LMFDB - Embedded newform 462.2.bc.b.107.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(95,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 20, 21]))

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

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

chi := DirichletCharacter("462.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.bc (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			107.1
Character	$\chi$	$=$	462.107
Dual form			462.2.bc.b.95.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.104528 - 0.994522i) q^{2} +(-1.72793 + 0.119419i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.30191 - 2.92414i) q^{5} +(0.299383 + 1.70598i) q^{6} +(-2.04556 - 1.67800i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.97148 - 0.412695i) q^{9} +O(q^{10})$	\(q+(-0.104528 - 0.994522i) q^{2} +(-1.72793 + 0.119419i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.30191 - 2.92414i) q^{5} +(0.299383 + 1.70598i) q^{6} +(-2.04556 - 1.67800i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.97148 - 0.412695i) q^{9} +(-2.77204 + 1.60044i) q^{10} +(0.980906 - 3.16825i) q^{11} +(1.66534 - 0.476066i) q^{12} +(-0.203849 - 0.280574i) q^{13} +(-1.45499 + 2.20975i) q^{14} +(2.59881 + 4.89724i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.764996 + 7.27845i) q^{17} +(-0.721038 - 2.91206i) q^{18} +(-1.45757 + 6.85733i) q^{19} +(1.88143 + 2.58956i) q^{20} +(3.73497 + 2.65518i) q^{21} +(-3.25343 - 0.644360i) q^{22} +(-6.50747 - 3.75709i) q^{23} +(-0.647534 - 1.60646i) q^{24} +(-3.50999 + 3.89823i) q^{25} +(-0.257729 + 0.232060i) q^{26} +(-5.08522 + 1.06796i) q^{27} +(2.34974 + 1.21603i) q^{28} +(0.673371 - 2.07242i) q^{29} +(4.59876 - 3.09648i) q^{30} +(-0.996173 - 0.443525i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.31659 + 5.59165i) q^{33} +7.31854 q^{34} +(-2.24357 + 8.16612i) q^{35} +(-2.82074 + 1.02148i) q^{36} +(0.821546 + 0.912419i) q^{37} +(6.97212 + 0.732799i) q^{38} +(0.385742 + 0.460468i) q^{39} +(2.37871 - 2.14180i) q^{40} +(1.62090 + 4.98861i) q^{41} +(2.25023 - 3.99205i) q^{42} -1.84972i q^{43} +(-0.300754 + 3.30296i) q^{44} +(-5.07538 - 8.15174i) q^{45} +(-3.05629 + 6.86454i) q^{46} +(0.790295 - 3.71805i) q^{47} +(-1.52997 + 0.811907i) q^{48} +(1.36864 + 6.86490i) q^{49} +(4.24377 + 3.08328i) q^{50} +(0.452673 - 12.6680i) q^{51} +(0.257729 + 0.232060i) q^{52} +(2.42620 - 5.44933i) q^{53} +(1.59366 + 4.94573i) q^{54} +(-10.5415 + 1.25648i) q^{55} +(0.963758 - 2.46397i) q^{56} +(1.69968 - 12.0230i) q^{57} +(-2.13146 - 0.453055i) q^{58} +(-1.23315 - 5.80153i) q^{59} +(-3.56021 - 4.24990i) q^{60} +(0.0447633 + 0.100540i) q^{61} +(-0.336967 + 1.03708i) q^{62} +(-6.77084 - 4.14194i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-0.555045 + 0.961366i) q^{65} +(5.69864 + 0.724887i) q^{66} +(5.60173 + 9.70248i) q^{67} +(-0.764996 - 7.27845i) q^{68} +(11.6931 + 5.71487i) q^{69} +(8.35590 + 1.37768i) q^{70} +(-3.42260 + 4.71081i) q^{71} +(1.31073 + 2.69851i) q^{72} +(-0.794456 - 3.73762i) q^{73} +(0.821546 - 0.912419i) q^{74} +(5.59948 - 7.15503i) q^{75} -7.01052i q^{76} +(-7.32283 + 4.83490i) q^{77} +(0.417625 - 0.431761i) q^{78} +(-6.66607 + 0.700632i) q^{79} +(-2.37871 - 2.14180i) q^{80} +(8.65937 - 2.45263i) q^{81} +(4.79185 - 2.13347i) q^{82} +(-9.88760 - 7.18376i) q^{83} +(-4.20540 - 1.82062i) q^{84} +(22.2792 - 7.23895i) q^{85} +(-1.83959 + 0.193349i) q^{86} +(-0.916051 + 3.66142i) q^{87} +(3.31630 - 0.0461467i) q^{88} +(-1.06962 - 0.617544i) q^{89} +(-7.57656 + 5.89967i) q^{90} +(-0.0538172 + 0.915989i) q^{91} +(7.14641 + 2.32201i) q^{92} +(1.77428 + 0.647417i) q^{93} +(-3.78029 - 0.397324i) q^{94} +(21.9494 - 4.66550i) q^{95} +(0.967384 + 1.43672i) q^{96} +(-8.00898 + 5.81887i) q^{97} +(6.68423 - 2.07872i) q^{98} +(1.60722 - 9.81921i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−0.104528	−	0.994522i	−0.0739128	−	0.703233i
$2$	−0.104528	−	0.994522i	−0.0739128	−	0.703233i
$3$	−1.72793	+	0.119419i	−0.997620	+	0.0689466i
$3$	−1.72793	+	0.119419i	−0.997620	+	0.0689466i
$4$	−0.978148	+	0.207912i	−0.489074	+	0.103956i
$5$	−1.30191	−	2.92414i	−0.582233	−	1.30772i	−0.929109	−	0.369806i	$-0.879424\pi$
$5$	−1.30191	−	2.92414i	−0.582233	−	1.30772i	0.346876	−	0.937911i	$-0.387242\pi$
$6$	0.299383	+	1.70598i	0.122222	+	0.696464i
$7$	−2.04556	−	1.67800i	−0.773150	−	0.634224i
$7$	−2.04556	−	1.67800i	−0.773150	−	0.634224i
$8$	0.309017	+	0.951057i	0.109254	+	0.336249i
$9$	2.97148	−	0.412695i	0.990493	−	0.137565i
$10$	−2.77204	+	1.60044i	−0.876595	+	0.506103i
$11$	0.980906	−	3.16825i	0.295754	−	0.955264i
$11$	0.980906	−	3.16825i	0.295754	−	0.955264i
$12$	1.66534	−	0.476066i	0.480743	−	0.137428i
$13$	−0.203849	−	0.280574i	−0.0565375	−	0.0778172i	0.779812	−	0.626014i	$-0.215315\pi$
$13$	−0.203849	−	0.280574i	−0.0565375	−	0.0778172i	−0.836350	+	0.548196i	$0.815315\pi$
$14$	−1.45499	+	2.20975i	−0.388862	+	0.590582i
$15$	2.59881	+	4.89724i	0.671010	+	1.26446i
$16$	0.913545	−	0.406737i	0.228386	−	0.101684i
$17$	−0.764996	+	7.27845i	−0.185539	+	1.76528i	0.365507	+	0.930809i	$0.380896\pi$
$17$	−0.764996	+	7.27845i	−0.185539	+	1.76528i	−0.551046	+	0.834475i	$0.685771\pi$
$18$	−0.721038	−	2.91206i	−0.169950	−	0.686380i
$19$	−1.45757	+	6.85733i	−0.334389	+	1.57318i	0.414226	+	0.910174i	$0.364052\pi$
$19$	−1.45757	+	6.85733i	−0.334389	+	1.57318i	−0.748616	+	0.663004i	$0.769281\pi$
$20$	1.88143	+	2.58956i	0.420700	+	0.579043i
$21$	3.73497	+	2.65518i	0.815037	+	0.579409i
$22$	−3.25343	−	0.644360i	−0.693633	−	0.137378i
$23$	−6.50747	−	3.75709i	−1.35690	−	0.783407i	−0.367696	−	0.929946i	$-0.619853\pi$
$23$	−6.50747	−	3.75709i	−1.35690	−	0.783407i	−0.989205	+	0.146539i	$0.953187\pi$
$24$	−0.647534	−	1.60646i	−0.132177	−	0.327916i
$25$	−3.50999	+	3.89823i	−0.701997	+	0.779647i
$26$	−0.257729	+	0.232060i	−0.0505448	+	0.0455107i
$27$	−5.08522	+	1.06796i	−0.978651	+	0.205529i
$28$	2.34974	+	1.21603i	0.444058	+	0.229809i
$29$	0.673371	−	2.07242i	0.125042	−	0.384840i	−0.868867	−	0.495046i	$-0.835151\pi$
$29$	0.673371	−	2.07242i	0.125042	−	0.384840i	0.993909	+	0.110206i	$0.0351512\pi$
$30$	4.59876	−	3.09648i	0.839615	−	0.565336i
$31$	−0.996173	−	0.443525i	−0.178918	−	0.0796594i	0.315323	−	0.948984i	$-0.397887\pi$
$31$	−0.996173	−	0.443525i	−0.178918	−	0.0796594i	−0.494241	+	0.869325i	$0.664554\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	−1.31659	+	5.59165i	−0.229188	+	0.973382i
$34$	7.31854			1.25512
$35$	−2.24357	+	8.16612i	−0.379232	+	1.38033i
$36$	−2.82074	+	1.02148i	−0.470123	+	0.170247i
$37$	0.821546	+	0.912419i	0.135061	+	0.150001i	0.806881	−	0.590714i	$-0.201154\pi$
$37$	0.821546	+	0.912419i	0.135061	+	0.150001i	−0.671820	+	0.740715i	$0.734487\pi$
$38$	6.97212	+	0.732799i	1.13103	+	0.118876i
$39$	0.385742	+	0.460468i	0.0617682	+	0.0737339i
$40$	2.37871	−	2.14180i	0.376107	−	0.338649i
$41$	1.62090	+	4.98861i	0.253141	+	0.779089i	0.994190	+	0.107638i	$0.0343287\pi$
$41$	1.62090	+	4.98861i	0.253141	+	0.779089i	−0.741049	+	0.671451i	$0.765671\pi$
$42$	2.25023	−	3.99205i	0.347218	−	0.615987i
$43$		−	1.84972i		−	0.282080i	−0.990004	−	0.141040i	$-0.954955\pi$
$43$		−	1.84972i		−	0.282080i	0.990004	−	0.141040i	$-0.0450446\pi$
$44$	−0.300754	+	3.30296i	−0.0453404	+	0.497940i
$45$	−5.07538	−	8.15174i	−0.756594	−	1.21519i
$46$	−3.05629	+	6.86454i	−0.450626	+	1.01212i
$47$	0.790295	−	3.71805i	0.115276	−	0.542333i	−0.882171	−	0.470929i	$-0.843919\pi$
$47$	0.790295	−	3.71805i	0.115276	−	0.542333i	0.997447	−	0.0714039i	$-0.0227479\pi$
$48$	−1.52997	+	0.811907i	−0.220832	+	0.117189i
$49$	1.36864	+	6.86490i	0.195520	+	0.980700i
$50$	4.24377	+	3.08328i	0.600160	+	0.436042i
$51$	0.452673	−	12.6680i	0.0633870	−	1.77387i
$52$	0.257729	+	0.232060i	0.0357406	+	0.0321809i
$53$	2.42620	−	5.44933i	0.333264	−	0.748524i	−0.666731	−	0.745299i	$-0.732307\pi$
$53$	2.42620	−	5.44933i	0.333264	−	0.748524i	0.999995	−	0.00322489i	$-0.00102652\pi$
$54$	1.59366	+	4.94573i	0.216870	+	0.673029i
$55$	−10.5415	+	1.25648i	−1.42141	+	0.169423i
$56$	0.963758	−	2.46397i	0.128788	−	0.329262i
$57$	1.69968	−	12.0230i	0.225128	−	1.59249i
$58$	−2.13146	−	0.453055i	−0.279874	−	0.0594891i
$59$	−1.23315	−	5.80153i	−0.160543	−	0.755295i	−0.982577	−	0.185856i	$-0.940494\pi$
$59$	−1.23315	−	5.80153i	−0.160543	−	0.755295i	0.822034	−	0.569438i	$-0.192839\pi$
$60$	−3.56021	−	4.24990i	−0.459622	−	0.548660i
$61$	0.0447633	+	0.100540i	0.00573135	+	0.0128728i	0.916388	−	0.400290i	$-0.131091\pi$
$61$	0.0447633	+	0.100540i	0.00573135	+	0.0128728i	−0.910657	+	0.413163i	$0.864424\pi$
$62$	−0.336967	+	1.03708i	−0.0427948	+	0.131709i
$63$	−6.77084	−	4.14194i	−0.853046	−	0.521836i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−0.555045	+	0.961366i	−0.0688448	+	0.119243i
$66$	5.69864	+	0.724887i	0.701455	+	0.0892274i
$67$	5.60173	+	9.70248i	0.684361	+	1.18535i	0.973637	+	0.228102i	$0.0732519\pi$
$67$	5.60173	+	9.70248i	0.684361	+	1.18535i	−0.289277	+	0.957245i	$0.593415\pi$
$68$	−0.764996	−	7.27845i	−0.0927694	−	0.882642i
$69$	11.6931	+	5.71487i	1.40769	+	0.687989i
$70$	8.35590	+	1.37768i	0.998722	+	0.164665i
$71$	−3.42260	+	4.71081i	−0.406188	+	0.559070i	−0.962284	−	0.272048i	$-0.912299\pi$
$71$	−3.42260	+	4.71081i	−0.406188	+	0.559070i	0.556095	+	0.831119i	$0.312299\pi$
$72$	1.31073	+	2.69851i	0.154471	+	0.318023i
$73$	−0.794456	−	3.73762i	−0.0929841	−	0.437456i	−0.999871	−	0.0160809i	$-0.994881\pi$
$73$	−0.794456	−	3.73762i	−0.0929841	−	0.437456i	0.906887	−	0.421375i	$-0.138452\pi$
