LMFDB - Embedded newform 98.2.e.a.29.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([10]))

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

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} + \cdots + 729 $ x^18 - 6x^17 + 15x^16 - 23x^15 + 72x^14 - 85x^13 + 432x^12 - 282x^11 + 1786x^10 - 1092x^9 + 7272x^8 - 10168x^7 + 25378x^6 - 43359x^5 + 57726x^4 - 56565x^3 + 38232x^2 - 6804*x + 729
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 7 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			29.1
Root			$-0.392347 - 1.71899i$ of defining polynomial
Character	$\chi$	$=$	98.29
Dual form			98.2.e.a.71.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.900969 - 0.433884i) q^{2} +(-0.614868 - 2.69391i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.0678680 + 0.297349i) q^{5} +(-0.614868 + 2.69391i) q^{6} +(-1.53790 - 2.15287i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(-4.17621 + 2.01115i) q^{9} +O(q^{10})$	\(q+(-0.900969 - 0.433884i) q^{2} +(-0.614868 - 2.69391i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.0678680 + 0.297349i) q^{5} +(-0.614868 + 2.69391i) q^{6} +(-1.53790 - 2.15287i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(-4.17621 + 2.01115i) q^{9} +(0.0678680 - 0.297349i) q^{10} +(-2.90237 - 1.39771i) q^{11} +(1.72282 - 2.16035i) q^{12} +(3.16542 + 1.52439i) q^{13} +(0.451508 + 2.60694i) q^{14} +(0.759303 - 0.365661i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(2.75535 - 3.45509i) q^{17} +4.63524 q^{18} +7.35859 q^{19} +(-0.190162 + 0.238455i) q^{20} +(-4.85404 + 5.46671i) q^{21} +(2.00850 + 2.51859i) q^{22} +(0.386439 + 0.484579i) q^{23} +(-2.48955 + 1.19890i) q^{24} +(4.42103 - 2.12906i) q^{25} +(-2.19054 - 2.74685i) q^{26} +(2.81723 + 3.53269i) q^{27} +(0.724314 - 2.54467i) q^{28} +(-5.75602 + 7.21782i) q^{29} -0.842763 q^{30} +0.217697 q^{31} +(0.623490 - 0.781831i) q^{32} +(-1.98073 + 8.67815i) q^{33} +(-3.98159 + 1.91743i) q^{34} +(0.535779 - 0.603405i) q^{35} +(-4.17621 - 2.01115i) q^{36} +(3.50174 - 4.39104i) q^{37} +(-6.62986 - 3.19277i) q^{38} +(2.16025 - 9.46468i) q^{39} +(0.274792 - 0.132333i) q^{40} +(-1.74891 - 7.66248i) q^{41} +(6.74526 - 2.81925i) q^{42} +(-1.05285 + 4.61285i) q^{43} +(-0.716827 - 3.14062i) q^{44} +(-0.881446 - 1.10530i) q^{45} +(-0.137919 - 0.604261i) q^{46} +(6.67942 + 3.21664i) q^{47} +2.76319 q^{48} +(-2.26970 + 6.62182i) q^{49} -4.90698 q^{50} +(-11.0019 - 5.29824i) q^{51} +(0.781795 + 3.42527i) q^{52} +(0.591357 + 0.741538i) q^{53} +(-1.00546 - 4.40519i) q^{54} +(0.218629 - 0.957878i) q^{55} +(-1.75668 + 1.97840i) q^{56} +(-4.52456 - 19.8234i) q^{57} +(8.31769 - 4.00559i) q^{58} +(-1.27096 + 5.56845i) q^{59} +(0.759303 + 0.365661i) q^{60} +(-5.07995 + 6.37005i) q^{61} +(-0.196138 - 0.0944551i) q^{62} +(10.7524 + 5.89787i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.238444 + 1.04469i) q^{65} +(5.54989 - 6.95934i) q^{66} -10.6258 q^{67} +4.41923 q^{68} +(1.06781 - 1.33899i) q^{69} +(-0.744528 + 0.311183i) q^{70} +(4.03119 + 5.05495i) q^{71} +(2.89002 + 3.62398i) q^{72} +(-7.99496 + 3.85017i) q^{73} +(-5.06015 + 2.43684i) q^{74} +(-8.45385 - 10.6008i) q^{75} +(4.58801 + 5.75318i) q^{76} +(1.45448 + 8.39798i) q^{77} +(-6.05289 + 7.59008i) q^{78} +6.04550 q^{79} -0.304996 q^{80} +(-0.885528 + 1.11042i) q^{81} +(-1.74891 + 7.66248i) q^{82} +(3.28884 - 1.58382i) q^{83} +(-7.30049 - 0.386601i) q^{84} +(1.21437 + 0.584809i) q^{85} +(2.95003 - 3.69922i) q^{86} +(22.9834 + 11.0682i) q^{87} +(-0.716827 + 3.14062i) q^{88} +(12.1155 - 5.83449i) q^{89} +(0.314584 + 1.37828i) q^{90} +(-1.58631 - 9.15911i) q^{91} +(-0.137919 + 0.604261i) q^{92} +(-0.133855 - 0.586457i) q^{93} +(-4.62230 - 5.79618i) q^{94} +(0.499412 + 2.18807i) q^{95} +(-2.48955 - 1.19890i) q^{96} -1.31171 q^{97} +(4.91803 - 4.98126i) q^{98} +14.9319 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{3}{7}\right)$

Coefficient data

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

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

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

$2$	−0.900969	−	0.433884i	−0.637081	−	0.306802i
$2$	−0.900969	−	0.433884i	−0.637081	−	0.306802i
$3$	−0.614868	−	2.69391i	−0.354994	−	1.55533i	−0.765477	−	0.643464i	$-0.777497\pi$
$3$	−0.614868	−	2.69391i	−0.354994	−	1.55533i	0.410482	−	0.911869i	$-0.365360\pi$
$4$	0.623490	+	0.781831i	0.311745	+	0.390916i
$5$	0.0678680	+	0.297349i	0.0303515	+	0.132979i	0.987834	−	0.155514i	$-0.0497032\pi$
$5$	0.0678680	+	0.297349i	0.0303515	+	0.132979i	−0.957482	+	0.288492i	$0.906846\pi$
$6$	−0.614868	+	2.69391i	−0.251019	+	1.09979i
$7$	−1.53790	−	2.15287i	−0.581273	−	0.813709i
$7$	−1.53790	−	2.15287i	−0.581273	−	0.813709i
$8$	−0.222521	−	0.974928i	−0.0786730	−	0.344689i
$9$	−4.17621	+	2.01115i	−1.39207	+	0.670385i
$10$	0.0678680	−	0.297349i	0.0214617	−	0.0940300i
$11$	−2.90237	−	1.39771i	−0.875098	−	0.421425i	−0.0582666	−	0.998301i	$-0.518557\pi$
$11$	−2.90237	−	1.39771i	−0.875098	−	0.421425i	−0.816832	+	0.576876i	$0.804272\pi$
$12$	1.72282	−	2.16035i	0.497336	−	0.623640i
$13$	3.16542	+	1.52439i	0.877931	+	0.422789i	0.817868	−	0.575406i	$-0.195156\pi$
$13$	3.16542	+	1.52439i	0.877931	+	0.422789i	0.0600623	+	0.998195i	$0.480870\pi$
$14$	0.451508	+	2.60694i	0.120671	+	0.696734i
$15$	0.759303	−	0.365661i	0.196051	−	0.0944133i
$16$	−0.222521	+	0.974928i	−0.0556302	+	0.243732i
$17$	2.75535	−	3.45509i	0.668269	−	0.837983i	−0.325946	−	0.945388i	$-0.605683\pi$
$17$	2.75535	−	3.45509i	0.668269	−	0.837983i	0.994215	+	0.107405i	$0.0342542\pi$
$18$	4.63524			1.09254
$19$	7.35859			1.68818			0.844088	−	0.536205i	$-0.180142\pi$
$19$	7.35859			1.68818			0.844088	+	0.536205i	$0.180142\pi$
$20$	−0.190162	+	0.238455i	−0.0425215	+	0.0533202i
$21$	−4.85404	+	5.46671i	−1.05924	+	1.19293i
$22$	2.00850	+	2.51859i	0.428215	+	0.536964i
$23$	0.386439	+	0.484579i	0.0805781	+	0.101042i	0.820487	−	0.571666i	$-0.193703\pi$
$23$	0.386439	+	0.484579i	0.0805781	+	0.101042i	−0.739908	+	0.672708i	$0.765131\pi$
$24$	−2.48955	+	1.19890i	−0.508178	+	0.244725i
$25$	4.42103	−	2.12906i	0.884207	−	0.425812i
$26$	−2.19054	−	2.74685i	−0.429600	−	0.538702i
$27$	2.81723	+	3.53269i	0.542176	+	0.679867i
$28$	0.724314	−	2.54467i	0.136883	−	0.480898i
$29$	−5.75602	+	7.21782i	−1.06887	+	1.34032i	−0.131755	+	0.991282i	$0.542061\pi$
$29$	−5.75602	+	7.21782i	−1.06887	+	1.34032i	−0.937110	+	0.349033i	$0.886510\pi$
$30$	−0.842763			−0.153867
$31$	0.217697			0.0390995			0.0195498	−	0.999809i	$-0.493777\pi$
$31$	0.217697			0.0390995			0.0195498	+	0.999809i	$0.493777\pi$
$32$	0.623490	−	0.781831i	0.110218	−	0.138210i
$33$	−1.98073	+	8.67815i	−0.344801	+	1.51067i
$34$	−3.98159	+	1.91743i	−0.682837	+	0.328837i
$35$	0.535779	−	0.603405i	0.0905633	−	0.101994i
$36$	−4.17621	−	2.01115i	−0.696034	−	0.335192i
$37$	3.50174	−	4.39104i	0.575682	−	0.721882i	−0.405688	−	0.914012i	$-0.632968\pi$
$37$	3.50174	−	4.39104i	0.575682	−	0.721882i	0.981370	+	0.192130i	$0.0615394\pi$
$38$	−6.62986	−	3.19277i	−1.07551	−	0.517936i
$39$	2.16025	−	9.46468i	0.345917	−	1.51556i
$40$	0.274792	−	0.132333i	0.0434484	−	0.0209236i
$41$	−1.74891	−	7.66248i	−0.273134	−	1.19668i	−0.906291	−	0.422655i	$-0.861098\pi$
$41$	−1.74891	−	7.66248i	−0.273134	−	1.19668i	0.633156	−	0.774024i	$-0.281759\pi$
$42$	6.74526	−	2.81925i	1.04082	−	0.435020i
$43$	−1.05285	+	4.61285i	−0.160559	+	0.703453i	0.828991	+	0.559262i	$0.188915\pi$
$43$	−1.05285	+	4.61285i	−0.160559	+	0.703453i	−0.989550	+	0.144191i	$0.953942\pi$
$44$	−0.716827	−	3.14062i	−0.108066	−	0.473467i
$45$	−0.881446	−	1.10530i	−0.131398	−	0.164768i
$46$	−0.137919	−	0.604261i	−0.0203350	−	0.0890934i
$47$	6.67942	+	3.21664i	0.974293	+	0.469195i	0.852139	−	0.523316i	$-0.175305\pi$
$47$	6.67942	+	3.21664i	0.974293	+	0.469195i	0.122155	+	0.992511i	$0.461020\pi$
$48$	2.76319			0.398833
$49$	−2.26970	+	6.62182i	−0.324243	+	0.945974i
$50$	−4.90698			−0.693951
$51$	−11.0019	−	5.29824i	−1.54057	−	0.741902i
$52$	0.781795	+	3.42527i	0.108415	+	0.474999i
$53$	0.591357	+	0.741538i	0.0812291	+	0.101858i	0.820785	−	0.571237i	$-0.193536\pi$
$53$	0.591357	+	0.741538i	0.0812291	+	0.101858i	−0.739556	+	0.673095i	$0.764965\pi$
$54$	−1.00546	−	4.40519i	−0.136825	−	0.599471i
$55$	0.218629	−	0.957878i	0.0294800	−	0.129160i
$56$	−1.75668	+	1.97840i	−0.234746	+	0.264375i
$57$	−4.52456	−	19.8234i	−0.599293	−	2.62567i
$58$	8.31769	−	4.00559i	1.09217	−	0.525959i
$59$	−1.27096	+	5.56845i	−0.165465	+	0.724951i	0.822307	+	0.569045i	$0.192687\pi$
$59$	−1.27096	+	5.56845i	−0.165465	+	0.724951i	−0.987772	+	0.155906i	$0.950170\pi$
$60$	0.759303	+	0.365661i	0.0980256	+	0.0472066i
$61$	−5.07995	+	6.37005i	−0.650421	+	0.815602i	−0.992263	−	0.124156i	$-0.960378\pi$
$61$	−5.07995	+	6.37005i	−0.650421	+	0.815602i	0.341842	+	0.939757i	$0.388949\pi$
$62$	−0.196138	−	0.0944551i	−0.0249096	−	0.0119958i
$63$	10.7524	+	5.89787i	1.35467	+	0.743061i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	−0.238444	+	1.04469i	−0.0295754	+	0.129578i
$66$	5.54989	−	6.95934i	0.683144	−	0.856635i
$67$	−10.6258			−1.29815			−0.649074	−	0.760726i	$-0.724843\pi$
$67$	−10.6258			−1.29815			−0.649074	+	0.760726i	$0.724843\pi$
$68$	4.41923			0.535910
$69$	1.06781	−	1.33899i	0.128549	−	0.161195i
$70$	−0.744528	+	0.311183i	−0.0889882	+	0.0371935i
