LMFDB - Embedded newform 192.2.r.a.13.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(13,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([0, 15, 0]))

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

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

chi := DirichletCharacter("192.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.r (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			13.15
Character	$\chi$	$=$	192.13
Dual form			192.2.r.a.133.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.14999 - 0.823123i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(0.644937 - 1.89316i) q^{4} +(1.87933 - 0.373823i) q^{5} +(-0.498876 + 1.32330i) q^{6} +(-0.0424280 - 0.102430i) q^{7} +(-0.816635 - 2.70797i) q^{8} +(0.382683 - 0.923880i) q^{9} +O(q^{10})$	\(q+(1.14999 - 0.823123i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(0.644937 - 1.89316i) q^{4} +(1.87933 - 0.373823i) q^{5} +(-0.498876 + 1.32330i) q^{6} +(-0.0424280 - 0.102430i) q^{7} +(-0.816635 - 2.70797i) q^{8} +(0.382683 - 0.923880i) q^{9} +(1.85351 - 1.97681i) q^{10} +(-0.404530 + 0.605421i) q^{11} +(0.515538 + 1.93241i) q^{12} +(2.24636 + 0.446828i) q^{13} +(-0.133104 - 0.0828699i) q^{14} +(-1.35492 + 1.35492i) q^{15} +(-3.16811 - 2.44194i) q^{16} +(0.165279 + 0.165279i) q^{17} +(-0.320386 - 1.37744i) q^{18} +(-0.641904 + 3.22707i) q^{19} +(0.504345 - 3.79897i) q^{20} +(0.0921847 + 0.0615959i) q^{21} +(0.0331327 + 1.02920i) q^{22} +(-4.98518 - 2.06493i) q^{23} +(2.18348 + 1.79790i) q^{24} +(-1.22725 + 0.508343i) q^{25} +(2.95108 - 1.33518i) q^{26} +(0.195090 + 0.980785i) q^{27} +(-0.221280 + 0.0142619i) q^{28} +(0.724129 + 1.08374i) q^{29} +(-0.442875 + 2.67341i) q^{30} +9.25067i q^{31} +(-5.65330 - 0.200449i) q^{32} -0.728134i q^{33} +(0.326114 + 0.0540238i) q^{34} +(-0.118027 - 0.176640i) q^{35} +(-1.50225 - 1.32033i) q^{36} +(2.04609 + 10.2864i) q^{37} +(1.91809 + 4.23945i) q^{38} +(-2.11602 + 0.876485i) q^{39} +(-2.54703 - 4.78390i) q^{40} +(-7.84283 - 3.24861i) q^{41} +(0.156712 - 0.00504497i) q^{42} +(-0.570234 - 0.381018i) q^{43} +(0.885263 + 1.15630i) q^{44} +(0.373823 - 1.87933i) q^{45} +(-7.43257 + 1.72877i) q^{46} +(-2.61661 - 2.61661i) q^{47} +(3.99086 + 0.270288i) q^{48} +(4.94106 - 4.94106i) q^{49} +(-0.992890 + 1.59476i) q^{50} +(-0.229249 - 0.0456005i) q^{51} +(2.29468 - 3.96454i) q^{52} +(2.35939 - 3.53108i) q^{53} +(1.03166 + 0.967306i) q^{54} +(-0.533926 + 1.28901i) q^{55} +(-0.242730 + 0.198542i) q^{56} +(-1.25914 - 3.03983i) q^{57} +(1.72479 + 0.650234i) q^{58} +(12.7010 - 2.52639i) q^{59} +(1.69125 + 3.43893i) q^{60} +(-2.44281 + 1.63223i) q^{61} +(7.61444 + 10.6381i) q^{62} -0.110870 q^{63} +(-6.66621 + 4.42285i) q^{64} +4.38869 q^{65} +(-0.599344 - 0.837344i) q^{66} +(2.08361 - 1.39222i) q^{67} +(0.419495 - 0.206306i) q^{68} +(5.29223 - 1.05269i) q^{69} +(-0.281126 - 0.105983i) q^{70} +(-4.56284 - 11.0157i) q^{71} +(-2.81435 - 0.281823i) q^{72} +(4.20972 - 10.1632i) q^{73} +(10.8199 + 10.1450i) q^{74} +(0.737999 - 1.10449i) q^{75} +(5.69537 + 3.29648i) q^{76} +(0.0791768 + 0.0157492i) q^{77} +(-1.71194 + 2.74969i) q^{78} +(-9.56634 + 9.56634i) q^{79} +(-6.86679 - 3.40490i) q^{80} +(-0.707107 - 0.707107i) q^{81} +(-11.6932 + 2.71976i) q^{82} +(2.32182 - 11.6726i) q^{83} +(0.176064 - 0.134795i) q^{84} +(0.372400 + 0.248830i) q^{85} +(-0.969386 + 0.0312071i) q^{86} +(-1.20418 - 0.498789i) q^{87} +(1.96982 + 0.601046i) q^{88} +(-7.91751 + 3.27954i) q^{89} +(-1.11703 - 2.46891i) q^{90} +(-0.0495397 - 0.249053i) q^{91} +(-7.12436 + 8.10599i) q^{92} +(-5.13940 - 7.69165i) q^{93} +(-5.16286 - 0.855275i) q^{94} +6.30470i q^{95} +(4.81191 - 2.97414i) q^{96} -17.6784i q^{97} +(1.61505 - 9.74924i) q^{98} +(0.404530 + 0.605421i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q+O(q^{10}) $ 128 * q	$ 128 q - 16 q^{22} - 80 q^{26} - 80 q^{28} - 80 q^{32} - 80 q^{34} - 80 q^{38} - 80 q^{40} - 16 q^{44} + 48 q^{50} - 32 q^{51} + 48 q^{52} + 16 q^{54} - 64 q^{55} + 112 q^{56} - 128 q^{59} + 96 q^{60} + 96 q^{62} - 32 q^{63} + 96 q^{64} + 96 q^{66} - 32 q^{67} + 96 q^{68} + 96 q^{70} - 128 q^{71} + 112 q^{74} - 64 q^{75} + 16 q^{76} + 48 q^{78} - 32 q^{79} + 48 q^{80} - 80 q^{82} - 80 q^{88} - 96 q^{94}+O(q^{100}) $ 128 * q - 16 * q^22 - 80 * q^26 - 80 * q^28 - 80 * q^32 - 80 * q^34 - 80 * q^38 - 80 * q^40 - 16 * q^44 + 48 * q^50 - 32 * q^51 + 48 * q^52 + 16 * q^54 - 64 * q^55 + 112 * q^56 - 128 * q^59 + 96 * q^60 + 96 * q^62 - 32 * q^63 + 96 * q^64 + 96 * q^66 - 32 * q^67 + 96 * q^68 + 96 * q^70 - 128 * q^71 + 112 * q^74 - 64 * q^75 + 16 * q^76 + 48 * q^78 - 32 * q^79 + 48 * q^80 - 80 * q^82 - 80 * q^88 - 96 * q^94

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$1$	$1$	$e\left(\frac{15}{16}\right)$

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 $

$2$	1.14999	−	0.823123i	0.813163	−	0.582036i
$2$	1.14999	−	0.823123i	0.813163	−	0.582036i
$3$	−0.831470	+	0.555570i	−0.480049	+	0.320759i
$3$	−0.831470	+	0.555570i	−0.480049	+	0.320759i
$4$	0.644937	−	1.89316i	0.322468	−	0.946580i
$5$	1.87933	−	0.373823i	0.840463	−	0.167179i	0.243956	−	0.969786i	$-0.421555\pi$
$5$	1.87933	−	0.373823i	0.840463	−	0.167179i	0.596507	+	0.802608i	$0.296555\pi$
$6$	−0.498876	+	1.32330i	−0.203665	+	0.540235i
$7$	−0.0424280	−	0.102430i	−0.0160363	−	0.0387150i	0.915659	−	0.401957i	$-0.131670\pi$
$7$	−0.0424280	−	0.102430i	−0.0160363	−	0.0387150i	−0.931695	+	0.363242i	$0.881670\pi$
$8$	−0.816635	−	2.70797i	−0.288724	−	0.957412i
$9$	0.382683	−	0.923880i	0.127561	−	0.307960i
$10$	1.85351	−	1.97681i	0.586130	−	0.625123i
$11$	−0.404530	+	0.605421i	−0.121970	+	0.182541i	−0.887430	−	0.460942i	$-0.847512\pi$
$11$	−0.404530	+	0.605421i	−0.121970	+	0.182541i	0.765460	+	0.643484i	$0.222512\pi$
$12$	0.515538	+	1.93241i	0.148823	+	0.557840i
$13$	2.24636	+	0.446828i	0.623028	+	0.123928i	0.496502	−	0.868035i	$-0.334617\pi$
$13$	2.24636	+	0.446828i	0.623028	+	0.123928i	0.126525	+	0.991963i	$0.459617\pi$
$14$	−0.133104	−	0.0828699i	−0.0355736	−	0.0221479i
$15$	−1.35492	+	1.35492i	−0.349840	+	0.349840i
$16$	−3.16811	−	2.44194i	−0.792028	−	0.610485i
$17$	0.165279	+	0.165279i	0.0400862	+	0.0400862i	0.726866	−	0.686780i	$-0.240976\pi$
$17$	0.165279	+	0.165279i	0.0400862	+	0.0400862i	−0.686780	+	0.726866i	$0.740976\pi$
$18$	−0.320386	−	1.37744i	−0.0755157	−	0.324667i
$19$	−0.641904	+	3.22707i	−0.147263	+	0.740340i	0.834616	+	0.550832i	$0.185689\pi$
$19$	−0.641904	+	3.22707i	−0.147263	+	0.740340i	−0.981879	+	0.189508i	$0.939311\pi$
$20$	0.504345	−	3.79897i	0.112775	−	0.849476i
$21$	0.0921847	+	0.0615959i	0.0201164	+	0.0134413i
$22$	0.0331327	+	1.02920i	0.00706392	+	0.219427i
$23$	−4.98518	−	2.06493i	−1.03948	−	0.430567i	−0.203355	−	0.979105i	$-0.565185\pi$
$23$	−4.98518	−	2.06493i	−1.03948	−	0.430567i	−0.836126	+	0.548538i	$0.815185\pi$
$24$	2.18348	+	1.79790i	0.445700	+	0.366994i
$25$	−1.22725	+	0.508343i	−0.245450	+	0.101669i
$26$	2.95108	−	1.33518i	0.578754	−	0.261851i
$27$	0.195090	+	0.980785i	0.0375451	+	0.188752i
$28$	−0.221280	+	0.0142619i	−0.0418180	+	0.00269525i
$29$	0.724129	+	1.08374i	0.134467	+	0.201245i	0.892592	−	0.450865i	$-0.148884\pi$
$29$	0.724129	+	1.08374i	0.134467	+	0.201245i	−0.758125	+	0.652109i	$0.773884\pi$
$30$	−0.442875	+	2.67341i	−0.0808575	+	0.488096i
$31$			9.25067i			1.66147i	0.556668	+	0.830735i	$0.312080\pi$
$31$			9.25067i			1.66147i	−0.556668	+	0.830735i	$0.687920\pi$
$32$	−5.65330	−	0.200449i	−0.999372	−	0.0354348i
$33$		−	0.728134i		−	0.126752i
$34$	0.326114	+	0.0540238i	0.0559282	+	0.00926500i
$35$	−0.118027	−	0.176640i	−0.0199502	−	0.0298576i
$36$	−1.50225	−	1.32033i	−0.250374	−	0.220054i
$37$	2.04609	+	10.2864i	0.336375	+	1.69107i	0.665187	+	0.746677i	$0.268352\pi$
$37$	2.04609	+	10.2864i	0.336375	+	1.69107i	−0.328811	+	0.944396i	$0.606648\pi$
$38$	1.91809	+	4.23945i	0.311156	+	0.687730i
$39$	−2.11602	+	0.876485i	−0.338835	+	0.140350i
$40$	−2.54703	−	4.78390i	−0.402721	−	0.756401i
$41$	−7.84283	−	3.24861i	−1.22484	−	0.507347i	−0.325898	−	0.945405i	$-0.605667\pi$
$41$	−7.84283	−	3.24861i	−1.22484	−	0.507347i	−0.898947	+	0.438058i	$0.855667\pi$
$42$	0.156712	−	0.00504497i	0.0241812	−	0.000778456i
$43$	−0.570234	−	0.381018i	−0.0869599	−	0.0581047i	0.511330	−	0.859384i	$-0.329153\pi$
$43$	−0.570234	−	0.381018i	−0.0869599	−	0.0581047i	−0.598290	+	0.801280i	$0.704153\pi$
$44$	0.885263	+	1.15630i	0.133458	+	0.174318i
$45$	0.373823	−	1.87933i	0.0557262	−	0.280154i
$46$	−7.43257	+	1.72877i	−1.09587	+	0.254894i
$47$	−2.61661	−	2.61661i	−0.381672	−	0.381672i	0.490032	−	0.871704i	$-0.336985\pi$
$47$	−2.61661	−	2.61661i	−0.381672	−	0.381672i	−0.871704	+	0.490032i	$0.836985\pi$
$48$	3.99086	+	0.270288i	0.576031	+	0.0390128i
$49$	4.94106	−	4.94106i	0.705865	−	0.705865i
$50$	−0.992890	+	1.59476i	−0.140416	+	0.225534i
$51$	−0.229249	−	0.0456005i	−0.0321013	−	0.00638535i
$52$	2.29468	−	3.96454i	0.318214	−	0.549783i
$53$	2.35939	−	3.53108i	0.324088	−	0.485031i	−0.633272	−	0.773929i	$-0.718289\pi$
$53$	2.35939	−	3.53108i	0.324088	−	0.485031i	0.957360	+	0.288898i	$0.0932887\pi$
$54$	1.03166	+	0.967306i	0.140391	+	0.131634i
$55$	−0.533926	+	1.28901i	−0.0719945	+	0.173810i
$56$	−0.242730	+	0.198542i	−0.0324361	+	0.0265313i
$57$	−1.25914	−	3.03983i	−0.166777	−	0.402636i
$58$	1.72479	+	0.650234i	0.226476	+	0.0853799i
$59$	12.7010	−	2.52639i	1.65354	−	0.328909i	0.721815	−	0.692086i	$-0.243308\pi$
$59$	12.7010	−	2.52639i	1.65354	−	0.328909i	0.931720	+	0.363177i	$0.118308\pi$
$60$	1.69125	+	3.43893i	0.218339	+	0.443964i
$61$	−2.44281	+	1.63223i	−0.312770	+	0.208986i	−0.702040	−	0.712138i	$-0.747727\pi$
$61$	−2.44281	+	1.63223i	−0.312770	+	0.208986i	0.389270	+	0.921124i	$0.372727\pi$
