LMFDB - Embedded newform 133.2.bf.a.10.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [133,2,Mod(10,133)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(133, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([3, 17]))

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

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

chi := DirichletCharacter("133.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 133 = 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	133.bf (of order $18$, degree $6$, 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:	$1.06201034688$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$11$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			10.8
Character	$\chi$	$=$	133.10
Dual form			133.2.bf.a.40.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.480891 + 0.573103i) q^{2} +(-0.0906786 - 0.514264i) q^{3} +(0.250105 - 1.41842i) q^{4} +(1.59609 - 0.281434i) q^{5} +(0.251120 - 0.299273i) q^{6} +(-2.47659 + 0.930864i) q^{7} +(2.22898 - 1.28690i) q^{8} +(2.56283 - 0.932795i) q^{9} +O(q^{10})$	\(q+(0.480891 + 0.573103i) q^{2} +(-0.0906786 - 0.514264i) q^{3} +(0.250105 - 1.41842i) q^{4} +(1.59609 - 0.281434i) q^{5} +(0.251120 - 0.299273i) q^{6} +(-2.47659 + 0.930864i) q^{7} +(2.22898 - 1.28690i) q^{8} +(2.56283 - 0.932795i) q^{9} +(0.928835 + 0.779385i) q^{10} -3.54207 q^{11} -0.752119 q^{12} +(3.28598 + 2.75726i) q^{13} +(-1.72445 - 0.971697i) q^{14} +(-0.289462 - 0.795291i) q^{15} +(-0.897452 - 0.326646i) q^{16} +(-1.09878 + 3.01887i) q^{17} +(1.76703 + 1.02020i) q^{18} +(-1.62693 + 4.04390i) q^{19} -2.33431i q^{20} +(0.703283 + 1.18921i) q^{21} +(-1.70335 - 2.02997i) q^{22} +(-0.692284 - 0.580895i) q^{23} +(-0.863927 - 1.02959i) q^{24} +(-2.23017 + 0.811714i) q^{25} +3.20915i q^{26} +(-1.49539 - 2.59010i) q^{27} +(0.700944 + 3.74565i) q^{28} +(-5.22997 - 0.922184i) q^{29} +(0.316584 - 0.548340i) q^{30} +(-1.73138 - 2.99885i) q^{31} +(-2.00496 - 5.50858i) q^{32} +(0.321190 + 1.82156i) q^{33} +(-2.25852 + 0.822032i) q^{34} +(-3.69088 + 2.18274i) q^{35} +(-0.682114 - 3.86846i) q^{36} +(6.58118 - 3.79965i) q^{37} +(-3.09995 + 1.01227i) q^{38} +(1.11999 - 1.93989i) q^{39} +(3.19547 - 2.68132i) q^{40} +(-2.89857 + 2.43219i) q^{41} +(-0.343338 + 0.974935i) q^{42} +(8.70301 + 3.16764i) q^{43} +(-0.885890 + 5.02413i) q^{44} +(3.82799 - 2.21009i) q^{45} -0.676097i q^{46} +(2.96168 + 8.13716i) q^{47} +(-0.0866025 + 0.491147i) q^{48} +(5.26699 - 4.61073i) q^{49} +(-1.53766 - 0.887770i) q^{50} +(1.65213 + 0.291315i) q^{51} +(4.73278 - 3.97128i) q^{52} +(-9.59559 - 1.69196i) q^{53} +(0.765272 - 2.10257i) q^{54} +(-5.65346 + 0.996858i) q^{55} +(-4.32233 + 5.26200i) q^{56} +(2.22716 + 0.469976i) q^{57} +(-1.98654 - 3.44078i) q^{58} +(4.90362 + 1.78477i) q^{59} +(-1.20045 + 0.211672i) q^{60} +(-7.08422 + 8.44265i) q^{61} +(0.886041 - 2.43438i) q^{62} +(-5.47878 + 4.69580i) q^{63} +(1.23777 - 2.14388i) q^{64} +(6.02070 + 3.47605i) q^{65} +(-0.889485 + 1.06005i) q^{66} +(8.42056 - 10.0352i) q^{67} +(4.00720 + 2.31356i) q^{68} +(-0.235958 + 0.408692i) q^{69} +(-3.02584 - 1.06560i) q^{70} +(0.647705 - 1.77956i) q^{71} +(4.51208 - 5.37729i) q^{72} +(7.41246 - 1.30702i) q^{73} +(5.34242 + 1.94448i) q^{74} +(0.619664 + 1.07329i) q^{75} +(5.32902 + 3.31906i) q^{76} +(8.77226 - 3.29719i) q^{77} +(1.65035 - 0.291001i) q^{78} +(0.267641 - 0.735337i) q^{79} +(-1.52434 - 0.268783i) q^{80} +(5.07133 - 4.25535i) q^{81} +(-2.78779 - 0.491563i) q^{82} +(-8.15560 - 4.70864i) q^{83} +(1.86269 - 0.700121i) q^{84} +(-0.904137 + 5.12762i) q^{85} +(2.36981 + 6.51101i) q^{86} +2.77321i q^{87} +(-7.89519 + 4.55829i) q^{88} +(2.41083 - 13.6725i) q^{89} +(3.10746 + 1.13102i) q^{90} +(-10.7047 - 3.76981i) q^{91} +(-0.997095 + 0.836662i) q^{92} +(-1.38520 + 1.16232i) q^{93} +(-3.23919 + 5.61043i) q^{94} +(-1.45864 + 6.91229i) q^{95} +(-2.65106 + 1.53059i) q^{96} +(-1.92120 - 10.8956i) q^{97} +(5.17527 + 0.801268i) q^{98} +(-9.07774 + 3.30403i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9}+O(q^{10}) $ 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9} - 9 q^{10} - 12 q^{11} + 6 q^{12} - 30 q^{13} - 15 q^{14} + 9 q^{15} - 15 q^{16} + 18 q^{17} + 36 q^{18} + 12 q^{19} - 30 q^{21} - 3 q^{23} - 36 q^{24} - 27 q^{25} + 12 q^{27} - 33 q^{28} - 6 q^{29} + 3 q^{30} - 9 q^{31} + 60 q^{32} - 9 q^{33} - 36 q^{34} + 9 q^{35} + 27 q^{36} - 36 q^{37} + 18 q^{38} + 12 q^{39} + 9 q^{40} + 54 q^{41} - 9 q^{42} + 12 q^{43} + 18 q^{44} - 27 q^{45} + 45 q^{47} + 63 q^{48} - 45 q^{49} - 63 q^{50} - 3 q^{51} + 57 q^{52} + 27 q^{53} - 9 q^{54} - 45 q^{55} - 54 q^{56} - 54 q^{57} + 30 q^{58} + 36 q^{59} - 78 q^{60} - 42 q^{61} - 45 q^{62} + 57 q^{63} - 36 q^{64} + 45 q^{65} + 9 q^{66} + 30 q^{67} - 9 q^{68} + 69 q^{70} - 6 q^{71} - 6 q^{72} + 60 q^{73} + 9 q^{74} - 21 q^{75} + 54 q^{76} - 18 q^{77} + 3 q^{78} + 27 q^{79} - 45 q^{80} + 24 q^{81} - 9 q^{82} + 36 q^{83} + 99 q^{84} - 48 q^{85} - 48 q^{86} - 9 q^{88} - 9 q^{89} - 18 q^{90} + 24 q^{91} + 48 q^{92} - 3 q^{93} + 90 q^{94} - 75 q^{95} + 63 q^{96} - 27 q^{97} + 96 q^{98} + 48 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9 - 9 * q^10 - 12 * q^11 + 6 * q^12 - 30 * q^13 - 15 * q^14 + 9 * q^15 - 15 * q^16 + 18 * q^17 + 36 * q^18 + 12 * q^19 - 30 * q^21 - 3 * q^23 - 36 * q^24 - 27 * q^25 + 12 * q^27 - 33 * q^28 - 6 * q^29 + 3 * q^30 - 9 * q^31 + 60 * q^32 - 9 * q^33 - 36 * q^34 + 9 * q^35 + 27 * q^36 - 36 * q^37 + 18 * q^38 + 12 * q^39 + 9 * q^40 + 54 * q^41 - 9 * q^42 + 12 * q^43 + 18 * q^44 - 27 * q^45 + 45 * q^47 + 63 * q^48 - 45 * q^49 - 63 * q^50 - 3 * q^51 + 57 * q^52 + 27 * q^53 - 9 * q^54 - 45 * q^55 - 54 * q^56 - 54 * q^57 + 30 * q^58 + 36 * q^59 - 78 * q^60 - 42 * q^61 - 45 * q^62 + 57 * q^63 - 36 * q^64 + 45 * q^65 + 9 * q^66 + 30 * q^67 - 9 * q^68 + 69 * q^70 - 6 * q^71 - 6 * q^72 + 60 * q^73 + 9 * q^74 - 21 * q^75 + 54 * q^76 - 18 * q^77 + 3 * q^78 + 27 * q^79 - 45 * q^80 + 24 * q^81 - 9 * q^82 + 36 * q^83 + 99 * q^84 - 48 * q^85 - 48 * q^86 - 9 * q^88 - 9 * q^89 - 18 * q^90 + 24 * q^91 + 48 * q^92 - 3 * q^93 + 90 * q^94 - 75 * q^95 + 63 * q^96 - 27 * q^97 + 96 * q^98 + 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/133\mathbb{Z}\right)^\times$.

$n$	$78$	$115$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	0.480891	+	0.573103i	0.340041	+	0.405245i	0.908782	−	0.417272i	$-0.137014\pi$
$2$	0.480891	+	0.573103i	0.340041	+	0.405245i	−0.568741	+	0.822517i	$0.692569\pi$
$3$	−0.0906786	−	0.514264i	−0.0523533	−	0.296911i	0.947377	−	0.320119i	$-0.103723\pi$
$3$	−0.0906786	−	0.514264i	−0.0523533	−	0.296911i	−0.999731	+	0.0232086i	$0.992612\pi$
$4$	0.250105	−	1.41842i	0.125052	−	0.709208i
$5$	1.59609	−	0.281434i	0.713793	−	0.125861i	0.195053	−	0.980793i	$-0.437512\pi$
$5$	1.59609	−	0.281434i	0.713793	−	0.125861i	0.518740	+	0.854932i	$0.326401\pi$
$6$	0.251120	−	0.299273i	0.102519	−	0.122178i
$7$	−2.47659	+	0.930864i	−0.936063	+	0.351833i
$7$	−2.47659	+	0.930864i	−0.936063	+	0.351833i
$8$	2.22898	−	1.28690i	0.788062	−	0.454988i
$9$	2.56283	−	0.932795i	0.854278	−	0.310932i
$10$	0.928835	+	0.779385i	0.293723	+	0.246463i
$11$	−3.54207			−1.06797			−0.533987	−	0.845492i	$-0.679307\pi$
$11$	−3.54207			−1.06797			−0.533987	+	0.845492i	$0.679307\pi$
$12$	−0.752119			−0.217118
$13$	3.28598	+	2.75726i	0.911366	+	0.764727i	0.972378	−	0.233410i	$-0.0749884\pi$
$13$	3.28598	+	2.75726i	0.911366	+	0.764727i	−0.0610121	+	0.998137i	$0.519433\pi$
$14$	−1.72445	−	0.971697i	−0.460879	−	0.259697i
$15$	−0.289462	−	0.795291i	−0.0747389	−	0.205343i
$16$	−0.897452	−	0.326646i	−0.224363	−	0.0816615i
$17$	−1.09878	+	3.01887i	−0.266493	+	0.732183i	0.732201	+	0.681089i	$0.238493\pi$
$17$	−1.09878	+	3.01887i	−0.266493	+	0.732183i	−0.998694	+	0.0510945i	$0.983729\pi$
$18$	1.76703	+	1.02020i	0.416493	+	0.240462i
$19$	−1.62693	+	4.04390i	−0.373243	+	0.927734i
$19$	−1.62693	+	4.04390i	−0.373243	+	0.927734i
$20$		−	2.33431i		−	0.521967i
$21$	0.703283	+	1.18921i	0.153469	+	0.259507i
$22$	−1.70335	−	2.02997i	−0.363155	−	0.432792i
$23$	−0.692284	−	0.580895i	−0.144351	−	0.121125i	0.567753	−	0.823199i	$-0.307813\pi$
$23$	−0.692284	−	0.580895i	−0.144351	−	0.121125i	−0.712104	+	0.702074i	$0.752257\pi$
$24$	−0.863927	−	1.02959i	−0.176348	−	0.210164i
$25$	−2.23017	+	0.811714i	−0.446033	+	0.162343i
$26$			3.20915i			0.629365i
$27$	−1.49539	−	2.59010i	−0.287789	−	0.498464i
$28$	0.700944	+	3.74565i	0.132466	+	0.707861i
$29$	−5.22997	−	0.922184i	−0.971181	−	0.171245i	−0.334519	−	0.942389i	$-0.608574\pi$
$29$	−5.22997	−	0.922184i	−0.971181	−	0.171245i	−0.636661	+	0.771144i	$0.719685\pi$
$30$	0.316584	−	0.548340i	0.0578001	−	0.100113i
$31$	−1.73138	−	2.99885i	−0.310966	−	0.538609i	0.667606	−	0.744515i	$-0.267319\pi$
$31$	−1.73138	−	2.99885i	−0.310966	−	0.538609i	−0.978572	+	0.205906i	$0.933986\pi$
$32$	−2.00496	−	5.50858i	−0.354430	−	0.973788i
$33$	0.321190	+	1.82156i	0.0559120	+	0.317093i
$34$	−2.25852	+	0.822032i	−0.387332	+	0.140977i
$35$	−3.69088	+	2.18274i	−0.623873	+	0.368950i
$36$	−0.682114	−	3.86846i	−0.113686	−	0.644743i
$37$	6.58118	−	3.79965i	1.08194	−	0.624658i	0.150521	−	0.988607i	$-0.451905\pi$
$37$	6.58118	−	3.79965i	1.08194	−	0.624658i	0.931419	+	0.363948i	$0.118572\pi$
$38$	−3.09995	+	1.01227i	−0.502878	+	0.164213i
$39$	1.11999	−	1.93989i	0.179342	−	0.310630i
$40$	3.19547	−	2.68132i	0.505248	−	0.423953i
$41$	−2.89857	+	2.43219i	−0.452681	+	0.379845i	−0.840430	−	0.541921i	$-0.817697\pi$
$41$	−2.89857	+	2.43219i	−0.452681	+	0.379845i	0.387749	+	0.921765i	$0.373253\pi$
$42$	−0.343338	+	0.974935i	−0.0529783	+	0.150436i
$43$	8.70301	+	3.16764i	1.32720	+	0.483060i	0.905757	−	0.423797i	$-0.139303\pi$
$43$	8.70301	+	3.16764i	1.32720	+	0.483060i	0.421439	+	0.906857i	$0.361525\pi$
$44$	−0.885890	+	5.02413i	−0.133553	+	0.757416i
$45$	3.82799	−	2.21009i	0.570643	−	0.329461i
$46$		−	0.676097i		−	0.0996851i
