LMFDB - Embedded newform 126.2.h.d.67.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [126,2,Mod(67,126)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(126, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([2, 4]))

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

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

chi := DirichletCharacter("126.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 126 = 2 \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	126.h (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.00611506547$
Analytic rank:	$0$
Dimension:	$6$
Relative dimension:	$3$ over $\Q(\zeta_{3})$
Coefficient field:	6.0.309123.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 $ x^6 - 3x^5 + 10x^4 - 15x^3 + 19x^2 - 12*x + 3
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			67.2
Root			$0.500000 - 2.05195i$ of defining polynomial
Character	$\chi$	$=$	126.67
Dual form			126.2.h.d.79.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(0.796790 - 1.53790i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.593579 q^{5} +(-0.933463 - 1.45899i) q^{6} +(-0.0665372 + 2.64491i) q^{7} -1.00000 q^{8} +(-1.73025 - 2.45076i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(0.796790 - 1.53790i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.593579 q^{5} +(-0.933463 - 1.45899i) q^{6} +(-0.0665372 + 2.64491i) q^{7} -1.00000 q^{8} +(-1.73025 - 2.45076i) q^{9} +(0.296790 - 0.514055i) q^{10} -0.593579 q^{11} +(-1.73025 + 0.0789082i) q^{12} +(-1.25729 + 2.17770i) q^{13} +(2.25729 + 1.38008i) q^{14} +(0.472958 - 0.912864i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.46050 - 2.52967i) q^{17} +(-2.98755 + 0.273062i) q^{18} +(2.69076 + 4.66053i) q^{19} +(-0.296790 - 0.514055i) q^{20} +(4.01459 + 2.20977i) q^{21} +(-0.296790 + 0.514055i) q^{22} +4.46050 q^{23} +(-0.796790 + 1.53790i) q^{24} -4.64766 q^{25} +(1.25729 + 2.17770i) q^{26} +(-5.14766 + 0.708209i) q^{27} +(2.32383 - 1.26483i) q^{28} +(-3.09718 - 5.36447i) q^{29} +(-0.554084 - 0.866025i) q^{30} +(3.93346 + 6.81296i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.472958 + 0.912864i) q^{33} +(-1.46050 - 2.52967i) q^{34} +(-0.0394951 + 1.56997i) q^{35} +(-1.25729 + 2.72382i) q^{36} +(0.500000 + 0.866025i) q^{37} +5.38151 q^{38} +(2.34728 + 3.66876i) q^{39} -0.593579 q^{40} +(-0.136673 + 0.236725i) q^{41} +(3.92101 - 2.37185i) q^{42} +(-5.58113 - 9.66679i) q^{43} +(0.296790 + 0.514055i) q^{44} +(-1.02704 - 1.45472i) q^{45} +(2.23025 - 3.86291i) q^{46} +(-6.08113 + 10.5328i) q^{47} +(0.933463 + 1.45899i) q^{48} +(-6.99115 - 0.351971i) q^{49} +(-2.32383 + 4.02499i) q^{50} +(-2.72665 - 4.26172i) q^{51} +2.51459 q^{52} +(4.02704 - 6.97504i) q^{53} +(-1.96050 + 4.81211i) q^{54} -0.352336 q^{55} +(0.0665372 - 2.64491i) q^{56} +(9.31138 - 0.424646i) q^{57} -6.19436 q^{58} +(-4.32383 - 7.48910i) q^{59} +(-1.02704 + 0.0468383i) q^{60} +(3.32383 - 5.75705i) q^{61} +7.86693 q^{62} +(6.59718 - 4.41330i) q^{63} +1.00000 q^{64} +(-0.746304 + 1.29264i) q^{65} +(0.554084 + 0.866025i) q^{66} +(0.956906 + 1.65741i) q^{67} -2.92101 q^{68} +(3.55408 - 6.85980i) q^{69} +(1.33988 + 0.819187i) q^{70} -14.4107 q^{71} +(1.73025 + 2.45076i) q^{72} +(3.95691 - 6.85356i) q^{73} +1.00000 q^{74} +(-3.70321 + 7.14763i) q^{75} +(2.69076 - 4.66053i) q^{76} +(0.0394951 - 1.56997i) q^{77} +(4.35087 - 0.198422i) q^{78} +(4.62422 - 8.00938i) q^{79} +(-0.296790 + 0.514055i) q^{80} +(-3.01245 + 8.48087i) q^{81} +(0.136673 + 0.236725i) q^{82} +(3.85087 + 6.66991i) q^{83} +(-0.0935793 - 4.58162i) q^{84} +(0.866926 - 1.50156i) q^{85} -11.1623 q^{86} +(-10.7178 + 0.488786i) q^{87} +0.593579 q^{88} +(-6.21780 - 10.7695i) q^{89} +(-1.77335 + 0.162084i) q^{90} +(-5.67617 - 3.47033i) q^{91} +(-2.23025 - 3.86291i) q^{92} +(13.6118 - 0.620765i) q^{93} +(6.08113 + 10.5328i) q^{94} +(1.59718 + 2.76639i) q^{95} +(1.73025 - 0.0789082i) q^{96} +(5.86693 + 10.1618i) q^{97} +(-3.80039 + 5.87852i) q^{98} +(1.02704 + 1.45472i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q + 3 q^{2} + 2 q^{3} - 3 q^{4} - 2 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} - 4 q^{9}+O(q^{10}) $ 6 * q + 3 * q^2 + 2 * q^3 - 3 * q^4 - 2 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 - 4 * q^9	\( 6 q + 3 q^{2} + 2 q^{3} - 3 q^{4} - 2 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} - 4 q^{9} - q^{10} + 2 q^{11} - 4 q^{12} + 8 q^{13} - 2 q^{14} + 12 q^{15} - 3 q^{16} - 4 q^{17} + 4 q^{18} - 3 q^{19} + q^{20} - 7 q^{21} + q^{22} + 14 q^{23} - 2 q^{24} - 4 q^{25} - 8 q^{26} - 7 q^{27} + 2 q^{28} - 5 q^{29} + 15 q^{30} + 20 q^{31} + 3 q^{32} - 12 q^{33} + 4 q^{34} - 13 q^{35} + 8 q^{36} + 3 q^{37} - 6 q^{38} + q^{39} + 2 q^{40} - 2 q^{42} - 6 q^{43} - q^{44} + 3 q^{45} + 7 q^{46} - 9 q^{47} + 2 q^{48} - 12 q^{49} - 2 q^{50} - 18 q^{51} - 16 q^{52} + 15 q^{53} + q^{54} - 26 q^{55} + 4 q^{56} + 22 q^{57} - 10 q^{58} - 14 q^{59} + 3 q^{60} + 8 q^{61} + 40 q^{62} + 26 q^{63} + 6 q^{64} - 12 q^{65} - 15 q^{66} + q^{67} + 8 q^{68} + 3 q^{69} + 10 q^{70} + 14 q^{71} + 4 q^{72} + 19 q^{73} + 6 q^{74} - 25 q^{75} - 3 q^{76} + 13 q^{77} + 5 q^{78} + 5 q^{79} + q^{80} - 40 q^{81} + 2 q^{83} + 5 q^{84} - 2 q^{85} - 12 q^{86} - 36 q^{87} - 2 q^{88} - 9 q^{89} - 9 q^{90} - 46 q^{91} - 7 q^{92} + 37 q^{93} + 9 q^{94} - 4 q^{95} + 4 q^{96} + 28 q^{97} - 12 q^{98} - 3 q^{99}+O(q^{100}) \) 6 * q + 3 * q^2 + 2 * q^3 - 3 * q^4 - 2 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 - 4 * q^9 - q^10 + 2 * q^11 - 4 * q^12 + 8 * q^13 - 2 * q^14 + 12 * q^15 - 3 * q^16 - 4 * q^17 + 4 * q^18 - 3 * q^19 + q^20 - 7 * q^21 + q^22 + 14 * q^23 - 2 * q^24 - 4 * q^25 - 8 * q^26 - 7 * q^27 + 2 * q^28 - 5 * q^29 + 15 * q^30 + 20 * q^31 + 3 * q^32 - 12 * q^33 + 4 * q^34 - 13 * q^35 + 8 * q^36 + 3 * q^37 - 6 * q^38 + q^39 + 2 * q^40 - 2 * q^42 - 6 * q^43 - q^44 + 3 * q^45 + 7 * q^46 - 9 * q^47 + 2 * q^48 - 12 * q^49 - 2 * q^50 - 18 * q^51 - 16 * q^52 + 15 * q^53 + q^54 - 26 * q^55 + 4 * q^56 + 22 * q^57 - 10 * q^58 - 14 * q^59 + 3 * q^60 + 8 * q^61 + 40 * q^62 + 26 * q^63 + 6 * q^64 - 12 * q^65 - 15 * q^66 + q^67 + 8 * q^68 + 3 * q^69 + 10 * q^70 + 14 * q^71 + 4 * q^72 + 19 * q^73 + 6 * q^74 - 25 * q^75 - 3 * q^76 + 13 * q^77 + 5 * q^78 + 5 * q^79 + q^80 - 40 * q^81 + 2 * q^83 + 5 * q^84 - 2 * q^85 - 12 * q^86 - 36 * q^87 - 2 * q^88 - 9 * q^89 - 9 * q^90 - 46 * q^91 - 7 * q^92 + 37 * q^93 + 9 * q^94 - 4 * q^95 + 4 * q^96 + 28 * q^97 - 12 * q^98 - 3 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/126\mathbb{Z}\right)^\times$.

$n$	$29$	$73$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$	0.796790	−	1.53790i	0.460027	−	0.887905i
$3$	0.796790	−	1.53790i	0.460027	−	0.887905i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	0.593579			0.265457			0.132728	−	0.991152i	$-0.457626\pi$
$5$	0.593579			0.265457			0.132728	+	0.991152i	$0.457626\pi$
$6$	−0.933463	−	1.45899i	−0.381085	−	0.595630i
$7$	−0.0665372	+	2.64491i	−0.0251487	+	0.999684i
$7$	−0.0665372	+	2.64491i	−0.0251487	+	0.999684i
$8$	−1.00000			−0.353553
$9$	−1.73025	−	2.45076i	−0.576751	−	0.816920i
$10$	0.296790	−	0.514055i	0.0938531	−	0.162558i
$11$	−0.593579			−0.178971			−0.0894855	−	0.995988i	$-0.528522\pi$
$11$	−0.593579			−0.178971			−0.0894855	+	0.995988i	$0.528522\pi$
$12$	−1.73025	+	0.0789082i	−0.499481	+	0.0227788i
$13$	−1.25729	+	2.17770i	−0.348711	+	0.603985i	−0.986021	−	0.166623i	$-0.946714\pi$
$13$	−1.25729	+	2.17770i	−0.348711	+	0.603985i	0.637310	+	0.770608i	$0.280047\pi$
$14$	2.25729	+	1.38008i	0.603287	+	0.368842i
$15$	0.472958	−	0.912864i	0.122117	−	0.235700i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	1.46050	−	2.52967i	0.354224	−	0.613535i	−0.632760	−	0.774348i	$-0.718078\pi$
$17$	1.46050	−	2.52967i	0.354224	−	0.613535i	0.986985	+	0.160813i	$0.0514116\pi$
$18$	−2.98755	+	0.273062i	−0.704172	+	0.0643614i
$19$	2.69076	+	4.66053i	0.617302	+	1.06920i	0.989976	+	0.141236i	$0.0451077\pi$
$19$	2.69076	+	4.66053i	0.617302	+	1.06920i	−0.372674	+	0.927962i	$0.621559\pi$
$20$	−0.296790	−	0.514055i	−0.0663642	−	0.114946i
$21$	4.01459	+	2.20977i	0.876055	+	0.482211i
$22$	−0.296790	+	0.514055i	−0.0632758	+	0.109597i
$23$	4.46050			0.930080			0.465040	−	0.885290i	$-0.346040\pi$
$23$	4.46050			0.930080			0.465040	+	0.885290i	$0.346040\pi$
$24$	−0.796790	+	1.53790i	−0.162644	+	0.313922i
$25$	−4.64766			−0.929533
$26$	1.25729	+	2.17770i	0.246576	+	0.427082i
$27$	−5.14766	+	0.708209i	−0.990668	+	0.136295i
$28$	2.32383	−	1.26483i	0.439163	−	0.239031i
$29$	−3.09718	−	5.36447i	−0.575132	−	0.996157i	−0.996027	−	0.0890480i	$-0.971618\pi$
$29$	−3.09718	−	5.36447i	−0.575132	−	0.996157i	0.420896	−	0.907109i	$-0.361716\pi$
$30$	−0.554084	−	0.866025i	−0.101161	−	0.158114i
$31$	3.93346	+	6.81296i	0.706471	+	1.22364i	0.966158	+	0.257951i	$0.0830472\pi$
$31$	3.93346	+	6.81296i	0.706471	+	1.22364i	−0.259687	+	0.965693i	$0.583620\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	−0.472958	+	0.912864i	−0.0823314	+	0.158909i
$34$	−1.46050	−	2.52967i	−0.250475	−	0.433835i
$35$	−0.0394951	+	1.56997i	−0.00667590	+	0.265373i
$36$	−1.25729	+	2.72382i	−0.209549	+	0.453970i
$37$	0.500000	+	0.866025i	0.0821995	+	0.142374i	0.904194	−	0.427121i	$-0.140472\pi$
$37$	0.500000	+	0.866025i	0.0821995	+	0.142374i	−0.821995	+	0.569495i	$0.807139\pi$
$38$	5.38151			0.872997
$39$	2.34728	+	3.66876i	0.375865	+	0.587471i
$40$	−0.593579			−0.0938531
$41$	−0.136673	+	0.236725i	−0.0213448	+	0.0369702i	−0.876500	−	0.481401i	$-0.840128\pi$
$41$	−0.136673	+	0.236725i	−0.0213448	+	0.0369702i	0.855156	+	0.518371i	$0.173461\pi$
$42$	3.92101	−	2.37185i	0.605025	−	0.365985i
$43$	−5.58113	−	9.66679i	−0.851114	−	1.47417i	−0.880204	−	0.474596i	$-0.842594\pi$
$43$	−5.58113	−	9.66679i	−0.851114	−	1.47417i	0.0290902	−	0.999577i	$-0.490739\pi$