$62$	7.61444	+	10.6381i	0.967035	+	1.35105i
$63$	−0.110870			−0.0139683
$64$	−6.66621	+	4.42285i	−0.833277	+	0.552856i
$65$	4.38869			0.544350
$66$	−0.599344	−	0.837344i	−0.0737741	−	0.103070i
$67$	2.08361	−	1.39222i	0.254554	−	0.170087i	−0.421746	−	0.906714i	$-0.638583\pi$
$67$	2.08361	−	1.39222i	0.254554	−	0.170087i	0.676299	+	0.736627i	$0.263583\pi$
$68$	0.419495	−	0.206306i	0.0508713	−	0.0250182i
$69$	5.29223	−	1.05269i	0.637110	−	0.126729i
$70$	−0.281126	−	0.105983i	−0.0336010	−	0.0126674i
$71$	−4.56284	−	11.0157i	−0.541509	−	1.30732i	−0.923658	−	0.383218i	$-0.874816\pi$
$71$	−4.56284	−	11.0157i	−0.541509	−	1.30732i	0.382148	−	0.924101i	$-0.375184\pi$
$72$	−2.81435	−	0.281823i	−0.331675	−	0.0332132i
$73$	4.20972	−	10.1632i	0.492711	−	1.18951i	−0.460624	−	0.887595i	$-0.652374\pi$
$73$	4.20972	−	10.1632i	0.492711	−	1.18951i	0.953335	−	0.301914i	$-0.0976256\pi$
$74$	10.8199	+	10.1450i	1.25779	+	1.17934i
$75$	0.737999	−	1.10449i	0.0852168	−	0.127536i
$76$	5.69537	+	3.29648i	0.653304	+	0.378133i
$77$	0.0791768	+	0.0157492i	0.00902303	+	0.00179479i
$78$	−1.71194	+	2.74969i	−0.193839	+	0.311341i
$79$	−9.56634	+	9.56634i	−1.07630	+	1.07630i	−0.0794594	+	0.996838i	$0.525319\pi$
$79$	−9.56634	+	9.56634i	−1.07630	+	1.07630i	−0.996838	+	0.0794594i	$0.974681\pi$
$80$	−6.86679	−	3.40490i	−0.767731	−	0.380680i
$81$	−0.707107	−	0.707107i	−0.0785674	−	0.0785674i
$82$	−11.6932	+	2.71976i	−1.29129	+	0.300348i
$83$	2.32182	−	11.6726i	0.254853	−	1.28123i	−0.615238	−	0.788342i	$-0.710940\pi$
$83$	2.32182	−	11.6726i	0.254853	−	1.28123i	0.870091	−	0.492891i	$-0.164060\pi$
$84$	0.176064	−	0.134795i	0.0192102	−	0.0147073i
$85$	0.372400	+	0.248830i	0.0403925	+	0.0269894i
$86$	−0.969386	+	0.0312071i	−0.104532	+	0.00336514i
$87$	−1.20418	−	0.498789i	−0.129102	−	0.0534758i
$88$	1.96982	+	0.601046i	0.209983	+	0.0640717i
$89$	−7.91751	+	3.27954i	−0.839255	+	0.347631i	−0.760560	−	0.649268i	$-0.775075\pi$
$89$	−7.91751	+	3.27954i	−0.839255	+	0.347631i	−0.0786949	+	0.996899i	$0.525075\pi$
$90$	−1.11703	−	2.46891i	−0.117745	−	0.260246i
$91$	−0.0495397	−	0.249053i	−0.00519317	−	0.0261078i
$92$	−7.12436	+	8.10599i	−0.742766	+	0.845108i
$93$	−5.13940	−	7.69165i	−0.532931	−	0.797587i
$94$	−5.16286	−	0.855275i	−0.532509	−	0.0882148i
$95$			6.30470i			0.646848i
$96$	4.81191	−	2.97414i	0.491114	−	0.303547i
$97$		−	17.6784i		−	1.79497i	−0.441050	−	0.897483i	$-0.645394\pi$
$97$		−	17.6784i		−	1.79497i	0.441050	−	0.897483i	$-0.354606\pi$
$98$	1.61505	−	9.74924i	0.163145	−	0.984822i
$99$	0.404530	+	0.605421i	0.0406567	+	0.0608471i
$100$	0.170877	+	2.65123i	0.0170877	+	0.265123i
$101$	2.94907	+	14.8260i	0.293444	+	1.47524i	0.793139	+	0.609041i	$0.208445\pi$
$101$	2.94907	+	14.8260i	0.293444	+	1.47524i	−0.499695	+	0.866201i	$0.666555\pi$
$102$	−0.301168	+	0.136260i	−0.0298201	+	0.0134918i
$103$	9.55871	−	3.95935i	0.941848	−	0.390126i	0.141687	−	0.989912i	$-0.454747\pi$
$103$	9.55871	−	3.95935i	0.941848	−	0.390126i	0.800161	+	0.599785i	$0.204747\pi$
$104$	−0.624457	−	6.44797i	−0.0612330	−	0.632275i
$105$	0.196272	+	0.0812984i	0.0191542	+	0.00793391i
$106$	−0.193245	−	6.00277i	−0.0187696	−	0.583040i
$107$	0.00614719	+	0.00410742i	0.000594271	+	0.000397079i	0.555867	−	0.831271i	$-0.312386\pi$
$107$	0.00614719	+	0.00410742i	0.000594271	+	0.000397079i	−0.555273	+	0.831668i	$0.687386\pi$
$108$	1.98260	+	0.263207i	0.190776	+	0.0253271i
$109$	−0.155458	+	0.781542i	−0.0148902	+	0.0748581i	−0.987516	−	0.157519i	$-0.949650\pi$
$109$	−0.155458	+	0.781542i	−0.0148902	+	0.0748581i	0.972626	+	0.232377i	$0.0746504\pi$
$110$	0.447007	+	1.92183i	0.0426205	+	0.183239i
$111$	−7.41608	−	7.41608i	−0.703903	−	0.703903i
$112$	−0.115712	+	0.428117i	−0.0109337	+	0.0404532i
$113$	1.83668	−	1.83668i	0.172780	−	0.172780i	−0.615419	−	0.788200i	$-0.711013\pi$
$113$	1.83668	−	1.83668i	0.172780	−	0.172780i	0.788200	+	0.615419i	$0.211013\pi$
$114$	−3.95015	−	2.45934i	−0.369965	−	0.230338i
$115$	−10.1407	−	2.01712i	−0.945627	−	0.188097i
$116$	2.51870	−	0.671952i	0.233856	−	0.0623891i
$117$	1.27246	−	1.90437i	0.117639	−	0.176059i
$118$	12.5265	−	13.3598i	1.15316	−	1.22987i
$119$	0.00991714	−	0.0239421i	0.000909102	−	0.00219477i
$120$	4.77557	+	2.56262i	0.435948	+	0.233934i
$121$	4.00663	+	9.67285i	0.364239	+	0.879350i
$122$	−1.46567	+	3.88778i	−0.132695	+	0.351983i
$123$	8.32591	−	1.65613i	0.750722	−	0.149328i
$124$	17.5130	+	5.96610i	1.57271	+	0.535772i
$125$	−10.0825	+	6.73690i	−0.901805	+	0.602567i
$126$	−0.127499	+	0.0912594i	−0.0113585	+	0.00813003i
$127$	7.31586			0.649177			0.324589	−	0.945855i	$-0.394774\pi$
$127$	7.31586			0.649177			0.324589	+	0.945855i	$0.394774\pi$
$128$	−4.02551	+	10.5733i	−0.355808	+	0.934559i
$129$	0.685815			0.0603826
$130$	5.04693	−	3.61243i	0.442645	−	0.316831i
$131$	10.8242	−	7.23249i	0.945713	−	0.631906i	0.0158752	−	0.999874i	$-0.494947\pi$
$131$	10.8242	−	7.23249i	0.945713	−	0.631906i	0.929838	+	0.367968i	$0.119947\pi$
$132$	−1.37847	−	0.469601i	−0.119981	−	0.0408735i
$133$	0.357784	−	0.0711677i	0.0310238	−	0.00617102i
$134$	1.25015	−	3.31611i	0.107997	−	0.286468i
$135$	0.733279	+	1.77029i	0.0631106	+	0.152363i
$136$	0.312599	−	0.582545i	0.0268051	−	0.0499528i
$137$	−7.50969	+	18.1300i	−0.641596	+	1.54895i	0.182931	+	0.983126i	$0.441442\pi$
$137$	−7.50969	+	18.1300i	−0.641596	+	1.54895i	−0.824526	+	0.565823i	$0.808558\pi$
$138$	5.21950	−	5.56674i	0.444314	−	0.473872i
$139$	6.96977	−	10.4310i	0.591168	−	0.884746i	−0.408439	−	0.912786i	$-0.633927\pi$
$139$	6.96977	−	10.4310i	0.591168	−	0.884746i	0.999607	+	0.0280402i	$0.00892664\pi$
$140$	−0.410528	+	0.109522i	−0.0346959	+	0.00925634i
$141$	3.62935	+	0.721922i	0.305646	+	0.0607968i
$142$	−14.3145	−	8.91209i	−1.20124	−	0.747886i
$143$	−1.17924	+	1.17924i	−0.0986128	+	0.0986128i
$144$	−3.46844	+	1.99247i	−0.289037	+	0.166039i
$145$	1.76601	+	1.76601i	0.146659	+	0.146659i
$146$	−3.52442	−	15.1526i	−0.291683	−	1.25404i
$147$	−1.36323	+	6.85344i	−0.112438	+	0.565262i
$148$	20.7934	+	2.76050i	1.70921	+	0.226911i
$149$	−2.53583	−	1.69438i	−0.207743	−	0.138809i	0.447347	−	0.894361i	$-0.352369\pi$
$149$	−2.53583	−	1.69438i	−0.207743	−	0.138809i	−0.655089	+	0.755551i	$0.727369\pi$
$150$	−0.0604454	−	1.87762i	−0.00493534	−	0.153307i
$151$	7.92664	+	3.28332i	0.645061	+	0.267193i	0.681137	−	0.732156i	$-0.261486\pi$
$151$	7.92664	+	3.28332i	0.645061	+	0.267193i	−0.0360758	+	0.999349i	$0.511486\pi$
$152$	9.26301	−	0.897081i	0.751329	−	0.0727629i
$153$	0.215948	−	0.0894486i	0.0174584	−	0.00723149i
$154$	0.104016	−	0.0470608i	0.00838183	−	0.00379227i
$155$	3.45811	+	17.3851i	0.277762	+	1.39640i
$156$	0.294626	+	4.57125i	0.0235890	+	0.365993i
$157$	−6.21796	−	9.30584i	−0.496247	−	0.742687i	0.495816	−	0.868428i	$-0.334869\pi$
$157$	−6.21796	−	9.30584i	−0.496247	−	0.742687i	−0.992063	+	0.125741i	$0.959869\pi$
$158$	−3.12689	+	18.8754i	−0.248762	+	1.50165i
$159$			4.24680i			0.336793i
$160$	−10.6994	+	1.73662i	−0.845859	+	0.137292i
$161$			0.598243i			0.0471482i
$162$	−1.39520	−	0.231127i	−0.109617	−	0.0181591i
$163$	−6.25260	−	9.35768i	−0.489742	−	0.732950i	0.501479	−	0.865170i	$-0.332790\pi$
$163$	−6.25260	−	9.35768i	−0.489742	−	0.732950i	−0.991220	+	0.132220i	$0.957790\pi$
$164$	−11.2083	+	12.7526i	−0.875219	+	0.995810i
$165$	−0.272193	−	1.36841i	−0.0211902	−	0.106530i
$166$	−6.93791	−	15.3345i	−0.538486	−	1.19019i
$167$	4.45481	−	1.84524i	0.344723	−	0.142789i	−0.203603	−	0.979054i	$-0.565265\pi$
$167$	4.45481	−	1.84524i	0.344723	−	0.142789i	0.548326	+	0.836264i	$0.315265\pi$
$168$	0.0915185	−	0.299935i	0.00706081	−	0.0231405i
$169$	−7.16397	−	2.96741i	−0.551074	−	0.228262i
$170$	0.633073	−	0.0203803i	0.0485545	−	0.00156309i
$171$	2.73578	+	1.82799i	0.209210	+	0.139790i
$172$	−1.08909	+	0.833812i	−0.0830426	+	0.0635776i
$173$	−0.234192	+	1.17736i	−0.0178053	+	0.0895131i	−0.988666	−	0.150131i	$-0.952031\pi$
$173$	−0.234192	+	1.17736i	−0.0178053	+	0.0895131i	0.970861	+	0.239644i	$0.0770306\pi$
$174$	−1.79536	+	0.417590i	−0.136106	+	0.0316574i
$175$	0.104139	+	0.104139i	0.00787219	+	0.00787219i
$176$	2.76000	−	0.930206i	0.208043	−	0.0701170i
$177$	−9.15694	+	9.15694i	−0.688278	+	0.688278i
$178$	−6.40556	+	10.2885i	−0.480117	+	0.771157i
$179$	−17.7154	−	3.52382i	−1.32411	−	0.263383i	−0.518121	−	0.855307i	$-0.673368\pi$
$179$	−17.7154	−	3.52382i	−1.32411	−	0.263383i	−0.805994	+	0.591924i	$0.798368\pi$
$180$	−3.31679	−	1.91976i	−0.247219	−	0.143090i
$181$	−4.20092	+	6.28712i	−0.312252	+	0.467318i	−0.954089	−	0.299523i	$-0.903173\pi$
$181$	−4.20092	+	6.28712i	−0.312252	+	0.467318i	0.641837	+	0.766841i	$0.278173\pi$
$182$	−0.261971	−	0.245630i	−0.0194186	−	0.0182073i
$183$	1.12430	−	2.71430i	0.0831108	−	0.200647i
$184$	−1.52069	+	15.1860i	−0.112107	+	1.11953i
$185$	7.69057	+	18.5667i	0.565422	+	1.36505i
$186$	−12.2414	−	4.61494i	−0.897584	−	0.338384i
$187$	−0.166924	+	0.0332033i	−0.0122067	+	0.00242806i
$188$	−6.64122	+	3.26612i	−0.484361	+	0.238206i
$189$	0.0921847	−	0.0615959i	0.00670545	−	0.00448044i
$190$	5.18954	+	7.25031i	0.376489	+	0.525993i
$191$	17.9131			1.29615			0.648073	−	0.761578i	$-0.275575\pi$
$191$	17.9131			1.29615			0.648073	+	0.761578i	$0.275575\pi$
$192$	3.08555	−	7.38101i	0.222680	−	0.532679i
$193$	0.132642			0.00954776			0.00477388	−	0.999989i	$-0.498480\pi$
$193$	0.132642			0.00954776			0.00477388	+	0.999989i	$0.498480\pi$
$194$	−14.5515	−	20.3299i	−1.04473	−	1.45960i
$195$	−3.64906	+	2.43823i	−0.261315	+	0.174605i
$196$	−6.16754	−	12.5409i	−0.440539	−	0.895777i
$197$	−11.6257	+	2.31250i	−0.828298	+	0.164759i	−0.590993	−	0.806676i	$-0.701264\pi$
$197$	−11.6257	+	2.31250i	−0.828298	+	0.164759i	−0.237305	+	0.971435i	$0.576264\pi$
