LMFDB - Embedded newform 189.2.be.a.167.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(20,189)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(189, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([7, 9]))

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

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

chi := DirichletCharacter("189.20");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.be (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			167.3
Character	$\chi$	$=$	189.167
Dual form			189.2.be.a.146.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.49103 - 1.77694i) q^{2} +(-0.601829 + 1.62413i) q^{3} +(-0.587052 + 3.32934i) q^{4} +(-1.83346 + 0.667325i) q^{5} +(3.78333 - 1.35222i) q^{6} +(1.75588 - 1.97911i) q^{7} +(2.77363 - 1.60135i) q^{8} +(-2.27560 - 1.95490i) q^{9} +O(q^{10})$	\(q+(-1.49103 - 1.77694i) q^{2} +(-0.601829 + 1.62413i) q^{3} +(-0.587052 + 3.32934i) q^{4} +(-1.83346 + 0.667325i) q^{5} +(3.78333 - 1.35222i) q^{6} +(1.75588 - 1.97911i) q^{7} +(2.77363 - 1.60135i) q^{8} +(-2.27560 - 1.95490i) q^{9} +(3.91954 + 2.26295i) q^{10} +(1.80185 - 4.95054i) q^{11} +(-5.05397 - 2.95714i) q^{12} +(2.93306 - 3.49549i) q^{13} +(-6.13484 - 0.169181i) q^{14} +(0.0196059 - 3.37939i) q^{15} +(-0.627449 - 0.228373i) q^{16} +(0.614120 - 1.06369i) q^{17} +(-0.0807429 + 6.95843i) q^{18} +(-1.16308 + 0.671503i) q^{19} +(-1.14541 - 6.49596i) q^{20} +(2.15760 + 4.04287i) q^{21} +(-11.4834 + 4.17963i) q^{22} +(3.17088 + 0.559111i) q^{23} +(0.931561 + 5.46848i) q^{24} +(-0.913971 + 0.766913i) q^{25} -10.5846 q^{26} +(4.54453 - 2.51937i) q^{27} +(5.55833 + 7.00776i) q^{28} +(-0.263712 - 0.314280i) q^{29} +(-6.03422 + 5.00394i) q^{30} +(-8.34120 - 1.47078i) q^{31} +(-1.66104 - 4.56367i) q^{32} +(6.95592 + 5.90581i) q^{33} +(-2.80578 + 0.494735i) q^{34} +(-1.89863 + 4.80036i) q^{35} +(7.84441 - 6.42863i) q^{36} +(5.01682 - 8.68938i) q^{37} +(2.92740 + 1.06549i) q^{38} +(3.91193 + 6.86737i) q^{39} +(-4.01671 + 4.78693i) q^{40} +(4.15962 + 3.49034i) q^{41} +(3.96690 - 9.86197i) q^{42} +(2.21529 + 0.806299i) q^{43} +(15.4242 + 8.90518i) q^{44} +(5.47678 + 2.06566i) q^{45} +(-3.73437 - 6.46811i) q^{46} +(0.110413 + 0.626183i) q^{47} +(0.748524 - 0.881618i) q^{48} +(-0.833765 - 6.95017i) q^{49} +(2.72552 + 0.480583i) q^{50} +(1.35797 + 1.63757i) q^{51} +(9.91580 + 11.8172i) q^{52} -6.55301i q^{53} +(-11.2528 - 4.31892i) q^{54} +10.2790i q^{55} +(1.70090 - 8.30111i) q^{56} +(-0.390635 - 2.29312i) q^{57} +(-0.165254 + 0.937202i) q^{58} +(-0.369019 + 0.134312i) q^{59} +(11.2396 + 2.04915i) q^{60} +(-13.5915 + 2.39655i) q^{61} +(9.82350 + 17.0148i) q^{62} +(-7.86465 + 1.07111i) q^{63} +(-6.30044 + 10.9127i) q^{64} +(-3.04503 + 8.36614i) q^{65} +(0.122797 - 21.1660i) q^{66} +(-0.495669 - 0.415916i) q^{67} +(3.18085 + 2.66905i) q^{68} +(-2.81639 + 4.81343i) q^{69} +(11.3609 - 3.78374i) q^{70} +(5.77582 + 3.33467i) q^{71} +(-9.44216 - 1.77811i) q^{72} +(11.6665 - 6.73566i) q^{73} +(-22.9208 + 4.04155i) q^{74} +(-0.695513 - 1.94596i) q^{75} +(-1.55287 - 4.26648i) q^{76} +(-6.63383 - 12.2586i) q^{77} +(6.37010 - 17.1907i) q^{78} +(-4.65068 + 3.90239i) q^{79} +1.30280 q^{80} +(1.35675 + 8.89715i) q^{81} -12.5956i q^{82} +(-12.2350 + 10.2664i) q^{83} +(-14.7267 + 4.80999i) q^{84} +(-0.416139 + 2.36004i) q^{85} +(-1.87032 - 5.13865i) q^{86} +(0.669141 - 0.239160i) q^{87} +(-2.92991 - 16.6163i) q^{88} +(-0.131875 - 0.228415i) q^{89} +(-4.49549 - 12.8119i) q^{90} +(-1.76785 - 11.9425i) q^{91} +(-3.72294 + 10.2287i) q^{92} +(7.40871 - 12.6620i) q^{93} +(0.948062 - 1.12986i) q^{94} +(1.68434 - 2.00732i) q^{95} +(8.41167 + 0.0488012i) q^{96} +(2.51853 - 6.91962i) q^{97} +(-11.1069 + 11.8445i) q^{98} +(-13.7781 + 7.74303i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 12 q^{2} - 12 q^{4} - 6 q^{7} - 18 q^{8} - 6 q^{9}+O(q^{10}) $ 132 * q - 12 * q^2 - 12 * q^4 - 6 * q^7 - 18 * q^8 - 6 * q^9	$ 132 q - 12 q^{2} - 12 q^{4} - 6 q^{7} - 18 q^{8} - 6 q^{9} - 18 q^{11} + 3 q^{14} - 24 q^{15} - 24 q^{16} - 12 q^{18} - 12 q^{21} - 12 q^{22} + 12 q^{23} - 12 q^{25} - 12 q^{28} - 48 q^{29} + 42 q^{30} - 6 q^{32} - 36 q^{35} - 36 q^{36} - 6 q^{37} - 18 q^{39} - 12 q^{43} - 18 q^{44} - 6 q^{46} - 24 q^{49} + 18 q^{50} + 24 q^{51} + 57 q^{56} - 12 q^{58} - 6 q^{60} + 21 q^{63} + 18 q^{64} + 78 q^{65} - 12 q^{67} - 69 q^{70} + 18 q^{71} + 114 q^{72} - 6 q^{74} - 57 q^{77} + 12 q^{78} + 24 q^{79} - 42 q^{81} - 48 q^{84} + 54 q^{85} - 42 q^{86} - 72 q^{88} + 6 q^{91} - 120 q^{92} - 60 q^{93} + 126 q^{95} + 126 q^{98} - 192 q^{99}+O(q^{100}) $ 132 * q - 12 * q^2 - 12 * q^4 - 6 * q^7 - 18 * q^8 - 6 * q^9 - 18 * q^11 + 3 * q^14 - 24 * q^15 - 24 * q^16 - 12 * q^18 - 12 * q^21 - 12 * q^22 + 12 * q^23 - 12 * q^25 - 12 * q^28 - 48 * q^29 + 42 * q^30 - 6 * q^32 - 36 * q^35 - 36 * q^36 - 6 * q^37 - 18 * q^39 - 12 * q^43 - 18 * q^44 - 6 * q^46 - 24 * q^49 + 18 * q^50 + 24 * q^51 + 57 * q^56 - 12 * q^58 - 6 * q^60 + 21 * q^63 + 18 * q^64 + 78 * q^65 - 12 * q^67 - 69 * q^70 + 18 * q^71 + 114 * q^72 - 6 * q^74 - 57 * q^77 + 12 * q^78 + 24 * q^79 - 42 * q^81 - 48 * q^84 + 54 * q^85 - 42 * q^86 - 72 * q^88 + 6 * q^91 - 120 * q^92 - 60 * q^93 + 126 * q^95 + 126 * q^98 - 192 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.49103	−	1.77694i	−1.05432	−	1.25649i	−0.965490	−	0.260441i	$-0.916132\pi$
$2$	−1.49103	−	1.77694i	−1.05432	−	1.25649i	−0.0888285	−	0.996047i	$-0.528312\pi$
$3$	−0.601829	+	1.62413i	−0.347466	+	0.937693i
$3$	−0.601829	+	1.62413i	−0.347466	+	0.937693i
$4$	−0.587052	+	3.32934i	−0.293526	+	1.66467i
$5$	−1.83346	+	0.667325i	−0.819948	+	0.298437i	−0.717727	−	0.696325i	$-0.754817\pi$
$5$	−1.83346	+	0.667325i	−0.819948	+	0.298437i	−0.102221	+	0.994762i	$0.532595\pi$
$6$	3.78333	−	1.35222i	1.54454	−	0.552040i
$7$	1.75588	−	1.97911i	0.663661	−	0.748034i
$7$	1.75588	−	1.97911i	0.663661	−	0.748034i
$8$	2.77363	−	1.60135i	0.980626	−	0.566164i
$9$	−2.27560	−	1.95490i	−0.758535	−	0.651633i
$10$	3.91954	+	2.26295i	1.23947	+	0.715607i
$11$	1.80185	−	4.95054i	0.543278	−	1.49264i	−0.299348	−	0.954144i	$-0.596769\pi$
$11$	1.80185	−	4.95054i	0.543278	−	1.49264i	0.842626	−	0.538499i	$-0.181008\pi$
$12$	−5.05397	−	2.95714i	−1.45896	−	0.853653i
$13$	2.93306	−	3.49549i	0.813486	−	0.969474i	−0.186430	−	0.982468i	$-0.559692\pi$
$13$	2.93306	−	3.49549i	0.813486	−	0.969474i	0.999916	+	0.0129939i	$0.00413621\pi$
$14$	−6.13484	−	0.169181i	−1.63960	−	0.0452155i
$15$	0.0196059	−	3.37939i	0.00506222	−	0.872556i
$16$	−0.627449	−	0.228373i	−0.156862	−	0.0570932i
$17$	0.614120	−	1.06369i	0.148946	−	0.257982i	−0.781892	−	0.623414i	$-0.785745\pi$
$17$	0.614120	−	1.06369i	0.148946	−	0.257982i	0.930838	+	0.365432i	$0.119079\pi$
$18$	−0.0807429	+	6.95843i	−0.0190313	+	1.64012i
$19$	−1.16308	+	0.671503i	−0.266828	+	0.154053i	−0.627445	−	0.778661i	$-0.715899\pi$
$19$	−1.16308	+	0.671503i	−0.266828	+	0.154053i	0.360617	+	0.932714i	$0.382566\pi$
$20$	−1.14541	−	6.49596i	−0.256122	−	1.45254i
$21$	2.15760	+	4.04287i	0.470826	+	0.882226i
$22$	−11.4834	+	4.17963i	−2.44827	+	0.891099i
$23$	3.17088	+	0.559111i	0.661173	+	0.116583i	0.494159	−	0.869372i	$-0.335476\pi$
$23$	3.17088	+	0.559111i	0.661173	+	0.116583i	0.167015	+	0.985954i	$0.446587\pi$
$24$	0.931561	+	5.46848i	0.190154	+	1.11625i
$25$	−0.913971	+	0.766913i	−0.182794	+	0.153383i
$26$	−10.5846			−2.07581
$27$	4.54453	−	2.51937i	0.874596	−	0.484852i
$28$	5.55833	+	7.00776i	1.05043	+	1.32434i
$29$	−0.263712	−	0.314280i	−0.0489701	−	0.0583603i	0.741003	−	0.671501i	$-0.234350\pi$
$29$	−0.263712	−	0.314280i	−0.0489701	−	0.0583603i	−0.789974	+	0.613141i	$0.789906\pi$
$30$	−6.03422	+	5.00394i	−1.10169	+	0.913591i
$31$	−8.34120	−	1.47078i	−1.49812	−	0.264160i	−0.636330	−	0.771417i	$-0.719548\pi$
$31$	−8.34120	−	1.47078i	−1.49812	−	0.264160i	−0.861794	+	0.507258i	$0.830659\pi$
$32$	−1.66104	−	4.56367i	−0.293633	−	0.806751i
$33$	6.95592	+	5.90581i	1.21087	+	1.02807i
$34$	−2.80578	+	0.494735i	−0.481187	+	0.0848463i
$35$	−1.89863	+	4.80036i	−0.320926	+	0.811409i
$36$	7.84441	−	6.42863i	1.30740	−	1.07144i
$37$	5.01682	−	8.68938i	0.824759	−	1.42853i	−0.0773437	−	0.997004i	$-0.524644\pi$
$37$	5.01682	−	8.68938i	0.824759	−	1.42853i	0.902103	−	0.431521i	$-0.142023\pi$
$38$	2.92740	+	1.06549i	0.474888	+	0.172845i
$39$	3.91193	+	6.86737i	0.626410	+	1.09966i
$40$	−4.01671	+	4.78693i	−0.635098	+	0.756880i
$41$	4.15962	+	3.49034i	0.649624	+	0.545099i	0.906957	−	0.421223i	$-0.138399\pi$
$41$	4.15962	+	3.49034i	0.649624	+	0.545099i	−0.257333	+	0.966323i	$0.582844\pi$
$42$	3.96690	−	9.86197i	0.612105	−	1.52173i
$43$	2.21529	+	0.806299i	0.337828	+	0.122959i	0.505363	−	0.862907i	$-0.331359\pi$
$43$	2.21529	+	0.806299i	0.337828	+	0.122959i	−0.167535	+	0.985866i	$0.553581\pi$
$44$	15.4242	+	8.90518i	2.32529	+	1.34251i
$45$	5.47678	+	2.06566i	0.816430	+	0.307930i
$46$	−3.73437	−	6.46811i	−0.550602	−	0.953671i
$47$	0.110413	+	0.626183i	0.0161054	+	0.0913382i	0.991801	−	0.127792i	$-0.0407891\pi$
$47$	0.110413	+	0.626183i	0.0161054	+	0.0913382i	−0.975696	+	0.219130i	$0.929678\pi$
$48$	0.748524	−	0.881618i	0.108040	−	0.127251i
$49$	−0.833765	−	6.95017i	−0.119109	−	0.992881i
$50$	2.72552	+	0.480583i	0.385447	+	0.0679646i
$51$	1.35797	+	1.63757i	0.190154	+	0.229305i
$52$	9.91580	+	11.8172i	1.37507	+	1.63875i
$53$		−	6.55301i		−	0.900125i	−0.892997	−	0.450062i	$-0.851402\pi$
$53$		−	6.55301i		−	0.900125i	0.892997	−	0.450062i	$-0.148598\pi$
$54$	−11.2528	−	4.31892i	−1.53131	−	0.587731i
$55$			10.2790i			1.38602i
$56$	1.70090	−	8.30111i	0.227292	−	1.10928i
$57$	−0.390635	−	2.29312i	−0.0517409	−	0.303731i
$58$	−0.165254	+	0.937202i	−0.0216989	+	0.123061i
