LMFDB - Embedded newform 91.2.ba.a.54.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(45,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 5]))

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

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

chi := DirichletCharacter("91.45");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.ba (of order $12$, 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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			54.2
Character	$\chi$	$=$	91.54
Dual form			91.2.ba.a.59.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.42500 + 1.42500i) q^{2} +(1.25027 + 0.721843i) q^{3} -2.06123i q^{4} +(3.16920 - 0.849184i) q^{5} +(-2.81025 + 0.753004i) q^{6} +(-0.111396 + 2.64341i) q^{7} +(0.0872533 + 0.0872533i) q^{8} +(-0.457887 - 0.793083i) q^{9} +O(q^{10})$	\(q+(-1.42500 + 1.42500i) q^{2} +(1.25027 + 0.721843i) q^{3} -2.06123i q^{4} +(3.16920 - 0.849184i) q^{5} +(-2.81025 + 0.753004i) q^{6} +(-0.111396 + 2.64341i) q^{7} +(0.0872533 + 0.0872533i) q^{8} +(-0.457887 - 0.793083i) q^{9} +(-3.30601 + 5.72618i) q^{10} +(-5.74323 + 1.53889i) q^{11} +(1.48788 - 2.57709i) q^{12} +(2.81021 - 2.25892i) q^{13} +(-3.60810 - 3.92558i) q^{14} +(4.57532 + 1.22595i) q^{15} +3.87379 q^{16} -0.628578 q^{17} +(1.78263 + 0.477654i) q^{18} +(-0.191033 + 0.712944i) q^{19} +(-1.75036 - 6.53244i) q^{20} +(-2.04740 + 3.22455i) q^{21} +(5.99117 - 10.3770i) q^{22} -4.54665i q^{23} +(0.0461069 + 0.172073i) q^{24} +(4.99256 - 2.88246i) q^{25} +(-0.785596 + 7.22349i) q^{26} -5.65314i q^{27} +(5.44867 + 0.229614i) q^{28} +(-1.33622 - 2.31439i) q^{29} +(-8.26680 + 4.77284i) q^{30} +(-0.285936 + 1.06713i) q^{31} +(-5.69464 + 5.69464i) q^{32} +(-8.29142 - 2.22168i) q^{33} +(0.895721 - 0.895721i) q^{34} +(1.89170 + 8.47207i) q^{35} +(-1.63473 + 0.943810i) q^{36} +(1.79007 + 1.79007i) q^{37} +(-0.743721 - 1.28816i) q^{38} +(5.14410 - 0.795719i) q^{39} +(0.350617 + 0.202429i) q^{40} +(-0.746755 + 2.78693i) q^{41} +(-1.67744 - 7.51251i) q^{42} +(3.49297 + 2.01667i) q^{43} +(3.17202 + 11.8381i) q^{44} +(-2.12461 - 2.12461i) q^{45} +(6.47896 + 6.47896i) q^{46} +(-1.90459 - 7.10802i) q^{47} +(4.84328 + 2.79627i) q^{48} +(-6.97518 - 0.588931i) q^{49} +(-3.00689 + 11.2219i) q^{50} +(-0.785891 - 0.453734i) q^{51} +(-4.65615 - 5.79250i) q^{52} +(3.89042 + 6.73840i) q^{53} +(8.05571 + 8.05571i) q^{54} +(-16.8946 + 9.75412i) q^{55} +(-0.240366 + 0.220926i) q^{56} +(-0.753475 + 0.753475i) q^{57} +(5.20211 + 1.39390i) q^{58} +(0.673419 - 0.673419i) q^{59} +(2.52697 - 9.43079i) q^{60} +(-0.943178 + 0.544544i) q^{61} +(-1.11320 - 1.92811i) q^{62} +(2.14745 - 1.12203i) q^{63} -8.48212i q^{64} +(6.98788 - 9.54534i) q^{65} +(14.9811 - 8.64936i) q^{66} +(-1.39678 - 5.21286i) q^{67} +1.29564i q^{68} +(3.28197 - 5.68453i) q^{69} +(-14.7683 - 9.37700i) q^{70} +(0.590023 + 2.20200i) q^{71} +(0.0292470 - 0.109151i) q^{72} +(-5.94515 - 1.59300i) q^{73} -5.10168 q^{74} +8.32273 q^{75} +(1.46954 + 0.393762i) q^{76} +(-3.42815 - 15.3531i) q^{77} +(-6.19643 + 8.46422i) q^{78} +(-6.08299 + 10.5361i) q^{79} +(12.2768 - 3.28956i) q^{80} +(2.70702 - 4.68870i) q^{81} +(-2.90724 - 5.03549i) q^{82} +(3.59152 + 3.59152i) q^{83} +(6.64655 + 4.22016i) q^{84} +(-1.99209 + 0.533778i) q^{85} +(-7.85121 + 2.10373i) q^{86} -3.85815i q^{87} +(-0.635390 - 0.366843i) q^{88} +(-2.88817 + 2.88817i) q^{89} +6.05511 q^{90} +(5.65818 + 7.68017i) q^{91} -9.37170 q^{92} +(-1.12779 + 1.12779i) q^{93} +(12.8429 + 7.41487i) q^{94} +2.42168i q^{95} +(-11.2305 + 3.00919i) q^{96} +(8.41780 - 2.25554i) q^{97} +(10.7788 - 9.10038i) q^{98} +(3.85022 + 3.85022i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.42500	+	1.42500i	−1.00762	+	1.00762i	−0.00765404	+	0.999971i	$0.502436\pi$
$2$	−1.42500	+	1.42500i	−1.00762	+	1.00762i	−0.999971	+	0.00765404i	$0.997564\pi$
$3$	1.25027	+	0.721843i	0.721843	+	0.416756i	0.815430	−	0.578855i	$-0.196500\pi$
$3$	1.25027	+	0.721843i	0.721843	+	0.416756i	−0.0935879	+	0.995611i	$0.529834\pi$
$4$		−	2.06123i		−	1.03062i
$5$	3.16920	−	0.849184i	1.41731	−	0.379766i	0.532780	−	0.846254i	$-0.321147\pi$
$5$	3.16920	−	0.849184i	1.41731	−	0.379766i	0.884528	+	0.466487i	$0.154481\pi$
$6$	−2.81025	+	0.753004i	−1.14728	+	0.307413i
$7$	−0.111396	+	2.64341i	−0.0421039	+	0.999113i
$7$	−0.111396	+	2.64341i	−0.0421039	+	0.999113i
$8$	0.0872533	+	0.0872533i	0.0308487	+	0.0308487i
$9$	−0.457887	−	0.793083i	−0.152629	−	0.264361i
$10$	−3.30601	+	5.72618i	−1.04545	+	1.81078i
$11$	−5.74323	+	1.53889i	−1.73165	+	0.463994i	−0.980562	−	0.196208i	$-0.937137\pi$
$11$	−5.74323	+	1.53889i	−1.73165	+	0.463994i	−0.751088	+	0.660202i	$0.770471\pi$
$12$	1.48788	−	2.57709i	0.429515	−	0.743942i
$13$	2.81021	−	2.25892i	0.779413	−	0.626511i
$13$	2.81021	−	2.25892i	0.779413	−	0.626511i
$14$	−3.60810	−	3.92558i	−0.964306	−	1.04916i
$15$	4.57532	+	1.22595i	1.18134	+	0.316540i
$16$	3.87379			0.968447
$17$	−0.628578			−0.152452			−0.0762262	−	0.997091i	$-0.524287\pi$
$17$	−0.628578			−0.152452			−0.0762262	+	0.997091i	$0.524287\pi$
$18$	1.78263	+	0.477654i	0.420169	+	0.112584i
$19$	−0.191033	+	0.712944i	−0.0438259	+	0.163561i	−0.984371	−	0.176109i	$-0.943649\pi$
$19$	−0.191033	+	0.712944i	−0.0438259	+	0.163561i	0.940545	+	0.339670i	$0.110315\pi$
$20$	−1.75036	−	6.53244i	−0.391393	−	1.46070i
$21$	−2.04740	+	3.22455i	−0.446779	+	0.703655i
$22$	5.99117	−	10.3770i	1.27732	−	2.21239i
$23$		−	4.54665i		−	0.948043i	−0.880513	−	0.474021i	$-0.842802\pi$
$23$		−	4.54665i		−	0.948043i	0.880513	−	0.474021i	$-0.157198\pi$
$24$	0.0461069	+	0.172073i	0.00941153	+	0.0351243i
$25$	4.99256	−	2.88246i	0.998513	−	0.576492i
$26$	−0.785596	+	7.22349i	−0.154068	+	1.41664i
$27$		−	5.65314i		−	1.08795i
$28$	5.44867	+	0.229614i	1.02970	+	0.0433929i
$29$	−1.33622	−	2.31439i	−0.248129	−	0.429772i	0.714878	−	0.699250i	$-0.246482\pi$
$29$	−1.33622	−	2.31439i	−0.248129	−	0.429772i	−0.963007	+	0.269477i	$0.913149\pi$
$30$	−8.26680	+	4.77284i	−1.50930	+	0.871397i
$31$	−0.285936	+	1.06713i	−0.0513556	+	0.191662i	−0.986838	−	0.161711i	$-0.948299\pi$
$31$	−0.285936	+	1.06713i	−0.0513556	+	0.191662i	0.935482	+	0.353373i	$0.114965\pi$
$32$	−5.69464	+	5.69464i	−1.00668	+	1.00668i
$33$	−8.29142	−	2.22168i	−1.44335	−	0.386745i
$34$	0.895721	−	0.895721i	0.153615	−	0.153615i
$35$	1.89170	+	8.47207i	0.319756	+	1.43204i
$36$	−1.63473	+	0.943810i	−0.272454	+	0.157302i
$37$	1.79007	+	1.79007i	0.294285	+	0.294285i	0.838770	−	0.544485i	$-0.183275\pi$
$37$	1.79007	+	1.79007i	0.294285	+	0.294285i	−0.544485	+	0.838770i	$0.683275\pi$
$38$	−0.743721	−	1.28816i	−0.120648	−	0.208968i
$39$	5.14410	−	0.795719i	0.823715	−	0.127417i
$40$	0.350617	+	0.202429i	0.0554374	+	0.0320068i
$41$	−0.746755	+	2.78693i	−0.116624	+	0.435245i	−0.999403	−	0.0345422i	$-0.989003\pi$
$41$	−0.746755	+	2.78693i	−0.116624	+	0.435245i	0.882780	+	0.469787i	$0.155669\pi$
$42$	−1.67744	−	7.51251i	−0.258835	−	1.15921i
$43$	3.49297	+	2.01667i	0.532673	+	0.307539i	0.742104	−	0.670285i	$-0.233828\pi$
$43$	3.49297	+	2.01667i	0.532673	+	0.307539i	−0.209431	+	0.977823i	$0.567161\pi$
$44$	3.17202	+	11.8381i	0.478200	+	1.78467i
$45$	−2.12461	−	2.12461i	−0.316718	−	0.316718i
$46$	6.47896	+	6.47896i	0.955271	+	0.955271i
$47$	−1.90459	−	7.10802i	−0.277813	−	1.03681i	−0.953933	−	0.300020i	$-0.903007\pi$
$47$	−1.90459	−	7.10802i	−0.277813	−	1.03681i	0.676120	−	0.736791i	$-0.263660\pi$
$48$	4.84328	+	2.79627i	0.699067	+	0.403606i
$49$	−6.97518	−	0.588931i	−0.996455	−	0.0841331i
$50$	−3.00689	+	11.2219i	−0.425239	+	1.58701i
$51$	−0.785891	−	0.453734i	−0.110047	−	0.0635355i
$52$	−4.65615	−	5.79250i	−0.645691	−	0.803275i
$53$	3.89042	+	6.73840i	0.534390	+	0.925590i	0.999193	+	0.0401759i	$0.0127918\pi$
$53$	3.89042	+	6.73840i	0.534390	+	0.925590i	−0.464803	+	0.885414i	$0.653875\pi$
$54$	8.05571	+	8.05571i	1.09624	+	1.09624i
$55$	−16.8946	+	9.75412i	−2.27807	+	1.31525i
$56$	−0.240366	+	0.220926i	−0.0321202	+	0.0295225i
$57$	−0.753475	+	0.753475i	−0.0998002	+	0.0998002i
$58$	5.20211	+	1.39390i	0.683070	+	0.183028i
$59$	0.673419	−	0.673419i	0.0876717	−	0.0876717i	−0.661911	−	0.749583i	$-0.730254\pi$
$59$	0.673419	−	0.673419i	0.0876717	−	0.0876717i	0.749583	+	0.661911i	$0.230254\pi$
$60$	2.52697	−	9.43079i	0.326231	−	1.21751i
$61$	−0.943178	+	0.544544i	−0.120762	+	0.0697217i	−0.559164	−	0.829057i	$-0.688878\pi$
$61$	−0.943178	+	0.544544i	−0.120762	+	0.0697217i	0.438402	+	0.898779i	$0.355544\pi$
$62$	−1.11320	−	1.92811i	−0.141376	−	0.244870i
$63$	2.14745	−	1.12203i	0.270553	−	0.141363i
$64$		−	8.48212i		−	1.06026i
$65$	6.98788	−	9.54534i	0.866740	−	1.18395i
$66$	14.9811	−	8.64936i	1.84405	−	1.06466i
$67$	−1.39678	−	5.21286i	−0.170644	−	0.636852i	−0.997253	−	0.0740750i	$-0.976400\pi$
$67$	−1.39678	−	5.21286i	−0.170644	−	0.636852i	0.826609	−	0.562777i	$-0.190267\pi$
$68$			1.29564i			0.157120i
$69$	3.28197	−	5.68453i	0.395102	−	0.684338i
$70$	−14.7683	−	9.37700i	−1.76515	−	1.12077i
$71$	0.590023	+	2.20200i	0.0700229	+	0.261329i	0.992059	−	0.125776i	$-0.0401419\pi$
$71$	0.590023	+	2.20200i	0.0700229	+	0.261329i	−0.922036	+	0.387105i	$0.873475\pi$
$72$	0.0292470	−	0.109151i	0.00344679	−	0.0128636i
