	−	0.206455i	−0.0456194	−	0.0148226i
$195$	6.02768	−	10.7454i	0.431651	−	0.769493i
$196$	3.60755	−	1.60618i	0.257682	−	0.114727i
$197$	12.3419	+	19.0049i	0.879327	+	1.35404i	0.934647	+	0.355576i	$0.115715\pi$
$197$	12.3419	+	19.0049i	0.879327	+	1.35404i	−0.0553204	+	0.998469i	$0.517618\pi$
$198$	−2.96662	−	3.66347i	−0.210829	−	0.260352i
$199$	2.18589	+	20.7973i	0.154954	+	1.47428i	0.745081	+	0.666974i	$0.232411\pi$
$199$	2.18589	+	20.7973i	0.154954	+	1.47428i	−0.590127	+	0.807310i	$0.700922\pi$
$200$	4.98514	−	0.385254i	0.352502	−	0.0272416i
$201$	−2.94672	−	4.05581i	−0.207845	−	0.286075i
$202$	1.79110	−	11.3086i	0.126021	−	0.795668i
$203$	−6.27113	+	9.65670i	−0.440147	+	0.677767i
$204$	5.31334	−	0.558454i	0.372008	−	0.0390996i
$205$	4.31793	+	19.1453i	0.301577	+	1.33717i
$206$	3.55326	+	0.755269i	0.247568	+	0.0526221i
$207$	−2.68956	−	1.03243i	−0.186937	−	0.0717585i
$208$	5.50237	+	0.288367i	0.381521	+	0.0199947i
$209$	−8.79934	+	27.0816i	−0.608663	+	1.87327i
$210$	−3.62876	+	1.44476i	−0.250408	+	0.0996979i
$211$	2.54351	+	4.40549i	0.175102	+	0.303286i	0.940197	−	0.340632i	$-0.110641\pi$
$211$	2.54351	+	4.40549i	0.175102	+	0.303286i	−0.765094	+	0.643918i	$0.777308\pi$
$212$	−12.7833	+	3.42529i	−0.877964	+	0.235250i
$213$	10.6045	+	5.40326i	0.726608	+	0.370225i
$214$	5.10612	−	11.4685i	0.349047	−	0.783972i
$215$	8.14871	−	4.27990i	0.555737	−	0.291887i
$216$		−	1.00000i		−	0.0680414i
$217$	−1.45212	−	9.61633i	−0.0985765	−	0.652799i
$218$	6.11313	+	6.11313i	0.414033	+	0.414033i
$219$	−1.16848	+	1.60827i	−0.0789583	+	0.108677i
$220$	−10.4959	−	0.971918i	−0.707636	−	0.0655267i
$221$	−9.09664	−	27.9966i	−0.611906	−	1.88325i
$222$	2.06756	+	7.71624i	0.138765	+	0.517880i
$223$	−13.3374	−	3.57374i	−0.893137	−	0.239315i	−0.217071	−	0.976156i	$-0.569650\pi$
$223$	−13.3374	−	3.57374i	−0.893137	−	0.239315i	−0.676067	+	0.736841i	$0.736317\pi$
$224$	−1.29807	−	1.16879i	−0.0867309	−	0.0780929i
$225$	−4.71556	+	1.66238i	−0.314371	+	0.110825i
$226$	5.20664	+	5.78256i	0.346340	+	0.384650i
$227$	2.10162	−	5.47491i	0.139489	−	0.363382i	−0.845985	−	0.533207i	$-0.820987\pi$
$227$	2.10162	−	5.47491i	0.139489	−	0.363382i	0.985474	+	0.169825i	$0.0543201\pi$
$228$	−5.06604	+	3.28993i	−0.335507	+	0.217881i
$229$	−1.00934	+	9.60326i	−0.0666993	+	0.634601i	0.909197	+	0.416366i	$0.136697\pi$
$229$	−1.00934	+	9.60326i	−0.0666993	+	0.634601i	−0.975896	+	0.218235i	$0.929970\pi$
$230$	−5.85208	+	2.69284i	−0.385875	+	0.177560i
$231$	8.05415	−	1.71196i	0.529924	−	0.112639i
$232$	−6.51077	−	1.03121i	−0.427453	−	0.0677019i
$233$	28.1985	+	4.46620i	1.84734	+	0.292590i	0.979074	−	0.203503i	$-0.0652328\pi$
$233$	28.1985	+	4.46620i	1.84734	+	0.292590i	0.868269	+	0.496094i	$0.165233\pi$
$234$	−5.38952	+	1.14558i	−0.352324	+	0.0748888i
$235$	−0.770188	−	0.284755i	−0.0502415	−	0.0185754i
$236$	−0.861664	+	8.19818i	−0.0560895	+	0.533656i
$237$	4.49132	−	2.91669i	0.291742	−	0.189460i
$238$	−3.34431	+	8.71223i	−0.216780	+	0.564730i
$239$	7.63430	+	8.47875i	0.493822	+	0.548445i	0.937611	−	0.347687i	$-0.113033\pi$
$239$	7.63430	+	8.47875i	0.493822	+	0.548445i	−0.443789	+	0.896131i	$0.646366\pi$
$240$	−1.60060	−	1.56144i	−0.103318	−	0.100790i
$241$	21.0969	+	18.9958i	1.35897	+	1.22362i	0.950451	+	0.310876i	$0.100622\pi$
$241$	21.0969	+	18.9958i	1.35897	+	1.22362i	0.408522	+	0.912749i	$0.366044\pi$
$242$	10.8395	+	2.90444i	0.696790	+	0.186704i
$243$	0.258819	+	0.965926i	0.0166032	+	0.0619642i
$244$	−3.90699	−	12.0245i	−0.250119	−	0.769788i
$245$	−0.814181	+	8.79251i	−0.0520161	+	0.561733i
$246$	5.15904	−	7.10082i	0.328929	−	0.452731i
$247$	23.5347	+	23.5347i	1.49747	+	1.49747i
$248$	4.69125	−	2.99869i	0.297895	−	0.190417i
$249$		−	16.6310i		−	1.05394i
$250$	−4.70226	+	10.1434i	−0.297397	+	0.641526i
$251$	−9.13175	+	20.5102i	−0.576391	+	1.29459i	0.356453	+	0.934313i	$0.383986\pi$
$251$	−9.13175	+	20.5102i	−0.576391	+	1.29459i	−0.932844	+	0.360281i	$0.882681\pi$
$252$	1.55634	+	0.792997i	0.0980404	+	0.0499541i
$253$	13.1179	−	3.51493i	0.824715	−	0.220982i
$254$	−2.55797	−	4.43053i	−0.160501	−	0.277996i
$255$	−4.72353	+	10.9729i	−0.295799	+	0.687152i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	9.01691	+	0.472556i	0.562459	+	0.0294772i	0.331447	−	0.943474i	$-0.392463\pi$
$257$	9.01691	+	0.472556i	0.562459	+	0.0294772i	0.231012	+	0.972951i	$0.425796\pi$
$258$	−3.84288	−	1.47514i	−0.239247	−	0.0918385i
$259$	−13.6487	−	2.90112i	−0.848088	−	0.180267i
$260$	−6.58179	+	10.4152i	−0.408185	+	0.645923i
$261$	6.55582	−	0.689044i	0.405795	−	0.0426508i
$262$	3.03648	−	4.67577i	0.187594	−	0.288870i
$263$	−3.23468	+	20.4229i	−0.199459	+	1.25933i	0.661223	+	0.750189i	$0.270038\pi$
$263$	−3.23468	+	20.4229i	−0.199459	+	1.25933i	−0.860682	+	0.509143i	$0.829962\pi$
$264$	2.77083	+	3.81371i	0.170533	+	0.234718i
$265$	7.30462	−	28.6771i	0.448719	−	1.76162i
$266$	−1.10290	−	10.4934i	−0.0676232	−	0.643392i
$267$	−1.31908	−	1.62892i	−0.0807262	−	0.0996885i
$268$	2.73042	+	4.20447i	0.166787	+	0.256829i
$269$	16.0417	−	7.14223i	0.978080	−	0.435469i	0.145490	−	0.989360i	$-0.453524\pi$
$269$	16.0417	−	7.14223i	0.978080	−	0.435469i	0.832590	+	0.553891i	$0.186857\pi$
$270$	1.95019	+	1.09397i	0.118685	+	0.0665768i
$271$	−19.6089	−	6.37132i	−1.19116	−	0.387030i	−0.354656	−	0.934997i	$-0.615402\pi$
$271$	−19.6089	−	6.37132i	−1.19116	−	0.387030i	−0.836500	+	0.547966i	$0.815402\pi$
$272$	−5.33528	+	0.279610i	−0.323499	+	0.0169539i
$273$	2.49096	−	9.29638i	0.150760	−	0.562643i
$274$	−9.14899	+	15.8465i	−0.552711	+	0.957323i
$275$	13.3776	−	19.4058i	0.806703	−	1.17021i
$276$	2.63184	+	1.17177i	0.158418	+	0.0705324i
$277$	−3.91669	−	24.7290i	−0.235331	−	1.48582i	−0.768519	−	0.639826i	$-0.779006\pi$
$277$	−3.91669	−	24.7290i	−0.235331	−	1.48582i	0.533188	−	0.845997i	$-0.320994\pi$
$278$	−5.58298	+	5.58298i	−0.334845	+	0.334845i
$279$	−3.75528	+	4.11070i	−0.224823	+	0.246101i
$280$	3.69940	−	1.25286i	0.221082	−	0.0748730i
$281$	5.61289	+	4.07800i	0.334837	+	0.243273i	0.742480	−	0.669868i	$-0.233649\pi$
$281$	5.61289	+	4.07800i	0.334837	+	0.243273i	−0.407643	+	0.913141i	$0.633649\pi$
$282$	0.131602	+	0.342835i	0.00783679	+	0.0204155i
$283$	11.1738	−	21.9298i	0.664213	−	1.30359i	−0.275393	−	0.961332i	$-0.588808\pi$
$283$	11.1738	−	21.9298i	0.664213	−	1.30359i	0.939606	−	0.342259i	$-0.111192\pi$
$284$	−10.3072	−	5.95085i	−0.611618	−	0.353118i
$285$	−0.873888	−	13.4788i	−0.0517646	−	0.798416i
$286$	17.3799	−	19.3023i	1.02769	−	1.14137i
$287$	6.96020	+	13.6602i	0.410848	+	0.806334i
$288$	−0.0523360	+	0.998630i	−0.00308393	+	0.0588448i
$289$	4.69513	+	10.5454i	0.276184	+	0.620320i
$290$	9.13362	−	11.5691i	0.536345	−	0.679363i
$291$	−0.664444	−	0.0698359i	−0.0389504	−	0.00409385i
$292$	1.25104	−	1.54491i	0.0732118	−	0.0904091i
$293$	−8.81231	−	5.72278i	−0.514821	−	0.334328i	0.260941	−	0.965355i	$-0.415967\pi$
$293$	−8.81231	−	5.72278i	−0.514821	−	0.334328i	−0.775761	+	0.631026i	$0.782634\pi$
$294$	3.19477	−	2.32114i	0.186323	−	0.135371i
$295$	−15.0454	−	10.6490i	−0.875975	−	0.620006i
$296$	−1.66089	−	7.81387i	−0.0965372	−	0.454172i
$297$	−3.66347	−	2.96662i	−0.212576	−	0.172141i
$298$	−12.1569	+	9.84449i	−0.704232	+	0.570276i
$299$	3.30031	−	15.5267i	0.190862	−	0.897933i
$300$	4.79610	−	1.41330i	0.276903	−	0.0815971i
$301$	5.34322	−	4.81106i	0.307978	−	0.277305i
$302$	−3.05579	+	1.55700i	−0.175841	+	0.0895953i
