LMFDB - Embedded newform 558.2.bh.a.203.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [558,2,Mod(11,558)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("558.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(558, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([5, 23])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 558 = 2 \cdot 3^{2} \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	558.bh (of order $30$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$4.45565243279$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			203.15
Character	$\chi$	$=$	558.203
Dual form			558.2.bh.a.11.15

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.207912 - 0.978148i) q^{2} +(1.64816 - 0.532508i) q^{3} +(-0.913545 + 0.406737i) q^{4} +(1.35823 - 0.784174i) q^{5} +(-0.863543 - 1.50143i) q^{6} +(-0.0650157 + 0.0289468i) q^{7} +(0.587785 + 0.809017i) q^{8} +(2.43287 - 1.75532i) q^{9} +(-1.04943 - 1.16551i) q^{10} +(-4.72150 - 3.43037i) q^{11} +(-1.28908 + 1.15684i) q^{12} +(-1.58931 - 1.43102i) q^{13} +(0.0418318 + 0.0575765i) q^{14} +(1.82100 - 2.01571i) q^{15} +(0.669131 - 0.743145i) q^{16} +(0.552343 + 0.245919i) q^{17} +(-2.22278 - 2.01476i) q^{18} +(6.86216 - 1.45860i) q^{19} +(-0.921852 + 1.26882i) q^{20} +(-0.0917419 + 0.0823304i) q^{21} +(-2.37375 + 5.33154i) q^{22} +(-0.289136 - 2.75094i) q^{23} +(1.39957 + 1.02039i) q^{24} +(-1.27014 + 2.19995i) q^{25} +(-1.06931 + 1.85211i) q^{26} +(3.07505 - 4.18857i) q^{27} +(0.0476210 - 0.0528885i) q^{28} +(6.41299 - 1.36312i) q^{29} +(-2.35027 - 1.36212i) q^{30} +(4.66817 + 3.03450i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-9.60849 - 3.13957i) q^{33} +(0.125706 - 0.591403i) q^{34} +(-0.0656068 + 0.0903000i) q^{35} +(-1.50859 + 2.59310i) q^{36} +(-4.86239 + 2.80730i) q^{37} +(-2.85345 - 6.40895i) q^{38} +(-3.38147 - 1.51224i) q^{39} +(1.43276 + 0.637904i) q^{40} +(0.182671 + 0.859398i) q^{41} +(0.0996055 + 0.0726197i) q^{42} +(1.16953 - 1.05305i) q^{43} +(5.70856 + 1.21339i) q^{44} +(1.92792 - 4.29192i) q^{45} +(-2.63071 + 0.854771i) q^{46} +(-2.81575 - 2.53531i) q^{47} +(0.707105 - 1.58114i) q^{48} +(-4.68053 + 5.19825i) q^{49} +(2.41596 + 0.784991i) q^{50} +(1.04130 + 0.111187i) q^{51} +(2.03396 + 0.660873i) q^{52} +(0.596147 + 5.67196i) q^{53} +(-4.73637 - 2.13700i) q^{54} +(-9.10288 - 0.956751i) q^{55} +(-0.0616337 - 0.0355843i) q^{56} +(10.5332 - 6.05816i) q^{57} +(-2.66667 - 5.98944i) q^{58} +(6.14797 - 1.99760i) q^{59} +(-0.843704 + 2.58211i) q^{60} +(-9.71142 + 5.60689i) q^{61} +(1.99762 - 5.19707i) q^{62} +(-0.107364 + 0.184547i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(-3.28082 - 0.697359i) q^{65} +(-1.07324 + 10.0513i) q^{66} +(5.46242 + 9.46118i) q^{67} -0.604615 q^{68} +(-1.94144 - 4.38003i) q^{69} +(0.101967 + 0.0453987i) q^{70} +(4.95717 - 0.521020i) q^{71} +(2.85009 + 0.936485i) q^{72} +(4.35802 + 9.78828i) q^{73} +(3.75690 + 4.17246i) q^{74} +(-0.921909 + 4.30224i) q^{75} +(-5.67563 + 4.12359i) q^{76} +(0.406270 + 0.0863553i) q^{77} +(-0.776142 + 3.62199i) q^{78} +(-11.0842 + 1.16500i) q^{79} +(0.326078 - 1.53408i) q^{80} +(2.83773 - 8.54092i) q^{81} +(0.802639 - 0.357358i) q^{82} +(-3.66139 + 11.2686i) q^{83} +(0.0503236 - 0.112527i) q^{84} +(0.943052 - 0.0991187i) q^{85} +(-1.27319 - 0.925029i) q^{86} +(9.84377 - 5.66161i) q^{87} -5.83609i q^{88} +(-7.90469 - 5.74310i) q^{89} +(-4.59896 - 0.993454i) q^{90} +(0.144754 + 0.0470333i) q^{91} +(1.38305 + 2.39551i) q^{92} +(9.30979 + 2.51551i) q^{93} +(-1.89448 + 3.28134i) q^{94} +(8.17660 - 7.36224i) q^{95} +(-1.69360 - 0.362916i) q^{96} +(1.91022 - 18.1746i) q^{97} +(6.05779 + 3.49747i) q^{98} +(-17.5082 - 0.0579237i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q - 32 q^{4} - 6 q^{5} - 2 q^{7} - 8 q^{9} - 4 q^{15} + 32 q^{16} - 8 q^{18} - 4 q^{19} - 6 q^{21} + 18 q^{23} + 134 q^{25} - 12 q^{26} - 18 q^{28} - 18 q^{30} - 50 q^{31} - 30 q^{33} - 4 q^{36} + 72 q^{37}+ \cdots - 66 q^{99}+O(q^{100}) $ 256 * q - 32 * q^4 - 6 * q^5 - 2 * q^7 - 8 * q^9 - 4 * q^15 + 32 * q^16 - 8 * q^18 - 4 * q^19 - 6 * q^21 + 18 * q^23 + 134 * q^25 - 12 * q^26 - 18 * q^28 - 18 * q^30 - 50 * q^31 - 30 * q^33 - 4 * q^36 + 72 * q^37 - 54 * q^38 + 8 * q^39 + 24 * q^41 - 14 * q^43 - 30 * q^45 - 24 * q^47 + 10 * q^48 + 30 * q^49 + 52 * q^51 - 90 * q^53 - 96 * q^57 + 18 * q^58 + 20 * q^60 + 42 * q^61 - 90 * q^62 + 124 * q^63 + 64 * q^64 + 60 * q^65 - 12 * q^66 + 8 * q^67 + 36 * q^69 - 6 * q^70 - 6 * q^71 - 16 * q^72 + 42 * q^73 - 24 * q^74 - 96 * q^75 + 12 * q^76 - 90 * q^77 + 20 * q^78 + 14 * q^79 + 6 * q^80 - 184 * q^81 - 72 * q^83 - 8 * q^84 - 72 * q^86 - 74 * q^87 - 36 * q^89 - 92 * q^90 - 10 * q^91 - 18 * q^92 - 62 * q^93 - 150 * q^95 + 42 * q^97 - 48 * q^98 - 66 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/558\mathbb{Z}\right)^\times$.

$n$	$127$	$497$
$\chi(n)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.207912	−	0.978148i	−0.147016	−	0.691655i
$2$	−0.207912	−	0.978148i	−0.147016	−	0.691655i
$3$	1.64816	−	0.532508i	0.951566	−	0.307443i
$3$	1.64816	−	0.532508i	0.951566	−	0.307443i
$4$	−0.913545	+	0.406737i	−0.456773	+	0.203368i
$5$	1.35823	−	0.784174i	0.607418	−	0.350693i	−0.164536	−	0.986371i	$-0.552613\pi$
$5$	1.35823	−	0.784174i	0.607418	−	0.350693i	0.771954	+	0.635678i	$0.219279\pi$
$6$	−0.863543	−	1.50143i	−0.352540	−	0.612956i
$7$	−0.0650157	+	0.0289468i	−0.0245736	+	0.0109409i	−0.418987	−	0.907992i	$-0.637615\pi$
$7$	−0.0650157	+	0.0289468i	−0.0245736	+	0.0109409i	0.394413	+	0.918933i	$0.370948\pi$
$8$	0.587785	+	0.809017i	0.207813	+	0.286031i
$9$	2.43287	−	1.75532i	0.810957	−	0.585106i
$10$	−1.04943	−	1.16551i	−0.331859	−	0.368566i
$11$	−4.72150	−	3.43037i	−1.42359	−	1.03430i	−0.991167	−	0.132622i	$-0.957660\pi$
$11$	−4.72150	−	3.43037i	−1.42359	−	1.03430i	−0.432418	−	0.901673i	$-0.642340\pi$
$12$	−1.28908	+	1.15684i	−0.372125	+	0.333950i
$13$	−1.58931	−	1.43102i	−0.440796	−	0.396894i	0.418628	−	0.908158i	$-0.362511\pi$
$13$	−1.58931	−	1.43102i	−0.440796	−	0.396894i	−0.859424	+	0.511264i	$0.829178\pi$
$14$	0.0418318	+	0.0575765i	0.0111800	+	0.0153880i
$15$	1.82100	−	2.01571i	0.470181	−	0.520455i
$16$	0.669131	−	0.743145i	0.167283	−	0.185786i
$17$	0.552343	+	0.245919i	0.133963	+	0.0596441i	0.472623	−	0.881265i	$-0.343307\pi$
$17$	0.552343	+	0.245919i	0.133963	+	0.0596441i	−0.338660	+	0.940909i	$0.609974\pi$
$18$	−2.22278	−	2.01476i	−0.523915	−	0.474883i
$19$	6.86216	−	1.45860i	1.57429	−	0.334625i	0.663719	−	0.747982i	$-0.268977\pi$
$19$	6.86216	−	1.45860i	1.57429	−	0.334625i	0.910569	+	0.413356i	$0.135644\pi$
$20$	−0.921852	+	1.26882i	−0.206132	+	0.283717i
$21$	−0.0917419	+	0.0823304i	−0.0200197	+	0.0179660i
$22$	−2.37375	+	5.33154i	−0.506086	+	1.13669i
$23$	−0.289136	−	2.75094i	−0.0602890	−	0.573612i	−0.982414	−	0.186718i	$-0.940215\pi$
$23$	−0.289136	−	2.75094i	−0.0602890	−	0.573612i	0.922125	−	0.386893i	$-0.126452\pi$
$24$	1.39957	+	1.02039i	0.285687	+	0.208286i
$25$	−1.27014	+	2.19995i	−0.254029	+	0.439990i
$26$	−1.06931	+	1.85211i	−0.209710	+	0.363228i
$27$	3.07505	−	4.18857i	0.591793	−	0.806090i
$28$	0.0476210	−	0.0528885i	0.00899953	−	0.00999499i
$29$	6.41299	−	1.36312i	1.19086	−	0.253126i	0.430479	−	0.902601i	$-0.358345\pi$
$29$	6.41299	−	1.36312i	1.19086	−	0.253126i	0.760383	+	0.649475i	$0.225011\pi$
$30$	−2.35027	−	1.36212i	−0.429099	−	0.248688i
$31$	4.66817	+	3.03450i	0.838428	+	0.545012i
$31$	4.66817	+	3.03450i	0.838428	+	0.545012i
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	−9.60849	−	3.13957i	−1.67262	−	0.546529i
$34$	0.125706	−	0.591403i	0.0215585	−	0.101425i
$35$	−0.0656068	+	0.0903000i	−0.0110896	+	0.0152635i
$36$	−1.50859	+	2.59310i	−0.251431	+	0.432183i
$37$	−4.86239	+	2.80730i	−0.799372	+	0.461517i	−0.843251	−	0.537519i	$-0.819361\pi$
$37$	−4.86239	+	2.80730i	−0.799372	+	0.461517i	0.0438798	+	0.999037i	$0.486028\pi$
$38$	−2.85345	−	6.40895i	−0.462890	−	1.03967i
$39$	−3.38147	−	1.51224i	−0.541469	−	0.242151i
$40$	1.43276	+	0.637904i	0.226539	+	0.100862i
$41$	0.182671	+	0.859398i	0.0285284	+	0.134215i	0.990107	−	0.140314i	$-0.0448112\pi$
$41$	0.182671	+	0.859398i	0.0285284	+	0.134215i	−0.961579	+	0.274530i	$0.911478\pi$
$42$	0.0996055	+	0.0726197i	0.0153695	+	0.0112055i
$43$	1.16953	−	1.05305i	0.178351	−	0.160588i	−0.575120	−	0.818069i	$-0.695045\pi$
$43$	1.16953	−	1.05305i	0.178351	−	0.160588i	0.753471	+	0.657481i	$0.228378\pi$
$44$	5.70856	+	1.21339i	0.860598	+	0.182926i
$45$	1.92792	−	4.29192i	0.287398	−	0.639801i
$46$	−2.63071	+	0.854771i	−0.387878	+	0.126029i
$47$	−2.81575	−	2.53531i	−0.410719	−	0.369813i	0.437716	−	0.899114i	$-0.355788\pi$
$47$	−2.81575	−	2.53531i	−0.410719	−	0.369813i	−0.848434	+	0.529301i	$0.822454\pi$
$48$	0.707105	−	1.58114i	0.102062	−	0.228218i
$49$	−4.68053	+	5.19825i	−0.668646	+	0.742607i
$50$	2.41596	+	0.784991i	0.341668	+	0.111015i
$51$	1.04130	+	0.111187i	0.145812	+	0.0155693i
$52$	2.03396	+	0.660873i	0.282059	+	0.0916465i
$53$	0.596147	+	5.67196i	0.0818871	+	0.779104i	0.955997	+	0.293376i	$0.0947788\pi$
$53$	0.596147	+	5.67196i	0.0818871	+	0.779104i	−0.874110	+	0.485728i	$0.838555\pi$
$54$	−4.73637	−	2.13700i	−0.644539	−	0.290808i
$55$	−9.10288	−	0.956751i	−1.22743	−	0.129008i
$56$	−0.0616337	−	0.0355843i	−0.00823615	−	0.00475515i
$57$	10.5332	−	6.05816i	1.39516	−	0.802423i
$58$	−2.66667	−	5.98944i	−0.350151	−	0.786452i
$59$	6.14797	−	1.99760i	0.800398	−	0.260065i	0.119872	−	0.992789i	$-0.461752\pi$
$59$	6.14797	−	1.99760i	0.800398	−	0.260065i	0.680526	+	0.732724i	$0.261752\pi$
$60$	−0.843704	+	2.58211i	−0.108922	+	0.333349i
$61$	−9.71142	+	5.60689i	−1.24342	+	0.717889i	−0.969789	−	0.243946i	$-0.921558\pi$
