LMFDB - Embedded newform 75.2.i.a.4.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [75,2,Mod(4,75)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(75, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("75.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	75.i (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:	$0.598878015160$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 20x^{14} + 156x^{12} + 610x^{10} + 1286x^{8} + 1440x^{6} + 761x^{4} + 130x^{2} + 1 $ x^16 + 20x^14 + 156x^12 + 610x^10 + 1286x^8 + 1440x^6 + 761x^4 + 130*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			4.1
Root			$2.35083i$ of defining polynomial
Character	$\chi$	$=$	75.4
Dual form			75.2.i.a.19.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.23577 - 0.726446i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(2.85292 + 2.07277i) q^{4} +(0.725498 - 2.11510i) q^{5} +(1.90186 - 1.38178i) q^{6} -3.48189i q^{7} +(-2.10915 - 2.90300i) q^{8} +(-0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(-2.23577 - 0.726446i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(2.85292 + 2.07277i) q^{4} +(0.725498 - 2.11510i) q^{5} +(1.90186 - 1.38178i) q^{6} -3.48189i q^{7} +(-2.10915 - 2.90300i) q^{8} +(-0.309017 - 0.951057i) q^{9} +(-3.15856 + 4.20185i) q^{10} +(0.905762 - 2.78765i) q^{11} +(-3.35381 + 1.08972i) q^{12} +(1.78394 - 0.579638i) q^{13} +(-2.52940 + 7.78470i) q^{14} +(1.28472 + 1.83017i) q^{15} +(0.427277 + 1.31502i) q^{16} +(3.98851 + 5.48972i) q^{17} +2.35083i q^{18} +(-2.38620 + 1.73367i) q^{19} +(6.45390 - 4.53042i) q^{20} +(2.81691 + 2.04660i) q^{21} +(-4.05015 + 5.57456i) q^{22} +(-5.22149 - 1.69656i) q^{23} +3.58831 q^{24} +(-3.94730 - 3.06900i) q^{25} -4.40956 q^{26} +(0.951057 + 0.309017i) q^{27} +(7.21714 - 9.93354i) q^{28} +(2.06779 + 1.50234i) q^{29} +(-1.54281 - 5.02511i) q^{30} +(-0.338237 + 0.245744i) q^{31} +3.92613i q^{32} +(1.72286 + 2.37132i) q^{33} +(-4.92942 - 15.1712i) q^{34} +(-7.36454 - 2.52610i) q^{35} +(1.08972 - 3.35381i) q^{36} +(4.98314 - 1.61912i) q^{37} +(6.59441 - 2.14265i) q^{38} +(-0.579638 + 1.78394i) q^{39} +(-7.67033 + 2.35495i) q^{40} +(0.518744 + 1.59653i) q^{41} +(-4.81121 - 6.62206i) q^{42} +10.9233i q^{43} +(8.36221 - 6.07550i) q^{44} +(-2.23577 - 0.0363878i) q^{45} +(10.4416 + 7.58626i) q^{46} +(4.40356 - 6.06098i) q^{47} +(-1.31502 - 0.427277i) q^{48} -5.12353 q^{49} +(6.59580 + 9.72910i) q^{50} -6.78566 q^{51} +(6.29089 + 2.04403i) q^{52} +(2.18041 - 3.00107i) q^{53} +(-1.90186 - 1.38178i) q^{54} +(-5.23903 - 3.93821i) q^{55} +(-10.1079 + 7.34383i) q^{56} -2.94950i q^{57} +(-3.53175 - 4.86103i) q^{58} +(2.19666 + 6.76062i) q^{59} +(-0.128318 + 7.88423i) q^{60} +(-1.98917 + 6.12204i) q^{61} +(0.934741 - 0.303716i) q^{62} +(-3.31147 + 1.07596i) q^{63} +(3.70667 - 11.4080i) q^{64} +(0.0682544 - 4.19374i) q^{65} +(-2.12929 - 6.55329i) q^{66} +(5.90225 + 8.12376i) q^{67} +23.9290i q^{68} +(4.44166 - 3.22706i) q^{69} +(14.6304 + 10.9977i) q^{70} +(-0.589451 - 0.428261i) q^{71} +(-2.10915 + 2.90300i) q^{72} +(-3.41685 - 1.11020i) q^{73} -12.3174 q^{74} +(4.80304 - 1.38952i) q^{75} -10.4011 q^{76} +(-9.70628 - 3.15376i) q^{77} +(2.59188 - 3.56741i) q^{78} +(2.48583 + 1.80606i) q^{79} +(3.09140 + 0.0503134i) q^{80} +(-0.809017 + 0.587785i) q^{81} -3.94632i q^{82} +(-5.94559 - 8.18340i) q^{83} +(3.79427 + 11.6776i) q^{84} +(14.5050 - 4.45333i) q^{85} +(7.93517 - 24.4219i) q^{86} +(-2.43084 + 0.789827i) q^{87} +(-10.0029 + 3.25015i) q^{88} +(-0.0888461 + 0.273440i) q^{89} +(4.97224 + 1.70552i) q^{90} +(-2.01823 - 6.21148i) q^{91} +(-11.3799 - 15.6631i) q^{92} -0.418084i q^{93} +(-14.2483 + 10.3520i) q^{94} +(1.93571 + 6.30482i) q^{95} +(-3.17630 - 2.30772i) q^{96} +(6.11828 - 8.42109i) q^{97} +(11.4551 + 3.72197i) q^{98} -2.93111 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9}+O(q^{10}) $ 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9	$ 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9} - 6 q^{11} - 12 q^{14} - 10 q^{16} + 10 q^{17} - 2 q^{19} + 20 q^{20} + 4 q^{21} - 30 q^{22} - 20 q^{23} + 24 q^{24} - 10 q^{25} + 12 q^{26} + 30 q^{28} + 16 q^{29} - 20 q^{30} + 6 q^{31} + 10 q^{33} - 36 q^{34} + 10 q^{35} - 2 q^{36} - 10 q^{37} + 30 q^{38} - 8 q^{39} + 10 q^{40} - 14 q^{41} - 10 q^{42} + 26 q^{44} + 16 q^{46} + 40 q^{47} + 20 q^{50} - 32 q^{51} + 40 q^{52} + 10 q^{53} - 2 q^{54} + 10 q^{55} + 10 q^{58} + 12 q^{59} - 30 q^{60} - 10 q^{62} - 10 q^{63} + 8 q^{64} - 70 q^{65} + 16 q^{66} - 40 q^{67} - 12 q^{69} + 30 q^{70} - 8 q^{71} - 30 q^{72} - 20 q^{73} - 52 q^{74} - 32 q^{76} - 40 q^{77} - 20 q^{79} - 4 q^{81} + 10 q^{83} + 12 q^{84} - 20 q^{85} - 36 q^{86} + 40 q^{87} - 40 q^{88} + 18 q^{89} + 30 q^{90} + 26 q^{91} + 10 q^{92} - 38 q^{94} - 40 q^{95} - 26 q^{96} + 40 q^{97} + 60 q^{98} - 4 q^{99}+O(q^{100}) $ 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9 - 6 * q^11 - 12 * q^14 - 10 * q^16 + 10 * q^17 - 2 * q^19 + 20 * q^20 + 4 * q^21 - 30 * q^22 - 20 * q^23 + 24 * q^24 - 10 * q^25 + 12 * q^26 + 30 * q^28 + 16 * q^29 - 20 * q^30 + 6 * q^31 + 10 * q^33 - 36 * q^34 + 10 * q^35 - 2 * q^36 - 10 * q^37 + 30 * q^38 - 8 * q^39 + 10 * q^40 - 14 * q^41 - 10 * q^42 + 26 * q^44 + 16 * q^46 + 40 * q^47 + 20 * q^50 - 32 * q^51 + 40 * q^52 + 10 * q^53 - 2 * q^54 + 10 * q^55 + 10 * q^58 + 12 * q^59 - 30 * q^60 - 10 * q^62 - 10 * q^63 + 8 * q^64 - 70 * q^65 + 16 * q^66 - 40 * q^67 - 12 * q^69 + 30 * q^70 - 8 * q^71 - 30 * q^72 - 20 * q^73 - 52 * q^74 - 32 * q^76 - 40 * q^77 - 20 * q^79 - 4 * q^81 + 10 * q^83 + 12 * q^84 - 20 * q^85 - 36 * q^86 + 40 * q^87 - 40 * q^88 + 18 * q^89 + 30 * q^90 + 26 * q^91 + 10 * q^92 - 38 * q^94 - 40 * q^95 - 26 * q^96 + 40 * q^97 + 60 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	−2.23577	−	0.726446i	−1.58093	−	0.513675i	−0.618634	−	0.785680i	$-0.712313\pi$
$2$	−2.23577	−	0.726446i	−1.58093	−	0.513675i	−0.962296	+	0.272005i	$0.912313\pi$
$3$	−0.587785	+	0.809017i	−0.339358	+	0.467086i
$3$	−0.587785	+	0.809017i	−0.339358	+	0.467086i
$4$	2.85292	+	2.07277i	1.42646	+	1.03638i
$5$	0.725498	−	2.11510i	0.324453	−	0.945902i
$5$	0.725498	−	2.11510i	0.324453	−	0.945902i
$6$	1.90186	−	1.38178i	0.776432	−	0.564111i
$7$		−	3.48189i		−	1.31603i	−0.753005	−	0.658015i	$-0.771396\pi$
$7$		−	3.48189i		−	1.31603i	0.753005	−	0.658015i	$-0.228604\pi$
$8$	−2.10915	−	2.90300i	−0.745698	−	1.02637i
$9$	−0.309017	−	0.951057i	−0.103006	−	0.317019i
$10$	−3.15856	+	4.20185i	−0.998823	+	1.32874i
$11$	0.905762	−	2.78765i	0.273097	−	0.840508i	−0.716619	−	0.697465i	$-0.754311\pi$
$11$	0.905762	−	2.78765i	0.273097	−	0.840508i	0.989717	−	0.143043i	$-0.0456887\pi$
$12$	−3.35381	+	1.08972i	−0.968160	+	0.314574i
$13$	1.78394	−	0.579638i	0.494776	−	0.160763i	−0.0509914	−	0.998699i	$-0.516238\pi$
$13$	1.78394	−	0.579638i	0.494776	−	0.160763i	0.545768	+	0.837937i	$0.316238\pi$
$14$	−2.52940	+	7.78470i	−0.676012	+	2.08055i
$15$	1.28472	+	1.83017i	0.331712	+	0.472547i
$16$	0.427277	+	1.31502i	0.106819	+	0.328756i
$17$	3.98851	+	5.48972i	0.967356	+	1.33145i	0.943371	+	0.331739i	$0.107635\pi$
$17$	3.98851	+	5.48972i	0.967356	+	1.33145i	0.0239850	+	0.999712i	$0.492365\pi$
$18$			2.35083i			0.554096i
$19$	−2.38620	+	1.73367i	−0.547431	+	0.397732i	−0.826837	−	0.562441i	$-0.809862\pi$
$19$	−2.38620	+	1.73367i	−0.547431	+	0.397732i	0.279406	+	0.960173i	$0.409862\pi$
$20$	6.45390	−	4.53042i	1.44314	−	1.01303i
$21$	2.81691	+	2.04660i	0.614699	+	0.446605i
$22$	−4.05015	+	5.57456i	−0.863496	+	1.18850i
$23$	−5.22149	−	1.69656i	−1.08876	−	0.353758i	−0.290990	−	0.956726i	$-0.593985\pi$
$23$	−5.22149	−	1.69656i	−1.08876	−	0.353758i	−0.797765	+	0.602968i	$0.793985\pi$
$24$	3.58831			0.732460
$25$	−3.94730	−	3.06900i	−0.789461	−	0.613801i
$26$	−4.40956			−0.864786
$27$	0.951057	+	0.309017i	0.183031	+	0.0594703i
$28$	7.21714	−	9.93354i	1.36391	−	1.87726i
$29$	2.06779	+	1.50234i	0.383980	+	0.278978i	0.762984	−	0.646417i	$-0.223733\pi$
$29$	2.06779	+	1.50234i	0.383980	+	0.278978i	−0.379004	+	0.925395i	$0.623733\pi$
$30$	−1.54281	−	5.02511i	−0.281678	−	0.917455i
$31$	−0.338237	+	0.245744i	−0.0607492	+	0.0441369i	−0.617745	−	0.786378i	$-0.711954\pi$
$31$	−0.338237	+	0.245744i	−0.0607492	+	0.0441369i	0.556996	+	0.830515i	$0.311954\pi$
$32$			3.92613i			0.694048i
$33$	1.72286	+	2.37132i	0.299912	+	0.412793i
$34$	−4.92942	−	15.1712i	−0.845388	−	2.60184i
$35$	−7.36454	−	2.52610i	−1.24483	−	0.426989i
$36$	1.08972	−	3.35381i	0.181620	−	0.558968i
$37$	4.98314	−	1.61912i	0.819224	−	0.266182i	0.130724	−	0.991419i	$-0.458270\pi$
$37$	4.98314	−	1.61912i	0.819224	−	0.266182i	0.688500	+	0.725237i	$0.258270\pi$
$38$	6.59441	−	2.14265i	1.06975	−	0.347584i
$39$	−0.579638	+	1.78394i	−0.0928163	+	0.285659i
$40$	−7.67033	+	2.35495i	−1.21279	+	0.372350i
$41$	0.518744	+	1.59653i	0.0810142	+	0.249336i	0.983357	−	0.181683i	$-0.0581543\pi$
$41$	0.518744	+	1.59653i	0.0810142	+	0.249336i	−0.902343	+	0.431019i	$0.858154\pi$
$42$	−4.81121	−	6.62206i	−0.742386	−	1.02181i
$43$			10.9233i			1.66578i	0.553436	+	0.832892i	$0.313316\pi$
$43$			10.9233i			1.66578i	−0.553436	+	0.832892i	$0.686684\pi$
$44$	8.36221	−	6.07550i	1.26065	−	0.915916i
$45$	−2.23577	−	0.0363878i	−0.333289	−	0.00542438i
$46$	10.4416	+	7.58626i	1.53953	+	1.11853i
$47$	4.40356	−	6.06098i	0.642325	−	0.884084i	−0.356412	−	0.934329i	$-0.616000\pi$
$47$	4.40356	−	6.06098i	0.642325	−	0.884084i	0.998737	+	0.0502446i	$0.0160001\pi$
$48$	−1.31502	−	0.427277i	−0.189807	−	0.0616721i
$49$	−5.12353			−0.731933
$50$	6.59580	+	9.72910i	0.932788	+	1.37590i