$44$	0.296790	+	0.514055i	0.0447427	+	0.0774967i
$45$	−1.02704	−	1.45472i	−0.153102	−	0.216857i
$46$	2.23025	−	3.86291i	0.328833	−	0.569555i
$47$	−6.08113	+	10.5328i	−0.887023	+	1.53637i	−0.0436467	+	0.999047i	$0.513898\pi$
$47$	−6.08113	+	10.5328i	−0.887023	+	1.53637i	−0.843377	+	0.537323i	$0.819436\pi$
$48$	0.933463	+	1.45899i	0.134734	+	0.210587i
$49$	−6.99115	−	0.351971i	−0.998735	−	0.0502815i
$50$	−2.32383	+	4.02499i	−0.328639	+	0.569220i
$51$	−2.72665	−	4.26172i	−0.381808	−	0.596760i
$52$	2.51459			0.348711
$53$	4.02704	−	6.97504i	0.553157	−	0.958096i	−0.444888	−	0.895586i	$-0.646756\pi$
$53$	4.02704	−	6.97504i	0.553157	−	0.958096i	0.998044	−	0.0625092i	$-0.0199103\pi$
$54$	−1.96050	+	4.81211i	−0.266791	+	0.654845i
$55$	−0.352336			−0.0475090
$56$	0.0665372	−	2.64491i	0.00889141	−	0.353442i
$57$	9.31138	−	0.424646i	1.23332	−	0.0562457i
$58$	−6.19436			−0.813359
$59$	−4.32383	−	7.48910i	−0.562915	−	0.974997i	−0.997240	−	0.0742412i	$-0.976347\pi$
$59$	−4.32383	−	7.48910i	−0.562915	−	0.974997i	0.434325	−	0.900756i	$-0.356987\pi$
$60$	−1.02704	+	0.0468383i	−0.132591	+	0.00604680i
$61$	3.32383	−	5.75705i	0.425573	−	0.737114i	−0.570901	−	0.821019i	$-0.693406\pi$
$61$	3.32383	−	5.75705i	0.425573	−	0.737114i	0.996474	+	0.0839050i	$0.0267392\pi$
$62$	7.86693			0.999101
$63$	6.59718	−	4.41330i	0.831166	−	0.556024i
$64$	1.00000			0.125000
$65$	−0.746304	+	1.29264i	−0.0925676	+	0.160332i
$66$	0.554084	+	0.866025i	0.0682031	+	0.106600i
$67$	0.956906	+	1.65741i	0.116905	+	0.202485i	0.918540	−	0.395329i	$-0.129369\pi$
$67$	0.956906	+	1.65741i	0.116905	+	0.202485i	−0.801635	+	0.597814i	$0.796036\pi$
$68$	−2.92101			−0.354224
$69$	3.55408	−	6.85980i	0.427861	−	0.825822i
$70$	1.33988	+	0.819187i	0.160147	+	0.0979116i
$71$	−14.4107			−1.71023			−0.855117	−	0.518435i	$-0.826515\pi$
$71$	−14.4107			−1.71023			−0.855117	+	0.518435i	$0.826515\pi$
$72$	1.73025	+	2.45076i	0.203912	+	0.288825i
$73$	3.95691	−	6.85356i	0.463121	−	0.802149i	−0.535994	−	0.844222i	$-0.680063\pi$
$73$	3.95691	−	6.85356i	0.463121	−	0.802149i	0.999115	+	0.0420732i	$0.0133963\pi$
$74$	1.00000			0.116248
$75$	−3.70321	+	7.14763i	−0.427610	+	0.825337i
$76$	2.69076	−	4.66053i	0.308651	−	0.534599i
$77$	0.0394951	−	1.56997i	0.00450089	−	0.178914i
$78$	4.35087	−	0.198422i	0.492639	−	0.0224668i
$79$	4.62422	−	8.00938i	0.520265	−	0.901126i	−0.479457	−	0.877565i	$-0.659166\pi$
$79$	4.62422	−	8.00938i	0.520265	−	0.901126i	0.999722	−	0.0235607i	$-0.00750031\pi$
$80$	−0.296790	+	0.514055i	−0.0331821	+	0.0574731i
$81$	−3.01245	+	8.48087i	−0.334717	+	0.942319i
$82$	0.136673	+	0.236725i	0.0150930	+	0.0261419i
$83$	3.85087	+	6.66991i	0.422688	+	0.732118i	0.996201	−	0.0870787i	$-0.0277532\pi$
$83$	3.85087	+	6.66991i	0.422688	+	0.732118i	−0.573513	+	0.819196i	$0.694420\pi$
$84$	−0.0935793	−	4.58162i	−0.0102103	−	0.499896i
$85$	0.866926	−	1.50156i	0.0940313	−	0.162867i
$86$	−11.1623			−1.20366
$87$	−10.7178	+	0.488786i	−1.14907	+	0.0524033i
$88$	0.593579			0.0632758
$89$	−6.21780	−	10.7695i	−0.659085	−	1.14157i	−0.980853	−	0.194751i	$-0.937610\pi$
$89$	−6.21780	−	10.7695i	−0.659085	−	1.14157i	0.321767	−	0.946819i	$-0.395723\pi$
$90$	−1.77335	+	0.162084i	−0.186927	+	0.0170852i
$91$	−5.67617	−	3.47033i	−0.595024	−	0.363790i
$92$	−2.23025	−	3.86291i	−0.232520	−	0.402736i
$93$	13.6118	−	0.620765i	1.41147	−	0.0643704i
$94$	6.08113	+	10.5328i	0.627220	+	1.08638i
$95$	1.59718	+	2.76639i	0.163867	+	0.283826i
$96$	1.73025	−	0.0789082i	0.176593	−	0.00805354i
$97$	5.86693	+	10.1618i	0.595696	+	1.03178i	0.993448	+	0.114283i	$0.0364570\pi$
$97$	5.86693	+	10.1618i	0.595696	+	1.03178i	−0.397752	+	0.917493i	$0.630210\pi$
$98$	−3.80039	+	5.87852i	−0.383897	+	0.593821i
$99$	1.02704	+	1.45472i	0.103222	+	0.146205i
$100$	2.32383	+	4.02499i	0.232383	+	0.402499i
$101$	−1.62276			−0.161470			−0.0807352	−	0.996736i	$-0.525727\pi$
$101$	−1.62276			−0.161470			−0.0807352	+	0.996736i	$0.525727\pi$
$102$	−5.05408	+	0.230492i	−0.500429	+	0.0228221i
$103$	6.38151			0.628789			0.314395	−	0.949292i	$-0.398198\pi$
$103$	6.38151			0.628789			0.314395	+	0.949292i	$0.398198\pi$
$104$	1.25729	−	2.17770i	0.123288	−	0.213541i
$105$	2.38298	+	1.31167i	0.232555	+	0.128006i
$106$	−4.02704	−	6.97504i	−0.391141	−	0.677476i
$107$	9.35447	+	16.2024i	0.904331	+	1.56635i	0.821813	+	0.569758i	$0.192963\pi$
$107$	9.35447	+	16.2024i	0.904331	+	1.56635i	0.0825182	+	0.996590i	$0.473704\pi$
$108$	3.18716	+	4.10390i	0.306684	+	0.394898i
$109$	−1.43346	+	2.48283i	−0.137301	+	0.237812i	−0.926474	−	0.376359i	$-0.877176\pi$
$109$	−1.43346	+	2.48283i	−0.137301	+	0.237812i	0.789173	+	0.614171i	$0.210509\pi$
$110$	−0.176168	+	0.305132i	−0.0167970	+	0.0290932i
$111$	1.73025	−	0.0789082i	0.164228	−	0.00748964i
$112$	−2.25729	−	1.38008i	−0.213294	−	0.130405i
$113$	−6.16012	+	10.6696i	−0.579495	+	1.00371i	0.416042	+	0.909345i	$0.363417\pi$
$113$	−6.16012	+	10.6696i	−0.579495	+	1.00371i	−0.995537	+	0.0943695i	$0.969916\pi$
$114$	4.28794	−	8.27621i	0.401602	−	0.775138i
$115$	2.64766			0.246896
$116$	−3.09718	+	5.36447i	−0.287566	+	0.498078i
$117$	7.51245	−	0.686640i	0.694527	−	0.0634799i
$118$	−8.64766			−0.796082
$119$	6.59358	+	4.03123i	0.604432	+	0.369542i
$120$	−0.472958	+	0.912864i	−0.0431750	+	0.0833327i
$121$	−10.6477			−0.967969
$122$	−3.32383	−	5.75705i	−0.300926	−	0.521218i
$123$	0.255158	+	0.398809i	0.0230069	+	0.0359594i
$124$	3.93346	−	6.81296i	0.353235	−	0.611822i
$125$	−5.72665			−0.512207
$126$	−0.523443	−	7.91998i	−0.0466321	−	0.705567i
$127$	12.3346			1.09452			0.547261	−	0.836962i	$-0.315671\pi$
$127$	12.3346			1.09452			0.547261	+	0.836962i	$0.315671\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	−19.3135	+	0.880794i	−1.70046	+	0.0775496i
$130$	0.746304	+	1.29264i	0.0654552	+	0.113372i
$131$	−1.18716			−0.103723			−0.0518613	−	0.998654i	$-0.516515\pi$
$131$	−1.18716			−0.103723			−0.0518613	+	0.998654i	$0.516515\pi$
$132$	1.02704	−	0.0468383i	0.0893925	−	0.00407675i
$133$	−12.5057	+	6.80672i	−1.08438	+	0.590218i
$134$	1.91381			0.165328
$135$	−3.05555	+	0.420378i	−0.262980	+	0.0361804i
$136$	−1.46050	+	2.52967i	−0.125237	+	0.216917i
$137$	2.52179			0.215451			0.107725	−	0.994181i	$-0.465643\pi$
$137$	2.52179			0.215451			0.107725	+	0.994181i	$0.465643\pi$
$138$	−4.16372	−	6.50783i	−0.354439	−	0.553983i
$139$	2.45691	−	4.25549i	0.208392	−	0.360946i	−0.742816	−	0.669496i	$-0.766510\pi$
$139$	2.45691	−	4.25549i	0.208392	−	0.360946i	0.951208	+	0.308550i	$0.0998437\pi$
$140$	1.37938	−	0.750780i	0.116579	−	0.0634525i
$141$	11.3530	+	17.7446i	0.956096	+	1.49436i
$142$	−7.20535	+	12.4800i	−0.604659	+	1.04730i
$143$	0.746304	−	1.29264i	0.0624091	−	0.108096i
$144$	2.98755	−	0.273062i	0.248962	−	0.0227552i
$145$	−1.83842	−	3.18424i	−0.152673	−	0.264437i
$146$	−3.95691	−	6.85356i	−0.327476	−	0.567205i
$147$	−6.11177	+	10.4712i	−0.504090	+	0.863651i
$148$	0.500000	−	0.866025i	0.0410997	−	0.0711868i
$149$	18.0512			1.47881			0.739404	−	0.673262i	$-0.235107\pi$
$149$	18.0512			1.47881			0.739404	+	0.673262i	$0.235107\pi$
$150$	4.33842	+	6.78089i	0.354231	+	0.553657i
$151$	1.64766			0.134085			0.0670425	−	0.997750i	$-0.478644\pi$
$151$	1.64766			0.134085			0.0670425	+	0.997750i	$0.478644\pi$
$152$	−2.69076	−	4.66053i	−0.218249	−	0.378019i
$153$	−8.72665	+	0.797618i	−0.705508	+	0.0644836i
$154$	−1.33988	−	0.819187i	−0.107971	−	0.0660120i
$155$	2.33482	+	4.04403i	0.187537	+	0.324824i
$156$	2.00360	−	3.86718i	0.160416	−	0.309622i
$157$	3.30039	+	5.71644i	0.263400	+	0.456222i	0.967143	−	0.254233i	$-0.0818229\pi$
$157$	3.30039	+	5.71644i	0.263400	+	0.456222i	−0.703743	+	0.710454i	$0.748490\pi$
$158$	−4.62422	−	8.00938i	−0.367883	−	0.637192i
$159$	−7.51819	−	11.7508i	−0.596231	−	0.931900i
$160$	0.296790	+	0.514055i	0.0234633	+	0.0406396i
$161$	−0.296790	+	11.7977i	−0.0233903	+	0.929785i
$162$	5.83842	+	6.84929i	0.458710	+	0.538131i
$163$	−2.99115	−	5.18082i	−0.234285	−	0.405793i	0.724780	−	0.688980i	$-0.241941\pi$
$163$	−2.99115	−	5.18082i	−0.234285	−	0.405793i	−0.959065	+	0.283188i	$0.908608\pi$
$164$	0.273346			0.0213448
$165$	−0.280738	+	0.541857i	−0.0218554	+	0.0421835i
$166$	7.70175			0.597772
$167$	3.73025	−	6.46099i	0.288656	−	0.499966i	−0.684833	−	0.728700i	$-0.740125\pi$
$167$	3.73025	−	6.46099i	0.288656	−	0.499966i	0.973489	+	0.228733i	$0.0734584\pi$
$168$	−4.01459	−	2.20977i	−0.309732	−	0.170487i
$169$	3.33842	+	5.78231i	0.256802	+	0.444793i
$170$	−0.866926	−	1.50156i	−0.0664902	−	0.115164i
$171$	6.76615	−	14.6583i	0.517420	−	1.12095i
$172$	−5.58113	+	9.66679i	−0.425557	+	0.737086i
$173$	12.8296	−	22.2215i	0.975414	−	1.68947i	0.296851	−	0.954924i	$-0.404063\pi$
$173$	12.8296	−	22.2215i	0.975414	−	1.68947i	0.678562	−	0.734543i	$-0.262603\pi$
$174$	−4.93560	+	9.52628i	−0.374167	+	0.722185i
$175$	0.309243	−	12.2927i	0.0233766	−	0.929239i
$176$	0.296790	−	0.514055i	0.0223714	−	0.0387483i
$177$	−14.9626	+	0.682372i	−1.12466	+	0.0512902i
$178$	−12.4356			−0.932088
$179$	7.51819	−	13.0219i	0.561936	−	0.973301i	−0.435392	−	0.900241i	$-0.643390\pi$
$179$	7.51819	−	13.0219i	0.561936	−	0.973301i	0.997328	−	0.0730602i	$-0.0232765\pi$
$180$	−0.746304	+	1.61680i	−0.0556262	+	0.120510i
$181$	−0.0861875			−0.00640627			−0.00320313	−	0.999995i	$-0.501020\pi$
$181$	−0.0861875			−0.00640627			−0.00320313	+	0.999995i	$0.501020\pi$
$182$	−5.84348	+	3.18054i	−0.433148	+	0.235757i
$183$	−6.20535	−	9.69886i	−0.458712	−	0.716961i
$184$	−4.46050			−0.328833
$185$	0.296790	+	0.514055i	0.0218204	+	0.0377941i
$186$	6.26829	−	12.0985i	0.459613	−	0.887106i
$187$	−0.866926	+	1.50156i	−0.0633959	+	0.109805i
$188$	12.1623			0.887023
$189$	−1.53064	−	13.6623i	−0.111338	−	0.993783i
$190$	3.19436			0.231743
$191$	−1.99115	+	3.44877i	−0.144074	+	0.249544i	−0.929027	−	0.370011i	$-0.879354\pi$
