LMFDB - Embedded newform 190.2.k.b.161.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [190,2,Mod(61,190)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(190, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("190.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 190 = 2 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	190.k (of order $9$, 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:	$1.51715763840$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} + 12x^{10} + 105x^{8} + 394x^{6} + 1077x^{4} + 1443x^{2} + 1369 $ x^12 + 12x^10 + 105x^8 + 394x^6 + 1077x^4 + 1443*x^2 + 1369
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			161.2
Root			$-0.838929 + 1.45307i$ of defining polynomial
Character	$\chi$	$=$	190.161
Dual form			190.2.k.b.131.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 - 0.984808i) q^{2} +(1.28531 - 1.07851i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(-1.28531 - 1.07851i) q^{6} +(1.23774 - 2.14383i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.0320889 + 0.181985i) q^{9} +O(q^{10})$	\(q+(-0.173648 - 0.984808i) q^{2} +(1.28531 - 1.07851i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(-1.28531 - 1.07851i) q^{6} +(1.23774 - 2.14383i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.0320889 + 0.181985i) q^{9} +(0.173648 - 0.984808i) q^{10} +(-1.45059 - 2.51250i) q^{11} +(-0.838929 + 1.45307i) q^{12} +(0.993308 + 0.833484i) q^{13} +(-2.32619 - 0.846665i) q^{14} +(1.57667 - 0.573861i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.215843 + 1.22411i) q^{17} +0.184793 q^{18} +(-4.22186 + 1.08440i) q^{19} -1.00000 q^{20} +(-0.721249 - 4.09041i) q^{21} +(-2.22244 + 1.86485i) q^{22} +(-2.06330 + 0.750979i) q^{23} +(1.57667 + 0.573861i) q^{24} +(0.766044 + 0.642788i) q^{25} +(0.648336 - 1.12295i) q^{26} +(2.67181 + 4.62772i) q^{27} +(-0.429863 + 2.43788i) q^{28} +(-1.12586 + 6.38509i) q^{29} +(-0.838929 - 1.45307i) q^{30} +(3.04442 - 5.27310i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-4.57422 - 1.66488i) q^{33} +(1.16803 - 0.425128i) q^{34} +(1.89633 - 1.59121i) q^{35} +(-0.0320889 - 0.181985i) q^{36} +1.44520 q^{37} +(1.80104 + 3.96942i) q^{38} +2.17563 q^{39} +(0.173648 + 0.984808i) q^{40} +(1.82601 - 1.53221i) q^{41} +(-3.90302 + 1.42058i) q^{42} +(8.64591 + 3.14685i) q^{43} +(2.22244 + 1.86485i) q^{44} +(-0.0923963 + 0.160035i) q^{45} +(1.09786 + 1.90155i) q^{46} +(-1.93233 + 10.9588i) q^{47} +(0.291357 - 1.65237i) q^{48} +(0.435991 + 0.755158i) q^{49} +(0.500000 - 0.866025i) q^{50} +(1.59763 + 1.34057i) q^{51} +(-1.21847 - 0.443488i) q^{52} +(-11.3107 + 4.11677i) q^{53} +(4.09346 - 3.43482i) q^{54} +(-0.503786 - 2.85711i) q^{55} +2.47548 q^{56} +(-4.25688 + 5.94709i) q^{57} +6.48359 q^{58} +(-0.351292 - 1.99228i) q^{59} +(-1.28531 + 1.07851i) q^{60} +(1.25853 - 0.458067i) q^{61} +(-5.72164 - 2.08251i) q^{62} +(0.350428 + 0.294044i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.648336 + 1.12295i) q^{65} +(-0.845282 + 4.79383i) q^{66} +(0.584560 - 3.31520i) q^{67} +(-0.621495 - 1.07646i) q^{68} +(-1.84205 + 3.19052i) q^{69} +(-1.89633 - 1.59121i) q^{70} +(-14.2805 - 5.19768i) q^{71} +(-0.173648 + 0.0632028i) q^{72} +(0.429457 - 0.360357i) q^{73} +(-0.250956 - 1.42324i) q^{74} +1.67786 q^{75} +(3.59636 - 2.46296i) q^{76} -7.18185 q^{77} +(-0.377794 - 2.14258i) q^{78} +(4.96611 - 4.16706i) q^{79} +(0.939693 - 0.342020i) q^{80} +(7.90420 + 2.87689i) q^{81} +(-1.82601 - 1.53221i) q^{82} +(4.22735 - 7.32198i) q^{83} +(2.07675 + 3.59705i) q^{84} +(-0.215843 + 1.22411i) q^{85} +(1.59770 - 9.06100i) q^{86} +(5.43927 + 9.42109i) q^{87} +(1.45059 - 2.51250i) q^{88} +(-9.11595 - 7.64919i) q^{89} +(0.173648 + 0.0632028i) q^{90} +(3.01631 - 1.09785i) q^{91} +(1.68202 - 1.41138i) q^{92} +(-1.77403 - 10.0610i) q^{93} +11.1279 q^{94} +(-4.33813 - 0.424962i) q^{95} -1.67786 q^{96} +(-0.469830 - 2.66454i) q^{97} +(0.667976 - 0.560499i) q^{98} +(0.503786 - 0.183363i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{7} + 6 q^{8} + 18 q^{9}+O(q^{10}) $ 12 * q + 6 * q^7 + 6 * q^8 + 18 * q^9	$ 12 q + 6 q^{7} + 6 q^{8} + 18 q^{9} + 6 q^{11} + 6 q^{13} - 18 q^{17} - 12 q^{18} - 12 q^{20} + 12 q^{21} - 6 q^{22} - 30 q^{23} - 6 q^{29} + 6 q^{31} - 24 q^{33} + 18 q^{36} + 36 q^{37} + 18 q^{38} - 36 q^{39} - 6 q^{41} - 30 q^{42} + 6 q^{44} + 6 q^{45} - 12 q^{46} - 6 q^{47} - 18 q^{49} + 6 q^{50} - 12 q^{52} - 12 q^{53} + 12 q^{55} + 12 q^{56} - 18 q^{57} - 36 q^{58} - 24 q^{59} - 30 q^{61} - 6 q^{62} + 18 q^{63} - 6 q^{64} + 24 q^{66} + 12 q^{67} + 12 q^{68} + 6 q^{69} - 42 q^{71} + 6 q^{73} + 6 q^{74} + 18 q^{76} - 24 q^{77} + 48 q^{78} + 60 q^{79} + 18 q^{81} + 6 q^{82} + 24 q^{83} - 24 q^{84} + 18 q^{85} - 36 q^{86} + 54 q^{87} - 6 q^{88} - 12 q^{89} + 24 q^{91} + 24 q^{92} + 6 q^{93} + 60 q^{94} + 30 q^{97} + 36 q^{98} - 12 q^{99}+O(q^{100}) $ 12 * q + 6 * q^7 + 6 * q^8 + 18 * q^9 + 6 * q^11 + 6 * q^13 - 18 * q^17 - 12 * q^18 - 12 * q^20 + 12 * q^21 - 6 * q^22 - 30 * q^23 - 6 * q^29 + 6 * q^31 - 24 * q^33 + 18 * q^36 + 36 * q^37 + 18 * q^38 - 36 * q^39 - 6 * q^41 - 30 * q^42 + 6 * q^44 + 6 * q^45 - 12 * q^46 - 6 * q^47 - 18 * q^49 + 6 * q^50 - 12 * q^52 - 12 * q^53 + 12 * q^55 + 12 * q^56 - 18 * q^57 - 36 * q^58 - 24 * q^59 - 30 * q^61 - 6 * q^62 + 18 * q^63 - 6 * q^64 + 24 * q^66 + 12 * q^67 + 12 * q^68 + 6 * q^69 - 42 * q^71 + 6 * q^73 + 6 * q^74 + 18 * q^76 - 24 * q^77 + 48 * q^78 + 60 * q^79 + 18 * q^81 + 6 * q^82 + 24 * q^83 - 24 * q^84 + 18 * q^85 - 36 * q^86 + 54 * q^87 - 6 * q^88 - 12 * q^89 + 24 * q^91 + 24 * q^92 + 6 * q^93 + 60 * q^94 + 30 * q^97 + 36 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/190\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

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 $

$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$3$	1.28531	−	1.07851i	0.742076	−	0.622676i	−0.191318	−	0.981528i	$-0.561276\pi$
$3$	1.28531	−	1.07851i	0.742076	−	0.622676i	0.933394	+	0.358852i	$0.116832\pi$
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	0.939693	+	0.342020i	0.420243	+	0.152956i
$5$	0.939693	+	0.342020i	0.420243	+	0.152956i
$6$	−1.28531	−	1.07851i	−0.524727	−	0.440298i
$7$	1.23774	−	2.14383i	0.467822	−	0.810292i	−0.531502	−	0.847057i	$-0.678372\pi$
$7$	1.23774	−	2.14383i	0.467822	−	0.810292i	0.999324	+	0.0367651i	$0.0117053\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−0.0320889	+	0.181985i	−0.0106963	+	0.0606617i
$10$	0.173648	−	0.984808i	0.0549124	−	0.311424i
$11$	−1.45059	−	2.51250i	−0.437371	−	0.757548i	0.560115	−	0.828415i	$-0.310757\pi$
$11$	−1.45059	−	2.51250i	−0.437371	−	0.757548i	−0.997486	+	0.0708665i	$0.977424\pi$
$12$	−0.838929	+	1.45307i	−0.242178	+	0.419465i
$13$	0.993308	+	0.833484i	0.275494	+	0.231167i	0.770057	−	0.637975i	$-0.220228\pi$
$13$	0.993308	+	0.833484i	0.275494	+	0.231167i	−0.494563	+	0.869142i	$0.664672\pi$
$14$	−2.32619	−	0.846665i	−0.621701	−	0.226281i
$15$	1.57667	−	0.573861i	0.407095	−	0.148170i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	0.215843	+	1.22411i	0.0523496	+	0.296889i	0.999730	−	0.0232194i	$-0.00739164\pi$
$17$	0.215843	+	1.22411i	0.0523496	+	0.296889i	−0.947381	+	0.320109i	$0.896281\pi$
$18$	0.184793			0.0435560
$19$	−4.22186	+	1.08440i	−0.968561	+	0.248777i
$19$	−4.22186	+	1.08440i	−0.968561	+	0.248777i
$20$	−1.00000			−0.223607
$21$	−0.721249	−	4.09041i	−0.157390	−	0.892600i
$22$	−2.22244	+	1.86485i	−0.473826	+	0.397587i
$23$	−2.06330	+	0.750979i	−0.430227	+	0.156590i	−0.548052	−	0.836445i	$-0.684630\pi$
$23$	−2.06330	+	0.750979i	−0.430227	+	0.156590i	0.117824	+	0.993034i	$0.462408\pi$
$24$	1.57667	+	0.573861i	0.321837	+	0.117139i
$25$	0.766044	+	0.642788i	0.153209	+	0.128558i
$26$	0.648336	−	1.12295i	0.127149	−	0.220229i
$27$	2.67181	+	4.62772i	0.514191	+	0.890605i
$28$	−0.429863	+	2.43788i	−0.0812365	+	0.460715i
$29$	−1.12586	+	6.38509i	−0.209068	+	1.18568i	0.681842	+	0.731500i	$0.261179\pi$
$29$	−1.12586	+	6.38509i	−0.209068	+	1.18568i	−0.890909	+	0.454181i	$0.849932\pi$
$30$	−0.838929	−	1.45307i	−0.153167	−	0.265293i
$31$	3.04442	−	5.27310i	0.546795	−	0.947076i	−0.451697	−	0.892171i	$-0.649181\pi$
$31$	3.04442	−	5.27310i	0.546795	−	0.947076i	0.998492	−	0.0549047i	$-0.0174855\pi$
$32$	−0.766044	−	0.642788i	−0.135419	−	0.113630i
$33$	−4.57422	−	1.66488i	−0.796270	−	0.289818i
$34$	1.16803	−	0.425128i	0.200315	−	0.0729088i
$35$	1.89633	−	1.59121i	0.320538	−	0.268964i
$36$	−0.0320889	−	0.181985i	−0.00534815	−	0.0303309i
$37$	1.44520			0.237589			0.118794	−	0.992919i	$-0.462097\pi$
$37$	1.44520			0.237589			0.118794	+	0.992919i	$0.462097\pi$
$38$	1.80104	+	3.96942i	0.292167	+	0.643924i
$39$	2.17563			0.348380
$40$	0.173648	+	0.984808i	0.0274562	+	0.155712i
$41$	1.82601	−	1.53221i	0.285175	−	0.239290i	−0.488967	−	0.872302i	$-0.662626\pi$
$41$	1.82601	−	1.53221i	0.285175	−	0.239290i	0.774142	+	0.633012i	$0.218182\pi$
$42$	−3.90302	+	1.42058i	−0.602249	+	0.219201i
$43$	8.64591	+	3.14685i	1.31849	+	0.479891i	0.902974	−	0.429696i	$-0.141379\pi$
$43$	8.64591	+	3.14685i	1.31849	+	0.479891i	0.415515	+	0.909586i	$0.363601\pi$
$44$	2.22244	+	1.86485i	0.335045	+	0.281136i
$45$	−0.0923963	+	0.160035i	−0.0137736	+	0.0238566i
$46$	1.09786	+	1.90155i	0.161870	+	0.280368i
$47$	−1.93233	+	10.9588i	−0.281860	+	1.59851i	0.434431	+	0.900705i	$0.356950\pi$
$47$	−1.93233	+	10.9588i	−0.281860	+	1.59851i	−0.716291	+	0.697802i	$0.754162\pi$
$48$	0.291357	−	1.65237i	0.0420538	−	0.238499i
$49$	0.435991	+	0.755158i	0.0622844	+	0.107880i
$50$	0.500000	−	0.866025i	0.0707107	−	0.122474i
$51$	1.59763	+	1.34057i	0.223713	+	0.187718i
$52$	−1.21847	−	0.443488i	−0.168972	−	0.0615007i
$53$	−11.3107	+	4.11677i	−1.55365	+	0.565482i	−0.969270	−	0.245999i	$-0.920884\pi$
