LMFDB - Embedded newform 147.2.o.b.101.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [147,2,Mod(5,147)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(147, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

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

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

chi := DirichletCharacter("147.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 147 = 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	147.o (of order $42$, degree $12$, 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:	$1.17380090971$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$16$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.5
Character	$\chi$	$=$	147.101
Dual form			147.2.o.b.131.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.56819 - 0.615471i) q^{2} +(-1.71134 + 0.267028i) q^{3} +(0.614325 + 0.570011i) q^{4} +(-2.65137 - 1.80767i) q^{5} +(2.84807 + 0.634530i) q^{6} +(2.29514 + 1.31619i) q^{7} +(0.849326 + 1.76364i) q^{8} +(2.85739 - 0.913953i) q^{9} +O(q^{10})$	\(q+(-1.56819 - 0.615471i) q^{2} +(-1.71134 + 0.267028i) q^{3} +(0.614325 + 0.570011i) q^{4} +(-2.65137 - 1.80767i) q^{5} +(2.84807 + 0.634530i) q^{6} +(2.29514 + 1.31619i) q^{7} +(0.849326 + 1.76364i) q^{8} +(2.85739 - 0.913953i) q^{9} +(3.04529 + 4.46662i) q^{10} +(0.541036 + 3.58954i) q^{11} +(-1.20353 - 0.811442i) q^{12} +(-4.31240 + 3.43903i) q^{13} +(-2.78914 - 3.47663i) q^{14} +(5.02010 + 2.38556i) q^{15} +(-0.371690 - 4.95986i) q^{16} +(4.48139 + 1.38232i) q^{17} +(-5.04346 - 0.325385i) q^{18} +(0.711342 - 0.410693i) q^{19} +(-0.598410 - 2.62181i) q^{20} +(-4.27923 - 1.63958i) q^{21} +(1.36081 - 5.96209i) q^{22} +(0.734239 + 2.38034i) q^{23} +(-1.92443 - 2.79141i) q^{24} +(1.93536 + 4.93123i) q^{25} +(8.87931 - 2.73890i) q^{26} +(-4.64593 + 2.32709i) q^{27} +(0.659720 + 2.11682i) q^{28} +(0.788916 - 0.180065i) q^{29} +(-6.40425 - 6.83074i) q^{30} +(-0.958230 - 0.553234i) q^{31} +(-1.31580 + 4.26573i) q^{32} +(-1.88441 - 5.99846i) q^{33} +(-6.17691 - 4.92592i) q^{34} +(-3.70601 - 7.63855i) q^{35} +(2.27633 + 1.06728i) q^{36} +(-6.79657 + 6.30630i) q^{37} +(-1.36829 + 0.206237i) q^{38} +(6.46169 - 7.03689i) q^{39} +(0.936213 - 6.21137i) q^{40} +(-6.13274 + 2.95337i) q^{41} +(5.70154 + 5.20492i) q^{42} +(6.79183 + 3.27077i) q^{43} +(-1.71370 + 2.51354i) q^{44} +(-9.22812 - 2.74200i) q^{45} +(0.313603 - 4.18475i) q^{46} +(-2.17345 + 5.53786i) q^{47} +(1.96051 + 8.38877i) q^{48} +(3.53530 + 6.04166i) q^{49} -8.92429i q^{50} +(-8.03831 - 1.16898i) q^{51} +(-4.60950 - 0.345434i) q^{52} +(-4.53538 + 4.88798i) q^{53} +(8.71798 - 0.789899i) q^{54} +(5.05422 - 10.4952i) q^{55} +(-0.371967 + 5.16567i) q^{56} +(-1.10768 + 0.892786i) q^{57} +(-1.34800 - 0.203178i) q^{58} +(9.54680 - 6.50889i) q^{59} +(1.72418 + 4.32702i) q^{60} +(2.17722 + 2.34649i) q^{61} +(1.16219 + 1.45734i) q^{62} +(7.76104 + 1.66322i) q^{63} +(-1.51332 + 1.89764i) q^{64} +(17.6504 - 1.32271i) q^{65} +(-0.736764 + 10.5666i) q^{66} +(-0.0184595 + 0.0319729i) q^{67} +(1.96509 + 3.40364i) q^{68} +(-1.89215 - 3.87752i) q^{69} +(1.11044 + 14.2597i) q^{70} +(1.83619 + 0.419099i) q^{71} +(4.03874 + 4.26318i) q^{72} +(-0.0286487 + 0.0112438i) q^{73} +(14.5397 - 5.70641i) q^{74} +(-4.62885 - 7.92223i) q^{75} +(0.671095 + 0.153173i) q^{76} +(-3.48276 + 8.95059i) q^{77} +(-14.4642 + 7.05823i) q^{78} +(-2.78927 - 4.83116i) q^{79} +(-7.98031 + 13.8223i) q^{80} +(7.32938 - 5.22305i) q^{81} +(11.4350 - 0.856938i) q^{82} +(3.58517 - 4.49566i) q^{83} +(-1.69426 - 3.44644i) q^{84} +(-9.38301 - 11.7659i) q^{85} +(-8.63784 - 9.30938i) q^{86} +(-1.30202 + 0.518816i) q^{87} +(-5.87115 + 4.00288i) q^{88} +(-11.3571 - 1.71181i) q^{89} +(12.7839 + 9.97963i) q^{90} +(-14.4240 + 2.21710i) q^{91} +(-0.905760 + 1.88083i) q^{92} +(1.78759 + 0.690899i) q^{93} +(6.81678 - 7.34674i) q^{94} +(-2.62843 - 0.196973i) q^{95} +(1.11272 - 7.65148i) q^{96} +6.56063i q^{97} +(-1.82557 - 11.6504i) q^{98} +(4.82663 + 9.76224i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9}+O(q^{10}) $ 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9	$ 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27} - 70 q^{28} - q^{30} - 42 q^{31} - 14 q^{33} + 28 q^{34} + 10 q^{36} + 46 q^{37} + 51 q^{39} + 112 q^{40} - 28 q^{42} - 36 q^{43} - 35 q^{45} + 148 q^{46} + 28 q^{49} - 20 q^{51} - 28 q^{52} - 14 q^{54} + 182 q^{55} + 2 q^{57} + 126 q^{58} - 132 q^{60} - 168 q^{61} - 119 q^{63} - 4 q^{64} - 42 q^{66} - 26 q^{67} + 70 q^{69} + 28 q^{70} + 6 q^{72} - 28 q^{73} - 140 q^{75} - 252 q^{76} + 36 q^{78} - 10 q^{79} + 134 q^{81} + 42 q^{82} + 56 q^{84} - 76 q^{85} + 98 q^{87} - 20 q^{88} + 175 q^{90} + 178 q^{93} + 322 q^{96} - 136 q^{99}+O(q^{100}) $ 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9 - 28 * q^10 + 21 * q^12 - 28 * q^13 - 10 * q^15 - 20 * q^16 - 3 * q^18 - 42 * q^19 - 14 * q^21 - 34 * q^22 - 14 * q^24 - 16 * q^25 + 7 * q^27 - 70 * q^28 - q^30 - 42 * q^31 - 14 * q^33 + 28 * q^34 + 10 * q^36 + 46 * q^37 + 51 * q^39 + 112 * q^40 - 28 * q^42 - 36 * q^43 - 35 * q^45 + 148 * q^46 + 28 * q^49 - 20 * q^51 - 28 * q^52 - 14 * q^54 + 182 * q^55 + 2 * q^57 + 126 * q^58 - 132 * q^60 - 168 * q^61 - 119 * q^63 - 4 * q^64 - 42 * q^66 - 26 * q^67 + 70 * q^69 + 28 * q^70 + 6 * q^72 - 28 * q^73 - 140 * q^75 - 252 * q^76 + 36 * q^78 - 10 * q^79 + 134 * q^81 + 42 * q^82 + 56 * q^84 - 76 * q^85 + 98 * q^87 - 20 * q^88 + 175 * q^90 + 178 * q^93 + 322 * q^96 - 136 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$.

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

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 $

$2$	−1.56819	−	0.615471i	−1.10888	−	0.435204i	−0.260972	−	0.965346i	$-0.584043\pi$
$2$	−1.56819	−	0.615471i	−1.10888	−	0.435204i	−0.847909	+	0.530143i	$0.822138\pi$
$3$	−1.71134	+	0.267028i	−0.988045	+	0.154169i
$3$	−1.71134	+	0.267028i	−0.988045	+	0.154169i
$4$	0.614325	+	0.570011i	0.307163	+	0.285005i
$5$	−2.65137	−	1.80767i	−1.18573	−	0.808415i	−0.200504	−	0.979693i	$-0.564258\pi$
$5$	−2.65137	−	1.80767i	−1.18573	−	0.808415i	−0.985223	+	0.171278i	$0.945210\pi$
$6$	2.84807	+	0.634530i	1.16272	+	0.259046i
$7$	2.29514	+	1.31619i	0.867480	+	0.497472i
$7$	2.29514	+	1.31619i	0.867480	+	0.497472i
$8$	0.849326	+	1.76364i	0.300282	+	0.623542i
$9$	2.85739	−	0.913953i	0.952464	−	0.304651i
$10$	3.04529	+	4.46662i	0.963005	+	1.41247i
$11$	0.541036	+	3.58954i	0.163129	+	1.08229i	0.909181	+	0.416400i	$0.136709\pi$
$11$	0.541036	+	3.58954i	0.163129	+	1.08229i	−0.746053	+	0.665887i	$0.768053\pi$
$12$	−1.20353	−	0.811442i	−0.347429	−	0.234243i
$13$	−4.31240	+	3.43903i	−1.19605	+	0.953815i	−0.999643	−	0.0267087i	$-0.991497\pi$
$13$	−4.31240	+	3.43903i	−1.19605	+	0.953815i	−0.196402	+	0.980523i	$0.562926\pi$
$14$	−2.78914	−	3.47663i	−0.745430	−	0.929168i
$15$	5.02010	+	2.38556i	1.29618	+	0.615948i
$16$	−0.371690	−	4.95986i	−0.0929225	−	1.23997i
$17$	4.48139	+	1.38232i	1.08690	+	0.335263i	0.785895	−	0.618361i	$-0.212203\pi$
$17$	4.48139	+	1.38232i	1.08690	+	0.335263i	0.301002	+	0.953624i	$0.402679\pi$
$18$	−5.04346	−	0.325385i	−1.18875	−	0.0766940i
$19$	0.711342	−	0.410693i	0.163193	−	0.0942195i	−0.416179	−	0.909283i	$-0.636631\pi$
$19$	0.711342	−	0.410693i	0.163193	−	0.0942195i	0.579372	+	0.815063i	$0.303298\pi$
$20$	−0.598410	−	2.62181i	−0.133809	−	0.586254i
$21$	−4.27923	−	1.63958i	−0.933803	−	0.357786i
$22$	1.36081	−	5.96209i	0.290125	−	1.27112i
$23$	0.734239	+	2.38034i	0.153099	+	0.496336i	0.999335	−	0.0364734i	$-0.0116124\pi$
$23$	0.734239	+	2.38034i	0.153099	+	0.496336i	−0.846235	+	0.532810i	$0.821136\pi$
$24$	−1.92443	−	2.79141i	−0.392823	−	0.569793i
$25$	1.93536	+	4.93123i	0.387073	+	0.986246i
$26$	8.87931	−	2.73890i	1.74138	−	0.537143i
$27$	−4.64593	+	2.32709i	−0.894109	+	0.447849i
$28$	0.659720	+	2.11682i	0.124675	+	0.400041i
$29$	0.788916	−	0.180065i	0.146498	−	0.0334372i	−0.148643	−	0.988891i	$-0.547491\pi$
$29$	0.788916	−	0.180065i	0.146498	−	0.0334372i	0.295141	+	0.955454i	$0.404633\pi$
$30$	−6.40425	−	6.83074i	−1.16925	−	1.24712i
$31$	−0.958230	−	0.553234i	−0.172103	−	0.0993638i	0.411474	−	0.911421i	$-0.365014\pi$
$31$	−0.958230	−	0.553234i	−0.172103	−	0.0993638i	−0.583577	+	0.812058i	$0.698347\pi$
$32$	−1.31580	+	4.26573i	−0.232603	+	0.754082i
$33$	−1.88441	−	5.99846i	−0.328033	−	1.04420i
$34$	−6.17691	−	4.92592i	−1.05933	−	0.844788i
$35$	−3.70601	−	7.63855i	−0.626431	−	1.29115i
$36$	2.27633	+	1.06728i	0.379389	+	0.177880i
$37$	−6.79657	+	6.30630i	−1.11735	+	1.03675i	−0.118308	+	0.992977i	$0.537747\pi$
$37$	−6.79657	+	6.30630i	−1.11735	+	1.03675i	−0.999042	+	0.0437717i	$0.986063\pi$
$38$	−1.36829	+	0.206237i	−0.221966	+	0.0334560i
$39$	6.46169	−	7.03689i	1.03470	−	1.12680i
$40$	0.936213	−	6.21137i	0.148028	−	0.982103i
$41$	−6.13274	+	2.95337i	−0.957773	+	0.461239i	−0.846405	−	0.532540i	$-0.821238\pi$
$41$	−6.13274	+	2.95337i	−0.957773	+	0.461239i	−0.111368	+	0.993779i	$0.535523\pi$
$42$	5.70154	+	5.20492i	0.879767	+	0.803137i
$43$	6.79183	+	3.27077i	1.03574	+	0.498788i	0.872918	−	0.487867i	$-0.162225\pi$
$43$	6.79183	+	3.27077i	1.03574	+	0.498788i	0.162826	+	0.986655i	$0.447939\pi$
$44$	−1.71370	+	2.51354i	−0.258351	+	0.378931i
$45$	−9.22812	−	2.74200i	−1.37565	−	0.408753i
$46$	0.313603	−	4.18475i	0.0462383	−	0.617007i
$47$	−2.17345	+	5.53786i	−0.317030	+	0.807779i	0.680174	+	0.733051i	$0.261904\pi$
$47$	−2.17345	+	5.53786i	−0.317030	+	0.807779i	−0.997204	+	0.0747285i	$0.976191\pi$
$48$	1.96051	+	8.38877i	0.282975	+	1.21082i
$49$	3.53530	+	6.04166i	0.505043	+	0.863094i
$50$		−	8.92429i		−	1.26208i
$51$	−8.03831	−	1.16898i	−1.12559	−	0.163689i
$52$	−4.60950	−	0.345434i	−0.639223	−	0.0479031i
$53$	−4.53538	+	4.88798i	−0.622983	+	0.671415i	−0.963155	−	0.268948i	$-0.913324\pi$
$53$	−4.53538	+	4.88798i	−0.622983	+	0.671415i	0.340172	+	0.940363i	$0.389515\pi$