$73$	−5.94515	−	1.59300i	−0.695827	−	0.186446i	−0.106466	−	0.994316i	$-0.533954\pi$
$73$	−5.94515	−	1.59300i	−0.695827	−	0.186446i	−0.589361	+	0.807870i	$0.700620\pi$
$74$	−5.10168			−0.593058
$75$	8.32273			0.961026
$76$	1.46954	+	0.393762i	0.168568	+	0.0451677i
$77$	−3.42815	−	15.3531i	−0.390674	−	1.74965i
$78$	−6.19643	+	8.46422i	−0.701608	+	0.958385i
$79$	−6.08299	+	10.5361i	−0.684390	+	1.18540i	0.289238	+	0.957257i	$0.406598\pi$
$79$	−6.08299	+	10.5361i	−0.684390	+	1.18540i	−0.973628	+	0.228141i	$0.926735\pi$
$80$	12.2768	−	3.28956i	1.37259	−	0.367784i
$81$	2.70702	−	4.68870i	0.300780	−	0.520966i
$82$	−2.90724	−	5.03549i	−0.321051	−	0.556076i
$83$	3.59152	+	3.59152i	0.394220	+	0.394220i	0.876189	−	0.481968i	$-0.160078\pi$
$83$	3.59152	+	3.59152i	0.394220	+	0.394220i	−0.481968	+	0.876189i	$0.660078\pi$
$84$	6.64655	+	4.22016i	0.725198	+	0.460457i
$85$	−1.99209	+	0.533778i	−0.216072	+	0.0578963i
$86$	−7.85121	+	2.10373i	−0.846618	+	0.226851i
$87$		−	3.85815i		−	0.413637i
$88$	−0.635390	−	0.366843i	−0.0677328	−	0.0391055i
$89$	−2.88817	+	2.88817i	−0.306146	+	0.306146i	−0.843412	−	0.537267i	$-0.819457\pi$
$89$	−2.88817	+	2.88817i	−0.306146	+	0.306146i	0.537267	+	0.843412i	$0.319457\pi$
$90$	6.05511			0.638265
$91$	5.65818	+	7.68017i	0.593139	+	0.805100i
$92$	−9.37170			−0.977067
$93$	−1.12779	+	1.12779i	−0.116947	+	0.116947i
$94$	12.8429	+	7.41487i	1.32465	+	0.764786i
$95$			2.42168i			0.248459i
$96$	−11.2305	+	3.00919i	−1.14620	+	0.307125i
$97$	8.41780	−	2.25554i	0.854698	−	0.229016i	0.195239	−	0.980756i	$-0.437452\pi$
$97$	8.41780	−	2.25554i	0.854698	−	0.229016i	0.659460	+	0.751740i	$0.270785\pi$
$98$	10.7788	−	9.10038i	1.08883	−	0.919278i
$99$	3.85022	+	3.85022i	0.386962	+	0.386962i
$100$	−5.94141	−	10.2908i	−0.594141	−	1.02908i
$101$	−8.58758	+	14.8741i	−0.854496	+	1.48003i	0.0226160	+	0.999744i	$0.492800\pi$
$101$	−8.58758	+	14.8741i	−0.854496	+	1.48003i	−0.877112	+	0.480286i	$0.840533\pi$
$102$	1.76646	−	0.473322i	0.174906	−	0.0468658i
$103$	−7.19481	+	12.4618i	−0.708926	+	1.22790i	0.256330	+	0.966589i	$0.417487\pi$
$103$	−7.19481	+	12.4618i	−0.708926	+	1.22790i	−0.965256	+	0.261306i	$0.915847\pi$
$104$	0.442298	+	0.0481025i	0.0433709	+	0.00471684i
$105$	−3.75037	+	11.9579i	−0.365998	+	1.16697i
$106$	−15.1460	−	4.05836i	−1.47111	−	0.394183i
$107$	3.12072			0.301691			0.150846	−	0.988557i	$-0.451800\pi$
$107$	3.12072			0.301691			0.150846	+	0.988557i	$0.451800\pi$
$108$	−11.6524			−1.12126
$109$	−9.17711	−	2.45900i	−0.879008	−	0.235529i	−0.209029	−	0.977909i	$-0.567030\pi$
$109$	−9.17711	−	2.45900i	−0.879008	−	0.235529i	−0.669979	+	0.742380i	$0.733697\pi$
$110$	10.1752	−	37.9744i	0.970168	−	3.62071i
$111$	0.945917	+	3.53021i	0.0897825	+	0.335073i
$112$	−0.431526	+	10.2400i	−0.0407754	+	0.967589i
$113$	1.34080	−	2.32234i	0.126132	−	0.218467i	−0.796043	−	0.605240i	$-0.793077\pi$
$113$	1.34080	−	2.32234i	0.126132	−	0.218467i	0.922175	+	0.386773i	$0.126410\pi$
$114$		−	2.14740i		−	0.201122i
$115$	−3.86094	−	14.4092i	−0.360035	−	1.34367i
$116$	−4.77050	+	2.75425i	−0.442930	+	0.255726i
$117$	−3.07827	−	1.19440i	−0.284586	−	0.110423i
$118$			1.91924i			0.176680i
$119$	0.0700213	−	1.66159i	0.00641884	−	0.152317i
$120$	0.292243	+	0.506181i	0.0266781	+	0.0462077i
$121$	21.0903	−	12.1765i	1.91730	−	1.10695i
$122$	0.568052	−	2.12000i	0.0514290	−	0.191936i
$123$	−2.94537	+	2.94537i	−0.265575	+	0.265575i
$124$	2.19960	+	0.589380i	0.197530	+	0.0529279i
$125$	1.77462	−	1.77462i	0.158727	−	0.158727i
$126$	−1.46121	+	4.65900i	−0.130175	+	0.415056i
$127$	−4.93218	+	2.84760i	−0.437661	+	0.252683i	−0.702605	−	0.711580i	$-0.747980\pi$
$127$	−4.93218	+	2.84760i	−0.437661	+	0.252683i	0.264944	+	0.964264i	$0.414646\pi$
$128$	0.697699	+	0.697699i	0.0616685	+	0.0616685i
$129$	2.91143	+	5.04275i	0.256337	+	0.443989i
$130$	3.64436	+	23.5598i	0.319632	+	2.06633i
$131$	15.1645	+	8.75520i	1.32492	+	0.764946i	0.984510	−	0.175329i	$-0.0560991\pi$
$131$	15.1645	+	8.75520i	1.32492	+	0.764946i	0.340415	+	0.940275i	$0.389432\pi$
$132$	−4.57939	+	17.0905i	−0.398585	+	1.48754i
$133$	−1.86332	−	0.584396i	−0.161570	−	0.0506736i
$134$	9.41872	+	5.43790i	0.813653	+	0.469763i
$135$	−4.80056	−	17.9159i	−0.413166	−	1.54196i
$136$	−0.0548455	−	0.0548455i	−0.00470296	−	0.00470296i
$137$	10.3658	+	10.3658i	0.885611	+	0.885611i	0.994098	−	0.108487i	$-0.0346005\pi$
$137$	10.3658	+	10.3658i	0.885611	+	0.885611i	−0.108487	+	0.994098i	$0.534600\pi$
$138$	3.42365	+	12.7772i	0.291440	+	1.08767i
$139$	3.10457	+	1.79243i	0.263327	+	0.152032i	0.625851	−	0.779943i	$-0.284752\pi$
$139$	3.10457	+	1.79243i	0.263327	+	0.152032i	−0.362525	+	0.931974i	$0.618085\pi$
$140$	17.4629	−	3.89923i	1.47588	−	0.329545i
$141$	2.74963	−	10.2617i	0.231560	−	0.864195i
$142$	−3.97862	−	2.29706i	−0.333878	−	0.192765i
$143$	−12.6635	+	17.2981i	−1.05897	+	1.44654i
$144$	−1.77376	−	3.07224i	−0.147813	−	0.256020i
$145$	−6.20008	−	6.20008i	−0.514888	−	0.514888i
$146$	10.7418	−	6.20180i	0.889001	−	0.513265i
$147$	−8.29573	−	5.77131i	−0.684220	−	0.476009i
$148$	3.68974	−	3.68974i	0.303295	−	0.303295i
$149$	−13.8632	−	3.71462i	−1.13571	−	0.304314i	−0.358487	−	0.933535i	$-0.616707\pi$
$149$	−13.8632	−	3.71462i	−1.13571	−	0.304314i	−0.777226	+	0.629221i	$0.783374\pi$
$150$	−11.8599	+	11.8599i	−0.968353	+	0.968353i
$151$	6.15509	−	22.9711i	0.500894	−	1.86936i	0.00676075	−	0.999977i	$-0.497848\pi$
$151$	6.15509	−	22.9711i	0.500894	−	1.86936i	0.494134	−	0.869386i	$-0.335485\pi$
$152$	−0.0788749	+	0.0455385i	−0.00639760	+	0.00369366i
$153$	0.287817	+	0.498514i	0.0232687	+	0.0403025i
$154$	26.7632	+	16.9930i	2.15664	+	1.36934i
$155$			3.62475i			0.291147i
$156$	−1.64016	−	10.6032i	−0.131318	−	0.848934i
$157$	6.58929	−	3.80433i	0.525882	−	0.303618i	−0.213456	−	0.976953i	$-0.568472\pi$
$157$	6.58929	−	3.80433i	0.525882	−	0.303618i	0.739338	+	0.673334i	$0.235139\pi$
$158$	−6.34560	−	23.6821i	−0.504829	−	1.88405i
$159$			11.2331i			0.890840i
$160$	−13.2116	+	22.8832i	−1.04447	+	1.80908i
$161$	12.0186	+	0.506481i	0.947202	+	0.0399163i
$162$	2.82388	+	10.5389i	0.221865	+	0.828012i
$163$	−0.665670	+	2.48431i	−0.0521393	+	0.194586i	−0.987083	−	0.160210i	$-0.948783\pi$
$163$	−0.665670	+	2.48431i	−0.0521393	+	0.194586i	0.934944	+	0.354796i	$0.115450\pi$
$164$	5.74450	+	1.53923i	0.448570	+	0.120194i
$165$	−28.1638			−2.19255
$166$	−10.2358			−0.794452
$167$	3.28638	+	0.880582i	0.254308	+	0.0681415i	0.383720	−	0.923449i	$-0.374643\pi$
$167$	3.28638	+	0.880582i	0.254308	+	0.0681415i	−0.129413	+	0.991591i	$0.541309\pi$
$168$	−0.459995	+	0.102711i	−0.0354894	+	0.00792431i
$169$	2.79460	−	12.6961i	0.214969	−	0.976621i
$170$	2.07808	−	3.59935i	0.159382	−	0.276057i
$171$	0.652895	−	0.174943i	0.0499281	−	0.0133782i
$172$	4.15682	−	7.19982i	0.316954	−	0.548981i
$173$	−7.02517	−	12.1680i	−0.534114	−	0.925113i	−0.999206	−	0.0398501i	$-0.987312\pi$
$173$	−7.02517	−	12.1680i	−0.534114	−	0.925113i	0.465092	−	0.885263i	$-0.346021\pi$
$174$	5.49785	+	5.49785i	0.416791	+	0.416791i
$175$	7.06335	+	13.5185i	0.533939	+	1.02190i
$176$	−22.2481	+	5.96136i	−1.67701	+	0.449354i
$177$	1.32806	−	0.355852i	0.0998228	−	0.0267474i
$178$		−	8.23128i		−	0.616960i
$179$	−12.9578	−	7.48119i	−0.968512	−	0.559170i	−0.0697295	−	0.997566i	$-0.522214\pi$
$179$	−12.9578	−	7.48119i	−0.968512	−	0.559170i	−0.898782	+	0.438395i	$0.855547\pi$
$180$	−4.37930	+	4.37930i	−0.326414	+	0.326414i
$181$	−15.4409			−1.14772			−0.573858	−	0.818955i	$-0.694554\pi$
$181$	−15.4409			−1.14772			−0.573858	+	0.818955i	$0.694554\pi$
$182$	−19.0071	−	2.88132i	−1.40890	−	0.213578i
$183$	−1.57230			−0.116228
$184$	0.396711	−	0.396711i	0.0292459	−	0.0292459i
$185$	7.19317	+	4.15298i	0.528852	+	0.305333i
$186$		−	3.21421i		−	0.235677i
$187$	3.61007	−	0.967315i	0.263994	−	0.0707371i
$188$	−14.6513	+	3.92580i	−1.06855	+	0.286318i
$189$	14.9435	+	0.629740i	1.08698	+	0.0458068i
$190$	−3.45089	−	3.45089i	−0.250354	−	0.250354i
$191$	8.57746	+	14.8566i	0.620643	+	1.07499i	0.989366	+	0.145446i	$0.0464617\pi$
$191$	8.57746	+	14.8566i	0.620643	+	1.07499i	−0.368723	+	0.929539i	$0.620205\pi$
$192$	6.12275	−	10.6049i	0.441872	−	0.765344i
$193$	5.92369	−	1.58725i	0.426396	−	0.114253i	−0.0392377	−	0.999230i	$-0.512493\pi$
$193$	5.92369	−	1.58725i	0.426396	−	0.114253i	0.465634	+	0.884977i	$0.345826\pi$
$194$	−8.78120	+	15.2095i	−0.630453	+	1.09198i
$195$	15.6270	−	6.89008i	1.11907	−	0.493409i
$196$	−1.21392	+	14.3775i	−0.0867088	+	1.02696i
$197$	24.7906	+	6.64263i	1.76626	+	0.473268i	0.987971	−	0.154640i	$-0.0494219\pi$
$197$	24.7906	+	6.64263i	1.76626	+	0.473268i	0.778288	+	0.627908i	$0.216089\pi$
$198$	−10.9731			−0.779825
$199$	8.72738			0.618667			0.309334	−	0.950954i	$-0.399894\pi$
$199$	8.72738			0.618667			0.309334	+	0.950954i	$0.399894\pi$
$200$	0.687122	+	0.184114i	0.0485869	+	0.0130188i
$201$	2.01651	−	7.52573i	0.142234	−	0.530824i
$202$	−8.95830	−	33.4328i	−0.630304	−	2.35233i
$203$	6.26673	−	3.27435i	0.439838	−	0.229814i
$204$	−0.935251	+	1.61990i	−0.0654806	+	0.113416i
$205$			9.46645i			0.661166i
$206$	−7.50541	−	28.0106i	−0.522927	−	1.95159i
$207$	−3.60587	+	2.08185i	−0.250625	+	0.144699i