$47$	2.96168	+	8.13716i	0.432006	+	1.18693i	0.944579	+	0.328283i	$0.106470\pi$
$47$	2.96168	+	8.13716i	0.432006	+	1.18693i	−0.512574	+	0.858643i	$0.671308\pi$
$48$	−0.0866025	+	0.491147i	−0.0125000	+	0.0708910i
$49$	5.26699	−	4.61073i	0.752427	−	0.658676i
$50$	−1.53766	−	0.887770i	−0.217458	−	0.125550i
$51$	1.65213	+	0.291315i	0.231345	+	0.0407923i
$52$	4.73278	−	3.97128i	0.656319	−	0.550717i
$53$	−9.59559	−	1.69196i	−1.31806	−	0.232409i	−0.529992	−	0.848002i	$-0.677805\pi$
$53$	−9.59559	−	1.69196i	−1.31806	−	0.232409i	−0.788064	+	0.615594i	$0.788916\pi$
$54$	0.765272	−	2.10257i	0.104140	−	0.286123i
$55$	−5.65346	+	0.996858i	−0.762313	+	0.134416i
$56$	−4.32233	+	5.26200i	−0.577596	+	0.703164i
$57$	2.22716	+	0.469976i	0.294994	+	0.0622499i
$58$	−1.98654	−	3.44078i	−0.260845	−	0.451797i
$59$	4.90362	+	1.78477i	0.638398	+	0.232358i	0.640882	−	0.767639i	$-0.278569\pi$
$59$	4.90362	+	1.78477i	0.638398	+	0.232358i	−0.00248469	+	0.999997i	$0.500791\pi$
$60$	−1.20045	+	0.211672i	−0.154977	+	0.0273267i
$61$	−7.08422	+	8.44265i	−0.907042	+	1.08097i	0.0893420	+	0.996001i	$0.471524\pi$
$61$	−7.08422	+	8.44265i	−0.907042	+	1.08097i	−0.996384	+	0.0849691i	$0.972921\pi$
$62$	0.886041	−	2.43438i	0.112527	−	0.309166i
$63$	−5.47878	+	4.69580i	−0.690261	+	0.591615i
$64$	1.23777	−	2.14388i	0.154721	−	0.267985i
$65$	6.02070	+	3.47605i	0.746776	+	0.431151i
$66$	−0.889485	+	1.06005i	−0.109488	+	0.130483i
$67$	8.42056	−	10.0352i	1.02873	−	1.22600i	0.0549590	−	0.998489i	$-0.482497\pi$
$67$	8.42056	−	10.0352i	1.02873	−	1.22600i	0.973776	−	0.227510i	$-0.0730584\pi$
$68$	4.00720	+	2.31356i	0.485944	+	0.280560i
$69$	−0.235958	+	0.408692i	−0.0284060	+	0.0492007i
$70$	−3.02584	−	1.06560i	−0.361658	−	0.127363i
$71$	0.647705	−	1.77956i	0.0768685	−	0.211194i	−0.895306	−	0.445451i	$-0.853043\pi$
$71$	0.647705	−	1.77956i	0.0768685	−	0.211194i	0.972175	+	0.234257i	$0.0752656\pi$
$72$	4.51208	−	5.37729i	0.531754	−	0.633719i
$73$	7.41246	−	1.30702i	0.867562	−	0.152975i	0.277886	−	0.960614i	$-0.410366\pi$
$73$	7.41246	−	1.30702i	0.867562	−	0.152975i	0.589677	+	0.807639i	$0.299255\pi$
$74$	5.34242	+	1.94448i	0.621044	+	0.226041i
$75$	0.619664	+	1.07329i	0.0715526	+	0.123933i
$76$	5.32902	+	3.31906i	0.611281	+	0.380722i
$77$	8.77226	−	3.29719i	0.999691	−	0.375749i
$78$	1.65035	−	0.291001i	0.186865	−	0.0329494i
$79$	0.267641	−	0.735337i	0.0301119	−	0.0827318i	−0.923726	−	0.383055i	$-0.874872\pi$
$79$	0.267641	−	0.735337i	0.0301119	−	0.0827318i	0.953838	+	0.300323i	$0.0970944\pi$
$80$	−1.52434	−	0.268783i	−0.170427	−	0.0300508i
$81$	5.07133	−	4.25535i	0.563481	−	0.472817i
$82$	−2.78779	−	0.491563i	−0.307860	−	0.0542841i
$83$	−8.15560	−	4.70864i	−0.895193	−	0.516840i	−0.0195555	−	0.999809i	$-0.506225\pi$
$83$	−8.15560	−	4.70864i	−0.895193	−	0.516840i	−0.875638	+	0.482969i	$0.839558\pi$
$84$	1.86269	−	0.700121i	0.203236	−	0.0763894i
$85$	−0.904137	+	5.12762i	−0.0980675	+	0.556168i
$86$	2.36981	+	6.51101i	0.255544	+	0.702100i
$87$			2.77321i			0.297319i
$88$	−7.89519	+	4.55829i	−0.841630	+	0.485916i
$89$	2.41083	−	13.6725i	0.255547	−	1.44928i	−0.539116	−	0.842231i	$-0.681242\pi$
$89$	2.41083	−	13.6725i	0.255547	−	1.44928i	0.794664	−	0.607050i	$-0.207647\pi$
$90$	3.10746	+	1.13102i	0.327555	+	0.119220i
$91$	−10.7047	−	3.76981i	−1.12215	−	0.395183i
$92$	−0.997095	+	0.836662i	−0.103954	+	0.0872280i
$93$	−1.38520	+	1.16232i	−0.143638	+	0.120527i
$94$	−3.23919	+	5.61043i	−0.334096	+	0.578672i
$95$	−1.45864	+	6.91229i	−0.149653	+	0.709186i
$96$	−2.65106	+	1.53059i	−0.270572	+	0.156215i
$97$	−1.92120	−	10.8956i	−0.195068	−	1.10628i	−0.912322	−	0.409473i	$-0.865713\pi$
$97$	−1.92120	−	10.8956i	−0.195068	−	1.10628i	0.717254	−	0.696811i	$-0.245399\pi$
$98$	5.17527	+	0.801268i	0.522781	+	0.0809403i
$99$	−9.07774	+	3.30403i	−0.912347	+	0.332067i
$100$	0.593572	+	3.36632i	0.0593572	+	0.336632i
$101$	−3.45731	−	9.49889i	−0.344015	−	0.945174i	−0.984217	−	0.176967i	$-0.943371\pi$
$101$	−3.45731	−	9.49889i	−0.344015	−	0.945174i	0.640201	−	0.768207i	$-0.278851\pi$
$102$	0.627541	+	1.08693i	0.0621358	+	0.107622i
$103$	2.83806	−	4.91566i	0.279642	−	0.484354i	−0.691654	−	0.722229i	$-0.743118\pi$
$103$	2.83806	−	4.91566i	0.279642	−	0.484354i	0.971296	+	0.237875i	$0.0764508\pi$
$104$	10.8727	+	1.91715i	1.06615	+	0.187992i
$105$	1.45719	+	1.70016i	0.142207	+	0.165919i
$106$	−3.64476	−	6.31291i	−0.354011	−	0.613164i
$107$		−	6.70400i		−	0.648100i	−0.946040	−	0.324050i	$-0.894955\pi$
$107$		−	6.70400i		−	0.648100i	0.946040	−	0.324050i	$-0.105045\pi$
$108$	−4.04784	+	1.47329i	−0.389504	+	0.141768i
$109$	1.24590	+	1.48480i	0.119335	+	0.142218i	0.822405	−	0.568903i	$-0.192632\pi$
$109$	1.24590	+	1.48480i	0.119335	+	0.142218i	−0.703069	+	0.711121i	$0.748188\pi$
$110$	−3.29000	−	2.76064i	−0.313689	−	0.263217i
$111$	−2.55080	−	3.03992i	−0.242111	−	0.288536i
$112$	2.52668	−	0.0264380i	0.238749	−	0.00249816i
$113$			15.1955i			1.42948i	0.699393	+	0.714738i	$0.253454\pi$
$113$			15.1955i			1.42948i	−0.699393	+	0.714738i	$0.746546\pi$
$114$	0.801675	+	1.50240i	0.0750837	+	0.140713i
$115$	−1.26843	−	0.732329i	−0.118282	−	0.0682900i
$116$	−2.61608	+	7.18762i	−0.242897	+	0.667354i
$117$	10.9934	+	4.00126i	1.01634	+	0.369917i
$118$	1.33525	+	3.66856i	0.122920	+	0.337719i
$119$	−0.0889328	−	8.49931i	−0.00815246	−	0.779130i
$120$	−1.66867	−	1.40018i	−0.152328	−	0.127818i
$121$	1.54627			0.140570
$122$	−8.24524			−0.746489
$123$	1.51363	+	1.27008i	0.136479	+	0.114520i
$124$	−4.68664	+	1.70580i	−0.420872	+	0.153185i
$125$	−10.3490	+	5.97499i	−0.925642	+	0.534419i
$126$	−5.32587	−	0.881740i	−0.474466	−	0.0785517i
$127$	−6.29464	+	7.50166i	−0.558559	+	0.665665i	−0.969241	−	0.246114i	$-0.920846\pi$
$127$	−6.29464	+	7.50166i	−0.558559	+	0.665665i	0.410682	+	0.911779i	$0.365291\pi$
$128$	−9.72220	+	1.71429i	−0.859329	+	0.151523i
$129$	0.839825	−	4.76288i	0.0739424	−	0.419348i
$130$	0.903162	+	5.12208i	0.0792125	+	0.449237i
$131$	−8.41532	−	10.0290i	−0.735250	−	0.876237i	0.260767	−	0.965402i	$-0.416025\pi$
$131$	−8.41532	−	10.0290i	−0.735250	−	0.876237i	−0.996017	+	0.0891650i	$0.971580\pi$
$132$	2.66406			0.231877
$133$	0.264918	−	11.5295i	0.0229713	−	0.999736i
$134$	9.80059			0.846642
$135$	−3.11572	−	3.71317i	−0.268159	−	0.319579i
$136$	1.43583	+	8.14300i	0.123122	+	0.698257i
$137$	−1.91091	+	10.8373i	−0.163260	+	0.925892i	0.787581	+	0.616211i	$0.211333\pi$
$137$	−1.91091	+	10.8373i	−0.163260	+	0.925892i	−0.950841	+	0.309681i	$0.899778\pi$
$138$	−0.347693	+	0.0613076i	−0.0295976	+	0.00521885i
$139$	2.41478	−	2.87782i	0.204819	−	0.244093i	−0.653850	−	0.756624i	$-0.726847\pi$
$139$	2.41478	−	2.87782i	0.204819	−	0.244093i	0.858669	+	0.512531i	$0.171292\pi$
$140$	2.17292	+	5.78112i	0.183645	+	0.488594i
$141$	3.91609	−	2.26095i	0.329794	−	0.190407i
$142$	1.33134	−	0.484570i	0.111724	−	0.0406642i
$143$	−11.6392	−	9.76642i	−0.973316	−	0.816709i
$144$	−2.60471			−0.217060
$145$	−8.60703			−0.714775
$146$	4.31364	+	3.61957i	0.356999	+	0.299558i
$147$	−2.84874	−	2.29053i	−0.234960	−	0.188919i
$148$	−3.74349	−	10.2852i	−0.307713	−	0.845435i
$149$	−8.93798	−	3.25316i	−0.732228	−	0.266509i	−0.0511202	−	0.998693i	$-0.516279\pi$
$149$	−8.93798	−	3.25316i	−0.732228	−	0.266509i	−0.681108	+	0.732183i	$0.738501\pi$
$150$	−0.317115	+	0.871266i	−0.0258923	+	0.0711386i
$151$	10.0086	+	5.77848i	0.814489	+	0.470246i	0.848512	−	0.529175i	$-0.177499\pi$
$151$	10.0086	+	5.77848i	0.814489	+	0.470246i	−0.0340231	+	0.999421i	$0.510832\pi$
$152$	1.57770	+	11.1074i	0.127969	+	0.900933i
$153$			8.76179i			0.708349i
$154$	6.10812	+	3.44182i	0.492207	+	0.277350i
$155$	−3.60742	−	4.29916i	−0.289755	−	0.345316i
$156$	−2.47145	−	2.07379i	−0.197874	−	0.166036i
$157$	8.03085	+	9.57079i	0.640931	+	0.763832i	0.984517	−	0.175289i	$-0.0560860\pi$
$157$	8.03085	+	9.57079i	0.640931	+	0.763832i	−0.343586	+	0.939121i	$0.611642\pi$
$158$	0.550130	−	0.200231i	0.0437660	−	0.0159295i
$159$			5.08809i			0.403512i
$160$	−4.75039	−	8.22792i	−0.375551	−	0.650474i
$161$	2.25524	+	0.794217i	0.177738	+	0.0625931i
$162$	4.87751	+	0.860036i	0.383213	+	0.0675708i
$163$	−1.78576	+	3.09302i	−0.139871	+	0.242264i	−0.927448	−	0.373953i	$-0.878002\pi$
$163$	−1.78576	+	3.09302i	−0.139871	+	0.242264i	0.787576	+	0.616217i	$0.211336\pi$
$164$	2.72491	+	4.71968i	0.212780	+	0.368545i
$165$	1.02530	+	2.81698i	0.0798192	+	0.219302i
$166$	−1.22342	−	6.93834i	−0.0949555	−	0.538519i
$167$	−2.43048	+	0.884623i	−0.188076	+	0.0684542i	−0.434341	−	0.900748i	$-0.643019\pi$
$167$	−2.43048	+	0.884623i	−0.188076	+	0.0684542i	0.246265	+	0.969203i	$0.420797\pi$
$168$	3.09800	+	1.74567i	0.239016	+	0.134681i
$169$	0.937726	+	5.31811i	0.0721328	+	0.409085i
$170$	−3.37345	+	1.94766i	−0.258731	+	0.149379i
$171$	−0.397421	+	11.8814i	−0.0303916	+	0.908595i
$172$	6.66969	−	11.5522i	0.508559	−	0.880850i
$173$	6.68586	−	5.61010i	0.508316	−	0.426528i	−0.352220	−	0.935917i	$-0.614573\pi$
$173$	6.68586	−	5.61010i	0.508316	−	0.426528i	0.860536	+	0.509389i	$0.170129\pi$
$174$	−1.58933	+	1.33361i	−0.120487	+	0.101101i
$175$	4.76761	−	4.08626i	0.360397	−	0.308892i
$176$	3.17884	+	1.15700i	0.239614	+	0.0872124i
$177$	0.473191	−	2.68360i	0.0355672	−	0.201712i
$178$	8.99510	−	5.19332i	0.674211	−	0.389256i
$179$		−	15.6151i		−	1.16713i	−0.812066	−	0.583565i	$-0.801657\pi$
$179$		−	15.6151i		−	1.16713i	0.812066	−	0.583565i	$-0.198343\pi$
$180$	−2.17743	−	5.98244i	−0.162296	−	0.445904i
$181$	−2.17164	+	12.3160i	−0.161416	+	0.915438i	0.791266	+	0.611472i	$0.209422\pi$
$181$	−2.17164	+	12.3160i	−0.161416	+	0.915438i	−0.952683	+	0.303967i	$0.901689\pi$
$182$	−2.98728	−	7.94774i	−0.221432	−	0.589125i
$183$	4.98414	+	2.87759i	0.368438	+	0.212718i
$184$	−2.29064	−	0.403902i	−0.168868	−	0.0297760i
$185$	9.43481	−	7.91675i	0.693661	−	0.582051i
$186$	−1.33226	−	0.234913i	−0.0976859	−	0.0172247i
$187$	3.89195	−	10.6930i	0.284608	−	0.781953i
$188$	12.2826	−	2.16575i	0.895801	−	0.157954i
