LMFDB - Embedded newform 930.2.bj.b.277.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, 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:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.12
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.b.883.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.869928 + 2.05991i) q^{5} +1.00000i q^{6} +(-2.25496 + 4.42561i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.869928 + 2.05991i) q^{5} +1.00000i q^{6} +(-2.25496 + 4.42561i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.17063 - 0.536977i) q^{10} +(2.01350 - 0.654225i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-1.55371 - 0.246084i) q^{13} +(-4.72388 - 1.53488i) q^{14} +(-1.18146 + 1.89846i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-0.627543 - 1.23162i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(0.885929 - 1.21938i) q^{19} +(0.190804 - 2.22791i) q^{20} +(-2.91952 + 4.01837i) q^{21} +(0.961150 + 1.88636i) q^{22} +(-4.82256 + 2.45721i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(-3.48645 - 3.58394i) q^{25} -1.57308i q^{26} +(0.891007 + 0.453990i) q^{27} +(0.777007 - 4.90583i) q^{28} +(-1.95173 - 1.41802i) q^{29} +(-2.05991 - 0.869928i) q^{30} +(4.94556 - 2.55762i) q^{31} +(0.707107 + 0.707107i) q^{32} +(2.09105 - 0.331190i) q^{33} +(1.11829 - 0.812485i) q^{34} +(-7.15470 - 8.49498i) q^{35} -1.00000 q^{36} +(-4.72481 + 4.72481i) q^{37} +(1.34295 + 0.684269i) q^{38} +(-1.49609 - 0.486109i) q^{39} +(2.23033 - 0.160068i) q^{40} +(7.33477 + 5.32902i) q^{41} +(-4.42561 - 2.25496i) q^{42} +(-0.855962 - 5.40433i) q^{43} +(-1.71278 + 1.24441i) q^{44} +(-1.46390 + 1.69027i) q^{45} +(-3.18138 - 4.37879i) q^{46} +(1.14668 + 0.181616i) q^{47} +(0.891007 - 0.453990i) q^{48} +(-10.3867 - 14.2960i) q^{49} +(2.99442 - 4.00418i) q^{50} +(-0.427149 - 1.31463i) q^{51} +(1.55371 - 0.246084i) q^{52} +(-5.91418 + 3.01342i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-0.403953 + 4.71675i) q^{55} +4.96698 q^{56} +(1.06577 - 1.06577i) q^{57} +(1.09524 - 2.14953i) q^{58} +(7.47934 + 10.2944i) q^{59} +(0.536977 - 2.17063i) q^{60} +4.29814i q^{61} +(3.29978 + 4.48458i) q^{62} +(-3.51218 + 3.51218i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(1.85853 - 2.98643i) q^{65} +(0.654225 + 2.01350i) q^{66} +(-3.86172 - 3.86172i) q^{67} +(0.977421 + 0.977421i) q^{68} +(-5.14757 + 1.67255i) q^{69} +(7.27115 - 8.39552i) q^{70} +(-4.19110 + 12.8989i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(-5.18998 + 10.1859i) q^{73} +(-5.40576 - 3.92752i) q^{74} +(-2.88287 - 4.08522i) q^{75} +(-0.465760 + 1.43346i) q^{76} +(-1.64501 + 10.3862i) q^{77} +(0.246084 - 1.55371i) q^{78} +(1.62876 - 5.01280i) q^{79} +(0.506998 + 2.17783i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-4.11600 + 8.07811i) q^{82} +(0.259930 + 1.64113i) q^{83} +(1.53488 - 4.72388i) q^{84} +(3.08295 - 0.221259i) q^{85} +(5.20389 - 1.69085i) q^{86} +(-1.70588 - 1.70588i) q^{87} +(-1.49703 - 1.49703i) q^{88} +(3.43057 + 10.5582i) q^{89} +(-1.89846 - 1.18146i) q^{90} +(4.59264 - 6.32122i) q^{91} +(3.82720 - 3.82720i) q^{92} +(5.28478 - 1.75247i) q^{93} +1.16097i q^{94} +(1.74111 + 2.88570i) q^{95} +(0.587785 + 0.809017i) q^{96} +(4.88746 - 9.59218i) q^{97} +(12.4952 - 12.4952i) q^{98} +2.11712 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	−0.869928	+	2.05991i	−0.389044	+	0.921219i
$5$	−0.869928	+	2.05991i	−0.389044	+	0.921219i
$6$			1.00000i			0.408248i
$7$	−2.25496	+	4.42561i	−0.852295	+	1.67272i	−0.118915	+	0.992904i	$0.537942\pi$
$7$	−2.25496	+	4.42561i	−0.852295	+	1.67272i	−0.733380	+	0.679819i	$0.762058\pi$
$8$	−0.453990	−	0.891007i	−0.160510	−	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−2.17063	−	0.536977i	−0.686415	−	0.169807i
$11$	2.01350	−	0.654225i	0.607092	−	0.197256i	0.0106910	−	0.999943i	$-0.496597\pi$
$11$	2.01350	−	0.654225i	0.607092	−	0.197256i	0.596401	+	0.802687i	$0.296597\pi$
$12$	−0.987688	+	0.156434i	−0.285121	+	0.0451587i
$13$	−1.55371	−	0.246084i	−0.430923	−	0.0682515i	−0.0627945	−	0.998026i	$-0.520001\pi$
$13$	−1.55371	−	0.246084i	−0.430923	−	0.0682515i	−0.368128	+	0.929775i	$0.620001\pi$
$14$	−4.72388	−	1.53488i	−1.26251	−	0.410214i
$15$	−1.18146	+	1.89846i	−0.305051	+	0.490181i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	−0.627543	−	1.23162i	−0.152201	−	0.298712i	0.802299	−	0.596923i	$-0.203610\pi$
$17$	−0.627543	−	1.23162i	−0.152201	−	0.298712i	−0.954500	+	0.298211i	$0.903610\pi$
$18$	−0.156434	+	0.987688i	−0.0368720	+	0.232800i
$19$	0.885929	−	1.21938i	0.203246	−	0.279744i	−0.695211	−	0.718806i	$-0.744689\pi$
$19$	0.885929	−	1.21938i	0.203246	−	0.279744i	0.898457	+	0.439062i	$0.144689\pi$
$20$	0.190804	−	2.22791i	0.0426650	−	0.498176i
$21$	−2.91952	+	4.01837i	−0.637091	+	0.876880i
$22$	0.961150	+	1.88636i	0.204918	+	0.402174i
$23$	−4.82256	+	2.45721i	−1.00557	+	0.512365i	−0.877590	−	0.479412i	$-0.840850\pi$
$23$	−4.82256	+	2.45721i	−1.00557	+	0.512365i	−0.127982	+	0.991776i	$0.540850\pi$
$24$	−0.309017	−	0.951057i	−0.0630778	−	0.194134i
$25$	−3.48645	−	3.58394i	−0.697290	−	0.716789i
$26$		−	1.57308i		−	0.308507i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	0.777007	−	4.90583i	0.146840	−	0.927114i
$29$	−1.95173	−	1.41802i	−0.362428	−	0.263319i	0.391636	−	0.920120i	$-0.371909\pi$
$29$	−1.95173	−	1.41802i	−0.362428	−	0.263319i	−0.754064	+	0.656801i	$0.771909\pi$
$30$	−2.05991	−	0.869928i	−0.376086	−	0.158826i
$31$	4.94556	−	2.55762i	0.888250	−	0.459361i
$31$	4.94556	−	2.55762i	0.888250	−	0.459361i
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	2.09105	−	0.331190i	0.364005	−	0.0576527i
$34$	1.11829	−	0.812485i	0.191785	−	0.139340i
$35$	−7.15470	−	8.49498i	−1.20937	−	1.43591i
$36$	−1.00000			−0.166667
$37$	−4.72481	+	4.72481i	−0.776754	+	0.776754i	−0.979277	−	0.202523i	$-0.935086\pi$
$37$	−4.72481	+	4.72481i	−0.776754	+	0.776754i	0.202523	+	0.979277i	$0.435086\pi$
$38$	1.34295	+	0.684269i	0.217856	+	0.111003i
$39$	−1.49609	−	0.486109i	−0.239566	−	0.0778397i
$40$	2.23033	−	0.160068i	0.352646	−	0.0253089i
$41$	7.33477	+	5.32902i	1.14550	+	0.832253i	0.987876	−	0.155246i	$-0.0496172\pi$
$41$	7.33477	+	5.32902i	1.14550	+	0.832253i	0.157622	+	0.987499i	$0.449617\pi$
$42$	−4.42561	−	2.25496i	−0.682886	−	0.347948i
$43$	−0.855962	−	5.40433i	−0.130533	−	0.824152i	−0.962886	−	0.269907i	$-0.913007\pi$
$43$	−0.855962	−	5.40433i	−0.130533	−	0.824152i	0.832353	−	0.554245i	$-0.186993\pi$
$44$	−1.71278	+	1.24441i	−0.258212	+	0.187602i
$45$	−1.46390	+	1.69027i	−0.218225	+	0.251970i
$46$	−3.18138	−	4.37879i	−0.469068	−	0.645617i
$47$	1.14668	+	0.181616i	0.167261	+	0.0264915i	0.239503	−	0.970896i	$-0.423016\pi$
$47$	1.14668	+	0.181616i	0.167261	+	0.0264915i	−0.0722424	+	0.997387i	$0.523016\pi$
$48$	0.891007	−	0.453990i	0.128606	−	0.0655279i
$49$	−10.3867	−	14.2960i	−1.48381	−	2.04229i
$50$	2.99442	−	4.00418i	0.423475	−	0.566277i
$51$	−0.427149	−	1.31463i	−0.0598128	−	0.184085i
$52$	1.55371	−	0.246084i	0.215461	−	0.0341257i
$53$	−5.91418	+	3.01342i	−0.812375	+	0.413926i	−0.810259	−	0.586072i	$-0.800673\pi$
$53$	−5.91418	+	3.01342i	−0.812375	+	0.413926i	−0.00211582	+	0.999998i	$0.500673\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	−0.403953	+	4.71675i	−0.0544690	+	0.636006i
$56$	4.96698			0.663740
$57$	1.06577	−	1.06577i	0.141165	−	0.141165i
$58$	1.09524	−	2.14953i	0.143812	−	0.282247i
$59$	7.47934	+	10.2944i	0.973727	+	1.34022i	0.940141	+	0.340785i	$0.110693\pi$
$59$	7.47934	+	10.2944i	0.973727	+	1.34022i	0.0335861	+	0.999436i	$0.489307\pi$
$60$	0.536977	−	2.17063i	0.0693234	−	0.280228i
$61$			4.29814i			0.550320i	0.961398	+	0.275160i	$0.0887308\pi$
$61$			4.29814i			0.550320i	−0.961398	+	0.275160i	$0.911269\pi$
$62$	3.29978	+	4.48458i	0.419073	+	0.569542i
$63$	−3.51218	+	3.51218i	−0.442494	+	0.442494i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	1.85853	−	2.98643i	0.230522	−	0.370422i
$66$	0.654225	+	2.01350i	0.0805295	+	0.247844i
$67$	−3.86172	−	3.86172i	−0.471784	−	0.471784i	0.430708	−	0.902491i	$-0.358264\pi$
$67$	−3.86172	−	3.86172i	−0.471784	−	0.471784i	−0.902491	+	0.430708i	$0.858264\pi$
$68$	0.977421	+	0.977421i	0.118530	+	0.118530i
$69$	−5.14757	+	1.67255i	−0.619695	+	0.201351i
$70$	7.27115	−	8.39552i	0.869068	−	1.00346i
$71$	−4.19110	+	12.8989i	−0.497392	+	1.53082i	0.315803	+	0.948825i	$0.397726\pi$
$71$	−4.19110	+	12.8989i	−0.497392	+	1.53082i	−0.813195	+	0.581991i	$0.802274\pi$
$72$	−0.156434	−	0.987688i	−0.0184360	−	0.116400i
$73$	−5.18998	+	10.1859i	−0.607441	+	1.19217i	0.358529	+	0.933519i	$0.383278\pi$
$73$	−5.18998	+	10.1859i	−0.607441	+	1.19217i	−0.965970	+	0.258652i	$0.916722\pi$
$74$	−5.40576	−	3.92752i	−0.628407	−	0.456565i
$75$	−2.88287	−	4.08522i	−0.332886	−	0.471721i
$76$	−0.465760	+	1.43346i	−0.0534264	+	0.164430i
$77$	−1.64501	+	10.3862i	−0.187467	+	1.18362i
$78$	0.246084	−	1.55371i	0.0278635	−	0.175923i
$79$	1.62876	−	5.01280i	0.183250	−	0.563984i	−0.816664	−	0.577113i	$-0.804179\pi$
$79$	1.62876	−	5.01280i	0.183250	−	0.563984i	0.999914	+	0.0131288i	$0.00417916\pi$
