LMFDB - Embedded newform 133.2.bf.a.10.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [133,2,Mod(10,133)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(133, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([3, 17]))

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

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

chi := DirichletCharacter("133.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 133 = 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	133.bf (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.06201034688$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$11$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			10.10
Character	$\chi$	$=$	133.10
Dual form			133.2.bf.a.40.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.48693 + 1.77205i) q^{2} +(-0.429930 - 2.43826i) q^{3} +(-0.581918 + 3.30022i) q^{4} +(0.765719 - 0.135017i) q^{5} +(3.68144 - 4.38737i) q^{6} +(1.90031 + 1.84088i) q^{7} +(-2.70677 + 1.56275i) q^{8} +(-2.94117 + 1.07050i) q^{9} +O(q^{10})$	\(q+(1.48693 + 1.77205i) q^{2} +(-0.429930 - 2.43826i) q^{3} +(-0.581918 + 3.30022i) q^{4} +(0.765719 - 0.135017i) q^{5} +(3.68144 - 4.38737i) q^{6} +(1.90031 + 1.84088i) q^{7} +(-2.70677 + 1.56275i) q^{8} +(-2.94117 + 1.07050i) q^{9} +(1.37783 + 1.15613i) q^{10} -4.75062 q^{11} +8.29696 q^{12} +(-1.95957 - 1.64428i) q^{13} +(-0.436502 + 6.10470i) q^{14} +(-0.658412 - 1.80897i) q^{15} +(-0.495984 - 0.180523i) q^{16} +(0.500722 - 1.37572i) q^{17} +(-6.27030 - 3.62016i) q^{18} +(-4.34589 + 0.336545i) q^{19} +2.60561i q^{20} +(3.67152 - 5.42489i) q^{21} +(-7.06383 - 8.41835i) q^{22} +(-3.35755 - 2.81732i) q^{23} +(4.97411 + 5.92791i) q^{24} +(-4.13037 + 1.50333i) q^{25} -5.91739i q^{26} +(0.160847 + 0.278596i) q^{27} +(-7.18112 + 5.20020i) q^{28} +(7.88188 + 1.38979i) q^{29} +(2.22658 - 3.85655i) q^{30} +(3.82182 + 6.61958i) q^{31} +(1.72037 + 4.72669i) q^{32} +(2.04244 + 11.5832i) q^{33} +(3.18239 - 1.15830i) q^{34} +(1.70365 + 1.15302i) q^{35} +(-1.82136 - 10.3295i) q^{36} +(-0.0122725 + 0.00708552i) q^{37} +(-7.05840 - 7.20073i) q^{38} +(-3.16669 + 5.48486i) q^{39} +(-1.86163 + 1.56209i) q^{40} +(3.08031 - 2.58469i) q^{41} +(15.0725 - 1.56029i) q^{42} +(2.79122 + 1.01592i) q^{43} +(2.76447 - 15.6781i) q^{44} +(-2.10758 + 1.21681i) q^{45} -10.1389i q^{46} +(-2.39379 - 6.57690i) q^{47} +(-0.226924 + 1.28695i) q^{48} +(0.222357 + 6.99647i) q^{49} +(-8.80554 - 5.08388i) q^{50} +(-3.56964 - 0.629424i) q^{51} +(6.56678 - 5.51018i) q^{52} +(11.9519 + 2.10745i) q^{53} +(-0.254518 + 0.699282i) q^{54} +(-3.63764 + 0.641414i) q^{55} +(-8.02053 - 2.01310i) q^{56} +(2.68901 + 10.4517i) q^{57} +(9.25702 + 16.0336i) q^{58} +(-10.3529 - 3.76813i) q^{59} +(6.35315 - 1.12023i) q^{60} +(1.74873 - 2.08405i) q^{61} +(-6.04748 + 16.6153i) q^{62} +(-7.55980 - 3.38005i) q^{63} +(-6.34569 + 10.9911i) q^{64} +(-1.72249 - 0.994478i) q^{65} +(-17.4891 + 20.8427i) q^{66} +(5.01001 - 5.97070i) q^{67} +(4.24881 + 2.45305i) q^{68} +(-5.42583 + 9.39782i) q^{69} +(0.490000 + 4.73342i) q^{70} +(1.20085 - 3.29931i) q^{71} +(6.28814 - 7.49392i) q^{72} +(5.92924 - 1.04548i) q^{73} +(-0.0308042 - 0.0112118i) q^{74} +(5.44127 + 9.42456i) q^{75} +(1.41828 - 14.5382i) q^{76} +(-9.02765 - 8.74530i) q^{77} +(-14.4281 + 2.54406i) q^{78} +(-1.89092 + 5.19526i) q^{79} +(-0.404158 - 0.0712640i) q^{80} +(-6.58287 + 5.52368i) q^{81} +(9.16041 + 1.61523i) q^{82} +(3.32086 + 1.91730i) q^{83} +(15.7668 + 15.2737i) q^{84} +(0.197667 - 1.12102i) q^{85} +(2.35008 + 6.45679i) q^{86} -19.8156i q^{87} +(12.8588 - 7.42404i) q^{88} +(1.68871 - 9.57714i) q^{89} +(-5.29007 - 1.92543i) q^{90} +(-0.696887 - 6.73196i) q^{91} +(11.2516 - 9.44121i) q^{92} +(14.4971 - 12.1645i) q^{93} +(8.09521 - 14.0213i) q^{94} +(-3.28229 + 0.844468i) q^{95} +(10.7852 - 6.22686i) q^{96} +(3.15539 + 17.8951i) q^{97} +(-12.0675 + 10.7973i) q^{98} +(13.9724 - 5.08554i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9}+O(q^{10}) $ 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9} - 9 q^{10} - 12 q^{11} + 6 q^{12} - 30 q^{13} - 15 q^{14} + 9 q^{15} - 15 q^{16} + 18 q^{17} + 36 q^{18} + 12 q^{19} - 30 q^{21} - 3 q^{23} - 36 q^{24} - 27 q^{25} + 12 q^{27} - 33 q^{28} - 6 q^{29} + 3 q^{30} - 9 q^{31} + 60 q^{32} - 9 q^{33} - 36 q^{34} + 9 q^{35} + 27 q^{36} - 36 q^{37} + 18 q^{38} + 12 q^{39} + 9 q^{40} + 54 q^{41} - 9 q^{42} + 12 q^{43} + 18 q^{44} - 27 q^{45} + 45 q^{47} + 63 q^{48} - 45 q^{49} - 63 q^{50} - 3 q^{51} + 57 q^{52} + 27 q^{53} - 9 q^{54} - 45 q^{55} - 54 q^{56} - 54 q^{57} + 30 q^{58} + 36 q^{59} - 78 q^{60} - 42 q^{61} - 45 q^{62} + 57 q^{63} - 36 q^{64} + 45 q^{65} + 9 q^{66} + 30 q^{67} - 9 q^{68} + 69 q^{70} - 6 q^{71} - 6 q^{72} + 60 q^{73} + 9 q^{74} - 21 q^{75} + 54 q^{76} - 18 q^{77} + 3 q^{78} + 27 q^{79} - 45 q^{80} + 24 q^{81} - 9 q^{82} + 36 q^{83} + 99 q^{84} - 48 q^{85} - 48 q^{86} - 9 q^{88} - 9 q^{89} - 18 q^{90} + 24 q^{91} + 48 q^{92} - 3 q^{93} + 90 q^{94} - 75 q^{95} + 63 q^{96} - 27 q^{97} + 96 q^{98} + 48 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9 - 9 * q^10 - 12 * q^11 + 6 * q^12 - 30 * q^13 - 15 * q^14 + 9 * q^15 - 15 * q^16 + 18 * q^17 + 36 * q^18 + 12 * q^19 - 30 * q^21 - 3 * q^23 - 36 * q^24 - 27 * q^25 + 12 * q^27 - 33 * q^28 - 6 * q^29 + 3 * q^30 - 9 * q^31 + 60 * q^32 - 9 * q^33 - 36 * q^34 + 9 * q^35 + 27 * q^36 - 36 * q^37 + 18 * q^38 + 12 * q^39 + 9 * q^40 + 54 * q^41 - 9 * q^42 + 12 * q^43 + 18 * q^44 - 27 * q^45 + 45 * q^47 + 63 * q^48 - 45 * q^49 - 63 * q^50 - 3 * q^51 + 57 * q^52 + 27 * q^53 - 9 * q^54 - 45 * q^55 - 54 * q^56 - 54 * q^57 + 30 * q^58 + 36 * q^59 - 78 * q^60 - 42 * q^61 - 45 * q^62 + 57 * q^63 - 36 * q^64 + 45 * q^65 + 9 * q^66 + 30 * q^67 - 9 * q^68 + 69 * q^70 - 6 * q^71 - 6 * q^72 + 60 * q^73 + 9 * q^74 - 21 * q^75 + 54 * q^76 - 18 * q^77 + 3 * q^78 + 27 * q^79 - 45 * q^80 + 24 * q^81 - 9 * q^82 + 36 * q^83 + 99 * q^84 - 48 * q^85 - 48 * q^86 - 9 * q^88 - 9 * q^89 - 18 * q^90 + 24 * q^91 + 48 * q^92 - 3 * q^93 + 90 * q^94 - 75 * q^95 + 63 * q^96 - 27 * q^97 + 96 * q^98 + 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/133\mathbb{Z}\right)^\times$.

$n$	$78$	$115$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.48693	+	1.77205i	1.05142	+	1.25303i	0.966506	+	0.256642i	$0.0826162\pi$
$2$	1.48693	+	1.77205i	1.05142	+	1.25303i	0.0849112	+	0.996389i	$0.472939\pi$
$3$	−0.429930	−	2.43826i	−0.248220	−	1.40773i	−0.812893	−	0.582413i	$-0.802109\pi$
$3$	−0.429930	−	2.43826i	−0.248220	−	1.40773i	0.564673	−	0.825315i	$-0.309002\pi$
$4$	−0.581918	+	3.30022i	−0.290959	+	1.65011i
$5$	0.765719	−	0.135017i	0.342440	−	0.0603814i	0.000216540	−	1.00000i	$-0.499931\pi$
$5$	0.765719	−	0.135017i	0.342440	−	0.0603814i	0.342224	+	0.939619i	$0.388820\pi$
$6$	3.68144	−	4.38737i	1.50294	−	1.79114i
$7$	1.90031	+	1.84088i	0.718250	+	0.695785i
$7$	1.90031	+	1.84088i	0.718250	+	0.695785i
$8$	−2.70677	+	1.56275i	−0.956986	+	0.552516i
$9$	−2.94117	+	1.07050i	−0.980391	+	0.356833i
$10$	1.37783	+	1.15613i	0.435707	+	0.365602i
$11$	−4.75062			−1.43237			−0.716183	−	0.697913i	$-0.754112\pi$
$11$	−4.75062			−1.43237			−0.716183	+	0.697913i	$0.754112\pi$
$12$	8.29696			2.39513
$13$	−1.95957	−	1.64428i	−0.543487	−	0.456040i	0.329241	−	0.944246i	$-0.393207\pi$
$13$	−1.95957	−	1.64428i	−0.543487	−	0.456040i	−0.872728	+	0.488206i	$0.837652\pi$
$14$	−0.436502	+	6.10470i	−0.116660	+	1.63155i
$15$	−0.658412	−	1.80897i	−0.170001	−	0.467075i
$16$	−0.495984	−	0.180523i	−0.123996	−	0.0451309i
$17$	0.500722	−	1.37572i	0.121443	−	0.333662i	−0.864043	−	0.503418i	$-0.832076\pi$
$17$	0.500722	−	1.37572i	0.121443	−	0.333662i	0.985486	+	0.169756i	$0.0542979\pi$
$18$	−6.27030	−	3.62016i	−1.47792	−	0.853280i
$19$	−4.34589	+	0.336545i	−0.997015	+	0.0772087i
$19$	−4.34589	+	0.336545i	−0.997015	+	0.0772087i
$20$			2.60561i			0.582632i
$21$	3.67152	−	5.42489i	0.801192	−	1.18381i
$22$	−7.06383	−	8.41835i	−1.50601	−	1.79480i
$23$	−3.35755	−	2.81732i	−0.700098	−	0.587452i	0.221704	−	0.975114i	$-0.428838\pi$
$23$	−3.35755	−	2.81732i	−0.700098	−	0.587452i	−0.921801	+	0.387662i	$0.873283\pi$
$24$	4.97411	+	5.92791i	1.01534	+	1.21003i
$25$	−4.13037	+	1.50333i	−0.826073	+	0.300666i
$26$		−	5.91739i		−	1.16049i
$27$	0.160847	+	0.278596i	0.0309551	+	0.0536158i
$28$	−7.18112	+	5.20020i	−1.35710	+	0.982746i
$29$	7.88188	+	1.38979i	1.46363	+	0.258077i	0.848016	−	0.529971i	$-0.177797\pi$
$29$	7.88188	+	1.38979i	1.46363	+	0.258077i	0.615613	+	0.788049i	$0.288908\pi$
$30$	2.22658	−	3.85655i	0.406517	−	0.704107i
$31$	3.82182	+	6.61958i	0.686418	+	1.18891i	0.972989	+	0.230852i	$0.0741514\pi$
$31$	3.82182	+	6.61958i	0.686418	+	1.18891i	−0.286570	+	0.958059i	$0.592515\pi$
$32$	1.72037	+	4.72669i	0.304122	+	0.835569i
$33$	2.04244	+	11.5832i	0.355542	+	2.01638i
$34$	3.18239	−	1.15830i	0.545776	−	0.198646i
$35$	1.70365	+	1.15302i	0.287970	+	0.194896i
$36$	−1.82136	−	10.3295i	−0.303560	−	1.72158i
$37$	−0.0122725	+	0.00708552i	−0.00201758	+	0.00116485i	−0.501008	−	0.865442i	$-0.667037\pi$
$37$	−0.0122725	+	0.00708552i	−0.00201758	+	0.00116485i	0.498991	+	0.866607i	$0.333704\pi$
$38$	−7.05840	−	7.20073i	−1.14502	−	1.16811i
$39$	−3.16669	+	5.48486i	−0.507075	+	0.878280i
$40$	−1.86163	+	1.56209i	−0.294349	+	0.246988i
$41$	3.08031	−	2.58469i	0.481064	−	0.403661i	−0.369747	−	0.929132i	$-0.620556\pi$
$41$	3.08031	−	2.58469i	0.481064	−	0.403661i	0.850811	+	0.525472i	$0.176111\pi$
$42$	15.0725	−	1.56029i	2.32574	−	0.240758i
$43$	2.79122	+	1.01592i	0.425657	+	0.154927i	0.545961	−	0.837811i	$-0.316165\pi$
$43$	2.79122	+	1.01592i	0.425657	+	0.154927i	−0.120304	+	0.992737i	$0.538387\pi$
$44$	2.76447	−	15.6781i	0.416759	−	2.36356i
$45$	−2.10758	+	1.21681i	−0.314179	+	0.181391i
$46$		−	10.1389i		−	1.49490i
$47$	−2.39379	−	6.57690i	−0.349171	−	0.959339i	−0.982632	−	0.185565i	$-0.940589\pi$