$189$	6.11450	+	5.02260i	0.444765	+	0.365340i
$190$	−4.66290	+	2.48811i	−0.338282	+	0.180506i
$191$	5.23188	+	9.06189i	0.378566	+	0.655695i	0.990854	−	0.134940i	$-0.0430841\pi$
$191$	5.23188	+	9.06189i	0.378566	+	0.655695i	−0.612288	+	0.790635i	$0.709751\pi$
$192$	−1.21476	−	0.442136i	−0.0876676	−	0.0319084i
$193$	11.5852	−	2.04278i	0.833918	−	0.147042i	0.259643	−	0.965705i	$-0.416395\pi$
$193$	11.5852	−	2.04278i	0.833918	−	0.147042i	0.574275	+	0.818662i	$0.305284\pi$
$194$	5.32044	−	6.34065i	0.381985	−	0.455232i
$195$	1.24166	−	3.41143i	0.0889172	−	0.244298i
$196$	−5.22264	−	8.62394i	−0.373045	−	0.615996i
$197$	5.91955	−	10.2530i	0.421750	−	0.730493i	−0.574361	−	0.818602i	$-0.694749\pi$
$197$	5.91955	−	10.2530i	0.421750	−	0.730493i	0.996111	+	0.0881097i	$0.0280826\pi$
$198$	−6.25895	−	3.61360i	−0.444804	−	0.256808i
$199$	−14.7250	+	17.5486i	−1.04383	+	1.24399i	−0.0747572	+	0.997202i	$0.523818\pi$
$199$	−14.7250	+	17.5486i	−1.04383	+	1.24399i	−0.969071	+	0.246784i	$0.920626\pi$
$200$	−3.92639	+	4.67929i	−0.277638	+	0.330876i
$201$	−5.92432	−	3.42041i	−0.417869	−	0.241257i
$202$	3.78125	−	6.54932i	0.266048	−	0.460809i
$203$	13.8109	−	2.58451i	0.969336	−	0.181397i
$204$	0.826412	−	2.27055i	0.0578604	−	0.158970i
$205$	−3.94188	+	4.69775i	−0.275313	+	0.328105i
$206$	4.18198	−	0.737395i	0.291372	−	0.0513768i
$207$	−2.31607	−	0.842979i	−0.160978	−	0.0585911i
$208$	−2.04836	−	3.54786i	−0.142028	−	0.246000i
$209$	5.76270	−	14.3238i	0.398614	−	0.990796i
$210$	−0.273619	+	1.65271i	−0.0188815	+	0.114048i
$211$	−0.378448	+	0.0667305i	−0.0260534	+	0.00459392i	−0.186660	−	0.982425i	$-0.559766\pi$
$211$	−0.378448	+	0.0667305i	−0.0260534	+	0.00459392i	0.160606	+	0.987019i	$0.448655\pi$
$212$	−4.79981	+	13.1874i	−0.329652	+	0.905712i
$213$	−0.973894	−	0.171724i	−0.0667301	−	0.0117663i
$214$	3.84208	−	3.22389i	0.262639	−	0.220381i
$215$	14.7823	+	2.60651i	1.00814	+	0.177763i
$216$	−6.66639	−	3.84884i	−0.453590	−	0.261881i
$217$	7.07944	+	5.81522i	0.480584	+	0.394763i
$218$	−0.251805	+	1.42806i	−0.0170544	+	0.0967202i
$219$	−1.34430	−	3.69344i	−0.0908396	−	0.249580i
$220$			8.26828i			0.557447i
$221$	−11.9344	+	6.89032i	−0.802793	+	0.463493i
$222$	0.515534	−	2.92374i	0.0346004	−	0.196228i
$223$	7.43041	+	2.70445i	0.497577	+	0.181103i	0.578604	−	0.815609i	$-0.303598\pi$
$223$	7.43041	+	2.70445i	0.497577	+	0.181103i	−0.0810270	+	0.996712i	$0.525820\pi$
$224$	10.0932	+	11.7761i	0.674380	+	0.786826i
$225$	−4.95838	+	4.16058i	−0.330559	+	0.277372i
$226$	−8.70861	+	7.30739i	−0.579288	+	0.486080i
$227$	11.9442	−	20.6880i	0.792765	−	1.37311i	−0.131484	−	0.991318i	$-0.541974\pi$
$227$	11.9442	−	20.6880i	0.792765	−	1.37311i	0.924249	−	0.381790i	$-0.124692\pi$
$228$	1.22364	−	3.04149i	0.0810379	−	0.201428i
$229$	9.63725	−	5.56407i	0.636847	−	0.367684i	−0.146552	−	0.989203i	$-0.546818\pi$
$229$	9.63725	−	5.56407i	0.636847	−	0.367684i	0.783399	+	0.621519i	$0.213484\pi$
$230$	−0.190277	−	1.07911i	−0.0125465	−	0.0711545i
$231$	−2.49108	−	4.21227i	−0.163901	−	0.277147i
$232$	−12.8442	+	4.67492i	−0.843265	+	0.306923i
$233$	−1.85763	−	10.5351i	−0.121697	−	0.690179i	−0.983215	−	0.182451i	$-0.941597\pi$
$233$	−1.85763	−	10.5351i	−0.121697	−	0.690179i	0.861518	−	0.507727i	$-0.169514\pi$
$234$	2.99348	+	8.22451i	0.195690	+	0.537653i
$235$	7.01718	+	12.1541i	0.457750	+	0.792847i
$236$	3.75797	−	6.50900i	0.244623	−	0.423700i
$237$	−0.402426	−	0.0709586i	−0.0261404	−	0.00460926i
$238$	4.82821	−	4.13821i	0.312967	−	0.268240i
$239$	3.51129	+	6.08174i	0.227127	+	0.393395i	0.956955	−	0.290235i	$-0.0937335\pi$
$239$	3.51129	+	6.08174i	0.227127	+	0.393395i	−0.729829	+	0.683630i	$0.760400\pi$
$240$			0.808288i			0.0521748i
$241$	−7.19452	+	2.61859i	−0.463440	+	0.168678i	−0.563178	−	0.826335i	$-0.690422\pi$
$241$	−7.19452	+	2.61859i	−0.463440	+	0.168678i	0.0997386	+	0.995014i	$0.468199\pi$
$242$	0.743587	+	0.886173i	0.0477996	+	0.0569653i
$243$	−9.52146	−	7.98945i	−0.610802	−	0.512524i
$244$	10.2034	+	12.1599i	0.653205	+	0.778459i
$245$	7.10896	−	8.84145i	0.454175	−	0.564859i
$246$			1.47824i			0.0942489i
$247$	−16.4961	+	8.80228i	−1.04962	+	0.560076i
$248$	−7.71843	−	4.45624i	−0.490121	−	0.282971i
$249$	−1.68194	+	4.62110i	−0.106589	+	0.292850i
$250$	−8.40102	−	3.05772i	−0.531327	−	0.193387i
$251$	8.49211	+	23.3319i	0.536017	+	1.47270i	0.851801	+	0.523865i	$0.175510\pi$
$251$	8.49211	+	23.3319i	0.536017	+	1.47270i	−0.315784	+	0.948831i	$0.602268\pi$
$252$	5.29032	+	8.94563i	0.333259	+	0.563522i
$253$	2.45212	+	2.05757i	0.154163	+	0.129359i
$254$	−7.32626			−0.459690
$255$	2.71894			0.170266
$256$	−9.45052	−	7.92993i	−0.590657	−	0.495620i
$257$	−16.9725	+	6.17750i	−1.05872	+	0.385342i	−0.811946	−	0.583732i	$-0.801592\pi$
$257$	−16.9725	+	6.17750i	−1.05872	+	0.385342i	−0.246771	+	0.969074i	$0.579370\pi$
$258$	3.13349	−	1.80912i	0.195082	−	0.112631i
$259$	−12.7619	+	15.5364i	−0.792988	+	0.965382i
$260$	6.43630	−	7.67048i	0.399162	−	0.475703i
$261$	−14.2637	+	2.51508i	−0.882903	+	0.155680i
$262$	1.70080	−	9.64569i	0.105076	−	0.595913i
$263$	2.99351	+	16.9770i	0.184588	+	1.04685i	0.926484	+	0.376334i	$0.122816\pi$
$263$	2.99351	+	16.9770i	0.184588	+	1.04685i	−0.741896	+	0.670515i	$0.766073\pi$
$264$	3.06009	+	3.64687i	0.188336	+	0.224450i
$265$	−15.7916			−0.970070
$266$	6.73500	−	5.39261i	0.412949	−	0.330642i
$267$	−7.24988			−0.443686
$268$	−12.1281	−	14.4537i	−0.740842	−	0.882901i
$269$	−4.06292	−	23.0420i	−0.247721	−	1.40489i	−0.814088	−	0.580741i	$-0.802763\pi$
$269$	−4.06292	−	23.0420i	−0.247721	−	1.40489i	0.566367	−	0.824153i	$-0.308348\pi$
$270$	0.629710	−	3.57126i	0.0383229	−	0.217340i
$271$	−18.8669	+	3.32674i	−1.14608	+	0.202085i	−0.714265	−	0.699875i	$-0.753239\pi$
$271$	−18.8669	+	3.32674i	−1.14608	+	0.202085i	−0.431818	+	0.901961i	$0.642128\pi$
$272$	1.97220	−	2.35038i	0.119582	−	0.142513i
$273$	−0.967994	+	5.84686i	−0.0585857	+	0.353868i
$274$	−7.12982	+	4.11640i	−0.430728	+	0.248681i
$275$	7.89941	−	2.87515i	0.476352	−	0.173378i
$276$	0.520680	+	0.436903i	0.0313413	+	0.0262985i
$277$	16.3054			0.979699			0.489849	−	0.871807i	$-0.337052\pi$
$277$	16.3054			0.979699			0.489849	+	0.871807i	$0.337052\pi$
$278$	2.81053			0.168564
$279$	−7.23456	−	6.07051i	−0.433122	−	0.363432i
$280$	−5.41792	+	9.61506i	−0.323783	+	0.574610i
$281$	5.47490	+	15.0422i	0.326605	+	0.897341i	0.988964	+	0.148154i	$0.0473332\pi$
$281$	5.47490	+	15.0422i	0.326605	+	0.897341i	−0.662359	+	0.749187i	$0.730445\pi$
$282$	3.17897	+	1.15705i	0.189305	+	0.0689013i
$283$	−1.10898	+	3.04690i	−0.0659221	+	0.181120i	−0.968280	−	0.249868i	$-0.919613\pi$
$283$	−1.10898	+	3.04690i	−0.0659221	+	0.181120i	0.902358	+	0.430988i	$0.141835\pi$
$284$	−2.36215	−	1.36379i	−0.140168	−	0.0809261i
$285$	3.68701	+	0.123327i	0.218400	+	0.00730524i
$286$		−	11.3670i		−	0.672146i
$287$	4.91454	−	8.72172i	0.290096	−	0.514827i
$288$	−10.2767	−	12.2473i	−0.605563	−	0.721682i
$289$	5.11650	+	4.29325i	0.300971	+	0.252544i
$290$	−4.13904	−	4.93272i	−0.243053	−	0.289659i
$291$	−5.42902	+	1.97600i	−0.318255	+	0.115835i
$292$		−	10.8408i		−	0.634412i
$293$	14.5124	+	25.1362i	0.847825	+	1.46848i	0.883145	+	0.469099i	$0.155421\pi$
$293$	14.5124	+	25.1362i	0.847825	+	1.46848i	−0.0353209	+	0.999376i	$0.511245\pi$
$294$	−0.0572232	−	2.73411i	−0.00333733	−	0.159457i
$295$	8.32892	+	1.46861i	0.484928	+	0.0855060i
$296$	9.77954	−	16.9387i	0.568424	−	0.984539i
$297$	5.29679	+	9.17431i	0.307351	+	0.532347i
$298$	−2.43380	−	6.68680i	−0.140986	−	0.387356i
$299$	−0.673149	−	3.81762i	−0.0389292	−	0.220779i
$300$	1.67735	−	0.610506i	0.0968419	−	0.0352476i
$301$	−24.5024	+	0.256382i	−1.41230	+	0.0147776i
$302$	1.50139	+	8.51478i	0.0863951	+	0.489971i
$303$	−4.57143	+	2.63932i	−0.262622	+	0.151625i
$304$	2.78101	−	3.09778i	0.159502	−	0.177670i
$305$	−8.93101	+	15.4690i	−0.511388	+	0.885750i
$306$	−5.02141	+	4.21346i	−0.287055	+	0.240868i
$307$	10.6536	−	8.93942i	0.608032	−	0.510200i	−0.285984	−	0.958234i	$-0.592320\pi$
$307$	10.6536	−	8.93942i	0.608032	−	0.510200i	0.894016	+	0.448035i	$0.147876\pi$
$308$	−2.48280	−	13.2673i	−0.141470	−	0.755977i
$309$	−2.78530	−	1.01377i	−0.158450	−	0.0576711i
$310$	0.729085	−	4.13485i	0.0414093	−	0.234844i
$311$	−20.4315	+	11.7961i	−1.15857	+	0.668898i	−0.950960	−	0.309315i	$-0.899900\pi$
$311$	−20.4315	+	11.7961i	−1.15857	+	0.668898i	−0.207606	+	0.978213i	$0.566567\pi$
$312$		−	5.76528i		−	0.326395i
$313$	1.41624	+	3.89109i	0.0800506	+	0.219937i	0.973261	−	0.229701i	$-0.0737750\pi$
$313$	1.41624	+	3.89109i	0.0800506	+	0.219937i	−0.893211	+	0.449639i	$0.851553\pi$
$314$	−1.62309	+	9.20501i	−0.0915963	+	0.519469i
$315$	−7.42307	+	9.03683i	−0.418242	+	0.509167i
$316$	−0.976075	−	0.563537i	−0.0549085	−	0.0317014i
$317$	3.49680	+	0.616580i	0.196400	+	0.0346306i	0.270983	−	0.962584i	$-0.412651\pi$
$317$	3.49680	+	0.616580i	0.196400	+	0.0346306i	−0.0745828	+	0.997215i	$0.523763\pi$
$318$	−2.91600	+	2.44682i	−0.163521	+	0.137211i
$319$	18.5249	+	3.26644i	1.03720	+	0.182886i
$320$	1.37223	−	3.77017i	0.0767099	−	0.210759i
$321$	−3.44763	+	0.607909i	−0.192428	+	0.0339302i
$322$	0.629355	+	1.67442i	0.0350726	+	0.0933115i
$323$	−10.4204	−	9.35483i	−0.579804	−	0.520517i
$324$	−4.76749	−	8.25753i	−0.264861	−	0.458752i
$325$	−9.56639	−	3.48188i	−0.530648	−	0.193140i
$326$	−2.63137	+	0.463982i	−0.145738	+	0.0256976i
$327$	0.650605	−	0.775361i	0.0359785	−	0.0428775i
$328$	−3.33086	+	9.15147i	−0.183916	+	0.505305i
$329$	−14.9095	−	17.3955i	−0.821985	−	0.959043i
$330$	−1.12136	+	1.94226i	−0.0617291	+	0.106918i
$331$	15.9960	+	9.23528i	0.879218	+	0.507617i	0.870401	−	0.492344i	$-0.163860\pi$
$331$	15.9960	+	9.23528i	0.879218	+	0.507617i	0.00881783	+	0.999961i	$0.497193\pi$
$332$	−8.71856	+	10.3904i	−0.478493	+	0.570246i
$333$	13.3222	−	15.8768i	0.730051	−	0.870041i
$334$	−1.67578	−	0.967510i	−0.0916944	−	0.0529398i
$335$	10.6157	−	18.3870i	0.579998	−	1.00459i
