LMFDB - Embedded newform 130.2.n.a.29.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(9,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 4]))

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

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

chi := DirichletCharacter("130.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.n (of order $6$, degree $2$, 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:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$6$ over $\Q(\zeta_{6})$
Coefficient field:	12.0.89539436150784.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 2x^{11} + 2x^{10} - 8x^{9} + 4x^{8} + 16x^{7} - 8x^{6} + 20x^{5} + 20x^{4} - 24x^{3} + 8x^{2} - 8x + 4 $ x^12 - 2x^11 + 2x^10 - 8x^9 + 4x^8 + 16x^7 - 8x^6 + 20x^5 + 20x^4 - 24x^3 + 8x^2 - 8*x + 4
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 2^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			29.5
Root			$0.312819 + 1.16746i$ of defining polynomial
Character	$\chi$	$=$	130.29
Dual form			130.2.n.a.9.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 - 0.500000i) q^{2} +(0.466951 - 0.269594i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.539189 - 2.17009i) q^{5} +(0.269594 - 0.466951i) q^{6} +(-0.614250 - 0.354638i) q^{7} -1.00000i q^{8} +(-1.35464 + 2.34630i) q^{9} +O(q^{10})$	\(q+(0.866025 - 0.500000i) q^{2} +(0.466951 - 0.269594i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.539189 - 2.17009i) q^{5} +(0.269594 - 0.466951i) q^{6} +(-0.614250 - 0.354638i) q^{7} -1.00000i q^{8} +(-1.35464 + 2.34630i) q^{9} +(-1.55199 - 1.60976i) q^{10} +(2.25513 + 3.90600i) q^{11} -0.539189i q^{12} +(3.35963 + 1.30878i) q^{13} -0.709275 q^{14} +(-0.836818 - 0.867962i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.74538 - 1.58504i) q^{17} +2.70928i q^{18} +(-0.0603191 + 0.104476i) q^{19} +(-2.14894 - 0.618092i) q^{20} -0.382433 q^{21} +(3.90600 + 2.25513i) q^{22} +(-4.30507 + 2.48554i) q^{23} +(-0.269594 - 0.466951i) q^{24} +(-4.41855 + 2.34017i) q^{25} +(3.56391 - 0.546373i) q^{26} +3.07838i q^{27} +(-0.614250 + 0.354638i) q^{28} +(-3.63090 - 6.28890i) q^{29} +(-1.15869 - 0.333268i) q^{30} +9.66701 q^{31} +(-0.866025 - 0.500000i) q^{32} +(2.10607 + 1.21594i) q^{33} -3.17009 q^{34} +(-0.438397 + 1.52419i) q^{35} +(1.35464 + 2.34630i) q^{36} +(-6.02558 + 3.47887i) q^{37} +0.120638i q^{38} +(1.92162 - 0.294598i) q^{39} +(-2.17009 + 0.539189i) q^{40} +(-0.223740 - 0.387529i) q^{41} +(-0.331197 + 0.191217i) q^{42} +(1.73205 + 1.00000i) q^{43} +4.51026 q^{44} +(5.82208 + 1.67458i) q^{45} +(-2.48554 + 4.30507i) q^{46} -4.70928i q^{47} +(-0.466951 - 0.269594i) q^{48} +(-3.24846 - 5.62651i) q^{49} +(-2.65649 + 4.23592i) q^{50} -1.70928 q^{51} +(2.81325 - 2.25513i) q^{52} -9.58864i q^{53} +(1.53919 + 2.66595i) q^{54} +(7.26042 - 6.99990i) q^{55} +(-0.354638 + 0.614250i) q^{56} +0.0650468i q^{57} +(-6.28890 - 3.63090i) q^{58} +(-2.87936 + 4.98720i) q^{59} +(-1.17009 + 0.290725i) q^{60} +(-3.53139 + 6.11655i) q^{61} +(8.37188 - 4.83351i) q^{62} +(1.66417 - 0.960811i) q^{63} -1.00000 q^{64} +(1.02870 - 7.99636i) q^{65} +2.43188 q^{66} +(-2.53020 + 1.46081i) q^{67} +(-2.74538 + 1.58504i) q^{68} +(-1.34017 + 2.32125i) q^{69} +(0.382433 + 1.53919i) q^{70} +(4.09171 - 7.08705i) q^{71} +(2.34630 + 1.35464i) q^{72} -6.74539i q^{73} +(-3.47887 + 6.02558i) q^{74} +(-1.43235 + 2.28396i) q^{75} +(0.0603191 + 0.104476i) q^{76} -3.19902i q^{77} +(1.51687 - 1.21594i) q^{78} +16.0072 q^{79} +(-1.60976 + 1.55199i) q^{80} +(-3.23400 - 5.60145i) q^{81} +(-0.387529 - 0.223740i) q^{82} +0.355771i q^{83} +(-0.191217 + 0.331197i) q^{84} +(-1.95941 + 6.81234i) q^{85} +2.00000 q^{86} +(-3.39090 - 1.95774i) q^{87} +(3.90600 - 2.25513i) q^{88} +(1.81545 + 3.14445i) q^{89} +(5.87936 - 1.46081i) q^{90} +(-1.59951 - 1.99537i) q^{91} +4.97107i q^{92} +(4.51402 - 2.60617i) q^{93} +(-2.35464 - 4.07835i) q^{94} +(0.259245 + 0.0745655i) q^{95} -0.539189 q^{96} +(6.84878 + 3.95415i) q^{97} +(-5.62651 - 3.24846i) q^{98} -12.2195 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{4} - 2 q^{9}+O(q^{10}) $ 12 * q + 6 * q^4 - 2 * q^9	$ 12 q + 6 q^{4} - 2 q^{9} - 2 q^{10} - 6 q^{11} + 20 q^{14} + 4 q^{15} - 6 q^{16} - 26 q^{19} - 24 q^{21} + 4 q^{25} - 28 q^{29} - 16 q^{30} + 24 q^{31} - 16 q^{34} - 6 q^{35} + 2 q^{36} + 36 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{44} + 12 q^{45} - 4 q^{49} - 8 q^{50} + 8 q^{51} + 12 q^{54} + 12 q^{55} + 10 q^{56} + 16 q^{59} + 8 q^{60} - 8 q^{61} - 12 q^{64} - 10 q^{65} - 24 q^{66} + 28 q^{69} + 24 q^{70} + 40 q^{71} - 10 q^{74} - 8 q^{75} + 26 q^{76} + 56 q^{79} + 26 q^{81} - 12 q^{84} - 16 q^{85} + 24 q^{86} + 14 q^{89} + 20 q^{90} - 38 q^{91} - 14 q^{94} - 8 q^{95} - 52 q^{99}+O(q^{100}) $ 12 * q + 6 * q^4 - 2 * q^9 - 2 * q^10 - 6 * q^11 + 20 * q^14 + 4 * q^15 - 6 * q^16 - 26 * q^19 - 24 * q^21 + 4 * q^25 - 28 * q^29 - 16 * q^30 + 24 * q^31 - 16 * q^34 - 6 * q^35 + 2 * q^36 + 36 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^44 + 12 * q^45 - 4 * q^49 - 8 * q^50 + 8 * q^51 + 12 * q^54 + 12 * q^55 + 10 * q^56 + 16 * q^59 + 8 * q^60 - 8 * q^61 - 12 * q^64 - 10 * q^65 - 24 * q^66 + 28 * q^69 + 24 * q^70 + 40 * q^71 - 10 * q^74 - 8 * q^75 + 26 * q^76 + 56 * q^79 + 26 * q^81 - 12 * q^84 - 16 * q^85 + 24 * q^86 + 14 * q^89 + 20 * q^90 - 38 * q^91 - 14 * q^94 - 8 * q^95 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$3$	0.466951	−	0.269594i	0.269594	−	0.155650i	−0.359109	−	0.933296i	$-0.616919\pi$
$3$	0.466951	−	0.269594i	0.269594	−	0.155650i	0.628703	+	0.777645i	$0.283586\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	−0.539189	−	2.17009i	−0.241133	−	0.970492i
$5$	−0.539189	−	2.17009i	−0.241133	−	0.970492i
$6$	0.269594	−	0.466951i	0.110061	−	0.190632i
$7$	−0.614250	−	0.354638i	−0.232165	−	0.134040i	0.379406	−	0.925230i	$-0.376129\pi$
$7$	−0.614250	−	0.354638i	−0.232165	−	0.134040i	−0.611570	+	0.791190i	$0.709462\pi$
$8$		−	1.00000i		−	0.353553i
$9$	−1.35464	+	2.34630i	−0.451546	+	0.782100i
$10$	−1.55199	−	1.60976i	−0.490784	−	0.509049i
$11$	2.25513	+	3.90600i	0.679947	+	1.17770i	0.974996	+	0.222221i	$0.0713306\pi$
$11$	2.25513	+	3.90600i	0.679947	+	1.17770i	−0.295049	+	0.955482i	$0.595336\pi$
$12$		−	0.539189i		−	0.155650i
$13$	3.35963	+	1.30878i	0.931793	+	0.362991i
$13$	3.35963	+	1.30878i	0.931793	+	0.362991i
$14$	−0.709275			−0.189562
$15$	−0.836818	−	0.867962i	−0.216066	−	0.224107i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−2.74538	−	1.58504i	−0.665851	−	0.384429i	0.128652	−	0.991690i	$-0.458935\pi$
$17$	−2.74538	−	1.58504i	−0.665851	−	0.384429i	−0.794503	+	0.607260i	$0.792268\pi$
$18$			2.70928i			0.638582i
$19$	−0.0603191	+	0.104476i	−0.0138381	+	0.0239684i	−0.872862	−	0.487968i	$-0.837738\pi$
$19$	−0.0603191	+	0.104476i	−0.0138381	+	0.0239684i	0.859023	+	0.511936i	$0.171072\pi$
$20$	−2.14894	−	0.618092i	−0.480519	−	0.138210i
$21$	−0.382433			−0.0834538
$22$	3.90600	+	2.25513i	0.832762	+	0.480795i
$23$	−4.30507	+	2.48554i	−0.897670	+	0.518270i	−0.876443	−	0.481505i	$-0.840090\pi$
$23$	−4.30507	+	2.48554i	−0.897670	+	0.518270i	−0.0212264	+	0.999775i	$0.506757\pi$
$24$	−0.269594	−	0.466951i	−0.0550307	−	0.0953160i
$25$	−4.41855	+	2.34017i	−0.883710	+	0.468035i
$26$	3.56391	−	0.546373i	0.698941	−	0.107153i
$27$			3.07838i			0.592434i
$28$	−0.614250	+	0.354638i	−0.116082	+	0.0670202i
$29$	−3.63090	−	6.28890i	−0.674241	−	1.16782i	−0.976690	−	0.214654i	$-0.931138\pi$
$29$	−3.63090	−	6.28890i	−0.674241	−	1.16782i	0.302449	−	0.953165i	$-0.402196\pi$
$30$	−1.15869	−	0.333268i	−0.211546	−	0.0608462i
$31$	9.66701			1.73625			0.868124	−	0.496348i	$-0.165326\pi$
$31$	9.66701			1.73625			0.868124	+	0.496348i	$0.165326\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	2.10607	+	1.21594i	0.366620	+	0.211668i
$34$	−3.17009			−0.543665
$35$	−0.438397	+	1.52419i	−0.0741027	+	0.257636i
$36$	1.35464	+	2.34630i	0.225773	+	0.391050i
$37$	−6.02558	+	3.47887i	−0.990599	+	0.571923i	−0.905453	−	0.424446i	$-0.860469\pi$
$37$	−6.02558	+	3.47887i	−0.990599	+	0.571923i	−0.0851458	+	0.996369i	$0.527136\pi$
$38$			0.120638i			0.0195701i
$39$	1.92162	−	0.294598i	0.307706	−	0.0471735i
$40$	−2.17009	+	0.539189i	−0.343121	+	0.0852532i
$41$	−0.223740	−	0.387529i	−0.0349423	−	0.0605219i	0.848025	−	0.529956i	$-0.177791\pi$
$41$	−0.223740	−	0.387529i	−0.0349423	−	0.0605219i	−0.882968	+	0.469434i	$0.844458\pi$
$42$	−0.331197	+	0.191217i	−0.0511048	+	0.0295054i
$43$	1.73205	+	1.00000i	0.264135	+	0.152499i	0.626219	−	0.779647i	$-0.284601\pi$
$43$	1.73205	+	1.00000i	0.264135	+	0.152499i	−0.362084	+	0.932145i	$0.617935\pi$
$44$	4.51026			0.679947
$45$	5.82208	+	1.67458i	0.867905	+	0.249632i
$46$	−2.48554	+	4.30507i	−0.366472	+	0.634748i
$47$		−	4.70928i		−	0.686918i	−0.939168	−	0.343459i	$-0.888401\pi$
$47$		−	4.70928i		−	0.686918i	0.939168	−	0.343459i	$-0.111599\pi$
$48$	−0.466951	−	0.269594i	−0.0673986	−	0.0389126i
$49$	−3.24846	−	5.62651i	−0.464066	−	0.803786i
$50$	−2.65649	+	4.23592i	−0.375685	+	0.599050i
$51$	−1.70928			−0.239346
$52$	2.81325	−	2.25513i	0.390128	−	0.312730i
$53$		−	9.58864i		−	1.31710i	−0.752537	−	0.658550i	$-0.771170\pi$
$53$		−	9.58864i		−	1.31710i	0.752537	−	0.658550i	$-0.228830\pi$
$54$	1.53919	+	2.66595i	0.209457	+	0.362790i
$55$	7.26042	−	6.99990i	0.978994	−	0.943866i
