LMFDB - Embedded newform 538.2.e.a.191.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [538,2,Mod(9,538)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(538, base_ring=CyclotomicField(134))

chi = DirichletCharacter(H, H._module([109]))

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

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

chi := DirichletCharacter("538.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 538 = 2 \cdot 269 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	538.e (of order $134$, degree $66$, 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:	$4.29595162874$
Analytic rank:	$0$
Dimension:	$1452$
Relative dimension:	$22$ over $\Q(\zeta_{134})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{134}]$

Embedding invariants

Embedding label			191.7
Character	$\chi$	$=$	538.191
Dual form			538.2.e.a.369.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.186460 - 0.982463i) q^{2} +(0.932902 - 0.0218756i) q^{3} +(-0.930465 + 0.366380i) q^{4} +(0.272992 - 1.03498i) q^{5} +(-0.195441 - 0.912462i) q^{6} +(1.94716 + 4.33687i) q^{7} +(0.533449 + 0.845832i) q^{8} +(-2.12688 + 0.0998012i) q^{9} +(-1.06773 - 0.0752222i) q^{10} +(3.06032 + 3.44186i) q^{11} +(-0.860018 + 0.362151i) q^{12} +(-0.431746 + 6.12837i) q^{13} +(3.89774 - 2.72167i) q^{14} +(0.232034 - 0.971508i) q^{15} +(0.731531 - 0.681808i) q^{16} +(-3.31022 - 2.94328i) q^{17} +(0.494628 + 2.07097i) q^{18} +(1.25311 + 0.831998i) q^{19} +(0.125187 + 1.06303i) q^{20} +(1.91138 + 4.00328i) q^{21} +(2.81087 - 3.64842i) q^{22} +(-0.0343154 - 1.46340i) q^{23} +(0.516159 + 0.777409i) q^{24} +(3.35287 + 1.90100i) q^{25} +(6.10139 - 0.718522i) q^{26} +(-4.77454 + 0.336368i) q^{27} +(-3.40071 - 3.32190i) q^{28} +(-4.24660 - 7.48990i) q^{29} +(-0.997735 - 0.0468175i) q^{30} +(3.16377 + 0.372577i) q^{31} +(-0.806252 - 0.591572i) q^{32} +(2.93027 + 3.14397i) q^{33} +(-2.27443 + 3.80097i) q^{34} +(5.02014 - 0.831347i) q^{35} +(1.94242 - 0.872106i) q^{36} +(3.72916 - 6.95224i) q^{37} +(0.583753 - 1.38627i) q^{38} +(-0.268714 + 5.72661i) q^{39} +(1.02105 - 0.321204i) q^{40} +(-1.94072 - 0.368327i) q^{41} +(3.57667 - 2.62431i) q^{42} +(2.13675 - 1.21149i) q^{43} +(-4.10855 - 2.08129i) q^{44} +(-0.477329 + 2.22852i) q^{45} +(-1.43134 + 0.306580i) q^{46} +(9.96111 + 2.87878i) q^{47} +(0.667532 - 0.652062i) q^{48} +(-10.3657 + 11.6580i) q^{49} +(1.24249 - 3.64853i) q^{50} +(-3.15250 - 2.67337i) q^{51} +(-1.84359 - 5.86041i) q^{52} +(-5.13924 - 7.00425i) q^{53} +(1.22073 + 4.62808i) q^{54} +(4.39771 - 2.22777i) q^{55} +(-2.62955 + 3.96047i) q^{56} +(1.18723 + 0.748760i) q^{57} +(-6.56672 + 5.56869i) q^{58} +(1.32468 + 3.36419i) q^{59} +(0.140041 + 0.988967i) q^{60} +(5.85153 + 7.23759i) q^{61} +(-0.223874 - 3.17776i) q^{62} +(-4.57420 - 9.02965i) q^{63} +(-0.430864 + 0.902417i) q^{64} +(6.22488 + 2.11985i) q^{65} +(2.54246 - 3.46511i) q^{66} +(-2.45499 - 0.966678i) q^{67} +(4.15841 + 1.52582i) q^{68} +(-0.0640257 - 1.36446i) q^{69} +(-1.75282 - 4.77708i) q^{70} +(3.25584 - 4.66274i) q^{71} +(-1.21900 - 1.74574i) q^{72} +(3.48246 - 9.49098i) q^{73} +(-7.52566 - 2.36744i) q^{74} +(3.16948 + 1.70010i) q^{75} +(-1.47080 - 0.315032i) q^{76} +(-8.96795 + 19.9741i) q^{77} +(5.67628 - 0.803782i) q^{78} +(-2.89338 - 2.22917i) q^{79} +(-0.505956 - 0.943250i) q^{80} +(1.91277 - 0.179905i) q^{81} +1.97537i q^{82} +(-1.59052 - 16.9106i) q^{83} +(-3.24520 - 3.02462i) q^{84} +(-3.94990 + 2.62253i) q^{85} +(-1.58866 - 1.87338i) q^{86} +(-4.12551 - 6.89444i) q^{87} +(-1.27871 + 4.42457i) q^{88} +(1.09384 + 6.60521i) q^{89} +(2.27844 + 0.0534272i) q^{90} +(-27.4186 + 10.0605i) q^{91} +(0.568091 + 1.34907i) q^{92} +(2.95964 + 0.278368i) q^{93} +(0.970945 - 10.3232i) q^{94} +(1.20319 - 1.06981i) q^{95} +(-0.765095 - 0.534241i) q^{96} +(0.866403 - 1.07163i) q^{97} +(13.3863 + 8.01013i) q^{98} +(-6.85242 - 7.01499i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1452 q + 22 q^{4} - 2 q^{5} + 2 q^{6} + 20 q^{9} + 2 q^{11} - 10 q^{13} + 12 q^{14} - 22 q^{16} + 2 q^{20} + 12 q^{21} - 4 q^{23} - 2 q^{24} - 24 q^{25} - 8 q^{30} - 12 q^{34} - 20 q^{36} - 396 q^{37} - 2 q^{38}+ \cdots + 18 q^{99}+O(q^{100}) $ 1452 * q + 22 * q^4 - 2 * q^5 + 2 * q^6 + 20 * q^9 + 2 * q^11 - 10 * q^13 + 12 * q^14 - 22 * q^16 + 2 * q^20 + 12 * q^21 - 4 * q^23 - 2 * q^24 - 24 * q^25 - 8 * q^30 - 12 * q^34 - 20 * q^36 - 396 * q^37 - 2 * q^38 + 24 * q^41 + 14 * q^43 - 2 * q^44 - 42 * q^45 - 402 * q^47 + 22 * q^49 + 12 * q^51 + 10 * q^52 - 10 * q^53 - 8 * q^54 - 4 * q^55 - 12 * q^56 + 16 * q^57 - 18 * q^58 - 268 * q^60 - 2 * q^61 + 4 * q^62 + 22 * q^64 + 16 * q^65 + 40 * q^66 + 6 * q^67 - 106 * q^73 + 40 * q^78 + 40 * q^79 - 2 * q^80 - 14 * q^81 - 402 * q^83 - 12 * q^84 - 100 * q^87 + 4 * q^92 - 340 * q^93 + 2 * q^96 - 64 * q^97 + 18 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/538\mathbb{Z}\right)^\times$.

$n$	$271$
$\chi(n)$	$e\left(\frac{59}{134}\right)$

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 $

$2$	−0.186460	−	0.982463i	−0.131847	−	0.694706i
$2$	−0.186460	−	0.982463i	−0.131847	−	0.694706i
$3$	0.932902	−	0.0218756i	0.538611	−	0.0126299i	0.246730	−	0.969084i	$-0.420644\pi$
$3$	0.932902	−	0.0218756i	0.538611	−	0.0126299i	0.291881	+	0.956454i	$0.405719\pi$
$4$	−0.930465	+	0.366380i	−0.465233	+	0.183190i
$5$	0.272992	−	1.03498i	0.122086	−	0.462858i	−0.877783	−	0.479059i	$-0.840978\pi$
$5$	0.272992	−	1.03498i	0.122086	−	0.462858i	0.999869	+	0.0162011i	$0.00515719\pi$
$6$	−0.195441	−	0.912462i	−0.0797884	−	0.372511i
$7$	1.94716	+	4.33687i	0.735959	+	1.63918i	0.768612	+	0.639715i	$0.220948\pi$
$7$	1.94716	+	4.33687i	0.735959	+	1.63918i	−0.0326530	+	0.999467i	$0.510396\pi$
$8$	0.533449	+	0.845832i	0.188603	+	0.299047i
$9$	−2.12688	+	0.0998012i	−0.708959	+	0.0332671i
$10$	−1.06773	−	0.0752222i	−0.337647	−	0.0237873i
$11$	3.06032	+	3.44186i	0.922721	+	1.03776i	0.999172	+	0.0406867i	$0.0129546\pi$
$11$	3.06032	+	3.44186i	0.922721	+	1.03776i	−0.0764510	+	0.997073i	$0.524359\pi$
$12$	−0.860018	+	0.362151i	−0.248266	+	0.104544i
$13$	−0.431746	+	6.12837i	−0.119745	+	1.69970i	0.462443	+	0.886649i	$0.346973\pi$
$13$	−0.431746	+	6.12837i	−0.119745	+	1.69970i	−0.582188	+	0.813054i	$0.697803\pi$
$14$	3.89774	−	2.72167i	1.04172	−	0.727397i
$15$	0.232034	−	0.971508i	0.0599110	−	0.250842i
$16$	0.731531	−	0.681808i	0.182883	−	0.170452i
$17$	−3.31022	−	2.94328i	−0.802847	−	0.713849i	0.159047	−	0.987271i	$-0.449158\pi$
$17$	−3.31022	−	2.94328i	−0.802847	−	0.713849i	−0.961894	+	0.273422i	$0.911844\pi$
$18$	0.494628	+	2.07097i	0.116585	+	0.488132i
$19$	1.25311	+	0.831998i	0.287483	+	0.190873i	0.688577	−	0.725163i	$-0.258236\pi$
$19$	1.25311	+	0.831998i	0.287483	+	0.190873i	−0.401094	+	0.916037i	$0.631370\pi$
$20$	0.125187	+	1.06303i	0.0279926	+	0.237701i
$21$	1.91138	+	4.00328i	0.417098	+	0.873586i
$22$	2.81087	−	3.64842i	0.599280	−	0.777845i
$23$	−0.0343154	−	1.46340i	−0.00715525	−	0.305141i	−0.991592	−	0.129402i	$-0.958694\pi$
$23$	−0.0343154	−	1.46340i	−0.00715525	−	0.305141i	0.984437	−	0.175738i	$-0.0562312\pi$
$24$	0.516159	+	0.777409i	0.105360	+	0.158688i
$25$	3.35287	+	1.90100i	0.670574	+	0.380200i
$26$	6.10139	−	0.718522i	1.19658	−	0.140914i
$27$	−4.77454	+	0.336368i	−0.918860	+	0.0647340i
$28$	−3.40071	−	3.32190i	−0.642674	−	0.627781i
$29$	−4.24660	−	7.48990i	−0.788574	−	1.39084i	−0.916904	−	0.399108i	$-0.869320\pi$
$29$	−4.24660	−	7.48990i	−0.788574	−	1.39084i	0.128330	−	0.991731i	$-0.459038\pi$
$30$	−0.997735	−	0.0468175i	−0.182161	−	0.00854768i
$31$	3.16377	+	0.372577i	0.568231	+	0.0669168i	0.396183	−	0.918172i	$-0.370335\pi$
$31$	3.16377	+	0.372577i	0.568231	+	0.0669168i	0.172048	+	0.985089i	$0.444962\pi$
$32$	−0.806252	−	0.591572i	−0.142527	−	0.104576i
$33$	2.93027	+	3.14397i	0.510094	+	0.547295i