$59$	−0.369019	+	0.134312i	−0.0480422	+	0.0174859i	−0.365929	−	0.930643i	$-0.619249\pi$
$59$	−0.369019	+	0.134312i	−0.0480422	+	0.0174859i	0.317887	+	0.948129i	$0.397027\pi$
$60$	11.2396	+	2.04915i	1.45103	+	0.264545i
$61$	−13.5915	+	2.39655i	−1.74021	+	0.306846i	−0.951439	−	0.307838i	$-0.900394\pi$
$61$	−13.5915	+	2.39655i	−1.74021	+	0.306846i	−0.788773	+	0.614685i	$0.789283\pi$
$62$	9.82350	+	17.0148i	1.24759	+	2.16088i
$63$	−7.86465	+	1.07111i	−0.990853	+	0.134947i
$64$	−6.30044	+	10.9127i	−0.787555	+	1.36408i
$65$	−3.04503	+	8.36614i	−0.377689	+	1.03769i
$66$	0.122797	−	21.1660i	0.0151152	−	2.60536i
$67$	−0.495669	−	0.415916i	−0.0605557	−	0.0508122i	0.612007	−	0.790852i	$-0.290362\pi$
$67$	−0.495669	−	0.415916i	−0.0605557	−	0.0508122i	−0.672563	+	0.740040i	$0.734807\pi$
$68$	3.18085	+	2.66905i	0.385735	+	0.323670i
$69$	−2.81639	+	4.81343i	−0.339054	+	0.579469i
$70$	11.3609	−	3.78374i	1.35788	−	0.452244i
$71$	5.77582	+	3.33467i	0.685463	+	0.395753i	0.801910	−	0.597444i	$-0.203817\pi$
$71$	5.77582	+	3.33467i	0.685463	+	0.395753i	−0.116447	+	0.993197i	$0.537150\pi$
$72$	−9.44216	−	1.77811i	−1.11277	−	0.209552i
$73$	11.6665	−	6.73566i	1.36546	−	0.788350i	0.375117	−	0.926977i	$-0.377602\pi$
$73$	11.6665	−	6.73566i	1.36546	−	0.788350i	0.990345	+	0.138628i	$0.0442691\pi$
$74$	−22.9208	+	4.04155i	−2.66448	+	0.469820i
$75$	−0.695513	−	1.94596i	−0.0803109	−	0.224700i
$76$	−1.55287	−	4.26648i	−0.178127	−	0.489399i
$77$	−6.63383	−	12.2586i	−0.755996	−	1.39700i
$78$	6.37010	−	17.1907i	0.721272	−	1.94647i
$79$	−4.65068	+	3.90239i	−0.523243	+	0.439053i	−0.865760	−	0.500459i	$-0.833165\pi$
$79$	−4.65068	+	3.90239i	−0.523243	+	0.439053i	0.342518	+	0.939511i	$0.388720\pi$
$80$	1.30280			0.145658
$81$	1.35675	+	8.89715i	0.150750	+	0.988572i
$82$		−	12.5956i		−	1.39095i
$83$	−12.2350	+	10.2664i	−1.34297	+	1.12688i	−0.362112	+	0.932135i	$0.617944\pi$
$83$	−12.2350	+	10.2664i	−1.34297	+	1.12688i	−0.980854	+	0.194747i	$0.937611\pi$
$84$	−14.7267	+	4.80999i	−1.60681	+	0.524813i
$85$	−0.416139	+	2.36004i	−0.0451366	+	0.255983i
$86$	−1.87032	−	5.13865i	−0.201681	−	0.554115i
$87$	0.669141	−	0.239160i	0.0717395	−	0.0256407i
$88$	−2.92991	−	16.6163i	−0.312329	−	1.77131i
$89$	−0.131875	−	0.228415i	−0.0139787	−	0.0242119i	0.858951	−	0.512057i	$-0.171116\pi$
$89$	−0.131875	−	0.228415i	−0.0139787	−	0.0242119i	−0.872930	+	0.487845i	$0.837783\pi$
$90$	−4.49549	−	12.8119i	−0.473867	−	1.35049i
$91$	−1.76785	−	11.9425i	−0.185321	−	1.25192i
$92$	−3.72294	+	10.2287i	−0.388143	+	1.06641i
$93$	7.40871	−	12.6620i	0.768248	−	1.31299i
$94$	0.948062	−	1.12986i	0.0977851	−	0.116536i
$95$	1.68434	−	2.00732i	0.172810	−	0.205947i
$96$	8.41167	+	0.0488012i	0.858512	+	0.00498075i
$97$	2.51853	−	6.91962i	0.255718	−	0.702581i	−0.743701	−	0.668512i	$-0.766931\pi$
$97$	2.51853	−	6.91962i	0.255718	−	0.702581i	0.999420	−	0.0340684i	$-0.0108464\pi$
$98$	−11.1069	+	11.8445i	−1.12196	+	1.19647i
$99$	−13.7781	+	7.74303i	−1.38475	+	0.778204i
$100$	−2.01676	−	3.49314i	−0.201676	−	0.349314i
$101$	−0.783617	−	4.44411i	−0.0779728	−	0.442206i	−0.998653	−	0.0518879i	$-0.983476\pi$
$101$	−0.783617	−	4.44411i	−0.0779728	−	0.442206i	0.920680	−	0.390318i	$-0.127635\pi$
$102$	0.885085	−	4.85470i	0.0876365	−	0.480687i
$103$	4.09948	+	11.2632i	0.403934	+	1.10980i	0.960326	+	0.278880i	$0.0899632\pi$
$103$	4.09948	+	11.2632i	0.403934	+	1.10980i	−0.556392	+	0.830920i	$0.687815\pi$
$104$	2.53771	−	14.3921i	0.248843	−	1.41126i
$105$	−6.65377	−	5.97261i	−0.649342	−	0.582868i
$106$	−11.6443	+	9.77074i	−1.13100	+	0.949018i
$107$			7.90582i			0.764284i	0.924104	+	0.382142i	$0.124814\pi$
$107$			7.90582i			0.764284i	−0.924104	+	0.382142i	$0.875186\pi$
$108$	5.71994	+	16.6093i	0.550401	+	1.59823i
$109$	11.4907			1.10061			0.550306	−	0.834963i	$-0.314511\pi$
$109$	11.4907			1.10061			0.550306	+	0.834963i	$0.314511\pi$
$110$	18.2652	−	15.3263i	1.74152	−	1.46131i
$111$	11.0934	+	13.3775i	1.05294	+	1.26973i
$112$	−1.55370	+	0.840796i	−0.146811	+	0.0794477i
$113$	−0.992052	−	2.72564i	−0.0933244	−	0.256407i	0.884244	−	0.467025i	$-0.154674\pi$
$113$	−0.992052	−	2.72564i	−0.0933244	−	0.256407i	−0.977568	+	0.210619i	$0.932452\pi$
$114$	−3.49229	+	4.11325i	−0.327083	+	0.385241i
$115$	−6.18678	+	1.09090i	−0.576920	+	0.101727i
$116$	1.20116	−	0.693488i	0.111525	−	0.0643887i
$117$	−13.5078	+	2.22051i	−1.24880	+	0.205286i
$118$	0.788883	+	0.455462i	0.0726226	+	0.0419287i
$119$	−1.02683	−	3.08312i	−0.0941296	−	0.282629i
$120$	−5.35723	−	9.40458i	−0.489046	−	0.858516i
$121$	−12.8347	−	10.7696i	−1.16679	−	0.979051i
$122$	24.5239	+	20.5780i	2.22029	+	1.86304i
$123$	−8.17215	+	4.65519i	−0.736858	+	0.419744i
$124$	9.79344	−	26.9072i	0.879476	−	2.41634i
$125$	6.04177	−	10.4646i	0.540392	−	0.935986i
$126$	13.6297	+	12.3780i	1.21423	+	1.10272i
$127$	5.36329	+	9.28949i	0.475915	+	0.824309i	0.999619	−	0.0275910i	$-0.00878362\pi$
$127$	5.36329	+	9.28949i	0.475915	+	0.824309i	−0.523704	+	0.851900i	$0.675450\pi$
$128$	19.2198	−	3.38897i	1.69880	−	0.299545i
$129$	−2.64276	+	3.11266i	−0.232682	+	0.274055i
$130$	19.4064	−	7.06334i	1.70205	−	0.619496i
$131$	0.367203	−	2.08251i	0.0320827	−	0.181950i	−0.964555	−	0.263881i	$-0.914998\pi$
$131$	0.367203	−	2.08251i	0.0320827	−	0.181950i	0.996638	+	0.0819308i	$0.0261086\pi$
$132$	−23.7459	+	19.6916i	−2.06682	+	1.71393i
$133$	−0.713245	+	3.48094i	−0.0618462	+	0.301835i
$134$			1.50092i			0.129660i
$135$	−6.65098	+	7.65183i	−0.572426	+	0.658565i
$136$		−	3.93369i		−	0.337311i
$137$	11.8119	+	14.0768i	1.00916	+	1.20267i	0.979155	+	0.203117i	$0.0651070\pi$
$137$	11.8119	+	14.0768i	1.00916	+	1.20267i	0.0300024	+	0.999550i	$0.490449\pi$
$138$	12.7525	−	2.17241i	1.08557	−	0.184927i
$139$	−3.54977	−	0.625920i	−0.301087	−	0.0530898i	0.0210637	−	0.999778i	$-0.493295\pi$
$139$	−3.54977	−	0.625920i	−0.301087	−	0.0530898i	−0.322151	+	0.946688i	$0.604406\pi$
$140$	−14.8674	−	9.13923i	−1.25653	−	0.772406i
$141$	−1.08345	−	0.197530i	−0.0912432	−	0.0166350i
$142$	−2.68641	−	15.2354i	−0.225439	−	1.27853i
$143$	−12.0196	−	20.8186i	−1.00513	−	1.74094i
$144$	0.981380	+	1.74628i	0.0817816	+	0.145524i
$145$	0.693232	+	0.400238i	0.0575698	+	0.0332379i
$146$	−29.3640	−	10.6876i	−2.43018	−	0.884514i
$147$	11.7898	+	2.82867i	0.972404	+	0.233305i
$148$	25.9847	+	21.8038i	2.13593	+	1.79226i
$149$	0.915387	−	1.09092i	0.0749914	−	0.0893713i	−0.727244	−	0.686379i	$-0.759199\pi$
$149$	0.915387	−	1.09092i	0.0749914	−	0.0893713i	0.802236	+	0.597007i	$0.203644\pi$
$150$	−2.42083	+	4.13737i	−0.197660	+	0.337815i
$151$	7.00983	+	2.55137i	0.570452	+	0.207628i	0.611110	−	0.791546i	$-0.290723\pi$
$151$	7.00983	+	2.55137i	0.570452	+	0.207628i	−0.0406581	+	0.999173i	$0.512945\pi$
$152$	−2.15063	+	3.72500i	−0.174439	+	0.302137i
$153$	−3.47689	+	1.21999i	−0.281090	+	0.0986302i
$154$	−11.8916	+	30.0659i	−0.958251	+	2.42278i
$155$	16.2747	−	2.86968i	1.30722	−	0.230498i
$156$	−25.1603	+	8.99263i	−2.01443	+	0.719987i
$157$	−5.26305	−	14.4601i	−0.420037	−	1.15404i	−0.951685	−	0.307077i	$-0.900649\pi$
$157$	−5.26305	−	14.4601i	−0.420037	−	1.15404i	0.531647	−	0.846966i	$-0.321573\pi$
$158$	13.8686	+	2.44541i	1.10333	+	0.194547i
$159$	10.6429	+	3.94379i	0.844040	+	0.312763i
$160$	6.09090	+	7.25886i	0.481528	+	0.573863i
$161$	6.67422	−	5.29378i	0.526002	−	0.417209i
$162$	13.7868	−	15.6768i	1.08319	−	1.23168i
$163$	−3.74117			−0.293031			−0.146515	−	0.989208i	$-0.546806\pi$
$163$	−3.74117			−0.293031			−0.146515	+	0.989208i	$0.546806\pi$
$164$	−14.0624	+	11.7998i	−1.09809	+	0.921408i
$165$	−16.6945	−	6.18621i	−1.29966	−	0.481596i
$166$	36.4855	+	6.43338i	2.83183	+	0.499327i
$167$	15.6836	−	5.70836i	1.21363	−	0.441726i	0.345671	−	0.938356i	$-0.387651\pi$
$167$	15.6836	−	5.70836i	1.21363	−	0.441726i	0.867963	+	0.496630i	$0.165429\pi$
$168$	12.4584	+	7.75833i	0.961189	+	0.598568i
$169$	−1.35816	−	7.70249i	−0.104474	−	0.592499i
$170$	4.81414	−	2.77944i	0.369227	−	0.213174i
$171$	3.95942	+	0.745622i	0.302784	+	0.0570191i
$172$	−3.98493	+	6.90210i	−0.303848	+	0.526280i
$173$	15.9509	+	5.80566i	1.21273	+	0.441396i	0.867648	−	0.497178i	$-0.165630\pi$
$173$	15.9509	+	5.80566i	1.21273	+	0.441396i	0.345077	+	0.938574i	$0.387853\pi$
$174$	−1.42268	−	0.832429i	−0.107853	−	0.0631063i
$175$	−0.0870184	+	3.15546i	−0.00657797	+	0.238530i
$176$	−2.26113	+	2.69472i	−0.170439	+	0.203122i
$177$	0.00394606	−	0.680168i	0.000296604	−	0.0511245i
$178$	−0.209249	+	0.574908i	−0.0156839	+	0.0430912i
$179$	−15.2129	−	8.78315i	−1.13706	−	0.656484i	−0.191362	−	0.981520i	$-0.561290\pi$
$179$	−15.2129	−	8.78315i	−1.13706	−	0.656484i	−0.945702	+	0.325036i	$0.894624\pi$
$180$	−10.0924	+	17.0214i	−0.752245	+	1.26870i
$181$	−2.74133	+	1.58271i	−0.203761	+	0.117642i	−0.598409	−	0.801191i	$-0.704200\pi$
$181$	−2.74133	+	1.58271i	−0.203761	+	0.117642i	0.394647	+	0.918833i	$0.370867\pi$
$182$	−18.5852	+	20.9480i	−1.37763	+	1.55277i
$183$	4.28744	−	23.5167i	0.316937	−	1.73840i
$184$	9.69016	−	3.52693i	0.714368	−	0.260009i
$185$	−3.39949	+	19.2795i	−0.249935	+	1.41745i
$186$	−33.5463	+	5.71466i	−2.45974	+	0.419019i
$187$	−4.15927	−	4.95682i	−0.304156	−	0.362479i
$188$	−2.14959			−0.156775
$189$	2.99356	−	13.4178i	0.217749	−	0.976005i
$190$	−6.07830			−0.440966
$191$	4.54355	+	5.41479i	0.328760	+	0.391801i	0.904952	−	0.425513i	$-0.139906\pi$
$191$	4.54355	+	5.41479i	0.328760	+	0.391801i	−0.576192	+	0.817314i	$0.695462\pi$
$192$	−13.9318	−	16.8003i	−1.00544	−	1.21246i
$193$	−1.73826	+	9.85816i	−0.125123	+	0.709606i	0.856112	+	0.516790i	$0.172873\pi$
$193$	−1.73826	+	9.85816i	−0.125123	+	0.709606i	−0.981235	+	0.192816i	$0.938238\pi$
$194$	−16.0510	+	5.84208i	−1.15239	+	0.419437i
