LMFDB - Embedded newform 418.2.q.a.109.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(21,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 1]))

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

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

chi := DirichletCharacter("418.21");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.q (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			109.9
Character	$\chi$	$=$	418.109
Dual form			418.2.q.a.395.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(2.01819 + 0.355861i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.40938 + 1.18261i) q^{5} +(2.01819 - 0.355861i) q^{6} +(-2.85785 + 1.64998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.12738 + 0.410331i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(2.01819 + 0.355861i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.40938 + 1.18261i) q^{5} +(2.01819 - 0.355861i) q^{6} +(-2.85785 + 1.64998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.12738 + 0.410331i) q^{9} +(1.72887 + 0.629256i) q^{10} +(1.98564 - 2.65654i) q^{11} +(1.77477 - 1.02466i) q^{12} +(0.216459 + 1.22760i) q^{13} +(-2.12118 + 2.52792i) q^{14} +(2.42356 + 2.88829i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.511185 - 1.40447i) q^{17} +1.19973 q^{18} +(4.34995 - 0.279109i) q^{19} +1.83982 q^{20} +(-6.35486 + 2.31298i) q^{21} +(0.957300 - 3.17546i) q^{22} +(-4.54302 + 3.81204i) q^{23} +(1.31728 - 1.56987i) q^{24} +(-0.280452 - 1.59052i) q^{25} +(0.623269 + 1.07953i) q^{26} +(-3.19506 - 1.84467i) q^{27} +(-1.12865 + 3.10095i) q^{28} +(-4.44338 - 1.61726i) q^{29} +(3.26525 + 1.88520i) q^{30} +(-2.54023 + 1.46660i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(4.95276 - 4.65480i) q^{33} +(-0.960713 - 1.14493i) q^{34} +(-5.97911 - 1.05428i) q^{35} +(1.12738 - 0.410331i) q^{36} +2.25507i q^{37} +(3.99216 - 1.75005i) q^{38} +2.55456i q^{39} +(1.72887 - 0.629256i) q^{40} +(1.99738 - 11.3277i) q^{41} +(-5.18053 + 4.34698i) q^{42} +(-2.12683 + 2.53466i) q^{43} +(-0.186505 - 3.31138i) q^{44} +(1.10364 + 1.91157i) q^{45} +(-2.96524 + 5.13595i) q^{46} +(-4.65803 - 1.69538i) q^{47} +(0.700910 - 1.92573i) q^{48} +(1.94488 - 3.36864i) q^{49} +(-0.807529 - 1.39868i) q^{50} +(-0.531872 - 3.01640i) q^{51} +(0.954904 + 0.801260i) q^{52} +(3.14594 + 3.74919i) q^{53} +(-3.63329 - 0.640647i) q^{54} +(5.94020 - 1.39585i) q^{55} +3.29996i q^{56} +(8.87836 + 0.984686i) q^{57} -4.72855 q^{58} +(3.65817 + 10.0507i) q^{59} +(3.71311 + 0.654721i) q^{60} +(-0.324086 - 0.386231i) q^{61} +(-1.88543 + 2.24697i) q^{62} +(-3.89892 + 0.687484i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.14670 + 1.98615i) q^{65} +(3.06204 - 6.06803i) q^{66} +(-0.565853 + 1.55467i) q^{67} +(-1.29437 - 0.747302i) q^{68} +(-10.5252 + 6.07674i) q^{69} +(-5.97911 + 1.05428i) q^{70} +(7.82540 - 9.32595i) q^{71} +(0.919046 - 0.771171i) q^{72} +(1.55443 + 0.274087i) q^{73} +(0.771281 + 2.11908i) q^{74} -3.30978i q^{75} +(3.15285 - 3.00991i) q^{76} +(-1.29142 + 10.8683i) q^{77} +(0.873712 + 2.40050i) q^{78} +(0.652177 - 3.69868i) q^{79} +(1.40938 - 1.18261i) q^{80} +(-8.54893 - 7.17341i) q^{81} +(-1.99738 - 11.3277i) q^{82} +(-5.35400 + 3.09114i) q^{83} +(-3.38135 + 5.85667i) q^{84} +(0.940489 - 2.58397i) q^{85} +(-1.13166 + 3.10922i) q^{86} +(-8.39207 - 4.84516i) q^{87} +(-1.30781 - 3.04789i) q^{88} +(-8.45183 + 1.49029i) q^{89} +(1.69088 + 1.41882i) q^{90} +(-2.64413 - 3.15115i) q^{91} +(-1.02982 + 5.84039i) q^{92} +(-5.64858 + 2.05591i) q^{93} -4.95697 q^{94} +(6.46084 + 4.75095i) q^{95} -2.04932i q^{96} +(-1.38580 - 3.80746i) q^{97} +(0.675451 - 3.83067i) q^{98} +(3.32863 - 2.18016i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9}+O(q^{10}) $ 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9	$ 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9} + 3 q^{11} + 6 q^{13} - 12 q^{14} + 24 q^{15} - 6 q^{17} + 60 q^{18} - 30 q^{19} - 12 q^{20} + 12 q^{21} + 12 q^{22} + 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} + 6 q^{28} - 3 q^{29} - 9 q^{31} - 42 q^{33} - 6 q^{34} - 24 q^{35} - 3 q^{36} + 6 q^{38} + 15 q^{41} + 6 q^{42} - 3 q^{43} + 12 q^{44} - 48 q^{45} + 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} + 36 q^{50} - 45 q^{51} - 3 q^{52} + 24 q^{53} - 27 q^{54} + 6 q^{55} + 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} + 54 q^{61} - 66 q^{63} - 30 q^{64} - 63 q^{66} + 9 q^{67} - 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} - 6 q^{72} + 12 q^{74} + 18 q^{77} + 36 q^{79} - 93 q^{81} - 15 q^{82} - 36 q^{83} + 24 q^{84} - 60 q^{85} - 3 q^{86} + 54 q^{87} - 3 q^{88} - 3 q^{89} - 24 q^{90} - 12 q^{91} - 102 q^{93} - 12 q^{94} + 24 q^{95} - 6 q^{97} - 18 q^{98} - 78 q^{99}+O(q^{100}) $ 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9 + 3 * q^11 + 6 * q^13 - 12 * q^14 + 24 * q^15 - 6 * q^17 + 60 * q^18 - 30 * q^19 - 12 * q^20 + 12 * q^21 + 12 * q^22 + 3 * q^24 - 12 * q^25 + 6 * q^26 + 9 * q^27 + 6 * q^28 - 3 * q^29 - 9 * q^31 - 42 * q^33 - 6 * q^34 - 24 * q^35 - 3 * q^36 + 6 * q^38 + 15 * q^41 + 6 * q^42 - 3 * q^43 + 12 * q^44 - 48 * q^45 + 3 * q^46 + 54 * q^47 - 6 * q^48 + 6 * q^49 + 36 * q^50 - 45 * q^51 - 3 * q^52 + 24 * q^53 - 27 * q^54 + 6 * q^55 + 30 * q^57 + 24 * q^58 - 39 * q^59 + 12 * q^60 + 54 * q^61 - 66 * q^63 - 30 * q^64 - 63 * q^66 + 9 * q^67 - 27 * q^68 + 54 * q^69 - 24 * q^70 - 33 * q^71 - 6 * q^72 + 12 * q^74 + 18 * q^77 + 36 * q^79 - 93 * q^81 - 15 * q^82 - 36 * q^83 + 24 * q^84 - 60 * q^85 - 3 * q^86 + 54 * q^87 - 3 * q^88 - 3 * q^89 - 24 * q^90 - 12 * q^91 - 102 * q^93 - 12 * q^94 + 24 * q^95 - 6 * q^97 - 18 * q^98 - 78 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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 $

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	2.01819	+	0.355861i	1.16520	+	0.205457i	0.722603	−	0.691263i	$-0.242945\pi$
$3$	2.01819	+	0.355861i	1.16520	+	0.205457i	0.442599	+	0.896720i	$0.354056\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	1.40938	+	1.18261i	0.630296	+	0.528881i	0.901021	−	0.433776i	$-0.142819\pi$
$5$	1.40938	+	1.18261i	0.630296	+	0.528881i	−0.270725	+	0.962657i	$0.587263\pi$
$6$	2.01819	−	0.355861i	0.823923	−	0.145280i
$7$	−2.85785	+	1.64998i	−1.08017	+	0.623635i	−0.930941	−	0.365168i	$-0.881011\pi$
$7$	−2.85785	+	1.64998i	−1.08017	+	0.623635i	−0.149226	+	0.988803i	$0.547678\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	1.12738	+	0.410331i	0.375792	+	0.136777i
$10$	1.72887	+	0.629256i	0.546716	+	0.198988i
$11$	1.98564	−	2.65654i	0.598693	−	0.800978i
$11$	1.98564	−	2.65654i	0.598693	−	0.800978i
$12$	1.77477	−	1.02466i	0.512331	−	0.295794i
$13$	0.216459	+	1.22760i	0.0600350	+	0.340475i	1.00000		0.000796413i	$-0.000253506\pi$
$13$	0.216459	+	1.22760i	0.0600350	+	0.340475i	−0.939965	+	0.341272i	$0.889142\pi$
$14$	−2.12118	+	2.52792i	−0.566908	+	0.675615i
$15$	2.42356	+	2.88829i	0.625760	+	0.745752i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−0.511185	−	1.40447i	−0.123981	−	0.340634i	0.862139	−	0.506672i	$-0.169125\pi$
$17$	−0.511185	−	1.40447i	−0.123981	−	0.340634i	−0.986119	+	0.166039i	$0.946902\pi$
$18$	1.19973			0.282779
$19$	4.34995	−	0.279109i	0.997948	−	0.0640320i
$19$	4.34995	−	0.279109i	0.997948	−	0.0640320i
$20$	1.83982			0.411397
$21$	−6.35486	+	2.31298i	−1.38674	+	0.504733i
$22$	0.957300	−	3.17546i	0.204097	−	0.677011i
$23$	−4.54302	+	3.81204i	−0.947284	+	0.794866i	−0.978838	−	0.204636i	$-0.934399\pi$
$23$	−4.54302	+	3.81204i	−0.947284	+	0.794866i	0.0315537	+	0.999502i	$0.489954\pi$
$24$	1.31728	−	1.56987i	0.268889	−	0.320449i
$25$	−0.280452	−	1.59052i	−0.0560904	−	0.318104i
$26$	0.623269	+	1.07953i	0.122233	+	0.211714i
$27$	−3.19506	−	1.84467i	−0.614890	−	0.355007i
$28$	−1.12865	+	3.10095i	−0.213296	+	0.586025i
$29$	−4.44338	−	1.61726i	−0.825115	−	0.300317i	−0.105263	−	0.994444i	$-0.533568\pi$
$29$	−4.44338	−	1.61726i	−0.825115	−	0.300317i	−0.719852	+	0.694127i	$0.755791\pi$
$30$	3.26525	+	1.88520i	0.596151	+	0.344188i
$31$	−2.54023	+	1.46660i	−0.456239	+	0.263410i	−0.710462	−	0.703736i	$-0.751514\pi$
$31$	−2.54023	+	1.46660i	−0.456239	+	0.263410i	0.254222	+	0.967146i	$0.418180\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	4.95276	−	4.65480i	0.862165	−	0.810297i
$34$	−0.960713	−	1.14493i	−0.164761	−	0.196354i
$35$	−5.97911	−	1.05428i	−1.01065	−	0.178206i
$36$	1.12738	−	0.410331i	0.187896	−	0.0683886i
$37$			2.25507i			0.370732i	0.982670	+	0.185366i	$0.0593470\pi$
$37$			2.25507i			0.370732i	−0.982670	+	0.185366i	$0.940653\pi$
$38$	3.99216	−	1.75005i	0.647614	−	0.283895i
$39$			2.55456i			0.409057i
$40$	1.72887	−	0.629256i	0.273358	−	0.0994941i
$41$	1.99738	−	11.3277i	0.311938	−	1.76909i	−0.276961	−	0.960881i	$-0.589327\pi$
$41$	1.99738	−	11.3277i	0.311938	−	1.76909i	0.588899	−	0.808206i	$-0.299561\pi$
$42$	−5.18053	+	4.34698i	−0.799373	+	0.670753i
$43$	−2.12683	+	2.53466i	−0.324338	+	0.386531i	−0.903433	−	0.428729i	$-0.858962\pi$
$43$	−2.12683	+	2.53466i	−0.324338	+	0.386531i	0.579095	+	0.815260i	$0.303406\pi$
$44$	−0.186505	−	3.31138i	−0.0281167	−	0.499209i
$45$	1.10364	+	1.91157i	0.164521	+	0.284960i
$46$	−2.96524	+	5.13595i	−0.437201	+	0.757255i
$47$	−4.65803	−	1.69538i	−0.679443	−	0.247297i	−0.0208346	−	0.999783i	$-0.506632\pi$
$47$	−4.65803	−	1.69538i	−0.679443	−	0.247297i	−0.658608	+	0.752486i	$0.728855\pi$
$48$	0.700910	−	1.92573i	0.101168	−	0.277956i
$49$	1.94488	−	3.36864i	0.277841	−	0.481234i
$50$	−0.807529	−	1.39868i	−0.114202	−	0.197803i
$51$	−0.531872	−	3.01640i	−0.0744770	−	0.422380i
$52$	0.954904	+	0.801260i	0.132421	+	0.111115i
$53$	3.14594	+	3.74919i	0.432128	+	0.514990i	0.937535	−	0.347891i	$-0.113102\pi$