$47$	−2.39379	−	6.57690i	−0.349171	−	0.959339i	0.633461	−	0.773774i	$-0.281634\pi$
$48$	−0.226924	+	1.28695i	−0.0327536	+	0.185755i
$49$	0.222357	+	6.99647i	0.0317653	+	0.999495i
$50$	−8.80554	−	5.08388i	−1.24529	−	0.718970i
$51$	−3.56964	−	0.629424i	−0.499850	−	0.0881370i
$52$	6.56678	−	5.51018i	0.910648	−	0.764125i
$53$	11.9519	+	2.10745i	1.64172	+	0.289480i	0.916800	−	0.399348i	$-0.130763\pi$
$53$	11.9519	+	2.10745i	1.64172	+	0.289480i	0.724925	+	0.688828i	$0.241874\pi$
$54$	−0.254518	+	0.699282i	−0.0346355	+	0.0951603i
$55$	−3.63764	+	0.641414i	−0.490500	+	0.0864883i
$56$	−8.02053	−	2.01310i	−1.07179	−	0.269012i
$57$	2.68901	+	10.4517i	0.356168	+	1.38436i
$58$	9.25702	+	16.0336i	1.21551	+	2.10532i
$59$	−10.3529	−	3.76813i	−1.34783	−	0.490569i	−0.435559	−	0.900160i	$-0.643449\pi$
$59$	−10.3529	−	3.76813i	−1.34783	−	0.490569i	−0.912269	+	0.409591i	$0.865671\pi$
$60$	6.35315	−	1.12023i	0.820188	−	0.144621i
$61$	1.74873	−	2.08405i	0.223901	−	0.266835i	−0.642386	−	0.766381i	$-0.722055\pi$
$61$	1.74873	−	2.08405i	0.223901	−	0.266835i	0.866287	+	0.499546i	$0.166500\pi$
$62$	−6.04748	+	16.6153i	−0.768030	+	2.11015i
$63$	−7.55980	−	3.38005i	−0.952445	−	0.425847i
$64$	−6.34569	+	10.9911i	−0.793211	+	1.37388i
$65$	−1.72249	−	0.994478i	−0.213648	−	0.123350i
$66$	−17.4891	+	20.8427i	−2.15276	+	2.56556i
$67$	5.01001	−	5.97070i	0.612070	−	0.729437i	−0.367615	−	0.929978i	$-0.619826\pi$
$67$	5.01001	−	5.97070i	0.612070	−	0.729437i	0.979685	+	0.200541i	$0.0642700\pi$
$68$	4.24881	+	2.45305i	0.515244	+	0.297476i
$69$	−5.42583	+	9.39782i	−0.653194	+	1.13136i
$70$	0.490000	+	4.73342i	0.0585662	+	0.565752i
$71$	1.20085	−	3.29931i	0.142515	−	0.391557i	−0.847814	−	0.530293i	$-0.822082\pi$
$71$	1.20085	−	3.29931i	0.142515	−	0.391557i	0.990329	+	0.138737i	$0.0443041\pi$
$72$	6.28814	−	7.49392i	0.741065	−	0.883167i
$73$	5.92924	−	1.04548i	0.693965	−	0.122365i	0.184470	−	0.982838i	$-0.440943\pi$
$73$	5.92924	−	1.04548i	0.693965	−	0.122365i	0.509495	+	0.860474i	$0.329832\pi$
$74$	−0.0308042	−	0.0112118i	−0.00358092	−	0.00130335i
$75$	5.44127	+	9.42456i	0.628304	+	1.08825i
$76$	1.41828	−	14.5382i	0.162688	−	1.66765i
$77$	−9.02765	−	8.74530i	−1.02880	−	0.996619i
$78$	−14.4281	+	2.54406i	−1.63366	+	0.288058i
$79$	−1.89092	+	5.19526i	−0.212745	+	0.584513i	−0.999462	−	0.0328015i	$-0.989557\pi$
$79$	−1.89092	+	5.19526i	−0.212745	+	0.584513i	0.786717	+	0.617314i	$0.211779\pi$
$80$	−0.404158	−	0.0712640i	−0.0451863	−	0.00796756i
$81$	−6.58287	+	5.52368i	−0.731430	+	0.613742i
$82$	9.16041	+	1.61523i	1.01160	+	0.178372i
$83$	3.32086	+	1.91730i	0.364512	+	0.210451i	0.671058	−	0.741405i	$-0.265840\pi$
$83$	3.32086	+	1.91730i	0.364512	+	0.210451i	−0.306546	+	0.951856i	$0.599173\pi$
$84$	15.7668	+	15.2737i	1.72030	+	1.66649i
$85$	0.197667	−	1.12102i	0.0214400	−	0.121592i
$86$	2.35008	+	6.45679i	0.253416	+	0.696254i
$87$		−	19.8156i		−	2.12445i
$88$	12.8588	−	7.42404i	1.37075	−	0.791405i
$89$	1.68871	−	9.57714i	0.179003	−	1.01518i	−0.754419	−	0.656393i	$-0.772081\pi$
$89$	1.68871	−	9.57714i	0.179003	−	1.01518i	0.933421	−	0.358782i	$-0.116808\pi$
$90$	−5.29007	−	1.92543i	−0.557623	−	0.202958i
$91$	−0.696887	−	6.73196i	−0.0730536	−	0.705701i
$92$	11.2516	−	9.44121i	1.17306	−	0.984314i
$93$	14.4971	−	12.1645i	1.50328	−	1.26140i
$94$	8.09521	−	14.0213i	0.834957	−	1.44619i
$95$	−3.28229	+	0.844468i	−0.336756	+	0.0866405i
$96$	10.7852	−	6.22686i	1.10076	−	0.635526i
$97$	3.15539	+	17.8951i	0.320381	+	1.81697i	0.540323	+	0.841458i	$0.318302\pi$
$97$	3.15539	+	17.8951i	0.320381	+	1.81697i	−0.219942	+	0.975513i	$0.570587\pi$
$98$	−12.0675	+	10.7973i	−1.21900	+	1.09069i
$99$	13.9724	−	5.08554i	1.40428	−	0.511116i
$100$	−2.55779	−	14.5059i	−0.255779	−	1.45059i
$101$	−2.86569	−	7.87341i	−0.285147	−	0.783434i	−0.996728	−	0.0808301i	$-0.974243\pi$
$101$	−2.86569	−	7.87341i	−0.285147	−	0.783434i	0.711581	−	0.702604i	$-0.247979\pi$
$102$	−4.19243	−	7.26150i	−0.415112	−	0.718996i
$103$	−5.80140	+	10.0483i	−0.571629	+	0.990091i	0.424770	+	0.905301i	$0.360355\pi$
$103$	−5.80140	+	10.0483i	−0.571629	+	0.990091i	−0.996399	+	0.0847894i	$0.972978\pi$
$104$	7.87370	+	1.38835i	0.772079	+	0.136138i
$105$	2.07890	−	4.64966i	0.202880	−	0.453761i
$106$	14.0372	+	24.3131i	1.36341	+	2.36150i
$107$		−	7.68019i		−	0.742472i	−0.928539	−	0.371236i	$-0.878934\pi$
$107$		−	7.68019i		−	0.742472i	0.928539	−	0.371236i	$-0.121066\pi$
$108$	−1.01303	+	0.368712i	−0.0974786	+	0.0354793i
$109$	−9.29228	−	11.0741i	−0.890039	−	1.06071i	−0.997785	−	0.0665286i	$-0.978808\pi$
$109$	−9.29228	−	11.0741i	−0.890039	−	1.06071i	0.107746	−	0.994178i	$-0.465637\pi$
$110$	−6.54554	−	5.49236i	−0.624092	−	0.523676i
$111$	0.0225526	+	0.0268772i	0.00214060	+	0.00255107i
$112$	−0.610202	−	1.25610i	−0.0576587	−	0.118690i
$113$			15.0755i			1.41818i	0.705116	+	0.709092i	$0.250895\pi$
$113$			15.0755i			1.41818i	−0.705116	+	0.709092i	$0.749105\pi$
$114$	−14.5226	+	20.3060i	−1.36017	+	1.90183i
$115$	−2.95133	−	1.70395i	−0.275213	−	0.158894i
$116$	−9.17321	+	25.2032i	−0.851711	+	2.34006i
$117$	7.52364	+	2.73838i	0.695560	+	0.253163i
$118$	−8.71664	−	23.9488i	−0.802432	−	2.20466i
$119$	3.48406	−	1.69253i	0.319383	−	0.155154i
$120$	4.60914	+	3.86753i	0.420755	+	0.353056i
$121$	11.5684			1.05167
$122$	6.29328			0.569767
$123$	−7.62645	−	6.39935i	−0.687654	−	0.577010i
$124$	−24.0700	+	8.76078i	−2.16155	+	0.786741i
$125$	−6.32654	+	3.65263i	−0.565863	+	0.326701i
$126$	−5.25125	−	18.4223i	−0.467819	−	1.64119i
$127$	5.64001	−	6.72151i	0.500470	−	0.596437i	−0.455378	−	0.890298i	$-0.650496\pi$
$127$	5.64001	−	6.72151i	0.500470	−	0.596437i	0.955848	+	0.293861i	$0.0949403\pi$
$128$	−19.0051	+	3.35111i	−1.67983	+	0.296199i
$129$	1.27705	−	7.24248i	0.112438	−	0.637665i
$130$	−0.798948	−	4.53106i	−0.0700723	−	0.397400i
$131$	0.300365	+	0.357961i	0.0262430	+	0.0312752i	0.779006	−	0.627016i	$-0.215724\pi$
$131$	0.300365	+	0.357961i	0.0262430	+	0.0312752i	−0.752763	+	0.658291i	$0.771280\pi$
$132$	−39.4157			−3.43070
$133$	−8.87807	−	7.36070i	−0.769826	−	0.638253i
$134$	18.0299			1.55755
$135$	0.160779	+	0.191609i	0.0138377	+	0.0164911i
$136$	0.794576	+	4.50627i	0.0681344	+	0.386409i
$137$	−0.313077	+	1.77555i	−0.0267480	+	0.151696i	−0.995257	−	0.0972846i	$-0.968984\pi$
$137$	−0.313077	+	1.77555i	−0.0267480	+	0.151696i	0.968509	+	0.248980i	$0.0800954\pi$
$138$	−24.7213	+	4.35903i	−2.10441	+	0.371065i
$139$	0.908150	−	1.08229i	0.0770283	−	0.0917987i	−0.726154	−	0.687532i	$-0.758694\pi$
$139$	0.908150	−	1.08229i	0.0770283	−	0.0917987i	0.803182	+	0.595733i	$0.203139\pi$
$140$	−4.79660	+	4.95147i	−0.405387	+	0.418476i
$141$	−15.0070	+	8.66429i	−1.26382	+	0.729665i
$142$	7.63214	−	2.77787i	0.640475	−	0.233114i
$143$	9.30918	+	7.81133i	0.778472	+	0.653216i
$144$	1.65203			0.137669
$145$	6.22296			0.516788
$146$	10.6690	+	8.95236i	0.882974	+	0.740903i
$147$	16.9636	−	3.55016i	1.39913	−	0.292812i
$148$	−0.0162422	−	0.0446251i	−0.00133510	−	0.00366816i
$149$	−12.6390	−	4.60022i	−1.03543	−	0.376865i	−0.232282	−	0.972648i	$-0.574619\pi$
$149$	−12.6390	−	4.60022i	−1.03543	−	0.376865i	−0.803145	+	0.595784i	$0.796842\pi$
$150$	−8.61004	+	23.6559i	−0.703007	+	1.93149i
$151$	18.8967	+	10.9100i	1.53779	+	0.887846i	0.998968	+	0.0454299i	$0.0144658\pi$
$151$	18.8967	+	10.9100i	1.53779	+	0.887846i	0.538827	+	0.842416i	$0.318868\pi$
$152$	11.2374	−	7.70249i	0.911471	−	0.624755i
$153$			4.58226i			0.370454i
$154$	2.07366	−	29.0011i	0.167100	−	2.33698i
$155$	3.82019	+	4.55273i	0.306845	+	0.365684i
$156$	−16.2585	−	13.6425i	−1.30172	−	1.09227i
$157$	2.45428	+	2.92490i	0.195873	+	0.233432i	0.855037	−	0.518567i	$-0.173534\pi$
$157$	2.45428	+	2.92490i	0.195873	+	0.233432i	−0.659164	+	0.751999i	$0.729090\pi$
$158$	−12.0179	+	4.37418i	−0.956097	+	0.347991i
$159$		−	30.0479i		−	2.38296i
$160$	1.95551	+	3.38704i	0.154596	+	0.267769i
$161$	−1.19405	−	11.5346i	−0.0941046	−	0.909055i
$162$	−19.5765	−	3.45187i	−1.53808	−	0.271204i
$163$	0.941749	−	1.63116i	0.0737635	−	0.127762i	−0.826784	−	0.562519i	$-0.809832\pi$
$163$	0.941749	−	1.63116i	0.0737635	−	0.127762i	0.900548	+	0.434757i	$0.143166\pi$
$164$	6.73755	+	11.6698i	0.526114	+	0.911257i
$165$	3.12786	+	8.59374i	0.243504	+	0.669022i
$166$	1.54033	+	8.73564i	0.119553	+	0.678017i
$167$	−14.5985	+	5.31343i	−1.12967	+	0.411165i	−0.838171	−	0.545407i	$-0.816375\pi$
$167$	−14.5985	+	5.31343i	−1.12967	+	0.411165i	−0.291496	+	0.956572i	$0.594153\pi$
$168$	−1.46020	+	20.4216i	−0.112657	+	1.57556i
$169$	−1.12115	−	6.35835i	−0.0862422	−	0.489104i
$170$	2.28043	−	1.31661i	0.174901	−	0.100979i
$171$	12.4217	−	5.64211i	0.949914	−	0.431463i
$172$	−4.97702	+	8.62046i	−0.379494	+	0.657304i
$173$	8.36518	−	7.01922i	0.635993	−	0.533661i	−0.266792	−	0.963754i	$-0.585964\pi$
$173$	8.36518	−	7.01922i	0.635993	−	0.533661i	0.902785	+	0.430093i	$0.141519\pi$
$174$	35.1142	−	29.4643i	2.66200	−	2.23369i
$175$	−10.6164	−	4.74669i	−0.802526	−	0.358816i
$176$	2.35623	+	0.857598i	0.177608	+	0.0646439i
$177$	−4.73667	+	26.8630i	−0.356030	+	2.01914i
$178$	19.4822	−	11.2481i	1.46025	−	0.843077i
$179$		−	13.4574i		−	1.00585i	−0.864330	−	0.502926i	$-0.832257\pi$
$179$		−	13.4574i		−	1.00585i	0.864330	−	0.502926i	$-0.167743\pi$
$180$	−2.78931	−	7.66356i	−0.207903	−	0.571208i
$181$	−0.0253065	+	0.143520i	−0.00188102	+	0.0106678i	−0.985734	−	0.168312i	$-0.946168\pi$
$181$	−0.0253065	+	0.143520i	−0.00188102	+	0.0106678i	0.983853	+	0.178980i	$0.0572796\pi$
$182$	10.8932	−	11.2449i	0.807455	−	0.833525i
$183$	−5.83328	−	3.36785i	−0.431208	−	0.248958i
$184$	13.4909	+	2.37881i	0.994561	+	0.175368i
$185$	−0.00844061	+	0.00708252i	−0.000620566	+	0.000520717i
$186$	43.1124	+	7.60187i	3.16115	+	0.557396i
$187$	−2.37874	+	6.53554i	−0.173951	+	0.477926i
$188$	23.0982	−	4.07283i	1.68461	−	0.297042i
