LMFDB - Embedded newform 27.3.f.a.5.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [27,3,Mod(2,27)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(27, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("27.2");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 27 = 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	27.f (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:	$0.735696713773$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			5.1
Character	$\chi$	$=$	27.5
Dual form			27.3.f.a.11.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.17948 - 2.59740i) q^{2} +(-2.99958 - 0.0504108i) q^{3} +(-1.30178 + 7.38274i) q^{4} +(-1.19547 - 3.28452i) q^{5} +(6.40658 + 7.90098i) q^{6} +(-1.88718 - 10.7027i) q^{7} +(10.2675 - 5.92795i) q^{8} +(8.99492 + 0.302422i) q^{9} +O(q^{10})$	\(q+(-2.17948 - 2.59740i) q^{2} +(-2.99958 - 0.0504108i) q^{3} +(-1.30178 + 7.38274i) q^{4} +(-1.19547 - 3.28452i) q^{5} +(6.40658 + 7.90098i) q^{6} +(-1.88718 - 10.7027i) q^{7} +(10.2675 - 5.92795i) q^{8} +(8.99492 + 0.302422i) q^{9} +(-5.92572 + 10.2637i) q^{10} +(0.00845372 - 0.0232264i) q^{11} +(4.27695 - 22.0795i) q^{12} +(6.61594 + 5.55143i) q^{13} +(-23.6862 + 28.2281i) q^{14} +(3.42032 + 9.91243i) q^{15} +(-9.59700 - 3.49302i) q^{16} +(-3.55304 - 2.05135i) q^{17} +(-18.8187 - 24.0225i) q^{18} +(-12.2710 - 21.2541i) q^{19} +(25.8050 - 4.55011i) q^{20} +(5.12120 + 32.1987i) q^{21} +(-0.0787530 + 0.0286637i) q^{22} +(7.41774 + 1.30795i) q^{23} +(-31.0970 + 17.2637i) q^{24} +(9.79218 - 8.21662i) q^{25} -29.2835i q^{26} +(-26.9657 - 1.36058i) q^{27} +81.4720 q^{28} +(12.4908 + 14.8859i) q^{29} +(18.2921 - 30.4879i) q^{30} +(-1.89483 + 10.7461i) q^{31} +(-4.37615 - 12.0234i) q^{32} +(-0.0265284 + 0.0692432i) q^{33} +(2.41560 + 13.6996i) q^{34} +(-32.8972 + 18.9932i) q^{35} +(-13.9421 + 66.0134i) q^{36} +(-5.30836 + 9.19435i) q^{37} +(-28.4609 + 78.1956i) q^{38} +(-19.5652 - 16.9855i) q^{39} +(-31.7449 - 26.6372i) q^{40} +(49.7328 - 59.2692i) q^{41} +(72.4715 - 83.4783i) q^{42} +(-18.6098 - 6.77342i) q^{43} +(0.160469 + 0.0926471i) q^{44} +(-9.75982 - 29.9055i) q^{45} +(-12.7695 - 22.1175i) q^{46} +(45.8726 - 8.08857i) q^{47} +(28.6108 + 10.9614i) q^{48} +(-64.9417 + 23.6369i) q^{49} +(-42.6837 - 7.52629i) q^{50} +(10.5542 + 6.33230i) q^{51} +(-49.5972 + 41.6170i) q^{52} +39.1277i q^{53} +(55.2372 + 73.0061i) q^{54} -0.0863937 q^{55} +(-82.8218 - 98.7032i) q^{56} +(35.7365 + 64.3718i) q^{57} +(11.4414 - 64.8872i) q^{58} +(17.6431 + 48.4740i) q^{59} +(-77.6334 + 12.3476i) q^{60} +(1.84478 + 10.4623i) q^{61} +(32.0418 - 18.4993i) q^{62} +(-13.7383 - 96.8408i) q^{63} +(-42.1176 + 72.9499i) q^{64} +(10.3246 - 28.3667i) q^{65} +(0.237671 - 0.0820091i) q^{66} +(81.7087 + 68.5618i) q^{67} +(19.7698 - 23.5608i) q^{68} +(-22.1841 - 4.29722i) q^{69} +(121.032 + 44.0520i) q^{70} +(-42.1446 - 24.3322i) q^{71} +(94.1482 - 50.2163i) q^{72} +(-8.15380 - 14.1228i) q^{73} +(35.4509 - 6.25095i) q^{74} +(-29.7866 + 24.1527i) q^{75} +(172.887 - 62.9258i) q^{76} +(-0.264539 - 0.0466454i) q^{77} +(-1.47620 + 87.8380i) q^{78} +(55.8192 - 46.8378i) q^{79} +35.6973i q^{80} +(80.8171 + 5.44052i) q^{81} -262.338 q^{82} +(-59.6196 - 71.0518i) q^{83} +(-244.382 - 4.10707i) q^{84} +(-2.49015 + 14.1224i) q^{85} +(22.9664 + 63.0997i) q^{86} +(-36.7167 - 45.2812i) q^{87} +(-0.0508863 - 0.288590i) q^{88} +(38.0224 - 21.9522i) q^{89} +(-56.4053 + 90.5286i) q^{90} +(46.9299 - 81.2850i) q^{91} +(-19.3125 + 53.0606i) q^{92} +(6.22542 - 32.1384i) q^{93} +(-120.988 - 101.521i) q^{94} +(-55.1398 + 65.7130i) q^{95} +(12.5205 + 36.2856i) q^{96} +(-88.2304 - 32.1132i) q^{97} +(202.934 + 117.164i) q^{98} +(0.0830646 - 0.206363i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 15 q^{5} - 18 q^{6} - 6 q^{7} - 9 q^{8}+O(q^{10}) $ 30 * q - 6 * q^2 - 6 * q^3 - 6 * q^4 - 15 * q^5 - 18 * q^6 - 6 * q^7 - 9 * q^8	\( 30 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 15 q^{5} - 18 q^{6} - 6 q^{7} - 9 q^{8} - 3 q^{10} - 6 q^{11} - 15 q^{12} - 6 q^{13} - 15 q^{14} - 9 q^{15} - 18 q^{16} - 9 q^{17} + 63 q^{18} - 3 q^{19} + 213 q^{20} + 132 q^{21} - 42 q^{22} + 120 q^{23} + 144 q^{24} - 15 q^{25} - 90 q^{27} - 12 q^{28} - 168 q^{29} - 243 q^{30} + 39 q^{31} - 360 q^{32} - 207 q^{33} + 54 q^{34} - 252 q^{35} - 360 q^{36} - 3 q^{37} - 84 q^{38} + 15 q^{39} - 33 q^{40} + 228 q^{41} + 486 q^{42} - 96 q^{43} + 639 q^{44} + 477 q^{45} - 3 q^{46} + 399 q^{47} + 453 q^{48} - 78 q^{49} + 303 q^{50} + 36 q^{51} - 9 q^{52} - 54 q^{54} - 12 q^{55} - 393 q^{56} - 192 q^{57} + 129 q^{58} - 474 q^{59} - 846 q^{60} + 138 q^{61} - 900 q^{62} - 585 q^{63} - 51 q^{64} - 411 q^{65} - 423 q^{66} + 354 q^{67} + 99 q^{68} + 99 q^{69} + 489 q^{70} + 315 q^{71} + 720 q^{72} - 66 q^{73} + 321 q^{74} + 255 q^{75} + 258 q^{76} + 201 q^{77} + 180 q^{78} + 30 q^{79} + 36 q^{81} - 12 q^{82} - 33 q^{83} - 588 q^{84} - 261 q^{85} - 258 q^{86} - 279 q^{87} - 642 q^{88} + 72 q^{89} + 288 q^{90} + 96 q^{91} - 3 q^{92} + 591 q^{93} - 861 q^{94} + 681 q^{95} + 270 q^{96} - 582 q^{97} + 882 q^{98} + 513 q^{99}+O(q^{100}) \) 30 * q - 6 * q^2 - 6 * q^3 - 6 * q^4 - 15 * q^5 - 18 * q^6 - 6 * q^7 - 9 * q^8 - 3 * q^10 - 6 * q^11 - 15 * q^12 - 6 * q^13 - 15 * q^14 - 9 * q^15 - 18 * q^16 - 9 * q^17 + 63 * q^18 - 3 * q^19 + 213 * q^20 + 132 * q^21 - 42 * q^22 + 120 * q^23 + 144 * q^24 - 15 * q^25 - 90 * q^27 - 12 * q^28 - 168 * q^29 - 243 * q^30 + 39 * q^31 - 360 * q^32 - 207 * q^33 + 54 * q^34 - 252 * q^35 - 360 * q^36 - 3 * q^37 - 84 * q^38 + 15 * q^39 - 33 * q^40 + 228 * q^41 + 486 * q^42 - 96 * q^43 + 639 * q^44 + 477 * q^45 - 3 * q^46 + 399 * q^47 + 453 * q^48 - 78 * q^49 + 303 * q^50 + 36 * q^51 - 9 * q^52 - 54 * q^54 - 12 * q^55 - 393 * q^56 - 192 * q^57 + 129 * q^58 - 474 * q^59 - 846 * q^60 + 138 * q^61 - 900 * q^62 - 585 * q^63 - 51 * q^64 - 411 * q^65 - 423 * q^66 + 354 * q^67 + 99 * q^68 + 99 * q^69 + 489 * q^70 + 315 * q^71 + 720 * q^72 - 66 * q^73 + 321 * q^74 + 255 * q^75 + 258 * q^76 + 201 * q^77 + 180 * q^78 + 30 * q^79 + 36 * q^81 - 12 * q^82 - 33 * q^83 - 588 * q^84 - 261 * q^85 - 258 * q^86 - 279 * q^87 - 642 * q^88 + 72 * q^89 + 288 * q^90 + 96 * q^91 - 3 * q^92 + 591 * q^93 - 861 * q^94 + 681 * q^95 + 270 * q^96 - 582 * q^97 + 882 * q^98 + 513 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/27\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{5}{18}\right)$

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 $

$2$	−2.17948	−	2.59740i	−1.08974	−	1.29870i	−0.951278	−	0.308333i	$-0.900229\pi$
$2$	−2.17948	−	2.59740i	−1.08974	−	1.29870i	−0.138461	−	0.990368i	$-0.544216\pi$
$3$	−2.99958	−	0.0504108i	−0.999859	−	0.0168036i
$3$	−2.99958	−	0.0504108i	−0.999859	−	0.0168036i
$4$	−1.30178	+	7.38274i	−0.325444	+	1.84568i
$5$	−1.19547	−	3.28452i	−0.239093	−	0.656904i	−0.999968	−	0.00800483i	$-0.997452\pi$
$5$	−1.19547	−	3.28452i	−0.239093	−	0.656904i	0.760874	−	0.648899i	$-0.224770\pi$
$6$	6.40658	+	7.90098i	1.06776	+	1.31683i
$7$	−1.88718	−	10.7027i	−0.269597	−	1.52896i	−0.755618	−	0.655012i	$-0.772663\pi$
$7$	−1.88718	−	10.7027i	−0.269597	−	1.52896i	0.486021	−	0.873947i	$-0.338448\pi$
$8$	10.2675	−	5.92795i	1.28344	−	0.740994i
$9$	8.99492	+	0.302422i	0.999435	+	0.0336024i
$10$	−5.92572	+	10.2637i	−0.592572	+	1.02637i
$11$	0.00845372	−	0.0232264i	0.000768520	−	0.00211149i	−0.939308	−	0.343076i	$-0.888531\pi$
$11$	0.00845372	−	0.0232264i	0.000768520	−	0.00211149i	0.940076	+	0.340964i	$0.110753\pi$
$12$	4.27695	−	22.0795i	0.356412	−	1.83996i
$13$	6.61594	+	5.55143i	0.508918	+	0.427033i	0.860748	−	0.509031i	$-0.169996\pi$
$13$	6.61594	+	5.55143i	0.508918	+	0.427033i	−0.351830	+	0.936064i	$0.614440\pi$
$14$	−23.6862	+	28.2281i	−1.69187	+	2.01629i
$15$	3.42032	+	9.91243i	0.228021	+	0.660829i
$16$	−9.59700	−	3.49302i	−0.599813	−	0.218314i
$17$	−3.55304	−	2.05135i	−0.209003	−	0.120668i	0.391845	−	0.920031i	$-0.371837\pi$
$17$	−3.55304	−	2.05135i	−0.209003	−	0.120668i	−0.600848	+	0.799363i	$0.705170\pi$
$18$	−18.8187	−	24.0225i	−1.04548	−	1.33459i
$19$	−12.2710	−	21.2541i	−0.645844	−	1.11864i	−0.984106	−	0.177583i	$-0.943172\pi$
$19$	−12.2710	−	21.2541i	−0.645844	−	1.11864i	0.338262	−	0.941052i	$-0.390161\pi$
$20$	25.8050	−	4.55011i	1.29025	−	0.227506i
$21$	5.12120	+	32.1987i	0.243867	+	1.53327i
$22$	−0.0787530	+	0.0286637i	−0.00357968	+	0.00130290i
$23$	7.41774	+	1.30795i	0.322510	+	0.0568673i	0.332560	−	0.943082i	$-0.392088\pi$
$23$	7.41774	+	1.30795i	0.322510	+	0.0568673i	−0.0100493	+	0.999950i	$0.503199\pi$
$24$	−31.0970	+	17.2637i	−1.29571	+	0.719323i
$25$	9.79218	−	8.21662i	0.391687	−	0.328665i
$26$		−	29.2835i		−	1.12629i
$27$	−26.9657	−	1.36058i	−0.998730	−	0.0503918i
$28$	81.4720			2.90971
$29$	12.4908	+	14.8859i	0.430717	+	0.513309i	0.937129	−	0.348983i	$-0.113473\pi$
$29$	12.4908	+	14.8859i	0.430717	+	0.513309i	−0.506412	+	0.862292i	$0.669028\pi$
$30$	18.2921	−	30.4879i	0.609735	−	1.01626i
$31$	−1.89483	+	10.7461i	−0.0611237	+	0.346650i	0.938873	+	0.344262i	$0.111871\pi$
$31$	−1.89483	+	10.7461i	−0.0611237	+	0.346650i	−0.999997	+	0.00238725i	$0.999240\pi$
$32$	−4.37615	−	12.0234i	−0.136755	−	0.375730i
$33$	−0.0265284	+	0.0692432i	−0.000803892	+	0.00209828i
$34$	2.41560	+	13.6996i	0.0710471	+	0.402928i
$35$	−32.8972	+	18.9932i	−0.939921	+	0.542663i
$36$	−13.9421	+	66.0134i	−0.387280	+	1.83371i
$37$	−5.30836	+	9.19435i	−0.143469	+	0.248496i	−0.928801	−	0.370579i	$-0.879159\pi$
$37$	−5.30836	+	9.19435i	−0.143469	+	0.248496i	0.785332	+	0.619075i	$0.212492\pi$
$38$	−28.4609	+	78.1956i	−0.748970	+	2.05778i
$39$	−19.5652	−	16.9855i	−0.501671	−	0.435525i
$40$	−31.7449	−	26.6372i	−0.793624	−	0.665929i
$41$	49.7328	−	59.2692i	1.21299	−	1.44559i	0.352743	−	0.935720i	$-0.385249\pi$
$41$	49.7328	−	59.2692i	1.21299	−	1.44559i	0.860251	−	0.509870i	$-0.170307\pi$
$42$	72.4715	−	83.4783i	1.72551	−	1.98758i
$43$	−18.6098	−	6.77342i	−0.432787	−	0.157521i	0.116435	−	0.993198i	$-0.462853\pi$
$43$	−18.6098	−	6.77342i	−0.432787	−	0.157521i	−0.549221	+	0.835677i	$0.685076\pi$