$61$	−9.71142	+	5.60689i	−1.24342	+	0.717889i	−0.273631	+	0.961835i	$0.588225\pi$
$62$	1.99762	−	5.19707i	0.253698	−	0.660028i
$63$	−0.107364	+	0.184547i	−0.0135266	+	0.0232507i
$64$	−0.309017	+	0.951057i	−0.0386271	+	0.118882i
$65$	−3.28082	−	0.697359i	−0.406935	−	0.0864968i
$66$	−1.07324	+	10.0513i	−0.132107	+	1.23723i
$67$	5.46242	+	9.46118i	0.667340	+	1.15587i	0.978645	+	0.205557i	$0.0659007\pi$
$67$	5.46242	+	9.46118i	0.667340	+	1.15587i	−0.311305	+	0.950310i	$0.600766\pi$
$68$	−0.604615			−0.0733203
$69$	−1.94144	−	4.38003i	−0.233722	−	0.527294i
$70$	0.101967	+	0.0453987i	0.0121874	+	0.00542618i
$71$	4.95717	−	0.521020i	0.588308	−	0.0618336i	0.194302	−	0.980942i	$-0.437756\pi$
$71$	4.95717	−	0.521020i	0.588308	−	0.0618336i	0.394006	+	0.919108i	$0.371089\pi$
$72$	2.85009	+	0.936485i	0.335886	+	0.110366i
$73$	4.35802	+	9.78828i	0.510068	+	1.14563i	0.966685	+	0.255968i	$0.0823943\pi$
$73$	4.35802	+	9.78828i	0.510068	+	1.14563i	−0.456617	+	0.889663i	$0.650939\pi$
$74$	3.75690	+	4.17246i	0.436731	+	0.485039i
$75$	−0.921909	+	4.30224i	−0.106453	+	0.496779i
$76$	−5.67563	+	4.12359i	−0.651040	+	0.473008i
$77$	0.406270	+	0.0863553i	0.0462987	+	0.00984110i
$78$	−0.776142	+	3.62199i	−0.0878808	+	0.410109i
$79$	−11.0842	+	1.16500i	−1.24707	+	0.131072i	−0.704967	−	0.709240i	$-0.749038\pi$
$79$	−11.0842	+	1.16500i	−1.24707	+	0.131072i	−0.542103	+	0.840312i	$0.682372\pi$
$80$	0.326078	−	1.53408i	0.0364566	−	0.171515i
$81$	2.83773	−	8.54092i	0.315303	−	0.948991i
$82$	0.802639	−	0.357358i	0.0886367	−	0.0394636i
$83$	−3.66139	+	11.2686i	−0.401890	+	1.23689i	0.521575	+	0.853206i	$0.325345\pi$
$83$	−3.66139	+	11.2686i	−0.401890	+	1.23689i	−0.923464	+	0.383684i	$0.874655\pi$
$84$	0.0503236	−	0.112527i	0.00549076	−	0.0122777i
$85$	0.943052	−	0.0991187i	0.102288	−	0.0107509i
$86$	−1.27319	−	0.925029i	−0.137292	−	0.0997485i
$87$	9.84377	−	5.66161i	1.05536	−	0.606988i
$88$		−	5.83609i		−	0.622130i
$89$	−7.90469	−	5.74310i	−0.837896	−	0.608767i	0.0838863	−	0.996475i	$-0.473267\pi$
$89$	−7.90469	−	5.74310i	−0.837896	−	0.608767i	−0.921782	+	0.387708i	$0.873267\pi$
$90$	−4.59896	−	0.993454i	−0.484773	−	0.104719i
$91$	0.144754	+	0.0470333i	0.0151743	+	0.00493043i
$92$	1.38305	+	2.39551i	0.144193	+	0.249749i
$93$	9.30979	+	2.51551i	0.965380	+	0.260846i
$94$	−1.89448	+	3.28134i	−0.195401	+	0.338444i
$95$	8.17660	−	7.36224i	0.838901	−	0.755350i
$96$	−1.69360	−	0.362916i	−0.172853	−	0.0370399i
$97$	1.91022	−	18.1746i	0.193954	−	1.84535i	−0.274166	−	0.961682i	$-0.588402\pi$
$97$	1.91022	−	18.1746i	0.193954	−	1.84535i	0.468120	−	0.883665i	$-0.344932\pi$
$98$	6.05779	+	3.49747i	0.611929	+	0.353298i
$99$	−17.5082	−	0.0579237i	−1.75964	−	0.00582155i
$100$	0.265532	−	2.52637i	0.0265532	−	0.252637i
$101$	4.26368	−	9.57639i	0.424252	−	0.952886i	−0.567340	−	0.823484i	$-0.692027\pi$
$101$	4.26368	−	9.57639i	0.424252	−	0.952886i	0.991592	−	0.129402i	$-0.0413059\pi$
$102$	−0.107742	−	1.04167i	−0.0106680	−	0.103140i
$103$	−4.39349	+	0.933865i	−0.432903	+	0.0920165i	−0.419209	−	0.907890i	$-0.637693\pi$
$103$	−4.39349	+	0.933865i	−0.432903	+	0.0920165i	−0.0136944	+	0.999906i	$0.504359\pi$
$104$	0.223548	−	2.12691i	0.0219206	−	0.208561i
$105$	−0.0600452	+	0.183765i	−0.00585981	+	0.0179336i
$106$	5.42407	−	1.76239i	0.526832	−	0.171178i
$107$	3.05798	−	6.86834i	0.295626	−	0.663987i	−0.703272	−	0.710921i	$-0.748278\pi$
$107$	3.05798	−	6.86834i	0.295626	−	0.663987i	0.998898	+	0.0469338i	$0.0149450\pi$
$108$	−1.10555	+	5.07718i	−0.106382	+	0.488552i
$109$	5.85225	+	18.0114i	0.560544	+	1.72518i	0.680835	+	0.732437i	$0.261617\pi$
$109$	5.85225	+	18.0114i	0.560544	+	1.72518i	−0.120291	+	0.992739i	$0.538383\pi$
$110$	0.956751	+	9.10288i	0.0912227	+	0.867926i
$111$	−6.51909	+	7.21614i	−0.618765	+	0.684926i
$112$	−0.0219923	+	0.0676853i	−0.00207808	+	0.00639566i
$113$	5.72474	+	0.601695i	0.538539	+	0.0566027i	0.369893	−	0.929074i	$-0.379394\pi$
$113$	5.72474	+	0.601695i	0.538539	+	0.0566027i	0.168645	+	0.985677i	$0.446061\pi$
$114$	−8.11576	−	9.04350i	−0.760110	−	0.847001i
$115$	−2.54993	−	3.50968i	−0.237782	−	0.327279i
$116$	−5.30412	+	3.85367i	−0.492476	+	0.357804i
$117$	−6.37849	−	0.691749i	−0.589691	−	0.0639522i
$118$	−3.23218	−	5.59830i	−0.297546	−	0.515365i
$119$	−0.0430295			−0.00394451
$120$	2.70110	+	0.288416i	0.246576	+	0.0263286i
$121$	7.12592	+	21.9313i	0.647811	+	1.99376i
$122$	7.50348	+	8.33346i	0.679333	+	0.754476i
$123$	0.758707	+	1.31915i	0.0684103	+	0.118944i
$124$	−5.49883	−	0.873439i	−0.493809	−	0.0784371i
$125$			11.8258i			1.05773i
$126$	0.202836	+	0.0666483i	0.0180701	+	0.00593750i
$127$	8.15952	+	7.34687i	0.724041	+	0.651929i	0.946386	−	0.323039i	$-0.104704\pi$
$127$	8.15952	+	7.34687i	0.724041	+	0.651929i	−0.222345	+	0.974968i	$0.571371\pi$
$128$	0.994522	+	0.104528i	0.0879041	+	0.00923910i
$129$	1.36681	−	2.35837i	0.120341	−	0.207643i
$130$			3.35411i			0.294175i
$131$	2.09675	−	2.88592i	0.183193	−	0.252144i	−0.707537	−	0.706677i	$-0.750194\pi$
$131$	2.09675	−	2.88592i	0.183193	−	0.252144i	0.890730	+	0.454532i	$0.150194\pi$
$132$	10.0548	−	1.03999i	0.875155	−	0.0905191i
$133$	−0.403926	+	0.293470i	−0.0350249	+	0.0254471i
$134$	8.11873	−	7.31014i	0.701352	−	0.631500i
$135$	0.892051	−	8.10040i	0.0767755	−	0.697172i
$136$	0.125706	+	0.591403i	0.0107792	+	0.0507123i
$137$	1.75078	+	5.38834i	0.149579	+	0.460357i	0.997571	−	0.0696516i	$-0.0221888\pi$
$137$	1.75078	+	5.38834i	0.149579	+	0.460357i	−0.847992	+	0.530008i	$0.822189\pi$
$138$	−3.88067	+	2.80968i	−0.330345	+	0.239176i
$139$	0.142302	−	0.669477i	0.0120699	−	0.0567843i	−0.971701	−	0.236216i	$-0.924093\pi$
$139$	0.142302	−	0.669477i	0.0120699	−	0.0567843i	0.983770	+	0.179432i	$0.0574260\pi$
$140$	0.0232065	−	0.109178i	0.00196130	−	0.00922721i
$141$	−5.99087	−	2.67919i	−0.504523	−	0.225629i
$142$	−1.54029	−	4.74052i	−0.129258	−	0.397815i
$143$	2.59499	+	12.2085i	0.217004	+	1.02093i
$144$	0.323454	−	2.98251i	0.0269545	−	0.248543i
$145$	7.64138	−	6.88033i	0.634582	−	0.571380i
$146$	8.66830	−	6.29789i	0.717394	−	0.521217i
$147$	−4.94615	+	11.0600i	−0.407952	+	0.912211i
$148$	3.30018	−	4.54231i	0.271273	−	0.373375i
$149$			15.0179i			1.23031i	0.788405	+	0.615156i	$0.210907\pi$
$149$			15.0179i			1.23031i	−0.788405	+	0.615156i	$0.789093\pi$
$150$	4.39990	+	0.00727824i	0.359250	+	0.000594266i
$151$	0.552724	+	0.0580937i	0.0449801	+	0.00472759i	0.126992	−	0.991904i	$-0.459468\pi$
$151$	0.552724	+	0.0580937i	0.0449801	+	0.00472759i	−0.0820117	+	0.996631i	$0.526134\pi$
$152$	5.21351	+	4.69427i	0.422871	+	0.380755i
$153$	1.77545	−	0.371248i	0.143536	−	0.0300136i
$154$		−	0.415346i		−	0.0334695i
$155$	8.72002	+	0.460891i	0.700409	+	0.0370196i
$156$	3.70421	+	0.00612744i	0.296574	+	0.000490588i
$157$	7.56712	+	8.40414i	0.603922	+	0.670724i	0.965133	−	0.261761i	$-0.0843031\pi$
$157$	7.56712	+	8.40414i	0.603922	+	0.670724i	−0.361211	+	0.932484i	$0.617636\pi$
$158$	3.44407	+	10.5998i	0.273996	+	0.843272i
$159$	4.00291	+	9.03086i	0.317451	+	0.716193i
$160$	−1.56835			−0.123989
$161$	0.0984295	+	0.170485i	0.00775733	+	0.0134361i
$162$	−8.94428	−	0.999959i	−0.702729	−	0.0785642i
$163$	9.30747	−	6.76228i	0.729018	−	0.529662i	−0.160235	−	0.987079i	$-0.551225\pi$
$163$	9.30747	−	6.76228i	0.729018	−	0.529662i	0.889253	+	0.457417i	$0.151225\pi$
$164$	−0.516427	−	0.710801i	−0.0403262	−	0.0555042i
$165$	−15.5125	+	3.27047i	−1.20765	+	0.254606i
$166$	11.7836	+	1.23851i	0.914585	+	0.0961267i
$167$	−2.71049	+	8.34203i	−0.209744	+	0.645526i	0.789741	+	0.613440i	$0.210215\pi$
$167$	−2.71049	+	8.34203i	−0.209744	+	0.645526i	−0.999485	+	0.0320854i	$0.989785\pi$
$168$	−0.120531	−	0.0258282i	−0.00929919	−	0.00199269i
$169$	−0.880785	−	8.38011i	−0.0677527	−	0.644624i
$170$	−0.293024	−	0.901836i	−0.0224739	−	0.0691676i
$171$	14.1345	−	15.5939i	1.08089	−	1.19249i
$172$	−0.640103	+	1.43770i	−0.0488074	+	0.109623i
$173$	−4.62790	+	1.50370i	−0.351853	+	0.114324i	−0.479611	−	0.877481i	$-0.659222\pi$
$173$	−4.62790	+	1.50370i	−0.351853	+	0.114324i	0.127758	+	0.991805i	$0.459222\pi$
$174$	−7.58453	−	8.45154i	−0.574981	−	0.640710i
$175$	0.0188975	−	0.179798i	0.00142852	−	0.0135914i
$176$	−5.70856	+	1.21339i	−0.430299	+	0.0914628i
$177$	9.06911	−	6.56620i	0.681676	−	0.493546i
$178$	−3.97412	+	8.92601i	−0.297873	+	0.669033i
$179$	1.28822	−	12.2566i	0.0962858	−	0.916098i	−0.834617	−	0.550831i	$-0.814311\pi$
$179$	1.28822	−	12.2566i	0.0962858	−	0.916098i	0.930903	−	0.365267i	$-0.119022\pi$
$180$	−0.0155660	+	4.70502i	−0.00116022	+	0.350691i
$181$	15.2774	+	8.82041i	1.13556	+	0.655616i	0.945327	−	0.326123i	$-0.105742\pi$
$181$	15.2774	+	8.82041i	1.13556	+	0.655616i	0.190233	+	0.981739i	$0.439076\pi$
$182$	0.0159095	−	0.151369i	0.00117929	−	0.0112202i
$183$	−13.0203	+	14.4125i	−0.962486	+	1.06540i
$184$	2.05561	−	1.85088i	0.151542	−	0.136449i
$185$	−4.40282	+	7.62591i	−0.323702	+	0.560668i
$186$	0.524927	−	9.62935i	0.0384895	−	0.706058i
$187$	−1.76429	−	3.05585i	−0.129018	−	0.223466i
$188$	3.60352	+	1.17085i	0.262813	+	0.0853932i
$189$	−0.0786804	+	0.361335i	−0.00572315	+	0.0262833i
$190$	−8.90137	−	6.46722i	−0.645773	−	0.469182i
$191$		−	15.2794i		−	1.10558i	−0.833321	−	0.552789i	$-0.813563\pi$
$191$		−	15.2794i		−	1.10558i	0.833321	−	0.552789i	$-0.186437\pi$
$192$	−0.00286513	+	1.73205i	−0.000206773	+	0.125000i
$193$	−13.8431	−	10.0576i	−0.996448	−	0.723962i	−0.0351244	−	0.999383i	$-0.511183\pi$
$193$	−13.8431	−	10.0576i	−0.996448	−	0.723962i	−0.961324	+	0.275421i	$0.911183\pi$
$194$	−18.1746	+	1.91022i	−1.30486	+	0.137146i
$195$	−5.77867	+	0.597699i	−0.413819	+	0.0428021i
$196$	2.16155	−	6.65258i	0.154397	−	0.475184i
$197$	−7.31315	+	3.25603i	−0.521041	+	0.231982i	−0.650367	−	0.759620i	$-0.725385\pi$
