LMFDB - Embedded newform 124.3.n.a.7.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [124,3,Mod(7,124)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(124, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 28]))

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

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

chi := DirichletCharacter("124.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 124 = 2^{2} \cdot 31 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	124.n (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.37875527807$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			7.6
Character	$\chi$	$=$	124.7
Dual form			124.3.n.a.71.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.73916 - 0.987589i) q^{2} +(-0.272138 - 1.28031i) q^{3} +(2.04934 + 3.43515i) q^{4} +(2.35737 - 4.08308i) q^{5} +(-0.791127 + 2.49542i) q^{6} +(-1.03353 + 2.32136i) q^{7} +(-0.171606 - 7.99816i) q^{8} +(6.65678 - 2.96379i) q^{9} +O(q^{10})$	\(q+(-1.73916 - 0.987589i) q^{2} +(-0.272138 - 1.28031i) q^{3} +(2.04934 + 3.43515i) q^{4} +(2.35737 - 4.08308i) q^{5} +(-0.791127 + 2.49542i) q^{6} +(-1.03353 + 2.32136i) q^{7} +(-0.171606 - 7.99816i) q^{8} +(6.65678 - 2.96379i) q^{9} +(-8.13224 + 4.77301i) q^{10} +(2.52616 - 0.265510i) q^{11} +(3.84034 - 3.55861i) q^{12} +(-9.44014 - 10.4843i) q^{13} +(4.09003 - 3.01650i) q^{14} +(-5.86913 - 1.90699i) q^{15} +(-7.60044 + 14.0795i) q^{16} +(1.65211 - 15.7188i) q^{17} +(-14.5042 - 1.41967i) q^{18} +(-25.0746 - 22.5773i) q^{19} +(18.8570 - 0.269705i) q^{20} +(3.25331 + 0.691513i) q^{21} +(-4.65561 - 2.03304i) q^{22} +(4.19670 - 5.77627i) q^{23} +(-10.1934 + 2.39631i) q^{24} +(1.38563 + 2.39999i) q^{25} +(6.06367 + 27.5569i) q^{26} +(-12.5303 - 17.2465i) q^{27} +(-10.0923 + 1.20690i) q^{28} +(9.31810 + 28.6782i) q^{29} +(8.32401 + 9.11285i) q^{30} +(29.3237 - 10.0558i) q^{31} +(27.1232 - 16.9804i) q^{32} +(-1.02740 - 3.16201i) q^{33} +(-18.3970 + 25.7058i) q^{34} +(7.04187 + 9.69230i) q^{35} +(23.8230 + 16.7932i) q^{36} +(9.60359 + 16.6339i) q^{37} +(21.3116 + 64.0289i) q^{38} +(-10.8542 + 14.9395i) q^{39} +(-33.0617 - 18.1539i) q^{40} +(41.4123 + 8.80247i) q^{41} +(-4.97509 - 4.41559i) q^{42} +(14.1821 + 12.7697i) q^{43} +(6.08902 + 8.13361i) q^{44} +(3.59109 - 34.1669i) q^{45} +(-13.0033 + 5.90122i) q^{46} +(-19.0062 - 6.17550i) q^{47} +(20.0945 + 5.89933i) q^{48} +(28.4669 + 31.6157i) q^{49} +(-0.0396333 - 5.54239i) q^{50} +(-20.5745 + 2.16246i) q^{51} +(16.6692 - 53.9142i) q^{52} +(17.8588 - 7.95125i) q^{53} +(4.75975 + 42.3693i) q^{54} +(4.87099 - 10.9404i) q^{55} +(18.7439 + 7.86801i) q^{56} +(-22.0821 + 38.2474i) q^{57} +(12.1166 - 59.0783i) q^{58} +(9.60418 + 45.1841i) q^{59} +(-5.47701 - 24.0694i) q^{60} -103.305 q^{61} +(-60.9296 - 11.4712i) q^{62} +18.5159i q^{63} +(-63.9411 + 2.74507i) q^{64} +(-65.0623 + 13.8294i) q^{65} +(-1.33596 + 6.51387i) q^{66} +(6.13504 + 3.54207i) q^{67} +(57.3820 - 26.5378i) q^{68} +(-8.53748 - 3.80113i) q^{69} +(-2.67491 - 23.8109i) q^{70} +(35.6059 + 79.9721i) q^{71} +(-24.8472 - 52.7334i) q^{72} +(-4.98395 - 47.4191i) q^{73} +(-0.274692 - 38.4134i) q^{74} +(2.69564 - 2.42716i) q^{75} +(26.1700 - 132.404i) q^{76} +(-1.99453 + 6.13853i) q^{77} +(33.6311 - 15.2626i) q^{78} +(74.8178 + 7.86367i) q^{79} +(39.5708 + 64.2239i) q^{80} +(25.2112 - 27.9999i) q^{81} +(-63.3294 - 56.2072i) q^{82} +(23.6096 - 111.075i) q^{83} +(4.29168 + 12.5927i) q^{84} +(-60.2864 - 43.8007i) q^{85} +(-12.0538 - 36.2146i) q^{86} +(34.1810 - 19.7344i) q^{87} +(-2.55710 - 20.1591i) q^{88} +(2.73658 - 1.98824i) q^{89} +(-39.9883 + 55.8751i) q^{90} +(34.0946 - 11.0780i) q^{91} +(28.4428 + 2.57877i) q^{92} +(-20.8546 - 34.8068i) q^{93} +(26.9560 + 29.5105i) q^{94} +(-151.295 + 49.1588i) q^{95} +(-29.1214 - 30.1050i) q^{96} +(-49.3822 + 35.8783i) q^{97} +(-18.2851 - 83.0983i) q^{98} +(16.0292 - 9.25445i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9}+O(q^{10}) $ 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9	$ 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9} - 4 q^{10} + 27 q^{12} - 26 q^{13} + 10 q^{14} + 46 q^{16} - 18 q^{17} - 11 q^{18} + 143 q^{20} + 90 q^{21} + 77 q^{22} - 54 q^{24} - 464 q^{25} - 27 q^{26} - 52 q^{28} - 12 q^{29} + 206 q^{30} + 154 q^{32} + 72 q^{33} - 168 q^{34} + 23 q^{36} - 48 q^{37} - 78 q^{38} + 85 q^{40} - 18 q^{41} - 91 q^{42} - 493 q^{44} - 30 q^{45} + 198 q^{46} - 314 q^{48} + 48 q^{49} - 563 q^{50} - 551 q^{52} + 46 q^{53} - 600 q^{54} - 90 q^{56} - 44 q^{57} - 125 q^{58} - 77 q^{60} + 208 q^{61} - 17 q^{62} - 529 q^{64} + 132 q^{65} + 788 q^{66} + 364 q^{68} + 36 q^{69} + 586 q^{70} + 1113 q^{72} + 214 q^{73} + 351 q^{74} + 824 q^{76} + 456 q^{77} + 123 q^{78} + 410 q^{80} + 90 q^{81} - 718 q^{82} - 412 q^{84} + 394 q^{85} + 680 q^{86} - 141 q^{88} + 12 q^{89} + 193 q^{90} - 520 q^{92} + 82 q^{93} - 876 q^{94} + 888 q^{96} - 548 q^{97} + 32 q^{98}+O(q^{100}) $ 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9 - 4 * q^10 + 27 * q^12 - 26 * q^13 + 10 * q^14 + 46 * q^16 - 18 * q^17 - 11 * q^18 + 143 * q^20 + 90 * q^21 + 77 * q^22 - 54 * q^24 - 464 * q^25 - 27 * q^26 - 52 * q^28 - 12 * q^29 + 206 * q^30 + 154 * q^32 + 72 * q^33 - 168 * q^34 + 23 * q^36 - 48 * q^37 - 78 * q^38 + 85 * q^40 - 18 * q^41 - 91 * q^42 - 493 * q^44 - 30 * q^45 + 198 * q^46 - 314 * q^48 + 48 * q^49 - 563 * q^50 - 551 * q^52 + 46 * q^53 - 600 * q^54 - 90 * q^56 - 44 * q^57 - 125 * q^58 - 77 * q^60 + 208 * q^61 - 17 * q^62 - 529 * q^64 + 132 * q^65 + 788 * q^66 + 364 * q^68 + 36 * q^69 + 586 * q^70 + 1113 * q^72 + 214 * q^73 + 351 * q^74 + 824 * q^76 + 456 * q^77 + 123 * q^78 + 410 * q^80 + 90 * q^81 - 718 * q^82 - 412 * q^84 + 394 * q^85 + 680 * q^86 - 141 * q^88 + 12 * q^89 + 193 * q^90 - 520 * q^92 + 82 * q^93 - 876 * q^94 + 888 * q^96 - 548 * q^97 + 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/124\mathbb{Z}\right)^\times$.

$n$	$63$	$65$
$\chi(n)$	$-1$	$e\left(\frac{14}{15}\right)$

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 $

$2$	−1.73916	−	0.987589i	−0.869579	−	0.493794i
$2$	−1.73916	−	0.987589i	−0.869579	−	0.493794i
$3$	−0.272138	−	1.28031i	−0.0907125	−	0.426769i	−0.999945	−	0.0104804i	$-0.996664\pi$
$3$	−0.272138	−	1.28031i	−0.0907125	−	0.426769i	0.909233	−	0.416289i	$-0.136669\pi$
$4$	2.04934	+	3.43515i	0.512334	+	0.858786i
$5$	2.35737	−	4.08308i	0.471474	−	0.816616i	−0.527994	−	0.849248i	$-0.677056\pi$
$5$	2.35737	−	4.08308i	0.471474	−	0.816616i	0.999467	+	0.0326320i	$0.0103889\pi$
$6$	−0.791127	+	2.49542i	−0.131854	+	0.415903i
$7$	−1.03353	+	2.32136i	−0.147648	+	0.331622i	−0.972196	−	0.234170i	$-0.924763\pi$
$7$	−1.03353	+	2.32136i	−0.147648	+	0.331622i	0.824548	+	0.565792i	$0.191430\pi$
$8$	−0.171606	−	7.99816i	−0.0214508	−	0.999770i
$9$	6.65678	−	2.96379i	0.739642	−	0.329310i
$10$	−8.13224	+	4.77301i	−0.813224	+	0.477301i
$11$	2.52616	−	0.265510i	0.229651	−	0.0241373i	0.0109961	−	0.999940i	$-0.496500\pi$
$11$	2.52616	−	0.265510i	0.229651	−	0.0241373i	0.218655	+	0.975802i	$0.429833\pi$
$12$	3.84034	−	3.55861i	0.320028	−	0.296551i
$13$	−9.44014	−	10.4843i	−0.726165	−	0.806488i	0.261144	−	0.965300i	$-0.415900\pi$
$13$	−9.44014	−	10.4843i	−0.726165	−	0.806488i	−0.987309	+	0.158812i	$0.949234\pi$
$14$	4.09003	−	3.01650i	0.292145	−	0.215464i
$15$	−5.86913	−	1.90699i	−0.391275	−	0.127133i
$16$	−7.60044	+	14.0795i	−0.475028	+	0.879971i
$17$	1.65211	−	15.7188i	0.0971830	−	0.924634i	−0.831941	−	0.554865i	$-0.812770\pi$
$17$	1.65211	−	15.7188i	0.0971830	−	0.924634i	0.929124	−	0.369769i	$-0.120563\pi$
$18$	−14.5042	−	1.41967i	−0.805789	−	0.0788704i
$19$	−25.0746	−	22.5773i	−1.31972	−	1.18828i	−0.967647	−	0.252306i	$-0.918811\pi$
$19$	−25.0746	−	22.5773i	−1.31972	−	1.18828i	−0.352071	−	0.935973i	$-0.614522\pi$
$20$	18.8570	−	0.269705i	0.942851	−	0.0134852i
$21$	3.25331	+	0.691513i	0.154920	+	0.0329292i
$22$	−4.65561	−	2.03304i	−0.211618	−	0.0924111i
$23$	4.19670	−	5.77627i	0.182465	−	0.251142i	−0.707980	−	0.706233i	$-0.750393\pi$
$23$	4.19670	−	5.77627i	0.182465	−	0.251142i	0.890445	+	0.455091i	$0.150393\pi$
$24$	−10.1934	+	2.39631i	−0.424725	+	0.0998462i
$25$	1.38563	+	2.39999i	0.0554253	+	0.0959995i
$26$	6.06367	+	27.5569i	0.233218	+	1.05988i
$27$	−12.5303	−	17.2465i	−0.464087	−	0.638761i
$28$	−10.0923	+	1.20690i	−0.360438	+	0.0431035i
$29$	9.31810	+	28.6782i	0.321314	+	0.988902i	0.973077	+	0.230480i	$0.0740296\pi$
$29$	9.31810	+	28.6782i	0.321314	+	0.988902i	−0.651763	+	0.758422i	$0.725970\pi$
$30$	8.32401	+	9.11285i	0.277467	+	0.303762i
$31$	29.3237	−	10.0558i	0.945927	−	0.324381i
$31$	29.3237	−	10.0558i	0.945927	−	0.324381i
$32$	27.1232	−	16.9804i	0.847599	−	0.530638i
$33$	−1.02740	−	3.16201i	−0.0311333	−	0.0958184i
$34$	−18.3970	+	25.7058i	−0.541088	+	0.756054i
$35$	7.04187	+	9.69230i	0.201196	+	0.276923i
$36$	23.8230	+	16.7932i	0.661751	+	0.466478i
$37$	9.60359	+	16.6339i	0.259556	+	0.449565i	0.966123	−	0.258081i	$-0.0830903\pi$
$37$	9.60359	+	16.6339i	0.259556	+	0.449565i	−0.706567	+	0.707646i	$0.749757\pi$
$38$	21.3116	+	64.0289i	0.560833	+	1.68497i
$39$	−10.8542	+	14.9395i	−0.278312	+	0.383063i
$40$	−33.0617	−	18.1539i	−0.826542	−	0.453848i
$41$	41.4123	+	8.80247i	1.01006	+	0.214694i	0.683084	−	0.730339i	$-0.260638\pi$
$41$	41.4123	+	8.80247i	1.01006	+	0.214694i	0.326973	+	0.945034i	$0.393971\pi$
$42$	−4.97509	−	4.41559i	−0.118455	−	0.105133i
$43$	14.1821	+	12.7697i	0.329817	+	0.296969i	0.817356	−	0.576132i	$-0.195439\pi$
$43$	14.1821	+	12.7697i	0.329817	+	0.296969i	−0.487539	+	0.873101i	$0.662105\pi$
$44$	6.08902	+	8.13361i	0.138387	+	0.184855i
$45$	3.59109	−	34.1669i	0.0798020	−	0.759265i
$46$	−13.0033	+	5.90122i	−0.282681	+	0.128287i
$47$	−19.0062	−	6.17550i	−0.404388	−	0.131394i	0.0997588	−	0.995012i	$-0.468193\pi$
$47$	−19.0062	−	6.17550i	−0.404388	−	0.131394i	−0.504147	+	0.863618i	$0.668193\pi$
$48$	20.0945	+	5.89933i	0.418635	+	0.122903i