$54$	8.71798	−	0.789899i	1.18637	−	0.107492i
$55$	5.05422	−	10.4952i	0.681511	−	1.41517i
$56$	−0.371967	+	5.16567i	−0.0497062	+	0.690292i
$57$	−1.10768	+	0.892786i	−0.146716	+	0.118252i
$58$	−1.34800	−	0.203178i	−0.177001	−	0.0266786i
$59$	9.54680	−	6.50889i	1.24289	−	0.847386i	0.250211	−	0.968191i	$-0.419500\pi$
$59$	9.54680	−	6.50889i	1.24289	−	0.847386i	0.992676	+	0.120806i	$0.0385477\pi$
$60$	1.72418	+	4.32702i	0.222591	+	0.558616i
$61$	2.17722	+	2.34649i	0.278765	+	0.300437i	0.856878	−	0.515520i	$-0.172401\pi$
$61$	2.17722	+	2.34649i	0.278765	+	0.300437i	−0.578113	+	0.815957i	$0.696211\pi$
$62$	1.16219	+	1.45734i	0.147598	+	0.185082i
$63$	7.76104	+	1.66322i	0.977799	+	0.209546i
$64$	−1.51332	+	1.89764i	−0.189165	+	0.237205i
$65$	17.6504	−	1.32271i	2.18926	−	0.164063i
$66$	−0.736764	+	10.5666i	−0.0906894	+	1.30065i
$67$	−0.0184595	+	0.0319729i	−0.00225519	+	0.00390611i	−0.867151	−	0.498046i	$-0.834051\pi$
$67$	−0.0184595	+	0.0319729i	−0.00225519	+	0.00390611i	0.864896	+	0.501952i	$0.167385\pi$
$68$	1.96509	+	3.40364i	0.238302	+	0.412752i
$69$	−1.89215	−	3.87752i	−0.227789	−	0.466799i
$70$	1.11044	+	14.2597i	0.132724	+	1.70436i
$71$	1.83619	+	0.419099i	0.217916	+	0.0497379i	0.330085	−	0.943951i	$-0.392923\pi$
$71$	1.83619	+	0.419099i	0.217916	+	0.0497379i	−0.112169	+	0.993689i	$0.535780\pi$
$72$	4.03874	+	4.26318i	0.475971	+	0.502420i
$73$	−0.0286487	+	0.0112438i	−0.00335307	+	0.00131598i	−0.367017	−	0.930214i	$-0.619621\pi$
$73$	−0.0286487	+	0.0112438i	−0.00335307	+	0.00131598i	0.363664	+	0.931530i	$0.381526\pi$
$74$	14.5397	−	5.70641i	1.69020	−	0.663356i
$75$	−4.62885	−	7.92223i	−0.534494	−	0.914780i
$76$	0.671095	+	0.153173i	0.0769799	+	0.0175702i
$77$	−3.48276	+	8.95059i	−0.396897	+	1.02001i
$78$	−14.4642	+	7.05823i	−1.63775	+	0.799187i
$79$	−2.78927	−	4.83116i	−0.313817	−	0.543548i	0.665368	−	0.746516i	$-0.268275\pi$
$79$	−2.78927	−	4.83116i	−0.313817	−	0.543548i	−0.979185	+	0.202968i	$0.934941\pi$
$80$	−7.98031	+	13.8223i	−0.892226	+	1.54538i
$81$	7.32938	−	5.22305i	0.814375	−	0.580338i
$82$	11.4350	−	0.856938i	1.26279	−	0.0946330i
$83$	3.58517	−	4.49566i	0.393524	−	0.493463i	−0.545117	−	0.838360i	$-0.683515\pi$
$83$	3.58517	−	4.49566i	0.393524	−	0.493463i	0.938641	+	0.344897i	$0.112086\pi$
$84$	−1.69426	−	3.44644i	−0.184859	−	0.376038i
$85$	−9.38301	−	11.7659i	−1.01773	−	1.27619i
$86$	−8.63784	−	9.30938i	−0.931442	−	1.00386i
$87$	−1.30202	+	0.518816i	−0.139592	+	0.0556229i
$88$	−5.87115	+	4.00288i	−0.625867	+	0.426709i
$89$	−11.3571	−	1.71181i	−1.20385	−	0.181452i	−0.483680	−	0.875245i	$-0.660700\pi$
$89$	−11.3571	−	1.71181i	−1.20385	−	0.181452i	−0.720174	+	0.693793i	$0.755938\pi$
$90$	12.7839	+	9.97963i	1.34754	+	1.05195i
$91$	−14.4240	+	2.21710i	−1.51204	+	0.232416i
$92$	−0.905760	+	1.88083i	−0.0944320	+	0.196090i
$93$	1.78759	+	0.690899i	0.185364	+	0.0716429i
$94$	6.81678	−	7.34674i	0.703097	−	0.757758i
$95$	−2.62843	−	0.196973i	−0.269671	−	0.0202090i
$96$	1.11272	−	7.65148i	0.113567	−	0.780926i
$97$			6.56063i			0.666131i	0.942904	+	0.333066i	$0.108083\pi$
$97$			6.56063i			0.666131i	−0.942904	+	0.333066i	$0.891917\pi$
$98$	−1.82557	−	11.6504i	−0.184411	−	1.17687i
$99$	4.82663	+	9.76224i	0.485094	+	0.981142i
$100$	−1.62191	+	4.13256i	−0.162191	+	0.413256i
$101$	−0.557919	+	7.44491i	−0.0555150	+	0.740796i	0.898105	+	0.439782i	$0.144944\pi$
$101$	−0.557919	+	7.44491i	−0.0555150	+	0.740796i	−0.953620	+	0.301014i	$0.902675\pi$
$102$	11.8862	+	6.78053i	1.17691	+	0.671372i
$103$	−0.326837	+	0.479382i	−0.0322042	+	0.0472349i	−0.842003	−	0.539472i	$-0.818624\pi$
$103$	−0.326837	+	0.479382i	−0.0322042	+	0.0472349i	0.809799	+	0.586707i	$0.199576\pi$
$104$	−9.72785	−	4.68469i	−0.953895	−	0.459371i
$105$	8.38197	+	12.0826i	0.817996	+	1.17914i
$106$	10.1208	−	4.87391i	0.983016	−	0.473396i
$107$	1.79457	−	11.9062i	0.173487	−	1.15101i	−0.717357	−	0.696705i	$-0.754648\pi$
$107$	1.79457	−	11.9062i	0.173487	−	1.15101i	0.890845	−	0.454308i	$-0.150113\pi$
$108$	−4.18058	−	1.21864i	−0.402276	−	0.117263i
$109$	8.81313	−	1.32837i	0.844145	−	0.127234i	0.287289	−	0.957844i	$-0.407246\pi$
$109$	8.81313	−	1.32837i	0.844145	−	0.127234i	0.556855	+	0.830609i	$0.312008\pi$
$110$	−14.3855	+	13.3478i	−1.37160	+	1.27266i
$111$	9.94731	−	12.6071i	0.944157	−	1.19661i
$112$	5.67503	−	11.8728i	0.536240	−	1.12187i
$113$	−6.50491	−	5.18749i	−0.611930	−	0.487998i	0.267798	−	0.963475i	$-0.413704\pi$
$113$	−6.50491	−	5.18749i	−0.611930	−	0.487998i	−0.879728	+	0.475477i	$0.842275\pi$
$114$	2.28655	−	0.718314i	0.214155	−	0.0672763i
$115$	2.35614	−	7.63843i	0.219711	−	0.712287i
$116$	0.587290	+	0.339072i	0.0545285	+	0.0314821i
$117$	−9.17912	+	13.7680i	−0.848610	+	1.27285i
$118$	−18.9773	+	4.33144i	−1.74700	+	0.398741i
$119$	8.46600	+	9.07097i	0.776077	+	0.831535i
$120$	0.0564275	+	10.8798i	0.00515111	+	0.993183i
$121$	−2.08078	+	0.641835i	−0.189162	+	0.0583487i
$122$	−1.97011	−	5.01976i	−0.178366	−	0.454468i
$123$	9.70659	−	6.69185i	0.875214	−	0.603384i
$124$	−0.273315	−	0.886067i	−0.0245445	−	0.0795712i
$125$	0.212376	−	0.930480i	0.0189955	−	0.0832246i
$126$	−11.1472	−	7.38494i	−0.993067	−	0.657903i
$127$	0.360894	+	1.58118i	0.0320241	+	0.140307i	0.988413	−	0.151791i	$-0.0485039\pi$
$127$	0.360894	+	1.58118i	0.0320241	+	0.140307i	−0.956389	+	0.292098i	$0.905647\pi$
$128$	11.2731	−	6.50852i	0.996410	−	0.575278i
$129$	−12.4965	−	3.78380i	−1.10026	−	0.333145i
$130$	−28.4933	−	8.78903i	−2.49903	−	0.770849i
$131$	0.773365	+	10.3198i	0.0675692	+	0.901648i	0.923264	+	0.384167i	$0.125511\pi$
$131$	0.773365	+	10.3198i	0.0675692	+	0.901648i	−0.855694	+	0.517481i	$0.826870\pi$
$132$	2.26155	−	4.75914i	0.196843	−	0.414230i
$133$	2.17318	−	0.00633791i	0.188438	−	0.000549567i
$134$	0.0486265	−	0.0387784i	0.00420069	−	0.00334994i
$135$	16.5247	+	2.22834i	1.42222	+	0.191785i
$136$	1.36823	+	9.07761i	0.117325	+	0.778399i
$137$	−7.98153	−	11.7068i	−0.681908	−	1.00018i	−0.998664	−	0.0516683i	$-0.983546\pi$
$137$	−7.98153	−	11.7068i	−0.681908	−	1.00018i	0.316756	−	0.948507i	$-0.397406\pi$
$138$	0.580762	+	7.24528i	0.0494377	+	0.616759i
$139$	−2.99108	−	6.21105i	−0.253700	−	0.526814i	0.734754	−	0.678334i	$-0.237298\pi$
$139$	−2.99108	−	6.21105i	−0.253700	−	0.526814i	−0.988454	+	0.151520i	$0.951583\pi$
$140$	2.07736	−	6.80502i	0.175569	−	0.575129i
$141$	2.24075	−	10.0575i	0.188705	−	0.846998i
$142$	−2.62156	−	1.78735i	−0.219997	−	0.149991i
$143$	−14.6777	−	13.6189i	−1.22741	−	1.13887i
$144$	−5.59515	−	13.8326i	−0.466262	−	1.15271i
$145$	−2.41720	−	0.948682i	−0.200738	−	0.0787838i
$146$	0.0518469			0.00429088
$147$	−7.66340	−	9.39533i	−0.632067	−	0.774914i
$148$	−7.76996			−0.638687
$149$	1.19733	+	0.469918i	0.0980893	+	0.0384972i	0.413878	−	0.910332i	$-0.364174\pi$
$149$	1.19733	+	0.469918i	0.0980893	+	0.0384972i	−0.315789	+	0.948829i	$0.602269\pi$
$150$	2.38304	+	15.2725i	0.194574	+	1.24700i
$151$	−0.632570	−	0.586939i	−0.0514778	−	0.0477645i	0.654014	−	0.756482i	$-0.273084\pi$
$151$	−0.632570	−	0.586939i	−0.0514778	−	0.0477645i	−0.705492	+	0.708718i	$0.749274\pi$
$152$	1.32848	+	0.905741i	0.107754	+	0.0734653i
$153$	14.0685	−	0.145935i	1.13737	−	0.0117981i
$154$	10.9705	−	11.8927i	0.884025	−	0.958343i
$155$	1.54055	+	3.19899i	0.123740	+	0.256949i
$156$	7.98068	−	0.639710i	0.638966	−	0.0512178i
$157$	−8.61976	−	12.6429i	−0.687932	−	1.00901i	−0.998294	−	0.0583919i	$-0.981403\pi$
$157$	−8.61976	−	12.6429i	−0.687932	−	1.00901i	0.310362	−	0.950618i	$-0.399550\pi$
$158$	1.40068	+	9.29291i	0.111432	+	0.739304i
$159$	6.45637	−	9.57608i	0.512023	−	0.759433i
$160$	11.1997	−	8.93147i	0.885415	−	0.706095i
$161$	−1.44780	+	6.42961i	−0.114103	+	0.506724i
$162$	−14.7085	+	3.67973i	−1.15561	+	0.289107i
$163$	1.63031	+	21.7550i	0.127696	+	1.70398i	0.582041	+	0.813159i	$0.302254\pi$
$163$	1.63031	+	21.7550i	0.127696	+	1.70398i	−0.454345	+	0.890826i	$0.650127\pi$
$164$	−5.45095	−	1.68140i	−0.425648	−	0.131295i
$165$	−5.84700	+	19.3105i	−0.455188	+	1.50332i
$166$	−8.38920	+	4.84351i	−0.651128	+	0.375929i
$167$	1.42096	+	6.22561i	0.109957	+	0.481752i	0.999681	+	0.0252540i	$0.00803945\pi$
$167$	1.42096	+	6.22561i	0.109957	+	0.481752i	−0.889724	+	0.456498i	$0.849103\pi$
$168$	−0.742816	−	8.93957i	−0.0573095	−	0.689703i
$169$	3.87715	−	16.9869i	0.298242	−	1.30668i
$170$	7.47280	+	24.2262i	0.573138	+	1.85807i
$171$	1.65723	−	1.82365i	0.126731	−	0.139458i
$172$	2.30802	+	5.88073i	0.175985	+	0.448402i
$173$	8.72274	−	2.69061i	0.663177	−	0.204563i	0.0551486	−	0.998478i	$-0.482437\pi$
$173$	8.72274	−	2.69061i	0.663177	−	0.204563i	0.608029	+	0.793915i	$0.291961\pi$
$174$	2.36114	−	0.0122460i	0.178998	−	0.000928365i
$175$	−2.04850	+	13.8651i	−0.154852	+	1.04811i
$176$	17.6025	−	4.01766i	1.32684	−	0.302843i
$177$	−14.5998	+	13.6882i	−1.09739	+	1.02887i
$178$	16.7566	+	9.67445i	1.25596	+	0.725130i
$179$	4.58220	−	14.8551i	0.342490	−	1.11032i	−0.606518	−	0.795070i	$-0.707434\pi$
$179$	4.58220	−	14.8551i	0.342490	−	1.11032i	0.949007	−	0.315254i	$-0.102090\pi$
$180$	−4.10610	−	6.94461i	−0.306051	−	0.517621i
$181$	8.79767	+	7.01591i	0.653926	+	0.521489i	0.893313	−	0.449436i	$-0.148375\pi$
$181$	8.79767	+	7.01591i	0.653926	+	0.521489i	−0.239387	+	0.970924i	$0.576946\pi$
$182$	23.9841	+	5.40068i	1.77782	+	0.400325i
$183$	−4.35255	−	3.43426i	−0.321750	−	0.253868i
$184$	−3.57447	+	3.31662i	−0.263513	+	0.244505i
$185$	29.4199	−	4.43434i	2.16299	−	0.326019i
$186$	−2.37806	−	2.18367i	−0.174368	−	0.160115i
$187$	−2.53732	+	16.8340i	−0.185547	+	1.23102i
$188$	−4.49184	+	2.16316i	−0.327601	+	0.157764i
$189$	−13.7259	−	0.773920i	−0.998414	−	0.0562944i
$190$	4.00065	+	1.92661i	0.290238	+	0.139771i
$191$	−11.8778	+	17.4216i	−0.859450	+	1.26058i	0.104507	+	0.994524i	$0.466674\pi$
$191$	−11.8778	+	17.4216i	−0.859450	+	1.26058i	−0.963957	+	0.266058i	$0.914279\pi$