$74$	0.821546	−	0.912419i	0.0955028	−	0.106067i
$75$	5.59948	−	7.15503i	0.646573	−	0.826192i
$76$		−	7.01052i		−	0.804162i
$77$	−7.32283	+	4.83490i	−0.834513	+	0.550987i
$78$	0.417625	−	0.431761i	0.0472867	−	0.0488873i
$79$	−6.66607	+	0.700632i	−0.749991	+	0.0788273i	−0.471809	−	0.881701i	$-0.656399\pi$
$79$	−6.66607	+	0.700632i	−0.749991	+	0.0788273i	−0.278183	+	0.960528i	$0.589732\pi$
$80$	−2.37871	−	2.14180i	−0.265948	−	0.239461i
$81$	8.65937	−	2.45263i	0.962152	−	0.272514i
$82$	4.79185	−	2.13347i	0.529171	−	0.235602i
$83$	−9.88760	−	7.18376i	−1.08530	−	0.788520i	−0.106705	−	0.994291i	$-0.534030\pi$
$83$	−9.88760	−	7.18376i	−1.08530	−	0.788520i	−0.978600	+	0.205771i	$0.934030\pi$
$84$	−4.20540	−	1.82062i	−0.458846	−	0.198646i
$85$	22.2792	−	7.23895i	2.41652	−	0.785174i
$86$	−1.83959	+	0.193349i	−0.198368	+	0.0208493i
$87$	−0.916051	+	3.66142i	−0.0982110	+	0.392545i
$88$	3.31630	−	0.0461467i	0.353519	−	0.00491926i
$89$	−1.06962	−	0.617544i	−0.113379	−	0.0654595i	0.442238	−	0.896898i	$-0.354185\pi$
$89$	−1.06962	−	0.617544i	−0.113379	−	0.0654595i	−0.555617	+	0.831438i	$0.687518\pi$
$90$	−7.57656	+	5.89967i	−0.798639	+	0.621880i
$91$	−0.0538172	+	0.915989i	−0.00564158	+	0.0960217i
$92$	7.14641	+	2.32201i	0.745064	+	0.242086i
$93$	1.77428	+	0.647417i	0.183984	+	0.0671340i
$94$	−3.78029	−	0.397324i	−0.389907	−	0.0409809i
$95$	21.9494	−	4.66550i	2.25196	−	0.478670i
$96$	0.967384	+	1.43672i	0.0987333	+	0.146635i
$97$	−8.00898	+	5.81887i	−0.813189	+	0.590816i	−0.914753	−	0.404013i	$-0.867615\pi$
$97$	−8.00898	+	5.81887i	−0.813189	+	0.590816i	0.101564	+	0.994829i	$0.467615\pi$
$98$	6.68423	−	2.07872i	0.675209	−	0.209983i
$99$	1.60722	−	9.81921i	0.161532	−	0.986868i
$100$	2.62280	−	4.54282i	0.262280	−	0.454282i
$101$	−6.49419	−	2.89140i	−0.646196	−	0.287705i	0.0573507	−	0.998354i	$-0.481735\pi$
$101$	−6.49419	−	2.89140i	−0.646196	−	0.287705i	−0.703547	+	0.710649i	$0.748401\pi$
$102$	−12.6459	+	0.873973i	−1.25213	+	0.0865362i
$103$	−4.83164	−	5.36608i	−0.476076	−	0.528736i	0.456493	−	0.889727i	$-0.349105\pi$
$103$	−4.83164	−	5.36608i	−0.476076	−	0.528736i	−0.932569	+	0.360991i	$0.882439\pi$
$104$	0.203849	−	0.280574i	0.0199890	−	0.0275125i
$105$	2.90153	−	14.3784i	0.283161	−	1.40319i
$106$	−5.67309	−	1.84330i	−0.551019	−	0.179037i
$107$	−14.5556	−	3.09389i	−1.40715	−	0.299098i	−0.559135	−	0.829077i	$-0.688867\pi$
$107$	−14.5556	−	3.09389i	−1.40715	−	0.299098i	−0.848011	+	0.529979i	$0.822200\pi$
$108$	4.75205	−	2.10190i	0.457267	−	0.202255i
$109$	13.8199	−	7.97890i	1.32370	−	0.764240i	0.339385	−	0.940647i	$-0.389781\pi$
$109$	13.8199	−	7.97890i	1.32370	−	0.764240i	0.984317	+	0.176407i	$0.0564476\pi$
$110$	2.35148	+	10.3524i	0.224205	+	0.987062i
$111$	−1.52853	−	1.47849i	−0.145082	−	0.140332i
$112$	−2.55122	−	0.700923i	−0.241067	−	0.0662310i
$113$	−10.0711	+	3.27230i	−0.947409	+	0.307832i	−0.741662	−	0.670774i	$-0.765962\pi$
$113$	−10.0711	+	3.27230i	−0.947409	+	0.307832i	−0.205747	+	0.978605i	$0.565962\pi$
$114$	−12.1348	−	0.433621i	−1.13653	−	0.0406124i
$115$	−2.51411	+	23.9202i	−0.234442	+	2.23057i
$116$	−0.227775	+	2.16714i	−0.0211484	+	0.201214i
$117$	−0.721524	−	0.749592i	−0.0667049	−	0.0692998i
$118$	−5.64085	+	1.83282i	−0.519282	+	0.168725i
$119$	13.7781	−	13.6049i	1.26303	−	1.24715i
$120$	−3.85447	+	3.98495i	−0.351864	+	0.363774i
$121$	−9.07565	−	6.21552i	−0.825059	−	0.565047i
$122$	0.0953101	−	0.0550273i	0.00862898	−	0.00498194i
$123$	−3.39653	−	8.42639i	−0.306255	−	0.759782i
$124$	1.06662	+	0.226717i	0.0957851	+	0.0203598i
$125$	0.747634	+	0.242921i	0.0668704	+	0.0217275i
$126$	−3.41151	+	7.16670i	−0.303921	+	0.638461i
$127$	−11.1208	+	15.3064i	−0.986808	+	1.35823i	−0.0537288	+	0.998556i	$0.517111\pi$
$127$	−11.1208	+	15.3064i	−0.986808	+	1.35823i	−0.933080	+	0.359670i	$0.882889\pi$
$128$	0.669131	+	0.743145i	0.0591433	+	0.0656853i
$129$	0.220892	+	3.19619i	0.0194485	+	0.281409i
$130$	1.01412	+	0.451514i	0.0889440	+	0.0396004i
$131$	5.64476	−	9.77700i	0.493185	−	0.854221i	−0.506785	−	0.862073i	$-0.669166\pi$
$131$	5.64476	−	9.77700i	0.493185	−	0.854221i	0.999969	+	0.00785196i	$0.00249938\pi$
$132$	0.125246	−	5.74320i	0.0109012	−	0.499881i
$133$	14.4881	−	11.5813i	1.25628	−	1.00422i
$134$	9.06379	−	6.58523i	0.782992	−	0.568877i
$135$	9.74338	+	13.4795i	0.838576	+	1.16013i
$136$	−7.15861	+	1.52161i	−0.613846	+	0.130477i
$137$	−15.8434	−	1.66520i	−1.35359	−	0.142268i	−0.600204	−	0.799847i	$-0.704914\pi$
$137$	−15.8434	−	1.66520i	−1.35359	−	0.142268i	−0.753385	+	0.657579i	$0.771580\pi$
$138$	4.46130	−	12.2264i	0.379771	−	1.04078i
$139$	−2.90927	−	0.945281i	−0.246761	−	0.0801777i	0.183025	−	0.983108i	$-0.441411\pi$
$139$	−2.90927	−	0.945281i	−0.246761	−	0.0801777i	−0.429786	+	0.902931i	$0.641411\pi$
$140$	0.496707	−	8.45414i	0.0419794	−	0.714505i
$141$	−0.921569	+	6.51890i	−0.0776101	+	0.548990i
$142$	5.04276	+	2.91144i	0.423179	+	0.244323i
$143$	−1.08889	+	0.370628i	−0.0910572	+	0.0309935i
$144$	2.54672	−	1.58562i	0.212227	−	0.132135i
$145$	−6.93674	+	0.729080i	−0.576065	+	0.0605468i
$146$	−3.63410	+	1.18079i	−0.300761	+	0.0977230i
$147$	−3.18472	−	11.6986i	−0.262671	−	0.964885i
$148$	−0.993296	−	0.721672i	−0.0816484	−	0.0593210i
$149$	−3.09258	+	1.37691i	−0.253354	+	0.112801i	−0.529484	−	0.848320i	$-0.677615\pi$
$149$	−3.09258	+	1.37691i	−0.253354	+	0.112801i	0.276130	+	0.961120i	$0.410948\pi$
$150$	−7.70114	−	4.82090i	−0.628796	−	0.393625i
$151$	0.746498	+	0.672150i	0.0607491	+	0.0546988i	0.698946	−	0.715174i	$-0.253653\pi$
$151$	0.746498	+	0.672150i	0.0607491	+	0.0546988i	−0.638197	+	0.769873i	$0.720319\pi$
$152$	−6.97212	+	0.732799i	−0.565513	+	0.0594379i
$153$	0.730613	+	21.9435i	0.0590665	+	1.77402i
$154$	5.57385	+	6.77733i	0.449154	+	0.546133i
$155$			3.49038i			0.280354i
$156$	−0.473050	−	0.370206i	−0.0378743	−	0.0296402i
$157$	−0.0390587	+	0.0433791i	−0.00311723	+	0.00346203i	−0.744701	−	0.667398i	$-0.767408\pi$
$157$	−0.0390587	+	0.0433791i	−0.00311723	+	0.00346203i	0.741584	+	0.670860i	$0.234075\pi$
$158$	1.39359	+	6.55632i	0.110868	+	0.521593i
$159$	−3.54155	+	9.70580i	−0.280863	+	0.769720i
$160$	−1.88143	+	2.58956i	−0.148740	+	0.204723i
$161$	7.00704	+	18.6049i	0.552232	+	1.46627i
$162$	−3.34434	−	8.35556i	−0.262756	−	0.656475i
$163$	−1.00407	−	9.55311i	−0.0786450	−	0.748257i	−0.960790	−	0.277278i	$-0.910568\pi$
$163$	−1.00407	−	9.55311i	−0.0786450	−	0.748257i	0.882145	−	0.470979i	$-0.156099\pi$
$164$	−2.62266	−	4.54259i	−0.204796	−	0.354717i
$165$	18.0649	−	3.42996i	1.40635	−	0.267022i
$166$	−6.11087	+	10.5843i	−0.474296	+	0.821504i
$167$	−10.6721	+	7.75371i	−0.825830	+	0.600000i	−0.918376	−	0.395708i	$-0.870499\pi$
$167$	−10.6721	+	7.75371i	−0.825830	+	0.600000i	0.0925466	+	0.995708i	$0.470499\pi$
$168$	−1.37106	+	4.37266i	−0.105780	+	0.337358i
$169$	3.98005	−	12.2493i	0.306158	−	0.942257i
$170$	−9.52810	−	21.4005i	−0.730772	−	1.64134i
$171$	−1.50115	+	20.9779i	−0.114796	+	1.60422i
$172$	0.384579	+	1.80930i	0.0293239	+	0.137958i
$173$	4.08955	+	0.869261i	0.310923	+	0.0660887i	0.360730	−	0.932670i	$-0.382527\pi$
$173$	4.08955	+	0.869261i	0.310923	+	0.0660887i	−0.0498075	+	0.998759i	$0.515861\pi$
$174$	3.73711	+	0.528311i	0.283310	+	0.0400511i
$175$	13.7211	−	2.08433i	1.03722	−	0.157560i
$176$	−0.392542	−	3.29331i	−0.0295890	−	0.248243i
$177$	2.82361	+	9.87737i	0.212236	+	0.742429i
$178$	−0.502355	+	1.12831i	−0.0376531	+	0.0845703i
$179$	10.1448	+	9.13442i	0.758258	+	0.682739i	0.954631	−	0.297790i	$-0.0962497\pi$
$179$	10.1448	+	9.13442i	0.758258	+	0.682739i	−0.196373	+	0.980529i	$0.562916\pi$
$180$	6.65932	+	6.91837i	0.496356	+	0.515665i
$181$	−18.7407	−	13.6159i	−1.39299	−	1.01206i	−0.995530	−	0.0944427i	$-0.969893\pi$
$181$	−18.7407	−	13.6159i	−1.39299	−	1.01206i	−0.397456	−	0.917621i	$-0.630107\pi$
$182$	0.916597	−	0.0422245i	0.0679427	−	0.00312989i
$183$	−0.0893541	−	0.168380i	−0.00660525	−	0.0124470i
$184$	1.56229	−	7.34997i	0.115173	−	0.541847i
$185$	1.59846	−	3.59021i	0.117521	−	0.263957i
$186$	0.458408	−	1.83224i	0.0336121	−	0.134346i
$187$	22.3096	+	9.56318i	1.63144	+	0.699329i
$188$			3.80111i			0.277225i
$189$	12.1942	+	6.34842i	0.886995	+	0.461779i
$190$	−6.93428	−	21.3415i	−0.503065	−	1.54828i
$191$	−13.6384	+	12.2801i	−0.986839	+	0.888554i	−0.993773	−	0.111422i	$-0.964459\pi$
$191$	−13.6384	+	12.2801i	−0.986839	+	0.888554i	0.00693423	+	0.999976i	$0.497793\pi$
$192$	1.32773	−	1.11226i	0.0958208	−	0.0802707i
$193$	11.4479	+	1.20322i	0.824036	+	0.0866097i	0.507154	−	0.861855i	$-0.330697\pi$
$193$	11.4479	+	1.20322i	0.824036	+	0.0866097i	0.316882	+	0.948465i	$0.397364\pi$
$194$	6.62416	+	7.35687i	0.475587	+	0.528193i
$195$	0.844273	−	1.72746i	0.0604596	−	0.123706i
$196$	−2.76603	−	6.43033i	−0.197573	−	0.459309i
$197$	13.7636			0.980618			0.490309	−	0.871549i	$-0.336884\pi$
$197$	13.7636			0.980618			0.490309	+	0.871549i	$0.336884\pi$
$198$	−9.93342	−	0.572027i	−0.705937	−	0.0406522i
$199$	−11.2114	−	19.4186i	−0.794752	−	1.37655i	−0.922996	−	0.384808i	$-0.874268\pi$
$199$	−11.2114	−	19.4186i	−0.794752	−	1.37655i	0.128244	−	0.991743i	$-0.459066\pi$
$200$	−4.79209	−	2.13357i	−0.338852	−	0.150866i
$201$	−10.8381	−	16.0963i	−0.764458	−	1.13534i
$202$	−2.19673	+	6.76084i	−0.154562	+	0.475691i
$203$	−4.85495	+	3.10935i	−0.340750	+	0.218234i
$204$	2.19104	+	12.4853i	0.153404	+	0.874145i
$205$	12.4771	−	11.2345i	0.871441	−	0.784649i
$206$	−4.83164	+	5.36608i	−0.336637	+	0.373873i