$56$	−0.354638	+	0.614250i	−0.0473905	+	0.0820827i
$57$			0.0650468i			0.00861565i
$58$	−6.28890	−	3.63090i	−0.825773	−	0.476760i
$59$	−2.87936	+	4.98720i	−0.374861	+	0.649278i	−0.990306	−	0.138901i	$-0.955643\pi$
$59$	−2.87936	+	4.98720i	−0.374861	+	0.649278i	0.615445	+	0.788180i	$0.288976\pi$
$60$	−1.17009	+	0.290725i	−0.151058	+	0.0375324i
$61$	−3.53139	+	6.11655i	−0.452148	+	0.783144i	−0.998519	−	0.0543997i	$-0.982675\pi$
$61$	−3.53139	+	6.11655i	−0.452148	+	0.783144i	0.546371	+	0.837543i	$0.316009\pi$
$62$	8.37188	−	4.83351i	1.06323	−	0.613856i
$63$	1.66417	−	0.960811i	0.209666	−	0.121051i
$64$	−1.00000			−0.125000
$65$	1.02870	−	7.99636i	0.127595	−	0.991826i
$66$	2.43188			0.299344
$67$	−2.53020	+	1.46081i	−0.309113	+	0.178466i	−0.646530	−	0.762889i	$-0.723780\pi$
$67$	−2.53020	+	1.46081i	−0.309113	+	0.178466i	0.337416	+	0.941355i	$0.390447\pi$
$68$	−2.74538	+	1.58504i	−0.332926	+	0.192215i
$69$	−1.34017	+	2.32125i	−0.161338	+	0.279445i
$70$	0.382433	+	1.53919i	0.0457095	+	0.183968i
$71$	4.09171	−	7.08705i	0.485596	−	0.841078i	−0.514267	−	0.857630i	$-0.671936\pi$
$71$	4.09171	−	7.08705i	0.485596	−	0.841078i	0.999863	+	0.0165526i	$0.00526911\pi$
$72$	2.34630	+	1.35464i	0.276514	+	0.159646i
$73$		−	6.74539i		−	0.789488i	−0.918791	−	0.394744i	$-0.870833\pi$
$73$		−	6.74539i		−	0.789488i	0.918791	−	0.394744i	$-0.129167\pi$
$74$	−3.47887	+	6.02558i	−0.404410	+	0.700459i
$75$	−1.43235	+	2.28396i	−0.165394	+	0.263729i
$76$	0.0603191	+	0.104476i	0.00691907	+	0.0119842i
$77$		−	3.19902i		−	0.364562i
$78$	1.51687	−	1.21594i	0.171752	−	0.137678i
$79$	16.0072			1.80095			0.900475	−	0.434908i	$-0.143219\pi$
$79$	16.0072			1.80095			0.900475	+	0.434908i	$0.143219\pi$
$80$	−1.60976	+	1.55199i	−0.179976	+	0.173518i
$81$	−3.23400	−	5.60145i	−0.359333	−	0.622383i
$82$	−0.387529	−	0.223740i	−0.0427954	−	0.0247080i
$83$			0.355771i			0.0390510i	0.999809	+	0.0195255i	$0.00621555\pi$
$83$			0.355771i			0.0390510i	−0.999809	+	0.0195255i	$0.993784\pi$
$84$	−0.191217	+	0.331197i	−0.0208635	+	0.0361366i
$85$	−1.95941	+	6.81234i	−0.212527	+	0.738902i
$86$	2.00000			0.215666
$87$	−3.39090	−	1.95774i	−0.363543	−	0.209892i
$88$	3.90600	−	2.25513i	0.416381	−	0.240398i
$89$	1.81545	+	3.14445i	0.192437	+	0.333311i	0.946057	−	0.323999i	$-0.105027\pi$
$89$	1.81545	+	3.14445i	0.192437	+	0.333311i	−0.753620	+	0.657310i	$0.771694\pi$
$90$	5.87936	−	1.46081i	0.619739	−	0.153983i
$91$	−1.59951	−	1.99537i	−0.167674	−	0.209172i
$92$			4.97107i			0.518270i
$93$	4.51402	−	2.60617i	0.468083	−	0.270248i
$94$	−2.35464	−	4.07835i	−0.242862	−	0.420650i
$95$	0.259245	+	0.0745655i	0.0265979	+	0.00765026i
$96$	−0.539189			−0.0550307
$97$	6.84878	+	3.95415i	0.695388	+	0.401483i	0.805627	−	0.592422i	$-0.201828\pi$
$97$	6.84878	+	3.95415i	0.695388	+	0.401483i	−0.110239	+	0.993905i	$0.535162\pi$
$98$	−5.62651	−	3.24846i	−0.568363	−	0.328144i
$99$	−12.2195			−1.22811
$100$	−0.182626	+	4.99666i	−0.0182626	+	0.499666i
$101$	−3.07058	−	5.31840i	−0.305534	−	0.529200i	0.671846	−	0.740691i	$-0.265502\pi$
$101$	−3.07058	−	5.31840i	−0.305534	−	0.529200i	−0.977380	+	0.211490i	$0.932168\pi$
$102$	−1.48028	+	0.854638i	−0.146569	+	0.0846217i
$103$			17.6803i			1.74210i	0.491198	+	0.871048i	$0.336559\pi$
$103$			17.6803i			1.74210i	−0.491198	+	0.871048i	$0.663441\pi$
$104$	1.30878	−	3.35963i	0.128337	−	0.329438i
$105$	0.206204	+	0.829914i	0.0201234	+	0.0809913i
$106$	−4.79432	−	8.30400i	−0.465665	−	0.806556i
$107$	0.466951	−	0.269594i	0.0451419	−	0.0260627i	−0.477259	−	0.878763i	$-0.658370\pi$
$107$	0.466951	−	0.269594i	0.0451419	−	0.0260627i	0.522401	+	0.852700i	$0.325036\pi$
$108$	2.66595	+	1.53919i	0.256531	+	0.148109i
$109$	11.0205			1.05557			0.527787	−	0.849377i	$-0.323022\pi$
$109$	11.0205			1.05557			0.527787	+	0.849377i	$0.323022\pi$
$110$	2.78776	−	9.69230i	0.265802	−	0.924124i
$111$	−1.87577	+	3.24893i	−0.178040	+	0.308374i
$112$			0.709275i			0.0670202i
$113$	−12.1244	−	7.00000i	−1.14056	−	0.658505i	−0.193993	−	0.981003i	$-0.562144\pi$
$113$	−12.1244	−	7.00000i	−1.14056	−	0.658505i	−0.946570	+	0.322498i	$0.895477\pi$
$114$	0.0325234	+	0.0563321i	0.00304609	+	0.00527599i
$115$	7.71507	+	8.00221i	0.719434	+	0.746210i
$116$	−7.26180			−0.674241
$117$	−7.62188	+	6.10977i	−0.704643	+	0.564848i
$118$			5.75872i			0.530133i
$119$	1.12423	+	1.94723i	0.103058	+	0.178502i
$120$	−0.867962	+	0.836818i	−0.0792338	+	0.0763907i
$121$	−4.67122	+	8.09079i	−0.424656	+	0.735526i
$122$			7.06278i			0.639434i
$123$	−0.208951	−	0.120638i	−0.0188405	−	0.0108776i
$124$	4.83351	−	8.37188i	0.434062	−	0.751817i
$125$	7.46081	+	8.32684i	0.667315	+	0.744775i
$126$	0.960811	−	1.66417i	0.0855959	−	0.148256i
$127$	−10.5458	+	6.08864i	−0.935791	+	0.540279i	−0.888638	−	0.458609i	$-0.848348\pi$
$127$	−10.5458	+	6.08864i	−0.935791	+	0.540279i	−0.0471526	+	0.998888i	$0.515015\pi$
$128$	−0.866025	+	0.500000i	−0.0765466	+	0.0441942i
$129$	1.07838			0.0949459
$130$	−3.10730	−	7.43940i	−0.272528	−	0.652479i
$131$	−17.4547			−1.52502			−0.762511	−	0.646976i	$-0.776034\pi$
$131$	−17.4547			−1.52502			−0.762511	+	0.646976i	$0.776034\pi$
$132$	2.10607	−	1.21594i	0.183310	−	0.105834i
$133$	0.0741020	−	0.0427828i	0.00642546	−	0.00370974i
$134$	−1.46081	+	2.53020i	−0.126195	+	0.218576i
$135$	6.68035	−	1.65983i	0.574953	−	0.142855i
$136$	−1.58504	+	2.74538i	−0.135916	+	0.235414i
$137$	8.10037	+	4.67675i	0.692061	+	0.399562i	0.804384	−	0.594110i	$-0.202496\pi$
$137$	8.10037	+	4.67675i	0.692061	+	0.399562i	−0.112322	+	0.993672i	$0.535829\pi$
$138$			2.68035i			0.228166i
$139$	−1.32211	+	2.28997i	−0.112140	+	0.194233i	−0.916633	−	0.399730i	$-0.869104\pi$
$139$	−1.32211	+	2.28997i	−0.112140	+	0.194233i	0.804493	+	0.593963i	$0.202437\pi$
$140$	1.10079	+	1.14176i	0.0930339	+	0.0964963i
$141$	−1.26959	−	2.19900i	−0.106919	−	0.185189i
$142$		−	8.18342i		−	0.686737i
$143$	2.46429	+	16.0742i	0.206074	+	1.34419i
$144$	2.70928			0.225773
$145$	−11.6897	+	11.2703i	−0.970778	+	0.935945i
$146$	−3.37270	−	5.84168i	−0.279126	−	0.483461i
$147$	−3.03375	−	1.75154i	−0.250219	−	0.144464i
$148$			6.95774i			0.571923i
$149$	−4.61757	+	7.99786i	−0.378286	+	0.655210i	−0.990813	−	0.135239i	$-0.956820\pi$
$149$	−4.61757	+	7.99786i	−0.378286	+	0.655210i	0.612527	+	0.790450i	$0.290153\pi$
$150$	−0.0984700	+	2.69415i	−0.00804004	+	0.219976i
$151$	−9.42574			−0.767056			−0.383528	−	0.923529i	$-0.625291\pi$
$151$	−9.42574			−0.767056			−0.383528	+	0.923529i	$0.625291\pi$
$152$	0.104476	+	0.0603191i	0.00847410	+	0.00489252i
$153$	7.43798	−	4.29432i	0.601325	−	0.347175i
$154$	−1.59951	−	2.77043i	−0.128892	−	0.223248i
$155$	−5.21235	−	20.9783i	−0.418666	−	1.68501i
$156$	0.705681	−	1.81147i	0.0564997	−	0.145034i
$157$		−	5.77205i		−	0.460660i	−0.973113	−	0.230330i	$-0.926019\pi$
$157$		−	5.77205i		−	0.460660i	0.973113	−	0.230330i	$-0.0739806\pi$
$158$	13.8626	−	8.00359i	1.10285	−	0.636732i
$159$	−2.58504	−	4.47743i	−0.205007	−	0.355083i
$160$	−0.618092	+	2.14894i	−0.0488645	+	0.169889i
$161$	3.52586			0.277877
$162$	−5.60145	−	3.23400i	−0.440092	−	0.254087i
$163$	−14.5678	−	8.41075i	−1.14104	−	0.658781i	−0.194354	−	0.980932i	$-0.562261\pi$
$163$	−14.5678	−	8.41075i	−1.14104	−	0.658781i	−0.946688	+	0.322151i	$0.895594\pi$
$164$	−0.447480			−0.0349423
$165$	1.50313	−	5.22598i	0.117018	−	0.406842i
$166$	0.177886	+	0.308107i	0.0138066	+	0.0239137i
$167$	15.6919	−	9.05971i	1.21427	−	0.701061i	0.250586	−	0.968094i	$-0.419377\pi$
$167$	15.6919	−	9.05971i	1.21427	−	0.701061i	0.963687	+	0.267033i	$0.0860433\pi$
$168$			0.382433i			0.0295054i
$169$	9.57417	+	8.79404i	0.736475	+	0.676465i
$170$	1.70928	+	6.87936i	0.131095	+	0.527623i
$171$	−0.163421	−	0.283053i	−0.0124971	−	0.0216456i
$172$	1.73205	−	1.00000i	0.132068	−	0.0762493i
$173$	8.92357	+	5.15203i	0.678447	+	0.391701i	0.799270	−	0.600973i	$-0.205220\pi$
$173$	8.92357	+	5.15203i	0.678447	+	0.391701i	−0.120823	+	0.992674i	$0.538553\pi$
$174$	−3.91548			−0.296832
$175$	3.54401	+	0.129532i	0.267902	+	0.00979171i
$176$	2.25513	−	3.90600i	0.169987	−	0.294426i
$177$			3.10504i			0.233389i
$178$	3.14445	+	1.81545i	0.235686	+	0.136074i
$179$	0.630898	+	1.09275i	0.0471555	+	0.0816757i	0.888640	−	0.458606i	$-0.151651\pi$
$179$	0.630898	+	1.09275i	0.0471555	+	0.0816757i	−0.841484	+	0.540282i	$0.818318\pi$
$180$	4.36127	−	4.20478i	0.325070	−	0.313406i
$181$	2.38243			0.177085			0.0885424	−	0.996072i	$-0.471779\pi$
$181$	2.38243			0.177085			0.0885424	+	0.996072i	$0.471779\pi$
$182$	−2.38290	−	0.928288i	−0.176632	−	0.0688093i
$183$			3.80817i			0.281508i
$184$	2.48554	+	4.30507i	0.183236	+	0.317374i
$185$	10.7984	+	11.2003i	0.793912	+	0.823460i
$186$	2.60617	−	4.51402i	0.191094	−	0.330984i
$187$		−	14.2979i		−	1.04557i
$188$	−4.07835	−	2.35464i	−0.297444	−	0.171730i
$189$	1.09171	−	1.89090i	0.0794101	−	0.137542i
$190$	0.261795	−	0.0650468i	0.0189926	−	0.00471899i
$191$	5.54278	−	9.60038i	0.401062	−	0.694659i	−0.592793	−	0.805355i	$-0.701975\pi$
$191$	5.54278	−	9.60038i	0.401062	−	0.694659i	0.993854	+	0.110696i	$0.0353080\pi$
$192$	−0.466951	+	0.269594i	−0.0336993	+	0.0194563i
$193$	12.1244	−	7.00000i	0.872730	−	0.503871i	0.00447566	−	0.999990i	$-0.498575\pi$
$193$	12.1244	−	7.00000i	0.872730	−	0.503871i	0.868255	+	0.496119i	$0.165242\pi$
$194$	7.90829			0.567782
$195$	−1.67542	−	4.01124i	−0.119979	−	0.287251i