$192$	2.08309	−	3.65162i	0.150334	−	0.263533i
$193$	0.690353	−	9.21212i	0.0496927	−	0.663103i	−0.915626	−	0.402030i	$-0.868305\pi$
$193$	0.690353	−	9.21212i	0.0496927	−	0.663103i	0.965319	−	0.261073i	$-0.0840763\pi$
$194$	4.03788	−	10.2883i	0.289903	−	0.738660i
$195$	−29.8527	+	6.97677i	−2.13780	+	0.499617i
$196$	−1.27199	+	5.72670i	−0.0908562	+	0.409050i
$197$		−	3.85561i		−	0.274701i	−0.990523	−	0.137350i	$-0.956141\pi$
$197$		−	3.85561i		−	0.274701i	0.990523	−	0.137350i	$-0.0438586\pi$
$198$	−1.56071	−	18.2797i	−0.110915	−	1.29908i
$199$	15.0780	+	1.12994i	1.06885	+	0.0800991i	0.597516	−	0.801857i	$-0.296154\pi$
$199$	15.0780	+	1.12994i	1.06885	+	0.0800991i	0.471332	+	0.881956i	$0.343773\pi$
$200$	−7.05317	+	7.60151i	−0.498735	+	0.537508i
$201$	0.0230530	−	0.0596458i	0.00162603	−	0.00420709i
$202$	5.45705	−	11.3317i	0.383957	−	0.797294i
$203$	2.04767	+	0.625088i	0.143718	+	0.0438726i
$204$	−4.27181	−	5.30006i	−0.299087	−	0.371078i
$205$	21.5989	+	3.25551i	1.50853	+	0.227374i
$206$	0.807590	−	0.550606i	0.0562675	−	0.0383625i
$207$	4.27353	+	6.13052i	0.297031	+	0.426100i
$208$	18.6600	+	20.1107i	1.29384	+	1.39442i
$209$	1.85906	+	2.33119i	0.128594	+	0.161252i
$210$	−5.70808	−	24.1067i	−0.393895	−	1.66352i
$211$	−1.87090	+	2.34604i	−0.128798	+	0.161508i	−0.842049	−	0.539401i	$-0.818651\pi$
$211$	−1.87090	+	2.34604i	−0.128798	+	0.161508i	0.713251	+	0.700909i	$0.247222\pi$
$212$	−5.57240	+	0.417594i	−0.382714	+	0.0286805i
$213$	−3.25427	−	0.226907i	−0.222979	−	0.0155474i
$214$	−10.1421	+	17.5667i	−0.693302	+	1.20083i
$215$	−12.0951	−	20.9494i	−0.824882	−	1.42874i
$216$	−8.05007	−	6.21730i	−0.547738	−	0.423034i
$217$	−1.47111	−	2.53096i	−0.0998653	−	0.171813i
$218$	−14.6383	−	3.34109i	−0.991429	−	0.226287i
$219$	0.0460253	−	0.0268919i	0.00311010	−	0.00181719i
$220$	9.08732	−	3.56651i	0.612667	−	0.240454i
$221$	−24.0794	+	9.45047i	−1.61976	+	0.635707i
$222$	−23.3586	+	13.6481i	−1.56773	+	0.916002i
$223$	−14.6233	−	3.33767i	−0.979248	−	0.223507i	−0.297201	−	0.954815i	$-0.596053\pi$
$223$	−14.6233	−	3.33767i	−0.979248	−	0.223507i	−0.682047	+	0.731308i	$0.738910\pi$
$224$	−8.63445	+	8.05859i	−0.576913	+	0.538437i
$225$	10.0370	+	12.3216i	0.669134	+	0.821441i
$226$	7.00821	+	12.1386i	0.466179	+	0.807446i
$227$	−4.43828	+	7.68733i	−0.294579	+	0.510226i	−0.974887	−	0.222700i	$-0.928513\pi$
$227$	−4.43828	+	7.68733i	−0.294579	+	0.510226i	0.680308	+	0.732927i	$0.261846\pi$
$228$	−1.18938	−	0.0829305i	−0.0787683	−	0.00549221i
$229$	2.68231	−	0.201011i	0.177252	−	0.0132832i	0.0141915	−	0.999899i	$-0.495483\pi$
$229$	2.68231	−	0.201011i	0.177252	−	0.0132832i	0.163060	+	0.986616i	$0.447864\pi$
$230$	−8.39612	+	10.5284i	−0.553624	+	0.694222i
$231$	3.57013	−	16.2475i	0.234898	−	1.06901i
$232$	0.987617	+	1.23843i	0.0648402	+	0.0813071i
$233$	−11.5784	−	12.4785i	−0.758524	−	0.817494i	0.229253	−	0.973367i	$-0.426372\pi$
$233$	−11.5784	−	12.4785i	−0.758524	−	0.817494i	−0.987777	+	0.155872i	$0.950181\pi$
$234$	22.8684	−	15.9414i	1.49496	−	1.04212i
$235$	15.7732	−	10.7540i	1.02893	−	0.701514i
$236$	9.57498	+	1.44320i	0.623278	+	0.0939441i
$237$	6.06346	+	7.52296i	0.393864	+	0.488669i
$238$	−7.69341	−	19.4356i	−0.498690	−	1.25982i
$239$	−4.82059	+	10.0101i	−0.311818	+	0.647497i	−0.996701	−	0.0811559i	$-0.974139\pi$
$239$	−4.82059	+	10.0101i	−0.311818	+	0.647497i	0.684883	+	0.728653i	$0.259853\pi$
$240$	9.96611	−	25.7857i	0.643310	−	1.66446i
$241$	−2.14013	+	2.30651i	−0.137858	+	0.148575i	−0.798207	−	0.602384i	$-0.794218\pi$
$241$	−2.14013	+	2.30651i	−0.137858	+	0.148575i	0.660349	+	0.750959i	$0.270408\pi$
$242$	3.65810	+	0.274136i	0.235151	+	0.0176222i
$243$	−11.1484	+	10.8956i	−0.715169	+	0.698951i
$244$			2.68255i			0.171732i
$245$	1.54796	−	22.4093i	0.0988954	−	1.43168i
$246$	−19.3405	+	4.51999i	−1.23310	+	0.288184i
$247$	−1.65521	+	4.21740i	−0.105318	+	0.268347i
$248$	0.161858	−	2.15985i	0.0102780	−	0.137151i
$249$	−4.93499	+	8.65097i	−0.312742	+	0.548233i
$250$	−0.905730	+	1.32846i	−0.0572834	+	0.0840193i
$251$	23.9585	+	11.5378i	1.51225	+	0.728261i	0.992057	−	0.125787i	$-0.0401457\pi$
$251$	23.9585	+	11.5378i	1.51225	+	0.728261i	0.520193	+	0.854049i	$0.325860\pi$
$252$	3.81975	+	5.44563i	0.240622	+	0.343043i
$253$	−8.14709	+	3.92343i	−0.512203	+	0.246664i
$254$	0.407218	−	2.70172i	0.0255511	−	0.169521i
$255$	19.1994	+	17.6300i	1.20231	+	1.10403i
$256$	−16.8841	+	2.54487i	−1.05525	+	0.159054i
$257$	21.5969	−	20.0390i	1.34718	−	1.25000i	0.405244	−	0.914209i	$-0.367187\pi$
$257$	21.5969	−	20.0390i	1.34718	−	1.25000i	0.941936	−	0.335792i	$-0.109004\pi$
$258$	17.2682	+	13.6250i	1.07507	+	0.848255i
$259$	−23.8993	+	5.52825i	−1.48503	+	0.343508i
$260$	11.5970	+	9.24834i	0.719218	+	0.573558i
$261$	2.08967	−	1.23555i	0.129347	−	0.0764785i
$262$	5.13877	−	16.6595i	0.317474	−	1.02923i
$263$	20.2016	+	11.6634i	1.24568	+	0.719195i	0.970245	−	0.242124i	$-0.0778441\pi$
$263$	20.2016	+	11.6634i	1.24568	+	0.719195i	0.275437	+	0.961319i	$0.411177\pi$
$264$	8.97868	−	8.41807i	0.552599	−	0.518097i
$265$	20.8608	−	4.76135i	1.28147	−	0.292487i
$266$	−3.41186	−	1.32759i	−0.209195	−	0.0813996i
$267$	19.8931	−	0.103175i	1.21744	−	0.00631419i
$268$	−0.0295650	+	0.00911961i	−0.00180597	+	0.000557069i
$269$	1.01672	+	2.59056i	0.0619904	+	0.157949i	0.958513	−	0.285049i	$-0.0920100\pi$
$269$	1.01672	+	2.59056i	0.0619904	+	0.157949i	−0.896522	+	0.442998i	$0.853915\pi$
$270$	−24.5424	−	13.6649i	−1.49360	−	0.831621i
$271$	1.78745	+	5.79476i	0.108580	+	0.352007i	0.993514	−	0.113709i	$-0.0362731\pi$
$271$	1.78745	+	5.79476i	0.108580	+	0.352007i	−0.884934	+	0.465716i	$0.845797\pi$
$272$	5.19045	−	22.7409i	0.314717	−	1.37887i
$273$	24.0923	−	7.64583i	1.45813	−	0.462747i
$274$	5.31142	+	23.2709i	0.320875	+	1.40584i
$275$	−16.6537	+	9.61504i	−1.00426	+	0.579809i
$276$	1.04783	−	3.46061i	0.0630721	−	0.208304i
$277$	−21.1249	−	6.51618i	−1.26927	−	0.391519i	−0.414276	−	0.910151i	$-0.635965\pi$
$277$	−21.1249	−	6.51618i	−1.26927	−	0.391519i	−0.854998	+	0.518632i	$0.826442\pi$
$278$	0.867880	+	11.5810i	0.0520520	+	0.694585i
$279$	−3.24367	−	0.705030i	−0.194193	−	0.0422090i
$280$	10.3241	−	13.0237i	0.616981	−	0.778315i
$281$	−9.51959	+	7.59162i	−0.567891	+	0.452878i	−0.864863	−	0.502008i	$-0.832595\pi$
$281$	−9.51959	+	7.59162i	−0.567891	+	0.452878i	0.296972	+	0.954886i	$0.404023\pi$
$282$	−9.70406	+	14.3931i	−0.577869	+	0.857095i
$283$	−0.250059	−	1.65903i	−0.0148645	−	0.0986193i	0.980168	−	0.198167i	$-0.0634987\pi$
$283$	−0.250059	−	1.65903i	−0.0148645	−	0.0986193i	−0.995033	+	0.0995472i	$0.968261\pi$
$284$	0.889129	+	1.30411i	0.0527601	+	0.0773848i
$285$	4.55074	−	0.364775i	0.269562	−	0.0216074i
$286$	14.6354	+	30.3908i	0.865411	+	1.79705i
$287$	−17.9627	−	1.29345i	−1.06030	−	0.0763497i
$288$	0.138912	+	13.3914i	0.00818548	+	0.789098i
$289$	4.12595	+	2.81303i	0.242703	+	0.165472i
$290$	3.20676	+	2.97544i	0.188307	+	0.174724i
$291$	−1.75187	−	11.2275i	−0.102697	−	0.658167i
$292$	−0.0240087	−	0.00942271i	−0.00140500	−	0.000551422i
$293$	18.1546			1.06060			0.530302	−	0.847809i	$-0.322078\pi$
$293$	18.1546			1.06060			0.530302	+	0.847809i	$0.322078\pi$
$294$	6.23516	+	19.4503i	0.363642	+	1.13436i
$295$	−37.0780			−2.15876
$296$	−16.8946	−	6.63063i	−0.981976	−	0.385397i
$297$	−10.8668	−	15.4177i	−0.630556	−	0.894626i
$298$	−1.58843	−	1.47385i	−0.0920152	−	0.0853777i
$299$	−11.3524	−	7.73994i	−0.656527	−	0.447612i
$300$	1.67214	−	7.50532i	0.0965408	−	0.433320i
$301$	11.2832	+	16.4462i	0.650354	+	0.947942i
$302$	0.630749	+	1.30976i	0.0362955	+	0.0753684i
$303$	−1.03321	−	12.8898i	−0.0593563	−	0.740498i
$304$	−2.30138	−	3.37551i	−0.131993	−	0.193599i
$305$	−1.53094	−	10.1571i	−0.0876611	−	0.581593i
$306$	−22.1519	−	8.42987i	−1.26634	−	0.481904i
$307$	15.8808	−	12.6645i	0.906364	−	0.722801i	−0.0548824	−	0.998493i	$-0.517478\pi$
$307$	15.8808	−	12.6645i	0.906364	−	0.722801i	0.961246	+	0.275692i	$0.0889070\pi$
$308$	−7.24148	+	3.51337i	−0.412622	+	0.200193i
$309$	0.431322	−	0.907662i	0.0245371	−	0.0516351i
$310$	−0.447000	−	5.96480i	−0.0253879	−	0.338778i
$311$	−3.77949	−	1.16582i	−0.214315	−	0.0661075i	0.185738	−	0.982599i	$-0.440532\pi$
$311$	−3.77949	−	1.16582i	−0.214315	−	0.0661075i	−0.400054	+	0.916492i	$0.631008\pi$
$312$	17.8986	+	5.41950i	1.01331	+	0.306819i
$313$	22.5790	−	13.0360i	1.27624	−	0.736836i	0.300084	−	0.953913i	$-0.402985\pi$
$313$	22.5790	−	13.0360i	1.27624	−	0.736836i	0.976155	+	0.217076i	$0.0696521\pi$
$314$	5.73614	+	25.1317i	0.323709	+	1.41826i
$315$	−17.5708	−	18.4392i	−0.990003	−	1.03893i
$316$	1.04029	−	4.55782i	0.0585210	−	0.256397i
$317$	−7.46957	−	24.2157i	−0.419533	−	1.36009i	−0.881076	−	0.472974i	$-0.843180\pi$
$317$	−7.46957	−	24.2157i	−0.419533	−	1.36009i	0.461543	−	0.887118i	$-0.347296\pi$
$318$	−16.0186	+	11.0435i	−0.898281	+	0.619286i
$319$	1.07318	+	2.73442i	0.0600867	+	0.153098i
$320$	7.44268	−	2.29576i	0.416058	−	0.128337i
$321$	0.108162	+	20.8548i	0.00603704	+	1.16400i
$322$	6.22767	−	9.19180i	0.347055	−	0.512239i
$323$	3.75551	−	0.857171i	0.208962	−	0.0476942i
$324$	7.47982	+	0.969174i	0.415545	+	0.0538430i
$325$	−25.3047	−	14.6097i	−1.40365	−	0.810399i
$326$	10.8329	−	35.1195i	0.599981	−	1.94509i
$327$	−14.7276	+	4.62664i	−0.814437	+	0.255854i
$328$	−10.4174	−	8.30759i	−0.575204	−	0.458710i
$329$	−12.2772	+	9.84947i	−0.676865	+	0.543019i
$330$	21.0543	−	26.6840i	1.15900	−	1.46891i
$331$	9.46461	−	8.78188i	0.520222	−	0.482696i	−0.375803	−	0.926700i	$-0.622633\pi$
$331$	9.46461	−	8.78188i	0.520222	−	0.482696i	0.896025	+	0.444004i	$0.146442\pi$
$332$	4.76504	−	0.718214i	0.261515	−	0.0394171i
$333$	−13.6568	+	24.2313i	−0.748388	+	1.32787i
$334$	1.60335	−	10.6375i	0.0877314	−	0.582060i
$335$	0.106739	−	0.0514030i	0.00583180	−	0.00280845i
$336$	−6.54156	+	21.8338i	−0.356871	+	1.19113i
