LMFDB - Embedded newform 126.2.e.c.121.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [126,2,Mod(25,126)]

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([4, 4]))

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

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

chi := DirichletCharacter("126.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 126 = 2 \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	126.e (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			121.2
Root			$0.500000 + 2.05195i$ of defining polynomial
Character	$\chi$	$=$	126.121
Dual form			126.2.e.c.25.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-1.00000 q^{2} +(0.933463 + 1.45899i) q^{3} +1.00000 q^{4} +(-0.296790 - 0.514055i) q^{5} +(-0.933463 - 1.45899i) q^{6} +(2.32383 + 1.26483i) q^{7} -1.00000 q^{8} +(-1.25729 + 2.72382i) q^{9} +O(q^{10})$	\(q-1.00000 q^{2} +(0.933463 + 1.45899i) q^{3} +1.00000 q^{4} +(-0.296790 - 0.514055i) q^{5} +(-0.933463 - 1.45899i) q^{6} +(2.32383 + 1.26483i) q^{7} -1.00000 q^{8} +(-1.25729 + 2.72382i) q^{9} +(0.296790 + 0.514055i) q^{10} +(0.296790 - 0.514055i) q^{11} +(0.933463 + 1.45899i) q^{12} +(-1.25729 + 2.17770i) q^{13} +(-2.32383 - 1.26483i) q^{14} +(0.472958 - 0.912864i) q^{15} +1.00000 q^{16} +(1.46050 + 2.52967i) q^{17} +(1.25729 - 2.72382i) q^{18} +(2.69076 - 4.66053i) q^{19} +(-0.296790 - 0.514055i) q^{20} +(0.323832 + 4.57112i) q^{21} +(-0.296790 + 0.514055i) q^{22} +(-2.23025 - 3.86291i) q^{23} +(-0.933463 - 1.45899i) q^{24} +(2.32383 - 4.02499i) 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} +(-0.472958 + 0.912864i) q^{30} -7.86693 q^{31} -1.00000 q^{32} +(1.02704 - 0.0468383i) 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} +(-2.69076 + 4.66053i) q^{38} +(-4.35087 + 0.198422i) q^{39} +(0.296790 + 0.514055i) q^{40} +(-0.136673 + 0.236725i) q^{41} +(-0.323832 - 4.57112i) q^{42} +(-5.58113 - 9.66679i) q^{43} +(0.296790 - 0.514055i) q^{44} +(1.77335 - 0.162084i) q^{45} +(2.23025 + 3.86291i) q^{46} +12.1623 q^{47} +(0.933463 + 1.45899i) q^{48} +(3.80039 + 5.87852i) q^{49} +(-2.32383 + 4.02499i) q^{50} +(-2.32743 + 4.49221i) q^{51} +(-1.25729 + 2.17770i) q^{52} +(4.02704 + 6.97504i) q^{53} +(5.14766 - 0.708209i) q^{54} -0.352336 q^{55} +(-2.32383 - 1.26483i) q^{56} +(9.31138 - 0.424646i) q^{57} +(3.09718 + 5.36447i) q^{58} +8.64766 q^{59} +(0.472958 - 0.912864i) q^{60} -6.64766 q^{61} +7.86693 q^{62} +(-6.36693 + 4.73944i) q^{63} +1.00000 q^{64} +1.49261 q^{65} +(-1.02704 + 0.0468383i) q^{66} -1.91381 q^{67} +(1.46050 + 2.52967i) q^{68} +(3.55408 - 6.85980i) q^{69} +(0.0394951 + 1.56997i) q^{70} -14.4107 q^{71} +(1.25729 - 2.72382i) q^{72} +(3.95691 + 6.85356i) q^{73} +(-0.500000 + 0.866025i) q^{74} +(8.04163 - 0.366739i) q^{75} +(2.69076 - 4.66053i) q^{76} +(1.33988 - 0.819187i) q^{77} +(4.35087 - 0.198422i) q^{78} -9.24844 q^{79} +(-0.296790 - 0.514055i) q^{80} +(-5.83842 - 6.84929i) q^{81} +(0.136673 - 0.236725i) q^{82} +(3.85087 + 6.66991i) q^{83} +(0.323832 + 4.57112i) q^{84} +(0.866926 - 1.50156i) q^{85} +(5.58113 + 9.66679i) q^{86} +(4.93560 - 9.52628i) q^{87} +(-0.296790 + 0.514055i) 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} +(-7.34348 - 11.4778i) q^{93} -12.1623 q^{94} -3.19436 q^{95} +(-0.933463 - 1.45899i) 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 - 6 q^{2} + 2 q^{3} + 6 q^{4} + q^{5} - 2 q^{6} + 2 q^{7} - 6 q^{8} + 8 q^{9}+O(q^{10}) $ 6 * q - 6 * q^2 + 2 * q^3 + 6 * q^4 + q^5 - 2 * q^6 + 2 * q^7 - 6 * q^8 + 8 * q^9	\( 6 q - 6 q^{2} + 2 q^{3} + 6 q^{4} + q^{5} - 2 q^{6} + 2 q^{7} - 6 q^{8} + 8 q^{9} - q^{10} - q^{11} + 2 q^{12} + 8 q^{13} - 2 q^{14} + 12 q^{15} + 6 q^{16} - 4 q^{17} - 8 q^{18} - 3 q^{19} + q^{20} - 10 q^{21} + q^{22} - 7 q^{23} - 2 q^{24} + 2 q^{25} - 8 q^{26} - 7 q^{27} + 2 q^{28} - 5 q^{29} - 12 q^{30} - 40 q^{31} - 6 q^{32} - 3 q^{33} + 4 q^{34} - 13 q^{35} + 8 q^{36} + 3 q^{37} + 3 q^{38} - 5 q^{39} - q^{40} + 10 q^{42} - 6 q^{43} - q^{44} + 9 q^{45} + 7 q^{46} + 18 q^{47} + 2 q^{48} + 12 q^{49} - 2 q^{50} + 6 q^{51} + 8 q^{52} + 15 q^{53} + 7 q^{54} - 26 q^{55} - 2 q^{56} + 22 q^{57} + 5 q^{58} + 28 q^{59} + 12 q^{60} - 16 q^{61} + 40 q^{62} - 31 q^{63} + 6 q^{64} + 24 q^{65} + 3 q^{66} - 2 q^{67} - 4 q^{68} + 3 q^{69} + 13 q^{70} + 14 q^{71} - 8 q^{72} + 19 q^{73} - 3 q^{74} + 8 q^{75} - 3 q^{76} + 10 q^{77} + 5 q^{78} - 10 q^{79} + q^{80} + 8 q^{81} + 2 q^{83} - 10 q^{84} - 2 q^{85} + 6 q^{86} - 27 q^{87} + q^{88} - 9 q^{89} - 9 q^{90} - 46 q^{91} - 7 q^{92} - 38 q^{93} - 18 q^{94} + 8 q^{95} - 2 q^{96} + 28 q^{97} - 12 q^{98} - 3 q^{99}+O(q^{100}) \) 6 * q - 6 * q^2 + 2 * q^3 + 6 * q^4 + q^5 - 2 * q^6 + 2 * q^7 - 6 * q^8 + 8 * q^9 - q^10 - q^11 + 2 * q^12 + 8 * q^13 - 2 * q^14 + 12 * q^15 + 6 * q^16 - 4 * q^17 - 8 * q^18 - 3 * q^19 + q^20 - 10 * q^21 + q^22 - 7 * q^23 - 2 * q^24 + 2 * q^25 - 8 * q^26 - 7 * q^27 + 2 * q^28 - 5 * q^29 - 12 * q^30 - 40 * q^31 - 6 * q^32 - 3 * q^33 + 4 * q^34 - 13 * q^35 + 8 * q^36 + 3 * q^37 + 3 * q^38 - 5 * q^39 - q^40 + 10 * q^42 - 6 * q^43 - q^44 + 9 * q^45 + 7 * q^46 + 18 * q^47 + 2 * q^48 + 12 * q^49 - 2 * q^50 + 6 * q^51 + 8 * q^52 + 15 * q^53 + 7 * q^54 - 26 * q^55 - 2 * q^56 + 22 * q^57 + 5 * q^58 + 28 * q^59 + 12 * q^60 - 16 * q^61 + 40 * q^62 - 31 * q^63 + 6 * q^64 + 24 * q^65 + 3 * q^66 - 2 * q^67 - 4 * q^68 + 3 * q^69 + 13 * q^70 + 14 * q^71 - 8 * q^72 + 19 * q^73 - 3 * q^74 + 8 * q^75 - 3 * q^76 + 10 * q^77 + 5 * q^78 - 10 * q^79 + q^80 + 8 * q^81 + 2 * q^83 - 10 * q^84 - 2 * q^85 + 6 * q^86 - 27 * q^87 + q^88 - 9 * q^89 - 9 * q^90 - 46 * q^91 - 7 * q^92 - 38 * q^93 - 18 * q^94 + 8 * q^95 - 2 * 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 $\left(\mathbb{Z}/126\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.00000			−0.707107
$2$	−1.00000			−0.707107
$3$	0.933463	+	1.45899i	0.538935	+	0.842347i
$3$	0.933463	+	1.45899i	0.538935	+	0.842347i
$4$	1.00000			0.500000
$5$	−0.296790	−	0.514055i	−0.132728	−	0.229892i	0.791999	−	0.610522i	$-0.209040\pi$
$5$	−0.296790	−	0.514055i	−0.132728	−	0.229892i	−0.924727	+	0.380630i	$0.875707\pi$
$6$	−0.933463	−	1.45899i	−0.381085	−	0.595630i
$7$	2.32383	+	1.26483i	0.878326	+	0.478062i
$7$	2.32383	+	1.26483i	0.878326	+	0.478062i
$8$	−1.00000			−0.353553
$9$	−1.25729	+	2.72382i	−0.419098	+	0.907941i
$10$	0.296790	+	0.514055i	0.0938531	+	0.162558i
$11$	0.296790	−	0.514055i	0.0894855	−	0.154993i	−0.817808	−	0.575491i	$-0.804811\pi$
$11$	0.296790	−	0.514055i	0.0894855	−	0.154993i	0.907294	+	0.420497i	$0.138144\pi$
$12$	0.933463	+	1.45899i	0.269467	+	0.421174i
$13$	−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	$0.280047\pi$
$14$	−2.32383	−	1.26483i	−0.621070	−	0.338041i
$15$	0.472958	−	0.912864i	0.122117	−	0.235700i
$16$	1.00000			0.250000
$17$	1.46050	+	2.52967i	0.354224	+	0.613535i	0.986985	−	0.160813i	$-0.0514116\pi$
$17$	1.46050	+	2.52967i	0.354224	+	0.613535i	−0.632760	+	0.774348i	$0.718078\pi$
$18$	1.25729	−	2.72382i	0.296347	−	0.642011i
$19$	2.69076	−	4.66053i	0.617302	−	1.06920i	−0.372674	−	0.927962i	$-0.621559\pi$
$19$	2.69076	−	4.66053i	0.617302	−	1.06920i	0.989976	−	0.141236i	$-0.0451077\pi$
$20$	−0.296790	−	0.514055i	−0.0663642	−	0.114946i
$21$	0.323832	+	4.57112i	0.0706659	+	0.997500i
$22$	−0.296790	+	0.514055i	−0.0632758	+	0.109597i
$23$	−2.23025	−	3.86291i	−0.465040	−	0.805473i	0.534164	−	0.845381i	$-0.320627\pi$
$23$	−2.23025	−	3.86291i	−0.465040	−	0.805473i	−0.999203	+	0.0399086i	$0.987293\pi$
$24$	−0.933463	−	1.45899i	−0.190542	−	0.297815i
$25$	2.32383	−	4.02499i	0.464766	−	0.804999i
$26$	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	$-0.361716\pi$
$30$	−0.472958	+	0.912864i	−0.0863499	+	0.166665i
$31$	−7.86693			−1.41294			−0.706471	−	0.707742i	$-0.749714\pi$
$31$	−7.86693			−1.41294			−0.706471	+	0.707742i	$0.749714\pi$
$32$	−1.00000			−0.176777
$33$	1.02704	−	0.0468383i	0.178785	−	0.00815350i
$34$	−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	−0.821995	−	0.569495i	$-0.807139\pi$
$37$	0.500000	−	0.866025i	0.0821995	−	0.142374i	0.904194	+	0.427121i	$0.140472\pi$
$38$	−2.69076	+	4.66053i	−0.436498	+	0.756038i
$39$	−4.35087	+	0.198422i	−0.696697	+	0.0317729i
$40$	0.296790	+	0.514055i	0.0469266	+	0.0812792i
$41$	−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	$0.173461\pi$
$42$	−0.323832	−	4.57112i	−0.0499683	−	0.705339i
$43$	−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
$45$	1.77335	−	0.162084i	0.264355	−	0.0241621i