$71$	4.03119	+	5.05495i	0.478414	+	0.599912i	0.961209	−	0.275821i	$-0.0889498\pi$
$71$	4.03119	+	5.05495i	0.478414	+	0.599912i	−0.482795	+	0.875733i	$0.660378\pi$
$72$	2.89002	+	3.62398i	0.340593	+	0.427090i
$73$	−7.99496	+	3.85017i	−0.935739	+	0.450628i	−0.838664	−	0.544649i	$-0.816663\pi$
$73$	−7.99496	+	3.85017i	−0.935739	+	0.450628i	−0.0970749	+	0.995277i	$0.530949\pi$
$74$	−5.06015	+	2.43684i	−0.588231	+	0.283277i
$75$	−8.45385	−	10.6008i	−0.976167	−	1.22407i
$76$	4.58801	+	5.75318i	0.526280	+	0.659935i
$77$	1.45448	+	8.39798i	0.165754	+	0.957038i
$78$	−6.05289	+	7.59008i	−0.685355	+	0.859408i
$79$	6.04550			0.680171			0.340086	−	0.940394i	$-0.389544\pi$
$79$	6.04550			0.680171			0.340086	+	0.940394i	$0.389544\pi$
$80$	−0.304996			−0.0340996
$81$	−0.885528	+	1.11042i	−0.0983920	+	0.123380i
$82$	−1.74891	+	7.66248i	−0.193135	+	0.846180i
$83$	3.28884	−	1.58382i	0.360997	−	0.173847i	−0.244589	−	0.969627i	$-0.578653\pi$
$83$	3.28884	−	1.58382i	0.360997	−	0.173847i	0.605586	+	0.795780i	$0.292939\pi$
$84$	−7.30049	−	0.386601i	−0.796549	−	0.0421816i
$85$	1.21437	+	0.584809i	0.131717	+	0.0634314i
$86$	2.95003	−	3.69922i	0.318110	−	0.398897i
$87$	22.9834	+	11.0682i	2.46408	+	1.18664i
$88$	−0.716827	+	3.14062i	−0.0764140	+	0.334792i
$89$	12.1155	−	5.83449i	1.28424	−	0.618455i	0.337760	−	0.941232i	$-0.390331\pi$
$89$	12.1155	−	5.83449i	1.28424	−	0.618455i	0.946475	+	0.322777i	$0.104616\pi$
$90$	0.314584	+	1.37828i	0.0331601	+	0.145284i
$91$	−1.58631	−	9.15911i	−0.166290	−	0.960136i
$92$	−0.137919	+	0.604261i	−0.0143790	+	0.0629985i
$93$	−0.133855	−	0.586457i	−0.0138801	−	0.0608127i
$94$	−4.62230	−	5.79618i	−0.476754	−	0.597830i
$95$	0.499412	+	2.18807i	0.0512386	+	0.224491i
$96$	−2.48955	−	1.19890i	−0.254089	−	0.122363i
$97$	−1.31171			−0.133184			−0.0665918	−	0.997780i	$-0.521213\pi$
$97$	−1.31171			−0.133184			−0.0665918	+	0.997780i	$0.521213\pi$
$98$	4.91803	−	4.98126i	0.496796	−	0.503184i
$99$	14.9319			1.50071
$100$	4.42103	+	2.12906i	0.442103	+	0.212906i
$101$	−1.03090	−	4.51667i	−0.102578	−	0.449425i	−0.999967	−	0.00818316i	$-0.997395\pi$
$101$	−1.03090	−	4.51667i	−0.102578	−	0.449425i	0.897388	−	0.441242i	$-0.145462\pi$
$102$	7.61355	+	9.54709i	0.753854	+	0.945303i
$103$	−3.37168	−	14.7723i	−0.332222	−	1.45556i	−0.814819	−	0.579715i	$-0.803164\pi$
$103$	−3.37168	−	14.7723i	−0.332222	−	1.45556i	0.482597	−	0.875842i	$-0.339693\pi$
$104$	0.781795	−	3.42527i	0.0766613	−	0.335875i
$105$	−1.95496	−	1.07233i	−0.190784	−	0.104649i
$106$	−0.211053	−	0.924683i	−0.0204993	−	0.0898131i
$107$	−15.7644	+	7.59173i	−1.52400	+	0.733920i	−0.993507	−	0.113768i	$-0.963708\pi$
$107$	−15.7644	+	7.59173i	−1.52400	+	0.733920i	−0.530494	+	0.847689i	$0.677994\pi$
$108$	−1.00546	+	4.40519i	−0.0967501	+	0.423890i
$109$	16.9361	+	8.15600i	1.62219	+	0.781203i	0.999999	−	0.00166555i	$-0.000530162\pi$
$109$	16.9361	+	8.15600i	1.62219	+	0.781203i	0.622187	+	0.782869i	$0.286244\pi$
$110$	−0.612586	+	0.768158i	−0.0584078	+	0.0732410i
$111$	−13.9822	−	6.73347i	−1.32713	−	0.639112i
$112$	2.44111	−	1.02029i	0.230663	−	0.0964080i
$113$	12.6465	−	6.09021i	1.18968	−	0.572919i	0.268962	−	0.963151i	$-0.413320\pi$
$113$	12.6465	−	6.09021i	1.18968	−	0.572919i	0.920717	+	0.390232i	$0.127605\pi$
$114$	−4.52456	+	19.8234i	−0.423764	+	1.85663i
$115$	−0.117862	+	0.147795i	−0.0109907	+	0.0137819i
$116$	−9.23194			−0.857164
$117$	−16.2852			−1.50557
$118$	3.56116	−	4.46555i	0.327831	−	0.411087i
$119$	−11.6758	−	0.618299i	−1.07032	−	0.0566793i
$120$	−0.525454	−	0.658898i	−0.0479672	−	0.0601489i
$121$	−0.388208	−	0.486798i	−0.0352917	−	0.0442543i
$122$	7.34074	−	3.53511i	0.664599	−	0.320054i
$123$	−19.5667	+	9.42284i	−1.76427	+	0.849629i
$124$	0.135732	+	0.170202i	0.0121891	+	0.0152846i
$125$	1.88393	+	2.36237i	0.168504	+	0.211297i
$126$	−7.12855	−	9.97907i	−0.635062	−	0.889006i
$127$	−5.59666	+	7.01799i	−0.496623	+	0.622746i	−0.965464	−	0.260537i	$-0.916100\pi$
$127$	−5.59666	+	7.01799i	−0.496623	+	0.622746i	0.468841	+	0.883283i	$0.344672\pi$
$128$	1.00000			0.0883883
$129$	13.0740			1.15110
$130$	0.668106	−	0.837778i	0.0585968	−	0.0734780i
$131$	−2.24783	+	9.84839i	−0.196394	+	0.860458i	0.776667	+	0.629911i	$0.216909\pi$
$131$	−2.24783	+	9.84839i	−0.196394	+	0.860458i	−0.973061	+	0.230547i	$0.925948\pi$
$132$	−8.01982	+	3.86214i	−0.698036	+	0.336156i
$133$	−11.3168	−	15.8421i	−0.981291	−	1.37368i
$134$	9.57351	+	4.61036i	0.827025	+	0.398274i
$135$	−0.859243	+	1.07746i	−0.0739518	+	0.0927327i
$136$	−3.98159	−	1.91743i	−0.341418	−	0.164418i
$137$	0.652348	−	2.85812i	0.0557338	−	0.244186i	−0.939386	−	0.342862i	$-0.888604\pi$
$137$	0.652348	−	2.85812i	0.0557338	−	0.244186i	0.995120	+	0.0986761i	$0.0314608\pi$
$138$	−1.54302	+	0.743081i	−0.131351	+	0.0632553i
$139$	−1.43816	−	6.30098i	−0.121983	−	0.534442i	−0.998583	−	0.0532218i	$-0.983051\pi$
$139$	−1.43816	−	6.30098i	−0.121983	−	0.534442i	0.876600	−	0.481220i	$-0.159806\pi$
$140$	0.805814	+	0.0426723i	0.0681037	+	0.00360646i
$141$	4.55839	−	19.9716i	0.383885	−	1.68191i
$142$	−1.43871	−	6.30342i	−0.120734	−	0.528971i
$143$	−7.05659	−	8.84868i	−0.590102	−	0.739964i
$144$	−1.03144	−	4.51902i	−0.0859531	−	0.376585i
$145$	−2.53686	−	1.22169i	−0.210675	−	0.101456i
$146$	8.87373			0.734395
$147$	19.2342	+	2.04284i	1.58641	+	0.168490i
$148$	5.61635			0.461661
$149$	11.3953	+	5.48768i	0.933538	+	0.449568i	0.837885	−	0.545847i	$-0.183792\pi$
$149$	11.3953	+	5.48768i	0.933538	+	0.449568i	0.0956526	+	0.995415i	$0.469506\pi$
$150$	3.01715	+	13.2190i	0.246349	+	1.07933i
$151$	1.48637	+	1.86385i	0.120959	+	0.151678i	0.838624	−	0.544711i	$-0.183361\pi$
$151$	1.48637	+	1.86385i	0.120959	+	0.151678i	−0.717665	+	0.696388i	$0.754789\pi$
$152$	−1.63744	−	7.17409i	−0.132814	−	0.581896i
$153$	−4.55816	+	19.9706i	−0.368505	+	1.61453i
$154$	2.33330	−	8.19739i	0.188023	−	0.660565i
$155$	0.0147746	+	0.0647320i	0.00118673	+	0.00519940i
$156$	8.74668	−	4.21218i	0.700295	−	0.337244i
$157$	−1.71864	+	7.52986i	−0.137163	+	0.600949i	0.858888	+	0.512163i	$0.171156\pi$
$157$	−1.71864	+	7.52986i	−0.137163	+	0.600949i	−0.996051	+	0.0887854i	$0.971701\pi$
$158$	−5.44680	−	2.62304i	−0.433324	−	0.208678i
$159$	1.63403	−	2.04901i	0.129587	−	0.162497i
$160$	0.274792	+	0.132333i	0.0217242	+	0.0104618i
$161$	0.448930	−	1.57719i	0.0353807	−	0.124300i
$162$	1.27962	−	0.616235i	0.100537	−	0.0484160i
$163$	2.99624	−	13.1274i	0.234684	−	1.02822i	−0.711016	−	0.703176i	$-0.751765\pi$
$163$	2.99624	−	13.1274i	0.234684	−	1.02822i	0.945700	−	0.325041i	$-0.105378\pi$
$164$	4.90034	−	6.14483i	0.382652	−	0.479831i
$165$	−2.71487			−0.211352
$166$	−3.65034			−0.283321
$167$	6.00914	−	7.53523i	0.465001	−	0.583093i	−0.492938	−	0.870065i	$-0.664077\pi$
$167$	6.00914	−	7.53523i	0.465001	−	0.583093i	0.957939	+	0.286971i	$0.0926484\pi$
$168$	6.40978	+	3.51588i	0.494525	+	0.271256i
$169$	−0.409218	−	0.513143i	−0.0314783	−	0.0394726i
$170$	−0.840369	−	1.05379i	−0.0644534	−	0.0808220i
$171$	−30.7310	+	14.7993i	−2.35006	+	1.13173i
$172$	−4.26291	+	2.05291i	−0.325044	+	0.156533i
$173$	3.26389	+	4.09279i	0.248149	+	0.311169i	0.890269	−	0.455435i	$-0.150516\pi$
$173$	3.26389	+	4.09279i	0.248149	+	0.311169i	−0.642120	+	0.766604i	$0.721945\pi$
$174$	−15.9050	−	19.9442i	−1.20575	−	1.51197i
$175$	−11.3827	−	6.24363i	−0.860452	−	0.471974i
$176$	2.00850	−	2.51859i	0.151397	−	0.189846i
$177$	15.7824			1.18628
$178$	−13.4471			−1.00791
$179$	2.21922	−	2.78282i	0.165872	−	0.207997i	−0.691947	−	0.721948i	$-0.743247\pi$
$179$	2.21922	−	2.78282i	0.165872	−	0.207997i	0.857820	+	0.513950i	$0.171818\pi$
$180$	0.314584	−	1.37828i	0.0234477	−	0.102731i
$181$	0.0944982	−	0.0455079i	0.00702399	−	0.00338258i	−0.430368	−	0.902653i	$-0.641616\pi$
$181$	0.0944982	−	0.0455079i	0.00702399	−	0.00338258i	0.437392	+	0.899271i	$0.355902\pi$
$182$	−2.54477	+	8.94035i	−0.188631	+	0.662703i
$183$	20.2839	+	9.76820i	1.49943	+	0.722086i
$184$	0.386439	−	0.484579i	0.0284887	−	0.0357237i
$185$	1.54333	+	0.743227i	0.113468	+	0.0546431i
$186$	−0.133855	+	0.586457i	−0.00981472	+	0.0430011i
$187$	−12.8263	+	6.17680i	−0.937949	+	0.451692i
$188$	1.64968	+	7.22772i	0.120315	+	0.527136i
$189$	3.27280	−	11.4981i	0.238061	−	0.836361i
$190$	0.499412	−	2.18807i	0.0362312	−	0.158739i
$191$	3.08828	+	13.5307i	0.223460	+	0.979043i	0.954851	+	0.297085i	$0.0960144\pi$
$191$	3.08828	+	13.5307i	0.223460	+	0.979043i	−0.731391	+	0.681959i	$0.761128\pi$
$192$	1.72282	+	2.16035i	0.124334	+	0.155910i
$193$	0.499383	+	2.18794i	0.0359464	+	0.157491i	0.989716	−	0.143048i	$-0.0456904\pi$
$193$	0.499383	+	2.18794i	0.0359464	+	0.157491i	−0.953769	+	0.300540i	$0.902833\pi$
$194$	1.18181	+	0.569128i	0.0848488	+	0.0408610i
$195$	2.96092			0.212036
$196$	−6.59228	+	2.35411i	−0.470877	+	0.168151i
$197$	−4.50336			−0.320851			−0.160426	−	0.987048i	$-0.551287\pi$
$197$	−4.50336			−0.320851			−0.160426	+	0.987048i	$0.551287\pi$
$198$	−13.4532	−	6.47872i	−0.956077	−	0.460422i
$199$	1.68471	+	7.38118i	0.119426	+	0.523238i	0.998883	+	0.0472597i	$0.0150488\pi$
$199$	1.68471	+	7.38118i	0.119426	+	0.523238i	−0.879457	+	0.475978i	$0.842094\pi$
$200$	−3.05945	−	3.83643i	−0.216336	−	0.271277i
$201$	6.53347	+	28.6250i	0.460835	+	2.01905i
$202$	−1.03090	+	4.51667i	−0.0725339	+	0.317792i
