LMFDB - Embedded newform 462.2.w.b.29.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, 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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.6
Character	$\chi$	$=$	462.29
Dual form			462.2.w.b.239.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(0.407282 + 1.68348i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.88925 + 2.60033i) q^{5} +(-0.660029 + 1.60136i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.66824 + 1.37131i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(0.407282 + 1.68348i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.88925 + 2.60033i) q^{5} +(-0.660029 + 1.60136i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.66824 + 1.37131i) q^{9} +3.21418i q^{10} +(-0.355870 - 3.29748i) q^{11} +(-1.47523 + 0.907574i) q^{12} +(1.19782 - 1.64866i) q^{13} +(-0.951057 - 0.309017i) q^{14} +(-3.60815 + 4.23959i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.57642 - 1.14533i) q^{17} +(-2.96469 - 0.458942i) q^{18} +(2.14901 + 0.698257i) q^{19} +(-1.88925 + 2.60033i) q^{20} +(-0.907574 - 1.47523i) q^{21} +(1.65030 - 2.87689i) q^{22} -6.70591i q^{23} +(-1.72695 - 0.132877i) q^{24} +(-1.64736 + 5.07005i) q^{25} +(1.93811 - 0.629731i) q^{26} +(-3.39530 - 3.93344i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(-0.422245 - 1.29954i) q^{29} +(-5.41103 + 1.30908i) q^{30} +(1.07310 + 0.779655i) q^{31} -1.00000 q^{32} +(5.40631 - 1.94211i) q^{33} +1.94856 q^{34} +(-2.60033 - 1.88925i) q^{35} +(-2.12872 - 2.11389i) q^{36} +(3.29044 + 10.1269i) q^{37} +(1.32816 + 1.82806i) q^{38} +(3.26334 + 1.34504i) q^{39} +(-3.05687 + 0.993237i) q^{40} +(1.23700 - 3.80710i) q^{41} +(0.132877 - 1.72695i) q^{42} +7.48340i q^{43} +(3.02612 - 1.35743i) q^{44} +(-8.60682 - 4.34756i) q^{45} +(3.94163 - 5.42519i) q^{46} +(3.88088 + 1.26097i) q^{47} +(-1.31903 - 1.12257i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-4.31284 + 3.13346i) q^{50} +(2.57020 + 2.18740i) q^{51} +(1.93811 + 0.629731i) q^{52} +(-3.85552 + 5.30667i) q^{53} +(-0.434843 - 5.17793i) q^{54} +(7.90220 - 7.15513i) q^{55} -1.00000i q^{56} +(-0.300249 + 3.90222i) q^{57} +(0.422245 - 1.29954i) q^{58} +(-11.7835 + 3.82871i) q^{59} +(-5.14707 - 2.12145i) q^{60} +(2.27414 + 3.13009i) q^{61} +(0.409889 + 1.26151i) q^{62} +(2.11389 - 2.12872i) q^{63} +(-0.809017 - 0.587785i) q^{64} +6.55003 q^{65} +(5.51534 + 1.60655i) q^{66} -7.77797 q^{67} +(1.57642 + 1.14533i) q^{68} +(11.2893 - 2.73120i) q^{69} +(-0.993237 - 3.05687i) q^{70} +(-3.19442 - 4.39674i) q^{71} +(-0.479659 - 2.96141i) q^{72} +(4.22384 - 1.37241i) q^{73} +(-3.29044 + 10.1269i) q^{74} +(-9.20629 - 0.708362i) q^{75} +2.25961i q^{76} +(1.35743 + 3.02612i) q^{77} +(1.84950 + 3.00630i) q^{78} +(10.0938 - 13.8929i) q^{79} +(-3.05687 - 0.993237i) q^{80} +(5.23903 - 7.31796i) q^{81} +(3.23851 - 2.35292i) q^{82} +(13.6707 - 9.93232i) q^{83} +(1.12257 - 1.31903i) q^{84} +(5.95649 + 1.93538i) q^{85} +(-4.39863 + 6.05420i) q^{86} +(2.01578 - 1.24012i) q^{87} +(3.24606 + 0.680524i) q^{88} +3.34756i q^{89} +(-4.40763 - 8.57622i) q^{90} +(-0.629731 + 1.93811i) q^{91} +(6.37770 - 2.07224i) q^{92} +(-0.875481 + 2.12409i) q^{93} +(2.39851 + 3.30127i) q^{94} +(2.24432 + 6.90732i) q^{95} +(-0.407282 - 1.68348i) q^{96} +(-8.66455 - 6.29517i) q^{97} +1.00000 q^{98} +(5.47140 + 8.31046i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	0.407282	+	1.68348i	0.235145	+	0.971960i
$3$	0.407282	+	1.68348i	0.235145	+	0.971960i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.88925	+	2.60033i	0.844898	+	1.16290i	0.984964	+	0.172760i	$0.0552685\pi$
$5$	1.88925	+	2.60033i	0.844898	+	1.16290i	−0.140066	+	0.990142i	$0.544732\pi$
$6$	−0.660029	+	1.60136i	−0.269456	+	0.653753i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−2.66824	+	1.37131i	−0.889414	+	0.457103i
$10$			3.21418i			1.01641i
$11$	−0.355870	−	3.29748i	−0.107299	−	0.994227i
$11$	−0.355870	−	3.29748i	−0.107299	−	0.994227i
$12$	−1.47523	+	0.907574i	−0.425863	+	0.261994i
$13$	1.19782	−	1.64866i	0.332215	−	0.457255i	−0.609932	−	0.792454i	$-0.708803\pi$
$13$	1.19782	−	1.64866i	0.332215	−	0.457255i	0.942148	+	0.335198i	$0.108803\pi$
$14$	−0.951057	−	0.309017i	−0.254181	−	0.0825883i
$15$	−3.60815	+	4.23959i	−0.931622	+	1.09466i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	1.57642	−	1.14533i	0.382337	−	0.277784i	−0.379971	−	0.924998i	$-0.624066\pi$
$17$	1.57642	−	1.14533i	0.382337	−	0.277784i	0.762308	+	0.647214i	$0.224066\pi$
$18$	−2.96469	−	0.458942i	−0.698784	−	0.108174i
$19$	2.14901	+	0.698257i	0.493017	+	0.160191i	0.544965	−	0.838459i	$-0.316543\pi$
$19$	2.14901	+	0.698257i	0.493017	+	0.160191i	−0.0519477	+	0.998650i	$0.516543\pi$
$20$	−1.88925	+	2.60033i	−0.422449	+	0.581451i
$21$	−0.907574	−	1.47523i	−0.198049	−	0.321922i
$22$	1.65030	−	2.87689i	0.351846	−	0.613355i
$23$		−	6.70591i		−	1.39828i	−0.714986	−	0.699139i	$-0.753567\pi$
$23$		−	6.70591i		−	1.39828i	0.714986	−	0.699139i	$-0.246433\pi$
$24$	−1.72695	−	0.132877i	−0.352511	−	0.0271234i
$25$	−1.64736	+	5.07005i	−0.329472	+	1.01401i
$26$	1.93811	−	0.629731i	0.380095	−	0.123500i
$27$	−3.39530	−	3.93344i	−0.653426	−	0.756990i
$28$	−0.587785	−	0.809017i	−0.111081	−	0.152890i
$29$	−0.422245	−	1.29954i	−0.0784089	−	0.241318i	0.904167	−	0.427179i	$-0.140493\pi$
$29$	−0.422245	−	1.29954i	−0.0784089	−	0.241318i	−0.982576	+	0.185861i	$0.940493\pi$
$30$	−5.41103	+	1.30908i	−0.987914	+	0.239004i
$31$	1.07310	+	0.779655i	0.192735	+	0.140030i	0.679968	−	0.733242i	$-0.261994\pi$
$31$	1.07310	+	0.779655i	0.192735	+	0.140030i	−0.487233	+	0.873272i	$0.661994\pi$
$32$	−1.00000			−0.176777
$33$	5.40631	−	1.94211i	0.941118	−	0.338077i
$34$	1.94856			0.334175
$35$	−2.60033	−	1.88925i	−0.439536	−	0.319341i
$36$	−2.12872	−	2.11389i	−0.354787	−	0.352315i
$37$	3.29044	+	10.1269i	0.540946	+	1.66486i	0.730439	+	0.682977i	$0.239315\pi$
$37$	3.29044	+	10.1269i	0.540946	+	1.66486i	−0.189494	+	0.981882i	$0.560685\pi$
$38$	1.32816	+	1.82806i	0.215456	+	0.296550i
$39$	3.26334	+	1.34504i	0.522553	+	0.215379i
$40$	−3.05687	+	0.993237i	−0.483333	+	0.157045i
$41$	1.23700	−	3.80710i	0.193187	−	0.594569i	−0.806806	−	0.590817i	$-0.798806\pi$
$41$	1.23700	−	3.80710i	0.193187	−	0.594569i	0.999993	−	0.00375220i	$-0.00119436\pi$
$42$	0.132877	−	1.72695i	0.0205033	−	0.266474i
$43$			7.48340i			1.14121i	0.821225	+	0.570604i	$0.193291\pi$
$43$			7.48340i			1.14121i	−0.821225	+	0.570604i	$0.806709\pi$
$44$	3.02612	−	1.35743i	0.456204	−	0.204640i
$45$	−8.60682	−	4.34756i	−1.28303	−	0.648096i
$46$	3.94163	−	5.42519i	0.581162	−	0.799901i
$47$	3.88088	+	1.26097i	0.566084	+	0.183932i	0.578057	−	0.815996i	$-0.303811\pi$
$47$	3.88088	+	1.26097i	0.566084	+	0.183932i	−0.0119727	+	0.999928i	$0.503811\pi$
$48$	−1.31903	−	1.12257i	−0.190385	−	0.162029i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	−4.31284	+	3.13346i	−0.609928	+	0.443139i
$51$	2.57020	+	2.18740i	0.359900	+	0.306297i
$52$	1.93811	+	0.629731i	0.268768	+	0.0873280i
$53$	−3.85552	+	5.30667i	−0.529596	+	0.728927i	−0.987069	−	0.160297i	$-0.948755\pi$
$53$	−3.85552	+	5.30667i	−0.529596	+	0.728927i	0.457472	+	0.889224i	$0.348755\pi$
$54$	−0.434843	−	5.17793i	−0.0591746	−	0.704626i
$55$	7.90220	−	7.15513i	1.06553	−	0.964798i
$56$		−	1.00000i		−	0.133631i
$57$	−0.300249	+	3.90222i	−0.0397690	+	0.516861i
$58$	0.422245	−	1.29954i	0.0554434	−	0.170637i
$59$	−11.7835	+	3.82871i	−1.53409	+	0.498455i	−0.949738	−	0.313047i	$-0.898650\pi$
$59$	−11.7835	+	3.82871i	−1.53409	+	0.498455i	−0.584349	+	0.811502i	$0.698650\pi$
$60$	−5.14707	−	2.12145i	−0.664484	−	0.273879i
$61$	2.27414	+	3.13009i	0.291174	+	0.400767i	0.929395	−	0.369087i	$-0.120329\pi$
$61$	2.27414	+	3.13009i	0.291174	+	0.400767i	−0.638221	+	0.769853i	$0.720329\pi$
$62$	0.409889	+	1.26151i	0.0520559	+	0.160212i
$63$	2.11389	−	2.12872i	0.266325	−	0.268194i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	6.55003			0.812431
$66$	5.51534	+	1.60655i	0.678892	+	0.197753i
$67$	−7.77797			−0.950231			−0.475115	−	0.879924i	$-0.657594\pi$
$67$	−7.77797			−0.950231			−0.475115	+	0.879924i	$0.657594\pi$
$68$	1.57642	+	1.14533i	0.191169	+	0.138892i
$69$	11.2893	−	2.73120i	1.35907	−	0.328798i
$70$	−0.993237	−	3.05687i	−0.118715	−	0.365366i
$71$	−3.19442	−	4.39674i	−0.379107	−	0.521796i	0.576240	−	0.817280i	$-0.304519\pi$
$71$	−3.19442	−	4.39674i	−0.379107	−	0.521796i	−0.955348	+	0.295484i	$0.904519\pi$
$72$	−0.479659	−	2.96141i	−0.0565283	−	0.349005i
$73$	4.22384	−	1.37241i	0.494363	−	0.160628i	−0.0512163	−	0.998688i	$-0.516310\pi$
$73$	4.22384	−	1.37241i	0.494363	−	0.160628i	0.545579	+	0.838059i	$0.316310\pi$
$74$	−3.29044	+	10.1269i	−0.382506	+	1.17723i
$75$	−9.20629	−	0.708362i	−1.06305	−	0.0817946i
$76$			2.25961i			0.259195i
$77$	1.35743	+	3.02612i	0.154693	+	0.344858i
$78$	1.84950	+	3.00630i	0.209415	+	0.340397i
$79$	10.0938	−	13.8929i	1.13564	−	1.56307i	0.358747	−	0.933435i	$-0.383204\pi$
