LMFDB - Embedded newform 33.2.f.a.2.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [33,2,Mod(2,33)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(33, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 1]))

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

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

chi := DirichletCharacter("33.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 33 = 3 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	33.f (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.263506326670$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{10})$
Coefficient field:	$\Q(\zeta_{20})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{6} + x^{4} - x^{2} + 1 $ x^8 - x^6 + x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			2.1
Root			$-0.951057 - 0.309017i$ of defining polynomial
Character	$\chi$	$=$	33.2
Dual form			33.2.f.a.17.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 + 1.80902i) q^{2} +(-1.67229 + 0.451057i) q^{3} +(-1.30902 - 0.951057i) q^{4} +(2.48990 - 0.809017i) q^{5} +(0.166977 - 3.29032i) q^{6} +(0.427051 - 0.587785i) q^{7} +(-0.587785 + 0.427051i) q^{8} +(2.59310 - 1.50859i) q^{9} +O(q^{10})$	\(q+(-0.587785 + 1.80902i) q^{2} +(-1.67229 + 0.451057i) q^{3} +(-1.30902 - 0.951057i) q^{4} +(2.48990 - 0.809017i) q^{5} +(0.166977 - 3.29032i) q^{6} +(0.427051 - 0.587785i) q^{7} +(-0.587785 + 0.427051i) q^{8} +(2.59310 - 1.50859i) q^{9} +4.97980i q^{10} +(-2.12663 - 2.54508i) q^{11} +(2.61803 + 1.00000i) q^{12} +(-2.92705 - 0.951057i) q^{13} +(0.812299 + 1.11803i) q^{14} +(-3.79892 + 2.47599i) q^{15} +(-1.42705 - 4.39201i) q^{16} +(0.812299 + 2.50000i) q^{17} +(1.20489 + 5.57768i) q^{18} +(2.50000 + 3.44095i) q^{19} +(-4.02874 - 1.30902i) q^{20} +(-0.449028 + 1.17557i) q^{21} +(5.85410 - 2.35114i) q^{22} -1.76393i q^{23} +(0.790322 - 0.979277i) q^{24} +(1.50000 - 1.08981i) q^{25} +(3.44095 - 4.73607i) q^{26} +(-3.65594 + 3.69244i) q^{27} +(-1.11803 + 0.363271i) q^{28} +(-3.07768 - 2.23607i) q^{29} +(-2.24617 - 8.32766i) q^{30} +(-0.263932 + 0.812299i) q^{31} +7.33094 q^{32} +(4.70431 + 3.29689i) q^{33} -5.00000 q^{34} +(0.587785 - 1.80902i) q^{35} +(-4.82916 - 0.491407i) q^{36} +(-2.42705 - 1.76336i) q^{37} +(-7.69421 + 2.50000i) q^{38} +(5.32385 + 0.270175i) q^{39} +(-1.11803 + 1.53884i) q^{40} +(-2.48990 + 1.80902i) q^{41} +(-1.86269 - 1.50328i) q^{42} -1.62460i q^{43} +(0.363271 + 5.35410i) q^{44} +(5.23607 - 5.85410i) q^{45} +(3.19098 + 1.03681i) q^{46} +(4.30625 + 5.92705i) q^{47} +(4.36749 + 6.70103i) q^{48} +(2.00000 + 6.15537i) q^{49} +(1.08981 + 3.35410i) q^{50} +(-2.48604 - 3.81433i) q^{51} +(2.92705 + 4.02874i) q^{52} +(4.61653 + 1.50000i) q^{53} +(-4.53077 - 8.78402i) q^{54} +(-7.35410 - 4.61653i) q^{55} +0.527864i q^{56} +(-5.73279 - 4.62663i) q^{57} +(5.85410 - 4.25325i) q^{58} +(-1.53884 + 2.11803i) q^{59} +(7.32766 + 0.371864i) q^{60} +(-4.04508 + 1.31433i) q^{61} +(-1.31433 - 0.954915i) q^{62} +(0.220655 - 2.16843i) q^{63} +(-1.45492 + 4.47777i) q^{64} -8.05748 q^{65} +(-8.72925 + 6.57232i) q^{66} -8.32624 q^{67} +(1.31433 - 4.04508i) q^{68} +(0.795633 + 2.94980i) q^{69} +(2.92705 + 2.12663i) q^{70} +(9.82084 - 3.19098i) q^{71} +(-0.879937 + 1.99411i) q^{72} +(8.94427 - 12.3107i) q^{73} +(4.61653 - 3.35410i) q^{74} +(-2.01686 + 2.49907i) q^{75} -6.88191i q^{76} +(-2.40414 + 0.163119i) q^{77} +(-3.61803 + 9.47214i) q^{78} +(10.1631 + 3.30220i) q^{79} +(-7.10642 - 9.78115i) q^{80} +(4.44829 - 7.82385i) q^{81} +(-1.80902 - 5.56758i) q^{82} +(-4.47777 - 13.7812i) q^{83} +(1.70582 - 1.11179i) q^{84} +(4.04508 + 5.56758i) q^{85} +(2.93893 + 0.954915i) q^{86} +(6.15537 + 2.35114i) q^{87} +(2.33688 + 0.587785i) q^{88} +9.47214i q^{89} +(7.51249 + 12.9131i) q^{90} +(-1.80902 + 1.31433i) q^{91} +(-1.67760 + 2.30902i) q^{92} +(0.0749776 - 1.47745i) q^{93} +(-13.2533 + 4.30625i) q^{94} +(9.00854 + 6.54508i) q^{95} +(-12.2594 + 3.30667i) q^{96} +(-2.04508 + 6.29412i) q^{97} -12.3107 q^{98} +(-9.35405 - 3.39144i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 6 q^{3} - 6 q^{4} - 10 q^{7} + 10 q^{9}+O(q^{10}) $ 8 * q - 6 * q^3 - 6 * q^4 - 10 * q^7 + 10 * q^9	$ 8 q - 6 q^{3} - 6 q^{4} - 10 q^{7} + 10 q^{9} + 12 q^{12} - 10 q^{13} - 6 q^{15} + 2 q^{16} + 20 q^{19} + 20 q^{22} - 10 q^{24} + 12 q^{25} - 12 q^{27} - 20 q^{30} - 20 q^{31} - 4 q^{33} - 40 q^{34} - 10 q^{36} - 6 q^{37} + 20 q^{39} + 20 q^{42} + 24 q^{45} + 30 q^{46} + 26 q^{48} + 16 q^{49} + 30 q^{51} + 10 q^{52} - 32 q^{55} - 30 q^{57} + 20 q^{58} + 2 q^{60} - 10 q^{61} - 30 q^{63} - 34 q^{64} - 30 q^{66} - 4 q^{67} - 16 q^{69} + 10 q^{70} - 20 q^{72} + 6 q^{75} - 20 q^{78} + 50 q^{79} - 2 q^{81} - 10 q^{82} + 10 q^{85} + 50 q^{88} + 40 q^{90} - 10 q^{91} + 10 q^{93} - 30 q^{94} + 10 q^{96} + 6 q^{97} + 16 q^{99}+O(q^{100}) $ 8 * q - 6 * q^3 - 6 * q^4 - 10 * q^7 + 10 * q^9 + 12 * q^12 - 10 * q^13 - 6 * q^15 + 2 * q^16 + 20 * q^19 + 20 * q^22 - 10 * q^24 + 12 * q^25 - 12 * q^27 - 20 * q^30 - 20 * q^31 - 4 * q^33 - 40 * q^34 - 10 * q^36 - 6 * q^37 + 20 * q^39 + 20 * q^42 + 24 * q^45 + 30 * q^46 + 26 * q^48 + 16 * q^49 + 30 * q^51 + 10 * q^52 - 32 * q^55 - 30 * q^57 + 20 * q^58 + 2 * q^60 - 10 * q^61 - 30 * q^63 - 34 * q^64 - 30 * q^66 - 4 * q^67 - 16 * q^69 + 10 * q^70 - 20 * q^72 + 6 * q^75 - 20 * q^78 + 50 * q^79 - 2 * q^81 - 10 * q^82 + 10 * q^85 + 50 * q^88 + 40 * q^90 - 10 * q^91 + 10 * q^93 - 30 * q^94 + 10 * q^96 + 6 * q^97 + 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/33\mathbb{Z}\right)^\times$.

$n$	$13$	$23$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.587785	+	1.80902i	−0.415627	+	1.27917i	0.496062	+	0.868287i	$0.334779\pi$
$2$	−0.587785	+	1.80902i	−0.415627	+	1.27917i	−0.911689	+	0.410881i	$0.865221\pi$
$3$	−1.67229	+	0.451057i	−0.965496	+	0.260418i
$3$	−1.67229	+	0.451057i	−0.965496	+	0.260418i
$4$	−1.30902	−	0.951057i	−0.654508	−	0.475528i
$5$	2.48990	−	0.809017i	1.11352	−	0.361803i	0.306227	−	0.951959i	$-0.400933\pi$
$5$	2.48990	−	0.809017i	1.11352	−	0.361803i	0.807290	+	0.590155i	$0.200933\pi$
$6$	0.166977	−	3.29032i	0.0681683	−	1.34327i
$7$	0.427051	−	0.587785i	0.161410	−	0.222162i	−0.720650	−	0.693299i	$-0.756156\pi$
$7$	0.427051	−	0.587785i	0.161410	−	0.222162i	0.882060	+	0.471137i	$0.156156\pi$
$8$	−0.587785	+	0.427051i	−0.207813	+	0.150985i
$9$	2.59310	−	1.50859i	0.864365	−	0.502864i
$10$			4.97980i			1.57475i
$11$	−2.12663	−	2.54508i	−0.641202	−	0.767372i
$11$	−2.12663	−	2.54508i	−0.641202	−	0.767372i
$12$	2.61803	+	1.00000i	0.755761	+	0.288675i
$13$	−2.92705	−	0.951057i	−0.811818	−	0.263776i	−0.126450	−	0.991973i	$-0.540358\pi$
$13$	−2.92705	−	0.951057i	−0.811818	−	0.263776i	−0.685368	+	0.728197i	$0.740358\pi$
$14$	0.812299	+	1.11803i	0.217096	+	0.298807i
$15$	−3.79892	+	2.47599i	−0.980876	+	0.639299i
$16$	−1.42705	−	4.39201i	−0.356763	−	1.09800i
$17$	0.812299	+	2.50000i	0.197012	+	0.606339i	0.999947	+	0.0102734i	$0.00327020\pi$
$17$	0.812299	+	2.50000i	0.197012	+	0.606339i	−0.802936	+	0.596066i	$0.796730\pi$
$18$	1.20489	+	5.57768i	0.283995	+	1.31467i
$19$	2.50000	+	3.44095i	0.573539	+	0.789409i	0.992968	−	0.118379i	$-0.0377697\pi$
$19$	2.50000	+	3.44095i	0.573539	+	0.789409i	−0.419429	+	0.907788i	$0.637770\pi$
$20$	−4.02874	−	1.30902i	−0.900854	−	0.292705i
$21$	−0.449028	+	1.17557i	−0.0979859	+	0.256531i
$22$	5.85410	−	2.35114i	1.24810	−	0.501265i
$23$		−	1.76393i		−	0.367805i	−0.982944	−	0.183903i	$-0.941127\pi$
$23$		−	1.76393i		−	0.367805i	0.982944	−	0.183903i	$-0.0588731\pi$
$24$	0.790322	−	0.979277i	0.161324	−	0.199894i
$25$	1.50000	−	1.08981i	0.300000	−	0.217963i
$26$	3.44095	−	4.73607i	0.674827	−	0.928819i
$27$	−3.65594	+	3.69244i	−0.703587	+	0.710610i
$28$	−1.11803	+	0.363271i	−0.211289	+	0.0686518i
$29$	−3.07768	−	2.23607i	−0.571511	−	0.415227i	0.264142	−	0.964484i	$-0.414911\pi$
$29$	−3.07768	−	2.23607i	−0.571511	−	0.415227i	−0.835654	+	0.549256i	$0.814911\pi$
$30$	−2.24617	−	8.32766i	−0.410093	−	1.52041i
$31$	−0.263932	+	0.812299i	−0.0474036	+	0.145893i	−0.971957	−	0.235160i	$-0.924439\pi$
$31$	−0.263932	+	0.812299i	−0.0474036	+	0.145893i	0.924553	+	0.381053i	$0.124439\pi$
$32$	7.33094			1.29594
$33$	4.70431	+	3.29689i	0.818915	+	0.573914i
$34$	−5.00000			−0.857493
$35$	0.587785	−	1.80902i	0.0993538	−	0.305780i
$36$	−4.82916	−	0.491407i	−0.804861	−	0.0819012i
$37$	−2.42705	−	1.76336i	−0.399005	−	0.289894i	0.370131	−	0.928980i	$-0.379313\pi$
$37$	−2.42705	−	1.76336i	−0.399005	−	0.289894i	−0.769135	+	0.639086i	$0.779313\pi$
$38$	−7.69421	+	2.50000i	−1.24817	+	0.405554i
$39$	5.32385	+	0.270175i	0.852499	+	0.0432627i
$40$	−1.11803	+	1.53884i	−0.176777	+	0.243312i
$41$	−2.48990	+	1.80902i	−0.388857	+	0.282521i	−0.764987	−	0.644046i	$-0.777255\pi$
$41$	−2.48990	+	1.80902i	−0.388857	+	0.282521i	0.376130	+	0.926567i	$0.377255\pi$
$42$	−1.86269	−	1.50328i	−0.287420	−	0.231961i
$43$		−	1.62460i		−	0.247749i	−0.992298	−	0.123874i	$-0.960468\pi$
$43$		−	1.62460i		−	0.247749i	0.992298	−	0.123874i	$-0.0395320\pi$
$44$	0.363271	+	5.35410i	0.0547652	+	0.807161i
$45$	5.23607	−	5.85410i	0.780547	−	0.872678i
$46$	3.19098	+	1.03681i	0.470485	+	0.152870i
$47$	4.30625	+	5.92705i	0.628132	+	0.864549i	0.997913	−	0.0645695i	$-0.0205674\pi$
$47$	4.30625	+	5.92705i	0.628132	+	0.864549i	−0.369781	+	0.929119i	$0.620567\pi$
$48$	4.36749	+	6.70103i	0.630392	+	0.967210i
$49$	2.00000	+	6.15537i	0.285714	+	0.879338i
$50$	1.08981	+	3.35410i	0.154123	+	0.474342i
$51$	−2.48604	−	3.81433i	−0.348115	−	0.534113i
$52$	2.92705	+	4.02874i	0.405909	+	0.558686i
$53$	4.61653	+	1.50000i	0.634129	+	0.206041i	0.608403	−	0.793628i	$-0.291810\pi$
$53$	4.61653	+	1.50000i	0.634129	+	0.206041i	0.0257255	+	0.999669i	$0.491810\pi$
$54$	−4.53077	−	8.78402i	−0.616560	−	1.19535i
$55$	−7.35410	−	4.61653i	−0.991627	−	0.622492i
$56$			0.527864i			0.0705388i