$207$	−20.8873	−	8.47851i	−1.45177	−	0.589297i
$208$	−0.300345	−	0.173404i	−0.0208252	−	0.0120234i
$209$	20.2960	+	11.3443i	1.40390	+	0.784704i
$210$	−14.6029	−	1.38269i	−1.00770	−	0.0954144i
$211$	15.4237	+	21.2289i	1.06181	+	1.46146i	0.878102	+	0.478474i	$0.158810\pi$
$211$	15.4237	+	21.2289i	1.06181	+	1.46146i	0.183708	+	0.982981i	$0.441190\pi$
$212$	−1.24020	+	5.83469i	−0.0851774	+	0.400728i
$213$	5.35146	−	8.54867i	0.366676	−	0.585745i
$214$	−1.55547	+	14.7993i	−0.106330	+	1.01166i
$215$	−5.40886	+	2.40818i	−0.368881	+	0.164236i
$216$	−2.58711	−	4.50631i	−0.176030	−	0.306616i
$217$	1.29350	+	2.57883i	0.0878084	+	0.175063i
$218$	−9.37976	−	12.9101i	−0.635278	−	0.874385i
$219$	1.81911	+	6.36347i	0.122924	+	0.430004i
$220$	10.0499	−	3.42072i	0.677563	−	0.230625i
$221$	2.19809	−	1.26907i	0.147859	−	0.0853666i
$222$	−1.31061	+	1.67470i	−0.0879626	+	0.112399i
$223$	1.06351	+	3.27315i	0.0712179	+	0.219186i	0.980330	−	0.197365i	$-0.0632386\pi$
$223$	1.06351	+	3.27315i	0.0712179	+	0.219186i	−0.909112	+	0.416552i	$0.863239\pi$
$224$	−0.430409	+	2.61051i	−0.0287579	+	0.174422i
$225$	−8.82106	+	13.0321i	−0.588071	+	0.868805i
$226$	4.30709	+	9.67387i	0.286503	+	0.643497i
$227$	18.1882	−	3.86603i	1.20720	−	0.256597i	0.439993	−	0.898001i	$-0.354981\pi$
$227$	18.1882	−	3.86603i	1.20720	−	0.256597i	0.767203	+	0.641404i	$0.221648\pi$
$228$	0.837190	+	12.1137i	0.0554442	+	0.802248i
$229$	0.210429	+	2.00209i	0.0139055	+	0.132302i	0.999272	−	0.0381459i	$-0.0121452\pi$
$229$	0.210429	+	2.00209i	0.0139055	+	0.132302i	−0.985367	+	0.170448i	$0.945479\pi$
$230$	24.0519			1.58594
$231$	12.0759	−	9.22884i	0.794539	−	0.607213i
$232$	2.17908			0.143063
$233$	−1.16626	−	11.0963i	−0.0764045	−	0.726940i	−0.963925	−	0.266173i	$-0.914241\pi$
$233$	−1.16626	−	11.0963i	−0.0764045	−	0.726940i	0.887521	−	0.460767i	$-0.152426\pi$
$234$	−0.670066	+	0.795925i	−0.0438036	+	0.0520312i
$235$	−11.9010	+	2.52964i	−0.776336	+	0.165015i
$236$	2.41241	+	5.41837i	0.157035	+	0.352706i
$237$	11.4348	−	2.00670i	0.742772	−	0.130349i
$238$	−14.9705	−	12.2805i	−0.970395	−	0.796027i
$239$	5.83958	+	17.9724i	0.377731	+	1.16254i	0.941617	+	0.336685i	$0.109306\pi$
$239$	5.83958	+	17.9724i	0.377731	+	1.16254i	−0.563886	+	0.825853i	$0.690694\pi$
$240$	4.36602	+	3.41682i	0.281825	+	0.220555i
$241$	20.1296	−	11.6218i	1.29666	−	0.748629i	0.316837	−	0.948480i	$-0.397379\pi$
$241$	20.1296	−	11.6218i	1.29666	−	0.748629i	0.979826	+	0.199851i	$0.0640458\pi$
$242$	−5.23280	+	9.67563i	−0.336377	+	0.621973i
$243$	−14.6699	+	5.27206i	−0.941073	+	0.338203i
$244$	−0.0646885	−	0.0890361i	−0.00414126	−	0.00569995i
$245$	18.2921	−	12.9396i	1.16864	−	0.826681i
$246$	−8.02520	+	4.25872i	−0.511668	+	0.271526i
$247$	2.22111	−	0.988902i	0.141326	−	0.0629223i
$248$	0.113983	−	1.08447i	0.00723791	−	0.0688641i
$249$	17.9429	+	11.2323i	1.13709	+	0.711816i
$250$	0.163441	−	0.768930i	0.0103369	−	0.0486314i
$251$	15.7226	+	21.6403i	0.992400	+	1.36592i	0.929874	+	0.367878i	$0.119915\pi$
$251$	15.7226	+	21.6403i	0.992400	+	1.36592i	0.0625255	+	0.998043i	$0.480085\pi$
$252$	7.48404	+	2.64369i	0.471450	+	0.166537i
$253$	−18.2866	+	16.9320i	−1.14967	+	1.06450i
$254$	16.3850	+	9.45989i	1.02809	+	0.593566i
$255$	−37.6324	+	15.1689i	−2.35663	+	0.949916i
$256$	0.669131	−	0.743145i	0.0418207	−	0.0464466i
$257$	−4.41774	+	3.97775i	−0.275571	+	0.248125i	−0.795314	−	0.606197i	$-0.792694\pi$
$257$	−4.41774	+	3.97775i	−0.275571	+	0.248125i	0.519743	+	0.854322i	$0.326028\pi$
$258$	3.15559	−	0.553775i	0.196459	−	0.0344765i
$259$	−0.149485	−	3.24496i	−0.00928852	−	0.201632i
$260$	0.343037	−	1.05576i	0.0212742	−	0.0654753i
$261$	1.14563	−	6.43606i	0.0709127	−	0.398382i
$262$	−10.3135	−	4.59186i	−0.637169	−	0.283686i
$263$	−9.09839	−	15.7589i	−0.561031	−	0.971734i	−0.997407	−	0.0719694i	$-0.977072\pi$
$263$	−9.09839	−	15.7589i	−0.561031	−	0.971734i	0.436376	−	0.899764i	$-0.356262\pi$
$264$	−5.72483	+	0.475768i	−0.352339	+	0.0292815i
$265$	−19.0933			−1.17289
$266$	−13.0323	−	13.1982i	−0.799059	−	0.809233i
$267$	1.92197	+	0.939339i	0.117623	+	0.0574866i
$268$	−7.49658	−	8.32580i	−0.457927	−	0.508579i
$269$	2.03144	+	0.213513i	0.123859	+	0.0130181i	0.166255	−	0.986083i	$-0.446833\pi$
$269$	2.03144	+	0.213513i	0.123859	+	0.0130181i	−0.0423962	+	0.999101i	$0.513499\pi$
$270$	12.3872	−	11.0990i	0.753862	−	0.675463i
$271$	12.0678	−	10.8659i	0.733066	−	0.660056i	−0.215547	−	0.976493i	$-0.569153\pi$
$271$	12.0678	−	10.8659i	0.733066	−	0.660056i	0.948613	+	0.316438i	$0.102487\pi$
$272$	2.26155	+	6.96035i	0.137127	+	0.422033i
$273$	−0.0163942	−	1.58919i	−0.000992222	−	0.0961822i
$274$			15.9306i			0.962404i
$275$	8.90762	+	14.9443i	0.537150	+	0.901177i
$276$	−12.6258	−	3.15885i	−0.759983	−	0.190140i
$277$	0.0916738	−	0.205903i	0.00550814	−	0.0123715i	−0.910770	−	0.412913i	$-0.864511\pi$
$277$	0.0916738	−	0.205903i	0.00550814	−	0.0123715i	0.916279	+	0.400542i	$0.131178\pi$
$278$	−0.636000	+	2.99215i	−0.0381448	+	0.179457i
$279$	−3.14315	−	0.906808i	−0.188175	−	0.0542892i
$280$	−8.45974	+	0.389712i	−0.505566	+	0.0232898i
$281$	−3.41644	−	2.48219i	−0.203808	−	0.148075i	0.481200	−	0.876611i	$-0.340201\pi$
$281$	−3.41644	−	2.48219i	−0.203808	−	0.148075i	−0.685008	+	0.728536i	$0.740201\pi$
$282$	6.57952	+	0.235110i	0.391805	+	0.0140006i
$283$	−22.0978	−	19.8969i	−1.31358	−	1.18275i	−0.969856	−	0.243677i	$-0.921646\pi$
$283$	−22.0978	−	19.8969i	−1.31358	−	1.18275i	−0.343720	−	0.939072i	$-0.611687\pi$
$284$	2.36838	−	5.31947i	0.140537	−	0.315652i
$285$	−37.3699	+	10.6828i	−2.21360	+	0.632796i
$286$	0.482417	+	1.04418i	0.0285259	+	0.0617436i
$287$	5.05523	−	12.9244i	0.298401	−	0.762901i
$288$	−1.84314	−	2.36703i	−0.108608	−	0.139478i
$289$	−35.7621	−	7.60147i	−2.10365	−	0.447145i
$290$	1.45017	+	6.82253i	0.0851571	+	0.400633i
$291$	13.1441	−	11.0110i	0.770519	−	0.645477i
$292$	1.55419	+	3.49077i	0.0909521	+	0.204282i
$293$	−3.12179	+	9.60789i	−0.182377	+	0.561299i	−0.999893	−	0.0146066i	$-0.995350\pi$
$293$	−3.12179	+	9.60789i	−0.182377	+	0.561299i	0.817516	+	0.575906i	$0.195350\pi$
$294$	−11.3016	+	4.39011i	−0.659125	+	0.256036i
$295$	−15.3590	+	11.1590i	−0.894238	+	0.649702i
$296$	−0.613891	+	1.06329i	−0.0356817	+	0.0618025i
$297$	−1.60456	+	17.1588i	−0.0931060	+	0.995656i
$298$	1.69263	+	2.93172i	0.0980513	+	0.169830i
$299$	0.272399	+	2.59170i	0.0157532	+	0.149882i
$300$	−3.98951	+	8.16288i	−0.230334	+	0.471284i
$301$	−3.10383	+	3.78372i	−0.178902	+	0.218090i
$302$	0.590437	−	0.812667i	0.0339758	−	0.0467637i
$303$	11.5668	+	4.22060i	0.664494	+	0.242467i
$304$	1.45757	+	6.85733i	0.0835973	+	0.393295i
$305$	0.235715	−	0.261788i	0.0134970	−	0.0149900i
$306$	21.7469	−	3.02033i	1.24319	−	0.172661i
$307$		−	17.8891i		−	1.02098i	−0.859883	−	0.510491i	$-0.829463\pi$
$307$		−	17.8891i		−	1.02098i	0.859883	−	0.510491i	$-0.170537\pi$
$308$	6.15757	−	6.25174i	0.350860	−	0.356226i
$309$	8.98955	+	8.69522i	0.511398	+	0.494654i
$310$	3.47126	−	0.364844i	0.197154	−	0.0207218i
$311$	−13.0736	−	11.7715i	−0.741336	−	0.667502i	0.209285	−	0.977855i	$-0.432886\pi$
$311$	−13.0736	−	11.7715i	−0.741336	−	0.667502i	−0.950622	+	0.310353i	$0.899553\pi$
$312$	−0.318730	+	0.509155i	−0.0180446	+	0.0288252i
$313$	20.4749	−	9.11601i	1.15731	−	0.515267i	0.263917	−	0.964545i	$-0.414985\pi$
$313$	20.4749	−	9.11601i	1.15731	−	0.515267i	0.893392	+	0.449278i	$0.148319\pi$
$314$	0.0472242	+	0.0343104i	0.00266502	+	0.00193625i
$315$	−3.29659	+	25.1914i	−0.185742	+	1.41937i
$316$	6.37473	−	2.07128i	0.358607	−	0.116518i
$317$	−11.7788	+	1.23800i	−0.661564	+	0.0695332i	−0.429359	−	0.903134i	$-0.641261\pi$
$317$	−11.7788	+	1.23800i	−0.661564	+	0.0695332i	−0.232205	+	0.972667i	$0.574594\pi$
$318$	10.0228	+	2.50761i	0.562052	+	0.140620i
$319$	−5.90545	−	4.16626i	−0.330642	−	0.233266i
$320$	2.77204	+	1.60044i	0.154962	+	0.0894671i
$321$	25.5206	+	3.60781i	1.42442	+	0.201368i
$322$	17.7705	−	8.91339i	0.990313	−	0.496724i
$323$	−48.7957	−	15.8547i	−2.71506	−	0.882178i
$324$	−7.96021	+	4.19942i	−0.442234	+	0.233301i
$325$	1.80925	+	0.190160i	0.100359	+	0.0105482i
$326$	−9.39582	+	1.99714i	−0.520386	+	0.110612i
$327$	−22.9269	+	15.4373i	−1.26786	+	0.853686i
$328$	−4.24356	+	3.08313i	−0.234311	+	0.170237i
$329$	−7.85548	+	6.27938i	−0.433086	+	0.346193i
$330$	−5.29946	−	17.6074i	−0.291726	−	0.969255i
$331$	5.81463	−	10.0712i	0.319601	−	0.553566i	−0.660804	−	0.750559i	$-0.729784\pi$
$331$	5.81463	−	10.0712i	0.319601	−	0.553566i	0.980405	+	0.196993i	$0.0631177\pi$
$332$	11.1651	+	4.97103i	0.612765	+	0.272821i
$333$	2.81776	+	2.37219i	0.154412	+	0.129995i
$334$	8.82677	+	9.80313i	0.482980	+	0.536403i
$335$	21.0785	−	29.0121i	1.15164	−	1.58510i
$336$	4.49203	+	0.906482i	0.245060	+	0.0494526i
$337$	5.37493	+	1.74642i	0.292791	+	0.0951337i	0.451730	−	0.892155i	$-0.350807\pi$
$337$	5.37493	+	1.74642i	0.292791	+	0.0951337i	−0.158938	+	0.987288i	$0.550807\pi$
$338$	−12.5983	−	2.67785i	−0.685256	−	0.145656i
$339$	17.0114	−	6.85698i	0.923930	−	0.372420i
$340$	−20.2873	+	11.7129i	−1.10023	+	0.635219i
$341$	−2.38235	+	2.72107i	−0.129011	+	0.147354i
$342$	21.0199	−	0.699863i	1.13663	−	0.0378442i
$343$	8.71965	−	16.3391i	0.470817	−	0.882231i
$344$	1.75919	−	0.571596i	0.0948492	−	0.0308184i
$345$	1.48768	−	41.6326i	0.0800942	−	2.24142i
$346$	0.437025	−	4.15801i	0.0234946	−	0.223536i
$347$	0.703447	−	6.69285i	0.0377630	−	0.359291i	−0.959281	−	0.282454i	$-0.908851\pi$
$347$	0.703447	−	6.69285i	0.0377630	−	0.359291i	0.997044	−	0.0768364i	$-0.0244819\pi$