$336$	−0.242712	−	1.29699i	−0.0132410	−	0.0707563i
$337$	−2.51418	+	6.90765i	−0.136956	+	0.376283i	−0.989143	−	0.146953i	$-0.953053\pi$
$337$	−2.51418	+	6.90765i	−0.136956	+	0.376283i	0.852187	+	0.523237i	$0.175276\pi$
$338$	−2.59688	+	3.09484i	−0.141252	+	0.168337i
$339$	7.81451	−	1.37791i	0.424426	−	0.0748378i
$340$	7.04696	+	2.56488i	0.382175	+	0.139100i
$341$	6.13269	+	10.6221i	0.332104	+	0.575220i
$342$	−7.00040	+	5.48590i	−0.378538	+	0.296644i
$343$	−8.75219	+	16.3217i	−0.472574	+	0.881291i
$344$	23.4752	−	4.13932i	1.26570	−	0.223177i
$345$	−0.261591	+	0.718715i	−0.0140836	+	0.0386943i
$346$	6.43033	+	1.13384i	0.345697	+	0.0609557i
$347$	−2.38147	+	1.99829i	−0.127844	+	0.107274i	−0.704468	−	0.709736i	$-0.748814\pi$
$347$	−2.38147	+	1.99829i	−0.127844	+	0.107274i	0.576624	+	0.817010i	$0.304370\pi$
$348$	3.93356	+	0.693593i	0.210861	+	0.0371805i
$349$	−10.3044	−	5.94927i	−0.551584	−	0.318457i	0.198176	−	0.980166i	$-0.436498\pi$
$349$	−10.3044	−	5.94927i	−0.551584	−	0.318457i	−0.749761	+	0.661709i	$0.769831\pi$
$350$	4.63455	+	0.767287i	0.247727	+	0.0410132i
$351$	2.22775	−	12.6342i	0.118908	−	0.674363i
$352$	7.10170	+	19.5118i	0.378522	+	1.03998i
$353$		−	4.33982i		−	0.230985i	−0.993308	−	0.115493i	$-0.963155\pi$
$353$		−	4.33982i		−	0.230985i	0.993308	−	0.115493i	$-0.0368446\pi$
$354$	1.76553	−	1.01933i	0.0938370	−	0.0541768i
$355$	0.532969	−	3.02262i	0.0282870	−	0.160424i
$356$	−18.7903	−	6.83912i	−0.995885	−	0.362472i
$357$	−4.36283	+	0.816441i	−0.230905	+	0.0432106i
$358$	8.94909	−	7.50918i	0.472974	−	0.396872i
$359$	18.7177	−	15.7060i	0.987884	−	0.828933i	0.00262385	−	0.999997i	$-0.499165\pi$
$359$	18.7177	−	15.7060i	0.987884	−	0.828933i	0.985260	+	0.171064i	$0.0547204\pi$
$360$	5.68833	−	9.85248i	0.299801	−	0.519271i
$361$	−13.7062	−	13.1583i	−0.721379	−	0.692540i
$362$	−8.10264	+	4.67806i	−0.425865	+	0.245873i
$363$	−0.140214	−	0.795192i	−0.00735931	−	0.0417367i
$364$	−8.02444	+	14.2408i	−0.420595	+	0.746421i
$365$	11.4631	−	4.17223i	0.600006	−	0.218384i
$366$	0.747667	+	4.24023i	0.0390812	+	0.221641i
$367$	10.6554	+	29.2756i	0.556210	+	1.52817i	0.825091	+	0.565000i	$0.191124\pi$
$367$	10.6554	+	29.2756i	0.556210	+	1.52817i	−0.268881	+	0.963173i	$0.586654\pi$
$368$	0.431545	+	0.747458i	0.0224958	+	0.0389639i
$369$	−5.15982	+	8.93708i	−0.268610	+	0.465246i
$370$	9.07422	+	1.60003i	0.471746	+	0.0831816i
$371$	25.3393	−	4.74189i	1.31555	−	0.246187i
$372$	1.30221	+	2.25549i	0.0675163	+	0.116942i
$373$		−	3.79546i		−	0.196521i	−0.995161	−	0.0982607i	$-0.968672\pi$
$373$		−	3.79546i		−	0.196521i	0.995161	−	0.0982607i	$-0.0313279\pi$
$374$	7.99982	−	2.91170i	0.413661	−	0.150560i
$375$	4.01116	+	4.78031i	0.207135	+	0.246854i
$376$	17.0732	+	14.3261i	0.880485	+	0.738814i
$377$	−14.6429	−	17.4507i	−0.754145	−	0.898755i
$378$	0.0619395	+	5.91956i	0.00318583	+	0.304469i
$379$		−	36.4721i		−	1.87345i	−0.350073	−	0.936723i	$-0.613843\pi$
$379$		−	36.4721i		−	1.87345i	0.350073	−	0.936723i	$-0.386157\pi$
$380$	9.43969	+	3.79775i	0.484246	+	0.194820i
$381$	4.42862	+	2.55687i	0.226885	+	0.130992i
$382$	−2.67743	+	7.35618i	−0.136989	+	0.376375i
$383$	22.9300	+	8.34584i	1.17167	+	0.426452i	0.853252	−	0.521498i	$-0.174627\pi$
$383$	22.9300	+	8.34584i	1.17167	+	0.426452i	0.318416	+	0.947951i	$0.396849\pi$
$384$	1.76319	+	4.84433i	0.0899775	+	0.247211i
$385$	13.0734	−	7.73141i	0.666280	−	0.394029i
$386$	6.74192	+	5.65714i	0.343155	+	0.287941i
$387$	25.2591			1.28399
$388$	−15.9350			−0.808979
$389$	−27.3044	−	22.9111i	−1.38439	−	1.16164i	−0.967557	−	0.252655i	$-0.918696\pi$
$389$	−27.3044	−	22.9111i	−1.38439	−	1.16164i	−0.416831	−	0.908984i	$-0.636859\pi$
$390$	2.55221	−	0.928927i	0.129236	−	0.0470381i
$391$	2.51431	−	1.45164i	0.127154	−	0.0734126i
$392$	5.80643	−	17.0553i	0.293269	−	0.861423i
$393$	−4.39446	+	5.23711i	−0.221671	+	0.264177i
$394$	8.72265	−	1.53804i	0.439441	−	0.0774853i
$395$	0.220230	−	1.24899i	0.0110810	−	0.0628433i
$396$	2.41610	+	13.7024i	0.121413	+	0.688569i
$397$	4.90898	+	5.85029i	0.246375	+	0.293618i	0.875033	−	0.484064i	$-0.160840\pi$
$397$	4.90898	+	5.85029i	0.246375	+	0.293618i	−0.628658	+	0.777682i	$0.716395\pi$
$398$	−17.1383			−0.859063
$399$	−5.95324	+	0.909243i	−0.298035	+	0.0455191i
$400$	2.26661			0.113331
$401$	12.8636	+	15.3303i	0.642378	+	0.765556i	0.984744	−	0.174010i	$-0.0556726\pi$
$401$	12.8636	+	15.3303i	0.642378	+	0.765556i	−0.342366	+	0.939567i	$0.611228\pi$
$402$	−0.888704	−	5.04009i	−0.0443245	−	0.251377i
$403$	2.57931	−	14.6280i	0.128485	−	0.728674i
$404$	−14.3381	+	2.52819i	−0.713345	+	0.125782i
$405$	6.89669	−	8.21916i	0.342700	−	0.408413i
$406$	8.12273	+	6.67221i	0.403124	+	0.331136i
$407$	−23.3110	+	13.4586i	−1.15548	+	0.667119i
$408$	4.05746	−	1.47679i	0.200874	−	0.0731121i
$409$	−11.3095	−	9.48980i	−0.559219	−	0.469241i	0.318829	−	0.947812i	$-0.396710\pi$
$409$	−11.3095	−	9.48980i	−0.559219	−	0.469241i	−0.878049	+	0.478572i	$0.841155\pi$
$410$	−4.58791			−0.226581
$411$	5.74651			0.283454
$412$	−6.26264	−	5.25498i	−0.308538	−	0.258894i
$413$	−13.8056	+	0.144456i	−0.679331	+	0.00710821i
$414$	−0.630660	−	1.73272i	−0.0309953	−	0.0851588i
$415$	−14.3422	−	5.22014i	−0.704032	−	0.256247i
$416$	8.60034	−	23.6293i	0.421667	−	1.15852i
$417$	−1.69893	−	0.980876i	−0.0831968	−	0.0480337i
$418$	10.9802	−	3.58555i	0.537060	−	0.175375i
$419$			8.39362i			0.410055i	0.978756	+	0.205028i	$0.0657284\pi$
$419$			8.39362i			0.410055i	−0.978756	+	0.205028i	$0.934272\pi$
$420$	2.77598	−	1.64168i	0.135454	−	0.0801057i
$421$	0.612503	+	0.729952i	0.0298515	+	0.0355757i	0.780764	−	0.624826i	$-0.214830\pi$
$421$	0.612503	+	0.729952i	0.0298515	+	0.0355757i	−0.750912	+	0.660402i	$0.770386\pi$
$422$	−0.220235	−	0.184799i	−0.0107209	−	0.00899590i
$423$	15.1806	+	18.0915i	0.738106	+	0.879640i
$424$	−23.5657	+	8.57723i	−1.14445	+	0.416547i
$425$		−	7.62447i		−	0.369841i
$426$	−0.369921	−	0.640722i	−0.0179227	−	0.0310431i
$427$	9.68575	−	27.5034i	0.468726	−	1.33098i
$428$	−9.50906	−	1.67670i	−0.459638	−	0.0810465i
$429$	−3.96710	+	6.87121i	−0.191533	+	0.331745i
$430$	5.61485	+	9.72521i	0.270772	+	0.468991i
$431$	8.49506	+	23.3400i	0.409192	+	1.12425i	0.957616	+	0.288047i	$0.0930058\pi$
$431$	8.49506	+	23.3400i	0.409192	+	1.12425i	−0.548424	+	0.836200i	$0.684772\pi$
$432$	0.496000	+	2.81295i	0.0238638	+	0.135338i
$433$	−15.2965	+	5.56749i	−0.735105	+	0.267556i	−0.682324	−	0.731050i	$-0.739031\pi$
$433$	−15.2965	+	5.56749i	−0.735105	+	0.267556i	−0.0527809	+	0.998606i	$0.516808\pi$
$434$	0.0717143	+	6.85374i	0.00344240	+	0.328990i
$435$	0.780474	+	4.42629i	0.0374208	+	0.212224i
$436$	2.41767	−	1.39584i	0.115786	−	0.0668488i
$437$	3.47538	−	1.85445i	0.166250	−	0.0887104i
$438$	1.47026	−	2.54657i	0.0702518	−	0.121680i
$439$	−23.6373	+	19.8341i	−1.12815	+	0.946628i	−0.998987	−	0.0449956i	$-0.985673\pi$
$439$	−23.6373	+	19.8341i	−1.12815	+	0.946628i	−0.129160	+	0.991624i	$0.541228\pi$
$440$	−11.3186	+	9.49741i	−0.539592	+	0.452771i
$441$	9.19754	−	16.7296i	0.437978	−	0.796646i
$442$	−9.68799	−	3.52614i	−0.460811	−	0.167721i
$443$	1.59688	−	9.05638i	0.0758703	−	0.430282i	−0.923086	−	0.384595i	$-0.874341\pi$
$443$	1.59688	−	9.05638i	0.0758703	−	0.430282i	0.998956	−	0.0456870i	$-0.0145477\pi$
$444$	−4.94984	+	2.85779i	−0.234909	+	0.135625i
$445$		−	22.5010i		−	1.06665i
$446$	2.02329	+	5.55893i	0.0958054	+	0.263223i
$447$	−0.862499	+	4.89147i	−0.0407948	+	0.231359i
$448$	−1.06979	+	6.46169i	−0.0505426	+	0.305286i
$449$	28.7339	+	16.5895i	1.35604	+	0.782907i	0.989087	−	0.147334i	$-0.0470691\pi$
$449$	28.7339	+	16.5895i	1.35604	+	0.782907i	0.366949	+	0.930241i	$0.380402\pi$
$450$	−4.76888	−	0.840882i	−0.224807	−	0.0396396i
$451$	10.2670	−	8.61500i	0.483452	−	0.405664i
$452$	21.5536	+	3.80048i	1.01379	+	0.178759i
$453$	2.06409	−	5.67105i	0.0969796	−	0.266449i
$454$	17.6002	−	3.10339i	0.826018	−	0.145649i
$455$	−18.1465	−	3.00430i	−0.850723	−	0.140844i
$456$	5.56910	−	1.81856i	0.260797	−	0.0851621i
$457$	4.54287	+	7.86848i	0.212507	+	0.368072i	0.952498	−	0.304544i	$-0.0985040\pi$
$457$	4.54287	+	7.86848i	0.212507	+	0.368072i	−0.739992	+	0.672616i	$0.765171\pi$
$458$	7.82325	+	2.84743i	0.365556	+	0.133052i
$459$	9.46227	−	1.66845i	0.441661	−	0.0778767i
$460$	−1.35599	+	1.61600i	−0.0632233	+	0.0753465i
$461$	−2.08554	+	5.72999i	−0.0971335	+	0.266872i	−0.978737	−	0.205118i	$-0.934242\pi$
$461$	−2.08554	+	5.72999i	−0.0971335	+	0.266872i	0.881604	+	0.471990i	$0.156464\pi$
$462$	1.21613	−	3.45329i	0.0565794	−	0.160662i
$463$	−0.976101	+	1.69066i	−0.0453633	+	0.0785715i	−0.887816	−	0.460200i	$-0.847778\pi$
$463$	−0.976101	+	1.69066i	−0.0453633	+	0.0785715i	0.842452	+	0.538771i	$0.181111\pi$
$464$	4.39242	+	2.53596i	0.203913	+	0.117729i
$465$	−1.88379	+	2.24501i	−0.0873585	+	0.104110i
$466$	5.14440	−	6.13085i	0.238310	−	0.284006i
$467$	10.5837	+	6.11048i	0.489754	+	0.282759i	0.724472	−	0.689304i	$-0.242084\pi$
$467$	10.5837	+	6.11048i	0.489754	+	0.282759i	−0.234719	+	0.972063i	$0.575417\pi$
$468$	8.42495	−	14.5924i	0.389443	−	0.674536i
$469$	−11.5128	+	32.6915i	−0.531613	+	1.50955i
$470$	−3.59106	+	9.86637i	−0.165643	+	0.455102i
$471$	4.19369	−	4.99784i	0.193235	−	0.230288i
$472$	13.2269	−	2.33226i	0.608817	−	0.107351i
$473$	−30.8267	−	11.2200i	−1.41741	−	0.515896i
$474$	−0.152857	−	0.264755i	−0.00702093	−	0.0121606i
$475$	0.345834	−	10.3392i	0.0158680	−	0.474393i
$476$	−12.0778	−	1.99958i	−0.553585	−	0.0916504i
$477$	−26.1702	+	4.61450i	−1.19825	+	0.211284i
$478$	−1.79692	+	4.93698i	−0.0821890	+	0.225812i
$479$	−0.265133	−	0.0467501i	−0.0121142	−	0.00213607i	0.167588	−	0.985857i	$-0.446402\pi$
$479$	−0.265133	−	0.0467501i	−0.0121142	−	0.00213607i	−0.179702	+	0.983721i	$0.557513\pi$
$480$	−3.80056	+	3.18905i	−0.173471	+	0.145560i
$481$	32.1023	+	5.66049i	1.46374	+	0.258096i
$482$	−4.96050	−	2.86395i	−0.225945	−	0.130449i
$483$	0.203935	−	1.23181i	0.00927938	−	0.0560491i