$208$	10.8862	−	8.75057i	0.754820	−	0.606743i
$209$		−	4.38858i		−	0.303565i
$210$	−11.6957	−	22.3842i	−0.807077	−	1.54465i
$211$	−5.41370	−	9.37680i	−0.372694	−	0.645525i	0.617285	−	0.786740i	$-0.288233\pi$
$211$	−5.41370	−	9.37680i	−0.372694	−	0.645525i	−0.989979	+	0.141214i	$0.954899\pi$
$212$	13.8894	−	8.01904i	0.953927	−	0.550750i
$213$	−0.851808	+	3.17899i	−0.0583649	+	0.217821i
$214$	−4.44701	+	4.44701i	−0.303991	+	0.303991i
$215$	12.7824	+	3.42504i	0.871754	+	0.233586i
$216$	0.493256	−	0.493256i	0.0335618	−	0.0335618i
$217$	−2.78900	−	0.874719i	−0.189330	−	0.0593798i
$218$	16.5814	−	9.57329i	1.12304	−	0.648385i
$219$	−6.28314	−	6.28314i	−0.424575	−	0.424575i
$220$	20.1055	+	34.8237i	1.35551	+	2.34782i
$221$	−1.76644	+	1.41990i	−0.118823	+	0.0955131i
$222$	−6.37847	−	3.68261i	−0.428095	−	0.247161i
$223$	2.01754	−	7.52957i	0.135105	−	0.504217i	−0.864893	−	0.501957i	$-0.832614\pi$
$223$	2.01754	−	7.52957i	0.135105	−	0.504217i	0.999997	−	0.00226068i	$-0.000719598\pi$
$224$	−14.4189	−	15.6876i	−0.963402	−	1.04817i
$225$	−4.57206	−	2.63968i	−0.304804	−	0.175979i
$226$	1.39869	+	5.21997i	0.0930392	+	0.347227i
$227$	−10.0802	−	10.0802i	−0.669045	−	0.669045i	0.288450	−	0.957495i	$-0.406860\pi$
$227$	−10.0802	−	10.0802i	−0.669045	−	0.669045i	−0.957495	+	0.288450i	$0.906860\pi$
$228$	1.55309	+	1.55309i	0.102856	+	0.102856i
$229$	2.95351	+	11.0227i	0.195174	+	0.728398i	0.992222	+	0.124482i	$0.0397269\pi$
$229$	2.95351	+	11.0227i	0.195174	+	0.728398i	−0.797048	+	0.603916i	$0.793606\pi$
$230$	26.0349	+	15.0313i	1.71669	+	0.991133i
$231$	6.79643	−	21.6701i	0.447172	−	1.42579i
$232$	0.0853493	−	0.318528i	0.00560346	−	0.0209124i
$233$	18.9544	+	10.9433i	1.24175	+	0.716922i	0.969450	−	0.245291i	$-0.0788835\pi$
$233$	18.9544	+	10.9433i	1.24175	+	0.716922i	0.272297	+	0.962213i	$0.412217\pi$
$234$	6.08854	−	2.68450i	0.398020	−	0.175491i
$235$	−12.0720	−	20.9094i	−0.787492	−	1.36398i
$236$	−1.38807	−	1.38807i	−0.0903557	−	0.0903557i
$237$	−15.2107	+	8.78193i	−0.988044	+	0.570448i
$238$	2.26797	+	2.46753i	0.147011	+	0.159946i
$239$	3.79044	−	3.79044i	0.245183	−	0.245183i	−0.573807	−	0.818990i	$-0.694534\pi$
$239$	3.79044	−	3.79044i	0.245183	−	0.245183i	0.818990	+	0.573807i	$0.194534\pi$
$240$	17.7238	+	4.74909i	1.14407	+	0.306552i
$241$	−11.0392	+	11.0392i	−0.711097	+	0.711097i	−0.966765	−	0.255668i	$-0.917705\pi$
$241$	−11.0392	+	11.0392i	−0.711097	+	0.711097i	0.255668	+	0.966765i	$0.417705\pi$
$242$	−12.7021	+	47.4050i	−0.816523	+	3.04731i
$243$	−7.91830	+	4.57163i	−0.507959	+	0.293270i
$244$	1.12243	+	1.94411i	0.0718563	+	0.124459i
$245$	−22.6058	+	4.05677i	−1.44423	+	0.259178i
$246$		−	8.39427i		−	0.535199i
$247$	1.07364	+	2.43505i	0.0683139	+	0.154939i
$248$	−0.118059	+	0.0681616i	−0.00749677	+	0.00432826i
$249$	1.89785	+	7.08287i	0.120271	+	0.448858i
$250$			5.05765i			0.319874i
$251$	−2.30694	+	3.99573i	−0.145612	+	0.252208i	−0.929601	−	0.368567i	$-0.879849\pi$
$251$	−2.30694	+	3.99573i	−0.145612	+	0.252208i	0.783989	+	0.620775i	$0.213182\pi$
$252$	−2.31277	−	4.42638i	−0.145691	−	0.278836i
$253$	6.99682	+	26.1125i	0.439886	+	1.64168i
$254$	2.97053	−	11.0862i	0.186388	−	0.695608i
$255$	−2.87595	−	0.770607i	−0.180099	−	0.0482573i
$256$	14.9758			0.935987
$257$	15.6656			0.977191			0.488596	−	0.872510i	$-0.337509\pi$
$257$	15.6656			0.977191			0.488596	+	0.872510i	$0.337509\pi$
$258$	−11.3347	−	3.03712i	−0.705666	−	0.189083i
$259$	−4.93128	+	4.53247i	−0.306415	+	0.281634i
$260$	−19.6751	−	14.4036i	−1.22020	−	0.893276i
$261$	−1.22367	+	2.11946i	−0.0757434	+	0.131191i
$262$	−34.0854	+	9.13317i	−2.10581	+	0.564249i
$263$	11.9554	−	20.7074i	0.737203	−	1.27687i	−0.216547	−	0.976272i	$-0.569479\pi$
$263$	11.9554	−	20.7074i	0.737203	−	1.27687i	0.953750	−	0.300601i	$-0.0971872\pi$
$264$	−0.529605	−	0.917303i	−0.0325949	−	0.0564561i
$265$	18.0516	+	18.0516i	1.10890	+	1.10890i
$266$	3.48799	−	1.82246i	0.213862	−	0.111742i
$267$	−5.69580	+	1.52618i	−0.348577	+	0.0934010i
$268$	−10.7449	+	2.87909i	−0.656350	+	0.175868i
$269$		−	13.5339i		−	0.825177i	−0.910918	−	0.412588i	$-0.864625\pi$
$269$		−	13.5339i		−	0.825177i	0.910918	−	0.412588i	$-0.135375\pi$
$270$	32.3709	+	18.6893i	1.97003	+	1.13740i
$271$	15.3119	−	15.3119i	0.930129	−	0.930129i	−0.0675846	−	0.997714i	$-0.521529\pi$
$271$	15.3119	−	15.3119i	0.930129	−	0.930129i	0.997714	+	0.0675846i	$0.0215292\pi$
$272$	−2.43498			−0.147642
$273$	1.53037	+	13.6866i	0.0926224	+	0.828350i
$274$	−29.5425			−1.78473
$275$	−24.2377	+	24.2377i	−1.46159	+	1.46159i
$276$	−11.7171	−	6.76489i	−0.705289	−	0.407199i
$277$			21.4166i			1.28680i	0.765531	+	0.643399i	$0.222476\pi$
$277$			21.4166i			1.28680i	−0.765531	+	0.643399i	$0.777524\pi$
$278$	−6.97821	+	1.86981i	−0.418525	+	0.112143i
$279$	0.977247	−	0.261853i	0.0585063	−	0.0156767i
$280$	−0.574159	+	0.904273i	−0.0343126	+	0.0540406i
$281$	0.874765	+	0.874765i	0.0521841	+	0.0521841i	0.732717	−	0.680533i	$-0.238252\pi$
$281$	0.874765	+	0.874765i	0.0521841	+	0.0521841i	−0.680533	+	0.732717i	$0.738252\pi$
$282$	10.7047	+	18.5412i	0.637458	+	1.10411i
$283$	9.23061	−	15.9879i	0.548703	−	0.950381i	−0.449661	−	0.893199i	$-0.648455\pi$
$283$	9.23061	−	15.9879i	0.548703	−	0.950381i	0.998364	−	0.0571816i	$-0.0182114\pi$
$284$	4.53882	−	1.21617i	0.269330	−	0.0721667i
$285$	−1.74807	+	3.02775i	−0.103547	+	0.179348i
$286$	−6.60433	−	42.6952i	−0.390522	−	2.52462i
$287$	−7.28379	−	2.28443i	−0.429949	−	0.134846i
$288$	7.12383	+	1.90882i	0.419775	+	0.112479i
$289$	−16.6049			−0.976758
$290$	17.6702			1.03763
$291$	12.1527	+	3.25629i	0.712401	+	0.190887i
$292$	−3.28354	+	12.2543i	−0.192154	+	0.717130i
$293$	−3.21602	−	12.0024i	−0.187882	−	0.701186i	−0.993995	−	0.109424i	$-0.965099\pi$
$293$	−3.21602	−	12.0024i	−0.187882	−	0.701186i	0.806113	−	0.591762i	$-0.201567\pi$
$294$	20.0455	−	3.59730i	1.16908	−	0.209799i
$295$	1.56234	−	2.70605i	0.0909629	−	0.157552i
$296$			0.312379i			0.0181566i
$297$	8.69959	+	32.4673i	0.504802	+	1.88395i
$298$	25.0483	−	14.4616i	1.45101	−	0.837739i
$299$	−10.2705	−	12.7771i	−0.593959	−	0.738917i
$300$		−	17.1551i		−	0.990448i
$301$	−5.71997	+	9.00869i	−0.329694	+	0.519252i
$302$	23.9628	+	41.5048i	1.37890	+	2.38833i
$303$	−21.4735	+	12.3978i	−1.23362	+	0.712233i
$304$	−0.740021	+	2.76179i	−0.0424431	+	0.158400i
$305$	−2.52670	+	2.52670i	−0.144678	+	0.144678i
$306$	−1.12052	−	0.300242i	−0.0640559	−	0.0171637i
$307$	3.51390	−	3.51390i	0.200549	−	0.200549i	−0.599686	−	0.800235i	$-0.704708\pi$
$307$	3.51390	−	3.51390i	0.200549	−	0.200549i	0.800235	+	0.599686i	$0.204708\pi$
$308$	−31.6463	+	7.06620i	−1.80322	+	0.402634i
$309$	−17.9909	+	10.3870i	−1.02347	+	0.590898i
$310$	−5.16526	−	5.16526i	−0.293367	−	0.293367i
$311$	−9.18303	−	15.9055i	−0.520722	−	0.901916i	−0.999710	−	0.0240949i	$-0.992330\pi$
$311$	−9.18303	−	15.9055i	−0.520722	−	0.901916i	0.478988	−	0.877821i	$-0.341004\pi$
$312$	0.518269	+	0.379411i	0.0293412	+	0.0214799i
$313$	7.78607	+	4.49529i	0.440095	+	0.254089i	0.703638	−	0.710559i	$-0.251558\pi$
$313$	7.78607	+	4.49529i	0.440095	+	0.254089i	−0.263543	+	0.964648i	$0.584891\pi$
$314$	−3.96856	+	14.8109i	−0.223959	+	0.835825i
$315$	5.85287	−	5.37952i	0.329772	−	0.303102i
$316$	21.7172	+	12.5385i	1.22169	+	0.705343i
$317$	3.72880	+	13.9161i	0.209430	+	0.781605i	0.988053	+	0.154113i	$0.0492519\pi$
$317$	3.72880	+	13.9161i	0.209430	+	0.781605i	−0.778623	+	0.627492i	$0.784081\pi$
$318$	−16.0071	−	16.0071i	−0.897633	−	0.897633i
$319$	11.2358	+	11.2358i	0.629085	+	0.629085i
$320$	−7.20287	−	26.8815i	−0.402653	−	1.50272i
$321$	3.90173	+	2.25267i	0.217773	+	0.125732i
$322$	−17.8483	+	16.4048i	−0.994645	+	0.914203i
$323$	0.120079	−	0.448141i	0.00668137	−	0.0249352i
$324$	−9.66448	−	5.57979i	−0.536916	−	0.309988i
$325$	7.51894	−	19.3781i	0.417076	−	1.07490i
$326$	−2.59156	−	4.48871i	−0.143533	−	0.248607i
$327$	−9.69884	−	9.69884i	−0.536347	−	0.536347i
$328$	−0.308326	+	0.178012i	−0.0170244	+	0.00982906i
$329$	19.0015	−	4.24279i	1.04759	−	0.233913i
$330$	40.1333	−	40.1333i	2.20926	−	2.20926i
$331$	−7.90514	−	2.11818i	−0.434506	−	0.116426i	0.0349345	−	0.999390i	$-0.488878\pi$
$331$	−7.90514	−	2.11818i	−0.434506	−	0.116426i	−0.469441	+	0.882964i	$0.655544\pi$
$332$	7.40294	−	7.40294i	0.406289	−	0.406289i
$333$	0.600024	−	2.23932i	0.0328811	−	0.122714i
$334$	−5.93790	+	3.42825i	−0.324908	+	0.187586i
$335$	−8.85335	−	15.3345i	−0.483710	−	0.837811i
$336$	−7.93119	+	12.4912i	−0.432682	+	0.681453i
$337$		−	1.63832i		−	0.0892447i	−0.999004	−	0.0446224i	$-0.985792\pi$
$337$		−	1.63832i		−	0.0892447i	0.999004	−	0.0446224i	$-0.0142085\pi$
$338$	14.1096	+	22.0741i	0.767459	+	1.20068i
$339$	3.35273	−	1.93570i	0.182095	−	0.105133i
$340$	1.10024	+	4.10615i	0.0596688	+	0.222687i
$341$		−	6.56879i		−	0.355720i
$342$	−0.681080	+	1.17967i	−0.0368286	+	0.0637890i
$343$	2.33379	−	18.3726i	0.126013	−	0.992029i
$344$	0.128812	+	0.480734i	0.00694510	+	0.0259194i
$345$	5.57399	−	20.8024i	0.300093	−	1.11996i
$346$	27.3501	+	7.32845i	1.47035	+	0.393980i
$347$	−9.63134			−0.517037			−0.258519	−	0.966006i	$-0.583234\pi$
$347$	−9.63134			−0.517037			−0.258519	+	0.966006i	$0.583234\pi$
$348$	−7.95254			−0.426301