$203$	24.3912	+	1.29165i	1.71193	+	0.0906560i
$204$	−2.71725	−	11.9050i	−0.190245	−	0.833519i
$205$	2.15974	−	1.04007i	0.150843	−	0.0726419i
$206$	−3.37168	+	14.7723i	−0.234916	+	1.02923i
$207$	−2.58841	−	1.24651i	−0.179907	−	0.0866387i
$208$	−2.19054	+	2.74685i	−0.151887	+	0.190460i
$209$	−21.3574	−	10.2852i	−1.47732	−	0.711440i
$210$	1.29609	+	1.81436i	0.0894386	+	0.125203i
$211$	−15.1223	+	7.28251i	−1.04106	+	0.501349i	−0.874674	−	0.484712i	$-0.838924\pi$
$211$	−15.1223	+	7.28251i	−1.04106	+	0.501349i	−0.166387	+	0.986061i	$0.553210\pi$
$212$	−0.211053	+	0.924683i	−0.0144952	+	0.0635075i
$213$	11.1390	−	13.9678i	0.763228	−	0.957058i
$214$	17.4972			1.19608
$215$	−1.44308			−0.0984173
$216$	2.81723	−	3.53269i	0.191688	−	0.240369i
$217$	−0.334797	−	0.468673i	−0.0227275	−	0.0318156i
$218$	−11.7202	−	14.6966i	−0.793789	−	0.995380i
$219$	15.2879	+	19.1704i	1.03306	+	1.29541i
$220$	0.885212	−	0.426296i	0.0596810	−	0.0287408i
$221$	13.9887	−	6.73662i	0.940984	−	0.453154i
$222$	9.67597	+	12.1333i	0.649409	+	0.814333i
$223$	4.66036	+	5.84391i	0.312081	+	0.391337i	0.912991	−	0.407980i	$-0.133767\pi$
$223$	4.66036	+	5.84391i	0.312081	+	0.391337i	−0.600910	+	0.799316i	$0.705195\pi$
$224$	−2.64205	−	0.139911i	−0.176529	−	0.00934819i
$225$	−14.1813	+	17.7828i	−0.945419	+	1.18552i
$226$	−14.0365			−0.933694
$227$	−6.67021			−0.442717			−0.221359	−	0.975192i	$-0.571049\pi$
$227$	−6.67021			−0.442717			−0.221359	+	0.975192i	$0.571049\pi$
$228$	12.6775	−	15.8971i	0.839591	−	1.05281i
$229$	2.75211	−	12.0578i	0.181864	−	0.796799i	−0.798878	−	0.601493i	$-0.794573\pi$
$229$	2.75211	−	12.0578i	0.181864	−	0.796799i	0.980742	−	0.195306i	$-0.0625701\pi$
$230$	0.170316	−	0.0820199i	0.0112303	−	0.00540823i
$231$	21.7291	−	9.08191i	1.42967	−	0.597546i
$232$	8.31769	+	4.00559i	0.546083	+	0.262980i
$233$	−8.24409	+	10.3378i	−0.540088	+	0.677249i	−0.974738	−	0.223350i	$-0.928301\pi$
$233$	−8.24409	+	10.3378i	−0.540088	+	0.677249i	0.434650	+	0.900599i	$0.356872\pi$
$234$	14.6725	+	7.06590i	0.959171	+	0.461912i
$235$	−0.503146	+	2.20442i	−0.0328216	+	0.143801i
$236$	−5.14602	+	2.47819i	−0.334978	+	0.161317i
$237$	−3.71718	−	16.2861i	−0.241457	−	1.05789i
$238$	10.2513	+	5.62302i	0.664492	+	0.364486i
$239$	−3.84788	+	16.8587i	−0.248899	+	1.09050i	0.683751	+	0.729715i	$0.260347\pi$
$239$	−3.84788	+	16.8587i	−0.248899	+	1.09050i	−0.932650	+	0.360782i	$0.882510\pi$
$240$	0.187532	+	0.821633i	0.0121052	+	0.0530362i
$241$	−1.86221	−	2.33514i	−0.119956	−	0.150420i	0.718228	−	0.695808i	$-0.244954\pi$
$241$	−1.86221	−	2.33514i	−0.119956	−	0.150420i	−0.838183	+	0.545388i	$0.816382\pi$
$242$	0.138550	+	0.607027i	0.00890633	+	0.0390212i
$243$	15.7489	+	7.58426i	1.01029	+	0.486531i
$244$	−8.14760			−0.521597
$245$	−2.12303	−	0.225484i	−0.135635	−	0.0144057i
$246$	21.7174			1.38465
$247$	23.2931	+	11.2173i	1.48210	+	0.713742i
$248$	−0.0484421	−	0.212239i	−0.00307608	−	0.0134772i
$249$	−6.28889	−	7.88602i	−0.398542	−	0.499756i
$250$	−0.672366	−	2.94583i	−0.0425242	−	0.186311i
$251$	−0.168158	+	0.736748i	−0.0106140	+	0.0465031i	−0.979958	−	0.199206i	$-0.936164\pi$
$251$	−0.168158	+	0.736748i	−0.0106140	+	0.0465031i	0.969344	+	0.245709i	$0.0790208\pi$
$252$	2.09285	+	12.0838i	0.131837	+	0.761207i
$253$	−0.444290	−	1.94656i	−0.0279322	−	0.122379i
$254$	8.08741	−	3.89469i	0.507449	−	0.244375i
$255$	0.828749	−	3.63099i	0.0518983	−	0.227381i
$256$	−0.900969	−	0.433884i	−0.0563106	−	0.0271177i
$257$	8.80838	−	11.0454i	0.549452	−	0.688990i	−0.427117	−	0.904196i	$-0.640471\pi$
$257$	8.80838	−	11.0454i	0.549452	−	0.688990i	0.976569	+	0.215206i	$0.0690423\pi$
$258$	−11.7793	−	5.67259i	−0.733344	−	0.353160i
$259$	−14.8387	−	0.785788i	−0.922030	−	0.0488265i
$260$	−0.965441	+	0.464932i	−0.0598741	+	0.0288339i
$261$	9.52217	−	41.7193i	0.589407	−	2.58236i
$262$	6.29828	−	7.89780i	0.389109	−	0.487927i
$263$	−10.8638			−0.669889			−0.334944	−	0.942238i	$-0.608717\pi$
$263$	−10.8638			−0.669889			−0.334944	+	0.942238i	$0.608717\pi$
$264$	8.90133			0.547839
$265$	−0.180361	+	0.226166i	−0.0110795	+	0.0138933i
$266$	3.32246	+	19.1834i	0.203713	+	1.17621i
$267$	−23.1670	−	29.0505i	−1.41780	−	1.77786i
$268$	−6.62507	−	8.30758i	−0.404691	−	0.507466i
$269$	4.31980	−	2.08031i	0.263383	−	0.126839i	−0.297532	−	0.954712i	$-0.596164\pi$
$269$	4.31980	−	2.08031i	0.263383	−	0.126839i	0.560915	+	0.827873i	$0.310449\pi$
$270$	1.24164	−	0.597943i	0.0755639	−	0.0363897i
$271$	−12.8835	−	16.1554i	−0.782619	−	0.981374i	−0.999986	−	0.00528365i	$-0.998318\pi$
$271$	−12.8835	−	16.1554i	−0.782619	−	0.981374i	0.217367	−	0.976090i	$-0.430253\pi$
$272$	2.75535	+	3.45509i	0.167067	+	0.209496i
$273$	−23.6985	+	9.90503i	−1.43430	+	0.599480i
$274$	−1.82784	+	2.29204i	−0.110424	+	0.138467i
$275$	−15.8073			−0.953216
$276$	1.71263			0.103088
$277$	−10.9399	+	13.7182i	−0.657314	+	0.824246i	−0.993048	−	0.117711i	$-0.962444\pi$
$277$	−10.9399	+	13.7182i	−0.657314	+	0.824246i	0.335734	+	0.941957i	$0.391016\pi$
$278$	−1.43816	+	6.30098i	−0.0862549	+	0.377907i
$279$	−0.909147	+	0.437822i	−0.0544292	+	0.0262117i
$280$	−0.707499	−	0.388076i	−0.0422811	−	0.0231920i
$281$	−2.66505	−	1.28342i	−0.158984	−	0.0765624i	0.352700	−	0.935736i	$-0.385264\pi$
$281$	−2.66505	−	1.28342i	−0.158984	−	0.0765624i	−0.511683	+	0.859174i	$0.670978\pi$
$282$	−12.7723	+	16.0160i	−0.760580	+	0.953737i
$283$	−12.6835	−	6.10807i	−0.753958	−	0.363087i	0.0170985	−	0.999854i	$-0.494557\pi$
$283$	−12.6835	−	6.10807i	−0.753958	−	0.363087i	−0.771056	+	0.636767i	$0.780271\pi$
$284$	−1.43871	+	6.30342i	−0.0853720	+	0.374039i
$285$	5.58740	−	2.69075i	0.330969	−	0.159386i
$286$	2.51847	+	11.0341i	0.148920	+	0.652462i
$287$	−13.8067	+	15.5493i	−0.814982	+	0.917849i
$288$	−1.03144	+	4.51902i	−0.0607781	+	0.266286i
$289$	−0.562889	−	2.46618i	−0.0331111	−	0.145069i
$290$	1.75556	+	2.20141i	0.103090	+	0.129271i
$291$	0.806527	+	3.53362i	0.0472794	+	0.207145i
$292$	−7.99496	−	3.85017i	−0.467870	−	0.225314i
$293$	12.7473			0.744704			0.372352	−	0.928092i	$-0.378551\pi$
$293$	12.7473			0.744704			0.372352	+	0.928092i	$0.378551\pi$
$294$	−16.4430	−	10.1859i	−0.958978	−	0.594055i
$295$	−1.74203			−0.101425
$296$	−5.06015	−	2.43684i	−0.294116	−	0.141639i
$297$	−3.23897	−	14.1909i	−0.187944	−	0.823437i
$298$	−7.88578	−	9.88845i	−0.456811	−	0.572823i
$299$	0.484557	+	2.12298i	0.0280226	+	0.122775i
$300$	3.01715	−	13.2190i	0.174195	−	0.763198i
$301$	11.5501	−	4.82746i	0.665734	−	0.278250i
$302$	−0.530479	−	2.32418i	−0.0305256	−	0.133742i
$303$	−11.5336	+	5.55431i	−0.662591	+	0.319087i
$304$	−1.63744	+	7.17409i	−0.0939136	+	0.411462i
$305$	−2.23889	−	1.07819i	−0.128199	−	0.0617372i
$306$	12.7717	−	16.0152i	0.730109	−	0.915527i
$307$	28.7534	+	13.8469i	1.64104	+	0.790284i	0.999735	+	0.0230001i	$0.00732182\pi$
$307$	28.7534	+	13.8469i	1.64104	+	0.790284i	0.641307	+	0.767284i	$0.278392\pi$
$308$	−5.65895	+	6.37321i	−0.322448	+	0.363148i
$309$	−37.7222	+	18.1660i	−2.14594	+	1.03343i
$310$	0.0147746	−	0.0647320i	0.000839144	−	0.00367653i
$311$	7.56399	−	9.48494i	0.428914	−	0.537842i	−0.519670	−	0.854367i	$-0.673945\pi$
$311$	7.56399	−	9.48494i	0.428914	−	0.537842i	0.948584	+	0.316526i	$0.102516\pi$
$312$	−9.70808			−0.549612
$313$	−18.2979			−1.03426			−0.517130	−	0.855907i	$-0.672999\pi$
$313$	−18.2979			−1.03426			−0.517130	+	0.855907i	$0.672999\pi$
$314$	4.81553	−	6.03848i	0.271756	−	0.340771i
$315$	−1.02398	+	3.59748i	−0.0576950	+	0.202695i
$316$	3.76931	+	4.72656i	0.212040	+	0.265890i
$317$	−21.6254	−	27.1174i	−1.21461	−	1.52307i	−0.784297	−	0.620386i	$-0.786976\pi$
$317$	−21.6254	−	27.1174i	−1.21461	−	1.52307i	−0.430309	−	0.902682i	$-0.641595\pi$
$318$	−2.36125	+	1.13712i	−0.132412	+	0.0637663i
$319$	26.7945	−	12.9036i	1.50021	−	0.722461i
$320$	−0.190162	−	0.238455i	−0.0106304	−	0.0133301i
$321$	30.1445	+	37.8000i	1.68250	+	2.10979i
$322$	−1.08879	+	1.22622i	−0.0606758	+	0.0683343i
$323$	20.2755	−	25.4246i	1.12816	−	1.41466i
$324$	−1.42028			−0.0789042
$325$	17.2400			0.956301
$326$	−8.39528	+	10.5274i	−0.464972	+	0.583056i
$327$	11.5581	−	50.6393i	0.639164	−	2.80036i
$328$	−7.08120	+	3.41013i	−0.390994	+	0.188293i
$329$	−3.34730	−	19.3268i	−0.184543	−	1.06552i
$330$	2.44601	+	1.17794i	0.134649	+	0.0648433i
$331$	11.1132	−	13.9356i	0.610839	−	0.765968i	−0.376184	−	0.926545i	$-0.622764\pi$
$331$	11.1132	−	13.9356i	0.610839	−	0.765968i	0.987023	+	0.160577i	$0.0513354\pi$
$332$	3.28884	+	1.58382i	0.180499	+	0.0869236i
$333$	−5.79291	+	25.3804i	−0.317450	+	1.39084i
$334$	−8.68346	+	4.18173i	−0.475138	+	0.228814i
$335$	−0.721151	−	3.15957i	−0.0394007	−	0.172626i
$336$	−4.24953	−	5.94880i	−0.231831	−	0.324534i
$337$	−2.81150	+	12.3180i	−0.153152	+	0.671002i	0.838806	+	0.544431i	$0.183254\pi$
$337$	−2.81150	+	12.3180i	−0.153152	+	0.671002i	−0.991958	+	0.126571i	$0.959603\pi$
$338$	0.146048	+	0.639879i	0.00794398	+	0.0348048i
$339$	−24.1824	−	30.3238i	−1.31341	−	1.64696i
$340$	0.299924	+	1.31405i	0.0162657	+	0.0712646i
$341$	−0.631838	−	0.304277i	−0.0342159	−	0.0164775i
$342$	34.1088			1.84439
$343$	17.7465	−	5.29734i	0.958221	−	0.286030i
$344$	4.73148			0.255104
$345$	0.470616	+	0.226637i	0.0253371	+	0.0122017i
$346$	−1.16487	−	5.10363i	−0.0626238	−	0.274373i
$347$	2.46208	+	3.08735i	0.132171	+	0.165738i	0.843513	−	0.537109i	$-0.180484\pi$