$51$	−6.78566			−0.950183
$52$	6.29089	+	2.04403i	0.872390	+	0.283457i
$53$	2.18041	−	3.00107i	0.299502	−	0.412229i	−0.632570	−	0.774504i	$-0.718000\pi$
$53$	2.18041	−	3.00107i	0.299502	−	0.412229i	0.932071	+	0.362275i	$0.118000\pi$
$54$	−1.90186	−	1.38178i	−0.258811	−	0.188037i
$55$	−5.23903	−	3.93821i	−0.706431	−	0.531028i
$56$	−10.1079	+	7.34383i	−1.35073	+	0.981361i
$57$		−	2.94950i		−	0.390671i
$58$	−3.53175	−	4.86103i	−0.463741	−	0.638285i
$59$	2.19666	+	6.76062i	0.285981	+	0.880158i	0.986103	+	0.166135i	$0.0531288\pi$
$59$	2.19666	+	6.76062i	0.285981	+	0.880158i	−0.700122	+	0.714023i	$0.746871\pi$
$60$	−0.128318	+	7.88423i	−0.0165658	+	1.01785i
$61$	−1.98917	+	6.12204i	−0.254687	+	0.783847i	0.739204	+	0.673482i	$0.235202\pi$
$61$	−1.98917	+	6.12204i	−0.254687	+	0.783847i	−0.993891	+	0.110365i	$0.964798\pi$
$62$	0.934741	−	0.303716i	0.118712	−	0.0385719i
$63$	−3.31147	+	1.07596i	−0.417206	+	0.135558i
$64$	3.70667	−	11.4080i	0.463334	−	1.42600i
$65$	0.0682544	−	4.19374i	0.00846591	−	0.520170i
$66$	−2.12929	−	6.55329i	−0.262098	−	0.806654i
$67$	5.90225	+	8.12376i	0.721075	+	0.992475i	0.999487	+	0.0320131i	$0.0101918\pi$
$67$	5.90225	+	8.12376i	0.721075	+	0.992475i	−0.278412	+	0.960462i	$0.589808\pi$
$68$			23.9290i			2.90181i
$69$	4.44166	−	3.22706i	0.534713	−	0.388492i
$70$	14.6304	+	10.9977i	1.74866	+	1.31448i
$71$	−0.589451	−	0.428261i	−0.0699550	−	0.0508253i	0.552258	−	0.833673i	$-0.313766\pi$
$71$	−0.589451	−	0.428261i	−0.0699550	−	0.0508253i	−0.622213	+	0.782848i	$0.713766\pi$
$72$	−2.10915	+	2.90300i	−0.248566	+	0.342122i
$73$	−3.41685	−	1.11020i	−0.399912	−	0.129939i	0.102154	−	0.994769i	$-0.467427\pi$
$73$	−3.41685	−	1.11020i	−0.399912	−	0.129939i	−0.502066	+	0.864829i	$0.667427\pi$
$74$	−12.3174			−1.43187
$75$	4.80304	−	1.38952i	0.554608	−	0.160448i
$76$	−10.4011			−1.19309
$77$	−9.70628	−	3.15376i	−1.10613	−	0.359404i
$78$	2.59188	−	3.56741i	0.293472	−	0.403930i
$79$	2.48583	+	1.80606i	0.279677	+	0.203197i	0.718777	−	0.695241i	$-0.244702\pi$
$79$	2.48583	+	1.80606i	0.279677	+	0.203197i	−0.439099	+	0.898439i	$0.644702\pi$
$80$	3.09140	+	0.0503134i	0.345629	+	0.00562521i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$		−	3.94632i		−	0.435798i
$83$	−5.94559	−	8.18340i	−0.652613	−	0.898245i	0.346595	−	0.938015i	$-0.387338\pi$
$83$	−5.94559	−	8.18340i	−0.652613	−	0.898245i	−0.999209	+	0.0397694i	$0.987338\pi$
$84$	3.79427	+	11.6776i	0.413989	+	1.27413i
$85$	14.5050	−	4.45333i	1.57328	−	0.483031i
$86$	7.93517	−	24.4219i	0.855672	−	2.63349i
$87$	−2.43084	+	0.789827i	−0.260613	+	0.0846784i
$88$	−10.0029	+	3.25015i	−1.06632	+	0.346467i
$89$	−0.0888461	+	0.273440i	−0.00941767	+	0.0289846i	−0.955655	−	0.294489i	$-0.904851\pi$
$89$	−0.0888461	+	0.273440i	−0.00941767	+	0.0289846i	0.946237	+	0.323473i	$0.104851\pi$
$90$	4.97224	+	1.70552i	0.524120	+	0.179778i
$91$	−2.01823	−	6.21148i	−0.211568	−	0.651140i
$92$	−11.3799	−	15.6631i	−1.18644	−	1.63299i
$93$		−	0.418084i		−	0.0433533i
$94$	−14.2483	+	10.3520i	−1.46960	+	1.06773i
$95$	1.93571	+	6.30482i	0.198600	+	0.646861i
$96$	−3.17630	−	2.30772i	−0.324180	−	0.235531i
$97$	6.11828	−	8.42109i	0.621217	−	0.855032i	−0.376224	−	0.926529i	$-0.622778\pi$
$97$	6.11828	−	8.42109i	0.621217	−	0.855032i	0.997441	+	0.0714966i	$0.0227775\pi$
$98$	11.4551	+	3.72197i	1.15714	+	0.375976i
$99$	−2.93111			−0.294587
$100$	−4.90001	−	16.9375i	−0.490001	−	1.69375i
$101$	7.65744			0.761943			0.380972	−	0.924587i	$-0.375590\pi$
$101$	7.65744			0.761943			0.380972	+	0.924587i	$0.375590\pi$
$102$	15.1712	+	4.92942i	1.50217	+	0.488085i
$103$	−1.75514	+	2.41574i	−0.172939	+	0.238030i	−0.886684	−	0.462375i	$-0.846997\pi$
$103$	−1.75514	+	2.41574i	−0.172939	+	0.238030i	0.713745	+	0.700405i	$0.246997\pi$
$104$	−5.44530	−	3.95624i	−0.533955	−	0.387941i
$105$	6.37243	−	4.47323i	0.621885	−	0.436543i
$106$	−7.05501	+	5.12576i	−0.685243	+	0.497858i
$107$			7.07213i			0.683689i	0.939757	+	0.341844i	$0.111052\pi$
$107$			7.07213i			0.683689i	−0.939757	+	0.341844i	$0.888948\pi$
$108$	2.07277	+	2.85292i	0.199452	+	0.274522i
$109$	4.11060	+	12.6511i	0.393724	+	1.21176i	0.929951	+	0.367683i	$0.119849\pi$
$109$	4.11060	+	12.6511i	0.393724	+	1.21176i	−0.536227	+	0.844074i	$0.680151\pi$
$110$	8.85237	+	12.6108i	0.844041	+	1.20239i
$111$	−1.61912	+	4.98314i	−0.153680	+	0.472979i
$112$	4.57876	−	1.48773i	0.432653	−	0.140577i
$113$	−9.53271	+	3.09737i	−0.896762	+	0.291376i	−0.720900	−	0.693039i	$-0.756271\pi$
$113$	−9.53271	+	3.09737i	−0.896762	+	0.291376i	−0.175862	+	0.984415i	$0.556271\pi$
$114$	−2.14265	+	6.59441i	−0.200678	+	0.617623i
$115$	−7.37658	+	9.81312i	−0.687870	+	0.915078i
$116$	2.78525	+	8.57211i	0.258604	+	0.795900i
$117$	−1.10254	−	1.51751i	−0.101930	−	0.140294i
$118$		−	16.7110i		−	1.53837i
$119$	19.1146	−	13.8875i	1.75223	−	1.27307i
$120$	2.60331	−	7.58963i	0.237649	−	0.692835i
$121$	1.94861	+	1.41575i	0.177146	+	0.128704i
$122$	8.89467	−	12.2425i	0.805286	−	1.10838i
$123$	−1.59653	−	0.518744i	−0.143954	−	0.0467736i
$124$	−1.47433			−0.132399
$125$	−9.35502	+	6.12239i	−0.836738	+	0.547603i
$126$	8.18532			0.729206
$127$	−10.0556	−	3.26725i	−0.892286	−	0.289921i	−0.173237	−	0.984880i	$-0.555423\pi$
$127$	−10.0556	−	3.26725i	−0.892286	−	0.289921i	−0.719049	+	0.694959i	$0.755423\pi$
$128$	−11.9591	+	16.4603i	−1.05705	+	1.45490i
$129$	−8.83711	−	6.42054i	−0.778064	−	0.565297i
$130$	−3.19913	+	9.32667i	−0.280582	+	0.818003i
$131$	7.30225	−	5.30540i	0.638001	−	0.463535i	−0.221162	−	0.975237i	$-0.570985\pi$
$131$	7.30225	−	5.30540i	0.638001	−	0.463535i	0.859163	+	0.511703i	$0.170985\pi$
$132$			10.3363i			0.899656i
$133$	6.03645	+	8.30847i	0.523427	+	0.720435i
$134$	−7.29462	−	22.4505i	−0.630159	−	1.93943i
$135$	1.34359	−	1.78739i	0.115638	−	0.153834i
$136$	7.52427	−	23.1573i	0.645200	−	1.98572i
$137$	−18.7021	+	6.07669i	−1.59783	+	0.519167i	−0.966570	−	0.256404i	$-0.917462\pi$
$137$	−18.7021	+	6.07669i	−1.59783	+	0.519167i	−0.631261	+	0.775571i	$0.717462\pi$
$138$	−12.2748	+	3.98833i	−1.04490	+	0.339509i
$139$	3.60067	−	11.0817i	0.305404	−	0.939938i	−0.674122	−	0.738620i	$-0.735478\pi$
$139$	3.60067	−	11.0817i	0.305404	−	0.939938i	0.979526	−	0.201318i	$-0.0645224\pi$
$140$	−15.7744	−	22.4717i	−1.33318	−	1.89921i
$141$	2.31509	+	7.12511i	0.194965	+	0.600042i
$142$	1.00677	+	1.38570i	0.0844862	+	0.116285i
$143$		−	5.49801i		−	0.459767i
$144$	1.11863	−	0.812729i	0.0932188	−	0.0677275i
$145$	4.67778	−	3.28365i	0.388469	−	0.272692i
$146$	6.83280	+	4.96432i	0.565486	+	0.410850i
$147$	3.01154	−	4.14503i	0.248387	−	0.341876i
$148$	17.5726	+	5.70967i	1.44446	+	0.469332i
$149$	7.33020			0.600513			0.300257	−	0.953858i	$-0.402928\pi$
$149$	7.33020			0.600513			0.300257	+	0.953858i	$0.402928\pi$
$150$	−11.7479	−	0.382503i	−0.959214	−	0.0312312i
$151$	−16.7358			−1.36194			−0.680968	−	0.732313i	$-0.738441\pi$
$151$	−16.7358			−1.36194			−0.680968	+	0.732313i	$0.738441\pi$
$152$	10.0657	+	3.27055i	0.816437	+	0.265276i
$153$	3.98851	−	5.48972i	0.322452	−	0.443817i
$154$	19.4100	+	14.1022i	1.56410	+	1.13639i
$155$	0.274382	+	0.893692i	0.0220389	+	0.0717831i
$156$	−5.35135	+	3.88798i	−0.428451	+	0.311288i
$157$		−	7.88635i		−	0.629399i	−0.949191	−	0.314700i	$-0.898096\pi$
$157$		−	7.88635i		−	0.629399i	0.949191	−	0.314700i	$-0.101904\pi$
$158$	−4.24574	−	5.84375i	−0.337773	−	0.464904i
$159$	1.14631	+	3.52797i	0.0909081	+	0.279786i
$160$	8.30415	+	2.84840i	0.656501	+	0.225186i
$161$	−5.90724	+	18.1806i	−0.465556	+	1.43283i
$162$	2.23577	−	0.726446i	0.175659	−	0.0570750i
$163$	9.45343	−	3.07160i	0.740450	−	0.240587i	0.0855829	−	0.996331i	$-0.472725\pi$
$163$	9.45343	−	3.07160i	0.740450	−	0.240587i	0.654867	+	0.755744i	$0.272725\pi$
$164$	−1.82930	+	5.63000i	−0.142844	+	0.439629i
$165$	6.26550	−	1.92364i	0.487769	−	0.149755i
$166$	7.34818	+	22.6154i	0.570330	+	1.75529i
$167$	3.27847	+	4.51243i	0.253696	+	0.349182i	0.916801	−	0.399344i	$-0.130762\pi$
$167$	3.27847	+	4.51243i	0.253696	+	0.349182i	−0.663106	+	0.748526i	$0.730762\pi$
$168$		−	12.4941i		−	0.963939i
$169$	−7.67075	+	5.57313i	−0.590058	+	0.428702i
$170$	−35.6649	−	0.580456i	−2.73537	−	0.0445190i
$171$	2.38620	+	1.73367i	0.182477	+	0.132577i
$172$	−22.6414	+	31.1632i	−1.72639	+	2.37617i
$173$	15.7573	+	5.11985i	1.19800	+	0.389255i	0.839026	−	0.544091i	$-0.183125\pi$
$173$	15.7573	+	5.11985i	1.19800	+	0.389255i	0.358978	+	0.933346i	$0.383125\pi$
$174$	6.00857			0.455508
$175$	−10.6859	+	13.7441i	−0.807780	+	1.03895i
$176$	4.05284			0.305494
$177$	−6.76062	−	2.19666i	−0.508160	−	0.165111i
$178$	0.397279	−	0.546808i	0.0297773	−	0.0409850i
$179$	−4.33650	−	3.15065i	−0.324125	−	0.235491i	0.413808	−	0.910364i	$-0.364198\pi$
$179$	−4.33650	−	3.15065i	−0.324125	−	0.235491i	−0.737934	+	0.674873i	$0.764198\pi$
$180$	−6.30305	−	4.73804i	−0.469802	−	0.353153i
$181$	0.265151	−	0.192643i	0.0197085	−	0.0143191i	−0.577887	−	0.816117i	$-0.696123\pi$
$181$	0.265151	−	0.192643i	0.0197085	−	0.0143191i	0.597596	+	0.801797i	$0.296123\pi$
$182$			15.3536i			1.13808i
$183$	−3.78363	−	5.20772i	−0.279694	−	0.384966i
$184$	6.08779	+	18.7363i	0.448798	+	1.38126i
$185$	0.190657	−	11.7145i	0.0140174	−	0.861269i
$186$	−0.303716	+	0.934741i	−0.0222695	+	0.0685385i
$187$	18.9160	−	6.14619i	1.38328	−	0.449454i
$188$	25.1260	−	8.16392i	1.83250	−	0.595415i
$189$	1.07596	−	3.31147i	0.0782647	−	0.240874i
$190$	0.252305	−	15.5023i	0.0183041	−	1.12466i
$191$	−1.07226	−	3.30009i	−0.0775862	−	0.238786i	0.904740	−	0.425965i	$-0.140065\pi$
$191$	−1.07226	−	3.30009i	−0.0775862	−	0.238786i	−0.982326	+	0.187179i	$0.940065\pi$