$484$	0.386730	−	2.19325i	0.0175786	−	0.0996934i
$485$	−6.13280	−	16.8497i	−0.278476	−	0.765107i
$486$		−	9.29883i		−	0.421804i
$487$	−15.9886	+	9.23100i	−0.724511	+	0.418296i	−0.816411	−	0.577472i	$-0.804039\pi$
$487$	−15.9886	+	9.23100i	−0.724511	+	0.418296i	0.0919000	+	0.995768i	$0.470706\pi$
$488$	−4.92572	+	27.9351i	−0.222977	+	1.26456i
$489$	1.75256	+	0.637880i	0.0792535	+	0.0288459i
$490$	8.48570	−	0.177600i	0.383345	−	0.00802316i
$491$	23.2476	−	19.5071i	1.04915	−	0.880342i	0.0561466	−	0.998423i	$-0.482119\pi$
$491$	23.2476	−	19.5071i	1.04915	−	0.880342i	0.993004	+	0.118081i	$0.0376741\pi$
$492$	2.18007	−	1.82930i	0.0982853	−	0.0824711i
$493$	8.53053	−	14.7753i	0.384196	−	0.665446i
$494$	−12.9775	−	5.22105i	−0.583883	−	0.234906i
$495$	−13.5590	+	7.82830i	−0.609432	+	0.351856i
$496$	0.574274	+	3.25687i	0.0257857	+	0.146238i
$497$	0.0524239	+	5.01015i	0.00235153	+	0.224736i
$498$	−3.45720	+	1.25832i	−0.154921	+	0.0563866i
$499$	−6.57944	−	37.3139i	−0.294536	−	1.67040i	−0.669081	−	0.743190i	$-0.733312\pi$
$499$	−6.57944	−	37.3139i	−0.294536	−	1.67040i	0.374544	−	0.927209i	$-0.377799\pi$
$500$	5.88669	+	16.1735i	0.263261	+	0.723303i
$501$	0.675323	+	1.16969i	0.0301712	+	0.0522580i
$502$	−9.28780	+	16.0869i	−0.414535	+	0.717995i
$503$	−12.2182	−	2.15440i	−0.544783	−	0.0960599i	−0.105518	−	0.994417i	$-0.533650\pi$
$503$	−12.2182	−	2.15440i	−0.544783	−	0.0960599i	−0.439265	+	0.898358i	$0.644761\pi$
$504$	−6.16905	+	17.5175i	−0.274791	+	0.780290i
$505$	−8.19148	−	14.1881i	−0.364516	−	0.631361i
$506$			2.39479i			0.106461i
$507$	2.64988	−	0.964478i	0.117685	−	0.0428340i
$508$	9.06615	+	10.8046i	0.402245	+	0.479377i
$509$	1.11361	+	0.934431i	0.0493599	+	0.0414179i	0.667134	−	0.744938i	$-0.267521\pi$
$509$	1.11361	+	0.934431i	0.0493599	+	0.0414179i	−0.617774	+	0.786356i	$0.711965\pi$
$510$	1.30751	+	1.55823i	0.0578975	+	0.0689996i
$511$	−17.1410	+	10.1369i	−0.758271	+	0.448431i
$512$			10.5148i			0.464693i
$513$	12.9070	−	1.83331i	0.569857	−	0.0809427i
$514$	−11.7023	−	6.75631i	−0.516165	−	0.298008i
$515$	3.14636	−	8.64456i	0.138645	−	0.380925i
$516$	−6.54570	−	2.38244i	−0.288158	−	0.104881i
$517$	−10.4905	−	28.8224i	−0.461371	−	1.26761i
$518$	−15.0410	+	0.157382i	−0.660865	+	0.00691498i
$519$	−3.49134	−	2.92958i	−0.153253	−	0.128594i
$520$	17.8933			0.784675
$521$	−42.0851			−1.84378			−0.921890	−	0.387451i	$-0.873356\pi$
$521$	−42.0851			−1.84378			−0.921890	+	0.387451i	$0.873356\pi$
$522$	−8.30070	−	6.96512i	−0.363312	−	0.304855i
$523$	−10.7708	+	3.92025i	−0.470975	+	0.171421i	−0.566594	−	0.823997i	$-0.691739\pi$
$523$	−10.7708	+	3.92025i	−0.470975	+	0.171421i	0.0956192	+	0.995418i	$0.469517\pi$
$524$	−16.3300	+	9.42812i	−0.713379	+	0.411869i
$525$	−2.53374	−	2.08127i	−0.110581	−	0.0908342i
$526$	−8.29004	+	9.87969i	−0.361463	+	0.430775i
$527$	10.9555	−	1.93176i	0.477230	−	0.0841486i
$528$	0.306752	−	1.73968i	0.0133497	−	0.0757098i
$529$	−3.85209	−	21.8463i	−0.167482	−	0.949839i
$530$	−7.59403	−	9.05022i	−0.329864	−	0.393116i
$531$	14.2320			0.617616
$532$	−16.2874	−	3.25935i	−0.706148	−	0.141311i
$533$	−16.2308			−0.703036
$534$	−3.48640	−	4.15493i	−0.150871	−	0.179801i
$535$	−1.88673	−	10.7002i	−0.0815705	−	0.462609i
$536$	5.85488	−	33.2047i	0.252892	−	1.43422i
$537$	−8.03031	+	1.41596i	−0.346533	+	0.0611032i
$538$	11.2516	−	13.4091i	0.485091	−	0.578109i
$539$	−18.6560	+	16.3315i	−0.803573	+	0.703450i
$540$	−6.04608	+	3.49071i	−0.260182	+	0.150216i
$541$	17.2757	−	6.28786i	0.742742	−	0.270336i	0.0571938	−	0.998363i	$-0.481785\pi$
$541$	17.2757	−	6.28786i	0.742742	−	0.270336i	0.685548	+	0.728027i	$0.259562\pi$
$542$	−10.9795	−	9.21288i	−0.471609	−	0.395727i
$543$	6.53058			0.280254
$544$	18.8327			0.807444
$545$	2.40644	+	2.01924i	0.103081	+	0.0864948i
$546$	−3.81635	+	2.25694i	−0.163325	+	0.0965881i
$547$	2.82652	+	7.76579i	0.120853	+	0.332041i	0.985337	−	0.170619i	$-0.0545768\pi$
$547$	2.82652	+	7.76579i	0.120853	+	0.332041i	−0.864484	+	0.502660i	$0.832355\pi$
$548$	14.8939	+	5.42092i	0.636234	+	0.231570i
$549$	−10.2804	+	28.2452i	−0.438758	+	1.20548i
$550$	5.44651	+	3.14454i	0.232240	+	0.134084i
$551$	12.2380	−	19.6491i	0.521357	−	0.837081i
$552$			1.21462i			0.0516976i
$553$	0.0216623	+	2.07026i	0.000921173	+	0.0880366i
$554$	7.84113	+	9.34470i	0.333138	+	0.397018i
$555$	−4.92683	−	4.13410i	−0.209132	−	0.175483i
$556$	−3.47799	−	4.14491i	−0.147500	−	0.175783i
$557$	−27.6253	+	10.0548i	−1.17052	+	0.426035i	−0.852845	−	0.522164i	$-0.825125\pi$
$557$	−27.6253	+	10.0548i	−1.17052	+	0.426035i	−0.317677	+	0.948199i	$0.602903\pi$
$558$		−	7.06540i		−	0.299102i
$559$	19.8639	+	34.4053i	0.840153	+	1.45519i
$560$	4.02537	−	0.753291i	0.170103	−	0.0318324i
$561$	−5.85197	−	1.03186i	−0.247070	−	0.0435652i
$562$	−5.98789	+	10.3713i	−0.252584	+	0.437488i
$563$	10.4364	+	18.0765i	0.439844	+	0.761832i	0.997677	−	0.0681213i	$-0.0217005\pi$
$563$	10.4364	+	18.0765i	0.439844	+	0.761832i	−0.557833	+	0.829953i	$0.688367\pi$
$564$	−2.22754	−	6.12011i	−0.0937963	−	0.257703i
$565$	4.27653	+	24.2534i	0.179915	+	1.02035i
$566$	−2.27949	+	0.829666i	−0.0958141	+	0.0348735i
$567$	−8.59844	+	15.2595i	−0.361101	+	0.640837i
$568$	−0.846390	−	4.80012i	−0.0355137	−	0.201408i
$569$	−28.4503	+	16.4258i	−1.19270	+	0.688605i	−0.958918	−	0.283684i	$-0.908443\pi$
$569$	−28.4503	+	16.4258i	−1.19270	+	0.688605i	−0.233781	+	0.972289i	$0.575110\pi$
$570$	1.70237	+	2.17234i	0.0713045	+	0.0909895i
$571$	6.26997	−	10.8599i	0.262390	−	0.454473i	−0.704486	−	0.709717i	$-0.748823\pi$
$571$	6.26997	−	10.8599i	0.262390	−	0.454473i	0.966877	+	0.255244i	$0.0821559\pi$
$572$	−16.7639	+	14.0665i	−0.700932	+	0.588152i
$573$	4.18578	−	3.51229i	0.174864	−	0.146728i
$574$	7.36180	−	1.37766i	0.307275	−	0.0575022i
$575$	2.01543	+	0.733557i	0.0840492	+	0.0305914i
$576$	1.17239	−	6.64898i	0.0488498	−	0.277041i
$577$	35.8272	−	20.6848i	1.49151	−	0.861121i	0.491553	−	0.870848i	$-0.336429\pi$
$577$	35.8272	−	20.6848i	1.49151	−	0.861121i	0.999953	+	0.00972651i	$0.00309609\pi$
$578$			4.99687i			0.207842i
$579$	−2.10105	−	5.77260i	−0.0873168	−	0.239901i
$580$	−2.15266	+	12.2083i	−0.0893844	+	0.506924i
$581$	24.5812	+	4.06961i	1.01980	+	0.168836i
$582$	−3.74322	−	2.16115i	−0.155162	−	0.0895825i
$583$	33.9883	+	5.99305i	1.40765	+	0.248207i
$584$	14.8402	−	12.4524i	0.614091	−	0.515284i
$585$	18.6725	+	3.29246i	0.772013	+	0.136127i
$586$	−7.42678	+	20.4049i	−0.306797	+	0.842919i
$587$	−32.7379	+	5.77257i	−1.35124	+	0.238259i	−0.801958	−	0.597380i	$-0.796208\pi$
$587$	−32.7379	+	5.77257i	−1.35124	+	0.238259i	−0.549278	+	0.835640i	$0.685097\pi$
$588$	−3.96140	+	3.46782i	−0.163365	+	0.143011i
$589$	14.9439	−	2.12263i	0.615751	−	0.0874615i
$590$	3.16363	+	5.47957i	0.130245	+	0.225590i
$591$	−5.80950	−	2.11449i	−0.238971	−	0.0869783i
$592$	−7.14744	+	1.26029i	−0.293758	+	0.0517975i
$593$	−3.26263	+	3.88825i	−0.133980	+	0.159671i	−0.828863	−	0.559452i	$-0.811012\pi$
$593$	−3.26263	+	3.88825i	−0.133980	+	0.159671i	0.694883	+	0.719123i	$0.255456\pi$
$594$	−2.71065	+	7.44745i	−0.111219	+	0.305572i
$595$	−2.53394	−	13.5406i	−0.103881	−	0.555112i
$596$	−6.84976	+	11.8641i	−0.280577	+	0.485974i
$597$	10.3598	+	5.98126i	0.424000	+	0.244797i
$598$	1.86418	−	2.22164i	0.0762319	−	0.0908497i
$599$	14.3627	−	17.1168i	0.586844	−	0.699373i	−0.388152	−	0.921595i	$-0.626887\pi$
$599$	14.3627	−	17.1168i	0.586844	−	0.699373i	0.974996	+	0.222222i	$0.0713310\pi$
$600$	2.76243	+	1.59489i	0.112776	+	0.0651111i
$601$	13.0788	−	22.6531i	0.533493	−	0.924038i	−0.465741	−	0.884921i	$-0.654212\pi$
$601$	13.0788	−	22.6531i	0.533493	−	0.924038i	0.999235	−	0.0391168i	$-0.0124544\pi$
$602$	−11.9299	−	13.9191i	−0.486227	−	0.567301i
$603$	12.2197	−	33.5733i	0.497623	−	1.36721i
$604$	10.6995	−	12.7511i	0.435356	−	0.518837i
$605$	2.46799	−	0.435173i	0.100338	−	0.0176923i
$606$	−3.71096	−	1.35068i	−0.150747	−	0.0548676i
$607$	−17.6429	−	30.5584i	−0.716104	−	1.24033i	−0.962532	−	0.271167i	$-0.912590\pi$
$607$	−17.6429	−	30.5584i	−0.716104	−	1.24033i	0.246429	−	0.969161i	$-0.420743\pi$
$608$	25.5380	+	0.854220i	1.03570	+	0.0346432i
$609$	−2.58148	−	6.86809i	−0.104607	−	0.278309i
$610$	−13.1601	+	2.32049i	−0.532839	+	0.0939538i
$611$	−12.7043	+	34.9047i	−0.513959	+	1.41209i
$612$	12.4279	+	2.19137i	0.502366	+	0.0885808i
$613$	−35.7910	+	30.0322i	−1.44558	+	1.21299i	−0.509858	+	0.860259i	$0.670302\pi$
$613$	−35.7910	+	30.0322i	−1.44558	+	1.21299i	−0.935725	+	0.352729i	$0.885254\pi$
$614$	10.2464	+	1.80672i	0.413512	+	0.0729133i
$615$	2.77333	+	1.60118i	0.111831	+	0.0645659i
$616$	15.3100	−	18.6384i	0.616857	−	0.750961i
$617$	−1.20123	+	6.81250i	−0.0483596	+	0.274261i	−0.999393	−	0.0348261i	$-0.988912\pi$
$617$	−1.20123	+	6.81250i	−0.0483596	+	0.274261i	0.951034	+	0.309087i	$0.100023\pi$
$618$	−0.758432	−	2.08377i	−0.0305086	−	0.0838217i
$619$			6.22300i			0.250123i	0.992149	+	0.125062i	$0.0399129\pi$
$619$			6.22300i			0.250123i	−0.992149	+	0.125062i	$0.960087\pi$
$620$	−7.00022	+	4.04158i	−0.281136	+	0.162314i
$621$	−0.469338	+	2.66175i	−0.0188339	+	0.106812i
$622$	−16.5857	−	6.03672i	−0.665028	−	0.242050i
$623$	6.75659	+	36.1053i	0.270697	+	1.44653i
$624$	−1.63880	+	1.37511i	−0.0656044	+	0.0550486i
$625$	−5.74611	+	4.82156i	−0.229844	+	0.192862i
$626$	−1.54894	+	2.68284i	−0.0619080	+	0.107228i
$627$	−7.88876	−	1.66469i	−0.315047	−	0.0664813i
$628$	15.5839	−	8.99738i	0.621866	−	0.359034i
$629$	4.23938	+	24.0427i	0.169035	+	0.958645i
$630$	−8.74872	+	0.0915425i	−0.348557	+	0.00364714i
$631$	26.9315	−	9.80226i	1.07213	−	0.390222i	0.255154	−	0.966900i	$-0.417874\pi$
$631$	26.9315	−	9.80226i	1.07213	−	0.390222i	0.816971	+	0.576679i	$0.195651\pi$
$632$	−0.349740	−	1.98347i	−0.0139119	−	0.0788984i
$633$	0.0686342	+	0.188571i	0.00272797	+	0.00749502i
$634$	1.32821	+	2.30054i	0.0527501	+	0.0913659i
$635$	−7.93559	+	13.7448i	−0.314914	+	0.545447i
$636$	7.21703	+	1.27256i	0.286174	+	0.0504602i