$195$	−11.7551	−	9.98051i	−0.841802	−	0.714719i
$196$	23.6289	+	1.30423i	1.68778	+	0.0931590i
$197$	−13.1999	+	7.62099i	−0.940457	+	0.542973i	−0.890103	−	0.455759i	$-0.849368\pi$
$197$	−13.1999	+	7.62099i	−0.940457	+	0.542973i	−0.0503531	+	0.998731i	$0.516035\pi$
$198$	34.3025	+	12.9378i	2.43777	+	0.919446i
$199$	5.52603	+	3.19046i	0.391730	+	0.226166i	0.682910	−	0.730503i	$-0.260714\pi$
$199$	5.52603	+	3.19046i	0.391730	+	0.226166i	−0.291179	+	0.956668i	$0.594048\pi$
$200$	−1.30692	+	3.59072i	−0.0924130	+	0.253902i
$201$	0.973810	−	0.554722i	0.0686873	−	0.0391271i
$202$	−6.72854	+	8.01876i	−0.473418	+	0.564198i
$203$	−1.08504	−	0.0299223i	−0.0761550	−	0.00210013i
$204$	−6.24921	+	3.55981i	−0.437533	+	0.249236i
$205$	−9.95569	−	3.62358i	−0.695336	−	0.253081i
$206$	13.9017	−	24.0784i	0.968575	−	1.67762i
$207$	−6.12265	−	7.47105i	−0.425554	−	0.519274i
$208$	−2.63862	+	1.52341i	−0.182955	+	0.105629i
$209$	1.22861	+	6.96780i	0.0849848	+	0.481973i
$210$	−0.692008	+	20.7287i	−0.0477531	+	1.43042i
$211$	−14.2575	+	5.18929i	−0.981523	+	0.357245i	−0.782432	−	0.622736i	$-0.786021\pi$
$211$	−14.2575	+	5.18929i	−0.981523	+	0.357245i	−0.199091	+	0.979981i	$0.563799\pi$
$212$	21.8172	+	3.84695i	1.49841	+	0.264210i
$213$	−8.89200	+	7.37379i	−0.609269	+	0.505243i
$214$	14.0482	−	11.7878i	0.960314	−	0.805799i
$215$	−4.59970			−0.313697
$216$	8.57045	−	14.2652i	0.583145	−	0.970624i
$217$	−17.5570	+	13.9257i	−1.19185	+	0.945335i
$218$	−17.1330	−	20.4184i	−1.16040	−	1.38291i
$219$	3.91836	+	23.0017i	0.264778	+	1.55431i
$220$	−34.2223	−	6.03432i	−2.30727	−	0.406834i
$221$	−1.91685	−	5.26651i	−0.128941	−	0.354264i
$222$	7.23037	−	39.6586i	0.485270	−	2.66171i
$223$	6.93557	−	1.22293i	0.464440	−	0.0818933i	0.0634686	−	0.997984i	$-0.479784\pi$
$223$	6.93557	−	1.22293i	0.464440	−	0.0818933i	0.400972	+	0.916090i	$0.368673\pi$
$224$	−11.9486	−	4.72588i	−0.798350	−	0.315761i
$225$	3.57907	+	0.0415301i	0.238605	+	0.00276868i
$226$	−3.36412	+	5.82683i	−0.223778	+	0.387595i
$227$	−5.34968	−	1.94712i	−0.355071	−	0.129235i	0.158325	−	0.987387i	$-0.449391\pi$
$227$	−5.34968	−	1.94712i	−0.355071	−	0.129235i	−0.513396	+	0.858152i	$0.671613\pi$
$228$	7.86389	+	0.0456232i	0.520799	+	0.00302147i
$229$	4.00779	−	4.77629i	0.264842	−	0.315626i	−0.617192	−	0.786813i	$-0.711730\pi$
$229$	4.00779	−	4.77629i	0.264842	−	0.315626i	0.882034	+	0.471186i	$0.156174\pi$
$230$	11.1631	+	9.36699i	0.736076	+	0.617641i
$231$	23.9020	−	3.39663i	1.57264	−	0.223482i
$232$	−1.23471	−	0.449399i	−0.0810628	−	0.0295045i
$233$	−19.0107	−	10.9758i	−1.24543	−	0.719051i	−0.275238	−	0.961376i	$-0.588757\pi$
$233$	−19.0107	−	10.9758i	−1.24543	−	0.719051i	−0.970195	+	0.242325i	$0.922090\pi$
$234$	24.0863	+	20.6918i	1.57457	+	1.35266i
$235$	−0.620305	−	1.07440i	−0.0404642	−	0.0700861i
$236$	−0.230536	−	1.30744i	−0.0150066	−	0.0851068i
$237$	−3.53907	−	9.90189i	−0.229887	−	0.643197i
$238$	−3.94748	+	6.42165i	−0.255877	+	0.416254i
$239$	9.51540	+	1.67782i	0.615500	+	0.108529i	0.472702	−	0.881223i	$-0.343279\pi$
$239$	9.51540	+	1.67782i	0.615500	+	0.108529i	0.142798	+	0.989752i	$0.454390\pi$
$240$	−0.784063	+	2.11592i	−0.0506110	+	0.136582i
$241$	5.19594	+	6.19228i	0.334700	+	0.398880i	0.906977	−	0.421181i	$-0.138384\pi$
$241$	5.19594	+	6.19228i	0.334700	+	0.398880i	−0.572277	+	0.820060i	$0.693940\pi$
$242$			38.8642i			2.49829i
$243$	−15.2667	−	3.15102i	−0.979357	−	0.202138i
$244$		−	46.6575i		−	2.98694i
$245$	6.16669	+	12.1865i	0.393976	+	0.778564i
$246$	20.4569	+	7.58040i	1.30429	+	0.483309i
$247$	−1.06415	+	6.03508i	−0.0677101	+	0.384003i
$248$	−25.4906	+	9.27783i	−1.61866	+	0.589143i
$249$	−9.31058	−	26.0498i	−0.590034	−	1.65084i
$250$	−27.6035	+	4.86725i	−1.74580	+	0.307832i
$251$	−1.55483	−	2.69304i	−0.0981398	−	0.169983i	0.812775	−	0.582578i	$-0.197956\pi$
$251$	−1.55483	−	2.69304i	−0.0981398	−	0.169983i	−0.910915	+	0.412595i	$0.864623\pi$
$252$	1.05088	−	26.8129i	0.0661994	−	1.68905i
$253$	8.48134	−	14.6901i	0.533217	−	0.923559i
$254$	8.51005	−	23.3812i	0.533968	−	1.46707i
$255$	−3.58257	−	2.09621i	−0.224350	−	0.131270i
$256$	−15.3736	−	12.9000i	−0.960852	−	0.806251i
$257$	−3.74145	−	3.13945i	−0.233385	−	0.195833i	0.518593	−	0.855021i	$-0.326456\pi$
$257$	−3.74145	−	3.13945i	−0.233385	−	0.195833i	−0.751979	+	0.659188i	$0.770900\pi$
$258$	9.47146	+	0.0549497i	0.589667	+	0.00342102i
$259$	−8.38832	−	25.1864i	−0.521225	−	1.56500i
$260$	−26.0661	−	15.0493i	−1.61655	−	0.933317i
$261$	−0.0142806	+	1.23071i	−0.000883949	+	0.0761788i
$262$	−4.24801	+	2.45259i	−0.262443	+	0.151522i
$263$	19.0908	−	3.36622i	1.17719	−	0.207570i	0.449373	−	0.893344i	$-0.351647\pi$
$263$	19.0908	−	3.36622i	1.17719	−	0.207570i	0.727815	+	0.685774i	$0.240536\pi$
$264$	28.7504	+	5.24164i	1.76947	+	0.322600i
$265$	4.37298	+	12.0147i	0.268630	+	0.738055i
$266$	7.24889	−	3.92279i	0.444458	−	0.240522i
$267$	0.450342	−	0.0767162i	0.0275605	−	0.00469495i
$268$	1.67571	−	1.40609i	0.102360	−	0.0858904i
$269$	30.6698			1.86997			0.934984	−	0.354690i	$-0.115413\pi$
$269$	30.6698			1.86997			0.934984	+	0.354690i	$0.115413\pi$
$270$	23.5137	+	0.409288i	1.43100	+	0.0249085i
$271$			29.4662i			1.78994i	0.446125	+	0.894971i	$0.352804\pi$
$271$			29.4662i			1.78994i	−0.446125	+	0.894971i	$0.647196\pi$
$272$	−0.628246	+	0.527161i	−0.0380930	+	0.0319638i
$273$	20.4602	+	4.31613i	1.23831	+	0.261224i
$274$	7.40186	−	41.9780i	0.447163	−	2.53599i
$275$	2.14979	+	5.90651i	0.129637	+	0.356176i
$276$	−14.3722	−	12.2025i	−0.865102	−	0.734501i
$277$	0.960866	+	5.44934i	0.0577329	+	0.327419i	0.999972	−	0.00752239i	$-0.00239447\pi$
$277$	0.960866	+	5.44934i	0.0577329	+	0.327419i	−0.942239	+	0.334942i	$0.891283\pi$
$278$	4.18059	+	7.24099i	0.250735	+	0.434286i
$279$	16.1061	+	19.6531i	0.964244	+	1.17660i
$280$	2.42100	+	16.3548i	0.144683	+	0.977386i
$281$	−10.3632	+	28.4725i	−0.618214	+	1.69853i	0.0931017	+	0.995657i	$0.470322\pi$
$281$	−10.3632	+	28.4725i	−0.618214	+	1.69853i	−0.711316	+	0.702873i	$0.751900\pi$
$282$	1.26446	+	2.21976i	0.0752977	+	0.132185i
$283$	−5.89713	+	7.02792i	−0.350548	+	0.417767i	−0.912289	−	0.409546i	$-0.865687\pi$
$283$	−5.89713	+	7.02792i	−0.350548	+	0.417767i	0.561742	+	0.827313i	$0.310132\pi$
$284$	−14.4929	+	17.2720i	−0.859998	+	1.02491i
$285$	2.24647	+	3.94366i	0.133069	+	0.233602i
$286$	−19.0718	+	52.3993i	−1.12774	+	3.09844i
$287$	14.2116	−	2.10374i	0.838883	−	0.124180i
$288$	−5.14164	+	13.6323i	−0.302974	+	0.803290i
$289$	7.74571	+	13.4160i	0.455630	+	0.789175i
$290$	−0.322431	−	1.82860i	−0.0189338	−	0.107379i
$291$	9.72264	+	8.25486i	0.569951	+	0.483908i
$292$	15.5764	+	42.7959i	0.911542	+	2.50444i
$293$	3.89445	−	22.0865i	0.227516	−	1.29031i	−0.630300	−	0.776352i	$-0.717068\pi$
$293$	3.89445	−	22.0865i	0.227516	−	1.29031i	0.857816	−	0.513957i	$-0.171821\pi$
$294$	−12.5525	−	25.1674i	−0.732079	−	1.46779i
$295$	0.586951	−	0.492511i	0.0341736	−	0.0286751i
$296$		−	32.1348i		−	1.86780i
$297$	−4.28365	−	27.0374i	−0.248563	−	1.56887i
$298$	−3.30336			−0.191359
$299$	11.2547	−	9.44385i	0.650879	−	0.546152i
$300$	6.88706	−	1.17322i	0.397624	−	0.0677358i
$301$	5.48554	−	2.96854i	0.316181	−	0.171104i
$302$	−5.91824	−	16.2602i	−0.340557	−	0.935672i
$303$	7.68943	+	1.40190i	0.441746	+	0.0805370i
$304$	0.883124	−	0.155719i	0.0506506	−	0.00893107i
$305$	23.3202	−	13.4639i	1.33531	−	0.770941i
$306$	7.35200	+	4.35919i	0.420286	+	0.249199i
$307$	−4.90310	−	2.83081i	−0.279835	−	0.161563i	0.353514	−	0.935429i	$-0.384987\pi$
$307$	−4.90310	−	2.83081i	−0.279835	−	0.161563i	−0.633349	+	0.773867i	$0.718320\pi$
$308$	44.7074	−	14.8898i	2.54744	−	0.848426i
$309$	−20.7602	−	0.120442i	−1.18100	−	0.00685172i
$310$	−29.3654	−	24.6405i	−1.66784	−	1.39949i
$311$	−9.90320	−	8.30977i	−0.561559	−	0.471204i	0.317274	−	0.948334i	$-0.397233\pi$
$311$	−9.90320	−	8.30977i	−0.561559	−	0.471204i	−0.878833	+	0.477130i	$0.841677\pi$
$312$	21.8473	+	12.7831i	1.23686	+	0.723702i
$313$	−0.448567	+	1.23243i	−0.0253545	+	0.0696609i	−0.951724	−	0.306955i	$-0.900690\pi$
$313$	−0.448567	+	1.23243i	−0.0253545	+	0.0696609i	0.926370	+	0.376616i	$0.122912\pi$
$314$	−17.8474	+	30.9126i	−1.00719	+	1.74450i
$315$	13.7047	−	7.21211i	0.772175	−	0.406356i
$316$	−10.2622	−	17.7746i	−0.577292	−	0.999899i
$317$	6.63569	−	1.17005i	0.372697	−	0.0657166i	0.0158375	−	0.999875i	$-0.494959\pi$
$317$	6.63569	−	1.17005i	0.372697	−	0.0657166i	0.356860	+	0.934158i	$0.383847\pi$
$318$	−8.86108	−	24.7922i	−0.496905	−	1.39028i
$319$	−2.03102	+	0.739232i	−0.113715	+	0.0413890i
$320$	4.26930	−	24.2124i	0.238661	−	1.35351i
$321$	−12.8401	−	4.75795i	−0.716664	−	0.265563i
$322$	−19.3582	−	3.96651i	−1.07879	−	0.221045i
$323$			1.64953i			0.0917824i
$324$	−30.4181	−	0.706014i	−1.68989	−	0.0392230i
$325$			5.44418i			0.301989i
$326$	5.57820	+	6.64784i	0.308948	+	0.368190i
$327$	−6.91545	+	18.6625i	−0.382425	+	1.03204i
$328$	17.1265	+	3.01987i	0.945654	+	0.166744i
$329$	1.43316	+	0.880983i	0.0790126	+	0.0485702i
$330$	13.8995	+	38.8890i	0.765140	+	2.14077i
$331$	−0.606166	−	3.43774i	−0.0333179	−	0.188955i	0.963606	−	0.267325i	$-0.0861397\pi$
$331$	−0.606166	−	3.43774i	−0.0333179	−	0.188955i	−0.996924	+	0.0783696i	$0.975029\pi$
$332$	−26.9977	−	46.7613i	−1.48169	−	2.56636i
$333$	−28.4031	+	9.96623i	−1.55648	+	0.546146i
$334$	−33.5282	−	19.3575i	−1.83458	−	1.05919i
$335$	1.18634	+	0.431793i	0.0648167	+	0.0235914i
$336$	−0.430501	−	3.02943i	−0.0234858	−	0.165269i
$337$	14.5358	+	12.1970i	0.791817	+	0.664413i	0.946194	−	0.323599i	$-0.104893\pi$
$337$	14.5358	+	12.1970i	0.791817	+	0.664413i	−0.154377	+	0.988012i	$0.549337\pi$
$338$	−11.6618	+	13.8980i	−0.634319	+	0.755952i
$339$	5.02384	+	0.0291463i	0.272858	+	0.00158301i