$49$	28.4669	+	31.6157i	0.580957	+	0.645218i
$50$	−0.0396333	−	5.54239i	−0.000792666	−	0.110848i
$51$	−20.5745	+	2.16246i	−0.403421	+	0.0424012i
$52$	16.6692	−	53.9142i	0.320562	−	1.03681i
$53$	17.8588	−	7.95125i	0.336958	−	0.150024i	−0.231281	−	0.972887i	$-0.574292\pi$
$53$	17.8588	−	7.95125i	0.336958	−	0.150024i	0.568239	+	0.822864i	$0.307625\pi$
$54$	4.75975	+	42.3693i	0.0881435	+	0.784616i
$55$	4.87099	−	10.9404i	0.0885635	−	0.198917i
$56$	18.7439	+	7.86801i	0.334713	+	0.140500i
$57$	−22.0821	+	38.2474i	−0.387406	+	0.671007i
$58$	12.1166	−	59.0783i	0.208907	−	1.01859i
$59$	9.60418	+	45.1841i	0.162783	+	0.765833i	0.981473	+	0.191598i	$0.0613670\pi$
$59$	9.60418	+	45.1841i	0.162783	+	0.765833i	−0.818691	+	0.574235i	$0.805300\pi$
$60$	−5.47701	−	24.0694i	−0.0912835	−	0.401156i
$61$	−103.305			−1.69352			−0.846760	−	0.531975i	$-0.821450\pi$
$61$	−103.305			−1.69352			−0.846760	+	0.531975i	$0.821450\pi$
$62$	−60.9296	−	11.4712i	−0.982735	−	0.185019i
$63$			18.5159i			0.293904i
$64$	−63.9411	+	2.74507i	−0.999080	+	0.0428917i
$65$	−65.0623	+	13.8294i	−1.00096	+	0.212760i
$66$	−1.33596	+	6.51387i	−0.0202417	+	0.0986950i
$67$	6.13504	+	3.54207i	0.0915678	+	0.0528667i	0.545085	−	0.838381i	$-0.316497\pi$
$67$	6.13504	+	3.54207i	0.0915678	+	0.0528667i	−0.453517	+	0.891248i	$0.649831\pi$
$68$	57.3820	−	26.5378i	0.843853	−	0.390262i
$69$	−8.53748	−	3.80113i	−0.123732	−	0.0550888i
$70$	−2.67491	−	23.8109i	−0.0382130	−	0.340156i
$71$	35.6059	+	79.9721i	0.501491	+	1.12637i	0.970043	+	0.242932i	$0.0781091\pi$
$71$	35.6059	+	79.9721i	0.501491	+	1.12637i	−0.468552	+	0.883436i	$0.655224\pi$
$72$	−24.8472	−	52.7334i	−0.345100	−	0.732408i
$73$	−4.98395	−	47.4191i	−0.0682733	−	0.649577i	−0.974129	−	0.225991i	$-0.927438\pi$
$73$	−4.98395	−	47.4191i	−0.0682733	−	0.649577i	0.905856	−	0.423586i	$-0.139229\pi$
$74$	−0.274692	−	38.4134i	−0.00371205	−	0.519100i
$75$	2.69564	−	2.42716i	0.0359418	−	0.0323622i
$76$	26.1700	−	132.404i	0.344342	−	1.74215i
$77$	−1.99453	+	6.13853i	−0.0259030	+	0.0797212i
$78$	33.6311	−	15.2626i	0.431168	−	0.195675i
$79$	74.8178	+	7.86367i	0.947061	+	0.0995401i	0.565450	−	0.824783i	$-0.308703\pi$
$79$	74.8178	+	7.86367i	0.947061	+	0.0995401i	0.381611	+	0.924323i	$0.375369\pi$
$80$	39.5708	+	64.2239i	0.494635	+	0.802798i
$81$	25.2112	−	27.9999i	0.311250	−	0.345678i
$82$	−63.3294	−	56.2072i	−0.772309	−	0.685454i
$83$	23.6096	−	111.075i	0.284453	−	1.33825i	−0.571248	−	0.820777i	$-0.693541\pi$
$83$	23.6096	−	111.075i	0.284453	−	1.33825i	0.855701	−	0.517470i	$-0.173126\pi$
$84$	4.29168	+	12.5927i	0.0510915	+	0.149914i
$85$	−60.2864	−	43.8007i	−0.709252	−	0.515302i
$86$	−12.0538	−	36.2146i	−0.140160	−	0.421100i
$87$	34.1810	−	19.7344i	0.392886	−	0.226833i
$88$	−2.55710	−	20.1591i	−0.0290579	−	0.229080i
$89$	2.73658	−	1.98824i	0.0307481	−	0.0223398i	−0.572305	−	0.820041i	$-0.693951\pi$
$89$	2.73658	−	1.98824i	0.0307481	−	0.0223398i	0.603053	+	0.797701i	$0.293951\pi$
$90$	−39.9883	+	55.8751i	−0.444315	+	0.620835i
$91$	34.0946	−	11.0780i	0.374666	−	0.121736i
$92$	28.4428	+	2.57877i	0.309161	+	0.0280301i
$93$	−20.8546	−	34.8068i	−0.224243	−	0.374267i
$94$	26.9560	+	29.5105i	0.286766	+	0.313941i
$95$	−151.295	+	49.1588i	−1.59258	+	0.517461i
$96$	−29.1214	−	30.1050i	−0.303348	−	0.313593i
$97$	−49.3822	+	35.8783i	−0.509095	+	0.369879i	−0.812480	−	0.582989i	$-0.801883\pi$
$97$	−49.3822	+	35.8783i	−0.509095	+	0.369879i	0.303385	+	0.952868i	$0.401883\pi$
$98$	−18.2851	−	83.0983i	−0.186583	−	0.847941i
$99$	16.0292	−	9.25445i	0.161911	−	0.0934793i
$100$	−5.40467	+	9.67823i	−0.0540467	+	0.0967823i
$101$	120.836	+	87.7926i	1.19640	+	0.869234i	0.993926	−	0.110055i	$-0.0351026\pi$
$101$	120.836	+	87.7926i	1.19640	+	0.869234i	0.202472	+	0.979288i	$0.435103\pi$
$102$	37.9179	+	16.5583i	0.371744	+	0.162336i
$103$	−33.5216	+	157.707i	−0.325452	+	1.53113i	0.446109	+	0.894979i	$0.352809\pi$
$103$	−33.5216	+	157.707i	−0.325452	+	1.53113i	−0.771561	+	0.636155i	$0.780524\pi$
$104$	−82.2354	+	77.3029i	−0.790725	+	0.743297i
$105$	10.4928	−	11.6534i	0.0999310	−	0.110985i
$106$	−38.9118	−	3.80868i	−0.367093	−	0.0359309i
$107$	−15.3156	−	1.60973i	−0.143136	−	0.0150442i	0.0326893	−	0.999466i	$-0.489593\pi$
$107$	−15.3156	−	1.60973i	−0.143136	−	0.0150442i	−0.175826	+	0.984421i	$0.556259\pi$
$108$	33.5655	−	78.3875i	0.310791	−	0.725810i
$109$	−25.2000	+	77.5576i	−0.231193	+	0.711538i	0.766411	+	0.642350i	$0.222041\pi$
$109$	−25.2000	+	77.5576i	−0.231193	+	0.711538i	−0.997604	+	0.0691873i	$0.977959\pi$
$110$	−19.2761	+	14.2166i	−0.175237	+	0.129242i
$111$	18.6830	−	16.8223i	0.168315	−	0.151552i
$112$	−24.8283	−	32.1950i	−0.221681	−	0.287456i
$113$	−5.14603	−	48.9612i	−0.0455401	−	0.433285i	−0.993409	−	0.114624i	$-0.963434\pi$
$113$	−5.14603	−	48.9612i	−0.0455401	−	0.433285i	0.947869	−	0.318661i	$-0.103233\pi$
$114$	76.1770	−	44.7101i	0.668219	−	0.392194i
$115$	−13.6918	−	30.7523i	−0.119059	−	0.267411i
$116$	−79.4177	+	90.7802i	−0.684636	+	0.782588i
$117$	−93.9143	−	41.8134i	−0.802687	−	0.357379i
$118$	27.9202	−	88.0673i	0.236612	−	0.746333i
$119$	34.7814	+	20.0810i	0.292281	+	0.168748i
$120$	−14.2453	+	47.2695i	−0.118711	+	0.393912i
$121$	−112.045	+	23.8159i	−0.925991	+	0.196825i
$122$	179.663	+	102.023i	1.47265	+	0.836251i
$123$		−	55.4160i		−	0.450537i
$124$	94.6373	+	80.1235i	0.763204	+	0.646157i
$125$	130.934			1.04747
$126$	18.2861	−	32.2021i	0.145128	−	0.255573i
$127$	35.6474	+	167.708i	0.280688	+	1.32053i	0.862023	+	0.506869i	$0.169197\pi$
$127$	35.6474	+	167.708i	0.280688	+	1.32053i	−0.581335	+	0.813664i	$0.697470\pi$
$128$	113.915	+	58.3734i	0.889958	+	0.456042i
$129$	12.4896	−	21.6326i	0.0968185	−	0.167695i
$130$	126.811	+	40.2033i	0.975472	+	0.309256i
$131$	53.9805	−	121.242i	0.412065	−	0.925512i	−0.581636	−	0.813449i	$-0.697587\pi$
$131$	53.9805	−	121.242i	0.412065	−	0.925512i	0.993701	−	0.112063i	$-0.0357460\pi$
$132$	8.75646	−	10.0093i	0.0663369	−	0.0758278i
$133$	78.3255	−	34.8728i	0.588914	−	0.262201i
$134$	−7.17170	−	12.2191i	−0.0535201	−	0.0911874i
$135$	−99.9576	+	10.5060i	−0.740427	+	0.0778220i
$136$	−126.005	−	10.5164i	−0.926506	−	0.0773265i
$137$	89.9124	+	99.8578i	0.656295	+	0.728889i	0.975793	−	0.218698i	$-0.0701809\pi$
$137$	89.9124	+	99.8578i	0.656295	+	0.728889i	−0.319498	+	0.947587i	$0.603514\pi$
$138$	11.0941	+	15.0423i	0.0803917	+	0.109002i
$139$	−47.3526	−	15.3858i	−0.340666	−	0.110689i	0.133688	−	0.991024i	$-0.457318\pi$
$139$	−47.3526	−	15.3858i	−0.340666	−	0.110689i	−0.474353	+	0.880334i	$0.657318\pi$
$140$	−18.8633	+	44.0526i	−0.134738	+	0.314661i
$141$	−2.73422	+	26.0144i	−0.0193916	+	0.184499i
$142$	17.0553	−	174.248i	0.120108	−	1.22710i
$143$	−26.6310	−	23.9787i	−0.186231	−	0.167683i
$144$	−8.86571	+	116.251i	−0.0615674	+	0.807295i
$145$	139.061	+	29.5584i	0.959045	+	0.203851i
$146$	−38.1627	+	87.3914i	−0.261389	+	0.598571i
$147$	32.7309	−	45.0502i	0.222659	−	0.306464i
$148$	−37.4589	+	67.0782i	−0.253101	+	0.453231i
$149$	−16.8844	−	29.2446i	−0.113318	−	0.196272i	0.803788	−	0.594916i	$-0.202815\pi$
$149$	−16.8844	−	29.2446i	−0.113318	−	0.196272i	−0.917106	+	0.398643i	$0.869481\pi$
$150$	−7.08518	+	1.55904i	−0.0472345	+	0.0103936i
$151$	83.2862	+	114.634i	0.551565	+	0.759163i	0.990223	−	0.139490i	$-0.0445464\pi$
$151$	83.2862	+	114.634i	0.551565	+	0.759163i	−0.438659	+	0.898654i	$0.644546\pi$
$152$	−176.274	+	204.425i	−1.15970	+	1.34490i
$153$	−35.5894	−	109.533i	−0.232611	−	0.715902i
$154$	9.53115	−	8.70610i	0.0618906	−	0.0565331i
$155$	28.0682	−	143.436i	0.181085	−	0.925396i
$156$	−73.5630	−	6.66962i	−0.471558	−	0.0427540i
$157$	27.5747	+	84.8661i	0.175635	+	0.540549i	0.999662	−	0.0260019i	$-0.00827758\pi$
$157$	27.5747	+	84.8661i	0.175635	+	0.540549i	−0.824027	+	0.566551i	$0.808278\pi$
$158$	−122.354	−	87.5654i	−0.774392	−	0.554212i
$159$	−15.0401	−	20.7009i	−0.0945917	−	0.130194i
$160$	−5.39312	−	150.775i	−0.0337070	−	0.942345i
$161$	9.07134	+	15.7120i	0.0563437	+	0.0975902i
$162$	−71.4987	+	23.7979i	−0.441350	+	0.146901i
$163$	150.281	−	206.844i	0.921971	−	1.26898i	−0.0409396	−	0.999162i	$-0.513035\pi$
$163$	150.281	−	206.844i	0.921971	−	1.26898i	0.962910	−	0.269822i	$-0.0869649\pi$
$164$	54.6301	+	160.297i	0.333110	+	0.977418i
$165$	−15.3327	−	3.25906i	−0.0929253	−	0.0197519i
$166$	−150.757	+	169.859i	−0.908174	+	1.02325i
$167$	−184.043	−	165.713i	−1.10205	−	0.992291i	−0.102054	−	0.994779i	$-0.532542\pi$
$167$	−184.043	−	165.713i	−1.10205	−	0.992291i	−0.999997	+	0.00248759i	$0.999208\pi$
$168$	4.97254	−	26.1392i	0.0295985	−	0.155590i
$169$	−3.13979	+	29.8731i	−0.0185786	+	0.176764i
$170$	61.5905	+	135.714i	0.362297	+	0.798320i
$171$	−233.831	−	75.9763i	−1.36743	−	0.444306i
$172$	−14.8016	+	74.8870i	−0.0860561	+	0.435390i
$173$	44.3283	+	49.2316i	0.256233	+	0.284576i	0.857513	−	0.514463i	$-0.172009\pi$
$173$	44.3283	+	49.2316i	0.256233	+	0.284576i	−0.601279	+	0.799039i	$0.705342\pi$
$174$	−78.9357	+	0.564465i	−0.453654	+	0.00324405i
$175$	−7.00332	+	0.736079i	−0.0400190	+	0.00420617i
$176$	−15.4617	+	37.5852i	−0.0878505	+	0.213552i
$177$	55.2359	−	24.5926i	0.312067	−	0.138941i
$178$	−6.72291	+	0.755249i	−0.0377691	+	0.00424297i
$179$	4.71092	−	10.5809i	0.0263180	−	0.0591112i	−0.899908	−	0.436079i	$-0.856367\pi$
$179$	4.71092	−	10.5809i	0.0263180	−	0.0591112i	0.926226	+	0.376968i	$0.123033\pi$
$180$	124.728	−	57.6836i	0.692932	−	0.320464i
$181$	−20.4767	+	35.4666i	−0.113131	+	0.195948i	−0.917031	−	0.398816i	$-0.869421\pi$
$181$	−20.4767	+	35.4666i	−0.113131	+	0.195948i	0.803900	+	0.594764i	$0.202755\pi$
$182$	−70.2364	−	14.4051i	−0.385914	−	0.0791486i
$183$	28.1131	+	132.262i	0.153623	+	0.722742i
$184$	−46.9197	−	32.5747i	−0.254998	−	0.177036i
$185$	90.5568			0.489496
$186$	1.89462	+	81.1303i	0.0101861	+	0.436184i
$187$		−	40.1468i		−	0.214689i
$188$	−17.7364	−	77.9448i	−0.0943426	−	0.414600i
$189$	52.9859	−	11.2625i	0.280349	−	0.0595900i