$53$	3.14594	+	3.74919i	0.432128	+	0.514990i	−0.505407	+	0.862881i	$0.668658\pi$
$54$	−3.63329	−	0.640647i	−0.494428	−	0.0871810i
$55$	5.94020	−	1.39585i	0.800976	−	0.188216i
$56$			3.29996i			0.440976i
$57$	8.87836	+	0.984686i	1.17597	+	0.130425i
$58$	−4.72855			−0.620889
$59$	3.65817	+	10.0507i	0.476253	+	1.30849i	0.912651	+	0.408741i	$0.134032\pi$
$59$	3.65817	+	10.0507i	0.476253	+	1.30849i	−0.436397	+	0.899754i	$0.643746\pi$
$60$	3.71311	+	0.654721i	0.479360	+	0.0845242i
$61$	−0.324086	−	0.386231i	−0.0414950	−	0.0494518i	0.744898	−	0.667179i	$-0.232498\pi$
$61$	−0.324086	−	0.386231i	−0.0414950	−	0.0494518i	−0.786393	+	0.617727i	$0.788054\pi$
$62$	−1.88543	+	2.24697i	−0.239450	+	0.285365i
$63$	−3.89892	+	0.687484i	−0.491217	+	0.0866149i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−1.14670	+	1.98615i	−0.142231	+	0.246352i
$66$	3.06204	−	6.06803i	0.376911	−	0.746922i
$67$	−0.565853	+	1.55467i	−0.0691299	+	0.189933i	−0.969447	−	0.245303i	$-0.921113\pi$
$67$	−0.565853	+	1.55467i	−0.0691299	+	0.189933i	0.900317	+	0.435236i	$0.143335\pi$
$68$	−1.29437	−	0.747302i	−0.156965	−	0.0906237i
$69$	−10.5252	+	6.07674i	−1.26709	+	0.731554i
$70$	−5.97911	+	1.05428i	−0.714640	+	0.126010i
$71$	7.82540	−	9.32595i	0.928704	−	1.10679i	−0.0653460	−	0.997863i	$-0.520815\pi$
$71$	7.82540	−	9.32595i	0.928704	−	1.10679i	0.994050	−	0.108924i	$-0.0347405\pi$
$72$	0.919046	−	0.771171i	0.108311	−	0.0908834i
$73$	1.55443	+	0.274087i	0.181932	+	0.0320795i	0.263872	−	0.964558i	$-0.415000\pi$
$73$	1.55443	+	0.274087i	0.181932	+	0.0320795i	−0.0819399	+	0.996637i	$0.526112\pi$
$74$	0.771281	+	2.11908i	0.0896596	+	0.246338i
$75$		−	3.30978i		−	0.382180i
$76$	3.15285	−	3.00991i	0.361657	−	0.345260i
$77$	−1.29142	+	10.8683i	−0.147171	+	1.23856i
$78$	0.873712	+	2.40050i	0.0989284	+	0.271803i
$79$	0.652177	−	3.69868i	0.0733757	−	0.416134i	−0.925889	−	0.377795i	$-0.876682\pi$
$79$	0.652177	−	3.69868i	0.0733757	−	0.416134i	0.999265	−	0.0383388i	$-0.0122066\pi$
$80$	1.40938	−	1.18261i	0.157574	−	0.132220i
$81$	−8.54893	−	7.17341i	−0.949881	−	0.797045i
$82$	−1.99738	−	11.3277i	−0.220573	−	1.25093i
$83$	−5.35400	+	3.09114i	−0.587678	+	0.339296i	−0.764179	−	0.645004i	$-0.776856\pi$
$83$	−5.35400	+	3.09114i	−0.587678	+	0.339296i	0.176501	+	0.984301i	$0.443522\pi$
$84$	−3.38135	+	5.85667i	−0.368935	+	0.639015i
$85$	0.940489	−	2.58397i	0.102010	−	0.280271i
$86$	−1.13166	+	3.10922i	−0.122030	+	0.335275i
$87$	−8.39207	−	4.84516i	−0.899724	−	0.519456i
$88$	−1.30781	−	3.04789i	−0.139414	−	0.324906i
$89$	−8.45183	+	1.49029i	−0.895892	+	0.157970i	−0.602591	−	0.798050i	$-0.705865\pi$
$89$	−8.45183	+	1.49029i	−0.895892	+	0.157970i	−0.293301	+	0.956020i	$0.594754\pi$
$90$	1.69088	+	1.41882i	0.178234	+	0.149556i
$91$	−2.64413	−	3.15115i	−0.277180	−	0.330330i
$92$	−1.02982	+	5.84039i	−0.107366	+	0.608903i
$93$	−5.64858	+	2.05591i	−0.585730	+	0.213188i
$94$	−4.95697			−0.511272
$95$	6.46084	+	4.75095i	0.662868	+	0.487437i
$96$		−	2.04932i		−	0.209158i
$97$	−1.38580	−	3.80746i	−0.140707	−	0.386589i	0.849244	−	0.528001i	$-0.177058\pi$
$97$	−1.38580	−	3.80746i	−0.140707	−	0.386589i	−0.989951	+	0.141411i	$0.954836\pi$
$98$	0.675451	−	3.83067i	0.0682309	−	0.386957i
$99$	3.32863	−	2.18016i	0.334540	−	0.219114i
$100$	−1.23721	−	1.03814i	−0.123721	−	0.103814i
$101$	14.0328	−	2.47436i	1.39632	−	0.246208i	0.575688	−	0.817670i	$-0.304734\pi$
$101$	14.0328	−	2.47436i	1.39632	−	0.246208i	0.820629	+	0.571461i	$0.193623\pi$
$102$	−1.53146	−	2.65257i	−0.151638	−	0.262644i
$103$	−9.53734	−	5.50638i	−0.939742	−	0.542560i	−0.0498623	−	0.998756i	$-0.515878\pi$
$103$	−9.53734	−	5.50638i	−0.939742	−	0.542560i	−0.889879	+	0.456196i	$0.849212\pi$
$104$	1.17136	+	0.426341i	0.114862	+	0.0418062i
$105$	−11.6918	−	4.25547i	−1.14100	−	0.415291i
$106$	4.23851	+	2.44711i	0.411681	+	0.237684i
$107$	3.39131	+	5.87392i	0.327850	+	0.567854i	0.982085	−	0.188438i	$-0.0603425\pi$
$107$	3.39131	+	5.87392i	0.327850	+	0.567854i	−0.654235	+	0.756292i	$0.727009\pi$
$108$	−3.63329	+	0.640647i	−0.349613	+	0.0616463i
$109$	12.2522	+	10.2809i	1.17355	+	0.984728i	1.00000		9.69642e-5i	$-3.08647e-5\pi$
$109$	12.2522	+	10.2809i	1.17355	+	0.984728i	0.173553	+	0.984825i	$0.444475\pi$
$110$	5.10455	−	3.34334i	0.486700	−	0.318774i
$111$	−0.802494	+	4.55117i	−0.0761693	+	0.431978i
$112$	1.12865	+	3.10095i	0.106648	+	0.293012i
$113$			19.0426i			1.79138i	0.444678	+	0.895690i	$0.353318\pi$
$113$			19.0426i			1.79138i	−0.444678	+	0.895690i	$0.646682\pi$
$114$	8.67971	−	2.11128i	0.812929	−	0.197739i
$115$	−10.9110			−1.01746
$116$	−4.44338	+	1.61726i	−0.412558	+	0.150159i
$117$	−0.259692	+	1.47279i	−0.0240086	+	0.136159i
$118$	6.87511	+	8.19344i	0.632905	+	0.754267i
$119$	3.77824	+	3.17032i	0.346351	+	0.290623i
$120$	3.71311	−	0.654721i	0.338959	−	0.0597676i
$121$	−3.11446	−	10.5499i	−0.283133	−	0.959081i
$122$	−0.436640	−	0.252094i	−0.0395316	−	0.0228236i
$123$	8.06217	−	22.1506i	0.726942	−	1.99726i
$124$	−1.00322	+	2.75631i	−0.0900915	+	0.247524i
$125$	6.08526	−	10.5400i	0.544282	−	0.942725i
$126$	−3.42865	+	1.97953i	−0.305448	+	0.176351i
$127$	2.32453	+	13.1831i	0.206269	+	1.16981i	0.895431	+	0.445201i	$0.146868\pi$
$127$	2.32453	+	13.1831i	0.206269	+	1.16981i	−0.689162	+	0.724607i	$0.742021\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	−5.19433	+	4.35856i	−0.457335	+	0.383750i
$130$	−0.398246	+	2.25857i	−0.0349285	+	0.198089i
$131$	3.93450	+	10.8100i	0.343759	+	0.944470i	0.984293	+	0.176541i	$0.0564907\pi$
$131$	3.93450	+	10.8100i	0.343759	+	0.944470i	−0.640534	+	0.767930i	$0.721287\pi$
$132$	0.801989	−	6.74936i	0.0698041	−	0.587456i
$133$	−11.9710	+	7.97500i	−1.03802	+	0.691520i
$134$			1.65444i			0.142922i
$135$	−2.32154	−	6.37837i	−0.199806	−	0.548963i
$136$	−1.47190	−	0.259535i	−0.126214	−	0.0222550i
$137$	12.3899	−	10.3964i	1.05854	−	0.888224i	0.0645782	−	0.997913i	$-0.479430\pi$
$137$	12.3899	−	10.3964i	1.05854	−	0.888224i	0.993966	+	0.109689i	$0.0349854\pi$
$138$	−7.81211	+	9.31011i	−0.665011	+	0.792529i
$139$	−4.70058	+	0.828840i	−0.398698	+	0.0703013i	−0.369402	−	0.929270i	$-0.620438\pi$
$139$	−4.70058	+	0.828840i	−0.398698	+	0.0703013i	−0.0292958	+	0.999571i	$0.509326\pi$
$140$	−5.25794	+	3.03567i	−0.444377	+	0.256561i
$141$	−8.79746	−	5.07922i	−0.740880	−	0.427747i
$142$	4.16381	−	11.4400i	0.349419	−	0.960021i
$143$	3.69099	+	1.86254i	0.308656	+	0.155754i
$144$	0.599865	−	1.03900i	0.0499887	−	0.0865830i
$145$	−4.34984	−	7.53415i	−0.361235	−	0.625677i
$146$	1.55443	−	0.274087i	0.128645	−	0.0226836i
$147$	5.12391	−	6.10644i	0.422613	−	0.503651i
$148$	1.44953	+	1.72749i	0.119151	+	0.141999i
$149$	1.33422	+	0.235260i	0.109304	+	0.0192732i	0.228033	−	0.973654i	$-0.426771\pi$
$149$	1.33422	+	0.235260i	0.109304	+	0.0192732i	−0.118729	+	0.992927i	$0.537882\pi$
$150$	−1.13201	−	3.11017i	−0.0924282	−	0.253945i
$151$	−18.9956			−1.54584			−0.772920	−	0.634503i	$-0.781205\pi$
$151$	−18.9956			−1.54584			−0.772920	+	0.634503i	$0.781205\pi$
$152$	1.93326	−	3.90672i	0.156808	−	0.316877i
$153$		−	1.79312i		−	0.144965i
$154$	2.50364	+	10.6545i	0.201749	+	0.858567i
$155$	−5.31459	−	0.937106i	−0.426878	−	0.0752701i
$156$	1.64204	+	1.95691i	0.131468	+	0.156678i
$157$	1.47546	+	1.23806i	0.117755	+	0.0988081i	0.699764	−	0.714374i	$-0.253289\pi$
$157$	1.47546	+	1.23806i	0.117755	+	0.0988081i	−0.582009	+	0.813183i	$0.697733\pi$
$158$	−0.652177	−	3.69868i	−0.0518844	−	0.294251i
$159$	5.01492	+	8.68609i	0.397709	+	0.688852i
$160$	0.919911	−	1.59333i	0.0727253	−	0.125964i
$161$	6.69347	−	18.3902i	0.527519	−	1.44935i
$162$	−10.4868	−	3.81689i	−0.823922	−	0.299883i
$163$	−10.4542	+	18.1072i	−0.818837	+	1.41827i	0.0877035	+	0.996147i	$0.472047\pi$
$163$	−10.4542	+	18.1072i	−0.818837	+	1.41827i	−0.906540	+	0.422120i	$0.861286\pi$
$164$	−5.75122	−	9.96140i	−0.449095	−	0.777855i
$165$	12.4852	−	0.703196i	0.971970	−	0.0547438i
$166$	−3.97389	+	4.73589i	−0.308433	+	0.367577i
$167$	−5.25180	+	4.40679i	−0.406397	+	0.341007i	−0.822960	−	0.568099i	$-0.807679\pi$
$167$	−5.25180	+	4.40679i	−0.406397	+	0.341007i	0.416563	+	0.909107i	$0.363234\pi$
$168$	−1.17433	+	6.65996i	−0.0906015	+	0.513827i
$169$	10.7559	−	3.91481i	0.827373	−	0.301139i
$170$		−	2.74981i		−	0.210900i
$171$	5.01856	+	1.47026i	0.383779	+	0.112434i
$172$			3.30876i			0.252290i
$173$	5.46885	−	1.99050i	0.415789	−	0.151335i	−0.125650	−	0.992075i	$-0.540102\pi$
$173$	5.46885	−	1.99050i	0.415789	−	0.151335i	0.541439	+	0.840740i	$0.317880\pi$
$174$	−9.54311	−	1.68271i	−0.723461	−	0.127566i
$175$	3.42582	+	4.08274i	0.258968	+	0.308626i
$176$	−2.27138	−	2.41678i	−0.171212	−	0.182172i
$177$	3.80621	+	21.5861i	0.286092	+	1.62251i
$178$	−7.43242	+	4.29111i	−0.557083	+	0.321632i
$179$	19.4095	+	11.2061i	1.45073	+	0.837581i	0.998523	−	0.0543305i	$-0.0173025\pi$
$179$	19.4095	+	11.2061i	1.45073	+	0.837581i	0.452210	+	0.891912i	$0.350636\pi$
$180$	2.07417	+	0.754937i	0.154600	+	0.0562697i
$181$	2.41620	−	6.63846i	0.179595	−	0.493433i	−0.816929	−	0.576738i	$-0.804325\pi$
$181$	2.41620	−	6.63846i	0.179595	−	0.493433i	0.996524	+	0.0833049i	$0.0265475\pi$
$182$	−3.56242	−	2.05677i	−0.264064	−	0.152458i
$183$	−0.516623	−	0.894817i	−0.0381899	−	0.0661468i
$184$	1.02982	+	5.84039i	0.0759192	+	0.430559i
$185$	−2.66688	+	3.17827i	−0.196073	+	0.233671i
$186$	−4.60476	+	3.86386i	−0.337638	+	0.283312i
$187$	−4.74606	−	1.43079i	−0.347067	−	0.104629i
$188$	−4.65803	+	1.69538i	−0.339721	+	0.123648i
$189$	12.1747			0.885578
$190$	7.69612	+	2.25469i	0.558335	+	0.163573i
$191$	19.2056			1.38967			0.694836	−	0.719169i	$-0.255477\pi$
$191$	19.2056			1.38967			0.694836	+	0.719169i	$0.255477\pi$
$192$	−0.700910	−	1.92573i	−0.0505838	−	0.138978i