$79$	10.0938	−	13.8929i	1.13564	−	1.56307i	0.776890	−	0.629636i	$-0.216796\pi$
$80$	−3.05687	−	0.993237i	−0.341768	−	0.111047i
$81$	5.23903	−	7.31796i	0.582115	−	0.813107i
$82$	3.23851	−	2.35292i	0.357634	−	0.259836i
$83$	13.6707	−	9.93232i	1.50055	−	1.09021i	0.530389	−	0.847754i	$-0.322046\pi$
$83$	13.6707	−	9.93232i	1.50055	−	1.09021i	0.970161	−	0.242460i	$-0.0779542\pi$
$84$	1.12257	−	1.31903i	0.122483	−	0.143918i
$85$	5.95649	+	1.93538i	0.646072	+	0.209921i
$86$	−4.39863	+	6.05420i	−0.474317	+	0.652841i
$87$	2.01578	−	1.24012i	0.216114	−	0.132955i
$88$	3.24606	+	0.680524i	0.346031	+	0.0725441i
$89$			3.34756i			0.354841i	0.984135	+	0.177420i	$0.0567752\pi$
$89$			3.34756i			0.354841i	−0.984135	+	0.177420i	$0.943225\pi$
$90$	−4.40763	−	8.57622i	−0.464605	−	0.904013i
$91$	−0.629731	+	1.93811i	−0.0660137	+	0.203169i
$92$	6.37770	−	2.07224i	0.664921	−	0.216046i
$93$	−0.875481	+	2.12409i	−0.0907832	+	0.220258i
$94$	2.39851	+	3.30127i	0.247388	+	0.340500i
$95$	2.24432	+	6.90732i	0.230263	+	0.708676i
$96$	−0.407282	−	1.68348i	−0.0415681	−	0.171820i
$97$	−8.66455	−	6.29517i	−0.879752	−	0.639177i	0.0534339	−	0.998571i	$-0.482983\pi$
$97$	−8.66455	−	6.29517i	−0.879752	−	0.639177i	−0.933186	+	0.359394i	$0.882983\pi$
$98$	1.00000			0.101015
$99$	5.47140	+	8.31046i	0.549897	+	0.835233i
$100$	−5.33097			−0.533097
$101$	−9.88318	−	7.18055i	−0.983413	−	0.714491i	−0.0249440	−	0.999689i	$-0.507941\pi$
$101$	−9.88318	−	7.18055i	−0.983413	−	0.714491i	−0.958469	+	0.285198i	$0.907941\pi$
$102$	0.793613	+	3.28037i	0.0785794	+	0.324805i
$103$	−5.66695	−	17.4411i	−0.558381	−	1.71852i	−0.686842	−	0.726807i	$-0.741004\pi$
$103$	−5.66695	−	17.4411i	−0.558381	−	1.71852i	0.128461	−	0.991715i	$-0.458996\pi$
$104$	1.19782	+	1.64866i	0.117456	+	0.161664i
$105$	2.12145	−	5.14707i	0.207033	−	0.502303i
$106$	−6.23836	+	2.02697i	−0.605923	+	0.196876i
$107$	4.14956	−	12.7710i	0.401153	−	1.23462i	−0.522912	−	0.852387i	$-0.675154\pi$
$107$	4.14956	−	12.7710i	0.401153	−	1.23462i	0.924065	−	0.382235i	$-0.124846\pi$
$108$	2.69171	−	4.44462i	0.259010	−	0.427684i
$109$			13.4636i			1.28958i	0.764362	+	0.644788i	$0.223054\pi$
$109$			13.4636i			1.28958i	−0.764362	+	0.644788i	$0.776946\pi$
$110$	10.5987	−	1.14383i	1.01055	−	0.109060i
$111$	−15.7084	+	9.66394i	−1.49098	+	0.917260i
$112$	0.587785	−	0.809017i	0.0555405	−	0.0764449i
$113$	1.27037	+	0.412770i	0.119507	+	0.0388301i	0.368160	−	0.929763i	$-0.379988\pi$
$113$	1.27037	+	0.412770i	0.119507	+	0.0388301i	−0.248653	+	0.968593i	$0.579988\pi$
$114$	−2.53657	+	2.98048i	−0.237572	+	0.279147i
$115$	17.4376	−	12.6691i	1.62606	−	1.18140i
$116$	1.10545	−	0.803157i	0.102639	−	0.0745713i
$117$	−0.935257	+	6.04159i	−0.0864645	+	0.558546i
$118$	−11.7835	−	3.82871i	−1.08476	−	0.352461i
$119$	−1.14533	+	1.57642i	−0.104993	+	0.144510i
$120$	−2.91711	−	4.74166i	−0.266294	−	0.432853i
$121$	−10.7467	+	2.34695i	−0.976974	+	0.213359i
$122$			3.86900i			0.350283i
$123$	6.91300	+	0.531909i	0.623324	+	0.0479606i
$124$	−0.409889	+	1.26151i	−0.0368091	+	0.113287i
$125$	−1.01172	+	0.328729i	−0.0904913	+	0.0294024i
$126$	2.96141	−	0.479659i	0.263823	−	0.0427314i
$127$	11.1136	+	15.2966i	0.986175	+	1.35735i	0.933435	+	0.358745i	$0.116795\pi$
$127$	11.1136	+	15.2966i	0.986175	+	1.35735i	0.0527396	+	0.998608i	$0.483205\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	−12.5982	+	3.04786i	−1.10921	+	0.268349i
$130$	5.29908	+	3.85001i	0.464760	+	0.337668i
$131$	6.95264			0.607455			0.303727	−	0.952759i	$-0.401769\pi$
$131$	6.95264			0.607455			0.303727	+	0.952759i	$0.401769\pi$
$132$	3.51770	+	4.54157i	0.306176	+	0.395293i
$133$	−2.25961			−0.195933
$134$	−6.29251	−	4.57178i	−0.543590	−	0.394941i
$135$	3.81365	−	16.2601i	0.328227	−	1.39945i
$136$	0.602137	+	1.85319i	0.0516329	+	0.158910i
$137$	6.66449	+	9.17288i	0.569386	+	0.783692i	0.992482	−	0.122393i	$-0.0390567\pi$
$137$	6.66449	+	9.17288i	0.569386	+	0.783692i	−0.423096	+	0.906085i	$0.639057\pi$
$138$	10.7386	+	4.42609i	0.914129	+	0.376774i
$139$	−2.42951	+	0.789396i	−0.206068	+	0.0669557i	−0.410232	−	0.911981i	$-0.634552\pi$
$139$	−2.42951	+	0.789396i	−0.206068	+	0.0669557i	0.204164	+	0.978937i	$0.434552\pi$
$140$	0.993237	−	3.05687i	0.0839438	−	0.258353i
$141$	−0.542217	+	7.04697i	−0.0456629	+	0.593462i
$142$		−	5.43466i		−	0.456067i
$143$	−5.86268	−	3.36308i	−0.490262	−	0.281234i
$144$	1.35262	−	2.67776i	0.112718	−	0.223147i
$145$	2.58149	−	3.55312i	0.214381	−	0.295071i
$146$	4.22384	+	1.37241i	0.349567	+	0.113581i
$147$	1.31903	+	1.12257i	0.108791	+	0.0925883i
$148$	−8.61449	+	6.25880i	−0.708107	+	0.514470i
$149$	2.63090	−	1.91146i	0.215532	−	0.156593i	−0.474781	−	0.880104i	$-0.657473\pi$
$149$	2.63090	−	1.91146i	0.215532	−	0.156593i	0.690313	+	0.723511i	$0.257473\pi$
$150$	−7.03168	−	5.98440i	−0.574135	−	0.488624i
$151$	−14.0363	−	4.56068i	−1.14226	−	0.371143i	−0.324037	−	0.946044i	$-0.605040\pi$
$151$	−14.0363	−	4.56068i	−1.14226	−	0.371143i	−0.818223	+	0.574902i	$0.805040\pi$
$152$	−1.32816	+	1.82806i	−0.107728	+	0.148275i
$153$	−2.63566	+	5.21778i	−0.213080	+	0.421832i
$154$	−0.680524	+	3.24606i	−0.0548382	+	0.261575i
$155$			4.26338i			0.342443i
$156$	−0.270783	+	3.51926i	−0.0216800	+	0.281766i
$157$	−2.21194	+	6.80764i	−0.176532	+	0.543309i	−0.999700	−	0.0244885i	$-0.992204\pi$
$157$	−2.21194	+	6.80764i	−0.176532	+	0.543309i	0.823168	+	0.567797i	$0.192204\pi$
$158$	16.3321	−	5.30661i	1.29931	−	0.422171i
$159$	−10.5040	−	4.32940i	−0.833020	−	0.343344i
$160$	−1.88925	−	2.60033i	−0.149358	−	0.205574i
$161$	2.07224	+	6.37770i	0.163315	+	0.502633i
$162$	8.53985	−	2.84093i	0.670954	−	0.223204i
$163$	−3.75971	−	2.73159i	−0.294483	−	0.213955i	0.430727	−	0.902482i	$-0.358257\pi$
$163$	−3.75971	−	2.73159i	−0.294483	−	0.213955i	−0.725210	+	0.688528i	$0.758257\pi$
$164$	4.00302			0.312583
$165$	15.2640	+	10.3891i	1.18830	+	0.808788i
$166$	16.8979			1.31153
$167$	−14.4095	−	10.4691i	−1.11504	−	0.810125i	−0.131591	−	0.991304i	$-0.542008\pi$
$167$	−14.4095	−	10.4691i	−1.11504	−	0.810125i	−0.983450	+	0.181180i	$0.942008\pi$
$168$	1.68348	−	0.407282i	0.129884	−	0.0314225i
$169$	2.73392	+	8.41415i	0.210302	+	0.647242i
$170$	3.68131	+	5.06689i	0.282344	+	0.388613i
$171$	−6.69161	+	1.08384i	−0.511720	+	0.0828833i
$172$	−7.11714	+	2.31250i	−0.542677	+	0.176326i
$173$	4.56218	−	14.0409i	0.346856	−	1.06751i	−0.613727	−	0.789519i	$-0.710330\pi$
$173$	4.56218	−	14.0409i	0.346856	−	1.06751i	0.960583	−	0.277994i	$-0.0896697\pi$
$174$	2.35972	+	0.181565i	0.178890	+	0.0137644i
$175$		−	5.33097i		−	0.402983i
$176$	2.22611	+	2.45854i	0.167800	+	0.185319i
$177$	−11.2448	−	18.2781i	−0.845211	−	1.37386i
$178$	−1.96765	+	2.70823i	−0.147481	+	0.202991i
$179$	−19.7057	−	6.40277i	−1.47287	−	0.478566i	−0.540899	−	0.841088i	$-0.681916\pi$
$179$	−19.7057	−	6.40277i	−1.47287	−	0.478566i	−0.931975	+	0.362522i	$0.881916\pi$
$180$	1.47512	−	9.52905i	0.109949	−	0.710253i
$181$	9.47034	−	6.88060i	0.703925	−	0.511431i	−0.177283	−	0.984160i	$-0.556731\pi$
$181$	9.47034	−	6.88060i	0.703925	−	0.511431i	0.881208	+	0.472729i	$0.156731\pi$
$182$	−1.64866	+	1.19782i	−0.122207	+	0.0887883i
$183$	−4.34324	+	5.10331i	−0.321061	+	0.377248i
$184$	6.37770	+	2.07224i	0.470170	+	0.152768i
$185$	−20.1169	+	27.6886i	−1.47902	+	2.03570i
$186$	−1.95679	+	1.20383i	−0.143479	+	0.0882692i
$187$	−4.33771	−	4.79061i	−0.317205	−	0.350324i
$188$			4.08060i			0.297608i
$189$	4.44462	+	2.69171i	0.323299	+	0.195793i
$190$	−2.24432	+	6.90732i	−0.162820	+	0.501110i
$191$	−14.1196	+	4.58774i	−1.02166	+	0.331957i	−0.771488	−	0.636244i	$-0.780487\pi$
$191$	−14.1196	+	4.58774i	−1.02166	+	0.331957i	−0.250171	+	0.968202i	$0.580487\pi$
$192$	0.660029	−	1.60136i	0.0476335	−	0.115568i
$193$	−10.3168	−	14.1999i	−0.742621	−	1.02213i	−0.998464	−	0.0554117i	$-0.982353\pi$
$193$	−10.3168	−	14.1999i	−0.742621	−	1.02213i	0.255843	−	0.966718i	$-0.417647\pi$
$194$	−3.30956	−	10.1858i	−0.237613	−	0.731297i
$195$	2.66771	+	11.0269i	0.191039	+	0.789651i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	−10.0368			−0.715095			−0.357547	−	0.933895i	$-0.616387\pi$
$197$	−10.0368			−0.715095			−0.357547	+	0.933895i	$0.616387\pi$
$198$	−0.458309	+	9.93931i	−0.0325706	+	0.706356i
$199$	16.5287			1.17169			0.585845	−	0.810423i	$-0.300763\pi$
$199$	16.5287			1.17169			0.585845	+	0.810423i	$0.300763\pi$
$200$	−4.31284	−	3.13346i	−0.304964	−	0.221569i
$201$	−3.16783	−	13.0941i	−0.223442	−	0.923587i
$202$	−3.77504	−	11.6184i	−0.265611	−	0.817466i
$203$	0.803157	+	1.10545i	0.0563706	+	0.0775874i
$204$	−1.28610	+	3.12035i	−0.0900453	+	0.218468i
$205$	12.2367	−	3.97595i	0.854649	−	0.277692i
$206$	5.66695	−	17.4411i	0.394835	−	1.21518i
$207$	9.19586	+	17.8930i	0.639157	+	1.24365i
$208$			2.03785i			0.141300i
$209$	1.53772	−	7.33481i	0.106366	−	0.507359i
$210$	4.74166	−	2.91711i	0.327206	−	0.201300i
$211$	−11.4881	+	15.8120i	−0.790874	+	1.08854i	0.203125	+	0.979153i	$0.434890\pi$
$211$	−11.4881	+	15.8120i	−0.790874	+	1.08854i	−0.993999	+	0.109391i	$0.965110\pi$