$80$	0.506998	+	2.17783i	0.0566841	+	0.243489i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−4.11600	+	8.07811i	−0.454536	+	0.892078i
$83$	0.259930	+	1.64113i	0.0285310	+	0.180138i	0.997839	−	0.0657138i	$-0.0209324\pi$
$83$	0.259930	+	1.64113i	0.0285310	+	0.180138i	−0.969308	+	0.245852i	$0.920932\pi$
$84$	1.53488	−	4.72388i	0.167469	−	0.515417i
$85$	3.08295	−	0.221259i	0.334392	−	0.0239989i
$86$	5.20389	−	1.69085i	0.561150	−	0.182329i
$87$	−1.70588	−	1.70588i	−0.182889	−	0.182889i
$88$	−1.49703	−	1.49703i	−0.159584	−	0.159584i
$89$	3.43057	+	10.5582i	0.363640	+	1.11917i	0.950828	+	0.309718i	$0.100235\pi$
$89$	3.43057	+	10.5582i	0.363640	+	1.11917i	−0.587189	+	0.809450i	$0.699765\pi$
$90$	−1.89846	−	1.18146i	−0.200115	−	0.124537i
$91$	4.59264	−	6.32122i	0.481439	−	0.662644i
$92$	3.82720	−	3.82720i	0.399013	−	0.399013i
$93$	5.28478	−	1.75247i	0.548006	−	0.181723i
$94$			1.16097i			0.119745i
$95$	1.74111	+	2.88570i	0.178634	+	0.296067i
$96$	0.587785	+	0.809017i	0.0599906	+	0.0825700i
$97$	4.88746	−	9.59218i	0.496247	−	0.973939i	−0.498036	−	0.867156i	$-0.665945\pi$
$97$	4.88746	−	9.59218i	0.496247	−	0.973939i	0.994282	−	0.106782i	$-0.0340548\pi$
$98$	12.4952	−	12.4952i	1.26221	−	1.26221i
$99$	2.11712			0.212778
$100$	4.42331	+	2.33116i	0.442331	+	0.233116i
$101$	1.52688	−	4.69924i	0.151930	−	0.467592i	−0.845907	−	0.533330i	$-0.820940\pi$
$101$	1.52688	−	4.69924i	0.151930	−	0.467592i	0.997837	+	0.0657385i	$0.0209403\pi$
$102$	1.23162	−	0.627543i	0.121949	−	0.0621360i
$103$	−4.41190	+	0.698776i	−0.434717	+	0.0688524i	−0.369958	−	0.929048i	$-0.620628\pi$
$103$	−4.41190	+	0.698776i	−0.434717	+	0.0688524i	−0.0647592	+	0.997901i	$0.520628\pi$
$104$	0.486109	+	1.49609i	0.0476669	+	0.146704i
$105$	−5.73771	−	9.50963i	−0.559943	−	0.928045i
$106$	−3.90150	−	5.36996i	−0.378948	−	0.521577i
$107$	−10.3387	+	5.26783i	−0.999480	+	0.509260i	−0.875600	−	0.483037i	$-0.839534\pi$
$107$	−10.3387	+	5.26783i	−0.999480	+	0.509260i	−0.123880	+	0.992297i	$0.539534\pi$
$108$	−0.987688	−	0.156434i	−0.0950404	−	0.0150529i
$109$	9.43756	+	12.9897i	0.903954	+	1.24419i	0.969190	+	0.246316i	$0.0792201\pi$
$109$	9.43756	+	12.9897i	0.903954	+	1.24419i	−0.0652356	+	0.997870i	$0.520780\pi$
$110$	−4.72187	+	0.338882i	−0.450212	+	0.0323111i
$111$	−5.40576	+	3.92752i	−0.513092	+	0.372783i
$112$	0.777007	+	4.90583i	0.0734202	+	0.463557i
$113$	17.7511	+	9.04466i	1.66989	+	0.850850i	0.993439	+	0.114360i	$0.0364817\pi$
$113$	17.7511	+	9.04466i	1.66989	+	0.850850i	0.676448	+	0.736490i	$0.263518\pi$
$114$	1.21938	+	0.885929i	0.114205	+	0.0829749i
$115$	−0.866364	−	12.0716i	−0.0807888	−	1.12568i
$116$	2.29440	+	0.745496i	0.213030	+	0.0692176i
$117$	−1.40163	−	0.714164i	−0.129580	−	0.0660245i
$118$	−8.99766	+	8.99766i	−0.828302	+	0.828302i
$119$	6.86576			0.629383
$120$	2.22791	+	0.190804i	0.203380	+	0.0174179i
$121$	−5.27303	+	3.83108i	−0.479366	+	0.348280i
$122$	−4.24522	+	0.672377i	−0.384344	+	0.0608741i
$123$	6.41082	+	6.41082i	0.578044	+	0.578044i
$124$	−3.91316	+	3.96070i	−0.351413	+	0.355681i
$125$	10.4156	−	4.06400i	0.931596	−	0.363495i
$126$	−4.01837	−	2.91952i	−0.357985	−	0.260091i
$127$	2.57477	−	16.2564i	0.228474	−	1.44253i	−0.560529	−	0.828135i	$-0.689402\pi$
$127$	2.57477	−	16.2564i	0.228474	−	1.44253i	0.789002	−	0.614390i	$-0.210598\pi$
$128$	−0.891007	−	0.453990i	−0.0787546	−	0.0401275i
$129$		−	5.47169i		−	0.481756i
$130$	3.24040	+	1.36847i	0.284202	+	0.120023i
$131$	−1.11974	−	3.44621i	−0.0978323	−	0.301097i	0.890149	−	0.455669i	$-0.150600\pi$
$131$	−1.11974	−	3.44621i	−0.0978323	−	0.301097i	−0.987981	+	0.154572i	$0.950600\pi$
$132$	−1.88636	+	0.961150i	−0.164187	+	0.0836574i
$133$	3.39875	+	6.67042i	0.294709	+	0.578399i
$134$	3.21007	−	4.41828i	0.277307	−	0.381681i
$135$	−1.71029	+	1.44045i	−0.147198	+	0.123974i
$136$	−0.812485	+	1.11829i	−0.0696700	+	0.0958925i
$137$	2.58978	−	16.3512i	0.221260	−	1.39698i	−0.587682	−	0.809092i	$-0.699959\pi$
$137$	2.58978	−	16.3512i	0.221260	−	1.39698i	0.808942	−	0.587888i	$-0.200041\pi$
$138$	−2.45721	−	4.82256i	−0.209172	−	0.410523i
$139$	4.68114	−	3.40105i	0.397049	−	0.288473i	−0.371289	−	0.928517i	$-0.621084\pi$
$139$	4.68114	−	3.40105i	0.397049	−	0.288473i	0.768338	+	0.640044i	$0.221084\pi$
$140$	9.42962	+	5.86828i	0.796948	+	0.495960i
$141$	1.10415	+	0.358761i	0.0929864	+	0.0302131i
$142$	−13.3957	−	2.12167i	−1.12414	−	0.178047i
$143$	−3.28939	+	0.520989i	−0.275073	+	0.0435672i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	4.61885	−	2.78682i	0.383575	−	0.231433i
$146$	−10.8724	−	3.53266i	−0.899806	−	0.292365i
$147$	−8.02241	−	15.7449i	−0.661677	−	1.29861i
$148$	3.03352	−	5.95361i	0.249353	−	0.489384i
$149$			3.71633i			0.304454i	0.988346	+	0.152227i	$0.0486445\pi$
$149$			3.71633i			0.304454i	−0.988346	+	0.152227i	$0.951356\pi$
$150$	3.58394	−	3.48645i	0.292628	−	0.284668i
$151$	9.89715	−	3.21578i	0.805419	−	0.261697i	0.122763	−	0.992436i	$-0.460825\pi$
$151$	9.89715	−	3.21578i	0.805419	−	0.261697i	0.682656	+	0.730740i	$0.260825\pi$
$152$	−1.48868	−	0.235783i	−0.120748	−	0.0191245i
$153$	−0.216236	−	1.36526i	−0.0174817	−	0.110375i
$154$	−10.5157			−0.847376
$155$	0.966171	+	12.4124i	0.0776047	+	0.996984i
$156$	1.57308			0.125947
$157$	1.35473	+	8.55341i	0.108119	+	0.682636i	0.980898	+	0.194521i	$0.0623153\pi$
$157$	1.35473	+	8.55341i	0.108119	+	0.682636i	−0.872779	+	0.488115i	$0.837685\pi$
$158$	5.20588	+	0.824530i	0.414158	+	0.0655961i
$159$	−6.31277	+	2.05114i	−0.500635	+	0.162666i
$160$	−2.07171	+	0.841444i	−0.163783	+	0.0665220i
$161$		−	26.8837i		−	2.11873i
$162$	−0.453990	+	0.891007i	−0.0356689	+	0.0700041i
$163$	0.919645	+	1.80490i	0.0720321	+	0.141371i	0.924214	−	0.381874i	$-0.124721\pi$
$163$	0.919645	+	1.80490i	0.0720321	+	0.141371i	−0.852182	+	0.523245i	$0.824721\pi$
$164$	−8.62253	−	2.80163i	−0.673307	−	0.218771i
$165$	−1.13684	+	4.59548i	−0.0885030	+	0.357758i
$166$	−1.58027	+	0.513459i	−0.122652	+	0.0398522i
$167$	−9.75150	+	1.54449i	−0.754594	+	0.119516i	−0.521868	−	0.853026i	$-0.674765\pi$
$167$	−9.75150	+	1.54449i	−0.754594	+	0.119516i	−0.232726	+	0.972542i	$0.574765\pi$
$168$	4.90583	+	0.777007i	0.378493	+	0.0599474i
$169$	−10.0103	−	3.25253i	−0.770020	−	0.250195i
$170$	0.700814	+	3.01038i	0.0537500	+	0.230885i
$171$	1.21938	−	0.885929i	0.0932481	−	0.0677487i
$172$	2.48410	+	4.87532i	0.189411	+	0.371739i
$173$	−1.52305	+	9.61617i	−0.115795	+	0.731104i	0.859653	+	0.510878i	$0.170679\pi$
$173$	−1.52305	+	9.61617i	−0.115795	+	0.731104i	−0.975449	+	0.220226i	$0.929321\pi$
$174$	1.41802	−	1.95173i	0.107500	−	0.147961i
$175$	23.7230	−	7.34802i	1.79329	−	0.555458i
$176$	1.24441	−	1.71278i	0.0938009	−	0.129106i
$177$	5.77685	+	11.3377i	0.434215	+	0.852195i
$178$	−9.89156	+	5.04000i	−0.741404	+	0.377764i
$179$	4.92151	+	15.1469i	0.367851	+	1.13213i	0.948176	+	0.317744i	$0.102925\pi$
$179$	4.92151	+	15.1469i	0.367851	+	1.13213i	−0.580325	+	0.814385i	$0.697075\pi$
$180$	0.869928	−	2.05991i	0.0648406	−	0.153537i
$181$		−	4.63944i		−	0.344847i	−0.985023	−	0.172423i	$-0.944840\pi$
$181$		−	4.63944i		−	0.344847i	0.985023	−	0.172423i	$-0.0551597\pi$
$182$	6.96184	+	3.54724i	0.516046	+	0.262939i
$183$	−0.672377	+	4.24522i	−0.0497035	+	0.313816i
$184$	4.37879	+	3.18138i	0.322809	+	0.234534i
$185$	−5.62244	−	13.8429i	−0.413370	−	1.01775i
$186$	2.55762	+	4.94556i	0.187533	+	0.362626i
$187$	−2.06931	−	2.06931i	−0.151323	−	0.151323i
$188$	−1.14668	+	0.181616i	−0.0836303	+	0.0132457i
$189$	−4.01837	+	2.91952i	−0.292293	+	0.212364i
$190$	−2.57781	+	2.17110i	−0.187014	+	0.157508i
$191$	15.9431			1.15360			0.576800	−	0.816886i	$-0.304301\pi$
$191$	15.9431			1.15360			0.576800	+	0.816886i	$0.304301\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	18.3228	+	9.33592i	1.31890	+	0.672014i	0.964749	−	0.263173i	$-0.0847691\pi$
$193$	18.3228	+	9.33592i	1.31890	+	0.672014i	0.354153	+	0.935187i	$0.384769\pi$
$194$	10.2387	+	3.32674i	0.735093	+	0.238846i
$195$	2.30283	−	2.65893i	0.164909	−	0.190410i
$196$	14.2960	+	10.3867i	1.02115	+	0.741906i
$197$	13.0623	+	6.65559i	0.930652	+	0.474191i	0.852486	−	0.522750i	$-0.175094\pi$
$197$	13.0623	+	6.65559i	0.930652	+	0.474191i	0.0781656	+	0.996940i	$0.475094\pi$
$198$	0.331190	+	2.09105i	0.0235366	+	0.148604i
$199$	−0.965391	+	0.701398i	−0.0684348	+	0.0497208i	−0.621477	−	0.783433i	$-0.713467\pi$
$199$	−0.965391	+	0.701398i	−0.0684348	+	0.0497208i	0.553042	+	0.833153i	$0.313467\pi$
$200$	−1.61050	+	4.73353i	−0.113880	+	0.334711i
$201$	−3.21007	−	4.41828i	−0.226421	−	0.311641i
$202$	4.88024	+	0.772954i	0.343372	+	0.0543849i
$203$	10.6767	−	5.44004i	0.749356	−	0.381816i
$204$	0.812485	+	1.11829i	0.0568853	+	0.0782959i
$205$	−17.3580	+	10.4731i	−1.21234	+	0.731472i
$206$	−1.38035	−	4.24827i	−0.0961733	−	0.295991i
$207$	−5.34584	+	0.846698i	−0.371562	+	0.0588496i
$208$	−1.40163	+	0.714164i	−0.0971853	+	0.0495184i
$209$	0.986069	−	3.03481i	0.0682078	−	0.209922i
$210$	8.49498	−	7.15470i	0.586209	−	0.493721i
$211$	−2.50112			−0.172184			−0.0860920	−	0.996287i	$-0.527438\pi$
$211$	−2.50112			−0.172184			−0.0860920	+	0.996287i	$0.527438\pi$
$212$	4.69352	−	4.69352i	0.322352	−	0.322352i
$213$	−6.15733	+	12.0844i	−0.421894	+	0.828013i