$348$	0.134782	−	3.77186i	0.00722509	−	0.202193i
$349$	0.797395	−	0.259089i	0.0426836	−	0.0138687i	−0.287597	−	0.957751i	$-0.592856\pi$
$349$	0.797395	−	0.259089i	0.0426836	−	0.0138687i	0.330281	+	0.943883i	$0.392856\pi$
$350$	−3.50716	−	13.4281i	−0.187465	−	0.717761i
$351$	1.33626	+	1.20908i	0.0713242	+	0.0645358i
$352$	−3.23424	+	0.734637i	−0.172386	+	0.0391563i
$353$	−22.8385	+	13.1858i	−1.21557	+	0.701811i	−0.963968	−	0.266019i	$-0.914292\pi$
$353$	−22.8385	+	13.1858i	−1.21557	+	0.701811i	−0.251605	+	0.967830i	$0.580958\pi$
$354$	9.52811	−	3.84061i	0.506414	−	0.204126i
$355$	18.2310	+	3.87512i	0.967602	+	0.205670i
$356$	1.17464	+	0.381663i	0.0622557	+	0.0202281i
$357$	−22.1829	+	25.1536i	−1.17404	+	1.33127i
$358$	8.02396	−	11.0440i	0.424080	−	0.583696i
$359$	6.28209	+	6.97696i	0.331556	+	0.368230i	0.885754	−	0.464155i	$-0.153642\pi$
$359$	6.28209	+	6.97696i	0.331556	+	0.368230i	−0.554198	+	0.832385i	$0.686975\pi$
$360$	6.18438	−	7.34600i	0.325946	−	0.387168i
$361$	−27.5410	−	12.2621i	−1.44953	−	0.645372i
$362$	−11.5824	+	20.0613i	−0.608757	+	1.05440i
$363$	16.4243	+	9.65617i	0.862053	+	0.506817i
$364$	−0.137804	−	0.907162i	−0.00722287	−	0.0475482i
$365$	−9.89503	+	7.18916i	−0.517930	+	0.376298i
$366$	−0.158118	+	0.106465i	−0.00826495	+	0.00556502i
$367$	21.7579	−	4.62479i	1.13575	−	0.241412i	0.398592	−	0.917128i	$-0.369499\pi$
$367$	21.7579	−	4.62479i	1.13575	−	0.241412i	0.737162	+	0.675716i	$0.236166\pi$
$368$	−7.47301	−	0.785445i	−0.389558	−	0.0409442i
$369$	6.87523	+	14.1546i	0.357910	+	0.736859i
$370$	−3.73763	−	1.21443i	−0.194310	−	0.0631351i
$371$	−14.1069	+	7.07579i	−0.732395	+	0.367357i
$372$	−1.87011	−	0.264376i	−0.0969609	−	0.0137072i
$373$	1.91568	+	1.10602i	0.0991902	+	0.0572675i	0.548775	−	0.835970i	$-0.315095\pi$
$373$	1.91568	+	1.10602i	0.0991902	+	0.0572675i	−0.449584	+	0.893238i	$0.648428\pi$
$374$	7.17880	−	23.1870i	0.371207	−	1.19897i
$375$	−1.32087	−	0.330468i	−0.0682093	−	0.0170653i
$376$	3.78029	−	0.397324i	0.194953	−	0.0204904i
$377$	−0.718734	+	0.233531i	−0.0370167	+	0.0120275i
$378$	5.03900	−	12.7910i	0.259178	−	0.657896i
$379$	12.9776	+	9.42879i	0.666615	+	0.484324i	0.868890	−	0.495004i	$-0.164834\pi$
$379$	12.9776	+	9.42879i	0.666615	+	0.484324i	−0.202275	+	0.979329i	$0.564834\pi$
$380$	−20.4998	+	9.12709i	−1.05162	+	0.468210i
$381$	17.3880	−	27.7764i	0.890815	−	1.42303i
$382$	13.6384	+	12.2801i	0.697800	+	0.628302i
$383$	17.0563	−	1.79269i	0.871537	−	0.0916023i	0.341809	−	0.939770i	$-0.388960\pi$
$383$	17.0563	−	1.79269i	0.871537	−	0.0916023i	0.529728	+	0.848167i	$0.322294\pi$
$384$	−1.24496	−	1.20419i	−0.0635314	−	0.0614513i
$385$	23.6716	+	15.1184i	1.20642	+	0.770504i
$386$		−	11.5109i		−	0.585891i
$387$	−0.763372	−	5.49641i	−0.0388044	−	0.279398i
$388$	6.62416	−	7.35687i	0.336291	−	0.373489i
$389$	5.69708	+	26.8026i	0.288853	+	1.35895i	0.848052	+	0.529914i	$0.177776\pi$
$389$	5.69708	+	26.8026i	0.288853	+	1.35895i	−0.559198	+	0.829034i	$0.688891\pi$
$390$	−1.80624	−	0.659080i	−0.0914626	−	0.0333738i
$391$	32.3240	−	44.4901i	1.63469	−	2.24996i
$392$	−6.10597	+	3.42303i	−0.308398	+	0.172889i
$393$	−8.58618	+	17.5681i	−0.433115	+	0.886191i
$394$	−1.43869	−	13.6882i	−0.0724802	−	0.689603i
$395$	10.7274	+	18.5804i	0.539754	+	0.934881i
$396$	0.469431	+	9.93879i	0.0235898	+	0.499443i
$397$	−12.3272	+	21.3513i	−0.618683	+	1.07159i	0.371043	+	0.928616i	$0.379000\pi$
$397$	−12.3272	+	21.3513i	−0.618683	+	1.07159i	−0.989726	+	0.142975i	$0.954333\pi$
$398$	−18.1404	+	13.1797i	−0.909294	+	0.660641i
$399$	−23.6514	+	21.7418i	−1.18405	+	1.08845i
$400$	−1.62098	+	4.98885i	−0.0810489	+	0.249443i
$401$	−13.4144	−	30.1293i	−0.669884	−	1.50458i	−0.853229	−	0.521536i	$-0.825359\pi$
$401$	−13.4144	−	30.1293i	−0.669884	−	1.50458i	0.183345	−	0.983049i	$-0.441307\pi$
$402$	−14.8752	+	12.4612i	−0.741907	+	0.621508i
$403$	0.0786272	+	0.369912i	0.00391670	+	0.0184266i
$404$	6.95343	+	1.47800i	0.345946	+	0.0735331i
$405$	−18.4456	−	22.1281i	−0.916568	−	1.09956i
$406$	3.59980	+	4.50334i	0.178655	+	0.223497i
$407$	3.69663	−	1.70787i	0.183235	−	0.0846558i
$408$	12.1879	−	3.48411i	0.603389	−	0.172489i
$409$	−11.7883	+	26.4769i	−0.582892	+	1.30920i	0.345787	+	0.938313i	$0.387612\pi$
$409$	−11.7883	+	26.4769i	−0.582892	+	1.30920i	−0.928679	+	0.370884i	$0.879055\pi$
$410$	−12.4771	−	11.2345i	−0.616202	−	0.554830i
$411$	27.5750	+	0.985356i	1.36018	+	0.0486040i
$412$	5.84173	+	4.24427i	0.287801	+	0.209100i
$413$	−7.21247	+	13.9366i	−0.354902	+	0.685776i
$414$	−6.24874	+	21.6592i	−0.307109	+	1.06449i
$415$	−8.13356	+	38.2654i	−0.399261	+	1.87837i
$416$	−0.141060	+	0.316825i	−0.00691602	+	0.0155336i
$417$	5.13990	+	1.28596i	0.251702	+	0.0629735i
$418$	9.16068	−	21.3706i	0.448064	−	1.04527i
$419$		−	23.8655i		−	1.16590i	−0.812506	−	0.582952i	$-0.801897\pi$
$419$		−	23.8655i		−	1.16590i	0.812506	−	0.582952i	$-0.198103\pi$
$420$	0.151311	+	14.6675i	0.00738320	+	0.715699i
$421$	−5.71242	−	17.5810i	−0.278406	−	0.856847i	−0.988298	−	0.152536i	$-0.951256\pi$
$421$	−5.71242	−	17.5810i	−0.278406	−	0.856847i	0.709892	−	0.704311i	$-0.248744\pi$
$422$	19.5004	−	17.5582i	0.949263	−	0.854720i
$423$	0.813925	−	11.3742i	0.0395744	−	0.553035i
$424$	5.93236	+	0.623516i	0.288101	+	0.0302806i
$425$	−25.6880	−	28.5294i	−1.24605	−	1.38388i
$426$	−9.06122	−	4.42856i	−0.439017	−	0.214564i
$427$	0.0771399	−	0.280773i	0.00373306	−	0.0135876i
$428$	14.8808			0.719291
$429$	1.83726	−	0.770452i	0.0887036	−	0.0371978i
$430$	2.96036	+	5.12750i	0.142761	+	0.247270i
$431$	−8.66387	−	3.85740i	−0.417324	−	0.185805i	0.187323	−	0.982298i	$-0.440019\pi$
$431$	−8.66387	−	3.85740i	−0.417324	−	0.185805i	−0.604647	+	0.796494i	$0.706686\pi$
$432$	−4.21120	+	3.04397i	−0.202612	+	0.146453i
$433$	−1.63950	+	5.04587i	−0.0787895	+	0.242489i	−0.982691	−	0.185251i	$-0.940690\pi$
$433$	−1.63950	+	5.04587i	−0.0787895	+	0.242489i	0.903902	+	0.427740i	$0.140690\pi$
$434$	2.42950	−	1.55597i	0.116620	−	0.0746892i
$435$	11.8991	−	2.08818i	0.570519	−	0.100120i
$436$	−11.8590	+	10.6779i	−0.567941	+	0.511376i
$437$	35.2487	−	39.1476i	1.68617	−	1.87268i
$438$	6.13846	−	2.47431i	0.293307	−	0.118227i
$439$	−35.1312	−	20.2830i	−1.67672	−	0.968056i	−0.963728	−	0.266887i	$-0.914005\pi$
$439$	−35.1312	−	20.2830i	−1.67672	−	0.968056i	−0.712995	−	0.701169i	$-0.752662\pi$
$440$	−4.45248	−	9.63727i	−0.212264	−	0.459439i
$441$	6.90000	+	19.8341i	0.328571	+	0.944479i
$442$	−1.49188	−	2.05339i	−0.0709613	−	0.0976699i
$443$	4.11953	−	19.3809i	0.195725	−	0.920812i	−0.765155	−	0.643846i	$-0.777338\pi$
$443$	4.11953	−	19.3809i	0.195725	−	0.920812i	0.960880	−	0.276966i	$-0.0893289\pi$
$444$	1.80253	+	1.12838i	0.0855441	+	0.0535505i
$445$	−0.413239	+	3.93170i	−0.0195894	+	0.186381i
$446$	3.14405	−	1.39982i	0.148875	−	0.0662834i
$447$	5.17934	−	2.74851i	0.244974	−	0.130000i
$448$	2.64120	+	0.155179i	0.124785	+	0.00733150i
$449$	−21.0414	−	28.9611i	−0.993007	−	1.36676i	−0.929519	−	0.368774i	$-0.879778\pi$
$449$	−21.0414	−	28.9611i	−0.993007	−	1.36676i	−0.0634877	−	0.997983i	$-0.520222\pi$
$450$	13.8827	+	7.41052i	0.654438	+	0.349335i
$451$	17.3951	−	0.242055i	0.819104	−	0.0113979i
$452$	9.17067	−	5.29469i	0.431352	−	0.249041i
$453$	−1.37016	−	1.07228i	−0.0643759	−	0.0503802i
$454$	−5.74604	−	17.6845i	−0.269675	−	0.829974i
$455$	2.74855	−	1.03517i	0.128854	−	0.0485294i
$456$	11.9598	−	2.09883i	0.560070	−	0.0982866i
$457$	7.05936	+	15.8556i	0.330223	+	0.741693i	1.00000		0.000869771i	$-0.000276857\pi$
$457$	7.05936	+	15.8556i	0.330223	+	0.741693i	−0.669777	+	0.742563i	$0.733610\pi$
$458$	1.96913	−	0.418552i	0.0920114	−	0.0195576i
$459$	−3.88291	−	37.8295i	−0.181239	−	1.76573i
$460$	−2.51411	−	23.9202i	−0.117221	−	1.11528i
$461$	−21.4592			−0.999457			−0.499728	−	0.866182i	$-0.666567\pi$
$461$	−21.4592			−0.999457			−0.499728	+	0.866182i	$0.666567\pi$
$462$	−10.4406	−	11.0451i	−0.485739	−	0.513865i
$463$	−8.82749			−0.410248			−0.205124	−	0.978736i	$-0.565760\pi$
$463$	−8.82749			−0.410248			−0.205124	+	0.978736i	$0.565760\pi$
$464$	−0.227775	−	2.16714i	−0.0105742	−	0.100607i
$465$	−0.416818	−	6.03113i	−0.0193295	−	0.279687i
$466$	−10.9136	+	2.31975i	−0.505561	+	0.107460i
$467$	−8.37593	−	18.8126i	−0.387592	−	0.870545i	−0.996979	−	0.0776725i	$-0.975251\pi$
$467$	−8.37593	−	18.8126i	−0.387592	−	0.870545i	0.609387	−	0.792873i	$-0.291416\pi$
$468$	0.861606	+	0.583198i	0.0398277	+	0.0269583i
$469$	4.82207	−	29.2467i	0.222662	−	1.35049i
$470$	3.75977	+	11.5714i	0.173425	+	0.533748i
$471$	0.0623104	−	0.0796204i	0.00287111	−	0.00366872i
$472$	5.13652	−	2.96557i	0.236427	−	0.136501i
$473$	−5.86039	−	1.81440i	−0.269461	−	0.0834264i
$474$	−3.19097	−	11.1624i	−0.146566	−	0.512707i
$475$	−21.6154	−	29.7511i	−0.991783	−	1.36507i
$476$	−10.6484	+	16.1722i	−0.488068	+	0.741251i
$477$	4.96049	−	17.1939i	0.227125	−	0.787253i
$478$	17.2635	−	7.68622i	0.789616	−	0.351560i
$479$	−3.13898	+	29.8654i	−0.143424	+	1.36458i	0.651857	+	0.758342i	$0.273990\pi$
$479$	−3.13898	+	29.8654i	−0.143424	+	1.36458i	−0.795280	+	0.606242i	$0.792676\pi$
$480$	2.94173	−	4.69926i	0.134271	−	0.214491i
$481$	0.0885298	−	0.416500i	0.00403661	−	0.0189908i
$482$	−13.6623	−	18.8045i	−0.622301	−	0.856523i
$483$	−14.3294	−	31.3111i	−0.652012	−	1.42471i
$484$	10.1696	+	4.19276i	0.462255	+	0.190580i
$485$	27.4422	+	15.8438i	1.24609	+	0.719428i
$486$	6.77660	+	14.0384i	0.307393	+	0.636796i
$487$	2.50287	−	2.77972i	0.113416	−	0.125961i	−0.683763	−	0.729704i	$-0.739658\pi$