$196$	−6.49693			−0.464066
$197$	−7.52895	+	4.34684i	−0.536415	+	0.309699i	−0.743625	−	0.668597i	$-0.766895\pi$
$197$	−7.52895	+	4.34684i	−0.536415	+	0.309699i	0.207210	+	0.978297i	$0.433562\pi$
$198$	−10.5824	+	6.10977i	−0.752060	+	0.434202i
$199$	10.7587	−	18.6347i	0.762666	−	1.32098i	−0.178806	−	0.983884i	$-0.557224\pi$
$199$	10.7587	−	18.6347i	0.762666	−	1.32098i	0.941472	−	0.337091i	$-0.109443\pi$
$200$	2.34017	+	4.41855i	0.165475	+	0.312439i
$201$	−0.787653	+	1.36426i	−0.0555568	+	0.0962271i
$202$	−5.31840	−	3.07058i	−0.374201	−	0.216045i
$203$			5.15061i			0.361502i
$204$	−0.854638	+	1.48028i	−0.0598366	+	0.103640i
$205$	−0.720334	+	0.694487i	−0.0503103	+	0.0485051i
$206$	8.84017	+	15.3116i	0.615924	+	1.06681i
$207$		−	13.4680i		−	0.936091i
$208$	−0.546373	−	3.56391i	−0.0378842	−	0.247113i
$209$	−0.544109			−0.0376368
$210$	0.593535	+	0.615624i	0.0409578	+	0.0424821i
$211$	2.79432	+	4.83990i	0.192369	+	0.333193i	0.946035	−	0.324065i	$-0.105050\pi$
$211$	2.79432	+	4.83990i	0.192369	+	0.333193i	−0.753666	+	0.657258i	$0.771716\pi$
$212$	−8.30400	−	4.79432i	−0.570321	−	0.329275i
$213$		−	4.41241i		−	0.302333i
$214$	0.269594	−	0.466951i	0.0184291	−	0.0319201i
$215$	1.23618	−	4.29789i	0.0843070	−	0.293114i
$216$	3.07838			0.209457
$217$	−5.93797	−	3.42829i	−0.403096	−	0.232727i
$218$	9.54405	−	5.51026i	0.646405	−	0.373202i
$219$	−1.81852	−	3.14977i	−0.122884	−	0.212842i
$220$	−2.43188	−	9.78765i	−0.163957	−	0.659883i
$221$	−7.14896	−	8.91825i	−0.480891	−	0.599907i
$222$			3.75154i			0.251787i
$223$	21.3989	−	12.3546i	1.43297	−	0.827328i	0.435627	−	0.900127i	$-0.356527\pi$
$223$	21.3989	−	12.3546i	1.43297	−	0.827328i	0.997347	+	0.0727995i	$0.0231933\pi$
$224$	0.354638	+	0.614250i	0.0236952	+	0.0410413i
$225$	0.494784	−	13.5373i	0.0329856	−	0.902489i
$226$	−14.0000			−0.931266
$227$	24.8504	+	14.3474i	1.64938	+	0.952268i	0.977320	+	0.211768i	$0.0679220\pi$
$227$	24.8504	+	14.3474i	1.64938	+	0.952268i	0.672056	+	0.740500i	$0.265411\pi$
$228$	0.0563321	+	0.0325234i	0.00373069	+	0.00215391i
$229$	1.89988			0.125548			0.0627738	−	0.998028i	$-0.480005\pi$
$229$	1.89988			0.125548			0.0627738	+	0.998028i	$0.480005\pi$
$230$	10.6826	+	3.07258i	0.704387	+	0.202600i
$231$	−0.862437	−	1.49378i	−0.0567442	−	0.0982838i
$232$	−6.28890	+	3.63090i	−0.412886	+	0.238380i
$233$			22.2485i			1.45755i	0.684756	+	0.728773i	$0.259909\pi$
$233$			22.2485i			1.45755i	−0.684756	+	0.728773i	$0.740091\pi$
$234$	−3.54585	+	9.10215i	−0.231800	+	0.595026i
$235$	−10.2195	+	2.53919i	−0.666649	+	0.165638i
$236$	2.87936	+	4.98720i	0.187430	+	0.324639i
$237$	7.47458	−	4.31545i	0.485526	−	0.280319i
$238$	1.94723	+	1.12423i	0.126220	+	0.0728731i
$239$	−24.8710			−1.60877			−0.804384	−	0.594110i	$-0.797505\pi$
$239$	−24.8710			−1.60877			−0.804384	+	0.594110i	$0.797505\pi$
$240$	−0.333268	+	1.15869i	−0.0215124	+	0.0747929i
$241$	1.47528	−	2.55525i	0.0950309	−	0.164598i	−0.814591	−	0.580036i	$-0.803038\pi$
$241$	1.47528	−	2.55525i	0.0950309	−	0.164598i	0.909621	+	0.415438i	$0.136372\pi$
$242$			9.34244i			0.600555i
$243$	−11.0181	−	6.36130i	−0.706811	−	0.408078i
$244$	3.53139	+	6.11655i	0.226074	+	0.391572i
$245$	−10.4585	+	10.0832i	−0.668167	+	0.644192i
$246$	−0.241276			−0.0153832
$247$	−0.339386	+	0.272055i	−0.0215946	+	0.0173104i
$248$		−	9.66701i		−	0.613856i
$249$	0.0959140	+	0.166128i	0.00607830	+	0.0105279i
$250$	10.6247	+	3.48085i	0.671963	+	0.220148i
$251$	−8.27985	+	14.3411i	−0.522620	+	0.905204i	0.477034	+	0.878885i	$0.341712\pi$
$251$	−8.27985	+	14.3411i	−0.522620	+	0.905204i	−0.999654	+	0.0263190i	$0.991621\pi$
$252$		−	1.92162i		−	0.121051i
$253$	−19.4170	−	11.2104i	−1.22074	−	0.704792i
$254$	−6.08864	+	10.5458i	−0.382035	+	0.661704i
$255$	0.921622	+	3.70928i	0.0577142	+	0.232284i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	0.453443	−	0.261795i	0.0282850	−	0.0163303i	−0.485791	−	0.874075i	$-0.661468\pi$
$257$	0.453443	−	0.261795i	0.0282850	−	0.0163303i	0.514076	+	0.857745i	$0.328135\pi$
$258$	0.933903	−	0.539189i	0.0581422	−	0.0335684i
$259$	4.93495			0.306643
$260$	−6.41070	−	4.88906i	−0.397575	−	0.303207i
$261$	19.6742			1.21780
$262$	−15.1162	+	8.72733i	−0.933881	+	0.539176i
$263$	−24.9255	+	14.3908i	−1.53697	+	0.887372i	−0.537960	+	0.842971i	$0.680805\pi$
$263$	−24.9255	+	14.3908i	−1.53697	+	0.887372i	−0.999014	+	0.0444013i	$0.985862\pi$
$264$	1.21594	−	2.10607i	0.0748360	−	0.129620i
$265$	−20.8082	+	5.17009i	−1.27824	+	0.317596i
$266$	0.0427828	−	0.0741020i	0.00262318	−	0.00454349i
$267$	1.69545	+	0.978870i	0.103760	+	0.0599059i
$268$			2.92162i			0.178466i
$269$	5.02832	−	8.70930i	0.306582	−	0.531016i	−0.671030	−	0.741430i	$-0.734148\pi$
$269$	5.02832	−	8.70930i	0.306582	−	0.531016i	0.977612	+	0.210414i	$0.0674813\pi$
$270$	4.95544	−	4.77763i	0.301578	−	0.290757i
$271$	−9.06278	−	15.6972i	−0.550525	−	0.953537i	−0.998237	−	0.0593589i	$-0.981094\pi$
$271$	−9.06278	−	15.6972i	−0.550525	−	0.953537i	0.447712	−	0.894178i	$-0.352239\pi$
$272$			3.17009i			0.192215i
$273$	−1.28483	−	0.500522i	−0.0777616	−	0.0302930i
$274$	9.35350			0.565066
$275$	−19.1051	−	11.9815i	−1.15208	−	0.722509i
$276$	1.34017	+	2.32125i	0.0806689	+	0.139723i
$277$	21.4051	+	12.3582i	1.28611	+	0.742534i	0.977958	−	0.208804i	$-0.0669570\pi$
$277$	21.4051	+	12.3582i	1.28611	+	0.742534i	0.308149	+	0.951338i	$0.400290\pi$
$278$			2.64423i			0.158590i
$279$	−13.0953	+	22.6817i	−0.783995	+	1.35792i
$280$	1.52419	+	0.438397i	0.0910880	+	0.0261993i
$281$	22.9854			1.37120			0.685598	−	0.727980i	$-0.259541\pi$
$281$	22.9854			1.37120			0.685598	+	0.727980i	$0.259541\pi$
$282$	−2.19900	−	1.26959i	−0.130949	−	0.0756032i
$283$	−15.6741	+	9.04945i	−0.931729	+	0.537934i	−0.887358	−	0.461081i	$-0.847462\pi$
$283$	−15.6741	+	9.04945i	−0.931729	+	0.537934i	−0.0443709	+	0.999015i	$0.514128\pi$
$284$	−4.09171	−	7.08705i	−0.242798	−	0.420539i
$285$	0.141157	−	0.0350725i	0.00836142	−	0.00207751i
$286$	10.1712	+	12.6885i	0.601437	+	0.750287i
$287$			0.317387i			0.0187347i
$288$	2.34630	−	1.35464i	0.138257	−	0.0798228i
$289$	−3.47528	−	6.01935i	−0.204428	−	0.354080i
$290$	−4.48846	+	15.6052i	−0.263571	+	0.916369i
$291$	4.26406			0.249964
$292$	−5.84168	−	3.37270i	−0.341859	−	0.197372i
$293$	15.4536	+	8.92214i	0.902809	+	0.521237i	0.878111	−	0.478458i	$-0.158804\pi$
$293$	15.4536	+	8.92214i	0.902809	+	0.521237i	0.0246988	+	0.999695i	$0.492137\pi$
$294$	−3.50307			−0.204303
$295$	12.3752	+	3.55942i	0.720511	+	0.207237i
$296$	3.47887	+	6.02558i	0.202205	+	0.350230i
$297$	−12.0241	+	6.94214i	−0.697711	+	0.402824i
$298$			9.23513i			0.534977i
$299$	−17.7165	+	2.71606i	−1.02457	+	0.157074i
$300$	1.26180	+	2.38243i	0.0728498	+	0.137550i
$301$	−0.709275	−	1.22850i	−0.0408820	−	0.0708096i
$302$	−8.16293	+	4.71287i	−0.469724	+	0.271195i
$303$	−2.86762	−	1.65562i	−0.164741	−	0.0951130i
$304$	0.120638			0.00691907
$305$	15.1775	+	4.36545i	0.869062	+	0.249965i
$306$	4.29432	−	7.43798i	0.245490	−	0.425201i
$307$			3.44521i			0.196629i	0.995155	+	0.0983143i	$0.0313451\pi$
$307$			3.44521i			0.196629i	−0.995155	+	0.0983143i	$0.968655\pi$
$308$	−2.77043	−	1.59951i	−0.157860	−	0.0911404i
$309$	4.76652	+	8.25586i	0.271158	+	0.469659i
$310$	−15.0032	−	15.5615i	−0.852122	−	0.883836i
$311$	17.8238			1.01069			0.505347	−	0.862916i	$-0.331365\pi$
$311$	17.8238			1.01069			0.505347	+	0.862916i	$0.331365\pi$
$312$	−0.294598	−	1.92162i	−0.0166784	−	0.108790i
$313$		−	32.2245i		−	1.82143i	−0.413031	−	0.910717i	$-0.635530\pi$
$313$		−	32.2245i		−	1.82143i	0.413031	−	0.910717i	$-0.364470\pi$
$314$	−2.88603	−	4.99875i	−0.162868	−	0.282096i
$315$	−2.98235	−	3.09334i	−0.168036	−	0.174290i
$316$	8.00359	−	13.8626i	0.450237	−	0.779834i
$317$			1.90602i			0.107053i	0.998566	+	0.0535265i	$0.0170462\pi$
$317$			1.90602i			0.107053i	−0.998566	+	0.0535265i	$0.982954\pi$
$318$	−4.47743	−	2.58504i	−0.251082	−	0.144962i
$319$	16.3763	−	28.3646i	0.916896	−	1.58811i
$320$	0.539189	+	2.17009i	0.0301416	+	0.121312i
$321$	0.145362	−	0.251775i	0.00811333	−	0.0140527i
$322$	3.05348	−	1.76293i	0.170164	−	0.0982442i
$323$	0.331197	−	0.191217i	0.0184283	−	0.0106396i
$324$	−6.46800			−0.359333
$325$	−17.9075	+	2.07918i	−0.993327	+	0.115332i
$326$	−16.8215			−0.931657
$327$	5.14605	−	2.97107i	0.284577	−	0.164301i
$328$	−0.387529	+	0.223740i	−0.0213977	+	0.0123540i
$329$	−1.67009	+	2.89267i	−0.0920748	+	0.159478i
$330$	−1.31124	−	5.27739i	−0.0721816	−	0.290511i
$331$	0.355771	−	0.616214i	0.0195550	−	0.0338702i	−0.856082	−	0.516839i	$-0.827108\pi$
$331$	0.355771	−	0.616214i	0.0195550	−	0.0338702i	0.875637	+	0.482969i	$0.160442\pi$
$332$	0.308107	+	0.177886i	0.0169096	+	0.00976275i
$333$		−	18.8504i		−	1.03300i
$334$	9.05971	−	15.6919i	0.495725	−	0.858621i
$335$	4.53434	+	4.70310i	0.247738	+	0.256958i
$336$	0.191217	+	0.331197i	0.0104317	+	0.0180683i
$337$			9.85043i			0.536587i	0.963337	+	0.268294i	$0.0864597\pi$
$337$			9.85043i			0.536587i	−0.963337	+	0.268294i	$0.913540\pi$
$338$	12.6885	+	2.82878i	0.690163	+	0.153865i
$339$	−7.54864			−0.409986
$340$	4.91996	+	5.10306i	0.266822	+	0.276753i
$341$	21.8004	+	37.7594i	1.18056	+	2.04478i
$342$	−0.283053	−	0.163421i	−0.0153058	−	0.00883680i
$343$			9.57304i			0.516896i
$344$	1.00000	−	1.73205i	0.0539164	−	0.0933859i
$345$	5.75991	+	1.65670i	0.310103	+	0.0891937i
$346$	10.3041			0.553949