$191$	−1.99115	+	3.44877i	−0.144074	+	0.249544i	0.784953	+	0.619555i	$0.212687\pi$
$192$	0.796790	−	1.53790i	0.0575033	−	0.110988i
$193$	−3.39037	−	5.87229i	−0.244044	−	0.422697i	0.717818	−	0.696230i	$-0.245141\pi$
$193$	−3.39037	−	5.87229i	−0.244044	−	0.422697i	−0.961862	+	0.273534i	$0.911808\pi$
$194$	11.7339			0.842441
$195$	1.39329	+	2.17770i	0.0997759	+	0.155948i
$196$	3.19076	+	6.23049i	0.227911	+	0.445035i
$197$	11.0584			0.787875			0.393938	−	0.919137i	$-0.371113\pi$
$197$	11.0584			0.787875			0.393938	+	0.919137i	$0.371113\pi$
$198$	1.77335	−	0.162084i	0.126026	−	0.0115188i
$199$	2.80924	−	4.86575i	0.199142	−	0.344924i	−0.749109	−	0.662447i	$-0.769518\pi$
$199$	2.80924	−	4.86575i	0.199142	−	0.344924i	0.948250	+	0.317523i	$0.102851\pi$
$200$	4.64766			0.328639
$201$	3.31138	−	0.151016i	0.233567	−	0.0106518i
$202$	−0.811379	+	1.40535i	−0.0570884	+	0.0988800i
$203$	14.3946	−	7.83483i	1.01031	−	0.549898i
$204$	−2.32743	+	4.49221i	−0.162953	+	0.314518i
$205$	−0.0811263	+	0.140515i	−0.00566611	+	0.00981399i
$206$	3.19076	−	5.52655i	0.222311	−	0.385053i
$207$	−7.71780	−	10.9316i	−0.536424	−	0.759801i
$208$	−1.25729	−	2.17770i	−0.0871777	−	0.150996i
$209$	−1.59718	−	2.76639i	−0.110479	−	0.191355i
$210$	2.32743	−	1.40788i	0.160608	−	0.0971531i
$211$	9.66225	−	16.7355i	0.665177	−	1.15212i	−0.314060	−	0.949403i	$-0.601689\pi$
$211$	9.66225	−	16.7355i	0.665177	−	1.15212i	0.979237	−	0.202717i	$-0.0649772\pi$
$212$	−8.05408			−0.553157
$213$	−11.4823	+	22.1622i	−0.786754	+	1.51853i
$214$	18.7089			1.27892
$215$	−3.31284	−	5.73801i	−0.225934	−	0.391329i
$216$	5.14766	−	0.708209i	0.350254	−	0.0481875i
$217$	−18.2814	+	9.95036i	−1.24102	+	0.675474i
$218$	1.43346	+	2.48283i	0.0970863	+	0.168158i
$219$	−7.38725	−	11.5462i	−0.499184	−	0.780217i
$220$	0.176168	+	0.305132i	0.0118773	+	0.0205720i
$221$	3.67257	+	6.36108i	0.247044	+	0.427892i
$222$	0.796790	−	1.53790i	0.0534770	−	0.103217i
$223$	12.6623	+	21.9317i	0.847927	+	1.46865i	0.883055	+	0.469270i	$0.155483\pi$
$223$	12.6623	+	21.9317i	0.847927	+	1.46865i	−0.0351275	+	0.999383i	$0.511184\pi$
$224$	−2.32383	+	1.26483i	−0.155268	+	0.0845103i
$225$	8.04163	+	11.3903i	0.536109	+	0.759354i
$226$	6.16012	+	10.6696i	0.409765	+	0.709734i
$227$	4.81711			0.319723			0.159862	−	0.987139i	$-0.448895\pi$
$227$	4.81711			0.319723			0.159862	+	0.987139i	$0.448895\pi$
$228$	−5.02344	−	7.85157i	−0.332686	−	0.519983i
$229$	−9.29533			−0.614253			−0.307126	−	0.951669i	$-0.599367\pi$
$229$	−9.29533			−0.614253			−0.307126	+	0.951669i	$0.599367\pi$
$230$	1.32383	−	2.29294i	0.0872909	−	0.151192i
$231$	−2.38298	−	1.31167i	−0.156788	−	0.0863017i
$232$	3.09718	+	5.36447i	0.203340	+	0.352195i
$233$	0.0971780	+	0.168317i	0.00636634	+	0.0110268i	0.869191	−	0.494476i	$-0.164640\pi$
$233$	0.0971780	+	0.168317i	0.00636634	+	0.0110268i	−0.862825	+	0.505503i	$0.831307\pi$
$234$	3.16158	−	6.84929i	0.206679	−	0.447752i
$235$	−3.60963	+	6.25206i	−0.235466	+	0.407840i
$236$	−4.32383	+	7.48910i	−0.281457	+	0.487499i
$237$	−8.63307	−	13.4934i	−0.560778	−	0.876488i
$238$	6.78794	−	3.69459i	0.439996	−	0.239485i
$239$	−6.82743	+	11.8255i	−0.441630	+	0.764925i	−0.997811	−	0.0661361i	$-0.978933\pi$
$239$	−6.82743	+	11.8255i	−0.441630	+	0.764925i	0.556181	+	0.831061i	$0.312266\pi$
$240$	0.554084	+	0.866025i	0.0357660	+	0.0559017i
$241$	−13.0000			−0.837404			−0.418702	−	0.908124i	$-0.637515\pi$
$241$	−13.0000			−0.837404			−0.418702	+	0.908124i	$0.637515\pi$
$242$	−5.32383	+	9.22115i	−0.342229	+	0.592758i
$243$	10.6424	+	11.3903i	0.682711	+	0.730689i
$244$	−6.64766			−0.425573
$245$	−4.14980	−	0.208922i	−0.265121	−	0.0133476i
$246$	0.472958	−	0.0215693i	0.0301547	−	0.00137521i
$247$	−13.5323			−0.861039
$248$	−3.93346	−	6.81296i	−0.249775	−	0.432623i
$249$	13.3260	−	0.607731i	0.844499	−	0.0385134i
$250$	−2.86333	+	4.95943i	−0.181093	+	0.313662i
$251$	−19.5438			−1.23359			−0.616796	−	0.787123i	$-0.711570\pi$
$251$	−19.5438			−1.23359			−0.616796	+	0.787123i	$0.711570\pi$
$252$	−7.12062	−	3.50667i	−0.448557	−	0.220900i
$253$	−2.64766			−0.166457
$254$	6.16731	−	10.6821i	0.386972	−	0.670255i
$255$	−1.61849	−	2.52967i	−0.101353	−	0.158414i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	8.32743			0.519451			0.259725	−	0.965683i	$-0.416368\pi$
$257$	8.32743			0.519451			0.259725	+	0.965683i	$0.416368\pi$
$258$	−8.89397	+	17.1664i	−0.553714	+	1.06873i
$259$	−2.32383	+	1.26483i	−0.144396	+	0.0785930i
$260$	1.49261			0.0925676
$261$	−7.78813	+	16.8723i	−0.482073	+	1.04437i
$262$	−0.593579	+	1.02811i	−0.0366715	+	0.0635168i
$263$	−17.0905			−1.05384			−0.526921	−	0.849914i	$-0.676654\pi$
$263$	−17.0905			−1.05384			−0.526921	+	0.849914i	$0.676654\pi$
$264$	0.472958	−	0.912864i	0.0291085	−	0.0561829i
$265$	2.39037	−	4.14024i	0.146839	−	0.254333i
$266$	−0.358071	+	14.2336i	−0.0219547	+	0.872721i
$267$	−21.5167	+	0.981271i	−1.31680	+	0.0600528i
$268$	0.956906	−	1.65741i	0.0584524	−	0.101242i
$269$	−5.00720	+	8.67272i	−0.305294	+	0.528785i	−0.977327	−	0.211737i	$-0.932088\pi$
$269$	−5.00720	+	8.67272i	−0.305294	+	0.528785i	0.672033	+	0.740522i	$0.265421\pi$
$270$	−1.16372	+	2.85637i	−0.0708215	+	0.173833i
$271$	5.10457	+	8.84137i	0.310081	+	0.537075i	0.978380	−	0.206818i	$-0.0663106\pi$
$271$	5.10457	+	8.84137i	0.310081	+	0.537075i	−0.668299	+	0.743893i	$0.732977\pi$
$272$	1.46050	+	2.52967i	0.0885561	+	0.153384i
$273$	−9.85973	+	5.96423i	−0.596738	+	0.360972i
$274$	1.26089	−	2.18393i	0.0761733	−	0.131936i
$275$	2.75876			0.166359
$276$	−7.71780	+	0.351971i	−0.464557	+	0.0211861i
$277$	19.3422			1.16216			0.581081	−	0.813846i	$-0.302630\pi$
$277$	19.3422			1.16216			0.581081	+	0.813846i	$0.302630\pi$
$278$	−2.45691	−	4.25549i	−0.147355	−	0.255227i
$279$	9.89104	−	21.4281i	0.592161	−	1.28287i
$280$	0.0394951	−	1.56997i	0.00236029	−	0.0938235i
$281$	−6.40136	−	11.0875i	−0.381873	−	0.661424i	0.609457	−	0.792819i	$-0.291388\pi$
$281$	−6.40136	−	11.0875i	−0.381873	−	0.661424i	−0.991330	+	0.131396i	$0.958054\pi$
$282$	21.0438	−	0.959702i	1.25314	−	0.0571494i
$283$	8.17617	+	14.1615i	0.486023	+	0.841816i	0.999871	−	0.0160650i	$-0.00511388\pi$
$283$	8.17617	+	14.1615i	0.486023	+	0.841816i	−0.513848	+	0.857881i	$0.671781\pi$
$284$	7.20535	+	12.4800i	0.427559	+	0.740553i
$285$	5.52704	−	0.252061i	0.327394	−	0.0149308i
$286$	−0.746304	−	1.29264i	−0.0441299	−	0.0764352i
$287$	−0.617023	−	0.377240i	−0.0364217	−	0.0222678i
$288$	1.25729	−	2.72382i	0.0740868	−	0.160503i
$289$	4.23385	+	7.33325i	0.249050	+	0.431367i
$290$	−3.67684			−0.215912
$291$	20.3025	−	0.925898i	1.19016	−	0.0542771i
$292$	−7.91381			−0.463121
$293$	−10.3889	+	17.9941i	−0.606926	+	1.05123i	0.384817	+	0.922993i	$0.374264\pi$
$293$	−10.3889	+	17.9941i	−0.606926	+	1.05123i	−0.991744	+	0.128235i	$0.959069\pi$
$294$	6.01245	+	10.5286i	0.350653	+	0.614038i
$295$	−2.56654	−	4.44537i	−0.149430	−	0.258820i
$296$	−0.500000	−	0.866025i	−0.0290619	−	0.0503367i
$297$	3.05555	−	0.420378i	0.177301	−	0.0243928i
$298$	9.02558	−	15.6328i	0.522838	−	0.905582i
$299$	−5.60817	+	9.71363i	−0.324329	+	0.561754i
$300$	8.04163	−	0.366739i	0.464284	−	0.0211737i
$301$	25.9392	−	14.1184i	1.49511	−	0.813771i
$302$	0.823832	−	1.42692i	0.0474062	−	0.0821099i
$303$	−1.29300	+	2.49563i	−0.0742807	+	0.143370i
$304$	−5.38151			−0.308651
$305$	1.97296	−	3.41726i	0.112971	−	0.195672i
$306$	−3.67257	+	7.95631i	−0.209947	+	0.454832i
$307$	−22.6768			−1.29424			−0.647118	−	0.762390i	$-0.724026\pi$
$307$	−22.6768			−1.29424			−0.647118	+	0.762390i	$0.724026\pi$
$308$	−1.37938	+	0.750780i	−0.0785974	+	0.0427796i
$309$	5.08472	−	9.81411i	0.289260	−	0.558305i
$310$	4.66964			0.265218
$311$	3.25729	+	5.64180i	0.184704	+	0.319917i	0.943477	−	0.331439i	$-0.107534\pi$
$311$	3.25729	+	5.64180i	0.184704	+	0.319917i	−0.758773	+	0.651356i	$0.774201\pi$
$312$	−2.34728	−	3.66876i	−0.132888	−	0.207702i
$313$	−0.133074	+	0.230492i	−0.00752181	+	0.0130282i	−0.869762	−	0.493472i	$-0.835728\pi$
$313$	−0.133074	+	0.230492i	−0.00752181	+	0.0130282i	0.862240	+	0.506500i	$0.169061\pi$
$314$	6.60078			0.372503
$315$	3.91595	−	2.61965i	0.220639	−	0.147600i
$316$	−9.24844			−0.520265
$317$	−7.86186	+	13.6171i	−0.441566	+	0.764815i	−0.997806	−	0.0662067i	$-0.978910\pi$
$317$	−7.86186	+	13.6171i	−0.441566	+	0.764815i	0.556240	+	0.831022i	$0.312244\pi$
$318$	−13.9356	+	0.635534i	−0.781470	+	0.0356390i
$319$	1.83842	+	3.18424i	0.102932	+	0.178283i
$320$	0.593579			0.0331821
$321$	32.3712	−	1.47629i	1.80678	−	0.0823985i
$322$	10.0687	+	6.15585i	0.561105	+	0.343052i
$323$	15.7195			0.874654
$324$	8.85087	−	1.63157i	0.491715	−	0.0906430i
$325$	5.84348	−	10.1212i	0.324138	−	0.561424i
$326$	−5.98229			−0.331328
$327$	2.67617	+	4.18281i	0.147992	+	0.231310i
$328$	0.136673	−	0.236725i	0.00754651	−	0.0130709i
$329$	−27.4538	−	16.7849i	−1.51358	−	0.925381i
$330$	0.328893	+	0.514055i	0.0181050	+	0.0282978i
$331$	12.5811	−	21.7912i	0.691521	−	1.19775i	−0.279818	−	0.960053i	$-0.590274\pi$
$331$	12.5811	−	21.7912i	0.691521	−	1.19775i	0.971339	−	0.237697i	$-0.0763925\pi$
$332$	3.85087	−	6.66991i	0.211344	−	0.366059i
$333$	1.25729	−	2.72382i	0.0688993	−	0.149265i
$334$	−3.73025	−	6.46099i	−0.204110	−	0.353529i
$335$	0.568000	+	0.983804i	0.0310331	+	0.0537510i
$336$	−3.92101	+	2.37185i	−0.213909	+	0.129395i
$337$	−9.36693	+	16.2240i	−0.510249	+	0.883777i	0.489681	+	0.871902i	$0.337113\pi$
$337$	−9.36693	+	16.2240i	−0.510249	+	0.883777i	−0.999929	+	0.0118752i	$0.996220\pi$
$338$	6.67684			0.363172
$339$	11.5005	+	17.9751i	0.624620	+	0.976272i
$340$	−1.73385			−0.0940313
$341$	−2.33482	−	4.04403i	−0.126438	−	0.218997i
$342$	−9.31138	−	13.1888i	−0.503502	−	0.713169i
$343$	1.39610	−	18.4676i	0.0753825	−	0.997155i
$344$	5.58113	+	9.66679i	0.300914	+	0.521199i
$345$	2.10963	−	4.07183i	0.113579	−	0.219220i