$46$	2.23025	+	3.86291i	0.328833	+	0.569555i
$47$	12.1623			1.77405			0.887023	−	0.461724i	$-0.152769\pi$
$47$	12.1623			1.77405			0.887023	+	0.461724i	$0.152769\pi$
$48$	0.933463	+	1.45899i	0.134734	+	0.210587i
$49$	3.80039	+	5.87852i	0.542913	+	0.839789i
$50$	−2.32383	+	4.02499i	−0.328639	+	0.569220i
$51$	−2.32743	+	4.49221i	−0.325905	+	0.629035i
$52$	−1.25729	+	2.17770i	−0.174355	+	0.301992i
$53$	4.02704	+	6.97504i	0.553157	+	0.958096i	0.998044	+	0.0625092i	$0.0199103\pi$
$53$	4.02704	+	6.97504i	0.553157	+	0.958096i	−0.444888	+	0.895586i	$0.646756\pi$
$54$	5.14766	−	0.708209i	0.700508	−	0.0963750i
$55$	−0.352336			−0.0475090
$56$	−2.32383	−	1.26483i	−0.310535	−	0.169021i
$57$	9.31138	−	0.424646i	1.23332	−	0.0562457i
$58$	3.09718	+	5.36447i	0.406679	+	0.704389i
$59$	8.64766			1.12583			0.562915	−	0.826515i	$-0.309680\pi$
$59$	8.64766			1.12583			0.562915	+	0.826515i	$0.309680\pi$
$60$	0.472958	−	0.912864i	0.0610586	−	0.117850i
$61$	−6.64766			−0.851146			−0.425573	−	0.904924i	$-0.639927\pi$
$61$	−6.64766			−0.851146			−0.425573	+	0.904924i	$0.639927\pi$
$62$	7.86693			0.999101
$63$	−6.36693	+	4.73944i	−0.802157	+	0.597113i
$64$	1.00000			0.125000
$65$	1.49261			0.185135
$66$	−1.02704	+	0.0468383i	−0.126420	+	0.00576540i
$67$	−1.91381			−0.233809			−0.116905	−	0.993143i	$-0.537297\pi$
$67$	−1.91381			−0.233809			−0.116905	+	0.993143i	$0.537297\pi$
$68$	1.46050	+	2.52967i	0.177112	+	0.306767i
$69$	3.55408	−	6.85980i	0.427861	−	0.825822i
$70$	0.0394951	+	1.56997i	0.00472057	+	0.187647i
$71$	−14.4107			−1.71023			−0.855117	−	0.518435i	$-0.826515\pi$
$71$	−14.4107			−1.71023			−0.855117	+	0.518435i	$0.826515\pi$
$72$	1.25729	−	2.72382i	0.148174	−	0.321006i
$73$	3.95691	+	6.85356i	0.463121	+	0.802149i	0.999115	−	0.0420732i	$-0.0133963\pi$
$73$	3.95691	+	6.85356i	0.463121	+	0.802149i	−0.535994	+	0.844222i	$0.680063\pi$
$74$	−0.500000	+	0.866025i	−0.0581238	+	0.100673i
$75$	8.04163	−	0.366739i	0.928568	−	0.0423474i
$76$	2.69076	−	4.66053i	0.308651	−	0.534599i
$77$	1.33988	−	0.819187i	0.152694	−	0.0933550i
$78$	4.35087	−	0.198422i	0.492639	−	0.0224668i
$79$	−9.24844			−1.04053			−0.520265	−	0.854005i	$-0.674167\pi$
$79$	−9.24844			−1.04053			−0.520265	+	0.854005i	$0.674167\pi$
$80$	−0.296790	−	0.514055i	−0.0331821	−	0.0574731i
$81$	−5.83842	−	6.84929i	−0.648713	−	0.761033i
$82$	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	$0.694420\pi$
$84$	0.323832	+	4.57112i	0.0353329	+	0.498750i
$85$	0.866926	−	1.50156i	0.0940313	−	0.162867i
$86$	5.58113	+	9.66679i	0.601828	+	1.04240i
$87$	4.93560	−	9.52628i	0.529152	−	1.02132i
$88$	−0.296790	+	0.514055i	−0.0316379	+	0.0547984i
$89$	−6.21780	+	10.7695i	−0.659085	+	1.14157i	0.321767	+	0.946819i	$0.395723\pi$
$89$	−6.21780	+	10.7695i	−0.659085	+	1.14157i	−0.980853	+	0.194751i	$0.937610\pi$
$90$	−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
$93$	−7.34348	−	11.4778i	−0.761484	−	1.19019i
$94$	−12.1623			−1.25444
$95$	−3.19436			−0.327734
$96$	−0.933463	−	1.45899i	−0.0952711	−	0.148907i
$97$	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
$101$	0.811379	−	1.40535i	0.0807352	−	0.139837i	−0.822831	−	0.568287i	$-0.807607\pi$
$101$	0.811379	−	1.40535i	0.0807352	−	0.139837i	0.903566	+	0.428449i	$0.140940\pi$
$102$	2.32743	−	4.49221i	0.230450	−	0.444795i
$103$	−3.19076	−	5.52655i	−0.314395	−	0.544548i	0.664914	−	0.746920i	$-0.268468\pi$
$103$	−3.19076	−	5.52655i	−0.314395	−	0.544548i	−0.979309	+	0.202372i	$0.935135\pi$
$104$	1.25729	−	2.17770i	0.123288	−	0.213541i
$105$	2.25370	−	1.52313i	0.219938	−	0.148642i
$106$	−4.02704	−	6.97504i	−0.391141	−	0.677476i
$107$	9.35447	−	16.2024i	0.904331	−	1.56635i	0.0825182	−	0.996590i	$-0.473704\pi$
$107$	9.35447	−	16.2024i	0.904331	−	1.56635i	0.821813	−	0.569758i	$-0.192963\pi$
$108$	−5.14766	+	0.708209i	−0.495334	+	0.0681474i
$109$	−1.43346	−	2.48283i	−0.137301	−	0.237812i	0.789173	−	0.614171i	$-0.210509\pi$
$109$	−1.43346	−	2.48283i	−0.137301	−	0.237812i	−0.926474	+	0.376359i	$0.877176\pi$
$110$	0.352336			0.0335940
$111$	1.73025	−	0.0789082i	0.164228	−	0.00748964i
$112$	2.32383	+	1.26483i	0.219581	+	0.119516i
$113$	−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	$0.969916\pi$
$114$	−9.31138	+	0.424646i	−0.872091	+	0.0397717i
$115$	−1.32383	+	2.29294i	−0.123448	+	0.213818i
$116$	−3.09718	−	5.36447i	−0.287566	−	0.498078i
$117$	−4.35087	−	6.16266i	−0.402238	−	0.569738i
$118$	−8.64766			−0.796082
$119$	0.194356	+	7.72582i	0.0178166	+	0.708225i
$120$	−0.472958	+	0.912864i	−0.0431750	+	0.0833327i
$121$	5.32383	+	9.22115i	0.483985	+	0.838286i
$122$	6.64766			0.601851
$123$	−0.472958	+	0.0215693i	−0.0426452	+	0.00194484i
$124$	−7.86693			−0.706471
$125$	−5.72665			−0.512207
$126$	6.36693	−	4.73944i	0.567211	−	0.422223i
$127$	12.3346			1.09452			0.547261	−	0.836962i	$-0.315671\pi$
$127$	12.3346			1.09452			0.547261	+	0.836962i	$0.315671\pi$
$128$	−1.00000			−0.0883883
$129$	8.89397	−	17.1664i	0.783070	−	1.51142i
$130$	−1.49261			−0.130910
$131$	0.593579	+	1.02811i	0.0518613	+	0.0898264i	0.890791	−	0.454414i	$-0.150151\pi$
$131$	0.593579	+	1.02811i	0.0518613	+	0.0898264i	−0.838929	+	0.544240i	$0.816818\pi$
$132$	1.02704	−	0.0468383i	0.0893925	−	0.00407675i
$133$	12.1477	−	7.42692i	1.05334	−	0.643996i
$134$	1.91381			0.165328
$135$	1.89183	+	2.43599i	0.162823	+	0.209657i
$136$	−1.46050	−	2.52967i	−0.125237	−	0.216917i
$137$	−1.26089	+	2.18393i	−0.107725	+	0.186586i	−0.914848	−	0.403797i	$-0.867690\pi$
$137$	−1.26089	+	2.18393i	−0.107725	+	0.186586i	0.807123	+	0.590383i	$0.201023\pi$
$138$	−3.55408	+	6.85980i	−0.302544	+	0.583945i
$139$	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	$0.0998437\pi$
$140$	−0.0394951	−	1.56997i	−0.00333795	−	0.132686i
$141$	11.3530	+	17.7446i	0.956096	+	1.49436i
$142$	14.4107			1.20932
$143$	0.746304	+	1.29264i	0.0624091	+	0.108096i
$144$	−1.25729	+	2.72382i	−0.104775	+	0.226985i
$145$	−1.83842	+	3.18424i	−0.152673	+	0.264437i
$146$	−3.95691	−	6.85356i	−0.327476	−	0.567205i
$147$	−5.02918	+	11.0321i	−0.414800	+	0.909913i
$148$	0.500000	−	0.866025i	0.0410997	−	0.0711868i
$149$	−9.02558	−	15.6328i	−0.739404	−	1.28069i	−0.952764	−	0.303712i	$-0.901774\pi$
$149$	−9.02558	−	15.6328i	−0.739404	−	1.28069i	0.213360	−	0.976974i	$-0.431559\pi$
$150$	−8.04163	+	0.366739i	−0.656596	+	0.0299441i
$151$	−0.823832	+	1.42692i	−0.0670425	+	0.116121i	−0.897598	−	0.440815i	$-0.854690\pi$
$151$	−0.823832	+	1.42692i	−0.0670425	+	0.116121i	0.830556	+	0.556936i	$0.188023\pi$
$152$	−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
$156$	−4.35087	+	0.198422i	−0.348349	+	0.0158865i
$157$	−6.60078			−0.526799			−0.263400	−	0.964687i	$-0.584844\pi$
$157$	−6.60078			−0.526799			−0.263400	+	0.964687i	$0.584844\pi$
$158$	9.24844			0.735766
$159$	−6.41741	+	12.3863i	−0.508934	+	0.982301i
$160$	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	−0.959065	−	0.283188i	$-0.908608\pi$
$163$	−2.99115	+	5.18082i	−0.234285	+	0.405793i	0.724780	+	0.688980i	$0.241941\pi$
$164$	−0.136673	+	0.236725i	−0.0106724	+	0.0184851i
$165$	−0.328893	−	0.514055i	−0.0256043	−	0.0400191i
$166$	−3.85087	−	6.66991i	−0.298886	−	0.517685i
$167$	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	$0.0734584\pi$
$168$	−0.323832	−	4.57112i	−0.0249842	−	0.352670i
$169$	3.33842	+	5.78231i	0.256802	+	0.444793i
$170$	−0.866926	+	1.50156i	−0.0664902	+	0.115164i
$171$	9.31138	+	13.1888i	0.712059	+	1.00857i
$172$	−5.58113	−	9.66679i	−0.425557	−	0.737086i
$173$	−25.6591			−1.95083			−0.975414	−	0.220381i	$-0.929270\pi$
$173$	−25.6591			−1.95083			−0.975414	+	0.220381i	$0.929270\pi$
$174$	−4.93560	+	9.52628i	−0.374167	+	0.722185i
$175$	10.4911	−	6.41415i	0.793056	−	0.484864i
$176$	0.296790	−	0.514055i	0.0223714	−	0.0387483i
$177$	8.07227	+	12.6168i	0.606749	+	0.948340i
$178$	6.21780	−	10.7695i	0.466044	−	0.807211i
$179$	7.51819	+	13.0219i	0.561936	+	0.973301i	0.997328	+	0.0730602i	$0.0232765\pi$
$179$	7.51819	+	13.0219i	0.561936	+	0.973301i	−0.435392	+	0.900241i	$0.643390\pi$
$180$	1.77335	−	0.162084i	0.132177	−	0.0120810i
$181$	−0.0861875			−0.00640627			−0.00320313	−	0.999995i	$-0.501020\pi$
$181$	−0.0861875			−0.00640627			−0.00320313	+	0.999995i	$0.501020\pi$
$182$	5.67617	−	3.47033i	0.420746	−	0.257238i
$183$	−6.20535	−	9.69886i	−0.458712	−	0.716961i
$184$	2.23025	+	3.86291i	0.164416	+	0.284778i
$185$	−0.593579			−0.0436408
$186$	7.34348	+	11.4778i	0.538450	+	0.841590i
$187$	1.73385			0.126792
$188$	12.1623			0.887023
$189$	−12.8581	−	4.86518i	−0.935287	−	0.353890i