$337$	5.12730	+	2.46918i	0.279302	+	0.134505i	0.568291	−	0.822828i	$-0.307605\pi$
$337$	5.12730	+	2.46918i	0.279302	+	0.134505i	−0.288989	+	0.957332i	$0.593319\pi$
$338$	−16.5351	+	24.2525i	−0.899389	+	1.31916i
$339$	12.5173	+	7.14058i	0.679848	+	0.387823i
$340$	0.942480	−	12.5765i	0.0511132	−	0.682058i
$341$	1.46742	−	3.73892i	0.0794652	−	0.202474i
$342$	−3.72126	+	1.83985i	−0.201222	+	0.0994880i
$343$	0.162037	+	18.5196i	0.00874915	+	0.999962i
$344$			14.7563i			0.795607i
$345$	−1.99250	+	13.7011i	−0.107272	+	0.737644i
$346$	−15.3349	−	1.14919i	−0.824411	−	0.0617811i
$347$	−0.127408	+	0.137313i	−0.00683963	+	0.00737137i	−0.736462	−	0.676478i	$-0.763505\pi$
$347$	−0.127408	+	0.137313i	−0.00683963	+	0.00737137i	0.729623	+	0.683850i	$0.239696\pi$
$348$	−1.09560	−	0.423446i	−0.0587301	−	0.0226991i
$349$	4.46847	−	9.27886i	0.239191	−	0.496686i	−0.746470	−	0.665419i	$-0.768253\pi$
$349$	4.46847	−	9.27886i	0.239191	−	0.496686i	0.985662	+	0.168732i	$0.0539674\pi$
$350$	11.7460	−	20.4825i	0.627852	−	1.09483i
$351$	12.0322	−	26.0128i	0.642230	−	1.38846i
$352$	−16.0239	−	2.41522i	−0.854077	−	0.128731i
$353$	−26.2703	+	17.9108i	−1.39823	+	0.953296i	−0.398887	+	0.917000i	$0.630604\pi$
$353$	−26.2703	+	17.9108i	−1.39823	+	0.953296i	−0.999341	+	0.0362959i	$0.988444\pi$
$354$	31.3200	−	12.4800i	1.66464	−	0.663307i
$355$	−4.11082	−	4.43042i	−0.218180	−	0.235142i
$356$	−6.00123	−	7.52530i	−0.318065	−	0.398840i
$357$	−16.9104	−	13.2629i	−0.894995	−	0.701946i
$358$	−16.3287	+	20.4755i	−0.862997	+	1.08216i
$359$	27.6645	−	2.07317i	1.46008	−	0.109418i	0.679132	−	0.734016i	$-0.262356\pi$
$359$	27.6645	−	2.07317i	1.46008	−	0.109418i	0.780947	+	0.624598i	$0.214737\pi$
$360$	−3.00177	−	18.6040i	−0.158207	−	0.980515i
$361$	−9.16266	+	15.8702i	−0.482245	+	0.835273i
$362$	−9.47837	−	16.4170i	−0.498172	−	0.862860i
$363$	3.38954	−	1.65403i	0.177905	−	0.0868139i
$364$	−10.1248	−	6.85979i	−0.530683	−	0.359551i
$365$	0.0962831	+	0.0219760i	0.00503969	+	0.00115028i
$366$	4.71195	+	8.06446i	0.246298	+	0.421536i
$367$	26.5962	−	10.4382i	1.38831	−	0.544872i	0.450736	−	0.892657i	$-0.351162\pi$
$367$	26.5962	−	10.4382i	1.38831	−	0.544872i	0.937574	+	0.347786i	$0.113066\pi$
$368$	11.5333	−	4.52647i	0.601213	−	0.235959i
$369$	−14.8244	+	14.0440i	−0.771727	+	0.731100i
$370$	−48.8653	−	11.1532i	−2.54039	−	0.579827i
$371$	−16.8428	+	5.24916i	−0.874435	+	0.272523i
$372$	0.704341	+	1.44338i	0.0365184	+	0.0748359i
$373$	−18.6766	−	32.3488i	−0.967038	−	1.67496i	−0.704036	−	0.710165i	$-0.748621\pi$
$373$	−18.6766	−	32.3488i	−0.967038	−	1.67496i	−0.263003	−	0.964795i	$-0.584713\pi$
$374$	14.3399	−	24.8374i	0.741496	−	1.28431i
$375$	−0.114984	+	1.64908i	−0.00593774	+	0.0851581i
$376$	−11.6128	+	0.870257i	−0.598883	+	0.0448801i
$377$	−2.78288	+	3.48962i	−0.143325	+	0.179724i
$378$	21.0486	+	9.66157i	1.08262	+	0.496937i
$379$	10.3589	+	12.9896i	0.532100	+	0.667232i	0.973129	−	0.230261i	$-0.0739580\pi$
$379$	10.3589	+	12.9896i	0.532100	+	0.667232i	−0.441029	+	0.897493i	$0.645387\pi$
$380$	−1.50243	−	1.61924i	−0.0770732	−	0.0830651i
$381$	−1.03983	−	2.60957i	−0.0532722	−	0.133692i
$382$	29.3492	−	20.0100i	1.50164	−	1.02380i
$383$	13.5679	+	2.04503i	0.693285	+	0.104496i	0.486227	−	0.873833i	$-0.338373\pi$
$383$	13.5679	+	2.04503i	0.693285	+	0.104496i	0.207059	+	0.978329i	$0.433611\pi$
$384$	−17.5542	+	14.1486i	−0.895808	+	0.722015i
$385$	25.4138	−	17.4356i	1.29521	−	0.888601i
$386$	−6.75240	+	14.0215i	−0.343688	+	0.713676i
$387$	22.3962	+	3.13846i	1.13847	+	0.159537i
$388$	−3.73963	+	4.03036i	−0.189851	+	0.204611i
$389$	4.43578	+	0.332416i	0.224903	+	0.0168541i	0.186705	−	0.982416i	$-0.440219\pi$
$389$	4.43578	+	0.332416i	0.224903	+	0.0168541i	0.0381981	+	0.999270i	$0.487838\pi$
$390$	51.1088	+	7.43253i	2.58800	+	0.376361i
$391$			11.6822i			0.590794i
$392$	−7.65271	+	11.3663i	−0.386520	+	0.574087i
$393$	−4.07918	−	17.4543i	−0.205767	−	0.880452i
$394$	−2.37302	+	6.04635i	−0.119551	+	0.304611i
$395$	−1.33777	+	17.8513i	−0.0673104	+	0.898194i
$396$	−2.59946	+	8.74842i	−0.130628	+	0.439625i
$397$	−16.3299	+	23.9515i	−0.819572	+	1.20209i	0.157149	+	0.987575i	$0.449770\pi$
$397$	−16.3299	+	23.9515i	−0.819572	+	1.20209i	−0.976720	+	0.214516i	$0.931183\pi$
$398$	−22.9497	−	11.0520i	−1.15037	−	0.553987i
$399$	−3.71736	+	0.591145i	−0.186101	+	0.0295943i
$400$	23.7389	−	11.4320i	1.18694	−	0.571601i
$401$	−5.16146	+	34.2440i	−0.257751	+	1.71007i	0.367819	+	0.929897i	$0.380105\pi$
$401$	−5.16146	+	34.2440i	−0.257751	+	1.71007i	−0.625570	+	0.780168i	$0.715134\pi$
$402$	−0.0728618	+	0.0793477i	−0.00363401	+	0.00395750i
$403$	6.03486	−	0.909609i	0.300618	−	0.0453108i
$404$	−4.58642	+	4.25558i	−0.228183	+	0.211723i
$405$	−28.8744	+	0.599105i	−1.43478	+	0.0297698i
$406$	−2.82642	−	2.24054i	−0.140273	−	0.111196i
$407$	−26.3139	−	20.9846i	−1.30433	−	1.04017i
$408$	−4.76549	−	15.1696i	−0.235927	−	0.751005i
$409$	−7.10204	+	23.0242i	−0.351173	+	1.13848i	0.591934	+	0.805987i	$0.298365\pi$
$409$	−7.10204	+	23.0242i	−0.351173	+	1.13848i	−0.943107	+	0.332489i	$0.892111\pi$
$410$	−31.8676	−	18.3987i	−1.57383	−	0.908649i
$411$	16.7852	+	17.9030i	0.827951	+	0.883089i
$412$	−0.474038	+	0.108196i	−0.0233542	+	0.00533043i
$413$	30.4781	−	2.37343i	1.49973	−	0.116789i
$414$	−2.92857	−	12.2441i	−0.143932	−	0.601764i
$415$	−17.6323	+	5.43884i	−0.865535	+	0.266982i
$416$	−8.99569	−	22.9206i	−0.441050	−	1.12378i
$417$	6.77729	+	9.83053i	0.331885	+	0.481403i
$418$	−1.48059	−	4.79996i	−0.0724181	−	0.234774i
$419$	7.80200	−	34.1828i	0.381152	−	1.66994i	−0.312724	−	0.949844i	$-0.601241\pi$
$419$	7.80200	−	34.1828i	0.381152	−	1.66994i	0.693876	−	0.720094i	$-0.255901\pi$
$420$	−1.73794	+	12.2004i	−0.0848027	+	0.595321i
$421$	−8.27075	−	36.2365i	−0.403092	−	1.76606i	−0.614756	−	0.788717i	$-0.710745\pi$
$421$	−8.27075	−	36.2365i	−0.403092	−	1.76606i	0.211664	−	0.977342i	$-0.432112\pi$
$422$	4.37786	−	2.52756i	0.213111	−	0.123040i
$423$	−1.14905	+	17.8103i	−0.0558688	+	0.865964i
$424$	−12.4727	−	3.84731i	−0.605726	−	0.186842i
$425$	1.85656	+	24.7741i	0.0900563	+	1.20172i
$426$	4.96367	+	2.35874i	0.240490	+	0.114281i
$427$	1.90860	+	8.25114i	0.0923637	+	0.399300i
$428$	7.88910	−	6.29134i	0.381334	−	0.304104i
$429$	28.7552	+	19.3873i	1.38831	+	0.936026i
$430$	6.07379	+	40.2969i	0.292904	+	1.94329i
$431$	15.8579	+	23.2592i	0.763846	+	1.12036i	0.989270	+	0.146096i	$0.0466707\pi$
$431$	15.8579	+	23.2592i	0.763846	+	1.12036i	−0.225425	+	0.974261i	$0.572377\pi$
$432$	13.2689	+	22.1782i	0.638400	+	1.06705i
$433$	14.3402	+	29.7778i	0.689147	+	1.43103i	0.892099	+	0.451841i	$0.149232\pi$
$433$	14.3402	+	29.7778i	0.689147	+	1.43103i	−0.202951	+	0.979189i	$0.565053\pi$
$434$	0.749252	+	4.87446i	0.0359652	+	0.233981i
$435$	4.38999	+	0.978060i	0.210484	+	0.0468944i
$436$	6.17131	+	4.20753i	0.295552	+	0.201504i
$437$	1.49989	+	1.39169i	0.0717493	+	0.0665736i
$438$	−0.0887278	+	0.0138446i	−0.00423958	+	0.000661519i
$439$	−32.5828	−	12.7878i	−1.55509	−	0.610329i	−0.576676	−	0.816973i	$-0.695651\pi$
$439$	−32.5828	−	12.7878i	−1.55509	−	0.610329i	−0.978416	+	0.206644i	$0.933746\pi$
$440$	22.8025			1.08707
$441$	15.6235	+	14.0323i	0.743978	+	0.668204i
$442$	43.5777			2.07278
$443$	2.36090	+	0.926585i	0.112170	+	0.0440234i	0.420762	−	0.907171i	$-0.361763\pi$
$443$	2.36090	+	0.926585i	0.112170	+	0.0440234i	−0.308592	+	0.951194i	$0.599858\pi$
$444$	13.2971	−	2.07480i	0.631051	−	0.0984656i
$445$	27.0175	+	25.0686i	1.28075	+	1.18837i
$446$	20.8779	+	14.2343i	0.988599	+	0.674015i
$447$	−2.17453	−	0.484470i	−0.102852	−	0.0229147i
$448$	−5.97093	+	2.36354i	−0.282100	+	0.111667i
$449$	15.7272	+	32.6579i	0.742214	+	1.54122i	0.837907	+	0.545813i	$0.183779\pi$
$449$	15.7272	+	32.6579i	0.742214	+	1.54122i	−0.0956929	+	0.995411i	$0.530507\pi$
$450$	−8.15638	−	25.5002i	−0.384496	−	1.20209i
$451$	−13.9193	−	20.4158i	−0.655433	−	0.961344i
$452$	−1.03921	−	6.89467i	−0.0488801	−	0.324298i
$453$	1.23927	+	0.835541i	0.0582262	+	0.0392571i
$454$	11.6914	−	9.32360i	0.548706	−	0.437578i
$455$	42.2510	+	20.1954i	1.98076	+	0.946776i
$456$	−2.51534	−	1.19529i	−0.117792	−	0.0559747i
$457$	−1.32903	−	17.7347i	−0.0621696	−	0.829595i	−0.937925	−	0.346839i	$-0.887255\pi$
$457$	−1.32903	−	17.7347i	−0.0621696	−	0.829595i	0.875755	−	0.482756i	$-0.160364\pi$
$458$	−4.33009	−	1.33566i	−0.202332	−	0.0624111i
$459$	−24.0370	+	4.00642i	−1.12195	+	0.187004i
$460$	5.80143	−	3.34945i	0.270493	−	0.156169i
$461$	−0.323766	−	1.41851i	−0.0150793	−	0.0660666i	0.966828	−	0.255426i	$-0.0822159\pi$
$461$	−0.323766	−	1.41851i	−0.0150793	−	0.0660666i	−0.981908	+	0.189360i	$0.939359\pi$
$462$	−15.5985	+	23.2820i	−0.725710	+	1.08317i
$463$	−2.40420	+	10.5335i	−0.111732	+	0.489532i	0.887836	+	0.460160i	$0.152208\pi$
$463$	−2.40420	+	10.5335i	−0.111732	+	0.489532i	−0.999569	+	0.0293721i	$0.990649\pi$
$464$	−1.18633	−	3.84598i	−0.0550739	−	0.178545i
$465$	−3.49063	−	5.06320i	−0.161874	−	0.234800i
$466$	10.4770	+	26.6949i	0.485336	+	1.23662i
$467$	5.82385	−	1.79642i	0.269496	−	0.0831284i	−0.157062	−	0.987589i	$-0.550202\pi$
$467$	5.82385	−	1.79642i	0.269496	−	0.0831284i	0.426558	+	0.904460i	$0.359726\pi$
$468$	−13.4869	+	3.22583i	−0.623431	+	0.149114i
$469$	−0.0844494	+	0.0490859i	−0.00389951	+	0.00226657i
$470$	−31.3543	+	7.15641i	−1.44626	+	0.330100i
$471$	18.1274	+	19.3346i	0.835265	+	0.890890i
$472$	19.5877	+	11.3090i	0.901597	+	0.520537i
$473$	−8.06594	+	26.1491i	−0.370872	+	1.20234i
$474$	−4.87851	−	15.5293i	−0.224078	−	0.713286i
$475$	3.40193	+	2.71295i	0.156091	+	0.124479i
$476$	0.0303257	+	10.3982i	0.00138998	+	0.476602i
$477$	−8.49198	+	18.1120i	−0.388821	+	0.829291i
$478$	13.7205	−	12.7308i	0.627562	−	0.582292i
$479$	−33.1048	+	4.98975i	−1.51260	+	0.227987i	−0.852314	−	0.523030i	$-0.824802\pi$
$479$	−33.1048	+	4.98975i	−1.51260	+	0.227987i	−0.660283	+	0.751017i	$0.729564\pi$