$347$	22.1123	+	12.7665i	1.18705	+	0.685343i	0.957635	−	0.287986i	$-0.0929857\pi$
$347$	22.1123	+	12.7665i	1.18705	+	0.685343i	0.229414	+	0.973329i	$0.426319\pi$
$348$	−3.39090	+	1.95774i	−0.181772	+	0.104946i
$349$	−9.02832	−	15.6375i	−0.483275	−	0.837056i	0.516541	−	0.856263i	$-0.327219\pi$
$349$	−9.02832	−	15.6375i	−0.483275	−	0.837056i	−0.999816	+	0.0192061i	$0.993886\pi$
$350$	3.13397	−	1.65983i	0.167518	−	0.0887215i
$351$	−4.02893	+	10.3422i	−0.215048	+	0.552026i
$352$		−	4.51026i		−	0.240398i
$353$	12.6842	−	7.32325i	0.675114	−	0.389777i	−0.122898	−	0.992419i	$-0.539219\pi$
$353$	12.6842	−	7.32325i	0.675114	−	0.389777i	0.798012	+	0.602642i	$0.205885\pi$
$354$	1.55252	+	2.68904i	0.0825155	+	0.142921i
$355$	−17.5857	−	5.05810i	−0.933353	−	0.268456i
$356$	3.63090			0.192437
$357$	1.04992	+	0.606173i	0.0555678	+	0.0320821i
$358$	1.09275	+	0.630898i	0.0577535	+	0.0333440i
$359$	13.4186			0.708204			0.354102	−	0.935207i	$-0.384787\pi$
$359$	13.4186			0.708204			0.354102	+	0.935207i	$0.384787\pi$
$360$	1.67458	−	5.82208i	0.0882582	−	0.306851i
$361$	9.49272	+	16.4419i	0.499617	+	0.865362i
$362$	2.06325	−	1.19122i	0.108442	−	0.0626090i
$363$			5.03734i			0.264392i
$364$	−2.52780	+	0.387529i	−0.132492	+	0.0203120i
$365$	−14.6381	+	3.63704i	−0.766192	+	0.190371i
$366$	1.90409	+	3.29797i	0.0995282	+	0.172388i
$367$	18.6577	−	10.7721i	0.973926	−	0.562297i	0.0734954	−	0.997296i	$-0.476585\pi$
$367$	18.6577	−	10.7721i	0.973926	−	0.562297i	0.900431	+	0.434999i	$0.143251\pi$
$368$	4.30507	+	2.48554i	0.224417	+	0.129567i
$369$	1.21235			0.0631123
$370$	14.9518	+	4.30052i	0.777307	+	0.223574i
$371$	−3.40049	+	5.88983i	−0.176545	+	0.305784i
$372$		−	5.21235i		−	0.270248i
$373$	−18.4758	−	10.6670i	−0.956641	−	0.552317i	−0.0615036	−	0.998107i	$-0.519590\pi$
$373$	−18.4758	−	10.6670i	−0.956641	−	0.552317i	−0.895138	+	0.445790i	$0.852923\pi$
$374$	−7.14896	−	12.3824i	−0.369664	−	0.640276i
$375$	5.72871	+	1.87684i	0.295829	+	0.0969194i
$376$	−4.70928			−0.242862
$377$	−3.96765	−	25.8804i	−0.204344	−	1.33291i
$378$		−	2.18342i		−	0.112303i
$379$	4.05611	+	7.02540i	0.208349	+	0.360870i	0.951194	−	0.308592i	$-0.0998578\pi$
$379$	4.05611	+	7.02540i	0.208349	+	0.360870i	−0.742846	+	0.669462i	$0.766524\pi$
$380$	0.194198	−	0.187230i	0.00996214	−	0.00960468i
$381$	−3.28293	+	5.68619i	−0.168189	+	0.291313i
$382$		−	11.0856i		−	0.567187i
$383$	−21.5986	−	12.4699i	−1.10364	−	0.637184i	−0.166462	−	0.986048i	$-0.553234\pi$
$383$	−21.5986	−	12.4699i	−1.10364	−	0.637184i	−0.937173	+	0.348864i	$0.886568\pi$
$384$	−0.269594	+	0.466951i	−0.0137577	+	0.0238290i
$385$	−6.94214	+	1.72487i	−0.353804	+	0.0879077i
$386$	7.00000	−	12.1244i	0.356291	−	0.617113i
$387$	−4.69260	+	2.70928i	−0.238538	+	0.137720i
$388$	6.84878	−	3.95415i	0.347694	−	0.200741i
$389$	−13.5330			−0.686153			−0.343076	−	0.939308i	$-0.611469\pi$
$389$	−13.5330			−0.686153			−0.343076	+	0.939308i	$0.611469\pi$
$390$	−3.45658	−	2.63613i	−0.175031	−	0.133485i
$391$	15.7587			0.796953
$392$	−5.62651	+	3.24846i	−0.284181	+	0.164072i
$393$	−8.15048	+	4.70568i	−0.411137	+	0.237370i
$394$	−4.34684	+	7.52895i	−0.218991	+	0.379303i
$395$	−8.63090	−	34.7370i	−0.434268	−	1.74781i
$396$	−6.10977	+	10.5824i	−0.307027	+	0.531787i
$397$	−3.97920	−	2.29739i	−0.199710	−	0.115303i	0.396810	−	0.917901i	$-0.370117\pi$
$397$	−3.97920	−	2.29739i	−0.199710	−	0.115303i	−0.596520	+	0.802598i	$0.703450\pi$
$398$		−	21.5174i		−	1.07857i
$399$	0.0230680	−	0.0399550i	0.00115485	−	0.00200025i
$400$	4.23592	+	2.65649i	0.211796	+	0.132825i
$401$	−14.8516	−	25.7237i	−0.741652	−	1.28458i	−0.951743	−	0.306897i	$-0.900709\pi$
$401$	−14.8516	−	25.7237i	−0.741652	−	1.28458i	0.210091	−	0.977682i	$-0.432624\pi$
$402$			1.57531i			0.0785691i
$403$	32.4776	+	12.6520i	1.61782	+	0.630242i
$404$	−6.14116			−0.305534
$405$	−10.4119	+	10.0383i	−0.517371	+	0.498807i
$406$	2.57531	+	4.46056i	0.127810	+	0.221374i
$407$	−27.1769	−	15.6906i	−1.34711	−	0.777754i
$408$			1.70928i			0.0846217i
$409$	−5.15562	+	8.92980i	−0.254929	+	0.441550i	−0.964876	−	0.262705i	$-0.915385\pi$
$409$	−5.15562	+	8.92980i	−0.254929	+	0.441550i	0.709947	+	0.704255i	$0.248719\pi$
$410$	−0.276584	+	0.961610i	−0.0136595	+	0.0474905i
$411$	5.04331			0.248768
$412$	15.3116	+	8.84017i	0.754350	+	0.435524i
$413$	3.53730	−	2.04226i	0.174059	−	0.100493i
$414$	−6.73400	−	11.6636i	−0.330958	−	0.573236i
$415$	0.772055	−	0.191828i	0.0378987	−	0.00941646i
$416$	−2.25513	−	2.81325i	−0.110567	−	0.137931i
$417$			1.42574i			0.0698187i
$418$	−0.471213	+	0.272055i	−0.0230478	+	0.0133066i
$419$	19.0452	+	32.9873i	0.930421	+	1.61154i	0.782602	+	0.622522i	$0.213892\pi$
$419$	19.0452	+	32.9873i	0.930421	+	1.61154i	0.147819	+	0.989014i	$0.452775\pi$
$420$	0.821828	+	0.236379i	0.0401011	+	0.0115341i
$421$	−26.7103			−1.30178			−0.650891	−	0.759171i	$-0.725604\pi$
$421$	−26.7103			−1.30178			−0.650891	+	0.759171i	$0.725604\pi$
$422$	4.83990	+	2.79432i	0.235603	+	0.136025i
$423$	11.0494	+	6.37936i	0.537239	+	0.310175i
$424$	−9.58864			−0.465665
$425$	15.8399	+	0.578941i	0.768346	+	0.0280827i
$426$	−2.20620	−	3.82126i	−0.106891	−	0.185141i
$427$	4.33832	−	2.50473i	0.209946	−	0.121212i
$428$		−	0.539189i		−	0.0260627i
$429$	5.48421	+	6.84150i	0.264780	+	0.330311i
$430$	−1.07838	−	4.34017i	−0.0520040	−	0.209302i
$431$	10.3594	+	17.9429i	0.498993	+	0.864281i	0.999999	−	0.00116231i	$-0.000369975\pi$
$431$	10.3594	+	17.9429i	0.498993	+	0.864281i	−0.501006	+	0.865444i	$0.667037\pi$
$432$	2.66595	−	1.53919i	0.128266	−	0.0740543i
$433$	13.7331	+	7.92881i	0.659971	+	0.381034i	0.792266	−	0.610176i	$-0.208901\pi$
$433$	13.7331	+	7.92881i	0.659971	+	0.381034i	−0.132295	+	0.991210i	$0.542235\pi$
$434$	−6.85658			−0.329126
$435$	−2.42013	+	8.41415i	−0.116036	+	0.403427i
$436$	5.51026	−	9.54405i	0.263894	−	0.457077i
$437$		−	0.599701i		−	0.0286876i
$438$	−3.14977	−	1.81852i	−0.150502	−	0.0868923i
$439$	−4.86962	−	8.43444i	−0.232415	−	0.402554i	0.726104	−	0.687585i	$-0.241329\pi$
$439$	−4.86962	−	8.43444i	−0.232415	−	0.402554i	−0.958518	+	0.285032i	$0.907996\pi$
$440$	−6.99990	−	7.26042i	−0.333707	−	0.346127i
$441$	17.6020			0.838189
$442$	−10.6503	−	4.14896i	−0.506583	−	0.197346i
$443$			9.23060i			0.438559i	0.975662	+	0.219279i	$0.0703707\pi$
$443$			9.23060i			0.438559i	−0.975662	+	0.219279i	$0.929629\pi$
$444$	1.87577	+	3.24893i	0.0890200	+	0.154187i
$445$	5.84486	−	5.63513i	0.277073	−	0.267131i
$446$	12.3546	−	21.3989i	0.585009	−	1.01327i
$447$			4.97948i			0.235521i
$448$	0.614250	+	0.354638i	0.0290206	+	0.0167551i
$449$	−1.46194	+	2.53216i	−0.0689934	+	0.119500i	−0.898458	−	0.439058i	$-0.855312\pi$
$449$	−1.46194	+	2.53216i	−0.0689934	+	0.119500i	0.829465	+	0.558559i	$0.188645\pi$
$450$	−6.34017	−	11.9711i	−0.298879	−	0.564322i
$451$	1.00913	−	1.74786i	0.0475179	−	0.0823034i
$452$	−12.1244	+	7.00000i	−0.570282	+	0.329252i
$453$	−4.40136	+	2.54113i	−0.206794	+	0.119393i
$454$	28.6947			1.34671
$455$	−3.46769	+	4.54695i	−0.162568	+	0.213164i
$456$	0.0650468			0.00304609
$457$	−10.0915	+	5.82632i	−0.472060	+	0.272544i	−0.717101	−	0.696969i	$-0.754532\pi$
$457$	−10.0915	+	5.82632i	−0.472060	+	0.272544i	0.245042	+	0.969512i	$0.421198\pi$
$458$	1.64535	−	0.949940i	0.0768819	−	0.0443878i
$459$	4.87936	−	8.45130i	0.227749	−	0.394473i
$460$	10.7877	−	2.68035i	0.502977	−	0.124972i
$461$	15.1490	−	26.2388i	0.705557	−	1.22206i	−0.260933	−	0.965357i	$-0.584030\pi$
$461$	15.1490	−	26.2388i	0.705557	−	1.22206i	0.966490	−	0.256704i	$-0.0826366\pi$
$462$	−1.49378	−	0.862437i	−0.0694971	−	0.0401242i
$463$			7.04331i			0.327330i	0.986516	+	0.163665i	$0.0523316\pi$
$463$			7.04331i			0.327330i	−0.986516	+	0.163665i	$0.947668\pi$
$464$	−3.63090	+	6.28890i	−0.168560	+	0.291955i
$465$	−8.08953	−	8.39060i	−0.375143	−	0.389105i
$466$	11.1242	+	19.2677i	0.515320	+	0.892561i
$467$		−	3.90110i		−	0.180522i	−0.995918	−	0.0902608i	$-0.971230\pi$
$467$		−	3.90110i		−	0.180522i	0.995918	−	0.0902608i	$-0.0287700\pi$
$468$	1.48028	+	9.65562i	0.0684258	+	0.446331i
$469$	2.07223			0.0956869
$470$	−7.58078	+	7.30877i	−0.349675	+	0.337128i
$471$	−1.55611	−	2.69527i	−0.0717019	−	0.124191i
$472$	4.98720	+	2.87936i	0.229555	+	0.132533i
$473$			9.02052i			0.414764i
$474$	4.31545	−	7.47458i	0.198215	−	0.343319i
$475$	0.0220317	−	0.602788i	0.00101088	−	0.0276578i
$476$	2.24846			0.103058
$477$	22.4978	+	12.9891i	1.03010	+	0.594731i
$478$	−21.5389	+	12.4355i	−0.985165	+	0.568785i
$479$	8.75513	+	15.1643i	0.400032	+	0.692876i	0.993729	−	0.111813i	$-0.0356656\pi$
$479$	8.75513	+	15.1643i	0.400032	+	0.692876i	−0.593697	+	0.804689i	$0.702332\pi$
$480$	0.290725	+	1.17009i	0.0132697	+	0.0534069i
$481$	−24.7968	+	3.80152i	−1.13064	+	0.173335i
$482$		−	2.95055i		−	0.134394i
$483$	1.64640	−	0.950552i	0.0749140	−	0.0432516i
$484$	4.67122	+	8.09079i	0.212328	+	0.367763i
$485$	4.88805	−	16.9945i	0.221955	−	0.771680i
$486$	−12.7226			−0.577109
$487$	−33.3695	−	19.2659i	−1.51212	−	0.873022i	−0.999900	−	0.0141666i	$-0.995490\pi$
$487$	−33.3695	−	19.2659i	−1.51212	−	0.873022i	−0.512218	−	0.858855i	$-0.671176\pi$
$488$	6.11655	+	3.53139i	0.276883	+	0.159858i
$489$	−9.06997			−0.410158
$490$	−4.01570	+	13.9615i	−0.181411	+	0.630718i
$491$	−3.41189	−	5.90956i	−0.153976	−	0.266695i	0.778710	−	0.627385i	$-0.215875\pi$