$349$	−28.4665	−	7.62758i	−1.52378	−	0.408295i	−0.602794	−	0.797897i	$-0.705946\pi$
$349$	−28.4665	−	7.62758i	−1.52378	−	0.408295i	−0.920983	+	0.389602i	$0.872613\pi$
$350$	−29.3290	−	9.19852i	−1.56770	−	0.491681i
$351$	−12.7700	−	15.8865i	−0.681611	−	0.847961i
$352$	23.9422	−	41.4691i	1.27612	−	2.21031i
$353$	15.4405	−	4.13727i	0.821814	−	0.220205i	0.176675	−	0.984269i	$-0.443466\pi$
$353$	15.4405	−	4.13727i	0.821814	−	0.220205i	0.645140	+	0.764065i	$0.276799\pi$
$354$	−1.38539	+	2.39956i	−0.0736326	+	0.127535i
$355$	3.73980	+	6.47752i	0.198488	+	0.343791i
$356$	5.95319	+	5.95319i	0.315519	+	0.315519i
$357$	1.28695	−	2.02688i	0.0681125	−	0.107274i
$358$	29.1255	−	7.80415i	1.53933	−	0.412462i
$359$	5.55095	−	1.48737i	0.292968	−	0.0785005i	−0.109342	−	0.994004i	$-0.534874\pi$
$359$	5.55095	−	1.48737i	0.292968	−	0.0785005i	0.402309	+	0.915504i	$0.368208\pi$
$360$		−	0.370758i		−	0.0195407i
$361$	15.9827	+	9.22761i	0.841194	+	0.485664i
$362$	22.0033	−	22.0033i	1.15647	−	1.15647i
$363$	35.1580			1.84531
$364$	15.8306	−	11.6628i	0.829749	−	0.611298i
$365$	−20.1941			−1.05701
$366$	2.24052	−	2.24052i	0.117114	−	0.117114i
$367$	22.0499	+	12.7305i	1.15099	+	0.664527i	0.949129	−	0.314887i	$-0.101966\pi$
$367$	22.0499	+	12.7305i	1.15099	+	0.664527i	0.201865	+	0.979413i	$0.435300\pi$
$368$		−	17.6128i		−	0.918129i
$369$	2.55219	−	0.683858i	0.132862	−	0.0356002i
$370$	−16.1682	+	4.33226i	−0.840546	+	0.225224i
$371$	−18.2457	+	9.53331i	−0.947269	+	0.494945i
$372$	2.32465	+	2.32465i	0.120527	+	0.120527i
$373$	−9.35778	−	16.2082i	−0.484528	−	0.839227i	0.515314	−	0.857001i	$-0.327675\pi$
$373$	−9.35778	−	16.2082i	−0.484528	−	0.839227i	−0.999842	+	0.0177746i	$0.994342\pi$
$374$	−3.76592	+	6.52276i	−0.194731	+	0.337284i
$375$	3.49974	−	0.937753i	0.180726	−	0.0484254i
$376$	0.454017	−	0.786380i	0.0234141	−	0.0405545i
$377$	−8.98308	−	3.48554i	−0.462652	−	0.179515i
$378$	−22.1919	+	20.3971i	−1.14143	+	1.04912i
$379$	−20.5112	−	5.49596i	−1.05359	−	0.282309i	−0.309856	−	0.950784i	$-0.600281\pi$
$379$	−20.5112	−	5.49596i	−1.05359	−	0.282309i	−0.743735	+	0.668475i	$0.766947\pi$
$380$	4.99164			0.256066
$381$	−8.22207			−0.421229
$382$	−33.3934	−	8.94774i	−1.70856	−	0.457806i
$383$	−8.39979	+	31.3484i	−0.429209	+	1.60183i	0.325347	+	0.945595i	$0.394519\pi$
$383$	−8.39979	+	31.3484i	−0.429209	+	1.60183i	−0.754556	+	0.656236i	$0.772148\pi$
$384$	0.368682	+	1.37594i	0.0188142	+	0.0702157i
$385$	−23.9021	−	45.7459i	−1.21816	−	2.33143i
$386$	−6.17941	+	10.7031i	−0.314524	+	0.544771i
$387$		−	3.69362i		−	0.187757i
$388$	−4.64919	−	17.3510i	−0.236027	−	0.880865i
$389$	6.03084	−	3.48191i	0.305776	−	0.176540i	−0.339259	−	0.940693i	$-0.610176\pi$
$389$	6.03084	−	3.48191i	0.305776	−	0.176540i	0.645035	+	0.764153i	$0.276843\pi$
$390$	−12.4500	+	32.0867i	−0.630431	+	1.62477i
$391$			2.85792i			0.144531i
$392$	−0.557222	−	0.659994i	−0.0281439	−	0.0333347i
$393$	12.6398	+	21.8927i	0.637591	+	1.10434i
$394$	−44.7923	+	25.8608i	−2.25660	+	1.30285i
$395$	−10.3312	+	38.5564i	−0.519817	+	1.93998i
$396$	7.93619	−	7.93619i	0.398809	−	0.398809i
$397$	−14.4310	−	3.86677i	−0.724270	−	0.194068i	−0.122194	−	0.992506i	$-0.538993\pi$
$397$	−14.4310	−	3.86677i	−0.724270	−	0.194068i	−0.602076	+	0.798439i	$0.705660\pi$
$398$	−12.4365	+	12.4365i	−0.623384	+	0.623384i
$399$	−1.90781	−	2.07567i	−0.0955098	−	0.103914i
$400$	19.3401	−	11.1660i	0.967007	−	0.558302i
$401$	17.0943	+	17.0943i	0.853649	+	0.853649i	0.990581	−	0.136932i	$-0.0437241\pi$
$401$	17.0943	+	17.0943i	0.853649	+	0.853649i	−0.136932	+	0.990581i	$0.543724\pi$
$402$	7.85061	+	13.5977i	0.391553	+	0.678190i
$403$	1.60701	+	3.64476i	0.0800509	+	0.181559i
$404$	30.6590	+	17.7010i	1.52534	+	0.880657i
$405$	4.59751	−	17.1582i	0.228452	−	0.852595i
$406$	−4.26414	+	13.5960i	−0.211626	+	0.674758i
$407$	−13.0355	−	7.52605i	−0.646146	−	0.373052i
$408$	−0.0289818	−	0.108161i	−0.00143481	−	0.00535479i
$409$	−26.5396	−	26.5396i	−1.31230	−	1.31230i	−0.919718	−	0.392580i	$-0.871583\pi$
$409$	−26.5396	−	26.5396i	−1.31230	−	1.31230i	−0.392580	−	0.919718i	$-0.628417\pi$
$410$	−13.4897	−	13.4897i	−0.666207	−	0.666207i
$411$	5.47756	+	20.4425i	0.270188	+	1.00836i
$412$	25.6866	+	14.8302i	1.26549	+	0.730630i
$413$	1.70510	+	1.85513i	0.0839026	+	0.0912852i
$414$	2.17172	−	8.10499i	0.106734	−	0.398338i
$415$	14.4321	+	8.33236i	0.708443	+	0.409020i
$416$	−3.13944	+	28.8669i	−0.153924	+	1.41532i
$417$	2.58770	+	4.48203i	0.126720	+	0.219486i
$418$	6.25371	+	6.25371i	0.305879	+	0.305879i
$419$	7.05130	−	4.07107i	0.344478	−	0.198885i	−0.317772	−	0.948167i	$-0.602935\pi$
$419$	7.05130	−	4.07107i	0.344478	−	0.198885i	0.662251	+	0.749282i	$0.269601\pi$
$420$	24.6479	+	7.73037i	1.20269	+	0.377203i
$421$	2.46118	−	2.46118i	0.119951	−	0.119951i	−0.644583	−	0.764534i	$-0.722969\pi$
$421$	2.46118	−	2.46118i	0.119951	−	0.119951i	0.764534	+	0.644583i	$0.222969\pi$
$422$	21.0764	+	5.64740i	1.02598	+	0.274911i
$423$	−4.76516	+	4.76516i	−0.231690	+	0.231690i
$424$	−0.248496	+	0.927399i	−0.0120680	+	0.0450385i
$425$	−3.13822	+	1.81185i	−0.152226	+	0.0878876i
$426$	−3.31623	−	5.74387i	−0.160672	−	0.278292i
$427$	−1.33438	−	2.55386i	−0.0645754	−	0.123590i
$428$		−	6.43252i		−	0.310927i
$429$	−28.3192	+	12.4862i	−1.36727	+	0.602841i
$430$	−23.0956	+	13.3342i	−1.11377	+	0.643034i
$431$	−3.96452	−	14.7958i	−0.190964	−	0.712688i	−0.993275	−	0.115781i	$-0.963063\pi$
$431$	−3.96452	−	14.7958i	−0.190964	−	0.712688i	0.802310	−	0.596907i	$-0.203604\pi$
$432$		−	21.8991i		−	1.05362i
$433$	−6.16396	+	10.6763i	−0.296221	+	0.513070i	−0.975268	−	0.221025i	$-0.929060\pi$
$433$	−6.16396	+	10.6763i	−0.296221	+	0.513070i	0.679047	+	0.734095i	$0.262393\pi$
$434$	5.22078	−	2.72784i	0.250606	−	0.130941i
$435$	−3.27628	−	12.2272i	−0.157086	−	0.586251i
$436$	−5.06856	+	18.9161i	−0.242740	+	0.905919i
$437$	3.24151	+	0.868559i	0.155062	+	0.0415488i
$438$	17.9069			0.855625
$439$	−7.77197			−0.370936			−0.185468	−	0.982650i	$-0.559380\pi$
$439$	−7.77197			−0.370936			−0.185468	+	0.982650i	$0.559380\pi$
$440$	−2.32519	−	0.623033i	−0.110849	−	0.0297019i
$441$	2.72677	+	5.80156i	0.129846	+	0.276265i
$442$	0.493808	−	4.54053i	0.0234881	−	0.215971i
$443$	−3.14950	+	5.45509i	−0.149637	+	0.259179i	−0.931093	−	0.364781i	$-0.881144\pi$
$443$	−3.14950	+	5.45509i	−0.149637	+	0.259179i	0.781456	+	0.623960i	$0.214477\pi$
$444$	7.27658	−	1.94975i	0.345331	−	0.0925312i
$445$	−6.70060	+	11.6058i	−0.317639	+	0.550167i
$446$	7.85462	+	13.6046i	0.371927	+	0.644196i
$447$	−14.6513	−	14.6513i	−0.692982	−	0.692982i
$448$	22.4217	+	0.944877i	1.05932	+	0.0446412i
$449$	14.6362	−	3.92175i	0.690723	−	0.185079i	0.103651	−	0.994614i	$-0.466947\pi$
$449$	14.6362	−	3.92175i	0.690723	−	0.185079i	0.587072	+	0.809535i	$0.300281\pi$
$450$	10.2767	−	2.75363i	0.484448	−	0.129808i
$451$		−	17.1552i		−	0.807805i
$452$	−4.78688	−	2.76370i	−0.225156	−	0.129994i
$453$	24.2770	−	24.2770i	1.14064	−	1.14064i
$454$	28.7285			1.34829
$455$	24.4538	+	19.5351i	1.14641	+	0.915821i
$456$	−0.131486			−0.00615742
$457$	10.9957	−	10.9957i	0.514356	−	0.514356i	−0.401502	−	0.915858i	$-0.631512\pi$
$457$	10.9957	−	10.9957i	0.514356	−	0.514356i	0.915858	+	0.401502i	$0.131512\pi$
$458$	−19.9160	−	11.4985i	−0.930613	−	0.537290i
$459$			3.55344i			0.165860i
$460$	−29.7008	+	7.95829i	−1.38480	+	0.371057i
$461$	−29.6778	+	7.95214i	−1.38223	+	0.370368i	−0.871931	−	0.489628i	$-0.837133\pi$
$461$	−29.6778	+	7.95214i	−1.38223	+	0.370368i	−0.510301	+	0.859996i	$0.670466\pi$
$462$	21.1949	+	40.5647i	0.986077	+	1.88724i
$463$	−4.11310	−	4.11310i	−0.191152	−	0.191152i	0.605042	−	0.796194i	$-0.293156\pi$
$463$	−4.11310	−	4.11310i	−0.191152	−	0.191152i	−0.796194	+	0.605042i	$0.793156\pi$
$464$	−5.17622	−	8.96548i	−0.240300	−	0.416212i
$465$	−2.61650	+	4.53191i	−0.121337	+	0.210162i
$466$	−42.6042	+	11.4158i	−1.97360	+	0.528825i
$467$	4.08246	−	7.07102i	0.188913	−	0.327208i	−0.755975	−	0.654601i	$-0.772837\pi$
$467$	4.08246	−	7.07102i	0.188913	−	0.327208i	0.944888	+	0.327393i	$0.106170\pi$
$468$	−2.46194	+	6.34502i	−0.113803	+	0.293299i
$469$	13.9353	−	3.11157i	0.643472	−	0.143679i
$470$	46.9984	+	12.5932i	2.16787	+	0.580880i
$471$	10.9845			0.506139
$472$	0.117516			0.00540911
$473$	−23.1644	−	6.20688i	−1.06510	−	0.285393i
$474$	9.16104	−	34.1895i	0.420781	−	1.57037i
$475$	1.10129	+	4.11006i	0.0505305	+	0.188583i
$476$	−3.42491	−	0.144330i	−0.156981	−	0.00661535i
$477$	3.56274	−	6.17084i	0.163127	−	0.282544i
$478$			10.8027i			0.494105i
$479$	9.46087	+	35.3085i	0.432278	+	1.61328i	0.747497	+	0.664266i	$0.231256\pi$
$479$	9.46087	+	35.3085i	0.432278	+	1.61328i	−0.315218	+	0.949019i	$0.602078\pi$
$480$	−33.0362	+	19.0735i	−1.50789	+	0.870580i
$481$	9.07408	+	0.986859i	0.413743	+	0.0449969i
$482$		−	31.4616i		−	1.43304i
$483$	14.6609	+	9.30881i	0.667095	+	0.423565i
$484$	−25.0985	−	43.4719i	−1.14084	−	1.97599i
$485$	24.7623	−	14.2965i	1.12440	−	0.649171i
$486$	4.76899	−	17.7981i	0.216326	−	0.807339i
$487$	11.9118	−	11.9118i	0.539773	−	0.539773i	−0.383689	−	0.923462i	$-0.625347\pi$
$487$	11.9118	−	11.9118i	0.539773	−	0.539773i	0.923462	+	0.383689i	$0.125347\pi$
