LMFDB - Embedded newform 429.2.bj.a.73.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.13
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.a.382.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.19389 - 0.347478i) q^{2} +(0.309017 - 0.951057i) q^{3} +(2.79029 - 0.906622i) q^{4} +(1.48353 + 0.234969i) q^{5} +(0.347478 - 2.19389i) q^{6} +(0.326561 - 0.640911i) q^{7} +(1.84829 - 0.941752i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(2.19389 - 0.347478i) q^{2} +(0.309017 - 0.951057i) q^{3} +(2.79029 - 0.906622i) q^{4} +(1.48353 + 0.234969i) q^{5} +(0.347478 - 2.19389i) q^{6} +(0.326561 - 0.640911i) q^{7} +(1.84829 - 0.941752i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.33636 q^{10} +(-3.24821 - 0.670180i) q^{11} -2.93389i q^{12} +(1.48064 + 3.28751i) q^{13} +(0.493735 - 1.51956i) q^{14} +(0.681906 - 1.33832i) q^{15} +(-1.01942 + 0.740652i) q^{16} +(0.944913 - 0.686520i) q^{17} +(-1.97914 - 1.00842i) q^{18} +(-0.0600208 - 0.117797i) q^{19} +(4.35253 - 0.689372i) q^{20} +(-0.508630 - 0.508630i) q^{21} +(-7.35908 - 0.341619i) q^{22} +1.09725i q^{23} +(-0.324506 - 2.04885i) q^{24} +(-2.60962 - 0.847916i) q^{25} +(4.39070 + 6.69793i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(0.330136 - 2.08440i) q^{28} +(0.164139 - 0.0533318i) q^{29} +(1.03099 - 3.17306i) q^{30} +(-0.0164090 - 0.103602i) q^{31} +(-4.91276 + 4.91276i) q^{32} +(-1.64113 + 2.88213i) q^{33} +(1.83448 - 1.83448i) q^{34} +(0.635058 - 0.874083i) q^{35} +(-2.79029 - 0.906622i) q^{36} +(0.293059 + 0.149321i) q^{37} +(-0.172611 - 0.237579i) q^{38} +(3.58415 - 0.392281i) q^{39} +(2.96329 - 0.962831i) q^{40} +(2.37963 + 4.67030i) q^{41} +(-1.29262 - 0.939140i) q^{42} +1.90405 q^{43} +(-9.67106 + 1.07490i) q^{44} +(-1.06209 - 1.06209i) q^{45} +(0.381271 + 2.40725i) q^{46} +(-5.39619 - 10.5906i) q^{47} +(0.389384 + 1.19840i) q^{48} +(3.81037 + 5.24453i) q^{49} +(-6.01984 - 0.953450i) q^{50} +(-0.360925 - 1.11081i) q^{51} +(7.11196 + 7.83072i) q^{52} +(2.37506 + 1.72558i) q^{53} +(-1.57065 + 1.57065i) q^{54} +(-4.66136 - 1.75746i) q^{55} -1.49213i q^{56} +(-0.130580 + 0.0206818i) q^{57} +(0.341570 - 0.174039i) q^{58} +(0.715539 + 0.364585i) q^{59} +(0.689372 - 4.35253i) q^{60} +(-2.76647 - 3.80772i) q^{61} +(-0.0719990 - 0.221590i) q^{62} +(-0.640911 + 0.326561i) q^{63} +(-7.58967 + 10.4463i) q^{64} +(1.42413 + 5.22503i) q^{65} +(-2.59898 + 6.89334i) q^{66} +(3.59696 + 3.59696i) q^{67} +(2.01417 - 2.77227i) q^{68} +(1.04355 + 0.339070i) q^{69} +(1.08952 - 2.13831i) q^{70} +(-5.39881 - 0.855088i) q^{71} +(-2.04885 - 0.324506i) q^{72} +(3.56823 - 7.00305i) q^{73} +(0.694824 + 0.225762i) q^{74} +(-1.61283 + 2.21987i) q^{75} +(-0.274274 - 0.274274i) q^{76} +(-1.49026 + 1.86296i) q^{77} +(7.72691 - 2.10603i) q^{78} +(-3.12472 + 4.30081i) q^{79} +(-1.68638 + 0.859251i) q^{80} +(0.309017 + 0.951057i) q^{81} +(6.84348 + 9.41924i) q^{82} +(1.88439 - 11.8976i) q^{83} +(-1.88036 - 0.958093i) q^{84} +(1.56312 - 0.796450i) q^{85} +(4.17727 - 0.661614i) q^{86} -0.172585i q^{87} +(-6.63479 + 1.82032i) q^{88} +(-11.4182 + 11.4182i) q^{89} +(-2.69917 - 1.96106i) q^{90} +(2.59052 + 0.124608i) q^{91} +(0.994793 + 3.06166i) q^{92} +(-0.103602 - 0.0164090i) q^{93} +(-15.5187 - 21.3596i) q^{94} +(-0.0613642 - 0.188860i) q^{95} +(3.15419 + 6.19044i) q^{96} +(2.89154 + 18.2565i) q^{97} +(10.1819 + 10.1819i) q^{98} +(2.23393 + 2.45144i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	2.19389	−	0.347478i	1.55131	−	0.245704i	0.678811	−	0.734313i	$-0.262496\pi$
$2$	2.19389	−	0.347478i	1.55131	−	0.245704i	0.872503	+	0.488609i	$0.162496\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	2.79029	−	0.906622i	1.39515	−	0.453311i
$5$	1.48353	+	0.234969i	0.663457	+	0.105081i	0.479076	−	0.877774i	$-0.340972\pi$
$5$	1.48353	+	0.234969i	0.663457	+	0.105081i	0.184381	+	0.982855i	$0.440972\pi$
$6$	0.347478	−	2.19389i	0.141857	−	0.895651i
$7$	0.326561	−	0.640911i	0.123428	−	0.242242i	−0.821022	−	0.570897i	$-0.806595\pi$
$7$	0.326561	−	0.640911i	0.123428	−	0.242242i	0.944450	+	0.328655i	$0.106595\pi$
$8$	1.84829	−	0.941752i	0.653470	−	0.332960i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	3.33636			1.05505
$11$	−3.24821	−	0.670180i	−0.979372	−	0.202067i
$11$	−3.24821	−	0.670180i	−0.979372	−	0.202067i
$12$		−	2.93389i		−	0.846941i
$13$	1.48064	+	3.28751i	0.410657	+	0.911790i
$13$	1.48064	+	3.28751i	0.410657	+	0.911790i
$14$	0.493735	−	1.51956i	0.131956	−	0.406120i
$15$	0.681906	−	1.33832i	0.176067	−	0.345552i
$16$	−1.01942	+	0.740652i	−0.254855	+	0.185163i
$17$	0.944913	−	0.686520i	0.229175	−	0.166505i	−0.467272	−	0.884114i	$-0.654763\pi$
$17$	0.944913	−	0.686520i	0.229175	−	0.166505i	0.696447	+	0.717608i	$0.254763\pi$
$18$	−1.97914	−	1.00842i	−0.466487	−	0.237687i
$19$	−0.0600208	−	0.117797i	−0.0137697	−	0.0270246i	0.884019	−	0.467451i	$-0.154827\pi$
$19$	−0.0600208	−	0.117797i	−0.0137697	−	0.0270246i	−0.897789	+	0.440426i	$0.854827\pi$
$20$	4.35253	−	0.689372i	0.973254	−	0.154148i
$21$	−0.508630	−	0.508630i	−0.110992	−	0.110992i
$22$	−7.35908	−	0.341619i	−1.56896	−	0.0728335i
$23$			1.09725i			0.228793i	0.993435	+	0.114396i	$0.0364934\pi$
$23$			1.09725i			0.228793i	−0.993435	+	0.114396i	$0.963507\pi$
$24$	−0.324506	−	2.04885i	−0.0662395	−	0.418220i
$25$	−2.60962	−	0.847916i	−0.521924	−	0.169583i
$26$	4.39070	+	6.69793i	0.861088	+	1.31357i
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	0.330136	−	2.08440i	0.0623899	−	0.393914i
$29$	0.164139	−	0.0533318i	0.0304798	−	0.00990347i	−0.293737	−	0.955886i	$-0.594899\pi$
$29$	0.164139	−	0.0533318i	0.0304798	−	0.00990347i	0.324217	+	0.945983i	$0.394899\pi$
$30$	1.03099	−	3.17306i	0.188232	−	0.579320i
$31$	−0.0164090	−	0.103602i	−0.00294714	−	0.0186075i	0.986171	−	0.165731i	$-0.0529984\pi$
$31$	−0.0164090	−	0.103602i	−0.00294714	−	0.0186075i	−0.989118	+	0.147124i	$0.952998\pi$
$32$	−4.91276	+	4.91276i	−0.868462	+	0.868462i
$33$	−1.64113	+	2.88213i	−0.285684	+	0.501715i
$34$	1.83448	−	1.83448i	0.314611	−	0.314611i
$35$	0.635058	−	0.874083i	0.107344	−	0.147747i
$36$	−2.79029	−	0.906622i	−0.465049	−	0.151104i
$37$	0.293059	+	0.149321i	0.0481786	+	0.0245482i	0.477914	−	0.878407i	$-0.341393\pi$
$37$	0.293059	+	0.149321i	0.0481786	+	0.0245482i	−0.429735	+	0.902955i	$0.641393\pi$
$38$	−0.172611	−	0.237579i	−0.0280012	−	0.0385404i
$39$	3.58415	−	0.392281i	0.573923	−	0.0628153i
$40$	2.96329	−	0.962831i	0.468537	−	0.152237i
$41$	2.37963	+	4.67030i	0.371636	+	0.729378i	0.998773	−	0.0495321i	$-0.0157730\pi$
$41$	2.37963	+	4.67030i	0.371636	+	0.729378i	−0.627136	+	0.778910i	$0.715773\pi$
$42$	−1.29262	−	0.939140i	−0.199455	−	0.144912i
$43$	1.90405			0.290364			0.145182	−	0.989405i	$-0.453623\pi$
$43$	1.90405			0.290364			0.145182	+	0.989405i	$0.453623\pi$
$44$	−9.67106	+	1.07490i	−1.45797	+	0.162047i
$45$	−1.06209	−	1.06209i	−0.158328	−	0.158328i
$46$	0.381271	+	2.40725i	0.0562153	+	0.354930i
$47$	−5.39619	−	10.5906i	−0.787116	−	1.54480i	−0.837731	−	0.546083i	$-0.816118\pi$
$47$	−5.39619	−	10.5906i	−0.787116	−	1.54480i	0.0506151	−	0.998718i	$-0.483882\pi$
$48$	0.389384	+	1.19840i	0.0562027	+	0.172974i
$49$	3.81037	+	5.24453i	0.544339	+	0.749218i
$50$	−6.01984	−	0.953450i	−0.851334	−	0.134838i
$51$	−0.360925	−	1.11081i	−0.0505396	−	0.155545i
$52$	7.11196	+	7.83072i	0.986251	+	1.08593i
$53$	2.37506	+	1.72558i	0.326239	+	0.237026i	0.738833	−	0.673889i	$-0.235377\pi$
$53$	2.37506	+	1.72558i	0.326239	+	0.237026i	−0.412594	+	0.910915i	$0.635377\pi$
$54$	−1.57065	+	1.57065i	−0.213739	+	0.213739i
$55$	−4.66136	−	1.75746i	−0.628537	−	0.236976i
$56$		−	1.49213i		−	0.199394i
$57$	−0.130580	+	0.0206818i	−0.0172957	+	0.00273937i
$58$	0.341570	−	0.174039i	0.0448503	−	0.0228524i
$59$	0.715539	+	0.364585i	0.0931553	+	0.0474650i	0.499947	−	0.866056i	$-0.333353\pi$
$59$	0.715539	+	0.364585i	0.0931553	+	0.0474650i	−0.406792	+	0.913521i	$0.633353\pi$
$60$	0.689372	−	4.35253i	0.0889976	−	0.561909i
$61$	−2.76647	−	3.80772i	−0.354210	−	0.487528i	0.594314	−	0.804233i	$-0.297424\pi$
$61$	−2.76647	−	3.80772i	−0.354210	−	0.487528i	−0.948524	+	0.316705i	$0.897424\pi$
$62$	−0.0719990	−	0.221590i	−0.00914388	−	0.0281420i
$63$	−0.640911	+	0.326561i	−0.0807472	+	0.0411428i
$64$	−7.58967	+	10.4463i	−0.948709	+	1.30579i
$65$	1.42413	+	5.22503i	0.176641	+	0.648086i
$66$	−2.59898	+	6.89334i	−0.319912	+	0.848511i
$67$	3.59696	+	3.59696i	0.439439	+	0.439439i	0.891823	−	0.452384i	$-0.149426\pi$
$67$	3.59696	+	3.59696i	0.439439	+	0.439439i	−0.452384	+	0.891823i	$0.649426\pi$
$68$	2.01417	−	2.77227i	0.244254	−	0.336187i
$69$	1.04355	+	0.339070i	0.125629	+	0.0408192i
$70$	1.08952	−	2.13831i	0.130223	−	0.255577i
$71$	−5.39881	−	0.855088i	−0.640721	−	0.101480i	−0.172384	−	0.985030i	$-0.555147\pi$
$71$	−5.39881	−	0.855088i	−0.640721	−	0.101480i	−0.468338	+	0.883550i	$0.655147\pi$
$72$	−2.04885	−	0.324506i	−0.241459	−	0.0382434i
$73$	3.56823	−	7.00305i	0.417630	−	0.819644i	−0.582348	−	0.812940i	$-0.697866\pi$
$73$	3.56823	−	7.00305i	0.417630	−	0.819644i	0.999978	−	0.00670471i	$-0.00213419\pi$
$74$	0.694824	+	0.225762i	0.0807716	+	0.0262443i
$75$	−1.61283	+	2.21987i	−0.186234	+	0.256329i
$76$	−0.274274	−	0.274274i	−0.0314613	−	0.0314613i
$77$	−1.49026	+	1.86296i	−0.169831	+	0.212304i
$78$	7.72691	−	2.10603i	0.874901	−	0.238461i