$346$	−12.8296	−	22.2215i	−0.689722	−	1.19463i
$347$	−11.2719	−	19.5235i	−0.605106	−	1.04808i	−0.992035	−	0.125965i	$-0.959797\pi$
$347$	−11.2719	−	19.5235i	−0.605106	−	1.04808i	0.386928	−	0.922110i	$-0.373536\pi$
$348$	5.78220	+	9.03749i	0.309958	+	0.484461i
$349$	1.89543	+	3.28298i	0.101460	+	0.175734i	0.912286	−	0.409553i	$-0.134315\pi$
$349$	1.89543	+	3.28298i	0.101460	+	0.175734i	−0.810826	+	0.585287i	$0.800982\pi$
$350$	−10.4911	−	6.41415i	−0.560775	−	0.342851i
$351$	4.92986	−	12.1005i	0.263137	−	0.645876i
$352$	−0.296790	−	0.514055i	−0.0158189	−	0.0273992i
$353$	6.83482			0.363781			0.181890	−	0.983319i	$-0.441778\pi$
$353$	6.83482			0.363781			0.181890	+	0.983319i	$0.441778\pi$
$354$	−6.89037	+	13.2992i	−0.366219	+	0.706845i
$355$	−8.55389			−0.453993
$356$	−6.21780	+	10.7695i	−0.329543	+	0.570785i
$357$	11.4533	−	6.92820i	0.606173	−	0.366679i
$358$	−7.51819	−	13.0219i	−0.397349	−	0.688228i
$359$	−6.32237	−	10.9507i	−0.333682	−	0.577954i	0.649549	−	0.760320i	$-0.274958\pi$
$359$	−6.32237	−	10.9507i	−0.333682	−	0.577954i	−0.983231	+	0.182366i	$0.941624\pi$
$360$	1.02704	+	1.45472i	0.0541299	+	0.0766705i
$361$	−4.98035	+	8.62622i	−0.262124	+	0.454012i
$362$	−0.0430937	+	0.0746406i	−0.00226496	+	0.00392302i
$363$	−8.48395	+	16.3750i	−0.445292	+	0.859465i
$364$	−0.167314	+	6.65087i	−0.00876963	+	0.348600i
$365$	2.34874	−	4.06813i	0.122939	−	0.212936i
$366$	−11.5021	+	0.524555i	−0.601226	+	0.0274190i
$367$	6.54377			0.341582			0.170791	−	0.985307i	$-0.445368\pi$
$367$	6.54377			0.341582			0.170791	+	0.985307i	$0.445368\pi$
$368$	−2.23025	+	3.86291i	−0.116260	+	0.201368i
$369$	0.816635	−	0.0746406i	0.0425123	−	0.00388563i
$370$	0.593579			0.0308587
$371$	18.1804	+	11.1153i	0.943881	+	0.577077i
$372$	−7.34348	−	11.4778i	−0.380742	−	0.595094i
$373$	9.42840			0.488184			0.244092	−	0.969752i	$-0.421510\pi$
$373$	9.42840			0.488184			0.244092	+	0.969752i	$0.421510\pi$
$374$	0.866926	+	1.50156i	0.0448277	+	0.0776438i
$375$	−4.56294	+	8.80700i	−0.235629	+	0.454792i
$376$	6.08113	−	10.5328i	0.313610	−	0.543189i
$377$	15.5763			0.802218
$378$	−12.5972	−	5.50555i	−0.647929	−	0.283175i
$379$	−7.27762			−0.373826			−0.186913	−	0.982376i	$-0.559848\pi$
$379$	−7.27762			−0.373826			−0.186913	+	0.982376i	$0.559848\pi$
$380$	1.59718	−	2.76639i	0.0819335	−	0.141913i
$381$	9.82810	−	18.9694i	0.503509	−	0.971831i
$382$	1.99115	+	3.44877i	0.101876	+	0.176454i
$383$	−24.0833			−1.23060			−0.615299	−	0.788294i	$-0.710965\pi$
$383$	−24.0833			−1.23060			−0.615299	+	0.788294i	$0.710965\pi$
$384$	−0.933463	−	1.45899i	−0.0476356	−	0.0744537i
$385$	0.0234435	−	0.931900i	0.00119479	−	0.0474940i
$386$	−6.78074			−0.345130
$387$	−14.0342	+	30.4040i	−0.713400	+	1.54552i
$388$	5.86693	−	10.1618i	0.297848	−	0.515888i
$389$	−16.2983			−0.826354			−0.413177	−	0.910651i	$-0.635581\pi$
$389$	−16.2983			−0.826354			−0.413177	+	0.910651i	$0.635581\pi$
$390$	2.58259	−	0.117779i	0.130774	−	0.00596398i
$391$	6.51459	−	11.2836i	0.329457	−	0.570636i
$392$	6.99115	+	0.351971i	0.353106	+	0.0177772i
$393$	−0.945916	+	1.82573i	−0.0477151	+	0.0920958i
$394$	5.52918	−	9.57682i	0.278556	−	0.482473i
$395$	2.74484	−	4.75420i	0.138108	−	0.239210i
$396$	0.746304	−	1.61680i	0.0375032	−	0.0812475i
$397$	−6.08619	−	10.5416i	−0.305457	−	0.529067i	0.671906	−	0.740636i	$-0.265476\pi$
$397$	−6.08619	−	10.5416i	−0.305457	−	0.529067i	−0.977363	+	0.211569i	$0.932143\pi$
$398$	−2.80924	−	4.86575i	−0.140815	−	0.243898i
$399$	0.503599	+	24.6561i	0.0252115	+	1.23435i
$400$	2.32383	−	4.02499i	0.116192	−	0.201250i
$401$	−33.3609			−1.66596			−0.832981	−	0.553301i	$-0.813368\pi$
$401$	−33.3609			−1.66596			−0.832981	+	0.553301i	$0.813368\pi$
$402$	1.52491	−	2.94325i	0.0760554	−	0.146796i
$403$	−19.7821			−0.985416
$404$	0.811379	+	1.40535i	0.0403676	+	0.0699187i
$405$	−1.78813	+	5.03407i	−0.0888529	+	0.250145i
$406$	0.412155	−	16.3835i	0.0204549	−	0.813102i
$407$	−0.296790	−	0.514055i	−0.0147113	−	0.0254808i
$408$	2.72665	+	4.26172i	0.134989	+	0.210987i
$409$	2.89037	+	5.00627i	0.142920	+	0.247544i	0.928595	−	0.371095i	$-0.121018\pi$
$409$	2.89037	+	5.00627i	0.142920	+	0.247544i	−0.785675	+	0.618639i	$0.787684\pi$
$410$	0.0811263	+	0.140515i	0.00400654	+	0.00693954i
$411$	2.00933	−	3.87825i	0.0991131	−	0.191300i
$412$	−3.19076	−	5.52655i	−0.157197	−	0.272274i
$413$	20.0957	−	10.9379i	0.988846	−	0.538217i
$414$	−13.3260	+	1.21800i	−0.654936	+	0.0598612i
$415$	2.28580	+	3.95912i	0.112205	+	0.194346i
$416$	−2.51459			−0.123288
$417$	−4.58686	−	7.16920i	−0.224620	−	0.351077i
$418$	−3.19436			−0.156241
$419$	15.4356	−	26.7352i	0.754078	−	1.30610i	−0.191753	−	0.981443i	$-0.561417\pi$
$419$	15.4356	−	26.7352i	0.754078	−	1.30610i	0.945831	−	0.324659i	$-0.105249\pi$
$420$	−0.0555468	−	2.71956i	−0.00271040	−	0.132701i
$421$	−1.86693	−	3.23361i	−0.0909884	−	0.157597i	0.816939	−	0.576724i	$-0.195669\pi$
$421$	−1.86693	−	3.23361i	−0.0909884	−	0.157597i	−0.907927	+	0.419128i	$0.862336\pi$
$422$	−9.66225	−	16.7355i	−0.470351	−	0.814672i
$423$	36.3353	−	3.32105i	1.76668	−	0.161475i
$424$	−4.02704	+	6.97504i	−0.195570	+	0.338738i
$425$	−6.78794	+	11.7570i	−0.329263	+	0.570301i
$426$	13.4518	+	21.0250i	0.651744	+	1.01867i
$427$	15.0057	+	9.17431i	0.726178	+	0.443976i
$428$	9.35447	−	16.2024i	0.452165	−	0.783174i
$429$	−1.39329	−	2.17770i	−0.0672689	−	0.105140i
$430$	−6.62568			−0.319519
$431$	−14.0979	+	24.4182i	−0.679070	+	1.17618i	0.296192	+	0.955128i	$0.404283\pi$
$431$	−14.0979	+	24.4182i	−0.679070	+	1.17618i	−0.975261	+	0.221055i	$0.929050\pi$
$432$	1.96050	−	4.81211i	0.0943248	−	0.231523i
$433$	12.5438			0.602815			0.301407	−	0.953495i	$-0.402544\pi$
$433$	12.5438			0.602815			0.301407	+	0.953495i	$0.402544\pi$
$434$	−0.523443	+	20.8073i	−0.0251261	+	0.998785i
$435$	−6.36186	+	0.290133i	−0.305028	+	0.0139108i
$436$	2.86693			0.137301
$437$	12.0021	+	20.7883i	0.574140	+	0.994440i
$438$	−13.6929	+	0.624465i	−0.654272	+	0.0298381i
$439$	−13.0203	+	22.5519i	−0.621426	+	1.07634i	0.367794	+	0.929907i	$0.380113\pi$
$439$	−13.0203	+	22.5519i	−0.621426	+	1.07634i	−0.989220	+	0.146434i	$0.953220\pi$
$440$	0.352336			0.0167970
$441$	11.2339	+	17.7426i	0.534945	+	0.844887i
$442$	7.34514			0.349373
$443$	11.7865	−	20.4148i	0.559992	−	0.969935i	−0.437504	−	0.899216i	$-0.644137\pi$
$443$	11.7865	−	20.4148i	0.559992	−	0.969935i	0.997496	−	0.0707186i	$-0.0225292\pi$
$444$	−0.933463	−	1.45899i	−0.0443002	−	0.0692405i
$445$	−3.69076	−	6.39258i	−0.174959	−	0.303037i
$446$	25.3245			1.19915
$447$	14.3830	−	27.7608i	0.680291	−	1.31304i
$448$	−0.0665372	+	2.64491i	−0.00314359	+	0.124960i
$449$	13.6870			0.645928			0.322964	−	0.946411i	$-0.395321\pi$
$449$	13.6870			0.645928			0.322964	+	0.946411i	$0.395321\pi$
$450$	13.8851	−	1.26910i	0.654551	−	0.0598260i
$451$	0.0811263	−	0.140515i	0.00382009	−	0.00661659i
$452$	12.3202			0.579495
$453$	1.31284	−	2.53394i	0.0616827	−	0.119055i
$454$	2.40856	−	4.17174i	0.113039	−	0.195790i
$455$	−3.36926	−	2.05992i	−0.157953	−	0.0965705i
$456$	−9.31138	+	0.424646i	−0.436045	+	0.0198859i
$457$	11.1762	−	19.3577i	0.522799	−	0.905515i	−0.476849	−	0.878985i	$-0.658221\pi$
$457$	11.1762	−	19.3577i	0.522799	−	0.905515i	0.999648	−	0.0265293i	$-0.00844554\pi$
$458$	−4.64766	+	8.04999i	−0.217171	+	0.376151i
$459$	−5.72665	+	14.0562i	−0.267297	+	0.656088i
$460$	−1.32383	−	2.29294i	−0.0617240	−	0.106909i
$461$	−3.98755	−	6.90663i	−0.185719	−	0.321674i	0.758100	−	0.652138i	$-0.226128\pi$
$461$	−3.98755	−	6.90663i	−0.185719	−	0.321674i	−0.943818	+	0.330464i	$0.892795\pi$
$462$	−2.32743	+	1.40788i	−0.108282	+	0.0655006i
$463$	−14.3676	+	24.8854i	−0.667719	+	1.15652i	0.310821	+	0.950468i	$0.399396\pi$
$463$	−14.3676	+	24.8854i	−0.667719	+	1.15652i	−0.978540	+	0.206055i	$0.933937\pi$
$464$	6.19436			0.287566
$465$	8.07966	−	0.368473i	0.374685	−	0.0170875i
$466$	0.194356			0.00900336
$467$	16.7829	+	29.0688i	0.776619	+	1.34514i	0.933880	+	0.357586i	$0.116400\pi$
$467$	16.7829	+	29.0688i	0.776619	+	1.34514i	−0.157261	+	0.987557i	$0.550267\pi$
$468$	−4.35087	−	6.16266i	−0.201119	−	0.284869i
$469$	−4.44738	+	2.42066i	−0.205361	+	0.111775i
$470$	3.60963	+	6.25206i	0.166500	+	0.288386i
$471$	11.4210	−	0.520856i	0.526252	−	0.0239998i
$472$	4.32383	+	7.48910i	0.199020	+	0.344714i
$473$	3.31284	+	5.73801i	0.152325	+	0.263834i
$474$	−16.0021	+	0.729778i	−0.735002	+	0.0335198i
$475$	−12.5057	−	21.6606i	−0.573802	−	0.993855i
$476$	0.194356	−	7.72582i	0.00890829	−	0.354112i
$477$	−24.0620	+	2.19927i	−1.10172	+	0.100698i
$478$	6.82743	+	11.8255i	0.312279	+	0.540884i
$479$	0.367120			0.0167741			0.00838707	−	0.999965i	$-0.497330\pi$
$479$	0.367120			0.0167741			0.00838707	+	0.999965i	$0.497330\pi$
$480$	1.02704	−	0.0468383i	0.0468778	−	0.00213787i
$481$	−2.51459			−0.114655
$482$	−6.50000	+	11.2583i	−0.296067	+	0.512803i
$483$	17.9071	+	9.85668i	0.814801	+	0.448495i
$484$	5.32383	+	9.22115i	0.241992	+	0.419143i
$485$	3.48249	+	6.03184i	0.158132	+	0.273892i
$486$	15.1855	−	3.52144i	0.688828	−	0.159736i
$487$	−14.9538	+	25.9007i	−0.677621	+	1.17367i	0.298075	+	0.954543i	$0.403656\pi$
$487$	−14.9538	+	25.9007i	−0.677621	+	1.17367i	−0.975695	+	0.219131i	$0.929678\pi$
$488$	−3.32383	+	5.75705i	−0.150463	+	0.260609i
$489$	−10.3509	+	0.472052i	−0.468083	+	0.0213469i
$490$	−2.25583	+	3.48937i	−0.101908	+	0.157634i
$491$	−0.255158	+	0.441947i	−0.0115151	+	0.0199448i	−0.871726	−	0.489994i	$-0.836999\pi$
$491$	−0.255158	+	0.441947i	−0.0115151	+	0.0199448i	0.860210	+	0.509939i	$0.170332\pi$
$492$	0.217799	−	0.420378i	0.00981916	−	0.0189521i
$493$	−18.0938			−0.814903
$494$	−6.76615	+	11.7193i	−0.304423	+	0.527277i
$495$	0.609631	+	0.863492i	0.0274009	+	0.0388111i
$496$	−7.86693			−0.353235
$497$	0.958848	−	38.1151i	0.0430102	−	1.70969i
$498$	6.13667	−	11.8445i	0.274991	−	0.530764i