$57$	−5.73279	−	4.62663i	−0.759326	−	0.612812i
$58$	5.85410	−	4.25325i	0.768681	−	0.558480i
$59$	−1.53884	+	2.11803i	−0.200340	+	0.275745i	−0.897352	−	0.441315i	$-0.854512\pi$
$59$	−1.53884	+	2.11803i	−0.200340	+	0.275745i	0.697012	+	0.717059i	$0.254512\pi$
$60$	7.32766	+	0.371864i	0.945996	+	0.0480075i
$61$	−4.04508	+	1.31433i	−0.517920	+	0.168282i	−0.556301	−	0.830981i	$-0.687780\pi$
$61$	−4.04508	+	1.31433i	−0.517920	+	0.168282i	0.0383811	+	0.999263i	$0.487780\pi$
$62$	−1.31433	−	0.954915i	−0.166920	−	0.121274i
$63$	0.220655	−	2.16843i	0.0278000	−	0.273196i
$64$	−1.45492	+	4.47777i	−0.181864	+	0.559721i
$65$	−8.05748			−0.999407
$66$	−8.72925	+	6.57232i	−1.07450	+	0.808996i
$67$	−8.32624			−1.01721			−0.508606	−	0.860999i	$-0.669839\pi$
$67$	−8.32624			−1.01721			−0.508606	+	0.860999i	$0.669839\pi$
$68$	1.31433	−	4.04508i	0.159386	−	0.490539i
$69$	0.795633	+	2.94980i	0.0957830	+	0.355115i
$70$	2.92705	+	2.12663i	0.349850	+	0.254181i
$71$	9.82084	−	3.19098i	1.16552	−	0.378700i	0.338550	−	0.940948i	$-0.390063\pi$
$71$	9.82084	−	3.19098i	1.16552	−	0.378700i	0.826968	+	0.562248i	$0.190063\pi$
$72$	−0.879937	+	1.99411i	−0.103702	+	0.235008i
$73$	8.94427	−	12.3107i	1.04685	−	1.44086i	0.155338	−	0.987861i	$-0.450353\pi$
$73$	8.94427	−	12.3107i	1.04685	−	1.44086i	0.891510	−	0.453001i	$-0.149647\pi$
$74$	4.61653	−	3.35410i	0.536660	−	0.389906i
$75$	−2.01686	+	2.49907i	−0.232887	+	0.288567i
$76$		−	6.88191i		−	0.789409i
$77$	−2.40414	+	0.163119i	−0.273977	+	0.0185891i
$78$	−3.61803	+	9.47214i	−0.409662	+	1.07251i
$79$	10.1631	+	3.30220i	1.14344	+	0.371526i	0.818669	−	0.574266i	$-0.194713\pi$
$79$	10.1631	+	3.30220i	1.14344	+	0.371526i	0.324772	+	0.945792i	$0.394713\pi$
$80$	−7.10642	−	9.78115i	−0.794522	−	1.09357i
$81$	4.44829	−	7.82385i	0.494255	−	0.869317i
$82$	−1.80902	−	5.56758i	−0.199773	−	0.614837i
$83$	−4.47777	−	13.7812i	−0.491499	−	1.51268i	−0.822343	−	0.568993i	$-0.807333\pi$
$83$	−4.47777	−	13.7812i	−0.491499	−	1.51268i	0.330844	−	0.943686i	$-0.392667\pi$
$84$	1.70582	−	1.11179i	0.186120	−	0.121306i
$85$	4.04508	+	5.56758i	0.438751	+	0.603889i
$86$	2.93893	+	0.954915i	0.316913	+	0.102971i
$87$	6.15537	+	2.35114i	0.659925	+	0.252069i
$88$	2.33688	+	0.587785i	0.249112	+	0.0626581i
$89$			9.47214i			1.00404i	0.864855	+	0.502022i	$0.167410\pi$
$89$			9.47214i			1.00404i	−0.864855	+	0.502022i	$0.832590\pi$
$90$	7.51249	+	12.9131i	0.791886	+	1.36116i
$91$	−1.80902	+	1.31433i	−0.189637	+	0.137779i
$92$	−1.67760	+	2.30902i	−0.174902	+	0.240732i
$93$	0.0749776	−	1.47745i	0.00777481	−	0.153204i
$94$	−13.2533	+	4.30625i	−1.36697	+	0.444156i
$95$	9.00854	+	6.54508i	0.924256	+	0.671512i
$96$	−12.2594	+	3.30667i	−1.25122	+	0.337485i
$97$	−2.04508	+	6.29412i	−0.207647	+	0.639072i	0.791947	+	0.610589i	$0.209067\pi$
$97$	−2.04508	+	6.29412i	−0.207647	+	0.639072i	−0.999594	+	0.0284822i	$0.990933\pi$
$98$	−12.3107			−1.24357
$99$	−9.35405	−	3.39144i	−0.940117	−	0.340852i
$100$	−3.00000			−0.300000
$101$	−3.85723	+	11.8713i	−0.383808	+	1.18124i	0.553533	+	0.832827i	$0.313279\pi$
$101$	−3.85723	+	11.8713i	−0.383808	+	1.18124i	−0.937341	+	0.348413i	$0.886721\pi$
$102$	8.36144	−	2.25528i	0.827906	−	0.223306i
$103$	5.47214	+	3.97574i	0.539186	+	0.391741i	0.823782	−	0.566906i	$-0.191860\pi$
$103$	5.47214	+	3.97574i	0.539186	+	0.391741i	−0.284597	+	0.958647i	$0.591860\pi$
$104$	2.12663	−	0.690983i	0.208533	−	0.0677565i
$105$	−0.166977	+	3.29032i	−0.0162953	+	0.321103i
$106$	−5.42705	+	7.46969i	−0.527122	+	0.725521i
$107$	−0.138757	+	0.100813i	−0.0134142	+	0.00974597i	−0.594472	−	0.804116i	$-0.702639\pi$
$107$	−0.138757	+	0.100813i	−0.0134142	+	0.00974597i	0.581058	+	0.813862i	$0.302639\pi$
$108$	8.29741	−	1.35645i	0.798418	−	0.130525i
$109$		−	7.60845i		−	0.728758i	−0.931251	−	0.364379i	$-0.881281\pi$
$109$		−	7.60845i		−	0.728758i	0.931251	−	0.364379i	$-0.118719\pi$
$110$	12.6740	−	10.5902i	1.20842	−	1.00973i
$111$	4.85410	+	1.85410i	0.460731	+	0.175984i
$112$	−3.19098	−	1.03681i	−0.301520	−	0.0979696i
$113$	−11.7229	−	16.1353i	−1.10280	−	1.51788i	−0.831617	−	0.555350i	$-0.812584\pi$
$113$	−11.7229	−	16.1353i	−1.10280	−	1.51788i	−0.271186	−	0.962527i	$-0.587416\pi$
$114$	11.7393	−	7.65124i	1.09949	−	0.716605i
$115$	−1.42705	−	4.39201i	−0.133073	−	0.409557i
$116$	1.90211	+	5.85410i	0.176607	+	0.543540i
$117$	−9.02488	+	1.94955i	−0.834351	+	0.180236i
$118$	−2.92705	−	4.02874i	−0.269457	−	0.370876i
$119$	1.81636	+	0.590170i	0.166505	+	0.0541008i
$120$	1.17557	−	3.07768i	0.107314	−	0.280953i
$121$	−1.95492	+	10.8249i	−0.177720	+	0.984081i
$122$		−	8.09017i		−	0.732450i
$123$	3.34786	−	4.14828i	0.301866	−	0.374038i
$124$	1.11803	−	0.812299i	0.100402	−	0.0729466i
$125$	−4.84104	+	6.66312i	−0.432996	+	0.595967i
$126$	3.79303	+	1.67374i	0.337910	+	0.149109i
$127$	12.5623	−	4.08174i	1.11472	−	0.362196i	0.306972	−	0.951718i	$-0.400684\pi$
$127$	12.5623	−	4.08174i	1.11472	−	0.362196i	0.807752	+	0.589522i	$0.200684\pi$
$128$	4.61653	+	3.35410i	0.408047	+	0.296464i
$129$	0.732786	+	2.71680i	0.0645182	+	0.239201i
$130$	4.73607	−	14.5761i	0.415381	−	1.27841i
$131$	4.08174			0.356623			0.178312	−	0.983974i	$-0.442936\pi$
$131$	4.08174			0.356623			0.178312	+	0.983974i	$0.442936\pi$
$132$	−3.02250	−	8.78975i	−0.263075	−	0.765049i
$133$	3.09017			0.267952
$134$	4.89404	−	15.0623i	0.422781	−	1.30119i
$135$	−6.11568	+	12.1515i	−0.526354	+	1.04584i
$136$	−1.54508	−	1.12257i	−0.132490	−	0.0962596i
$137$	−8.28199	+	2.69098i	−0.707579	+	0.229906i	−0.640629	−	0.767850i	$-0.721327\pi$
$137$	−8.28199	+	2.69098i	−0.707579	+	0.229906i	−0.0669491	+	0.997756i	$0.521327\pi$
$138$	−5.80390	−	0.294537i	−0.494061	−	0.0250726i
$139$	−1.01722	+	1.40008i	−0.0862796	+	0.118754i	−0.849975	−	0.526823i	$-0.823383\pi$
$139$	−1.01722	+	1.40008i	−0.0862796	+	0.118754i	0.763695	+	0.645577i	$0.223383\pi$
$140$	−2.48990	+	1.80902i	−0.210435	+	0.152890i
$141$	−9.87473	−	7.96937i	−0.831603	−	0.671142i
$142$			19.6417i			1.64829i
$143$	3.80423	+	9.47214i	0.318125	+	0.792100i
$144$	−10.3262	−	9.23607i	−0.860520	−	0.769672i
$145$	−9.47214	−	3.07768i	−0.786618	−	0.255588i
$146$	17.0130	+	23.4164i	1.40801	+	1.93796i
$147$	−6.12099	−	9.39144i	−0.504851	−	0.774593i
$148$	1.50000	+	4.61653i	0.123299	+	0.379476i
$149$	−0.0530006	−	0.163119i	−0.00434198	−	0.0133632i	0.948862	−	0.315691i	$-0.102236\pi$
$149$	−0.0530006	−	0.163119i	−0.00434198	−	0.0133632i	−0.953204	+	0.302328i	$0.902236\pi$
$150$	−3.33537	−	5.11746i	−0.272332	−	0.417839i
$151$	−10.3262	−	14.2128i	−0.840337	−	1.15663i	−0.985910	−	0.167278i	$-0.946502\pi$
$151$	−10.3262	−	14.2128i	−0.840337	−	1.15663i	0.145573	−	0.989348i	$-0.453498\pi$
$152$	−2.93893	−	0.954915i	−0.238378	−	0.0774538i
$153$	5.87785	+	5.25731i	0.475196	+	0.425028i
$154$	1.11803	−	4.44501i	0.0900937	−	0.358189i
$155$			2.23607i			0.179605i
$156$	−6.71206	−	5.41695i	−0.537395	−	0.433703i
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	−0.461601	−	0.887087i	$-0.652725\pi$
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	0.701028	+	0.713134i	$0.252725\pi$
$158$	−11.9475	+	16.4443i	−0.950489	+	1.30824i
$159$	−8.39675	−	0.426119i	−0.665905	−	0.0337934i
$160$	18.2533	−	5.93085i	1.44305	−	0.468875i
$161$	−1.03681	−	0.753289i	−0.0817123	−	0.0593675i
$162$	11.5388	+	12.6458i	0.906577	+	0.993547i
$163$	−3.82624	+	11.7759i	−0.299694	+	0.922364i	0.681910	+	0.731436i	$0.261150\pi$
$163$	−3.82624	+	11.7759i	−0.299694	+	0.922364i	−0.981604	+	0.190928i	$0.938850\pi$
$164$	4.97980			0.388857
$165$	14.3805	+	4.40305i	1.11952	+	0.342777i
$166$	27.5623			2.13925
$167$	−0.0327561	+	0.100813i	−0.00253475	+	0.00780115i	−0.952316	−	0.305114i	$-0.901305\pi$
$167$	−0.0327561	+	0.100813i	−0.00253475	+	0.00780115i	0.949781	+	0.312915i	$0.101305\pi$
$168$	−0.238097	−	0.882741i	−0.0183695	−	0.0681049i
$169$	−2.85410	−	2.07363i	−0.219546	−	0.159510i
$170$	−12.4495	+	4.04508i	−0.954832	+	0.310244i
$171$	11.6737	+	5.15124i	0.892713	+	0.393925i
$172$	−1.54508	+	2.12663i	−0.117812	+	0.162154i
$173$	17.9313	−	13.0279i	1.36329	−	0.990490i	0.365065	−	0.930982i	$-0.381047\pi$
$173$	17.9313	−	13.0279i	1.36329	−	0.990490i	0.998228	−	0.0595081i	$-0.0189532\pi$
$174$	−7.87129	+	9.75320i	−0.596721	+	0.739388i
$175$		−	1.34708i		−	0.101830i
$176$	−8.14324	+	12.9721i	−0.613820	+	0.977812i
$177$	1.61803	−	4.23607i	0.121619	−	0.318402i
$178$	−17.1353	−	5.56758i	−1.28434	−	0.417308i
$179$	−2.31838	−	3.19098i	−0.173284	−	0.238505i	0.713537	−	0.700617i	$-0.247092\pi$
$179$	−2.31838	−	3.19098i	−0.173284	−	0.238505i	−0.886822	+	0.462112i	$0.847092\pi$
$180$	−12.4217	+	2.68332i	−0.925858	+	0.200003i
$181$	3.78115	+	11.6372i	0.281051	+	0.864986i	0.987555	+	0.157276i	$0.0502713\pi$
$181$	3.78115	+	11.6372i	0.281051	+	0.864986i	−0.706504	+	0.707709i	$0.749729\pi$
$182$	−1.31433	−	4.04508i	−0.0974245	−	0.299842i
$183$	6.17171	−	4.02250i	0.456226	−	0.297352i
$184$	0.753289	+	1.03681i	0.0555332	+	0.0764349i
$185$	−7.46969	−	2.42705i	−0.549183	−	0.178440i
$186$	2.62866	+	1.00406i	0.192742	+	0.0736210i
$187$	4.63525	−	7.38394i	0.338963	−	0.539967i
$188$		−	11.8541i		−	0.864549i
$189$	0.609085	+	3.72577i	0.0443044	+	0.271010i
$190$	−17.1353	+	12.4495i	−1.24312	+	0.903181i
$191$	11.6169	−	15.9894i	0.840573	−	1.15695i	−0.145289	−	0.989389i	$-0.546411\pi$
$191$	11.6169	−	15.9894i	0.840573	−	1.15695i	0.985862	−	0.167560i	$-0.0535888\pi$
$192$	0.413311	−	8.14437i	0.0298281	−	0.587769i
$193$	−19.2082	+	6.24112i	−1.38264	+	0.449246i	−0.903535	−	0.428514i	$-0.859037\pi$
$193$	−19.2082	+	6.24112i	−1.38264	+	0.449246i	−0.479101	+	0.877760i	$0.659037\pi$
$194$	−10.1841	−	7.39919i	−0.731176	−	0.531231i
$195$	13.4744	−	3.63438i	0.964924	−	0.260263i
$196$	3.23607	−	9.95959i	0.231148	−	0.711400i
$197$	15.8374			1.12837			0.564186	−	0.825648i	$-0.309190\pi$