$79$	−3.12472	+	4.30081i	−0.351558	+	0.483879i	−0.947773	−	0.318947i	$-0.896671\pi$
$79$	−3.12472	+	4.30081i	−0.351558	+	0.483879i	0.596214	+	0.802825i	$0.296671\pi$
$80$	−1.68638	+	0.859251i	−0.188543	+	0.0960672i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	6.84348	+	9.41924i	0.755736	+	1.04018i
$83$	1.88439	−	11.8976i	0.206839	−	1.30593i	−0.637638	−	0.770336i	$-0.720089\pi$
$83$	1.88439	−	11.8976i	0.206839	−	1.30593i	0.844477	−	0.535592i	$-0.179911\pi$
$84$	−1.88036	−	0.958093i	−0.205164	−	0.104536i
$85$	1.56312	−	0.796450i	0.169544	−	0.0863872i
$86$	4.17727	−	0.661614i	0.450446	−	0.0713437i
$87$		−	0.172585i		−	0.0185031i
$88$	−6.63479	+	1.82032i	−0.707270	+	0.194047i
$89$	−11.4182	+	11.4182i	−1.21033	+	1.21033i	−0.239414	+	0.970918i	$0.576955\pi$
$89$	−11.4182	+	11.4182i	−1.21033	+	1.21033i	−0.970918	+	0.239414i	$0.923045\pi$
$90$	−2.69917	−	1.96106i	−0.284517	−	0.206714i
$91$	2.59052	+	0.124608i	0.271560	+	0.0130625i
$92$	0.994793	+	3.06166i	0.103714	+	0.319200i
$93$	−0.103602	−	0.0164090i	−0.0107431	−	0.00170153i
$94$	−15.5187	−	21.3596i	−1.60063	−	2.20307i
$95$	−0.0613642	−	0.188860i	−0.00629584	−	0.0193766i
$96$	3.15419	+	6.19044i	0.321923	+	0.631809i
$97$	2.89154	+	18.2565i	0.293592	+	1.85366i	0.488132	+	0.872770i	$0.337678\pi$
$97$	2.89154	+	18.2565i	0.293592	+	1.85366i	−0.194541	+	0.980894i	$0.562322\pi$
$98$	10.1819	+	10.1819i	1.02853	+	1.02853i
$99$	2.23393	+	2.45144i	0.224519	+	0.246379i
$100$	−8.05034			−0.805034
$101$	−0.495515	−	0.360013i	−0.0493056	−	0.0358226i	0.562860	−	0.826553i	$-0.309701\pi$
$101$	−0.495515	−	0.360013i	−0.0493056	−	0.0358226i	−0.612165	+	0.790730i	$0.709701\pi$
$102$	−1.17781	−	2.31158i	−0.116621	−	0.228881i
$103$	−6.40572	+	2.08135i	−0.631175	+	0.205081i	−0.607095	−	0.794629i	$-0.707665\pi$
$103$	−6.40572	+	2.08135i	−0.631175	+	0.205081i	−0.0240794	+	0.999710i	$0.507665\pi$
$104$	5.83268	+	4.68187i	0.571941	+	0.459096i
$105$	−0.635058	−	0.874083i	−0.0619753	−	0.0853017i
$106$	5.81021	+	2.96045i	0.564337	+	0.287544i
$107$	2.36930	+	0.769831i	0.229048	+	0.0744223i	0.421293	−	0.906925i	$-0.361577\pi$
$107$	2.36930	+	0.769831i	0.229048	+	0.0744223i	−0.192244	+	0.981347i	$0.561577\pi$
$108$	−1.72450	+	2.37357i	−0.165940	+	0.228397i
$109$	7.21279	−	7.21279i	0.690860	−	0.690860i	−0.271561	−	0.962421i	$-0.587540\pi$
$109$	7.21279	−	7.21279i	0.690860	−	0.690860i	0.962421	+	0.271561i	$0.0875399\pi$
$110$	−10.8372	−	2.23596i	−1.03328	−	0.213190i
$111$	0.232573	−	0.232573i	0.0220748	−	0.0220748i
$112$	0.141790	+	0.895226i	0.0133979	+	0.0845909i
$113$	6.26700	−	19.2878i	0.589550	−	1.81445i	0.00937425	−	0.999956i	$-0.497016\pi$
$113$	6.26700	−	19.2878i	0.589550	−	1.81445i	0.580175	−	0.814491i	$-0.302984\pi$
$114$	−0.279291	+	0.0907470i	−0.0261580	+	0.00849923i
$115$	−0.257820	+	1.62781i	−0.0240418	+	0.151794i
$116$	0.409643	−	0.297623i	0.0380344	−	0.0276336i
$117$	0.734481	−	3.52995i	0.0679028	−	0.326344i
$118$	1.69650	+	0.551226i	0.156175	+	0.0507445i
$119$	−0.131427	−	0.829796i	−0.0120479	−	0.0760673i
$120$		−	3.11579i		−	0.284431i
$121$	10.1017	+	4.35377i	0.918338	+	0.395797i
$122$	−7.39242	−	7.39242i	−0.669278	−	0.669278i
$123$	5.17706	−	0.819966i	0.466800	−	0.0739339i
$124$	−0.139714	−	0.274204i	−0.0125467	−	0.0246243i
$125$	−10.3638	−	5.28062i	−0.926967	−	0.472313i
$126$	−1.29262	+	0.939140i	−0.115155	+	0.0836653i
$127$	0.515446	−	0.374493i	0.0457384	−	0.0332309i	−0.564681	−	0.825309i	$-0.691001\pi$
$127$	0.515446	−	0.374493i	0.0457384	−	0.0332309i	0.610420	+	0.792078i	$0.291001\pi$
$128$	−6.71267	+	13.1744i	−0.593322	+	1.16446i
$129$	0.588383	−	1.81086i	0.0518042	−	0.159437i
$130$	4.93996	+	10.9683i	0.433263	+	0.961983i
$131$		−	6.68395i		−	0.583979i	−0.956422	−	0.291990i	$-0.905683\pi$
$131$		−	6.68395i		−	0.583979i	0.956422	−	0.291990i	$-0.0943172\pi$
$132$	−1.96623	+	9.52988i	−0.171139	+	0.829470i
$133$	−0.0950982			−0.00824606
$134$	9.14120	+	6.64147i	0.789679	+	0.573736i
$135$	−1.33832	+	0.681906i	−0.115184	+	0.0586891i
$136$	1.09995	−	2.15876i	0.0943195	−	0.185112i
$137$	3.14160	−	19.8353i	0.268405	−	1.69464i	−0.373317	−	0.927704i	$-0.621779\pi$
$137$	3.14160	−	19.8353i	0.268405	−	1.69464i	0.641721	−	0.766938i	$-0.278221\pi$
$138$	2.40725	+	0.381271i	0.204919	+	0.0324559i
$139$	−0.627633	+	0.203930i	−0.0532351	+	0.0172971i	−0.335514	−	0.942035i	$-0.608910\pi$
$139$	−0.627633	+	0.203930i	−0.0532351	+	0.0172971i	0.282278	+	0.959333i	$0.408910\pi$
$140$	0.979537	−	3.01471i	0.0827860	−	0.254789i
$141$	−11.7398	+	1.85940i	−0.988669	+	0.156590i
$142$	−12.1415			−1.01889
$143$	−2.60622	−	11.6708i	−0.217943	−	0.975961i
$144$	1.26007			0.105006
$145$	0.256036	−	0.0405522i	0.0212627	−	0.00336768i
$146$	5.39490	−	16.6038i	0.446485	−	1.37414i
$147$	6.16531	−	2.00323i	0.508506	−	0.165224i
$148$	0.953098	+	0.150956i	0.0783441	+	0.0124085i
$149$	1.98575	−	12.5375i	0.162679	−	1.02711i	−0.762336	−	0.647182i	$-0.775947\pi$
$149$	1.98575	−	12.5375i	0.162679	−	1.02711i	0.925014	−	0.379932i	$-0.124053\pi$
$150$	−2.76702	+	5.43058i	−0.225926	+	0.443405i
$151$	20.0558	−	10.2190i	1.63212	−	0.831607i	0.633812	−	0.773487i	$-0.281489\pi$
$151$	20.0558	−	10.2190i	1.63212	−	0.831607i	0.998310	−	0.0581202i	$-0.0185107\pi$
$152$	−0.221872	−	0.161200i	−0.0179962	−	0.0130750i
$153$	−1.16798			−0.0944253
$154$	−2.62213	+	4.60496i	−0.211298	+	0.371078i
$155$		−	0.157553i		−	0.0126550i
$156$	9.64518	−	4.34405i	0.772232	−	0.347802i
$157$	−2.40839	+	7.41227i	−0.192211	+	0.591564i	0.807787	+	0.589474i	$0.200665\pi$
$157$	−2.40839	+	7.41227i	−0.192211	+	0.591564i	−0.999998	+	0.00208936i	$0.999335\pi$
$158$	−5.36085	+	10.5213i	−0.426486	+	0.837027i
$159$	2.37506	−	1.72558i	0.188354	−	0.136847i
$160$	−8.44260	+	6.13391i	−0.667446	+	0.484928i
$161$	0.703241	+	0.358319i	0.0554232	+	0.0282395i
$162$	1.00842	+	1.97914i	0.0792290	+	0.155496i
$163$	22.5611	−	3.57332i	1.76712	−	0.279884i	0.813646	−	0.581361i	$-0.197480\pi$
$163$	22.5611	−	3.57332i	1.76712	−	0.279884i	0.953474	+	0.301477i	$0.0974795\pi$
$164$	10.8741	+	10.8741i	0.849122	+	0.849122i
$165$	−3.11189	+	3.89013i	−0.242260	+	0.302846i
$166$		−	26.7567i		−	2.07672i
$167$	−1.71106	−	10.8032i	−0.132406	−	0.835977i	−0.961085	−	0.276253i	$-0.910907\pi$
$167$	−1.71106	−	10.8032i	−0.132406	−	0.835977i	0.828679	−	0.559724i	$-0.189093\pi$
$168$	−1.41910	−	0.461094i	−0.109486	−	0.0355742i
$169$	−8.61539	+	9.73525i	−0.662722	+	0.748866i
$170$	3.15257	−	2.29047i	0.241791	−	0.175671i
$171$	−0.0206818	+	0.130580i	−0.00158157	+	0.00998567i
$172$	5.31285	−	1.72625i	0.405101	−	0.131625i
$173$	0.825332	−	2.54011i	0.0627489	−	0.193121i	−0.914767	−	0.403981i	$-0.867626\pi$
$173$	0.825332	−	2.54011i	0.0627489	−	0.193121i	0.977516	+	0.210860i	$0.0676263\pi$
$174$	−0.0599696	−	0.378633i	−0.00454629	−	0.0287041i
$175$	−1.39564	+	1.39564i	−0.105500	+	0.105500i
$176$	3.80766	−	1.72260i	0.287013	−	0.129846i
$177$	0.567855	−	0.567855i	0.0426826	−	0.0426826i
$178$	−21.0828	+	29.0179i	−1.58022	+	2.17499i
$179$	−12.3639	−	4.01728i	−0.924124	−	0.300266i	−0.191966	−	0.981402i	$-0.561486\pi$
$179$	−12.3639	−	4.01728i	−0.924124	−	0.300266i	−0.732157	+	0.681136i	$0.761486\pi$
$180$	−3.92647	−	2.00064i	−0.292662	−	0.149119i
$181$	−0.137227	−	0.188877i	−0.0102000	−	0.0140391i	0.803887	−	0.594783i	$-0.202762\pi$
$181$	−0.137227	−	0.188877i	−0.0102000	−	0.0140391i	−0.814087	+	0.580744i	$0.802762\pi$
$182$	5.72661	−	0.626771i	0.424485	−	0.0464594i
$183$	−4.47624	+	1.45442i	−0.330893	+	0.107514i
$184$	1.03334	+	2.02804i	0.0761788	+	0.149509i
$185$	0.399677	+	0.290382i	0.0293848	+	0.0213493i
$186$	−0.232994			−0.0170839
$187$	−3.52937	+	1.59670i	−0.258093	+	0.116762i
$188$	−24.6587	−	24.6587i	−1.79842	−	1.79842i
$189$	0.112525	+	0.710456i	0.00818500	+	0.0516780i
$190$	−0.200251	−	0.393014i	−0.0145277	−	0.0285123i
$191$	−2.86872	−	8.82902i	−0.207574	−	0.638846i	−0.999598	−	0.0283561i	$-0.990973\pi$
$191$	−2.86872	−	8.82902i	−0.207574	−	0.638846i	0.792024	−	0.610489i	$-0.209027\pi$
$192$	7.58967	+	10.4463i	0.547738	+	0.753896i
$193$	7.72317	+	1.22323i	0.555926	+	0.0880500i	0.428075	−	0.903743i	$-0.359192\pi$
$193$	7.72317	+	1.22323i	0.555926	+	0.0880500i	0.127851	+	0.991793i	$0.459192\pi$
$194$	12.6874	+	39.0479i	0.910905	+	2.80348i
$195$	5.40938	+	0.260200i	0.387374	+	0.0186333i
$196$	15.3869	+	11.1792i	1.09906	+	0.798515i
$197$	−7.82342	+	7.82342i	−0.557396	+	0.557396i	−0.928565	−	0.371169i	$-0.878957\pi$
$197$	−7.82342	+	7.82342i	−0.557396	+	0.557396i	0.371169	+	0.928565i	$0.378957\pi$
$198$	5.75282	+	4.60194i	0.408835	+	0.327045i
$199$			0.935757i			0.0663341i	0.999450	+	0.0331670i	$0.0105593\pi$
$199$			0.935757i			0.0663341i	−0.999450	+	0.0331670i	$0.989441\pi$
$200$	−5.62187	+	0.890416i	−0.397526	+	0.0629619i
$201$	4.53244	−	2.30939i	0.319693	−	0.162892i
$202$	−1.21220	−	0.617647i	−0.0852901	−	0.0434575i
$203$	0.0194202	−	0.122614i	0.00136303	−	0.00860584i
$204$	−2.01417	−	2.77227i	−0.141020	−	0.194098i
$205$	2.43290	+	7.48769i	0.169921	+	0.522963i
$206$	−13.3302	+	6.79209i	−0.928761	+	0.473227i
$207$	0.644949	−	0.887696i	0.0448270	−	0.0616991i
$208$	−3.94430	−	2.25471i	−0.273488	−	0.156336i
$209$	0.116015	+	0.422856i	0.00802490	+	0.0292495i
$210$	−1.69697	−	1.69697i	−0.117102	−	0.117102i