$53$	−11.3107	+	4.11677i	−1.55365	+	0.565482i	−0.584379	+	0.811481i	$0.698662\pi$
$54$	4.09346	−	3.43482i	0.557049	−	0.467420i
$55$	−0.503786	−	2.85711i	−0.0679305	−	0.385253i
$56$	2.47548			0.330800
$57$	−4.25688	+	5.94709i	−0.563838	+	0.787711i
$58$	6.48359			0.851337
$59$	−0.351292	−	1.99228i	−0.0457343	−	0.259372i	0.953364	−	0.301822i	$-0.0975948\pi$
$59$	−0.351292	−	1.99228i	−0.0457343	−	0.259372i	−0.999099	+	0.0424499i	$0.986484\pi$
$60$	−1.28531	+	1.07851i	−0.165933	+	0.139235i
$61$	1.25853	−	0.458067i	0.161138	−	0.0586494i	−0.260192	−	0.965557i	$-0.583786\pi$
$61$	1.25853	−	0.458067i	0.161138	−	0.0586494i	0.421330	+	0.906908i	$0.361564\pi$
$62$	−5.72164	−	2.08251i	−0.726650	−	0.264479i
$63$	0.350428	+	0.294044i	0.0441497	+	0.0370460i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	0.648336	+	1.12295i	0.0804161	+	0.139285i
$66$	−0.845282	+	4.79383i	−0.104047	+	0.590080i
$67$	0.584560	−	3.31520i	0.0714153	−	0.405016i	−0.928054	−	0.372445i	$-0.878519\pi$
$67$	0.584560	−	3.31520i	0.0714153	−	0.405016i	0.999469	−	0.0325710i	$-0.0103695\pi$
$68$	−0.621495	−	1.07646i	−0.0753673	−	0.130540i
$69$	−1.84205	+	3.19052i	−0.221757	+	0.384094i
$70$	−1.89633	−	1.59121i	−0.226655	−	0.190186i
$71$	−14.2805	−	5.19768i	−1.69478	−	0.616851i	−0.699569	−	0.714565i	$-0.746625\pi$
$71$	−14.2805	−	5.19768i	−1.69478	−	0.616851i	−0.995215	+	0.0977142i	$0.968847\pi$
$72$	−0.173648	+	0.0632028i	−0.0204646	+	0.00744852i
$73$	0.429457	−	0.360357i	0.0502641	−	0.0421766i	−0.617310	−	0.786720i	$-0.711777\pi$
$73$	0.429457	−	0.360357i	0.0502641	−	0.0421766i	0.667574	+	0.744544i	$0.267333\pi$
$74$	−0.250956	−	1.42324i	−0.0291730	−	0.165448i
$75$	1.67786			0.193742
$76$	3.59636	−	2.46296i	0.412531	−	0.282521i
$77$	−7.18185			−0.818447
$78$	−0.377794	−	2.14258i	−0.0427768	−	0.242599i
$79$	4.96611	−	4.16706i	0.558731	−	0.468831i	−0.319154	−	0.947703i	$-0.603399\pi$
$79$	4.96611	−	4.16706i	0.558731	−	0.468831i	0.877885	+	0.478872i	$0.158954\pi$
$80$	0.939693	−	0.342020i	0.105061	−	0.0382390i
$81$	7.90420	+	2.87689i	0.878244	+	0.319655i
$82$	−1.82601	−	1.53221i	−0.201649	−	0.169204i
$83$	4.22735	−	7.32198i	0.464012	−	0.803692i	−0.535145	−	0.844760i	$-0.679743\pi$
$83$	4.22735	−	7.32198i	0.464012	−	0.803692i	0.999156	+	0.0410686i	$0.0130762\pi$
$84$	2.07675	+	3.59705i	0.226593	+	0.392470i
$85$	−0.215843	+	1.22411i	−0.0234115	+	0.132773i
$86$	1.59770	−	9.06100i	0.172284	−	0.977073i
$87$	5.43927	+	9.42109i	0.583151	+	1.01005i
$88$	1.45059	−	2.51250i	0.154634	−	0.267834i
$89$	−9.11595	−	7.64919i	−0.966289	−	0.810812i	0.0156760	−	0.999877i	$-0.495010\pi$
$89$	−9.11595	−	7.64919i	−0.966289	−	0.810812i	−0.981965	+	0.189065i	$0.939454\pi$
$90$	0.173648	+	0.0632028i	0.0183041	+	0.00666216i
$91$	3.01631	−	1.09785i	0.316195	−	0.115086i
$92$	1.68202	−	1.41138i	0.175362	−	0.147146i
$93$	−1.77403	−	10.0610i	−0.183958	−	1.04328i
$94$	11.1279			1.14775
$95$	−4.33813	−	0.424962i	−0.445083	−	0.0436002i
$96$	−1.67786			−0.171246
$97$	−0.469830	−	2.66454i	−0.0477040	−	0.270543i	0.951621	−	0.307274i	$-0.0994167\pi$
$97$	−0.469830	−	2.66454i	−0.0477040	−	0.270543i	−0.999325	+	0.0367308i	$0.988306\pi$
$98$	0.667976	−	0.560499i	0.0674758	−	0.0566189i
$99$	0.503786	−	0.183363i	0.0506324	−	0.0184287i
$100$	−0.939693	−	0.342020i	−0.0939693	−	0.0342020i
$101$	0.0902852	+	0.0757583i	0.00898372	+	0.00753823i	0.647268	−	0.762262i	$-0.275911\pi$
$101$	0.0902852	+	0.0757583i	0.00898372	+	0.00753823i	−0.638285	+	0.769800i	$0.720356\pi$
$102$	1.04278	−	1.80615i	0.103251	−	0.178835i
$103$	−0.870691	−	1.50808i	−0.0857918	−	0.148596i	0.819937	−	0.572454i	$-0.194009\pi$
$103$	−0.870691	−	1.50808i	−0.0857918	−	0.148596i	−0.905728	+	0.423859i	$0.860675\pi$
$104$	−0.225165	+	1.27697i	−0.0220792	+	0.125217i
$105$	0.721249	−	4.09041i	0.0703867	−	0.399183i
$106$	6.01832	+	10.4240i	0.584551	+	1.01247i
$107$	8.35318	−	14.4681i	0.807533	−	1.39869i	−0.107035	−	0.994255i	$-0.534136\pi$
$107$	8.35318	−	14.4681i	0.807533	−	1.39869i	0.914568	−	0.404432i	$-0.132531\pi$
$108$	−4.09346	−	3.43482i	−0.393893	−	0.330516i
$109$	−19.0267	−	6.92515i	−1.82243	−	0.663309i	−0.994778	−	0.102063i	$-0.967456\pi$
$109$	−19.0267	−	6.92515i	−1.82243	−	0.663309i	−0.827649	−	0.561246i	$-0.810322\pi$
$110$	−2.72623	+	0.992265i	−0.259935	+	0.0946088i
$111$	1.85753	−	1.55865i	0.176309	−	0.147941i
$112$	−0.429863	−	2.43788i	−0.0406183	−	0.230358i
$113$	−16.5448			−1.55641			−0.778204	−	0.628012i	$-0.783869\pi$
$113$	−16.5448			−1.55641			−0.778204	+	0.628012i	$0.783869\pi$
$114$	6.59594	+	3.15951i	0.617766	+	0.295915i
$115$	−2.19572			−0.204752
$116$	−1.12586	−	6.38509i	−0.104534	−	0.592840i
$117$	−0.183556	+	0.154022i	−0.0169697	+	0.0142393i
$118$	−1.90101	+	0.691910i	−0.175002	+	0.0636955i
$119$	2.89144	+	1.05240i	0.265057	+	0.0964730i
$120$	1.28531	+	1.07851i	0.117333	+	0.0984537i
$121$	1.29155	−	2.23703i	0.117414	−	0.203366i
$122$	−0.669649	−	1.15987i	−0.0606272	−	0.105009i
$123$	0.694505	−	3.93873i	0.0626214	−	0.355143i
$124$	−1.05732	+	5.99634i	−0.0949499	+	0.538488i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	0.228725	−	0.396164i	0.0203765	−	0.0352931i
$127$	0.100392	+	0.0842392i	0.00890838	+	0.00747502i	0.647231	−	0.762294i	$-0.275927\pi$
$127$	0.100392	+	0.0842392i	0.00890838	+	0.00747502i	−0.638323	+	0.769769i	$0.720371\pi$
$128$	0.939693	+	0.342020i	0.0830579	+	0.0302306i
$129$	14.5066	−	5.27997i	1.27724	−	0.464876i
$130$	0.993308	−	0.833484i	0.0871189	−	0.0731014i
$131$	2.22302	+	12.6074i	0.194226	+	1.10151i	0.913516	+	0.406802i	$0.133356\pi$
$131$	2.22302	+	12.6074i	0.194226	+	1.10151i	−0.719290	+	0.694710i	$0.755533\pi$
$132$	4.86778			0.423686
$133$	−2.90081	+	10.3932i	−0.251532	+	0.901201i
$134$	−3.36634			−0.290808
$135$	0.927912	+	5.26245i	0.0798619	+	0.452919i
$136$	−0.952186	+	0.798979i	−0.0816492	+	0.0685119i
$137$	14.6862	−	5.34535i	1.25473	−	0.456684i	0.372732	−	0.927939i	$-0.378421\pi$
$137$	14.6862	−	5.34535i	1.25473	−	0.456684i	0.881997	+	0.471255i	$0.156199\pi$
$138$	3.46192	+	1.26004i	0.294698	+	0.107261i
$139$	−8.79431	−	7.37930i	−0.745924	−	0.625904i	0.188498	−	0.982074i	$-0.439638\pi$
$139$	−8.79431	−	7.37930i	−0.745924	−	0.625904i	−0.934421	+	0.356169i	$0.884083\pi$
$140$	−1.23774	+	2.14383i	−0.104608	+	0.181187i
$141$	9.33549	+	16.1695i	0.786190	+	1.36172i
$142$	−2.63893	+	14.9661i	−0.221454	+	1.25593i
$143$	0.653245	−	3.70474i	0.0546271	−	0.309806i
$144$	0.0923963	+	0.160035i	0.00769969	+	0.0133363i
$145$	−3.24179	+	5.61495i	−0.269216	+	0.466296i
$146$	−0.429457	−	0.360357i	−0.0355421	−	0.0298233i
$147$	1.37483	+	0.500396i	0.113394	+	0.0412720i
$148$	−1.35804	+	0.494286i	−0.111630	+	0.0406301i
$149$	−11.6068	+	9.73926i	−0.950866	+	0.797871i	−0.979443	−	0.201720i	$-0.935347\pi$
$149$	−11.6068	+	9.73926i	−0.950866	+	0.797871i	0.0285771	+	0.999592i	$0.490902\pi$
$150$	−0.291357	−	1.65237i	−0.0237892	−	0.134915i
$151$	−5.78759			−0.470988			−0.235494	−	0.971876i	$-0.575671\pi$
$151$	−5.78759			−0.470988			−0.235494	+	0.971876i	$0.575671\pi$
$152$	−3.05004	−	3.11404i	−0.247391	−	0.252582i
$153$	−0.229695			−0.0185698
$154$	1.24711	+	7.07274i	0.100495	+	0.569937i
$155$	4.66433	−	3.91384i	0.374648	−	0.314367i
$156$	−2.04442	+	0.744109i	−0.163685	+	0.0595764i
$157$	10.3544	+	3.76870i	0.826372	+	0.300775i	0.720369	−	0.693591i	$-0.243972\pi$
$157$	10.3544	+	3.76870i	0.826372	+	0.300775i	0.106003	+	0.994366i	$0.466195\pi$
$158$	−4.96611	−	4.16706i	−0.395082	−	0.331514i
$159$	−10.0979	+	17.4900i	−0.800814	+	1.38705i
$160$	−0.500000	−	0.866025i	−0.0395285	−	0.0684653i
$161$	−0.943857	+	5.35288i	−0.0743864	+	0.421866i
$162$	1.46064	−	8.28368i	0.114758	−	0.650828i
$163$	11.0896	+	19.2078i	0.868605	+	1.50447i	0.863423	+	0.504481i	$0.168316\pi$
$163$	11.0896	+	19.2078i	0.868605	+	1.50447i	0.00518168	+	0.999987i	$0.498351\pi$
$164$	−1.19184	+	2.06434i	−0.0930675	+	0.161198i
$165$	−3.72894	−	3.12895i	−0.290297	−	0.243589i
$166$	−7.94481	−	2.89168i	−0.616637	−	0.224438i
$167$	16.3396	−	5.94713i	1.26440	−	0.460203i	0.379155	−	0.925333i	$-0.376215\pi$
$167$	16.3396	−	5.94713i	1.26440	−	0.460203i	0.885242	+	0.465130i	$0.153993\pi$
$168$	3.18177	−	2.66982i	0.245479	−	0.205981i
$169$	−1.96546	−	11.1467i	−0.151189	−	0.857438i
$170$	1.24299			0.0953330
$171$	−0.0618692	−	0.803112i	−0.00473125	−	0.0614155i
$172$	−9.20078			−0.701553
$173$	0.373025	+	2.11553i	0.0283606	+	0.160841i	0.995699	−	0.0926478i	$-0.0295331\pi$
$173$	0.373025	+	2.11553i	0.0283606	+	0.160841i	−0.967338	+	0.253489i	$0.918422\pi$
$174$	8.33344	−	6.99259i	0.631757	−	0.530107i
$175$	2.32619	−	0.846665i	0.175844	−	0.0640019i
$176$	−2.72623	−	0.992265i	−0.205497	−	0.0747948i
$177$	−2.60020	−	2.18183i	−0.195443	−	0.163996i
$178$	−5.95001	+	10.3057i	−0.445972	+	0.772447i
$179$	5.19089	+	8.99089i	0.387985	+	0.672011i	0.992178	−	0.124827i	$-0.0398377\pi$
$179$	5.19089	+	8.99089i	0.387985	+	0.672011i	−0.604193	+	0.796838i	$0.706504\pi$
$180$	0.0320889	−	0.181985i	0.00239176	−	0.0135644i
$181$	−2.89049	+	16.3928i	−0.214848	+	1.21846i	0.666322	+	0.745664i	$0.267868\pi$
$181$	−2.89049	+	16.3928i	−0.214848	+	1.21846i	−0.881170	+	0.472800i	$0.843243\pi$
$182$	−1.60494	−	2.77984i	−0.118966	−	0.206056i
$183$	1.12358	−	1.94609i	0.0830571	−	0.143859i
$184$	−1.68202	−	1.41138i	−0.124000	−	0.104048i
$185$	1.35804	+	0.494286i	0.0998451	+	0.0363406i
$186$	−9.60011	+	3.49415i	−0.703914	+	0.256204i
$187$	2.76247	−	2.31799i	0.202012	−	0.169508i
$188$	−1.93233	−	10.9588i	−0.140930	−	0.799254i
$189$	13.2281			0.962200
$190$	0.334803	+	4.34602i	0.0242892	+	0.315294i
$191$	−21.7916			−1.57679			−0.788393	−	0.615172i	$-0.789086\pi$
$191$	−21.7916			−1.57679			−0.788393	+	0.615172i	$0.789086\pi$