$480$	−16.7816	+	18.2755i	−0.765972	+	0.834157i
$481$	7.62203	−	50.5689i	0.347535	−	2.30574i
$482$	4.77572	−	2.29987i	0.217528	−	0.104756i
$483$	0.760799	−	11.3899i	0.0346175	−	0.518257i
$484$	−1.64413	−	0.791771i	−0.0747331	−	0.0359896i
$485$	11.8595	−	17.3946i	0.538511	−	0.789850i
$486$	24.1887	−	10.2249i	1.09722	−	0.463810i
$487$	1.10498	−	14.7449i	0.0500715	−	0.668157i	−0.914542	−	0.404490i	$-0.867449\pi$
$487$	1.10498	−	14.7449i	0.0500715	−	0.668157i	0.964614	−	0.263667i	$-0.0849320\pi$
$488$	−2.28919	+	5.83277i	−0.103627	+	0.264037i
$489$	−8.59923	−	36.7950i	−0.388871	−	1.66393i
$490$	−16.2198	+	34.1894i	−0.732735	+	1.54452i
$491$		−	30.9699i		−	1.39765i	−0.715292	−	0.698825i	$-0.753706\pi$
$491$		−	30.9699i		−	1.39765i	0.715292	−	0.698825i	$-0.246294\pi$
$492$	9.77743	+	1.42189i	0.440801	+	0.0641037i
$493$	3.78435	+	0.283598i	0.170438	+	0.0127726i
$494$	5.19137	−	5.59497i	0.233571	−	0.251730i
$495$	4.84977	−	34.6082i	0.217981	−	1.55552i
$496$	−2.38780	+	4.95832i	−0.107215	+	0.222635i
$497$	3.66270	+	3.37866i	0.164294	+	0.151554i
$498$	13.0634	−	10.5291i	0.585387	−	0.471818i
$499$	−16.7327	−	2.52205i	−0.749059	−	0.112902i	−0.236591	−	0.971609i	$-0.576030\pi$
$499$	−16.7327	−	2.52205i	−0.749059	−	0.112902i	−0.512467	+	0.858707i	$0.671268\pi$
$500$	0.660851	−	0.450561i	0.0295542	−	0.0201497i
$501$	−4.09416	−	10.2747i	−0.182913	−	0.459041i
$502$	−30.4705	−	32.8393i	−1.35996	−	1.46569i
$503$	−6.02722	−	7.55790i	−0.268741	−	0.336990i	0.629089	−	0.777333i	$-0.283428\pi$
$503$	−6.02722	−	7.55790i	−0.268741	−	0.336990i	−0.897829	+	0.440343i	$0.854857\pi$
$504$	3.65833	+	15.1003i	0.162955	+	0.672622i
$505$	14.9372	−	18.7307i	0.664697	−	0.833503i
$506$	15.1910	−	1.13841i	0.675322	−	0.0506084i
$507$	−2.09915	+	30.1057i	−0.0932267	+	1.33704i
$508$	−0.679583	+	1.17707i	−0.0301516	+	0.0522241i
$509$	2.58739	+	4.48149i	0.114684	+	0.198639i	0.917653	−	0.397382i	$-0.130081\pi$
$509$	2.58739	+	4.48149i	0.114684	+	0.198639i	−0.802969	+	0.596020i	$0.796748\pi$
$510$	−19.2576	−	39.4639i	−0.852741	−	1.74749i
$511$	−0.0805515	−	0.0119010i	−0.00356339	−	0.000526470i
$512$	2.66244	+	0.607685i	0.117664	+	0.0268561i
$513$	−2.34912	+	3.56341i	−0.103716	+	0.157328i
$514$	−46.2016	+	18.1328i	−2.03787	+	0.799804i
$515$	1.73313	−	0.680204i	0.0763709	−	0.0299734i
$516$	−5.52013	−	9.44765i	−0.243010	−	0.415909i
$517$	−21.0543	−	4.80550i	−0.925966	−	0.211346i
$518$	40.8813	+	6.03998i	1.79622	+	0.265381i
$519$	−14.2091	+	6.93377i	−0.623712	+	0.304359i
$520$	17.3237	+	30.0056i	0.759696	+	1.31583i
$521$	5.49327	−	9.51462i	0.240665	−	0.416843i	−0.720239	−	0.693726i	$-0.755968\pi$
$521$	5.49327	−	9.51462i	0.240665	−	0.416843i	0.960904	+	0.276883i	$0.0893013\pi$
$522$	−4.03745	+	0.651448i	−0.176715	+	0.0285131i
$523$	14.3682	−	1.07675i	0.628277	−	0.0470828i	0.243213	−	0.969973i	$-0.421799\pi$
$523$	14.3682	−	1.07675i	0.628277	−	0.0470828i	0.385064	+	0.922890i	$0.374180\pi$
$524$	−5.40732	+	6.78057i	−0.236220	+	0.296210i
$525$	−0.196701	−	24.2750i	−0.00858473	−	1.05945i
$526$	−24.5015	−	30.7239i	−1.06832	−	1.33963i
$527$	−3.52945	−	3.80384i	−0.153745	−	0.165698i
$528$	−29.0511	+	11.5760i	−1.26429	+	0.503779i
$529$	13.8766	−	9.46088i	0.603329	−	0.411343i
$530$	−35.6443	−	5.37251i	−1.54829	−	0.233367i
$531$	21.3301	−	27.3238i	0.925648	−	1.18575i
$532$	1.33865	+	1.23484i	0.0580378	+	0.0535371i
$533$	16.2901	−	33.8268i	0.705604	−	1.46520i
$534$	−31.2597	−	12.0818i	−1.35274	−	0.522831i
$535$	−26.2805	+	28.3237i	−1.13621	+	1.22454i
$536$	−0.0720669	−	0.00540067i	−0.00311282	−	0.000233273i
$537$	−3.87498	+	26.6458i	−0.167218	+	1.14985i
$538$		−	4.68825i		−	0.202125i
$539$	−19.7741	+	15.9589i	−0.851729	+	0.687397i
$540$	8.88135	+	10.7882i	0.382193	+	0.464249i
$541$	8.58734	−	21.8802i	0.369199	−	0.940703i	−0.618703	−	0.785625i	$-0.712342\pi$
$541$	8.58734	−	21.8802i	0.369199	−	0.940703i	0.987902	−	0.155078i	$-0.0495630\pi$
$542$	0.763443	−	10.1874i	0.0327927	−	0.437588i
$543$	−16.9293	−	9.65741i	−0.726505	−	0.414439i
$544$	−11.7932	+	17.2975i	−0.505631	+	0.741625i
$545$	−25.7681	−	12.4093i	−1.10378	−	0.531554i
$546$	−42.4872	−	2.83798i	−1.81829	−	0.121454i
$547$	−12.0805	+	5.81765i	−0.516524	+	0.248745i	−0.673938	−	0.738788i	$-0.735399\pi$
$547$	−12.0805	+	5.81765i	−0.516524	+	0.248745i	0.157414	+	0.987533i	$0.449684\pi$
$548$	1.76972	−	11.7413i	0.0755986	−	0.501564i
$549$	8.36575	+	4.71495i	0.357042	+	0.201229i
$550$	32.0341	−	4.82836i	1.36594	−	0.205882i
$551$	0.487237	−	0.452090i	0.0207570	−	0.0192597i
$552$	5.23151	−	6.63037i	0.222668	−	0.282207i
$553$	−0.0430447	−	14.7594i	−0.00183045	−	0.627632i
$554$	29.1175	+	23.2204i	1.23708	+	0.986541i
$555$	−49.1635	+	15.4446i	−2.08687	+	0.655587i
$556$	1.70286	−	5.52055i	0.0722176	−	0.234124i
$557$	−3.96390	−	2.28856i	−0.167956	−	0.0969693i	0.413666	−	0.910429i	$-0.364248\pi$
$557$	−3.96390	−	2.28856i	−0.167956	−	0.0969693i	−0.581622	+	0.813460i	$0.697582\pi$
$558$	4.65278	+	3.10201i	0.196968	+	0.131318i
$559$	−40.5374	+	9.25239i	−1.71455	+	0.391334i
$560$	−36.5086	+	21.2205i	−1.54277	+	0.896729i
$561$	−0.152930	−	29.4863i	−0.00645669	−	1.24491i
$562$	19.6010	−	6.04611i	0.826818	−	0.255040i
$563$	9.04294	+	23.0410i	0.381114	+	0.971063i	0.984777	+	0.173823i	$0.0556122\pi$
$563$	9.04294	+	23.0410i	0.381114	+	0.971063i	−0.603663	+	0.797240i	$0.706293\pi$
$564$	7.10946	−	4.90135i	0.299362	−	0.206384i
$565$	7.86962	+	25.5127i	0.331077	+	1.07333i
$566$	−0.628946	+	2.75559i	−0.0264366	+	0.115826i
$567$	23.6964	−	2.34076i	0.995157	−	0.0983029i
$568$	0.820384	+	3.59434i	0.0344226	+	0.150815i
$569$	12.8279	−	7.40619i	0.537774	−	0.310484i	−0.206402	−	0.978467i	$-0.566176\pi$
$569$	12.8279	−	7.40619i	0.537774	−	0.310484i	0.744176	+	0.667983i	$0.232842\pi$
$570$	−7.36095	−	2.22881i	−0.308316	−	0.0933545i
$571$	14.5545	+	4.48946i	0.609086	+	0.187878i	0.583928	−	0.811805i	$-0.301515\pi$
$571$	14.5545	+	4.48946i	0.609086	+	0.187878i	0.0251578	+	0.999683i	$0.491991\pi$
$572$	−1.25396	−	16.7329i	−0.0524306	−	0.699637i
$573$	15.6750	−	32.9860i	0.654833	−	1.37801i
$574$	27.3729	+	13.0839i	1.14252	+	0.546110i
$575$	−10.3170	+	8.22754i	−0.430249	+	0.343112i
$576$	−2.58979	+	6.80541i	−0.107908	+	0.283559i
$577$	−5.30477	−	35.1949i	−0.220841	−	1.46518i	−0.774572	−	0.632486i	$-0.782035\pi$
$577$	−5.30477	−	35.1949i	−0.220841	−	1.46518i	0.553731	−	0.832695i	$-0.313203\pi$
$578$	−4.73896	−	6.95078i	−0.197115	−	0.289114i
$579$	1.27846	+	15.9494i	0.0531311	+	0.662836i
$580$	−0.944190	−	1.96063i	−0.0392054	−	0.0814108i
$581$	14.1456	−	5.59940i	0.586858	−	0.232302i
$582$	−4.16292	+	18.6851i	−0.172559	+	0.774523i
$583$	−19.9994	−	13.6354i	−0.828291	−	0.564719i
$584$	−0.0441620	−	0.0409764i	−0.00182744	−	0.00169561i
$585$	49.2252	−	19.9112i	2.03521	−	0.823225i
$586$	−28.4700	−	11.1736i	−1.17608	−	0.461579i
$587$	23.8115			0.982805			0.491402	−	0.870933i	$-0.336484\pi$
$587$	23.8115			0.982805			0.491402	+	0.870933i	$0.336484\pi$
$588$	0.647614	−	10.1400i	0.0267072	−	0.418167i
$589$	−0.908838			−0.0374480
$590$	58.1455	+	22.8204i	2.39381	+	0.939502i
$591$	1.02956	+	6.59827i	0.0423503	+	0.271417i
$592$	33.8046	+	31.3661i	1.38936	+	1.28914i
$593$	3.16027	+	2.15464i	0.129777	+	0.0884803i	0.626469	−	0.779447i	$-0.284500\pi$
$593$	3.16027	+	2.15464i	0.129777	+	0.0884803i	−0.496692	+	0.867927i	$0.665452\pi$
$594$	7.55211	+	30.8662i	0.309867	+	1.26645i
$595$	−6.04912	−	39.3542i	−0.247990	−	1.61337i
$596$	0.467693	+	0.971175i	0.0191575	+	0.0397809i
$597$	−26.1053	+	2.09253i	−1.06842	+	0.0856415i
$598$	13.0391	+	19.1248i	0.533207	+	0.782071i
$599$	−2.09529	−	13.9013i	−0.0856111	−	0.567993i	−0.989976	−	0.141233i	$-0.954893\pi$
$599$	−2.09529	−	13.9013i	−0.0856111	−	0.567993i	0.904365	−	0.426759i	$-0.140345\pi$
$600$	10.0406	−	14.8922i	0.409905	−	0.607971i
$601$	20.5735	−	16.4068i	0.839212	−	0.669249i	−0.106480	−	0.994315i	$-0.533958\pi$
$601$	20.5735	−	16.4068i	0.839212	−	0.669249i	0.945691	+	0.325066i	$0.105386\pi$
$602$	−7.57213	−	32.7353i	−0.308617	−	1.33419i
$603$	−0.0235244	+	0.108230i	−0.000957989	+	0.00440747i
$604$	−0.0540423	−	0.721144i	−0.00219895	−	0.0293429i
$605$	6.67714	+	2.05962i	0.271464	+	0.0837356i
$606$	−6.31301	+	20.8496i	−0.256449	+	0.846957i
$607$	0.965768	−	0.557586i	0.0391993	−	0.0226317i	−0.480272	−	0.877119i	$-0.659462\pi$
$607$	0.965768	−	0.557586i	0.0391993	−	0.0226317i	0.519472	+	0.854488i	$0.326129\pi$
$608$	0.815921	+	3.57478i	0.0330900	+	0.144977i
$609$	−3.67118	−	0.522955i	−0.148764	−	0.0211912i
$610$	−3.85059	+	16.8705i	−0.155906	+	0.683068i
$611$	−9.67205	−	31.3560i	−0.391289	−	1.26853i
$612$	8.72580	+	7.92952i	0.352720	+	0.320532i
$613$	−1.78425	−	4.54619i	−0.0720651	−	0.183619i	0.890303	−	0.455369i	$-0.150493\pi$
$613$	−1.78425	−	4.54619i	−0.0720651	−	0.183619i	−0.962368	+	0.271750i	$0.912398\pi$
$614$	−32.6988	+	10.0862i	−1.31961	+	0.407047i
$615$	−37.8324	+	0.196216i	−1.52555	+	0.00791220i
$616$	−18.7436	+	1.45963i	−0.755203	+	0.0588100i
$617$	−13.2248	+	3.01846i	−0.532409	+	0.121519i	−0.480269	−	0.877121i	$-0.659461\pi$
$617$	−13.2248	+	3.01846i	−0.532409	+	0.121519i	−0.0521392	+	0.998640i	$0.516604\pi$
$618$	−1.23504	+	1.15792i	−0.0496805	+	0.0465786i
$619$	24.0863	+	13.9062i	0.968110	+	0.558939i	0.898660	−	0.438647i	$-0.144542\pi$
$619$	24.0863	+	13.9062i	0.968110	+	0.558939i	0.0694505	+	0.997585i	$0.477875\pi$
$620$	−0.877058	+	2.84335i	−0.0352235	+	0.114192i
$621$	−8.95050	−	9.35027i	−0.359171	−	0.375213i
$622$	5.20945	+	4.15440i	0.208880	+	0.166576i
$623$	−23.8131	−	18.8770i	−0.954052	−	0.756290i
$624$	−37.3037	−	29.4335i	−1.49334	−	1.17828i
$625$	17.1713	−	15.9327i	0.686853	−	0.637307i
$626$	−43.4315	+	6.54624i	−1.73587	+	0.261640i
$627$	−3.80399	−	3.49304i	−0.151917	−	0.139499i
$628$	1.91123	−	12.6802i	0.0762664	−	0.505995i
$629$	−39.1754	+	18.8659i	−1.56203	+	0.752232i