$197$	−7.31315	+	3.25603i	−0.521041	+	0.231982i	0.129327	+	0.991602i	$0.458718\pi$
$198$	3.58350	+	17.1376i	0.254668	+	1.21792i
$199$	1.55324	−	7.30743i	0.110106	−	0.518010i	−0.888180	−	0.459495i	$-0.848030\pi$
$199$	1.55324	−	7.30743i	0.110106	−	0.518010i	0.998287	−	0.0585144i	$-0.0186364\pi$
$200$	−2.52637	+	0.265532i	−0.178641	+	0.0187760i
$201$	14.0411	+	12.6848i	0.990382	+	0.894715i
$202$	−10.2536	−	2.17947i	−0.721440	−	0.153347i
$203$	−0.377487	+	0.274260i	−0.0264944	+	0.0192493i
$204$	−0.996503	+	0.321962i	−0.0697691	+	0.0225418i
$205$	0.922026	+	1.02401i	0.0643971	+	0.0715202i
$206$	1.82692	+	4.10332i	0.127287	+	0.285892i
$207$	−5.53221	−	6.18517i	−0.384515	−	0.429899i
$208$	−2.12691	+	0.223548i	−0.147475	+	0.0155002i
$209$	−37.4032	−	16.6530i	−2.58724	−	1.15191i
$210$	0.192234	+	0.0205261i	0.0132654	+	0.00141644i
$211$	9.49340			0.653552			0.326776	−	0.945102i	$-0.394038\pi$
$211$	9.49340			0.653552			0.326776	+	0.945102i	$0.394038\pi$
$212$	−2.85160	−	4.93912i	−0.195849	−	0.339220i
$213$	7.89277	−	3.49845i	0.540804	−	0.239710i
$214$	−7.35404	−	1.56315i	−0.502712	−	0.106855i
$215$	0.762714	−	2.34739i	0.0520166	−	0.160091i
$216$	5.19609	+	0.0257860i	0.353549	+	0.00175452i
$217$	−0.391343	−	0.0621613i	−0.0265661	−	0.00421979i
$218$	16.4010	−	9.46913i	1.11082	−	0.641331i
$219$	12.3951	+	13.8120i	0.837580	+	0.933328i
$220$	8.70504	−	2.82844i	0.586894	−	0.190693i
$221$	−0.525929	−	1.18126i	−0.0353778	−	0.0794599i
$222$	8.41385	+	4.87631i	0.564700	+	0.327277i
$223$	2.42599	+	1.40065i	0.162457	+	0.0937944i	0.579024	−	0.815310i	$-0.303434\pi$
$223$	2.42599	+	1.40065i	0.162457	+	0.0937944i	−0.416567	+	0.909105i	$0.636767\pi$
$224$	0.0707786	+	0.00743914i	0.00472910	+	0.000497048i
$225$	0.771518	+	7.58170i	0.0514345	+	0.505447i
$226$	−0.601695	−	5.72474i	−0.0400241	−	0.380804i
$227$	−10.0681	−	3.27131i	−0.668240	−	0.217124i	−0.0448007	−	0.998996i	$-0.514265\pi$
$227$	−10.0681	−	3.27131i	−0.668240	−	0.217124i	−0.623440	+	0.781872i	$0.714265\pi$
$228$	−7.15852	+	9.81866i	−0.474084	+	0.650257i
$229$	−22.8563	−	7.42646i	−1.51039	−	0.490754i	−0.567359	−	0.823471i	$-0.692035\pi$
$229$	−22.8563	−	7.42646i	−1.51039	−	0.490754i	−0.943027	+	0.332717i	$0.892035\pi$
$230$	−2.90282	+	3.22391i	−0.191407	+	0.212578i
$231$	0.715583	−	0.0740142i	0.0470819	−	0.00486978i
$232$	4.87225	+	4.38699i	0.319879	+	0.288020i
$233$	−26.7984	+	8.70731i	−1.75562	+	0.570435i	−0.996731	−	0.0807869i	$-0.974257\pi$
$233$	−26.7984	+	8.70731i	−1.75562	+	0.570435i	−0.758887	+	0.651222i	$0.774257\pi$
$234$	0.649529	+	6.38292i	0.0424611	+	0.417265i
$235$	−5.81255	−	1.23550i	−0.379169	−	0.0805949i
$236$	−4.80396	+	4.32550i	−0.312711	+	0.281566i
$237$	−17.6482	+	7.82252i	−1.14637	+	0.508127i
$238$	0.00894634	+	0.0420892i	0.000579905	+	0.00272824i
$239$	2.77950	+	1.23751i	0.179791	+	0.0800482i	0.494658	−	0.869088i	$-0.335293\pi$
$239$	2.77950	+	1.23751i	0.179791	+	0.0800482i	−0.314867	+	0.949136i	$0.601960\pi$
$240$	−0.279478	−	2.70204i	−0.0180402	−	0.174416i
$241$	8.10617	+	18.2068i	0.522165	+	1.17280i	0.961582	+	0.274518i	$0.0885183\pi$
$241$	8.10617	+	18.2068i	0.522165	+	1.17280i	−0.439417	+	0.898283i	$0.644815\pi$
$242$	19.9705	−	11.5300i	1.28375	−	0.741176i
$243$	0.128929	−	15.5879i	0.00827082	−	0.999966i
$244$	6.59129	−	9.07214i	0.421964	−	0.580784i
$245$	−2.28089	+	10.7308i	−0.145721	+	0.685563i
$246$	1.13258	−	1.01639i	0.0722108	−	0.0648030i
$247$	−12.9934	−	7.50174i	−0.826750	−	0.477324i
$248$	0.288918	+	5.56026i	0.0183463	+	0.353077i
$249$	−0.0339475	+	20.5222i	−0.00215133	+	1.30054i
$250$	11.5674	−	2.45872i	0.731585	−	0.155503i
$251$	12.5040	−	13.8871i	0.789246	−	0.876546i	−0.205528	−	0.978651i	$-0.565891\pi$
$251$	12.5040	−	13.8871i	0.789246	−	0.876546i	0.994774	+	0.102105i	$0.0325578\pi$
$252$	0.0230198	−	0.212261i	0.00145011	−	0.0133712i
$253$	−8.07160	+	13.9804i	−0.507457	+	0.878941i
$254$	5.48986	−	9.50872i	0.344464	−	0.596630i
$255$	1.50152	−	0.665546i	0.0940288	−	0.0416781i
$256$	−0.104528	−	0.994522i	−0.00653303	−	0.0621576i
$257$	0.315418	−	0.708440i	0.0196752	−	0.0441913i	−0.903441	−	0.428713i	$-0.858967\pi$
$257$	0.315418	−	0.708440i	0.0196752	−	0.0441913i	0.923116	+	0.384522i	$0.125634\pi$
$258$	−2.59101	−	0.846613i	−0.161309	−	0.0527078i
$259$	0.234869	−	0.323269i	0.0145940	−	0.0200870i
$260$	3.28082	−	0.697359i	0.203468	−	0.0432484i
$261$	13.2093	−	14.5731i	0.817633	−	0.902054i
$262$	−3.25880	−	1.45091i	−0.201329	−	0.0896375i
$263$	4.95577	−	5.50395i	0.305586	−	0.339388i	−0.570718	−	0.821146i	$-0.693335\pi$
$263$	4.95577	−	5.50395i	0.305586	−	0.339388i	0.876304	+	0.481758i	$0.160002\pi$
$264$	−3.10776	−	9.61882i	−0.191270	−	0.591998i
$265$	5.25751	+	7.23634i	0.322966	+	0.444525i
$266$	0.371038	+	0.334084i	0.0227498	+	0.0204840i
$267$	−16.0864	−	5.25624i	−0.984475	−	0.321677i
$268$	−8.83838	−	6.42146i	−0.539890	−	0.392253i
$269$	−8.76500	−	9.73452i	−0.534411	−	0.593524i	0.414114	−	0.910225i	$-0.364091\pi$
$269$	−8.76500	−	9.73452i	−0.534411	−	0.593524i	−0.948525	+	0.316701i	$0.897425\pi$
$270$	−8.10886	+	0.811611i	−0.493489	+	0.0493931i
$271$	−7.32469	−	10.0816i	−0.444943	−	0.612412i	0.526359	−	0.850263i	$-0.323557\pi$
$271$	−7.32469	−	10.0816i	−0.444943	−	0.612412i	−0.971302	+	0.237851i	$0.923557\pi$
$272$	0.552343	−	0.245919i	0.0334907	−	0.0149110i
$273$	0.263623		0.000436081i	0.0159552		2.63928e-5i
$274$	4.90658	−	2.83282i	0.296418	−	0.171137i
$275$	13.5436	−	6.03001i	0.816711	−	0.363623i
$276$	3.55511	+	3.21170i	0.213993	+	0.193322i
$277$	−3.64949	−	17.1695i	−0.219277	−	1.03162i	−0.940731	−	0.339154i	$-0.889859\pi$
$277$	−3.64949	−	17.1695i	−0.219277	−	1.03162i	0.721454	−	0.692462i	$-0.243474\pi$
$278$	−0.684434			−0.0410496
$279$	16.6836	−	0.811564i	0.998819	−	0.0485871i
$280$	−0.111617			−0.00667039
$281$	4.56878	+	21.4944i	0.272550	+	1.28225i	0.875012	+	0.484101i	$0.160853\pi$
$281$	4.56878	+	21.4944i	0.272550	+	1.28225i	−0.602462	+	0.798148i	$0.705813\pi$
$282$	−1.37507	+	6.41700i	−0.0818844	+	0.382127i
$283$	3.39422	−	1.51121i	0.201766	−	0.0898319i	−0.303366	−	0.952874i	$-0.598111\pi$
$283$	3.39422	−	1.51121i	0.201766	−	0.0898319i	0.505132	+	0.863042i	$0.331444\pi$
$284$	−4.31668	+	2.49224i	−0.256148	+	0.147887i
$285$	9.55590	−	16.4883i	0.566043	−	0.976680i
$286$	11.4022	−	5.07658i	0.674225	−	0.300184i
$287$	−0.0367533	−	0.0505866i	−0.00216948	−	0.00298603i
$288$	−2.98459	+	0.303713i	−0.175868	+	0.0178965i
$289$	−11.1306	−	12.3618i	−0.654742	−	0.727165i
$290$	−8.31871	−	6.04390i	−0.488492	−	0.354910i
$291$	−6.52974	−	30.9718i	−0.382780	−	1.81560i
$292$	−7.96251	−	7.16947i	−0.465970	−	0.419562i
$293$	−11.0947	−	15.2706i	−0.648161	−	0.892117i	0.350857	−	0.936429i	$-0.385890\pi$
$293$	−11.0947	−	15.2706i	−0.648161	−	0.892117i	−0.999018	+	0.0443123i	$0.985890\pi$
$294$	11.8466	+	2.53857i	0.690910	+	0.148052i
$295$	6.78389	−	7.53427i	0.394973	−	0.438662i
$296$	−5.12919	−	2.28366i	−0.298128	−	0.132735i
$297$	−28.8872	+	9.22777i	−1.67620	+	0.535450i
$298$	14.6897	−	3.12239i	0.850952	−	0.180875i
$299$	−3.47713	+	4.78587i	−0.201088	+	0.276774i
$300$	−0.907671	−	4.30526i	−0.0524044	−	0.248564i
$301$	−0.0455552	+	0.102319i	−0.00262576	+	0.00589755i
$302$	−0.0580937	−	0.552724i	−0.00334291	−	0.0318057i
$303$	1.92774	−	18.0539i	0.110746	−	1.03717i
$304$	3.50773	−	6.07557i	0.201182	−	0.348458i
$305$	−8.79355	+	15.2309i	−0.503517	+	0.872118i
$306$	−0.732271	−	1.65946i	−0.0418611	−	0.0948651i
$307$	10.5314	−	11.6963i	0.601057	−	0.667541i	−0.363446	−	0.931615i	$-0.618400\pi$
$307$	10.5314	−	11.6963i	0.601057	−	0.667541i	0.964502	+	0.264074i	$0.0850664\pi$
$308$	−0.406270	+	0.0863553i	−0.0231494	+	0.00492055i
$309$	−6.74389	+	3.87873i	−0.383646	+	0.220653i
$310$	−1.36217	−	8.62529i	−0.0773663	−	0.489884i
$311$	−9.64079	−	5.56611i	−0.546679	−	0.315625i	0.201102	−	0.979570i	$-0.435548\pi$
$311$	−9.64079	−	5.56611i	−0.546679	−	0.315625i	−0.747782	+	0.663945i	$0.768881\pi$
$312$	−0.764155	−	3.62454i	−0.0432617	−	0.205199i
$313$	4.42485	−	20.8173i	0.250107	−	1.17666i	−0.656380	−	0.754430i	$-0.727913\pi$
$313$	4.42485	−	20.8173i	0.250107	−	1.17666i	0.906487	−	0.422233i	$-0.138754\pi$
$314$	6.64720	−	9.14908i	0.375123	−	0.516313i
$315$	−0.00110781	+	0.334849i	−6.24179e−5	+	0.0188666i
$316$	9.65207	−	5.57263i	0.542971	−	0.313485i
$317$	5.68052	+	12.7587i	0.319050	+	0.716598i	0.999874	−	0.0158486i	$-0.00504498\pi$
$317$	5.68052	+	12.7587i	0.319050	+	0.716598i	−0.680824	+	0.732447i	$0.738378\pi$
$318$	8.00126	−	5.79306i	0.448688	−	0.324858i
$319$	−34.9549	−	15.5629i	−1.95710	−	0.871357i
$320$	0.326078	+	1.53408i	0.0182283	+	0.0857574i
$321$	1.38260	−	12.9485i	0.0771695	−	0.722716i
$322$	0.146295	−	0.131724i	0.00815269	−	0.00734071i
$323$	4.14897	+	0.881890i	0.230855	+	0.0490697i
$324$	0.881512	+	8.95673i	0.0489729	+	0.497596i
$325$	5.16683	−	1.67881i	0.286604	−	0.0931234i
$326$	−8.54964	−	7.69813i	−0.473521	−	0.426360i
$327$	19.2366	+	26.5693i	1.06379	+	1.46928i
$328$	−0.587897	+	0.652925i	−0.0324612	+	0.0360518i
$329$	0.256457	+	0.0833279i	0.0141389	+	0.00459401i
$330$	6.42423	+	14.4935i	0.353642	+	0.797843i
$331$	−6.58713	−	2.14029i	−0.362061	−	0.117641i	0.122336	−	0.992489i	$-0.460961\pi$
$331$	−6.58713	−	2.14029i	−0.362061	−	0.117641i	−0.484398	+	0.874848i	$0.660961\pi$
$332$	−1.23851	−	11.7836i	−0.0679719	−	0.646709i
$333$	−6.90186	+	15.3648i	−0.378220	+	0.841988i
$334$	8.72328	+	0.916853i	0.477317	+	0.0501680i
$335$	14.8384	+	8.56697i	0.810710	+	0.468063i
$336$	−0.000203907		0.123267i	−1.11240e−5		0.00672478i
$337$	6.15305	+	13.8200i	0.335178	+	0.752822i	0.999983	+	0.00580539i	$0.00184792\pi$
$337$	6.15305	+	13.8200i	0.335178	+	0.752822i	−0.664805	+	0.747017i	$0.731485\pi$
$338$	−8.01386	+	2.60386i	−0.435896	+	0.141631i
