LMFDB - Embedded newform 666.2.y.a.229.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [666,2,Mod(229,666)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(666, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([6, 16]))

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

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

chi := DirichletCharacter("666.229");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 666 = 2 \cdot 3^{2} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	666.y (of order $9$, 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:	$5.31803677462$
Analytic rank:	$0$
Dimension:	$114$
Relative dimension:	$19$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			229.16
Character	$\chi$	$=$	666.229
Dual form			666.2.y.a.349.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 + 0.642788i) q^{2} +(1.54774 + 0.777500i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-3.51100 - 1.27790i) q^{5} +(0.685869 + 1.59047i) q^{6} +(2.18101 - 1.83009i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.79099 + 2.40673i) q^{9} +O(q^{10})$	\(q+(0.766044 + 0.642788i) q^{2} +(1.54774 + 0.777500i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-3.51100 - 1.27790i) q^{5} +(0.685869 + 1.59047i) q^{6} +(2.18101 - 1.83009i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.79099 + 2.40673i) q^{9} +(-1.86817 - 3.23576i) q^{10} +5.22684 q^{11} +(-0.496926 + 1.65924i) q^{12} +(1.00755 + 5.71409i) q^{13} +2.84711 q^{14} +(-4.44055 - 4.70766i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(3.03140 + 2.54364i) q^{17} +(-0.175041 + 2.99489i) q^{18} +(-0.983644 - 0.358017i) q^{19} +(0.648807 - 3.67957i) q^{20} +(4.79853 - 1.13676i) q^{21} +(4.00399 + 3.35975i) q^{22} -4.13581 q^{23} +(-1.44720 + 0.951631i) q^{24} +(6.86389 + 5.75949i) q^{25} +(-2.90112 + 5.02489i) q^{26} +(0.900747 + 5.11749i) q^{27} +(2.18101 + 1.83009i) q^{28} -7.82423 q^{29} +(-0.375631 - 6.46060i) q^{30} +(5.37631 - 9.31204i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(8.08979 + 4.06387i) q^{33} +(0.687162 + 3.89709i) q^{34} +(-9.99620 + 3.63832i) q^{35} +(-2.05917 + 2.18170i) q^{36} +(5.71033 + 2.09574i) q^{37} +(-0.523386 - 0.906531i) q^{38} +(-2.88328 + 9.62729i) q^{39} +(2.86220 - 2.40167i) q^{40} +(-1.13716 - 6.44915i) q^{41} +(4.40658 + 2.21363i) q^{42} +(0.693433 + 1.20106i) q^{43} +(0.907632 + 5.14744i) q^{44} +(-3.21260 - 10.7387i) q^{45} +(-3.16822 - 2.65845i) q^{46} +(1.59108 - 2.75583i) q^{47} +(-1.72032 - 0.201253i) q^{48} +(0.192059 - 1.08922i) q^{49} +(1.55592 + 8.82404i) q^{50} +(2.71413 + 6.29381i) q^{51} +(-5.45232 + 1.98448i) q^{52} +(-0.164197 + 0.931208i) q^{53} +(-2.59944 + 4.49921i) q^{54} +(-18.3515 - 6.67939i) q^{55} +(0.494395 + 2.80385i) q^{56} +(-1.24407 - 1.31890i) q^{57} +(-5.99371 - 5.02932i) q^{58} +(-6.44402 - 5.40718i) q^{59} +(3.86505 - 5.19056i) q^{60} +(-1.75535 - 0.638894i) q^{61} +(10.1042 - 3.67761i) q^{62} +(8.31069 + 