$198$	0.963540	+	0.363249i	0.0684758	+	0.0258150i
$199$	−1.13570	−	2.74182i	−0.0805076	−	0.194363i	0.878500	−	0.477742i	$-0.158545\pi$
$199$	−1.13570	−	2.74182i	−0.0805076	−	0.194363i	−0.959008	+	0.283379i	$0.908545\pi$
$200$	2.37879	+	2.90822i	0.168206	+	0.205642i
$201$	−0.958981	+	2.31518i	−0.0676413	+	0.163301i
$202$	15.5950	+	14.6222i	1.09726	+	1.02882i
$203$	0.0802840	−	0.120153i	0.00563483	−	0.00843312i
$204$	−0.234180	+	0.404596i	−0.0163959	+	0.0283274i
$205$	−15.9537	−	3.17339i	−1.11425	−	0.221639i
$206$	7.73336	−	12.4212i	0.538809	−	0.865425i
$207$	−3.81549	+	3.81549i	−0.265195	+	0.265195i
$208$	−6.02559	−	6.90107i	−0.417799	−	0.478503i
$209$	−1.69407	−	1.69407i	−0.117181	−	0.117181i
$210$	0.292628	−	0.0680637i	0.0201933	−	0.00469684i
$211$	−3.49760	+	17.5836i	−0.240785	+	1.21051i	0.651364	+	0.758766i	$0.274197\pi$
$211$	−3.49760	+	17.5836i	−0.240785	+	1.21051i	−0.892149	+	0.451742i	$0.850803\pi$
$212$	−5.16324	−	6.74404i	−0.354613	−	0.463182i
$213$	9.91384	+	6.62422i	0.679285	+	0.453884i
$214$	0.0104501		0.000336416i	0.000714354		2.29969e-5i
$215$	−1.21409	−	0.502894i	−0.0828005	−	0.0342971i
$216$	2.49662	−	1.32924i	0.169874	−	0.0904435i
$217$	0.947548	−	0.392487i	0.0643238	−	0.0266438i
$218$	0.464530	+	1.02672i	0.0314619	+	0.0695385i
$219$	2.14610	+	10.7892i	0.145020	+	0.729064i
$220$	2.09596	+	1.84214i	0.141309	+	0.124197i
$221$	0.297425	+	0.445128i	0.0200070	+	0.0299426i
$222$	−14.6327	−	2.42404i	−0.982085	−	0.162691i
$223$		−	8.34121i		−	0.558568i	−0.960208	−	0.279284i	$-0.909903\pi$
$223$		−	8.34121i		−	0.558568i	0.960208	−	0.279284i	$-0.0900972\pi$
$224$	0.219326	+	0.587573i	0.0146543	+	0.0392589i
$225$			1.32836i			0.0885576i
$226$	0.600343	−	3.62397i	0.0399342	−	0.241063i
$227$	4.23158	+	6.33300i	0.280860	+	0.420336i	0.944899	−	0.327361i	$-0.106159\pi$
$227$	4.23158	+	6.33300i	0.280860	+	0.420336i	−0.664040	+	0.747697i	$0.731159\pi$
$228$	−6.56696	+	0.423253i	−0.434907	+	0.0280306i
$229$	5.33736	+	26.8327i	0.352703	+	1.77316i	0.595779	+	0.803148i	$0.296843\pi$
$229$	5.33736	+	26.8327i	0.352703	+	1.77316i	−0.243076	+	0.970007i	$0.578157\pi$
$230$	−13.3220	+	6.02741i	−0.878428	+	0.397436i
$231$	−0.0745829	+	0.0308933i	−0.00490720	+	0.00203263i
$232$	2.34338	−	2.84594i	0.153850	−	0.186845i
$233$	−23.0120	−	9.53188i	−1.50757	−	0.624454i	−0.532512	−	0.846423i	$-0.678752\pi$
$233$	−23.0120	−	9.53188i	−1.50757	−	0.624454i	−0.975054	+	0.221968i	$0.928752\pi$
$234$	−0.104220	−	3.23739i	−0.00681307	−	0.211635i
$235$	−5.89564	−	3.93934i	−0.384589	−	0.256974i
$236$	3.40850	−	25.6745i	0.221875	−	1.67127i
$237$	2.63935	−	13.2689i	0.171444	−	0.861907i
$238$	−0.00830271	−	0.0356961i	−0.000538185	−	0.00231383i
$239$	6.38784	+	6.38784i	0.413195	+	0.413195i	0.882850	−	0.469655i	$-0.155622\pi$
$239$	6.38784	+	6.38784i	0.413195	+	0.413195i	−0.469655	+	0.882850i	$0.655622\pi$
$240$	7.60119	−	0.983911i	0.490655	−	0.0635112i
$241$	−10.4497	+	10.4497i	−0.673124	+	0.673124i	−0.958435	−	0.285311i	$-0.907903\pi$
$241$	−10.4497	+	10.4497i	−0.673124	+	0.673124i	0.285311	+	0.958435i	$0.407903\pi$
$242$	12.5695	+	7.82570i	0.807999	+	0.503055i
$243$	0.980785	+	0.195090i	0.0629174	+	0.0125150i
$244$	1.51462	+	5.67732i	0.0969637	+	0.363453i
$245$	7.43881	−	11.1330i	0.475248	−	0.711259i
$246$	8.21149	−	8.75777i	0.523545	−	0.558375i
$247$	−2.88389	+	6.96233i	−0.183498	+	0.443002i
$248$	25.0506	−	7.55443i	1.59071	−	0.479707i
$249$	4.55442	+	10.9953i	0.288625	+	0.696801i
$250$	−6.04942	+	16.0465i	−0.382599	+	1.01487i
$251$	5.95926	−	1.18537i	0.376145	−	0.0748199i	−0.00339740	−	0.999994i	$-0.501081\pi$
$251$	5.95926	−	1.18537i	0.376145	−	0.0748199i	0.379542	+	0.925174i	$0.376081\pi$
$252$	−0.0715039	+	0.209894i	−0.00450432	+	0.0132221i
$253$	3.26680	−	2.18281i	0.205382	−	0.137232i
$254$	8.41314	−	6.02185i	0.527887	−	0.377844i
$255$	−0.447882			−0.0280475
$256$	4.07387	+	15.4727i	0.254617	+	0.967042i
$257$	24.9026			1.55338			0.776690	−	0.629883i	$-0.216897\pi$
$257$	24.9026			1.55338			0.776690	+	0.629883i	$0.216897\pi$
$258$	0.788678	−	0.564510i	0.0491009	−	0.0351449i
$259$	0.966826	−	0.646012i	0.0600756	−	0.0401413i
$260$	2.83043	−	8.30849i	0.175536	−	0.515271i
$261$	1.27835	−	0.254280i	0.0791281	−	0.0157396i
$262$	6.49444	−	17.2269i	0.401228	−	1.06428i
$263$	−8.37227	−	20.2124i	−0.516256	−	1.24635i	−0.940187	−	0.340658i	$-0.889350\pi$
$263$	−8.37227	−	20.2124i	−0.516256	−	1.24635i	0.423931	−	0.905694i	$-0.360650\pi$
$264$	−1.97177	+	0.594620i	−0.121354	+	0.0365963i
$265$	3.11409	−	7.51807i	0.191297	−	0.461832i
$266$	0.352867	−	0.376342i	0.0216357	−	0.0230750i
$267$	4.76116	−	7.12557i	0.291378	−	0.436078i
$268$	−1.29191	−	4.84251i	−0.0789157	−	0.295803i
$269$	20.4162	+	4.06104i	1.24480	+	0.247606i	0.773174	−	0.634194i	$-0.218668\pi$
$269$	20.4162	+	4.06104i	1.24480	+	0.247606i	0.471625	+	0.881799i	$0.343668\pi$
$270$	2.30043	+	1.43223i	0.140000	+	0.0871630i
$271$	6.12122	−	6.12122i	0.371838	−	0.371838i	−0.496309	−	0.868146i	$-0.665312\pi$
$271$	6.12122	−	6.12122i	0.371838	−	0.371838i	0.868146	+	0.496309i	$0.165312\pi$
$272$	−0.120022	−	0.927226i	−0.00727738	−	0.0562213i
$273$	0.179557	+	0.179557i	0.0108673	+	0.0108673i
$274$	6.28717	+	27.0306i	0.379822	+	1.63298i
$275$	0.188697	−	0.948642i	0.0113788	−	0.0572052i
$276$	1.42025	−	10.6980i	0.0854887	−	0.643942i
$277$	−13.4697	−	9.00018i	−0.809317	−	0.540768i	0.0806770	−	0.996740i	$-0.474292\pi$
$277$	−13.4697	−	9.00018i	−0.809317	−	0.540768i	−0.889994	+	0.455972i	$0.849292\pi$
$278$	−0.570854	−	17.7325i	−0.0342376	−	1.06352i
$279$	8.54651	+	3.54008i	0.511666	+	0.211939i
$280$	−0.381951	+	0.463864i	−0.0228259	+	0.0277212i
$281$	8.00147	−	3.31432i	0.477328	−	0.197716i	−0.131030	−	0.991378i	$-0.541829\pi$
$281$	8.00147	−	3.31432i	0.477328	−	0.197716i	0.608358	+	0.793663i	$0.291829\pi$
$282$	4.76793	−	2.15720i	0.283926	−	0.128459i
$283$	0.481557	+	2.42095i	0.0286256	+	0.143910i	0.992455	−	0.122609i	$-0.0391262\pi$
$283$	0.481557	+	2.42095i	0.0286256	+	0.143910i	−0.963829	+	0.266520i	$0.914126\pi$
$284$	−23.7972	+	1.53377i	−1.41210	+	0.0910128i
$285$	−3.50270	−	5.24216i	−0.207482	−	0.310519i
$286$	−0.385449	+	2.32676i	−0.0227921	+	0.137584i
$287$			0.941175i			0.0555558i
$288$	−2.34862	+	5.14626i	−0.138394	+	0.303246i
$289$		−	16.9454i		−	0.996786i
$290$	3.48452	+	0.577242i	0.204618	+	0.0338968i
$291$	9.82157	+	14.6990i	0.575751	+	0.861672i
$292$	−16.5255	−	14.5243i	−0.967082	−	0.849970i
$293$	−5.11076	−	25.6935i	−0.298574	−	1.50103i	−0.780687	−	0.624922i	$-0.785131\pi$
$293$	−5.11076	−	25.6935i	−0.298574	−	1.50103i	0.482113	−	0.876109i	$-0.339869\pi$
$294$	4.07352	+	9.00347i	0.237573	+	0.525093i
$295$	22.9251	−	9.49588i	1.33475	−	0.552871i
$296$	26.1843	−	13.9410i	1.52193	−	0.810303i
$297$	−0.672708	−	0.278645i	−0.0390345	−	0.0161686i
$298$	−4.31085	+	0.138777i	−0.249721	+	0.00803916i
$299$	−10.2758	−	6.86608i	−0.594266	−	0.397076i
$300$	−1.61502	−	2.10948i	−0.0932433	−	0.121791i
$301$	−0.0148339	+	0.0745750i	−0.000855012	+	0.00429843i
$302$	11.8181	−	2.74883i	0.680056	−	0.158177i
$303$	−10.6890	−	10.6890i	−0.614064	−	0.614064i
$304$	9.91393	−	8.65623i	0.568603	−	0.496469i
$305$	−3.98069	+	3.98069i	−0.227934	+	0.227934i
$306$	0.174710	−	0.280616i	0.00998751	−	0.0160418i
$307$	−28.2961	−	5.62845i	−1.61494	−	0.321232i	−0.696735	−	0.717328i	$-0.745365\pi$
$307$	−28.2961	−	5.62845i	−1.61494	−	0.321232i	−0.918209	+	0.396096i	$0.870365\pi$
$308$	0.0808799	−	0.139737i	0.00460856	−	0.00796226i
$309$	−5.74808	+	8.60261i	−0.326997	+	0.489386i
$310$	18.2869	+	17.1462i	1.03862	+	0.973837i
$311$	−2.34012	+	5.64955i	−0.132696	+	0.320356i	−0.976236	−	0.216710i	$-0.930467\pi$
$311$	−2.34012	+	5.64955i	−0.132696	+	0.320356i	0.843540	+	0.537066i	$0.180467\pi$
$312$	4.10152	+	5.01436i	0.232203	+	0.283882i
$313$	−1.36225	−	3.28876i	−0.0769989	−	0.185892i	0.880693	−	0.473688i	$-0.157078\pi$
$313$	−1.36225	−	3.28876i	−0.0769989	−	0.185892i	−0.957692	+	0.287796i	$0.907078\pi$
$314$	−14.8104	−	5.58344i	−0.835800	−	0.315092i
$315$	−0.208361	+	0.0414456i	−0.0117398	+	0.00233519i
$316$	11.9409	+	24.2803i	0.671730	+	1.36587i
$317$	5.05650	−	3.37864i	0.284001	−	0.189764i	−0.405408	−	0.914136i	$-0.632870\pi$
$317$	5.05650	−	3.37864i	0.284001	−	0.189764i	0.689409	+	0.724372i	$0.257870\pi$
$318$	3.49564	+	4.88376i	0.196026	+	0.273868i
$319$	−0.949049			−0.0531365
$320$	−10.8747	+	10.8040i	−0.607913	+	0.603961i
$321$	−0.00739316			−0.000412646
$322$	0.492428	+	0.687972i	0.0274419	+	0.0383392i
$323$	−0.639462	+	0.427275i	−0.0355806	+	0.0237742i
$324$	−1.79471	+	0.882627i	−0.0997059	+	0.0490348i
$325$	−2.98398	+	0.593550i	−0.165521	+	0.0329243i
$326$	−14.8929	−	5.61454i	−0.824843	−	0.310961i
$327$	−0.304942	−	0.736196i	−0.0168634	−	0.0407117i
$328$	−2.39240	+	23.8911i	−0.132098	+	1.31917i
$329$	−0.157003	+	0.379038i	−0.00865583	+	0.0208970i
$330$	−1.43938	−	1.34960i	−0.0792355	−	0.0742930i
$331$	9.36357	−	14.0136i	0.514668	−	0.770255i	−0.479564	−	0.877507i	$-0.659205\pi$
$331$	9.36357	−	14.0136i	0.514668	−	0.770255i	0.994232	+	0.107252i	$0.0342051\pi$
$332$	−20.6007	−	11.9237i	−1.13061	−	0.654396i
$333$	10.2864	+	2.04609i	0.563691	+	0.112125i
$334$	3.60411	−	5.78886i	0.197208	−	0.316752i
$335$	3.39535	−	3.39535i	0.185508	−	0.185508i
$336$	−0.141638	−	0.420252i	−0.00772700	−	0.0229266i
$337$	15.1282	+	15.1282i	0.824087	+	0.824087i	0.986691	−	0.162604i	$-0.0519893\pi$
$337$	15.1282	+	15.1282i	0.824087	+	0.824087i	−0.162604	+	0.986691i	$0.551989\pi$
$338$	−10.6810	+	2.48434i	−0.580970	+	0.135130i
$339$	−0.506739	+	2.54755i	−0.0275223	+	0.138364i
$340$	0.711250	−	0.544534i	0.0385729	−	0.0295315i