$303$	−0.599222	−	11.4338i	−0.0344244	−	0.656856i
$304$	5.23128	−	3.02028i	0.300034	−	0.173225i
$305$	27.7241	+	5.53503i	1.58748	+	0.316935i
$306$	5.08112	−	1.65096i	0.290468	−	0.0943788i
$307$	−2.26095	+	0.867897i	−0.129039	+	0.0495335i	−0.422031	−	0.906582i	$-0.638683\pi$
$307$	−2.26095	+	0.867897i	−0.129039	+	0.0495335i	0.292992	+	0.956115i	$0.405349\pi$
$308$	−8.13270	+	1.28809i	−0.463404	+	0.0733960i
$309$	3.63264			0.206654
$310$	0.715942	+	12.4293i	0.0406628	+	0.705937i
$311$	−15.2853			−0.866749			−0.433375	−	0.901214i	$-0.642677\pi$
$311$	−15.2853			−0.866749			−0.433375	+	0.901214i	$0.642677\pi$
$312$	5.44209	−	0.861942i	0.308098	−	0.0487979i
$313$	−15.8364	+	6.07902i	−0.895126	+	0.343607i	−0.762065	−	0.647501i	$-0.775814\pi$
$313$	−15.8364	+	6.07902i	−0.895126	+	0.343607i	−0.133062	+	0.991108i	$0.542481\pi$
$314$	7.87609	−	2.55910i	0.444474	−	0.144418i
$315$	−3.24908	+	2.16765i	−0.183065	+	0.122133i
$316$	−4.63781	+	2.67764i	−0.260897	+	0.150629i
$317$	−0.548341	−	10.4630i	−0.0307979	−	0.587659i	−0.969823	−	0.243810i	$-0.921603\pi$
$317$	−0.548341	−	10.4630i	−0.0307979	−	0.587659i	0.939025	−	0.343849i	$-0.111731\pi$
$318$	−11.7918	+	6.00824i	−0.661254	+	0.336926i
$319$	−23.0928	+	20.7929i	−1.29295	+	1.16418i
$320$	1.51668	+	1.64307i	0.0847852	+	0.0918502i
$321$	2.61009	−	12.2795i	0.145681	−	0.685377i
$322$	−3.91072	+	3.16684i	−0.217936	+	0.176481i
$323$	−25.0803	−	20.3096i	−1.39551	−	1.13006i
$324$	−0.207912	−	0.978148i	−0.0115506	−	0.0543415i
$325$	−13.1113	−	24.2296i	−0.727286	−	1.34402i
$326$	−5.18142	+	3.76452i	−0.286972	+	0.208498i
$327$	7.25053	+	4.70855i	0.400955	+	0.260383i
$328$	−5.52360	+	6.82108i	−0.304990	+	0.376631i
$329$	−0.637929	−	0.0670490i	−0.0351702	−	0.00369653i
$330$	−10.4687	+	1.23155i	−0.576280	+	0.0677946i
$331$	11.9854	+	26.9195i	0.658775	+	1.47963i	0.865333	+	0.501198i	$0.167107\pi$
$331$	11.9854	+	26.9195i	0.658775	+	1.47963i	−0.206558	+	0.978434i	$0.566226\pi$
$332$	−0.870397	+	16.6082i	−0.0477693	+	0.911492i
$333$	3.62667	+	7.11775i	0.198740	+	0.390050i
$334$	−15.2436	+	16.9297i	−0.834091	+	0.926352i
$335$	−11.1865	+	0.725267i	−0.611184	+	0.0396256i
$336$	−1.51271	−	0.873363i	−0.0825250	−	0.0476458i
$337$	−8.49784	+	16.6779i	−0.462907	+	0.908506i	0.535063	+	0.844812i	$0.320288\pi$
$337$	−8.49784	+	16.6779i	−0.462907	+	0.908506i	−0.997970	+	0.0636933i	$0.979712\pi$
$338$	−6.22100	−	16.2063i	−0.338378	−	0.881505i
$339$	6.29512	+	4.57367i	0.341904	+	0.248408i
$340$	5.29134	−	10.7107i	0.286963	−	0.580869i
$341$	2.93153	−	26.0823i	0.158751	−	1.41243i
$342$	−4.27132	+	4.27132i	−0.230967	+	0.230967i
$343$	2.99178	+	18.8893i	0.161541	+	1.01993i
$344$	3.76041	+	1.67424i	0.202748	+	0.0902692i
$345$	−5.16433	+	3.85071i	−0.278038	+	0.207315i
$346$	−10.6585	+	18.4611i	−0.573007	+	0.992477i
$347$	−0.150474	+	0.561575i	−0.00807784	+	0.0301469i	−0.969847	−	0.243714i	$-0.921634\pi$
$347$	−0.150474	+	0.561575i	−0.00807784	+	0.0301469i	0.961769	+	0.273861i	$0.0883008\pi$
$348$	−6.58290	+	0.344995i	−0.352880	+	0.0184937i
$349$	−9.60320	−	3.12027i	−0.514048	−	0.167024i	0.0404946	−	0.999180i	$-0.487107\pi$
$349$	−9.60320	−	3.12027i	−0.514048	−	0.167024i	−0.554542	+	0.832156i	$0.687107\pi$
$350$	−1.60371	+	8.58512i	−0.0857216	+	0.458894i
$351$	−5.03357	+	2.24109i	−0.268672	+	0.119620i
$352$	−2.56743	−	3.95350i	−0.136845	−	0.210722i
$353$	−7.87238	−	9.72158i	−0.419005	−	0.517428i	0.523316	−	0.852139i	$-0.324695\pi$
$353$	−7.87238	−	9.72158i	−0.419005	−	0.517428i	−0.942321	+	0.334711i	$0.891361\pi$
$354$	0.861664	+	8.19818i	0.0457969	+	0.435728i
$355$	22.8810	−	13.5909i	1.21440	−	0.721329i
$356$	1.23202	+	1.69573i	0.0652968	+	0.0898733i
$357$	−1.45986	+	9.21717i	−0.0772638	+	0.487824i
$358$	−3.66595	+	5.64507i	−0.193752	+	0.298351i
$359$	−22.5212	+	2.36707i	−1.18862	+	0.124929i	−0.678123	−	0.734949i	$-0.737206\pi$
$359$	−22.5212	+	2.36707i	−1.18862	+	0.124929i	−0.510500	+	0.859878i	$0.670540\pi$
$360$	−1.89026	−	1.19453i	−0.0996255	−	0.0629575i
$361$	17.1062	+	3.63604i	0.900327	+	0.191370i
$362$	8.40299	+	3.22561i	0.441652	+	0.169534i
$363$	11.2065	+	0.587308i	0.588189	+	0.0308257i
$364$	−2.97408	+	9.15327i	−0.155884	+	0.479762i
$365$	1.64427	+	4.12986i	0.0860648	+	0.216167i
$366$	−6.32164	−	10.9494i	−0.330437	−	0.572334i
$367$	−22.9113	+	6.13907i	−1.19596	+	0.320457i	−0.801239	−	0.598344i	$-0.795826\pi$
$367$	−22.9113	+	6.13907i	−1.19596	+	0.320457i	−0.394721	+	0.918801i	$0.629159\pi$
$368$	−2.56691	−	1.30791i	−0.133809	−	0.0681793i
$369$	3.56996	−	8.01827i	0.185845	−	0.417415i
$370$	17.0555	+	5.30908i	0.886672	+	0.276006i
$371$		−	23.1167i		−	1.20016i
$372$	3.96527	−	3.90853i	0.205590	−	0.202648i
$373$	15.2800	+	15.2800i	0.791167	+	0.791167i	0.981684	−	0.190517i	$-0.0610165\pi$
$373$	15.2800	+	15.2800i	0.791167	+	0.791167i	−0.190517	+	0.981684i	$0.561016\pi$
$374$	−14.8034	+	20.3752i	−0.765467	+	1.05357i
$375$	−2.49057	+	10.8994i	−0.128613	+	0.562843i
$376$	−0.113479	−	0.349253i	−0.00585224	−	0.0180113i
$377$	9.40058	+	35.0834i	0.484154	+	1.80689i
$378$	1.68721	+	0.452086i	0.0867806	+	0.0232528i
$379$	6.90857	+	6.22051i	0.354870	+	0.319526i	0.827213	−	0.561889i	$-0.189925\pi$
$379$	6.90857	+	6.22051i	0.354870	+	0.319526i	−0.472343	+	0.881415i	$0.656592\pi$
$380$	0.167264	+	13.5061i	0.00858045	+	0.692847i
$381$	−3.42323	−	3.80188i	−0.175377	−	0.194776i
$382$	−0.390611	+	1.01758i	−0.0199854	+	0.0520637i
$383$	−5.83439	+	3.78890i	−0.298123	+	0.193604i	−0.685029	−	0.728516i	$-0.740211\pi$
$383$	−5.83439	+	3.78890i	−0.298123	+	0.193604i	0.386906	+	0.922119i	$0.373544\pi$
$384$	0.104528	−	0.994522i	0.00533420	−	0.0507515i
$385$	6.38489	−	17.2694i	0.325404	−	0.880132i
$386$	−0.895857	+	0.190420i	−0.0455979	+	0.00969213i
$387$	−4.06561	−	0.643929i	−0.206666	−	0.0327327i
$388$	0.659878	+	0.104514i	0.0335002	+	0.00530592i
$389$	25.8420	−	5.49288i	1.31024	−	0.278500i	0.500728	−	0.865605i	$-0.333066\pi$
$389$	25.8420	−	5.49288i	1.31024	−	0.278500i	0.809511	+	0.587105i	$0.199732\pi$
$390$	−4.27252	+	11.5560i	−0.216347	+	0.585162i
$391$	−1.60886	+	15.3072i	−0.0813633	+	0.774121i
$392$	−3.31187	+	2.15075i	−0.167275	+	0.108629i
$393$	1.99798	−	5.20491i	0.100785	−	0.262553i
$394$	−15.1630	−	16.8402i	−0.763902	−	0.848399i
$395$	−0.148288	−	11.9739i	−0.00746119	−	0.602470i
$396$	3.50319	+	3.15429i	0.176042	+	0.158509i
$397$	10.0052	+	2.68089i	0.502148	+	0.134550i	0.500997	−	0.865449i	$-0.332967\pi$
$397$	10.0052	+	2.68089i	0.502148	+	0.134550i	0.00115125	+	0.999999i	$0.499634\pi$
$398$	−5.41240	−	20.1993i	−0.271299	−	1.01250i
$399$	−3.26050	−	10.0348i	−0.163229	−	0.502368i
$400$	−4.86349	+	1.16036i	−0.243175	+	0.0580179i
$401$	5.90723	−	8.13060i	0.294993	−	0.406023i	−0.635635	−	0.771990i	$-0.719262\pi$
$401$	5.90723	−	8.13060i	0.294993	−	0.406023i	0.930628	+	0.365967i	$0.119262\pi$
$402$	3.54491	+	3.54491i	0.176804	+	0.176804i
$403$	−25.6076	−	16.8934i	−1.27561	−	0.841519i
$404$			11.4495i			0.569635i
$405$	2.13502	+	0.664595i	0.106090	+	0.0330240i
$406$	4.68328	−	10.5188i	0.232427	−	0.522041i
$407$	−33.5531	−	17.0962i	−1.66317	−	0.847426i
$408$	−5.16056	+	1.38277i	−0.255486	+	0.0684572i
$409$	6.60408	+	11.4386i	0.326551	+	0.565602i	0.981825	−	0.189789i	$-0.0607803\pi$
$409$	6.60408	+	11.4386i	0.326551	+	0.565602i	−0.655274	+	0.755391i	$0.727447\pi$
$410$	−7.25975	−	18.2341i	−0.358533	−	0.900518i