$347$	2.46208	+	3.08735i	0.132171	+	0.165738i	−0.711342	+	0.702846i	$0.751912\pi$
$348$	5.67643	+	24.8701i	0.304288	+	1.33317i
$349$	−5.85114	+	25.6355i	−0.313205	+	1.37224i	0.536019	+	0.844206i	$0.319927\pi$
$349$	−5.85114	+	25.6355i	−0.313205	+	1.37224i	−0.849224	+	0.528033i	$0.822930\pi$
$350$	7.54646	+	10.5641i	0.403375	+	0.564674i
$351$	3.53253	+	15.4770i	0.188552	+	0.826102i
$352$	−2.90237	+	1.39771i	−0.154697	+	0.0744982i
$353$	2.14850	−	9.41320i	0.114353	−	0.501014i	−0.885018	−	0.465557i	$-0.845854\pi$
$353$	2.14850	−	9.41320i	0.114353	−	0.501014i	0.999371	−	0.0354572i	$-0.0112888\pi$
$354$	−14.2195	−	6.84773i	−0.755756	−	0.363953i
$355$	−1.22950	+	1.54174i	−0.0652548	+	0.0818270i
$356$	12.1155	+	5.83449i	0.642118	+	0.309228i
$357$	5.51345	+	31.8338i	0.291803	+	1.68483i
$358$	−3.20687	+	1.54435i	−0.169488	+	0.0816212i
$359$	−7.17411	+	31.4318i	−0.378635	+	1.65891i	0.323021	+	0.946392i	$0.395302\pi$
$359$	−7.17411	+	31.4318i	−0.378635	+	1.65891i	−0.701656	+	0.712516i	$0.747556\pi$
$360$	−0.881446	+	1.10530i	−0.0464563	+	0.0582543i
$361$	35.1488			1.84994
$362$	−0.104885			−0.00551264
$363$	−1.07269	+	1.34512i	−0.0563019	+	0.0706003i
$364$	6.17183	−	6.95084i	0.323492	−	0.364323i
$365$	−1.68745	−	2.11599i	−0.0883249	−	0.110756i
$366$	−14.0369	−	17.6017i	−0.733719	−	0.920055i
$367$	2.45567	−	1.18259i	0.128185	−	0.0617307i	−0.368692	−	0.929552i	$-0.620194\pi$
$367$	2.45567	−	1.18259i	0.128185	−	0.0617307i	0.496877	+	0.867821i	$0.334480\pi$
$368$	−0.558421	+	0.268921i	−0.0291097	+	0.0140185i
$369$	22.7143	+	28.4828i	1.18246	+	1.48275i
$370$	−1.06801	−	1.33925i	−0.0555235	−	0.0696242i
$371$	0.686985	−	2.41353i	0.0356665	−	0.125304i
$372$	0.375053	−	0.470302i	0.0194456	−	0.0243840i
$373$	−31.4443			−1.62812			−0.814062	−	0.580778i	$-0.802748\pi$
$373$	−31.4443			−1.62812			−0.814062	+	0.580778i	$0.802748\pi$
$374$	14.2361			0.736130
$375$	5.20566	−	6.52769i	0.268819	−	0.337089i
$376$	1.64968	−	7.22772i	0.0850757	−	0.372741i
$377$	−29.2230	+	14.0731i	−1.50506	+	0.724799i
$378$	−7.93752	+	8.93938i	−0.408262	+	0.459792i
$379$	12.8850	+	6.20509i	0.661858	+	0.318734i	0.734485	−	0.678625i	$-0.237424\pi$
$379$	12.8850	+	6.20509i	0.661858	+	0.318734i	−0.0726270	+	0.997359i	$0.523138\pi$
$380$	−1.39932	+	1.75470i	−0.0717837	+	0.0900140i
$381$	22.3471	+	10.7618i	1.14488	+	0.551343i
$382$	3.08828	−	13.5307i	0.158010	−	0.692288i
$383$	0.0200671	−	0.00966379i	0.00102538	−	0.000493797i	−0.433371	−	0.901216i	$-0.642676\pi$
$383$	0.0200671	−	0.00966379i	0.00102538	−	0.000493797i	0.434396	+	0.900722i	$0.356962\pi$
$384$	−0.614868	−	2.69391i	−0.0313774	−	0.137473i
$385$	−2.39842	+	1.00244i	−0.122235	+	0.0510892i
$386$	0.499383	−	2.18794i	0.0254179	−	0.111363i
$387$	−4.88022	−	21.3817i	−0.248076	−	1.08689i
$388$	−0.817835	−	1.02553i	−0.0415193	−	0.0520636i
$389$	1.56314	+	6.84858i	0.0792545	+	0.347237i	0.998971	−	0.0453458i	$-0.0144390\pi$
$389$	1.56314	+	6.84858i	0.0792545	+	0.347237i	−0.919717	+	0.392582i	$0.871582\pi$
$390$	−2.66770	−	1.28470i	−0.135084	−	0.0650532i
$391$	2.73904			0.138519
$392$	6.96085	+	0.739303i	0.351576	+	0.0373404i
$393$	27.9128			1.40802
$394$	4.05739	+	1.95394i	0.204408	+	0.0984379i
$395$	0.410296	+	1.79762i	0.0206442	+	0.0904482i
$396$	9.30990	+	11.6742i	0.467840	+	0.586653i
$397$	−0.436343	−	1.91174i	−0.0218994	−	0.0959477i	0.962797	−	0.270225i	$-0.0870982\pi$
$397$	−0.436343	−	1.91174i	−0.0218994	−	0.0959477i	−0.984697	+	0.174278i	$0.944241\pi$
$398$	1.68471	−	7.38118i	0.0844467	−	0.369985i
$399$	−35.7189	+	40.2273i	−1.78818	+	2.01388i
$400$	1.09191	+	4.78395i	0.0545953	+	0.239197i
$401$	12.5032	−	6.02124i	0.624382	−	0.300687i	−0.0948127	−	0.995495i	$-0.530225\pi$
$401$	12.5032	−	6.02124i	0.624382	−	0.300687i	0.719195	+	0.694809i	$0.244511\pi$
$402$	6.53347	−	28.6250i	0.325860	−	1.42768i
$403$	0.689103	+	0.331854i	0.0343267	+	0.0165308i
$404$	2.88852	−	3.62209i	0.143709	−	0.180205i
$405$	−0.390280	−	0.187949i	−0.0193932	−	0.00933926i
$406$	−21.4153	−	11.7467i	−1.06282	−	0.582979i
$407$	−16.3007	+	7.85002i	−0.807998	+	0.389111i
$408$	−2.71725	+	11.9050i	−0.134524	+	0.589387i
$409$	−9.10420	+	11.4163i	−0.450174	+	0.564500i	−0.954193	−	0.299192i	$-0.903283\pi$
$409$	−9.10420	+	11.4163i	−0.450174	+	0.564500i	0.504019	+	0.863693i	$0.331854\pi$
$410$	−2.39713			−0.118386
$411$	−8.10065			−0.399576
$412$	9.44724	−	11.8465i	0.465432	−	0.583633i
$413$	13.9428	−	5.82753i	0.686079	−	0.286754i
$414$	1.79124	+	2.24614i	0.0880345	+	0.110392i
$415$	0.694155	+	0.870443i	0.0340747	+	0.0427284i
$416$	3.16542	−	1.52439i	0.155198	−	0.0747393i
$417$	−16.0900	+	7.74854i	−0.787931	+	0.379448i
$418$	14.7798	+	18.5332i	0.722902	+	0.906490i
$419$	0.213465	+	0.267676i	0.0104284	+	0.0130768i	0.787018	−	0.616930i	$-0.211624\pi$
$419$	0.213465	+	0.267676i	0.0104284	+	0.0130768i	−0.776590	+	0.630006i	$0.783052\pi$
$420$	−0.380514	−	2.19703i	−0.0185672	−	0.107204i
$421$	−10.5954	+	13.2863i	−0.516390	+	0.647533i	−0.969838	−	0.243750i	$-0.921622\pi$
$421$	−10.5954	+	13.2863i	−0.516390	+	0.647533i	0.453448	+	0.891283i	$0.350194\pi$
$422$	16.7845			0.817055
$423$	−34.3638			−1.67082
$424$	0.591357	−	0.741538i	0.0287188	−	0.0360123i
$425$	4.82538	−	21.1414i	0.234065	−	1.02551i
$426$	−16.0963	+	7.75155i	−0.779866	+	0.375564i
$427$	21.5264	+	1.13994i	1.04173	+	0.0551655i
$428$	−15.7644	−	7.59173i	−0.762001	−	0.366960i
$429$	−19.4987	+	24.4506i	−0.941407	+	1.18049i
$430$	1.30017	+	0.626129i	0.0626998	+	0.0301946i
$431$	6.58822	−	28.8649i	0.317343	−	1.39037i	−0.524849	−	0.851195i	$-0.675878\pi$
$431$	6.58822	−	28.8649i	0.317343	−	1.39037i	0.842192	−	0.539177i	$-0.181265\pi$
$432$	−4.07101	+	1.96050i	−0.195867	+	0.0943244i
$433$	1.04790	+	4.59115i	0.0503589	+	0.220637i	0.993846	−	0.110773i	$-0.0353328\pi$
$433$	1.04790	+	4.59115i	0.0503589	+	0.220637i	−0.943487	+	0.331410i	$0.892476\pi$
$434$	0.0982919	+	0.567523i	0.00471816	+	0.0272420i
$435$	−1.73129	+	7.58526i	−0.0830089	+	0.363686i
$436$	4.18287	+	18.3264i	0.200323	+	0.877674i
$437$	2.84365	+	3.56582i	0.136030	+	0.170576i
$438$	−5.45618	−	23.9051i	−0.260706	−	1.14223i
$439$	−10.4374	−	5.02639i	−0.498150	−	0.239897i	0.167899	−	0.985804i	$-0.446302\pi$
$439$	−10.4374	−	5.02639i	−0.498150	−	0.239897i	−0.666049	+	0.745908i	$0.732016\pi$
$440$	−0.982511			−0.0468394
$441$	−3.83875	−	32.2188i	−0.182798	−	1.53423i
$442$	−15.5263			−0.738512
$443$	9.49595	+	4.57301i	0.451166	+	0.217270i	0.645647	−	0.763636i	$-0.276588\pi$
$443$	9.49595	+	4.57301i	0.451166	+	0.217270i	−0.194481	+	0.980906i	$0.562302\pi$
$444$	−3.45332	−	15.1300i	−0.163887	−	0.718036i
$445$	2.55713	+	3.20654i	0.121220	+	0.152005i
$446$	−1.66326	−	7.28723i	−0.0787578	−	0.345060i
$447$	7.77674	−	34.0721i	0.367827	−	1.61156i
$448$	2.31970	+	1.27240i	0.109595	+	0.0601151i
$449$	−3.99150	−	17.4879i	−0.188370	−	0.825305i	−0.977476	−	0.211047i	$-0.932313\pi$
$449$	−3.99150	−	17.4879i	−0.188370	−	0.825305i	0.789105	−	0.614258i	$-0.210544\pi$
$450$	20.4925	−	9.86869i	0.966028	−	0.465215i
$451$	−5.63393	+	24.6839i	−0.265291	+	1.16232i
$452$	12.6465	+	6.09021i	0.594839	+	0.286459i
$453$	4.10712	−	5.15017i	0.192970	−	0.241976i
$454$	6.00965	+	2.89410i	0.282047	+	0.135827i
$455$	2.61579	−	1.09330i	0.122630	−	0.0512546i
$456$	−18.3196	+	8.82225i	−0.857893	+	0.413140i
$457$	6.51930	−	28.5629i	0.304960	−	1.33612i	−0.557578	−	0.830125i	$-0.688269\pi$
$457$	6.51930	−	28.5629i	0.304960	−	1.33612i	0.862538	−	0.505992i	$-0.168874\pi$
$458$	−7.71123	+	9.66957i	−0.360322	+	0.451830i
$459$	19.9682			0.932036
$460$	−0.189037			−0.00881387
$461$	−22.0128	+	27.6032i	−1.02524	+	1.28561i	−0.0675785	+	0.997714i	$0.521527\pi$
$461$	−22.0128	+	27.6032i	−1.02524	+	1.28561i	−0.957662	+	0.287896i	$0.907044\pi$
$462$	−23.5177	−	1.24539i	−1.09414	−	0.0579409i
$463$	−18.0774	−	22.6683i	−0.840127	−	1.05349i	−0.997820	−	0.0659976i	$-0.978977\pi$
$463$	−18.0774	−	22.6683i	−0.840127	−	1.05349i	0.157693	−	0.987488i	$-0.449594\pi$
$464$	−5.75602	−	7.21782i	−0.267216	−	0.335079i
$465$	0.165298	−	0.0796033i	0.00766551	−	0.00369151i
$466$	11.9131	−	5.73703i	0.551862	−	0.265763i
$467$	10.0102	+	12.5524i	0.463216	+	0.580854i	0.957495	−	0.288449i	$-0.0931395\pi$
$467$	10.0102	+	12.5524i	0.463216	+	0.580854i	−0.494280	+	0.869303i	$0.664568\pi$
$468$	−10.1537	−	12.7323i	−0.469354	−	0.588551i
$469$	16.3415	+	22.8760i	0.754578	+	1.05631i
$470$	1.40978	−	1.76781i	0.0650284	−	0.0815431i
$471$	21.3415			0.983367
$472$	5.71166			0.262900
$473$	9.50319	−	11.9166i	0.436957	−	0.547927i
$474$	−3.71718	+	16.2861i	−0.170736	+	0.748043i
$475$	32.5326	−	15.6669i	1.49270	−	0.718845i
$476$	−6.79635	−	9.51403i	−0.311510	−	0.436075i
$477$	−3.96097	−	1.90750i	−0.181361	−	0.0873387i
$478$	10.7815	−	13.5196i	0.493136	−	0.618373i
$479$	9.16168	+	4.41203i	0.418608	+	0.201591i	0.631317	−	0.775525i	$-0.282515\pi$
$479$	9.16168	+	4.41203i	0.418608	+	0.201591i	−0.212709	+	0.977115i	$0.568229\pi$
$480$	0.187532	−	0.821633i	0.00855964	−	0.0375022i
$481$	17.7781	−	8.56149i	0.810613	−	0.390370i
$482$	0.664616	+	2.91188i	0.0302725	+	0.132632i
$483$	−4.52485	−	0.239615i	−0.205888	−	0.0109029i
$484$	0.138550	−	0.607027i	0.00629772	−	0.0275921i
$485$	−0.0890228	−	0.390035i	−0.00404232	−	0.0177106i
$486$	−10.8986	−	13.6664i	−0.494369	−	0.619919i
