LMFDB - Embedded newform 141.2.g.a.104.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [141,2,Mod(5,141)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(141, base_ring=CyclotomicField(46))

chi = DirichletCharacter(H, H._module([23, 1]))

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

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

chi := DirichletCharacter("141.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 141 = 3 \cdot 47 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	141.g (of order $46$, degree $22$, 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:	$1.12589066850$
Analytic rank:	$0$
Dimension:	$308$
Relative dimension:	$14$ over $\Q(\zeta_{46})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{46}]$

Embedding invariants

Embedding label			104.5
Character	$\chi$	$=$	141.104
Dual form			141.2.g.a.80.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37724 + 0.286193i) q^{2} +(1.49590 - 0.873089i) q^{3} +(-0.0195459 + 0.00848996i) q^{4} +(-1.25721 + 0.352255i) q^{5} +(-1.81034 + 1.63057i) q^{6} +(3.78296 + 3.07766i) q^{7} +(2.32289 - 1.63967i) q^{8} +(1.47543 - 2.61211i) q^{9} +O(q^{10})$	\(q+(-1.37724 + 0.286193i) q^{2} +(1.49590 - 0.873089i) q^{3} +(-0.0195459 + 0.00848996i) q^{4} +(-1.25721 + 0.352255i) q^{5} +(-1.81034 + 1.63057i) q^{6} +(3.78296 + 3.07766i) q^{7} +(2.32289 - 1.63967i) q^{8} +(1.47543 - 2.61211i) q^{9} +(1.63067 - 0.844944i) q^{10} +(0.611863 + 1.72162i) q^{11} +(-0.0218261 + 0.0297654i) q^{12} +(0.685047 - 4.98409i) q^{13} +(-6.09083 - 3.15602i) q^{14} +(-1.57312 + 1.62460i) q^{15} +(-2.70081 + 2.89186i) q^{16} +(3.60827 + 1.28238i) q^{17} +(-1.28445 + 4.01975i) q^{18} +(-0.272361 + 0.972069i) q^{19} +(0.0215827 - 0.0175588i) q^{20} +(8.34599 + 1.30102i) q^{21} +(-1.33540 - 2.19596i) q^{22} +(-0.699119 + 3.36434i) q^{23} +(2.04322 - 4.48087i) q^{24} +(-2.81559 + 1.71220i) q^{25} +(0.482940 + 7.06033i) q^{26} +(-0.0735082 - 5.19563i) q^{27} +(-0.100070 - 0.0280384i) q^{28} +(-7.31897 + 1.00597i) q^{29} +(1.70160 - 2.68767i) q^{30} +(-3.14722 - 2.93930i) q^{31} +(-0.0626322 + 0.102994i) q^{32} +(2.41841 + 2.04115i) q^{33} +(-5.33645 - 0.733479i) q^{34} +(-5.84010 - 2.53671i) q^{35} +(-0.00666185 + 0.0635822i) q^{36} +(-2.30900 - 4.45617i) q^{37} +(0.0969061 - 1.41672i) q^{38} +(-3.32679 - 8.05380i) q^{39} +(-2.34278 + 2.87966i) q^{40} +(4.61202 - 6.53374i) q^{41} +(-11.8668 + 0.596760i) q^{42} +(-0.100298 - 0.230909i) q^{43} +(-0.0265758 - 0.0284558i) q^{44} +(-0.934803 + 3.80370i) q^{45} -4.83358i q^{46} +(-6.30846 + 2.68389i) q^{47} +(-1.51529 + 6.68399i) q^{48} +(3.41455 + 16.4317i) q^{49} +(3.38772 - 3.16391i) q^{50} +(6.51724 - 1.23203i) q^{51} +(0.0289249 + 0.103234i) q^{52} +(-3.91003 - 2.76000i) q^{53} +(1.58819 + 7.13458i) q^{54} +(-1.37569 - 1.94891i) q^{55} +(13.8337 + 0.946253i) q^{56} +(0.441278 + 1.69191i) q^{57} +(9.79206 - 3.48010i) q^{58} +(3.71716 - 8.55776i) q^{59} +(0.0169551 - 0.0451098i) q^{60} +(-0.619003 + 1.19462i) q^{61} +(5.17568 + 3.14740i) q^{62} +(13.6207 - 5.34061i) q^{63} +(2.70697 - 7.61669i) q^{64} +(0.894418 + 6.50737i) q^{65} +(-3.91489 - 2.11902i) q^{66} +(2.58261 + 3.17445i) q^{67} +(-0.0814141 + 0.00556888i) q^{68} +(1.89156 + 5.64311i) q^{69} +(8.76920 + 1.82226i) q^{70} +(0.915057 + 0.190151i) q^{71} +(-0.855744 - 8.48685i) q^{72} +(-15.8881 + 1.08678i) q^{73} +(4.45537 + 5.47638i) q^{74} +(-2.71694 + 5.01955i) q^{75} +(-0.00292930 - 0.0213123i) q^{76} +(-2.98391 + 8.39591i) q^{77} +(6.88673 + 10.1399i) q^{78} +(4.23079 + 2.57280i) q^{79} +(2.37682 - 4.58706i) q^{80} +(-4.64621 - 7.70796i) q^{81} +(-4.48193 + 10.3184i) q^{82} +(9.28581 - 3.30018i) q^{83} +(-0.174175 + 0.0454277i) q^{84} +(-4.98809 - 0.341195i) q^{85} +(0.204219 + 0.289312i) q^{86} +(-10.0701 + 7.89494i) q^{87} +(4.24417 + 2.99586i) q^{88} +(0.743822 + 2.65474i) q^{89} +(0.198852 - 5.50614i) q^{90} +(17.9308 - 16.7462i) q^{91} +(-0.0148983 - 0.0716945i) q^{92} +(-7.27420 - 1.64909i) q^{93} +(7.92014 - 5.50180i) q^{94} -1.31804i q^{95} +(-0.00376828 + 0.208752i) q^{96} +(-3.01455 - 3.22779i) q^{97} +(-9.40530 - 21.6532i) q^{98} +(5.39981 + 0.941874i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 308 q - 19 q^{3} - 26 q^{4} - 15 q^{6} - 42 q^{7} - 19 q^{9}+O(q^{10}) $ 308 * q - 19 * q^3 - 26 * q^4 - 15 * q^6 - 42 * q^7 - 19 * q^9	$ 308 q - 19 q^{3} - 26 q^{4} - 15 q^{6} - 42 q^{7} - 19 q^{9} - 46 q^{10} - 28 q^{12} - 46 q^{13} - 23 q^{15} - 70 q^{16} - 14 q^{18} - 46 q^{19} - 27 q^{21} - 46 q^{22} - 42 q^{24} - 36 q^{25} - 43 q^{27} - 46 q^{28} - 23 q^{30} - 46 q^{31} - 23 q^{33} - 38 q^{34} + 69 q^{36} - 66 q^{37} + 46 q^{39} - 46 q^{40} + 162 q^{42} - 46 q^{43} + 92 q^{45} + 178 q^{48} - 92 q^{49} + 80 q^{51} - 46 q^{52} + 58 q^{54} + 14 q^{55} + 46 q^{57} - 46 q^{58} + 69 q^{60} - 78 q^{61} + 13 q^{63} + 66 q^{64} - 23 q^{66} - 46 q^{67} - 23 q^{69} - 46 q^{70} - 105 q^{72} - 46 q^{73} + 17 q^{75} - 23 q^{78} + 50 q^{79} + 5 q^{81} + 368 q^{82} + 62 q^{84} + 138 q^{85} - 23 q^{87} + 230 q^{88} - 23 q^{90} + 322 q^{91} + 198 q^{94} + 93 q^{96} + 26 q^{97} - 23 q^{99}+O(q^{100}) $ 308 * q - 19 * q^3 - 26 * q^4 - 15 * q^6 - 42 * q^7 - 19 * q^9 - 46 * q^10 - 28 * q^12 - 46 * q^13 - 23 * q^15 - 70 * q^16 - 14 * q^18 - 46 * q^19 - 27 * q^21 - 46 * q^22 - 42 * q^24 - 36 * q^25 - 43 * q^27 - 46 * q^28 - 23 * q^30 - 46 * q^31 - 23 * q^33 - 38 * q^34 + 69 * q^36 - 66 * q^37 + 46 * q^39 - 46 * q^40 + 162 * q^42 - 46 * q^43 + 92 * q^45 + 178 * q^48 - 92 * q^49 + 80 * q^51 - 46 * q^52 + 58 * q^54 + 14 * q^55 + 46 * q^57 - 46 * q^58 + 69 * q^60 - 78 * q^61 + 13 * q^63 + 66 * q^64 - 23 * q^66 - 46 * q^67 - 23 * q^69 - 46 * q^70 - 105 * q^72 - 46 * q^73 + 17 * q^75 - 23 * q^78 + 50 * q^79 + 5 * q^81 + 368 * q^82 + 62 * q^84 + 138 * q^85 - 23 * q^87 + 230 * q^88 - 23 * q^90 + 322 * q^91 + 198 * q^94 + 93 * q^96 + 26 * q^97 - 23 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/141\mathbb{Z}\right)^\times$.

$n$	$52$	$95$
$\chi(n)$	$e\left(\frac{19}{46}\right)$	$-1$

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 $

$2$	−1.37724	+	0.286193i	−0.973854	+	0.202369i	−0.663438	−	0.748232i	$-0.730903\pi$
$2$	−1.37724	+	0.286193i	−0.973854	+	0.202369i	−0.310416	+	0.950601i	$0.600468\pi$
$3$	1.49590	−	0.873089i	0.863658	−	0.504078i
$3$	1.49590	−	0.873089i	0.863658	−	0.504078i
$4$	−0.0195459	+	0.00848996i	−0.00977293	+	0.00424498i
$5$	−1.25721	+	0.352255i	−0.562243	+	0.157533i	−0.539164	−	0.842201i	$-0.681260\pi$
$5$	−1.25721	+	0.352255i	−0.562243	+	0.157533i	−0.0230786	+	0.999734i	$0.507347\pi$
$6$	−1.81034	+	1.63057i	−0.739067	+	0.665676i
$7$	3.78296	+	3.07766i	1.42982	+	1.16325i	0.959832	+	0.280576i	$0.0905253\pi$
$7$	3.78296	+	3.07766i	1.42982	+	1.16325i	0.469991	+	0.882671i	$0.344257\pi$
$8$	2.32289	−	1.63967i	0.821264	−	0.579712i
$9$	1.47543	−	2.61211i	0.491810	−	0.870703i
$10$	1.63067	−	0.844944i	0.515663	−	0.267195i
$11$	0.611863	+	1.72162i	0.184484	+	0.519087i	0.998052	−	0.0623817i	$-0.0198696\pi$
$11$	0.611863	+	1.72162i	0.184484	+	0.519087i	−0.813569	+	0.581469i	$0.802478\pi$
$12$	−0.0218261	+	0.0297654i	−0.00630066	+	0.00859253i
$13$	0.685047	−	4.98409i	0.189998	−	1.38234i	−0.614751	−	0.788722i	$-0.710743\pi$
$13$	0.685047	−	4.98409i	0.189998	−	1.38234i	0.804749	−	0.593616i	$-0.202300\pi$
$14$	−6.09083	−	3.15602i	−1.62784	−	0.843481i
$15$	−1.57312	+	1.62460i	−0.406177	+	0.419469i
$16$	−2.70081	+	2.89186i	−0.675203	+	0.722966i
$17$	3.60827	+	1.28238i	0.875134	+	0.311023i	0.734149	−	0.678989i	$-0.237582\pi$
$17$	3.60827	+	1.28238i	0.875134	+	0.311023i	0.140986	+	0.990012i	$0.454973\pi$
$18$	−1.28445	+	4.01975i	−0.302748	+	0.947464i
$19$	−0.272361	+	0.972069i	−0.0624839	+	0.223008i	−0.987681	−	0.156478i	$-0.949986\pi$
$19$	−0.272361	+	0.972069i	−0.0624839	+	0.223008i	0.925198	+	0.379486i	$0.123899\pi$
$20$	0.0215827	−	0.0175588i	0.00482604	−	0.00392627i
$21$	8.34599	+	1.30102i	1.82125	+	0.283905i
$22$	−1.33540	−	2.19596i	−0.284707	−	0.468181i
$23$	−0.699119	+	3.36434i	−0.145776	+	0.701514i	0.841210	+	0.540709i	$0.181844\pi$
$23$	−0.699119	+	3.36434i	−0.145776	+	0.701514i	−0.986986	+	0.160805i	$0.948591\pi$
$24$	2.04322	−	4.48087i	0.417071	−	0.914654i
$25$	−2.81559	+	1.71220i	−0.563119	+	0.342440i
$26$	0.482940	+	7.06033i	0.0947123	+	1.38464i
$27$	−0.0735082	−	5.19563i	−0.0141467	−	0.999900i
$28$	−0.100070	−	0.0280384i	−0.0189115	−	0.00529876i
$29$	−7.31897	+	1.00597i	−1.35910	+	0.186804i	−0.778632	−	0.627480i	$-0.784086\pi$
$29$	−7.31897	+	1.00597i	−1.35910	+	0.186804i	−0.580466	+	0.814284i	$0.697130\pi$
$30$	1.70160	−	2.68767i	0.310669	−	0.490699i
$31$	−3.14722	−	2.93930i	−0.565257	−	0.527914i	0.346820	−	0.937932i	$-0.387261\pi$
$31$	−3.14722	−	2.93930i	−0.565257	−	0.527914i	−0.912077	+	0.410018i	$0.865522\pi$
$32$	−0.0626322	+	0.102994i	−0.0110719	+	0.0182070i
$33$	2.41841	+	2.04115i	0.420991	+	0.355319i
$34$	−5.33645	−	0.733479i	−0.915194	−	0.125791i
$35$	−5.84010	−	2.53671i	−0.987158	−	0.428783i
$36$	−0.00666185	+	0.0635822i	−0.00111031	+	0.0105970i
$37$	−2.30900	−	4.45617i	−0.379597	−	0.732590i	0.619008	−	0.785385i	$-0.287535\pi$
$37$	−2.30900	−	4.45617i	−0.379597	−	0.732590i	−0.998605	+	0.0527951i	$0.983187\pi$
$38$	0.0969061	−	1.41672i	0.0157203	−	0.229822i
$39$	−3.32679	−	8.05380i	−0.532713	−	1.28964i
$40$	−2.34278	+	2.87966i	−0.370426	+	0.455315i
$41$	4.61202	−	6.53374i	0.720276	−	1.02040i	−0.277934	−	0.960600i	$-0.589650\pi$
$41$	4.61202	−	6.53374i	0.720276	−	1.02040i	0.998210	−	0.0597987i	$-0.0190459\pi$
$42$	−11.8668	+	0.596760i	−1.83108	+	0.0920821i
$43$	−0.100298	−	0.230909i	−0.0152953	−	0.0352133i	0.909395	−	0.415934i	$-0.136545\pi$
$43$	−0.100298	−	0.230909i	−0.0152953	−	0.0352133i	−0.924690	+	0.380721i	$0.875676\pi$
$44$	−0.0265758	−	0.0284558i	−0.00400646	−	0.00428987i
$45$	−0.934803	+	3.80370i	−0.139352	+	0.567023i
$46$		−	4.83358i		−	0.712673i
$47$	−6.30846	+	2.68389i	−0.920184	+	0.391486i
$47$	−6.30846	+	2.68389i	−0.920184	+	0.391486i
$48$	−1.51529	+	6.68399i	−0.218713	+	0.964750i