$211$	−3.84921	+	5.29798i	−0.264990	+	0.364728i	−0.920691	−	0.390293i	$-0.872374\pi$
$211$	−3.84921	+	5.29798i	−0.264990	+	0.364728i	0.655700	+	0.755021i	$0.272374\pi$
$212$	8.19155	+	2.66160i	0.562598	+	0.182799i
$213$	−2.48156	+	4.87034i	−0.170034	+	0.333710i
$214$	5.46547	+	0.865645i	0.373612	+	0.0591743i
$215$	2.82472	+	0.447392i	0.192644	+	0.0305119i
$216$	−0.941752	+	1.84829i	−0.0640781	+	0.125760i
$217$	−0.0717584	−	0.0233157i	−0.00487128	−	0.00158277i
$218$	13.3178	−	18.3303i	0.901994	−	1.24149i
$219$	−5.55765	−	5.55765i	−0.375551	−	0.375551i
$220$	−14.5999	−	0.677749i	−0.984326	−	0.0456939i
$221$	3.65602	+	2.08992i	0.245930	+	0.140583i
$222$	0.429425	−	0.591053i	0.0288211	−	0.0396689i
$223$	−22.4879	+	11.4582i	−1.50590	+	0.767296i	−0.995689	−	0.0927522i	$-0.970434\pi$
$223$	−22.4879	+	11.4582i	−1.50590	+	0.767296i	−0.510213	+	0.860048i	$0.670434\pi$
$224$	1.54433	+	4.75296i	0.103185	+	0.317570i
$225$	1.61283	+	2.21987i	0.107522	+	0.147992i
$226$	7.04700	−	44.4930i	0.468760	−	2.95963i
$227$	−18.9529	−	9.65700i	−1.25795	−	0.640957i	−0.307415	−	0.951576i	$-0.599464\pi$
$227$	−18.9529	−	9.65700i	−1.25795	−	0.640957i	−0.950535	+	0.310618i	$0.899464\pi$
$228$	−0.345605	+	0.176094i	−0.0228882	+	0.0116621i
$229$	13.8101	−	2.18731i	0.912600	−	0.144542i	0.317560	−	0.948238i	$-0.397136\pi$
$229$	13.8101	−	2.18731i	0.912600	−	0.144542i	0.595040	+	0.803696i	$0.297136\pi$
$230$			3.66082i			0.241388i
$231$	1.31126	+	1.99301i	0.0862748	+	0.131130i
$232$	0.253151	−	0.253151i	0.0166202	−	0.0166202i
$233$	17.1808	+	12.4826i	1.12555	+	0.817761i	0.985041	−	0.172318i	$-0.0551256\pi$
$233$	17.1808	+	12.4826i	1.12555	+	0.817761i	0.140511	+	0.990079i	$0.455126\pi$
$234$	0.384791	−	7.99953i	0.0251546	−	0.522946i
$235$	−5.51697	−	16.9795i	−0.359888	−	1.10762i
$236$	2.32711	+	0.368577i	0.151482	+	0.0239923i
$237$	3.12472	+	4.30081i	0.202972	+	0.279367i
$238$	−0.576671	−	1.77481i	−0.0373800	−	0.115044i
$239$	2.26071	+	4.43689i	0.146233	+	0.286998i	0.952492	−	0.304565i	$-0.0985110\pi$
$239$	2.26071	+	4.43689i	0.146233	+	0.286998i	−0.806259	+	0.591563i	$0.798511\pi$
$240$	0.296078	+	1.86936i	0.0191117	+	0.120667i
$241$	−2.74053	−	2.74053i	−0.176533	−	0.176533i	0.613310	−	0.789843i	$-0.289838\pi$
$241$	−2.74053	−	2.74053i	−0.176533	−	0.176533i	−0.789843	+	0.613310i	$0.789838\pi$
$242$	23.6749	+	6.04156i	1.52188	+	0.388366i
$243$	1.00000			0.0641500
$244$	−11.1714	−	8.11651i	−0.715177	−	0.519606i
$245$	4.42052	+	8.67575i	0.282417	+	0.554274i
$246$	11.0730	−	3.59783i	0.705987	−	0.229389i
$247$	0.298390	−	0.371735i	0.0189861	−	0.0236529i
$248$	−0.127896	−	0.176034i	−0.00812142	−	0.0111782i
$249$	−10.7330	−	5.46871i	−0.680173	−	0.346566i
$250$	−24.5719	−	7.98391i	−1.55407	−	0.504947i
$251$	4.05725	−	5.58432i	0.256091	−	0.352479i	−0.661542	−	0.749908i	$-0.730098\pi$
$251$	4.05725	−	5.58432i	0.256091	−	0.352479i	0.917633	+	0.397429i	$0.130098\pi$
$252$	−1.49226	+	1.49226i	−0.0940038	+	0.0940038i
$253$	0.735356	−	3.56410i	0.0462315	−	0.224073i
$254$	1.00070	−	1.00070i	0.0627897	−	0.0627897i
$255$	−0.274438	−	1.73273i	−0.0171860	−	0.108508i
$256$	−2.16880	+	6.67488i	−0.135550	+	0.417180i
$257$	−23.9425	+	7.77939i	−1.49349	+	0.485265i	−0.938112	−	0.346331i	$-0.887427\pi$
$257$	−23.9425	+	7.77939i	−1.49349	+	0.485265i	−0.555380	+	0.831597i	$0.687427\pi$
$258$	0.661614	−	4.17727i	0.0411903	−	0.260065i
$259$	0.191403	−	0.139062i	0.0118932	−	0.00864091i
$260$	8.71086	+	13.2882i	0.540224	+	0.824102i
$261$	−0.164139	−	0.0533318i	−0.0101599	−	0.00330116i
$262$	−2.32252	−	14.6638i	−0.143486	−	0.905935i
$263$			22.0488i			1.35959i	0.733402	+	0.679795i	$0.237931\pi$
$263$			22.0488i			1.35959i	−0.733402	+	0.679795i	$0.762069\pi$
$264$	−0.319035	+	6.87257i	−0.0196352	+	0.422977i
$265$	3.11802	+	3.11802i	0.191538	+	0.191538i
$266$	−0.208635	+	0.0330445i	−0.0127922	+	0.00202609i
$267$	7.33096	+	14.3878i	0.448648	+	0.880521i
$268$	13.2977	+	6.77550i	0.812284	+	0.413880i
$269$	1.02260	−	0.742966i	0.0623493	−	0.0452994i	−0.556174	−	0.831066i	$-0.687731\pi$
$269$	1.02260	−	0.742966i	0.0623493	−	0.0452994i	0.618523	+	0.785766i	$0.287731\pi$
$270$	−2.69917	+	1.96106i	−0.164266	+	0.119346i
$271$	10.9442	−	21.4793i	0.664816	−	1.30477i	−0.274456	−	0.961600i	$-0.588498\pi$
$271$	10.9442	−	21.4793i	0.664816	−	1.30477i	0.939272	−	0.343175i	$-0.111502\pi$
$272$	−0.454792	+	1.39970i	−0.0275758	+	0.0848695i
$273$	0.919024	−	2.42522i	0.0556219	−	0.146781i
$274$		−	44.6080i		−	2.69487i
$275$	7.90833	+	4.50312i	0.476890	+	0.271548i
$276$	3.21922			0.193774
$277$	15.7684	+	11.4564i	0.947433	+	0.688350i	0.950198	−	0.311646i	$-0.100880\pi$
$277$	15.7684	+	11.4564i	0.947433	+	0.688350i	−0.00276528	+	0.999996i	$0.500880\pi$
$278$	−1.30610	+	0.665489i	−0.0783344	+	0.0399134i
$279$	−0.0476207	+	0.0934610i	−0.00285098	+	0.00559536i
$280$	0.350604	−	2.21363i	0.0209526	−	0.132290i
$281$	3.27913	+	0.519363i	0.195617	+	0.0309826i	0.253474	−	0.967342i	$-0.418427\pi$
$281$	3.27913	+	0.519363i	0.195617	+	0.0309826i	−0.0578572	+	0.998325i	$0.518427\pi$
$282$	−25.1097	+	8.15864i	−1.49526	+	0.485840i
$283$	5.17113	−	15.9151i	0.307392	−	0.946054i	−0.671382	−	0.741111i	$-0.734299\pi$
$283$	5.17113	−	15.9151i	0.307392	−	0.946054i	0.978774	−	0.204943i	$-0.0657009\pi$
$284$	−15.8395	+	2.50873i	−0.939902	+	0.148866i
$285$	−0.198579			−0.0117628
$286$	−9.77310	−	24.6988i	−0.577896	−	1.46047i
$287$	3.77034			0.222556
$288$	6.86216	−	1.08686i	0.404357	−	0.0640438i
$289$	−4.83174	+	14.8706i	−0.284220	+	0.874739i
$290$	0.547625	−	0.177934i	0.0321576	−	0.0104486i
$291$	18.2565	+	2.89154i	1.07021	+	0.169505i
$292$	3.60730	−	22.7756i	0.211101	−	1.33284i
$293$	−5.88030	+	11.5407i	−0.343531	+	0.674217i	−0.996538	−	0.0831342i	$-0.973507\pi$
$293$	−5.88030	+	11.5407i	−0.343531	+	0.674217i	0.653008	+	0.757351i	$0.273507\pi$
$294$	12.8299	−	6.53717i	0.748257	−	0.381256i
$295$	0.975861	+	0.709005i	0.0568168	+	0.0412798i
$296$	0.682282			0.0396568
$297$	3.02178	−	1.36706i	0.175341	−	0.0793250i
$298$		−	28.1959i		−	1.63335i
$299$	−3.60722	+	1.62464i	−0.208611	+	0.0939554i
$300$	−2.48769	+	7.65633i	−0.143627	+	0.442038i
$301$	0.621787	−	1.22033i	0.0358392	−	0.0703384i
$302$	40.4494	−	29.3882i	2.32760	−	1.69110i
$303$	−0.495515	+	0.360013i	−0.0284666	+	0.0206822i
$304$	0.148433	+	0.0756306i	0.00851324	+	0.00433771i
$305$	−3.20946	−	6.29891i	−0.183773	−	0.360675i
$306$	−2.56241	+	0.405846i	−0.146483	+	0.0232007i
$307$	−15.0604	−	15.0604i	−0.859543	−	0.859543i	0.131741	−	0.991284i	$-0.457943\pi$
$307$	−15.0604	−	15.0604i	−0.859543	−	0.859543i	−0.991284	+	0.131741i	$0.957943\pi$
$308$	−2.46927	+	6.54931i	−0.140700	+	0.373182i
$309$			6.73538i			0.383162i
$310$	−0.0547462	−	0.345654i	−0.00310938	−	0.0196318i
$311$	27.4284	+	8.91203i	1.55532	+	0.505355i	0.955553	−	0.294818i	$-0.0952590\pi$
$311$	27.4284	+	8.91203i	1.55532	+	0.505355i	0.599769	+	0.800173i	$0.295259\pi$
$312$	6.25512	−	4.10043i	0.354127	−	0.232141i
$313$	3.41232	−	2.47919i	0.192876	−	0.140132i	−0.487156	−	0.873315i	$-0.661966\pi$
$313$	3.41232	−	2.47919i	0.192876	−	0.140132i	0.680032	+	0.733182i	$0.261966\pi$
$314$	−2.70815	+	17.0986i	−0.152830	+	0.964928i
$315$	−1.02755	+	0.333870i	−0.0578956	+	0.0188114i
$316$	−4.81968	+	14.8335i	−0.271128	+	0.834447i
$317$	1.23322	+	7.78627i	0.0692648	+	0.437320i	0.997813	+	0.0661075i	$0.0210580\pi$
$317$	1.23322	+	7.78627i	0.0692648	+	0.437320i	−0.928548	+	0.371213i	$0.878942\pi$
$318$	4.61101	−	4.61101i	0.258572	−	0.258572i
$319$	−0.568898	+	0.0632306i	−0.0318522	+	0.00354024i
$320$	−13.7141	+	13.7141i	−0.766641	+	0.766641i
$321$	1.46431	−	2.01544i	0.0817295	−	0.112491i
$322$	1.66734	+	0.541752i	0.0929173	+	0.0301907i
$323$	−0.137585	−	0.0701029i	−0.00765542	−	0.00390063i
$324$	1.72450	+	2.37357i	0.0958054	+	0.131865i
$325$	−1.07639	−	9.83460i	−0.0597071	−	0.545525i
$326$	48.2548	−	15.6789i	2.67259	−	0.868376i
$327$	−4.63090	−	9.08865i	−0.256089	−	0.502603i
$328$	8.79652	+	6.39105i	0.485707	+	0.352887i
$329$	−8.54984			−0.471368
$330$	−5.47540	+	9.61582i	−0.301411	+	0.529334i
$331$	7.84134	+	7.84134i	0.430999	+	0.430999i	0.888968	−	0.457969i	$-0.151423\pi$
$331$	7.84134	+	7.84134i	0.430999	+	0.430999i	−0.457969	+	0.888968i	$0.651423\pi$
$332$	−5.52859	−	34.9061i	−0.303421	−	1.91572i
$333$	−0.149321	−	0.293059i	−0.00818273	−	0.0160595i
$334$	−7.50775	−	23.1065i	−0.410806	−	1.26433i
$335$	4.49104	+	6.18139i	0.245372	+	0.337726i
$336$	0.895226	+	0.141790i	0.0488386	+	0.00773527i
$337$	4.60503	+	14.1728i	0.250852	+	0.772043i	0.994619	+	0.103604i	$0.0330374\pi$
$337$	4.60503	+	14.1728i	0.250852	+	0.772043i	−0.743767	+	0.668439i	$0.766963\pi$
$338$	−15.5184	+	24.3517i	−0.844090	+	1.32456i
$339$	−16.4072	−	11.9205i	−0.891118	−	0.647435i
$340$	3.63949	−	3.63949i	0.197379	−	0.197379i
$341$	−0.0161323	+	0.347519i	−0.000873615	+	0.0188192i
$342$			0.293663i			0.0158795i
$343$	9.57878	−	1.51713i	0.517206	−	0.0819173i
$344$	3.51924	−	1.79314i	0.189745	−	0.0966797i
$345$	1.46847	+	0.748223i	0.0790598	+	0.0402830i
$346$	0.928055	−	5.85951i	0.0498925	−	0.315009i
$347$	8.87394	+	12.2139i	0.476378	+	0.655678i	0.977804	−	0.209523i	$-0.0671910\pi$
$347$	8.87394	+	12.2139i	0.476378	+	0.655678i	−0.501426	+	0.865201i	$0.667191\pi$
$348$	−0.156470	−	0.481564i	−0.00838766	−	0.0258146i
$349$	−16.8546	+	8.58783i	−0.902204	+	0.459696i	−0.842609	−	0.538526i	$-0.818981\pi$