$487$	−1.86987	−	8.19243i	−0.0847319	−	0.371235i	0.914729	−	0.404068i	$-0.132404\pi$
$487$	−1.86987	−	8.19243i	−0.0847319	−	0.371235i	−0.999461	+	0.0328334i	$0.989547\pi$
$488$	7.34074	+	3.53511i	0.332300	+	0.160027i
$489$	−37.2064			−1.68253
$490$	1.81495	+	1.12430i	0.0819911	+	0.0507908i
$491$	8.11285			0.366128			0.183064	−	0.983101i	$-0.441398\pi$
$491$	8.11285			0.366128			0.183064	+	0.983101i	$0.441398\pi$
$492$	−19.5667	−	9.42284i	−0.882136	−	0.424814i
$493$	9.07842	+	39.7752i	0.408872	+	1.79138i
$494$	−16.1193	−	20.2130i	−0.725241	−	0.909424i
$495$	1.01340	+	4.43999i	0.0455489	+	0.199563i
$496$	−0.0484421	+	0.212239i	−0.00217512	+	0.00952980i
$497$	4.68307	−	16.4527i	0.210064	−	0.738002i
$498$	2.24448	+	9.83371i	0.100578	+	0.440659i
$499$	−15.3191	+	7.37727i	−0.685775	+	0.330252i	−0.744121	−	0.668045i	$-0.767132\pi$
$499$	−15.3191	+	7.37727i	−0.685775	+	0.330252i	0.0583463	+	0.998296i	$0.481417\pi$
$500$	−0.672366	+	2.94583i	−0.0300691	+	0.131742i
$501$	−23.9941	−	11.5549i	−1.07198	−	0.516237i
$502$	0.471168	−	0.590826i	0.0210293	−	0.0263699i
$503$	−24.7348	−	11.9117i	−1.10287	−	0.531115i	−0.208312	−	0.978062i	$-0.566797\pi$
$503$	−24.7348	−	11.9117i	−1.10287	−	0.531115i	−0.894560	+	0.446947i	$0.852511\pi$
$504$	3.35737	−	11.7952i	0.149549	−	0.525399i
$505$	1.27306	−	0.613074i	0.0566505	−	0.0272814i
$506$	−0.444290	+	1.94656i	−0.0197511	+	0.0865351i
$507$	−1.13075	+	1.41791i	−0.0502183	+	0.0629718i
$508$	−8.97635			−0.398261
$509$	2.21199			0.0980448			0.0490224	−	0.998798i	$-0.484389\pi$
$509$	2.21199			0.0980448			0.0490224	+	0.998798i	$0.484389\pi$
$510$	−2.32210	+	2.91182i	−0.102824	+	0.128938i
$511$	20.5844	+	11.2909i	0.910600	+	0.499481i
$512$	0.623490	+	0.781831i	0.0275546	+	0.0345524i
$513$	20.7308	+	25.9956i	0.915288	+	1.14773i
$514$	−12.7285	+	6.12971i	−0.561429	+	0.270370i
$515$	4.16370	−	2.00513i	0.183474	−	0.0883567i
$516$	8.15150	+	10.2217i	0.358850	+	0.449983i
$517$	−14.8902	−	18.6718i	−0.654872	−	0.821183i
$518$	13.0282	+	7.14623i	0.572428	+	0.313987i
$519$	9.01876	−	11.3092i	0.395880	−	0.496417i
$520$	1.07156			0.0469910
$521$	−41.7446			−1.82887			−0.914433	−	0.404738i	$-0.867363\pi$
$521$	−41.7446			−1.82887			−0.914433	+	0.404738i	$0.867363\pi$
$522$	−26.6805	+	33.4563i	−1.16777	+	1.46434i
$523$	−4.53465	+	19.8676i	−0.198287	+	0.868750i	0.773670	+	0.633589i	$0.218419\pi$
$523$	−4.53465	+	19.8676i	−0.198287	+	0.868750i	−0.971956	+	0.235161i	$0.924438\pi$
$524$	−9.10128	+	4.38295i	−0.397591	+	0.191470i
$525$	−9.82093	+	34.5031i	−0.428620	+	1.50584i
$526$	9.78792	+	4.71361i	0.426773	+	0.205523i
$527$	0.599830	−	0.752163i	0.0261290	−	0.0327647i
$528$	−8.01982	−	3.86214i	−0.349018	−	0.168078i
$529$	5.03250	−	22.0488i	0.218804	−	0.958644i
$530$	0.260630	−	0.125513i	0.0113210	−	0.00545192i
$531$	−5.89122	−	25.8111i	−0.255657	−	1.12011i
$532$	5.32993	−	18.7252i	0.231082	−	0.811841i
$533$	6.14455	−	26.9210i	0.266150	−	1.16608i
$534$	8.26822	+	36.2254i	0.357801	+	1.56763i
$535$	−3.32729	−	4.17229i	−0.143851	−	0.180384i
$536$	2.36446	+	10.3594i	0.102129	+	0.447457i
$537$	−8.86120	−	4.26733i	−0.382389	−	0.184149i
$538$	−4.79462			−0.206711
$539$	15.8429	−	16.0466i	0.682402	−	0.691176i
$540$	−1.37812			−0.0593048
$541$	11.5738	+	5.57366i	0.497598	+	0.239631i	0.665811	−	0.746120i	$-0.268086\pi$
$541$	11.5738	+	5.57366i	0.497598	+	0.239631i	−0.168213	+	0.985751i	$0.553800\pi$
$542$	4.59808	+	20.1455i	0.197505	+	0.865324i
$543$	−0.180698	−	0.226589i	−0.00775451	−	0.00972385i
$544$	−0.983371	−	4.30843i	−0.0421617	−	0.184722i
$545$	−1.27576	+	5.58947i	−0.0546475	+	0.239426i
$546$	25.6492	+	1.35827i	1.09769	+	0.0581284i
$547$	−1.58545	−	6.94630i	−0.0677889	−	0.297002i	0.929657	−	0.368426i	$-0.120103\pi$
$547$	−1.58545	−	6.94630i	−0.0677889	−	0.297002i	−0.997446	+	0.0714232i	$0.977246\pi$
$548$	2.64130	−	1.27198i	0.112831	−	0.0543365i
$549$	8.40374	−	36.8192i	0.358663	−	1.57141i
$550$	14.2419	+	6.85853i	0.607276	+	0.292449i
$551$	−42.3562	+	53.1130i	−1.80443	+	2.26269i
$552$	−1.54302	−	0.743081i	−0.0656755	−	0.0316276i
$553$	−9.29739	−	13.0152i	−0.395365	−	0.553461i
$554$	15.8086	−	7.61302i	0.671643	−	0.323446i
$555$	1.05325	−	4.61458i	0.0447078	−	0.195878i
$556$	4.02963	−	5.05299i	0.170894	−	0.214295i
$557$	−16.4457			−0.696828			−0.348414	−	0.937341i	$-0.613280\pi$
$557$	−16.4457			−0.696828			−0.348414	+	0.937341i	$0.613280\pi$
$558$	1.00908			0.0427176
$559$	−10.3645	+	12.9967i	−0.438371	+	0.549700i
$560$	0.469054	+	0.656617i	0.0198212	+	0.0277471i
$561$	24.5262	+	30.7549i	1.03550	+	1.29847i
$562$	1.84427	+	2.31264i	0.0777959	+	0.0975530i
$563$	40.7662	−	19.6320i	1.71809	−	0.827389i	0.728234	−	0.685329i	$-0.240342\pi$
$563$	40.7662	−	19.6320i	1.71809	−	0.827389i	0.989858	−	0.142060i	$-0.0453727\pi$
$564$	18.4565	−	8.88819i	0.777160	−	0.374260i
$565$	2.66921	+	3.34708i	0.112294	+	0.140813i
$566$	8.77728	+	11.0064i	0.368937	+	0.462632i
$567$	3.75244	+	0.198712i	0.157588	+	0.00834513i
$568$	4.03119	−	5.05495i	0.169145	−	0.212101i
$569$	−37.0712			−1.55411			−0.777053	−	0.629435i	$-0.783286\pi$
$569$	−37.0712			−1.55411			−0.777053	+	0.629435i	$0.783286\pi$
$570$	−6.20154			−0.259754
$571$	−12.9575	+	16.2482i	−0.542254	+	0.679965i	−0.975167	−	0.221471i	$-0.928914\pi$
$571$	−12.9575	+	16.2482i	−0.542254	+	0.679965i	0.432913	+	0.901436i	$0.357486\pi$
$572$	2.51847	−	11.0341i	0.105302	−	0.461360i
$573$	34.5515	−	16.6391i	1.44341	−	0.695110i
$574$	19.1860	−	8.01898i	0.800808	−	0.334706i
$575$	2.74016	+	1.31959i	0.114272	+	0.0550307i
$576$	2.89002	−	3.62398i	0.120418	−	0.150999i
$577$	−25.7391	−	12.3953i	−1.07153	−	0.516023i	−0.186933	−	0.982373i	$-0.559855\pi$
$577$	−25.7391	−	12.3953i	−1.07153	−	0.516023i	−0.884601	+	0.466350i	$0.845569\pi$
$578$	−0.562889	+	2.46618i	−0.0234131	+	0.102579i
$579$	5.58707	−	2.69059i	0.232191	−	0.111817i
$580$	−0.626553	−	2.74511i	−0.0260162	−	0.113984i
$581$	−8.46769	−	4.64468i	−0.351299	−	0.192694i
$582$	0.806527	−	3.53362i	0.0334316	−	0.146473i
$583$	−0.679884	−	2.97876i	−0.0281579	−	0.123368i
$584$	5.53268	+	6.93776i	0.228944	+	0.287087i
$585$	−1.10525	−	4.84240i	−0.0456963	−	0.200209i
$586$	−11.4849	−	5.53084i	−0.474437	−	0.228477i
$587$	−12.5484			−0.517929			−0.258964	−	0.965887i	$-0.583381\pi$
$587$	−12.5484			−0.517929			−0.258964	+	0.965887i	$0.583381\pi$
$588$	10.3952	+	16.3116i	0.428689	+	0.672678i
$589$	1.60194			0.0660069
$590$	1.56952	+	0.755839i	0.0646160	+	0.0311174i
$591$	2.76898	+	12.1317i	0.113900	+	0.499031i
$592$	3.50174	+	4.39104i	0.143920	+	0.180471i
$593$	6.20017	+	27.1647i	0.254610	+	1.11552i	0.926922	+	0.375253i	$0.122444\pi$
$593$	6.20017	+	27.1647i	0.254610	+	1.11552i	−0.672312	+	0.740268i	$0.734699\pi$
$594$	−3.23897	+	14.1909i	−0.132897	+	0.582258i
$595$	−0.608564	−	3.51376i	−0.0249487	−	0.144050i
$596$	2.81440	+	12.3307i	0.115282	+	0.505085i
$597$	18.8484	−	9.07691i	0.771414	−	0.371493i
$598$	0.484557	−	2.12298i	0.0198150	−	0.0868152i
$599$	1.20155	+	0.578637i	0.0490941	+	0.0236424i	0.458270	−	0.888813i	$-0.348469\pi$
$599$	1.20155	+	0.578637i	0.0490941	+	0.0236424i	−0.409176	+	0.912456i	$0.634184\pi$
$600$	−8.45385	+	10.6008i	−0.345127	+	0.432776i
$601$	12.0580	+	5.80683i	0.491856	+	0.236865i	0.663335	−	0.748322i	$-0.269140\pi$
$601$	12.0580	+	5.80683i	0.491856	+	0.236865i	−0.171479	+	0.985188i	$0.554855\pi$
$602$	−12.5008	−	0.661985i	−0.509494	−	0.0269805i
$603$	44.3755	−	21.3701i	1.80711	−	0.870258i
$604$	−0.530479	+	2.32418i	−0.0215849	+	0.0945695i
$605$	0.118402	−	0.148471i	0.00481372	−	0.00603622i
$606$	12.8014			0.520021
$607$	20.4722			0.830939			0.415470	−	0.909607i	$-0.363617\pi$
$607$	20.4722			0.830939			0.415470	+	0.909607i	$0.363617\pi$
$608$	4.58801	−	5.75318i	0.186068	−	0.233322i
$609$	−11.5178	−	66.5021i	−0.466725	−	2.69480i
$610$	1.54936	+	1.94284i	0.0627319	+	0.0786633i
$611$	16.2398	+	20.3640i	0.656991	+	0.823841i
$612$	−18.4556	+	8.88776i	−0.746024	+	0.359266i
$613$	−17.9970	+	8.66689i	−0.726891	+	0.350052i	−0.760461	−	0.649384i	$-0.775027\pi$
$613$	−17.9970	+	8.66689i	−0.726891	+	0.350052i	0.0335693	+	0.999436i	$0.489313\pi$
$614$	−19.8980	−	24.9513i	−0.803016	−	1.00695i
$615$	−4.12983	−	5.17864i	−0.166531	−	0.208823i
$616$	7.86377	−	3.28674i	0.316840	−	0.132427i
$617$	2.17984	−	2.73343i	0.0877570	−	0.110044i	−0.736014	−	0.676966i	$-0.763294\pi$
$617$	2.17984	−	2.73343i	0.0877570	−	0.110044i	0.823771	+	0.566922i	$0.191866\pi$
$618$	41.8684			1.68420
$619$	4.49268			0.180576			0.0902880	−	0.995916i	$-0.471221\pi$
$619$	4.49268			0.180576			0.0902880	+	0.995916i	$0.471221\pi$
$620$	−0.0413976	+	0.0519110i	−0.00166257	+	0.00208480i
$621$	−0.623182	+	2.73034i	−0.0250074	+	0.109565i
$622$	−10.9303	+	5.26375i	−0.438264	+	0.211057i
$623$	−31.1933	−	17.1101i	−1.24973	−	0.685502i
$624$	8.74668	+	4.21218i	0.350147	+	0.168622i
$625$	14.7227	−	18.4616i	0.588906	−	0.738465i
$626$	16.4858	+	7.93917i	0.658907	+	0.317313i
$627$	−14.5754	+	63.8590i	−0.582085	+	2.55028i
$628$	−6.95864	+	3.35110i	−0.277680	+	0.133724i
$629$	−5.52296	−	24.1976i	−0.220215	−	0.964823i
$630$	2.48347	−	2.79693i	0.0989436	−	0.111432i
$631$	−4.77868	+	20.9367i	−0.190236	+	0.833479i	0.786252	+	0.617906i	$0.212019\pi$
$631$	−4.77868	+	20.9367i	−0.190236	+	0.833479i	−0.976488	+	0.215572i	$0.930838\pi$