$491$	−3.41189	−	5.90956i	−0.153976	−	0.266695i	−0.932686	+	0.360690i	$0.882541\pi$
$492$	−0.208951	+	0.120638i	−0.00942026	+	0.00543879i
$493$			23.0205i			1.03679i
$494$	−0.157889	+	0.405299i	−0.00710377	+	0.0182353i
$495$	6.58864	+	26.5174i	0.296137	+	1.19187i
$496$	−4.83351	−	8.37188i	−0.217031	−	0.375909i
$497$	−5.02667	+	2.90215i	−0.225477	+	0.130179i
$498$	0.166128	+	0.0959140i	0.00744437	+	0.00429801i
$499$	−9.57918			−0.428823			−0.214412	−	0.976743i	$-0.568783\pi$
$499$	−9.57918			−0.428823			−0.214412	+	0.976743i	$0.568783\pi$
$500$	10.9417	−	2.29783i	0.489326	−	0.102762i
$501$	4.88489	−	8.46088i	0.218241	−	0.378004i
$502$			16.5597i			0.739096i
$503$	14.4403	+	8.33710i	0.643860	+	0.371733i	0.786100	−	0.618099i	$-0.212097\pi$
$503$	14.4403	+	8.33710i	0.643860	+	0.371733i	−0.142240	+	0.989832i	$0.545430\pi$
$504$	−0.960811	−	1.66417i	−0.0427979	−	0.0741282i
$505$	−9.88576	+	9.53104i	−0.439911	+	0.424126i
$506$	−22.4208			−0.996727
$507$	6.84150	+	1.52525i	0.303842	+	0.0677386i
$508$			12.1773i			0.540279i
$509$	−11.8299	−	20.4900i	−0.524352	−	0.908204i	−0.999598	−	0.0283510i	$-0.990974\pi$
$509$	−11.8299	−	20.4900i	−0.524352	−	0.908204i	0.475246	−	0.879853i	$-0.342359\pi$
$510$	2.65279	+	2.75152i	0.117467	+	0.121839i
$511$	−2.39217	+	4.14336i	−0.105823	+	0.183291i
$512$			1.00000i			0.0441942i
$513$	−0.321616	−	0.185685i	−0.0141997	−	0.00819819i
$514$	0.261795	−	0.453443i	0.0115473	−	0.0200005i
$515$	38.3679	−	9.53305i	1.69069	−	0.420076i
$516$	0.539189	−	0.933903i	0.0237365	−	0.0411128i
$517$	18.3944	−	10.6200i	0.808986	−	0.467068i
$518$	4.27379	−	2.46748i	0.187780	−	0.108415i
$519$	5.55583			0.243874
$520$	−7.99636	−	1.02870i	−0.350664	−	0.0451115i
$521$	−24.0472			−1.05353			−0.526763	−	0.850012i	$-0.676594\pi$
$521$	−24.0472			−1.05353			−0.526763	+	0.850012i	$0.676594\pi$
$522$	17.0384	−	9.83710i	0.745749	−	0.430558i
$523$	−20.2079	+	11.6670i	−0.883628	+	0.510163i	−0.871853	−	0.489768i	$-0.837082\pi$
$523$	−20.2079	+	11.6670i	−0.883628	+	0.510163i	−0.0117752	+	0.999931i	$0.503748\pi$
$524$	−8.72733	+	15.1162i	−0.381255	+	0.660354i
$525$	1.68980	−	0.894960i	0.0737490	−	0.0390593i
$526$	−14.3908	+	24.9255i	−0.627467	+	1.08680i
$527$	−26.5396	−	15.3226i	−1.15608	−	0.667465i
$528$		−	2.43188i		−	0.105834i
$529$	0.855771	−	1.48224i	0.0372075	−	0.0644452i
$530$	−15.4354	+	14.8815i	−0.670469	+	0.646412i
$531$	−7.80098	−	13.5117i	−0.338534	−	0.586358i
$532$		−	0.0855657i		−	0.00370974i
$533$	−0.244491	−	1.59478i	−0.0105901	−	0.0690776i
$534$	1.95774			0.0847197
$535$	−0.836818	−	0.867962i	−0.0361788	−	0.0375253i
$536$	1.46081	+	2.53020i	0.0630974	+	0.109288i
$537$	0.589197	+	0.340173i	0.0254257	+	0.0146795i
$538$		−	10.0566i		−	0.433572i
$539$	14.6514	−	25.3770i	0.631081	−	1.09306i
$540$	1.90272	−	6.61526i	0.0818801	−	0.284676i
$541$	−33.1494			−1.42520			−0.712602	−	0.701569i	$-0.752483\pi$
$541$	−33.1494			−1.42520			−0.712602	+	0.701569i	$0.752483\pi$
$542$	−15.6972	−	9.06278i	−0.674252	−	0.389280i
$543$	1.11248	−	0.642291i	0.0477411	−	0.0275633i
$544$	1.58504	+	2.74538i	0.0679582	+	0.117707i
$545$	−5.94214	−	23.9155i	−0.254533	−	1.02443i
$546$	−1.36296	+	0.208951i	−0.0583293	+	0.00894229i
$547$			43.6742i			1.86737i	0.358090	+	0.933687i	$0.383428\pi$
$547$			43.6742i			1.86737i	−0.358090	+	0.933687i	$0.616572\pi$
$548$	8.10037	−	4.67675i	0.346031	−	0.199781i
$549$	−9.56751	−	16.5714i	−0.408331	−	0.707250i
$550$	−22.5362	−	0.823691i	−0.960949	−	0.0351223i
$551$	0.876050			0.0373210
$552$	2.32125	+	1.34017i	0.0987989	+	0.0570415i
$553$	−9.83242	−	5.67675i	−0.418117	−	0.241400i
$554$	24.7165			1.05010
$555$	8.06184	+	2.31879i	0.342206	+	0.0984273i
$556$	1.32211	+	2.28997i	0.0560701	+	0.0971163i
$557$	−19.3982	+	11.1995i	−0.821927	+	0.474540i	−0.851080	−	0.525035i	$-0.824052\pi$
$557$	−19.3982	+	11.1995i	−0.821927	+	0.474540i	0.0291537	+	0.999575i	$0.490719\pi$
$558$			26.1906i			1.10874i
$559$	4.51026	+	5.62651i	0.190764	+	0.237976i
$560$	1.53919	−	0.382433i	0.0650426	−	0.0161608i
$561$	−3.85464	−	6.67643i	−0.162743	−	0.281879i
$562$	19.9060	−	11.4927i	0.839683	−	0.484791i
$563$	0.208951	+	0.120638i	0.00880625	+	0.00508429i	0.504397	−	0.863472i	$-0.331715\pi$
$563$	0.208951	+	0.120638i	0.00880625	+	0.00508429i	−0.495590	+	0.868556i	$0.665048\pi$
$564$	−2.53919			−0.106919
$565$	−8.65329	+	30.0852i	−0.364047	+	1.26569i
$566$	−9.04945	+	15.6741i	−0.380377	+	0.658832i
$567$			4.58759i			0.192661i
$568$	−7.08705	−	4.09171i	−0.297366	−	0.171684i
$569$	13.5856	+	23.5309i	0.569537	+	0.986466i	0.996612	+	0.0822501i	$0.0262106\pi$
$569$	13.5856	+	23.5309i	0.569537	+	0.986466i	−0.427075	+	0.904216i	$0.640456\pi$
$570$	0.104709	−	0.100952i	0.00438579	−	0.00422842i
$571$	2.25461			0.0943524			0.0471762	−	0.998887i	$-0.484978\pi$
$571$	2.25461			0.0943524			0.0471762	+	0.998887i	$0.484978\pi$
$572$	15.1528	+	5.90295i	0.633570	+	0.246815i
$573$		−	5.97721i		−	0.249702i
$574$	0.158693	+	0.274865i	0.00662373	+	0.0114726i
$575$	13.2056	−	21.0571i	0.550712	−	0.878141i
$576$	1.35464	−	2.34630i	0.0564432	−	0.0977626i
$577$			7.86481i			0.327416i	0.986509	+	0.163708i	$0.0523455\pi$
$577$			7.86481i			0.327416i	−0.986509	+	0.163708i	$0.947654\pi$
$578$	−6.01935	−	3.47528i	−0.250372	−	0.144552i
$579$	3.77432	−	6.53732i	0.156855	−	0.271682i
$580$	3.91548	+	15.7587i	0.162581	+	0.654345i
$581$	0.126170	−	0.218533i	0.00523441	−	0.00906627i
$582$	3.69279	−	2.13203i	0.153071	−	0.0883755i
$583$	37.4532	−	21.6236i	1.55115	−	0.895559i
$584$	−6.74539			−0.279126
$585$	17.3684	+	13.2458i	0.718093	+	0.547647i
$586$	17.8443			0.737141
$587$	−9.70289	+	5.60197i	−0.400481	+	0.231218i	−0.686692	−	0.726949i	$-0.740938\pi$
$587$	−9.70289	+	5.60197i	−0.400481	+	0.231218i	0.286210	+	0.958167i	$0.407604\pi$
$588$	−3.03375	+	1.75154i	−0.125110	+	0.0722321i
$589$	−0.583105	+	1.00997i	−0.0240264	+	0.0416150i
$590$	12.4969	−	3.10504i	0.514490	−	0.127832i
$591$	−2.34377	+	4.05952i	−0.0964097	+	0.166986i
$592$	6.02558	+	3.47887i	0.247650	+	0.142981i
$593$		−	13.4186i		−	0.551034i	−0.961296	−	0.275517i	$-0.911151\pi$
$593$		−	13.4186i		−	0.551034i	0.961296	−	0.275517i	$-0.0888490\pi$
$594$	−6.94214	+	12.0241i	−0.284840	+	0.493356i
$595$	3.61948	−	3.48960i	0.148384	−	0.143060i
$596$	4.61757	+	7.99786i	0.189143	+	0.327605i
$597$		−	11.6020i		−	0.474837i
$598$	−13.9849	+	11.2104i	−0.571884	+	0.458428i
$599$	−29.5753			−1.20841			−0.604207	−	0.796827i	$-0.706510\pi$
$599$	−29.5753			−1.20841			−0.604207	+	0.796827i	$0.706510\pi$
$600$	2.28396	+	1.43235i	0.0932424	+	0.0584755i
$601$	−12.4916	−	21.6361i	−0.509543	−	0.882554i	−0.999939	−	0.0110541i	$-0.996481\pi$
$601$	−12.4916	−	21.6361i	−0.509543	−	0.882554i	0.490396	−	0.871500i	$-0.336852\pi$
$602$	−1.22850	−	0.709275i	−0.0500700	−	0.0289079i
$603$		−	7.91548i		−	0.322343i
$604$	−4.71287	+	8.16293i	−0.191764	+	0.332145i
$605$	20.0764	+	5.77449i	0.816221	+	0.234766i
$606$	−3.31124			−0.134510
$607$	−8.99964	−	5.19594i	−0.365284	−	0.210897i	0.306112	−	0.951995i	$-0.400972\pi$
$607$	−8.99964	−	5.19594i	−0.365284	−	0.210897i	−0.671396	+	0.741099i	$0.734305\pi$
$608$	0.104476	−	0.0603191i	0.00423705	−	0.00244626i
$609$	1.38858	+	2.40508i	0.0562680	+	0.0974590i
$610$	15.3268	−	3.80817i	0.620566	−	0.154188i
$611$	6.16342	−	15.8214i	0.249345	−	0.640065i
$612$		−	8.58864i		−	0.347175i
$613$	26.4385	−	15.2643i	1.06784	−	0.616517i	0.140249	−	0.990116i	$-0.455210\pi$
$613$	26.4385	−	15.2643i	1.06784	−	0.616517i	0.927590	+	0.373599i	$0.121876\pi$
$614$	1.72261	+	2.98364i	0.0695187	+	0.120410i
$615$	−0.149131	+	0.518489i	−0.00601354	+	0.0209075i
$616$	−3.19902			−0.128892
$617$	−6.32444	−	3.65142i	−0.254612	−	0.147000i	0.367262	−	0.930118i	$-0.380295\pi$
$617$	−6.32444	−	3.65142i	−0.254612	−	0.147000i	−0.621874	+	0.783117i	$0.713629\pi$
$618$	8.25586	+	4.76652i	0.332099	+	0.191738i
$619$	24.5103			0.985151			0.492575	−	0.870270i	$-0.336056\pi$
$619$	24.5103			0.985151			0.492575	+	0.870270i	$0.336056\pi$
$620$	−20.7739	−	5.97510i	−0.834299	−	0.239966i
$621$	−7.65142	−	13.2526i	−0.307041	−	0.531810i
$622$	15.4358	−	8.91189i	0.618921	−	0.357334i
$623$		−	2.57531i		−	0.103177i
$624$	−1.21594	−	1.51687i	−0.0486766	−	0.0607236i
$625$	14.0472	−	20.6803i	0.561887	−	0.827214i
$626$	−16.1122	−	27.9072i	−0.643974	−	1.11540i
$627$	−0.254073	+	0.146689i	−0.0101467	+	0.00585819i
$628$	−4.99875	−	2.88603i	−0.199472	−	0.115165i
$629$	22.0566			0.879456
$630$	−4.12946	−	1.18774i	−0.164522	−	0.0473207i
$631$	1.53919	−	2.66595i	0.0612741	−	0.106130i	−0.833761	−	0.552125i	$-0.813817\pi$
$631$	1.53919	−	2.66595i	0.0612741	−	0.106130i	0.895035	+	0.445996i	$0.147150\pi$
$632$		−	16.0072i		−	0.636732i
$633$	2.60962	+	1.50667i	0.103723	+	0.0598846i
$634$	0.953012	+	1.65067i	0.0378489	+	0.0655563i
$635$	18.8991	+	19.6024i	0.749986	+	0.777899i
$636$	−5.17009			−0.205007
$637$	−3.54975	−	23.1545i	−0.140646	−	0.917414i
$638$		−	32.7526i		−	1.29669i
$639$	11.0856	+	19.2008i	0.438538	+	0.759570i
$640$	1.55199	+	1.60976i	0.0613480	+	0.0636312i
$641$	1.23400	−	2.13735i	0.0487401	−	0.0844202i	−0.840626	−	0.541616i	$-0.817813\pi$
$641$	1.23400	−	2.13735i	0.0487401	−	0.0844202i	0.889366	+	0.457196i	$0.151146\pi$
$642$		−	0.290725i		−	0.0114740i
$643$	−16.2999	−	9.41075i	−0.642805	−	0.371124i	0.142889	−	0.989739i	$-0.454361\pi$
$643$	−16.2999	−	9.41075i	−0.642805	−	0.371124i	−0.785694	+	0.618615i	$0.787694\pi$