$212$	−6.23836	−	2.02697i	−0.428453	−	0.139213i
$213$	6.10081	−	7.16846i	0.418020	−	0.491175i
$214$	10.8637	−	7.89293i	0.742626	−	0.539550i
$215$	−19.4593	+	14.1380i	−1.32711	+	0.964205i
$216$	4.79013	−	2.01363i	0.325927	−	0.137010i
$217$	−1.26151	−	0.409889i	−0.0856367	−	0.0278251i
$218$	−7.91369	+	10.8923i	−0.535982	+	0.737716i
$219$	4.03072	+	6.55181i	0.272371	+	0.442730i
$220$	9.24685	+	5.30438i	0.623422	+	0.357621i
$221$		−	3.97087i		−	0.267110i
$222$	−18.3887	−	1.41489i	−1.23417	−	0.0949609i
$223$	1.82841	−	5.62726i	0.122439	−	0.376829i	−0.870987	−	0.491307i	$-0.836519\pi$
$223$	1.82841	−	5.62726i	0.122439	−	0.376829i	0.993426	+	0.114478i	$0.0365195\pi$
$224$	0.951057	−	0.309017i	0.0635451	−	0.0206471i
$225$	−2.55705	−	15.7872i	−0.170470	−	1.05248i
$226$	0.785135	+	1.08065i	0.0522264	+	0.0718834i
$227$	3.69142	+	11.3610i	0.245008	+	0.754058i	0.995635	+	0.0933316i	$0.0297517\pi$
$227$	3.69142	+	11.3610i	0.245008	+	0.754058i	−0.750627	+	0.660726i	$0.770248\pi$
$228$	−3.80401	+	0.920298i	−0.251927	+	0.0609482i
$229$	−3.84143	−	2.79096i	−0.253849	−	0.184432i	0.453582	−	0.891215i	$-0.350146\pi$
$229$	−3.84143	−	2.79096i	−0.253849	−	0.184432i	−0.707431	+	0.706783i	$0.750146\pi$
$230$	21.5540			1.42123
$231$	−4.54157	+	3.51770i	−0.298813	+	0.231447i
$232$	1.36641			0.0897094
$233$	−1.12870	−	0.820050i	−0.0739437	−	0.0537233i	0.550199	−	0.835033i	$-0.314552\pi$
$233$	−1.12870	−	0.820050i	−0.0739437	−	0.0537233i	−0.624143	+	0.781310i	$0.714552\pi$
$234$	−4.30780	+	4.33802i	−0.281610	+	0.283585i
$235$	4.05300	+	12.4739i	0.264389	+	0.813704i
$236$	−7.28263	−	10.0237i	−0.474059	−	0.652486i
$237$	27.4995	+	11.3344i	1.78628	+	0.736247i
$238$	−1.85319	+	0.602137i	−0.120124	+	0.0390308i
$239$	3.67154	−	11.2998i	0.237492	−	0.730925i	−0.759289	−	0.650753i	$-0.774453\pi$
$239$	3.67154	−	11.2998i	0.237492	−	0.730925i	0.996781	−	0.0801717i	$-0.0255469\pi$
$240$	0.427090	−	5.55072i	0.0275686	−	0.358297i
$241$			20.0857i			1.29383i	0.762560	+	0.646917i	$0.223942\pi$
$241$			20.0857i			1.29383i	−0.762560	+	0.646917i	$0.776058\pi$
$242$	−10.0738	−	4.41804i	−0.647567	−	0.284002i
$243$	14.4534	+	5.83935i	0.927189	+	0.374595i
$244$	−2.27414	+	3.13009i	−0.145587	+	0.200383i
$245$	3.05687	+	0.993237i	0.195296	+	0.0634556i
$246$	5.28009	+	4.49368i	0.336646	+	0.286507i
$247$	3.72531	−	2.70660i	0.237036	−	0.172217i
$248$	−1.07310	+	0.779655i	−0.0681421	+	0.0495081i
$249$	22.2887	+	18.9691i	1.41249	+	1.20212i
$250$	−1.01172	−	0.328729i	−0.0639870	−	0.0207907i
$251$	0.608226	−	0.837152i	0.0383909	−	0.0528406i	−0.789390	−	0.613892i	$-0.789603\pi$
$251$	0.608226	−	0.837152i	0.0383909	−	0.0528406i	0.827781	+	0.561051i	$0.189603\pi$
$252$	2.67776	+	1.35262i	0.168683	+	0.0852070i
$253$	−22.1126	+	2.38643i	−1.39021	+	0.150034i
$254$			18.9076i			1.18637i
$255$	−0.832210	+	10.8159i	−0.0521150	+	0.677318i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	20.5772	−	6.68592i	1.28357	−	0.417056i	0.413732	−	0.910399i	$-0.364225\pi$
$257$	20.5772	−	6.68592i	1.28357	−	0.417056i	0.869835	+	0.493342i	$0.164225\pi$
$258$	−11.9836	−	4.93926i	−0.746069	−	0.307505i
$259$	−6.25880	−	8.61449i	−0.388903	−	0.535279i
$260$	2.02407	+	6.22945i	0.125527	+	0.386334i
$261$	2.90871	+	2.88845i	0.180045	+	0.178790i
$262$	5.62480	+	4.08666i	0.347501	+	0.252475i
$263$	−12.2346			−0.754419			−0.377210	−	0.926128i	$-0.623116\pi$
$263$	−12.2346			−0.754419			−0.377210	+	0.926128i	$0.623116\pi$
$264$	0.176410	+	5.74185i	0.0108573	+	0.353387i
$265$	−21.0831			−1.29513
$266$	−1.82806	−	1.32816i	−0.112086	−	0.0814349i
$267$	−5.63557	+	1.36340i	−0.344891	+	0.0834389i
$268$	−2.40353	−	7.39729i	−0.146819	−	0.451862i
$269$	1.58755	+	2.18508i	0.0967949	+	0.133227i	0.854667	−	0.519176i	$-0.173761\pi$
$269$	1.58755	+	2.18508i	0.0967949	+	0.133227i	−0.757872	+	0.652403i	$0.773761\pi$
$270$	12.6428	−	10.9131i	0.769415	−	0.664152i
$271$	−29.0807	+	9.44889i	−1.76653	+	0.573979i	−0.997843	−	0.0656503i	$-0.979088\pi$
$271$	−29.0807	+	9.44889i	−1.76653	+	0.573979i	−0.768683	+	0.639629i	$0.779088\pi$
$272$	−0.602137	+	1.85319i	−0.0365099	+	0.112366i
$273$	−3.51926	−	0.270783i	−0.212995	−	0.0163886i
$274$			11.3383i			0.684972i
$275$	17.3046	+	3.62785i	1.04351	+	0.218768i
$276$	6.08611	+	9.89277i	0.366341	+	0.595475i
$277$	4.96009	−	6.82697i	0.298023	−	0.410193i	−0.633577	−	0.773680i	$-0.718414\pi$
$277$	4.96009	−	6.82697i	0.298023	−	0.410193i	0.931599	+	0.363487i	$0.118414\pi$
$278$	−2.42951	−	0.789396i	−0.145712	−	0.0473448i
$279$	−3.93244	−	0.608754i	−0.235429	−	0.0364451i
$280$	2.60033	−	1.88925i	0.155399	−	0.112904i
$281$	−5.12347	+	3.72242i	−0.305641	+	0.222061i	−0.730024	−	0.683422i	$-0.760491\pi$
$281$	−5.12347	+	3.72242i	−0.305641	+	0.222061i	0.424383	+	0.905483i	$0.360491\pi$
$282$	−4.58077	+	5.38241i	−0.272781	+	0.320518i
$283$	−8.12430	−	2.63975i	−0.482940	−	0.156917i	0.0574211	−	0.998350i	$-0.481712\pi$
$283$	−8.12430	−	2.63975i	−0.482940	−	0.156917i	−0.540361	+	0.841433i	$0.681712\pi$
$284$	3.19442	−	4.39674i	0.189554	−	0.260898i
$285$	−10.7143	+	6.59151i	−0.634660	+	0.390448i
$286$	−2.76624	−	6.16678i	−0.163571	−	0.364649i
$287$			4.00302i			0.236291i
$288$	2.66824	−	1.37131i	0.157228	−	0.0808051i
$289$	−4.07999	+	12.5569i	−0.239999	+	0.738642i
$290$	4.17694	−	1.35717i	0.245279	−	0.0796958i
$291$	7.06890	−	17.1506i	0.414386	−	1.00538i
$292$	2.61047	+	3.59301i	0.152766	+	0.210265i
$293$	1.86185	+	5.73018i	0.108770	+	0.334761i	0.990597	−	0.136813i	$-0.0436860\pi$
$293$	1.86185	+	5.73018i	0.108770	+	0.334761i	−0.881826	+	0.471574i	$0.843686\pi$
$294$	0.407282	+	1.68348i	0.0237532	+	0.0981828i
$295$	−32.2179	−	23.4077i	−1.87580	−	1.36285i
$296$	−10.6481			−0.618908
$297$	−11.7621	+	12.5957i	−0.682508	+	0.730878i
$298$	3.25197			0.188382
$299$	−11.0557	−	8.03247i	−0.639370	−	0.464530i
$300$	−2.17121	−	8.97460i	−0.125355	−	0.518149i
$301$	−2.31250	−	7.11714i	−0.133290	−	0.410225i
$302$	−8.67492	−	11.9400i	−0.499186	−	0.687070i
$303$	8.06310	−	19.5627i	0.463213	−	1.12385i
$304$	−2.14901	+	0.698257i	−0.123254	+	0.0400478i
$305$	−3.84283	+	11.8270i	−0.220040	+	0.677214i
$306$	−5.19922	+	2.67207i	−0.297220	+	0.152752i
$307$			30.5158i			1.74163i	0.491614	+	0.870813i	$0.336407\pi$
$307$			30.5158i			1.74163i	−0.491614	+	0.870813i	$0.663593\pi$
$308$	−2.45854	+	2.22611i	−0.140088	+	0.126845i
$309$	27.0538	−	16.6437i	1.53903	−	0.946826i
$310$	−2.50595	+	3.44915i	−0.142329	+	0.195898i
$311$	19.5997	+	6.36833i	1.11140	+	0.361115i	0.806479	−	0.591263i	$-0.201371\pi$
$311$	19.5997	+	6.36833i	1.11140	+	0.361115i	0.304919	+	0.952378i	$0.401371\pi$
$312$	−2.28764	+	2.68798i	−0.129512	+	0.152177i
$313$	−17.0996	+	12.4236i	−0.966526	+	0.702222i	−0.954657	−	0.297707i	$-0.903778\pi$
$313$	−17.0996	+	12.4236i	−0.966526	+	0.702222i	−0.0118690	+	0.999930i	$0.503778\pi$
$314$	−5.79093	+	4.20735i	−0.326801	+	0.237435i
$315$	9.52905	+	1.47512i	0.536901	+	0.0831138i
$316$	16.3321	+	5.30661i	0.918750	+	0.298520i
$317$	2.02444	−	2.78640i	0.113704	−	0.156500i	−0.748372	−	0.663279i	$-0.769164\pi$
$317$	2.02444	−	2.78640i	0.113704	−	0.156500i	0.862076	+	0.506779i	$0.169164\pi$
$318$	−5.95314	−	9.67664i	−0.333836	−	0.542639i
$319$	−4.13492	+	1.85481i	−0.231511	+	0.103849i
$320$		−	3.21418i		−	0.179678i
$321$	23.1899	+	1.78430i	1.29433	+	0.0995901i
$322$	−2.07224	+	6.37770i	−0.115481	+	0.355415i
$323$	4.18748	−	1.36059i	0.232997	−	0.0757054i
$324$	8.57874	+	2.72124i	0.476597	+	0.151180i
$325$	6.38554	+	8.78894i	0.354206	+	0.487523i
$326$	−1.43608	−	4.41981i	−0.0795373	−	0.244791i
$327$	−22.6657	+	5.48347i	−1.25342	+	0.303237i
$328$	3.23851	+	2.35292i	0.178817	+	0.129918i
$329$	−4.08060			−0.224971
$330$	6.24228	+	17.3769i	0.343626	+	0.956566i
$331$	1.62471			0.0893022			0.0446511	−	0.999003i	$-0.485782\pi$
$331$	1.62471			0.0893022			0.0446511	+	0.999003i	$0.485782\pi$
$332$	13.6707	+	9.93232i	0.750275	+	0.545107i
$333$	−22.6669	−	22.5089i	−1.24214	−	1.23348i
$334$	−5.50394	−	16.9394i	−0.301162	−	0.926882i
$335$	−14.6945	−	20.2253i	−0.802848	−	1.10503i
$336$	1.60136	+	0.660029i	0.0873615	+	0.0360075i
$337$	19.0344	−	6.18466i	1.03687	−	0.336900i	0.259368	−	0.965778i	$-0.416486\pi$
$337$	19.0344	−	6.18466i	1.03687	−	0.336900i	0.777504	+	0.628878i	$0.216486\pi$
$338$	−2.73392	+	8.41415i	−0.148706	+	0.457669i
$339$	−0.177490	+	2.30677i	−0.00963995	+	0.125287i
$340$			6.26302i			0.339660i
$341$	2.18901	−	3.81599i	0.118541	−	0.206647i
$342$	−6.05069	−	3.05639i	−0.327184	−	0.165270i
$343$	−0.587785	+	0.809017i	−0.0317374	+	0.0436828i
$344$	−7.11714	−	2.31250i	−0.383730	−	0.124682i
$345$	28.4303	+	24.1960i	1.53064	+	1.30267i
$346$	11.9439	−	8.67778i	0.642110	−	0.466520i
$347$	6.43985	−	4.67883i	0.345709	−	0.251173i	−0.401357	−	0.915921i	$-0.631461\pi$
$347$	6.43985	−	4.67883i	0.345709	−	0.251173i	0.747067	+	0.664749i	$0.231461\pi$
$348$	1.80233	+	1.53390i	0.0966152	+	0.0822256i
$349$	14.7235	+	4.78397i	0.788133	+	0.256080i	0.675309	−	0.737535i	$-0.264010\pi$