$340$	−7.61308	−	2.77093i	−0.412877	−	0.150275i
$341$	−22.3107	+	38.6433i	−1.20819	+	2.09265i
$342$	−4.57869	−	8.14741i	−0.247587	−	0.440561i
$343$	−15.2191	−	10.5536i	−0.821757	−	0.569838i
$344$	7.43555	−	1.31109i	0.400898	−	0.0706892i
$345$	1.95162	−	10.7047i	0.105072	−	0.576320i
$346$	−13.4670	−	37.0003i	−0.723990	−	1.98915i
$347$	−1.14101	−	0.201192i	−0.0612529	−	0.0108005i	0.142938	−	0.989732i	$-0.454345\pi$
$347$	−1.14101	−	0.201192i	−0.0612529	−	0.0108005i	−0.204191	+	0.978931i	$0.565456\pi$
$348$	0.403425	+	2.36820i	0.0216258	+	0.126949i
$349$	−5.76483	−	6.87025i	−0.308584	−	0.367756i	0.589356	−	0.807873i	$-0.299381\pi$
$349$	−5.76483	−	6.87025i	−0.308584	−	0.367756i	−0.897940	+	0.440117i	$0.854937\pi$
$350$	5.73681	−	4.55026i	0.306646	−	0.243222i
$351$	4.52299	−	23.2748i	0.241420	−	1.24232i
$352$	−25.5856			−1.36372
$353$	−21.5899	+	18.1161i	−1.14911	+	0.964220i	−0.999698	−	0.0245544i	$-0.992183\pi$
$353$	−21.5899	+	18.1161i	−1.14911	+	0.964220i	−0.149414	+	0.988775i	$0.547739\pi$
$354$	−1.21450	+	1.00714i	−0.0645501	+	0.0535289i
$355$	−12.8150	−	2.25964i	−0.680151	−	0.119929i
$356$	0.837887	−	0.304966i	0.0444079	−	0.0161632i
$357$	5.62537	+	0.187797i	0.297726	+	0.00993929i
$358$	7.07571	+	40.1283i	0.373963	+	2.12085i
$359$	0.267156	−	0.154242i	0.0140999	−	0.00814060i	−0.492933	−	0.870067i	$-0.664075\pi$
$359$	0.267156	−	0.154242i	0.0140999	−	0.00814060i	0.507033	+	0.861926i	$0.330742\pi$
$360$	18.4984	−	3.04090i	0.974951	−	0.160269i
$361$	−8.59817	+	14.8925i	−0.452535	+	0.783814i
$362$	6.89979	+	2.51132i	0.362645	+	0.131992i
$363$	25.2155	−	14.3637i	1.32347	−	0.753901i
$364$	40.7985	+	1.12510i	2.13842	+	0.0589715i
$365$	−16.8952	+	20.1349i	−0.884335	+	1.05391i
$366$	−48.1805	+	27.4456i	−2.51843	+	1.43460i
$367$	−10.4450	+	28.6975i	−0.545227	+	1.49800i	0.294856	+	0.955542i	$0.404728\pi$
$367$	−10.4450	+	28.6975i	−0.545227	+	1.49800i	−0.840083	+	0.542457i	$0.817494\pi$
$368$	−1.86188	−	1.07495i	−0.0970570	−	0.0560359i
$369$	−2.64240	−	16.0743i	−0.137558	−	0.836793i
$370$	39.3272	−	22.7056i	2.04453	−	1.18041i
$371$	−12.9691	−	11.5063i	−0.673324	−	0.597377i
$372$	37.8069	+	32.0994i	1.96020	+	1.66428i
$373$	25.5753	−	9.30865i	1.32424	−	0.481983i	0.419425	−	0.907790i	$-0.362232\pi$
$373$	25.5753	−	9.30865i	1.32424	−	0.481983i	0.904814	+	0.425807i	$0.140010\pi$
$374$	−2.60639	+	14.7816i	−0.134773	+	0.764336i
$375$	13.3598	+	16.1105i	0.689900	+	0.831945i
$376$	1.30899	+	1.55999i	0.0675058	+	0.0804503i
$377$	−1.87205			−0.0964153
$378$	−28.3062	+	14.6871i	−1.45591	+	0.755421i
$379$	16.5818			0.851751			0.425876	−	0.904782i	$-0.359966\pi$
$379$	16.5818			0.851751			0.425876	+	0.904782i	$0.359966\pi$
$380$	5.69425	+	6.78615i	0.292109	+	0.348122i
$381$	−18.3151	+	3.12000i	−0.938313	+	0.159843i
$382$	2.84720	−	16.1473i	0.145675	−	0.826165i
$383$	−22.2214	+	8.08792i	−1.13546	+	0.413274i	−0.840272	−	0.542166i	$-0.817605\pi$
$383$	−22.2214	+	8.08792i	−1.13546	+	0.413274i	−0.295188	+	0.955439i	$0.595382\pi$
$384$	−6.06289	+	33.2550i	−0.309396	+	1.69704i
$385$	20.3433	+	18.0487i	1.03679	+	0.919849i
$386$	20.1092	−	11.6100i	1.02353	−	0.590935i
$387$	−3.46489	−	6.16548i	−0.176130	−	0.313409i
$388$	21.5592	+	12.4472i	1.09450	+	0.631912i
$389$	9.55404	−	26.2495i	0.484409	−	1.33090i	−0.421269	−	0.906936i	$-0.638415\pi$
$389$	9.55404	−	26.2495i	0.484409	−	1.33090i	0.905678	−	0.423967i	$-0.139363\pi$
$390$	−0.207520	+	35.7694i	−0.0105082	+	1.81126i
$391$	2.54202	−	3.02946i	0.128555	−	0.153206i
$392$	−13.4422	−	17.9420i	−0.678936	−	0.906209i
$393$	3.16128	+	1.84970i	0.159465	+	0.0933050i
$394$	33.2236	+	12.0924i	1.67378	+	0.609206i
$395$	5.92268	−	10.2584i	0.298002	−	0.516155i
$396$	−17.6907	−	50.4174i	−0.888992	−	2.53357i
$397$	9.99689	−	5.77170i	0.501729	−	0.289674i	−0.227698	−	0.973732i	$-0.573120\pi$
$397$	9.99689	−	5.77170i	0.501729	−	0.289674i	0.729427	+	0.684058i	$0.239787\pi$
$398$	−2.57023	−	14.5765i	−0.128834	−	0.730655i
$399$	−5.22425	−	3.25333i	−0.261539	−	0.162870i
$400$	0.748612	−	0.272473i	0.0374306	−	0.0136236i
$401$	−12.2650	−	2.16265i	−0.612484	−	0.107997i	−0.141203	−	0.989981i	$-0.545097\pi$
$401$	−12.2650	−	2.16265i	−0.612484	−	0.107997i	−0.471281	+	0.881983i	$0.656208\pi$
$402$	−2.43769	−	0.903297i	−0.121581	−	0.0450523i
$403$	−29.6064	+	24.8427i	−1.47480	+	1.23750i
$404$	15.2560			0.759013
$405$	−8.42483	−	15.4072i	−0.418633	−	0.765588i
$406$	1.56466	+	1.97267i	0.0776528	+	0.0979020i
$407$	−33.9776	−	40.4929i	−1.68420	−	2.00716i
$408$	6.38883	+	2.36741i	0.316294	+	0.117204i
$409$	21.0250	+	3.70728i	1.03962	+	0.183313i	0.667299	−	0.744790i	$-0.267450\pi$
$409$	21.0250	+	3.70728i	1.03962	+	0.183313i	0.372323	+	0.928103i	$0.378561\pi$
$410$	8.40536	+	23.0935i	0.415111	+	1.14051i
$411$	−29.9714	+	10.7122i	−1.47838	+	0.528393i
$412$	−39.9057	+	7.03646i	−1.96601	+	0.346661i
$413$	−0.382135	+	0.966165i	−0.0188036	+	0.0475419i
$414$	−4.14656	+	22.0192i	−0.203792	+	1.08218i
$415$	15.5814	−	26.9877i	0.764859	−	1.32477i
$416$	−20.8242	−	7.57939i	−1.02099	−	0.371610i
$417$	3.15293	−	5.38859i	0.154400	−	0.263880i
$418$	10.5495	−	12.5724i	0.515992	−	0.614935i
$419$	−1.12524	−	0.944185i	−0.0549714	−	0.0461265i	0.614888	−	0.788614i	$-0.289201\pi$
$419$	−1.12524	−	0.944185i	−0.0549714	−	0.0461265i	−0.669859	+	0.742488i	$0.733646\pi$
$420$	23.7910	−	18.6464i	1.16088	−	0.909852i
$421$	33.1807	+	12.0768i	1.61713	+	0.588587i	0.982832	−	0.184503i	$-0.0590676\pi$
$421$	33.1807	+	12.0768i	1.61713	+	0.588587i	0.634297	+	0.773090i	$0.281290\pi$
$422$	30.4794	+	17.5973i	1.48371	+	0.856622i
$423$	0.972868	−	1.64079i	0.0473025	−	0.0797780i
$424$	−10.4937	−	18.1756i	−0.509619	−	0.882685i
$425$	0.254467	+	1.44316i	0.0123435	+	0.0700033i
$426$	26.3610	+	4.80601i	1.27720	+	0.232852i
$427$	−19.1220	+	31.1071i	−0.925378	+	1.50538i
$428$	−26.3211	−	4.64113i	−1.27228	−	0.224337i
$429$	41.0459	−	6.99221i	1.98171	−	0.337587i
$430$	6.85830	+	8.17340i	0.330737	+	0.394156i
$431$		−	25.8296i		−	1.24417i	−0.782950	−	0.622084i	$-0.786286\pi$
$431$		−	25.8296i		−	1.24417i	0.782950	−	0.622084i	$-0.213714\pi$
$432$	−3.42682	+	0.542925i	−0.164873	+	0.0261215i
$433$		−	24.8476i		−	1.19410i	−0.802204	−	0.597051i	$-0.796339\pi$
$433$		−	24.8476i		−	1.19410i	0.802204	−	0.597051i	$-0.203661\pi$
$434$	50.9231	+	10.4342i	2.44439	+	0.500856i
$435$	−1.06725	+	0.885025i	−0.0511705	+	0.0424337i
$436$	−6.74566	+	38.2565i	−0.323058	+	1.83215i
$437$	−4.06342	+	1.47896i	−0.194380	+	0.0707484i
$438$	35.0302	−	41.2589i	1.67381	−	1.97143i
$439$	21.4386	−	3.78020i	1.02321	−	0.180419i	0.363227	−	0.931701i	$-0.381675\pi$
$439$	21.4386	−	3.78020i	1.02321	−	0.180419i	0.659982	+	0.751282i	$0.270564\pi$
$440$	16.4604	+	28.5102i	0.784717	+	1.35917i
$441$	−11.6895	+	17.4458i	−0.556645	+	0.830750i
$442$	−6.50019	+	11.2587i	−0.309183	+	0.535520i
$443$	−7.47506	+	20.5376i	−0.355151	+	0.975769i	0.625538	+	0.780194i	$0.284880\pi$
$443$	−7.47506	+	20.5376i	−0.355151	+	0.975769i	−0.980689	+	0.195575i	$0.937343\pi$
$444$	−51.0506	+	29.0805i	−2.42275	+	1.38010i
$445$	0.394215	+	0.330785i	0.0186876	+	0.0156807i
$446$	−12.5142	−	10.5007i	−0.592566	−	0.497222i
$447$	1.22088	+	2.14325i	0.0577458	+	0.101372i
$448$	10.5346	+	31.6306i	0.497712	+	1.49441i
$449$	−5.91202	−	3.41330i	−0.279005	−	0.161084i	0.353968	−	0.935258i	$-0.384832\pi$
$449$	−5.91202	−	3.41330i	−0.279005	−	0.161084i	−0.632973	+	0.774174i	$0.718166\pi$
$450$	−5.26271	−	6.42173i	−0.248087	−	0.302723i
$451$	24.7741	−	14.3033i	1.16656	−	0.673517i
$452$	9.65696	−	1.70278i	0.454225	−	0.0800921i
$453$	−8.36248	+	9.84940i	−0.392904	+	0.462765i
$454$	4.51661	+	12.4093i	0.211975	+	0.582397i
$455$	11.2108	+	20.7164i	0.525572	+	0.971200i
$456$	−4.75557	−	5.73471i	−0.222700	−	0.268552i
$457$	21.7319	−	18.2352i	1.01658	−	0.853009i	0.0273830	−	0.999625i	$-0.491283\pi$
$457$	21.7319	−	18.2352i	1.01658	−	0.853009i	0.989193	+	0.146616i	$0.0468382\pi$
$458$	−14.4629			−0.675808
$459$	0.111073	−	6.38115i	0.00518443	−	0.297847i
$460$		−	21.2383i		−	0.990240i
$461$	−6.74632	+	5.66084i	−0.314208	+	0.263651i	−0.786228	−	0.617936i	$-0.787969\pi$
$461$	−6.74632	+	5.66084i	−0.314208	+	0.263651i	0.472021	+	0.881587i	$0.343525\pi$
$462$	−41.6743	−	37.4080i	−1.93886	−	1.74038i
$463$	0.582157	−	3.30158i	0.0270551	−	0.153437i	−0.968287	−	0.249839i	$-0.919622\pi$
$463$	0.582157	−	3.30158i	0.0270551	−	0.153437i	0.995342	+	0.0964018i	$0.0307334\pi$
$464$	0.0936929	+	0.257419i	0.00434958	+	0.0119504i
$465$	−5.13388	+	28.1594i	−0.238078	+	1.30586i
$466$	8.84213	+	50.1462i	0.409604	+	2.32298i
$467$	13.7323	+	23.7851i	0.635456	+	1.10064i	0.986418	+	0.164252i	$0.0525210\pi$
$467$	13.7323	+	23.7851i	0.635456	+	1.10064i	−0.350963	+	0.936389i	$0.614146\pi$
$468$	0.536964	−	46.2756i	0.0248212	−	2.13909i
$469$	−1.69348	+	0.250686i	−0.0781977	+	0.0115756i
$470$	−0.984252	+	2.70421i	−0.0454002	+	0.124736i
$471$	26.6526	+	0.154628i	1.22809	+	0.00712487i
$472$	−0.808440	+	0.963461i	−0.0372115	+	0.0443469i
$473$	7.98322	−	9.51403i	0.367069	−	0.437456i
$474$	−12.3182	+	21.0528i	−0.565794	+	0.966985i
$475$	0.548035	−	1.50571i	0.0251456	−	0.0690868i
$476$	10.8675	−	1.60872i	0.498113	−	0.0737357i
$477$	−12.8105	+	14.9121i	−0.586551	+	0.682776i
$478$	−11.2064	−	19.4100i	−0.512567	−	0.887792i
$479$	4.07847	+	23.1302i	0.186350	+	1.05684i	0.924208	+	0.381889i	$0.124726\pi$
$479$	4.07847	+	23.1302i	0.186350	+	1.05684i	−0.737858	+	0.674956i	$0.764163\pi$
$480$	−15.4550	+	5.52384i	−0.705422	+	0.252128i
$481$	−15.6590	−	43.0227i	−0.713989	−	1.96167i
$482$	3.25601	−	18.4658i	0.148307	−	0.841092i
$483$	4.58106	+	14.0258i	0.208445	+	0.638194i
$484$	43.3901	−	36.4086i	1.97228	−	1.65494i