$44$	0.160469	+	0.0926471i	0.00364703	+	0.00210562i
$45$	−9.75982	−	29.9055i	−0.216885	−	0.664567i
$46$	−12.7695	−	22.1175i	−0.277599	−	0.480815i
$47$	45.8726	−	8.08857i	0.976012	−	0.172097i	0.337177	−	0.941441i	$-0.390528\pi$
$47$	45.8726	−	8.08857i	0.976012	−	0.172097i	0.638835	+	0.769344i	$0.279417\pi$
$48$	28.6108	+	10.9614i	0.596059	+	0.228362i
$49$	−64.9417	+	23.6369i	−1.32534	+	0.482385i
$50$	−42.6837	−	7.52629i	−0.853675	−	0.150526i
$51$	10.5542	+	6.33230i	0.206945	+	0.124163i
$52$	−49.5972	+	41.6170i	−0.953793	+	0.800327i
$53$			39.1277i			0.738259i	0.929378	+	0.369130i	$0.120344\pi$
$53$			39.1277i			0.738259i	−0.929378	+	0.369130i	$0.879656\pi$
$54$	55.2372	+	73.0061i	1.02291	+	1.35197i
$55$	−0.0863937			−0.00157079
$56$	−82.8218	−	98.7032i	−1.47896	−	1.76256i
$57$	35.7365	+	64.3718i	0.626956	+	1.12933i
$58$	11.4414	−	64.8872i	0.197265	−	1.11875i
$59$	17.6431	+	48.4740i	0.299035	+	0.821593i	0.994662	+	0.103189i	$0.0329046\pi$
$59$	17.6431	+	48.4740i	0.299035	+	0.821593i	−0.695627	+	0.718404i	$0.744873\pi$
$60$	−77.6334	+	12.3476i	−1.29389	+	0.205793i
$61$	1.84478	+	10.4623i	0.0302424	+	0.171513i	0.996188	−	0.0872321i	$-0.0278022\pi$
$61$	1.84478	+	10.4623i	0.0302424	+	0.171513i	−0.965946	+	0.258745i	$0.916691\pi$
$62$	32.0418	−	18.4993i	0.516803	−	0.298377i
$63$	−13.7383	−	96.8408i	−0.218068	−	1.53716i
$64$	−42.1176	+	72.9499i	−0.658088	+	1.13984i
$65$	10.3246	−	28.3667i	0.158841	−	0.436411i
$66$	0.237671	−	0.0820091i	0.00360107	−	0.00124256i
$67$	81.7087	+	68.5618i	1.21953	+	1.02331i	0.998849	+	0.0479644i	$0.0152734\pi$
$67$	81.7087	+	68.5618i	1.21953	+	1.02331i	0.220684	+	0.975345i	$0.429171\pi$
$68$	19.7698	−	23.5608i	0.290733	−	0.346482i
$69$	−22.1841	−	4.29722i	−0.321509	−	0.0622786i
$70$	121.032	+	44.0520i	1.72903	+	0.629314i
$71$	−42.1446	−	24.3322i	−0.593586	−	0.342707i	0.172928	−	0.984934i	$-0.444677\pi$
$71$	−42.1446	−	24.3322i	−0.593586	−	0.342707i	−0.766514	+	0.642227i	$0.778011\pi$
$72$	94.1482	−	50.2163i	1.30761	−	0.697449i
$73$	−8.15380	−	14.1228i	−0.111696	−	0.193463i	0.804758	−	0.593603i	$-0.202295\pi$
$73$	−8.15380	−	14.1228i	−0.111696	−	0.193463i	−0.916454	+	0.400140i	$0.868962\pi$
$74$	35.4509	−	6.25095i	0.479066	−	0.0844723i
$75$	−29.7866	+	24.1527i	−0.397155	+	0.322037i
$76$	172.887	−	62.9258i	2.27483	−	0.827972i
$77$	−0.264539	−	0.0466454i	−0.00343557	−	0.000605784i
$78$	−1.47620	+	87.8380i	−0.0189257	+	1.12613i
$79$	55.8192	−	46.8378i	0.706572	−	0.592884i	−0.217063	−	0.976158i	$-0.569648\pi$
$79$	55.8192	−	46.8378i	0.706572	−	0.592884i	0.923635	+	0.383273i	$0.125203\pi$
$80$			35.6973i			0.446217i
$81$	80.8171	+	5.44052i	0.997742	+	0.0671669i
$82$	−262.338			−3.19924
$83$	−59.6196	−	71.0518i	−0.718308	−	0.856046i	0.276157	−	0.961112i	$-0.410939\pi$
$83$	−59.6196	−	71.0518i	−0.718308	−	0.856046i	−0.994465	+	0.105066i	$0.966494\pi$
$84$	−244.382	−	4.10707i	−2.90930	−	0.0488936i
$85$	−2.49015	+	14.1224i	−0.0292959	+	0.166145i
$86$	22.9664	+	63.0997i	0.267051	+	0.733718i
$87$	−36.7167	−	45.2812i	−0.422031	−	0.520474i
$88$	−0.0508863	−	0.288590i	−0.000578253	−	0.00327944i
$89$	38.0224	−	21.9522i	0.427218	−	0.246654i	−0.270943	−	0.962595i	$-0.587335\pi$
$89$	38.0224	−	21.9522i	0.427218	−	0.246654i	0.698161	+	0.715941i	$0.254002\pi$
$90$	−56.4053	+	90.5286i	−0.626726	+	1.00587i
$91$	46.9299	−	81.2850i	0.515714	−	0.893242i
$92$	−19.3125	+	53.0606i	−0.209918	+	0.576745i
$93$	6.22542	−	32.1384i	0.0669400	−	0.345574i
$94$	−120.988	−	101.521i	−1.28710	−	1.08001i
$95$	−55.1398	+	65.7130i	−0.580419	+	0.691716i
$96$	12.5205	+	36.2856i	0.130422	+	0.377975i
$97$	−88.2304	−	32.1132i	−0.909592	−	0.331064i	−0.155502	−	0.987836i	$-0.549700\pi$
$97$	−88.2304	−	32.1132i	−0.909592	−	0.331064i	−0.754090	+	0.656771i	$0.771922\pi$
$98$	202.934	+	117.164i	2.07075	+	1.19555i
$99$	0.0830646	−	0.206363i	0.000839037	−	0.00208447i
$100$	47.9139	+	82.9893i	0.479139	+	0.829893i
$101$	−123.230	+	21.7288i	−1.22010	+	0.215137i	−0.746369	−	0.665532i	$-0.768205\pi$
$101$	−123.230	+	21.7288i	−1.22010	+	0.215137i	−0.473732	+	0.880669i	$0.657093\pi$
$102$	−6.55518	−	41.2147i	−0.0642664	−	0.404065i
$103$	−30.4219	+	11.0727i	−0.295359	+	0.107502i	−0.485449	−	0.874265i	$-0.661344\pi$
$103$	−30.4219	+	11.0727i	−0.295359	+	0.107502i	0.190091	+	0.981767i	$0.439122\pi$
$104$	100.838	+	17.7804i	0.969595	+	0.170966i
$105$	99.6352	−	55.3132i	0.948907	−	0.526793i
$106$	101.630	−	85.2781i	0.958778	−	0.804510i
$107$			144.244i			1.34807i	0.738698	+	0.674037i	$0.235441\pi$
$107$			144.244i			1.34807i	−0.738698	+	0.674037i	$0.764559\pi$
$108$	45.1481	−	197.309i	0.418038	−	1.82694i
$109$	70.5582			0.647323			0.323661	−	0.946173i	$-0.395086\pi$
$109$	70.5582			0.647323			0.323661	+	0.946173i	$0.395086\pi$
$110$	0.188293	+	0.224399i	0.00171176	+	0.00203999i
$111$	16.3863	−	27.3116i	0.147625	−	0.246050i
$112$	−19.2736	+	109.306i	−0.172086	+	0.975946i
$113$	−47.7280	−	131.132i	−0.422371	−	1.16046i	−0.950346	−	0.311196i	$-0.899270\pi$
$113$	−47.7280	−	131.132i	−0.422371	−	1.16046i	0.527974	−	0.849260i	$-0.322952\pi$
$114$	89.3125	−	233.119i	0.783443	−	2.04490i
$115$	−4.57169	−	25.9273i	−0.0397538	−	0.225455i
$116$	−126.159	+	72.8381i	−1.08758	+	0.627914i
$117$	57.8309	+	51.9355i	0.494282	+	0.443893i
$118$	87.4537	−	151.474i	0.741133	−	1.28368i
$119$	−15.2498	+	41.8985i	−0.128150	+	0.352088i
$120$	93.8786	+	81.5005i	0.782322	+	0.679171i
$121$	92.6909	+	77.7769i	0.766041	+	0.642784i
$122$	23.1541	−	27.5940i	0.189788	−	0.226180i
$123$	−152.165	+	175.275i	−1.23711	+	1.42500i
$124$	−76.8693	−	27.9781i	−0.619914	−	0.225630i
$125$	−114.370	−	66.0313i	−0.914957	−	0.528251i
$126$	−221.592	+	246.746i	−1.75867	+	1.95830i
$127$	110.188	+	190.851i	0.867620	+	1.50276i	0.864422	+	0.502767i	$0.167685\pi$
$127$	110.188	+	190.851i	0.867620	+	1.50276i	0.00319822	+	0.999995i	$0.498982\pi$
$128$	230.872	−	40.7090i	1.80369	−	0.318039i
$129$	55.4801	+	21.2555i	0.430078	+	0.164772i
$130$	−96.1822	+	35.0074i	−0.739863	+	0.269288i
$131$	141.954	+	25.0304i	1.08362	+	0.191072i	0.686816	−	0.726831i	$-0.259008\pi$
$131$	141.954	+	25.0304i	1.08362	+	0.191072i	0.396805	+	0.917903i	$0.370119\pi$
$132$	−0.476670	−	0.285991i	−0.00361114	−	0.00216660i
$133$	−204.319	+	171.444i	−1.53623	+	1.28905i
$134$		−	361.659i		−	2.69895i
$135$	27.7678	+	90.1959i	0.205687	+	0.668118i
$136$	−48.6412			−0.357656
$137$	−15.0013	−	17.8778i	−0.109498	−	0.130495i	0.708512	−	0.705699i	$-0.249367\pi$
$137$	−15.0013	−	17.8778i	−0.109498	−	0.130495i	−0.818010	+	0.575204i	$0.804923\pi$
$138$	37.1883	+	66.9868i	0.269480	+	0.485412i
$139$	45.0971	−	255.758i	0.324440	−	1.83999i	−0.189145	−	0.981949i	$-0.560572\pi$
$139$	45.0971	−	255.758i	0.324440	−	1.83999i	0.513585	−	0.858039i	$-0.328317\pi$
$140$	−97.3971	−	267.596i	−0.695694	−	1.91140i
$141$	−138.006	+	21.9498i	−0.978766	+	0.155672i
$142$	28.6528	+	162.498i	0.201780	+	1.14435i
$143$	0.184869	−	0.106734i	0.00129279	−	0.000746393i
$144$	−85.2679	−	34.3218i	−0.592138	−	0.238346i
$145$	33.9609	−	58.8219i	0.234213	−	0.405668i
$146$	−18.9115	+	51.9590i	−0.129531	+	0.355884i
$147$	195.989	−	67.6268i	1.33326	−	0.460046i
$148$	−60.9692	−	51.1592i	−0.411954	−	0.345671i
$149$	−107.527	+	128.145i	−0.721657	+	0.860037i	−0.994791	−	0.101939i	$-0.967495\pi$
$149$	−107.527	+	128.145i	−0.721657	+	0.860037i	0.273134	+	0.961976i	$0.411940\pi$
$150$	127.654	+	24.7274i	0.851025	+	0.164849i
$151$	180.093	+	65.5485i	1.19267	+	0.434096i	0.860660	−	0.509180i	$-0.170051\pi$
$151$	180.093	+	65.5485i	1.19267	+	0.434096i	0.332009	+	0.943276i	$0.392273\pi$
$152$	−251.986	−	145.484i	−1.65780	−	0.957133i
$153$	−31.3390	−	19.5262i	−0.204830	−	0.127623i
$154$	0.455401	+	0.788777i	0.00295715	+	0.00512193i
$155$	37.5611	−	6.62304i	0.242330	−	0.0427293i
$156$	150.869	−	122.333i	0.967106	−	0.784187i
$157$	−138.487	+	50.4052i	−0.882083	+	0.321052i	−0.743050	−	0.669236i	$-0.766622\pi$
$157$	−138.487	+	50.4052i	−0.882083	+	0.321052i	−0.139033	+	0.990288i	$0.544399\pi$
$158$	−243.313	−	42.9027i	−1.53996	−	0.271536i
$159$	1.97246	−	117.367i	0.0124054	−	0.738155i
$160$	−34.2595	+	28.7471i	−0.214122	+	0.179669i
$161$		−	81.8583i		−	0.508437i
$162$	−162.008	−	221.772i	−1.00005	−	1.36896i
$163$	−6.51282			−0.0399560			−0.0199780	−	0.999800i	$-0.506360\pi$
$163$	−6.51282			−0.0399560			−0.0199780	+	0.999800i	$0.506360\pi$
$164$	372.828	+	444.319i	2.27334	+	2.70926i
$165$	0.259144	+	0.00435517i	0.00157057	+	2.63950e-5i
$166$	−54.6106	+	309.712i	−0.328979	+	1.86573i
$167$	82.4913	+	226.643i	0.493960	+	1.35714i	0.897028	+	0.441974i	$0.145722\pi$
$167$	82.4913	+	226.643i	0.493960	+	1.35714i	−0.403068	+	0.915170i	$0.632056\pi$
$168$	243.455	+	300.243i	1.44913	+	1.78716i
$169$	−16.3943	−	92.9767i	−0.0970077	−	0.550158i
$170$	42.1087	−	24.3115i	0.247698	−	0.143009i
$171$	−103.949	−	194.890i	−0.607891	−	1.13971i
$172$	74.2322	−	128.574i	0.431583	−	0.747523i
$173$	72.8338	−	200.109i	0.421004	−	1.15670i	−0.530128	−	0.847918i	$-0.677856\pi$
$173$	72.8338	−	200.109i	0.421004	−	1.15670i	0.951133	−	0.308783i	$-0.0999216\pi$
$174$	−37.5903	+	194.057i	−0.216036	+	1.11527i
$175$	−106.420	−	89.2968i	−0.608113	−	0.510267i
$176$	−0.162261	+	0.193375i	−0.000921935	+	0.00109872i
$177$	−50.4782	−	146.291i	−0.285187	−	0.826501i
$178$	−139.888	−	50.9150i	−0.785886	−	0.286039i
$179$	84.7250	+	48.9160i	0.473324	+	0.273274i	0.717630	−	0.696424i	$-0.245227\pi$
$179$	84.7250	+	48.9160i	0.473324	+	0.273274i	−0.244306	+	0.969698i	$0.578560\pi$
$180$	233.490	−	33.1239i	1.29716	−	0.184022i
$181$	−45.1257	−	78.1600i	−0.249313	−	0.431823i	0.714022	−	0.700123i	$-0.246872\pi$
$181$	−45.1257	−	78.1600i	−0.249313	−	0.431823i	−0.963335	+	0.268300i	$0.913538\pi$
$182$	−313.413	+	55.2631i	−1.72205	+	0.303644i
$183$	−5.00616	−	31.4754i	−0.0273561	−	0.171997i
$184$	83.9152	−	30.5426i	0.456061	−	0.165993i
$185$	36.5450	+	6.44387i	0.197541	+	0.0348317i
$186$	−97.0444	+	53.8749i	−0.521744	+	0.289650i
$187$	−0.0776819	+	0.0651829i	−0.000415411	+	0.000348571i