$488$	−0.129809	−	0.0347821i	−0.00587617	−	0.00157451i
$489$	−2.62555	+	2.62555i	−0.118731	+	0.118731i
$490$	26.4323	−	37.9941i	1.19409	−	1.71640i
$491$	8.48030	−	4.89611i	0.382711	−	0.220958i	−0.296286	−	0.955099i	$-0.595748\pi$
$491$	8.48030	−	4.89611i	0.382711	−	0.220958i	0.678997	+	0.734141i	$0.262415\pi$
$492$	6.07108	+	6.07108i	0.273705	+	0.273705i
$493$	0.839916	+	1.45478i	0.0378279	+	0.0655199i
$494$	−4.99987	−	1.94001i	−0.224955	−	0.0872851i
$495$	15.4717	+	8.93256i	0.695399	+	0.401489i
$496$	−1.10766	+	4.13383i	−0.0497352	+	0.185614i
$497$	−5.88650	+	1.31438i	−0.264046	+	0.0589578i
$498$	−12.7975	−	7.38863i	−0.573469	−	0.331093i
$499$	−0.762677	−	2.84635i	−0.0341421	−	0.127420i	0.946751	−	0.321966i	$-0.104344\pi$
$499$	−0.762677	−	2.84635i	−0.0341421	−	0.127420i	−0.980894	+	0.194545i	$0.937677\pi$
$500$	−3.65790	−	3.65790i	−0.163586	−	0.163586i
$501$	3.47321	+	3.47321i	0.155172	+	0.155172i
$502$	−2.40653	−	8.98127i	−0.107408	−	0.400854i
$503$	−24.6898	−	14.2547i	−1.10086	−	0.635584i	−0.164416	−	0.986391i	$-0.552574\pi$
$503$	−24.6898	−	14.2547i	−1.10086	−	0.635584i	−0.936448	+	0.350807i	$0.885907\pi$
$504$	0.285273	+	0.0894707i	0.0127071	+	0.00398534i
$505$	−14.5849	+	54.4314i	−0.649018	+	2.42217i
$506$	−47.1807	−	27.2398i	−2.09744	−	1.21096i
$507$	12.6586	−	13.8562i	0.562186	−	0.615377i
$508$	5.86956	+	10.1664i	0.260419	+	0.451060i
$509$	−13.6285	−	13.6285i	−0.604072	−	0.604072i	0.337319	−	0.941390i	$-0.390480\pi$
$509$	−13.6285	−	13.6285i	−0.604072	−	0.604072i	−0.941390	+	0.337319i	$0.890480\pi$
$510$	5.19632	−	3.00010i	0.230097	−	0.132847i
$511$	4.87321	−	15.5380i	0.215578	−	0.687360i
$512$	−22.7359	+	22.7359i	−1.00479	+	1.00479i
$513$	4.03037	+	1.07994i	0.177945	+	0.0476803i
$514$	−22.3234	+	22.3234i	−0.984642	+	0.984642i
$515$	−12.2194	+	45.6035i	−0.538452	+	2.00953i
$516$	10.3943	−	6.00113i	0.457582	−	0.264185i
$517$	21.8770	+	37.8921i	0.962149	+	1.66649i
$518$	0.568309	−	13.4858i	0.0249700	−	0.592532i
$519$		−	20.2843i		−	0.890381i
$520$	1.44258	−	0.223146i	0.0632612	−	0.00978561i
$521$	9.05428	−	5.22749i	0.396675	−	0.229020i	−0.288373	−	0.957518i	$-0.593114\pi$
$521$	9.05428	−	5.22749i	0.396675	−	0.229020i	0.685048	+	0.728498i	$0.259781\pi$
$522$	−1.27650	−	4.76395i	−0.0558708	−	0.208513i
$523$			18.4333i			0.806033i	0.915193	+	0.403016i	$0.132038\pi$
$523$			18.4333i			0.806033i	−0.915193	+	0.403016i	$0.867962\pi$
$524$	18.0465	−	31.2574i	0.788365	−	1.36549i
$525$	−0.927121	+	22.0003i	−0.0404629	+	0.960173i
$526$	12.4715	+	46.5444i	0.543785	+	2.02943i
$527$	0.179733	−	0.670773i	0.00782929	−	0.0292193i
$528$	−32.1192	−	8.60632i	−1.39781	−	0.374542i
$529$	2.32795			0.101215
$530$	−51.4470			−2.23472
$531$	−0.842426	−	0.225727i	−0.0365582	−	0.00979574i
$532$	−1.20458	+	3.84073i	−0.0522250	+	0.166517i
$533$	4.19689	+	9.51872i	0.181788	+	0.412301i
$534$	5.94169	−	10.2913i	0.257122	−	0.445348i
$535$	9.89016	−	2.65006i	0.427589	−	0.114572i
$536$	0.332965	−	0.576713i	0.0143819	−	0.0249102i
$537$	−10.8005	−	18.7070i	−0.466075	−	0.807266i
$538$	19.2858	+	19.2858i	0.831469	+	0.831469i
$539$	40.9664	−	7.35170i	1.76455	−	0.316660i
$540$	−36.9288	+	9.89505i	−1.58916	+	0.425815i
$541$	40.4921	−	10.8498i	1.74089	−	0.466470i	0.758246	−	0.651969i	$-0.226057\pi$
$541$	40.4921	−	10.8498i	1.74089	−	0.466470i	0.982644	+	0.185499i	$0.0593901\pi$
$542$			43.6387i			1.87444i
$543$	−19.3053	−	11.1459i	−0.828470	−	0.478317i
$544$	3.57953	−	3.57953i	0.153471	−	0.153471i
$545$	−31.1722			−1.33527
$546$	−21.6841	−	17.3226i	−0.927994	−	0.741337i
$547$	39.3151			1.68099			0.840496	−	0.541818i	$-0.182264\pi$
$547$	39.3151			1.68099			0.840496	+	0.541818i	$0.182264\pi$
$548$	21.3663	−	21.3663i	0.912724	−	0.912724i
$549$	0.863737	+	0.498679i	0.0368634	+	0.0212831i
$550$		−	69.0772i		−	2.94546i
$551$	1.90529	−	0.510522i	0.0811683	−	0.0217490i
$552$	0.782357	−	0.209632i	0.0332993	−	0.00892253i
$553$	−27.1734	−	17.2535i	−1.15553	−	0.733693i
$554$	−30.5185	−	30.5185i	−1.29661	−	1.29661i
$555$	5.99559	+	10.3847i	0.254499	+	0.440805i
$556$	3.69460	−	6.39924i	0.156686	−	0.271388i
$557$	41.1681	−	11.0310i	1.74435	−	0.467397i	0.760944	−	0.648818i	$-0.224736\pi$
$557$	41.1681	−	11.0310i	1.74435	−	0.467397i	0.983405	+	0.181421i	$0.0580697\pi$
$558$	−1.01943	+	1.76571i	−0.0431561	+	0.0747486i
$559$	14.3715	−	2.22306i	0.607848	−	0.0940255i
$560$	7.32805	+	32.8190i	0.309666	+	1.38686i
$561$	5.21180	+	1.39650i	0.220042	+	0.0589602i
$562$	−2.49307			−0.105164
$563$	−37.3926			−1.57591			−0.787955	−	0.615733i	$-0.788860\pi$
$563$	−37.3926			−1.57591			−0.787955	+	0.615733i	$0.788860\pi$
$564$	−21.1518	−	5.66761i	−0.890652	−	0.238650i
$565$	2.27718	−	8.49854i	0.0958015	−	0.357536i
$566$	9.62909	+	35.9363i	0.404741	+	1.51051i
$567$	12.0926	+	7.67805i	0.507840	+	0.322448i
$568$	−0.140650	+	0.243613i	−0.00590155	+	0.0102218i
$569$		−	31.1625i		−	1.30640i	−0.757186	−	0.653199i	$-0.773426\pi$
$569$		−	31.1625i		−	1.30640i	0.757186	−	0.653199i	$-0.226574\pi$
$570$	−1.82354	−	6.80553i	−0.0763795	−	0.285052i
$571$	−16.5495	+	9.55483i	−0.692573	+	0.399857i	−0.804575	−	0.593851i	$-0.797607\pi$
$571$	−16.5495	+	9.55483i	−0.692573	+	0.399857i	0.112002	+	0.993708i	$0.464274\pi$
$572$	35.6554	+	26.1023i	1.49083	+	1.09139i
$573$			24.7663i			1.03463i
$574$	13.6347	−	7.12407i	0.569101	−	0.297353i
$575$	−13.1055	−	22.6995i	−0.546539	−	0.946633i
$576$	−6.72702	+	3.88385i	−0.280293	+	0.161827i
$577$	5.15872	−	19.2526i	0.214760	−	0.801497i	−0.771490	−	0.636241i	$-0.780488\pi$
$577$	5.15872	−	19.2526i	0.214760	−	0.801497i	0.986251	−	0.165256i	$-0.0528450\pi$
$578$	23.6619	−	23.6619i	0.984206	−	0.984206i
$579$	8.55194	+	2.29149i	0.355406	+	0.0952309i
$580$	−12.7798	+	12.7798i	−0.530652	+	0.530652i
$581$	−9.89391	+	9.09375i	−0.410469	+	0.377272i
$582$	−21.9577	+	12.6773i	−0.910176	+	0.525490i
$583$	−32.7132	−	32.7132i	−1.35484	−	1.35484i
$584$	−0.379740	−	0.657728i	−0.0157137	−	0.0272170i
$585$	−10.7699	−	1.17129i	−0.445281	−	0.0484268i
$586$	21.6861	+	12.5205i	0.895847	+	0.517217i
$587$	−10.4047	+	38.8308i	−0.429447	+	1.60272i	0.324569	+	0.945862i	$0.394781\pi$
$587$	−10.4047	+	38.8308i	−0.429447	+	1.60272i	−0.754016	+	0.656856i	$0.771886\pi$
$588$	−11.8960	+	17.0994i	−0.490582	+	0.705168i
$589$	−0.706179	−	0.407713i	−0.0290976	−	0.0167995i
$590$	1.62979	+	6.08244i	0.0670972	+	0.250410i
$591$	26.2000	+	26.2000i	1.07772	+	1.07772i
$592$	6.93434	+	6.93434i	0.285000	+	0.285000i
$593$	−1.86107	−	6.94560i	−0.0764249	−	0.285222i	0.917128	−	0.398594i	$-0.130502\pi$
$593$	−1.86107	−	6.94560i	−0.0764249	−	0.285222i	−0.993553	+	0.113372i	$0.963835\pi$
$594$	−58.6627	−	33.8689i	−2.40696	−	1.38966i
$595$	−1.18908	−	5.32535i	−0.0487475	−	0.218318i
$596$	−7.65669	+	28.5752i	−0.313630	+	1.17048i
$597$	10.9116	+	6.29979i	0.446580	+	0.257833i
$598$	32.8427	+	3.57183i	1.34304	+	0.146063i
$599$	14.6877	+	25.4398i	0.600123	+	1.03944i	0.992802	+	0.119768i	$0.0382150\pi$
$599$	14.6877	+	25.4398i	0.600123	+	1.03944i	−0.392679	+	0.919676i	$0.628452\pi$
$600$	0.726185	+	0.726185i	0.0296464	+	0.0296464i
$601$	40.3495	−	23.2958i	1.64589	−	0.950255i	0.667208	−	0.744871i	$-0.267489\pi$
$601$	40.3495	−	23.2958i	1.64589	−	0.950255i	0.978682	−	0.205384i	$-0.0658442\pi$
$602$	−4.68640	−	20.9883i	−0.191004	−	0.855419i
$603$	−3.49466	+	3.49466i	−0.142314	+	0.142314i
$604$	−47.3488	−	12.6871i	−1.92659	−	0.516229i
$605$	56.4991	−	56.4991i	2.29702	−	2.29702i
$606$	12.9330	−	48.2665i	0.525366	−	1.96069i
$607$	−18.6085	+	10.7436i	−0.755295	+	0.436070i	−0.827604	−	0.561312i	$-0.810297\pi$
$607$	−18.6085	+	10.7436i	−0.755295	+	0.436070i	0.0723088	+	0.997382i	$0.476963\pi$
$608$	−2.97210	−	5.14782i	−0.120534	−	0.208772i
$609$	10.1987	+	0.429784i	0.413270	+	0.0174157i
$610$		−	7.20107i		−	0.291563i
$611$	−21.4087	−	15.6727i	−0.866104	−	0.634052i
$612$	1.02755	−	0.593258i	0.0415364	−	0.0239810i
$613$	7.39841	+	27.6112i	0.298819	+	1.11521i	0.938137	+	0.346265i	$0.112550\pi$
$613$	7.39841	+	27.6112i	0.298819	+	1.11521i	−0.639318	+	0.768943i	$0.720783\pi$
$614$			10.0146i			0.404156i
$615$	−6.83329	+	11.8356i	−0.275545	+	0.477257i
$616$	1.04049	−	1.63873i	0.0419227	−	0.0660262i
$617$	−5.40928	−	20.1877i	−0.217769	−	0.812726i	−0.985173	−	0.171562i	$-0.945119\pi$
$617$	−5.40928	−	20.1877i	−0.217769	−	0.812726i	0.767404	−	0.641164i	$-0.221548\pi$
$618$	10.8354	−	40.4384i	0.435866	−	1.62667i
$619$	−4.33146	−	1.16061i	−0.174096	−	0.0466489i	0.170718	−	0.985320i	$-0.445391\pi$
$619$	−4.33146	−	1.16061i	−0.174096	−	0.0466489i	−0.344814	+	0.938671i	$0.612058\pi$
$620$	7.47144			0.300060
$621$	−25.7029			−1.03142
$622$	35.7510	+	9.57946i	1.43349	+	0.384101i
$623$	−7.31288	−	7.95635i	−0.292985	−	0.318764i
$624$	19.9272	−	3.08245i	0.797725	−	0.123397i
$625$	−10.2952	+	17.8317i	−0.411806	+	0.713269i
$626$	−17.5009	+	4.68935i	−0.699476	+	0.187424i
$627$	3.16787	−	5.48690i	0.126512	−	0.219126i
$628$	−7.84159	−	13.5820i	−0.312914	−	0.541982i
$629$	−1.12520	−	1.12520i	−0.0448645	−	0.0448645i
$630$	−0.674517	+	16.0061i	−0.0268734	+	0.637699i
$631$	−9.89598	+	2.65162i	−0.393953	+	0.105559i	−0.450357	−	0.892849i	$-0.648703\pi$
$631$	−9.89598	+	2.65162i	−0.393953	+	0.105559i	0.0564039	+	0.998408i	$0.482037\pi$