$644$	1.76293	−	3.05348i	0.0694691	−	0.120324i
$645$	−0.581449	−	2.34017i	−0.0228945	−	0.0921442i
$646$	0.191217	−	0.331197i	0.00752332	−	0.0130308i
$647$	−10.1352	+	5.85157i	−0.398456	+	0.230049i	−0.685818	−	0.727773i	$-0.740555\pi$
$647$	−10.1352	+	5.85157i	−0.398456	+	0.230049i	0.287361	+	0.957822i	$0.407222\pi$
$648$	−5.60145	+	3.23400i	−0.220046	+	0.127043i
$649$	−25.9733			−1.01954
$650$	−14.4687	+	10.7544i	−0.567510	+	0.421820i
$651$	−3.69699			−0.144896
$652$	−14.5678	+	8.41075i	−0.570521	+	0.329390i
$653$	−12.7251	+	7.34684i	−0.497972	+	0.287504i	−0.727875	−	0.685709i	$-0.759492\pi$
$653$	−12.7251	+	7.34684i	−0.497972	+	0.287504i	0.229904	+	0.973213i	$0.426159\pi$
$654$	2.97107	−	5.14605i	0.116178	−	0.201226i
$655$	9.41136	+	37.8781i	0.367732	+	1.48002i
$656$	−0.223740	+	0.387529i	−0.00873558	+	0.0151305i
$657$	15.8267	+	9.13756i	0.617459	+	0.356490i
$658$			3.34017i			0.130213i
$659$	9.39383	−	16.2706i	0.365932	−	0.633812i	−0.622994	−	0.782227i	$-0.714084\pi$
$659$	9.39383	−	16.2706i	0.365932	−	0.633812i	0.988925	+	0.148415i	$0.0474171\pi$
$660$	−3.77427	−	3.91474i	−0.146913	−	0.152381i
$661$	2.92101	+	5.05934i	0.113614	+	0.196785i	0.917225	−	0.398370i	$-0.130424\pi$
$661$	2.92101	+	5.05934i	0.113614	+	0.196785i	−0.803611	+	0.595155i	$0.797091\pi$
$662$		−	0.711543i		−	0.0276549i
$663$	−5.74253	−	2.23707i	−0.223021	−	0.0868806i
$664$	0.355771			0.0138066
$665$	−0.132797	−	0.137740i	−0.00514966	−	0.00534132i
$666$	−9.42522	−	16.3250i	−0.365220	−	0.632579i
$667$	31.2626	+	18.0494i	1.21049	+	0.698877i
$668$		−	18.1194i		−	0.701061i
$669$	6.66148	−	11.5380i	0.257548	−	0.446086i
$670$	6.27840	+	1.80583i	0.242556	+	0.0697653i
$671$	−31.8550			−1.22975
$672$	0.331197	+	0.191217i	0.0127762	+	0.00737634i
$673$	35.4140	−	20.4463i	1.36511	−	0.788145i	0.374809	−	0.927102i	$-0.377708\pi$
$673$	35.4140	−	20.4463i	1.36511	−	0.788145i	0.990298	+	0.138957i	$0.0443749\pi$
$674$	4.92522	+	8.53072i	0.189712	+	0.328591i
$675$	−7.20394	−	13.6020i	−0.277280	−	0.523540i
$676$	12.4030	−	3.89445i	0.477037	−	0.149787i
$677$		−	28.2700i		−	1.08651i	−0.839569	−	0.543253i	$-0.817193\pi$
$677$		−	28.2700i		−	1.08651i	0.839569	−	0.543253i	$-0.182807\pi$
$678$	−6.53732	+	3.77432i	−0.251064	+	0.144952i
$679$	−2.80458	−	4.85767i	−0.107630	−	0.186420i
$680$	6.81234	+	1.95941i	0.261241	+	0.0751398i
$681$	15.4719			0.592884
$682$	37.7594	+	21.8004i	1.44588	+	0.834779i
$683$	−35.9445	−	20.7526i	−1.37538	−	0.794075i	−0.383780	−	0.923425i	$-0.625378\pi$
$683$	−35.9445	−	20.7526i	−1.37538	−	0.794075i	−0.991599	+	0.129349i	$0.958711\pi$
$684$	−0.326842			−0.0124971
$685$	5.78133	−	20.1002i	0.220893	−	0.767988i
$686$	4.78652	+	8.29049i	0.182750	+	0.316533i
$687$	0.887152	−	0.512197i	0.0338469	−	0.0195415i
$688$		−	2.00000i		−	0.0762493i
$689$	12.5494	−	32.2142i	0.478096	−	1.22726i
$690$	5.81658	−	1.44521i	0.221434	−	0.0550183i
$691$	12.0542	+	20.8784i	0.458562	+	0.794253i	0.998885	−	0.0472043i	$-0.0150312\pi$
$691$	12.0542	+	20.8784i	0.458562	+	0.794253i	−0.540323	+	0.841458i	$0.681698\pi$
$692$	8.92357	−	5.15203i	0.339223	−	0.195851i
$693$	7.50586	+	4.33351i	0.285124	+	0.164616i
$694$	25.5330			0.969221
$695$	5.68230	+	1.63438i	0.215542	+	0.0619954i
$696$	−1.95774	+	3.39090i	−0.0742079	+	0.128532i
$697$			1.41855i			0.0537314i
$698$	−15.6375	−	9.02832i	−0.591888	−	0.341727i
$699$	5.99806	+	10.3889i	0.226868	+	0.392946i
$700$	1.88418	−	3.00444i	0.0712154	−	0.113557i
$701$	−14.1822			−0.535654			−0.267827	−	0.963467i	$-0.586306\pi$
$701$	−14.1822			−0.535654			−0.267827	+	0.963467i	$0.586306\pi$
$702$	1.68194	+	10.9711i	0.0634809	+	0.414076i
$703$		−	0.839369i		−	0.0316574i
$704$	−2.25513	−	3.90600i	−0.0849934	−	0.147213i
$705$	−4.08747	+	3.94081i	−0.153943	+	0.148419i
$706$	7.32325	−	12.6842i	0.275614	−	0.477378i
$707$			4.35577i			0.163816i
$708$	2.68904	+	1.55252i	0.101060	+	0.0583473i
$709$	−23.2479	+	40.2665i	−0.873091	+	1.51224i	−0.0143094	+	0.999898i	$0.504555\pi$
$709$	−23.2479	+	40.2665i	−0.873091	+	1.51224i	−0.858782	+	0.512341i	$0.828778\pi$
$710$	−17.7587	+	4.41241i	−0.666473	+	0.165595i
$711$	−21.6839	+	37.5577i	−0.813211	+	1.40852i
$712$	3.14445	−	1.81545i	0.117843	−	0.0680368i
$713$	−41.6172	+	24.0277i	−1.55858	+	0.899845i
$714$	1.21235			0.0453709
$715$	33.5536	−	14.0147i	1.25483	−	0.524121i
$716$	1.26180			0.0471555
$717$	−11.6135	+	6.70507i	−0.433715	+	0.250405i
$718$	11.6208	−	6.70928i	0.433685	−	0.250388i
$719$	−6.36069	+	11.0170i	−0.237214	+	0.410866i	−0.959914	−	0.280296i	$-0.909568\pi$
$719$	−6.36069	+	11.0170i	−0.237214	+	0.410866i	0.722700	+	0.691162i	$0.242901\pi$
$720$	−1.46081	−	5.87936i	−0.0544412	−	0.219111i
$721$	6.27012	−	10.8602i	0.233511	−	0.404454i
$722$	16.4419	+	9.49272i	0.611903	+	0.353283i
$723$		−	1.59090i		−	0.0591664i
$724$	1.19122	−	2.06325i	0.0442712	−	0.0766800i
$725$	30.7604	+	19.2909i	1.14241	+	0.716446i
$726$	2.51867	+	4.36246i	0.0934766	+	0.161906i
$727$		−	13.2595i		−	0.491769i	−0.969299	−	0.245884i	$-0.920922\pi$
$727$		−	13.2595i		−	0.491769i	0.969299	−	0.245884i	$-0.0790783\pi$
$728$	−1.99537	+	1.59951i	−0.0739534	+	0.0592817i
$729$	12.5441			0.464597
$730$	−10.8584	+	10.4688i	−0.401889	+	0.387468i
$731$	−3.17009	−	5.49075i	−0.117250	−	0.203083i
$732$	3.29797	+	1.90409i	0.121897	+	0.0703770i
$733$			31.5848i			1.16661i	0.812253	+	0.583305i	$0.198241\pi$
$733$			31.5848i			1.16661i	−0.812253	+	0.583305i	$0.801759\pi$
$734$	10.7721	−	18.6577i	0.397604	−	0.688670i
$735$	−2.16522	+	7.52791i	−0.0798654	+	0.277671i
$736$	4.97107			0.183236
$737$	−11.4119	−	6.58864i	−0.420361	−	0.242696i
$738$	1.04992	−	0.606173i	0.0386482	−	0.0223136i
$739$	1.41609	+	2.45274i	0.0520917	+	0.0902255i	0.890895	−	0.454208i	$-0.150078\pi$
$739$	1.41609	+	2.45274i	0.0520917	+	0.0902255i	−0.838804	+	0.544434i	$0.816745\pi$
$740$	15.0989	−	3.75154i	0.555046	−	0.137909i
$741$	−0.0851321	+	0.218533i	−0.00312741	+	0.00802800i
$742$			6.80098i			0.249672i
$743$	18.0151	−	10.4010i	0.660909	−	0.381576i	−0.131714	−	0.991288i	$-0.542048\pi$
$743$	18.0151	−	10.4010i	0.660909	−	0.381576i	0.792623	+	0.609712i	$0.208715\pi$
$744$	−2.60617	−	4.51402i	−0.0955470	−	0.165492i
$745$	19.8458	+	5.70816i	0.727093	+	0.209131i
$746$	−21.3340			−0.781094
$747$	−0.834747	−	0.481941i	−0.0305418	−	0.0176333i
$748$	−12.3824	−	7.14896i	−0.452744	−	0.261392i
$749$	−0.382433			−0.0139738
$750$	5.89962	−	1.23896i	0.215424	−	0.0452406i
$751$	−18.1412	−	31.4214i	−0.661980	−	1.14658i	−0.980095	−	0.198531i	$-0.936383\pi$
$751$	−18.1412	−	31.4214i	−0.661980	−	1.14658i	0.318114	−	0.948052i	$-0.396950\pi$
$752$	−4.07835	+	2.35464i	−0.148722	+	0.0858648i
$753$			8.92881i			0.325384i
$754$	−16.3763	−	20.4293i	−0.596389	−	0.743990i
$755$	5.08225	+	20.4547i	0.184962	+	0.744422i
$756$	−1.09171	−	1.89090i	−0.0397051	−	0.0687712i
$757$	−35.3933	+	20.4343i	−1.28639	+	0.742699i	−0.978009	−	0.208563i	$-0.933121\pi$
$757$	−35.3933	+	20.4343i	−1.28639	+	0.742699i	−0.308383	+	0.951262i	$0.599788\pi$
$758$	7.02540	+	4.05611i	0.255174	+	0.147325i
$759$	−12.0891			−0.438805
$760$	0.0745655	−	0.259245i	0.00270477	−	0.00940379i
$761$	−17.8112	+	30.8500i	−0.645657	+	1.11831i	0.338492	+	0.940969i	$0.390083\pi$
$761$	−17.8112	+	30.8500i	−0.645657	+	1.11831i	−0.984149	+	0.177342i	$0.943250\pi$
$762$			6.56585i			0.237856i
$763$	−6.76936	−	3.90829i	−0.245067	−	0.141490i
$764$	−5.54278	−	9.60038i	−0.200531	−	0.347330i
$765$	−13.3295	−	13.8256i	−0.481930	−	0.499866i
$766$	−24.9399			−0.901114
$767$	−16.2007	+	12.9867i	−0.584975	+	0.468921i
$768$			0.539189i			0.0194563i
$769$	1.68455	+	2.91773i	0.0607465	+	0.105216i	0.894799	−	0.446469i	$-0.147319\pi$
$769$	1.68455	+	2.91773i	0.0607465	+	0.105216i	−0.834053	+	0.551685i	$0.813985\pi$
$770$	−5.14963	+	4.96486i	−0.185580	+	0.178921i
$771$	0.141157	−	0.244491i	0.00508365	−	0.00880514i
$772$		−	14.0000i		−	0.503871i
$773$	9.59506	+	5.53971i	0.345110	+	0.199250i	0.662530	−	0.749036i	$-0.269483\pi$
$773$	9.59506	+	5.53971i	0.345110	+	0.199250i	−0.317419	+	0.948285i	$0.602816\pi$
$774$	−2.70928	+	4.69260i	−0.0973829	+	0.168672i
$775$	−42.7142	+	22.6225i	−1.53434	+	0.812624i
$776$	3.95415	−	6.84878i	0.141946	−	0.245857i
$777$	2.30438	−	1.33044i	0.0826693	−	0.0477291i
$778$	−11.7200	+	6.76652i	−0.420181	+	0.242592i
$779$	0.0539832			0.00193415
$780$	−4.31155	−	0.554664i	−0.154378	−	0.0198601i
$781$	36.9093			1.32072
$782$	13.6475	−	7.87936i	0.488032	−	0.281765i
$783$	19.3596	−	11.1773i	0.691856	−	0.399443i
$784$	−3.24846	+	5.62651i	−0.116017	+	0.200947i
$785$	−12.5259	+	3.11223i	−0.447067	+	0.111080i
$786$	−4.70568	+	8.15048i	−0.167846	+	0.290718i
$787$	−4.91114	−	2.83545i	−0.175063	−	0.101073i	0.409908	−	0.912127i	$-0.365561\pi$
$787$	−4.91114	−	2.83545i	−0.175063	−	0.101073i	−0.584971	+	0.811054i	$0.698894\pi$
$788$			8.69368i			0.309699i
$789$	−7.75933	+	13.4396i	−0.276240	+	0.478461i
$790$	−24.8431	−	25.7677i	−0.883877	−	0.916772i
$791$	4.96493	+	8.59951i	0.176532	+	0.305763i
$792$			12.2195i			0.434202i
$793$	−19.8694	+	15.9275i	−0.705582	+	0.565602i
$794$	−4.59478			−0.163063
$795$	−8.32258	+	8.02395i	−0.295171	+	0.284580i
$796$	−10.7587	−	18.6347i	−0.381333	−	0.660488i
$797$	−23.6792	−	13.6712i	−0.838762	−	0.484259i	0.0180812	−	0.999837i	$-0.494244\pi$
$797$	−23.6792	−	13.6712i	−0.838762	−	0.484259i	−0.856843	+	0.515577i	$0.827578\pi$