$630$	16.2057	+	39.7306i	0.645649	+	1.58290i
$631$	29.5709	+	14.2406i	1.17720	+	0.566910i	0.917094	−	0.398670i	$-0.130528\pi$
$631$	29.5709	+	14.2406i	1.17720	+	0.566910i	0.260106	+	0.965580i	$0.416243\pi$
$632$	6.15144	−	9.02251i	0.244691	−	0.358896i
$633$	2.57530	−	4.51446i	0.102359	−	0.179434i
$634$	−3.19035	+	42.5723i	−0.126705	+	1.69076i
$635$	1.90139	−	4.84466i	0.0754544	−	0.192255i
$636$	9.42478	−	2.20263i	0.373717	−	0.0873401i
$637$	−36.0231	−	13.8961i	−1.42729	−	0.550583i
$638$		−	4.94862i		−	0.195918i
$639$	5.62976	−	0.480664i	0.222710	−	0.0190148i
$640$	−41.6544	−	3.12156i	−1.64653	−	0.123391i
$641$	10.8486	−	11.6920i	0.428493	−	0.461806i	−0.481490	−	0.876452i	$-0.659904\pi$
$641$	10.8486	−	11.6920i	0.428493	−	0.461806i	0.909983	+	0.414646i	$0.136095\pi$
$642$	12.6659	−	32.7709i	0.499882	−	1.29336i
$643$	−13.8639	+	28.7888i	−0.546741	+	1.13532i	0.426278	+	0.904592i	$0.359825\pi$
$643$	−13.8639	+	28.7888i	−0.546741	+	1.13532i	−0.973019	+	0.230727i	$0.925890\pi$
$644$	−4.55437	+	3.12461i	−0.179467	+	0.123127i
$645$	26.2930	+	32.6219i	1.03529	+	1.28449i
$646$	−6.41693	−	0.967197i	−0.252471	−	0.0380539i
$647$	8.51907	−	5.80820i	0.334919	−	0.228344i	−0.384169	−	0.923263i	$-0.625512\pi$
$647$	8.51907	−	5.80820i	0.334919	−	0.228344i	0.719088	+	0.694919i	$0.244560\pi$
$648$	15.4366	+	8.49034i	0.606408	+	0.333532i
$649$	28.5291	+	30.7471i	1.11987	+	1.20693i
$650$	30.6909	+	38.4851i	1.20379	+	1.50951i
$651$	3.19341	+	3.93851i	0.125159	+	0.154362i
$652$	−11.3991	+	14.2940i	−0.446421	+	0.559795i
$653$	−42.1086	+	3.15560i	−1.64784	+	0.123488i	−0.866016	−	0.500017i	$-0.833327\pi$
$653$	−42.1086	+	3.15560i	−1.64784	+	0.123488i	−0.781819	+	0.623505i	$0.785708\pi$
$654$	25.9433	+	1.80892i	1.01446	+	0.0707345i
$655$	16.6044	−	28.7597i	0.648788	−	1.12373i
$656$	16.9278	+	29.3198i	0.660919	+	1.14475i
$657$	−0.0715842	+	0.0583114i	−0.00279276	+	0.00227494i
$658$	25.3151	−	7.88961i	0.986886	−	0.307569i
$659$	36.9876	+	8.44219i	1.44083	+	0.328861i	0.870344	−	0.492444i	$-0.163896\pi$
$659$	36.9876	+	8.44219i	1.44083	+	0.328861i	0.570490	+	0.821305i	$0.306753\pi$
$660$	−14.5992	+	8.53009i	−0.568272	+	0.332033i
$661$	12.0016	−	4.71028i	0.466809	−	0.183209i	−0.120266	−	0.992742i	$-0.538375\pi$
$661$	12.0016	−	4.71028i	0.466809	−	0.183209i	0.587075	+	0.809533i	$0.300280\pi$
$662$	−20.2473	+	7.94650i	−0.786935	+	0.308849i
$663$	38.6846	−	22.6029i	1.50239	−	0.877823i
$664$	10.9737	+	2.50468i	0.425863	+	0.0972005i
$665$	−5.77334	−	3.91158i	−0.223881	−	0.151685i
$666$	36.3302	−	29.5940i	1.40777	−	1.14675i
$667$	1.00787	+	1.74568i	0.0390249	+	0.0675930i
$668$	−2.67574	+	4.63451i	−0.103527	+	0.179315i
$669$	25.9167	+	1.80707i	1.00200	+	0.0698654i
$670$	−0.199025	+	0.0149149i	−0.00768902	+	0.000576212i
$671$	−7.24485	+	9.08476i	−0.279684	+	0.350713i
$672$	12.6246	−	16.0966i	0.487006	−	0.620942i
$673$	22.4813	+	28.1907i	0.866591	+	1.08667i	0.995476	+	0.0950114i	$0.0302888\pi$
$673$	22.4813	+	28.1907i	0.866591	+	1.08667i	−0.128885	+	0.991660i	$0.541140\pi$
$674$	−6.52090	−	7.02786i	−0.251176	−	0.270703i
$675$	−20.4670	−	18.4064i	−0.787775	−	0.708461i
$676$	12.0645	−	8.22546i	0.464021	−	0.316364i
$677$	−4.96637	−	0.748560i	−0.190873	−	0.0287695i	0.0529099	−	0.998599i	$-0.483150\pi$
$677$	−4.96637	−	0.748560i	−0.190873	−	0.0287695i	−0.243783	+	0.969830i	$0.578388\pi$
$678$	−15.2348	−	18.9019i	−0.585089	−	0.725922i
$679$	−8.63502	+	15.0575i	−0.331382	+	0.577855i
$680$	12.7817	−	26.5414i	0.490154	−	1.01782i
$681$	5.54269	−	14.3408i	0.212396	−	0.549541i
$682$	−4.60240	+	4.96020i	−0.176235	+	0.189936i
$683$	−17.9831	−	1.34765i	−0.688103	−	0.0515662i	−0.273910	−	0.961755i	$-0.588317\pi$
$683$	−17.9831	−	1.34765i	−0.688103	−	0.0515662i	−0.414193	+	0.910189i	$0.635936\pi$
$684$	2.05757	−	0.175674i	0.0786733	−	0.00671707i
$685$			45.4669i			1.73720i
$686$	11.1441	−	29.1420i	0.425485	−	1.11265i
$687$	−4.53667	+	1.06025i	−0.173085	+	0.0404510i
$688$	13.6981	−	34.9022i	0.522236	−	1.33064i
$689$	2.74850	−	36.6762i	0.104710	−	1.39725i
$690$	11.5573	−	20.2597i	0.439978	−	0.771274i
$691$	11.9421	−	17.5159i	0.454300	−	0.666336i	−0.528938	−	0.848660i	$-0.677410\pi$
$691$	11.9421	−	17.5159i	0.454300	−	0.666336i	0.983238	+	0.182324i	$0.0583621\pi$
$692$	6.89227	+	3.31914i	0.262005	+	0.126175i
$693$	−1.77118	+	28.7584i	−0.0672816	+	1.09244i
$694$	0.284313	−	0.136918i	0.0107924	−	0.00519734i
$695$	−3.29707	+	21.8746i	−0.125065	+	0.829753i
$696$	−2.02085	−	1.85566i	−0.0766000	−	0.0703387i
$697$	−31.5657	+	4.75776i	−1.19564	+	0.180213i
$698$	−12.7183	+	11.8009i	−0.481394	+	0.446669i
$699$	23.1467	+	18.2633i	0.875487	+	0.690780i
$700$	−9.16173	+	7.35005i	−0.346281	+	0.277806i
$701$	−5.27964	−	4.21038i	−0.199409	−	0.159024i	0.518694	−	0.854960i	$-0.326418\pi$
$701$	−5.27964	−	4.21038i	−0.199409	−	0.159024i	−0.718104	+	0.695936i	$0.754990\pi$
$702$	−34.8789	+	33.3877i	−1.31642	+	1.26014i
$703$	−2.24473	+	7.27724i	−0.0846616	+	0.274466i
$704$	−7.63043	−	4.40543i	−0.287582	−	0.166036i
$705$	−24.1218	+	22.6157i	−0.908479	+	0.851756i
$706$	52.2206	−	11.9190i	1.96535	−	0.448578i
$707$	−11.0794	+	16.3528i	−0.416684	+	0.615009i
$708$	−16.7715	+	0.0869845i	−0.630310	+	0.00326908i
$709$	−15.7893	+	4.87036i	−0.592980	+	0.182910i	−0.576698	−	0.816957i	$-0.695659\pi$
$709$	−15.7893	+	4.87036i	−0.592980	+	0.182910i	−0.0162820	+	0.999867i	$0.505183\pi$
$710$	3.71978	+	9.47785i	0.139601	+	0.355697i
$711$	−12.3855	−	11.2553i	−0.464492	−	0.422105i
$712$	−6.62688	−	21.4838i	−0.248353	−	0.805141i
$713$	0.613318	−	2.68712i	0.0229689	−	0.100634i
$714$	18.3559	+	31.2067i	0.686953	+	1.16788i
$715$	14.2974	+	62.6412i	0.534694	+	2.34265i
$716$	11.2825	−	6.51398i	0.421648	−	0.243439i
$717$	5.57672	−	18.4179i	0.208266	−	0.687828i
$718$	−44.6594	−	13.7756i	−1.66667	−	0.514100i
$719$	−1.74372	−	23.2683i	−0.0650297	−	0.867761i	−0.930381	−	0.366595i	$-0.880524\pi$
$719$	−1.74372	−	23.2683i	−0.0650297	−	0.867761i	0.865351	−	0.501166i	$-0.167095\pi$
$720$	−10.1699	+	46.7894i	−0.379011	+	1.74374i
$721$	−1.38109	+	0.670068i	−0.0514346	+	0.0249547i
$722$	24.1365	−	19.2482i	0.898267	−	0.716344i
$723$	3.04659	−	4.51870i	0.113304	−	0.168052i
$724$	1.40549	+	9.32482i	0.0522347	+	0.346554i
$725$	2.41478	+	3.54183i	0.0896827	+	0.131540i
$726$	−6.33346	+	0.507673i	−0.235057	+	0.0188415i
$727$	−2.79773	−	5.80954i	−0.103762	−	0.215464i	0.842624	−	0.538503i	$-0.181010\pi$
$727$	−2.79773	−	5.80954i	−0.103762	−	0.215464i	−0.946386	+	0.323039i	$0.895296\pi$
$728$	−16.1608	−	23.5557i	−0.598960	−	0.873032i
$729$	16.1693	−	21.6230i	0.598862	−	0.800852i
$730$	−0.137465	−	0.0937221i	−0.00508781	−	0.00346881i
$731$	25.9155	+	24.0461i	0.958521	+	0.889377i
$732$	−0.716315	−	4.59076i	−0.0264758	−	0.169679i
$733$	30.4264	+	11.9415i	1.12382	+	0.441069i	0.853183	−	0.521612i	$-0.174669\pi$
$733$	30.4264	+	11.9415i	1.12382	+	0.441069i	0.270641	+	0.962680i	$0.412764\pi$
$734$	−48.1324			−1.77660
$735$	3.33483	+	38.7634i	0.123007	+	1.42981i
$736$	−11.1200			−0.409889
$737$	−0.124755	−	0.0489628i	−0.00459542	−	0.00180357i
$738$	31.8912	−	12.8997i	1.17393	−	0.474845i
$739$	−18.7938	−	17.4381i	−0.691339	−	0.641469i	0.254134	−	0.967169i	$-0.418210\pi$
$739$	−18.7938	−	17.4381i	−0.691339	−	0.641469i	−0.945473	+	0.325700i	$0.894400\pi$
$740$	20.6010	+	14.0455i	0.757309	+	0.516324i
$741$	1.70646	−	7.65941i	0.0626885	−	0.281375i
$742$	29.6435	+	2.13455i	1.08825	+	0.0783620i
$743$	−18.0328	−	37.4455i	−0.661559	−	1.37374i	−0.913835	−	0.406086i	$-0.866893\pi$
$743$	−18.0328	−	37.4455i	−0.661559	−	1.37374i	0.252276	−	0.967655i	$-0.418821\pi$
$744$	0.299745	+	3.73947i	0.0109892	+	0.137096i
$745$	−2.32511	−	3.41031i	−0.0851854	−	0.124944i
$746$	9.37879	+	62.2242i	0.343382	+	2.27819i
$747$	6.13541	−	16.1226i	0.224483	−	0.589893i
$748$	−11.1543	+	8.89526i	−0.407842	+	0.325243i
$749$	19.7895	−	24.9643i	0.723094	−	0.912176i
$750$	1.19528	−	2.51531i	0.0436454	−	0.0918461i
$751$	2.62322	+	35.0044i	0.0957226	+	1.27733i	0.813709	+	0.581272i	$0.197445\pi$
$751$	2.62322	+	35.0044i	0.0957226	+	1.27733i	−0.717986	+	0.696057i	$0.754936\pi$
$752$	28.2748	+	8.72163i	1.03108	+	0.318045i
$753$	−44.0822	−	13.3476i	−1.60645	−	0.486413i
$754$	6.51185	−	3.75962i	0.237148	−	0.136917i
$755$	0.616182	+	2.69967i	0.0224252	+	0.0982511i
$756$	−7.99104	−	8.29936i	−0.290631	−	0.301845i
$757$	3.06960	−	13.4488i	0.111566	−	0.488804i	−0.888013	−	0.459818i	$-0.847915\pi$
$757$	3.06960	−	13.4488i	0.111566	−	0.488804i	0.999580	−	0.0289867i	$-0.00922804\pi$
$758$	−8.25000	−	26.7458i	−0.299653	−	0.971452i
$759$	12.8948	−	8.88984i	0.468052	−	0.322681i
$760$	−1.88500	−	4.80290i	−0.0683761	−	0.174220i
$761$	19.8309	−	6.11701i	0.718868	−	0.221742i	0.0863257	−	0.996267i	$-0.472487\pi$
$761$	19.8309	−	6.11701i	0.718868	−	0.221742i	0.632543	+	0.774525i	$0.282011\pi$
$762$	0.0245439	+	4.73230i	0.000889132	+	0.171433i
$763$	21.9757	+	8.55095i	0.795574	+	0.309565i
$764$	−17.2274	+	3.93203i	−0.623264	+	0.142256i
$765$	−37.5645	−	25.0442i	−1.35815	−	0.905476i
$766$	−20.0184	−	11.5576i	−0.723294	−	0.417594i
$767$	−18.7854	+	60.9007i	−0.678300	+	2.19900i
$768$	28.2149	−	8.86366i	1.01812	−	0.319840i
$769$	30.2619	+	24.1331i	1.09127	+	0.870261i	0.992180	−	0.124817i	$-0.0398344\pi$
$769$	30.2619	+	24.1331i	1.09127	+	0.870261i	0.0990931	+	0.995078i	$0.468406\pi$
$770$	−50.5849	+	11.7010i	−1.82295	+	0.421674i
$771$	−31.6088	+	40.0607i	−1.13836	+	1.44275i
$772$	5.67511	−	5.26573i	0.204252	−	0.189518i
$773$	5.94769	−	0.896469i	0.213923	−	0.0322438i	−0.0412061	−	0.999151i	$-0.513120\pi$
$773$	5.94769	−	0.896469i	0.213923	−	0.0322438i	0.255129	+	0.966907i	$0.417882\pi$
$774$	−33.1900	−	18.7060i	−1.19299	−	0.672372i
$775$	0.873600	−	5.79596i	0.0313806	−	0.208197i
$776$	−11.5706	+	5.57211i	−0.415361	+	0.200027i
$777$	39.4238	−	15.8425i	1.41432	−	0.568347i