$190$	311.675	+	63.9226i	1.64039	+	0.336435i
$191$	−51.0617	−	29.4805i	−0.267339	−	0.154348i	0.360339	−	0.932821i	$-0.382661\pi$
$191$	−51.0617	−	29.4805i	−0.267339	−	0.154348i	−0.627678	+	0.778473i	$0.715994\pi$
$192$	20.9153	+	81.1172i	0.108934	+	0.422485i
$193$	−67.3680	−	29.9942i	−0.349057	−	0.155410i	0.224717	−	0.974424i	$-0.427854\pi$
$193$	−67.3680	−	29.9942i	−0.349057	−	0.155410i	−0.573773	+	0.819014i	$0.694521\pi$
$194$	121.316	−	13.6286i	0.625342	−	0.0702507i
$195$	35.4118	+	79.5362i	0.181599	+	0.407878i
$196$	−50.2662	+	162.579i	−0.256460	+	0.829485i
$197$	−37.6668	−	358.376i	−0.191202	−	1.81917i	−0.497761	−	0.867314i	$-0.665844\pi$
$197$	−37.6668	−	358.376i	−0.191202	−	1.81917i	0.306559	−	0.951852i	$-0.400822\pi$
$198$	−37.0169	+	0.264705i	−0.186954	+	0.00133690i
$199$	−277.152	+	249.549i	−1.39273	+	1.25402i	−0.462703	+	0.886513i	$0.653120\pi$
$199$	−277.152	+	249.549i	−1.39273	+	1.25402i	−0.930022	+	0.367503i	$0.880213\pi$
$200$	18.9577	−	11.4944i	0.0947885	−	0.0574718i
$201$	2.86536	−	8.81867i	0.0142555	−	0.0438740i
$202$	−123.450	−	272.022i	−0.611139	−	1.34664i
$203$	−76.2028	−	8.00924i	−0.375383	−	0.0394544i
$204$	−49.5924	−	66.2447i	−0.243100	−	0.324729i
$205$	133.565	−	148.339i	0.651538	−	0.723606i
$206$	214.049	−	241.171i	1.03907	−	1.17073i
$207$	10.8169	−	50.8895i	0.0522555	−	0.245843i
$208$	219.364	−	53.2272i	1.05463	−	0.255900i
$209$	−69.3371	−	50.3763i	−0.331756	−	0.241035i
$210$	−29.7573	+	9.90454i	−0.141702	+	0.0471645i
$211$	338.581	−	195.480i	1.60465	−	0.926444i	0.614108	−	0.789222i	$-0.289516\pi$
$211$	338.581	−	195.480i	1.60465	−	0.926444i	0.990540	−	0.137223i	$-0.0438175\pi$
$212$	63.9124	+	45.0528i	0.301473	+	0.212513i
$213$	92.6991	−	67.3499i	0.435207	−	0.316197i
$214$	25.0464	+	17.9251i	0.117039	+	0.0837620i
$215$	85.5721	−	27.8040i	0.398010	−	0.129321i
$216$	−135.790	+	103.179i	−0.628659	+	0.477682i
$217$	−6.96398	+	78.4638i	−0.0320921	+	0.361585i
$218$	120.422	−	109.998i	0.552394	−	0.504576i
$219$	−59.3547	+	19.2855i	−0.271026	+	0.0880617i
$220$	47.5642	−	5.68805i	0.216201	−	0.0258548i
$221$	−180.397	+	131.066i	−0.816277	+	0.593060i
$222$	−49.1062	+	10.8054i	−0.221199	+	0.0486730i
$223$	241.880	−	139.649i	1.08466	−	0.626231i	0.152513	−	0.988301i	$-0.451263\pi$
$223$	241.880	−	139.649i	1.08466	−	0.626231i	0.932151	+	0.362071i	$0.117930\pi$
$224$	11.3849	+	80.5124i	0.0508253	+	0.359430i
$225$	16.3369	+	11.8695i	0.0726085	+	0.0527532i
$226$	−39.4038	+	90.2335i	−0.174353	+	0.399263i
$227$	−77.2481	+	363.424i	−0.340300	+	1.60098i	0.391975	+	0.919976i	$0.371792\pi$
$227$	−77.2481	+	363.424i	−0.340300	+	1.60098i	−0.732275	+	0.681009i	$0.761541\pi$
$228$	−176.639	+	2.52640i	−0.774733	+	0.0110807i
$229$	−202.890	+	225.333i	−0.885984	+	0.983985i	−0.999955	−	0.00949934i	$-0.996976\pi$
$229$	−202.890	+	225.333i	−0.885984	+	0.983985i	0.113971	+	0.993484i	$0.463643\pi$
$230$	−6.55842	+	67.0049i	−0.0285149	+	0.291326i
$231$	8.40199	+	0.883085i	0.0363723	+	0.00382288i
$232$	227.773	−	79.4490i	0.981782	−	0.342453i
$233$	95.1147	−	292.733i	0.408217	−	1.25636i	−0.509961	−	0.860197i	$-0.670340\pi$
$233$	95.1147	−	292.733i	0.408217	−	1.25636i	0.918179	−	0.396167i	$-0.129660\pi$
$234$	122.037	+	165.469i	0.521527	+	0.707132i
$235$	−70.0197	+	63.0460i	−0.297956	+	0.268281i
$236$	−135.532	+	125.589i	−0.574287	+	0.532158i
$237$	−10.2928	−	97.9298i	−0.0434297	−	0.413206i
$238$	−40.6585	−	69.2738i	−0.170834	−	0.291066i
$239$	−53.1989	−	119.487i	−0.222590	−	0.499944i	0.767386	−	0.641186i	$-0.221557\pi$
$239$	−53.1989	−	119.487i	−0.222590	−	0.499944i	−0.989975	+	0.141242i	$0.954891\pi$
$240$	71.4575	−	68.1405i	0.297740	−	0.283919i
$241$	−107.782	−	47.9877i	−0.447229	−	0.199119i	0.170749	−	0.985315i	$-0.445381\pi$
$241$	−107.782	−	47.9877i	−0.447229	−	0.199119i	−0.617978	+	0.786195i	$0.712048\pi$
$242$	218.384	+	69.2347i	0.902413	+	0.286094i
$243$	−208.866	−	120.589i	−0.859531	−	0.496250i
$244$	−211.706	−	354.867i	−0.867648	−	1.45437i
$245$	196.196	−	41.7028i	0.800802	−	0.170216i
$246$	−54.7282	+	96.3771i	−0.222472	+	0.391777i
$247$			476.024i			1.92722i
$248$	−85.4601	−	232.810i	−0.344597	−	0.938751i
$249$	−148.635			−0.596926
$250$	−227.715	−	129.309i	−0.910861	−	0.517237i
$251$	−64.8887	−	305.277i	−0.258521	−	1.21624i	−0.895394	−	0.445275i	$-0.853106\pi$
$251$	−64.8887	−	305.277i	−0.258521	−	1.21624i	0.636873	−	0.770969i	$-0.280227\pi$
$252$	−63.6050	+	37.9454i	−0.252401	+	0.150577i
$253$	9.06789	−	15.7060i	0.0358415	−	0.0620792i
$254$	103.630	−	326.875i	0.407992	−	1.28691i
$255$	−39.6721	+	89.1049i	−0.155577	+	0.349431i
$256$	−140.467	−	214.021i	−0.548697	−	0.836021i
$257$	−285.554	+	127.137i	−1.11110	+	0.494696i	−0.878436	−	0.477860i	$-0.841412\pi$
$257$	−285.554	+	127.137i	−1.11110	+	0.494696i	−0.232669	+	0.972556i	$0.574746\pi$
$258$	−43.0855	+	25.2879i	−0.166998	+	0.0980152i
$259$	−48.5389	+	5.10164i	−0.187409	+	0.0196975i
$260$	−180.841	−	195.157i	−0.695541	−	0.750605i
$261$	147.025	+	163.287i	0.563313	+	0.625622i
$262$	−213.618	+	157.549i	−0.815336	+	0.601331i
$263$	438.724	+	142.550i	1.66815	+	0.542015i	0.982556	−	0.185968i	$-0.0595422\pi$
$263$	438.724	+	142.550i	1.66815	+	0.542015i	0.685595	+	0.727983i	$0.259542\pi$
$264$	−25.1139	+	8.75991i	−0.0951285	+	0.0331815i
$265$	9.63416	−	91.6629i	0.0363553	−	0.345898i
$266$	−170.660	−	16.7042i	−0.641580	−	0.0627977i
$267$	−3.29029	−	2.96259i	−0.0123232	−	0.0110958i
$268$	0.405245	+	28.3337i	0.00151211	+	0.105723i
$269$	−335.775	−	71.3711i	−1.24823	−	0.265320i	−0.464027	−	0.885821i	$-0.653596\pi$
$269$	−335.775	−	71.3711i	−1.24823	−	0.265320i	−0.784206	+	0.620501i	$0.786929\pi$
$270$	184.218	+	80.4455i	0.682288	+	0.297946i
$271$	96.1933	−	132.399i	0.354957	−	0.488556i	−0.593778	−	0.804629i	$-0.702364\pi$
$271$	96.1933	−	132.399i	0.354957	−	0.488556i	0.948735	+	0.316073i	$0.102364\pi$
$272$	208.756	+	142.731i	0.767487	+	0.524745i
$273$	−23.4617	−	40.6368i	−0.0859402	−	0.148853i
$274$	−57.7533	−	262.465i	−0.210778	−	0.957901i
$275$	4.13755	+	5.69485i	0.0150456	+	0.0207086i
$276$	−4.43873	−	37.1173i	−0.0160823	−	0.134483i
$277$	100.099	+	308.072i	0.361367	+	1.11217i	0.952225	+	0.305397i	$0.0987892\pi$
$277$	100.099	+	308.072i	0.361367	+	1.11217i	−0.590858	+	0.806775i	$0.701211\pi$
$278$	67.1587	+	73.5231i	0.241578	+	0.264472i
$279$	165.398	−	153.849i	0.592826	−	0.551429i
$280$	76.3121	−	57.9852i	0.272543	−	0.207090i
$281$	54.7600	+	168.534i	0.194875	+	0.599765i	0.999978	+	0.00662924i	$0.00211017\pi$
$281$	54.7600	+	168.534i	0.194875	+	0.599765i	−0.805103	+	0.593136i	$0.797890\pi$
$282$	30.4468	−	42.5428i	0.107967	−	0.150861i
$283$	−28.7286	−	39.5415i	−0.101514	−	0.139723i	0.755238	−	0.655451i	$-0.227521\pi$
$283$	−28.7286	−	39.5415i	−0.101514	−	0.139723i	−0.856752	+	0.515728i	$0.827521\pi$
$284$	−201.747	+	286.201i	−0.710378	+	1.00775i
$285$	104.111	+	180.326i	0.365303	+	0.632724i
$286$	22.6344	+	68.0032i	0.0791414	+	0.237773i
$287$	−63.2347	+	87.0352i	−0.220330	+	0.303258i
$288$	130.227	−	193.422i	0.452176	−	0.671605i
$289$	38.3340	+	8.14815i	0.132644	+	0.0281943i
$290$	−212.658	−	188.742i	−0.733304	−	0.650836i
$291$	59.3739	+	53.4605i	0.204034	+	0.183713i
$292$	152.678	−	114.298i	0.522869	−	0.391433i
$293$	−12.3887	+	117.871i	−0.0422824	+	0.402290i	0.952827	+	0.303513i	$0.0981597\pi$
$293$	−12.3887	+	117.871i	−0.0422824	+	0.402290i	−0.995110	+	0.0987769i	$0.968507\pi$
$294$	−101.415	+	46.0247i	−0.344950	+	0.156547i
$295$	207.131	+	67.3010i	0.702139	+	0.228139i
$296$	131.393	−	79.6655i	0.443894	−	0.269140i
$297$	−36.2328	−	40.2406i	−0.121996	−	0.135490i
$298$	0.482944	+	67.5358i	0.00162062	+	0.226630i
$299$	−100.178	+	10.5291i	−0.335043	+	0.0352144i
$300$	13.8619	+	4.28583i	0.0462064	+	0.0142861i
$301$	−44.3007	+	19.7239i	−0.147178	+	0.0655280i
$302$	−31.6369	−	281.619i	−0.104758	−	0.932512i
$303$	79.5174	−	178.599i	0.262434	−	0.589436i
$304$	508.456	−	181.442i	1.67255	−	0.596848i
$305$	−243.527	+	421.801i	−0.798450	+	1.38296i
$306$	−46.2780	+	225.643i	−0.151235	+	0.737395i
$307$	105.103	+	494.472i	0.342356	+	1.61066i	0.726352	+	0.687323i	$0.241214\pi$
$307$	105.103	+	494.472i	0.342356	+	1.61066i	−0.383996	+	0.923335i	$0.625452\pi$
$308$	−25.1742	+	5.72842i	−0.0817345	+	0.0185988i
$309$	211.036			0.682963
$310$	−190.471	+	221.739i	−0.614423	+	0.715286i
$311$			245.191i			0.788396i	0.919026	+	0.394198i	$0.128978\pi$
$311$			245.191i			0.788396i	−0.919026	+	0.394198i	$0.871022\pi$
$312$	121.351	+	84.2495i	0.388945	+	0.270031i
$313$	293.691	−	62.4260i	0.938310	−	0.199444i	0.286719	−	0.958015i	$-0.407435\pi$
$313$	293.691	−	62.4260i	0.938310	−	0.199444i	0.651591	+	0.758571i	$0.274102\pi$
$314$	35.8562	−	174.828i	0.114192	−	0.556777i
$315$	75.6021	+	43.6489i	0.240007	+	0.138568i
$316$	126.314	+	273.125i	0.399728	+	0.864321i
$317$	−311.447	−	138.665i	−0.982483	−	0.437430i	−0.148315	−	0.988940i	$-0.547385\pi$
$317$	−311.447	−	138.665i	−0.982483	−	0.437430i	−0.834168	+	0.551510i	$0.814052\pi$
$318$	5.71309	+	50.8556i	0.0179657	+	0.159923i
$319$	31.1534	+	69.9716i	0.0976594	+	0.219347i
$320$	−139.524	+	267.548i	−0.436014	+	0.836087i
$321$	2.10699	+	20.0467i	0.00656384	+	0.0624508i
$322$	−0.259468	−	36.2844i	−0.000805800	−	0.112685i
$323$	−396.314	+	356.843i	−1.22698	+	1.10478i
$324$	147.850	+	29.2230i	0.456327	+	0.0901945i
$325$	12.0817	−	37.1837i	0.0371745	−	0.114411i
$326$	−465.640	+	211.319i	−1.42834	+	0.648217i
$327$	106.155	+	11.1574i	0.324634	+	0.0341204i
$328$	63.2969	−	332.733i	0.192978	−	1.01443i
$329$	33.9791	−	37.7376i	0.103280	−	0.114704i
$330$	23.4473	+	20.8104i	0.0710525	+	0.0630618i
$331$	128.059	−	602.468i	0.386884	−	1.82015i	−0.165083	−	0.986280i	$-0.552789\pi$
$331$	128.059	−	602.468i	0.386884	−	1.82015i	0.551967	−	0.833866i	$-0.313877\pi$
$332$	429.941	−	146.527i	1.29500	−	0.441345i
$333$	113.228	+	82.2653i	0.340025	+	0.247043i
$334$	156.423	+	469.959i	0.468332	+	1.40706i