$487$	2.50287	−	2.77972i	0.113416	−	0.125961i	0.797179	+	0.603743i	$0.206325\pi$
$488$	−0.0817866	+	0.0736410i	−0.00370230	+	0.00333357i
$489$	2.87579	+	16.3872i	0.130048	+	0.741054i
$490$	−14.7808	−	16.8393i	−0.667727	−	0.760723i
$491$	6.49039	−	19.9754i	0.292907	−	0.901476i	−0.691009	−	0.722846i	$-0.742834\pi$
$491$	6.49039	−	19.9754i	0.292907	−	0.901476i	0.983916	−	0.178630i	$-0.0571665\pi$
$492$	5.07425	+	7.53608i	0.228765	+	0.339753i
$493$	14.5689	+	6.48650i	0.656151	+	0.292137i
$494$	−1.21565	−	2.10557i	−0.0546948	−	0.0947343i
$495$	−30.8052	+	8.08401i	−1.38459	+	0.363349i
$496$	−1.09045			−0.0489625
$497$	14.9059	−	3.89313i	0.668620	−	0.174631i
$498$	9.29518	−	19.0187i	0.416527	−	0.852250i
$499$	15.2981	+	16.9903i	0.684839	+	0.760590i	0.980886	−	0.194583i	$-0.0623353\pi$
$499$	15.2981	+	16.9903i	0.684839	+	0.760590i	−0.296048	+	0.955173i	$0.595669\pi$
$500$	−0.781802	−	0.0821707i	−0.0349633	−	0.00367479i
$501$	17.5146	−	14.6723i	0.782497	−	0.655511i
$502$	19.8783	−	17.8985i	0.887210	−	0.798847i
$503$	7.56056	+	23.2690i	0.337109	+	1.03751i	0.965674	+	0.259757i	$0.0836425\pi$
$503$	7.56056	+	23.2690i	0.337109	+	1.03751i	−0.628565	+	0.777757i	$0.716357\pi$
$504$	1.84692	−	7.71938i	0.0822682	−	0.343849i
$505$			22.7543i			1.01255i
$506$	18.7507	+	16.4166i	0.833569	+	0.729806i
$507$	−5.41445	+	21.6413i	−0.240464	+	0.961124i
$508$	7.69537	−	17.2841i	0.341427	−	0.766857i
$509$	1.60028	−	7.52872i	0.0709312	−	0.333705i	−0.928346	−	0.371717i	$-0.878769\pi$
$509$	1.60028	−	7.52872i	0.0709312	−	0.333705i	0.999277	+	0.0380121i	$0.0121025\pi$
$510$	19.0195	+	35.8407i	0.842198	+	1.58705i
$511$	−4.64662	+	8.97863i	−0.205554	+	0.397191i
$512$	−0.809017	−	0.587785i	−0.0357538	−	0.0259767i
$513$	0.0887192	−	36.4276i	0.00391705	−	1.60832i
$514$	4.41774	+	3.97775i	0.194858	+	0.175451i
$515$	−9.40082	+	21.1146i	−0.414250	+	0.930420i
$516$	−0.880590	−	3.08042i	−0.0387658	−	0.135608i
$517$	−11.0045	−	6.15091i	−0.483978	−	0.270517i
$518$	−3.21156	+	0.487857i	−0.141108	+	0.0214352i
$519$	−7.17026	−	1.01365i	−0.314740	−	0.0444943i
$520$	−1.08583	−	0.230801i	−0.0476169	−	0.0101213i
$521$	5.50931	+	25.9192i	0.241367	+	1.13554i	0.917181	+	0.398471i	$0.130459\pi$
$521$	5.50931	+	25.9192i	0.241367	+	1.13554i	−0.675814	+	0.737072i	$0.736208\pi$
$522$	−6.52055	−	0.466602i	−0.285397	−	0.0204226i
$523$	−2.84477	−	6.38945i	−0.124393	−	0.279391i	0.840605	−	0.541649i	$-0.182200\pi$
$523$	−2.84477	−	6.38945i	−0.124393	−	0.279391i	−0.964998	+	0.262258i	$0.915533\pi$
$524$	−3.48865	+	10.7370i	−0.152402	+	0.469046i
$525$	−23.4602	+	5.24013i	−1.02389	+	0.228698i
$526$	−14.7215	+	10.6958i	−0.641888	+	0.466359i
$527$	3.99024	−	6.91130i	0.173818	−	0.301061i
$528$	1.07157	+	5.64373i	0.0466341	+	0.245612i
$529$	16.7314	+	28.9797i	0.727454	+	1.25999i
$530$	1.99580	+	18.9887i	0.0866919	+	0.824818i
$531$	−6.05855	−	16.7302i	−0.262919	−	0.726029i
$532$	−11.7636	+	14.3405i	−0.510019	+	0.621737i
$533$	1.06925	−	1.47170i	0.0463145	−	0.0637465i
$534$	0.733293	−	2.00963i	0.0317327	−	0.0869651i
$535$	9.90317	+	46.5907i	0.428151	+	2.01429i
$536$	−7.49658	+	8.32580i	−0.323803	+	0.359620i
$537$	−18.6203	−	14.5722i	−0.803526	−	0.628835i
$538$		−	2.04263i		−	0.0880639i
$539$	23.0922	+	2.39762i	0.994653	+	0.103273i
$540$	−12.3330	−	11.1592i	−0.530728	−	0.480216i
$541$	−9.63592	+	1.01278i	−0.414281	+	0.0435426i	−0.309376	−	0.950940i	$-0.600120\pi$
$541$	−9.63592	+	1.01278i	−0.414281	+	0.0435426i	−0.104904	+	0.994482i	$0.533454\pi$
$542$	−12.0678	−	10.8659i	−0.518356	−	0.466730i
$543$	34.0086	+	21.2894i	1.45945	+	0.913614i
$544$	6.68582	−	2.97672i	0.286652	−	0.127626i
$545$	−41.3237	−	30.0234i	−1.77011	−	1.28606i
$546$	−1.57877	+	0.182420i	−0.0675652	+	0.00780686i
$547$	30.5840	−	9.93733i	1.30768	−	0.424890i	0.429430	−	0.903100i	$-0.358714\pi$
$547$	30.5840	−	9.93733i	1.30768	−	0.424890i	0.878245	+	0.478210i	$0.158714\pi$
$548$	15.8434	−	1.66520i	0.676794	−	0.0711340i
$549$	0.174505	+	0.280279i	0.00744771	+	0.0119620i
$550$	13.9314	−	10.4209i	0.594035	−	0.444350i
$551$	13.2298	+	7.63823i	0.563608	+	0.325400i
$552$	−1.82179	+	12.8868i	−0.0775406	+	0.548499i
$553$	14.8115	+	9.75247i	0.629850	+	0.414717i
$554$	−0.214357	−	0.0696489i	−0.00910717	−	0.00295910i
$555$	−2.33329	+	6.39451i	−0.0990428	+	0.271432i
$556$	3.04223	+	0.319752i	0.129019	+	0.0135605i
$557$	−0.113199	+	0.0240611i	−0.00479637	+	0.00101950i	−0.210309	−	0.977635i	$-0.567447\pi$
$557$	−0.113199	+	0.0240611i	−0.00479637	+	0.00101950i	0.205513	+	0.978654i	$0.434114\pi$
$558$	−0.573292	+	3.22072i	−0.0242694	+	0.136344i
$559$	−0.518984	+	0.377064i	−0.0219507	+	0.0159481i
$560$	1.27186	+	8.37266i	0.0537459	+	0.353810i
$561$	−39.6914	−	13.8603i	−1.67577	−	0.585182i
$562$	−2.11148	+	3.65718i	−0.0890672	+	0.154269i
$563$	24.2189	+	10.7829i	1.02070	+	0.454447i	0.847701	−	0.530474i	$-0.177986\pi$
$563$	24.2189	+	10.7829i	1.02070	+	0.454447i	0.173003	+	0.984921i	$0.444653\pi$
$564$	−0.453925	−	6.56805i	−0.0191137	−	0.276565i
$565$	22.6803	+	25.1891i	0.954169	+	1.05971i
$566$	−17.4781	+	24.0565i	−0.734659	+	1.01117i
$567$	−21.8288	−	9.51340i	−0.916722	−	0.399525i
$568$	−5.53789	−	1.79937i	−0.232365	−	0.0754998i
$569$	20.2079	+	4.29532i	0.847158	+	0.180069i	0.610985	−	0.791642i	$-0.290774\pi$
$569$	20.2079	+	4.29532i	0.847158	+	0.180069i	0.236173	+	0.971711i	$0.424107\pi$
$570$	14.5305	+	36.0485i	0.608617	+	1.50991i
$571$	−6.31699	+	3.64712i	−0.264358	+	0.152627i	−0.626321	−	0.779565i	$-0.715440\pi$
$571$	−6.31699	+	3.64712i	−0.264358	+	0.152627i	0.361963	+	0.932192i	$0.382107\pi$
$572$	0.988033	−	0.588921i	0.0413117	−	0.0246240i
$573$	22.0997	−	22.8478i	0.923228	−	0.954479i
$574$	−13.3820	−	3.67657i	−0.558553	−	0.153457i
$575$	37.4871	−	12.1803i	1.56332	−	0.507954i
$576$	−2.16140	+	2.08047i	−0.0900583	+	0.0866862i
$577$	1.22504	−	11.6555i	0.0509992	−	0.485225i	−0.938976	−	0.343983i	$-0.888224\pi$
$577$	1.22504	−	11.6555i	0.0509992	−	0.485225i	0.989975	−	0.141242i	$-0.0451095\pi$
$578$	−3.82167	+	36.3608i	−0.158961	+	1.51241i
$579$	−19.9248	−	0.711985i	−0.828047	−	0.0295891i
$580$	6.63357	−	2.15538i	0.275444	−	0.0894972i
$581$	8.17135	+	31.2862i	0.339005	+	1.29797i
$582$	−12.3246	−	11.9211i	−0.510872	−	0.494146i
$583$	−14.8850	−	13.0321i	−0.616473	−	0.539734i
$584$	3.30919	−	1.91056i	0.136935	−	0.0790596i
$585$	−1.25255	+	3.08574i	−0.0517867	+	0.127580i
$586$	9.88157	+	2.10039i	0.408204	+	0.0867664i
$587$	−12.4049	−	4.03060i	−0.512006	−	0.166361i	0.0416085	−	0.999134i	$-0.486752\pi$
$587$	−12.4049	−	4.03060i	−0.512006	−	0.166361i	−0.553614	+	0.832773i	$0.686752\pi$
$588$	5.54740	+	10.7808i	0.228771	+	0.444594i
$589$	4.49338	−	6.18461i	0.185147	−	0.254833i
$590$	12.7033	+	14.1085i	0.522988	+	0.580837i
$591$	−23.7826	+	1.64364i	−0.978285	+	0.0676103i
$592$	1.12163	+	0.499384i	0.0460989	+	0.0205245i
$593$	6.76636	−	11.7197i	0.277861	−	0.481270i	−0.692992	−	0.720946i	$-0.743708\pi$
$593$	6.76636	−	11.7197i	0.277861	−	0.481270i	0.970853	+	0.239676i	$0.0770411\pi$
$594$	17.2326	−	0.197816i	0.707060	−	0.00811650i
$595$	−57.7204	−	22.5767i	−2.36631	−	0.925556i
$596$	2.73873	−	1.98980i	0.112183	−	0.0815055i
$597$	21.6914	+	32.2152i	0.887769	+	1.31848i
$598$	2.54903	−	0.541814i	0.104238	−	0.0221564i
$599$	15.0296	+	1.57967i	0.614092	+	0.0645437i	0.406468	−	0.913665i	$-0.366760\pi$
$599$	15.0296	+	1.57967i	0.614092	+	0.0645437i	0.207624	+	0.978209i	$0.433427\pi$
$600$	8.53518	+	3.11440i	0.348447	+	0.127145i
$601$	21.8028	+	7.08415i	0.889354	+	0.288969i	0.717836	−	0.696212i	$-0.245133\pi$
$601$	21.8028	+	7.08415i	0.889354	+	0.288969i	0.171518	+	0.985181i	$0.445133\pi$
$602$	4.08743	+	2.69132i	0.166591	+	0.109690i
$603$	20.6496	+	26.5189i	0.840916	+	1.07993i
$604$	−0.869933	−	0.502256i	−0.0353971	−	0.0204365i
$605$	−6.35936	+	34.6306i	−0.258545	+	1.40793i
$606$	2.98842	−	11.9446i	0.121396	−	0.485216i
$607$	−2.97486	+	0.312671i	−0.120746	+	0.0126909i	−0.164709	−	0.986342i	$-0.552668\pi$
$607$	−2.97486	+	0.312671i	−0.120746	+	0.0126909i	0.0439627	+	0.999033i	$0.486002\pi$
$608$	6.66740	−	2.16637i	0.270399	−	0.0878579i
$609$	8.01769	−	5.95252i	0.324893	−	0.241208i
$610$	−0.284993	−	0.207060i	−0.0115390	−	0.00838360i
$611$	−1.20429	+	0.536183i	−0.0487203	+	0.0216917i
$612$	−5.27695	−	21.3120i	−0.213308	−	0.861488i
$613$	−21.5858	−	19.4359i	−0.871841	−	0.785009i	0.105998	−	0.994366i	$-0.466196\pi$
$613$	−21.5858	−	19.4359i	−0.871841	−	0.785009i	−0.977839	+	0.209357i	$0.932863\pi$
$614$	−17.7911	+	1.86992i	−0.717989	+	0.0754637i
$615$	−20.2180	+	20.9024i	−0.815268	+	0.842864i
$616$	−6.86114	−	5.47036i	−0.276443	−	0.220407i
$617$			27.1148i			1.09160i	0.837916	+	0.545800i	$0.183774\pi$
$617$			27.1148i			1.09160i	−0.837916	+	0.545800i	$0.816226\pi$
$618$	7.70792	−	9.84920i	0.310058	−	0.396193i
$619$	−32.8535	+	36.4875i	−1.32049	+	1.46656i	−0.539554	+	0.841951i	$0.681407\pi$
$619$	−32.8535	+	36.4875i	−1.32049	+	1.46656i	−0.780940	+	0.624606i	$0.785260\pi$
$620$	−0.725691	−	3.41411i	−0.0291445	−	0.137114i
$621$	37.1043	+	12.1559i	1.48895	+	0.487800i
$622$	−10.3405	+	14.2324i	−0.414615	+	0.570669i
$623$	1.15173	+	3.05804i	0.0461431	+	0.122518i
$624$	0.539682	+	0.263763i	0.0216046	+	0.0105590i
$625$	2.47855	+	23.5818i	0.0991420	+	0.943273i
$626$	−11.2063	−	19.4098i	−0.447893	−	0.775773i
$627$	−36.4248	−	17.1785i	−1.45467	−	0.686043i
$628$	0.0291862	−	0.0505520i	0.00116466	−	0.00201724i
$629$	−7.26948	+	5.28158i	−0.289853	+	0.210591i