$499$	−19.0191			−0.851410			−0.425705	−	0.904862i	$-0.639974\pi$
$499$	−19.0191			−0.851410			−0.425705	+	0.904862i	$0.639974\pi$
$500$	2.86333	+	4.95943i	0.128052	+	0.221792i
$501$	−6.96410	−	10.8848i	−0.311133	−	0.486297i
$502$	−9.77188	+	16.9254i	−0.436141	+	0.755418i
$503$	−37.7807			−1.68456			−0.842280	−	0.539040i	$-0.818787\pi$
$503$	−37.7807			−1.68456			−0.842280	+	0.539040i	$0.818787\pi$
$504$	−6.59718	+	4.41330i	−0.293862	+	0.196584i
$505$	−0.963235			−0.0428634
$506$	−1.32383	+	2.29294i	−0.0588515	+	0.101934i
$507$	11.5526	−	0.526858i	0.513070	−	0.0233986i
$508$	−6.16731	−	10.6821i	−0.273630	−	0.473942i
$509$	−11.2163			−0.497155			−0.248578	−	0.968612i	$-0.579963\pi$
$509$	−11.2163			−0.497155			−0.248578	+	0.968612i	$0.579963\pi$
$510$	−3.00000	+	0.136815i	−0.132842	+	0.00605828i
$511$	17.8638	+	10.9217i	0.790248	+	0.483147i
$512$	−1.00000			−0.0441942
$513$	−17.1517	−	22.0852i	−0.757268	−	0.975086i
$514$	4.16372	−	7.21177i	0.183654	−	0.318097i
$515$	3.78794			0.166916
$516$	10.4195	+	16.2856i	0.458695	+	0.716933i
$517$	3.60963	−	6.25206i	0.158751	−	0.274965i
$518$	−0.0665372	+	2.64491i	−0.00292348	+	0.116211i
$519$	−23.9518	−	37.4364i	−1.05137	−	1.64327i
$520$	0.746304	−	1.29264i	0.0327276	−	0.0566859i
$521$	−13.7360	+	23.7914i	−0.601785	+	1.04232i	0.390766	+	0.920490i	$0.372210\pi$
$521$	−13.7360	+	23.7914i	−0.601785	+	1.04232i	−0.992551	+	0.121831i	$0.961123\pi$
$522$	10.7178	+	15.1809i	0.469105	+	0.664449i
$523$	11.0919	+	19.2118i	0.485016	+	0.840072i	0.999852	−	0.0172166i	$-0.00548048\pi$
$523$	11.0919	+	19.2118i	0.485016	+	0.840072i	−0.514836	+	0.857289i	$0.672147\pi$
$524$	0.593579	+	1.02811i	0.0259306	+	0.0449132i
$525$	−18.6585	−	10.2703i	−0.814322	−	0.448231i
$526$	−8.54523	+	14.8008i	−0.372590	+	0.645344i
$527$	22.9794			1.00100
$528$	−0.554084	−	0.866025i	−0.0241134	−	0.0376889i
$529$	−3.10390			−0.134952
$530$	−2.39037	−	4.14024i	−0.103831	−	0.179841i
$531$	−10.8727	+	23.5547i	−0.471833	+	1.02219i
$532$	12.1477	+	7.42692i	0.526668	+	0.321998i
$533$	−0.343677	−	0.595265i	−0.0148863	−	0.0257838i
$534$	−9.90856	+	19.1247i	−0.428785	+	0.827605i
$535$	5.55262	+	9.61742i	0.240061	+	0.415797i
$536$	−0.956906	−	1.65741i	−0.0413321	−	0.0715892i
$537$	−14.0359	−	21.9379i	−0.605694	−	0.946690i
$538$	5.00720	+	8.67272i	0.215876	+	0.373908i
$539$	4.14980	+	0.208922i	0.178745	+	0.00899893i
$540$	1.89183	+	2.43599i	0.0814115	+	0.104828i
$541$	14.9246	+	25.8502i	0.641659	+	1.11139i	0.985062	+	0.172198i	$0.0550869\pi$
$541$	14.9246	+	25.8502i	0.641659	+	1.11139i	−0.343403	+	0.939188i	$0.611580\pi$
$542$	10.2091			0.438520
$543$	−0.0686733	+	0.132547i	−0.00294705	+	0.00568816i
$544$	2.92101			0.125237
$545$	−0.850874	+	1.47376i	−0.0364474	+	0.0631288i
$546$	0.235314	+	11.5209i	0.0100705	+	0.493049i
$547$	8.84348	+	15.3174i	0.378120	+	0.654923i	0.990789	−	0.135417i	$-0.0432373\pi$
$547$	8.84348	+	15.3174i	0.378120	+	0.654923i	−0.612669	+	0.790340i	$0.709904\pi$
$548$	−1.26089	−	2.18393i	−0.0538627	−	0.0932929i
$549$	−19.8602	+	1.81523i	−0.847613	+	0.0774720i
$550$	1.37938	−	2.38915i	0.0588169	−	0.101874i
$551$	16.6675	−	28.8690i	0.710060	−	1.22986i
$552$	−3.55408	+	6.85980i	−0.151272	+	0.291972i
$553$	20.8765	+	12.7636i	0.887757	+	0.542763i
$554$	9.67111	−	16.7508i	0.410886	−	0.711675i
$555$	1.02704	−	0.0468383i	0.0435955	−	0.00198818i
$556$	−4.91381			−0.208392
$557$	15.0651	−	26.0935i	0.638328	−	1.10562i	−0.347472	−	0.937690i	$-0.612960\pi$
$557$	15.0651	−	26.0935i	0.638328	−	1.10562i	0.985800	−	0.167926i	$-0.0537069\pi$
$558$	−13.6118	−	19.2799i	−0.576232	−	0.816185i
$559$	28.0685			1.18717
$560$	−1.33988	−	0.819187i	−0.0566204	−	0.0346170i
$561$	1.61849	+	2.52967i	0.0683325	+	0.106803i
$562$	−12.8027			−0.540050
$563$	−2.04883	−	3.54867i	−0.0863478	−	0.149559i	0.819617	−	0.572912i	$-0.194186\pi$
$563$	−2.04883	−	3.54867i	−0.0863478	−	0.149559i	−0.905965	+	0.423353i	$0.860853\pi$
$564$	9.69076	−	18.7043i	0.408054	−	0.787593i
$565$	−3.65652	+	6.33327i	−0.153831	+	0.266443i
$566$	16.3523			0.687340
$567$	−22.2307	−	8.53197i	−0.933603	−	0.358309i
$568$	14.4107			0.604659
$569$	−3.11849	+	5.40138i	−0.130734	+	0.226437i	−0.923960	−	0.382490i	$-0.875067\pi$
$569$	−3.11849	+	5.40138i	−0.130734	+	0.226437i	0.793226	+	0.608927i	$0.208400\pi$
$570$	2.54523	−	4.91259i	0.106608	−	0.205766i
$571$	−17.8011	−	30.8323i	−0.744951	−	1.29029i	−0.950218	−	0.311587i	$-0.899139\pi$
$571$	−17.8011	−	30.8323i	−0.744951	−	1.29029i	0.205266	−	0.978706i	$-0.434194\pi$
$572$	−1.49261			−0.0624091
$573$	3.71732	+	5.81012i	0.155293	+	0.242721i
$574$	−0.635211	+	0.345738i	−0.0265132	+	0.0144308i
$575$	−20.7309			−0.864539
$576$	−1.73025	−	2.45076i	−0.0720939	−	0.102115i
$577$	23.1388	−	40.0776i	0.963281	−	1.66845i	0.249118	−	0.968473i	$-0.419859\pi$
$577$	23.1388	−	40.0776i	0.963281	−	1.66845i	0.714164	−	0.699979i	$-0.246807\pi$
$578$	8.46770			0.352210
$579$	−11.7324	+	0.535056i	−0.487581	+	0.0222362i
$580$	−1.83842	+	3.18424i	−0.0763363	+	0.132218i
$581$	−17.8976	+	9.74143i	−0.742516	+	0.404143i
$582$	9.34941	−	18.0455i	0.387546	−	0.748008i
$583$	−2.39037	+	4.14024i	−0.0989990	+	0.171471i
$584$	−3.95691	+	6.85356i	−0.163738	+	0.283602i
$585$	4.45924	−	0.407575i	0.184367	−	0.0168512i
$586$	10.3889	+	17.9941i	0.429162	+	0.743330i
$587$	1.13161	+	1.96001i	0.0467066	+	0.0808982i	0.888434	−	0.459005i	$-0.151794\pi$
$587$	1.13161	+	1.96001i	0.0467066	+	0.0808982i	−0.841727	+	0.539903i	$0.818461\pi$
$588$	12.1242	+	0.0573390i	0.499994	+	0.00236462i
$589$	−21.1680	+	36.6640i	−0.872212	+	1.51072i
$590$	−5.13307			−0.211325
$591$	8.81118	−	17.0066i	0.362444	−	0.699558i
$592$	−1.00000			−0.0410997
$593$	23.0979	+	40.0067i	0.948515	+	1.64288i	0.748555	+	0.663072i	$0.230748\pi$
$593$	23.0979	+	40.0067i	0.948515	+	1.64288i	0.199960	+	0.979804i	$0.435919\pi$
$594$	1.16372	−	2.85637i	0.0477478	−	0.117198i
$595$	3.91381	+	2.39285i	0.160451	+	0.0980974i
$596$	−9.02558	−	15.6328i	−0.369702	−	0.640343i
$597$	−5.24465	−	8.19731i	−0.214649	−	0.335493i
$598$	5.60817	+	9.71363i	0.229335	+	0.397220i
$599$	8.39037	+	14.5325i	0.342821	+	0.593784i	0.984955	−	0.172808i	$-0.0552842\pi$
$599$	8.39037	+	14.5325i	0.342821	+	0.593784i	−0.642134	+	0.766592i	$0.721951\pi$
$600$	3.70321	−	7.14763i	0.151183	−	0.291801i
$601$	−5.69961	−	9.87202i	−0.232492	−	0.402688i	0.726049	−	0.687643i	$-0.241355\pi$
$601$	−5.69961	−	9.87202i	−0.232492	−	0.402688i	−0.958541	+	0.284955i	$0.908021\pi$
$602$	0.742705	−	29.5232i	0.0302704	−	1.20328i
$603$	2.40623	−	5.21289i	0.0979891	−	0.212285i
$604$	−0.823832	−	1.42692i	−0.0335212	−	0.0580605i
$605$	−6.32023			−0.256954
$606$	1.51478	+	2.36758i	0.0615339	+	0.0961765i
$607$	−14.4284			−0.585631			−0.292815	−	0.956169i	$-0.594592\pi$
$607$	−14.4284			−0.585631			−0.292815	+	0.956169i	$0.594592\pi$
$608$	−2.69076	+	4.66053i	−0.109125	+	0.189009i
$609$	−0.579664	−	28.3802i	−0.0234892	−	1.15002i
$610$	−1.97296	−	3.41726i	−0.0798827	−	0.138361i
$611$	−15.2915	−	26.4857i	−0.618629	−	1.07150i
$612$	5.05408	+	7.15869i	0.204299	+	0.289373i
$613$	12.2053	−	21.1403i	0.492969	−	0.853848i	−0.506998	−	0.861947i	$-0.669245\pi$
$613$	12.2053	−	21.1403i	0.492969	−	0.853848i	0.999967	+	0.00809942i	$0.00257815\pi$
$614$	−11.3384	+	19.6387i	−0.457581	+	0.792554i
$615$	0.151457	+	0.236725i	0.00610733	+	0.00954566i
$616$	−0.0394951	+	1.56997i	−0.00159130	+	0.0632558i
$617$	24.4698	−	42.3830i	0.985119	−	1.70628i	0.343710	−	0.939076i	$-0.388316\pi$
$617$	24.4698	−	42.3830i	0.985119	−	1.70628i	0.641408	−	0.767200i	$-0.278350\pi$
$618$	−5.95691	−	9.31056i	−0.239622	−	0.374525i
$619$	−44.6591			−1.79500			−0.897501	−	0.441012i	$-0.854620\pi$
$619$	−44.6591			−1.79500			−0.897501	+	0.441012i	$0.854620\pi$
$620$	2.33482	−	4.04403i	0.0937687	−	0.162412i
$621$	−22.9612	+	3.15897i	−0.921400	+	0.126765i
$622$	6.51459			0.261211
$623$	28.8982	−	15.7290i	1.15778	−	0.630168i
$624$	−4.35087	+	0.198422i	−0.174174	+	0.00794323i
$625$	19.8391			0.793564
$626$	0.133074	+	0.230492i	0.00531873	+	0.00921230i
$627$	−5.52704	+	0.252061i	−0.220729	+	0.0100663i
$628$	3.30039	−	5.71644i	0.131700	−	0.228111i
$629$	2.92101			0.116468
$630$	−0.310705	−	4.70113i	−0.0123788	−	0.187298i
$631$	33.2852			1.32506			0.662532	−	0.749034i	$-0.269482\pi$
$631$	33.2852			1.32506			0.662532	+	0.749034i	$0.269482\pi$
$632$	−4.62422	+	8.00938i	−0.183942	+	0.318596i
$633$	−18.0387	−	28.1942i	−0.716974	−	1.12062i
$634$	7.86186	+	13.6171i	0.312235	+	0.540806i
$635$	7.32158			0.290548
$636$	−6.41741	+	12.3863i	−0.254467	+	0.491151i
$637$	9.55641	−	14.7821i	0.378639	−	0.585687i
$638$	3.67684			0.145568
$639$	24.9341	+	35.3172i	0.986379	+	1.39713i
$640$	0.296790	−	0.514055i	0.0117316	−	0.0203198i
$641$	30.7879			1.21605			0.608025	−	0.793918i	$-0.291962\pi$
$641$	30.7879			1.21605			0.608025	+	0.793918i	$0.291962\pi$
$642$	14.9071	−	28.7724i	0.588336	−	1.13556i
$643$	−13.7345	+	23.7889i	−0.541637	+	0.938142i	0.457174	+	0.889378i	$0.348862\pi$
$643$	−13.7345	+	23.7889i	−0.541637	+	0.938142i	−0.998810	+	0.0487649i	$0.984471\pi$
$644$	10.3655	−	5.64180i	0.408456	−	0.222318i
$645$	−11.4641	+	0.522821i	−0.451399	+	0.0205861i
$646$	7.85973	−	13.6134i	0.309237	−	0.535614i
$647$	−6.63521	+	11.4925i	−0.260857	+	0.451818i	−0.966470	−	0.256780i	$-0.917338\pi$
$647$	−6.63521	+	11.4925i	−0.260857	+	0.451818i	0.705613	+	0.708598i	$0.250672\pi$
$648$	3.01245	−	8.48087i	0.118340	−	0.333160i
$649$	2.56654	+	4.44537i	0.100745	+	0.174496i
$650$	−5.84348	−	10.1212i	−0.229200	−	0.396986i
$651$	0.736182	+	36.0433i	0.0288532	+	1.41265i
$652$	−2.99115	+	5.18082i	−0.117142	+	0.202896i
$653$	−17.1416			−0.670803			−0.335402	−	0.942075i	$-0.608872\pi$
$653$	−17.1416			−0.670803			−0.335402	+	0.942075i	$0.608872\pi$
$654$	4.96050	−	0.226224i	0.193971	−	0.00884606i
$655$	−0.704673			−0.0275338