$197$	15.8374			1.12837			0.564186	+	0.825648i	$0.309190\pi$
$198$	11.6333	−	14.9282i	0.826745	−	1.06090i
$199$	−2.23607			−0.158511			−0.0792553	−	0.996854i	$-0.525254\pi$
$199$	−2.23607			−0.158511			−0.0792553	+	0.996854i	$0.525254\pi$
$200$	−0.416272	+	1.28115i	−0.0294349	+	0.0905912i
$201$	13.9239	−	3.75560i	0.982114	−	0.264900i
$202$	−19.2082	−	13.9556i	−1.35148	−	0.981911i
$203$	−2.62866	+	0.854102i	−0.184495	+	0.0599462i
$204$	−0.373373	+	7.35738i	−0.0261413	+	0.515120i
$205$	−4.73607	+	6.51864i	−0.330781	+	0.455281i
$206$	−10.4086	+	7.56231i	−0.725203	+	0.526891i
$207$	−2.66106	−	4.57405i	−0.184956	−	0.317918i
$208$			14.2128i			0.985484i
$209$	3.44095	−	13.6803i	0.238016	−	0.946289i
$210$	−5.85410	−	2.23607i	−0.403971	−	0.154303i
$211$	6.44427	+	2.09387i	0.443642	+	0.144148i	0.522315	−	0.852752i	$-0.325068\pi$
$211$	6.44427	+	2.09387i	0.443642	+	0.144148i	−0.0786733	+	0.996900i	$0.525068\pi$
$212$	−4.61653	−	6.35410i	−0.317064	−	0.436402i
$213$	−14.9840	+	9.76600i	−1.02668	+	0.669155i
$214$	−0.100813	−	0.310271i	−0.00689144	−	0.0212097i
$215$	−1.31433	−	4.04508i	−0.0896364	−	0.275873i
$216$	0.572051	−	3.73163i	0.0389232	−	0.253905i
$217$	0.364745	+	0.502029i	0.0247605	+	0.0340799i
$218$	13.7638	+	4.47214i	0.932203	+	0.302891i
$219$	−9.40456	+	24.6215i	−0.635502	+	1.66376i
$220$	5.23607	+	13.0373i	0.353016	+	0.878973i
$221$		−	8.09017i		−	0.544204i
$222$	−6.20727	+	7.69134i	−0.416605	+	0.516209i
$223$	−5.04508	+	3.66547i	−0.337844	+	0.245458i	−0.743752	−	0.668456i	$-0.766955\pi$
$223$	−5.04508	+	3.66547i	−0.337844	+	0.245458i	0.405908	+	0.913914i	$0.366955\pi$
$224$	3.13068	−	4.30902i	0.209178	−	0.287908i
$225$	2.24556	−	5.08888i	0.149704	−	0.339259i
$226$	36.0795	−	11.7229i	2.39997	−	0.779799i
$227$	−5.11855	−	3.71885i	−0.339730	−	0.246829i	0.404818	−	0.914397i	$-0.367335\pi$
$227$	−5.11855	−	3.71885i	−0.339730	−	0.246829i	−0.744548	+	0.667569i	$0.767335\pi$
$228$	3.10413	+	11.5085i	0.205576	+	0.762171i
$229$	7.76393	−	23.8949i	0.513055	−	1.57902i	−0.273738	−	0.961804i	$-0.588260\pi$
$229$	7.76393	−	23.8949i	0.513055	−	1.57902i	0.786793	−	0.617217i	$-0.211740\pi$
$230$	8.78402			0.579201
$231$	3.94684	−	1.35719i	0.259683	−	0.0892963i
$232$	2.76393			0.181461
$233$	−2.21238	+	6.80902i	−0.144938	+	0.446074i	−0.997003	−	0.0773625i	$-0.975350\pi$
$233$	−2.21238	+	6.80902i	−0.144938	+	0.446074i	0.852065	+	0.523436i	$0.175350\pi$
$234$	1.77793	−	17.4721i	0.116227	−	1.14219i
$235$	15.5172	+	11.2739i	1.01223	+	0.735430i
$236$	4.02874	−	1.30902i	0.262249	−	0.0852097i
$237$	−18.4851	−	0.938085i	−1.20074	−	0.0609352i
$238$	−2.13525	+	2.93893i	−0.138408	+	0.190502i
$239$	−20.8702	+	15.1631i	−1.34998	+	0.980821i	−0.350971	+	0.936386i	$0.614149\pi$
$239$	−20.8702	+	15.1631i	−1.34998	+	0.980821i	−0.999012	+	0.0444345i	$0.985851\pi$
$240$	16.2958	+	13.1515i	1.05189	+	0.848926i
$241$		−	19.5762i		−	1.26101i	−0.776185	−	0.630506i	$-0.782848\pi$
$241$		−	19.5762i		−	1.26101i	0.776185	−	0.630506i	$-0.217152\pi$
$242$	−18.4333	−	9.89919i	−1.18494	−	0.636344i
$243$	−3.90983	+	15.0902i	−0.250816	+	0.968035i
$244$	6.54508	+	2.12663i	0.419006	+	0.136143i
$245$	9.95959	+	13.7082i	0.636295	+	0.875785i
$246$	5.53649	+	8.49463i	0.352994	+	0.541598i
$247$	−4.04508	−	12.4495i	−0.257383	−	0.792142i
$248$	−0.191758	−	0.590170i	−0.0121766	−	0.0374758i
$249$	13.7042	+	21.0263i	0.868468	+	1.33249i
$250$	−9.20820	−	12.6740i	−0.582378	−	0.801574i
$251$	−4.44501	−	1.44427i	−0.280567	−	0.0911616i	0.165354	−	0.986234i	$-0.447123\pi$
$251$	−4.44501	−	1.44427i	−0.280567	−	0.0911616i	−0.445920	+	0.895073i	$0.647123\pi$
$252$	−2.35114	+	2.62866i	−0.148108	+	0.165590i
$253$	−4.48936	+	3.75123i	−0.282243	+	0.235838i
$254$			25.1246i			1.57646i
$255$	−9.27584	−	7.48604i	−0.580876	−	0.468794i
$256$	−16.3992	+	11.9147i	−1.02495	+	0.744669i
$257$	6.62464	−	9.11803i	0.413234	−	0.568767i	−0.550770	−	0.834657i	$-0.685666\pi$
$257$	6.62464	−	9.11803i	0.413234	−	0.568767i	0.964003	+	0.265890i	$0.0856658\pi$
$258$	−5.34545	−	0.271271i	−0.332793	−	0.0168886i
$259$	−2.07295	+	0.673542i	−0.128807	+	0.0418519i
$260$	10.5474	+	7.66312i	0.654121	+	0.475246i
$261$	−11.3540	−	1.15537i	−0.702798	−	0.0715154i
$262$	−2.39919	+	7.38394i	−0.148222	+	0.456181i
$263$	−23.2744			−1.43516			−0.717580	−	0.696476i	$-0.754750\pi$
$263$	−23.2744			−1.43516			−0.717580	+	0.696476i	$0.754750\pi$
$264$	−4.17306	+	0.0711190i	−0.256834	+	0.00437707i
$265$	12.7082			0.780659
$266$	−1.81636	+	5.59017i	−0.111368	+	0.342755i
$267$	−4.27247	−	15.8401i	−0.261471	−	0.969401i
$268$	10.8992	+	7.91872i	0.665774	+	0.483713i
$269$	22.0988	−	7.18034i	1.34739	−	0.437793i	0.455575	−	0.890197i	$-0.349434\pi$
$269$	22.0988	−	7.18034i	1.34739	−	0.437793i	0.891813	+	0.452404i	$0.149434\pi$
$270$	−18.3876	−	18.2059i	−1.11903	−	1.10797i
$271$	−13.8820	+	19.1069i	−0.843269	+	1.16066i	0.142036	+	0.989861i	$0.454635\pi$
$271$	−13.8820	+	19.1069i	−0.843269	+	1.16066i	−0.985306	+	0.170799i	$0.945365\pi$
$272$	9.82084	−	7.13525i	0.595476	−	0.432638i
$273$	2.43236	−	3.01390i	0.147213	−	0.182410i
$274$		−	16.5640i		−	1.00067i
$275$	−5.96361	−	1.50000i	−0.359619	−	0.0904534i
$276$	1.76393	−	4.61803i	0.106176	−	0.277973i
$277$	19.5344	+	6.34712i	1.17371	+	0.381362i	0.830027	−	0.557724i	$-0.188325\pi$
$277$	19.5344	+	6.34712i	1.17371	+	0.381362i	0.343684	+	0.939085i	$0.388325\pi$
$278$	−1.93487	−	2.66312i	−0.116046	−	0.159723i
$279$	0.541028	+	2.50454i	0.0323905	+	0.149943i
$280$	0.427051	+	1.31433i	0.0255212	+	0.0785461i
$281$	5.08580	+	15.6525i	0.303393	+	0.933748i	0.980272	+	0.197654i	$0.0633322\pi$
$281$	5.08580	+	15.6525i	0.303393	+	0.933748i	−0.676879	+	0.736095i	$0.736668\pi$
$282$	20.2210	−	13.1793i	1.20414	−	0.784815i
$283$	−4.67376	−	6.43288i	−0.277826	−	0.382395i	0.647186	−	0.762332i	$-0.275946\pi$
$283$	−4.67376	−	6.43288i	−0.277826	−	0.382395i	−0.925012	+	0.379937i	$0.875946\pi$
$284$	−15.8904	−	5.16312i	−0.942925	−	0.306375i
$285$	−18.0171	−	6.88191i	−1.06724	−	0.407649i
$286$	−19.3713	+	1.31433i	−1.14545	+	0.0777178i
$287$			2.23607i			0.131991i
$288$	19.0098	−	11.0594i	1.12016	−	0.651681i
$289$	8.16312	−	5.93085i	0.480183	−	0.348874i
$290$	11.1352	−	15.3262i	0.653879	−	0.899988i
$291$	0.580966	−	11.4480i	0.0340568	−	0.671096i
$292$	−23.4164	+	7.60845i	−1.37034	+	0.445251i
$293$	7.91872	+	5.75329i	0.462617	+	0.336111i	0.794557	−	0.607190i	$-0.207703\pi$
$293$	7.91872	+	5.75329i	0.462617	+	0.336111i	−0.331940	+	0.943300i	$0.607703\pi$
$294$	20.5871	−	5.55284i	1.20066	−	0.323848i
$295$	−2.11803	+	6.51864i	−0.123317	+	0.379530i
$296$	2.17963			0.126688
$297$	17.1724	+	1.45225i	0.996443	+	0.0842683i
$298$	0.326238			0.0188985
$299$	−1.67760	+	5.16312i	−0.0970181	+	0.298591i
$300$	5.01686	−	1.35317i	0.289649	−	0.0781253i
$301$	−0.954915	−	0.693786i	−0.0550404	−	0.0399892i
$302$	31.7809	−	10.3262i	1.82878	−	0.594208i
$303$	1.09576	−	21.5921i	0.0629496	−	1.24043i
$304$	11.5451	−	15.8904i	0.662156	−	0.911380i
$305$	−9.00854	+	6.54508i	−0.515827	+	0.374770i
$306$	−12.9655	+	7.54297i	−0.741187	+	0.431203i
$307$			5.87785i			0.335467i	0.985832	+	0.167733i	$0.0536448\pi$
$307$			5.87785i			0.335467i	−0.985832	+	0.167733i	$0.946355\pi$
$308$	3.30220	+	2.07295i	0.188160	+	0.118117i
$309$	−10.9443	−	4.18034i	−0.622598	−	0.237811i
$310$	−4.04508	−	1.31433i	−0.229745	−	0.0746488i
$311$	−2.93893	−	4.04508i	−0.166651	−	0.229376i	0.717521	−	0.696537i	$-0.245277\pi$
$311$	−2.93893	−	4.04508i	−0.166651	−	0.229376i	−0.884172	+	0.467161i	$0.845277\pi$
$312$	−3.24466	+	2.11475i	−0.183693	+	0.119724i
$313$	3.39919	+	10.4616i	0.192133	+	0.591326i	0.999998	+	0.00195780i	$0.000623187\pi$
$313$	3.39919	+	10.4616i	0.192133	+	0.591326i	−0.807865	+	0.589368i	$0.799377\pi$
$314$	2.17963	+	6.70820i	0.123004	+	0.378566i
$315$	−1.20489	−	5.57768i	−0.0678877	−	0.314267i
$316$	−10.1631	−	13.9883i	−0.571720	−	0.786905i
$317$	−0.224514	−	0.0729490i	−0.0126100	−	0.00409722i	0.302705	−	0.953084i	$-0.402110\pi$
$317$	−0.224514	−	0.0729490i	−0.0126100	−	0.00409722i	−0.315315	+	0.948987i	$0.602110\pi$
$318$	5.70634	−	14.9394i	0.319996	−	0.837759i
$319$	0.854102	+	12.5882i	0.0478205	+	0.704807i
$320$			12.3262i			0.689058i
$321$	0.186570	−	0.231176i	0.0104133	−	0.0129030i
$322$	1.97214	−	1.43284i	0.109903	−	0.0798491i
$323$	−6.57164	+	9.04508i	−0.365656	+	0.503282i
$324$	−13.2638	+	6.01098i	−0.736879	+	0.333943i
$325$	−5.42705	+	1.76336i	−0.301039	+	0.0978134i
$326$	−19.0539	−	13.8435i	−1.05530	−	0.766718i
$327$	3.43184	+	12.7235i	0.189781	+	0.703613i
$328$	0.690983	−	2.12663i	0.0381532	−	0.117423i
$329$	5.32282			0.293457
$330$	−16.4178	+	23.4265i	−0.903772	+	1.28959i
$331$	−22.8885			−1.25807			−0.629034	−	0.777378i	$-0.716549\pi$
$331$	−22.8885			−1.25807			−0.629034	+	0.777378i	$0.716549\pi$
$332$	−7.24518	+	22.2984i	−0.397631	+	1.22378i
$333$	−8.95376	−	0.911119i	−0.490663	−	0.0499290i
$334$	−0.163119	−	0.118513i	−0.00892547	−	0.00648474i
$335$	−20.7315	+	6.73607i	−1.13268	+	0.368031i
$336$	5.80390	+	0.294537i	0.316629	+	0.0160683i
$337$	6.05573	−	8.33499i	0.329877	−	0.454036i	−0.611574	−	0.791187i	$-0.709463\pi$
$337$	6.05573	−	8.33499i	0.329877	−	0.454036i	0.941451	+	0.337151i	$0.109463\pi$
$338$	5.42882	−	3.94427i	0.295289	−	0.214540i
$339$	26.8821	+	21.6951i	1.46003	+	1.17832i
$340$		−	11.1352i		−	0.603889i
$341$	2.62866	−	1.05573i	0.142350	−	0.0571709i
$342$	−16.1803	+	18.0902i	−0.874933	+	0.978204i
$343$	9.30902	+	3.02468i	0.502640	+	0.163318i
$344$	0.693786	+	0.954915i	0.0374065	+	0.0514856i
$345$	4.36749	+	6.70103i	0.235138	+	0.360771i
$346$	13.0279	+	40.0956i	0.700382	+	2.15556i
$347$	9.51057	+	29.2705i	0.510554	+	1.57132i	0.791229	+	0.611520i	$0.209442\pi$
$347$	9.51057	+	29.2705i	0.510554	+	1.57132i	−0.280675	+	0.959803i	$0.590558\pi$
$348$	−5.82141	−	8.93179i	−0.312060	−	0.478794i