$192$	7.05051	+	9.70420i	0.508827	+	0.700340i
$193$		−	24.3134i		−	1.75012i	−0.484018	−	0.875058i	$-0.660823\pi$
$193$		−	24.3134i		−	1.75012i	0.484018	−	0.875058i	$-0.339177\pi$
$194$	−19.7966	+	14.3830i	−1.42131	+	1.03264i
$195$	3.35269	+	2.52024i	0.240091	+	0.180478i
$196$	−14.6170	−	10.6199i	−1.04407	−	0.758563i
$197$	−8.79098	+	12.0997i	−0.626331	+	0.862071i	−0.997795	−	0.0663764i	$-0.978856\pi$
$197$	−8.79098	+	12.0997i	−0.626331	+	0.862071i	0.371463	+	0.928448i	$0.378856\pi$
$198$	6.55329	+	2.12929i	0.465722	+	0.151322i
$199$	11.3251			0.802817			0.401408	−	0.915899i	$-0.368521\pi$
$199$	11.3251			0.802817			0.401408	+	0.915899i	$0.368521\pi$
$200$	−0.583853	+	17.9320i	−0.0412846	+	1.26799i
$201$	−10.0415			−0.708274
$202$	−17.1203	−	5.56272i	−1.20458	−	0.391391i
$203$	5.23098	−	7.19983i	0.367143	−	0.505329i
$204$	−19.3589	−	14.0651i	−1.35540	−	0.984753i
$205$	3.75317	+	0.0610839i	0.262133	+	0.00426628i
$206$	5.67900	−	4.12603i	0.395674	−	0.287474i
$207$			5.49019i			0.381595i
$208$	1.52447	+	2.09826i	0.105703	+	0.145488i
$209$	2.67155	+	8.22217i	0.184795	+	0.568739i
$210$	−17.4969	+	5.37190i	−1.20740	+	0.370696i
$211$	2.33086	−	7.17366i	0.160463	−	0.493855i	−0.838210	−	0.545347i	$-0.816398\pi$
$211$	2.33086	−	7.17366i	0.160463	−	0.493855i	0.998673	+	0.0514924i	$0.0163978\pi$
$212$	12.4410	−	4.04234i	0.854454	−	0.277629i
$213$	0.692941	−	0.225150i	0.0474796	−	0.0154270i
$214$	5.13752	−	15.8117i	0.351194	−	1.08086i
$215$	23.1038	+	7.92482i	1.57567	+	0.540468i
$216$	−1.10885	−	3.41268i	−0.0754475	−	0.232204i
$217$	0.855651	+	1.17770i	0.0580854	+	0.0799477i
$218$		−	31.2711i		−	2.11795i
$219$	2.90655	−	2.11173i	0.196406	−	0.142697i
$220$	−6.78353	−	22.0947i	−0.457345	−	1.48962i
$221$	10.2973	+	7.48144i	0.692672	+	0.503256i
$222$	7.23997	−	9.96497i	0.485915	−	0.668805i
$223$	−7.41386	−	2.40891i	−0.496469	−	0.161313i	0.0500709	−	0.998746i	$-0.484055\pi$
$223$	−7.41386	−	2.40891i	−0.496469	−	0.161313i	−0.546540	+	0.837433i	$0.684055\pi$
$224$	13.6703			0.913387
$225$	−1.69901	+	4.70248i	−0.113268	+	0.313499i
$226$	23.5630			1.56739
$227$	12.2039	+	3.96529i	0.810001	+	0.263185i	0.684598	−	0.728921i	$-0.259978\pi$
$227$	12.2039	+	3.96529i	0.810001	+	0.263185i	0.125403	+	0.992106i	$0.459978\pi$
$228$	6.11363	−	8.41468i	0.404885	−	0.557276i
$229$	−11.7334	−	8.52483i	−0.775366	−	0.563337i	0.128218	−	0.991746i	$-0.459074\pi$
$229$	−11.7334	−	8.52483i	−0.775366	−	0.563337i	−0.903585	+	0.428409i	$0.859074\pi$
$230$	23.6211	−	16.5812i	1.55753	−	1.09333i
$231$	8.25665	−	5.99881i	0.543248	−	0.394693i
$232$		−	9.17148i		−	0.602137i
$233$	−6.69902	−	9.22041i	−0.438867	−	0.604049i	0.531093	−	0.847314i	$-0.321782\pi$
$233$	−6.69902	−	9.22041i	−0.438867	−	0.604049i	−0.969960	+	0.243265i	$0.921782\pi$
$234$	1.36263	+	4.19374i	0.0890779	+	0.274153i
$235$	−9.62480	−	13.7112i	−0.627853	−	0.894420i
$236$	−7.74630	+	23.8407i	−0.504241	+	1.55190i
$237$	−2.92226	+	0.949501i	−0.189821	+	0.0616767i
$238$	−52.8244	+	17.1637i	−3.42410	+	1.11256i
$239$	−2.13244	+	6.56298i	−0.137936	+	0.424524i	−0.996035	−	0.0889605i	$-0.971646\pi$
$239$	−2.13244	+	6.56298i	−0.137936	+	0.424524i	0.858099	+	0.513484i	$0.171646\pi$
$240$	−1.85778	+	2.47142i	−0.119919	+	0.159529i
$241$	−8.79052	−	27.0545i	−0.566247	−	1.74273i	−0.664216	−	0.747541i	$-0.731234\pi$
$241$	−8.79052	−	27.0545i	−0.566247	−	1.74273i	0.0979683	−	0.995190i	$-0.468766\pi$
$242$	−3.32818	−	4.58085i	−0.213943	−	0.294468i
$243$		−	1.00000i		−	0.0641500i
$244$	−18.3645	+	13.3426i	−1.17567	+	0.854172i
$245$	−3.71712	+	10.8368i	−0.237478	+	0.692337i
$246$	3.19264	+	2.31959i	0.203555	+	0.147891i
$247$	−3.25193	+	4.47590i	−0.206915	+	0.284795i
$248$	1.42679	+	0.463592i	0.0906011	+	0.0294381i
$249$	10.1152			0.641028
$250$	25.3633	−	6.89235i	1.60411	−	0.435910i
$251$	−12.3258			−0.777999			−0.389000	−	0.921238i	$-0.627179\pi$
$251$	−12.3258			−0.777999			−0.389000	+	0.921238i	$0.627179\pi$
$252$	−11.6776	−	3.79427i	−0.735618	−	0.239017i
$253$	−9.45885	+	13.0190i	−0.594673	+	0.818496i
$254$	20.1084	+	14.6096i	1.26172	+	0.916690i
$255$	−4.92299	+	14.3524i	−0.308289	+	0.898780i
$256$	19.2870	−	14.0128i	1.20544	−	0.875801i
$257$		−	20.8274i		−	1.29918i	−0.760285	−	0.649590i	$-0.774941\pi$
$257$		−	20.8274i		−	1.29918i	0.760285	−	0.649590i	$-0.225059\pi$
$258$	15.0936	+	20.7745i	0.939686	+	1.29337i
$259$	−5.63760	−	17.3507i	−0.350303	−	1.07812i
$260$	8.88737	−	11.8229i	0.551171	−	0.733227i
$261$	0.789827	−	2.43084i	0.0488891	−	0.150465i
$262$	−20.1802	+	6.55696i	−1.24674	+	0.405090i
$263$	−2.12577	+	0.690704i	−0.131080	+	0.0425906i	−0.373823	−	0.927500i	$-0.621953\pi$
$263$	−2.12577	+	0.690704i	−0.131080	+	0.0425906i	0.242742	+	0.970091i	$0.421953\pi$
$264$	3.25015	−	10.0029i	0.200033	−	0.615638i
$265$	−4.76569	−	6.78905i	−0.292754	−	0.417048i
$266$	−7.46048	−	22.9610i	−0.457431	−	1.40783i
$267$	−0.168995	−	0.232602i	−0.0103423	−	0.0142350i
$268$			35.4104i			2.16303i
$269$	−15.6170	+	11.3464i	−0.952183	+	0.691802i	−0.951322	−	0.308198i	$-0.900274\pi$
$269$	−15.6170	+	11.3464i	−0.952183	+	0.691802i	−0.000861106		1.00000i	$0.500274\pi$
$270$	−4.30241	+	3.02015i	−0.261836	+	0.183800i
$271$	9.66058	+	7.01882i	0.586838	+	0.426363i	0.841183	−	0.540751i	$-0.181860\pi$
$271$	9.66058	+	7.01882i	0.586838	+	0.426363i	−0.254345	+	0.967114i	$0.581860\pi$
$272$	−5.51491	+	7.59062i	−0.334390	+	0.460249i
$273$	6.21148	+	2.01823i	0.375936	+	0.122149i
$274$	46.2281			2.79274
$275$	−12.1306	+	8.22391i	−0.731504	+	0.495920i
$276$	19.3606			1.16537
$277$	−24.8669	−	8.07975i	−1.49411	−	0.485465i	−0.555815	−	0.831306i	$-0.687594\pi$
$277$	−24.8669	−	8.07975i	−1.49411	−	0.485465i	−0.938293	+	0.345841i	$0.887594\pi$
$278$	−16.1005	+	22.1605i	−0.965646	+	1.32910i
$279$	0.338237	+	0.245744i	0.0202497	+	0.0147123i
$280$	8.19967	+	26.7072i	0.490024	+	1.59606i
$281$	−8.18876	+	5.94948i	−0.488500	+	0.354916i	−0.804607	−	0.593807i	$-0.797624\pi$
$281$	−8.18876	+	5.94948i	−0.488500	+	0.354916i	0.316107	+	0.948724i	$0.397624\pi$
$282$		−	17.6119i		−	1.04877i
$283$	18.7290	+	25.7783i	1.11333	+	1.53236i	0.816423	+	0.577455i	$0.195954\pi$
$283$	18.7290	+	25.7783i	1.11333	+	1.53236i	0.296903	+	0.954907i	$0.404046\pi$
$284$	−0.793970	−	2.44359i	−0.0471135	−	0.145000i
$285$	−6.23849	−	2.13986i	−0.369536	−	0.126754i
$286$	−3.99401	+	12.2923i	−0.236171	+	0.726859i
$287$	5.55893	−	1.80621i	0.328134	−	0.106617i
$288$	3.73397	−	1.21324i	0.220026	−	0.0714908i
$289$	−8.97546	+	27.6236i	−0.527968	+	1.62492i
$290$	−12.8439	+	3.94333i	−0.754217	+	0.231560i
$291$	3.21657	+	9.89959i	0.188559	+	0.580324i
$292$	−7.44680	−	10.2496i	−0.435791	−	0.599815i
$293$			16.6235i			0.971153i	0.874194	+	0.485576i	$0.161390\pi$
$293$			16.6235i			0.971153i	−0.874194	+	0.485576i	$0.838610\pi$
$294$	−9.74425	+	7.07961i	−0.568296	+	0.412891i
$295$	15.8931	+	0.258664i	0.925331	+	0.0150600i
$296$	−15.2105	−	11.0511i	−0.884094	−	0.642332i
$297$	1.72286	−	2.37132i	0.0999706	−	0.137598i
$298$	−16.3886	−	5.32499i	−0.949369	−	0.308469i
$299$	−10.2982			−0.595561
$300$	16.5828	+	5.99140i	0.957411	+	0.345914i
$301$	38.0336			2.19222
$302$	37.4173	+	12.1576i	2.15312	+	0.699593i
$303$	−4.50093	+	6.19500i	−0.258572	+	0.355893i
$304$	−3.29939	−	2.39715i	−0.189233	−	0.137486i
$305$	11.5056	+	8.64883i	0.658809	+	0.495231i
$306$	−12.9054	+	9.37631i	−0.737752	+	0.536008i
$307$			14.1643i			0.808402i	0.914670	+	0.404201i	$0.132450\pi$
$307$			14.1643i			0.808402i	−0.914670	+	0.404201i	$0.867550\pi$
$308$	−21.1542	−	29.1163i	−1.20537	−	1.65905i
$309$	−0.922731	−	2.83987i	−0.0524923	−	0.161555i
$310$	0.0357636	−	2.19742i	0.00203123	−	0.124805i
$311$	4.65070	−	14.3134i	0.263717	−	0.811637i	−0.728269	−	0.685291i	$-0.759675\pi$
$311$	4.65070	−	14.3134i	0.263717	−	0.811637i	0.991986	−	0.126346i	$-0.0403250\pi$
$312$	6.40133	−	2.07992i	0.362404	−	0.117752i
$313$	3.39980	−	1.10466i	0.192168	−	0.0624392i	−0.211352	−	0.977410i	$-0.567787\pi$
$313$	3.39980	−	1.10466i	0.192168	−	0.0624392i	0.403520	+	0.914971i	$0.367787\pi$
$314$	−5.72901	+	17.6321i	−0.323307	+	0.995036i
$315$	−0.126698	+	7.78470i	−0.00713864	+	0.438618i
$316$	3.34832	+	10.3051i	0.188358	+	0.579706i
$317$	7.51306	+	10.3408i	0.421975	+	0.580799i	0.966088	−	0.258213i	$-0.0831336\pi$
$317$	7.51306	+	10.3408i	0.421975	+	0.580799i	−0.544113	+	0.839012i	$0.683134\pi$
$318$		−	8.72047i		−	0.489020i
$319$	6.06093	−	4.40352i	0.339347	−	0.246550i
$320$	−21.4398	−	16.1165i	−1.19852	−	0.900937i
$321$	−5.72147	−	4.15689i	−0.319342	−	0.232015i
$322$	26.4145	−	36.3564i	1.47202	−	2.02606i
$323$	−19.0347	−	6.18476i	−1.05912	−	0.344129i
$324$	−3.52640			−0.195911
$325$	−8.82067	−	3.18692i	−0.489283	−	0.176778i
$326$	−23.3671			−1.29418
$327$	−12.6511	−	4.11060i	−0.699608	−	0.227317i
$328$	3.54062	−	4.87324i	0.195498	−	0.269080i
$329$	−21.1036	−	15.3327i	−1.16348	−	0.845318i
$330$	−15.4057	−	0.250732i	−0.848054	−	0.0138023i
$331$	−3.80646	+	2.76555i	−0.209222	+	0.152009i	−0.687462	−	0.726221i	$-0.741275\pi$
$331$	−3.80646	+	2.76555i	−0.209222	+	0.152009i	0.478240	+	0.878229i	$0.341275\pi$
$332$		−	35.6704i		−	1.95767i
$333$	−3.07975	−	4.23892i	−0.168769	−	0.232291i
$334$	−4.05187	−	12.4704i	−0.221709	−	0.682349i
$335$	21.4646	−	6.59009i	1.17274	−	0.360055i
$336$	−1.48773	+	4.57876i	−0.0811624	+	0.249792i
$337$	−16.5529	+	5.37837i	−0.901694	+	0.292978i	−0.722936	−	0.690915i	$-0.757208\pi$
$337$	−16.5529	+	5.37837i	−0.901694	+	0.292978i	−0.178758	+	0.983893i	$0.557208\pi$
$338$	21.1986	−	6.88785i	1.15305	−	0.374650i