$34$	−2.27443	+	3.80097i	−0.390062	+	0.651862i
$35$	5.02014	−	0.831347i	0.848558	−	0.140523i
$36$	1.94242	−	0.872106i	0.323736	−	0.145351i
$37$	3.72916	−	6.95224i	0.613070	−	1.14294i	−0.364276	−	0.931291i	$-0.618683\pi$
$37$	3.72916	−	6.95224i	0.613070	−	1.14294i	0.977345	−	0.211650i	$-0.0678838\pi$
$38$	0.583753	−	1.38627i	0.0946972	−	0.224882i
$39$	−0.268714	+	5.72661i	−0.0430287	+	0.916991i
$40$	1.02105	−	0.321204i	0.161442	−	0.0507869i
$41$	−1.94072	−	0.368327i	−0.303090	−	0.0575230i	0.0326835	−	0.999466i	$-0.489595\pi$
$41$	−1.94072	−	0.368327i	−0.303090	−	0.0575230i	−0.335773	+	0.941943i	$0.608998\pi$
$42$	3.57667	−	2.62431i	0.551892	−	0.404941i
$43$	2.13675	−	1.21149i	0.325851	−	0.184750i	−0.321564	−	0.946888i	$-0.604208\pi$
$43$	2.13675	−	1.21149i	0.325851	−	0.184750i	0.647415	+	0.762138i	$0.275850\pi$
$44$	−4.10855	−	2.08129i	−0.619387	−	0.313767i
$45$	−0.477329	+	2.22852i	−0.0711559	+	0.332208i
$46$	−1.43134	+	0.306580i	−0.211040	+	0.0452027i
$47$	9.96111	+	2.87878i	1.45298	+	0.419913i	0.908153	−	0.418638i	$-0.137492\pi$
$47$	9.96111	+	2.87878i	1.45298	+	0.419913i	0.544823	+	0.838551i	$0.316597\pi$
$48$	0.667532	−	0.652062i	0.0963499	−	0.0941171i
$49$	−10.3657	+	11.6580i	−1.48081	+	1.66543i
$50$	1.24249	−	3.64853i	0.175714	−	0.515980i
$51$	−3.15250	−	2.67337i	−0.441438	−	0.374347i
$52$	−1.84359	−	5.86041i	−0.255659	−	0.812693i
$53$	−5.13924	−	7.00425i	−0.705928	−	0.962108i	−0.999980	−	0.00631824i	$-0.997989\pi$
$53$	−5.13924	−	7.00425i	−0.705928	−	0.962108i	0.294052	−	0.955790i	$-0.404996\pi$
$54$	1.22073	+	4.62808i	0.166120	+	0.629802i
$55$	4.39771	−	2.22777i	0.592986	−	0.300393i
$56$	−2.62955	+	3.96047i	−0.351388	+	0.529240i
$57$	1.18723	+	0.748760i	0.157252	+	0.0991757i
$58$	−6.56672	+	5.56869i	−0.862253	+	0.731205i
$59$	1.32468	+	3.36419i	0.172459	+	0.437980i	0.990557	−	0.137098i	$-0.0437776\pi$
$59$	1.32468	+	3.36419i	0.172459	+	0.437980i	−0.818098	+	0.575078i	$0.804972\pi$
$60$	0.140041	+	0.988967i	0.0180792	+	0.127675i
$61$	5.85153	+	7.23759i	0.749211	+	0.926679i	0.999135	−	0.0415867i	$-0.0132413\pi$
$61$	5.85153	+	7.23759i	0.749211	+	0.926679i	−0.249923	+	0.968266i	$0.580405\pi$
$62$	−0.223874	−	3.17776i	−0.0284321	−	0.403576i
$63$	−4.57420	−	9.02965i	−0.576295	−	1.13763i
$64$	−0.430864	+	0.902417i	−0.0538580	+	0.112802i
$65$	6.22488	+	2.11985i	0.772101	+	0.262935i
$66$	2.54246	−	3.46511i	0.312955	−	0.426525i
$67$	−2.45499	−	0.966678i	−0.299925	−	0.118098i	0.211628	−	0.977350i	$-0.432124\pi$
$67$	−2.45499	−	0.966678i	−0.299925	−	0.118098i	−0.511553	+	0.859252i	$0.670930\pi$
$68$	4.15841	+	1.52582i	0.504281	+	0.185032i
$69$	−0.0640257	−	1.36446i	−0.00770779	−	0.164262i
$70$	−1.75282	−	4.77708i	−0.209502	−	0.570971i
$71$	3.25584	−	4.66274i	0.386397	−	0.553365i	−0.578605	−	0.815608i	$-0.696403\pi$
$71$	3.25584	−	4.66274i	0.386397	−	0.553365i	0.965002	+	0.262243i	$0.0844622\pi$
$72$	−1.21900	−	1.74574i	−0.143660	−	0.205738i
$73$	3.48246	−	9.49098i	0.407591	−	1.11084i	−0.553075	−	0.833131i	$-0.686546\pi$
$73$	3.48246	−	9.49098i	0.407591	−	1.11084i	0.960667	−	0.277704i	$-0.0895735\pi$
$74$	−7.52566	−	2.36744i	−0.874840	−	0.275210i
$75$	3.16948	+	1.70010i	0.365980	+	0.196311i
$76$	−1.47080	−	0.315032i	−0.168712	−	0.0361366i
$77$	−8.96795	+	19.9741i	−1.02199	+	2.27626i
$78$	5.67628	−	0.803782i	0.642712	−	0.0910104i
$79$	−2.89338	−	2.22917i	−0.325531	−	0.250801i	0.434523	−	0.900661i	$-0.356917\pi$
$79$	−2.89338	−	2.22917i	−0.325531	−	0.250801i	−0.760054	+	0.649860i	$0.774827\pi$
$80$	−0.505956	−	0.943250i	−0.0565676	−	0.105459i
$81$	1.91277	−	0.179905i	0.212530	−	0.0199894i
$82$			1.97537i			0.218143i
$83$	−1.59052	−	16.9106i	−0.174582	−	1.85618i	−0.447685	−	0.894191i	$-0.647752\pi$
$83$	−1.59052	−	16.9106i	−0.174582	−	1.85618i	0.273103	−	0.961985i	$-0.411950\pi$
$84$	−3.24520	−	3.02462i	−0.354080	−	0.330013i
$85$	−3.94990	+	2.62253i	−0.428427	+	0.284453i
$86$	−1.58866	−	1.87338i	−0.171310	−	0.202012i
$87$	−4.12551	−	6.89444i	−0.442301	−	0.739162i
$88$	−1.27871	+	4.42457i	−0.136311	+	0.471661i
$89$	1.09384	+	6.60521i	0.115947	+	0.700151i	0.980337	+	0.197330i	$0.0632269\pi$
$89$	1.09384	+	6.60521i	0.115947	+	0.700151i	−0.864391	+	0.502821i	$0.832295\pi$
$90$	2.27844	+	0.0534272i	0.240169	+	0.00563172i
$91$	−27.4186	+	10.0605i	−2.87425	+	1.05463i
$92$	0.568091	+	1.34907i	0.0592276	+	0.140651i
$93$	2.95964	+	0.278368i	0.306900	+	0.0288654i
$94$	0.970945	−	10.3232i	0.100145	−	1.06476i
$95$	1.20319	−	1.06981i	0.123445	−	0.109761i
$96$	−0.765095	−	0.534241i	−0.0780872	−	0.0545258i
$97$	0.866403	−	1.07163i	0.0879699	−	0.108808i	−0.731747	−	0.681576i	$-0.761295\pi$
$97$	0.866403	−	1.07163i	0.0879699	−	0.108808i	0.819717	+	0.572769i	$0.194131\pi$
$98$	13.3863	+	8.01013i	1.35222	+	0.809145i
$99$	−6.85242	−	7.01499i	−0.688694	−	0.705033i
$100$	−3.81622	−	0.540390i	−0.381622	−	0.0540390i
$101$	0.190024	−	0.301300i	0.0189081	−	0.0299804i	−0.836245	−	0.548356i	$-0.815254\pi$
$101$	0.190024	−	0.301300i	0.0189081	−	0.0299804i	0.855153	+	0.518375i	$0.173463\pi$
$102$	−2.03867	+	3.59569i	−0.201859	+	0.356026i
$103$	−9.84377	+	2.84487i	−0.969935	+	0.280313i	−0.724634	−	0.689134i	$-0.757991\pi$
$103$	−9.84377	+	2.84487i	−0.969935	+	0.280313i	−0.245301	+	0.969447i	$0.578887\pi$
$104$	−5.41388	+	2.90399i	−0.530875	+	0.284759i
$105$	4.66511	−	0.885384i	0.455268	−	0.0864046i
$106$	−5.92315	+	6.35512i	−0.575307	+	0.617264i
$107$	4.67106	+	16.1627i	0.451568	+	1.56251i	0.784852	+	0.619683i	$0.212739\pi$
$107$	4.67106	+	16.1627i	0.451568	+	1.56251i	−0.333284	+	0.942827i	$0.608157\pi$
$108$	4.31930	−	2.06227i	0.415625	−	0.198442i
$109$	8.93175	−	7.22124i	0.855507	−	0.691669i	−0.0972974	−	0.995255i	$-0.531020\pi$
$109$	8.93175	−	7.22124i	0.855507	−	0.691669i	0.952804	+	0.303586i	$0.0981840\pi$
$110$	−3.00870	−	3.90519i	−0.286868	−	0.372345i
$111$	3.32685	−	6.56734i	0.315771	−	0.623344i
$112$	4.38132	+	1.84496i	0.413996	+	0.174333i
$113$	3.73940	+	10.9807i	0.351773	+	1.03297i	0.969185	+	0.246334i	$0.0792262\pi$
$113$	3.73940	+	10.9807i	0.351773	+	1.03297i	−0.617411	+	0.786640i	$0.711819\pi$
$114$	0.514258	−	1.30602i	0.0481647	−	0.122320i
$115$	−1.52396	−	0.363982i	−0.142110	−	0.0339415i
$116$	6.69546	+	5.41322i	0.621658	+	0.502605i
$117$	0.306651	−	13.0774i	0.0283499	−	1.20900i
$118$	3.05819	−	1.92874i	0.281529	−	0.177555i
$119$	6.31904	−	20.0870i	0.579266	−	1.84138i
$120$	0.945511	−	0.321988i	0.0863129	−	0.0293934i
$121$	−1.19434	+	10.1419i	−0.108577	+	0.921989i
$122$	6.01959	−	7.09843i	0.544988	−	0.642662i
$123$	−1.81856	−	0.301158i	−0.163974	−	0.0271545i
$124$	−3.08029	+	0.812474i	−0.276618	+	0.0729623i
$125$	6.62255	−	6.77966i	0.592339	−	0.606391i
$126$	−8.01839	+	6.17765i	−0.714335	+	0.550349i
$127$	−4.53235	−	2.03493i	−0.402181	−	0.180571i	0.198425	−	0.980116i	$-0.436417\pi$
$127$	−4.53235	−	2.03493i	−0.402181	−	0.180571i	−0.600606	+	0.799545i	$0.705074\pi$
$128$	0.966930	+	0.255043i	0.0854653	+	0.0225428i
$129$	1.96687	−	1.17694i	0.173174	−	0.103624i
$130$	0.921978	−	6.51098i	0.0808628	−	0.571051i
$131$	−2.06781	+	0.493874i	−0.180665	+	0.0431499i	−0.321634	−	0.946864i	$-0.604232\pi$
$131$	−2.06781	+	0.493874i	−0.180665	+	0.0431499i	0.140969	+	0.990014i	$0.454978\pi$
$132$	−3.87840	−	1.85176i	−0.337572	−	0.161175i
$133$	−1.16826	+	7.05460i	−0.101301	+	0.611711i
$134$	−0.491967	+	2.59218i	−0.0424994	+	0.223931i
$135$	−0.955278	+	5.03338i	−0.0822172	+	0.433204i
$136$	0.723680	−	4.36998i	0.0620550	−	0.374723i
$137$	−7.71298	−	3.68260i	−0.658964	−	0.314626i	0.0716364	−	0.997431i	$-0.477178\pi$
$137$	−7.71298	−	3.68260i	−0.658964	−	0.314626i	−0.730601	+	0.682805i	$0.760760\pi$
$138$	−1.32859	+	0.317320i	−0.113097	+	0.0270121i
$139$	0.332767	−	2.34999i	0.0282249	−	0.199323i	−0.970982	−	0.239155i	$-0.923130\pi$