$49$	3.41455	+	16.4317i	0.487793	+	2.34739i
$50$	3.38772	−	3.16391i	0.479096	−	0.447445i
$51$	6.51724	−	1.23203i	0.912596	−	0.172519i
$52$	0.0289249	+	0.103234i	0.00401116	+	0.0143160i
$53$	−3.91003	−	2.76000i	−0.537084	−	0.379115i	0.276094	−	0.961131i	$-0.410960\pi$
$53$	−3.91003	−	2.76000i	−0.537084	−	0.379115i	−0.813178	+	0.582016i	$0.802264\pi$
$54$	1.58819	+	7.13458i	0.216126	+	0.970894i
$55$	−1.37569	−	1.94891i	−0.185498	−	0.262791i
$56$	13.8337	+	0.946253i	1.84861	+	0.126448i
$57$	0.441278	+	1.69191i	0.0584487	+	0.224099i
$58$	9.79206	−	3.48010i	1.28576	−	0.456959i
$59$	3.71716	−	8.55776i	0.483933	−	1.11413i	−0.486702	−	0.873568i	$-0.661800\pi$
$59$	3.71716	−	8.55776i	0.483933	−	1.11413i	0.970635	−	0.240558i	$-0.0773303\pi$
$60$	0.0169551	−	0.0451098i	0.00218890	−	0.00582365i
$61$	−0.619003	+	1.19462i	−0.0792552	+	0.152956i	−0.924213	−	0.381877i	$-0.875278\pi$
$61$	−0.619003	+	1.19462i	−0.0792552	+	0.152956i	0.844958	+	0.534833i	$0.179625\pi$
$62$	5.17568	+	3.14740i	0.657312	+	0.399720i
$63$	13.6207	−	5.34061i	1.71604	−	0.672854i
$64$	2.70697	−	7.61669i	0.338371	−	0.952086i
$65$	0.894418	+	6.50737i	0.110939	+	0.807140i
$66$	−3.91489	−	2.11902i	−0.481890	−	0.260834i
$67$	2.58261	+	3.17445i	0.315516	+	0.387821i	0.908842	−	0.417141i	$-0.136968\pi$
$67$	2.58261	+	3.17445i	0.315516	+	0.387821i	−0.593326	+	0.804963i	$0.702185\pi$
$68$	−0.0814141	+	0.00556888i	−0.00987291	+	0.000675326i
$69$	1.89156	+	5.64311i	0.227717	+	0.679351i
$70$	8.76920	+	1.82226i	1.04812	+	0.217802i
$71$	0.915057	+	0.190151i	0.108597	+	0.0225668i	0.257442	−	0.966294i	$-0.417121\pi$
$71$	0.915057	+	0.190151i	0.108597	+	0.0225668i	−0.148844	+	0.988861i	$0.547555\pi$
$72$	−0.855744	−	8.48685i	−0.100850	−	1.00018i
$73$	−15.8881	+	1.08678i	−1.85956	+	0.127198i	−0.954525	−	0.298131i	$-0.903637\pi$
$73$	−15.8881	+	1.08678i	−1.85956	+	0.127198i	−0.905039	+	0.425329i	$0.860158\pi$
$74$	4.45537	+	5.47638i	0.517926	+	0.636617i
$75$	−2.71694	+	5.01955i	−0.313725	+	0.579607i
$76$	−0.00292930	−	0.0213123i	−0.000336014	−	0.00244468i
$77$	−2.98391	+	8.39591i	−0.340048	+	0.956802i
$78$	6.88673	+	10.1399i	0.779768	+	1.14812i
$79$	4.23079	+	2.57280i	0.476001	+	0.289463i	0.737020	−	0.675871i	$-0.236232\pi$
$79$	4.23079	+	2.57280i	0.476001	+	0.289463i	−0.261019	+	0.965334i	$0.584059\pi$
$80$	2.37682	−	4.58706i	0.265737	−	0.512849i
$81$	−4.64621	−	7.70796i	−0.516246	−	0.856440i
$82$	−4.48193	+	10.3184i	−0.494947	+	1.13948i
$83$	9.28581	−	3.30018i	1.01925	−	0.362242i	0.227952	−	0.973672i	$-0.426797\pi$
$83$	9.28581	−	3.30018i	1.01925	−	0.362242i	0.791298	+	0.611431i	$0.209406\pi$
$84$	−0.174175	+	0.0454277i	−0.0190041	+	0.00495657i
$85$	−4.98809	−	0.341195i	−0.541034	−	0.0370078i
$86$	0.204219	+	0.289312i	0.0220215	+	0.0311973i
$87$	−10.0701	+	7.89494i	−1.07963	+	0.846427i
$88$	4.24417	+	2.99586i	0.452430	+	0.319360i
$89$	0.743822	+	2.65474i	0.0788450	+	0.281401i	0.992005	−	0.126200i	$-0.0402782\pi$
$89$	0.743822	+	2.65474i	0.0788450	+	0.281401i	−0.913160	+	0.407602i	$0.866365\pi$
$90$	0.198852	−	5.50614i	0.0209608	−	0.580398i
$91$	17.9308	−	16.7462i	1.87966	−	1.75548i
$92$	−0.0148983	−	0.0716945i	−0.00155325	−	0.00747467i
$93$	−7.27420	−	1.64909i	−0.754299	−	0.171003i
$94$	7.92014	−	5.50180i	0.816900	−	0.567467i
$95$		−	1.31804i		−	0.135228i
$96$	−0.00376828	+	0.208752i	−0.000384598	+	0.0213057i
$97$	−3.01455	−	3.22779i	−0.306081	−	0.327733i	0.559188	−	0.829041i	$-0.311113\pi$
$97$	−3.01455	−	3.22779i	−0.306081	−	0.327733i	−0.865269	+	0.501308i	$0.832852\pi$
$98$	−9.40530	−	21.6532i	−0.950079	−	2.18730i
$99$	5.39981	+	0.941874i	0.542701	+	0.0946619i
$100$	0.0404967	−	0.0573707i	0.00404967	−	0.00573707i
$101$	−3.00037	+	3.68795i	−0.298548	+	0.366964i	−0.902973	−	0.429697i	$-0.858620\pi$
$101$	−3.00037	+	3.68795i	−0.298548	+	0.366964i	0.604425	+	0.796662i	$0.293403\pi$
$102$	−8.62319	+	3.56199i	−0.853823	+	0.352690i
$103$	−0.904177	+	13.2186i	−0.0890912	+	1.30247i	0.711257	+	0.702932i	$0.248126\pi$
$103$	−0.904177	+	13.2186i	−0.0890912	+	1.30247i	−0.800348	+	0.599536i	$0.795352\pi$
$104$	−6.58098	−	12.7007i	−0.645318	−	1.24541i
$105$	−10.9510	+	1.30426i	−1.06871	+	0.127283i
$106$	6.17493	+	2.68215i	0.599762	+	0.260514i
$107$	−12.6450	−	1.73801i	−1.22244	−	0.168020i	−0.504057	−	0.863671i	$-0.668160\pi$
$107$	−12.6450	−	1.73801i	−1.22244	−	0.168020i	−0.718380	+	0.695650i	$0.755116\pi$
$108$	0.0455475	+	0.100929i	0.00438281	+	0.00971190i
$109$	2.19921	−	3.61644i	0.210646	−	0.346392i	−0.731358	−	0.681993i	$-0.761113\pi$
$109$	2.19921	−	3.61644i	0.210646	−	0.346392i	0.942004	+	0.335601i	$0.108939\pi$
$110$	2.45242	+	2.29040i	0.233829	+	0.218381i
$111$	−7.34467	−	4.65002i	−0.697125	−	0.441360i
$112$	−19.1172	+	2.62760i	−1.80641	+	0.248285i
$113$	13.6970	+	3.83773i	1.28851	+	0.361023i	0.844769	−	0.535132i	$-0.179738\pi$
$113$	13.6970	+	3.83773i	1.28851	+	0.361023i	0.443741	+	0.896155i	$0.353651\pi$
$114$	−1.09196	−	2.20387i	−0.102271	−	0.206412i
$115$	−0.306164	−	4.47597i	−0.0285500	−	0.417386i
$116$	0.134515	−	0.0818003i	0.0124894	−	0.00759497i
$117$	−12.0082	−	9.14309i	−1.11016	−	0.845279i
$118$	−2.67024	+	12.8499i	−0.245815	+	1.18293i
$119$	9.70319	+	15.9562i	0.889490	+	1.46270i
$120$	−0.990360	+	6.35315i	−0.0904071	+	0.579960i
$121$	5.94324	−	4.83518i	0.540294	−	0.439562i
$122$	0.510622	−	1.82243i	0.0462295	−	0.164995i
$123$	1.19458	−	13.8005i	0.107711	−	1.24435i
$124$	0.0864697	+	0.0307313i	0.00776520	+	0.00275975i
$125$	7.39248	−	7.91541i	0.661204	−	0.707976i
$126$	−17.2305	+	11.2534i	−1.53501	+	1.00254i
$127$	−12.0200	−	6.22824i	−1.06660	−	0.552667i	−0.165469	−	0.986215i	$-0.552914\pi$
$127$	−12.0200	−	6.22824i	−1.06660	−	0.552667i	−0.901130	+	0.433548i	$0.857261\pi$
$128$	−1.51547	+	11.0259i	−0.133950	+	0.974558i
$129$	−0.351640	−	0.257848i	−0.0309602	−	0.0227022i
$130$	−3.09419	−	8.70622i	−0.271379	−	0.763586i
$131$	3.45333	−	1.78937i	0.301718	−	0.156338i	−0.302516	−	0.953144i	$-0.597827\pi$
$131$	3.45333	−	1.78937i	0.301718	−	0.156338i	0.604235	+	0.796806i	$0.293479\pi$
$132$	−0.0645992	−	0.0193639i	−0.00562264	−	0.00168541i
$133$	−4.02203	+	2.83906i	−0.348754	+	0.246178i
$134$	−4.46537	−	3.63285i	−0.385750	−	0.313831i
$135$	1.92260	+	6.50613i	0.165471	+	0.559958i
$136$	10.4843	−	2.93756i	0.899020	−	0.251894i
$137$	−8.37316	+	3.63698i	−0.715368	+	0.310728i	−0.724543	−	0.689230i	$-0.757949\pi$
$137$	−8.37316	+	3.63698i	−0.715368	+	0.310728i	0.00917513	+	0.999958i	$0.497079\pi$
$138$	−4.22015	−	7.23055i	−0.359243	−	0.615506i
$139$	1.86780	−	0.388134i	0.158425	−	0.0329211i	−0.123577	−	0.992335i	$-0.539436\pi$
$139$	1.86780	−	0.388134i	0.158425	−	0.0329211i	0.282001	+	0.959414i	$0.409002\pi$
$140$	0.135686			0.0114676
$141$	−7.09355	+	9.52268i	−0.597385	+	0.801955i
$142$	−1.31467			−0.110325
$143$	8.99984	−	1.87019i	0.752605	−	0.156393i
$144$	3.56900	+	11.3216i	0.297417	+	0.943463i
$145$	8.84715	−	3.84286i	0.734716	−	0.319132i
$146$	21.5707	−	6.04382i	1.78520	−	0.500190i
$147$	19.4542	+	21.5990i	1.60455	+	1.78146i
$148$	0.0829641	+	0.0674963i	0.00681961	+	0.00554816i
$149$	−12.2692	+	8.66052i	−1.00513	+	0.709498i	−0.957222	−	0.289354i	$-0.906559\pi$
$149$	−12.2692	+	8.66052i	−1.00513	+	0.709498i	−0.0479069	+	0.998852i	$0.515255\pi$
$150$	2.30531	−	7.69068i	0.188228	−	0.627941i
$151$	−0.767067	+	0.397462i	−0.0624230	+	0.0323450i	−0.490992	−	0.871164i	$-0.663366\pi$
$151$	−0.767067	+	0.397462i	−0.0624230	+	0.0323450i	0.428569	+	0.903509i	$0.359018\pi$
$152$	0.961211	+	2.70459i	0.0779645	+	0.219371i
$153$	8.67346	−	7.53313i	0.701208	−	0.609017i
$154$	1.70670	−	12.4171i	0.137529	−	1.00060i
$155$	4.99211	+	2.58670i	0.400976	+	0.207769i
$156$	0.133402	+	0.129174i	0.0106807	+	0.0103422i
$157$	1.40814	−	1.50775i	0.112382	−	0.120331i	−0.672164	−	0.740402i	$-0.734635\pi$
$157$	1.40814	−	1.50775i	0.112382	−	0.120331i	0.784546	+	0.620071i	$0.212896\pi$
$158$	−6.56312	−	2.33253i	−0.522134	−	0.185566i
$159$	−8.25874	−	0.714878i	−0.654960	−	0.0566935i
$160$	0.0424618	−	0.151548i	0.00335690	−	0.0119809i
$161$	−12.9990	+	10.5755i	−1.02447	+	0.833467i
$162$	8.60491	+	9.28598i	0.676065	+	0.729576i
$163$	0.355062	+	0.583875i	0.0278106	+	0.0457326i	0.868019	−	0.496532i	$-0.165393\pi$
$163$	0.355062	+	0.583875i	0.0278106	+	0.0457326i	−0.840208	+	0.542264i	$0.817567\pi$
$164$	−0.0346746	+	0.166863i	−0.00270763	+	0.0130298i
$165$	−3.75946	−	1.71427i	−0.292674	−	0.133456i
$166$	−11.8443	+	7.20267i	−0.919295	+	0.559035i
$167$	−0.648053	−	9.47419i	−0.0501478	−	0.733135i	−0.952959	−	0.303098i	$-0.901979\pi$
$167$	−0.648053	−	9.47419i	−0.0501478	−	0.733135i	0.902811	−	0.430037i	$-0.141499\pi$
$168$	21.5200	−	10.6626i	1.66031	−	0.822636i
$169$	−11.8539	−	3.32131i	−0.911840	−	0.255486i
$170$	6.96743	−	0.957652i	0.534378	−	0.0734485i
$171$	2.13730	+	2.14566i	0.163443	+	0.164082i
$172$	0.00392082	+	0.00366179i	0.000298960	+	0.000279209i
$173$	−4.23422	+	6.96289i	−0.321922	+	0.529378i	−0.973348	−	0.229334i	$-0.926345\pi$
$173$	−4.23422	+	6.96289i	−0.321922	+	0.529378i	0.651426	+	0.758713i	$0.274171\pi$
$174$	11.6095	−	13.7552i	0.880114	−	1.04278i
$175$	−15.9208	−	2.18827i	−1.20350	−	0.165418i
$176$	−6.63121	−	2.88034i	−0.499846	−	0.217114i
$177$	−1.91119	−	16.0470i	−0.143654	−	1.20616i
$178$	−1.78419	−	3.44333i	−0.133731	−	0.258088i
$179$	0.910354	−	13.3089i	0.0680430	−	0.994754i	−0.830825	−	0.556534i	$-0.812131\pi$
$179$	0.910354	−	13.3089i	0.0680430	−	0.994754i	0.898868	−	0.438220i	$-0.144391\pi$
$180$	−0.0140218	−	0.0822831i	−0.00104512	−	0.00613302i
$181$	−10.6952	+	13.1462i	−0.794968	+	0.977147i	−0.999999	−	0.00160870i	$-0.999488\pi$
$181$	−10.6952	+	13.1462i	−0.794968	+	0.977147i	0.205031	+	0.978756i	$0.434271\pi$
$182$	−19.9024	+	28.1952i	−1.47526	+	2.08997i
$183$	0.117045	+	2.32748i	0.00865223	+	0.172052i
$184$	3.89245	+	8.96131i	0.286955	+	0.660637i
$185$	4.47261	+	4.78900i	0.328833	+	0.352094i
$186$	10.4903	+	0.189364i	0.769183	+	0.0138848i
$187$			6.99670i			0.511649i
$188$	0.100518	−	0.106018i	0.00733104	−	0.00773213i
$189$	15.7123	−	19.8811i	1.14290	−	1.44614i