$192$	0.291357	+	1.65237i	0.0210269	+	0.119249i
$193$	17.5503	−	14.7264i	1.26330	−	1.06003i	0.267974	−	0.963426i	$-0.413646\pi$
$193$	17.5503	−	14.7264i	1.26330	−	1.06003i	0.995323	−	0.0966060i	$-0.0307987\pi$
$194$	−2.54247	+	0.925384i	−0.182539	+	0.0664387i
$195$	2.04442	+	0.744109i	0.146404	+	0.0532868i
$196$	−0.667976	−	0.560499i	−0.0477126	−	0.0400356i
$197$	2.47777	−	4.29163i	0.176534	−	0.305766i	−0.764157	−	0.645030i	$-0.776845\pi$
$197$	2.47777	−	4.29163i	0.176534	−	0.305766i	0.940691	+	0.339264i	$0.110178\pi$
$198$	−0.268059	−	0.464292i	−0.0190501	−	0.0329958i
$199$	4.27197	−	24.2276i	0.302832	−	1.71745i	−0.330704	−	0.943734i	$-0.607286\pi$
$199$	4.27197	−	24.2276i	0.302832	−	1.71745i	0.633537	−	0.773713i	$-0.281603\pi$
$200$	−0.173648	+	0.984808i	−0.0122788	+	0.0696364i
$201$	−2.82412	−	4.89153i	−0.199198	−	0.345022i
$202$	0.0589295	−	0.102069i	0.00414626	−	0.00718154i
$203$	12.2950	+	10.3167i	0.862941	+	0.724094i
$204$	−1.95979	−	0.713304i	−0.137212	−	0.0499413i
$205$	2.23994	−	0.815270i	0.156444	−	0.0569409i
$206$	−1.33398	+	1.11934i	−0.0929426	+	0.0779881i
$207$	−0.0704581	−	0.399588i	−0.00489717	−	0.0277733i
$208$	1.29667			0.0899080
$209$	8.84875	+	9.03442i	0.612081	+	0.624924i
$210$	−4.15351			−0.286619
$211$	−0.638032	−	3.61846i	−0.0439239	−	0.249105i	0.954938	−	0.296806i	$-0.0959215\pi$
$211$	−0.638032	−	3.61846i	−0.0439239	−	0.249105i	−0.998862	+	0.0477014i	$0.984810\pi$
$212$	9.22060	−	7.73700i	0.633273	−	0.531379i
$213$	−23.9607	+	8.72096i	−1.64176	+	0.597551i
$214$	−15.6988	−	5.71391i	−1.07315	−	0.390595i
$215$	7.04821	+	5.91415i	0.480684	+	0.403342i
$216$	−2.67181	+	4.62772i	−0.181794	+	0.314876i
$217$	−7.53642	−	13.0535i	−0.511606	−	0.886127i
$218$	−3.51599	+	19.9402i	−0.238133	+	1.35052i
$219$	0.163339	−	0.926343i	0.0110374	−	0.0625965i
$220$	1.45059	+	2.51250i	0.0977991	+	0.169393i
$221$	−0.805875	+	1.39582i	−0.0542090	+	0.0938927i
$222$	−1.85753	−	1.55865i	−0.124669	−	0.104610i
$223$	−7.00387	−	2.54920i	−0.469014	−	0.170707i	0.0966918	−	0.995314i	$-0.469174\pi$
$223$	−7.00387	−	2.54920i	−0.469014	−	0.170707i	−0.565706	+	0.824607i	$0.691396\pi$
$224$	−2.32619	+	0.846665i	−0.155425	+	0.0565702i
$225$	−0.141559	+	0.118782i	−0.00943729	+	0.00791882i
$226$	2.87298	+	16.2935i	0.191108	+	1.08383i
$227$	−11.4167			−0.757750			−0.378875	−	0.925448i	$-0.623689\pi$
$227$	−11.4167			−0.757750			−0.378875	+	0.925448i	$0.623689\pi$
$228$	1.96614	−	7.04438i	0.130211	−	0.466525i
$229$	−3.19332			−0.211021			−0.105510	−	0.994418i	$-0.533648\pi$
$229$	−3.19332			−0.211021			−0.105510	+	0.994418i	$0.533648\pi$
$230$	0.381282	+	2.16236i	0.0251410	+	0.142582i
$231$	−9.23093	+	7.74567i	−0.607350	+	0.509627i
$232$	−6.09258	+	2.21752i	−0.399997	+	0.145587i
$233$	21.8940	+	7.96876i	1.43432	+	0.522051i	0.938167	−	0.346183i	$-0.112522\pi$
$233$	21.8940	+	7.96876i	1.43432	+	0.522051i	0.496156	+	0.868234i	$0.334745\pi$
$234$	0.183556	+	0.154022i	0.0119994	+	0.0100687i
$235$	−5.56394	+	9.63702i	−0.362951	+	0.628650i
$236$	1.01150	+	1.75198i	0.0658433	+	0.114044i
$237$	1.88881	−	10.7120i	0.122691	−	0.695817i
$238$	0.534316	−	3.03025i	0.0346345	−	0.196422i
$239$	4.11104	+	7.12053i	0.265921	+	0.460589i	0.967805	−	0.251703i	$-0.0809906\pi$
$239$	4.11104	+	7.12053i	0.265921	+	0.460589i	−0.701883	+	0.712292i	$0.747657\pi$
$240$	0.838929	−	1.45307i	0.0541526	−	0.0937951i
$241$	15.9574	+	13.3899i	1.02791	+	0.862518i	0.990601	−	0.136786i	$-0.0436773\pi$
$241$	15.9574	+	13.3899i	1.02791	+	0.862518i	0.0373080	+	0.999304i	$0.488122\pi$
$242$	−2.42732	−	0.883473i	−0.156034	−	0.0567918i
$243$	−1.80198	+	0.655868i	−0.115597	+	0.0420740i
$244$	−1.02596	+	0.860884i	−0.0656805	+	0.0551124i
$245$	0.151418	+	0.858734i	0.00967374	+	0.0548625i
$246$	−3.99949			−0.254998
$247$	−5.09743	−	2.44171i	−0.324342	−	0.155363i
$248$	6.08885			0.386642
$249$	−2.46333	−	13.9703i	−0.156107	−	0.885330i
$250$	0.766044	−	0.642788i	0.0484489	−	0.0406535i
$251$	−10.7939	+	3.92864i	−0.681302	+	0.247974i	−0.659406	−	0.751787i	$-0.729192\pi$
$251$	−10.7939	+	3.92864i	−0.681302	+	0.247974i	−0.0218955	+	0.999760i	$0.506970\pi$
$252$	−0.429863	−	0.156457i	−0.0270788	−	0.00985589i
$253$	4.87985	+	4.09468i	0.306793	+	0.257430i
$254$	0.0655264	−	0.113495i	0.00411149	−	0.00712132i
$255$	1.04278	+	1.80615i	0.0653014	+	0.113105i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	0.322408	−	1.82847i	0.0201112	−	0.114057i	−0.973100	−	0.230385i	$-0.926001\pi$
$257$	0.322408	−	1.82847i	0.0201112	−	0.114057i	0.993211	+	0.116329i	$0.0371125\pi$
$258$	−7.71881	−	13.3694i	−0.480552	−	0.832340i
$259$	1.78878	−	3.09826i	0.111149	−	0.192516i
$260$	−0.993308	−	0.833484i	−0.0616023	−	0.0516905i
$261$	−1.12586	−	0.409781i	−0.0696892	−	0.0253648i
$262$	12.0298	−	4.37850i	0.743205	−	0.270505i
$263$	7.85464	−	6.59082i	0.484338	−	0.406407i	−0.367654	−	0.929963i	$-0.619839\pi$
$263$	7.85464	−	6.59082i	0.484338	−	0.406407i	0.851992	+	0.523555i	$0.175395\pi$
$264$	−0.845282	−	4.79383i	−0.0520235	−	0.295040i
$265$	−12.0366			−0.739404
$266$	10.7390	+	1.05199i	0.658449	+	0.0645014i
$267$	−19.9666			−1.22193
$268$	0.584560	+	3.31520i	0.0357077	+	0.202508i
$269$	20.2958	−	17.0302i	1.23746	−	1.03835i	0.239738	−	0.970838i	$-0.422939\pi$
$269$	20.2958	−	17.0302i	1.23746	−	1.03835i	0.997719	−	0.0675114i	$-0.0215059\pi$
$270$	5.02137	−	1.82763i	0.305591	−	0.111226i
$271$	−23.4094	−	8.52031i	−1.42202	−	0.517572i	−0.487385	−	0.873187i	$-0.662049\pi$
$271$	−23.4094	−	8.52031i	−1.42202	−	0.517572i	−0.934633	+	0.355615i	$0.884272\pi$
$272$	0.952186	+	0.798979i	0.0577347	+	0.0484452i
$273$	2.69287	−	4.66419i	0.162980	−	0.282289i
$274$	−7.81438	−	13.5349i	−0.472084	−	0.817673i
$275$	0.503786	−	2.85711i	0.0303795	−	0.172290i
$276$	0.639737	−	3.62813i	0.0385076	−	0.218388i
$277$	7.18265	+	12.4407i	0.431564	+	0.747490i	0.997008	−	0.0772960i	$-0.0246286\pi$
$277$	7.18265	+	12.4407i	0.431564	+	0.747490i	−0.565444	+	0.824786i	$0.691295\pi$
$278$	−5.74008	+	9.94211i	−0.344267	+	0.596288i
$279$	0.861933	+	0.723248i	0.0516026	+	0.0432997i
$280$	2.32619	+	0.846665i	0.139017	+	0.0505979i
$281$	25.2726	−	9.19849i	1.50764	−	0.548736i	0.549614	−	0.835419i	$-0.314775\pi$
$281$	25.2726	−	9.19849i	1.50764	−	0.548736i	0.958025	+	0.286683i	$0.0925527\pi$
$282$	14.3028	−	12.0015i	0.851720	−	0.714678i
$283$	−3.50163	−	19.8587i	−0.208150	−	1.18048i	−0.892405	−	0.451235i	$-0.850984\pi$
$283$	−3.50163	−	19.8587i	−0.208150	−	1.18048i	0.684255	−	0.729243i	$-0.260127\pi$
$284$	15.1970			0.901776
$285$	−6.03419	+	4.13250i	−0.357434	+	0.244788i
$286$	−3.76189			−0.222445
$287$	−1.02466	−	5.81114i	−0.0604838	−	0.343021i
$288$	0.141559	−	0.118782i	0.00834146	−	0.00699932i
$289$	14.5229	−	5.28591i	0.854290	−	0.310936i
$290$	6.09258	+	2.21752i	0.357769	+	0.130217i
$291$	−3.47760	−	2.91805i	−0.203860	−	0.171059i
$292$	−0.280308	+	0.485507i	−0.0164038	+	0.0284122i
$293$	−9.99952	−	17.3197i	−0.584178	−	1.01183i	−0.994977	−	0.100100i	$-0.968084\pi$
$293$	−9.99952	−	17.3197i	−0.584178	−	1.01183i	0.410799	−	0.911726i	$-0.365250\pi$
$294$	0.254058	−	1.44083i	0.0148170	−	0.0840311i
$295$	0.351292	−	1.99228i	0.0204530	−	0.115995i
$296$	0.722598	+	1.25158i	0.0420002	+	0.0727464i
$297$	7.75144	−	13.4259i	0.449784	−	0.779049i
$298$	11.6068	+	9.73926i	0.672364	+	0.564180i
$299$	−2.67542	−	0.973773i	−0.154723	−	0.0563147i
$300$	−1.57667	+	0.573861i	−0.0910291	+	0.0331319i
$301$	17.4477	−	14.6404i	1.00567	−	0.843858i
$302$	1.00500	+	5.69967i	0.0578315	+	0.327979i
$303$	0.197751			0.0113605
$304$	−2.53709	+	3.54445i	−0.145512	+	0.203288i
$305$	1.33930			0.0766880
$306$	0.0398862	+	0.226206i	0.00228014	+	0.0129313i
$307$	−14.8627	+	12.4713i	−0.848257	+	0.711772i	−0.959405	−	0.282032i	$-0.908992\pi$
$307$	−14.8627	+	12.4713i	−0.848257	+	0.711772i	0.111148	+	0.993804i	$0.464547\pi$
$308$	6.74873	−	2.45634i	0.384544	−	0.139963i
$309$	−2.74559	−	0.999312i	−0.156191	−	0.0568489i
$310$	−4.66433	−	3.91384i	−0.264916	−	0.222291i
$311$	−2.69949	+	4.67566i	−0.153074	+	0.265132i	−0.932356	−	0.361541i	$-0.882251\pi$
$311$	−2.69949	+	4.67566i	−0.153074	+	0.265132i	0.779282	+	0.626673i	$0.215584\pi$
$312$	1.08782	+	1.88415i	0.0615854	+	0.106669i
$313$	−2.81021	+	15.9375i	−0.158843	+	0.900841i	0.796345	+	0.604842i	$0.206764\pi$
$313$	−2.81021	+	15.9375i	−0.158843	+	0.900841i	−0.955188	+	0.295999i	$0.904347\pi$
$314$	1.91342	−	10.8515i	0.107980	−	0.612388i
$315$	0.228725	+	0.396164i	0.0128872	+	0.0223213i
$316$	−3.24140	+	5.61427i	−0.182343	+	0.315827i
$317$	−1.87753	−	1.57543i	−0.105453	−	0.0884852i	0.588537	−	0.808470i	$-0.299704\pi$
$317$	−1.87753	−	1.57543i	−0.105453	−	0.0884852i	−0.693989	+	0.719985i	$0.744149\pi$
$318$	18.9778	+	6.90736i	1.06422	+	0.387345i
$319$	17.6757	−	6.43344i	0.989651	−	0.360203i
$320$	−0.766044	+	0.642788i	−0.0428232	+	0.0359329i
$321$	−4.86752	−	27.6051i	−0.271678	−	1.54076i
$322$	5.43546			0.302906
$323$	−2.23867	−	4.93394i	−0.124563	−	0.274532i
$324$	−8.41147			−0.467304
$325$	0.225165	+	1.27697i	0.0124899	+	0.0708337i
$326$	16.9903	−	14.2565i	0.941003	−	0.789595i
$327$	−31.9241	+	11.6194i	−1.76541	+	0.642555i
$328$	2.23994	+	0.815270i	0.123680	+	0.0450158i
$329$	21.1021	+	17.7068i	1.16340	+	0.976206i
$330$	−2.43389	+	4.21562i	−0.133981	+	0.232062i
$331$	−1.51812	−	2.62947i	−0.0834436	−	0.144529i	0.821283	−	0.570521i	$-0.193259\pi$
$331$	−1.51812	−	2.62947i	−0.0834436	−	0.144529i	−0.904727	+	0.425992i	$0.859925\pi$
$332$	−1.46814	+	8.32625i	−0.0805748	+	0.456962i
$333$	−0.0463747	+	0.263004i	−0.00254132	+	0.0144125i
$334$	−8.69412	−	15.0587i	−0.475721	−	0.823973i
$335$	1.68317	−	2.91534i	0.0919615	−	0.159282i
$336$	−3.18177	−	2.66982i	−0.173580	−	0.145651i
$337$	5.69742	+	2.07369i	0.310358	+	0.112961i	0.492504	−	0.870310i	$-0.336082\pi$