$778$	−6.75157	−	3.25139i	−0.242056	−	0.116568i
$779$	−3.14954	+	4.61953i	−0.112844	+	0.165512i
$780$	−22.3161	−	12.7303i	−0.799045	−	0.455819i
$781$	−0.510926	+	6.81783i	−0.0182824	+	0.243961i
$782$	7.19006	−	18.3200i	0.257116	−	0.655121i
$783$	−3.24622	+	2.67245i	−0.116010	+	0.0955055i
$784$	28.6518	−	19.7802i	1.02328	−	0.706436i
$785$			49.1025i			1.75255i
$786$	−4.34565	+	29.8823i	−0.155004	+	1.06587i
$787$	−0.371533	−	0.0278426i	−0.0132437	−	0.000992481i	0.0681066	−	0.997678i	$-0.478304\pi$
$787$	−0.371533	−	0.0278426i	−0.0132437	−	0.000992481i	−0.0813503	+	0.996686i	$0.525923\pi$
$788$	2.19774	−	2.36860i	0.0782912	−	0.0843779i
$789$	−37.6863	−	14.5657i	−1.34167	−	0.518552i
$790$	13.0848	−	27.1709i	0.465537	−	0.966697i
$791$	−8.10194	−	20.4677i	−0.288072	−	0.727747i
$792$	−13.1177	+	16.8038i	−0.466118	+	0.597096i
$793$	−17.4587	−	2.63147i	−0.619976	−	0.0934464i
$794$	40.3498	−	27.5100i	1.43196	−	0.976295i
$795$	−34.4286	+	13.7187i	−1.22106	+	0.486553i
$796$	8.61870	+	9.28875i	0.305482	+	0.329231i
$797$	3.35083	+	4.20180i	0.118692	+	0.148836i	0.837628	−	0.546241i	$-0.183942\pi$
$797$	3.35083	+	4.20180i	0.118692	+	0.148836i	−0.718936	+	0.695077i	$0.755370\pi$
$798$	6.19337	+	1.36089i	0.219243	+	0.0481752i
$799$	−17.3952	+	21.8129i	−0.615397	+	0.771684i
$800$	−23.5819	+	1.76722i	−0.833744	+	0.0624805i
$801$	−34.0163	+	5.48858i	−1.20191	+	0.193929i
$802$	29.1704	−	50.5246i	1.03004	−	1.78408i
$803$	−0.0558599	−	0.0967522i	−0.00197125	−	0.00341431i
$804$	0.0481607	−	0.0235015i	0.00169850	−	0.000828833i
$805$	15.4613	−	14.4301i	0.544938	−	0.508594i
$806$	−10.0237	−	2.28784i	−0.353069	−	0.0805856i
$807$	−2.43170	−	4.16184i	−0.0856001	−	0.146504i
$808$	−13.6040	+	5.33918i	−0.478588	+	0.187832i
$809$	29.6266	−	11.6276i	1.04162	−	0.408805i	0.217999	−	0.975949i	$-0.430047\pi$
$809$	29.6266	−	11.6276i	1.04162	−	0.408805i	0.823618	+	0.567144i	$0.191952\pi$
$810$	45.6494	+	16.8319i	1.60396	+	0.591411i
$811$	10.6465	+	2.43000i	0.373849	+	0.0853287i	0.405317	−	0.914176i	$-0.367161\pi$
$811$	10.6465	+	2.43000i	0.373849	+	0.0853287i	−0.0314678	+	0.999505i	$0.510018\pi$
$812$	0.901628	+	1.55120i	0.0316409	+	0.0544365i
$813$	−4.60630	−	9.43953i	−0.161550	−	0.331059i
$814$	28.3499	+	49.1034i	0.993662	+	1.72107i
$815$	35.0034	−	60.6276i	1.22611	−	2.12369i
$816$	−2.81020	+	40.3034i	−0.0983766	+	1.41090i
$817$	6.17459	−	0.462722i	0.216022	−	0.0161886i
$818$	25.3081	−	31.7354i	0.884878	−	1.10960i
$819$	−39.1886	+	19.5180i	−1.36936	+	0.682013i
$820$	11.4131	+	14.3115i	0.398561	+	0.499780i
$821$	10.8436	+	11.6867i	0.378446	+	0.407867i	0.893337	−	0.449388i	$-0.148358\pi$
$821$	10.8436	+	11.6867i	0.378446	+	0.407867i	−0.514891	+	0.857256i	$0.672168\pi$
$822$	−15.3036	−	38.4061i	−0.533776	−	1.33957i
$823$	20.2114	−	13.7799i	0.704525	−	0.480337i	−0.157294	−	0.987552i	$-0.550277\pi$
$823$	20.2114	−	13.7799i	0.704525	−	0.480337i	0.861820	+	0.507214i	$0.169325\pi$
$824$	−1.12305	−	0.169273i	−0.0391233	−	0.00589689i
$825$	25.9328	−	20.9017i	0.902864	−	0.727702i
$826$	−49.2564	−	15.0364i	−1.71385	−	0.523183i
$827$	−15.1602	+	31.4804i	−0.527170	+	1.09468i	0.452071	+	0.891982i	$0.350685\pi$
$827$	−15.1602	+	31.4804i	−0.527170	+	1.09468i	−0.979241	+	0.202698i	$0.935029\pi$
$828$	−0.869121	+	6.20209i	−0.0302040	+	0.215538i
$829$	−16.7747	+	18.0788i	−0.582610	+	0.627904i	−0.953724	−	0.300683i	$-0.902785\pi$
$829$	−16.7747	+	18.0788i	−0.582610	+	0.627904i	0.371114	+	0.928587i	$0.378976\pi$
$830$	30.9983	+	2.32300i	1.07597	+	0.0806326i
$831$	37.8920	+	5.51047i	1.31446	+	0.191156i
$832$		−	13.3877i		−	0.464137i
$833$	7.49151	+	31.9620i	0.259565	+	1.10742i
$834$	−4.57771	−	19.5874i	−0.158513	−	0.678256i
$835$	7.48639	−	19.0750i	0.259077	−	0.660118i
$836$	−0.186734	+	2.49179i	−0.00645834	+	0.0861805i
$837$	5.73929	+	0.340397i	0.198379	+	0.0117659i
$838$	−33.2736	+	48.8033i	−1.14942	+	1.68588i
$839$	−19.9527	−	9.60870i	−0.688843	−	0.331729i	0.0565076	−	0.998402i	$-0.482003\pi$
$839$	−19.9527	−	9.60870i	−0.688843	−	0.331729i	−0.745350	+	0.666673i	$0.767718\pi$
$840$	−14.1903	+	25.0448i	−0.489613	+	0.864129i
$841$	−25.5381	+	12.2985i	−0.880625	+	0.424087i
$842$	−9.33238	+	61.9163i	−0.321615	+	2.13378i
$843$	14.2641	−	15.5339i	0.491282	−	0.535015i
$844$	−2.48661	+	0.374796i	−0.0855926	+	0.0129010i
$845$	−40.9865	+	38.0299i	−1.40998	+	1.30827i
$846$	12.7636	−	27.2227i	0.438823	−	0.935937i
$847$	−5.62045	−	1.26560i	−0.193121	−	0.0434864i
$848$	25.9294	+	20.6780i	0.890421	+	0.710087i
$849$	0.870946	+	2.77240i	0.0298908	+	0.0951487i
$850$	12.3363	−	39.9932i	0.423130	−	1.37175i
$851$	−20.0015	−	11.5479i	−0.685641	−	0.395855i
$852$	−1.86984	−	1.99436i	−0.0640596	−	0.0683257i
$853$	−6.77412	+	1.54615i	−0.231941	+	0.0529391i	−0.336912	−	0.941536i	$-0.609382\pi$
$853$	−6.77412	+	1.54615i	−0.231941	+	0.0529391i	0.104970	+	0.994475i	$0.466525\pi$
$854$	2.08528	−	14.1141i	0.0713566	−	0.482974i
$855$	−7.69047	+	1.83943i	−0.263009	+	0.0629072i
$856$	22.5224	−	6.94725i	0.769800	−	0.237452i
$857$	9.22293	+	23.4996i	0.315049	+	0.802733i	0.997424	+	0.0717301i	$0.0228520\pi$
$857$	9.22293	+	23.4996i	0.315049	+	0.802733i	−0.682375	+	0.731003i	$0.739053\pi$
$858$	−33.1615	−	48.1010i	−1.13211	−	1.64214i
$859$	−5.18207	−	16.7998i	−0.176810	−	0.573203i	−0.999985	−	0.00541629i	$-0.998276\pi$
$859$	−5.18207	−	16.7998i	−0.176810	−	0.573203i	0.823176	−	0.567787i	$-0.192200\pi$
$860$	4.51103	−	19.7641i	0.153825	−	0.673951i
$861$	31.0857	−	2.58301i	1.05940	−	0.0880286i
$862$	−10.5528	−	46.2350i	−0.359431	−	1.57477i
$863$	20.0390	−	11.5695i	0.682136	−	0.393831i	−0.118524	−	0.992951i	$-0.537816\pi$
$863$	20.0390	−	11.5695i	0.682136	−	0.393831i	0.800659	+	0.599120i	$0.204483\pi$
$864$	−3.81362	−	22.8803i	−0.129742	−	0.778402i
$865$	−27.9909	−	8.63405i	−0.951719	−	0.293567i
$866$	−4.16090	−	55.5234i	−0.141393	−	1.88676i
$867$	−7.81208	−	3.71231i	−0.265312	−	0.126077i
$868$	0.538934	−	2.39338i	0.0182926	−	0.0812366i
$869$	15.8325	−	12.6260i	0.537082	−	0.428309i
$870$	−6.28239	−	4.23570i	−0.212993	−	0.143604i
$871$	−0.0303506	−	0.201363i	−0.00102839	−	0.00682292i
$872$	9.82798	+	14.4150i	0.332818	+	0.488154i
$873$	5.99611	+	18.7463i	0.202938	+	0.634466i
$874$	−1.49557	−	3.10558i	−0.0505883	−	0.105048i
$875$	1.71212	−	1.85605i	0.0578801	−	0.0627460i
$876$	0.0436032	+	0.00971450i	0.00147322	+	0.000328223i
$877$	9.26278	+	6.31526i	0.312782	+	0.213251i	0.709528	−	0.704677i	$-0.248908\pi$
$877$	9.26278	+	6.31526i	0.312782	+	0.213251i	−0.396746	+	0.917928i	$0.629861\pi$
$878$	43.2256	+	40.1075i	1.45879	+	1.35356i
$879$	−31.0688	+	4.84779i	−1.04792	+	0.163512i
$880$	−53.9334	−	21.1673i	−1.81809	−	0.713549i
$881$	24.4719			0.824480			0.412240	−	0.911075i	$-0.364747\pi$
$881$	24.4719			0.824480			0.412240	+	0.911075i	$0.364747\pi$
$882$	−15.8643	−	31.6212i	−0.534178	−	1.06474i
$883$	−26.4571			−0.890352			−0.445176	−	0.895443i	$-0.646859\pi$
$883$	−26.4571			−0.890352			−0.445176	+	0.895443i	$0.646859\pi$
$884$	−20.1795	−	7.91986i	−0.678709	−	0.266374i
$885$	63.4532	−	9.90087i	2.13296	−	0.332814i
$886$	−3.13206	−	2.90613i	−0.105224	−	0.0976334i
$887$	16.4021	+	11.1828i	0.550728	+	0.375480i	0.806479	−	0.591263i	$-0.201370\pi$
$887$	16.4021	+	11.1828i	0.550728	+	0.375480i	−0.255751	+	0.966743i	$0.582323\pi$
$888$	30.6830	+	6.83596i	1.02965	+	0.229400i
$889$	−1.25283	+	4.10403i	−0.0420185	+	0.137645i
$890$	−26.9398	−	55.9410i	−0.903023	−	1.87515i
$891$	22.7138	+	23.4832i	0.760941	+	0.786718i
$892$	−7.08095	−	10.3859i	−0.237088	−	0.347744i
$893$	0.728296	+	4.83193i	0.0243715	+	0.161694i
$894$	3.11191	+	2.09810i	0.104078	+	0.0701711i
$895$	−39.0023	+	31.1033i	−1.30370	+	1.03967i
$896$	34.4397	−	0.100441i	1.15055	−	0.00335550i
$897$	21.4946	+	10.2143i	0.717685	+	0.341045i
$898$	−4.56335	−	60.8937i	−0.152281	−	2.03205i
$899$	−0.855581	−	0.263912i	−0.0285352	−	0.00880195i
$900$	−0.857466	+	13.2907i	−0.0285822	+	0.443023i
$901$	−27.0816	+	15.6356i	−0.902218	+	0.520896i
$902$	9.26279	+	40.5829i	0.308417	+	1.35126i
$903$	−23.7011	−	25.1321i	−0.788722	−	0.836345i
$904$	3.62410	−	15.8782i	0.120536	−	0.528101i
$905$	−10.6434	−	34.5051i	−0.353799	−	1.14699i
$906$	−1.42917	−	2.07303i	−0.0474811	−	0.0688717i
$907$	19.3190	+	49.2240i	0.641476	+	1.63445i	0.766457	+	0.642296i	$0.222018\pi$
$907$	19.3190	+	49.2240i	0.641476	+	1.63445i	−0.124981	+	0.992159i	$0.539887\pi$
$908$	−7.10841	+	2.19265i	−0.235901	+	0.0727658i
$909$	5.21011	+	21.7829i	0.172808	+	0.722494i
$910$	−53.8281	−	57.6746i	−1.78438	−	1.91189i
$911$	38.2933	−	8.74020i	1.26871	−	0.289576i	0.465384	−	0.885109i	$-0.345916\pi$
$911$	38.2933	−	8.74020i	1.26871	−	0.289576i	0.803331	+	0.595533i	$0.203059\pi$
$912$	4.83981	+	5.16212i	0.160262	+	0.170935i
$913$	18.0771	+	10.4368i	0.598264	+	0.345408i
$914$	−8.83102	+	28.6295i	−0.292104	+	0.946979i
$915$	5.33219	+	16.9735i	0.176277	+	0.561126i
$916$	1.76239	+	1.40546i	0.0582309	+	0.0464376i
$917$	−11.8079	+	24.7033i	−0.389930	+	0.815776i
$918$	40.1605	+	8.51123i	1.32549	+	0.280912i
$919$	−29.9808	+	27.8181i	−0.988974	+	0.917634i	−0.996605	−	0.0823368i	$-0.973762\pi$
$919$	−29.9808	+	27.8181i	−0.988974	+	0.917634i	0.00763021	+	0.999971i	$0.497571\pi$
$920$	15.4726	−	2.33212i	0.510116	−	0.0768877i
$921$	−23.7957	+	25.9139i	−0.784094	+	0.853892i
$922$	−0.365324	+	2.42377i	−0.0120313	+	0.0798226i
$923$	−9.35969	+	4.50739i	−0.308078	+	0.148363i
$924$	11.4545	−	7.94625i	0.376825	−	0.261413i
$925$	−44.2516	−	21.3105i	−1.45498	−	0.700684i
$926$	10.2533	−	15.0388i	0.336944	−	0.494206i
$927$	−0.495769	+	1.66850i	−0.0162832	+	0.0548006i
$928$	−0.269950	+	3.60223i	−0.00886154	+	0.118249i
$929$	4.77878	−	12.1761i	0.156787	−	0.399486i	−0.830798	−	0.556574i	$-0.812115\pi$
$929$	4.77878	−	12.1761i	0.156787	−	0.399486i	0.987585	+	0.157088i	$0.0502107\pi$
$930$	2.35774	+	10.0885i	0.0773134	+	0.330814i
$931$	4.99608	+	2.84576i	0.163740	+	0.0932660i