$190$	0.377214	+	1.81525i	0.0273660	+	0.131692i
$191$	9.28849	−	8.67484i	0.672091	−	0.627689i	−0.270073	−	0.962840i	$-0.587048\pi$
$191$	9.28849	−	8.67484i	0.672091	−	0.627689i	0.942165	+	0.335150i	$0.108787\pi$
$192$	−2.60069	−	13.7572i	−0.187689	−	0.992842i
$193$	2.44434	+	8.72395i	0.175947	+	0.627964i	0.998262	+	0.0589311i	$0.0187692\pi$
$193$	2.44434	+	8.72395i	0.175947	+	0.627964i	−0.822315	+	0.569033i	$0.807318\pi$
$194$	5.07552	+	3.58270i	0.364401	+	0.257223i
$195$	7.01948	+	8.95347i	0.502675	+	0.641171i
$196$	−0.206245	−	0.292183i	−0.0147318	−	0.0208702i
$197$	−10.6928	−	0.731411i	−0.761834	−	0.0521109i	−0.317844	−	0.948143i	$-0.602959\pi$
$197$	−10.6928	−	0.731411i	−0.761834	−	0.0521109i	−0.443989	+	0.896032i	$0.646437\pi$
$198$	−7.70638	+	0.248205i	−0.547668	+	0.0176391i
$199$	9.59670	−	3.41067i	0.680292	−	0.241776i	0.0278474	−	0.999612i	$-0.491135\pi$
$199$	9.59670	−	3.41067i	0.680292	−	0.241776i	0.652445	+	0.757836i	$0.273743\pi$
$200$	−3.73286	+	8.59390i	−0.263953	+	0.607680i
$201$	6.63491	+	2.49381i	0.467990	+	0.175900i
$202$	3.07675	−	5.93786i	0.216480	−	0.417787i
$203$	−30.7834	−	18.7198i	−2.16057	−	1.31387i
$204$	−0.116925	+	0.0794123i	−0.00818640	+	0.00555997i
$205$	−3.49675	+	9.83891i	−0.244224	+	0.687179i
$206$	−2.53781	−	18.4639i	−0.176818	−	1.28644i
$207$	7.75653	+	6.79003i	0.539116	+	0.471939i
$208$	12.5631	+	15.4421i	0.871096	+	1.07072i
$209$	−1.84018	+	0.125872i	−0.127288	+	0.00870672i
$210$	14.7088	−	4.93038i	1.01501	−	0.340228i
$211$	19.0352	+	3.95556i	1.31044	+	0.272312i	0.806400	−	0.591371i	$-0.201413\pi$
$211$	19.0352	+	3.95556i	1.31044	+	0.272312i	0.504036	+	0.863683i	$0.331848\pi$
$212$	0.0998572	+	0.0207506i	0.00685822	+	0.00142515i
$213$	1.53485	−	0.514480i	0.105166	−	0.0352516i
$214$	17.9126	−	1.22525i	1.22448	−	0.0837566i
$215$	0.207435	+	0.254972i	0.0141469	+	0.0173889i
$216$	−8.68988	−	11.9483i	−0.591272	−	0.812981i
$217$	−2.85962	−	20.8053i	−0.194124	−	1.41236i
$218$	−1.99383	+	5.61010i	−0.135039	+	0.379964i
$219$	−22.8182	+	15.4975i	−1.54191	+	1.04722i
$220$	0.0434352	+	0.0264135i	0.00292840	+	0.00178080i
$221$	8.86333	−	17.1054i	0.596212	−	1.15064i
$222$	11.4462	+	4.30218i	0.768215	+	0.288744i
$223$	4.16656	−	9.59239i	0.279014	−	0.642354i	−0.719633	−	0.694354i	$-0.755690\pi$
$223$	4.16656	−	9.59239i	0.279014	−	0.642354i	0.998647	+	0.0520003i	$0.0165597\pi$
$224$	−0.553916	+	0.196862i	−0.0370101	+	0.0131534i
$225$	0.318240	+	9.88087i	0.0212160	+	0.658725i
$226$	−19.9624	−	1.36547i	−1.32788	−	0.0908295i
$227$	−4.80391	−	6.80560i	−0.318847	−	0.451703i	0.625708	−	0.780058i	$-0.284810\pi$
$227$	−4.80391	−	6.80560i	−0.318847	−	0.451703i	−0.944555	+	0.328354i	$0.893506\pi$
$228$	−0.0229894	−	0.0293234i	−0.00152251	−	0.00194199i
$229$	21.6568	+	15.2871i	1.43112	+	1.01020i	0.993834	+	0.110878i	$0.0353662\pi$
$229$	21.6568	+	15.2871i	1.43112	+	1.01020i	0.437290	+	0.899320i	$0.355938\pi$
$230$	1.70265	+	6.07685i	0.112270	+	0.400695i
$231$	2.86675	+	15.1646i	0.188618	+	0.997760i
$232$	−15.3517	+	14.3375i	−1.00789	+	0.941301i
$233$	6.14451	+	29.5690i	0.402540	+	1.93713i	0.344406	+	0.938821i	$0.388080\pi$
$233$	6.14451	+	29.5690i	0.402540	+	1.93713i	0.0581339	+	0.998309i	$0.481485\pi$
$234$	19.1549	+	9.15553i	1.25219	+	0.598516i
$235$	6.98567	−	5.59641i	0.455695	−	0.365070i
$236$			0.198827i			0.0129426i
$237$	8.57512	+	0.154793i	0.557014	+	0.0100549i
$238$	−17.9302	−	19.1985i	−1.16224	−	1.24446i
$239$	0.589801	+	1.35786i	0.0381510	+	0.0878325i	0.935235	−	0.354028i	$-0.115188\pi$
$239$	0.589801	+	1.35786i	0.0381510	+	0.0878325i	−0.897084	+	0.441860i	$0.854319\pi$
$240$	−0.449425	−	8.93697i	−0.0290103	−	0.576879i
$241$	5.92810	−	8.39820i	0.381862	−	0.540976i	−0.579962	−	0.814644i	$-0.696933\pi$
$241$	5.92810	−	8.39820i	0.381862	−	0.540976i	0.961824	+	0.273668i	$0.0882369\pi$
$242$	−6.80145	+	8.36011i	−0.437214	+	0.537408i
$243$	−13.6800	−	7.47378i	−0.877573	−	0.479443i
$244$	0.00195665	−	0.0286052i	0.000125262	−	0.00183126i
$245$	−10.0810	−	19.4554i	−0.644050	−	1.24296i
$246$	2.30440	+	19.3485i	0.146923	+	1.23361i
$247$	4.65830	+	2.02338i	0.296400	+	0.128745i
$248$	−12.1301	−	1.66725i	−0.770263	−	0.105870i
$249$	11.0093	−	13.0441i	0.697685	−	0.826635i
$250$	−7.91586	+	13.0171i	−0.500643	+	0.823273i
$251$	5.33243	+	4.98014i	0.336580	+	0.314344i	0.832501	−	0.554024i	$-0.186908\pi$
$251$	5.33243	+	4.98014i	0.336580	+	0.314344i	−0.495921	+	0.868368i	$0.665169\pi$
$252$	−0.220886	+	0.220026i	−0.0139145	+	0.0138603i
$253$	−6.21987	+	0.854902i	−0.391040	+	0.0537472i
$254$	18.3368	+	5.13774i	1.15055	+	0.322370i
$255$	−7.75957	+	3.84466i	−0.485923	+	0.240762i
$256$	0.0348981	+	0.510192i	0.00218113	+	0.0318870i
$257$	26.3298	−	16.0115i	1.64241	−	0.998771i	0.677740	−	0.735301i	$-0.262959\pi$
$257$	26.3298	−	16.0115i	1.64241	−	0.998771i	0.964668	−	0.263469i	$-0.0848668\pi$
$258$	0.558086	+	0.254481i	0.0347449	+	0.0158433i
$259$	4.97974	−	23.9638i	0.309426	−	1.48904i
$260$	−0.0727295	−	0.119599i	−0.00451049	−	0.00741719i
$261$	−8.17093	+	20.6022i	−0.505768	+	1.27524i
$262$	−4.24394	+	3.45270i	−0.262192	+	0.213309i
$263$	−1.41359	+	5.04515i	−0.0871654	+	0.311097i	−0.993853	−	0.110705i	$-0.964689\pi$
$263$	−1.41359	+	5.04515i	−0.0871654	+	0.311097i	0.906688	+	0.421802i	$0.138602\pi$
$264$	8.96451	+	0.775970i	0.551728	+	0.0477576i
$265$	5.88796	+	2.09258i	0.361695	+	0.128546i
$266$	4.72677	−	5.06113i	0.289817	−	0.310318i
$267$	3.43051	+	3.32180i	0.209944	+	0.203291i
$268$	−0.0774303	−	0.0401212i	−0.00472981	−	0.00245079i
$269$	−3.29593	+	23.9797i	−0.200956	+	1.46207i	0.568139	+	0.822933i	$0.307664\pi$
$269$	−3.29593	+	23.9797i	−0.200956	+	1.46207i	−0.769095	+	0.639134i	$0.779293\pi$
$270$	−4.50989	−	8.41024i	−0.274463	−	0.511831i
$271$	4.48622	+	12.6230i	0.272518	+	0.766793i	0.996993	+	0.0774919i	$0.0246912\pi$
$271$	4.48622	+	12.6230i	0.272518	+	0.766793i	−0.724475	+	0.689302i	$0.757918\pi$
$272$	−13.4537	+	6.97116i	−0.815752	+	0.422689i
$273$	12.2018	−	40.7059i	0.738485	−	2.46363i
$274$	10.4910	−	7.40533i	0.633782	−	0.447372i
$275$	−4.67051	−	3.79974i	−0.281642	−	0.229133i
$276$	−0.0848820	−	0.0942402i	−0.00510930	−	0.00567259i
$277$	−3.64439	+	1.02111i	−0.218970	+	0.0613526i	−0.377532	−	0.925996i	$-0.623227\pi$
$277$	−3.64439	+	1.02111i	−0.218970	+	0.0613526i	0.158562	+	0.987349i	$0.449314\pi$
$278$	−2.46132	+	1.06910i	−0.147620	+	0.0641206i
$279$	−12.3213	+	3.88415i	−0.737655	+	0.232538i
$280$	−17.7253	+	3.68335i	−1.05929	+	0.220122i
$281$	−19.4329			−1.15927			−0.579634	−	0.814877i	$-0.696804\pi$
$281$	−19.4329			−1.15927			−0.579634	+	0.814877i	$0.696804\pi$
$282$	7.04418	−	15.1451i	0.419475	−	0.901879i
$283$	−4.23927			−0.251999			−0.125999	−	0.992030i	$-0.540214\pi$
$283$	−4.23927			−0.251999			−0.125999	+	0.992030i	$0.540214\pi$
$284$	−0.0194999	+	0.00405214i	−0.00115711	+	0.000240450i
$285$	−1.15077	−	1.97165i	−0.0681654	−	0.116791i
$286$	−11.8597	+	5.15139i	−0.701278	+	0.304608i
$287$	37.5557	−	10.5226i	2.21684	−	0.621130i
$288$	0.176623	+	0.315563i	0.0104076	+	0.0185947i
$289$	−1.81197	−	1.47415i	−0.106587	−	0.0867147i
$290$	−11.0848	+	7.82453i	−0.650924	+	0.459472i
$291$	−7.32761	−	2.19648i	−0.429552	−	0.128760i
$292$	0.301320	−	0.156132i	0.0176334	−	0.00913691i
$293$	4.33748	+	12.2045i	0.253398	+	0.712994i	0.998918	+	0.0465105i	$0.0148101\pi$
$293$	4.33748	+	12.2045i	0.253398	+	0.712994i	−0.745520	+	0.666484i	$0.767799\pi$
$294$	−32.9745	−	24.1793i	−1.92311	−	1.41017i
$295$	−1.65875	+	12.0683i	−0.0965763	+	0.702645i
$296$	−12.6702	−	6.56517i	−0.736440	−	0.381593i
$297$	8.89991	−	3.30557i	0.516425	−	0.191808i
$298$	14.4190	−	15.4389i	0.835268	−	0.894354i
$299$	16.2893	+	5.78920i	0.942032	+	0.334798i
$300$	0.0104892	−	0.121178i	0.000605594	−	0.00699622i
$301$	0.331238	−	1.18220i	0.0190922	−	0.0681410i
$302$	0.942682	−	0.766929i	0.0542453	−	0.0441318i
$303$	−1.26834	+	8.13639i	−0.0728643	+	0.467423i
$304$	−2.07549	−	3.41301i	−0.119038	−	0.195749i
$305$	0.357408	−	1.71994i	0.0204651	−	0.0984836i
$306$	−9.78949	+	12.8572i	−0.559628	+	0.734997i
$307$	1.18164	−	0.718570i	0.0674397	−	0.0410110i	−0.485459	−	0.874259i	$-0.661348\pi$
$307$	1.18164	−	0.718570i	0.0674397	−	0.0410110i	0.552899	+	0.833248i	$0.313522\pi$
$308$	−0.0129579	−	0.189438i	−0.000738347	−	0.0107943i
$309$	10.1885	+	20.5631i	0.579602	+	1.16980i
$310$	−7.61562	−	2.13380i	−0.432538	−	0.121191i
$311$	−16.1770	+	2.22348i	−0.917315	+	0.126082i	−0.579352	−	0.815077i	$-0.696694\pi$
$311$	−16.1770	+	2.22348i	−0.917315	+	0.126082i	−0.337963	+	0.941159i	$0.609738\pi$
$312$	−20.9334	−	13.2532i	−1.18512	−	0.750315i
$313$	−0.557555	−	0.520720i	−0.0315149	−	0.0294329i	0.666637	−	0.745383i	$-0.267733\pi$
$313$	−0.557555	−	0.520720i	−0.0315149	−	0.0294329i	−0.698152	+	0.715950i	$0.745994\pi$
$314$	−1.50783	+	2.47953i	−0.0850920	+	0.139928i
$315$	−15.2428	+	11.5122i	−0.858836	+	0.648641i
$316$	−0.104537	−	0.0143683i	−0.00588069	−	0.000808282i
$317$	−3.36664	−	1.46234i	−0.189089	−	0.0821332i	0.301734	−	0.953392i	$-0.402434\pi$
$317$	−3.36664	−	1.46234i	−0.189089	−	0.0821332i	−0.490824	+	0.871259i	$0.663304\pi$
$318$	11.5788	−	1.37904i	0.649309	−	0.0773326i
$319$	−6.21010	−	11.9849i	−0.347699	−	0.671028i
$320$	−0.720227	+	10.5293i	−0.0402619	+	0.588608i
$321$	−20.4331	+	8.44031i	−1.14046	+	0.471092i
$322$	14.8761	−	18.2852i	0.829015	−	1.01900i
$323$	−2.22931	+	3.15822i	−0.124042	+	0.175728i
$324$	0.156255	+	0.111213i	0.00868081	+	0.00617848i
$325$	6.60495	+	15.2061i	0.366376	+	0.843483i
$326$	−0.656106	−	0.702518i	−0.0363383	−	0.0389089i
$327$	0.132316	−	7.32994i	0.00731708	−	0.405347i
$328$		−	22.7393i		−	1.25557i
$329$	−32.1247	−	9.26228i	−1.77109	−	0.510646i
$330$	5.66829	+	1.28502i	0.312029	+	0.0707383i
$331$	−6.14582	−	29.5753i	−0.337805	−	1.62561i	−0.714756	−	0.699374i	$-0.753462\pi$
$331$	−6.14582	−	29.5753i	−0.337805	−	1.62561i	0.376951	−	0.926233i	$-0.376973\pi$
$332$	−0.153481	+	0.143341i	−0.00842335	+	0.00786686i
$333$	−15.0468	−	0.543408i	−0.824557	−	0.0297786i