$193$	3.66943	−	20.8104i	0.264131	−	1.49796i	−0.507366	−	0.861731i	$-0.669381\pi$
$193$	3.66943	−	20.8104i	0.264131	−	1.49796i	0.771498	−	0.636232i	$-0.219508\pi$
$194$	−2.60446	−	3.10387i	−0.186989	−	0.222845i
$195$	−3.02106	+	3.60036i	−0.216343	+	0.257827i
$196$	−0.675451	−	3.83067i	−0.0482465	−	0.273620i
$197$	−12.5693	+	7.25689i	−0.895526	+	0.517032i	−0.875746	−	0.482772i	$-0.839630\pi$
$197$	−12.5693	+	7.25689i	−0.895526	+	0.517032i	−0.0197799	+	0.999804i	$0.506297\pi$
$198$	2.38223	−	3.18713i	0.169298	−	0.226500i
$199$	−1.78066	−	0.648108i	−0.126228	−	0.0459432i	0.278134	−	0.960542i	$-0.410284\pi$
$199$	−1.78066	−	0.648108i	−0.126228	−	0.0459432i	−0.404362	+	0.914599i	$0.632506\pi$
$200$	−1.51766	−	0.552382i	−0.107315	−	0.0390593i
$201$	−1.69524	+	2.93625i	−0.119573	+	0.207107i
$202$	12.3402	−	7.12464i	0.868257	−	0.501288i
$203$	15.3670	−	2.70961i	1.07855	−	0.190178i
$204$	−2.34634	−	1.96881i	−0.164277	−	0.137844i
$205$	16.2114	−	13.6029i	1.13225	−	0.950071i
$206$	−10.8455	−	1.91235i	−0.755639	−	0.133240i
$207$	−6.68589	+	2.43347i	−0.464702	+	0.169138i
$208$	1.24654			0.0864319
$209$	7.89598	−	12.1101i	0.546176	−	0.837670i
$210$	−12.4422			−0.858590
$211$	−18.8712	+	6.86856i	−1.29915	+	0.472851i	−0.896719	−	0.442600i	$-0.854056\pi$
$211$	−18.8712	+	6.86856i	−1.29915	+	0.472851i	−0.402429	+	0.915451i	$0.631834\pi$
$212$	4.81986	+	0.849872i	0.331029	+	0.0583694i
$213$	19.1119	−	16.0368i	1.30953	−	1.09882i
$214$	5.19579	+	4.35979i	0.355177	+	0.298029i
$215$	−5.99504	+	1.05709i	−0.408858	+	0.0720928i
$216$	−3.19506	+	1.84467i	−0.217396	+	0.125514i
$217$	4.83974	−	8.38268i	0.328543	−	0.569053i
$218$	15.0296	+	5.47033i	1.01793	+	0.370498i
$219$	3.03959	+	1.10632i	0.205397	+	0.0747582i
$220$	3.65322	−	4.88757i	0.246300	−	0.329520i
$221$	1.61348	−	0.931541i	0.108534	−	0.0626622i
$222$	0.802494	+	4.55117i	0.0538598	+	0.305454i
$223$	11.0842	−	13.2096i	0.742252	−	0.884582i	−0.254336	−	0.967116i	$-0.581857\pi$
$223$	11.0842	−	13.2096i	0.742252	−	0.884582i	0.996588	+	0.0825342i	$0.0263014\pi$
$224$	2.12118	+	2.52792i	0.141727	+	0.168904i
$225$	0.336466	−	1.90819i	0.0224311	−	0.127213i
$226$	6.51297	+	17.8942i	0.433236	+	1.19031i
$227$	23.2943			1.54609			0.773047	−	0.634348i	$-0.218732\pi$
$227$	23.2943			1.54609			0.773047	+	0.634348i	$0.218732\pi$
$228$	7.43416	−	4.95259i	0.492339	−	0.327993i
$229$	−0.388763			−0.0256902			−0.0128451	−	0.999917i	$-0.504089\pi$
$229$	−0.388763			−0.0256902			−0.0128451	+	0.999917i	$0.504089\pi$
$230$	−10.2530	+	3.73179i	−0.676064	+	0.246067i
$231$	−6.47393	+	21.4747i	−0.425953	+	1.41293i
$232$	−3.62228	+	3.03945i	−0.237814	+	0.199550i
$233$	15.0477	−	17.9332i	0.985810	−	1.17484i	0.00121406	−	0.999999i	$-0.499614\pi$
$233$	15.0477	−	17.9332i	0.985810	−	1.17484i	0.984596	−	0.174844i	$-0.0559420\pi$
$234$	0.259692	+	1.47279i	0.0169766	+	0.0962792i
$235$	−4.55997	−	7.89809i	−0.297459	−	0.515215i
$236$	9.26281	+	5.34789i	0.602958	+	0.348118i
$237$	2.63244	−	7.23256i	0.170995	−	0.469805i
$238$	4.63470	+	1.68689i	0.300423	+	0.109345i
$239$	16.7861	+	9.69146i	1.08580	+	0.626889i	0.932456	−	0.361284i	$-0.117661\pi$
$239$	16.7861	+	9.69146i	1.08580	+	0.626889i	0.153347	+	0.988172i	$0.450995\pi$
$240$	3.26525	−	1.88520i	0.210771	−	0.121689i
$241$	2.43684	+	13.8200i	0.156971	+	0.890226i	0.956962	+	0.290214i	$0.0937264\pi$
$241$	2.43684	+	13.8200i	0.156971	+	0.890226i	−0.799991	+	0.600012i	$0.795162\pi$
$242$	−6.53491	−	8.84844i	−0.420080	−	0.568799i
$243$	−7.58625	−	9.04094i	−0.486658	−	0.579976i
$244$	−0.496529	−	0.0875515i	−0.0317870	−	0.00560491i
$245$	6.72489	−	2.44766i	0.429637	−	0.156375i
$246$		−	23.5722i		−	1.50291i
$247$	1.28422	+	5.27959i	0.0817131	+	0.335932i
$248$			2.93321i			0.186259i
$249$	−11.9054	+	4.33322i	−0.754475	+	0.274606i
$250$	2.11339	−	11.9856i	0.133662	−	0.758038i
$251$	7.46470	−	6.26362i	0.471167	−	0.395356i	−0.376053	−	0.926598i	$-0.622719\pi$
$251$	7.46470	−	6.26362i	0.471167	−	0.395356i	0.847220	+	0.531242i	$0.178274\pi$
$252$	−2.54484	+	3.03282i	−0.160310	+	0.191050i
$253$	1.10607	+	19.6381i	0.0695377	+	1.23464i
$254$	6.69322	+	11.5930i	0.419970	+	0.727409i
$255$	2.81762	−	4.88026i	0.176446	−	0.305614i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	1.40152	−	3.85066i	0.0874247	−	0.240197i	−0.888274	−	0.459314i	$-0.848095\pi$
$257$	1.40152	−	3.85066i	0.0874247	−	0.240197i	0.975699	+	0.219117i	$0.0703175\pi$
$258$	−3.39036	+	5.87227i	−0.211074	+	0.365592i
$259$	−3.72083	−	6.44467i	−0.231201	−	0.400452i
$260$	0.398246	+	2.25857i	0.0246982	+	0.140070i
$261$	−4.34575	−	3.64652i	−0.268995	−	0.225714i
$262$	7.39445	+	8.81236i	0.456830	+	0.544429i
$263$	−28.1423	−	4.96225i	−1.73533	−	0.305985i	−0.785525	−	0.618830i	$-0.787607\pi$
$263$	−28.1423	−	4.96225i	−1.73533	−	0.305985i	−0.949804	+	0.312844i	$0.898718\pi$
$264$	−1.55479	−	6.61662i	−0.0956909	−	0.407225i
$265$			9.00448i			0.553141i
$266$	−8.52146	+	11.5884i	−0.522484	+	0.710529i
$267$	−17.5877			−1.07635
$268$	0.565853	+	1.55467i	0.0345650	+	0.0949665i
$269$	5.95917	+	1.05076i	0.363337	+	0.0640661i	0.352336	−	0.935873i	$-0.385387\pi$
$269$	5.95917	+	1.05076i	0.363337	+	0.0640661i	0.0110004	+	0.999939i	$0.496498\pi$
$270$	−4.36306	−	5.19970i	−0.265528	−	0.316444i
$271$	−18.2299	+	21.7256i	−1.10739	+	1.31973i	−0.164593	+	0.986362i	$0.552631\pi$
$271$	−18.2299	+	21.7256i	−1.10739	+	1.31973i	−0.942795	+	0.333373i	$0.891813\pi$
$272$	−1.47190	+	0.259535i	−0.0892469	+	0.0157366i
$273$	−4.21498	−	7.30056i	−0.255102	−	0.441850i
$274$	8.08696	−	14.0070i	0.488551	−	0.846195i
$275$	−4.78217	−	2.41317i	−0.288376	−	0.145520i
$276$	−4.15674	+	11.4205i	−0.250206	+	0.687436i
$277$	14.7166	+	8.49664i	0.884236	+	0.510514i	0.872053	−	0.489412i	$-0.162789\pi$
$277$	14.7166	+	8.49664i	0.884236	+	0.510514i	0.0121829	+	0.999926i	$0.496122\pi$
$278$	−4.13362	+	2.38655i	−0.247918	+	0.143136i
$279$	−3.46559	+	0.611077i	−0.207480	+	0.0365842i
$280$	−3.90259	+	4.65092i	−0.233224	+	0.277946i
$281$	2.65045	−	2.22399i	0.158113	−	0.132672i	−0.560299	−	0.828290i	$-0.689314\pi$
$281$	2.65045	−	2.22399i	0.158113	−	0.132672i	0.718412	+	0.695618i	$0.244869\pi$
$282$	−10.0041	−	1.76399i	−0.595736	−	0.105044i
$283$	−0.178959	−	0.491685i	−0.0106380	−	0.0292276i	0.934260	−	0.356593i	$-0.116062\pi$
$283$	−0.178959	−	0.491685i	−0.0106380	−	0.0292276i	−0.944898	+	0.327365i	$0.893839\pi$
$284$		−	12.1742i		−	0.722404i
$285$	11.3485	+	11.8875i	0.672228	+	0.704153i
$286$	4.10542	+	0.487824i	0.242759	+	0.0288456i
$287$	12.9823	+	35.6685i	0.766319	+	2.10545i
$288$	0.208331	−	1.18150i	0.0122760	−	0.0696207i
$289$	11.3115	−	9.49150i	0.665384	−	0.558324i
$290$	−6.66434	−	5.59205i	−0.391344	−	0.328376i
$291$	−1.44189	−	8.17734i	−0.0845248	−	0.479364i
$292$	1.36694	−	0.789203i	0.0799941	−	0.0461846i
$293$	8.22190	−	14.2407i	0.480328	−	0.831953i	−0.519417	−	0.854521i	$-0.673851\pi$
$293$	8.22190	−	14.2407i	0.480328	−	0.831953i	0.999745	+	0.0225679i	$0.00718418\pi$
$294$	2.72638	−	7.49066i	0.159006	−	0.436864i
$295$	−6.73038	+	18.4916i	−0.391858	+	1.07662i
$296$	1.95295	+	1.12754i	0.113513	+	0.0655367i
$297$	−11.2447	+	4.82497i	−0.652483	+	0.279973i
$298$	1.33422	−	0.235260i	0.0772896	−	0.0136282i
$299$	−5.66305	−	4.75186i	−0.327502	−	0.274807i
$300$	−2.12748	−	2.53544i	−0.122830	−	0.146383i
$301$	1.89603	−	10.7529i	0.109285	−	0.619787i
$302$	−17.8500	+	6.49688i	−1.02715	+	0.373853i
$303$	29.2014			1.67758
$304$	0.480493	−	4.33233i	0.0275582	−	0.248476i
$305$		−	0.927617i		−	0.0531152i
$306$	−0.613283	−	1.68498i	−0.0350591	−	0.0963240i
$307$	1.65277	−	9.37334i	0.0943288	−	0.534965i	−0.900622	−	0.434603i	$-0.856889\pi$
$307$	1.65277	−	9.37334i	0.0943288	−	0.534965i	0.994951	−	0.100362i	$-0.0320001\pi$
$308$	5.99672	+	9.15570i	0.341695	+	0.521694i
$309$	−17.2886	−	14.5069i	−0.983517	−	0.825269i
$310$	−5.31459	+	0.937106i	−0.301848	+	0.0532240i
$311$	−9.86247	−	17.0823i	−0.559250	−	0.968649i	−0.997559	−	0.0698247i	$-0.977756\pi$
$311$	−9.86247	−	17.0823i	−0.559250	−	0.968649i	0.438310	−	0.898824i	$-0.355577\pi$
$312$	2.21232	+	1.27728i	0.125248	+	0.0723118i
$313$	−7.29877	−	2.65653i	−0.412551	−	0.150156i	0.127403	−	0.991851i	$-0.459336\pi$
$313$	−7.29877	−	2.65653i	−0.412551	−	0.150156i	−0.539953	+	0.841695i	$0.681558\pi$
$314$	1.80993	+	0.658759i	0.102140	+	0.0371759i
$315$	−6.30810	−	3.64198i	−0.355421	−	0.205203i
$316$	−1.87787	−	3.25257i	−0.105638	−	0.182971i
$317$	−16.6241	+	2.93128i	−0.933704	+	0.164637i	−0.619748	−	0.784801i	$-0.712765\pi$
$317$	−16.6241	+	2.93128i	−0.933704	+	0.164637i	−0.313955	+	0.949438i	$0.601654\pi$
$318$	7.68330	+	6.44705i	0.430858	+	0.361533i
$319$	−13.1193	+	8.59275i	−0.734539	+	0.481101i
$320$	0.319482	−	1.81187i	0.0178596	−	0.101287i
$321$	4.75401	+	13.0615i	0.265343	+	0.729024i
$322$		−	19.5704i		−	1.09062i
$323$	−2.61563	−	5.96670i	−0.145538	−	0.331996i
$324$	−11.1598			−0.619991
$325$	1.89182	−	0.688566i	0.104939	−	0.0381948i
$326$	−3.63071	+	20.5908i	−0.201086	+	1.14042i
$327$	21.0688	+	25.1088i	1.16511	+	1.38852i
$328$	−8.81138	−	7.39362i	−0.486527	−	0.408245i
$329$	16.1093	−	2.84051i	0.888135	−	0.156602i
$330$	11.4917	−	4.93097i	0.632599	−	0.271441i
$331$	−17.2196	−	9.94173i	−0.946474	−	0.546447i	−0.0544901	−	0.998514i	$-0.517353\pi$
$331$	−17.2196	−	9.94173i	−0.946474	−	0.546447i	−0.891984	+	0.452067i	$0.850687\pi$
$332$	−2.11446	+	5.80943i	−0.116046	+	0.318834i
$333$	−0.925328	+	2.54232i	−0.0507076	+	0.139318i
$334$	−3.42787	+	5.93725i	−0.187565	+	0.324872i
$335$	−2.63608	+	1.52194i	−0.144024	+	0.0831524i
$336$	1.17433	+	6.65996i	0.0640650	+	0.363330i
$337$	−24.8829	−	20.8792i	−1.35546	−	1.13736i	−0.977357	−	0.211598i	$-0.932133\pi$