$139$	0.332767	−	2.34999i	0.0282249	−	0.199323i	0.999206	+	0.0398311i	$0.0126820\pi$
$140$	−4.36647	+	2.61282i	−0.369034	+	0.220823i
$141$	9.35571	+	2.46771i	0.787893	+	0.207819i
$142$	−5.18805	−	2.32933i	−0.435371	−	0.195473i
$143$	−22.4143	+	17.2687i	−1.87437	+	1.44409i
$144$	−1.48783	+	1.52313i	−0.123986	+	0.126927i
$145$	−8.91119	+	2.35047i	−0.740034	+	0.195196i
$146$	−9.97387	−	1.65170i	−0.825444	−	0.136696i
$147$	−9.41512	+	11.1025i	−0.776546	+	0.915720i
$148$	−0.922690	+	7.83511i	−0.0758447	+	0.644042i
$149$	−2.85259	+	0.971431i	−0.233693	+	0.0795827i	−0.436746	−	0.899585i	$-0.643869\pi$
$149$	−2.85259	+	0.971431i	−0.233693	+	0.0795827i	0.203053	+	0.979168i	$0.434914\pi$
$150$	1.07930	−	3.43090i	0.0881247	−	0.280132i
$151$	0.626032	−	0.394826i	0.0509458	−	0.0321305i	−0.507734	−	0.861514i	$-0.669517\pi$
$151$	0.626032	−	0.394826i	0.0509458	−	0.0321305i	0.558680	+	0.829383i	$0.311308\pi$
$152$	−0.0352614	+	1.50375i	−0.00286008	+	0.121970i
$153$	7.33418	+	5.92962i	0.592933	+	0.479381i
$154$	21.2959	+	5.08631i	1.71608	+	0.409866i
$155$	1.24930	−	3.17274i	0.100346	−	0.254840i
$156$	−1.84809	−	5.42686i	−0.147965	−	0.434497i
$157$	−6.54979	−	2.75810i	−0.522730	−	0.220120i	0.110794	−	0.993843i	$-0.464661\pi$
$157$	−6.54979	−	2.75810i	−0.522730	−	0.220120i	−0.633524	+	0.773723i	$0.718392\pi$
$158$	−1.65057	+	3.25829i	−0.131312	+	0.259216i
$159$	−4.94762	−	6.42185i	−0.392372	−	0.509286i
$160$	−0.832367	+	0.672961i	−0.0658044	+	0.0532022i
$161$	6.27977	−	2.99831i	0.494915	−	0.236300i
$162$	−0.533404	−	1.84568i	−0.0419082	−	0.145010i
$163$	−5.62170	+	6.03168i	−0.440325	+	0.472438i	−0.912506	−	0.409064i	$-0.865855\pi$
$163$	−5.62170	+	6.03168i	−0.440325	+	0.472438i	0.472180	+	0.881502i	$0.343467\pi$
$164$	1.94072	−	0.368327i	0.151545	−	0.0287615i
$165$	4.05389	−	2.17449i	0.315595	−	0.169284i
$166$	−16.3174	+	4.71577i	−1.26648	+	0.366015i
$167$	1.24585	−	2.19736i	0.0964070	−	0.170037i	−0.817538	−	0.575874i	$-0.804662\pi$
$167$	1.24585	−	2.19736i	0.0964070	−	0.170037i	0.913945	+	0.405837i	$0.133020\pi$
$168$	−2.36647	+	3.75225i	−0.182577	+	0.289493i
$169$	−24.4989	−	3.46913i	−1.88453	−	0.266856i
$170$	3.31303	+	3.39163i	0.254098	+	0.260126i
$171$	−2.74824	−	1.64450i	−0.210163	−	0.125758i
$172$	−1.54431	+	1.91011i	−0.117752	+	0.145644i
$173$	9.24875	+	6.45811i	0.703169	+	0.491001i	0.868785	−	0.495190i	$-0.164901\pi$
$173$	9.24875	+	6.45811i	0.703169	+	0.491001i	−0.165616	+	0.986190i	$0.552961\pi$
$174$	−6.00429	+	5.33869i	−0.455184	+	0.404725i
$175$	−1.71580	+	18.2425i	−0.129702	+	1.37900i
$176$	4.58541	+	0.431279i	0.345638	+	0.0325089i
$177$	1.30939	+	3.10948i	0.0984200	+	0.233723i
$178$	6.28541	−	2.30626i	0.471112	−	0.172862i
$179$	−4.84458	−	0.113601i	−0.362101	−	0.00849092i	−0.157996	−	0.987440i	$-0.550503\pi$
$179$	−4.84458	−	0.113601i	−0.362101	−	0.00849092i	−0.204106	+	0.978949i	$0.565429\pi$
$180$	−0.372348	−	2.24845i	−0.0277532	−	0.167589i
$181$	−4.40255	+	15.2336i	−0.327239	+	1.13231i	0.612516	+	0.790458i	$0.290158\pi$
$181$	−4.40255	+	15.2336i	−0.327239	+	1.13231i	−0.939755	+	0.341849i	$0.888947\pi$
$182$	14.9966	+	25.0619i	1.11162	+	1.85771i
$183$	5.61723	+	6.62396i	0.415237	+	0.489657i
$184$	1.21949	−	0.809676i	0.0899018	−	0.0596901i
$185$	−6.17741	−	5.75752i	−0.454172	−	0.423301i
$186$	−0.278368	−	2.95964i	−0.0204110	−	0.217011i
$187$		−	20.4007i		−	1.49185i
$188$	−10.3232	+	0.970945i	−0.752896	+	0.0708135i
$189$	−10.7556	−	20.0516i	−0.782354	−	1.45854i
$190$	−1.27540	−	0.982613i	−0.0925272	−	0.0712862i
$191$	−18.1546	+	2.57075i	−1.31362	+	0.186013i	−0.761724	−	0.647901i	$-0.775647\pi$
$191$	−18.1546	+	2.57075i	−1.31362	+	0.186013i	−0.551894	+	0.833914i	$0.686095\pi$
$192$	−0.382213	+	0.851292i	−0.0275838	+	0.0614367i
$193$	11.4085	+	2.44359i	0.821199	+	0.175893i	0.600680	−	0.799490i	$-0.294897\pi$
$193$	11.4085	+	2.44359i	0.821199	+	0.175893i	0.220519	+	0.975383i	$0.429225\pi$
$194$	−1.21439	−	0.651393i	−0.0871878	−	0.0467673i
$195$	5.85357	+	1.84143i	0.419183	+	0.131868i
$196$	5.37364	−	14.6451i	0.383831	−	1.04608i
$197$	−0.637949	−	0.913616i	−0.0454520	−	0.0650924i	0.796526	−	0.604604i	$-0.206669\pi$
$197$	−0.637949	−	0.913616i	−0.0454520	−	0.0650924i	−0.841978	+	0.539512i	$0.818609\pi$
$198$	−5.61426	+	8.04026i	−0.398988	+	0.571397i
$199$	−8.42532	−	22.9621i	−0.597255	−	1.62774i	−0.766558	−	0.642175i	$-0.778032\pi$
$199$	−8.42532	−	22.9621i	−0.597255	−	1.62774i	0.169303	−	0.985564i	$-0.445848\pi$
$200$	0.180659	+	3.85005i	0.0127745	+	0.272240i
$201$	−2.31141	−	0.848111i	−0.163034	−	0.0598211i
$202$	−0.331448	−	0.130511i	−0.0233206	−	0.00918271i
$203$	24.2139	−	33.0010i	1.69948	−	2.31622i
$204$	3.91276	+	1.33247i	0.273948	+	0.0932914i
$205$	−0.911014	+	1.90806i	−0.0636280	+	0.133265i
$206$	4.63045	+	9.14068i	0.322618	+	0.636861i
$207$	0.219034	+	3.10905i	0.0152239	+	0.216094i
$208$	3.86253	+	4.77746i	0.267818	+	0.331257i
$209$	0.971287	+	6.85920i	0.0671854	+	0.474461i
$210$	−1.73971	−	4.41821i	−0.120052	−	0.304885i
$211$	19.7383	−	16.7384i	1.35884	−	1.15232i	0.385567	−	0.922680i	$-0.374006\pi$
$211$	19.7383	−	16.7384i	1.35884	−	1.15232i	0.973275	−	0.229641i	$-0.0737552\pi$
$212$	7.34810	+	4.63430i	0.504670	+	0.318285i
$213$	2.93538	−	4.42110i	0.201129	−	0.302929i
$214$	15.0083	−	7.60284i	1.02595	−	0.519720i
$215$	−0.670550	−	2.54222i	−0.0457312	−	0.173378i
$216$	−2.83148	−	3.85902i	−0.192658	−	0.262573i
$217$	4.54457	+	14.4463i	0.308506	+	0.980681i
$218$	−8.76001	−	7.42864i	−0.593303	−	0.503131i
$219$	3.04117	−	8.93033i	0.205503	−	0.603456i
$220$	−3.27570	+	3.68410i	−0.220848	+	0.248382i
$221$	19.4666	−	19.0155i	1.30947	−	1.27912i
$222$	−7.07249	−	2.04396i	−0.474674	−	0.137182i
$223$	1.05268	−	0.225473i	0.0704924	−	0.0150988i	−0.174058	−	0.984735i	$-0.555688\pi$
$223$	1.05268	−	0.225473i	0.0704924	−	0.0150988i	0.244550	+	0.969637i	$0.421360\pi$
$224$	0.995665	−	4.64850i	0.0665257	−	0.310591i
$225$	−7.32086	−	3.70857i	−0.488057	−	0.247238i
$226$	10.0909	−	5.72128i	0.671233	−	0.380574i
$227$	19.6213	−	14.3968i	1.30231	−	0.955548i	0.302316	−	0.953208i	$-0.402240\pi$
$227$	19.6213	−	14.3968i	1.30231	−	0.955548i	0.999997	−	0.00234029i	$-0.000744938\pi$
$228$	−1.37900	−	0.261719i	−0.0913268	−	0.0173328i
$229$	17.5408	−	5.51802i	1.15913	−	0.364641i	0.341214	−	0.939986i	$-0.389162\pi$
$229$	17.5408	−	5.51802i	1.15913	−	0.364641i	0.817911	+	0.575344i	$0.195132\pi$
$230$	−0.0734407	+	1.56510i	−0.00484254	+	0.103200i
$231$	−7.92927	+	18.8300i	−0.521708	+	1.23892i
$232$	4.06985	−	7.58739i	0.267199	−	0.498137i
$233$	11.2241	−	5.03941i	0.735317	−	0.330142i	−0.00719567	−	0.999974i	$-0.502290\pi$
$233$	11.2241	−	5.03941i	0.735317	−	0.330142i	0.742513	+	0.669832i	$0.233634\pi$
$234$	−12.9052	+	2.13713i	−0.843639	+	0.139709i
$235$	5.69879	−	9.52367i	0.371748	−	0.621256i
$236$	−2.46514	−	2.64492i	−0.160467	−	0.172170i
$237$	−2.74801	−	2.01630i	−0.178502	−	0.130973i
$238$	−20.9130	−	2.46279i	−1.35559	−	0.159639i
$239$	−9.12104	−	0.427994i	−0.589991	−	0.0276846i	−0.250214	−	0.968191i	$-0.580501\pi$
$239$	−9.12104	−	0.427994i	−0.589991	−	0.0276846i	−0.339777	+	0.940506i	$0.610352\pi$
$240$	−0.492641	−	0.868891i	−0.0317999	−	0.0560867i
$241$	18.9564	+	18.5171i	1.22109	+	1.19279i	0.974675	+	0.223627i	$0.0717898\pi$
$241$	18.9564	+	18.5171i	1.22109	+	1.19279i	0.246415	+	0.969164i	$0.420747\pi$
$242$	10.1867	−	0.717658i	0.654827	−	0.0461328i
$243$	16.0411	−	1.88905i	1.02903	−	0.121183i
$244$	−8.09635	−	4.59045i	−0.518316	−	0.293873i
$245$	9.23606	+	13.9108i	0.590070	+	0.888730i
$246$	0.0432124	+	1.84282i	0.00275512	+	0.117494i
$247$	−5.63981	+	7.32029i	−0.358853	+	0.465779i
$248$	1.37258	+	2.87477i	0.0871586	+	0.182548i
$249$	−1.85373	−	15.7411i	−0.117475	−	0.997552i
$250$	−7.89560	−	5.24227i	−0.499362	−	0.331550i
$251$	5.73403	+	24.0079i	0.361929	+	1.51536i	0.790843	+	0.612019i	$0.209643\pi$