$334$	3.60397	+	12.8627i	0.197201	+	0.703818i
$335$	−4.36511	−	3.08123i	−0.238491	−	0.168346i
$336$	−26.3033	+	20.6217i	−1.43496	+	1.12500i
$337$	2.48965	+	3.52703i	0.135620	+	0.192130i	0.879112	−	0.476615i	$-0.158136\pi$
$337$	2.48965	+	3.52703i	0.135620	+	0.192130i	−0.743492	+	0.668745i	$0.766832\pi$
$338$	17.2762	+	1.18172i	0.939701	+	0.0642773i
$339$	23.8401	−	6.21788i	1.29482	−	0.337709i
$340$	0.100393	−	0.0356798i	0.00544459	−	0.00193501i
$341$	3.13468	−	7.21675i	0.169752	−	0.390809i
$342$	−3.55764	−	2.34340i	−0.192375	−	0.126716i
$343$	−21.9488	+	42.3593i	−1.18513	+	2.28719i
$344$	−0.611596	−	0.371920i	−0.0329751	−	0.0200526i
$345$	−4.36591	−	6.42829i	−0.235053	−	0.346087i
$346$	3.83880	−	10.8014i	0.206375	−	0.580684i
$347$	−0.613495	−	4.46351i	−0.0329342	−	0.239614i	0.966948	−	0.254974i	$-0.0820670\pi$
$347$	−0.613495	−	4.46351i	−0.0329342	−	0.239614i	−0.999882	+	0.0153604i	$0.995110\pi$
$348$	0.129802	−	0.239809i	0.00695811	−	0.0128551i
$349$	−2.48064	−	3.04911i	−0.132785	−	0.163215i	0.705014	−	0.709193i	$-0.250941\pi$
$349$	−2.48064	−	3.04911i	−0.132785	−	0.163215i	−0.837799	+	0.545978i	$0.816158\pi$
$350$	22.5531	−	1.54267i	1.20551	−	0.0824592i
$351$	−25.9458	−	3.19288i	−1.38489	−	0.170423i
$352$	−0.215639	−	0.0448103i	−0.0114936	−	0.00238840i
$353$	23.6948	+	4.92383i	1.26115	+	0.262069i	0.786215	−	0.617954i	$-0.212038\pi$
$353$	23.6948	+	4.92383i	1.26115	+	0.262069i	0.474932	+	0.880023i	$0.342473\pi$
$354$	7.22470	+	21.5535i	0.383988	+	1.14556i
$355$	−1.21740	+	0.0832727i	−0.0646131	+	0.00441965i
$356$	−0.0370773	−	0.0455741i	−0.00196509	−	0.00241542i
$357$	28.4462	+	15.3971i	1.50553	+	0.814904i
$358$	2.55514	+	18.5901i	0.135044	+	0.982515i
$359$	4.76493	−	13.4072i	0.251483	−	0.707606i	−0.747573	−	0.664179i	$-0.768781\pi$
$359$	4.76493	−	13.4072i	0.251483	−	0.707606i	0.999057	−	0.0434268i	$-0.0138275\pi$
$360$	4.06538	+	10.3683i	0.214265	+	0.546460i
$361$	15.3632	+	9.34259i	0.808591	+	0.491715i
$362$	10.9675	−	21.1663i	0.576438	−	1.11248i
$363$	4.66894	−	12.4219i	0.245056	−	0.651982i
$364$	−0.208299	+	0.479552i	−0.0109178	+	0.0251353i
$365$	19.5919	−	6.96298i	1.02549	−	0.364459i
$366$	−0.827308	−	3.17199i	−0.0432441	−	0.165803i
$367$	19.8361	+	1.35683i	1.03544	+	0.0708258i	0.576053	−	0.817412i	$-0.304592\pi$
$367$	19.8361	+	1.35683i	1.03544	+	0.0708258i	0.459383	+	0.888238i	$0.348070\pi$
$368$	−7.84103	−	11.1082i	−0.408742	−	0.579056i
$369$	−10.2621	−	21.6872i	−0.534225	−	1.12899i
$370$	−7.53043	−	5.31556i	−0.391488	−	0.276343i
$371$	−6.29712	−	22.4747i	−0.326930	−	1.16683i
$372$	0.156181	−	0.0295248i	0.00809761	−	0.00153079i
$373$	13.9716	−	13.0486i	0.723425	−	0.675631i	−0.231381	−	0.972863i	$-0.574324\pi$
$373$	13.9716	−	13.0486i	0.723425	−	0.675631i	0.954805	+	0.297232i	$0.0960634\pi$
$374$	−2.00241	−	9.63612i	−0.103542	−	0.498272i
$375$	4.14754	−	18.2950i	0.214178	−	0.944748i
$376$	−10.2531	+	16.5782i	−0.528765	+	0.854955i
$377$			37.1675i			1.91423i
$378$	−15.9498	+	31.8777i	−0.820368	+	1.63961i
$379$	2.38670	+	2.55553i	0.122597	+	0.131269i	0.789181	−	0.614161i	$-0.210505\pi$
$379$	2.38670	+	2.55553i	0.122597	+	0.131269i	−0.666584	+	0.745430i	$0.732244\pi$
$380$	0.0111901	+	0.0257622i	0.000574040	+	0.00132157i
$381$	−23.4185	+	1.17768i	−1.19976	+	0.0603342i
$382$	−10.3098	+	14.6056i	−0.527494	+	0.747288i
$383$	−7.42068	+	9.12124i	−0.379179	+	0.466074i	−0.929469	−	0.368900i	$-0.879735\pi$
$383$	−7.42068	+	9.12124i	−0.379179	+	0.466074i	0.550290	+	0.834974i	$0.314517\pi$
$384$	7.35957	+	17.8167i	0.375567	+	0.909206i
$385$	0.793909	−	11.6065i	0.0404614	−	0.591524i
$386$	−5.86317	−	11.3154i	−0.298427	−	0.575939i
$387$	−0.751143	−	0.0787012i	−0.0381827	−	0.00400061i
$388$	0.0863258	+	0.0374966i	0.00438253	+	0.00190360i
$389$	14.6821	+	2.01800i	0.744411	+	0.102317i	0.498396	−	0.866949i	$-0.333922\pi$
$389$	14.6821	+	2.01800i	0.744411	+	0.102317i	0.246014	+	0.969266i	$0.420879\pi$
$390$	−12.2299	−	10.3221i	−0.619286	−	0.522681i
$391$	−6.83697	+	11.2429i	−0.345761	+	0.568579i
$392$	34.8743	+	32.5703i	1.76142	+	1.64505i
$393$	3.60355	−	5.69178i	0.181775	−	0.287112i
$394$	14.9359	−	2.05289i	0.752461	−	0.103423i
$395$	−6.22528	−	1.74424i	−0.313228	−	0.0877624i
$396$	−0.113540	+	0.0274345i	−0.00570562	+	0.00137863i
$397$	−1.72220	−	25.1777i	−0.0864349	−	1.26363i	−0.815325	−	0.579003i	$-0.803442\pi$
$397$	−1.72220	−	25.1777i	−0.0864349	−	1.26363i	0.728891	−	0.684630i	$-0.240036\pi$
$398$	−12.2408	+	7.44381i	−0.613577	+	0.373125i
$399$	−3.53780	+	7.75853i	−0.177111	+	0.388413i
$400$	2.65294	−	12.7666i	0.132647	−	0.638332i
$401$	−6.47102	−	10.6411i	−0.323147	−	0.531393i	0.650484	−	0.759520i	$-0.274566\pi$
$401$	−6.47102	−	10.6411i	−0.323147	−	0.531393i	−0.973631	+	0.228127i	$0.926740\pi$
$402$	−9.85156	−	1.53571i	−0.491351	−	0.0765943i
$403$	−16.8057	+	13.6725i	−0.837152	+	0.681074i
$404$	0.0273342	−	0.0975571i	0.00135993	−	0.00485365i
$405$	8.55645	+	8.05391i	0.425173	+	0.400202i
$406$	47.7535	+	16.9716i	2.36997	+	0.842286i
$407$	6.25902	−	6.70178i	0.310248	−	0.332195i
$408$	13.1187	−	13.5480i	0.649472	−	0.670726i
$409$	−30.6409	−	15.8769i	−1.51510	−	0.785060i	−0.517590	−	0.855629i	$-0.673171\pi$
$409$	−30.6409	−	15.8769i	−1.51510	−	0.785060i	−0.997507	+	0.0705689i	$0.977519\pi$
$410$	2.00003	−	14.5513i	0.0987742	−	0.718636i
$411$	−9.35000	+	12.7511i	−0.461202	+	0.628964i
$412$	−0.0945526	−	0.266045i	−0.00465827	−	0.0131071i
$413$	40.3998	−	20.9335i	1.98794	−	1.03007i
$414$	−12.6258	−	7.13161i	−0.620526	−	0.350500i
$415$	−10.5117	+	7.42000i	−0.516001	+	0.364233i
$416$	0.470426	+	0.382720i	0.0230645	+	0.0187644i
$417$	2.45517	−	2.21137i	0.120230	−	0.108291i
$418$	2.49834	−	0.700001i	0.122198	−	0.0342382i
$419$	−3.76154	+	1.63387i	−0.183763	+	0.0798196i	−0.488279	−	0.872688i	$-0.662375\pi$
$419$	−3.76154	+	1.63387i	−0.183763	+	0.0798196i	0.304515	+	0.952507i	$0.401505\pi$
$420$	0.202973	−	0.118466i	0.00990408	−	0.00578057i
$421$	34.2543	−	7.11813i	1.66945	−	0.346917i	0.728395	−	0.685157i	$-0.240267\pi$
$421$	34.2543	−	7.11813i	1.66945	−	0.346917i	0.941060	+	0.338241i	$0.109832\pi$
$422$	−27.3480			−1.33128
$423$	−2.29709	+	20.4383i	−0.111688	+	0.993743i
$424$	−13.6080			−0.660865
$425$	−12.3551	+	2.56742i	−0.599311	+	0.124538i
$426$	−1.96662	+	1.14782i	−0.0952828	+	0.0556123i
$427$	−6.01830	+	2.61412i	−0.291246	+	0.126506i
$428$	0.261913	−	0.0733845i	0.0126600	−	0.00354718i
$429$	11.8300	−	10.6553i	0.571159	−	0.514442i
$430$	−0.358658	−	0.291790i	−0.0172960	−	0.0140714i
$431$	24.0483	−	16.9751i	1.15836	−	0.817663i	0.172468	−	0.985015i	$-0.444826\pi$
$431$	24.0483	−	16.9751i	1.15836	−	0.817663i	0.985897	+	0.167352i	$0.0535216\pi$
$432$	15.2236	+	13.8199i	0.732445	+	0.664908i
$433$	−3.15644	+	1.63553i	−0.151689	+	0.0785987i	−0.534228	−	0.845341i	$-0.679398\pi$
$433$	−3.15644	+	1.63553i	−0.151689	+	0.0785987i	0.382539	+	0.923939i	$0.375050\pi$
$434$	9.89272	+	27.8355i	0.474866	+	1.33614i
$435$	9.87929	−	13.4729i	0.473676	−	0.645975i
$436$	−0.0122819	+	0.0893577i	−0.000588198	+	0.00427946i
$437$	−3.07996	−	1.59591i	−0.147335	−	0.0763426i
$438$	26.9908	−	27.8741i	1.28967	−	1.33188i
$439$	−12.6051	+	13.4968i	−0.601609	+	0.644166i	−0.956841	−	0.290612i	$-0.906141\pi$
$439$	−12.6051	+	13.4968i	−0.601609	+	0.644166i	0.355232	+	0.934778i	$0.384402\pi$
$440$	−6.39114	−	2.27141i	−0.304686	−	0.108285i
$441$	47.9594	+	15.3247i	2.28378	+	0.729747i
$442$	−7.31145	+	26.0949i	−0.347770	+	1.24121i
$443$	16.3926	−	13.3363i	0.778834	−	0.633629i	−0.156386	−	0.987696i	$-0.549984\pi$
$443$	16.3926	−	13.3363i	0.778834	−	0.633629i	0.935220	+	0.354067i	$0.115202\pi$
$444$	0.183036	+	0.0285326i	0.00868652	+	0.00135410i
$445$	−1.87029	−	3.07556i	−0.0886601	−	0.145795i
$446$	−2.99307	+	14.4034i	−0.141726	+	0.682023i
$447$	−10.7920	+	23.6673i	−0.510445	+	1.11943i
$448$	33.6819	−	20.4824i	1.59132	−	0.967704i
$449$	0.243371	+	3.55796i	0.0114854	+	0.167911i	0.999873	+	0.0159550i	$0.00507885\pi$
$449$	0.243371	+	3.55796i	0.0114854	+	0.167911i	−0.988387	+	0.151956i	$0.951443\pi$
$450$	−3.26613	−	13.5172i	−0.153967	−	0.637208i
$451$	14.0705	+	3.94237i	0.662555	+	0.185639i
$452$	−0.300303	+	0.0412757i	−0.0141250	+	0.00194144i
$453$	−0.800435	+	1.26428i	−0.0376077	+	0.0594011i
$454$	8.56385	+	7.99807i	0.401921	+	0.375368i
$455$	−16.6440	+	27.3698i	−0.780281	+	1.28312i
$456$	3.79922	+	3.20657i	0.177915	+	0.150161i
$457$	26.9828	+	3.70870i	1.26220	+	0.173486i	0.736063	−	0.676913i	$-0.236683\pi$
$457$	26.9828	+	3.70870i	1.26220	+	0.173486i	0.526139	+	0.850399i	$0.323639\pi$
$458$	−34.2017	−	14.8559i	−1.59814	−	0.694170i
$459$	6.39754	−	18.8415i	0.298611	−	0.879447i
$460$	0.0439850	+	0.0848873i	0.00205081	+	0.00395789i
$461$	0.276914	−	4.04834i	0.0128972	−	0.188550i	−0.986756	−	0.162212i	$-0.948137\pi$
$461$	0.276914	−	4.04834i	0.0128972	−	0.188550i	0.999653	−	0.0263380i	$-0.00838463\pi$
$462$	−8.28822	−	20.0649i	−0.385603	−	0.933502i
$463$	−4.99469	+	6.13930i	−0.232123	+	0.285318i	−0.878542	−	0.477665i	$-0.841483\pi$
$463$	−4.99469	+	6.13930i	−0.232123	+	0.285318i	0.646419	+	0.762983i	$0.276266\pi$
$464$	16.8580	−	23.8824i	0.782615	−	1.10871i
$465$	9.72612	−	0.489110i	0.451038	−	0.0226820i
$466$	−16.9249	−	38.9650i	−0.784031	−	1.80502i
$467$	25.3931	+	27.1894i	1.17505	+	1.25818i	0.959508	+	0.281682i	$0.0908922\pi$
$467$	25.3931	+	27.1894i	1.17505	+	1.25818i	0.215546	+	0.976494i	$0.430847\pi$
$468$	0.312336	+	0.0767601i	0.0144377	+	0.00354824i
$469$			19.9572i			0.921539i
$470$	−8.01928	+	9.70684i	−0.369902	+	0.447743i
$471$	0.790035	−	3.48487i	0.0364029	−	0.160574i
$472$	−5.39738	−	25.9736i	−0.248435	−	1.19553i
$473$	0.336169	−	0.313960i	0.0154570	−	0.0144359i
$474$	−11.8543	+	2.24095i	−0.544485	+	0.102930i
$475$	−0.897519	−	3.20329i	−0.0411810	−	0.146977i
$476$	−0.325125	−	0.229498i	−0.0149021	−	0.0105190i
$477$	−12.9784	+	6.14123i	−0.594240	+	0.281188i
$478$	−1.20091	−	1.70129i	−0.0549281	−	0.0778154i
$479$	37.9982	+	2.59915i	1.73618	+	0.118758i	0.901725	−	0.432311i	$-0.142302\pi$
$479$	37.9982	+	2.59915i	1.73618	+	0.118758i	0.834459	+	0.551069i	$0.185780\pi$