$349$	−16.8546	+	8.58783i	−0.902204	+	0.459696i	−0.0595958	+	0.998223i	$0.518981\pi$
$350$	−2.57692	+	3.54683i	−0.137742	+	0.189586i
$351$	−3.13021	−	1.78935i	−0.167078	−	0.0955083i
$352$	19.2501	−	12.6652i	1.02603	−	0.675060i
$353$	6.23888	+	6.23888i	0.332062	+	0.332062i	0.853369	−	0.521307i	$-0.174555\pi$
$353$	6.23888	+	6.23888i	0.332062	+	0.332062i	−0.521307	+	0.853369i	$0.674555\pi$
$354$	1.04849	−	1.44313i	0.0557268	−	0.0767014i
$355$	−7.80841	−	2.53711i	−0.414427	−	0.134656i
$356$	−21.5082	+	42.2123i	−1.13993	+	2.23725i
$357$	−0.829796	−	0.131427i	−0.0439174	−	0.00695584i
$358$	−28.5210	−	4.51728i	−1.50738	−	0.238746i
$359$	−4.85850	+	9.53534i	−0.256422	+	0.503256i	−0.982948	−	0.183882i	$-0.941133\pi$
$359$	−4.85850	+	9.53534i	−0.256422	+	0.503256i	0.726527	+	0.687138i	$0.241133\pi$
$360$	−2.96329	−	0.962831i	−0.156179	−	0.0507457i
$361$	11.1576	−	15.3572i	0.587245	−	0.808273i
$362$	−0.366691	−	0.366691i	−0.0192728	−	0.0192728i
$363$	7.26228	−	8.26192i	0.381171	−	0.433638i
$364$	7.34128	−	2.00093i	0.384788	−	0.104877i
$365$	6.93909	−	9.55084i	0.363209	−	0.499914i
$366$	−9.31500	+	4.74623i	−0.486903	+	0.248089i
$367$	8.96829	+	27.6016i	0.468141	+	1.44079i	0.854989	+	0.518646i	$0.173564\pi$
$367$	8.96829	+	27.6016i	0.468141	+	1.44079i	−0.386848	+	0.922144i	$0.626436\pi$
$368$	−0.812683	−	1.11856i	−0.0423640	−	0.0583091i
$369$	0.819966	−	5.17706i	0.0426857	−	0.269507i
$370$	0.977748	+	0.498188i	0.0508307	+	0.0258995i
$371$	1.88154	−	0.958694i	0.0976848	−	0.0497729i
$372$	−0.303958	+	0.0481422i	−0.0157595	+	0.00249605i
$373$			13.9597i			0.722805i	0.932410	+	0.361402i	$0.117702\pi$
$373$			13.9597i			0.722805i	−0.932410	+	0.361402i	$0.882298\pi$
$374$	−7.18822	+	4.72935i	−0.371694	+	0.244549i
$375$	−8.22476	+	8.22476i	−0.424725	+	0.424725i
$376$	−19.9475	−	14.4927i	−1.02871	−	0.747404i
$377$	0.418359	+	0.460641i	0.0215466	+	0.0237242i
$378$	0.493735	+	1.51956i	0.0253950	+	0.0781578i
$379$	−21.1829	−	3.35505i	−1.08809	−	0.172337i	−0.413484	−	0.910511i	$-0.635688\pi$
$379$	−21.1829	−	3.35505i	−1.08809	−	0.172337i	−0.674610	+	0.738174i	$0.735688\pi$
$380$	−0.342449	−	0.471340i	−0.0175672	−	0.0241792i
$381$	−0.196883	−	0.605943i	−0.0100866	−	0.0310434i
$382$	−9.36155	−	18.3731i	−0.478979	−	0.940048i
$383$	−3.25985	−	20.5819i	−0.166571	−	1.05169i	−0.919358	−	0.393422i	$-0.871291\pi$
$383$	−3.25985	−	20.5819i	−0.166571	−	1.05169i	0.752787	−	0.658264i	$-0.228709\pi$
$384$	10.4552	+	10.4552i	0.533541	+	0.533541i
$385$	−2.64859	+	2.41360i	−0.134985	+	0.123008i
$386$	17.3688			0.884049
$387$	−1.54041	−	1.11917i	−0.0783032	−	0.0568906i
$388$	24.6200	+	48.3194i	1.24989	+	2.45305i
$389$	−11.0720	+	3.59752i	−0.561374	+	0.182402i	−0.575940	−	0.817492i	$-0.695364\pi$
$389$	−11.0720	+	3.59752i	−0.561374	+	0.182402i	0.0145651	+	0.999894i	$0.495364\pi$
$390$	11.9580	−	1.30879i	0.605517	−	0.0662731i
$391$	0.753285	+	1.03681i	0.0380953	+	0.0524336i
$392$	11.9817	+	6.10500i	0.605169	+	0.308349i
$393$	−6.35681	−	2.06545i	−0.320659	−	0.104188i
$394$	−14.4453	+	19.8822i	−0.727742	+	1.00165i
$395$	−5.64618	+	5.64618i	−0.284090	+	0.284090i
$396$	8.45586	+	4.81489i	0.424923	+	0.241958i
$397$	−23.8707	+	23.8707i	−1.19804	+	1.19804i	−0.223282	+	0.974754i	$0.571677\pi$
$397$	−23.8707	+	23.8707i	−1.19804	+	1.19804i	−0.974754	+	0.223282i	$0.928323\pi$
$398$	0.325155	+	2.05295i	0.0162985	+	0.102905i
$399$	−0.0293870	+	0.0904437i	−0.00147119	+	0.00452785i
$400$	3.28831	−	1.06844i	0.164415	−	0.0534218i
$401$	−3.92107	+	24.7567i	−0.195809	+	1.23629i	0.672437	+	0.740155i	$0.265248\pi$
$401$	−3.92107	+	24.7567i	−0.195809	+	1.23629i	−0.868246	+	0.496135i	$0.834752\pi$
$402$	9.14120	−	6.64147i	0.455922	−	0.331246i
$403$	0.316297	−	0.207343i	0.0157559	−	0.0103285i
$404$	−1.70903	−	0.555297i	−0.0850273	−	0.0276270i
$405$	0.234969	+	1.48353i	0.0116757	+	0.0737174i
$406$		−	0.275750i		−	0.0136853i
$407$	−0.851844	−	0.681427i	−0.0422243	−	0.0337771i
$408$	−1.71320	−	1.71320i	−0.0848163	−	0.0848163i
$409$	0.0311709	−	0.00493698i	0.00154130	−	0.000244118i	−0.155664	−	0.987810i	$-0.549752\pi$
$409$	0.0311709	−	0.00493698i	0.00154130	−	0.000244118i	0.157205	+	0.987566i	$0.449752\pi$
$410$	7.93931	+	15.5818i	0.392095	+	0.769529i
$411$	−17.8937	−	9.11727i	−0.882629	−	0.449722i
$412$	−15.9869	+	11.6151i	−0.787616	+	0.572237i
$413$	0.467334	−	0.339538i	0.0229960	−	0.0167076i
$414$	1.10649	−	2.17161i	0.0543811	−	0.106729i
$415$	5.59111	−	17.2077i	0.274457	−	0.844692i
$416$	−23.4248	−	8.87668i	−1.14849	−	0.435215i
$417$			0.659932i			0.0323170i
$418$	0.401456	+	0.887386i	0.0196359	+	0.0434034i
$419$	−15.2174			−0.743420			−0.371710	−	0.928349i	$-0.621228\pi$
$419$	−15.2174			−0.743420			−0.371710	+	0.928349i	$0.621228\pi$
$420$	−2.56446	−	1.86319i	−0.125133	−	0.0909144i
$421$	−13.3252	+	6.78952i	−0.649430	+	0.330901i	−0.747484	−	0.664280i	$-0.768738\pi$
$421$	−13.3252	+	6.78952i	−0.649430	+	0.330901i	0.0980537	+	0.995181i	$0.468738\pi$
$422$	−6.60380	+	12.9607i	−0.321468	+	0.630917i
$423$	−1.85940	+	11.7398i	−0.0904072	+	0.570809i
$424$	6.01487	+	0.952661i	0.292108	+	0.0462653i
$425$	−3.04797	+	0.990347i	−0.147848	+	0.0480389i
$426$	−3.75194	+	11.5473i	−0.181782	+	0.559467i
$427$	−3.34383	+	0.529610i	−0.161819	+	0.0256296i
$428$	7.30898			0.353293
$429$	−11.9050	−	1.12781i	−0.574777	−	0.0544513i
$430$	6.35258			0.306349
$431$	15.9981	−	2.53385i	0.770601	−	0.122051i	0.241260	−	0.970461i	$-0.422439\pi$
$431$	15.9981	−	2.53385i	0.770601	−	0.122051i	0.529341	+	0.848409i	$0.322439\pi$
$432$	0.389384	−	1.19840i	0.0187342	−	0.0576581i
$433$	−13.8446	+	4.49839i	−0.665330	+	0.216179i	−0.622161	−	0.782889i	$-0.713745\pi$
$433$	−13.8446	+	4.49839i	−0.665330	+	0.216179i	−0.0431686	+	0.999068i	$0.513745\pi$
$434$	−0.165532	−	0.0262176i	−0.00794577	−	0.00125849i
$435$	0.0405522	−	0.256036i	0.00194433	−	0.0122760i
$436$	13.5865	−	26.6651i	0.650677	−	1.27703i
$437$	0.129254	−	0.0658580i	0.00618304	−	0.00315041i
$438$	−14.1240	−	10.2617i	−0.674872	−	0.490323i
$439$	−11.4110			−0.544619			−0.272310	−	0.962210i	$-0.587788\pi$
$439$	−11.4110			−0.544619			−0.272310	+	0.962210i	$0.587788\pi$
$440$	−10.2707	+	1.14154i	−0.489634	+	0.0544208i
$441$		−	6.48259i		−	0.308695i
$442$	8.74709	+	3.31466i	0.416057	+	0.157662i
$443$	−8.86746	+	27.2912i	−0.421306	+	1.29665i	0.485182	+	0.874413i	$0.338753\pi$
$443$	−8.86746	+	27.2912i	−0.421306	+	1.29665i	−0.906488	+	0.422232i	$0.861247\pi$
$444$	0.438091	−	0.859802i	0.0207909	−	0.0408044i
$445$	−19.6223	+	14.2564i	−0.930186	+	0.675820i
$446$	−45.3545	+	32.9520i	−2.14760	+	1.56032i
$447$	−11.3103	−	5.76287i	−0.534957	−	0.272574i
$448$	4.21666	+	8.27566i	0.199218	+	0.390988i
$449$	−27.2173	+	4.31079i	−1.28446	+	0.203439i	−0.761079	−	0.648659i	$-0.775330\pi$
$449$	−27.2173	+	4.31079i	−1.28446	+	0.203439i	−0.523383	+	0.852098i	$0.675330\pi$
$450$	4.30973	+	4.30973i	0.203163	+	0.203163i
$451$	−4.59961	−	16.7649i	−0.216587	−	0.789427i
$452$		−	59.5006i		−	2.79867i
$453$	−3.52121	−	22.2321i	−0.165441	−	1.04455i
$454$	−44.9362	−	14.6007i	−2.10896	−	0.685243i
$455$	3.81385	+	0.793552i	0.178796	+	0.0372023i
$456$	−0.221872	+	0.161200i	−0.0103901	+	0.00754886i
$457$	−2.24478	+	14.1730i	−0.105006	+	0.662983i	0.877896	+	0.478852i	$0.158947\pi$
$457$	−2.24478	+	14.1730i	−0.105006	+	0.662983i	−0.982902	+	0.184131i	$0.941053\pi$
$458$	29.5379	−	9.59744i	1.38021	−	0.448459i
$459$	−0.360925	+	1.11081i	−0.0168465	+	0.0518483i
$460$	0.756415	+	4.77582i	0.0352681	+	0.222674i
$461$	−8.74162	+	8.74162i	−0.407138	+	0.407138i	−0.880739	−	0.473601i	$-0.842954\pi$
$461$	−8.74162	+	8.74162i	−0.407138	+	0.407138i	0.473601	+	0.880739i	$0.342954\pi$
$462$	3.56929	+	3.91681i	0.166059	+	0.182226i
$463$	−12.6693	+	12.6693i	−0.588794	+	0.588794i	−0.937305	−	0.348511i	$-0.886688\pi$
$463$	−12.6693	+	12.6693i	−0.588794	+	0.588794i	0.348511	+	0.937305i	$0.386688\pi$
$464$	−0.127826	+	0.175937i	−0.00593416	+	0.00816768i
$465$	−0.149842	−	0.0486866i	−0.00694875	−	0.00225779i
$466$	42.0302	+	21.4155i	1.94701	+	0.992052i
$467$	13.4618	+	18.5286i	0.622939	+	0.857402i	0.997563	−	0.0697753i	$-0.0222282\pi$
$467$	13.4618	+	18.5286i	0.622939	+	0.857402i	−0.374624	+	0.927177i	$0.622228\pi$
$468$	−1.15091	−	10.5155i	−0.0532008	−	0.486079i
$469$	3.47996	−	1.13071i	0.160690	−	0.0522112i
$470$	−18.0036	−	35.3341i	−0.830445	−	1.62984i
$471$	6.30525	+	4.58104i	0.290531	+	0.211083i
$472$	1.66588			0.0766781
$473$	−6.18474	−	1.27605i	−0.284375	−	0.0586730i
$474$	8.34972	+	8.34972i	0.383515	+	0.383515i
$475$	0.0567490	+	0.358299i	0.00260382	+	0.0164399i
$476$	−1.11903	−	2.19622i	−0.0512907	−	0.100664i
$477$	−0.907190	−	2.79204i	−0.0415374	−	0.127839i
$478$	6.50146	+	8.94849i	0.297370	+	0.409294i
$479$	35.7354	+	5.65994i	1.63279	+	0.258609i	0.904443	−	0.426595i	$-0.140287\pi$
$479$	35.7354	+	5.65994i	1.63279	+	0.258609i	0.728351	+	0.685204i	$0.240287\pi$
$480$	3.22479	+	9.92487i	0.147191	+	0.453006i
$481$	−0.0569776	+	1.18452i	−0.00259795	+	0.0540096i
$482$	−6.96469	−	5.06014i	−0.317233	−	0.230483i
$483$	0.558096	−	0.558096i	0.0253942	−	0.0253942i
$484$	32.1340	+	2.98986i	1.46064	+	0.135903i
$485$			27.7635i			1.26068i
$486$	2.19389	−	0.347478i	0.0995168	−	0.0157619i
$487$	−13.5141	+	6.88576i	−0.612381	+	0.312024i	−0.732533	−	0.680732i	$-0.761662\pi$