$632$	−1.45007	+	0.388544i	−0.0576806	+	0.0154555i
$633$		−	15.6313i		−	0.621290i
$634$	−25.1439	−	14.5168i	−0.998592	−	0.576537i
$635$	−13.2129	+	13.2129i	−0.524339	+	0.524339i
$636$	23.1539			0.918114
$637$	−20.9321	+	14.1013i	−0.829360	+	0.558715i
$638$	−32.0220			−1.26776
$639$	1.47620	−	1.47620i	0.0583977	−	0.0583977i
$640$	2.80362	+	1.61867i	0.110823	+	0.0639836i
$641$			32.0455i			1.26572i	0.774266	+	0.632860i	$0.218119\pi$
$641$			32.0455i			1.26572i	−0.774266	+	0.632860i	$0.781881\pi$
$642$	−8.77000	+	2.34991i	−0.346124	+	0.0927437i
$643$	44.5502	−	11.9372i	1.75689	−	0.470757i	0.770815	−	0.637059i	$-0.219849\pi$
$643$	44.5502	−	11.9372i	1.75689	−	0.470757i	0.986075	+	0.166302i	$0.0531826\pi$
$644$	1.04397	−	24.7732i	0.0411383	−	0.976201i
$645$	13.5091	+	13.5091i	0.531921	+	0.531921i
$646$	0.467487	+	0.809711i	0.0183930	+	0.0318576i
$647$	15.3506	−	26.5881i	0.603496	−	1.04529i	−0.388792	−	0.921326i	$-0.627107\pi$
$647$	15.3506	−	26.5881i	0.603496	−	1.04529i	0.992287	−	0.123959i	$-0.0395593\pi$
$648$	0.645301	−	0.172908i	0.0253498	−	0.00679246i
$649$	−2.83128	+	4.90392i	−0.111137	+	0.192496i
$650$	16.8993	+	38.3282i	0.662844	+	1.50336i
$651$	−2.85559	−	3.10685i	−0.111919	−	0.121767i
$652$	5.12074	+	1.37210i	0.200544	+	0.0537355i
$653$	−15.3539			−0.600844			−0.300422	−	0.953806i	$-0.597127\pi$
$653$	−15.3539			−0.600844			−0.300422	+	0.953806i	$0.597127\pi$
$654$	27.6416			1.08087
$655$	55.4939	+	14.8696i	2.16833	+	0.581001i
$656$	−2.89277	+	10.7960i	−0.112944	+	0.421512i
$657$	1.45883	+	5.44441i	0.0569142	+	0.212407i
$658$	−21.0312	+	33.1231i	−0.819880	+	1.29127i
$659$	4.71985	−	8.17502i	0.183859	−	0.318454i	−0.759332	−	0.650703i	$-0.774474\pi$
$659$	4.71985	−	8.17502i	0.183859	−	0.318454i	0.943192	+	0.332250i	$0.107808\pi$
$660$			58.0520i			2.25967i
$661$	2.13827	+	7.98013i	0.0831691	+	0.310391i	0.994961	−	0.100261i	$-0.0319677\pi$
$661$	2.13827	+	7.98013i	0.0831691	+	0.310391i	−0.911792	+	0.410652i	$0.865301\pi$
$662$	14.2832	−	8.24641i	0.555132	−	0.320506i
$663$	−3.23347	+	0.500171i	−0.125577	+	0.0194250i
$664$			0.626743i			0.0243224i
$665$	−6.40148	−	0.269766i	−0.248239	−	0.0104611i
$666$	2.33599	+	4.04605i	0.0905178	+	0.156781i
$667$	−10.5227	+	6.07531i	−0.407442	+	0.235237i
$668$	1.81508	−	6.77398i	0.0702277	−	0.262093i
$669$	7.95763	−	7.95763i	0.307660	−	0.307660i
$670$	34.4675	+	9.23555i	1.33160	+	0.356800i
$671$	4.57890	−	4.57890i	0.176766	−	0.176766i
$672$	−6.70349	−	30.0219i	−0.258593	−	1.15812i
$673$	−27.2566	+	15.7366i	−1.05067	+	0.606602i	−0.922836	−	0.385194i	$-0.874134\pi$
$673$	−27.2566	+	15.7366i	−1.05067	+	0.606602i	−0.127830	+	0.991796i	$0.540801\pi$
$674$	2.33459	+	2.33459i	0.0899252	+	0.0899252i
$675$	−16.2950	−	28.2237i	−0.627193	−	1.08633i
$676$	−26.1695	−	5.76031i	−1.00652	−	0.221550i
$677$	−40.8799	−	23.6020i	−1.57114	−	0.907099i	−0.996029	−	0.0890246i	$-0.971625\pi$
$677$	−40.8799	−	23.6020i	−1.57114	−	0.907099i	−0.575112	−	0.818074i	$-0.695042\pi$
$678$	−2.01926	+	7.53599i	−0.0775493	+	0.289418i
$679$	5.02460	+	22.5029i	0.192827	+	0.863583i
$680$	−0.220390	−	0.127242i	−0.00845157	−	0.00487952i
$681$	−5.32663	−	19.8792i	−0.204117	−	0.761774i
$682$	9.36050	+	9.36050i	0.358432	+	0.358432i
$683$	−32.1357	−	32.1357i	−1.22964	−	1.22964i	−0.964100	−	0.265538i	$-0.914450\pi$
$683$	−32.1357	−	32.1357i	−1.22964	−	1.22964i	−0.265538	−	0.964100i	$-0.585550\pi$
$684$	−0.360597	−	1.34577i	−0.0137878	−	0.0514567i
$685$	41.6538	+	24.0488i	1.59151	+	0.918858i
$686$	22.8553	+	29.5066i	0.872619	+	1.12657i
$687$	−4.26394	+	15.9132i	−0.162680	+	0.607128i
$688$	13.5310	+	7.81214i	0.515866	+	0.297835i
$689$	26.1544	+	10.1482i	0.996402	+	0.386616i
$690$	21.7004	+	37.5863i	0.826121	+	1.43088i
$691$	−13.3618	−	13.3618i	−0.508308	−	0.508308i	0.405699	−	0.914007i	$-0.367028\pi$
$691$	−13.3618	−	13.3618i	−0.508308	−	0.508308i	−0.914007	+	0.405699i	$0.867028\pi$
$692$	−25.0810	+	14.4805i	−0.953435	+	0.550466i
$693$	−10.6066	+	9.74879i	−0.402911	+	0.370326i
$694$	13.7246	−	13.7246i	0.520980	−	0.520980i
$695$	11.3611	+	3.04420i	0.430951	+	0.115473i
$696$	0.336637	−	0.336637i	0.0127602	−	0.0127602i
$697$	0.469393	−	1.75180i	0.0177795	−	0.0663542i
$698$	51.4340	−	29.6954i	1.94680	−	1.12399i
$699$	15.7987	+	27.3642i	0.597563	+	1.03501i
$700$	27.8647	−	14.5592i	1.05319	−	0.550286i
$701$		−	31.6032i		−	1.19364i	−0.802377	−	0.596818i	$-0.796431\pi$
$701$		−	31.6032i		−	1.19364i	0.802377	−	0.596818i	$-0.203569\pi$
$702$	40.8354	+	4.44109i	1.54123	+	0.167618i
$703$	−1.61818	+	0.934256i	−0.0610308	+	0.0352361i
$704$	13.0531	+	48.7148i	0.491957	+	1.83601i
$705$		−	34.8564i		−	1.31277i
$706$	−16.1071	+	27.8982i	−0.606197	+	1.04996i
$707$	−38.3617	−	24.3574i	−1.44274	−	0.916053i
$708$	−0.733492	−	2.73743i	−0.0275663	−	0.102879i
$709$	−5.02350	+	18.7480i	−0.188661	+	0.704094i	0.805156	+	0.593064i	$0.202082\pi$
$709$	−5.02350	+	18.7480i	−0.188661	+	0.704094i	−0.993817	+	0.111030i	$0.964585\pi$
$710$	−14.5597	−	3.90125i	−0.546414	−	0.146411i
$711$	11.1413			0.417831
$712$	−0.504006			−0.0188884
$713$	4.85186	+	1.30005i	0.181704	+	0.0486873i
$714$	1.05440	+	4.72220i	0.0394601	+	0.176724i
$715$	−25.4438	+	65.5747i	−0.951543	+	2.45236i
$716$	−15.4205	+	26.7090i	−0.576290	+	0.998163i
$717$	7.47517	−	2.00296i	0.279165	−	0.0748021i
$718$	−5.79058	+	10.0296i	−0.216103	+	0.374301i
$719$	2.23540	+	3.87183i	0.0833665	+	0.144395i	0.904694	−	0.426062i	$-0.140099\pi$
$719$	2.23540	+	3.87183i	0.0833665	+	0.144395i	−0.821327	+	0.570457i	$0.806766\pi$
$720$	−8.23028	−	8.23028i	−0.306724	−	0.306724i
$721$	−32.1401	−	20.4070i	−1.19696	−	0.759996i
$722$	−35.9246	+	9.62596i	−1.33697	+	0.358241i
$723$	−21.7705	+	5.83339i	−0.809654	+	0.216946i
$724$			31.8273i			1.18285i
$725$	−13.3423	−	7.70318i	−0.495520	−	0.286089i
$726$	−50.1000	+	50.1000i	−1.85938	+	1.85938i
$727$	−25.9080			−0.960874			−0.480437	−	0.877029i	$-0.659522\pi$
$727$	−25.9080			−0.960874			−0.480437	+	0.877029i	$0.659522\pi$
$728$	−0.176425	+	1.16382i	−0.00653874	+	0.0431339i
$729$	−29.4421			−1.09045
$730$	28.7765	−	28.7765i	1.06507	−	1.06507i
$731$	−2.19560	−	1.26763i	−0.0812073	−	0.0468851i
$732$			3.24087i			0.119786i
$733$	−46.3272	+	12.4133i	−1.71114	+	0.458497i	−0.975703	−	0.219100i	$-0.929688\pi$
$733$	−46.3272	+	12.4133i	−1.71114	+	0.458497i	−0.735433	+	0.677597i	$0.763021\pi$
$734$	−49.5619	+	13.2801i	−1.82936	+	0.490177i
$735$	−31.1917	−	11.2458i	−1.15052	−	0.414808i
$736$	25.8916	+	25.8916i	0.954376	+	0.954376i
$737$	16.0441	+	27.7892i	0.590991	+	1.02363i
$738$	−2.66237	+	4.61136i	−0.0980033	+	0.169747i
$739$	16.8688	−	4.51998i	0.620529	−	0.166270i	0.0651605	−	0.997875i	$-0.479244\pi$
$739$	16.8688	−	4.51998i	0.620529	−	0.166270i	0.555368	+	0.831605i	$0.312577\pi$
$740$	8.56025	−	14.8268i	0.314681	−	0.545043i
$741$	−0.415389	+	3.81946i	−0.0152597	+	0.140311i
$742$	12.4151	−	39.5850i	0.455773	−	1.45321i
$743$	−33.0523	−	8.85634i	−1.21257	−	0.324908i	−0.404801	−	0.914405i	$-0.632659\pi$
$743$	−33.0523	−	8.85634i	−1.21257	−	0.324908i	−0.807770	+	0.589497i	$0.799326\pi$
$744$	−0.196808			−0.00721532
$745$	−47.0894			−1.72522
$746$	36.4314	+	9.76176i	1.33385	+	0.357403i
$747$	1.20386	−	4.49288i	0.0440470	−	0.164386i
$748$	−1.99386	−	7.44118i	−0.0729027	−	0.272077i
$749$	−0.347637	+	8.24932i	−0.0127024	+	0.301424i
$750$	−3.65083	+	6.32342i	−0.133309	+	0.230899i
$751$		−	5.56485i		−	0.203064i	−0.994832	−	0.101532i	$-0.967626\pi$
$751$		−	5.56485i		−	0.203064i	0.994832	−	0.101532i	$-0.0323745\pi$
$752$	−7.37798	−	27.5350i	−0.269047	−	1.00410i
$753$	−5.76857	+	3.33049i	−0.210219	+	0.121370i
$754$	17.7677	−	7.83397i	0.647063	−	0.285296i
$755$		−	78.0268i		−	2.83969i
$756$	1.29804	−	30.8021i	0.0472092	−	1.12026i
$757$	−9.89589	−	17.1402i	−0.359672	−	0.622971i	0.628234	−	0.778025i	$-0.283778\pi$
$757$	−9.89589	−	17.1402i	−0.359672	−	0.622971i	−0.987906	+	0.155054i	$0.950445\pi$
$758$	37.0601	−	21.3967i	1.34609	−	0.777163i
$759$	−10.1012	+	37.6982i	−0.366651	+	1.36836i
$760$	−0.211300	+	0.211300i	−0.00766464	+	0.00766464i
$761$	32.7829	+	8.78414i	1.18838	+	0.318425i	0.798245	−	0.602334i	$-0.205762\pi$
$761$	32.7829	+	8.78414i	1.18838	+	0.318425i	0.390133	+	0.920758i	$0.372429\pi$
$762$	11.7164	−	11.7164i	0.424441	−	0.424441i
$763$	7.52243	−	23.9849i	0.272330	−	0.868312i
$764$	30.6229	−	17.6801i	1.10790	−	0.639644i
$765$	1.33548	+	1.33548i	0.0482844	+	0.0482844i
$766$	−32.7018	−	56.6411i	−1.18156	−	2.04653i
$767$	0.371254	−	3.41365i	0.0134052	−	0.123260i
$768$	18.7238	+	10.8102i	0.675635	+	0.390078i
$769$	4.79803	−	17.9065i	0.173021	−	0.645725i	−0.823859	−	0.566795i	$-0.808183\pi$
$769$	4.79803	−	17.9065i	0.173021	−	0.645725i	0.996880	−	0.0789297i	$-0.0251503\pi$
$770$	99.2482	+	31.1274i	3.57666	+	1.12175i
$771$	19.5862	+	11.3081i	0.705378	+	0.407250i
$772$	−3.27168	−	12.2101i	−0.117750	−	0.439451i
$773$	16.3963	+	16.3963i	0.589735	+	0.589735i	0.937560	−	0.347824i	$-0.113079\pi$
$773$	16.3963	+	16.3963i	0.589735	+	0.589735i	−0.347824	+	0.937560i	$0.613079\pi$
$774$	5.26340	+	5.26340i	0.189189	+	0.189189i
$775$	1.64840	+	6.15190i	0.0592122	+	0.220983i