$932$		−	14.2657i		−	0.467287i
$933$	6.77931	+	0.985885i	0.221945	+	0.0322764i
$934$	−10.2386	−	0.767275i	−0.335017	−	0.0251060i
$935$	37.1577	−	40.0465i	1.21519	−	1.30966i
$936$	−32.0779	−	4.49518i	−1.04850	−	0.146930i
$937$	−0.254104	+	0.527653i	−0.00830122	+	0.0172377i	−0.905078	−	0.425245i	$-0.860188\pi$
$937$	−0.254104	+	0.527653i	−0.00830122	+	0.0172377i	0.896777	+	0.442483i	$0.145902\pi$
$938$	0.162644	−	0.0250000i	0.00531052	−	0.000816278i
$939$	−35.1594	+	28.3382i	−1.14738	+	0.924783i
$940$	15.8198	+	2.38445i	0.515985	+	0.0777722i
$941$	−42.9327	+	29.2710i	−1.39957	+	0.954208i	−0.400282	+	0.916392i	$0.631088\pi$
$941$	−42.9327	+	29.2710i	−1.39957	+	0.954208i	−0.999285	+	0.0378162i	$0.987960\pi$
$942$	−16.5274	−	41.4772i	−0.538491	−	1.35140i
$943$	−11.5329	−	12.4296i	−0.375564	−	0.404762i
$944$	−35.8317	−	44.9315i	−1.16622	−	1.46240i
$945$	34.9935	+	26.8639i	1.13834	+	0.873883i
$946$	28.7430	−	36.0426i	0.934516	−	1.17185i
$947$	41.2278	−	3.08960i	1.33973	−	0.100399i	0.614504	−	0.788914i	$-0.289356\pi$
$947$	41.2278	−	3.08960i	1.33973	−	0.100399i	0.725222	+	0.688516i	$0.241737\pi$
$948$	−0.563232	+	8.07778i	−0.0182929	+	0.262354i
$949$	0.0848769	−	0.147011i	0.00275522	−	0.00477218i
$950$	−3.66515	−	6.34822i	−0.118913	−	0.205963i
$951$	19.2493	+	39.4469i	0.624201	+	1.27915i
$952$	−8.80757	+	22.6352i	−0.285455	+	0.733611i
$953$	1.91482	+	0.437045i	0.0620271	+	0.0141573i	0.253422	−	0.967356i	$-0.418444\pi$
$953$	1.91482	+	0.437045i	0.0620271	+	0.0141573i	−0.191395	+	0.981513i	$0.561301\pi$
$954$	24.4645	−	23.1766i	0.792067	−	0.750369i
$955$	62.9850	−	24.7198i	2.03815	−	0.799914i
$956$	−8.66725	+	3.40165i	−0.280319	+	0.110017i
$957$	−2.56675	−	4.39297i	−0.0829713	−	0.142004i
$958$	54.9858	+	12.5502i	1.77651	+	0.405477i
$959$	−2.91041	−	37.3738i	−0.0939821	−	1.20686i
$960$	−12.1239	+	5.91624i	−0.391299	+	0.190946i
$961$	−14.8879	−	25.7865i	−0.480254	−	0.831824i
$962$	−43.0765	+	74.6107i	−1.38884	+	2.40555i
$963$	−5.75391	−	35.6608i	−0.185417	−	1.14915i
$964$	−2.62947	+	0.197051i	−0.0846894	+	0.00634660i
$965$	−18.4829	+	23.1768i	−0.594984	+	0.746087i
$966$	−8.20322	+	17.3933i	−0.263934	+	0.559620i
$967$	−23.9727	−	30.0608i	−0.770910	−	0.966691i	0.229067	−	0.973411i	$-0.426432\pi$
$967$	−23.9727	−	30.0608i	−0.770910	−	0.966691i	−0.999977	+	0.00672000i	$0.997861\pi$
$968$	−2.89923	−	3.12462i	−0.0931847	−	0.100429i
$969$	−6.19808	+	2.46974i	−0.199111	+	0.0793395i
$970$	−29.3038	+	19.9790i	−0.940890	+	0.641488i
$971$	−60.1242	−	9.06226i	−1.92948	−	0.290822i	−0.932039	−	0.362359i	$-0.881972\pi$
$971$	−60.1242	−	9.06226i	−1.92948	−	0.290822i	−0.997438	+	0.0715369i	$0.977210\pi$
$972$	−13.0593	+	0.338731i	−0.418878	+	0.0108648i
$973$	1.30996	−	18.1920i	0.0419954	−	0.583209i
$974$	−10.8079	+	22.4429i	−0.346308	+	0.719116i
$975$	47.2062	+	18.2451i	1.51181	+	0.584311i
$976$	10.8290	−	11.6709i	0.346628	−	0.373576i
$977$	18.7298	+	1.40361i	0.599220	+	0.0449053i	0.370887	−	0.928678i	$-0.379054\pi$
$977$	18.7298	+	1.40361i	0.599220	+	0.0449053i	0.228332	+	0.973583i	$0.426673\pi$
$978$	−9.16098	+	62.9943i	−0.292936	+	2.01433i
$979$		−	41.6931i		−	1.33252i
$980$	13.7245	−	12.8843i	0.438413	−	0.411573i
$981$	23.9685	−	11.8505i	0.765255	−	0.378356i
$982$	−19.0611	+	48.5668i	−0.608263	+	1.54983i
$983$	−0.860041	+	11.4765i	−0.0274311	+	0.366042i	0.966549	+	0.256482i	$0.0825633\pi$
$983$	−0.860041	+	11.4765i	−0.0274311	+	0.366042i	−0.993980	+	0.109560i	$0.965056\pi$
$984$	20.0461	+	11.4354i	0.639046	+	0.364547i
$985$	−6.96968	+	10.2226i	−0.222072	+	0.325720i
$986$	−5.76004	−	2.77389i	−0.183437	−	0.0883387i
$987$	18.3804	−	20.1342i	0.585056	−	0.640878i
$988$	−3.42080	+	1.64737i	−0.108830	+	0.0524098i
$989$	−2.79874	+	18.5684i	−0.0889947	+	0.590441i
$990$	−28.9057	+	51.2875i	−0.918685	+	1.63003i
$991$	46.5637	−	7.01835i	1.47915	−	0.222945i	0.640642	−	0.767840i	$-0.278668\pi$
$991$	46.5637	−	7.01835i	1.47915	−	0.222945i	0.838504	+	0.544895i	$0.183430\pi$
$992$	3.62079	−	3.35960i	0.114960	−	0.106667i
$993$	−13.8522	+	17.5561i	−0.439586	+	0.557127i
$994$	−3.66435	−	7.55268i	−0.116226	−	0.239557i
$995$	−37.9347	−	30.2519i	−1.20261	−	0.959049i
$996$	−7.96283	+	2.50151i	−0.252312	+	0.0792634i
$997$	−4.45979	+	14.4583i	−0.141243	+	0.457898i	−0.998362	−	0.0572209i	$-0.981776\pi$
$997$	−4.45979	+	14.4583i	−0.141243	+	0.457898i	0.857119	+	0.515119i	$0.172252\pi$
$998$	24.6879	+	14.2536i	0.781481	+	0.451188i
$999$	16.9010	−	45.1148i	0.534725	−	1.42737i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.2.o.b.101.5	✓	192
3.2	odd	2	inner	147.2.o.b.101.12	yes	192
49.33	odd	42	inner	147.2.o.b.131.12	yes	192
147.131	even	42	inner	147.2.o.b.131.5	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.2.o.b.101.5	✓	192	1.1	even	1	trivial
147.2.o.b.101.12	yes	192	3.2	odd	2	inner
147.2.o.b.131.5	yes	192	147.131	even	42	inner
147.2.o.b.131.12	yes	192	49.33	odd	42	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 147 = 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	147.o (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.56819 - 0.615471i) q^{2} +(-1.71134 + 0.267028i) q^{3} +(0.614325 + 0.570011i) q^{4} +(-2.65137 - 1.80767i) q^{5} +(2.84807 + 0.634530i) q^{6} +(2.29514 + 1.31619i) q^{7} +(0.849326 + 1.76364i) q^{8} +(2.85739 - 0.913953i) q^{9} +O(q^{10})\)	\(q+(-1.56819 - 0.615471i) q^{2} +(-1.71134 + 0.267028i) q^{3} +(0.614325 + 0.570011i) q^{4} +(-2.65137 - 1.80767i) q^{5} +(2.84807 + 0.634530i) q^{6} +(2.29514 + 1.31619i) q^{7} +(0.849326 + 1.76364i) q^{8} +(2.85739 - 0.913953i) q^{9} +(3.04529 + 4.46662i) q^{10} +(0.541036 + 3.58954i) q^{11} +(-1.20353 - 0.811442i) q^{12} +(-4.31240 + 3.43903i) q^{13} +(-2.78914 - 3.47663i) q^{14} +(5.02010 + 2.38556i) q^{15} +(-0.371690 - 4.95986i) q^{16} +(4.48139 + 1.38232i) q^{17} +(-5.04346 - 0.325385i) q^{18} +(0.711342 - 0.410693i) q^{19} +(-0.598410 - 2.62181i) q^{20} +(-4.27923 - 1.63958i) q^{21} +(1.36081 - 5.96209i) q^{22} +(0.734239 + 2.38034i) q^{23} +(-1.92443 - 2.79141i) q^{24} +(1.93536 + 4.93123i) q^{25} +(8.87931 - 2.73890i) q^{26} +(-4.64593 + 2.32709i) q^{27} +(0.659720 + 2.11682i) q^{28} +(0.788916 - 0.180065i) q^{29} +(-6.40425 - 6.83074i) q^{30} +(-0.958230 - 0.553234i) q^{31} +(-1.31580 + 4.26573i) q^{32} +(-1.88441 - 5.99846i) q^{33} +(-6.17691 - 4.92592i) q^{34} +(-3.70601 - 7.63855i) q^{35} +(2.27633 + 1.06728i) q^{36} +(-6.79657 + 6.30630i) q^{37} +(-1.36829 + 0.206237i) q^{38} +(6.46169 - 7.03689i) q^{39} +(0.936213 - 6.21137i) q^{40} +(-6.13274 + 2.95337i) q^{41} +(5.70154 + 5.20492i) q^{42} +(6.79183 + 3.27077i) q^{43} +(-1.71370 + 2.51354i) q^{44} +(-9.22812 - 2.74200i) q^{45} +(0.313603 - 4.18475i) q^{46} +(-2.17345 + 5.53786i) q^{47} +(1.96051 + 8.38877i) q^{48} +(3.53530 + 6.04166i) q^{49} -8.92429i q^{50} +(-8.03831 - 1.16898i) q^{51} +(-4.60950 - 0.345434i) q^{52} +(-4.53538 + 4.88798i) q^{53} +(8.71798 - 0.789899i) q^{54} +(5.05422 - 10.4952i) q^{55} +(-0.371967 + 5.16567i) q^{56} +(-1.10768 + 0.892786i) q^{57} +(-1.34800 - 0.203178i) q^{58} +(9.54680 - 6.50889i) q^{59} +(1.72418 + 4.32702i) q^{60} +(2.17722 + 2.34649i) q^{61} +(1.16219 + 1.45734i) q^{62} +(7.76104 + 1.66322i) q^{63} +(-1.51332 + 1.89764i) q^{64} +(17.6504 - 1.32271i) q^{65} +(-0.736764 + 10.5666i) q^{66} +(-0.0184595 + 0.0319729i) q^{67} +(1.96509 + 3.40364i) q^{68} +(-1.89215 - 3.87752i) q^{69} +(1.11044 + 14.2597i) q^{70} +(1.83619 + 0.419099i) q^{71} +(4.03874 + 4.26318i) q^{72} +(-0.0286487 + 0.0112438i) q^{73} +(14.5397 - 5.70641i) q^{74} +(-4.62885 - 7.92223i) q^{75} +(0.671095 + 0.153173i) q^{76} +(-3.48276 + 8.95059i) q^{77} +(-14.4642 + 7.05823i) q^{78} +(-2.78927 - 4.83116i) q^{79} +(-7.98031 + 13.8223i) q^{80} +(7.32938 - 5.22305i) q^{81} +(11.4350 - 0.856938i) q^{82} +(3.58517 - 4.49566i) q^{83} +(-1.69426 - 3.44644i) q^{84} +(-9.38301 - 11.7659i) q^{85} +(-8.63784 - 9.30938i) q^{86} +(-1.30202 + 0.518816i) q^{87} +(-5.87115 + 4.00288i) q^{88} +(-11.3571 - 1.71181i) q^{89} +(12.7839 + 9.97963i) q^{90} +(-14.4240 + 2.21710i) q^{91} +(-0.905760 + 1.88083i) q^{92} +(1.78759 + 0.690899i) q^{93} +(6.81678 - 7.34674i) q^{94} +(-2.62843 - 0.196973i) q^{95} +(1.11272 - 7.65148i) q^{96} +6.56063i q^{97} +(-1.82557 - 11.6504i) q^{98} +(4.82663 + 9.76224i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9}+O(q^{10}) \) 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9	\( 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27} - 70 q^{28} - q^{30} - 42 q^{31} - 14 q^{33} + 28 q^{34} + 10 q^{36} + 46 q^{37} + 51 q^{39} + 112 q^{40} - 28 q^{42} - 36 q^{43} - 35 q^{45} + 148 q^{46} + 28 q^{49} - 20 q^{51} - 28 q^{52} - 14 q^{54} + 182 q^{55} + 2 q^{57} + 126 q^{58} - 132 q^{60} - 168 q^{61} - 119 q^{63} - 4 q^{64} - 42 q^{66} - 26 q^{67} + 70 q^{69} + 28 q^{70} + 6 q^{72} - 28 q^{73} - 140 q^{75} - 252 q^{76} + 36 q^{78} - 10 q^{79} + 134 q^{81} + 42 q^{82} + 56 q^{84} - 76 q^{85} + 98 q^{87} - 20 q^{88} + 175 q^{90} + 178 q^{93} + 322 q^{96} - 136 q^{99}+O(q^{100}) \) 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9 - 28 * q^10 + 21 * q^12 - 28 * q^13 - 10 * q^15 - 20 * q^16 - 3 * q^18 - 42 * q^19 - 14 * q^21 - 34 * q^22 - 14 * q^24 - 16 * q^25 + 7 * q^27 - 70 * q^28 - q^30 - 42 * q^31 - 14 * q^33 + 28 * q^34 + 10 * q^36 + 46 * q^37 + 51 * q^39 + 112 * q^40 - 28 * q^42 - 36 * q^43 - 35 * q^45 + 148 * q^46 + 28 * q^49 - 20 * q^51 - 28 * q^52 - 14 * q^54 + 182 * q^55 + 2 * q^57 + 126 * q^58 - 132 * q^60 - 168 * q^61 - 119 * q^63 - 4 * q^64 - 42 * q^66 - 26 * q^67 + 70 * q^69 + 28 * q^70 + 6 * q^72 - 28 * q^73 - 140 * q^75 - 252 * q^76 + 36 * q^78 - 10 * q^79 + 134 * q^81 + 42 * q^82 + 56 * q^84 - 76 * q^85 + 98 * q^87 - 20 * q^88 + 175 * q^90 + 178 * q^93 + 322 * q^96 - 136 * q^99

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