$411$	−5.65439	+	17.4024i	−0.278910	+	0.858398i
$412$	−3.62767	−	0.190118i	−0.178722	−	0.00936644i
$413$	−13.4425	−	5.16009i	−0.661461	−	0.253911i
$414$	2.81795	+	0.598975i	0.138495	+	0.0294380i
$415$	−31.4369	−	19.8662i	−1.54318	−	0.975195i
$416$	−5.47974	+	0.575944i	−0.268666	+	0.0282380i
$417$	−4.30021	+	6.62175i	−0.210582	+	0.324268i
$418$	4.45451	−	28.1247i	0.217877	−	1.37562i
$419$	3.44402	+	4.74028i	0.168251	+	0.231578i	0.884814	−	0.465945i	$-0.154286\pi$
$419$	3.44402	+	4.74028i	0.168251	+	0.231578i	−0.716562	+	0.697523i	$0.754286\pi$
$420$	3.35808	−	1.99464i	0.163857	−	0.0973282i
$421$	0.847892	+	8.06715i	0.0413237	+	0.393169i	0.995561	+	0.0941184i	$0.0300032\pi$
$421$	0.847892	+	8.06715i	0.0413237	+	0.393169i	−0.954237	+	0.299050i	$0.903330\pi$
$422$	−3.20137	−	3.95336i	−0.155840	−	0.192446i
$423$	0.200006	+	0.307982i	0.00972461	+	0.0149746i
$424$	12.0901	−	5.38287i	0.587149	−	0.261415i
$425$	15.0993	+	22.0363i	0.732424	+	1.06892i
$426$	−11.3192	−	3.67783i	−0.548416	−	0.178191i
$427$	22.0541	−	1.15580i	1.06727	−	0.0559333i
$428$	−3.24918	+	12.1261i	−0.157055	+	0.586137i
$429$	12.9869	−	22.4940i	0.627014	−	1.08602i
$430$	−7.37886	+	5.50194i	−0.355840	+	0.265327i
$431$	−8.44123	−	3.75828i	−0.406600	−	0.181030i	0.193237	−	0.981152i	$-0.438101\pi$
$431$	−8.44123	−	3.75828i	−0.406600	−	0.181030i	−0.599837	+	0.800122i	$0.704768\pi$
$432$	0.156434	+	0.987688i	0.00752646	+	0.0475202i
$433$	−15.7086	+	15.7086i	−0.754906	+	0.754906i	−0.975391	−	0.220484i	$-0.929236\pi$
$433$	−15.7086	+	15.7086i	−0.754906	+	0.754906i	0.220484	+	0.975391i	$0.429236\pi$
$434$	2.93857	+	9.27078i	0.141056	+	0.445012i
$435$	6.52867	−	13.2153i	0.313026	−	0.633625i
$436$	−6.99417	−	5.08156i	−0.334960	−	0.243363i
$437$	−6.23643	−	16.2465i	−0.298329	−	0.777173i
$438$	0.902501	−	1.77126i	0.0431232	−	0.0846340i
$439$	12.0996	+	6.98570i	0.577482	+	0.333409i	0.760132	−	0.649769i	$-0.225134\pi$
$439$	12.0996	+	6.98570i	0.577482	+	0.333409i	−0.182650	+	0.983178i	$0.558468\pi$
$440$	10.5188	−	0.681975i	0.501462	−	0.0325119i
$441$	2.64236	−	2.93464i	0.125827	−	0.139745i
$442$	13.3643	+	26.2289i	0.635674	+	1.24758i
$443$	0.180821	−	3.45027i	0.00859105	−	0.163927i	−0.990965	−	0.134123i	$-0.957178\pi$
$443$	0.180821	−	3.45027i	0.00859105	−	0.163927i	0.999556	−	0.0298042i	$-0.00948836\pi$
$444$	−3.24919	−	7.29780i	−0.154200	−	0.346338i
$445$	−4.65477	+	0.547596i	−0.220657	+	0.0259585i
$446$	13.7322	+	1.44332i	0.650240	+	0.0683430i
$447$	−9.84449	+	12.1569i	−0.465628	+	0.575003i
$448$	1.46493	+	0.951335i	0.0692113	+	0.0449463i
$449$	2.47109	−	1.79535i	0.116618	−	0.0847278i	−0.527948	−	0.849277i	$-0.677038\pi$
$449$	2.47109	−	1.79535i	0.116618	−	0.0847278i	0.644566	+	0.764549i	$0.277038\pi$
$450$	4.39745	−	2.37958i	0.207298	−	0.112175i
$451$	8.60241	+	40.4711i	0.405072	+	1.90571i
$452$	−6.04713	−	4.89687i	−0.284433	−	0.230329i
$453$	−2.66529	+	2.15831i	−0.125226	+	0.101406i
$454$	−1.21928	+	5.73627i	−0.0572237	+	0.269216i
$455$	−14.5971	−	15.8134i	−0.684321	−	0.741344i
$456$	4.48901	−	4.04192i	0.210217	−	0.189280i
$457$	−5.52459	+	2.81492i	−0.258429	+	0.131676i	−0.578406	−	0.815749i	$-0.696325\pi$
$457$	−5.52459	+	2.81492i	−0.258429	+	0.131676i	0.319976	+	0.947426i	$0.396325\pi$
$458$	−0.505364	−	9.64292i	−0.0236141	−	0.450584i
$459$	4.62683	−	2.67130i	0.215962	−	0.124686i
$460$	5.35878	−	3.57515i	0.249854	−	0.166692i
$461$	−30.1766	+	9.80498i	−1.40547	+	0.456663i	−0.910954	−	0.412508i	$-0.864653\pi$
$461$	−30.1766	+	9.80498i	−1.40547	+	0.456663i	−0.494511	+	0.869171i	$0.664653\pi$
$462$	−7.68718	+	2.95083i	−0.357640	+	0.137285i
$463$	12.8821	−	2.04033i	0.598682	−	0.0948220i	0.150264	−	0.988646i	$-0.451988\pi$
$463$	12.8821	−	2.04033i	0.598682	−	0.0948220i	0.448418	+	0.893824i	$0.351988\pi$
$464$	6.59193			0.306023
$465$	3.28449	+	12.0088i	0.152315	+	0.556896i
$466$	−28.5500			−1.32255
$467$	24.5326	−	3.88559i	1.13524	−	0.179804i	0.439597	−	0.898195i	$-0.355121\pi$
$467$	24.5326	−	3.88559i	1.13524	−	0.179804i	0.695639	+	0.718392i	$0.255121\pi$
$468$	5.14396	−	1.97458i	0.237780	−	0.0912750i
$469$	−8.32819	+	2.70599i	−0.384560	+	0.124951i
$470$	0.805251	+	0.160766i	0.0371435	+	0.00741557i
$471$	7.17191	−	4.14071i	0.330464	−	0.190794i
$472$	−0.431423	−	8.23204i	−0.0198579	−	0.378910i
$473$	17.2893	−	8.80933i	0.794962	−	0.405053i
$474$	−3.97975	+	3.58338i	−0.182796	+	0.164590i
$475$	−26.5224	−	14.4490i	−1.21693	−	0.662966i
$476$	1.94024	−	9.12813i	0.0889310	−	0.418387i
$477$	−10.2850	+	8.32861i	−0.470917	+	0.381341i
$478$	−8.86668	−	7.18009i	−0.405552	−	0.328410i
$479$	−3.93625	−	18.5186i	−0.179852	−	0.846136i	−0.971848	−	0.235610i	$-0.924291\pi$
$479$	−3.93625	−	18.5186i	−0.179852	−	0.846136i	0.791996	−	0.610526i	$-0.209042\pi$
$480$	1.82515	+	1.29183i	0.0833065	+	0.0589635i
$481$	−35.6094	+	25.8718i	−1.62365	+	1.17965i
$482$	−23.8088	−	15.4616i	−1.08446	−	0.704257i
$483$	−3.16684	+	3.91072i	−0.144096	+	0.177944i
$484$	−11.1604	−	1.17301i	−0.507292	−	0.0533185i
$485$	−0.925709	+	1.17255i	−0.0420343	+	0.0532428i
$486$	−0.406737	−	0.913545i	−0.0184499	−	0.0414393i
$487$	−2.09738	+	40.0204i	−0.0950414	+	1.81350i	0.370891	+	0.928677i	$0.379052\pi$
$487$	−2.09738	+	40.0204i	−0.0950414	+	1.81350i	−0.465932	+	0.884821i	$0.654281\pi$
$488$	5.73993	+	11.2652i	0.259834	+	0.509954i
$489$	−4.28551	+	4.75954i	−0.193797	+	0.215234i
$490$	−0.571295	−	8.81162i	−0.0258085	−	0.398069i
$491$	−15.9494	−	9.20841i	−0.719788	−	0.415570i	0.0948866	−	0.995488i	$-0.469751\pi$
$491$	−15.9494	−	9.20841i	−0.719788	−	0.415570i	−0.814675	+	0.579918i	$0.803084\pi$
$492$	−3.98472	+	7.82045i	−0.179645	+	0.352573i
$493$	−12.6210	−	32.8789i	−0.568423	−	1.48079i
$494$	−26.9265	−	19.5633i	−1.21148	−	0.880193i
$495$	−9.98384	+	3.38119i	−0.448740	+	0.151973i
$496$	−4.16439	+	3.69565i	−0.186987	+	0.165940i
$497$	14.7000	−	14.7000i	0.659387	−	0.659387i
$498$	2.60166	+	16.4262i	0.116583	+	0.736076i
$499$	3.31366	+	1.47533i	0.148340	+	0.0660450i	0.479564	−	0.877507i	$-0.340795\pi$
$499$	3.31366	+	1.47533i	0.148340	+	0.0660450i	−0.331224	+	0.943552i	$0.607462\pi$
$500$	3.05759	−	10.7541i	0.136740	−	0.480939i
$501$	−11.3906	+	19.7291i	−0.508893	+	0.881429i
$502$	5.81081	−	21.6862i	0.259349	−	0.967904i
$503$	25.9652	−	1.36078i	1.15773	−	0.0606742i	0.536220	−	0.844078i	$-0.319852\pi$
$503$	25.9652	−	1.36078i	1.15773	−	0.0606742i	0.621513	+	0.783404i	$0.286518\pi$
$504$	−1.66123	−	0.539768i	−0.0739973	−	0.0240432i
$505$	−22.3287	−	12.5254i	−0.993615	−	0.557373i
$506$	−12.4065	+	5.52374i	−0.551537	+	0.245560i
$507$	−9.45453	−	14.5587i	−0.419891	−	0.646575i
$508$	3.21956	+	3.97583i	0.142845	+	0.176399i
$509$	3.49545	+	33.2569i	0.154933	+	1.47409i	0.745179	+	0.666865i	$0.232364\pi$
$509$	3.49545	+	33.2569i	0.154933	+	1.47409i	−0.590246	+	0.807223i	$0.700969\pi$
$510$	2.94883	−	11.5768i	0.130576	−	0.512628i
$511$	2.04101	+	2.80920i	0.0902888	+	0.124272i
$512$	−0.156434	+	0.987688i	−0.00691349	+	0.0436501i
$513$	−3.28993	+	5.06604i	−0.145254	+	0.223671i
$514$	−8.97982	+	0.943817i	−0.396083	+	0.0416300i
$515$	4.33932	−	6.86665i	0.191213	−	0.302581i
$516$	4.02633	+	0.855824i	0.177249	+	0.0376755i
$517$	−1.61613	−	0.620373i	−0.0710772	−	0.0272840i
$518$	13.9345	+	0.730275i	0.612246	+	0.0320864i
$519$	−6.58734	+	20.2738i	−0.289152	+	0.889919i
$520$	4.87146	−	11.3166i	0.213628	−	0.496265i
$521$	−5.51073	−	9.54487i	−0.241430	−	0.418168i	0.719692	−	0.694293i	$-0.244283\pi$