$190$	3.19436			0.231743
$191$	3.98229			0.288148			0.144074	−	0.989567i	$-0.453980\pi$
$191$	3.98229			0.288148			0.144074	+	0.989567i	$0.453980\pi$
$192$	0.933463	+	1.45899i	0.0673669	+	0.105293i
$193$	6.78074			0.488088			0.244044	−	0.969764i	$-0.421526\pi$
$193$	6.78074			0.488088			0.244044	+	0.969764i	$0.421526\pi$
$194$	−5.86693	−	10.1618i	−0.421221	−	0.729576i
$195$	1.39329	+	2.17770i	0.0997759	+	0.155948i
$196$	3.80039	+	5.87852i	0.271456	+	0.419895i
$197$	11.0584			0.787875			0.393938	−	0.919137i	$-0.371113\pi$
$197$	11.0584			0.787875			0.393938	+	0.919137i	$0.371113\pi$
$198$	−1.02704	−	1.45472i	−0.0729887	−	0.103383i
$199$	2.80924	+	4.86575i	0.199142	+	0.344924i	0.948250	−	0.317523i	$-0.102851\pi$
$199$	2.80924	+	4.86575i	0.199142	+	0.344924i	−0.749109	+	0.662447i	$0.769518\pi$
$200$	−2.32383	+	4.02499i	−0.164320	+	0.284610i
$201$	−1.78647	−	2.79223i	−0.126008	−	0.196949i
$202$	−0.811379	+	1.40535i	−0.0570884	+	0.0988800i
$203$	−0.412155	−	16.3835i	−0.0289276	−	1.14990i
$204$	−2.32743	+	4.49221i	−0.162953	+	0.314518i
$205$	0.162253			0.0113322
$206$	3.19076	+	5.52655i	0.222311	+	0.385053i
$207$	13.3260	−	1.21800i	0.926219	−	0.0846566i
$208$	−1.25729	+	2.17770i	−0.0871777	+	0.150996i
$209$	−1.59718	−	2.76639i	−0.110479	−	0.191355i
$210$	−2.25370	+	1.52313i	−0.155520	+	0.105106i
$211$	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	$-0.0649772\pi$
$212$	4.02704	+	6.97504i	0.276578	+	0.479048i
$213$	−13.4518	−	21.0250i	−0.921705	−	1.44061i
$214$	−9.35447	+	16.2024i	−0.639459	+	1.10757i
$215$	−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
$219$	−6.30564	+	12.1706i	−0.426096	+	0.822415i
$220$	−0.352336			−0.0237545
$221$	−7.34514			−0.494088
$222$	−1.73025	+	0.0789082i	−0.116127	+	0.00529597i
$223$	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
$227$	−2.40856	+	4.17174i	−0.159862	+	0.276888i	−0.934819	−	0.355126i	$-0.884438\pi$
$227$	−2.40856	+	4.17174i	−0.159862	+	0.276888i	0.774957	+	0.632014i	$0.217771\pi$
$228$	9.31138	−	0.424646i	0.616661	−	0.0281229i
$229$	4.64766	+	8.04999i	0.307126	+	0.531958i	0.977732	−	0.209855i	$-0.0672993\pi$
$229$	4.64766	+	8.04999i	0.307126	+	0.531958i	−0.670606	+	0.741814i	$0.733966\pi$
$230$	1.32383	−	2.29294i	0.0872909	−	0.151192i
$231$	2.44592	+	1.19019i	0.160929	+	0.0783090i
$232$	3.09718	+	5.36447i	0.203340	+	0.352195i
$233$	0.0971780	−	0.168317i	0.00636634	−	0.0110268i	−0.862825	−	0.505503i	$-0.831307\pi$
$233$	0.0971780	−	0.168317i	0.00636634	−	0.0110268i	0.869191	+	0.494476i	$0.164640\pi$
$234$	4.35087	+	6.16266i	0.284426	+	0.402865i
$235$	−3.60963	−	6.25206i	−0.235466	−	0.407840i
$236$	8.64766			0.562915
$237$	−8.63307	−	13.4934i	−0.560778	−	0.876488i
$238$	−0.194356	−	7.72582i	−0.0125982	−	0.500791i
$239$	−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	$0.312266\pi$
$240$	0.472958	−	0.912864i	0.0305293	−	0.0589251i
$241$	6.50000	−	11.2583i	0.418702	−	0.725213i	−0.577107	−	0.816668i	$-0.695819\pi$
$241$	6.50000	−	11.2583i	0.418702	−	0.725213i	0.995809	+	0.0914555i	$0.0291519\pi$
$242$	−5.32383	−	9.22115i	−0.342229	−	0.592758i
$243$	4.54309	−	14.9118i	0.291440	−	0.956589i
$244$	−6.64766			−0.425573
$245$	1.89397	−	3.69829i	0.121001	−	0.236275i
$246$	0.472958	−	0.0215693i	0.0301547	−	0.00137521i
$247$	6.76615	+	11.7193i	0.430520	+	0.745682i
$248$	7.86693			0.499550
$249$	−6.13667	+	11.8445i	−0.388896	+	0.750614i
$250$	5.72665			0.362185
$251$	−19.5438			−1.23359			−0.616796	−	0.787123i	$-0.711570\pi$
$251$	−19.5438			−1.23359			−0.616796	+	0.787123i	$0.711570\pi$
$252$	−6.36693	+	4.73944i	−0.401079	+	0.298556i
$253$	−2.64766			−0.166457
$254$	−12.3346			−0.773943
$255$	3.00000	−	0.136815i	0.187867	−	0.00856770i
$256$	1.00000			0.0625000
$257$	−4.16372	−	7.21177i	−0.259725	−	0.449858i	0.706443	−	0.707770i	$-0.250299\pi$
$257$	−4.16372	−	7.21177i	−0.259725	−	0.449858i	−0.966168	+	0.257912i	$0.916965\pi$
$258$	−8.89397	+	17.1664i	−0.553714	+	1.06873i
$259$	2.25729	−	1.38008i	0.140261	−	0.0857540i
$260$	1.49261			0.0925676
$261$	18.5059	−	1.69145i	1.14549	−	0.104698i
$262$	−0.593579	−	1.02811i	−0.0366715	−	0.0635168i
$263$	8.54523	−	14.8008i	0.526921	−	0.912655i	−0.472586	−	0.881284i	$-0.656680\pi$
$263$	8.54523	−	14.8008i	0.526921	−	0.912655i	0.999508	−	0.0313704i	$-0.00998713\pi$
$264$	−1.02704	+	0.0468383i	−0.0632101	+	0.00288270i
$265$	2.39037	−	4.14024i	0.146839	−	0.254333i
$266$	−12.1477	+	7.42692i	−0.744821	+	0.455374i
$267$	−21.5167	+	0.981271i	−1.31680	+	0.0600528i
$268$	−1.91381			−0.116905
$269$	−5.00720	−	8.67272i	−0.305294	−	0.528785i	0.672033	−	0.740522i	$-0.265421\pi$
$269$	−5.00720	−	8.67272i	−0.305294	−	0.528785i	−0.977327	+	0.211737i	$0.932088\pi$
$270$	−1.89183	−	2.43599i	−0.115133	−	0.148250i
$271$	5.10457	−	8.84137i	0.310081	−	0.537075i	−0.668299	−	0.743893i	$-0.732977\pi$
$271$	5.10457	−	8.84137i	0.310081	−	0.537075i	0.978380	+	0.206818i	$0.0663106\pi$
$272$	1.46050	+	2.52967i	0.0885561	+	0.153384i
$273$	−10.3617	−	5.04204i	−0.627117	−	0.305158i
$274$	1.26089	−	2.18393i	0.0761733	−	0.131936i
$275$	−1.37938	−	2.38915i	−0.0831797	−	0.144071i
$276$	3.55408	−	6.85980i	0.213931	−	0.412911i
$277$	−9.67111	+	16.7508i	−0.581081	+	1.00646i	0.414271	+	0.910154i	$0.364037\pi$
$277$	−9.67111	+	16.7508i	−0.581081	+	1.00646i	−0.995352	+	0.0963074i	$0.969297\pi$
$278$	−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	$0.958054\pi$
$282$	−11.3530	−	17.7446i	−0.676062	−	1.05667i
$283$	−16.3523			−0.972046			−0.486023	−	0.873946i	$-0.661553\pi$
$283$	−16.3523			−0.972046			−0.486023	+	0.873946i	$0.661553\pi$
$284$	−14.4107			−0.855117
$285$	−2.98181	−	4.66053i	−0.176627	−	0.276066i
$286$	−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
$290$	1.83842	−	3.18424i	0.107956	−	0.186985i
$291$	−9.34941	+	18.0455i	−0.548072	+	1.05784i
$292$	3.95691	+	6.85356i	0.231560	+	0.401074i
$293$	−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	$0.959069\pi$
$294$	5.02918	−	11.0321i	0.293308	−	0.643405i
$295$	−2.56654	−	4.44537i	−0.149430	−	0.258820i
$296$	−0.500000	+	0.866025i	−0.0290619	+	0.0503367i
$297$	−1.16372	+	2.85637i	−0.0675256	+	0.165743i
$298$	9.02558	+	15.6328i	0.522838	+	0.905582i
$299$	11.2163			0.648658
$300$	8.04163	−	0.366739i	0.464284	−	0.0211737i
$301$	−0.742705	−	29.5232i	−0.0428088	−	1.70169i
$302$	0.823832	−	1.42692i	0.0474062	−	0.0821099i
$303$	2.80778	−	0.128049i	0.161303	−	0.00735622i
$304$	2.69076	−	4.66053i	0.154326	−	0.267300i
$305$	1.97296	+	3.41726i	0.112971	+	0.195672i
$306$	8.72665	−	0.797618i	0.498870	−	0.0455968i
$307$	−22.6768			−1.29424			−0.647118	−	0.762390i	$-0.724026\pi$
$307$	−22.6768			−1.29424			−0.647118	+	0.762390i	$0.724026\pi$
$308$	1.33988	−	0.819187i	0.0763469	−	0.0466775i
$309$	5.08472	−	9.81411i	0.289260	−	0.558305i
$310$	−2.33482	−	4.04403i	−0.132609	−	0.229686i
$311$	−6.51459			−0.369408			−0.184704	−	0.982794i	$-0.559133\pi$
$311$	−6.51459			−0.369408			−0.184704	+	0.982794i	$0.559133\pi$
$312$	4.35087	−	0.198422i	0.246320	−	0.0112334i
$313$	0.266149			0.0150436			0.00752181	−	0.999972i	$-0.497606\pi$
$313$	0.266149			0.0150436			0.00752181	+	0.999972i	$0.497606\pi$
$314$	6.60078			0.372503
$315$	4.32597	+	1.86633i	0.243741	+	0.105156i
$316$	−9.24844			−0.520265
$317$	15.7237			0.883133			0.441566	−	0.897229i	$-0.354423\pi$
$317$	15.7237			0.883133			0.441566	+	0.897229i	$0.354423\pi$
$318$	6.41741	−	12.3863i	0.359871	−	0.694592i
$319$	−3.67684			−0.205864
$320$	−0.296790	−	0.514055i	−0.0165910	−	0.0287365i
$321$	32.3712	−	1.47629i	1.80678	−	0.0823985i
$322$	0.296790	+	11.7977i	0.0165394	+	0.657458i
$323$	15.7195			0.874654
$324$	−5.83842	−	6.84929i	−0.324357	−	0.380516i
$325$	5.84348	+	10.1212i	0.324138	+	0.561424i
$326$	2.99115	−	5.18082i	0.165664	−	0.286939i
$327$	2.28434	−	4.40904i	0.126324	−	0.243820i
$328$	0.136673	−	0.236725i	0.00754651	−	0.0130709i
$329$	28.2630	+	15.3832i	1.55819	+	0.848105i
$330$	0.328893	+	0.514055i	0.0181050	+	0.0282978i
$331$	−25.1623			−1.38304			−0.691521	−	0.722356i	$-0.743059\pi$
$331$	−25.1623			−1.38304			−0.691521	+	0.722356i	$0.743059\pi$
$332$	3.85087	+	6.66991i	0.211344	+	0.366059i
$333$	1.73025	+	2.45076i	0.0948172	+	0.134301i
$334$	−3.73025	+	6.46099i	−0.204110	+	0.353529i
$335$	0.568000	+	0.983804i	0.0310331	+	0.0537510i
$336$	0.323832	+	4.57112i	0.0176665	+	0.249375i
$337$	−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	$0.996220\pi$
$338$	−3.33842	−	5.78231i	−0.181586	−	0.314516i