$188$			349.195i			1.85742i
$189$	36.3272	+	291.174i	0.192207	+	1.54060i
$190$	290.859			1.53084
$191$	−54.5783	−	65.0439i	−0.285750	−	0.340544i	0.604006	−	0.796980i	$-0.293570\pi$
$191$	−54.5783	−	65.0439i	−0.285750	−	0.340544i	−0.889756	+	0.456436i	$0.849126\pi$
$192$	130.013	−	216.696i	0.677149	−	1.12862i
$193$	−1.94961	+	11.0568i	−0.0101016	+	0.0572890i	−0.989442	−	0.144930i	$-0.953704\pi$
$193$	−1.94961	+	11.0568i	−0.0101016	+	0.0572890i	0.979340	+	0.202219i	$0.0648153\pi$
$194$	108.885	+	299.160i	0.561265	+	1.54206i
$195$	−32.3996	+	84.5677i	−0.166152	+	0.433681i
$196$	−89.9652	−	510.218i	−0.459006	−	2.60315i
$197$	301.934	−	174.322i	1.53266	−	0.884883i	0.533424	−	0.845848i	$-0.320905\pi$
$197$	301.934	−	174.322i	1.53266	−	0.884883i	0.999238	−	0.0390344i	$-0.0124282\pi$
$198$	−0.717045	+	0.234011i	−0.00362144	+	0.00118188i
$199$	−101.528	+	175.852i	−0.510191	+	0.883677i	0.489739	+	0.871869i	$0.337092\pi$
$199$	−101.528	+	175.852i	−0.510191	+	0.883677i	−0.999930	+	0.0118081i	$0.996241\pi$
$200$	51.8337	−	142.412i	0.259168	−	0.712059i
$201$	−241.635	−	209.775i	−1.20217	−	1.04366i
$202$	325.016	+	272.721i	1.60899	+	1.35010i
$203$	135.748	−	161.778i	0.668708	−	0.796935i
$204$	−60.4889	+	69.6758i	−0.296514	+	0.341548i
$205$	−254.125	−	92.4939i	−1.23963	−	0.451190i
$206$	95.0642	+	54.8853i	0.461477	+	0.266434i
$207$	66.3264	+	14.0082i	0.320417	+	0.0676723i
$208$	−44.1019	−	76.3867i	−0.212028	−	0.367244i
$209$	−0.597391	+	0.105336i	−0.00285833	+	0.000504001i
$210$	−360.824	−	138.239i	−1.71821	−	0.658279i
$211$	−39.6541	+	14.4329i	−0.187934	+	0.0684025i	−0.434273	−	0.900781i	$-0.642995\pi$
$211$	−39.6541	+	14.4329i	−0.187934	+	0.0684025i	0.246339	+	0.969184i	$0.420772\pi$
$212$	−288.870	−	50.9355i	−1.36259	−	0.240262i
$213$	125.189	+	75.1108i	0.587744	+	0.352633i
$214$	374.659	−	314.377i	1.75074	−	1.46905i
$215$			69.2217i			0.321961i
$216$	−284.936	+	145.882i	−1.31915	+	0.675378i
$217$	118.589			0.546492
$218$	−153.780	−	183.268i	−0.705413	−	0.840679i
$219$	23.7460	+	42.7734i	0.108429	+	0.195312i
$220$	0.112465	−	0.637822i	0.000511205	−	0.00289919i
$221$	−12.1188	−	33.2961i	−0.0548361	−	0.150661i
$222$	−106.653	+	16.9631i	−0.480418	+	0.0764103i
$223$	33.2484	+	188.561i	0.149096	+	0.845565i	0.963987	+	0.265950i	$0.0856857\pi$
$223$	33.2484	+	188.561i	0.149096	+	0.845565i	−0.814891	+	0.579615i	$0.803203\pi$
$224$	−120.424	+	69.5269i	−0.537608	+	0.310388i
$225$	90.5648	−	70.9464i	0.402510	−	0.315317i
$226$	−236.579	+	409.767i	−1.04681	+	1.81313i
$227$	−26.5074	+	72.8285i	−0.116773	+	0.320830i	−0.984285	−	0.176585i	$-0.943495\pi$
$227$	−26.5074	+	72.8285i	−0.116773	+	0.320830i	0.867513	+	0.497415i	$0.165717\pi$
$228$	−521.761	+	180.035i	−2.28842	+	0.789629i
$229$	141.145	+	118.434i	0.616352	+	0.517180i	0.896654	−	0.442731i	$-0.145990\pi$
$229$	141.145	+	118.434i	0.616352	+	0.517180i	−0.280303	+	0.959912i	$0.590435\pi$
$230$	−57.3798	+	68.3826i	−0.249477	+	0.297315i
$231$	0.791154	+	0.153252i	0.00342491	+	0.000663429i
$232$	216.493	+	78.7968i	0.933158	+	0.339642i
$233$	200.949	+	116.018i	0.862444	+	0.497932i	0.864830	−	0.502065i	$-0.167426\pi$
$233$	200.949	+	116.018i	0.862444	+	0.497932i	−0.00238616	+	0.999997i	$0.500760\pi$
$234$	8.85596	−	263.402i	0.0378460	−	1.12565i
$235$	−81.4062	−	141.000i	−0.346409	−	0.599999i
$236$	−380.838	+	67.1520i	−1.61372	+	0.284542i
$237$	−169.795	+	137.680i	−0.716435	+	0.580927i
$238$	142.064	−	51.7070i	0.596907	−	0.217256i
$239$	−360.970	−	63.6487i	−1.51033	−	0.266313i	−0.643708	−	0.765271i	$-0.722605\pi$
$239$	−360.970	−	63.6487i	−1.51033	−	0.266313i	−0.866626	+	0.498959i	$0.833716\pi$
$240$	1.79953	−	107.077i	0.00749804	−	0.446154i
$241$	115.298	−	96.7466i	0.478415	−	0.401438i	−0.371438	−	0.928458i	$-0.621135\pi$
$241$	115.298	−	96.7466i	0.478415	−	0.401438i	0.849853	+	0.527020i	$0.176691\pi$
$242$		−	410.269i		−	1.69533i
$243$	−242.143	−	20.3933i	−0.996472	−	0.0839231i
$244$	−79.6418			−0.326401
$245$	155.271	+	185.045i	0.633761	+	0.755287i
$246$	786.901	+	13.2246i	3.19879	+	0.0537587i
$247$	36.8060	−	208.737i	0.149012	−	0.845091i
$248$	44.2474	+	121.569i	0.178417	+	0.490196i
$249$	175.252	+	216.131i	0.703822	+	0.867995i
$250$	77.7563	+	440.978i	0.311025	+	1.76391i
$251$	119.378	−	68.9227i	0.475608	−	0.274592i	−0.242976	−	0.970032i	$-0.578124\pi$
$251$	119.378	−	68.9227i	0.475608	−	0.274592i	0.718584	+	0.695440i	$0.244790\pi$
$252$	732.834	+	24.6389i	2.90807	+	0.0977735i
$253$	0.0930863	−	0.161230i	0.000367930	−	0.000637274i
$254$	255.564	−	702.157i	1.00616	−	2.76440i
$255$	8.18133	−	42.2356i	0.0320836	−	0.165630i
$256$	−350.807	−	294.362i	−1.37034	−	1.14985i
$257$	−17.7402	+	21.1419i	−0.0690278	+	0.0822642i	−0.799453	−	0.600728i	$-0.794877\pi$
$257$	−17.7402	+	21.1419i	−0.0690278	+	0.0822642i	0.730425	+	0.682992i	$0.239322\pi$
$258$	−65.7086	−	190.430i	−0.254685	−	0.738101i
$259$	108.422	+	39.4625i	0.418619	+	0.152365i
$260$	195.984	+	113.151i	0.753784	+	0.435197i
$261$	107.852	+	137.675i	0.413225	+	0.527492i
$262$	−244.373	−	423.266i	−0.932720	−	1.61552i
$263$	150.278	−	26.4981i	0.571400	−	0.100753i	0.119520	−	0.992832i	$-0.461864\pi$
$263$	150.278	−	26.4981i	0.571400	−	0.100753i	0.451880	+	0.892079i	$0.350753\pi$
$264$	0.138089	+	0.868214i	0.000523065	+	0.00328869i
$265$	128.516	−	46.7759i	0.484965	−	0.176513i
$266$	890.616	+	157.040i	3.34818	+	0.590375i
$267$	−115.158	+	63.9307i	−0.431302	+	0.239441i
$268$	−612.540	+	513.982i	−2.28560	+	1.91784i
$269$			158.037i			0.587498i	0.955883	+	0.293749i	$0.0949031\pi$
$269$			158.037i			0.587498i	−0.955883	+	0.293749i	$0.905097\pi$
$270$	173.756	−	268.704i	0.643540	−	0.995200i
$271$	−281.303			−1.03802			−0.519009	−	0.854768i	$-0.673699\pi$
$271$	−281.303			−1.03802			−0.519009	+	0.854768i	$0.673699\pi$
$272$	26.9331	+	32.0977i	0.0990189	+	0.118006i
$273$	−144.868	+	241.455i	−0.530650	+	0.884450i
$274$	−13.7409	+	77.9287i	−0.0501494	+	0.284411i
$275$	−0.108062	−	0.296898i	−0.000392953	−	0.00107963i
$276$	60.6040	−	158.186i	0.219580	−	0.573136i
$277$	−1.27923	−	7.25489i	−0.00461817	−	0.0261909i	0.982412	−	0.186728i	$-0.0597884\pi$
$277$	−1.27923	−	7.25489i	−0.00461817	−	0.0261909i	−0.987030	+	0.160537i	$0.948677\pi$
$278$	−762.595	+	440.285i	−2.74315	+	1.58376i
$279$	−20.2937	+	96.0876i	−0.0727374	+	0.344400i
$280$	−225.182	+	390.026i	−0.804220	+	1.39295i
$281$	−159.535	+	438.317i	−0.567738	+	1.55985i	0.240288	+	0.970702i	$0.422758\pi$
$281$	−159.535	+	438.317i	−0.567738	+	1.55985i	−0.808026	+	0.589147i	$0.799464\pi$
$282$	357.794	+	310.618i	1.26877	+	1.10148i
$283$	−224.831	−	188.655i	−0.794454	−	0.666626i	0.152389	−	0.988321i	$-0.451303\pi$
$283$	−224.831	−	188.655i	−0.794454	−	0.666626i	−0.946844	+	0.321694i	$0.895748\pi$
$284$	234.501	−	279.468i	0.825708	−	0.984041i
$285$	168.709	−	194.332i	0.591960	−	0.681865i
$286$	−0.680150	−	0.247554i	−0.00237815	−	0.000865574i
$287$	−728.196	−	420.424i	−2.53727	−	1.46489i
$288$	−35.7270	−	109.473i	−0.124052	−	0.380114i
$289$	−136.084	−	235.704i	−0.470879	−	0.815586i
$290$	−226.801	+	39.9912i	−0.782073	+	0.137901i
$291$	263.035	+	100.774i	0.903900	+	0.346302i
$292$	114.879	−	41.8126i	0.393422	−	0.143194i
$293$	−144.908	−	25.5512i	−0.494566	−	0.0872053i	−0.0791982	−	0.996859i	$-0.525236\pi$
$293$	−144.908	−	25.5512i	−0.494566	−	0.0872053i	−0.415368	+	0.909654i	$0.636347\pi$
$294$	−602.809	−	361.672i	−2.05037	−	1.23018i
$295$	138.122	−	115.898i	0.468210	−	0.392875i
$296$			125.871i			0.425239i
$297$	−0.259562	+	0.614814i	−0.000873945	+	0.00207008i
$298$	567.198			1.90335
$299$	41.8143	+	49.8324i	0.139847	+	0.166663i
$300$	−139.538	−	251.348i	−0.465126	−	0.837827i
$301$	−37.3740	+	211.958i	−0.124166	+	0.704180i
$302$	−222.253	−	610.636i	−0.735938	−	2.02197i
$303$	370.734	−	58.9651i	1.22354	−	0.194604i
$304$	43.5243	+	246.838i	0.143172	+	0.811968i
$305$	32.1582	−	18.5666i	0.105437	−	0.0608740i
$306$	17.5851	+	123.957i	0.0574676	+	0.405088i
$307$	−34.6709	+	60.0518i	−0.112935	+	0.195608i	−0.916952	−	0.398997i	$-0.869358\pi$
$307$	−34.6709	+	60.0518i	−0.112935	+	0.195608i	0.804018	+	0.594605i	$0.202692\pi$
$308$	0.688741	−	1.89230i	0.00223617	−	0.00614383i
$309$	91.8111	−	31.6798i	0.297123	−	0.102523i
$310$	−99.0664	−	83.1266i	−0.319569	−	0.268150i
$311$	101.113	−	120.502i	0.325123	−	0.387466i	−0.578581	−	0.815625i	$-0.696393\pi$
$311$	101.113	−	120.502i	0.325123	−	0.387466i	0.903704	+	0.428159i	$0.140838\pi$
$312$	−301.574	−	58.4171i	−0.966585	−	0.187234i
$313$	372.351	+	135.525i	1.18962	+	0.432987i	0.859591	−	0.510983i	$-0.170719\pi$
$313$	372.351	+	135.525i	1.18962	+	0.432987i	0.330031	+	0.943970i	$0.392941\pi$
$314$	432.752	+	249.850i	1.37819	+	0.795699i
$315$	−301.652	+	160.894i	−0.957625	+	0.510773i
$316$	273.127	+	473.071i	0.864327	+	1.49706i
$317$	−220.176	+	38.8229i	−0.694561	+	0.122470i	−0.509773	−	0.860309i	$-0.670271\pi$
$317$	−220.176	+	38.8229i	−0.694561	+	0.122470i	−0.184787	+	0.982779i	$0.559160\pi$
$318$	−309.147	+	250.675i	−0.972161	+	0.788286i
$319$	0.451340	−	0.164274i	0.00141486	−	0.000514967i
$320$	289.956	+	51.1270i	0.906111	+	0.159772i
$321$	7.27144	−	432.671i	0.0226525	−	1.34788i
$322$	−212.619	+	178.408i	−0.660307	+	0.554063i
$323$			100.689i			0.311730i
$324$	−145.372	+	589.569i	−0.448678	+	1.81966i
$325$	110.398			0.339688
$326$	14.1946	+	16.9164i	0.0435416	+	0.0518909i
$327$	−211.645	−	3.55689i	−0.647231	−	0.0108773i
$328$	159.287	−	903.361i	0.485631	−	2.75415i
$329$	−173.139	−	475.696i	−0.526259	−	1.44589i
$330$	−0.553488	−	0.682594i	−0.00167724	−	0.00206847i
$331$	−17.4008	−	98.6850i	−0.0525705	−	0.298142i	0.947175	−	0.320718i	$-0.103924\pi$
$331$	−17.4008	−	98.6850i	−0.0525705	−	0.298142i	−0.999745	+	0.0225763i	$0.992813\pi$
$332$	602.168	−	347.662i	1.81376	−	1.04717i
$333$	−50.5289	+	81.0971i	−0.151738	+	0.243535i
$334$	408.895	−	708.227i	1.22424	−	2.12044i
$335$	127.512	−	350.337i	0.380634	−	1.04578i
$336$	63.3228	−	326.900i	0.188461	−	0.972916i
$337$	38.6477	+	32.4292i	0.114681	+	0.0962292i	0.698325	−	0.715781i	$-0.253929\pi$