$339$	9.75571	−	2.05678i	0.529857	−	0.111709i
$340$	−0.821205	+	0.474123i	−0.0445361	+	0.0257129i
$341$	−11.6313	−	30.3409i	−0.629870	−	1.64305i
$342$	−18.1918	−	10.5834i	−0.983700	−	0.572287i
$343$	0.307781	−	0.947251i	0.0166186	−	0.0511467i
$344$	1.53936	+	0.327202i	0.0829969	+	0.0176415i
$345$	−6.07163	−	4.42666i	−0.326885	−	0.238323i
$346$	2.43303	+	4.21414i	0.130801	+	0.226553i
$347$	−34.0070			−1.82559			−0.912796	−	0.408417i	$-0.866081\pi$
$347$	−34.0070			−1.82559			−0.912796	+	0.408417i	$0.866081\pi$
$348$	−6.68994	+	9.17596i	−0.358619	+	0.491883i
$349$	−12.7731	−	5.68693i	−0.683726	−	0.304415i	0.0353207	−	0.999376i	$-0.488755\pi$
$349$	−12.7731	−	5.68693i	−0.683726	−	0.304415i	−0.719047	+	0.694961i	$0.755421\pi$
$350$	−0.179798	+	0.0188975i	−0.00961061	+	0.00101012i
$351$	−10.8811	+	2.25648i	−0.580792	+	0.120442i
$352$	2.37375	+	5.33154i	0.126521	+	0.284172i
$353$	−15.4984	−	17.2127i	−0.824897	−	0.916141i	0.172731	−	0.984969i	$-0.444741\pi$
$353$	−15.4984	−	17.2127i	−0.824897	−	0.916141i	−0.997629	+	0.0688278i	$0.978074\pi$
$354$	−8.30829	−	7.50574i	−0.441581	−	0.398926i
$355$	6.32440	−	4.59495i	0.335664	−	0.243874i
$356$	9.55722	+	2.03145i	0.506532	+	0.107667i
$357$	−0.0709196	+	0.0229136i	−0.00375346	+	0.00121271i
$358$	−12.2566	+	1.28822i	−0.647779	+	0.0680843i
$359$	−2.74545	+	12.9163i	−0.144899	+	0.681698i	0.844390	+	0.535729i	$0.179963\pi$
$359$	−2.74545	+	12.9163i	−0.144899	+	0.681698i	−0.989289	+	0.145969i	$0.953370\pi$
$360$	4.60544	−	0.963002i	0.242728	−	0.0507547i
$361$	27.6044	−	12.2903i	1.45286	−	0.646857i
$362$	5.45131	−	16.7774i	0.286515	−	0.881802i
$363$	23.4233	+	32.3518i	1.22940	+	1.69803i
$364$	−0.151369	+	0.0159095i	−0.00793390	+	0.000833887i
$365$	13.5949	+	9.87728i	0.711590	+	0.517000i
$366$	16.8046	+	9.73923i	0.878390	+	0.509078i
$367$			30.1627i			1.57448i	0.616645	+	0.787241i	$0.288491\pi$
$367$			30.1627i			1.57448i	−0.616645	+	0.787241i	$0.711509\pi$
$368$	−2.23782	−	1.62587i	−0.116654	−	0.0847544i
$369$	1.95293	+	1.77016i	0.101666	+	0.0921509i
$370$	8.37467	+	2.72109i	0.435378	+	0.141463i
$371$	−0.202944	−	0.351510i	−0.0105363	−	0.0182495i
$372$	−9.52807	+	1.48860i	−0.494007	+	0.0771802i
$373$	−1.05494	+	1.82720i	−0.0546225	+	0.0946090i	−0.892044	−	0.451949i	$-0.850729\pi$
$373$	−1.05494	+	1.82720i	−0.0546225	+	0.0946090i	0.837421	+	0.546558i	$0.184062\pi$
$374$	−2.62225	+	2.36109i	−0.135593	+	0.122089i
$375$	6.29732	+	19.4908i	0.325192	+	1.00650i
$376$	0.396054	−	3.76820i	0.0204249	−	0.194330i
$377$	−12.1429	−	7.01070i	−0.625391	−	0.361070i
$378$	0.369798	+	0.00183515i	0.0190204	+	9.43902e-5i
$379$	2.28576	−	21.7476i	0.117412	−	1.11710i	−0.764153	−	0.645035i	$-0.776843\pi$
$379$	2.28576	−	21.7476i	0.117412	−	1.11710i	0.881565	−	0.472063i	$-0.156491\pi$
$380$	−4.47520	+	10.0515i	−0.229573	+	0.515629i
$381$	17.3605	+	7.76382i	0.889404	+	0.397752i
$382$	−14.9455	+	3.17677i	−0.764679	+	0.162538i
$383$	−0.137707	+	1.31020i	−0.00703652	+	0.0669480i	−0.997477	−	0.0709953i	$-0.977382\pi$
$383$	−0.137707	+	1.31020i	−0.00703652	+	0.0669480i	0.990440	+	0.137943i	$0.0440491\pi$
$384$	1.69479	−	0.357311i	0.0864871	−	0.0182339i
$385$	0.619525	−	0.201296i	0.0315739	−	0.0102590i
$386$	−6.95968	+	15.6317i	−0.354238	+	0.795632i
$387$	0.996879	−	4.61482i	0.0506742	−	0.234584i
$388$	5.64719	+	17.3802i	0.286692	+	0.882348i
$389$	2.54448	+	24.2091i	0.129010	+	1.22745i	0.847075	+	0.531473i	$0.178361\pi$
$389$	2.54448	+	24.2091i	0.129010	+	1.22745i	−0.718065	+	0.695976i	$0.754972\pi$
$390$	1.78609	+	5.52812i	0.0904422	+	0.279927i
$391$	0.516807	−	1.59057i	0.0261361	−	0.0804385i
$392$	−6.95662	−	0.731170i	−0.351362	−	0.0369297i
$393$	1.91900	−	5.87300i	0.0968007	−	0.296254i
$394$	4.70536	+	6.47638i	0.237053	+	0.326275i
$395$	−14.1413	+	10.2743i	−0.711527	+	0.516955i
$396$	16.0181	−	7.06830i	0.804939	−	0.355196i
$397$	11.0088	+	19.0678i	0.552517	+	0.956987i	0.998092	+	0.0617427i	$0.0196658\pi$
$397$	11.0088	+	19.0678i	0.552517	+	0.956987i	−0.445575	+	0.895244i	$0.647001\pi$
$398$	−7.47068			−0.374471
$399$	−0.509461	+	0.698779i	−0.0255050	+	0.0349827i
$400$	0.784991	+	2.41596i	0.0392496	+	0.120798i
$401$	−0.138603	−	0.153934i	−0.00692150	−	0.00768710i	0.739674	−	0.672965i	$-0.234980\pi$
$401$	−0.138603	−	0.153934i	−0.00692150	−	0.00768710i	−0.746596	+	0.665278i	$0.768313\pi$
$402$	9.48828	−	16.3716i	0.473232	−	0.816540i
$403$	−3.07673	−	11.5030i	−0.153263	−	0.573006i
$404$			10.4827i			0.521532i
$405$	−2.84328	−	13.8258i	−0.141284	−	0.687009i
$406$	0.346751	+	0.312216i	0.0172090	+	0.0154950i
$407$	32.5878	+	3.42512i	1.61532	+	0.169777i
$408$	0.522111	+	0.907787i	0.0258483	+	0.0449422i
$409$		−	21.7194i		−	1.07396i	−0.843596	−	0.536978i	$-0.819566\pi$
$409$		−	21.7194i		−	1.07396i	0.843596	−	0.536978i	$-0.180434\pi$
$410$	0.809937	−	1.11478i	0.0399999	−	0.0550552i
$411$	5.75489	+	7.94855i	0.283868	+	0.392073i
$412$	3.63382	−	2.64012i	0.179025	−	0.130069i
$413$	−0.341890	+	0.307840i	−0.0168233	+	0.0151478i
$414$	−4.89980	+	6.69729i	−0.240812	+	0.329154i
$415$	3.86354	+	18.1765i	0.189654	+	0.892250i
$416$	0.660873	+	2.03396i	0.0324019	+	0.0997229i
$417$	−0.121965	−	1.17918i	−0.00597267	−	0.0577449i
$418$	−8.51251	+	40.0482i	−0.416361	+	1.95882i
$419$	7.94668	−	37.3862i	0.388221	−	1.82644i	−0.156327	−	0.987705i	$-0.549965\pi$
$419$	7.94668	−	37.3862i	0.388221	−	1.82644i	0.544547	−	0.838730i	$-0.316701\pi$
$420$	−0.0198900	−	0.192300i	−0.000970534	−	0.00938330i
$421$	9.19910	+	28.3119i	0.448337	+	1.37984i	0.878783	+	0.477222i	$0.158356\pi$
$421$	9.19910	+	28.3119i	0.448337	+	1.37984i	−0.430446	+	0.902616i	$0.641644\pi$
$422$	−1.97379	−	9.28594i	−0.0960825	−	0.452033i
$423$	−11.3006	−	1.22556i	−0.549455	−	0.0595886i
$424$	−4.23831	+	3.81619i	−0.205830	+	0.185331i
$425$	−1.24256	+	0.902776i	−0.0602732	+	0.0437911i
$426$	−5.06300	−	6.99292i	−0.245303	−	0.338808i
$427$	0.469093	−	0.645651i	0.0227010	−	0.0312452i
$428$			7.51833i			0.363412i
$429$	10.7781	+	18.7397i	0.520371	+	0.904762i
$430$	−2.45467	−	0.257996i	−0.118375	−	0.0124417i
$431$	17.2379	+	15.5211i	0.830322	+	0.747626i	0.970138	−	0.242552i	$-0.0779845\pi$
$431$	17.2379	+	15.5211i	0.830322	+	0.747626i	−0.139816	+	0.990177i	$0.544651\pi$
$432$	−1.05510	−	5.08790i	−0.0507638	−	0.244792i
$433$		−	0.450667i		−	0.0216577i	−0.999941	−	0.0108288i	$-0.996553\pi$
$433$		−	0.450667i		−	0.0216577i	0.999941	−	0.0108288i	$-0.00344699\pi$
$434$	0.0205619	+	0.395716i	0.000987002	+	0.0189950i
$435$	8.93040	−	15.4090i	0.428180	−	0.738804i
$436$	−12.6722	−	14.0739i	−0.606887	−	0.674016i
$437$	−5.99662	−	18.4557i	−0.286857	−	0.882856i
$438$	10.9331	−	14.9959i	0.522403	−	0.716530i
$439$	−9.98659			−0.476634			−0.238317	−	0.971187i	$-0.576596\pi$
$439$	−9.98659			−0.476634			−0.238317	+	0.971187i	$0.576596\pi$
$440$	−4.57651	−	7.92675i	−0.218177	−	0.377893i
$441$	−2.26254	+	20.8625i	−0.107740	+	0.993451i
$442$	−1.04610	+	0.760034i	−0.0497577	+	0.0361511i
$443$	19.1804	+	26.3995i	0.911287	+	1.25428i	0.966725	+	0.255817i	$0.0823445\pi$
$443$	19.1804	+	26.3995i	0.911287	+	1.25428i	−0.0554379	+	0.998462i	$0.517655\pi$
$444$	3.02042	−	9.24383i	0.143343	−	0.438693i
$445$	−15.2400	−	1.60179i	−0.722444	−	0.0759319i
$446$	0.865648	−	2.66419i	0.0409896	−	0.126153i
$447$	7.99713	+	24.7519i	0.378252	+	1.17072i
$448$	−0.00743914	−	0.0707786i	−0.000351466	−	0.00334398i
$449$	−5.13950	−	15.8178i	−0.242548	−	0.746486i	−0.996030	−	0.0890176i	$-0.971627\pi$
$449$	−5.13950	−	15.8178i	−0.242548	−	0.746486i	0.753482	−	0.657468i	$-0.228373\pi$
$450$	7.25562	−	2.33098i	0.342033	−	0.109884i
$451$	2.08557	−	4.68428i	0.0982058	−	0.220574i
$452$	−5.47454	+	1.77879i	−0.257501	+	0.0836671i
$453$	0.941914	−	0.198582i	0.0442550	−	0.00933020i
$454$	−1.10656	+	10.5282i	−0.0519333	+	0.494112i
$455$	0.233491	−	0.0496300i	0.0109462	−	0.00232669i
$456$	11.0924	+	4.96067i	0.519451	+	0.232305i
$457$	−8.89182	+	19.9714i	−0.415942	+	0.934221i	0.577124	+	0.816657i	$0.304175\pi$
$457$	−8.89182	+	19.9714i	−0.415942	+	0.934221i	−0.993065	+	0.117564i	$0.962492\pi$
$458$	−2.51208	+	23.9009i	−0.117382	+	1.11681i
$459$	2.72853	−	1.55731i	0.127357	−	0.0726892i
$460$	3.75699	+	2.16910i	0.175171	+	0.101135i
$461$	−2.28231	+	21.7147i	−0.106298	+	1.01136i	0.803218	+	0.595686i	$0.203120\pi$
$461$	−2.28231	+	21.7147i	−0.106298	+	1.01136i	−0.909515	+	0.415670i	$0.863547\pi$
$462$	−0.221175	−	0.684557i	−0.0102900	−	0.0318485i
$463$	8.44668	−	7.60543i	0.392551	−	0.353454i	−0.449095	−	0.893484i	$-0.648254\pi$
$463$	8.44668	−	7.60543i	0.392551	−	0.353454i	0.841646	+	0.540030i	$0.181587\pi$
$464$	3.27813	−	5.67789i	0.152183	−	0.263589i
$465$	14.6174	−	3.88385i	0.677867	−	0.180109i
$466$	14.0887	+	24.4024i	0.652648	+	1.13042i
$467$	2.98617	+	0.970264i	0.138183	+	0.0448985i	0.377292	−	0.926094i	$-0.376855\pi$
$467$	2.98617	+	0.970264i	0.138183	+	0.0448985i	−0.239109	+	0.970993i	$0.576855\pi$
$468$	6.10840	−	1.96242i	0.282361	−	0.0907129i
$469$	−0.629014	−	0.457005i	−0.0290452	−	0.0211026i
$470$			5.94241i			0.274103i
$471$	16.9471	+	9.82183i	0.780882	+	0.452566i
$472$	5.22978	+	3.79966i	0.240720	+	0.174893i
$473$	−9.13426	+	0.960049i	−0.419994	+	0.0441431i
$474$	11.3208	+	15.6361i	0.519983	+	0.718191i
$475$	−5.50708	+	16.9491i	−0.252682	+	0.777676i
$476$	0.0393094	−	0.0175017i	0.00180175	−	0.000802189i
$477$	11.4064	+	12.7527i	0.522265	+	0.583907i
$478$	0.632581	−	2.97606i	0.0289336	−	0.136122i
$479$	−37.7433	+	3.96698i	−1.72453	+	0.181256i	−0.914351	−	0.404922i	$-0.867299\pi$
$479$	−37.7433	+	3.96698i	−1.72453	+	0.181256i	−0.810183	+	0.586178i	$0.800632\pi$
$480$	−2.58489	+	0.835157i	−0.117984	+	0.0381195i
$481$	11.7452	+	2.49651i	0.535533	+	0.113831i