$339$	−21.3171	+	0.972168i	−1.15779	+	0.0528009i
$340$	0.866926	−	1.50156i	0.0470156	−	0.0814335i
$341$	−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
$345$	−4.58113	+	0.208922i	−0.246640	+	0.0112480i
$346$	25.6591			1.37944
$347$	22.5438			1.21021			0.605106	−	0.796145i	$-0.293131\pi$
$347$	22.5438			1.21021			0.605106	+	0.796145i	$0.293131\pi$
$348$	4.93560	−	9.52628i	0.264576	−	0.510662i
$349$	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
$353$	−3.41741	+	5.91913i	−0.181890	+	0.315043i	−0.942524	−	0.334138i	$-0.891555\pi$
$353$	−3.41741	+	5.91913i	−0.181890	+	0.315043i	0.760634	+	0.649181i	$0.224888\pi$
$354$	−8.07227	−	12.6168i	−0.429036	−	0.670578i
$355$	4.27694	+	7.40789i	0.226997	+	0.393170i
$356$	−6.21780	+	10.7695i	−0.329543	+	0.570785i
$357$	−11.0905	+	7.49533i	−0.586969	+	0.396695i
$358$	−7.51819	−	13.0219i	−0.397349	−	0.688228i
$359$	−6.32237	+	10.9507i	−0.333682	+	0.577954i	−0.983231	−	0.182366i	$-0.941624\pi$
$359$	−6.32237	+	10.9507i	−0.333682	+	0.577954i	0.649549	+	0.760320i	$0.274958\pi$
$360$	−1.77335	+	0.162084i	−0.0934636	+	0.00854259i
$361$	−4.98035	−	8.62622i	−0.262124	−	0.454012i
$362$	0.0861875			0.00452991
$363$	−8.48395	+	16.3750i	−0.445292	+	0.859465i
$364$	−5.67617	+	3.47033i	−0.297512	+	0.181895i
$365$	2.34874	−	4.06813i	0.122939	−	0.212936i
$366$	6.20535	+	9.69886i	0.324359	+	0.506968i
$367$	−3.27188	+	5.66707i	−0.170791	+	0.295819i	−0.938697	−	0.344744i	$-0.887966\pi$
$367$	−3.27188	+	5.66707i	−0.170791	+	0.295819i	0.767906	+	0.640563i	$0.221299\pi$
$368$	−2.23025	−	3.86291i	−0.116260	−	0.201368i
$369$	−0.472958	−	0.669906i	−0.0246212	−	0.0348739i
$370$	0.593579			0.0308587
$371$	0.535897	+	21.3024i	0.0278224	+	1.10596i
$372$	−7.34348	−	11.4778i	−0.380742	−	0.595094i
$373$	−4.71420	−	8.16524i	−0.244092	−	0.422780i	0.717784	−	0.696266i	$-0.245157\pi$
$373$	−4.71420	−	8.16524i	−0.244092	−	0.422780i	−0.961876	+	0.273486i	$0.911823\pi$
$374$	−1.73385			−0.0896553
$375$	−5.34562	−	8.35512i	−0.276047	−	0.431457i
$376$	−12.1623			−0.627220
$377$	15.5763			0.802218
$378$	12.8581	+	4.86518i	0.661348	+	0.250238i
$379$	−7.27762			−0.373826			−0.186913	−	0.982376i	$-0.559848\pi$
$379$	−7.27762			−0.373826			−0.186913	+	0.982376i	$0.559848\pi$
$380$	−3.19436			−0.163867
$381$	11.5139	+	17.9961i	0.589876	+	0.921967i
$382$	−3.98229			−0.203752
$383$	12.0416	+	20.8567i	0.615299	+	1.06573i	0.990332	+	0.138717i	$0.0442979\pi$
$383$	12.0416	+	20.8567i	0.615299	+	1.06573i	−0.375033	+	0.927011i	$0.622369\pi$
$384$	−0.933463	−	1.45899i	−0.0476356	−	0.0744537i
$385$	−0.818771	−	0.445647i	−0.0417284	−	0.0227123i
$386$	−6.78074			−0.345130
$387$	33.3478	−	3.04799i	1.69516	−	0.154938i
$388$	5.86693	+	10.1618i	0.297848	+	0.515888i
$389$	8.14913	−	14.1147i	0.413177	−	0.715644i	−0.582058	−	0.813147i	$-0.697752\pi$
$389$	8.14913	−	14.1147i	0.413177	−	0.715644i	0.995235	+	0.0975035i	$0.0310857\pi$
$390$	−1.39329	−	2.17770i	−0.0705522	−	0.110272i
$391$	6.51459	−	11.2836i	0.329457	−	0.570636i
$392$	−3.80039	−	5.87852i	−0.191949	−	0.296910i
$393$	−0.945916	+	1.82573i	−0.0477151	+	0.0920958i
$394$	−11.0584			−0.557112
$395$	2.74484	+	4.75420i	0.138108	+	0.239210i
$396$	1.02704	+	1.45472i	0.0516108	+	0.0731025i
$397$	−6.08619	+	10.5416i	−0.305457	+	0.529067i	−0.977363	−	0.211569i	$-0.932143\pi$
$397$	−6.08619	+	10.5416i	−0.305457	+	0.529067i	0.671906	+	0.740636i	$0.265476\pi$
$398$	−2.80924	−	4.86575i	−0.140815	−	0.243898i
$399$	22.1752	+	10.7905i	1.11015	+	0.540203i
$400$	2.32383	−	4.02499i	0.116192	−	0.201250i
$401$	16.6804	+	28.8914i	0.832981	+	1.44277i	0.895663	+	0.444733i	$0.146701\pi$
$401$	16.6804	+	28.8914i	0.832981	+	1.44277i	−0.0626819	+	0.998034i	$0.519965\pi$
$402$	1.78647	+	2.79223i	0.0891012	+	0.139264i
$403$	9.89104	−	17.1318i	0.492708	−	0.853395i
$404$	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
$408$	2.32743	−	4.49221i	0.115225	−	0.222398i
$409$	−5.78074			−0.285839			−0.142920	−	0.989734i	$-0.545649\pi$
$409$	−5.78074			−0.285839			−0.142920	+	0.989734i	$0.545649\pi$
$410$	−0.162253			−0.00801309
$411$	−4.36333	+	0.198990i	−0.215227	+	0.00981544i
$412$	−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
$416$	1.25729	−	2.17770i	0.0616439	−	0.106770i
$417$	8.50214	−	0.387740i	0.416351	−	0.0189877i
$418$	1.59718	+	2.76639i	0.0781205	+	0.135309i
$419$	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	$-0.105249\pi$
$420$	2.25370	−	1.52313i	0.109969	−	0.0743211i
$421$	−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
$423$	−15.2915	+	33.1278i	−0.743500	+	1.61073i
$424$	−4.02704	−	6.97504i	−0.195570	−	0.338738i
$425$	13.5759			0.658526
$426$	13.4518	+	21.0250i	0.651744	+	1.01867i
$427$	−15.4481	−	8.40819i	−0.747584	−	0.406901i
$428$	9.35447	−	16.2024i	0.452165	−	0.783174i
$429$	−1.18929	+	2.29548i	−0.0574197	+	0.110827i
$430$	3.31284	−	5.73801i	0.159759	−	0.276711i
$431$	−14.0979	−	24.4182i	−0.679070	−	1.17618i	−0.975261	−	0.221055i	$-0.929050\pi$
$431$	−14.0979	−	24.4182i	−0.679070	−	1.17618i	0.296192	−	0.955128i	$-0.404283\pi$
$432$	−5.14766	+	0.708209i	−0.247667	+	0.0340737i
$433$	12.5438			0.602815			0.301407	−	0.953495i	$-0.402544\pi$
$433$	12.5438			0.602815			0.301407	+	0.953495i	$0.402544\pi$
$434$	18.2814	+	9.95036i	0.877536	+	0.477632i
$435$	−6.36186	+	0.290133i	−0.305028	+	0.0139108i
$436$	−1.43346	−	2.48283i	−0.0686504	−	0.118906i
$437$	−24.0043			−1.14828
$438$	6.30564	−	12.1706i	0.301295	−	0.581535i
$439$	26.0406			1.24285			0.621426	−	0.783473i	$-0.286554\pi$
$439$	26.0406			1.24285			0.621426	+	0.783473i	$0.286554\pi$
$440$	0.352336			0.0167970
$441$	−20.7903	+	2.96055i	−0.990013	+	0.140978i
$442$	7.34514			0.349373
$443$	−23.5729			−1.11998			−0.559992	−	0.828498i	$-0.689196\pi$
$443$	−23.5729			−1.11998			−0.559992	+	0.828498i	$0.689196\pi$
$444$	1.73025	−	0.0789082i	0.0821141	−	0.00374482i
$445$	7.38151			0.349917
$446$	−12.6623	−	21.9317i	−0.599575	−	1.03849i
$447$	14.3830	−	27.7608i	0.680291	−	1.31304i
$448$	2.32383	+	1.26483i	0.109791	+	0.0597578i
$449$	13.6870			0.645928			0.322964	−	0.946411i	$-0.395321\pi$
$449$	13.6870			0.645928			0.322964	+	0.946411i	$0.395321\pi$
$450$	−8.04163	−	11.3903i	−0.379086	−	0.536944i
$451$	0.0811263	+	0.140515i	0.00382009	+	0.00661659i
$452$	−6.16012	+	10.6696i	−0.289748	+	0.501857i
$453$	−2.85087	+	0.130014i	−0.133946	+	0.00610860i
$454$	2.40856	−	4.17174i	0.113039	−	0.195790i
$455$	3.46857	+	1.88790i	0.162609	+	0.0885062i
$456$	−9.31138	+	0.424646i	−0.436045	+	0.0198859i
$457$	−22.3523			−1.04560			−0.522799	−	0.852456i	$-0.675112\pi$
$457$	−22.3523			−1.04560			−0.522799	+	0.852456i	$0.675112\pi$
$458$	−4.64766	−	8.04999i	−0.217171	−	0.376151i
$459$	−9.30972	−	11.9875i	−0.434541	−	0.559530i
$460$	−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	$0.892795\pi$
$462$	−2.44592	−	1.19019i	−0.113794	−	0.0553728i
$463$	−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	$0.933937\pi$
$464$	−3.09718	−	5.36447i	−0.143783	−	0.249039i
$465$	−3.72072	+	7.18143i	−0.172544	+	0.333031i
$466$	−0.0971780	+	0.168317i	−0.00450168	+	0.00779714i
$467$	16.7829	−	29.0688i	0.776619	−	1.34514i	−0.157261	−	0.987557i	$-0.550267\pi$
$467$	16.7829	−	29.0688i	0.776619	−	1.34514i	0.933880	−	0.357586i	$-0.116400\pi$
$468$	−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
$471$	−6.16158	−	9.63046i	−0.283911	−	0.443748i
$472$	−8.64766			−0.398041
$473$	−6.62568			−0.304649
$474$	8.63307	+	13.4934i	0.396530	+	0.619771i
$475$	−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
$479$	−0.183560	+	0.317935i	−0.00838707	+	0.0145268i	−0.870188	−	0.492719i	$-0.836003\pi$
$479$	−0.183560	+	0.317935i	−0.00838707	+	0.0145268i	0.861801	+	0.507246i	$0.169336\pi$
$480$	−0.472958	+	0.912864i	−0.0215875	+	0.0416663i
$481$	1.25729	+	2.17770i	0.0573277	+	0.0992945i
$482$	−6.50000	+	11.2583i	−0.296067	+	0.512803i
$483$	16.9356	−	11.4457i	0.770596	−	0.520797i
$484$	5.32383	+	9.22115i	0.241992	+	0.419143i
$485$	3.48249	−	6.03184i	0.158132	−	0.273892i
$486$	−4.54309	+	14.9118i	−0.206079	+	0.676411i
$487$	−14.9538	−	25.9007i	−0.677621	−	1.17367i	−0.975695	−	0.219131i	$-0.929678\pi$
$487$	−14.9538	−	25.9007i	−0.677621	−	1.17367i	0.298075	−	0.954543i	$-0.403656\pi$
$488$	6.64766			0.300926
$489$	−10.3509	+	0.472052i	−0.468083	+	0.0213469i
$490$	−1.89397	+	3.69829i	−0.0855607	+	0.167072i
$491$	−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	$0.170332\pi$
$492$	−0.472958	+	0.0215693i	−0.0213226	+	0.000972418i
$493$	9.04689	−	15.6697i	0.407451	−	0.705726i