$656$	−0.136673	−	0.236725i	−0.00533619	−	0.00924255i
$657$	−23.6429	+	2.16096i	−0.922397	+	0.0843072i
$658$	−28.2630	+	15.3832i	−1.10181	+	0.599701i
$659$	4.26089	+	7.38008i	0.165981	+	0.287487i	0.937003	−	0.349321i	$-0.113588\pi$
$659$	4.26089	+	7.38008i	0.165981	+	0.287487i	−0.771022	+	0.636808i	$0.780254\pi$
$660$	0.609631	−	0.0278023i	0.0237299	−	0.00108220i
$661$	−17.1680	−	29.7358i	−0.667757	−	1.15659i	−0.978530	−	0.206105i	$-0.933921\pi$
$661$	−17.1680	−	29.7358i	−0.667757	−	1.15659i	0.310773	−	0.950484i	$-0.399412\pi$
$662$	−12.5811	−	21.7912i	−0.488979	−	0.846937i
$663$	12.7089	−	0.579592i	0.493575	−	0.0225095i
$664$	−3.85087	−	6.66991i	−0.149443	−	0.258843i
$665$	−7.42315	+	4.04033i	−0.287857	+	0.156677i
$666$	−1.73025	−	2.45076i	−0.0670459	−	0.0949650i
$667$	−13.8150	−	23.9282i	−0.534918	−	0.926505i
$668$	−7.46050			−0.288656
$669$	43.8178	−	1.99831i	1.69409	−	0.0772592i
$670$	1.13600			0.0438875
$671$	−1.97296	+	3.41726i	−0.0761652	+	0.131922i
$672$	0.0935793	+	4.58162i	0.00360990	+	0.176740i
$673$	−7.70155	−	13.3395i	−0.296873	−	0.514199i	0.678546	−	0.734558i	$-0.262610\pi$
$673$	−7.70155	−	13.3395i	−0.296873	−	0.514199i	−0.975419	+	0.220359i	$0.929277\pi$
$674$	9.36693	+	16.2240i	0.360800	+	0.624925i
$675$	23.9246	−	3.29152i	0.920859	−	0.126691i
$676$	3.33842	−	5.78231i	0.128401	−	0.222397i
$677$	3.69076	−	6.39258i	0.141847	−	0.245687i	−0.786345	−	0.617788i	$-0.788029\pi$
$677$	3.69076	−	6.39258i	0.141847	−	0.245687i	0.928192	+	0.372101i	$0.121362\pi$
$678$	21.3171	−	0.972168i	0.818679	−	0.0373359i
$679$	−27.2675	+	14.8414i	−1.04643	+	0.569560i
$680$	−0.866926	+	1.50156i	−0.0332451	+	0.0575822i
$681$	3.83823	−	7.40822i	0.147081	−	0.283884i
$682$	−4.66964			−0.178810
$683$	4.79893	−	8.31198i	0.183626	−	0.318049i	−0.759487	−	0.650523i	$-0.774550\pi$
$683$	4.79893	−	8.31198i	0.183626	−	0.318049i	0.943113	+	0.332474i	$0.107883\pi$
$684$	−16.0775	+	1.46949i	−0.614740	+	0.0561873i
$685$	1.49688			0.0571929
$686$	−15.2953	−	10.4428i	−0.583978	−	0.398710i
$687$	−7.40642	+	14.2953i	−0.282573	+	0.545398i
$688$	11.1623			0.425557
$689$	10.1264	+	17.5394i	0.385783	+	0.668197i
$690$	−2.47150	−	3.86291i	−0.0940882	−	0.147058i
$691$	7.07227	−	12.2495i	0.269042	−	0.465994i	−0.699573	−	0.714561i	$-0.746626\pi$
$691$	7.07227	−	12.2495i	0.269042	−	0.465994i	0.968615	+	0.248567i	$0.0799597\pi$
$692$	−25.6591			−0.975414
$693$	−3.91595	+	2.61965i	−0.148755	+	0.0995121i
$694$	−22.5438			−0.855750
$695$	1.45837	−	2.52597i	0.0553191	−	0.0958155i
$696$	10.7178	−	0.488786i	0.406257	−	0.0185274i
$697$	0.399223	+	0.691475i	0.0151217	+	0.0261915i
$698$	3.79086			0.143486
$699$	0.336285	−	0.0153363i	0.0127195	−	0.000580072i
$700$	−10.8004	+	5.87852i	−0.408216	+	0.222187i
$701$	37.3753			1.41164			0.705822	−	0.708389i	$-0.250578\pi$
$701$	37.3753			1.41164			0.705822	+	0.708389i	$0.250578\pi$
$702$	−8.01439	−	10.3196i	−0.302484	−	0.389489i
$703$	−2.69076	+	4.66053i	−0.101484	+	0.175775i
$704$	−0.593579			−0.0223714
$705$	6.73891	+	10.5328i	0.253802	+	0.396689i
$706$	3.41741	−	5.91913i	0.128616	−	0.222769i
$707$	0.107974	−	4.29205i	0.00406077	−	0.161419i
$708$	8.07227	+	12.6168i	0.303375	+	0.474170i
$709$	5.24338	−	9.08180i	0.196919	−	0.341074i	−0.750609	−	0.660747i	$-0.770240\pi$
$709$	5.24338	−	9.08180i	0.196919	−	0.341074i	0.947528	+	0.319673i	$0.103573\pi$
$710$	−4.27694	+	7.40789i	−0.160511	+	0.278013i
$711$	−27.6301	+	2.52540i	−1.03621	+	0.0947099i
$712$	6.21780	+	10.7695i	0.233022	+	0.403606i
$713$	17.5452	+	30.3892i	0.657074	+	1.13809i
$714$	−0.273346	−	13.3830i	−0.0102297	−	0.500845i
$715$	0.442991	−	0.767282i	0.0165669	−	0.0286947i
$716$	−15.0364			−0.561936
$717$	12.7463	+	19.9223i	0.476019	+	0.744011i
$718$	−12.6447			−0.471897
$719$	1.11995	+	1.93981i	0.0417670	+	0.0723426i	0.886153	−	0.463392i	$-0.153368\pi$
$719$	1.11995	+	1.93981i	0.0417670	+	0.0723426i	−0.844386	+	0.535735i	$0.820035\pi$
$720$	1.77335	−	0.162084i	0.0660887	−	0.00604052i
$721$	−0.424608	+	16.8786i	−0.0158132	+	0.628590i
$722$	4.98035	+	8.62622i	0.185349	+	0.321035i
$723$	−10.3583	+	19.9927i	−0.385228	+	0.743535i
$724$	0.0430937	+	0.0746406i	0.00160157	+	0.00277399i
$725$	14.3946	+	24.9322i	0.534604	+	0.925961i
$726$	9.93920	+	15.5348i	0.368878	+	0.576551i
$727$	0.185023	+	0.320469i	0.00686211	+	0.0118855i	0.869436	−	0.494045i	$-0.164482\pi$
$727$	0.185023	+	0.320469i	0.00686211	+	0.0118855i	−0.862574	+	0.505931i	$0.831149\pi$
$728$	5.67617	+	3.47033i	0.210373	+	0.128619i
$729$	25.9969	−	7.29124i	0.962847	−	0.270046i
$730$	−2.34874	−	4.06813i	−0.0869307	−	0.150568i
$731$	−32.6050			−1.20594
$732$	−5.29679	+	10.2234i	−0.195775	+	0.377868i
$733$	14.0191			0.517806			0.258903	−	0.965903i	$-0.416639\pi$
$733$	14.0191			0.517806			0.258903	+	0.965903i	$0.416639\pi$
$734$	3.27188	−	5.66707i	0.120767	−	0.209175i
$735$	−3.62782	+	6.21550i	−0.133814	+	0.229262i
$736$	2.23025	+	3.86291i	0.0822082	+	0.142389i
$737$	−0.568000	−	0.983804i	−0.0209225	−	0.0362389i
$738$	0.343677	−	0.744547i	0.0126509	−	0.0274071i
$739$	13.3872	−	23.1874i	0.492458	−	0.852962i	−0.507504	−	0.861649i	$-0.669432\pi$
$739$	13.3872	−	23.1874i	0.492458	−	0.852962i	0.999962	+	0.00868705i	$0.00276521\pi$
$740$	0.296790	−	0.514055i	0.0109102	−	0.0188970i
$741$	−10.7824	+	20.8113i	−0.396101	+	0.764521i
$742$	18.7163	−	10.1871i	0.687098	−	0.373980i
$743$	−5.04669	+	8.74113i	−0.185145	+	0.320681i	−0.943625	−	0.331015i	$-0.892609\pi$
$743$	−5.04669	+	8.74113i	−0.185145	+	0.320681i	0.758480	+	0.651696i	$0.225942\pi$
$744$	−13.6118	+	0.620765i	−0.499032	+	0.0227584i
$745$	10.7148			0.392560
$746$	4.71420	−	8.16524i	0.172599	−	0.298951i
$747$	9.68337	−	20.9782i	0.354296	−	0.767552i
$748$	1.73385			0.0633959
$749$	−43.4764	+	23.6637i	−1.58859	+	0.864653i
$750$	5.34562	+	8.35512i	0.195194	+	0.305086i
$751$	11.5146			0.420173			0.210087	−	0.977683i	$-0.432625\pi$
$751$	11.5146			0.420173			0.210087	+	0.977683i	$0.432625\pi$
$752$	−6.08113	−	10.5328i	−0.221756	−	0.384092i
$753$	−15.5723	+	30.0563i	−0.567485	+	1.09531i
$754$	7.78813	−	13.4894i	0.283627	−	0.491256i
$755$	0.978019			0.0355938
$756$	−11.0665	+	8.15670i	−0.402486	+	0.296656i
$757$	−15.2484			−0.554214			−0.277107	−	0.960839i	$-0.589376\pi$
$757$	−15.2484			−0.554214			−0.277107	+	0.960839i	$0.589376\pi$
$758$	−3.63881	+	6.30260i	−0.132168	+	0.228921i
$759$	−2.10963	+	4.07183i	−0.0765748	+	0.147798i
$760$	−1.59718	−	2.76639i	−0.0579357	−	0.100348i
$761$	−1.70175			−0.0616883			−0.0308442	−	0.999524i	$-0.509820\pi$
$761$	−1.70175			−0.0616883			−0.0308442	+	0.999524i	$0.509820\pi$
$762$	−11.5139	−	17.9961i	−0.417105	−	0.651929i
$763$	−6.47150	−	3.95659i	−0.234284	−	0.143238i
$764$	3.98229			0.144074
$765$	−5.17996	+	0.473449i	−0.187282	+	0.0171176i
$766$	−12.0416	+	20.8567i	−0.435082	+	0.753584i
$767$	21.7453			0.785178
$768$	−1.73025	+	0.0789082i	−0.0624351	+	0.00284736i
$769$	24.1211	−	41.7790i	0.869829	−	1.50659i	0.00765823	−	0.999971i	$-0.497562\pi$
$769$	24.1211	−	41.7790i	0.869829	−	1.50659i	0.862171	−	0.506618i	$-0.169104\pi$
$770$	−0.795327	−	0.486253i	−0.0286616	−	0.0175233i
$771$	6.63521	−	12.8067i	0.238961	−	0.461223i
$772$	−3.39037	+	5.87229i	−0.122022	+	0.211348i
$773$	3.10243	−	5.37357i	0.111587	−	0.193274i	−0.804823	−	0.593514i	$-0.797740\pi$
$773$	3.10243	−	5.37357i	0.111587	−	0.193274i	0.916410	+	0.400240i	$0.131073\pi$
$774$	19.3135	+	27.3560i	0.694210	+	0.983291i
$775$	−18.2814	−	31.6643i	−0.656688	−	1.13742i
$776$	−5.86693	−	10.1618i	−0.210610	−	0.364788i
$777$	0.0935793	+	4.58162i	0.00335714	+	0.164365i
$778$	−8.14913	+	14.1147i	−0.292160	+	0.506037i
$779$	−1.47102			−0.0527046
$780$	1.18929	−	2.29548i	0.0425836	−	0.0821913i
$781$	8.55389			0.306082
$782$	−6.51459	−	11.2836i	−0.232961	−	0.403501i
$783$	19.7424	+	25.4210i	0.705536	+	0.908474i
$784$	3.80039	−	5.87852i	0.135728	−	0.209947i
$785$	1.95904	+	3.39316i	0.0699212	+	0.121107i
$786$	1.10817	+	1.73205i	0.0395271	+	0.0617802i
$787$	−3.04883	−	5.28073i	−0.108679	−	0.188238i	0.806556	−	0.591157i	$-0.201329\pi$
$787$	−3.04883	−	5.28073i	−0.108679	−	0.188238i	−0.915235	+	0.402920i	$0.867995\pi$
$788$	−5.52918	−	9.57682i	−0.196969	−	0.341160i
$789$	−13.6175	+	26.2834i	−0.484796	+	0.935712i
$790$	−2.74484	−	4.75420i	−0.0976571	−	0.169147i
$791$	−27.8104	−	17.0029i	−0.988824	−	0.604554i
$792$	−1.02704	−	1.45472i	−0.0364944	−	0.0516913i
$793$	8.35807	+	14.4766i	0.296804	+	0.514079i
$794$	−12.1724			−0.431981
$795$	−4.46264	−	6.97504i	−0.158274	−	0.247379i
$796$	−5.61849			−0.199142
$797$	−6.22860	+	10.7882i	−0.220628	+	0.382139i	−0.954999	−	0.296609i	$-0.904144\pi$
$797$	−6.22860	+	10.7882i	−0.220628	+	0.382139i	0.734371	+	0.678749i	$0.237477\pi$
$798$	21.6046	+	11.8919i	0.764793	+	0.420969i
$799$	17.7630	+	30.7665i	0.628411	+	1.08844i
$800$	−2.32383	−	4.02499i	−0.0821599	−	0.142305i
$801$	−15.6352	+	33.8724i	−0.552443	+	1.19682i
$802$	−16.6804	+	28.8914i	−0.589007	+	1.02019i
$803$	−2.34874	+	4.06813i	−0.0828852	+	0.143561i
$804$	−1.78647	−	2.79223i	−0.0630040	−	0.0984744i
$805$	−0.176168	+	7.00284i	−0.00620911	+	0.246818i
$806$	−9.89104	+	17.1318i	−0.348397	+	0.603442i
$807$	9.34806	+	14.6109i	0.329067	+	0.514328i
$808$	1.62276			0.0570884
$809$	−2.81644	+	4.87822i	−0.0990208	+	0.171509i	−0.911280	−	0.411788i	$-0.864904\pi$
$809$	−2.81644	+	4.87822i	−0.0990208	+	0.171509i	0.812259	+	0.583297i	$0.198238\pi$
$810$	3.46557	+	4.06560i	0.121768	+	0.142851i
$811$	−45.6414			−1.60269			−0.801344	−	0.598204i	$-0.795881\pi$
$811$	−45.6414			−1.60269			−0.801344	+	0.598204i	$0.795881\pi$
$812$	−13.9825	−	8.54871i	−0.490689	−	0.300001i
$813$	17.6644	−	0.805585i	0.619517	−	0.0282531i
$814$	−0.593579			−0.0208049
$815$	−1.77548	−	3.07523i	−0.0621924	−	0.107720i
$816$	5.05408	−	0.230492i	0.176928	−	0.00806883i
$817$	30.0349	−	52.0220i	1.05079	−	1.82002i