1.97145i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(3.76454 - 21.3497i) q^{65} +(3.58493 + 8.31312i) q^{66} +(-11.5948 - 4.22015i) q^{67} +(-1.97860 + 3.42704i) q^{68} +(-6.40116 - 3.21559i) q^{69} +(-9.99620 - 3.63832i) q^{70} +(-12.6088 - 4.58922i) q^{71} +(-2.97979 + 0.347675i) q^{72} +10.7133 q^{73} +(3.02726 + 5.27596i) q^{74} +(6.14550 + 14.2508i) q^{75} +(0.181770 - 1.03087i) q^{76} +(11.3998 - 9.56557i) q^{77} +(-8.39703 + 5.52159i) q^{78} +(5.37871 - 4.51328i) q^{79} +3.73633 q^{80} +(-2.58472 + 8.62086i) q^{81} +(3.27432 - 5.67129i) q^{82} +(1.37846 - 7.81764i) q^{83} +(1.95274 + 4.52823i) q^{84} +(-7.39272 - 12.8046i) q^{85} +(-0.240827 + 1.36580i) q^{86} +(-12.1099 - 6.08334i) q^{87} +(-2.61342 + 4.52658i) q^{88} +(-0.177319 + 1.00563i) q^{89} +(4.44174 - 10.2914i) q^{90} +(12.6548 + 10.6186i) q^{91} +(-0.718177 - 4.07298i) q^{92} +(15.5612 - 10.2325i) q^{93} +(2.99025 - 1.08836i) q^{94} +(2.99607 + 2.51400i) q^{95} +(-1.18848 - 1.25997i) q^{96} +(-2.51734 + 4.36017i) q^{97} +(0.847261 - 0.710937i) q^{98} +(9.36122 + 12.5796i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 114 q - 3 q^{3} - 3 q^{7} - 57 q^{8} - 3 q^{9}+O(q^{10}) $ 114 * q - 3 * q^3 - 3 * q^7 - 57 * q^8 - 3 * q^9	$ 114 q - 3 q^{3} - 3 q^{7} - 57 q^{8} - 3 q^{9} - 3 q^{10} + 12 q^{11} - 3 q^{12} + 6 q^{13} + 3 q^{15} - 3 q^{18} - 12 q^{21} - 36 q^{23} + 6 q^{24} - 18 q^{26} + 3 q^{27} - 3 q^{28} - 6 q^{30} - 6 q^{31} - 21 q^{33} + 9 q^{35} - 3 q^{37} - 15 q^{38} + 21 q^{39} + 30 q^{41} + 15 q^{42} - 42 q^{43} + 36 q^{45} - 6 q^{46} + 9 q^{49} - 3 q^{52} + 3 q^{53} - 18 q^{54} + 6 q^{56} + 39 q^{57} + 9 q^{58} + 3 q^{59} + 9 q^{60} - 24 q^{61} + 15 q^{62} + 75 q^{63} - 57 q^{64} + 36 q^{65} + 9 q^{66} - 30 q^{67} - 42 q^{69} + 9 q^{70} + 27 q^{71} - 3 q^{72} - 72 q^{73} + 12 q^{74} + 3 q^{75} + 12 q^{77} - 42 q^{78} - 27 q^{79} + 6 q^{80} + 45 q^{81} - 24 q^{82} - 18 q^{83} - 3 q^{86} + 72 q^{87} - 6 q^{88} - 30 q^{89} - 9 q^{90} + 9 q^{91} - 6 q^{92} + 24 q^{93} - 33 q^{94} - 60 q^{95} - 3 q^{96} - 36 q^{97} - 27 q^{98} + 36 q^{99}+O(q^{100}) $ 114 * q - 3 * q^3 - 3 * q^7 - 57 * q^8 - 3 * q^9 - 3 * q^10 + 12 * q^11 - 3 * q^12 + 6 * q^13 + 3 * q^15 - 3 * q^18 - 12 * q^21 - 36 * q^23 + 6 * q^24 - 18 * q^26 + 3 * q^27 - 3 * q^28 - 6 * q^30 - 6 * q^31 - 21 * q^33 + 9 * q^35 - 3 * q^37 - 15 * q^38 + 21 * q^39 + 30 * q^41 + 15 * q^42 - 42 * q^43 + 36 * q^45 - 6 * q^46 + 9 * q^49 - 3 * q^52 + 3 * q^53 - 18 * q^54 + 6 * q^56 + 39 * q^57 + 9 * q^58 + 3 * q^59 + 9 * q^60 - 24 * q^61 + 15 * q^62 + 75 * q^63 - 57 * q^64 + 36 * q^65 + 9 * q^66 - 30 * q^67 - 42 * q^69 + 9 * q^70 + 27 * q^71 - 3 * q^72 - 72 * q^73 + 12 * q^74 + 3 * q^75 + 12 * q^77 - 42 * q^78 - 27 * q^79 + 6 * q^80 + 45 * q^81 - 24 * q^82 - 18 * q^83 - 3 * q^86 + 72 * q^87 - 6 * q^88 - 30 * q^89 - 9 * q^90 + 9 * q^91 - 6 * q^92 + 24 * q^93 - 33 * q^94 - 60 * q^95 - 3 * q^96 - 36 * q^97 - 27 * q^98 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/666\mathbb{Z}\right)^\times$.