$335$	28.9251	−	16.6999i	0.0863436	−	0.0498505i
$336$	−34.4628	+	40.5493i	−0.102568	+	0.120683i
$337$	−467.738	+	339.832i	−1.38795	+	1.00840i	−0.391860	+	0.920025i	$0.628168\pi$
$337$	−467.738	+	339.832i	−1.38795	+	1.00840i	−0.996087	+	0.0883772i	$0.971832\pi$
$338$	34.9629	−	48.8532i	0.103441	−	0.144536i
$339$	−61.2850	+	19.9127i	−0.180782	+	0.0587395i
$340$	26.9144	−	296.855i	0.0791601	−	0.873103i
$341$	71.4065	−	33.1883i	0.209403	−	0.0973264i
$342$	331.635	+	363.063i	0.969694	+	1.06159i
$343$	−221.230	+	71.8819i	−0.644985	+	0.209568i
$344$	99.7000	−	115.622i	0.289826	−	0.336112i
$345$	−35.6463	+	25.8985i	−0.103323	+	0.0750683i
$346$	−28.4734	−	129.400i	−0.0822930	−	0.373988i
$347$	−23.5704	+	13.6084i	−0.0679261	+	0.0392172i	−0.533578	−	0.845751i	$-0.679153\pi$
$347$	−23.5704	+	13.6084i	−0.0679261	+	0.0392172i	0.465652	+	0.884968i	$0.345820\pi$
$348$	137.839	+	76.9744i	0.396089	+	0.221191i
$349$	−78.7371	−	57.2059i	−0.225608	−	0.163914i	0.469240	−	0.883071i	$-0.344528\pi$
$349$	−78.7371	−	57.2059i	−0.225608	−	0.163914i	−0.694847	+	0.719157i	$0.744528\pi$
$350$	12.9068	+	5.63625i	0.0368766	+	0.0161036i
$351$	−62.5303	+	294.182i	−0.178149	+	0.838126i
$352$	64.0090	−	50.0967i	0.181844	−	0.142320i
$353$	332.276	−	369.029i	0.941291	−	1.04541i	−0.0576009	−	0.998340i	$-0.518345\pi$
$353$	332.276	−	369.029i	0.941291	−	1.04541i	0.998892	−	0.0470696i	$-0.0149883\pi$
$354$	−120.351	−	11.7800i	−0.339975	−	0.0332767i
$355$	410.469	+	43.1420i	1.15625	+	0.121527i
$356$	12.4381	+	5.32597i	0.0349384	+	0.0149606i
$357$	16.2446	−	49.9957i	0.0455030	−	0.140044i
$358$	−18.6426	+	13.7494i	−0.0520743	+	0.0384061i
$359$	95.4832	−	85.9735i	0.265970	−	0.239480i	−0.525345	−	0.850889i	$-0.676064\pi$
$359$	95.4832	−	85.9735i	0.265970	−	0.239480i	0.791315	+	0.611409i	$0.209397\pi$
$360$	−273.889	−	22.8588i	−0.760802	−	0.0634968i
$361$	81.2681	+	773.214i	0.225119	+	2.14187i
$362$	70.6386	−	41.4595i	0.195134	−	0.114529i
$363$	60.9833	+	136.971i	0.167998	+	0.377330i
$364$	107.926	+	94.4173i	0.296500	+	0.259388i
$365$	−205.365	−	91.4345i	−0.562644	−	0.250505i
$366$	81.7271	−	257.788i	0.223298	−	0.704339i
$367$	−371.979	−	214.762i	−1.01357	−	0.585184i	−0.101333	−	0.994853i	$-0.532311\pi$
$367$	−371.979	−	214.762i	−1.01357	−	0.585184i	−0.912234	+	0.409669i	$0.865644\pi$
$368$	49.4303	+	102.990i	0.134322	+	0.279864i
$369$	301.762	−	64.1414i	0.817782	−	0.173825i
$370$	−157.492	−	89.4329i	−0.425655	−	0.241710i
$371$			49.6745i			0.133894i
$372$	76.8283	−	142.969i	0.206528	−	0.384326i
$373$	−260.172			−0.697513			−0.348756	−	0.937213i	$-0.613396\pi$
$373$	−260.172			−0.697513			−0.348756	+	0.937213i	$0.613396\pi$
$374$	−39.6486	+	69.8216i	−0.106012	+	0.186689i
$375$	−35.6321	−	167.636i	−0.0950190	−	0.447029i
$376$	−46.1310	+	153.075i	−0.122689	+	0.407113i
$377$	212.707	−	368.420i	0.564211	−	0.977242i
$378$	−103.274	−	32.7410i	−0.273210	−	0.0866165i
$379$	79.7307	−	179.078i	0.210371	−	0.472502i	−0.777283	−	0.629151i	$-0.783403\pi$
$379$	79.7307	−	179.078i	0.210371	−	0.472502i	0.987654	+	0.156649i	$0.0500693\pi$
$380$	−478.922	−	418.978i	−1.26032	−	1.10257i
$381$	205.016	−	91.2792i	0.538101	−	0.239578i
$382$	59.6897	+	101.699i	0.156256	+	0.266228i
$383$	−326.892	+	34.3577i	−0.853503	+	0.0897068i	−0.521167	−	0.853454i	$-0.674503\pi$
$383$	−326.892	+	34.3577i	−0.853503	+	0.0897068i	−0.332336	+	0.943161i	$0.607837\pi$
$384$	43.7354	−	161.731i	0.113894	−	0.421175i
$385$	20.3623	+	22.6146i	0.0528891	+	0.0587392i
$386$	87.5416	+	118.696i	0.226792	+	0.307504i
$387$	132.254	+	42.9719i	0.341742	+	0.111039i
$388$	−224.448	−	96.1084i	−0.578474	−	0.247702i
$389$	41.6520	−	396.292i	0.107075	−	1.01875i	−0.800637	−	0.599150i	$-0.795505\pi$
$389$	41.6520	−	396.292i	0.107075	−	1.01875i	0.907711	−	0.419596i	$-0.137828\pi$
$390$	16.9624	−	173.298i	0.0434933	−	0.444355i
$391$	−83.8625	−	75.5101i	−0.214482	−	0.193120i
$392$	247.982	−	233.108i	0.632608	−	0.594664i
$393$	−169.917	−	36.1170i	−0.432359	−	0.0919008i
$394$	−288.419	+	660.471i	−0.732029	+	1.67632i
$395$	208.481	−	286.950i	0.527800	−	0.726455i
$396$	64.6396	+	36.0971i	0.163231	+	0.0911543i
$397$	75.9690	+	131.582i	0.191358	+	0.331441i	0.945700	−	0.325040i	$-0.105378\pi$
$397$	75.9690	+	131.582i	0.191358	+	0.331441i	−0.754343	+	0.656481i	$0.772044\pi$
$398$	728.464	−	160.293i	1.83031	−	0.402745i
$399$	−65.9632	−	90.7905i	−0.165321	−	0.227545i
$400$	−44.3221	+	1.26810i	−0.110805	+	0.00317026i
$401$	−67.4734	−	207.662i	−0.168263	−	0.517860i	0.830999	−	0.556274i	$-0.187769\pi$
$401$	−67.4734	−	207.662i	−0.168263	−	0.517860i	−0.999262	+	0.0384139i	$0.987769\pi$
$402$	−13.6925	+	12.5073i	−0.0340610	+	0.0311126i
$403$	−382.249	−	212.512i	−0.948508	−	0.527324i
$404$	−53.9464	+	595.006i	−0.133531	+	1.47279i
$405$	−54.8938	−	168.946i	−0.135540	−	0.417150i
$406$	124.619	+	89.1864i	0.306943	+	0.219671i
$407$	28.6767	+	39.4701i	0.0704587	+	0.0969781i
$408$	20.8264	+	164.187i	0.0510452	+	0.402419i
$409$	−266.484	−	461.564i	−0.651550	−	1.12852i	−0.982747	−	0.184956i	$-0.940786\pi$
$409$	−266.484	−	461.564i	−0.651550	−	1.12852i	0.331197	−	0.943562i	$-0.392547\pi$
$410$	−378.789	+	126.078i	−0.923876	+	0.307507i
$411$	103.380	−	142.291i	0.251533	−	0.346206i
$412$	−610.443	+	208.043i	−1.48166	+	0.504958i
$413$	−114.815	−	24.4046i	−0.278002	−	0.0590911i
$414$	−69.0702	+	77.8222i	−0.166836	+	0.187976i
$415$	−397.870	−	358.244i	−0.958722	−	0.863237i
$416$	−434.075	−	124.071i	−1.04345	−	0.298247i
$417$	−6.81211	+	64.8128i	−0.0163360	+	0.155426i
$418$	70.8370	+	156.089i	0.169466	+	0.373418i
$419$	200.093	+	65.0142i	0.477549	+	0.155165i	0.537894	−	0.843012i	$-0.319220\pi$
$419$	200.093	+	65.0142i	0.477549	+	0.155165i	−0.0603449	+	0.998178i	$0.519220\pi$
$420$	61.5343	+	12.1624i	0.146510	+	0.0289582i
$421$	48.9412	+	54.3547i	0.116250	+	0.129108i	0.798461	−	0.602047i	$-0.205648\pi$
$421$	48.9412	+	54.3547i	0.116250	+	0.129108i	−0.682211	+	0.731156i	$0.738981\pi$
$422$	−781.899	+	5.59131i	−1.85284	+	0.0132496i
$423$	−144.823	+	15.2215i	−0.342372	+	0.0359847i
$424$	−66.6600	−	141.473i	−0.157217	−	0.333663i
$425$	40.0141	−	17.8154i	0.0941508	−	0.0419186i
$426$	−227.732	+	25.5834i	−0.534583	+	0.0600548i
$427$	106.769	−	239.807i	0.250044	−	0.561609i
$428$	−25.8571	−	55.9101i	−0.0604138	−	0.130631i
$429$	−23.4528	+	40.6214i	−0.0546684	+	0.0946885i
$430$	−176.282	−	36.1544i	−0.409959	−	0.0840800i
$431$	−91.6507	−	431.183i	−0.212647	−	1.00042i	−0.946895	−	0.321543i	$-0.895799\pi$
$431$	−91.6507	−	431.183i	−0.212647	−	1.00042i	0.734248	−	0.678881i	$-0.237535\pi$
$432$	338.059	−	45.3401i	0.782545	−	0.104954i
$433$	630.256			1.45556			0.727778	−	0.685812i	$-0.240553\pi$
$433$	630.256			1.45556			0.727778	+	0.685812i	$0.240553\pi$
$434$	89.6015	−	129.583i	0.206455	−	0.298579i
$435$		−	186.085i		−	0.427782i
$436$	−318.065	+	72.3760i	−0.729507	+	0.166000i
$437$	−235.643	+	50.0876i	−0.539230	+	0.114617i
$438$	122.273	+	25.0775i	0.279163	+	0.0572546i
$439$	293.833	+	169.645i	0.669324	+	0.386434i	0.795820	−	0.605533i	$-0.207040\pi$
$439$	293.833	+	169.645i	0.669324	+	0.386434i	−0.126497	+	0.991967i	$0.540373\pi$
$440$	−88.3391	−	37.0815i	−0.200771	−	0.0842762i
$441$	283.200	+	126.089i	0.642177	+	0.285916i
$442$	443.179	−	49.7865i	1.00267	−	0.112639i
$443$	212.298	+	476.830i	0.479229	+	1.07637i	0.977805	+	0.209519i	$0.0671899\pi$
$443$	212.298	+	476.830i	0.479229	+	1.07637i	−0.498576	+	0.866846i	$0.666143\pi$
$444$	96.0747	+	29.7044i	0.216384	+	0.0669018i
$445$	−1.66703	−	15.8607i	−0.00374613	−	0.0356420i
$446$	−558.584	+	3.99440i	−1.25243	+	0.00895605i
$447$	−32.8472	+	29.5757i	−0.0734836	+	0.0661650i
$448$	59.7130	−	151.267i	0.133288	−	0.337650i
$449$	159.600	−	491.198i	0.355457	−	1.09398i	−0.600288	−	0.799784i	$-0.704947\pi$
$449$	159.600	−	491.198i	0.355457	−	1.09398i	0.955744	−	0.294199i	$-0.0950527\pi$
$450$	−16.6903	−	36.7770i	−0.0370896	−	0.0817267i
$451$	106.951	+	11.2410i	0.237143	+	0.0249247i
$452$	157.643	−	118.015i	0.348768	−	0.261096i
$453$	124.101	−	137.828i	0.273954	−	0.304256i
$454$	493.260	−	555.761i	1.08647	−	1.22414i
$455$	35.1411	−	165.326i	0.0772332	−	0.363354i
$456$	309.698	+	170.053i	0.679162	+	0.372923i
$457$	−408.963	−	297.129i	−0.894886	−	0.650173i	0.0422612	−	0.999107i	$-0.486544\pi$
$457$	−408.963	−	297.129i	−0.894886	−	0.650173i	−0.937147	+	0.348934i	$0.886544\pi$
$458$	575.394	−	191.516i	1.25632	−	0.418158i
$459$	−291.796	+	168.469i	−0.635721	+	0.367034i
$460$	77.5794	−	110.055i	0.168651	−	0.239250i
$461$	334.297	−	242.881i	0.725157	−	0.526857i	−0.162871	−	0.986647i	$-0.552075\pi$
$461$	334.297	−	242.881i	0.725157	−	0.526857i	0.888028	+	0.459790i	$0.152075\pi$
$462$	−13.7403	−	9.83354i	−0.0297408	−	0.0212847i
$463$	−473.865	+	153.968i	−1.02347	+	0.332544i	−0.772204	−	0.635375i	$-0.780846\pi$
$463$	−473.865	+	153.968i	−1.02347	+	0.332544i	−0.251262	+	0.967919i	$0.580846\pi$
$464$	−474.597	−	86.7723i	−1.02284	−	0.187009i
$465$	−191.281	+	3.09859i	−0.411357	+	0.00666363i
$466$	−454.519	+	415.174i	−0.975363	+	0.890932i
$467$	−460.106	+	149.497i	−0.985237	+	0.320123i	−0.756951	−	0.653471i	$-0.773312\pi$
$467$	−460.106	+	149.497i	−0.985237	+	0.320123i	−0.228286	+	0.973594i	$0.573312\pi$
$468$	−48.8271	−	408.299i	−0.104331	−	0.872434i
$469$	−14.5632	+	10.5808i	−0.0310516	+	0.0225603i
$470$	184.039	−	40.4963i	0.391572	−	0.0861623i
$471$	101.151	−	58.3993i	0.214757	−	0.123990i
$472$	359.742	−	84.5697i	0.762165	−	0.179173i
$473$	39.2168	+	28.4927i	0.0829109	+	0.0602383i
$474$	−78.8135	+	180.480i	−0.166273	+	0.380760i
$475$	19.4410	−	91.4627i	0.0409284	−	0.192553i
$476$	2.29746	+	160.632i	0.00482659	+	0.337462i
$477$	95.3163	−	105.859i	0.199824	−	0.221928i
$478$	−25.4825	+	260.345i	−0.0533106	+	0.544654i
$479$	229.256	+	24.0958i	0.478614	+	0.0503044i	0.340764	−	0.940149i	$-0.389314\pi$
$479$	229.256	+	24.0958i	0.478614	+	0.0503044i	0.137850	+	0.990453i	$0.455981\pi$
