LMFDB - Embedded newform 336.2.bs.a.19.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(19,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 0, 10]))

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

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

chi := DirichletCharacter("336.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bs (of order $12$, 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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	336.19
Dual form			336.2.bs.a.283.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41385 + 0.0322336i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(1.99792 - 0.0911467i) q^{4} +(-3.59645 + 0.963666i) q^{5} +(0.334795 - 1.37401i) q^{6} +(-1.51089 + 2.17191i) q^{7} +(-2.82182 + 0.193268i) q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(-1.41385 + 0.0322336i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(1.99792 - 0.0911467i) q^{4} +(-3.59645 + 0.963666i) q^{5} +(0.334795 - 1.37401i) q^{6} +(-1.51089 + 2.17191i) q^{7} +(-2.82182 + 0.193268i) q^{8} +(-0.866025 - 0.500000i) q^{9} +(5.05377 - 1.47840i) q^{10} +(1.57720 - 5.88618i) q^{11} +(-0.429059 + 1.95343i) q^{12} +(1.44556 - 1.44556i) q^{13} +(2.06616 - 3.11945i) q^{14} -3.72332i q^{15} +(3.98338 - 0.364208i) q^{16} +(0.926934 - 0.535165i) q^{17} +(1.24054 + 0.679008i) q^{18} +(-1.70731 + 0.457472i) q^{19} +(-7.09760 + 2.25314i) q^{20} +(-1.70686 - 2.02154i) q^{21} +(-2.04018 + 8.37299i) q^{22} +(0.427599 - 0.740624i) q^{23} +(0.543658 - 2.77569i) q^{24} +(7.67569 - 4.43156i) q^{25} +(-1.99721 + 2.09040i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-2.82068 + 4.47702i) q^{28} +(-0.0115662 - 0.0115662i) q^{29} +(0.120016 + 5.26420i) q^{30} +(-3.35547 - 5.81184i) q^{31} +(-5.62015 + 0.643333i) q^{32} +(5.27740 + 3.04691i) q^{33} +(-1.29329 + 0.786520i) q^{34} +(3.34085 - 9.26718i) q^{35} +(-1.77582 - 0.920026i) q^{36} +(-1.15944 - 4.32710i) q^{37} +(2.39912 - 0.701827i) q^{38} +(1.02217 + 1.77045i) q^{39} +(9.96228 - 3.41437i) q^{40} +3.89169 q^{41} +(2.47840 + 2.80313i) q^{42} +(-9.03220 - 9.03220i) q^{43} +(2.61461 - 11.9039i) q^{44} +(3.59645 + 0.963666i) q^{45} +(-0.580687 + 1.06091i) q^{46} +(-6.12946 + 10.6165i) q^{47} +(-0.679178 + 3.94192i) q^{48} +(-2.43441 - 6.56305i) q^{49} +(-10.7094 + 6.51296i) q^{50} +(0.277022 + 1.03386i) q^{51} +(2.75636 - 3.01988i) q^{52} +(3.21762 + 0.862158i) q^{53} +(-0.976948 + 1.02253i) q^{54} +22.6892i q^{55} +(3.84370 - 6.42074i) q^{56} -1.76753i q^{57} +(0.0167256 + 0.0159800i) q^{58} +(-7.81270 - 2.09341i) q^{59} +(-0.339368 - 7.43891i) q^{60} +(-2.30721 - 8.61062i) q^{61} +(4.93145 + 8.10889i) q^{62} +(2.39443 - 1.12548i) q^{63} +(7.92530 - 1.09073i) q^{64} +(-3.80586 + 6.59194i) q^{65} +(-7.55965 - 4.13775i) q^{66} +(-4.61399 - 1.23631i) q^{67} +(1.80316 - 1.15371i) q^{68} +(0.604717 + 0.604717i) q^{69} +(-4.42474 + 13.2100i) q^{70} -4.06474 q^{71} +(2.54040 + 1.24353i) q^{72} +(7.61280 + 13.1858i) q^{73} +(1.77875 + 6.08048i) q^{74} +(2.29394 + 8.56112i) q^{75} +(-3.36937 + 1.06961i) q^{76} +(10.4013 + 12.3189i) q^{77} +(-1.50226 - 2.47019i) q^{78} +(1.61574 + 0.932851i) q^{79} +(-13.9751 + 5.14851i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-5.50226 + 0.125443i) q^{82} +(-4.97382 - 4.97382i) q^{83} +(-3.59443 - 3.88331i) q^{84} +(-2.81795 + 2.81795i) q^{85} +(13.0613 + 12.4790i) q^{86} +(0.0141656 - 0.00817854i) q^{87} +(-3.31295 + 16.9145i) q^{88} +(0.259313 - 0.449143i) q^{89} +(-5.11589 - 1.24655i) q^{90} +(0.955545 + 5.32373i) q^{91} +(0.786805 - 1.51868i) q^{92} +(6.48227 - 1.73692i) q^{93} +(8.32390 - 15.2077i) q^{94} +(5.69940 - 3.29055i) q^{95} +(0.833191 - 5.59516i) q^{96} -1.22677i q^{97} +(3.65343 + 9.20068i) q^{98} +(-4.30898 + 4.30898i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{4} - 24 q^{8}+O(q^{10}) $ 128 * q + 4 * q^4 - 24 * q^8	$ 128 q + 4 q^{4} - 24 q^{8} + 36 q^{10} - 8 q^{11} - 32 q^{14} - 4 q^{16} + 4 q^{18} + 16 q^{22} + 16 q^{23} - 32 q^{28} + 32 q^{29} - 24 q^{35} - 16 q^{37} + 60 q^{40} - 20 q^{42} - 16 q^{43} - 12 q^{44} - 20 q^{46} - 32 q^{50} - 144 q^{52} - 16 q^{53} - 56 q^{56} - 40 q^{58} - 96 q^{59} - 24 q^{60} - 32 q^{64} - 72 q^{66} + 16 q^{67} - 60 q^{68} + 28 q^{70} + 128 q^{71} - 4 q^{72} - 72 q^{74} + 72 q^{78} - 36 q^{80} + 64 q^{81} - 60 q^{82} + 24 q^{84} - 44 q^{86} - 48 q^{88} - 8 q^{91} + 56 q^{92} + 36 q^{94} + 60 q^{96} + 148 q^{98} - 16 q^{99}+O(q^{100}) $ 128 * q + 4 * q^4 - 24 * q^8 + 36 * q^10 - 8 * q^11 - 32 * q^14 - 4 * q^16 + 4 * q^18 + 16 * q^22 + 16 * q^23 - 32 * q^28 + 32 * q^29 - 24 * q^35 - 16 * q^37 + 60 * q^40 - 20 * q^42 - 16 * q^43 - 12 * q^44 - 20 * q^46 - 32 * q^50 - 144 * q^52 - 16 * q^53 - 56 * q^56 - 40 * q^58 - 96 * q^59 - 24 * q^60 - 32 * q^64 - 72 * q^66 + 16 * q^67 - 60 * q^68 + 28 * q^70 + 128 * q^71 - 4 * q^72 - 72 * q^74 + 72 * q^78 - 36 * q^80 + 64 * q^81 - 60 * q^82 + 24 * q^84 - 44 * q^86 - 48 * q^88 - 8 * q^91 + 56 * q^92 + 36 * q^94 + 60 * q^96 + 148 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.41385	+	0.0322336i	−0.999740	+	0.0227926i
$2$	−1.41385	+	0.0322336i	−0.999740	+	0.0227926i
$3$	−0.258819	+	0.965926i	−0.149429	+	0.557678i
$3$	−0.258819	+	0.965926i	−0.149429	+	0.557678i
$4$	1.99792	−	0.0911467i	0.998961	−	0.0455733i
$5$	−3.59645	+	0.963666i	−1.60838	+	0.430965i	−0.947560	−	0.319578i	$-0.896459\pi$
$5$	−3.59645	+	0.963666i	−1.60838	+	0.430965i	−0.660822	+	0.750542i	$0.729792\pi$
$6$	0.334795	−	1.37401i	0.136680	−	0.560939i
$7$	−1.51089	+	2.17191i	−0.571064	+	0.820906i
$7$	−1.51089	+	2.17191i	−0.571064	+	0.820906i
$8$	−2.82182	+	0.193268i	−0.997663	+	0.0683304i
$9$	−0.866025	−	0.500000i	−0.288675	−	0.166667i
$10$	5.05377	−	1.47840i	1.59814	−	0.467512i
$11$	1.57720	−	5.88618i	0.475543	−	1.77475i	−0.143777	−	0.989610i	$-0.545925\pi$
$11$	1.57720	−	5.88618i	0.475543	−	1.77475i	0.619320	−	0.785139i	$-0.287408\pi$
$12$	−0.429059	+	1.95343i	−0.123859	+	0.563908i
$13$	1.44556	−	1.44556i	0.400927	−	0.400927i	−0.477633	−	0.878560i	$-0.658505\pi$
$13$	1.44556	−	1.44556i	0.400927	−	0.400927i	0.878560	+	0.477633i	$0.158505\pi$
$14$	2.06616	−	3.11945i	0.552205	−	0.833708i
$15$		−	3.72332i		−	0.961357i
$16$	3.98338	−	0.364208i	0.995846	−	0.0910520i
$17$	0.926934	−	0.535165i	0.224814	−	0.129797i	−0.383363	−	0.923598i	$-0.625234\pi$
$17$	0.926934	−	0.535165i	0.224814	−	0.129797i	0.608178	+	0.793801i	$0.291901\pi$
$18$	1.24054	+	0.679008i	0.292399	+	0.160044i
$19$	−1.70731	+	0.457472i	−0.391683	+	0.104951i	−0.449285	−	0.893388i	$-0.648321\pi$
$19$	−1.70731	+	0.457472i	−0.391683	+	0.104951i	0.0576020	+	0.998340i	$0.481655\pi$
$20$	−7.09760	+	2.25314i	−1.58707	+	0.503816i
$21$	−1.70686	−	2.02154i	−0.372467	−	0.441137i
$22$	−2.04018	+	8.37299i	−0.434968	+	1.78513i
$23$	0.427599	−	0.740624i	0.0891606	−	0.154431i	−0.817996	−	0.575224i	$-0.804915\pi$
$23$	0.427599	−	0.740624i	0.0891606	−	0.154431i	0.907157	+	0.420793i	$0.138248\pi$
$24$	0.543658	−	2.77569i	0.110974	−	0.566585i
$25$	7.67569	−	4.43156i	1.53514	−	0.886312i
$26$	−1.99721	+	2.09040i	−0.391685	+	0.409961i
$27$	0.707107	−	0.707107i	0.136083	−	0.136083i
$28$	−2.82068	+	4.47702i	−0.533059	+	0.846078i
$29$	−0.0115662	−	0.0115662i	−0.00214779	−	0.00214779i	0.706032	−	0.708180i	$-0.250483\pi$
$29$	−0.0115662	−	0.0115662i	−0.00214779	−	0.00214779i	−0.708180	+	0.706032i	$0.750483\pi$
$30$	0.120016	+	5.26420i	0.0219118	+	0.961108i
$31$	−3.35547	−	5.81184i	−0.602660	−	1.04384i	−0.992417	−	0.122920i	$-0.960774\pi$
$31$	−3.35547	−	5.81184i	−0.602660	−	1.04384i	0.389757	−	0.920918i	$-0.372559\pi$
$32$	−5.62015	+	0.643333i	−0.993512	+	0.113726i
$33$	5.27740	+	3.04691i	0.918678	+	0.530399i
$34$	−1.29329	+	0.786520i	−0.221798	+	0.134887i
$35$	3.34085	−	9.26718i	0.564707	−	1.56644i
$36$	−1.77582	−	0.920026i	−0.295971	−	0.153338i
$37$	−1.15944	−	4.32710i	−0.190611	−	0.711371i	−0.993359	−	0.115053i	$-0.963296\pi$
$37$	−1.15944	−	4.32710i	−0.190611	−	0.711371i	0.802748	−	0.596318i	$-0.203370\pi$
$38$	2.39912	−	0.701827i	0.389189	−	0.113851i
$39$	1.02217	+	1.77045i	0.163678	+	0.283498i
$40$	9.96228	−	3.41437i	1.57518	−	0.539859i
$41$	3.89169			0.607780			0.303890	−	0.952707i	$-0.401714\pi$
$41$	3.89169			0.607780			0.303890	+	0.952707i	$0.401714\pi$
$42$	2.47840	+	2.80313i	0.382425	+	0.432533i
$43$	−9.03220	−	9.03220i	−1.37740	−	1.37740i	−0.848993	−	0.528404i	$-0.822791\pi$
$43$	−9.03220	−	9.03220i	−1.37740	−	1.37740i	−0.528404	−	0.848993i	$-0.677209\pi$
$44$	2.61461	−	11.9039i	0.394167	−	1.79458i
$45$	3.59645	+	0.963666i	0.536127	+	0.143655i
$46$	−0.580687	+	1.06091i	−0.0856176	+	0.156423i
$47$	−6.12946	+	10.6165i	−0.894074	+	1.54858i	−0.0591268	+	0.998250i	$0.518832\pi$
$47$	−6.12946	+	10.6165i	−0.894074	+	1.54858i	−0.834947	+	0.550331i	$0.814502\pi$
$48$	−0.679178	+	3.94192i	−0.0980309	+	0.568967i
$49$	−2.43441	−	6.56305i	−0.347772	−	0.937579i
$50$	−10.7094	+	6.51296i	−1.51454	+	0.921072i
$51$	0.277022	+	1.03386i	0.0387908	+	0.144769i
$52$	2.75636	−	3.01988i	0.382239	−	0.418782i
$53$	3.21762	+	0.862158i	0.441974	+	0.118427i	0.472941	−	0.881094i	$-0.343192\pi$
$53$	3.21762	+	0.862158i	0.441974	+	0.118427i	−0.0309677	+	0.999520i	$0.509859\pi$
$54$	−0.976948	+	1.02253i	−0.132946	+	0.139149i
$55$			22.6892i			3.05942i
$56$	3.84370	−	6.42074i	0.513636	−	0.858008i
$57$		−	1.76753i		−	0.234116i
$58$	0.0167256	+	0.0159800i	0.00219618	+	0.00209828i
$59$	−7.81270	−	2.09341i	−1.01713	−	0.272538i	−0.288522	−	0.957473i	$-0.593164\pi$
$59$	−7.81270	−	2.09341i	−1.01713	−	0.272538i	−0.728604	+	0.684935i	$0.759831\pi$
$60$	−0.339368	−	7.43891i	−0.0438123	−	0.960359i