$818$	5.78074			0.202119
$819$	1.31625	+	19.9155i	0.0459933	+	0.695903i
$820$	0.162253			0.00566611
$821$	−16.3473	+	28.3143i	−0.570524	+	0.988176i	0.425988	+	0.904729i	$0.359926\pi$
$821$	−16.3473	+	28.3143i	−0.570524	+	0.988176i	−0.996512	+	0.0834476i	$0.973407\pi$
$822$	−2.35399	−	3.67926i	−0.0821050	−	0.128329i
$823$	5.21994	+	9.04119i	0.181956	+	0.315156i	0.942546	−	0.334075i	$-0.108424\pi$
$823$	5.21994	+	9.04119i	0.181956	+	0.315156i	−0.760591	+	0.649231i	$0.775091\pi$
$824$	−6.38151			−0.222311
$825$	2.19815	−	4.24268i	0.0765297	−	0.147711i
$826$	0.575392	−	22.8723i	0.0200204	−	0.795830i
$827$	16.7060			0.580925			0.290463	−	0.956886i	$-0.406191\pi$
$827$	16.7060			0.580925			0.290463	+	0.956886i	$0.406191\pi$
$828$	−5.60817	+	12.1496i	−0.194897	+	0.422229i
$829$	−13.1046	+	22.6978i	−0.455141	+	0.788327i	−0.998696	−	0.0510466i	$-0.983744\pi$
$829$	−13.1046	+	22.6978i	−0.455141	+	0.788327i	0.543556	+	0.839373i	$0.317078\pi$
$830$	4.57160			0.158682
$831$	15.4117	−	29.7463i	0.534625	−	1.03189i
$832$	−1.25729	+	2.17770i	−0.0435888	+	0.0754981i
$833$	−11.1010	+	17.1712i	−0.384626	+	0.594948i
$834$	−8.50214	+	0.387740i	−0.294405	+	0.0134263i
$835$	2.21420	−	3.83511i	0.0766256	−	0.132719i
$836$	−1.59718	+	2.76639i	−0.0552396	+	0.0956777i
$837$	−25.0731	−	32.2851i	−0.866655	−	1.11594i
$838$	−15.4356	−	26.7352i	−0.533214	−	0.923554i
$839$	11.1886	+	19.3793i	0.386274	+	0.669046i	0.991945	−	0.126669i	$-0.0404286\pi$
$839$	11.1886	+	19.3793i	0.386274	+	0.669046i	−0.605671	+	0.795715i	$0.707095\pi$
$840$	−2.38298	−	1.31167i	−0.0822205	−	0.0452570i
$841$	−4.68502	+	8.11470i	−0.161553	+	0.279817i
$842$	−3.73385			−0.128677
$843$	−22.1519	+	1.01024i	−0.762953	+	0.0347945i
$844$	−19.3245			−0.665177
$845$	1.98162	+	3.43226i	0.0681697	+	0.118073i
$846$	15.2915	−	33.1278i	0.525734	−	1.13896i
$847$	0.708466	−	28.1622i	0.0243432	−	0.967663i
$848$	4.02704	+	6.97504i	0.138289	+	0.239524i
$849$	28.2937	−	1.29033i	0.971036	−	0.0442842i
$850$	6.78794	+	11.7570i	0.232824	+	0.403263i
$851$	2.23025	+	3.86291i	0.0764521	+	0.132419i
$852$	24.9341	−	1.13712i	0.854229	−	0.0389572i
$853$	4.96264	+	8.59555i	0.169918	+	0.294306i	0.938391	−	0.345576i	$-0.112317\pi$
$853$	4.96264	+	8.59555i	0.169918	+	0.294306i	−0.768473	+	0.639882i	$0.778983\pi$
$854$	15.4481	−	8.40819i	0.528621	−	0.287722i
$855$	4.01625	−	8.70086i	0.137353	−	0.297563i
$856$	−9.35447	−	16.2024i	−0.319729	−	0.553787i
$857$	7.79552			0.266290			0.133145	−	0.991097i	$-0.457492\pi$
$857$	7.79552			0.266290			0.133145	+	0.991097i	$0.457492\pi$
$858$	−2.58259	+	0.117779i	−0.0881681	+	0.00402091i
$859$	16.3422			0.557589			0.278795	−	0.960351i	$-0.410065\pi$
$859$	16.3422			0.557589			0.278795	+	0.960351i	$0.410065\pi$
$860$	−3.31284	+	5.73801i	−0.112967	+	0.195664i
$861$	−1.07179	+	0.648337i	−0.0365266	+	0.0220953i
$862$	14.0979	+	24.4182i	0.480175	+	0.831687i
$863$	0.730252	+	1.26483i	0.0248581	+	0.0430555i	0.878187	−	0.478318i	$-0.158753\pi$
$863$	0.730252	+	1.26483i	0.0248581	+	0.0430555i	−0.853329	+	0.521373i	$0.825420\pi$
$864$	−3.18716	−	4.10390i	−0.108429	−	0.139618i
$865$	7.61537	−	13.1902i	0.258930	−	0.448480i
$866$	6.27188	−	10.8632i	0.213127	−	0.369147i
$867$	14.6513	−	0.668172i	0.497583	−	0.0226923i
$868$	17.7580	+	10.8570i	0.602745	+	0.368510i
$869$	−2.74484	+	4.75420i	−0.0931124	+	0.161275i
$870$	−2.92967	+	5.65460i	−0.0993251	+	0.191709i
$871$	−4.81245			−0.163064
$872$	1.43346	−	2.48283i	0.0485432	−	0.0840792i
$873$	14.7529	−	31.9609i	0.499310	−	1.08171i
$874$	24.0043			0.811957
$875$	0.381036	−	15.1465i	0.0128814	−	0.512045i
$876$	−6.30564	+	12.1706i	−0.213048	+	0.411207i
$877$	−2.40935			−0.0813578			−0.0406789	−	0.999172i	$-0.512952\pi$
$877$	−2.40935			−0.0813578			−0.0406789	+	0.999172i	$0.512952\pi$
$878$	13.0203	+	22.5519i	0.439415	+	0.761088i
$879$	19.3953	+	30.3146i	0.654188	+	1.02249i
$880$	0.176168	−	0.305132i	0.00593863	−	0.0102860i
$881$	−18.9607			−0.638802			−0.319401	−	0.947620i	$-0.603482\pi$
$881$	−18.9607			−0.638802			−0.319401	+	0.947620i	$0.603482\pi$
$882$	20.9825	−	0.857490i	0.706517	−	0.0288732i
$883$	3.64008			0.122498			0.0612492	−	0.998123i	$-0.480492\pi$
$883$	3.64008			0.122498			0.0612492	+	0.998123i	$0.480492\pi$
$884$	3.67257	−	6.36108i	0.123522	−	0.213946i
$885$	−8.88151	+	0.405042i	−0.298549	+	0.0136153i
$886$	−11.7865	−	20.4148i	−0.395974	−	0.685848i
$887$	−24.4572			−0.821192			−0.410596	−	0.911817i	$-0.634679\pi$
$887$	−24.4572			−0.821192			−0.410596	+	0.911817i	$0.634679\pi$
$888$	−1.73025	+	0.0789082i	−0.0580635	+	0.00264799i
$889$	−0.820712	+	32.6240i	−0.0275258	+	1.09418i
$890$	−7.38151			−0.247429
$891$	1.78813	−	5.03407i	0.0599046	−	0.168648i
$892$	12.6623	−	21.9317i	0.423964	−	0.734326i
$893$	−65.4513			−2.19025
$894$	−16.8501	−	26.3364i	−0.563551	−	0.880822i
$895$	4.46264	−	7.72952i	0.149170	−	0.258369i
$896$	2.25729	+	1.38008i	0.0754109	+	0.0461052i
$897$	10.4700	+	16.3645i	0.349584	+	0.546395i
$898$	6.84348	−	11.8533i	0.228370	−	0.395548i
$899$	24.3653	−	42.2019i	0.812627	−	1.40751i
$900$	5.84348	−	12.6594i	0.194783	−	0.421980i
$901$	−11.7630	−	20.3742i	−0.391883	−	0.678762i
$902$	−0.0811263	−	0.140515i	−0.00270121	−	0.00467863i
$903$	−1.04456	−	51.1412i	−0.0347607	−	1.70187i
$904$	6.16012	−	10.6696i	0.204882	−	0.354867i
$905$	−0.0511591			−0.00170059
$906$	−1.53803	−	2.40392i	−0.0510977	−	0.0798650i
$907$	10.0368			0.333265			0.166633	−	0.986019i	$-0.446711\pi$
$907$	10.0368			0.333265			0.166633	+	0.986019i	$0.446711\pi$
$908$	−2.40856	−	4.17174i	−0.0799308	−	0.138444i
$909$	2.80778	+	3.97699i	0.0931282	+	0.131908i
$910$	−3.46857	+	1.88790i	−0.114982	+	0.0625833i
$911$	11.4459	+	19.8249i	0.379220	+	0.656828i	0.990949	−	0.134239i	$-0.0428590\pi$
$911$	11.4459	+	19.8249i	0.379220	+	0.656828i	−0.611729	+	0.791067i	$0.709526\pi$
$912$	−4.28794	+	8.27621i	−0.141988	+	0.274053i
$913$	−2.28580	−	3.95912i	−0.0756489	−	0.131028i
$914$	−11.1762	−	19.3577i	−0.369675	−	0.640296i
$915$	−3.68337	−	5.75705i	−0.121768	−	0.190322i
$916$	4.64766	+	8.04999i	0.153563	+	0.265979i
$917$	0.0789903	−	3.13993i	0.00260849	−	0.103690i
$918$	9.30972	+	11.9875i	0.307267	+	0.395648i
$919$	10.8910	+	18.8638i	0.359262	+	0.622261i	0.987838	−	0.155488i	$-0.0496950\pi$
$919$	10.8910	+	18.8638i	0.359262	+	0.622261i	−0.628575	+	0.777749i	$0.716362\pi$
$920$	−2.64766			−0.0872909
$921$	−18.0687	+	34.8746i	−0.595383	+	1.14916i
$922$	−7.97509			−0.262646
$923$	18.1185	−	31.3821i	0.596377	−	1.03296i
$924$	0.0555468	+	2.71956i	0.00182735	+	0.0894668i
$925$	−2.32383	−	4.02499i	−0.0764071	−	0.132341i
$926$	14.3676	+	24.8854i	0.472149	+	0.817785i
$927$	−11.0416	−	15.6396i	−0.362655	−	0.513671i
$928$	3.09718	−	5.36447i	0.101670	−	0.176097i
$929$	16.4189	−	28.4383i	0.538686	−	0.933031i	−0.460289	−	0.887769i	$-0.652254\pi$
$929$	16.4189	−	28.4383i	0.538686	−	0.933031i	0.998975	−	0.0452622i	$-0.0144123\pi$
$930$	3.72072	−	7.18143i	0.122007	−	0.235488i
$931$	−17.1711	−	33.5295i	−0.562760	−	1.09888i
$932$	0.0971780	−	0.168317i	0.00318317	−	0.00551341i
$933$	11.2719	−	0.514055i	0.369025	−	0.0168294i
$934$	33.5657			1.09830
$935$	−0.514589	+	0.891294i	−0.0168289	+	0.0291484i
$936$	−7.51245	+	0.686640i	−0.245552	+	0.0224435i
$937$	−8.78074			−0.286854			−0.143427	−	0.989661i	$-0.545812\pi$
$937$	−8.78074			−0.286854			−0.143427	+	0.989661i	$0.545812\pi$
$938$	−0.127340	+	5.06187i	−0.00415779	+	0.165276i
$939$	0.248440	+	0.388308i	0.00810754	+	0.0126720i
$940$	7.21926			0.235466
$941$	−2.13307	−	3.69459i	−0.0695362	−	0.120440i	0.829161	−	0.559010i	$-0.188819\pi$
$941$	−2.13307	−	3.69459i	−0.0695362	−	0.120440i	−0.898697	+	0.438570i	$0.855485\pi$
$942$	5.25943	−	10.1513i	0.171362	−	0.330748i
$943$	−0.609631	+	1.05591i	−0.0198523	+	0.0343852i
$944$	8.64766			0.281457
$945$	−0.908557	−	8.10963i	−0.0295554	−	0.263806i
$946$	6.62568			0.215420
$947$	11.5292	−	19.9691i	0.374648	−	0.648909i	−0.615626	−	0.788038i	$-0.711097\pi$
$947$	11.5292	−	19.9691i	0.374648	−	0.648909i	0.990274	+	0.139129i	$0.0444302\pi$
$948$	−7.36906	+	14.2231i	−0.239336	+	0.461946i
$949$	9.94999	+	17.2339i	0.322990	+	0.559436i
$950$	−25.0115			−0.811479
$951$	14.6775	+	22.9407i	0.475951	+	0.743904i
$952$	−6.59358	−	4.03123i	−0.213699	−	0.130653i
$953$	−36.5552			−1.18414			−0.592070	−	0.805886i	$-0.701689\pi$
$953$	−36.5552			−1.18414			−0.592070	+	0.805886i	$0.701689\pi$
$954$	−10.1264	+	21.9379i	−0.327853	+	0.710266i
$955$	−1.18190	+	2.04712i	−0.0382455	+	0.0662431i
$956$	13.6549			0.441630
$957$	6.36186	−	0.290133i	0.205650	−	0.00937867i
$958$	0.183560	−	0.317935i	0.00593056	−	0.0102720i
$959$	−0.167793	+	6.66991i	−0.00541831	+	0.215383i
$960$	0.472958	−	0.912864i	0.0152647	−	0.0294625i
$961$	−15.4443	+	26.7502i	−0.498202	+	0.862911i
$962$	−1.25729	+	2.17770i	−0.0405368	+	0.0702118i
$963$	23.5227	−	50.9599i	0.758007	−	1.64216i
$964$	6.50000	+	11.2583i	0.209351	+	0.362606i
$965$	−2.01245	−	3.48567i	−0.0647832	−	0.112208i
$966$	17.4897	−	10.5797i	0.562721	−	0.340395i
$967$	26.7719	−	46.3703i	0.860926	−	1.49117i	−0.0101108	−	0.999949i	$-0.503218\pi$
$967$	26.7719	−	46.3703i	0.860926	−	1.49117i	0.871037	−	0.491218i	$-0.163448\pi$
$968$	10.6477			0.342229
$969$	12.5251	−	24.1749i	0.402364	−	0.776610i
$970$	6.96497			0.223632
$971$	−15.9897	−	27.6949i	−0.513133	−	0.888773i	−0.999884	−	0.0152321i	$-0.995151\pi$
$971$	−15.9897	−	27.6949i	−0.513133	−	0.888773i	0.486751	−	0.873541i	$-0.338182\pi$
$972$	4.54309	−	14.9118i	0.145720	−	0.478295i
$973$	11.0919	+	6.78146i	0.355591	+	0.217403i
$974$	14.9538	+	25.9007i	0.479150	+	0.829913i
$975$	−10.9093	−	17.0511i	−0.349379	−	0.546074i
$976$	3.32383	+	5.75705i	0.106393	+	0.184279i
$977$	13.7104	+	23.7471i	0.438635	+	0.759738i	0.997584	−	0.0694638i	$-0.0221288\pi$