$494$	−6.76615	−	11.7193i	−0.304423	−	0.527277i
$495$	0.442991	−	0.959702i	0.0199110	−	0.0431354i
$496$	−7.86693			−0.353235
$497$	−33.4880	−	18.2271i	−1.50214	−	0.817599i
$498$	6.13667	−	11.8445i	0.274991	−	0.530764i
$499$	9.50953	+	16.4710i	0.425705	+	0.737343i	0.996486	−	0.0837597i	$-0.0266928\pi$
$499$	9.50953	+	16.4710i	0.425705	+	0.737343i	−0.570781	+	0.821102i	$0.693359\pi$
$500$	−5.72665			−0.256104
$501$	12.9086	−	0.588695i	0.576712	−	0.0263010i
$502$	19.5438			0.872281
$503$	−37.7807			−1.68456			−0.842280	−	0.539040i	$-0.818787\pi$
$503$	−37.7807			−1.68456			−0.842280	+	0.539040i	$0.818787\pi$
$504$	6.36693	−	4.73944i	0.283605	−	0.211111i
$505$	−0.963235			−0.0428634
$506$	2.64766			0.117703
$507$	−5.32004	+	10.2683i	−0.236271	+	0.456031i
$508$	12.3346			0.547261
$509$	5.60817	+	9.71363i	0.248578	+	0.430549i	0.963131	−	0.269031i	$-0.0867035\pi$
$509$	5.60817	+	9.71363i	0.248578	+	0.430549i	−0.714554	+	0.699581i	$0.753370\pi$
$510$	−3.00000	+	0.136815i	−0.132842	+	0.00605828i
$511$	0.526563	+	20.9314i	0.0232938	+	0.925949i
$512$	−1.00000			−0.0441942
$513$	−10.5505	+	25.8965i	−0.465815	+	1.14336i
$514$	4.16372	+	7.21177i	0.183654	+	0.318097i
$515$	−1.89397	+	3.28045i	−0.0834582	+	0.144554i
$516$	8.89397	−	17.1664i	0.391535	−	0.755708i
$517$	3.60963	−	6.25206i	0.158751	−	0.274965i
$518$	−2.25729	+	1.38008i	−0.0991798	+	0.0606372i
$519$	−23.9518	−	37.4364i	−1.05137	−	1.64327i
$520$	−1.49261			−0.0654552
$521$	−13.7360	−	23.7914i	−0.601785	−	1.04232i	−0.992551	−	0.121831i	$-0.961123\pi$
$521$	−13.7360	−	23.7914i	−0.601785	−	1.04232i	0.390766	−	0.920490i	$-0.372210\pi$
$522$	−18.5059	+	1.69145i	−0.809983	+	0.0740326i
$523$	11.0919	−	19.2118i	0.485016	−	0.840072i	−0.514836	−	0.857289i	$-0.672147\pi$
$523$	11.0919	−	19.2118i	0.485016	−	0.840072i	0.999852	+	0.0172166i	$0.00548048\pi$
$524$	0.593579	+	1.02811i	0.0259306	+	0.0449132i
$525$	19.1513	+	9.31909i	0.835830	+	0.406718i
$526$	−8.54523	+	14.8008i	−0.372590	+	0.645344i
$527$	−11.4897	−	19.9007i	−0.500498	−	0.866889i
$528$	1.02704	−	0.0468383i	0.0446963	−	0.00203838i
$529$	1.55195	−	2.68805i	0.0674760	−	0.116872i
$530$	−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
$534$	21.5167	−	0.981271i	0.931120	−	0.0424638i
$535$	−11.1052			−0.480122
$536$	1.91381			0.0826641
$537$	−11.9808	+	23.1244i	−0.517011	+	0.997891i
$538$	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	−0.343403	−	0.939188i	$-0.611580\pi$
$541$	14.9246	−	25.8502i	0.641659	−	1.11139i	0.985062	−	0.172198i	$-0.0550869\pi$
$542$	−5.10457	+	8.84137i	−0.219260	+	0.379770i
$543$	−0.0804528	−	0.125747i	−0.00345256	−	0.00539630i
$544$	−1.46050	−	2.52967i	−0.0626186	−	0.108459i
$545$	−0.850874	+	1.47376i	−0.0364474	+	0.0631288i
$546$	10.3617	+	5.04204i	0.443439	+	0.215779i
$547$	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
$549$	8.35807	−	18.1071i	0.356714	−	0.772790i
$550$	1.37938	+	2.38915i	0.0588169	+	0.101874i
$551$	−33.3350			−1.42012
$552$	−3.55408	+	6.85980i	−0.151272	+	0.291972i
$553$	−21.4918	−	11.6977i	−0.913925	−	0.497439i
$554$	9.67111	−	16.7508i	0.410886	−	0.711675i
$555$	−0.554084	−	0.866025i	−0.0235196	−	0.0367607i
$556$	2.45691	−	4.25549i	0.104196	−	0.180473i
$557$	15.0651	+	26.0935i	0.638328	+	1.10562i	0.985800	+	0.167926i	$0.0537069\pi$
$557$	15.0651	+	26.0935i	0.638328	+	1.10562i	−0.347472	+	0.937690i	$0.612960\pi$
$558$	−9.89104	+	21.4281i	−0.418721	+	0.907124i
$559$	28.0685			1.18717
$560$	−0.0394951	−	1.56997i	−0.00166897	−	0.0663432i
$561$	1.61849	+	2.52967i	0.0683325	+	0.106803i
$562$	6.40136	+	11.0875i	0.270025	+	0.467697i
$563$	4.09766			0.172696			0.0863478	−	0.996265i	$-0.472480\pi$
$563$	4.09766			0.172696			0.0863478	+	0.996265i	$0.472480\pi$
$564$	11.3530	+	17.7446i	0.478048	+	0.747182i
$565$	7.31304			0.307662
$566$	16.3523			0.687340
$567$	−4.90428	−	23.3012i	−0.205961	−	0.978560i
$568$	14.4107			0.604659
$569$	6.23697			0.261467			0.130734	−	0.991418i	$-0.458267\pi$
$569$	6.23697			0.261467			0.130734	+	0.991418i	$0.458267\pi$
$570$	2.98181	+	4.66053i	0.124894	+	0.195208i
$571$	35.6021			1.48990			0.744951	−	0.667119i	$-0.232473\pi$
$571$	35.6021			1.48990			0.744951	+	0.667119i	$0.232473\pi$
$572$	0.746304	+	1.29264i	0.0312045	+	0.0540479i
$573$	3.71732	+	5.81012i	0.155293	+	0.242721i
$574$	0.617023	−	0.377240i	0.0257540	−	0.0157457i
$575$	−20.7309			−0.864539
$576$	−1.25729	+	2.72382i	−0.0523873	+	0.113493i
$577$	23.1388	+	40.0776i	0.963281	+	1.66845i	0.714164	+	0.699979i	$0.246807\pi$
$577$	23.1388	+	40.0776i	0.963281	+	1.66845i	0.249118	+	0.968473i	$0.419859\pi$
$578$	−4.23385	+	7.33325i	−0.176105	+	0.305023i
$579$	6.32957	+	9.89302i	0.263048	+	0.411140i
$580$	−1.83842	+	3.18424i	−0.0763363	+	0.132218i
$581$	0.512453	+	20.3705i	0.0212601	+	0.845109i
$582$	9.34941	−	18.0455i	0.387546	−	0.748008i
$583$	4.78074			0.197998
$584$	−3.95691	−	6.85356i	−0.163738	−	0.283602i
$585$	−1.87665	+	4.06560i	−0.0775898	+	0.168092i
$586$	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	$0.818461\pi$
$588$	−5.02918	+	11.0321i	−0.207400	+	0.454956i
$589$	−21.1680	+	36.6640i	−0.872212	+	1.51072i
$590$	2.56654	+	4.44537i	0.105663	+	0.183013i
$591$	10.3226	+	16.1340i	0.424614	+	0.663665i
$592$	0.500000	−	0.866025i	0.0205499	−	0.0355934i
$593$	23.0979	−	40.0067i	0.948515	−	1.64288i	0.199960	−	0.979804i	$-0.435919\pi$
$593$	23.0979	−	40.0067i	0.948515	−	1.64288i	0.748555	−	0.663072i	$-0.230748\pi$
$594$	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
$597$	−4.47675	+	8.64065i	−0.183221	+	0.353638i
$598$	−11.2163			−0.458670
$599$	−16.7807			−0.685642			−0.342821	−	0.939401i	$-0.611382\pi$
$599$	−16.7807			−0.685642			−0.342821	+	0.939401i	$0.611382\pi$
$600$	−8.04163	+	0.366739i	−0.328298	+	0.0149721i
$601$	−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
$605$	3.16012	−	5.47348i	0.128477	−	0.222529i
$606$	−2.80778	+	0.128049i	−0.114058	+	0.00520163i
$607$	7.21420	+	12.4954i	0.292815	+	0.507171i	0.974474	−	0.224499i	$-0.0720745\pi$
$607$	7.21420	+	12.4954i	0.292815	+	0.507171i	−0.681659	+	0.731670i	$0.738741\pi$
$608$	−2.69076	+	4.66053i	−0.109125	+	0.189009i
$609$	23.5187	−	15.8948i	0.953024	−	0.644088i
$610$	−1.97296	−	3.41726i	−0.0798827	−	0.138361i
$611$	−15.2915	+	26.4857i	−0.618629	+	1.07150i
$612$	−8.72665	+	0.797618i	−0.352754	+	0.0322418i
$613$	12.2053	+	21.1403i	0.492969	+	0.853848i	0.999967	−	0.00809942i	$-0.00257815\pi$
$613$	12.2053	+	21.1403i	0.492969	+	0.853848i	−0.506998	+	0.861947i	$0.669245\pi$
$614$	22.6768			0.915163
$615$	0.151457	+	0.236725i	0.00610733	+	0.00954566i
$616$	−1.33988	+	0.819187i	−0.0539854	+	0.0330060i
$617$	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	$-0.278350\pi$
$618$	−5.08472	+	9.81411i	−0.204538	+	0.394781i
$619$	22.3296	−	38.6759i	0.897501	−	1.55452i	0.0668227	−	0.997765i	$-0.478714\pi$
$619$	22.3296	−	38.6759i	0.897501	−	1.55452i	0.830678	−	0.556753i	$-0.187953\pi$
$620$	2.33482	+	4.04403i	0.0937687	+	0.162412i
$621$	14.2163	+	18.3055i	0.570482	+	0.734574i
$622$	6.51459			0.261211
$623$	−28.0708	+	17.1621i	−1.12463	+	0.687586i
$624$	−4.35087	+	0.198422i	−0.174174	+	0.00794323i
$625$	−9.91955	−	17.1812i	−0.396782	−	0.687246i
$626$	−0.266149			−0.0106375
$627$	2.54523	−	4.91259i	0.101647	−	0.196190i
$628$	−6.60078			−0.263400
$629$	2.92101			0.116468
$630$	−4.32597	−	1.86633i	−0.172351	−	0.0743565i
$631$	33.2852			1.32506			0.662532	−	0.749034i	$-0.269482\pi$
$631$	33.2852			1.32506			0.662532	+	0.749034i	$0.269482\pi$
$632$	9.24844			0.367883
$633$	33.4363	−	1.52486i	1.32897	−	0.0606079i
$634$	−15.7237			−0.624469
$635$	−3.66079	−	6.34067i	−0.145274	−	0.251622i
$636$	−6.41741	+	12.3863i	−0.254467	+	0.491151i
$637$	−17.5799	+	0.885061i	−0.696539	+	0.0350674i
$638$	3.67684			0.145568
$639$	18.1185	−	39.2522i	0.716756	−	1.55279i
$640$	0.296790	+	0.514055i	0.0117316	+	0.0203198i
$641$	−15.3940	+	26.6631i	−0.608025	+	1.05313i	0.383540	+	0.923524i	$0.374705\pi$
$641$	−15.3940	+	26.6631i	−0.608025	+	1.05313i	−0.991566	+	0.129606i	$0.958629\pi$
$642$	−32.3712	+	1.47629i	−1.27759	+	0.0582645i
$643$	−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	$0.984471\pi$
$644$	−0.296790	−	11.7977i	−0.0116952	−	0.464893i
$645$	−11.4641	+	0.522821i	−0.451399	+	0.0205861i
$646$	−15.7195			−0.618474
$647$	−6.63521	−	11.4925i	−0.260857	−	0.451818i	0.705613	−	0.708598i	$-0.250672\pi$
$647$	−6.63521	−	11.4925i	−0.260857	−	0.451818i	−0.966470	+	0.256780i	$0.917338\pi$