$337$	38.6477	+	32.4292i	0.114681	+	0.0962292i	−0.583644	+	0.812010i	$0.698373\pi$
$338$	−205.767	+	245.223i	−0.608777	+	0.725513i
$339$	136.553	+	395.745i	0.402812	+	1.16739i
$340$	−101.020	−	36.7683i	−0.297118	−	0.108142i
$341$	0.233576	+	0.134855i	0.000684973	+	0.000395469i
$342$	−279.651	+	694.756i	−0.817694	+	2.03145i
$343$	109.274	+	189.267i	0.318582	+	0.551800i
$344$	−231.229	+	40.7719i	−0.672178	+	0.118523i
$345$	12.4061	+	78.0014i	0.0359597	+	0.226091i
$346$	−678.504	+	246.955i	−1.96099	+	0.713743i
$347$	314.761	+	55.5008i	0.907091	+	0.159945i	0.607682	−	0.794180i	$-0.292099\pi$
$347$	314.761	+	55.5008i	0.907091	+	0.159945i	0.299409	+	0.954125i	$0.403211\pi$
$348$	382.096	−	212.124i	1.09798	−	0.609551i
$349$	130.614	−	109.598i	0.374253	−	0.314035i	−0.436189	−	0.899855i	$-0.643672\pi$
$349$	130.614	−	109.598i	0.374253	−	0.314035i	0.810441	+	0.585820i	$0.199227\pi$
$350$			471.035i			1.34581i
$351$	−170.850	−	158.700i	−0.486753	−	0.452136i
$352$	−0.316254			−0.000898450
$353$	265.528	+	316.443i	0.752203	+	0.896440i	0.997328	−	0.0730510i	$-0.0232736\pi$
$353$	265.528	+	316.443i	0.752203	+	0.896440i	−0.245125	+	0.969491i	$0.578829\pi$
$354$	−269.960	+	449.950i	−0.762598	+	1.27104i
$355$	−29.5371	+	167.513i	−0.0832031	+	0.471868i
$356$	112.571	+	309.286i	0.316211	+	0.868781i
$357$	47.8551	−	124.909i	0.134048	−	0.349885i
$358$	−57.6019	−	326.676i	−0.160899	−	0.912504i
$359$	−264.221	+	152.548i	−0.735992	+	0.424925i	−0.820610	−	0.571488i	$-0.806366\pi$
$359$	−264.221	+	152.548i	−0.735992	+	0.424925i	0.0846185	+	0.996413i	$0.473033\pi$
$360$	−277.488	−	249.200i	−0.770799	−	0.692221i
$361$	−120.657	+	208.984i	−0.334230	+	0.578903i
$362$	−104.662	+	287.558i	−0.289123	+	0.794358i
$363$	−274.113	−	237.970i	−0.755131	−	0.655566i
$364$	539.014	+	452.286i	1.48081	+	1.24254i
$365$	−36.6390	+	43.6646i	−0.100381	+	0.119629i
$366$	−70.8436	+	81.6031i	−0.193562	+	0.222959i
$367$	240.039	+	87.3672i	0.654059	+	0.238058i	0.647669	−	0.761922i	$-0.275744\pi$
$367$	240.039	+	87.3672i	0.654059	+	0.238058i	0.00638945	+	0.999980i	$0.497966\pi$
$368$	−66.6193	−	38.4627i	−0.181031	−	0.104518i
$369$	465.266	−	518.081i	1.26088	−	1.40401i
$370$	−62.9118	−	108.966i	−0.170032	−	0.294504i
$371$	418.773	−	73.8410i	1.12877	−	0.199032i
$372$	229.165	+	87.7976i	0.616035	+	0.236015i
$373$	449.147	−	163.476i	1.20415	−	0.438274i	0.339477	−	0.940614i	$-0.389750\pi$
$373$	449.147	−	163.476i	1.20415	−	0.438274i	0.864670	+	0.502340i	$0.167528\pi$
$374$	0.338612	+	0.0597065i	0.000905380	+	0.000159643i
$375$	339.732	+	203.831i	0.905951	+	0.543551i
$376$	423.048	−	354.980i	1.12513	−	0.944095i
$377$			167.826i			0.445163i
$378$	677.121	−	728.964i	1.79133	−	1.92848i
$379$	−592.531			−1.56341			−0.781704	−	0.623650i	$-0.785649\pi$
$379$	−592.531			−1.56341			−0.781704	+	0.623650i	$0.785649\pi$
$380$	−413.362	−	492.626i	−1.08780	−	1.29638i
$381$	−320.896	−	578.026i	−0.842246	−	1.51713i
$382$	−49.9928	+	283.524i	−0.130871	+	0.742208i
$383$	56.6078	+	155.529i	0.147801	+	0.406080i	0.991395	−	0.130901i	$-0.0417870\pi$
$383$	56.6078	+	155.529i	0.147801	+	0.406080i	−0.843594	+	0.536981i	$0.819565\pi$
$384$	−694.571	+	110.471i	−1.80878	+	0.287686i
$385$	0.163040	+	0.924647i	0.000423481	+	0.00240168i
$386$	32.9680	−	19.0341i	0.0854093	−	0.0493111i
$387$	−165.345	−	66.5544i	−0.427249	−	0.171975i
$388$	351.940	−	609.578i	0.907062	−	1.57108i
$389$	−200.951	+	552.108i	−0.516583	+	1.41930i	0.357679	+	0.933845i	$0.383568\pi$
$389$	−200.951	+	552.108i	−0.516583	+	1.41930i	−0.874262	+	0.485455i	$0.838654\pi$
$390$	290.270	−	100.159i	0.744283	−	0.256818i
$391$	−23.6725	−	19.8636i	−0.0605435	−	0.0508020i
$392$	−526.672	+	627.663i	−1.34355	+	1.60118i
$393$	−424.541	−	82.2366i	−1.08026	−	0.209253i
$394$	−1110.84	−	404.314i	−2.81940	−	1.02618i
$395$	−220.570	−	127.346i	−0.558405	−	0.322395i
$396$	1.41539	+	0.881883i	0.00357422	+	0.00222698i
$397$	91.4677	+	158.427i	0.230397	+	0.399060i	0.957925	−	0.287018i	$-0.0926641\pi$
$397$	91.4677	+	158.427i	0.230397	+	0.399060i	−0.727528	+	0.686078i	$0.759331\pi$
$398$	678.036	−	119.556i	1.70361	−	0.300392i
$399$	621.512	−	503.958i	1.55767	−	1.26305i
$400$	−122.676	+	44.6506i	−0.306691	+	0.111626i
$401$	−295.450	−	52.0958i	−0.736783	−	0.129915i	−0.207350	−	0.978267i	$-0.566484\pi$
$401$	−295.450	−	52.0958i	−0.736783	−	0.129915i	−0.529432	+	0.848352i	$0.677595\pi$
$402$	−18.2315	+	1084.82i	−0.0453520	+	2.69857i
$403$	−72.1926	+	60.5768i	−0.179138	+	0.150315i
$404$		−	938.062i		−	2.32194i
$405$	−78.7447	−	271.949i	−0.194431	−	0.671480i
$406$	−716.061			−1.76370
$407$	0.168676	+	0.201021i	0.000414438	+	0.000493908i
$408$	145.903	+	2.45204i	0.357606	+	0.00600990i
$409$	−38.5443	+	218.595i	−0.0942402	+	0.534463i	0.900737	+	0.434364i	$0.143027\pi$
$409$	−38.5443	+	218.595i	−0.0942402	+	0.534463i	−0.994978	+	0.100099i	$0.968084\pi$
$410$	313.616	+	861.653i	0.764917	+	2.10159i
$411$	44.0962	+	54.3821i	0.107290	+	0.132317i
$412$	−42.1441	−	239.011i	−0.102292	−	0.580124i
$413$	485.507	−	280.308i	1.17556	−	0.678711i
$414$	−108.172	−	202.807i	−0.261285	−	0.489872i
$415$	−162.098	+	280.762i	−0.390597	+	0.676534i
$416$	37.7946	−	103.840i	0.0908524	−	0.249615i
$417$	−148.165	+	764.893i	−0.355312	+	1.83428i
$418$	1.57560	+	1.32209i	0.00376938	+	0.00316289i
$419$	−100.658	+	119.959i	−0.240233	+	0.286298i	−0.872667	−	0.488316i	$-0.837611\pi$
$419$	−100.658	+	119.959i	−0.240233	+	0.286298i	0.632434	+	0.774614i	$0.282056\pi$
$420$	278.660	+	807.586i	0.663477	+	1.92282i
$421$	−131.057	−	47.7007i	−0.311298	−	0.113303i	0.181647	−	0.983364i	$-0.441857\pi$
$421$	−131.057	−	47.7007i	−0.311298	−	0.113303i	−0.492945	+	0.870061i	$0.664080\pi$
$422$	123.913	+	71.5415i	0.293634	+	0.169530i
$423$	415.066	−	58.8832i	0.981244	−	0.139204i
$424$	231.947	+	401.745i	0.547046	+	0.947511i
$425$	−51.6472	+	9.10680i	−0.121523	+	0.0214278i
$426$	−77.7546	−	488.870i	−0.182522	−	1.14758i
$427$	108.494	−	39.4884i	0.254083	−	0.0924787i
$428$	−1064.91	−	187.773i	−2.48812	−	0.438722i
$429$	−0.559909	+	0.310838i	−0.00130515	+	0.000724564i
$430$	179.797	−	150.867i	0.418132	−	0.350854i
$431$		−	327.480i		−	0.759815i	−0.925025	−	0.379907i	$-0.875956\pi$
$431$		−	327.480i		−	0.759815i	0.925025	−	0.379907i	$-0.124044\pi$
$432$	254.037	+	107.249i	0.588049	+	0.248262i
$433$	−230.390			−0.532080			−0.266040	−	0.963962i	$-0.585715\pi$
$433$	−230.390			−0.532080			−0.266040	+	0.963962i	$0.585715\pi$
$434$	−258.462	−	308.023i	−0.595534	−	0.709730i
$435$	−104.833	+	174.729i	−0.240996	+	0.401676i
$436$	−91.8509	+	520.912i	−0.210667	+	1.19475i
$437$	−63.2242	−	173.707i	−0.144678	−	0.397499i
$438$	59.3459	−	154.902i	0.135493	−	0.353657i
$439$	80.1674	+	454.652i	0.182614	+	1.03565i	0.928983	+	0.370122i	$0.120684\pi$
$439$	80.1674	+	454.652i	0.182614	+	1.03565i	−0.746369	+	0.665532i	$0.768205\pi$
$440$	−0.887048	+	0.512137i	−0.00201602	+	0.00116395i
$441$	−591.294	+	192.972i	−1.34080	+	0.437578i
$442$	−60.0707	+	104.045i	−0.135907	+	0.235397i
$443$	205.956	−	565.858i	0.464911	−	1.27733i	−0.456840	−	0.889549i	$-0.651019\pi$
$443$	205.956	−	565.858i	0.464911	−	1.27733i	0.921751	−	0.387783i	$-0.126759\pi$
$444$	180.303	+	156.530i	0.406087	+	0.352544i
$445$	−117.557	−	98.6421i	−0.264173	−	0.221668i
$446$	417.305	−	497.324i	0.935660	−	1.11508i
$447$	328.995	−	378.962i	0.736006	−	0.847789i
$448$	860.245	+	313.104i	1.92019	+	0.698892i
$449$	392.805	+	226.786i	0.874843	+	0.505091i	0.868955	−	0.494892i	$-0.164792\pi$
$449$	392.805	+	226.786i	0.874843	+	0.505091i	0.00588852	+	0.999983i	$0.498126\pi$
$450$	−381.660	−	80.6069i	−0.848134	−	0.179126i
$451$	−0.956183	−	1.65616i	−0.00212014	−	0.00367219i
$452$	1030.24	−	181.659i	2.27929	−	0.401901i
$453$	−536.899	−	205.696i	−1.18521	−	0.454076i
$454$	246.937	−	89.8778i	0.543915	−	0.197969i
$455$	−323.086	−	56.9687i	−0.710078	−	0.125206i
$456$	748.518	+	449.094i	1.64149	+	0.984855i
$457$	62.3733	−	52.3374i	0.136484	−	0.114524i	−0.571990	−	0.820261i	$-0.693828\pi$
$457$	62.3733	−	52.3374i	0.136484	−	0.114524i	0.708474	+	0.705737i	$0.249384\pi$
$458$		−	624.734i		−	1.36405i
$459$	93.0193	+	60.1503i	0.202656	+	0.131046i
$460$	197.366			0.429056
$461$	−228.804	−	272.678i	−0.496321	−	0.591492i	0.458493	−	0.888698i	$-0.348390\pi$
$461$	−228.804	−	272.678i	−0.496321	−	0.591492i	−0.954813	+	0.297206i	$0.903945\pi$
$462$	−1.32625	−	2.38895i	−0.00287066	−	0.00517090i
$463$	−114.233	+	647.847i	−0.246723	+	1.39924i	0.569733	+	0.821830i	$0.307047\pi$
$463$	−114.233	+	647.847i	−0.246723	+	1.39924i	−0.816456	+	0.577408i	$0.804064\pi$
$464$	−67.8772	−	186.491i	−0.146287	−	0.401920i
$465$	−113.001	+	17.9728i	−0.243014	+	0.0386512i
$466$	−136.619	−	774.806i	−0.293174	−	1.66267i
$467$	183.031	−	105.673i	0.391929	−	0.226280i	−0.291066	−	0.956703i	$-0.594010\pi$
$467$	183.031	−	105.673i	0.391929	−	0.226280i	0.682996	+	0.730422i	$0.260677\pi$
$468$	−458.709	+	359.342i	−0.980147	+	0.767825i
$469$	579.598	−	1003.89i	1.23582	−	2.14050i
$470$	−188.810	+	518.751i	−0.401723	+	1.10372i
$471$	417.944	−	144.213i	0.887354	−	0.306185i
$472$	468.502	+	393.120i	0.992589	+	0.832881i
$473$	−0.314644	+	0.374978i	−0.000665210	+	0.000792766i
$474$	727.675	+	140.956i	1.53518	+	0.297375i
$475$	−294.797	−	107.297i	−0.620625	−	0.225889i
$476$	−289.474	−	167.128i	−0.608138	−	0.351109i
$477$	−11.8331	+	351.951i	−0.0248073	+	0.737842i
$478$	621.405	+	1076.30i	1.30001	+	2.25168i
$479$	−799.678	+	141.005i	−1.66947	+	0.294373i	−0.926877	−	0.375365i	$-0.877517\pi$
$479$	−799.678	+	141.005i	−1.66947	+	0.294373i	−0.742597	+	0.669738i	$0.766406\pi$
$480$	104.213	−	84.5021i	0.217111	−	0.176046i
$481$	−86.1616	+	31.3603i	−0.179130	+	0.0651981i
$482$	−502.580	−	88.6183i	−1.04270	−	0.183855i
$483$	−4.12654	+	245.540i	−0.00854356	+	0.508365i
$484$	−694.869	+	583.065i	−1.43568	+	1.20468i
$485$			328.185i			0.676670i
$486$	474.775	+	673.389i	0.976904	+	1.38557i
$487$	328.575			0.674691			0.337346	−	0.941381i	$-0.390471\pi$