$339$	3.09737	−	9.53271i	0.168226	−	0.517746i
$340$	50.6122	+	17.3604i	2.74483	+	0.941501i
$341$	0.378685	+	1.16547i	0.0205069	+	0.0631138i
$342$	−4.07557	−	5.60954i	−0.220382	−	0.303329i
$343$		−	6.53364i		−	0.352783i
$344$	31.7103	−	23.0389i	1.70970	−	1.24217i
$345$	−3.60313	−	11.7358i	−0.193986	−	0.631833i
$346$	−31.5104	−	22.8936i	−1.69401	−	1.23077i
$347$	−8.23525	+	11.3348i	−0.442091	+	0.608486i	−0.970675	−	0.240395i	$-0.922723\pi$
$347$	−8.23525	+	11.3348i	−0.442091	+	0.608486i	0.528584	+	0.848881i	$0.322723\pi$
$348$	−8.57211	−	2.78525i	−0.459513	−	0.149305i
$349$	−35.9459			−1.92414			−0.962069	−	0.272806i	$-0.912048\pi$
$349$	−35.9459			−1.92414			−0.962069	+	0.272806i	$0.912048\pi$
$350$	33.8756	−	22.9658i	1.81073	−	1.22758i
$351$	1.87575			0.100120
$352$	10.9447	+	3.55614i	0.583352	+	0.189543i
$353$	5.17367	−	7.12095i	0.275367	−	0.379010i	−0.648826	−	0.760937i	$-0.724740\pi$
$353$	5.17367	−	7.12095i	0.275367	−	0.379010i	0.924192	+	0.381927i	$0.124740\pi$
$354$	13.5195	+	9.82246i	0.718551	+	0.522058i
$355$	−1.33346	+	0.936046i	−0.0707728	+	0.0496802i
$356$	−0.820248	+	0.595945i	−0.0434731	+	0.0315850i
$357$			23.6269i			1.25047i
$358$	7.40665	+	10.1944i	0.391454	+	0.538790i
$359$	−1.86326	−	5.73451i	−0.0983389	−	0.302656i	0.889771	−	0.456408i	$-0.150864\pi$
$359$	−1.86326	−	5.73451i	−0.0983389	−	0.302656i	−0.988109	+	0.153752i	$0.950864\pi$
$360$	4.60995	+	6.56720i	0.242966	+	0.346122i
$361$	−3.18301	+	9.79630i	−0.167527	+	0.515595i
$362$	−0.732762	+	0.238089i	−0.0385131	+	0.0125137i
$363$	−2.29073	+	0.744302i	−0.120232	+	0.0390657i
$364$	7.11710	−	21.9042i	0.373037	−	1.14809i
$365$	−4.82711	+	6.42153i	−0.252662	+	0.336118i
$366$	4.67621	+	14.3919i	0.244429	+	0.752276i
$367$	16.9084	+	23.2724i	0.882609	+	1.21481i	0.975691	+	0.219149i	$0.0703280\pi$
$367$	16.9084	+	23.2724i	0.882609	+	1.21481i	−0.0930825	+	0.995658i	$0.529672\pi$
$368$		−	7.59128i		−	0.395723i
$369$	1.35809	−	0.986709i	0.0706993	−	0.0513660i
$370$	−8.93624	+	26.0525i	−0.464573	+	1.35440i
$371$	−10.4494	−	7.59193i	−0.542505	−	0.394153i
$372$	0.866590	−	1.19276i	0.0449306	−	0.0618417i
$373$	31.9555	+	10.3830i	1.65459	+	0.537610i	0.979729	−	0.200330i	$-0.0642013\pi$
$373$	31.9555	+	10.3830i	1.65459	+	0.537610i	0.674866	+	0.737940i	$0.264201\pi$
$374$	−46.7568			−2.41774
$375$	0.545625	−	11.1670i	0.0281759	−	0.576662i
$376$	−26.8828			−1.38637
$377$	4.55964	+	1.48152i	0.234833	+	0.0763020i
$378$	−4.81121	+	6.62206i	−0.247462	+	0.340602i
$379$	3.74901	+	2.72381i	0.192574	+	0.139913i	0.679894	−	0.733310i	$-0.262026\pi$
$379$	3.74901	+	2.72381i	0.192574	+	0.139913i	−0.487321	+	0.873223i	$0.662026\pi$
$380$	−7.54600	+	21.9994i	−0.387101	+	1.12855i
$381$	8.55377	−	6.21467i	0.438223	−	0.318387i
$382$			8.15718i			0.417358i
$383$	7.58581	+	10.4410i	0.387617	+	0.533509i	0.957582	−	0.288160i	$-0.0930434\pi$
$383$	7.58581	+	10.4410i	0.387617	+	0.533509i	−0.569965	+	0.821669i	$0.693043\pi$
$384$	−6.28728	−	19.3503i	−0.320846	−	0.987464i
$385$	−13.7124	+	18.2417i	−0.698849	+	0.929683i
$386$	−17.6624	+	54.3592i	−0.898991	+	2.76681i
$387$	10.3886	−	3.37548i	0.528085	−	0.171585i
$388$	34.9099	−	11.3429i	1.77228	−	0.575849i
$389$	5.41540	−	16.6669i	0.274571	−	0.845044i	−0.714761	−	0.699369i	$-0.753465\pi$
$389$	5.41540	−	16.6669i	0.274571	−	0.845044i	0.989332	−	0.145675i	$-0.0465355\pi$
$390$	−5.66503	−	8.07023i	−0.286860	−	0.408652i
$391$	−11.5123	−	35.4312i	−0.582202	−	1.79183i
$392$	10.8063	+	14.8736i	0.545802	+	0.751232i
$393$			9.02608i			0.455305i
$394$	28.4444	−	20.6661i	1.43301	−	1.04114i
$395$	5.62346	−	3.94748i	0.282947	−	0.198619i
$396$	−8.36221	−	6.07550i	−0.420217	−	0.305305i
$397$	15.8805	−	21.8577i	0.797021	−	1.09701i	−0.196177	−	0.980569i	$-0.562853\pi$
$397$	15.8805	−	21.8577i	0.797021	−	1.09701i	0.993198	−	0.116437i	$-0.0371473\pi$
$398$	−25.3204	−	8.22709i	−1.26920	−	0.412387i
$399$	−10.2698			−0.514134
$400$	2.34922	−	6.50211i	0.117461	−	0.325106i
$401$	−15.9792			−0.797965			−0.398983	−	0.916958i	$-0.630637\pi$
$401$	−15.9792			−0.797965			−0.398983	+	0.916958i	$0.630637\pi$
$402$	22.4505	+	7.29462i	1.11973	+	0.363823i
$403$	−0.460953	+	0.634447i	−0.0229617	+	0.0316041i
$404$	21.8460	+	15.8721i	1.08688	+	0.789665i
$405$	0.656285	+	2.13759i	0.0326110	+	0.106218i
$406$	−16.9256	+	12.2971i	−0.840002	+	0.610297i
$407$		−	15.3578i		−	0.761258i
$408$	14.3120	+	19.6988i	0.708550	+	0.975235i
$409$	9.57834	+	29.4791i	0.473618	+	1.45765i	0.847812	+	0.530297i	$0.177920\pi$
$409$	9.57834	+	29.4791i	0.473618	+	1.45765i	−0.374193	+	0.927351i	$0.622080\pi$
$410$	−8.34686	−	2.86305i	−0.412222	−	0.141396i
$411$	6.07669	−	18.7021i	0.299741	−	0.922508i
$412$	−10.0145	+	3.25392i	−0.493381	+	0.160309i
$413$	23.5397	−	7.64852i	1.15831	−	0.376359i
$414$	3.98833	−	12.2748i	0.196016	−	0.603275i
$415$	−21.6222	+	6.63848i	−1.06139	+	0.325870i
$416$	2.27573	+	7.00398i	0.111577	+	0.343398i
$417$	6.84887	+	9.42666i	0.335391	+	0.461626i
$418$		−	20.3236i		−	0.994061i
$419$	20.9660	−	15.2327i	1.02425	−	0.744164i	0.0571034	−	0.998368i	$-0.481814\pi$
$419$	20.9660	−	15.2327i	1.02425	−	0.744164i	0.967151	+	0.254204i	$0.0818135\pi$
$420$	27.4520	+	0.446789i	1.33952	+	0.0218011i
$421$	−3.17658	−	2.30792i	−0.154817	−	0.112481i	0.507680	−	0.861546i	$-0.330503\pi$
$421$	−3.17658	−	2.30792i	−0.154817	−	0.112481i	−0.662497	+	0.749065i	$0.730503\pi$
$422$	−10.4226	+	14.3454i	−0.507362	+	0.698324i
$423$	−7.12511	−	2.31509i	−0.346434	−	0.112563i
$424$	−13.3109			−0.646436
$425$	1.10409	−	33.9103i	0.0535564	−	1.64489i
$426$	−1.71282			−0.0829863
$427$	21.3163	+	6.92607i	1.03157	+	0.335176i
$428$	−14.6589	+	20.1762i	−0.708563	+	0.975254i
$429$	4.44799	+	3.23165i	0.214751	+	0.156026i
$430$	−45.8979	−	34.5018i	−2.21339	−	1.66382i
$431$	28.6903	−	20.8447i	1.38196	−	1.00406i	0.385270	−	0.922804i	$-0.374108\pi$
$431$	28.6903	−	20.8447i	1.38196	−	1.00406i	0.996694	−	0.0812518i	$-0.0258918\pi$
$432$			1.38270i			0.0665251i
$433$	−5.93423	−	8.16776i	−0.285181	−	0.392518i	0.642261	−	0.766486i	$-0.277997\pi$
$433$	−5.93423	−	8.16776i	−0.285181	−	0.392518i	−0.927441	+	0.373969i	$0.877997\pi$
$434$	−1.05750	−	3.25466i	−0.0507618	−	0.156229i
$435$	−0.0930049	+	5.71449i	−0.00445924	+	0.273989i
$436$	−14.4956	+	44.6129i	−0.694214	+	2.13657i
$437$	15.4008	−	5.00402i	0.736719	−	0.239375i
$438$	−8.03243	+	2.60990i	−0.383804	+	0.124706i
$439$	−2.19575	+	6.75783i	−0.104798	+	0.322534i	−0.989683	−	0.143275i	$-0.954237\pi$
$439$	−2.19575	+	6.75783i	−0.104798	+	0.322534i	0.884885	+	0.465809i	$0.154237\pi$
$440$	−0.382717	+	23.5152i	−0.0182453	+	1.12104i
$441$	1.58326	+	4.87277i	0.0753933	+	0.232037i
$442$	−17.5876	−	24.2072i	−0.836556	−	1.15142i
$443$			20.6841i			0.982733i	0.870953	+	0.491366i	$0.163502\pi$
$443$			20.6841i			0.982733i	−0.870953	+	0.491366i	$0.836498\pi$
$444$	−14.9481	+	10.8604i	−0.709406	+	0.515414i
$445$	0.513896	+	0.386299i	0.0243610	+	0.0183123i
$446$	14.8258	+	10.7715i	0.702020	+	0.510047i
$447$	−4.30858	+	5.93025i	−0.203789	+	0.280491i
$448$	−39.7213	−	12.9062i	−1.87665	−	0.609762i
$449$	−19.4940			−0.919980			−0.459990	−	0.887924i	$-0.652147\pi$
$449$	−19.4940			−0.919980			−0.459990	+	0.887924i	$0.652147\pi$
$450$	7.21471	−	9.27944i	0.340105	−	0.437437i
$451$	4.92042			0.231694
$452$	−33.6162	−	10.9225i	−1.58117	−	0.513754i
$453$	9.83703	−	13.5395i	0.462184	−	0.636142i
$454$	−24.4046	−	17.7310i	−1.14536	−	0.832155i
$455$	−14.6021	−	0.237654i	−0.684559	−	0.0111414i
$456$	−8.56240	+	6.22095i	−0.400971	+	0.291323i
$457$			4.34194i			0.203107i	0.994830	+	0.101554i	$0.0323813\pi$
$457$			4.34194i			0.203107i	−0.994830	+	0.101554i	$0.967619\pi$
$458$	20.0404	+	27.5833i	0.936427	+	1.28888i
$459$	2.09688	+	6.45355i	0.0978742	+	0.301226i
$460$	−41.3851	+	12.7061i	−1.92959	+	0.592424i
$461$	3.64322	−	11.2127i	0.169682	−	0.522227i	−0.829669	−	0.558256i	$-0.811471\pi$
$461$	3.64322	−	11.2127i	0.169682	−	0.522227i	0.999351	+	0.0360287i	$0.0114708\pi$
$462$	−22.8178	+	7.41395i	−1.06158	+	0.344928i
$463$	8.63436	−	2.80547i	0.401273	−	0.130381i	−0.101426	−	0.994843i	$-0.532341\pi$
$463$	8.63436	−	2.80547i	0.401273	−	0.130381i	0.502699	+	0.864462i	$0.332341\pi$
$464$	−1.09209	+	3.36112i	−0.0506991	+	0.156036i
$465$	−0.884290	−	0.303319i	−0.0410080	−	0.0140661i
$466$	8.27934	+	25.4812i	0.383533	+	1.18039i
$467$	−20.5244	−	28.2494i	−0.949755	−	1.30723i	−0.951636	−	0.307227i	$-0.900599\pi$
$467$	−20.5244	−	28.2494i	−0.949755	−	1.30723i	0.00188168	−	0.999998i	$-0.499401\pi$
$468$		−	6.61463i		−	0.305762i
$469$	28.2860	−	20.5510i	1.30613	−	0.948956i
$470$	11.5584	+	37.6470i	0.533150	+	1.73653i
$471$	6.38019	+	4.63548i	0.293984	+	0.213592i
$472$	14.9930	−	20.6361i	0.690109	−	0.949854i
$473$	30.4502	+	9.89388i	1.40010	+	0.454921i
$474$	7.22328			0.331776
$475$	14.7397	+	0.479913i	0.676304	+	0.0220199i
$476$	83.3179			3.81887
$477$	−3.52797	−	1.14631i	−0.161535	−	0.0524858i
$478$	9.53530	−	13.1242i	0.436135	−	0.600288i
$479$	−6.99515	−	5.08228i	−0.319617	−	0.232215i	0.416395	−	0.909184i	$-0.363293\pi$
$479$	−6.99515	−	5.08228i	−0.319617	−	0.232215i	−0.736012	+	0.676969i	$0.763293\pi$
$480$	−7.18546	+	5.04396i	−0.327970	+	0.230224i
$481$	7.95113	−	5.77684i	0.362540	−	0.263401i
$482$			66.8734i			3.04600i
$483$	−11.2362	−	15.4654i	−0.511267	−	0.703698i
$484$	2.62471	+	8.07802i	0.119305	+	0.367183i
$485$	−13.3727	−	19.0503i	−0.607221	−	0.865028i
$486$	−0.726446	+	2.23577i	−0.0329523	+	0.101417i
$487$	2.70539	−	0.879035i	0.122593	−	0.0398329i	−0.247078	−	0.968996i	$-0.579470\pi$