$521$	−5.51073	−	9.54487i	−0.241430	−	0.418168i	−0.961122	+	0.276125i	$0.910950\pi$
$522$	−6.36732	+	1.70612i	−0.278690	+	0.0746747i
$523$	−10.8181	−	5.51210i	−0.473043	−	0.241027i	0.201182	−	0.979554i	$-0.435522\pi$
$523$	−10.8181	−	5.51210i	−0.473043	−	0.241027i	−0.674224	+	0.738527i	$0.735522\pi$
$524$	−2.26764	+	5.09321i	−0.0990624	+	0.222498i
$525$	0.216287	+	8.73095i	0.00943954	+	0.381050i
$526$		−	20.6775i		−	0.901583i
$527$	26.4062	+	13.6952i	1.15027	+	0.596572i
$528$	−3.33331	−	3.33331i	−0.145064	−	0.145064i
$529$	8.64065	−	11.8928i	0.375681	−	0.517080i
$530$	−2.72860	+	29.4667i	−0.118523	+	1.27995i
$531$	2.54733	+	7.83988i	0.110545	+	0.340222i
$532$	2.73085	+	10.1917i	0.118397	+	0.441865i
$533$	46.7132	+	12.5168i	2.02338	+	0.542162i
$534$	1.55766	+	1.40252i	0.0674064	+	0.0606930i
$535$	−20.0937	−	19.6021i	−0.868725	−	0.847472i
$536$	−3.35452	−	3.72558i	−0.144893	−	0.160920i
$537$	−2.41217	+	6.28391i	−0.104093	+	0.271171i
$538$	−14.7269	+	9.56377i	−0.634922	+	0.412323i
$539$	−1.94584	+	18.5134i	−0.0838132	+	0.797429i
$540$	−2.09731	−	0.775423i	−0.0902540	−	0.0333689i
$541$	−14.3045	+	3.04051i	−0.614997	+	0.130722i	−0.504869	−	0.863196i	$-0.668459\pi$
$541$	−14.3045	+	3.04051i	−0.614997	+	0.130722i	−0.110127	+	0.993917i	$0.535126\pi$
$542$	20.3642	+	3.22537i	0.874717	+	0.138542i
$543$	8.89001	+	1.40804i	0.381507	+	0.0604247i
$544$	5.22586	−	1.11079i	0.224057	−	0.0476247i
$545$	17.5614	−	8.08088i	0.752247	−	0.346147i
$546$	−1.00602	+	9.57160i	−0.0430535	+	0.409627i
$547$	25.2232	−	16.3801i	1.07847	−	0.700364i	0.122095	−	0.992518i	$-0.461039\pi$
$547$	25.2232	−	16.3801i	1.07847	−	0.700364i	0.956371	+	0.292155i	$0.0943722\pi$
$548$	6.55741	−	17.0826i	0.280119	−	0.729734i
$549$	−8.46000	−	9.39579i	−0.361064	−	0.401002i
$550$	−10.1772	+	21.2596i	−0.433958	+	0.906513i
$551$	29.5913	+	26.6441i	1.26063	+	1.13508i
$552$	−2.78274	−	0.745634i	−0.118441	−	0.0317363i
$553$	−2.42105	−	9.03547i	−0.102953	−	0.384227i
$554$	7.73694	+	23.8119i	0.328711	+	1.01167i
$555$	17.7866	+	1.64703i	0.754999	+	0.0699124i
$556$	4.64088	−	6.38762i	0.196817	−	0.270895i
$557$	−2.05449	−	2.05449i	−0.0870514	−	0.0870514i	0.662240	−	0.749292i	$-0.269606\pi$
$557$	−2.05449	−	2.05449i	−0.0870514	−	0.0870514i	−0.749292	+	0.662240i	$0.769606\pi$
$558$	3.06599	−	4.64755i	0.129794	−	0.196746i
$559$		−	22.6804i		−	0.959279i
$560$	−3.45786	+	1.81615i	−0.146121	+	0.0767465i
$561$	−10.2437	+	23.0077i	−0.432489	+	0.971387i
$562$	−6.18173	−	3.14975i	−0.260760	−	0.132864i
$563$	−22.9149	+	6.14004i	−0.965750	+	0.258772i	−0.707032	−	0.707181i	$-0.749967\pi$
$563$	−22.9149	+	6.14004i	−0.965750	+	0.258772i	−0.258717	+	0.965953i	$0.583300\pi$
$564$	−0.183613	−	0.318027i	−0.00773150	−	0.0133914i
$565$	16.1652	−	6.43602i	0.680074	−	0.270765i
$566$	−7.60564	+	23.4078i	−0.319689	+	0.983902i
$567$	1.74433	+	0.0914165i	0.0732550	+	0.00383913i
$568$	11.1112	+	4.26519i	0.466215	+	0.178963i
$569$	25.1394	+	5.34354i	1.05390	+	0.224013i	0.702111	−	0.712067i	$-0.252241\pi$
$569$	25.1394	+	5.34354i	1.05390	+	0.224013i	0.351787	+	0.936080i	$0.385574\pi$
$570$	2.97168	+	13.1762i	0.124470	+	0.551888i
$571$	14.1758	−	1.48993i	0.593237	−	0.0623518i	0.196848	−	0.980434i	$-0.436930\pi$
$571$	14.1758	−	1.48993i	0.593237	−	0.0623518i	0.396390	+	0.918082i	$0.370263\pi$
$572$	−14.1464	+	21.7835i	−0.591489	+	0.910814i
$573$	−0.170509	+	1.07655i	−0.00712312	+	0.0449736i
$574$	−9.01143	−	12.4032i	−0.376130	−	0.517698i
$575$	1.10988	+	14.3617i	0.0462853	+	0.598925i
$576$	−0.104528	−	0.994522i	−0.00435535	−	0.0414384i
$577$	5.03510	+	6.21783i	0.209614	+	0.258852i	0.871100	−	0.491106i	$-0.163407\pi$
$577$	5.03510	+	6.21783i	0.209614	+	0.258852i	−0.661486	+	0.749958i	$0.730074\pi$
$578$	−6.28700	−	9.68113i	−0.261505	−	0.402682i
$579$	−0.836689	+	0.372518i	−0.0347716	+	0.0154813i
$580$	−7.21136	+	12.8555i	−0.299435	+	0.533796i
$581$	−27.6279	−	8.97686i	−1.14620	−	0.372423i
$582$	0.667188	−	0.0349659i	0.0276558	−	0.00144938i
$583$	16.1468	−	60.2608i	0.668734	−	2.49575i
$584$	−0.993965	+	1.72160i	−0.0411305	+	0.0712402i
$585$	−1.77652	+	12.1918i	−0.0734501	+	0.504069i
$586$	9.59906	+	4.27378i	0.396533	+	0.176548i
$587$	−2.70599	−	17.0850i	−0.111688	−	0.705172i	−0.978455	−	0.206459i	$-0.933806\pi$
$587$	−2.70599	−	17.0850i	−0.111688	−	0.705172i	0.866767	−	0.498713i	$-0.166194\pi$
$588$	−2.79233	+	2.79233i	−0.115154	+	0.115154i
$589$	−33.6315	−	0.242354i	−1.38576	−	0.00998602i
$590$	16.5260	+	8.16423i	0.680364	+	0.336116i
$591$	−18.3330	−	13.3197i	−0.754117	−	0.547898i
$592$	2.86280	+	7.45785i	0.117660	+	0.306516i
$593$	−11.9018	+	23.3586i	−0.488748	+	0.959222i	0.506536	+	0.862219i	$0.330926\pi$
$593$	−11.9018	+	23.3586i	−0.488748	+	0.959222i	−0.995284	+	0.0970033i	$0.969074\pi$
$594$	4.08245	+	2.35700i	0.167505	+	0.0967091i
$595$	15.6790	+	13.7697i	0.642777	+	0.564504i
$596$	10.4672	−	11.6250i	0.428755	−	0.476180i
$597$	−9.49380	−	18.6326i	−0.388555	−	0.762583i
$598$	−0.830760	+	15.8518i	−0.0339723	+	0.648230i
$599$	14.6946	+	33.0046i	0.600404	+	1.34853i	0.916588	+	0.399832i	$0.130932\pi$
$599$	14.6946	+	33.0046i	0.600404	+	1.34853i	−0.316184	+	0.948698i	$0.602402\pi$
$600$	−4.51596	+	2.14618i	−0.184363	+	0.0876174i
$601$	−2.44682	−	0.257171i	−0.0998077	−	0.0104902i	0.0544929	−	0.998514i	$-0.482646\pi$
$601$	−2.44682	−	0.257171i	−0.0998077	−	0.0104902i	−0.154301	+	0.988024i	$0.549312\pi$
$602$	−4.52482	+	5.58769i	−0.184418	+	0.227737i
$603$	4.20447	+	2.73042i	0.171219	+	0.111191i
$604$	2.77460	−	2.01586i	0.112897	−	0.0820242i
$605$	14.4967	−	20.4817i	0.589376	−	0.832699i
$606$	2.38049	+	11.1993i	0.0967008	+	0.454941i
$607$	7.52522	+	6.09380i	0.305439	+	0.247340i	0.769769	−	0.638323i	$-0.220371\pi$
$607$	7.52522	+	6.09380i	0.305439	+	0.247340i	−0.464330	+	0.885662i	$0.653705\pi$
$608$	−4.69440	+	3.80145i	−0.190383	+	0.154169i
$609$	2.39396	−	11.2627i	0.0970080	−	0.456387i
$610$	−28.2486	−	1.12987i	−1.14375	−	0.0457473i
$611$	−1.50367	+	1.35391i	−0.0608320	+	0.0547734i
$612$	−4.76030	+	2.42549i	−0.192424	+	0.0980447i
$613$	1.58644	+	30.2712i	0.0640759	+	1.22264i	0.821689	+	0.569937i	$0.193032\pi$
$613$	1.58644	+	30.2712i	0.0640759	+	1.22264i	−0.757613	+	0.652704i	$0.773634\pi$
$614$	2.09734	−	1.21090i	0.0846419	−	0.0488680i
$615$	−10.8922	−	16.3263i	−0.439215	−	0.658338i
$616$	7.83107	−	2.54447i	0.315523	−	0.102520i
$617$	13.3995	−	5.14360i	0.539445	−	0.207074i	−0.0733629	−	0.997305i	$-0.523373\pi$
$617$	13.3995	−	5.14360i	0.539445	−	0.207074i	0.612808	+	0.790232i	$0.290040\pi$
$618$	−3.58792	+	0.568271i	−0.144327	+	0.0228592i
$619$	−25.5086			−1.02528			−0.512639	−	0.858604i	$-0.671332\pi$
$619$	−25.5086			−1.02528			−0.512639	+	0.858604i	$0.671332\pi$
$620$	−2.65150	−	12.1643i	−0.106487	−	0.488529i
$621$	2.88091			0.115607
$622$	15.0971	−	2.39115i	0.605339	−	0.0958762i
$623$	−3.41802	+	1.31205i	−0.136940	+	0.0525664i
$624$	−5.24025	+	1.70266i	−0.209778	+	0.0681610i
$625$	17.6277	+	17.7275i	0.705106	+	0.709102i
$626$	14.6905	−	8.48154i	0.587149	−	0.338990i
$627$	−1.49028	−	28.4362i	−0.0595161	−	1.13563i
$628$	−7.37879	+	3.75968i	−0.294446	+	0.150028i
$629$	31.7167	−	28.5579i	1.26463	−	1.13868i
$630$	2.86999	−	2.64923i	0.114343	−	0.105548i
$631$	1.55959	−	7.33729i	0.0620862	−	0.292093i	−0.936140	−	0.351628i	$-0.885628\pi$