$776$	0.931285	+	0.537678i	0.0334312	+	0.0193015i
$777$	−9.43715	+	2.10719i	−0.338556	+	0.0755950i
$778$	−3.63222	+	13.5556i	−0.130221	+	0.485993i
$779$	−1.84427	−	1.06479i	−0.0660778	−	0.0381500i
$780$	−14.2020	−	32.2108i	−0.508514	−	1.15333i
$781$	−6.77729	−	11.7386i	−0.242510	−	0.420040i
$782$	−4.07253	−	4.07253i	−0.145633	−	0.145633i
$783$	−13.0836	+	7.55382i	−0.467570	+	0.269952i
$784$	−27.0204	−	2.28140i	−0.965014	−	0.0814785i
$785$	17.6522	−	17.6522i	0.630033	−	0.630033i
$786$	−49.2086	−	13.1854i	−1.75521	−	0.470308i
$787$	11.1188	−	11.1188i	0.396342	−	0.396342i	−0.480598	−	0.876941i	$-0.659581\pi$
$787$	11.1188	−	11.1188i	0.396342	−	0.396342i	0.876941	+	0.480598i	$0.159581\pi$
$788$	13.6920	−	51.0992i	0.487757	−	1.82033i
$789$	29.8950	−	17.2599i	1.06429	−	0.614468i
$790$	−40.2209	−	69.6646i	−1.43099	−	2.47856i
$791$	5.98952	+	3.80299i	0.212963	+	0.135219i
$792$			0.671889i			0.0238745i
$793$	−1.42045	+	3.66085i	−0.0504417	+	0.130000i
$794$	26.0742	−	15.0540i	0.925340	−	0.534245i
$795$	9.53894	+	35.5998i	0.338311	+	1.26259i
$796$		−	17.9891i		−	0.637608i
$797$	10.8696	−	18.8267i	0.385021	−	0.666876i	−0.606751	−	0.794892i	$-0.707527\pi$
$797$	10.8696	−	18.8267i	0.385021	−	0.666876i	0.991772	+	0.128016i	$0.0408608\pi$
$798$	5.67645	+	0.239212i	0.200944	+	0.00846803i
$799$	1.19718	+	4.46794i	0.0423533	+	0.158064i
$800$	−12.0163	+	44.8455i	−0.424840	+	1.58553i
$801$	3.61302	+	0.968105i	0.127660	+	0.0342063i
$802$	−48.7187			−1.72032
$803$	36.5958			1.29144
$804$	−15.5123	−	4.15650i	−0.547075	−	0.146588i
$805$	38.5195	−	8.60090i	1.35764	−	0.303142i
$806$	−7.48376	−	2.90379i	−0.263604	−	0.102282i
$807$	9.76935	−	16.9210i	0.343897	−	0.595648i
$808$	−2.04711	+	0.548522i	−0.0720171	+	0.0192969i
$809$	−17.8402	+	30.9002i	−0.627229	+	1.08639i	0.360876	+	0.932614i	$0.382478\pi$
$809$	−17.8402	+	30.9002i	−0.627229	+	1.08639i	−0.988105	+	0.153779i	$0.950856\pi$
$810$	17.8989	+	31.0018i	0.628902	+	1.08929i
$811$	0.747882	+	0.747882i	0.0262617	+	0.0262617i	0.720116	−	0.693854i	$-0.244089\pi$
$811$	0.747882	+	0.747882i	0.0262617	+	0.0262617i	−0.693854	+	0.720116i	$0.744089\pi$
$812$	−6.74918	−	12.9172i	−0.236850	−	0.453304i
$813$	30.1967	−	8.09117i	1.05904	−	0.283770i
$814$	29.3001	−	7.85095i	1.02697	−	0.275176i
$815$			8.43855i			0.295590i
$816$	−3.04437	−	1.75767i	−0.106574	−	0.0615308i
$817$	−2.10504	+	2.10504i	−0.0736461	+	0.0736461i
$818$	75.6376			2.64461
$819$	3.50020	−	8.00405i	0.122307	−	0.279684i
$820$	19.5125			0.681407
$821$	7.82100	−	7.82100i	0.272955	−	0.272955i	−0.557334	−	0.830289i	$-0.688176\pi$
$821$	7.82100	−	7.82100i	0.272955	−	0.272955i	0.830289	+	0.557334i	$0.188176\pi$
$822$	−36.9360	−	21.3250i	−1.28829	−	0.743796i
$823$			23.6095i			0.822977i	0.911415	+	0.411488i	$0.134991\pi$
$823$			23.6095i			0.822977i	−0.911415	+	0.411488i	$0.865009\pi$
$824$	−1.71510	+	0.459560i	−0.0597484	+	0.0160095i
$825$	−47.7994	+	12.8078i	−1.66416	+	0.445910i
$826$	−5.07333	−	0.213796i	−0.176524	−	0.00743892i
$827$	−1.09240	−	1.09240i	−0.0379865	−	0.0379865i	0.687858	−	0.725845i	$-0.258551\pi$
$827$	−1.09240	−	1.09240i	−0.0379865	−	0.0379865i	−0.725845	+	0.687858i	$0.758551\pi$
$828$	4.29118	+	7.43253i	0.149129	+	0.258298i
$829$	−19.1064	+	33.0932i	−0.663591	+	1.14937i	0.316074	+	0.948735i	$0.397635\pi$
$829$	−19.1064	+	33.0932i	−0.663591	+	1.14937i	−0.979665	+	0.200639i	$0.935698\pi$
$830$	−32.4392	+	8.69207i	−1.12598	+	0.301706i
$831$	−15.4594	+	26.7765i	−0.536280	+	0.928865i
$832$	−19.1604	−	23.8366i	−0.664267	−	0.826384i
$833$	4.38444	+	0.370189i	0.151912	+	0.0128263i
$834$	−10.0743	−	2.69941i	−0.348846	−	0.0934729i
$835$	11.1630			0.386310
$836$	−9.04588			−0.312858
$837$	6.03263	+	1.61644i	0.208518	+	0.0558722i
$838$	−4.24682	+	15.8493i	−0.146704	+	0.547506i
$839$	10.2082	+	38.0974i	0.352425	+	1.31527i	0.883694	+	0.468066i	$0.155049\pi$
$839$	10.2082	+	38.0974i	0.352425	+	1.31527i	−0.531268	+	0.847204i	$0.678284\pi$
$840$	−1.37060	+	0.716131i	−0.0472900	+	0.0247089i
$841$	10.9291	−	18.9297i	0.376864	−	0.652747i
$842$			7.01435i			0.241730i
$843$	0.462248	+	1.72513i	0.0159207	+	0.0594167i
$844$	−19.3277	+	11.1589i	−0.665288	+	0.384104i
$845$	−1.92467	−	42.6095i	−0.0662108	−	1.46581i
$846$		−	13.5807i		−	0.466914i
$847$	29.8380	+	57.1065i	1.02524	+	1.96220i
$848$	15.0707	+	26.1031i	0.517528	+	0.896385i
$849$	23.0815	−	13.3261i	0.792154	−	0.457350i
$850$	1.89007	−	7.05382i	0.0648288	−	0.241944i
$851$	8.13881	−	8.13881i	0.278995	−	0.278995i
$852$	6.55263	+	1.75577i	0.224490	+	0.0601518i
$853$	2.18217	−	2.18217i	0.0747162	−	0.0747162i	−0.668761	−	0.743477i	$-0.733175\pi$
$853$	2.18217	−	2.18217i	0.0747162	−	0.0747162i	0.743477	+	0.668761i	$0.233175\pi$
$854$	5.54074	+	1.73775i	0.189600	+	0.0594647i
$855$	1.92059	−	1.10886i	0.0656829	−	0.0379220i
$856$	0.272293	+	0.272293i	0.00930678	+	0.00930678i
$857$	14.7330	+	25.5183i	0.503270	+	0.871689i	0.999993	+	0.00377978i	$0.00120314\pi$
$857$	14.7330	+	25.5183i	0.503270	+	0.871689i	−0.496723	+	0.867909i	$0.665464\pi$
$858$	22.5620	−	58.1477i	0.770254	−	1.98513i
$859$	−44.5926	−	25.7455i	−1.52148	−	0.878426i	−0.999678	−	0.0253585i	$-0.991927\pi$
$859$	−44.5926	−	25.7455i	−1.52148	−	0.878426i	−0.521800	−	0.853068i	$-0.674739\pi$
$860$	7.05980	−	26.3475i	0.240737	−	0.898443i
$861$	−7.45769	−	8.11390i	−0.254158	−	0.276521i
$862$	26.7334	+	15.4345i	0.910543	+	0.525702i
$863$	8.33816	+	31.1185i	0.283834	+	1.05928i	0.949687	+	0.313201i	$0.101401\pi$
$863$	8.33816	+	31.1185i	0.283834	+	1.05928i	−0.665852	+	0.746083i	$0.731932\pi$
$864$	32.1926	+	32.1926i	1.09522	+	1.09522i
$865$	−32.5970	−	32.5970i	−1.10833	−	1.10833i
$866$	−6.43005	−	23.9973i	−0.218502	−	0.815461i
$867$	−20.7606	−	11.9861i	−0.705066	−	0.407070i
$868$	−1.80300	+	5.74877i	−0.0611977	+	0.195126i
$869$	18.7222	−	69.8721i	0.635106	−	2.37025i
$870$	22.0925	+	12.7551i	0.749005	+	0.432438i
$871$	−15.7007	−	11.4940i	−0.531997	−	0.389460i
$872$	−0.586177	−	1.01529i	−0.0198505	−	0.0343820i
$873$	−5.64323	−	5.64323i	−0.190994	−	0.190994i
$874$	−5.85683	+	3.38144i	−0.198110	+	0.114379i
$875$	4.49335	+	4.88872i	0.151903	+	0.165269i
$876$	−12.9510	+	12.9510i	−0.437574	+	0.437574i
$877$	−23.9651	−	6.42144i	−0.809245	−	0.216837i	−0.169606	−	0.985512i	$-0.554250\pi$
$877$	−23.9651	−	6.42144i	−0.809245	−	0.216837i	−0.639639	+	0.768675i	$0.720916\pi$
$878$	11.0750	−	11.0750i	0.373764	−	0.373764i
$879$	4.64293	−	17.3276i	0.156602	−	0.584447i
$880$	−65.4462	+	37.7854i	−2.20619	+	1.27375i
$881$	8.18440	+	14.1758i	0.275740	+	0.477595i	0.970321	−	0.241819i	$-0.0777439\pi$
$881$	8.18440	+	14.1758i	0.275740	+	0.477595i	−0.694582	+	0.719414i	$0.744411\pi$
$882$	−12.1528	−	4.38157i	−0.409208	−	0.147535i
$883$			13.3555i			0.449449i	0.974422	+	0.224724i	$0.0721482\pi$
$883$			13.3555i			0.449449i	−0.974422	+	0.224724i	$0.927852\pi$
$884$	2.92675	+	3.64103i	0.0984373	+	0.122461i
$885$	3.90669	−	2.25553i	0.131322	−	0.0758187i
$886$	−3.28546	−	12.2615i	−0.110377	−	0.411934i
$887$			16.4923i			0.553757i	0.960905	+	0.276878i	$0.0892999\pi$
$887$			16.4923i			0.553757i	−0.960905	+	0.276878i	$0.910700\pi$
$888$	−0.225488	+	0.390557i	−0.00756689	+	0.0131062i
$889$	−6.97793	−	13.3550i	−0.234032	−	0.447911i
$890$	−6.98987	−	26.0865i	−0.234301	−	0.874423i
$891$	−8.33164	+	31.0941i	−0.279120	+	1.04169i
$892$	−15.5202	−	4.15862i	−0.519654	−	0.139241i
$893$	5.43146			0.181757
$894$	41.7561			1.39653
$895$	−47.4187	−	12.7058i	−1.58503	−	0.424708i
$896$	−1.92202	+	1.76658i	−0.0642103	+	0.0590173i
$897$	−3.61786	−	23.3884i	−0.120797	−	0.780917i
$898$	−15.2680	+	26.4450i	−0.509500	+	0.882480i
$899$	2.85183	−	0.764145i	0.0951138	−	0.0254857i
$900$	−5.44099	+	9.42407i	−0.181366	+	0.314136i
$901$	−2.44543	−	4.23561i	−0.0814690	−	0.141108i
$902$	24.4460	+	24.4460i	0.813964	+	0.813964i
$903$	−13.6544	+	7.13435i	−0.454388	+	0.237416i
$904$	0.319621	−	0.0856423i	0.0106304	−	0.00284842i
$905$	−48.9354	+	13.1122i	−1.62667	+	0.435864i
$906$			69.1894i			2.29866i
$907$	11.2778	+	6.51123i	0.374473	+	0.216202i	0.675411	−	0.737442i	$-0.263966\pi$
$907$	11.2778	+	6.51123i	0.374473	+	0.216202i	−0.300938	+	0.953644i	$0.597300\pi$
$908$	−20.7776	+	20.7776i	−0.689528	+	0.689528i
$909$	15.7285			0.521683
$910$	−62.6840	+	7.00905i	−2.07795	+	0.232348i
$911$	29.0374			0.962053			0.481026	−	0.876706i	$-0.340264\pi$
$911$	29.0374			0.962053			0.481026	+	0.876706i	$0.340264\pi$
$912$	−2.91880	+	2.91880i	−0.0966513	+	0.0966513i
$913$	−26.1539	−	15.1000i	−0.865567	−	0.499735i
$914$			31.3376i			1.03656i
$915$	−4.98293	+	1.33517i	−0.164731	+	0.0441394i
$916$	22.7202	−	6.08787i	0.750698	−	0.201149i
$917$	−24.8328	+	39.1105i	−0.820052	+	1.29154i
$918$	−5.06364	−	5.06364i	−0.167125	−	0.167125i
$919$	7.73929	+	13.4048i	0.255296	+	0.442185i	0.964976	−	0.262339i	$-0.0844939\pi$
$919$	7.73929	+	13.4048i	0.255296	+	0.442185i	−0.709680	+	0.704524i	$0.751161\pi$
$920$	0.920373	−	1.59413i	0.0303438	−	0.0525570i
$921$	6.92979	−	1.85683i	0.228345	−	0.0611847i
$922$	30.9590	−	53.6225i	1.01958	−	1.76596i
$923$	6.63222	+	4.85527i	0.218302	+	0.159813i
$924$	−44.6671	−	14.0090i	−1.46944	−	0.460863i
$925$	14.0968	+	3.77723i	0.463501	+	0.124195i