$341$	−5.60055	−	3.74217i	−0.303287	−	0.202650i
$342$	4.65076	−	0.149720i	0.251485	−	0.00809594i
$343$	−1.43276	−	0.593470i	−0.0773620	−	0.0320444i
$344$	−0.566113	+	1.85533i	−0.0305228	+	0.100033i
$345$	9.55235	−	3.95671i	0.514281	−	0.213022i
$346$	0.699796	+	1.54672i	0.0376213	+	0.0831521i
$347$	4.58144	+	23.0324i	0.245944	+	1.23645i	0.884379	+	0.466770i	$0.154582\pi$
$347$	4.58144	+	23.0324i	0.245944	+	1.23645i	−0.638435	+	0.769676i	$0.720418\pi$
$348$	−1.72091	+	1.95802i	−0.0922505	+	0.104961i
$349$	−8.98993	−	13.4544i	−0.481220	−	0.720196i	0.508837	−	0.860863i	$-0.330075\pi$
$349$	−8.98993	−	13.4544i	−0.481220	−	0.720196i	−0.990057	+	0.140667i	$0.955075\pi$
$350$	0.205478	+	0.0340393i	0.0109833	+	0.00181948i
$351$			2.29037i			0.122251i
$352$	2.40828	−	3.34154i	0.128362	−	0.178105i
$353$		−	12.8834i		−	0.685714i	−0.939388	−	0.342857i	$-0.888605\pi$
$353$		−	12.8834i		−	0.685714i	0.939388	−	0.342857i	$-0.111395\pi$
$354$	−2.99307	+	18.0676i	−0.159080	+	0.960285i
$355$	−12.6930	−	18.9964i	−0.673675	−	1.00823i
$356$	1.10240	+	17.1042i	0.0584271	+	0.906522i
$357$	0.00505571	+	0.0254168i	0.000267577	+	0.00134520i
$358$	−23.2731	+	10.5296i	−1.23002	+	0.556509i
$359$	−16.3077	+	6.75486i	−0.860686	+	0.356508i	−0.768976	−	0.639278i	$-0.779233\pi$
$359$	−16.3077	+	6.75486i	−0.860686	+	0.356508i	−0.0917104	+	0.995786i	$0.529233\pi$
$360$	−5.39446	+	0.522429i	−0.284313	+	0.0275344i
$361$	7.55178	+	3.12805i	0.397462	+	0.164634i
$362$	0.344074	+	10.6880i	0.0180841	+	0.561748i
$363$	−8.70534	−	5.81672i	−0.456912	−	0.305299i
$364$	−0.503447	−	0.0668368i	−0.0263878	−	0.00350320i
$365$	4.11225	−	20.6737i	0.215245	−	1.08211i
$366$	−0.941275	−	4.04685i	−0.0492012	−	0.211532i
$367$	10.4165	+	10.4165i	0.543739	+	0.543739i	0.924623	−	0.380884i	$-0.124380\pi$
$367$	10.4165	+	10.4165i	0.543739	+	0.543739i	−0.380884	+	0.924623i	$0.624380\pi$
$368$	10.7512	+	18.7154i	0.560444	+	0.975609i
$369$	−6.00265	+	6.00265i	−0.312485	+	0.312485i
$370$	24.1267	+	15.0211i	1.25429	+	0.780912i
$371$	−0.461794	−	0.0918565i	−0.0239751	−	0.00476895i
$372$	−17.8761	+	4.76907i	−0.926834	+	0.247265i
$373$	15.3132	−	22.9179i	0.792889	−	1.18664i	−0.186060	−	0.982538i	$-0.559572\pi$
$373$	15.3132	−	22.9179i	0.792889	−	1.18664i	0.978949	−	0.204104i	$-0.0654281\pi$
$374$	−0.164630	+	0.175582i	−0.00851282	+	0.00907915i
$375$	4.64046	−	11.2031i	0.239632	−	0.578523i
$376$	−4.94889	+	9.22253i	−0.255220	+	0.475616i
$377$	1.14241	+	2.75802i	0.0588371	+	0.142045i
$378$	0.0553102	−	0.146714i	0.00284485	−	0.00754614i
$379$	−29.4700	+	5.86195i	−1.51377	+	0.301108i	−0.880957	−	0.473196i	$-0.843100\pi$
$379$	−29.4700	+	5.86195i	−1.51377	+	0.301108i	−0.632814	+	0.774304i	$0.718100\pi$
$380$	11.9358	+	4.06613i	0.612294	+	0.208588i
$381$	−6.08291	+	4.06447i	−0.311637	+	0.208229i
$382$	20.5998	−	14.7447i	1.05398	−	0.754404i
$383$	11.5433			0.589837			0.294919	−	0.955522i	$-0.404707\pi$
$383$	11.5433			0.589837			0.294919	+	0.955522i	$0.404707\pi$
$384$	−2.52714	−	11.0279i	−0.128963	−	0.562763i
$385$	0.154687			0.00788358
$386$	0.152536	−	0.109180i	0.00776389	−	0.00555714i
$387$	−0.570234	+	0.381018i	−0.0289866	+	0.0193682i
$388$	−33.4680	−	11.4014i	−1.69908	−	0.578820i
$389$	4.06806	−	0.809187i	0.206259	−	0.0410274i	−0.0908794	−	0.995862i	$-0.528968\pi$
$389$	4.06806	−	0.809187i	0.206259	−	0.0410274i	0.297138	+	0.954834i	$0.403968\pi$
$390$	−2.18941	+	5.80755i	−0.110865	+	0.294077i
$391$	−0.482657	−	1.16524i	−0.0244090	−	0.0589286i
$392$	−17.4153	−	9.34520i	−0.879604	−	0.472004i
$393$	−4.98183	+	12.0272i	−0.251300	+	0.606692i
$394$	−11.4659	+	12.2287i	−0.577646	+	0.616075i
$395$	−14.4022	+	21.5545i	−0.724655	+	1.08452i
$396$	1.40706	−	0.375381i	0.0707072	−	0.0188636i
$397$	10.4076	+	2.07021i	0.522344	+	0.103901i	0.449218	−	0.893422i	$-0.351703\pi$
$397$	10.4076	+	2.07021i	0.522344	+	0.103901i	0.0731259	+	0.997323i	$0.476703\pi$
$398$	−3.56289	−	2.21824i	−0.178592	−	0.111190i
$399$	−0.257948	+	0.257948i	−0.0129135	+	0.0129135i
$400$	5.12940	+	1.38638i	0.256470	+	0.0693188i
$401$	5.13746	+	5.13746i	0.256553	+	0.256553i	0.823650	−	0.567098i	$-0.191934\pi$
$401$	5.13746	+	5.13746i	0.256553	+	0.256553i	−0.567098	+	0.823650i	$0.691934\pi$
$402$	0.802867	+	3.45179i	0.0400434	+	0.172160i
$403$	−4.13346	+	20.7803i	−0.205902	+	1.03514i
$404$	29.9700	+	3.97876i	1.49106	+	0.197951i
$405$	−1.59322	−	1.06456i	−0.0791678	−	0.0528982i
$406$	−0.00657561	−	0.204258i	−0.000326342	−	0.0101372i
$407$	−7.05531	−	2.92240i	−0.349719	−	0.144858i
$408$	0.0637281	+	0.658039i	0.00315501	+	0.0325778i
$409$	17.6887	−	7.32688i	0.874648	−	0.362291i	0.100229	−	0.994964i	$-0.468042\pi$
$409$	17.6887	−	7.32688i	0.874648	−	0.362291i	0.774419	+	0.632673i	$0.218042\pi$
$410$	−20.9586	+	9.48251i	−1.03507	+	0.468308i
$411$	−3.82840	−	19.2467i	−0.188841	−	0.949369i
$412$	−1.33091	−	20.6497i	−0.0655694	−	1.01734i
$413$	−0.797659	−	1.19378i	−0.0392502	−	0.0587421i
$414$	−1.24714	+	7.52838i	−0.0612937	+	0.370000i
$415$		−	22.8046i		−	1.11944i
$416$	−12.6098	−	2.97634i	−0.618245	−	0.145927i
$417$			12.5453i			0.614344i
$418$	−3.34258	−	0.553728i	−0.163491	−	0.0270837i
$419$	−0.398272	−	0.596057i	−0.0194569	−	0.0291193i	0.821614	−	0.570045i	$-0.193074\pi$
$419$	−0.398272	−	0.596057i	−0.0194569	−	0.0291193i	−0.841071	+	0.540925i	$0.818074\pi$
$420$	0.280494	−	0.319142i	0.0136867	−	0.0155725i
$421$	1.08785	+	5.46901i	0.0530188	+	0.266543i	0.998198	−	0.0600092i	$-0.0191130\pi$
$421$	1.08785	+	5.46901i	0.0530188	+	0.266543i	−0.945179	+	0.326553i	$0.894113\pi$
$422$	10.4513	+	23.0999i	0.508761	+	1.12449i
$423$	−3.41877	+	1.41610i	−0.166226	+	0.0688532i
$424$	−11.4888	−	3.50556i	−0.557947	−	0.170245i
$425$	−0.286857	−	0.118820i	−0.0139146	−	0.00576363i
$426$	16.8533	−	0.542552i	0.816546	−	0.0262867i
$427$	0.270833	+	0.180965i	0.0131066	+	0.00875752i
$428$	0.0117406	−	0.00898859i	0.000567501	−	0.000434480i
$429$	0.325351	−	1.63565i	0.0157081	−	0.0789699i
$430$	−1.81013	+	0.421027i	−0.0872924	+	0.0203037i
$431$	−10.7065	−	10.7065i	−0.515712	−	0.515712i	0.400559	−	0.916271i	$-0.368816\pi$
$431$	−10.7065	−	10.7065i	−0.515712	−	0.515712i	−0.916271	+	0.400559i	$0.868816\pi$
$432$	1.77695	−	3.58364i	0.0854935	−	0.172418i
$433$	−8.05501	+	8.05501i	−0.387099	+	0.387099i	−0.873651	−	0.486552i	$-0.838254\pi$
$433$	−8.05501	+	8.05501i	−0.387099	+	0.387099i	0.486552	+	0.873651i	$0.338254\pi$
$434$	0.766602	−	1.23130i	0.0367981	−	0.0591045i
$435$	−2.44952	−	0.487240i	−0.117446	−	0.0233614i
$436$	1.37932	+	0.798353i	0.0660576	+	0.0382342i
$437$	9.86367	−	14.7620i	0.471843	−	0.706163i
$438$	11.3488	+	10.6409i	0.542267	+	0.508442i
$439$	−14.7921	+	35.7112i	−0.705986	+	1.70440i	0.00380894	+	0.999993i	$0.498788\pi$
$439$	−14.7921	+	35.7112i	−0.705986	+	1.70440i	−0.709795	+	0.704408i	$0.751212\pi$
$440$	3.92663	+	0.393204i	0.187195	+	0.0187453i
$441$	−2.67408	−	6.45580i	−0.127337	−	0.307419i
$442$	0.708430	+	0.267074i	0.0336966	+	0.0127034i
$443$	−31.6132	+	6.28825i	−1.50199	+	0.298764i	−0.876473	−	0.481450i	$-0.840110\pi$
$443$	−31.6132	+	6.28825i	−1.50199	+	0.298764i	−0.625513	+	0.780214i	$0.715110\pi$
$444$	−18.8227	+	9.25692i	−0.893287	+	0.439314i
$445$	−13.6537	+	9.12309i	−0.647246	+	0.432476i
$446$	−6.86584	−	9.59227i	−0.325107	−	0.454207i
$447$	3.04981			0.144251
$448$	0.735867	+	0.495169i	0.0347665	+	0.0233945i
$449$	27.0930			1.27860			0.639298	−	0.768959i	$-0.279225\pi$
$449$	27.0930			1.27860			0.639298	+	0.768959i	$0.279225\pi$
$450$	1.09341	+	1.52760i	0.0515437	+	0.0720117i
$451$	5.13943	−	3.43406i	0.242007	−	0.161704i
$452$	−2.29259	−	4.66167i	−0.107834	−	0.219267i
$453$	−8.41488	+	1.67382i	−0.395366	+	0.0786431i
$454$	10.0791	+	3.79976i	0.473035	+	0.178331i
$455$	−0.186203	−	0.449534i	−0.00872934	−	0.0210745i
$456$	−7.20352	+	5.89215i	−0.337336	+	0.275925i
$457$	14.5593	−	35.1492i	0.681054	−	1.64421i	−0.0810155	−	0.996713i	$-0.525816\pi$
$457$	14.5593	−	35.1492i	0.681054	−	1.64421i	0.762069	−	0.647496i	$-0.224184\pi$
$458$	28.2245	+	26.4640i	1.31884	+	1.23658i
$459$	−0.129859	+	0.194348i	−0.00606131	+	0.00907139i
$460$	−10.3589	+	17.8971i	−0.482984	+	0.834457i
$461$	18.0765	+	3.59564i	0.841906	+	0.167466i	0.597160	−	0.802122i	$-0.296296\pi$
$461$	18.0765	+	3.59564i	0.841906	+	0.167466i	0.244746	+	0.969587i	$0.421296\pi$
$462$	−0.0603404	+	0.0969177i	−0.00280729	+	0.00450902i
$463$	−8.00454	+	8.00454i	−0.372002	+	0.372002i	−0.868206	−	0.496204i	$-0.834727\pi$
$463$	−8.00454	+	8.00454i	−0.372002	+	0.372002i	0.496204	+	0.868206i	$0.334727\pi$
$464$	0.352294	−	5.20168i	0.0163548	−	0.241482i
$465$	−12.5340	−	12.5340i	−0.581248	−	0.581248i
$466$	−34.3094	+	7.98017i	−1.58935	+	0.369674i
$467$	−1.69184	+	8.50548i	−0.0782892	+	0.393587i	0.921695	+	0.387916i	$0.126805\pi$
$467$	−1.69184	+	8.50548i	−0.0782892	+	0.393587i	−0.999984	+	0.00567046i	$0.998195\pi$
$468$	−2.78462	−	3.63717i	−0.128719	−	0.168128i
$469$	−0.231009	−	0.154355i	−0.0106670	−	0.00712747i
$470$	−10.0225	+	0.322649i	−0.462302	+	0.0148827i
$471$	10.3401	+	4.28301i	0.476446	+	0.197351i
$472$	−17.2135	−	32.3309i	−0.792317	−	1.48815i
$473$	0.461353	−	0.191099i	0.0212130	−	0.00878673i
$474$	−7.88672	−	17.4316i	−0.362249	−	0.800658i
$475$	−0.852682	−	4.28672i	−0.0391237	−	0.196688i
$476$	−0.0389303	−	0.0342159i	−0.00178437	−	0.00156828i
$477$	−2.35939	−	3.53108i	−0.108029	−	0.161677i
$478$	12.6039	+	2.08795i	0.576489	+	0.0955006i
$479$			26.5892i			1.21489i	0.794361	+	0.607445i	$0.207806\pi$
$479$			26.5892i			1.21489i	−0.794361	+	0.607445i	$0.792194\pi$
$480$	7.93139	−	7.38820i	0.362017	−	0.337224i
$481$			24.0212i			1.09527i
$482$	−3.41562	+	20.6184i	−0.155577	+	0.939142i