$214$	−6.82030	−	9.38734i	−0.466226	−	0.641705i
$215$	11.8771	+	2.93817i	0.810008	+	0.200382i
$216$		−	1.00000i		−	0.0680414i
$217$	0.166953	+	27.6545i	0.0113335	+	1.87731i
$218$	−11.3534	+	11.3534i	−0.768949	+	0.768949i
$219$	−6.71951	+	9.24862i	−0.454063	+	0.624963i
$220$	−1.07337	−	4.61072i	−0.0723668	−	0.310855i
$221$	0.671939	+	2.06802i	0.0451995	+	0.139110i
$222$	−4.72481	−	4.72481i	−0.317109	−	0.317109i
$223$	9.67571	+	9.67571i	0.647934	+	0.647934i	0.952493	−	0.304560i	$-0.0985093\pi$
$223$	9.67571	+	9.67571i	0.647934	+	0.647934i	−0.304560	+	0.952493i	$0.598509\pi$
$224$	−4.72388	+	1.53488i	−0.315627	+	0.102554i
$225$	−2.20831	−	4.48591i	−0.147221	−	0.299060i
$226$	−6.15642	+	18.9475i	−0.409519	+	1.26037i
$227$	0.0525499	+	0.331787i	0.00348786	+	0.0220215i	0.989371	−	0.145414i	$-0.0464514\pi$
$227$	0.0525499	+	0.331787i	0.00348786	+	0.0220215i	−0.985883	+	0.167435i	$0.946451\pi$
$228$	−0.684269	+	1.34295i	−0.0453168	+	0.0889393i
$229$	−18.3976	−	13.3667i	−1.21575	−	0.883293i	−0.220009	−	0.975498i	$-0.570609\pi$
$229$	−18.3976	−	13.3667i	−1.21575	−	0.883293i	−0.995740	+	0.0922046i	$0.970609\pi$
$230$	11.7875	−	2.74412i	0.777243	−	0.180942i
$231$	−3.24952	+	10.0010i	−0.213803	+	0.658017i
$232$	−0.377394	+	2.38277i	−0.0247772	+	0.156437i
$233$	−0.733862	+	4.63342i	−0.0480769	+	0.303546i	−0.999996	−	0.00280372i	$-0.999108\pi$
$233$	−0.733862	+	4.63342i	−0.0480769	+	0.303546i	0.951919	+	0.306349i	$0.0991075\pi$
$234$	0.486109	−	1.49609i	0.0317779	−	0.0978024i
$235$	−1.37164	+	2.20406i	−0.0894761	+	0.143777i
$236$	−10.2944	−	7.47934i	−0.670110	−	0.486864i
$237$	2.39288	−	4.69629i	0.155434	−	0.305057i
$238$	1.07404	+	6.78123i	0.0696198	+	0.439562i
$239$	−1.30662	+	4.02136i	−0.0845182	+	0.260120i	−0.984381	−	0.176054i	$-0.943667\pi$
$239$	−1.30662	+	4.02136i	−0.0845182	+	0.260120i	0.899862	+	0.436174i	$0.143667\pi$
$240$	0.160068	+	2.23033i	0.0103323	+	0.143967i
$241$	−5.13363	+	1.66802i	−0.330686	+	0.107446i	−0.469654	−	0.882850i	$-0.655621\pi$
$241$	−5.13363	+	1.66802i	−0.330686	+	0.107446i	0.138968	+	0.990297i	$0.455621\pi$
$242$	−4.60880	−	4.60880i	−0.296265	−	0.296265i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	−1.32820	−	4.08777i	−0.0850291	−	0.261693i
$245$	38.4842	−	8.95909i	2.45866	−	0.572375i
$246$	−5.32902	+	7.33477i	−0.339766	+	0.467648i
$247$	−1.67655	+	1.67655i	−0.106676	+	0.106676i
$248$	−4.52409	−	3.24540i	−0.287280	−	0.206083i
$249$			1.66159i			0.105299i
$250$	5.64332	+	9.65158i	0.356915	+	0.610419i
$251$	−14.5420	−	20.0154i	−0.917886	−	1.26336i	−0.964401	−	0.264444i	$-0.914812\pi$
$251$	−14.5420	−	20.0154i	−0.917886	−	1.26336i	0.0465154	−	0.998918i	$-0.485188\pi$
$252$	2.25496	−	4.42561i	0.142049	−	0.278787i
$253$	−8.10263	+	8.10263i	−0.509408	+	0.509408i
$254$	16.4591			1.03273
$255$	3.07960	+	0.263744i	0.192852	+	0.0165163i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−6.30380	+	3.21195i	−0.393220	+	0.200356i	−0.639410	−	0.768866i	$-0.720821\pi$
$257$	−6.30380	+	3.21195i	−0.393220	+	0.200356i	0.246190	+	0.969222i	$0.420821\pi$
$258$	5.40433	−	0.855962i	0.336459	−	0.0532898i
$259$	−10.2559	−	31.5644i	−0.637271	−	1.96132i
$260$	−0.844708	+	3.41459i	−0.0523866	+	0.211764i
$261$	−1.41802	−	1.95173i	−0.0877731	−	0.120809i
$262$	3.22862	−	1.64506i	0.199465	−	0.101632i
$263$	9.95315	+	1.57642i	0.613738	+	0.0972065i	0.455561	−	0.890204i	$-0.349439\pi$
$263$	9.95315	+	1.57642i	0.613738	+	0.0972065i	0.158176	+	0.987411i	$0.449439\pi$
$264$	−1.24441	−	1.71278i	−0.0765881	−	0.105414i
$265$	−1.06247	−	14.8041i	−0.0652671	−	0.909410i
$266$	−6.05662	+	4.40039i	−0.371355	+	0.269805i
$267$	1.73667	+	10.9649i	0.106282	+	0.671040i
$268$	4.86605	+	2.47937i	0.297241	+	0.151452i
$269$	19.3367	+	14.0490i	1.17898	+	0.856580i	0.992056	−	0.125795i	$-0.0401480\pi$
$269$	19.3367	+	14.0490i	1.17898	+	0.856580i	0.186925	+	0.982374i	$0.440148\pi$
$270$	−1.69027	−	1.46390i	−0.102866	−	0.0890900i
$271$	−26.2201	−	8.51944i	−1.59276	−	0.517519i	−0.627457	−	0.778651i	$-0.715904\pi$
$271$	−26.2201	−	8.51944i	−1.59276	−	0.517519i	−0.965303	+	0.261132i	$0.915904\pi$
$272$	−1.23162	−	0.627543i	−0.0746780	−	0.0380504i
$273$	5.52495	−	5.52495i	0.334385	−	0.334385i
$274$	16.5551			1.00013
$275$	−9.36466	−	4.93534i	−0.564710	−	0.297612i
$276$	4.37879	−	3.18138i	0.263572	−	0.191496i
$277$	−8.77318	+	1.38954i	−0.527130	+	0.0834891i	−0.414327	−	0.910128i	$-0.635983\pi$
$277$	−8.77318	+	1.38954i	−0.527130	+	0.0834891i	−0.112803	+	0.993617i	$0.535983\pi$
$278$	4.09147	+	4.09147i	0.245390	+	0.245390i
$279$	5.49386	−	0.904173i	0.328909	−	0.0541314i
$280$	−4.32091	+	10.2315i	−0.258224	+	0.611450i
$281$	20.9530	+	15.2232i	1.24995	+	0.908143i	0.998219	−	0.0596544i	$-0.0189999\pi$
$281$	20.9530	+	15.2232i	1.24995	+	0.908143i	0.251732	+	0.967797i	$0.419000\pi$
$282$	−0.181616	+	1.14668i	−0.0108151	+	0.0682838i
$283$	10.0642	+	5.12796i	0.598254	+	0.304826i	0.726769	−	0.686882i	$-0.241021\pi$
$283$	10.0642	+	5.12796i	0.598254	+	0.304826i	−0.128515	+	0.991708i	$0.541021\pi$
$284$		−	13.5627i		−	0.804798i
$285$	1.26825	+	3.12255i	0.0751247	+	0.184964i
$286$	−1.02915	−	3.16739i	−0.0608548	−	0.187292i
$287$	−40.1238	+	20.4441i	−2.36843	+	1.20678i
$288$	0.453990	+	0.891007i	0.0267516	+	0.0525031i
$289$	8.86927	−	12.2075i	0.521722	−	0.718088i
$290$	3.47506	+	4.12603i	0.204062	+	0.242289i
$291$	6.32784	−	8.70952i	0.370944	−	0.510561i
$292$	1.78835	−	11.2912i	0.104655	−	0.660766i
$293$	5.91262	+	11.6042i	0.345419	+	0.677923i	0.996723	−	0.0808940i	$-0.0257775\pi$
$293$	5.91262	+	11.6042i	0.345419	+	0.677923i	−0.651303	+	0.758817i	$0.725778\pi$
$294$	14.2960	−	10.3867i	0.833762	−	0.605763i
$295$	−27.7121	+	6.45135i	−1.61346	+	0.375612i
$296$	6.35486	+	2.06482i	0.369369	+	0.120015i
$297$	2.09105	+	0.331190i	0.121335	+	0.0192176i
$298$	−3.67058	+	0.581363i	−0.212631	+	0.0336774i
$299$	8.09755	−	2.63105i	0.468294	−	0.152158i
$300$	4.00418	+	2.99442i	0.231181	+	0.172883i
$301$	25.8476	+	8.39840i	1.48983	+	0.484076i
$302$	4.72445	+	9.27225i	0.271861	+	0.533558i
$303$	2.24320	−	4.40253i	0.128868	−	0.252919i
$304$		−	1.50723i		−	0.0864457i
$305$	−8.85377	−	3.73907i	−0.506965	−	0.214098i
$306$	1.31463	−	0.427149i	0.0751523	−	0.0244185i
$307$	15.5660	+	2.46541i	0.888397	+	0.140708i	0.583920	−	0.811811i	$-0.301518\pi$
$307$	15.5660	+	2.46541i	0.888397	+	0.140708i	0.304477	+	0.952520i	$0.401518\pi$
$308$	−1.64501	−	10.3862i	−0.0937333	−	0.591809i
$309$	−4.46689			−0.254113
$310$	−12.1084	+	2.89600i	−0.687711	+	0.164481i
$311$	−23.3701			−1.32519			−0.662597	−	0.748976i	$-0.730546\pi$
$311$	−23.3701			−1.32519			−0.662597	+	0.748976i	$0.730546\pi$
$312$	0.246084	+	1.55371i	0.0139318	+	0.0879617i
$313$	−2.44302	−	0.386936i	−0.138088	−	0.0218709i	0.0870080	−	0.996208i	$-0.472269\pi$
$313$	−2.44302	−	0.386936i	−0.138088	−	0.0218709i	−0.225096	+	0.974337i	$0.572269\pi$
$314$	−8.23617	+	2.67610i	−0.464794	+	0.151021i
$315$	−4.17943	−	10.2901i	−0.235484	−	0.579783i
$316$			5.27077i			0.296504i
$317$	−11.5125	+	22.5946i	−0.646609	+	1.26904i	0.302216	+	0.953239i	$0.402274\pi$
$317$	−11.5125	+	22.5946i	−0.646609	+	1.26904i	−0.948825	+	0.315802i	$0.897726\pi$
$318$	−3.01342	−	5.91418i	−0.168984	−	0.331651i
$319$	−4.85751	−	1.57830i	−0.271968	−	0.0883679i
$320$	−1.15517	−	1.91457i	−0.0645760	−	0.107028i
$321$	−11.0355	+	3.58564i	−0.615940	+	0.200131i
$322$	26.5527	−	4.20553i	1.47972	−	0.234365i
$323$	−2.05777	−	0.325919i	−0.114497	−	0.0181346i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	4.53500	+	6.42639i	0.251556	+	0.356472i
$326$	−1.63882	+	1.19067i	−0.0907658	+	0.0659452i
$327$	7.28933	+	14.3061i	0.403101	+	0.791130i
$328$	1.41828	−	8.95465i	0.0783112	−	0.494438i
$329$	−3.38948	+	4.66522i	−0.186868	+	0.257202i
$330$	−4.71675	−	0.403953i	−0.259648	−	0.0222369i
$331$	9.99725	−	13.7600i	0.549498	−	0.756320i	−0.440446	−	0.897779i	$-0.645180\pi$
$331$	9.99725	−	13.7600i	0.549498	−	0.756320i	0.989944	+	0.141460i	$0.0451795\pi$
$332$	−0.754346	−	1.48049i	−0.0414001	−	0.0812523i
$333$	−5.95361	+	3.03352i	−0.326256	+	0.166236i
$334$	−3.05094	−	9.38983i	−0.166940	−	0.513789i
$335$	11.3142	−	4.59537i	0.618161	−	0.251072i
$336$			4.96698i			0.270971i
$337$	24.0534	+	12.2558i	1.31027	+	0.667617i	0.962836	−	0.270087i	$-0.0870524\pi$
$337$	24.0534	+	12.2558i	1.31027	+	0.667617i	0.347436	+	0.937704i	$0.387052\pi$
$338$	1.64654	−	10.3958i	0.0895598	−	0.565459i
$339$	16.1177	+	11.7102i	0.875394	+	0.636011i
$340$	−2.86368	+	1.16311i	−0.155305	+	0.0630786i
$341$	8.28462	−	8.38526i	0.448637	−	0.454087i
$342$	1.06577	+	1.06577i	0.0576305	+	0.0576305i
$343$	52.3494	−	8.29134i	2.82660	−	0.447690i
$344$	−4.42669	+	3.21618i	−0.238671	+	0.173405i
$345$	1.03272	−	12.0585i	0.0555998	−	0.649210i
$346$	−9.73603			−0.523412
$347$	2.06615	−	2.06615i	0.110917	−	0.110917i	−0.649470	−	0.760387i	$-0.725009\pi$
$347$	2.06615	−	2.06615i	0.110917	−	0.110917i	0.760387	+	0.649470i	$0.225009\pi$
$348$	2.14953	+	1.09524i	0.115227	+	0.0587111i
$349$	−20.9848	−	6.81838i	−1.12329	−	0.364979i	−0.312268	−	0.949994i	$-0.601089\pi$
$349$	−20.9848	−	6.81838i	−1.12329	−	0.364979i	−0.811023	+	0.585015i	$0.801089\pi$