$349$	14.7235	+	4.78397i	0.788133	+	0.256080i	0.112824	+	0.993615i	$0.464010\pi$
$350$	3.13346	−	4.31284i	0.167491	−	0.230531i
$351$	−10.5518	+	0.886145i	−0.563216	+	0.0472989i
$352$	0.355870	+	3.29748i	0.0189679	+	0.175756i
$353$		−	11.1770i		−	0.594893i	−0.954738	−	0.297447i	$-0.903865\pi$
$353$		−	11.1770i		−	0.594893i	0.954738	−	0.297447i	$-0.0961350\pi$
$354$	1.64634	−	21.3968i	0.0875019	−	1.13723i
$355$	5.39791	−	16.6131i	0.286491	−	0.881729i
$356$	−3.18372	+	1.03445i	−0.168737	+	0.0548259i
$357$	−3.12035	−	1.28610i	−0.165146	−	0.0680679i
$358$	−12.1788	−	16.7627i	−0.643670	−	0.885935i
$359$	3.64008	+	11.2030i	0.192116	+	0.591272i	0.999998	+	0.00192821i	$0.000613770\pi$
$359$	3.64008	+	11.2030i	0.192116	+	0.591272i	−0.807882	+	0.589344i	$0.799386\pi$
$360$	6.79443	−	6.84210i	0.358098	−	0.360611i
$361$	−11.2406	−	8.16680i	−0.591612	−	0.429831i
$362$	11.7060			0.615253
$363$	−8.32799	−	17.1361i	−0.437106	−	0.899410i
$364$	−2.03785			−0.106812
$365$	11.5486	+	8.39054i	0.604481	+	0.439181i
$366$	−6.51340	+	1.57578i	−0.340461	+	0.0823671i
$367$	0.379295	+	1.16735i	0.0197990	+	0.0609351i	0.960468	−	0.278391i	$-0.0898010\pi$
$367$	0.379295	+	1.16735i	0.0197990	+	0.0609351i	−0.940669	+	0.339326i	$0.889801\pi$
$368$	3.94163	+	5.42519i	0.205472	+	0.282808i
$369$	1.92008	+	11.8546i	0.0999556	+	0.617124i
$370$	−32.5498	+	10.5761i	−1.69219	+	0.549824i
$371$	2.02697	−	6.23836i	0.105235	−	0.323880i
$372$	−2.29067	−	0.176252i	−0.118766	−	0.00913822i
$373$		−	28.1677i		−	1.45847i	−0.684264	−	0.729235i	$-0.739876\pi$
$373$		−	28.1677i		−	1.45847i	0.684264	−	0.729235i	$-0.260124\pi$
$374$	−0.693433	−	6.42532i	−0.0358566	−	0.332246i
$375$	−0.965468	−	1.56934i	−0.0498565	−	0.0810402i
$376$	−2.39851	+	3.30127i	−0.123694	+	0.170250i
$377$	−2.64826	−	0.860472i	−0.136392	−	0.0443166i
$378$	2.01363	+	4.79013i	0.103570	+	0.246377i
$379$	−15.7707	+	11.4581i	−0.810087	+	0.588563i	−0.913856	−	0.406039i	$-0.866910\pi$
$379$	−15.7707	+	11.4581i	−0.810087	+	0.588563i	0.103769	+	0.994601i	$0.466910\pi$
$380$	−5.87572	+	4.26896i	−0.301418	+	0.218993i
$381$	−21.2252	+	24.9397i	−1.08740	+	1.27770i
$382$	−14.1196	−	4.58774i	−0.722422	−	0.234729i
$383$	19.3235	−	26.5965i	0.987383	−	1.35902i	0.0546278	−	0.998507i	$-0.482603\pi$
$383$	19.3235	−	26.5965i	0.987383	−	1.35902i	0.932755	−	0.360510i	$-0.117397\pi$
$384$	1.47523	−	0.907574i	0.0752826	−	0.0463144i
$385$	−5.30438	+	9.24685i	−0.270336	+	0.471263i
$386$		−	17.5520i		−	0.893374i
$387$	−10.2620	−	19.9675i	−0.521649	−	1.01501i
$388$	3.30956	−	10.1858i	0.168018	−	0.517105i
$389$	−31.6670	+	10.2892i	−1.60558	+	0.521685i	−0.968479	−	0.249096i	$-0.919867\pi$
$389$	−31.6670	+	10.2892i	−1.60558	+	0.521685i	−0.637101	+	0.770780i	$0.719867\pi$
$390$	−4.32321	+	10.4890i	−0.218914	+	0.531130i
$391$	−7.68050	−	10.5713i	−0.388420	−	0.534614i
$392$	0.309017	+	0.951057i	0.0156077	+	0.0480356i
$393$	2.83169	+	11.7047i	0.142840	+	0.590422i
$394$	−8.11997	−	5.89950i	−0.409078	−	0.297213i
$395$	55.1957			2.77720
$396$	−6.21296	+	7.77169i	−0.312213	+	0.390542i
$397$	31.3780			1.57482			0.787408	−	0.616432i	$-0.211423\pi$
$397$	31.3780			1.57482			0.787408	+	0.616432i	$0.211423\pi$
$398$	13.3720	+	9.71535i	0.670279	+	0.486986i
$399$	−0.920298	−	3.80401i	−0.0460725	−	0.190439i
$400$	−1.64736	−	5.07005i	−0.0823680	−	0.253503i
$401$	15.7050	+	21.6161i	0.784272	+	1.07946i	0.994798	+	0.101869i	$0.0324823\pi$
$401$	15.7050	+	21.6161i	0.784272	+	1.07946i	−0.210526	+	0.977588i	$0.567518\pi$
$402$	5.13369	−	12.4554i	0.256045	−	0.621217i
$403$	2.57077	−	0.835293i	0.128059	−	0.0416089i
$404$	3.77504	−	11.6184i	0.187815	−	0.578035i
$405$	28.9269	−	0.202249i	1.43739	−	0.0100498i
$406$			1.36641i			0.0678139i
$407$	32.2224	−	14.4540i	1.59721	−	0.716460i
$408$	−2.87457	+	1.76846i	−0.142313	+	0.0875518i
$409$	1.51002	−	2.07837i	0.0746659	−	0.102769i	−0.770051	−	0.637983i	$-0.779769\pi$
$409$	1.51002	−	2.07837i	0.0746659	−	0.102769i	0.844716	+	0.535214i	$0.179769\pi$
$410$	12.2367	+	3.97595i	0.604328	+	0.196358i
$411$	−12.7281	+	14.9555i	−0.627830	+	0.737701i
$412$	14.8363	−	10.7792i	0.730931	−	0.531052i
$413$	10.0237	−	7.28263i	0.493233	−	0.358355i
$414$	−3.07762	+	19.8809i	−0.151257	+	0.977094i
$415$	51.6546	+	16.7836i	2.53562	+	0.823874i
$416$	−1.19782	+	1.64866i	−0.0587279	+	0.0808321i
$417$	−2.31843	−	3.76854i	−0.113534	−	0.184546i
$418$	5.55533	−	5.03014i	0.271720	−	0.246032i
$419$			25.8665i			1.26366i	0.775106	+	0.631831i	$0.217696\pi$
$419$			25.8665i			1.26366i	−0.775106	+	0.631831i	$0.782304\pi$
$420$	5.55072	+	0.427090i	0.270847	+	0.0208399i
$421$	12.1929	−	37.5259i	0.594246	−	1.82890i	0.0357996	−	0.999359i	$-0.488602\pi$
$421$	12.1929	−	37.5259i	0.594246	−	1.82890i	0.558446	−	0.829541i	$-0.311398\pi$
$422$	−18.5881	+	6.03965i	−0.904856	+	0.294006i
$423$	−12.0843	+	1.95729i	−0.587559	+	0.0951669i
$424$	−3.85552	−	5.30667i	−0.187241	−	0.257715i
$425$	3.20997	+	9.87929i	0.155707	+	0.479216i
$426$	9.14917	−	2.21344i	0.443279	−	0.107242i
$427$	−3.13009	−	2.27414i	−0.151476	−	0.110053i
$428$	13.4283			0.649079
$429$	3.27392	−	11.2394i	0.158066	−	0.542646i
$430$	−24.0530			−1.15994
$431$	−22.4943	−	16.3431i	−1.08351	−	0.787218i	−0.105221	−	0.994449i	$-0.533555\pi$
$431$	−22.4943	−	16.3431i	−1.08351	−	0.787218i	−0.978292	+	0.207230i	$0.933555\pi$
$432$	5.05887	+	1.18651i	0.243395	+	0.0570858i
$433$	−0.505343	−	1.55529i	−0.0242853	−	0.0747423i	0.938179	−	0.346149i	$-0.112511\pi$
$433$	−0.505343	−	1.55529i	−0.0242853	−	0.0747423i	−0.962465	+	0.271407i	$0.912511\pi$
$434$	−0.779655	−	1.07310i	−0.0374246	−	0.0515106i
$435$	7.03302	+	2.89878i	0.337208	+	0.138986i
$436$	−12.8046	+	4.16047i	−0.613230	+	0.199250i
$437$	4.68244	−	14.4111i	0.223992	−	0.689376i
$438$	−0.590133	+	7.66972i	−0.0281977	+	0.366474i
$439$		−	18.4641i		−	0.881242i	−0.897693	−	0.440621i	$-0.854758\pi$
$439$		−	18.4641i		−	0.881242i	0.897693	−	0.440621i	$-0.145242\pi$
$440$	4.36302	+	9.72649i	0.207999	+	0.463692i
$441$	−1.35262	+	2.67776i	−0.0644104	+	0.127513i
$442$	2.33402	−	3.21250i	0.111018	−	0.152803i
$443$	−19.3045	−	6.27241i	−0.917184	−	0.298011i	−0.187873	−	0.982193i	$-0.560159\pi$
$443$	−19.3045	−	6.27241i	−0.917184	−	0.298011i	−0.729311	+	0.684182i	$0.760159\pi$
$444$	−14.0451	−	11.9533i	−0.666552	−	0.567277i
$445$	−8.70476	+	6.32438i	−0.412645	+	0.299804i
$446$	4.78683	−	3.47784i	0.226663	−	0.164680i
$447$	4.28943	+	3.65057i	0.202883	+	0.172666i
$448$	0.951057	+	0.309017i	0.0449332	+	0.0145997i
$449$	−19.6561	+	27.0543i	−0.927629	+	1.27677i	0.0331478	+	0.999450i	$0.489447\pi$
$449$	−19.6561	+	27.0543i	−0.927629	+	1.27677i	−0.960777	+	0.277322i	$0.910553\pi$
$450$	7.21077	−	14.2751i	0.339919	−	0.672933i
$451$	−12.9940	−	2.72415i	−0.611865	−	0.128275i
$452$			1.33575i			0.0628284i
$453$	1.96108	−	25.4874i	0.0921398	−	1.19750i
$454$	−3.69142	+	11.3610i	−0.173247	+	0.533200i
$455$	−6.22945	+	2.02407i	−0.292041	+	0.0948899i
$456$	−3.61845	−	1.49141i	−0.169449	−	0.0698415i
$457$	−11.3421	−	15.6110i	−0.530559	−	0.730252i	0.456656	−	0.889643i	$-0.349047\pi$
$457$	−11.3421	−	15.6110i	−0.530559	−	0.730252i	−0.987216	+	0.159391i	$0.949047\pi$
$458$	−1.46730	−	4.51587i	−0.0685622	−	0.211013i
$459$	−9.85751	−	2.31198i	−0.460109	−	0.107914i
$460$	17.4376	+	12.6691i	0.813030	+	0.590701i
$461$	21.9741			1.02344			0.511718	−	0.859153i	$-0.329009\pi$
$461$	21.9741			1.02344			0.511718	+	0.859153i	$0.329009\pi$
$462$	−5.74185	+	0.176410i	−0.267135	+	0.00820732i
$463$	−17.0096			−0.790503			−0.395252	−	0.918573i	$-0.629343\pi$
$463$	−17.0096			−0.790503			−0.395252	+	0.918573i	$0.629343\pi$
$464$	1.10545	+	0.803157i	0.0513193	+	0.0372856i
$465$	−7.17734	+	1.73640i	−0.332841	+	0.0805236i
$466$	−0.431126	−	1.32687i	−0.0199715	−	0.0614660i
$467$	18.3338	+	25.2343i	0.848388	+	1.16771i	0.984216	+	0.176973i	$0.0566306\pi$
$467$	18.3338	+	25.2343i	0.848388	+	1.16771i	−0.135828	+	0.990732i	$0.543369\pi$
$468$	−6.03491	+	0.977474i	−0.278964	+	0.0451837i
$469$	7.39729	−	2.40353i	0.341575	−	0.110985i
$470$	−4.05300	+	12.4739i	−0.186951	+	0.575376i
$471$	−12.3614	−	0.951129i	−0.569585	−	0.0438257i
$472$		−	12.3900i		−	0.570294i
$473$	24.6764	−	2.66312i	1.13462	−	0.122450i
$474$	15.5854	+	25.3335i	0.715859	+	1.16361i
$475$	−7.08039	+	9.74533i	−0.324871	+	0.447146i
$476$	−1.85319	−	0.602137i	−0.0849407	−	0.0275989i
$477$	3.01039	−	19.4466i	0.137836	−	0.890398i
$478$	9.61221	−	6.98368i	0.439652	−	0.319426i
$479$	−10.1209	+	7.35330i	−0.462438	+	0.335981i	−0.794487	−	0.607281i	$-0.792260\pi$
$479$	−10.1209	+	7.35330i	−0.462438	+	0.335981i	0.332049	+	0.943262i	$0.392260\pi$
$480$	3.60815	−	4.23959i	0.164689	−	0.193510i
$481$	20.6372	+	6.70544i	0.940976	+	0.305742i
$482$	−11.8061	+	16.2497i	−0.537753	+	0.740153i
$483$	−9.89277	+	6.08611i	−0.450137	+	0.276927i
$484$	−5.55299	−	9.49549i	−0.252409	−	0.431613i
$485$		−	34.4238i		−	1.56310i
$486$	8.26079	+	13.2197i	0.374717	+	0.599656i
$487$	8.28482	−	25.4980i	0.375421	−	1.15543i	−0.567773	−	0.823185i	$-0.692195\pi$