$487$	328.575			0.674691			0.337346	+	0.941381i	$0.390471\pi$
$488$	80.9613	+	96.4859i	0.165904	+	0.197717i
$489$	19.5357	+	0.328316i	0.0399503	+	0.000671404i
$490$	142.226	−	806.605i	0.290258	−	1.64613i
$491$	180.990	+	497.267i	0.368616	+	1.01276i	0.975888	+	0.218270i	$0.0700415\pi$
$491$	180.990	+	497.267i	0.368616	+	1.01276i	−0.607272	+	0.794494i	$0.707736\pi$
$492$	−1095.93	−	1351.56i	−2.22750	−	2.74708i
$493$	−13.8440	−	78.5134i	−0.0280812	−	0.159256i
$494$	−622.393	+	359.339i	−1.25990	+	0.727406i
$495$	−0.777104	−	0.0261273i	−0.00156991	−	5.27825e-5i
$496$	55.7212	−	96.5120i	0.112341	−	0.194581i
$497$	−180.886	+	496.981i	−0.363956	+	0.999962i
$498$	179.421	−	926.252i	0.360284	−	1.85994i
$499$	−371.591	−	311.802i	−0.744672	−	0.624854i	0.189416	−	0.981897i	$-0.439340\pi$
$499$	−371.591	−	311.802i	−0.744672	−	0.624854i	−0.934088	+	0.357043i	$0.883785\pi$
$500$	636.376	−	758.403i	1.27275	−	1.51681i
$501$	−236.014	−	683.992i	−0.471085	−	1.36525i
$502$	−439.201	−	159.856i	−0.874902	−	0.318438i
$503$	378.311	+	218.418i	0.752110	+	0.434231i	0.826456	−	0.563002i	$-0.190354\pi$
$503$	378.311	+	218.418i	0.752110	+	0.434231i	−0.0743458	+	0.997233i	$0.523687\pi$
$504$	−715.125	−	912.874i	−1.41890	−	1.81126i
$505$	218.686	+	378.776i	0.433042	+	0.750051i
$506$	−0.621660	+	0.109615i	−0.00122858	+	0.000216631i
$507$	44.4889	+	279.717i	0.0877493	+	0.551710i
$508$	−1552.44	+	565.042i	−3.05599	+	1.11229i
$509$	553.794	+	97.6489i	1.08800	+	0.191845i	0.688753	−	0.724997i	$-0.258159\pi$
$509$	553.794	+	97.6489i	1.08800	+	0.191845i	0.399252	+	0.916841i	$0.369270\pi$
$510$	−127.534	+	70.8014i	−0.250066	+	0.138826i
$511$	−135.765	+	113.920i	−0.265684	+	0.222935i
$512$			615.008i			1.20119i
$513$	301.979	+	589.826i	0.588654	+	1.14976i
$514$	93.5783			0.182059
$515$	72.7369	+	86.6844i	0.141237	+	0.168319i
$516$	−229.147	+	381.925i	−0.444083	+	0.740165i
$517$	0.199925	−	1.13383i	0.000386703	−	0.00219310i
$518$	−133.804	−	367.624i	−0.258309	−	0.709699i
$519$	−228.558	+	596.571i	−0.440382	+	1.14946i
$520$	−62.1482	−	352.460i	−0.119516	−	0.677807i
$521$	−457.726	+	264.268i	−0.878553	+	0.507233i	−0.870181	−	0.492732i	$-0.835998\pi$
$521$	−457.726	+	264.268i	−0.878553	+	0.507233i	−0.00837176	+	0.999965i	$0.502665\pi$
$522$	122.537	−	580.195i	0.234746	−	1.11148i
$523$	−74.1385	+	128.412i	−0.141756	+	0.245529i	−0.928158	−	0.372186i	$-0.878608\pi$
$523$	−74.1385	+	128.412i	−0.141756	+	0.245529i	0.786402	+	0.617715i	$0.211942\pi$
$524$	−369.585	+	1015.43i	−0.705316	+	1.93784i
$525$	314.713	+	273.217i	0.599453	+	0.520414i
$526$	−396.355	−	332.581i	−0.753526	−	0.632283i
$527$	28.7765	−	34.2945i	0.0546044	−	0.0650750i
$528$	0.496461	−	0.571862i	0.000940268	−	0.00108307i
$529$	−443.785	−	161.525i	−0.838914	−	0.305340i
$530$	−401.594	−	231.860i	−0.757724	−	0.437472i
$531$	144.038	+	441.355i	0.271259	+	0.831177i
$532$	−999.746	−	1731.61i	−1.87922	−	3.25491i
$533$	658.058	−	116.033i	1.23463	−	0.217699i
$534$	417.037	+	159.775i	0.780969	+	0.299205i
$535$	473.772	−	172.439i	0.885555	−	0.322316i
$536$	1245.38	+	219.593i	2.32346	+	0.409689i
$537$	−251.673	−	150.998i	−0.468665	−	0.281189i
$538$	410.486	−	344.439i	0.762985	−	0.640220i
$539$			1.70818i			0.00316917i
$540$	−702.040	+	87.5873i	−1.30007	+	0.162199i
$541$	910.124			1.68230			0.841150	−	0.540802i	$-0.181879\pi$
$541$	910.124			1.68230			0.841150	+	0.540802i	$0.181879\pi$
$542$	613.094	+	730.657i	1.13117	+	1.34808i
$543$	131.418	+	236.722i	0.242022	+	0.435951i
$544$	−9.11551	+	51.6966i	−0.0167564	+	0.0950305i
$545$	−84.3500	−	231.750i	−0.154771	−	0.425229i
$546$	942.891	−	149.967i	1.72691	−	0.274664i
$547$	−5.16304	−	29.2811i	−0.00943884	−	0.0535303i	0.979725	−	0.200349i	$-0.0642077\pi$
$547$	−5.16304	−	29.2811i	−0.00943884	−	0.0535303i	−0.989163	+	0.146819i	$0.953097\pi$
$548$	151.516	−	87.4775i	0.276488	−	0.159631i
$549$	13.4297	+	94.6654i	0.0244620	+	0.172432i
$550$	−0.535645	+	0.927764i	−0.000973899	+	0.00168684i
$551$	163.112	−	448.146i	0.296029	−	0.813333i
$552$	−253.250	+	87.3847i	−0.458786	+	0.158306i
$553$	−606.633	−	509.025i	−1.09699	−	0.920480i
$554$	−16.0558	+	19.1346i	−0.0289816	+	0.0345389i
$555$	−109.295	−	21.1711i	−0.196927	−	0.0381462i
$556$	1829.49	+	665.880i	3.29045	+	1.19763i
$557$	−624.451	−	360.527i	−1.12110	−	0.647266i	−0.179417	−	0.983773i	$-0.557421\pi$
$557$	−624.451	−	360.527i	−1.12110	−	0.647266i	−0.941681	+	0.336507i	$0.890754\pi$
$558$	293.808	−	156.710i	0.526538	−	0.280842i
$559$	−85.5192	−	148.124i	−0.152986	−	0.264980i
$560$	382.058	−	67.3672i	0.682247	−	0.120299i
$561$	0.236299	−	0.191605i	0.000421210	−	0.000341542i
$562$	1486.19	−	540.928i	2.64446	−	0.962506i
$563$	174.786	+	30.8195i	0.310455	+	0.0547416i	0.326705	−	0.945126i	$-0.394062\pi$
$563$	174.786	+	30.8195i	0.310455	+	0.0547416i	−0.0162501	+	0.999868i	$0.505173\pi$
$564$	17.6032	−	1047.44i	0.0312113	−	1.85716i
$565$	−373.647	+	313.527i	−0.661322	+	0.554915i
$566$			995.145i			1.75821i
$567$	−94.2879	−	875.229i	−0.166293	−	1.54361i
$568$	−576.960			−1.01578
$569$	−523.101	−	623.407i	−0.919334	−	1.09562i	−0.995137	−	0.0984963i	$-0.968597\pi$
$569$	−523.101	−	623.407i	−0.919334	−	1.09562i	0.0758038	−	0.997123i	$-0.475848\pi$
$570$	−872.454	−	14.6624i	−1.53062	−	0.0257236i
$571$	171.288	−	971.425i	0.299980	−	1.70127i	−0.346262	−	0.938138i	$-0.612549\pi$
$571$	171.288	−	971.425i	0.299980	−	1.70127i	0.646242	−	0.763132i	$-0.276340\pi$
$572$	0.547332	+	1.50378i	0.000956874	+	0.00262899i
$573$	160.433	+	197.855i	0.279988	+	0.345297i
$574$	495.077	+	2807.72i	0.862504	+	4.89150i
$575$	83.3828	−	48.1411i	0.145014	−	0.0837236i
$576$	−400.906	+	643.441i	−0.696018	+	1.11709i
$577$	27.9951	−	48.4889i	0.0485183	−	0.0840361i	−0.840746	−	0.541429i	$-0.817883\pi$
$577$	27.9951	−	48.4889i	0.0485183	−	0.0840361i	0.889265	+	0.457393i	$0.151217\pi$
$578$	−315.627	+	867.177i	−0.546067	+	1.50031i
$579$	6.40538	−	33.0673i	0.0110628	−	0.0571111i
$580$	390.057	+	327.297i	0.672513	+	0.564305i
$581$	−647.935	+	772.179i	−1.11521	+	1.32905i
$582$	−311.529	−	902.842i	−0.535273	−	1.55128i
$583$	0.908796	+	0.330775i	0.00155883	+	0.000567367i
$584$	−167.438	−	96.6706i	−0.286710	−	0.165532i
$585$	101.448	−	252.034i	0.173415	−	0.430827i
$586$	249.457	+	432.072i	0.425695	+	0.737325i
$587$	297.489	−	52.4554i	0.506796	−	0.0893618i	0.0855967	−	0.996330i	$-0.472720\pi$
$587$	297.489	−	52.4554i	0.506796	−	0.0893618i	0.421199	+	0.906968i	$0.361609\pi$
$588$	244.137	+	1534.97i	0.415199	+	2.61050i
$589$	251.651	−	91.5934i	0.427251	−	0.155507i
$590$	−602.068	−	106.161i	−1.02045	−	0.179934i
$591$	−914.463	+	507.671i	−1.54731	+	0.859003i
$592$	83.0604	−	69.6960i	0.140305	−	0.117730i
$593$		−	729.376i		−	1.22998i	−0.788536	−	0.614989i	$-0.789161\pi$
$593$		−	729.376i		−	1.22998i	0.788536	−	0.614989i	$-0.210839\pi$
$594$	2.16263	−	0.665788i	0.00364079	−	0.00112086i
$595$	155.847			0.261928
$596$	−806.089	−	960.659i	−1.35250	−	1.61184i
$597$	313.406	−	522.363i	0.524968	−	0.874979i
$598$	38.3013	−	217.217i	0.0640489	−	0.363239i
$599$	15.1643	+	41.6636i	0.0253160	+	0.0695552i	0.951707	−	0.307008i	$-0.0993279\pi$
$599$	15.1643	+	41.6636i	0.0253160	+	0.0695552i	−0.926391	+	0.376563i	$0.877106\pi$
$600$	−162.658	+	424.562i	−0.271097	+	0.707604i
$601$	−23.9852	−	136.027i	−0.0399089	−	0.226334i	0.958330	−	0.285665i	$-0.0922145\pi$
$601$	−23.9852	−	136.027i	−0.0399089	−	0.226334i	−0.998238	+	0.0593306i	$0.981103\pi$
$602$	631.997	−	364.883i	1.04983	−	0.606119i
$603$	714.229	+	641.418i	1.18446	+	1.06371i
$604$	−718.368	+	1244.25i	−1.18935	+	2.06002i
$605$	144.651	−	397.425i	0.239092	−	0.656901i
$606$	−961.163	−	834.431i	−1.58608	−	1.37695i
$607$	−248.818	−	208.783i	−0.409915	−	0.343959i	0.414396	−	0.910097i	$-0.363993\pi$
$607$	−248.818	−	208.783i	−0.409915	−	0.343959i	−0.824311	+	0.566137i	$0.808437\pi$
$608$	−201.846	+	240.550i	−0.331983	+	0.395642i
$609$	−415.341	+	478.422i	−0.682005	+	0.785586i
$610$	−118.313	−	43.0624i	−0.193956	−	0.0705941i
$611$	348.393	+	201.145i	0.570202	+	0.329206i
$612$	184.953	−	205.949i	0.302212	−	0.336517i
$613$	−362.626	−	628.087i	−0.591560	−	1.02461i	−0.994023	−	0.109175i	$-0.965179\pi$
$613$	−362.626	−	628.087i	−0.591560	−	1.02461i	0.402463	−	0.915436i	$-0.368154\pi$
$614$	231.543	−	40.8273i	0.377106	−	0.0664940i
$615$	757.604	+	290.253i	1.23188	+	0.471956i
$616$	−2.99267	+	1.08924i	−0.00485823	+	0.00176825i
$617$	800.412	+	141.134i	1.29726	+	0.228743i	0.779296	−	0.626657i	$-0.215577\pi$
$617$	800.412	+	141.134i	1.29726	+	0.228743i	0.517969	+	0.855399i	$0.326688\pi$
$618$	−282.385	−	169.425i	−0.456934	−	0.274150i
$619$	566.414	−	475.278i	0.915047	−	0.767816i	−0.0580253	−	0.998315i	$-0.518480\pi$
$619$	566.414	−	475.278i	0.915047	−	0.767816i	0.973072	+	0.230499i	$0.0740359\pi$
$620$			285.926i			0.461170i
$621$	−198.245	−	45.3621i	−0.319235	−	0.0730469i
$622$	−533.367			−0.857503
$623$	−306.704	−	365.515i	−0.492301	−	0.586702i
$624$	128.436	+	231.351i	0.205827	+	0.370755i
$625$	−24.6633	+	139.873i	−0.0394614	+	0.223796i
$626$	−459.520	−	1262.52i	−0.734057	−	2.01681i
$627$	1.79723	−	0.285849i	0.00286640	−	0.000455899i
$628$	−191.849	−	1088.03i	−0.305492	−	1.73253i
$629$	37.7217	−	21.7786i	0.0599709	−	0.0346242i
$630$	1075.35	+	432.847i	1.70690	+	0.687058i
$631$	−265.319	+	459.547i	−0.420475	+	0.728283i	−0.995986	−	0.0895105i	$-0.971470\pi$
$631$	−265.319	+	459.547i	−0.420475	+	0.728283i	0.575511	+	0.817794i	$0.304803\pi$
$632$	295.472	−	811.801i	0.467518	−	1.28450i
$633$	119.673	−	41.2937i	0.189057	−	0.0652349i
$634$	580.707	+	487.271i	0.915942	+	0.768567i
$635$	495.127	−	590.070i	0.779728	−	0.929244i
$636$	863.919	+	167.347i	1.35836	+	0.263125i
$637$	−560.869	−	204.140i	−0.880485	−	0.320470i
$638$	−1.41037	−	0.814280i	−0.00221062	−	0.00127630i
$639$	−371.729	−	231.612i	−0.581735	−	0.362459i
$640$	−409.710	−	709.638i	−0.640171	−	1.10881i
$641$	−550.773	+	97.1161i	−0.859240	+	0.151507i	−0.585873	−	0.810403i	$-0.699248\pi$
$641$	−550.773	+	97.1161i	−0.859240	+	0.151507i	−0.273367	+	0.961910i	$0.588137\pi$