$61$	−2.30721	−	8.61062i	−0.295408	−	1.10248i	−0.940893	−	0.338704i	$-0.890012\pi$
$61$	−2.30721	−	8.61062i	−0.295408	−	1.10248i	0.645485	−	0.763773i	$-0.276655\pi$
$62$	4.93145	+	8.10889i	0.626295	+	1.02983i
$63$	2.39443	−	1.12548i	0.301670	−	0.141798i
$64$	7.92530	−	1.09073i	0.990662	−	0.136341i
$65$	−3.80586	+	6.59194i	−0.472059	+	0.817629i
$66$	−7.55965	−	4.13775i	−0.930528	−	0.509322i
$67$	−4.61399	−	1.23631i	−0.563688	−	0.151040i	−0.0342881	−	0.999412i	$-0.510916\pi$
$67$	−4.61399	−	1.23631i	−0.563688	−	0.151040i	−0.529400	+	0.848372i	$0.677583\pi$
$68$	1.80316	−	1.15371i	0.218666	−	0.139907i
$69$	0.604717	+	0.604717i	0.0727993	+	0.0727993i
$70$	−4.42474	+	13.2100i	−0.528858	+	1.57890i
$71$	−4.06474			−0.482396			−0.241198	−	0.970476i	$-0.577540\pi$
$71$	−4.06474			−0.482396			−0.241198	+	0.970476i	$0.577540\pi$
$72$	2.54040	+	1.24353i	0.299389	+	0.146552i
$73$	7.61280	+	13.1858i	0.891011	+	1.54328i	0.838665	+	0.544648i	$0.183337\pi$
$73$	7.61280	+	13.1858i	0.891011	+	1.54328i	0.0523467	+	0.998629i	$0.483330\pi$
$74$	1.77875	+	6.08048i	0.206776	+	0.706842i
$75$	2.29394	+	8.56112i	0.264882	+	0.988553i
$76$	−3.36937	+	1.06961i	−0.386493	+	0.122692i
$77$	10.4013	+	12.3189i	1.18534	+	1.40387i
$78$	−1.50226	−	2.47019i	−0.170097	−	0.279694i
$79$	1.61574	+	0.932851i	0.181785	+	0.104954i	0.588131	−	0.808765i	$-0.299864\pi$
$79$	1.61574	+	0.932851i	0.181785	+	0.104954i	−0.406346	+	0.913719i	$0.633197\pi$
$80$	−13.9751	+	5.14851i	−1.56246	+	0.575621i
$81$	0.500000	+	0.866025i	0.0555556	+	0.0962250i
$82$	−5.50226	+	0.125443i	−0.607623	+	0.0138529i
$83$	−4.97382	−	4.97382i	−0.545948	−	0.545948i	0.379318	−	0.925266i	$-0.376159\pi$
$83$	−4.97382	−	4.97382i	−0.545948	−	0.545948i	−0.925266	+	0.379318i	$0.876159\pi$
$84$	−3.59443	−	3.88331i	−0.392184	−	0.423704i
$85$	−2.81795	+	2.81795i	−0.305650	+	0.305650i
$86$	13.0613	+	12.4790i	1.40843	+	1.34564i
$87$	0.0141656	−	0.00817854i	0.00151872	−	0.000876831i
$88$	−3.31295	+	16.9145i	−0.353162	+	1.80309i
$89$	0.259313	−	0.449143i	0.0274871	−	0.0476091i	−0.851955	−	0.523616i	$-0.824583\pi$
$89$	0.259313	−	0.449143i	0.0274871	−	0.0476091i	0.879442	+	0.476007i	$0.157916\pi$
$90$	−5.11589	−	1.24655i	−0.539262	−	0.131398i
$91$	0.955545	+	5.32373i	0.100168	+	0.558078i
$92$	0.786805	−	1.51868i	0.0820301	−	0.158334i
$93$	6.48227	−	1.73692i	0.672180	−	0.180110i
$94$	8.32390	−	15.2077i	0.858545	−	1.56856i
$95$	5.69940	−	3.29055i	0.584746	−	0.337603i
$96$	0.833191	−	5.59516i	0.0850372	−	0.571053i
$97$		−	1.22677i		−	0.124560i	−0.998059	−	0.0622799i	$-0.980163\pi$
$97$		−	1.22677i		−	0.124560i	0.998059	−	0.0622799i	$-0.0198372\pi$
$98$	3.65343	+	9.20068i	0.369052	+	0.929409i
$99$	−4.30898	+	4.30898i	−0.433069	+	0.433069i
$100$	14.9315	−	9.55353i	1.49315	−	0.955353i
$101$	1.92513	−	7.18467i	0.191557	−	0.714901i	−0.801574	−	0.597896i	$-0.796004\pi$
$101$	1.92513	−	7.18467i	0.191557	−	0.714901i	0.993131	−	0.117006i	$-0.0373296\pi$
$102$	−0.424992	−	1.45279i	−0.0420804	−	0.143848i
$103$	−1.82658	−	1.05457i	−0.179978	−	0.103910i	0.407304	−	0.913292i	$-0.366469\pi$
$103$	−1.82658	−	1.05457i	−0.179978	−	0.103910i	−0.587282	+	0.809382i	$0.699802\pi$
$104$	−3.79973	+	4.35849i	−0.372595	+	0.427386i
$105$	8.08673	+	5.62554i	0.789184	+	0.548996i
$106$	−4.57701	−	1.11524i	−0.444558	−	0.108322i
$107$	8.21383	−	2.20089i	0.794061	−	0.212768i	0.161086	−	0.986940i	$-0.448500\pi$
$107$	8.21383	−	2.20089i	0.794061	−	0.212768i	0.632975	+	0.774173i	$0.281834\pi$
$108$	1.34829	−	1.47719i	0.129740	−	0.142143i
$109$	−4.68155	+	17.4718i	−0.448411	+	1.67349i	0.258358	+	0.966049i	$0.416819\pi$
$109$	−4.68155	+	17.4718i	−0.448411	+	1.67349i	−0.706769	+	0.707444i	$0.749848\pi$
$110$	−0.731356	−	32.0791i	−0.0697320	−	3.05862i
$111$	4.47975			0.425199
$112$	−5.22744	+	9.20184i	−0.493947	+	0.869492i
$113$	−5.11324			−0.481013			−0.240507	−	0.970647i	$-0.577314\pi$
$113$	−5.11324			−0.481013			−0.240507	+	0.970647i	$0.577314\pi$
$114$	0.0569740	+	2.49902i	0.00533610	+	0.234055i
$115$	−0.824126	+	3.07568i	−0.0768502	+	0.286809i
$116$	−0.0241626	−	0.0220541i	−0.00224344	−	0.00204768i
$117$	−1.97468	+	0.529113i	−0.182559	+	0.0489165i
$118$	11.1134	+	2.70792i	1.02307	+	0.249285i
$119$	−0.238165	+	2.82180i	−0.0218326	+	0.258674i
$120$	0.719597	+	10.5065i	0.0656900	+	0.959110i
$121$	−22.6332	−	13.0673i	−2.05757	−	1.18794i
$122$	3.53959	+	12.0997i	0.320459	+	1.09546i
$123$	−1.00724	+	3.75909i	−0.0908202	+	0.338945i
$124$	−7.23369	−	11.3058i	−0.649605	−	1.01529i
$125$	−10.1708	+	10.1708i	−0.909701	+	0.909701i
$126$	−3.34907	+	1.66844i	−0.298359	+	0.148637i
$127$		−	4.89807i		−	0.434633i	−0.976101	−	0.217317i	$-0.930270\pi$
$127$		−	4.89807i		−	0.434633i	0.976101	−	0.217317i	$-0.0697304\pi$
$128$	−11.1700	+	1.79759i	−0.987297	+	0.158886i
$129$	11.0621	−	6.38673i	0.973967	−	0.562320i
$130$	5.16842	−	9.44266i	0.453300	−	0.828176i
$131$	−15.6169	+	4.18454i	−1.36446	+	0.365605i	−0.865451	−	0.500993i	$-0.832968\pi$
$131$	−15.6169	+	4.18454i	−1.36446	+	0.365605i	−0.499006	+	0.866598i	$0.666302\pi$
$132$	10.8216	+	5.60647i	0.941895	+	0.487980i
$133$	1.58597	−	4.39931i	0.137521	−	0.381469i
$134$	6.56332	+	1.59923i	0.566985	+	0.138153i
$135$	−1.86166	+	3.22449i	−0.160226	+	0.277520i
$136$	−2.51221	+	1.68928i	−0.215420	+	0.144855i
$137$	13.2465	−	7.64785i	1.13172	−	0.653400i	0.187355	−	0.982292i	$-0.440009\pi$
$137$	13.2465	−	7.64785i	1.13172	−	0.653400i	0.944367	+	0.328892i	$0.106675\pi$
$138$	−0.874469	−	0.835484i	−0.0744397	−	0.0711211i
$139$	8.18771	−	8.18771i	0.694473	−	0.694473i	−0.268740	−	0.963213i	$-0.586607\pi$
$139$	8.18771	−	8.18771i	0.694473	−	0.694473i	0.963213	+	0.268740i	$0.0866072\pi$
$140$	5.83009	−	18.8196i	0.492733	−	1.59055i
$141$	−8.66837	−	8.66837i	−0.730008	−	0.730008i
$142$	5.74692	−	0.131021i	0.482271	−	0.0109951i
$143$	−6.22890	−	10.7888i	−0.520887	−	0.902203i
$144$	−3.63182	−	1.67628i	−0.302651	−	0.139690i
$145$	0.0527432	+	0.0304513i	0.00438009	+	0.00252884i
$146$	−11.1884	−	18.3973i	−0.925955	−	1.52257i
$147$	6.96949	−	0.652812i	0.574834	−	0.0538431i
$148$	−2.71088	−	8.53953i	−0.222833	−	0.701945i
$149$	−2.32503	−	8.67713i	−0.190474	−	0.710858i	−0.993392	−	0.114769i	$-0.963387\pi$
$149$	−2.32503	−	8.67713i	−0.190474	−	0.710858i	0.802918	−	0.596089i	$-0.203280\pi$
$150$	−3.51924	−	12.0302i	−0.287345	−	0.982259i
$151$	−2.18441	−	3.78350i	−0.177764	−	0.307897i	0.763350	−	0.645985i	$-0.223553\pi$
$151$	−2.18441	−	3.78350i	−0.177764	−	0.307897i	−0.941114	+	0.338088i	$0.890220\pi$
$152$	4.72929	−	1.62087i	0.383596	−	0.131470i
$153$	−1.07033			−0.0865311
$154$	−15.1029	−	17.0818i	−1.21703	−	1.37649i
$155$	17.6685	+	17.6685i	1.41916	+	1.41916i
$156$	2.20358	+	3.44405i	0.176428	+	0.275744i
$157$	−0.384102	−	0.102920i	−0.0306547	−	0.00821390i	0.243459	−	0.969911i	$-0.421718\pi$
$157$	−0.384102	−	0.102920i	−0.0306547	−	0.00821390i	−0.274114	+	0.961697i	$0.588384\pi$
$158$	−2.31448	−	1.26683i	−0.184130	−	0.100783i
$159$	−1.66556	+	2.88484i	−0.132088	+	0.228782i
$160$	19.5927	−	7.72967i	1.54894	−	0.611084i
$161$	0.962513	+	2.04771i	0.0758567	+	0.161382i
$162$	−0.734838	−	1.20831i	−0.0577343	−	0.0949338i
$163$	−0.900491	−	3.36068i	−0.0705319	−	0.263229i	0.921651	−	0.388019i	$-0.126841\pi$
$163$	−0.900491	−	3.36068i	−0.0705319	−	0.263229i	−0.992183	+	0.124791i	$0.960174\pi$
$164$	7.77530	−	0.354715i	0.607149	−	0.0276986i
$165$	−21.9161	−	5.87241i	−1.70617	−	0.457166i
$166$	7.19255	+	6.87190i	0.558250	+	0.533363i
$167$		−	19.0576i		−	1.47472i	−0.675500	−	0.737360i	$-0.736072\pi$
$167$		−	19.0576i		−	1.47472i	0.675500	−	0.737360i	$-0.263928\pi$
$168$	5.20714	+	5.37454i	0.401740	+	0.414655i
$169$			8.82069i			0.678515i
$170$	3.89332	−	4.07498i	0.298604	−	0.312537i
$171$	1.70731	+	0.457472i	0.130561	+	0.0349837i
$172$	−18.8689	−	17.2224i	−1.43874	−	1.31319i
$173$	−0.299200	−	1.11663i	−0.0227478	−	0.0848959i	0.953619	−	0.301017i	$-0.0973261\pi$
$173$	−0.299200	−	1.11663i	−0.0227478	−	0.0848959i	−0.976367	+	0.216121i	$0.930659\pi$
$174$	−0.0197644	+	0.0120198i	−0.00149834	+	0.000911219i
$175$	−1.97218	+	23.3665i	−0.149083	+	1.76634i
$176$	4.13879	−	24.0213i	0.311973	−	1.81068i
$177$	4.04415	−	7.00467i	0.303977	−	0.526504i
$178$	−0.352151	+	0.643378i	−0.0263948	+	0.0482232i
$179$	16.9675	+	4.54644i	1.26821	+	0.339817i	0.829346	−	0.558735i	$-0.188713\pi$
$179$	16.9675	+	4.54644i	1.26821	+	0.339817i	0.438867	+	0.898552i	$0.355380\pi$
$180$	7.27327	+	1.59753i	0.542117	+	0.119073i
$181$	2.82474	+	2.82474i	0.209961	+	0.209961i	0.804251	−	0.594290i	$-0.202567\pi$
$181$	2.82474	+	2.82474i	0.209961	+	0.209961i	−0.594290	+	0.804251i	$0.702567\pi$
$182$	−1.52260	−	7.49613i	−0.112862	−	0.555650i
$183$	8.91436			0.658969
$184$	−1.06347	+	2.17255i	−0.0783999	+	0.160162i
$185$	8.33977	+	14.4449i	0.613152	+	1.06201i
$186$	−9.10894	+	2.66468i	−0.667900	+	0.195384i
$187$	−1.68812	−	6.30016i	−0.123448	−	0.460713i
$188$	−11.2785	+	21.7697i	−0.822571	+	1.58772i
$189$	0.467411	+	2.60414i	0.0339992	+	0.189423i
$190$	−7.95201	+	4.83604i	−0.576899	+	0.350843i
$191$	8.64908	+	4.99355i	0.625826	+	0.361321i	0.779134	−	0.626858i	$-0.215659\pi$
$191$	8.64908	+	4.99355i	0.625826	+	0.361321i	−0.153308	+	0.988178i	$0.548993\pi$
$192$	−0.997652	+	7.93755i	−0.0719993	+	0.572843i
$193$	−8.26145	−	14.3092i	−0.594672	−	1.03000i	−0.993593	−	0.113017i	$-0.963949\pi$
$193$	−8.26145	−	14.3092i	−0.594672	−	1.03000i	0.398921	−	0.916985i	$-0.369385\pi$
$194$	0.0395433	+	1.73447i	0.00283904	+	0.124527i
$195$	−5.38230	−	5.38230i	−0.385434	−	0.385434i
$196$	−5.46195	−	12.8906i	−0.390140	−	0.920756i