$487$	2.70539	−	0.879035i	0.122593	−	0.0398329i	0.369671	+	0.929163i	$0.379470\pi$
$488$	21.9678	−	7.13776i	0.994434	−	0.323111i
$489$	−3.07160	+	9.45343i	−0.138903	+	0.427499i
$490$	16.1830	−	21.5283i	0.731072	−	0.972550i
$491$	11.3731	+	35.0028i	0.513260	+	1.57965i	0.786425	+	0.617686i	$0.211930\pi$
$491$	11.3731	+	35.0028i	0.513260	+	1.57965i	−0.273165	+	0.961967i	$0.588070\pi$
$492$	−3.47953	−	4.78917i	−0.156869	−	0.215912i
$493$			17.3437i			0.781121i
$494$	10.5221	−	7.64474i	0.473411	−	0.343953i
$495$	−2.12651	+	6.19959i	−0.0955797	+	0.278651i
$496$	−0.467680	−	0.339789i	−0.0209994	−	0.0152570i
$497$	−1.49116	+	2.05240i	−0.0668876	+	0.0920628i
$498$	−22.6154	−	7.34818i	−1.01342	−	0.329280i
$499$	−5.85775			−0.262229			−0.131114	−	0.991367i	$-0.541856\pi$
$499$	−5.85775			−0.262229			−0.131114	+	0.991367i	$0.541856\pi$
$500$	−39.3794	−	1.92409i	−1.76110	−	0.0860480i
$501$	−5.57767			−0.249192
$502$	27.5577	+	8.95405i	1.22996	+	0.399639i
$503$	−17.8025	+	24.5030i	−0.793773	+	1.09253i	0.199855	+	0.979825i	$0.435953\pi$
$503$	−17.8025	+	24.5030i	−0.793773	+	1.09253i	−0.993628	+	0.112709i	$0.964047\pi$
$504$	10.1079	+	7.34383i	0.450243	+	0.327120i
$505$	5.55546	−	16.1963i	0.247215	−	0.720724i
$506$	30.6054	−	22.2361i	1.36058	−	0.988517i
$507$		−	9.48157i		−	0.421091i
$508$	−21.9154	−	30.1640i	−0.972340	−	1.33831i
$509$	−4.67944	−	14.4018i	−0.207413	−	0.638350i	−0.999606	−	0.0280797i	$-0.991061\pi$
$509$	−4.67944	−	14.4018i	−0.207413	−	0.638350i	0.792193	−	0.610270i	$-0.208939\pi$
$510$	21.4329	−	28.5123i	0.949064	−	1.26255i
$511$	−3.86560	+	11.8971i	−0.171004	+	0.526296i
$512$	−14.6004	+	4.74395i	−0.645251	+	0.209655i
$513$	−2.80514	+	0.911446i	−0.123850	+	0.0402413i
$514$	−15.1300	+	46.5654i	−0.667356	+	2.05391i
$515$	3.83619	+	5.46491i	0.169043	+	0.240813i
$516$	−11.9033	−	36.6345i	−0.524013	−	1.61275i
$517$	−12.9073	−	17.7654i	−0.567662	−	0.781320i
$518$			42.8877i			1.88438i
$519$	−13.4039	+	9.73854i	−0.588368	+	0.427474i
$520$	−12.3184	+	8.64710i	−0.540197	+	0.379201i
$521$	−31.6190	−	22.9726i	−1.38525	−	1.00645i	−0.996367	−	0.0851601i	$-0.972860\pi$
$521$	−31.6190	−	22.9726i	−1.38525	−	1.00645i	−0.388887	−	0.921286i	$-0.627140\pi$
$522$	−3.53175	+	4.86103i	−0.154580	+	0.212762i
$523$	−36.8987	−	11.9891i	−1.61347	−	0.524248i	−0.643081	−	0.765798i	$-0.722344\pi$
$523$	−36.8987	−	11.9891i	−1.61347	−	0.524248i	−0.970388	+	0.241550i	$0.922344\pi$
$524$	31.8296			1.39048
$525$	−4.83815	−	16.7237i	−0.211154	−	0.729880i
$526$	5.25449			0.229107
$527$	−2.69813	−	0.876674i	−0.117532	−	0.0381885i
$528$	−2.38220	+	3.27881i	−0.103672	+	0.142692i
$529$	5.77819	+	4.19810i	0.251226	+	0.182526i
$530$	5.72311	+	18.6408i	0.248596	+	0.809704i
$531$	5.75093	−	4.17830i	0.249569	−	0.181323i
$532$			36.2155i			1.57014i
$533$	1.85082	+	2.54743i	0.0801678	+	0.110341i
$534$	0.208862	+	0.642811i	0.00903835	+	0.0278172i
$535$	14.9583	+	5.13082i	0.646702	+	0.221825i
$536$	11.1345	−	34.2685i	0.480938	−	1.48017i
$537$	5.09787	−	1.65640i	0.219989	−	0.0714788i
$538$	43.1585	−	14.0231i	1.86070	−	0.604577i
$539$	−4.64070	+	14.2826i	−0.199889	+	0.615196i
$540$	7.53800	−	2.31432i	0.324384	−	0.0995926i
$541$	4.39669	+	13.5316i	0.189029	+	0.581770i	0.999994	−	0.00332312i	$-0.00105778\pi$
$541$	4.39669	+	13.5316i	0.189029	+	0.581770i	−0.810966	+	0.585094i	$0.801058\pi$
$542$	−16.5001	−	22.7104i	−0.708738	−	0.975494i
$543$			0.327745i			0.0140649i
$544$	−21.5533	+	15.6594i	−0.924091	+	0.671391i
$545$	29.7406	+	0.484037i	1.27395	+	0.0207339i
$546$	−12.4213	−	9.02462i	−0.531583	−	0.386218i
$547$	−23.1134	+	31.8129i	−0.988259	+	1.36022i	−0.0559991	+	0.998431i	$0.517834\pi$
$547$	−23.1134	+	31.8129i	−0.988259	+	1.36022i	−0.932259	+	0.361790i	$0.882166\pi$
$548$	−65.9512	−	21.4288i	−2.81730	−	0.915395i
$549$	6.43710			0.274729
$550$	33.0955	−	9.57454i	1.41120	−	0.408260i
$551$	−7.53873			−0.321161
$552$	−18.7363	−	6.08779i	−0.797470	−	0.259114i
$553$	6.28849	−	8.65537i	0.267414	−	0.368064i
$554$	49.7272	+	36.1290i	2.11271	+	1.53497i
$555$	9.36518	+	7.03987i	0.397530	+	0.298826i
$556$	33.2422	−	24.1519i	1.40978	−	1.02427i
$557$		−	35.3849i		−	1.49931i	−0.661830	−	0.749654i	$-0.730220\pi$
$557$		−	35.3849i		−	1.49931i	0.661830	−	0.749654i	$-0.269780\pi$
$558$	−0.577701	−	0.795138i	−0.0244561	−	0.0336609i
$559$	6.33154	+	19.4865i	0.267796	+	0.824190i
$560$	0.175185	−	10.7639i	0.00740294	−	0.454858i
$561$	−6.14619	+	18.9160i	−0.259492	+	0.798636i
$562$	22.6302	−	7.35299i	0.954597	−	0.310167i
$563$	−14.3025	+	4.64717i	−0.602780	+	0.195855i	−0.594480	−	0.804111i	$-0.702642\pi$
$563$	−14.3025	+	4.64717i	−0.602780	+	0.195855i	−0.00830000	+	0.999966i	$0.502642\pi$
$564$	−8.16392	+	25.1260i	−0.343763	+	1.05799i
$565$	−0.364726	+	22.4098i	−0.0153441	+	0.942786i
$566$	−23.1473	−	71.2401i	−0.972954	−	2.99444i
$567$	2.04660	+	2.81691i	0.0859492	+	0.118299i
$568$			2.61445i			0.109700i
$569$	−2.20383	+	1.60118i	−0.0923895	+	0.0671249i	−0.633021	−	0.774135i	$-0.718185\pi$
$569$	−2.20383	+	1.60118i	−0.0923895	+	0.0671249i	0.540632	+	0.841260i	$0.318185\pi$
$570$	12.3934	+	9.31616i	0.519100	+	0.390211i
$571$	−10.2127	−	7.41997i	−0.427389	−	0.310516i	0.353215	−	0.935542i	$-0.385088\pi$
$571$	−10.2127	−	7.41997i	−0.427389	−	0.310516i	−0.780604	+	0.625026i	$0.785088\pi$
$572$	11.3961	−	15.6854i	0.476495	−	0.655839i
$573$	3.30009	+	1.07226i	0.137863	+	0.0447944i
$574$	−13.7406			−0.573522
$575$	15.4040	+	22.7216i	0.642392	+	0.947557i
$576$	−11.9951			−0.499794
$577$	22.4301	+	7.28797i	0.933776	+	0.303402i	0.736106	−	0.676866i	$-0.236662\pi$
$577$	22.4301	+	7.28797i	0.933776	+	0.303402i	0.197670	+	0.980269i	$0.436662\pi$
$578$	40.1342	−	55.2399i	1.66936	−	2.29768i
$579$	19.6700	+	14.2911i	0.817455	+	0.593916i
$580$	20.1516	+	0.327973i	0.836748	+	0.0136183i
$581$	−28.4937	+	20.7019i	−1.18212	+	0.858858i
$582$		−	24.4699i		−	1.01431i
$583$	−6.39100	−	8.79646i	−0.264688	−	0.364312i
$584$	3.98374	+	12.2607i	0.164849	+	0.507352i
$585$	−4.00958	+	1.23102i	−0.165776	+	0.0508966i
$586$	12.0761	−	37.1663i	0.498857	−	1.53532i
$587$	−21.5673	+	7.00764i	−0.890177	+	0.289236i	−0.718177	−	0.695861i	$-0.755023\pi$
$587$	−21.5673	+	7.00764i	−0.890177	+	0.289236i	−0.172000	+	0.985097i	$0.555023\pi$
$588$	17.1833	−	5.58321i	0.708629	−	0.230248i
$589$	0.381061	−	1.17279i	0.0157013	−	0.0483238i
$590$	−35.3454	−	12.1238i	−1.45515	−	0.499128i
$591$	−4.62169	−	14.2241i	−0.190111	−	0.585102i
$592$	4.25837	+	5.86114i	0.175018	+	0.240891i
$593$		−	8.74287i		−	0.359027i	−0.983756	−	0.179513i	$-0.942548\pi$
$593$		−	8.74287i		−	0.359027i	0.983756	−	0.179513i	$-0.0574523\pi$
$594$	−5.57456	+	4.05015i	−0.228727	+	0.166180i
$595$	−15.5060	−	50.5046i	−0.635683	−	2.07049i
$596$	20.9124	+	15.1938i	0.856607	+	0.622362i
$597$	−6.65674	+	9.16222i	−0.272442	+	0.374985i
$598$	23.0245	+	7.48110i	0.941540	+	0.305925i
$599$	−16.3209			−0.666854			−0.333427	−	0.942776i	$-0.608205\pi$
$599$	−16.3209			−0.666854			−0.333427	+	0.942776i	$0.608205\pi$
$600$	−14.1641	−	11.0125i	−0.578249	−	0.449585i
$601$	36.2713			1.47954			0.739768	−	0.672862i	$-0.234935\pi$
$601$	36.2713			1.47954			0.739768	+	0.672862i	$0.234935\pi$
$602$	−85.0344	−	27.6294i	−3.46575	−	1.12609i
$603$	5.90225	−	8.12376i	0.240358	−	0.330825i
$604$	−47.7457	−	34.6893i	−1.94275	−	1.41149i
$605$	4.40816	−	3.09438i	0.179217	−	0.125804i
$606$	14.5634	−	10.5809i	0.591597	−	0.429820i
$607$			16.6820i			0.677102i	0.940948	+	0.338551i	$0.109937\pi$
$607$			16.6820i			0.677102i	−0.940948	+	0.338551i	$0.890063\pi$
$608$	−6.80662	−	9.36851i	−0.276045	−	0.379943i
$609$	2.75009	+	8.46390i	0.111439	+	0.342975i
$610$	−19.4410	−	27.6950i	−0.787142	−	1.12134i
$611$	4.34252	−	13.3649i	0.175679	−	0.540686i
$612$	22.7578	−	7.39445i	0.919929	−	0.298903i
$613$	−23.5831	+	7.66260i	−0.952511	+	0.309490i	−0.743736	−	0.668474i	$-0.766948\pi$
$613$	−23.5831	+	7.66260i	−0.952511	+	0.309490i	−0.208776	+	0.977964i	$0.566948\pi$
$614$	10.2896	−	31.6682i	0.415256	−	1.27803i
$615$	−2.25548	+	3.00047i	−0.0909495	+	0.120991i
$616$	11.3167	+	34.8291i	0.455961	+	1.40330i
$617$	16.4386	+	22.6257i	0.661791	+	0.910877i	0.999539	−	0.0303592i	$-0.00966511\pi$
$617$	16.4386	+	22.6257i	0.661791	+	0.910877i	−0.337748	+	0.941237i	$0.609665\pi$
$618$			7.01963i			0.282371i
$619$	22.0608	−	16.0281i	0.886697	−	0.644223i	−0.0483179	−	0.998832i	$-0.515386\pi$
$619$	22.0608	−	16.0281i	0.886697	−	0.644223i	0.935015	+	0.354609i	$0.115386\pi$
$620$	−1.06963	+	3.11836i	−0.0429572	+	0.125236i
$621$	−4.44166	−	3.22706i	−0.178238	−	0.129497i
$622$	−20.7958	+	28.6230i	−0.833836	+	1.14768i
$623$	0.952088	+	0.309352i	0.0381446	+	0.0123939i
$624$	−2.59359			−0.103827
$625$	6.16242	+	24.2286i	0.246497	+	0.969144i
$626$	−8.40365			−0.335878
$627$	−8.22217	−	2.67155i	−0.328362	−	0.106691i
$628$	16.3466	−	22.4991i	0.652299	−	0.897812i
$629$	28.7638	+	20.8982i	1.14689	+	0.833264i
$630$	5.93844	−	17.3128i	0.236593	−	0.689758i
$631$	−34.1893	+	24.8400i	−1.36105	+	0.988863i	−0.362676	+	0.931915i	$0.618137\pi$
$631$	−34.1893	+	24.8400i	−1.36105	+	0.988863i	−0.998377	+	0.0569481i	$0.981863\pi$
$632$		−	11.0256i		−	0.438575i
$633$	4.43356	+	6.10228i	0.176218	+	0.242544i
$634$	−9.28542	−	28.5776i	−0.368771	−	1.13496i
$635$	−14.2058	+	18.8981i	−0.563742	+	0.749949i
$636$	−4.04234	+	12.4410i	−0.160289	+	0.493319i
$637$	−9.14008	+	2.96979i	−0.362143	+	0.117667i
$638$	−16.7498	+	5.44233i	−0.663130	+	0.215464i
$639$	−0.225150	+	0.692941i	−0.00890681	+	0.0274123i
$640$	26.1389	+	37.2367i	1.03323	+	1.47191i
$641$	14.1671	+	43.6017i	0.559565	+	1.72217i	0.683571	+	0.729884i	$0.260426\pi$