$487$	8.28482	−	25.4980i	0.375421	−	1.15543i	0.943194	−	0.332242i	$-0.107805\pi$
$488$	−3.67964	+	1.19559i	−0.166569	+	0.0541217i
$489$	3.06733	−	7.44195i	0.138709	−	0.336537i
$490$	1.88925	+	2.60033i	0.0853476	+	0.117471i
$491$	−2.00218	−	6.16208i	−0.0903572	−	0.278091i	0.895659	−	0.444742i	$-0.146705\pi$
$491$	−2.00218	−	6.16208i	−0.0903572	−	0.278091i	−0.986016	+	0.166651i	$0.946705\pi$
$492$	1.63036	+	6.73902i	0.0735023	+	0.303819i
$493$	−2.15403	−	1.56500i	−0.0970128	−	0.0704840i
$494$	4.60474			0.207177
$495$	−11.2731	+	29.9280i	−0.506687	+	1.34516i
$496$	−1.32643			−0.0595584
$497$	4.39674	+	3.19442i	0.197221	+	0.143289i
$498$	6.88221	+	28.4473i	0.308399	+	1.27475i
$499$	11.4672	+	35.2924i	0.513342	+	1.57990i	0.786279	+	0.617871i	$0.212005\pi$
$499$	11.4672	+	35.2924i	0.513342	+	1.57990i	−0.272938	+	0.962032i	$0.587995\pi$
$500$	−0.625280	−	0.860624i	−0.0279634	−	0.0384883i
$501$	11.7559	−	28.5221i	0.525213	−	1.27427i
$502$	0.984131	−	0.319764i	0.0439239	−	0.0142717i
$503$	3.42645	−	10.5455i	0.152778	−	0.470202i	−0.845151	−	0.534528i	$-0.820490\pi$
$503$	3.42645	−	10.5455i	0.152778	−	0.470202i	0.997929	+	0.0643253i	$0.0204895\pi$
$504$	1.37131	+	2.66824i	0.0610829	+	0.118853i
$505$		−	39.2653i		−	1.74728i
$506$	−19.2922	−	11.0668i	−0.857641	−	0.491979i
$507$	−13.0516	+	8.02945i	−0.579642	+	0.356600i
$508$	−11.1136	+	15.2966i	−0.493088	+	0.678677i
$509$	13.5714	+	4.40962i	0.601542	+	0.195453i	0.593928	−	0.804518i	$-0.297576\pi$
$509$	13.5714	+	4.40962i	0.601542	+	0.195453i	0.00761381	+	0.999971i	$0.497576\pi$
$510$	−7.03070	+	8.26108i	−0.311325	+	0.365807i
$511$	−3.59301	+	2.61047i	−0.158945	+	0.115481i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	−4.55000	−	10.8238i	−0.200888	−	0.477882i
$514$	20.5772	+	6.68592i	0.907620	+	0.294903i
$515$	34.6463	−	47.6865i	1.52670	−	2.10132i
$516$	−6.79174	−	11.0398i	−0.298990	−	0.485998i
$517$	2.77695	−	13.2459i	0.122130	−	0.582552i
$518$		−	10.6481i		−	0.467851i
$519$	25.4958	+	1.96173i	1.11914	+	0.0861104i
$520$	−2.02407	+	6.22945i	−0.0887613	+	0.273179i
$521$	−5.24345	+	1.70370i	−0.229720	+	0.0746404i	−0.421615	−	0.906775i	$-0.638537\pi$
$521$	−5.24345	+	1.70370i	−0.229720	+	0.0746404i	0.191895	+	0.981415i	$0.438537\pi$
$522$	0.655412	+	4.04650i	0.0286866	+	0.177111i
$523$	22.6467	+	31.1705i	0.990272	+	1.36299i	0.931108	+	0.364744i	$0.118843\pi$
$523$	22.6467	+	31.1705i	0.990272	+	1.36299i	0.0591637	+	0.998248i	$0.481157\pi$
$524$	2.14848	+	6.61235i	0.0938569	+	0.288862i
$525$	8.97460	−	2.17121i	0.391684	−	0.0947593i
$526$	−9.89802	−	7.19133i	−0.431574	−	0.313557i
$527$	2.58462			0.112588
$528$	−3.23226	+	4.74895i	−0.140666	+	0.206671i
$529$	−21.9692			−0.955183
$530$	−17.0566	−	12.3923i	−0.740891	−	0.538289i
$531$	26.1910	−	26.3748i	1.13659	−	1.14457i
$532$	−0.698257	−	2.14901i	−0.0302733	−	0.0931715i
$533$	−4.79490	−	6.59961i	−0.207690	−	0.285861i
$534$	−5.36066	−	2.20949i	−0.231978	−	0.0956139i
$535$	41.0484	−	13.3374i	1.77468	−	0.576628i
$536$	2.40353	−	7.39729i	0.103817	−	0.319514i
$537$	2.75318	−	35.7820i	0.118809	−	1.54411i
$538$			2.70091i			0.116444i
$539$	−2.22611	−	2.45854i	−0.0958855	−	0.105897i
$540$	16.6428	−	1.39766i	0.716192	−	0.0601459i
$541$	2.73817	−	3.76877i	0.117723	−	0.162032i	−0.746089	−	0.665847i	$-0.768071\pi$
$541$	2.73817	−	3.76877i	0.117723	−	0.162032i	0.863812	+	0.503815i	$0.168071\pi$
$542$	−29.0807	−	9.44889i	−1.24912	−	0.405865i
$543$	15.4405	+	13.1408i	0.662615	+	0.563927i
$544$	−1.57642	+	1.14533i	−0.0675883	+	0.0491058i
$545$	−35.0097	+	25.4360i	−1.49965	+	1.08956i
$546$	−2.68798	−	2.28764i	−0.115035	−	0.0979019i
$547$	11.9147	+	3.87132i	0.509435	+	0.165526i	0.552445	−	0.833549i	$-0.313695\pi$
$547$	11.9147	+	3.87132i	0.509435	+	0.165526i	−0.0430101	+	0.999075i	$0.513695\pi$
$548$	−6.66449	+	9.17288i	−0.284693	+	0.391846i
$549$	−10.3603	−	5.23328i	−0.442166	−	0.223351i
$550$	11.8673	+	13.1064i	0.506025	+	0.558859i
$551$		−	3.08755i		−	0.131534i
$552$	−0.891060	+	11.5807i	−0.0379260	+	0.492909i
$553$	−5.30661	+	16.3321i	−0.225660	+	0.694510i
$554$	8.02559	−	2.60767i	0.340975	−	0.110789i
$555$	−54.8065	−	22.5895i	−2.32641	−	0.958869i
$556$	−1.50152	−	2.06666i	−0.0636786	−	0.0876461i
$557$	−3.26778	−	10.0572i	−0.138460	−	0.426136i	0.857652	−	0.514230i	$-0.171922\pi$
$557$	−3.26778	−	10.0572i	−0.138460	−	0.426136i	−0.996112	+	0.0880940i	$0.971922\pi$
$558$	−2.82360	−	2.80393i	−0.119532	−	0.118700i
$559$	12.3376	+	8.96377i	0.521823	+	0.379127i
$560$	3.21418			0.135824
$561$	6.29824	−	9.25360i	0.265912	−	0.390687i
$562$	−6.33296			−0.267140
$563$	−26.9712	−	19.5957i	−1.13670	−	0.825861i	−0.150045	−	0.988679i	$-0.547942\pi$
$563$	−26.9712	−	19.5957i	−1.13670	−	0.825861i	−0.986656	+	0.162818i	$0.947942\pi$
$564$	−6.86962	+	1.66196i	−0.289263	+	0.0699810i
$565$	1.32672	+	4.08322i	0.0558154	+	0.171782i
$566$	−5.02109	−	6.91094i	−0.211052	−	0.290489i
$567$	−2.72124	+	8.57874i	−0.114281	+	0.360273i
$568$	5.16867	−	1.67940i	0.216873	−	0.0704662i
$569$	−3.97502	+	12.2338i	−0.166641	+	0.512869i	−0.999153	−	0.0411374i	$-0.986902\pi$
$569$	−3.97502	+	12.2338i	−0.166641	+	0.512869i	0.832512	+	0.554007i	$0.186902\pi$
$570$	−12.5424	−	0.965056i	−0.525345	−	0.0404217i
$571$		−	11.5446i		−	0.483128i	−0.970385	−	0.241564i	$-0.922340\pi$
$571$		−	11.5446i		−	0.483128i	0.970385	−	0.241564i	$-0.0776604\pi$
$572$	1.38681	−	6.61498i	0.0579853	−	0.276586i
$573$	−13.4741	−	21.9016i	−0.562887	−	0.914954i
$574$	−2.35292	+	3.23851i	−0.0982088	+	0.135173i
$575$	33.9993	+	11.0470i	1.41787	+	0.460693i
$576$	2.96469	+	0.458942i	0.123529	+	0.0191226i
$577$	22.1538	−	16.0957i	0.922276	−	0.670073i	−0.0218135	−	0.999762i	$-0.506944\pi$
$577$	22.1538	−	16.0957i	0.922276	−	0.670073i	0.944089	+	0.329689i	$0.106944\pi$
$578$	−10.6816	+	7.76060i	−0.444294	+	0.322798i
$579$	19.7034	−	23.1516i	0.818847	−	0.962147i
$580$	4.17694	+	1.35717i	0.173438	+	0.0563535i
$581$	−9.93232	+	13.6707i	−0.412062	+	0.567155i
$582$	15.7997	−	9.72009i	0.654919	−	0.402911i
$583$	18.8707	+	10.8250i	0.781544	+	0.448326i
$584$			4.44120i			0.183778i
$585$	−17.4771	+	8.98210i	−0.722588	+	0.371364i
$586$	−1.86185	+	5.73018i	−0.0769123	+	0.236712i
$587$	−33.7389	+	10.9624i	−1.39255	+	0.452468i	−0.906775	−	0.421615i	$-0.861463\pi$
$587$	−33.7389	+	10.9624i	−1.39255	+	0.452468i	−0.485777	+	0.874083i	$0.661463\pi$
$588$	−0.660029	+	1.60136i	−0.0272191	+	0.0660391i
$589$	1.76171	+	2.42479i	0.0725901	+	0.0999117i
$590$	−12.3062	−	37.8745i	−0.506637	−	1.55927i
$591$	−4.08783	−	16.8969i	−0.168151	−	0.695044i
$592$	−8.61449	−	6.25880i	−0.354053	−	0.257235i
$593$	−31.6489			−1.29967			−0.649833	−	0.760077i	$-0.725161\pi$
$593$	−31.6489			−1.29967			−0.649833	+	0.760077i	$0.725161\pi$
$594$	−16.9193	+	3.27655i	−0.694209	+	0.134439i
$595$	−6.26302			−0.256759
$596$	2.63090	+	1.91146i	0.107766	+	0.0782964i
$597$	6.73186	+	27.8259i	0.275517	+	1.13884i
$598$	−4.22292	−	12.9968i	−0.172688	−	0.531479i
$599$	21.7237	+	29.9001i	0.887608	+	1.22169i	0.974255	+	0.225448i	$0.0723846\pi$
$599$	21.7237	+	29.9001i	0.887608	+	1.22169i	−0.0866477	+	0.996239i	$0.527615\pi$
$600$	3.51859	−	8.53681i	0.143646	−	0.348514i
$601$	−26.5078	+	8.61290i	−1.08127	+	0.351327i	−0.794869	−	0.606781i	$-0.792460\pi$
$601$	−26.5078	+	8.61290i	−1.08127	+	0.351327i	−0.286405	+	0.958109i	$0.592460\pi$
$602$	2.31250	−	7.11714i	0.0942504	−	0.290073i
$603$	20.7535	−	10.6660i	0.845149	−	0.434353i
$604$		−	14.7587i		−	0.600521i
$605$	−26.4060	−	23.5110i	−1.07356	−	0.955859i
$606$	18.0218	−	11.0872i	0.732087	−	0.450386i
$607$	−12.6214	+	17.3719i	−0.512289	+	0.705105i	−0.984303	−	0.176486i	$-0.943527\pi$
$607$	−12.6214	+	17.3719i	−0.512289	+	0.705105i	0.472014	+	0.881591i	$0.343527\pi$
$608$	−2.14901	−	0.698257i	−0.0871540	−	0.0283180i
$609$	−1.53390	+	1.80233i	−0.0621567	+	0.0730342i
$610$	−10.0607	+	7.30950i	−0.407345	+	0.295953i
$611$	6.72751	−	4.88782i	0.272166	−	0.197740i
$612$	−5.77686	−	0.894275i	−0.233516	−	0.0361489i
$613$	−16.6509	−	5.41021i	−0.672525	−	0.218516i	−0.0472050	−	0.998885i	$-0.515031\pi$
$613$	−16.6509	−	5.41021i	−0.672525	−	0.218516i	−0.625320	+	0.780369i	$0.715031\pi$
$614$	−17.9367	+	24.6878i	−0.723867	+	0.996317i
$615$	11.6772	+	18.9810i	0.470872	+	0.765387i
$616$	−3.29748	+	0.355870i	−0.132859	+	0.0143384i
$617$			20.8429i			0.839103i	0.907732	+	0.419551i	$0.137813\pi$
$617$			20.8429i			0.839103i	−0.907732	+	0.419551i	$0.862187\pi$
$618$	31.6699	+	2.43678i	1.27395	+	0.0980217i
$619$	1.83125	−	5.63600i	0.0736040	−	0.226530i	−0.907486	−	0.420083i	$-0.862001\pi$
$619$	1.83125	−	5.63600i	0.0736040	−	0.226530i	0.981090	+	0.193553i	$0.0620011\pi$
$620$	−4.05472	+	1.31746i	−0.162841	+	0.0529104i
$621$	−26.3773	+	22.7686i	−1.05848	+	0.913672i
$622$	12.1133	+	16.6725i	0.485699	+	0.668507i
$623$	−1.03445	−	3.18372i	−0.0414445	−	0.127553i
$624$	−3.43069	+	0.829981i	−0.137338	+	0.0332258i
$625$	18.7980	+	13.6576i	0.751921	+	0.546302i
$626$	−21.1363			−0.844775