$487$	−13.5141	+	6.88576i	−0.612381	+	0.312024i	0.120152	+	0.992756i	$0.461662\pi$
$488$	−8.69917	−	4.43245i	−0.393793	−	0.200648i
$489$	3.57332	−	22.5611i	0.161591	−	1.02025i
$490$	12.7128	+	17.4976i	0.574304	+	0.790461i
$491$	2.59456	+	7.98525i	0.117091	+	0.360369i	0.992377	−	0.123236i	$-0.0393271\pi$
$491$	2.59456	+	7.98525i	0.117091	+	0.360369i	−0.875286	+	0.483605i	$0.839327\pi$
$492$	13.7021	−	6.98158i	0.617740	−	0.314754i
$493$	0.118483	−	0.163078i	0.00533622	−	0.00734468i
$494$	0.525466	−	0.919229i	0.0236418	−	0.0413581i
$495$	2.73811	+	4.16169i	0.123069	+	0.187054i
$496$	0.0934609	+	0.0934609i	0.00419652	+	0.00419652i
$497$	−2.31108	+	3.18092i	−0.103666	+	0.142684i
$498$	−25.4472	−	8.26828i	−1.14031	−	0.370511i
$499$	−1.04321	+	2.04742i	−0.0467006	+	0.0916551i	−0.913178	−	0.407562i	$-0.866379\pi$
$499$	−1.04321	+	2.04742i	−0.0467006	+	0.0916551i	0.866477	+	0.499217i	$0.166379\pi$
$500$	−33.7056	−	5.33844i	−1.50736	−	0.238742i
$501$	−10.8032	−	1.71106i	−0.482652	−	0.0764445i
$502$	6.96073	−	13.6612i	0.310672	−	0.609729i
$503$	15.0997	+	4.90620i	0.673263	+	0.218757i	0.625644	−	0.780109i	$-0.284836\pi$
$503$	15.0997	+	4.90620i	0.673263	+	0.218757i	0.0476198	+	0.998866i	$0.484836\pi$
$504$	−0.877053	+	1.20716i	−0.0390670	+	0.0537712i
$505$	−0.650522	−	0.650522i	−0.0289478	−	0.0289478i
$506$	0.374843	−	8.07477i	0.0166638	−	0.358967i
$507$	6.59647	+	11.2021i	0.292960	+	0.497502i
$508$	1.09872	−	1.51226i	0.0487479	−	0.0670957i
$509$	−21.6389	+	11.0255i	−0.959125	+	0.488699i	−0.862186	−	0.506591i	$-0.830905\pi$
$509$	−21.6389	+	11.0255i	−0.959125	+	0.488699i	−0.0969392	+	0.995290i	$0.530905\pi$
$510$	−1.20417	−	3.70606i	−0.0533217	−	0.164107i
$511$	−3.32309	−	4.57384i	−0.147005	−	0.202335i
$512$	2.18732	−	13.8102i	0.0966670	−	0.610331i
$513$	0.117797	+	0.0600208i	0.00520089	+	0.00264998i
$514$	−49.8240	+	25.3866i	−2.19764	+	1.11976i
$515$	−9.99217	+	1.58260i	−0.440307	+	0.0697378i
$516$		−	5.58626i		−	0.245921i
$517$	10.4303	+	38.0170i	0.458726	+	1.67199i
$518$	0.371596	−	0.371596i	0.0163270	−	0.0163270i
$519$	−2.16075	−	1.56988i	−0.0948463	−	0.0689099i
$520$	7.55289	+	8.31622i	0.331216	+	0.364690i
$521$	1.05103	+	3.23473i	0.0460463	+	0.141716i	0.971436	−	0.237300i	$-0.0762625\pi$
$521$	1.05103	+	3.23473i	0.0460463	+	0.141716i	−0.925390	+	0.379016i	$0.876263\pi$
$522$	−0.378633	−	0.0599696i	−0.0165723	−	0.00262480i
$523$	11.9048	+	16.3856i	0.520562	+	0.716492i	0.985656	−	0.168770i	$-0.0539794\pi$
$523$	11.9048	+	16.3856i	0.520562	+	0.716492i	−0.465094	+	0.885261i	$0.653979\pi$
$524$	−6.05981	−	18.6502i	−0.264724	−	0.814737i
$525$	0.896054	+	1.75861i	0.0391070	+	0.0767519i
$526$	7.66149	+	48.3727i	0.334057	+	2.10915i
$527$	−0.0866301	−	0.0866301i	−0.00377366	−	0.00377366i
$528$	−0.461657	−	4.15361i	−0.0200910	−	0.180763i
$529$	21.7960			0.947654
$530$	7.92403	+	5.75715i	0.344198	+	0.250074i
$531$	−0.364585	−	0.715539i	−0.0158217	−	0.0310518i
$532$	−0.265352	+	0.0862181i	−0.0115045	+	0.00373803i
$533$	−11.8302	+	14.7381i	−0.512424	+	0.638378i
$534$	21.0828	+	29.0179i	0.912341	+	1.25573i
$535$	3.33405	+	1.69878i	0.144143	+	0.0734447i
$536$	10.0357	+	3.26079i	0.433476	+	0.140845i
$537$	−7.64133	+	10.5174i	−0.329748	+	0.453859i
$538$	1.98532	−	1.98532i	0.0855931	−	0.0855931i
$539$	−8.86211	−	19.5889i	−0.381718	−	0.843756i
$540$	−3.11606	+	3.11606i	−0.134094	+	0.134094i
$541$	−3.82677	−	24.1613i	−0.164526	−	1.03878i	−0.922361	−	0.386329i	$-0.873743\pi$
$541$	−3.82677	−	24.1613i	−0.164526	−	1.03878i	0.757835	−	0.652446i	$-0.226257\pi$
$542$	16.5469	−	50.9261i	0.710750	−	2.18746i
$543$	−0.222038	+	0.0721444i	−0.00952855	+	0.00309601i
$544$	−1.26943	+	8.01484i	−0.0544262	+	0.343633i
$545$	12.3952	−	9.00565i	0.530952	−	0.385759i
$546$	1.17353	−	5.64001i	0.0502222	−	0.241370i
$547$	−18.2355	−	5.92507i	−0.779694	−	0.253338i	−0.107984	−	0.994153i	$-0.534440\pi$
$547$	−18.2355	−	5.92507i	−0.779694	−	0.253338i	−0.671709	+	0.740815i	$0.734440\pi$
$548$	−9.21710	−	58.1945i	−0.393735	−	2.48595i
$549$			4.70660i			0.200873i
$550$	18.9147	+	7.13138i	0.806527	+	0.304083i
$551$	−0.0161341	−	0.0161341i	−0.000687335	−	0.000687335i
$552$	2.24810	−	0.356065i	0.0956857	−	0.0151551i
$553$	1.73603	+	3.40714i	0.0738233	+	0.144886i
$554$	38.5750	+	19.6550i	1.63890	+	0.835059i
$555$	0.399677	−	0.290382i	0.0169653	−	0.0123260i
$556$	−1.56639	+	1.13805i	−0.0664299	+	0.0482641i
$557$	17.9796	−	35.2869i	0.761820	−	1.49516i	−0.103878	−	0.994590i	$-0.533125\pi$
$557$	17.9796	−	35.2869i	0.761820	−	1.49516i	0.865698	−	0.500566i	$-0.166875\pi$
$558$	−0.0719990	+	0.221590i	−0.00304796	+	0.00938066i
$559$	2.81922	+	6.25956i	0.119240	+	0.264751i
$560$			1.36142i			0.0575303i
$561$	0.427915	+	3.85003i	0.0180666	+	0.162549i
$562$	7.37452			0.311075
$563$	1.92419	+	1.39801i	0.0810950	+	0.0589190i	0.627594	−	0.778541i	$-0.284040\pi$
$563$	1.92419	+	1.39801i	0.0810950	+	0.0589190i	−0.546499	+	0.837460i	$0.684040\pi$
$564$	−31.0717	+	15.8318i	−1.30836	+	0.666640i
$565$	13.8294	−	27.1416i	0.581805	−	1.14186i
$566$	5.81474	−	36.7128i	0.244412	−	1.54315i
$567$	0.710456	+	0.112525i	0.0298363	+	0.00472561i
$568$	−10.7839	+	3.50389i	−0.452481	+	0.147020i
$569$	5.78878	−	17.8160i	0.242678	−	0.746888i	−0.753331	−	0.657641i	$-0.771554\pi$
$569$	5.78878	−	17.8160i	0.242678	−	0.746888i	0.996010	−	0.0892461i	$-0.0284458\pi$
$570$	−0.435660	+	0.0690017i	−0.0182478	+	0.00289016i
$571$	29.2106			1.22242			0.611212	−	0.791467i	$-0.290682\pi$
$571$	29.2106			1.22242			0.611212	+	0.791467i	$0.290682\pi$
$572$	−17.8531	−	30.2021i	−0.746477	−	1.26281i
$573$	−9.28338			−0.387819
$574$	8.27171	−	1.31011i	0.345254	−	0.0546829i
$575$	0.930378	−	2.86341i	0.0387994	−	0.119412i
$576$	12.2804	−	3.99013i	0.511681	−	0.166255i
$577$	35.9901	+	5.70028i	1.49829	+	0.237306i	0.851092	−	0.525017i	$-0.175941\pi$
$577$	35.9901	+	5.70028i	1.49829	+	0.237306i	0.647197	+	0.762322i	$0.275941\pi$
$578$	−5.43310	+	34.3033i	−0.225987	+	1.42683i
$579$	3.54995	−	6.96717i	0.147531	−	0.289546i
$580$	0.677652	−	0.345281i	0.0281380	−	0.0143370i
$581$	−7.00992	−	5.09300i	−0.290820	−	0.211293i
$582$	41.0574			1.70188
$583$	−6.55823	−	7.19675i	−0.271614	−	0.298059i
$584$		−	16.3041i		−	0.674667i
$585$	1.91906	−	5.06422i	0.0793432	−	0.209380i
$586$	−8.89057	+	27.3624i	−0.367266	+	1.13033i
$587$	17.4743	−	34.2953i	0.721243	−	1.41552i	−0.180644	−	0.983549i	$-0.557818\pi$
$587$	17.4743	−	34.2953i	0.721243	−	1.41552i	0.901887	−	0.431971i	$-0.142182\pi$
$588$	15.3869	−	11.1792i	0.634543	−	0.461023i
$589$	−0.0112192	+	0.00815123i	−0.000462279	+	0.000335866i
$590$	2.38729	+	1.21639i	0.0982833	+	0.0500779i
$591$	5.02295	+	9.85809i	0.206616	+	0.405508i
$592$	−0.409345	+	0.0648339i	−0.0168240	+	0.00266466i
$593$	−25.7684	−	25.7684i	−1.05818	−	1.05818i	−0.998199	−	0.0599819i	$-0.980896\pi$
$593$	−25.7684	−	25.7684i	−1.05818	−	1.05818i	−0.0599819	−	0.998199i	$-0.519104\pi$
$594$	6.15442	−	4.04918i	0.252519	−	0.166140i
$595$		−	1.26191i		−	0.0517333i
$596$	−5.82597	−	36.7837i	−0.238641	−	1.50672i
$597$	0.889958	+	0.289165i	0.0364236	+	0.0118347i
$598$	−7.34932	+	4.81771i	−0.300536	+	0.197011i
$599$	−23.7661	+	17.2671i	−0.971056	+	0.705514i	−0.955692	−	0.294368i	$-0.904891\pi$
$599$	−23.7661	+	17.2671i	−0.971056	+	0.705514i	−0.0153641	+	0.999882i	$0.504891\pi$
$600$	−0.890416	+	5.62187i	−0.0363511	+	0.229512i
$601$	24.8727	−	8.08164i	1.01458	−	0.329657i	0.245903	−	0.969294i	$-0.420915\pi$
$601$	24.8727	−	8.08164i	1.01458	−	0.329657i	0.768677	+	0.639637i	$0.220915\pi$
$602$	0.940095	−	2.89331i	0.0383154	−	0.117923i
$603$	−0.795762	−	5.02424i	−0.0324059	−	0.204603i
$604$	46.6970	−	46.6970i	1.90007	−	1.90007i
$605$	13.9632	+	8.83255i	0.567687	+	0.359094i
$606$	−0.962008	+	0.962008i	−0.0390789	+	0.0390789i
$607$	−13.9640	+	19.2199i	−0.566783	+	0.780110i	−0.992169	−	0.124902i	$-0.960138\pi$
$607$	−13.9640	+	19.2199i	−0.566783	+	0.780110i	0.425386	+	0.905012i	$0.360138\pi$
$608$	0.873579	+	0.283843i	0.0354283	+	0.0115114i
$609$	−0.110612	−	0.0563596i	−0.00448222	−	0.00228381i
$610$	−9.22993	−	12.7039i	−0.373709	−	0.514366i
$611$	26.8269	−	33.4210i	1.08530	−	1.35207i
$612$	−3.25900	+	1.05891i	−0.131737	+	0.0428040i
$613$	−15.2088	−	29.8490i	−0.614278	−	1.20559i	−0.963288	−	0.268470i	$-0.913482\pi$
$613$	−15.2088	−	29.8490i	−0.614278	−	1.20559i	0.349010	−	0.937119i	$-0.386518\pi$
$614$	−38.2740	−	27.8077i	−1.54461	−	1.12223i
$615$	7.87302			0.317471
$616$	−0.999996	+	4.84675i	−0.0402910	+	0.195281i
$617$	−24.4288	−	24.4288i	−0.983466	−	0.983466i	0.0163994	−	0.999866i	$-0.494780\pi$
$617$	−24.4288	−	24.4288i	−0.983466	−	0.983466i	−0.999866	+	0.0163994i	$0.994780\pi$
$618$	2.34039	+	14.7767i	0.0941445	+	0.594405i
$619$	−14.8081	−	29.0626i	−0.595189	−	1.16812i	−0.970472	−	0.241214i	$-0.922454\pi$
$619$	−14.8081	−	29.0626i	−0.595189	−	1.16812i	0.375283	−	0.926910i	$-0.377546\pi$
$620$	−0.142841	−	0.439620i	−0.00573664	−	0.0176556i
$621$	−0.644949	−	0.887696i	−0.0258809	−	0.0356220i
$622$	63.2716	+	10.0212i	2.53696	+	0.401815i
$623$	3.58933	+	11.0468i	0.143804	+	0.442582i
$624$	−3.36321	+	3.05451i	−0.134636	+	0.122278i
$625$	−3.03491	−	2.20499i	−0.121397	−	0.0881997i
$626$	6.62478	−	6.62478i	0.264780	−	0.264780i
$627$	0.438010	+	0.0203331i	0.0174924	+	0.000812024i