$641$	14.1671	+	43.6017i	0.559565	+	1.72217i	−0.124006	+	0.992281i	$0.539574\pi$
$642$	9.77215	+	13.4502i	0.385676	+	0.530837i
$643$		−	46.6710i		−	1.84052i	−0.391304	−	0.920261i	$-0.627976\pi$
$643$		−	46.6710i		−	1.84052i	0.391304	−	0.920261i	$-0.372024\pi$
$644$	−54.5370	+	39.6235i	−2.14906	+	1.56138i
$645$	−19.9914	+	14.0333i	−0.787161	+	0.552560i
$646$	38.0644	+	27.6554i	1.49763	+	1.08809i
$647$	7.12775	−	9.81050i	0.280221	−	0.385691i	−0.645586	−	0.763687i	$-0.723387\pi$
$647$	7.12775	−	9.81050i	0.280221	−	0.385691i	0.925807	+	0.377997i	$0.123387\pi$
$648$	3.41268	+	1.10885i	0.134063	+	0.0435597i
$649$	20.8359			0.817880
$650$	17.4059	+	13.5330i	0.682715	+	0.530807i
$651$	−1.45572			−0.0570542
$652$	33.3366	+	10.8317i	1.30556	+	0.424202i
$653$	−1.01109	+	1.39164i	−0.0395670	+	0.0544593i	−0.828342	−	0.560223i	$-0.810716\pi$
$653$	−1.01109	+	1.39164i	−0.0395670	+	0.0544593i	0.788775	+	0.614682i	$0.210716\pi$
$654$	25.2989	+	18.3807i	0.989264	+	0.718743i
$655$	−5.92368	−	19.2941i	−0.231457	−	0.753881i
$656$	−1.87783	+	1.36432i	−0.0733168	+	0.0532678i
$657$			3.59269i			0.140164i
$658$	36.0445	+	49.6110i	1.40516	+	1.93404i
$659$	−1.69325	−	5.21129i	−0.0659596	−	0.203003i	0.912645	−	0.408754i	$-0.134036\pi$
$659$	−1.69325	−	5.21129i	−0.0659596	−	0.203003i	−0.978604	+	0.205751i	$0.934036\pi$
$660$	21.8622	+	7.49894i	0.850986	+	0.291896i
$661$	0.246425	−	0.758418i	0.00958482	−	0.0294990i	−0.946150	−	0.323729i	$-0.895063\pi$
$661$	0.246425	−	0.758418i	0.00958482	−	0.0294990i	0.955735	+	0.294230i	$0.0950633\pi$
$662$	10.5194	−	3.41796i	0.408848	−	0.132843i
$663$	−12.1052	+	3.93322i	−0.470128	+	0.152754i
$664$	−11.2163	+	34.5201i	−0.435276	+	1.33964i
$665$	21.9527	−	6.73993i	0.851288	−	0.261363i
$666$	3.80628	+	11.7145i	0.147490	+	0.453929i
$667$	−8.24814	−	11.3526i	−0.319369	−	0.439574i
$668$			19.6691i			0.761020i
$669$	6.30661	−	4.58202i	0.243827	−	0.177151i
$670$	−52.7774	−	0.858967i	−2.03897	−	0.0331848i
$671$	15.2644	+	11.0902i	0.589275	+	0.428133i
$672$	−8.03522	+	11.0595i	−0.309965	+	0.426631i
$673$	−48.8158	−	15.8612i	−1.88171	−	0.611405i	−0.985995	−	0.166777i	$-0.946664\pi$
$673$	−48.8158	−	15.8612i	−1.88171	−	0.611405i	−0.895716	−	0.444627i	$-0.853336\pi$
$674$	40.9156			1.57601
$675$	−2.80573	−	4.13858i	−0.107993	−	0.159294i
$676$	−33.4358			−1.28599
$677$	−14.3542	−	4.66397i	−0.551678	−	0.179251i	0.0198952	−	0.999802i	$-0.493667\pi$
$677$	−14.3542	−	4.66397i	−0.551678	−	0.179251i	−0.571573	+	0.820551i	$0.693667\pi$
$678$	−13.8500	+	19.0629i	−0.531906	+	0.732106i
$679$	−29.3213	−	21.3032i	−1.12525	−	0.817540i
$680$	−43.5212	−	32.7152i	−1.66896	−	1.25457i
$681$	−10.3813	+	7.54242i	−0.397811	+	0.289026i
$682$		−	2.88082i		−	0.110312i
$683$	6.38347	+	8.78610i	0.244257	+	0.336191i	0.913490	−	0.406862i	$-0.133377\pi$
$683$	6.38347	+	8.78610i	0.244257	+	0.336191i	−0.669233	+	0.743053i	$0.733377\pi$
$684$	3.21412	+	9.89205i	0.122895	+	0.378232i
$685$	−0.715551	+	43.9655i	−0.0273398	+	1.67984i
$686$	−4.74634	+	14.6077i	−0.181216	+	0.557726i
$687$	13.7935	−	4.48177i	0.526253	−	0.170990i
$688$	−14.3644	+	4.66726i	−0.547636	+	0.177938i
$689$	2.15018	−	6.61758i	0.0819154	−	0.252110i
$690$	−0.469640	+	28.8560i	−0.0178789	+	1.09853i
$691$	2.60981	+	8.03217i	0.0992818	+	0.305558i	0.988346	−	0.152225i	$-0.0486438\pi$
$691$	2.60981	+	8.03217i	0.0992818	+	0.305558i	−0.889064	+	0.457783i	$0.848644\pi$
$692$	34.3420	+	47.2677i	1.30549	+	1.79685i
$693$			10.2058i			0.387686i
$694$	26.6463	−	19.3597i	1.01148	−	0.734883i
$695$	−20.8267	−	15.6555i	−0.790000	−	0.593848i
$696$	7.41988	+	5.39086i	0.281250	+	0.204340i
$697$	−6.69548	+	9.21553i	−0.253609	+	0.349063i
$698$	80.3668	+	26.1127i	3.04193	+	0.988382i
$699$	11.3970			0.431076
$700$	−58.9743	+	17.0613i	−2.22902	+	0.644855i
$701$	48.9399			1.84843			0.924216	−	0.381869i	$-0.124719\pi$
$701$	48.9399			1.84843			0.924216	+	0.381869i	$0.124719\pi$
$702$	−4.19374	−	1.36263i	−0.158283	−	0.0514291i
$703$	−9.08373	+	12.5027i	−0.342599	+	0.471548i
$704$	−28.4440	−	20.6658i	−1.07203	−	0.778872i
$705$	16.7499	+	0.272610i	0.630838	+	0.0102671i
$706$	−16.7401	+	12.1624i	−0.630023	+	0.457739i
$707$		−	26.6623i		−	1.00274i
$708$	−14.7343	−	20.2801i	−0.553750	−	0.762172i
$709$	−7.65850	−	23.5705i	−0.287621	−	0.885207i	−0.985601	−	0.169089i	$-0.945917\pi$
$709$	−7.65850	−	23.5705i	−0.287621	−	0.885207i	0.697980	−	0.716118i	$-0.254083\pi$
$710$	3.66130	−	1.12410i	0.137406	−	0.0421866i
$711$	0.949501	−	2.92226i	0.0356091	−	0.109593i
$712$	0.981187	−	0.318807i	0.0367716	−	0.0119478i
$713$	2.18302	−	0.709306i	0.0817547	−	0.0265637i
$714$	17.1637	−	52.8244i	0.642334	−	1.97690i
$715$	−11.6289	−	3.98880i	−0.434895	−	0.149173i
$716$	−5.84112	−	17.9771i	−0.218293	−	0.671836i
$717$	−4.05614	−	5.58280i	−0.151479	−	0.208494i
$718$			14.1746i			0.528992i
$719$	−14.7379	+	10.7077i	−0.549631	+	0.399331i	−0.827650	−	0.561245i	$-0.810322\pi$
$719$	−14.7379	+	10.7077i	−0.549631	+	0.399331i	0.278018	+	0.960576i	$0.410322\pi$
$720$	−0.907443	−	2.95564i	−0.0338184	−	0.110150i
$721$	8.41134	+	6.11119i	0.313255	+	0.227593i
$722$	14.2330	−	19.5900i	0.529697	−	0.729065i
$723$	27.0545	+	8.79052i	1.00617	+	0.326923i
$724$	1.15576			0.0429534
$725$	−3.55152	−	12.2763i	−0.131900	−	0.455929i
$726$	5.66224			0.210145
$727$	−15.8540	−	5.15129i	−0.587994	−	0.191051i	−0.000115145	−	1.00000i	$-0.500037\pi$
$727$	−15.8540	−	5.15129i	−0.587994	−	0.191051i	−0.587878	+	0.808949i	$0.700037\pi$
$728$	−13.7752	+	18.9599i	−0.510542	+	0.702701i
$729$	0.809017	+	0.587785i	0.0299636	+	0.0217698i
$730$	15.4572	−	10.8504i	0.572097	−	0.401593i
$731$	−59.9657	+	43.5676i	−2.21791	+	1.61141i
$732$		−	22.6998i		−	0.839008i
$733$	−11.7935	−	16.2324i	−0.435604	−	0.599558i	0.533624	−	0.845722i	$-0.320830\pi$
$733$	−11.7935	−	16.2324i	−0.435604	−	0.599558i	−0.969228	+	0.246164i	$0.920830\pi$
$734$	−20.8971	−	64.3147i	−0.771326	−	2.37390i
$735$	−6.58228	−	9.37692i	−0.242791	−	0.345873i
$736$	6.66092	−	20.5002i	0.245525	−	0.755648i
$737$	27.9922	−	9.09522i	1.03111	−	0.335027i
$738$	−3.75317	+	1.21948i	−0.138156	+	0.0448896i
$739$	10.5242	−	32.3903i	0.387140	−	1.19149i	−0.547776	−	0.836625i	$-0.684525\pi$
$739$	10.5242	−	32.3903i	0.387140	−	1.19149i	0.934916	−	0.354870i	$-0.115475\pi$
$740$	24.8254	−	33.0254i	0.912600	−	1.21404i
$741$	−1.70964	−	5.26174i	−0.0628053	−	0.193295i
$742$	17.8473	+	24.5647i	0.655196	+	0.901800i
$743$		−	38.5355i		−	1.41373i	−0.707348	−	0.706865i	$-0.750109\pi$
$743$		−	38.5355i		−	1.41373i	0.707348	−	0.706865i	$-0.249891\pi$
$744$	−1.21370	+	0.881804i	−0.0444963	+	0.0323285i
$745$	5.31805	−	15.5041i	0.194838	−	0.568026i
$746$	−63.9026	−	46.4280i	−2.33964	−	1.69985i
$747$	−5.94559	+	8.18340i	−0.217538	+	0.299415i
$748$	66.7055	+	21.6739i	2.43900	+	0.792478i
$749$	24.6244			0.899754
$750$	−9.33213	+	24.5705i	−0.340761	+	0.897189i
$751$	−36.0351			−1.31494			−0.657470	−	0.753481i	$-0.728373\pi$
$751$	−36.0351			−1.31494			−0.657470	+	0.753481i	$0.728373\pi$
$752$	9.85187	+	3.20107i	0.359261	+	0.116731i
$753$	7.24494	−	9.97181i	0.264020	−	0.363393i
$754$	−9.11807	−	6.62466i	−0.332060	−	0.241256i
$755$	−12.1418	+	35.3978i	−0.441884	+	1.28826i
$756$	9.93354	−	7.21714i	0.361279	−	0.262485i
$757$		−	35.0131i		−	1.27257i	−0.771453	−	0.636287i	$-0.780470\pi$
$757$		−	35.0131i		−	1.27257i	0.771453	−	0.636287i	$-0.219530\pi$
$758$	−6.40322	−	8.81328i	−0.232576	−	0.320113i
$759$	−4.97281	−	15.3047i	−0.180502	−	0.555527i
$760$	14.2202	−	18.9172i	0.515821	−	0.686200i
$761$	9.69007	−	29.8230i	0.351265	−	1.08108i	−0.606879	−	0.794794i	$-0.707579\pi$
$761$	9.69007	−	29.8230i	0.351265	−	1.08108i	0.958144	−	0.286288i	$-0.0924213\pi$
$762$	−23.6389	+	7.68074i	−0.856347	+	0.278244i
$763$	44.0497	−	14.3126i	1.59471	−	0.518152i
$764$	3.78123	−	11.6374i	0.136800	−	0.421027i
$765$	−8.71764	−	12.4189i	−0.315187	−	0.449006i
$766$	−9.37534	−	28.8543i	−0.338745	−	1.04255i
$767$	7.83742	+	10.7873i	0.282993	+	0.389506i
$768$			23.8400i			0.860253i
$769$	1.94014	−	1.40959i	0.0699633	−	0.0508313i	−0.552254	−	0.833676i	$-0.686232\pi$
$769$	1.94014	−	1.40959i	0.0699633	−	0.0508313i	0.622217	+	0.782845i	$0.286232\pi$
$770$	43.9094	−	30.8230i	1.58239	−	1.11078i
$771$	16.8497	+	12.2421i	0.606829	+	0.440887i
$772$	50.3960	−	69.3641i	1.81379	−	2.49647i
$773$	−10.3880	−	3.37526i	−0.373630	−	0.121400i	0.116182	−	0.993228i	$-0.462935\pi$
$773$	−10.3880	−	3.37526i	−0.373630	−	0.121400i	−0.489812	+	0.871828i	$0.662935\pi$
$774$	−25.6788			−0.923004
$775$	2.08931	+	0.0680264i	0.0750503	+	0.00244358i
$776$	−37.3508			−1.34082
$777$	17.3507	+	5.63760i	0.622454	+	0.202248i
$778$	−24.2152	+	33.3293i	−0.868156	+	1.19491i
$779$	−4.00568	−	2.91030i	−0.143519	−	0.104272i
$780$	4.34108	+	14.1394i	0.155436	+	0.506271i
$781$	−1.72774	+	1.25528i	−0.0618236	+	0.0449174i
$782$			87.5792i			3.13183i
$783$	1.50234	+	2.06779i	0.0536893	+	0.0738970i
$784$	−2.18917	−	6.73757i	−0.0781846	−	0.240627i
$785$	−16.6804	−	5.72154i	−0.595350	−	0.204210i
$786$	6.55696	−	20.1802i	0.233879	−	0.719806i
$787$	11.0060	−	3.57607i	0.392321	−	0.127473i	−0.106212	−	0.994344i	$-0.533872\pi$
$787$	11.0060	−	3.57607i	0.392321	−	0.127473i	0.498533	+	0.866871i	$0.333872\pi$
$788$	−50.1599	+	16.2979i	−1.78687	+	0.580590i
$789$	0.690704	−	2.12577i	0.0245897	−	0.0756794i
$790$	−15.4404	+	4.74053i	−0.549345	+	0.168660i
$791$	10.7847	+	33.1918i	0.383459	+	1.18017i
$792$	6.18216	+	8.50901i	0.219673	+	0.302354i
$793$			12.0744i			0.428773i
$794$	−51.3837	+	37.3324i	−1.82354	+	1.32488i