$349$	9.57295	+	13.1760i	0.512428	+	0.705297i	0.984326	−	0.176356i	$-0.0564310\pi$
$349$	9.57295	+	13.1760i	0.512428	+	0.705297i	−0.471898	+	0.881653i	$0.656431\pi$
$350$	2.43690	+	0.791796i	0.130258	+	0.0423233i
$351$	14.2128	−	7.33094i	0.758626	−	0.391297i
$352$	−15.5902	−	18.6579i	−0.830959	−	0.994467i
$353$		−	15.5967i		−	0.830131i	−0.909792	−	0.415066i	$-0.863759\pi$
$353$		−	15.5967i		−	0.830131i	0.909792	−	0.415066i	$-0.136241\pi$
$354$	6.71206	+	5.41695i	0.356742	+	0.287908i
$355$	21.8713	−	15.8904i	1.16081	−	0.843377i
$356$	9.00854	−	12.3992i	0.477451	−	0.657156i
$357$	−3.30367	−	0.167655i	−0.174849	−	0.00887324i
$358$	7.13525	−	2.31838i	0.377110	−	0.122530i
$359$	−20.1967	−	14.6738i	−1.06594	−	0.774452i	−0.0907628	−	0.995873i	$-0.528931\pi$
$359$	−20.1967	−	14.6738i	−1.06594	−	0.774452i	−0.975178	+	0.221421i	$0.928931\pi$
$360$	−0.577684	+	5.67702i	−0.0304466	+	0.299205i
$361$	0.281153	−	0.865300i	0.0147975	−	0.0455421i
$362$	−23.2744			−1.22327
$363$	−1.61346	−	18.9841i	−0.0846845	−	0.996408i
$364$	3.61803			0.189637
$365$	12.3107	−	37.8885i	0.644373	−	1.98318i
$366$	3.64912	+	13.5291i	0.190743	+	0.707177i
$367$	18.5902	+	13.5065i	0.970399	+	0.705036i	0.955542	−	0.294854i	$-0.0952709\pi$
$367$	18.5902	+	13.5065i	0.970399	+	0.705036i	0.0148565	+	0.999890i	$0.495271\pi$
$368$	−7.74721	+	2.51722i	−0.403851	+	0.131219i
$369$	−3.72747	+	8.44720i	−0.194045	+	0.439744i
$370$	8.78115	−	12.0862i	0.456510	−	0.628333i
$371$	2.85317	−	2.07295i	0.148129	−	0.107622i
$372$	−1.50328	+	1.86269i	−0.0779416	+	0.0965762i
$373$		−	19.5357i		−	1.01152i	−0.862675	−	0.505759i	$-0.831212\pi$
$373$		−	19.5357i		−	1.01152i	0.862675	−	0.505759i	$-0.168788\pi$
$374$	10.6331	+	12.7254i	0.549826	+	0.658016i
$375$	5.09017	−	13.3262i	0.262855	−	0.688164i
$376$	−5.06231	−	1.64484i	−0.261068	−	0.0848263i
$377$	6.88191	+	9.47214i	0.354436	+	0.487840i
$378$	−7.09799	−	1.08811i	−0.365081	−	0.0559662i
$379$	−10.1631	−	31.2789i	−0.522044	−	1.60669i	−0.770087	−	0.637938i	$-0.779787\pi$
$379$	−10.1631	−	31.2789i	−0.522044	−	1.60669i	0.248043	−	0.968749i	$-0.420213\pi$
$380$	−5.56758	−	17.1353i	−0.285611	−	0.879020i
$381$	−19.1667	+	12.4922i	−0.981940	+	0.639993i
$382$	22.0967	+	30.4136i	1.13057	+	1.55609i
$383$	13.7108	+	4.45492i	0.700590	+	0.227636i	0.637588	−	0.770378i	$-0.279932\pi$
$383$	13.7108	+	4.45492i	0.700590	+	0.227636i	0.0630025	+	0.998013i	$0.479932\pi$
$384$	−9.23305	−	3.52671i	−0.471172	−	0.179972i
$385$	−5.85410	+	2.35114i	−0.298353	+	0.119825i
$386$		−	38.4164i		−	1.95534i
$387$	−2.45086	−	4.21274i	−0.124584	−	0.214146i
$388$	8.66312	−	6.29412i	0.439803	−	0.319536i
$389$	−5.65334	+	7.78115i	−0.286636	+	0.394520i	−0.927918	−	0.372785i	$-0.878403\pi$
$389$	−5.65334	+	7.78115i	−0.286636	+	0.394520i	0.641282	+	0.767305i	$0.278403\pi$
$390$	−1.34542	+	26.5117i	−0.0681279	+	1.34247i
$391$	4.40983	−	1.43284i	0.223015	−	0.0724619i
$392$	−3.80423	−	2.76393i	−0.192142	−	0.139600i
$393$	−6.82585	+	1.84110i	−0.344318	+	0.0928710i
$394$	−9.30902	+	28.6502i	−0.468982	+	1.44338i
$395$	27.9767			1.40766
$396$	9.01916	+	13.3357i	0.453230	+	0.670143i
$397$	−23.0000			−1.15434			−0.577168	−	0.816625i	$-0.695842\pi$
$397$	−23.0000			−1.15434			−0.577168	+	0.816625i	$0.695842\pi$
$398$	1.31433	−	4.04508i	0.0658813	−	0.202762i
$399$	−5.16765	+	1.39384i	−0.258706	+	0.0697793i
$400$	−6.92705	−	5.03280i	−0.346353	−	0.251640i
$401$	−20.1109	+	6.53444i	−1.00429	+	0.326314i	−0.764580	−	0.644529i	$-0.777053\pi$
$401$	−20.1109	+	6.53444i	−1.00429	+	0.326314i	−0.239713	+	0.970844i	$0.577053\pi$
$402$	−1.39029	+	27.3960i	−0.0693416	+	1.36639i
$403$	1.54508	−	2.12663i	0.0769662	−	0.105935i
$404$	16.3395	−	11.8713i	0.812919	−	0.590620i
$405$	4.74617	−	23.0793i	0.235839	−	1.14682i
$406$		−	5.25731i		−	0.260916i
$407$	0.673542	+	9.92705i	0.0333862	+	0.492066i
$408$	3.09017	+	1.18034i	0.152986	+	0.0584355i
$409$	−32.5623	−	10.5801i	−1.61010	−	0.523154i	−0.640525	−	0.767938i	$-0.721283\pi$
$409$	−32.5623	−	10.5801i	−1.61010	−	0.523154i	−0.969578	+	0.244784i	$0.921283\pi$
$410$	−9.00854	−	12.3992i	−0.444900	−	0.612352i
$411$	12.6361	−	8.23575i	0.623293	−	0.406239i
$412$	−3.38197	−	10.4086i	−0.166618	−	0.512796i
$413$	0.587785	+	1.80902i	0.0289230	+	0.0890159i
$414$	9.83865	−	2.12534i	0.483543	−	0.104455i
$415$	−22.2984	−	30.6911i	−1.09458	−	1.50657i
$416$	−21.4580	−	6.97214i	−1.05207	−	0.341837i
$417$	1.06957	−	2.80017i	0.0523770	−	0.137125i
$418$	22.7254	+	14.2658i	1.11154	+	0.697765i
$419$			5.85410i			0.285992i	0.989723	+	0.142996i	$0.0456735\pi$
$419$			5.85410i			0.285992i	−0.989723	+	0.142996i	$0.954326\pi$
$420$	3.34786	−	4.14828i	0.163359	−	0.202415i
$421$	−20.9164	+	15.1967i	−1.01940	+	0.740640i	−0.966160	−	0.257942i	$-0.916956\pi$
$421$	−20.9164	+	15.1967i	−1.01940	+	0.740640i	−0.0532429	+	0.998582i	$0.516956\pi$
$422$	−7.57570	+	10.4271i	−0.368779	+	0.507581i
$423$	20.1080	+	8.87303i	0.977686	+	0.431421i
$424$	−3.35410	+	1.08981i	−0.162890	+	0.0529260i
$425$	3.94298	+	2.86475i	0.191263	+	0.138961i
$426$	−8.85950	−	32.8465i	−0.429244	−	1.59142i
$427$	−0.954915	+	2.93893i	−0.0462116	+	0.142225i
$428$	0.277515			0.0134142
$429$	−10.6342	−	14.1242i	−0.513426	−	0.681924i
$430$	8.09017			0.390143
$431$	6.96767	−	21.4443i	0.335621	−	1.03293i	−0.630795	−	0.775950i	$-0.717271\pi$
$431$	6.96767	−	21.4443i	0.335621	−	1.03293i	0.966416	−	0.256985i	$-0.0827290\pi$
$432$	21.4344	+	10.7877i	1.03126	+	0.519021i
$433$	4.85410	+	3.52671i	0.233273	+	0.169483i	0.698281	−	0.715824i	$-0.253949\pi$
$433$	4.85410	+	3.52671i	0.233273	+	0.169483i	−0.465008	+	0.885307i	$0.653949\pi$
$434$	−1.12257	+	0.364745i	−0.0538851	+	0.0175083i
$435$	17.2284	+	0.874305i	0.826036	+	0.0419197i
$436$	−7.23607	+	9.95959i	−0.346545	+	0.476978i
$437$	6.06961	−	4.40983i	0.290349	−	0.210951i
$438$	−39.0128	−	31.4852i	−1.86410	−	1.50442i
$439$			25.3480i			1.20979i	0.796304	+	0.604897i	$0.206786\pi$
$439$			25.3480i			1.20979i	−0.796304	+	0.604897i	$0.793214\pi$
$440$	6.29412	−	0.427051i	0.300061	−	0.0203589i
$441$	14.4721	+	12.9443i	0.689149	+	0.616394i
$442$	14.6353	+	4.75528i	0.696128	+	0.226186i
$443$	6.15537	+	8.47214i	0.292450	+	0.402523i	0.929808	−	0.368045i	$-0.119973\pi$
$443$	6.15537	+	8.47214i	0.292450	+	0.402523i	−0.637358	+	0.770568i	$0.719973\pi$
$444$	−4.59075	−	7.04358i	−0.217867	−	0.334273i
$445$	7.66312	+	23.5847i	0.363267	+	1.11802i
$446$	−3.66547	−	11.2812i	−0.173565	−	0.534178i
$447$	0.162208	+	0.248876i	0.00767218	+	0.0117714i
$448$	2.01064	+	2.76741i	0.0949940	+	0.130748i
$449$	−7.50245	−	2.43769i	−0.354063	−	0.115042i	0.126585	−	0.991956i	$-0.459598\pi$
$449$	−7.50245	−	2.43769i	−0.354063	−	0.115042i	−0.480648	+	0.876914i	$0.659598\pi$
$450$	7.88597	+	7.05342i	0.371748	+	0.332502i
$451$	9.89919	+	2.48990i	0.466135	+	0.117245i
$452$			32.2705i			1.51788i
$453$	23.6792	+	19.1103i	1.11255	+	0.897878i
$454$	9.73607	−	7.07367i	0.456936	−	0.331984i
$455$	−3.44095	+	4.73607i	−0.161314	+	0.222030i
$456$	5.34545	+	0.271271i	0.250324	+	0.0127034i
$457$	10.2639	−	3.33495i	0.480126	−	0.156003i	−0.0589473	−	0.998261i	$-0.518774\pi$
$457$	10.2639	−	3.33495i	0.480126	−	0.156003i	0.539074	+	0.842259i	$0.318774\pi$
$458$	38.6628	+	28.0902i	1.80659	+	1.31257i
$459$	−12.2008	−	6.14050i	−0.569485	−	0.286614i
$460$	−2.30902	+	7.10642i	−0.107658	+	0.331339i
$461$	−26.8666			−1.25130			−0.625651	−	0.780103i	$-0.715167\pi$
$461$	−26.8666			−1.25130			−0.625651	+	0.780103i	$0.715167\pi$
$462$	0.135276	+	7.93764i	0.00629363	+	0.369292i
$463$	−0.270510			−0.0125717			−0.00628583	−	0.999980i	$-0.502001\pi$
$463$	−0.270510			−0.0125717			−0.00628583	+	0.999980i	$0.502001\pi$
$464$	−5.42882	+	16.7082i	−0.252027	+	0.775659i
$465$	−1.00859	−	3.73935i	−0.0467724	−	0.173408i
$466$	−11.0172	−	8.00448i	−0.510363	−	0.370800i
$467$	−22.4948	+	7.30902i	−1.04094	+	0.338221i	−0.779106	−	0.626893i	$-0.784326\pi$
$467$	−22.4948	+	7.30902i	−1.04094	+	0.338221i	−0.261831	+	0.965114i	$0.584326\pi$
$468$	13.6679	+	6.03118i	0.631797	+	0.278791i
$469$	−3.55573	+	4.89404i	−0.164188	+	0.225986i
$470$	−29.5155	+	21.4443i	−1.36145	+	0.989151i
$471$	−4.03373	+	4.99814i	−0.185864	+	0.230302i
$472$		−	1.90211i		−	0.0875518i
$473$	−4.13474	+	3.45492i	−0.190116	+	0.158857i
$474$	12.5623	−	32.8885i	0.577006	−	1.51062i
$475$	7.50000	+	2.43690i	0.344124	+	0.111813i
$476$	−1.81636	−	2.50000i	−0.0832526	−	0.114587i
$477$	14.2340	−	3.07481i	0.651729	−	0.140786i
$478$	−15.1631	−	46.6673i	−0.693545	−	2.13451i
$479$	−7.07367	−	21.7705i	−0.323204	−	0.994720i	−0.972245	−	0.233966i	$-0.924829\pi$
$479$	−7.07367	−	21.7705i	−0.323204	−	0.994720i	0.649041	−	0.760754i	$-0.275171\pi$
$480$	−27.8496	+	18.1514i	−1.27116	+	0.828492i
$481$	5.42705	+	7.46969i	0.247452	+	0.340589i
$482$	35.4136	+	11.5066i	1.61305	+	0.524110i
$483$	2.07363	+	0.792055i	0.0943533	+	0.0360397i
$484$	12.8541	−	12.3107i	0.584277	−	0.559579i
$485$			17.3262i			0.786744i
$486$	−25.0002	−	15.9427i	−1.13403	−	0.723177i
$487$	6.04508	−	4.39201i	0.273929	−	0.199021i	−0.442336	−	0.896849i	$-0.645850\pi$
$487$	6.04508	−	4.39201i	0.273929	−	0.199021i	0.716265	+	0.697828i	$0.245850\pi$
$488$	1.81636	−	2.50000i	0.0822226	−	0.113170i
$489$	1.08695	−	21.4186i	0.0491538	−	0.968584i
$490$	−30.6525	+	9.95959i	−1.38474	+	0.449929i
$491$	21.5968	+	15.6910i	0.974649	+	0.708124i	0.956506	−	0.291711i	$-0.0942246\pi$
$491$	21.5968	+	15.6910i	0.974649	+	0.708124i	0.0181429	+	0.999835i	$0.494225\pi$
$492$	−8.32766	+	2.24617i	−0.375440	+	0.101265i
$493$	3.09017	−	9.51057i	0.139174	−	0.428334i
$494$	24.8990			1.12026
$495$	−26.0344	−	0.876746i	−1.17016	−	0.0394068i
$496$	3.94427			0.177103
$497$	2.31838	−	7.13525i	0.103994	−	0.320060i
$498$	−46.0921	+	12.4322i	−2.06544	+	0.557098i
$499$	−8.88197	−	6.45313i	−0.397611	−	0.288882i	0.370956	−	0.928650i	$-0.379030\pi$
$499$	−8.88197	−	6.45313i	−0.397611	−	0.288882i	−0.768567	+	0.639769i	$0.779030\pi$