$197$	−13.1294	+	13.1294i	−0.935434	+	0.935434i	−0.998038	−	0.0626040i	$-0.980059\pi$
$197$	−13.1294	+	13.1294i	−0.935434	+	0.935434i	0.0626040	+	0.998038i	$0.480059\pi$
$198$	5.95334	−	6.23113i	0.423086	−	0.442827i
$199$	0.443984	−	0.256334i	0.0314732	−	0.0181710i	−0.484181	−	0.874968i	$-0.660882\pi$
$199$	0.443984	−	0.256334i	0.0314732	−	0.0181710i	0.515654	+	0.856797i	$0.327549\pi$
$200$	−20.8029	+	13.9885i	−1.47099	+	0.989137i
$201$	2.38838	−	4.13679i	0.168463	−	0.291787i
$202$	−2.49025	+	10.2201i	−0.175213	+	0.719082i
$203$	0.0425960	−	0.00764548i	0.00298966	−	0.000536608i
$204$	0.647701	+	2.04032i	0.0453482	+	0.142851i
$205$	−13.9963	+	3.75029i	−0.977543	+	0.261932i
$206$	2.61649	+	1.43213i	0.182300	+	0.0997812i
$207$	−0.740624	+	0.427599i	−0.0514769	+	0.0297202i
$208$	5.23175	−	6.28472i	0.362756	−	0.435767i
$209$			10.7710i			0.745048i
$210$	−11.6147	−	7.69298i	−0.801492	−	0.530866i
$211$	−3.78101	+	3.78101i	−0.260295	+	0.260295i	−0.825174	−	0.564879i	$-0.808923\pi$
$211$	−3.78101	+	3.78101i	−0.260295	+	0.260295i	0.564879	+	0.825174i	$0.308923\pi$
$212$	6.50713	+	1.42925i	0.446912	+	0.0981612i
$213$	1.05203	−	3.92624i	0.0720841	−	0.269022i
$214$	−11.5421	+	3.37648i	−0.789005	+	0.230811i
$215$	41.1879	+	23.7798i	2.80899	+	1.62177i
$216$	−1.85866	+	2.13199i	−0.126466	+	0.145063i
$217$	17.6926	+	1.49329i	1.20105	+	0.101371i
$218$	6.05581	−	24.8533i	0.410151	−	1.68328i
$219$	−14.7068	+	3.94068i	−0.993794	+	0.266286i
$220$	2.06805	+	45.3313i	0.139428	+	3.05624i
$221$	0.566326	−	2.11356i	0.0380952	−	0.142173i
$222$	−6.33367	+	0.144398i	−0.425088	+	0.00969138i
$223$	−23.0421			−1.54301			−0.771506	−	0.636222i	$-0.780496\pi$
$223$	−23.0421			−1.54301			−0.771506	+	0.636222i	$0.780496\pi$
$224$	7.09419	−	13.1785i	0.474000	−	0.880525i
$225$	−8.86312			−0.590875
$226$	7.22934	−	0.164818i	0.480888	−	0.0109635i
$227$	−4.65881	+	17.3869i	−0.309216	+	1.15401i	0.620039	+	0.784571i	$0.287117\pi$
$227$	−4.65881	+	17.3869i	−0.309216	+	1.15401i	−0.929255	+	0.369439i	$0.879550\pi$
$228$	−0.161105	−	3.53140i	−0.0106694	−	0.233872i
$229$	8.02053	−	2.14909i	0.530011	−	0.142016i	0.0161179	−	0.999870i	$-0.494869\pi$
$229$	8.02053	−	2.14909i	0.530011	−	0.142016i	0.513894	+	0.857854i	$0.328203\pi$
$230$	1.06605	−	4.37510i	0.0702931	−	0.288486i
$231$	−14.5912	+	6.85850i	−0.960031	+	0.451256i
$232$	0.0348731	+	0.0304023i	0.00228953	+	0.00199601i
$233$	9.06878	+	5.23586i	0.594115	+	0.343013i	0.766723	−	0.641978i	$-0.221886\pi$
$233$	9.06878	+	5.23586i	0.594115	+	0.343013i	−0.172608	+	0.984991i	$0.555219\pi$
$234$	2.77483	−	0.811735i	0.181397	−	0.0530648i
$235$	11.8135	−	44.0886i	0.770628	−	2.87602i
$236$	−15.8000	−	3.47036i	−1.02849	−	0.225901i
$237$	−1.31925	+	1.31925i	−0.0856945	+	0.0856945i
$238$	0.245772	−	3.99726i	0.0159310	−	0.259104i
$239$		−	17.8844i		−	1.15685i	−0.815736	−	0.578424i	$-0.803668\pi$
$239$		−	17.8844i		−	1.15685i	0.815736	−	0.578424i	$-0.196332\pi$
$240$	−1.35606	−	14.8314i	−0.0875335	−	0.957364i
$241$	−4.40530	+	2.54340i	−0.283770	+	0.163835i	−0.635129	−	0.772406i	$-0.719053\pi$
$241$	−4.40530	+	2.54340i	−0.283770	+	0.163835i	0.351359	+	0.936241i	$0.385720\pi$
$242$	32.4211	+	17.7456i	2.08411	+	1.14073i
$243$	−0.965926	+	0.258819i	−0.0619642	+	0.0166032i
$244$	−5.39445	−	16.9930i	−0.345344	−	1.08787i
$245$	15.0798	+	21.2578i	0.963414	+	1.35811i
$246$	1.30292	−	5.34724i	0.0830711	−	0.340927i
$247$	−1.80672	+	3.12932i	−0.114959	+	0.199114i
$248$	10.5918	+	15.7514i	0.672577	+	1.00022i
$249$	6.09166	−	3.51702i	0.386044	−	0.222882i
$250$	14.0521	−	14.7077i	0.888731	−	0.930199i
$251$	12.5039	−	12.5039i	0.789240	−	0.789240i	−0.192129	−	0.981370i	$-0.561539\pi$
$251$	12.5039	−	12.5039i	0.789240	−	0.789240i	0.981370	+	0.192129i	$0.0615393\pi$
$252$	4.68130	−	2.46688i	0.294894	−	0.155399i
$253$	−3.68503	−	3.68503i	−0.231676	−	0.231676i
$254$	0.157882	+	6.92511i	0.00990641	+	0.434520i
$255$	−1.99259	−	3.45127i	−0.124781	−	0.216127i
$256$	15.7347	−	2.90156i	0.983419	−	0.181348i
$257$	10.9826	+	6.34080i	0.685075	+	0.395528i	0.801765	−	0.597640i	$-0.203895\pi$
$257$	10.9826	+	6.34080i	0.685075	+	0.395528i	−0.116689	+	0.993168i	$0.537228\pi$
$258$	−15.4343	+	9.38642i	−0.960897	+	0.584373i
$259$	11.1499	+	4.01958i	0.692820	+	0.249764i
$260$	−7.00297	+	13.5171i	−0.434306	+	0.838293i
$261$	0.00423352	+	0.0157997i	0.000262048	+	0.000977978i
$262$	21.9451	−	6.41969i	1.35577	−	0.396610i
$263$	−13.7703	−	23.8509i	−0.849114	−	1.47071i	−0.882000	−	0.471249i	$-0.843803\pi$
$263$	−13.7703	−	23.8509i	−0.849114	−	1.47071i	0.0328862	−	0.999459i	$-0.489530\pi$
$264$	−15.4807	−	7.57787i	−0.952773	−	0.466385i
$265$	−12.4028			−0.761900
$266$	−2.10051	+	6.27107i	−0.128791	+	0.384504i
$267$	0.366724	+	0.366724i	0.0224431	+	0.0224431i
$268$	−9.33108	−	2.04951i	−0.569986	−	0.125194i
$269$	−14.7672	−	3.95687i	−0.900374	−	0.241255i	−0.221197	−	0.975229i	$-0.570996\pi$
$269$	−14.7672	−	3.95687i	−0.900374	−	0.241255i	−0.679177	+	0.733975i	$0.737663\pi$
$270$	2.52816	−	4.61894i	0.153859	−	0.281100i
$271$	−5.58939	+	9.68111i	−0.339531	+	0.588086i	−0.984345	−	0.176255i	$-0.943602\pi$
$271$	−5.58939	+	9.68111i	−0.339531	+	0.588086i	0.644813	+	0.764340i	$0.276935\pi$
$272$	3.49742	−	2.46937i	0.212062	−	0.149727i
$273$	−5.38964	−	0.454896i	−0.326196	−	0.0275316i
$274$	−18.4820	+	11.2399i	−1.11654	+	0.679025i
$275$	−13.9789	−	52.1699i	−0.842958	−	3.14596i
$276$	1.26329	+	1.15306i	0.0760414	+	0.0694060i
$277$	4.57921	+	1.22699i	0.275138	+	0.0737229i	0.393750	−	0.919218i	$-0.371178\pi$
$277$	4.57921	+	1.22699i	0.275138	+	0.0737229i	−0.118612	+	0.992941i	$0.537844\pi$
$278$	−11.3122	+	11.8401i	−0.678464	+	0.710121i
$279$			6.71094i			0.401773i
$280$	−7.63623	+	26.7959i	−0.456352	+	1.60136i
$281$		−	20.1092i		−	1.19961i	−0.800145	−	0.599806i	$-0.795244\pi$
$281$		−	20.1092i		−	1.19961i	0.800145	−	0.599806i	$-0.204756\pi$
$282$	12.5351	+	11.9763i	0.746457	+	0.713180i
$283$	−2.59497	−	0.695320i	−0.154255	−	0.0413325i	0.180865	−	0.983508i	$-0.442110\pi$
$283$	−2.59497	−	0.695320i	−0.154255	−	0.0413325i	−0.335120	+	0.942175i	$0.608777\pi$
$284$	−8.12104	+	0.370488i	−0.481895	+	0.0219844i
$285$	1.70331	+	6.35685i	0.100896	+	0.376547i
$286$	9.15447	+	15.0529i	0.541315	+	0.890096i
$287$	−5.87993	+	8.45242i	−0.347081	+	0.498930i
$288$	5.18886	+	2.25293i	0.305757	+	0.132755i
$289$	−7.92720	+	13.7303i	−0.466306	+	0.807665i
$290$	−0.0755524	−	0.0413534i	−0.00443659	−	0.00242835i
$291$	1.18497	+	0.317512i	0.0694642	+	0.0186129i
$292$	16.4116	+	25.6502i	0.960418	+	1.50107i
$293$	−11.2914	−	11.2914i	−0.659651	−	0.659651i	0.295646	−	0.955297i	$-0.404465\pi$
$293$	−11.2914	−	11.2914i	−0.659651	−	0.659651i	−0.955297	+	0.295646i	$0.904465\pi$
$294$	−9.83275	+	1.14763i	−0.573458	+	0.0669310i
$295$	30.1153			1.75338
$296$	4.10803	+	11.9862i	0.238774	+	0.696684i
$297$	−3.04691	−	5.27740i	−0.176800	−	0.306226i
$298$	3.56693	+	12.1932i	0.206627	+	0.706332i
$299$	−0.452497	−	1.68874i	−0.0261686	−	0.0976624i
$300$	5.36344	+	16.8954i	0.309658	+	0.975454i
$301$	33.2638	−	5.97046i	1.91729	−	0.344131i
$302$	3.21037	+	5.27888i	0.184736	+	0.303765i
$303$	6.44160	+	3.71906i	0.370060	+	0.213654i
$304$	−6.63425	+	2.44410i	−0.380500	+	0.140179i
$305$	16.5955	+	28.7443i	0.950257	+	1.64589i
$306$	1.51328	−	0.0345006i	0.0865086	−	0.00197227i
$307$	19.3869	+	19.3869i	1.10647	+	1.10647i	0.993611	+	0.112860i	$0.0360012\pi$
$307$	19.3869	+	19.3869i	1.10647	+	1.10647i	0.112860	+	0.993611i	$0.463999\pi$
$308$	21.9038	+	23.6642i	1.24808	+	1.34839i
$309$	1.49139	−	1.49139i	0.0848424	−	0.0848424i
$310$	−25.5500	−	24.4110i	−1.45114	−	1.38645i
$311$	−12.6176	+	7.28479i	−0.715480	+	0.413083i	−0.813087	−	0.582143i	$-0.802215\pi$
$311$	−12.6176	+	7.28479i	−0.715480	+	0.413083i	0.0976068	+	0.995225i	$0.468881\pi$
$312$	−3.22654	−	4.79832i	−0.182667	−	0.271651i
$313$	−3.39849	+	5.88636i	−0.192094	+	0.332717i	−0.945944	−	0.324330i	$-0.894861\pi$
$313$	−3.39849	+	5.88636i	−0.192094	+	0.332717i	0.753850	+	0.657047i	$0.228195\pi$
$314$	0.546379	+	0.133132i	0.0308339	+	0.00751307i
$315$	−7.52685	+	6.35518i	−0.424090	+	0.358074i
$316$	3.31316	+	1.71649i	0.186380	+	0.0965603i
$317$	−25.6644	+	6.87677i	−1.44146	+	0.386238i	−0.893044	−	0.449969i	$-0.851435\pi$
$317$	−25.6644	+	6.87677i	−1.44146	+	0.386238i	−0.548414	+	0.836207i	$0.684768\pi$
$318$	2.26186	−	4.13240i	0.126839	−	0.231734i
$319$	−0.0863228	+	0.0498385i	−0.00483315	+	0.00279042i
$320$	−27.4518	+	11.5601i	−1.53460	+	0.646229i
$321$			8.50358i			0.474623i
$322$	−1.42685	−	2.86412i	−0.0795153	−	0.159611i
$323$	−1.33774	+	1.33774i	−0.0744337	+	0.0744337i
$324$	1.07790	+	1.68468i	0.0598831	+	0.0935932i
$325$	4.68959	−	17.5018i	0.260132	−	0.970825i
$326$	1.38148	+	4.72246i	0.0765132	+	0.261553i
$327$	−15.6648	−	9.04406i	−0.866264	−	0.500138i
$328$	−10.9816	+	0.752138i	−0.606360	+	0.0415299i
$329$	−13.7972	−	29.3531i	−0.760666	−	1.61829i
$330$	31.1753	+	7.59625i	1.71614	+	0.418160i
$331$	−21.4717	+	5.75334i	−1.18019	+	0.316232i	−0.795003	−	0.606605i	$-0.792531\pi$
$331$	−21.4717	+	5.75334i	−1.18019	+	0.316232i	−0.385190	+	0.922837i	$0.625864\pi$
$332$	−10.3907	−	9.48396i	−0.570261	−	0.520500i
$333$	−1.15944	+	4.32710i	−0.0635371	+	0.237124i
$334$	0.614295	+	26.9445i	0.0336127	+	1.47434i
$335$	17.7854			0.971719
$336$	−7.53534	−	7.43093i	−0.411086	−	0.405390i
$337$	19.7624			1.07653			0.538263	−	0.842777i	$-0.319081\pi$
$337$	19.7624			1.07653			0.538263	+	0.842777i	$0.319081\pi$
$338$	−0.284323	−	12.4711i	−0.0154651	−	0.678339i
$339$	1.32340	−	4.93901i	0.0718775	−	0.268250i
$340$	−5.37320	+	5.88689i	−0.291403	+	0.319262i