$350$	10.9686	+	22.2814i	0.586298	+	1.19099i
$351$	−1.27265	−	0.924634i	−0.0679290	−	0.0493533i
$352$	1.88636	+	0.961150i	0.100544	+	0.0512295i
$353$	0.624785	+	3.94474i	0.0332540	+	0.209957i	0.998721	−	0.0505697i	$-0.0161037\pi$
$353$	0.624785	+	3.94474i	0.0332540	+	0.209957i	−0.965467	+	0.260527i	$0.916104\pi$
$354$	−10.2944	+	7.47934i	−0.547143	+	0.397523i
$355$	−22.9246	−	19.8544i	−1.21671	−	1.05376i
$356$	−6.52533	−	8.98135i	−0.345842	−	0.476011i
$357$	6.78123	+	1.07404i	0.358901	+	0.0568443i
$358$	−14.1905	+	7.23041i	−0.749990	+	0.382139i
$359$	−10.6142	−	14.6092i	−0.560195	−	0.771043i	0.431156	−	0.902277i	$-0.358106\pi$
$359$	−10.6142	−	14.6092i	−0.560195	−	0.771043i	−0.991351	+	0.131235i	$0.958106\pi$
$360$	2.17063	+	0.536977i	0.114403	+	0.0283012i
$361$	5.16931	+	15.9095i	0.272069	+	0.837343i
$362$	4.58232	−	0.725768i	0.240841	−	0.0381455i
$363$	−5.80742	+	2.95903i	−0.304811	+	0.155309i
$364$	−2.41449	+	7.43104i	−0.126554	+	0.389492i
$365$	−16.4671	−	19.5519i	−0.861930	−	1.02339i
$366$	−4.29814			−0.224667
$367$	18.9938	−	18.9938i	0.991470	−	0.991470i	−0.00849433	−	0.999964i	$-0.502704\pi$
$367$	18.9938	−	18.9938i	0.991470	−	0.991470i	0.999964	+	0.00849433i	$0.00270386\pi$
$368$	−2.45721	+	4.82256i	−0.128091	+	0.251393i
$369$	5.32902	+	7.33477i	0.277418	+	0.381833i
$370$	12.7930	−	7.71873i	0.665074	−	0.401277i
$371$		−	32.9690i		−	1.71166i
$372$	−4.48458	+	3.29978i	−0.232514	+	0.171086i
$373$	−10.7225	+	10.7225i	−0.555189	+	0.555189i	−0.927934	−	0.372745i	$-0.878417\pi$
$373$	−10.7225	+	10.7225i	−0.555189	+	0.555189i	0.372745	+	0.927934i	$0.378417\pi$
$374$	1.72012	−	2.36755i	0.0889455	−	0.122423i
$375$	10.9231	−	2.38461i	0.564065	−	0.123141i
$376$	−0.358761	−	1.10415i	−0.0185017	−	0.0569423i
$377$	2.68348	+	2.68348i	0.138206	+	0.138206i
$378$	−3.51218	−	3.51218i	−0.180647	−	0.180647i
$379$	−11.8898	+	3.86324i	−0.610739	+	0.198441i	−0.598024	−	0.801478i	$-0.704047\pi$
$379$	−11.8898	+	3.86324i	−0.610739	+	0.198441i	−0.0127149	+	0.999919i	$0.504047\pi$
$380$	−2.54763	−	2.20643i	−0.130690	−	0.113188i
$381$	5.08613	−	15.6535i	0.260570	−	0.801953i
$382$	2.49404	+	15.7468i	0.127606	+	0.805675i
$383$	14.5054	−	28.4685i	0.741194	−	1.45467i	−0.144061	−	0.989569i	$-0.546016\pi$
$383$	14.5054	−	28.4685i	0.741194	−	1.45467i	0.885255	−	0.465106i	$-0.153984\pi$
$384$	−0.809017	−	0.587785i	−0.0412850	−	0.0299953i
$385$	−19.9636	−	12.4238i	−1.01744	−	0.633176i
$386$	−6.35466	+	19.5576i	−0.323444	+	0.995458i
$387$	0.855962	−	5.40433i	0.0435110	−	0.274717i
$388$	−1.68410	+	10.6330i	−0.0854975	+	0.539810i
$389$	10.0589	−	30.9582i	0.510008	−	1.56964i	−0.282177	−	0.959363i	$-0.591056\pi$
$389$	10.0589	−	30.9582i	0.510008	−	1.56964i	0.792185	−	0.610281i	$-0.208944\pi$
$390$	2.98643	+	1.85853i	0.151224	+	0.0941103i
$391$	6.05272	+	4.39756i	0.306099	+	0.222394i
$392$	−8.02241	+	15.7449i	−0.405193	+	0.795236i
$393$	−0.566850	−	3.57895i	−0.0285938	−	0.180534i
$394$	−4.53025	+	13.9427i	−0.228231	+	0.702421i
$395$	8.90902	+	7.71587i	0.448261	+	0.388228i
$396$	−2.01350	+	0.654225i	−0.101182	+	0.0328760i
$397$	−12.6734	−	12.6734i	−0.636061	−	0.636061i	0.313520	−	0.949582i	$-0.398492\pi$
$397$	−12.6734	−	12.6734i	−0.636061	−	0.636061i	−0.949582	+	0.313520i	$0.898492\pi$
$398$	−0.843783	−	0.843783i	−0.0422950	−	0.0422950i
$399$	2.31342	+	7.11998i	0.115816	+	0.356445i
$400$	−4.92719	−	0.850187i	−0.246359	−	0.0425094i
$401$	−9.65339	+	13.2868i	−0.482068	+	0.663509i	−0.978901	−	0.204337i	$-0.934496\pi$
$401$	−9.65339	+	13.2868i	−0.482068	+	0.663509i	0.496833	+	0.867846i	$0.334496\pi$
$402$	3.86172	−	3.86172i	0.192605	−	0.192605i
$403$	−8.31338	+	2.75678i	−0.414119	+	0.137325i
$404$			4.94107i			0.245828i
$405$	−1.91457	+	1.15517i	−0.0951358	+	0.0574009i
$406$	7.04326	+	9.69422i	0.349551	+	0.481116i
$407$	−6.42230	+	12.6045i	−0.318342	+	0.624781i
$408$	−0.977421	+	0.977421i	−0.0483895	+	0.0483895i
$409$	−20.7274			−1.02490			−0.512452	−	0.858716i	$-0.671263\pi$
$409$	−20.7274			−1.02490			−0.512452	+	0.858716i	$0.671263\pi$
$410$	−13.0595	−	15.5060i	−0.644965	−	0.765785i
$411$	5.11579	−	15.7448i	0.252343	−	0.776633i
$412$	3.98003	−	2.02793i	0.196082	−	0.0999088i
$413$	−62.4248	+	9.88711i	−3.07172	+	0.486513i
$414$	−1.67255	−	5.14757i	−0.0822013	−	0.252989i
$415$	−3.60670	−	0.892235i	−0.177046	−	0.0437981i
$416$	−0.924634	−	1.27265i	−0.0453339	−	0.0623968i
$417$	5.15555	−	2.62688i	0.252468	−	0.128639i
$418$	3.15170	+	0.499180i	0.154155	+	0.0244157i
$419$	−4.11764	−	5.66744i	−0.201160	−	0.276873i	0.696505	−	0.717552i	$-0.254738\pi$
$419$	−4.11764	−	5.66744i	−0.201160	−	0.276873i	−0.897664	+	0.440680i	$0.854738\pi$
$420$	8.39552	+	7.27115i	0.409660	+	0.354796i
$421$	30.7764	−	22.3604i	1.49995	−	1.08978i	0.529552	−	0.848278i	$-0.322360\pi$
$421$	30.7764	−	22.3604i	1.49995	−	1.08978i	0.970400	−	0.241502i	$-0.0776399\pi$
$422$	−0.391261	−	2.47032i	−0.0190463	−	0.120254i
$423$	1.03444	+	0.527071i	0.0502960	+	0.0256271i
$424$	5.36996	+	3.90150i	0.260788	+	0.189474i
$425$	−2.22617	+	6.54307i	−0.107985	+	0.317385i
$426$	−12.8989	−	4.19110i	−0.624953	−	0.203060i
$427$	−19.0219	−	9.69213i	−0.920533	−	0.469035i
$428$	8.20484	−	8.20484i	0.396596	−	0.396596i
$429$	−3.33039			−0.160793
$430$	−1.04402	+	12.1905i	−0.0503471	+	0.587876i
$431$	5.54000	−	4.02504i	0.266852	−	0.193879i	−0.446310	−	0.894878i	$-0.647262\pi$
$431$	5.54000	−	4.02504i	0.266852	−	0.193879i	0.713162	+	0.700999i	$0.247262\pi$
$432$	0.987688	−	0.156434i	0.0475202	−	0.00752646i
$433$	9.56024	+	9.56024i	0.459436	+	0.459436i	0.898470	−	0.439034i	$-0.144679\pi$
$433$	9.56024	+	9.56024i	0.459436	+	0.459436i	−0.439034	+	0.898470i	$0.644679\pi$
$434$	−27.2879	+	4.49101i	−1.30986	+	0.215575i
$435$	4.99794	−	2.02996i	0.239633	−	0.0973293i
$436$	−12.9897	−	9.43756i	−0.622093	−	0.451977i
$437$	−1.27617	+	8.05743i	−0.0610476	+	0.385439i
$438$	−10.1859	−	5.18998i	−0.486702	−	0.247987i
$439$			8.73183i			0.416747i	0.978049	+	0.208374i	$0.0668170\pi$
$439$			8.73183i			0.416747i	−0.978049	+	0.208374i	$0.933183\pi$
$440$	4.38604	−	1.78143i	0.209096	−	0.0849265i
$441$	−5.46060	−	16.8060i	−0.260029	−	0.800286i
$442$	−1.93744	+	0.987176i	−0.0921547	+	0.0469552i
$443$	0.440368	+	0.864271i	0.0209225	+	0.0410627i	0.901231	−	0.433339i	$-0.142665\pi$
$443$	0.440368	+	0.864271i	0.0209225	+	0.0410627i	−0.880309	+	0.474401i	$0.842665\pi$
$444$	3.92752	−	5.40576i	0.186392	−	0.256546i
$445$	−24.7333	−	2.11822i	−1.17247	−	0.100413i
$446$	−8.04297	+	11.0702i	−0.380846	+	0.524189i
$447$	−0.581363	+	3.67058i	−0.0274975	+	0.173613i
$448$	−2.25496	−	4.42561i	−0.106537	−	0.209090i
$449$	−17.9119	+	13.0138i	−0.845316	+	0.614158i	−0.923851	−	0.382753i	$-0.874976\pi$
$449$	−17.9119	+	13.0138i	−0.845316	+	0.614158i	0.0785347	+	0.996911i	$0.474976\pi$
$450$	4.08522	−	2.88287i	0.192579	−	0.135900i
$451$	18.2549	+	5.93138i	0.859590	+	0.279298i
$452$	−19.6773	−	3.11658i	−0.925542	−	0.146591i
$453$	10.2784	−	1.62793i	0.482920	−	0.0764870i
$454$	−0.319482	+	0.103806i	−0.0149940	+	0.00487185i
$455$	9.02588	+	14.9594i	0.423140	+	0.701309i
$456$	−1.43346	−	0.465760i	−0.0671281	−	0.0218112i
$457$	10.8178	+	21.2312i	0.506037	+	0.993153i	0.992819	+	0.119630i	$0.0381707\pi$
$457$	10.8178	+	21.2312i	0.506037	+	0.993153i	−0.486782	+	0.873524i	$0.661829\pi$
$458$	10.3241	−	20.2621i	0.482412	−	0.946787i
$459$		−	1.38228i		−	0.0645194i
$460$	4.55430	+	11.2131i	0.212345	+	0.522812i
$461$	11.2782	−	3.66452i	0.525280	−	0.170674i	−0.0343603	−	0.999410i	$-0.510939\pi$
$461$	11.2782	−	3.66452i	0.525280	−	0.170674i	0.559640	+	0.828736i	$0.310939\pi$
$462$	−10.3862	−	1.64501i	−0.483210	−	0.0765329i
$463$	−0.787942	−	4.97487i	−0.0366188	−	0.231202i	0.962591	−	0.270960i	$-0.0873412\pi$
$463$	−0.787942	−	4.97487i	−0.0366188	−	0.231202i	−0.999209	+	0.0397583i	$0.987341\pi$
$464$	−2.41248			−0.111996
$465$	−0.987444	+	12.4107i	−0.0457916	+	0.575531i
$466$	−4.69118			−0.217315
$467$	−5.11698	−	32.3073i	−0.236786	−	1.49501i	−0.763968	−	0.645254i	$-0.776752\pi$
$467$	−5.11698	−	32.3073i	−0.236786	−	1.49501i	0.527183	−	0.849752i	$-0.323248\pi$
$468$	1.55371	+	0.246084i	0.0718205	+	0.0113752i
$469$	25.7985	−	8.38243i	1.19126	−	0.387065i
$470$	−2.39150	−	1.00996i	−0.110312	−	0.0465862i
$471$			8.66003i			0.399033i
$472$	5.77685	−	11.3377i	0.265901	−	0.521861i
$473$	−5.25912	−	10.3216i	−0.241815	−	0.474588i
$474$	5.01280	+	1.62876i	0.230246	+	0.0748113i
$475$	−7.45893	+	1.07618i	−0.342239	+	0.0493784i
$476$	−6.52973	+	2.12164i	−0.299290	+	0.0972451i
$477$	−6.55592	+	1.03835i	−0.300175	+	0.0475430i
$478$	−4.17625	−	0.661454i	−0.191017	−	0.0302542i
$479$	14.6893	+	4.77285i	0.671172	+	0.218077i	0.624726	−	0.780844i	$-0.285211\pi$
$479$	14.6893	+	4.77285i	0.671172	+	0.218077i	0.0464457	+	0.998921i	$0.485211\pi$
$480$	−2.17783	+	0.506998i	−0.0994040	+	0.0231412i
$481$	8.50371	−	6.17831i	0.387736	−	0.281706i
$482$	−2.45056	−	4.80949i	−0.111620	−	0.219066i
$483$	4.20553	−	26.5527i	0.191358	−	1.20819i
$484$	3.83108	−	5.27303i	0.174140	−	0.239683i
$485$	15.5073	+	18.4122i	0.704150	+	0.836056i
$486$	−0.587785	+	0.809017i	−0.0266625	+	0.0366978i
$487$	−17.9455	−	35.2200i	−0.813188	−	1.59597i	−0.802967	−	0.596023i	$-0.796747\pi$