$251$	5.73403	+	24.0079i	0.361929	+	1.51536i	−0.428914	+	0.903345i	$0.641104\pi$
$252$	7.56442	+	6.72588i	0.476514	+	0.423691i
$253$	4.93181	−	4.59659i	0.310060	−	0.288985i
$254$	−1.15414	+	4.83230i	−0.0724174	+	0.303206i
$255$	−3.62750	+	2.53297i	−0.227163	+	0.158621i
$256$	0.0702762	−	0.997528i	0.00439226	−	0.0623455i
$257$	−5.54206	+	2.33375i	−0.345704	+	0.145575i	−0.554057	−	0.832479i	$-0.686921\pi$
$257$	−5.54206	+	2.33375i	−0.345704	+	0.145575i	0.208353	+	0.978054i	$0.433190\pi$
$258$	−1.52304	−	1.71293i	−0.0948206	−	0.106642i
$259$	37.4122	+	2.63571i	2.32468	+	0.163775i
$260$	−6.56870	+	0.308229i	−0.407374	+	0.0191155i
$261$	9.77949	+	15.5063i	0.605335	+	0.959814i
$262$	0.870776	+	1.93946i	0.0537967	+	0.119820i
$263$	−1.98703	−	9.27692i	−0.122526	−	0.572040i	−0.996318	−	0.0857398i	$-0.972675\pi$
$263$	−1.98703	−	9.27692i	−0.122526	−	0.572040i	0.873792	−	0.486300i	$-0.161654\pi$
$264$	−1.09612	+	4.15567i	−0.0674616	+	0.255764i
$265$	−8.65224	+	3.40691i	−0.531503	+	0.209285i
$266$	7.14871	−	0.167630i	0.438316	−	0.0102781i
$267$	1.16494	+	6.13808i	0.0712930	+	0.375644i
$268$	2.63846			0.161169
$269$	16.0206	−	3.51297i	0.976792	−	0.214190i
$269$	16.0206	−	3.51297i	0.976792	−	0.214190i
$270$	5.12323			0.311790
$271$	−1.79421	−	9.45376i	−0.108991	−	0.574275i	−0.994062	−	0.108819i	$-0.965293\pi$
$271$	−1.79421	−	9.45376i	−0.108991	−	0.574275i	0.885071	−	0.465456i	$-0.154110\pi$
$272$	−4.42828	+	0.103839i	−0.268504	+	0.00629615i
$273$	−25.3588	+	9.98527i	−1.53478	+	0.604336i
$274$	−2.17986	+	8.26437i	−0.131690	+	0.499269i
$275$	3.71788	+	17.3578i	0.224196	+	1.04671i
$276$	0.559485	+	1.24613i	0.0336770	+	0.0750079i
$277$	−2.74157	−	4.34701i	−0.164725	−	0.261187i	0.753327	−	0.657646i	$-0.228448\pi$
$277$	−2.74157	−	4.34701i	−0.164725	−	0.261187i	−0.918052	+	0.396459i	$0.870239\pi$
$278$	−2.37082	+	0.111248i	−0.142193	+	0.00667222i
$279$	−6.76614	−	0.476677i	−0.405078	−	0.0285379i
$280$	3.38117	+	3.80271i	0.202063	+	0.227256i
$281$	23.0479	−	9.70543i	1.37493	−	0.578977i	0.428983	−	0.903312i	$-0.358872\pi$
$281$	23.0479	−	9.70543i	1.37493	−	0.578977i	0.945942	+	0.324335i	$0.105141\pi$
$282$	0.679970	−	9.65176i	0.0404916	−	0.574754i
$283$	−13.5949	+	9.49286i	−0.808131	+	0.564292i	−0.902222	−	0.431272i	$-0.858065\pi$
$283$	−13.5949	+	9.49286i	−0.808131	+	0.564292i	0.0940915	+	0.995564i	$0.470005\pi$
$284$	−1.32111	+	5.53139i	−0.0783937	+	0.328228i
$285$	1.09906	−	1.02435i	0.0651025	−	0.0606773i
$286$	21.1453	+	18.8012i	1.25035	+	1.11174i
$287$	−2.18152	−	9.13385i	−0.128771	−	0.539154i
$288$	1.77384	+	1.17774i	0.104524	+	0.0693987i
$289$	0.306476	+	2.60247i	0.0180280	+	0.153086i
$290$	3.97083	+	8.31664i	0.233175	+	0.488370i
$291$	0.784826	−	1.01868i	0.0460073	−	0.0597160i
$292$	0.236998	+	10.1069i	0.0138692	+	0.591464i
$293$	−6.05950	−	9.12646i	−0.353999	−	0.533174i	0.612289	−	0.790634i	$-0.290249\pi$
$293$	−6.05950	−	9.12646i	−0.353999	−	0.533174i	−0.966289	+	0.257460i	$0.917114\pi$
$294$	12.6634	+	7.17983i	0.738542	+	0.418736i
$295$	3.84350	−	0.452624i	0.223777	−	0.0263528i
$296$	7.86975	−	0.554427i	0.457420	−	0.0322254i
$297$	−15.7693	−	15.4039i	−0.915030	−	0.893825i
$298$	1.48629	+	2.62143i	0.0860983	+	0.151855i
$299$	8.98309	+	0.421521i	0.519505	+	0.0243772i
$300$	−3.57198	−	0.420649i	−0.206228	−	0.0242862i
$301$	9.41466	+	6.90783i	0.542652	+	0.398161i
$302$	−0.504632	−	0.541434i	−0.0290383	−	0.0311560i
$303$	0.170682	−	0.285240i	0.00980544	−	0.0163866i
$304$	1.48395	−	0.245746i	0.0851104	−	0.0140945i
$305$	9.08820	−	4.08041i	0.520389	−	0.233644i
$306$	4.45809	−	8.31119i	0.254852	−	0.475119i
$307$	7.47046	−	17.7405i	0.426362	−	1.01250i	−0.556946	−	0.830549i	$-0.688027\pi$
$307$	7.47046	−	17.7405i	0.426362	−	1.01250i	0.983307	−	0.181953i	$-0.0582418\pi$
$308$	1.02626	−	21.8709i	0.0584768	−	1.24621i
$309$	−9.12103	+	2.86932i	−0.518877	+	0.163230i
$310$	−3.35004	−	0.635799i	−0.190269	−	0.0361109i
$311$	14.6998	−	10.7857i	0.833549	−	0.611601i	−0.0896280	−	0.995975i	$-0.528568\pi$
$311$	14.6998	−	10.7857i	0.833549	−	0.611601i	0.923177	+	0.384374i	$0.125583\pi$
$312$	−4.98709	+	2.82757i	−0.282339	+	0.160079i
$313$	−14.7919	−	7.49324i	−0.836089	−	0.423543i	−0.0188371	−	0.999823i	$-0.505996\pi$
$313$	−14.7919	−	7.49324i	−0.836089	−	0.423543i	−0.817252	+	0.576280i	$0.804504\pi$
$314$	−1.48845	+	6.94920i	−0.0839983	+	0.392166i
$315$	−10.5942	+	2.26919i	−0.596918	+	0.127854i
$316$	3.50891	+	1.01408i	0.197392	+	0.0570466i
$317$	−20.6198	+	20.1420i	−1.15812	+	1.13129i	−0.168785	+	0.985653i	$0.553985\pi$
$317$	−20.6198	+	20.1420i	−1.15812	+	1.13129i	−0.989339	+	0.145633i	$0.953478\pi$
$318$	−5.38670	+	6.05827i	−0.302071	+	0.339731i
$319$	12.7832	−	37.5377i	0.715724	−	2.10171i
$320$	0.816362	+	0.692289i	0.0456360	+	0.0387001i
$321$	4.71121	+	14.9760i	0.262954	+	0.835882i
$322$	−4.11665	−	5.61057i	−0.229412	−	0.312665i
$323$	−1.69927	−	6.44234i	−0.0945498	−	0.358461i
$324$	−1.71385	+	0.868195i	−0.0952139	+	0.0482331i
$325$	−13.0976	+	19.7269i	−0.726525	+	1.09425i
$326$	6.97412	+	4.39844i	0.386261	+	0.243607i
$327$	8.17448	−	6.93209i	0.452050	−	0.383346i
$328$	−0.723734	−	1.83801i	−0.0399615	−	0.101487i
$329$	6.91103	+	48.8055i	0.381017	+	2.69073i
$330$	−2.89225	−	3.57734i	−0.159213	−	0.196926i
$331$	1.56175	+	22.1681i	0.0858416	+	1.21847i	0.832791	+	0.553588i	$0.186742\pi$
$331$	1.56175	+	22.1681i	0.0858416	+	1.21847i	−0.746949	+	0.664881i	$0.768482\pi$
$332$	7.67562	+	15.1520i	0.421254	+	0.831572i
$333$	−7.23762	+	15.1587i	−0.396619	+	0.830693i
$334$	−2.39113	−	0.814284i	−0.130837	−	0.0445556i
$335$	−1.67069	+	2.27697i	−0.0912794	+	0.124404i
$336$	4.12770	+	1.62532i	0.225185	+	0.0886687i
$337$	−26.6785	−	9.78897i	−1.45327	−	0.533239i	−0.508528	−	0.861046i	$-0.669810\pi$
$337$	−26.6785	−	9.78897i	−1.45327	−	0.533239i	−0.944745	+	0.327806i	$0.893691\pi$
$338$	1.15977	+	24.7161i	0.0630833	+	1.34438i
$339$	3.72870	+	10.1621i	0.202515	+	0.551929i
$340$	2.71440	−	3.88734i	0.147209	−	0.210820i
$341$	8.39980	+	12.0295i	0.454875	+	0.651433i
$342$	−1.10322	+	3.00667i	−0.0596552	+	0.162582i
$343$	−38.9990	−	12.2684i	−2.10575	−	0.662432i
$344$	2.16456	+	1.16106i	0.116705	+	0.0626003i
$345$	−1.42967	−	0.306222i	−0.0769708	−	0.0164864i
$346$	4.62033	−	10.2907i	0.248390	−	0.553233i
$347$	−1.43154	+	0.202710i	−0.0768488	+	0.0108821i	−0.178524	−	0.983936i	$-0.557132\pi$
$347$	−1.43154	+	0.202710i	−0.0768488	+	0.0108821i	0.101675	+	0.994818i	$0.467580\pi$
$348$	6.36463	+	4.90353i	0.341180	+	0.262857i
$349$	−14.9368	−	27.8466i	−0.799549	−	1.49059i	−0.869985	−	0.493078i	$-0.835872\pi$
$349$	−14.9368	−	27.8466i	−0.799549	−	1.49059i	0.0704360	−	0.997516i	$-0.477561\pi$
$350$	18.2425	−	1.71580i	0.975104	−	0.0917131i
$351$		−	29.4053i		−	1.56954i
$352$	−0.431279	−	4.58541i	−0.0229873	−	0.244403i
$353$	8.84565	+	8.24440i	0.470807	+	0.438805i	0.880945	−	0.473218i	$-0.156908\pi$
$353$	8.84565	+	8.24440i	0.470807	+	0.438805i	−0.410139	+	0.912023i	$0.634520\pi$
$354$	2.81080	−	1.86622i	0.149392	−	0.0991886i
$355$	−3.93703	−	4.64263i	−0.208956	−	0.246405i
$356$	−3.43780	−	5.74516i	−0.182203	−	0.304493i
$357$	5.45563	−	18.8775i	0.288742	−	0.999102i
$358$	0.791713	+	4.78080i	0.0418433	+	0.252673i
$359$	4.00236	+	0.0938514i	0.211237	+	0.00495329i	0.128930	−	0.991654i	$-0.458846\pi$
$359$	4.00236	+	0.0938514i	0.211237	+	0.00495329i	0.0823069	+	0.996607i	$0.473771\pi$
$360$	−2.13959	+	0.785063i	−0.112766	+	0.0413765i
$361$	−6.49569	−	15.4256i	−0.341878	−	0.811875i
$362$	15.7874	+	1.48488i	0.829766	+	0.0780434i
$363$	−0.892345	+	9.48750i	−0.0468359	+	0.497965i
$364$	21.8261	−	19.4066i	1.14400	−	1.01718i
$365$	−8.87230	−	6.19525i	−0.464398	−	0.324274i
$366$	5.46040	−	6.75382i	0.285420	−	0.353028i
$367$	−9.25347	−	5.53711i	−0.483027	−	0.289035i	0.251204	−	0.967934i	$-0.419174\pi$