$337$	5.69742	+	2.07369i	0.310358	+	0.112961i	−0.182145	+	0.983272i	$0.558304\pi$
$338$	−10.6360	+	3.87120i	−0.578525	+	0.210566i
$339$	−21.2653	+	17.8437i	−1.15497	+	0.969138i
$340$	−0.215843	−	1.22411i	−0.0117057	−	0.0663865i
$341$	−17.6649			−0.956608
$342$	−0.780168	+	0.200388i	−0.0421866	+	0.0108358i
$343$	19.4870			1.05220
$344$	1.59770	+	9.06100i	0.0861422	+	0.488537i
$345$	−2.82218	+	2.36809i	−0.151941	+	0.127494i
$346$	2.01862	−	0.734716i	0.108522	−	0.0394986i
$347$	−2.70335	−	0.983940i	−0.145124	−	0.0528207i	0.268437	−	0.963297i	$-0.413493\pi$
$347$	−2.70335	−	0.983940i	−0.145124	−	0.0528207i	−0.413561	+	0.910477i	$0.635715\pi$
$348$	−8.33344	−	6.99259i	−0.446719	−	0.374842i
$349$	−16.3979	+	28.4020i	−0.877761	+	1.52033i	−0.0239680	+	0.999713i	$0.507630\pi$
$349$	−16.3979	+	28.4020i	−0.877761	+	1.52033i	−0.853793	+	0.520613i	$0.825703\pi$
$350$	−1.23774	−	2.14383i	−0.0661601	−	0.114593i
$351$	−1.20320	+	6.82367i	−0.0642219	+	0.364220i
$352$	−0.503786	+	2.85711i	−0.0268519	+	0.152285i
$353$	−10.6004	−	18.3605i	−0.564204	−	0.977231i	−0.997123	−	0.0757977i	$-0.975850\pi$
$353$	−10.6004	−	18.3605i	−0.564204	−	0.977231i	0.432919	−	0.901433i	$-0.357484\pi$
$354$	−1.69716	+	2.93957i	−0.0902031	+	0.156236i
$355$	−11.6416	−	9.76844i	−0.617870	−	0.518455i
$356$	11.1824	+	4.07005i	0.592664	+	0.215712i
$357$	4.85142	−	1.76577i	0.256764	−	0.0934546i
$358$	7.95291	−	6.67328i	0.420324	−	0.352694i
$359$	3.22806	+	18.3072i	0.170370	+	0.966218i	0.943353	+	0.331791i	$0.107653\pi$
$359$	3.22806	+	18.3072i	0.170370	+	0.966218i	−0.772983	+	0.634427i	$0.781236\pi$
$360$	−0.184793			−0.00973942
$361$	16.6482	−	9.15633i	0.876220	−	0.481912i
$362$	16.6456			0.874876
$363$	−0.752605	−	4.26823i	−0.0395015	−	0.224024i
$364$	−2.45892	+	2.06328i	−0.128882	+	0.108145i
$365$	0.526806	−	0.191742i	0.0275743	−	0.0100362i
$366$	−2.11163	−	0.768571i	−0.110377	−	0.0401739i
$367$	−16.6403	−	13.9628i	−0.868615	−	0.728855i	0.0951910	−	0.995459i	$-0.469654\pi$
$367$	−16.6403	−	13.9628i	−0.868615	−	0.728855i	−0.963806	+	0.266605i	$0.914098\pi$
$368$	−1.09786	+	1.90155i	−0.0572298	+	0.0991249i
$369$	0.220244	+	0.381474i	0.0114654	+	0.0198587i
$370$	0.250956	−	1.42324i	0.0130466	−	0.0739907i
$371$	−5.17411	+	29.3438i	−0.268626	+	1.52345i
$372$	5.10811	+	8.84751i	0.264843	+	0.458722i
$373$	−11.2077	+	19.4123i	−0.580312	+	1.00513i	0.415130	+	0.909762i	$0.363736\pi$
$373$	−11.2077	+	19.4123i	−0.580312	+	1.00513i	−0.995442	+	0.0953679i	$0.969597\pi$
$374$	−2.76247	−	2.31799i	−0.142844	−	0.119860i
$375$	1.57667	+	0.573861i	0.0814189	+	0.0296341i
$376$	−10.4568	+	3.80596i	−0.539267	+	0.196277i
$377$	−6.44020	+	5.40397i	−0.331687	+	0.278318i
$378$	−2.29703	−	13.0271i	−0.118146	−	0.670042i
$379$	−8.45251			−0.434176			−0.217088	−	0.976152i	$-0.569656\pi$
$379$	−8.45251			−0.434176			−0.217088	+	0.976152i	$0.569656\pi$
$380$	4.22186	−	1.08440i	0.216577	−	0.0556283i
$381$	0.219888			0.0112652
$382$	3.78407	+	21.4605i	0.193610	+	1.09802i
$383$	−7.54187	+	6.32838i	−0.385372	+	0.323365i	−0.814807	−	0.579732i	$-0.803157\pi$
$383$	−7.54187	+	6.32838i	−0.385372	+	0.323365i	0.429435	+	0.903098i	$0.358713\pi$
$384$	1.57667	−	0.573861i	0.0804591	−	0.0292847i
$385$	−6.74873	−	2.45634i	−0.343947	−	0.125186i
$386$	−17.5503	−	14.7264i	−0.893286	−	0.749556i
$387$	−0.850118	+	1.47245i	−0.0432139	+	0.0748487i
$388$	1.35282	+	2.34315i	0.0686791	+	0.118956i
$389$	−1.47850	+	8.38497i	−0.0749627	+	0.425135i	0.924112	+	0.382122i	$0.124807\pi$
$389$	−1.47850	+	8.38497i	−0.0749627	+	0.425135i	−0.999075	+	0.0430125i	$0.986304\pi$
$390$	0.377794	−	2.14258i	0.0191304	−	0.108494i
$391$	−1.36463	−	2.36360i	−0.0690121	−	0.119532i
$392$	−0.435991	+	0.755158i	−0.0220208	+	0.0381412i
$393$	16.4544	+	13.8069i	0.830016	+	0.696466i
$394$	−4.65669	−	1.69490i	−0.234601	−	0.0853877i
$395$	6.09184	−	2.21725i	0.306513	−	0.111562i
$396$	−0.410690	+	0.344610i	−0.0206380	+	0.0173173i
$397$	4.25698	+	24.1425i	0.213651	+	1.21168i	0.883231	+	0.468938i	$0.155363\pi$
$397$	4.25698	+	24.1425i	0.213651	+	1.21168i	−0.669580	+	0.742740i	$0.733526\pi$
$398$	−24.6013			−1.23315
$399$	7.48063	+	16.4870i	0.374500	+	0.825383i
$400$	1.00000			0.0500000
$401$	−0.863801	−	4.89886i	−0.0431362	−	0.244637i	0.955614	−	0.294622i	$-0.0951938\pi$
$401$	−0.863801	−	4.89886i	−0.0431362	−	0.244637i	−0.998750	+	0.0499849i	$0.984083\pi$
$402$	−4.32681	+	3.63062i	−0.215802	+	0.181079i
$403$	7.41909	−	2.70033i	0.369571	−	0.134513i
$404$	−0.110751	−	0.0403101i	−0.00551008	−	0.00200550i
$405$	6.44356	+	5.40679i	0.320183	+	0.268666i
$406$	8.02501	−	13.8997i	0.398274	−	0.689831i
$407$	−2.09639	−	3.63106i	−0.103914	−	0.179985i
$408$	−0.362154	+	2.05388i	−0.0179293	+	0.101682i
$409$	3.14232	−	17.8210i	0.155377	−	0.881189i	−0.803062	−	0.595895i	$-0.796797\pi$
$409$	3.14232	−	17.8210i	0.155377	−	0.881189i	0.958440	−	0.285295i	$-0.0920914\pi$
$410$	−1.19184	−	2.06434i	−0.0588610	−	0.101950i
$411$	13.1114	−	22.7096i	0.646739	−	1.12018i
$412$	1.33398	+	1.11934i	0.0657203	+	0.0551459i
$413$	−4.70591	−	1.71281i	−0.231563	−	0.0842819i
$414$	−0.381282	+	0.138775i	−0.0187390	+	0.00682043i
$415$	6.47667	−	5.43457i	0.317927	−	0.266773i
$416$	−0.225165	−	1.27697i	−0.0110396	−	0.0626087i
$417$	−19.2621			−0.943268
$418$	7.36059	−	10.2831i	0.360018	−	0.502964i
$419$	−10.5816			−0.516945			−0.258472	−	0.966019i	$-0.583219\pi$
$419$	−10.5816			−0.516945			−0.258472	+	0.966019i	$0.583219\pi$
$420$	0.721249	+	4.09041i	0.0351934	+	0.199592i
$421$	−18.5815	+	15.5917i	−0.905605	+	0.759893i	−0.971278	−	0.237949i	$-0.923525\pi$
$421$	−18.5815	+	15.5917i	−0.905605	+	0.759893i	0.0656729	+	0.997841i	$0.479081\pi$
$422$	−3.45269	+	1.25668i	−0.168074	+	0.0611741i
$423$	−1.93233	−	0.703312i	−0.0939533	−	0.0341962i
$424$	−9.22060	−	7.73700i	−0.447792	−	0.375742i
$425$	−0.621495	+	1.07646i	−0.0301469	+	0.0522160i
$426$	12.7492	+	22.0823i	0.617701	+	1.06989i
$427$	0.575715	−	3.26504i	0.0278608	−	0.158006i
$428$	−2.90103	+	16.4526i	−0.140227	+	0.795264i
$429$	−3.15596	−	5.46628i	−0.152371	−	0.263914i
$430$	4.60039	−	7.96811i	0.221851	−	0.384257i
$431$	27.3497	+	22.9491i	1.31739	+	1.10542i	0.986852	+	0.161626i	$0.0516738\pi$
$431$	27.3497	+	22.9491i	1.31739	+	1.10542i	0.330536	+	0.943794i	$0.392771\pi$
$432$	5.02137	+	1.82763i	0.241591	+	0.0879318i
$433$	−31.0738	+	11.3099i	−1.49331	+	0.543521i	−0.954319	−	0.298790i	$-0.903417\pi$
$433$	−31.0738	+	11.3099i	−1.49331	+	0.543521i	−0.538992	+	0.842311i	$0.681195\pi$
$434$	−11.5465	+	9.68864i	−0.554248	+	0.465069i
$435$	1.88904	+	10.7133i	0.0905725	+	0.513662i
$436$	20.2478			0.969693
$437$	7.89659	−	5.40796i	0.377745	−	0.258698i
$438$	−0.940634			−0.0449452
$439$	1.02662	+	5.82227i	0.0489981	+	0.277882i	0.999456	−	0.0329703i	$-0.0104967\pi$
$439$	1.02662	+	5.82227i	0.0489981	+	0.277882i	−0.950458	+	0.310852i	$0.899386\pi$
$440$	2.22244	−	1.86485i	0.105951	−	0.0889032i
$441$	−0.151418	+	0.0551116i	−0.00721038	+	0.00262436i
$442$	1.51455	+	0.551251i	0.0720398	+	0.0262203i
$443$	9.06436	+	7.60590i	0.430661	+	0.361367i	0.832201	−	0.554474i	$-0.187081\pi$
$443$	9.06436	+	7.60590i	0.430661	+	0.361367i	−0.401540	+	0.915841i	$0.631525\pi$
$444$	−1.21242	+	2.09997i	−0.0575388	+	0.0996601i
$445$	−5.95001	−	10.3057i	−0.282058	−	0.488538i
$446$	−1.29426	+	7.34013i	−0.0612851	+	0.347565i
$447$	−4.41452	+	25.0360i	−0.208800	+	1.18416i
$448$	1.23774	+	2.14383i	0.0584778	+	0.101287i
$449$	3.79197	−	6.56789i	0.178954	−	0.309958i	−0.762568	−	0.646908i	$-0.776062\pi$
$449$	3.79197	−	6.56789i	0.178954	−	0.309958i	0.941523	+	0.336950i	$0.109395\pi$
$450$	0.141559	+	0.118782i	0.00667317	+	0.00559945i
$451$	−6.49848	−	2.36525i	−0.306001	−	0.111375i
$452$	15.5471	−	5.65867i	0.731273	−	0.266161i
$453$	−7.43887	+	6.24195i	−0.349509	+	0.293273i
$454$	1.98248	+	11.2432i	0.0930424	+	0.527670i
$455$	3.20989			0.150482
$456$	−7.27877	−	0.713026i	−0.340860	−	0.0333905i
$457$	13.0616			0.610995			0.305497	−	0.952193i	$-0.401177\pi$
$457$	13.0616			0.610995			0.305497	+	0.952193i	$0.401177\pi$
$458$	0.554515	+	3.14481i	0.0259108	+	0.146947i
$459$	−5.08813	+	4.26945i	−0.237493	+	0.199281i
$460$	2.06330	−	0.750979i	0.0962017	−	0.0350146i
$461$	29.3589	+	10.6858i	1.36738	+	0.497685i	0.918328	−	0.395821i	$-0.129540\pi$
$461$	29.3589	+	10.6858i	1.36738	+	0.497685i	0.449051	+	0.893506i	$0.351762\pi$
$462$	9.23093	+	7.74567i	0.429462	+	0.360361i
$463$	6.98180	−	12.0928i	0.324472	−	0.562002i	−0.656933	−	0.753949i	$-0.728147\pi$
$463$	6.98180	−	12.0928i	0.324472	−	0.562002i	0.981405	+	0.191947i	$0.0614801\pi$
$464$	3.24179	+	5.61495i	0.150496	+	0.260668i
$465$	1.77403	−	10.0610i	0.0822686	−	0.466568i
$466$	4.04585	−	22.9451i	0.187420	−	1.06291i
$467$	5.90352	+	10.2252i	0.273182	+	0.473165i	0.969675	−	0.244399i	$-0.0785905\pi$
$467$	5.90352	+	10.2252i	0.273182	+	0.473165i	−0.696493	+	0.717564i	$0.745257\pi$
$468$	0.119808	−	0.207513i	0.00553811	−	0.00959228i
$469$	−6.38370	−	5.35656i	−0.294772	−	0.247343i
$470$	10.4568	+	3.80596i	0.482335	+	0.175556i
$471$	17.3732	−	6.32334i	0.800517	−	0.291364i
$472$	1.54971	−	1.30037i	0.0713314	−	0.0598542i
$473$	−4.63523	−	26.2877i	−0.213128	−	1.20871i
$474$	−10.8772			−0.499607
$475$	−3.93117	−	1.88306i	−0.180374	−	0.0864008i
$476$	−3.07700			−0.141034
$477$	−0.386242	−	2.19049i	−0.0176848	−	0.100296i
$478$	6.29848	−	5.28505i	0.288086	−	0.241733i
$479$	30.1189	−	10.9624i	1.37617	−	0.500884i	0.455153	−	0.890413i	$-0.349585\pi$
$479$	30.1189	−	10.9624i	1.37617	−	0.500884i	0.921014	+	0.389529i	$0.127362\pi$
$480$	−1.57667	−	0.573861i	−0.0719648	−	0.0261931i
$481$	1.43552	+	1.20455i	0.0654543	+	0.0549227i
$482$	10.4155	−	18.0401i	0.474412	−	0.821705i
$483$	4.55996	+	7.89809i	0.207485	+	0.359375i