$480$	−191.571	+	47.9364i	−0.399106	+	0.0998676i
$481$	83.7363	−	257.714i	0.174088	−	0.535787i
$482$	140.058	+	189.903i	0.290577	+	0.393989i
$483$	17.6476	−	15.8899i	0.0365374	−	0.0328984i
$484$	−311.429	−	336.084i	−0.643447	−	0.694388i
$485$	30.0819	+	286.210i	0.0620244	+	0.590123i
$486$	244.159	+	415.997i	0.502384	+	0.855960i
$487$	152.564	+	342.664i	0.313273	+	0.703622i	0.999723	−	0.0235549i	$-0.00749846\pi$
$487$	152.564	+	342.664i	0.313273	+	0.703622i	−0.686450	+	0.727177i	$0.740832\pi$
$488$	17.7278	+	826.247i	0.0363274	+	1.69313i
$489$	−305.721	−	136.116i	−0.625197	−	0.278356i
$490$	−382.402	−	121.234i	−0.780411	−	0.247416i
$491$	−660.409	−	381.287i	−1.34503	−	0.776552i	−0.357488	−	0.933918i	$-0.616367\pi$
$491$	−660.409	−	381.287i	−1.34503	−	0.776552i	−0.987540	+	0.157365i	$0.949700\pi$
$492$	190.362	−	113.566i	0.386915	−	0.230825i
$493$	466.180	−	99.0897i	0.945599	−	0.200993i
$494$	470.116	−	827.881i	0.951652	−	1.67587i
$495$		−	87.2646i		−	0.176292i
$496$	−81.2923	+	489.293i	−0.163896	+	0.986478i
$497$	−222.444			−0.447573
$498$	258.499	+	146.790i	0.519074	+	0.294759i
$499$	121.819	+	573.112i	0.244126	+	1.14852i	0.913895	+	0.405952i	$0.133060\pi$
$499$	121.819	+	573.112i	0.244126	+	1.14852i	−0.669769	+	0.742570i	$0.733607\pi$
$500$	268.328	+	449.778i	0.536656	+	0.899556i
$501$	−162.078	+	280.728i	−0.323509	+	0.560334i
$502$	−188.637	+	595.008i	−0.375770	+	1.18528i
$503$	60.4723	−	135.823i	0.120223	−	0.270026i	−0.843402	−	0.537283i	$-0.819451\pi$
$503$	60.4723	−	135.823i	0.120223	−	0.270026i	0.963625	+	0.267257i	$0.0861174\pi$
$504$	148.093	−	3.17746i	0.293836	−	0.00630448i
$505$	643.319	−	286.424i	1.27390	−	0.567177i
$506$	−31.2816	+	18.3599i	−0.0618214	+	0.0362845i
$507$	39.1012	−	4.10970i	0.0771226	−	0.00810591i
$508$	−503.047	+	466.143i	−0.990250	+	0.917605i
$509$	419.105	+	465.463i	0.823389	+	0.914466i	0.997529	−	0.0702547i	$-0.0223812\pi$
$509$	419.105	+	465.463i	0.823389	+	0.914466i	−0.174140	+	0.984721i	$0.555715\pi$
$510$	156.995	−	115.788i	0.307833	−	0.227035i
$511$	115.228	+	37.4398i	0.225495	+	0.0732677i
$512$	32.9282	+	510.940i	0.0643129	+	0.997930i
$513$	−75.1866	+	715.352i	−0.146562	+	1.39445i
$514$	622.182	+	60.8990i	1.21047	+	0.118481i
$515$	564.907	+	508.644i	1.09691	+	0.987659i
$516$	99.9065	−	1.42892i	0.193617	−	0.00276923i
$517$	−49.6524	−	10.5540i	−0.0960395	−	0.0204138i
$518$	89.4551	+	39.0639i	0.172693	+	0.0754129i
$519$	50.9682	−	70.1517i	0.0982046	−	0.135167i
$520$	121.775	+	518.005i	0.234183	+	0.996164i
$521$	289.457	+	501.353i	0.555579	+	0.962291i	0.997858	+	0.0654133i	$0.0208366\pi$
$521$	289.457	+	501.353i	0.555579	+	0.962291i	−0.442280	+	0.896877i	$0.645830\pi$
$522$	−94.4381	−	429.182i	−0.180916	−	0.822188i
$523$	−399.301	−	549.590i	−0.763482	−	1.05084i	−0.996916	−	0.0784698i	$-0.974997\pi$
$523$	−399.301	−	549.590i	−0.763482	−	1.05084i	0.233435	−	0.972372i	$-0.425003\pi$
$524$	527.108	−	63.0351i	1.00593	−	0.120296i
$525$	2.84828	+	8.76609i	0.00542529	+	0.0166973i
$526$	−622.229	−	681.195i	−1.18294	−	1.29505i
$527$	−109.619	−	477.547i	−0.208006	−	0.906160i
$528$	52.3282	+	9.56736i	0.0991065	+	0.0181200i
$529$	147.717	+	454.626i	0.279238	+	0.859407i
$530$	−107.281	+	149.902i	−0.202416	+	0.282833i
$531$	197.849	+	272.316i	0.372597	+	0.512836i
$532$	280.308	+	197.593i	0.526895	+	0.371416i
$533$	−298.650	−	517.278i	−0.560320	−	0.970502i
$534$	2.79651	+	8.40185i	0.00523690	+	0.0157338i
$535$	−42.6771	+	58.7400i	−0.0797703	+	0.109794i
$536$	27.2772	−	49.6769i	0.0508903	−	0.0926808i
$537$	−14.8288	−	3.15196i	−0.0276142	−	0.00586958i
$538$	513.479	+	455.733i	0.954423	+	0.847087i
$539$	80.3062	+	72.3081i	0.148991	+	0.134152i
$540$	−240.936	−	321.839i	−0.446178	−	0.595998i
$541$	−9.96711	+	94.8307i	−0.0184235	+	0.175288i	−0.999864	−	0.0164779i	$-0.994755\pi$
$541$	−9.96711	+	94.8307i	−0.0184235	+	0.175288i	0.981441	+	0.191766i	$0.0614214\pi$
$542$	−298.051	+	135.263i	−0.549909	+	0.249562i
$543$	50.9806	+	16.5646i	0.0938870	+	0.0305057i
$544$	−222.101	−	454.397i	−0.408274	−	0.835288i
$545$	257.268	+	285.725i	0.472052	+	0.524267i
$546$	0.671075	+	93.8443i	0.00122907	+	0.171876i
$547$	−295.912	+	31.1016i	−0.540972	+	0.0568584i	−0.371074	−	0.928603i	$-0.621010\pi$
$547$	−295.912	+	31.1016i	−0.540972	+	0.0568584i	−0.169898	+	0.985462i	$0.554344\pi$
$548$	−158.765	+	513.504i	−0.289718	+	0.937052i
$549$	−687.677	+	306.173i	−1.25260	+	0.557693i
$550$	−1.57168	−	13.9904i	−0.00285760	−	0.0254372i
$551$	413.828	−	929.473i	0.751049	−	1.68688i
$552$	−28.9370	+	68.9364i	−0.0524220	+	0.124885i
$553$	−95.5812	+	165.552i	−0.172841	+	0.299370i
$554$	130.161	−	634.642i	0.234948	−	1.14556i
$555$	−24.6439	−	115.940i	−0.0444034	−	0.208902i
$556$	−44.1889	−	194.194i	−0.0794765	−	0.349269i
$557$	−219.467			−0.394016			−0.197008	−	0.980402i	$-0.563123\pi$
$557$	−219.467			−0.394016			−0.197008	+	0.980402i	$0.563123\pi$
$558$	−439.593	+	104.221i	−0.787801	+	0.186777i
$559$		−	269.238i		−	0.481642i
$560$	−189.984	+	25.4804i	−0.339258	+	0.0455008i
$561$	−51.4003	+	10.9255i	−0.0916226	+	0.0194750i
$562$	71.2060	−	347.187i	0.126701	−	0.617771i
$563$	883.425	+	510.046i	1.56914	+	0.905943i	0.996270	+	0.0862958i	$0.0275030\pi$
$563$	883.425	+	510.046i	1.56914	+	0.905943i	0.572869	+	0.819647i	$0.305830\pi$
$564$	−94.9665	+	43.9198i	−0.168380	+	0.0778719i
$565$	−212.044	−	94.4080i	−0.375299	−	0.167094i
$566$	10.9128	+	97.1409i	0.0192805	+	0.171627i
$567$	38.9411	+	87.4631i	0.0686792	+	0.154256i
$568$	633.519	−	298.505i	1.11535	−	0.525537i
$569$	63.4969	+	604.133i	0.111594	+	1.06175i	0.896777	+	0.442482i	$0.145902\pi$
$569$	63.4969	+	604.133i	0.111594	+	1.06175i	−0.785183	+	0.619263i	$0.787431\pi$
$570$	−2.97790	−	416.435i	−0.00522439	−	0.730588i
$571$	−656.696	+	591.292i	−1.15008	+	1.03554i	−0.151187	+	0.988505i	$0.548309\pi$
$571$	−656.696	+	591.292i	−1.15008	+	1.03554i	−0.998893	+	0.0470316i	$0.985024\pi$
$572$	27.7943	−	140.622i	0.0485915	−	0.245842i
$573$	−23.8483	+	73.3974i	−0.0416200	+	0.128093i
$574$	195.930	−	88.9179i	0.341342	−	0.154909i
$575$	19.6781	+	2.06825i	0.0342227	+	0.00359695i
$576$	−417.506	+	207.781i	−0.724837	+	0.360732i
$577$	604.766	−	671.661i	1.04812	−	1.16406i	0.0619923	−	0.998077i	$-0.480255\pi$
$577$	604.766	−	671.661i	1.04812	−	1.16406i	0.986129	−	0.165980i	$-0.0530788\pi$
$578$	−58.6219	−	52.0292i	−0.101422	−	0.0900159i
$579$	−20.0684	+	94.4142i	−0.0346604	+	0.163064i
$580$	183.446	+	538.271i	0.316287	+	0.928054i
$581$	233.442	+	169.606i	0.401794	+	0.291920i
$582$	−50.4636	−	151.613i	−0.0867072	−	0.260504i
$583$	43.0030	−	24.8278i	0.0737617	−	0.0425863i
$584$	−378.410	+	47.9999i	−0.647963	+	0.0821916i
$585$	−392.118	+	284.890i	−0.670287	+	0.486992i
$586$	137.954	−	192.761i	0.235417	−	0.328944i
$587$	−7.96295	+	2.58732i	−0.0135655	+	0.00440770i	−0.315792	−	0.948828i	$-0.602270\pi$
$587$	−7.96295	+	2.58732i	−0.0135655	+	0.00440770i	0.302226	+	0.953236i	$0.402270\pi$
$588$	221.830	+	20.1123i	0.377263	+	0.0342047i
$589$	−962.315	−	409.905i	−1.63381	−	0.695934i
$590$	−293.768	−	321.607i	−0.497911	−	0.545097i
$591$	−448.580	+	145.753i	−0.759019	+	0.246620i
$592$	−307.189	+	8.78901i	−0.518901	+	0.0148463i
$593$	−224.686	+	163.244i	−0.378896	+	0.275284i	−0.760890	−	0.648880i	$-0.775238\pi$
$593$	−224.686	+	163.244i	−0.378896	+	0.275284i	0.381994	+	0.924165i	$0.375238\pi$
$594$	23.2734	+	105.768i	0.0391807	+	0.178060i
$595$	163.985	−	94.6768i	0.275605	−	0.159121i
$596$	65.8577	−	117.932i	0.110499	−	0.197873i
$597$	394.923	+	286.928i	0.661513	+	0.480617i
$598$	184.623	+	80.6227i	0.308735	+	0.134821i
$599$	70.4554	−	331.467i	0.117622	−	0.553367i	−0.879389	−	0.476104i	$-0.842049\pi$
$599$	70.4554	−	331.467i	0.117622	−	0.553367i	0.997011	−	0.0772629i	$-0.0246181\pi$
$600$	−19.8754	−	21.1436i	−0.0331257	−	0.0352394i
$601$	95.6448	−	106.224i	0.159143	−	0.176746i	−0.658300	−	0.752755i	$-0.728724\pi$
$601$	95.6448	−	106.224i	0.159143	−	0.176746i	0.817443	+	0.576010i	$0.195391\pi$
$602$	96.5249	+	9.44783i	0.160340	+	0.0156941i
$603$	51.3376	+	5.39580i	0.0851370	+	0.00894826i
$604$	−223.102	+	521.023i	−0.369374	+	0.862621i
$605$	−166.889	+	513.631i	−0.275849	+	0.848977i
$606$	−314.676	+	232.081i	−0.519267	+	0.382972i
$607$	−134.466	+	121.074i	−0.221526	+	0.199463i	−0.772420	−	0.635113i	$-0.780954\pi$
$607$	−134.466	+	121.074i	−0.221526	+	0.199463i	0.550894	+	0.834576i	$0.314287\pi$
$608$	−1063.48	−	186.590i	−1.74914	−	0.306892i
$609$	10.4834	+	99.7426i	0.0172141	+	0.163781i
$610$	840.099	−	493.074i	1.37721	−	0.808319i
$611$	114.675	+	257.565i	0.187685	+	0.421547i
$612$	303.327	−	346.725i	0.495632	−	0.566544i
$613$	−455.185	−	202.661i	−0.742553	−	0.330606i	0.000354506	−	1.00000i	$-0.499887\pi$
$613$	−455.185	−	202.661i	−0.742553	−	0.330606i	−0.742908	+	0.669394i	$0.766554\pi$
$614$	305.544	−	963.763i	0.497629	−	1.56965i
$615$	−226.268	−	130.636i	−0.367915	−	0.212416i
$616$	49.4392	+	14.8992i	0.0802585	+	0.0241869i
$617$	−935.837	+	198.918i	−1.51675	+	0.322396i	−0.889688	−	0.456570i	$-0.849078\pi$
$617$	−935.837	+	198.918i	−1.51675	+	0.322396i	−0.627067	+	0.778966i	$0.715745\pi$
$618$	−367.024	−	208.416i	−0.593890	−	0.337243i
$619$			659.987i			1.06621i	0.846048	+	0.533107i	$0.178976\pi$
$619$			659.987i			1.06621i	−0.846048	+	0.533107i	$0.821024\pi$
$620$	550.246	−	197.531i	0.887493	−	0.318599i
$621$	−152.207			−0.245099
$622$	242.148	−	426.426i	0.389306	−	0.685572i
$623$	1.78707	+	8.40749i	0.00286849	+	0.0134952i
$624$	−127.844	−	266.368i	−0.204879	−	0.426872i
$625$	274.019	−	474.615i	0.438431	−	0.759384i
$626$	−572.426	−	181.478i	−0.914419	−	0.289900i
$627$	−45.6280	+	102.482i	−0.0727719	+	0.163448i
$628$	−235.018	+	268.642i	−0.374232	+	0.427774i
$629$	277.331	−	123.476i	0.440908	−	0.196305i
$630$	−88.3768	−	150.576i	−0.140281	−	0.239010i
$631$	1134.85	−	119.277i	1.79849	−	0.189029i	0.854600	−	0.519287i	$-0.173803\pi$