$627$	12.9743	−	0.398616i	0.518145	−	0.0159192i
$628$	−7.15798			−0.285634
$629$	16.7858	+	12.1956i	0.669295	+	0.486271i
$630$	6.84210	+	6.79443i	0.272596	+	0.270697i
$631$	6.93289	+	21.3372i	0.275994	+	0.849422i	0.988955	+	0.148218i	$0.0473538\pi$
$631$	6.93289	+	21.3372i	0.275994	+	0.849422i	−0.712961	+	0.701204i	$0.752646\pi$
$632$	10.0938	+	13.8929i	0.401508	+	0.552629i
$633$	−31.2982	−	12.9001i	−1.24399	−	0.512732i
$634$	3.27561	−	1.06431i	0.130091	−	0.0422691i
$635$	−18.7798	+	57.7982i	−0.745252	+	2.29365i
$636$	0.871593	−	11.3277i	0.0345609	−	0.449174i
$637$		−	2.03785i		−	0.0807426i
$638$	−4.43545	−	0.929877i	−0.175601	−	0.0368142i
$639$	14.5527	+	7.35103i	0.575698	+	0.290802i
$640$	1.88925	−	2.60033i	0.0746791	−	0.102787i
$641$	−25.8592	−	8.40215i	−1.02138	−	0.331865i	−0.250000	−	0.968246i	$-0.580431\pi$
$641$	−25.8592	−	8.40215i	−1.02138	−	0.331865i	−0.771375	+	0.636381i	$0.780431\pi$
$642$	17.7122	+	15.0742i	0.699046	+	0.594931i
$643$	−19.1453	+	13.9099i	−0.755018	+	0.548553i	−0.897378	−	0.441262i	$-0.854531\pi$
$643$	−19.1453	+	13.9099i	−0.755018	+	0.548553i	0.142360	+	0.989815i	$0.454531\pi$
$644$	−5.42519	+	3.94163i	−0.213783	+	0.155322i
$645$	−31.7266	−	27.0013i	−1.24923	−	1.06317i
$646$	4.18748	+	1.36059i	0.164754	+	0.0535318i
$647$	1.08080	−	1.48759i	0.0424905	−	0.0584831i	−0.787243	−	0.616643i	$-0.788492\pi$
$647$	1.08080	−	1.48759i	0.0424905	−	0.0584831i	0.829734	+	0.558160i	$0.188492\pi$
$648$	5.34084	+	7.24399i	0.209808	+	0.284571i
$649$	16.8185	+	37.4935i	0.660183	+	1.47175i
$650$			10.8637i			0.426110i
$651$	0.176252	−	2.29067i	0.00690784	−	0.0897784i
$652$	1.43608	−	4.41981i	0.0562413	−	0.173093i
$653$	−30.4101	+	9.88083i	−1.19004	+	0.386667i	−0.836087	−	0.548597i	$-0.815162\pi$
$653$	−30.4101	+	9.88083i	−1.19004	+	0.386667i	−0.353951	+	0.935264i	$0.615162\pi$
$654$	−21.5600	−	8.88635i	−0.843065	−	0.347484i
$655$	13.1353	+	18.0791i	0.513237	+	0.706410i
$656$	1.23700	+	3.80710i	0.0482968	+	0.148642i
$657$	−9.38823	+	9.45409i	−0.366270	+	0.368839i
$658$	−3.30127	−	2.39851i	−0.128697	−	0.0935038i
$659$	47.0038			1.83101			0.915504	−	0.402309i	$-0.131792\pi$
$659$	47.0038			1.83101			0.915504	+	0.402309i	$0.131792\pi$
$660$	−5.16376	+	17.7273i	−0.200999	+	0.690035i
$661$	−1.34698			−0.0523915			−0.0261958	−	0.999657i	$-0.508339\pi$
$661$	−1.34698			−0.0523915			−0.0261958	+	0.999657i	$0.508339\pi$
$662$	1.31442	+	0.954981i	0.0510863	+	0.0371164i
$663$	6.68490	−	1.61727i	0.259620	−	0.0628094i
$664$	5.22173	+	16.0708i	0.202642	+	0.623669i
$665$	−4.26896	−	5.87572i	−0.165543	−	0.227851i
$666$	−5.10745	−	31.5333i	−0.197910	−	1.22189i
$667$	−8.71457	+	2.83153i	−0.337429	+	0.109637i
$668$	5.50394	−	16.9394i	0.212954	−	0.655405i
$669$	10.2181	+	0.786212i	0.395054	+	0.0303967i
$670$		−	24.9998i		−	0.965827i
$671$	9.51209	−	8.61283i	0.367210	−	0.332495i
$672$	0.907574	+	1.47523i	0.0350104	+	0.0569083i
$673$	0.792602	−	1.09092i	0.0305525	−	0.0420520i	−0.793467	−	0.608613i	$-0.791726\pi$
$673$	0.792602	−	1.09092i	0.0305525	−	0.0420520i	0.824020	+	0.566561i	$0.191726\pi$
$674$	19.0344	+	6.18466i	0.733179	+	0.238224i
$675$	25.5360	−	10.7346i	0.982881	−	0.413174i
$676$	−7.15750	+	5.20023i	−0.275289	+	0.200009i
$677$	−12.7037	+	9.22977i	−0.488243	+	0.354729i	−0.804508	−	0.593942i	$-0.797571\pi$
$677$	−12.7037	+	9.22977i	−0.488243	+	0.354729i	0.316265	+	0.948671i	$0.397571\pi$
$678$	−1.49948	+	1.76189i	−0.0575871	+	0.0676650i
$679$	10.1858	+	3.30956i	0.390895	+	0.127009i
$680$	−3.68131	+	5.06689i	−0.141172	+	0.194306i
$681$	−17.6227	+	10.8416i	−0.675302	+	0.415451i
$682$	4.01393	−	1.80053i	0.153701	−	0.0689459i
$683$			20.4706i			0.783286i	0.920117	+	0.391643i	$0.128093\pi$
$683$			20.4706i			0.783286i	−0.920117	+	0.391643i	$0.871907\pi$
$684$	−3.09861	−	6.02918i	−0.118478	−	0.230531i
$685$	−11.2616	+	34.6597i	−0.430284	+	1.32428i
$686$	−0.951057	+	0.309017i	−0.0363115	+	0.0117983i
$687$	3.13400	−	7.60370i	0.119569	−	0.290099i
$688$	−4.39863	−	6.05420i	−0.167696	−	0.230814i
$689$	4.13066	+	12.7129i	0.157366	+	0.484321i
$690$	8.77857	+	36.2858i	0.334194	+	1.38138i
$691$	−20.9079	−	15.1905i	−0.795374	−	0.577873i	0.114179	−	0.993460i	$-0.463576\pi$
$691$	−20.9079	−	15.1905i	−0.795374	−	0.577873i	−0.909553	+	0.415587i	$0.863576\pi$
$692$	14.7635			0.561225
$693$	−7.77169	−	6.21296i	−0.295222	−	0.236011i
$694$	7.96009			0.302161
$695$	−6.64264	−	4.82616i	−0.251970	−	0.183067i
$696$	0.556516	+	2.30033i	0.0210947	+	0.0871940i
$697$	−2.41037	−	7.41835i	−0.0912992	−	0.280990i
$698$	9.09965	+	12.5246i	0.344427	+	0.474063i
$699$	0.920841	−	2.23414i	0.0348294	−	0.0845031i
$700$	5.07005	−	1.64736i	0.191630	−	0.0622643i
$701$	5.75248	−	17.7043i	0.217268	−	0.668683i	−0.781717	−	0.623634i	$-0.785656\pi$
$701$	5.75248	−	17.7043i	0.217268	−	0.668683i	0.998985	−	0.0450488i	$-0.0143443\pi$
$702$	−9.05749	−	5.48531i	−0.341853	−	0.207030i
$703$			24.0605i			0.907459i
$704$	−1.65030	+	2.87689i	−0.0621982	+	0.108427i
$705$	−19.3488	+	11.9035i	−0.728719	+	0.448313i
$706$	6.56969	−	9.04240i	0.247254	−	0.340315i
$707$	11.6184	+	3.77504i	0.436954	+	0.141975i
$708$	13.9086	−	16.3427i	0.522718	−	0.614195i
$709$	−23.2160	+	16.8674i	−0.871897	+	0.633470i	−0.931095	−	0.364776i	$-0.881146\pi$
$709$	−23.2160	+	16.8674i	−0.871897	+	0.633470i	0.0591984	+	0.998246i	$0.481146\pi$
$710$	14.1319	−	10.2674i	0.530361	−	0.385330i
$711$	−7.88121	+	50.9112i	−0.295568	+	1.90932i
$712$	−3.18372	−	1.03445i	−0.119315	−	0.0387678i
$713$	5.22829	−	7.19613i	0.195801	−	0.269497i
$714$	−1.76846	−	2.87457i	−0.0661830	−	0.107578i
$715$	−2.33096	−	21.5986i	−0.0871729	−	0.807741i
$716$		−	20.7198i		−	0.774336i
$717$	20.5184	+	1.57875i	0.766275	+	0.0589597i
$718$	−3.64008	+	11.2030i	−0.135847	+	0.418093i
$719$	2.62211	−	0.851977i	0.0977884	−	0.0317734i	−0.259714	−	0.965686i	$-0.583628\pi$
$719$	2.62211	−	0.851977i	0.0977884	−	0.0317734i	0.357503	+	0.933912i	$0.383628\pi$
$720$	9.51850	−	1.54171i	0.354734	−	0.0574562i
$721$	10.7792	+	14.8363i	0.401438	+	0.552532i
$722$	−4.29354	−	13.2142i	−0.159789	−	0.491780i
$723$	−33.8140	+	8.18056i	−1.25756	+	0.304238i
$724$	9.47034	+	6.88060i	0.351962	+	0.255716i
$725$	7.28430			0.270532
$726$	3.33483	−	18.7584i	0.123767	−	0.696191i
$727$	20.0519			0.743682			0.371841	−	0.928296i	$-0.378727\pi$
$727$	20.0519			0.743682			0.371841	+	0.928296i	$0.378727\pi$
$728$	−1.64866	−	1.19782i	−0.0611033	−	0.0443941i
$729$	−3.94383	+	26.7104i	−0.146068	+	0.989275i
$730$	4.41117	+	13.5762i	0.163265	+	0.502477i
$731$	8.57099	+	11.7970i	0.317010	+	0.436326i
$732$	−6.19567	−	2.55365i	−0.228999	−	0.0943857i
$733$	39.8520	−	12.9487i	1.47197	−	0.478271i	0.540265	−	0.841495i	$-0.318324\pi$
$733$	39.8520	−	12.9487i	1.47197	−	0.478271i	0.931702	+	0.363224i	$0.118324\pi$
$734$	−0.379295	+	1.16735i	−0.0140000	+	0.0430876i
$735$	−0.427090	+	5.55072i	−0.0157535	+	0.204741i
$736$			6.70591i			0.247183i
$737$	2.76795	+	25.6477i	0.101959	+	0.944745i
$738$	−5.41456	+	10.7191i	−0.199313	+	0.394577i
$739$	−1.05936	+	1.45809i	−0.0389692	+	0.0536366i	−0.828057	−	0.560644i	$-0.810554\pi$
$739$	−1.05936	+	1.45809i	−0.0389692	+	0.0536366i	0.789088	+	0.614280i	$0.210554\pi$
$740$	−32.5498	−	10.5761i	−1.19656	−	0.388785i
$741$	6.07377	+	5.16916i	0.223126	+	0.189894i
$742$	5.30667	−	3.85552i	0.194814	−	0.141541i
$743$	−15.2689	+	11.0935i	−0.560161	+	0.406981i	−0.831518	−	0.555498i	$-0.812528\pi$
$743$	−15.2689	+	11.0935i	−0.560161	+	0.406981i	0.271357	+	0.962479i	$0.412528\pi$
$744$	−1.74959	−	1.48901i	−0.0641432	−	0.0545898i
$745$	9.94085	+	3.22998i	0.364204	+	0.118337i
$746$	16.5566	−	22.7882i	0.606179	−	0.834334i
$747$	−22.8564	+	45.2485i	−0.836271	+	1.65556i
$748$	3.21571	−	5.60579i	0.117578	−	0.204968i
$749$			13.4283i			0.490658i
$750$	0.141353	−	1.83711i	0.00516148	−	0.0670817i
$751$	−10.4328	+	32.1088i	−0.380697	+	1.17167i	0.558857	+	0.829264i	$0.311240\pi$
$751$	−10.4328	+	32.1088i	−0.380697	+	1.17167i	−0.939554	+	0.342401i	$0.888760\pi$
$752$	−3.88088	+	1.26097i	−0.141521	+	0.0459830i
$753$	1.65705	+	0.682983i	0.0603863	+	0.0248893i
$754$	−1.63672	−	2.25275i	−0.0596057	−	0.0820402i
$755$	−14.6588	−	45.1153i	−0.533490	−	1.64191i
$756$	−1.18651	+	5.05887i	−0.0431528	+	0.183989i
$757$	−37.6016	−	27.3191i	−1.36665	−	0.992931i	−0.997990	−	0.0633674i	$-0.979816\pi$
$757$	−37.6016	−	27.3191i	−1.36665	−	0.992931i	−0.368662	−	0.929564i	$-0.620184\pi$
$758$	−19.4937			−0.708042
$759$	−13.0236	−	36.2542i	−0.472726	−	1.31595i
$760$	−7.26278			−0.263449
$761$	11.4756	+	8.33752i	0.415991	+	0.302235i	0.776023	−	0.630705i	$-0.217234\pi$
$761$	11.4756	+	8.33752i	0.415991	+	0.302235i	−0.360032	+	0.932940i	$0.617234\pi$
$762$	−31.8307	+	7.70075i	−1.15311	+	0.278969i
$763$	−4.16047	−	12.8046i	−0.150619	−	0.463558i
$764$	−8.72640	−	12.0109i	−0.315710	−	0.434538i
$765$	−18.5473	+	3.00411i	−0.670581	+	0.108614i
$766$	31.2660	−	10.1590i	1.12969	−	0.367058i
$767$	−7.80234	+	24.0131i	−0.281726	+	0.867064i
$768$	1.72695	+	0.132877i	0.0623158	+	0.00479478i