$632$	−1.34525	−	5.89392i	−0.0535112	−	0.234448i
$633$	28.9167	+	36.2604i	1.14933	+	1.44122i
$634$	7.71803	+	33.8149i	0.306522	+	1.34296i
$635$	−2.46663	−	1.18786i	−0.0978851	−	0.0471390i
$636$	2.62079			0.103921
$637$	−17.2788	+	17.5009i	−0.684610	+	0.693413i
$638$	−29.7397			−1.17741
$639$	−27.0014	−	13.0032i	−1.06816	−	0.514397i
$640$	0.0678680	+	0.297349i	0.00268272	+	0.0117538i
$641$	6.73432	+	8.44456i	0.265989	+	0.333540i	0.896833	−	0.442370i	$-0.145862\pi$
$641$	6.73432	+	8.44456i	0.265989	+	0.333540i	−0.630843	+	0.775910i	$0.717291\pi$
$642$	−10.7584	−	47.1358i	−0.424602	−	1.86030i
$643$	−9.67107	+	42.3717i	−0.381390	+	1.67098i	0.311742	+	0.950167i	$0.399088\pi$
$643$	−9.67107	+	42.3717i	−0.381390	+	1.67098i	−0.693132	+	0.720811i	$0.743770\pi$
$644$	1.51300	−	0.632374i	0.0596206	−	0.0249190i
$645$	0.887305	+	3.88754i	0.0349376	+	0.153072i
$646$	−29.2989	+	14.1096i	−1.15275	+	0.555135i
$647$	−6.68978	+	29.3098i	−0.263002	+	1.15229i	0.654973	+	0.755652i	$0.272680\pi$
$647$	−6.68978	+	29.3098i	−0.263002	+	1.15229i	−0.917976	+	0.396637i	$0.870177\pi$
$648$	1.27962	+	0.616235i	0.0502684	+	0.0242080i
$649$	11.4719	−	14.3853i	0.450311	−	0.564672i
$650$	−15.5327	−	7.48014i	−0.609241	−	0.293395i
$651$	−1.05671	+	1.19009i	−0.0414157	+	0.0466432i
$652$	12.1315	−	5.84224i	0.475108	−	0.228800i
$653$	−3.21760	+	14.0972i	−0.125914	+	0.551667i	0.872137	+	0.489263i	$0.162734\pi$
$653$	−3.21760	+	14.0972i	−0.125914	+	0.551667i	−0.998051	+	0.0624045i	$0.980123\pi$
$654$	−32.3851	+	40.6096i	−1.26636	+	1.58796i
$655$	−3.08097			−0.120383
$656$	7.85954			0.306863
$657$	25.6453	−	32.1582i	1.00052	−	1.25461i
$658$	−5.36977	+	18.8652i	−0.209336	+	0.735442i
$659$	5.04503	+	6.32627i	0.196526	+	0.246436i	0.870324	−	0.492480i	$-0.163909\pi$
$659$	5.04503	+	6.32627i	0.196526	+	0.246436i	−0.673797	+	0.738916i	$0.735338\pi$
$660$	−1.69269	−	2.12257i	−0.0658880	−	0.0826209i
$661$	17.5182	−	8.43630i	0.681377	−	0.328134i	−0.0609792	−	0.998139i	$-0.519422\pi$
$661$	17.5182	−	8.43630i	0.681377	−	0.328134i	0.742357	+	0.670005i	$0.233708\pi$
$662$	−16.0591	+	7.73366i	−0.624155	+	0.300577i
$663$	−26.7491	−	33.5423i	−1.03885	−	1.30268i
$664$	−2.27595	−	2.85395i	−0.0883240	−	0.110755i
$665$	3.94258	−	4.44021i	0.152887	−	0.172184i
$666$	16.2314	−	20.3535i	0.628953	−	0.788682i
$667$	−5.72196			−0.221555
$668$	9.63792			0.372902
$669$	12.8775	−	16.1478i	0.497872	−	0.624312i
$670$	−0.721151	+	3.15957i	−0.0278605	+	0.122065i
$671$	23.6474	−	11.3880i	0.912897	−	0.439628i
$672$	1.24760	+	7.20348i	0.0481274	+	0.277880i
$673$	4.06067	+	1.95551i	0.156527	+	0.0753795i	0.510507	−	0.859873i	$-0.329458\pi$
$673$	4.06067	+	1.95551i	0.156527	+	0.0753795i	−0.353980	+	0.935253i	$0.615172\pi$
$674$	7.87763	−	9.87824i	0.303435	−	0.380496i
$675$	19.9764	+	9.62011i	0.768891	+	0.370278i
$676$	0.146048	−	0.639879i	0.00561724	−	0.0246107i
$677$	−30.0208	+	14.4572i	−1.15379	+	0.555637i	−0.910171	−	0.414233i	$-0.864050\pi$
$677$	−30.0208	+	14.4572i	−1.15379	+	0.555637i	−0.243621	+	0.969870i	$0.578335\pi$
$678$	8.63060	+	37.8131i	0.331456	+	1.45220i
$679$	2.01728	+	2.82393i	0.0774160	+	0.108373i
$680$	0.299924	−	1.31405i	0.0115016	−	0.0503917i
$681$	4.10130	+	17.9690i	0.157162	+	0.688573i
$682$	0.437245	+	0.548288i	0.0167430	+	0.0209950i
$683$	−1.31257	−	5.75075i	−0.0502241	−	0.220046i	0.943588	−	0.331123i	$-0.107427\pi$
$683$	−1.31257	−	5.75075i	−0.0502241	−	0.220046i	−0.993812	+	0.111076i	$0.964570\pi$
$684$	−30.7310	−	14.7993i	−1.17503	−	0.565864i
$685$	0.894134			0.0341631
$686$	−18.2875	−	2.92717i	−0.698219	−	0.111760i
$687$	−34.1748			−1.30385
$688$	−4.26291	−	2.05291i	−0.162522	−	0.0782665i
$689$	0.741503	+	3.24874i	0.0282490	+	0.123767i
$690$	−0.325676	−	0.408385i	−0.0123983	−	0.0155470i
$691$	−7.50444	−	32.8791i	−0.285482	−	1.25078i	−0.890653	−	0.454684i	$-0.849752\pi$
$691$	−7.50444	−	32.8791i	−0.285482	−	1.25078i	0.605171	−	0.796096i	$-0.293105\pi$
$692$	−1.16487	+	5.10363i	−0.0442817	+	0.194011i
$693$	−22.9639	−	32.1465i	−0.872325	−	1.22114i
$694$	−0.878706	−	3.84986i	−0.0333552	−	0.146139i
$695$	1.77598	−	0.855269i	0.0673669	−	0.0324422i
$696$	5.67643	−	24.8701i	0.215164	−	0.942697i
$697$	−31.2935	−	15.0701i	−1.18532	−	0.570822i
$698$	16.3945	−	20.5581i	0.620543	−	0.778136i
$699$	32.9181	+	15.8525i	1.24508	+	0.599597i
$700$	−2.21554	−	12.7922i	−0.0837396	−	0.483500i
$701$	39.5760	−	19.0588i	1.49476	−	0.719840i	0.505075	−	0.863076i	$-0.331465\pi$
$701$	39.5760	−	19.0588i	1.49476	−	0.719840i	0.989689	+	0.143235i	$0.0457506\pi$
$702$	3.53253	−	15.4770i	0.133327	−	0.584142i
$703$	25.7678	−	32.3118i	0.971852	−	1.21866i
$704$	3.22139			0.121411
$705$	6.24790			0.235310
$706$	−6.01997	+	7.54880i	−0.226564	+	0.284103i
$707$	−8.13837	+	9.16559i	−0.306075	+	0.344708i
$708$	9.84017	+	12.3392i	0.369816	+	0.463735i
$709$	12.9312	+	16.2152i	0.485642	+	0.608976i	0.962923	−	0.269775i	$-0.0869493\pi$
$709$	12.9312	+	16.2152i	0.485642	+	0.608976i	−0.477282	+	0.878750i	$0.658378\pi$
$710$	1.77667	−	0.855600i	0.0666773	−	0.0321101i
$711$	−25.2472	+	12.1584i	−0.946845	+	0.455977i
$712$	−8.38415	−	10.5134i	−0.314209	−	0.394006i
$713$	0.0841266	+	0.105491i	0.00315057	+	0.00395068i
$714$	8.84474	−	31.0735i	0.331006	−	1.16290i
$715$	2.15223	−	2.69881i	0.0804889	−	0.100930i
$716$	3.55935			0.133019
$717$	47.7818			1.78444
$718$	20.1014	−	25.2064i	0.750178	−	0.940693i
$719$	−3.25021	+	14.2401i	−0.121212	+	0.531066i	0.877465	+	0.479641i	$0.159233\pi$
$719$	−3.25021	+	14.2401i	−0.121212	+	0.531066i	−0.998677	+	0.0514244i	$0.983624\pi$
$720$	1.27373	−	0.613394i	0.0474690	−	0.0228598i
$721$	−26.6175	+	29.9772i	−0.991288	+	1.11641i
$722$	−31.6680	−	15.2505i	−1.17856	−	0.567565i
$723$	−5.14566	+	6.45245i	−0.191369	+	0.239969i
$724$	0.0944982	+	0.0455079i	0.00351200	+	0.00169129i
$725$	−10.0804	+	44.1651i	−0.374377	+	1.64025i
$726$	1.55009	−	0.746483i	0.0575292	−	0.0277046i
$727$	−0.302256	−	1.32427i	−0.0112100	−	0.0491144i	0.969014	−	0.247008i	$-0.0794472\pi$
$727$	−0.302256	−	1.32427i	−0.0112100	−	0.0491144i	−0.980224	+	0.197893i	$0.936590\pi$
$728$	−8.57648	+	3.58463i	−0.317866	+	0.132855i
$729$	9.79974	−	42.9355i	0.362953	−	1.59020i
$730$	0.602242	+	2.63860i	0.0222900	+	0.0976588i
$731$	13.0369	+	16.3477i	0.482185	+	0.604641i
$732$	5.00970	+	21.9489i	0.185164	+	0.811256i
$733$	−29.5430	−	14.2272i	−1.09120	−	0.525492i	−0.200316	−	0.979731i	$-0.564197\pi$
$733$	−29.5430	−	14.2272i	−1.09120	−	0.525492i	−0.890880	+	0.454239i	$0.849911\pi$
$734$	−2.72559			−0.100603
$735$	0.697949	+	5.85791i	0.0257442	+	0.216072i
$736$	0.619800			0.0228461
$737$	30.8400	+	14.8518i	1.13601	+	0.547072i
$738$	−8.10662	−	35.5174i	−0.298409	−	1.30742i
$739$	−31.6090	−	39.6365i	−1.16276	−	1.45805i	−0.863835	−	0.503774i	$-0.831944\pi$
$739$	−31.6090	−	39.6365i	−1.16276	−	1.45805i	−0.298922	−	0.954278i	$-0.596627\pi$
$740$	0.381170	+	1.67002i	0.0140121	+	0.0613910i
$741$	15.8964	−	69.6467i	0.583969	−	2.55853i
$742$	−1.66614	+	1.87644i	−0.0611660	+	0.0688864i
$743$	9.53749	+	41.7865i	0.349897	+	1.53300i	0.777414	+	0.628990i	$0.216531\pi$
$743$	9.53749	+	41.7865i	0.349897	+	1.53300i	−0.427517	+	0.904007i	$0.640612\pi$
$744$	−0.541968	+	0.260998i	−0.0198695	+	0.00956865i
$745$	−0.858381	+	3.76081i	−0.0314486	+	0.137786i
$746$	28.3303	+	13.6432i	1.03725	+	0.499512i
$747$	−10.5496	+	13.2287i	−0.385989	+	0.484014i
$748$	−12.8263	−	6.17680i	−0.468974	−	0.225846i
$749$	40.5881	+	22.2633i	1.48306	+	0.813485i
$750$	−7.52240	+	3.62260i	−0.274679	+	0.132278i
$751$	−6.39587	+	28.0222i	−0.233389	+	1.02254i	0.713418	+	0.700739i	$0.247146\pi$
$751$	−6.39587	+	28.0222i	−0.233389	+	1.02254i	−0.946806	+	0.321804i	$0.895711\pi$
$752$	−4.62230	+	5.79618i	−0.168558	+	0.211365i
$753$	2.08813			0.0760957
$754$	32.4351			1.18122
$755$	−0.453336	+	0.568466i	−0.0164986	+	0.0206886i
$756$	11.0301	−	4.61015i	0.401161	−	0.167669i
$757$	27.3136	+	34.2501i	0.992728	+	1.24484i	0.969495	+	0.245112i	$0.0788247\pi$
$757$	27.3136	+	34.2501i	0.992728	+	1.24484i	0.0232335	+	0.999730i	$0.492604\pi$
$758$	−8.91669	−	11.1812i	−0.323869	−	0.406119i
$759$	−4.97069	+	2.39376i	−0.180424	+	0.0868878i
$760$	2.02208	−	0.973782i	0.0733485	−	0.0353228i
$761$	−23.6950	−	29.7126i	−0.858945	−	1.07708i	−0.996247	−	0.0865533i	$-0.972415\pi$
$761$	−23.6950	−	29.7126i	−0.858945	−	1.07708i	0.137303	−	0.990529i	$-0.456157\pi$
$762$	−15.4647	−	19.3921i	−0.560225	−	0.702500i
$763$	−8.48730	−	49.0044i	−0.307261	−	1.77408i
$764$	−8.65318	+	10.8507i	−0.313061	+	0.392566i
$765$	−6.24759			−0.225882
$766$	−0.0222728			−0.000804748
$767$	−12.5116	+	15.6891i	−0.451768	+	0.566500i
$768$	−0.614868	+	2.69391i	−0.0221872	+	0.0972083i
$769$	8.28051	−	3.98768i	0.298603	−	0.143800i	−0.278584	−	0.960412i	$-0.589865\pi$
$769$	8.28051	−	3.98768i	0.298603	−	0.143800i	0.577186	+	0.816612i	$0.304151\pi$
$770$	2.59584	+	0.137464i	0.0935477	+	0.00495386i
$771$	−35.1712	−	16.9376i	−1.26666	−	0.609992i
$772$	−1.39924	+	1.75459i	−0.0503597	+	0.0631491i
$773$	−34.0080	−	16.3774i	−1.22318	−	0.589054i	−0.292986	−	0.956117i	$-0.594649\pi$
$773$	−34.0080	−	16.3774i	−1.22318	−	0.589054i	−0.930196	+	0.367063i	$0.880363\pi$
$774$	−4.88022	+	21.3817i	−0.175416	+	0.768548i
$775$	0.962445	−	0.463489i	0.0345721	−	0.0166490i