$487$	−17.9455	−	35.2200i	−0.813188	−	1.59597i	−0.0102207	−	0.999948i	$-0.503253\pi$
$488$	3.82967	−	1.95131i	0.173361	−	0.0883318i
$489$	0.625973	+	1.92655i	0.0283075	+	0.0871215i
$490$	14.8690	+	36.6089i	0.671715	+	1.65382i
$491$		−	17.5143i		−	0.790408i	−0.918593	−	0.395204i	$-0.870674\pi$
$491$		−	17.5143i		−	0.790408i	0.918593	−	0.395204i	$-0.129326\pi$
$492$	−8.07811	−	4.11600i	−0.364189	−	0.185564i
$493$	−0.521665	+	3.29366i	−0.0234946	+	0.148339i
$494$	−1.91818	−	1.39364i	−0.0863029	−	0.0627028i
$495$	−1.84174	+	4.36106i	−0.0827799	+	0.196015i
$496$	2.49772	−	4.97608i	0.112151	−	0.223433i
$497$	−47.6347	−	47.6347i	−2.13671	−	2.13671i
$498$	−1.64113	+	0.259930i	−0.0735409	+	0.0116477i
$499$	−31.2533	+	22.7069i	−1.39909	+	1.01650i	−0.404294	+	0.914629i	$0.632483\pi$
$499$	−31.2533	+	22.7069i	−1.39909	+	1.01650i	−0.994798	+	0.101871i	$0.967517\pi$
$500$	−8.64994	+	7.08368i	−0.386837	+	0.316792i
$501$	−9.87305			−0.441095
$502$	17.4941	−	17.4941i	0.780800	−	0.780800i
$503$	−10.9391	−	5.57374i	−0.487750	−	0.248521i	0.192779	−	0.981242i	$-0.438250\pi$
$503$	−10.9391	−	5.57374i	−0.487750	−	0.248521i	−0.680529	+	0.732721i	$0.738250\pi$
$504$	4.72388	+	1.53488i	0.210418	+	0.0683690i
$505$	8.35173	+	7.23322i	0.371647	+	0.321874i
$506$	−9.27040	−	6.73534i	−0.412120	−	0.299422i
$507$	−9.37821	−	4.77844i	−0.416501	−	0.212218i
$508$	2.57477	+	16.2564i	0.114237	+	0.721263i
$509$	−28.8533	+	20.9632i	−1.27890	+	0.929175i	−0.999519	−	0.0310051i	$-0.990129\pi$
$509$	−28.8533	+	20.9632i	−1.27890	+	0.929175i	−0.279381	+	0.960180i	$0.590129\pi$
$510$	0.221259	+	3.08295i	0.00979750	+	0.136515i
$511$	−33.3757	−	45.9377i	−1.47645	−	2.03216i
$512$	0.987688	+	0.156434i	0.0436501	+	0.00691349i
$513$	1.34295	−	0.684269i	0.0592929	−	0.0302112i
$514$	−4.15853	−	5.72373i	−0.183425	−	0.252463i
$515$	2.39862	−	9.69599i	0.105696	−	0.427257i
$516$	1.69085	+	5.20389i	0.0744354	+	0.229089i
$517$	2.42766	−	0.384503i	0.106768	−	0.0169104i
$518$	29.5714	−	15.0674i	1.29929	−	0.662024i
$519$	−3.00860	+	9.25952i	−0.132063	+	0.406448i
$520$	−3.50469	−	0.300150i	−0.153691	−	0.0131624i
$521$	10.7094			0.469187			0.234594	−	0.972094i	$-0.424624\pi$
$521$	10.7094			0.469187			0.234594	+	0.972094i	$0.424624\pi$
$522$	1.70588	−	1.70588i	0.0746642	−	0.0746642i
$523$	4.64513	−	9.11658i	0.203117	−	0.398640i	−0.766868	−	0.641805i	$-0.778186\pi$
$523$	4.64513	−	9.11658i	0.203117	−	0.398640i	0.969985	+	0.243165i	$0.0781857\pi$
$524$	2.12988	+	2.93152i	0.0930441	+	0.128064i
$525$	24.5804	−	3.54646i	1.07278	−	0.154780i
$526$			10.0772i			0.439388i
$527$	−6.25357	−	4.48605i	−0.272410	−	0.195416i
$528$	1.49703	−	1.49703i	0.0651497	−	0.0651497i
$529$	3.70007	−	5.09271i	0.160873	−	0.221422i
$530$	14.4557	−	3.36527i	0.627914	−	0.146178i
$531$	3.93212	+	12.1018i	0.170640	+	0.525175i
$532$	−5.29368	−	5.29368i	−0.229510	−	0.229510i
$533$	−10.0847	−	10.0847i	−0.436819	−	0.436819i
$534$	−10.5582	+	3.43057i	−0.456899	+	0.148455i
$535$	−1.85733	−	25.8794i	−0.0802994	−	1.11886i
$536$	−1.68763	+	5.19400i	−0.0728946	+	0.224346i
$537$	2.49143	+	15.7303i	0.107513	+	0.678811i
$538$	−10.8511	+	21.2964i	−0.467822	+	0.918153i
$539$	−30.2664	−	21.9898i	−1.30366	−	0.947167i
$540$	1.18146	−	1.89846i	0.0508419	−	0.0816968i
$541$	−7.79091	+	23.9780i	−0.334958	+	1.03089i	0.631785	+	0.775143i	$0.282322\pi$
$541$	−7.79091	+	23.9780i	−0.334958	+	1.03089i	−0.966743	+	0.255750i	$0.917678\pi$
$542$	4.31282	−	27.2301i	0.185251	−	1.16963i
$543$	0.725768	−	4.58232i	0.0311457	−	0.196646i
$544$	0.427149	−	1.31463i	0.0183138	−	0.0563642i
$545$	−34.9676	+	8.14042i	−1.49785	+	0.348697i
$546$	6.32122	+	4.59264i	0.270523	+	0.196547i
$547$	10.4424	−	20.4944i	0.446485	−	0.876276i	−0.552598	−	0.833448i	$-0.686363\pi$
$547$	10.4424	−	20.4944i	0.446485	−	0.876276i	0.999082	−	0.0428275i	$-0.0136366\pi$
$548$	2.58978	+	16.3512i	0.110630	+	0.698490i
$549$	−1.32820	+	4.08777i	−0.0566861	+	0.174462i
$550$	3.40962	−	10.0214i	0.145387	−	0.427315i
$551$	−3.45820	+	1.12364i	−0.147324	+	0.0478685i
$552$	3.82720	+	3.82720i	0.162897	+	0.162897i
$553$	18.5119	+	18.5119i	0.787207	+	0.787207i
$554$	−2.74486	−	8.44780i	−0.116618	−	0.358913i
$555$	−3.38770	−	14.5520i	−0.143800	−	0.617700i
$556$	−3.40105	+	4.68114i	−0.144237	+	0.198525i
$557$	24.2489	−	24.2489i	1.02746	−	1.02746i	0.0278454	−	0.999612i	$-0.491135\pi$
$557$	24.2489	−	24.2489i	1.02746	−	1.02746i	0.999612	−	0.0278454i	$-0.00886460\pi$
$558$	1.75247	+	5.28478i	0.0741880	+	0.223722i
$559$			8.60742i			0.364055i
$560$	−10.7815	−	2.66715i	−0.455601	−	0.112708i
$561$	−1.72012	−	2.36755i	−0.0726237	−	0.0999579i
$562$	−11.7580	+	23.0765i	−0.495983	+	0.973422i
$563$	11.9321	−	11.9321i	0.502877	−	0.502877i	−0.409454	−	0.912331i	$-0.634281\pi$
$563$	11.9321	−	11.9321i	0.502877	−	0.502877i	0.912331	+	0.409454i	$0.134281\pi$
$564$	−1.16097			−0.0488858
$565$	−34.0734	+	28.6975i	−1.43348	+	1.20731i
$566$	−3.49044	+	10.7425i	−0.146714	+	0.451540i
$567$	−4.42561	+	2.25496i	−0.185858	+	0.0946995i
$568$	13.3957	−	2.12167i	0.562072	−	0.0890234i
$569$	11.7667	+	36.2143i	0.493287	+	1.51818i	0.819609	+	0.572923i	$0.194191\pi$
$569$	11.7667	+	36.2143i	0.493287	+	1.51818i	−0.326322	+	0.945259i	$0.605809\pi$
$570$	−2.88570	+	1.74111i	−0.120869	+	0.0729271i
$571$	−6.42096	−	8.83770i	−0.268709	−	0.369846i	0.653244	−	0.757147i	$-0.273407\pi$
$571$	−6.42096	−	8.83770i	−0.268709	−	0.369846i	−0.921953	+	0.387301i	$0.873407\pi$
$572$	2.96740	−	1.51197i	0.124073	−	0.0632185i
$573$	15.7468	+	2.49404i	0.657831	+	0.104190i
$574$	−26.4691	−	36.4316i	−1.10480	−	1.52063i
$575$	25.6201	+	8.71681i	1.06843	+	0.363516i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	6.50339	+	41.0608i	0.270740	+	1.70938i	0.630376	+	0.776290i	$0.282901\pi$
$577$	6.50339	+	41.0608i	0.270740	+	1.70938i	−0.359636	+	0.933093i	$0.617099\pi$
$578$	13.4447	+	6.85040i	0.559224	+	0.284939i
$579$	16.6367	+	12.0873i	0.691399	+	0.502331i
$580$	−3.53162	+	4.07773i	−0.146642	+	0.169318i
$581$	−7.84914	−	2.55034i	−0.325637	−	0.105806i
$582$	9.59218	+	4.88746i	0.397609	+	0.202592i
$583$	−9.93672	+	9.93672i	−0.411537	+	0.411537i
$584$	11.4319			0.473056
$585$	2.69043	−	2.26595i	0.111235	−	0.0936855i
$586$	−10.5364	+	7.65512i	−0.435254	+	0.316230i
$587$	−11.2955	+	1.78904i	−0.466216	+	0.0738414i	−0.385123	−	0.922865i	$-0.625841\pi$
$587$	−11.2955	+	1.78904i	−0.466216	+	0.0738414i	−0.0810930	+	0.996707i	$0.525841\pi$
$588$	12.4952	+	12.4952i	0.515293	+	0.515293i
$589$	1.26272	−	8.29637i	0.0520296	−	0.341846i
$590$	−10.7071	−	26.3617i	−0.440802	−	1.08529i
$591$	11.8603	+	8.61704i	0.487869	+	0.354458i
$592$	−1.04528	+	6.59963i	−0.0429607	+	0.271243i
$593$	−27.0190	−	13.7669i	−1.10954	−	0.565338i	−0.199515	−	0.979895i	$-0.563937\pi$
$593$	−27.0190	−	13.7669i	−1.10954	−	0.565338i	−0.910023	+	0.414557i	$0.863937\pi$
$594$			2.11712i			0.0868663i
$595$	−5.97272	+	14.1428i	−0.244858	+	0.579800i
$596$	−1.14841	−	3.53444i	−0.0470407	−	0.144776i
$597$	−1.06323	+	0.541742i	−0.0435150	+	0.0221720i
$598$	3.86540	+	7.58627i	0.158068	+	0.310226i
$599$	14.9017	−	20.5105i	0.608868	−	0.838036i	−0.387615	−	0.921821i	$-0.626701\pi$
$599$	14.9017	−	20.5105i	0.608868	−	0.838036i	0.996484	+	0.0837856i	$0.0267011\pi$
$600$	−2.33116	+	4.42331i	−0.0951693	+	0.180581i
$601$	7.37436	−	10.1499i	0.300806	−	0.414024i	−0.631680	−	0.775229i	$-0.717634\pi$
$601$	7.37436	−	10.1499i	0.300806	−	0.414024i	0.932487	+	0.361205i	$0.117634\pi$
$602$	−4.25154	+	26.8432i	−0.173280	+	1.09405i
$603$	−2.47937	−	4.86605i	−0.100968	−	0.198161i
$604$	−8.41902	+	6.11678i	−0.342565	+	0.248888i
$605$	−3.30452	−	14.1947i	−0.134348	−	0.577098i
$606$	4.69924	+	1.52688i	0.190894	+	0.0620251i
$607$	30.6229	+	4.85019i	1.24295	+	0.196863i	0.743058	−	0.669227i	$-0.233375\pi$
$607$	30.6229	+	4.85019i	1.24295	+	0.196863i	0.499888	+	0.866090i	$0.333375\pi$
$608$	1.48868	−	0.235783i	0.0603738	−	0.00956227i
$609$	11.3962	−	3.70286i	0.461799	−	0.150048i
$610$	2.30800	−	9.32968i	0.0934482	−	0.377748i
$611$	−1.73692	−	0.564360i	−0.0702683	−	0.0228316i
$612$	0.627543	+	1.23162i	0.0253669	+	0.0497854i
$613$	9.71897	−	19.0746i	0.392546	−	0.770414i	−0.607162	−	0.794578i	$-0.707692\pi$
$613$	9.71897	−	19.0746i	0.392546	−	0.770414i	0.999708	+	0.0241636i	$0.00769225\pi$
$614$			15.7600i			0.636022i
$615$	−18.7827	+	7.62876i	−0.757390	+	0.307621i
$616$	10.0010	−	3.24952i	0.402951	−	0.130927i
$617$	−13.6732	−	2.16563i	−0.550463	−	0.0871848i	−0.124994	−	0.992158i	$-0.539891\pi$
$617$	−13.6732	−	2.16563i	−0.550463	−	0.0871848i	−0.425470	+	0.904973i	$0.639891\pi$
$618$	−0.698776	−	4.41190i	−0.0281089	−	0.177473i
$619$	−39.9654			−1.60634			−0.803172	−	0.595747i	$-0.796856\pi$
$619$	−39.9654			−1.60634			−0.803172	+	0.595747i	$0.796856\pi$
$620$	−4.75451	−	11.5063i	−0.190946	−	0.462104i
$621$	−5.41248			−0.217195
$622$	−3.65588	−	23.0823i	−0.146588	−	0.925517i
$623$	−54.4623	−	8.62599i	−2.18199	−	0.345593i
$624$	−1.49609	+	0.486109i	−0.0598915	+	0.0194599i
$625$	−0.689316	+	24.9905i	−0.0275727	+	0.999620i
$626$		−	2.47347i		−	0.0988597i
$627$	1.44868	−	2.84319i	0.0578546	−	0.113546i