$628$			22.8659i			0.912450i
$629$	0.379427	−	0.0600953i	0.0151287	−	0.00239616i
$630$	−2.13831	+	1.08952i	−0.0851923	+	0.0434076i
$631$	−13.7762	−	7.01931i	−0.548421	−	0.279434i	0.157746	−	0.987480i	$-0.449577\pi$
$631$	−13.7762	−	7.01931i	−0.548421	−	0.279434i	−0.706167	+	0.708045i	$0.749577\pi$
$632$	−1.72510	+	10.8919i	−0.0686209	+	0.433255i
$633$	3.84921	+	5.29798i	0.152992	+	0.210576i
$634$	5.41111	+	16.6537i	0.214903	+	0.661403i
$635$	0.852676	−	0.434460i	0.0338374	−	0.0172410i
$636$	5.06266	−	6.96815i	0.200747	−	0.276305i
$637$	−11.5996	+	20.2919i	−0.459593	+	0.803994i
$638$	−1.22613	+	0.336400i	−0.0485429	+	0.0133182i
$639$	3.86512	+	3.86512i	0.152902	+	0.152902i
$640$	−13.0540	+	17.9673i	−0.516006	+	0.710222i
$641$	21.1816	+	6.88232i	0.836623	+	0.271835i	0.695832	−	0.718204i	$-0.255036\pi$
$641$	21.1816	+	6.88232i	0.836623	+	0.271835i	0.140790	+	0.990039i	$0.455036\pi$
$642$	2.51220	−	4.93047i	0.0991486	−	0.194590i
$643$	−0.281654	−	0.0446096i	−0.0111074	−	0.00175923i	0.150878	−	0.988552i	$-0.451790\pi$
$643$	−0.281654	−	0.0446096i	−0.0111074	−	0.00175923i	−0.161986	+	0.986793i	$0.551790\pi$
$644$	2.28711	+	0.362243i	0.0901248	+	0.0142744i
$645$	1.29838	−	2.54822i	0.0511237	−	0.100336i
$646$	−0.326205	−	0.105990i	−0.0128344	−	0.00417014i
$647$	9.01277	−	12.4050i	0.354329	−	0.487692i	−0.594229	−	0.804296i	$-0.702543\pi$
$647$	9.01277	−	12.4050i	0.354329	−	0.487692i	0.948558	+	0.316604i	$0.102543\pi$
$648$	1.46681	+	1.46681i	0.0576219	+	0.0576219i
$649$	−2.07988	−	1.66379i	−0.0816426	−	0.0653095i
$650$	−5.77878	−	21.2020i	−0.226662	−	0.831610i
$651$	−0.0443491	+	0.0610413i	−0.00173818	+	0.00239240i
$652$	59.7124	−	30.4250i	2.33852	−	1.19153i
$653$	10.7937	+	33.2196i	0.422391	+	1.29999i	0.905471	+	0.424409i	$0.139518\pi$
$653$	10.7937	+	33.2196i	0.422391	+	1.29999i	−0.483080	+	0.875576i	$0.660482\pi$
$654$	−13.3178	−	18.3303i	−0.520766	−	0.716773i
$655$	1.57052	−	9.91587i	0.0613652	−	0.387445i
$656$	−5.88491	−	2.99851i	−0.229767	−	0.117072i
$657$	−7.00305	+	3.56823i	−0.273215	+	0.139210i
$658$	−18.7574	+	2.97088i	−0.731239	+	0.115817i
$659$		−	19.6222i		−	0.764374i	−0.924085	−	0.382187i	$-0.875171\pi$
$659$		−	19.6222i		−	0.764374i	0.924085	−	0.382187i	$-0.124829\pi$
$660$	−5.15620	+	13.6759i	−0.200705	+	0.532334i
$661$	−28.8858	+	28.8858i	−1.12353	+	1.12353i	−0.132323	+	0.991207i	$0.542243\pi$
$661$	−28.8858	+	28.8858i	−1.12353	+	1.12353i	−0.991207	+	0.132323i	$0.957757\pi$
$662$	19.9277	+	14.4783i	0.774512	+	0.562716i
$663$	3.11740	−	2.83126i	0.121070	−	0.109957i
$664$	−7.72166	−	23.7648i	−0.299658	−	0.922254i
$665$	−0.141081	−	0.0223451i	−0.00547090	−	0.000866506i
$666$	−0.429425	−	0.591053i	−0.0166399	−	0.0229028i
$667$	0.0585185	+	0.180101i	0.00226584	+	0.00697355i
$668$	−14.5688	−	28.5928i	−0.563683	−	1.10629i
$669$	3.94822	+	24.9281i	0.152647	+	0.963774i
$670$	12.0007	+	12.0007i	0.463629	+	0.463629i
$671$	6.43421	+	14.2223i	0.248390	+	0.549045i
$672$	4.99756			0.192785
$673$	26.6990	+	19.3980i	1.02917	+	0.747736i	0.968143	−	0.250400i	$-0.0805620\pi$
$673$	26.6990	+	19.3980i	1.02917	+	0.747736i	0.0610283	+	0.998136i	$0.480562\pi$
$674$	15.0277	+	29.4935i	0.578844	+	1.13605i
$675$	2.60962	−	0.847916i	0.100444	−	0.0326363i
$676$	−15.2133	+	34.9751i	−0.585126	+	1.34520i
$677$	20.4107	+	28.0929i	0.784447	+	1.07970i	0.994777	+	0.102069i	$0.0325461\pi$
$677$	20.4107	+	28.0929i	0.784447	+	1.07970i	−0.210330	+	0.977630i	$0.567454\pi$
$678$	−40.1377	−	20.4512i	−1.54148	−	0.785424i
$679$	12.6450	+	4.10862i	0.485272	+	0.157675i
$680$	2.13905	−	2.94415i	0.0820288	−	0.112903i
$681$	−15.0411	+	15.0411i	−0.576377	+	0.576377i
$682$	0.0853625	+	0.768023i	0.00326870	+	0.0294091i
$683$	−5.73196	+	5.73196i	−0.219327	+	0.219327i	−0.808215	−	0.588888i	$-0.799566\pi$
$683$	−5.73196	+	5.73196i	−0.219327	+	0.219327i	0.588888	+	0.808215i	$0.299566\pi$
$684$	0.0606780	+	0.383106i	0.00232008	+	0.0146484i
$685$	9.32134	−	28.6881i	0.356150	−	1.09612i
$686$	20.4876	−	6.65683i	0.782221	−	0.254159i
$687$	2.18731	−	13.8101i	0.0834511	−	0.526890i
$688$	−1.94102	+	1.41024i	−0.0740009	+	0.0537648i
$689$	−2.15624	+	10.3630i	−0.0821461	+	0.394798i
$690$	3.48165	+	1.13126i	0.132544	+	0.0430662i
$691$	−6.63853	−	41.9140i	−0.252542	−	1.59448i	−0.709309	−	0.704898i	$-0.750993\pi$
$691$	−6.63853	−	41.9140i	−0.252542	−	1.59448i	0.456767	−	0.889586i	$-0.349007\pi$
$692$		−	7.83592i		−	0.297877i
$693$	2.30067	−	0.631211i	0.0873951	−	0.0239777i
$694$	23.7125	+	23.7125i	0.900114	+	0.900114i
$695$	−0.979033	+	0.155064i	−0.0371368	+	0.00588190i
$696$	−0.162533	−	0.318989i	−0.00616079	−	0.0120912i
$697$	5.45480	+	2.77936i	0.206615	+	0.105276i
$698$	−33.9930	+	24.6973i	−1.28665	+	0.934808i
$699$	17.1808	−	12.4826i	0.649838	−	0.472135i
$700$	−2.62892	+	5.15955i	−0.0993640	+	0.195013i
$701$	10.7091	−	32.9594i	0.404479	−	1.24486i	−0.516851	−	0.856076i	$-0.672896\pi$
$701$	10.7091	−	32.9594i	0.404479	−	1.24486i	0.921329	−	0.388783i	$-0.127104\pi$
$702$	−7.48910	−	2.83795i	−0.282658	−	0.107111i
$703$		−	0.0434839i		−	0.00164003i
$704$	31.6537	−	28.8453i	1.19300	−	1.08715i
$705$	−17.8533			−0.672394
$706$	15.8553	+	11.5195i	0.596722	+	0.433544i
$707$	−0.392552	+	0.200015i	−0.0147634	+	0.00752234i
$708$	1.06965	−	2.09931i	0.0402000	−	0.0788970i
$709$	4.44410	−	28.0590i	0.166902	−	1.05378i	−0.751963	−	0.659205i	$-0.770893\pi$
$709$	4.44410	−	28.0590i	0.166902	−	1.05378i	0.918865	−	0.394572i	$-0.129107\pi$
$710$	−18.0124	−	2.85288i	−0.675992	−	0.107067i
$711$	5.05590	−	1.64276i	0.189611	−	0.0616084i
$712$	−10.3511	+	31.8574i	−0.387924	+	1.19391i
$713$	0.113678	−	0.0180048i	0.00425727	−	0.000674285i
$714$	−1.86615			−0.0698388
$715$	−1.12415	−	17.9264i	−0.0420406	−	0.670410i
$716$	−38.1412			−1.42540
$717$	4.91833	−	0.778986i	0.183678	−	0.0290918i
$718$	−7.34569	+	22.6077i	−0.274139	+	0.843712i
$719$	3.81449	−	1.23940i	0.142256	−	0.0462219i	−0.237023	−	0.971504i	$-0.576172\pi$
$719$	3.81449	−	1.23940i	0.142256	−	0.0462219i	0.379280	+	0.925282i	$0.376172\pi$
$720$	1.86936	+	0.296078i	0.0696670	+	0.0110342i
$721$	−0.757899	+	4.78519i	−0.0282256	+	0.178210i
$722$	19.1424	−	37.5690i	0.712405	−	1.39817i
$723$	−3.45327	+	1.75953i	−0.128428	+	0.0654375i
$724$	−0.554143	−	0.402608i	−0.0205946	−	0.0149628i
$725$	−0.473560			−0.0175876
$726$	13.0618	−	20.6492i	0.484769	−	0.766364i
$727$			8.34686i			0.309568i	0.987948	+	0.154784i	$0.0494681\pi$
$727$			8.34686i			0.309568i	−0.987948	+	0.154784i	$0.950532\pi$
$728$	4.90539	−	2.20932i	0.181806	−	0.0818827i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	11.9049	−	23.3647i	0.440620	−	0.864765i
$731$	1.79916	−	1.30717i	0.0665443	−	0.0483473i
$732$	−11.1714	+	8.11651i	−0.412908	+	0.299995i
$733$	18.4915	+	9.42189i	0.682999	+	0.348005i	0.760821	−	0.648962i	$-0.224797\pi$
$733$	18.4915	+	9.42189i	0.682999	+	0.348005i	−0.0778219	+	0.996967i	$0.524797\pi$
$734$	29.2664	+	57.4385i	1.08024	+	2.12009i
$735$	9.61715	−	1.52321i	0.354734	−	0.0561843i
$736$	−5.39054	−	5.39054i	−0.198698	−	0.198698i
$737$	−9.27307	−	14.0943i	−0.341578	−	0.519170i
$738$		−	11.6428i		−	0.428578i
$739$	−7.28394	−	45.9890i	−0.267944	−	1.69173i	−0.643912	−	0.765099i	$-0.722690\pi$
$739$	−7.28394	−	45.9890i	−0.267944	−	1.69173i	0.375968	−	0.926633i	$-0.377310\pi$
$740$	1.37848	+	0.447896i	0.0506741	+	0.0164650i
$741$	−0.261333	−	0.398659i	−0.00960032	−	0.0146451i
$742$	3.79477	−	2.75706i	0.139310	−	0.101215i
$743$	−7.40561	+	46.7572i	−0.271686	+	1.71535i	0.353971	+	0.935256i	$0.384831\pi$
$743$	−7.40561	+	46.7572i	−0.271686	+	1.71535i	−0.625657	+	0.780099i	$0.715169\pi$
$744$	−0.206941	+	0.0672391i	−0.00758681	+	0.00246510i
$745$	5.89185	−	18.1333i	0.215861	−	0.664351i
$746$	4.85068	+	30.6260i	0.177596	+	1.12130i
$747$	−8.51772	+	8.51772i	−0.311647	+	0.311647i
$748$	−8.40037	+	7.65505i	−0.307148	+	0.279897i
$749$	1.26711	−	1.26711i	0.0462993	−	0.0462993i
$750$	−15.1863	+	20.9021i	−0.554525	+	0.763238i
$751$	−18.5893	−	6.04004i	−0.678334	−	0.220404i	−0.0504683	−	0.998726i	$-0.516071\pi$
$751$	−18.5893	−	6.04004i	−0.678334	−	0.220404i	−0.627866	+	0.778322i	$0.716071\pi$
$752$	13.3450	+	6.79960i	0.486641	+	0.247956i
$753$	−4.05725	−	5.58432i	−0.147854	−	0.203504i
$754$	1.07790	+	0.865224i	0.0392547	+	0.0315096i
$755$	32.1547	−	10.4477i	1.17023	−	0.380230i
$756$	0.958093	+	1.88036i	0.0348455	+	0.0683881i
$757$	35.9719	+	26.1351i	1.30742	+	0.949896i	0.999999	−	0.00167769i	$-0.000534024\pi$
$757$	35.9719	+	26.1351i	1.30742	+	0.949896i	0.307421	+	0.951574i	$0.400534\pi$
$758$	−47.6388			−1.73032
$759$	−3.16243	−	1.80073i	−0.114789	−	0.0653625i
$760$	−0.291278	−	0.291278i	−0.0105658	−	0.0105658i
$761$	−3.89509	−	24.5926i	−0.141197	−	0.891483i	−0.951985	−	0.306143i	$-0.900961\pi$
$761$	−3.89509	−	24.5926i	−0.141197	−	0.891483i	0.810788	−	0.585339i	$-0.199039\pi$
$762$	−0.642491	−	1.26096i	−0.0232750	−	0.0456797i
$763$	−2.26735	−	6.97817i	−0.0820834	−	0.252627i
$764$	−16.0092	−	22.0347i	−0.579191	−	0.797188i
$765$	−1.73273	−	0.274438i	−0.0626471	−	0.00992233i
$766$	−14.3035	−	44.0217i	−0.516807	−	1.59057i
$767$	−0.139118	+	2.89216i	−0.00502325	+	0.104430i
$768$	5.67799	+	4.12530i	0.204887	+	0.148859i
$769$	31.4734	−	31.4734i	1.13496	−	1.13496i	0.145621	−	0.989341i	$-0.453482\pi$