$500$	12.6740	−	4.11803i	0.566799	−	0.184164i
$501$	0.00930534	−	0.183363i	0.000415732	−	0.00819207i
$502$	5.22542	−	7.19218i	0.233222	−	0.321003i
$503$	4.25325	−	3.09017i	0.189643	−	0.137784i	−0.488912	−	0.872333i	$-0.662606\pi$
$503$	4.25325	−	3.09017i	0.189643	−	0.137784i	0.678556	+	0.734549i	$0.262606\pi$
$504$	0.796332	+	1.36880i	0.0354714	+	0.0609713i
$505$			32.6789i			1.45419i
$506$	−4.14725	−	10.3262i	−0.184368	−	0.459057i
$507$	5.70820	+	2.18034i	0.253510	+	0.0968323i
$508$	−20.3262	−	6.60440i	−0.901831	−	0.293023i
$509$	−0.159002	−	0.218847i	−0.00704763	−	0.00970022i	0.805479	−	0.592625i	$-0.201908\pi$
$509$	−0.159002	−	0.218847i	−0.00704763	−	0.00970022i	−0.812526	+	0.582925i	$0.801908\pi$
$510$	18.9946	−	12.3800i	0.841094	−	0.548194i
$511$	−3.41641	−	10.5146i	−0.151133	−	0.465140i
$512$	−8.38800	−	25.8156i	−0.370701	−	1.14090i
$513$	−21.8454	−	3.34885i	−0.964496	−	0.147855i
$514$	12.6008	+	17.3435i	0.555798	+	0.764990i
$515$	16.8415	+	5.47214i	0.742125	+	0.241131i
$516$	1.62460	−	4.25325i	0.0715190	−	0.187239i
$517$	5.92705	−	23.5644i	0.260671	−	1.03636i
$518$		−	4.14590i		−	0.182160i
$519$	−24.1100	+	29.8744i	−1.05831	+	1.31134i
$520$	4.73607	−	3.44095i	0.207690	−	0.150896i
$521$	−11.9272	+	16.4164i	−0.522541	+	0.719216i	−0.985971	−	0.166918i	$-0.946619\pi$
$521$	−11.9272	+	16.4164i	−0.522541	+	0.719216i	0.463430	+	0.886134i	$0.346619\pi$
$522$	8.76382	−	19.8606i	0.383582	−	0.869273i
$523$	−3.02786	+	0.983813i	−0.132399	+	0.0430191i	−0.374467	−	0.927240i	$-0.622174\pi$
$523$	−3.02786	+	0.983813i	−0.132399	+	0.0430191i	0.242068	+	0.970259i	$0.422174\pi$
$524$	−5.34307	−	3.88197i	−0.233413	−	0.169584i
$525$	0.607611	+	2.25271i	0.0265183	+	0.0983164i
$526$	13.6803	−	42.1038i	0.596491	−	1.83581i
$527$	−2.24514			−0.0977998
$528$	7.76667	−	25.3662i	0.338001	−	1.10392i
$529$	19.8885			0.864719
$530$	−7.46969	+	22.9894i	−0.324463	+	0.998594i
$531$	−0.795113	+	7.81375i	−0.0345050	+	0.339088i
$532$	−4.04508	−	2.93893i	−0.175377	−	0.127419i
$533$	9.00854	−	2.92705i	0.390203	−	0.126785i
$534$	31.1664	+	1.58163i	1.34870	+	0.0684440i
$535$	−0.263932	+	0.363271i	−0.0114108	+	0.0157056i
$536$	4.89404	−	3.55573i	0.211390	−	0.153584i
$537$	5.31632	+	4.29052i	0.229416	+	0.185150i
$538$			44.1976i			1.90550i
$539$	11.4127	−	18.1803i	0.491579	−	0.783083i
$540$	19.5623	−	10.0902i	0.841828	−	0.434212i
$541$	23.5172	+	7.64121i	1.01108	+	0.328521i	0.767286	−	0.641305i	$-0.221607\pi$
$541$	23.5172	+	7.64121i	1.01108	+	0.328521i	0.243798	+	0.969826i	$0.421607\pi$
$542$	−26.4051	−	36.3435i	−1.13419	−	1.56109i
$543$	−11.5722	−	17.7552i	−0.496611	−	0.761950i
$544$	5.95492	+	18.3273i	0.255315	+	0.785778i
$545$	−6.15537	−	18.9443i	−0.263667	−	0.811483i
$546$	4.02250	+	6.17171i	0.172147	+	0.264125i
$547$	18.0517	+	24.8460i	0.771833	+	1.06234i	0.996137	+	0.0878181i	$0.0279894\pi$
$547$	18.0517	+	24.8460i	0.771833	+	1.06234i	−0.224303	+	0.974519i	$0.572011\pi$
$548$	13.4005	+	4.35410i	0.572443	+	0.185998i
$549$	−8.50651	+	9.51057i	−0.363049	+	0.405901i
$550$	6.21885	−	9.90659i	0.265173	−	0.422419i
$551$		−	16.1803i		−	0.689306i
$552$	−1.72738	−	1.39407i	−0.0735221	−	0.0593358i
$553$	6.28115	−	4.56352i	0.267102	−	0.194061i
$554$	−22.9641	+	31.6074i	−0.975652	+	1.34287i
$555$	13.5862	+	0.689474i	0.576703	+	0.0292666i
$556$	2.66312	−	0.865300i	0.112941	−	0.0366969i
$557$	−6.51864	−	4.73607i	−0.276204	−	0.200674i	0.441056	−	0.897479i	$-0.354604\pi$
$557$	−6.51864	−	4.73607i	−0.276204	−	0.200674i	−0.717260	+	0.696806i	$0.754604\pi$
$558$	−4.84876	−	0.493401i	−0.205264	−	0.0208873i
$559$	−1.54508	+	4.75528i	−0.0653501	+	0.201127i
$560$	−8.78402			−0.371193
$561$	−4.42091	+	14.4388i	−0.186651	+	0.609608i
$562$	−31.3050			−1.32052
$563$	−7.10642	+	21.8713i	−0.299500	+	0.921766i	0.682173	+	0.731191i	$0.261035\pi$
$563$	−7.10642	+	21.8713i	−0.299500	+	0.921766i	−0.981673	+	0.190575i	$0.938965\pi$
$564$	5.34687	+	19.8235i	0.225144	+	0.834719i
$565$	−42.2426	−	30.6911i	−1.77716	−	1.29118i
$566$	14.3844	−	4.67376i	0.604620	−	0.196453i
$567$	−2.69910	−	5.95583i	−0.113351	−	0.250121i
$568$	−4.40983	+	6.06961i	−0.185032	+	0.254675i
$569$	6.60440	−	4.79837i	0.276871	−	0.201158i	−0.440681	−	0.897664i	$-0.645263\pi$
$569$	6.60440	−	4.79837i	0.276871	−	0.201158i	0.717551	+	0.696506i	$0.245263\pi$
$570$	23.0397	−	28.5481i	0.965025	−	1.19575i
$571$		−	6.04937i		−	0.253158i	−0.991957	−	0.126579i	$-0.959600\pi$
$571$		−	6.04937i		−	0.253158i	0.991957	−	0.126579i	$-0.0403997\pi$
$572$	4.02874	−	16.0172i	0.168450	−	0.669714i
$573$	−12.2148	+	31.9787i	−0.510280	+	1.33593i
$574$	−4.04508	−	1.31433i	−0.168839	−	0.0548590i
$575$	−1.92236	−	2.64590i	−0.0801678	−	0.110342i
$576$	2.98240	+	13.8062i	0.124266	+	0.575257i
$577$	−2.47214	−	7.60845i	−0.102916	−	0.316744i	0.886319	−	0.463074i	$-0.153254\pi$
$577$	−2.47214	−	7.60845i	−0.102916	−	0.316744i	−0.989236	+	0.146330i	$0.953254\pi$
$578$	5.93085	+	18.2533i	0.246691	+	0.759237i
$579$	29.3066	−	19.1009i	1.21794	−	0.793808i
$580$	9.47214	+	13.0373i	0.393309	+	0.541343i
$581$	−10.0126	−	3.25329i	−0.415392	−	0.134969i
$582$	20.3682	+	7.77997i	0.844290	+	0.322490i
$583$	−6.00000	−	14.9394i	−0.248495	−	0.618726i
$584$			11.0557i			0.457489i
$585$	−20.8938	+	12.1555i	−0.863853	+	0.502566i
$586$	−15.0623	+	10.9434i	−0.622218	+	0.452068i
$587$	−3.49396	+	4.80902i	−0.144211	+	0.198489i	−0.875012	−	0.484101i	$-0.839147\pi$
$587$	−3.49396	+	4.80902i	−0.144211	+	0.198489i	0.730801	+	0.682590i	$0.239147\pi$
$588$	−0.919299	+	18.1150i	−0.0379113	+	0.747048i
$589$	−3.45492	+	1.12257i	−0.142357	+	0.0462547i
$590$	−10.5474	−	7.66312i	−0.434229	−	0.315486i
$591$	−26.4848	+	7.14358i	−1.08944	+	0.293848i
$592$	−4.28115	+	13.1760i	−0.175954	+	0.541532i
$593$	−3.35520			−0.137781			−0.0688907	−	0.997624i	$-0.521946\pi$
$593$	−3.35520			−0.137781			−0.0688907	+	0.997624i	$0.521946\pi$
$594$	−12.7208	+	30.2115i	−0.521942	+	1.23959i
$595$	5.00000			0.204980
$596$	−0.0857567	+	0.263932i	−0.00351273	+	0.0108111i
$597$	3.73935	−	1.00859i	0.153041	−	0.0412790i
$598$	−8.35410	−	6.06961i	−0.341625	−	0.248205i
$599$	7.88597	−	2.56231i	0.322212	−	0.104693i	−0.143445	−	0.989658i	$-0.545818\pi$
$599$	7.88597	−	2.56231i	0.322212	−	0.104693i	0.465657	+	0.884965i	$0.345818\pi$
$600$	0.118254	−	2.33022i	0.00482770	−	0.0951308i
$601$	10.2254	−	14.0741i	0.417104	−	0.574094i	−0.547829	−	0.836590i	$-0.684546\pi$
$601$	10.2254	−	14.0741i	0.417104	−	0.574094i	0.964933	+	0.262496i	$0.0845457\pi$
$602$	1.81636	−	1.31966i	0.0740292	−	0.0537853i
$603$	−21.5907	+	12.5609i	−0.879243	+	0.511520i
$604$			28.4257i			1.15663i
$605$	3.88998	+	28.5344i	0.158150	+	1.16009i
$606$	38.4164	+	14.6738i	1.56056	+	0.596081i
$607$	−11.7705	−	3.82447i	−0.477750	−	0.155230i	0.0602359	−	0.998184i	$-0.480815\pi$
$607$	−11.7705	−	3.82447i	−0.477750	−	0.155230i	−0.537986	+	0.842954i	$0.680815\pi$
$608$	18.3273	+	25.2254i	0.743272	+	1.02303i
$609$	4.01062	−	2.61398i	0.162519	−	0.105924i
$610$	−6.54508	−	20.1437i	−0.265003	−	0.815595i
$611$	−6.96767	−	21.4443i	−0.281882	−	0.867542i
$612$	−2.69421	−	12.4721i	−0.108907	−	0.504154i
$613$	13.8197	+	19.0211i	0.558171	+	0.768256i	0.991092	−	0.133175i	$-0.0425173\pi$
$613$	13.8197	+	19.0211i	0.558171	+	0.768256i	−0.432922	+	0.901432i	$0.642517\pi$
$614$	−10.6331	−	3.45492i	−0.429118	−	0.139429i
$615$	4.97980	−	13.0373i	0.200805	−	0.525714i
$616$	1.34346	−	1.12257i	0.0541295	−	0.0452296i
$617$		−	20.2361i		−	0.814673i	−0.913278	−	0.407337i	$-0.866458\pi$
$617$		−	20.2361i		−	0.814673i	0.913278	−	0.407337i	$-0.133542\pi$
$618$	13.9952	−	17.3412i	0.562969	−	0.697567i
$619$	−10.0451	+	7.29818i	−0.403746	+	0.293339i	−0.771065	−	0.636756i	$-0.780276\pi$
$619$	−10.0451	+	7.29818i	−0.403746	+	0.293339i	0.367319	+	0.930095i	$0.380276\pi$
$620$	2.12663	−	2.92705i	0.0854074	−	0.117553i
$621$	6.51320	+	6.44884i	0.261366	+	0.258783i
$622$	9.04508	−	2.93893i	0.362675	−	0.117840i
$623$	5.56758	+	4.04508i	0.223060	+	0.162063i
$624$	−6.41080	−	23.7680i	−0.256637	−	0.951481i
$625$	−9.52786	+	29.3238i	−0.381115	+	1.17295i
$626$	−20.9232			−0.836261
$627$	0.416338	+	24.4295i	0.0166269	+	0.975622i
$628$	−6.00000			−0.239426
$629$	2.43690	−	7.50000i	0.0971655	−	0.299045i
$630$	10.7983	+	1.09882i	0.430216	+	0.0437780i
$631$	10.0729	+	7.31843i	0.400998	+	0.291342i	0.769947	−	0.638108i	$-0.220282\pi$
$631$	10.0729	+	7.31843i	0.400998	+	0.291342i	−0.368950	+	0.929449i	$0.620282\pi$
$632$	−7.38394	+	2.39919i	−0.293717	+	0.0954345i
$633$	−11.7211	−	0.594825i	−0.465873	−	0.0236422i
$634$	0.263932	−	0.363271i	0.0104821	−	0.0144273i
$635$	27.9767	−	20.3262i	1.11022	−	0.806622i
$636$	10.5862	+	8.54358i	0.419771	+	0.338775i
$637$		−	19.9192i		−	0.789227i
$638$	−23.2744	−	5.85410i	−0.921442	−	0.231766i
$639$	20.6525	−	23.0902i	0.816999	−	0.913433i
$640$	14.2082	+	4.61653i	0.561629	+	0.182484i
$641$	−10.4944	−	14.4443i	−0.414503	−	0.570514i	0.549806	−	0.835292i	$-0.314701\pi$
$641$	−10.4944	−	14.4443i	−0.414503	−	0.570514i	−0.964310	+	0.264778i	$0.914701\pi$
$642$	0.308538	+	0.473390i	0.0121770	+	0.0186832i
$643$	2.44427	+	7.52270i	0.0963927	+	0.296666i	0.987614	−	0.156902i	$-0.0501508\pi$
$643$	2.44427	+	7.52270i	0.0963927	+	0.296666i	−0.891221	+	0.453568i	$0.850151\pi$
$644$	0.640786	+	1.97214i	0.0252505	+	0.0777130i
$645$	4.02250	+	6.17171i	0.158386	+	0.243011i
$646$	−12.5000	−	17.2048i	−0.491806	−	0.676913i
$647$	−41.9978	−	13.6459i	−1.65110	−	0.536476i	−0.672124	−	0.740439i	$-0.734618\pi$
$647$	−41.9978	−	13.6459i	−1.65110	−	0.536476i	−0.978979	+	0.203963i	$0.934618\pi$
$648$	0.726543	+	6.49839i	0.0285413	+	0.255281i
$649$	8.66312	−	0.587785i	0.340057	−	0.0230726i
$650$		−	10.8541i		−	0.425733i
$651$	−0.836402	−	0.675016i	−0.0327812	−	0.0264560i
$652$	16.2082	−	11.7759i	0.634762	−	0.461182i