$367$	−9.25347	−	5.53711i	−0.483027	−	0.289035i	−0.734231	+	0.678900i	$0.762457\pi$
$368$	−1.02286	−	1.04713i	−0.0533204	−	0.0545854i
$369$	4.16444	+	0.589699i	0.216792	+	0.0306985i
$370$	−4.50471	+	7.14262i	−0.234189	+	0.371327i
$371$	20.3696	−	35.9266i	1.05754	−	1.86522i
$372$	−2.85583	+	0.825341i	−0.148068	+	0.0427919i
$373$	28.1620	−	15.1060i	1.45817	−	0.782158i	0.463583	−	0.886053i	$-0.346563\pi$
$373$	28.1620	−	15.1060i	1.45817	−	0.782158i	0.994588	+	0.103895i	$0.0331306\pi$
$374$	−20.0429	+	3.80391i	−1.03639	+	0.196696i
$375$	6.02988	−	6.46963i	0.311381	−	0.334090i
$376$	2.87878	+	9.96111i	0.148462	+	0.513705i
$377$	47.7343	−	22.7910i	2.45844	−	1.17380i
$378$	−17.6944	+	14.3058i	−0.910103	+	0.735810i
$379$	21.7983	+	28.2934i	1.11970	+	1.45333i	0.875248	+	0.483674i	$0.160698\pi$
$379$	21.7983	+	28.2934i	1.11970	+	1.45333i	0.244453	+	0.969661i	$0.421392\pi$
$380$	−0.727569	+	1.43625i	−0.0373235	+	0.0736781i
$381$	−4.27276	−	1.79925i	−0.218900	−	0.0921781i
$382$	5.91077	+	17.3568i	0.302421	+	0.888053i
$383$	−3.37836	+	8.57973i	−0.172626	+	0.438404i	−0.990590	−	0.136866i	$-0.956297\pi$
$383$	−3.37836	+	8.57973i	−0.172626	+	0.438404i	0.817964	+	0.575270i	$0.195103\pi$
$384$	0.907630	+	0.216778i	0.0463173	+	0.0110624i
$385$	18.2246	+	14.7344i	0.928812	+	0.750936i
$386$	0.273510	−	11.6640i	0.0139213	−	0.593683i
$387$	−4.42369	+	2.78993i	−0.224869	+	0.141820i
$388$	−0.413534	+	1.31455i	−0.0209940	+	0.0667360i
$389$	−29.0149	+	9.88084i	−1.47111	+	0.500978i	−0.938470	−	0.345362i	$-0.887756\pi$
$389$	−29.0149	+	9.88084i	−1.47111	+	0.500978i	−0.532642	+	0.846340i	$0.678801\pi$
$390$	0.717683	−	6.09427i	0.0363413	−	0.308595i
$391$	−4.19361	+	4.94519i	−0.212080	+	0.250089i
$392$	−15.3903	−	2.54867i	−0.777326	−	0.128727i
$393$	−1.91826	+	0.505970i	−0.0967633	+	0.0255228i
$394$	−0.778641	+	0.797114i	−0.0392274	+	0.0401580i
$395$	−3.09702	+	2.38605i	−0.155828	+	0.120055i
$396$	8.94609	+	4.01661i	0.449558	+	0.201842i
$397$	−22.2763	−	5.87572i	−1.11802	−	0.294894i	−0.350907	−	0.936410i	$-0.614127\pi$
$397$	−22.2763	−	5.87572i	−1.11802	−	0.294894i	−0.767109	+	0.641516i	$0.778306\pi$
$398$	−20.9884	+	12.5591i	−1.05205	+	0.629530i
$399$	−0.935547	+	6.60680i	−0.0468359	+	0.330754i
$400$	3.74885	−	0.895372i	0.187442	−	0.0447686i
$401$	−2.26571	−	1.08177i	−0.113144	−	0.0540212i	0.373444	−	0.927653i	$-0.378177\pi$
$401$	−2.26571	−	1.08177i	−0.113144	−	0.0540212i	−0.486588	+	0.873631i	$0.661759\pi$
$402$	−0.402251	+	2.42901i	−0.0200624	+	0.121148i
$403$	−3.64924	+	19.2279i	−0.181781	+	0.957810i
$404$	−0.0664202	+	0.349970i	−0.00330453	+	0.0174117i
$405$	0.335973	−	2.02879i	0.0166946	−	0.100811i
$406$	−36.9372	−	17.6358i	−1.83316	−	0.875252i
$407$	35.3411	−	8.44084i	1.75179	−	0.418397i
$408$	0.579526	−	4.09259i	0.0286908	−	0.202614i
$409$	−17.7529	+	10.6230i	−0.877827	+	0.525275i	−0.880136	−	0.474722i	$-0.842549\pi$
$409$	−17.7529	+	10.6230i	−0.877827	+	0.525275i	0.00230913	+	0.999997i	$0.499265\pi$
$410$	2.04447	+	0.539260i	0.100969	+	0.0266321i
$411$	−7.27601	−	3.26678i	−0.358899	−	0.161138i
$412$	8.11698	−	6.25361i	0.399895	−	0.308093i
$413$	−12.0107	+	12.2956i	−0.591006	+	0.605027i
$414$	3.01369	−	0.794907i	0.148115	−	0.0390675i
$415$	−17.9363	−	2.97030i	−0.880459	−	0.145806i
$416$	3.97347	−	4.68560i	0.194815	−	0.229730i
$417$	0.259031	−	2.19959i	0.0126848	−	0.107714i
$418$	6.55780	−	2.23322i	0.320753	−	0.109230i
$419$	5.20816	−	16.5558i	0.254435	−	0.808802i	−0.736732	−	0.676185i	$-0.763632\pi$
$419$	5.20816	−	16.5558i	0.254435	−	0.808802i	0.991167	−	0.132617i	$-0.0423381\pi$
$420$	−4.01633	+	2.53302i	−0.195977	+	0.123599i
$421$	−0.312966	+	13.3467i	−0.0152530	+	0.650477i	0.937715	+	0.347406i	$0.112937\pi$
$421$	−0.312966	+	13.3467i	−0.0152530	+	0.650477i	−0.952968	+	0.303071i	$0.901988\pi$
$422$	−20.1253	−	16.2711i	−0.979684	−	0.792065i
$423$	−21.4733	−	5.12868i	−1.04407	−	0.249365i
$424$	3.18290	−	8.08334i	0.154575	−	0.392562i
$425$	−5.50359	−	16.1612i	−0.266963	−	0.783931i
$426$	−4.89090	−	2.05954i	−0.236965	−	0.0997851i
$427$	−19.9946	+	39.4701i	−0.967606	+	1.91009i
$428$	−10.2680	−	13.3275i	−0.496321	−	0.644208i
$429$	−20.5325	+	16.6004i	−0.991320	+	0.801473i
$430$	−2.37261	+	1.13281i	−0.114417	+	0.0546291i
$431$	1.42792	+	4.94085i	0.0687803	+	0.237992i	0.987677	−	0.156506i	$-0.0500230\pi$
$431$	1.42792	+	4.94085i	0.0687803	+	0.237992i	−0.918897	+	0.394498i	$0.870918\pi$
$432$	−3.26338	+	3.50138i	−0.157010	+	0.168460i
$433$	−35.6956	+	6.77461i	−1.71542	+	0.325567i	−0.948644	−	0.316347i	$-0.897544\pi$
$433$	−35.6956	+	6.77461i	−1.71542	+	0.325567i	−0.766777	+	0.641914i	$0.778141\pi$
$434$	13.3456	−	7.15854i	0.640610	−	0.343621i
$435$	−8.26185	+	2.38769i	−0.396125	+	0.114481i
$436$	−5.66497	+	9.99153i	−0.271303	+	0.478507i
$437$	1.17455	−	1.86235i	0.0561862	−	0.0890884i
$438$	−9.34078	−	1.32269i	−0.446320	−	0.0632004i
$439$	11.4563	+	11.7281i	0.546778	+	0.559750i	0.931714	−	0.363194i	$-0.118314\pi$
$439$	11.4563	+	11.7281i	0.546778	+	0.559750i	−0.384936	+	0.922943i	$0.625776\pi$
$440$	4.23027	+	2.53132i	0.201670	+	0.120676i
$441$	20.8830	−	25.8296i	0.994429	−	1.22998i
$442$	−22.3118	−	15.5796i	−1.06126	−	0.741047i
$443$	−2.94801	+	2.62121i	−0.140064	+	0.124538i	−0.731579	−	0.681756i	$-0.761217\pi$
$443$	−2.94801	+	2.62121i	−0.140064	+	0.124538i	0.591515	+	0.806294i	$0.298530\pi$
$444$	−0.689381	+	7.32957i	−0.0327166	+	0.347846i
$445$	7.13488	+	0.671069i	0.338226	+	0.0318117i
$446$	−0.417801	−	0.992173i	−0.0197835	−	0.0469807i
$447$	−2.63993	+	0.968652i	−0.124864	+	0.0458156i
$448$	−4.75263	−	0.111444i	−0.224540	−	0.00526525i
$449$	−1.72319	−	10.4056i	−0.0813222	−	0.491069i	−0.996182	−	0.0872978i	$-0.972177\pi$
$449$	−1.72319	−	10.4056i	−0.0813222	−	0.491069i	0.914860	−	0.403771i	$-0.132301\pi$
$450$	−2.27848	+	7.88397i	−0.107409	+	0.371654i
$451$	−4.67150	−	7.80689i	−0.219972	−	0.367612i
$452$	−7.50248	−	8.84709i	−0.352887	−	0.416132i
$453$	0.575389	−	0.382029i	0.0270341	−	0.0179493i
$454$	−17.8029	−	16.5928i	−0.835531	−	0.778739i
$455$	2.92738	+	31.1242i	0.137238	+	1.45912i
$456$			1.40362i			0.0657305i
$457$	1.75618	−	0.165177i	0.0821506	−	0.00772666i	−0.0524864	−	0.998622i	$-0.516715\pi$
$457$	1.75618	−	0.165177i	0.0821506	−	0.00772666i	0.134637	+	0.990895i	$0.457013\pi$
$458$	−8.69190	−	16.2042i	−0.406146	−	0.757175i
$459$	16.7948	+	12.9393i	0.783914	+	0.603956i
$460$	1.55135	−	0.219677i	0.0723321	−	0.0102425i
$461$	−13.6641	+	30.4337i	−0.636401	+	1.41744i	0.256215	+	0.966620i	$0.417525\pi$
$461$	−13.6641	+	30.4337i	−0.636401	+	1.41744i	−0.892616	+	0.450818i	$0.851132\pi$
$462$	19.9783	+	4.27916i	0.929474	+	0.199085i
$463$	−24.8618	−	13.3358i	−1.15543	−	0.619768i	−0.220774	−	0.975325i	$-0.570858\pi$
$463$	−24.8618	−	13.3358i	−1.15543	−	0.619768i	−0.934654	+	0.355558i	$0.884291\pi$
$464$	−8.21319	−	2.58373i	−0.381288	−	0.119947i
$465$	1.09607	−	2.98718i	0.0508288	−	0.138527i
$466$	−7.04388	−	10.0876i	−0.326301	−	0.467301i
$467$	8.63668	−	12.3687i	0.399658	−	0.572356i	−0.568504	−	0.822680i	$-0.692478\pi$
$467$	8.63668	−	12.3687i	0.399658	−	0.572356i	0.968162	+	0.250325i	$0.0805374\pi$
$468$	4.50596	+	12.2804i	0.208288	+	0.567661i
$469$	−0.587921	−	12.5293i	−0.0271477	−	0.578547i
$470$	−10.4192	−	3.82306i	−0.480604	−	0.176345i
$471$	−6.17065	−	2.42975i	−0.284328	−	0.111957i
$472$	−2.13889	+	2.91508i	−0.0984502	+	0.134178i
$473$	10.7089	+	3.64685i	0.492396	+	0.167682i
$474$	−1.46854	+	3.07577i	−0.0674524	+	0.141275i
$475$	2.61988	+	5.17174i	0.120208	+	0.237296i
$476$	1.47984	+	21.0055i	0.0678285	+	0.962784i
$477$	11.6296	+	14.3843i	0.532481	+	0.658610i
$478$	1.28022	+	9.04088i	0.0585559	+	0.413520i
$479$	1.54598	+	3.92619i	0.0706375	+	0.179392i	0.961451	−	0.274978i	$-0.0886704\pi$
$479$	1.54598	+	3.92619i	0.0706375	+	0.179392i	−0.890813	+	0.454370i	$0.849864\pi$