$776$	0.291882	+	1.27882i	0.0104780	+	0.0459069i
$777$	7.00698	+	40.4573i	0.251374	+	1.45140i
$778$	1.56314	−	6.84858i	0.0560414	−	0.245533i
$779$	−12.8695	−	56.3851i	−0.461099	−	2.02020i
$780$	1.84611	+	2.31494i	0.0661012	+	0.0828883i
$781$	−4.63466	−	20.3058i	−0.165841	−	0.726598i
$782$	−2.46779	−	1.18842i	−0.0882480	−	0.0424980i
$783$	−41.7143			−1.49075
$784$	−5.95074	−	3.68629i	−0.212526	−	0.131653i
$785$	−2.35564			−0.0840763
$786$	−25.1486	−	12.1109i	−0.897021	−	0.431983i
$787$	−2.35722	−	10.3277i	−0.0840259	−	0.368141i	0.915381	−	0.402590i	$-0.131890\pi$
$787$	−2.35722	−	10.3277i	−0.0840259	−	0.368141i	−0.999406	+	0.0344481i	$0.989033\pi$
$788$	−2.80780	−	3.52087i	−0.100024	−	0.125426i
$789$	6.67979	+	29.2661i	0.237807	+	1.04190i
$790$	0.410296	−	1.79762i	0.0145977	−	0.0639565i
$791$	−32.5605	−	17.8600i	−1.15772	−	0.635029i
$792$	−3.32266	−	14.5575i	−0.118066	−	0.517280i
$793$	−25.7906	+	12.4201i	−0.915852	+	0.441051i
$794$	−0.436343	+	1.91174i	−0.0154852	+	0.0678453i
$795$	0.720170	+	0.346816i	0.0255418	+	0.0123003i
$796$	−4.72044	+	5.91925i	−0.167312	+	0.209802i
$797$	−14.7470	−	7.10179i	−0.522366	−	0.251558i	0.154070	−	0.988060i	$-0.450762\pi$
$797$	−14.7470	−	7.10179i	−0.522366	−	0.251558i	−0.676436	+	0.736502i	$0.736476\pi$
$798$	49.6356	−	20.7457i	1.75708	−	0.734390i
$799$	29.5179	−	14.2151i	1.04427	−	0.502893i
$800$	1.09191	−	4.78395i	0.0386047	−	0.169138i
$801$	−38.8626	+	48.7321i	−1.37314	+	1.72186i
$802$	−13.8775			−0.490033
$803$	28.5858			1.00877
$804$	−18.3064	+	22.9555i	−0.645616	+	0.809576i
$805$	0.499444	+	0.0264483i	0.0176031	+	0.000932179i
$806$	−0.476874	−	0.597981i	−0.0167972	−	0.0210630i
$807$	−8.26028	−	10.3581i	−0.290776	−	0.364621i
$808$	−4.17403	+	2.01011i	−0.146842	+	0.0707153i
$809$	25.3984	−	12.2312i	0.892961	−	0.430027i	0.0696192	−	0.997574i	$-0.477822\pi$
$809$	25.3984	−	12.2312i	0.892961	−	0.430027i	0.823341	+	0.567547i	$0.192107\pi$
$810$	0.270082	+	0.338673i	0.00948973	+	0.0118997i
$811$	−15.4457	−	19.3683i	−0.542372	−	0.680113i	0.432818	−	0.901481i	$-0.357519\pi$
$811$	−15.4457	−	19.3683i	−0.542372	−	0.680113i	−0.975190	+	0.221368i	$0.928948\pi$
$812$	14.1978	+	19.8752i	0.498246	+	0.697482i
$813$	−35.5997	+	44.6406i	−1.24854	+	1.56562i
$814$	18.0925			0.634140
$815$	4.10677			0.143854
$816$	7.61355	−	9.54709i	0.266528	−	0.334215i
$817$	−7.74751	+	33.9441i	−0.271051	+	1.18755i
$818$	13.1560	−	6.33557i	0.459987	−	0.221518i
$819$	25.0451	+	35.0600i	0.875148	+	1.22510i
$820$	2.15974	+	1.04007i	0.0754213	+	0.0363210i
$821$	21.3275	−	26.7438i	0.744335	−	0.933367i	−0.255102	−	0.966914i	$-0.582109\pi$
$821$	21.3275	−	26.7438i	0.744335	−	0.933367i	0.999437	+	0.0335474i	$0.0106805\pi$
$822$	7.29843	+	3.51474i	0.254562	+	0.122591i
$823$	−9.21333	+	40.3663i	−0.321157	+	1.40708i	0.514341	+	0.857586i	$0.328036\pi$
$823$	−9.21333	+	40.3663i	−0.321157	+	1.40708i	−0.835498	+	0.549493i	$0.814821\pi$
$824$	−13.6517	+	6.57429i	−0.475578	+	0.229026i
$825$	9.71941	+	42.5835i	0.338386	+	1.48257i
$826$	−15.0905	−	0.799123i	−0.525065	−	0.0278050i
$827$	−5.09646	+	22.3291i	−0.177221	+	0.776458i	0.805684	+	0.592346i	$0.201798\pi$
$827$	−5.09646	+	22.3291i	−0.177221	+	0.776458i	−0.982905	+	0.184112i	$0.941059\pi$
$828$	−0.639285	−	2.80089i	−0.0222167	−	0.0973377i
$829$	−5.19919	−	6.51958i	−0.180575	−	0.226434i	0.683303	−	0.730135i	$-0.260543\pi$
$829$	−5.19919	−	6.51958i	−0.180575	−	0.226434i	−0.863878	+	0.503701i	$0.831971\pi$
$830$	−0.247741	−	1.08543i	−0.00859922	−	0.0376757i
$831$	43.6822	+	21.0362i	1.51532	+	0.729739i
$832$	−3.51336			−0.121804
$833$	16.6252	+	26.0874i	0.576028	+	0.903876i
$834$	17.8586			0.618392
$835$	2.64842	+	1.27541i	0.0916524	+	0.0441374i
$836$	−5.27484	−	23.1106i	−0.182434	−	0.799296i
$837$	0.613302	+	0.769056i	0.0211988	+	0.0265825i
$838$	−0.0761847	−	0.333787i	−0.00263176	−	0.0115305i
$839$	−1.49838	+	6.56485i	−0.0517300	+	0.226644i	−0.994184	−	0.107691i	$-0.965654\pi$
$839$	−1.49838	+	6.56485i	−0.0517300	+	0.226644i	0.942454	+	0.334335i	$0.108512\pi$
$840$	−0.610425	+	2.14456i	−0.0210617	+	0.0739942i
$841$	−12.5121	−	54.8189i	−0.431450	−	1.89031i
$842$	15.3109	−	7.37332i	0.527647	−	0.254101i
$843$	−1.81877	+	7.96855i	−0.0626417	+	0.274451i
$844$	−15.1223	−	7.28251i	−0.520530	−	0.250674i
$845$	0.124810	−	0.156507i	0.00429359	−	0.00538399i
$846$	30.9607	+	14.9099i	1.06445	+	0.512612i
$847$	−0.450985	+	1.58441i	−0.0154960	+	0.0544410i
$848$	−0.854535	+	0.411522i	−0.0293449	+	0.0141317i
$849$	−8.65591	+	37.9240i	−0.297070	+	1.30155i
$850$	−13.5204	+	16.9541i	−0.463746	+	0.581520i
$851$	3.48101			0.119328
$852$	17.8655			0.612062
$853$	22.9427	−	28.7692i	0.785543	−	0.985040i	−0.214422	−	0.976741i	$-0.568787\pi$
$853$	22.9427	−	28.7692i	0.785543	−	0.985040i	0.999966	−	0.00829884i	$-0.00264163\pi$
$854$	−18.9000	−	10.3670i	−0.646744	−	0.354751i
$855$	−6.48620	−	8.13343i	−0.221823	−	0.278157i
$856$	10.9093	+	13.6798i	0.372872	+	0.467567i
$857$	41.1652	−	19.8241i	1.40618	−	0.677180i	0.431774	−	0.901982i	$-0.357888\pi$
$857$	41.1652	−	19.8241i	1.40618	−	0.677180i	0.974404	+	0.224802i	$0.0721737\pi$
$858$	28.1765	−	13.5691i	0.961929	−	0.463241i
$859$	24.6385	+	30.8957i	0.840655	+	1.05415i	0.997782	+	0.0665697i	$0.0212055\pi$
$859$	24.6385	+	30.8957i	0.840655	+	1.05415i	−0.157127	+	0.987578i	$0.550223\pi$
$860$	−0.899746	−	1.12825i	−0.0306811	−	0.0384729i
$861$	50.3779	+	27.6332i	1.71687	+	0.941737i
$862$	−18.4598	+	23.1478i	−0.628743	+	0.788419i
$863$	31.1734			1.06115			0.530577	−	0.847637i	$-0.321975\pi$
$863$	31.1734			1.06115			0.530577	+	0.847637i	$0.321975\pi$
$864$	4.51848			0.153722
$865$	−0.995473	+	1.24828i	−0.0338471	+	0.0424429i
$866$	1.04790	−	4.59115i	0.0356091	−	0.156014i
$867$	−6.29756	+	3.03275i	−0.213876	+	0.102997i
$868$	0.157681	−	0.553968i	0.00535204	−	0.0188029i
$869$	−17.5463	−	8.44985i	−0.595217	−	0.286641i
$870$	4.85096	−	6.08291i	0.164463	−	0.206230i
$871$	−33.6351	−	16.1978i	−1.13968	−	0.548843i
$872$	4.18287	−	18.3264i	0.141650	−	0.620609i
$873$	5.47795	−	2.63804i	0.185401	−	0.0892843i
$874$	−1.01489	−	4.44650i	−0.0343290	−	0.150405i
$875$	2.18858	−	7.68896i	0.0739875	−	0.259934i
$876$	−5.45618	+	23.9051i	−0.184347	+	0.807678i
$877$	−8.00753	−	35.0833i	−0.270395	−	1.18468i	−0.909548	−	0.415599i	$-0.863572\pi$
$877$	−8.00753	−	35.0833i	−0.270395	−	1.18468i	0.639153	−	0.769080i	$-0.279285\pi$
$878$	7.22291	+	9.05724i	0.243761	+	0.305667i
$879$	−7.83790	−	34.3401i	−0.264366	−	1.15826i
$880$	0.885212	+	0.426296i	0.0298405	+	0.0143704i
$881$	24.1710			0.814342			0.407171	−	0.913352i	$-0.366515\pi$
$881$	24.1710			0.814342			0.407171	+	0.913352i	$0.366515\pi$
$882$	−10.5206	+	30.6937i	−0.354247	+	1.03351i
$883$	−26.1128			−0.878766			−0.439383	−	0.898300i	$-0.644803\pi$
$883$	−26.1128			−0.878766			−0.439383	+	0.898300i	$0.644803\pi$
$884$	13.9887	+	6.73662i	0.470492	+	0.226577i
$885$	1.07112	+	4.69288i	0.0360053	+	0.157750i
$886$	−6.57140	−	8.24027i	−0.220770	−	0.276837i
$887$	5.21584	+	22.8521i	0.175131	+	0.767298i	0.983834	+	0.179082i	$0.0573126\pi$
$887$	5.21584	+	22.8521i	0.175131	+	0.767298i	−0.808703	+	0.588217i	$0.799830\pi$
$888$	−3.45332	+	15.1300i	−0.115886	+	0.507728i
$889$	23.7160	+	1.25589i	0.795408	+	0.0421212i
$890$	−0.912630	−	3.99849i	−0.0305914	−	0.134030i
$891$	4.12217	−	1.98513i	0.138098	−	0.0665045i
$892$	−1.66326	+	7.28723i	−0.0556902	+	0.243995i
$893$	49.1511	+	23.6699i	1.64478	+	0.792084i
$894$	−21.7899	+	27.3237i	−0.728764	+	0.913842i
$895$	0.978082	+	0.471019i	0.0326937	+	0.0157444i
$896$	−1.53790	−	2.15287i	−0.0513778	−	0.0719224i
$897$	5.42119	−	2.61071i	0.181008	−	0.0871690i
$898$	−3.99150	+	17.4879i	−0.133198	+	0.583579i
$899$	−1.25307	+	1.57130i	−0.0417921	+	0.0524057i
$900$	−22.7450			−0.758167
$901$	4.19147			0.139638
$902$	15.7859	−	19.7949i	0.525614	−	0.659099i
$903$	−20.1065	−	28.1466i	−0.669104	−	0.936660i
$904$	−8.75162	−	10.9742i	−0.291074	−	0.364996i
$905$	0.0199451	+	0.0250104i	0.000662999	+	0.000831374i
$906$	−5.93497	+	2.85813i	−0.197176	+	0.0949550i
$907$	24.6485	−	11.8701i	0.818439	−	0.394139i	0.0226725	−	0.999743i	$-0.492783\pi$
$907$	24.6485	−	11.8701i	0.818439	−	0.394139i	0.795767	+	0.605603i	$0.207068\pi$
$908$	−4.15881	−	5.21498i	−0.138015	−	0.173065i
$909$	13.3890	+	16.7892i	0.444084	+	0.556864i
$910$	−2.83111	−	0.149923i	−0.0938504	−	0.00496989i
$911$	33.6220	−	42.1606i	1.11395	−	1.39684i	0.205594	−	0.978637i	$-0.434087\pi$
$911$	33.6220	−	42.1606i	1.11395	−	1.39684i	0.908352	−	0.418207i	$-0.137341\pi$
$912$	20.3332			0.673300
$913$	−11.7592			−0.389172
$914$	−18.2667	+	22.9057i	−0.604208	+	0.757653i
$915$	−1.52794	+	6.69434i	−0.0505121	+	0.221308i
$916$	11.1430	−	5.36621i	0.368177	−	0.177305i
$917$	24.6593	−	10.3066i	0.814320	−	0.340354i
$918$	−17.9907	−	8.66388i	−0.593783	−	0.285951i
$919$	12.2838	−	15.4034i	0.405206	−	0.508112i	−0.536800	−	0.843710i	$-0.680367\pi$
$919$	12.2838	−	15.4034i	0.405206	−	0.508112i	0.942005	+	0.335598i	$0.108938\pi$
$920$	0.170316	+	0.0820199i	0.00561515	+	0.00270411i
$921$	19.6228	−	85.9732i	0.646594	−	2.83291i
$922$	31.8095	−	15.3186i	1.04759	−	0.504492i
$923$	5.05471	+	22.1461i	0.166378	+	0.728949i
$924$	20.6484	+	11.3260i	0.679283	+	0.372599i
$925$	6.13252	−	26.8683i	0.201636	−	0.883425i
$926$	6.45174	+	28.2669i	0.212017	+	0.928909i