$798$		−	0.0461361i		−	0.00163320i
$799$	−7.46441	+	12.9287i	−0.264072	+	0.457386i
$800$	4.99666	+	0.182626i	0.176659	+	0.00645681i
$801$	−9.83710			−0.347577
$802$	−25.7237	−	14.8516i	−0.908334	−	0.524427i
$803$	26.3475	−	15.2117i	0.929783	−	0.536810i
$804$	0.787653	+	1.36426i	0.0277784	+	0.0481136i
$805$	−1.90110	−	7.65142i	−0.0670051	−	0.269677i
$806$	34.4524	−	5.28180i	1.21353	−	0.186043i
$807$		−	5.42243i		−	0.190878i
$808$	−5.31840	+	3.07058i	−0.187101	+	0.108023i
$809$	−2.51446	−	4.35518i	−0.0884039	−	0.153120i	0.818433	−	0.574602i	$-0.194843\pi$
$809$	−2.51446	−	4.35518i	−0.0884039	−	0.153120i	−0.906837	+	0.421482i	$0.861510\pi$
$810$	−3.99782	+	13.8994i	−0.140469	+	0.488374i
$811$	47.3390			1.66230			0.831148	−	0.556052i	$-0.187684\pi$
$811$	47.3390			1.66230			0.831148	+	0.556052i	$0.187684\pi$
$812$	4.46056	+	2.57531i	0.156535	+	0.0903755i
$813$	−8.46375	−	4.88655i	−0.296837	−	0.171379i
$814$	−31.3812			−1.09991
$815$	−10.3972	+	36.1485i	−0.364199	+	1.26623i
$816$	0.854638	+	1.48028i	0.0299183	+	0.0518200i
$817$	−0.208951	+	0.120638i	−0.00731028	+	0.00422059i
$818$			10.3112i			0.360524i
$819$	6.84849	−	1.04992i	0.239306	−	0.0366873i
$820$	0.241276	+	0.971071i	0.00842573	+	0.0339113i
$821$	10.3408	+	17.9108i	0.360896	+	0.625090i	0.988109	−	0.153758i	$-0.0491376\pi$
$821$	10.3408	+	17.9108i	0.360896	+	0.625090i	−0.627213	+	0.778848i	$0.715804\pi$
$822$	4.36763	−	2.52165i	0.152339	−	0.0879527i
$823$	−17.1794	−	9.91855i	−0.598837	−	0.345739i	0.169747	−	0.985488i	$-0.445705\pi$
$823$	−17.1794	−	9.91855i	−0.598837	−	0.345739i	−0.768584	+	0.639749i	$0.779038\pi$
$824$	17.6803			0.615924
$825$	−12.1513	−	0.444125i	−0.423054	−	0.0154625i
$826$	2.04226	−	3.53730i	0.0710593	−	0.123078i
$827$			39.6730i			1.37956i	0.724017	+	0.689782i	$0.242294\pi$
$827$			39.6730i			1.37956i	−0.724017	+	0.689782i	$0.757706\pi$
$828$	−11.6636	−	6.73400i	−0.405339	−	0.234023i
$829$	−12.6937	−	21.9861i	−0.440870	−	0.763609i	0.556885	−	0.830590i	$-0.311997\pi$
$829$	−12.6937	−	21.9861i	−0.440870	−	0.763609i	−0.997754	+	0.0669813i	$0.978663\pi$
$830$	0.572705	−	0.552155i	0.0198789	−	0.0191656i
$831$	13.3268			0.462303
$832$	−3.35963	−	1.30878i	−0.116474	−	0.0453739i
$833$			20.5958i			0.713603i
$834$	0.712869	+	1.23473i	0.0246846	+	0.0427551i
$835$	−28.1212	−	29.1678i	−0.973175	−	1.00939i
$836$	−0.272055	+	0.471213i	−0.00940921	+	0.0162972i
$837$			29.7587i			1.02861i
$838$	32.9873	+	19.0452i	1.13953	+	0.657907i
$839$	−11.5139	+	19.9426i	−0.397502	+	0.688494i	−0.993417	−	0.114553i	$-0.963456\pi$
$839$	−11.5139	+	19.9426i	−0.397502	+	0.688494i	0.595915	+	0.803048i	$0.296790\pi$
$840$	0.829914	−	0.206204i	0.0286347	−	0.00711471i
$841$	−11.8668	+	20.5540i	−0.409201	+	0.708757i
$842$	−23.1318	+	13.3552i	−0.797175	+	0.460249i
$843$	10.7331	−	6.19675i	0.369667	−	0.213427i
$844$	5.58864			0.192369
$845$	13.9216	−	25.5184i	0.478916	−	0.877861i
$846$	12.7587			0.438654
$847$	5.73860	−	3.31318i	0.197181	−	0.113842i
$848$	−8.30400	+	4.79432i	−0.285161	+	0.164638i
$849$	−4.87936	+	8.45130i	−0.167459	+	0.290048i
$850$	14.0072	−	7.41855i	0.480443	−	0.254454i
$851$	17.2937	−	29.9536i	0.592821	−	1.02680i
$852$	−3.82126	−	2.20620i	−0.130914	−	0.0755833i
$853$			13.7047i			0.469241i	0.972087	+	0.234621i	$0.0753848\pi$
$853$			13.7047i			0.469241i	−0.972087	+	0.234621i	$0.924615\pi$
$854$	2.50473	−	4.33832i	0.0857100	−	0.148454i
$855$	−0.526136	+	0.507257i	−0.0179935	+	0.0173478i
$856$	−0.269594	−	0.466951i	−0.00921455	−	0.0159601i
$857$		−	17.8648i		−	0.610250i	−0.952312	−	0.305125i	$-0.901302\pi$
$857$		−	17.8648i		−	0.610250i	0.952312	−	0.305125i	$-0.0986983\pi$
$858$	8.17021	+	3.18281i	0.278926	+	0.108659i
$859$	−13.7187			−0.468077			−0.234039	−	0.972227i	$-0.575194\pi$
$859$	−13.7187			−0.468077			−0.234039	+	0.972227i	$0.575194\pi$
$860$	−3.10399	−	3.21951i	−0.105845	−	0.109784i
$861$	0.0855657	+	0.148204i	0.00291607	+	0.00505078i
$862$	17.9429	+	10.3594i	0.611139	+	0.352841i
$863$			19.9383i			0.678706i	0.940659	+	0.339353i	$0.110208\pi$
$863$			19.9383i			0.678706i	−0.940659	+	0.339353i	$0.889792\pi$
$864$	1.53919	−	2.66595i	0.0523643	−	0.0906976i
$865$	6.36885	−	22.1428i	0.216548	−	0.752879i
$866$	15.8576			0.538864
$867$	−3.24557	−	1.87383i	−0.110225	−	0.0636386i
$868$	−5.93797	+	3.42829i	−0.201548	+	0.116364i
$869$	36.0983	+	62.5241i	1.22455	+	2.12098i
$870$	2.11118	+	8.49693i	0.0715758	+	0.288073i
$871$	−10.4124	+	1.59630i	−0.352811	+	0.0540884i
$872$		−	11.0205i		−	0.373202i
$873$	−18.5552	+	10.7129i	−0.628000	+	0.362576i
$874$	−0.299850	−	0.519356i	−0.0101426	−	0.0175675i
$875$	−1.62979	−	7.76065i	−0.0550971	−	0.262358i
$876$	−3.63704			−0.122884
$877$	18.7203	+	10.8082i	0.632140	+	0.364966i	0.781580	−	0.623805i	$-0.214414\pi$
$877$	18.7203	+	10.8082i	0.632140	+	0.364966i	−0.149441	+	0.988771i	$0.547747\pi$
$878$	−8.43444	−	4.86962i	−0.284648	−	0.164342i
$879$	9.62144			0.324523
$880$	−9.69230	−	2.78776i	−0.326727	−	0.0939752i
$881$	3.99693	+	6.92288i	0.134660	+	0.233238i	0.925468	−	0.378827i	$-0.123672\pi$
$881$	3.99693	+	6.92288i	0.134660	+	0.233238i	−0.790808	+	0.612065i	$0.790339\pi$
$882$	15.2438	−	8.80098i	0.513284	−	0.296345i
$883$		−	26.2713i		−	0.884098i	−0.896991	−	0.442049i	$-0.854252\pi$
$883$		−	26.2713i		−	0.884098i	0.896991	−	0.442049i	$-0.145748\pi$
$884$	−11.2979	+	1.73205i	−0.379990	+	0.0582552i
$885$	6.73820	−	1.67420i	0.226502	−	0.0562777i
$886$	4.61530	+	7.99393i	0.155054	+	0.268561i
$887$	14.8634	−	8.58136i	0.499063	−	0.288134i	−0.229264	−	0.973364i	$-0.573632\pi$
$887$	14.8634	−	8.58136i	0.499063	−	0.288134i	0.728326	+	0.685230i	$0.240299\pi$
$888$	3.24893	+	1.87577i	0.109027	+	0.0629466i
$889$	8.63704			0.289677
$890$	2.24423	−	7.80260i	0.0752267	−	0.261544i
$891$	14.5862	−	25.2640i	0.488655	−	0.846376i
$892$		−	24.7093i		−	0.827328i
$893$	0.492005	+	0.284059i	0.0164643	+	0.00950568i
$894$	2.48974	+	4.31236i	0.0832694	+	0.144227i
$895$	2.03118	−	1.95830i	0.0678949	−	0.0654587i
$896$	0.709275			0.0236952
$897$	−7.54049	+	6.04453i	−0.251770	+	0.201821i
$898$			2.92389i			0.0975715i
$899$	−35.0999	−	60.7949i	−1.17065	−	2.02762i
$900$	−11.4763	−	7.19716i	−0.382543	−	0.239905i
$901$	−15.1984	+	26.3244i	−0.506332	+	0.876993i
$902$		−	2.01825i		−	0.0672004i
$903$	−0.662394	−	0.382433i	−0.0220431	−	0.0127266i
$904$	−7.00000	+	12.1244i	−0.232817	+	0.403250i
$905$	−1.28458	−	5.17009i	−0.0427009	−	0.171859i
$906$	−2.54113	+	4.40136i	−0.0844233	+	0.146225i
$907$	14.2146	−	8.20682i	0.471989	−	0.272503i	−0.245083	−	0.969502i	$-0.578815\pi$
$907$	14.2146	−	8.20682i	0.471989	−	0.272503i	0.717072	+	0.696999i	$0.245482\pi$
$908$	24.8504	−	14.3474i	0.824688	−	0.476134i
$909$	16.6381			0.551850
$910$	−0.729632	+	5.67162i	−0.0241871	+	0.188012i
$911$	−4.52359			−0.149873			−0.0749366	−	0.997188i	$-0.523875\pi$
$911$	−4.52359			−0.149873			−0.0749366	+	0.997188i	$0.523875\pi$
$912$	0.0563321	−	0.0325234i	0.00186534	−	0.00107696i
$913$	−1.38964	+	0.802311i	−0.0459905	+	0.0265526i
$914$	−5.82632	+	10.0915i	−0.192718	+	0.333797i
$915$	8.26406	−	2.05332i	0.273201	−	0.0678808i
$916$	0.949940	−	1.64535i	0.0313869	−	0.0543637i
$917$	10.7215	+	6.19008i	0.354056	+	0.204415i
$918$		−	9.75872i		−	0.322086i
$919$	−3.82150	+	6.61904i	−0.126060	+	0.218342i	−0.922147	−	0.386840i	$-0.873566\pi$
$919$	−3.82150	+	6.61904i	−0.126060	+	0.218342i	0.796087	+	0.605182i	$0.206900\pi$
$920$	8.00221	−	7.71507i	0.263825	−	0.254358i
$921$	0.928810	+	1.60875i	0.0306053	+	0.0530100i
$922$		−	30.2979i		−	0.997809i
$923$	23.0220	−	18.4547i	0.757779	−	0.607443i
$924$	−1.72487			−0.0567442
$925$	18.4832	−	29.4725i	0.607723	−	0.969049i
$926$	3.52165	+	6.09968i	0.115729	+	0.200448i
$927$	−41.4834	−	23.9505i	−1.36249	−	0.786636i
$928$			7.26180i			0.238380i
$929$	29.6647	−	51.3808i	0.973269	−	1.68575i	0.287735	−	0.957710i	$-0.407098\pi$
$929$	29.6647	−	51.3808i	0.973269	−	1.68575i	0.685534	−	0.728041i	$-0.259569\pi$
$930$	−11.2010	−	3.22171i	−0.367297	−	0.105644i
$931$	0.783777			0.0256873
$932$	19.2677	+	11.1242i	0.631136	+	0.364386i
$933$	8.32283	−	4.80519i	0.272477	−	0.157315i
$934$	−1.95055	−	3.37845i	−0.0638240	−	0.110546i
$935$	−31.0277	+	7.70928i	−1.01471	+	0.252120i
$936$	6.10977	+	7.62188i	0.199704	+	0.249129i
$937$			1.75872i			0.0574550i	0.999587	+	0.0287275i	$0.00914551\pi$
$937$			1.75872i			0.0574550i	−0.999587	+	0.0287275i	$0.990854\pi$
$938$	1.79461	−	1.03612i	0.0585960	−	0.0338304i
$939$	−8.68753	−	15.0473i	−0.283507	−	0.491048i
$940$	−2.91077	+	10.1200i	−0.0949387	+	0.330077i
$941$	42.2967			1.37883			0.689416	−	0.724365i	$-0.257867\pi$
$941$	42.2967			1.37883			0.689416	+	0.724365i	$0.257867\pi$
$942$	−2.69527	−	1.55611i	−0.0878166	−	0.0507009i
$943$	1.92643	+	1.11223i	0.0627333	+	0.0362191i
$944$	5.75872			0.187430
$945$	−4.69204	−	1.34955i	−0.152632	−	0.0439010i
$946$	4.51026	+	7.81200i	0.146641	+	0.253990i
$947$	4.19011	−	2.41916i	0.136160	−	0.0786122i	−0.430372	−	0.902651i	$-0.641618\pi$
$947$	4.19011	−	2.41916i	0.136160	−	0.0786122i	0.566533	+	0.824039i	$0.308284\pi$
$948$		−	8.63090i		−	0.280319i
$949$	8.82826	−	22.6620i	0.286577	−	0.735640i
$950$	−0.282314	−	0.533046i	−0.00915948	−	0.0172943i
$951$	0.513853	+	0.890020i	0.0166628	+	0.0288609i
$952$	1.94723	−	1.12423i	0.0631100	−	0.0364366i