$337$	−24.8829	−	20.8792i	−1.35546	−	1.13736i	−0.378100	−	0.925765i	$-0.623422\pi$
$338$	8.76825	−	7.35744i	0.476930	−	0.400192i
$339$	−6.77654	+	38.4317i	−0.368051	+	2.08732i
$340$	−0.940489	−	2.58397i	−0.0510052	−	0.140136i
$341$	−1.14789	+	9.66039i	−0.0621617	+	0.523139i
$342$	5.21877	−	0.334855i	0.282199	−	0.0181069i
$343$		−	10.2637i		−	0.554185i
$344$	1.13166	+	3.10922i	0.0610151	+	0.167638i
$345$	−22.0205	−	3.88282i	−1.18555	−	0.209044i
$346$	4.45825	−	3.74091i	0.239677	−	0.201113i
$347$	−8.05091	+	9.59470i	−0.432195	+	0.515070i	−0.937554	−	0.347839i	$-0.886916\pi$
$347$	−8.05091	+	9.59470i	−0.432195	+	0.515070i	0.505359	+	0.862909i	$0.331360\pi$
$348$	−9.54311	+	1.68271i	−0.511564	+	0.0902026i
$349$	−5.01819	+	2.89725i	−0.268618	+	0.155087i	−0.628259	−	0.778004i	$-0.716232\pi$
$349$	−5.01819	+	2.89725i	−0.268618	+	0.155087i	0.359642	+	0.933091i	$0.382899\pi$
$350$	4.61560	+	2.66482i	0.246714	+	0.142440i
$351$	1.57292	−	4.32156i	0.0839561	−	0.230668i
$352$	−2.96099	−	1.49417i	−0.157821	−	0.0796395i
$353$	−7.14627	+	12.3777i	−0.380358	+	0.658799i	−0.991113	−	0.133020i	$-0.957532\pi$
$353$	−7.14627	+	12.3777i	−0.380358	+	0.658799i	0.610756	+	0.791819i	$0.290866\pi$
$354$	10.9596	+	18.9825i	0.582494	+	1.00891i
$355$	22.0580	−	3.88942i	1.17072	−	0.206429i
$356$	−5.51654	+	6.57436i	−0.292376	+	0.348440i
$357$	6.49701	+	7.74284i	0.343858	+	0.409795i
$358$	22.0716	+	3.89183i	1.16652	+	0.205689i
$359$	2.33638	+	6.41915i	0.123309	+	0.338790i	0.985953	−	0.167022i	$-0.0534151\pi$
$359$	2.33638	+	6.41915i	0.123309	+	0.338790i	−0.862644	+	0.505812i	$0.831193\pi$
$360$	2.20729			0.116334
$361$	18.8442	−	2.42822i	0.991800	−	0.127801i
$362$		−	7.06451i		−	0.371302i
$363$	−2.53128	−	22.4000i	−0.132858	−	1.17569i
$364$	−4.05104	−	0.714308i	−0.212332	−	0.0374399i
$365$	1.86665	+	2.22458i	0.0977047	+	0.116440i
$366$	−0.791513	−	0.664158i	−0.0413730	−	0.0347161i
$367$	−2.12865	−	12.0722i	−0.111114	−	0.630161i	−0.988601	−	0.150560i	$-0.951892\pi$
$367$	−2.12865	−	12.0722i	−0.111114	−	0.630161i	0.877486	−	0.479601i	$-0.159219\pi$
$368$	2.96524	+	5.13595i	0.154574	+	0.267730i
$369$	6.89990	−	11.9510i	0.359195	−	0.622143i
$370$	−1.41902	+	3.89872i	−0.0737713	+	0.202685i
$371$	−15.1767	−	5.52388i	−0.787937	−	0.286785i
$372$	−3.00555	+	5.20576i	−0.155830	+	0.269906i
$373$	−6.75964	−	11.7080i	−0.350001	−	0.606219i	0.636248	−	0.771484i	$-0.280485\pi$
$373$	−6.75964	−	11.7080i	−0.350001	−	0.606219i	−0.986249	+	0.165265i	$0.947152\pi$
$374$	−4.94920	+	0.278751i	−0.255917	+	0.0144139i
$375$	16.0320	−	19.1062i	0.827888	−	0.986639i
$376$	−3.79726	+	3.18628i	−0.195829	+	0.164320i
$377$	1.02354	−	5.80477i	0.0527149	−	0.298961i
$378$	11.4405	−	4.16399i	0.588434	−	0.214172i
$379$			19.7516i			1.01457i	0.861778	+	0.507286i	$0.169351\pi$
$379$			19.7516i			1.01457i	−0.861778	+	0.507286i	$0.830649\pi$
$380$	8.00314	−	0.513510i	0.410552	−	0.0263425i
$381$			27.4332i			1.40544i
$382$	18.0474	−	6.56872i	0.923385	−	0.336085i
$383$	−5.60449	−	0.988222i	−0.286376	−	0.0504958i	0.0286149	−	0.999591i	$-0.490890\pi$
$383$	−5.60449	−	0.988222i	−0.286376	−	0.0504958i	−0.314991	+	0.949095i	$0.602001\pi$
$384$	−1.31728	−	1.56987i	−0.0672222	−	0.0801123i
$385$	−14.6731	+	13.7904i	−0.747810	+	0.702821i
$386$	−3.66943	−	20.8104i	−0.186769	−	1.05922i
$387$	−3.43779	+	1.98481i	−0.174752	+	0.100893i
$388$	−3.50898	−	2.02591i	−0.178141	−	0.102850i
$389$	16.8214	+	6.12248i	0.852878	+	0.310422i	0.731213	−	0.682149i	$-0.238954\pi$
$389$	16.8214	+	6.12248i	0.852878	+	0.310422i	0.121665	+	0.992571i	$0.461177\pi$
$390$	−1.60747	+	4.41650i	−0.0813976	+	0.223638i
$391$	7.67622	+	4.43187i	0.388203	+	0.224129i
$392$	−1.94488	−	3.36864i	−0.0982315	−	0.170142i
$393$	4.09373	+	23.2167i	0.206501	+	1.17113i
$394$	−9.32928	+	11.1182i	−0.470002	+	0.560127i
$395$	5.29328	−	4.44159i	0.266334	−	0.223481i
$396$	1.14850	−	3.80970i	0.0577143	−	0.191444i
$397$	0.301004	−	0.109556i	0.0151069	−	0.00549848i	−0.334456	−	0.942412i	$-0.608552\pi$
$397$	0.301004	−	0.109556i	0.0151069	−	0.00549848i	0.349563	+	0.936913i	$0.386330\pi$
$398$	−1.89494			−0.0949848
$399$	−26.9978	+	11.8350i	−1.35158	+	0.592493i
$400$	−1.61506			−0.0807529
$401$	−1.26595	−	3.47818i	−0.0632187	−	0.173692i	0.904062	−	0.427402i	$-0.140571\pi$
$401$	−1.26595	−	3.47818i	−0.0632187	−	0.173692i	−0.967280	+	0.253710i	$0.918349\pi$
$402$	−0.588752	+	3.33898i	−0.0293643	+	0.166533i
$403$	−2.35026	−	2.80093i	−0.117075	−	0.139524i
$404$	9.15927	−	10.9156i	0.455691	−	0.543071i
$405$	−3.56536	−	20.2202i	−0.177164	−	1.00475i
$406$	13.5135	−	7.80202i	0.670663	−	0.387208i
$407$	5.99070	+	4.47777i	0.296948	+	0.221955i
$408$	−2.87821	−	1.04758i	−0.142493	−	0.0518631i
$409$	−30.0271	−	10.9290i	−1.48474	−	0.540403i	−0.532685	−	0.846314i	$-0.678817\pi$
$409$	−30.0271	−	10.9290i	−1.48474	−	0.540403i	−0.952060	+	0.305911i	$0.901039\pi$
$410$	10.5812	−	18.3272i	0.522569	−	0.905116i
$411$	28.7049	−	16.5728i	1.41591	−	0.817476i
$412$	−10.8455	+	1.91235i	−0.534317	+	0.0942146i
$413$	−27.0381	−	22.6876i	−1.33046	−	1.11638i
$414$	−5.45039	+	4.57342i	−0.267872	+	0.224771i
$415$	−11.2015	−	1.97512i	−0.549859	−	0.0969549i
$416$	1.17136	−	0.426341i	0.0574308	−	0.0209031i
$417$	−9.78162			−0.479008
$418$	3.27791	−	14.0803i	0.160328	−	0.688691i
$419$	−14.7220			−0.719217			−0.359609	−	0.933103i	$-0.617090\pi$
$419$	−14.7220			−0.719217			−0.359609	+	0.933103i	$0.617090\pi$
$420$	−11.6918	+	4.25547i	−0.570501	+	0.207646i
$421$	0.706394	+	0.124556i	0.0344276	+	0.00607051i	0.190835	−	0.981622i	$-0.438880\pi$
$421$	0.706394	+	0.124556i	0.0344276	+	0.00607051i	−0.156408	+	0.987693i	$0.549991\pi$
$422$	−15.3840	+	12.9087i	−0.748879	+	0.628384i
$423$	−4.55568	−	3.82267i	−0.221505	−	0.185865i
$424$	4.81986	−	0.849872i	0.234073	−	0.0412734i
$425$	−2.09047	+	1.20694i	−0.101403	+	0.0585450i
$426$	12.4744	−	21.6063i	0.604387	−	1.04683i
$427$	1.56347	+	0.569055i	0.0756614	+	0.0275385i
$428$	6.37358	+	2.31979i	0.308079	+	0.112131i
$429$	6.78631	+	5.07244i	0.327646	+	0.244900i
$430$	−5.27195	+	3.04376i	−0.254236	+	0.146783i
$431$	−2.42599	−	13.7585i	−0.116856	−	0.662723i	−0.985815	−	0.167838i	$-0.946321\pi$
$431$	−2.42599	−	13.7585i	−0.116856	−	0.662723i	0.868959	−	0.494885i	$-0.164790\pi$
$432$	−2.37146	+	2.82620i	−0.114097	+	0.135975i
$433$	−0.352328	−	0.419888i	−0.0169318	−	0.0201785i	0.757512	−	0.652821i	$-0.226415\pi$
$433$	−0.352328	−	0.419888i	−0.0169318	−	0.0201785i	−0.774444	+	0.632643i	$0.781970\pi$
$434$	1.68082	−	9.53243i	0.0806821	−	0.457571i
$435$	−6.09769	−	16.7533i	−0.292362	−	0.803258i
$436$	15.9942			0.765982
$437$	−18.6979	+	17.8502i	−0.894444	+	0.853891i
$438$	3.23467			0.154558
$439$	−33.0597	+	12.0327i	−1.57785	+	0.574291i	−0.974736	−	0.223362i	$-0.928297\pi$
$439$	−33.0597	+	12.0327i	−1.57785	+	0.574291i	−0.603117	+	0.797653i	$0.706075\pi$
$440$	1.76126	−	5.84229i	0.0839648	−	0.278520i
$441$	3.57488	−	2.99968i	0.170232	−	0.142842i
$442$	1.19757	−	1.42720i	0.0569624	−	0.0678852i
$443$	2.41870	+	13.7171i	0.114916	+	0.651720i	0.986792	+	0.161993i	$0.0517922\pi$
$443$	2.41870	+	13.7171i	0.114916	+	0.651720i	−0.871876	+	0.489726i	$0.837097\pi$
$444$	2.31069	+	4.00223i	0.109660	+	0.189937i
$445$	−13.6743	−	7.89487i	−0.648225	−	0.374253i
$446$	5.89777	−	16.2040i	0.279268	−	0.767282i
$447$	2.60900	+	0.949598i	0.123401	+	0.0449144i
$448$	2.85785	+	1.64998i	0.135021	+	0.0779543i
$449$	−33.6440	+	19.4243i	−1.58776	+	0.916692i	−0.594080	+	0.804406i	$0.702484\pi$
$449$	−33.6440	+	19.4243i	−1.58776	+	0.916692i	−0.993676	+	0.112286i	$0.964183\pi$
$450$	−0.336466	−	1.90819i	−0.0158612	−	0.0899531i
$451$	−26.1264	−	27.7988i	−1.23025	−	1.30900i
$452$	12.2404	+	14.5875i	0.575739	+	0.686139i
$453$	−38.3368	−	6.75980i	−1.80122	−	0.317603i
$454$	21.8894	−	7.96711i	1.02732	−	0.373915i
$455$		−	7.56817i		−	0.354801i
$456$	5.29194	−	7.19654i	0.247818	−	0.337009i
$457$		−	17.0186i		−	0.796098i	−0.917364	−	0.398049i	$-0.869687\pi$
$457$		−	17.0186i		−	0.796098i	0.917364	−	0.398049i	$-0.130313\pi$
$458$	−0.365318	+	0.132965i	−0.0170702	+	0.00621304i
$459$	−0.957514	+	5.43033i	−0.0446929	+	0.253466i
$460$	−8.35834	+	7.01348i	−0.389710	+	0.327005i
$461$	−12.1358	+	14.4628i	−0.565219	+	0.673601i	−0.970642	−	0.240528i	$-0.922680\pi$
$461$	−12.1358	+	14.4628i	−0.565219	+	0.673601i	0.405424	+	0.914129i	$0.367124\pi$
$462$	1.26128	+	22.3938i	0.0586799	+	1.04186i
$463$	−3.58467	−	6.20884i	−0.166594	−	0.288549i	0.770626	−	0.637287i	$-0.219944\pi$
$463$	−3.58467	−	6.20884i	−0.166594	−	0.288549i	−0.937220	+	0.348738i	$0.886610\pi$
$464$	−2.36427	+	4.09504i	−0.109759	+	0.190108i
$465$	−10.3924	−	3.78252i	−0.481935	−	0.175410i
$466$	8.00674	−	21.9983i	0.370905	−	1.01905i
$467$	−0.509177	+	0.881920i	−0.0235619	+	0.0408104i	−0.877566	−	0.479456i	$-0.840834\pi$
$467$	−0.509177	+	0.881920i	−0.0235619	+	0.0408104i	0.854004	+	0.520266i	$0.174167\pi$
$468$	0.747754	+	1.29515i	0.0345650	+	0.0598683i
$469$	−0.948050	−	5.37666i	−0.0437769	−	0.248271i
$470$	−6.98628	−	5.86218i	−0.322253	−	0.270402i
$471$	2.53719	+	3.02371i	0.116908	+	0.139325i
$472$	10.5333	+	1.85730i	0.484833	+	0.0854892i
$473$	2.51031	+	10.6829i	0.115424	+	0.491202i
$474$		−	7.69673i		−	0.353522i
$475$	−1.66388	−	6.84042i	−0.0763441	−	0.313860i
$476$	4.93214			0.226064
$477$	2.00825	+	5.51762i	0.0919515	+	0.252635i
$478$	19.0885	+	3.36581i	0.873086	+	0.153949i
$479$	24.9040	+	29.6794i	1.13789	+	1.35609i	0.925431	+	0.378915i	$0.123703\pi$
$479$	24.9040	+	29.6794i	1.13789	+	1.35609i	0.212459	+	0.977170i	$0.431853\pi$
$480$	2.42356	−	2.88829i	0.110620	−	0.131832i
$481$	−2.76833	+	0.488131i	−0.126225	+	0.0222569i
$482$	7.01661	+	12.1531i	0.319598	+	0.553560i
$483$	20.0530	−	34.7329i	0.912445	−	1.58040i