$480$	−0.761795	+	0.646015i	−0.0347710	+	0.0294864i
$481$	40.9958	+	25.8552i	1.86925	+	1.17890i
$482$	14.6578	−	22.0767i	0.667642	−	1.00556i
$483$	5.79282	−	2.93450i	0.263582	−	0.133524i
$484$	−2.60449	−	9.87425i	−0.118386	−	0.448829i
$485$	−0.872596	−	1.18926i	−0.0396225	−	0.0540014i
$486$	−4.84694	−	15.4075i	−0.219862	−	0.698898i
$487$	−25.4798	−	21.6073i	−1.15460	−	0.979120i	−0.154639	−	0.987971i	$-0.549421\pi$
$487$	−25.4798	−	21.6073i	−1.15460	−	0.979120i	−0.999961	+	0.00885113i	$0.997183\pi$
$488$	−3.00030	+	8.81030i	−0.135817	+	0.398824i
$489$	−5.11254	+	5.74994i	−0.231197	+	0.260021i
$490$	11.9447	−	11.6679i	0.539607	−	0.527102i
$491$	−33.6416	−	9.72249i	−1.51822	−	0.438770i	−0.588953	−	0.808167i	$-0.700460\pi$
$491$	−33.6416	−	9.72249i	−1.51822	−	0.438770i	−0.929272	+	0.369397i	$0.879564\pi$
$492$	1.80245	−	0.386067i	0.0812605	−	0.0174053i
$493$	−7.98763	+	37.2921i	−0.359745	+	1.67955i
$494$	8.24351	+	4.17596i	0.370893	+	0.187885i
$495$	−9.13104	+	5.17709i	−0.410410	+	0.232693i
$496$	2.56843	−	1.88453i	0.115326	−	0.0846181i
$497$	26.5613	+	5.04104i	1.19144	+	0.226121i
$498$	−15.1194	+	4.75630i	−0.677516	+	0.213135i
$499$	−1.77182	+	37.7595i	−0.0793176	+	1.69035i	0.492774	+	0.870157i	$0.335983\pi$
$499$	−1.77182	+	37.7595i	−0.0793176	+	1.69035i	−0.572092	+	0.820190i	$0.693868\pi$
$500$	−3.67812	+	8.73461i	−0.164490	+	0.390624i
$501$	1.11419	−	2.07717i	0.0497783	−	0.0928013i
$502$	22.5177	−	10.1100i	1.00501	−	0.451230i
$503$	−12.8951	+	2.13546i	−0.574964	+	0.0952154i	−0.443769	−	0.896141i	$-0.646359\pi$
$503$	−12.8951	+	2.13546i	−0.574964	+	0.0952154i	−0.131195	+	0.991357i	$0.541881\pi$
$504$	5.19746	−	8.68587i	0.231513	−	0.386899i
$505$	−0.259965	−	0.278924i	−0.0115683	−	0.0124119i
$506$	−5.43556	−	3.98824i	−0.241640	−	0.177299i
$507$	−22.9309	−	2.70043i	−1.01840	−	0.119930i
$508$	4.96276	+	0.232872i	0.220187	+	0.0103320i
$509$	−15.7950	−	27.8582i	−0.700099	−	1.23479i	−0.962878	−	0.269937i	$-0.912997\pi$
$509$	−15.7950	−	27.8582i	−0.700099	−	1.23479i	0.262779	−	0.964856i	$-0.415361\pi$
$510$	3.16493	+	3.09158i	0.140145	+	0.136898i
$511$	47.9421	−	3.37754i	2.12083	−	0.149413i
$512$	−0.993137	+	0.116955i	−0.0438909	+	0.00516874i
$513$	−6.26286	−	3.55090i	−0.276512	−	0.156776i
$514$	3.32619	+	5.00971i	0.146712	+	0.220969i
$515$	0.257112	+	10.9647i	0.0113297	+	0.483164i
$516$	−1.39890	+	1.81573i	−0.0615832	+	0.0799329i
$517$	20.5758	+	43.0947i	0.904923	+	1.89530i
$518$	−4.38641	−	37.2476i	−0.192728	−	1.63656i
$519$	8.76945	+	5.82246i	0.384936	+	0.255577i
$520$	1.52762	+	6.39603i	0.0669908	+	0.280485i
$521$	11.3486	+	10.0906i	0.497193	+	0.442078i	0.875226	−	0.483715i	$-0.160713\pi$
$521$	11.3486	+	10.0906i	0.497193	+	0.442078i	−0.378033	+	0.925792i	$0.623399\pi$
$522$	13.4108	−	12.4993i	0.586977	−	0.547079i
$523$	7.72352	−	32.3377i	0.337726	−	1.41403i	−0.499092	−	0.866549i	$-0.666333\pi$
$523$	7.72352	−	32.3377i	0.337726	−	1.41403i	0.836818	−	0.547481i	$-0.184413\pi$
$524$	1.74308	−	1.21714i	0.0761467	−	0.0531708i
$525$	−1.20160	+	17.0560i	−0.0524422	+	0.744385i
$526$	−8.74373	+	3.68196i	−0.381245	+	0.160541i
$527$	−9.37621	−	10.5452i	−0.408434	−	0.459355i
$528$	4.28717	+	0.302033i	0.186575	+	0.0131443i
$529$	20.8343	−	0.977628i	0.905841	−	0.0425055i
$530$	4.96046	+	7.86525i	0.215468	+	0.341645i
$531$	−3.15319	−	7.02300i	−0.136837	−	0.304772i
$532$	−1.49764	−	6.99209i	−0.0649309	−	0.303145i
$533$	3.09514	−	11.7344i	0.134065	−	0.508275i
$534$	5.81322	−	2.28901i	0.251563	−	0.0990553i
$535$	18.0033	−	0.422159i	0.778350	−	0.0182515i
$536$	−0.491967	−	2.59218i	−0.0212497	−	0.111965i
$537$	−4.52201			−0.195139
$538$	−6.43856	−	15.0846i	−0.277586	−	0.650343i
$539$	−71.8475			−3.09469
$540$	−0.955278	−	5.03338i	−0.0411086	−	0.216602i
$541$	31.3159	−	0.734326i	1.34637	−	0.0315711i	0.655856	−	0.754886i	$-0.272308\pi$
$541$	31.3159	−	0.734326i	1.34637	−	0.0315711i	0.690518	+	0.723315i	$0.257383\pi$
$542$	−8.95341	+	3.52550i	−0.384582	+	0.151433i
$543$	−3.77390	+	14.3078i	−0.161954	+	0.614006i
$544$	0.927715	+	4.33126i	0.0397755	+	0.185701i
$545$	−5.03555	−	11.2155i	−0.215699	−	0.480421i
$546$	14.5386	+	23.0522i	0.622193	+	0.986542i
$547$	−1.04698	+	0.0491285i	−0.0447658	+	0.00210058i	−0.0692434	−	0.997600i	$-0.522059\pi$
$547$	−1.04698	+	0.0491285i	−0.0447658	+	0.00210058i	0.0244776	+	0.999700i	$0.492208\pi$
$548$	8.52589	+	0.600652i	0.364208	+	0.0256586i
$549$	−13.1678	−	14.8095i	−0.561988	−	0.632053i
$550$	16.3601	−	6.88921i	0.697599	−	0.293757i
$551$	0.910135	−	12.9188i	0.0387731	−	0.550360i
$552$	1.11995	−	0.782025i	0.0476682	−	0.0332852i
$553$	4.03370	−	16.8888i	0.171530	−	0.718183i
$554$	−3.75958	+	3.50404i	−0.159729	+	0.148872i
$555$	−5.88886	−	5.23606i	−0.249968	−	0.222259i
$556$	0.551361	+	2.30850i	0.0233829	+	0.0979023i
$557$	−28.8647	−	19.1646i	−1.22303	−	0.812031i	−0.235877	−	0.971783i	$-0.575796\pi$
$557$	−28.8647	−	19.1646i	−1.22303	−	0.812031i	−0.987157	+	0.159751i	$0.948931\pi$
$558$	0.793297	+	6.73636i	0.0335830	+	0.285173i
$559$	6.50191	+	13.6178i	0.275001	+	0.575973i
$560$	3.10557	−	4.03093i	0.131234	−	0.170338i
$561$	−0.446278	−	19.0318i	−0.0188419	−	0.803525i
$562$	−13.8327	−	20.8341i	−0.583499	−	0.878832i
$563$	31.4556	+	17.8346i	1.32570	+	0.751639i	0.982258	−	0.187536i	$-0.0600501\pi$
$563$	31.4556	+	17.8346i	1.32570	+	0.751639i	0.343438	+	0.939175i	$0.388408\pi$
$564$	−9.60928	+	1.13162i	−0.404624	+	0.0476499i
$565$	12.3856	−	0.872572i	0.521067	−	0.0367094i
$566$	11.8613	+	11.5864i	0.498567	+	0.487013i
$567$	4.50470	+	7.94511i	0.189179	+	0.333663i
$568$	5.68072	+	0.266561i	0.238358	+	0.0111847i
$569$	−25.0571	−	2.95082i	−1.05045	−	0.123705i	−0.425963	−	0.904740i	$-0.640065\pi$
$569$	−25.0571	−	2.95082i	−1.05045	−	0.123705i	−0.624486	+	0.781036i	$0.714692\pi$
$570$	−1.21132	−	0.888781i	−0.0507365	−	0.0372269i
$571$	12.3195	+	13.2180i	0.515555	+	0.553154i	0.935010	−	0.354622i	$-0.115391\pi$
$571$	12.3195	+	13.2180i	0.515555	+	0.553154i	−0.419454	+	0.907776i	$0.637779\pi$
$572$	14.5288	−	24.2801i	0.607478	−	1.01520i
$573$	−16.8802	+	2.79540i	−0.705180	+	0.116780i
$574$	−8.56690	+	3.84636i	−0.357575	+	0.160544i
$575$	2.66687	−	4.97183i	0.111216	−	0.207340i
$576$	0.826331	−	1.96233i	0.0344305	−	0.0817637i
$577$	−2.19273	+	46.7296i	−0.0912846	+	1.94538i	0.181689	+	0.983356i	$0.441843\pi$
$577$	−2.19273	+	46.7296i	−0.0912846	+	1.94538i	−0.272974	+	0.962021i	$0.588007\pi$
$578$	2.49968	−	0.786358i	0.103973	−	0.0327082i
$579$	10.6964	+	2.03006i	0.444528	+	0.0843663i
$580$	7.43039	−	5.45191i	0.308530	−	0.226378i
$581$	70.2419	−	39.8255i	2.91412	−	1.65224i
$582$	−1.14715	−	0.581120i	−0.0475510	−	0.0240882i
$583$	8.37995	−	39.1238i	0.347062	−	1.62034i
$584$	9.88549	−	2.11738i	0.409065	−	0.0876178i
$585$	−13.4511	−	3.88740i	−0.556135	−	0.160724i
$586$	−7.83655	+	7.65495i	−0.323725	+	0.316223i
$587$	−6.46446	+	7.27041i	−0.266817	+	0.300082i	−0.865505	−	0.500900i	$-0.833002\pi$
$587$	−6.46446	+	7.27041i	−0.266817	+	0.300082i	0.598688	+	0.800982i	$0.295689\pi$
$588$	4.69270	−	13.7800i	0.193524	−	0.568279i
$589$	3.65457	+	3.09913i	0.150584	+	0.127698i
$590$	−1.16135	−	3.69170i	−0.0478118	−	0.151985i
$591$	−0.615130	−	0.838358i	−0.0253031	−	0.0344855i
$592$	−2.01210	−	7.62835i	−0.0826967	−	0.313523i
$593$	−29.6019	+	14.9956i	−1.21560	+	0.615795i	−0.938578	−	0.345068i	$-0.887856\pi$
$593$	−29.6019	+	14.9956i	−1.21560	+	0.615795i	−0.277025	+	0.960863i	$0.589348\pi$
$594$	−12.1934	+	18.3650i	−0.500301	+	0.753525i
$595$	−19.0647	−	12.0237i	−0.781575	−	0.492924i
$596$	2.29832	−	1.94901i	0.0941428	−	0.0798347i
$597$	−8.36231	−	21.2371i	−0.342246	−	0.869175i
$598$	−1.26086	−	8.90414i	−0.0515603	−	0.364117i
$599$	−15.1579	−	18.7484i	−0.619334	−	0.766037i	0.367102	−	0.930181i	$-0.380350\pi$
$599$	−15.1579	−	18.7484i	−0.619334	−	0.766037i	−0.986437	+	0.164143i	$0.947514\pi$