$189$	−0.207200	+	0.825519i	−0.0150716	+	0.0600476i
$190$	−6.37698	−	4.56073i	−0.462634	−	0.330870i
$191$	−1.23615	−	2.14107i	−0.0894444	−	0.154922i	0.817832	−	0.575457i	$-0.195176\pi$
$191$	−1.23615	−	2.14107i	−0.0894444	−	0.154922i	−0.907276	+	0.420535i	$0.861842\pi$
$192$	29.5272	+	10.7470i	2.13094	+	0.775600i
$193$	−5.56172	+	0.980682i	−0.400342	+	0.0705910i	−0.370194	−	0.928954i	$-0.620709\pi$
$193$	−5.56172	+	0.980682i	−0.400342	+	0.0705910i	−0.0301475	+	0.999545i	$0.509598\pi$
$194$	−27.0192	+	32.2002i	−1.93987	+	2.31184i
$195$	−1.68424	+	4.62742i	−0.120611	+	0.331376i
$196$	−23.2193	−	3.33754i	−1.65852	−	0.238396i
$197$	−7.39844	+	12.8145i	−0.527117	+	0.912994i	0.472383	+	0.881393i	$0.343394\pi$
$197$	−7.39844	+	12.8145i	−0.527117	+	0.912994i	−0.999501	+	0.0316005i	$0.989940\pi$
$198$	29.7878	+	17.1980i	2.11693	+	1.22221i
$199$	−9.94950	+	11.8574i	−0.705301	+	0.840545i	−0.993115	−	0.117141i	$-0.962627\pi$
$199$	−9.94950	+	11.8574i	−0.705301	+	0.840545i	0.287814	+	0.957686i	$0.407071\pi$
$200$	8.83060	−	10.5239i	0.624418	−	0.744152i
$201$	−16.7120	−	9.64871i	−1.17878	−	0.680567i
$202$	9.69103	−	16.7854i	0.681859	−	1.18101i
$203$	12.4196	+	17.1506i	0.871685	+	1.20374i
$204$	4.15447	−	11.4143i	0.290871	−	0.799163i
$205$	2.00968	−	2.39504i	0.140362	−	0.167277i
$206$	−26.4324	+	4.66075i	−1.84164	+	0.324730i
$207$	12.8911	+	4.69197i	0.895992	+	0.326114i
$208$	0.675086	+	1.16928i	0.0468088	+	0.0810752i
$209$	20.6457	−	1.59880i	1.42809	−	0.110591i
$210$	11.3306	−	3.22979i	0.781888	−	0.222877i
$211$	5.57348	−	0.982755i	0.383694	−	0.0676557i	0.0215258	−	0.999768i	$-0.493148\pi$
$211$	5.57348	−	0.982755i	0.383694	−	0.0676557i	0.362169	+	0.932113i	$0.382036\pi$
$212$	−13.9101	+	38.2176i	−0.955348	+	2.62480i
$213$	−8.56086	−	1.50951i	−0.586580	−	0.103430i
$214$	13.6097	−	11.4199i	0.930340	−	0.780648i
$215$	2.27446	+	0.401048i	0.155117	+	0.0273513i
$216$	−0.870753	−	0.502729i	−0.0592472	−	0.0342064i
$217$	−4.92318	+	19.6147i	−0.334207	+	1.33154i
$218$	5.80695	−	32.9328i	0.393296	−	2.23049i
$219$	−5.09832	−	14.0075i	−0.344512	−	0.946540i
$220$		−	12.3783i		−	0.834543i
$221$	−3.24327	+	1.87250i	−0.218166	+	0.125958i
$222$	−0.0140936	+	0.0799289i	−0.000945902	+	0.00536448i
$223$	−3.35019	−	1.21937i	−0.224345	−	0.0816551i	0.227402	−	0.973801i	$-0.426977\pi$
$223$	−3.35019	−	1.21937i	−0.224345	−	0.0816551i	−0.451747	+	0.892146i	$0.649199\pi$
$224$	−5.43200	+	12.1492i	−0.362941	+	0.811751i
$225$	10.5388	−	8.84311i	0.702587	−	0.589541i
$226$	−26.7146	+	22.4162i	−1.77703	+	1.49110i
$227$	−7.33018	+	12.6963i	−0.486521	+	0.842680i	−0.999880	−	0.0154945i	$-0.995068\pi$
$227$	−7.33018	+	12.6963i	−0.486521	+	0.842680i	0.513359	+	0.858174i	$0.328401\pi$
$228$	−36.0577	+	2.79230i	−2.38798	+	0.184925i
$229$	−2.58408	+	1.49192i	−0.170761	+	0.0985889i	−0.582945	−	0.812512i	$-0.698100\pi$
$229$	−2.58408	+	1.49192i	−0.170761	+	0.0985889i	0.412184	+	0.911101i	$0.364766\pi$
$230$	−1.36893	−	7.76356i	−0.0902643	−	0.511914i
$231$	−17.4420	+	25.7716i	−1.14760	+	1.69565i
$232$	−23.5063	+	8.55560i	−1.54326	+	0.561702i
$233$	−0.617185	−	3.50023i	−0.0404331	−	0.229308i	0.957894	−	0.287121i	$-0.0926982\pi$
$233$	−0.617185	−	3.50023i	−0.0404331	−	0.229308i	−0.998327	+	0.0578136i	$0.981587\pi$
$234$	6.33456	+	17.4041i	0.414103	+	1.13774i
$235$	−2.72097	−	4.71285i	−0.177496	−	0.307433i
$236$	18.4602	−	31.9740i	1.20166	−	2.08133i
$237$	13.4803	+	2.37695i	0.875642	+	0.154399i
$238$	8.17981	+	3.65727i	0.530219	+	0.237065i
$239$	−1.69160	−	2.92993i	−0.109420	−	0.189521i	0.806115	−	0.591758i	$-0.201566\pi$
$239$	−1.69160	−	2.92993i	−0.109420	−	0.189521i	−0.915536	+	0.402237i	$0.868233\pi$
$240$			1.01608i			0.0655877i
$241$	−20.4321	+	7.43667i	−1.31615	+	0.479038i	−0.902222	−	0.431273i	$-0.858065\pi$
$241$	−20.4321	+	7.43667i	−1.31615	+	0.479038i	−0.413925	+	0.910311i	$0.635843\pi$
$242$	17.2014	+	20.4998i	1.10575	+	1.31778i
$243$	17.0376	+	14.2963i	1.09296	+	0.917105i
$244$	5.86021	+	6.98393i	0.375162	+	0.447100i
$245$	1.11491	+	5.32731i	0.0712287	+	0.340349i
$246$		−	23.0299i		−	1.46833i
$247$	9.06945	+	6.48635i	0.577075	+	0.412717i
$248$	−20.6895	−	11.9451i	−1.31379	−	0.758515i
$249$	3.24713	−	8.92142i	0.205779	−	0.565372i
$250$	−15.8798	−	5.77976i	−1.00432	−	0.365544i
$251$	−8.74489	−	24.0264i	−0.551972	−	1.51653i	−0.831013	−	0.556252i	$-0.812239\pi$
$251$	−8.74489	−	24.0264i	−0.551972	−	1.51653i	0.279041	−	0.960279i	$-0.409983\pi$
$252$	15.5541	−	22.9821i	0.979816	−	1.44774i
$253$	15.9504	+	13.3840i	1.00280	+	0.841446i
$254$	20.2972			1.27356
$255$	−2.81833			−0.176490
$256$	−14.7532	−	12.3794i	−0.922077	−	0.773714i
$257$	18.5039	−	6.73487i	1.15424	−	0.420109i	0.307204	−	0.951644i	$-0.400607\pi$
$257$	18.5039	−	6.73487i	1.15424	−	0.420109i	0.847037	+	0.531534i	$0.178384\pi$
$258$	14.7329	−	8.50607i	0.917233	−	0.529565i
$259$	−0.0363651	−	0.00912742i	−0.00225962	−	0.000567150i
$260$	4.28434	−	5.10588i	0.265704	−	0.316653i
$261$	−24.6698	+	4.34994i	−1.52702	+	0.269255i
$262$	−0.187705	+	1.06453i	−0.0115964	+	0.0657666i
$263$	−0.466576	−	2.64609i	−0.0287703	−	0.163165i	0.967038	−	0.254634i	$-0.0819549\pi$
$263$	−0.466576	−	2.64609i	−0.0287703	−	0.163165i	−0.995808	+	0.0914690i	$0.970844\pi$
$264$	−23.6301	−	28.1613i	−1.45433	−	1.73321i
$265$	9.43637			0.579672
$266$	−0.157516	−	26.6772i	−0.00965794	−	1.63569i
$267$	−24.0776			−1.47352
$268$	16.7892	+	20.0086i	1.02556	+	1.22222i
$269$	−2.12355	−	12.0432i	−0.129475	−	0.734290i	−0.978549	−	0.206015i	$-0.933950\pi$
$269$	−2.12355	−	12.0432i	−0.129475	−	0.734290i	0.849074	−	0.528274i	$-0.177161\pi$
$270$	−0.100474	+	0.569818i	−0.00611468	+	0.0346780i
$271$	−21.2062	+	3.73922i	−1.28818	+	0.227141i	−0.775451	−	0.631408i	$-0.782477\pi$
$271$	−21.2062	+	3.73922i	−1.28818	+	0.227141i	−0.512731	+	0.858549i	$0.671366\pi$
$272$	−0.496701	+	0.591945i	−0.0301169	+	0.0358919i
$273$	−16.1146	+	4.59346i	−0.975302	+	0.278009i
$274$	−3.61189	+	2.08533i	−0.218202	+	0.125979i
$275$	19.6218	−	7.14175i	1.18324	−	0.430664i
$276$	−27.8575	−	23.3752i	−1.67682	−	1.40702i
$277$	−15.4553			−0.928617			−0.464309	−	0.885673i	$-0.653697\pi$
$277$	−15.4553			−0.928617			−0.464309	+	0.885673i	$0.653697\pi$
$278$	3.26823			0.196015
$279$	−18.3269	−	15.3781i	−1.09720	−	0.920662i
$280$	−6.41328	−	0.458566i	−0.383267	−	0.0274046i
$281$	−5.31549	−	14.6042i	−0.317095	−	0.871212i	−0.991176	−	0.132554i	$-0.957682\pi$
$281$	−5.31549	−	14.6042i	−0.317095	−	0.871212i	0.674080	−	0.738658i	$-0.264540\pi$
$282$	−37.6679	−	13.7100i	−2.24309	−	0.816419i
$283$	−4.01758	+	11.0382i	−0.238820	+	0.656153i	0.761151	+	0.648575i	$0.224635\pi$
$283$	−4.01758	+	11.0382i	−0.238820	+	0.656153i	−0.999971	+	0.00757836i	$0.997588\pi$
$284$	10.1897	+	5.88301i	0.604645	+	0.349092i
$285$	3.47018	+	7.64000i	0.205556	+	0.452555i
$286$			28.1112i			1.66225i
$287$	10.6116	+	0.758760i	0.626385	+	0.0447882i
$288$	−10.1198	−	12.0604i	−0.596318	−	0.710664i
$289$	11.3809	+	9.54968i	0.669463	+	0.561746i
$290$	9.25309	+	11.0274i	0.543360	+	0.647552i
$291$	42.2762	−	15.3873i	2.47827	−	0.902018i
$292$			20.1762i			1.18072i
$293$	5.42452	+	9.39555i	0.316904	+	0.548894i	0.979840	−	0.199782i	$-0.0640233\pi$
$293$	5.42452	+	9.39555i	0.316904	+	0.548894i	−0.662936	+	0.748676i	$0.730690\pi$
$294$	31.5147	+	24.7815i	1.83798	+	1.44529i
$295$	−8.43615	−	1.48752i	−0.491172	−	0.0866068i
$296$	0.0221458	−	0.0383577i	0.00128720	−	0.00222950i
$297$	−0.764125	−	1.32350i	−0.0443390	−	0.0767974i
$298$	−10.6415	−	29.2372i	−0.616443	−	1.69366i
$299$	1.94691	+	11.0415i	0.112593	+	0.638545i
$300$	−34.2695	+	12.4731i	−1.97855	+	0.720133i
$301$	3.43400	+	7.06885i	0.197932	+	0.407442i
$302$	8.76495	+	49.7085i	0.504366	+	2.86040i
$303$	−17.9653	+	10.3723i	−1.03208	+	0.595873i
$304$	2.21625	+	0.617614i	0.127110	+	0.0354226i
$305$	1.05765	−	1.83191i	0.0605610	−	0.104895i
$306$	−8.12002	+	6.81350i	−0.464190	+	0.389502i
$307$	−2.89653	+	2.43047i	−0.165313	+	0.138714i	−0.721692	−	0.692215i	$-0.756635\pi$
$307$	−2.89653	+	2.43047i	−0.165313	+	0.138714i	0.556378	+	0.830929i	$0.312191\pi$
$308$	34.1147	−	24.7042i	1.94387	−	1.40765i
$309$	26.9946	+	9.82523i	1.53567	+	0.558938i
$310$	−2.38732	+	13.5392i	−0.135591	+	0.768973i
$311$	−13.9778	+	8.07011i	−0.792610	+	0.457614i	−0.840881	−	0.541221i	$-0.817962\pi$
$311$	−13.9778	+	8.07011i	−0.792610	+	0.457614i	0.0482704	+	0.998834i	$0.484629\pi$
$312$		−	19.7950i		−	1.12067i
$313$	−2.99800	−	8.23693i	−0.169457	−	0.465579i	0.825673	−	0.564149i	$-0.190795\pi$
$313$	−2.99800	−	8.23693i	−0.169457	−	0.465579i	−0.995130	+	0.0985697i	$0.968573\pi$
$314$	−1.53373	+	8.69824i	−0.0865536	+	0.490870i
$315$	−6.24505	−	1.56747i	−0.351869	−	0.0883170i
$316$	−16.0451	−	9.26367i	−0.902610	−	0.521122i
$317$	10.8712	+	1.91689i	0.610590	+	0.107663i	0.470388	−	0.882460i	$-0.344114\pi$
$317$	10.8712	+	1.91689i	0.610590	+	0.107663i	0.140202	+	0.990123i	$0.455225\pi$
$318$	53.2465	−	44.6791i	2.98592	−	2.50548i
$319$	−37.4438	−	6.60236i	−2.09645	−	0.369661i
$320$	−3.37504	+	9.27284i	−0.188670	+	0.518367i
$321$	−18.7263	+	3.30195i	−1.04520	+	0.184297i
$322$	18.6645	−	19.2671i	1.04013	−	1.07371i
$323$	−1.71309	+	6.14725i	−0.0953189	+	0.342042i
$324$	−14.3987	−	24.9392i	−0.799926	−	1.38551i
$325$	10.5656	+	3.84558i	0.586076	+	0.213314i
$326$	4.29081	−	0.756586i	0.237646	−	0.0419034i
$327$	−23.0065	+	27.4180i	−1.27226	+	1.51622i
$328$	−4.29846	+	11.8099i	−0.237343	+	0.652093i
$329$	7.55829	−	16.9048i	0.416702	−	0.931993i
$330$	−10.5776	+	18.3210i	−0.582280	+	1.00854i
$331$	9.40119	+	5.42778i	0.516736	+	0.298338i	0.735598	−	0.677418i	$-0.236901\pi$
$331$	9.40119	+	5.42778i	0.516736	+	0.298338i	−0.218862	+	0.975756i	$0.570234\pi$
$332$	−8.25999	+	9.84387i	−0.453326	+	0.540253i
$333$	0.0285105	−	0.0339774i	0.00156236	−	0.00186195i
$334$	−31.1226	−	17.9687i	−1.70295	−	0.983201i