$653$	20.6582	−	28.4336i	0.808419	−	1.11269i	−0.183146	−	0.983086i	$-0.558628\pi$
$653$	20.6582	−	28.4336i	0.808419	−	1.11269i	0.991565	−	0.129608i	$-0.0413719\pi$
$654$	−25.0343	−	1.27044i	−0.978917	−	0.0496781i
$655$	10.1631	−	3.30220i	0.397106	−	0.129028i
$656$	11.4984	+	8.35410i	0.448938	+	0.326173i
$657$	4.62147	−	45.4162i	0.180301	−	1.77185i
$658$	−3.12868	+	9.62908i	−0.121969	+	0.375381i
$659$	39.8384			1.55188			0.775941	−	0.630805i	$-0.217275\pi$
$659$	39.8384			1.55188			0.775941	+	0.630805i	$0.217275\pi$
$660$	−14.6368	−	19.4403i	−0.569735	−	0.756714i
$661$	32.4508			1.26219			0.631096	−	0.775705i	$-0.282605\pi$
$661$	32.4508			1.26219			0.631096	+	0.775705i	$0.282605\pi$
$662$	13.4535	−	41.4058i	0.522887	−	1.60928i
$663$	3.64912	+	13.5291i	0.141720	+	0.525427i
$664$	8.51722	+	6.18812i	0.330532	+	0.240146i
$665$	7.69421	−	2.50000i	0.298369	−	0.0969458i
$666$	6.91112	−	15.6620i	0.267800	−	0.606889i
$667$	−3.94427	+	5.42882i	−0.152723	+	0.210205i
$668$	0.138757	−	0.100813i	0.00536868	−	0.00390057i
$669$	6.78350	−	8.40534i	0.262265	−	0.324969i
$670$		−	41.4630i		−	1.60185i
$671$	11.9475	+	7.50000i	0.461227	+	0.289534i
$672$	−3.29180	+	8.61803i	−0.126984	+	0.332448i
$673$	−28.5795	−	9.28605i	−1.10166	−	0.357951i	−0.298919	−	0.954279i	$-0.596626\pi$
$673$	−28.5795	−	9.28605i	−1.10166	−	0.357951i	−0.802741	+	0.596328i	$0.796626\pi$
$674$	11.5187	+	15.8541i	0.443683	+	0.610677i
$675$	−1.45985	+	9.52295i	−0.0561896	+	0.366539i
$676$	1.76393	+	5.42882i	0.0678435	+	0.208801i
$677$	12.2047	+	37.5623i	0.469066	+	1.44364i	0.853796	+	0.520608i	$0.174295\pi$
$677$	12.2047	+	37.5623i	0.469066	+	1.44364i	−0.384730	+	0.923029i	$0.625705\pi$
$678$	−55.0477	+	35.8781i	−2.11409	+	1.37789i
$679$	2.82624	+	3.88998i	0.108461	+	0.149284i
$680$	−4.75528	−	1.54508i	−0.182357	−	0.0592513i
$681$	10.2371	+	3.91023i	0.392287	+	0.149840i
$682$	0.364745	+	5.37582i	0.0139668	+	0.205851i
$683$		−	9.00000i		−	0.344375i	−0.985064	−	0.172188i	$-0.944916\pi$
$683$		−	9.00000i		−	0.344375i	0.985064	−	0.172188i	$-0.0550836\pi$
$684$	−10.3820	−	17.8455i	−0.396966	−	0.682338i
$685$	−18.4443	+	13.4005i	−0.704719	+	0.512009i
$686$	−10.9434	+	15.0623i	−0.417821	+	0.575082i
$687$	−2.20557	+	43.4612i	−0.0841478	+	1.65815i
$688$	−7.13525	+	2.31838i	−0.272029	+	0.0883876i
$689$	−12.0862	−	8.78115i	−0.460448	−	0.334535i
$690$	−14.6894	+	3.96209i	−0.559217	+	0.150834i
$691$	10.6180	−	32.6789i	0.403929	−	1.24317i	−0.517857	−	0.855467i	$-0.673270\pi$
$691$	10.6180	−	32.6789i	0.403929	−	1.24317i	0.921786	−	0.387699i	$-0.126730\pi$
$692$	−35.8626			−1.36329
$693$	−5.98809	+	4.04985i	−0.227469	+	0.153841i
$694$	−58.5410			−2.22219
$695$	−1.40008	+	4.30902i	−0.0531082	+	0.163450i
$696$	−4.62209	+	1.24669i	−0.175200	+	0.0472556i
$697$	−6.54508	−	4.75528i	−0.247913	−	0.180119i
$698$	−29.4625	+	9.57295i	−1.11517	+	0.362341i
$699$	0.628492	−	12.3845i	0.0237717	−	0.468427i
$700$	−1.28115	+	1.76336i	−0.0484230	+	0.0666486i
$701$	−14.1271	+	10.2639i	−0.533573	+	0.387663i	−0.821693	−	0.569931i	$-0.806970\pi$
$701$	−14.1271	+	10.2639i	−0.533573	+	0.387663i	0.288120	+	0.957594i	$0.406970\pi$
$702$	4.90769	+	30.0203i	0.185229	+	1.13304i
$703$		−	12.7598i		−	0.481244i
$704$	14.4904	−	5.81966i	0.546126	−	0.219337i
$705$	−31.0344	−	11.8541i	−1.16882	−	0.446451i
$706$	28.2148	+	9.16754i	1.06188	+	0.345025i
$707$	5.33056	+	7.33688i	0.200476	+	0.275932i
$708$	−6.14677	+	4.00624i	−0.231010	+	0.150564i
$709$	5.40983	+	16.6497i	0.203170	+	0.625294i	0.999784	+	0.0208048i	$0.00662286\pi$
$709$	5.40983	+	16.6497i	0.203170	+	0.625294i	−0.796613	+	0.604489i	$0.793377\pi$
$710$	15.8904	+	48.9058i	0.596358	+	1.83540i
$711$	31.3356	−	6.76910i	1.17518	−	0.253861i
$712$	−4.04508	−	5.56758i	−0.151596	−	0.208654i
$713$	1.43284	+	0.465558i	0.0536603	+	0.0174353i
$714$	2.24514	−	5.87785i	0.0840222	−	0.219973i
$715$	17.1353	+	20.5070i	0.640822	+	0.766917i
$716$			6.38197i			0.238505i
$717$	28.0616	−	34.7708i	1.04798	−	1.29854i
$718$	38.4164	−	27.9112i	1.43369	−	1.04164i
$719$	5.95110	−	8.19098i	0.221938	−	0.305472i	−0.683499	−	0.729951i	$-0.739543\pi$
$719$	5.95110	−	8.19098i	0.221938	−	0.305472i	0.905438	+	0.424479i	$0.139543\pi$
$720$	−33.1834	−	14.6428i	−1.23667	−	0.545704i
$721$	4.67376	−	1.51860i	0.174060	−	0.0565555i
$722$	1.40008	+	1.01722i	0.0521057	+	0.0378570i
$723$	8.82995	+	32.7370i	0.328390	+	1.21750i
$724$	6.11803	−	18.8294i	0.227375	−	0.699788i
$725$	−7.05342			−0.261958
$726$	35.2910	+	8.23981i	1.30977	+	0.305808i
$727$	−21.1459			−0.784258			−0.392129	−	0.919910i	$-0.628261\pi$
$727$	−21.1459			−0.784258			−0.392129	+	0.919910i	$0.628261\pi$
$728$	0.502029	−	1.54508i	0.0186064	−	0.0572647i
$729$	−0.268157	−	26.9987i	−0.00993173	−	0.999951i
$730$	61.3050	+	44.5407i	2.26900	+	1.64852i
$731$	4.06150	−	1.31966i	0.150220	−	0.0488094i
$732$	−11.9045	−	0.604130i	−0.440003	−	0.0223293i
$733$	20.2016	−	27.8052i	0.746164	−	1.02701i	−0.252076	−	0.967707i	$-0.581113\pi$
$733$	20.2016	−	27.8052i	0.746164	−	1.02701i	0.998240	−	0.0592994i	$-0.0188867\pi$
$734$	−35.3606	+	25.6910i	−1.30518	+	0.948271i
$735$	−22.8385	−	18.4317i	−0.842410	−	0.679865i
$736$		−	12.9313i		−	0.476653i
$737$	17.7068	+	21.1910i	0.652238	+	0.780580i
$738$	−13.0902	−	11.7082i	−0.481856	−	0.430985i
$739$	−15.4894	−	5.03280i	−0.569785	−	0.185134i	0.00993415	−	0.999951i	$-0.496838\pi$
$739$	−15.4894	−	5.03280i	−0.569785	−	0.185134i	−0.579719	+	0.814816i	$0.696838\pi$
$740$	7.46969	+	10.2812i	0.274591	+	0.377943i
$741$	12.3800	+	18.9946i	0.454790	+	0.697783i
$742$	2.07295	+	6.37988i	0.0761004	+	0.234213i
$743$	12.9188	+	39.7599i	0.473943	+	1.45865i	0.847377	+	0.530991i	$0.178180\pi$
$743$	12.9188	+	39.7599i	0.473943	+	1.45865i	−0.373434	+	0.927657i	$0.621820\pi$
$744$	0.586874	+	0.900441i	0.0215159	+	0.0330118i
$745$	−0.263932	−	0.363271i	−0.00966972	−	0.0133092i
$746$	35.3404	+	11.4828i	1.29390	+	0.420414i
$747$	−32.4014	−	28.9807i	−1.18551	−	1.06035i
$748$	−13.0902	+	5.25731i	−0.478624	+	0.192226i
$749$			0.124612i			0.00455322i
$750$	21.1155	+	17.0412i	0.771028	+	0.622256i
$751$	−4.50000	+	3.26944i	−0.164207	+	0.119304i	−0.666854	−	0.745188i	$-0.732360\pi$
$751$	−4.50000	+	3.26944i	−0.164207	+	0.119304i	0.502647	+	0.864492i	$0.332360\pi$
$752$	19.8864	−	27.3713i	0.725183	−	0.998129i
$753$	8.08479	+	0.410287i	0.294626	+	0.0149517i
$754$	−21.1803	+	6.88191i	−0.771342	+	0.250624i
$755$	−37.2097	−	27.0344i	−1.35420	−	0.983884i
$756$	2.74611	−	5.45637i	0.0998752	−	0.198446i
$757$	−7.69098	+	23.6704i	−0.279534	+	0.860316i	0.708451	+	0.705760i	$0.249394\pi$
$757$	−7.69098	+	23.6704i	−0.279534	+	0.860316i	−0.987984	+	0.154555i	$0.950606\pi$
$758$	62.5577			2.27220
$759$	5.81548	−	8.29808i	0.211089	−	0.301201i
$760$	−8.09017			−0.293461
$761$	−13.6453	+	41.9959i	−0.494642	+	1.52235i	0.322872	+	0.946443i	$0.395352\pi$
$761$	−13.6453	+	41.9959i	−0.494642	+	1.52235i	−0.817514	+	0.575909i	$0.804648\pi$
$762$	−11.3326	−	42.0156i	−0.410538	−	1.52206i
$763$	−4.47214	−	3.24920i	−0.161902	−	0.117629i
$764$	−30.4136	+	9.88197i	−1.10032	+	0.357517i
$765$	18.8885	+	8.33489i	0.682915	+	0.301348i
$766$	−16.1180	+	22.1846i	−0.582368	+	0.801561i
$767$	6.51864	−	4.73607i	0.235374	−	0.171010i
$768$	22.0500	−	27.3218i	0.795659	−	0.985890i
$769$			26.8666i			0.968835i	0.874837	+	0.484417i	$0.160968\pi$
$769$			26.8666i			0.968835i	−0.874837	+	0.484417i	$0.839032\pi$
$770$	−0.812299	−	11.9721i	−0.0292732	−	0.431446i
$771$	−6.96556	+	18.2361i	−0.250858	+	0.656756i
$772$	31.0795	+	10.0984i	1.11858	+	0.363448i
$773$	4.60401	+	6.33688i	0.165595	+	0.227922i	0.883748	−	0.467964i	$-0.155012\pi$
$773$	4.60401	+	6.33688i	0.165595	+	0.227922i	−0.718153	+	0.695885i	$0.755012\pi$
$774$	9.06150	−	1.95746i	0.325709	−	0.0703593i
$775$	0.489357	+	1.50609i	0.0175782	+	0.0541002i
$776$	−1.48584	−	4.57295i	−0.0533386	−	0.164159i
$777$	3.16276	−	2.06137i	0.113463	−	0.0739514i
$778$	−10.7533	−	14.8006i	−0.385524	−	0.530628i
$779$	−12.4495	−	4.04508i	−0.446049	−	0.144930i
$780$	−21.0948	−	8.05748i	−0.755313	−	0.288504i
$781$	−29.0066	−	18.2088i	−1.03794	−	0.651563i
$782$			8.81966i			0.315390i
$783$	19.5084	−	3.18921i	0.697172	−	0.113973i
$784$	24.1803	−	17.5680i	0.863584	−	0.627430i
$785$	5.70634	−	7.85410i	0.203668	−	0.280325i
$786$	0.681559	−	13.4302i	0.0243104	−	0.479041i
$787$	−51.8328	+	16.8415i	−1.84764	+	0.600335i	−0.850396	+	0.526143i	$0.823638\pi$
$787$	−51.8328	+	16.8415i	−1.84764	+	0.600335i	−0.997244	+	0.0741922i	$0.976362\pi$
$788$	−20.7315	−	15.0623i	−0.738529	−	0.536572i
$789$	38.9215	−	10.4981i	1.38564	−	0.373741i
$790$	−16.4443	+	50.6103i	−0.585061	+	1.80063i
$791$	−14.4904			−0.515218
$792$	6.94649	−	2.00122i	0.246833	−	0.0711102i
$793$	13.0902			0.464846
$794$	13.5191	−	41.6074i	0.479774	−	1.47659i
$795$	−21.2518	+	5.73212i	−0.753723	+	0.203297i
$796$	2.92705	+	2.12663i	0.103747	+	0.0753763i
$797$	−20.9888	+	6.81966i	−0.743460	+	0.241565i	−0.656165	−	0.754618i	$-0.727822\pi$
$797$	−20.9888	+	6.81966i	−0.743460	+	0.241565i	−0.0872952	+	0.996182i	$0.527822\pi$
$798$	0.515989	−	10.1677i	0.0182658	−	0.359931i
$799$	−11.3197	+	15.5802i	−0.400461	+	0.551187i
$800$	10.9964	−	7.98936i	0.388782	−	0.282466i
$801$	14.2896	+	24.5622i	0.504898	+	0.867861i
$802$		−	40.2219i		−	1.42028i
$803$	−50.3530	+	3.41641i	−1.77692	+	0.120562i
$804$	−21.7984	−	8.32624i	−0.768769	−	0.293644i
$805$	−3.19098	−	1.03681i	−0.112467	−	0.0365429i
$806$	2.93893	+	4.04508i	0.103519	+	0.142482i
$807$	−33.7168	+	21.9754i	−1.18689	+	0.773571i
$808$	−2.80244	−	8.62502i	−0.0985895	−	0.303427i
$809$	−8.09024	−	24.8992i	−0.284438	−	0.875409i	−0.986567	−	0.163359i	$-0.947767\pi$
$809$	−8.09024	−	24.8992i	−0.284438	−	0.875409i	0.702129	−	0.712050i	$-0.252233\pi$
$810$	38.9612	+	22.1516i	1.36896	+	0.778328i
$811$	−7.60081	−	10.4616i	−0.266901	−	0.367357i	0.654440	−	0.756114i	$-0.272905\pi$