$484$	−0.448551	+	2.54386i	−0.0203887	+	0.115630i
$485$	0.469830	−	2.66454i	0.0213339	−	0.120990i
$486$	0.958815	+	1.66072i	0.0434927	+	0.0753316i
$487$	8.73726	−	15.1334i	0.395923	−	0.685759i	−0.597296	−	0.802021i	$-0.703758\pi$
$487$	8.73726	−	15.1334i	0.395923	−	0.685759i	0.993219	+	0.116263i	$0.0370914\pi$
$488$	1.02596	+	0.860884i	0.0464431	+	0.0389704i
$489$	34.9693	+	12.7278i	1.58137	+	0.575570i
$490$	0.819394	−	0.298235i	0.0370165	−	0.0134729i
$491$	−1.62811	+	1.36614i	−0.0734754	+	0.0616531i	−0.678786	−	0.734336i	$-0.737493\pi$
$491$	−1.62811	+	1.36614i	−0.0734754	+	0.0616531i	0.605310	+	0.795990i	$0.293049\pi$
$492$	0.694505	+	3.93873i	0.0313107	+	0.177572i
$493$	−8.05903			−0.362961
$494$	−1.51946	+	5.44399i	−0.0683637	+	0.244937i
$495$	0.536118			0.0240967
$496$	−1.05732	−	5.99634i	−0.0474749	−	0.269244i
$497$	−28.8185	+	24.1816i	−1.29269	+	1.08469i
$498$	−13.3303	+	4.85182i	−0.597344	+	0.217415i
$499$	−34.1891	−	12.4438i	−1.53051	−	0.557062i	−0.566767	−	0.823878i	$-0.691806\pi$
$499$	−34.1891	−	12.4438i	−1.53051	−	0.557062i	−0.963747	+	0.266817i	$0.914028\pi$
$500$	−0.766044	−	0.642788i	−0.0342585	−	0.0287463i
$501$	14.5875	−	25.2663i	0.651722	−	1.12882i
$502$	5.74329	+	9.94767i	0.256336	+	0.443986i
$503$	1.60048	−	9.07677i	0.0713619	−	0.404713i	−0.928113	−	0.372299i	$-0.878569\pi$
$503$	1.60048	−	9.07677i	0.0713619	−	0.404713i	0.999475	−	0.0324139i	$-0.0103195\pi$
$504$	−0.0794355	+	0.450501i	−0.00353834	+	0.0200669i
$505$	0.0589295	+	0.102069i	0.00262233	+	0.00454201i
$506$	3.18509	−	5.51674i	0.141595	−	0.245249i
$507$	−14.5480	−	12.2072i	−0.646100	−	0.542142i
$508$	−0.123149	−	0.0448227i	−0.00546387	−	0.00198869i
$509$	−16.3916	+	5.96606i	−0.726546	+	0.264441i	−0.678702	−	0.734414i	$-0.737457\pi$
$509$	−16.3916	+	5.96606i	−0.726546	+	0.264441i	−0.0478437	+	0.998855i	$0.515235\pi$
$510$	1.59763	−	1.34057i	0.0707443	−	0.0593616i
$511$	−0.240988	−	1.36671i	−0.0106607	−	0.0604597i
$512$	−1.00000			−0.0441942
$513$	−16.2983	−	16.6403i	−0.719588	−	0.734686i
$514$	−1.85667			−0.0818943
$515$	−0.302388	−	1.71493i	−0.0133248	−	0.0755687i
$516$	−11.8259	+	9.92310i	−0.520606	+	0.436840i
$517$	30.3371	−	11.0418i	1.33422	−	0.485618i
$518$	−3.36181	−	1.22360i	−0.147709	−	0.0537618i
$519$	2.76107	+	2.31681i	0.121197	+	0.101697i
$520$	−0.648336	+	1.12295i	−0.0284314	+	0.0492446i
$521$	−10.5137	−	18.2102i	−0.460611	−	0.797802i	0.538380	−	0.842702i	$-0.319037\pi$
$521$	−10.5137	−	18.2102i	−0.460611	−	0.797802i	−0.998992	+	0.0448997i	$0.985703\pi$
$522$	−0.208051	+	1.17992i	−0.00910615	+	0.0516435i
$523$	−1.48848	+	8.44161i	−0.0650868	+	0.369126i	0.934815	+	0.355134i	$0.115565\pi$
$523$	−1.48848	+	8.44161i	−0.0650868	+	0.369126i	−0.999902	+	0.0139914i	$0.995546\pi$
$524$	−6.40094	−	11.0867i	−0.279626	−	0.484327i
$525$	2.07675	−	3.59705i	0.0906370	−	0.156988i
$526$	−7.85464	−	6.59082i	−0.342478	−	0.287373i
$527$	7.11195	+	2.58854i	0.309801	+	0.112758i
$528$	−4.57422	+	1.66488i	−0.199067	+	0.0724546i
$529$	−13.9258	+	11.6851i	−0.605469	+	0.508049i
$530$	2.09014	+	11.8538i	0.0907898	+	0.514895i
$531$	0.373837			0.0162231
$532$	−0.828800	−	10.7585i	−0.0359330	−	0.466440i
$533$	3.09086			0.133880
$534$	3.46716	+	19.6632i	0.150038	+	0.850911i
$535$	12.7978	−	10.7386i	0.553298	−	0.464272i
$536$	3.16333	−	1.15136i	0.136635	−	0.0497311i
$537$	16.3687	+	5.95770i	0.706360	+	0.257094i
$538$	−20.2958	−	17.0302i	−0.875014	−	0.734224i
$539$	1.26489	−	2.19086i	0.0544827	−	0.0943668i
$540$	−2.67181	−	4.62772i	−0.114977	−	0.199145i
$541$	3.75653	−	21.3044i	0.161506	−	0.915946i	−0.791088	−	0.611702i	$-0.790485\pi$
$541$	3.75653	−	21.3044i	0.161506	−	0.915946i	0.952594	−	0.304244i	$-0.0984038\pi$
$542$	−4.32588	+	24.5333i	−0.185812	+	1.05379i
$543$	13.9645	+	24.1872i	0.599275	+	1.03797i
$544$	0.621495	−	1.07646i	0.0266464	−	0.0461529i
$545$	−15.5107	−	13.0150i	−0.664406	−	0.557502i
$546$	−5.06094	−	1.84203i	−0.216588	−	0.0788316i
$547$	−29.4938	+	10.7349i	−1.26106	+	0.458989i	−0.884126	−	0.467249i	$-0.845245\pi$
$547$	−29.4938	+	10.7349i	−1.26106	+	0.458989i	−0.376937	+	0.926239i	$0.623023\pi$
$548$	−11.9723	+	10.0460i	−0.511432	+	0.429143i
$549$	0.0429766	+	0.243732i	0.00183420	+	0.0104022i
$550$	−2.90119			−0.123707
$551$	−2.17073	−	28.1778i	−0.0924761	−	1.20042i
$552$	−3.68410			−0.156806
$553$	−2.78672	−	15.8042i	−0.118503	−	0.672065i
$554$	11.0045	−	9.23384i	0.467535	−	0.392308i
$555$	2.27860	−	0.829342i	0.0967211	−	0.0352036i
$556$	10.7878	+	3.92644i	0.457505	+	0.166518i
$557$	4.36296	+	3.66096i	0.184864	+	0.155120i	0.730523	−	0.682888i	$-0.239276\pi$
$557$	4.36296	+	3.66096i	0.184864	+	0.155120i	−0.545659	+	0.838007i	$0.683721\pi$
$558$	0.562587	−	0.974429i	0.0238162	−	0.0412509i
$559$	5.96520	+	10.3320i	0.252301	+	0.436998i
$560$	0.429863	−	2.43788i	0.0181650	−	0.103019i
$561$	1.05068	−	5.95868i	0.0443596	−	0.251576i
$562$	−13.4473	−	23.2914i	−0.567240	−	0.982488i
$563$	−4.02935	+	6.97904i	−0.169817	+	0.294132i	−0.938355	−	0.345672i	$-0.887651\pi$
$563$	−4.02935	+	6.97904i	−0.169817	+	0.294132i	0.768538	+	0.639804i	$0.220984\pi$
$564$	−14.3028	−	12.0015i	−0.602257	−	0.505353i
$565$	−15.5471	−	5.65867i	−0.654070	−	0.238062i
$566$	−18.9490	+	6.89686i	−0.796484	+	0.289896i
$567$	15.9509	−	13.3844i	0.669876	−	0.562093i
$568$	−2.63893	−	14.9661i	−0.110727	−	0.627964i
$569$	22.1220			0.927404			0.463702	−	0.885991i	$-0.346521\pi$
$569$	22.1220			0.927404			0.463702	+	0.885991i	$0.346521\pi$
$570$	5.11754	+	5.22491i	0.214350	+	0.218848i
$571$	45.8413			1.91840			0.959200	−	0.282729i	$-0.0912396\pi$
$571$	45.8413			1.91840			0.959200	+	0.282729i	$0.0912396\pi$
$572$	0.653245	+	3.70474i	0.0273136	+	0.154903i
$573$	−28.0091	+	23.5024i	−1.17009	+	0.981826i
$574$	−5.54492	+	2.01819i	−0.231441	+	0.0842375i
$575$	−2.06330	−	0.750979i	−0.0860455	−	0.0313180i
$576$	−0.141559	−	0.118782i	−0.00589830	−	0.00494926i
$577$	−15.8503	+	27.4535i	−0.659857	+	1.14291i	0.320796	+	0.947148i	$0.396050\pi$
$577$	−15.8503	+	27.4535i	−0.659857	+	1.14291i	−0.980652	+	0.195757i	$0.937284\pi$
$578$	−7.72749	−	13.3844i	−0.321421	−	0.556718i
$579$	6.67507	−	37.8562i	0.277406	−	1.57325i
$580$	1.12586	−	6.38509i	0.0467489	−	0.265126i
$581$	−10.4647	−	18.1254i	−0.434150	−	0.751970i
$582$	−2.26984	+	3.93148i	−0.0940880	+	0.162965i
$583$	26.7507	+	22.4465i	1.10790	+	0.929639i
$584$	0.526806	+	0.191742i	0.0217994	+	0.00793434i
$585$	−0.225165	+	0.0819532i	−0.00930941	+	0.00338835i
$586$	−15.3201	+	12.8551i	−0.632869	+	0.531041i
$587$	2.22328	+	12.6088i	0.0917644	+	0.520422i	0.995691	+	0.0927341i	$0.0295606\pi$
$587$	2.22328	+	12.6088i	0.0917644	+	0.520422i	−0.903926	+	0.427688i	$0.859328\pi$
$588$	−1.46306			−0.0603356
$589$	−7.13500	+	25.5636i	−0.293993	+	1.05333i
$590$	−2.02301			−0.0832860
$591$	−1.44383	−	8.18839i	−0.0593914	−	0.336825i
$592$	1.10708	−	0.928954i	0.0455009	−	0.0381798i
$593$	34.8002	−	12.6662i	1.42907	−	0.520140i	0.492407	−	0.870365i	$-0.336117\pi$
$593$	34.8002	−	12.6662i	1.42907	−	0.520140i	0.936665	+	0.350225i	$0.113895\pi$
$594$	−14.5679	−	5.30230i	−0.597730	−	0.217556i
$595$	2.35712	+	1.97786i	0.0966325	+	0.0810843i
$596$	7.57580	−	13.1217i	0.310317	−	0.537485i
$597$	−20.6388	−	35.7474i	−0.844688	−	1.46304i
$598$	−0.494397	+	2.80387i	−0.0202174	+	0.114659i
$599$	1.00225	−	5.68403i	0.0409507	−	0.232243i	−0.957462	−	0.288558i	$-0.906824\pi$
$599$	1.00225	−	5.68403i	0.0409507	−	0.232243i	0.998413	+	0.0563153i	$0.0179352\pi$
$600$	0.838929	+	1.45307i	0.0342491	+	0.0593212i
$601$	−8.26350	+	14.3128i	−0.337075	+	0.583831i	−0.983881	−	0.178823i	$-0.942771\pi$
$601$	−8.26350	+	14.3128i	−0.337075	+	0.583831i	0.646806	+	0.762655i	$0.276104\pi$
$602$	−17.4477	−	14.6404i	−0.711116	−	0.596697i
$603$	0.584560	+	0.212762i	0.0238051	+	0.00866435i
$604$	5.43856	−	1.97947i	0.221292	−	0.0805436i
$605$	1.97877	−	1.66039i	0.0804484	−	0.0675043i
$606$	−0.0343390	−	0.194746i	−0.00139493	−	0.00791103i
$607$	−2.34282			−0.0950920			−0.0475460	−	0.998869i	$-0.515140\pi$
$607$	−2.34282			−0.0950920			−0.0475460	+	0.998869i	$0.515140\pi$
$608$	3.93117	+	1.88306i	0.159430	+	0.0763683i
$609$	26.9296			1.09124
$610$	−0.232567	−	1.31895i	−0.00941635	−	0.0534028i
$611$	−11.0534	+	9.27490i	−0.447173	+	0.375222i
$612$	0.215843	−	0.0785604i	0.00872493	−	0.00317562i
$613$	28.2173	+	10.2703i	1.13969	+	0.414812i	0.841800	−	0.539789i	$-0.181496\pi$
$613$	28.2173	+	10.2703i	1.13969	+	0.414812i	0.297886	+	0.954601i	$0.403718\pi$
$614$	14.8627	+	12.4713i	0.599808	+	0.503299i
$615$	1.99975	−	3.46366i	0.0806376	−	0.139668i
$616$	−3.59092	−	6.21966i	−0.144682	−	0.250597i
$617$	−2.81756	+	15.9792i	−0.113431	+	0.643298i	0.874084	+	0.485774i	$0.161462\pi$
$617$	−2.81756	+	15.9792i	−0.113431	+	0.643298i	−0.987515	+	0.157524i	$0.949649\pi$
$618$	−0.507364	+	2.87740i	−0.0204092	+	0.115746i
$619$	−23.8503	−	41.3099i	−0.958624	−	1.66039i	−0.725848	−	0.687855i	$-0.758552\pi$
$619$	−23.8503	−	41.3099i	−0.958624	−	1.66039i	−0.232776	−	0.972530i	$-0.574781\pi$
$620$	−3.04442	+	5.27310i	−0.122267	+	0.211773i
$621$	−8.98807	−	7.54188i	−0.360679	−	0.302645i
$622$	5.07338	+	1.84656i	0.203424	+	0.0740403i
$623$	−27.6818	+	10.0753i	−1.10905	+	0.403660i
$624$	1.66663	−	1.39847i	0.0667186	−	0.0559835i
$625$	0.173648	+	0.984808i	0.00694593	+	0.0393923i
$626$	16.1834			0.646818
$627$	21.1171	+	2.06862i	0.843336	+	0.0826128i
$628$	−11.0189			−0.439704
$629$	0.311935	+	1.76907i	0.0124377	+	0.0705376i
$630$	0.350428	−	0.294044i	0.0139614	−	0.0117150i
$631$	11.5071	−	4.18824i	0.458090	−	0.166731i	−0.102660	−	0.994717i	$-0.532735\pi$
$631$	11.5071	−	4.18824i	0.458090	−	0.166731i	0.560750	+	0.827985i	$0.310513\pi$
$632$	6.09184	+	2.21725i	0.242320	+	0.0881973i
$633$	−4.72260	−	3.96273i	−0.187706	−	0.157504i