$769$			7.64293i			0.275611i	0.990459	+	0.137806i	$0.0440049\pi$
$769$			7.64293i			0.275611i	−0.990459	+	0.137806i	$0.955995\pi$
$770$	−9.72649	+	4.36302i	−0.350518	+	0.157232i
$771$	19.6364	+	31.9183i	0.707186	+	1.14951i
$772$	10.3168	−	14.1999i	0.371310	−	0.511065i
$773$	19.1297	+	6.21561i	0.688047	+	0.223560i	0.632115	−	0.774875i	$-0.282187\pi$
$773$	19.1297	+	6.21561i	0.688047	+	0.223560i	0.0559319	+	0.998435i	$0.482187\pi$
$774$	3.43445	−	22.1860i	0.123449	−	0.797458i
$775$	−5.72068	+	4.15631i	−0.205493	+	0.149299i
$776$	8.66455	−	6.29517i	0.311039	−	0.225983i
$777$	11.9533	−	14.0451i	0.428821	−	0.503866i
$778$	−31.6670	−	10.2892i	−1.13532	−	0.368887i
$779$	5.31666	−	7.31776i	0.190489	−	0.262186i
$780$	−9.66281	+	5.94464i	−0.345984	+	0.212852i
$781$	−13.3613	+	12.0982i	−0.478106	+	0.432907i
$782$		−	13.0668i		−	0.467270i
$783$	−3.67799	+	6.07319i	−0.131441	+	0.217038i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	−21.8810	+	7.10957i	−0.780966	+	0.253751i
$786$	−4.58894	+	11.1337i	−0.163682	+	0.397126i
$787$	3.03096	+	4.17177i	0.108042	+	0.148707i	0.859614	−	0.510944i	$-0.170704\pi$
$787$	3.03096	+	4.17177i	0.108042	+	0.148707i	−0.751572	+	0.659651i	$0.770704\pi$
$788$	−3.10155	−	9.54560i	−0.110488	−	0.340048i
$789$	−4.98295	−	20.5968i	−0.177398	−	0.733266i
$790$	44.6542	+	32.4432i	1.58873	+	1.15428i
$791$	−1.33575			−0.0474938
$792$	−9.59447	+	2.63554i	−0.340925	+	0.0936498i
$793$	7.88445			0.279985
$794$	25.3853	+	18.4435i	0.900891	+	0.654536i
$795$	−8.58678	−	35.4931i	−0.304542	−	1.25881i
$796$	5.10766	+	15.7198i	0.181036	+	0.557172i
$797$	−23.6461	−	32.5461i	−0.837588	−	1.15284i	−0.986463	−	0.163985i	$-0.947565\pi$
$797$	−23.6461	−	32.5461i	−0.837588	−	1.15284i	0.148875	−	0.988856i	$-0.452435\pi$
$798$	1.49141	−	3.61845i	0.0527952	−	0.128092i
$799$	7.56212	−	2.45708i	0.267528	−	0.0869252i
$800$	1.64736	−	5.07005i	0.0582430	−	0.179253i
$801$	−4.59054	−	8.93211i	−0.162199	−	0.315600i
$802$			26.7190i			0.943480i
$803$	−6.02862	−	13.4396i	−0.212745	−	0.474273i
$804$	11.4743	−	7.05909i	0.404668	−	0.248955i
$805$	−12.6691	+	17.4376i	−0.446528	+	0.614593i
$806$	2.57077	+	0.835293i	0.0905514	+	0.0294219i
$807$	−3.03197	+	3.56257i	−0.106730	+	0.125408i
$808$	9.88318	−	7.18055i	0.347689	−	0.252611i
$809$	−30.4640	+	22.1334i	−1.07106	+	0.778169i	−0.976102	−	0.217313i	$-0.930271\pi$
$809$	−30.4640	+	22.1334i	−1.07106	+	0.778169i	−0.0949556	+	0.995482i	$0.530271\pi$
$810$	23.5213	+	16.8392i	0.826453	+	0.591669i
$811$	13.8792	+	4.50962i	0.487364	+	0.158354i	0.542384	−	0.840131i	$-0.317522\pi$
$811$	13.8792	+	4.50962i	0.487364	+	0.158354i	−0.0550191	+	0.998485i	$0.517522\pi$
$812$	−0.803157	+	1.10545i	−0.0281853	+	0.0387937i
$813$	−27.7511	−	45.1085i	−0.973274	−	1.58203i
$814$	34.5643	+	7.24629i	1.21148	+	0.253982i
$815$		−	14.9371i		−	0.523225i
$816$	−3.36505	−	0.258918i	−0.117800	−	0.00906395i
$817$	−5.22534	+	16.0819i	−0.182811	+	0.562636i
$818$	2.44327	−	0.793867i	0.0854270	−	0.0277569i
$819$	−0.977474	−	6.03491i	−0.0341557	−	0.210877i
$820$	7.56270	+	10.4092i	0.264101	+	0.363504i
$821$	−3.13586	−	9.65120i	−0.109442	−	0.336829i	0.881305	−	0.472548i	$-0.156666\pi$
$821$	−3.13586	−	9.65120i	−0.109442	−	0.336829i	−0.990747	+	0.135719i	$0.956666\pi$
$822$	−19.0879	+	4.61789i	−0.665766	+	0.161067i
$823$	28.0590	+	20.3860i	0.978074	+	0.710613i	0.957277	−	0.289171i	$-0.0933797\pi$
$823$	28.0590	+	20.3860i	0.978074	+	0.710613i	0.0207969	+	0.999784i	$0.493380\pi$
$824$	18.3386			0.638857
$825$	0.940435	+	30.6096i	0.0327417	+	1.06569i
$826$	12.3900			0.431102
$827$	36.0306	+	26.1778i	1.25291	+	0.910291i	0.998387	−	0.0567761i	$-0.0180821\pi$
$827$	36.0306	+	26.1778i	1.25291	+	0.910291i	0.254521	+	0.967067i	$0.418082\pi$
$828$	−14.1756	+	14.2750i	−0.492635	+	0.496091i
$829$	3.93867	+	12.1220i	0.136796	+	0.421014i	0.995865	−	0.0908453i	$-0.0289569\pi$
$829$	3.93867	+	12.1220i	0.136796	+	0.421014i	−0.859069	+	0.511859i	$0.828957\pi$
$830$	31.9243	+	43.9400i	1.10811	+	1.52518i
$831$	13.5133	+	5.56972i	0.468770	+	0.193212i
$832$	−1.93811	+	0.629731i	−0.0671920	+	0.0218320i
$833$	0.602137	−	1.85319i	0.0208628	−	0.0642092i
$834$	0.339439	−	4.41155i	0.0117538	−	0.152760i
$835$		−	57.2482i		−	1.98116i
$836$	7.45100	−	0.804125i	0.257698	−	0.0278113i
$837$	−0.576788	−	6.86815i	−0.0199367	−	0.237398i
$838$	−15.2040	+	20.9264i	−0.525212	+	0.722892i
$839$	−16.8266	−	5.46728i	−0.580917	−	0.188751i	0.00379417	−	0.999993i	$-0.498792\pi$
$839$	−16.8266	−	5.46728i	−0.580917	−	0.188751i	−0.584711	+	0.811241i	$0.698792\pi$
$840$	4.23959	+	3.60815i	0.146280	+	0.124493i
$841$	21.9510	−	15.9483i	0.756931	−	0.549942i
$842$	31.9214	−	23.1923i	1.10009	−	0.799259i
$843$	−8.35334	−	7.10921i	−0.287704	−	0.244854i
$844$	−18.5881	−	6.03965i	−0.639830	−	0.207893i
$845$	−16.7145	+	23.0055i	−0.574996	+	0.791414i
$846$	−10.9269	−	5.51949i	−0.375674	−	0.189764i
$847$	9.49549	−	5.55299i	0.326269	−	0.190803i
$848$		−	6.55940i		−	0.225251i
$849$	1.13509	−	14.7523i	0.0389561	−	0.506296i
$850$	−3.20997	+	9.87929i	−0.110101	+	0.338857i
$851$	67.9104	−	22.0654i	2.32794	−	0.756393i
$852$	8.70287	+	3.58704i	0.298155	+	0.122890i
$853$	−6.52936	−	8.98690i	−0.223561	−	0.307706i	0.682472	−	0.730911i	$-0.260905\pi$
$853$	−6.52936	−	8.98690i	−0.223561	−	0.307706i	−0.906034	+	0.423206i	$0.860905\pi$
$854$	−1.19559	−	3.67964i	−0.0409121	−	0.125915i
$855$	−15.4605	−	15.3527i	−0.528736	−	0.525053i
$856$	10.8637	+	7.89293i	0.371313	+	0.269775i
$857$	−5.91940			−0.202203			−0.101101	−	0.994876i	$-0.532237\pi$
$857$	−5.91940			−0.202203			−0.101101	+	0.994876i	$0.532237\pi$
$858$	9.25504	−	7.16854i	0.315962	−	0.244730i
$859$	41.9009			1.42964			0.714820	−	0.699309i	$-0.246509\pi$
$859$	41.9009			1.42964			0.714820	+	0.699309i	$0.246509\pi$
$860$	−19.4593	−	14.1380i	−0.663557	−	0.482102i
$861$	−6.73902	+	1.63036i	−0.229665	+	0.0555625i
$862$	−8.59207	−	26.4437i	−0.292647	−	0.900675i
$863$	14.2695	+	19.6403i	0.485741	+	0.668565i	0.979595	−	0.200980i	$-0.0644126\pi$
$863$	14.2695	+	19.6403i	0.485741	+	0.668565i	−0.493855	+	0.869544i	$0.664413\pi$
$864$	3.39530	+	3.93344i	0.115511	+	0.133818i
$865$	45.1301	−	14.6637i	1.53447	−	0.498580i
$866$	0.505343	−	1.55529i	0.0171723	−	0.0528508i
$867$	−22.8011	−	1.75439i	−0.774365	−	0.0595822i
$868$		−	1.32643i		−	0.0450219i
$869$	−49.4035	−	28.3399i	−1.67590	−	0.961366i
$870$	3.98597	+	6.47907i	0.135137	+	0.219661i
$871$	−9.31661	+	12.8232i	−0.315681	+	0.434498i
$872$	−12.8046	−	4.16047i	−0.433619	−	0.140891i
$873$	31.7517	+	4.91526i	1.07463	+	0.166356i
$874$	12.2588	−	8.90654i	0.414660	−	0.301268i
$875$	0.860624	−	0.625280i	0.0290944	−	0.0211383i
$876$	−4.98558	+	5.85806i	−0.168447	+	0.197926i
$877$	−13.8900	−	4.51315i	−0.469033	−	0.152398i	0.0649582	−	0.997888i	$-0.479309\pi$
$877$	−13.8900	−	4.51315i	−0.469033	−	0.152398i	−0.533992	+	0.845490i	$0.679309\pi$
$878$	10.8529	−	14.9378i	0.366268	−	0.504125i
$879$	−8.88838	+	5.46820i	−0.299797	+	0.184438i
$880$	−2.18733	+	10.4334i	−0.0737348	+	0.351710i
$881$			1.55153i			0.0522723i	0.999658	+	0.0261361i	$0.00832034\pi$
$881$			1.55153i			0.0522723i	−0.999658	+	0.0261361i	$0.991680\pi$
$882$	−2.66824	+	1.37131i	−0.0898444	+	0.0461743i
$883$	−1.98020	+	6.09443i	−0.0666390	+	0.205094i	−0.978831	−	0.204668i	$-0.934388\pi$
$883$	−1.98020	+	6.09443i	−0.0666390	+	0.205094i	0.912192	+	0.409762i	$0.134388\pi$
$884$	3.77652	−	1.22707i	0.127018	−	0.0412707i
$885$	26.2847	−	63.7720i	0.883551	−	2.14367i
$886$	−11.9308	−	16.4214i	−0.400824	−	0.551687i
$887$	−10.3067	−	31.7207i	−0.346065	−	1.06508i	−0.961011	−	0.276509i	$-0.910823\pi$
$887$	−10.3067	−	31.7207i	−0.346065	−	1.06508i	0.614947	−	0.788569i	$-0.289177\pi$
$888$	−4.33678	−	17.9259i	−0.145533	−	0.601554i
$889$	−15.2966	−	11.1136i	−0.513031	−	0.372739i
$890$	−10.7597			−0.360665
$891$	−25.9952	−	14.6713i	−0.870873	−	0.491509i
$892$	5.91685			0.198111
$893$	7.45957	+	5.41970i	0.249625	+	0.181363i
$894$	1.32447	+	5.47464i	0.0442969	+	0.183099i
$895$	−20.5797	−	63.3378i	−0.687903	−	2.11715i
$896$	0.587785	+	0.809017i	0.0196365	+	0.0270274i
$897$	9.01973	−	21.8837i	0.301160	−	0.730674i
$898$	−31.8043	+	10.3338i	−1.06132	+	0.344844i
$899$	0.560077	−	1.72374i	0.0186796	−	0.0574900i
$900$	14.2243	−	7.31040i	0.474144	−	0.243680i
$901$			12.7814i			0.425809i
$902$	−8.91118	−	9.84159i	−0.296710	−	0.327689i
$903$	11.0398	−	6.79174i	0.367380	−	0.226015i
$904$	−0.785135	+	1.08065i	−0.0261132	+	0.0359417i
$905$	35.7837	+	11.6268i	1.18949	+	0.386488i
$906$	16.5677	−	19.4671i	0.550424	−	0.646750i
$907$	−6.28574	+	4.56686i	−0.208715	+	0.151640i	−0.687232	−	0.726438i	$-0.741174\pi$
$907$	−6.28574	+	4.56686i	−0.208715	+	0.151640i	0.478517	+	0.878078i	$0.341174\pi$
$908$	−9.66427	+	7.02150i	−0.320720	+	0.233017i
$909$	36.2174	+	5.60657i	1.20126	+	0.185958i
$910$	−6.22945	−	2.02407i	−0.206504	−	0.0670973i
$911$	4.37089	−	6.01602i	0.144814	−	0.199320i	−0.730448	−	0.682968i	$-0.760689\pi$
$911$	4.37089	−	6.01602i	0.144814	−	0.199320i	0.875262	+	0.483649i	$0.160689\pi$