$811$	−7.60081	−	10.4616i	−0.266901	−	0.367357i	−0.921340	+	0.388757i	$0.872905\pi$
$812$	4.25325	+	1.38197i	0.149260	+	0.0484975i
$813$	14.5964	−	38.2138i	0.511917	−	1.34022i
$814$	−18.3541	−	4.61653i	−0.643311	−	0.161809i
$815$			32.4164i			1.13550i
$816$	−13.2049	+	16.3620i	−0.462263	+	0.572783i
$817$	5.59017	−	4.06150i	0.195575	−	0.142094i
$818$	38.2793	−	52.6869i	1.33840	−	1.84215i
$819$	−2.70817	+	6.13725i	−0.0946311	+	0.214453i
$820$	12.3992	−	4.02874i	0.432998	−	0.140690i
$821$	29.9115	+	21.7320i	1.04392	+	0.758452i	0.971047	−	0.238889i	$-0.0767832\pi$
$821$	29.9115	+	21.7320i	1.04392	+	0.758452i	0.0728729	+	0.997341i	$0.476783\pi$
$822$	7.47129	+	27.6998i	0.260591	+	0.966140i
$823$	−4.36475	+	13.4333i	−0.152145	+	0.468256i	−0.997860	−	0.0653792i	$-0.979174\pi$
$823$	−4.36475	+	13.4333i	−0.152145	+	0.468256i	0.845715	+	0.533635i	$0.179174\pi$
$824$	−4.91428			−0.171197
$825$	10.6495	−	0.181492i	0.370767	−	0.00631875i
$826$	−3.61803			−0.125888
$827$	−0.106001	+	0.326238i	−0.00368602	+	0.0113444i	−0.952883	−	0.303339i	$-0.901898\pi$
$827$	−0.106001	+	0.326238i	−0.00368602	+	0.0113444i	0.949197	+	0.314684i	$0.101898\pi$
$828$	−0.866808	+	8.51832i	−0.0301237	+	0.296032i
$829$	−22.8713	−	16.6170i	−0.794354	−	0.577132i	0.114898	−	0.993377i	$-0.463346\pi$
$829$	−22.8713	−	16.6170i	−0.794354	−	0.577132i	−0.909252	+	0.416245i	$0.863346\pi$
$830$	68.6273	−	22.2984i	2.38209	−	0.773988i
$831$	−35.5301	−	1.80309i	−1.23253	−	0.0625483i
$832$	8.51722	−	11.7229i	0.295282	−	0.406420i
$833$	−13.7638	+	10.0000i	−0.476888	+	0.346479i
$834$	4.43688	+	3.58077i	0.153636	+	0.123992i
$835$			0.277515i			0.00960379i
$836$	−17.5150	+	14.6353i	−0.605770	+	0.506171i
$837$	−2.03444	−	3.94427i	−0.0703206	−	0.136334i
$838$	−10.5902	−	3.44095i	−0.365831	−	0.118866i
$839$	−17.4293	−	23.9894i	−0.601726	−	0.828205i	0.394139	−	0.919051i	$-0.371043\pi$
$839$	−17.4293	−	23.9894i	−0.601726	−	0.828205i	−0.995865	+	0.0908462i	$0.971043\pi$
$840$	−1.30699	−	2.00531i	−0.0450954	−	0.0691898i
$841$	−4.48936	−	13.8168i	−0.154805	−	0.476442i
$842$	−15.1967	−	46.7705i	−0.523711	−	1.61182i
$843$	−15.5651	−	23.8815i	−0.536090	−	0.822521i
$844$	−6.44427	−	8.86978i	−0.221821	−	0.305310i
$845$	−8.78402	−	2.85410i	−0.302180	−	0.0981841i
$846$	−27.8707	+	31.1604i	−0.958213	+	1.07131i
$847$	5.52786	+	5.77185i	0.189940	+	0.198323i
$848$		−	22.4164i		−	0.769783i
$849$	10.7175	+	8.64950i	0.367823	+	0.296850i
$850$	−7.50000	+	5.44907i	−0.257248	+	0.186902i
$851$	−3.11044	+	4.28115i	−0.106624	+	0.146756i
$852$	28.9023	+	1.46673i	0.990175	+	0.0502495i
$853$	43.0517	−	13.9883i	1.47406	−	0.478951i	0.541728	−	0.840554i	$-0.317770\pi$
$853$	43.0517	−	13.9883i	1.47406	−	0.478951i	0.932332	+	0.361602i	$0.117770\pi$
$854$	−4.75528	−	3.45492i	−0.162722	−	0.118225i
$855$	33.2339	+	3.38182i	1.13657	+	0.115656i
$856$	0.0385072	−	0.118513i	0.00131615	−	0.00405069i
$857$	24.2380			0.827953			0.413976	−	0.910288i	$-0.364140\pi$
$857$	24.2380			0.827953			0.413976	+	0.910288i	$0.364140\pi$
$858$	31.8016	−	10.9355i	1.08569	−	0.373332i
$859$	34.5279			1.17808			0.589038	−	0.808106i	$-0.299507\pi$
$859$	34.5279			1.17808			0.589038	+	0.808106i	$0.299507\pi$
$860$	−2.12663	+	6.54508i	−0.0725174	+	0.223186i
$861$	−1.00859	−	3.73935i	−0.0343728	−	0.127437i
$862$	34.6976	+	25.2093i	1.18180	+	0.858631i
$863$	37.2097	−	12.0902i	1.26663	−	0.411554i	0.402780	−	0.915297i	$-0.368044\pi$
$863$	37.2097	−	12.0902i	1.26663	−	0.411554i	0.863854	+	0.503743i	$0.168044\pi$
$864$	−26.8015	+	27.0690i	−0.911805	+	0.920907i
$865$	34.1074	−	46.9448i	1.15969	−	1.59617i
$866$	−9.23305	+	6.70820i	−0.313752	+	0.227954i
$867$	−10.9759	+	13.6001i	−0.372762	+	0.461884i
$868$		−	1.00406i		−	0.0340799i
$869$	−13.2088	−	32.8885i	−0.448078	−	1.11567i
$870$	−11.7082	+	30.6525i	−0.396945	+	1.03922i
$871$	24.3713	+	7.91872i	0.825791	+	0.268316i
$872$	3.24920	+	4.47214i	0.110032	+	0.151446i
$873$	4.19217	+	19.4065i	0.141883	+	0.656809i
$874$	4.40983	+	13.5721i	0.149165	+	0.459082i
$875$	1.84911	+	5.69098i	0.0625114	+	0.192390i
$876$	35.7271	−	23.2856i	1.20711	−	0.786749i
$877$	−4.77458	−	6.57164i	−0.161226	−	0.221908i	0.720759	−	0.693185i	$-0.243793\pi$
$877$	−4.77458	−	6.57164i	−0.161226	−	0.221908i	−0.881985	+	0.471277i	$0.843793\pi$
$878$	−45.8550	−	14.8992i	−1.54753	−	0.502823i
$879$	−15.8374	−	6.04937i	−0.534184	−	0.204040i
$880$	−9.78115	+	38.8873i	−0.329723	+	1.31089i
$881$			34.9230i			1.17659i	0.808648	+	0.588293i	$0.200200\pi$
$881$			34.9230i			1.17659i	−0.808648	+	0.588293i	$0.799800\pi$
$882$	−31.9229	+	18.5719i	−1.07490	+	0.625348i
$883$	14.4164	−	10.4741i	0.485151	−	0.352483i	−0.318166	−	0.948035i	$-0.603067\pi$
$883$	14.4164	−	10.4741i	0.485151	−	0.352483i	0.803316	+	0.595552i	$0.203067\pi$
$884$	−7.69421	+	10.5902i	−0.258784	+	0.356186i
$885$	0.601689	−	11.8564i	0.0202256	−	0.398548i
$886$	−18.9443	+	6.15537i	−0.636445	+	0.206794i
$887$	−7.91872	−	5.75329i	−0.265885	−	0.193177i	0.446853	−	0.894608i	$-0.352545\pi$
$887$	−7.91872	−	5.75329i	−0.265885	−	0.193177i	−0.712737	+	0.701431i	$0.752545\pi$
$888$	−3.64497	+	0.983135i	−0.122317	+	0.0329919i
$889$	2.96556	−	9.12705i	0.0994616	−	0.306111i
$890$	−47.1693			−1.58112
$891$	−29.3722	+	5.31713i	−0.984007	+	0.178131i
$892$	10.0902			0.337844
$893$	−9.62908	+	29.6353i	−0.322225	+	0.991706i
$894$	−0.545564	+	0.147152i	−0.0182464	+	0.00492149i
$895$	−8.35410	−	6.06961i	−0.279247	−	0.202885i
$896$	3.94298	−	1.28115i	0.131726	−	0.0428003i
$897$	0.476571	−	9.39092i	0.0159122	−	0.313554i
$898$	8.81966	−	12.1392i	0.294316	−	0.405091i
$899$	2.62866	−	1.90983i	0.0876706	−	0.0636964i
$900$	−7.77929	+	4.52578i	−0.259310	+	0.150859i
$901$			12.7598i			0.425089i
$902$	−10.3229	+	16.4443i	−0.343714	+	0.547534i
$903$	1.90983	+	0.729490i	0.0635552	+	0.0242759i
$904$	13.7812	+	4.47777i	0.458354	+	0.148928i
$905$	18.8294	+	25.9164i	0.625910	+	0.861491i
$906$	−48.4891	+	31.6034i	−1.61094	+	1.04995i
$907$	13.1008	+	40.3202i	0.435005	+	1.33881i	0.893081	+	0.449896i	$0.148539\pi$
$907$	13.1008	+	40.3202i	0.435005	+	1.33881i	−0.458076	+	0.888913i	$0.651461\pi$
$908$	3.16344	+	9.73607i	0.104982	+	0.323103i
$909$	7.90684	+	36.6025i	0.262253	+	1.21403i
$910$	−6.54508	−	9.00854i	−0.216967	−	0.298630i
$911$	54.8963	+	17.8369i	1.81879	+	0.590962i	0.999854	+	0.0170841i	$0.00543829\pi$
$911$	54.8963	+	17.8369i	1.81879	+	0.590962i	0.818941	+	0.573878i	$0.194562\pi$
$912$	−12.1392	+	31.7809i	−0.401970	+	1.05237i
$913$	−25.5517	+	40.7037i	−0.845637	+	1.34709i
$914$			20.5279i			0.679001i
$915$	12.1127	−	15.0086i	0.400432	−	0.496170i
$916$	−32.8885	+	23.8949i	−1.08667	+	0.789511i
$917$	1.74311	−	2.39919i	0.0575626	−	0.0792281i
$918$	18.2797	−	18.4622i	0.603321	−	0.609343i
$919$	29.7599	−	9.66957i	0.981687	−	0.318970i	0.226163	−	0.974090i	$-0.427382\pi$
$919$	29.7599	−	9.66957i	0.981687	−	0.318970i	0.755525	+	0.655120i	$0.227382\pi$
$920$	2.71441	+	1.97214i	0.0894915	+	0.0650194i
$921$	−2.65124	−	9.82946i	−0.0873614	−	0.323892i
$922$	15.7918	−	48.6022i	0.520075	−	1.60063i
$923$	−31.7809			−1.04608
$924$	−6.45724	−	1.97709i	−0.212428	−	0.0650415i
$925$	−5.56231			−0.182887
$926$	0.159002	−	0.489357i	0.00522512	−	0.0160813i
$927$	20.1875	+	2.05425i	0.663046	+	0.0674704i
$928$	−22.5623	−	16.3925i	−0.740644	−	0.538109i
$929$	28.8217	−	9.36475i	0.945610	−	0.307247i	0.204680	−	0.978829i	$-0.434385\pi$
$929$	28.8217	−	9.36475i	0.945610	−	0.307247i	0.740930	+	0.671582i	$0.234385\pi$
$930$	7.35738	+	0.373373i	0.241258	+	0.0122434i
$931$	−16.1803	+	22.2703i	−0.530289	+	0.729880i
$932$	9.37181	−	6.80902i	0.306984	−	0.223037i
$933$	6.73929	+	5.43893i	0.220635	+	0.178062i
$934$		−	44.9897i		−	1.47211i
$935$	5.56758	−	22.1353i	0.182079	−	0.723900i
$936$	4.47214	−	5.00000i	0.146176	−	0.163430i
$937$	−36.0172	−	11.7027i	−1.17663	−	0.382311i	−0.345517	−	0.938412i	$-0.612296\pi$
$937$	−36.0172	−	11.7027i	−1.17663	−	0.382311i	−0.831114	+	0.556102i	$0.812296\pi$
$938$	−6.76340	−	9.30902i	−0.220833	−	0.303950i
$939$	−10.4032	−	15.9616i	−0.339496	−	0.520888i
$940$	−9.59017	−	29.5155i	−0.312797	−	0.962690i
$941$	−14.9596	−	46.0410i	−0.487670	−	1.50089i	−0.828076	−	0.560616i	$-0.810564\pi$
$941$	−14.9596	−	46.0410i	−0.487670	−	1.50089i	0.340406	−	0.940279i	$-0.389436\pi$
$942$	−6.67074	−	10.2349i	−0.217345	−	0.333472i
$943$	3.19098	+	4.39201i	0.103913	+	0.143024i
$944$	11.4984	+	3.73607i	0.374242	+	0.121599i
$945$	4.53077	+	8.78402i	0.147386	+	0.285744i
$946$	−3.81966	−	9.51057i	−0.124188	−	0.309215i
$947$		−	23.8541i		−	0.775154i	−0.921837	−	0.387577i	$-0.873312\pi$
$947$		−	23.8541i		−	0.775154i	0.921837	−	0.387577i	$-0.126688\pi$
$948$	23.3052	+	18.8084i	0.756917	+	0.610868i
$949$	−37.8885	+	27.5276i	−1.22991	+	0.893585i
$950$	−8.81678	+	12.1353i	−0.286054	+	0.393720i
$951$	0.408356	+	0.0207233i	0.0132419	+	0.000671999i
$952$	−1.31966	+	0.428784i	−0.0427704	+	0.0138970i
$953$	−36.0341	−	26.1803i	−1.16726	−	0.848064i	−0.176582	−	0.984286i	$-0.556504\pi$
$953$	−36.0341	−	26.1803i	−1.16726	−	0.848064i	−0.990678	+	0.136222i	$0.956504\pi$
$954$	−2.80413	+	27.5568i	−0.0907872	+	0.892186i
$955$	15.9894	−	49.2102i	0.517403	−	1.59240i
$956$	41.7405			1.34998
$957$	−7.10632	−	20.6659i	−0.229715	−	0.668035i
$958$	43.5410			1.40675
$959$	−1.95511	+	6.01722i	−0.0631339	+	0.194306i
$960$	−5.55983	−	20.6130i	−0.179443	−	0.665282i
$961$	24.4894	+	17.7926i	0.789979	+	0.573954i
$962$	−16.7027	+	5.42705i	−0.538518	+	0.174975i
$963$	−0.207725	+	0.470746i	−0.00669385	+	0.0151696i
$964$	−18.6180	+	25.6255i	−0.599646	+	0.825343i
$965$	−42.7773	+	31.0795i	−1.37705	+	1.00049i
$966$	−2.65169	+	3.28567i	−0.0853167	+	0.105715i
$967$			20.9232i			0.672846i	0.941711	+	0.336423i	$0.109217\pi$
$967$			20.9232i			0.672846i	−0.941711	+	0.336423i	$0.890783\pi$
$968$	−3.47371	−	7.19756i	−0.111649	−	0.231338i