$341$	−39.5017	+	10.5845i	−2.13914	+	0.573181i
$342$	−2.42862	−	0.591762i	−0.131324	−	0.0319988i
$343$	17.9325	+	4.62875i	0.968264	+	0.249929i
$344$	27.2328	+	23.7416i	1.46830	+	1.28006i
$345$	−2.75758	−	1.59209i	−0.148463	−	0.0857152i
$346$	0.459016	+	1.56910i	0.0246769	+	0.0843553i
$347$	−5.93793	+	22.1606i	−0.318765	+	1.18965i	0.601669	+	0.798746i	$0.294503\pi$
$347$	−5.93793	+	22.1606i	−0.318765	+	1.18965i	−0.920433	+	0.390900i	$0.872164\pi$
$348$	0.0275564	−	0.0176312i	0.00147718	−	0.000945133i
$349$	3.10772	−	3.10772i	0.166353	−	0.166353i	−0.619021	−	0.785374i	$-0.712471\pi$
$349$	3.10772	−	3.10772i	0.166353	−	0.166353i	0.785374	+	0.619021i	$0.212471\pi$
$350$	2.03517	−	33.1003i	0.108785	−	1.76928i
$351$		−	2.04434i		−	0.109119i
$352$	−5.07731	+	34.0959i	−0.270622	+	1.81732i
$353$	1.24724	−	0.720095i	0.0663840	−	0.0383268i	−0.466441	−	0.884552i	$-0.654464\pi$
$353$	1.24724	−	0.720095i	0.0663840	−	0.0383268i	0.532825	+	0.846226i	$0.321131\pi$
$354$	−5.49202	+	10.0339i	−0.291898	+	0.533295i
$355$	14.6187	−	3.91706i	0.775878	−	0.207896i
$356$	0.477149	−	0.920988i	0.0252888	−	0.0488123i
$357$	−2.66400	−	0.960384i	−0.140994	−	0.0508289i
$358$	−24.1360	−	5.88104i	−1.27563	−	0.310822i
$359$	5.60757	−	9.71259i	0.295956	−	0.512611i	−0.679251	−	0.733906i	$-0.737695\pi$
$359$	5.60757	−	9.71259i	0.295956	−	0.512611i	0.975207	+	0.221295i	$0.0710285\pi$
$360$	−10.3348	−	2.02421i	−0.544690	−	0.106685i
$361$	−13.7489	+	7.93791i	−0.723625	+	0.417785i
$362$	−4.08480	−	3.90270i	−0.214692	−	0.205121i
$363$	18.4800	−	18.4800i	0.969947	−	0.969947i
$364$	2.39435	+	10.5493i	0.125498	+	0.552933i
$365$	−40.0858	−	40.0858i	−2.09818	−	2.09818i
$366$	−12.6035	+	0.287342i	−0.658798	+	0.0150196i
$367$	5.03997	+	8.72949i	0.263085	+	0.455676i	0.967060	−	0.254549i	$-0.0819269\pi$
$367$	5.03997	+	8.72949i	0.263085	+	0.455676i	−0.703975	+	0.710224i	$0.748594\pi$
$368$	1.43355	−	3.10592i	0.0747290	−	0.161908i
$369$	−3.37031	−	1.94585i	−0.175451	−	0.101297i
$370$	−12.2568	−	20.1540i	−0.637199	−	1.04776i
$371$	−6.73401	+	5.68575i	−0.349612	+	0.295190i
$372$	12.7927	−	4.06106i	0.663273	−	0.210556i
$373$	4.68088	+	17.4693i	0.242367	+	0.904526i	0.974689	+	0.223567i	$0.0717701\pi$
$373$	4.68088	+	17.4693i	0.242367	+	0.904526i	−0.732322	+	0.680959i	$0.761563\pi$
$374$	2.58982	+	8.85304i	0.133916	+	0.457780i
$375$	−7.19182	−	12.4566i	−0.371384	−	0.643256i
$376$	15.2444	−	31.1425i	0.786169	−	1.60605i
$377$	−0.0334393			−0.00172221
$378$	−0.744788	−	3.66678i	−0.0383078	−	0.188599i
$379$	17.7074	+	17.7074i	0.909570	+	0.909570i	0.996237	−	0.0866669i	$-0.0276216\pi$
$379$	17.7074	+	17.7074i	0.909570	+	0.909570i	−0.0866669	+	0.996237i	$0.527622\pi$
$380$	11.0870	−	7.09374i	0.568753	−	0.363901i
$381$	4.73117	+	1.26771i	0.242385	+	0.0649469i
$382$	−12.3894	−	6.78132i	−0.633898	−	0.346962i
$383$	9.55900	−	16.5567i	0.488442	−	0.846006i	−0.511470	−	0.859301i	$-0.670899\pi$
$383$	9.55900	−	16.5567i	0.488442	−	0.846006i	0.999912	+	0.0132950i	$0.00423205\pi$
$384$	1.15467	−	11.2546i	0.0589240	−	0.574336i
$385$	−49.2790	−	34.2810i	−2.51149	−	1.74712i
$386$	12.1417	+	19.9648i	0.617994	+	1.01618i
$387$	3.30601	+	12.3382i	0.168054	+	0.627186i
$388$	−0.111816	−	2.45099i	−0.00567661	−	0.124430i
$389$	15.9113	+	4.26341i	0.806733	+	0.216163i	0.638538	−	0.769590i	$-0.279540\pi$
$389$	15.9113	+	4.26341i	0.806733	+	0.216163i	0.168195	+	0.985754i	$0.446206\pi$
$390$	7.78323	+	7.43625i	0.394119	+	0.376549i
$391$		−	0.915346i		−	0.0462910i
$392$	8.13787	+	18.0492i	0.411025	+	0.911624i
$393$		−	16.1678i		−	0.815560i
$394$	18.1398	−	18.9862i	0.913870	−	0.956512i
$395$	−6.70991	−	1.79791i	−0.337612	−	0.0904629i
$396$	−8.21626	+	9.00176i	−0.412882	+	0.452355i
$397$	3.06630	+	11.4436i	0.153893	+	0.574337i	0.999198	+	0.0400524i	$0.0127525\pi$
$397$	3.06630	+	11.4436i	0.153893	+	0.574337i	−0.845304	+	0.534285i	$0.820581\pi$
$398$	−0.619462	+	0.376728i	−0.0310508	+	0.0188837i
$399$	3.83893	+	2.67055i	0.192187	+	0.133695i
$400$	28.9612	−	20.4482i	1.44806	−	1.02241i
$401$	−12.0330	+	20.8418i	−0.600902	+	1.04079i	0.391783	+	0.920058i	$0.371858\pi$
$401$	−12.0330	+	20.8418i	−0.600902	+	1.04079i	−0.992685	+	0.120735i	$0.961475\pi$
$402$	−3.24345	+	5.92577i	−0.161769	+	0.295551i
$403$	−13.2519	−	3.55084i	−0.660125	−	0.176880i
$404$	3.19139	−	14.5299i	0.158778	−	0.722889i
$405$	−2.63279	−	2.63279i	−0.130824	−	0.130824i
$406$	−0.0599778	+	0.0121826i	−0.00297665	+	0.000604610i
$407$	−27.2988			−1.35315
$408$	−0.981517	−	2.86382i	−0.0485923	−	0.141780i
$409$	−13.8801	−	24.0411i	−0.686327	−	1.18875i	−0.973018	−	0.230731i	$-0.925888\pi$
$409$	−13.8801	−	24.0411i	−0.686327	−	1.18875i	0.286690	−	0.958023i	$-0.407445\pi$
$410$	19.6677	−	5.75349i	0.971319	−	0.284145i
$411$	3.95882	+	14.7745i	0.195274	+	0.728773i
$412$	−3.74548	−	1.94047i	−0.184526	−	0.0956002i
$413$	16.3508	−	13.8056i	0.804572	−	0.679328i
$414$	1.03335	−	0.628433i	0.0507861	−	0.0308858i
$415$	22.6812	+	13.0950i	1.11338	+	0.642809i
$416$	−7.19431	+	9.05426i	−0.352730	+	0.443922i
$417$	5.78959	+	10.0279i	0.283517	+	0.491066i
$418$	−0.347189	−	15.2286i	−0.0169816	−	0.744854i
$419$	17.2444	+	17.2444i	0.842445	+	0.842445i	0.989176	−	0.146732i	$-0.0468754\pi$
$419$	17.2444	+	17.2444i	0.842445	+	0.842445i	−0.146732	+	0.989176i	$0.546875\pi$
$420$	16.6694	+	10.5023i	0.813383	+	0.512460i
$421$	28.5673	−	28.5673i	1.39229	−	1.39229i	0.572107	−	0.820179i	$-0.306126\pi$
$421$	28.5673	−	28.5673i	1.39229	−	1.39229i	0.820179	−	0.572107i	$-0.193874\pi$
$422$	5.22389	−	5.46764i	0.254295	−	0.266160i
$423$	10.6165	−	6.12946i	0.516194	−	0.298025i
$424$	−9.24615	−	1.81099i	−0.449033	−	0.0879495i
$425$	4.74324	−	8.21553i	0.230081	−	0.398512i
$426$	−1.36086	+	5.58501i	−0.0659337	+	0.270595i
$427$	22.1874	+	7.99866i	1.07373	+	0.387082i
$428$	16.2100	−	5.14587i	0.783539	−	0.248735i
$429$	12.0333	−	3.22432i	0.580974	−	0.155672i
$430$	−58.9998	−	32.2934i	−2.84523	−	1.55733i
$431$	23.3830	−	13.5002i	1.12632	−	0.650282i	0.183314	−	0.983054i	$-0.441318\pi$
$431$	23.3830	−	13.5002i	1.12632	−	0.650282i	0.943007	+	0.332773i	$0.107984\pi$
$432$	2.55914	−	3.07421i	0.123127	−	0.147908i
$433$		−	21.5963i		−	1.03785i	−0.854820	−	0.518925i	$-0.826332\pi$
$433$		−	21.5963i		−	1.03785i	0.854820	−	0.518925i	$-0.173668\pi$
$434$	−25.0627	−	1.54098i	−1.20305	−	0.0739695i
$435$	−0.0430647	+	0.0430647i	−0.00206479	+	0.00206479i
$436$	−7.76088	+	35.3340i	−0.371679	+	1.69219i
$437$	−0.391229	+	1.46009i	−0.0187150	+	0.0698454i
$438$	20.6661	−	6.04557i	0.987467	−	0.288868i
$439$	−2.98476	−	1.72325i	−0.142455	−	0.0822464i	0.427079	−	0.904215i	$-0.359543\pi$
$439$	−2.98476	−	1.72325i	−0.142455	−	0.0822464i	−0.569534	+	0.821968i	$0.692876\pi$
$440$	−4.38510	−	64.0249i	−0.209051	−	3.05227i
$441$	−1.17327	+	6.90097i	−0.0558700	+	0.328618i
$442$	−0.732570	+	3.00650i	−0.0348448	+	0.143005i
$443$	−2.19235	+	0.587439i	−0.104162	+	0.0279101i	−0.310523	−	0.950566i	$-0.600504\pi$
$443$	−2.19235	+	0.587439i	−0.104162	+	0.0279101i	0.206362	+	0.978476i	$0.433838\pi$
$444$	8.95018	−	0.408314i	0.424757	−	0.0193777i
$445$	−0.499782	+	1.86521i	−0.0236920	+	0.0884196i
$446$	32.5780	−	0.742729i	1.54261	−	0.0351693i
$447$	8.98323			0.424892
$448$	−9.60530	+	18.8610i	−0.453808	+	0.891100i
$449$	15.0817			0.711751			0.355876	−	0.934533i	$-0.384183\pi$
$449$	15.0817			0.711751			0.355876	+	0.934533i	$0.384183\pi$
$450$	12.5311	−	0.285690i	0.590721	−	0.0134676i
$451$	6.13796	−	22.9072i	0.289025	−	1.07866i
$452$	−10.2159	+	0.466055i	−0.480514	+	0.0219214i
$453$	4.21995	−	1.13073i	0.198270	−	0.0531264i
$454$	6.02640	−	24.7326i	0.282833	−	1.16076i
$455$	−8.56687	−	18.2257i	−0.401621	−	0.854434i
$456$	0.341607	+	4.98766i	0.0159972	+	0.233568i
$457$	−3.24354	−	1.87266i	−0.151726	−	0.0875993i	0.422215	−	0.906496i	$-0.361253\pi$
$457$	−3.24354	−	1.87266i	−0.151726	−	0.0875993i	−0.573941	+	0.818897i	$0.694586\pi$
$458$	−11.2705	+	3.29702i	−0.526637	+	0.154060i
$459$	0.277022	−	1.03386i	0.0129303	−	0.0482565i
$460$	−1.36620	+	6.22009i	−0.0636995	+	0.290013i
$461$	13.3575	−	13.3575i	0.622122	−	0.622122i	−0.323952	−	0.946074i	$-0.605012\pi$
$461$	13.3575	−	13.3575i	0.622122	−	0.622122i	0.946074	+	0.323952i	$0.105012\pi$
$462$	20.4086	−	10.1672i	0.949496	−	0.473021i
$463$			10.0542i			0.467260i	0.972326	+	0.233630i	$0.0750604\pi$
$463$			10.0542i			0.467260i	−0.972326	+	0.233630i	$0.924940\pi$
$464$	−0.0502851	−	0.0418601i	−0.00233443	−	0.00194331i
$465$	−21.6393	+	12.4935i	−1.00350	+	0.579371i
$466$	−12.9906	−	7.11038i	−0.601779	−	0.329382i
$467$	−22.4278	+	6.00952i	−1.03784	+	0.278087i	−0.737216	−	0.675657i	$-0.763860\pi$
$467$	−22.4278	+	6.00952i	−1.03784	+	0.278087i	−0.300620	+	0.953744i	$0.597194\pi$
$468$	−3.89702	+	1.23711i	−0.180140	+	0.0571855i
$469$	9.65641	−	8.15324i	0.445892	−	0.376482i
$470$	−15.2814	+	62.7153i	−0.704876	+	2.89284i
$471$	0.198826	−	0.344377i	0.00916141	−	0.0158680i
$472$	22.4506	+	4.39727i	1.03337	+	0.202401i
$473$	−67.4106	+	38.9196i	−3.09954	+	1.78952i
$474$	1.82269	−	1.90774i	0.0837190	−	0.0876254i
$475$	−11.0774	+	11.0774i	−0.508268	+	0.508268i
$476$	−0.218638	+	5.65944i	−0.0100212	+	0.259400i
$477$	−2.35546	−	2.35546i	−0.107849	−	0.107849i
$478$	0.576480	+	25.2858i	0.0263676	+	1.15655i
$479$	5.30237	+	9.18398i	0.242272	+	0.419627i	0.961361	−	0.275291i	$-0.0887742\pi$
$479$	5.30237	+	9.18398i	0.242272	+	0.419627i	−0.719089	+	0.694918i	$0.755441\pi$
$480$	2.39533	+	20.9256i	0.109332	+	0.955120i
$481$	−7.93115	−	4.57905i	−0.361629	−	0.208787i
$482$	6.14644	−	3.73798i	0.279962	−	0.170260i
$483$	−2.22705	+	0.399730i	−0.101334	+	0.0181883i