$637$	30.0202	−	0.628304i	1.18944	−	0.0248943i
$638$	7.03645	+	12.1875i	0.278576	+	0.482507i
$639$		−	5.16488i		−	0.204319i
$640$	−15.0350	+	5.47231i	−0.594312	+	0.216312i
$641$	19.0993	+	22.7616i	0.754376	+	0.899030i	0.997478	−	0.0709706i	$-0.0226097\pi$
$641$	19.0993	+	22.7616i	0.754376	+	0.899030i	−0.243103	+	0.970001i	$0.578165\pi$
$642$	−2.00633	−	1.68351i	−0.0791834	−	0.0664427i
$643$	−4.99714	−	5.95536i	−0.197068	−	0.234856i	0.658457	−	0.752619i	$-0.271210\pi$
$643$	−4.99714	−	5.95536i	−0.197068	−	0.234856i	−0.855524	+	0.517762i	$0.826765\pi$
$644$	1.69058	−	3.00023i	0.0666180	−	0.118226i
$645$		−	7.83834i		−	0.308634i
$646$	0.350230	−	10.4706i	0.0137796	−	0.411960i
$647$	−6.73080	−	3.88603i	−0.264615	−	0.152776i	0.361823	−	0.932247i	$-0.382155\pi$
$647$	−6.73080	−	3.88603i	−0.264615	−	0.152776i	−0.626438	+	0.779471i	$0.715488\pi$
$648$	5.82766	−	16.0114i	0.228932	−	0.628986i
$649$	−17.3690	−	6.32180i	−0.681792	−	0.248152i
$650$	−2.60491	−	7.15693i	−0.102173	−	0.280718i
$651$	2.34861	−	4.16802i	0.0920492	−	0.163358i
$652$	3.94056	+	3.30653i	0.154324	+	0.129494i
$653$	−41.7694			−1.63456			−0.817282	−	0.576237i	$-0.804520\pi$
$653$	−41.7694			−1.63456			−0.817282	+	0.576237i	$0.804520\pi$
$654$	0.757232			0.0296101
$655$	−16.2541	−	13.6388i	−0.635100	−	0.532912i
$656$	3.39580	−	1.23597i	0.132584	−	0.0482565i
$657$	17.7777	−	10.2640i	0.693575	−	0.400435i
$658$	2.79958	−	16.9100i	0.109139	−	0.659220i
$659$	24.1464	−	28.7765i	0.940608	−	1.12097i	−0.0518823	−	0.998653i	$-0.516522\pi$
$659$	24.1464	−	28.7765i	0.940608	−	1.12097i	0.992491	−	0.122320i	$-0.0390335\pi$
$660$	4.25208	−	0.749756i	0.165512	−	0.0291842i
$661$	1.55496	−	8.81863i	0.0604810	−	0.343005i	−0.939519	−	0.342497i	$-0.888727\pi$
$661$	1.55496	−	8.81863i	0.0604810	−	0.343005i	1.00000		0.000507716i	$-0.000161611\pi$
$662$	2.39955	+	13.6085i	0.0932610	+	0.528910i
$663$	4.62563	+	5.51262i	0.179645	+	0.214092i
$664$	−24.2382			−0.940624
$665$	−2.82196	−	18.4767i	−0.109431	−	0.716496i
$666$	15.5055			0.600827
$667$	3.08493	+	3.67648i	0.119449	+	0.142354i
$668$	0.646888	+	3.66868i	0.0250288	+	0.141946i
$669$	0.717021	−	4.06643i	0.0277216	−	0.157217i
$670$	15.6426	−	2.75822i	0.604327	−	0.106559i
$671$	25.0928	−	29.9045i	0.968698	−	1.15445i
$672$	5.14081	−	6.25841i	0.198311	−	0.241423i
$673$	16.4777	−	9.51341i	0.635169	−	0.366715i	−0.147582	−	0.989050i	$-0.547149\pi$
$673$	16.4777	−	9.51341i	0.635169	−	0.366715i	0.782751	+	0.622335i	$0.213816\pi$
$674$	−5.16784	+	1.88094i	−0.199058	+	0.0724511i
$675$	5.43739	+	4.56252i	0.209285	+	0.175611i
$676$	7.77782			0.299147
$677$	34.3893			1.32169			0.660845	−	0.750523i	$-0.270198\pi$
$677$	34.3893			1.32169			0.660845	+	0.750523i	$0.270198\pi$
$678$	4.54761	+	3.81590i	0.174650	+	0.146549i
$679$	14.9004	+	25.1957i	0.571824	+	0.966920i
$680$	4.58343	+	12.5929i	0.175767	+	0.482915i
$681$	−11.7222	−	4.26652i	−0.449194	−	0.163493i
$682$	−3.13842	+	8.62274i	−0.120176	+	0.330182i
$683$	32.2741	+	18.6334i	1.23493	+	0.712989i	0.968054	−	0.250742i	$-0.0806745\pi$
$683$	32.2741	+	18.6334i	1.23493	+	0.712989i	0.266878	+	0.963730i	$0.414008\pi$
$684$	16.7534	+	3.53531i	0.640582	+	0.135176i
$685$			17.8351i			0.681443i
$686$	−13.5629	+	2.83306i	−0.517833	+	0.108167i
$687$	−3.73529	−	4.45155i	−0.142510	−	0.169837i
$688$	−6.77584	−	5.68561i	−0.258327	−	0.216762i
$689$	−26.8657	−	32.0173i	−1.02350	−	1.21976i
$690$	−0.537695	+	0.195705i	−0.0204697	+	0.00745035i
$691$		−	27.7396i		−	1.05526i	−0.849473	−	0.527632i	$-0.823080\pi$
$691$		−	27.7396i		−	1.05526i	0.849473	−	0.527632i	$-0.176920\pi$
$692$	−6.28529	−	10.8864i	−0.238931	−	0.413840i
$693$	19.4062	−	16.6329i	0.737182	−	0.631830i
$694$	−2.29045	−	0.403868i	−0.0869443	−	0.0153306i
$695$	3.04428	−	5.27285i	0.115476	−	0.200011i
$696$	3.56884	+	6.18141i	0.135277	+	0.234306i
$697$	−4.15758	−	11.4229i	−0.157479	−	0.432671i
$698$	−1.54576	−	8.76646i	−0.0585080	−	0.331815i
$699$	−5.24939	+	1.91062i	−0.198550	+	0.0722663i
$700$	−4.60362	−	7.78445i	−0.174000	−	0.294224i
$701$	−2.59124	−	14.6956i	−0.0978696	−	0.555046i	−0.993830	−	0.110913i	$-0.964623\pi$
$701$	−2.59124	−	14.6956i	−0.0978696	−	0.555046i	0.895961	−	0.444134i	$-0.146488\pi$
$702$	8.31200	−	4.79894i	0.313716	−	0.181124i
$703$	4.65827	+	32.7954i	0.175690	+	1.23690i
$704$	−4.38426	+	7.59377i	−0.165238	+	0.286201i
$705$	5.61412	−	4.71080i	0.211440	−	0.177419i
$706$	2.48716	−	2.08698i	0.0936056	−	0.0785444i
$707$	17.4045	+	20.3065i	0.654564	+	0.763706i
$708$	−3.68811	−	1.34236i	−0.138608	−	0.0504491i
$709$	−2.61683	+	14.8408i	−0.0982771	+	0.557357i	0.895417	+	0.445229i	$0.146878\pi$
$709$	−2.61683	+	14.8408i	−0.0982771	+	0.557357i	−0.993694	+	0.112128i	$0.964233\pi$
$710$	1.98857	−	1.14810i	0.0746297	−	0.0430875i
$711$		−	2.13420i		−	0.0800387i
$712$	−12.2215	−	33.5782i	−0.458018	−	1.25839i
$713$	−0.543406	+	3.08181i	−0.0203507	+	0.115415i
$714$	−2.56595	−	2.10773i	−0.0960281	−	0.0788798i
$715$	−21.3258	−	12.3124i	−0.797538	−	0.460459i
$716$	−22.1488	−	3.90543i	−0.827738	−	0.145953i
$717$	2.80922	−	2.35722i	0.104912	−	0.0880318i
$718$	18.0024	+	3.17430i	0.671842	+	0.118464i
$719$	6.04927	−	16.6202i	0.225600	−	0.619830i	−0.774316	−	0.632799i	$-0.781906\pi$
$719$	6.04927	−	16.6202i	0.225600	−	0.619830i	0.999916	+	0.0129688i	$0.00412820\pi$
$720$	−4.15736	+	0.733054i	−0.154936	+	0.0273193i
$721$	−2.45289	+	14.8159i	−0.0913505	+	0.551774i
$722$	0.949859	−	14.1828i	0.0353501	−	0.527828i
$723$	1.99904	+	3.46243i	0.0743450	+	0.128769i
$724$	16.9260	+	6.16057i	0.629050	+	0.228956i
$725$	12.4122	−	2.18861i	0.460979	−	0.0812831i
$726$	0.388299	−	0.462757i	0.0144111	−	0.0171745i
$727$	−11.3051	+	31.0606i	−0.419284	+	1.15197i	0.532828	+	0.846224i	$0.321129\pi$
$727$	−11.3051	+	31.0606i	−0.419284	+	1.15197i	−0.952112	+	0.305750i	$0.901093\pi$
$728$	−28.7118	+	5.37300i	−1.06413	+	0.199137i
$729$	6.68493	−	11.5786i	0.247590	−	0.428838i
$730$	7.90362	+	4.56316i	0.292526	+	0.168890i
$731$	−19.1254	+	22.7927i	−0.707377	+	0.843019i
$732$	5.32818	−	6.34988i	0.196935	−	0.234698i
$733$	−7.54061	−	4.35357i	−0.278519	−	0.160803i	0.354234	−	0.935157i	$-0.384742\pi$
$733$	−7.54061	−	4.35357i	−0.278519	−	0.160803i	−0.632753	+	0.774354i	$0.718075\pi$
$734$	−11.6538	+	20.1850i	−0.430151	+	0.745043i
$735$	−5.19147	−	2.85415i	−0.191490	−	0.105277i
$736$	−1.81191	+	4.97817i	−0.0667877	+	0.183498i
$737$	−29.8262	+	35.5455i	−1.09866	+	1.30934i
$738$	−7.60318	+	1.34065i	−0.279877	+	0.0493498i
$739$	23.4345	+	8.52944i	0.862050	+	0.313761i	0.734943	−	0.678128i	$-0.237209\pi$
$739$	23.4345	+	8.52944i	0.862050	+	0.313761i	0.127107	+	0.991889i	$0.459431\pi$
$740$	−8.86954	−	15.3625i	−0.326051	−	0.564737i
$741$	6.02255	+	7.68519i	0.221244	+	0.282323i
$742$	14.9030	+	12.2417i	0.547108	+	0.449408i
$743$	−10.7113	+	1.88869i	−0.392959	+	0.0692893i	−0.366637	−	0.930364i	$-0.619491\pi$
$743$	−10.7113	+	1.88869i	−0.392959	+	0.0692893i	−0.0263224	+	0.999654i	$0.508380\pi$
$744$	−1.59179	+	4.37340i	−0.0583577	+	0.160336i
$745$	−15.1814	−	2.67688i	−0.556202	−	0.0980734i
$746$	2.17519	−	1.82520i	0.0796393	−	0.0668253i
$747$	−25.2936	−	4.45995i	−0.925445	−	0.163181i
$748$	−14.1938	−	8.19479i	−0.518976	−	0.299631i
$749$	6.24051	+	16.6031i	0.228023	+	0.606662i
$750$	−0.810683	+	4.59761i	−0.0296020	+	0.167881i
$751$	−8.64337	−	23.7475i	−0.315401	−	0.866558i	−0.991542	−	0.129785i	$-0.958571\pi$
$751$	−8.64337	−	23.7475i	−0.315401	−	0.866558i	0.676141	−	0.736772i	$-0.263651\pi$
$752$		−	8.27013i		−	0.301581i
$753$	11.2287	−	6.48289i	0.409197	−	0.236250i
$754$	2.95942	−	16.7837i	0.107776	−	0.611227i
$755$	17.6009	+	6.40620i	0.640562	+	0.233146i
$756$	8.65340	−	7.41673i	0.314721	−	0.269744i
$757$	−31.3648	+	26.3182i	−1.13997	+	0.956550i	−0.999438	−	0.0335254i	$-0.989327\pi$
$757$	−31.3648	+	26.3182i	−1.13997	+	0.956550i	−0.140534	+	0.990076i	$0.544882\pi$
$758$	20.9023	−	17.5391i	0.759205	−	0.637048i
$759$	0.835781	−	1.44762i	0.0303369	−	0.0525451i
$760$	5.64417	+	17.2845i	0.204735	+	0.626973i
$761$	−7.53298	+	4.34917i	−0.273070	+	0.157657i	−0.630282	−	0.776366i	$-0.717061\pi$
$761$	−7.53298	+	4.34917i	−0.273070	+	0.157657i	0.357212	+	0.934023i	$0.383727\pi$
$762$	0.664335	+	3.76763i	0.0240663	+	0.136487i
$763$	−4.46773	−	2.51749i	−0.161743	−	0.0911392i
$764$	14.1620	−	5.15456i	0.512365	−	0.186485i
$765$	2.46586	+	13.9846i	0.0891534	+	0.505614i
$766$	6.24380	+	17.1547i	0.225598	+	0.619824i
$767$	11.1921	+	19.3853i	0.404124	+	0.699963i
$768$	−3.22112	+	5.57914i	−0.116232	+	0.201320i
$769$	54.2267	+	9.56164i	1.95547	+	0.344801i	0.998510	+	0.0545693i	$0.0173786\pi$
$769$	54.2267	+	9.56164i	1.95547	+	0.344801i	0.956956	+	0.290232i	$0.0937325\pi$
$770$	10.7178	+	3.77442i	0.386241	+	0.136021i
$771$	4.71591	+	8.16820i	0.169839	+	0.294170i
$772$		−	16.9435i		−	0.609809i
$773$	6.91063	−	2.51527i	0.248558	−	0.0904678i	−0.214737	−	0.976672i	$-0.568889\pi$
$773$	6.91063	−	2.51527i	0.248558	−	0.0904678i	0.463295	+	0.886204i	$0.346667\pi$
$774$	12.1469	+	14.4761i	0.436610	+	0.520332i
$775$	6.29548	+	5.28254i	0.226140	+	0.189754i
$776$	−18.3039	−	21.8137i	−0.657072	−	0.783067i
$777$	9.14702	+	5.15419i	0.328148	+	0.184905i
$778$		−	26.6660i		−	0.956021i
$779$	−5.11976	−	15.6785i	−0.183434	−	0.561742i
$780$	−4.52829	−	2.61441i	−0.162139	−	0.0936108i
$781$	−2.29422	+	6.30331i	−0.0820936	+	0.225550i
$782$	2.04105	+	0.742881i	0.0729878	+	0.0265654i
$783$	5.43231	+	14.9252i	0.194135	+	0.533381i
$784$	−6.23295	+	2.41747i	−0.222605	+	0.0863384i
$785$	15.5115	+	13.0157i	0.553629	+	0.464550i
$786$	−5.11466			−0.182434
$787$	−51.5321			−1.83692			−0.918460	−	0.395514i	$-0.870566\pi$
$787$	−51.5321			−1.83692			−0.918460	+	0.395514i	$0.870566\pi$
$788$	−13.0624	−	10.9607i	−0.465330	−	0.390458i
$789$	8.45923	−	3.07891i	0.301157	−	0.109612i
$790$	0.821704	−	0.474411i	0.0292349	−	0.0168788i
$791$	−14.1450	−	37.6331i	−0.502937	−	1.33808i