$795$	8.29366	+	0.134982i	0.294146	+	0.00478731i
$796$	32.3096	+	23.4743i	1.14518	+	0.832026i
$797$	−12.8680	+	17.7113i	−0.455808	+	0.627366i	−0.973633	−	0.228121i	$-0.926742\pi$
$797$	−12.8680	+	17.7113i	−0.455808	+	0.627366i	0.517825	+	0.855487i	$0.326742\pi$
$798$	22.9610	+	7.46048i	0.812810	+	0.264098i
$799$	50.8367			1.79847
$800$	12.0493	−	15.4976i	0.426007	−	0.547923i
$801$	0.287512			0.0101587
$802$	35.7259	+	11.6081i	1.26153	+	0.409895i
$803$	−6.18970	+	8.51940i	−0.218430	+	0.300643i
$804$	−28.6476	−	20.8137i	−1.01032	−	0.734043i
$805$	34.1682	+	25.6844i	1.20427	+	0.905257i
$806$	1.49148	−	1.08362i	0.0525350	−	0.0381689i
$807$		−	19.3036i		−	0.679520i
$808$	−16.1507	−	22.2295i	−0.568180	−	0.782033i
$809$	6.65926	+	20.4951i	0.234127	+	0.720570i	0.997236	+	0.0742994i	$0.0236721\pi$
$809$	6.65926	+	20.4951i	0.234127	+	0.720570i	−0.763109	+	0.646270i	$0.776328\pi$
$810$	0.0855416	−	5.25592i	0.00300563	−	0.184674i
$811$	−13.5848	+	41.8098i	−0.477028	+	1.46814i	0.366175	+	0.930546i	$0.380667\pi$
$811$	−13.5848	+	41.8098i	−0.477028	+	1.46814i	−0.843203	+	0.537596i	$0.819333\pi$
$812$	29.8471	−	9.69791i	1.04743	−	0.340330i
$813$	−11.3567	+	3.69001i	−0.398297	+	0.129414i
$814$	−11.1566	+	34.3365i	−0.391039	+	1.20349i
$815$	0.361692	−	22.2234i	0.0126695	−	0.778452i
$816$	−2.89936	−	8.92331i	−0.101498	−	0.312378i
$817$	−18.9374	−	26.0651i	−0.662535	−	0.911901i
$818$		−	72.8667i		−	2.54772i
$819$	−5.28380	+	3.83891i	−0.184631	+	0.134142i
$820$	10.5809	+	7.95371i	0.369500	+	0.277756i
$821$	−27.1070	−	19.6944i	−0.946042	−	0.687340i	0.00382568	−	0.999993i	$-0.498782\pi$
$821$	−27.1070	−	19.6944i	−0.946042	−	0.687340i	−0.949867	+	0.312653i	$0.898782\pi$
$822$	−27.1722	+	37.3993i	−0.947739	+	1.30445i
$823$	53.2458	+	17.3006i	1.85603	+	0.603061i	0.995623	+	0.0934576i	$0.0297920\pi$
$823$	53.2458	+	17.3006i	1.85603	+	0.603061i	0.860409	+	0.509604i	$0.170208\pi$
$824$	10.7148			0.373266
$825$	0.476920	−	14.6478i	0.0166042	−	0.509970i
$826$	−58.1857			−2.02454
$827$	38.8126	+	12.6110i	1.34965	+	0.438527i	0.892574	−	0.450901i	$-0.148897\pi$
$827$	38.8126	+	12.6110i	1.34965	+	0.438527i	0.457074	+	0.889429i	$0.348897\pi$
$828$	−11.3799	+	15.6631i	−0.395478	+	0.544329i
$829$	0.0994391	+	0.0722468i	0.00345366	+	0.00250923i	0.589511	−	0.807761i	$-0.299321\pi$
$829$	0.0994391	+	0.0722468i	0.00345366	+	0.00250923i	−0.586057	+	0.810270i	$0.699321\pi$
$830$	53.1649	+	0.865274i	1.84538	+	0.0300341i
$831$	21.1531	−	15.3686i	0.733791	−	0.533131i
$832$		−	22.4997i		−	0.780036i
$833$	−20.4353	−	28.1267i	−0.708040	−	0.974534i
$834$	−8.46455	−	26.0512i	−0.293103	−	0.902080i
$835$	11.9228	−	3.66054i	0.412604	−	0.126678i
$836$	−9.42094	+	28.9947i	−0.325830	+	1.00280i
$837$	−0.397622	+	0.129195i	−0.0137438	+	0.00446564i
$838$	−57.9408	+	18.8261i	−2.00153	+	0.650337i
$839$	−4.57603	+	14.0836i	−0.157982	+	0.486219i	−0.998451	−	0.0556411i	$-0.982280\pi$
$839$	−4.57603	+	14.0836i	−0.157982	+	0.486219i	0.840469	+	0.541860i	$0.182280\pi$
$840$	−26.4262	−	9.06443i	−0.911792	−	0.312753i
$841$	−6.94275	−	21.3676i	−0.239405	−	0.736813i
$842$	5.42552	+	7.46759i	0.186976	+	0.257350i
$843$		−	10.1219i		−	0.348616i
$844$	21.5191	−	15.6345i	0.740717	−	0.538162i
$845$	6.22261	+	20.2677i	0.214064	+	0.697231i
$846$	14.2483	+	10.3520i	0.489867	+	0.355910i
$847$	4.92947	−	6.78483i	0.169379	−	0.233130i
$848$	4.87812	+	1.58500i	0.167515	+	0.0544290i
$849$	−31.8638			−1.09356
$850$	−27.1025	+	75.0137i	−0.929609	+	2.57295i
$851$	−28.7664			−0.986098
$852$	2.44359	+	0.793970i	0.0837160	+	0.0272010i
$853$	4.27011	−	5.87730i	0.146206	−	0.201235i	−0.729633	−	0.683839i	$-0.760309\pi$
$853$	4.27011	−	5.87730i	0.146206	−	0.201235i	0.875839	+	0.482604i	$0.160309\pi$
$854$	−42.6269	−	30.9702i	−1.45866	−	1.05978i
$855$	5.39808	−	3.78927i	0.184610	−	0.129590i
$856$	20.5304	−	14.9162i	0.701715	−	0.509826i
$857$			26.8175i			0.916068i	0.888935	+	0.458034i	$0.151446\pi$
$857$			26.8175i			0.916068i	−0.888935	+	0.458034i	$0.848554\pi$
$858$	−7.59706	−	10.4565i	−0.259359	−	0.356978i
$859$	6.36691	+	19.5953i	0.217236	+	0.668584i	0.998987	+	0.0449937i	$0.0143268\pi$
$859$	6.36691	+	19.5953i	0.217236	+	0.668584i	−0.781751	+	0.623591i	$0.785673\pi$
$860$	49.4870	+	70.4977i	1.68749	+	2.40395i
$861$	−1.80621	+	5.55893i	−0.0615554	+	0.189448i
$862$	−79.2876	+	25.7621i	−2.70055	+	0.877461i
$863$	−13.0759	+	4.24862i	−0.445109	+	0.144625i	−0.522991	−	0.852338i	$-0.675184\pi$
$863$	−13.0759	+	4.24862i	−0.445109	+	0.144625i	0.0778827	+	0.996963i	$0.475184\pi$
$864$	−1.21324	+	3.73397i	−0.0412753	+	0.127032i
$865$	22.2609	−	29.6138i	0.756893	−	1.00690i
$866$	7.33413	+	22.5721i	0.249224	+	0.767033i
$867$	−17.0723	−	23.4981i	−0.579807	−	0.798036i
$868$			5.13346i			0.174241i
$869$	7.28622	−	5.29375i	0.247168	−	0.179578i
$870$	4.35921	−	12.7087i	0.147791	−	0.430866i
$871$	15.2381	+	11.0711i	0.516324	+	0.375131i
$872$	28.0563	−	38.6162i	0.950107	−	1.30771i
$873$	−9.89959	−	3.21657i	−0.335050	−	0.108864i
$874$	−38.0678			−1.28766
$875$	21.3175	+	32.5731i	0.720662	+	1.10117i
$876$	12.6693			0.428055
$877$	−20.9641	−	6.81166i	−0.707909	−	0.230014i	−0.0671357	−	0.997744i	$-0.521386\pi$
$877$	−20.9641	−	6.81166i	−0.707909	−	0.230014i	−0.640773	+	0.767730i	$0.721386\pi$
$878$	9.81840	−	13.5139i	0.331355	−	0.456071i
$879$	−13.4487	−	9.77103i	−0.453612	−	0.329569i
$880$	2.94033	−	8.57216i	0.0991184	−	0.288967i
$881$	7.31294	−	5.31316i	0.246379	−	0.179005i	−0.457741	−	0.889085i	$-0.651341\pi$
$881$	7.31294	−	5.31316i	0.246379	−	0.179005i	0.704121	+	0.710080i	$0.251341\pi$
$882$		−	12.0446i		−	0.405561i
$883$	0.941165	+	1.29540i	0.0316727	+	0.0435937i	0.824560	−	0.565775i	$-0.191423\pi$
$883$	0.941165	+	1.29540i	0.0316727	+	0.0435937i	−0.792887	+	0.609369i	$0.791423\pi$
$884$	13.8701	+	42.6879i	0.466503	+	1.43575i
$885$	−9.55098	+	12.7057i	−0.321053	+	0.427098i
$886$	15.0259	−	46.2450i	0.504805	−	1.55363i
$887$	16.5724	−	5.38470i	0.556447	−	0.180801i	−0.0172750	−	0.999851i	$-0.505499\pi$
$887$	16.5724	−	5.38470i	0.556447	−	0.180801i	0.573722	+	0.819050i	$0.305499\pi$
$888$	17.8811	−	5.80991i	0.600049	−	0.194968i
$889$	−11.3762	+	35.0123i	−0.381545	+	1.17427i
$890$	−0.868329	−	1.23699i	−0.0291064	−	0.0414641i
$891$	0.905762	+	2.78765i	0.0303442	+	0.0933897i
$892$	−16.1580	−	22.2396i	−0.541011	−	0.744638i
$893$			22.0970i			0.739448i
$894$	13.9410	−	10.1287i	0.466257	−	0.338756i
$895$	−9.81008	+	6.88635i	−0.327915	+	0.230185i
$896$	57.3129	+	41.6403i	1.91469	+	1.39110i
$897$	6.05314	−	8.33143i	0.202108	−	0.278178i
$898$	43.5842	+	14.1614i	1.45442	+	0.472571i
$899$	−1.06860			−0.0356397
$900$	−14.5943	+	9.89414i	−0.486476	+	0.329805i
$901$	25.1716			0.838588
$902$	−11.0009	−	3.57442i	−0.366291	−	0.119015i
$903$	−22.3556	+	30.7698i	−0.743947	+	1.02396i
$904$	29.0976	+	21.1406i	0.967772	+	0.703128i
$905$	−0.215094	−	0.700584i	−0.00714996	−	0.0232882i
$906$	−31.8291	+	23.1252i	−1.05745	+	0.768283i
$907$			20.8690i			0.692942i	0.938061	+	0.346471i	$0.112620\pi$
$907$			20.8690i			0.692942i	−0.938061	+	0.346471i	$0.887380\pi$
$908$	26.5976	+	36.6085i	0.882673	+	1.21489i
$909$	−2.36628	−	7.28266i	−0.0784845	−	0.241550i
$910$	32.4744	+	11.1390i	1.07652	+	0.369254i
$911$	15.1958	−	46.7680i	0.503461	−	1.54949i	−0.299882	−	0.953976i	$-0.596947\pi$
$911$	15.1958	−	46.7680i	0.503461	−	1.54949i	0.803343	−	0.595517i	$-0.203053\pi$
$912$	3.87866	−	1.26025i	0.128435	−	0.0417312i
$913$	−28.1977	+	9.16200i	−0.933209	+	0.303218i
$914$	3.15418	−	9.70758i	0.104331	−	0.321098i
$915$	−13.7599	+	4.22457i	−0.454887	+	0.139660i
$916$	−15.8045	−	48.6413i	−0.522196	−	1.60715i
$917$	−18.4728	−	25.4256i	−0.610025	−	0.839627i
$918$		−	15.9519i		−	0.526492i
$919$	−9.05765	+	6.58077i	−0.298784	+	0.217079i	−0.727069	−	0.686564i	$-0.759118\pi$
$919$	−9.05765	+	6.58077i	−0.298784	+	0.217079i	0.428285	+	0.903644i	$0.359118\pi$
$920$	44.0458	+	0.716859i	1.45215	+	0.0236341i
$921$	−11.4592	−	8.32559i	−0.377593	−	0.274338i
$922$	−16.2908	+	22.4224i	−0.536510	+	0.738443i
$923$	−1.29978	−	0.422325i	−0.0427829	−	0.0139010i
$924$	35.9897			1.18397
$925$	−24.6391	−	8.90213i	−0.810128	−	0.292700i
$926$	−21.3425			−0.701357
$927$	2.83987	+	0.922731i	0.0932737	+	0.0303065i
$928$	−5.89838	+	8.11842i	−0.193624	+	0.266500i
$929$	39.0181	+	28.3483i	1.28014	+	0.930077i	0.999557	−	0.0297529i	$-0.00947204\pi$
$929$	39.0181	+	28.3483i	1.28014	+	0.930077i	0.280584	+	0.959830i	$0.409472\pi$
$930$	1.75673	+	1.32054i	0.0576053	+	0.0433023i
$931$	12.2258	−	8.88253i	0.400683	−	0.291113i
$932$		−	40.1906i		−	1.31649i
$933$	8.84615	+	12.1757i	0.289610	+	0.398614i
$934$	25.3662	+	78.0690i	0.830006	+	2.55450i
$935$	0.723736	−	44.4684i	0.0236687	−	1.45427i
$936$	−2.07992	+	6.40133i	−0.0679842	+	0.209234i
$937$	48.0661	−	15.6176i	1.57025	−	0.510205i	0.610728	−	0.791840i	$-0.290877\pi$
$937$	48.0661	−	15.6176i	1.57025	−	0.510205i	0.959522	+	0.281635i	$0.0908768\pi$
$938$	−78.1702	+	25.3990i	−2.55235	+	0.829308i
$939$	−1.10466	+	3.39980i	−0.0360493	+	0.110948i
$940$	0.961330	−	59.0669i	0.0313551	−	1.92655i
$941$	−11.7934	−	36.2965i	−0.384455	−	1.18323i	−0.936875	−	0.349665i	$-0.886295\pi$
$941$	−11.7934	−	36.2965i	−0.384455	−	1.18323i	0.552420	−	0.833566i	$-0.313705\pi$
$942$	−10.8972	−	14.9987i	−0.355051	−	0.488686i
$943$		−	9.21634i		−	0.300125i
$944$	−7.95180	+	5.77732i	−0.258809	+	0.188036i
$945$	−6.22349	−	4.67824i	−0.202450	−	0.152183i
$946$	−60.8924	−	44.2409i	−1.97978	−	1.43840i
$947$	−14.4119	+	19.8363i	−0.468323	+	0.644592i	−0.976209	−	0.216833i	$-0.930427\pi$