$335$	3.03012	−	5.24832i	0.165553	−	0.286746i
$336$	−2.80034	+	2.02786i	−0.152771	+	0.110629i
$337$	9.46830	−	26.0139i	0.515771	−	1.41707i	−0.359367	−	0.933196i	$-0.617007\pi$
$337$	9.46830	−	26.0139i	0.515771	−	1.41707i	0.875138	−	0.483873i	$-0.160770\pi$
$338$	9.60027	−	11.4412i	0.522186	−	0.622317i
$339$	36.7579	−	6.48142i	1.99642	−	0.352022i
$340$	3.58460	+	1.30469i	0.194402	+	0.0707566i
$341$	−18.1560	−	31.4471i	−0.983202	−	1.70296i
$342$	28.4684	+	13.6226i	1.53939	+	0.736624i
$343$	−12.4571	+	13.7048i	−0.672619	+	0.739989i
$344$	−9.14281	+	1.61212i	−0.492947	+	0.0869199i
$345$	−2.88580	+	7.92867i	−0.155366	+	0.426865i
$346$	24.8769	+	4.38646i	1.33739	+	0.235818i
$347$	−8.36611	+	7.02000i	−0.449116	+	0.376853i	−0.839108	−	0.543965i	$-0.816922\pi$
$347$	−8.36611	+	7.02000i	−0.449116	+	0.376853i	0.389992	+	0.920818i	$0.372478\pi$
$348$	65.3957	+	11.5310i	3.50558	+	0.618128i
$349$	1.84501	+	1.06522i	0.0987611	+	0.0570198i	0.548567	−	0.836107i	$-0.315174\pi$
$349$	1.84501	+	1.06522i	0.0987611	+	0.0570198i	−0.449806	+	0.893126i	$0.648507\pi$
$350$	−7.37447	−	25.8709i	−0.394182	−	1.38286i
$351$	0.142896	−	0.810406i	0.00762725	−	0.0432563i
$352$	−8.17285	−	22.4547i	−0.435614	−	1.19684i
$353$			11.7653i			0.626204i	0.949719	+	0.313102i	$0.101368\pi$
$353$			11.7653i			0.626204i	−0.949719	+	0.313102i	$0.898632\pi$
$354$	−54.6457	+	31.5497i	−2.90439	+	1.67685i
$355$	0.474052	−	2.68848i	0.0251601	−	0.142690i
$356$	30.6240	+	11.1462i	1.62307	+	0.590748i
$357$	−5.62473	−	7.76736i	−0.297692	−	0.411093i
$358$	23.8472	−	20.0102i	1.26036	−	1.05757i
$359$	13.9440	−	11.7004i	0.735936	−	0.617523i	−0.195807	−	0.980642i	$-0.562733\pi$
$359$	13.9440	−	11.7004i	0.735936	−	0.617523i	0.931743	+	0.363119i	$0.118288\pi$
$360$	3.80315	−	6.58725i	0.200444	−	0.347178i
$361$	18.7735	−	2.92517i	0.988078	−	0.153956i
$362$	−0.291954	+	0.168560i	−0.0153448	+	0.00885931i
$363$	−4.97360	−	28.2067i	−0.261046	−	1.48047i
$364$	22.6225	+	1.61757i	1.18574	+	0.0847835i
$365$	4.39897	−	1.60110i	0.230253	−	0.0838052i
$366$	−2.70567	−	15.3446i	−0.141428	−	0.802077i
$367$	−3.02450	−	8.30974i	−0.157877	−	0.433765i	0.835383	−	0.549668i	$-0.185246\pi$
$367$	−3.02450	−	8.30974i	−0.157877	−	0.433765i	−0.993260	+	0.115904i	$0.963024\pi$
$368$	1.15670	+	2.00346i	0.0602971	+	0.104438i
$369$	−6.29282	+	10.8995i	−0.327591	+	0.567405i
$370$	−0.0251012	−	0.00442602i	−0.00130495	−	0.000230098i
$371$	18.8328	+	26.0068i	0.977752	+	1.35021i
$372$	31.7095	+	54.9224i	1.64406	+	2.84759i
$373$		−	22.1413i		−	1.14643i	−0.819404	−	0.573216i	$-0.805696\pi$
$373$		−	22.1413i		−	1.14643i	0.819404	−	0.573216i	$-0.194304\pi$
$374$	−15.1183	+	5.50263i	−0.781751	+	0.284534i
$375$	11.6260	+	13.8553i	0.600365	+	0.715487i
$376$	16.7575	+	14.0612i	0.864202	+	0.725152i
$377$	−13.1599	−	15.6834i	−0.677770	−	0.807735i
$378$	−1.77095	+	0.860318i	−0.0910881	+	0.0442500i
$379$			19.2663i			0.989643i	0.868995	+	0.494821i	$0.164766\pi$
$379$			19.2663i			0.989643i	−0.868995	+	0.494821i	$0.835234\pi$
$380$	−0.876905	−	11.3237i	−0.0449843	−	0.580893i
$381$	−18.8136	−	10.8620i	−0.963848	−	0.556478i
$382$	1.95603	−	5.37413i	0.100079	−	0.274965i
$383$	10.9742	+	3.99428i	0.560755	+	0.204098i	0.606818	−	0.794840i	$-0.292445\pi$
$383$	10.9742	+	3.99428i	0.560755	+	0.204098i	−0.0460637	+	0.998939i	$0.514668\pi$
$384$	16.3417	+	44.8985i	0.833935	+	2.29122i
$385$	−8.09341	−	5.47756i	−0.412478	−	0.279162i
$386$	−10.0077	−	8.39746i	−0.509379	−	0.427420i
$387$	−9.29701			−0.472593
$388$	−60.8939			−3.09142
$389$	11.7373	+	9.84872i	0.595102	+	0.499350i	0.889867	−	0.456220i	$-0.150797\pi$
$389$	11.7373	+	9.84872i	0.595102	+	0.499350i	−0.294765	+	0.955570i	$0.595241\pi$
$390$	−10.7044	+	3.89608i	−0.542038	+	0.197286i
$391$	−5.55705	+	3.20837i	−0.281032	+	0.162254i
$392$	−11.5356	−	18.5903i	−0.582636	−	0.938953i
$393$	0.743665	−	0.886265i	0.0375129	−	0.0447062i
$394$	−33.7089	+	5.94379i	−1.69823	+	0.299444i
$395$	−0.746466	+	4.23342i	−0.0375588	+	0.213006i
$396$	8.65260	+	49.0713i	0.434810	+	2.46593i
$397$	0.573920	+	0.683972i	0.0288042	+	0.0343276i	0.780254	−	0.625462i	$-0.215090\pi$
$397$	0.573920	+	0.683972i	0.0288042	+	0.0343276i	−0.751450	+	0.659790i	$0.770645\pi$
$398$	−35.8061			−1.79480
$399$	−14.1303	+	24.8116i	−0.707400	+	1.24213i
$400$	2.31998			0.115999
$401$	2.12446	+	2.53184i	0.106091	+	0.126434i	0.816477	−	0.577378i	$-0.195924\pi$
$401$	2.12446	+	2.53184i	0.106091	+	0.126434i	−0.710386	+	0.703812i	$0.751480\pi$
$402$	−7.75161	−	43.9616i	−0.386615	−	2.19260i
$403$	3.39529	−	19.2557i	0.169131	−	0.959192i
$404$	27.6516	−	4.87572i	1.37572	−	0.242576i
$405$	−4.29484	+	5.11839i	−0.213412	+	0.254335i
$406$	−11.9247	+	47.5099i	−0.591813	+	2.35788i
$407$	0.0583019	−	0.0336606i	0.00288992	−	0.00166849i
$408$	10.6458	−	3.87476i	0.527047	−	0.191829i
$409$	−0.375626	−	0.315188i	−0.0185735	−	0.0155850i	0.633454	−	0.773781i	$-0.281637\pi$
$409$	−0.375626	−	0.315188i	−0.0185735	−	0.0155850i	−0.652027	+	0.758196i	$0.726081\pi$
$410$	7.23239			0.357182
$411$	4.46385			0.220185
$412$	−29.7857	−	24.9932i	−1.46744	−	1.23133i
$413$	−12.7370	−	26.2190i	−0.626746	−	1.29015i
$414$	10.8537	+	29.8203i	0.533431	+	1.46559i
$415$	2.80172	+	1.01974i	0.137531	+	0.0500572i
$416$	4.40078	−	12.0911i	0.215766	−	0.592813i
$417$	−3.02934	−	1.74899i	−0.148348	−	0.0856485i
$418$	33.5318	+	34.2079i	1.64009	+	1.67316i
$419$			7.37917i			0.360496i	0.983621	+	0.180248i	$0.0576900\pi$
$419$			7.37917i			0.360496i	−0.983621	+	0.180248i	$0.942310\pi$
$420$	14.1352	+	9.56656i	0.689725	+	0.466800i
$421$	5.71555	+	6.81153i	0.278559	+	0.331974i	0.887125	−	0.461530i	$-0.152699\pi$
$421$	5.71555	+	6.81153i	0.278559	+	0.331974i	−0.608566	+	0.793504i	$0.708255\pi$
$422$	10.0289	+	8.41522i	0.488198	+	0.409646i
$423$	14.0811	+	16.7812i	0.684648	+	0.815932i
$424$	−35.6445	+	12.9735i	−1.73105	+	0.630051i
$425$			6.43499i			0.312143i
$426$	−10.0545	−	17.4148i	−0.487140	−	0.843751i
$427$	7.15960	−	0.741156i	0.346477	−	0.0358671i
$428$	25.3463	+	4.46924i	1.22516	+	0.216029i
$429$	15.0437	−	26.0565i	0.726317	−	1.25802i
$430$	2.67128	+	4.62679i	0.128821	+	0.223124i
$431$	9.35799	+	25.7109i	0.450758	+	1.23845i	0.932191	+	0.361966i	$0.117894\pi$
$431$	9.35799	+	25.7109i	0.450758	+	1.23845i	−0.481433	+	0.876483i	$0.659884\pi$
$432$	−0.0294847	−	0.167216i	−0.00141858	−	0.00804518i
$433$	25.3912	−	9.24165i	1.22022	−	0.444125i	0.349985	−	0.936755i	$-0.386187\pi$
$433$	25.3912	−	9.24165i	1.22022	−	0.444125i	0.870239	+	0.492630i	$0.163964\pi$
$434$	−42.0788	+	20.4416i	−2.01985	+	0.981227i
$435$	−2.67544	−	15.1732i	−0.128277	−	0.727497i
$436$	41.9543	−	24.2223i	2.00925	−	1.16004i
$437$	15.5397	+	11.1138i	0.743364	+	0.531645i
$438$	17.2412	−	29.8627i	0.823817	−	1.42689i
$439$	15.7642	−	13.2277i	0.752384	−	0.631325i	−0.183748	−	0.982973i	$-0.558823\pi$
$439$	15.7642	−	13.2277i	0.752384	−	0.631325i	0.936132	+	0.351648i	$0.114379\pi$
$440$	8.84387	−	7.42089i	0.421615	−	0.353777i
$441$	−8.14371	−	20.3398i	−0.387796	−	0.968562i
$442$	−8.14068	−	2.96297i	−0.387213	−	0.140934i
$443$	−1.63039	+	9.24641i	−0.0774622	+	0.439310i	0.921268	+	0.388929i	$0.127155\pi$
$443$	−1.63039	+	9.24641i	−0.0774622	+	0.439310i	−0.998730	+	0.0503814i	$0.983956\pi$
$444$	−0.101824	+	0.0587883i	−0.00483237	+	0.00278997i
$445$		−	7.56141i		−	0.358445i
$446$	−2.82071	−	7.74983i	−0.133564	−	0.366965i
$447$	−5.78262	+	32.7949i	−0.273509	+	1.55114i
$448$	−32.2919	+	9.20479i	−1.52565	+	0.434886i
$449$	−21.6942	−	12.5251i	−1.02381	−	0.591097i	−0.108605	−	0.994085i	$-0.534638\pi$
$449$	−21.6942	−	12.5251i	−1.02381	−	0.591097i	−0.915205	+	0.402988i	$0.867972\pi$
$450$	31.3409	+	5.52625i	1.47743	+	0.260510i
$451$	−14.6334	+	12.2789i	−0.689059	+	0.578189i
$452$	−49.7525	−	8.77270i	−2.34016	−	0.412633i
$453$	18.4772	−	50.7656i	0.868134	−	2.38518i
$454$	−33.3979	+	5.88895i	−1.56744	+	0.276382i
$455$	−1.44255	−	5.06070i	−0.0676277	−	0.237249i
$456$	−23.6119	−	24.0880i	−1.10573	−	1.12803i
$457$	−6.88648	−	11.9277i	−0.322136	−	0.557956i	0.658792	−	0.752325i	$-0.271068\pi$
$457$	−6.88648	−	11.9277i	−0.322136	−	0.557956i	−0.980929	+	0.194369i	$0.937734\pi$
$458$	−6.48611	−	2.36075i	−0.303076	−	0.110311i
$459$	0.463811	−	0.0817823i	0.0216488	−	0.00381727i
$460$	7.34084	−	8.74847i	0.342268	−	0.407900i
$461$	−1.57472	+	4.32651i	−0.0733421	+	0.201506i	−0.970947	−	0.239296i	$-0.923083\pi$
$461$	−1.57472	+	4.32651i	−0.0733421	+	0.201506i	0.897605	+	0.440801i	$0.145306\pi$
$462$	−71.6037	+	7.41235i	−3.33130	+	0.344854i
$463$	15.0544	−	26.0750i	0.699637	−	1.21181i	−0.268956	−	0.963153i	$-0.586679\pi$
$463$	15.0544	−	26.0750i	0.699637	−	1.21181i	0.968592	−	0.248654i	$-0.0799882\pi$
$464$	−3.65840	−	2.11218i	−0.169837	−	0.0980554i
$465$	9.45830	−	11.2720i	0.438618	−	0.522725i
$466$	5.28488	−	6.29827i	0.244817	−	0.291762i
$467$	23.8126	+	13.7482i	1.10191	+	0.636190i	0.936723	−	0.350072i	$-0.113843\pi$
$467$	23.8126	+	13.7482i	1.10191	+	0.636190i	0.165190	+	0.986262i	$0.447176\pi$
$468$	−13.4154	+	23.2361i	−0.620127	+	1.07409i
$469$	20.5119	−	2.12337i	0.947151	−	0.0980483i
$470$	4.30554	−	11.8294i	0.198600	−	0.545649i
$471$	6.07649	−	7.24167i	0.279990	−	0.333679i
$472$	33.9114	−	5.97950i	1.56090	−	0.275229i
$473$	−13.2600	−	4.82625i	−0.609697	−	0.221911i
$474$	15.8322	+	27.4222i	0.727199	+	1.25955i
$475$	17.4442	−	7.92336i	0.800393	−	0.363549i
$476$	3.55829	+	12.4831i	0.163094	+	0.572161i
$477$	−37.4087	+	6.59617i	−1.71283	+	0.302018i
$478$	2.67671	−	7.35419i	0.122430	−	0.336373i
$479$	30.1826	+	5.32200i	1.37908	+	0.243168i	0.813518	−	0.581540i	$-0.197550\pi$
$479$	30.1826	+	5.32200i	1.37908	+	0.243168i	0.565558	+	0.824708i	$0.308661\pi$
$480$	7.41774	−	6.22422i	0.338572	−	0.284095i
$481$	0.0356993	+	0.00629476i	0.00162775	+	0.000287016i
$482$	−43.5593	−	25.1490i	−1.98407	−	1.14550i
$483$	−27.6110	+	7.87049i	−1.25634	+	0.358120i