$482$	16.1235	−	11.7144i	0.734407	−	0.533578i
$483$	0.253012	+	0.228572i	0.0115125	+	0.0104004i
$484$	−15.4301	−	17.1369i	−0.701370	−	0.778950i
$485$	−11.6575	−	26.1832i	−0.529340	−	1.18892i
$486$	−15.2741	+	3.11480i	−0.692847	+	0.141290i
$487$	−1.19534	+	0.125635i	−0.0541660	+	0.00569308i	−0.131573	−	0.991307i	$-0.542003\pi$
$487$	−1.19534	+	0.125635i	−0.0541660	+	0.00569308i	0.0774067	+	0.997000i	$0.475336\pi$
$488$	−10.2443	−	4.56105i	−0.463738	−	0.206469i
$489$	11.7393	−	16.1016i	0.530867	−	0.728140i
$490$	10.9705			0.495596
$491$	−12.2570	−	21.2297i	−0.553149	−	0.958083i	−0.998045	−	0.0625003i	$-0.980093\pi$
$491$	−12.2570	−	21.2297i	−0.553149	−	0.958083i	0.444896	−	0.895582i	$-0.353241\pi$
$492$	−1.22966	−	0.896513i	−0.0554374	−	0.0404179i
$493$	3.87739	+	0.824164i	0.174629	+	0.0371185i
$494$	−4.63633	+	14.2692i	−0.208598	+	0.642000i
$495$	−23.8255	+	13.6508i	−1.07088	+	0.613557i
$496$	5.37869	−	1.43865i	0.241510	−	0.0645972i
$497$	−0.307212	+	0.177369i	−0.0137803	+	0.00795608i
$498$	20.0808	−	4.23360i	0.899842	−	0.189712i
$499$	19.5755	−	6.36048i	0.876321	−	0.284734i	0.163892	−	0.986478i	$-0.447595\pi$
$499$	19.5755	−	6.36048i	0.876321	−	0.284734i	0.712429	+	0.701744i	$0.247595\pi$
$500$	−4.80998	−	10.8034i	−0.215109	−	0.483143i
$501$	−0.0251310	+	15.1924i	−0.00112277	+	0.678745i
$502$	−16.1834	−	9.34347i	−0.722299	−	0.417019i
$503$	−32.4263	−	3.40814i	−1.44582	−	0.151962i	−0.651124	−	0.758971i	$-0.725702\pi$
$503$	−32.4263	−	3.40814i	−1.44582	−	0.151962i	−0.794695	+	0.607010i	$0.792369\pi$
$504$	−0.212409	+	0.0216148i	−0.00946143	+	0.000962800i
$505$	−1.71850	−	16.3504i	−0.0764721	−	0.727583i
$506$	15.3531	+	4.98852i	0.682528	+	0.221767i
$507$	−5.91415	−	13.3427i	−0.262656	−	0.592572i
$508$	−10.4423	−	3.39292i	−0.463304	−	0.150537i
$509$	−5.12793	+	5.69514i	−0.227292	+	0.252433i	−0.845994	−	0.533193i	$-0.820992\pi$
$509$	−5.12793	+	5.69514i	−0.227292	+	0.252433i	0.618702	+	0.785626i	$0.287659\pi$
$510$	−0.963185	−	1.33033i	−0.0426506	−	0.0589081i
$511$	−0.566680	−	0.510241i	−0.0250684	−	0.0225717i
$512$	−0.951057	+	0.309017i	−0.0420312	+	0.0136568i
$513$	14.9920	−	33.2279i	0.661914	−	1.46705i
$514$	−0.758538	−	0.161232i	−0.0334577	−	0.00711165i
$515$	−5.23505	+	4.71366i	−0.230684	+	0.207709i
$516$	−0.289410	+	2.71041i	−0.0127406	+	0.119319i
$517$	4.59749	+	21.6295i	0.202198	+	0.951265i
$518$	−0.365037	−	0.162525i	−0.0160388	−	0.00714094i
$519$	−6.82680	+	4.94273i	−0.299663	+	0.216962i
$520$	−1.36424	−	3.06413i	−0.0598259	−	0.134371i
$521$	4.21515	−	2.43362i	0.184669	−	0.106619i	−0.404815	−	0.914398i	$-0.632664\pi$
$521$	4.21515	−	2.43362i	0.184669	−	0.106619i	0.589485	+	0.807780i	$0.299331\pi$
$522$	−17.0010	−	9.89069i	−0.744115	−	0.432904i
$523$	7.04081	−	9.69084i	0.307873	−	0.423751i	−0.626843	−	0.779145i	$-0.715653\pi$
$523$	7.04081	−	9.69084i	0.307873	−	0.423751i	0.934716	+	0.355394i	$0.115653\pi$
$524$	−0.741662	+	3.48924i	−0.0323996	+	0.152428i
$525$	−0.0645976	−	0.306399i	−0.00281927	−	0.0133724i
$526$	−6.41403	−	3.70314i	−0.279665	−	0.161465i
$527$	1.83219	+	2.82408i	0.0798114	+	0.123019i
$528$	−8.76249	+	5.03972i	−0.381338	+	0.219326i
$529$	15.0133	−	3.19118i	0.652752	−	0.138747i
$530$	5.98511	−	6.64714i	0.259977	−	0.288733i
$531$	11.4508	−	15.6515i	0.496923	−	0.679219i
$532$	0.249640	−	0.432390i	0.0108233	−	0.0187465i
$533$	0.939497	−	1.62726i	0.0406941	−	0.0704843i
$534$	−1.79682	+	16.8278i	−0.0777559	+	0.728208i
$535$	−1.23253	−	11.7268i	−0.0532870	−	0.506992i
$536$	−4.44353	+	9.98033i	−0.191931	+	0.431085i
$537$	−4.40352	−	20.8868i	−0.190026	−	0.901330i
$538$	−7.69945	+	10.5974i	−0.331947	+	0.456886i
$539$	39.9310	−	8.48760i	1.71995	−	0.365587i
$540$	2.47980	+	7.76292i	0.106714	+	0.334063i
$541$	34.4192	+	15.3244i	1.47980	+	0.658847i	0.978466	−	0.206409i	$-0.0661778\pi$
$541$	34.4192	+	15.3244i	1.47980	+	0.658847i	0.501330	+	0.865256i	$0.332844\pi$
$542$	−8.33837	+	9.26070i	−0.358164	+	0.397781i
$543$	29.8766	+	6.40213i	1.28213	+	0.274742i
$544$	−0.355384	−	0.489144i	−0.0152369	−	0.0209719i
$545$	22.0727	+	19.8744i	0.945492	+	0.851325i
$546$	−0.0543838	−	0.257953i	−0.00232741	−	0.0110394i
$547$	2.05098	+	1.49012i	0.0876935	+	0.0637131i	0.630768	−	0.775971i	$-0.282740\pi$
$547$	2.05098	+	1.49012i	0.0876935	+	0.0637131i	−0.543075	+	0.839684i	$0.682740\pi$
$548$	−3.79105	−	4.21039i	−0.161946	−	0.179859i
$549$	−13.7848	+	30.6875i	−0.588319	+	1.30971i
$550$	−8.71412	−	11.9940i	−0.371571	−	0.511424i
$551$	42.0187	−	18.7079i	1.79006	−	0.796985i
$552$	2.40237	−	4.14518i	0.102252	−	0.176430i
$553$	0.686924	−	0.396595i	0.0292110	−	0.0168650i
$554$	−16.0356	+	7.13949i	−0.681285	+	0.303328i
$555$	−3.19571	+	14.9133i	−0.135650	+	0.633033i
$556$	0.142302	+	0.669477i	0.00603494	+	0.0283922i
$557$	−42.6518			−1.80722			−0.903608	−	0.428361i	$-0.859091\pi$
$557$	−42.6518			−1.80722			−0.903608	+	0.428361i	$0.859091\pi$
$558$	−4.26254	−	16.1503i	−0.180448	−	0.683695i
$559$	−3.36568			−0.142353
$560$	0.0232065	+	0.109178i	0.000980652	+	0.00461361i
$561$	−4.53510	−	4.09703i	−0.191472	−	0.172977i
$562$	20.0748	−	8.93787i	0.846804	−	0.377021i
$563$	−26.5068	+	15.3037i	−1.11713	+	0.644973i	−0.940666	−	0.339334i	$-0.889798\pi$
$563$	−26.5068	+	15.3037i	−1.11713	+	0.644973i	−0.176461	+	0.984308i	$0.556465\pi$
$564$	6.56266	+	0.0108559i	0.276338	+	0.000457114i
$565$	8.24734	−	3.67195i	0.346968	−	0.154480i
$566$	−2.18388	−	3.00585i	−0.0917954	−	0.126345i
$567$	0.0627359	+	0.637437i	0.00263466	+	0.0267698i
$568$	3.33526	+	3.70419i	0.139945	+	0.155424i
$569$	28.0464	+	20.3769i	1.17577	+	0.854245i	0.991688	−	0.128667i	$-0.0410697\pi$
$569$	28.0464	+	20.3769i	1.17577	+	0.854245i	0.184079	+	0.982911i	$0.441070\pi$
$570$	−18.1147	−	5.91898i	−0.758743	−	0.247919i
$571$	−10.8024	−	9.72655i	−0.452068	−	0.407044i	0.411394	−	0.911457i	$-0.365042\pi$
$571$	−10.8024	−	9.72655i	−0.452068	−	0.407044i	−0.863462	+	0.504414i	$0.831709\pi$
$572$	−7.33629	−	10.0975i	−0.306746	−	0.422199i
$573$	−8.13640	−	25.1829i	−0.339903	−	1.05203i
$574$	−0.0418397	+	0.0464677i	−0.00174636	+	0.00193953i
$575$	6.41919	+	2.85801i	0.267699	+	0.119187i
$576$	0.917607	+	2.85622i	0.0382336	+	0.119009i
$577$	−19.8244	+	4.21380i	−0.825299	+	0.175423i	−0.601154	−	0.799133i	$-0.705292\pi$
$577$	−19.8244	+	4.21380i	−0.825299	+	0.175423i	−0.224145	+	0.974556i	$0.571959\pi$
$578$	−9.77748	+	13.4575i	−0.406690	+	0.559760i
$579$	−28.1714	−	9.20499i	−1.17076	−	0.382547i
$580$	−4.18227	+	9.39352i	−0.173659	+	0.390045i
$581$	−0.0881427	−	0.838621i	−0.00365677	−	0.0347919i
$582$	−28.9374	+	12.8264i	−1.19949	+	0.531673i
$583$	16.6422	−	28.8252i	0.689250	−	1.19382i
$584$	−5.35730	+	9.27912i	−0.221687	+	0.383973i
$585$	−9.20589	+	4.06229i	−0.380617	+	0.167955i
$586$	−12.6302	+	14.0272i	−0.521747	+	0.579459i
$587$	−12.4562	+	2.64764i	−0.514122	+	0.109280i	−0.457664	−	0.889125i	$-0.651314\pi$
$587$	−12.4562	+	2.64764i	−0.514122	+	0.109280i	−0.0564575	+	0.998405i	$0.517981\pi$
$588$	0.0200414	−	12.1156i	0.000826493	−	0.499638i
$589$	36.4599	+	14.0143i	1.50230	+	0.577448i
$590$	−8.78008	−	5.06918i	−0.361470	−	0.208695i
$591$	−10.3194	+	9.26077i	−0.424483	+	0.380937i
$592$	−1.16734	+	5.49191i	−0.0479774	+	0.225716i
$593$	4.30181	−	5.92093i	0.176654	−	0.243143i	−0.711504	−	0.702683i	$-0.751985\pi$
$593$	4.30181	−	5.92093i	0.176654	−	0.243143i	0.888157	+	0.459539i	$0.151985\pi$
$594$	15.0321	+	26.3373i	0.616774	+	1.08063i
$595$	−0.0584440	+	0.0337426i	−0.00239597	+	0.00138331i
$596$	−6.10832	−	13.7195i	−0.250207	−	0.561973i
$597$	−1.33127	−	12.8709i	−0.0544851	−	0.526772i
$598$	5.40422	+	2.40611i	0.220995	+	0.0983933i
$599$	−5.30174	−	24.9427i	−0.216623	−	1.01913i	−0.943246	−	0.332095i	$-0.892245\pi$
$599$	−5.30174	−	24.9427i	−0.216623	−	1.01913i	0.726623	−	0.687036i	$-0.241089\pi$
$600$	−4.02247	+	1.78295i	−0.164217	+	0.0727887i
$601$	4.38688	−	3.94997i	0.178945	−	0.161122i	−0.574791	−	0.818300i	$-0.694917\pi$
$601$	4.38688	−	3.94997i	0.178945	−	0.161122i	0.753736	+	0.657178i	$0.228250\pi$
$602$	0.109554	+	0.0232865i	0.00446510	+	0.000949086i
$603$	29.8967	+	13.4296i	1.21749	+	0.546894i
$604$	−0.528568	+	0.171742i	−0.0215071	+	0.00698808i
$605$	26.8766	+	24.1998i	1.09269	+	0.983862i
$606$	−18.0602	+	1.86800i	−0.733644	+	0.0758823i
$607$	−2.35384	+	2.61420i	−0.0955394	+	0.106107i	−0.789018	−	0.614370i	$-0.789410\pi$
$607$	−2.35384	+	2.61420i	−0.0955394	+	0.106107i	0.693479	+	0.720477i	$0.256077\pi$
$608$	−6.67211	−	2.16790i	−0.270590	−	0.0879199i
$609$	−0.476113	+	0.653039i	−0.0192931	+	0.0264625i
$610$	16.7263	+	5.43471i	0.677229	+	0.220045i
$611$	0.847013	+	8.05879i	0.0342665	+	0.326024i
$612$	−1.47095	+	1.06129i	−0.0594596	+	0.0429001i
$613$	−44.7989	−	4.70855i	−1.80941	−	0.190177i	−0.861294	−	0.508106i	$-0.830346\pi$
$613$	−44.7989	−	4.70855i	−1.80941	−	0.190177i	−0.948114	+	0.317930i	$0.897012\pi$
$614$	−13.6303	−	7.86944i	−0.550073	−	0.317585i
$615$	2.06494	+	1.19675i	0.0832666	+	0.0482578i
$616$	0.168936	+	0.379437i	0.00680664	+	0.0152880i
$617$	19.4013	−	6.30387i	0.781068	−	0.253784i	0.108772	−	0.994067i	$-0.465308\pi$
$617$	19.4013	−	6.30387i	0.781068	−	0.253784i	0.672296	+	0.740282i	$0.265308\pi$
$618$	5.19610	+	5.79009i	0.209018	+	0.232911i
$619$	11.7811	−	6.80182i	0.473523	−	0.273388i	−0.244191	−	0.969727i	$-0.578522\pi$
$619$	11.7811	−	6.80182i	0.473523	−	0.273388i	0.717713	+	0.696339i	$0.245189\pi$
$620$	−8.15359	+	3.12571i	−0.327456	+	0.125531i
$621$	−12.4116	−	7.24821i	−0.498061	−	0.290861i
$622$	−3.44005	+	10.5874i	−0.137933	+	0.424515i
$623$	0.680173	+	0.144575i	0.0272506	+	0.00579229i
$624$	−3.38646	+	1.50104i	−0.135567	+	0.0600897i
$625$	2.92276	+	5.06237i	0.116910	+	0.202495i
$626$	−21.2824			−0.850615
$627$	−70.5144	−	7.52931i	−2.81607	−	0.300692i