$631$	1134.85	−	119.277i	1.79849	−	0.189029i	0.943891	+	0.330258i	$0.107136\pi$
$632$	50.0557	−	599.754i	0.0792020	−	0.948979i
$633$	−342.415	−	380.290i	−0.540939	−	0.600774i
$634$	404.711	+	548.742i	0.638346	+	0.865524i
$635$	768.798	+	249.798i	1.21071	+	0.393382i
$636$	40.2884	−	94.0880i	0.0633466	−	0.147937i
$637$	62.7381	−	596.913i	0.0984900	−	0.937069i
$638$	14.9226	−	152.458i	0.0233896	−	0.238963i
$639$	474.041	+	426.828i	0.741848	+	0.667963i
$640$	506.882	−	327.515i	0.792003	−	0.511742i
$641$	−159.232	−	33.8458i	−0.248412	−	0.0528016i	0.0820227	−	0.996630i	$-0.473862\pi$
$641$	−159.232	−	33.8458i	−0.248412	−	0.0528016i	−0.330435	+	0.943829i	$0.607195\pi$
$642$	16.1335	−	36.9452i	0.0251301	−	0.0575471i
$643$	−67.8340	+	93.3655i	−0.105496	+	0.145203i	−0.858501	−	0.512812i	$-0.828604\pi$
$643$	−67.8340	+	93.3655i	−0.105496	+	0.145203i	0.753005	+	0.658015i	$0.228604\pi$
$644$	−35.3828	+	63.3606i	−0.0549423	+	0.0983860i
$645$	−58.8851	−	101.992i	−0.0912947	−	0.158127i
$646$	1041.67	−	229.210i	1.61249	−	0.354815i
$647$	−215.224	−	296.230i	−0.332649	−	0.457852i	0.609627	−	0.792688i	$-0.291319\pi$
$647$	−215.224	−	296.230i	−0.332649	−	0.457852i	−0.942276	+	0.334836i	$0.891319\pi$
$648$	−228.274	−	196.838i	−0.352275	−	0.303763i
$649$	36.2586	+	111.592i	0.0558683	+	0.171945i
$650$	−57.7342	+	52.7365i	−0.0888218	+	0.0811330i
$651$	102.353	−	12.4369i	0.157224	−	0.0191044i
$652$	1018.52	+	92.3442i	1.56214	+	0.141632i
$653$	190.512	+	586.335i	0.291749	+	0.897910i	0.984294	+	0.176536i	$0.0564891\pi$
$653$	190.512	+	586.335i	0.291749	+	0.897910i	−0.692546	+	0.721374i	$0.743511\pi$
$654$	−173.602	−	124.242i	−0.265447	−	0.189973i
$655$	−367.790	−	506.219i	−0.561511	−	0.772853i
$656$	−438.687	+	516.164i	−0.668730	+	0.786835i
$657$	−173.717	−	300.887i	−0.264410	−	0.457972i
$658$	−96.3643	+	32.0743i	−0.146450	+	0.0487451i
$659$	−698.119	+	960.878i	−1.05936	+	1.45809i	−0.178960	+	0.983856i	$0.557273\pi$
$659$	−698.119	+	960.878i	−1.05936	+	1.45809i	−0.880401	+	0.474229i	$0.842727\pi$
$660$	−20.2265	−	59.3489i	−0.0306462	−	0.0899226i
$661$	562.464	+	119.555i	0.850929	+	0.180871i	0.612678	−	0.790333i	$-0.290092\pi$
$661$	562.464	+	119.555i	0.850929	+	0.180871i	0.238252	+	0.971203i	$0.423426\pi$
$662$	−817.705	+	921.318i	−1.23520	+	1.39172i
$663$	216.898	+	195.296i	0.327146	+	0.294564i
$664$	−892.443	−	169.772i	−1.34404	−	0.255681i
$665$	42.2537	−	402.017i	0.0635394	−	0.604537i
$666$	−115.678	−	254.895i	−0.173690	−	0.382726i
$667$	204.758	+	66.5299i	0.306984	+	0.0997450i
$668$	192.082	−	971.814i	0.287548	−	1.45481i
$669$	−244.619	−	271.677i	−0.365648	−	0.406094i
$670$	−66.7980	+	0.477668i	−0.0996985	+	0.000712938i
$671$	−260.964	+	27.4284i	−0.388918	+	0.0408770i
$672$	99.9823	−	36.4866i	0.148783	−	0.0542955i
$673$	−1058.54	+	471.291i	−1.57286	+	0.700284i	−0.993399	−	0.114713i	$-0.963405\pi$
$673$	−1058.54	+	471.291i	−1.57286	+	0.700284i	−0.579465	+	0.814997i	$0.696739\pi$
$674$	1149.08	−	129.088i	1.70487	−	0.191525i
$675$	24.0290	−	53.9700i	0.0355985	−	0.0799556i
$676$	−109.053	+	50.4343i	−0.161321	+	0.0746070i
$677$	−443.002	+	767.302i	−0.654360	+	1.13339i	0.327694	+	0.944784i	$0.393729\pi$
$677$	−443.002	+	767.302i	−0.654360	+	1.13339i	−0.982054	+	0.188601i	$0.939605\pi$
$678$	126.250	+	25.8931i	0.186209	+	0.0381904i
$679$	−32.2480	−	151.715i	−0.0474934	−	0.223439i
$680$	−339.979	+	489.697i	−0.499969	+	0.720143i
$681$	486.316			0.714120
$682$	−156.964	−	12.8006i	−0.230152	−	0.0187692i
$683$			798.102i			1.16852i	0.811565	+	0.584262i	$0.198616\pi$
$683$			798.102i			1.16852i	−0.811565	+	0.584262i	$0.801384\pi$
$684$	−218.209	−	958.944i	−0.319018	−	1.40196i
$685$	619.684	−	131.718i	0.904649	−	0.192289i
$686$	455.743	+	93.4702i	0.664349	+	0.136254i
$687$	343.709	+	198.440i	0.500304	+	0.288851i
$688$	−287.581	+	102.623i	−0.417996	+	0.149161i
$689$	−251.953	−	112.177i	−0.365679	−	0.162811i
$690$	87.5716	−	9.83776i	0.126915	−	0.0142576i
$691$	140.230	+	314.962i	0.202938	+	0.455806i	0.986130	−	0.165973i	$-0.0530766\pi$
$691$	140.230	+	314.962i	0.202938	+	0.455806i	−0.783192	+	0.621780i	$0.786410\pi$
$692$	−78.2741	+	253.166i	−0.113113	+	0.365847i
$693$	4.91617	+	46.7742i	0.00709404	+	0.0674953i
$694$	54.4320	−	0.389240i	0.0784323	−	0.000560865i
$695$	−174.449	+	157.074i	−0.251005	+	0.226006i
$696$	−163.705	−	269.999i	−0.235208	−	0.387929i
$697$	206.782	−	636.409i	0.296674	−	0.913069i
$698$	80.4403	+	177.250i	0.115244	+	0.253940i
$699$	−400.672	−	42.1123i	−0.573208	−	0.0602466i
$700$	−16.8807	−	22.5490i	−0.0241153	−	0.0322128i
$701$	620.954	−	689.639i	0.885812	−	0.983794i	−0.114141	−	0.993465i	$-0.536412\pi$
$701$	620.954	−	689.639i	0.885812	−	0.983794i	0.999953	+	0.00967074i	$0.00307834\pi$
$702$	399.281	−	449.875i	0.568777	−	0.640847i
$703$	134.742	−	633.913i	0.191668	−	0.901725i
$704$	−160.797	+	23.9115i	−0.228404	+	0.0339652i
$705$	99.7733	+	72.4895i	0.141522	+	0.102822i
$706$	−942.329	+	313.649i	−1.33474	+	0.444261i
$707$	−328.686	+	189.767i	−0.464903	+	0.268412i
$708$	197.676	+	139.345i	0.279203	+	0.196815i
$709$	842.278	−	611.950i	1.18798	−	0.863118i	0.194930	−	0.980817i	$-0.437552\pi$
$709$	842.278	−	611.950i	1.18798	−	0.863118i	0.993049	+	0.117699i	$0.0375519\pi$
$710$	−671.263	−	480.405i	−0.945441	−	0.676627i
$711$	521.352	−	169.398i	0.733266	−	0.238253i
$712$	−16.3719	−	21.5464i	−0.0229942	−	0.0302618i
$713$	64.9780	−	211.583i	0.0911332	−	0.296750i
$714$	−77.6270	+	70.9073i	−0.108721	+	0.0993100i
$715$	−160.686	+	52.2100i	−0.224736	+	0.0730210i
$716$	46.0012	−	5.50113i	0.0642475	−	0.00768314i
$717$	−138.502	+	100.628i	−0.193169	+	0.140346i
$718$	−250.967	+	55.2232i	−0.349536	+	0.0769126i
$719$	−328.633	+	189.736i	−0.457070	+	0.263889i	−0.710811	−	0.703383i	$-0.751672\pi$
$719$	−328.633	+	189.736i	−0.457070	+	0.263889i	0.253742	+	0.967272i	$0.418339\pi$
$720$	453.760	+	310.245i	0.630223	+	0.430895i
$721$	−331.448	−	240.811i	−0.459706	−	0.333996i
$722$	622.280	−	1425.00i	0.861883	−	1.97368i
$723$	−32.1074	+	151.054i	−0.0444086	+	0.208926i
$724$	−163.797	+	2.34272i	−0.226238	+	0.00323580i
$725$	−55.9157	+	62.1007i	−0.0771252	+	0.0856562i
$726$	29.2112	−	298.440i	0.0402358	−	0.411074i
$727$	−929.800	−	97.7259i	−1.27895	−	0.134424i	−0.559422	−	0.828883i	$-0.688977\pi$
$727$	−929.800	−	97.7259i	−1.27895	−	0.134424i	−0.719532	+	0.694459i	$0.755644\pi$
$728$	−94.4545	−	270.793i	−0.129745	−	0.371968i
$729$	7.23675	−	22.2724i	0.00992696	−	0.0305520i
$730$	266.863	+	361.835i	0.365565	+	0.495665i
$731$	224.154	−	201.829i	0.306640	−	0.276100i
$732$	−396.725	+	367.621i	−0.541974	+	0.502215i
$733$	73.2064	+	696.512i	0.0998722	+	0.950221i	0.923632	+	0.383281i	$0.125206\pi$
$733$	73.2064	+	696.512i	0.0998722	+	0.950221i	−0.823759	+	0.566940i	$0.808127\pi$
$734$	434.834	+	740.868i	0.592416	+	1.00936i
$735$	−106.785	−	239.843i	−0.145286	−	0.326317i
$736$	15.7445	−	227.932i	0.0213920	−	0.309691i
$737$	16.4386	+	7.31892i	0.0223047	+	0.00993069i
$738$	−588.156	−	186.464i	−0.796960	−	0.252662i
$739$	−88.0862	−	50.8566i	−0.119197	−	0.0688181i	0.439216	−	0.898381i	$-0.355256\pi$
$739$	−88.0862	−	50.8566i	−0.119197	−	0.0688181i	−0.558413	+	0.829563i	$0.688589\pi$
$740$	185.581	+	311.076i	0.250786	+	0.420373i
$741$	609.457	−	129.544i	0.822479	−	0.174823i
$742$	49.0580	−	86.3918i	0.0661159	−	0.116431i
$743$			598.248i			0.805180i	0.915380	+	0.402590i	$0.131890\pi$
$743$			598.248i			0.805180i	−0.915380	+	0.402590i	$0.868110\pi$
$744$	−274.812	+	172.772i	−0.369370	+	0.232220i
$745$	−159.211			−0.213706
$746$	452.480	+	256.943i	0.606542	+	0.344428i
$747$	−172.038	−	809.373i	−0.230305	−	1.08350i
$748$	137.910	−	82.2743i	0.184372	−	0.109992i
$749$	19.5659	−	33.8892i	0.0261228	−	0.0452459i
$750$	−103.586	+	326.735i	−0.138114	+	0.435647i
$751$	424.548	−	953.551i	0.565311	−	1.26971i	−0.374251	−	0.927328i	$-0.622100\pi$
$751$	424.548	−	953.551i	0.565311	−	1.26971i	0.939561	−	0.342381i	$-0.111233\pi$
$752$	231.404	−	220.662i	0.307718	−	0.293434i
$753$	−373.190	+	166.155i	−0.495604	+	0.220657i
$754$	−733.779	+	430.673i	−0.973182	+	0.571184i
$755$	664.395	−	69.8307i	0.879993	−	0.0924910i
$756$	147.274	+	158.934i	0.194807	+	0.210230i
$757$	−197.270	−	219.090i	−0.260594	−	0.289419i	0.598622	−	0.801031i	$-0.295715\pi$
$757$	−197.270	−	219.090i	−0.260594	−	0.289419i	−0.859216	+	0.511612i	$0.829048\pi$
$758$	−315.520	+	232.704i	−0.416253	+	0.306997i
$759$	−22.5763	−	7.33548i	−0.0297448	−	0.00966466i
$760$	419.143	+	1201.65i	0.551504	+	1.58111i
$761$	−51.8051	+	492.892i	−0.0680750	+	0.647690i	0.906281	+	0.422676i	$0.138909\pi$
$761$	−51.8051	+	492.892i	−0.0680750	+	0.647690i	−0.974356	+	0.225014i	$0.927757\pi$
$762$	−446.702	−	43.7231i	−0.586223	−	0.0573794i
$763$	−153.994	−	138.657i	−0.201827	−	0.181726i
$764$	−3.37284	−	235.820i	−0.00441471	−	0.308665i
$765$	−531.130	−	112.895i	−0.694287	−	0.147575i
$766$	602.447	+	263.081i	0.786485	+	0.343448i
$767$	383.061	−	527.238i	0.499427	−	0.687403i
$768$	−235.787	+	238.084i	−0.307014	+	0.310005i
$769$	−199.299	−	345.195i	−0.259166	−	0.448889i	0.706853	−	0.707361i	$-0.250114\pi$
$769$	−199.299	−	345.195i	−0.259166	−	0.448889i	−0.966019	+	0.258472i	$0.916781\pi$
$770$	−13.0793	−	59.4399i	−0.0169861	−	0.0771947i
$771$	240.484	+	330.998i	0.311912	+	0.429310i
$772$	−35.0253	−	292.887i	−0.0453696	−	0.379387i
$773$	198.934	+	612.257i	0.257354	+	0.792053i	0.993357	+	0.115075i	$0.0367108\pi$
$773$	198.934	+	612.257i	0.257354	+	0.792053i	−0.736003	+	0.676978i	$0.763289\pi$
$774$	−187.572	−	205.348i	−0.242341	−	0.265307i
$775$	64.7657	+	56.4429i	0.0835687	+	0.0728295i
$776$	295.434	+	388.810i	0.380714	+	0.501043i
$777$	19.7409	+	60.7563i	0.0254066	+	0.0781934i
$778$	−463.813	+	648.079i	−0.596161	+	0.833007i
$779$	−839.664	−	1155.70i	−1.07787	−	1.48357i
$780$	−200.648	+	284.641i	−0.257241	+	0.364924i
$781$	111.180	+	192.569i	0.142355	+	0.246567i
$782$	71.2771	+	214.146i	0.0911472	+	0.273843i