$600$	0.252760	+	3.58777i	0.0103189	+	0.146470i
$601$	−16.2870	−	32.1511i	−0.664360	−	1.31147i	−0.936991	−	0.349353i	$-0.886401\pi$
$601$	−16.2870	−	32.1511i	−0.664360	−	1.31147i	0.272631	−	0.962119i	$-0.412106\pi$
$602$	5.03123	−	10.5376i	0.205057	−	0.429480i
$603$	5.31794	+	1.81099i	0.216563	+	0.0737493i
$604$	−0.437845	+	0.596737i	−0.0178157	+	0.0242809i
$605$	10.1706	+	4.00478i	0.413494	+	0.162817i
$606$	−0.312063	−	0.114503i	−0.0126767	−	0.00465137i
$607$	−1.35889	−	28.9596i	−0.0551558	−	1.17543i	−0.835286	−	0.549816i	$-0.814698\pi$
$607$	−1.35889	−	28.9596i	−0.0551558	−	1.17543i	0.780130	−	0.625617i	$-0.215153\pi$
$608$	−0.518134	−	1.41210i	−0.0210131	−	0.0572684i
$609$	21.8672	−	31.3164i	0.886105	−	1.26900i
$610$	−5.70344	−	8.16798i	−0.230926	−	0.330712i
$611$	−21.9429	+	59.8024i	−0.887714	+	2.41935i
$612$	−8.99669	−	2.83021i	−0.363670	−	0.114404i
$613$	−7.09854	−	3.80763i	−0.286707	−	0.153789i	0.323039	−	0.946386i	$-0.395296\pi$
$613$	−7.09854	−	3.80763i	−0.286707	−	0.153789i	−0.609746	+	0.792597i	$0.708728\pi$
$614$	−18.8223	−	4.03156i	−0.759606	−	0.162700i
$615$	−0.808146	+	1.79996i	−0.0325876	+	0.0725815i
$616$	−21.6787	+	3.06977i	−0.873458	+	0.123685i
$617$	9.34981	+	7.20342i	0.376409	+	0.289999i	0.781040	−	0.624481i	$-0.214690\pi$
$617$	9.34981	+	7.20342i	0.376409	+	0.289999i	−0.404631	+	0.914480i	$0.632600\pi$
$618$	4.51971	+	8.42606i	0.181809	+	0.338946i
$619$	−4.70002	+	0.442059i	−0.188910	+	0.0177678i	−0.187674	−	0.982231i	$-0.560095\pi$
$619$	−4.70002	+	0.442059i	−0.188910	+	0.0177678i	−0.00123568	+	0.999999i	$0.500393\pi$
$620$			3.40984i			0.136942i
$621$	0.656082	+	6.97553i	0.0263276	+	0.279918i
$622$	−13.3375	−	12.4309i	−0.534784	−	0.498434i
$623$	−26.5160	+	17.6053i	−1.06234	+	0.705340i
$624$	3.70787	+	4.37240i	0.148434	+	0.175036i
$625$	4.68647	+	7.83191i	0.187459	+	0.313277i
$626$	−4.60372	+	15.9297i	−0.184002	+	0.636679i
$627$	1.05616	+	6.37771i	0.0421792	+	0.254701i
$628$	7.10487	+	0.166602i	0.283515	+	0.00664815i
$629$	−32.8067	+	12.0375i	−1.30809	+	0.479968i
$630$	4.20479	+	9.98533i	0.167523	+	0.397825i
$631$	31.3478	+	2.94841i	1.24793	+	0.117374i	0.696937	−	0.717133i	$-0.254546\pi$
$631$	31.3478	+	2.94841i	1.24793	+	0.117374i	0.550998	+	0.834507i	$0.314247\pi$
$632$	0.342027	−	3.63646i	0.0136051	−	0.144651i
$633$	18.0477	−	16.0471i	0.717334	−	0.637815i
$634$	23.6335	+	16.5025i	0.938606	+	0.655399i
$635$	−3.34342	+	4.13538i	−0.132679	+	0.164108i
$636$	6.95643	+	4.16260i	0.275840	+	0.165058i
$637$	−66.9691	−	68.5579i	−2.65341	−	2.71636i
$638$	−39.2629	−	5.55977i	−1.55443	−	0.220113i
$639$	−6.45942	+	10.2420i	−0.255531	+	0.405167i
$640$	0.527929	−	0.931129i	0.0208682	−	0.0368061i
$641$	−1.98806	+	0.574553i	−0.0785236	+	0.0226935i	−0.316670	−	0.948536i	$-0.602565\pi$
$641$	−1.98806	+	0.574553i	−0.0785236	+	0.0226935i	0.238146	+	0.971229i	$0.423460\pi$
$642$	13.8350	−	7.42102i	0.546022	−	0.292884i
$643$	5.76445	−	1.09403i	0.227328	−	0.0431442i	−0.0715442	−	0.997437i	$-0.522793\pi$
$643$	5.76445	−	1.09403i	0.227328	−	0.0431442i	0.298872	+	0.954293i	$0.403390\pi$
$644$	−4.74459	+	5.09060i	−0.186963	+	0.200598i
$645$	−0.681170	−	2.35697i	−0.0268211	−	0.0928057i
$646$	−6.01251	+	2.87071i	−0.236559	+	0.112946i
$647$	−0.166385	+	0.134521i	−0.00654126	+	0.00528855i	−0.631978	−	0.774986i	$-0.717757\pi$
$647$	−0.166385	+	0.134521i	−0.00654126	+	0.00528855i	0.625437	+	0.780275i	$0.284921\pi$
$648$	1.17253	+	1.52191i	0.0460615	+	0.0597863i
$649$	−7.52511	+	14.8549i	−0.295387	+	0.583104i
$650$	21.8231	+	9.18964i	0.855972	+	0.360447i
$651$	4.55566	+	13.3776i	0.178550	+	0.524309i
$652$	3.02091	−	7.67195i	0.118308	−	0.300457i
$653$	−31.1763	−	7.44612i	−1.22002	−	0.291389i	−0.429072	−	0.903270i	$-0.641159\pi$
$653$	−31.1763	−	7.44612i	−1.22002	−	0.291389i	−0.790950	+	0.611881i	$0.790413\pi$
$654$	−8.33474	−	6.73856i	−0.325914	−	0.263498i
$655$	−0.0533457	+	2.27497i	−0.00208439	+	0.0888903i
$656$	−1.67083	+	1.05376i	−0.0652348	+	0.0411423i
$657$	−6.45955	+	20.5337i	−0.252011	+	0.801096i
$658$	46.6609	−	15.8901i	1.81903	−	0.619460i
$659$	−4.10735	+	34.8780i	−0.160000	+	1.35865i	0.644456	+	0.764641i	$0.277084\pi$
$659$	−4.10735	+	34.8780i	−0.160000	+	1.35865i	−0.804456	+	0.594012i	$0.797543\pi$
$660$	−2.97532	+	3.50856i	−0.115814	+	0.136570i
$661$	5.94775	+	0.984963i	0.231341	+	0.0383106i	0.277921	−	0.960604i	$-0.410355\pi$
$661$	5.94775	+	0.984963i	0.231341	+	0.0383106i	−0.0465801	+	0.998915i	$0.514832\pi$
$662$	21.4881	−	5.66783i	0.835160	−	0.220286i
$663$	17.7445	−	18.1655i	0.689139	−	0.705488i
$664$	13.4550	−	10.3662i	0.522157	−	0.402288i
$665$	6.98245	+	3.13498i	0.270768	+	0.121569i
$666$	16.2424	+	4.28419i	0.629381	+	0.166009i
$667$	−10.8150	+	6.47151i	−0.418759	+	0.250578i
$668$	−0.354154	+	2.50102i	−0.0137026	+	0.0967675i
$669$	0.977110	−	0.233372i	0.0377773	−	0.00902270i
$670$	2.54856	+	1.21682i	0.0984594	+	0.0470100i
$671$	−7.00324	+	42.2895i	−0.270357	+	1.63257i
$672$	0.827169	−	4.35837i	0.0319087	−	0.168128i
$673$	−8.34701	+	43.9806i	−0.321754	+	1.69533i	0.335811	+	0.941929i	$0.390990\pi$
$673$	−8.34701	+	43.9806i	−0.321754	+	1.69533i	−0.657565	+	0.753398i	$0.728413\pi$
$674$	−4.64282	+	28.0359i	−0.178835	+	1.07990i
$675$	−16.6478	−	7.94860i	−0.640775	−	0.305942i
$676$	24.0664	−	5.74799i	0.925630	−	0.221077i
$677$	−0.212246	+	1.49887i	−0.00815727	+	0.0576064i	−0.993782	−	0.111342i	$-0.964485\pi$
$677$	−0.212246	+	1.49887i	−0.00815727	+	0.0576064i	0.985625	+	0.168949i	$0.0540372\pi$
$678$	9.28861	−	5.55814i	0.356727	−	0.213459i
$679$	6.33455	+	1.67084i	0.243098	+	0.0641208i
$680$	−4.32529	−	1.94197i	−0.165867	−	0.0744710i
$681$	17.9898	−	13.8600i	0.689372	−	0.531117i
$682$	10.2523	−	10.4955i	0.392580	−	0.401894i
$683$	−6.99955	+	1.84624i	−0.267830	+	0.0706444i	−0.386500	−	0.922289i	$-0.626316\pi$
$683$	−6.99955	+	1.84624i	−0.267830	+	0.0706444i	0.118670	+	0.992934i	$0.462137\pi$
$684$	3.15965	+	0.523246i	0.120812	+	0.0200068i
$685$	−5.91701	+	6.97747i	−0.226077	+	0.266595i
$686$	−4.78151	+	40.6026i	−0.182559	+	1.55022i
$687$	16.2431	−	5.53149i	0.619712	−	0.211039i
$688$	0.737097	−	2.34309i	0.0281016	−	0.0893296i
$689$	45.1435	−	28.4711i	1.71983	−	1.08466i
$690$	−0.0342753	+	1.46169i	−0.00130484	+	0.0556458i
$691$	14.5471	+	11.7612i	0.553399	+	0.447418i	0.864266	−	0.503035i	$-0.167783\pi$
$691$	14.5471	+	11.7612i	0.553399	+	0.447418i	−0.310867	+	0.950454i	$0.600619\pi$
$692$	−10.9718	−	2.62049i	−0.417084	−	0.0996160i
$693$	17.0803	−	43.3774i	0.648826	−	1.64777i
$694$	0.466080	+	1.36863i	0.0176921	+	0.0519526i
$695$	−2.34135	−	0.985936i	−0.0888125	−	0.0373987i
$696$	3.63079	−	7.16732i	0.137625	−	0.271677i
$697$	5.34014	+	6.93132i	0.202272	+	0.262543i
$698$	−24.5731	+	19.8671i	−0.930106	+	0.751982i
$699$	10.3608	−	4.94680i	0.391880	−	0.187105i
$700$	−5.08721	−	17.6027i	−0.192278	−	0.665318i
$701$	−13.5241	+	14.5104i	−0.510798	+	0.548050i	−0.933668	−	0.358141i	$-0.883411\pi$
$701$	−13.5241	+	14.5104i	−0.510798	+	0.548050i	0.422870	+	0.906190i	$0.361023\pi$
$702$	−28.8896	+	5.48292i	−1.09037	+	0.206939i
$703$	10.4573	−	5.60925i	0.394404	−	0.211557i
$704$	−4.42457	+	1.27871i	−0.166757	+	0.0481932i
$705$	5.10807	−	9.00932i	0.192381	−	0.339310i
$706$	6.45045	−	10.2278i	0.242766	−	0.384927i
$707$	1.67670	+	0.237427i	0.0630590	+	0.00892937i
$708$	−2.35759	−	2.41353i	−0.0886038	−	0.0907059i
$709$	21.6268	+	12.9411i	0.812211	+	0.486012i	0.858437	−	0.512919i	$-0.171436\pi$
$709$	21.6268	+	12.9411i	0.812211	+	0.486012i	−0.0462259	+	0.998931i	$0.514719\pi$
$710$	−3.82711	+	4.73365i	−0.143629	+	0.177651i
$711$	6.37634	+	4.45239i	0.239131	+	0.166978i
$712$	−5.00339	+	4.44875i	−0.187510	+	0.166724i
$713$	0.436665	−	4.64266i	0.0163532	−	0.173869i
$714$	−19.5637	−	1.84006i	−0.732152	−	0.0688624i