$484$	−6.73185	+	38.1782i	−0.305993	+	1.73537i
$485$	4.83228	+	13.2766i	0.219423	+	0.602859i
$486$			51.4491i			2.33378i
$487$	31.8325	−	18.3785i	1.44247	−	0.832809i	0.444453	−	0.895802i	$-0.353398\pi$
$487$	31.8325	−	18.3785i	1.44247	−	0.832809i	0.998014	+	0.0629938i	$0.0200648\pi$
$488$	−1.47654	+	8.37386i	−0.0668397	+	0.379067i
$489$	−4.38206	−	1.59494i	−0.198164	−	0.0721257i
$490$	−7.78249	+	9.89700i	−0.351577	+	0.447101i
$491$	−8.35818	+	7.01335i	−0.377199	+	0.316508i	−0.811602	−	0.584211i	$-0.801404\pi$
$491$	−8.35818	+	7.01335i	−0.377199	+	0.316508i	0.434402	+	0.900719i	$0.356960\pi$
$492$	25.5572	−	21.4451i	1.15221	−	0.966818i
$493$	5.85860	−	10.1474i	0.263858	−	0.457015i
$494$	1.99147	+	25.7163i	0.0896003	+	1.15703i
$495$	10.0123	−	5.78061i	0.450020	−	0.259819i
$496$	−0.700571	−	3.97313i	−0.0314565	−	0.178399i
$497$	8.35562	−	4.05910i	0.374801	−	0.182076i
$498$	20.6375	−	7.51143i	0.924788	−	0.336595i
$499$	−7.40664	−	42.0051i	−0.331567	−	1.88041i	−0.458806	−	0.888536i	$-0.651723\pi$
$499$	−7.40664	−	42.0051i	−0.331567	−	1.88041i	0.127240	−	0.991872i	$-0.459388\pi$
$500$	−8.37295	−	23.0045i	−0.374450	−	1.02879i
$501$	19.2318	+	33.3105i	0.859215	+	1.48820i
$502$	29.5730	−	51.2219i	1.31991	−	2.28615i
$503$	−12.0374	−	2.12253i	−0.536723	−	0.0946388i	−0.101285	−	0.994857i	$-0.532295\pi$
$503$	−12.0374	−	2.12253i	−0.536723	−	0.0946388i	−0.435438	+	0.900219i	$0.643407\pi$
$504$	25.7448	−	2.66508i	1.14676	−	0.118712i
$505$	−3.25736	−	5.64191i	−0.144951	−	0.251062i
$506$			48.1661i			2.14125i
$507$	−15.0213	+	5.46730i	−0.667118	+	0.242811i
$508$	18.9004	+	22.5246i	0.838571	+	0.999369i
$509$	−4.52411	−	3.79618i	−0.200528	−	0.168263i	0.536994	−	0.843586i	$-0.319560\pi$
$509$	−4.52411	−	3.79618i	−0.200528	−	0.168263i	−0.737522	+	0.675323i	$0.764004\pi$
$510$	−4.19065	−	4.99422i	−0.185565	−	0.221148i
$511$	13.1920	+	8.92824i	0.583580	+	0.394962i
$512$		−	5.95431i		−	0.263146i
$513$	−0.792785	−	1.15661i	−0.0350023	−	0.0510658i
$514$	39.4485	+	22.7756i	1.74000	+	1.00459i
$515$	−3.08555	+	8.47749i	−0.135966	+	0.373563i
$516$	23.1587	+	8.42906i	1.01950	+	0.371069i
$517$	11.3720	+	31.2443i	0.500140	+	1.37412i
$518$	−0.0378980	−	0.0780127i	−0.00166514	−	0.00342768i
$519$	−20.7111	−	17.3787i	−0.909116	−	0.762839i
$520$	6.21649			0.272611
$521$	−27.9634			−1.22510			−0.612550	−	0.790432i	$-0.709856\pi$
$521$	−27.9634			−1.22510			−0.612550	+	0.790432i	$0.709856\pi$
$522$	−44.3905	−	37.2481i	−1.94292	−	1.63030i
$523$	−19.7947	+	7.20469i	−0.865563	+	0.315039i	−0.736369	−	0.676580i	$-0.763461\pi$
$523$	−19.7947	+	7.20469i	−0.865563	+	0.315039i	−0.129194	+	0.991619i	$0.541239\pi$
$524$	−1.35614	+	0.782967i	−0.0592432	+	0.0342041i
$525$	−7.00934	+	27.9263i	−0.305913	+	1.21880i
$526$	3.99524	−	4.76134i	0.174201	−	0.207604i
$527$	11.0204	−	1.94319i	0.480055	−	0.0846467i
$528$	1.07803	−	6.11380i	0.0469152	−	0.266069i
$529$	−0.658050	−	3.73199i	−0.0286109	−	0.162260i
$530$	14.0312	+	16.7217i	0.609477	+	0.726346i
$531$	34.4834			1.49645
$532$	29.4582	−	25.0163i	1.27718	−	1.08459i
$533$	−10.2860			−0.445537
$534$	−35.8016	−	42.6667i	−1.54929	−	1.84637i
$535$	−1.03696	−	5.88087i	−0.0448315	−	0.254252i
$536$	−4.23021	+	23.9907i	−0.182717	+	1.03624i
$537$	−32.8125	+	5.78574i	−1.41597	+	0.249673i
$538$	18.1837	−	21.6705i	0.783955	−	0.934282i
$539$	−1.05633	−	33.2376i	−0.0454995	−	1.43164i
$540$	−0.725913	+	0.419106i	−0.0312383	+	0.0180354i
$541$	−23.8194	+	8.66955i	−1.02408	+	0.372733i	−0.798822	−	0.601567i	$-0.794543\pi$
$541$	−23.8194	+	8.66955i	−1.02408	+	0.372733i	−0.225253	+	0.974300i	$0.572321\pi$
$542$	−38.1581	−	32.0185i	−1.63903	−	1.37531i
$543$	0.360819			0.0154842
$544$	7.36405			0.315731
$545$	−8.61047	−	7.22504i	−0.368832	−	0.309487i
$546$	−32.1012	−	21.7258i	−1.37380	−	0.929779i
$547$	0.421143	+	1.15708i	0.0180068	+	0.0494732i	0.948370	−	0.317165i	$-0.102731\pi$
$547$	0.421143	+	1.15708i	0.0180068	+	0.0494732i	−0.930364	+	0.366638i	$0.880509\pi$
$548$	−5.67752	−	2.06645i	−0.242532	−	0.0882743i
$549$	−2.91233	+	8.00157i	−0.124295	+	0.341499i
$550$	41.8318	+	24.1516i	1.78371	+	1.02983i
$551$	−34.7215	−	3.38726i	−1.47919	−	0.144302i
$552$		−	33.9169i		−	1.44360i
$553$	−13.1572	+	6.39166i	−0.559500	+	0.271801i
$554$	−22.9809	−	27.3876i	−0.976365	−	1.16359i
$555$	0.0208979	+	0.0175354i	0.000887065	+	0.000744336i
$556$	3.04333	+	3.62690i	0.129066	+	0.153815i
$557$	−10.4939	+	3.81946i	−0.444640	+	0.161836i	−0.554630	−	0.832097i	$-0.687140\pi$
$557$	−10.4939	+	3.81946i	−0.444640	+	0.161836i	0.109990	+	0.993933i	$0.464918\pi$
$558$		−	55.3423i		−	2.34283i
$559$	−3.79914	−	6.58030i	−0.160687	−	0.278317i
$560$	−0.636838	−	0.879429i	−0.0269113	−	0.0371627i
$561$	16.9580	+	2.99015i	0.715968	+	0.126244i
$562$	17.9756	−	31.1347i	0.758256	−	1.31334i
$563$	6.68653	+	11.5814i	0.281804	+	0.488098i	0.971829	−	0.235687i	$-0.0757340\pi$
$563$	6.68653	+	11.5814i	0.281804	+	0.488098i	−0.690025	+	0.723785i	$0.742401\pi$
$564$	−19.8612	−	54.5683i	−0.836308	−	2.29774i
$565$	2.03545	+	11.5436i	0.0856320	+	0.485643i
$566$	−25.5341	+	9.29366i	−1.07328	+	0.390642i
$567$	−22.6779	−	1.62153i	−0.952382	−	0.0680978i
$568$	1.90558	+	10.8071i	0.0799565	+	0.453456i
$569$	0.0603250	−	0.0348287i	0.00252896	−	0.00146009i	−0.498735	−	0.866755i	$-0.666202\pi$
$569$	0.0603250	−	0.0348287i	0.00252896	−	0.00146009i	0.501264	+	0.865294i	$0.332869\pi$
$570$	−8.37857	+	17.5095i	−0.350940	+	0.733392i
$571$	13.4902	−	23.3656i	0.564545	−	0.977821i	−0.432547	−	0.901612i	$-0.642385\pi$
$571$	13.4902	−	23.3656i	0.564545	−	0.977821i	0.997092	−	0.0762095i	$-0.0242818\pi$
$572$	−31.1963	+	26.1768i	−1.30438	+	1.09451i
$573$	−4.68902	+	3.93455i	−0.195886	+	0.164368i
$574$	14.4342	+	19.9326i	0.602471	+	0.831971i
$575$	18.1033	+	6.58905i	0.754959	+	0.274783i
$576$	6.89785	−	39.1197i	0.287410	−	1.62999i
$577$	19.6037	−	11.3182i	0.816111	−	0.471182i	−0.0329625	−	0.999457i	$-0.510494\pi$
$577$	19.6037	−	11.3182i	0.816111	−	0.471182i	0.849074	+	0.528275i	$0.177161\pi$
$578$			34.3672i			1.42949i
$579$	4.78231	+	13.1393i	0.198746	+	0.546050i
$580$	−3.62125	+	20.5371i	−0.150364	+	0.852757i
$581$	2.78116	+	9.75677i	0.115382	+	0.404779i
$582$	90.1288	+	52.0359i	3.73596	+	2.15696i
$583$	−56.7791	−	10.0117i	−2.35155	−	0.414642i
$584$	−14.4152	+	12.0958i	−0.596506	+	0.500528i
$585$	6.13072	+	1.08101i	0.253474	+	0.0446943i
$586$	−8.58353	+	23.5831i	−0.354583	+	0.974208i
$587$	36.3539	−	6.41017i	1.50049	−	0.264576i	0.637755	−	0.770239i	$-0.279863\pi$
$587$	36.3539	−	6.41017i	1.50049	−	0.264576i	0.862731	+	0.505663i	$0.168752\pi$
$588$	1.84489	+	58.0494i	0.0760819	+	2.39392i
$589$	−18.8370	−	27.4817i	−0.776164	−	1.13237i
$590$	−9.90799	−	17.1611i	−0.407906	−	0.706513i
$591$	34.4258	+	12.5300i	1.41609	+	0.515414i
$592$	0.00736606	−	0.00129883i	0.000302743	−	5.33818e-5i
$593$	−22.6770	+	27.0254i	−0.931234	+	1.10980i	0.0625011	+	0.998045i	$0.480092\pi$
$593$	−22.6770	+	27.0254i	−0.931234	+	1.10980i	−0.993736	+	0.111757i	$0.964352\pi$
$594$	1.20912	−	3.32202i	0.0496107	−	0.136304i
$595$	2.43929	−	1.76641i	0.100001	−	0.0724159i
$596$	22.5366	−	39.0345i	0.923135	−	1.59892i
$597$	33.1888	+	19.1616i	1.35833	+	0.784232i
$598$	−16.6712	+	19.8679i	−0.681735	+	0.812460i
$599$	2.93138	−	3.49348i	0.119773	−	0.142740i	−0.702826	−	0.711362i	$-0.748079\pi$
$599$	2.93138	−	3.49348i	0.119773	−	0.142740i	0.822599	+	0.568622i	$0.192523\pi$
$600$	−29.4565	−	17.0067i	−1.20256	−	0.694297i
$601$	3.19121	−	5.52733i	0.130172	−	0.225465i	−0.793571	−	0.608478i	$-0.791780\pi$
$601$	3.19121	−	5.52733i	0.130172	−	0.225465i	0.923743	+	0.383013i	$0.125114\pi$
$602$	−7.42027	+	16.5961i	−0.302428	+	0.676407i
$603$	−8.34368	+	22.9241i	−0.339781	+	0.933541i
$604$	−47.0019	+	56.0146i	−1.91248	+	2.27920i
$605$	8.85814	−	1.56193i	0.360134	−	0.0635014i
$606$	−45.0935	−	16.4127i	−1.83180	−	0.666720i
$607$	2.30056	+	3.98469i	0.0933769	+	0.161734i	0.908930	−	0.416949i	$-0.136900\pi$
$607$	2.30056	+	3.98469i	0.0933769	+	0.161734i	−0.815553	+	0.578682i	$0.803567\pi$
$608$	−9.06730	−	19.9627i	−0.367728	−	0.809594i
$609$	36.4780	−	37.6557i	1.47816	−	1.52589i
$610$	4.81889	−	0.849700i	0.195111	−	0.0344033i
$611$	−6.12342	+	16.8240i	−0.247727	+	0.680624i
$612$	−15.1225	−	2.66650i	−0.611290	−	0.107787i
$613$	−33.5461	+	28.1485i	−1.35491	+	1.13691i	−0.377398	+	0.926051i	$0.623181\pi$
$613$	−33.5461	+	28.1485i	−1.35491	+	1.13691i	−0.977517	+	0.210857i	$0.932374\pi$
$614$	−8.61386	−	1.51886i	−0.347627	−	0.0612960i
$615$	−6.70374	−	3.87041i	−0.270321	−	0.156070i
$616$	38.1025	+	9.56350i	1.53519	+	0.385324i
$617$	−6.75060	+	38.2846i	−0.271769	+	1.54128i	0.477272	+	0.878756i	$0.341626\pi$
$617$	−6.75060	+	38.2846i	−0.271769	+	1.54128i	−0.749041	+	0.662523i	$0.769485\pi$
$618$	22.7282	+	62.4453i	0.914263	+	2.51192i
$619$			31.6291i			1.27128i	0.771986	+	0.635640i	$0.219264\pi$
$619$			31.6291i			1.27128i	−0.771986	+	0.635640i	$0.780736\pi$
$620$	−17.2480	+	9.95817i	−0.692698	+	0.399930i
$621$	0.244840	−	1.38856i	0.00982510	−	0.0557209i
$622$	−35.0847	−	12.7698i	−1.40677	−	0.512022i
$623$	20.8394	−	15.0908i	0.834913	−	0.604602i
$624$	2.56077	−	2.14874i	0.102513	−	0.0860185i
$625$	12.4843	−	10.4756i	0.499374	−	0.419024i
$626$	10.1385	−	17.5603i	0.405215	−	0.701853i
$627$	−12.7745	−	49.6520i	−0.510163	−	1.98291i
$628$	−11.0810	+	6.39762i	−0.442180	+	0.255293i
$629$	0.00360261	+	0.0204314i	0.000143645	+	0.000814654i
$630$	−6.50831	−	13.3973i	−0.259297	−	0.533760i
$631$	−29.6249	+	10.7826i	−1.17935	+	0.429248i	−0.855972	−	0.517023i	$-0.827040\pi$
$631$	−29.6249	+	10.7826i	−1.17935	+	0.429248i	−0.323377	+	0.946270i	$0.604818\pi$
$632$	−3.00063	−	17.0174i	−0.119359	−	0.676916i
$633$	−4.79242	−	13.1671i	−0.190481	−	0.523344i
$634$	12.7679	+	22.1147i	0.507079	+	0.878287i
$635$	3.41115	−	5.90829i	0.135367	−	0.234463i