$628$	−3.93157	−	7.71614i	−0.156887	−	0.307908i
$629$	8.78420	+	2.85416i	0.350249	+	0.113803i
$630$	9.50963	−	5.73771i	0.378873	−	0.228596i
$631$	20.8602	−	6.77789i	0.830431	−	0.269823i	0.137204	−	0.990543i	$-0.456188\pi$
$631$	20.8602	−	6.77789i	0.830431	−	0.269823i	0.693227	+	0.720719i	$0.256188\pi$
$632$	−5.20588	+	0.824530i	−0.207079	+	0.0327981i
$633$	−2.47032	−	0.391261i	−0.0981866	−	0.0155512i
$634$	−24.1174	−	7.83623i	−0.957825	−	0.311216i
$635$	31.2469	+	19.4457i	1.24000	+	0.771679i
$636$	5.36996	−	3.90150i	0.212933	−	0.154705i
$637$	12.6199	+	24.7679i	0.500019	+	0.981342i
$638$	0.798987	−	5.04461i	0.0316322	−	0.199718i
$639$	−7.97195	+	10.9724i	−0.315366	+	0.434063i
$640$	1.71029	−	1.44045i	0.0676052	−	0.0569389i
$641$	2.60078	−	3.57966i	0.102725	−	0.141388i	−0.754560	−	0.656231i	$-0.772150\pi$
$641$	2.60078	−	3.57966i	0.102725	−	0.141388i	0.857285	+	0.514843i	$0.172150\pi$
$642$	−5.26783	−	10.3387i	−0.207905	−	0.408036i
$643$	−11.6005	+	5.91075i	−0.457479	+	0.233097i	−0.667515	−	0.744596i	$-0.732642\pi$
$643$	−11.6005	+	5.91075i	−0.457479	+	0.233097i	0.210036	+	0.977694i	$0.432642\pi$
$644$	8.30751	+	25.5679i	0.327362	+	1.00752i
$645$	11.2712	+	4.75998i	0.443803	+	0.187424i
$646$		−	2.08342i		−	0.0819711i
$647$	−21.3970	−	10.9023i	−0.841202	−	0.428614i	−0.0203764	−	0.999792i	$-0.506486\pi$
$647$	−21.3970	−	10.9023i	−0.841202	−	0.428614i	−0.820826	+	0.571178i	$0.806486\pi$
$648$	0.156434	−	0.987688i	0.00614533	−	0.0388001i
$649$	21.7945	+	15.8346i	0.855509	+	0.621564i
$650$	−5.63784	+	5.48447i	−0.221134	+	0.215119i
$651$	−4.16121	+	27.3401i	−0.163091	+	1.07154i
$652$	−1.43238	−	1.43238i	−0.0560963	−	0.0560963i
$653$	20.9736	−	3.32189i	0.820760	−	0.129996i	0.268088	−	0.963394i	$-0.413608\pi$
$653$	20.9736	−	3.32189i	0.820760	−	0.129996i	0.552672	+	0.833399i	$0.313608\pi$
$654$	−12.9897	+	9.43756i	−0.507937	+	0.369038i
$655$	8.07298	+	0.691389i	0.315437	+	0.0270148i
$656$	9.06627			0.353978
$657$	−8.08359	+	8.08359i	−0.315371	+	0.315371i
$658$	−5.13802	−	2.61795i	−0.200301	−	0.102058i
$659$	4.95152	+	1.60885i	0.192884	+	0.0626718i	0.403866	−	0.914818i	$-0.367666\pi$
$659$	4.95152	+	1.60885i	0.192884	+	0.0626718i	−0.210982	+	0.977490i	$0.567666\pi$
$660$	−0.338882	−	4.72187i	−0.0131910	−	0.183798i
$661$	−3.49642	−	2.54030i	−0.135995	−	0.0988062i	0.517708	−	0.855557i	$-0.326785\pi$
$661$	−3.49642	−	2.54030i	−0.135995	−	0.0988062i	−0.653703	+	0.756751i	$0.726785\pi$
$662$	15.1545	+	7.72162i	0.588998	+	0.300109i
$663$	0.340158	+	2.14767i	0.0132106	+	0.0834086i
$664$	1.34425	−	0.976658i	0.0521672	−	0.0379017i
$665$	−16.6971	+	1.19833i	−0.647487	+	0.0464693i
$666$	−3.92752	−	5.40576i	−0.152188	−	0.209469i
$667$	12.8967	+	2.04264i	0.499363	+	0.0790913i
$668$	8.79695	−	4.48227i	0.340364	−	0.173424i
$669$	8.04297	+	11.0702i	0.310959	+	0.427999i
$670$	6.30872	+	10.4560i	0.243727	+	0.403952i
$671$	2.81195	+	8.65428i	0.108554	+	0.334095i
$672$	−4.90583	+	0.777007i	−0.189246	+	0.0299737i
$673$	29.5370	−	15.0499i	1.13857	−	0.580130i	0.220042	−	0.975490i	$-0.429380\pi$
$673$	29.5370	−	15.0499i	1.13857	−	0.580130i	0.918526	+	0.395361i	$0.129380\pi$
$674$	−8.34215	+	25.6745i	−0.321328	+	0.988945i
$675$	−1.47937	−	4.77613i	−0.0569411	−	0.183833i
$676$	10.5254			0.404824
$677$	−1.15753	+	1.15753i	−0.0444875	+	0.0444875i	−0.729001	−	0.684513i	$-0.760015\pi$
$677$	−1.15753	+	1.15753i	−0.0444875	+	0.0444875i	0.684513	+	0.729001i	$0.260015\pi$
$678$	−9.04466	+	17.7511i	−0.347358	+	0.681729i
$679$	31.4302	+	43.2600i	1.20618	+	1.66017i
$680$	−1.59677	−	2.64648i	−0.0612334	−	0.101488i
$681$			0.335923i			0.0128726i
$682$	9.57802	+	6.87088i	0.366761	+	0.263100i
$683$	21.4380	−	21.4380i	0.820303	−	0.820303i	−0.165848	−	0.986151i	$-0.553036\pi$
$683$	21.4380	−	21.4380i	0.820303	−	0.820303i	0.986151	+	0.165848i	$0.0530361\pi$
$684$	−0.885929	+	1.21938i	−0.0338743	+	0.0466240i
$685$	31.4291	+	19.5591i	1.20085	+	0.747315i
$686$	16.3785	+	50.4079i	0.625335	+	1.92458i
$687$	−16.0801	−	16.0801i	−0.613494	−	0.613494i
$688$	−3.86907	−	3.86907i	−0.147507	−	0.147507i
$689$	9.93050	−	3.22661i	0.378322	−	0.122924i
$690$	12.0716	−	0.866364i	0.459559	−	0.0329819i
$691$	10.4033	−	32.0180i	0.395759	−	1.21802i	−0.532609	−	0.846361i	$-0.678788\pi$
$691$	10.4033	−	32.0180i	0.395759	−	1.21802i	0.928369	−	0.371661i	$-0.121212\pi$
$692$	−1.52305	−	9.61617i	−0.0578977	−	0.365552i
$693$	−4.77401	+	9.36953i	−0.181350	+	0.355919i
$694$	2.36393	+	1.71749i	0.0897335	+	0.0651952i
$695$	2.93359	+	12.6014i	0.111278	+	0.477998i
$696$	−0.745496	+	2.29440i	−0.0282580	+	0.0869690i
$697$	1.96046	−	12.3778i	0.0742577	−	0.468844i
$698$	3.45169	−	21.7931i	0.130648	−	0.824880i
$699$	−1.44965	+	4.46158i	−0.0548309	+	0.168752i
$700$	−20.2912	+	14.3192i	−0.766935	+	0.541214i
$701$	33.9504	+	24.6664i	1.28229	+	0.931638i	0.999620	−	0.0275795i	$-0.00877995\pi$
$701$	33.9504	+	24.6664i	1.28229	+	0.931638i	0.282670	+	0.959217i	$0.408780\pi$
$702$	0.714164	−	1.40163i	0.0269544	−	0.0529010i
$703$	1.57548	+	9.94717i	0.0594203	+	0.375165i
$704$	−0.654225	+	2.01350i	−0.0246570	+	0.0758865i
$705$	−1.69955	+	1.96236i	−0.0640087	+	0.0739066i
$706$	−3.79843	+	1.23419i	−0.142956	+	0.0464492i
$707$	17.3540	+	17.3540i	0.652663	+	0.652663i
$708$	−8.99766	−	8.99766i	−0.338153	−	0.338153i
$709$	−10.2924	−	31.6767i	−0.386538	−	1.18964i	−0.935358	−	0.353702i	$-0.884923\pi$
$709$	−10.2924	−	31.6767i	−0.386538	−	1.18964i	0.548820	−	0.835941i	$-0.315077\pi$
$710$	16.0238	−	25.7483i	0.601361	−	0.966315i
$711$	3.09808	−	4.26414i	0.116187	−	0.159918i
$712$	7.84999	−	7.84999i	0.294191	−	0.294191i
$713$	−17.5656	+	24.4866i	−0.657839	+	0.917029i
$714$			6.86576i			0.256945i
$715$	1.78834	−	7.22907i	0.0668803	−	0.270352i
$716$	−9.36127	−	12.8847i	−0.349847	−	0.481523i
$717$	−1.91961	+	3.76745i	−0.0716893	+	0.140698i
$718$	12.7689	−	12.7689i	0.476531	−	0.476531i
$719$	−32.1807			−1.20014			−0.600070	−	0.799948i	$-0.704860\pi$
$719$	−32.1807			−1.20014			−0.600070	+	0.799948i	$0.704860\pi$
$720$	−0.190804	+	2.22791i	−0.00711083	+	0.0830294i
$721$	6.85615	−	21.1011i	0.255336	−	0.785844i
$722$	−14.9050	+	7.59447i	−0.554706	+	0.282637i
$723$	−5.33136	+	0.844405i	−0.198276	+	0.0314038i
$724$	1.43366	+	4.41237i	0.0532817	+	0.163984i
$725$	1.72253	+	11.9388i	0.0639731	+	0.443394i
$726$	−3.83108	−	5.27303i	−0.142185	−	0.195700i
$727$	46.4408	−	23.6628i	1.72239	−	0.877603i	0.744747	−	0.667347i	$-0.232570\pi$
$727$	46.4408	−	23.6628i	1.72239	−	0.877603i	0.977646	−	0.210256i	$-0.0674299\pi$
$728$	−7.71726	−	1.22229i	−0.286021	−	0.0453013i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	16.7352	−	19.3230i	0.619396	−	0.715176i
$731$	−6.11894	+	4.44567i	−0.226317	+	0.164429i
$732$	−0.672377	−	4.24522i	−0.0248518	−	0.156908i
$733$	−19.9325	−	10.1561i	−0.736222	−	0.375124i	0.0453231	−	0.998972i	$-0.485568\pi$
$733$	−19.9325	−	10.1561i	−0.736222	−	0.375124i	−0.781545	+	0.623848i	$0.785568\pi$
$734$	21.7313	+	15.7887i	0.802116	+	0.582771i
$735$	39.4119	−	2.82854i	1.45373	−	0.104332i
$736$	−5.14757	−	1.67255i	−0.189742	−	0.0616510i
$737$	−10.3020	−	5.24912i	−0.379478	−	0.193354i
$738$	−6.41082	+	6.41082i	−0.235986	+	0.235986i
$739$	47.0391			1.73036			0.865181	−	0.501460i	$-0.167204\pi$
$739$	47.0391			1.73036			0.865181	+	0.501460i	$0.167204\pi$
$740$	9.62495	+	11.4280i	0.353820	+	0.420101i
$741$	−1.91818	+	1.39364i	−0.0704661	+	0.0511966i
$742$	32.5631	−	5.15749i	1.19543	−	0.189337i
$743$	27.9681	+	27.9681i	1.02605	+	1.02605i	0.999652	+	0.0263970i	$0.00840340\pi$
$743$	27.9681	+	27.9681i	1.02605	+	1.02605i	0.0263970	+	0.999652i	$0.491597\pi$
$744$	−3.96070	−	3.91316i	−0.145206	−	0.143464i
$745$	−7.65531	−	3.23294i	−0.280469	−	0.118446i
$746$	−12.2678	−	8.91311i	−0.449157	−	0.326332i
$747$	−0.259930	+	1.64113i	−0.00951034	+	0.0600459i
$748$	2.60749	+	1.32858i	0.0953391	+	0.0485777i
$749$		−	57.6338i		−	2.10589i
$750$	4.06400	+	10.4156i	0.148396	+	0.380323i
$751$	15.5384	+	47.8224i	0.567006	+	1.74506i	0.661915	+	0.749579i	$0.269744\pi$
$751$	15.5384	+	47.8224i	0.567006	+	1.74506i	−0.0949096	+	0.995486i	$0.530256\pi$
$752$	1.03444	−	0.527071i	0.0377220	−	0.0192203i
$753$	−11.2319	−	22.0439i	−0.409313	−	0.803323i
$754$	−2.23066	+	3.07024i	−0.0812357	+	0.111811i
$755$	−1.98559	+	23.1847i	−0.0722632	+	0.843779i
$756$	2.91952	−	4.01837i	0.106182	−	0.146147i
$757$	−3.39884	+	21.4594i	−0.123533	+	0.779956i	0.845673	+	0.533702i	$0.179200\pi$
$757$	−3.39884	+	21.4594i	−0.123533	+	0.779956i	−0.969205	+	0.246254i	$0.920800\pi$
$758$	−5.67565	−	11.1391i	−0.206149	−	0.404590i
$759$	−9.27040	+	6.73534i	−0.336494	+	0.244477i
$760$	1.78073	−	2.86142i	0.0645940	−	0.103795i
$761$	−41.9929	−	13.6443i	−1.52224	−	0.494606i	−0.575829	−	0.817570i	$-0.695321\pi$
$761$	−41.9929	−	13.6443i	−1.52224	−	0.494606i	−0.946411	+	0.322964i	$0.895321\pi$
$762$	16.2564	+	2.57477i	0.588908	+	0.0932739i
$763$	−78.7686	+	12.4757i	−2.85161	+	0.451651i
$764$	−15.1627	+	4.92668i	−0.548569	+	0.178241i
$765$	3.00043	+	0.742253i	0.108481	+	0.0268362i
$766$	30.3872	+	9.87340i	1.09793	+	0.356740i
$767$	−9.08746	−	17.8352i	−0.328129	−	0.643990i
$768$	0.453990	−	0.891007i	0.0163820	−	0.0321514i