$n$	$371$	$631$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{8}{9}\right)$

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 $

$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$3$	1.54774	+	0.777500i	0.893587	+	0.448890i
$3$	1.54774	+	0.777500i	0.893587	+	0.448890i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−3.51100	−	1.27790i	−1.57017	−	0.571494i	−0.597131	−	0.802144i	$-0.703693\pi$
$5$	−3.51100	−	1.27790i	−1.57017	−	0.571494i	−0.973037	+	0.230649i	$0.925915\pi$
$6$	0.685869	+	1.59047i	0.280005	+	0.649305i
$7$	2.18101	−	1.83009i	0.824345	−	0.691707i	−0.129641	−	0.991561i	$-0.541382\pi$
$7$	2.18101	−	1.83009i	0.824345	−	0.691707i	0.953985	+	0.299854i	$0.0969379\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	1.79099	+	2.40673i	0.596996	+	0.802244i
$10$	−1.86817	−	3.23576i	−0.590766	−	1.02324i
$11$	5.22684			1.57595			0.787976	−	0.615705i	$-0.211129\pi$
$11$	5.22684			1.57595			0.787976	+	0.615705i	$0.211129\pi$
$12$	−0.496926	+	1.65924i	−0.143450	+	0.478980i
$13$	1.00755	+	5.71409i	0.279444	+	1.58480i	0.724483	+	0.689293i	$0.242079\pi$
$13$	1.00755	+	5.71409i	0.279444	+	1.58480i	−0.445039	+	0.895511i	$0.646810\pi$
$14$	2.84711			0.760921
$15$	−4.44055	−	4.70766i	−1.14654	−	1.21551i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	3.03140	+	2.54364i	0.735222	+	0.616924i	0.931550	−	0.363614i	$-0.118457\pi$
$17$	3.03140	+	2.54364i	0.735222	+	0.616924i	−0.196328	+	0.980538i	$0.562902\pi$
$18$	−0.175041	+	2.99489i	−0.0412576	+	0.705902i
$19$	−0.983644	−	0.358017i	−0.225663	−	0.0821348i	0.226714	−	0.973961i	$-0.427202\pi$
$19$	−0.983644	−	0.358017i	−0.225663	−	0.0821348i	−0.452377	+	0.891827i	$0.649424\pi$
$20$	0.648807	−	3.67957i	0.145078	−	0.822776i
$21$	4.79853	−	1.13676i	1.04712	−	0.248061i
$22$	4.00399	+	3.35975i	0.853655	+	0.716301i
$23$	−4.13581			−0.862377			−0.431188	−	0.902262i	$-0.641906\pi$
$23$	−4.13581			−0.862377			−0.431188	+	0.902262i	$0.641906\pi$
$24$	−1.44720	+	0.951631i	−0.295409	+	0.194251i
$25$	6.86389	+	5.75949i	1.37278	+	1.15190i
$26$	−2.90112	+	5.02489i	−0.568957	+	0.985462i
$27$	0.900747	+	5.11749i	0.173349	+	0.984860i
$28$	2.18101	+	1.83009i	0.412172	+	0.345854i
$29$	−7.82423			−1.45292			−0.726461	−	0.687207i	$-0.758836\pi$
$29$	−7.82423			−1.45292			−0.726461	+	0.687207i	$0.758836\pi$
$30$	−0.375631	−	6.46060i	−0.0685805	−	1.17954i
$31$	5.37631	−	9.31204i	0.965614	−	1.67249i	0.257656	−	0.966237i	$-0.417050\pi$