$484$	−9.16715	−	6.07975i	−0.416689	−	0.276352i
$485$	2.54963	−	7.00505i	0.115773	−	0.318083i
$486$	−10.2209	−	5.90105i	−0.463631	−	0.267677i
$487$	2.67510	−	1.54447i	0.121220	−	0.0699866i	−0.438164	−	0.898895i	$-0.644371\pi$
$487$	2.67510	−	1.54447i	0.121220	−	0.0699866i	0.559384	+	0.828909i	$0.311038\pi$
$488$	−0.496529	+	0.0875515i	−0.0224768	+	0.00396327i
$489$	−27.5422	+	32.8236i	−1.24550	+	1.48433i
$490$	5.48218	−	4.60010i	0.247660	−	0.207811i
$491$	34.0861	+	6.01029i	1.53828	+	0.271241i	0.877588	−	0.479415i	$-0.159151\pi$
$491$	34.0861	+	6.01029i	1.53828	+	0.271241i	0.660694	+	0.750656i	$0.270262\pi$
$492$	−8.06217	−	22.1506i	−0.363471	−	0.998628i
$493$			7.06731i			0.318296i
$494$	3.01250	+	4.52196i	0.135539	+	0.203453i
$495$	7.26960	+	0.863806i	0.326744	+	0.0388252i
$496$	1.00322	+	2.75631i	0.0450457	+	0.123762i
$497$	−6.97620	+	39.5640i	−0.312925	+	1.77469i
$498$	−9.70538	+	8.14378i	−0.434909	+	0.364932i
$499$	22.8762	+	19.1954i	1.02408	+	0.859306i	0.990135	−	0.140118i	$-0.0447481\pi$
$499$	22.8762	+	19.1954i	1.02408	+	0.859306i	0.0339462	+	0.999424i	$0.489193\pi$
$500$	−2.11339	−	11.9856i	−0.0945136	−	0.536014i
$501$	−12.1673	+	7.02482i	−0.543597	+	0.313846i
$502$	4.87223	−	8.43896i	0.217458	−	0.376649i
$503$	−0.787082	+	2.16249i	−0.0350943	+	0.0964207i	−0.956002	−	0.293359i	$-0.905227\pi$
$503$	−0.787082	+	2.16249i	−0.0350943	+	0.0964207i	0.920908	+	0.389780i	$0.127449\pi$
$504$	−1.35408	+	3.72030i	−0.0603155	+	0.165715i
$505$	22.7038	+	13.1081i	1.01031	+	0.583302i
$506$	7.75598	+	18.0755i	0.344795	+	0.803552i
$507$	23.1005	−	4.07324i	1.02593	−	0.180899i
$508$	10.2546	+	8.60464i	0.454975	+	0.381769i
$509$	−20.0792	−	23.9294i	−0.889993	−	1.06065i	−0.997788	−	0.0664795i	$-0.978823\pi$
$509$	−20.0792	−	23.9294i	−0.889993	−	1.06065i	0.107794	−	0.994173i	$-0.465621\pi$
$510$	0.978550	−	5.54963i	0.0433309	−	0.245742i
$511$	−4.89456	+	1.78148i	−0.216523	+	0.0788078i
$512$	−1.00000			−0.0441942
$513$	−14.4132	−	7.13246i	−0.636360	−	0.314906i
$514$		−	4.09778i		−	0.180745i
$515$	−6.92985	−	19.0396i	−0.305366	−	0.838985i
$516$	−1.17746	+	6.67770i	−0.0518347	+	0.293969i
$517$	−13.7530	+	9.00783i	−0.604857	+	0.396164i
$518$	−5.70065	−	4.78341i	−0.250472	−	0.210171i
$519$	11.7455	−	2.07105i	0.515571	−	0.0909091i
$520$	1.14670	+	1.98615i	0.0502863	+	0.0870984i
$521$	−7.28227	−	4.20442i	−0.319042	−	0.184199i	0.331923	−	0.943306i	$-0.392302\pi$
$521$	−7.28227	−	4.20442i	−0.319042	−	0.184199i	−0.650966	+	0.759107i	$0.725636\pi$
$522$	−5.33085	−	1.94027i	−0.233325	−	0.0849234i
$523$	−4.58018	−	1.66705i	−0.200277	−	0.0728950i	0.239934	−	0.970789i	$-0.422874\pi$
$523$	−4.58018	−	1.66705i	−0.200277	−	0.0728950i	−0.440211	+	0.897894i	$0.645096\pi$
$524$	9.96251	+	5.75186i	0.435214	+	0.251271i
$525$	5.46107	+	9.45886i	0.238341	+	0.412818i
$526$	−28.1423	+	4.96225i	−1.22706	+	0.216364i
$527$	3.35833	+	2.81797i	0.146291	+	0.122753i
$528$	−3.72404	−	5.68582i	−0.162068	−	0.247443i
$529$	2.11342	−	11.9858i	0.0918876	−	0.521121i
$530$	3.07971	+	8.46144i	0.133774	+	0.367542i
$531$			12.8320i			0.556863i
$532$	−4.04409	+	13.8040i	−0.175334	+	0.598480i
$533$	14.3382			0.621058
$534$	−16.5271	+	6.01536i	−0.715196	+	0.260310i
$535$	−2.16692	+	12.2892i	−0.0936843	+	0.531310i
$536$	1.06346	+	1.26738i	0.0459343	+	0.0547423i
$537$	35.1842	+	29.5231i	1.51831	+	1.27401i
$538$	5.95917	−	1.05076i	0.256918	−	0.0453016i
$539$	−5.08710	−	11.8556i	−0.219117	−	0.510656i
$540$	−5.87834	−	3.39386i	−0.252964	−	0.146049i
$541$	4.75348	−	13.0601i	0.204368	−	0.561496i	−0.794590	−	0.607147i	$-0.792314\pi$
$541$	4.75348	−	13.0601i	0.204368	−	0.561496i	0.998957	+	0.0456508i	$0.0145362\pi$
$542$	−9.69993	+	26.6504i	−0.416648	+	1.14473i
$543$	7.23873	−	12.5378i	0.310644	−	0.538051i
$544$	−1.29437	+	0.747302i	−0.0554955	+	0.0320403i
$545$	5.10985	+	28.9794i	0.218882	+	1.24134i
$546$	−6.45773	−	5.41868i	−0.276365	−	0.231898i
$547$	0.702047	−	0.589087i	0.0300174	−	0.0251876i	−0.627656	−	0.778491i	$-0.715985\pi$
$547$	0.702047	−	0.589087i	0.0300174	−	0.0251876i	0.657673	+	0.753304i	$0.271541\pi$
$548$	2.80857	−	15.9282i	0.119976	−	0.680419i
$549$	−0.206885	−	0.568411i	−0.00882962	−	0.0242592i
$550$	−5.31912	−	0.632041i	−0.226808	−	0.0269503i
$551$	−19.7799	−	5.79481i	−0.842652	−	0.246867i
$552$			12.1535i			0.517287i
$553$	4.23893	+	11.6464i	0.180258	+	0.495254i
$554$	16.7351	+	2.95085i	0.711007	+	0.125370i
$555$	−6.51330	+	5.46531i	−0.276474	+	0.231989i
$556$	−3.06809	+	3.65640i	−0.130116	+	0.155066i
$557$	10.7110	−	1.88863i	0.453839	−	0.0800240i	0.0579438	−	0.998320i	$-0.481546\pi$
$557$	10.7110	−	1.88863i	0.453839	−	0.0800240i	0.395895	+	0.918296i	$0.370434\pi$
$558$	−3.04759	+	1.75953i	−0.129015	+	0.0744867i
$559$	−3.57192	−	2.06225i	−0.151076	−	0.0872238i
$560$	−2.07652	+	5.70520i	−0.0877491	+	0.241089i
$561$	−9.06930	−	4.57654i	−0.382906	−	0.193222i
$562$	1.72996	−	2.99638i	0.0729740	−	0.126395i
$563$	−14.8244	−	25.6767i	−0.624776	−	1.08214i	−0.988584	−	0.150670i	$-0.951857\pi$
$563$	−14.8244	−	25.6767i	−0.624776	−	1.08214i	0.363808	−	0.931474i	$-0.381476\pi$
$564$	−10.0041	+	1.76399i	−0.421249	+	0.0742775i
$565$	−22.5201	+	26.8384i	−0.947428	+	1.12910i
$566$	−0.336332	−	0.400825i	−0.0141371	−	0.0168479i
$567$	36.2676	+	6.39495i	1.52310	+	0.268563i
$568$	−4.16381	−	11.4400i	−0.174710	−	0.480010i
$569$	2.88688			0.121024			0.0605122	−	0.998167i	$-0.480727\pi$
$569$	2.88688			0.121024			0.0605122	+	0.998167i	$0.480727\pi$
$570$	14.7299	+	7.28915i	0.616967	+	0.305309i
$571$		−	43.6614i		−	1.82717i	−0.406645	−	0.913586i	$-0.633301\pi$
$571$		−	43.6614i		−	1.82717i	0.406645	−	0.913586i	$-0.366699\pi$
$572$	4.02468	−	0.945732i	0.168280	−	0.0395430i
$573$	38.7606	+	6.83455i	1.61925	+	0.285517i
$574$	24.3987	+	29.0772i	1.01838	+	1.21366i
$575$	7.33723	+	6.15667i	0.305984	+	0.256751i
$576$	−0.208331	−	1.18150i	−0.00868045	−	0.0492293i
$577$	4.14712	+	7.18302i	0.172647	+	0.299033i	0.939344	−	0.342975i	$-0.111435\pi$
$577$	4.14712	+	7.18302i	0.172647	+	0.299033i	−0.766698	+	0.642008i	$0.778101\pi$
$578$	7.38308	−	12.7879i	0.307096	−	0.531905i
$579$	14.8112	−	40.6935i	0.615533	−	1.69116i
$580$	−8.17503	−	2.97547i	−0.339449	−	0.123550i
$581$	10.2006	−	17.6680i	0.423194	−	0.732993i
$582$	−4.15174	−	7.19103i	−0.172095	−	0.298078i
$583$	16.2066	−	0.912795i	0.671208	−	0.0378041i
$584$	1.01458	−	1.20913i	0.0419836	−	0.0500341i
$585$	−2.10775	+	1.76861i	−0.0871446	+	0.0731230i
$586$	2.85543	−	16.1940i	0.117957	−	0.668967i
$587$	−40.5449	+	14.7571i	−1.67347	+	0.609092i	−0.992392	−	0.123121i	$-0.960710\pi$
$587$	−40.5449	+	14.7571i	−1.67347	+	0.609092i	−0.681076	+	0.732213i	$0.738488\pi$
$588$		−	7.97140i		−	0.328735i
$589$	−10.6405	+	7.08866i	−0.438436	+	0.292083i
$590$			19.6783i			0.810143i
$591$	−27.9497	+	10.1729i	−1.14970	+	0.418455i
$592$	2.22081	+	0.391589i	0.0912749	+	0.0160942i
$593$	27.5890	+	32.8793i	1.13295	+	1.35019i	0.928508	+	0.371312i	$0.121092\pi$
$593$	27.5890	+	32.8793i	1.13295	+	1.35019i	0.204437	+	0.978880i	$0.434464\pi$
$594$	−8.91631	+	8.37990i	−0.365841	+	0.343832i
$595$	1.57573	+	8.93640i	0.0645986	+	0.366357i
$596$	1.17330	−	0.677404i	0.0480601	−	0.0277475i
$597$	−3.36308	−	1.94167i	−0.137642	−	0.0794674i
$598$	−6.94675	−	2.52841i	−0.284074	−	0.103394i
$599$	12.8856	−	35.4028i	0.526491	−	1.44652i	−0.336685	−	0.941617i	$-0.609306\pi$
$599$	12.8856	−	35.4028i	0.526491	−	1.44652i	0.863176	−	0.504904i	$-0.168472\pi$
$600$	−2.86635	−	1.65489i	−0.117018	−	0.0675605i
$601$	1.91280	+	3.31307i	0.0780248	+	0.135143i	0.902398	−	0.430904i	$-0.141805\pi$
$601$	1.91280	+	3.31307i	0.0780248	+	0.135143i	−0.824373	+	0.566047i	$0.808472\pi$
$602$	−1.89603	−	10.7529i	−0.0772763	−	0.438256i
$603$	−1.27586	+	1.52051i	−0.0519570	+	0.0619199i
$604$	−14.5515	+	12.2101i	−0.592091	+	0.496824i
$605$	8.08697	−	18.5521i	0.328782	−	0.754248i
$606$	27.4404	−	9.98747i	1.11469	−	0.405713i
$607$	17.1200			0.694878			0.347439	−	0.937703i	$-0.387051\pi$
$607$	17.1200			0.694878			0.347439	+	0.937703i	$0.387051\pi$
$608$	−1.03023	−	4.23540i	−0.0417813	−	0.171768i
$609$	31.9777			1.29580
$610$	−0.317264	−	0.871675i	−0.0128456	−	0.0352931i
$611$	1.07298	−	6.08518i	0.0434082	−	0.246180i
$612$	−1.15260	−	1.37361i	−0.0465909	−	0.0555249i
$613$	−10.4904	+	12.5019i	−0.423701	+	0.504947i	−0.935094	−	0.354400i	$-0.884685\pi$
$613$	−10.4904	+	12.5019i	−0.423701	+	0.504947i	0.511393	+	0.859347i	$0.329130\pi$
$614$	−1.65277	−	9.37334i	−0.0667005	−	0.378277i
$615$	37.5584	−	21.6843i	1.51450	−	0.874397i
$616$	8.76650	+	6.55255i	0.353213	+	0.264010i
$617$	6.53849	+	2.37981i	0.263230	+	0.0958077i	0.470264	−	0.882526i	$-0.344159\pi$
$617$	6.53849	+	2.37981i	0.263230	+	0.0958077i	−0.207034	+	0.978334i	$0.566381\pi$
$618$	−21.2077	−	7.71896i	−0.853097	−	0.310502i
$619$	15.9724	−	27.6650i	0.641984	−	1.11195i	−0.343005	−	0.939334i	$-0.611445\pi$
$619$	15.9724	−	27.6650i	0.641984	−	1.11195i	0.984989	−	0.172616i	$-0.0552219\pi$
$620$	−4.67357	+	2.69829i	−0.187695	+	0.108366i
$621$	21.5472	−	3.79935i	0.864658	−	0.152463i
$622$	−15.1102	−	12.6790i	−0.605863	−	0.508380i
$623$	21.6951	−	18.2044i	0.869198	−	0.729344i
$624$	2.51575	+	0.443595i	0.100711	+	0.0177580i
$625$	13.4529	−	4.89646i	0.538117	−	0.195859i
$626$	−7.76719			−0.310439
$627$	20.2451	−	21.6305i	0.808511	−	0.863840i
$628$	1.92608			0.0768591
$629$	3.16718	−	1.15276i	0.126284	−	0.0459635i
$630$	−7.17331	−	1.26485i	−0.285791	−	0.0503928i
$631$	−29.5912	+	24.8300i	−1.17801	+	0.988467i	−0.178019	+	0.984027i	$0.556969\pi$
$631$	−29.5912	+	24.8300i	−1.17801	+	0.988467i	−0.999990	+	0.00443988i	$0.998587\pi$
$632$	−2.87706	−	2.41414i	−0.114443	−	0.0960294i