$483$	−0.332366	−	0.497421i	−0.0151232	−	0.0226334i
$484$	20.8963	−	1.34681i	0.949831	−	0.0612185i
$485$	−6.60857	−	33.2235i	−0.300080	−	1.50860i
$486$	1.28847	−	0.582956i	0.0584463	−	0.0264434i
$487$	24.6832	−	10.2241i	1.11850	−	0.463298i	0.254643	−	0.967035i	$-0.418042\pi$
$487$	24.6832	−	10.2241i	1.11850	−	0.463298i	0.863857	+	0.503737i	$0.168042\pi$
$488$	6.41493	+	5.28212i	0.290390	+	0.239110i
$489$	10.3977	+	4.30687i	0.470200	+	0.194763i
$490$	−0.609271	−	18.9258i	−0.0275241	−	0.854981i
$491$	−6.69605	−	4.47415i	−0.302188	−	0.201916i	0.395226	−	0.918584i	$-0.370666\pi$
$491$	−6.69605	−	4.47415i	−0.302188	−	0.201916i	−0.697414	+	0.716668i	$0.745666\pi$
$492$	2.23437	−	16.8304i	0.100733	−	0.758772i
$493$	−0.0594356	+	0.298803i	−0.00267685	+	0.0134574i
$494$	2.41442	+	10.3804i	0.108630	+	0.467035i
$495$	0.986566	+	0.986566i	0.0443428	+	0.0443428i
$496$	22.5896	−	29.3072i	1.01430	−	1.31593i
$497$	−0.934745	+	0.934745i	−0.0419290	+	0.0419290i
$498$	14.2880	+	8.89564i	0.640262	+	0.398623i
$499$	17.5273	+	3.48640i	0.784631	+	0.156073i	0.571119	−	0.820867i	$-0.306510\pi$
$499$	17.5273	+	3.48640i	0.784631	+	0.156073i	0.213512	+	0.976940i	$0.431510\pi$
$500$	6.25147	+	23.4326i	0.279574	+	1.04794i
$501$	−2.67888	+	4.00922i	−0.119683	+	0.179119i
$502$	5.87736	−	6.26836i	0.262319	−	0.279771i
$503$	−6.94891	+	16.7762i	−0.309837	+	0.748012i	0.689873	+	0.723930i	$0.257666\pi$
$503$	−6.94891	+	16.7762i	−0.309837	+	0.748012i	−0.999710	+	0.0240816i	$0.992334\pi$
$504$	0.0905401	+	0.300232i	0.00403297	+	0.0133734i
$505$	11.0846	+	26.7606i	0.493258	+	1.19083i
$506$	1.96006	−	5.19918i	0.0871352	−	0.231132i
$507$	7.60523	−	1.51277i	0.337760	−	0.0671846i
$508$	4.71827	−	13.8501i	0.209339	−	0.614498i
$509$	−15.3197	+	10.2363i	−0.679033	+	0.453715i	−0.846659	−	0.532135i	$-0.821390\pi$
$509$	−15.3197	+	10.2363i	−0.679033	+	0.453715i	0.167626	+	0.985851i	$0.446390\pi$
$510$	−0.515058	+	0.368662i	−0.0228072	+	0.0163246i
$511$	−1.21963			−0.0539531
$512$	17.4208	+	14.4401i	0.769898	+	0.638167i
$513$	−3.29029			−0.145270
$514$	28.6376	−	20.4979i	1.26315	−	0.904123i
$515$	16.4839	−	11.0142i	0.726368	−	0.485344i
$516$	0.442307	−	1.29836i	0.0194715	−	0.0571570i
$517$	2.64265	−	0.525656i	0.116224	−	0.0231183i
$518$	0.580089	−	1.53872i	0.0254876	−	0.0676076i
$519$	−0.459384	−	1.10905i	−0.0201647	−	0.0486819i
$520$	−3.58396	−	11.8844i	−0.157167	−	0.521167i
$521$	−10.4254	+	25.1691i	−0.456744	+	1.10268i	0.512964	+	0.858410i	$0.328548\pi$
$521$	−10.4254	+	25.1691i	−0.456744	+	1.10268i	−0.969708	+	0.244268i	$0.921452\pi$
$522$	1.26079	−	1.34466i	0.0551831	−	0.0588542i
$523$	4.89100	−	7.31990i	0.213869	−	0.320077i	−0.708988	−	0.705220i	$-0.750848\pi$
$523$	4.89100	−	7.31990i	0.213869	−	0.320077i	0.922857	+	0.385143i	$0.125848\pi$
$524$	−6.71135	−	25.1564i	−0.293186	−	1.09896i
$525$	−0.144445	−	0.0287320i	−0.00630411	−	0.00125397i
$526$	−26.2653	−	16.3526i	−1.14522	−	0.713008i
$527$	−1.52895	+	1.52895i	−0.0666020	+	0.0666020i
$528$	−1.77806	+	2.30681i	−0.0773801	+	0.100391i
$529$	4.32460	+	4.32460i	0.188026	+	0.188026i
$530$	−2.60714	−	11.2090i	−0.113247	−	0.486886i
$531$	2.52639	−	12.7010i	0.109636	−	0.551178i
$532$	0.0960163	−	0.723241i	0.00416284	−	0.0313565i
$533$	−16.1662	−	10.8019i	−0.700238	−	0.467884i
$534$	−0.389959	−	12.1133i	−0.0168752	−	0.524195i
$535$	0.0130881	+	0.00542125i	0.000565846	+	0.000234381i
$536$	−5.47165	−	4.50542i	−0.236339	−	0.194604i
$537$	16.6876	−	6.91222i	0.720123	−	0.298285i
$538$	26.8211	−	12.1349i	1.15634	−	0.523174i
$539$	0.992617	+	4.99022i	0.0427550	+	0.214944i
$540$	3.82437	−	0.246488i	0.164575	−	0.0106072i
$541$	13.6094	+	20.3680i	0.585116	+	0.875687i	0.999406	−	0.0344572i	$-0.0109702\pi$
$541$	13.6094	+	20.3680i	0.585116	+	0.875687i	−0.414291	+	0.910145i	$0.635970\pi$
$542$	2.00080	−	12.0778i	0.0859418	−	0.518787i
$543$		−	7.56146i		−	0.324493i
$544$	−0.901245	−	0.967505i	−0.0386405	−	0.0414814i
$545$			1.52689i			0.0654048i
$546$	0.354286	+	0.0586906i	0.0151620	+	0.00251173i
$547$	14.4759	+	21.6646i	0.618943	+	0.926313i	0.999998	+	0.00176131i	$0.000560642\pi$
$547$	14.4759	+	21.6646i	0.618943	+	0.926313i	−0.381056	+	0.924552i	$0.624439\pi$
$548$	29.4797	+	25.9097i	1.25931	+	1.10681i
$549$	0.573164	+	2.88149i	0.0244620	+	0.122979i
$550$	−0.563850	−	1.24625i	−0.0240427	−	0.0531401i
$551$	−3.96211	+	1.64116i	−0.168792	+	0.0699158i
$552$	−7.17248	−	13.4716i	−0.305281	−	0.573387i
$553$	1.38576	+	0.574002i	0.0589286	+	0.0244090i
$554$	−22.8983	+	0.737154i	−0.972853	+	0.0313187i
$555$	−16.7096	−	11.1650i	−0.709282	−	0.473927i
$556$	−15.2525	−	19.9222i	−0.646850	−	0.844891i
$557$	−5.41018	+	27.1988i	−0.229236	+	1.15245i	0.679047	+	0.734095i	$0.262393\pi$
$557$	−5.41018	+	27.1988i	−0.229236	+	1.15245i	−0.908284	+	0.418355i	$0.862607\pi$
$558$	12.7423	−	2.96378i	0.539424	−	0.125467i
$559$	−1.11070	−	1.11070i	−0.0469776	−	0.0469776i
$560$	−0.0574209	+	0.847830i	−0.00242648	+	0.0358274i
$561$	0.120346	−	0.120346i	0.00508099	−	0.00508099i
$562$	6.47349	−	10.3976i	0.273068	−	0.438597i
$563$	30.7068	+	6.10796i	1.29414	+	0.257420i	0.793677	−	0.608340i	$-0.208164\pi$
$563$	30.7068	+	6.10796i	1.29414	+	0.257420i	0.500460	+	0.865760i	$0.333164\pi$
$564$	3.70741	−	6.40534i	0.156110	−	0.269713i
$565$	2.76514	−	4.13833i	0.116330	−	0.174101i
$566$	2.54652	+	2.38768i	0.107038	+	0.100362i
$567$	−0.0424280	+	0.102430i	−0.00178181	+	0.00430166i
$568$	−26.1039	+	21.3518i	−1.09530	+	0.895902i
$569$	−13.9572	−	33.6957i	−0.585116	−	1.41260i	−0.888122	−	0.459607i	$-0.847990\pi$
$569$	−13.9572	−	33.6957i	−0.585116	−	1.41260i	0.303006	−	0.952989i	$-0.402010\pi$
$570$	−8.34300	−	3.14526i	−0.349450	−	0.131740i
$571$	−2.27148	+	0.451826i	−0.0950586	+	0.0189083i	−0.242390	−	0.970179i	$-0.577931\pi$
$571$	−2.27148	+	0.451826i	−0.0950586	+	0.0189083i	0.147332	+	0.989087i	$0.452931\pi$
$572$	1.47195	+	2.99302i	0.0615454	+	0.125144i
$573$	−14.8942	+	9.95199i	−0.622214	+	0.415750i
$574$	0.774703	+	1.08234i	0.0323355	+	0.0451759i
$575$	7.16774			0.298915
$576$	1.53513	+	7.85133i	0.0639637	+	0.327139i
$577$	−19.3888			−0.807166			−0.403583	−	0.914943i	$-0.632235\pi$
$577$	−19.3888			−0.807166			−0.403583	+	0.914943i	$0.632235\pi$
$578$	−13.9481	−	19.4869i	−0.580165	−	0.810550i
$579$	−0.110288	+	0.0736918i	−0.00458339	+	0.00306253i
$580$	4.48229	−	2.20437i	0.186117	−	0.0915315i
$581$	−1.29414	+	0.257420i	−0.0536898	+	0.0106796i
$582$	23.3938	+	8.81931i	0.969703	+	0.365572i
$583$	1.18335	+	2.85685i	0.0490093	+	0.118319i
$584$	−30.9594	−	3.10021i	−1.28111	−	0.128287i
$585$	1.67948	−	4.05462i	0.0694379	−	0.167638i
$586$	−27.0262	−	25.3404i	−1.11644	−	1.04680i
$587$	−13.9976	+	20.9488i	−0.577741	+	0.864651i	−0.999107	−	0.0422399i	$-0.986551\pi$
$587$	−13.9976	+	20.9488i	−0.577741	+	0.864651i	0.421366	+	0.906890i	$0.361551\pi$
$588$	12.0955	+	7.00086i	0.498808	+	0.288711i
$589$	−29.8526	−	5.93804i	−1.23005	−	0.244673i
$590$	18.5472	−	29.7903i	0.763578	−	1.22645i
$591$	8.38168	−	8.38168i	0.344776	−	0.344776i
$592$	18.6365	−	37.5849i	0.765955	−	1.54473i
$593$	−17.4481	−	17.4481i	−0.716506	−	0.716506i	0.251382	−	0.967888i	$-0.419115\pi$
$593$	−17.4481	−	17.4481i	−0.716506	−	0.716506i	−0.967888	+	0.251382i	$0.919115\pi$
$594$	−1.00296	+	0.233284i	−0.0411521	+	0.00957175i
$595$	0.00968751	−	0.0487024i	0.000397149	−	0.00199660i
$596$	−4.84319	+	3.70795i	−0.198385	+	0.151884i
$597$	2.46757	+	1.64878i	0.100991	+	0.0674801i
$598$	−17.4687	+	0.562362i	−0.714348	+	0.0229967i
$599$	−9.41018	−	3.89782i	−0.384490	−	0.159261i	0.182062	−	0.983287i	$-0.441723\pi$
$599$	−9.41018	−	3.89782i	−0.384490	−	0.159261i	−0.566552	+	0.824026i	$0.691723\pi$
$600$	−3.59361	−	1.09651i	−0.146709	−	0.0447649i
$601$	−23.1606	+	9.59343i	−0.944740	+	0.391324i	−0.801251	−	0.598328i	$-0.795832\pi$
$601$	−23.1606	+	9.59343i	−0.944740	+	0.391324i	−0.143489	+	0.989652i	$0.545832\pi$
$602$	0.0443257	+	0.0979704i	0.00180658	+	0.00399298i
$603$	−0.488884	−	2.45779i	−0.0199089	−	0.100089i
$604$	11.3280	−	12.8889i	0.460932	−	0.524441i
$605$	11.1457	+	16.6807i	0.453138	+	0.678169i
$606$	−21.0905	−	3.49383i	−0.856742	−	0.141927i
$607$		−	15.3773i		−	0.624144i	−0.950058	−	0.312072i	$-0.898977\pi$
$607$		−	15.3773i		−	0.624144i	0.950058	−	0.312072i	$-0.101023\pi$
$608$	4.27574	−	18.1149i	0.173404	−	0.734657i
$609$			0.144507i			0.00585573i
$610$	−1.30114	+	7.85433i	−0.0526816	+	0.318013i
$611$	−4.70867	−	7.04702i	−0.190492	−	0.285092i
$612$	−0.0300677	−	0.466513i	−0.00121541	−	0.0188577i
$613$	5.57839	+	28.0445i	0.225309	+	1.13270i	0.913395	+	0.407075i	$0.133451\pi$
$613$	5.57839	+	28.0445i	0.225309	+	1.13270i	−0.688086	+	0.725630i	$0.741549\pi$
$614$	−37.1730	+	16.8185i	−1.50018	+	0.678741i
$615$	15.0281	−	6.22483i	0.605990	−	0.251009i
$616$	−0.0220101	−	0.227270i	−0.000886811	−	0.00915696i
$617$	14.4747	+	5.99562i	0.582730	+	0.241374i	0.654519	−	0.756045i	$-0.272871\pi$
$617$	14.4747	+	5.99562i	0.582730	+	0.241374i	−0.0717897	+	0.997420i	$0.522871\pi$
$618$	0.470793	+	14.6243i	0.0189381	+	0.588274i
$619$	16.6672	+	11.1367i	0.669911	+	0.447620i	0.843451	−	0.537207i	$-0.180520\pi$
$619$	16.6672	+	11.1367i	0.669911	+	0.447620i	−0.173539	+	0.984827i	$0.555520\pi$
$620$	35.1430	+	4.66553i	1.41138	+	0.187372i
$621$	1.05269	−	5.29223i	0.0422430	−	0.212370i
$622$	1.95917	+	8.42311i	0.0785555	+	0.337736i
$623$	0.671848	+	0.671848i	0.0269170	+	0.0269170i
$624$	8.84412	+	2.39039i	0.354048	+	0.0956923i
$625$	−11.7335	+	11.7335i	−0.469339	+	0.469339i
$626$	−4.27363	−	2.66073i	−0.170808	−	0.106344i
$627$	2.34974	+	0.467392i	0.0938395	+	0.0186658i
$628$	−21.6276	+	5.76992i	−0.863037	+	0.230245i
$629$	−1.36195	+	2.03831i	−0.0543046	+	0.0812726i