$769$	31.4734	−	31.4734i	1.13496	−	1.13496i	0.989341	−	0.145621i	$-0.0465179\pi$
$770$	−4.97205	+	6.21550i	−0.179180	+	0.223991i
$771$			25.1746i			0.906643i
$772$	22.6589	−	3.58882i	0.815512	−	0.129164i
$773$	20.6789	−	10.5364i	0.743767	−	0.378968i	−0.0406736	−	0.999172i	$-0.512950\pi$
$773$	20.6789	−	10.5364i	0.743767	−	0.378968i	0.784440	+	0.620204i	$0.212950\pi$
$774$	−3.76837	−	1.92008i	−0.135451	−	0.0690158i
$775$	−0.0450249	+	0.284276i	−0.00161734	+	0.0102115i
$776$	22.5375	+	31.0202i	0.809049	+	1.11356i
$777$	−0.0731094	−	0.225008i	−0.00262278	−	0.00807210i
$778$	−23.0408	+	11.7399i	−0.826051	+	0.420894i
$779$	0.407322	−	0.560630i	0.0145938	−	0.0200867i
$780$	15.3297	−	4.17823i	0.548890	−	0.149605i
$781$	16.9634	+	6.39568i	0.606998	+	0.228855i
$782$	2.01289	+	2.01289i	0.0719809	+	0.0719809i
$783$	−0.101443	+	0.139625i	−0.00362528	+	0.00498977i
$784$	−7.76874	−	2.52422i	−0.277455	−	0.0901506i
$785$	−5.31459	+	10.4305i	−0.189686	+	0.372279i
$786$	−14.6638	−	2.32252i	−0.523042	−	0.0828417i
$787$	−40.4819	−	6.41171i	−1.44303	−	0.228553i	−0.614683	−	0.788774i	$-0.710716\pi$
$787$	−40.4819	−	6.41171i	−1.44303	−	0.228553i	−0.828343	+	0.560222i	$0.810716\pi$
$788$	−14.7368	+	28.9225i	−0.524976	+	1.03032i
$789$	20.9697	+	6.81347i	0.746541	+	0.242566i
$790$	−10.4252	+	14.3490i	−0.370911	+	0.510515i
$791$	−10.3152	−	10.3152i	−0.366768	−	0.366768i
$792$	6.43761	+	2.42716i	0.228751	+	0.0862454i
$793$	8.42174	−	14.7327i	0.299065	−	0.523172i
$794$	−44.0751	+	60.6642i	−1.56417	+	2.15289i
$795$	3.92893	−	2.00189i	0.139345	−	0.0709998i
$796$	0.848378	+	2.61104i	0.0300700	+	0.0925458i
$797$	4.62027	+	6.35925i	0.163658	+	0.225256i	0.882968	−	0.469433i	$-0.155542\pi$
$797$	4.62027	+	6.35925i	0.163658	+	0.225256i	−0.719310	+	0.694690i	$0.755542\pi$
$798$	−0.0330445	+	0.208635i	−0.00116976	+	0.00738559i
$799$	−12.3696	−	6.30263i	−0.437605	−	0.222971i
$800$	16.9860	−	8.65482i	0.600547	−	0.305994i
$801$	15.9490	−	2.52608i	0.563531	−	0.0892546i
$802$			55.6759i			1.96598i
$803$	−16.2837	+	20.3560i	−0.574638	+	0.718348i
$804$	10.5531	−	10.5531i	0.372179	−	0.372179i
$805$	0.959089	+	0.696819i	0.0338035	+	0.0245596i
$806$	0.621874	−	0.564793i	0.0219046	−	0.0198940i
$807$	−0.390600	−	1.20214i	−0.0137498	−	0.0423175i
$808$	−1.25490	−	0.198757i	−0.0441472	−	0.00699223i
$809$	12.2102	+	16.8058i	0.429286	+	0.590862i	0.967789	−	0.251762i	$-0.0810100\pi$
$809$	12.2102	+	16.8058i	0.429286	+	0.590862i	−0.538503	+	0.842624i	$0.681010\pi$
$810$	1.03099	+	3.17306i	0.0362253	+	0.111490i
$811$	20.1027	+	39.4537i	0.705901	+	1.38541i	0.913355	+	0.407164i	$0.133482\pi$
$811$	20.1027	+	39.4537i	0.705901	+	1.38541i	−0.207454	+	0.978245i	$0.566518\pi$
$812$	−0.0569767	−	0.359737i	−0.00199949	−	0.0126243i
$813$	−17.0461	−	17.0461i	−0.597832	−	0.597832i
$814$	−2.10563	−	1.19898i	−0.0738024	−	0.0420242i
$815$	34.3097			1.20182
$816$	1.19066	+	0.865065i	0.0416814	+	0.0302833i
$817$	−0.114282	−	0.224292i	−0.00399824	−	0.00784698i
$818$	0.0666700	−	0.0216624i	0.00233106	−	0.000757407i
$819$	−2.02253	−	1.62348i	−0.0706730	−	0.0567290i
$820$	13.5770	+	18.6871i	0.474129	+	0.652583i
$821$	2.88356	+	1.46925i	0.100637	+	0.0512771i	0.503585	−	0.863946i	$-0.332014\pi$
$821$	2.88356	+	1.46925i	0.100637	+	0.0512771i	−0.402947	+	0.915223i	$0.632014\pi$
$822$	−42.4247	−	13.7846i	−1.47973	−	0.480794i
$823$	27.9596	−	38.4831i	0.974611	−	1.34144i	0.0349278	−	0.999390i	$-0.488880\pi$
$823$	27.9596	−	38.4831i	0.974611	−	1.34144i	0.939683	−	0.342047i	$-0.111120\pi$
$824$	−9.87954	+	9.87954i	−0.344170	+	0.344170i
$825$	6.72653	−	6.12972i	0.234188	−	0.213410i
$826$	0.907297	−	0.907297i	0.0315689	−	0.0315689i
$827$	−4.21826	−	26.6330i	−0.146683	−	0.926121i	−0.945754	−	0.324884i	$-0.894675\pi$
$827$	−4.21826	−	26.6330i	−0.146683	−	0.926121i	0.799071	−	0.601237i	$-0.205325\pi$
$828$	0.994793	−	3.06166i	0.0345714	−	0.106400i
$829$	−35.8386	+	11.6447i	−1.24473	+	0.404436i	−0.856028	−	0.516929i	$-0.827075\pi$
$829$	−35.8386	+	11.6447i	−1.24473	+	0.404436i	−0.388698	+	0.921365i	$0.627075\pi$
$830$	6.28700	−	39.6945i	0.218225	−	1.37782i
$831$	15.7684	−	11.4564i	0.547001	−	0.397419i
$832$	−45.5798	−	9.48386i	−1.58020	−	0.328794i
$833$	7.20094	+	2.33973i	0.249498	+	0.0810667i
$834$	0.229312	+	1.44782i	0.00794042	+	0.0501339i
$835$		−	16.4290i		−	0.568548i
$836$	0.707085	+	1.07471i	0.0244550	+	0.0371696i
$837$	0.0741710	+	0.0741710i	0.00256373	+	0.00256373i
$838$	−33.3853	+	5.28772i	−1.15328	+	0.182661i
$839$	15.9824	+	31.3672i	0.551774	+	1.08292i	0.983499	+	0.180912i	$0.0579050\pi$
$839$	15.9824	+	31.3672i	0.551774	+	1.08292i	−0.431725	+	0.902005i	$0.642095\pi$
$840$	−1.99694	−	1.01749i	−0.0689011	−	0.0351069i
$841$	−23.4374	+	17.0283i	−0.808186	+	0.587182i
$842$	−26.8748	+	19.5257i	−0.926166	+	0.672899i
$843$	1.50725	−	2.95815i	0.0519125	−	0.101884i
$844$	−5.93716	+	18.2727i	−0.204366	+	0.628972i
$845$	−15.0687	+	12.4182i	−0.518379	+	0.427200i
$846$			26.4019i			0.907717i
$847$	6.08920	−	5.05254i	0.209227	−	0.173607i
$848$	−3.69923			−0.127032
$849$	−13.5382	−	9.83607i	−0.464629	−	0.337573i
$850$	−6.34279	+	3.23181i	−0.217556	+	0.110850i
$851$	−0.163843	+	0.321559i	−0.00561645	+	0.0110229i
$852$	−2.50873	+	15.8395i	−0.0859478	+	0.542653i
$853$	−37.4562	−	5.93249i	−1.28248	−	0.203124i	−0.522256	−	0.852789i	$-0.674909\pi$
$853$	−37.4562	−	5.93249i	−1.28248	−	0.203124i	−0.760221	+	0.649664i	$0.774909\pi$
$854$	−7.15196	+	2.32381i	−0.244735	+	0.0795192i
$855$	−0.0613642	+	0.188860i	−0.00209861	+	0.00645886i
$856$	5.10414	−	0.808417i	0.174456	−	0.0276311i
$857$	−32.4319			−1.10785			−0.553926	−	0.832566i	$-0.686871\pi$
$857$	−32.4319			−1.10785			−0.553926	+	0.832566i	$0.686871\pi$
$858$	−26.5100	+	1.66241i	−0.905038	+	0.0567539i
$859$	−22.0221			−0.751384			−0.375692	−	0.926745i	$-0.622595\pi$
$859$	−22.0221			−0.751384			−0.375692	+	0.926745i	$0.622595\pi$
$860$	8.28741	−	1.31260i	0.282598	−	0.0447592i
$861$	1.16510	−	3.58581i	0.0397065	−	0.122204i
$862$	34.2176	−	11.1180i	1.16545	−	0.378679i
$863$	9.60482	+	1.52125i	0.326952	+	0.0517841i	0.317753	−	0.948174i	$-0.397072\pi$
$863$	9.60482	+	1.52125i	0.326952	+	0.0517841i	0.00919917	+	0.999958i	$0.497072\pi$
$864$	1.08686	−	6.86216i	0.0369757	−	0.233455i
$865$	1.82126	−	3.57442i	0.0619246	−	0.121534i
$866$	−28.8105	+	14.6797i	−0.979020	+	0.498835i
$867$	12.6497	+	9.19051i	0.429605	+	0.312126i
$868$	−0.221366			−0.00751364
$869$	13.0321	−	11.8758i	0.442082	−	0.402859i
$870$		−	0.575807i		−	0.0195217i
$871$	−6.49921	+	17.1509i	−0.220217	+	0.581135i
$872$	6.53869	−	20.1240i	0.221428	−	0.681485i
$873$	8.39158	−	16.4694i	0.284012	−	0.557405i
$874$	0.260684	−	0.189398i	0.00881776	−	0.00640648i
$875$	−6.76882	+	4.91784i	−0.228828	+	0.166253i
$876$	−20.5462	−	10.4688i	−0.694190	−	0.353708i
$877$	−10.9402	−	21.4714i	−0.369426	−	0.725039i	0.629211	−	0.777234i	$-0.283378\pi$
$877$	−10.9402	−	21.4714i	−0.369426	−	0.725039i	−0.998637	+	0.0521957i	$0.983378\pi$
$878$	−25.0346	+	3.96508i	−0.844876	+	0.133815i
$879$	9.15878	+	9.15878i	0.308918	+	0.308918i
$880$	6.05355	−	1.66085i	0.204065	−	0.0559873i
$881$			14.1304i			0.476065i	0.971257	+	0.238033i	$0.0765025\pi$
$881$			14.1304i			0.476065i	−0.971257	+	0.238033i	$0.923498\pi$
$882$	−2.25256	−	14.2221i	−0.0758475	−	0.478882i
$883$	−42.3580	−	13.7630i	−1.42546	−	0.463160i	−0.508128	−	0.861281i	$-0.669662\pi$
$883$	−42.3580	−	13.7630i	−1.42546	−	0.463160i	−0.917333	+	0.398121i	$0.869662\pi$
$884$	12.0961	+	2.51686i	0.406837	+	0.0846511i
$885$	0.975861	−	0.709005i	0.0328032	−	0.0238329i
$886$	−9.97112	+	62.9552i	−0.334986	+	2.11502i
$887$	−22.2578	+	7.23200i	−0.747344	+	0.242827i	−0.657838	−	0.753160i	$-0.728529\pi$
$887$	−22.2578	+	7.23200i	−0.747344	+	0.242827i	−0.0895058	+	0.995986i	$0.528529\pi$
$888$	0.210837	−	0.648889i	0.00707521	−	0.0217753i
$889$	−0.0716927	−	0.452650i	−0.00240450	−	0.0151814i
$890$	−38.0953	+	38.0953i	−1.27696	+	1.27696i
$891$	−0.366373	−	3.29633i	−0.0122740	−	0.110431i
$892$	−52.3597	+	52.3597i	−1.75313	+	1.75313i
$893$	−0.923665	+	1.27132i	−0.0309093	+	0.0425430i
$894$	−26.8159	−	8.71302i	−0.896859	−	0.291407i
$895$	−17.3984	−	8.86492i	−0.581564	−	0.296322i
$896$	6.25150	+	8.60445i	0.208848	+	0.287455i
$897$	0.430431	+	3.93271i	0.0143717	+	0.131310i
$898$	−58.2137	+	18.9148i	−1.94262	+	0.631195i
$899$	−0.00821865	−	0.0161300i	−0.000274107	−	0.000537966i
$900$	6.51286	+	4.73187i	0.217095	+	0.157729i
$901$	3.42886			0.114232
$902$	−15.9165	−	35.1820i	−0.529960	−	1.17143i
$903$	−0.968455	−	0.968455i	−0.0322282	−	0.0322282i
$904$	−6.58112	−	41.5515i	−0.218885	−	1.38198i
$905$	−0.159201	−	0.312449i	−0.00529201	−	0.0103862i
$906$	−15.4503	−	47.5512i	−0.513302	−	1.57978i
$907$	2.19411	+	3.01993i	0.0728542	+	0.100275i	0.843889	−	0.536518i	$-0.180261\pi$
$907$	2.19411	+	3.01993i	0.0728542	+	0.100275i	−0.771035	+	0.636793i	$0.780261\pi$
$908$	−61.6395	−	9.76273i	−2.04558	−	0.323988i
$909$	0.189270	+	0.582513i	0.00627768	+	0.0193207i
$910$	8.64290	+	0.415738i	0.286509	+	0.0137816i
$911$	22.9956	+	16.7073i	0.761880	+	0.553538i	0.899486	−	0.436949i	$-0.143941\pi$
$911$	22.9956	+	16.7073i	0.761880	+	0.553538i	−0.137606	+	0.990487i	$0.543941\pi$
$912$	0.117797	−	0.117797i	0.00390066	−	0.00390066i
$913$	−14.0944	+	37.3829i	−0.466457	+	1.23719i
$914$			31.8739i			1.05429i