$636$	99.1648	+	17.4854i	3.93214	+	0.693342i
$637$	11.0684	−	14.0757i	0.438546	−	0.557699i
$638$	−43.9766	−	76.1697i	−1.74105	−	3.01559i
$639$			10.9894i			0.434733i
$640$	−14.1001	+	5.13202i	−0.557355	+	0.202861i
$641$	−2.29094	−	2.73023i	−0.0904865	−	0.107838i	0.718901	−	0.695112i	$-0.244645\pi$
$641$	−2.29094	−	2.73023i	−0.0904865	−	0.107838i	−0.809388	+	0.587275i	$0.800201\pi$
$642$	−33.6959	−	28.2742i	−1.32987	−	1.11589i
$643$	26.8187	+	31.9613i	1.05763	+	1.26043i	0.964305	+	0.264795i	$0.0853044\pi$
$643$	26.8187	+	31.9613i	1.05763	+	1.26043i	0.0933228	+	0.995636i	$0.470251\pi$
$644$	38.7616	+	2.77156i	1.52742	+	0.109215i
$645$		−	5.71813i		−	0.225151i
$646$	−13.4405	+	6.10484i	−0.528810	+	0.240192i
$647$	35.3430	+	20.4053i	1.38948	+	0.802214i	0.993256	−	0.115941i	$-0.0369885\pi$
$647$	35.3430	+	20.4053i	1.38948	+	0.802214i	0.396220	+	0.918156i	$0.370322\pi$
$648$	9.18614	−	25.2387i	0.360866	−	0.991470i
$649$	49.1825	+	17.9010i	1.93058	+	0.702675i
$650$	8.89578	+	24.4410i	0.348921	+	0.958654i
$651$	49.9424	+	3.57101i	1.95740	+	0.139959i
$652$	4.83516	+	4.05718i	0.189359	+	0.158891i
$653$	−12.1028			−0.473618			−0.236809	−	0.971556i	$-0.576102\pi$
$653$	−12.1028			−0.473618			−0.236809	+	0.971556i	$0.576102\pi$
$654$	−82.7952			−3.23755
$655$	0.278326	+	0.233543i	0.0108751	+	0.00912530i
$656$	−1.99438	+	0.725896i	−0.0778676	+	0.0283415i
$657$	−16.3197	+	9.42220i	−0.636693	+	0.367595i
$658$	41.1949	−	11.7426i	1.60594	−	0.457773i
$659$	−22.8327	+	27.2110i	−0.889437	+	1.05999i	0.108391	+	0.994108i	$0.465430\pi$
$659$	−22.8327	+	27.2110i	−0.889437	+	1.05999i	−0.997827	+	0.0658812i	$0.979014\pi$
$660$	−30.1814	+	5.32179i	−1.17481	+	0.207150i
$661$	4.93553	−	27.9908i	0.191970	−	1.08871i	−0.724699	−	0.689066i	$-0.758021\pi$
$661$	4.93553	−	27.9908i	0.191970	−	1.08871i	0.916668	−	0.399649i	$-0.130868\pi$
$662$	4.36059	+	24.7301i	0.169479	+	0.961164i
$663$	5.96002	+	7.10287i	0.231468	+	0.275853i
$664$	−11.9851			−0.465111
$665$	−7.79193	−	4.43754i	−0.302158	−	0.172080i
$666$	0.102603			0.00397578
$667$	−22.5483	−	26.8721i	−0.873075	−	1.04049i
$668$	−9.04034	−	51.2703i	−0.349781	−	1.98371i
$669$	−1.53279	+	8.69287i	−0.0592610	+	0.336086i
$670$	13.8059	−	2.43435i	0.533367	−	0.0940470i
$671$	−8.30753	+	9.90053i	−0.320709	+	0.382206i
$672$	31.9582	+	8.02131i	1.23281	+	0.309429i
$673$	13.7134	−	7.91745i	0.528614	−	0.305195i	−0.211838	−	0.977305i	$-0.567945\pi$
$673$	13.7134	−	7.91745i	0.528614	−	0.305195i	0.740452	+	0.672110i	$0.234612\pi$
$674$	60.1768	−	21.9026i	2.31792	−	0.843655i
$675$	−1.08318	−	0.908896i	−0.0416916	−	0.0349834i
$676$	21.6364			0.832168
$677$	−6.08823			−0.233990			−0.116995	−	0.993133i	$-0.537326\pi$
$677$	−6.08823			−0.233990			−0.116995	+	0.993133i	$0.537326\pi$
$678$	66.1419	+	55.4996i	2.54016	+	2.13145i
$679$	−26.9464	+	39.8149i	−1.03411	+	1.52796i
$680$	1.21685	+	3.34325i	0.0466639	+	0.128208i
$681$	34.1082	+	12.4144i	1.30703	+	0.475719i
$682$	28.7293	−	78.9330i	1.10010	−	3.02250i
$683$	5.24451	+	3.02792i	0.200676	+	0.115860i	0.596971	−	0.802263i	$-0.296371\pi$
$683$	5.24451	+	3.02792i	0.200676	+	0.115860i	−0.396295	+	0.918123i	$0.629704\pi$
$684$	11.3918	+	44.2777i	0.435575	+	1.69300i
$685$			1.40184i			0.0535617i
$686$	−42.8084	−	1.69655i	−1.63443	−	0.0647745i
$687$	4.74866	+	5.65923i	0.181173	+	0.215913i
$688$	−1.20100	−	1.00776i	−0.0457878	−	0.0384205i
$689$	−19.9554	−	23.7820i	−0.760242	−	0.906021i
$690$	−18.3410	+	6.67558i	−0.698230	+	0.254135i
$691$		−	15.5071i		−	0.589917i	−0.955510	−	0.294959i	$-0.904694\pi$
$691$		−	15.5071i		−	0.589917i	0.955510	−	0.294959i	$-0.0953059\pi$
$692$	18.2971	+	31.6915i	0.695552	+	1.20473i
$693$	35.9137	+	16.0573i	1.36425	+	0.609968i
$694$	−24.8796	−	4.38695i	−0.944417	−	0.166526i
$695$	0.549260	−	0.951347i	0.0208346	−	0.0360866i
$696$	30.9668	+	53.6361i	1.17379	+	2.03307i
$697$	−2.01344	−	5.53187i	−0.0762643	−	0.209534i
$698$	0.855778	+	4.85336i	0.0323917	+	0.183702i
$699$	−8.26910	+	3.00971i	−0.312766	+	0.113838i
$700$	21.8430	−	32.2743i	0.825588	−	1.21986i
$701$	−6.88017	−	39.0194i	−0.259860	−	1.47374i	−0.783282	−	0.621667i	$-0.786456\pi$
$701$	−6.88017	−	39.0194i	−0.259860	−	1.47374i	0.523421	−	0.852074i	$-0.324655\pi$
$702$	1.64856	−	0.951796i	0.0622209	−	0.0359232i
$703$	0.0509502	−	0.0349231i	0.00192162	−	0.00131715i
$704$	30.1459	−	52.2143i	1.13617	−	1.96790i
$705$	−10.3213	+	8.66062i	−0.388723	+	0.326178i
$706$	−20.8487	+	17.4942i	−0.784653	+	0.658402i
$707$	9.04827	−	20.2373i	0.340295	−	0.761102i
$708$	−85.8973	−	31.2641i	−3.22822	−	1.17498i
$709$	−7.34441	+	41.6522i	−0.275825	+	1.56428i	0.460503	+	0.887658i	$0.347669\pi$
$709$	−7.34441	+	41.6522i	−0.275825	+	1.56428i	−0.736329	+	0.676624i	$0.763442\pi$
$710$	5.46902	−	3.15754i	0.205249	−	0.118500i
$711$		−	17.3044i		−	0.648966i
$712$	10.3958	+	28.5621i	0.389598	+	1.07041i
$713$	5.81753	−	32.9929i	0.217868	−	1.23559i
$714$	5.40060	−	21.5168i	0.202112	−	0.805248i
$715$	8.18288	+	4.72439i	0.306022	+	0.176682i
$716$	44.4123	+	7.83109i	1.65977	+	0.292662i
$717$	−6.41665	+	5.38421i	−0.239634	+	0.201077i
$718$	41.4675	+	7.31183i	1.54755	+	0.272875i
$719$	2.91685	−	8.01399i	0.108780	−	0.298871i	−0.873344	−	0.487103i	$-0.838053\pi$
$719$	2.91685	−	8.01399i	0.108780	−	0.298871i	0.982125	+	0.188232i	$0.0602757\pi$
$720$	1.26499	−	0.223052i	0.0471433	−	0.00831264i
$721$	−29.5222	+	8.41527i	−1.09946	+	0.313401i
$722$	33.0984	+	28.9181i	1.23179	+	1.07622i
$723$	26.9169	+	46.6214i	1.00105	+	1.73387i
$724$	−0.458922	−	0.167034i	−0.0170557	−	0.00620776i
$725$	−34.6444	+	6.10874i	−1.28666	+	0.226873i
$726$	42.5883	−	50.7548i	1.58060	−	1.88369i
$727$	12.0803	−	33.1903i	0.448033	−	1.23096i	−0.486057	−	0.873927i	$-0.661565\pi$
$727$	12.0803	−	33.1903i	0.448033	−	1.23096i	0.934091	−	0.357035i	$-0.116212\pi$
$728$	12.4067	+	17.1328i	0.459823	+	0.634983i
$729$	14.6430	−	25.3624i	0.542332	−	0.939347i
$730$	9.37819	+	5.41450i	0.347102	+	0.200400i
$731$	2.79525	−	3.33125i	0.103386	−	0.123211i
$732$	14.5091	−	17.2913i	0.536272	−	0.639105i
$733$	33.4289	+	19.3002i	1.23473	+	0.712869i	0.968011	−	0.250907i	$-0.0807287\pi$
$733$	33.4289	+	19.3002i	1.23473	+	0.712869i	0.266714	+	0.963776i	$0.414062\pi$
$734$	10.2281	−	17.7156i	0.377525	−	0.653893i
$735$	12.5100	−	5.00880i	0.461439	−	0.184752i
$736$	7.54035	−	20.7170i	0.277941	−	0.763637i
$737$	−23.8007	+	28.3645i	−0.876708	+	1.04482i
$738$	−28.6715	+	5.05555i	−1.05541	+	0.186097i
$739$	−25.2390	−	9.18625i	−0.928432	−	0.337922i	−0.166844	−	0.985983i	$-0.553358\pi$
$739$	−25.2390	−	9.18625i	−0.928432	−	0.337922i	−0.761588	+	0.648062i	$0.775580\pi$
$740$	−0.0184621	−	0.0319773i	−0.000678681	−	0.00117551i
$741$	11.9162	−	24.9023i	0.437751	−	0.914809i
$742$	−18.0824	+	72.0431i	−0.663825	+	2.64478i
$743$	9.42977	−	1.66272i	0.345945	−	0.0609994i	0.00202364	−	0.999998i	$-0.499356\pi$
$743$	9.42977	−	1.66272i	0.345945	−	0.0609994i	0.343921	+	0.938999i	$0.388245\pi$
$744$	−20.2302	+	55.5819i	−0.741674	+	2.03773i
$745$	−10.2990	−	1.81600i	−0.377327	−	0.0665330i
$746$	39.2355	−	32.9225i	1.43651	−	1.20538i
$747$	−11.8197	−	2.08413i	−0.432461	−	0.0762545i
$748$	−20.1845	−	11.6535i	−0.738018	−	0.426095i
$749$	14.1383	−	14.5947i	0.516601	−	0.533280i
$750$	−7.26535	+	41.2038i	−0.265293	+	1.50455i
$751$	2.27802	+	6.25881i	0.0831262	+	0.228387i	0.974291	−	0.225292i	$-0.0723335\pi$
$751$	2.27802	+	6.25881i	0.0831262	+	0.228387i	−0.891165	+	0.453679i	$0.850111\pi$
$752$			3.69417i			0.134713i
$753$	−54.8228	+	31.6519i	−1.99785	+	1.15346i
$754$	8.22391	−	46.6401i	0.299497	−	1.69853i
$755$	15.9426	+	5.80265i	0.580212	+	0.211180i
$756$	−2.60382	−	1.16419i	−0.0947000	−	0.0423412i
$757$	−4.57905	+	3.84228i	−0.166429	+	0.139650i	−0.722198	−	0.691686i	$-0.756868\pi$
$757$	−4.57905	+	3.84228i	−0.166429	+	0.139650i	0.555770	+	0.831336i	$0.312424\pi$
$758$	−34.1409	+	28.6476i	−1.24005	+	1.04053i
$759$	25.7761	−	44.6455i	0.935612	−	1.62053i
$760$	7.56470	−	7.41518i	0.274401	−	0.268977i
$761$	−5.06478	+	2.92415i	−0.183598	+	0.106000i	−0.588982	−	0.808146i	$-0.700471\pi$
$761$	−5.06478	+	2.92415i	−0.183598	+	0.106000i	0.405384	+	0.914146i	$0.367138\pi$
$762$	−8.72637	−	49.4897i	−0.316123	−	1.79282i
$763$	2.72784	−	38.1502i	0.0987543	−	1.38113i
$764$	7.78533	−	2.83363i	0.281663	−	0.102517i
$765$	0.618684	+	3.50873i	0.0223686	+	0.126858i
$766$	9.23977	+	25.3861i	0.333846	+	0.917235i
$767$	14.0913	+	24.4069i	0.508808	+	0.881282i
$768$	−23.8413	+	41.2944i	−0.860301	+	1.49008i
$769$	−42.3995	−	7.47618i	−1.52897	−	0.269598i	−0.655017	−	0.755614i	$-0.727338\pi$
$769$	−42.3995	−	7.47618i	−1.52897	−	0.269598i	−0.873950	+	0.486016i	$0.838450\pi$
$770$	−2.32780	−	22.4867i	−0.0838883	−	0.810364i
$771$	−24.3767	−	42.2217i	−0.877906	−	1.52058i
$772$		−	18.9256i		−	0.681147i
$773$	−30.7620	+	11.1964i	−1.10643	+	0.402708i	−0.829683	−	0.558234i	$-0.811479\pi$
$773$	−30.7620	+	11.1964i	−1.10643	+	0.402708i	−0.276748	+	0.960942i	$0.589257\pi$
$774$	−13.8240	−	16.4748i	−0.496893	−	0.592174i
$775$	−25.7369	−	21.5958i	−0.924497	−	0.775745i
$776$	−36.5065	−	43.5067i	−1.31051	−	1.56180i
$777$	−0.00662054	+	0.0925915i	−0.000237510	+	0.00332170i
$778$			35.4434i			1.27071i
$779$	−12.5168	+	12.2694i	−0.448462	+	0.439598i
$780$	−14.2914	−	8.25115i	−0.511715	−	0.295439i
$781$	−5.70479	+	15.6738i	−0.204133	+	0.560852i
$782$	−13.9483	−	5.07678i	−0.498792	−	0.181545i
$783$	0.880591	+	2.41940i	0.0314698	+	0.0864624i
$784$	1.15274	−	3.51028i	0.0411693	−	0.125367i
$785$	2.27420	+	1.90828i	0.0811698	+	0.0681096i
$786$	2.67629			0.0954600
$787$	24.1409			0.860529			0.430265	−	0.902703i	$-0.358420\pi$
$787$	24.1409			0.860529			0.430265	+	0.902703i	$0.358420\pi$
$788$	−37.9853	−	31.8734i	−1.35317	−	1.13544i
$789$	−6.25124	+	2.27527i	−0.222550	+	0.0810016i
$790$	−8.61179	+	4.97202i	−0.306394	+	0.176896i
$791$	−27.7521	+	28.6481i	−0.986752	+	1.01861i