$715$	11.7539	+	27.9126i	0.439571	+	1.04387i
$716$	4.54934	−	1.66926i	0.170017	−	0.0623831i
$717$	−8.51839	−	0.199748i	−0.318125	−	0.00745972i
$718$	−0.654075	−	3.94967i	−0.0244099	−	0.147400i
$719$	−5.50166	+	19.0368i	−0.205177	+	0.709952i	0.790108	+	0.612967i	$0.210024\pi$
$719$	−5.50166	+	19.0368i	−0.205177	+	0.709952i	−0.995286	+	0.0969845i	$0.969080\pi$
$720$	1.17024	+	1.95568i	0.0436124	+	0.0728839i
$721$	−31.5053	−	37.1517i	−1.17332	−	1.38360i
$722$	−13.9439	+	9.25803i	−0.518939	+	0.344548i
$723$	18.0895	+	16.8600i	0.672757	+	0.627029i
$724$	−1.48488	−	15.7874i	−0.0551850	−	0.586733i
$725$		−	33.1854i		−	1.23248i
$726$	9.48750	−	0.892345i	0.352114	−	0.0331180i
$727$	−5.97055	−	11.1309i	−0.221436	−	0.412821i	0.745997	−	0.665949i	$-0.231973\pi$
$727$	−5.97055	−	11.1309i	−0.221436	−	0.412821i	−0.967433	+	0.253129i	$0.918540\pi$
$728$	−23.1359	−	17.8247i	−0.857475	−	0.660629i
$729$	9.21670	−	1.30512i	0.341359	−	0.0483377i
$730$	−4.43227	+	9.87187i	−0.164046	+	0.365374i
$731$	−10.6389	−	2.27874i	−0.393492	−	0.0842824i
$732$	−7.65352	−	4.10532i	−0.282882	−	0.151737i
$733$	4.02450	+	1.26604i	0.148648	+	0.0467623i	0.373497	−	0.927632i	$-0.378159\pi$
$733$	4.02450	+	1.26604i	0.148648	+	0.0467623i	−0.224848	+	0.974394i	$0.572189\pi$
$734$	−3.71460	+	10.1236i	−0.137108	+	0.373670i
$735$	8.92064	+	12.7754i	0.329043	+	0.471227i
$736$	−0.838042	+	1.20017i	−0.0308906	+	0.0442389i
$737$	−4.18589	−	11.4081i	−0.154189	−	0.420222i
$738$	−0.197144	−	4.20136i	−0.00725696	−	0.154654i
$739$	25.0770	+	9.20134i	0.922473	+	0.338477i	0.761263	−	0.648443i	$-0.224580\pi$
$739$	25.0770	+	9.20134i	0.922473	+	0.338477i	0.161210	+	0.986920i	$0.448460\pi$
$740$	7.85730	+	3.09389i	0.288840	+	0.113734i
$741$	−5.10125	+	6.95249i	−0.187399	+	0.255406i
$742$	−39.0947	−	13.3135i	−1.43521	−	0.488752i
$743$	13.2770	−	27.8079i	0.487087	−	1.02017i	−0.500882	−	0.865516i	$-0.666991\pi$
$743$	13.2770	−	27.8079i	0.487087	−	1.02017i	0.987968	−	0.154657i	$-0.0494271\pi$
$744$	1.34337	+	2.65185i	0.0492502	+	0.0972217i
$745$	0.226679	+	3.21757i	0.00830486	+	0.117882i
$746$	−20.0921	−	24.8514i	−0.735626	−	0.909875i
$747$	5.07053	+	35.8079i	0.185521	+	1.31014i
$748$	7.47441	+	18.9821i	0.273291	+	0.694056i
$749$	−61.0003	+	51.7293i	−2.22890	+	1.89015i
$750$	−7.48050	−	4.71780i	−0.273149	−	0.172270i
$751$	26.7702	−	40.3198i	0.976860	−	1.47129i	0.0974416	−	0.995241i	$-0.468934\pi$
$751$	26.7702	−	40.3198i	0.976860	−	1.47129i	0.879419	−	0.476049i	$-0.157932\pi$
$752$	9.24964	−	4.68564i	0.337300	−	0.170868i
$753$	5.87447	+	22.2716i	0.214078	+	0.811621i
$754$	−31.2918	−	42.6475i	−1.13958	−	1.55313i
$755$	−0.237735	−	0.755716i	−0.00865207	−	0.0275033i
$756$	17.3542	+	14.7167i	0.631166	+	0.535239i
$757$	−10.8854	+	31.9646i	−0.395635	+	1.16177i	0.549612	+	0.835420i	$0.314776\pi$
$757$	−10.8854	+	31.9646i	−0.395635	+	1.16177i	−0.945247	+	0.326355i	$0.894180\pi$
$758$	23.7327	−	26.6916i	0.862011	−	0.969481i
$759$	4.50034	−	4.39605i	0.163352	−	0.159567i
$760$	1.54672	+	0.447007i	0.0561056	+	0.0162146i
$761$	15.7575	−	3.37511i	0.571209	−	0.122348i	0.0852970	−	0.996356i	$-0.472816\pi$
$761$	15.7575	−	3.37511i	0.571209	−	0.122348i	0.485911	+	0.874008i	$0.338488\pi$
$762$	−0.970993	+	4.53331i	−0.0351754	+	0.164224i
$763$	48.7092	+	24.6749i	1.76339	+	0.893291i
$764$	15.9503	−	9.04347i	0.577063	−	0.327181i
$765$	8.13922	−	5.97200i	0.294274	−	0.215918i
$766$	9.05920	+	1.71933i	0.327322	+	0.0621220i
$767$	−21.1889	+	6.66567i	−0.765087	+	0.240683i
$768$	0.0437392	−	0.932132i	0.00157830	−	0.0336354i
$769$	15.2190	−	36.1414i	0.548813	−	1.30

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:	\( N \)	\(=\)	\( 538 = 2 \cdot 269 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	538.e (of order \(134\), degree \(66\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.186460 - 0.982463i) q^{2} +(0.932902 - 0.0218756i) q^{3} +(-0.930465 + 0.366380i) q^{4} +(0.272992 - 1.03498i) q^{5} +(-0.195441 - 0.912462i) q^{6} +(1.94716 + 4.33687i) q^{7} +(0.533449 + 0.845832i) q^{8} +(-2.12688 + 0.0998012i) q^{9} +(-1.06773 - 0.0752222i) q^{10} +(3.06032 + 3.44186i) q^{11} +(-0.860018 + 0.362151i) q^{12} +(-0.431746 + 6.12837i) q^{13} +(3.89774 - 2.72167i) q^{14} +(0.232034 - 0.971508i) q^{15} +(0.731531 - 0.681808i) q^{16} +(-3.31022 - 2.94328i) q^{17} +(0.494628 + 2.07097i) q^{18} +(1.25311 + 0.831998i) q^{19} +(0.125187 + 1.06303i) q^{20} +(1.91138 + 4.00328i) q^{21} +(2.81087 - 3.64842i) q^{22} +(-0.0343154 - 1.46340i) q^{23} +(0.516159 + 0.777409i) q^{24} +(3.35287 + 1.90100i) q^{25} +(6.10139 - 0.718522i) q^{26} +(-4.77454 + 0.336368i) q^{27} +(-3.40071 - 3.32190i) q^{28} +(-4.24660 - 7.48990i) q^{29} +(-0.997735 - 0.0468175i) q^{30} +(3.16377 + 0.372577i) q^{31} +(-0.806252 - 0.591572i) q^{32} +(2.93027 + 3.14397i) q^{33} +(-2.27443 + 3.80097i) q^{34} +(5.02014 - 0.831347i) q^{35} +(1.94242 - 0.872106i) q^{36} +(3.72916 - 6.95224i) q^{37} +(0.583753 - 1.38627i) q^{38} +(-0.268714 + 5.72661i) q^{39} +(1.02105 - 0.321204i) q^{40} +(-1.94072 - 0.368327i) q^{41} +(3.57667 - 2.62431i) q^{42} +(2.13675 - 1.21149i) q^{43} +(-4.10855 - 2.08129i) q^{44} +(-0.477329 + 2.22852i) q^{45} +(-1.43134 + 0.306580i) q^{46} +(9.96111 + 2.87878i) q^{47} +(0.667532 - 0.652062i) q^{48} +(-10.3657 + 11.6580i) q^{49} +(1.24249 - 3.64853i) q^{50} +(-3.15250 - 2.67337i) q^{51} +(-1.84359 - 5.86041i) q^{52} +(-5.13924 - 7.00425i) q^{53} +(1.22073 + 4.62808i) q^{54} +(4.39771 - 2.22777i) q^{55} +(-2.62955 + 3.96047i) q^{56} +(1.18723 + 0.748760i) q^{57} +(-6.56672 + 5.56869i) q^{58} +(1.32468 + 3.36419i) q^{59} +(0.140041 + 0.988967i) q^{60} +(5.85153 + 7.23759i) q^{61} +(-0.223874 - 3.17776i) q^{62} +(-4.57420 - 9.02965i) q^{63} +(-0.430864 + 0.902417i) q^{64} +(6.22488 + 2.11985i) q^{65} +(2.54246 - 3.46511i) q^{66} +(-2.45499 - 0.966678i) q^{67} +(4.15841 + 1.52582i) q^{68} +(-0.0640257 - 1.36446i) q^{69} +(-1.75282 - 4.77708i) q^{70} +(3.25584 - 4.66274i) q^{71} +(-1.21900 - 1.74574i) q^{72} +(3.48246 - 9.49098i) q^{73} +(-7.52566 - 2.36744i) q^{74} +(3.16948 + 1.70010i) q^{75} +(-1.47080 - 0.315032i) q^{76} +(-8.96795 + 19.9741i) q^{77} +(5.67628 - 0.803782i) q^{78} +(-2.89338 - 2.22917i) q^{79} +(-0.505956 - 0.943250i) q^{80} +(1.91277 - 0.179905i) q^{81} +1.97537i q^{82} +(-1.59052 - 16.9106i) q^{83} +(-3.24520 - 3.02462i) q^{84} +(-3.94990 + 2.62253i) q^{85} +(-1.58866 - 1.87338i) q^{86} +(-4.12551 - 6.89444i) q^{87} +(-1.27871 + 4.42457i) q^{88} +(1.09384 + 6.60521i) q^{89} +(2.27844 + 0.0534272i) q^{90} +(-27.4186 + 10.0605i) q^{91} +(0.568091 + 1.34907i) q^{92} +(2.95964 + 0.278368i) q^{93} +(0.970945 - 10.3232i) q^{94} +(1.20319 - 1.06981i) q^{95} +(-0.765095 - 0.534241i) q^{96} +(0.866403 - 1.07163i) q^{97} +(13.3863 + 8.01013i) q^{98} +(-6.85242 - 7.01499i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1452 q + 22 q^{4} - 2 q^{5} + 2 q^{6} + 20 q^{9} + 2 q^{11} - 10 q^{13} + 12 q^{14} - 22 q^{16} + 2 q^{20} + 12 q^{21} - 4 q^{23} - 2 q^{24} - 24 q^{25} - 8 q^{30} - 12 q^{34} - 20 q^{36} - 396 q^{37} - 2 q^{38}+ \cdots + 18 q^{99}+O(q^{100}) \) 1452 * q + 22 * q^4 - 2 * q^5 + 2 * q^6 + 20 * q^9 + 2 * q^11 - 10 * q^13 + 12 * q^14 - 22 * q^16 + 2 * q^20 + 12 * q^21 - 4 * q^23 - 2 * q^24 - 24 * q^25 - 8 * q^30 - 12 * q^34 - 20 * q^36 - 396 * q^37 - 2 * q^38 + 24 * q^41 + 14 * q^43 - 2 * q^44 - 42 * q^45 - 402 * q^47 + 22 * q^49 + 12 * q^51 + 10 * q^52 - 10 * q^53 - 8 * q^54 - 4 * q^55 - 12 * q^56 + 16 * q^57 - 18 * q^58 - 268 * q^60 - 2 * q^61 + 4 * q^62 + 22 * q^64 + 16 * q^65 + 40 * q^66 + 6 * q^67 - 106 * q^73 + 40 * q^78 + 40 * q^79 - 2 * q^80 - 14 * q^81 - 402 * q^83 - 12 * q^84 - 100 * q^87 + 4 * q^92 - 340 * q^93 + 2 * q^96 - 64 * q^97 + 18 * q^99

Introduction

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