$31$	5.37631	−	9.31204i	0.965614	−	1.67249i	0.707958	−	0.706255i	$-0.249617\pi$
$32$	−0.939693	−	0.342020i	−0.166116	−	0.0604612i
$33$	8.08979	+	4.06387i	1.40825	+	0.707429i
$34$	0.687162	+	3.89709i	0.117847	+	0.668345i
$35$	−9.99620	+	3.63832i	−1.68967	+	0.614988i
$36$	−2.05917	+	2.18170i	−0.343194	+	0.363617i
$37$	5.71033	+	2.09574i	0.938773	+	0.344537i
$37$	5.71033	+	2.09574i	0.938773	+	0.344537i
$38$	−0.523386	−	0.906531i	−0.0849044	−	0.147059i
$39$	−2.88328	+	9.62729i	−0.461695	+	1.54160i
$40$	2.86220	−	2.40167i	0.452553	−	0.379737i
$41$	−1.13716	−	6.44915i	−0.177594	−	1.00719i	−0.935107	−	0.354367i	$-0.884696\pi$
$41$	−1.13716	−	6.44915i	−0.177594	−	1.00719i	0.757512	−	0.652821i	$-0.226415\pi$
$42$	4.40658	+	2.21363i	0.679950	+	0.341570i
$43$	0.693433	+	1.20106i	0.105747	+	0.183160i	0.914043	−	0.405617i	$-0.132943\pi$
$43$	0.693433	+	1.20106i	0.105747	+	0.183160i	−0.808296	+	0.588777i	$0.799610\pi$
$44$	0.907632	+	5.14744i	0.136831	+	0.776005i
$45$	−3.21260	−	10.7387i	−0.478906	−	1.60084i
$46$	−3.16822	−	2.65845i	−0.467128	−	0.391967i
$47$	1.59108	−	2.75583i	0.232083	−	0.401980i	−0.726338	−	0.687338i	$-0.758779\pi$
$47$	1.59108	−	2.75583i	0.232083	−	0.401980i	0.958421	+	0.285358i	$0.0921126\pi$
$48$	−1.72032	−	0.201253i	−0.248307	−	0.0290484i
$49$	0.192059	−	1.08922i	0.0274369	−	0.155603i
$50$	1.55592	+	8.82404i	0.220040	+	1.24791i
$51$	2.71413	+	6.29381i	0.380054	+	0.881309i
$52$	−5.45232	+	1.98448i	−0.756101	+	0.275198i
$53$	−0.164197	+	0.931208i	−0.0225542	+	0.127911i	−0.994006	−	0.109326i	$-0.965131\pi$
$53$	−0.164197	+	0.931208i	−0.0225542	+	0.127911i	0.971452	+	0.237237i	$0.0762419\pi$
$54$	−2.59944	+	4.49921i	−0.353739	+	0.612265i
$55$	−18.3515	−	6.67939i	−2.47451	−	0.900648i
$56$	0.494395	+	2.80385i	0.0660663	+	0.374681i
$57$	−1.24407	−	1.31890i	−0.164781	−	0.174693i
$58$	−5.99371	−	5.02932i	−0.787012	−	0.660382i
$59$	−6.44402	−	5.40718i	−0.838941	−	0.703955i	0.118385	−	0.992968i	$-0.462228\pi$
$59$	−6.44402	−	5.40718i	−0.838941	−	0.703955i	−0.957325	+	0.289013i	$0.906673\pi$
$60$	3.86505	−	5.19056i	0.498975	−	0.670099i
$61$	−1.75535	−	0.638894i	−0.224749	−	0.0818020i	0.227191	−	0.973850i	$-0.427046\pi$
$61$	−1.75535	−	0.638894i	−0.224749	−	0.0818020i	−0.451940	+	0.892048i	$0.649268\pi$
$62$	10.1042	−	3.67761i	1.28323	−	0.467057i
$63$	8.31069	+	1.97145i	1.04705	+	0.248379i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	3.76454	−	21.3497i	0.466933	−	2.64811i
$66$	3.58493	+	8.31312i	0.441275	+	1.02327i