$480$	−0.0687965	−	0.263774i	−0.00314012	−	0.0120396i
$481$	−23.7917	+	8.45558i	−1.08481	+	0.385541i
$482$	−5.76089	+	13.2629i	−0.262401	+	0.604109i
$483$	−10.2119	+	27.1692i	−0.464658	+	1.23624i
$484$	−0.0751151	+	0.144966i	−0.00341432	+	0.00658935i
$485$	4.92694	+	2.99614i	0.223721	+	0.136048i
$486$	20.9796	+	6.37805i	0.951652	+	0.289314i
$487$	−12.5761	+	35.3858i	−0.569878	+	1.60348i	0.210104	+	0.977679i	$0.432620\pi$
$487$	−12.5761	+	35.3858i	−0.569878	+	1.60348i	−0.779981	+	0.625803i	$0.784771\pi$
$488$	0.520914	+	3.78993i	0.0235807	+	0.171562i
$489$	1.04091	+	0.563417i	0.0470717	+	0.0254786i
$490$	19.4519	+	23.9096i	0.878747	+	1.08013i
$491$	−4.88670	+	0.334260i	−0.220534	+	0.0150849i	−0.178091	−	0.984014i	$-0.556992\pi$
$491$	−4.88670	+	0.334260i	−0.220534	+	0.0150849i	−0.0424426	+	0.999099i	$0.513514\pi$
$492$	0.0938169	+	0.279885i	0.00422959	+	0.0126182i
$493$	−27.6989	−	5.75589i	−1.24749	−	0.259232i
$494$	−6.99466	−	1.45351i	−0.314705	−	0.0653964i
$495$	−7.12049	+	0.717971i	−0.320042	+	0.0322704i
$496$	17.0001	−	1.16284i	0.763327	−	0.0522130i
$497$	2.87640	+	3.53557i	0.129024	+	0.158592i
$498$	−11.4293	+	21.1156i	−0.512158	+	0.946212i
$499$	−0.761295	−	5.53883i	−0.0340802	−	0.247952i	0.965858	−	0.259072i	$-0.0834168\pi$
$499$	−0.761295	−	5.53883i	−0.0340802	−	0.247952i	−0.999938	+	0.0111202i	$0.996460\pi$
$500$	−0.0772908	+	0.217475i	−0.00345655	+	0.00972580i
$501$	−9.24124	−	13.6066i	−0.412868	−	0.607899i
$502$	−8.76930	−	5.33273i	−0.391393	−	0.238011i
$503$	−11.8217	+	22.8149i	−0.527104	+	1.01726i	0.464207	+	0.885727i	$0.346339\pi$
$503$	−11.8217	+	22.8149i	−0.527104	+	1.01726i	−0.991311	+	0.131538i	$0.958008\pi$
$504$	22.8824	−	34.7391i	1.01926	−	1.54740i
$505$	2.47301	−	5.69343i	0.110047	−	0.253354i
$506$	8.32158	−	2.95749i	0.369939	−	0.131476i
$507$	−20.6321	+	5.38118i	−0.916303	+	0.238987i
$508$	0.287818	+	0.0196873i	0.0127699	+	0.000873482i
$509$	−2.91366	−	4.12772i	−0.129146	−	0.182958i	0.747259	−	0.664533i	$-0.231369\pi$
$509$	−2.91366	−	4.12772i	−0.129146	−	0.182958i	−0.876405	+	0.481575i	$0.840065\pi$
$510$	9.58646	−	7.51574i	0.424496	−	0.332803i
$511$	−63.4488	−	44.7870i	−2.80681	−	1.98126i
$512$	−6.19949	−	22.1263i	−0.273982	−	0.977853i
$513$	5.07053	+	1.34363i	0.223869	+	0.0593228i
$514$	−31.6800	+	29.5871i	−1.39735	+	1.30503i
$515$	−3.51957	−	16.9371i	−0.155091	−	0.746338i
$516$	0.00906223	+	0.00205445i	0.000398942	+	9.04419e-5i
$517$	−8.48055	−	9.21859i	−0.372974	−	0.405433i
$518$			34.4290i			1.51272i
$519$	−0.254753	+	14.1126i	−0.0111824	+	0.619476i
$520$	12.7476	+	13.6493i	0.559019	+	0.598563i
$521$	−15.1960	−	34.9848i	−0.665750	−	1.53271i	−0.836836	−	0.547454i	$-0.815597\pi$
$521$	−15.1960	−	34.9848i	−0.665750	−	1.53271i	0.171086	−	0.985256i	$-0.445272\pi$
$522$	5.35711	−	30.7126i	0.234474	−	1.34425i
$523$	−5.88474	+	8.33678i	−0.257322	+	0.364542i	−0.925038	−	0.379874i	$-0.875967\pi$
$523$	−5.88474	+	8.33678i	−0.257322	+	0.364542i	0.667717	+	0.744416i	$0.267272\pi$
$524$	−0.0523065	+	0.0642934i	−0.00228502	+	0.00280867i
$525$	−25.7265	+	10.6269i	−1.12280	+	0.463795i
$526$	0.502954	−	7.35293i	0.0219299	−	0.320603i
$527$	−7.58673	−	14.6417i	−0.330483	−	0.637803i
$528$	−12.4344	+	1.48094i	−0.541138	+	0.0644495i
$529$	10.2658	+	4.45907i	0.446340	+	0.193873i
$530$	−8.70801	−	1.19689i	−0.378252	−	0.0519895i
$531$	−16.8694	−	22.3360i	−0.732069	−	0.969300i
$532$	0.0545105	−	0.0896387i	0.00236333	−	0.00388633i
$533$	−29.4053	−	27.4626i	−1.27368	−	1.18954i
$534$	−5.67530	−	3.59311i	−0.245594	−	0.155489i
$535$	16.5097	−	2.26920i	0.713775	−	0.0981062i
$536$	11.2042	+	3.13926i	0.483946	+	0.135595i
$537$	−10.2581	−	20.7036i	−0.442668	−	0.893426i
$538$	−2.32354	−	33.9690i	−0.100175	−	1.46451i
$539$	−26.1999	+	15.9325i	−1.12851	+	0.686262i
$540$	−0.0928157	−	0.110845i	−0.00399415	−	0.00477001i
$541$	6.15448	−	29.6170i	0.264602	−	1.27333i	−0.611514	−	0.791233i	$-0.709439\pi$
$541$	6.15448	−	29.6170i	0.264602	−	1.27333i	0.876116	−	0.482100i	$-0.160126\pi$
$542$	−9.79121	−	16.1010i	−0.420569	−	0.691596i
$543$	−4.52117	+	29.0032i	−0.194022	+	1.24465i
$544$	−0.358072	+	0.291313i	−0.0153522	+	0.0124899i
$545$	−1.49096	+	5.32132i	−0.0638659	+	0.227940i
$546$	−5.15499	+	59.5538i	−0.220613	+	2.54867i
$547$	−20.0561	−	7.12794i	−0.857537	−	0.304769i	−0.130568	−	0.991439i	$-0.541680\pi$
$547$	−20.0561	−	7.12794i	−0.857537	−	0.304769i	−0.726969	+	0.686671i	$0.759071\pi$
$548$	0.132783	−	0.142176i	0.00567220	−	0.00607344i
$549$	2.20719	+	3.37948i	0.0942004	+	0.144233i
$550$	7.51986	+	3.89648i	0.320648	+	0.166146i
$551$	1.01553	−	7.38853i	0.0432630	−	0.314762i
$552$	13.6467	+	10.0068i	0.580844	+	0.425916i
$553$	8.08667	+	22.7537i	0.343880	+	0.967587i
$554$	4.72696	−	2.44931i	0.200829	−	0.104061i
$555$	10.8718	+	3.25887i	0.461482	+	0.138331i
$556$	−0.0332125	+	0.0234440i	−0.00140853	+	0.000994246i
$557$	−5.45574	−	4.43857i	−0.231167	−	0.188068i	0.508459	−	0.861086i	$-0.330215\pi$
$557$	−5.45574	−	4.43857i	−0.231167	−	0.188068i	−0.739626	+	0.673018i	$0.764998\pi$
$558$	15.8577	−	8.87566i	0.671310	−	0.375737i
$559$	−1.21958	+	0.341711i	−0.0515828	+	0.0144528i
$560$	23.1089	−	10.0376i	0.976527	−	0.424166i
$561$	6.10874	+	10.4664i	0.257911	+	0.441890i
$562$	26.7637	−	5.56155i	1.12896	−	0.234600i
$563$	22.2811			0.939034			0.469517	−	0.882923i	$-0.344428\pi$
$563$	22.2811			0.939034			0.469517	+	0.882923i	$0.344428\pi$
$564$	0.0578023	−	0.246353i	0.00243392	−	0.0103733i
$565$	−18.5720			−0.781328
$566$	5.83849	−	1.21325i	0.245410	−	0.0509968i
$567$	6.14610	−	43.4584i	0.258112	−	1.82508i
$568$	2.43736	−	1.05869i	0.102269	−	0.0444218i
$569$	−21.5905	+	6.04938i	−0.905121	+	0.253603i	−0.690703	−	0.723139i	$-0.742699\pi$
$569$	−21.5905	+	6.04938i	−0.905121	+	0.253603i	−0.214418	+	0.976742i	$0.568786\pi$
$570$	2.14915	+	2.38609i	0.0900180	+	0.0999424i
$571$	8.87451	+	7.21995i	0.371387	+	0.302146i	0.798432	−	0.602085i	$-0.205663\pi$
$571$	8.87451	+	7.21995i	0.371387	+	0.302146i	−0.427046	+	0.904230i	$0.640446\pi$
$572$	−0.160032	+	0.112963i	−0.00669127	+	0.00472321i
$573$	6.32073	−	21.0864i	0.264052	−	0.880896i
$574$	−48.7116	+	25.2403i	−2.03318	+	1.05351i
$575$	−3.79200	−	10.6697i	−0.158137	−	0.444956i
$576$	−15.9017	−	18.3088i	−0.662569	−	0.762866i
$577$	1.79253	−	13.0416i	0.0746240	−	0.542930i	−0.915455	−	0.402420i	$-0.868169\pi$
$577$	1.79253	−	13.0416i	0.0746240	−	0.542930i	0.990079	−	0.140510i	$-0.0448742\pi$
$578$	2.91741	+	1.51168i	0.121348	+	0.0628776i
$579$	11.2733	+	10.9160i	0.468501	+	0.453655i
$580$	−0.140299	+	0.150224i	−0.00582562	+	0.00623771i
$581$	45.2846	+	16.0942i	1.87872	+	0.667699i
$582$	10.7205	+	0.927967i	0.444378	+	0.0384655i
$583$	2.35926	−	8.42031i	0.0977106	−	0.348734i
$584$	−35.1243	+	28.5758i	−1.45346	+	1.18247i
$585$	18.3176	+	7.26486i	0.757340	+	0.300365i
$586$	−9.46658	−	15.5671i	−0.391061	−	0.643072i
$587$	−7.90098	+	38.0216i	−0.326108	+	1.56932i	0.422536	+	0.906346i	$0.361140\pi$
$587$	−7.90098	+	38.0216i	−0.326108	+	1.56932i	−0.748644	+	0.662972i	$0.769295\pi$
$588$	−0.563624	−	0.257006i	−0.0232434	−	0.0105987i
$589$	3.71438	−	2.25876i	0.153048	−	0.0930708i
$590$	−1.16938	−	17.0957i	−0.0481424	−	0.703818i
$591$	−16.6340	+	8.24170i	−0.684232	+	0.339018i
$592$	19.1228	+	5.35796i	0.785943	+	0.220211i
$593$	−8.44259	+	1.16041i	−0.346696	+	0.0476522i	−0.307414	−	0.951576i	$-0.599464\pi$
$593$	−8.44259	+	1.16041i	−0.346696	+	0.0476522i	−0.0392820	+	0.999228i	$0.512507\pi$
$594$	−11.3113	+	7.09965i	−0.464107	+	0.291302i
$595$	−17.8196	−	16.6424i	−0.730534	−	0.682271i
$596$	0.166284	−	0.273442i	0.00681125	−	0.0112006i
$597$	11.3779	−	13.4808i	0.465666	−	0.551732i
$598$	−24.0910	−	3.31123i	−0.985154	−	0.135406i
$599$	−40.8572	−	17.7468i	−1.66938	−	0.725113i	−0.669535	−	0.742781i	$-0.733506\pi$
$599$	−40.8572	−	17.7468i	−1.66938	−	0.725113i	−0.999844	+	0.0176674i	$0.994376\pi$
$600$	1.91926	+	16.1147i	0.0783536	+	0.657881i
$601$	20.9366	+	40.4057i	0.854020	+	1.64818i	0.757483	+	0.652855i	$0.226429\pi$
$601$	20.9366	+	40.4057i	0.854020	+	1.64818i	0.0965379	+	0.995329i	$0.469223\pi$
$602$	−0.117855	+	1.72297i	−0.00480339	+	0.0702231i
$603$	12.1025	−	2.06237i	0.492851	−	0.0839862i
$604$	0.0116185	−	0.0142811i	0.000472752	−	0.000581090i
$605$	−5.76870	+	8.17239i	−0.234531	+	0.332255i
$606$	−0.581772	−	11.5687i	−0.0236329	−	0.469947i
$607$	2.08797	+	4.80699i	0.0847482	+	0.195110i	0.954383	−	0.298586i	$-0.0965151\pi$
$607$	2.08797	+	4.80699i	0.0847482	+	0.195110i	−0.869634	+	0.493696i	$0.835645\pi$
$608$	−0.0830589	−	0.0889344i	−0.00336848	−	0.00360677i
$609$	−62.3929	−	1.12628i	−2.52829	−	0.0456391i
$610$			2.47106i			0.100050i
$611$	9.05516	+	33.2805i	0.366332	+	1.34639i
$612$	−0.105574	+	0.220879i	−0.00426759	+	0.00892850i
$613$	−4.32057	−	20.7917i	−0.174506	−	0.839771i	−0.971732	−	0.236089i	$-0.924134\pi$
$613$	−4.32057	−	20.7917i	−0.174506	−	0.839771i	0.797225	−	0.603682i	$-0.206300\pi$
$614$	−1.42175	+	1.32782i	−0.0573770	+	0.0535864i
$615$	3.35946	+	17.7710i	0.135467	+	0.716596i
$616$	6.83526	+	24.3954i	0.275400	+	0.982917i
$617$	−12.9266	−	9.12460i	−0.520406	−	0.367342i	0.286446	−	0.958096i	$-0.407526\pi$
$617$	−12.9266	−	9.12460i	−0.520406	−	0.367342i	−0.806852	+	0.590754i	$0.798830\pi$
$618$	−19.9170	−	25.4044i	−0.801178	−	1.02192i
$619$	11.0373	+	15.6362i	0.443625	+	0.628474i	0.975931	−	0.218078i	$-0.0699788\pi$
$619$	11.0373	+	15.6362i	0.443625	+	0.628474i	−0.532306	+	0.846552i	$0.678674\pi$
$620$	−0.119536	−	0.00817649i	−0.00480068	−	0.000328376i
$621$	17.5313	+	3.38506i	0.703506	+	0.135838i
$622$	21.6433	−	7.69202i	0.867816	−	0.308422i
$623$	−5.35654	+	12.3320i	−0.214605	+	0.494070i
$624$	32.2755	+	12.1312i	1.29206	+	0.485636i
$625$	1.07465	−	2.07398i	0.0429859	−	0.0829591i
$626$	0.916913	+	0.557587i	0.0366472	+	0.0222857i
$627$	−2.64282	+	1.79493i	−0.105544	+	0.0716826i
$628$	−0.0147225	+	0.0414253i	−0.000587494	+	0.00165305i
$629$	−2.61700	−	19.0401i	−0.104347	−	0.759178i
$630$	17.6983	−	20.2175i	0.705116	−	0.805483i