$630$	−0.205497	+	0.219169i	−0.00818722	+	0.00873189i
$631$	−10.8943	+	26.3012i	−0.433696	+	1.04704i	0.544389	+	0.838833i	$0.316761\pi$
$631$	−10.8943	+	26.3012i	−0.433696	+	1.04704i	−0.978086	+	0.208203i	$0.933239\pi$
$632$	33.7176	+	18.0932i	1.34121	+	0.719707i
$633$	−6.86080	−	16.5634i	−0.272692	−	0.658337i
$634$	3.03386	−	8.04752i	0.120490	−	0.319608i
$635$	13.7489	−	2.73483i	0.545610	−	0.108529i
$636$	8.03987	+	2.73892i	0.318801	+	0.108605i
$637$	13.3072	−	8.89158i	0.527250	−	0.352297i
$638$	−1.09139	+	0.781184i	−0.0432087	+	0.0309274i
$639$	−11.9233			−0.471677
$640$	−3.61272	+	21.3756i	−0.142805	+	0.844946i
$641$	−20.9465			−0.827335			−0.413668	−	0.910428i	$-0.635752\pi$
$641$	−20.9465			−0.827335			−0.413668	+	0.910428i	$0.635752\pi$
$642$	−0.00850203	+	0.00608548i	−0.000335549	+	0.000240175i
$643$	38.9394	−	26.0185i	1.53562	−	1.02607i	0.554609	−	0.832111i	$-0.312868\pi$
$643$	38.9394	−	26.0185i	1.53562	−	1.02607i	0.981010	−	0.193957i	$-0.0621321\pi$
$644$	1.13257	+	0.385829i	0.0446295	+	0.0152038i
$645$	1.28887	−	0.256373i	0.0507494	−	0.0100947i
$646$	−0.383673	+	1.01772i	−0.0150954	+	0.0400415i
$647$	11.2449	+	27.1477i	0.442085	+	1.06729i	0.975216	+	0.221254i	$0.0710151\pi$
$647$	11.2449	+	27.1477i	0.442085	+	1.06729i	−0.533132	+	0.846032i	$0.678985\pi$
$648$	−1.33738	+	2.49227i	−0.0525371	+	0.0979057i
$649$	−3.60841	+	8.71148i	−0.141643	+	0.341956i
$650$	−2.94297	+	3.13876i	−0.115433	+	0.123112i
$651$	−0.569803	+	0.852771i	−0.0223324	+	0.0334227i
$652$	−21.7481	+	5.80207i	−0.851722	+	0.227226i
$653$	39.8994	+	7.93648i	1.56138	+	0.310579i	0.898783	−	0.438394i	$-0.144453\pi$
$653$	39.8994	+	7.93648i	1.56138	+	0.310579i	0.662601	+	0.748973i	$0.269453\pi$
$654$	−0.956660	−	0.595610i	−0.0374084	−	0.0232902i
$655$	17.6386	−	17.6386i	0.689196	−	0.689196i
$656$	16.9141	+	29.4437i	0.660384	+	1.14958i
$657$	−7.77856	−	7.77856i	−0.303470	−	0.303470i
$658$	0.131444	+	0.565121i	0.00512422	+	0.0220307i
$659$	2.31867	−	11.6567i	0.0903224	−	0.454081i	−0.908984	−	0.416832i	$-0.863140\pi$
$659$	2.31867	−	11.6567i	0.0903224	−	0.454081i	0.999306	−	0.0372494i	$-0.0118596\pi$
$660$	−2.76616	−	0.367231i	−0.107673	−	0.0142944i
$661$	−4.14081	−	2.76680i	−0.161059	−	0.107616i	0.472429	−	0.881369i	$-0.343377\pi$
$661$	−4.14081	−	2.76680i	−0.161059	−	0.107616i	−0.633488	+	0.773753i	$0.718377\pi$
$662$	−0.766917	−	23.8228i	−0.0298071	−	0.925899i
$663$	−0.494600	−	0.204870i	−0.0192087	−	0.00795649i
$664$	−33.5051	+	3.24482i	−1.30025	+	0.125923i
$665$	0.645791	−	0.267495i	0.0250427	−	0.0103730i
$666$	13.5134	−	6.11399i	0.523633	−	0.236912i
$667$	−1.37208	−	6.89789i	−0.0531270	−	0.267087i
$668$	−0.620268	−	9.62373i	−0.0239989	−	0.372353i
$669$	4.63413	+	6.93546i	0.179166	+	0.268140i
$670$	1.10982	−	6.69941i	0.0428760	−	0.258821i
$671$		−	2.13922i		−	0.0825835i
$672$	−0.508801	−	0.366698i	−0.0196274	−	0.0141457i
$673$			6.62990i			0.255564i	0.991802	+	0.127782i	$0.0407858\pi$
$673$			6.62990i			0.255564i	−0.991802	+	0.127782i	$0.959214\pi$
$674$	29.8497	+	4.94486i	1.14977	+	0.190469i
$675$	−0.737999	−	1.10449i	−0.0284056	−	0.0425120i
$676$	−10.2381	+	11.6487i	−0.393773	+	0.448029i
$677$	−0.612752	−	3.08051i	−0.0235500	−	0.118394i	0.967222	−	0.253932i	$-0.0817238\pi$
$677$	−0.612752	−	3.08051i	−0.0235500	−	0.118394i	−0.990772	+	0.135538i	$0.956724\pi$
$678$	1.51420	+	3.34675i	0.0581526	+	0.128531i
$679$	−1.81080	+	0.750057i	−0.0694920	+	0.0287845i
$680$	0.369709	−	1.21165i	0.0141777	−	0.0464648i
$681$	−7.03686	−	2.91476i	−0.269653	−	0.111694i
$682$	−9.52083	+	0.306500i	−0.364571	+	0.0117365i
$683$	−12.6038	−	8.42156i	−0.482269	−	0.322242i	0.290559	−	0.956857i	$-0.406159\pi$
$683$	−12.6038	−	8.42156i	−0.482269	−	0.322242i	−0.772828	+	0.634615i	$0.781159\pi$
$684$	5.22508	−	4.00033i	0.199786	−	0.152956i
$685$	−7.33580	+	36.8796i	−0.280287	+	1.40910i
$686$	−2.13616	+	0.496858i	−0.0815589	+	0.0189701i
$687$	−19.3453	−	19.3453i	−0.738070	−	0.738070i
$688$	0.876143	+	2.59959i	0.0334026	+	0.0991083i
$689$	6.87783	−	6.87783i	0.262024	−	0.262024i
$690$	7.72821	−	12.4129i	0.294208	−	0.472552i
$691$	37.6838	+	7.49577i	1.43356	+	0.285153i	0.849942	−	0.526877i	$-0.176637\pi$
$691$	37.6838	+	7.49577i	1.43356	+	0.285153i	0.583617	+	0.812029i	$0.301637\pi$
$692$	2.07789	+	1.20269i	0.0789897	+	0.0457193i
$693$	0.0448500	−	0.0671228i	0.00170371	−	0.00254979i
$694$	24.2271	+	22.7159i	0.919649	+	0.862284i
$695$	9.19918	−	22.2088i	0.348945	−	0.842427i
$696$	−0.367328	+	3.66822i	−0.0139235	+	0.139044i
$697$	−0.759331	−	1.83319i	−0.0287617	−	0.0694369i
$698$	−21.4129	−	8.07253i	−0.810490	−	0.305550i
$699$	24.4294	−	4.85931i	0.924005	−	0.183796i
$700$	0.264316	−	0.129989i	0.00999019	−	0.00491313i
$701$	−24.2133	+	16.1788i	−0.914525	+	0.611066i	−0.921275	−	0.388911i	$-0.872851\pi$
$701$	−24.2133	+	16.1788i	−0.914525	+	0.611066i	0.00675005	+	0.999977i	$0.497851\pi$
$702$	1.88525	+	2.63389i	0.0711543	+	0.0994098i
$703$	−34.5083			−1.30150
$704$	0.0189938	−	5.82504i	0.000715854	−	0.219539i
$705$	7.09062			0.267048
$706$	−10.6046	−	14.8157i	−0.399110	−	0.557597i
$707$	1.39351	−	0.931112i	0.0524082	−	0.0350181i
$708$	11.4299	+	23.2412i	0.429562	+	0.873458i
$709$	−3.60404	+	0.716889i	−0.135353	+	0.0269233i	−0.262302	−	0.964986i	$-0.584482\pi$
$709$	−3.60404	+	0.716889i	−0.135353	+	0.0269233i	0.126949	+	0.991909i	$0.459482\pi$
$710$	−30.2332	−	11.3977i	−1.13463	−	0.427749i
$711$	5.17727	+	12.4990i	0.194163	+	0.468750i
$712$	15.3466	+	18.7622i	0.575139	+	0.703143i
$713$	19.1020	−	46.1162i	0.715374	−	1.72707i
$714$	0.0267351	+	0.0250675i	0.00100054	+	0.000938127i
$715$	−1.77535	+	2.65701i	−0.0663945	+	0.0993664i
$716$	−18.0965	+	31.2655i	−0.676298	+	1.16845i
$717$	−8.86019	−	1.76240i	−0.330890	−	0.0658181i
$718$	−13.1935	+	21.1912i	−0.492378	+	0.790849i
$719$	−6.75809	+	6.75809i	−0.252034	+	0.252034i	−0.821804	−	0.569770i	$-0.807032\pi$
$719$	−6.75809	+	6.75809i	−0.252034	+	0.252034i	0.569770	+	0.821804i	$0.307032\pi$
$720$	−5.77353	+	5.04109i	−0.215167	+	0.187870i
$721$	−0.811114	−	0.811114i	−0.0302075	−	0.0302075i
$722$	11.2592	−	2.61883i	0.419025	−	0.0974628i
$723$	2.88306	−	14.4941i	0.107222	−	0.539043i
$724$	9.19320	+	12.0078i	0.341663	+	0.446267i
$725$	−1.43960	−	0.961907i	−0.0534652	−	0.0357243i
$726$	−14.7989	+	0.476415i	−0.549239	+	0.0176814i
$727$	−3.69197	−	1.52926i	−0.136928	−	0.0567173i	0.313167	−	0.949698i	$-0.398610\pi$
$727$	−3.69197	−	1.52926i	−0.136928	−	0.0567173i	−0.450095	+	0.892981i	$0.648610\pi$
$728$	−0.633972	+	0.337537i	−0.0234966	+	0.0125100i
$729$	−0.923880	+	0.382683i	−0.0342178	+	0.0141735i
$730$	−12.2880	−	27.1593i	−0.454797	−	1.00521i
$731$	−0.0312735	−	0.157223i	−0.00115669	−	0.00581508i
$732$	−4.41351	−	3.87904i	−0.163128	−	0.143373i
$733$	23.4233	+	35.0554i	0.865159	+	1.29480i	0.954321	+	0.298785i	$0.0965812\pi$
$733$	23.4233	+	35.0554i	0.865159	+	1.29480i	−0.0891617	+	0.996017i	$0.528419\pi$
$734$	20.5530	+	3.40478i	0.758624	+	0.125673i
$735$			13.3895i			0.493879i
$736$	27.7688	+	12.6729i	1.02357	+	0.467131i
$737$			1.82466i			0.0672122i
$738$	−1.96204	+	11.8439i	−0.0722239	+	0.435979i
$739$	−10.6129	−	15.8833i	−0.390402	−	0.584277i	0.583257	−	0.812288i	$-0.301778\pi$
$739$	−10.6129	−	15.8833i	−0.390402	−	0.584277i	−0.973659	+	0.228010i	$0.926778\pi$
$740$	40.1096	−	2.58515i	1.47446	−	0.0950319i
$741$	−1.47020	−	7.39117i	−0.0540090	−	0.271521i
$742$	−0.606666	+	0.274479i	−0.0222714	+	0.0100765i
$743$	−38.1001	+	15.7816i	−1.39776	+	0.578970i	−0.949168	−	0.314769i	$-0.898073\pi$
$743$	−38.1001	+	15.7816i	−1.39776	+	0.578970i	−0.448588	+	0.893739i	$0.648073\pi$
$744$	−16.6318	+	20.1986i	−0.609750	+	0.740517i
$745$	−5.39906	−	2.23636i	−0.197806	−	0.0819340i
$746$	−1.25422	−	38.9599i	−0.0459203	−	1.42642i
$747$	−9.89554	−	6.61199i	−0.362059	−	0.241920i
$748$	−0.0447964	+	0.337428i	−0.00163792	+	0.0123376i
$749$	0.000159911	0	0.000803927i	5.84302e−6	0	2.93749e-5i
$750$	−3.88503	−	16.7030i	−0.141861	−	0.609909i
$751$	−15.5314	−	15.5314i	−0.566749	−	0.566749i	0.364467	−	0.931216i	$-0.381251\pi$
$751$	−15.5314	−	15.5314i	−0.566749	−	0.566749i	−0.931216	+	0.364467i	$0.881251\pi$
$752$	1.90012	+	14.6793i	0.0692901	+	0.535300i
$753$	−4.29639	+	4.29639i	−0.156569	+	0.156569i
$754$	3.58395	+	2.23134i	0.130520	+	0.0812607i
$755$	16.1242	+	3.20730i	0.586819	+	0.116726i
$756$	−0.0571575	−	0.214246i	−0.00207880	−	0.00779205i
$757$	3.59256	−	5.37665i	0.130574	−	0.195418i	−0.760422	−	0.649430i	$-0.775008\pi$
$757$	3.59256	−	5.37665i	0.130574	−	0.195418i	0.890996	+	0.454012i	$0.150008\pi$
$758$	−29.0650	+	30.9986i	−1.05569	+	1.12592i
$759$	−1.50354	+	3.62988i	−0.0545752	+	0.131756i
$760$	17.0729	−	5.14864i	0.619300	−	0.186761i
$761$	−1.60346	−	3.87111i	−0.0581255	−	0.140327i	0.892149	−	0.451742i	$-0.149197\pi$
$761$	−1.60346	−	3.87111i	−0.0581255	−	0.140327i	−0.950274	+	0.311415i	$0.899197\pi$
$762$	−3.64971	+	9.68107i	−0.132215	+	0.350708i
$763$	0.0866493	−	0.0172356i	0.00313691	−	0.000623971i
$764$	11.5528	−	33.9124i	0.417966	−	1.22691i
$765$	0.372400	−	0.248830i	0.0134642	−	0.00899647i
$766$	13.2747	−	9.50159i	0.479634	−	0.343306i
$767$	29.6600			1.07096
$768$	−11.9835	−	10.6017i	−0.432416	−	0.382557i
$769$	−52.1244			−1.87965			−0.939827	−	0.341650i	$-0.889014\pi$
$769$	−52.1244			−1.87965			−0.939827	+	0.341650i	$0.889014\pi$
$770$	0.177888	−	0.127326i	0.00641064	−	0.00458853i
$771$	−20.7057	+	13.8351i	−0.745699	+	0.498260i
$772$	0.0855456	−	0.251112i	0.00307885	−	0.00903772i
$773$	5.83461	−	1.16058i	0.209856	−	0.0417430i	−0.0890426	−	0.996028i	$-0.528381\pi$
$773$	5.83461	−	1.16058i	0.209856	−	0.0417430i	0.298899	+	0.954285i	$0.403381\pi$
$774$	−0.342137	+	0.907539i	−0.0122978	+	0.0326208i