$783$	377.840	−	520.052i	0.482554	−	0.664179i
$784$	−661.495	+	160.507i	−0.843744	+	0.204729i
$785$	411.519	+	87.4711i	0.524228	+	0.111428i
$786$	259.844	+	230.622i	0.330590	+	0.293412i
$787$	536.450	+	483.022i	0.681639	+	0.613751i	0.935431	−	0.353508i	$-0.115011\pi$
$787$	536.450	+	483.022i	0.681639	+	0.613751i	−0.253792	+	0.967259i	$0.581678\pi$
$788$	1153.88	−	863.823i	1.46432	−	1.09622i
$789$	63.1145	−	600.494i	0.0799930	−	0.761082i
$790$	−645.970	+	293.157i	−0.817683	+	0.371085i
$791$	118.975	+	38.6573i	0.150411	+	0.0488715i
$792$	−76.7693	−	126.616i	−0.0969309	−	0.159868i
$793$	975.211	+	1083.08i	1.22977	+	1.36580i
$794$	−2.17294	−	303.868i	−0.00273670	−	0.382705i
$795$	−119.978	+	12.6102i	−0.150916	+	0.0158619i
$796$	−1425.22	−	440.649i	−1.79047	−	0.553579i
$797$	−278.621	+	124.050i	−0.349587	+	0.155646i	−0.574016	−	0.818844i	$-0.694615\pi$
$797$	−278.621	+	124.050i	−0.349587	+	0.155646i	0.224429	+	0.974491i	$0.427948\pi$
$798$	25.0566	+	223.043i	0.0313993	+	0.279503i
$799$	−128.472	+	288.552i	−0.160791	+	0.361142i
$800$	78.3355	+	41.5666i	0.0979194	+	0.0519583i
$801$	12.3241	−	21.3459i	0.0153859	−	0.0266491i
$802$	−87.7377	+	427.793i	−0.109399	+	0.533407i
$803$	−25.1805	−	118.465i	−0.0313581	−	0.147528i
$804$	36.1655	−	8.22949i	0.0449820	−	0.0102357i
$805$	85.5379			0.106258
$806$	454.916	+	747.096i	0.564412	+	0.926918i
$807$			449.317i			0.556775i
$808$	681.443	−	981.532i	0.843370	−	1.21477i
$809$	−436.200	+	92.7172i	−0.539184	+	0.114607i	−0.469451	−	0.882959i	$-0.655548\pi$
$809$	−436.200	+	92.7172i	−0.539184	+	0.114607i	−0.0697332	+	0.997566i	$0.522215\pi$
$810$	−71.3799	+	348.035i	−0.0881234	+	0.429673i
$811$	−725.941	−	419.122i	−0.895118	−	0.516797i	−0.0195050	−	0.999810i	$-0.506209\pi$
$811$	−725.941	−	419.122i	−0.895118	−	0.516797i	−0.875613	+	0.483013i	$0.839542\pi$
$812$	−128.652	−	278.181i	−0.158439	−	0.342588i
$813$	−195.689	−	87.1263i	−0.240700	−	0.107166i
$814$	−10.8931	−	96.9654i	−0.0133821	−	0.119122i
$815$	−490.294	−	1101.22i	−0.601588	−	1.35119i
$816$	125.929	−	306.115i	0.154324	−	0.375140i
$817$	−67.3076	−	640.389i	−0.0823839	−	0.783830i
$818$	7.62224	+	1065.91i	0.00931815	+	1.30307i
$819$	194.127	−	174.793i	0.237030	−	0.213423i
$820$	783.287	+	154.819i	0.955228	+	0.188804i
$821$	−167.439	+	515.324i	−0.203945	+	0.627678i	0.795810	+	0.605546i	$0.207045\pi$
$821$	−167.439	+	515.324i	−0.203945	+	0.627678i	−0.999755	+	0.0221318i	$0.992955\pi$
$822$	−320.319	+	145.369i	−0.389682	+	0.176847i
$823$	−276.997	−	29.1136i	−0.336570	−	0.0353749i	−0.0652639	−	0.997868i	$-0.520789\pi$
$823$	−276.997	−	29.1136i	−0.336570	−	0.0353749i	−0.271306	+	0.962493i	$0.587456\pi$
$824$	1267.12	+	241.048i	1.53776	+	0.292534i
$825$	6.16518	−	6.84712i	0.00747294	−	0.00829954i
$826$	175.579	+	155.833i	0.212566	+	0.188660i
$827$	−228.271	+	1073.93i	−0.276023	+	1.29859i	0.593555	+	0.804793i	$0.297724\pi$
$827$	−228.271	+	1073.93i	−0.276023	+	1.29859i	−0.869579	+	0.493794i	$0.835610\pi$
$828$	196.980	−	67.1321i	0.237899	−	0.0810774i
$829$	129.071	+	93.7758i	0.155695	+	0.113119i	0.662905	−	0.748703i	$-0.269323\pi$
$829$	129.071	+	93.7758i	0.155695	+	0.113119i	−0.507210	+	0.861822i	$0.669323\pi$
$830$	338.161	+	1015.97i	0.407423	+	1.22406i
$831$	367.186	−	211.995i	0.441860	−	0.255108i
$832$	632.393	+	644.466i	0.760088	+	0.774599i
$833$	543.991	−	395.232i	0.653050	−	0.474469i
$834$	75.8558	−	105.992i	0.0909542	−	0.127089i
$835$	−1110.47	+	360.815i	−1.32991	+	0.432114i
$836$	30.9551	−	341.421i	0.0370276	−	0.408398i
$837$	−540.864	−	379.730i	−0.646194	−	0.453680i
$838$	−283.786	−	310.680i	−0.338647	−	0.370739i
$839$	956.427	−	310.762i	1.13996	−	0.370396i	0.322607	−	0.946533i	$-0.395441\pi$
$839$	956.427	−	310.762i	1.13996	−	0.370396i	0.817353	+	0.576137i	$0.195441\pi$
$840$	−95.0063	−	81.9230i	−0.113103	−	0.0975273i
$841$	−55.2269	+	40.1247i	−0.0656681	+	0.0477107i
$842$	−31.4363	−	142.865i	−0.0373353	−	0.169673i
$843$	200.873	−	115.974i	0.238283	−	0.137573i
$844$	1365.37	+	762.471i	1.61773	+	0.903401i
$845$	114.573	+	83.2418i	0.135589	+	0.0985110i
$846$	266.903	+	116.553i	0.315488	+	0.137770i
$847$	60.5171	−	284.711i	0.0714488	−	0.336140i
$848$	−23.7849	+	311.876i	−0.0280482	+	0.367779i
$849$	−42.8071	+	47.5421i	−0.0504206	+	0.0559978i
$850$	−87.1851	−	8.53365i	−0.102571	−	0.0100396i
$851$	136.385	+	14.3347i	0.160265	+	0.0168445i
$852$	421.328	+	180.412i	0.494517	+	0.211752i
$853$	221.194	−	680.765i	0.259313	−	0.798083i	−0.733636	−	0.679542i	$-0.762178\pi$
$853$	221.194	−	680.765i	0.259313	−	0.798083i	0.992949	−	0.118541i	$-0.0378216\pi$
$854$	−422.519	+	311.618i	−0.494753	+	0.364893i
$855$	−861.443	+	775.646i	−1.00754	+	0.907189i
$856$	−10.2466	+	122.773i	−0.0119704	+	0.143426i
$857$	−4.88236	−	46.4526i	−0.00569704	−	0.0542037i	0.991304	−	0.131591i	$-0.0420087\pi$
$857$	−4.88236	−	46.4526i	−0.00569704	−	0.0542037i	−0.997001	+	0.0773878i	$0.975342\pi$
$858$	80.9052	−	47.4853i	0.0942952	−	0.0553441i
$859$	−513.294	−	1152.88i	−0.597548	−	1.34211i	−0.918651	−	0.395070i	$-0.870720\pi$
$859$	−513.294	−	1152.88i	−0.597548	−	1.34211i	0.321103	−	0.947044i	$-0.395946\pi$
$860$	270.877	+	236.973i	0.314973	+	0.275550i
$861$	128.640	+	57.2743i	0.149408	+	0.0665207i
$862$	−266.436	+	840.408i	−0.309091	+	0.974951i
$863$	−982.982	−	567.525i	−1.13903	−	0.657618i	−0.192839	−	0.981230i	$-0.561769\pi$
$863$	−982.982	−	567.525i	−1.13903	−	0.657618i	−0.946190	+	0.323612i	$0.895103\pi$
$864$	−632.716	−	255.010i	−0.732310	−	0.295151i
$865$	305.515	−	64.9392i	0.353196	−	0.0750742i
$866$	−1096.11	−	622.434i	−1.26572	−	0.718746i
$867$		−	51.2968i		−	0.0591658i
$868$	−283.806	+	136.877i	−0.326966	+	0.157692i
$869$	191.090			0.219896
$870$	−183.776	+	323.632i	−0.211237	+	0.371990i
$871$	−20.7794	−	97.7595i	−0.0238570	−	0.112238i
$872$	624.643	+	188.244i	0.716333	+	0.215876i
$873$	−222.391	+	385.192i	−0.254743	+	0.441228i
$874$	459.287	+	145.609i	0.525500	+	0.166600i
$875$	−135.325	+	303.945i	−0.154657	+	0.347366i
$876$	−187.886	−	164.370i	−0.214482	−	0.187637i
$877$	79.5583	−	35.4216i	0.0907164	−	0.0403896i	−0.360877	−	0.932614i	$-0.617523\pi$
$877$	79.5583	−	35.4216i	0.0907164	−	0.0403896i	0.451593	+	0.892224i	$0.350856\pi$
$878$	−343.483	−	585.225i	−0.391211	−	0.666543i
$879$	154.283	−	16.2158i	0.175521	−	0.0184480i
$880$	117.014	+	151.733i	0.132971	+	0.172424i
$881$	1108.73	+	1231.37i	1.25849	+	1.39769i	0.881985	+	0.471277i	$0.156207\pi$
$881$	1108.73	+	1231.37i	1.25849	+	1.39769i	0.376503	+	0.926416i	$0.377127\pi$
$882$	−368.006	−	498.974i	−0.417240	−	0.565730i
$883$	−410.222	−	133.289i	−0.464577	−	0.150950i	0.0673694	−	0.997728i	$-0.478539\pi$
$883$	−410.222	−	133.289i	−0.464577	−	0.150950i	−0.531947	+	0.846778i	$0.678539\pi$
$884$	−819.926	−	351.092i	−0.927518	−	0.397163i
$885$	29.7977	−	283.506i	0.0336697	−	0.320346i
$886$	101.692	−	1038.95i	0.114776	−	1.17262i
$887$	910.871	+	820.152i	1.02691	+	0.924636i	0.997189	−	0.0749223i	$-0.0238709\pi$
$887$	910.871	+	820.152i	1.02691	+	0.924636i	0.0297228	+	0.999558i	$0.490538\pi$
$888$	−137.753	−	146.543i	−0.155127	−	0.165026i
$889$	−426.152	−	90.5814i	−0.479361	−	0.101891i
$890$	−12.7646	+	29.2306i	−0.0143423	+	0.0328433i
$891$	56.2534	−	77.4261i	0.0631351	−	0.0868980i
$892$	975.410	+	544.704i	1.09351	+	0.610655i
$893$	337.148	+	583.958i	0.377546	+	0.653928i
$894$	86.3351	−	18.9973i	0.0965717	−	0.0212498i
$895$	−32.0973	−	44.1782i	−0.0358629	−	0.0493611i
$896$	−253.240	+	204.106i	−0.282634	+	0.227796i
$897$	40.7427	+	125.393i	0.0454210	+	0.139792i
$898$	−762.672	+	696.652i	−0.849300	+	0.775782i
$899$	561.623	+	747.250i	0.624720	+	0.831201i
$900$	−7.29350	+	80.4442i	−0.00810389	+	0.0893824i
$901$	−95.4792	−	293.855i	−0.105970	−	0.326143i
$902$	−174.904	−	125.174i	−0.193907	−	0.138774i
$903$	37.3086	+	51.3508i	0.0413162	+	0.0568669i
$904$	−390.717	+	49.5609i	−0.432209	+	0.0548240i
$905$	96.5421	+	167.216i	0.106676	+	0.184769i
$906$	−351.949	+	117.144i	−0.388464	+	0.129298i
$907$	−445.726	+	613.489i	−0.491428	+	0.676393i	−0.980651	−	0.195766i	$-0.937281\pi$
$907$	−445.726	+	613.489i	−0.491428	+	0.676393i	0.489222	+	0.872159i	$0.337281\pi$
$908$	−1406.72	+	479.419i	−1.54925	+	0.527994i
$909$	1064.58	+	226.283i	1.17115	+	0.248936i
$910$	−224.390	+	252.823i	−0.246582	+	0.277827i
$911$	−490.451	−	441.604i	−0.538365	−	0.484746i	0.354509	−	0.935053i	$-0.384648\pi$
$911$	−490.451	−	441.604i	−0.538365	−	0.484746i	−0.892874	+	0.450306i	$0.851315\pi$
$912$	−370.671	−	601.603i	−0.406438	−	0.659653i
$913$	30.1503	−	286.861i	0.0330233	−	0.314196i
$914$	417.810	+	920.641i	0.457122	+	1.00727i
$915$	606.308	+	197.002i	0.662632	+	0.215302i
$916$	−1189.84	−	235.176i	−1.29895	−	0.256742i
$917$	225.656	+	250.616i	0.246080	+	0.273300i
$918$	673.857	−	4.81871i	0.734049	−	0.00524914i
$919$	−578.048	+	60.7553i	−0.628997	+	0.0661103i	−0.413663	−	0.910430i	$-0.635751\pi$
$919$	−578.048	+	60.7553i	−0.628997	+	0.0661103i	−0.215334	+	0.976540i	$0.569084\pi$
$920$	−243.612	+	114.786i	−0.264796	+	0.124768i
$921$	604.473	−	269.129i	0.656323	−	0.292214i
$922$	−821.262	+	92.2603i	−0.890740	+	0.100065i
$923$	502.330	−	1128.25i	0.544236	−	1.22237i
$924$	14.1850	+	30.6718i	0.0153517	+	0.0331946i
$925$	−26.6141	+	46.0970i	−0.0287720	+	0.0498346i
$926$	976.183	+	200.209i	1.05419	+	0.216209i
$927$	244.264	+	1149.17i	0.263499	+	1.23967i
$928$	739.703	+	619.617i	0.797094	+	0.667691i
$929$	511.294			0.550371			0.275185	−	0.961391i	$-0.411261\pi$
$929$	511.294			0.550371			0.275185	+	0.961391i	$0.411261\pi$
$930$	335.728	+	183.518i	0.360998	+	0.197331i
$931$		−	1435.46i		−	1.54185i
$932$	1200.50	−	273.175i	1.28809	−	0.293107i
$933$	313.920	−	66.7257i	0.336463	−	0.0715174i
$934$	947.838	+	194.396i	1.01482	+	0.208132i
$935$	−163.923	−	94.6408i	−0.175318	−	0.101220i
$936$	−318.314	+	758.317i	−0.340079	+	0.810168i
$937$	315.516	+	140.477i	0.336730	+	0.149922i	0.568134	−	0.822936i	$-0.307665\pi$