$631$	−15.8457	−	19.4770i	−0.630807	−	0.775366i	0.356482	−	0.934302i	$-0.383976\pi$
$631$	−15.8457	−	19.4770i	−0.630807	−	0.775366i	−0.987289	+	0.158936i	$0.949193\pi$
$632$	14.0462	−	0.960785i	0.558727	−	0.0382180i
$633$	31.9283	−	10.7023i	1.26903	−	0.425378i
$634$	5.05518	+	1.05048i	0.200767	+	0.0417198i
$635$	17.3056	+	3.59614i	0.686751	+	0.142709i
$636$	0.167493	−	0.0561435i	0.00664154	−	0.00222623i
$637$	84.2363	−	5.76192i	3.33756	−	0.228296i
$638$	11.9828	+	14.7288i	0.474403	+	0.583120i
$639$	1.84680	−	2.10967i	0.0730582	−	0.0834574i
$640$	−1.97864	−	14.3957i	−0.0782127	−	0.569040i
$641$	−15.1251	+	42.5580i	−0.597406	+	1.68094i	0.127286	+	0.991866i	$0.459373\pi$
$641$	−15.1251	+	42.5580i	−0.597406	+	1.68094i	−0.724692	+	0.689073i	$0.758018\pi$
$642$	25.7256	−	17.4721i	1.01531	−	0.689570i
$643$	9.05289	+	5.50519i	0.357011	+	0.217103i	0.686624	−	0.727013i	$-0.259092\pi$
$643$	9.05289	+	5.50519i	0.357011	+	0.217103i	−0.329612	+	0.944116i	$0.606918\pi$
$644$	0.164292	−	0.317069i	0.00647401	−	0.0124943i
$645$	0.532915	+	0.200303i	0.0209835	+	0.00788692i
$646$	2.16643	−	4.98763i	0.0852372	−	0.196236i
$647$	−10.7857	+	3.83325i	−0.424030	+	0.150700i	−0.538308	−	0.842748i	$-0.680936\pi$
$647$	−10.7857	+	3.83325i	−0.424030	+	0.150700i	0.114277	+	0.993449i	$0.463545\pi$
$648$	−23.4312	−	10.2865i	−0.920463	−	0.404090i
$649$	17.0076	+	1.16335i	0.667606	+	0.0456655i
$650$	−13.4485	−	19.0521i	−0.527492	−	0.747286i
$651$	−22.4426	−	28.6260i	−0.879595	−	1.12194i
$652$	−0.0118971	−	0.00839787i	−0.000465925	−	0.000328886i
$653$	8.24396	+	29.4231i	0.322611	+	1.15141i	0.933168	+	0.359442i	$0.117033\pi$
$653$	8.24396	+	29.4231i	0.322611	+	1.15141i	−0.610556	+	0.791973i	$0.709054\pi$
$654$	1.91555	+	10.1329i	0.0749039	+	0.396229i
$655$	−3.71125	+	3.46607i	−0.145011	+	0.135431i
$656$	6.43849	+	30.9837i	0.251381	+	1.20971i
$657$	−20.6030	+	43.1049i	−0.803801	+	1.68168i
$658$	46.8942	+	3.56248i	1.82813	+	0.138880i
$659$		−	42.5345i		−	1.65691i	−0.560057	−	0.828454i	$-0.689221\pi$
$659$		−	42.5345i		−	1.65691i	0.560057	−	0.828454i	$-0.310779\pi$
$660$	0.0880360	+	0.00158917i	0.00342680	+	6.18586e-5i
$661$	10.8608	+	11.6291i	0.422437	+	0.452320i	0.906181	−	0.422890i	$-0.138984\pi$
$661$	10.8608	+	11.6291i	0.422437	+	0.452320i	−0.483744	+	0.875210i	$0.660723\pi$
$662$	16.9285	+	38.9734i	0.657946	+	1.51474i
$663$	−1.67594	−	33.3265i	−0.0650879	−	1.29429i
$664$	16.1587	−	22.8916i	0.627078	−	0.888367i
$665$	4.05648	−	4.98608i	0.157303	−	0.193352i
$666$	20.8785	−	3.55788i	0.809025	−	0.137865i
$667$	1.73240	−	25.3268i	0.0670789	−	0.980659i
$668$	0.0931023	+	0.179679i	0.00360224	+	0.00695200i
$669$	−2.14225	−	17.9870i	−0.0828243	−	0.695419i
$670$	6.89362	+	2.99432i	0.266324	+	0.115681i
$671$	−2.43543	−	0.334742i	−0.0940186	−	0.0129226i
$672$	−0.656725	+	0.778104i	−0.0253337	+	0.0300160i
$673$	−21.2506	+	34.9451i	−0.819150	+	1.34704i	0.116169	+	0.993229i	$0.462939\pi$
$673$	−21.2506	+	34.9451i	−0.819150	+	1.34704i	−0.935319	+	0.353806i	$0.884887\pi$
$674$	−4.43825	−	4.14504i	−0.170955	−	0.159661i
$675$	9.10294	+	14.5029i	0.350372	+	0.558218i
$676$	0.259893	−	0.0357215i	0.00999588	−	0.00137390i
$677$	−41.3637	−	11.5896i	−1.58974	−	0.445423i	−0.642586	−	0.766213i	$-0.722139\pi$
$677$	−41.3637	−	11.5896i	−1.58974	−	0.445423i	−0.947150	+	0.320790i	$0.896052\pi$
$678$	−31.0539	+	15.3864i	−1.19262	+	0.590910i
$679$	−1.46984	−	21.4884i	−0.0564074	−	0.824648i
$680$	−12.1462	+	7.38628i	−0.465786	+	0.283251i
$681$	−13.1281	−	5.98624i	−0.503069	−	0.229393i
$682$	−2.25181	+	10.8363i	−0.0862263	+	0.414944i
$683$	5.36683	+	8.82537i	0.205356	+	0.337694i	0.940248	−	0.340491i	$-0.110593\pi$
$683$	5.36683	+	8.82537i	0.205356	+	0.337694i	−0.734892	+	0.678184i	$0.762767\pi$
$684$	−0.0599919	−	0.0237931i	−0.00229385	−	0.000909751i
$685$	9.24571	−	7.52194i	0.353260	−	0.287399i
$686$	18.1058	−	64.6205i	0.691283	−	2.46722i
$687$	45.7434	+	3.95956i	1.74522	+	0.151067i
$688$	0.938644	+	0.333594i	0.0357855	+	0.0127182i
$689$	−16.4346	+	17.5972i	−0.626110	+	0.670400i
$690$	7.85263	+	7.60378i	0.298944	+	0.289471i
$691$	33.5246	+	17.3710i	1.27533	+	0.660825i	0.957804	−	0.287423i	$-0.0927984\pi$
$691$	33.5246	+	17.3710i	1.27533	+	0.660825i	0.317531	+	0.948248i	$0.397146\pi$
$692$	0.0236469	−	0.172044i	0.000898920	−	0.00654013i
$693$	17.5285	+	20.1819i	0.665851	+	0.766645i
$694$	2.12236	+	5.97174i	0.0805635	+	0.226684i
$695$	−2.21150	+	1.14591i	−0.0838871	+	0.0434668i
$696$	−10.4467	+	34.8508i	−0.395980	+	1.32102i
$697$	25.0201	−	17.6611i	0.947706	−	0.668964i
$698$	4.28906	+	3.48941i	0.162343	+	0.132076i
$699$	35.0079	+	38.8675i	1.32412	+	1.47011i
$700$	0.329765	−	0.0923958i	0.0124639	−	0.00349223i
$701$	20.6820	−	8.98347i	0.781149	−	0.339301i	0.0300999	−	0.999547i	$-0.490417\pi$
$701$	20.6820	−	8.98347i	0.781149	−	0.339301i	0.751050	+	0.660246i	$0.229548\pi$
$702$	36.6474	−	3.02817i	1.38317	−	0.114291i
$703$	4.96058	−	1.03082i	0.187092	−	0.0388782i
$704$	14.7693			0.556639
$705$	5.56370	−	14.4708i	0.209541	−	0.545001i
$706$	−34.0425			−1.28121
$707$	−22.7005	+	4.71722i	−0.853740	+	0.177409i
$708$	0.173594	+	0.297426i	0.00652406	+	0.0111779i
$709$	−40.7400	+	17.6959i	−1.53002	+	0.664583i	−0.984797	−	0.173706i	$-0.944426\pi$
$709$	−40.7400	+	17.6959i	−1.53002	+	0.664583i	−0.545226	+	0.838289i	$0.683556\pi$
$710$	1.65282	−	0.463099i	0.0620293	−	0.0173798i
$711$	12.9627	−	7.25529i	0.486138	−	0.272095i
$712$	6.08071	+	4.94703i	0.227884	+	0.185398i
$713$	12.0891	−	8.53341i	0.452740	−	0.319579i
$714$	−43.5837	−	13.0644i	−1.63108	−	0.488924i
$715$	−10.6559	+	5.52146i	−0.398510	+	0.206491i
$716$	0.0951985	+	0.267863i	0.00355773	+	0.0100105i
$717$	2.06781	+	1.51627i	0.0772239	+	0.0566261i
$718$	−2.72538	+	19.8286i	−0.101710	+	0.739998i
$719$	23.4410	+	12.1462i	0.874203	+	0.452975i	0.837555	−	0.546353i	$-0.183984\pi$
$719$	23.4410	+	12.1462i	0.874203	+	0.452975i	0.0366476	+	0.999328i	$0.488332\pi$
$720$	−8.47506	−	12.9764i	−0.315847	−	0.483602i
$721$	−44.1029	+	47.2226i	−1.64248	+	1.75866i
$722$	−23.8326	−	8.47011i	−0.886958	−	0.315225i
$723$	1.53546	−	17.7386i	0.0571043	−	0.659707i
$724$	0.0974364	−	0.347755i	0.00362119	−	0.0129242i
$725$	18.8848	−	15.3640i	0.701365	−	0.570603i
$726$	−2.87517	+	18.4442i	−0.106707	+	0.684527i
$727$	12.0612	+	19.8337i	0.447324	+	0.735593i	0.994868	−	0.101184i	$-0.0322632\pi$
$727$	12.0612	+	19.8337i	0.447324	+	0.735593i	−0.547544	+	0.836777i	$0.684437\pi$
$728$	14.1930	−	68.3003i	0.526026	−	2.53138i
$729$	−26.9892	+	0.763843i	−0.999600	+	0.0282905i
$730$	−24.9900	+	15.1968i	−0.924921	+	0.562457i
$731$	−0.0657891	−	0.961803i	−0.00243330	−	0.0355736i
$732$	−0.0220480	−	0.0444989i	−0.000814916	−	0.00164473i
$733$	−32.9745	−	9.23901i	−1.21794	−	0.341251i	−0.399979	−	0.916524i	$-0.630983\pi$
$733$	−32.9745	−	9.23901i	−1.21794	−	0.341251i	−0.817961	+	0.575274i	$0.804896\pi$
$734$	−27.7073	+	3.80829i	−1.02270	+	0.140566i
$735$	−32.0664	−	20.3017i	−1.18279	−	0.748840i
$736$	−0.302721	−	0.282721i	−0.0111584	−	0.0104212i
$737$	−3.88499	+	6.38859i	−0.143105	+	0.235327i
$738$	20.3401	+	26.9314i	0.748730	+	0.991359i
$739$	9.73548	+	1.33811i	0.358126	+	0.0492232i	0.312987	−	0.949758i	$-0.398670\pi$
$739$	9.73548	+	1.33811i	0.358126	+	0.0492232i	0.0451388	+	0.998981i	$0.485627\pi$
$740$	−0.128079	−	0.0556328i	−0.00470830	−	0.00204510i
$741$	8.73494	−	1.04033i	0.320886	−	0.0382175i
$742$	15.1047	+	29.1508i	0.554512	+	1.07016i
$743$	2.03954	−	29.8171i	0.0748236	−	1.09388i	−0.796973	−	0.604014i	$-0.793567\pi$
$743$	2.03954	−	29.8171i	0.0748236	−	1.09388i	0.871797	−	0.489867i	$-0.162955\pi$
$744$	−19.6011	+	8.09664i	−0.718611	+	0.296837i
$745$	12.3742	−	15.2100i	0.453357	−	0.557251i
$746$	−15.5079	+	21.9696i	−0.567783	+	0.804365i
$747$	5.08015	−	29.1247i	0.185873	−	1.06562i
$748$	−0.0594017	−	0.136756i	−0.00217194	−	0.00500031i
$749$	−42.4864	−	45.4918i	−1.55242	−	1.66224i
$750$	−0.476260	+	26.3835i	−0.0173905	+	0.963389i
$751$			15.4578i			0.564062i	0.959405	+	0.282031i	$0.0910081\pi$
$751$			15.4578i			0.564062i	−0.959405	+	0.282031i	$0.908992\pi$
$752$	9.27653	−	25.4919i	0.338280	−	0.929594i
$753$	12.3249	+	2.79410i	0.449144	+	0.101823i
$754$	−10.6371	−	51.1885i	−0.387380	−	1.86418i
$755$	0.824359	−	0.769897i	0.0300015	−	0.0280194i
$756$	−0.138321	+	0.521990i	−0.00503069	+	0.0189846i
$757$	−7.72516	−	27.5715i	−0.280776	−	1.00210i	−0.962676	−	0.270656i	$-0.912759\pi$
$757$	−7.72516	−	27.5715i	−0.280776	−	1.00210i	0.681900	−	0.731445i	$-0.261154\pi$
$758$	−4.01843	−	2.83652i	−0.145956	−	0.103027i
$759$	−8.55790	+	6.70935i	−0.310632	+	0.243534i
$760$	−2.16115	−	3.06165i	−0.0783932	−	0.111058i
$761$	1.89947	+	0.129927i	0.0688556	+	0.00470985i	0.102630	−	0.994720i	$-0.467274\pi$
$761$	1.89947	+	0.129927i	0.0688556	+	0.00470985i	−0.0337740	+	0.999429i	$0.510753\pi$
$762$	31.9157	−	8.32415i	1.15619	−	0.301552i
$763$	19.4497	−	6.91242i	0.704126	−	0.250246i
$764$	−0.107902	+	0.248416i	−0.00390377	+	0.00898738i
$765$	−8.25082	+	12.5260i	−0.298309	+	0.452879i
$766$	7.60960	−	14.6859i	0.274946	−	0.530622i
$767$	−40.1062	−	24.3891i	−1.44815	−	0.880640i
$768$	0.497647	+	0.732726i	0.0179573	+	0.0264400i
$769$	−0.648844	+	1.82567i	−0.0233979	+	0.0658355i	−0.953385	−	0.301757i	$-0.902427\pi$
$769$	−0.648844	+	1.82567i	−0.0233979	+	0.0658355i	0.929987	+	0.367593i	$0.119818\pi$
$770$	2.22831	+	16.2122i	0.0803028	+	0.584246i
$771$	25.4073	−	46.9399i	0.915020	−	1.69050i
$772$	−0.121843	−	0.149765i	−0.00438522	−	0.00539015i
$773$	−16.3680	+	1.11960i	−0.588714	+	0.0402692i	−0.359562	−	0.933121i	$-0.617074\pi$
$773$	−16.3680	+	1.11960i	−0.588714	+	0.0402692i	−0.229153	+	0.973390i	$0.573596\pi$
$774$	1.05703	−	0.106582i	0.0379940	−	0.00383100i
$775$	13.8940	+	2.88720i	0.499086	+	0.103711i
$776$	−12.2950	−	2.55493i	−0.441364	−	0.0917165i
$777$	−13.4734	−	40.1952i	−0.483354	−	1.44199i
$778$	−20.7982	+	1.42264i	−0.745653	+	0.0510041i
$779$	5.09511	+	6.26273i	0.182551	+	0.224386i
$780$	−0.213216	−	0.115408i	−0.00763437	−	0.00413227i
$781$	0.232522	+	1.69172i	0.00832029	+	0.0605346i