$926$	11.7223			0.385219
$927$	13.1776			0.432810
$928$	20.7889	+	5.57038i	0.682430	+	0.182857i
$929$	−11.7050	+	43.6835i	−0.384028	+	1.43321i	0.455666	+	0.890151i	$0.349401\pi$
$929$	−11.7050	+	43.6835i	−0.384028	+	1.43321i	−0.839694	+	0.543060i	$0.817266\pi$
$930$	−2.72945	−	10.1865i	−0.0895023	−	0.334027i
$931$	1.75236	−	4.86041i	0.0574314	−	0.159293i
$932$	22.5568	−	39.0695i	0.738871	−	1.27976i
$933$		−	26.5148i		−	0.868055i
$934$	4.25869	+	15.8937i	0.139349	+	0.520057i
$935$	10.6196	−	6.13122i	0.347298	−	0.200512i
$936$	−0.164373	−	0.372805i	−0.00537271	−	0.0121855i
$937$			26.8615i			0.877526i	0.898603	+	0.438763i	$0.144583\pi$
$937$			26.8615i			0.877526i	−0.898603	+	0.438763i	$0.855417\pi$
$938$	−15.4238	+	24.2917i	−0.503604	+	0.793153i
$939$	6.48978	+	11.2406i	0.211786	+	0.366824i
$940$	−43.0990	+	24.8832i	−1.40574	+	0.811602i
$941$	0.376369	−	1.40463i	0.0122693	−	0.0457896i	−0.959520	−	0.281641i	$-0.909121\pi$
$941$	0.376369	−	1.40463i	0.0122693	−	0.0457896i	0.971789	+	0.235852i	$0.0757879\pi$
$942$	−15.6529	+	15.6529i	−0.509998	+	0.509998i
$943$	12.6712	+	3.39524i	0.412631	+	0.110564i
$944$	2.60868	−	2.60868i	0.0849054	−	0.0849054i
$945$	47.8938	−	10.6940i	1.55799	−	0.347877i
$946$	41.8539	−	24.1644i	1.36079	−	0.785652i
$947$	−27.4153	−	27.4153i	−0.890878	−	0.890878i	0.103727	−	0.994606i	$-0.466923\pi$
$947$	−27.4153	−	27.4153i	−0.890878	−	0.890878i	−0.994606	+	0.103727i	$0.966923\pi$
$948$	18.1016	+	31.3529i	0.587912	+	1.01829i
$949$	−20.3056	+	8.95293i	−0.659147	+	0.290624i
$950$	−7.42616	−	4.28749i	−0.240936	−	0.139105i
$951$	−5.38322	+	20.0904i	−0.174563	+	0.651477i
$952$	0.151088	−	0.138869i	0.00489680	−	0.00450078i
$953$	20.6259	+	11.9084i	0.668138	+	0.385750i	0.795371	−	0.606123i	$-0.207276\pi$
$953$	20.6259	+	11.9084i	0.668138	+	0.385750i	−0.127233	+	0.991873i	$0.540609\pi$
$954$	3.71654	+	13.8703i	0.120327	+	0.449068i
$955$	39.7996	+	39.7996i	1.28789	+	1.28789i
$956$	−7.81297	−	7.81297i	−0.252690	−	0.252690i
$957$	5.93729	+	22.1583i	0.191925	+	0.716275i
$958$	−63.7962	−	36.8327i	−2.06116	−	1.19001i
$959$	−28.5558	+	26.2463i	−0.922114	+	0.847538i
$960$	10.3987	−	38.8084i	0.335616	−	1.25254i
$961$	25.7898	+	14.8897i	0.831929	+	0.480314i
$962$	−14.3368	+	11.5243i	−0.462237	+	0.371557i
$963$	−1.42893	−	2.47499i	−0.0460468	−	0.0797553i
$964$	22.7543	+	22.7543i	0.732868	+	0.732868i
$965$	17.4255	−	10.0606i	0.560946	−	0.323862i
$966$	−34.1568	+	7.62676i	−1.09898	+	0.245387i
$967$	5.04001	−	5.04001i	0.162076	−	0.162076i	−0.621410	−	0.783486i	$-0.713440\pi$
$967$	5.04001	−	5.04001i	0.162076	−	0.162076i	0.783486	+	0.621410i	$0.213440\pi$
$968$	2.90263	+	0.777758i	0.0932941	+	0.0249981i
$969$	0.473618	−	0.473618i	0.0152148	−	0.0152148i
$970$	−14.9137	+	55.6587i	−0.478850	+	1.78709i
$971$	14.4726	−	8.35573i	0.464446	−	0.268148i	−0.249466	−	0.968384i	$-0.580255\pi$
$971$	14.4726	−	8.35573i	0.464446	−	0.268148i	0.713912	+	0.700235i	$0.246922\pi$
$972$	9.42319	+	16.3214i	0.302249	+	0.523510i
$973$	−5.08395	+	8.00698i	−0.162984	+	0.256692i
$974$			33.9484i			1.08778i
$975$	23.3886	−	18.8003i	0.749036	−	0.602093i
$976$	−3.65367	+	2.10945i	−0.116951	+	0.0675218i
$977$	−12.7436	−	47.5599i	−0.407705	−	1.52157i	−0.799012	−	0.601315i	$-0.794644\pi$
$977$	−12.7436	−	47.5599i	−0.407705	−	1.52157i	0.391308	−	0.920260i	$-0.372023\pi$
$978$		−	7.48280i		−	0.239273i
$979$	12.1429	−	21.0321i	0.388088	−	0.672188i
$980$	8.36194	+	46.5958i	0.267112	+	1.48845i
$981$	2.25189	+	8.40415i	0.0718972	+	0.268324i
$982$	−5.10747	+	19.0613i	−0.162986	+	0.608272i
$983$	−34.1190	−	9.14216i	−1.08823	−	0.291590i	−0.330265	−	0.943888i	$-0.607138\pi$
$983$	−34.1190	−	9.14216i	−1.08823	−	0.291590i	−0.757962	+	0.652298i	$0.773805\pi$
$984$	−0.513986			−0.0163853
$985$	84.2071			2.68306
$986$	−3.26993	−	0.876175i	−0.104136	−	0.0279031i
$987$	26.8196	+	8.41150i	0.853679	+	0.267741i
$988$	5.01920	−	2.21301i	0.159682	−	0.0704054i
$989$	9.16909	−	15.8813i	0.291560	−	0.504997i
$990$	−34.7759	+	9.31818i	−1.10525	+	0.296151i
$991$	−3.41914	+	5.92212i	−0.108613	+	0.188122i	−0.915208	−	0.402981i	$-0.867974\pi$
$991$	−3.41914	+	5.92212i	−0.108613	+	0.188122i	0.806596	+	0.591103i	$0.201307\pi$
$992$	−4.44861	−	7.70522i	−0.141243	−	0.244641i
$993$	−8.35456	−	8.35456i	−0.265124	−	0.265124i
$994$	6.51526	−	10.2612i	0.206651	−	0.325466i
$995$	27.6588	−	7.41114i	0.876842	−	0.234949i
$996$	14.5994	−	3.91190i	0.462600	−	0.123953i
$997$			49.4814i			1.56709i	0.621335	+	0.783545i	$0.286591\pi$
$997$			49.4814i			1.56709i	−0.621335	+	0.783545i	$0.713409\pi$
$998$	5.14285	+	2.96923i	0.162794	+	0.0939892i
$999$	10.1195	−	10.1195i	0.320167	−	0.320167i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.ba.a.54.2	yes	28
3.2	odd	2		819.2.et.b.145.6		28
7.2	even	3		637.2.bd.b.587.6		28
7.3	odd	6		91.2.w.a.80.2	yes	28
7.4	even	3		637.2.x.a.80.2		28
7.5	odd	6		637.2.bd.a.587.6		28
7.6	odd	2		637.2.bb.a.509.2		28
13.7	odd	12		91.2.w.a.33.2	✓	28
21.17	even	6		819.2.gh.b.262.6		28
39.20	even	12		819.2.gh.b.397.6		28
91.20	even	12		637.2.x.a.215.2		28
91.33	even	12		637.2.bd.b.293.6		28
91.46	odd	12		637.2.bb.a.423.2		28
91.59	even	12	inner	91.2.ba.a.59.2	yes	28
91.72	odd	12		637.2.bd.a.293.6		28
273.59	odd	12		819.2.et.b.514.6		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.2	✓	28	13.7	odd	12
91.2.w.a.80.2	yes	28	7.3	odd	6
91.2.ba.a.54.2	yes	28	1.1	even	1	trivial
91.2.ba.a.59.2	yes	28	91.59	even	12	inner
637.2.x.a.80.2		28	7.4	even	3
637.2.x.a.215.2		28	91.20	even	12
637.2.bb.a.423.2		28	91.46	odd	12
637.2.bb.a.509.2		28	7.6	odd	2
637.2.bd.a.293.6		28	91.72	odd	12
637.2.bd.a.587.6		28	7.5	odd	6
637.2.bd.b.293.6		28	91.33	even	12
637.2.bd.b.587.6		28	7.2	even	3
819.2.et.b.145.6		28	3.2	odd	2
819.2.et.b.514.6		28	273.59	odd	12
819.2.gh.b.262.6		28	21.17	even	6
819.2.gh.b.397.6		28	39.20	even	12

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:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.ba (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.42500 + 1.42500i) q^{2} +(1.25027 + 0.721843i) q^{3} -2.06123i q^{4} +(3.16920 - 0.849184i) q^{5} +(-2.81025 + 0.753004i) q^{6} +(-0.111396 + 2.64341i) q^{7} +(0.0872533 + 0.0872533i) q^{8} +(-0.457887 - 0.793083i) q^{9} +O(q^{10})\)	\(q+(-1.42500 + 1.42500i) q^{2} +(1.25027 + 0.721843i) q^{3} -2.06123i q^{4} +(3.16920 - 0.849184i) q^{5} +(-2.81025 + 0.753004i) q^{6} +(-0.111396 + 2.64341i) q^{7} +(0.0872533 + 0.0872533i) q^{8} +(-0.457887 - 0.793083i) q^{9} +(-3.30601 + 5.72618i) q^{10} +(-5.74323 + 1.53889i) q^{11} +(1.48788 - 2.57709i) q^{12} +(2.81021 - 2.25892i) q^{13} +(-3.60810 - 3.92558i) q^{14} +(4.57532 + 1.22595i) q^{15} +3.87379 q^{16} -0.628578 q^{17} +(1.78263 + 0.477654i) q^{18} +(-0.191033 + 0.712944i) q^{19} +(-1.75036 - 6.53244i) q^{20} +(-2.04740 + 3.22455i) q^{21} +(5.99117 - 10.3770i) q^{22} -4.54665i q^{23} +(0.0461069 + 0.172073i) q^{24} +(4.99256 - 2.88246i) q^{25} +(-0.785596 + 7.22349i) q^{26} -5.65314i q^{27} +(5.44867 + 0.229614i) q^{28} +(-1.33622 - 2.31439i) q^{29} +(-8.26680 + 4.77284i) q^{30} +(-0.285936 + 1.06713i) q^{31} +(-5.69464 + 5.69464i) q^{32} +(-8.29142 - 2.22168i) q^{33} +(0.895721 - 0.895721i) q^{34} +(1.89170 + 8.47207i) q^{35} +(-1.63473 + 0.943810i) q^{36} +(1.79007 + 1.79007i) q^{37} +(-0.743721 - 1.28816i) q^{38} +(5.14410 - 0.795719i) q^{39} +(0.350617 + 0.202429i) q^{40} +(-0.746755 + 2.78693i) q^{41} +(-1.67744 - 7.51251i) q^{42} +(3.49297 + 2.01667i) q^{43} +(3.17202 + 11.8381i) q^{44} +(-2.12461 - 2.12461i) q^{45} +(6.47896 + 6.47896i) q^{46} +(-1.90459 - 7.10802i) q^{47} +(4.84328 + 2.79627i) q^{48} +(-6.97518 - 0.588931i) q^{49} +(-3.00689 + 11.2219i) q^{50} +(-0.785891 - 0.453734i) q^{51} +(-4.65615 - 5.79250i) q^{52} +(3.89042 + 6.73840i) q^{53} +(8.05571 + 8.05571i) q^{54} +(-16.8946 + 9.75412i) q^{55} +(-0.240366 + 0.220926i) q^{56} +(-0.753475 + 0.753475i) q^{57} +(5.20211 + 1.39390i) q^{58} +(0.673419 - 0.673419i) q^{59} +(2.52697 - 9.43079i) q^{60} +(-0.943178 + 0.544544i) q^{61} +(-1.11320 - 1.92811i) q^{62} +(2.14745 - 1.12203i) q^{63} -8.48212i q^{64} +(6.98788 - 9.54534i) q^{65} +(14.9811 - 8.64936i) q^{66} +(-1.39678 - 5.21286i) q^{67} +1.29564i q^{68} +(3.28197 - 5.68453i) q^{69} +(-14.7683 - 9.37700i) q^{70} +(0.590023 + 2.20200i) q^{71} +(0.0292470 - 0.109151i) q^{72} +(-5.94515 - 1.59300i) q^{73} -5.10168 q^{74} +8.32273 q^{75} +(1.46954 + 0.393762i) q^{76} +(-3.42815 - 15.3531i) q^{77} +(-6.19643 + 8.46422i) q^{78} +(-6.08299 + 10.5361i) q^{79} +(12.2768 - 3.28956i) q^{80} +(2.70702 - 4.68870i) q^{81} +(-2.90724 - 5.03549i) q^{82} +(3.59152 + 3.59152i) q^{83} +(6.64655 + 4.22016i) q^{84} +(-1.99209 + 0.533778i) q^{85} +(-7.85121 + 2.10373i) q^{86} -3.85815i q^{87} +(-0.635390 - 0.366843i) q^{88} +(-2.88817 + 2.88817i) q^{89} +6.05511 q^{90} +(5.65818 + 7.68017i) q^{91} -9.37170 q^{92} +(-1.12779 + 1.12779i) q^{93} +(12.8429 + 7.41487i) q^{94} +2.42168i q^{95} +(-11.2305 + 3.00919i) q^{96} +(8.41780 - 2.25554i) q^{97} +(10.7788 - 9.10038i) q^{98} +(3.85022 + 3.85022i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

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