$927$	43.7902	+	54.9112i	1.43826	+	1.80352i
$928$	2.05430	+	9.00047i	0.0674357	+	0.295455i
$929$	19.9971	+	9.63011i	0.656084	+	0.315954i	0.732144	−	0.681150i	$-0.238520\pi$
$929$	19.9971	+	9.63011i	0.656084	+	0.315954i	−0.0760599	+	0.997103i	$0.524234\pi$
$930$	−0.183467			−0.00601611
$931$	−16.7018	+	48.7272i	−0.547380	+	1.59697i
$932$	−13.2225			−0.433117
$933$	−30.2025	−	14.5447i	−0.988785	−	0.476174i
$934$	−3.57259	−	15.6525i	−0.116899	−	0.512167i
$935$	−2.70716	−	3.39467i	−0.0885335	−	0.111018i
$936$	3.62381	+	15.8769i	0.118448	+	0.518954i
$937$	2.02309	−	8.86374i	0.0660915	−	0.289566i	−0.931072	−	0.364836i	$-0.881125\pi$
$937$	2.02309	−	8.86374i	0.0660915	−	0.289566i	0.997163	+	0.0752707i	$0.0239821\pi$
$938$	−4.79763	−	27.7008i	−0.156648	−	0.904464i
$939$	11.2508	+	49.2930i	0.367156	+	1.60862i
$940$	−2.03720	+	0.981061i	−0.0664460	+	0.0319987i
$941$	2.49965	−	10.9517i	0.0814864	−	0.357015i	−0.917703	−	0.397267i	$-0.869959\pi$
$941$	2.49965	−	10.9517i	0.0814864	−	0.357015i	0.999190	+	0.0402515i	$0.0128159\pi$
$942$	−19.2281	−	9.25975i	−0.626484	−	0.301699i
$943$	3.03723	−	3.80857i	0.0989059	−	0.124024i
$944$	−5.14602	−	2.47819i	−0.167489	−	0.0806584i
$945$	3.64106	+	0.192814i	0.118444	+	0.00627223i
$946$	−13.7325	+	6.61323i	−0.446483	+	0.215015i
$947$	1.65346	−	7.24429i	0.0537303	−	0.235408i	−0.940931	−	0.338597i	$-0.890048\pi$
$947$	1.65346	−	7.24429i	0.0537303	−	0.235408i	0.994662	+	0.103189i	$0.0329047\pi$
$948$	10.4153	−	13.0604i	0.338274	−	0.424182i
$949$	−31.1766			−1.01203
$950$	−36.1084			−1.17151
$951$	−59.7553	+	74.9308i	−1.93770	+	2.42980i
$952$	1.99532	+	11.5207i	0.0646687	+	0.373387i
$953$	28.8635	+	36.1937i	0.934981	+	1.17243i	0.984804	+	0.173671i	$0.0555630\pi$
$953$	28.8635	+	36.1937i	0.934981	+	1.17243i	−0.0498226	+	0.998758i	$0.515866\pi$
$954$	2.74108	+	3.43721i	0.0887457	+	0.111284i
$955$	−3.81373	+	1.83660i	−0.123409	+	0.0594308i
$956$	−15.5798	+	7.50282i	−0.503886	+	0.242659i
$957$	−51.2362	−	64.2482i	−1.65623	−	2.07685i
$958$	−6.34008	−	7.95021i	−0.204839	−	0.256860i
$959$	−7.15642	+	2.99110i	−0.231093	+	0.0965876i
$960$	−0.525454	+	0.658898i	−0.0169590	+	0.0212659i
$961$	−30.9526			−0.998471
$962$	−19.7322			−0.636192
$963$	50.5672	−	63.4093i	1.62951	−	2.04334i
$964$	0.664616	−	2.91188i	0.0214059	−	0.0937852i
$965$	−0.616689	+	0.296982i	−0.0198519	+	0.00956019i
$966$	3.97278	+	2.17914i	0.127822	+	0.0701128i
$967$	−49.0434	−	23.6180i	−1.57713	−	0.759505i	−0.578699	−	0.815541i	$-0.696439\pi$
$967$	−49.0434	−	23.6180i	−1.57713	−	0.759505i	−0.998429	+	0.0560364i	$0.982154\pi$
$968$	−0.388208	+	0.486798i	−0.0124775	+	0.0156463i
$969$	−80.9585	−	38.9875i	−2.60076	−	1.25246i
$970$	−0.0890228	+	0.390035i	−0.00285835	+	0.0125233i
$971$	41.3138	−	19.8957i	1.32582	−	0.638482i	0.369074	−	0.929400i	$-0.379675\pi$
$971$	41.3138	−	19.8957i	1.32582	−	0.638482i	0.956748	+	0.290918i	$0.0939606\pi$
$972$	3.88965	+	17.0417i	0.124761	+	0.546612i
$973$	−11.3534	+	12.7865i	−0.363975	+	0.409915i
$974$	−1.86987	+	8.19243i	−0.0599145	+	0.262502i
$975$	−10.6003	−	46.4430i	−0.339481	−	1.48737i
$976$	−5.07995	−	6.37005i	−0.162605	−	0.203900i
$977$	6.16374	+	27.0051i	0.197196	+	0.863970i	0.972596	+	0.232501i	$0.0746908\pi$
$977$	6.16374	+	27.0051i	0.197196	+	0.863970i	−0.775401	+	0.631470i	$0.782452\pi$
$978$	33.5218	+	16.1432i	1.07191	+	0.516204i
$979$	−43.3185			−1.38447
$980$	−1.14740	−	1.80044i	−0.0366523	−	0.0575129i
$981$	−87.1317			−2.78190
$982$	−7.30943	−	3.52004i	−0.233253	−	0.112329i
$983$	−2.92562	−	12.8180i	−0.0933126	−	0.408829i	0.906601	−	0.421989i	$-0.138668\pi$
$983$	−2.92562	−	12.8180i	−0.0933126	−	0.408829i	−0.999913	+	0.0131600i	$0.995811\pi$
$984$	13.5406	+	16.9794i	0.431658	+	0.541282i
$985$	−0.305634	−	1.33907i	−0.00973831	−	0.0426663i
$986$	9.07842	−	39.7752i	0.289116	−	1.26670i
$987$	−50.0066	+	20.9008i	−1.59173	+	0.665279i
$988$	5.75291	+	25.2051i	0.183024	+	0.801882i
$989$	−2.64215	+	1.27239i	−0.0840156	+	0.0404598i
$990$	1.01340	−	4.43999i	0.0322079	−	0.141112i
$991$	1.24332	+	0.598750i	0.0394952	+	0.0190199i	0.453527	−	0.891242i	$-0.350166\pi$
$991$	1.24332	+	0.598750i	0.0394952	+	0.0190199i	−0.414032	+	0.910262i	$0.635880\pi$
$992$	0.135732	−	0.170202i	0.00430949	−	0.00540393i
$993$	−44.3744	−	21.3696i	−1.40818	−	0.678144i
$994$	−11.3578	+	12.7914i	−0.360249	+	0.405719i
$995$	−2.08045	+	1.00189i	−0.0659547	+	0.0317621i
$996$	2.24448	−	9.83371i	0.0711190	−	0.311593i
$997$	−10.2183	+	12.8133i	−0.323617	+	0.405803i	−0.916852	−	0.399226i	$-0.869279\pi$
$997$	−10.2183	+	12.8133i	−0.323617	+	0.405803i	0.593236	+	0.805029i	$0.297850\pi$
$998$	17.0029			0.538216
$999$	25.3774			0.802904

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.a.29.1	✓	18
3.2	odd	2		882.2.u.j.127.2		18
4.3	odd	2		784.2.u.c.225.3		18
7.2	even	3		686.2.g.i.459.3		36
7.3	odd	6		686.2.g.j.373.3		36
7.4	even	3		686.2.g.i.373.1		36
7.5	odd	6		686.2.g.j.459.1		36
7.6	odd	2		686.2.e.a.197.3		18
49.4	even	21		686.2.g.i.275.3		36
49.13	odd	14		4802.2.a.e.1.3		9
49.22	even	7	inner	98.2.e.a.71.1	yes	18
49.23	even	21		686.2.g.i.263.1		36
49.26	odd	42		686.2.g.j.263.3		36
49.27	odd	14		686.2.e.a.491.3		18
49.36	even	7		4802.2.a.h.1.7		9
49.45	odd	42		686.2.g.j.275.1		36
147.71	odd	14		882.2.u.j.757.2		18
196.71	odd	14		784.2.u.c.561.3		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.a.29.1	✓	18	1.1	even	1	trivial
98.2.e.a.71.1	yes	18	49.22	even	7	inner
686.2.e.a.197.3		18	7.6	odd	2
686.2.e.a.491.3		18	49.27	odd	14
686.2.g.i.263.1		36	49.23	even	21
686.2.g.i.275.3		36	49.4	even	21
686.2.g.i.373.1		36	7.4	even	3
686.2.g.i.459.3		36	7.2	even	3
686.2.g.j.263.3		36	49.26	odd	42
686.2.g.j.275.1		36	49.45	odd	42
686.2.g.j.373.3		36	7.3	odd	6
686.2.g.j.459.1		36	7.5	odd	6
784.2.u.c.225.3		18	4.3	odd	2
784.2.u.c.561.3		18	196.71	odd	14
882.2.u.j.127.2		18	3.2	odd	2
882.2.u.j.757.2		18	147.71	odd	14
4802.2.a.e.1.3		9	49.13	odd	14
4802.2.a.h.1.7		9	49.36	even	7

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.900969 - 0.433884i) q^{2} +(-0.614868 - 2.69391i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.0678680 + 0.297349i) q^{5} +(-0.614868 + 2.69391i) q^{6} +(-1.53790 - 2.15287i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(-4.17621 + 2.01115i) q^{9} +O(q^{10})\)	\(q+(-0.900969 - 0.433884i) q^{2} +(-0.614868 - 2.69391i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.0678680 + 0.297349i) q^{5} +(-0.614868 + 2.69391i) q^{6} +(-1.53790 - 2.15287i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(-4.17621 + 2.01115i) q^{9} +(0.0678680 - 0.297349i) q^{10} +(-2.90237 - 1.39771i) q^{11} +(1.72282 - 2.16035i) q^{12} +(3.16542 + 1.52439i) q^{13} +(0.451508 + 2.60694i) q^{14} +(0.759303 - 0.365661i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(2.75535 - 3.45509i) q^{17} +4.63524 q^{18} +7.35859 q^{19} +(-0.190162 + 0.238455i) q^{20} +(-4.85404 + 5.46671i) q^{21} +(2.00850 + 2.51859i) q^{22} +(0.386439 + 0.484579i) q^{23} +(-2.48955 + 1.19890i) q^{24} +(4.42103 - 2.12906i) q^{25} +(-2.19054 - 2.74685i) q^{26} +(2.81723 + 3.53269i) q^{27} +(0.724314 - 2.54467i) q^{28} +(-5.75602 + 7.21782i) q^{29} -0.842763 q^{30} +0.217697 q^{31} +(0.623490 - 0.781831i) q^{32} +(-1.98073 + 8.67815i) q^{33} +(-3.98159 + 1.91743i) q^{34} +(0.535779 - 0.603405i) q^{35} +(-4.17621 - 2.01115i) q^{36} +(3.50174 - 4.39104i) q^{37} +(-6.62986 - 3.19277i) q^{38} +(2.16025 - 9.46468i) q^{39} +(0.274792 - 0.132333i) q^{40} +(-1.74891 - 7.66248i) q^{41} +(6.74526 - 2.81925i) q^{42} +(-1.05285 + 4.61285i) q^{43} +(-0.716827 - 3.14062i) q^{44} +(-0.881446 - 1.10530i) q^{45} +(-0.137919 - 0.604261i) q^{46} +(6.67942 + 3.21664i) q^{47} +2.76319 q^{48} +(-2.26970 + 6.62182i) q^{49} -4.90698 q^{50} +(-11.0019 - 5.29824i) q^{51} +(0.781795 + 3.42527i) q^{52} +(0.591357 + 0.741538i) q^{53} +(-1.00546 - 4.40519i) q^{54} +(0.218629 - 0.957878i) q^{55} +(-1.75668 + 1.97840i) q^{56} +(-4.52456 - 19.8234i) q^{57} +(8.31769 - 4.00559i) q^{58} +(-1.27096 + 5.56845i) q^{59} +(0.759303 + 0.365661i) q^{60} +(-5.07995 + 6.37005i) q^{61} +(-0.196138 - 0.0944551i) q^{62} +(10.7524 + 5.89787i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.238444 + 1.04469i) q^{65} +(5.54989 - 6.95934i) q^{66} -10.6258 q^{67} +4.41923 q^{68} +(1.06781 - 1.33899i) q^{69} +(-0.744528 + 0.311183i) q^{70} +(4.03119 + 5.05495i) q^{71} +(2.89002 + 3.62398i) q^{72} +(-7.99496 + 3.85017i) q^{73} +(-5.06015 + 2.43684i) q^{74} +(-8.45385 - 10.6008i) q^{75} +(4.58801 + 5.75318i) q^{76} +(1.45448 + 8.39798i) q^{77} +(-6.05289 + 7.59008i) q^{78} +6.04550 q^{79} -0.304996 q^{80} +(-0.885528 + 1.11042i) q^{81} +(-1.74891 + 7.66248i) q^{82} +(3.28884 - 1.58382i) q^{83} +(-7.30049 - 0.386601i) q^{84} +(1.21437 + 0.584809i) q^{85} +(2.95003 - 3.69922i) q^{86} +(22.9834 + 11.0682i) q^{87} +(-0.716827 + 3.14062i) q^{88} +(12.1155 - 5.83449i) q^{89} +(0.314584 + 1.37828i) q^{90} +(-1.58631 - 9.15911i) q^{91} +(-0.137919 + 0.604261i) q^{92} +(-0.133855 - 0.586457i) q^{93} +(-4.62230 - 5.79618i) q^{94} +(0.499412 + 2.18807i) q^{95} +(-2.48955 - 1.19890i) q^{96} -1.31171 q^{97} +(4.91803 - 4.98126i) q^{98} +14.9319 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

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