$628$	−10.3312	−	4.59974i	−0.412259	−	0.183550i
$629$	−3.37607	+	0.354840i	−0.134613	+	0.0141484i
$630$	0.327762	−	0.0685354i	0.0130584	−	0.00273052i
$631$	−9.04762	−	20.3213i	−0.360180	−	0.808977i	−0.999208	−	0.0397939i	$-0.987330\pi$
$631$	−9.04762	−	20.3213i	−0.360180	−	0.808977i	0.639028	−	0.769184i	$-0.279337\pi$
$632$	−7.45763	−	8.28254i	−0.296649	−	0.329462i
$633$	15.6466	−	5.05530i	0.621898	−	0.200930i
$634$	11.2988	−	8.20907i	0.448733	−	0.326024i
$635$	16.8437	+	3.58024i	0.668423	+	0.142078i
$636$	−7.33002	−	6.62197i	−0.290654	−	0.262578i
$637$	14.8776	−	1.56370i	0.589473	−	0.0619561i
$638$	−7.95531	+	37.4268i	−0.314954	+	1.48174i
$639$	11.1456	−	9.96898i	0.440913	−	0.394367i
$640$	1.43276	−	0.637904i	0.0566347	−	0.0252154i
$641$	13.3364	−	41.0451i	0.526755	−	1.62119i	−0.234064	−	0.972221i	$-0.575202\pi$
$641$	13.3364	−	41.0451i	0.526755	−	1.62119i	0.760819	−	0.648964i	$-0.224798\pi$
$642$	−12.9530	+	1.33976i	−0.511215	+	0.0528761i
$643$	−1.56844	+	0.164849i	−0.0618531	+	0.00650102i	−0.135404	−	0.990790i	$-0.543233\pi$
$643$	−1.56844	+	0.164849i	−0.0618531	+	0.00650102i	0.0735514	+	0.997291i	$0.476567\pi$
$644$	−0.159262	−	0.115711i	−0.00627581	−	0.00455965i
$645$	0.00707169	−	4.27503i	0.000278447	−	0.168329i
$646$		−	4.24166i		−	0.166886i
$647$	31.8550	+	23.1440i	1.25235	+	0.909886i	0.998356	−	0.0573202i	$-0.0182556\pi$
$647$	31.8550	+	23.1440i	1.25235	+	0.909886i	0.253994	+	0.967206i	$0.418256\pi$
$648$	8.57772	−	2.72446i	0.336965	−	0.107027i
$649$	−35.8801	−	11.6582i	−1.40842	−	0.457623i
$650$	−2.71636	−	4.70488i	−0.106545	−	0.184541i
$651$	−0.678098	+	0.105941i	−0.0265768	+	0.00415217i
$652$	−5.75233	+	9.96334i	−0.225279	+	0.390194i
$653$	−6.81676	+	6.13784i	−0.266761	+	0.240192i	−0.791645	−	0.610981i	$-0.790775\pi$
$653$	−6.81676	+	6.13784i	−0.266761	+	0.240192i	0.524885	+	0.851173i	$0.324108\pi$
$654$	21.9891	−	24.3403i	0.859844	−	0.951782i
$655$	0.584795	−	5.56396i	0.0228498	−	0.217402i
$656$	0.760888	+	0.439299i	0.0297077	+	0.0171517i
$657$	27.7840	+	16.1639i	1.08396	+	0.630615i
$658$	0.0281866	−	0.268177i	0.00109883	−	0.0104546i
$659$	−10.2514	+	23.0250i	−0.399338	+	0.896928i	0.596224	+	0.802818i	$0.296667\pi$
$659$	−10.2514	+	23.0250i	−0.399338	+	0.896928i	−0.995562	+	0.0941097i	$0.970000\pi$
$660$	12.8411	−	9.29722i	0.499841	−	0.361894i
$661$	26.7120	−	5.67780i	1.03897	−	0.220841i	0.343321	−	0.939218i	$-0.388448\pi$
$661$	26.7120	−	5.67780i	1.03897	−	0.220841i	0.695654	+	0.718377i	$0.255115\pi$
$662$	−0.723977	+	6.88818i	−0.0281382	+	0.267717i
$663$	−1.49584	−	1.66684i	−0.0580938	−	0.0647347i
$664$	−11.2686	+	3.66139i	−0.437307	+	0.142090i
$665$	−0.318493	+	0.715348i	−0.0123506	+	0.0277400i
$666$	16.4641	+	3.55651i	0.637969	+	0.137812i
$667$	−5.60410	−	17.2476i	−0.216992	−	0.667832i
$668$	−0.916853	−	8.72328i	−0.0354741	−	0.337514i
$669$	4.74429	+	1.01663i	0.183425	+	0.0393054i
$670$	5.29468	−	16.2953i	0.204551	−	0.629544i
$671$	65.0861	+	6.84083i	2.51262	+	0.264087i
$672$	0.120616	−	0.0254293i	0.00465286	−	0.000980955i
$673$	−17.3960	−	23.9436i	−0.670568	−	0.922958i	0.329205	−	0.944259i	$-0.393219\pi$
$673$	−17.3960	−	23.9436i	−0.670568	−	0.922958i	−0.999773	+	0.0213005i	$0.993219\pi$
$674$	12.2387	−	8.89193i	0.471417	−	0.342504i
$675$	5.30890	+	12.0850i	0.204340	+	0.465153i
$676$	4.21313	+	7.29736i	0.162044	+	0.280668i
$677$	46.0673			1.77051			0.885255	−	0.465105i	$-0.153984\pi$
$677$	46.0673			1.77051			0.885255	+	0.465105i	$0.153984\pi$
$678$	−4.04016	−	9.11489i	−0.155161	−	0.350055i
$679$	0.401902	+	1.23693i	0.0154236	+	0.0474689i
$680$	0.634501	+	0.704684i	0.0243320	+	0.0270234i
$681$	−18.3358	−	0.0303308i	−0.702628	−	0.00116228i
$682$	−27.2596	+	17.6854i	−1.04383	+	0.677207i
$683$			37.0776i			1.41874i	0.704838	+	0.709368i	$0.251020\pi$
$683$			37.0776i			1.41874i	−0.704838	+	0.709368i	$0.748980\pi$
$684$	−6.56988	+	19.9947i	−0.251206	+	0.764516i
$685$	6.60335	+	5.94568i	0.252301	+	0.227173i
$686$	−0.990543	−	0.104110i	−0.0378191	−	0.00397495i
$687$	−41.6255	−	0.0688562i	−1.58811	−	0.00262703i
$688$		−	1.57375i		−	0.0599988i
$689$	7.16924	−	9.86761i	0.273126	−	0.375926i
$690$	−3.06756	+	6.85930i	−0.116780	+	0.261129i
$691$	−30.4582	+	22.1292i	−1.15869	+	0.841834i	−0.989611	−	0.143769i	$-0.954078\pi$
$691$	−30.4582	+	22.1292i	−1.15869	+	0.841834i	−0.169074	+	0.985603i	$0.554078\pi$
$692$	3.61619	−	3.25603i	0.137467	−	0.123776i
$693$	1.13998	−	0.503041i	0.0433044	−	0.0191089i
$694$	7.07045	+	33.2639i	0.268391	+	1.26268i
$695$	−0.331708	−	1.02089i	−0.0125824	−	0.0387247i
$696$	10.3664	+	4.63596i	0.392936	+	0.175726i
$697$	−0.110445	+	0.519605i	−0.00418342	+	0.0196814i
$698$	−2.90699	+	13.6763i	−0.110031	+	0.517656i
$699$	−39.5313	+	28.6214i	−1.49521	+	1.08256i
$700$	0.0558667	+	0.171940i	0.00211156	+	0.00649872i
$701$	1.99952	+	9.40701i	0.0755209	+	0.355298i	0.999641	−	0.0268049i	$-0.00853330\pi$
$701$	1.99952	+	9.40701i	0.0755209	+	0.355298i	−0.924120	+	0.382103i	$0.875200\pi$
$702$	4.46948	+	10.1742i	0.168690	+	0.384001i
$703$	−29.2718	+	26.3564i	−1.10401	+	0.994052i
$704$	4.72150	−	3.43037i	0.177948	−	0.129287i
$705$	−10.2379	+	1.05893i	−0.385583	+	0.0398816i
$706$	−13.6143	+	18.7385i	−0.512381	+	0.705231i
$707$			0.746035i			0.0280575i
$708$	−5.61433	+	9.68727i	−0.211000	+	0.364070i
$709$	8.88580	+	0.933935i	0.333713	+	0.0350747i	0.269903	−	0.962887i	$-0.413008\pi$
$709$	8.88580	+	0.933935i	0.333713	+	0.0350747i	0.0638097	+	0.997962i	$0.479675\pi$
$710$	−5.80945	−	5.23085i	−0.218025	−	0.196310i
$711$	−24.9215	+	22.2906i	−0.934629	+	0.835961i
$712$		−	9.77074i		−	0.366174i
$713$	6.99801	−	13.7193i	0.262077	−	0.513790i
$714$	0.0371579	+	0.0646059i	0.00139060	+	0.00241781i
$715$	13.0982	+	14.5470i	0.489844	+	0.544027i
$716$	3.80835	+	11.7209i	0.142325	+	0.438030i
$717$	5.24006	+	0.559517i	0.195693	+	0.0208956i
$718$	13.2049			0.492802
$719$	2.10249	+	3.64162i	0.0784096	+	0.135809i	0.902564	−	0.430556i	$-0.141682\pi$
$719$	2.10249	+	3.64162i	0.0784096	+	0.135809i	−0.824154	+	0.566365i	$0.808349\pi$
$720$	−1.89948	−	4.30458i	−0.0707895	−	0.160422i
$721$	0.258613	−	0.187894i	0.00963126	−	0.00699752i
$722$	−17.7610	−	24.4459i	−0.660996	−	0.909783i
$723$	23.0555	+	25.6911i	0.857444	+	0.955462i
$724$	−17.5442	−	1.84397i	−0.652025	−	0.0685305i
$725$	−5.14661	+	15.8396i	−0.191140	+	0.588269i
$726$	26.7748	−	29.6377i	0.993707	−	1.09996i
$727$	−3.17432	−	30.2017i	−0.117729	−	1.12012i	−0.880697	−	0.473681i	$-0.842925\pi$
$727$	−3.17432	−	30.2017i	−0.117729	−	1.12012i	0.762968	−	0.646437i	$-0.223742\pi$
$728$	0.0470333	+	0.144754i	0.00174317	+	0.00536493i
$729$	−8.08819	−	25.7601i	−0.299563	−	0.954077i
$730$	6.83490	−	15.3514i	0.252971	−	0.568182i
$731$	0.904945	−	0.294034i	0.0334706	−	0.0108753i
$732$	6.03253	−	18.4623i	0.222969	−	0.682385i
$733$	−5.42573	+	51.6223i	−0.200404	+	1.90671i	0.182966	+	0.983119i	$0.441430\pi$
$733$	−5.42573	+	51.6223i	−0.200404	+	1.90671i	−0.383370	+	0.923595i	$0.625236\pi$
$734$	29.5036	−	6.27119i	1.08900	−	0.231474i
$735$	1.95493	+	18.9006i	0.0721087	+	0.697160i
$736$	−1.12507	+	2.52696i	−0.0414707	+	0.0931448i
$737$	6.66456	−	63.4091i	0.245492	−	2.33570i
$738$	1.32544	−	2.27829i	0.0487902	−	0.0838651i
$739$	26.1701	+	15.1093i	0.962683	+	0.555805i	0.896998	−	0.442035i	$-0.145743\pi$
$739$	26.1701	+	15.1093i	0.962683	+	0.555805i	0.0656853	+	0.997840i	$0.479077\pi$
$740$	0.920441	−	8.75741i	0.0338361	−	0.321929i
$741$	−25.4100	−	5.44500i	−0.933458	−	0.200027i
$742$	−0.301634	+	0.271592i	−0.0110733	+	0.00997047i
$743$	4.10123	−	7.10355i	0.150460	−	0.260604i	−0.780937	−	0.624610i	$-0.785258\pi$
$743$	4.10123	−	7.10355i	0.150460	−	0.260604i	0.931397	+	0.364006i	$0.118591\pi$
$744$	3.43707	+	9.01036i	0.126009	+	0.330336i
$745$	11.7766	+	20.3977i	0.431462	+	0.747315i
$746$	2.00661	+	0.651986i	0.0734671	+	0.0238709i
$747$	10.8723	+	33.8420i	0.397796	+	1.23821i
$748$	2.85469	+	2.07405i	0.104378	+	0.0758348i
$749$			0.535069i			0.0195510i
$750$	17.7556	−	10.2121i	0.648343	−	0.372892i
$751$	−42.8736	−	31.1495i	−1.56448	−	1.13666i	−0.932214	−	0.361908i	$-0.882126\pi$
$751$	−42.8736	−	31.1495i	−1.56448	−	1.13666i	−0.632265	−	0.774752i	$-0.717874\pi$
$752$	−3.76820	+	0.396054i	−0.137412	+	0.0144426i
$753$	13.2136	−	29.5467i	0.481531	−	1.07674i
$754$	−4.33285	+	13.3351i	−0.157793	+	0.485637i
$755$	0.796282	−	0.354527i	0.0289797	−	0.0129026i
$756$	−0.0750903	−	0.362098i	−0.00273101	−	0.0131694i
$757$	−0.303731	+	1.42894i	−0.0110393	+	0.0519357i	−0.983322	−	0.181871i	$-0.941785\pi$
$757$	−0.303731	+	1.42894i	−0.0110393	+	0.0519357i	0.972283	+	0.233806i	$0.0751182\pi$
$758$	−21.7476	+	2.28576i	−0.789907	+	0.0830226i
$759$	−5.85862	+	27.3402i	−0.212654	+	0.992385i
$760$	10.7623	+	2.28759i	0.390388	+	0.0829796i
$761$	13.6856	−	9.94316i	0.496102	−	0.360439i	−0.311424	−	0.950271i	$-0.600806\pi$
$761$	13.6856	−	9.94316i	0.496102	−	0.360439i	0.807526	+	0.589832i	$0.200806\pi$
$762$	3.98471	−	18.5953i	0.144351	−	0.673636i
$763$	−0.901860	−	1.00162i	−0.0326495	−	0.0362610i
$764$	6.21469	+	13.9584i	0.224840	+	0.504998i
$765$	2.12034	−	1.89650i	0.0766610	−	0.0685680i
$766$	1.31020	−	0.137707i	0.0473394	−	0.00497557i
$767$	−12.6296	−	5.62308i	−0.456030	−	0.203038i
$768$	−0.701870	−	1.58347i	−0.0253266	−	0.0571386i
$769$	−17.3963			−0.627328			−0.313664	−	0.949534i	$-0.601557\pi$
$769$	−17.3963			−0.627328			−0.313664	+	0.949534i	$0.601557\pi$
$770$	−0.325703	−	0.564135i	−0.0117375	−	0.0203300i
$771$	0.142610	−	1.33559i	0.00513597	−	0.0480999i
$772$	16.7371	+	3.55758i	0.602381	+	0.128040i
$773$	−10.1801	+	31.3312i	−0.366153	+	1.12690i	0.583102	+	0.812399i	$0.301839\pi$
$773$	−10.1801	+	31.3312i	−0.366153	+	1.12690i	−0.949256	+	0.314505i	$0.898161\pi$