$67$	−11.5948	−	4.22015i	−1.41653	−	0.515573i	−0.483488	−	0.875351i	$-0.660630\pi$
$67$	−11.5948	−	4.22015i	−1.41653	−	0.515573i	−0.933038	+	0.359777i	$0.882853\pi$
$68$	−1.97860	+	3.42704i	−0.239941	+	0.415590i
$69$	−6.40116	−	3.21559i	−0.770609	−	0.387112i
$70$	−9.99620	−	3.63832i	−1.19477	−	0.434862i
$71$	−12.6088	−	4.58922i	−1.49639	−	0.544640i	−0.541264	−	0.840853i	$-0.682054\pi$
$71$	−12.6088	−	4.58922i	−1.49639	−	0.544640i	−0.955122	+	0.296212i	$0.904276\pi$
$72$	−2.97979	+	0.347675i	−0.351171	+	0.0409739i
$73$	10.7133			1.25390			0.626950	−	0.779060i	$-0.284303\pi$
$73$	10.7133			1.25390			0.626950	+	0.779060i	$0.284303\pi$
$74$	3.02726	+	5.27596i	0.351911	+	0.613318i
$75$	6.14550	+	14.2508i	0.709622	+	1.64555i
$76$	0.181770	−	1.03087i	0.0208505	−	0.118249i
$77$	11.3998	−	9.56557i	1.29913	−	1.09010i
$78$	−8.39703	+	5.52159i	−0.950776	+	0.625197i
$79$	5.37871	−	4.51328i	0.605153	−	0.507783i	−0.287945	−	0.957647i	$-0.592972\pi$
$79$	5.37871	−	4.51328i	0.605153	−	0.507783i	0.893097	+	0.449864i	$0.148527\pi$
$80$	3.73633			0.417734
$81$	−2.58472	+	8.62086i	−0.287191	+	0.957873i
$82$	3.27432	−	5.67129i	0.361588	−	0.626289i
$83$	1.37846	−	7.81764i	0.151306	−	0.858097i	−0.810780	−	0.585351i	$-0.800957\pi$
$83$	1.37846	−	7.81764i	0.151306	−	0.858097i	0.962086	−	0.272747i	$-0.0879320\pi$
$84$	1.95274	+	4.52823i	0.213062	+	0.494070i
$85$	−7.39272	−	12.8046i	−0.801853	−	1.38885i
$86$	−0.240827	+	1.36580i	−0.0259690	+	0.147278i
$87$	−12.1099	−	6.08334i	−1.29831	−	0.652202i
$88$	−2.61342	+	4.52658i	−0.278592	+	0.482535i
$89$	−0.177319	+	1.00563i	−0.0187958	+	0.106596i	−0.992762	−	0.120096i	$-0.961680\pi$
$89$	−0.177319	+	1.00563i	−0.0187958	+	0.106596i	0.973967	+	0.226692i	$0.0727910\pi$
$90$	4.44174	−	10.2914i	0.468201	−	1.08481i
$91$	12.6548	+	10.6186i	1.32658	+	1.11313i
$92$	−0.718177	−	4.07298i	−0.0748751	−	0.424638i
$93$	15.5612	−	10.2325i	1.61362	−	1.06106i
$94$	2.99025	−	1.08836i	0.308421	−	0.112256i
$95$	2.99607	+	2.51400i	0.307390	+	0.257931i
$96$	−1.18848	−	1.25997i	−0.121299	−	0.128595i
$97$	−2.51734	+	4.36017i	−0.255597	+	0.442708i	−0.965058	−	0.262038i	$-0.915605\pi$
$97$	−2.51734	+	4.36017i	−0.255597	+	0.442708i	0.709460	+	0.704746i	$0.248939\pi$
$98$	0.847261	−	0.710937i	0.0855863	−	0.0718154i
$99$	9.36122	+	12.5796i	0.940838	+	1.26430i
$100$	−4.48008	+	7.75973i	−0.448008	+	0.775973i
$101$	0.970639	−	1.68120i	0.0965822	−	0.167285i	−0.813686	−	0.581305i	$-0.802542\pi$