$485$			14.3675i			0.652395i
$486$	17.1639	+	31.8262i	0.778570	+	1.44367i
$487$	−16.0655			−0.727998			−0.363999	−	0.931399i	$-0.618589\pi$
$487$	−16.0655			−0.727998			−0.363999	+	0.931399i	$0.618589\pi$
$488$	−33.8600	+	28.4119i	−1.53277	+	1.28615i
$489$	2.25154	−	6.07615i	0.101818	−	0.274773i
$490$	12.4599	−	29.1282i	0.562881	−	1.31588i
$491$	−0.135162	−	0.371355i	−0.00609979	−	0.0167590i	0.936605	−	0.350386i	$-0.113950\pi$
$491$	−0.135162	−	0.371355i	−0.00609979	−	0.0167590i	−0.942705	+	0.333627i	$0.891727\pi$
$492$	−10.7012	−	29.9407i	−0.482448	−	1.34983i
$493$	−0.496246	+	0.0875015i	−0.0223498	+	0.00394087i
$494$	12.3107	−	7.10757i	0.553883	−	0.319785i
$495$	20.0944	−	23.3910i	0.903178	−	1.05135i
$496$	4.89779	+	2.82774i	0.219917	+	0.126969i
$497$	16.7413	−	5.57570i	0.750951	−	0.250105i
$498$	−32.4067	+	55.3855i	−1.45218	+	2.48188i
$499$	−5.33123	−	4.47343i	−0.238658	−	0.200258i	0.515612	−	0.856822i	$-0.327565\pi$
$499$	−5.33123	−	4.47343i	−0.238658	−	0.200258i	−0.754270	+	0.656564i	$0.772009\pi$
$500$	31.2935	+	26.2584i	1.39949	+	1.17431i
$501$	−0.167711	+	28.9077i	−0.00749277	+	1.29150i
$502$	−2.46708	+	6.77824i	−0.110111	+	0.302528i
$503$	11.2026	−	19.4034i	0.499498	−	0.865157i	−0.500501	−	0.865736i	$-0.666851\pi$
$503$	11.2026	−	19.4034i	0.499498	−	0.865157i	1.00000		0.000579069i	$0.000184323\pi$
$504$	−20.0984	+	15.5649i	−0.895254	+	0.693318i
$505$	4.40240	+	7.62518i	0.195904	+	0.339316i
$506$	−38.7494	+	6.83256i	−1.72262	+	0.303745i
$507$	13.3272	+	2.42975i	0.591883	+	0.107909i
$508$	−34.0764	+	12.4028i	−1.51189	+	0.550285i
$509$	5.64226	−	31.9988i	0.250089	−	1.41832i	−0.558283	−	0.829651i	$-0.688540\pi$
$509$	5.64226	−	31.9988i	0.250089	−	1.41832i	0.808371	−	0.588673i	$-0.200349\pi$
$510$	1.61689	+	9.49154i	0.0715973	+	0.420292i
$511$	7.15437	−	34.9164i	0.316491	−	1.54461i
$512$			7.51982i			0.332332i
$513$	−3.59388	+	5.98188i	−0.158674	+	0.264107i
$514$			11.3294i			0.499716i
$515$	−15.0325	−	17.9150i	−0.662410	−	0.789430i
$516$	−8.81167	−	10.6259i	−0.387912	−	0.467780i
$517$	3.29889	+	0.581683i	0.145085	+	0.0255824i
$518$	−32.2474	+	52.4592i	−1.41687	+	2.30492i
$519$	−19.0289	+	22.4124i	−0.835275	+	0.983794i
$520$	4.95139	+	28.0807i	0.217133	+	1.23142i
$521$	20.6069	+	35.6921i	0.902803	+	1.56370i	0.823839	+	0.566824i	$0.191828\pi$
$521$	20.6069	+	35.6921i	0.902803	+	1.56370i	0.0789642	+	0.996877i	$0.474839\pi$
$522$	2.20819	−	1.80965i	0.0966497	−	0.0792060i
$523$	25.0594	+	14.4680i	1.09577	+	0.632643i	0.935107	−	0.354367i	$-0.115303\pi$
$523$	25.0594	+	14.4680i	1.09577	+	0.632643i	0.160663	+	0.987009i	$0.448637\pi$
$524$	6.71781	+	2.44508i	0.293469	+	0.106814i
$525$	−5.07251	−	2.04038i	−0.221382	−	0.0890493i
$526$	−34.4465	−	28.9041i	−1.50194	−	1.26028i
$527$	−6.68694	+	7.96919i	−0.291288	+	0.347143i
$528$	−3.01576	−	5.29414i	−0.131244	−	0.230398i
$529$	−11.8711	−	4.32072i	−0.516134	−	0.187857i
$530$	14.8291	−	25.6848i	0.644136	−	1.11568i
$531$	1.10231	+	0.415753i	0.0478360	+	0.0180422i
$532$	−11.1705	−	4.41812i	−0.484302	−	0.191550i
$533$	24.4009	−	4.30253i	1.05692	−	0.186363i
$534$	−0.807794	−	0.685845i	−0.0349566	−	0.0296794i
$535$	−5.27575	−	14.4950i	−0.228090	−	0.626673i
$536$	−2.04083	−	0.359854i	−0.0881505	−	0.0155433i
$537$	23.4205	−	19.4217i	1.01067	−	0.838110i
$538$	−45.7296	−	54.4984i	−1.97154	−	2.34959i
$539$	−35.9094	−	8.39556i	−1.54673	−	0.361622i
$540$	−21.5711	−	26.6354i	−0.928271	−	1.14620i
$541$	8.60460			0.369941			0.184970	−	0.982744i	$-0.440781\pi$
$541$	8.60460			0.369941			0.184970	+	0.982744i	$0.440781\pi$
$542$	52.3596	−	43.9350i	2.24904	−	1.88717i
$543$	−0.920713	−	5.40480i	−0.0395116	−	0.231942i
$544$	−5.87440	−	1.03581i	−0.251863	−	0.0444102i
$545$	−21.0678	+	7.66805i	−0.902445	+	0.328463i
$546$	−22.8372	−	42.7920i	−0.977344	−	1.83133i
$547$	−4.99704	−	28.3396i	−0.213658	−	1.21172i	−0.883220	−	0.468959i	$-0.844629\pi$
$547$	−4.99704	−	28.3396i	−0.213658	−	1.21172i	0.669562	−	0.742756i	$-0.266482\pi$
$548$	−53.8008	+	31.0619i	−2.29825	+	1.32690i
$549$	35.6138	+	21.1164i	1.51996	+	0.901225i
$550$	7.29011	−	12.6268i	0.310852	−	0.538411i
$551$	0.517757	+	0.188448i	0.0220572	+	0.00802816i
$552$	−0.103621	+	17.8607i	−0.00441039	+	0.760202i
$553$	−0.442787	+	16.0563i	−0.0188292	+	0.682785i
$554$	8.25049	−	9.83255i	0.350530	−	0.417745i
$555$	−29.2665	−	17.1242i	−1.24229	−	0.726880i
$556$	4.16779	−	11.4509i	0.176754	−	0.485627i
$557$	10.8868	+	6.28548i	0.461287	+	0.266324i	0.712585	−	0.701586i	$-0.247524\pi$
$557$	10.8868	+	6.28548i	0.461287	+	0.266324i	−0.251298	+	0.967910i	$0.580858\pi$
$558$	10.9078	−	57.9229i	0.461764	−	2.45207i
$559$	9.31599	−	5.37859i	0.394024	−	0.227490i
$560$	2.28756	−	2.57839i	0.0966672	−	0.108957i
$561$	10.5537	−	3.77204i	0.445577	−	0.159256i
$562$	66.0458	−	24.0387i	2.78598	−	1.01401i
$563$	1.29776	−	7.35995i	0.0546939	−	0.310185i	−0.945172	−	0.326574i	$-0.894106\pi$
$563$	1.29776	−	7.35995i	0.0546939	−	0.310185i	0.999866	+	0.0163889i	$0.00521698\pi$
$564$	1.29369	−	3.49122i	0.0544740	−	0.147007i
$565$	3.63777	+	4.33533i	0.153042	+	0.182389i
$566$	21.2810			0.894508
$567$	19.9907	+	12.9372i	0.839532	+	0.543310i
$568$	21.3600			0.896244
$569$	−15.3812	−	18.3306i	−0.644814	−	0.768459i	0.340309	−	0.940314i	$-0.389468\pi$
$569$	−15.3812	−	18.3306i	−0.644814	−	0.768459i	−0.985122	+	0.171855i	$0.945024\pi$
$570$	3.65810	−	9.87196i	0.153221	−	0.413491i
$571$	−6.35406	+	36.0357i	−0.265909	+	1.50805i	0.500525	+	0.865722i	$0.333140\pi$
$571$	−6.35406	+	36.0357i	−0.265909	+	1.50805i	−0.766434	+	0.642323i	$0.777971\pi$
$572$	76.3682	−	27.7957i	3.19311	−	1.16220i
$573$	−11.5288	+	4.12054i	−0.481621	+	0.172138i
$574$	−24.9281	−	22.1164i	−1.04048	−	0.923121i
$575$	−3.32688	+	1.92077i	−0.138740	+	0.0801018i
$576$	35.6705	−	12.5162i	1.48627	−	0.521509i
$577$	−30.1605	−	17.4131i	−1.25560	−	0.724919i	−0.283381	−	0.959007i	$-0.591456\pi$
$577$	−30.1605	−	17.4131i	−1.25560	−	0.724919i	−0.972215	+	0.234089i	$0.924789\pi$
$578$	12.2903	−	33.7673i	0.511209	−	1.40454i
$579$	−14.9648	−	8.75609i	−0.621916	−	0.363891i
$580$	−1.73949	+	2.07304i	−0.0722283	+	0.0860784i
$581$	−1.16488	+	42.2410i	−0.0483275	+	1.75245i
$582$	0.171639	−	29.5848i	0.00711468	−	1.22633i
$583$	−32.4409	−	11.8075i	−1.34356	−	0.489018i
$584$	21.5724	−	37.3644i	0.892671	−	1.54615i
$585$	23.2842	−	13.0853i	0.962684	−	0.541011i
$586$	−45.0532	+	26.0115i	−1.86113	+	1.07453i
$587$	−2.26174	−	12.8270i	−0.0933519	−	0.529425i	−0.995240	−	0.0974552i	$-0.968930\pi$
$587$	−2.26174	−	12.8270i	−0.0933519	−	0.529425i	0.901888	−	0.431970i	$-0.142181\pi$
$588$	−16.3388	+	37.5915i	−0.673800	+	1.55025i
$589$	10.6891	−	3.89051i	0.440436	−	0.160306i
$590$	−1.75033	−	0.308630i	−0.0720598	−	0.0127061i
$591$	−4.43338	−	26.0250i	−0.182365	−	1.07052i
$592$	−5.13221	+	4.30644i	−0.210933	+	0.176993i
$593$	6.73277			0.276482			0.138241	−	0.990399i	$-0.455855\pi$
$593$	6.73277			0.276482			0.138241	+	0.990399i	$0.455855\pi$
$594$	−41.6568	+	47.9254i	−1.70920	+	1.96640i
$595$	3.94010	+	4.96754i	0.161528	+	0.203649i
$596$	3.09465	+	3.68806i	0.126762	+	0.151069i
$597$	−8.50745	+	7.05489i	−0.348187	+	0.288738i
$598$	−33.5624	−	5.91795i	−1.37247	−	0.242003i
$599$	−3.53512	−	9.71267i	−0.144441	−	0.396849i	0.846284	−	0.532733i	$-0.178835\pi$
$599$	−3.53512	−	9.71267i	−0.144441	−	0.396849i	−0.990725	+	0.135884i	$0.956613\pi$
$600$	−5.04527	−	4.28360i	−0.205972	−	0.174877i
$601$	6.40156	−	1.12877i	0.261125	−	0.0460434i	−0.0415527	−	0.999136i	$-0.513230\pi$
$601$	6.40156	−	1.12877i	0.261125	−	0.0460434i	0.302678	+	0.953093i	$0.402119\pi$
$602$	−13.4540	−	5.32130i	−0.548345	−	0.216880i
$603$	0.314874	+	1.91544i	0.0128227	+	0.0780029i
$604$	−12.6095	+	21.8403i	−0.513074	+	0.888669i
$605$	30.7186	+	11.1807i	1.24889	+	0.454559i
$606$	−8.97409	−	15.7539i	−0.364547	−	0.639960i
$607$	−3.64819	+	4.34774i	−0.148075	+	0.176469i	−0.834984	−	0.550275i	$-0.814523\pi$
$607$	−3.64819	+	4.34774i	−0.148075	+	0.176469i	0.686908	+	0.726744i	$0.258967\pi$
$608$	4.99644	+	4.19251i	0.202632	+	0.170029i
$609$	0.701607	−	1.74424i	0.0284306	−	0.0706802i
$610$	−58.6957	−	21.3635i	−2.37652	−	0.864982i
$611$	2.51266	+	1.45069i	0.101652	+	0.0586885i
$612$	−2.02064	−	12.2919i	−0.0816793	−	0.496872i
$613$	12.2488	+	21.2155i	0.494725	+	0.856888i	0.999982	−	0.00608093i	$-0.00193563\pi$
$613$	12.2488	+	21.2155i	0.494725	+	0.856888i	−0.505257	+	0.862969i	$0.668602\pi$
$614$	2.28050	+	12.9334i	0.0920335	+	0.521948i
$615$	11.8768	−	13.9886i	0.478918	−	0.564074i
$616$	−38.0302	−	23.3777i	−1.53228	−	0.941914i
$617$	−25.3585	−	4.47138i	−1.02089	−	0.180011i	−0.361945	−	0.932199i	$-0.617887\pi$
$617$	−25.3585	−	4.47138i	−1.02089	−	0.180011i	−0.658948	+	0.752188i	$0.728998\pi$
$618$	30.7400	+	37.0692i	1.23655	+	1.49114i
$619$	4.64290	+	5.53319i	0.186614	+	0.222398i	0.851238	−	0.524780i	$-0.175853\pi$
$619$	4.64290	+	5.53319i	0.186614	+	0.222398i	−0.664624	+	0.747178i	$0.731408\pi$
$620$			55.8687i			2.24374i
$621$	15.8188	−	5.44770i	0.634785	−	0.218609i
$622$			29.9875i			1.20239i
$623$	−0.683615	−	0.140073i	−0.0273885	−	0.00561191i
$624$	−0.886217	−	5.20230i	−0.0354771	−	0.208259i
$625$	−3.05811	+	17.3434i	−0.122325	+	0.693737i
$626$	2.85878	−	1.04051i	0.114260	−	0.0415871i
$627$	−12.0560	−	2.19800i	−0.481472	−	0.0877795i
$628$	51.2323	−	9.03363i	2.04439	−	0.360481i
$629$	−6.16185	−	10.6726i	−0.245689	−	0.425546i
$630$	−33.2497	−	13.5991i	−1.32470	−	0.541799i
$631$	2.65576	−	4.59991i	0.105724	−	0.183120i	−0.808310	−	0.588758i	$-0.799617\pi$
$631$	2.65576	−	4.59991i	0.105724	−	0.183120i	0.914034	+	0.405638i	$0.132951\pi$
$632$	−6.65016	+	18.2712i	−0.264529	+	0.726788i
$633$	0.152461	−	26.2790i	0.00605976	−	1.04450i