$642$	−1139.67	+	924.110i	−1.77518	+	1.43942i
$643$	−234.831	+	85.4716i	−0.365212	+	0.132926i	−0.518106	−	0.855316i	$-0.673363\pi$
$643$	−234.831	+	85.4716i	−0.365212	+	0.132926i	0.152894	+	0.988243i	$0.451141\pi$
$644$	604.338	+	106.561i	0.938413	+	0.165468i
$645$	3.48952	−	207.636i	0.00541011	−	0.321916i
$646$	261.529	−	219.449i	0.404844	−	0.339705i
$647$			442.065i			0.683254i	0.939836	+	0.341627i	$0.110978\pi$
$647$			442.065i			0.683254i	−0.939836	+	0.341627i	$0.889022\pi$
$648$	862.042	−	423.219i	1.33031	−	0.653116i
$649$	1.27502			0.00196460
$650$	−240.611	−	286.749i	−0.370171	−	0.441153i
$651$	−355.716	−	5.97815i	−0.546415	−	0.00918303i
$652$	8.47824	−	48.0825i	0.0130034	−	0.0737461i
$653$	25.0775	+	68.8998i	0.0384035	+	0.105513i	0.957412	−	0.288724i	$-0.0932311\pi$
$653$	25.0775	+	68.8998i	0.0384035	+	0.105513i	−0.919009	+	0.394237i	$0.871009\pi$
$654$	452.036	+	557.478i	0.691187	+	0.852413i
$655$	−87.4890	−	496.175i	−0.133571	−	0.757519i
$656$	−684.314	+	395.089i	−1.04316	+	0.602270i
$657$	−69.0717	−	129.499i	−0.105132	−	0.197107i
$658$	−858.221	+	1486.48i	−1.30429	+	2.25909i
$659$	84.2063	−	231.355i	0.127779	−	0.351069i	−0.859263	−	0.511535i	$-0.829077\pi$
$659$	84.2063	−	231.355i	0.127779	−	0.351069i	0.987042	+	0.160465i	$0.0512994\pi$
$660$	−0.369501	+	1.90753i	−0.000559850	+	0.00289019i
$661$	862.561	+	723.775i	1.30493	+	1.09497i	0.989270	+	0.146099i	$0.0466717\pi$
$661$	862.561	+	723.775i	1.30493	+	1.09497i	0.315664	+	0.948871i	$0.397773\pi$
$662$	−218.400	+	260.279i	−0.329909	+	0.393170i
$663$	34.6727	+	100.485i	0.0522967	+	0.151561i
$664$	−1033.34	−	376.104i	−1.55623	−	0.566421i
$665$	807.366	+	466.133i	1.21408	+	0.700952i
$666$	320.768	−	45.5057i	0.481634	−	0.0683268i
$667$	73.1834	+	126.757i	0.109720	+	0.190041i
$668$	−1780.63	+	313.973i	−2.66562	+	0.470020i
$669$	−90.2256	−	567.279i	−0.134866	−	0.847951i
$670$	−1187.88	+	432.352i	−1.77295	+	0.645301i
$671$	0.258597	+	0.0455976i	0.000385390	+	6.79546e-5i
$672$	364.727	−	202.481i	0.542748	−	0.301311i
$673$	−658.256	+	552.342i	−0.978092	+	0.820717i	−0.983800	−	0.179267i	$-0.942627\pi$
$673$	−658.256	+	552.342i	−0.978092	+	0.820717i	0.00570856	+	0.999984i	$0.498183\pi$
$674$		−	171.062i		−	0.253802i
$675$	−275.232	+	208.244i	−0.407752	+	0.308509i
$676$	707.764			1.04699
$677$	156.767	+	186.827i	0.231561	+	0.275964i	0.869296	−	0.494293i	$-0.164573\pi$
$677$	156.767	+	186.827i	0.231561	+	0.275964i	−0.637735	+	0.770256i	$0.720128\pi$
$678$	730.294	−	1217.20i	1.07713	−	1.79528i
$679$	−177.192	+	1004.91i	−0.260961	+	1.47998i
$680$	58.1490	+	159.763i	0.0855132	+	0.234946i
$681$	83.1823	−	217.118i	0.122147	−	0.318823i
$682$	−0.158801	−	0.900604i	−0.000232846	−	0.00132053i
$683$	−228.155	+	131.725i	−0.334048	+	0.192863i	−0.657637	−	0.753335i	$-0.728444\pi$
$683$	−228.155	+	131.725i	−0.334048	+	0.192863i	0.323589	+	0.946198i	$0.395110\pi$
$684$	1574.14	−	513.728i	2.30137	−	0.751064i
$685$	−40.7865	+	70.6443i	−0.0595424	+	0.103130i
$686$	253.444	−	696.332i	0.369452	−	1.01506i
$687$	−417.403	−	362.368i	−0.607574	−	0.527464i
$688$	154.939	+	130.009i	0.225202	+	0.188967i
$689$	−217.215	+	258.867i	−0.315261	+	0.375714i
$690$	175.562	−	202.226i	0.254438	−	0.293081i
$691$	468.595	+	170.555i	0.678141	+	0.246823i	0.658049	−	0.752975i	$-0.271382\pi$
$691$	468.595	+	170.555i	0.678141	+	0.246823i	0.0200917	+	0.999798i	$0.493604\pi$
$692$	1382.54	+	798.210i	1.99789	+	1.15348i
$693$	−2.36540	−	0.499574i	−0.00341328	−	0.000720886i
$694$	−541.856	−	938.523i	−0.780773	−	1.35234i
$695$	−893.955	+	157.628i	−1.28627	+	0.226804i
$696$	−645.414	−	247.271i	−0.927319	−	0.355274i
$697$	−298.285	+	108.567i	−0.427955	+	0.155763i
$698$	−569.342	−	100.390i	−0.815676	−	0.143826i
$699$	−596.914	−	358.135i	−0.853955	−	0.512354i
$700$	797.789	−	669.424i	1.13970	−	0.956321i
$701$			341.049i			0.486518i	0.969961	+	0.243259i	$0.0782164\pi$
$701$			341.049i			0.486518i	−0.969961	+	0.243259i	$0.921784\pi$
$702$	−39.8425	+	789.649i	−0.0567556	+	1.12486i
$703$	260.557			0.370635
$704$	1.33831	+	1.59494i	0.00190101	+	0.00226554i
$705$	237.076	+	427.043i	0.336278	+	0.605735i
$706$	243.219	−	1379.36i	0.344503	−	1.95377i
$707$	465.115	+	1277.89i	0.657871	+	1.80748i
$708$	1145.74	−	182.229i	1.61827	−	0.257386i
$709$	−41.2967	−	234.205i	−0.0582464	−	0.330331i	0.941736	−	0.336354i	$-0.109194\pi$
$709$	−41.2967	−	234.205i	−0.0582464	−	0.330331i	−0.999982	+	0.00602283i	$0.998083\pi$
$710$	499.474	−	288.372i	0.703485	−	0.406157i
$711$	516.254	−	404.422i	0.726095	−	0.568807i
$712$	260.264	−	450.790i	0.365539	−	0.633132i
$713$	−28.1108	+	77.2337i	−0.0394261	+	0.108322i
$714$	−428.738	+	147.938i	−0.600473	+	0.207195i
$715$	−0.571575	−	0.479609i	−0.000799406	−	0.000670781i
$716$	−471.427	+	561.825i	−0.658418	+	0.784672i
$717$	1079.55	+	209.116i	1.50565	+	0.291654i
$718$	972.093	+	353.813i	1.35389	+	0.492776i
$719$	436.512	+	252.020i	0.607109	+	0.350515i	0.771833	−	0.635825i	$-0.219340\pi$
$719$	436.512	+	252.020i	0.607109	+	0.350515i	−0.164724	+	0.986340i	$0.552673\pi$
$720$	−10.7957	+	321.095i	−0.0149940	+	0.445965i
$721$	175.919	+	304.701i	0.243994	+	0.422609i
$722$	805.784	−	142.081i	1.11604	−	0.196789i
$723$	−350.722	+	284.386i	−0.485093	+	0.393342i
$724$	635.778	−	231.404i	0.878146	−	0.319619i
$725$	244.624	+	43.1339i	0.337413	+	0.0594950i
$726$	−20.6820	+	1230.63i	−0.0284875	+	1.69509i
$727$	−843.986	+	708.188i	−1.16092	+	0.974124i	−0.999918	−	0.0128302i	$-0.995916\pi$
$727$	−843.986	+	708.188i	−1.16092	+	0.974124i	−0.160999	+	0.986955i	$0.551471\pi$
$728$		−	1112.79i		−	1.52856i
$729$	725.298	+	73.3779i	0.994921	+	0.100656i
$730$	193.268			0.264751
$731$	52.2268	+	62.2415i	0.0714458	+	0.0851457i
$732$	238.892	+	4.01481i	0.326355	+	0.00548471i
$733$	−141.606	+	803.087i	−0.193187	+	1.09562i	0.721791	+	0.692111i	$0.243319\pi$
$733$	−141.606	+	803.087i	−0.193187	+	1.09562i	−0.914978	+	0.403505i	$0.867792\pi$
$734$	−296.233	−	813.894i	−0.403588	−	1.10885i
$735$	−456.420	−	562.885i	−0.620980	−	0.765830i
$736$	−16.7352	−	94.9100i	−0.0227380	−	0.128954i
$737$	2.28318	−	1.31820i	0.00309794	−	0.00178860i
$738$	−2359.70	−	79.3366i	−3.19743	−	0.107502i
$739$	79.7737	−	138.172i	0.107948	−	0.186972i	−0.806991	−	0.590564i	$-0.798905\pi$
$739$	79.7737	−	138.172i	0.107948	−	0.186972i	0.914939	+	0.403592i	$0.132239\pi$
$740$	−95.1468	+	261.414i	−0.128577	+	0.353262i
$741$	−120.925	+	624.268i	−0.163192	+	0.842467i
$742$	−1104.50	−	926.787i	−1.48855	−	1.24904i
$743$	784.745	−	935.223i	1.05618	−	1.25871i	0.0913599	−	0.995818i	$-0.470879\pi$
$743$	784.745	−	935.223i	1.05618	−	1.25871i	0.964825	−	0.262894i	$-0.0846769\pi$
$744$	−126.595	−	366.885i	−0.170155	−	0.493125i
$745$	549.441	+	199.980i	0.737505	+	0.268430i
$746$	−1403.52	−	810.322i	−1.88139	−	1.08622i
$747$	−514.785	−	657.136i	−0.689137	−	0.879700i
$748$	−0.380103	−	0.658358i	−0.000508160	−	0.000880158i
$749$	1543.80	−	272.214i	2.06115	−	0.363436i
$750$	−211.006	−	1326.67i	−0.281341	−	1.76889i
$751$	67.1944	−	24.4568i	0.0894732	−	0.0325656i	−0.296896	−	0.954910i	$-0.595951\pi$
$751$	67.1944	−	24.4568i	0.0894732	−	0.0325656i	0.386369	+	0.922344i	$0.373729\pi$
$752$	−468.493	−	82.6079i	−0.622995	−	0.109851i
$753$	−361.557	+	200.721i	−0.480155	+	0.266562i
$754$	435.912	−	365.774i	0.578133	−	0.485111i
$755$		−	669.880i		−	0.887259i
$756$	−2196.95	−	110.849i	−2.90602	−	0.146626i
$757$	−264.607			−0.349547			−0.174774	−	0.984609i	$-0.555919\pi$
$757$	−264.607			−0.349547			−0.174774	+	0.984609i	$0.555919\pi$
$758$	1291.41	+	1539.04i	1.70371	+	2.03040i
$759$	−0.287347	+	0.478930i	−0.000378587	+	0.000631001i
$760$	−176.605	+	1001.57i	−0.232375	+	1.31786i
$761$	−241.458	−	663.400i	−0.317290	−	0.871747i	−0.991133	−	0.132873i	$-0.957580\pi$
$761$	−241.458	−	663.400i	−0.317290	−	0.871747i	0.673843	−	0.738875i	$-0.264642\pi$
$762$	−801.981	+	2093.29i	−1.05247	+	2.74710i
$763$	−133.156	−	755.164i	−0.174516	−	0.989730i
$764$	551.250	−	318.265i	0.721532	−	0.416577i
$765$	−26.6696	+	126.276i	−0.0348623	+	0.165067i
$766$	280.595	−	486.005i	0.366312	−	0.634471i
$767$	−152.374	+	418.645i	−0.198663	+	0.545821i
$768$	1037.43	+	900.646i	1.35082	+	1.17272i
$769$	275.336	+	231.034i	0.358044	+	0.300435i	0.804011	−	0.594615i	$-0.202696\pi$
$769$	275.336	+	231.034i	0.358044	+	0.300435i	−0.445966	+	0.895050i	$0.647140\pi$
$770$	2.04634	−	2.43873i	0.00265758	−	0.00316718i
$771$	54.2787	−	62.5224i	0.0704004	−	0.0810926i
$772$	−79.0913	−	28.7869i	−0.102450	−	0.0372887i
$773$	−1274.26	−	735.696i	−1.64846	−	0.951741i	−0.977683	−	0.210085i	$-0.932626\pi$
$773$	−1274.26	−	735.696i	−1.64846	−	0.951741i	−0.670781	−	0.741656i	$-0.734041\pi$
$774$	187.498	+	574.522i	0.242246	+	0.742277i
$775$	69.7424	+	120.797i	0.0899902	+	0.155868i
$776$	−1096.27	+	193.302i	−1.41272	+	0.249101i
$777$	−323.232	−	123.837i	−0.416000	−	0.159378i
$778$	1872.01	−	681.357i	2.40619	−	0.875781i
$779$	−1869.98	−	329.729i	−2.40049	−	0.423272i
$780$	−582.164	−	349.286i	−0.746364	−	0.447802i
$781$	−0.921428	+	0.773170i	−0.00117981	+	0.000989974i
$782$			104.779i			0.133989i
$783$	−316.569	−	418.405i	−0.404303	−	0.534361i
$784$	705.810			0.900268
$785$	331.114	+	394.606i	0.421801	+	0.502683i
$786$	711.677	+	1281.94i	0.905441	+	1.63096i
$787$	94.0266	−	533.251i	0.119475	−	0.677575i	−0.864962	−	0.501837i	$-0.832658\pi$
$787$	94.0266	−	533.251i	0.119475	−	0.677575i	0.984437	−	0.175738i	$-0.0562311\pi$
$788$	893.922	+	2456.03i	1.13442	+	3.11679i
$789$	−452.107	+	71.9075i	−0.573013	+	0.0911375i
$790$	149.958	+	850.457i	0.189821	+	1.07653i
$791$	−1313.39	+	758.287i	−1.66042	+	0.958644i
$792$	−0.370442	−	2.61124i	−0.000467730	−	0.00329702i
$793$	−45.8757	+	79.4591i	−0.0578508	+	0.100201i
$794$	212.146	−	582.866i	0.267186	−	0.734088i
$795$	−387.851	+	133.829i	−0.487863	+	0.168339i
$796$	−1166.10	−	978.474i	−1.46495	−	1.22924i
$797$	462.128	−	550.743i	0.579835	−	0.691020i	−0.393783	−	0.919203i	$-0.628834\pi$
$797$	462.128	−	550.743i	0.579835	−	0.691020i	0.973618	+	0.228183i	$0.0732785\pi$