$792$	−15.9821	+	19.0467i	−0.567900	+	0.676796i
$793$	−46.5572	+	8.20929i	−1.65329	+	0.291520i
$794$	−0.992140	+	5.62670i	−0.0352097	+	0.199684i
$795$	1.43196	+	8.12105i	0.0507864	+	0.288024i
$796$	21.2084	+	25.2752i	0.751711	+	0.895854i
$797$	−15.3472			−0.543625			−0.271812	−	0.962350i	$-0.587623\pi$
$797$	−15.3472			−0.543625			−0.271812	+	0.962350i	$0.587623\pi$
$798$	−3.38395	−	2.97457i	−0.119790	−	0.105299i
$799$	−27.8192			−0.984174
$800$	8.94278	+	10.6576i	0.316175	+	0.376803i
$801$	−6.57508	−	37.2891i	−0.232319	−	1.31755i
$802$	−2.59983	+	14.7444i	−0.0918031	+	0.520641i
$803$	−26.2555	+	4.62954i	−0.926535	+	0.163373i
$804$	−6.33326	+	7.54769i	−0.223357	+	0.266186i
$805$	3.82308	+	0.632942i	0.134746	+	0.0223083i
$806$	9.62373	−	5.55627i	0.338982	−	0.195711i
$807$	−11.4812	+	4.17883i	−0.404159	+	0.147102i
$808$	−19.9304	−	16.7236i	−0.701148	−	0.588333i
$809$	−30.9066			−1.08662			−0.543310	−	0.839532i	$-0.682829\pi$
$809$	−30.9066			−1.08662			−0.543310	+	0.839532i	$0.682829\pi$
$810$	8.02698			0.282039
$811$	7.61699	+	6.39141i	0.267469	+	0.224433i	0.766651	−	0.642064i	$-0.221922\pi$
$811$	7.61699	+	6.39141i	0.267469	+	0.224433i	−0.499182	+	0.866497i	$0.666366\pi$
$812$	−0.211740	−	20.2360i	−0.00743062	−	0.710145i
$813$	3.42165	+	9.40091i	0.120003	+	0.329704i
$814$	−18.9232	−	6.88750i	−0.663259	−	0.241407i
$815$	−1.97975	+	5.43931i	−0.0693475	+	0.190531i
$816$	−1.38755	−	0.801104i	−0.0485740	−	0.0280442i
$817$	−26.9688	+	30.0406i	−0.943518	+	1.05099i
$818$		−	11.0451i		−	0.386182i
$819$	−30.9507	+	0.323854i	−1.08150	+	0.0113164i
$820$	5.67748	+	6.76616i	0.198266	+	0.236284i
$821$	3.65193	+	3.06433i	0.127453	+	0.106946i	0.704286	−	0.709916i	$-0.251267\pi$
$821$	3.65193	+	3.06433i	0.127453	+	0.106946i	−0.576833	+	0.816862i	$0.695712\pi$
$822$	2.76344	+	3.29334i	0.0963861	+	0.114868i
$823$	−11.4683	+	4.17411i	−0.399759	+	0.145500i	−0.534073	−	0.845438i	$-0.679339\pi$
$823$	−11.4683	+	4.17411i	−0.399759	+	0.145500i	0.134314	+	0.990939i	$0.457117\pi$
$824$		−	14.6092i		−	0.508935i
$825$	−2.19489	−	3.80167i	−0.0764164	−	0.132357i
$826$	−6.72179	−	7.84259i	−0.233881	−	0.272879i
$827$	−32.4737	−	5.72599i	−1.12922	−	0.199112i	−0.422335	−	0.906440i	$-0.638789\pi$
$827$	−32.4737	−	5.72599i	−1.12922	−	0.199112i	−0.706886	+	0.707328i	$0.749901\pi$
$828$	−1.77495	+	3.07431i	−0.0616839	+	0.106840i
$829$	9.27853	+	16.0709i	0.322257	+	0.558165i	0.980953	−	0.194244i	$-0.0622253\pi$
$829$	9.27853	+	16.0709i	0.322257	+	0.558165i	−0.658697	+	0.752409i	$0.728892\pi$
$830$	−3.90536	−	10.7299i	−0.135557	−	0.372440i
$831$	−1.47855	−	8.38530i	−0.0512905	−	0.290883i
$832$	9.97851	−	3.63188i	0.345943	−	0.125913i
$833$	8.13195	+	20.9665i	0.281755	+	0.726447i
$834$	−0.254855	−	1.44535i	−0.00882491	−	0.0500485i
$835$	−3.63030	+	2.09596i	−0.125632	+	0.0725336i
$836$	−18.8758	−	11.7563i	−0.652833	−	0.406602i
$837$	−5.17820	+	8.96891i	−0.178985	+	0.310011i
$838$	−4.81041	+	4.03641i	−0.166173	+	0.139436i
$839$	4.03903	−	3.38915i	0.139443	−	0.117007i	−0.570398	−	0.821368i	$-0.693211\pi$
$839$	4.03903	−	3.38915i	0.139443	−	0.117007i	0.709841	+	0.704362i	$0.248767\pi$
$840$	5.43597	+	1.91436i	0.187559	+	0.0660518i
$841$	−0.748951	−	0.272596i	−0.0258259	−	0.00939986i
$842$	−0.123791	+	0.702054i	−0.00426612	+	0.0241944i
$843$	7.23919	−	4.17955i	0.249331	−	0.143951i
$844$			0.553486i			0.0190518i
$845$	2.99339	+	8.22427i	0.102976	+	0.282924i
$846$	−3.06811	+	17.4001i	−0.105484	+	0.598228i
$847$	−3.82948	+	1.43937i	−0.131582	+	0.0494572i
$848$	8.05892	+	4.65282i	0.276744	+	0.159778i
$849$	1.66747	+	0.294021i	0.0572275	+	0.0100908i
$850$	4.36961	−	3.66654i	0.149876	−	0.125761i
$851$	−6.76325	−	1.19254i	−0.231841	−	0.0408799i
$852$	−0.487152	+	1.33844i	−0.0166895	+	0.0458541i
$853$	−1.05681	+	0.186343i	−0.0361844	+	0.00638028i	−0.191711	−	0.981451i	$-0.561404\pi$
$853$	−1.05681	+	0.186343i	−0.0361844	+	0.00638028i	0.155527	+	0.987832i	$0.450293\pi$
$854$	20.4201	−	7.67520i	0.698761	−	0.262640i
$855$	2.70951	+	19.0757i	0.0926634	+	0.652374i
$856$	−8.62738	−	14.9431i	−0.294878	−	0.510743i
$857$	47.0876	+	17.1385i	1.60848	+	0.585440i	0.981139	−	0.193303i	$-0.0619200\pi$
$857$	47.0876	+	17.1385i	1.60848	+	0.585440i	0.627344	+	0.778743i	$0.284142\pi$
$858$	−5.84565	+	1.03075i	−0.199567	+	0.0351891i
$859$	−9.84433	+	11.7320i	−0.335884	+	0.400291i	−0.907378	−	0.420315i	$-0.861920\pi$
$859$	−9.84433	+	11.7320i	−0.335884	+	0.400291i	0.571494	+	0.820606i	$0.306364\pi$
$860$	7.39423	−	20.3155i	0.252141	−	0.692752i
$861$	−4.93091	−	1.73650i	−0.168045	−	0.0591796i
$862$	−9.29102	+	16.0925i	−0.316453	+	0.548113i
$863$	−4.05140	−	2.33908i	−0.137911	−	0.0796231i	0.429457	−	0.903087i	$-0.358705\pi$
$863$	−4.05140	−	2.33908i	−0.137911	−	0.0796231i	−0.567368	+	0.823464i	$0.692038\pi$
$864$	−11.2695	+	13.4305i	−0.383398	+	0.456916i
$865$	9.09236	−	10.8358i	0.309149	−	0.368430i
$866$	−10.5467	−	6.08915i	−0.358392	−	0.206918i
$867$	1.74391	−	3.02054i	0.0592263	−	0.102583i
$868$	10.0190	−	8.58718i	0.340067	−	0.291468i
$869$	−0.948002	+	2.60461i	−0.0321588	+	0.0883555i
$870$	−2.16140	+	2.57585i	−0.0732782	+	0.0873295i
$871$	55.3395	−	9.75785i	1.87511	−	0.330632i
$872$	4.68787	+	1.70625i	0.158751	+	0.0577808i
$873$	−15.0871	−	26.1316i	−0.510621	−	0.884421i
$874$	2.73407	+	1.09996i	0.0924812	+	0.0372068i
$875$	20.0683	−	24.4311i	0.678432	−	0.825922i
$876$	−5.57505	+	0.983032i	−0.188364	+	0.0332136i
$877$	14.2336	−	39.1066i	0.480635	−	1.32053i	−0.428315	−	0.903630i	$-0.640893\pi$
$877$	14.2336	−	39.1066i	0.480635	−	1.32053i	0.908950	−	0.416905i	$-0.136885\pi$
$878$	−22.7339	−	4.00860i	−0.767233	−	0.135284i
$879$	11.6107	−	9.74254i	0.391619	−	0.328608i
$880$	5.39933	+	0.952048i	0.182011	+	0.0320935i
$881$	28.8250	+	16.6421i	0.971139	+	0.560688i	0.899583	−	0.436749i	$-0.143870\pi$
$881$	28.8250	+	16.6421i	0.971139	+	0.560688i	0.0715560	+	0.997437i	$0.477204\pi$
$882$	14.0108	−	2.77395i	0.471767	−	0.0934038i
$883$	−2.85543	+	16.1939i	−0.0960927	+	0.544969i	0.898314	+	0.439353i	$0.144792\pi$
$883$	−2.85543	+	16.1939i	−0.0960927	+	0.544969i	−0.994407	+	0.105616i	$0.966319\pi$
$884$	6.78848	+	18.6512i	0.228321	+	0.627308i
$885$		−	4.41644i		−	0.148457i
$886$	5.95817	−	3.43995i	0.200169	−	0.115567i
$887$	−0.596015	+	3.38017i	−0.0200122	+	0.113495i	−0.993178	−	0.116612i	$-0.962797\pi$
$887$	−0.596015	+	3.38017i	−0.0200122	+	0.113495i	0.973165	+	0.230107i	$0.0739077\pi$
$888$	−9.59773	−	3.49329i	−0.322079	−	0.117227i
$889$	8.60621	−	24.4380i	0.288643	−	0.819623i
$890$	12.8954	−	10.8205i	0.432255	−	0.362705i
$891$	−17.9630	+	15.0728i	−0.601783	+	0.504956i
$892$	5.69441	−	9.86301i	0.190663	−	0.330238i
$893$	−37.7243	−	1.26184i	−1.26239	−	0.0422258i
$894$	−3.21809	+	1.85796i	−0.107629	+	0.0621396i
$895$	−4.39463	−	24.9232i	−0.146896	−	0.833090i
$896$	22.4821	−	13.2956i	0.751075	−	0.444175i
$897$	−1.90222	+	0.692353i	−0.0635134	+	0.0231170i
$898$	4.31035	+	24.4452i	0.143838	+	0.815747i
$899$	6.28959	+	17.2805i	0.209770	+	0.576338i
$900$	4.66131	+	8.07363i	0.155377	+	0.269121i
$901$	15.6512	−	27.1087i	0.521418	−	0.903123i
$902$	9.87456	+	1.74115i	0.328787	+	0.0579740i
$903$	2.35369	+	12.5775i	0.0783260	+	0.418552i
$904$	19.5551	+	33.8705i	0.650394	+	1.12652i
$905$			20.2686i			0.673749i
$906$	4.24270	−	1.54422i	0.140954	−	0.0513032i
$907$	0.868454	+	1.03498i	0.0288365	+	0.0343660i	0.780270	−	0.625443i	$-0.215082\pi$
$907$	0.868454	+	1.03498i	0.0288365	+	0.0343660i	−0.751433	+	0.659809i	$0.770637\pi$
$908$	−26.3568	−	22.1160i	−0.874682	−	0.733946i
$909$	−17.7210	−	21.1191i	−0.587769	−	0.700476i
$910$	−7.00472	−	11.8446i	−0.232204	−	0.392644i
$911$			25.7442i			0.852945i	0.904501	+	0.426472i	$0.140244\pi$
$911$			25.7442i			0.852945i	−0.904501	+	0.426472i	$0.859756\pi$
$912$	−1.84525	−	1.14927i	−0.0611024	−	0.0380563i
$913$	28.8877	+	16.6783i	0.956044	+	0.551972i
$914$	−2.32483	+	6.38741i	−0.0768985	+	0.211277i
$915$	8.76498	+	3.19019i	0.289761	+	0.105464i
$916$	−5.48184	−	15.0612i	−0.181125	−	0.497637i
$917$	30.1769	+	17.0042i	0.996529	+	0.561527i
$918$	5.50651	+	4.62051i	0.181742	+	0.152500i
$919$	−50.1259			−1.65350			−0.826750	−	0.562570i	$-0.809813\pi$
$919$	−50.1259			−1.65350			−0.826750	+	0.562570i	$0.809813\pi$
$920$	−3.76974			−0.124285
$921$	−5.56328	−	4.66814i	−0.183316	−	0.153821i
$922$	−4.28679	+	1.56027i	−0.141178	+	0.0513846i
$923$	7.03505	−	4.06169i	0.231561	−	0.133692i
$924$	−6.59778	+	2.47988i	−0.217051	+	0.0815820i
$925$	−11.5929	+	13.8159i	−0.381172	+	0.454264i
$926$	−1.43832	+	0.253614i	−0.0472661	+	0.00833429i
$927$	2.68817	−	15.2453i	0.0882909	−	0.500723i
$928$	5.40594	+	30.6586i	0.177459	+	1.00642i
$929$	−23.1134	−	27.5455i	−0.758325	−	0.903737i	0.239415	−	0.970917i	$-0.423044\pi$
$929$	−23.1134	−	27.5455i	−0.758325	−	0.903737i	−0.997741	+	0.0671802i	$0.978600\pi$
$930$	−2.19252			−0.0718954
$931$	10.0763	+	28.8005i	0.330238	+	0.943898i
$932$	−15.4078			−0.504699
$933$	7.91904	+	9.43754i	0.259258	+	0.308971i
$934$	1.58765	+	9.00401i	0.0519495	+	0.294620i
$935$	3.20252	−	18.1624i	0.104734	−	0.593974i
$936$	29.6532	−	5.22866i	0.969245	−	0.170904i
$937$	13.0008	−	15.4938i	0.424718	−	0.506159i	−0.510673	−	0.859775i	$-0.670604\pi$
$937$	13.0008	−	15.4938i	0.424718	−	0.506159i	0.935391	+	0.353616i	$0.115048\pi$
$938$	−24.2720	+	9.12301i	−0.792510	+	0.297877i
$939$	1.87262	−	1.08116i	0.0611108	−	0.0352823i
$940$	18.9946	−	6.91347i	0.619536	−	0.225493i
$941$	−37.7932	−	31.7123i	−1.23202	−	1.03379i	−0.998105	−	0.0615351i	$-0.980400\pi$
$941$	−37.7932	−	31.7123i	−1.23202	−	1.03379i	−0.233919	−	0.972256i	$-0.575155\pi$
$942$	4.88098			0.159031
$943$	3.41949			0.111354
$944$	−3.81778	−	3.20350i	−0.124258	−	0.104265i
$945$	11.1728	+	6.29569i	0.363452	+	0.204799i
$946$	−8.39405	−	23.0625i	−0.272914	−	0.749825i
$947$	16.2632	+	5.91931i	0.528482	+	0.192352i	0.592461	−	0.805599i	$-0.298157\pi$