$634$	−11.9731	−	10.0466i	−0.475514	−	0.399003i
$635$	−16.0325	−	13.4528i	−0.636230	−	0.533860i
$636$	−19.3782	+	33.1187i	−0.768394	+	1.31324i
$637$	−26.7397	−	17.4709i	−1.05947	−	0.692221i
$638$	4.34189	+	2.50679i	0.171897	+	0.0992448i
$639$	−6.62454	−	18.8795i	−0.262063	−	0.746862i
$640$	−32.9771	+	19.0394i	−1.30354	+	0.752597i
$641$	−21.9548	+	3.87122i	−0.867161	+	0.152904i	−0.589493	−	0.807773i	$-0.700673\pi$
$641$	−21.9548	+	3.87122i	−0.867161	+	0.152904i	−0.277668	+	0.960677i	$0.589561\pi$
$642$	10.6904	+	29.9103i	0.421915	+	1.18047i
$643$	10.1837	+	27.9794i	0.401605	+	1.10340i	0.961492	+	0.274832i	$0.0886223\pi$
$643$	10.1837	+	27.9794i	0.401605	+	1.10340i	−0.559887	+	0.828569i	$0.689155\pi$
$644$	13.7067	+	25.3285i	0.540119	+	0.998081i
$645$	2.76823	−	7.47052i	0.108999	−	0.294151i
$646$	2.93112	−	2.45950i	0.115323	−	0.0967679i
$647$	−22.3814			−0.879903			−0.439951	−	0.898022i	$-0.645004\pi$
$647$	−22.3814			−0.879903			−0.439951	+	0.898022i	$0.645004\pi$
$648$	18.0106	+	22.5047i	0.707523	+	0.884070i
$649$			2.06885i			0.0812095i
$650$	9.67399	−	8.11745i	0.379445	−	0.318392i
$651$	−12.0508	−	36.8957i	−0.472308	−	1.44606i
$652$	2.19626	−	12.4556i	0.0860121	−	0.487799i
$653$	5.76183	+	15.8305i	0.225478	+	0.619495i	0.999913	−	0.0131577i	$-0.00418836\pi$
$653$	5.76183	+	15.8305i	0.225478	+	0.619495i	−0.774436	+	0.632653i	$0.781966\pi$
$654$	43.4733	−	15.5379i	1.69994	−	0.607582i
$655$	0.716459	+	4.06324i	0.0279944	+	0.158764i
$656$	−1.81285	−	3.13995i	−0.0707800	−	0.122595i
$657$	−39.7159	−	7.47913i	−1.54946	−	0.291789i
$658$	−0.571428	−	3.86021i	−0.0222766	−	0.150487i
$659$	−2.92364	+	8.03264i	−0.113889	+	0.312907i	−0.983521	−	0.180793i	$-0.942134\pi$
$659$	−2.92364	+	8.03264i	−0.113889	+	0.312907i	0.869632	+	0.493700i	$0.164356\pi$
$660$	30.3965	−	51.9499i	1.18318	−	2.02215i
$661$	3.93655	−	4.69139i	0.153114	−	0.182474i	−0.684035	−	0.729449i	$-0.739776\pi$
$661$	3.93655	−	4.69139i	0.153114	−	0.182474i	0.837149	+	0.546975i	$0.184221\pi$
$662$	−5.20485	+	6.20290i	−0.202292	+	0.241082i
$663$	9.70712	+	0.0563169i	0.376993	+	0.00218717i
$664$	−17.4952	+	48.0677i	−0.678946	+	1.86539i
$665$	−1.01521	−	6.85812i	−0.0393681	−	0.265947i
$666$	60.0594	+	35.6108i	2.32725	+	1.37989i
$667$	−0.660481	−	1.14399i	−0.0255739	−	0.0442953i
$668$	9.79798	+	55.5671i	0.379095	+	2.14995i
$669$	−2.18783	+	12.0003i	−0.0845864	+	0.463957i
$670$	−1.00160	−	2.75188i	−0.0386952	−	0.106314i
$671$	−12.6256	+	71.6034i	−0.487406	+	2.76422i
$672$	14.8665	−	16.5619i	0.573487	−	0.638891i
$673$	7.49661	−	6.29040i	0.288973	−	0.242477i	−0.486764	−	0.873534i	$-0.661823\pi$
$673$	7.49661	−	6.29040i	0.288973	−	0.242477i	0.775737	+	0.631056i	$0.217378\pi$
$674$		−	44.0154i		−	1.69541i
$675$	−2.22144	+	5.78789i	−0.0855033	+	0.222776i
$676$	26.4415			1.01698
$677$	−13.3935	+	11.2385i	−0.514753	+	0.431929i	−0.862798	−	0.505549i	$-0.831290\pi$
$677$	−13.3935	+	11.2385i	−0.514753	+	0.431929i	0.348045	+	0.937478i	$0.386846\pi$
$678$	−7.43891	−	8.97053i	−0.285690	−	0.344511i
$679$	−9.27245	−	17.1345i	−0.355844	−	0.657561i
$680$	2.62505	+	7.21227i	0.100666	+	0.276578i
$681$	6.38198	−	7.51675i	0.244558	−	0.288042i
$682$	101.933	−	17.9735i	3.90321	−	0.688242i
$683$	−1.95025	+	1.12598i	−0.0746241	+	0.0430842i	−0.536848	−	0.843679i	$-0.680385\pi$
$683$	−1.95025	+	1.12598i	−0.0746241	+	0.0430842i	0.462224	+	0.886763i	$0.347052\pi$
$684$	−4.80681	+	12.7445i	−0.183793	+	0.487299i
$685$	−31.0504	−	17.9270i	−1.18638	−	0.684954i
$686$	3.93918	+	42.7792i	0.150398	+	1.63332i
$687$	5.34533	+	9.38368i	0.203937	+	0.358010i
$688$	−1.20584	−	1.01182i	−0.0459723	−	0.0385754i
$689$	−22.9060	−	19.2204i	−0.872648	−	0.732238i
$690$	−21.9315	+	12.4931i	−0.834919	+	0.475604i
$691$	1.85904	−	5.10767i	0.0707212	−	0.194305i	−0.899296	−	0.437340i	$-0.855921\pi$
$691$	1.85904	−	5.10767i	0.0707212	−	0.194305i	0.970018	+	0.243035i	$0.0781429\pi$
$692$	−28.6930	+	49.6977i	−1.09074	+	1.88922i
$693$	−8.86835	+	40.8642i	−0.336881	+	1.55230i
$694$	1.34378	+	2.32750i	0.0510093	+	0.0883507i
$695$	6.92604	−	1.22125i	0.262720	−	0.0463246i
$696$	1.47297	−	1.73487i	0.0558327	−	0.0657602i
$697$	6.26713	−	2.28105i	0.237385	−	0.0864009i
$698$	−3.61250	+	20.4875i	−0.136735	+	0.775464i
$699$	29.2674	−	24.2703i	1.10699	−	0.917987i
$700$	−10.4545	−	2.14213i	−0.395143	−	0.0809650i
$701$		−	13.7108i		−	0.517851i	−0.965897	−	0.258926i	$-0.916632\pi$
$701$		−	13.7108i		−	0.517851i	0.965897	−	0.258926i	$-0.0833685\pi$
$702$	−48.1020	+	26.6664i	−1.81549	+	1.00646i
$703$			13.4752i			0.508227i
$704$	42.6712	+	50.8535i	1.60823	+	1.91661i
$705$	2.11828	−	0.360852i	0.0797792	−	0.0135905i
$706$	64.3823	+	11.3523i	2.42306	+	0.427251i
$707$	−10.1713	−	6.25247i	−0.382533	−	0.235148i
$708$	2.26219	+	0.412431i	0.0850183	+	0.0155001i
$709$	2.64338	+	14.9914i	0.0992742	+	0.563012i	0.993354	+	0.115103i	$0.0367199\pi$
$709$	2.64338	+	14.9914i	0.0992742	+	0.563012i	−0.894079	+	0.447909i	$0.852169\pi$
$710$	15.0924	+	26.1408i	0.566407	+	0.981045i
$711$	18.2119	+	0.211323i	0.682999	+	0.00792525i
$712$	−0.731546	−	0.422358i	−0.0274158	−	0.0158285i
$713$	−25.6266	−	9.32731i	−0.959723	−	0.349311i
$714$	−8.05389	−	10.2760i	−0.301409	−	0.384568i
$715$	35.9302	+	30.1490i	1.34371	+	1.12751i
$716$	38.1728	−	45.4926i	1.42659	−	1.70014i
$717$	−8.45164	+	14.4445i	−0.315632	+	0.539439i
$718$	−0.672417	−	0.244740i	−0.0250944	−	0.00913361i
$719$	−5.10350	+	8.83952i	−0.190328	+	0.329658i	−0.945359	−	0.326031i	$-0.894289\pi$
$719$	−5.10350	+	8.83952i	−0.190328	+	0.329658i	0.755031	+	0.655689i	$0.227622\pi$
$720$	−2.96466	−	2.54684i	−0.110486	−	0.0949152i
$721$	29.4894	+	11.6636i	1.09824	+	0.434374i
$722$	39.2832	−	6.92669i	1.46197	−	0.257785i
$723$	−13.1841	+	4.71219i	−0.490323	+	0.175248i
$724$	−3.66006	−	10.0559i	−0.136025	−	0.373726i
$725$	0.482050	+	0.0849985i	0.0179029	+	0.00315677i
$726$	−63.1206	−	23.3896i	−2.34262	−	0.868070i
$727$	−3.94499	−	4.70146i	−0.146312	−	0.174367i	0.687911	−	0.725795i	$-0.258528\pi$
$727$	−3.94499	−	4.70146i	−0.146312	−	0.174367i	−0.834223	+	0.551427i	$0.814083\pi$
$728$	−24.0276	−	30.2932i	−0.890521	−	1.12274i
$729$	14.3056	−	22.8987i	0.529837	−	0.848100i
$730$	60.9698			2.25660
$731$	2.21810	−	1.86121i	0.0820394	−	0.0688392i
$732$	75.7780	+	28.0798i	2.80083	+	1.03786i
$733$	−24.7633	−	4.36644i	−0.914654	−	0.161278i	−0.303538	−	0.952819i	$-0.598168\pi$
$733$	−24.7633	−	4.36644i	−0.914654	−	0.161278i	−0.611116	+	0.791541i	$0.709279\pi$
$734$	66.5677	−	24.2287i	2.45706	−	0.894297i
$735$	−23.5037	+	2.68136i	−0.866947	+	0.0989033i
$736$	−2.71536	−	15.3996i	−0.100089	−	0.567635i
$737$	−2.95213	+	1.70441i	−0.108743	+	0.0627828i
$738$	−24.6231	+	28.6626i	−0.906390	+	1.05509i
$739$	12.7018	−	22.0002i	0.467245	−	0.809292i	−0.532055	−	0.846710i	$-0.678580\pi$
$739$	12.7018	−	22.0002i	0.467245	−	0.809292i	0.999300	+	0.0374181i	$0.0119133\pi$
$740$	−62.1922	−	22.6361i	−2.28623	−	0.832119i
$741$	−9.16133	−	5.36040i	−0.336550	−	0.196919i
$742$	−1.10864	+	40.2016i	−0.0406996	+	1.47585i
$743$	−2.00270	+	2.38673i	−0.0734721	+	0.0875606i	−0.801528	−	0.597957i	$-0.795979\pi$
$743$	−2.00270	+	2.38673i	−0.0734721	+	0.0875606i	0.728056	+	0.685517i	$0.240424\pi$
$744$	0.272581	−	46.9838i	0.00999332	−	1.72251i
$745$	−0.950330	+	2.61101i	−0.0348174	+	0.0956600i
$746$	−54.6745	−	31.5663i	−2.00178	−	1.15573i
$747$	47.9117	+	0.555949i	1.75300	+	0.0203411i
$748$	18.9446	−	10.9377i	0.692685	−	0.399922i
$749$	15.6465	+	13.8817i	0.571711	+	0.507225i
$750$	8.70755	−	47.7610i	0.317955	−	1.74399i
$751$	20.2540	−	7.37187i	0.739080	−	0.269003i	0.0550769	−	0.998482i	$-0.482460\pi$
$751$	20.2540	−	7.37187i	0.739080	−	0.269003i	0.684003	+	0.729479i	$0.260237\pi$
$752$	0.0737246	−	0.418113i	0.00268846	−	0.0152470i
$753$	5.30959	−	0.904494i	0.193492	−	0.0329616i
$754$	2.79128	+	3.32652i	0.101652	+	0.121145i
$755$	−14.5548			−0.529705
$756$	42.9152	+	17.8435i	1.56081	+	0.648963i
$757$	−39.4053			−1.43221			−0.716105	−	0.697993i	$-0.754077\pi$
$757$	−39.4053			−1.43221			−0.716105	+	0.697993i	$0.754077\pi$
$758$	−24.7240	−	29.4650i	−0.898017	−	1.07022i
$759$	18.7543	+	22.6157i	0.680740	+	0.820899i
$760$	1.45731	−	8.26480i	0.0528621	−	0.299796i
$761$	−1.92395	+	0.700260i	−0.0697431	+	0.0253844i	−0.376656	−	0.926353i	$-0.622926\pi$
$761$	−1.92395	+	0.700260i	−0.0697431	+	0.0253844i	0.306913	+	0.951738i	$0.400704\pi$
$762$	32.8525	+	27.8929i	1.19012	+	1.01045i
$763$	20.1764	−	22.7414i	0.730433	−	0.823295i
$764$	−20.6950	+	11.9482i	−0.748718	+	0.432272i
$765$	5.56061	−	4.55701i	0.201044	−	0.164759i
$766$	47.5046	+	27.4268i	1.71641	+	0.990969i
$767$	−0.612870	+	1.68385i	−0.0221295	+	0.0608002i
$768$	30.2036	−	17.2052i	1.08988	−	0.620839i
$769$	−10.5237	+	12.5416i	−0.379493	+	0.452263i	−0.921654	−	0.388012i	$-0.873162\pi$
$769$	−10.5237	+	12.5416i	−0.379493	+	0.452263i	0.542161	+	0.840275i	$0.317606\pi$
$770$	1.73902	−	63.0602i	0.0626698	−	2.27253i
$771$	7.35059	−	4.18719i	0.264725	−	0.150798i
$772$	−31.8007	−	11.5745i	−1.14453	−	0.416575i
$773$	8.47486	−	14.6789i	0.304819	−	0.527963i	−0.672402	−	0.740186i	$-0.734737\pi$
$773$	8.47486	−	14.6789i	0.304819	−	0.527963i	0.977221	+	0.212224i	$0.0680705\pi$
$774$	−5.78944	+	15.3498i	−0.208097	+	0.551738i
$775$	8.75158	−	5.05273i	0.314366	−	0.181499i
$776$	−4.09528	−	23.2255i	−0.147012	−	0.833747i
$777$	45.9543	+	1.53414i	1.64860	+	0.0550369i
$778$	−60.8892	+	22.1619i	−2.18298	+	0.794541i
$779$	−7.18173	−	1.26633i	−0.257312	−	0.0453711i
$780$	40.1293	−	33.2777i	1.43686	−	1.19153i
$781$	26.9156	−	22.5848i	0.963114	−	0.808149i
$782$	−9.17339			−0.328040
$783$	−1.99023	−	0.763868i	−0.0711252	−	0.0272984i