$953$	22.4767	+	12.9769i	0.728092	+	0.420364i	0.817724	−	0.575611i	$-0.195236\pi$
$953$	22.4767	+	12.9769i	0.728092	+	0.420364i	−0.0896318	+	0.995975i	$0.528569\pi$
$954$	25.9783			0.841077
$955$	−23.8223	−	6.85190i	−0.770870	−	0.221722i
$956$	−12.4355	+	21.5389i	−0.402192	+	0.696617i
$957$		−	17.6598i		−	0.570861i
$958$	15.1643	+	8.75513i	0.489937	+	0.282865i
$959$	−3.31710	−	5.74539i	−0.107115	−	0.185528i
$960$	0.836818	+	0.867962i	0.0270082	+	0.0280134i
$961$	62.4512			2.01455
$962$	−19.5739	+	15.6906i	−0.631087	+	0.505885i
$963$			1.46081i			0.0470740i
$964$	−1.47528	−	2.55525i	−0.0475154	−	0.0822991i
$965$	−21.7279	−	22.5366i	−0.699447	−	0.725478i
$966$	0.950552	−	1.64640i	0.0305835	−	0.0529722i
$967$		−	29.9939i		−	0.964537i	−0.876023	−	0.482269i	$-0.839813\pi$
$967$		−	29.9939i		−	0.964537i	0.876023	−	0.482269i	$-0.160187\pi$
$968$	8.09079	+	4.67122i	0.260048	+	0.150139i
$969$	0.103102	−	0.178578i	0.00331211	−	0.00573674i
$970$	−4.26406	−	17.1617i	−0.136911	−	0.551028i
$971$	−7.86429	+	13.6213i	−0.252377	+	0.437130i	−0.964180	−	0.265250i	$-0.914546\pi$
$971$	−7.86429	+	13.6213i	−0.252377	+	0.437130i	0.711803	+	0.702379i	$0.247879\pi$
$972$	−11.0181	+	6.36130i	−0.353406	+	0.204039i
$973$	1.62422	−	0.937743i	0.0520701	−	0.0300627i
$974$	−38.5318			−1.23464
$975$	−7.80137	+	5.79863i	−0.249844	+	0.185705i
$976$	7.06278			0.226074
$977$	23.8539	−	13.7721i	0.763154	−	0.440607i	−0.0672731	−	0.997735i	$-0.521430\pi$
$977$	23.8539	−	13.7721i	0.763154	−	0.440607i	0.830427	+	0.557128i	$0.188097\pi$
$978$	−7.85482	+	4.53498i	−0.251170	+	0.145013i
$979$	−8.18815	+	14.1823i	−0.261694	+	0.453268i
$980$	3.50307	+	14.0989i	0.111902	+	0.450373i
$981$	−14.9288	+	25.8575i	−0.476640	+	0.825565i
$982$	−5.90956	−	3.41189i	−0.188582	−	0.108878i
$983$			18.0289i			0.575034i	0.957776	+	0.287517i	$0.0928297\pi$
$983$			18.0289i			0.575034i	−0.957776	+	0.287517i	$0.907170\pi$
$984$	−0.120638	+	0.208951i	−0.00384580	+	0.00666113i
$985$	13.4925	+	13.9947i	0.429908	+	0.445908i
$986$	11.5103	+	19.9364i	0.366561	+	0.634903i
$987$			1.80098i			0.0573260i
$988$	0.0659135	+	0.429944i	0.00209699	+	0.0136783i
$989$	−9.94214			−0.316142
$990$	18.9647	+	19.6705i	0.602736	+	0.625168i
$991$	−5.81658	−	10.0746i	−0.184770	−	0.320031i	0.758729	−	0.651406i	$-0.225821\pi$
$991$	−5.81658	−	10.0746i	−0.184770	−	0.320031i	−0.943499	+	0.331376i	$0.892487\pi$
$992$	−8.37188	−	4.83351i	−0.265807	−	0.153464i
$993$		−	0.383656i		−	0.0121750i
$994$	−2.90215	+	5.02667i	−0.0920506	+	0.159436i
$995$	−46.2398	−	13.2998i	−1.46590	−	0.421631i
$996$	0.191828			0.00607830
$997$	−24.9977	−	14.4324i	−0.791684	−	0.457079i	0.0488712	−	0.998805i	$-0.484438\pi$
$997$	−24.9977	−	14.4324i	−0.791684	−	0.457079i	−0.840555	+	0.541726i	$0.817771\pi$
$998$	−8.29581	+	4.78959i	−0.262599	+	0.151612i
$999$	−10.7093	−	18.5490i	−0.338826	−	0.586865i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.n.a.29.5	yes	12
3.2	odd	2		1170.2.bp.h.289.2		12
4.3	odd	2		1040.2.dh.b.289.3		12
5.2	odd	4		650.2.e.k.601.2		6
5.3	odd	4		650.2.e.j.601.2		6
5.4	even	2	inner	130.2.n.a.29.2	yes	12
13.2	odd	12		1690.2.c.c.1689.4		6
13.3	even	3		1690.2.b.c.339.5		6
13.9	even	3	inner	130.2.n.a.9.2	✓	12
13.10	even	6		1690.2.b.b.339.2		6
13.11	odd	12		1690.2.c.b.1689.4		6
15.14	odd	2		1170.2.bp.h.289.5		12
20.19	odd	2		1040.2.dh.b.289.4		12
39.35	odd	6		1170.2.bp.h.919.5		12
52.35	odd	6		1040.2.dh.b.529.4		12
65.3	odd	12		8450.2.a.cb.1.2		3
65.9	even	6	inner	130.2.n.a.9.5	yes	12
65.22	odd	12		650.2.e.k.451.2		6
65.23	odd	12		8450.2.a.bt.1.2		3
65.24	odd	12		1690.2.c.c.1689.3		6
65.29	even	6		1690.2.b.c.339.2		6
65.42	odd	12		8450.2.a.bu.1.2		3
65.48	odd	12		650.2.e.j.451.2		6
65.49	even	6		1690.2.b.b.339.5		6
65.54	odd	12		1690.2.c.b.1689.3		6
65.62	odd	12		8450.2.a.ca.1.2		3
195.74	odd	6		1170.2.bp.h.919.2		12
260.139	odd	6		1040.2.dh.b.529.3		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.n.a.9.2	✓	12	13.9	even	3	inner
130.2.n.a.9.5	yes	12	65.9	even	6	inner
130.2.n.a.29.2	yes	12	5.4	even	2	inner
130.2.n.a.29.5	yes	12	1.1	even	1	trivial
650.2.e.j.451.2		6	65.48	odd	12
650.2.e.j.601.2		6	5.3	odd	4
650.2.e.k.451.2		6	65.22	odd	12
650.2.e.k.601.2		6	5.2	odd	4
1040.2.dh.b.289.3		12	4.3	odd	2
1040.2.dh.b.289.4		12	20.19	odd	2
1040.2.dh.b.529.3		12	260.139	odd	6
1040.2.dh.b.529.4		12	52.35	odd	6
1170.2.bp.h.289.2		12	3.2	odd	2
1170.2.bp.h.289.5		12	15.14	odd	2
1170.2.bp.h.919.2		12	195.74	odd	6
1170.2.bp.h.919.5		12	39.35	odd	6
1690.2.b.b.339.2		6	13.10	even	6
1690.2.b.b.339.5		6	65.49	even	6
1690.2.b.c.339.2		6	65.29	even	6
1690.2.b.c.339.5		6	13.3	even	3
1690.2.c.b.1689.3		6	65.54	odd	12
1690.2.c.b.1689.4		6	13.11	odd	12
1690.2.c.c.1689.3		6	65.24	odd	12
1690.2.c.c.1689.4		6	13.2	odd	12
8450.2.a.bt.1.2		3	65.23	odd	12
8450.2.a.bu.1.2		3	65.42	odd	12
8450.2.a.ca.1.2		3	65.62	odd	12
8450.2.a.cb.1.2		3	65.3	odd	12

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:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.866025 - 0.500000i) q^{2} +(0.466951 - 0.269594i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.539189 - 2.17009i) q^{5} +(0.269594 - 0.466951i) q^{6} +(-0.614250 - 0.354638i) q^{7} -1.00000i q^{8} +(-1.35464 + 2.34630i) q^{9} +O(q^{10})\)	\(q+(0.866025 - 0.500000i) q^{2} +(0.466951 - 0.269594i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.539189 - 2.17009i) q^{5} +(0.269594 - 0.466951i) q^{6} +(-0.614250 - 0.354638i) q^{7} -1.00000i q^{8} +(-1.35464 + 2.34630i) q^{9} +(-1.55199 - 1.60976i) q^{10} +(2.25513 + 3.90600i) q^{11} -0.539189i q^{12} +(3.35963 + 1.30878i) q^{13} -0.709275 q^{14} +(-0.836818 - 0.867962i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.74538 - 1.58504i) q^{17} +2.70928i q^{18} +(-0.0603191 + 0.104476i) q^{19} +(-2.14894 - 0.618092i) q^{20} -0.382433 q^{21} +(3.90600 + 2.25513i) q^{22} +(-4.30507 + 2.48554i) q^{23} +(-0.269594 - 0.466951i) q^{24} +(-4.41855 + 2.34017i) q^{25} +(3.56391 - 0.546373i) q^{26} +3.07838i q^{27} +(-0.614250 + 0.354638i) q^{28} +(-3.63090 - 6.28890i) q^{29} +(-1.15869 - 0.333268i) q^{30} +9.66701 q^{31} +(-0.866025 - 0.500000i) q^{32} +(2.10607 + 1.21594i) q^{33} -3.17009 q^{34} +(-0.438397 + 1.52419i) q^{35} +(1.35464 + 2.34630i) q^{36} +(-6.02558 + 3.47887i) q^{37} +0.120638i q^{38} +(1.92162 - 0.294598i) q^{39} +(-2.17009 + 0.539189i) q^{40} +(-0.223740 - 0.387529i) q^{41} +(-0.331197 + 0.191217i) q^{42} +(1.73205 + 1.00000i) q^{43} +4.51026 q^{44} +(5.82208 + 1.67458i) q^{45} +(-2.48554 + 4.30507i) q^{46} -4.70928i q^{47} +(-0.466951 - 0.269594i) q^{48} +(-3.24846 - 5.62651i) q^{49} +(-2.65649 + 4.23592i) q^{50} -1.70928 q^{51} +(2.81325 - 2.25513i) q^{52} -9.58864i q^{53} +(1.53919 + 2.66595i) q^{54} +(7.26042 - 6.99990i) q^{55} +(-0.354638 + 0.614250i) q^{56} +0.0650468i q^{57} +(-6.28890 - 3.63090i) q^{58} +(-2.87936 + 4.98720i) q^{59} +(-1.17009 + 0.290725i) q^{60} +(-3.53139 + 6.11655i) q^{61} +(8.37188 - 4.83351i) q^{62} +(1.66417 - 0.960811i) q^{63} -1.00000 q^{64} +(1.02870 - 7.99636i) q^{65} +2.43188 q^{66} +(-2.53020 + 1.46081i) q^{67} +(-2.74538 + 1.58504i) q^{68} +(-1.34017 + 2.32125i) q^{69} +(0.382433 + 1.53919i) q^{70} +(4.09171 - 7.08705i) q^{71} +(2.34630 + 1.35464i) q^{72} -6.74539i q^{73} +(-3.47887 + 6.02558i) q^{74} +(-1.43235 + 2.28396i) q^{75} +(0.0603191 + 0.104476i) q^{76} -3.19902i q^{77} +(1.51687 - 1.21594i) q^{78} +16.0072 q^{79} +(-1.60976 + 1.55199i) q^{80} +(-3.23400 - 5.60145i) q^{81} +(-0.387529 - 0.223740i) q^{82} +0.355771i q^{83} +(-0.191217 + 0.331197i) q^{84} +(-1.95941 + 6.81234i) q^{85} +2.00000 q^{86} +(-3.39090 - 1.95774i) q^{87} +(3.90600 - 2.25513i) q^{88} +(1.81545 + 3.14445i) q^{89} +(5.87936 - 1.46081i) q^{90} +(-1.59951 - 1.99537i) q^{91} +4.97107i q^{92} +(4.51402 - 2.60617i) q^{93} +(-2.35464 - 4.07835i) q^{94} +(0.259245 + 0.0745655i) q^{95} -0.539189 q^{96} +(6.84878 + 3.95415i) q^{97} +(-5.62651 - 3.24846i) q^{98} -12.2195 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{4} - 2 q^{9}+O(q^{10}) \) 12 * q + 6 * q^4 - 2 * q^9	\( 12 q + 6 q^{4} - 2 q^{9} - 2 q^{10} - 6 q^{11} + 20 q^{14} + 4 q^{15} - 6 q^{16} - 26 q^{19} - 24 q^{21} + 4 q^{25} - 28 q^{29} - 16 q^{30} + 24 q^{31} - 16 q^{34} - 6 q^{35} + 2 q^{36} + 36 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{44} + 12 q^{45} - 4 q^{49} - 8 q^{50} + 8 q^{51} + 12 q^{54} + 12 q^{55} + 10 q^{56} + 16 q^{59} + 8 q^{60} - 8 q^{61} - 12 q^{64} - 10 q^{65} - 24 q^{66} + 28 q^{69} + 24 q^{70} + 40 q^{71} - 10 q^{74} - 8 q^{75} + 26 q^{76} + 56 q^{79} + 26 q^{81} - 12 q^{84} - 16 q^{85} + 24 q^{86} + 14 q^{89} + 20 q^{90} - 38 q^{91} - 14 q^{94} - 8 q^{95} - 52 q^{99}+O(q^{100}) \) 12 * q + 6 * q^4 - 2 * q^9 - 2 * q^10 - 6 * q^11 + 20 * q^14 + 4 * q^15 - 6 * q^16 - 26 * q^19 - 24 * q^21 + 4 * q^25 - 28 * q^29 - 16 * q^30 + 24 * q^31 - 16 * q^34 - 6 * q^35 + 2 * q^36 + 36 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^44 + 12 * q^45 - 4 * q^49 - 8 * q^50 + 8 * q^51 + 12 * q^54 + 12 * q^55 + 10 * q^56 + 16 * q^59 + 8 * q^60 - 8 * q^61 - 12 * q^64 - 10 * q^65 - 24 * q^66 + 28 * q^69 + 24 * q^70 + 40 * q^71 - 10 * q^74 - 8 * q^75 + 26 * q^76 + 56 * q^79 + 26 * q^81 - 12 * q^84 - 16 * q^85 + 24 * q^86 + 14 * q^89 + 20 * q^90 - 38 * q^91 - 14 * q^94 - 8 * q^95 - 52 * q^99

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