$792$	−29.8726	+	35.6008i	−1.06148	+	1.26502i
$793$	−6.85351	+	1.20846i	−0.243375	+	0.0429136i
$794$	−0.358655	+	2.03404i	−0.0127282	+	0.0721852i
$795$	−4.05698	−	23.0083i	−0.143886	−	0.816020i
$796$	−33.3421	−	39.7355i	−1.18178	−	1.40839i
$797$	−5.60565			−0.198562			−0.0992811	−	0.995059i	$-0.531654\pi$
$797$	−5.60565			−0.198562			−0.0992811	+	0.995059i	$0.531654\pi$
$798$	−64.9782	+	11.8534i	−2.30020	+	0.419607i
$799$	−10.2466			−0.362499
$800$	−14.2116	−	16.9367i	−0.502454	−	0.598802i
$801$	5.28554	+	29.9758i	0.186756	+	1.05914i
$802$	−1.32762	+	7.52933i	−0.0468800	+	0.265870i
$803$	−28.1676	+	4.96670i	−0.994011	+	0.175271i
$804$	41.5679	−	49.5387i	1.46599	−	1.74709i
$805$	−2.47168	−	8.67106i	−0.0871153	−	0.305615i
$806$	39.1706	−	22.6152i	1.37973	−	0.796585i
$807$	−28.4515	+	10.3555i	−1.00154	+	0.364531i
$808$	20.0609	+	16.8331i	0.705741	+	0.592187i
$809$	34.0595			1.19747			0.598735	−	0.800947i	$-0.295670\pi$
$809$	34.0595			1.19747			0.598735	+	0.800947i	$0.295670\pi$
$810$	−15.4562			−0.543075
$811$	15.5675	+	13.0627i	0.546649	+	0.458693i	0.873804	−	0.486278i	$-0.161646\pi$
$811$	15.5675	+	13.0627i	0.546649	+	0.458693i	−0.327156	+	0.944970i	$0.606090\pi$
$812$	−63.8279	+	31.0071i	−2.23992	+	1.08814i
$813$	18.2343	+	50.0984i	0.639506	+	1.75703i
$814$	0.146339	+	0.0532631i	0.00512919	+	0.00186687i
$815$	0.500881	−	1.37616i	0.0175451	−	0.0482048i
$816$	1.65686	+	0.956588i	0.0580017	+	0.0334873i
$817$	−12.4722	−	3.47571i	−0.436348	−	0.121600i
$818$		−	1.13429i		−	0.0396596i
$819$	9.25623	+	19.0538i	0.323439	+	0.665795i
$820$	6.73469	+	8.02609i	0.235186	+	0.280283i
$821$	−15.5044	−	13.0098i	−0.541108	−	0.454043i	0.330809	−	0.943698i	$-0.392679\pi$
$821$	−15.5044	−	13.0098i	−0.541108	−	0.454043i	−0.871917	+	0.489654i	$0.837123\pi$
$822$	6.63743	+	7.91018i	0.231507	+	0.275899i
$823$	−35.0694	+	12.7642i	−1.22244	+	0.444933i	−0.871003	−	0.491278i	$-0.836530\pi$
$823$	−35.0694	+	12.7642i	−1.22244	+	0.444933i	−0.351440	+	0.936211i	$0.614308\pi$
$824$		−	36.2646i		−	1.26334i
$825$	−25.8494	−	44.7725i	−0.899961	−	1.55878i
$826$	27.5224	−	61.5563i	0.957626	−	2.14182i
$827$	−7.92683	−	1.39771i	−0.275643	−	0.0486033i	0.0341178	−	0.999418i	$-0.489138\pi$
$827$	−7.92683	−	1.39771i	−0.275643	−	0.0486033i	−0.309761	+	0.950815i	$0.600249\pi$
$828$	−22.9861	+	39.8131i	−0.798822	+	1.38360i
$829$	−27.1543	−	47.0327i	−0.943109	−	1.63351i	−0.759493	−	0.650515i	$-0.774553\pi$
$829$	−27.1543	−	47.0327i	−0.943109	−	1.63351i	−0.183616	−	0.982998i	$-0.558780\pi$
$830$	2.35892	+	6.48108i	0.0818793	+	0.224962i
$831$	6.64469	+	37.6839i	0.230502	+	1.30724i
$832$	30.5071	−	11.1037i	1.05764	−	0.384951i
$833$	9.73654	+	3.19739i	0.337351	+	0.110783i
$834$	−1.40511	−	7.96878i	−0.0486550	−	0.275936i
$835$	−10.4610	+	6.03964i	−0.362017	+	0.209010i
$836$	−6.73770	+	69.0656i	−0.233028	+	2.38868i
$837$	−1.22946	+	2.12948i	−0.0424963	+	0.0736057i
$838$	−13.0763	+	10.9723i	−0.451712	+	0.379032i
$839$	−5.50750	+	4.62134i	−0.190140	+	0.159547i	−0.732888	−	0.680349i	$-0.761828\pi$
$839$	−5.50750	+	4.62134i	−0.190140	+	0.159547i	0.542748	+	0.839895i	$0.317384\pi$
$840$	1.63916	+	15.8344i	0.0565564	+	0.546337i
$841$	32.9415	+	11.9897i	1.13591	+	0.413438i
$842$	−3.57177	+	20.2565i	−0.123091	+	0.698086i
$843$	−33.3234	+	19.2393i	−1.14772	+	0.662636i
$844$			18.9656i			0.652823i
$845$	−1.71697	−	4.71734i	−0.0590656	−	0.162281i
$846$	−8.79960	+	49.9050i	−0.302537	+	1.71577i
$847$	21.9835	+	21.2960i	0.755363	+	0.731738i
$848$	−5.54753	−	3.20287i	−0.190503	−	0.109987i
$849$	28.6412	+	5.05022i	0.982965	+	0.173323i
$850$	−11.4031	+	9.56838i	−0.391125	+	0.328193i
$851$	0.0611677	+	0.0107855i	0.00209680	+	0.000369723i
$852$	9.96343	−	27.3743i	0.341341	−	0.937828i
$853$	−34.1094	+	6.01440i	−1.16788	+	0.205929i	−0.723770	−	0.690041i	$-0.757592\pi$
$853$	−34.1094	+	6.01440i	−1.16788	+	0.205929i	−0.444113	+	0.895971i	$0.646481\pi$
$854$	11.9592	+	11.5851i	0.409235	+	0.396436i
$855$	8.74979	−	5.99742i	0.299236	−	0.205107i
$856$	12.0022	+	20.7885i	0.410228	+	0.710535i
$857$	−33.3903	−	12.1531i	−1.14059	−	0.415142i	−0.298465	−	0.954421i	$-0.596475\pi$
$857$	−33.3903	−	12.1531i	−1.14059	−	0.415142i	−0.842127	+	0.539279i	$0.818697\pi$
$858$	68.5424	−	12.0859i	2.34000	−	0.412605i
$859$	18.6004	−	22.1670i	0.634636	−	0.756330i	−0.348877	−	0.937169i	$-0.613437\pi$
$859$	18.6004	−	22.1670i	0.634636	−	0.756330i	0.983513	+	0.180839i	$0.0578813\pi$
$860$	−2.64710	+	7.27283i	−0.0902652	+	0.248002i
$861$	−2.71221	−	26.2001i	−0.0924320	−	0.892897i
$862$	−31.6463	+	54.8131i	−1.07788	+	1.86694i
$863$	−30.4367	−	17.5726i	−1.03608	−	0.598179i	−0.117357	−	0.993090i	$-0.537442\pi$
$863$	−30.4367	−	17.5726i	−1.03608	−	0.598179i	−0.918719	+	0.394911i	$0.870775\pi$
$864$	−1.04012	+	1.23957i	−0.0353856	+	0.0421709i
$865$	5.45767	−	6.50419i	0.185566	−	0.221149i
$866$	54.1316	+	31.2529i	1.83947	+	1.06202i
$867$	18.3916	−	31.8552i	0.624611	−	1.08186i
$868$	−61.8681	−	27.6617i	−2.09994	−	0.938901i
$869$	8.98305	−	24.6807i	0.304729	−	0.837236i
$870$	22.9095	−	27.3024i	0.776703	−	0.925639i
$871$	−19.6349	+	3.46217i	−0.665305	+	0.117311i
$872$	42.4581	+	15.4535i	1.43781	+	0.523321i
$873$	−28.4372	−	49.2547i	−0.962454	−	1.66702i
$874$	3.41220	+	44.0626i	0.115419	+	1.49044i
$875$	−18.7464	−	4.70524i	−0.633745	−	0.159066i
$876$	49.1947	−	8.67435i	1.66213	−	0.293079i
$877$	6.35073	−	17.4485i	0.214449	−	0.589194i	−0.785095	−	0.619375i	$-0.787386\pi$
$877$	6.35073	−	17.4485i	0.214449	−	0.589194i	0.999544	+	0.0301810i	$0.00960835\pi$
$878$	46.8805	+	8.26629i	1.58214	+	0.278974i
$879$	20.5766	−	17.2658i	0.694031	−	0.582361i
$880$	1.92000	+	0.338548i	0.0647233	+	0.0114125i
$881$	32.3338	+	18.6679i	1.08935	+	0.628938i	0.933404	−	0.358827i	$-0.116823\pi$
$881$	32.3338	+	18.6679i	1.08935	+	0.628938i	0.155949	+	0.987765i	$0.450156\pi$
$882$	23.9341	−	44.6749i	0.805902	−	1.50428i
$883$	7.77110	−	44.0721i	0.261518	−	1.48314i	−0.517251	−	0.855834i	$-0.673045\pi$
$883$	7.77110	−	44.0721i	0.261518	−	1.48314i	0.778769	−	0.627310i	$-0.215844\pi$
$884$	−4.29235	−	11.7931i	−0.144367	−	0.396646i
$885$			21.2090i			0.712934i
$886$	−18.8094	+	10.8596i	−0.631914	+	0.364836i
$887$	8.21963	−	46.6158i	0.275988	−	1.56521i	−0.459817	−	0.888014i	$-0.652085\pi$
$887$	8.21963	−	46.6158i	0.275988	−	1.56521i	0.735805	−	0.677193i	$-0.236804\pi$
$888$	−0.103047	−	0.0375061i	−0.00345803	−	0.00125862i
$889$	23.0912	−	2.39039i	0.774455	−	0.0801710i
$890$	13.3992	−	11.2433i	0.449143	−	0.376876i
$891$	31.2727	−	26.2409i	1.04767	−	0.879103i
$892$	5.97372	−	10.3468i	0.200015	−	0.346436i
$893$	12.6166	+	27.7768i	0.422198	+	0.929516i
$894$	−66.7126	+	38.5166i	−2.23120	+	1.28819i
$895$	−1.81698	−	10.3046i	−0.0607348	−	0.344444i
$896$	−42.2845	−	28.6178i	−1.41263	−	0.956054i
$897$	26.0849	−	9.49413i	0.870950	−	0.317000i
$898$	−10.0625	−	57.0672i	−0.335789	−	1.90436i
$899$	20.9233	+	57.4863i	0.697831	+	1.91727i
$900$	23.0515	+	39.9264i	0.768383	+	1.33088i
$901$	8.88387	−	15.3873i	0.295964	−	0.512625i
$902$	−43.5176	−	7.67333i	−1.44898	−	0.255494i
$903$	15.7593	−	11.4121i	0.524436	−	0.379770i
$904$	−23.5593	−	40.8059i	−0.783570	−	1.35718i
$905$			0.113313i			0.00376665i
$906$	117.434	−	42.7424i	3.90147	−	1.42002i
$907$	27.6356	+	32.9349i	0.917626	+	1.09358i	0.995323	+	0.0966072i	$0.0307991\pi$
$907$	27.6356	+	32.9349i	0.917626	+	1.09358i	−0.0776964	+	0.996977i	$0.524756\pi$
$908$	−37.6348	−	31.5794i	−1.24896	−	1.04800i
$909$	16.8570	+	20.0894i	0.559111	+	0.666322i
$910$	6.82286	−	10.0812i	0.226176	−	0.334188i
$911$		−	4.45166i		−	0.147490i	−0.997277	−	0.0737450i	$-0.976505\pi$
$911$		−	4.45166i		−	0.147490i	0.997277	−	0.0737450i	$-0.0234951\pi$
$912$	0.553069	−	5.66930i	0.0183140	−	0.187729i
$913$	−15.7762	−	9.10837i	−0.522115	−	0.301443i
$914$	10.8969	−	29.9389i	0.360437	−	0.990291i
$915$	−4.92137	−	1.79123i	−0.162696	−	0.0592163i
$916$	−3.41994	−	9.39621i	−0.112998	−	0.310460i
$917$	−0.0881750	+	1.23317i	−0.00291180	+	0.0407229i
$918$	0.834576	+	0.700293i	0.0275451	+	0.0231131i
$919$	−13.9102			−0.458857			−0.229428	−	0.973326i	$-0.573686\pi$
$919$	−13.9102			−0.458857			−0.229428	+	0.973326i	$0.573686\pi$
$920$	10.6514			0.351167
$921$	7.17142	+	6.01754i	0.236306	+	0.198285i
$922$	−10.0083	+	3.64273i	−0.329606	+	0.119967i
$923$	−7.77814	+	4.49071i	−0.256020	+	0.147813i
$924$	−74.9021	−	72.5594i	−2.46410	−	2.38703i
$925$	0.0400380	−	0.0477154i	0.00131644	−	0.00156887i
$926$	68.5910	−	12.0944i	2.25404	−	0.397448i
$927$	6.30621	−	35.7643i	0.207123	−	1.17465i
$928$	6.99069	+	39.6462i	0.229481	+	1.30145i
$929$	25.8347	+	30.7885i	0.847607	+	1.01014i	0.999763	+	0.0217826i	$0.00693416\pi$
$929$	25.8347	+	30.7885i	0.847607	+	1.01014i	−0.152155	+	0.988357i	$0.548621\pi$
$930$	34.0384			1.11616
$931$	−3.32096	−	30.3310i	−0.108840	−	0.994059i
$932$	11.9107			0.390147
$933$	25.6865	+	30.6120i	0.840938	+	1.00219i
$934$	11.0451	+	62.6397i	0.361406	+	2.04963i
$935$	−0.939040	+	5.32556i	−0.0307099	+	0.174164i
$936$	−24.6441	+	4.34543i	−0.805519	+	0.142035i
$937$	12.6337	−	15.0562i	0.412724	−	0.491865i	−0.519132	−	0.854694i	$-0.673745\pi$
$937$	12.6337	−	15.0562i	0.412724	−	0.491865i	0.931856	+	0.362829i	$0.118189\pi$
$938$	34.2625	+	33.1908i	1.11871	+	1.08372i
$939$	−18.7948	+	10.8512i	−0.613346	+	0.354115i
$940$	17.1368	−	6.23730i	0.558942	−	0.203438i
$941$	5.48008	+	4.59834i	0.178646	+	0.149902i	0.727726	−	0.685868i	$-0.240577\pi$
$941$	5.48008	+	4.59834i	0.178646	+	0.149902i	−0.549080	+	0.835770i	$0.685022\pi$
$942$	21.8679			0.712496
$943$	−17.6242			−0.573923
$944$	4.45462	+	3.73787i	0.144986	+	0.121657i
$945$	−0.0471983	+	0.660091i	−0.00153536	+	0.0214728i
$946$	−11.1643	−	30.6738i	−0.362984	−	0.997290i
$947$	33.0120	+	12.0154i	1.07275	+	0.390447i	0.817203	−	0.576350i	$-0.195524\pi$