$784$	−1.06408	+	4.55128i	−0.0380030	+	0.162546i
$785$	19.2992	+	22.9999i	0.688818	+	0.820901i
$786$	−1.42675	−	8.37537i	−0.0508906	−	0.298739i
$787$	−19.7129	−	3.47591i	−0.702688	−	0.123903i	−0.189123	−	0.981953i	$-0.560564\pi$
$787$	−19.7129	−	3.47591i	−0.702688	−	0.123903i	−0.513565	+	0.858051i	$0.671676\pi$
$788$	−17.6238	−	48.4209i	−0.627821	−	1.72492i
$789$	−6.02220	+	33.0318i	−0.214396	+	1.17596i
$790$	−27.0595	+	4.77131i	−0.962732	+	0.169756i
$791$	−7.13627	−	2.82252i	−0.253737	−	0.100357i
$792$	−25.8159	+	43.5399i	−0.917330	+	1.54712i
$793$	−31.4876	+	54.5381i	−1.11816	+	1.93671i
$794$	−25.1617	−	9.15809i	−0.892954	−	0.325009i
$795$	−22.1452	−	0.128478i	−0.785409	−	0.00455663i
$796$	−13.8662	+	16.5251i	−0.491473	+	0.585715i
$797$	10.3098	+	8.65092i	0.365190	+	0.306431i	0.806856	−	0.590749i	$-0.201168\pi$
$797$	10.3098	+	8.65092i	0.365190	+	0.306431i	−0.441665	+	0.897180i	$0.645612\pi$
$798$	2.00853	+	14.1340i	0.0711013	+	0.500338i
$799$	0.733869	+	0.267107i	0.0259624	+	0.00944955i
$800$	5.01809	+	2.89719i	0.177416	+	0.102431i
$801$	−0.146431	+	0.777584i	−0.00517390	+	0.0274746i
$802$	14.4446	+	25.0187i	0.510055	+	0.883442i
$803$	−12.3239	−	69.8921i	−0.434900	−	2.46644i
$804$	1.27518	+	3.56779i	0.0449721	+	0.125826i
$805$	−8.70424	+	14.1598i	−0.306784	+	0.499068i
$806$	88.2880	+	15.5676i	3.10981	+	0.548344i
$807$	−18.4579	+	49.8117i	−0.649750	+	1.75346i
$808$	−9.29007	−	11.0715i	−0.326823	−	0.389493i
$809$			26.2789i			0.923917i	0.886902	+	0.461958i	$0.152853\pi$
$809$			26.2789i			0.923917i	−0.886902	+	0.461958i	$0.847147\pi$
$810$	−14.8160	+	37.9430i	−0.520580	+	1.33318i
$811$		−	19.4062i		−	0.681444i	−0.940164	−	0.340722i	$-0.889329\pi$
$811$		−	19.4062i		−	0.681444i	0.940164	−	0.340722i	$-0.110671\pi$
$812$	0.736597	−	3.59490i	0.0258495	−	0.126156i
$813$	−47.8569	−	17.7336i	−1.67841	−	0.621944i
$814$	−21.2919	+	120.752i	−0.746280	+	4.23236i
$815$	6.85928	−	2.49657i	0.240270	−	0.0874511i
$816$	−0.478082	−	1.33761i	−0.0167362	−	0.0468258i
$817$	−3.11798	+	0.549784i	−0.109084	+	0.0192345i
$818$	−24.7614	−	42.8880i	−0.865761	−	1.49954i
$819$	−19.3235	+	30.6324i	−0.675217	+	1.07038i
$820$	17.9086	−	31.0186i	0.625396	−	1.08322i
$821$	−12.6547	+	34.7686i	−0.441654	+	1.21343i	0.496751	+	0.867893i	$0.334526\pi$
$821$	−12.6547	+	34.7686i	−0.441654	+	1.21343i	−0.938404	+	0.345540i	$0.887696\pi$
$822$	63.7232	+	37.2852i	2.22260	+	1.30047i
$823$	16.0047	+	13.4296i	0.557889	+	0.468125i	0.877602	−	0.479390i	$-0.159142\pi$
$823$	16.0047	+	13.4296i	0.557889	+	0.468125i	−0.319713	+	0.947515i	$0.603586\pi$
$824$	29.4069	+	24.6753i	1.02444	+	0.859605i
$825$	−10.8868	−	0.0631606i	−0.379028	−	0.00219897i
$826$	2.28659	−	0.761551i	0.0795608	−	0.0264977i
$827$	25.8904	+	14.9478i	0.900298	+	0.519787i	0.877297	−	0.479948i	$-0.159345\pi$
$827$	25.8904	+	14.9478i	0.900298	+	0.519787i	0.0230009	+	0.999735i	$0.492678\pi$
$828$	28.4680	−	15.9985i	0.989330	−	0.555986i
$829$	−13.8127	+	7.97478i	−0.479736	+	0.276976i	−0.720306	−	0.693656i	$-0.755999\pi$
$829$	−13.8127	+	7.97478i	−0.479736	+	0.276976i	0.240571	+	0.970632i	$0.422665\pi$
$830$	−71.1879	+	12.5523i	−2.47097	+	0.435698i
$831$	−9.42873	−	1.71900i	−0.327079	−	0.0596314i
$832$	19.6656	+	54.0307i	0.681781	+	1.87318i
$833$	−7.90483	−	3.38137i	−0.273886	−	0.117158i
$834$	−14.2763	+	2.43199i	−0.494349	+	0.0842128i
$835$	−24.9459	+	20.9321i	−0.863289	+	0.724385i
$836$	−23.9194			−0.827270
$837$	−41.6123	+	14.3305i	−1.43833	+	0.495336i
$838$			3.40729i			0.117703i
$839$	2.97230	−	2.49405i	0.102615	−	0.0861043i	−0.590037	−	0.807376i	$-0.700887\pi$
$839$	2.97230	−	2.49405i	0.102615	−	0.0861043i	0.692652	+	0.721272i	$0.256442\pi$
$840$	−28.0194	−	5.91076i	−0.966760	−	0.203941i
$841$	5.00657	−	28.3937i	0.172640	−	0.979092i
$842$	−28.0137	−	76.9671i	−0.965416	−	2.65246i
$843$	−40.0063	−	33.9667i	−1.37789	−	1.16988i
$844$	−8.90702	−	50.5142i	−0.306592	−	1.73877i
$845$	7.63018	+	13.2159i	0.262486	+	0.454640i
$846$	−4.36617	+	0.717741i	−0.150112	+	0.0246765i
$847$	−43.8503	+	6.49117i	−1.50671	+	0.223039i
$848$	−1.49653	+	4.11168i	−0.0513910	+	0.141196i
$849$	−7.86521	−	13.8073i	−0.269933	−	0.473866i
$850$	2.18498	−	2.60396i	0.0749443	−	0.0893152i
$851$	20.7660	−	24.7480i	0.711850	−	0.848350i
$852$	−19.3298	−	33.9332i	−0.662226	−	1.16253i
$853$	5.95289	−	16.3554i	0.203823	−	0.559999i	−0.795096	−	0.606484i	$-0.792580\pi$
$853$	5.95289	−	16.3554i	0.203823	−	0.559999i	0.998919	+	0.0464843i	$0.0148018\pi$
$854$	83.7870	−	12.4030i	2.86713	−	0.424422i
$855$	−7.75701	+	1.27515i	−0.265284	+	0.0436093i
$856$	12.6600	+	21.9278i	0.432711	+	0.749477i
$857$	−2.29945	−	13.0408i	−0.0785476	−	0.445466i	−0.998563	−	0.0535842i	$-0.982935\pi$
$857$	−2.29945	−	13.0408i	−0.0785476	−	0.445466i	0.920016	−	0.391881i	$-0.128176\pi$
$858$	−73.6254	−	62.5105i	−2.51353	−	2.13407i
$859$	−11.2065	−	30.7896i	−0.382361	−	1.05053i	−0.970359	−	0.241666i	$-0.922306\pi$
$859$	−11.2065	−	30.7896i	−0.382361	−	1.05053i	0.587999	−	0.808862i	$-0.299916\pi$
$860$	2.70026	−	15.3140i	0.0920782	−	0.522202i
$861$	−5.13618	+	24.3476i	−0.175041	+	0.829762i
$862$	−45.8977	+	38.5128i	−1.56328	+	1.31175i
$863$		−	44.4934i		−	1.51457i	−0.653083	−	0.757286i	$-0.726525\pi$
$863$		−	44.4934i		−	1.51457i	0.653083	−	0.757286i	$-0.273475\pi$
$864$	−19.0462	−	16.5550i	−0.647966	−	0.563213i
$865$	−33.1196			−1.12610
$866$	−44.1528	+	37.0486i	−1.50037	+	1.25896i
$867$	−26.4509	+	4.50594i	−0.898319	+	0.153030i
$868$	−36.0563	−	66.6282i	−1.22383	−	2.26151i
$869$	10.9391	+	30.0549i	0.371083	+	1.01954i
$870$	3.16393	+	0.576833i	0.107267	+	0.0195565i
$871$	−2.90766	+	0.512699i	−0.0985223	+	0.0173721i
$872$	31.8710	−	18.4007i	1.07929	−	0.623128i
$873$	−19.2583	+	10.8228i	−0.651796	+	0.366297i
$874$	8.68671	+	5.01527i	0.293832	+	0.169644i
$875$	−10.1021	−	30.3320i	−0.341513	−	1.02541i
$876$	−78.8805	−	0.457634i	−2.66513	−	0.0154620i
$877$	−26.4882	−	22.2262i	−0.894442	−	0.750526i	0.0746542	−	0.997209i	$-0.476215\pi$
$877$	−26.4882	−	22.2262i	−0.894442	−	0.750526i	−0.969096	+	0.246684i	$0.920659\pi$
$878$	−38.6828	−	32.4587i	−1.30548	−	1.09543i
$879$	33.5276	+	19.6174i	1.13086	+	0.661679i
$880$	2.34745	−	6.44956i	0.0791325	−	0.217415i
$881$	5.16158	−	8.94012i	0.173898	−	0.301200i	−0.765881	−	0.642982i	$-0.777697\pi$
$881$	5.16158	−	8.94012i	0.173898	−	0.301200i	0.939779	+	0.341782i	$0.111030\pi$
$882$	48.4296	−	5.24052i	1.63071	−	0.176457i
$883$	0.433826	+	0.751408i	0.0145994	+	0.0252869i	0.873233	−	0.487303i	$-0.162019\pi$
$883$	0.433826	+	0.751408i	0.0145994	+	0.0252869i	−0.858633	+	0.512590i	$0.828686\pi$
$884$	18.6593	−	3.29013i	0.627579	−	0.110659i
$885$	0.446658	+	1.24969i	0.0150142	+	0.0420080i
$886$	47.6396	−	17.3394i	1.60048	−	0.582528i
$887$	6.29277	−	35.6881i	0.211291	−	1.19829i	−0.675938	−	0.736959i	$-0.736261\pi$
$887$	6.29277	−	35.6881i	0.211291	−	1.19829i	0.887229	−	0.461330i	$-0.152628\pi$
$888$	52.1911	+	19.3397i	1.75142	+	0.648996i
$889$	27.8022	+	5.69669i	0.932457	+	0.191061i
$890$		−	1.19371i		−	0.0400132i
$891$	46.4903	+	9.31467i	1.55748	+	0.312053i
$892$			23.8088i			0.797177i
$893$	−0.548902	−	0.654156i	−0.0183683	−	0.0218905i
$894$	1.98806	−	5.36510i	0.0664907	−	0.179436i
$895$	33.7534	+	5.95163i	1.12825	+	0.198941i
$896$	27.0405	−	43.9887i	0.903360	−	1.46956i
$897$	8.56463	+	23.9628i	0.285965	+	0.800094i
$898$	2.74976	+	15.5947i	0.0917606	+	0.520400i
$899$	1.73744	+	3.00933i	0.0579468	+	0.100367i
$900$	−2.23937	+	11.8916i	−0.0746456	+	0.396385i
$901$	−6.97034	−	4.02433i	−0.232216	−	0.134070i
$902$	−62.3551	−	22.6954i	−2.07620	−	0.755674i
$903$	1.51994	+	10.6958i	0.0505804	+	0.355933i
$904$	−7.11630	−	5.97128i	−0.236685	−	0.198602i
$905$	3.96994	−	4.73118i	0.131965	−	0.157270i
$906$	29.9705	+	0.173877i	0.995704	+	0.00577668i
$907$	−17.3097	−	6.30023i	−0.574761	−	0.209196i	0.0382530	−	0.999268i	$-0.487821\pi$
$907$	−17.3097	−	6.30023i	−0.574761	−	0.209196i	−0.613014	+	0.790072i	$0.710043\pi$
$908$	9.62317	−	16.6678i	0.319356	−	0.553141i
$909$	−6.90459	+	11.6449i	−0.229011	+	0.386238i
$910$	20.0961	−	50.8098i	0.666181	−	1.68433i
$911$	−22.9703	+	4.05028i	−0.761039	+	0.134192i	−0.540681	−	0.841228i	$-0.681833\pi$
$911$	−22.9703	+	4.05028i	−0.761039	+	0.134192i	−0.220357	+	0.975419i	$0.570722\pi$
$912$	−0.278582	+	1.52802i	−0.00922477	+	0.0505980i
$913$	28.7785	+	79.0682i	0.952429	+	2.61678i
$914$	−64.8060	−	11.4270i	−2.14359	−	0.377973i
$915$	7.83240	+	45.9780i	0.258931	+	1.51998i
$916$	13.5491	+	16.1472i	0.447675	+	0.533519i
$917$	−3.47676	−	4.38338i	−0.114813	−	0.144752i
$918$	−11.5045	+	9.31713i	−0.379707	+	0.307511i
$919$	−22.5923			−0.745251			−0.372625	−	0.927982i	$-0.621542\pi$
$919$	−22.5923			−0.745251			−0.372625	+	0.927982i	$0.621542\pi$
$920$	−15.4129	+	12.9330i	−0.508149	+	0.426387i
$921$	7.54843	−	6.25962i	0.248729	−	0.206262i
$922$	20.1180	+	3.54734i	0.662549	+	0.116825i
$923$	28.5971	−	10.4085i	0.941287	−	0.342600i
$924$	−2.72320	+	81.5719i	−0.0895867	+	2.68352i
$925$	2.07877	+	11.7893i	0.0683496	+	0.387630i
$926$	−6.73472	+	3.88830i	−0.221317	+	0.127777i
$927$	12.6897	−	33.6448i	0.416784	−	1.10504i
$928$	−0.996234	+	1.72553i	−0.0327030	+	0.0566432i
$929$	−5.34528	−	1.94552i	−0.175373	−	0.0638306i	0.252841	−	0.967508i	$-0.418635\pi$
$929$	−5.34528	−	1.94552i	−0.175373	−	0.0638306i	−0.428214	+	0.903677i	$0.640857\pi$
$930$	57.6923	−	32.8639i	1.89181	−	1.07765i
$931$	5.63679	+	7.52370i	0.184738	+	0.246579i
$932$	47.7025	−	56.8496i	1.56255	−	1.86217i
$933$	19.4562	−	11.0830i	0.636967	−	0.362842i
$934$	21.7894	−	59.8658i	0.712970	−	1.95887i
$935$	10.9337	+	6.31255i	0.357569	+	0.206442i
$936$	−33.9098	+	27.7897i	−1.10838	+	0.908334i