$101$	0.970639	−	1.68120i	0.0965822	−	0.167285i	0.910268	+	0.414020i	$0.135876\pi$
$102$	−1.96644	+	6.56594i	−0.194706	+	0.650125i
$103$	−0.312987	−	0.542109i	−0.0308395	−	0.0534156i	0.850194	−	0.526470i	$-0.176485\pi$
$103$	−0.312987	−	0.542109i	−0.0308395	−	0.0534156i	−0.881033	+	0.473054i	$0.843151\pi$
$104$	−5.45232	−	1.98448i	−0.534644	−	0.194595i
$105$	−18.3003	−	2.14088i	−1.78593	−	0.208928i
$106$	−0.724351	+	0.607803i	−0.0703552	+	0.0590350i
$107$	−3.28830	+	2.75921i	−0.317892	+	0.266743i	−0.787745	−	0.616002i	$-0.788751\pi$
$107$	−3.28830	+	2.75921i	−0.317892	+	0.266743i	0.469853	+	0.882745i	$0.344307\pi$
$108$	−4.88333	+	1.77570i	−0.469898	+	0.170867i
$109$	−16.2756	+	5.92383i	−1.55892	+	0.567400i	−0.970488	−	0.241147i	$-0.922476\pi$
$109$	−16.2756	+	5.92383i	−1.55892	+	0.567400i	−0.588431	+	0.808548i	$0.700254\pi$
$110$	−9.76461	−	16.9128i	−0.931019	−	1.61257i
$111$	7.20867	+	7.68343i	0.684216	+	0.729279i
$112$	−1.42355	+	2.46567i	−0.134513	+	0.232984i
$113$	−2.11194	+	11.9774i	−0.198675	+	1.12674i	0.708413	+	0.705798i	$0.249412\pi$
$113$	−2.11194	+	11.9774i	−0.198675	+	1.12674i	−0.907088	+	0.420942i	$0.861700\pi$
$114$	−0.105237	−	1.81001i	−0.00985634	−	0.169523i
$115$	14.5209	+	5.28516i	1.35408	+	0.492844i
$116$	−1.35866	−	7.70536i	−0.126149	−	0.715425i
$117$	−11.9478	+	12.6588i	−1.10457	+	1.17030i
$118$	−1.46074	−	8.28428i	−0.134472	−	0.762630i
$119$	11.2666			1.03281
$120$	6.29723	−	1.49180i	0.574855	−	0.136182i
$121$	16.3199			1.48363
$122$	−0.934000	−	1.61774i	−0.0845604	−	0.146463i
$123$	3.25419	−	10.8657i	0.293420	−	0.979730i
$124$	10.1042	+	3.67761i	0.907380	+	0.330259i
$125$	−7.39825	−	12.8141i	−0.661720	−	1.14613i
$126$	5.09914	+	6.85223i	0.454267	+	0.610445i
$127$	−0.0769194	+	0.436231i	−0.00682549	+	0.0387093i	−0.988030	−	0.154260i	$-0.950701\pi$
$127$	−0.0769194	+	0.436231i	−0.00682549	+	0.0387093i	0.981205	+	0.192969i	$0.0618118\pi$
$128$	0.173648	−	0.984808i	0.0153485	−	0.0870455i
$129$	0.139428	+	2.39807i	0.0122760	+	0.211138i
$130$	16.6072	−	13.9351i	1.45654	−	1.22219i
$131$	9.80468	−	3.56861i	0.856639	−	0.311791i	0.123895	−	0.992295i	$-0.460462\pi$
$131$	9.80468	−	3.56861i	0.856639	−	0.311791i	0.732744	+	0.680504i	$0.238239\pi$
$132$	−2.59735	+	8.67257i	−0.226071	+	0.754850i
$133$	−2.80054	+	1.01931i	−0.242838	+	0.0883857i
$134$	−6.16945	−	10.6858i	−0.532959	−	0.923112i
$135$	3.37711	−	19.1186i	0.290655	−	1.64546i
$136$	−3.71856	+	1.35344i	−0.318864	+	0.116057i
$137$	−4.87784			−0.416742			−0.208371	−	0.978050i	$-0.566816\pi$