$775$	−4.70251	−	11.3529i	−0.168919	−	0.407807i
$776$	−47.8725	+	14.4368i	−1.71852	+	0.518250i
$777$	−0.444981	+	1.07428i	−0.0159636	+	0.0385396i
$778$	4.01215	−	4.27907i	0.143843	−	0.153412i
$779$	15.5178	−	23.2241i	0.555984	−	0.832089i
$780$	2.26254	+	8.48076i	0.0810118	+	0.303660i
$781$	8.51492	+	1.69372i	0.304688	+	0.0606062i
$782$	−1.51418	−	0.942721i	−0.0541471	−	0.0337116i
$783$	−0.921642	+	0.921642i	−0.0329368	+	0.0329368i
$784$	−27.7196	+	3.58807i	−0.989985	+	0.128145i
$785$	−15.1644	−	15.1644i	−0.541239	−	0.541239i
$786$	4.17083	+	17.9318i	0.148768	+	0.639605i
$787$	−8.35234	+	41.9901i	−0.297729	+	1.49678i	0.485051	+	0.874486i	$0.338801\pi$
$787$	−8.35234	+	41.9901i	−0.297729	+	1.49678i	−0.782780	+	0.622298i	$0.786199\pi$
$788$	−3.11992	+	23.5008i	−0.111143	+	0.837180i
$789$	18.1907	+	12.1546i	0.647607	+	0.432717i
$790$	1.17961	+	36.6421i	0.0419685	+	1.30367i
$791$	−0.266058	−	0.110205i	−0.00945994	−	0.00391843i
$792$	1.30911	−	1.58986i	0.0465172	−	0.0564933i
$793$	−6.21675	+	2.57506i	−0.220763	+	0.0914432i
$794$	13.6727	−	6.18606i	0.485225	−	0.219535i
$795$	1.58755	+	7.98114i	0.0563045	+	0.283062i
$796$	−5.92316	+	0.381759i	−0.209941	+	0.0135311i
$797$	−1.41736	−	2.12123i	−0.0502055	−	0.0751379i	0.805518	−	0.592572i	$-0.201887\pi$
$797$	−1.41736	−	2.12123i	−0.0502055	−	0.0751379i	−0.855723	+	0.517434i	$0.826887\pi$
$798$	−0.0843137	+	0.508959i	−0.00298467	+	0.0180170i
$799$		−	0.864945i		−	0.0305995i
$800$	7.03990	−	2.62781i	0.248898	−	0.0929073i
$801$			8.56985i			0.302801i
$802$	10.1368	+	1.67925i	0.357942	+	0.0592963i
$803$	4.45004	+	6.65996i	0.157039	+	0.235025i
$804$	3.76453	+	3.30865i	0.132765	+	0.116687i
$805$	0.223637	+	1.12430i	0.00788216	+	0.0396263i
$806$	12.3513	+	27.2994i	0.435057	+	0.961582i
$807$	−19.2317	+	7.96601i	−0.676986	+	0.280417i
$808$	37.7401	−	20.0934i	1.32769	−	0.706885i
$809$	4.41836	+	1.83014i	0.155341	+	0.0643444i	0.458999	−	0.888437i	$-0.348208\pi$
$809$	4.41836	+	1.83014i	0.155341	+	0.0643444i	−0.303658	+	0.952781i	$0.598208\pi$
$810$	−2.70844	+	0.0871918i	−0.0951650	+	0.00306361i
$811$	27.7313	+	18.5295i	0.973778	+	0.650658i	0.937244	−	0.348675i	$-0.113368\pi$
$811$	27.7313	+	18.5295i	0.973778	+	0.650658i	0.0365345	+	0.999332i	$0.488368\pi$
$812$	−0.175692	−	0.229482i	−0.00616557	−	0.00805323i
$813$	−1.68884	+	8.49038i	−0.0592302	+	0.297770i
$814$	−10.5190	+	2.44666i	−0.368691	+	0.0857554i
$815$	−15.2488	−	15.2488i	−0.534143	−	0.534143i
$816$	0.614934	+	0.704280i	0.0215270	+	0.0246547i
$817$	1.59561	−	1.59561i	0.0558232	−	0.0558232i
$818$	14.3108	−	22.9858i	0.500365	−	0.803678i
$819$	−0.249053	−	0.0495397i	−0.00870261	−	0.00173106i
$820$	−16.2969	+	28.1563i	−0.569111	+	0.983260i
$821$	−30.1212	+	45.0795i	−1.05124	+	1.57329i	−0.256297	+	0.966598i	$0.582502\pi$
$821$	−30.1212	+	45.0795i	−1.05124	+	1.57329i	−0.794940	+	0.606689i	$0.792498\pi$
$822$	−20.2450	−	18.9822i	−0.706126	−	0.662080i
$823$	6.46490	−	15.6077i	0.225352	−	0.544048i	−0.770249	−	0.637744i	$-0.779868\pi$
$823$	6.46490	−	15.6077i	0.225352	−	0.544048i	0.995601	+	0.0936952i	$0.0298679\pi$
$824$	−18.5278	−	22.6514i	−0.645446	−	0.789098i
$825$	0.370142	+	0.893601i	0.0128867	+	0.0311112i
$826$	−1.89993	−	0.716260i	−0.0661068	−	0.0249219i
$827$	−29.5950	+	5.88681i	−1.02912	+	0.204705i	−0.680645	−	0.732614i	$-0.738300\pi$
$827$	−29.5950	+	5.88681i	−1.02912	+	0.204705i	−0.348475	+	0.937318i	$0.613300\pi$
$828$	4.76258	+	9.68408i	0.165511	+	0.336545i
$829$	47.1468	−	31.5025i	1.63747	−	1.09413i	0.721883	−	0.692015i	$-0.243277\pi$
$829$	47.1468	−	31.5025i	1.63747	−	1.09413i	0.915591	−	0.402111i	$-0.131723\pi$
$830$	−18.7710	−	26.2250i	−0.651552	−	0.910284i
$831$	16.1999			0.561968
$832$	−16.9510	+	6.95665i	−0.587669	+	0.241178i
$833$	1.63331			0.0565908
$834$	10.3263	+	14.4269i	0.357570	+	0.499562i
$835$	7.68227	−	5.13313i	0.265856	−	0.177639i
$836$	−4.29971	+	2.11457i	−0.148708	+	0.0731341i
$837$	−9.07292	+	1.80472i	−0.313606	+	0.0623801i
$838$	−0.948636	−	0.357630i	−0.0327701	−	0.0123541i
$839$	2.36166	+	5.70155i	0.0815335	+	0.196839i	0.959389	−	0.282086i	$-0.0910264\pi$
$839$	2.36166	+	5.70155i	0.0815335	+	0.196839i	−0.877856	+	0.478925i	$0.841026\pi$
$840$	0.0598714	−	0.597889i	0.00206576	−	0.0206291i
$841$	10.4477	−	25.2230i	0.360265	−	0.869758i
$842$	5.75269	+	5.39385i	0.198251	+	0.185884i
$843$	−4.81164	+	7.20113i	−0.165722	+	0.248020i
$844$	31.0329	+	17.9619i	1.06820	+	0.618273i
$845$	−14.5728	−	2.89870i	−0.501318	−	0.0997184i
$846$	−2.76591	+	4.44256i	−0.0950940	+	0.152738i
$847$	0.820799	−	0.820799i	0.0282030	−	0.0282030i
$848$	−16.0975	+	5.42537i	−0.552791	+	0.186308i
$849$	−1.74541	−	1.74541i	−0.0599022	−	0.0599022i
$850$	−0.427686	+	0.0994773i	−0.0146695	+	0.00341204i
$851$	11.0405	−	55.5045i	0.378465	−	1.90267i
$852$	18.9345	−	14.4963i	0.648685	−	0.496635i
$853$	−23.8720	−	15.9508i	−0.817363	−	0.546144i	0.0751468	−	0.997172i	$-0.476057\pi$
$853$	−23.8720	−	15.9508i	−0.817363	−	0.546144i	−0.892510	+	0.451028i	$0.851057\pi$
$854$	0.460411	−	0.0148218i	0.0157550	−	0.000507193i
$855$	5.82478	+	2.41270i	0.199203	+	0.0825127i
$856$	0.00610276	−	0.0200007i	0.000208588	−	0.000683609i
$857$	−7.49942	+	3.10636i	−0.256175	+	0.106111i	−0.507075	−	0.861902i	$-0.669273\pi$
$857$	−7.49942	+	3.10636i	−0.256175	+	0.106111i	0.250900	+	0.968013i	$0.419273\pi$
$858$	−0.972192	−	2.14878i	−0.0331901	−	0.0733581i
$859$	−10.3707	−	52.1369i	−0.353843	−	1.77889i	−0.590238	−	0.807230i	$-0.700966\pi$
$859$	−10.3707	−	52.1369i	−0.353843	−	1.77889i	0.236395	−	0.971657i	$-0.424034\pi$
$860$	−1.73507	+	1.97414i	−0.0591655	+	0.0673176i
$861$	−0.522889	−	0.782558i	−0.0178200	−	0.0266695i
$862$	−21.1250	−	3.49955i	−0.719520	−	0.119195i
$863$		−	24.4868i		−	0.833541i	−0.909012	−	0.416770i	$-0.863162\pi$
$863$		−	24.4868i		−	0.833541i	0.909012	−	0.416770i	$-0.136838\pi$
$864$	−0.906307	−	5.58378i	−0.0308332	−	0.189964i
$865$			2.30020i			0.0782092i
$866$	−2.63289	+	15.8934i	−0.0894691	+	0.540080i
$867$	9.41434	+	14.0896i	0.319728	+	0.478506i
$868$	−0.131933	−	2.04699i	−0.00447808	−	0.0694794i
$869$	−1.92180	−	9.66153i	−0.0651926	−	0.327745i
$870$	−3.21797	+	1.45594i	−0.109100	+	0.0493609i
$871$	5.30262	−	2.19642i	0.179672	−	0.0744228i
$872$	2.24335	−	0.217258i	0.0759693	−	0.00735728i
$873$	−16.3327	−	6.76521i	−0.552777	−	0.228968i
$874$	−0.807877	−	25.0951i	−0.0273269	−	0.848856i
$875$	1.11784	+	0.746918i	0.0377899	+	0.0252504i
$876$	21.8097	+	2.89542i	0.736882	+	0.0978273i
$877$	8.24707	−	41.4608i	0.278484	−	1.40003i	−0.547721	−	0.836661i	$-0.684504\pi$
$877$	8.24707	−	41.4608i	0.278484	−	1.40003i	0.826204	−	0.563370i	$-0.190496\pi$
$878$	12.3840	+	53.2430i	0.417941	+	1.79687i
$879$	18.5240	+	18.5240i	0.624799	+	0.624799i
$880$	4.83922	−	2.77992i	0.163130	−	0.0937110i
$881$	3.06683	−	3.06683i	0.103324	−	0.103324i	−0.653555	−	0.756879i	$-0.726723\pi$
$881$	3.06683	−	3.06683i	0.103324	−	0.103324i	0.756879	+	0.653555i	$0.226723\pi$
$882$	−8.38907	−	5.22299i	−0.282475	−	0.175867i
$883$	21.9192	+	4.35999i	0.737639	+	0.146725i	0.549590	−	0.835434i	$-0.314784\pi$
$883$	21.9192	+	4.35999i	0.737639	+	0.146725i	0.188048	+	0.982160i	$0.439784\pi$
$884$	1.03452	−	0.275994i	0.0347947	−	0.00928268i
$885$	−13.7859	+	20.6320i	−0.463407	+	0.693538i
$886$	−31.1787	+	33.2529i	−1.04747	+	1.11715i
$887$	−0.539950	+	1.30355i	−0.0181298	+	0.0437691i	−0.932685	−	0.360692i	$-0.882541\pi$
$887$	−0.539950	+	1.30355i	−0.0181298	+	0.0437691i	0.914555	+	0.404461i	$0.132541\pi$
$888$	−14.0263	+	26.1387i	−0.470692	+	0.877159i
$889$	−0.310397	−	0.749365i	−0.0104104	−	0.0251329i
$890$	−8.19211	+	21.7301i	−0.274600	+	0.728394i
$891$	0.714143	−	0.142052i	0.0239247	−	0.00475892i
$892$	−15.7912	−	5.37955i	−0.528730	−	0.180121i
$893$	10.1236	−	6.76437i	0.338773	−	0.226361i
$894$	3.50724	−	2.51037i	0.117300	−	0.0839593i
$895$	−34.6105			−1.15690
$896$	1.25382	−	0.0362716i	0.0418873	−	0.00121175i
$897$	12.3586			0.412642
$898$	31.1565	−	22.3008i	1.03971	−	0.744189i
$899$	−10.0253	+	6.69869i	−0.334362	+	0.223414i
$900$	2.51481	+	0.856711i	0.0838268	+	0.0285570i
$901$	0.973575	−	0.193656i	0.0324345	−	0.00645162i
$902$	3.08363	−	8.17951i	0.102673	−	0.272348i
$903$	−0.0290977	−	0.0702482i	−0.000968312	−	0.00233771i
$904$	−6.47357	−	3.47378i	−0.215308	−	0.115536i
$905$	−5.54466	+	13.3860i	−0.184311	+	0.444966i
$906$	−8.29924	+	8.85136i	−0.275724	+	0.294067i
$907$	−8.28729	+	12.4028i	−0.275175	+	0.411828i	−0.943156	−	0.332350i	$-0.892159\pi$
$907$	−8.28729	+	12.4028i	−0.275175	+	0.411828i	0.667981	+	0.744178i	$0.267159\pi$
$908$	14.7185	−	3.92667i	0.488450	−	0.130311i
$909$	14.8260	+	2.94907i	0.491747	+	0.0978146i
$910$	−0.584153	−	0.363690i	−0.0193645	−	0.0120562i
$911$	38.8422	−	38.8422i	1.28690	−	1.28690i	0.350240	−	0.936660i	$-0.386100\pi$
$911$	38.8422	−	38.8422i	1.28690	−	1.28690i	0.936660	−	0.350240i	$-0.113900\pi$
$912$	−3.43399	+	12.7053i	−0.113711	+	0.420714i
$913$	6.12759	+	6.12759i	0.202794	+	0.202794i
$914$	−12.1891	−	52.4051i	−0.403181	−	1.73341i
$915$	1.09827	−	5.52137i	0.0363077	−	0.182531i
$916$	54.2409	+	7.20093i	1.79217	+	0.237926i
$917$	−1.20007	−	0.801864i	−0.0396299	−	0.0264799i
$918$	0.0106360	+	0.330388i	0.000351042	+	0.0109044i
$919$	−41.8687	−	17.3426i	−1.38112	−	0.572080i	−0.436341	−	0.899781i	$-0.643726\pi$
$919$	−41.8687	−	17.3426i	−1.38112	−	0.572080i	−0.944781	+	0.327702i	$0.893726\pi$
$920$	2.81898	+	29.1080i	0.0929391	+	0.959663i
$921$	26.6544	−	11.0406i	0.878291	−	0.363800i
$922$	23.7474	−	10.7442i	0.782078	−	0.353843i
$923$	−5.32766	−	26.7839i	−0.175362	−	0.881604i
$924$	0.0103846	+	0.161122i	0.000341628	+	0.00530051i
$925$	−7.74007	−	11.5838i	−0.254492	−	0.380874i