$937$	−17.5647	+	10.1410i	−0.573814	+	0.331292i	−0.758671	−	0.651474i	$-0.774151\pi$
$937$	−17.5647	+	10.1410i	−0.573814	+	0.331292i	0.184857	+	0.982765i	$0.440818\pi$
$938$	2.97049	+	2.63544i	0.0969899	+	0.0860500i
$939$	−1.73166	−	1.47024i	−0.0565107	−	0.0479795i
$940$	3.94119	−	1.43448i	0.128547	−	0.0467874i
$941$	−3.01605	+	17.1049i	−0.0983203	+	0.557602i	0.895359	+	0.445345i	$0.146919\pi$
$941$	−3.01605	+	17.1049i	−0.0983203	+	0.557602i	−0.993679	+	0.112257i	$0.964192\pi$
$942$	−39.4651	−	47.5907i	−1.28584	−	1.55059i
$943$	11.2382	+	13.3931i	0.365965	+	0.436140i
$944$	0.262214			0.00853432
$945$	3.46550	+	26.5988i	0.112733	+	0.865257i
$946$	−28.8091			−0.936665
$947$	1.66590	+	1.98534i	0.0541344	+	0.0645149i	0.792432	−	0.609960i	$-0.208815\pi$
$947$	1.66590	+	1.98534i	0.0541344	+	0.0645149i	−0.738298	+	0.674475i	$0.764370\pi$
$948$	35.0443	−	5.96984i	1.13819	−	0.193891i
$949$	10.6742	−	60.5363i	0.346499	−	1.96509i
$950$	−3.49270	+	1.27124i	−0.113318	+	0.0412444i
$951$	−2.09323	+	11.4814i	−0.0678777	+	0.372310i
$952$	−7.78522	−	6.90710i	−0.252320	−	0.223860i
$953$	37.2079	−	21.4820i	1.20528	−	0.695869i	0.243556	−	0.969887i	$-0.421686\pi$
$953$	37.2079	−	21.4820i	1.20528	−	0.695869i	0.961725	+	0.274018i	$0.0883527\pi$
$954$	45.5986	+	0.529109i	1.47631	+	0.0171305i
$955$	−11.9438	−	6.89578i	−0.386494	−	0.223142i
$956$	−11.1721	+	30.6950i	−0.361330	+	0.992747i
$957$	0.0217185	−	3.74354i	0.000702060	−	0.121011i
$958$	35.0198	−	41.7350i	1.13144	−	1.34840i
$959$	48.5999	+	1.34024i	1.56937	+	0.0432787i
$960$	36.7547	+	21.5056i	1.18625	+	0.694090i
$961$	38.2820	+	13.9335i	1.23490	+	0.449468i
$962$	−53.1008	+	91.9734i	−1.71204	+	2.96534i
$963$	15.4551	−	17.9905i	0.498033	−	0.579736i
$964$	−23.6665	+	13.6638i	−0.762245	+	0.440083i
$965$	−3.39157	−	19.2345i	−0.109178	−	0.619181i
$966$	18.0925	−	29.0531i	0.582116	−	0.934769i
$967$	28.0803	−	10.2204i	0.903003	−	0.328666i	0.151547	−	0.988450i	$-0.451574\pi$
$967$	28.0803	−	10.2204i	0.903003	−	0.328666i	0.751456	+	0.659784i	$0.229352\pi$
$968$	−52.8445	−	9.31791i	−1.69849	−	0.299489i
$969$	−2.67906	−	0.992736i	−0.0860637	−	0.0318913i
$970$	25.5302	−	21.4224i	0.819727	−	0.687832i
$971$	35.7281			1.14657			0.573285	−	0.819356i	$-0.305669\pi$
$971$	35.7281			1.14657			0.573285	+	0.819356i	$0.305669\pi$
$972$	19.4531	−	48.9781i	0.623960	−	1.57097i
$973$	−7.47173	+	5.92634i	−0.239533	+	0.189990i
$974$	23.9542	+	28.5475i	0.767541	+	0.914720i
$975$	−8.84207	−	3.27647i	−0.283173	−	0.104931i
$976$	9.07527	+	1.60021i	0.290492	+	0.0512216i
$977$	9.89567	+	27.1881i	0.316591	+	0.869826i	0.991286	+	0.131729i	$0.0420529\pi$
$977$	9.89567	+	27.1881i	0.316591	+	0.869826i	−0.674695	+	0.738097i	$0.735725\pi$
$978$	−14.1541	+	5.05886i	−0.452597	+	0.161765i
$979$	−1.36839	+	0.241285i	−0.0437341	+	0.00771149i
$980$	−44.1930	+	13.3769i	−1.41169	+	0.427310i
$981$	−26.1484	−	22.4632i	−0.834853	−	0.717195i
$982$	−0.458346	+	0.793878i	−0.0146264	+	0.0253337i
$983$	57.2925	+	20.8528i	1.82735	+	0.665100i	0.993601	+	0.112951i	$0.0360303\pi$
$983$	57.2925	+	20.8528i	1.82735	+	0.665100i	0.833746	+	0.552149i	$0.186192\pi$
$984$	−15.2119	+	25.9983i	−0.484937	+	0.828795i
$985$	19.1159	−	22.7814i	0.609082	−	0.725876i
$986$	0.895403	+	0.751332i	0.0285154	+	0.0239273i
$987$	−2.29335	+	1.79744i	−0.0729981	+	0.0572130i
$988$	−19.4681	−	7.08581i	−0.619363	−	0.225430i
$989$	6.57359	+	3.79526i	0.209028	+	0.120682i
$990$	−71.5259	−	0.829958i	−2.27324	−	0.0263778i
$991$	17.9449	+	31.0815i	0.570039	+	0.987336i	0.996561	+	0.0828594i	$0.0264052\pi$
$991$	17.9449	+	31.0815i	0.570039	+	0.987336i	−0.426522	+	0.904477i	$0.640261\pi$
$992$	7.14293	+	40.5096i	0.226788	+	1.28618i
$993$	5.94815	+	1.08444i	0.188759	+	0.0344136i
$994$	−34.8696	−	21.4348i	−1.10600	−	0.679871i
$995$	−12.2608	−	2.16191i	−0.388694	−	0.0685373i
$996$	92.1945	−	15.7054i	2.92129	−	0.497646i
$997$	−6.56977	−	7.82954i	−0.208067	−	0.247964i	0.651912	−	0.758295i	$-0.273967\pi$
$997$	−6.56977	−	7.82954i	−0.208067	−	0.247964i	−0.859978	+	0.510331i	$0.829523\pi$
$998$			16.1433i			0.511007i
$999$	0.907366	−	52.1284i	0.0287078	−	1.64927i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.be.a.167.3	yes	132
3.2	odd	2		567.2.be.a.125.20		132
7.6	odd	2	inner	189.2.be.a.167.4	yes	132
21.20	even	2		567.2.be.a.125.19		132
27.11	odd	18	inner	189.2.be.a.146.4	yes	132
27.16	even	9		567.2.be.a.440.19		132
189.97	odd	18		567.2.be.a.440.20		132
189.146	even	18	inner	189.2.be.a.146.3	✓	132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.be.a.146.3	✓	132	189.146	even	18	inner
189.2.be.a.146.4	yes	132	27.11	odd	18	inner
189.2.be.a.167.3	yes	132	1.1	even	1	trivial
189.2.be.a.167.4	yes	132	7.6	odd	2	inner
567.2.be.a.125.19		132	21.20	even	2
567.2.be.a.125.20		132	3.2	odd	2
567.2.be.a.440.19		132	27.16	even	9
567.2.be.a.440.20		132	189.97	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.be (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.49103 - 1.77694i) q^{2} +(-0.601829 + 1.62413i) q^{3} +(-0.587052 + 3.32934i) q^{4} +(-1.83346 + 0.667325i) q^{5} +(3.78333 - 1.35222i) q^{6} +(1.75588 - 1.97911i) q^{7} +(2.77363 - 1.60135i) q^{8} +(-2.27560 - 1.95490i) q^{9} +O(q^{10})\)	\(q+(-1.49103 - 1.77694i) q^{2} +(-0.601829 + 1.62413i) q^{3} +(-0.587052 + 3.32934i) q^{4} +(-1.83346 + 0.667325i) q^{5} +(3.78333 - 1.35222i) q^{6} +(1.75588 - 1.97911i) q^{7} +(2.77363 - 1.60135i) q^{8} +(-2.27560 - 1.95490i) q^{9} +(3.91954 + 2.26295i) q^{10} +(1.80185 - 4.95054i) q^{11} +(-5.05397 - 2.95714i) q^{12} +(2.93306 - 3.49549i) q^{13} +(-6.13484 - 0.169181i) q^{14} +(0.0196059 - 3.37939i) q^{15} +(-0.627449 - 0.228373i) q^{16} +(0.614120 - 1.06369i) q^{17} +(-0.0807429 + 6.95843i) q^{18} +(-1.16308 + 0.671503i) q^{19} +(-1.14541 - 6.49596i) q^{20} +(2.15760 + 4.04287i) q^{21} +(-11.4834 + 4.17963i) q^{22} +(3.17088 + 0.559111i) q^{23} +(0.931561 + 5.46848i) q^{24} +(-0.913971 + 0.766913i) q^{25} -10.5846 q^{26} +(4.54453 - 2.51937i) q^{27} +(5.55833 + 7.00776i) q^{28} +(-0.263712 - 0.314280i) q^{29} +(-6.03422 + 5.00394i) q^{30} +(-8.34120 - 1.47078i) q^{31} +(-1.66104 - 4.56367i) q^{32} +(6.95592 + 5.90581i) q^{33} +(-2.80578 + 0.494735i) q^{34} +(-1.89863 + 4.80036i) q^{35} +(7.84441 - 6.42863i) q^{36} +(5.01682 - 8.68938i) q^{37} +(2.92740 + 1.06549i) q^{38} +(3.91193 + 6.86737i) q^{39} +(-4.01671 + 4.78693i) q^{40} +(4.15962 + 3.49034i) q^{41} +(3.96690 - 9.86197i) q^{42} +(2.21529 + 0.806299i) q^{43} +(15.4242 + 8.90518i) q^{44} +(5.47678 + 2.06566i) q^{45} +(-3.73437 - 6.46811i) q^{46} +(0.110413 + 0.626183i) q^{47} +(0.748524 - 0.881618i) q^{48} +(-0.833765 - 6.95017i) q^{49} +(2.72552 + 0.480583i) q^{50} +(1.35797 + 1.63757i) q^{51} +(9.91580 + 11.8172i) q^{52} -6.55301i q^{53} +(-11.2528 - 4.31892i) q^{54} +10.2790i q^{55} +(1.70090 - 8.30111i) q^{56} +(-0.390635 - 2.29312i) q^{57} +(-0.165254 + 0.937202i) q^{58} +(-0.369019 + 0.134312i) q^{59} +(11.2396 + 2.04915i) q^{60} +(-13.5915 + 2.39655i) q^{61} +(9.82350 + 17.0148i) q^{62} +(-7.86465 + 1.07111i) q^{63} +(-6.30044 + 10.9127i) q^{64} +(-3.04503 + 8.36614i) q^{65} +(0.122797 - 21.1660i) q^{66} +(-0.495669 - 0.415916i) q^{67} +(3.18085 + 2.66905i) q^{68} +(-2.81639 + 4.81343i) q^{69} +(11.3609 - 3.78374i) q^{70} +(5.77582 + 3.33467i) q^{71} +(-9.44216 - 1.77811i) q^{72} +(11.6665 - 6.73566i) q^{73} +(-22.9208 + 4.04155i) q^{74} +(-0.695513 - 1.94596i) q^{75} +(-1.55287 - 4.26648i) q^{76} +(-6.63383 - 12.2586i) q^{77} +(6.37010 - 17.1907i) q^{78} +(-4.65068 + 3.90239i) q^{79} +1.30280 q^{80} +(1.35675 + 8.89715i) q^{81} -12.5956i q^{82} +(-12.2350 + 10.2664i) q^{83} +(-14.7267 + 4.80999i) q^{84} +(-0.416139 + 2.36004i) q^{85} +(-1.87032 - 5.13865i) q^{86} +(0.669141 - 0.239160i) q^{87} +(-2.92991 - 16.6163i) q^{88} +(-0.131875 - 0.228415i) q^{89} +(-4.49549 - 12.8119i) q^{90} +(-1.76785 - 11.9425i) q^{91} +(-3.72294 + 10.2287i) q^{92} +(7.40871 - 12.6620i) q^{93} +(0.948062 - 1.12986i) q^{94} +(1.68434 - 2.00732i) q^{95} +(8.41167 + 0.0488012i) q^{96} +(2.51853 - 6.91962i) q^{97} +(-11.1069 + 11.8445i) q^{98} +(-13.7781 + 7.74303i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 12 q^{2} - 12 q^{4} - 6 q^{7} - 18 q^{8} - 6 q^{9}+O(q^{10}) \) 132 * q - 12 * q^2 - 12 * q^4 - 6 * q^7 - 18 * q^8 - 6 * q^9	\( 132 q - 12 q^{2} - 12 q^{4} - 6 q^{7} - 18 q^{8} - 6 q^{9} - 18 q^{11} + 3 q^{14} - 24 q^{15} - 24 q^{16} - 12 q^{18} - 12 q^{21} - 12 q^{22} + 12 q^{23} - 12 q^{25} - 12 q^{28} - 48 q^{29} + 42 q^{30} - 6 q^{32} - 36 q^{35} - 36 q^{36} - 6 q^{37} - 18 q^{39} - 12 q^{43} - 18 q^{44} - 6 q^{46} - 24 q^{49} + 18 q^{50} + 24 q^{51} + 57 q^{56} - 12 q^{58} - 6 q^{60} + 21 q^{63} + 18 q^{64} + 78 q^{65} - 12 q^{67} - 69 q^{70} + 18 q^{71} + 114 q^{72} - 6 q^{74} - 57 q^{77} + 12 q^{78} + 24 q^{79} - 42 q^{81} - 48 q^{84} + 54 q^{85} - 42 q^{86} - 72 q^{88} + 6 q^{91} - 120 q^{92} - 60 q^{93} + 126 q^{95} + 126 q^{98} - 192 q^{99}+O(q^{100}) \) 132 * q - 12 * q^2 - 12 * q^4 - 6 * q^7 - 18 * q^8 - 6 * q^9 - 18 * q^11 + 3 * q^14 - 24 * q^15 - 24 * q^16 - 12 * q^18 - 12 * q^21 - 12 * q^22 + 12 * q^23 - 12 * q^25 - 12 * q^28 - 48 * q^29 + 42 * q^30 - 6 * q^32 - 36 * q^35 - 36 * q^36 - 6 * q^37 - 18 * q^39 - 12 * q^43 - 18 * q^44 - 6 * q^46 - 24 * q^49 + 18 * q^50 + 24 * q^51 + 57 * q^56 - 12 * q^58 - 6 * q^60 + 21 * q^63 + 18 * q^64 + 78 * q^65 - 12 * q^67 - 69 * q^70 + 18 * q^71 + 114 * q^72 - 6 * q^74 - 57 * q^77 + 12 * q^78 + 24 * q^79 - 42 * q^81 - 48 * q^84 + 54 * q^85 - 42 * q^86 - 72 * q^88 + 6 * q^91 - 120 * q^92 - 60 * q^93 + 126 * q^95 + 126 * q^98 - 192 * q^99

Introduction

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