$630$	25.3979	+	0.645316i	1.01188	+	0.0257100i
$631$	5.32433	−	16.3866i	0.211958	−	0.652341i	−0.787397	−	0.616446i	$-0.788572\pi$
$631$	5.32433	−	16.3866i	0.211958	−	0.652341i	0.999356	−	0.0358949i	$-0.0114281\pi$
$632$	−2.72627	−	6.12330i	−0.108445	−	0.243572i
$633$	−29.1861	−	34.8401i	−1.16005	−	1.38477i
$634$	2.46244	+	11.5849i	0.0977961	+	0.460094i
$635$	59.2364	+	12.5911i	2.35073	+	0.499662i
$636$	1.44621	−	10.2300i	0.0573459	−	0.405647i
$637$	1.64711	−	1.78341i	0.0652611	−	0.0706611i
$638$	−3.52615	+	6.30859i	−0.139602	+	0.249760i
$639$	−8.22606	+	15.4106i	−0.325418	+	0.609632i
$640$	1.30191	−	2.92414i	0.0514626	−	0.115587i
$641$	−10.0703	−	9.06731i	−0.397752	−	0.358137i	0.445849	−	0.895108i	$-0.352902\pi$
$641$	−10.0703	−	9.06731i	−0.397752	−	0.358137i	−0.843601	+	0.536971i	$0.819569\pi$
$642$	0.920422	−	25.7579i	0.0363262	−	1.01658i
$643$	8.50492	+	6.17919i	0.335401	+	0.243683i	0.742719	−	0.669603i	$-0.233536\pi$
$643$	8.50492	+	6.17919i	0.335401	+	0.243683i	−0.407318	+	0.913287i	$0.633536\pi$
$644$	−10.7221	−	16.7415i	−0.422509	−	0.659706i
$645$	9.05854	−	4.80708i	0.356680	−	0.189279i
$646$	−10.6673	+	50.1856i	−0.419699	+	1.97453i
$647$	4.09139	−	9.18942i	0.160849	−	0.361273i	−0.815084	−	0.579343i	$-0.803309\pi$
$647$	4.09139	−	9.18942i	0.160849	−	0.361273i	0.975933	+	0.218070i	$0.0699760\pi$
$648$	5.00848	+	7.47764i	0.196752	+	0.293750i
$649$	−19.5903	−	1.78382i	−0.768987	−	0.0700209i
$650$		−	1.81922i		−	0.0713555i
$651$	−2.54304	−	4.30157i	−0.0996694	−	0.168592i
$652$	2.96833	+	9.13559i	0.116249	+	0.357777i
$653$	18.4484	−	16.6110i	0.721941	−	0.650039i	−0.223921	−	0.974607i	$-0.571886\pi$
$653$	18.4484	−	16.6110i	0.721941	−	0.650039i	0.945862	+	0.324569i	$0.105219\pi$
$654$	17.7493	+	21.1877i	0.694052	+	0.828504i
$655$	−35.9383	−	3.77727i	−1.40423	−	0.147590i
$656$	3.50981	+	3.89804i	0.137035	+	0.152193i
$657$	−3.90321	−	10.7784i	−0.152279	−	0.420505i
$658$	7.06610	+	7.15607i	0.275465	+	0.278973i
$659$	4.79076			0.186621			0.0933107	−	0.995637i	$-0.470255\pi$
$659$	4.79076			0.186621			0.0933107	+	0.995637i	$0.470255\pi$
$660$	−16.9570	+	7.11090i	−0.660050	+	0.276792i
$661$	−18.4155	−	31.8966i	−0.716281	−	1.24063i	−0.962464	−	0.271411i	$-0.912510\pi$
$661$	−18.4155	−	31.8966i	−0.716281	−	1.24063i	0.246183	−	0.969223i	$-0.420824\pi$
$662$	−10.6239	−	4.73005i	−0.412908	−	0.183839i
$663$	−3.64659	+	2.45535i	−0.141622	+	0.0953579i
$664$	3.77673	−	11.6236i	0.146565	−	0.451082i
$665$	−52.7276	−	27.2876i	−2.04469	−	1.05817i
$666$	2.06465	−	3.05028i	0.0800037	−	0.118196i
$667$	−12.1682	+	10.9563i	−0.471156	+	0.424230i
$668$	8.82677	−	9.80313i	0.341518	−	0.379294i
$669$	−2.22855	−	5.52876i	−0.0861605	−	0.213754i
$670$	−31.0564	−	17.9304i	−1.19981	−	0.692713i
$671$	0.362444	−	0.0432011i	0.0139920	−	0.00166776i
$672$	0.431971	−	4.56217i	0.0166637	−	0.175990i
$673$	−8.44748	−	11.6270i	−0.325626	−	0.448186i	0.614548	−	0.788879i	$-0.289338\pi$
$673$	−8.44748	−	11.6270i	−0.325626	−	0.448186i	−0.940175	+	0.340693i	$0.889338\pi$
$674$	1.17502	−	5.52804i	0.0452601	−	0.212932i
$675$	13.6859	−	23.5719i	0.526770	−	0.907283i
$676$	−1.34630	+	12.8092i	−0.0517807	+	0.492660i
$677$	8.40774	−	3.74336i	0.323136	−	0.143869i	−0.238757	−	0.971079i	$-0.576740\pi$
$677$	8.40774	−	3.74336i	0.323136	−	0.143869i	0.561893	+	0.827210i	$0.310073\pi$
$678$	−8.59758	−	16.2014i	−0.330188	−	0.622212i
$679$	26.1469	+	1.53621i	1.00343	+	0.0589544i
$680$	13.7693	+	18.9518i	0.528028	+	0.726769i
$681$	−30.9663	+	8.85225i	−1.18663	+	0.339219i
$682$	2.95519	+	2.08487i	0.113160	+	0.0798338i
$683$	−14.8962	+	8.60034i	−0.569988	+	0.329083i	−0.757145	−	0.653247i	$-0.773406\pi$
$683$	−14.8962	+	8.60034i	−0.569988	+	0.329083i	0.187157	+	0.982330i	$0.440073\pi$
$684$	−2.89321	−	20.8316i	−0.110625	−	0.796517i
$685$	15.7574	+	48.4962i	0.602058	+	1.85294i
$686$	−17.1611	−	6.96397i	−0.655214	−	0.265886i
$687$	−0.602694	−	3.43435i	−0.0229942	−	0.131028i
$688$	−0.752350	−	1.68981i	−0.0286831	−	0.0644232i
$689$	−2.02352	+	0.430112i	−0.0770899	+	0.0163860i
$690$	−41.5600	+	2.87226i	−1.58216	+	0.109345i
$691$	−3.04268	−	28.9492i	−0.115749	−	1.10128i	−0.886047	−	0.463595i	$-0.846559\pi$
$691$	−3.04268	−	28.9492i	−0.115749	−	1.10128i	0.770298	−	0.637684i	$-0.220108\pi$
$692$	−4.18091			−0.158935
$693$	−19.7643	+	17.3889i	−0.750783	+	0.660549i
$694$	−6.72971			−0.255456
$695$	1.02349	+	9.73781i	0.0388230	+	0.369376i
$696$	−3.76529	+	0.260223i	−0.142723	+	0.00986373i
$697$	−37.5493	+	7.98135i	−1.42228	+	0.302315i
$698$	−0.341021	−	0.765945i	−0.0129078	−	0.0289914i
$699$	3.34032	+	19.0343i	0.126343	+	0.719942i
$700$	−12.9879	+	4.89156i	−0.490898	+	0.184884i
$701$	−1.46579	−	4.51124i	−0.0553622	−	0.170387i	0.919552	−	0.392968i	$-0.128552\pi$
$701$	−1.46579	−	4.51124i	−0.0553622	−	0.170387i	−0.974914	+	0.222581i	$0.928552\pi$
$702$	1.06278	−	1.45532i	0.0401119	−	0.0549275i
$703$	−7.45422	+	4.30369i	−0.281141	+	0.162317i
$704$	1.06868	+	3.13973i	0.0402775	+	0.118333i
$705$	20.2620	−	5.79224i	0.763111	−	0.218148i
$706$	15.5009	+	21.3351i	0.583383	+	0.802958i
$707$	8.43250	+	16.8118i	0.317137	+	0.632272i
$708$	−4.81553	−	9.07446i	−0.180979	−	0.341039i
$709$	−36.2745	+	16.1505i	−1.36232	+	0.606543i	−0.952196	−	0.305487i	$-0.901181\pi$
$709$	−36.2745	+	16.1505i	−1.36232	+	0.606543i	−0.410122	+	0.912030i	$0.634514\pi$
$710$	1.94823	−	18.5362i	0.0731159	−	0.695651i
$711$	−19.5189	+	4.83297i	−0.732017	+	0.181250i
$712$	0.256789	−	1.20810i	0.00962358	−	0.0452754i
$713$	4.81620	+	6.62893i	0.180368	+	0.248255i
$714$	27.3345	+	19.4321i	1.02297	+	0.727227i
$715$	2.50140	+	2.70153i	0.0935472	+	0.101032i
$716$	−11.8223	−	6.82559i	−0.441819	−	0.255084i
$717$	−12.2366	−	30.3577i	−0.456985	−	1.13373i
$718$	6.28209	−	6.97696i	0.234445	−	0.260378i
$719$	1.57133	−	1.41483i	0.0586008	−	0.0527644i	−0.639310	−	0.768949i	$-0.720780\pi$
$719$	1.57133	−	1.41483i	0.0586008	−	0.0527644i	0.697911	+	0.716185i	$0.254113\pi$
$720$	−7.95220	−	5.38264i	−0.296361	−	0.200599i
$721$	0.879143	+	19.0841i	0.0327410	+	0.710731i
$722$	−9.31606	+	28.6719i	−0.346708	+	1.06706i
$723$	−33.3947	+	22.4856i	−1.24196	+	0.836248i
$724$	21.1621	+	9.42197i	0.786483	+	0.350165i
$725$	5.71527	+	9.89914i	0.212260	+	0.367645i
$726$	7.88646	−	17.3437i	0.292694	−	0.643685i
$727$	−3.15728			−0.117097			−0.0585486	−	0.998285i	$-0.518647\pi$
$727$	−3.15728			−0.117097			−0.0585486	+	0.998285i	$0.518647\pi$
$728$	−0.887788	+	0.231873i	−0.0329036	+	0.00859378i
$729$	24.7189	−	10.8616i	0.915516	−	0.402282i
$730$	8.18409	+	9.08935i	0.302907	+	0.336412i
$731$	13.4631	+	1.41503i	0.497951	+	0.0523368i
$732$	0.122410	+	0.146123i	0.00452440	+	0.00540086i
$733$	−29.0301	+	26.1388i	−1.07225	+	0.965460i	−0.999491	−	0.0318893i	$-0.989848\pi$
$733$	−29.0301	+	26.1388i	−1.07225	+	0.965460i	−0.0727607	+	0.997349i	$0.523181\pi$
$734$	−6.87377	−	21.1553i	−0.253716	−	0.780856i
$735$	−30.0622	+	24.5431i	−1.10886	+	0.905287i
$736$			7.51418i			0.276976i
$737$	36.2347	−	8.23048i	1.33472	−	0.303173i
$738$	13.3584	−	8.31713i	0.491729	−	0.306158i
$739$	−7.04919	+	15.8328i	−0.259309	+	0.582417i	−0.995543	−	0.0943098i	$-0.969936\pi$
$739$	−7.04919	+	15.8328i	−0.259309	+	0.582417i	0.736234	+	0.676727i	$0.236602\pi$
$740$	−0.817087	+	3.84409i	−0.0300367	+	0.141312i
$741$	−3.71983	+	1.97400i	−0.136651	+	0.0725165i
$742$	8.51160	+	13.2900i	0.312471	+	0.487892i
$743$	27.5929	+	20.0474i	1.01229	+	0.735469i	0.964687	−	0.263398i	$-0.0848431\pi$
$743$	27.5929	+	20.0474i	1.01229	+	0.735469i	0.0475989	+	0.998867i	$0.484843\pi$
$744$	−0.0674474	+	1.88750i	−0.00247274	+	0.0691993i
$745$	8.05255	+	7.25055i	0.295023	+	0.265639i
$746$	0.899717	−	2.02080i	0.0329410	−	0.0739866i
$747$	−32.3455	−	17.2658i	−1.18346	−	0.631723i
$748$	−23.8104	−	4.71578i	−0.870593	−	0.172426i
$749$	24.5829	+	30.7531i	0.898239	+	1.12369i
$750$	−0.190590	+	1.34817i	−0.00695936	+	0.0492284i
$751$	21.3815	+	4.54477i	0.780221	+	0.165841i	0.580771	−	0.814067i	$-0.302751\pi$
$751$	21.3815	+	4.54477i	0.780221	+	0.165841i	0.199450	+	0.979908i	$0.436084\pi$
$752$	−0.790295	−	3.71805i	−0.0288191	−	0.135583i
$753$	−29.7517	−	35.5153i	−1.08421	−	1.29425i
$754$	0.307380	+	0.690386i	0.0111941	+	0.0251424i
$755$	0.993587	−	3.05795i	0.0361603	−	0.111290i
$756$	−13.2476	−	3.67438i	−0.481811	−	0.133636i
$757$	−9.32957	+	6.77833i	−0.339089	+	0.246363i	−0.744277	−	0.667871i	$-0.767206\pi$
$757$	−9.32957	+	6.77833i	−0.339089	+	0.246363i	0.405188	+	0.914233i	$0.367206\pi$
$758$	8.02060	−	13.8921i	0.291321	−	0.504584i
$759$	29.5760	−	31.4410i	1.07354	−	1.14124i
$760$	11.2199	+	19.4334i	0.406988	+	0.704925i
$761$	−0.0732676	−	0.697095i	−0.00265595	−	0.0252697i	0.993114	−	0.117155i	$-0.0373774\pi$
$761$	−0.0732676	−	0.697095i	−0.00265595	−	0.0252697i	−0.995770	+	0.0918852i	$0.970711\pi$
$762$	−29.4418	−	14.3893i	−1.06656	−	0.521271i
$763$	−41.6580	−	6.86838i	−1.50812	−	0.248652i
$764$	10.7872	−	14.8473i	0.390267	−	0.537156i
$765$	63.2147	−	30.7049i	2.28553	−	1.11014i
$766$	−3.56574	−	16.7755i	−0.128835	−	0.606123i
$767$	−1.37638	+	1.52863i	−0.0496982	+	0.0551955i
$768$	−1.06746	+	1.36401i	−0.0385188	+	0.0492194i
$769$		−	3.10127i		−	0.111835i	−0.998435	−	0.0559174i	$-0.982192\pi$
$769$		−	3.10127i		−	0.111835i	0.998435	−	0.0559174i	$-0.0178084\pi$
$770$	12.5612	−	25.1222i	0.452674	−	0.905342i
$771$	7.15853	−	7.40084i	0.257808	−	0.266535i
$772$	−11.4479	+	1.20322i	−0.412018	+	0.0433049i
$773$	0.711863	+	0.640964i	0.0256039	+	0.0230539i	0.681833	−	0.731508i	$-0.261183\pi$