$648$	5.83842	+	6.84929i	0.229355	+	0.269066i
$649$	2.56654	−	4.44537i	0.100745	−	0.174496i
$650$	−5.84348	−	10.1212i	−0.229200	−	0.396986i
$651$	−2.54756	−	35.9607i	−0.0998468	−	1.40941i
$652$	−2.99115	+	5.18082i	−0.117142	+	0.202896i
$653$	8.57081	+	14.8451i	0.335402	+	0.580933i	0.983562	−	0.180571i	$-0.0577946\pi$
$653$	8.57081	+	14.8451i	0.335402	+	0.580933i	−0.648160	+	0.761504i	$0.724461\pi$
$654$	−2.28434	+	4.40904i	−0.0893246	+	0.172407i
$655$	0.352336	−	0.610265i	0.0137669	−	0.0238450i
$656$	−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	$0.780254\pi$
$660$	−0.328893	−	0.514055i	−0.0128021	−	0.0200096i
$661$	34.3360			1.33551			0.667757	−	0.744379i	$-0.267254\pi$
$661$	34.3360			1.33551			0.667757	+	0.744379i	$0.267254\pi$
$662$	25.1623			0.977959
$663$	−6.85641	−	10.7165i	−0.266281	−	0.416193i
$664$	−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
$668$	3.73025	−	6.46099i	0.144328	−	0.249983i
$669$	−20.1783	+	38.9465i	−0.780138	+	1.50576i
$670$	−0.568000	−	0.983804i	−0.0219437	−	0.0380077i
$671$	−1.97296	+	3.41726i	−0.0761652	+	0.131922i
$672$	−0.323832	−	4.57112i	−0.0124921	−	0.176335i
$673$	−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
$675$	−9.11177	+	22.3651i	−0.350712	+	0.860832i
$676$	3.33842	+	5.78231i	0.128401	+	0.222397i
$677$	−7.38151			−0.283695			−0.141847	−	0.989889i	$-0.545304\pi$
$677$	−7.38151			−0.283695			−0.141847	+	0.989889i	$0.545304\pi$
$678$	21.3171	−	0.972168i	0.818679	−	0.0373359i
$679$	0.780738	+	31.0350i	0.0299620	+	1.19102i
$680$	−0.866926	+	1.50156i	−0.0332451	+	0.0575822i
$681$	−8.33482	+	0.380110i	−0.319391	+	0.0145658i
$682$	2.33482	−	4.04403i	0.0894050	−	0.154854i
$683$	4.79893	+	8.31198i	0.183626	+	0.318049i	0.943113	−	0.332474i	$-0.107883\pi$
$683$	4.79893	+	8.31198i	0.183626	+	0.318049i	−0.759487	+	0.650523i	$0.774550\pi$
$684$	9.31138	+	13.1888i	0.356029	+	0.504286i
$685$	1.49688			0.0571929
$686$	−1.39610	−	18.4676i	−0.0533035	−	0.705095i
$687$	−7.40642	+	14.2953i	−0.282573	+	0.545398i
$688$	−5.58113	−	9.66679i	−0.212778	−	0.368543i
$689$	−20.2527			−0.771567
$690$	4.58113	−	0.208922i	0.174400	−	0.00795354i
$691$	−14.1445			−0.538084			−0.269042	−	0.963128i	$-0.586707\pi$
$691$	−14.1445			−0.538084			−0.269042	+	0.963128i	$0.586707\pi$
$692$	−25.6591			−0.975414
$693$	0.546692	+	4.67956i	0.0207671	+	0.177762i
$694$	−22.5438			−0.855750
$695$	−2.91674			−0.110638
$696$	−4.93560	+	9.52628i	−0.187083	+	0.361093i
$697$	−0.798447			−0.0302433
$698$	−1.89543	−	3.28298i	−0.0717431	−	0.124263i
$699$	0.336285	−	0.0153363i	0.0127195	−	0.000580072i
$700$	10.4911	−	6.41415i	0.396528	−	0.242432i
$701$	37.3753			1.41164			0.705822	−	0.708389i	$-0.250578\pi$
$701$	37.3753			1.41164			0.705822	+	0.708389i	$0.250578\pi$
$702$	−4.92986	+	12.1005i	−0.186066	+	0.456703i
$703$	−2.69076	−	4.66053i	−0.101484	−	0.175775i
$704$	0.296790	−	0.514055i	0.0111857	−	0.0193742i
$705$	5.75223	−	11.1025i	0.216642	−	0.418144i
$706$	3.41741	−	5.91913i	0.128616	−	0.222769i
$707$	3.66304	−	2.23954i	0.137763	−	0.0842264i
$708$	8.07227	+	12.6168i	0.303375	+	0.474170i
$709$	−10.4868			−0.393838			−0.196919	−	0.980420i	$-0.563094\pi$
$709$	−10.4868			−0.393838			−0.196919	+	0.980420i	$0.563094\pi$
$710$	−4.27694	−	7.40789i	−0.160511	−	0.278013i
$711$	11.6280	−	25.1911i	0.436085	−	0.944741i
$712$	6.21780	−	10.7695i	0.233022	−	0.403606i
$713$	17.5452	+	30.3892i	0.657074	+	1.13809i
$714$	11.0905	−	7.49533i	0.415050	−	0.280506i
$715$	0.442991	−	0.767282i	0.0165669	−	0.0286947i
$716$	7.51819	+	13.0219i	0.280968	+	0.486651i
$717$	−23.6264	+	1.07748i	−0.882342	+	0.0402393i
$718$	6.32237	−	10.9507i	0.235949	−	0.408675i
$719$	1.11995	−	1.93981i	0.0417670	−	0.0723426i	−0.844386	−	0.535735i	$-0.820035\pi$
$719$	1.11995	−	1.93981i	0.0417670	−	0.0723426i	0.886153	+	0.463392i	$0.153368\pi$
$720$	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
$723$	22.4933	−	1.02581i	0.836534	−	0.0381502i
$724$	−0.0861875			−0.00320313
$725$	−28.7893			−1.06921
$726$	8.48395	−	16.3750i	0.314869	−	0.607733i
$727$	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
$731$	16.3025	−	28.2368i	0.602971	−	1.04438i
$732$	−6.20535	−	9.69886i	−0.229356	−	0.358480i
$733$	−7.00953	−	12.1409i	−0.258903	−	0.448433i	0.707045	−	0.707168i	$-0.250028\pi$
$733$	−7.00953	−	12.1409i	−0.258903	−	0.448433i	−0.965948	+	0.258735i	$0.916694\pi$
$734$	3.27188	−	5.66707i	0.120767	−	0.209175i
$735$	7.16372	−	0.688942i	0.264238	−	0.0254120i
$736$	2.23025	+	3.86291i	0.0822082	+	0.142389i
$737$	−0.568000	+	0.983804i	−0.0209225	+	0.0362389i
$738$	0.472958	+	0.669906i	0.0174098	+	0.0246596i
$739$	13.3872	+	23.1874i	0.492458	+	0.852962i	0.999962	−	0.00868705i	$-0.00276521\pi$
$739$	13.3872	+	23.1874i	0.492458	+	0.852962i	−0.507504	+	0.861649i	$0.669432\pi$
$740$	−0.593579			−0.0218204
$741$	−10.7824	+	20.8113i	−0.396101	+	0.764521i
$742$	−0.535897	−	21.3024i	−0.0196734	−	0.782034i
$743$	−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	$0.225942\pi$
$744$	7.34348	+	11.4778i	0.269225	+	0.420795i
$745$	−5.35740	+	9.27928i	−0.196280	+	0.339967i
$746$	4.71420	+	8.16524i	0.172599	+	0.298951i
$747$	−23.0093	+	2.10306i	−0.841867	+	0.0769468i
$748$	1.73385			0.0633959
$749$	42.2316	−	25.8198i	1.54311	−	0.943437i
$750$	5.34562	+	8.35512i	0.195194	+	0.305086i
$751$	−5.75729	−	9.97193i	−0.210087	−	0.363881i	0.741655	−	0.670782i	$-0.234041\pi$
$751$	−5.75729	−	9.97193i	−0.210087	−	0.363881i	−0.951741	+	0.306901i	$0.900708\pi$
$752$	12.1623			0.443512
$753$	−18.2434	−	28.5141i	−0.664826	−	1.03911i
$754$	−15.5763			−0.567254
$755$	0.978019			0.0355938
$756$	−12.8581	−	4.86518i	−0.467644	−	0.176945i
$757$	−15.2484			−0.554214			−0.277107	−	0.960839i	$-0.589376\pi$
$757$	−15.2484			−0.554214			−0.277107	+	0.960839i	$0.589376\pi$
$758$	7.27762			0.264335
$759$	−2.47150	−	3.86291i	−0.0897096	−	0.140215i
$760$	3.19436			0.115871
$761$	0.850874	+	1.47376i	0.0308442	+	0.0534236i	0.881035	−	0.473050i	$-0.156847\pi$
$761$	0.850874	+	1.47376i	0.0308442	+	0.0534236i	−0.850191	+	0.526474i	$0.823514\pi$
$762$	−11.5139	−	17.9961i	−0.417105	−	0.651929i
$763$	−0.190757	−	7.58277i	−0.00690588	−	0.274515i
$764$	3.98229			0.144074
$765$	3.00000	+	4.24925i	0.108465	+	0.153632i
$766$	−12.0416	−	20.8567i	−0.435082	−	0.753584i
$767$	−10.8727	+	18.8320i	−0.392589	+	0.679984i
$768$	0.933463	+	1.45899i	0.0336834	+	0.0526467i
$769$	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	$-0.169104\pi$
$770$	0.818771	+	0.445647i	0.0295064	+	0.0160600i
$771$	6.63521	−	12.8067i	0.238961	−	0.461223i
$772$	6.78074			0.244044
$773$	3.10243	+	5.37357i	0.111587	+	0.193274i	0.916410	−	0.400240i	$-0.131073\pi$
$773$	3.10243	+	5.37357i	0.111587	+	0.193274i	−0.804823	+	0.593514i	$0.797740\pi$
$774$	−33.3478	+	3.04799i	−1.19866	+	0.109558i
$775$	−18.2814	+	31.6643i	−0.656688	+	1.13742i
$776$	−5.86693	−	10.1618i	−0.210610	−	0.364788i
$777$	4.12062	+	2.00511i	0.147826	+	0.0719330i
$778$	−8.14913	+	14.1147i	−0.292160	+	0.506037i
$779$	0.735508	+	1.27394i	0.0263523	+	0.0456436i
$780$	1.39329	+	2.17770i	0.0498879	+	0.0779741i
$781$	−4.27694	+	7.40789i	−0.153041	+	0.265075i
$782$	−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
$786$	0.945916	−	1.82573i	0.0337397	−	0.0651215i
$787$	6.09766			0.217358			0.108679	−	0.994077i	$-0.465338\pi$
$787$	6.09766			0.217358			0.108679	+	0.994077i	$0.465338\pi$
$788$	11.0584			0.393938
$789$	29.5708	−	1.34858i	1.05275	−	0.0480107i
$790$	−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
$794$	6.08619	−	10.5416i	0.215991	−	0.374107i
$795$	8.27188	−	0.377240i	0.293373	−	0.0133793i
$796$	2.80924	+	4.86575i	0.0995710	+	0.172462i
$797$	−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	$0.237477\pi$
$798$	−22.1752	−	10.7905i	−0.784993	−	0.381981i
$799$	17.7630	+	30.7665i	0.628411	+	1.08844i
$800$	−2.32383	+	4.02499i	−0.0821599	+	0.142305i
$801$	−21.5167	−	30.4767i	−0.760256	−	1.07684i
$802$	−16.6804	−	28.8914i	−0.589007	−	1.02019i
$803$	4.69748			0.165770
$804$	−1.78647	−	2.79223i	−0.0630040	−	0.0984744i
$805$	−5.97656	+	3.65399i	−0.210646	+	0.128786i
$806$	−9.89104	+	17.1318i	−0.348397	+	0.603442i
$807$	7.97937	−	15.4011i	0.280887	−	0.542145i
$808$	−0.811379	+	1.40535i	−0.0285442	+	0.0494400i
$809$	−2.81644	−	4.87822i	−0.0990208	−	0.171509i	0.812259	−	0.583297i	$-0.198238\pi$
$809$	−2.81644	−	4.87822i	−0.0990208	−	0.171509i	−0.911280	+	0.411788i	$0.864904\pi$
$810$	1.78813	−	5.03407i	0.0628285	−	0.176879i
$811$	−45.6414			−1.60269			−0.801344	−	0.598204i	$-0.795881\pi$