$947$	16.2632	+	5.91931i	0.528482	+	0.192352i	−0.0639783	+	0.997951i	$0.520379\pi$
$948$	−0.201298	+	0.553061i	−0.00653785	+	0.0179626i
$949$	27.9610	+	16.1433i	0.907651	+	0.524033i
$950$	6.09172	−	4.77381i	0.197641	−	0.154883i
$951$		−	1.85419i		−	0.0601262i
$952$	−11.1360	−	18.8303i	−0.360920	−	0.610294i
$953$	6.93094	+	8.25997i	0.224515	+	0.267567i	0.866529	−	0.499126i	$-0.166345\pi$
$953$	6.93094	+	8.25997i	0.224515	+	0.267567i	−0.642014	+	0.766693i	$0.721901\pi$
$954$	−15.2296	−	12.7791i	−0.493076	−	0.413740i
$955$	10.9009	+	12.9912i	0.352744	+	0.420384i
$956$	9.50462	−	3.45940i	0.307401	−	0.111885i
$957$		−	9.82290i		−	0.317529i
$958$	−0.100707	−	0.174430i	−0.00325371	−	0.00563559i
$959$	−5.35551	−	28.6183i	−0.172938	−	0.924133i
$960$	−2.06329	−	0.363814i	−0.0665925	−	0.0117421i
$961$	9.50462	−	16.4625i	0.306601	−	0.531048i
$962$	12.1936	+	21.1200i	0.393138	+	0.680936i
$963$	−6.25346	−	17.1812i	−0.201515	−	0.553657i
$964$	1.91487	+	10.8597i	0.0616737	+	0.349769i
$965$	17.9160	−	6.52091i	0.576738	−	0.209915i
$966$	0.804023	−	0.475488i	0.0258690	−	0.0152986i
$967$	−3.44361	−	19.5297i	−0.110739	−	0.628032i	−0.988772	−	0.149432i	$-0.952255\pi$
$967$	−3.44361	−	19.5297i	−0.110739	−	0.628032i	0.878033	−	0.478600i	$-0.158856\pi$
$968$	3.44660	−	1.98990i	0.110778	−	0.0639577i
$969$	−3.86595	+	6.20710i	−0.124192	+	0.199401i
$970$	6.70743	−	11.6176i	0.215362	−	0.373019i
$971$	44.7338	−	37.5361i	1.43558	−	1.20459i	0.493255	−	0.869885i	$-0.335807\pi$
$971$	44.7338	−	37.5361i	1.43558	−	1.20459i	0.942322	−	0.334707i	$-0.108637\pi$
$972$	−13.7137	+	11.5072i	−0.439868	+	0.369093i
$973$	−3.30155	+	9.37500i	−0.105843	+	0.300549i
$974$	−12.9791	−	4.72399i	−0.415876	−	0.151366i
$975$	−0.923139	+	5.23538i	−0.0295641	+	0.167666i
$976$	9.11551	−	5.26284i	0.291780	−	0.168459i
$977$			0.882555i			0.0282354i	0.999900	+	0.0141177i	$0.00449396\pi$
$977$			0.882555i			0.0282354i	−0.999900	+	0.0141177i	$0.995506\pi$
$978$	0.477219	+	1.31115i	0.0152598	+	0.0419259i
$979$	−8.53933	+	48.4290i	−0.272918	+	1.54780i
$980$	−10.7629	−	12.2948i	−0.343807	−	0.392742i
$981$	4.57805	+	2.64314i	0.146166	+	0.0843889i
$982$	22.3591	+	3.94252i	0.713509	+	0.125811i
$983$	−1.81501	+	1.52298i	−0.0578899	+	0.0485754i	−0.671274	−	0.741210i	$-0.734252\pi$
$983$	−1.81501	+	1.52298i	−0.0578899	+	0.0485754i	0.613384	+	0.789785i	$0.289808\pi$
$984$	5.00831	+	0.883100i	0.159659	+	0.0281522i
$985$	6.56260	−	18.0306i	0.209102	−	0.574502i
$986$	12.5700	−	2.21644i	0.400311	−	0.0705857i
$987$	−7.59390	+	9.24479i	−0.241716	+	0.294265i
$988$	8.35953	+	25.5999i	0.265952	+	0.814441i
$989$	−4.18489	−	7.24844i	−0.133072	−	0.230487i
$990$	−11.0068	−	4.00616i	−0.349820	−	0.127324i
$991$	13.5829	−	2.39504i	0.431476	−	0.0760809i	0.0463078	−	0.998927i	$-0.485254\pi$
$991$	13.5829	−	2.39504i	0.431476	−	0.0760809i	0.385168	+	0.922846i	$0.374143\pi$
$992$	−13.0480	+	15.5500i	−0.414275	+	0.493714i
$993$	3.29888	−	9.06360i	0.104687	−	0.287625i
$994$	−2.84612	+	2.43938i	−0.0902736	+	0.0773724i
$995$	−18.5637	+	32.1532i	−0.588508	+	1.01933i
$996$	6.13398	+	3.54146i	0.194363	+	0.112215i
$997$	2.19631	−	2.61747i	0.0695580	−	0.0828960i	−0.730143	−	0.683294i	$-0.760547\pi$
$997$	2.19631	−	2.61747i	0.0695580	−	0.0828960i	0.799701	+	0.600398i	$0.204991\pi$
$998$	18.2207	−	21.7146i	0.576767	−	0.687364i
$999$	−19.6829	−	11.3639i	−0.622740	−	0.359539i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	133.2.bf.a.10.8	yes	66
7.2	even	3		931.2.bf.a.656.8		66
7.3	odd	6		931.2.be.b.48.4		66
7.4	even	3		931.2.be.a.48.4		66
7.5	odd	6		133.2.bb.a.124.8	yes	66
7.6	odd	2		931.2.bj.a.276.8		66
19.2	odd	18		133.2.bb.a.59.8	✓	66
133.2	odd	18		931.2.bj.a.705.8		66
133.40	even	18	inner	133.2.bf.a.40.8	yes	66
133.59	even	18		931.2.be.a.97.4		66
133.97	even	18		931.2.bf.a.325.8		66
133.116	odd	18		931.2.be.b.97.4		66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
133.2.bb.a.59.8	✓	66	19.2	odd	18
133.2.bb.a.124.8	yes	66	7.5	odd	6
133.2.bf.a.10.8	yes	66	1.1	even	1	trivial
133.2.bf.a.40.8	yes	66	133.40	even	18	inner
931.2.be.a.48.4		66	7.4	even	3
931.2.be.a.97.4		66	133.59	even	18
931.2.be.b.48.4		66	7.3	odd	6
931.2.be.b.97.4		66	133.116	odd	18
931.2.bf.a.325.8		66	133.97	even	18
931.2.bf.a.656.8		66	7.2	even	3
931.2.bj.a.276.8		66	7.6	odd	2
931.2.bj.a.705.8		66	133.2	odd	18

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:	\( N \)	\(=\)	\( 133 = 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	133.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.480891 + 0.573103i) q^{2} +(-0.0906786 - 0.514264i) q^{3} +(0.250105 - 1.41842i) q^{4} +(1.59609 - 0.281434i) q^{5} +(0.251120 - 0.299273i) q^{6} +(-2.47659 + 0.930864i) q^{7} +(2.22898 - 1.28690i) q^{8} +(2.56283 - 0.932795i) q^{9} +O(q^{10})\)	\(q+(0.480891 + 0.573103i) q^{2} +(-0.0906786 - 0.514264i) q^{3} +(0.250105 - 1.41842i) q^{4} +(1.59609 - 0.281434i) q^{5} +(0.251120 - 0.299273i) q^{6} +(-2.47659 + 0.930864i) q^{7} +(2.22898 - 1.28690i) q^{8} +(2.56283 - 0.932795i) q^{9} +(0.928835 + 0.779385i) q^{10} -3.54207 q^{11} -0.752119 q^{12} +(3.28598 + 2.75726i) q^{13} +(-1.72445 - 0.971697i) q^{14} +(-0.289462 - 0.795291i) q^{15} +(-0.897452 - 0.326646i) q^{16} +(-1.09878 + 3.01887i) q^{17} +(1.76703 + 1.02020i) q^{18} +(-1.62693 + 4.04390i) q^{19} -2.33431i q^{20} +(0.703283 + 1.18921i) q^{21} +(-1.70335 - 2.02997i) q^{22} +(-0.692284 - 0.580895i) q^{23} +(-0.863927 - 1.02959i) q^{24} +(-2.23017 + 0.811714i) q^{25} +3.20915i q^{26} +(-1.49539 - 2.59010i) q^{27} +(0.700944 + 3.74565i) q^{28} +(-5.22997 - 0.922184i) q^{29} +(0.316584 - 0.548340i) q^{30} +(-1.73138 - 2.99885i) q^{31} +(-2.00496 - 5.50858i) q^{32} +(0.321190 + 1.82156i) q^{33} +(-2.25852 + 0.822032i) q^{34} +(-3.69088 + 2.18274i) q^{35} +(-0.682114 - 3.86846i) q^{36} +(6.58118 - 3.79965i) q^{37} +(-3.09995 + 1.01227i) q^{38} +(1.11999 - 1.93989i) q^{39} +(3.19547 - 2.68132i) q^{40} +(-2.89857 + 2.43219i) q^{41} +(-0.343338 + 0.974935i) q^{42} +(8.70301 + 3.16764i) q^{43} +(-0.885890 + 5.02413i) q^{44} +(3.82799 - 2.21009i) q^{45} -0.676097i q^{46} +(2.96168 + 8.13716i) q^{47} +(-0.0866025 + 0.491147i) q^{48} +(5.26699 - 4.61073i) q^{49} +(-1.53766 - 0.887770i) q^{50} +(1.65213 + 0.291315i) q^{51} +(4.73278 - 3.97128i) q^{52} +(-9.59559 - 1.69196i) q^{53} +(0.765272 - 2.10257i) q^{54} +(-5.65346 + 0.996858i) q^{55} +(-4.32233 + 5.26200i) q^{56} +(2.22716 + 0.469976i) q^{57} +(-1.98654 - 3.44078i) q^{58} +(4.90362 + 1.78477i) q^{59} +(-1.20045 + 0.211672i) q^{60} +(-7.08422 + 8.44265i) q^{61} +(0.886041 - 2.43438i) q^{62} +(-5.47878 + 4.69580i) q^{63} +(1.23777 - 2.14388i) q^{64} +(6.02070 + 3.47605i) q^{65} +(-0.889485 + 1.06005i) q^{66} +(8.42056 - 10.0352i) q^{67} +(4.00720 + 2.31356i) q^{68} +(-0.235958 + 0.408692i) q^{69} +(-3.02584 - 1.06560i) q^{70} +(0.647705 - 1.77956i) q^{71} +(4.51208 - 5.37729i) q^{72} +(7.41246 - 1.30702i) q^{73} +(5.34242 + 1.94448i) q^{74} +(0.619664 + 1.07329i) q^{75} +(5.32902 + 3.31906i) q^{76} +(8.77226 - 3.29719i) q^{77} +(1.65035 - 0.291001i) q^{78} +(0.267641 - 0.735337i) q^{79} +(-1.52434 - 0.268783i) q^{80} +(5.07133 - 4.25535i) q^{81} +(-2.78779 - 0.491563i) q^{82} +(-8.15560 - 4.70864i) q^{83} +(1.86269 - 0.700121i) q^{84} +(-0.904137 + 5.12762i) q^{85} +(2.36981 + 6.51101i) q^{86} +2.77321i q^{87} +(-7.89519 + 4.55829i) q^{88} +(2.41083 - 13.6725i) q^{89} +(3.10746 + 1.13102i) q^{90} +(-10.7047 - 3.76981i) q^{91} +(-0.997095 + 0.836662i) q^{92} +(-1.38520 + 1.16232i) q^{93} +(-3.23919 + 5.61043i) q^{94} +(-1.45864 + 6.91229i) q^{95} +(-2.65106 + 1.53059i) q^{96} +(-1.92120 - 10.8956i) q^{97} +(5.17527 + 0.801268i) q^{98} +(-9.07774 + 3.30403i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9}+O(q^{10}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9} - 9 q^{10} - 12 q^{11} + 6 q^{12} - 30 q^{13} - 15 q^{14} + 9 q^{15} - 15 q^{16} + 18 q^{17} + 36 q^{18} + 12 q^{19} - 30 q^{21} - 3 q^{23} - 36 q^{24} - 27 q^{25} + 12 q^{27} - 33 q^{28} - 6 q^{29} + 3 q^{30} - 9 q^{31} + 60 q^{32} - 9 q^{33} - 36 q^{34} + 9 q^{35} + 27 q^{36} - 36 q^{37} + 18 q^{38} + 12 q^{39} + 9 q^{40} + 54 q^{41} - 9 q^{42} + 12 q^{43} + 18 q^{44} - 27 q^{45} + 45 q^{47} + 63 q^{48} - 45 q^{49} - 63 q^{50} - 3 q^{51} + 57 q^{52} + 27 q^{53} - 9 q^{54} - 45 q^{55} - 54 q^{56} - 54 q^{57} + 30 q^{58} + 36 q^{59} - 78 q^{60} - 42 q^{61} - 45 q^{62} + 57 q^{63} - 36 q^{64} + 45 q^{65} + 9 q^{66} + 30 q^{67} - 9 q^{68} + 69 q^{70} - 6 q^{71} - 6 q^{72} + 60 q^{73} + 9 q^{74} - 21 q^{75} + 54 q^{76} - 18 q^{77} + 3 q^{78} + 27 q^{79} - 45 q^{80} + 24 q^{81} - 9 q^{82} + 36 q^{83} + 99 q^{84} - 48 q^{85} - 48 q^{86} - 9 q^{88} - 9 q^{89} - 18 q^{90} + 24 q^{91} + 48 q^{92} - 3 q^{93} + 90 q^{94} - 75 q^{95} + 63 q^{96} - 27 q^{97} + 96 q^{98} + 48 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9 - 9 * q^10 - 12 * q^11 + 6 * q^12 - 30 * q^13 - 15 * q^14 + 9 * q^15 - 15 * q^16 + 18 * q^17 + 36 * q^18 + 12 * q^19 - 30 * q^21 - 3 * q^23 - 36 * q^24 - 27 * q^25 + 12 * q^27 - 33 * q^28 - 6 * q^29 + 3 * q^30 - 9 * q^31 + 60 * q^32 - 9 * q^33 - 36 * q^34 + 9 * q^35 + 27 * q^36 - 36 * q^37 + 18 * q^38 + 12 * q^39 + 9 * q^40 + 54 * q^41 - 9 * q^42 + 12 * q^43 + 18 * q^44 - 27 * q^45 + 45 * q^47 + 63 * q^48 - 45 * q^49 - 63 * q^50 - 3 * q^51 + 57 * q^52 + 27 * q^53 - 9 * q^54 - 45 * q^55 - 54 * q^56 - 54 * q^57 + 30 * q^58 + 36 * q^59 - 78 * q^60 - 42 * q^61 - 45 * q^62 + 57 * q^63 - 36 * q^64 + 45 * q^65 + 9 * q^66 + 30 * q^67 - 9 * q^68 + 69 * q^70 - 6 * q^71 - 6 * q^72 + 60 * q^73 + 9 * q^74 - 21 * q^75 + 54 * q^76 - 18 * q^77 + 3 * q^78 + 27 * q^79 - 45 * q^80 + 24 * q^81 - 9 * q^82 + 36 * q^83 + 99 * q^84 - 48 * q^85 - 48 * q^86 - 9 * q^88 - 9 * q^89 - 18 * q^90 + 24 * q^91 + 48 * q^92 - 3 * q^93 + 90 * q^94 - 75 * q^95 + 63 * q^96 - 27 * q^97 + 96 * q^98 + 48 * q^99

Introduction

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