$798$	−2663.55	−	515.949i	−3.33779	−	0.646553i
$799$	−179.580	−	65.3617i	−0.224756	−	0.0818044i
$800$	−141.644	−	81.7780i	−0.177054	−	0.102222i
$801$	348.647	−	185.960i	0.435265	−	0.232159i
$802$	508.613	+	880.944i	0.634181	+	1.09843i
$803$	−0.396951	+	0.0699932i	−0.000494335	+	8.71647e-5i
$804$	1863.27	−	1510.85i	2.31750	−	1.87917i
$805$	−268.865	+	97.8589i	−0.333994	+	0.121564i
$806$	314.684	+	55.4874i	0.390427	+	0.0688429i
$807$	7.96677	−	474.044i	0.00987208	−	0.587416i
$808$	−1136.46	+	953.603i	−1.40651	+	1.18020i
$809$			397.369i			0.491186i	0.969373	+	0.245593i	$0.0789826\pi$
$809$			397.369i			0.491186i	−0.969373	+	0.245593i	$0.921017\pi$
$810$	−534.739	+	797.239i	−0.660172	+	0.984246i
$811$	635.704			0.783852			0.391926	−	0.919997i	$-0.371809\pi$
$811$	635.704			0.783852			0.391926	+	0.919997i	$0.371809\pi$
$812$	1017.65	+	1212.79i	1.25326	+	1.49358i
$813$	843.790	+	14.1807i	1.03787	+	0.0174424i
$814$	0.154505	−	0.876240i	0.000189809	−	0.00107646i
$815$	7.78587	+	21.3915i	0.00955321	+	0.0262472i
$816$	−79.1700	−	97.6372i	−0.0970220	−	0.119653i
$817$	84.3991	+	478.651i	0.103304	+	0.585864i
$818$	651.786	−	376.309i	0.796805	−	0.460036i
$819$	446.713	−	716.960i	0.545437	−	0.875409i
$820$	1013.67	−	1755.73i	1.23618	−	2.14113i
$821$	253.428	−	696.287i	0.308682	−	0.848096i	−0.684233	−	0.729264i	$-0.739863\pi$
$821$	253.428	−	696.287i	0.308682	−	0.848096i	0.992914	−	0.118832i	$-0.0379151\pi$
$822$	45.1454	−	233.060i	0.0549214	−	0.283528i
$823$	718.610	+	602.985i	0.873159	+	0.732667i	0.964761	−	0.263128i	$-0.0847543\pi$
$823$	718.610	+	602.985i	0.873159	+	0.732667i	−0.0916020	+	0.995796i	$0.529199\pi$
$824$	−246.719	+	294.029i	−0.299417	+	0.356831i
$825$	0.309174	+	0.896016i	0.000374756	+	0.00108608i
$826$	−1786.23	−	650.133i	−2.16250	−	0.787086i
$827$	−630.828	−	364.209i	−0.762790	−	0.440397i	0.0675063	−	0.997719i	$-0.478496\pi$
$827$	−630.828	−	364.209i	−0.762790	−	0.440397i	−0.830297	+	0.557322i	$0.811829\pi$
$828$	−189.761	+	471.435i	−0.229180	+	0.569366i
$829$	−54.9509	−	95.1778i	−0.0662858	−	0.114810i	0.830978	−	0.556306i	$-0.187782\pi$
$829$	−54.9509	−	95.1778i	−0.0662858	−	0.114810i	−0.897264	+	0.441495i	$0.854448\pi$
$830$	1082.54	−	190.881i	1.30427	−	0.229977i
$831$	3.47143	+	21.8261i	0.00417742	+	0.0262648i
$832$	−683.624	+	248.819i	−0.821663	+	0.299061i
$833$	279.228	+	49.2355i	0.335208	+	0.0591062i
$834$	2309.66	−	1282.22i	2.76937	−	1.53744i
$835$	645.798	−	541.889i	0.773411	−	0.648969i
$836$		−	4.54751i		−	0.00543960i
$837$	65.7165	−	287.199i	0.0785143	−	0.343129i
$838$	530.963			0.633607
$839$	377.913	+	450.379i	0.450433	+	0.536805i	0.942701	−	0.333639i	$-0.108277\pi$
$839$	377.913	+	450.379i	0.450433	+	0.536805i	−0.492268	+	0.870443i	$0.663832\pi$
$840$	695.111	−	1158.56i	0.827514	−	1.37924i
$841$	80.4666	−	456.349i	0.0956797	−	0.542626i
$842$	161.737	+	444.369i	0.192087	+	0.527754i
$843$	500.632	−	1306.72i	0.593869	−	1.55009i
$844$	−54.9337	−	311.544i	−0.0650873	−	0.369128i
$845$	−285.785	+	164.998i	−0.338207	+	0.195264i
$846$	−1057.57	−	949.759i	−1.25008	−	1.12265i
$847$	657.500	−	1138.82i	0.776269	−	1.34454i
$848$	136.674	−	375.509i	0.161172	−	0.442817i
$849$	664.886	+	577.220i	0.783140	+	0.679882i
$850$	136.218	+	114.301i	0.160257	+	0.134471i
$851$	−51.4018	+	61.2583i	−0.0604016	+	0.0719839i
$852$	−717.492	+	826.463i	−0.842127	+	0.970027i
$853$	−65.0803	−	23.6873i	−0.0762958	−	0.0277694i	0.303590	−	0.952803i	$-0.401815\pi$
$853$	−65.0803	−	23.6873i	−0.0762958	−	0.0277694i	−0.379886	+	0.925033i	$0.624037\pi$
$854$	−339.027	−	195.737i	−0.396987	−	0.229200i
$855$	−515.851	+	574.408i	−0.603334	+	0.671822i
$856$	855.071	+	1481.03i	0.998914	+	1.73017i
$857$	−1487.35	+	262.260i	−1.73553	+	0.306021i	−0.949872	−	0.312640i	$-0.898787\pi$
$857$	−1487.35	+	262.260i	−1.73553	+	0.306021i	−0.785658	+	0.618661i	$0.787675\pi$
$858$	2.02768	+	0.776845i	0.00236326	+	0.000905413i
$859$	−1429.13	+	520.161i	−1.66371	+	0.605542i	−0.990940	−	0.134307i	$-0.957119\pi$
$859$	−1429.13	+	520.161i	−1.66371	+	0.605542i	−0.672773	+	0.739849i	$0.734897\pi$
$860$	−511.046	−	90.1112i	−0.594239	−	0.104780i
$861$	2163.09	+	1297.80i	2.51229	+	1.50732i
$862$	−850.597	+	713.736i	−0.986772	+	0.828000i
$863$			397.764i			0.460909i	0.973083	+	0.230454i	$0.0740213\pi$
$863$			397.764i			0.460909i	−0.973083	+	0.230454i	$0.925979\pi$
$864$	101.647	+	330.173i	0.117647	+	0.382144i
$865$	−744.333			−0.860500
$866$	502.131	+	598.417i	0.579828	+	0.691012i
$867$	396.312	+	713.873i	0.457107	+	0.823383i
$868$	−154.376	+	875.510i	−0.177853	+	1.00865i
$869$	−0.615995	−	1.69243i	−0.000708855	−	0.00194756i
$870$	682.323	−	108.523i	0.784280	−	0.124739i
$871$	159.964	+	907.201i	0.183656	+	1.04156i
$872$	724.457	−	418.265i	0.830799	−	0.479662i
$873$	−783.914	−	315.539i	−0.897954	−	0.361442i
$874$	−313.391	+	542.809i	−0.358571	+	0.621063i
$875$	−490.879	+	1348.68i	−0.561004	+	1.54135i
$876$	−346.697	+	119.629i	−0.395773	+	0.136563i
$877$	−52.1065	−	43.7226i	−0.0594145	−	0.0498547i	0.612597	−	0.790396i	$-0.290125\pi$
$877$	−52.1065	−	43.7226i	−0.0594145	−	0.0498547i	−0.672011	+	0.740541i	$0.734569\pi$
$878$	1006.19	−	1199.13i	1.14600	−	1.36575i
$879$	433.374	+	83.9476i	0.493031	+	0.0955035i
$880$	0.829120	+	0.301775i	0.000942182	+	0.000342926i
$881$	1277.72	+	737.690i	1.45030	+	0.837332i	0.998498	−	0.0547852i	$-0.0174474\pi$
$881$	1277.72	+	737.690i	1.45030	+	0.837332i	0.451804	+	0.892117i	$0.350781\pi$
$882$	1789.94	+	1115.25i	2.02941	+	1.26446i
$883$	−501.763	−	869.079i	−0.568248	−	0.984235i	−0.996739	−	0.0806887i	$-0.974288\pi$
$883$	−501.763	−	869.079i	−0.568248	−	0.984235i	0.428491	−	0.903546i	$-0.359045\pi$
$884$	261.592	−	46.1258i	0.295919	−	0.0521785i
$885$	−420.150	+	340.682i	−0.474746	+	0.384952i
$886$	−1918.64	+	698.327i	−2.16551	+	0.788179i
$887$	−433.068	−	76.3616i	−0.488239	−	0.0860897i	−0.0758911	−	0.997116i	$-0.524180\pi$
$887$	−433.068	−	76.3616i	−0.488239	−	0.0860897i	−0.412348	+	0.911026i	$0.635291\pi$
$888$	6.34525	−	377.559i	0.00714555	−	0.425179i
$889$	1834.68	−	1539.48i	2.06375	−	1.73170i
$890$			520.331i			0.584642i
$891$	0.809568	−	1.83110i	0.000908606	−	0.00205510i
$892$	−1435.38			−1.60917
$893$	−734.819	−	875.723i	−0.822866	−	0.980653i
$894$	−1701.35	−	28.5929i	−1.90308	−	0.0319831i
$895$	59.3796	−	336.759i	0.0663459	−	0.376267i
$896$	−871.394	−	2394.13i	−0.972538	−	2.67203i
$897$	−122.913	−	151.584i	−0.137027	−	0.168990i
$898$	−267.055	−	1514.55i	−0.297389	−	1.68658i
$899$	−183.634	+	106.021i	−0.204265	+	0.117933i
$900$	405.884	+	760.972i	0.450982	+	0.845525i
$901$	80.2647	−	139.023i	0.0890840	−	0.154298i
$902$	−2.21773	+	6.09315i	−0.00245868	+	0.00675516i
$903$	122.791	−	633.901i	0.135981	−	0.701994i
$904$	−1267.39	−	1063.47i	−1.40198	−	1.17640i
$905$	−202.772	+	241.654i	−0.224057	+	0.267021i
$906$	635.883	+	1842.85i	0.701858	+	2.03405i
$907$	−147.633	−	53.7341i	−0.162771	−	0.0592437i	0.259350	−	0.965784i	$-0.416492\pi$
$907$	−147.633	−	53.7341i	−0.162771	−	0.0592437i	−0.422120	+	0.906540i	$0.638714\pi$
$908$	−503.167	−	290.504i	−0.554149	−	0.319938i
$909$	−1115.02	+	158.181i	−1.22664	+	0.174017i
$910$	556.188	+	963.345i	0.611195	+	1.05862i
$911$	654.688	−	115.439i	0.718648	−	0.126717i	0.197647	−	0.980273i	$-0.436670\pi$
$911$	654.688	−	115.439i	0.718648	−	0.126717i	0.521001	+	0.853556i	$0.325559\pi$
$912$	−118.111	−	742.604i	−0.129508	−	0.814259i
$913$	−2.15428	+	0.784095i	−0.00235957	+	0.000858812i
$914$	−271.882	−	47.9402i	−0.297464	−	0.0524510i
$915$	−97.3970	+	54.0707i	−0.106445	+	0.0590937i
$916$	−1058.11	+	887.858i	−1.15514	+	0.969277i
$917$		−	1566.53i		−	1.70832i
$918$	−46.4991	−	372.705i	−0.0506526	−	0.405997i
$919$	47.4787			0.0516635			0.0258317	−	0.999666i	$-0.491777\pi$
$919$	47.4787			0.0516635			0.0258317	+	0.999666i	$0.491777\pi$
$920$	−200.636	−	239.108i	−0.218082	−	0.259900i
$921$	107.025	−	178.382i	0.116206	−	0.193683i
$922$	−209.581	+	1188.59i	−0.227311	+	1.28914i
$923$	−143.748	−	394.943i	−0.155740	−	0.427891i
$924$	−2.16132	+	5.64138i	−0.00233910	+	0.00610539i
$925$	23.5660	+	133.650i	0.0254768	+	0.144486i
$926$	1931.69	−	1115.26i	2.08606	−	1.20438i
$927$	−276.991	+	90.3976i	−0.298804	+	0.0975163i
$928$	124.318	−	215.325i	0.133963	−	0.232031i
$929$	317.286	−	871.737i	0.341535	−	0.938360i	−0.643414	−	0.765518i	$-0.722483\pi$
$929$	317.286	−	871.737i	0.341535	−	0.938360i	0.984950	−	0.172842i	$-0.0552950\pi$
$930$	292.967	+	254.338i	0.315018	+	0.273482i
$931$	1299.28	+	1090.23i	1.39558	+	1.17103i
$932$	−1118.12	+	1332.53i	−1.19970	+	1.42975i
$933$	−309.372	+	356.358i	−0.331588	+	0.381949i
$934$	−673.387	−	245.093i	−0.720972	−	0.262412i
$935$	0.306961	+	0.177224i	0.000328300	+	0.000189544i
$936$	901.651	+	190.429i	0.963302	+	0.203450i
$937$	807.062	+	1397.87i	0.861326	+	1.49186i	0.870650	+	0.491904i	$0.163699\pi$
$937$	807.062	+	1397.87i	0.861326	+	1.49186i	−0.00932386	+	0.999957i	$0.502968\pi$
$938$	−3870.74	+	682.515i	−4.12659	+	0.727628i
$939$	−1110.06	−	425.288i	−1.18218	−	0.452916i
$940$	1146.94	−	417.451i	1.22015	−	0.444097i
$941$	829.312	+	146.230i	0.881309	+	0.155399i	0.595950	−	0.803022i	$-0.296776\pi$
$941$	829.312	+	146.230i	0.881309	+	0.155399i	0.285360	+	0.958420i	$0.407887\pi$
$942$	−1285.48	−	771.258i	−1.36463	−	0.818746i
$943$	446.426	−	374.596i	0.473410	−	0.397238i
$944$		−	526.832i		−	0.558085i
$945$	912.938	−	467.406i	0.966072	−	0.494610i
$946$	1.65973			0.00175447
$947$	525.898	+	626.741i	0.555331	+	0.661818i	0.968551	−	0.248813i	$-0.0800406\pi$
$947$	525.898	+	626.741i	0.555331	+	0.661818i	−0.413221	+	0.910631i	$0.635596\pi$
$948$	−795.419	−	1432.78i	−0.839049	−	1.51137i
$949$	24.4567	−	138.701i	0.0257710	−	0.146155i
$950$	363.809	+	999.558i	0.382957	+	1.05217i
$951$	662.391	−	105.353i	0.696521	−	0.110781i
$952$	91.7946	+	520.593i	0.0964229	+	0.546842i
$953$	−1164.92	+	672.570i	−1.22238	+	0.705739i	−0.965424	−	0.260685i	$-0.916052\pi$
$953$	−1164.92	+	672.570i	−1.22238	+	0.705739i	−0.256952	+	0.966424i	$0.582718\pi$