$937$	315.516	+	140.477i	0.336730	+	0.149922i	−0.231405	+	0.972858i	$0.574332\pi$
$938$	35.7771	−	4.01919i	0.0381419	−	0.00428485i
$939$	−159.849	−	359.026i	−0.170233	−	0.382350i
$940$	−360.066	−	111.325i	−0.383049	−	0.118431i
$941$	−178.424	−	1697.59i	−0.189611	−	1.80403i	−0.513669	−	0.857989i	$-0.671714\pi$
$941$	−178.424	−	1697.59i	−0.189611	−	1.80403i	0.324058	−	0.946037i	$-0.394953\pi$
$942$	−233.591	+	1.67040i	−0.247974	+	0.00177325i
$943$	224.641	−	202.267i	0.238219	−	0.214494i
$944$	−709.167	−	208.197i	−0.751237	−	0.220548i
$945$	78.9216	−	242.896i	0.0835149	−	0.257032i
$946$	−40.0652	−	88.2834i	−0.0423522	−	0.0933228i
$947$	1776.93	+	186.763i	1.87638	+	0.197216i	0.972871	−	0.231349i	$-0.0743140\pi$
$947$	1776.93	+	186.763i	1.87638	+	0.197216i	0.903511	+	0.428565i	$0.140981\pi$
$948$	315.310	−	236.048i	0.332605	−	0.248996i
$949$	−450.109	+	499.897i	−0.474298	+	0.526762i
$950$	−124.138	+	139.868i	−0.130672	+	0.147230i
$951$	−92.7775	+	436.484i	−0.0975579	+	0.458974i
$952$	154.643	−	281.633i	0.162440	−	0.295833i
$953$	−1448.22	−	1052.20i	−1.51965	−	1.10409i	−0.961662	−	0.274237i	$-0.911575\pi$
$953$	−1448.22	−	1052.20i	−1.51965	−	1.10409i	−0.557985	−	0.829851i	$-0.688425\pi$
$954$	−270.316	+	89.9729i	−0.283350	+	0.0943112i
$955$	−240.742	+	138.993i	−0.252086	+	0.145542i
$956$	301.432	−	427.614i	0.315305	−	0.447295i
$957$	81.1071	−	58.9278i	0.0847514	−	0.0615755i
$958$	−374.916	−	268.317i	−0.391353	−	0.280081i
$959$	−324.733	+	105.512i	−0.338616	+	0.110023i
$960$	380.513	+	105.824i	0.396368	+	0.110234i
$961$	758.762	−	589.747i	0.789554	−	0.613681i
$962$	−400.146	+	365.508i	−0.415952	+	0.379946i
$963$	−106.723	+	34.6765i	−0.110824	+	0.0360089i
$964$	−56.0372	−	468.591i	−0.0581298	−	0.486090i
$965$	−281.280	+	204.362i	−0.291481	+	0.211774i
$966$	−46.3846	+	10.2066i	−0.0480172	+	0.0105658i
$967$	−107.174	+	61.8770i	−0.110831	+	0.0639886i	−0.554391	−	0.832256i	$-0.687049\pi$
$967$	−107.174	+	61.8770i	−0.110831	+	0.0639886i	0.443560	+	0.896245i	$0.353715\pi$
$968$	209.711	+	892.066i	0.216643	+	0.921556i
$969$	564.720	+	410.293i	0.582787	+	0.423419i
$970$	230.340	−	527.472i	0.237464	−	0.543786i
$971$	−21.3712	+	100.544i	−0.0220095	+	0.103546i	−0.987781	−	0.155847i	$-0.950189\pi$
$971$	−21.3712	+	100.544i	−0.0220095	+	0.103546i	0.965772	+	0.259393i	$0.0835226\pi$
$972$	−13.7965	−	964.612i	−0.0141939	−	0.992399i
$973$	84.6564	−	94.0204i	0.0870055	−	0.0966294i
$974$	73.0787	−	746.617i	0.0750295	−	0.766547i
$975$	−50.8944	−	5.34922i	−0.0521994	−	0.00548637i
$976$	785.162	−	1454.48i	0.804469	−	1.49025i
$977$	142.055	−	437.202i	0.145400	−	0.447494i	−0.851663	−	0.524090i	$-0.824405\pi$
$977$	142.055	−	437.202i	0.145400	−	0.447494i	0.997062	+	0.0765966i	$0.0244054\pi$
$978$	397.271	+	538.654i	0.406208	+	0.550771i
$979$	6.38514	−	5.74921i	0.00652210	−	0.00587253i
$980$	545.328	+	588.500i	0.556457	+	0.600510i
$981$	62.1136	+	590.972i	0.0633166	+	0.602418i
$982$	772.000	+	1315.33i	0.786150	+	1.33944i
$983$	23.8584	+	53.5869i	0.0242710	+	0.0545136i	0.925274	−	0.379299i	$-0.123835\pi$
$983$	23.8584	+	53.5869i	0.0242710	+	0.0545136i	−0.901003	+	0.433812i	$0.857168\pi$
$984$	−443.226	+	9.50974i	−0.450433	+	0.00966437i
$985$	−1552.07	−	691.027i	−1.57571	−	0.701550i
$986$	−908.621	−	288.062i	−0.921522	−	0.292152i
$987$	−57.5628	−	33.2339i	−0.0583209	−	0.0336716i
$988$	−1635.21	+	975.533i	−1.65507	+	0.987382i
$989$	133.279	−	28.3294i	0.134762	−	0.0286445i
$990$	−86.1816	+	151.767i	−0.0870521	+	0.153300i
$991$		−	382.023i		−	0.385492i	−0.981249	−	0.192746i	$-0.938261\pi$
$991$		−	382.023i		−	0.385492i	0.981249	−	0.192746i	$-0.0617393\pi$
$992$	624.600	−	770.674i	0.629637	−	0.776889i
$993$	−806.194			−0.811877
$994$	386.864	+	219.683i	0.389200	+	0.221009i
$995$	365.579	+	1719.92i	0.367416	+	1.72856i
$996$	−304.602	−	510.581i	−0.305825	−	0.512632i
$997$	−299.895	+	519.434i	−0.300798	+	0.520997i	−0.976317	−	0.216345i	$-0.930586\pi$
$997$	−299.895	+	519.434i	−0.300798	+	0.520997i	0.675519	+	0.737343i	$0.263920\pi$
$998$	354.137	−	1117.04i	0.354847	−	1.11928i
$999$	166.541	−	374.057i	0.166708	−	0.374432i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	124.3.n.a.7.6	✓	240
4.3	odd	2	inner	124.3.n.a.7.20	yes	240
31.9	even	15	inner	124.3.n.a.71.20	yes	240
124.71	odd	30	inner	124.3.n.a.71.6	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
124.3.n.a.7.6	✓	240	1.1	even	1	trivial
124.3.n.a.7.20	yes	240	4.3	odd	2	inner
124.3.n.a.71.6	yes	240	124.71	odd	30	inner
124.3.n.a.71.20	yes	240	31.9	even	15	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 124 = 2^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	124.n (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.73916 - 0.987589i) q^{2} +(-0.272138 - 1.28031i) q^{3} +(2.04934 + 3.43515i) q^{4} +(2.35737 - 4.08308i) q^{5} +(-0.791127 + 2.49542i) q^{6} +(-1.03353 + 2.32136i) q^{7} +(-0.171606 - 7.99816i) q^{8} +(6.65678 - 2.96379i) q^{9} +O(q^{10})\)	\(q+(-1.73916 - 0.987589i) q^{2} +(-0.272138 - 1.28031i) q^{3} +(2.04934 + 3.43515i) q^{4} +(2.35737 - 4.08308i) q^{5} +(-0.791127 + 2.49542i) q^{6} +(-1.03353 + 2.32136i) q^{7} +(-0.171606 - 7.99816i) q^{8} +(6.65678 - 2.96379i) q^{9} +(-8.13224 + 4.77301i) q^{10} +(2.52616 - 0.265510i) q^{11} +(3.84034 - 3.55861i) q^{12} +(-9.44014 - 10.4843i) q^{13} +(4.09003 - 3.01650i) q^{14} +(-5.86913 - 1.90699i) q^{15} +(-7.60044 + 14.0795i) q^{16} +(1.65211 - 15.7188i) q^{17} +(-14.5042 - 1.41967i) q^{18} +(-25.0746 - 22.5773i) q^{19} +(18.8570 - 0.269705i) q^{20} +(3.25331 + 0.691513i) q^{21} +(-4.65561 - 2.03304i) q^{22} +(4.19670 - 5.77627i) q^{23} +(-10.1934 + 2.39631i) q^{24} +(1.38563 + 2.39999i) q^{25} +(6.06367 + 27.5569i) q^{26} +(-12.5303 - 17.2465i) q^{27} +(-10.0923 + 1.20690i) q^{28} +(9.31810 + 28.6782i) q^{29} +(8.32401 + 9.11285i) q^{30} +(29.3237 - 10.0558i) q^{31} +(27.1232 - 16.9804i) q^{32} +(-1.02740 - 3.16201i) q^{33} +(-18.3970 + 25.7058i) q^{34} +(7.04187 + 9.69230i) q^{35} +(23.8230 + 16.7932i) q^{36} +(9.60359 + 16.6339i) q^{37} +(21.3116 + 64.0289i) q^{38} +(-10.8542 + 14.9395i) q^{39} +(-33.0617 - 18.1539i) q^{40} +(41.4123 + 8.80247i) q^{41} +(-4.97509 - 4.41559i) q^{42} +(14.1821 + 12.7697i) q^{43} +(6.08902 + 8.13361i) q^{44} +(3.59109 - 34.1669i) q^{45} +(-13.0033 + 5.90122i) q^{46} +(-19.0062 - 6.17550i) q^{47} +(20.0945 + 5.89933i) q^{48} +(28.4669 + 31.6157i) q^{49} +(-0.0396333 - 5.54239i) q^{50} +(-20.5745 + 2.16246i) q^{51} +(16.6692 - 53.9142i) q^{52} +(17.8588 - 7.95125i) q^{53} +(4.75975 + 42.3693i) q^{54} +(4.87099 - 10.9404i) q^{55} +(18.7439 + 7.86801i) q^{56} +(-22.0821 + 38.2474i) q^{57} +(12.1166 - 59.0783i) q^{58} +(9.60418 + 45.1841i) q^{59} +(-5.47701 - 24.0694i) q^{60} -103.305 q^{61} +(-60.9296 - 11.4712i) q^{62} +18.5159i q^{63} +(-63.9411 + 2.74507i) q^{64} +(-65.0623 + 13.8294i) q^{65} +(-1.33596 + 6.51387i) q^{66} +(6.13504 + 3.54207i) q^{67} +(57.3820 - 26.5378i) q^{68} +(-8.53748 - 3.80113i) q^{69} +(-2.67491 - 23.8109i) q^{70} +(35.6059 + 79.9721i) q^{71} +(-24.8472 - 52.7334i) q^{72} +(-4.98395 - 47.4191i) q^{73} +(-0.274692 - 38.4134i) q^{74} +(2.69564 - 2.42716i) q^{75} +(26.1700 - 132.404i) q^{76} +(-1.99453 + 6.13853i) q^{77} +(33.6311 - 15.2626i) q^{78} +(74.8178 + 7.86367i) q^{79} +(39.5708 + 64.2239i) q^{80} +(25.2112 - 27.9999i) q^{81} +(-63.3294 - 56.2072i) q^{82} +(23.6096 - 111.075i) q^{83} +(4.29168 + 12.5927i) q^{84} +(-60.2864 - 43.8007i) q^{85} +(-12.0538 - 36.2146i) q^{86} +(34.1810 - 19.7344i) q^{87} +(-2.55710 - 20.1591i) q^{88} +(2.73658 - 1.98824i) q^{89} +(-39.9883 + 55.8751i) q^{90} +(34.0946 - 11.0780i) q^{91} +(28.4428 + 2.57877i) q^{92} +(-20.8546 - 34.8068i) q^{93} +(26.9560 + 29.5105i) q^{94} +(-151.295 + 49.1588i) q^{95} +(-29.1214 - 30.1050i) q^{96} +(-49.3822 + 35.8783i) q^{97} +(-18.2851 - 83.0983i) q^{98} +(16.0292 - 9.25445i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9}+O(q^{10}) \) 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9	\( 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9} - 4 q^{10} + 27 q^{12} - 26 q^{13} + 10 q^{14} + 46 q^{16} - 18 q^{17} - 11 q^{18} + 143 q^{20} + 90 q^{21} + 77 q^{22} - 54 q^{24} - 464 q^{25} - 27 q^{26} - 52 q^{28} - 12 q^{29} + 206 q^{30} + 154 q^{32} + 72 q^{33} - 168 q^{34} + 23 q^{36} - 48 q^{37} - 78 q^{38} + 85 q^{40} - 18 q^{41} - 91 q^{42} - 493 q^{44} - 30 q^{45} + 198 q^{46} - 314 q^{48} + 48 q^{49} - 563 q^{50} - 551 q^{52} + 46 q^{53} - 600 q^{54} - 90 q^{56} - 44 q^{57} - 125 q^{58} - 77 q^{60} + 208 q^{61} - 17 q^{62} - 529 q^{64} + 132 q^{65} + 788 q^{66} + 364 q^{68} + 36 q^{69} + 586 q^{70} + 1113 q^{72} + 214 q^{73} + 351 q^{74} + 824 q^{76} + 456 q^{77} + 123 q^{78} + 410 q^{80} + 90 q^{81} - 718 q^{82} - 412 q^{84} + 394 q^{85} + 680 q^{86} - 141 q^{88} + 12 q^{89} + 193 q^{90} - 520 q^{92} + 82 q^{93} - 876 q^{94} + 888 q^{96} - 548 q^{97} + 32 q^{98}+O(q^{100}) \) 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9 - 4 * q^10 + 27 * q^12 - 26 * q^13 + 10 * q^14 + 46 * q^16 - 18 * q^17 - 11 * q^18 + 143 * q^20 + 90 * q^21 + 77 * q^22 - 54 * q^24 - 464 * q^25 - 27 * q^26 - 52 * q^28 - 12 * q^29 + 206 * q^30 + 154 * q^32 + 72 * q^33 - 168 * q^34 + 23 * q^36 - 48 * q^37 - 78 * q^38 + 85 * q^40 - 18 * q^41 - 91 * q^42 - 493 * q^44 - 30 * q^45 + 198 * q^46 - 314 * q^48 + 48 * q^49 - 563 * q^50 - 551 * q^52 + 46 * q^53 - 600 * q^54 - 90 * q^56 - 44 * q^57 - 125 * q^58 - 77 * q^60 + 208 * q^61 - 17 * q^62 - 529 * q^64 + 132 * q^65 + 788 * q^66 + 364 * q^68 + 36 * q^69 + 586 * q^70 + 1113 * q^72 + 214 * q^73 + 351 * q^74 + 824 * q^76 + 456 * q^77 + 123 * q^78 + 410 * q^80 + 90 * q^81 - 718 * q^82 - 412 * q^84 + 394 * q^85 + 680 * q^86 - 141 * q^88 + 12 * q^89 + 193 * q^90 - 520 * q^92 + 82 * q^93 - 876 * q^94 + 888 * q^96 - 548 * q^97 + 32 * q^98

Introduction

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