$782$	6.19849	−	17.4409i	0.221658	−	0.623684i
$783$	5.76465	+	37.9527i	0.206012	+	1.35632i
$784$	−56.7404	−	34.5046i	−2.02644	−	1.23231i
$785$	−1.23922	+	2.39159i	−0.0442296	+	0.0853593i
$786$	−3.33399	+	8.87024i	−0.118920	+	0.316391i
$787$	9.27677	−	21.3573i	0.330681	−	0.761304i	−0.669154	−	0.743124i	$-0.733343\pi$
$787$	9.27677	−	21.3573i	0.330681	−	0.761304i	0.999835	−	0.0181802i	$-0.00578725\pi$
$788$	0.215211	−	0.0764859i	0.00766656	−	0.00272470i
$789$	2.29029	+	8.78123i	0.0815364	+	0.312620i
$790$	9.07289	+	0.620602i	0.322799	+	0.0220800i
$791$	40.0041	+	56.6728i	1.42238	+	2.01505i
$792$	14.0875	−	6.66605i	0.500578	−	0.236868i
$793$	5.53006	+	3.90354i	0.196378	+	0.138619i
$794$	9.57757	+	34.1828i	0.339895	+	1.21310i
$795$	10.6348	−	2.01042i	0.377178	−	0.0713024i
$796$	−0.158619	+	0.148140i	−0.00562211	+	0.00525069i
$797$	4.98390	+	23.9838i	0.176539	+	0.849551i	0.970410	+	0.241465i	$0.0776279\pi$
$797$	4.98390	+	23.9838i	0.176539	+	0.849551i	−0.793871	+	0.608087i	$0.791937\pi$
$798$	2.65195	−	11.6978i	0.0938780	−	0.414099i
$799$	−26.2044	+	1.59436i	−0.927046	+	0.0564044i
$800$		−	0.397229i		−	0.0140442i
$801$	8.03191	+	1.97393i	0.283794	+	0.0697455i
$802$	11.9575	+	12.8034i	0.422236	+	0.452104i
$803$	−11.5924	−	26.6883i	−0.409086	−	0.941809i
$804$	−0.150857	+	0.00758637i	−0.00532033	+	0.000267551i
$805$	12.6173	−	17.8746i	0.444702	−	0.629999i
$806$	19.2325	−	23.6399i	0.677436	−	0.832681i
$807$	16.0060	+	38.7488i	0.563438	+	1.36402i
$808$	−0.922488	+	13.4863i	−0.0324530	+	0.474446i
$809$	16.9474	+	32.7070i	0.595839	+	1.14992i	0.974501	+	0.224383i	$0.0720366\pi$
$809$	16.9474	+	32.7070i	0.595839	+	1.14992i	−0.378662	+	0.925535i	$0.623616\pi$
$810$	−14.0892	−	8.64334i	−0.495045	−	0.303696i
$811$	−4.63461	−	2.01309i	−0.162743	−	0.0706893i	0.315459	−	0.948939i	$-0.397842\pi$
$811$	−4.63461	−	2.01309i	−0.162743	−	0.0706893i	−0.478202	+	0.878250i	$0.658711\pi$
$812$	0.760618	+	0.104544i	0.0266924	+	0.00366879i
$813$	17.7320	+	14.9659i	0.621887	+	0.524877i
$814$	−6.70216	+	11.0212i	−0.234911	+	0.386294i
$815$	−0.652061	−	0.608983i	−0.0228407	−	0.0213317i
$816$	−14.0390	+	22.1745i	−0.491463	+	0.776261i
$817$	0.251777	−	0.0346059i	0.00880856	−	0.00121071i
$818$	46.7437	+	13.0970i	1.63436	+	0.457925i
$819$	−17.2873	−	71.5452i	−0.604066	−	2.49999i
$820$	−0.0151850	−	0.221997i	−0.000530284	−	0.00775248i
$821$	2.99130	−	1.81905i	0.104397	−	0.0634852i	−0.466415	−	0.884566i	$-0.654455\pi$
$821$	2.99130	−	1.81905i	0.104397	−	0.0634852i	0.570812	+	0.821081i	$0.306629\pi$
$822$	9.22790	−	20.2372i	0.321860	−	0.705852i
$823$	0.690191	−	3.32138i	0.0240585	−	0.115776i	−0.965342	−	0.260988i	$-0.915952\pi$
$823$	0.690191	−	3.32138i	0.0240585	−	0.115776i	0.989401	+	0.145212i	$0.0463864\pi$
$824$	19.5739	+	32.1879i	0.681888	+	1.12132i
$825$	−10.3041	−	1.60626i	−0.358744	−	0.0559228i
$826$	−49.6490	+	40.3925i	−1.72751	+	1.40543i
$827$	−6.02510	+	21.5039i	−0.209513	+	0.747762i	0.782612	+	0.622510i	$0.213887\pi$
$827$	−6.02510	+	21.5039i	−0.209513	+	0.747762i	−0.992125	+	0.125252i	$0.960026\pi$
$828$	−0.209255	−	0.0668643i	−0.00727212	−	0.00232369i
$829$	9.53202	+	3.38768i	0.331061	+	0.117659i	0.495202	−	0.868778i	$-0.335094\pi$
$829$	9.53202	+	3.38768i	0.331061	+	0.117659i	−0.164141	+	0.986437i	$0.552485\pi$
$830$	12.3536	−	13.2275i	0.428800	−	0.459133i
$831$	−4.56012	+	4.70936i	−0.158189	+	0.163366i
$832$	−36.1078	−	18.7096i	−1.25181	−	0.648638i
$833$	−8.75108	+	63.6689i	−0.303207	+	2.20600i
$834$	−2.74847	+	3.74823i	−0.0951718	+	0.129791i
$835$	4.15207	+	11.6828i	0.143688	+	0.404300i
$836$	0.0348992	−	0.0180833i	0.00120701	−	0.000625424i
$837$	−15.0402	+	16.5679i	−0.519864	+	0.572669i
$838$	4.71293	−	3.32675i	0.162806	−	0.114921i
$839$	27.9480	+	22.7374i	0.964873	+	0.784982i	0.976625	−	0.214949i	$-0.0689584\pi$
$839$	27.9480	+	22.7374i	0.964873	+	0.784982i	−0.0117524	+	0.999931i	$0.503741\pi$
$840$	−23.2993	+	20.9857i	−0.803903	+	0.724074i
$841$	24.6308	−	6.90122i	0.849337	−	0.237973i
$842$	−45.1392	+	19.6067i	−1.55560	+	0.675692i
$843$	−29.0696	+	16.9666i	−1.00121	+	0.584362i
$844$	−0.405641	+	0.0842933i	−0.0139628	+	0.00290149i
$845$	16.0729			0.552923
$846$	−2.68567	−	28.8058i	−0.0923351	−	0.990363i
$847$	37.3640			1.28384
$848$	18.5418	−	3.85303i	0.636728	−	0.132314i
$849$	−6.34153	+	3.70127i	−0.217641	+	0.127027i
$850$	16.2812	−	7.07190i	0.558439	−	0.242564i
$851$	16.6063	−	4.65288i	0.569258	−	0.159499i
$852$	−0.0256321	+	0.0230868i	−0.000878141	+	0.000790940i
$853$	−6.28358	−	5.11207i	−0.215146	−	0.175034i	0.517417	−	0.855733i	$-0.326893\pi$
$853$	−6.28358	−	5.11207i	−0.215146	−	0.175034i	−0.732563	+	0.680699i	$0.761676\pi$
$854$	7.54049	−	5.32266i	0.258030	−	0.182138i
$855$	−3.44286	−	1.94467i	−0.117743	−	0.0665064i
$856$	−32.2226	+	16.6964i	−1.10135	+	0.570672i
$857$	−11.1203	−	31.2894i	−0.379861	−	1.06883i	−0.965983	−	0.258604i	$-0.916738\pi$
$857$	−11.1203	−	31.2894i	−0.379861	−	1.06883i	0.586122	−	0.810222i	$-0.300654\pi$
$858$	−13.2433	+	18.0605i	−0.452118	+	0.616576i
$859$	−0.665086	+	4.83886i	−0.0226924	+	0.165100i	−0.998587	−	0.0531433i	$-0.983076\pi$
$859$	−0.665086	+	4.83886i	−0.0226924	+	0.165100i	0.975894	+	0.218243i	$0.0700325\pi$
$860$	−0.00621919	−	0.00322253i	−0.000212073	−	0.000109887i
$861$	46.9924	−	48.5303i	1.60150	−	1.65391i
$862$	−28.2620	+	30.2612i	−0.962609	+	1.03070i
$863$	−16.5132	−	5.86880i	−0.562117	−	0.199776i	0.0385769	−	0.999256i	$-0.487718\pi$
$863$	−16.5132	−	5.86880i	−0.562117	−	0.199776i	−0.600694	+	0.799479i	$0.705109\pi$
$864$	0.539724	+	0.317843i	0.0183618	+	0.0108132i
$865$	2.87062	−	10.2454i	0.0976038	−	0.348353i
$866$	3.87909	−	3.15587i	0.131817	−	0.107241i
$867$	−3.99759	−	0.623165i	−0.135765	−	0.0211638i
$868$	0.232530	+	0.382380i	0.00789259	+	0.0129788i
$869$	−1.84071	+	8.85800i	−0.0624419	+	0.300487i
$870$	−9.75028	+	21.3827i	−0.330565	+	0.724943i
$871$	17.5910	−	10.6973i	0.596047	−	0.362464i
$872$	−0.821271	−	12.0066i	−0.0278118	−	0.406594i
$873$	−12.8791	+	3.11194i	−0.435892	+	0.105323i
$874$	4.69858	+	1.31648i	0.158932	+	0.0445306i
$875$	52.3264	−	7.19210i	1.76896	−	0.243137i
$876$	0.314428	−	0.496637i	0.0106235	−	0.0167798i
$877$	−27.7750	−	25.9400i	−0.937894	−	0.875932i	0.0545649	−	0.998510i	$-0.482623\pi$
$877$	−27.7750	−	25.9400i	−0.937894	−	0.875932i	−0.992459	+	0.122578i	$0.960884\pi$
$878$	13.4975	−	22.1958i	0.455520	−	0.749070i
$879$	17.1440	+	14.4697i	0.578254	+	0.488051i
$880$	9.35146	+	1.28533i	0.315237	+	0.0433284i
$881$	13.5027	+	5.86506i	0.454918	+	0.197599i	0.613415	−	0.789761i	$-0.289795\pi$
$881$	13.5027	+	5.86506i	0.454918	+	0.197599i	−0.158497	+	0.987359i	$0.550665\pi$
$882$	−70.4373	−	7.38009i	−2.37175	−	0.248500i
$883$	−15.8761	−	30.6395i	−0.534274	−	1.03110i	−0.990011	−	0.140988i	$-0.954972\pi$
$883$	−15.8761	−	30.6395i	−0.534274	−	1.03110i	0.455737	−	0.890115i	$-0.349376\pi$
$884$	−0.0280167	+	0.409590i	−0.000942304	+	0.0137760i
$885$	8.05540	+	19.5012i	0.270779	+	0.655527i
$886$	−18.7597	+	23.0588i	−0.630244	+	0.774674i
$887$	−1.16896	+	1.65604i	−0.0392498	+	0.0556043i	−0.836122	−	0.548544i	$-0.815182\pi$
$887$	−1.16896	+	1.65604i	−0.0392498	+	0.0556043i	0.796872	+	0.604148i	$0.206487\pi$
$888$	−24.6853	+	1.24138i	−0.828385	+	0.0416581i
$889$	−26.3025	−	60.5545i	−0.882159	−	2.03093i
$890$	3.45603	+	3.70051i	0.115846	+	0.124041i
$891$	10.4273	−	12.7152i	0.349328	−	0.425976i
$892$			0.222865i			0.00746209i
$893$	−0.890748	−	6.86325i	−0.0298077	−	0.229670i
$894$	8.08975	−	35.6842i	0.270562	−	1.19346i
$895$	3.54361	+	17.0528i	0.118450	+	0.570012i
$896$	−39.6668	+	37.0462i	−1.32518	+	1.23763i
$897$	29.4216	−	5.56191i	0.982358	−	0.185707i
$898$	−1.35345	−	4.83051i	−0.0451651	−	0.161196i
$899$	25.9913	+	18.3466i	0.866857	+	0.611894i
$900$	−0.0901085	−	0.190428i	−0.00300362	−	0.00634761i
$901$	−10.5691	−	14.9730i	−0.352107	−	0.498822i
$902$	−20.5067	−	1.40270i	−0.682799	−	0.0467048i
$903$	−0.536670	−	2.05766i	−0.0178593	−	0.0684745i
$904$	38.1093	−	13.5440i	1.26750	−	0.450468i
$905$	8.81535	−	20.2950i	0.293032	−	0.674628i
$906$	0.740560	−	1.97029i	0.0246035	−	0.0654586i
$907$	−13.4951	+	26.0443i	−0.448096	+	0.864786i	0.551437	+	0.834217i	$0.314080\pi$
$907$	−13.4951	+	26.0443i	−0.448096	+	0.864786i	−0.999533	+	0.0305692i	$0.990268\pi$
$908$	0.151676	+	0.0922361i	0.00503354	+	0.00306096i
$909$	5.20648	+	13.2786i	0.172688	+	0.440423i
$910$	15.0896	−	42.4581i	0.500216	−	1.40747i
$911$	−7.08664	−	51.5592i	−0.234791	−	1.70823i	−0.619337	−	0.785125i	$-0.712598\pi$
$911$	−7.08664	−	51.5592i	−0.234791	−	1.70823i	0.384546	−	0.923106i	$-0.374358\pi$
$912$	−6.08459	−	3.29342i	−0.201481	−	0.109056i
$913$	11.3633	+	13.9674i	0.376070	+	0.462252i
$914$	−38.2231	+	2.61453i	−1.26431	+	0.0864811i
$915$	−0.967016	−	2.88491i	−0.0319686	−	0.0953721i
$916$	−0.553088	−	0.114933i	−0.0182746	−	0.00379750i
$917$	18.5708	+	3.85907i	0.613263	+	0.127438i
$918$	−3.41861	+	27.7802i	−0.112831	+	0.916882i
$919$	−14.4661	+	0.989507i	−0.477192	+	0.0326408i	−0.304858	−	0.952398i	$-0.598609\pi$
$919$	−14.4661	+	0.989507i	−0.477192	+	0.0326408i	−0.172334	+	0.985039i	$0.555131\pi$
$920$	−8.05030	−	9.89515i	−0.265411	−	0.326233i
$921$	1.14024	−	2.10658i	0.0375721	−	0.0694143i
$922$	0.777232	+	5.65478i	0.0255968	+	0.186230i
$923$	1.57459	−	4.43046i	0.0518281	−	0.145830i
$924$	−0.184780	−	0.272067i	−0.00607883	−	0.00895036i
$925$	14.1311	+	8.59329i	0.464627	+	0.282546i
$926$	5.12185	−	9.88473i	0.168315	−	0.324832i
$927$	33.1944	+	21.8649i	1.09025	+	0.718139i
$928$	0.354794	−	0.816818i	0.0116467	−	0.0268134i
$929$	21.0754	−	7.49018i	0.691460	−	0.245745i	0.0342068	−	0.999415i	$-0.489110\pi$
$929$	21.0754	−	7.49018i	0.691460	−	0.245745i	0.657253	+	0.753670i	$0.271718\pi$
$930$	−13.2552	+	3.45717i	−0.434655	+	0.113365i
$931$	−16.9028	−	1.15618i	−0.553966	−	0.0378923i
$932$	−0.371139	−	0.525785i	−0.0121571	−	0.0172227i
$933$	−22.2579	+	17.4501i	−0.728691	+	0.571291i
$934$	−42.7538	−	30.1789i	−1.39895	−	0.987485i
$935$	−2.46462	−	8.79634i	−0.0806017	−	0.287671i