$912$	−2.05076	−	3.33344i	−0.0679074	−	0.110381i
$913$	−37.6166	−	41.5441i	−1.24493	−	1.37491i
$914$		−	19.2963i		−	0.638264i
$915$	−21.4757	−	1.65241i	−0.709966	−	0.0546271i
$916$	1.46730	−	4.51587i	0.0484808	−	0.149209i
$917$	−6.61235	+	2.14848i	−0.218359	+	0.0709492i
$918$	−6.61594	−	7.66453i	−0.218359	−	0.252967i
$919$	13.0306	+	17.9351i	0.429839	+	0.591623i	0.967916	−	0.251273i	$-0.0808491\pi$
$919$	13.0306	+	17.9351i	0.429839	+	0.591623i	−0.538077	+	0.842896i	$0.680849\pi$
$920$	6.66056	+	20.4991i	0.219592	+	0.675835i
$921$	−51.3728	+	12.4285i	−1.69279	+	0.409534i
$922$	17.7774	+	12.9161i	0.585469	+	0.425368i
$923$	−11.0750			−0.364539
$924$	−4.74895	−	3.23226i	−0.156229	−	0.106333i
$925$	−56.7647			−1.86641
$926$	−13.7611	−	9.99799i	−0.452216	−	0.328554i
$927$	39.0379	+	38.7659i	1.28217	+	1.27324i
$928$	0.422245	+	1.29954i	0.0138609	+	0.0426593i
$929$	19.7984	+	27.2502i	0.649565	+	0.894049i	0.999080	−	0.0428816i	$-0.0136538\pi$
$929$	19.7984	+	27.2502i	0.649565	+	0.894049i	−0.349516	+	0.936931i	$0.613654\pi$
$930$	−6.82722	−	2.81396i	−0.223873	−	0.0922732i
$931$	2.14901	−	0.698257i	0.0704310	−	0.0228844i
$932$	0.431126	−	1.32687i	0.0141220	−	0.0434630i
$933$	−2.73837	+	35.5895i	−0.0896503	+	1.16515i
$934$			31.1913i			1.02061i
$935$	4.26214	−	20.3301i	0.139387	−	0.664866i
$936$	−5.45689	−	2.75644i	−0.178364	−	0.0900970i
$937$	11.8567	−	16.3194i	0.387343	−	0.533132i	−0.570168	−	0.821528i	$-0.693122\pi$
$937$	11.8567	−	16.3194i	0.387343	−	0.533132i	0.957511	+	0.288396i	$0.0931220\pi$
$938$	7.39729	+	2.40353i	0.241530	+	0.0784779i
$939$	−27.8793	−	23.7270i	−0.909806	−	0.774301i
$940$	−10.6109	+	7.70926i	−0.346089	+	0.251448i
$941$	5.67791	−	4.12524i	0.185095	−	0.134479i	−0.491379	−	0.870946i	$-0.663507\pi$
$941$	5.67791	−	4.12524i	0.185095	−	0.134479i	0.676474	+	0.736467i	$0.263507\pi$
$942$	−9.44156	−	8.03535i	−0.307623	−	0.261806i
$943$	−25.5301	−	8.29522i	−0.831373	−	0.270129i
$944$	7.28263	−	10.0237i	0.237029	−	0.326243i
$945$	1.39766	+	16.6428i	0.0454660	+	0.541390i
$946$	21.5289	+	12.3499i	0.699966	+	0.401530i
$947$			30.9339i			1.00522i	0.864514	+	0.502609i	$0.167626\pi$
$947$			30.9339i			1.00522i	−0.864514	+	0.502609i	$0.832374\pi$
$948$	−2.28183	+	29.6561i	−0.0741105	+	0.963184i
$949$	2.79676	−	8.60755i	0.0907868	−	0.279413i
$950$	−11.4563	+	3.72238i	−0.371692	+	0.120770i
$951$	5.51538	+	2.27326i	0.178848	+	0.0737155i
$952$	−1.14533	−	1.57642i	−0.0371205	−	0.0510919i
$953$	−11.2534	−	34.6344i	−0.364534	−	1.12192i	−0.950273	−	0.311419i	$-0.899196\pi$
$953$	−11.2534	−	34.6344i	−0.364534	−	1.12192i	0.585739	−	0.810500i	$-0.300804\pi$
$954$	13.8659	−	13.9632i	0.448924	−	0.452074i
$955$	−38.6051	−	28.0482i	−1.24923	−	0.907619i
$956$	11.8813			0.384270
$957$	−4.80662	−	6.20565i	−0.155376	−	0.200600i
$958$	−12.5102			−0.404186
$959$	−9.17288	−	6.66449i	−0.296208	−	0.215208i
$960$	5.41103	−	1.30908i	0.174640	−	0.0422504i
$961$	−9.03584	−	27.8095i	−0.291479	−	0.897079i
$962$	12.7545	+	17.5551i	0.411222	+	0.565998i
$963$	6.44098	+	39.7665i	0.207558	+	1.28146i
$964$	−19.1027	+	6.20683i	−0.615255	+	0.199908i
$965$	17.4333	−	53.6542i	0.561198	−	1.72719i
$966$	−11.5807	−	0.891060i	−0.372604	−	0.0286694i
$967$		−	35.2474i		−	1.13348i	−0.823897	−	0.566740i	$-0.808204\pi$
$967$		−	35.2474i		−	1.13348i	0.823897	−	0.566740i	$-0.191796\pi$
$968$	1.08884	−	10.9460i	0.0349966	−	0.351817i
$969$	3.99602	+	6.49540i	0.128371	+	0.208662i
$970$	20.2338	−	27.8494i	0.649668	−	0.894192i
$971$	−9.67522	−	3.14367i	−0.310493	−	0.100885i	0.149626	−	0.988743i	$-0.452193\pi$
$971$	−9.67522	−	3.14367i	−0.310493	−	0.100885i	−0.460119	+	0.887858i	$0.652193\pi$
$972$	−1.08720	+	15.5505i	−0.0348718	+	0.498782i
$973$	2.06666	−	1.50152i	0.0662542	−	0.0481365i
$974$	21.6899	−	15.7587i	0.694990	−	0.504940i
$975$	−12.1953	+	14.3295i	−0.390563	+	0.458912i
$976$	−3.67964	−	1.19559i	−0.117782	−	0.0382698i
$977$	−4.75836	+	6.54933i	−0.152234	+	0.209532i	−0.878322	−	0.478070i	$-0.841336\pi$
$977$	−4.75836	+	6.54933i	−0.152234	+	0.209532i	0.726088	+	0.687602i	$0.241336\pi$
$978$	6.85579	−	4.21773i	0.219224	−	0.134868i
$979$	11.0385	−	1.19130i	0.352792	−	0.0380740i
$980$			3.21418i			0.102673i
$981$	−18.4627	−	35.9241i	−0.589468	−	1.14697i
$982$	2.00218	−	6.16208i	0.0638922	−	0.196640i
$983$	1.15065	−	0.373868i	0.0367000	−	0.0119245i	−0.290609	−	0.956842i	$-0.593858\pi$
$983$	1.15065	−	0.373868i	0.0367000	−	0.0119245i	0.327309	+	0.944917i	$0.393858\pi$
$984$	−2.64211	+	6.41029i	−0.0842274	+	0.204352i
$985$	−18.9621	−	26.0991i	−0.604182	−	0.831585i
$986$	−0.822768	−	2.53222i	−0.0262023	−	0.0806423i
$987$	−1.66196	−	6.86962i	−0.0529006	−	0.218663i
$988$	3.72531	+	2.70660i	0.118518	+	0.0861084i
$989$	50.1830			1.59573
$990$	−26.7113	+	17.5861i	−0.848942	+	0.558922i
$991$	9.43170			0.299608			0.149804	−	0.988716i	$-0.452136\pi$
$991$	9.43170			0.299608			0.149804	+	0.988716i	$0.452136\pi$
$992$	−1.07310	−	0.779655i	−0.0340710	−	0.0247541i
$993$	0.661716	+	2.73518i	0.0209989	+	0.0867982i
$994$	1.67940	+	5.16867i	0.0532674	+	0.163940i
$995$	31.2269	+	42.9801i	0.989959	+	1.36256i
$996$	−11.1531	+	27.0596i	−0.353399	+	0.857417i
$997$	53.9634	−	17.5338i	1.70904	−	0.555300i	0.718865	−	0.695150i	$-0.244662\pi$
$997$	53.9634	−	17.5338i	1.70904	−	0.555300i	0.990173	+	0.139850i	$0.0446619\pi$
$998$	−11.4672	+	35.2924i	−0.362987	+	1.11716i
$999$	28.6616	−	47.3268i	0.906814	−	1.49735i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.29.6	yes	48
3.2	odd	2		462.2.w.a.29.4	✓	48
11.8	odd	10		462.2.w.a.239.4	yes	48
33.8	even	10	inner	462.2.w.b.239.6	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.4	✓	48	3.2	odd	2
462.2.w.a.239.4	yes	48	11.8	odd	10
462.2.w.b.29.6	yes	48	1.1	even	1	trivial
462.2.w.b.239.6	yes	48	33.8	even	10	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.407282 + 1.68348i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.88925 + 2.60033i) q^{5} +(-0.660029 + 1.60136i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.66824 + 1.37131i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.407282 + 1.68348i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.88925 + 2.60033i) q^{5} +(-0.660029 + 1.60136i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.66824 + 1.37131i) q^{9} +3.21418i q^{10} +(-0.355870 - 3.29748i) q^{11} +(-1.47523 + 0.907574i) q^{12} +(1.19782 - 1.64866i) q^{13} +(-0.951057 - 0.309017i) q^{14} +(-3.60815 + 4.23959i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.57642 - 1.14533i) q^{17} +(-2.96469 - 0.458942i) q^{18} +(2.14901 + 0.698257i) q^{19} +(-1.88925 + 2.60033i) q^{20} +(-0.907574 - 1.47523i) q^{21} +(1.65030 - 2.87689i) q^{22} -6.70591i q^{23} +(-1.72695 - 0.132877i) q^{24} +(-1.64736 + 5.07005i) q^{25} +(1.93811 - 0.629731i) q^{26} +(-3.39530 - 3.93344i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(-0.422245 - 1.29954i) q^{29} +(-5.41103 + 1.30908i) q^{30} +(1.07310 + 0.779655i) q^{31} -1.00000 q^{32} +(5.40631 - 1.94211i) q^{33} +1.94856 q^{34} +(-2.60033 - 1.88925i) q^{35} +(-2.12872 - 2.11389i) q^{36} +(3.29044 + 10.1269i) q^{37} +(1.32816 + 1.82806i) q^{38} +(3.26334 + 1.34504i) q^{39} +(-3.05687 + 0.993237i) q^{40} +(1.23700 - 3.80710i) q^{41} +(0.132877 - 1.72695i) q^{42} +7.48340i q^{43} +(3.02612 - 1.35743i) q^{44} +(-8.60682 - 4.34756i) q^{45} +(3.94163 - 5.42519i) q^{46} +(3.88088 + 1.26097i) q^{47} +(-1.31903 - 1.12257i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-4.31284 + 3.13346i) q^{50} +(2.57020 + 2.18740i) q^{51} +(1.93811 + 0.629731i) q^{52} +(-3.85552 + 5.30667i) q^{53} +(-0.434843 - 5.17793i) q^{54} +(7.90220 - 7.15513i) q^{55} -1.00000i q^{56} +(-0.300249 + 3.90222i) q^{57} +(0.422245 - 1.29954i) q^{58} +(-11.7835 + 3.82871i) q^{59} +(-5.14707 - 2.12145i) q^{60} +(2.27414 + 3.13009i) q^{61} +(0.409889 + 1.26151i) q^{62} +(2.11389 - 2.12872i) q^{63} +(-0.809017 - 0.587785i) q^{64} +6.55003 q^{65} +(5.51534 + 1.60655i) q^{66} -7.77797 q^{67} +(1.57642 + 1.14533i) q^{68} +(11.2893 - 2.73120i) q^{69} +(-0.993237 - 3.05687i) q^{70} +(-3.19442 - 4.39674i) q^{71} +(-0.479659 - 2.96141i) q^{72} +(4.22384 - 1.37241i) q^{73} +(-3.29044 + 10.1269i) q^{74} +(-9.20629 - 0.708362i) q^{75} +2.25961i q^{76} +(1.35743 + 3.02612i) q^{77} +(1.84950 + 3.00630i) q^{78} +(10.0938 - 13.8929i) q^{79} +(-3.05687 - 0.993237i) q^{80} +(5.23903 - 7.31796i) q^{81} +(3.23851 - 2.35292i) q^{82} +(13.6707 - 9.93232i) q^{83} +(1.12257 - 1.31903i) q^{84} +(5.95649 + 1.93538i) q^{85} +(-4.39863 + 6.05420i) q^{86} +(2.01578 - 1.24012i) q^{87} +(3.24606 + 0.680524i) q^{88} +3.34756i q^{89} +(-4.40763 - 8.57622i) q^{90} +(-0.629731 + 1.93811i) q^{91} +(6.37770 - 2.07224i) q^{92} +(-0.875481 + 2.12409i) q^{93} +(2.39851 + 3.30127i) q^{94} +(2.24432 + 6.90732i) q^{95} +(-0.407282 - 1.68348i) q^{96} +(-8.66455 - 6.29517i) q^{97} +1.00000 q^{98} +(5.47140 + 8.31046i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more