$634$	−1.22547	+	2.12258i	−0.0486696	+	0.0842983i
$635$	0.0655264	+	0.113495i	0.00260034	+	0.00450392i
$636$	3.50696	−	19.8889i	0.139060	−	0.788648i
$637$	−0.196339	+	1.11350i	−0.00777925	+	0.0441183i
$638$	−9.40506	−	16.2900i	−0.372350	−	0.644929i
$639$	1.40415	−	2.43205i	0.0555471	−	0.0962104i
$640$	0.766044	+	0.642788i	0.0302806	+	0.0254084i
$641$	27.9385	+	10.1688i	1.10350	+	0.401643i	0.828607	−	0.559831i	$-0.189134\pi$
$641$	27.9385	+	10.1688i	1.10350	+	0.401643i	0.274897	+	0.961474i	$0.411356\pi$
$642$	−26.3404	+	9.58714i	−1.03957	+	0.378374i
$643$	16.1016	−	13.5109i	0.634987	−	0.532817i	−0.267487	−	0.963561i	$-0.586193\pi$
$643$	16.1016	−	13.5109i	0.634987	−	0.532817i	0.902474	+	0.430744i	$0.141749\pi$
$644$	−0.943857	−	5.35288i	−0.0371932	−	0.210933i
$645$	15.4376			0.607855
$646$	−4.47024	+	3.06143i	−0.175879	+	0.120451i
$647$	−10.8225			−0.425476			−0.212738	−	0.977109i	$-0.568238\pi$
$647$	−10.8225			−0.425476			−0.212738	+	0.977109i	$0.568238\pi$
$648$	1.46064	+	8.28368i	0.0573792	+	0.325414i
$649$	−4.49602	+	3.77261i	−0.176484	+	0.148088i
$650$	1.21847	−	0.443488i	0.0477924	−	0.0173950i
$651$	−23.7649	−	8.64972i	−0.931420	−	0.339009i
$652$	−16.9903	−	14.2565i	−0.665390	−	0.558328i
$653$	21.4738	−	37.1937i	0.840334	−	1.45550i	−0.0492789	−	0.998785i	$-0.515692\pi$
$653$	21.4738	−	37.1937i	0.840334	−	1.45550i	0.889613	−	0.456716i	$-0.150974\pi$
$654$	16.9865	+	29.4214i	0.664223	+	1.15047i
$655$	−2.22302	+	12.6074i	−0.0868606	+	0.492611i
$656$	0.413923	−	2.34748i	0.0161610	−	0.0916536i
$657$	0.0517988	+	0.0897182i	0.00202086	+	0.00350024i
$658$	13.7734	−	23.8563i	0.536944	−	0.930015i
$659$	−4.59278	−	3.85380i	−0.178909	−	0.150123i	0.548935	−	0.835865i	$-0.315033\pi$
$659$	−4.59278	−	3.85380i	−0.178909	−	0.150123i	−0.727845	+	0.685742i	$0.759478\pi$
$660$	4.57422	+	1.66488i	0.178051	+	0.0648054i
$661$	−16.9338	+	6.16342i	−0.658650	+	0.239729i	−0.649654	−	0.760230i	$-0.725086\pi$
$661$	−16.9338	+	6.16342i	−0.658650	+	0.239729i	−0.00899680	+	0.999960i	$0.502864\pi$
$662$	−2.32590	+	1.95166i	−0.0903986	+	0.0758535i
$663$	0.469594	+	2.66320i	0.0182375	+	0.103430i
$664$	8.45470			0.328106
$665$	−6.28054	+	8.77424i	−0.243549	+	0.340250i
$666$	0.267061			0.0103484
$667$	−2.47207	−	14.0198i	−0.0957191	−	0.542850i
$668$	−13.3202	+	11.1770i	−0.515373	+	0.432449i
$669$	−11.7515	+	4.27719i	−0.454339	+	0.165366i
$670$	−3.16333	−	1.15136i	−0.122210	−	0.0444808i
$671$	−2.97651	−	2.49759i	−0.114907	−	0.0964183i
$672$	−2.07675	+	3.59705i	−0.0801126	+	0.138759i
$673$	13.6781	+	23.6912i	0.527254	+	0.913231i	0.999495	+	0.0317614i	$0.0101117\pi$
$673$	13.6781	+	23.6912i	0.527254	+	0.913231i	−0.472242	+	0.881469i	$0.656555\pi$
$674$	1.05284	−	5.97096i	0.0405539	−	0.229993i
$675$	−0.927912	+	5.26245i	−0.0357153	+	0.202552i
$676$	5.65932	+	9.80223i	0.217666	+	0.377009i
$677$	−15.1015	+	26.1566i	−0.580398	+	1.00528i	0.415034	+	0.909806i	$0.363770\pi$
$677$	−15.1015	+	26.1566i	−0.580398	+	1.00528i	−0.995432	+	0.0954734i	$0.969564\pi$
$678$	21.2653	+	17.8437i	0.816689	+	0.685284i
$679$	−6.29385	−	2.29077i	−0.241536	−	0.0879118i
$680$	−1.16803	+	0.425128i	−0.0447919	+	0.0163029i
$681$	−14.6740	+	12.3129i	−0.562308	+	0.471833i
$682$	3.06748	+	17.3965i	0.117460	+	0.666148i
$683$	42.2829			1.61791			0.808955	−	0.587871i	$-0.200034\pi$
$683$	42.2829			1.61791			0.808955	+	0.587871i	$0.200034\pi$
$684$	0.332819	+	0.733518i	0.0127256	+	0.0280468i
$685$	15.6288			0.597144
$686$	−3.38388	−	19.1909i	−0.129197	−	0.732712i
$687$	−4.10442	+	3.44402i	−0.156594	+	0.131398i
$688$	8.64591	−	3.14685i	0.329622	−	0.119973i
$689$	−14.6663	−	5.33810i	−0.558742	−	0.203365i
$690$	2.82218	+	2.36809i	0.107439	+	0.0901518i
$691$	−7.96853	+	13.8019i	−0.303137	+	0.525049i	−0.976845	−	0.213949i	$-0.931367\pi$
$691$	−7.96853	+	13.8019i	−0.303137	+	0.525049i	0.673708	+	0.738998i	$0.264701\pi$
$692$	−1.07408	−	1.86037i	−0.0408305	−	0.0707205i
$693$	0.230457	−	1.30699i	0.00875435	−	0.0496484i
$694$	−0.499559	+	2.83314i	−0.0189630	+	0.107545i
$695$	−5.74008	−	9.94211i	−0.217734	−	0.377126i
$696$	−5.43927	+	9.42109i	−0.206175	+	0.357106i
$697$	2.26972	+	1.90452i	0.0859716	+	0.0721387i
$698$	30.8180	+	11.2168i	1.16648	+	0.424564i
$699$	36.7350	−	13.3704i	1.38945	−	0.505717i
$700$	−1.89633	+	1.59121i	−0.0716746	+	0.0601421i
$701$	−1.03691	−	5.88059i	−0.0391634	−	0.222107i	0.958944	−	0.283594i	$-0.0915268\pi$
$701$	−1.03691	−	5.88059i	−0.0391634	−	0.222107i	−0.998108	+	0.0614872i	$0.980416\pi$
$702$	6.92893			0.261516
$703$	−6.10141	+	1.56716i	−0.230119	+	0.0591067i
$704$	2.90119			0.109343
$705$	3.24218	+	18.3873i	0.122108	+	0.692507i
$706$	−16.2408	+	13.6277i	−0.611231	+	0.512884i
$707$	0.274163	−	0.0997871i	0.0103110	−	0.00375288i
$708$	3.18962	+	1.16093i	0.119873	+	0.0436303i
$709$	35.7131	+	29.9669i	1.34123	+	1.12543i	0.981307	+	0.192450i	$0.0616432\pi$
$709$	35.7131	+	29.9669i	1.34123	+	1.12543i	0.359928	+	0.932980i	$0.382801\pi$
$710$	−7.59850	+	13.1610i	−0.285166	+	0.493923i
$711$	0.598986	+	1.03747i	0.0224637	+	0.0389083i
$712$	2.06642	−	11.7192i	0.0774423	−	0.439197i
$713$	−2.32157	+	13.1663i	−0.0869434	+	0.493080i
$714$	−2.58139	−	4.47109i	−0.0966059	−	0.167326i
$715$	1.88094	−	3.25789i	0.0703433	−	0.121838i
$716$	−7.95291	−	6.67328i	−0.297214	−	0.249392i
$717$	12.9635	+	4.71833i	0.484131	+	0.176209i
$718$	17.4685	−	6.35803i	0.651920	−	0.237280i
$719$	−31.8698	+	26.7420i	−1.18854	+	0.997307i	−0.188661	+	0.982042i	$0.560415\pi$
$719$	−31.8698	+	26.7420i	−1.18854	+	0.997307i	−0.999883	+	0.0152650i	$0.995141\pi$
$720$	0.0320889	+	0.181985i	0.00119588	+	0.00678218i
$721$	−4.31076			−0.160541
$722$	−11.9081	−	14.8053i	−0.443175	−	0.550995i
$723$	34.9514			1.29986
$724$	−2.89049	−	16.3928i	−0.107424	−	0.609232i
$725$	−4.96672	+	4.16757i	−0.184459	+	0.154780i
$726$	−4.07270	+	1.48234i	−0.151152	+	0.0550149i
$727$	−19.5154	−	7.10304i	−0.723787	−	0.263437i	−0.0462546	−	0.998930i	$-0.514729\pi$
$727$	−19.5154	−	7.10304i	−0.723787	−	0.263437i	−0.677533	+	0.735493i	$0.736951\pi$
$728$	2.45892	+	2.06328i	0.0911335	+	0.0764701i
$729$	−14.2260	+	24.6401i	−0.526888	+	0.912596i
$730$	−0.280308	−	0.485507i	−0.0103747	−	0.0179694i
$731$	−1.98592	+	11.2627i	−0.0734521	+	0.416567i
$732$	−0.390214	+	2.21301i	−0.0144227	+	0.0817953i
$733$	14.7331	+	25.5184i	0.544179	+	0.942545i	0.998658	+	0.0517877i	$0.0164919\pi$
$733$	14.7331	+	25.5184i	0.544179	+	0.942545i	−0.454480	+	0.890757i	$0.650175\pi$
$734$	−10.8612	+	18.8121i	−0.400893	+	0.694367i
$735$	1.12077	+	0.940437i	0.0413402	+	0.0346885i
$736$	2.06330	+	0.750979i	0.0760542	+	0.0276814i
$737$	−9.17742	+	3.34031i	−0.338054	+	0.123042i
$738$	0.337433	−	0.283140i	0.0124211	−	0.0104225i
$739$	4.63253	+	26.2724i	0.170410	+	0.966446i	0.943309	+	0.331916i	$0.107695\pi$
$739$	4.63253	+	26.2724i	0.170410	+	0.966446i	−0.772898	+	0.634530i	$0.781194\pi$
$740$	−1.44520			−0.0531265
$741$	−9.18520	+	2.35924i	−0.337427	+	0.0866690i
$742$	29.7965			1.09386
$743$	−7.85099	−	44.5252i	−0.288025	−	1.63347i	−0.694276	−	0.719708i	$-0.744275\pi$
$743$	−7.85099	−	44.5252i	−0.288025	−	1.63347i	0.406252	−	0.913761i	$-0.366836\pi$
$744$	7.82608	−	6.56686i	0.286918	−	0.240753i
$745$	−14.2378	+	5.18215i	−0.521634	+	0.189859i
$746$	21.0636	+	7.66651i	0.771192	+	0.280691i
$747$	1.19684	+	1.00427i	0.0437901	+	0.0367443i
$748$	−1.80307	+	3.12302i	−0.0659269	+	0.114189i
$749$	−20.6782	−	35.8156i	−0.755564	−	1.30867i
$750$	0.291357	−	1.65237i	0.0106389	−	0.0603359i
$751$	−0.599478	+	3.39981i	−0.0218753	+	0.124061i	−0.993790	−	0.111273i	$-0.964507\pi$
$751$	−0.599478	+	3.39981i	−0.0218753	+	0.124061i	0.971915	+	0.235334i	$0.0756183\pi$
$752$	5.56394	+	9.63702i	0.202896	+	0.351426i
$753$	−9.63642	+	16.6908i	−0.351171	+	0.608246i
$754$	6.44020	+	5.40397i	0.234538	+	0.196801i
$755$	−5.43856	−	1.97947i	−0.197929	−	0.0720404i
$756$	−12.4303	+	4.52427i	−0.452086	+	0.164546i
$757$	30.9109	−	25.9373i	1.12348	−	0.942708i	0.124701	−	0.992194i	$-0.460203\pi$
$757$	30.9109	−	25.9373i	1.12348	−	0.942708i	0.998775	+	0.0494862i	$0.0157584\pi$
$758$	1.46776	+	8.32410i	0.0533116	+	0.302345i
$759$	10.6883			0.387960
$760$	−1.80104	−	3.96942i	−0.0653306	−	0.143986i
$761$	−12.4450			−0.451132			−0.225566	−	0.974228i	$-0.572423\pi$
$761$	−12.4450			−0.451132			−0.225566	+	0.974228i	$0.572423\pi$
$762$	−0.0381832	−	0.216547i	−0.00138323	−	0.00784469i
$763$	−38.3965	+	32.2185i	−1.39005	+	1.16639i
$764$	20.4774	−	7.45317i	0.740847	−	0.269646i
$765$	−0.215843	−	0.0785604i	−0.00780382	−	0.00284036i
$766$	7.54187	+	6.32838i	0.272499	+	0.228654i
$767$	1.31159	−	2.27174i	0.0473587	−	0.0820277i
$768$	−0.838929	−	1.45307i	−0.0302722	−	0.0524331i
$769$	5.55178	−	31.4857i	0.200202	−	1.13540i	−0.704610	−	0.709594i	$-0.748878\pi$
$769$	5.55178	−	31.4857i	0.200202	−	1.13540i	0.904813	−	0.425810i	$-0.140011\pi$
$770$	−1.24711	+	7.07274i	−0.0449429	+	0.254884i
$771$	−1.55762	−	2.69787i	−0.0560962	−	0.0971615i
$772$	−11.4551	+	19.8409i	−0.412279	+	0.714089i
$773$	−27.0224	−	22.6745i	−0.971929	−	0.815545i	0.0109230	−	0.999940i	$-0.496523\pi$
$773$	−27.0224	−	22.6745i	−0.971929	−	0.815545i	−0.982852	+	0.184395i	$0.940967\pi$
$774$	1.59770	+	0.581515i	0.0574281	+	0.0209021i
$775$	5.72164	−	2.08251i	0.205528	−	0.0748059i
$776$	2.07264	−	1.73915i	0.0744035	−	0.0624320i
$777$	−1.04235	−	5.91144i	−0.0373940	−	0.212072i
$778$	8.51432			0.305253
$779$	−6.04765	+	8.44888i	−0.216679	+	0.302712i
$780$	−2.17563			−0.0779001
$781$	7.65603	+	43.4195i	0.273954	+	1.55367i
$782$	−2.09073	+	1.75433i	−0.0747643	+	0.0627347i
$783$	−32.5565	+	11.8496i	−1.16347	+	0.423470i
$784$	0.819394	+	0.298235i	0.0292641	+	0.0106513i
$785$	8.44100	+	7.08284i	0.301272	+	0.252797i
$786$	10.7399	−	18.6020i	0.383078	−	0.663511i