$769$			13.7815i			0.496974i	0.968635	+	0.248487i	$0.0799334\pi$
$769$			13.7815i			0.496974i	−0.968635	+	0.248487i	$0.920067\pi$
$770$	9.14787	−	21.6613i	0.329666	−	0.780620i
$771$	−6.72865	+	2.18627i	−0.242326	+	0.0787366i
$772$	−20.3109	−	3.21694i	−0.731007	−	0.115780i
$773$	5.21179	+	32.9060i	0.187455	+	1.18354i	0.884508	+	0.466525i	$0.154494\pi$
$773$	5.21179	+	32.9060i	0.187455	+	1.18354i	−0.697053	+	0.717020i	$0.745506\pi$
$774$	5.47169			0.196676
$775$	−26.4088	−	8.80763i	−0.948633	−	0.316379i
$776$	−10.7656			−0.386461
$777$	−5.19187	−	32.7802i	−0.186257	−	1.17598i
$778$	32.1506	+	5.09216i	1.15266	+	0.182563i
$779$	12.9962	−	4.22271i	0.465636	−	0.151294i
$780$	−1.36847	+	3.24040i	−0.0489990	+	0.116025i
$781$			28.7138i			1.02746i
$782$	−3.39656	+	6.66613i	−0.121461	+	0.238380i
$783$	−1.09524	−	2.14953i	−0.0391407	−	0.0768180i
$784$	−16.8060	−	5.46060i	−0.600214	−	0.195021i
$785$	−18.7978	−	4.65023i	−0.670921	−	0.165974i
$786$	3.44621	−	1.11974i	0.122922	−	0.0399399i
$787$	43.5589	−	6.89905i	1.55271	−	0.245925i	0.679647	−	0.733539i	$-0.262133\pi$
$787$	43.5589	−	6.89905i	1.55271	−	0.245925i	0.873059	+	0.487614i	$0.162133\pi$
$788$	−14.4797	−	2.29336i	−0.515818	−	0.0816975i
$789$	9.58401	+	3.11403i	0.341200	+	0.110862i
$790$	−6.22720	+	10.0064i	−0.221554	+	0.356010i
$791$	−80.0563	+	58.1643i	−2.84647	+	2.06808i
$792$	−0.961150	−	1.88636i	−0.0341530	−	0.0670290i
$793$	1.05770	−	6.67808i	0.0375601	−	0.237145i
$794$	10.5348	−	14.5000i	0.373868	−	0.514585i
$795$	1.26648	−	14.7881i	0.0449176	−	0.524479i
$796$	0.701398	−	0.965391i	0.0248604	−	0.0342174i
$797$	−19.5489	−	38.3669i	−0.692458	−	1.35903i	−0.922558	−	0.385859i	$-0.873905\pi$
$797$	−19.5489	−	38.3669i	−0.692458	−	1.35903i	0.230100	−	0.973167i	$-0.426095\pi$
$798$	−6.67042	+	3.39875i	−0.236130	+	0.120314i
$799$	−0.495908	−	1.52625i	−0.0175440	−	0.0539948i
$800$	0.0689382	−	4.99952i	0.00243733	−	0.176760i
$801$			11.1016i			0.392254i
$802$	−14.6333	−	7.45604i	−0.516720	−	0.263282i
$803$	−3.78613	+	23.9047i	−0.133610	+	0.843579i
$804$	4.41828	+	3.21007i	0.155821	+	0.113210i
$805$	55.3779	+	23.3869i	1.95182	+	0.824278i
$806$	−4.02334	−	7.77978i	−0.141716	−	0.274031i
$807$	16.9009	+	16.9009i	0.594940	+	0.594940i
$808$	−4.88024	+	0.772954i	−0.171686	+	0.0271924i
$809$	−21.7920	+	15.8328i	−0.766167	+	0.556653i	−0.900796	−	0.434243i	$-0.857016\pi$
$809$	−21.7920	+	15.8328i	−0.766167	+	0.556653i	0.134629	+	0.990896i	$0.457016\pi$
$810$	−1.44045	−	1.71029i	−0.0506124	−	0.0600935i
$811$	21.3348			0.749167			0.374584	−	0.927193i	$-0.377786\pi$
$811$	21.3348			0.749167			0.374584	+	0.927193i	$0.377786\pi$
$812$	−8.47306	+	8.47306i	−0.297346	+	0.297346i
$813$	−24.5646	−	12.5163i	−0.861518	−	0.438965i
$814$	−13.4540	−	4.37146i	−0.471561	−	0.153220i
$815$	−4.51796	+	0.324248i	−0.158257	+	0.0113579i
$816$	−1.11829	−	0.812485i	−0.0391480	−	0.0284427i
$817$	−7.34823	−	3.74411i	−0.257082	−	0.130990i
$818$	−3.24248	−	20.4722i	−0.113371	−	0.715794i
$819$	6.32122	−	4.59264i	0.220881	−	0.160480i
$820$	13.2721	−	15.3244i	0.463481	−	0.535152i
$821$	29.6184	+	40.7663i	1.03369	+	1.42275i	0.902140	+	0.431443i	$0.141995\pi$
$821$	29.6184	+	40.7663i	1.03369	+	1.42275i	0.131550	+	0.991310i	$0.458005\pi$
$822$	16.3512	+	2.58978i	0.570315	+	0.0903290i
$823$	−12.0874	+	6.15882i	−0.421339	+	0.214683i	−0.651788	−	0.758402i	$-0.725981\pi$
$823$	−12.0874	+	6.15882i	−0.421339	+	0.214683i	0.230449	+	0.973084i	$0.425981\pi$
$824$	2.62557	+	3.61379i	0.0914662	+	0.125892i
$825$	−8.47731	−	6.33953i	−0.295142	−	0.220714i
$826$	−19.5308	−	60.1095i	−0.679562	−	2.09148i
$827$	13.1065	−	2.07587i	0.455758	−	0.0721850i	0.0756651	−	0.997133i	$-0.475892\pi$
$827$	13.1065	−	2.07587i	0.455758	−	0.0721850i	0.380093	+	0.924948i	$0.375892\pi$
$828$	4.82256	−	2.45721i	0.167595	−	0.0853941i
$829$	15.0176	−	46.2195i	0.521584	−	1.60527i	−0.249389	−	0.968403i	$-0.580230\pi$
$829$	15.0176	−	46.2195i	0.521584	−	1.60527i	0.770973	−	0.636868i	$-0.219770\pi$
$830$	0.317037	−	3.70188i	0.0110045	−	0.128494i
$831$	−8.88254			−0.308132
$832$	1.11234	−	1.11234i	0.0385633	−	0.0385633i
$833$	−11.0892	+	21.7638i	−0.384219	+	0.754072i
$834$	3.40105	+	4.68114i	0.117769	+	0.162095i
$835$	5.30160	−	21.4308i	0.183469	−	0.741643i
$836$			3.19098i			0.110363i
$837$	5.56766	−	0.0336125i	0.192447	−	0.00116182i
$838$	4.95352	−	4.95352i	0.171117	−	0.171117i
$839$	27.9408	−	38.4572i	0.964624	−	1.32769i	0.0199077	−	0.999802i	$-0.493663\pi$
$839$	27.9408	−	38.4572i	0.964624	−	1.32769i	0.944716	−	0.327889i	$-0.106337\pi$
$840$	−5.86828	+	9.42962i	−0.202475	+	0.325353i
$841$	−7.16300	−	22.0455i	−0.247000	−	0.760188i
$842$	26.8996	+	26.8996i	0.927022	+	0.927022i
$843$	18.3136	+	18.3136i	0.630754	+	0.630754i
$844$	2.37870	−	0.772888i	0.0818784	−	0.0266039i
$845$	15.4081	−	17.7908i	0.530056	−	0.612021i
$846$	−0.358761	+	1.10415i	−0.0123344	+	0.0379615i
$847$	−5.06439	−	31.9753i	−0.174015	−	1.09868i
$848$	−3.01342	+	5.91418i	−0.103481	+	0.203094i
$849$	9.13810	+	6.63922i	0.313619	+	0.227857i
$850$	−6.81076	−	1.17520i	−0.233607	−	0.0403090i
$851$	11.1758	−	34.3955i	0.383101	−	1.17906i
$852$	2.12167	−	13.3957i	0.0726873	−	0.458930i
$853$	6.71797	−	42.4156i	0.230019	−	1.45228i	−0.554503	−	0.832182i	$-0.687092\pi$
$853$	6.71797	−	42.4156i	0.230019	−	1.45228i	0.784522	−	0.620101i	$-0.212908\pi$
$854$	6.59713	−	20.3039i	0.225749	−	0.694784i
$855$	0.764164	+	3.28250i	0.0261338	+	0.112259i
$856$	9.38734	+	6.82030i	0.320853	+	0.233113i
$857$	−1.12194	+	2.20193i	−0.0383247	+	0.0752165i	−0.909375	−	0.415978i	$-0.863439\pi$
$857$	−1.12194	+	2.20193i	−0.0383247	+	0.0752165i	0.871050	+	0.491194i	$0.163439\pi$
$858$	−0.520989	−	3.28939i	−0.0177863	−	0.112298i
$859$	−4.90629	+	15.1000i	−0.167401	+	0.515206i	−0.999205	−	0.0398626i	$-0.987308\pi$
$859$	−4.90629	+	15.1000i	−0.167401	+	0.515206i	0.831805	+	0.555069i	$0.187308\pi$
$860$	−12.2037	+	0.875842i	−0.416142	+	0.0298660i
$861$	−42.8279	+	13.9156i	−1.45957	+	0.474244i
$862$	4.84213	+	4.84213i	0.164924	+	0.164924i
$863$	21.1145	+	21.1145i	0.718745	+	0.718745i	0.968348	−	0.249603i	$-0.0803003\pi$
$863$	21.1145	+	21.1145i	0.718745	+	0.718745i	−0.249603	+	0.968348i	$0.580300\pi$
$864$	0.309017	+	0.951057i	0.0105130	+	0.0323556i
$865$	−18.4835	−	11.5027i	−0.628457	−	0.391104i
$866$	−7.94699	+	10.9381i	−0.270050	+	0.371692i
$867$	10.6697	−	10.6697i	0.362364	−	0.362364i
$868$	−8.70448	−	26.2494i	−0.295449	−	0.890961i
$869$		−	11.1588i		−	0.378537i
$870$	2.78682	+	4.61885i	0.0944821	+	0.156594i
$871$	5.04970	+	6.95031i	0.171102	+	0.235502i
$872$	7.28933	−	14.3061i	0.246848	−	0.484466i
$873$	7.61240	−	7.61240i	0.257641	−	0.257641i
$874$	−8.15787			−0.275944
$875$	−5.50101	+	55.2594i	−0.185968	+	1.86811i
$876$	3.53266	−	10.8724i	0.119357	−	0.367344i
$877$	21.5288	−	10.9695i	0.726977	−	0.370413i	−0.0510061	−	0.998698i	$-0.516243\pi$
$877$	21.5288	−	10.9695i	0.726977	−	0.370413i	0.777983	+	0.628285i	$0.216243\pi$
$878$	−8.62432	+	1.36596i	−0.291057	+	0.0460989i
$879$	4.02454	+	12.3863i	0.135744	+	0.417778i
$880$	2.44563	+	4.05337i	0.0824422	+	0.136639i
$881$	30.5121	+	41.9963i	1.02798	+	1.41489i	0.906455	+	0.422303i	$0.138778\pi$
$881$	30.5121	+	41.9963i	1.02798	+	1.41489i	0.121524	+	0.992589i	$0.461222\pi$
$882$	15.7449	−	8.02241i	0.530157	−	0.270129i
$883$	−8.92904	−	1.41422i	−0.300486	−	0.0475923i	0.00437095	−	0.999990i	$-0.498609\pi$
$883$	−8.92904	−	1.41422i	−0.300486	−	0.0475923i	−0.304857	+	0.952398i	$0.598609\pi$
$884$	−1.27810	−	1.75916i	−0.0429873	−	0.0591670i
$885$	−28.3801	+	2.03680i	−0.953987	+	0.0684663i
$886$	−0.784742	+	0.570148i	−0.0263639	+	0.0191545i
$887$	0.322226	+	2.03446i	0.0108193	+	0.0683103i	0.992507	−	0.122186i	$-0.0389904\pi$
$887$	0.322226	+	2.03446i	0.0108193	+	0.0683103i	−0.981688	+	0.190496i	$0.938990\pi$
$888$	5.95361	+	3.03352i	0.199790	+	0.101798i
$889$	66.1386	+	48.0525i	2.21822	+	1.61163i
$890$	−1.77700	−	24.7602i	−0.0595653	−	0.829963i
$891$	2.01350	+	0.654225i	0.0674547	+	0.0219173i
$892$	−12.1921	−	6.21219i	−0.408222	−	0.207999i
$893$	1.23734	−	1.23734i	0.0414059	−	0.0414059i
$894$	−3.71633			−0.124293
$895$	−35.4825	−	3.03880i	−1.18605	−	0.101576i
$896$	4.01837	−	2.91952i	0.134244	−	0.0975342i
$897$	8.40945	−	1.33193i	0.280783	−	0.0444717i
$898$	−15.6556	−	15.6556i	−0.522434	−	0.522434i
$899$	−13.2792	−	2.02111i	−0.442885	−	0.0674079i
$900$	3.48645	+	3.58394i	0.116215	+	0.119465i
$901$	7.42280	+	5.39298i	0.247289	+	0.179666i
$902$	−3.00266	+	18.9580i	−0.0999775	+	0.631233i
$903$	24.2156	+	12.3385i	0.805844	+	0.410598i
$904$		−	19.9226i		−	0.662615i
$905$	9.55682	+	4.03597i	0.317679	+	0.134160i
$906$	3.21578	+	9.89715i	0.106837	+	0.328811i
$907$	−48.6579	+	24.7924i	−1.61566	+	0.823219i	−0.616297	+	0.787514i	$0.711368\pi$
$907$	−48.6579	+	24.7924i	−1.61566	+	0.823219i	−0.999362	+	0.0357053i	$0.988632\pi$
$908$	−0.152506	−	0.299310i	−0.00506109	−	0.00993294i
$909$	2.90429	−	3.99741i	0.0963292	−	0.132586i
$910$	−13.3633	+	11.2549i	−0.442989	+	0.373097i
$911$	−14.6289	+	20.1350i	−0.484678	+	0.667102i	−0.979396	−	0.201952i	$-0.935272\pi$
$911$	−14.6289	+	20.1350i	−0.484678	+	0.667102i	0.494717	+	0.869054i	$0.335272\pi$