$773$	0.711863	+	0.640964i	0.0256039	+	0.0230539i	−0.656229	+	0.754561i	$0.727850\pi$
$774$	−5.38651	+	1.33372i	−0.193614	+	0.0479396i
$775$	5.22552	−	2.32655i	0.187706	−	0.0835721i
$776$	−8.00898	−	5.81887i	−0.287506	−	0.208885i
$777$	0.645809	+	5.58921i	0.0231683	+	0.200512i
$778$	26.0603	−	8.46750i	0.934307	−	0.303575i
$779$	−36.5711	+	3.84377i	−1.31029	+	0.137717i
$780$	−0.466665	+	1.86524i	−0.0167093	+	0.0667863i
$781$	11.5678	+	15.4645i	0.413928	+	0.553364i
$782$	−47.6252	−	27.4964i	−1.70307	−	0.983270i
$783$	−1.21098	+	11.2579i	−0.0432768	+	0.402323i
$784$	4.04252	+	5.71472i	0.144376	+	0.204097i
$785$	0.177698	+	0.0577375i	0.00634231	+	0.00206074i
$786$	18.3693	+	6.70278i	0.655212	+	0.239080i
$787$	15.1421	+	1.59150i	0.539759	+	0.0567309i	0.370486	−	0.928838i	$-0.379191\pi$
$787$	15.1421	+	1.59150i	0.539759	+	0.0567309i	0.169273	+	0.985569i	$0.445858\pi$
$788$	−13.4629	+	2.86162i	−0.479595	+	0.101941i
$789$	17.6033	+	26.1437i	0.626693	+	0.930740i
$790$	17.3573	−	12.6108i	0.617544	−	0.448672i
$791$	26.0919	+	10.2056i	0.927723	+	0.362869i
$792$	9.83528	−	1.50575i	0.349481	−	0.0535044i
$793$	0.0190839	−	0.0330544i	0.000677691	−	0.00117379i
$794$	22.5229	+	10.0278i	0.799307	+	0.355874i
$795$	32.9919	−	2.28011i	1.17010	−	0.0808671i
$796$	15.0037	+	16.6633i	0.531793	+	0.590616i
$797$	22.9804	−	31.6298i	0.814006	−	1.12038i	−0.176687	−	0.984267i	$-0.556538\pi$
$797$	22.9804	−	31.6298i	0.814006	−	1.12038i	0.990693	−	0.136116i	$-0.0434621\pi$
$798$	24.0949	+	21.2492i	0.852951	+	0.752215i
$799$	26.4571	+	8.59642i	0.935983	+	0.304119i
$800$	5.13096	+	1.09062i	0.181407	+	0.0385592i
$801$	−3.43320	−	1.39359i	−0.121306	−	0.0492401i
$802$	−28.5620	+	16.4903i	−1.00856	+	0.582293i
$803$	−12.6210	−	1.14922i	−0.445386	−	0.0405550i
$804$	13.9478	+	13.4912i	0.491902	+	0.475796i
$805$	45.2808	−	44.7115i	1.59594	−	1.57587i
$806$	0.359667	−	0.116863i	0.0126687	−	0.00411632i
$807$	−3.53568	−	0.126342i	−0.124462	−	0.00444746i
$808$	0.743069	−	7.06983i	0.0261411	−	0.248716i
$809$	0.976088	−	9.28686i	0.0343174	−	0.326509i	−0.963872	−	0.266365i	$-0.914177\pi$
$809$	0.976088	−	9.28686i	0.0343174	−	0.326509i	0.998190	−	0.0601438i	$-0.0191559\pi$
$810$	−20.0788	+	20.6575i	−0.705497	+	0.725832i
$811$	−11.4327	+	3.71472i	−0.401457	+	0.130441i	−0.502785	−	0.864412i	$-0.667691\pi$
$811$	−11.4327	+	3.71472i	−0.401457	+	0.130441i	0.101327	+	0.994853i	$0.467691\pi$
$812$	4.10238	−	4.05081i	0.143965	−	0.142155i
$813$	−19.5547	+	20.2166i	−0.685813	+	0.709028i
$814$	−2.08491	−	3.49786i	−0.0730762	−	0.122600i
$815$	−26.6274	+	15.3734i	−0.932719	+	0.538505i
$816$	−4.73900	−	11.7569i	−0.165898	−	0.411574i
$817$	12.6842	+	2.69610i	0.443762	+	0.0943246i
$818$	27.5640	+	8.95610i	0.963754	+	0.313143i
$819$	0.218108	+	2.74405i	0.00762130	+	0.0958849i
$820$	−9.86870	+	13.5831i	−0.344630	+	0.474343i
$821$	0.417810	+	0.464025i	0.0145817	+	0.0161946i	0.750392	−	0.660994i	$-0.229865\pi$
$821$	0.417810	+	0.464025i	0.0145817	+	0.0161946i	−0.735810	+	0.677188i	$0.763198\pi$
$822$	−1.90242	−	27.5270i	−0.0663545	−	0.960114i
$823$	44.6899	+	19.8972i	1.55779	+	0.693574i	0.991437	−	0.130588i	$-0.0416865\pi$
$823$	44.6899	+	19.8972i	1.55779	+	0.693574i	0.566355	+	0.824161i	$0.308353\pi$
$824$	3.61039	−	6.25338i	0.125774	−	0.217847i
$825$	−17.1764	−	24.7590i	−0.598005	−	0.861997i
$826$	14.6142	+	5.71618i	0.508492	+	0.198891i
$827$	14.5018	−	10.5362i	0.504277	−	0.366378i	−0.306372	−	0.951912i	$-0.599115\pi$
$827$	14.5018	−	10.5362i	0.504277	−	0.366378i	0.810648	+	0.585534i	$0.199115\pi$
$828$	22.1937	+	3.95051i	0.771284	+	0.137290i
$829$	−4.76426	+	1.01267i	−0.165470	+	0.0351717i	−0.289901	−	0.957057i	$-0.593623\pi$
$829$	−4.76426	+	1.01267i	−0.165470	+	0.0351717i	0.124432	+	0.992228i	$0.460289\pi$
$830$	38.9060	+	4.08918i	1.35045	+	0.141938i
$831$	−0.133817	+	0.366733i	−0.00464206	+	0.0127218i
$832$	0.329834	+	0.107170i	0.0114349	+	0.00371544i
$833$	−51.0128	+	4.70998i	−1.76749	+	0.163191i
$834$	0.741644	−	5.24617i	0.0256810	−	0.181660i
$835$	36.5671	+	21.1120i	1.26546	+	0.730611i
$836$	−22.2111	−	6.87666i	−0.768187	−	0.237834i
$837$	5.53942	+	1.19155i	0.191471	+	0.0411860i
$838$	−23.7347	+	2.49462i	−0.819903	+	0.0861752i
$839$	19.0746	−	6.19773i	0.658530	−	0.213969i	0.0393585	−	0.999225i	$-0.487469\pi$
$839$	19.0746	−	6.19773i	0.658530	−	0.213969i	0.619171	+	0.785256i	$0.287469\pi$
$840$	14.5713	−	1.68365i	0.502758	−	0.0580914i
$841$	19.6200	+	14.2547i	0.676551	+	0.491543i
$842$	−16.8876	+	7.51885i	−0.581985	+	0.259117i
$843$	6.19979	+	3.88106i	0.213532	+	0.133671i
$844$	−19.5004	−	17.5582i	−0.671230	−	0.604378i
$845$	−41.0005	+	4.30933i	−1.41046	+	0.148245i
$846$	−11.3970	+	0.379466i	−0.391838	+	0.0130463i
$847$	8.13517	+	27.9431i	0.279528	+	0.960138i
$848$		−	5.96504i		−	0.204840i
$849$	40.5595	+	31.7416i	1.39200	+	1.08937i
$850$	−25.6880	+	28.5294i	−0.881090	+	0.978550i
$851$	−1.91814	−	9.02416i	−0.0657531	−	0.309344i
$852$	−3.45715	+	9.47449i	−0.118440	+	0.324591i
$853$	1.37703	−	1.89532i	0.0471486	−	0.0648945i	−0.784792	−	0.619760i	$-0.787230\pi$
$853$	1.37703	−	1.89532i	0.0471486	−	0.0648945i	0.831940	+	0.554865i	$0.187230\pi$
$854$	−0.287299	−	0.0473685i	−0.00983115	−	0.00162092i
$855$	63.2968	−	22.9218i	2.16471	−	0.783911i
$856$	−1.55547	−	14.7993i	−0.0531648	−	0.505829i
$857$	−28.4617	−	49.2970i	−0.972232	−	1.68395i	−0.688783	−	0.724968i	$-0.741855\pi$
$857$	−28.4617	−	49.2970i	−0.972232	−	1.68395i	−0.283449	−	0.958987i	$-0.591479\pi$
$858$	−0.958277	−	1.74666i	−0.0327151	−	0.0596299i
$859$	5.79738	−	10.0414i	0.197804	−	0.342607i	−0.750012	−	0.661424i	$-0.769952\pi$
$859$	5.79738	−	10.0414i	0.197804	−	0.342607i	0.947816	+	0.318817i	$0.103286\pi$
$860$	4.78997	−	3.48012i	0.163337	−	0.118671i
$861$	−7.19166	+	22.9361i	−0.245091	+	0.781659i
$862$	−2.93065	+	9.01962i	−0.0998184	+	0.307209i
$863$	18.3456	+	41.2049i	0.624491	+	1.40263i	0.897671	+	0.440667i	$0.145258\pi$
$863$	18.3456	+	41.2049i	0.624491	+	1.40263i	−0.273179	+	0.961963i	$0.588075\pi$
$864$	3.46749	+	3.86995i	0.117966	+	0.131658i
$865$	−2.78239	−	13.0901i	−0.0946043	−	0.445078i
$866$	5.18961	+	1.10308i	0.176350	+	0.0374843i
$867$	62.7021	+	8.86413i	2.12948	+	0.301042i
$868$	−1.80140	−	2.25355i	−0.0611436	−	0.0764903i
$869$	−4.31901	+	21.8070i	−0.146512	+	0.739753i
$870$	−3.32054	−	11.6157i	−0.112577	−	0.393808i
$871$	1.58036	−	3.54954i	0.0535484	−	0.120272i
$872$	11.8590	+	10.6779i	0.401595	+	0.361598i
$873$	−21.3971	+	20.5959i	−0.724182	+	0.697066i
$874$	−42.6176	−	30.9635i	−1.44156	−	1.04736i
$875$	−1.12171	−	1.75144i	−0.0379207	−	0.0592094i
$876$	−3.10240	−	5.84620i	−0.104820	−	0.197525i
$877$	9.49300	−	44.6611i	0.320556	−	1.50810i	−0.462766	−	0.886480i	$-0.653143\pi$
$877$	9.49300	−	44.6611i	0.320556	−	1.50810i	0.783322	−	0.621616i	$-0.213524\pi$
$878$	−16.4997	+	37.0589i	−0.556838	+	1.25068i
$879$	4.24687	−	16.9746i	0.143243	−	0.572537i
$880$	−9.11906	+	5.43546i	−0.307404	+	0.183229i
$881$		−	16.8915i		−	0.569088i	−0.958663	−	0.284544i	$-0.908158\pi$
$881$		−	16.8915i		−	0.569088i	0.958663	−	0.284544i	$-0.0918421\pi$
$882$	19.0042	−	8.93543i	0.639903	−	0.300871i
$883$	−11.7006	−	36.0106i	−0.393755	−	1.21185i	−0.929927	−	0.367745i	$-0.880130\pi$
$883$	−11.7006	−	36.0106i	−0.393755	−	1.21185i	0.536171	−	0.844109i	$-0.319870\pi$
$884$	−1.88620	+	1.69834i	−0.0634397	+	0.0571214i
$885$	25.2068	−	21.1161i	0.847316	−	0.709811i
$886$	−19.7053	−	2.07111i	−0.662012	−	0.0695803i
$887$	22.3383	+	24.8092i	0.750047	+	0.833012i	0.990480	−	0.137654i	$-0.0439561\pi$
$887$	22.3383	+	24.8092i	0.750047	+	0.833012i	−0.240433	+	0.970666i	$0.577289\pi$
$888$	0.933782	−	1.91060i	0.0313357	−	0.0641155i
$889$	48.4324	−	12.6496i	1.62437	−	0.424254i
$890$	3.95336			0.132517
$891$	0.723475	−	29.8409i	0.0242373	−	0.999706i
$892$	−1.72079	−	2.98050i	−0.0576165	−	0.0997947i
$893$	24.3440	+	10.8386i	0.814639	+	0.362701i
$894$	−3.27484	−	4.86367i	−0.109527	−	0.162665i
$895$	13.5027	−	41.5571i	0.451346	−	1.38910i
$896$	−0.121752	−	2.64295i	−0.00406744	−	0.0882947i
$897$	−0.780185	−	4.44575i	−0.0260496	−	0.148439i
$898$	−26.6030	+	23.9534i	−0.887753	+	0.799336i
$899$	−1.58997	+	1.76584i	−0.0530283	+	0.0588939i
$900$	5.91878	−	14.5813i	0.197293	−	0.486043i
$901$	37.8067	+	21.8277i	1.25952	+	0.727186i
$902$	−2.05901	−	17.2745i	−0.0685576	−	0.575178i
$903$	4.91135	−	6.90866i	0.163440	−	0.229906i
$904$	−6.22428	−	8.56698i	−0.207016	−	0.284934i
$905$	−15.4162	+	72.5273i	−0.512450	+	2.41089i
$906$	−0.923186	+	1.47474i	−0.0306708	+	0.0489950i
$907$	0.0737341	−	0.701533i	0.00244830	−	0.0232940i	−0.993230	−	0.116168i	$-0.962939\pi$
$907$	0.0737341	−	0.701533i	0.00244830	−	0.0232940i	0.995678	+	0.0928743i	$0.0296055\pi$
$908$	−16.9870	+	7.56310i	−0.563733	+	0.250990i
$909$	−20.4906	−	5.91161i	−0.679630	−	0.196076i
$910$	−1.31680	−	2.62529i	−0.0436515	−	0.0870274i
$911$	−32.5498	−	44.8009i	−1.07842	−	1.48432i	−0.861246	−	0.508187i	$-0.830316\pi$
$911$	−32.5498	−	44.8009i	−1.07842	−	1.48432i	−0.217175	−	0.976133i	$-0.569684\pi$
$912$	−3.33747	−	11.6749i	−0.110515	−	0.386595i
$913$	−32.4588	+	24.2798i	−1.07423	+	0.803544i
$914$	15.0308	−	8.67805i	0.497175	−	0.287044i
$915$	−0.376037	+	0.480501i	−0.0124314	+	0.0158849i
$916$	−0.622089	−	1.91459i	−0.0205544	−	0.0632599i
$917$	−27.9525	+	10.5276i	−0.923073	+	0.347651i
$918$	−37.2164	+	7.81590i	−1.22832	+	0.257963i
$919$	10.8432	+	24.3542i	0.357684	+	0.803370i	0.999338	+	0.0363767i	$0.0115816\pi$