$947$	33.0120	+	12.0154i	1.07275	+	0.390447i	0.255543	+	0.966798i	$0.417746\pi$
$948$	−15.6889	+	43.1049i	−0.509552	+	1.39998i
$949$	−13.3378	−	7.70060i	−0.432964	−	0.249972i
$950$	39.9789	+	19.1305i	1.29709	+	0.620676i
$951$		−	27.3310i		−	0.886269i
$952$	−6.78553	+	10.0260i	−0.219920	+	0.324945i
$953$	14.5754	+	17.3703i	0.472144	+	0.562680i	0.948583	−	0.316528i	$-0.102517\pi$
$953$	14.5754	+	17.3703i	0.472144	+	0.562680i	−0.476439	+	0.879208i	$0.658073\pi$
$954$	−67.3129	−	56.4822i	−2.17934	−	1.82868i
$955$	−1.23562	−	1.47256i	−0.0399838	−	0.0476508i
$956$	10.6538	−	3.87766i	0.344568	−	0.125412i
$957$			94.1362i			3.04299i
$958$	35.4485	+	61.3985i	1.14529	+	1.98370i
$959$	−3.86351	+	2.79776i	−0.124759	+	0.0903444i
$960$	24.0606	+	4.24253i	0.776552	+	0.136927i
$961$	−13.7125	+	23.7508i	−0.442340	+	0.766156i
$962$	0.0419278	+	0.0726210i	0.00135181	+	0.00234140i
$963$	8.22164	+	22.5888i	0.264939	+	0.727913i
$964$	−12.6529	−	71.7579i	−0.407521	−	2.31117i
$965$	−4.12631	+	1.50185i	−0.132831	+	0.0483464i
$966$	−55.0025	−	37.2253i	−1.76968	−	1.19770i
$967$	−1.62527	−	9.21738i	−0.0522652	−	0.296411i	0.947459	−	0.319876i	$-0.103641\pi$
$967$	−1.62527	−	9.21738i	−0.0522652	−	0.296411i	−0.999725	+	0.0234651i	$0.992530\pi$
$968$	−31.3129	+	18.0785i	−1.00644	+	0.581066i
$969$	15.7251	+	1.53406i	0.505163	+	0.0492812i
$970$	−16.3416	+	28.3044i	−0.524696	+	0.908800i
$971$	−22.0696	+	18.5186i	−0.708246	+	0.594289i	−0.924106	−	0.382135i	$-0.875189\pi$
$971$	−22.0696	+	18.5186i	−0.708246	+	0.594289i	0.215860	+	0.976424i	$0.430744\pi$
$972$	−57.0953	+	47.9086i	−1.83133	+	1.53667i
$973$	3.71813	−	0.384898i	0.119198	−	0.0123393i
$974$	79.9003	+	29.0813i	2.56017	+	0.931826i
$975$	4.83401	−	27.4151i	0.154812	−	0.877984i
$976$	−1.24356	+	0.717970i	−0.0398054	+	0.0229817i
$977$		−	36.9818i		−	1.18315i	−0.806249	−	0.591577i	$-0.798506\pi$
$977$		−	36.9818i		−	1.18315i	0.806249	−	0.591577i	$-0.201494\pi$
$978$	−3.68950	−	10.1368i	−0.117977	−	0.324140i
$979$	−8.02241	+	45.4974i	−0.256397	+	1.45410i
$980$	−18.2301	+	0.579376i	−0.582338	+	0.0185075i
$981$	39.1850	+	22.6235i	1.25108	+	0.722313i
$982$	−24.8560	−	4.38279i	−0.793188	−	0.139861i
$983$	17.3330	−	14.5441i	0.552837	−	0.463885i	−0.323063	−	0.946377i	$-0.604713\pi$
$983$	17.3330	−	14.5441i	0.552837	−	0.463885i	0.875900	+	0.482492i	$0.160268\pi$
$984$	30.6436	+	5.40330i	0.976883	+	0.172251i
$985$	−3.93496	+	10.8112i	−0.125378	+	0.344474i
$986$	26.6930	−	4.70670i	0.850079	−	0.149892i
$987$	−44.4678	−	11.1612i	−1.41543	−	0.355264i
$988$	−26.6841	+	26.1566i	−0.848933	+	0.832154i
$989$	−6.50949	−	11.2748i	−0.206990	−	0.358517i
$990$	25.1311	+	9.14698i	0.798720	+	0.290710i
$991$	−20.0477	+	3.53495i	−0.636836	+	0.112291i	−0.482739	−	0.875764i	$-0.660358\pi$
$991$	−20.0477	+	3.53495i	−0.636836	+	0.112291i	−0.154097	+	0.988056i	$0.549247\pi$
$992$	−24.7137	+	29.4527i	−0.784662	+	0.935124i
$993$	9.19246	−	25.2561i	0.291714	−	0.801478i
$994$	19.6172	+	8.77100i	0.622218	+	0.278199i
$995$	−6.01758	+	10.4228i	−0.190770	+	0.330424i
$996$	27.5531	+	15.9078i	0.873053	+	0.504058i
$997$	−14.2133	+	16.9388i	−0.450140	+	0.536456i	−0.942620	−	0.333868i	$-0.891646\pi$
$997$	−14.2133	+	16.9388i	−0.450140	+	0.536456i	0.492480	+	0.870324i	$0.336091\pi$
$998$	63.4222	−	75.5836i	2.00759	−	2.39256i
$999$	−0.00394799	−	0.00227938i	−0.000124909	−	7.21162e-5i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	133.2.bf.a.10.10	yes	66
7.2	even	3		931.2.bf.a.656.10		66
7.3	odd	6		931.2.be.b.48.2		66
7.4	even	3		931.2.be.a.48.2		66
7.5	odd	6		133.2.bb.a.124.10	yes	66
7.6	odd	2		931.2.bj.a.276.10		66
19.2	odd	18		133.2.bb.a.59.10	✓	66
133.2	odd	18		931.2.bj.a.705.10		66
133.40	even	18	inner	133.2.bf.a.40.10	yes	66
133.59	even	18		931.2.be.a.97.2		66
133.97	even	18		931.2.bf.a.325.10		66
133.116	odd	18		931.2.be.b.97.2		66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
133.2.bb.a.59.10	✓	66	19.2	odd	18
133.2.bb.a.124.10	yes	66	7.5	odd	6
133.2.bf.a.10.10	yes	66	1.1	even	1	trivial
133.2.bf.a.40.10	yes	66	133.40	even	18	inner
931.2.be.a.48.2		66	7.4	even	3
931.2.be.a.97.2		66	133.59	even	18
931.2.be.b.48.2		66	7.3	odd	6
931.2.be.b.97.2		66	133.116	odd	18
931.2.bf.a.325.10		66	133.97	even	18
931.2.bf.a.656.10		66	7.2	even	3
931.2.bj.a.276.10		66	7.6	odd	2
931.2.bj.a.705.10		66	133.2	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 133 = 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	133.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.48693 + 1.77205i) q^{2} +(-0.429930 - 2.43826i) q^{3} +(-0.581918 + 3.30022i) q^{4} +(0.765719 - 0.135017i) q^{5} +(3.68144 - 4.38737i) q^{6} +(1.90031 + 1.84088i) q^{7} +(-2.70677 + 1.56275i) q^{8} +(-2.94117 + 1.07050i) q^{9} +O(q^{10})\)	\(q+(1.48693 + 1.77205i) q^{2} +(-0.429930 - 2.43826i) q^{3} +(-0.581918 + 3.30022i) q^{4} +(0.765719 - 0.135017i) q^{5} +(3.68144 - 4.38737i) q^{6} +(1.90031 + 1.84088i) q^{7} +(-2.70677 + 1.56275i) q^{8} +(-2.94117 + 1.07050i) q^{9} +(1.37783 + 1.15613i) q^{10} -4.75062 q^{11} +8.29696 q^{12} +(-1.95957 - 1.64428i) q^{13} +(-0.436502 + 6.10470i) q^{14} +(-0.658412 - 1.80897i) q^{15} +(-0.495984 - 0.180523i) q^{16} +(0.500722 - 1.37572i) q^{17} +(-6.27030 - 3.62016i) q^{18} +(-4.34589 + 0.336545i) q^{19} +2.60561i q^{20} +(3.67152 - 5.42489i) q^{21} +(-7.06383 - 8.41835i) q^{22} +(-3.35755 - 2.81732i) q^{23} +(4.97411 + 5.92791i) q^{24} +(-4.13037 + 1.50333i) q^{25} -5.91739i q^{26} +(0.160847 + 0.278596i) q^{27} +(-7.18112 + 5.20020i) q^{28} +(7.88188 + 1.38979i) q^{29} +(2.22658 - 3.85655i) q^{30} +(3.82182 + 6.61958i) q^{31} +(1.72037 + 4.72669i) q^{32} +(2.04244 + 11.5832i) q^{33} +(3.18239 - 1.15830i) q^{34} +(1.70365 + 1.15302i) q^{35} +(-1.82136 - 10.3295i) q^{36} +(-0.0122725 + 0.00708552i) q^{37} +(-7.05840 - 7.20073i) q^{38} +(-3.16669 + 5.48486i) q^{39} +(-1.86163 + 1.56209i) q^{40} +(3.08031 - 2.58469i) q^{41} +(15.0725 - 1.56029i) q^{42} +(2.79122 + 1.01592i) q^{43} +(2.76447 - 15.6781i) q^{44} +(-2.10758 + 1.21681i) q^{45} -10.1389i q^{46} +(-2.39379 - 6.57690i) q^{47} +(-0.226924 + 1.28695i) q^{48} +(0.222357 + 6.99647i) q^{49} +(-8.80554 - 5.08388i) q^{50} +(-3.56964 - 0.629424i) q^{51} +(6.56678 - 5.51018i) q^{52} +(11.9519 + 2.10745i) q^{53} +(-0.254518 + 0.699282i) q^{54} +(-3.63764 + 0.641414i) q^{55} +(-8.02053 - 2.01310i) q^{56} +(2.68901 + 10.4517i) q^{57} +(9.25702 + 16.0336i) q^{58} +(-10.3529 - 3.76813i) q^{59} +(6.35315 - 1.12023i) q^{60} +(1.74873 - 2.08405i) q^{61} +(-6.04748 + 16.6153i) q^{62} +(-7.55980 - 3.38005i) q^{63} +(-6.34569 + 10.9911i) q^{64} +(-1.72249 - 0.994478i) q^{65} +(-17.4891 + 20.8427i) q^{66} +(5.01001 - 5.97070i) q^{67} +(4.24881 + 2.45305i) q^{68} +(-5.42583 + 9.39782i) q^{69} +(0.490000 + 4.73342i) q^{70} +(1.20085 - 3.29931i) q^{71} +(6.28814 - 7.49392i) q^{72} +(5.92924 - 1.04548i) q^{73} +(-0.0308042 - 0.0112118i) q^{74} +(5.44127 + 9.42456i) q^{75} +(1.41828 - 14.5382i) q^{76} +(-9.02765 - 8.74530i) q^{77} +(-14.4281 + 2.54406i) q^{78} +(-1.89092 + 5.19526i) q^{79} +(-0.404158 - 0.0712640i) q^{80} +(-6.58287 + 5.52368i) q^{81} +(9.16041 + 1.61523i) q^{82} +(3.32086 + 1.91730i) q^{83} +(15.7668 + 15.2737i) q^{84} +(0.197667 - 1.12102i) q^{85} +(2.35008 + 6.45679i) q^{86} -19.8156i q^{87} +(12.8588 - 7.42404i) q^{88} +(1.68871 - 9.57714i) q^{89} +(-5.29007 - 1.92543i) q^{90} +(-0.696887 - 6.73196i) q^{91} +(11.2516 - 9.44121i) q^{92} +(14.4971 - 12.1645i) q^{93} +(8.09521 - 14.0213i) q^{94} +(-3.28229 + 0.844468i) q^{95} +(10.7852 - 6.22686i) q^{96} +(3.15539 + 17.8951i) q^{97} +(-12.0675 + 10.7973i) q^{98} +(13.9724 - 5.08554i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9}+O(q^{10}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9} - 9 q^{10} - 12 q^{11} + 6 q^{12} - 30 q^{13} - 15 q^{14} + 9 q^{15} - 15 q^{16} + 18 q^{17} + 36 q^{18} + 12 q^{19} - 30 q^{21} - 3 q^{23} - 36 q^{24} - 27 q^{25} + 12 q^{27} - 33 q^{28} - 6 q^{29} + 3 q^{30} - 9 q^{31} + 60 q^{32} - 9 q^{33} - 36 q^{34} + 9 q^{35} + 27 q^{36} - 36 q^{37} + 18 q^{38} + 12 q^{39} + 9 q^{40} + 54 q^{41} - 9 q^{42} + 12 q^{43} + 18 q^{44} - 27 q^{45} + 45 q^{47} + 63 q^{48} - 45 q^{49} - 63 q^{50} - 3 q^{51} + 57 q^{52} + 27 q^{53} - 9 q^{54} - 45 q^{55} - 54 q^{56} - 54 q^{57} + 30 q^{58} + 36 q^{59} - 78 q^{60} - 42 q^{61} - 45 q^{62} + 57 q^{63} - 36 q^{64} + 45 q^{65} + 9 q^{66} + 30 q^{67} - 9 q^{68} + 69 q^{70} - 6 q^{71} - 6 q^{72} + 60 q^{73} + 9 q^{74} - 21 q^{75} + 54 q^{76} - 18 q^{77} + 3 q^{78} + 27 q^{79} - 45 q^{80} + 24 q^{81} - 9 q^{82} + 36 q^{83} + 99 q^{84} - 48 q^{85} - 48 q^{86} - 9 q^{88} - 9 q^{89} - 18 q^{90} + 24 q^{91} + 48 q^{92} - 3 q^{93} + 90 q^{94} - 75 q^{95} + 63 q^{96} - 27 q^{97} + 96 q^{98} + 48 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9 - 9 * q^10 - 12 * q^11 + 6 * q^12 - 30 * q^13 - 15 * q^14 + 9 * q^15 - 15 * q^16 + 18 * q^17 + 36 * q^18 + 12 * q^19 - 30 * q^21 - 3 * q^23 - 36 * q^24 - 27 * q^25 + 12 * q^27 - 33 * q^28 - 6 * q^29 + 3 * q^30 - 9 * q^31 + 60 * q^32 - 9 * q^33 - 36 * q^34 + 9 * q^35 + 27 * q^36 - 36 * q^37 + 18 * q^38 + 12 * q^39 + 9 * q^40 + 54 * q^41 - 9 * q^42 + 12 * q^43 + 18 * q^44 - 27 * q^45 + 45 * q^47 + 63 * q^48 - 45 * q^49 - 63 * q^50 - 3 * q^51 + 57 * q^52 + 27 * q^53 - 9 * q^54 - 45 * q^55 - 54 * q^56 - 54 * q^57 + 30 * q^58 + 36 * q^59 - 78 * q^60 - 42 * q^61 - 45 * q^62 + 57 * q^63 - 36 * q^64 + 45 * q^65 + 9 * q^66 + 30 * q^67 - 9 * q^68 + 69 * q^70 - 6 * q^71 - 6 * q^72 + 60 * q^73 + 9 * q^74 - 21 * q^75 + 54 * q^76 - 18 * q^77 + 3 * q^78 + 27 * q^79 - 45 * q^80 + 24 * q^81 - 9 * q^82 + 36 * q^83 + 99 * q^84 - 48 * q^85 - 48 * q^86 - 9 * q^88 - 9 * q^89 - 18 * q^90 + 24 * q^91 + 48 * q^92 - 3 * q^93 + 90 * q^94 - 75 * q^95 + 63 * q^96 - 27 * q^97 + 96 * q^98 + 48 * q^99

Introduction

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