$912$	0.235783	−	1.48868i	0.00780756	−	0.0492950i
$913$	1.59704	+	3.13436i	0.0528542	+	0.103732i
$914$	−19.2775	+	14.0059i	−0.637644	+	0.463275i
$915$	−8.15985	−	5.07807i	−0.269756	−	0.167876i
$916$	21.6277	+	7.02727i	0.714599	+	0.232187i
$917$	17.7766	+	2.81553i	0.587034	+	0.0929770i
$918$	1.36526	−	0.216236i	0.0450604	−	0.00713687i
$919$	24.6467	−	8.00820i	0.813020	−	0.264166i	0.127144	−	0.991884i	$-0.459419\pi$
$919$	24.6467	−	8.00820i	0.813020	−	0.264166i	0.685876	+	0.727718i	$0.259419\pi$
$920$	−10.3626	+	6.25234i	−0.341644	+	0.206134i
$921$	14.9887	+	4.87011i	0.493893	+	0.160476i
$922$	5.38371	+	10.5661i	0.177303	+	0.347977i
$923$	9.68599	−	19.0098i	0.318818	−	0.625716i
$924$		−	10.5157i		−	0.345940i
$925$	33.4063	+	0.460637i	1.09839	+	0.0151457i
$926$	4.79036	−	1.55648i	0.157421	−	0.0511492i
$927$	−4.41190	−	0.698776i	−0.144906	−	0.0229508i
$928$	−0.377394	−	2.38277i	−0.0123886	−	0.0782184i
$929$	1.10537			0.0362661			0.0181331	−	0.999836i	$-0.494228\pi$
$929$	1.10537			0.0362661			0.0181331	+	0.999836i	$0.494228\pi$
$930$	−12.4124	+	0.966171i	−0.407017	+	0.0316820i
$931$	−26.6341			−0.872898
$932$	−0.733862	−	4.63342i	−0.0240384	−	0.151773i
$933$	−23.0823	−	3.65588i	−0.755682	−	0.119688i
$934$	31.1091	−	10.1080i	1.01792	−	0.330743i
$935$	6.06275	−	2.46244i	0.198273	−	0.0805305i
$936$			1.57308i			0.0514178i
$937$	0.588727	−	1.15544i	0.0192329	−	0.0377467i	−0.881190	−	0.472762i	$-0.843257\pi$
$937$	0.588727	−	1.15544i	0.0192329	−	0.0377467i	0.900423	+	0.435015i	$0.143257\pi$
$938$	12.3150	+	24.1695i	0.402099	+	0.789164i
$939$	−2.35241	−	0.764344i	−0.0767680	−	0.0249434i
$940$	0.623416	−	2.52005i	0.0203336	−	0.0821950i
$941$	44.9994	−	14.6212i	1.46694	−	0.476637i	0.536756	−	0.843737i	$-0.319649\pi$
$941$	44.9994	−	14.6212i	1.46694	−	0.476637i	0.930181	+	0.367100i	$0.119649\pi$
$942$	−8.55341	+	1.35473i	−0.278685	+	0.0441394i
$943$	−48.4669	−	7.67640i	−1.57830	−	0.249978i
$944$	12.1018	+	3.93212i	0.393881	+	0.127980i
$945$	−2.51825	−	10.8172i	−0.0819186	−	0.351885i
$946$	9.37182	−	6.80903i	0.304704	−	0.221381i
$947$	−3.34302	−	6.56105i	−0.108634	−	0.213205i	0.830290	−	0.557332i	$-0.188175\pi$
$947$	−3.34302	−	6.56105i	−0.108634	−	0.213205i	−0.938923	+	0.344127i	$0.888175\pi$
$948$	−0.824530	+	5.20588i	−0.0267795	+	0.169079i
$949$	10.5703	−	14.5488i	0.343128	−	0.472275i
$950$	−2.22976	−	7.19874i	−0.0723430	−	0.233558i
$951$	−14.9054	+	20.5155i	−0.483340	+	0.665261i
$952$	−3.11699	−	6.11744i	−0.101022	−	0.198267i
$953$	−5.73966	+	2.92450i	−0.185926	+	0.0947339i	−0.544476	−	0.838777i	$-0.683271\pi$
$953$	−5.73966	+	2.92450i	−0.185926	+	0.0947339i	0.358550	+	0.933511i	$0.383271\pi$
$954$	−2.05114	−	6.31277i	−0.0664082	−	0.204383i
$955$	−13.8693	+	32.8412i	−0.448800	+	1.06272i
$956$		−	4.22831i		−	0.136753i
$957$	−4.55081	−	2.31875i	−0.147107	−	0.0749546i
$958$	−2.41617	+	15.2551i	−0.0780630	+	0.492870i
$959$	66.5243	+	48.3328i	2.14818	+	1.56075i
$960$	−0.841444	−	2.07171i	−0.0271575	−	0.0668641i
$961$	17.9172	−	25.2977i	0.577975	−	0.816055i
$962$	7.43251	+	7.43251i	0.239634	+	0.239634i
$963$	−11.4605	+	1.81517i	−0.369311	+	0.0584930i
$964$	4.36693	−	3.17276i	0.140649	−	0.102188i
$965$	−35.1706	+	29.6217i	−1.13218	+	0.953555i
$966$	26.8837			0.864968
$967$	−26.8002	+	26.8002i	−0.861836	+	0.861836i	−0.991551	−	0.129715i	$-0.958594\pi$
$967$	−26.8002	+	26.8002i	−0.861836	+	0.861836i	0.129715	+	0.991551i	$0.458594\pi$
$968$	5.80742	+	2.95903i	0.186658	+	0.0951068i
$969$	−1.98145	−	0.643812i	−0.0636533	−	0.0206822i
$970$	−15.7597	+	18.1967i	−0.506013	+	0.584260i
$971$	9.15930	+	6.65462i	0.293936	+	0.213557i	0.724973	−	0.688777i	$-0.241852\pi$
$971$	9.15930	+	6.65462i	0.293936	+	0.213557i	−0.431037	+	0.902334i	$0.641852\pi$
$972$	−0.891007	−	0.453990i	−0.0285790	−	0.0145618i
$973$	4.49592	+	28.3861i	0.144133	+	0.910018i
$974$	31.9791	−	23.2342i	1.02468	−	0.744471i
$975$	3.47386	+	7.05670i	0.111252	+	0.225995i
$976$	2.52638	+	3.47727i	0.0808675	+	0.111305i
$977$	23.4296	+	3.71089i	0.749580	+	0.118722i	0.519524	−	0.854456i	$-0.326109\pi$
$977$	23.4296	+	3.71089i	0.749580	+	0.118722i	0.230056	+	0.973177i	$0.426109\pi$
$978$	−1.80490	+	0.919645i	−0.0577145	+	0.0294070i
$979$	13.8149	+	19.0146i	0.441526	+	0.607708i
$980$	−33.8321	+	20.4129i	−1.08073	+	0.652065i
$981$	4.96162	+	15.2703i	0.158412	+	0.487543i
$982$	17.2986	−	2.73984i	0.552022	−	0.0874317i
$983$	7.53015	−	3.83680i	0.240174	−	0.122375i	−0.329761	−	0.944064i	$-0.606968\pi$
$983$	7.53015	−	3.83680i	0.240174	−	0.122375i	0.569935	+	0.821689i	$0.306968\pi$
$984$	2.80163	−	8.62253i	0.0893127	−	0.274876i
$985$	−25.0732	+	21.1173i	−0.798898	+	0.672854i
$986$	−3.33472			−0.106199
$987$	−4.07756	+	4.07756i	−0.129790	+	0.129790i
$988$	1.07641	−	2.11258i	0.0342452	−	0.0672100i
$989$	17.4075	+	23.9594i	0.553527	+	0.761864i
$990$	−4.59548	−	1.13684i	−0.146054	−	0.0361312i
$991$		−	39.9052i		−	1.26763i	−0.773485	−	0.633815i	$-0.781488\pi$
$991$		−	39.9052i		−	1.26763i	0.773485	−	0.633815i	$-0.218512\pi$
$992$	5.30555	+	1.68854i	0.168451	+	0.0536110i
$993$	12.0267	−	12.0267i	0.381656	−	0.381656i
$994$	39.5965	−	54.4999i	1.25592	−	1.72863i
$995$	−0.604995	−	2.59878i	−0.0191796	−	0.0823870i
$996$	−0.513459	−	1.58027i	−0.0162696	−	0.0500726i
$997$	13.0130	+	13.0130i	0.412127	+	0.412127i	0.882479	−	0.470352i	$-0.155873\pi$
$997$	13.0130	+	13.0130i	0.412127	+	0.412127i	−0.470352	+	0.882479i	$0.655873\pi$
$998$	−27.3164	−	27.3164i	−0.864686	−	0.864686i
$999$	−6.35486	+	2.06482i	−0.201059	+	0.0653280i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.277.12	yes	128
5.3	odd	4		930.2.bj.a.463.12	✓	128
31.15	odd	10		930.2.bj.a.697.12	yes	128
155.108	even	20	inner	930.2.bj.b.883.12	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.463.12	✓	128	5.3	odd	4
930.2.bj.a.697.12	yes	128	31.15	odd	10
930.2.bj.b.277.12	yes	128	1.1	even	1	trivial
930.2.bj.b.883.12	yes	128	155.108	even	20	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.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.869928 + 2.05991i) q^{5} +1.00000i q^{6} +(-2.25496 + 4.42561i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.869928 + 2.05991i) q^{5} +1.00000i q^{6} +(-2.25496 + 4.42561i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.17063 - 0.536977i) q^{10} +(2.01350 - 0.654225i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-1.55371 - 0.246084i) q^{13} +(-4.72388 - 1.53488i) q^{14} +(-1.18146 + 1.89846i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-0.627543 - 1.23162i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(0.885929 - 1.21938i) q^{19} +(0.190804 - 2.22791i) q^{20} +(-2.91952 + 4.01837i) q^{21} +(0.961150 + 1.88636i) q^{22} +(-4.82256 + 2.45721i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(-3.48645 - 3.58394i) q^{25} -1.57308i q^{26} +(0.891007 + 0.453990i) q^{27} +(0.777007 - 4.90583i) q^{28} +(-1.95173 - 1.41802i) q^{29} +(-2.05991 - 0.869928i) q^{30} +(4.94556 - 2.55762i) q^{31} +(0.707107 + 0.707107i) q^{32} +(2.09105 - 0.331190i) q^{33} +(1.11829 - 0.812485i) q^{34} +(-7.15470 - 8.49498i) q^{35} -1.00000 q^{36} +(-4.72481 + 4.72481i) q^{37} +(1.34295 + 0.684269i) q^{38} +(-1.49609 - 0.486109i) q^{39} +(2.23033 - 0.160068i) q^{40} +(7.33477 + 5.32902i) q^{41} +(-4.42561 - 2.25496i) q^{42} +(-0.855962 - 5.40433i) q^{43} +(-1.71278 + 1.24441i) q^{44} +(-1.46390 + 1.69027i) q^{45} +(-3.18138 - 4.37879i) q^{46} +(1.14668 + 0.181616i) q^{47} +(0.891007 - 0.453990i) q^{48} +(-10.3867 - 14.2960i) q^{49} +(2.99442 - 4.00418i) q^{50} +(-0.427149 - 1.31463i) q^{51} +(1.55371 - 0.246084i) q^{52} +(-5.91418 + 3.01342i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-0.403953 + 4.71675i) q^{55} +4.96698 q^{56} +(1.06577 - 1.06577i) q^{57} +(1.09524 - 2.14953i) q^{58} +(7.47934 + 10.2944i) q^{59} +(0.536977 - 2.17063i) q^{60} +4.29814i q^{61} +(3.29978 + 4.48458i) q^{62} +(-3.51218 + 3.51218i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(1.85853 - 2.98643i) q^{65} +(0.654225 + 2.01350i) q^{66} +(-3.86172 - 3.86172i) q^{67} +(0.977421 + 0.977421i) q^{68} +(-5.14757 + 1.67255i) q^{69} +(7.27115 - 8.39552i) q^{70} +(-4.19110 + 12.8989i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(-5.18998 + 10.1859i) q^{73} +(-5.40576 - 3.92752i) q^{74} +(-2.88287 - 4.08522i) q^{75} +(-0.465760 + 1.43346i) q^{76} +(-1.64501 + 10.3862i) q^{77} +(0.246084 - 1.55371i) q^{78} +(1.62876 - 5.01280i) q^{79} +(0.506998 + 2.17783i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-4.11600 + 8.07811i) q^{82} +(0.259930 + 1.64113i) q^{83} +(1.53488 - 4.72388i) q^{84} +(3.08295 - 0.221259i) q^{85} +(5.20389 - 1.69085i) q^{86} +(-1.70588 - 1.70588i) q^{87} +(-1.49703 - 1.49703i) q^{88} +(3.43057 + 10.5582i) q^{89} +(-1.89846 - 1.18146i) q^{90} +(4.59264 - 6.32122i) q^{91} +(3.82720 - 3.82720i) q^{92} +(5.28478 - 1.75247i) q^{93} +1.16097i q^{94} +(1.74111 + 2.88570i) q^{95} +(0.587785 + 0.809017i) q^{96} +(4.88746 - 9.59218i) q^{97} +(12.4952 - 12.4952i) q^{98} +2.11712 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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