$919$	10.8432	+	24.3542i	0.357684	+	0.803370i	−0.641655	+	0.766994i	$0.721752\pi$
$920$	−23.5263	+	5.00068i	−0.775640	+	0.164867i
$921$	2.13629	+	30.9110i	0.0703933	+	1.01855i
$922$	2.24310	+	21.3417i	0.0738726	+	0.702851i
$923$	2.01942			0.0664701
$924$	−9.89327	+	11.5379i	−0.325465	+	0.379569i
$925$	−6.44044			−0.211760
$926$	0.922724	+	8.77913i	0.0303226	+	0.288500i
$927$	−16.5717	−	13.9512i	−0.544285	−	0.458218i
$928$	−2.13146	+	0.453055i	−0.0699685	+	0.0148723i
$929$	−15.6942	−	35.2497i	−0.514910	−	1.15651i	−0.964695	−	0.263370i	$-0.915166\pi$
$929$	−15.6942	−	35.2497i	−0.514910	−	1.15651i	0.449785	−	0.893137i	$-0.351501\pi$
$930$	−5.95453	+	1.04496i	−0.195257	+	0.0342656i
$931$	−49.0697	−	0.620840i	−1.60820	−	0.0203472i
$932$	3.44782	+	10.6113i	0.112937	+	0.347585i
$933$	23.9960	+	18.7791i	0.785594	+	0.614801i
$934$	−17.8341	+	10.2965i	−0.583548	+	0.336912i
$935$	−1.08102	−	77.6868i	−0.0353532	−	2.54063i
$936$	0.489941	−	0.917847i	0.0160142	−	0.0300008i
$937$	−10.4302	−	14.3560i	−0.340740	−	0.468989i	0.603917	−	0.797047i	$-0.293606\pi$
$937$	−10.4302	−	14.3560i	−0.340740	−	0.468989i	−0.944657	+	0.328058i	$0.893606\pi$
$938$	−29.5906	−	1.73854i	−0.966166	−	0.0567652i
$939$	−34.2905	+	18.1969i	−1.11903	+	0.593834i
$940$	11.1150	−	4.94871i	0.362531	−	0.161409i
$941$	4.36807	−	41.5594i	0.142395	−	1.35480i	−0.656954	−	0.753931i	$-0.728155\pi$
$941$	4.36807	−	41.5594i	0.142395	−	1.35480i	0.799349	−	0.600867i	$-0.205178\pi$
$942$	−0.0856975	−	0.0536465i	−0.00279217	−	0.00174790i
$943$	8.19470	−	38.5530i	0.266856	−	1.25546i
$944$	−3.48624	−	4.79839i	−0.113467	−	0.156174i
$945$	2.68794	−	43.9226i	0.0874388	−	1.42880i
$946$	−1.19189	+	6.01794i	−0.0387516	+	0.195660i
$947$	−2.93327	−	1.69353i	−0.0953185	−	0.0550322i	0.451583	−	0.892229i	$-0.350859\pi$
$947$	−2.93327	−	1.69353i	−0.0953185	−	0.0550322i	−0.546902	+	0.837197i	$0.684193\pi$
$948$	−10.7677	+	4.34028i	−0.349720	+	0.140966i
$949$	−0.886730	+	0.984814i	−0.0287845	+	0.0319684i
$950$	−27.3287	+	24.6068i	−0.886659	+	0.798351i
$951$	20.2051	−	3.54580i	0.655196	−	0.114980i
$952$	17.1966	+	8.89960i	0.557346	+	0.288438i
$953$	−3.55178	+	10.9313i	−0.115053	+	0.354098i	−0.991958	−	0.126566i	$-0.959604\pi$
$953$	−3.55178	+	10.9313i	−0.115053	+	0.354098i	0.876905	+	0.480664i	$0.159604\pi$
$954$	−17.6182	−	3.13606i	−0.570410	−	0.101534i
$955$	53.6646	+	23.8930i	1.73655	+	0.773160i
$956$	−9.44865	−	16.3655i	−0.305591	−	0.529299i
$957$	10.7017	+	6.49379i	0.345938	+	0.209914i
$958$	30.0299			0.970221
$959$	29.6143	+	29.9914i	0.956297	+	0.968473i
$960$	−4.98101	−	2.43441i	−0.160761	−	0.0785702i
$961$	−19.9474	−	22.1538i	−0.643465	−	0.714640i
$962$	−0.423472	−	0.0445087i	−0.0136533	−	0.00143502i
$963$	−44.5286	−	3.18640i	−1.43491	−	0.102680i
$964$	−17.2734	+	15.5531i	−0.556340	+	0.500931i
$965$	−11.3857	−	35.0417i	−0.366520	−	1.12803i
$966$	−29.6418	+	17.5238i	−0.953709	+	0.563821i
$967$		−	44.2037i		−	1.42149i	−0.703448	−	0.710747i	$-0.748357\pi$
$967$		−	44.2037i		−	1.42149i	0.703448	−	0.710747i	$-0.251643\pi$
$968$	3.10678	−	10.5522i	0.0998556	−	0.339159i
$969$	86.2088	+	21.5686i	2.76943	+	0.692884i
$970$	12.8885	−	28.9480i	0.413824	−	0.929464i
$971$	−6.19444	+	29.1425i	−0.198789	+	0.935228i	0.759739	+	0.650229i	$0.225327\pi$
$971$	−6.19444	+	29.1425i	−0.198789	+	0.935228i	−0.958528	+	0.285000i	$0.908006\pi$
$972$	13.2532	−	8.20689i	0.425096	−	0.263236i
$973$	4.36492	+	6.81539i	0.139933	+	0.218491i
$974$	−3.02612	−	2.19860i	−0.0969630	−	0.0704478i
$975$	−3.14896	−	0.112524i	−0.100848	−	0.00360365i
$976$	0.0817866	+	0.0736410i	0.00261792	+	0.00235719i
$977$	−14.4435	+	32.4406i	−0.462088	+	1.03787i	0.520802	+	0.853677i	$0.325633\pi$
$977$	−14.4435	+	32.4406i	−0.462088	+	1.03787i	−0.982891	+	0.184190i	$0.941034\pi$
$978$	15.9968	−	4.57296i	0.511522	−	0.146227i
$979$	−3.00573	+	2.78306i	−0.0960635	+	0.0889471i
$980$	−15.2021	+	16.4600i	−0.485612	+	0.525795i
$981$	37.7726	−	29.4125i	1.20599	−	0.939070i
$982$	−20.5444	−	4.36684i	−0.655597	−	0.139352i
$983$	−6.94411	−	32.6695i	−0.221483	−	1.04199i	−0.938591	−	0.345032i	$-0.887868\pi$
$983$	−6.94411	−	32.6695i	−0.221483	−	1.04199i	0.717108	−	0.696962i	$-0.245465\pi$
$984$	6.96439	−	5.83419i	0.222017	−	0.185987i
$985$	−17.9190	−	40.2468i	−0.570948	−	1.28237i
$986$	4.92810	−	15.1671i	0.156943	−	0.483020i
$987$	12.8238	−	11.7884i	0.408187	−	0.375229i
$988$	−1.96697	+	1.42909i	−0.0625776	+	0.0454653i
$989$	−6.94957	+	12.0370i	−0.220984	+	0.382755i
$990$	11.2598	+	29.7915i	0.357858	+	0.946835i
$991$	7.29221	+	12.6305i	0.231645	+	0.401220i	0.958292	−	0.285790i	$-0.0922560\pi$
$991$	7.29221	+	12.6305i	0.231645	+	0.401220i	−0.726648	+	0.687010i	$0.758923\pi$
$992$	0.113983	+	1.08447i	0.00361896	+	0.0344321i
$993$	−8.84458	+	18.0968i	−0.280674	+	0.574284i
$994$	−5.42989	−	14.4173i	−0.172226	−	0.457288i
$995$	−42.1867	+	58.0650i	−1.33741	+	1.84078i
$996$	−19.8862	−	7.25626i	−0.630117	−	0.229923i
$997$	−3.66956	−	17.2639i	−0.116216	−	0.546754i	−0.997277	−	0.0737505i	$-0.976503\pi$
$997$	−3.66956	−	17.2639i	−0.116216	−	0.546754i	0.881061	−	0.473003i	$-0.156830\pi$
$998$	15.2981	−	16.9903i	0.484254	−	0.537819i
$999$	−5.15217	−	3.76247i	−0.163007	−	0.119039i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.bc.b.107.1	yes	128
3.2	odd	2		462.2.bc.a.107.8	yes	128
7.4	even	3	inner	462.2.bc.b.305.11	yes	128
11.7	odd	10		462.2.bc.a.359.13	yes	128
21.11	odd	6		462.2.bc.a.305.13	yes	128
33.29	even	10	inner	462.2.bc.b.359.11	yes	128
77.18	odd	30		462.2.bc.a.95.8	✓	128
231.95	even	30	inner	462.2.bc.b.95.1	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.bc.a.95.8	✓	128	77.18	odd	30
462.2.bc.a.107.8	yes	128	3.2	odd	2
462.2.bc.a.305.13	yes	128	21.11	odd	6
462.2.bc.a.359.13	yes	128	11.7	odd	10
462.2.bc.b.95.1	yes	128	231.95	even	30	inner
462.2.bc.b.107.1	yes	128	1.1	even	1	trivial
462.2.bc.b.305.11	yes	128	7.4	even	3	inner
462.2.bc.b.359.11	yes	128	33.29	even	10	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.bc (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.104528 - 0.994522i) q^{2} +(-1.72793 + 0.119419i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.30191 - 2.92414i) q^{5} +(0.299383 + 1.70598i) q^{6} +(-2.04556 - 1.67800i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.97148 - 0.412695i) q^{9} +O(q^{10})\)	\(q+(-0.104528 - 0.994522i) q^{2} +(-1.72793 + 0.119419i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.30191 - 2.92414i) q^{5} +(0.299383 + 1.70598i) q^{6} +(-2.04556 - 1.67800i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.97148 - 0.412695i) q^{9} +(-2.77204 + 1.60044i) q^{10} +(0.980906 - 3.16825i) q^{11} +(1.66534 - 0.476066i) q^{12} +(-0.203849 - 0.280574i) q^{13} +(-1.45499 + 2.20975i) q^{14} +(2.59881 + 4.89724i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.764996 + 7.27845i) q^{17} +(-0.721038 - 2.91206i) q^{18} +(-1.45757 + 6.85733i) q^{19} +(1.88143 + 2.58956i) q^{20} +(3.73497 + 2.65518i) q^{21} +(-3.25343 - 0.644360i) q^{22} +(-6.50747 - 3.75709i) q^{23} +(-0.647534 - 1.60646i) q^{24} +(-3.50999 + 3.89823i) q^{25} +(-0.257729 + 0.232060i) q^{26} +(-5.08522 + 1.06796i) q^{27} +(2.34974 + 1.21603i) q^{28} +(0.673371 - 2.07242i) q^{29} +(4.59876 - 3.09648i) q^{30} +(-0.996173 - 0.443525i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.31659 + 5.59165i) q^{33} +7.31854 q^{34} +(-2.24357 + 8.16612i) q^{35} +(-2.82074 + 1.02148i) q^{36} +(0.821546 + 0.912419i) q^{37} +(6.97212 + 0.732799i) q^{38} +(0.385742 + 0.460468i) q^{39} +(2.37871 - 2.14180i) q^{40} +(1.62090 + 4.98861i) q^{41} +(2.25023 - 3.99205i) q^{42} -1.84972i q^{43} +(-0.300754 + 3.30296i) q^{44} +(-5.07538 - 8.15174i) q^{45} +(-3.05629 + 6.86454i) q^{46} +(0.790295 - 3.71805i) q^{47} +(-1.52997 + 0.811907i) q^{48} +(1.36864 + 6.86490i) q^{49} +(4.24377 + 3.08328i) q^{50} +(0.452673 - 12.6680i) q^{51} +(0.257729 + 0.232060i) q^{52} +(2.42620 - 5.44933i) q^{53} +(1.59366 + 4.94573i) q^{54} +(-10.5415 + 1.25648i) q^{55} +(0.963758 - 2.46397i) q^{56} +(1.69968 - 12.0230i) q^{57} +(-2.13146 - 0.453055i) q^{58} +(-1.23315 - 5.80153i) q^{59} +(-3.56021 - 4.24990i) q^{60} +(0.0447633 + 0.100540i) q^{61} +(-0.336967 + 1.03708i) q^{62} +(-6.77084 - 4.14194i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-0.555045 + 0.961366i) q^{65} +(5.69864 + 0.724887i) q^{66} +(5.60173 + 9.70248i) q^{67} +(-0.764996 - 7.27845i) q^{68} +(11.6931 + 5.71487i) q^{69} +(8.35590 + 1.37768i) q^{70} +(-3.42260 + 4.71081i) q^{71} +(1.31073 + 2.69851i) q^{72} +(-0.794456 - 3.73762i) q^{73} +(0.821546 - 0.912419i) q^{74} +(5.59948 - 7.15503i) q^{75} -7.01052i q^{76} +(-7.32283 + 4.83490i) q^{77} +(0.417625 - 0.431761i) q^{78} +(-6.66607 + 0.700632i) q^{79} +(-2.37871 - 2.14180i) q^{80} +(8.65937 - 2.45263i) q^{81} +(4.79185 - 2.13347i) q^{82} +(-9.88760 - 7.18376i) q^{83} +(-4.20540 - 1.82062i) q^{84} +(22.2792 - 7.23895i) q^{85} +(-1.83959 + 0.193349i) q^{86} +(-0.916051 + 3.66142i) q^{87} +(3.31630 - 0.0461467i) q^{88} +(-1.06962 - 0.617544i) q^{89} +(-7.57656 + 5.89967i) q^{90} +(-0.0538172 + 0.915989i) q^{91} +(7.14641 + 2.32201i) q^{92} +(1.77428 + 0.647417i) q^{93} +(-3.78029 - 0.397324i) q^{94} +(21.9494 - 4.66550i) q^{95} +(0.967384 + 1.43672i) q^{96} +(-8.00898 + 5.81887i) q^{97} +(6.68423 - 2.07872i) q^{98} +(1.60722 - 9.81921i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

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