$774$	−4.72124	−	0.0156196i	−0.169701	−	0.000561436i
$775$	−12.6050	+	6.41550i	−0.452785	+	0.230452i
$776$	15.8263	−	9.13734i	0.568132	−	0.328011i
$777$	0.214959	−	0.657869i	0.00771159	−	0.0236009i
$778$	23.1510	−	7.52223i	0.830005	−	0.269685i
$779$	2.50703	+	5.63089i	0.0898238	+	0.201748i
$780$	5.03597	−	2.89642i	0.180317	−	0.103709i
$781$	−25.1926	−	14.5449i	−0.901460	−	0.520458i
$782$	−1.66326	−	0.174816i	−0.0594781	−	0.00625140i
$783$	14.0107	−	31.0529i	0.500702	−	1.10974i
$784$	0.731170	+	6.95662i	0.0261132	+	0.248451i
$785$	16.8682	+	5.48081i	0.602052	+	0.195618i
$786$	−6.14364	−	0.655999i	−0.219136	−	0.0233987i
$787$	−20.2689	−	6.58578i	−0.722510	−	0.234758i	−0.0753988	−	0.997153i	$-0.524023\pi$
$787$	−20.2689	−	6.58578i	−0.722510	−	0.234758i	−0.647111	+	0.762396i	$0.724023\pi$
$788$	5.35655	−	5.94906i	0.190819	−	0.211926i
$789$	5.23702	−	11.7104i	0.186443	−	0.416900i
$790$	12.9899	+	11.6962i	0.462160	+	0.416131i
$791$	−0.389615	+	0.126594i	−0.0138531	+	0.00450115i
$792$	−10.2442	−	14.1985i	−0.364011	−	0.504520i
$793$	23.4580	+	4.98616i	0.833020	+	0.177064i
$794$	16.3623	−	14.7327i	0.580676	−	0.522843i
$795$	12.5186	+	9.12699i	0.443990	+	0.323701i
$796$	1.55324	+	7.30743i	0.0550532	+	0.259005i
$797$	−37.1445	−	16.5378i	−1.31573	−	0.585799i	−0.375649	−	0.926762i	$-0.622580\pi$
$797$	−37.1445	−	16.5378i	−1.31573	−	0.585799i	−0.940077	+	0.340963i	$0.889247\pi$
$798$	0.789432	+	0.353044i	0.0279456	+	0.0124976i
$799$	−0.931777	−	2.09281i	−0.0329639	−	0.0740382i
$800$	2.19995	−	1.27014i	0.0777800	−	0.0449063i
$801$	−29.3121	−	0.0969753i	−1.03569	−	0.00342645i
$802$	−0.121753	+	0.167579i	−0.00429925	+	0.00591741i
$803$	13.0010	−	61.1650i	0.458796	−	2.15847i
$804$	−17.9865	−	5.87709i	−0.634336	−	0.207269i
$805$	0.267380	+	0.154372i	0.00942389	+	0.00544089i
$806$	−10.6120	+	5.40111i	−0.373790	+	0.190246i
$807$	−19.6298	−	11.3766i	−0.691003	−	0.400476i
$808$	10.2536	−	2.17947i	0.360720	−	0.0766734i
$809$	15.9733	−	17.7401i	0.561591	−	0.623710i	−0.393749	−	0.919218i	$-0.628822\pi$
$809$	15.9733	−	17.7401i	0.561591	−	0.623710i	0.955340	+	0.295508i	$0.0954889\pi$
$810$	−12.9325	+	5.65569i	−0.454402	+	0.198721i
$811$	10.8836	−	18.8509i	0.382174	−	0.661946i	−0.609198	−	0.793018i	$-0.708509\pi$
$811$	10.8836	−	18.8509i	0.382174	−	0.661946i	0.991373	+	0.131072i	$0.0418420\pi$
$812$	0.233300	−	0.404087i	0.00818721	−	0.0141807i
$813$	−17.4408	−	12.7156i	−0.611675	−	0.445956i
$814$	−3.42512	−	32.5878i	−0.120050	−	1.14220i
$815$	7.33888	−	16.4834i	0.257070	−	0.577388i
$816$	0.779397	−	0.699441i	0.0272843	−	0.0244853i
$817$	6.48952	−	8.93205i	0.227039	−	0.312493i
$818$	−21.2448	+	4.51572i	−0.742807	+	0.157889i
$819$	0.434725	−	0.139662i	0.0151905	−	0.00488020i
$820$	−1.25882	−	0.560461i	−0.0439598	−	0.0195722i
$821$	−20.9818	+	23.3026i	−0.732270	+	0.813268i	−0.988158	−	0.153438i	$-0.950965\pi$
$821$	−20.9818	+	23.3026i	−0.732270	+	0.813268i	0.255888	+	0.966706i	$0.417632\pi$
$822$	6.57834	−	7.28173i	0.229446	−	0.253980i
$823$	−22.4294	−	30.8714i	−0.781839	−	1.07611i	−0.995077	−	0.0991088i	$-0.968401\pi$
$823$	−22.4294	−	30.8714i	−0.781839	−	1.07611i	0.213238	−	0.977000i	$-0.431599\pi$
$824$	−3.33794	−	3.00550i	−0.116283	−	0.104701i
$825$	19.1111	−	17.1505i	0.665361	−	0.597104i
$826$	0.372195	+	0.270416i	0.0129503	+	0.00940897i
$827$	−28.7120	−	31.8879i	−0.998414	−	1.10885i	−0.994057	−	0.108861i	$-0.965280\pi$
$827$	−28.7120	−	31.8879i	−0.998414	−	1.10885i	−0.00435724	−	0.999991i	$-0.501387\pi$
$828$	7.56966	+	3.40028i	0.263064	+	0.118168i
$829$	−22.4905	−	30.9555i	−0.781127	−	1.07513i	−0.995157	−	0.0983022i	$-0.968659\pi$
$829$	−22.4905	−	30.9555i	−0.781127	−	1.07513i	0.214029	−	0.976827i	$-0.431341\pi$
$830$	16.9760	−	7.55822i	0.589247	−	0.262350i
$831$	−15.1579	−	26.3548i	−0.525820	−	0.914237i
$832$	1.85211	−	1.06931i	0.0642102	−	0.0370718i
$833$	−3.86360	+	1.72019i	−0.133866	+	0.0596010i
$834$	−1.12806	+	0.364466i	−0.0390614	+	0.0126204i
$835$	2.86014	+	13.4559i	0.0989791	+	0.465660i
$836$	40.9429			1.41604
$837$	27.0650	−	10.2217i	0.935505	−	0.353314i
$838$	−38.2214			−1.32034
$839$	1.82258	+	8.57459i	0.0629226	+	0.296028i	0.998345	−	0.0575038i	$-0.0183141\pi$
$839$	1.82258	+	8.57459i	0.0629226	+	0.296028i	−0.935423	+	0.353531i	$0.884981\pi$
$840$	−0.183963	+	0.0594369i	−0.00634732	+	0.00205077i
$841$	12.7755	−	5.68802i	0.440535	−	0.196139i
$842$	25.7806	−	14.8845i	0.888459	−	0.512952i
$843$	18.9760	+	32.9933i	0.653568	+	1.13635i
$844$	−8.67265	+	3.86131i	−0.298525	+	0.132912i
$845$	−7.76777	−	10.6914i	−0.267219	−	0.367796i
$846$	1.15076	+	11.3085i	0.0395638	+	0.388794i
$847$	−1.09814	−	1.21961i	−0.0377325	−	0.0419062i
$848$	4.61399	+	3.35226i	0.158445	+	0.115117i
$849$	4.78950	−	4.29816i	0.164375	−	0.147512i
$850$	1.14139	+	1.02771i	0.0391494	+	0.0352503i
$851$	9.12862	+	12.5645i	0.312925	+	0.430704i
$852$	−5.78745	+	6.40627i	−0.198275	+	0.219475i
$853$	21.6014	−	23.9908i	0.739619	−	0.821431i	−0.249526	−	0.968368i	$-0.580275\pi$
$853$	21.6014	−	23.9908i	0.739619	−	0.821431i	0.989146	+	0.146937i	$0.0469416\pi$
$854$	−0.729071	−	0.324603i	−0.0249483	−	0.0111077i
$855$	6.96955	−	32.2639i	0.238353	−	1.10340i
$856$	7.35404	−	1.56315i	0.251356	−	0.0534273i
$857$	−3.62169	+	4.98483i	−0.123715	+	0.170279i	−0.866382	−	0.499382i	$-0.833560\pi$
$857$	−3.62169	+	4.98483i	−0.123715	+	0.170279i	0.742667	+	0.669661i	$0.233560\pi$
$858$	16.0893	−	14.4388i	0.549280	−	0.492931i
$859$	−16.7678	+	37.6610i	−0.572109	+	1.28498i	0.363386	+	0.931639i	$0.381621\pi$
$859$	−16.7678	+	37.6610i	−0.572109	+	1.28498i	−0.935495	+	0.353339i	$0.885046\pi$
$860$	0.257996	+	2.45467i	0.00879761	+	0.0837036i
$861$	−0.0875132	−	0.0638035i	−0.00298244	−	0.00217442i
$862$	11.5980	−	20.0883i	0.395028	−	0.684209i
$863$	−3.64666	+	6.31621i	−0.124134	+	0.215006i	−0.921394	−	0.388630i	$-0.872949\pi$
$863$	−3.64666	+	6.31621i	−0.124134	+	0.215006i	0.797260	+	0.603636i	$0.206282\pi$
$864$	−4.75735	+	2.08988i	−0.161848	+	0.0710993i
$865$	−5.10659	+	5.67145i	−0.173629	+	0.192835i
$866$	−0.440819	+	0.0936989i	−0.0149796	+	0.00318402i
$867$	−24.9278	−	14.4471i	−0.846592	−	0.490649i
$868$	0.382793	−	0.102386i	0.0129928	−	0.00347522i
$869$	56.3304	+	32.5224i	1.91088	+	1.10325i
$870$	−16.9290	−	5.53154i	−0.573947	−	0.187537i
$871$	4.85768	−	22.8536i	0.164596	−	0.774365i
$872$	−11.1316	+	15.3214i	−0.376965	+	0.518847i
$873$	−27.2548	−	47.5694i	−0.922435	−	1.60998i
$874$	−16.8056	+	9.70274i	−0.568459	+	0.328200i
$875$	−0.342319	−	0.768862i	−0.0115725	−	0.0259923i
$876$	−16.9413	−	7.57635i	−0.572393	−	0.255981i
$877$	17.4702	+	7.77825i	0.589928	+	0.262653i	0.679916	−	0.733290i	$-0.262016\pi$
$877$	17.4702	+	7.77825i	0.589928	+	0.262653i	−0.0899879	+	0.995943i	$0.528683\pi$
$878$	2.07633	+	9.76836i	0.0700727	+	0.329666i
$879$	−26.4176	−	19.2604i	−0.891043	−	0.649636i
$880$	−6.80202	+	6.12457i	−0.229296	+	0.206459i
$881$	56.3642	+	11.9806i	1.89896	+	0.403636i	0.999447	−	0.0332608i	$-0.0105892\pi$
$881$	56.3642	+	11.9806i	1.89896	+	0.403636i	0.899512	+	0.436897i	$0.143923\pi$
$882$	20.8770	−	2.12445i	0.702965	−	0.0715340i
$883$	−44.6430	+	14.5054i	−1.50236	+	0.488145i	−0.940704	−	0.339229i	$-0.889834\pi$
$883$	−44.6430	+	14.5054i	−1.50236	+	0.488145i	−0.561652	+	0.827374i	$0.689834\pi$
$884$	0.960921	+	0.865217i	0.0323193	+	0.0291004i
$885$	7.16889	−	16.0302i	0.240980	−	0.538848i
$886$	21.8348	−	24.2500i	0.733555	−	0.814695i
$887$	34.6659	+	11.2636i	1.16397	+	0.378196i	0.826388	−	0.563102i	$-0.190392\pi$
$887$	34.6659	+	11.2636i	1.16397	+	0.378196i	0.337579	+	0.941297i	$0.390392\pi$
$888$	−9.66981	−	1.03251i	−0.324497	−	0.0346489i
$889$	−0.743165	−	0.241469i	−0.0249250	−	0.00809861i
$890$	1.60179	+	15.2400i	0.0536920	+	0.510845i
$891$	−42.6968	+	30.5915i	−1.43040	+	1.02485i
$892$	−2.78595	−	0.292815i	−0.0932805	−	0.00980418i
$893$	−23.0201	−	13.2907i	−0.770339	−	0.444755i
$894$	22.5483	−	12.9686i	0.754128	−	0.433734i
$895$	−7.86158	−	17.6574i	−0.262784	−	0.590222i
$896$	−0.0676853	+	0.0219923i	−0.00226121	+	0.000734710i
$897$	−3.18237	+	9.73948i	−0.106256	+	0.325192i
$898$	−14.4035	+	8.31589i	−0.480652	+	0.277505i
$899$	34.0733	+	13.0969i	1.13641	+	0.436807i
$900$	−3.78857	−	6.61243i	−0.126286	−	0.220414i
$901$	−1.06557	+	3.27947i	−0.0354991	+	0.109255i
$902$	−5.01553	−	1.06608i	−0.166999	−	0.0354967i
$903$	−0.0205969	+	0.192896i	−0.000685421	+	0.00641918i
$904$	2.87814	+	4.98508i	0.0957255	+	0.165801i
$905$	27.6669			0.919680
$906$	−0.390078	−	0.880043i	−0.0129595	−	0.0292375i
$907$	3.62190	+	1.61257i	0.120263	+	0.0535447i	0.465986	−	0.884792i	$-0.345700\pi$
$907$	3.62190	+	1.61257i	0.120263	+	0.0535447i	−0.345723	+	0.938337i	$0.612366\pi$
$908$	10.5282	−	1.10656i	0.349390	−	0.0367224i
$909$	−6.43660	−	30.7822i	−0.213489	−	1.02098i
$910$	−0.0970910	−	0.218070i	−0.00321853	−	0.00722895i
$911$	−4.34262	−	4.82297i	−0.143877	−	0.159792i	0.666899	−	0.745148i	$-0.267621\pi$
$911$	−4.34262	−	4.82297i	−0.143877	−	0.159792i	−0.810776	+	0.585356i	$0.800955\pi$
$912$	2.54602	−	11.8814i	0.0843073	−	0.393433i
$913$	55.9427	−	40.6448i	1.85143	−	1.34515i
$914$	21.3836	+	4.54523i	0.707308	+	0.150343i
$915$	−6.38264	+	29.7856i	−0.211003	+	0.984681i
$916$	23.9009	−	2.51208i	0.789707	−	0.0830015i
$917$	−0.0527830	+	0.248324i	−0.00174305	+	0.00820039i
$918$	−2.09058	−	2.34512i	−0.0689993	−	0.0774005i
$919$	−38.0347	+	16.9342i	−1.25465	+	0.558606i	−0.923001	−	0.384796i	$-0.874272\pi$
$919$	−38.0347	+	16.9342i	−1.25465	+	0.558606i	−0.331649	+	0.943403i	$0.607605\pi$
$920$	1.34058	−	4.12588i	0.0441976	−	0.136026i
$921$	11.1290	−	24.8854i	0.366714	−	0.820001i
$922$	21.7147	−	2.28231i	0.715136	−	0.0751639i
$923$	−8.62407	−	6.26576i	−0.283865	−	0.206240i