$915$	−6.98240	+	1.10590i	−0.230831	+	0.0365600i
$916$	36.5513	−	18.6238i	1.20769	−	0.615348i
$917$	−4.28382	−	2.18271i	−0.141464	−	0.0720796i
$918$	−0.405846	+	2.56241i	−0.0133949	+	0.0845722i
$919$	18.2611	+	25.1343i	0.602380	+	0.829105i	0.995924	−	0.0902013i	$-0.0287510\pi$
$919$	18.2611	+	25.1343i	0.602380	+	0.829105i	−0.393544	+	0.919306i	$0.628751\pi$
$920$	1.05647	+	3.25148i	0.0348307	+	0.107198i
$921$	−18.9772	+	9.66938i	−0.625321	+	0.318617i
$922$	−16.1406	+	22.2157i	−0.531563	+	0.731634i
$923$	−5.18261	−	19.0147i	−0.170588	−	0.625877i
$924$	5.46572	+	4.37227i	0.179809	+	0.143837i
$925$	−0.638160	−	0.638160i	−0.0209826	−	0.0209826i
$926$	−23.3928	+	32.1974i	−0.768735	+	1.05807i
$927$	6.40572	+	2.08135i	0.210392	+	0.0683604i
$928$	−0.544367	+	1.06838i	−0.0178697	+	0.0350713i
$929$	1.70412	+	0.269907i	0.0559105	+	0.00885535i	0.184327	−	0.982865i	$-0.440989\pi$
$929$	1.70412	+	0.269907i	0.0559105	+	0.00885535i	−0.128417	+	0.991720i	$0.540989\pi$
$930$	−0.345654	−	0.0547462i	−0.0113344	−	0.00179520i
$931$	0.389090	−	0.763633i	0.0127519	−	0.0250271i
$932$	59.2565	+	19.2536i	1.94101	+	0.630673i
$933$	16.9517	−	23.3320i	0.554974	−	0.763856i
$934$	35.9720	+	35.9720i	1.17704	+	1.17704i
$935$	−5.61111	+	1.53946i	−0.183503	+	0.0503459i
$936$	−1.96680	−	7.21608i	−0.0642869	−	0.235865i
$937$	17.9126	−	24.6546i	0.585180	−	0.805432i	−0.409071	−	0.912503i	$-0.634147\pi$
$937$	17.9126	−	24.6546i	0.585180	−	0.805432i	0.994251	+	0.107071i	$0.0341472\pi$
$938$	7.24175	−	3.68986i	0.236452	−	0.120478i
$939$	−1.30339	−	4.01142i	−0.0425345	−	0.130908i
$940$	−30.7880	−	42.3760i	−1.00419	−	1.38215i
$941$	6.84984	−	43.2482i	0.223299	−	1.40985i	−0.580166	−	0.814498i	$-0.697012\pi$
$941$	6.84984	−	43.2482i	0.223299	−	1.40985i	0.803464	−	0.595353i	$-0.202988\pi$
$942$	15.4248	+	7.85935i	0.502568	+	0.256071i
$943$	−5.12449	+	2.61106i	−0.166876	+	0.0850278i
$944$	−0.999467	+	0.158300i	−0.0325299	+	0.00515222i
$945$			1.08043i			0.0351462i
$946$	−14.0120	−	0.650459i	−0.455571	−	0.0211482i
$947$	21.0364	−	21.0364i	0.683590	−	0.683590i	−0.277217	−	0.960807i	$-0.589412\pi$
$947$	21.0364	−	21.0364i	0.683590	−	0.683590i	0.960807	+	0.277217i	$0.0894121\pi$
$948$	12.6181	+	9.16758i	0.409817	+	0.297749i
$949$	28.3058	+	1.36156i	0.918846	+	0.0441980i
$950$	0.249002	+	0.766349i	0.00807869	+	0.0248637i
$951$	7.78627	+	1.23322i	0.252487	+	0.0399900i
$952$	−1.02438	−	1.40993i	−0.0332003	−	0.0456962i
$953$	−7.95466	−	24.4819i	−0.257677	−	0.793047i	−0.993290	−	0.115646i	$-0.963106\pi$
$953$	−7.95466	−	24.4819i	−0.257677	−	0.793047i	0.735614	−	0.677401i	$-0.236894\pi$
$954$	−2.96045	−	5.81021i	−0.0958481	−	0.188112i
$955$	−2.18131	−	13.7722i	−0.0705854	−	0.445659i
$956$	10.3306	+	10.3306i	0.334116	+	0.334116i
$957$	−0.115663	+	0.560594i	−0.00373886	+	0.0181214i
$958$	80.3663			2.59652
$959$	−11.6867	−	8.49091i	−0.377384	−	0.274186i
$960$	8.80499	+	17.2808i	0.284180	+	0.557734i
$961$	29.4723	−	9.57613i	0.950719	−	0.308907i
$962$	0.286593	+	2.61851i	0.00924014	+	0.0844242i
$963$	−1.46431	−	2.01544i	−0.0471866	−	0.0649467i
$964$	−10.1315	−	5.16226i	−0.326314	−	0.166265i
$965$	11.1702	+	3.62941i	0.359580	+	0.116835i
$966$	1.03047	−	1.41833i	0.0331550	−	0.0456339i
$967$	−30.2646	+	30.2646i	−0.973245	+	0.973245i	−0.999651	−	0.0264066i	$-0.991594\pi$
$967$	−30.2646	+	30.2646i	−0.973245	+	0.973245i	0.0264066	+	0.999651i	$0.491594\pi$
$968$	22.7711	−	1.46628i	0.731891	−	0.0471280i
$969$	−0.109188	+	0.109188i	−0.00350762	+	0.00350762i
$970$	9.64721	+	60.9101i	0.309753	+	1.95571i
$971$	15.5968	−	48.0021i	0.500526	−	1.54046i	−0.307638	−	0.951503i	$-0.599539\pi$
$971$	15.5968	−	48.0021i	0.500526	−	1.54046i	0.808164	−	0.588957i	$-0.200461\pi$
$972$	2.79029	−	0.906622i	0.0894987	−	0.0290799i
$973$	−0.0742590	+	0.468853i	−0.00238063	+	0.0150307i
$974$	−27.2557	+	19.8024i	−0.873329	+	0.634511i
$975$	−9.68588	−	2.01535i	−0.310196	−	0.0645430i
$976$	5.64039	+	1.83267i	0.180544	+	0.0586625i
$977$	8.35486	+	52.7505i	0.267296	+	1.68764i	0.646968	+	0.762518i	$0.276037\pi$
$977$	8.35486	+	52.7505i	0.267296	+	1.68764i	−0.379672	+	0.925121i	$0.623963\pi$
$978$		−	50.7381i		−	1.62243i
$979$	44.7411	−	29.4366i	1.42993	−	0.940797i
$980$	20.2002	+	20.2002i	0.645271	+	0.645271i
$981$	−10.0748	+	1.59570i	−0.321665	+	0.0509467i
$982$	8.46688	+	16.6172i	0.270189	+	0.530276i
$983$	−34.5259	−	17.5918i	−1.10120	−	0.561091i	−0.193668	−	0.981067i	$-0.562039\pi$
$983$	−34.5259	−	17.5918i	−1.10120	−	0.561091i	−0.907535	+	0.419976i	$0.862039\pi$
$984$	8.79652	−	6.39105i	0.280423	−	0.203739i
$985$	−13.4446	+	9.76806i	−0.428380	+	0.311236i
$986$	0.203273	−	0.398946i	0.00647353	−	0.0127050i
$987$	−2.64204	+	8.13138i	−0.0840972	+	0.258825i
$988$	0.495574	−	1.30778i	0.0157663	−	0.0416059i
$989$			2.08922i			0.0664333i
$990$	7.45320	+	8.17886i	0.236878	+	0.259941i
$991$	0.676337			0.0214846			0.0107423	−	0.999942i	$-0.496581\pi$
$991$	0.676337			0.0214846			0.0107423	+	0.999942i	$0.496581\pi$
$992$	0.589587	+	0.428360i	0.0187194	+	0.0136004i
$993$	9.88066	−	5.03445i	0.313553	−	0.159763i
$994$	−3.96494	+	7.78164i	−0.125760	+	0.246819i
$995$	−0.219874	+	1.38823i	−0.00697047	+	0.0440098i
$996$	−34.9061	−	5.52859i	−1.10604	−	0.175180i
$997$	−48.0445	+	15.6106i	−1.52158	+	0.494392i	−0.946225	−	0.323509i	$-0.895137\pi$
$997$	−48.0445	+	15.6106i	−1.52158	+	0.494392i	−0.575358	+	0.817902i	$0.695137\pi$
$998$	−1.57726	+	4.85430i	−0.0499273	+	0.153660i
$999$	−0.324858	+	0.0514525i	−0.0102781	+	0.00162788i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.73.13	✓	112
11.8	odd	10	inner	429.2.bj.a.151.2	yes	112
13.5	odd	4	inner	429.2.bj.a.304.2	yes	112
143.96	even	20	inner	429.2.bj.a.382.13	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.73.13	✓	112	1.1	even	1	trivial
429.2.bj.a.151.2	yes	112	11.8	odd	10	inner
429.2.bj.a.304.2	yes	112	13.5	odd	4	inner
429.2.bj.a.382.13	yes	112	143.96	even	20	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(2.19389 - 0.347478i) q^{2} +(0.309017 - 0.951057i) q^{3} +(2.79029 - 0.906622i) q^{4} +(1.48353 + 0.234969i) q^{5} +(0.347478 - 2.19389i) q^{6} +(0.326561 - 0.640911i) q^{7} +(1.84829 - 0.941752i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(2.19389 - 0.347478i) q^{2} +(0.309017 - 0.951057i) q^{3} +(2.79029 - 0.906622i) q^{4} +(1.48353 + 0.234969i) q^{5} +(0.347478 - 2.19389i) q^{6} +(0.326561 - 0.640911i) q^{7} +(1.84829 - 0.941752i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.33636 q^{10} +(-3.24821 - 0.670180i) q^{11} -2.93389i q^{12} +(1.48064 + 3.28751i) q^{13} +(0.493735 - 1.51956i) q^{14} +(0.681906 - 1.33832i) q^{15} +(-1.01942 + 0.740652i) q^{16} +(0.944913 - 0.686520i) q^{17} +(-1.97914 - 1.00842i) q^{18} +(-0.0600208 - 0.117797i) q^{19} +(4.35253 - 0.689372i) q^{20} +(-0.508630 - 0.508630i) q^{21} +(-7.35908 - 0.341619i) q^{22} +1.09725i q^{23} +(-0.324506 - 2.04885i) q^{24} +(-2.60962 - 0.847916i) q^{25} +(4.39070 + 6.69793i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(0.330136 - 2.08440i) q^{28} +(0.164139 - 0.0533318i) q^{29} +(1.03099 - 3.17306i) q^{30} +(-0.0164090 - 0.103602i) q^{31} +(-4.91276 + 4.91276i) q^{32} +(-1.64113 + 2.88213i) q^{33} +(1.83448 - 1.83448i) q^{34} +(0.635058 - 0.874083i) q^{35} +(-2.79029 - 0.906622i) q^{36} +(0.293059 + 0.149321i) q^{37} +(-0.172611 - 0.237579i) q^{38} +(3.58415 - 0.392281i) q^{39} +(2.96329 - 0.962831i) q^{40} +(2.37963 + 4.67030i) q^{41} +(-1.29262 - 0.939140i) q^{42} +1.90405 q^{43} +(-9.67106 + 1.07490i) q^{44} +(-1.06209 - 1.06209i) q^{45} +(0.381271 + 2.40725i) q^{46} +(-5.39619 - 10.5906i) q^{47} +(0.389384 + 1.19840i) q^{48} +(3.81037 + 5.24453i) q^{49} +(-6.01984 - 0.953450i) q^{50} +(-0.360925 - 1.11081i) q^{51} +(7.11196 + 7.83072i) q^{52} +(2.37506 + 1.72558i) q^{53} +(-1.57065 + 1.57065i) q^{54} +(-4.66136 - 1.75746i) q^{55} -1.49213i q^{56} +(-0.130580 + 0.0206818i) q^{57} +(0.341570 - 0.174039i) q^{58} +(0.715539 + 0.364585i) q^{59} +(0.689372 - 4.35253i) q^{60} +(-2.76647 - 3.80772i) q^{61} +(-0.0719990 - 0.221590i) q^{62} +(-0.640911 + 0.326561i) q^{63} +(-7.58967 + 10.4463i) q^{64} +(1.42413 + 5.22503i) q^{65} +(-2.59898 + 6.89334i) q^{66} +(3.59696 + 3.59696i) q^{67} +(2.01417 - 2.77227i) q^{68} +(1.04355 + 0.339070i) q^{69} +(1.08952 - 2.13831i) q^{70} +(-5.39881 - 0.855088i) q^{71} +(-2.04885 - 0.324506i) q^{72} +(3.56823 - 7.00305i) q^{73} +(0.694824 + 0.225762i) q^{74} +(-1.61283 + 2.21987i) q^{75} +(-0.274274 - 0.274274i) q^{76} +(-1.49026 + 1.86296i) q^{77} +(7.72691 - 2.10603i) q^{78} +(-3.12472 + 4.30081i) q^{79} +(-1.68638 + 0.859251i) q^{80} +(0.309017 + 0.951057i) q^{81} +(6.84348 + 9.41924i) q^{82} +(1.88439 - 11.8976i) q^{83} +(-1.88036 - 0.958093i) q^{84} +(1.56312 - 0.796450i) q^{85} +(4.17727 - 0.661614i) q^{86} -0.172585i q^{87} +(-6.63479 + 1.82032i) q^{88} +(-11.4182 + 11.4182i) q^{89} +(-2.69917 - 1.96106i) q^{90} +(2.59052 + 0.124608i) q^{91} +(0.994793 + 3.06166i) q^{92} +(-0.103602 - 0.0164090i) q^{93} +(-15.5187 - 21.3596i) q^{94} +(-0.0613642 - 0.188860i) q^{95} +(3.15419 + 6.19044i) q^{96} +(2.89154 + 18.2565i) q^{97} +(10.1819 + 10.1819i) q^{98} +(2.23393 + 2.45144i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Introduction

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