$926$	−2.61639	+	15.7938i	−0.0859799	+	0.519017i
$927$		−	10.3463i		−	0.339816i
$928$	−3.87649	−	6.27184i	−0.127252	−	0.205883i
$929$		−	29.1505i		−	0.956397i	−0.878252	−	0.478199i	$-0.841290\pi$
$929$		−	29.1505i		−	0.956397i	0.878252	−	0.478199i	$-0.158710\pi$
$930$	−24.7309	−	4.09689i	−0.810957	−	0.134342i
$931$	12.7734	+	19.1168i	0.418633	+	0.626528i
$932$	−32.8867	+	37.4179i	−1.07724	+	1.22567i
$933$	−1.19298	−	5.99753i	−0.0390565	−	0.196350i
$934$	5.05546	+	11.1738i	0.165420	+	0.365617i
$935$	−0.301294	+	0.124800i	−0.00985336	+	0.00408140i
$936$	−6.19611	−	1.89061i	−0.202526	−	0.0617964i
$937$	35.0537	+	14.5197i	1.14515	+	0.474338i	0.872906	−	0.487889i	$-0.162233\pi$
$937$	35.0537	+	14.5197i	1.14515	+	0.474338i	0.272248	+	0.962227i	$0.412233\pi$
$938$	−0.392711	+	0.0126424i	−0.0128225	+	0.000412788i
$939$	2.95981	+	1.97768i	0.0965897	+	0.0645392i
$940$	−11.2601	+	8.62076i	−0.367264	+	0.281178i
$941$	−7.54038	+	37.9081i	−0.245809	+	1.23577i	0.638777	+	0.769392i	$0.279440\pi$
$941$	−7.54038	+	37.9081i	−0.245809	+	1.23577i	−0.884587	+	0.466376i	$0.845560\pi$
$942$	15.4164	−	3.58577i	0.502294	−	0.116831i
$943$	32.3898	+	32.3898i	1.05476	+	1.05476i
$944$	−46.4076	−	23.0113i	−1.51044	−	0.748953i
$945$	0.150220	−	0.150220i	0.00488665	−	0.00488665i
$946$	0.373252	−	0.599511i	0.0121355	−	0.0194918i
$947$	−22.2000	−	4.41585i	−0.721402	−	0.143496i	−0.179283	−	0.983798i	$-0.557378\pi$
$947$	−22.2000	−	4.41585i	−0.721402	−	0.143496i	−0.542119	+	0.840302i	$0.682378\pi$
$948$	−23.4179	−	13.5543i	−0.760579	−	0.440224i
$949$	13.9977	−	20.9491i	0.454386	−	0.680037i
$950$	−4.50907	−	4.22781i	−0.146294	−	0.137168i
$951$	−2.32725	+	5.61848i	−0.0754663	+	0.182192i
$952$	−0.0729331	−	0.00730337i	−0.00236378	−	0.000236703i
$953$	−19.9555	−	48.1770i	−0.646424	−	1.56060i	−0.817865	−	0.575410i	$-0.804842\pi$
$953$	−19.9555	−	48.1770i	−0.646424	−	1.56060i	0.171441	−	0.985194i	$-0.445158\pi$
$954$	−5.61978	−	2.11862i	−0.181947	−	0.0685930i
$955$	33.6647	−	6.69632i	1.08936	−	0.216688i
$956$	16.2130	−	7.97345i	0.524365	−	0.257880i
$957$	0.789105	−	0.527263i	0.0255081	−	0.0170440i
$958$	21.8862	+	30.5772i	0.707110	+	0.987904i
$959$	2.17568			0.0702563
$960$	3.03959	−	15.0248i	0.0981023	−	0.484924i
$961$	−54.5750			−1.76048
$962$	19.7724	+	27.6240i	0.637487	+	0.890634i
$963$	0.00614719	−	0.00410742i	0.000198090	−	0.000132360i
$964$	13.0436	+	26.5223i	0.420104	+	0.854227i
$965$	0.249278	−	0.0495845i	0.00802454	−	0.00159618i
$966$	−0.791655	−	0.298449i	−0.0254711	−	0.00960245i
$967$	1.82998	+	4.41796i	0.0588481	+	0.142072i	0.950569	−	0.310515i	$-0.100501\pi$
$967$	1.82998	+	4.41796i	0.0588481	+	0.142072i	−0.891720	+	0.452587i	$0.850501\pi$
$968$	22.9219	−	18.7490i	0.736736	−	0.602616i
$969$	0.294312	−	0.710532i	0.00945466	−	0.0228256i
$970$	−34.9468	−	32.7669i	−1.12207	−	1.05208i
$971$	20.3883	−	30.5132i	0.654292	−	0.979217i	−0.344885	−	0.938645i	$-0.612082\pi$
$971$	20.3883	−	30.5132i	0.654292	−	0.979217i	0.999177	−	0.0405718i	$-0.0129180\pi$
$972$	1.00188	−	1.73096i	0.0321354	−	0.0555207i
$973$	−1.36416	−	0.271349i	−0.0437330	−	0.00869904i
$974$	19.9696	−	32.0748i	0.639867	−	1.02774i
$975$	2.15133	−	2.15133i	0.0688977	−	0.0688977i
$976$	11.7249	+	0.794092i	0.375305	+	0.0254183i
$977$	31.2695	+	31.2695i	1.00040	+	1.00040i	1.00000		0.000400609i	$0.000127518\pi$
$977$	31.2695	+	31.2695i	1.00040	+	1.00040i	0.000400609		1.00000i	$0.499872\pi$
$978$	15.5023	−	3.60575i	0.495709	−	0.115299i
$979$	1.21736	−	6.12010i	0.0389071	−	0.195599i
$980$	−16.2789	−	21.2629i	−0.520011	−	0.679219i
$981$	0.662559	+	0.442708i	0.0211539	+	0.0141346i
$982$	−11.3831	+	0.366453i	−0.363251	+	0.0116940i
$983$	31.9726	+	13.2435i	1.01977	+	0.422401i	0.829009	−	0.559236i	$-0.188905\pi$
$983$	31.9726	+	13.2435i	1.01977	+	0.422401i	0.190758	+	0.981637i	$0.438905\pi$
$984$	−11.2840	−	21.1939i	−0.359720	−	0.675636i
$985$	−20.9841	+	8.69191i	−0.668610	+	0.276947i
$986$	0.177602	+	0.392542i	0.00565599	+	0.0125011i
$987$	−0.0800392	−	0.402384i	−0.00254768	−	0.0128080i
$988$	11.3209	+	9.94993i	0.360165	+	0.316550i
$989$	2.05594	+	3.07694i	0.0653752	+	0.0978409i
$990$	1.94660	+	0.322472i	0.0618671	+	0.0102488i
$991$		−	47.6444i		−	1.51347i	−0.653719	−	0.756737i	$-0.726792\pi$
$991$		−	47.6444i		−	1.51347i	0.653719	−	0.756737i	$-0.273208\pi$
$992$	1.85429	−	52.2969i	0.0588738	−	1.66043i
$993$			16.8540i			0.534845i
$994$	−0.305534	+	1.84435i	−0.00969095	+	0.0584994i
$995$	−3.15931	−	4.72824i	−0.100157	−	0.149895i
$996$	23.7532	−	1.53094i	0.752651	−	0.0485098i
$997$	−4.54135	−	22.8309i	−0.143826	−	0.723062i	−0.983634	−	0.180178i	$-0.942332\pi$
$997$	−4.54135	−	22.8309i	−0.143826	−	0.723062i	0.839808	−	0.542884i	$-0.182668\pi$
$998$	23.0259	−	10.4178i	0.728873	−	0.329771i
$999$	−9.68957	+	4.01355i	−0.306564	+	0.126983i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.r.a.13.15	✓	128
3.2	odd	2		576.2.bd.b.397.2		128
4.3	odd	2		768.2.r.a.145.14		128
64.5	even	16	inner	192.2.r.a.133.15	yes	128
64.59	odd	16		768.2.r.a.625.14		128
192.5	odd	16		576.2.bd.b.325.2		128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.r.a.13.15	✓	128	1.1	even	1	trivial
192.2.r.a.133.15	yes	128	64.5	even	16	inner
576.2.bd.b.325.2		128	192.5	odd	16
576.2.bd.b.397.2		128	3.2	odd	2
768.2.r.a.145.14		128	4.3	odd	2
768.2.r.a.625.14		128	64.59	odd	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.14999 - 0.823123i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(0.644937 - 1.89316i) q^{4} +(1.87933 - 0.373823i) q^{5} +(-0.498876 + 1.32330i) q^{6} +(-0.0424280 - 0.102430i) q^{7} +(-0.816635 - 2.70797i) q^{8} +(0.382683 - 0.923880i) q^{9} +O(q^{10})\)	\(q+(1.14999 - 0.823123i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(0.644937 - 1.89316i) q^{4} +(1.87933 - 0.373823i) q^{5} +(-0.498876 + 1.32330i) q^{6} +(-0.0424280 - 0.102430i) q^{7} +(-0.816635 - 2.70797i) q^{8} +(0.382683 - 0.923880i) q^{9} +(1.85351 - 1.97681i) q^{10} +(-0.404530 + 0.605421i) q^{11} +(0.515538 + 1.93241i) q^{12} +(2.24636 + 0.446828i) q^{13} +(-0.133104 - 0.0828699i) q^{14} +(-1.35492 + 1.35492i) q^{15} +(-3.16811 - 2.44194i) q^{16} +(0.165279 + 0.165279i) q^{17} +(-0.320386 - 1.37744i) q^{18} +(-0.641904 + 3.22707i) q^{19} +(0.504345 - 3.79897i) q^{20} +(0.0921847 + 0.0615959i) q^{21} +(0.0331327 + 1.02920i) q^{22} +(-4.98518 - 2.06493i) q^{23} +(2.18348 + 1.79790i) q^{24} +(-1.22725 + 0.508343i) q^{25} +(2.95108 - 1.33518i) q^{26} +(0.195090 + 0.980785i) q^{27} +(-0.221280 + 0.0142619i) q^{28} +(0.724129 + 1.08374i) q^{29} +(-0.442875 + 2.67341i) q^{30} +9.25067i q^{31} +(-5.65330 - 0.200449i) q^{32} -0.728134i q^{33} +(0.326114 + 0.0540238i) q^{34} +(-0.118027 - 0.176640i) q^{35} +(-1.50225 - 1.32033i) q^{36} +(2.04609 + 10.2864i) q^{37} +(1.91809 + 4.23945i) q^{38} +(-2.11602 + 0.876485i) q^{39} +(-2.54703 - 4.78390i) q^{40} +(-7.84283 - 3.24861i) q^{41} +(0.156712 - 0.00504497i) q^{42} +(-0.570234 - 0.381018i) q^{43} +(0.885263 + 1.15630i) q^{44} +(0.373823 - 1.87933i) q^{45} +(-7.43257 + 1.72877i) q^{46} +(-2.61661 - 2.61661i) q^{47} +(3.99086 + 0.270288i) q^{48} +(4.94106 - 4.94106i) q^{49} +(-0.992890 + 1.59476i) q^{50} +(-0.229249 - 0.0456005i) q^{51} +(2.29468 - 3.96454i) q^{52} +(2.35939 - 3.53108i) q^{53} +(1.03166 + 0.967306i) q^{54} +(-0.533926 + 1.28901i) q^{55} +(-0.242730 + 0.198542i) q^{56} +(-1.25914 - 3.03983i) q^{57} +(1.72479 + 0.650234i) q^{58} +(12.7010 - 2.52639i) q^{59} +(1.69125 + 3.43893i) q^{60} +(-2.44281 + 1.63223i) q^{61} +(7.61444 + 10.6381i) q^{62} -0.110870 q^{63} +(-6.66621 + 4.42285i) q^{64} +4.38869 q^{65} +(-0.599344 - 0.837344i) q^{66} +(2.08361 - 1.39222i) q^{67} +(0.419495 - 0.206306i) q^{68} +(5.29223 - 1.05269i) q^{69} +(-0.281126 - 0.105983i) q^{70} +(-4.56284 - 11.0157i) q^{71} +(-2.81435 - 0.281823i) q^{72} +(4.20972 - 10.1632i) q^{73} +(10.8199 + 10.1450i) q^{74} +(0.737999 - 1.10449i) q^{75} +(5.69537 + 3.29648i) q^{76} +(0.0791768 + 0.0157492i) q^{77} +(-1.71194 + 2.74969i) q^{78} +(-9.56634 + 9.56634i) q^{79} +(-6.86679 - 3.40490i) q^{80} +(-0.707107 - 0.707107i) q^{81} +(-11.6932 + 2.71976i) q^{82} +(2.32182 - 11.6726i) q^{83} +(0.176064 - 0.134795i) q^{84} +(0.372400 + 0.248830i) q^{85} +(-0.969386 + 0.0312071i) q^{86} +(-1.20418 - 0.498789i) q^{87} +(1.96982 + 0.601046i) q^{88} +(-7.91751 + 3.27954i) q^{89} +(-1.11703 - 2.46891i) q^{90} +(-0.0495397 - 0.249053i) q^{91} +(-7.12436 + 8.10599i) q^{92} +(-5.13940 - 7.69165i) q^{93} +(-5.16286 - 0.855275i) q^{94} +6.30470i q^{95} +(4.81191 - 2.97414i) q^{96} -17.6784i q^{97} +(1.61505 - 9.74924i) q^{98} +(0.404530 + 0.605421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q+O(q^{10}) \) 128 * q	\( 128 q - 16 q^{22} - 80 q^{26} - 80 q^{28} - 80 q^{32} - 80 q^{34} - 80 q^{38} - 80 q^{40} - 16 q^{44} + 48 q^{50} - 32 q^{51} + 48 q^{52} + 16 q^{54} - 64 q^{55} + 112 q^{56} - 128 q^{59} + 96 q^{60} + 96 q^{62} - 32 q^{63} + 96 q^{64} + 96 q^{66} - 32 q^{67} + 96 q^{68} + 96 q^{70} - 128 q^{71} + 112 q^{74} - 64 q^{75} + 16 q^{76} + 48 q^{78} - 32 q^{79} + 48 q^{80} - 80 q^{82} - 80 q^{88} - 96 q^{94}+O(q^{100}) \) 128 * q - 16 * q^22 - 80 * q^26 - 80 * q^28 - 80 * q^32 - 80 * q^34 - 80 * q^38 - 80 * q^40 - 16 * q^44 + 48 * q^50 - 32 * q^51 + 48 * q^52 + 16 * q^54 - 64 * q^55 + 112 * q^56 - 128 * q^59 + 96 * q^60 + 96 * q^62 - 32 * q^63 + 96 * q^64 + 96 * q^66 - 32 * q^67 + 96 * q^68 + 96 * q^70 - 128 * q^71 + 112 * q^74 - 64 * q^75 + 16 * q^76 + 48 * q^78 - 32 * q^79 + 48 * q^80 - 80 * q^82 - 80 * q^88 - 96 * q^94

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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