$631$	1.55959	−	7.33729i	0.0620862	−	0.292093i	0.998226	+	0.0595347i	$0.0189617\pi$
$632$	4.16183	−	3.37019i	0.165549	−	0.134059i
$633$	−3.95336	−	3.20137i	−0.157132	−	0.127243i
$634$	2.17836	+	10.2484i	0.0865136	+	0.407015i
$635$	−11.2757	+	1.92933i	−0.447463	+	0.0765629i
$636$	10.7068	−	7.77892i	0.424551	−	0.308454i
$637$	18.2481	+	11.8505i	0.723018	+	0.469533i
$638$	19.5558	−	24.1494i	0.774220	−	0.956083i
$639$	−11.8365	−	1.24407i	−0.468245	−	0.0492145i
$640$	−1.75504	−	1.38558i	−0.0693742	−	0.0547697i
$641$	−5.04264	−	11.3260i	−0.199172	−	0.447348i	0.786154	−	0.618031i	$-0.212069\pi$
$641$	−5.04264	−	11.3260i	−0.199172	−	0.447348i	−0.985326	+	0.170683i	$0.945403\pi$
$642$	−0.657018	+	12.5367i	−0.0259304	+	0.494782i
$643$	3.48040	+	6.83066i	0.137253	+	0.269375i	0.949395	−	0.314086i	$-0.101698\pi$
$643$	3.48040	+	6.83066i	0.137253	+	0.269375i	−0.812141	+	0.583461i	$0.801698\pi$
$644$	3.36717	−	3.73962i	0.132685	−	0.147362i
$645$	−6.07370	+	6.91587i	−0.239152	+	0.272312i
$646$	27.9487	+	16.1362i	1.09963	+	0.634869i
$647$	1.67912	−	3.29546i	0.0660130	−	0.129558i	−0.855642	−	0.517568i	$-0.826837\pi$
$647$	1.67912	−	3.29546i	0.0660130	−	0.129558i	0.921655	+	0.388010i	$0.126837\pi$
$648$	0.358368	+	0.933580i	0.0140780	+	0.0366745i
$649$	−31.4377	−	22.8409i	−1.23404	−	0.896582i
$650$	16.7403	+	21.8803i	0.656607	+	0.858214i
$651$	4.80186	+	8.45722i	0.188200	+	0.331465i
$652$	4.52873	−	4.52873i	0.177359	−	0.177359i
$653$	5.07243	+	32.0261i	0.198500	+	1.25328i	0.862698	+	0.505720i	$0.168773\pi$
$653$	5.07243	+	32.0261i	0.198500	+	1.25328i	−0.664198	+	0.747557i	$0.731227\pi$
$654$	−7.89784	−	3.51635i	−0.308830	−	0.137500i
$655$	−7.45199	−	9.99414i	−0.291173	−	0.390503i
$656$	4.38855	−	7.60118i	0.171344	−	0.296776i
$657$	0.514514	−	1.92019i	0.0200731	−	0.0749138i
$658$	0.640564	−	0.0335705i	0.0249718	−	0.00130872i
$659$	−12.5231	−	4.06901i	−0.487831	−	0.158506i	0.0547655	−	0.998499i	$-0.482559\pi$
$659$	−12.5231	−	4.06901i	−0.487831	−	0.158506i	−0.542597	+	0.839993i	$0.682559\pi$
$660$	10.1471	−	2.85405i	0.394976	−	0.111094i
$661$	−39.8361	+	17.7362i	−1.54944	+	0.689857i	−0.990266	−	0.139191i	$-0.955550\pi$
$661$	−39.8361	+	17.7362i	−1.54944	+	0.689857i	−0.559178	+	0.829047i	$0.688883\pi$
$662$	−16.0489	−	24.7132i	−0.623760	−	0.960506i
$663$	18.5255	+	22.8771i	0.719472	+	0.888473i
$664$	−1.73841	−	16.5399i	−0.0674633	−	0.641871i
$665$	−22.8632	−	5.82369i	−0.886595	−	0.225833i
$666$	−4.69548	−	6.46278i	−0.181946	−	0.250428i
$667$	2.97081	−	18.7569i	0.115030	−	0.726272i
$668$	12.4075	−	19.1059i	0.480061	−	0.739229i
$669$	13.7322	−	1.44332i	0.530919	−	0.0558018i
$670$	10.9353	−	2.46629i	0.422468	−	0.0952812i
$671$	58.2981	+	12.3916i	2.25057	+	0.478374i
$672$	1.63071	+	0.625970i	0.0629059	+	0.0241473i
$673$	20.9453	+	1.09770i	0.807381	+	0.0423131i	0.451560	−	0.892241i	$-0.350868\pi$
$673$	20.9453	+	1.09770i	0.807381	+	0.0423131i	0.355821	+	0.934554i	$0.384201\pi$
$674$	5.78421	−	17.8020i	0.222799	−	0.685706i
$675$	3.80661	−	3.24187i	0.146517	−	0.124780i
$676$	8.67963	+	15.0336i	0.333832	+	0.578214i
$677$	−32.7092	+	8.76439i	−1.25712	+	0.336843i	−0.825081	−	0.565014i	$-0.808871\pi$
$677$	−32.7092	+	8.76439i	−1.25712	+	0.336843i	−0.432034	+	0.901857i	$0.642204\pi$
$678$	−6.93310	−	3.53259i	−0.266264	−	0.135668i
$679$	−0.474659	+	1.06610i	−0.0182157	+	0.0409132i
$680$	−3.55067	+	11.4066i	−0.136162	+	0.437422i
$681$			5.86442i			0.224725i
$682$	1.18473	+	26.2197i	0.0453656	+	1.00401i
$683$	29.4128	+	29.4128i	1.12545	+	1.12545i	0.990908	+	0.134541i	$0.0429562\pi$
$683$	29.4128	+	29.4128i	1.12545	+	1.12545i	0.134541	+	0.990908i	$0.457044\pi$
$684$	3.55055	−	4.88692i	0.135759	−	0.186856i
$685$	26.1408	+	31.4760i	0.998787	+	1.20264i
$686$	−5.90989	−	18.1888i	−0.225641	−	0.694451i
$687$	−2.49920	−	9.32713i	−0.0953503	−	0.355852i
$688$	−3.97603	−	1.06537i	−0.151585	−	0.0406170i
$689$	−54.1901	−	48.7930i	−2.06448	−	1.85886i
$690$	4.49836	−	4.61118i	0.171250	−	0.175544i
$691$	−10.8938	−	12.0987i	−0.414418	−	0.460258i	0.499406	−	0.866368i	$-0.333552\pi$
$691$	−10.8938	−	12.0987i	−0.414418	−	0.460258i	−0.913824	+	0.406110i	$0.866885\pi$
$692$	7.63936	−	19.9012i	0.290405	−	0.756531i
$693$	−6.90568	+	4.48460i	−0.262325	+	0.170356i
$694$	0.0607713	−	0.578200i	0.00230685	−	0.0219482i
$695$	7.38009	+	16.0384i	0.279943	+	0.608372i
$696$	6.44788	−	1.37054i	0.244406	−	0.0519502i
$697$	−46.3152	−	7.33561i	−1.75431	−	0.277856i
$698$	9.97309	+	1.57958i	0.377487	+	0.0597881i
$699$	−27.9261	+	5.93587i	−1.05626	+	0.224515i
$700$	0.240952	−	8.73030i	0.00910712	−	0.329974i
$701$	−0.888497	+	8.45348i	−0.0335581	+	0.319284i	0.964846	+	0.262815i	$0.0846508\pi$
$701$	−0.888497	+	8.45348i	−0.0335581	+	0.319284i	−0.998404	+	0.0564688i	$0.982016\pi$
$702$	4.62101	−	3.00092i	0.174409	−	0.113262i
$703$	−17.2929	+	45.0496i	−0.652215	+	1.69908i
$704$	3.15429	+	3.50319i	0.118882	+	0.132032i
$705$	0.821079	−	0.0101685i	0.0309236	−	0.000382969i
$706$	9.29625	+	8.37038i	0.349869	+	0.315024i
$707$	−19.3177	−	5.17617i	−0.726517	−	0.194670i
$708$	−2.13353	−	7.96245i	−0.0801831	−	0.299247i
$709$	−2.87970	−	8.86279i	−0.108149	−	0.332849i	0.882307	−	0.470674i	$-0.155989\pi$
$709$	−2.87970	−	8.86279i	−0.108149	−	0.332849i	−0.990457	+	0.137824i	$0.955989\pi$
$710$	−20.4732	+	17.0029i	−0.768346	+	0.638109i
$711$	−3.14775	+	4.33251i	−0.118050	+	0.162482i
$712$	−1.48212	−	1.48212i	−0.0555448	−	0.0555448i
$713$	8.63897	+	13.5151i	0.323532	+	0.506143i
$714$		−	9.33206i		−	0.349244i
$715$	−27.0062	−	51.4185i	−1.00998	−	1.92294i
$716$	2.73774	−	6.14906i	0.102314	−	0.229801i
$717$	−10.1657	−	5.17971i	−0.379647	−	0.193440i
$718$	21.8736	−	5.86102i	0.816316	−	0.218731i
$719$	9.96705	+	17.2634i	0.371708	+	0.643818i	0.989828	−	0.142266i	$-0.0454388\pi$
$719$	9.96705	+	17.2634i	0.371708	+	0.643818i	−0.618120	+	0.786084i	$0.712106\pi$
$720$	2.05386	+	0.884125i	0.0765427	+	0.0329494i
$721$	1.96078	−	6.03467i	0.0730234	−	0.224743i
$722$	−17.4644	−	0.915271i	−0.649958	−	0.0340629i
$723$	−26.5031	−	10.1736i	−0.985663	−	0.378360i
$724$	−8.80414	−	1.87138i	−0.327203	−	0.0695492i
$725$	−17.1817	−	28.1270i	−0.638111	−	1.04461i
$726$	−11.1604	+	1.17301i	−0.414202	+	0.0435344i
$727$	−0.434970	+	0.669796i	−0.0161322	+	0.0248414i	−0.846645	−	0.532159i	$-0.821381\pi$
$727$	−0.434970	+	0.669796i	−0.0161322	+	0.0248414i	0.830513	+	0.557000i	$0.188048\pi$
$728$	1.50558	−	9.50583i	0.0558004	−	0.352310i
$729$	−0.587785	−	0.809017i	−0.0217698	−	0.0299636i
$730$	−2.27007	−	3.82179i	−0.0840192	−	0.141451i
$731$	2.29876	+	21.8712i	0.0850226	+	0.808936i
$732$	7.95667	+	9.82567i	0.294087	+	0.363167i
$733$	23.1681	+	35.6757i	0.855733	+	1.31771i	0.946785	+	0.321867i	$0.104310\pi$
$733$	23.1681	+	35.6757i	0.855733	+	1.31771i	−0.0910518	+	0.995846i	$0.529023\pi$
$734$	21.6689	−	9.64760i	0.799813	−	0.356100i
$735$	−2.39085	−	8.50029i	−0.0881878	−	0.313538i
$736$	2.73991	+	0.890250i	0.100994	+	0.0328151i
$737$	−23.6002	+	1.23683i	−0.869323	+	0.0455593i
$738$	−2.27168	+	8.47802i	−0.0836216	+	0.312080i
$739$	−13.1153	+	22.7163i	−0.482453	+	0.835634i	−0.999797	−	0.0201440i	$-0.993588\pi$
$739$	−13.1153	+	22.7163i	−0.482453	+	0.835634i	0.517344	+	0.855778i	$0.326921\pi$
$740$	−17.6760	−	2.57565i	−0.649783	−	0.0946827i
$741$	−30.4056	−	13.5374i	−1.11698	−	0.497310i
$742$	3.61624	+	22.8321i	0.132757	+	0.838192i
$743$	37.1625	−	37.1625i	1.36336	−	1.36336i	0.493760	−	0.869598i	$-0.335622\pi$