$484$	−46.4105	−	24.0445i	−2.10957	−	1.09293i
$485$	1.18220	+	4.41203i	0.0536809	+	0.200340i
$486$	1.35733	−	0.397066i	0.0615696	−	0.0180113i
$487$	0.484621	+	0.839388i	0.0219603	+	0.0380363i	0.876797	−	0.480861i	$-0.159676\pi$
$487$	0.484621	+	0.839388i	0.0219603	+	0.0380363i	−0.854836	+	0.518898i	$0.826343\pi$
$488$	8.17467	+	23.8517i	0.370050	+	1.07971i
$489$	3.47923			0.157336
$490$	−22.0058	−	29.5691i	−0.994119	−	1.33580i
$491$	15.1363	+	15.1363i	0.683092	+	0.683092i	0.960696	−	0.277603i	$-0.0895401\pi$
$491$	15.1363	+	15.1363i	0.683092	+	0.683092i	−0.277603	+	0.960696i	$0.589540\pi$
$492$	−1.66977	+	7.60217i	−0.0752789	+	0.342732i
$493$	−0.0169109	−	0.00453127i	−0.000761630	−	0.000204078i
$494$	2.45355	−	4.48262i	0.110390	−	0.201683i
$495$	11.3446	−	19.6495i	0.509903	−	0.883178i
$496$	−15.4828	−	21.9287i	−0.695200	−	0.984628i
$497$	6.14139	−	8.82827i	0.275479	−	0.396002i
$498$	−8.49931	+	5.16889i	−0.380863	+	0.231623i
$499$	−2.43086	−	9.07211i	−0.108820	−	0.406123i	0.889930	−	0.456097i	$-0.150753\pi$
$499$	−2.43086	−	9.07211i	−0.108820	−	0.406123i	−0.998751	+	0.0499735i	$0.984086\pi$
$500$	−19.3934	+	21.2474i	−0.867298	+	0.950214i
$501$	18.4082	+	4.93247i	0.822418	+	0.220366i
$502$	−17.2756	+	18.0817i	−0.771046	+	0.807024i
$503$		−	31.3111i		−	1.39610i	−0.716051	−	0.698048i	$-0.754052\pi$
$503$		−	31.3111i		−	1.39610i	0.716051	−	0.698048i	$-0.245948\pi$
$504$	−6.53912	+	3.63868i	−0.291275	+	0.162080i
$505$			27.6945i			1.23239i
$506$	5.32885	+	5.09129i	0.236896	+	0.226335i
$507$	−8.52014	−	2.28296i	−0.378393	−	0.101390i
$508$	−0.446442	−	9.78595i	−0.0198077	−	0.434181i
$509$	3.44781	+	12.8674i	0.152821	+	0.570337i	0.999282	+	0.0378859i	$0.0120624\pi$
$509$	3.44781	+	12.8674i	0.152821	+	0.570337i	−0.846461	+	0.532451i	$0.821271\pi$
$510$	2.92847	+	4.81534i	0.129675	+	0.213227i
$511$	−40.1405	−	3.38793i	−1.77571	−	0.149873i
$512$	−22.1529	+	4.60955i	−0.979030	+	0.203715i
$513$	−0.883767	+	1.53073i	−0.0390193	+	0.0675834i
$514$	−15.7321	−	8.61091i	−0.693913	−	0.379811i
$515$	7.58545	+	2.03252i	0.334255	+	0.0895634i
$516$	21.5192	−	13.7685i	0.947328	−	0.606123i
$517$	52.8234	+	52.8234i	2.32317	+	2.32317i
$518$	−15.8938	−	5.32366i	−0.698333	−	0.233908i
$519$	1.15602			0.0507437
$520$	9.46542	−	19.3368i	0.415086	−	0.847974i
$521$	6.17611	+	10.6973i	0.270580	+	0.468659i	0.969011	−	0.247019i	$-0.0794511\pi$
$521$	6.17611	+	10.6973i	0.270580	+	0.468659i	−0.698430	+	0.715678i	$0.746118\pi$
$522$	−0.00649483	−	0.0222019i	−0.000284271	−	0.000971751i
$523$	−4.33215	−	16.1678i	−0.189432	−	0.706969i	−0.993638	−	0.112619i	$-0.964076\pi$
$523$	−4.33215	−	16.1678i	−0.189432	−	0.706969i	0.804206	−	0.594350i	$-0.202591\pi$
$524$	−30.8200	+	9.78383i	−1.34638	+	0.427408i
$525$	−22.0599	−	7.95268i	−0.962773	−	0.347084i
$526$	20.2379	+	33.2776i	0.882415	+	1.45097i
$527$	−6.22059	−	3.59146i	−0.270973	−	0.156446i
$528$	22.1316	+	10.2149i	0.963155	+	0.444548i
$529$	11.1343	+	19.2852i	0.484101	+	0.838487i
$530$	17.5357	−	0.399788i	0.761702	−	0.0173657i
$531$	5.71929	+	5.71929i	0.248196	+	0.248196i
$532$	2.76766	−	8.93404i	0.119993	−	0.387340i
$533$	5.62569	−	5.62569i	0.243676	−	0.243676i
$534$	−0.530312	−	0.506670i	−0.0229488	−	0.0219258i
$535$	−27.4197	+	15.8308i	−1.18546	+	0.684424i
$536$	13.2588	+	2.59692i	0.572692	+	0.112170i
$537$	−8.78304	+	15.2127i	−0.379016	+	0.656475i
$538$	21.0061	+	5.11840i	0.905639	+	0.220670i
$539$	−42.4708	+	3.97812i	−1.82935	+	0.171350i
$540$	−3.42555	+	6.61197i	−0.147412	+	0.284534i
$541$	35.4037	−	9.48639i	1.52212	−	0.407852i	0.601683	−	0.798735i	$-0.294497\pi$
$541$	35.4037	−	9.48639i	1.52212	−	0.407852i	0.920440	+	0.390884i	$0.127831\pi$
$542$	7.59048	−	13.8678i	0.326039	−	0.595672i
$543$	−3.45958	+	1.99739i	−0.148465	+	0.0857163i
$544$	−4.86522	+	3.60404i	−0.208595	+	0.154522i
$545$		−	67.3479i		−	2.88487i
$546$	7.63478	+	0.469426i	0.326739	+	0.0200896i
$547$	−0.160306	+	0.160306i	−0.00685418	+	0.00685418i	−0.710526	−	0.703671i	$-0.751543\pi$
$547$	−0.160306	+	0.160306i	−0.00685418	+	0.00685418i	0.703671	+	0.710526i	$0.251543\pi$
$548$	25.7683	−	16.4872i	1.10077	−	0.704298i
$549$	−2.30721	+	8.61062i	−0.0984692	+	0.367492i
$550$	21.4456	+	73.3096i	0.914444	+	3.12593i
$551$	0.0250383	+	0.0144558i	0.00106667	+	0.000615840i
$552$	−1.82327	−	1.58953i	−0.0776036	−	0.0676548i
$553$	−4.46729	+	2.09982i	−0.189968	+	0.0892934i
$554$	−6.51384	−	1.58718i	−0.276747	−	0.0674327i
$555$	−16.1112	+	4.31698i	−0.683882	+	0.183246i
$556$	15.6121	−	17.1047i	0.662102	−	0.725401i
$557$	4.88516	−	18.2317i	0.206991	−	0.772501i	−0.781842	−	0.623476i	$-0.785720\pi$
$557$	4.88516	−	18.2317i	0.206991	−	0.772501i	0.988833	−	0.149025i	$-0.0476135\pi$
$558$	−0.216318	−	9.48823i	−0.00915745	−	0.401669i
$559$	−26.1132			−1.10447
$560$	9.93273	−	38.1315i	0.419734	−	1.61135i
$561$	6.52240			0.275376
$562$	0.648191	+	28.4313i	0.0273423	+	1.19930i
$563$	−1.14765	+	4.28309i	−0.0483677	+	0.180511i	−0.985884	−	0.167431i	$-0.946453\pi$
$563$	−1.14765	+	4.28309i	−0.0483677	+	0.180511i	0.937516	+	0.347942i	$0.113119\pi$
$564$	−18.1088	−	16.5286i	−0.762519	−	0.695981i
$565$	18.3895	−	4.92746i	0.773653	−	0.207300i
$566$	3.69130	+	0.899431i	0.155157	+	0.0378059i
$567$	−2.63638	−	0.222515i	−0.110717	−	0.00934477i
$568$	11.4700	−	0.785583i	0.481269	−	0.0329623i
$569$	16.9191	+	9.76827i	0.709287	+	0.409507i	0.810797	−	0.585327i	$-0.199034\pi$
$569$	16.9191	+	9.76827i	0.709287	+	0.409507i	−0.101510	+	0.994835i	$0.532367\pi$
$570$	−2.61313	−	8.93271i	−0.109452	−	0.374150i
$571$	−2.84504	+	10.6178i	−0.119061	+	0.444342i	−0.999559	−	0.0297088i	$-0.990542\pi$
$571$	−2.84504	+	10.6178i	−0.119061	+	0.444342i	0.880498	+	0.474051i	$0.157209\pi$
$572$	−13.4282	−	20.9874i	−0.561462	−	0.877527i
$573$	−7.06195	+	7.06195i	−0.295017	+	0.295017i
$574$	8.04087	−	12.1399i	0.335619	−	0.506712i
$575$		−	7.57973i		−	0.316097i
$576$	−7.40887	−	3.01805i	−0.308703	−	0.125752i
$577$	21.4950	−	12.4101i	0.894848	−	0.516641i	0.0193231	−	0.999813i	$-0.493849\pi$
$577$	21.4950	−	12.4101i	0.894848	−	0.516641i	0.875525	+	0.483172i	$0.160516\pi$
$578$	10.7653	−	19.6681i	0.447776	−	0.818084i
$579$	15.9599	−	4.27644i	0.663270	−	0.177723i
$580$	0.108152	+	0.0560320i	0.00449078	+	0.00232660i
$581$	18.3176	−	3.28779i	0.759943	−	0.136401i
$582$	−1.68560	−	0.410717i	−0.0698704	−	0.0170248i
$583$	10.1496	−	17.5797i	0.420355	−	0.728076i
$584$	−24.0303	−	35.7365i	−0.994382	−	1.47879i
$585$	6.59194	−	3.80586i	0.272543	−	0.157353i
$586$	16.3283	+	15.6004i	0.674515	+	0.644445i
$587$	−10.4384	+	10.4384i	−0.430838	+	0.430838i	−0.888913	−	0.458076i	$-0.848539\pi$
$587$	−10.4384	+	10.4384i	−0.430838	+	0.430838i	0.458076	+	0.888913i	$0.348539\pi$
$588$	13.8650	−	1.93951i	0.571783	−	0.0799842i
$589$	8.38756	+	8.38756i	0.345604	+	0.345604i
$590$	−42.5785	+	0.970726i	−1.75293	+	0.0399641i
$591$	−9.28392	−	16.0802i	−0.381890	−	0.661452i
$592$	−6.19447	−	16.8142i	−0.254591	−	0.691061i
$593$	−25.7967	−	14.8937i	−1.05934	−	0.611612i	−0.134092	−	0.990969i	$-0.542812\pi$
$593$	−25.7967	−	14.8937i	−1.05934	−	0.611612i	−0.925250	+	0.379357i	$0.876145\pi$
$594$	4.47797	+	7.36322i	0.183733	+	0.302117i
$595$	−1.86272	−	10.3780i	−0.0763641	−	0.425455i
$596$	−5.43612	−	17.1243i	−0.222672	−	0.701439i
$597$	0.132688	+	0.495199i	0.00543057	+	0.0202672i
$598$	0.694195	+	2.37303i	0.0283877	+	0.0970406i
$599$	−1.63472	−	2.83142i	−0.0667928	−	0.115689i	0.830695	−	0.556728i	$-0.187943\pi$
$599$	−1.63472	−	2.83142i	−0.0667928	−	0.115689i	−0.897488	+	0.441039i	$0.854610\pi$
$600$	−8.12768	−	23.7146i	−0.331811	−	0.968143i
$601$	5.89584			0.240496			0.120248	−	0.992744i	$-0.461631\pi$
$601$	5.89584			0.240496			0.120248	+	0.992744i	$0.461631\pi$
$602$	−46.8375	+	9.51352i	−1.90895	+	0.387742i
$603$	3.37767	+	3.37767i	0.137550	+	0.137550i
$604$	−4.70913	−	7.36004i	−0.191612	−	0.299476i
$605$	93.9919	+	25.1851i	3.82131	+	1.02392i
$606$	−9.22731	−	5.05054i	−0.374834	−	0.205164i
$607$	−4.61369	+	7.99115i	−0.187264	+	0.324351i	−0.944337	−	0.328979i	$-0.893295\pi$
$607$	−4.61369	+	7.99115i	−0.187264	+	0.324351i	0.757073	+	0.653330i	$0.226629\pi$
$608$	9.30102	−	3.66943i	0.377206	−	0.148815i
$609$	−0.00363970	+	0.0431234i	−0.000147488	+	0.00174745i
$610$	−24.3900	−	40.1051i	−0.987524	−	1.62381i
$611$	6.48635	+	24.2074i	0.262410	+	0.979326i
$612$	−2.13844	+	0.0975571i	−0.0864412	+	0.00394351i
$613$	−26.0833	−	6.98900i	−1.05349	−	0.282283i	−0.309799	−	0.950802i	$-0.600262\pi$
$613$	−26.0833	−	6.98900i	−1.05349	−	0.282283i	−0.743695	+	0.668519i	$0.766929\pi$
$614$	−28.0351	−	26.7852i	−1.13140	−	1.08096i
$615$		−	14.4900i		−	0.584294i
$616$	−31.7314	−	32.7515i	−1.27849	−	1.31959i
$617$		−	1.92894i		−	0.0776561i	−0.999246	−	0.0388281i	$-0.987638\pi$
$617$		−	1.92894i		−	0.0776561i	0.999246	−	0.0388281i	$-0.0123625\pi$
$618$	−2.06053	+	2.15667i	−0.0828866	+	0.0867542i
$619$	−24.4973	−	6.56405i	−0.984632	−	0.263831i	−0.269638	−	0.962962i	$-0.586904\pi$
$619$	−24.4973	−	6.56405i	−0.984632	−	0.263831i	−0.714994	+	0.699131i	$0.753571\pi$
$620$	36.9106	+	33.6898i	1.48237	+	1.35301i
$621$	−0.221342	−	0.826059i	−0.00888214	−	0.0331486i
$622$	17.6046	−	10.7063i	0.705879	−	0.429283i
$623$	0.583706	+	1.24181i	0.0233857	+	0.0497521i
$624$	4.71650	+	6.68009i	0.188811	+	0.267417i
$625$	4.61966	−	8.00148i	0.184786	−	0.320059i
$626$	4.61521	−	8.43196i	0.184461	−	0.337009i
$627$	−10.4040	−	2.78775i	−0.415496	−	0.111332i
$628$	−0.776787	−	0.170616i	−0.0309972	−	0.00680833i
$629$	−3.39044	−	3.39044i	−0.135186	−	0.135186i
$630$	10.4370	−	9.22787i	0.415818	−	0.367647i
$631$	21.2675			0.846646			0.423323	−	0.905979i	$-0.360864\pi$