$787$	19.7471	+	34.2030i	0.703909	+	1.21921i	0.967084	+	0.254458i	$0.0818971\pi$
$787$	19.7471	+	34.2030i	0.703909	+	1.21921i	−0.263175	+	0.964748i	$0.584770\pi$
$788$	−0.860522	+	4.88026i	−0.0306548	+	0.173852i
$789$	2.98743	−	16.9425i	0.106355	−	0.603171i
$790$	−3.24140	−	5.61427i	−0.115324	−	0.199747i
$791$	−20.4782	+	35.4694i	−0.728123	+	1.26115i
$792$	0.410690	+	0.344610i	0.0145932	+	0.0122452i
$793$	1.63190	+	0.593962i	0.0579504	+	0.0210922i
$794$	23.0365	−	8.38460i	0.817535	−	0.297558i
$795$	−15.4708	+	12.9816i	−0.548695	+	0.460409i
$796$	4.27197	+	24.2276i	0.151416	+	0.858724i
$797$	−18.0151			−0.638128			−0.319064	−	0.947733i	$-0.603369\pi$
$797$	−18.0151			−0.638128			−0.319064	+	0.947733i	$0.603369\pi$
$798$	14.9375	−	10.2299i	0.528783	−	0.362135i
$799$	−13.8318			−0.489335
$800$	−0.173648	−	0.984808i	−0.00613939	−	0.0348182i
$801$	1.68456	−	1.41351i	0.0595210	−	0.0499440i
$802$	−4.67444	+	1.70136i	−0.165060	+	0.0600770i
$803$	−1.52837	−	0.556279i	−0.0539348	−	0.0196307i
$804$	4.32681	+	3.63062i	0.152595	+	0.128042i
$805$	−2.71773	+	4.70724i	−0.0957873	+	0.165909i
$806$	−3.94762	−	6.83747i	−0.139049	−	0.240840i
$807$	7.71929	−	43.7783i	0.271732	−	1.54107i
$808$	−0.0204660	+	0.116068i	−0.000719991	+	0.00408327i
$809$	−14.5518	−	25.2045i	−0.511615	−	0.886144i	−0.999909	−	0.0134647i	$-0.995714\pi$
$809$	−14.5518	−	25.2045i	−0.511615	−	0.886144i	0.488294	−	0.872679i	$-0.337619\pi$
$810$	4.20574	−	7.28455i	0.147775	−	0.255953i
$811$	12.3496	+	10.3626i	0.433654	+	0.363879i	0.833328	−	0.552779i	$-0.186432\pi$
$811$	12.3496	+	10.3626i	0.433654	+	0.363879i	−0.399675	+	0.916657i	$0.630877\pi$
$812$	−15.0821	−	5.48943i	−0.529277	−	0.192641i
$813$	−39.2776	+	14.2959i	−1.37753	+	0.501378i
$814$	−3.21186	+	2.69507i	−0.112576	+	0.0944622i
$815$	3.85138	+	21.8423i	0.134908	+	0.765101i
$816$	2.08556			0.0730092
$817$	−39.9142	−	3.90998i	−1.39642	−	0.136793i
$818$	−18.0959			−0.632707
$819$	0.103002	+	0.584152i	0.00359917	+	0.0204119i
$820$	−1.82601	+	1.53221i	−0.0637671	+	0.0535070i
$821$	−27.8660	+	10.1424i	−0.972530	+	0.353972i	−0.778932	−	0.627109i	$-0.784238\pi$
$821$	−27.8660	+	10.1424i	−0.972530	+	0.353972i	−0.193598	+	0.981081i	$0.562016\pi$
$822$	−24.6414	−	8.96874i	−0.859468	−	0.312821i
$823$	−18.1522	−	15.2315i	−0.632746	−	0.530937i	0.269035	−	0.963130i	$-0.413295\pi$
$823$	−18.1522	−	15.2315i	−0.632746	−	0.530937i	−0.901781	+	0.432194i	$0.857740\pi$
$824$	0.870691	−	1.50808i	0.0303320	−	0.0525365i
$825$	−2.43389	−	4.21562i	−0.0847372	−	0.146769i
$826$	−0.869617	+	4.93184i	−0.0302579	+	0.171601i
$827$	6.60682	−	37.4692i	0.229742	−	1.30293i	−0.623668	−	0.781689i	$-0.714358\pi$
$827$	6.60682	−	37.4692i	0.229742	−	1.30293i	0.853410	−	0.521241i	$-0.174531\pi$
$828$	0.202876	+	0.351391i	0.00705042	+	0.0122117i
$829$	−11.9638	+	20.7219i	−0.415520	+	0.719701i	−0.995483	−	0.0949413i	$-0.969734\pi$
$829$	−11.9638	+	20.7219i	−0.415520	+	0.719701i	0.579963	+	0.814643i	$0.303067\pi$
$830$	−6.47667	−	5.43457i	−0.224809	−	0.188637i
$831$	22.6494	+	8.24369i	0.785698	+	0.285971i
$832$	−1.21847	+	0.443488i	−0.0422429	+	0.0153752i
$833$	−0.830288	+	0.696694i	−0.0287678	+	0.0241390i
$834$	3.34482	+	18.9694i	0.115822	+	0.656858i
$835$	17.3882			0.601745
$836$	−11.4051	−	5.46312i	−0.394452	−	0.188946i
$837$	32.5365			1.12463
$838$	1.83747	+	10.4208i	0.0634745	+	0.359982i
$839$	13.6980	−	11.4940i	0.472908	−	0.396817i	−0.374946	−	0.927047i	$-0.622339\pi$
$839$	13.6980	−	11.4940i	0.472908	−	0.396817i	0.847854	+	0.530230i	$0.177894\pi$
$840$	3.90302	−	1.42058i	0.134667	−	0.0490148i
$841$	−12.2507	−	4.45888i	−0.422437	−	0.153755i
$842$	18.5815	+	15.5917i	0.640359	+	0.537325i
$843$	22.5626	−	39.0796i	0.777099	−	1.34597i
$844$	1.83714	+	3.18202i	0.0632369	+	0.109530i
$845$	1.96546	−	11.1467i	0.0676139	−	0.383458i
$846$	−0.357081	+	2.02511i	−0.0122767	+	0.0696246i
$847$	−3.19721	−	5.53773i	−0.109858	−	0.190279i
$848$	−6.01832	+	10.4240i	−0.206670	+	0.357963i
$849$	−25.9184	−	21.7481i	−0.889518	−	0.746394i
$850$	1.16803	+	0.425128i	0.0400631	+	0.0145818i
$851$	−2.98187	+	1.08531i	−0.102217	+	0.0372040i
$852$	19.5329	−	16.3901i	0.669186	−	0.561514i
$853$	6.24081	+	35.3934i	0.213681	+	1.21185i	0.883181	+	0.469033i	$0.155398\pi$
$853$	6.24081	+	35.3934i	0.213681	+	1.21185i	−0.669499	+	0.742813i	$0.733491\pi$
$854$	−3.31541			−0.113451
$855$	0.216543	−	0.775839i	0.00740560	−	0.0265331i
$856$	16.7064			0.571012
$857$	0.925930	+	5.25121i	0.0316292	+	0.179378i	0.996530	−	0.0832376i	$-0.0265260\pi$
$857$	0.925930	+	5.25121i	0.0316292	+	0.179378i	−0.964901	+	0.262615i	$0.915415\pi$
$858$	−4.83521	+	4.05722i	−0.165071	+	0.138511i
$859$	8.81020	−	3.20665i	0.300600	−	0.109410i	−0.187317	−	0.982300i	$-0.559979\pi$
$859$	8.81020	−	3.20665i	0.300600	−	0.109410i	0.487917	+	0.872890i	$0.337757\pi$
$860$	−8.64591	−	3.14685i	−0.294823	−	0.107307i
$861$	−7.58436	−	6.36403i	−0.258474	−	0.216886i
$862$	17.8512	−	30.9192i	0.608015	−	1.05311i
$863$	2.64200	+	4.57608i	0.0899348	+	0.155772i	0.907483	−	0.420088i	$-0.138001\pi$
$863$	2.64200	+	4.57608i	0.0899348	+	0.155772i	−0.817549	+	0.575860i	$0.804667\pi$
$864$	0.927912	−	5.26245i	0.0315682	−	0.179032i
$865$	−0.373025	+	2.11553i	−0.0126832	+	0.0719302i
$866$	16.5340	+	28.6378i	0.561849	+	0.973151i
$867$	12.9656	−	22.4571i	0.440336	−	0.762684i
$868$	11.5465	+	9.68864i	0.391913	+	0.328854i
$869$	−17.6736	−	6.43265i	−0.599535	−	0.218213i
$870$	10.2225	−	3.72068i	0.346575	−	0.126143i
$871$	3.34382	−	2.80580i	0.113301	−	0.0950707i
$872$	−3.51599	−	19.9402i	−0.119066	−	0.675260i
$873$	0.499982			0.0169218
$874$	−6.69703	−	6.83754i	−0.226530	−	0.231283i
$875$	2.47548			0.0836866
$876$	0.163339	+	0.926343i	0.00551872	+	0.0312982i
$877$	38.6673	−	32.4457i	1.30570	−	1.09561i	0.316572	−	0.948569i	$-0.397468\pi$
$877$	38.6673	−	32.4457i	1.30570	−	1.09561i	0.989130	−	0.147045i	$-0.0469763\pi$
$878$	5.55555	−	2.02205i	0.187491	−	0.0682410i
$879$	−31.5319	−	11.4767i	−1.06354	−	0.387098i
$880$	−2.22244	−	1.86485i	−0.0749184	−	0.0628640i
$881$	−10.2170	+	17.6964i	−0.344221	+	0.596208i	−0.985212	−	0.171340i	$-0.945190\pi$
$881$	−10.2170	+	17.6964i	−0.344221	+	0.596208i	0.640991	+	0.767549i	$0.278524\pi$
$882$	0.0805678	+	0.139548i	0.00271286	+	0.00469881i
$883$	0.0219697	−	0.124596i	0.000739339	−	0.00419300i	−0.984436	−	0.175744i	$-0.943767\pi$
$883$	0.0219697	−	0.124596i	0.000739339	−	0.00419300i	0.985175	+	0.171551i	$0.0548779\pi$
$884$	0.279877	−	1.58726i	0.00941329	−	0.0533854i
$885$	−1.69716	−	2.93957i	−0.0570494	−	0.0988125i
$886$	5.91634	−	10.2474i	0.198763	−	0.344268i
$887$	−19.8231	−	16.6336i	−0.665594	−	0.558500i	0.246163	−	0.969228i	$-0.420830\pi$
$887$	−19.8231	−	16.6336i	−0.665594	−	0.558500i	−0.911758	+	0.410728i	$0.865274\pi$
$888$	2.27860	+	0.829342i	0.0764648	+	0.0278309i
$889$	0.304854	−	0.110958i	0.0102245	−	0.00372141i
$890$	−9.11595	+	7.64919i	−0.305567	+	0.256401i
$891$	−4.23758	−	24.0325i	−0.141964	−	0.805120i
$892$	7.45336			0.249557
$893$	−3.72565	−	48.3620i	−0.124674	−	1.61837i
$894$	25.4222			0.850247
$895$	1.80278	+	10.2241i	0.0602602	+	0.341753i
$896$	1.89633	−	1.59121i	0.0633520	−	0.0531586i
$897$	−4.48897	+	1.63385i	−0.149882	+	0.0545527i
$898$	−7.12658	−	2.59386i	−0.237817	−	0.0865583i
$899$	30.2416	+	25.3757i	1.00861	+	0.846327i
$900$	0.0923963	−	0.160035i	0.00307988	−	0.00533450i
$901$	−7.48071	−	12.9570i	−0.249218	−	0.431659i
$902$	−1.20087	+	6.81047i	−0.0399846	+	0.226764i
$903$	6.63606	−	37.6350i	0.220834	−	1.25241i
$904$	−8.27242	−	14.3283i	−0.275137	−	0.476551i
$905$	−8.32282	+	14.4155i	−0.276660	+	0.479189i
$906$	7.43887	+	6.24195i	0.247140	+	0.207375i
$907$	50.6020	+	18.4176i	1.68021	+	0.611547i	0.993339	−	0.115229i	$-0.0367602\pi$
$907$	50.6020	+	18.4176i	1.68021	+	0.611547i	0.686874	+	0.726777i	$0.258982\pi$
$908$	10.7281	−	3.90473i	0.356026	−	0.129583i
$909$	−0.0166840	+	0.0139996i	−0.000553374	+	0.000464336i
$910$	−0.557391	−	3.16112i	−0.0184773	−	0.104790i
$911$	2.63989			0.0874634			0.0437317	−	0.999043i	$-0.486075\pi$
$911$	2.63989			0.0874634			0.0437317	+	0.999043i	$0.486075\pi$
$912$	0.561752	+	7.29201i	0.0186015	+	0.241463i
$913$	−24.5287			−0.811781
$914$	−2.26812	−	12.8631i	−0.0750227	−	0.425475i
$915$	1.72142	−	1.44444i	0.0569083	−	0.0477517i
$916$	3.00074	−	1.09218i	0.0991474	−	0.0360867i
$917$	29.7796	+	10.8389i	0.983410	+	0.357932i
$918$	5.08813	+	4.26945i	0.167933	+	0.140913i
$919$	15.6083	−	27.0343i	0.514869	−	0.891779i	−0.484982	−	0.874524i	$-0.661174\pi$
$919$	15.6083	−	27.0343i	0.514869	−	0.891779i	0.999851	−	0.0172553i	$-0.00549282\pi$
$920$	−1.09786	−	1.90155i	−0.0361953	−	0.0626921i
$921$	−5.65286	+	32.0589i	−0.186268	+	1.05638i
$922$	5.42530	−	30.7684i	0.178673	−	1.01330i
$923$	−9.85275	−	17.0655i	−0.324307	−	0.561717i
$924$	6.02506	−	10.4357i	0.198210	−	0.343310i
$925$	1.10708	+	0.928954i	0.0364007	+	0.0305438i
$926$	−13.1215	−	4.77583i	−0.431199	−	0.156944i
$927$	0.302388	−	0.110060i	0.00993172	−	0.00361485i
$928$	4.96672	−	4.16757i	0.163040	−	0.136807i
$929$	0.849031	+	4.81509i	0.0278558	+	0.157978i	0.995563	−	0.0940997i	$-0.0299972\pi$
$929$	0.849031	+	4.81509i	0.0278558	+	0.157978i	−0.967707	+	0.252078i	$0.918886\pi$
$930$	−10.2162			−0.335003
$931$	−2.65958	−	2.71538i	−0.0871642	−	0.0889931i
$932$	−23.2991			−0.763187
$933$	1.57303	+	8.92110i	0.0514987	+	0.292064i
$934$	9.04471	−	7.58941i	0.295952	−	0.248333i
$935$	3.38867	−	1.23338i	0.110821	−	0.0403357i
$936$	−0.225165	−	0.0819532i	−0.00735974	−	0.00267872i
$937$	6.09056	+	5.11059i	0.198970	+	0.166956i	0.736829	−	0.676079i	$-0.236322\pi$
$937$	6.09056	+	5.11059i	0.198970	+	0.166956i	−0.537859	+	0.843035i	$0.680767\pi$
$938$	−4.16667	+	7.21688i	−0.136046	+	0.235639i