$743$	37.1625	−	37.1625i	1.36336	−	1.36336i	0.869598	−	0.493760i	$-0.164378\pi$
$744$	−3.30502	+	4.48072i	−0.121168	+	0.164271i
$745$	11.2202	+	33.1305i	0.411076	+	1.21381i
$746$	−17.4822	−	12.7015i	−0.640067	−	0.465036i
$747$	5.96000	+	15.5263i	0.218065	+	0.568079i
$748$	11.4338	−	22.4401i	0.418061	−	0.820491i
$749$	−18.9903	−	10.9641i	−0.693892	−	0.400618i
$750$	0.754866	−	11.1548i	0.0275638	−	0.407317i
$751$	34.7637	−	38.6090i	1.26855	−	1.40886i	0.397543	−	0.917584i	$-0.369863\pi$
$751$	34.7637	−	38.6090i	1.26855	−	1.40886i	0.871003	−	0.491278i	$-0.163470\pi$
$752$	0.166717	+	0.327201i	0.00607955	+	0.0119318i
$753$	1.17501	−	22.4205i	0.0428197	−	0.817048i
$754$	−14.7731	−	33.1809i	−0.538005	−	1.20838i
$755$	0.895991	+	7.61627i	0.0326084	+	0.277184i
$756$	−1.73716	−	0.182582i	−0.0631798	−	0.00664046i
$757$	−11.3933	+	14.0696i	−0.414097	+	0.511368i	−0.940930	−	0.338601i	$-0.890046\pi$
$757$	−11.3933	+	14.0696i	−0.414097	+	0.511368i	0.526833	+	0.849969i	$0.323379\pi$
$758$	−7.79662	−	5.06318i	−0.283186	−	0.183903i
$759$	−10.9870	+	7.98250i	−0.398802	+	0.289746i
$760$	−2.27802	−	13.3136i	−0.0826324	−	0.482936i
$761$	−8.55461	−	40.2463i	−0.310104	−	1.45893i	−0.806709	−	0.590949i	$-0.798753\pi$
$761$	−8.55461	−	40.2463i	−0.310104	−	1.45893i	0.496605	−	0.867977i	$-0.334580\pi$
$762$	3.97583	+	3.21956i	0.144029	+	0.116633i
$763$	11.7356	−	9.50330i	0.424857	−	0.344043i
$764$	0.226618	−	1.06615i	0.00819874	−	0.0385721i
$765$	0.477445	−	11.9369i	0.0172621	−	0.431579i
$766$	5.16984	−	4.65495i	0.186794	−	0.168190i
$767$	−40.4697	+	20.6203i	−1.46128	+	0.744557i
$768$	0.0523360	+	0.998630i	0.00188851	+	0.0360349i
$769$	20.3330	−	11.7392i	0.733225	−	0.423328i	−0.0863756	−	0.996263i	$-0.527529\pi$
$769$	20.3330	−	11.7392i	0.733225	−	0.423328i	0.819601	+	0.572935i	$0.194195\pi$
$770$	−3.60475	+	18.0556i	−0.129906	+	0.650680i
$771$	−8.58736	+	2.79020i	−0.309266	+	0.100487i
$772$	0.855039	−	0.328219i	0.0307735	−	0.0118128i
$773$	20.3662	−	3.22569i	0.732522	−	0.116020i	0.220980	−	0.975278i	$-0.429074\pi$
$773$	20.3662	−	3.22569i	0.732522	−	0.116020i	0.511542	+	0.859258i	$0.329074\pi$
$774$	4.11628			0.147957
$775$	26.6233	+	8.13641i	0.956336	+	0.292268i
$776$	−0.668104			−0.0239835
$777$	13.7818	−	2.18282i	0.494420	−	0.0783084i
$778$	−24.6645	+	9.46782i	−0.884266	+	0.339438i
$779$	50.4236	−	16.3836i	1.80661	−	0.587005i
$780$	2.41216	−	12.0821i	0.0863691	−	0.432610i
$781$	48.5881	−	28.0524i	1.73862	−	1.00379i
$782$	−0.805532	−	15.3705i	−0.0288058	−	0.549647i
$783$	−5.87345	+	2.99267i	−0.209900	+	0.106949i
$784$	2.93464	−	2.64236i	0.104809	−	0.0943702i
$785$	0.740074	−	18.5030i	0.0264144	−	0.660401i
$786$	−1.15915	+	5.45338i	−0.0413456	+	0.194516i
$787$	23.2657	−	18.8402i	0.829332	−	0.671579i	−0.117584	−	0.993063i	$-0.537515\pi$
$787$	23.2657	−	18.8402i	0.829332	−	0.671579i	0.946915	+	0.321484i	$0.104181\pi$
$788$	17.6107	+	14.2609i	0.627356	+	0.508023i
$789$	−4.29910	−	20.2257i	−0.153052	−	0.720053i
$790$	2.01959	+	11.8032i	0.0718536	+	0.419940i
$791$	10.9958	−	7.98895i	0.390967	−	0.284054i
$792$	−3.95350	−	2.56743i	−0.140482	−	0.0912298i
$793$	43.8407	−	54.1387i	1.55683	−	1.92252i
$794$	−10.3014	−	1.08272i	−0.365584	−	0.0384244i
$795$	3.45750	+	29.3901i	0.122625	+	1.04236i
$796$	8.50563	+	19.1040i	0.301474	+	0.677122i
$797$	2.47136	−	47.1563i	0.0875400	−	1.67036i	−0.503709	−	0.863874i	$-0.668031\pi$
$797$	2.47136	−	47.1563i	0.0875400	−	1.67036i	0.591249	−	0.806489i	$-0.298635\pi$
$798$	4.79014	+	9.40119i	0.169569	+	0.332798i
$799$	1.31280	−	1.45801i	0.0464434	−	0.0515806i
$800$	4.62210	−	1.90689i	0.163416	−	0.0674187i
$801$	1.81522	+	1.04802i	0.0641376	+	0.0370299i
$802$	−4.56260	+	8.95460i	−0.161111	+	0.316198i
$803$	3.35831	+	8.74869i	0.118512	+	0.308735i
$804$	−4.05581	−	2.94672i	−0.143037	−	0.103923i
$805$	3.60939	+	10.6576i	0.127214	+	0.375633i
$806$	27.9351	+	12.6795i	0.983971	+	0.446616i
$807$	−12.4167	+	12.4167i	−0.437088	+	0.437088i
$808$	−1.79110	−	11.3086i	−0.0630107	−	0.397834i
$809$	2.54119	+	1.13141i	0.0893435	+	0.0397783i	0.450922	−	0.892563i	$-0.351095\pi$
$809$	2.54119	+	1.13141i	0.0893435	+	0.0397783i	−0.361578	+	0.932342i	$0.617762\pi$
$810$	−2.21270	−	0.322422i	−0.0777464	−	0.0113288i
$811$	−2.71425	+	4.70121i	−0.0953101	+	0.165082i	−0.909738	−	0.415183i	$-0.863718\pi$
$811$	−2.71425	+	4.70121i	−0.0953101	+	0.165082i	0.814428	+	0.580265i	$0.197051\pi$
$812$	−2.98012	+	11.1220i	−0.104582	+	0.390304i
$813$	20.5898	−	1.07906i	0.722115	−	0.0378444i
$814$	35.8145	+	11.6368i	1.25530	+	0.407871i
$815$	3.87759	+	13.7862i	0.135826	+	0.482908i
$816$	4.88071	−	2.17303i	0.170859	−	0.0760714i
$817$	−13.5423	−	20.8533i	−0.473784	−	0.729563i
$818$	−8.31216	−	10.2647i	−0.290628	−	0.358895i
$819$	1.00602	+	9.57160i	0.0351530	+	0.334459i
$820$	10.0228	+	16.8739i	0.350012	+	0.589264i
$821$	1.25406	+	1.72606i	0.0437669	+	0.0602400i	0.830340	−	0.557258i	$-0.188146\pi$
$821$	1.25406	+	1.72606i	0.0437669	+	0.0602400i	−0.786573	+	0.617498i	$0.788146\pi$
$822$	2.86244	−	18.0727i	0.0998389	−	0.630358i
$823$	−1.50767	+	2.32161i	−0.0525541	+	0.0809263i	−0.863971	−	0.503542i	$-0.832030\pi$
$823$	−1.50767	+	2.32161i	−0.0525541	+	0.0809263i	0.811417	+	0.584468i	$0.198697\pi$
$824$	3.61274	−	0.379715i	0.125856	−	0.0132280i
$825$	−5.53469	+	22.9110i	−0.192693	+	0.797659i
$826$	14.0842	+	2.99369i	0.490052	+	0.104164i
$827$	17.1606	+	6.58734i	0.596733	+	0.229064i	0.637940	−	0.770086i	$-0.279787\pi$
$827$	17.1606	+	6.58734i	0.596733	+	0.229064i	−0.0412070	+	0.999151i	$0.513120\pi$
$828$	−2.87696	−	0.150775i	−0.0999813	−	0.00523980i
$829$	−12.6705	+	38.9957i	−0.440063	+	1.35438i	0.447745	+	0.894161i	$0.352227\pi$
$829$	−12.6705	+	38.9957i	−0.440063	+	1.35438i	−0.887808	+	0.460214i	$0.847773\pi$
$830$	34.1576	+	14.7038i	1.18563	+	0.510378i
$831$	12.5186	+	21.6829i	0.434267	+	0.752172i
$832$	5.32218	−	1.42607i	0.184513	−	0.0494402i
$833$	−18.7982	−	9.57815i	−0.651318	−	0.331863i
$834$	3.21140	−	7.21293i	0.111202	−	0.249763i
$835$	23.6866	+	45.0982i	0.819710	+	1.56069i
$836$			28.4753i			0.984838i
$837$	2.03271	−	5.18344i	0.0702608	−	0.179166i
$838$	−4.14316	−	4.14316i	−0.143123	−	0.143123i
$839$	5.77752	−	7.95207i	0.199462	−	0.274536i	−0.697556	−	0.716531i	$-0.745729\pi$
$839$	5.77752	−	7.95207i	0.199462	−	0.274536i	0.897018	+	0.441995i	$0.145729\pi$
$840$	−3.00470	+	2.49540i	−0.103672	+	0.0860994i
$841$	4.46639	+	13.7461i	0.154014	+	0.474005i
$842$	−2.09943	−	7.83519i	−0.0723512	−	0.270018i
$843$	−6.70151	−	1.79566i	−0.230812	−	0.0618460i
$844$	3.78039	+	3.40388i	0.130126	+	0.117166i
$845$	−38.8135	+	0.480680i	−1.33523	+	0.0165359i
$846$	−0.245722	−	0.272902i	−0.00844810	−	0.00938257i
$847$	7.02457	−	18.2996i	0.241367	−	0.628783i
$848$	−11.0992	+	7.20791i	−0.381149	+	0.247521i
$849$	−2.57269	+	24.4775i	−0.0882946	+	0.840067i
$850$	−18.3606	−	19.4029i	−0.629765	−	0.665514i
$851$	22.5110	−	4.78487i	0.771669	−	0.164023i
$852$	11.7552	+	1.86184i	0.402725	+	0.0637854i
$853$	−4.36451	−	0.691270i	−0.149438	−	0.0236686i	0.0812672	−	0.996692i	$-0.474103\pi$
$853$	−4.36451	−	0.691270i	−0.149438	−	0.0236686i	−0.230705	+	0.973024i	$0.574103\pi$
$854$	−21.6017	+	4.59159i	−0.739196	+	0.157121i
$855$	5.64622	+	12.2704i	0.193097	+	0.419638i
$856$	1.31224	−	12.4851i	0.0448513	−	0.426732i
$857$	13.9749	−	9.07542i	0.477374	−	0.310010i	−0.283429	−	0.958993i	$-0.591472\pi$