$936$	−42.8854	−	1.54879i	−1.40175	−	0.0506238i
$937$	−0.151495	+	0.141486i	−0.00494912	+	0.00462216i	−0.685024	−	0.728521i	$-0.740208\pi$
$937$	−0.151495	+	0.141486i	−0.00494912	+	0.00462216i	0.680075	+	0.733143i	$0.261947\pi$
$938$	−5.71162	−	27.4858i	−0.186491	−	0.897444i
$939$	−1.28868	−	0.292150i	−0.0420546	−	0.00953395i
$940$	−0.0890276	+	0.168695i	−0.00290376	+	0.00550222i
$941$		−	36.0222i		−	1.17429i	−0.809482	−	0.587145i	$-0.800252\pi$
$941$		−	36.0222i		−	1.17429i	0.809482	−	0.587145i	$-0.199748\pi$
$942$	−0.0907191	+	5.02560i	−0.00295579	+	0.163743i
$943$	18.7574	+	20.0843i	0.610825	+	0.654034i
$944$	14.7085	+	33.8624i	0.478722	+	1.10213i
$945$	−12.7505	+	30.5295i	−0.414775	+	0.993125i
$946$	−0.373131	+	0.528606i	−0.0121315	+	0.0171865i
$947$	12.1918	−	14.9857i	0.396180	−	0.486970i	−0.538417	−	0.842678i	$-0.680978\pi$
$947$	12.1918	−	14.9857i	0.396180	−	0.486970i	0.934597	+	0.355708i	$0.115760\pi$
$948$	−0.168922	+	0.0697769i	−0.00548634	+	0.00226625i
$949$	−5.46752	+	79.9323i	−0.177483	+	2.59471i
$950$	2.15286	+	4.15483i	0.0698479	+	0.134800i
$951$	−6.31291	+	0.751867i	−0.204710	+	0.0243810i
$952$	48.7024	+	21.1544i	1.57845	+	0.685619i
$953$	−22.4594	−	3.08697i	−0.727530	−	0.0999967i	−0.237110	−	0.971483i	$-0.576200\pi$
$953$	−22.4594	−	3.08697i	−0.727530	−	0.0999967i	−0.490420	+	0.871486i	$0.663157\pi$
$954$	16.1168	−	12.1723i	0.521799	−	0.394091i
$955$	−8.62186	+	14.1780i	−0.278997	+	0.458791i
$956$	−0.0230563	−	0.0215331i	−0.000745695	−	0.000696430i
$957$	−19.7536	−	12.5063i	−0.638544	−	0.404271i
$958$	−53.0765	+	7.29519i	−1.71482	+	0.235697i
$959$	−42.8687	−	12.0112i	−1.38430	−	0.387863i
$960$	8.11567	+	16.3797i	0.261932	+	0.528651i
$961$	−0.849995	−	12.4265i	−0.0274192	−	0.400855i
$962$	30.3469	−	18.4544i	0.978424	−	0.594993i
$963$	−23.1967	+	30.4658i	−0.747502	+	0.981745i
$964$	−0.0445693	+	0.214479i	−0.00143548	+	0.00690792i
$965$	−6.14611	−	10.1068i	−0.197850	−	0.325351i
$966$	6.28857	−	40.3411i	0.202331	−	1.29795i
$967$	6.20357	−	5.04698i	0.199493	−	0.162300i	−0.526102	−	0.850421i	$-0.676347\pi$
$967$	6.20357	−	5.04698i	0.199493	−	0.162300i	0.725595	+	0.688122i	$0.241564\pi$
$968$	5.87735	−	20.9765i	0.188905	−	0.674211i
$969$	−0.577423	+	6.67076i	−0.0185495	+	0.214296i
$970$	−7.64304	−	2.71634i	−0.245403	−	0.0872163i
$971$	−13.6055	+	14.5679i	−0.436622	+	0.467508i	−0.910756	−	0.412945i	$-0.864500\pi$
$971$	−13.6055	+	14.5679i	−0.436622	+	0.467508i	0.474134	+	0.880453i	$0.342761\pi$
$972$	0.330840	+	0.0299387i	0.0106117	+	0.000960284i
$973$	8.26035	+	4.28017i	0.264815	+	0.137216i
$974$	7.19312	−	52.3338i	0.230482	−	1.67688i
$975$	23.1566	+	16.9801i	0.741606	+	0.543799i
$976$	−1.78287	−	5.01652i	−0.0570684	−	0.160575i
$977$	5.30025	−	2.74637i	0.169570	−	0.0878640i	−0.373178	−	0.927760i	$-0.621732\pi$
$977$	5.30025	−	2.74637i	0.169570	−	0.0878640i	0.542748	+	0.839896i	$0.317384\pi$
$978$	−1.59483	−	0.478057i	−0.0509970	−	0.0152866i
$979$	−4.11532	+	2.90491i	−0.131526	+	0.0928414i
$980$	0.362217	+	0.294685i	0.0115706	+	0.00941338i
$981$	−6.20176	−	11.0804i	−0.198007	−	0.353769i
$982$	6.63449	−	1.85890i	0.211715	−	0.0593198i
$983$	−40.5729	+	17.6233i	−1.29407	+	0.562096i	−0.929412	−	0.369044i	$-0.879685\pi$
$983$	−40.5729	+	17.6233i	−1.29407	+	0.562096i	−0.364662	+	0.931140i	$0.618816\pi$
$984$	−19.8535	−	34.0157i	−0.632905	−	1.08438i
$985$	13.7008	−	2.84707i	0.436545	−	0.0907151i
$986$	39.7952			1.26734
$987$	−56.1422	+	14.1923i	−1.78703	+	0.451747i
$988$	−0.108229			−0.00344322
$989$	0.846978	−	0.176004i	0.0269323	−	0.00559661i
$990$	9.60113	−	3.02665i	0.305144	−	0.0961934i
$991$	20.1027	−	8.73185i	0.638584	−	0.277376i	−0.0541902	−	0.998531i	$-0.517258\pi$
$991$	20.1027	−	8.73185i	0.638584	−	0.277376i	0.692774	+	0.721154i	$0.256388\pi$
$992$	0.499848	−	0.140051i	0.0158702	−	0.00444662i
$993$	−35.0154	−	38.8759i	−1.11118	−	1.23369i
$994$	−4.97334	−	4.04611i	−0.157745	−	0.128335i
$995$	−10.8637	+	7.66842i	−0.344402	+	0.243105i
$996$	−0.104442	+	0.348426i	−0.00330938	+	0.0110403i
$997$	−12.7634	+	6.61344i	−0.404220	+	0.209450i	−0.650097	−	0.759851i	$-0.725272\pi$
$997$	−12.7634	+	6.61344i	−0.404220	+	0.209450i	0.245877	+	0.969301i	$0.420924\pi$
$998$	2.63366	+	7.41041i	0.0833670	+	0.234572i
$999$	−22.9829	+	12.3243i	−0.727146	+	0.389923i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	141.2.g.a.104.5	yes	308
3.2	odd	2	inner	141.2.g.a.104.10	yes	308
47.33	odd	46	inner	141.2.g.a.80.10	yes	308
141.80	even	46	inner	141.2.g.a.80.5	✓	308

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
141.2.g.a.80.5	✓	308	141.80	even	46	inner
141.2.g.a.80.10	yes	308	47.33	odd	46	inner
141.2.g.a.104.5	yes	308	1.1	even	1	trivial
141.2.g.a.104.10	yes	308	3.2	odd	2	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:	\( N \)	\(=\)	\( 141 = 3 \cdot 47 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	141.g (of order \(46\), degree \(22\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37724 + 0.286193i) q^{2} +(1.49590 - 0.873089i) q^{3} +(-0.0195459 + 0.00848996i) q^{4} +(-1.25721 + 0.352255i) q^{5} +(-1.81034 + 1.63057i) q^{6} +(3.78296 + 3.07766i) q^{7} +(2.32289 - 1.63967i) q^{8} +(1.47543 - 2.61211i) q^{9} +O(q^{10})\)	\(q+(-1.37724 + 0.286193i) q^{2} +(1.49590 - 0.873089i) q^{3} +(-0.0195459 + 0.00848996i) q^{4} +(-1.25721 + 0.352255i) q^{5} +(-1.81034 + 1.63057i) q^{6} +(3.78296 + 3.07766i) q^{7} +(2.32289 - 1.63967i) q^{8} +(1.47543 - 2.61211i) q^{9} +(1.63067 - 0.844944i) q^{10} +(0.611863 + 1.72162i) q^{11} +(-0.0218261 + 0.0297654i) q^{12} +(0.685047 - 4.98409i) q^{13} +(-6.09083 - 3.15602i) q^{14} +(-1.57312 + 1.62460i) q^{15} +(-2.70081 + 2.89186i) q^{16} +(3.60827 + 1.28238i) q^{17} +(-1.28445 + 4.01975i) q^{18} +(-0.272361 + 0.972069i) q^{19} +(0.0215827 - 0.0175588i) q^{20} +(8.34599 + 1.30102i) q^{21} +(-1.33540 - 2.19596i) q^{22} +(-0.699119 + 3.36434i) q^{23} +(2.04322 - 4.48087i) q^{24} +(-2.81559 + 1.71220i) q^{25} +(0.482940 + 7.06033i) q^{26} +(-0.0735082 - 5.19563i) q^{27} +(-0.100070 - 0.0280384i) q^{28} +(-7.31897 + 1.00597i) q^{29} +(1.70160 - 2.68767i) q^{30} +(-3.14722 - 2.93930i) q^{31} +(-0.0626322 + 0.102994i) q^{32} +(2.41841 + 2.04115i) q^{33} +(-5.33645 - 0.733479i) q^{34} +(-5.84010 - 2.53671i) q^{35} +(-0.00666185 + 0.0635822i) q^{36} +(-2.30900 - 4.45617i) q^{37} +(0.0969061 - 1.41672i) q^{38} +(-3.32679 - 8.05380i) q^{39} +(-2.34278 + 2.87966i) q^{40} +(4.61202 - 6.53374i) q^{41} +(-11.8668 + 0.596760i) q^{42} +(-0.100298 - 0.230909i) q^{43} +(-0.0265758 - 0.0284558i) q^{44} +(-0.934803 + 3.80370i) q^{45} -4.83358i q^{46} +(-6.30846 + 2.68389i) q^{47} +(-1.51529 + 6.68399i) q^{48} +(3.41455 + 16.4317i) q^{49} +(3.38772 - 3.16391i) q^{50} +(6.51724 - 1.23203i) q^{51} +(0.0289249 + 0.103234i) q^{52} +(-3.91003 - 2.76000i) q^{53} +(1.58819 + 7.13458i) q^{54} +(-1.37569 - 1.94891i) q^{55} +(13.8337 + 0.946253i) q^{56} +(0.441278 + 1.69191i) q^{57} +(9.79206 - 3.48010i) q^{58} +(3.71716 - 8.55776i) q^{59} +(0.0169551 - 0.0451098i) q^{60} +(-0.619003 + 1.19462i) q^{61} +(5.17568 + 3.14740i) q^{62} +(13.6207 - 5.34061i) q^{63} +(2.70697 - 7.61669i) q^{64} +(0.894418 + 6.50737i) q^{65} +(-3.91489 - 2.11902i) q^{66} +(2.58261 + 3.17445i) q^{67} +(-0.0814141 + 0.00556888i) q^{68} +(1.89156 + 5.64311i) q^{69} +(8.76920 + 1.82226i) q^{70} +(0.915057 + 0.190151i) q^{71} +(-0.855744 - 8.48685i) q^{72} +(-15.8881 + 1.08678i) q^{73} +(4.45537 + 5.47638i) q^{74} +(-2.71694 + 5.01955i) q^{75} +(-0.00292930 - 0.0213123i) q^{76} +(-2.98391 + 8.39591i) q^{77} +(6.88673 + 10.1399i) q^{78} +(4.23079 + 2.57280i) q^{79} +(2.37682 - 4.58706i) q^{80} +(-4.64621 - 7.70796i) q^{81} +(-4.48193 + 10.3184i) q^{82} +(9.28581 - 3.30018i) q^{83} +(-0.174175 + 0.0454277i) q^{84} +(-4.98809 - 0.341195i) q^{85} +(0.204219 + 0.289312i) q^{86} +(-10.0701 + 7.89494i) q^{87} +(4.24417 + 2.99586i) q^{88} +(0.743822 + 2.65474i) q^{89} +(0.198852 - 5.50614i) q^{90} +(17.9308 - 16.7462i) q^{91} +(-0.0148983 - 0.0716945i) q^{92} +(-7.27420 - 1.64909i) q^{93} +(7.92014 - 5.50180i) q^{94} -1.31804i q^{95} +(-0.00376828 + 0.208752i) q^{96} +(-3.01455 - 3.22779i) q^{97} +(-9.40530 - 21.6532i) q^{98} +(5.39981 + 0.941874i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 308 q - 19 q^{3} - 26 q^{4} - 15 q^{6} - 42 q^{7} - 19 q^{9}+O(q^{10}) \) 308 * q - 19 * q^3 - 26 * q^4 - 15 * q^6 - 42 * q^7 - 19 * q^9	\( 308 q - 19 q^{3} - 26 q^{4} - 15 q^{6} - 42 q^{7} - 19 q^{9} - 46 q^{10} - 28 q^{12} - 46 q^{13} - 23 q^{15} - 70 q^{16} - 14 q^{18} - 46 q^{19} - 27 q^{21} - 46 q^{22} - 42 q^{24} - 36 q^{25} - 43 q^{27} - 46 q^{28} - 23 q^{30} - 46 q^{31} - 23 q^{33} - 38 q^{34} + 69 q^{36} - 66 q^{37} + 46 q^{39} - 46 q^{40} + 162 q^{42} - 46 q^{43} + 92 q^{45} + 178 q^{48} - 92 q^{49} + 80 q^{51} - 46 q^{52} + 58 q^{54} + 14 q^{55} + 46 q^{57} - 46 q^{58} + 69 q^{60} - 78 q^{61} + 13 q^{63} + 66 q^{64} - 23 q^{66} - 46 q^{67} - 23 q^{69} - 46 q^{70} - 105 q^{72} - 46 q^{73} + 17 q^{75} - 23 q^{78} + 50 q^{79} + 5 q^{81} + 368 q^{82} + 62 q^{84} + 138 q^{85} - 23 q^{87} + 230 q^{88} - 23 q^{90} + 322 q^{91} + 198 q^{94} + 93 q^{96} + 26 q^{97} - 23 q^{99}+O(q^{100}) \) 308 * q - 19 * q^3 - 26 * q^4 - 15 * q^6 - 42 * q^7 - 19 * q^9 - 46 * q^10 - 28 * q^12 - 46 * q^13 - 23 * q^15 - 70 * q^16 - 14 * q^18 - 46 * q^19 - 27 * q^21 - 46 * q^22 - 42 * q^24 - 36 * q^25 - 43 * q^27 - 46 * q^28 - 23 * q^30 - 46 * q^31 - 23 * q^33 - 38 * q^34 + 69 * q^36 - 66 * q^37 + 46 * q^39 - 46 * q^40 + 162 * q^42 - 46 * q^43 + 92 * q^45 + 178 * q^48 - 92 * q^49 + 80 * q^51 - 46 * q^52 + 58 * q^54 + 14 * q^55 + 46 * q^57 - 46 * q^58 + 69 * q^60 - 78 * q^61 + 13 * q^63 + 66 * q^64 - 23 * q^66 - 46 * q^67 - 23 * q^69 - 46 * q^70 - 105 * q^72 - 46 * q^73 + 17 * q^75 - 23 * q^78 + 50 * q^79 + 5 * q^81 + 368 * q^82 + 62 * q^84 + 138 * q^85 - 23 * q^87 + 230 * q^88 - 23 * q^90 + 322 * q^91 + 198 * q^94 + 93 * q^96 + 26 * q^97 - 23 * q^99

Introduction

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