$633$	−40.5299	+	7.14652i	−1.61092	+	0.284049i
$634$	−14.6190	+	8.44029i	−0.580595	+	0.335207i
$635$	−12.3143	+	21.3290i	−0.488679	+	0.846417i
$636$	9.42496	+	3.43040i	0.373724	+	0.136024i
$637$	4.55633	+	1.65837i	0.180528	+	0.0657070i
$638$	−9.38920	+	12.5616i	−0.371722	+	0.497318i
$639$	12.6489	−	7.30285i	0.500383	−	0.288896i
$640$	−0.319482	−	1.81187i	−0.0126286	−	0.0716205i
$641$	18.7926	−	22.3961i	0.742263	−	0.884595i	−0.254326	−	0.967119i	$-0.581854\pi$
$641$	18.7926	−	22.3961i	0.742263	−	0.884595i	0.996589	+	0.0825239i	$0.0262981\pi$
$642$	8.93461	+	10.6479i	0.352621	+	0.420237i
$643$	−3.09234	+	17.5375i	−0.121950	+	0.691613i	0.861123	+	0.508397i	$0.169762\pi$
$643$	−3.09234	+	17.5375i	−0.121950	+	0.691613i	−0.983073	+	0.183216i	$0.941349\pi$
$644$	−6.69347	−	18.3902i	−0.263760	−	0.724674i
$645$	−12.4753			−0.491215
$646$	−4.49862	−	4.71226i	−0.176996	−	0.185402i
$647$	30.3931			1.19488			0.597438	−	0.801915i	$-0.296185\pi$
$647$	30.3931			1.19488			0.597438	+	0.801915i	$0.296185\pi$
$648$	−10.4868	+	3.81689i	−0.411961	+	0.149942i
$649$	33.9640	+	10.2391i	1.33321	+	0.401918i
$650$	1.54222	−	1.29408i	0.0604910	−	0.0507580i
$651$	12.7506	−	15.1956i	0.499735	−	0.595561i
$652$	3.63071	+	20.5908i	0.142189	+	0.806397i
$653$	15.1040	+	26.1608i	0.591064	+	1.02375i	0.994089	+	0.108564i	$0.0346252\pi$
$653$	15.1040	+	26.1608i	0.591064	+	1.02375i	−0.403026	+	0.915189i	$0.632041\pi$
$654$	28.3859	+	16.3886i	1.10998	+	0.640846i
$655$	−7.23878	+	19.8884i	−0.282843	+	0.777104i
$656$	−10.8088	−	3.93406i	−0.422011	−	0.153599i
$657$	1.63996	+	0.946830i	0.0639808	+	0.0369394i
$658$	14.1663	−	8.17891i	0.552259	−	0.318847i
$659$	−7.60563	−	43.1336i	−0.296273	−	1.68025i	−0.661983	−	0.749519i	$-0.730285\pi$
$659$	−7.60563	−	43.1336i	−0.296273	−	1.68025i	0.365709	−	0.930729i	$-0.380826\pi$
$660$	9.11220	−	8.56400i	0.354692	−	0.333353i
$661$	−2.36726	−	2.82119i	−0.0920758	−	0.109732i	0.718039	−	0.696003i	$-0.245040\pi$
$661$	−2.36726	−	2.82119i	−0.0920758	−	0.109732i	−0.810115	+	0.586271i	$0.800595\pi$
$662$	−19.5814	−	3.45273i	−0.761052	−	0.134194i
$663$	3.58780	−	1.30585i	0.139339	−	0.0507151i
$664$			6.18227i			0.239919i
$665$	−26.3031	−	2.91724i	−1.01999	−	0.113126i
$666$			2.70548i			0.104835i
$667$	26.3514	−	9.59113i	1.02033	−	0.371370i
$668$	−1.19049	+	6.75159i	−0.0460613	+	0.261227i
$669$	27.0708	−	22.7151i	1.04662	−	0.878216i
$670$	−1.95657	+	2.33175i	−0.0755888	+	0.0900832i
$671$	−1.66956	+	0.0940337i	−0.0644526	+	0.00363013i
$672$	3.38135	+	5.85667i	0.130438	+	0.225926i
$673$	−3.56978	+	6.18305i	−0.137605	+	0.238339i	−0.926590	−	0.376074i	$-0.877274\pi$
$673$	−3.56978	+	6.18305i	−0.137605	+	0.238339i	0.788985	+	0.614413i	$0.210607\pi$
$674$	−30.5234	−	11.1096i	−1.17572	−	0.427926i
$675$	−2.03793	+	5.59915i	−0.0784398	+	0.215512i
$676$	5.72307	−	9.91265i	0.220118	−	0.381256i
$677$	−9.91063	−	17.1657i	−0.380897	−	0.659732i	0.610294	−	0.792175i	$-0.291051\pi$
$677$	−9.91063	−	17.1657i	−0.380897	−	0.659732i	−0.991191	+	0.132443i	$0.957718\pi$
$678$	6.77654	+	38.4317i	0.260251	+	1.47596i
$679$	10.2427	+	8.59462i	0.393078	+	0.329831i
$680$	−1.76754	−	2.10647i	−0.0677821	−	0.0807796i
$681$	47.0123	+	8.28953i	1.80151	+	0.317655i
$682$	2.22538	+	9.47040i	0.0852143	+	0.362640i
$683$			13.4389i			0.514225i	0.966381	+	0.257113i	$0.0827712\pi$
$683$			13.4389i			0.514225i	−0.966381	+	0.257113i	$0.917229\pi$
$684$	4.78951	−	2.09958i	0.183131	−	0.0802796i
$685$	29.7571			1.13696
$686$	−3.51038	−	9.64468i	−0.134027	−	0.368236i
$687$	−0.784598	−	0.138346i	−0.0299343	−	0.00527822i
$688$	2.12683	+	2.53466i	0.0810846	+	0.0966328i
$689$	−3.92154	+	4.67351i	−0.149399	+	0.178046i
$690$	−22.0205	+	3.88282i	−0.838308	+	0.147816i
$691$	−11.7118	−	20.2854i	−0.445538	−	0.771694i	0.552552	−	0.833478i	$-0.313654\pi$
$691$	−11.7118	−	20.2854i	−0.445538	−	0.771694i	−0.998089	+	0.0617848i	$0.980321\pi$
$692$	2.90991	−	5.04012i	0.110618	−	0.191597i
$693$	−5.91552	+	11.7227i	−0.224712	+	0.445310i
$694$	−4.28380	+	11.7696i	−0.162611	+	0.446769i
$695$	−7.60513	−	4.39082i	−0.288479	−	0.166553i
$696$	−8.39207	+	4.84516i	−0.318100	+	0.183655i
$697$	−16.9304	+	2.98529i	−0.641285	+	0.113076i
$698$	−3.72464	+	4.43885i	−0.140980	+	0.168013i
$699$	36.7509	−	30.8377i	1.39005	−	1.16639i
$700$	5.24866	+	0.925481i	0.198381	+	0.0349799i
$701$	6.49818	+	17.8536i	0.245433	+	0.674321i	0.999840	+	0.0179140i	$0.00570250\pi$
$701$	6.49818	+	17.8536i	0.245433	+	0.674321i	−0.754407	+	0.656407i	$0.772075\pi$
$702$		−	4.59890i		−	0.173574i
$703$	0.629411	+	9.80947i	0.0237387	+	0.369971i
$704$	−3.29346	−	0.391343i	−0.124127	−	0.0147493i
$705$	−6.39225	−	17.5626i	−0.240746	−	0.661445i
$706$	−2.48187	+	14.0754i	−0.0934066	+	0.529735i
$707$	−36.0211	+	30.2253i	−1.35471	+	1.13674i
$708$	16.7910	+	14.0893i	0.631045	+	0.529509i
$709$	−4.23883	−	24.0396i	−0.159192	−	0.902826i	−0.954852	−	0.297082i	$-0.903987\pi$
$709$	−4.23883	−	24.0396i	−0.159192	−	0.902826i	0.795660	−	0.605744i	$-0.207124\pi$
$710$	19.3975	−	11.1991i	0.727974	−	0.420296i
$711$	2.25293	−	3.90220i	0.0844917	−	0.146344i
$712$	−2.93529	+	8.06464i	−0.110005	+	0.302235i
$713$	5.94956	−	16.3463i	0.222813	−	0.612173i
$714$	8.75340	+	5.05378i	0.327588	+	0.189133i
$715$	2.99935	+	6.99005i	0.112169	+	0.261413i
$716$	22.0716	−	3.89183i	0.824856	−	0.145444i
$717$	30.4287	+	25.5327i	1.13638	+	0.953538i
$718$	4.39096	+	5.23294i	0.163869	+	0.195292i
$719$	−4.44663	+	25.2181i	−0.165831	+	0.940476i	0.782372	+	0.622812i	$0.214010\pi$
$719$	−4.44663	+	25.2181i	−0.165831	+	0.940476i	−0.948203	+	0.317664i	$0.897101\pi$
$720$	2.07417	−	0.754937i	0.0772998	−	0.0281348i
$721$	36.3417			1.35344
$722$	16.8773	−	8.72688i	0.628106	−	0.324781i
$723$			28.7586i			1.06954i
$724$	−2.41620	−	6.63846i	−0.0897975	−	0.246717i
$725$	−1.32613	+	7.52085i	−0.0492512	+	0.279318i
$726$	−10.0399	−	20.1834i	−0.372615	−	0.749075i
$727$	34.2430	+	28.7333i	1.27000	+	1.06566i	0.994541	+	0.104349i	$0.0332758\pi$
$727$	34.2430	+	28.7333i	1.27000	+	1.06566i	0.275464	+	0.961311i	$0.411169\pi$
$728$	−4.05104	+	0.714308i	−0.150142	+	0.0264740i
$729$	4.64659	+	8.04812i	0.172096	+	0.298079i
$730$	2.51493	+	1.45199i	0.0930816	+	0.0537407i
$731$	4.64705	+	1.69139i	0.171877	+	0.0625582i
$732$	−0.970934	−	0.353391i	−0.0358867	−	0.0130617i
$733$	13.5274	+	7.81006i	0.499647	+	0.288471i	0.728568	−	0.684974i	$-0.240186\pi$
$733$	13.5274	+	7.81006i	0.499647	+	0.288471i	−0.228921	+	0.973445i	$0.573520\pi$
$734$	−6.12919	−	10.6161i	−0.226233	−	0.391846i
$735$	14.4431	−	2.54671i	0.532743	−	0.0939370i
$736$	4.54302	+	3.81204i	0.167458	+	0.140514i
$737$	3.00646	+	4.59023i	0.110745	+	0.169083i
$738$	2.39631	−	13.5902i	0.0882094	−	0.500261i
$739$	−11.3453	−	31.1708i	−0.417342	−	1.14664i	−0.953203	−	0.302332i	$-0.902235\pi$
$739$	−11.3453	−	31.1708i	−0.417342	−	1.14664i	0.535861	−	0.844306i	$-0.319987\pi$
$740$			4.14893i			0.152518i
$741$	0.713001	+	11.1122i	0.0261927	+	0.408218i
$742$	−16.1507			−0.592912
$743$	10.4057	−	3.78738i	0.381749	−	0.138945i	−0.144015	−	0.989575i	$-0.546001\pi$
$743$	10.4057	−	3.78738i	0.381749	−	0.138945i	0.525765	+	0.850630i	$0.323779\pi$
$744$	−1.04382	+	5.91977i	−0.0382681	+	0.217029i
$745$	1.60221	+	1.90944i	0.0587006	+	0.0699566i
$746$	−10.3564	−	8.69002i	−0.379173	−	0.318164i
$747$	−7.30437	+	1.28796i	−0.267253	+	0.0471239i
$748$	−4.55539	+	1.95467i	−0.166561	+	0.0714697i
$749$	−19.3837	−	11.1912i	−0.708266	−	0.408918i
$750$	8.53044	−	23.4372i	0.311488	−	0.855806i
$751$	10.0935	−	27.7317i	0.368318	−	1.01194i	−0.607683	−	0.794179i	$-0.707901\pi$
$751$	10.0935	−	27.7317i	0.368318	−	1.01194i	0.976001	−	0.217765i	$-0.0698768\pi$
$752$	−2.47848	+	4.29286i	−0.0903810	+	0.156544i
$753$	17.2942	−	9.98479i	0.630234	−	0.363866i
$754$	−1.02354	−	5.80477i	−0.0372750	−	0.211397i
$755$	−26.7721	−	22.4645i	−0.974337	−	0.817566i
$756$	9.32635	−	7.82574i	0.339196	−	0.284619i
$757$	−5.17278	+	29.3363i	−0.188008	+	1.06625i	0.734022	+	0.679126i	$0.237641\pi$
$757$	−5.17278	+	29.3363i	−0.188008	+	1.06625i	−0.922030	+	0.387120i	$0.873470\pi$
$758$	6.75545	+	18.5604i	0.245369	+	0.674145i
$759$	−4.75618	+	40.0270i	−0.172639	+	1.45289i
$760$	7.34486	−	3.21978i	0.266426	−	0.116794i
$761$			10.1594i			0.368278i	0.982900	+	0.184139i	$0.0589497\pi$
$761$			10.1594i			0.368278i	−0.982900	+	0.184139i	$0.941050\pi$
$762$	9.38269	+	25.7787i	0.339899	+	0.933865i
$763$	−51.9784	−	9.16519i	−1.88174	−	0.331802i
$764$	14.7124	−	12.3451i	0.532275	−	0.446632i
$765$	2.12057	−	2.52720i	0.0766694	−	0.0913710i
$766$	−5.60449	+	0.988222i	−0.202498	+	0.0357059i
$767$	−11.5465	+	6.66635i	−0.416918	+	0.240708i
$768$	−1.77477	−	1.02466i	−0.0640414	−	0.0369743i
$769$	−12.8966	+	35.4331i	−0.465063	+	1.27775i	0.456569	+	0.889688i	$0.349078\pi$
$769$	−12.8966	+	35.4331i	−0.465063	+	1.27775i	−0.921633	+	0.388063i	$0.873144\pi$
$770$	−9.07162	+	17.9772i	−0.326919	+	0.647853i
$771$	4.19884	−	7.27261i	0.151218	−	0.261917i
$772$	−10.5657	−	18.3003i	−0.380268	−	0.658643i
$773$	−43.1056	+	7.60068i	−1.55040	+	0.273377i	−0.882298	−	0.470691i	$-0.844005\pi$
$773$	−43.1056	+	7.60068i	−1.55040	+	0.273377i	−0.668103	+	0.744069i	$0.732893\pi$
$774$	−2.55162	+	3.04090i	−0.0917160	+	0.109303i
$775$	3.04508	+	3.62898i	0.109382	+	0.130357i
$776$	−3.99026	−	0.703591i	−0.143242	−	0.0252574i
$777$	−5.21594	−	14.3307i	−0.187121	−	0.514110i
$778$	17.9009			0.641780
$779$	5.52684	−	49.8324i	0.198020	−	1.78543i
$780$			4.69994i			0.168285i
$781$	−9.23637	−	39.3065i	−0.330503	−	1.40650i
$782$	8.72907	+	1.53917i	0.312151	+	0.0550406i
$783$	11.2136	+	13.3638i	0.400740	+	0.477583i
$784$	−2.97974	−	2.50029i	−0.106419	−	0.0892962i
$785$	0.615348	+	3.48981i	0.0219627	+	0.124557i