$977$	13.7104	+	23.7471i	0.438635	+	0.759738i	−0.558950	+	0.829202i	$0.688796\pi$
$978$	−4.76663	+	9.20015i	−0.152420	+	0.294188i
$979$	3.69076	+	6.39258i	0.117957	+	0.204308i
$980$	1.89397	+	3.69829i	0.0605006	+	0.118138i
$981$	8.56507	−	0.782849i	0.273462	−	0.0249945i
$982$	0.255158	+	0.441947i	0.00814243	+	0.0141031i
$983$	−59.1564			−1.88680			−0.943398	−	0.331662i	$-0.892390\pi$
$983$	−59.1564			−1.88680			−0.943398	+	0.331662i	$0.892390\pi$
$984$	−0.255158	−	0.398809i	−0.00813416	−	0.0127136i
$985$	6.56401			0.209147
$986$	−9.04689	+	15.6697i	−0.288112	+	0.499024i
$987$	−47.6883	+	28.8471i	−1.51794	+	0.918212i
$988$	6.76615	+	11.7193i	0.215260	+	0.372841i
$989$	−24.8946	−	43.1188i	−0.791604	−	1.37110i
$990$	1.05262	−	0.0962098i	0.0334545	−	0.00305775i
$991$	6.41887	−	11.1178i	0.203902	−	0.353169i	−0.745880	−	0.666080i	$-0.767971\pi$
$991$	6.41887	−	11.1178i	0.203902	−	0.353169i	0.949782	+	0.312911i	$0.101304\pi$
$992$	−3.93346	+	6.81296i	−0.124888	+	0.216312i
$993$	−23.4880	−	36.7114i	−0.745370	−	1.16500i
$994$	−32.5292	−	19.8879i	−1.03176	−	0.630806i
$995$	1.66751	−	2.88821i	0.0528636	−	0.0915624i
$996$	−7.18929	−	11.2368i	−0.227802	−	0.356050i
$997$	−5.78074			−0.183078			−0.0915389	−	0.995802i	$-0.529179\pi$
$997$	−5.78074			−0.183078			−0.0915389	+	0.995802i	$0.529179\pi$
$998$	−9.50953	+	16.4710i	−0.301019	+	0.521380i
$999$	−3.18716	−	4.10390i	−0.100837	−	0.129842i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	126.2.h.d.67.2	yes	6
3.2	odd	2		378.2.h.c.361.2		6
4.3	odd	2		1008.2.t.h.193.2		6
7.2	even	3		126.2.e.c.121.2	yes	6
7.3	odd	6		882.2.f.o.589.3		6
7.4	even	3		882.2.f.n.589.1		6
7.5	odd	6		882.2.e.o.373.2		6
7.6	odd	2		882.2.h.p.67.2		6
9.2	odd	6		378.2.e.d.235.2		6
9.4	even	3		1134.2.g.m.487.2		6
9.5	odd	6		1134.2.g.l.487.2		6
9.7	even	3		126.2.e.c.25.2	✓	6
12.11	even	2		3024.2.t.h.1873.2		6
21.2	odd	6		378.2.e.d.37.2		6
21.5	even	6		2646.2.e.p.1549.2		6
21.11	odd	6		2646.2.f.l.1765.2		6
21.17	even	6		2646.2.f.m.1765.2		6
21.20	even	2		2646.2.h.o.361.2		6
28.23	odd	6		1008.2.q.g.625.2		6
36.7	odd	6		1008.2.q.g.529.2		6
36.11	even	6		3024.2.q.g.2881.2		6
63.2	odd	6		378.2.h.c.289.2		6
63.4	even	3		7938.2.a.bv.1.2		3
63.11	odd	6		2646.2.f.l.883.2		6
63.16	even	3	inner	126.2.h.d.79.2	yes	6
63.20	even	6		2646.2.e.p.2125.2		6
63.23	odd	6		1134.2.g.l.163.2		6
63.25	even	3		882.2.f.n.295.1		6
63.31	odd	6		7938.2.a.bw.1.2		3
63.32	odd	6		7938.2.a.ca.1.2		3
63.34	odd	6		882.2.e.o.655.2		6
63.38	even	6		2646.2.f.m.883.2		6
63.47	even	6		2646.2.h.o.667.2		6
63.52	odd	6		882.2.f.o.295.3		6
63.58	even	3		1134.2.g.m.163.2		6
63.59	even	6		7938.2.a.bz.1.2		3
63.61	odd	6		882.2.h.p.79.2		6
84.23	even	6		3024.2.q.g.2305.2		6
252.79	odd	6		1008.2.t.h.961.2		6
252.191	even	6		3024.2.t.h.289.2		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
126.2.e.c.25.2	✓	6	9.7	even	3
126.2.e.c.121.2	yes	6	7.2	even	3
126.2.h.d.67.2	yes	6	1.1	even	1	trivial
126.2.h.d.79.2	yes	6	63.16	even	3	inner
378.2.e.d.37.2		6	21.2	odd	6
378.2.e.d.235.2		6	9.2	odd	6
378.2.h.c.289.2		6	63.2	odd	6
378.2.h.c.361.2		6	3.2	odd	2
882.2.e.o.373.2		6	7.5	odd	6
882.2.e.o.655.2		6	63.34	odd	6
882.2.f.n.295.1		6	63.25	even	3
882.2.f.n.589.1		6	7.4	even	3
882.2.f.o.295.3		6	63.52	odd	6
882.2.f.o.589.3		6	7.3	odd	6
882.2.h.p.67.2		6	7.6	odd	2
882.2.h.p.79.2		6	63.61	odd	6
1008.2.q.g.529.2		6	36.7	odd	6
1008.2.q.g.625.2		6	28.23	odd	6
1008.2.t.h.193.2		6	4.3	odd	2
1008.2.t.h.961.2		6	252.79	odd	6
1134.2.g.l.163.2		6	63.23	odd	6
1134.2.g.l.487.2		6	9.5	odd	6
1134.2.g.m.163.2		6	63.58	even	3
1134.2.g.m.487.2		6	9.4	even	3
2646.2.e.p.1549.2		6	21.5	even	6
2646.2.e.p.2125.2		6	63.20	even	6
2646.2.f.l.883.2		6	63.11	odd	6
2646.2.f.l.1765.2		6	21.11	odd	6
2646.2.f.m.883.2		6	63.38	even	6
2646.2.f.m.1765.2		6	21.17	even	6
2646.2.h.o.361.2		6	21.20	even	2
2646.2.h.o.667.2		6	63.47	even	6
3024.2.q.g.2305.2		6	84.23	even	6
3024.2.q.g.2881.2		6	36.11	even	6
3024.2.t.h.289.2		6	252.191	even	6
3024.2.t.h.1873.2		6	12.11	even	2
7938.2.a.bv.1.2		3	63.4	even	3
7938.2.a.bw.1.2		3	63.31	odd	6
7938.2.a.bz.1.2		3	63.59	even	6
7938.2.a.ca.1.2		3	63.32	odd	6

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:	\( N \)	\(=\)	\( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	126.h (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.796790 - 1.53790i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.593579 q^{5} +(-0.933463 - 1.45899i) q^{6} +(-0.0665372 + 2.64491i) q^{7} -1.00000 q^{8} +(-1.73025 - 2.45076i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.796790 - 1.53790i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.593579 q^{5} +(-0.933463 - 1.45899i) q^{6} +(-0.0665372 + 2.64491i) q^{7} -1.00000 q^{8} +(-1.73025 - 2.45076i) q^{9} +(0.296790 - 0.514055i) q^{10} -0.593579 q^{11} +(-1.73025 + 0.0789082i) q^{12} +(-1.25729 + 2.17770i) q^{13} +(2.25729 + 1.38008i) q^{14} +(0.472958 - 0.912864i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.46050 - 2.52967i) q^{17} +(-2.98755 + 0.273062i) q^{18} +(2.69076 + 4.66053i) q^{19} +(-0.296790 - 0.514055i) q^{20} +(4.01459 + 2.20977i) q^{21} +(-0.296790 + 0.514055i) q^{22} +4.46050 q^{23} +(-0.796790 + 1.53790i) q^{24} -4.64766 q^{25} +(1.25729 + 2.17770i) q^{26} +(-5.14766 + 0.708209i) q^{27} +(2.32383 - 1.26483i) q^{28} +(-3.09718 - 5.36447i) q^{29} +(-0.554084 - 0.866025i) q^{30} +(3.93346 + 6.81296i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.472958 + 0.912864i) q^{33} +(-1.46050 - 2.52967i) q^{34} +(-0.0394951 + 1.56997i) q^{35} +(-1.25729 + 2.72382i) q^{36} +(0.500000 + 0.866025i) q^{37} +5.38151 q^{38} +(2.34728 + 3.66876i) q^{39} -0.593579 q^{40} +(-0.136673 + 0.236725i) q^{41} +(3.92101 - 2.37185i) q^{42} +(-5.58113 - 9.66679i) q^{43} +(0.296790 + 0.514055i) q^{44} +(-1.02704 - 1.45472i) q^{45} +(2.23025 - 3.86291i) q^{46} +(-6.08113 + 10.5328i) q^{47} +(0.933463 + 1.45899i) q^{48} +(-6.99115 - 0.351971i) q^{49} +(-2.32383 + 4.02499i) q^{50} +(-2.72665 - 4.26172i) q^{51} +2.51459 q^{52} +(4.02704 - 6.97504i) q^{53} +(-1.96050 + 4.81211i) q^{54} -0.352336 q^{55} +(0.0665372 - 2.64491i) q^{56} +(9.31138 - 0.424646i) q^{57} -6.19436 q^{58} +(-4.32383 - 7.48910i) q^{59} +(-1.02704 + 0.0468383i) q^{60} +(3.32383 - 5.75705i) q^{61} +7.86693 q^{62} +(6.59718 - 4.41330i) q^{63} +1.00000 q^{64} +(-0.746304 + 1.29264i) q^{65} +(0.554084 + 0.866025i) q^{66} +(0.956906 + 1.65741i) q^{67} -2.92101 q^{68} +(3.55408 - 6.85980i) q^{69} +(1.33988 + 0.819187i) q^{70} -14.4107 q^{71} +(1.73025 + 2.45076i) q^{72} +(3.95691 - 6.85356i) q^{73} +1.00000 q^{74} +(-3.70321 + 7.14763i) q^{75} +(2.69076 - 4.66053i) q^{76} +(0.0394951 - 1.56997i) q^{77} +(4.35087 - 0.198422i) q^{78} +(4.62422 - 8.00938i) q^{79} +(-0.296790 + 0.514055i) q^{80} +(-3.01245 + 8.48087i) q^{81} +(0.136673 + 0.236725i) q^{82} +(3.85087 + 6.66991i) q^{83} +(-0.0935793 - 4.58162i) q^{84} +(0.866926 - 1.50156i) q^{85} -11.1623 q^{86} +(-10.7178 + 0.488786i) q^{87} +0.593579 q^{88} +(-6.21780 - 10.7695i) q^{89} +(-1.77335 + 0.162084i) q^{90} +(-5.67617 - 3.47033i) q^{91} +(-2.23025 - 3.86291i) q^{92} +(13.6118 - 0.620765i) q^{93} +(6.08113 + 10.5328i) q^{94} +(1.59718 + 2.76639i) q^{95} +(1.73025 - 0.0789082i) q^{96} +(5.86693 + 10.1618i) q^{97} +(-3.80039 + 5.87852i) q^{98} +(1.02704 + 1.45472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q + 3 q^{2} + 2 q^{3} - 3 q^{4} - 2 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} - 4 q^{9}+O(q^{10}) \) 6 * q + 3 * q^2 + 2 * q^3 - 3 * q^4 - 2 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 - 4 * q^9	\( 6 q + 3 q^{2} + 2 q^{3} - 3 q^{4} - 2 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} - 4 q^{9} - q^{10} + 2 q^{11} - 4 q^{12} + 8 q^{13} - 2 q^{14} + 12 q^{15} - 3 q^{16} - 4 q^{17} + 4 q^{18} - 3 q^{19} + q^{20} - 7 q^{21} + q^{22} + 14 q^{23} - 2 q^{24} - 4 q^{25} - 8 q^{26} - 7 q^{27} + 2 q^{28} - 5 q^{29} + 15 q^{30} + 20 q^{31} + 3 q^{32} - 12 q^{33} + 4 q^{34} - 13 q^{35} + 8 q^{36} + 3 q^{37} - 6 q^{38} + q^{39} + 2 q^{40} - 2 q^{42} - 6 q^{43} - q^{44} + 3 q^{45} + 7 q^{46} - 9 q^{47} + 2 q^{48} - 12 q^{49} - 2 q^{50} - 18 q^{51} - 16 q^{52} + 15 q^{53} + q^{54} - 26 q^{55} + 4 q^{56} + 22 q^{57} - 10 q^{58} - 14 q^{59} + 3 q^{60} + 8 q^{61} + 40 q^{62} + 26 q^{63} + 6 q^{64} - 12 q^{65} - 15 q^{66} + q^{67} + 8 q^{68} + 3 q^{69} + 10 q^{70} + 14 q^{71} + 4 q^{72} + 19 q^{73} + 6 q^{74} - 25 q^{75} - 3 q^{76} + 13 q^{77} + 5 q^{78} + 5 q^{79} + q^{80} - 40 q^{81} + 2 q^{83} + 5 q^{84} - 2 q^{85} - 12 q^{86} - 36 q^{87} - 2 q^{88} - 9 q^{89} - 9 q^{90} - 46 q^{91} - 7 q^{92} + 37 q^{93} + 9 q^{94} - 4 q^{95} + 4 q^{96} + 28 q^{97} - 12 q^{98} - 3 q^{99}+O(q^{100}) \) 6 * q + 3 * q^2 + 2 * q^3 - 3 * q^4 - 2 * q^5 - 2 * q^6 - 4 * q^7 - 6 * q^8 - 4 * q^9 - q^10 + 2 * q^11 - 4 * q^12 + 8 * q^13 - 2 * q^14 + 12 * q^15 - 3 * q^16 - 4 * q^17 + 4 * q^18 - 3 * q^19 + q^20 - 7 * q^21 + q^22 + 14 * q^23 - 2 * q^24 - 4 * q^25 - 8 * q^26 - 7 * q^27 + 2 * q^28 - 5 * q^29 + 15 * q^30 + 20 * q^31 + 3 * q^32 - 12 * q^33 + 4 * q^34 - 13 * q^35 + 8 * q^36 + 3 * q^37 - 6 * q^38 + q^39 + 2 * q^40 - 2 * q^42 - 6 * q^43 - q^44 + 3 * q^45 + 7 * q^46 - 9 * q^47 + 2 * q^48 - 12 * q^49 - 2 * q^50 - 18 * q^51 - 16 * q^52 + 15 * q^53 + q^54 - 26 * q^55 + 4 * q^56 + 22 * q^57 - 10 * q^58 - 14 * q^59 + 3 * q^60 + 8 * q^61 + 40 * q^62 + 26 * q^63 + 6 * q^64 - 12 * q^65 - 15 * q^66 + q^67 + 8 * q^68 + 3 * q^69 + 10 * q^70 + 14 * q^71 + 4 * q^72 + 19 * q^73 + 6 * q^74 - 25 * q^75 - 3 * q^76 + 13 * q^77 + 5 * q^78 + 5 * q^79 + q^80 - 40 * q^81 + 2 * q^83 + 5 * q^84 - 2 * q^85 - 12 * q^86 - 36 * q^87 - 2 * q^88 - 9 * q^89 - 9 * q^90 - 46 * q^91 - 7 * q^92 + 37 * q^93 + 9 * q^94 - 4 * q^95 + 4 * q^96 + 28 * q^97 - 12 * q^98 - 3 * q^99

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