$969$	6.90983	−	18.0902i	0.221976	−	0.581140i
$970$	−31.3435	−	10.1841i	−1.00638	−	0.326992i
$971$	−8.33499	−	11.4721i	−0.267483	−	0.368158i	0.654055	−	0.756447i	$-0.273066\pi$
$971$	−8.33499	−	11.4721i	−0.267483	−	0.368158i	−0.921538	+	0.388288i	$0.873066\pi$
$972$	19.4696	−	16.0348i	0.624489	−	0.514317i
$973$	0.388544	+	1.19581i	0.0124561	+	0.0383361i
$974$	4.39201	+	13.5172i	0.140729	+	0.433120i
$975$	8.28022	−	5.39675i	0.265179	−	0.172834i
$976$	11.5451	+	15.8904i	0.369549	+	0.508641i
$977$	49.4019	+	16.0517i	1.58051	+	0.513538i	0.962188	−	0.272388i	$-0.0878134\pi$
$977$	49.4019	+	16.0517i	1.58051	+	0.513538i	0.618320	+	0.785926i	$0.287813\pi$
$978$	38.1078	+	14.5559i	1.21855	+	0.465446i
$979$	24.1074	−	20.1437i	0.770476	−	0.643795i
$980$		−	27.4164i		−	0.875785i
$981$	−11.4781	−	19.7294i	−0.366466	−	0.629913i
$982$	−41.0795	+	29.8460i	−1.31090	+	0.952425i
$983$	3.11817	−	4.29180i	0.0994543	−	0.136887i	−0.756389	−	0.654122i	$-0.773038\pi$
$983$	3.11817	−	4.29180i	0.0994543	−	0.136887i	0.855844	+	0.517234i	$0.173038\pi$
$984$	−0.196294	+	3.86801i	−0.00625762	+	0.123308i
$985$	39.4336	−	12.8128i	1.25646	−	0.408249i
$986$	15.3884	+	11.1803i	0.490067	+	0.356055i
$987$	−8.90130	+	2.40089i	−0.283331	+	0.0764213i
$988$	−6.54508	+	20.1437i	−0.208227	+	0.640856i
$989$	−2.86568			−0.0911234
$990$	16.8887	−	46.5812i	0.536757	−	1.48045i
$991$	7.56231			0.240225			0.120112	−	0.992760i	$-0.461675\pi$
$991$	7.56231			0.240225			0.120112	+	0.992760i	$0.461675\pi$
$992$	−1.93487	+	5.95492i	−0.0614322	+	0.189069i
$993$	38.2762	−	10.3240i	1.21466	−	0.327623i
$994$	11.5451	+	8.38800i	0.366188	+	0.266051i
$995$	−5.56758	+	1.80902i	−0.176504	+	0.0573497i
$996$	2.05820	−	40.5573i	0.0652167	−	1.28511i
$997$	−24.0066	+	33.0422i	−0.760296	+	1.04646i	0.236893	+	0.971536i	$0.423871\pi$
$997$	−24.0066	+	33.0422i	−0.760296	+	1.04646i	−0.997189	+	0.0749220i	$0.976129\pi$
$998$	16.8945	−	12.2746i	0.534786	−	0.388545i
$999$	15.3842	−	2.51500i	0.486736	−	0.0795711i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	33.2.f.a.2.1	✓	8
3.2	odd	2	inner	33.2.f.a.2.2	yes	8
4.3	odd	2		528.2.bn.c.497.2		8
5.2	odd	4		825.2.bs.a.299.2		8
5.3	odd	4		825.2.bs.d.299.1		8
5.4	even	2		825.2.bi.b.101.2		8
9.2	odd	6		891.2.u.a.134.1		16
9.4	even	3		891.2.u.a.431.1		16
9.5	odd	6		891.2.u.a.431.2		16
9.7	even	3		891.2.u.a.134.2		16
11.2	odd	10		363.2.f.e.239.1		8
11.3	even	5		363.2.f.e.161.2		8
11.4	even	5		363.2.d.f.362.2		8
11.5	even	5		363.2.f.b.215.1		8
11.6	odd	10	inner	33.2.f.a.17.2	yes	8
11.7	odd	10		363.2.d.f.362.8		8
11.8	odd	10		363.2.f.d.161.1		8
11.9	even	5		363.2.f.d.239.2		8
11.10	odd	2		363.2.f.b.233.2		8
12.11	even	2		528.2.bn.c.497.1		8
15.2	even	4		825.2.bs.d.299.2		8
15.8	even	4		825.2.bs.a.299.1		8
15.14	odd	2		825.2.bi.b.101.1		8
33.2	even	10		363.2.f.e.239.2		8
33.5	odd	10		363.2.f.b.215.2		8
33.8	even	10		363.2.f.d.161.2		8
33.14	odd	10		363.2.f.e.161.1		8
33.17	even	10	inner	33.2.f.a.17.1	yes	8
33.20	odd	10		363.2.f.d.239.1		8
33.26	odd	10		363.2.d.f.362.7		8
33.29	even	10		363.2.d.f.362.1		8
33.32	even	2		363.2.f.b.233.1		8
44.39	even	10		528.2.bn.c.17.1		8
55.17	even	20		825.2.bs.a.149.1		8
55.28	even	20		825.2.bs.d.149.2		8
55.39	odd	10		825.2.bi.b.776.1		8
99.50	even	30		891.2.u.a.512.2		16
99.61	odd	30		891.2.u.a.215.2		16
99.83	even	30		891.2.u.a.215.1		16
99.94	odd	30		891.2.u.a.512.1		16
132.83	odd	10		528.2.bn.c.17.2		8
165.17	odd	20		825.2.bs.d.149.1		8
165.83	odd	20		825.2.bs.a.149.2		8
165.149	even	10		825.2.bi.b.776.2		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
33.2.f.a.2.1	✓	8	1.1	even	1	trivial
33.2.f.a.2.2	yes	8	3.2	odd	2	inner
33.2.f.a.17.1	yes	8	33.17	even	10	inner
33.2.f.a.17.2	yes	8	11.6	odd	10	inner
363.2.d.f.362.1		8	33.29	even	10
363.2.d.f.362.2		8	11.4	even	5
363.2.d.f.362.7		8	33.26	odd	10
363.2.d.f.362.8		8	11.7	odd	10
363.2.f.b.215.1		8	11.5	even	5
363.2.f.b.215.2		8	33.5	odd	10
363.2.f.b.233.1		8	33.32	even	2
363.2.f.b.233.2		8	11.10	odd	2
363.2.f.d.161.1		8	11.8	odd	10
363.2.f.d.161.2		8	33.8	even	10
363.2.f.d.239.1		8	33.20	odd	10
363.2.f.d.239.2		8	11.9	even	5
363.2.f.e.161.1		8	33.14	odd	10
363.2.f.e.161.2		8	11.3	even	5
363.2.f.e.239.1		8	11.2	odd	10
363.2.f.e.239.2		8	33.2	even	10
528.2.bn.c.17.1		8	44.39	even	10
528.2.bn.c.17.2		8	132.83	odd	10
528.2.bn.c.497.1		8	12.11	even	2
528.2.bn.c.497.2		8	4.3	odd	2
825.2.bi.b.101.1		8	15.14	odd	2
825.2.bi.b.101.2		8	5.4	even	2
825.2.bi.b.776.1		8	55.39	odd	10
825.2.bi.b.776.2		8	165.149	even	10
825.2.bs.a.149.1		8	55.17	even	20
825.2.bs.a.149.2		8	165.83	odd	20
825.2.bs.a.299.1		8	15.8	even	4
825.2.bs.a.299.2		8	5.2	odd	4
825.2.bs.d.149.1		8	165.17	odd	20
825.2.bs.d.149.2		8	55.28	even	20
825.2.bs.d.299.1		8	5.3	odd	4
825.2.bs.d.299.2		8	15.2	even	4
891.2.u.a.134.1		16	9.2	odd	6
891.2.u.a.134.2		16	9.7	even	3
891.2.u.a.215.1		16	99.83	even	30
891.2.u.a.215.2		16	99.61	odd	30
891.2.u.a.431.1		16	9.4	even	3
891.2.u.a.431.2		16	9.5	odd	6
891.2.u.a.512.1		16	99.94	odd	30
891.2.u.a.512.2		16	99.50	even	30

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:	\( N \)	\(=\)	\( 33 = 3 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	33.f (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587785 + 1.80902i) q^{2} +(-1.67229 + 0.451057i) q^{3} +(-1.30902 - 0.951057i) q^{4} +(2.48990 - 0.809017i) q^{5} +(0.166977 - 3.29032i) q^{6} +(0.427051 - 0.587785i) q^{7} +(-0.587785 + 0.427051i) q^{8} +(2.59310 - 1.50859i) q^{9} +O(q^{10})\)	\(q+(-0.587785 + 1.80902i) q^{2} +(-1.67229 + 0.451057i) q^{3} +(-1.30902 - 0.951057i) q^{4} +(2.48990 - 0.809017i) q^{5} +(0.166977 - 3.29032i) q^{6} +(0.427051 - 0.587785i) q^{7} +(-0.587785 + 0.427051i) q^{8} +(2.59310 - 1.50859i) q^{9} +4.97980i q^{10} +(-2.12663 - 2.54508i) q^{11} +(2.61803 + 1.00000i) q^{12} +(-2.92705 - 0.951057i) q^{13} +(0.812299 + 1.11803i) q^{14} +(-3.79892 + 2.47599i) q^{15} +(-1.42705 - 4.39201i) q^{16} +(0.812299 + 2.50000i) q^{17} +(1.20489 + 5.57768i) q^{18} +(2.50000 + 3.44095i) q^{19} +(-4.02874 - 1.30902i) q^{20} +(-0.449028 + 1.17557i) q^{21} +(5.85410 - 2.35114i) q^{22} -1.76393i q^{23} +(0.790322 - 0.979277i) q^{24} +(1.50000 - 1.08981i) q^{25} +(3.44095 - 4.73607i) q^{26} +(-3.65594 + 3.69244i) q^{27} +(-1.11803 + 0.363271i) q^{28} +(-3.07768 - 2.23607i) q^{29} +(-2.24617 - 8.32766i) q^{30} +(-0.263932 + 0.812299i) q^{31} +7.33094 q^{32} +(4.70431 + 3.29689i) q^{33} -5.00000 q^{34} +(0.587785 - 1.80902i) q^{35} +(-4.82916 - 0.491407i) q^{36} +(-2.42705 - 1.76336i) q^{37} +(-7.69421 + 2.50000i) q^{38} +(5.32385 + 0.270175i) q^{39} +(-1.11803 + 1.53884i) q^{40} +(-2.48990 + 1.80902i) q^{41} +(-1.86269 - 1.50328i) q^{42} -1.62460i q^{43} +(0.363271 + 5.35410i) q^{44} +(5.23607 - 5.85410i) q^{45} +(3.19098 + 1.03681i) q^{46} +(4.30625 + 5.92705i) q^{47} +(4.36749 + 6.70103i) q^{48} +(2.00000 + 6.15537i) q^{49} +(1.08981 + 3.35410i) q^{50} +(-2.48604 - 3.81433i) q^{51} +(2.92705 + 4.02874i) q^{52} +(4.61653 + 1.50000i) q^{53} +(-4.53077 - 8.78402i) q^{54} +(-7.35410 - 4.61653i) q^{55} +0.527864i q^{56} +(-5.73279 - 4.62663i) q^{57} +(5.85410 - 4.25325i) q^{58} +(-1.53884 + 2.11803i) q^{59} +(7.32766 + 0.371864i) q^{60} +(-4.04508 + 1.31433i) q^{61} +(-1.31433 - 0.954915i) q^{62} +(0.220655 - 2.16843i) q^{63} +(-1.45492 + 4.47777i) q^{64} -8.05748 q^{65} +(-8.72925 + 6.57232i) q^{66} -8.32624 q^{67} +(1.31433 - 4.04508i) q^{68} +(0.795633 + 2.94980i) q^{69} +(2.92705 + 2.12663i) q^{70} +(9.82084 - 3.19098i) q^{71} +(-0.879937 + 1.99411i) q^{72} +(8.94427 - 12.3107i) q^{73} +(4.61653 - 3.35410i) q^{74} +(-2.01686 + 2.49907i) q^{75} -6.88191i q^{76} +(-2.40414 + 0.163119i) q^{77} +(-3.61803 + 9.47214i) q^{78} +(10.1631 + 3.30220i) q^{79} +(-7.10642 - 9.78115i) q^{80} +(4.44829 - 7.82385i) q^{81} +(-1.80902 - 5.56758i) q^{82} +(-4.47777 - 13.7812i) q^{83} +(1.70582 - 1.11179i) q^{84} +(4.04508 + 5.56758i) q^{85} +(2.93893 + 0.954915i) q^{86} +(6.15537 + 2.35114i) q^{87} +(2.33688 + 0.587785i) q^{88} +9.47214i q^{89} +(7.51249 + 12.9131i) q^{90} +(-1.80902 + 1.31433i) q^{91} +(-1.67760 + 2.30902i) q^{92} +(0.0749776 - 1.47745i) q^{93} +(-13.2533 + 4.30625i) q^{94} +(9.00854 + 6.54508i) q^{95} +(-12.2594 + 3.30667i) q^{96} +(-2.04508 + 6.29412i) q^{97} -12.3107 q^{98} +(-9.35405 - 3.39144i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 6 q^{3} - 6 q^{4} - 10 q^{7} + 10 q^{9}+O(q^{10}) \) 8 * q - 6 * q^3 - 6 * q^4 - 10 * q^7 + 10 * q^9	\( 8 q - 6 q^{3} - 6 q^{4} - 10 q^{7} + 10 q^{9} + 12 q^{12} - 10 q^{13} - 6 q^{15} + 2 q^{16} + 20 q^{19} + 20 q^{22} - 10 q^{24} + 12 q^{25} - 12 q^{27} - 20 q^{30} - 20 q^{31} - 4 q^{33} - 40 q^{34} - 10 q^{36} - 6 q^{37} + 20 q^{39} + 20 q^{42} + 24 q^{45} + 30 q^{46} + 26 q^{48} + 16 q^{49} + 30 q^{51} + 10 q^{52} - 32 q^{55} - 30 q^{57} + 20 q^{58} + 2 q^{60} - 10 q^{61} - 30 q^{63} - 34 q^{64} - 30 q^{66} - 4 q^{67} - 16 q^{69} + 10 q^{70} - 20 q^{72} + 6 q^{75} - 20 q^{78} + 50 q^{79} - 2 q^{81} - 10 q^{82} + 10 q^{85} + 50 q^{88} + 40 q^{90} - 10 q^{91} + 10 q^{93} - 30 q^{94} + 10 q^{96} + 6 q^{97} + 16 q^{99}+O(q^{100}) \) 8 * q - 6 * q^3 - 6 * q^4 - 10 * q^7 + 10 * q^9 + 12 * q^12 - 10 * q^13 - 6 * q^15 + 2 * q^16 + 20 * q^19 + 20 * q^22 - 10 * q^24 + 12 * q^25 - 12 * q^27 - 20 * q^30 - 20 * q^31 - 4 * q^33 - 40 * q^34 - 10 * q^36 - 6 * q^37 + 20 * q^39 + 20 * q^42 + 24 * q^45 + 30 * q^46 + 26 * q^48 + 16 * q^49 + 30 * q^51 + 10 * q^52 - 32 * q^55 - 30 * q^57 + 20 * q^58 + 2 * q^60 - 10 * q^61 - 30 * q^63 - 34 * q^64 - 30 * q^66 - 4 * q^67 - 16 * q^69 + 10 * q^70 - 20 * q^72 + 6 * q^75 - 20 * q^78 + 50 * q^79 - 2 * q^81 - 10 * q^82 + 10 * q^85 + 50 * q^88 + 40 * q^90 - 10 * q^91 + 10 * q^93 - 30 * q^94 + 10 * q^96 + 6 * q^97 + 16 * q^99

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