$786$	11.7874	+	20.4164i	0.420443	+	0.728229i
$787$	−15.3250	+	26.5437i	−0.546278	+	0.946181i	0.452248	+	0.891892i	$0.350622\pi$
$787$	−15.3250	+	26.5437i	−0.546278	+	0.946181i	−0.998525	+	0.0542882i	$0.982711\pi$
$788$	−4.96401	+	13.6385i	−0.176835	+	0.485851i
$789$	−55.0307	−	20.0295i	−1.95914	−	0.713070i
$790$	3.45494	−	5.98414i	0.122921	−	0.212906i
$791$	−31.4200	−	54.4211i	−1.11717	−	1.93499i
$792$	−0.223755	−	3.97275i	−0.00795080	−	0.141166i
$793$	0.403986	−	0.481452i	0.0143460	−	0.0170969i
$794$	0.245381	−	0.205899i	0.00870823	−	0.00730707i
$795$	−3.20435	+	18.1728i	−0.113646	+	0.644521i
$796$	−1.78066	+	0.648108i	−0.0631139	+	0.0229716i
$797$			10.3374i			0.366170i	0.983097	+	0.183085i	$0.0586084\pi$
$797$			10.3374i			0.366170i	−0.983097	+	0.183085i	$0.941392\pi$
$798$	−21.3218	+	20.3551i	−0.754783	+	0.720562i
$799$			7.40871i			0.262101i
$800$	−1.51766	+	0.552382i	−0.0536573	+	0.0195297i
$801$	−10.1399	−	1.78794i	−0.358276	−	0.0631737i
$802$	−2.37921	−	2.83544i	−0.0840130	−	0.100123i
$803$	3.81466	−	3.58517i	0.134616	−	0.126518i
$804$	0.588752	+	3.33898i	0.0207637	+	0.117757i
$805$	31.1821	−	18.0030i	1.09903	−	0.634523i
$806$	−3.16650	−	1.82818i	−0.111535	−	0.0643948i
$807$	11.6528	+	4.24127i	0.410198	+	0.149300i
$808$	4.87354	−	13.3900i	0.171451	−	0.471057i
$809$	−26.0439	−	15.0365i	−0.915655	−	0.528654i	−0.0334089	−	0.999442i	$-0.510636\pi$
$809$	−26.0439	−	15.0365i	−0.915655	−	0.528654i	−0.882246	+	0.470788i	$0.843970\pi$
$810$	−10.2661	−	17.7813i	−0.360712	−	0.624772i
$811$	−3.29924	−	18.7109i	−0.115852	−	0.657029i	−0.986325	−	0.164813i	$-0.947298\pi$
$811$	−3.29924	−	18.7109i	−0.115852	−	0.657029i	0.870473	−	0.492216i	$-0.163813\pi$
$812$	10.0301	−	11.9534i	0.351987	−	0.419482i
$813$	−44.5227	+	37.3590i	−1.56148	+	1.31024i
$814$	7.16091	+	2.15878i	0.250990	+	0.0756653i
$815$	−36.1479	+	13.1567i	−1.26620	+	0.460861i
$816$	−3.06293			−0.107224
$817$	−8.54416	+	11.6193i	−0.298922	+	0.406506i
$818$	−31.9542			−1.11725
$819$	−1.68791	−	4.63750i	−0.0589804	−	0.162047i
$820$	3.67482	−	20.8409i	0.128330	−	0.727796i
$821$	−23.7112	−	28.2580i	−0.827528	−	0.986210i	−0.999999	−	0.00119501i	$-0.999620\pi$
$821$	−23.7112	−	28.2580i	−0.827528	−	0.986210i	0.172471	−	0.985015i	$-0.444825\pi$
$822$	21.3056	−	25.3910i	0.743118	−	0.885613i
$823$	−5.29503	−	30.0296i	−0.184573	−	1.04677i	−0.926503	−	0.376288i	$-0.877200\pi$
$823$	−5.29503	−	30.0296i	−0.184573	−	1.04677i	0.741930	−	0.670478i	$-0.233911\pi$
$824$	−9.53734	+	5.50638i	−0.332249	+	0.191824i
$825$	−8.79257	−	6.57203i	−0.306118	−	0.228809i
$826$	−33.1671	−	12.0718i	−1.15403	−	0.420033i
$827$	15.5224	+	5.64970i	0.539768	+	0.196459i	0.597495	−	0.801873i	$-0.296163\pi$
$827$	15.5224	+	5.64970i	0.539768	+	0.196459i	−0.0577266	+	0.998332i	$0.518385\pi$
$828$	−3.55749	+	6.16175i	−0.123631	+	0.214136i
$829$	−40.5024	+	23.3841i	−1.40671	+	0.812163i	−0.995069	−	0.0991846i	$-0.968377\pi$
$829$	−40.5024	+	23.3841i	−1.40671	+	0.812163i	−0.411638	+	0.911347i	$0.635043\pi$
$830$	−11.2015	+	1.97512i	−0.388809	+	0.0685575i
$831$	26.6773	+	22.3849i	0.925425	+	0.776524i
$832$	0.954904	−	0.801260i	0.0331053	−	0.0277787i
$833$	−5.72534	−	1.00953i	−0.198371	−	0.0349782i
$834$	−9.19172	+	3.34551i	−0.318283	+	0.115846i
$835$	−12.6133			−0.436503
$836$	−1.73552	−	14.3523i	−0.0600243	−	0.496384i
$837$	10.8216			0.374049
$838$	−13.8342	+	5.03523i	−0.477893	+	0.173939i
$839$	−45.7977	−	8.07537i	−1.58111	−	0.278793i	−0.687008	−	0.726650i	$-0.741076\pi$
$839$	−45.7977	−	8.07537i	−1.58111	−	0.278793i	−0.894105	+	0.447857i	$0.852187\pi$
$840$	−9.53124	+	7.99766i	−0.328859	+	0.275946i
$841$	−5.08718	−	4.26865i	−0.175420	−	0.147195i
$842$	0.706394	−	0.124556i	0.0243440	−	0.00429250i
$843$	6.14055	−	3.54525i	0.211492	−	0.122105i
$844$	−10.0412	+	17.3918i	−0.345631	+	0.598651i
$845$	19.7889	+	7.20255i	0.680757	+	0.247775i
$846$	−5.58837	−	2.03400i	−0.192132	−	0.0699304i
$847$	26.3078	+	25.0112i	0.903947	+	0.859396i
$848$	4.23851	−	2.44711i	0.145551	−	0.0840340i
$849$	−0.186201	−	1.05600i	−0.00639040	−	0.0362418i
$850$	−1.55161	+	1.84913i	−0.0532197	+	0.0634248i
$851$	−8.59644	−	10.2448i	−0.294682	−	0.351188i
$852$	4.33231	−	24.5698i	0.148423	−	0.841747i
$853$	−12.1513	−	33.3854i	−0.416053	−	1.14310i	−0.953919	−	0.300065i	$-0.902992\pi$
$853$	−12.1513	−	33.3854i	−0.416053	−	1.14310i	0.537866	−	0.843030i	$-0.319231\pi$
$854$	1.66381			0.0569342
$855$	5.33433	+	8.00719i	0.182430	+	0.273840i
$856$	6.78262			0.231825
$857$	−52.2623	+	19.0219i	−1.78525	+	0.649777i	−0.785734	+	0.618565i	$0.787714\pi$
$857$	−52.2623	+	19.0219i	−1.78525	+	0.649777i	−0.999513	+	0.0312119i	$0.990063\pi$
$858$	8.11192	+	2.44548i	0.276936	+	0.0834874i
$859$	26.2882	−	22.0584i	0.896940	−	0.752622i	−0.0726497	−	0.997358i	$-0.523146\pi$
$859$	26.2882	−	22.0584i	0.896940	−	0.752622i	0.969590	+	0.244735i	$0.0787011\pi$
$860$	−3.91298	+	4.66331i	−0.133432	+	0.159018i
$861$	13.5077	+	76.6057i	0.460340	+	2.61072i
$862$	−6.98537	−	12.0990i	−0.237923	−	0.412094i
$863$	−29.8968	−	17.2609i	−1.01770	−	0.587569i	−0.104262	−	0.994550i	$-0.533248\pi$
$863$	−29.8968	−	17.2609i	−1.01770	−	0.587569i	−0.913436	+	0.406981i	$0.866581\pi$
$864$	−1.26183	+	3.46684i	−0.0429283	+	0.117944i
$865$	10.0617	+	3.66216i	0.342108	+	0.124517i
$866$	−0.474690	−	0.274062i	−0.0161306	−	0.00931302i
$867$	26.2065	−	15.1303i	0.890019	−	0.513853i
$868$	−1.68082	−	9.53243i	−0.0570509	−	0.323552i
$869$	−8.53072	−	9.07679i	−0.289385	−	0.307909i
$870$	−11.4599	−	13.6574i	−0.388528	−	0.463029i
$871$	−2.03100	−	0.358119i	−0.0688177	−	0.0121344i
$872$	15.0296	−	5.47033i	0.508967	−	0.185249i
$873$		−	4.86108i		−	0.164523i
$874$	−11.4652	+	23.1688i	−0.387816	+	0.783696i
$875$			40.1623i			1.35773i
$876$	3.03959	−	1.10632i	0.102698	−	0.0373791i
$877$	2.56998	−	14.5751i	0.0867820	−	0.492165i	−0.910176	−	0.414222i	$-0.864054\pi$
$877$	2.56998	−	14.5751i	0.0867820	−	0.492165i	0.996958	−	0.0779429i	$-0.0248352\pi$
$878$	−26.9505	+	22.6142i	−0.909535	+	0.763191i
$879$	21.6611	−	25.8147i	0.730610	−	0.870707i
$880$	−0.343136	−	6.09234i	−0.0115671	−	0.205373i
$881$	−2.51847	−	4.36212i	−0.0848495	−	0.146964i	0.820478	−	0.571679i	$-0.193708\pi$
$881$	−2.51847	−	4.36212i	−0.0848495	−	0.146964i	−0.905327	+	0.424715i	$0.860374\pi$
$882$	2.33333	−	4.04145i	0.0785674	−	0.136083i
$883$	38.2042	+	13.9052i	1.28568	+	0.467948i	0.892305	−	0.451433i	$-0.149087\pi$
$883$	38.2042	+	13.9052i	1.28568	+	0.467948i	0.393370	+	0.919380i	$0.371309\pi$
$884$	0.637212	−	1.75072i	0.0214317	−	0.0588832i
$885$	−20.1636	+	34.9244i	−0.677793	+	1.17397i
$886$	6.96436	+	12.0626i	0.233972	+	0.405252i
$887$	−1.23113	−	6.98210i	−0.0413374	−	0.234436i	0.957138	−	0.289632i	$-0.0935328\pi$
$887$	−1.23113	−	6.98210i	−0.0413374	−	0.234436i	−0.998476	+	0.0551957i	$0.982422\pi$
$888$	3.54018	+	2.97056i	0.118801	+	0.0996856i
$889$	−28.3950	−	33.8398i	−0.952338	−	1.13495i
$890$	−15.5499	−	2.74186i	−0.521232	−	0.0919073i
$891$	−36.0316	+	8.46681i	−1.20710	+	0.283649i
$892$		−	17.2439i		−	0.577370i
$893$	−20.7354	−	6.07474i	−0.693883	−	0.203283i
$894$	2.77644			0.0928580
$895$	14.1030	+	38.7476i	0.471410	+	1.29519i
$896$	3.24983	+	0.573033i	0.108569	+	0.0191437i
$897$	−9.73810	−	11.6054i	−0.325146	−	0.387494i
$898$	−24.9715	+	29.7598i	−0.833308	+	0.993098i
$899$	13.6591	−	2.40847i	0.455556	−	0.0803269i
$900$	−0.968816	−	1.67804i	−0.0322939	−	0.0559346i
$901$	3.65746	−	6.33490i	0.121848	−	0.211046i
$902$	−34.0586	−	17.1866i	−1.13403	−	0.572251i
$903$	7.65309	−	21.0267i	0.254679	−	0.699724i
$904$	16.4914	+	9.52132i	0.548496	+	0.316674i
$905$	11.2561	−	6.49871i	0.374166	−	0.216025i
$906$	−38.3368	+	6.75980i	−1.27365	+	0.224579i
$907$	4.12430	−	4.91515i	0.136945	−	0.163205i	−0.693213	−	0.720733i	$-0.743806\pi$
$907$	4.12430	−	4.91515i	0.136945	−	0.163205i	0.830158	+	0.557528i	$0.188250\pi$
$908$	17.8444	−	14.9733i	0.592189	−	0.496905i
$909$	16.8356	+	2.96857i	0.558401	+	0.0984611i
$910$	−2.58847	−	7.11175i	−0.0858068	−	0.235752i
$911$		−	55.2133i		−	1.82930i	−0.404247	−	0.914650i	$-0.632466\pi$
$911$		−	55.2133i		−	1.82930i	0.404247	−	0.914650i	$-0.367534\pi$
$912$	2.51144	−	8.57249i	0.0831620	−	0.283863i
$913$	−2.41939	+	20.3610i	−0.0800701	+	0.673852i
$914$	−5.82071	−	15.9923i	−0.192532	−	0.528978i
$915$	0.330103	−	1.87211i	0.0109129	−	0.0618900i
$916$	−0.297810	+	0.249892i	−0.00983991	+	0.00825667i
$917$	−29.0805	−	24.4014i	−0.960322	−	0.805806i
$918$	0.957514	+	5.43033i	0.0316027	+	0.179228i
$919$	−29.5226	+	17.0449i	−0.973862	+	0.562259i	−0.900411	−	0.435039i	$-0.856734\pi$
$919$	−29.5226	+	17.0449i	−0.973862	+	0.562259i	−0.0734506	+	0.997299i	$0.523401\pi$
$920$	−5.45552	+	9.44923i	−0.179863	+	0.311532i
$921$	6.67122	−	18.3290i	0.219824	−	0.603962i
$922$	−6.45730	+	17.7413i	−0.212660	+	0.584278i
$923$	13.1424	+	7.58778i	0.432588	+	0.249755i
$924$	8.84436	+	20.6119i	0.290958	+	0.678083i
$925$	3.58674	−	0.632439i	0.117931	−	0.0207945i
$926$	−5.49204	−	4.60837i	−0.180480	−	0.151440i
$927$	−8.49273	−	10.1212i	−0.278938	−	0.332425i
$928$	−0.821104	+	4.65671i	−0.0269540	+	0.152864i
$929$	2.55013	−	0.928171i	0.0836670	−	0.0304523i	−0.299848	−	0.953987i	$-0.596936\pi$
$929$	2.55013	−	0.928171i	0.0836670	−	0.0304523i	0.383515	+	0.923535i	$0.374714\pi$
$930$	−11.0593			−0.362650
$931$	7.51994	−	15.1963i	0.246456	−	0.498037i
$932$		−	23.4101i		−	0.766824i
$933$	−13.8254	−	37.9850i	−0.452624	−	1.24357i
$934$	−0.176835	+	1.00288i	−0.00578622	+	0.0328153i
$935$	−4.99696	−	7.62929i	−0.163418	−	0.249504i
$936$	1.14563	+	0.961294i	0.0374460	+	0.0314209i
$937$	30.1623	−	5.31843i	0.985359	−	0.173745i	0.342324	−	0.939582i	$-0.388786\pi$
$937$	30.1623	−	5.31843i	0.985359	−	0.173745i	0.643035	+	0.765836i	$0.277675\pi$