$631$	21.2675			0.846646			0.423323	+	0.905979i	$0.360864\pi$
$632$	−4.73962	−	2.32006i	−0.188532	−	0.0922871i
$633$	−2.67357	−	4.63077i	−0.106265	−	0.184056i
$634$	36.0639	−	10.5499i	1.43228	−	0.418992i
$635$	4.72010	+	17.6157i	0.187312	+	0.699056i
$636$	−3.06472	+	5.91549i	−0.121524	+	0.234564i
$637$	−13.0064	−	5.96822i	−0.515332	−	0.236469i
$638$	0.120441	−	0.0732465i	0.00476829	−	0.00289986i
$639$	3.52017	+	2.03237i	0.139256	+	0.0803994i
$640$	38.4401	−	17.2291i	1.51948	−	0.681039i
$641$	7.74217	+	13.4098i	0.305797	+	0.529656i	0.977439	−	0.211220i	$-0.0677437\pi$
$641$	7.74217	+	13.4098i	0.305797	+	0.529656i	−0.671641	+	0.740877i	$0.734410\pi$
$642$	−0.274101	−	12.0228i	−0.0108179	−	0.474500i
$643$	9.10301	+	9.10301i	0.358988	+	0.358988i	0.863440	−	0.504452i	$-0.168305\pi$
$643$	9.10301	+	9.10301i	0.358988	+	0.358988i	−0.504452	+	0.863440i	$0.668305\pi$
$644$	2.10967	+	4.00344i	0.0831326	+	0.157758i
$645$	−33.6298	+	33.6298i	−1.32417	+	1.32417i
$646$	1.84823	−	1.93447i	0.0727178	−	0.0761109i
$647$	−27.0789	+	15.6340i	−1.06458	+	0.614636i	−0.926696	−	0.375813i	$-0.877364\pi$
$647$	−27.0789	+	15.6340i	−1.06458	+	0.614636i	−0.137885	+	0.990448i	$0.544030\pi$
$648$	−1.57828	−	2.34713i	−0.0620008	−	0.0922040i
$649$	−24.6443	+	42.6852i	−0.967374	+	1.67554i
$650$	−6.06621	+	24.8960i	−0.237937	+	0.976502i
$651$	−6.02158	+	16.7032i	−0.236004	+	0.654650i
$652$	−2.10543	−	6.63230i	−0.0824548	−	0.259741i
$653$	8.20244	−	2.19784i	0.320986	−	0.0860080i	−0.0947282	−	0.995503i	$-0.530198\pi$
$653$	8.20244	−	2.19784i	0.320986	−	0.0860080i	0.415715	+	0.909495i	$0.363532\pi$
$654$	22.4391	+	12.2820i	0.877438	+	0.480263i
$655$	52.1330	−	30.0990i	2.03701	−	1.17607i
$656$	15.5021	−	1.41739i	0.605256	−	0.0553396i
$657$		−	15.2256i		−	0.594008i
$658$	20.4533	+	41.0560i	0.797353	+	1.60053i
$659$	−19.3063	+	19.3063i	−0.752068	+	0.752068i	−0.974865	−	0.222797i	$-0.928481\pi$
$659$	−19.3063	+	19.3063i	−0.752068	+	0.752068i	0.222797	+	0.974865i	$0.428481\pi$
$660$	−44.3220	−	9.73503i	−1.72523	−	0.378936i
$661$	−3.65721	+	13.6489i	−0.142249	+	0.530881i	0.857613	+	0.514295i	$0.171946\pi$
$661$	−3.65721	+	13.6489i	−0.142249	+	0.530881i	−0.999862	+	0.0165860i	$0.994720\pi$
$662$	30.1723	−	8.82644i	1.17268	−	0.343049i
$663$	1.89496	+	1.09406i	0.0735943	+	0.0424897i
$664$	14.9965	+	13.0739i	0.581977	+	0.507367i
$665$	−1.46440	+	17.3503i	−0.0567868	+	0.672814i
$666$	1.49980	−	6.15523i	0.0581159	−	0.238510i
$667$	−0.0135119	+	0.00362050i	−0.000523183	+	0.000140186i
$668$	−1.73704	−	38.0756i	−0.0672079	−	1.47319i
$669$	5.96373	−	22.2569i	0.230571	−	0.860503i
$670$	−25.1458	+	0.573287i	−0.971467	+	0.0221480i
$671$	−54.3225			−2.09710
$672$	10.8933	+	10.2633i	0.420219	+	0.395915i
$673$	25.3087			0.975577			0.487789	−	0.872962i	$-0.337804\pi$
$673$	25.3087			0.975577			0.487789	+	0.872962i	$0.337804\pi$
$674$	−27.9410	+	0.637013i	−1.07625	+	0.0245368i
$675$	2.29394	−	8.56112i	0.0882940	−	0.329518i
$676$	0.803977	+	17.6231i	0.0309222	+	0.677810i
$677$	−17.3770	+	4.65616i	−0.667853	+	0.178951i	−0.576788	−	0.816894i	$-0.695694\pi$
$677$	−17.3770	+	4.65616i	−0.667853	+	0.178951i	−0.0910656	+	0.995845i	$0.529027\pi$
$678$	−1.71189	+	7.02566i	−0.0657447	+	0.269819i
$679$	2.66444	+	1.85352i	0.102252	+	0.0711316i
$680$	7.40712	−	8.49636i	0.284050	−	0.325821i
$681$	−15.5887	−	9.00013i	−0.597360	−	0.344886i
$682$	55.5082	−	16.2381i	2.12552	−	0.621788i
$683$	−7.27904	+	27.1657i	−0.278525	+	1.03947i	0.674918	+	0.737893i	$0.264179\pi$
$683$	−7.27904	+	27.1657i	−0.278525	+	1.03947i	−0.953442	+	0.301575i	$0.902488\pi$
$684$	3.45276	+	0.758377i	0.132020	+	0.0289973i
$685$	−40.2703	+	40.2703i	−1.53865	+	1.53865i
$686$	−25.5030	−	5.96632i	−0.973709	−	0.227795i
$687$			8.30346i			0.316797i
$688$	−39.2683	−	32.6891i	−1.49709	−	1.24626i
$689$	5.89757	−	3.40497i	0.224680	−	0.129719i
$690$	3.95011	+	2.16208i	0.150378	+	0.0823091i
$691$	−11.8468	+	3.17434i	−0.450674	+	0.120758i	−0.477015	−	0.878895i	$-0.658281\pi$
$691$	−11.8468	+	3.17434i	−0.450674	+	0.120758i	0.0263409	+	0.999653i	$0.491614\pi$
$692$	−0.699556	−	2.20367i	−0.0265931	−	0.0837710i
$693$	−2.84832	−	15.8691i	−0.108199	−	0.602819i
$694$	7.68100	−	31.5231i	0.291567	−	1.19660i
$695$	−21.5565	+	37.3369i	−0.817684	+	1.41627i
$696$	−0.0383922	+	0.0258161i	−0.00145525	+	0.000978556i
$697$	3.60734	−	2.08270i	0.136638	−	0.0788879i
$698$	−4.29367	+	4.49402i	−0.162518	+	0.170101i
$699$	−7.40462	+	7.40462i	−0.280069	+	0.280069i
$700$	−1.81048	+	46.8643i	−0.0684298	+	1.77130i
$701$	11.8827	+	11.8827i	0.448803	+	0.448803i	0.894956	−	0.446154i	$-0.147206\pi$
$701$	11.8827	+	11.8827i	0.448803	+	0.448803i	−0.446154	+	0.894956i	$0.647206\pi$
$702$	0.0658963	+	2.89038i	0.00248709	+	0.109090i
$703$	3.95905	+	6.85728i	0.149318	+	0.258627i
$704$	6.07951	−	48.3700i	0.229130	−	1.82301i
$705$	39.5288	+	22.8219i	1.48874	+	0.859524i
$706$	−1.74020	+	1.05831i	−0.0654931	+	0.0398299i
$707$	12.6958	+	15.0365i	0.477475	+	0.565505i
$708$	7.44144	−	14.3634i	0.279667	−	0.539810i
$709$	3.77223	+	14.0782i	0.141669	+	0.528717i	0.999881	+	0.0154210i	$0.00490887\pi$
$709$	3.77223	+	14.0782i	0.141669	+	0.528717i	−0.858212	+	0.513296i	$0.828424\pi$
$710$	−20.5423	+	6.00933i	−0.770938	+	0.225526i
$711$	−0.932851	−	1.61574i	−0.0349846	−	0.0605952i
$712$	−0.644929	+	1.31752i	−0.0241697	+	0.0493760i
$713$	−5.73918			−0.214934
$714$	3.79745	+	1.27197i	0.142116	+	0.0476021i
$715$	32.7987	+	32.7987i	1.22660	+	1.22660i
$716$	34.3142	+	7.53689i	1.28238	+	0.281667i
$717$	17.2750	+	4.62883i	0.645148	+	0.172867i
$718$	−7.61517	+	13.9129i	−0.284195	+	0.519223i
$719$	−3.93029	+	6.80746i	−0.146575	+	0.253876i	−0.929959	−	0.367662i	$-0.880158\pi$
$719$	−3.93029	+	6.80746i	−0.146575	+	0.253876i	0.783384	+	0.621538i	$0.213492\pi$
$720$	14.6770	+	2.52880i	0.546981	+	0.0942427i
$721$	5.05020	−	2.37382i	0.188079	−	0.0884055i
$722$	19.1829	−	11.6662i	0.713914	−	0.434170i
$723$	−1.31656	−	4.91348i	−0.0489635	−	0.182734i
$724$	5.90107	+	5.38614i	0.219312	+	0.200174i
$725$	−0.140035	−	0.0375222i	−0.00520076	−	0.00139354i
$726$	−25.5322	+	26.7235i	−0.947587	+	0.991802i
$727$		−	34.4799i		−	1.27879i	−0.768879	−	0.639394i	$-0.779185\pi$
$727$		−	34.4799i		−	1.27879i	0.768879	−	0.639394i	$-0.220815\pi$
$728$	−3.72528	−	14.8379i	−0.138068	−	0.549929i
$729$		−	1.00000i		−	0.0370370i
$730$	57.9672	+	55.3830i	2.14546	+	2.04982i
$731$	−13.2060	−	3.53853i	−0.488440	−	0.130877i
$732$	17.8102	−	0.812515i	0.658284	−	0.0300314i
$733$	−11.0882	−	41.3817i	−0.409552	−	1.52847i	−0.795504	−	0.605949i	$-0.792794\pi$
$733$	−11.0882	−	41.3817i	−0.409552	−	1.52847i	0.385952	−	0.922519i	$-0.373873\pi$
$734$	−7.40713	−	12.1797i	−0.273402	−	0.449561i
$735$	−24.4364	+	9.06408i	−0.901349	+	0.334333i
$736$	−1.92671	+	4.43751i	−0.0710193	+	0.163569i
$737$	−14.5543	+	25.2088i	−0.536116	+	0.928580i
$738$	4.82782	+	2.64249i	0.177714	+	0.0972714i
$739$	−10.5255	−	2.82029i	−0.387185	−	0.103746i	0.0599749	−	0.998200i	$-0.480898\pi$
$739$	−10.5255	−	2.82029i	−0.387185	−	0.103746i	−0.447160	+	0.894454i	$0.647565\pi$
$740$	17.9788	+	28.0996i	0.660914	+	1.03296i
$741$	−2.55508	−	2.55508i	−0.0938633	−	0.0938633i
$742$	9.33758	−	8.25584i	0.342793	−	0.303082i
$743$	25.1019			0.920901			0.460450	−	0.887685i	$-0.347688\pi$
$743$	25.1019			0.920901			0.460450	+	0.887685i	$0.347688\pi$
$744$	−17.9561	+	6.15408i	−0.658302	+	0.225619i
$745$	16.7237	+	28.9663i	0.612710	+	1.06124i
$746$	−7.18115	−	24.5480i	−0.262921	−	0.898767i
$747$	1.82055	+	6.79437i	0.0666103	+	0.248593i
$748$	−3.94697	−	12.4334i	−0.144316	−	0.454608i
$749$	−7.63007	+	21.1650i	−0.278797	+	0.773353i
$750$	10.5696	+	17.3799i	0.385949	+	0.634624i
$751$	−1.78780	−	1.03219i	−0.0652377	−	0.0376650i	0.467026	−	0.884243i	$-0.345325\pi$
$751$	−1.78780	−	1.03219i	−0.0652377	−	0.0376650i	−0.532264	+	0.846578i	$0.678659\pi$
$752$	−20.5494	+	44.5221i	−0.749358	+	1.62356i
$753$	8.84160	+	15.3141i	0.322206	+	0.558077i
$754$	0.0472781	−	0.00107787i	0.00172177	−	3.92537e-5i
$755$	11.5021	+	11.5021i	0.418606	+	0.418606i
$756$	1.17121	+	5.16026i	0.0425965	+	0.187677i
$757$	−32.0160	+	32.0160i	−1.16364	+	1.16364i	−0.179969	+	0.983672i	$0.557600\pi$
$757$	−32.0160	+	32.0160i	−1.16364	+	1.16364i	−0.983672	+	0.179969i	$0.942400\pi$
$758$	−25.6064	−	24.4648i	−0.930066	−	0.888603i
$759$	4.51323	−	2.60571i	0.163820	−	0.0945814i
$760$	−15.4467	+	10.3868i	−0.560311	+	0.376770i
$761$	19.7624	−	34.2294i	0.716385	−	1.24082i	−0.246038	−	0.969260i	$-0.579129\pi$
$761$	19.7624	−	34.2294i	0.716385	−	1.24082i	0.962423	−	0.271555i	$-0.0875379\pi$
$762$	−6.73001	−	1.63985i	−0.243802	−	0.0594054i
$763$	−30.8739	−	36.5659i	−1.11771	−	1.32377i
$764$	17.7353	+	9.18839i	0.641642	+	0.332424i
$765$	3.84939	−	1.03144i	0.139175	−	0.0372919i
$766$	−12.9813	+	23.7167i	−0.469032	+	0.856919i
$767$	−14.3199	+	8.26760i	−0.517062	+	0.298526i
$768$	−1.26975	+	15.9495i	−0.0458181	+	0.575529i
$769$			28.3383i			1.02190i	0.859609	+	0.510952i	$0.170707\pi$
$769$			28.3383i			1.02190i	−0.859609	+	0.510952i	$0.829293\pi$
$770$	70.7780	+	46.8796i	2.55066	+	1.68942i
$771$	−8.96725	+	8.96725i	−0.322948	+	0.322948i
$772$	−17.8100	−	27.8357i	−0.640995	−	1.00183i
$773$	5.26334	−	19.6430i	0.189309	−	0.706511i	−0.804358	−	0.594145i	$-0.797490\pi$
$773$	5.26334	−	19.6430i	0.189309	−	0.706511i	0.993667	−	0.112366i	$-0.0358429\pi$
$774$	−5.07190	−	17.3378i	−0.182306	−	0.623193i
$775$	−51.5110	−	29.7399i	−1.85033	−	1.06829i
$776$	0.237095	+	3.46173i	0.00851123	+	0.124269i
$777$	−6.76842	+	9.72962i	−0.242816	+	0.349048i
$778$	−22.6335	−	5.51493i	−0.811450	−	0.197720i