$924$	−0.623613	+	0.358669i	−0.0205154	+	0.0117993i
$925$		−	14.2627i		−	0.468954i
$926$	−9.19539	−	6.68085i	−0.302179	−	0.219546i
$927$	−9.04957	+	9.98394i	−0.297227	+	0.327916i
$928$	−6.23537	−	2.02600i	−0.204686	−	0.0665066i
$929$	−5.88743	−	10.1973i	−0.193160	−	0.334563i	0.753136	−	0.657865i	$-0.228540\pi$
$929$	−5.88743	−	10.1973i	−0.193160	−	0.334563i	−0.946296	+	0.323302i	$0.895207\pi$
$930$	−6.83812	−	13.4905i	−0.224231	−	0.442371i
$931$	−24.5364	+	42.4982i	−0.804147	+	1.39282i
$932$	20.9399	−	18.8544i	0.685910	−	0.617596i
$933$	−18.8536	−	4.04006i	−0.617238	−	0.132266i
$934$	0.328203	−	3.12264i	0.0107391	−	0.102176i
$935$	−4.79263	−	2.76703i	−0.156736	−	0.0904914i
$936$	−3.18954	−	5.56690i	−0.104253	−	0.181960i
$937$	−1.03424	+	9.84015i	−0.0337872	+	0.321464i	0.964554	+	0.263886i	$0.0850043\pi$
$937$	−1.03424	+	9.84015i	−0.0337872	+	0.321464i	−0.998341	+	0.0575776i	$0.981662\pi$
$938$	−0.316239	+	0.710285i	−0.0103256	+	0.0231916i
$939$	−3.79250	−	36.6665i	−0.123763	−	1.19657i
$940$	5.81255	−	1.23550i	0.189585	−	0.0402974i
$941$	−0.242722	+	2.30935i	−0.00791253	+	0.0752827i	−0.997766	−	0.0668122i	$-0.978717\pi$
$941$	−0.242722	+	2.30935i	−0.00791253	+	0.0752827i	0.989853	+	0.142095i	$0.0453838\pi$
$942$	6.08370	−	18.6189i	0.198218	−	0.606635i
$943$	2.31134	−	0.751000i	0.0752676	−	0.0244559i
$944$	2.62929	−	5.90549i	0.0855762	−	0.192207i
$945$	0.176484	+	0.552475i	0.00574102	+	0.0179720i
$946$	2.83819	+	8.73505i	0.0922775	+	0.284001i
$947$	4.49493	+	42.7664i	0.146066	+	1.38972i	0.784540	+	0.620079i	$0.212899\pi$
$947$	4.49493	+	42.7664i	0.146066	+	1.38972i	−0.638474	+	0.769643i	$0.720434\pi$
$948$	12.9407	−	14.3244i	0.420295	−	0.465234i
$949$	7.08099	−	21.7930i	0.229859	−	0.707432i
$950$	17.7237	+	1.86283i	0.575032	+	0.0604383i
$951$	16.1565	+	18.0034i	0.523911	+	0.583801i
$952$	−0.0252921	−	0.0348116i	−0.000819723	−	0.00112825i
$953$	4.51817	−	3.28264i	0.146358	−	0.106335i	−0.512197	−	0.858868i	$-0.671168\pi$
$953$	4.51817	−	3.28264i	0.146358	−	0.106335i	0.658555	+	0.752533i	$0.271168\pi$
$954$	10.1025	−	13.8086i	0.327081	−	0.447071i
$955$	−11.9817	−	20.7529i	−0.387719	−	0.671549i
$956$	−3.04255			−0.0984029
$957$	−65.8987	−	7.03647i	−2.13020	−	0.227457i
$958$	11.7276	+	36.0937i	0.378900	+	1.16613i
$959$	−0.269803	−	0.299647i	−0.00871240	−	0.00967610i
$960$	1.35434	+	2.35477i	0.0437110	+	0.0759997i
$961$	12.5836	+	28.3311i	0.405923	+	0.913907i
$962$		−	12.0075i		−	0.387139i
$963$	−4.61643	−	22.0775i	−0.148762	−	0.711438i
$964$	−14.8107	−	13.3356i	−0.477021	−	0.429512i
$965$	−26.6890	−	2.80513i	−0.859150	−	0.0903003i
$966$	0.170973	−	0.295006i	0.00550097	−	0.00949167i
$967$		−	18.0170i		−	0.579388i	−0.957119	−	0.289694i	$-0.906446\pi$
$967$		−	18.0170i		−	0.579388i	0.957119	−	0.289694i	$-0.0935536\pi$
$968$	−13.5543	+	18.6559i	−0.435652	+	0.599624i
$969$	7.30778	−	0.755859i	0.234760	−	0.0242817i
$970$	−23.1873	+	16.8465i	−0.744498	+	0.540910i
$971$	−19.2450	+	17.3282i	−0.617600	+	0.556089i	−0.917427	−	0.397904i	$-0.869738\pi$
$971$	−19.2450	+	17.3282i	−0.617600	+	0.556089i	0.299827	+	0.953994i	$0.403071\pi$
$972$	6.22240	+	14.2927i	0.199583	+	0.458439i
$973$	0.0101274	+	0.0476457i	0.000324670	+	0.00152745i
$974$	0.371415	+	1.14310i	0.0119009	+	0.0366272i
$975$	7.62179	−	5.51832i	0.244093	−	0.176728i
$976$	−2.33148	+	10.9687i	−0.0746287	+	0.351101i
$977$	7.06375	−	33.2323i	0.225989	−	1.06320i	−0.708087	−	0.706125i	$-0.750442\pi$
$977$	7.06375	−	33.2323i	0.225989	−	1.06320i	0.934077	−	0.357072i	$-0.116225\pi$
$978$	−18.1905	−	8.13501i	−0.581668	−	0.260129i
$979$	17.6211	+	54.2320i	0.563171	+	1.73326i
$980$	−2.28089	−	10.7308i	−0.0728605	−	0.342782i
$981$	45.8534	+	33.5468i	1.46399	+	1.07107i
$982$	−18.2174	+	16.4030i	−0.581341	+	0.523442i
$983$	−21.2057	+	15.4068i	−0.676357	+	0.491402i	−0.872147	−	0.489244i	$-0.837273\pi$
$983$	−21.2057	+	15.4068i	−0.676357	+	0.491402i	0.195790	+	0.980646i	$0.437273\pi$
$984$	−0.621261	+	1.38919i	−0.0198051	+	0.0442856i
$985$	−7.37965	+	10.1572i	−0.235135	+	0.323636i
$986$		−	3.96401i		−	0.126240i
$987$	0.467055		0.000772595i	0.0148665		2.45920e-5i
$988$	14.9213	+	1.56829i	0.474710	+	0.0498940i
$989$	−3.23503	−	2.91283i	−0.102868	−	0.0926226i
$990$	18.3061	+	20.4667i	0.581806	+	0.650476i
$991$		−	9.03761i		−	0.287089i	−0.989644	−	0.143545i	$-0.954150\pi$
$991$		−	9.03761i		−	0.287089i	0.989644	−	0.143545i	$-0.0458501\pi$
$992$	−2.52550	−	4.96204i	−0.0801848	−	0.157545i
$993$	−11.9964	−	0.0198442i	−0.380693	−	0.000629737i
$994$	0.237366	+	0.263621i	0.00752879	+	0.00836157i
$995$	−3.62063	−	11.1432i	−0.114782	−	0.353262i
$996$	−8.31611	−	18.7618i	−0.263506	−	0.594489i
$997$	−16.0503			−0.508317			−0.254158	−	0.967163i	$-0.581798\pi$
$997$	−16.0503			−0.508317			−0.254158	+	0.967163i	$0.581798\pi$
$998$	−10.2915	−	17.8253i	−0.325771	−	0.564251i
$999$	−3.19350	+	28.9990i	−0.101038	+	0.917488i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	558.2.bh.a.203.15	yes	256
9.2	odd	6		558.2.bd.a.389.23	yes	256
31.11	odd	30		558.2.bd.a.383.23	✓	256
279.11	even	30	inner	558.2.bh.a.11.15	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
558.2.bd.a.383.23	✓	256	31.11	odd	30
558.2.bd.a.389.23	yes	256	9.2	odd	6
558.2.bh.a.11.15	yes	256	279.11	even	30	inner
558.2.bh.a.203.15	yes	256	1.1	even	1	trivial

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 558 = 2 \cdot 3^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	558.bh (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.207912 - 0.978148i) q^{2} +(1.64816 - 0.532508i) q^{3} +(-0.913545 + 0.406737i) q^{4} +(1.35823 - 0.784174i) q^{5} +(-0.863543 - 1.50143i) q^{6} +(-0.0650157 + 0.0289468i) q^{7} +(0.587785 + 0.809017i) q^{8} +(2.43287 - 1.75532i) q^{9} +(-1.04943 - 1.16551i) q^{10} +(-4.72150 - 3.43037i) q^{11} +(-1.28908 + 1.15684i) q^{12} +(-1.58931 - 1.43102i) q^{13} +(0.0418318 + 0.0575765i) q^{14} +(1.82100 - 2.01571i) q^{15} +(0.669131 - 0.743145i) q^{16} +(0.552343 + 0.245919i) q^{17} +(-2.22278 - 2.01476i) q^{18} +(6.86216 - 1.45860i) q^{19} +(-0.921852 + 1.26882i) q^{20} +(-0.0917419 + 0.0823304i) q^{21} +(-2.37375 + 5.33154i) q^{22} +(-0.289136 - 2.75094i) q^{23} +(1.39957 + 1.02039i) q^{24} +(-1.27014 + 2.19995i) q^{25} +(-1.06931 + 1.85211i) q^{26} +(3.07505 - 4.18857i) q^{27} +(0.0476210 - 0.0528885i) q^{28} +(6.41299 - 1.36312i) q^{29} +(-2.35027 - 1.36212i) q^{30} +(4.66817 + 3.03450i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-9.60849 - 3.13957i) q^{33} +(0.125706 - 0.591403i) q^{34} +(-0.0656068 + 0.0903000i) q^{35} +(-1.50859 + 2.59310i) q^{36} +(-4.86239 + 2.80730i) q^{37} +(-2.85345 - 6.40895i) q^{38} +(-3.38147 - 1.51224i) q^{39} +(1.43276 + 0.637904i) q^{40} +(0.182671 + 0.859398i) q^{41} +(0.0996055 + 0.0726197i) q^{42} +(1.16953 - 1.05305i) q^{43} +(5.70856 + 1.21339i) q^{44} +(1.92792 - 4.29192i) q^{45} +(-2.63071 + 0.854771i) q^{46} +(-2.81575 - 2.53531i) q^{47} +(0.707105 - 1.58114i) q^{48} +(-4.68053 + 5.19825i) q^{49} +(2.41596 + 0.784991i) q^{50} +(1.04130 + 0.111187i) q^{51} +(2.03396 + 0.660873i) q^{52} +(0.596147 + 5.67196i) q^{53} +(-4.73637 - 2.13700i) q^{54} +(-9.10288 - 0.956751i) q^{55} +(-0.0616337 - 0.0355843i) q^{56} +(10.5332 - 6.05816i) q^{57} +(-2.66667 - 5.98944i) q^{58} +(6.14797 - 1.99760i) q^{59} +(-0.843704 + 2.58211i) q^{60} +(-9.71142 + 5.60689i) q^{61} +(1.99762 - 5.19707i) q^{62} +(-0.107364 + 0.184547i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(-3.28082 - 0.697359i) q^{65} +(-1.07324 + 10.0513i) q^{66} +(5.46242 + 9.46118i) q^{67} -0.604615 q^{68} +(-1.94144 - 4.38003i) q^{69} +(0.101967 + 0.0453987i) q^{70} +(4.95717 - 0.521020i) q^{71} +(2.85009 + 0.936485i) q^{72} +(4.35802 + 9.78828i) q^{73} +(3.75690 + 4.17246i) q^{74} +(-0.921909 + 4.30224i) q^{75} +(-5.67563 + 4.12359i) q^{76} +(0.406270 + 0.0863553i) q^{77} +(-0.776142 + 3.62199i) q^{78} +(-11.0842 + 1.16500i) q^{79} +(0.326078 - 1.53408i) q^{80} +(2.83773 - 8.54092i) q^{81} +(0.802639 - 0.357358i) q^{82} +(-3.66139 + 11.2686i) q^{83} +(0.0503236 - 0.112527i) q^{84} +(0.943052 - 0.0991187i) q^{85} +(-1.27319 - 0.925029i) q^{86} +(9.84377 - 5.66161i) q^{87} -5.83609i q^{88} +(-7.90469 - 5.74310i) q^{89} +(-4.59896 - 0.993454i) q^{90} +(0.144754 + 0.0470333i) q^{91} +(1.38305 + 2.39551i) q^{92} +(9.30979 + 2.51551i) q^{93} +(-1.89448 + 3.28134i) q^{94} +(8.17660 - 7.36224i) q^{95} +(-1.69360 - 0.362916i) q^{96} +(1.91022 - 18.1746i) q^{97} +(6.05779 + 3.49747i) q^{98} +(-17.5082 - 0.0579237i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q - 32 q^{4} - 6 q^{5} - 2 q^{7} - 8 q^{9} - 4 q^{15} + 32 q^{16} - 8 q^{18} - 4 q^{19} - 6 q^{21} + 18 q^{23} + 134 q^{25} - 12 q^{26} - 18 q^{28} - 18 q^{30} - 50 q^{31} - 30 q^{33} - 4 q^{36} + 72 q^{37}+ \cdots - 66 q^{99}+O(q^{100}) \) 256 * q - 32 * q^4 - 6 * q^5 - 2 * q^7 - 8 * q^9 - 4 * q^15 + 32 * q^16 - 8 * q^18 - 4 * q^19 - 6 * q^21 + 18 * q^23 + 134 * q^25 - 12 * q^26 - 18 * q^28 - 18 * q^30 - 50 * q^31 - 30 * q^33 - 4 * q^36 + 72 * q^37 - 54 * q^38 + 8 * q^39 + 24 * q^41 - 14 * q^43 - 30 * q^45 - 24 * q^47 + 10 * q^48 + 30 * q^49 + 52 * q^51 - 90 * q^53 - 96 * q^57 + 18 * q^58 + 20 * q^60 + 42 * q^61 - 90 * q^62 + 124 * q^63 + 64 * q^64 + 60 * q^65 - 12 * q^66 + 8 * q^67 + 36 * q^69 - 6 * q^70 - 6 * q^71 - 16 * q^72 + 42 * q^73 - 24 * q^74 - 96 * q^75 + 12 * q^76 - 90 * q^77 + 20 * q^78 + 14 * q^79 + 6 * q^80 - 184 * q^81 - 72 * q^83 - 8 * q^84 - 72 * q^86 - 74 * q^87 - 36 * q^89 - 92 * q^90 - 10 * q^91 - 18 * q^92 - 62 * q^93 - 150 * q^95 + 42 * q^97 - 48 * q^98 - 66 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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