$947$	−14.4119	+	19.8363i	−0.468323	+	0.644592i	0.507885	+	0.861425i	$0.330427\pi$
$948$	−10.3051	−	3.34832i	−0.334693	−	0.108748i
$949$	−6.73897			−0.218756
$950$	−32.6060	−	11.7806i	−1.05788	−	0.382212i
$951$	−12.7820			−0.414484
$952$	−80.6311	−	26.1986i	−2.61327	−	0.849103i
$953$	7.64232	−	10.5187i	0.247559	−	0.340736i	−0.667096	−	0.744972i	$-0.732463\pi$
$953$	7.64232	−	10.5187i	0.247559	−	0.340736i	0.914655	+	0.404236i	$0.132463\pi$
$954$	7.05501	+	5.12576i	0.228414	+	0.165953i
$955$	−7.75794	−	0.126263i	−0.251041	−	0.00408577i
$956$	−19.6872	+	14.3036i	−0.636729	+	0.462611i
$957$			7.49172i			0.242173i
$958$	11.9476	+	16.4444i	0.386008	+	0.531295i
$959$	21.1583	+	65.1187i	0.683239	+	2.10279i
$960$	25.6405	−	7.87217i	0.827544	−	0.254073i
$961$	−9.52551	+	29.3165i	−0.307275	+	0.945694i
$962$	−21.9735	+	7.13962i	−0.708453	+	0.230190i
$963$	6.72600	−	2.18541i	0.216742	−	0.0704238i
$964$	30.9989	−	95.4048i	0.998408	−	3.07278i
$965$	−51.4253	−	17.6393i	−1.65544	−	0.567830i
$966$	13.8869	+	42.7395i	0.446804	+	1.37512i
$967$	−25.4636	−	35.0476i	−0.818854	−	1.12706i	−0.989896	−	0.141792i	$-0.954714\pi$
$967$	−25.4636	−	35.0476i	−0.818854	−	1.12706i	0.171043	−	0.985264i	$-0.445286\pi$
$968$		−	8.64284i		−	0.277791i
$969$	16.1919	−	11.7641i	0.520159	−	0.377918i
$970$	16.0592	+	52.3066i	0.515630	+	1.67946i
$971$	23.8922	+	17.3587i	0.766738	+	0.557068i	0.900970	−	0.433882i	$-0.142857\pi$
$971$	23.8922	+	17.3587i	0.766738	+	0.557068i	−0.134231	+	0.990950i	$0.542857\pi$
$972$	2.07277	−	2.85292i	0.0664840	−	0.0915074i
$973$	−38.5853	−	12.5371i	−1.23699	−	0.401921i
$974$	−6.68721			−0.214272
$975$	7.76293	−	5.26285i	0.248613	−	0.168546i
$976$	−8.90056			−0.284900
$977$	57.6486	+	18.7312i	1.84434	+	0.599263i	0.997752	+	0.0670189i	$0.0213488\pi$
$977$	57.6486	+	18.7312i	1.84434	+	0.599263i	0.846591	+	0.532244i	$0.178651\pi$
$978$	13.7348	−	18.9044i	0.439191	−	0.604495i
$979$	0.681782	+	0.495343i	0.0217898	+	0.0158312i
$980$	−33.0668	+	23.2118i	−1.05628	+	0.741473i
$981$	10.7617	−	7.81882i	0.343594	−	0.249636i
$982$		−	86.5202i		−	2.76097i
$983$	23.6757	+	32.5868i	0.755138	+	1.03936i	0.997603	+	0.0691986i	$0.0220442\pi$
$983$	23.6757	+	32.5868i	0.755138	+	1.03936i	−0.242465	+	0.970160i	$0.577956\pi$
$984$	1.86141	+	5.72884i	0.0593397	+	0.182629i
$985$	19.2143	+	27.3722i	0.612220	+	0.872150i
$986$	12.5993	−	38.7766i	0.401243	−	1.23490i
$987$	24.8088	−	8.06087i	0.789673	−	0.256580i
$988$	−18.5550	+	6.02888i	−0.590313	+	0.191804i
$989$	18.5320	−	57.0357i	0.589284	−	1.81363i
$990$	9.25807	−	12.3161i	0.294241	−	0.391430i
$991$	11.7889	+	36.2824i	0.374485	+	1.15255i	0.943825	+	0.330445i	$0.107199\pi$
$991$	11.7889	+	36.2824i	0.374485	+	1.15255i	−0.569340	+	0.822102i	$0.692801\pi$
$992$	−0.964821	−	1.32796i	−0.0306331	−	0.0421628i
$993$		−	4.70504i		−	0.149310i
$994$	4.82485	−	3.50546i	0.153035	−	0.111186i
$995$	8.21636	−	23.9538i	0.260476	−	0.759386i
$996$	28.8580	+	20.9665i	0.914399	+	0.664350i
$997$	−15.6220	+	21.5018i	−0.494753	+	0.680969i	−0.981256	−	0.192710i	$-0.938272\pi$
$997$	−15.6220	+	21.5018i	−0.494753	+	0.680969i	0.486503	+	0.873679i	$0.338272\pi$
$998$	13.0966	+	4.25534i	0.414565	+	0.134700i
$999$	5.23959			0.165773

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.2.i.a.4.1	✓	16
3.2	odd	2		225.2.m.b.154.4		16
5.2	odd	4		375.2.g.d.226.4		16
5.3	odd	4		375.2.g.e.226.1		16
5.4	even	2		375.2.i.c.274.4		16
25.6	even	5		375.2.i.c.349.4		16
25.8	odd	20		375.2.g.e.151.1		16
25.9	even	10		1875.2.b.h.1249.15		16
25.12	odd	20		1875.2.a.p.1.7		8
25.13	odd	20		1875.2.a.m.1.2		8
25.16	even	5		1875.2.b.h.1249.2		16
25.17	odd	20		375.2.g.d.151.4		16
25.19	even	10	inner	75.2.i.a.19.1	yes	16
75.38	even	20		5625.2.a.bd.1.7		8
75.44	odd	10		225.2.m.b.19.4		16
75.62	even	20		5625.2.a.t.1.2		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.2.i.a.4.1	✓	16	1.1	even	1	trivial
75.2.i.a.19.1	yes	16	25.19	even	10	inner
225.2.m.b.19.4		16	75.44	odd	10
225.2.m.b.154.4		16	3.2	odd	2
375.2.g.d.151.4		16	25.17	odd	20
375.2.g.d.226.4		16	5.2	odd	4
375.2.g.e.151.1		16	25.8	odd	20
375.2.g.e.226.1		16	5.3	odd	4
375.2.i.c.274.4		16	5.4	even	2
375.2.i.c.349.4		16	25.6	even	5
1875.2.a.m.1.2		8	25.13	odd	20
1875.2.a.p.1.7		8	25.12	odd	20
1875.2.b.h.1249.2		16	25.16	even	5
1875.2.b.h.1249.15		16	25.9	even	10
5625.2.a.t.1.2		8	75.62	even	20
5625.2.a.bd.1.7		8	75.38	even	20

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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	75.i (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.23577 - 0.726446i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(2.85292 + 2.07277i) q^{4} +(0.725498 - 2.11510i) q^{5} +(1.90186 - 1.38178i) q^{6} -3.48189i q^{7} +(-2.10915 - 2.90300i) q^{8} +(-0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(-2.23577 - 0.726446i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(2.85292 + 2.07277i) q^{4} +(0.725498 - 2.11510i) q^{5} +(1.90186 - 1.38178i) q^{6} -3.48189i q^{7} +(-2.10915 - 2.90300i) q^{8} +(-0.309017 - 0.951057i) q^{9} +(-3.15856 + 4.20185i) q^{10} +(0.905762 - 2.78765i) q^{11} +(-3.35381 + 1.08972i) q^{12} +(1.78394 - 0.579638i) q^{13} +(-2.52940 + 7.78470i) q^{14} +(1.28472 + 1.83017i) q^{15} +(0.427277 + 1.31502i) q^{16} +(3.98851 + 5.48972i) q^{17} +2.35083i q^{18} +(-2.38620 + 1.73367i) q^{19} +(6.45390 - 4.53042i) q^{20} +(2.81691 + 2.04660i) q^{21} +(-4.05015 + 5.57456i) q^{22} +(-5.22149 - 1.69656i) q^{23} +3.58831 q^{24} +(-3.94730 - 3.06900i) q^{25} -4.40956 q^{26} +(0.951057 + 0.309017i) q^{27} +(7.21714 - 9.93354i) q^{28} +(2.06779 + 1.50234i) q^{29} +(-1.54281 - 5.02511i) q^{30} +(-0.338237 + 0.245744i) q^{31} +3.92613i q^{32} +(1.72286 + 2.37132i) q^{33} +(-4.92942 - 15.1712i) q^{34} +(-7.36454 - 2.52610i) q^{35} +(1.08972 - 3.35381i) q^{36} +(4.98314 - 1.61912i) q^{37} +(6.59441 - 2.14265i) q^{38} +(-0.579638 + 1.78394i) q^{39} +(-7.67033 + 2.35495i) q^{40} +(0.518744 + 1.59653i) q^{41} +(-4.81121 - 6.62206i) q^{42} +10.9233i q^{43} +(8.36221 - 6.07550i) q^{44} +(-2.23577 - 0.0363878i) q^{45} +(10.4416 + 7.58626i) q^{46} +(4.40356 - 6.06098i) q^{47} +(-1.31502 - 0.427277i) q^{48} -5.12353 q^{49} +(6.59580 + 9.72910i) q^{50} -6.78566 q^{51} +(6.29089 + 2.04403i) q^{52} +(2.18041 - 3.00107i) q^{53} +(-1.90186 - 1.38178i) q^{54} +(-5.23903 - 3.93821i) q^{55} +(-10.1079 + 7.34383i) q^{56} -2.94950i q^{57} +(-3.53175 - 4.86103i) q^{58} +(2.19666 + 6.76062i) q^{59} +(-0.128318 + 7.88423i) q^{60} +(-1.98917 + 6.12204i) q^{61} +(0.934741 - 0.303716i) q^{62} +(-3.31147 + 1.07596i) q^{63} +(3.70667 - 11.4080i) q^{64} +(0.0682544 - 4.19374i) q^{65} +(-2.12929 - 6.55329i) q^{66} +(5.90225 + 8.12376i) q^{67} +23.9290i q^{68} +(4.44166 - 3.22706i) q^{69} +(14.6304 + 10.9977i) q^{70} +(-0.589451 - 0.428261i) q^{71} +(-2.10915 + 2.90300i) q^{72} +(-3.41685 - 1.11020i) q^{73} -12.3174 q^{74} +(4.80304 - 1.38952i) q^{75} -10.4011 q^{76} +(-9.70628 - 3.15376i) q^{77} +(2.59188 - 3.56741i) q^{78} +(2.48583 + 1.80606i) q^{79} +(3.09140 + 0.0503134i) q^{80} +(-0.809017 + 0.587785i) q^{81} -3.94632i q^{82} +(-5.94559 - 8.18340i) q^{83} +(3.79427 + 11.6776i) q^{84} +(14.5050 - 4.45333i) q^{85} +(7.93517 - 24.4219i) q^{86} +(-2.43084 + 0.789827i) q^{87} +(-10.0029 + 3.25015i) q^{88} +(-0.0888461 + 0.273440i) q^{89} +(4.97224 + 1.70552i) q^{90} +(-2.01823 - 6.21148i) q^{91} +(-11.3799 - 15.6631i) q^{92} -0.418084i q^{93} +(-14.2483 + 10.3520i) q^{94} +(1.93571 + 6.30482i) q^{95} +(-3.17630 - 2.30772i) q^{96} +(6.11828 - 8.42109i) q^{97} +(11.4551 + 3.72197i) q^{98} -2.93111 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9}+O(q^{10}) \) 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9	\( 16 q + 2 q^{4} + 2 q^{6} - 30 q^{8} + 4 q^{9} - 6 q^{11} - 12 q^{14} - 10 q^{16} + 10 q^{17} - 2 q^{19} + 20 q^{20} + 4 q^{21} - 30 q^{22} - 20 q^{23} + 24 q^{24} - 10 q^{25} + 12 q^{26} + 30 q^{28} + 16 q^{29} - 20 q^{30} + 6 q^{31} + 10 q^{33} - 36 q^{34} + 10 q^{35} - 2 q^{36} - 10 q^{37} + 30 q^{38} - 8 q^{39} + 10 q^{40} - 14 q^{41} - 10 q^{42} + 26 q^{44} + 16 q^{46} + 40 q^{47} + 20 q^{50} - 32 q^{51} + 40 q^{52} + 10 q^{53} - 2 q^{54} + 10 q^{55} + 10 q^{58} + 12 q^{59} - 30 q^{60} - 10 q^{62} - 10 q^{63} + 8 q^{64} - 70 q^{65} + 16 q^{66} - 40 q^{67} - 12 q^{69} + 30 q^{70} - 8 q^{71} - 30 q^{72} - 20 q^{73} - 52 q^{74} - 32 q^{76} - 40 q^{77} - 20 q^{79} - 4 q^{81} + 10 q^{83} + 12 q^{84} - 20 q^{85} - 36 q^{86} + 40 q^{87} - 40 q^{88} + 18 q^{89} + 30 q^{90} + 26 q^{91} + 10 q^{92} - 38 q^{94} - 40 q^{95} - 26 q^{96} + 40 q^{97} + 60 q^{98} - 4 q^{99}+O(q^{100}) \) 16 * q + 2 * q^4 + 2 * q^6 - 30 * q^8 + 4 * q^9 - 6 * q^11 - 12 * q^14 - 10 * q^16 + 10 * q^17 - 2 * q^19 + 20 * q^20 + 4 * q^21 - 30 * q^22 - 20 * q^23 + 24 * q^24 - 10 * q^25 + 12 * q^26 + 30 * q^28 + 16 * q^29 - 20 * q^30 + 6 * q^31 + 10 * q^33 - 36 * q^34 + 10 * q^35 - 2 * q^36 - 10 * q^37 + 30 * q^38 - 8 * q^39 + 10 * q^40 - 14 * q^41 - 10 * q^42 + 26 * q^44 + 16 * q^46 + 40 * q^47 + 20 * q^50 - 32 * q^51 + 40 * q^52 + 10 * q^53 - 2 * q^54 + 10 * q^55 + 10 * q^58 + 12 * q^59 - 30 * q^60 - 10 * q^62 - 10 * q^63 + 8 * q^64 - 70 * q^65 + 16 * q^66 - 40 * q^67 - 12 * q^69 + 30 * q^70 - 8 * q^71 - 30 * q^72 - 20 * q^73 - 52 * q^74 - 32 * q^76 - 40 * q^77 - 20 * q^79 - 4 * q^81 + 10 * q^83 + 12 * q^84 - 20 * q^85 - 36 * q^86 + 40 * q^87 - 40 * q^88 + 18 * q^89 + 30 * q^90 + 26 * q^91 + 10 * q^92 - 38 * q^94 - 40 * q^95 - 26 * q^96 + 40 * q^97 + 60 * q^98 - 4 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more