$779$	−6.64432	+	1.78034i	−0.238057	+	0.0637873i
$780$	−11.2440	−	10.2628i	−0.402599	−	0.367468i
$781$	−6.41090	+	23.9258i	−0.229400	+	0.856132i
$782$	0.0295049	+	1.29416i	0.00105509	+	0.0462790i
$783$	−0.0163571			−0.000584554
$784$	−12.0875	−	25.2565i	−0.431696	−	0.902019i
$785$	1.48059			0.0528444
$786$	0.521148	+	22.8588i	0.0185887	+	0.815348i
$787$	8.85411	−	33.0440i	0.315615	−	1.17789i	−0.607800	−	0.794090i	$-0.707948\pi$
$787$	8.85411	−	33.0440i	0.315615	−	1.17789i	0.923416	−	0.383802i	$-0.125385\pi$
$788$	−25.0349	+	27.4283i	−0.891832	+	0.977093i
$789$	26.6022	−	7.12804i	0.947063	−	0.253765i
$790$	9.54473	+	2.32569i	0.339586	+	0.0827443i
$791$	7.72556	−	11.1055i	0.274689	−	0.394867i
$792$	11.3264	−	12.9919i	0.402465	−	0.461648i
$793$	−15.7824	−	9.11197i	−0.560450	−	0.323576i
$794$	−4.70415	−	16.0806i	−0.166944	−	0.570681i
$795$	3.21009	−	11.9802i	0.113850	−	0.424895i
$796$	0.863681	−	0.552603i	0.0306123	−	0.0195865i
$797$	−14.0609	+	14.0609i	−0.498064	+	0.498064i	−0.910835	−	0.412771i	$-0.864561\pi$
$797$	−14.0609	+	14.0609i	−0.498064	+	0.498064i	0.412771	+	0.910835i	$0.364561\pi$
$798$	−5.51374	−	3.65201i	−0.195184	−	0.129280i
$799$			13.1211i			0.464191i
$800$	−40.2876	+	29.8441i	−1.42438	+	1.05515i
$801$	−0.449143	+	0.259313i	−0.0158697	+	0.00916237i
$802$	16.3411	−	29.8550i	0.577023	−	1.05422i
$803$	89.6206	−	24.0138i	3.16264	−	0.847428i
$804$	4.39473	−	8.48267i	0.154990	−	0.299161i
$805$	−5.43494	−	6.43695i	−0.191557	−	0.226873i
$806$	18.8506	+	4.59319i	0.663985	+	0.161788i
$807$	7.64408	−	13.2399i	0.269084	−	0.466068i
$808$	−4.04379	+	20.6459i	−0.142260	+	0.726320i
$809$	11.1455	−	6.43486i	0.391855	−	0.226238i	−0.291109	−	0.956690i	$-0.594024\pi$
$809$	11.1455	−	6.43486i	0.391855	−	0.226238i	0.682964	+	0.730452i	$0.260691\pi$
$810$	3.80722	+	3.63749i	0.133772	+	0.127808i
$811$	18.2861	−	18.2861i	0.642112	−	0.642112i	−0.308962	−	0.951074i	$-0.599982\pi$
$811$	18.2861	−	18.2861i	0.642112	−	0.642112i	0.951074	+	0.308962i	$0.0999816\pi$
$812$	0.0844067	−	0.0191576i	0.00296210	−	0.000672299i
$813$	−7.90459	−	7.90459i	−0.277226	−	0.277226i
$814$	38.5962	−	0.879937i	1.35280	−	0.0308418i
$815$	6.47715	+	11.2187i	0.226885	+	0.392976i
$816$	1.48003	+	4.01737i	0.0518112	+	0.140636i
$817$	19.5527	+	11.2888i	0.684063	+	0.394944i
$818$	20.3993	+	33.5430i	0.713244	+	1.17280i
$819$	1.83434	−	5.08826i	0.0640969	−	0.177798i
$820$	−27.6217	+	8.76851i	−0.964591	+	0.306210i
$821$	−8.93561	−	33.3482i	−0.311855	−	1.16386i	−0.926882	−	0.375353i	$-0.877522\pi$
$821$	−8.93561	−	33.3482i	−0.311855	−	1.16386i	0.615027	−	0.788506i	$-0.289145\pi$
$822$	−6.07340	−	20.7613i	−0.211834	−	0.724133i
$823$	25.8682	+	44.8050i	0.901708	+	1.56180i	0.825276	+	0.564729i	$0.191019\pi$
$823$	25.8682	+	44.8050i	0.901708	+	1.56180i	0.0764317	+	0.997075i	$0.475647\pi$
$824$	5.35808	+	2.62280i	0.186658	+	0.0913695i
$825$	54.0102			1.88040
$826$	−22.6726	+	20.0460i	−0.788880	+	0.697490i
$827$	−25.4420	−	25.4420i	−0.884704	−	0.884704i	0.109305	−	0.994008i	$-0.465138\pi$
$827$	−25.4420	−	25.4420i	−0.884704	−	0.884704i	−0.994008	+	0.109305i	$0.965138\pi$
$828$	−1.44073	+	0.921816i	−0.0500690	+	0.0320353i
$829$	−13.7286	−	3.67857i	−0.476815	−	0.127762i	0.0124043	−	0.999923i	$-0.496051\pi$
$829$	−13.7286	−	3.67857i	−0.476815	−	0.127762i	−0.489219	+	0.872161i	$0.662718\pi$
$830$	−32.4899	−	17.7832i	−1.12774	−	0.617265i
$831$	−2.37037	+	4.10560i	−0.0822273	+	0.142422i
$832$	9.87979	−	13.0332i	0.342520	−	0.451846i
$833$	−5.76885	−	4.78071i	−0.199879	−	0.165642i
$834$	−8.50882	−	13.9912i	−0.294636	−	0.484477i
$835$	18.3652	+	68.5397i	0.635553	+	2.37191i
$836$	0.981744	+	21.5197i	0.0339543	+	0.744274i
$837$	−6.48227	−	1.73692i	−0.224060	−	0.0600367i
$838$	−24.9368	−	23.8251i	−0.861427	−	0.823024i
$839$			30.7916i			1.06304i	0.847045	+	0.531522i	$0.178380\pi$
$839$			30.7916i			1.06304i	−0.847045	+	0.531522i	$0.821620\pi$
$840$	−23.9065	−	14.3113i	−0.824852	−	0.493788i
$841$		−	28.9997i		−	0.999991i
$842$	−39.4690	+	41.3106i	−1.36019	+	1.42366i
$843$	19.4240	+	5.20464i	0.668997	+	0.179257i
$844$	−7.20953	+	7.89878i	−0.248162	+	0.271887i
$845$	−8.50021	−	31.7232i	−0.292416	−	1.09131i
$846$	−14.8126	+	9.00832i	−0.509267	+	0.309713i
$847$	62.5775	−	29.4141i	2.15019	−	1.01068i
$848$	13.1310	+	2.26242i	0.450921	+	0.0776920i
$849$	1.34326	−	2.32659i	0.0461004	−	0.0798483i
$850$	−6.44139	+	11.7684i	−0.220938	+	0.403652i
$851$	−3.70053	−	0.991555i	−0.126853	−	0.0339901i
$852$	1.74402	−	7.94021i	0.0597490	−	0.272027i
$853$	−26.1762	−	26.1762i	−0.896256	−	0.896256i	0.0988470	−	0.995103i	$-0.468485\pi$
$853$	−26.1762	−	26.1762i	−0.896256	−	0.896256i	−0.995103	+	0.0988470i	$0.968485\pi$
$854$	−31.6275	−	10.5937i	−1.08227	−	0.362509i
$855$	−6.58110			−0.225069
$856$	−22.7525	+	7.79797i	−0.777666	+	0.266529i
$857$	−18.4227	−	31.9090i	−0.629306	−	1.08999i	−0.987691	−	0.156416i	$-0.950006\pi$
$857$	−18.4227	−	31.9090i	−0.629306	−	1.08999i	0.358385	−	0.933574i	$-0.383327\pi$
$858$	−16.9093	+	4.94657i	−0.577275	+	0.168873i
$859$	−3.37518	−	12.5964i	−0.115160	−	0.429782i	0.884139	−	0.467224i	$-0.154746\pi$
$859$	−3.37518	−	12.5964i	−0.115160	−	0.429782i	−0.999299	+	0.0374418i	$0.988079\pi$
$860$	84.4576	+	43.7561i	2.87998	+	1.49207i
$861$	−6.64257	−	7.86722i	−0.226378	−	0.268114i
$862$	−32.6248	+	19.8409i	−1.11121	+	0.675784i
$863$	11.6723	+	6.73900i	0.397329	+	0.229398i	0.685331	−	0.728232i	$-0.259658\pi$
$863$	11.6723	+	6.73900i	0.397329	+	0.229398i	−0.288002	+	0.957630i	$0.592991\pi$
$864$	−3.51914	+	4.42895i	−0.119724	+	0.150676i
$865$	2.15212	+	3.72758i	0.0731743	+	0.126742i
$866$	0.696125	+	30.5338i	0.0236553	+	1.03758i
$867$	−11.2107	−	11.2107i	−0.380737	−	0.380737i
$868$	35.4845	+	1.37085i	1.20442	+	0.0465297i
$869$	8.03927	−	8.03927i	0.272714	−	0.272714i
$870$	0.0594987	−	0.0622749i	0.00201719	−	0.00211132i
$871$	−8.45698	+	4.88264i	−0.286554	+	0.165442i
$872$	9.83375	−	50.2070i	0.333013	−	1.70022i
$873$	−0.613386	+	1.06242i	−0.0207600	+	0.0359573i
$874$	0.506074	−	2.07695i	0.0171182	−	0.0702538i
$875$	−6.72308	−	37.4570i	−0.227282	−	1.26628i
$876$	−29.0239	+	9.21364i	−0.980626	+	0.311300i
$877$	54.3039	−	14.5507i	1.83371	−	0.491341i	0.835411	−	0.549625i	$-0.185230\pi$
$877$	54.3039	−	14.5507i	1.83371	−	0.491341i	0.998300	+	0.0582840i	$0.0185629\pi$
$878$	4.27554	+	2.34021i	0.144293	+	0.0789781i
$879$	13.8291	−	7.98423i	0.466444	−	0.269301i
$880$	8.26360	+	90.3800i	0.278566	+	3.04671i
$881$		−	49.1147i		−	1.65472i	−0.561675	−	0.827358i	$-0.689843\pi$
$881$		−	49.1147i		−	1.65472i	0.561675	−	0.827358i	$-0.310157\pi$
$882$	1.43638	−	9.79473i	0.0483654	−	0.329806i
$883$	−9.81626	+	9.81626i	−0.330343	+	0.330343i	−0.852717	−	0.522373i	$-0.825047\pi$
$883$	−9.81626	+	9.81626i	−0.330343	+	0.330343i	0.522373	+	0.852717i	$0.325047\pi$
$884$	0.938831	−	4.27434i	0.0315763	−	0.143762i
$885$	−7.79442	+	29.0892i	−0.262007	+	0.977822i
$886$	3.08071	−	0.901216i	0.103499	−	0.0302769i
$887$	12.8802	+	7.43639i	0.432475	+	0.249689i	0.700400	−	0.713750i	$-0.253005\pi$
$887$	12.8802	+	7.43639i	0.432475	+	0.249689i	−0.267926	+	0.963440i	$0.586338\pi$
$888$	−12.6410	+	0.865790i	−0.424205	+	0.0290540i
$889$	10.6382	+	7.40045i	0.356793	+	0.248203i
$890$	0.646493	−	2.65323i	0.0216705	−	0.0889366i
$891$	5.88618	−	1.57720i	0.197194	−	0.0528381i
$892$	−46.0363	+	2.10021i	−1.54141	+	0.0703202i
$893$	5.60811	−	20.9297i	0.187668	−	0.700387i
$894$	−12.7009	+	0.289562i	−0.424782	+	0.00968439i
$895$	−65.4042			−2.18622
$896$	12.9725	−	26.9762i	0.433379	−	0.901212i
$897$	1.74831			0.0583745
$898$	−21.3233	+	0.486139i	−0.711567	+	0.0162227i
$899$	−0.0284109	+	0.106031i	−0.000947556	+	0.00353633i
$900$	−17.7078	+	0.807844i	−0.590261	+	0.0269281i
$901$	3.44392	−	0.922794i	0.114733	−	0.0307427i
$902$	−7.93976	+	32.5851i	−0.264365	+	1.08497i
$903$	−2.84229	+	33.6757i	−0.0945855	+	1.12066i
$904$	14.4286	−	0.988224i	0.479889	−	0.0328678i
$905$	−12.8811	−	7.43693i	−0.428184	−	0.247212i
$906$	−5.92991	+	1.73470i	−0.197008	+	0.0576317i
$907$	6.57763	−	24.5480i	0.218407	−	0.815104i	−0.766533	−	0.642205i	$-0.778020\pi$
$907$	6.57763	−	24.5480i	0.218407	−	0.815104i	0.984939	−	0.172899i	$-0.0553135\pi$
$908$	−7.72318	+	35.1623i	−0.256303	+	1.16690i
$909$	−5.25954	+	5.25954i	−0.174448	+	0.174448i
$910$	12.6997	+	25.4922i	0.420992	+	0.845058i
$911$		−	5.90668i		−	0.195697i	−0.995201	−	0.0978486i	$-0.968804\pi$
$911$		−	5.90668i		−	0.195697i	0.995201	−	0.0978486i	$-0.0311961\pi$
$912$	−0.643750	−	7.04077i	−0.0213167	−	0.233143i
$913$	−37.1215	+	21.4321i	−1.22854	+	0.709299i
$914$	4.64623	+	2.54310i	0.153684	+	0.0841183i
$915$	−32.0601	+	8.59047i	−1.05987	+	0.283992i
$916$	15.8285	−	5.02477i	0.522989	−	0.166023i
$917$	14.5070	−	40.2410i	0.479065	−	1.32888i
$918$	−0.358341	+	1.47065i	−0.0118270	+	0.0485386i
$919$	15.0645	−	26.0924i	0.496931	−	0.860710i	−0.503063	−	0.864250i	$-0.667793\pi$
$919$	15.0645	−	26.0924i	0.496931	−	0.860710i	0.999994	+	0.00354001i	$0.00112682\pi$
$920$	1.73110	−	8.83828i	0.0570728	−	0.291390i
$921$	−23.7441	+	13.7086i	−0.782393	+	0.451715i
$922$	−18.4549	+	19.3160i	−0.607781	+	0.636140i
$923$	−5.87584	+	5.87584i	−0.193406	+	0.193406i
$924$	−28.5270	+	15.0327i	−0.938468	+	0.494539i
$925$	−28.0753	−	28.0753i	−0.923112	−	0.923112i
$926$	−0.324084	−	14.2151i	−0.0106501	−	0.467138i
$927$	1.05457	+	1.82658i	0.0346368	+	0.0599926i
$928$	0.0724447	+	0.0575629i	0.00237811	+	0.00188959i
$929$	−18.6175	−	10.7488i	−0.610820	−	0.352657i	0.162466	−	0.986714i	$-0.448055\pi$
$929$	−18.6175	−	10.7488i	−0.610820	−	0.352657i	−0.773287	+	0.634057i	$0.781389\pi$