$954$	939.948	−	736.334i	0.985270	−	0.771839i
$955$	−148.391	+	257.021i	−0.155384	+	0.269132i
$956$	939.803	−	2582.09i	0.983058	−	2.70093i
$957$	−1.36211	+	0.470001i	−0.00142331	+	0.000491120i
$958$	2109.13	+	1769.77i	2.20159	+	1.84736i
$959$	−163.031	+	194.293i	−0.170001	+	0.202600i
$960$	−867.167	−	167.976i	−0.903299	−	0.174975i
$961$	791.155	+	287.957i	0.823263	+	0.299643i
$962$	269.243	+	155.447i	0.279878	+	0.161588i
$963$	−43.6225	+	1297.46i	−0.0452986	+	1.34731i
$964$	564.162	+	977.158i	0.585231	+	1.01365i
$965$	38.6469	−	6.81449i	0.0400486	−	0.00706164i
$966$	646.760	−	524.431i	0.669524	−	0.542890i
$967$	1447.22	−	526.745i	1.49661	−	0.544721i	0.541428	−	0.840747i	$-0.317884\pi$
$967$	1447.22	−	526.745i	1.49661	−	0.544721i	0.955180	+	0.296026i	$0.0956615\pi$
$968$	1412.76	+	249.108i	1.45947	+	0.257343i
$969$	5.07580	−	302.024i	0.00523818	−	0.311686i
$970$	852.428	−	715.272i	0.878792	−	0.737394i
$971$			3.81677i			0.00393076i	0.999998	+	0.00196538i	$0.000625600\pi$
$971$			3.81677i			0.00393076i	−0.999998	+	0.00196538i	$0.999374\pi$
$972$	465.774	−	1761.13i	0.479191	−	1.81186i
$973$	−2822.41			−2.90073
$974$	−716.121	−	853.440i	−0.735238	−	0.876222i
$975$	−331.149	−	5.56527i	−0.339640	−	0.00570797i
$976$	18.8406	−	106.850i	0.0193039	−	0.109478i
$977$	−621.172	−	1706.65i	−0.635795	−	1.74683i	−0.664548	−	0.747245i	$-0.731376\pi$
$977$	−621.172	−	1706.65i	−0.635795	−	1.74683i	0.0287534	−	0.999587i	$-0.490846\pi$
$978$	−41.7249	−	51.4577i	−0.0426635	−	0.0526152i
$979$	−0.188441	−	1.06870i	−0.000192483	−	0.00109162i
$980$	−1568.27	+	905.441i	−1.60028	+	0.923919i
$981$	634.665	+	21.3383i	0.646957	+	0.0217516i
$982$	897.138	−	1553.89i	0.913582	−	1.58237i
$983$	−39.8190	+	109.402i	−0.0405076	+	0.111294i	−0.958297	−	0.285773i	$-0.907750\pi$
$983$	−39.8190	+	109.402i	−0.0405076	+	0.111294i	0.917790	+	0.397067i	$0.129972\pi$
$984$	−523.332	+	2701.67i	−0.531842	+	2.74560i
$985$	−933.516	−	783.313i	−0.947732	−	0.795242i
$986$	−173.758	+	207.077i	−0.176225	+	0.210017i
$987$	495.365	+	1435.62i	0.501889	+	1.45452i
$988$	1493.14	+	543.459i	1.51128	+	0.550059i
$989$	−129.184	−	74.5841i	−0.130620	−	0.0754137i
$990$	1.62582	+	2.07540i	0.00164224	+	0.00209636i
$991$	−586.365	−	1015.61i	−0.591691	−	1.02484i	−0.994005	−	0.109337i	$-0.965127\pi$
$991$	−586.365	−	1015.61i	−0.591691	−	1.02484i	0.402314	−	0.915502i	$-0.368206\pi$
$992$	137.497	−	24.2444i	0.138606	−	0.0244399i
$993$	47.2203	+	296.890i	0.0475532	+	0.298983i
$994$	1685.10	−	613.325i	1.69527	−	0.617027i
$995$	698.962	+	123.246i	0.702474	+	0.123865i
$996$	−1823.78	+	1012.48i	−1.83110	+	1.01655i
$997$	−696.737	+	584.632i	−0.698834	+	0.586391i	−0.921442	−	0.388517i	$-0.872987\pi$
$997$	−696.737	+	584.632i	−0.698834	+	0.586391i	0.222608	+	0.974908i	$0.428543\pi$
$998$			1644.74i			1.64803i
$999$	155.653	−	240.710i	0.155809	−	0.240951i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	27.3.f.a.5.1	✓	30
3.2	odd	2		81.3.f.a.44.5		30
4.3	odd	2		432.3.bc.a.113.5		30
9.2	odd	6		243.3.f.a.53.5		30
9.4	even	3		243.3.f.c.215.5		30
9.5	odd	6		243.3.f.b.215.1		30
9.7	even	3		243.3.f.d.53.1		30
27.2	odd	18		243.3.f.d.188.1		30
27.4	even	9		729.3.b.a.728.3		30
27.7	even	9		243.3.f.b.26.1		30
27.11	odd	18	inner	27.3.f.a.11.1	yes	30
27.16	even	9		81.3.f.a.35.5		30
27.20	odd	18		243.3.f.c.26.5		30
27.23	odd	18		729.3.b.a.728.28		30
27.25	even	9		243.3.f.a.188.5		30
108.11	even	18		432.3.bc.a.65.5		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
27.3.f.a.5.1	✓	30	1.1	even	1	trivial
27.3.f.a.11.1	yes	30	27.11	odd	18	inner
81.3.f.a.35.5		30	27.16	even	9
81.3.f.a.44.5		30	3.2	odd	2
243.3.f.a.53.5		30	9.2	odd	6
243.3.f.a.188.5		30	27.25	even	9
243.3.f.b.26.1		30	27.7	even	9
243.3.f.b.215.1		30	9.5	odd	6
243.3.f.c.26.5		30	27.20	odd	18
243.3.f.c.215.5		30	9.4	even	3
243.3.f.d.53.1		30	9.7	even	3
243.3.f.d.188.1		30	27.2	odd	18
432.3.bc.a.65.5		30	108.11	even	18
432.3.bc.a.113.5		30	4.3	odd	2
729.3.b.a.728.3		30	27.4	even	9
729.3.b.a.728.28		30	27.23	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:	\( N \)	\(=\)	\( 27 = 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	27.f (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.17948 - 2.59740i) q^{2} +(-2.99958 - 0.0504108i) q^{3} +(-1.30178 + 7.38274i) q^{4} +(-1.19547 - 3.28452i) q^{5} +(6.40658 + 7.90098i) q^{6} +(-1.88718 - 10.7027i) q^{7} +(10.2675 - 5.92795i) q^{8} +(8.99492 + 0.302422i) q^{9} +O(q^{10})\)	\(q+(-2.17948 - 2.59740i) q^{2} +(-2.99958 - 0.0504108i) q^{3} +(-1.30178 + 7.38274i) q^{4} +(-1.19547 - 3.28452i) q^{5} +(6.40658 + 7.90098i) q^{6} +(-1.88718 - 10.7027i) q^{7} +(10.2675 - 5.92795i) q^{8} +(8.99492 + 0.302422i) q^{9} +(-5.92572 + 10.2637i) q^{10} +(0.00845372 - 0.0232264i) q^{11} +(4.27695 - 22.0795i) q^{12} +(6.61594 + 5.55143i) q^{13} +(-23.6862 + 28.2281i) q^{14} +(3.42032 + 9.91243i) q^{15} +(-9.59700 - 3.49302i) q^{16} +(-3.55304 - 2.05135i) q^{17} +(-18.8187 - 24.0225i) q^{18} +(-12.2710 - 21.2541i) q^{19} +(25.8050 - 4.55011i) q^{20} +(5.12120 + 32.1987i) q^{21} +(-0.0787530 + 0.0286637i) q^{22} +(7.41774 + 1.30795i) q^{23} +(-31.0970 + 17.2637i) q^{24} +(9.79218 - 8.21662i) q^{25} -29.2835i q^{26} +(-26.9657 - 1.36058i) q^{27} +81.4720 q^{28} +(12.4908 + 14.8859i) q^{29} +(18.2921 - 30.4879i) q^{30} +(-1.89483 + 10.7461i) q^{31} +(-4.37615 - 12.0234i) q^{32} +(-0.0265284 + 0.0692432i) q^{33} +(2.41560 + 13.6996i) q^{34} +(-32.8972 + 18.9932i) q^{35} +(-13.9421 + 66.0134i) q^{36} +(-5.30836 + 9.19435i) q^{37} +(-28.4609 + 78.1956i) q^{38} +(-19.5652 - 16.9855i) q^{39} +(-31.7449 - 26.6372i) q^{40} +(49.7328 - 59.2692i) q^{41} +(72.4715 - 83.4783i) q^{42} +(-18.6098 - 6.77342i) q^{43} +(0.160469 + 0.0926471i) q^{44} +(-9.75982 - 29.9055i) q^{45} +(-12.7695 - 22.1175i) q^{46} +(45.8726 - 8.08857i) q^{47} +(28.6108 + 10.9614i) q^{48} +(-64.9417 + 23.6369i) q^{49} +(-42.6837 - 7.52629i) q^{50} +(10.5542 + 6.33230i) q^{51} +(-49.5972 + 41.6170i) q^{52} +39.1277i q^{53} +(55.2372 + 73.0061i) q^{54} -0.0863937 q^{55} +(-82.8218 - 98.7032i) q^{56} +(35.7365 + 64.3718i) q^{57} +(11.4414 - 64.8872i) q^{58} +(17.6431 + 48.4740i) q^{59} +(-77.6334 + 12.3476i) q^{60} +(1.84478 + 10.4623i) q^{61} +(32.0418 - 18.4993i) q^{62} +(-13.7383 - 96.8408i) q^{63} +(-42.1176 + 72.9499i) q^{64} +(10.3246 - 28.3667i) q^{65} +(0.237671 - 0.0820091i) q^{66} +(81.7087 + 68.5618i) q^{67} +(19.7698 - 23.5608i) q^{68} +(-22.1841 - 4.29722i) q^{69} +(121.032 + 44.0520i) q^{70} +(-42.1446 - 24.3322i) q^{71} +(94.1482 - 50.2163i) q^{72} +(-8.15380 - 14.1228i) q^{73} +(35.4509 - 6.25095i) q^{74} +(-29.7866 + 24.1527i) q^{75} +(172.887 - 62.9258i) q^{76} +(-0.264539 - 0.0466454i) q^{77} +(-1.47620 + 87.8380i) q^{78} +(55.8192 - 46.8378i) q^{79} +35.6973i q^{80} +(80.8171 + 5.44052i) q^{81} -262.338 q^{82} +(-59.6196 - 71.0518i) q^{83} +(-244.382 - 4.10707i) q^{84} +(-2.49015 + 14.1224i) q^{85} +(22.9664 + 63.0997i) q^{86} +(-36.7167 - 45.2812i) q^{87} +(-0.0508863 - 0.288590i) q^{88} +(38.0224 - 21.9522i) q^{89} +(-56.4053 + 90.5286i) q^{90} +(46.9299 - 81.2850i) q^{91} +(-19.3125 + 53.0606i) q^{92} +(6.22542 - 32.1384i) q^{93} +(-120.988 - 101.521i) q^{94} +(-55.1398 + 65.7130i) q^{95} +(12.5205 + 36.2856i) q^{96} +(-88.2304 - 32.1132i) q^{97} +(202.934 + 117.164i) q^{98} +(0.0830646 - 0.206363i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 15 q^{5} - 18 q^{6} - 6 q^{7} - 9 q^{8}+O(q^{10}) \) 30 * q - 6 * q^2 - 6 * q^3 - 6 * q^4 - 15 * q^5 - 18 * q^6 - 6 * q^7 - 9 * q^8	\( 30 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 15 q^{5} - 18 q^{6} - 6 q^{7} - 9 q^{8} - 3 q^{10} - 6 q^{11} - 15 q^{12} - 6 q^{13} - 15 q^{14} - 9 q^{15} - 18 q^{16} - 9 q^{17} + 63 q^{18} - 3 q^{19} + 213 q^{20} + 132 q^{21} - 42 q^{22} + 120 q^{23} + 144 q^{24} - 15 q^{25} - 90 q^{27} - 12 q^{28} - 168 q^{29} - 243 q^{30} + 39 q^{31} - 360 q^{32} - 207 q^{33} + 54 q^{34} - 252 q^{35} - 360 q^{36} - 3 q^{37} - 84 q^{38} + 15 q^{39} - 33 q^{40} + 228 q^{41} + 486 q^{42} - 96 q^{43} + 639 q^{44} + 477 q^{45} - 3 q^{46} + 399 q^{47} + 453 q^{48} - 78 q^{49} + 303 q^{50} + 36 q^{51} - 9 q^{52} - 54 q^{54} - 12 q^{55} - 393 q^{56} - 192 q^{57} + 129 q^{58} - 474 q^{59} - 846 q^{60} + 138 q^{61} - 900 q^{62} - 585 q^{63} - 51 q^{64} - 411 q^{65} - 423 q^{66} + 354 q^{67} + 99 q^{68} + 99 q^{69} + 489 q^{70} + 315 q^{71} + 720 q^{72} - 66 q^{73} + 321 q^{74} + 255 q^{75} + 258 q^{76} + 201 q^{77} + 180 q^{78} + 30 q^{79} + 36 q^{81} - 12 q^{82} - 33 q^{83} - 588 q^{84} - 261 q^{85} - 258 q^{86} - 279 q^{87} - 642 q^{88} + 72 q^{89} + 288 q^{90} + 96 q^{91} - 3 q^{92} + 591 q^{93} - 861 q^{94} + 681 q^{95} + 270 q^{96} - 582 q^{97} + 882 q^{98} + 513 q^{99}+O(q^{100}) \) 30 * q - 6 * q^2 - 6 * q^3 - 6 * q^4 - 15 * q^5 - 18 * q^6 - 6 * q^7 - 9 * q^8 - 3 * q^10 - 6 * q^11 - 15 * q^12 - 6 * q^13 - 15 * q^14 - 9 * q^15 - 18 * q^16 - 9 * q^17 + 63 * q^18 - 3 * q^19 + 213 * q^20 + 132 * q^21 - 42 * q^22 + 120 * q^23 + 144 * q^24 - 15 * q^25 - 90 * q^27 - 12 * q^28 - 168 * q^29 - 243 * q^30 + 39 * q^31 - 360 * q^32 - 207 * q^33 + 54 * q^34 - 252 * q^35 - 360 * q^36 - 3 * q^37 - 84 * q^38 + 15 * q^39 - 33 * q^40 + 228 * q^41 + 486 * q^42 - 96 * q^43 + 639 * q^44 + 477 * q^45 - 3 * q^46 + 399 * q^47 + 453 * q^48 - 78 * q^49 + 303 * q^50 + 36 * q^51 - 9 * q^52 - 54 * q^54 - 12 * q^55 - 393 * q^56 - 192 * q^57 + 129 * q^58 - 474 * q^59 - 846 * q^60 + 138 * q^61 - 900 * q^62 - 585 * q^63 - 51 * q^64 - 411 * q^65 - 423 * q^66 + 354 * q^67 + 99 * q^68 + 99 * q^69 + 489 * q^70 + 315 * q^71 + 720 * q^72 - 66 * q^73 + 321 * q^74 + 255 * q^75 + 258 * q^76 + 201 * q^77 + 180 * q^78 + 30 * q^79 + 36 * q^81 - 12 * q^82 - 33 * q^83 - 588 * q^84 - 261 * q^85 - 258 * q^86 - 279 * q^87 - 642 * q^88 + 72 * q^89 + 288 * q^90 + 96 * q^91 - 3 * q^92 + 591 * q^93 - 861 * q^94 + 681 * q^95 + 270 * q^96 - 582 * q^97 + 882 * q^98 + 513 * q^99

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