$811$	−45.6414			−1.60269			−0.801344	+	0.598204i	$0.795881\pi$
$812$	−0.412155	−	16.3835i	−0.0144638	−	0.574950i
$813$	17.6644	−	0.805585i	0.619517	−	0.0282531i
$814$	0.296790	+	0.514055i	0.0104025	+	0.0180176i
$815$	3.55096			0.124385
$816$	−2.32743	+	4.49221i	−0.0814764	+	0.157259i
$817$	−60.0698			−2.10158
$818$	5.78074			0.202119
$819$	−2.31596	−	19.8241i	−0.0809262	−	0.692710i
$820$	0.162253			0.00566611
$821$	32.6946			1.14105			0.570524	−	0.821281i	$-0.306740\pi$
$821$	32.6946			1.14105			0.570524	+	0.821281i	$0.306740\pi$
$822$	4.36333	−	0.198990i	0.152189	−	0.00694056i
$823$	−10.4399			−0.363911			−0.181956	−	0.983307i	$-0.558243\pi$
$823$	−10.4399			−0.363911			−0.181956	+	0.983307i	$0.558243\pi$
$824$	3.19076	+	5.52655i	0.111155	+	0.192527i
$825$	2.19815	−	4.24268i	0.0765297	−	0.147711i
$826$	−20.0957	−	10.9379i	−0.699219	−	0.380577i
$827$	16.7060			0.580925			0.290463	−	0.956886i	$-0.406191\pi$
$827$	16.7060			0.580925			0.290463	+	0.956886i	$0.406191\pi$
$828$	13.3260	−	1.21800i	0.463109	−	0.0423283i
$829$	−13.1046	−	22.6978i	−0.455141	−	0.788327i	0.543556	−	0.839373i	$-0.317078\pi$
$829$	−13.1046	−	22.6978i	−0.455141	−	0.788327i	−0.998696	+	0.0510466i	$0.983744\pi$
$830$	−2.28580	+	3.95912i	−0.0793412	+	0.137423i
$831$	−33.4669	+	1.52626i	−1.16095	+	0.0529454i
$832$	−1.25729	+	2.17770i	−0.0435888	+	0.0754981i
$833$	−9.32023	+	18.1993i	−0.322927	+	0.630570i
$834$	−8.50214	+	0.387740i	−0.294405	+	0.0134263i
$835$	−4.42840			−0.153251
$836$	−1.59718	−	2.76639i	−0.0552396	−	0.0956777i
$837$	40.4963	−	5.57143i	1.39976	−	0.192577i
$838$	−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	$0.707095\pi$
$840$	−2.25370	+	1.52313i	−0.0777599	+	0.0525529i
$841$	−4.68502	+	8.11470i	−0.161553	+	0.279817i
$842$	1.86693	+	3.23361i	0.0643385	+	0.111438i
$843$	10.2011	−	19.6893i	0.351344	−	0.678134i
$844$	9.66225	−	16.7355i	0.332588	−	0.576060i
$845$	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
$849$	−15.2643	−	23.8579i	−0.523869	−	0.818800i
$850$	−13.5759			−0.465649
$851$	−4.46050			−0.152904
$852$	−13.4518	−	21.0250i	−0.460853	−	0.720306i
$853$	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
$857$	−3.89776	+	6.75112i	−0.133145	+	0.230614i	−0.924887	−	0.380241i	$-0.875841\pi$
$857$	−3.89776	+	6.75112i	−0.133145	+	0.230614i	0.791742	+	0.610855i	$0.209174\pi$
$858$	1.18929	−	2.29548i	0.0406019	−	0.0783663i
$859$	−8.17111	−	14.1528i	−0.278795	−	0.482886i	0.692291	−	0.721619i	$-0.256602\pi$
$859$	−8.17111	−	14.1528i	−0.278795	−	0.482886i	−0.971085	+	0.238732i	$0.923268\pi$
$860$	−3.31284	+	5.73801i	−0.112967	+	0.195664i
$861$	−1.12636	−	0.548090i	−0.0383861	−	0.0186789i
$862$	14.0979	+	24.4182i	0.480175	+	0.831687i
$863$	0.730252	−	1.26483i	0.0248581	−	0.0430555i	−0.853329	−	0.521373i	$-0.825420\pi$
$863$	0.730252	−	1.26483i	0.0248581	−	0.0430555i	0.878187	+	0.478318i	$0.158753\pi$
$864$	5.14766	−	0.708209i	0.175127	−	0.0240938i
$865$	7.61537	+	13.1902i	0.258930	+	0.448480i
$866$	−12.5438			−0.426255
$867$	14.6513	−	0.668172i	0.497583	−	0.0226923i
$868$	−18.2814	−	9.95036i	−0.620512	−	0.337737i
$869$	−2.74484	+	4.75420i	−0.0931124	+	0.161275i
$870$	6.36186	−	0.290133i	0.215687	−	0.00983643i
$871$	2.40623	−	4.16771i	0.0815319	−	0.141217i
$872$	1.43346	+	2.48283i	0.0485432	+	0.0840792i
$873$	−35.0554	+	3.20407i	−1.18645	+	0.108441i
$874$	24.0043			0.811957
$875$	−13.3078	−	7.24327i	−0.449885	−	0.244867i
$876$	−6.30564	+	12.1706i	−0.213048	+	0.411207i
$877$	1.20467	+	2.08655i	0.0406789	+	0.0704579i	0.885648	−	0.464357i	$-0.153715\pi$
$877$	1.20467	+	2.08655i	0.0406789	+	0.0704579i	−0.844969	+	0.534815i	$0.820381\pi$
$878$	−26.0406			−0.878829
$879$	−35.9509	+	1.63954i	−1.21259	+	0.0553003i
$880$	−0.352336			−0.0118773
$881$	−18.9607			−0.638802			−0.319401	−	0.947620i	$-0.603482\pi$
$881$	−18.9607			−0.638802			−0.319401	+	0.947620i	$0.603482\pi$
$882$	20.7903	−	2.96055i	0.700045	−	0.0996868i
$883$	3.64008			0.122498			0.0612492	−	0.998123i	$-0.480492\pi$
$883$	3.64008			0.122498			0.0612492	+	0.998123i	$0.480492\pi$
$884$	−7.34514			−0.247044
$885$	4.08998	−	7.89414i	0.137483	−	0.265359i
$886$	23.5729			0.791949
$887$	12.2286	+	21.1805i	0.410596	+	0.711173i	0.994955	−	0.100322i	$-0.0319873\pi$
$887$	12.2286	+	21.1805i	0.410596	+	0.711173i	−0.584359	+	0.811495i	$0.698654\pi$
$888$	−1.73025	+	0.0789082i	−0.0580635	+	0.00264799i
$889$	28.6636	+	15.6013i	0.961346	+	0.523249i
$890$	−7.38151			−0.247429
$891$	−5.25370	+	0.968468i	−0.176005	+	0.0324449i
$892$	12.6623	+	21.9317i	0.423964	+	0.734326i
$893$	32.7257	−	56.6825i	1.09512	−	1.89681i
$894$	−14.3830	+	27.7608i	−0.481039	+	0.928461i
$895$	4.46264	−	7.72952i	0.149170	−	0.258369i
$896$	−2.32383	−	1.26483i	−0.0776338	−	0.0422551i
$897$	10.4700	+	16.3645i	0.349584	+	0.546395i
$898$	−13.6870			−0.456740
$899$	24.3653	+	42.2019i	0.812627	+	1.40751i
$900$	8.04163	+	11.3903i	0.268054	+	0.379677i
$901$	−11.7630	+	20.3742i	−0.391883	+	0.678762i
$902$	−0.0811263	−	0.140515i	−0.00270121	−	0.00467863i
$903$	42.3807	−	28.6424i	1.41034	−	0.953160i
$904$	6.16012	−	10.6696i	0.204882	−	0.354867i
$905$	0.0255796	+	0.0443051i	0.000850293	+	0.00147275i
$906$	2.85087	−	0.130014i	0.0947139	−	0.00431943i
$907$	−5.01838	+	8.69209i	−0.166633	+	0.288616i	−0.937234	−	0.348701i	$-0.886623\pi$
$907$	−5.01838	+	8.69209i	−0.166633	+	0.288616i	0.770601	+	0.637318i	$0.219956\pi$
$908$	−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	$0.709526\pi$
$912$	9.31138	−	0.424646i	0.308331	−	0.0140614i
$913$	4.57160			0.151298
$914$	22.3523			0.739350
$915$	−3.14406	+	6.06841i	−0.103940	+	0.200615i
$916$	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	−0.628575	−	0.777749i	$-0.716362\pi$
$919$	10.8910	−	18.8638i	0.359262	−	0.622261i	0.987838	+	0.155488i	$0.0496950\pi$
$920$	1.32383	−	2.29294i	0.0436454	−	0.0755961i
$921$	−21.1680	−	33.0852i	−0.697509	−	1.09020i
$922$	3.98755	+	6.90663i	0.131323	+	0.227458i
$923$	18.1185	−	31.3821i	0.596377	−	1.03296i
$924$	2.44592	+	1.19019i	0.0804647	+	0.0391545i
$925$	−2.32383	−	4.02499i	−0.0764071	−	0.132341i
$926$	14.3676	−	24.8854i	0.472149	−	0.817785i
$927$	19.0651	−	1.74255i	0.626179	−	0.0572329i
$928$	3.09718	+	5.36447i	0.101670	+	0.176097i
$929$	−32.8377			−1.07737			−0.538686	−	0.842507i	$-0.681079\pi$
$929$	−32.8377			−1.07737			−0.538686	+	0.842507i	$0.681079\pi$
$930$	3.72072	−	7.18143i	0.122007	−	0.235488i
$931$	37.6230	−	1.89413i	1.23304	−	0.0620778i
$932$	0.0971780	−	0.168317i	0.00318317	−	0.00551341i
$933$	−6.08113	−	9.50471i	−0.199087	−	0.311170i
$934$	−16.7829	+	29.0688i	−0.549152	+	0.951160i
$935$	−0.514589	−	0.891294i	−0.0168289	−	0.0291484i
$936$	4.35087	+	6.16266i	0.142213	+	0.201433i
$937$	−8.78074			−0.286854			−0.143427	−	0.989661i	$-0.545812\pi$
$937$	−8.78074			−0.286854			−0.143427	+	0.989661i	$0.545812\pi$
$938$	4.44738	+	2.42066i	0.145212	+	0.0790372i
$939$	0.248440	+	0.388308i	0.00810754	+	0.0126720i
$940$	−3.60963	−	6.25206i	−0.117733	−	0.203920i
$941$	4.26615			0.139072			0.0695362	−	0.997579i	$-0.477848\pi$
$941$	4.26615			0.139072			0.0695362	+	0.997579i	$0.477848\pi$
$942$	6.16158	+	9.63046i	0.200755	+	0.313777i
$943$	1.21926			0.0397046
$944$	8.64766			0.281457
$945$	1.31517	+	8.05369i	0.0427825	+	0.261987i
$946$	6.62568			0.215420
$947$	−23.0584			−0.749296			−0.374648	−	0.927167i	$-0.622236\pi$
$947$	−23.0584			−0.749296			−0.374648	+	0.927167i	$0.622236\pi$
$948$	−8.63307	−	13.4934i	−0.280389	−	0.438244i
$949$	−19.9000			−0.645981
$950$	12.5057	+	21.6606i	0.405740	+	0.702762i
$951$	14.6775	+	22.9407i	0.475951	+	0.743904i
$952$	−0.194356	−	7.72582i	−0.00629911	−	0.250395i
$953$	−36.5552			−1.18414			−0.592070	−	0.805886i	$-0.701689\pi$
$953$	−36.5552			−1.18414			−0.592070	+	0.805886i	$0.701689\pi$
$954$	24.0620	−	2.19927i	0.779035	−	0.0712039i
$955$	−1.18190	−	2.04712i	−0.0382455	−	0.0662431i
$956$	−6.82743	+	11.8255i	−0.220815	+	0.382463i
$957$	−3.43219	−	5.36447i	−0.110947	−	0.173409i
$958$	0.183560	−	0.317935i	0.00593056	−	0.0102720i
$959$	−5.69241	+	3.48027i	−0.183818	+	0.112384i
$960$	0.472958	−	0.912864i	0.0152647	−	0.0294625i
$961$	30.8885			0.996404
$962$	−1.25729	−	2.17770i	−0.0405368	−	0.0702118i
$963$	32.3712	+	45.8511i	1.04315	+	1.47753i
$964$	6.50000	−	11.2583i	0.209351	−	0.362606i
$965$	−2.01245	−	3.48567i	−0.0647832	−	0.112208i
$966$	−16.9356	+	11.4457i	−0.544894	+	0.368259i
$967$	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	$-0.163448\pi$