$857$	13.9749	−	9.07542i	0.477374	−	0.310010i	0.760803	+	0.648983i	$0.224805\pi$
$858$	−9.30819	+	24.2487i	−0.317776	+	0.827836i
$859$	−23.5439	−	26.1481i	−0.803307	−	0.892163i	0.192716	−	0.981255i	$-0.438270\pi$
$859$	−23.5439	−	26.1481i	−0.803307	−	0.892163i	−0.996023	+	0.0890913i	$0.971604\pi$
$860$	6.42732	−	6.58851i	0.219170	−	0.224666i
$861$	−11.3933	−	10.2586i	−0.388282	−	0.349610i
$862$	8.92523	+	2.39151i	0.303995	+	0.0814551i
$863$	6.15371	+	22.9660i	0.209475	+	0.781770i	0.988039	+	0.154205i	$0.0492816\pi$
$863$	6.15371	+	22.9660i	0.209475	+	0.781770i	−0.778564	+	0.627565i	$0.784052\pi$
$864$	−0.309017	−	0.951057i	−0.0105130	−	0.0323556i
$865$	30.4539	+	36.6695i	1.03546	+	1.24680i
$866$	13.0578	−	17.9726i	0.443723	−	0.610732i
$867$	−8.16243	−	8.16243i	−0.277211	−	0.277211i
$868$	−4.35266	−	8.69694i	−0.147739	−	0.295194i
$869$		−	25.2448i		−	0.856373i
$870$	−4.38097	+	14.0739i	−0.148529	+	0.477150i
$871$	−11.2352	+	25.2346i	−0.380689	+	0.855040i
$872$	7.70299	+	3.92487i	0.260856	+	0.132913i
$873$	0.645339	−	0.172918i	0.0218414	−	0.00585239i
$874$	8.70116	+	15.0708i	0.294321	+	0.509779i
$875$	16.7621	+	10.0206i	0.566664	+	0.338757i
$876$	−0.614304	+	1.89063i	−0.0207554	+	0.0638786i
$877$	43.3953	+	2.27425i	1.46536	+	0.0767960i	0.768240	−	0.640162i	$-0.221133\pi$
$877$	43.3953	+	2.27425i	1.46536	+	0.0767960i	0.697116	+	0.716958i	$0.254466\pi$
$878$	−13.0434	−	5.00690i	−0.440194	−	0.168975i
$879$	10.2779	+	2.18463i	0.346664	+	0.0736856i
$880$	−10.2826	+	2.31908i	−0.346626	+	0.0781760i
$881$	31.2209	−	3.28145i	1.05186	−	0.110555i	0.437213	−	0.899358i	$-0.355965\pi$
$881$	31.2209	−	3.28145i	1.05186	−	0.110555i	0.614646	+	0.788803i	$0.289299\pi$
$882$	−2.15075	+	3.31187i	−0.0724196	+	0.111516i
$883$	2.22920	−	14.0746i	0.0750186	−	0.473649i	−0.921366	−	0.388695i	$-0.872926\pi$
$883$	2.22920	−	14.0746i	0.0750186	−	0.473649i	0.996385	−	0.0849534i	$-0.0270741\pi$
$884$	−17.3028	−	23.8153i	−0.581957	−	0.800996i
$885$	17.8623	+	4.54988i	0.600435	+	0.152942i
$886$	0.361146	+	3.43607i	0.0121329	+	0.115437i
$887$	19.7350	+	24.3707i	0.662635	+	0.818286i	0.992043	−	0.125901i	$-0.0401823\pi$
$887$	19.7350	+	24.3707i	0.662635	+	0.818286i	−0.329408	+	0.944188i	$0.606849\pi$
$888$	4.35081	+	6.69966i	0.146004	+	0.224826i
$889$	−8.16357	+	3.63466i	−0.273797	+	0.121902i
$890$	4.51180	−	1.26902i	0.151236	−	0.0425377i
$891$	4.48329	+	1.45671i	0.150196	+	0.0488016i
$892$	−13.7889	+	0.722648i	−0.461688	+	0.0241961i
$893$	−0.574126	+	2.14267i	−0.0192124	+	0.0717016i
$894$	7.82152	−	13.5473i	0.261591	−	0.453089i
$895$	8.99682	+	12.0660i	0.300731	+	0.403321i
$896$	−1.59571	−	0.710457i	−0.0533090	−	0.0237347i
$897$	2.48318	+	15.6782i	0.0829109	+	0.523479i
$898$	−2.15981	+	2.15981i	−0.0720738	+	0.0720738i
$899$	−31.6521	−	18.5797i	−1.05566	−	0.619669i
$900$	−3.97106	+	3.03820i	−0.132369	+	0.101273i
$901$	57.2020	+	41.5597i	1.90568	+	1.38455i
$902$	−14.8276	−	38.6272i	−0.493704	−	1.28614i
$903$	−3.26420	+	6.40635i	−0.108626	+	0.213190i
$904$	6.73872	+	3.89060i	0.224126	+	0.129399i
$905$	13.2810	−	15.1225i	0.441475	−	0.502689i
$906$	2.29484	−	2.54868i	0.0762410	−	0.0846742i
$907$	−13.6568	−	26.8030i	−0.453466	−	0.889978i	−0.998664	−	0.0516703i	$-0.983546\pi$
$907$	−13.6568	−	26.8030i	−0.453466	−	0.889978i	0.545198	−	0.838307i	$-0.316454\pi$
$908$	0.306920	−	5.85638i	0.0101855	−	0.194351i
$909$	4.65694	+	10.4597i	0.154461	+	0.346925i
$910$	16.8911	+	13.3352i	0.559935	+	0.442059i
$911$	−44.6443	−	4.69230i	−1.47913	−	0.155463i	−0.669679	−	0.742650i	$-0.733568\pi$
$911$	−44.6443	−	4.69230i	−1.47913	−	0.155463i	−0.809451	+	0.587188i	$0.800235\pi$
$912$	−3.80145	+	4.69440i	−0.125879	+	0.155447i
$913$	−65.7505	−	42.6989i	−2.17602	−	1.41313i
$914$	5.01622	−	3.64450i	0.165922	−	0.120549i
$915$	−27.8663	+	4.76804i	−0.921230	+	0.157627i
$916$	2.00763	+	9.44515i	0.0663339	+	0.312076i
$917$	−7.56813	−	6.12855i	−0.249922	−	0.202383i
$918$	−4.15198	+	3.36221i	−0.137036	+	0.110969i
$919$	−7.39015	+	34.7679i	−0.243779	+	1.14689i	0.670534	+	0.741879i	$0.266065\pi$
$919$	−7.39015	+	34.7679i	−0.243779	+	1.14689i	−0.914313	+	0.405009i	$0.867268\pi$
$920$	−4.73353	+	4.36943i	−0.156060	+	0.144056i
$921$	1.79975	−	1.62050i	0.0593038	−	0.0533974i
$922$	28.2713	−	14.4049i	0.931064	−	0.474401i
$923$	−3.43206	−	65.4876i	−0.112968	−	2.15555i
$924$	7.13092	−	4.11704i	0.234590	−	0.135441i
$925$	24.3600	−	31.6539i	0.800952	−	1.04077i
$926$	−12.4043	+	4.03041i	−0.407632	+	0.132448i
$927$	−3.39137	+	1.30182i	−0.111387	+	0.0427575i
$928$	−6.51077	+	1.03121i	−0.213727	+	0.0338510i
$929$	6.58857			0.216164			0.108082	−	0.994142i	$-0.465529\pi$
$929$	6.58857			0.216164			0.108082	+	0.994142i	$0.465529\pi$
$930$	−5.12265	−	11.3472i	−0.167978	−	0.372089i
$931$	23.8539			0.781779
$932$	28.1985	−	4.46620i	0.923672	−	0.146295i
$933$	14.2700	−	5.47776i	0.467180	−	0.179334i
$934$	−23.6228	+	7.67550i	−0.772961	+	0.251150i
$935$	31.2542	+	46.8468i	1.02212	+	1.53205i
$936$	−4.77173	+	2.75496i	−0.155969	+	0.0900488i
$937$	0.715747	+	13.6573i	0.0233824	+	0.446163i	0.985085	+	0.172068i	$0.0550449\pi$
$937$	0.715747	+	13.6573i	0.0233824	+	0.446163i	−0.961703	+	0.274095i	$0.911622\pi$
$938$	7.80235	−	3.97550i	0.254756	−	0.129805i
$939$	12.6060	−	11.3505i	0.411382	−	0.370410i
$940$	−0.820486	−	0.0328174i	−0.0267613	−	0.00107039i
$941$	−8.63646	+	40.6314i	−0.281541	+	1.32454i	0.579069	+	0.815279i	$0.303416\pi$
$941$	−8.63646	+	40.6314i	−0.281541	+	1.32454i	−0.860609	+	0.509266i	$0.829917\pi$
$942$	−6.43587	+	5.21166i	−0.209692	+	0.169805i
$943$	−19.6509	−	15.9130i	−0.639922	−	0.518199i
$944$	1.71389	+	8.06320i	0.0557823	+	0.262435i
$945$	2.25646	−	3.18804i	0.0734028	−	0.103707i
$946$	−15.6983	+	11.4055i	−0.510397	+	0.370825i
$947$	32.3706	+	21.0217i	1.05190	+	0.683113i	0.950181	−	0.311700i	$-0.100898\pi$
$947$	32.3706	+	21.0217i	1.05190	+	0.683113i	0.101721	+	0.994813i	$0.467565\pi$
$948$	3.37019	−	4.16183i	0.109459	−	0.135170i
$949$	10.8933	+	1.14494i	0.353613	+	0.0371662i
$950$	28.4561	+	10.1221i	0.923239	+	0.328405i
$951$	4.26151	+	9.57151i	0.138189	+	0.310377i
$952$	−0.488402	+	9.31927i	−0.0158292	+	0.302039i
$953$	11.3727	+	22.3201i	0.368397	+	0.723020i	0.998571	−	0.0534339i	$-0.0170166\pi$
$953$	11.3727	+	22.3201i	0.368397	+	0.723020i	−0.630174	+	0.776454i	$0.717017\pi$
$954$	8.85547	−	9.83500i	0.286706	−	0.318420i
$955$	1.83129	+	1.60828i	0.0592590	+	0.0520429i
$956$	9.88073	+	5.70464i	0.319566	+	0.184501i
$957$	14.1075	−	27.6875i	0.456031	−	0.895010i
$958$	6.78473	+	17.6748i	0.219205	+	0.571048i
$959$	25.8574	+	18.7865i	0.834980	+	0.606649i
$960$	−2.00477	−	0.990404i	−0.0647037	−	0.0319651i
$961$	30.4123	−	6.00760i	0.981042	−	0.193793i
$962$	31.1238	−	31.1238i	1.00347	−	1.00347i
$963$	1.96386	+	12.3993i	0.0632844	+	0.399562i
$964$	25.9344	+	11.5467i	0.835290	+	0.371895i
$965$	−0.295297	+	2.02655i	−0.00950594	+	0.0652369i
$966$	2.51608	−	4.35798i	0.0809535	−	0.140216i
$967$	4.53497	−	16.9247i	0.145835	−	0.544262i	−0.853882	−	0.520466i	$-0.825758\pi$
$967$	4.53497	−	16.9247i	0.145835	−	0.544262i	0.999717	−	0.0237961i	$-0.00757524\pi$
$968$	11.2065	−	0.587308i	0.360191	−	0.0188768i
$969$	30.6928	+	9.97270i	0.985995	+	0.320369i
$970$	0.730884	−	1.30293i	0.0234673	−	0.0418345i
$971$	7.63044	−	3.39729i	0.244873	−	0.109024i	−0.280631	−	0.959816i	$-0.590544\pi$