$930$	30.1920	−	18.3614i	0.990035	−	0.602093i
$931$	7.15869	+	10.0915i	0.234617	+	0.330735i
$932$	18.5959	+	9.63425i	0.609130	+	0.315580i
$933$	−3.77088	−	14.0731i	−0.123453	−	0.460734i
$934$	31.5158	−	9.21947i	1.03123	−	0.301670i
$935$	12.1425	+	21.0314i	0.397102	+	0.687801i
$936$	5.46991	−	1.87470i	0.178790	−	0.0612765i
$937$	−30.3360			−0.991034			−0.495517	−	0.868598i	$-0.665021\pi$
$937$	−30.3360			−0.991034			−0.495517	+	0.868598i	$0.665021\pi$
$938$	−13.3899	+	11.8387i	−0.437195	+	0.386547i
$939$	−4.80620	−	4.80620i	−0.156844	−	0.156844i
$940$	19.5839	−	89.1624i	0.638758	−	2.90816i
$941$	52.2134	+	13.9906i	1.70211	+	0.456079i	0.973469	−	0.228818i	$-0.0734859\pi$
$941$	52.2134	+	13.9906i	1.70211	+	0.456079i	0.728640	+	0.684897i	$0.240153\pi$
$942$	−0.270009	+	0.493304i	−0.00879736	+	0.0160727i
$943$	1.66409	−	2.88228i	0.0541901	−	0.0938600i
$944$	−31.8834	−	5.49340i	−1.03772	−	0.178795i
$945$	−4.19054	−	8.91522i	−0.136318	−	0.290012i
$946$	94.0538	−	57.1992i	3.05795	−	1.85970i
$947$	−13.1252	−	48.9840i	−0.426512	−	1.59176i	−0.760599	−	0.649222i	$-0.775094\pi$
$947$	−13.1252	−	48.9840i	−0.426512	−	1.59176i	0.334087	−	0.942542i	$-0.391572\pi$
$948$	−2.51551	+	2.75600i	−0.0817001	+	0.0895108i
$949$	30.0656	+	8.05607i	0.975972	+	0.261511i
$950$	15.3047	−	16.0189i	0.496551	−	0.519721i
$951$		−	26.5698i		−	0.861584i
$952$	0.126696	−	8.00862i	0.00410625	−	0.259561i
$953$			49.8385i			1.61443i	0.590260	+	0.807213i	$0.299025\pi$
$953$			49.8385i			1.61443i	−0.590260	+	0.807213i	$0.700975\pi$
$954$	3.40618	+	3.25433i	0.110279	+	0.105363i
$955$	−35.9181	−	9.62423i	−1.16228	−	0.311433i
$956$	−1.63011	−	35.7317i	−0.0527214	−	1.15565i
$957$	−0.0257983	−	0.0962806i	−0.000833941	−	0.00311231i
$958$	−7.79277	−	12.8138i	−0.251773	−	0.413996i
$959$	−3.40353	+	40.3253i	−0.109906	+	1.30217i
$960$	−4.06114	−	29.5084i	−0.131073	−	0.952380i
$961$	−7.01833	+	12.1561i	−0.226398	+	0.392132i
$962$	11.3610	+	6.21842i	0.366294	+	0.200490i
$963$	−8.21383	−	2.20089i	−0.264687	−	0.0709226i
$964$	−8.56963	+	5.48305i	−0.276009	+	0.176597i
$965$	43.5012	+	43.5012i	1.40035	+	1.40035i
$966$	3.13583	−	0.636942i	0.100894	−	0.0204933i
$967$	−12.5430			−0.403357			−0.201678	−	0.979452i	$-0.564640\pi$
$967$	−12.5430			−0.403357			−0.201678	+	0.979452i	$0.564640\pi$
$968$	66.3923	+	32.4993i	2.13393	+	1.04457i
$969$	−0.945923	−	1.63839i	−0.0303874	−	0.0526326i
$970$	−1.81366	−	6.19982i	−0.0582332	−	0.199064i
$971$	−1.19328	−	4.45340i	−0.0382943	−	0.142916i	0.944132	−	0.329568i	$-0.106903\pi$
$971$	−1.19328	−	4.45340i	−0.0382943	−	0.142916i	−0.982426	+	0.186652i	$0.940236\pi$
$972$	−1.90625	+	0.605141i	−0.0611431	+	0.0194099i
$973$	5.41224	+	30.1538i	0.173508	+	0.966685i
$974$	−0.712236	−	1.17114i	−0.0228215	−	0.0375259i
$975$	15.6917	+	9.05959i	0.502536	+	0.290139i
$976$	−12.3265	−	33.4591i	−0.394563	−	1.07100i
$977$	−8.58787	−	14.8746i	−0.274750	−	0.475882i	0.695322	−	0.718699i	$-0.255262\pi$
$977$	−8.58787	−	14.8746i	−0.274750	−	0.475882i	−0.970072	+	0.242817i	$0.921929\pi$
$978$	−4.91910	+	0.112148i	−0.157295	+	0.00358610i
$979$	−2.23475	−	2.23475i	−0.0714229	−	0.0714229i
$980$	32.0659	+	41.0969i	1.02431	+	1.31279i
$981$	12.7902	−	12.7902i	0.408361	−	0.408361i
$982$	−21.8883	−	20.9125i	−0.698484	−	0.667345i
$983$	−19.7882	+	11.4247i	−0.631146	+	0.364392i	−0.781196	−	0.624286i	$-0.785390\pi$
$983$	−19.7882	+	11.4247i	−0.631146	+	0.364392i	0.150050	+	0.988678i	$0.452057\pi$
$984$	2.11575	−	10.8021i	0.0674476	−	0.344359i
$985$	34.5670	−	59.8718i	1.10140	−	1.90768i
$986$	0.0240555	+	0.00586142i	0.000766083	+	0.000186666i
$987$	31.9239	−	5.72996i	1.01615	−	0.182387i
$988$	−3.32445	+	6.41682i	−0.105765	+	0.204146i
$989$	−10.5516	+	2.82730i	−0.335522	+	0.0899029i
$990$	−15.4062	+	28.1470i	−0.489640	+	0.894570i
$991$	−21.0711	+	12.1654i	−0.669344	+	0.386446i	−0.795828	−	0.605523i	$-0.792964\pi$
$991$	−21.0711	+	12.1654i	−0.669344	+	0.386446i	0.126484	+	0.991969i	$0.459631\pi$
$992$	22.5972	+	30.5048i	0.717461	+	0.968527i
$993$		−	22.2292i		−	0.705422i
$994$	−8.39842	+	12.6798i	−0.266382	+	0.402178i
$995$	−1.34975	+	1.34975i	−0.0427898	+	0.0427898i
$996$	11.8501	−	7.58197i	0.375485	−	0.240244i
$997$	2.47045	−	9.21985i	0.0782400	−	0.291996i	−0.915708	−	0.401843i	$-0.868370\pi$
$997$	2.47045	−	9.21985i	0.0782400	−	0.291996i	0.993948	+	0.109848i	$0.0350363\pi$
$998$	3.72930	+	12.7482i	0.118049	+	0.403538i
$999$	−3.87957	−	2.23987i	−0.122744	−	0.0708664i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bs.a.19.1	✓	128
7.3	odd	6	inner	336.2.bs.a.115.21	yes	128
16.11	odd	4	inner	336.2.bs.a.187.21	yes	128
112.59	even	12	inner	336.2.bs.a.283.1	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bs.a.19.1	✓	128	1.1	even	1	trivial
336.2.bs.a.115.21	yes	128	7.3	odd	6	inner
336.2.bs.a.187.21	yes	128	16.11	odd	4	inner
336.2.bs.a.283.1	yes	128	112.59	even	12	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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bs (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41385 + 0.0322336i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(1.99792 - 0.0911467i) q^{4} +(-3.59645 + 0.963666i) q^{5} +(0.334795 - 1.37401i) q^{6} +(-1.51089 + 2.17191i) q^{7} +(-2.82182 + 0.193268i) q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(-1.41385 + 0.0322336i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(1.99792 - 0.0911467i) q^{4} +(-3.59645 + 0.963666i) q^{5} +(0.334795 - 1.37401i) q^{6} +(-1.51089 + 2.17191i) q^{7} +(-2.82182 + 0.193268i) q^{8} +(-0.866025 - 0.500000i) q^{9} +(5.05377 - 1.47840i) q^{10} +(1.57720 - 5.88618i) q^{11} +(-0.429059 + 1.95343i) q^{12} +(1.44556 - 1.44556i) q^{13} +(2.06616 - 3.11945i) q^{14} -3.72332i q^{15} +(3.98338 - 0.364208i) q^{16} +(0.926934 - 0.535165i) q^{17} +(1.24054 + 0.679008i) q^{18} +(-1.70731 + 0.457472i) q^{19} +(-7.09760 + 2.25314i) q^{20} +(-1.70686 - 2.02154i) q^{21} +(-2.04018 + 8.37299i) q^{22} +(0.427599 - 0.740624i) q^{23} +(0.543658 - 2.77569i) q^{24} +(7.67569 - 4.43156i) q^{25} +(-1.99721 + 2.09040i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-2.82068 + 4.47702i) q^{28} +(-0.0115662 - 0.0115662i) q^{29} +(0.120016 + 5.26420i) q^{30} +(-3.35547 - 5.81184i) q^{31} +(-5.62015 + 0.643333i) q^{32} +(5.27740 + 3.04691i) q^{33} +(-1.29329 + 0.786520i) q^{34} +(3.34085 - 9.26718i) q^{35} +(-1.77582 - 0.920026i) q^{36} +(-1.15944 - 4.32710i) q^{37} +(2.39912 - 0.701827i) q^{38} +(1.02217 + 1.77045i) q^{39} +(9.96228 - 3.41437i) q^{40} +3.89169 q^{41} +(2.47840 + 2.80313i) q^{42} +(-9.03220 - 9.03220i) q^{43} +(2.61461 - 11.9039i) q^{44} +(3.59645 + 0.963666i) q^{45} +(-0.580687 + 1.06091i) q^{46} +(-6.12946 + 10.6165i) q^{47} +(-0.679178 + 3.94192i) q^{48} +(-2.43441 - 6.56305i) q^{49} +(-10.7094 + 6.51296i) q^{50} +(0.277022 + 1.03386i) q^{51} +(2.75636 - 3.01988i) q^{52} +(3.21762 + 0.862158i) q^{53} +(-0.976948 + 1.02253i) q^{54} +22.6892i q^{55} +(3.84370 - 6.42074i) q^{56} -1.76753i q^{57} +(0.0167256 + 0.0159800i) q^{58} +(-7.81270 - 2.09341i) q^{59} +(-0.339368 - 7.43891i) q^{60} +(-2.30721 - 8.61062i) q^{61} +(4.93145 + 8.10889i) q^{62} +(2.39443 - 1.12548i) q^{63} +(7.92530 - 1.09073i) q^{64} +(-3.80586 + 6.59194i) q^{65} +(-7.55965 - 4.13775i) q^{66} +(-4.61399 - 1.23631i) q^{67} +(1.80316 - 1.15371i) q^{68} +(0.604717 + 0.604717i) q^{69} +(-4.42474 + 13.2100i) q^{70} -4.06474 q^{71} +(2.54040 + 1.24353i) q^{72} +(7.61280 + 13.1858i) q^{73} +(1.77875 + 6.08048i) q^{74} +(2.29394 + 8.56112i) q^{75} +(-3.36937 + 1.06961i) q^{76} +(10.4013 + 12.3189i) q^{77} +(-1.50226 - 2.47019i) q^{78} +(1.61574 + 0.932851i) q^{79} +(-13.9751 + 5.14851i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-5.50226 + 0.125443i) q^{82} +(-4.97382 - 4.97382i) q^{83} +(-3.59443 - 3.88331i) q^{84} +(-2.81795 + 2.81795i) q^{85} +(13.0613 + 12.4790i) q^{86} +(0.0141656 - 0.00817854i) q^{87} +(-3.31295 + 16.9145i) q^{88} +(0.259313 - 0.449143i) q^{89} +(-5.11589 - 1.24655i) q^{90} +(0.955545 + 5.32373i) q^{91} +(0.786805 - 1.51868i) q^{92} +(6.48227 - 1.73692i) q^{93} +(8.32390 - 15.2077i) q^{94} +(5.69940 - 3.29055i) q^{95} +(0.833191 - 5.59516i) q^{96} -1.22677i q^{97} +(3.65343 + 9.20068i) q^{98} +(-4.30898 + 4.30898i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{4} - 24 q^{8}+O(q^{10}) \) 128 * q + 4 * q^4 - 24 * q^8	\( 128 q + 4 q^{4} - 24 q^{8} + 36 q^{10} - 8 q^{11} - 32 q^{14} - 4 q^{16} + 4 q^{18} + 16 q^{22} + 16 q^{23} - 32 q^{28} + 32 q^{29} - 24 q^{35} - 16 q^{37} + 60 q^{40} - 20 q^{42} - 16 q^{43} - 12 q^{44} - 20 q^{46} - 32 q^{50} - 144 q^{52} - 16 q^{53} - 56 q^{56} - 40 q^{58} - 96 q^{59} - 24 q^{60} - 32 q^{64} - 72 q^{66} + 16 q^{67} - 60 q^{68} + 28 q^{70} + 128 q^{71} - 4 q^{72} - 72 q^{74} + 72 q^{78} - 36 q^{80} + 64 q^{81} - 60 q^{82} + 24 q^{84} - 44 q^{86} - 48 q^{88} - 8 q^{91} + 56 q^{92} + 36 q^{94} + 60 q^{96} + 148 q^{98} - 16 q^{99}+O(q^{100}) \) 128 * q + 4 * q^4 - 24 * q^8 + 36 * q^10 - 8 * q^11 - 32 * q^14 - 4 * q^16 + 4 * q^18 + 16 * q^22 + 16 * q^23 - 32 * q^28 + 32 * q^29 - 24 * q^35 - 16 * q^37 + 60 * q^40 - 20 * q^42 - 16 * q^43 - 12 * q^44 - 20 * q^46 - 32 * q^50 - 144 * q^52 - 16 * q^53 - 56 * q^56 - 40 * q^58 - 96 * q^59 - 24 * q^60 - 32 * q^64 - 72 * q^66 + 16 * q^67 - 60 * q^68 + 28 * q^70 + 128 * q^71 - 4 * q^72 - 72 * q^74 + 72 * q^78 - 36 * q^80 + 64 * q^81 - 60 * q^82 + 24 * q^84 - 44 * q^86 - 48 * q^88 - 8 * q^91 + 56 * q^92 + 36 * q^94 + 60 * q^96 + 148 * q^98 - 16 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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