$939$	13.5767	+	23.5155i	0.443059	+	0.767401i
$940$	1.93233	−	10.9588i	0.0630258	−	0.357437i
$941$	−4.40739	+	24.9956i	−0.143677	+	0.814832i	0.824743	+	0.565508i	$0.191320\pi$
$941$	−4.40739	+	24.9956i	−0.143677	+	0.814832i	−0.968420	+	0.249325i	$0.919791\pi$
$942$	−9.24411	−	16.0113i	−0.301189	−	0.521675i
$943$	−2.61695	+	4.53269i	−0.0852197	+	0.147605i
$944$	−1.54971	−	1.30037i	−0.0504389	−	0.0423233i
$945$	12.4303	+	4.52427i	0.404358	+	0.147174i
$946$	−25.0834	+	9.12962i	−0.815532	+	0.296829i
$947$	−22.6940	+	19.0425i	−0.737456	+	0.618799i	−0.932153	−	0.362064i	$-0.882072\pi$
$947$	−22.6940	+	19.0425i	−0.737456	+	0.618799i	0.194697	+	0.980863i	$0.437628\pi$
$948$	1.88881	+	10.7120i	0.0613456	+	0.347908i
$949$	0.726934			0.0235973
$950$	−1.17181	+	4.19843i	−0.0380187	+	0.136215i
$951$	−4.11233			−0.133351
$952$	0.534316	+	3.03025i	0.0173173	+	0.0982111i
$953$	11.4866	−	9.63837i	0.372086	−	0.312217i	−0.437500	−	0.899218i	$-0.644136\pi$
$953$	11.4866	−	9.63837i	0.372086	−	0.312217i	0.809586	+	0.587001i	$0.199692\pi$
$954$	−2.09014	+	0.760748i	−0.0676708	+	0.0246301i
$955$	−20.4774	−	7.45317i	−0.662634	−	0.241179i
$956$	−6.29848	−	5.28505i	−0.203707	−	0.170931i
$957$	15.7803	−	27.3324i	0.510106	−	0.883530i
$958$	−16.0259	−	27.7577i	−0.517774	−	0.896811i
$959$	6.71823	−	38.1010i	0.216943	−	1.23034i
$960$	−0.291357	+	1.65237i	−0.00940351	+	0.0533299i
$961$	−3.03703	−	5.26029i	−0.0979688	−	0.169687i
$962$	0.936972	−	1.62288i	0.0302092	−	0.0523239i
$963$	2.36494	+	1.98442i	0.0762092	+	0.0639471i
$964$	−19.5747	−	7.12460i	−0.630458	−	0.229468i
$965$	21.5286	−	7.83577i	0.693030	−	0.252242i
$966$	6.98627	−	5.86218i	0.224779	−	0.188612i
$967$	2.41259	+	13.6825i	0.0775835	+	0.439998i	0.998712	+	0.0507392i	$0.0161577\pi$
$967$	2.41259	+	13.6825i	0.0775835	+	0.439998i	−0.921128	+	0.389259i	$0.872731\pi$
$968$	2.58310			0.0830240
$969$	−8.19869	−	3.92724i	−0.263380	−	0.126161i
$970$	−2.70564			−0.0868729
$971$	−2.47187	−	14.0186i	−0.0793260	−	0.449880i	−0.998437	−	0.0558821i	$-0.982203\pi$
$971$	−2.47187	−	14.0186i	−0.0793260	−	0.449880i	0.919111	−	0.393998i	$-0.128908\pi$
$972$	1.46899	−	1.23263i	0.0471179	−	0.0395366i
$973$	−26.7051	+	9.71985i	−0.856125	+	0.311604i
$974$	−16.4207	−	5.97664i	−0.526152	−	0.191504i
$975$	1.66663	+	1.39847i	0.0533749	+	0.0447868i
$976$	0.669649	−	1.15987i	0.0214349	−	0.0371264i
$977$	−4.12547	−	7.14552i	−0.131985	−	0.228606i	0.792456	−	0.609929i	$-0.208802\pi$
$977$	−4.12547	−	7.14552i	−0.131985	−	0.228606i	−0.924442	+	0.381323i	$0.875469\pi$
$978$	6.46207	−	36.6482i	0.206634	−	1.17188i
$979$	−5.99507	+	33.9997i	−0.191603	+	1.08664i
$980$	−0.435991	−	0.755158i	−0.0139272	−	0.0241226i
$981$	1.87082	−	3.24035i	0.0597307	−	0.103457i
$982$	1.62811	+	1.36614i	0.0519549	+	0.0435954i
$983$	−12.3437	−	4.49274i	−0.393703	−	0.143296i	0.137580	−	0.990491i	$-0.456068\pi$
$983$	−12.3437	−	4.49274i	−0.393703	−	0.143296i	−0.531283	+	0.847194i	$0.678290\pi$
$984$	3.75829	−	1.36791i	0.119810	−	0.0436073i
$985$	3.79617	−	3.18537i	0.120956	−	0.101494i
$986$	1.39944	+	7.93660i	0.0445671	+	0.252753i
$987$	46.2197			1.47119
$988$	5.62513	+	0.551036i	0.178959	+	0.0175308i
$989$	−20.2023			−0.642396
$990$	−0.0930959	−	0.527973i	−0.00295878	−	0.0167801i
$991$	−19.4973	+	16.3602i	−0.619352	+	0.519698i	−0.897600	−	0.440811i	$-0.854691\pi$
$991$	−19.4973	+	16.3602i	−0.619352	+	0.519698i	0.278248	+	0.960509i	$0.410246\pi$
$992$	−5.72164	+	2.08251i	−0.181662	+	0.0661197i
$993$	−4.78716	−	1.74238i	−0.151916	−	0.0552929i
$994$	28.8185	+	24.1816i	0.914068	+	0.766994i
$995$	12.3007	−	21.3054i	0.389957	−	0.675426i
$996$	7.09289	+	12.2852i	0.224747	+	0.389273i
$997$	3.90784	−	22.1625i	0.123763	−	0.701892i	−0.858273	−	0.513194i	$-0.828462\pi$
$997$	3.90784	−	22.1625i	0.123763	−	0.701892i	0.982035	−	0.188698i	$-0.0604268\pi$
$998$	−6.31789	+	35.8305i	−0.199989	+	1.13420i
$999$	3.86130	+	6.68796i	0.122166	+	0.211598i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	190.2.k.b.161.2	yes	12
5.2	odd	4		950.2.u.e.199.3		24
5.3	odd	4		950.2.u.e.199.2		24
5.4	even	2		950.2.l.h.351.1		12
19.6	even	9		3610.2.a.bc.1.5		6
19.13	odd	18		3610.2.a.be.1.2		6
19.17	even	9	inner	190.2.k.b.131.2	✓	12
95.17	odd	36		950.2.u.e.549.2		24
95.74	even	18		950.2.l.h.701.1		12
95.93	odd	36		950.2.u.e.549.3		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
190.2.k.b.131.2	✓	12	19.17	even	9	inner
190.2.k.b.161.2	yes	12	1.1	even	1	trivial
950.2.l.h.351.1		12	5.4	even	2
950.2.l.h.701.1		12	95.74	even	18
950.2.u.e.199.2		24	5.3	odd	4
950.2.u.e.199.3		24	5.2	odd	4
950.2.u.e.549.2		24	95.17	odd	36
950.2.u.e.549.3		24	95.93	odd	36
3610.2.a.bc.1.5		6	19.6	even	9
3610.2.a.be.1.2		6	19.13	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:	\( N \)	\(=\)	\( 190 = 2 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	190.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 - 0.984808i) q^{2} +(1.28531 - 1.07851i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(-1.28531 - 1.07851i) q^{6} +(1.23774 - 2.14383i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.0320889 + 0.181985i) q^{9} +O(q^{10})\)	\(q+(-0.173648 - 0.984808i) q^{2} +(1.28531 - 1.07851i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(-1.28531 - 1.07851i) q^{6} +(1.23774 - 2.14383i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.0320889 + 0.181985i) q^{9} +(0.173648 - 0.984808i) q^{10} +(-1.45059 - 2.51250i) q^{11} +(-0.838929 + 1.45307i) q^{12} +(0.993308 + 0.833484i) q^{13} +(-2.32619 - 0.846665i) q^{14} +(1.57667 - 0.573861i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.215843 + 1.22411i) q^{17} +0.184793 q^{18} +(-4.22186 + 1.08440i) q^{19} -1.00000 q^{20} +(-0.721249 - 4.09041i) q^{21} +(-2.22244 + 1.86485i) q^{22} +(-2.06330 + 0.750979i) q^{23} +(1.57667 + 0.573861i) q^{24} +(0.766044 + 0.642788i) q^{25} +(0.648336 - 1.12295i) q^{26} +(2.67181 + 4.62772i) q^{27} +(-0.429863 + 2.43788i) q^{28} +(-1.12586 + 6.38509i) q^{29} +(-0.838929 - 1.45307i) q^{30} +(3.04442 - 5.27310i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-4.57422 - 1.66488i) q^{33} +(1.16803 - 0.425128i) q^{34} +(1.89633 - 1.59121i) q^{35} +(-0.0320889 - 0.181985i) q^{36} +1.44520 q^{37} +(1.80104 + 3.96942i) q^{38} +2.17563 q^{39} +(0.173648 + 0.984808i) q^{40} +(1.82601 - 1.53221i) q^{41} +(-3.90302 + 1.42058i) q^{42} +(8.64591 + 3.14685i) q^{43} +(2.22244 + 1.86485i) q^{44} +(-0.0923963 + 0.160035i) q^{45} +(1.09786 + 1.90155i) q^{46} +(-1.93233 + 10.9588i) q^{47} +(0.291357 - 1.65237i) q^{48} +(0.435991 + 0.755158i) q^{49} +(0.500000 - 0.866025i) q^{50} +(1.59763 + 1.34057i) q^{51} +(-1.21847 - 0.443488i) q^{52} +(-11.3107 + 4.11677i) q^{53} +(4.09346 - 3.43482i) q^{54} +(-0.503786 - 2.85711i) q^{55} +2.47548 q^{56} +(-4.25688 + 5.94709i) q^{57} +6.48359 q^{58} +(-0.351292 - 1.99228i) q^{59} +(-1.28531 + 1.07851i) q^{60} +(1.25853 - 0.458067i) q^{61} +(-5.72164 - 2.08251i) q^{62} +(0.350428 + 0.294044i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.648336 + 1.12295i) q^{65} +(-0.845282 + 4.79383i) q^{66} +(0.584560 - 3.31520i) q^{67} +(-0.621495 - 1.07646i) q^{68} +(-1.84205 + 3.19052i) q^{69} +(-1.89633 - 1.59121i) q^{70} +(-14.2805 - 5.19768i) q^{71} +(-0.173648 + 0.0632028i) q^{72} +(0.429457 - 0.360357i) q^{73} +(-0.250956 - 1.42324i) q^{74} +1.67786 q^{75} +(3.59636 - 2.46296i) q^{76} -7.18185 q^{77} +(-0.377794 - 2.14258i) q^{78} +(4.96611 - 4.16706i) q^{79} +(0.939693 - 0.342020i) q^{80} +(7.90420 + 2.87689i) q^{81} +(-1.82601 - 1.53221i) q^{82} +(4.22735 - 7.32198i) q^{83} +(2.07675 + 3.59705i) q^{84} +(-0.215843 + 1.22411i) q^{85} +(1.59770 - 9.06100i) q^{86} +(5.43927 + 9.42109i) q^{87} +(1.45059 - 2.51250i) q^{88} +(-9.11595 - 7.64919i) q^{89} +(0.173648 + 0.0632028i) q^{90} +(3.01631 - 1.09785i) q^{91} +(1.68202 - 1.41138i) q^{92} +(-1.77403 - 10.0610i) q^{93} +11.1279 q^{94} +(-4.33813 - 0.424962i) q^{95} -1.67786 q^{96} +(-0.469830 - 2.66454i) q^{97} +(0.667976 - 0.560499i) q^{98} +(0.503786 - 0.183363i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{7} + 6 q^{8} + 18 q^{9}+O(q^{10}) \) 12 * q + 6 * q^7 + 6 * q^8 + 18 * q^9	\( 12 q + 6 q^{7} + 6 q^{8} + 18 q^{9} + 6 q^{11} + 6 q^{13} - 18 q^{17} - 12 q^{18} - 12 q^{20} + 12 q^{21} - 6 q^{22} - 30 q^{23} - 6 q^{29} + 6 q^{31} - 24 q^{33} + 18 q^{36} + 36 q^{37} + 18 q^{38} - 36 q^{39} - 6 q^{41} - 30 q^{42} + 6 q^{44} + 6 q^{45} - 12 q^{46} - 6 q^{47} - 18 q^{49} + 6 q^{50} - 12 q^{52} - 12 q^{53} + 12 q^{55} + 12 q^{56} - 18 q^{57} - 36 q^{58} - 24 q^{59} - 30 q^{61} - 6 q^{62} + 18 q^{63} - 6 q^{64} + 24 q^{66} + 12 q^{67} + 12 q^{68} + 6 q^{69} - 42 q^{71} + 6 q^{73} + 6 q^{74} + 18 q^{76} - 24 q^{77} + 48 q^{78} + 60 q^{79} + 18 q^{81} + 6 q^{82} + 24 q^{83} - 24 q^{84} + 18 q^{85} - 36 q^{86} + 54 q^{87} - 6 q^{88} - 12 q^{89} + 24 q^{91} + 24 q^{92} + 6 q^{93} + 60 q^{94} + 30 q^{97} + 36 q^{98} - 12 q^{99}+O(q^{100}) \) 12 * q + 6 * q^7 + 6 * q^8 + 18 * q^9 + 6 * q^11 + 6 * q^13 - 18 * q^17 - 12 * q^18 - 12 * q^20 + 12 * q^21 - 6 * q^22 - 30 * q^23 - 6 * q^29 + 6 * q^31 - 24 * q^33 + 18 * q^36 + 36 * q^37 + 18 * q^38 - 36 * q^39 - 6 * q^41 - 30 * q^42 + 6 * q^44 + 6 * q^45 - 12 * q^46 - 6 * q^47 - 18 * q^49 + 6 * q^50 - 12 * q^52 - 12 * q^53 + 12 * q^55 + 12 * q^56 - 18 * q^57 - 36 * q^58 - 24 * q^59 - 30 * q^61 - 6 * q^62 + 18 * q^63 - 6 * q^64 + 24 * q^66 + 12 * q^67 + 12 * q^68 + 6 * q^69 - 42 * q^71 + 6 * q^73 + 6 * q^74 + 18 * q^76 - 24 * q^77 + 48 * q^78 + 60 * q^79 + 18 * q^81 + 6 * q^82 + 24 * q^83 - 24 * q^84 + 18 * q^85 - 36 * q^86 + 54 * q^87 - 6 * q^88 - 12 * q^89 + 24 * q^91 + 24 * q^92 + 6 * q^93 + 60 * q^94 + 30 * q^97 + 36 * q^98 - 12 * q^99

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