$968$	−5.32383	−	9.22115i	−0.171114	−	0.296379i
$969$	14.6735	+	22.9345i	0.471382	+	0.736762i
$970$	−3.48249	+	6.03184i	−0.111816	+	0.193671i
$971$	−15.9897	+	27.6949i	−0.513133	+	0.888773i	0.486751	+	0.873541i	$0.338182\pi$
$971$	−15.9897	+	27.6949i	−0.513133	+	0.888773i	−0.999884	+	0.0152321i	$0.995151\pi$
$972$	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
$975$	−9.31205	+	17.9733i	−0.298224	+	0.575608i
$976$	−6.64766			−0.212787
$977$	−27.4208			−0.877270			−0.438635	−	0.898665i	$-0.644538\pi$
$977$	−27.4208			−0.877270			−0.438635	+	0.898665i	$0.644538\pi$
$978$	10.3509	−	0.472052i	0.330984	−	0.0150946i
$979$	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
$983$	29.5782	−	51.2309i	0.943398	−	1.63401i	0.184471	−	0.982838i	$-0.440943\pi$
$983$	29.5782	−	51.2309i	0.943398	−	1.63401i	0.758927	−	0.651175i	$-0.225724\pi$
$984$	0.472958	−	0.0215693i	0.0150773	−	0.000687603i
$985$	−3.28201	−	5.68460i	−0.104573	−	0.181126i
$986$	−9.04689	+	15.6697i	−0.288112	+	0.499024i
$987$	3.93852	+	55.5951i	0.125365	+	1.76961i
$988$	6.76615	+	11.7193i	0.215260	+	0.372841i
$989$	−24.8946	+	43.1188i	−0.791604	+	1.37110i
$990$	−0.442991	+	0.959702i	−0.0140792	+	0.0305013i
$991$	6.41887	+	11.1178i	0.203902	+	0.353169i	0.949782	−	0.312911i	$-0.101304\pi$
$991$	6.41887	+	11.1178i	0.203902	+	0.353169i	−0.745880	+	0.666080i	$0.767971\pi$
$992$	7.86693			0.249775
$993$	−23.4880	−	36.7114i	−0.745370	−	1.16500i
$994$	33.4880	+	18.2271i	1.06218	+	0.578130i
$995$	1.66751	−	2.88821i	0.0528636	−	0.0915624i
$996$	−6.13667	+	11.8445i	−0.194448	+	0.375307i
$997$	2.89037	−	5.00627i	0.0915389	−	0.158550i	−0.816620	−	0.577176i	$-0.804155\pi$
$997$	2.89037	−	5.00627i	0.0915389	−	0.158550i	0.908159	+	0.418626i	$0.137488\pi$
$998$	−9.50953	−	16.4710i	−0.301019	−	0.521380i
$999$	−1.96050	+	4.81211i	−0.0620276	+	0.152248i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
126.2.e.c.25.2	✓	6	63.25	even	3	inner
126.2.e.c.121.2	yes	6	1.1	even	1	trivial
126.2.h.d.67.2	yes	6	7.4	even	3
126.2.h.d.79.2	yes	6	9.7	even	3
378.2.e.d.37.2		6	3.2	odd	2
378.2.e.d.235.2		6	63.11	odd	6
378.2.h.c.289.2		6	9.2	odd	6
378.2.h.c.361.2		6	21.11	odd	6
882.2.e.o.373.2		6	7.6	odd	2
882.2.e.o.655.2		6	63.52	odd	6
882.2.f.n.295.1		6	63.16	even	3
882.2.f.n.589.1		6	7.2	even	3
882.2.f.o.295.3		6	63.61	odd	6
882.2.f.o.589.3		6	7.5	odd	6
882.2.h.p.67.2		6	7.3	odd	6
882.2.h.p.79.2		6	63.34	odd	6
1008.2.q.g.529.2		6	252.151	odd	6
1008.2.q.g.625.2		6	4.3	odd	2
1008.2.t.h.193.2		6	28.11	odd	6
1008.2.t.h.961.2		6	36.7	odd	6
1134.2.g.l.163.2		6	9.5	odd	6
1134.2.g.l.487.2		6	63.32	odd	6
1134.2.g.m.163.2		6	9.4	even	3
1134.2.g.m.487.2		6	63.4	even	3
2646.2.e.p.1549.2		6	21.20	even	2
2646.2.e.p.2125.2		6	63.38	even	6
2646.2.f.l.883.2		6	63.2	odd	6
2646.2.f.l.1765.2		6	21.2	odd	6
2646.2.f.m.883.2		6	63.47	even	6
2646.2.f.m.1765.2		6	21.5	even	6
2646.2.h.o.361.2		6	21.17	even	6
2646.2.h.o.667.2		6	63.20	even	6
3024.2.q.g.2305.2		6	12.11	even	2
3024.2.q.g.2881.2		6	252.11	even	6
3024.2.t.h.289.2		6	36.11	even	6
3024.2.t.h.1873.2		6	84.11	even	6
7938.2.a.bv.1.2		3	63.58	even	3
7938.2.a.bw.1.2		3	63.40	odd	6
7938.2.a.bz.1.2		3	63.5	even	6
7938.2.a.ca.1.2		3	63.23	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.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-1.00000 q^{2} +(0.933463 + 1.45899i) q^{3} +1.00000 q^{4} +(-0.296790 - 0.514055i) q^{5} +(-0.933463 - 1.45899i) q^{6} +(2.32383 + 1.26483i) q^{7} -1.00000 q^{8} +(-1.25729 + 2.72382i) q^{9} +O(q^{10})\)	\(q-1.00000 q^{2} +(0.933463 + 1.45899i) q^{3} +1.00000 q^{4} +(-0.296790 - 0.514055i) q^{5} +(-0.933463 - 1.45899i) q^{6} +(2.32383 + 1.26483i) q^{7} -1.00000 q^{8} +(-1.25729 + 2.72382i) q^{9} +(0.296790 + 0.514055i) q^{10} +(0.296790 - 0.514055i) q^{11} +(0.933463 + 1.45899i) q^{12} +(-1.25729 + 2.17770i) q^{13} +(-2.32383 - 1.26483i) q^{14} +(0.472958 - 0.912864i) q^{15} +1.00000 q^{16} +(1.46050 + 2.52967i) q^{17} +(1.25729 - 2.72382i) q^{18} +(2.69076 - 4.66053i) q^{19} +(-0.296790 - 0.514055i) q^{20} +(0.323832 + 4.57112i) q^{21} +(-0.296790 + 0.514055i) q^{22} +(-2.23025 - 3.86291i) q^{23} +(-0.933463 - 1.45899i) q^{24} +(2.32383 - 4.02499i) 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} +(-0.472958 + 0.912864i) q^{30} -7.86693 q^{31} -1.00000 q^{32} +(1.02704 - 0.0468383i) 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} +(-2.69076 + 4.66053i) q^{38} +(-4.35087 + 0.198422i) q^{39} +(0.296790 + 0.514055i) q^{40} +(-0.136673 + 0.236725i) q^{41} +(-0.323832 - 4.57112i) q^{42} +(-5.58113 - 9.66679i) q^{43} +(0.296790 - 0.514055i) q^{44} +(1.77335 - 0.162084i) q^{45} +(2.23025 + 3.86291i) q^{46} +12.1623 q^{47} +(0.933463 + 1.45899i) q^{48} +(3.80039 + 5.87852i) q^{49} +(-2.32383 + 4.02499i) q^{50} +(-2.32743 + 4.49221i) q^{51} +(-1.25729 + 2.17770i) q^{52} +(4.02704 + 6.97504i) q^{53} +(5.14766 - 0.708209i) q^{54} -0.352336 q^{55} +(-2.32383 - 1.26483i) q^{56} +(9.31138 - 0.424646i) q^{57} +(3.09718 + 5.36447i) q^{58} +8.64766 q^{59} +(0.472958 - 0.912864i) q^{60} -6.64766 q^{61} +7.86693 q^{62} +(-6.36693 + 4.73944i) q^{63} +1.00000 q^{64} +1.49261 q^{65} +(-1.02704 + 0.0468383i) q^{66} -1.91381 q^{67} +(1.46050 + 2.52967i) q^{68} +(3.55408 - 6.85980i) q^{69} +(0.0394951 + 1.56997i) q^{70} -14.4107 q^{71} +(1.25729 - 2.72382i) q^{72} +(3.95691 + 6.85356i) q^{73} +(-0.500000 + 0.866025i) q^{74} +(8.04163 - 0.366739i) q^{75} +(2.69076 - 4.66053i) q^{76} +(1.33988 - 0.819187i) q^{77} +(4.35087 - 0.198422i) q^{78} -9.24844 q^{79} +(-0.296790 - 0.514055i) q^{80} +(-5.83842 - 6.84929i) q^{81} +(0.136673 - 0.236725i) q^{82} +(3.85087 + 6.66991i) q^{83} +(0.323832 + 4.57112i) q^{84} +(0.866926 - 1.50156i) q^{85} +(5.58113 + 9.66679i) q^{86} +(4.93560 - 9.52628i) q^{87} +(-0.296790 + 0.514055i) 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} +(-7.34348 - 11.4778i) q^{93} -12.1623 q^{94} -3.19436 q^{95} +(-0.933463 - 1.45899i) q^{96} +(5.86693 + 10.1618i) q^{97} +(-3.80039 - 5.87852i) q^{98} +(1.02704 + 1.45472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q - 6 q^{2} + 2 q^{3} + 6 q^{4} + q^{5} - 2 q^{6} + 2 q^{7} - 6 q^{8} + 8 q^{9}+O(q^{10}) \) 6 * q - 6 * q^2 + 2 * q^3 + 6 * q^4 + q^5 - 2 * q^6 + 2 * q^7 - 6 * q^8 + 8 * q^9	\( 6 q - 6 q^{2} + 2 q^{3} + 6 q^{4} + q^{5} - 2 q^{6} + 2 q^{7} - 6 q^{8} + 8 q^{9} - q^{10} - q^{11} + 2 q^{12} + 8 q^{13} - 2 q^{14} + 12 q^{15} + 6 q^{16} - 4 q^{17} - 8 q^{18} - 3 q^{19} + q^{20} - 10 q^{21} + q^{22} - 7 q^{23} - 2 q^{24} + 2 q^{25} - 8 q^{26} - 7 q^{27} + 2 q^{28} - 5 q^{29} - 12 q^{30} - 40 q^{31} - 6 q^{32} - 3 q^{33} + 4 q^{34} - 13 q^{35} + 8 q^{36} + 3 q^{37} + 3 q^{38} - 5 q^{39} - q^{40} + 10 q^{42} - 6 q^{43} - q^{44} + 9 q^{45} + 7 q^{46} + 18 q^{47} + 2 q^{48} + 12 q^{49} - 2 q^{50} + 6 q^{51} + 8 q^{52} + 15 q^{53} + 7 q^{54} - 26 q^{55} - 2 q^{56} + 22 q^{57} + 5 q^{58} + 28 q^{59} + 12 q^{60} - 16 q^{61} + 40 q^{62} - 31 q^{63} + 6 q^{64} + 24 q^{65} + 3 q^{66} - 2 q^{67} - 4 q^{68} + 3 q^{69} + 13 q^{70} + 14 q^{71} - 8 q^{72} + 19 q^{73} - 3 q^{74} + 8 q^{75} - 3 q^{76} + 10 q^{77} + 5 q^{78} - 10 q^{79} + q^{80} + 8 q^{81} + 2 q^{83} - 10 q^{84} - 2 q^{85} + 6 q^{86} - 27 q^{87} + q^{88} - 9 q^{89} - 9 q^{90} - 46 q^{91} - 7 q^{92} - 38 q^{93} - 18 q^{94} + 8 q^{95} - 2 q^{96} + 28 q^{97} - 12 q^{98} - 3 q^{99}+O(q^{100}) \) 6 * q - 6 * q^2 + 2 * q^3 + 6 * q^4 + q^5 - 2 * q^6 + 2 * q^7 - 6 * q^8 + 8 * q^9 - q^10 - q^11 + 2 * q^12 + 8 * q^13 - 2 * q^14 + 12 * q^15 + 6 * q^16 - 4 * q^17 - 8 * q^18 - 3 * q^19 + q^20 - 10 * q^21 + q^22 - 7 * q^23 - 2 * q^24 + 2 * q^25 - 8 * q^26 - 7 * q^27 + 2 * q^28 - 5 * q^29 - 12 * q^30 - 40 * q^31 - 6 * q^32 - 3 * q^33 + 4 * q^34 - 13 * q^35 + 8 * q^36 + 3 * q^37 + 3 * q^38 - 5 * q^39 - q^40 + 10 * q^42 - 6 * q^43 - q^44 + 9 * q^45 + 7 * q^46 + 18 * q^47 + 2 * q^48 + 12 * q^49 - 2 * q^50 + 6 * q^51 + 8 * q^52 + 15 * q^53 + 7 * q^54 - 26 * q^55 - 2 * q^56 + 22 * q^57 + 5 * q^58 + 28 * q^59 + 12 * q^60 - 16 * q^61 + 40 * q^62 - 31 * q^63 + 6 * q^64 + 24 * q^65 + 3 * q^66 - 2 * q^67 - 4 * q^68 + 3 * q^69 + 13 * q^70 + 14 * q^71 - 8 * q^72 + 19 * q^73 - 3 * q^74 + 8 * q^75 - 3 * q^76 + 10 * q^77 + 5 * q^78 - 10 * q^79 + q^80 + 8 * q^81 + 2 * q^83 - 10 * q^84 - 2 * q^85 + 6 * q^86 - 27 * q^87 + q^88 - 9 * q^89 - 9 * q^90 - 46 * q^91 - 7 * q^92 - 38 * q^93 - 18 * q^94 + 8 * q^95 - 2 * q^96 + 28 * q^97 - 12 * q^98 - 3 * q^99

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