$938$	−2.72980	−	4.72816i	−0.0891312	−	0.154380i
$939$	−13.7849	−	7.95874i	−0.449855	−	0.259724i
$940$	−8.56994	−	3.11920i	−0.279520	−	0.101737i
$941$	56.1407	+	20.4335i	1.83013	+	0.666114i	0.992853	+	0.119340i	$0.0380778\pi$
$941$	56.1407	+	20.4335i	1.83013	+	0.666114i	0.837280	+	0.546774i	$0.184144\pi$
$942$	3.41835	+	1.97358i	0.111376	+	0.0643028i
$943$	34.1075	+	59.0760i	1.11069	+	1.92378i
$944$	10.5333	−	1.85730i	0.342829	−	0.0604500i
$945$	17.1588	+	14.3980i	0.558176	+	0.468366i
$946$	6.01270	+	9.18009i	0.195490	+	0.298471i
$947$	3.22505	−	18.2902i	0.104800	−	0.594350i	−0.886500	−	0.462728i	$-0.846871\pi$
$947$	3.22505	−	18.2902i	0.104800	−	0.594350i	0.991300	−	0.131622i	$-0.0420184\pi$
$948$	−2.63244	−	7.23256i	−0.0854975	−	0.234903i
$949$			1.96754i			0.0638692i
$950$	−3.90310	−	5.85881i	−0.126633	−	0.190085i
$951$	−34.5938			−1.12178
$952$	4.63470	−	1.68689i	0.150211	−	0.0546725i
$953$	1.23467	−	7.00215i	0.0399948	−	0.226822i	−0.958258	−	0.285904i	$-0.907706\pi$
$953$	1.23467	−	7.00215i	0.0399948	−	0.226822i	0.998253	+	0.0590819i	$0.0188173\pi$
$954$	3.77428	+	4.49801i	0.122197	+	0.145628i
$955$	27.0681	+	22.7129i	0.875904	+	0.734971i
$956$	19.0885	−	3.36581i	0.617365	−	0.108858i
$957$	−29.5350	+	12.6732i	−0.954732	+	0.409665i
$958$	33.5530	+	19.3718i	1.08405	+	0.625876i
$959$	−18.2548	+	50.1546i	−0.589477	+	1.61958i
$960$	1.28955	−	3.54301i	0.0416200	−	0.114350i
$961$	−11.1981	+	19.3958i	−0.361231	+	0.625670i
$962$	−2.43443	+	1.40552i	−0.0784891	+	0.0453157i
$963$	1.41303	+	8.01368i	0.0455342	+	0.258237i
$964$	10.7501	+	9.02038i	0.346236	+	0.290527i
$965$	29.7823	−	24.9903i	0.958725	−	0.804466i
$966$	6.96435	−	39.4968i	0.224074	−	1.27079i
$967$	14.1214	+	38.7983i	0.454114	+	1.24767i	0.929804	+	0.368056i	$0.119976\pi$
$967$	14.1214	+	38.7983i	0.454114	+	1.24767i	−0.475690	+	0.879613i	$0.657801\pi$
$968$	−10.6937	−	2.57774i	−0.343709	−	0.0828518i
$969$	−3.15552	−	12.9727i	−0.101370	−	0.416744i
$970$		−	7.45462i		−	0.239353i
$971$	1.57193	+	4.31885i	0.0504457	+	0.138599i	0.962357	−	0.271790i	$-0.0876155\pi$
$971$	1.57193	+	4.31885i	0.0504457	+	0.138599i	−0.911911	+	0.410388i	$0.865393\pi$
$972$	−11.6228	−	2.04941i	−0.372802	−	0.0657350i
$973$	12.0660	−	10.1246i	0.386818	−	0.324579i
$974$	1.98553	−	2.36626i	0.0636205	−	0.0758200i
$975$	4.06308	−	0.716431i	0.130123	−	0.0229442i
$976$	−0.436640	+	0.252094i	−0.0139765	+	0.00806935i
$977$	5.30884	+	3.06506i	0.169845	+	0.0980600i	0.582513	−	0.812822i	$-0.302070\pi$
$977$	5.30884	+	3.06506i	0.169845	+	0.0980600i	−0.412668	+	0.910882i	$0.635403\pi$
$978$	−14.6549	+	40.2641i	−0.468613	+	1.28750i
$979$	−12.8233	+	25.4118i	−0.409834	+	0.812166i
$980$	3.57824	−	6.19769i	0.114303	−	0.197978i
$981$	9.59434	+	16.6179i	0.306324	+	0.530568i
$982$	34.0861	−	6.01029i	1.08773	−	0.191796i
$983$	−18.1058	+	21.5776i	−0.577485	+	0.688220i	−0.973149	−	0.230175i	$-0.926070\pi$
$983$	−18.1058	+	21.5776i	−0.577485	+	0.688220i	0.395664	+	0.918395i	$0.370514\pi$
$984$	−15.1519	−	18.0574i	−0.483026	−	0.575648i
$985$	−26.2971	−	4.63689i	−0.837895	−	0.147743i
$986$	2.41716	+	6.64110i	0.0769781	+	0.211496i
$987$	33.5225			1.06703
$988$	4.37743	+	3.21892i	0.139265	+	0.102407i
$989$		−	19.6225i		−	0.623961i
$990$	7.12663	−	1.67464i	0.226499	−	0.0532235i
$991$	8.05815	+	1.42087i	0.255975	+	0.0451354i	0.300163	−	0.953888i	$-0.402959\pi$
$991$	8.05815	+	1.42087i	0.255975	+	0.0451354i	−0.0441877	+	0.999023i	$0.514070\pi$
$992$	1.88543	+	2.24697i	0.0598624	+	0.0713413i
$993$	−31.2145	−	26.1921i	−0.990563	−	0.831181i
$994$	6.97620	+	39.5640i	0.221271	+	1.25489i
$995$	−1.74318	−	3.01927i	−0.0552624	−	0.0957173i
$996$	−6.33474	+	10.9721i	−0.200724	+	0.347664i
$997$	0.702613	−	1.93041i	0.0222520	−	0.0611368i	−0.928069	−	0.372408i	$-0.878532\pi$
$997$	0.702613	−	1.93041i	0.0222520	−	0.0611368i	0.950321	+	0.311271i	$0.100755\pi$
$998$	28.0619	+	10.2137i	0.888283	+	0.323308i
$999$	4.15987	−	7.20510i	0.131612	−	0.227959i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.q.a.109.9	✓	60
11.10	odd	2		418.2.q.b.109.9	yes	60
19.15	odd	18		418.2.q.b.395.9	yes	60
209.186	even	18	inner	418.2.q.a.395.9	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.q.a.109.9	✓	60	1.1	even	1	trivial
418.2.q.a.395.9	yes	60	209.186	even	18	inner
418.2.q.b.109.9	yes	60	11.10	odd	2
418.2.q.b.395.9	yes	60	19.15	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.q (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(2.01819 + 0.355861i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.40938 + 1.18261i) q^{5} +(2.01819 - 0.355861i) q^{6} +(-2.85785 + 1.64998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.12738 + 0.410331i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(2.01819 + 0.355861i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.40938 + 1.18261i) q^{5} +(2.01819 - 0.355861i) q^{6} +(-2.85785 + 1.64998i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.12738 + 0.410331i) q^{9} +(1.72887 + 0.629256i) q^{10} +(1.98564 - 2.65654i) q^{11} +(1.77477 - 1.02466i) q^{12} +(0.216459 + 1.22760i) q^{13} +(-2.12118 + 2.52792i) q^{14} +(2.42356 + 2.88829i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.511185 - 1.40447i) q^{17} +1.19973 q^{18} +(4.34995 - 0.279109i) q^{19} +1.83982 q^{20} +(-6.35486 + 2.31298i) q^{21} +(0.957300 - 3.17546i) q^{22} +(-4.54302 + 3.81204i) q^{23} +(1.31728 - 1.56987i) q^{24} +(-0.280452 - 1.59052i) q^{25} +(0.623269 + 1.07953i) q^{26} +(-3.19506 - 1.84467i) q^{27} +(-1.12865 + 3.10095i) q^{28} +(-4.44338 - 1.61726i) q^{29} +(3.26525 + 1.88520i) q^{30} +(-2.54023 + 1.46660i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(4.95276 - 4.65480i) q^{33} +(-0.960713 - 1.14493i) q^{34} +(-5.97911 - 1.05428i) q^{35} +(1.12738 - 0.410331i) q^{36} +2.25507i q^{37} +(3.99216 - 1.75005i) q^{38} +2.55456i q^{39} +(1.72887 - 0.629256i) q^{40} +(1.99738 - 11.3277i) q^{41} +(-5.18053 + 4.34698i) q^{42} +(-2.12683 + 2.53466i) q^{43} +(-0.186505 - 3.31138i) q^{44} +(1.10364 + 1.91157i) q^{45} +(-2.96524 + 5.13595i) q^{46} +(-4.65803 - 1.69538i) q^{47} +(0.700910 - 1.92573i) q^{48} +(1.94488 - 3.36864i) q^{49} +(-0.807529 - 1.39868i) q^{50} +(-0.531872 - 3.01640i) q^{51} +(0.954904 + 0.801260i) q^{52} +(3.14594 + 3.74919i) q^{53} +(-3.63329 - 0.640647i) q^{54} +(5.94020 - 1.39585i) q^{55} +3.29996i q^{56} +(8.87836 + 0.984686i) q^{57} -4.72855 q^{58} +(3.65817 + 10.0507i) q^{59} +(3.71311 + 0.654721i) q^{60} +(-0.324086 - 0.386231i) q^{61} +(-1.88543 + 2.24697i) q^{62} +(-3.89892 + 0.687484i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.14670 + 1.98615i) q^{65} +(3.06204 - 6.06803i) q^{66} +(-0.565853 + 1.55467i) q^{67} +(-1.29437 - 0.747302i) q^{68} +(-10.5252 + 6.07674i) q^{69} +(-5.97911 + 1.05428i) q^{70} +(7.82540 - 9.32595i) q^{71} +(0.919046 - 0.771171i) q^{72} +(1.55443 + 0.274087i) q^{73} +(0.771281 + 2.11908i) q^{74} -3.30978i q^{75} +(3.15285 - 3.00991i) q^{76} +(-1.29142 + 10.8683i) q^{77} +(0.873712 + 2.40050i) q^{78} +(0.652177 - 3.69868i) q^{79} +(1.40938 - 1.18261i) q^{80} +(-8.54893 - 7.17341i) q^{81} +(-1.99738 - 11.3277i) q^{82} +(-5.35400 + 3.09114i) q^{83} +(-3.38135 + 5.85667i) q^{84} +(0.940489 - 2.58397i) q^{85} +(-1.13166 + 3.10922i) q^{86} +(-8.39207 - 4.84516i) q^{87} +(-1.30781 - 3.04789i) q^{88} +(-8.45183 + 1.49029i) q^{89} +(1.69088 + 1.41882i) q^{90} +(-2.64413 - 3.15115i) q^{91} +(-1.02982 + 5.84039i) q^{92} +(-5.64858 + 2.05591i) q^{93} -4.95697 q^{94} +(6.46084 + 4.75095i) q^{95} -2.04932i q^{96} +(-1.38580 - 3.80746i) q^{97} +(0.675451 - 3.83067i) q^{98} +(3.32863 - 2.18016i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9}+O(q^{10}) \) 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9	\( 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9} + 3 q^{11} + 6 q^{13} - 12 q^{14} + 24 q^{15} - 6 q^{17} + 60 q^{18} - 30 q^{19} - 12 q^{20} + 12 q^{21} + 12 q^{22} + 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} + 6 q^{28} - 3 q^{29} - 9 q^{31} - 42 q^{33} - 6 q^{34} - 24 q^{35} - 3 q^{36} + 6 q^{38} + 15 q^{41} + 6 q^{42} - 3 q^{43} + 12 q^{44} - 48 q^{45} + 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} + 36 q^{50} - 45 q^{51} - 3 q^{52} + 24 q^{53} - 27 q^{54} + 6 q^{55} + 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} + 54 q^{61} - 66 q^{63} - 30 q^{64} - 63 q^{66} + 9 q^{67} - 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} - 6 q^{72} + 12 q^{74} + 18 q^{77} + 36 q^{79} - 93 q^{81} - 15 q^{82} - 36 q^{83} + 24 q^{84} - 60 q^{85} - 3 q^{86} + 54 q^{87} - 3 q^{88} - 3 q^{89} - 24 q^{90} - 12 q^{91} - 102 q^{93} - 12 q^{94} + 24 q^{95} - 6 q^{97} - 18 q^{98} - 78 q^{99}+O(q^{100}) \) 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9 + 3 * q^11 + 6 * q^13 - 12 * q^14 + 24 * q^15 - 6 * q^17 + 60 * q^18 - 30 * q^19 - 12 * q^20 + 12 * q^21 + 12 * q^22 + 3 * q^24 - 12 * q^25 + 6 * q^26 + 9 * q^27 + 6 * q^28 - 3 * q^29 - 9 * q^31 - 42 * q^33 - 6 * q^34 - 24 * q^35 - 3 * q^36 + 6 * q^38 + 15 * q^41 + 6 * q^42 - 3 * q^43 + 12 * q^44 - 48 * q^45 + 3 * q^46 + 54 * q^47 - 6 * q^48 + 6 * q^49 + 36 * q^50 - 45 * q^51 - 3 * q^52 + 24 * q^53 - 27 * q^54 + 6 * q^55 + 30 * q^57 + 24 * q^58 - 39 * q^59 + 12 * q^60 + 54 * q^61 - 66 * q^63 - 30 * q^64 - 63 * q^66 + 9 * q^67 - 27 * q^68 + 54 * q^69 - 24 * q^70 - 33 * q^71 - 6 * q^72 + 12 * q^74 + 18 * q^77 + 36 * q^79 - 93 * q^81 - 15 * q^82 - 36 * q^83 + 24 * q^84 - 60 * q^85 - 3 * q^86 + 54 * q^87 - 3 * q^88 - 3 * q^89 - 24 * q^90 - 12 * q^91 - 102 * q^93 - 12 * q^94 + 24 * q^95 - 6 * q^97 - 18 * q^98 - 78 * q^99

Introduction

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