$971$	7.63044	−	3.39729i	0.244873	−	0.109024i	0.525503	+	0.850791i	$0.323877\pi$
$972$	0.544639	+	0.838671i	0.0174693	+	0.0269004i
$973$	8.67916	+	10.7179i	0.278241	+	0.343599i
$974$	−4.18901	−	39.8558i	−0.134225	−	1.27706i
$975$	20.9236	+	17.9216i	0.670092	+	0.573951i
$976$	−7.43153	−	10.2286i	−0.237878	−	0.327410i
$977$	0.503758	−	3.18061i	0.0161167	−	0.101757i	−0.978319	−	0.207105i	$-0.933596\pi$
$977$	0.503758	−	3.18061i	0.0161167	−	0.101757i	0.994435	+	0.105348i	$0.0335958\pi$
$978$	3.48819	−	5.37134i	0.111540	−	0.171757i
$979$	−9.82660	+	1.03282i	−0.314059	+	0.0330090i
$980$	1.94270	+	8.61377i	0.0620574	+	0.275157i
$981$	−8.45635	−	1.79745i	−0.269990	−	0.0573882i
$982$	17.1936	+	6.60000i	0.548669	+	0.210614i
$983$	−12.8096	−	0.671322i	−0.408562	−	0.0214118i	−0.153052	−	0.988218i	$-0.548910\pi$
$983$	−12.8096	−	0.671322i	−0.408562	−	0.0214118i	−0.255510	+	0.966806i	$0.582243\pi$
$984$	2.71227	−	8.34751i	0.0864640	−	0.266109i
$985$	−47.0770	+	18.7433i	−1.50000	+	0.597211i
$986$	17.6090	+	30.4997i	0.560786	+	0.971310i
$987$	0.619586	−	0.166018i	0.0197217	−	0.00528440i
$988$	29.6554	+	15.1102i	0.943464	+	0.480719i
$989$	−4.82334	+	10.8334i	−0.153373	+	0.344482i
$990$	9.33198	−	4.90138i	0.296590	−	0.155776i
$991$		−	36.9973i		−	1.17526i	−0.809131	−	0.587628i	$-0.800062\pi$
$991$		−	36.9973i		−	1.17526i	0.809131	−	0.587628i	$-0.199938\pi$
$992$	3.53500	−	4.30160i	0.112236	−	0.136576i
$993$	−20.8364	−	20.8364i	−0.661223	−	0.661223i
$994$	−12.2195	+	16.8186i	−0.387578	+	0.533455i
$995$	−46.5612	−	4.31154i	−1.47609	−	0.136685i
$996$	−5.13925	−	15.8170i	−0.162843	−	0.501180i
$997$	−10.3449	−	38.6077i	−0.327626	−	1.22272i	−0.911646	−	0.410977i	$-0.865188\pi$
$997$	−10.3449	−	38.6077i	−0.327626	−	1.22272i	0.584020	−	0.811740i	$-0.301479\pi$
$998$	−3.50365	−	0.938801i	−0.110906	−	0.0297172i
$999$	−5.93656	−	5.34531i	−0.187825	−	0.169118i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bt.b.43.4	yes	256
5.2	odd	4		930.2.bt.a.787.1	yes	256
31.13	odd	30		930.2.bt.a.13.1	✓	256
155.137	even	60	inner	930.2.bt.b.757.4	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bt.a.13.1	✓	256	31.13	odd	30
930.2.bt.a.787.1	yes	256	5.2	odd	4
930.2.bt.b.43.4	yes	256	1.1	even	1	trivial
930.2.bt.b.757.4	yes	256	155.137	even	60	inner

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)

\(f(q)\)	\(=\)	\(q+(-0.987688 + 0.156434i) q^{2} +(-0.933580 + 0.358368i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-0.437784 + 2.19279i) q^{5} +(0.866025 - 0.500000i) q^{6} +(0.0914165 + 1.74433i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(0.743145 - 0.669131i) q^{9} +O(q^{10})\)	\(q+(-0.987688 + 0.156434i) q^{2} +(-0.933580 + 0.358368i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-0.437784 + 2.19279i) q^{5} +(0.866025 - 0.500000i) q^{6} +(0.0914165 + 1.74433i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(0.743145 - 0.669131i) q^{9} +(0.0893656 - 2.23428i) q^{10} +(-0.980098 + 4.61100i) q^{11} +(-0.777146 + 0.629320i) q^{12} +(4.28202 + 3.46751i) q^{13} +(-0.363165 - 1.70855i) q^{14} +(-0.377120 - 2.20404i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-4.48068 - 2.90979i) q^{17} +(-0.629320 + 0.777146i) q^{18} +(6.00747 + 0.631411i) q^{19} +(0.261253 + 2.22075i) q^{20} +(-0.710457 - 1.59571i) q^{21} +(0.246712 - 4.70755i) q^{22} +(-1.30791 - 2.56691i) q^{23} +(0.669131 - 0.743145i) q^{24} +(-4.61669 - 1.91994i) q^{25} +(-4.77173 - 2.75496i) q^{26} +(-0.453990 + 0.891007i) q^{27} +(0.625970 + 1.63071i) q^{28} +(5.33298 + 3.87464i) q^{29} +(0.717265 + 2.11791i) q^{30} +(-5.54131 + 0.542073i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-0.737434 - 4.65597i) q^{33} +(4.88071 + 2.17303i) q^{34} +(-3.86498 - 0.563183i) q^{35} +(0.500000 - 0.866025i) q^{36} +(-2.06756 + 7.71624i) q^{37} +(-6.03228 + 0.316139i) q^{38} +(-5.24025 - 1.70266i) q^{39} +(-0.605439 - 2.15254i) q^{40} +(8.01827 - 3.56996i) q^{41} +(0.951335 + 1.46493i) q^{42} +(-2.59046 - 3.19895i) q^{43} +(0.492748 + 4.68819i) q^{44} +(1.14193 + 1.92250i) q^{45} +(1.69336 + 2.33070i) q^{46} +(-0.0574468 + 0.362705i) q^{47} +(-0.544639 + 0.838671i) q^{48} +(3.92732 - 0.412778i) q^{49} +(4.86020 + 1.17409i) q^{50} +(5.22586 + 1.11079i) q^{51} +(5.14396 + 1.97458i) q^{52} +(-13.2162 - 0.692629i) q^{53} +(0.309017 - 0.951057i) q^{54} +(-9.68190 - 4.16777i) q^{55} +(-0.873363 - 1.51271i) q^{56} +(-5.83473 + 1.56341i) q^{57} +(-5.87345 - 2.99267i) q^{58} +(-3.35287 + 7.53067i) q^{59} +(-1.03975 - 1.97963i) q^{60} -12.6433i q^{61} +(5.38829 - 1.40225i) q^{62} +(1.23512 + 1.23512i) q^{63} +(0.587785 - 0.809017i) q^{64} +(-9.47813 + 7.87156i) q^{65} +(1.45671 + 4.48329i) q^{66} +(1.29753 + 4.84243i) q^{67} +(-5.16056 - 1.38277i) q^{68} +(2.14093 + 1.92770i) q^{69} +(3.90550 - 0.0483670i) q^{70} +(-7.96379 - 8.84469i) q^{71} +(-0.358368 + 0.933580i) q^{72} +(1.66722 - 1.08270i) q^{73} +(0.835019 - 7.94467i) q^{74} +(4.99810 + 0.137945i) q^{75} +(5.90856 - 1.25590i) q^{76} +(-8.13270 - 1.28809i) q^{77} +(5.44209 + 0.861942i) q^{78} +(-5.23825 + 1.11343i) q^{79} +(0.934717 + 2.03133i) q^{80} +(0.104528 - 0.994522i) q^{81} +(-7.36109 + 4.78035i) q^{82} +(-5.96000 + 15.5263i) q^{83} +(-1.16879 - 1.29807i) q^{84} +(8.34214 - 8.55136i) q^{85} +(3.05900 + 2.75433i) q^{86} +(-6.36732 - 1.70612i) q^{87} +(-1.22008 - 4.55338i) q^{88} +(0.647710 + 1.99345i) q^{89} +(-1.42861 - 1.72019i) q^{90} +(-5.65704 + 7.78624i) q^{91} +(-2.03711 - 2.03711i) q^{92} +(4.97900 - 2.49190i) q^{93} -0.367226i q^{94} +(-4.01453 + 12.8967i) q^{95} +(0.406737 - 0.913545i) q^{96} +(0.595285 + 0.303313i) q^{97} +(-3.81439 + 1.02206i) q^{98} +(2.35700 + 4.08245i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 16 q^{7}+O(q^{10}) \) 256 * q + 16 * q^7	\( 256 q + 16 q^{7} + 4 q^{10} + 24 q^{14} + 8 q^{15} + 64 q^{16} - 36 q^{17} + 40 q^{19} - 12 q^{20} - 16 q^{21} + 44 q^{22} + 32 q^{24} - 28 q^{25} - 8 q^{28} + 16 q^{29} - 8 q^{31} - 4 q^{33} - 24 q^{35} + 128 q^{36} - 76 q^{37} + 28 q^{38} + 48 q^{41} - 4 q^{42} + 120 q^{43} - 4 q^{44} + 12 q^{45} - 20 q^{46} + 72 q^{47} + 40 q^{49} + 48 q^{50} - 16 q^{53} - 64 q^{54} + 36 q^{55} - 4 q^{57} - 68 q^{58} + 24 q^{59} - 20 q^{62} + 4 q^{63} + 156 q^{65} + 12 q^{66} + 44 q^{67} + 4 q^{68} - 12 q^{69} + 104 q^{70} - 48 q^{71} - 84 q^{73} - 68 q^{74} - 48 q^{75} + 48 q^{76} - 124 q^{77} + 56 q^{79} - 32 q^{81} + 16 q^{82} - 112 q^{83} + 132 q^{85} + 24 q^{86} + 32 q^{87} + 52 q^{88} + 224 q^{89} + 40 q^{91} + 64 q^{93} - 204 q^{95} + 8 q^{97} - 32 q^{98} - 4 q^{99}+O(q^{100}) \) 256 * q + 16 * 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 + 44 * q^22 + 32 * q^24 - 28 * q^25 - 8 * q^28 + 16 * q^29 - 8 * q^31 - 4 * q^33 - 24 * q^35 + 128 * q^36 - 76 * q^37 + 28 * q^38 + 48 * q^41 - 4 * q^42 + 120 * q^43 - 4 * q^44 + 12 * q^45 - 20 * q^46 + 72 * q^47 + 40 * q^49 + 48 * q^50 - 16 * q^53 - 64 * q^54 + 36 * q^55 - 4 * q^57 - 68 * q^58 + 24 * q^59 - 20 * q^62 + 4 * q^63 + 156 * q^65 + 12 * q^66 + 44 * q^67 + 4 * q^68 - 12 * q^69 + 104 * q^70 - 48 * q^71 - 84 * q^73 - 68 * q^74 - 48 * q^75 + 48 * q^76 - 124 * q^77 + 56 * q^79 - 32 * q^81 + 16 * q^82 - 112 * q^83 + 132 * q^85 + 24 * q^86 + 32 * q^87 + 52 * q^88 + 224 * q^89 + 40 * q^91 + 64 * q^93 - 204 * q^95 + 8 * q^97 - 32 * q^98 - 4 * q^99

Introduction

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