$137$	−4.87784			−0.416742			−0.208371	+	0.978050i	$0.566816\pi$
$138$	−2.83663	−	6.57787i	−0.241470	−	0.559946i
$139$	1.60248	−	0.583255i	0.135921	−	0.0494710i	−0.273164	−	0.961967i	$-0.588070\pi$
$139$	1.60248	−	0.583255i	0.135921	−	0.0494710i	0.409085	+	0.912496i	$0.365848\pi$
$140$	−5.31887	−	9.21255i	−0.449526	−	0.778603i
$141$	4.60524	−	3.02824i	0.387831	−	0.255024i
$142$	−6.70899	−	11.6203i	−0.563006	−	0.975155i
$143$	5.26630	+	29.8667i	0.440390	+	2.49758i
$144$	−2.50613	−	1.64903i	−0.208844	−	0.137420i
$145$	27.4709	+	9.99859i	2.28133	+	0.830337i
$146$	8.20688	+	6.88639i	0.679206	+	0.569922i
$147$	1.14412	−	1.53650i	0.0943657	−	0.126728i
$148$	−1.07231	+	5.98750i	−0.0881431	+	0.492169i
$149$	0.439805	−	0.761765i	0.0360302	−	0.0624062i	−0.847448	−	0.530878i	$-0.821862\pi$
$149$	0.439805	−	0.761765i	0.0360302	−	0.0624062i	0.883478	+	0.468472i	$0.155195\pi$
$150$	−4.45254	+	14.8670i	−0.363548	+	1.21389i
$151$	0.338334	+	1.91879i	0.0275332	+	0.156149i	0.995475	−	0.0950273i	$-0.0302938\pi$
$151$	0.338334	+	1.91879i	0.0275332	+	0.156149i	−0.967941	+	0.251176i	$0.919183\pi$
$152$	0.801874	−	0.672852i	0.0650406	−	0.0545755i
$153$	−0.692674	+	11.8514i	−0.0559994	+	0.958129i
$154$	14.8814			1.19918
$155$	−30.7761	+	25.8242i	−2.47200	+	2.07425i
$156$	−9.98171	−	1.16772i	−0.799176	−	0.0934923i
$157$	−6.80090	+	2.47533i	−0.542771	+	0.197553i	−0.598832	−	0.800875i	$-0.704368\pi$
$157$	−6.80090	+	2.47533i	−0.542771	+	0.197553i	0.0560606	+	0.998427i	$0.482146\pi$
$158$	7.02141			0.558594
$159$	−0.978148	+	1.31360i	−0.0775722	+	0.104176i
$160$	2.86220	+	2.40167i	0.226276	+	0.189868i
$161$	−9.02025	+	7.56889i	−0.710896	+	0.596512i
$162$	−7.52139	+	4.94253i	−0.590936	+	0.388322i
$163$	2.63721	−	14.9564i	0.206562	−	1.17147i	−0.688400	−	0.725331i	$-0.741687\pi$
$163$	2.63721	−	14.9564i	0.206562	−	1.17147i	0.894962	−	0.446142i	$-0.147202\pi$
$164$	6.15371	−	2.23977i	0.480524	−	0.174896i
$165$	−23.2100	−	24.6062i	−1.80690	−	1.91559i
$166$	6.08104	−	5.10260i	0.471980	−	0.396039i
$167$	12.6804	−	10.6401i	0.981240	−	0.823358i	−0.00303634	−	0.999995i	$-0.500966\pi$
$167$	12.6804	−	10.6401i	0.981240	−	0.823358i	0.984276	+	0.176638i	$0.0565221\pi$
$168$	−1.41480	+	4.72402i	−0.109154	+	0.364466i
$169$	−19.4197	+	7.06819i	−1.49382	+	0.543707i
$170$	2.56746	−	14.5608i	0.196916	−	1.11676i
$171$	−0.900044	−	3.00857i	−0.0688281	−	0.230071i
$172$	−1.06240	+	0.891460i	−0.0810073	+	0.0679732i
$173$	−7.21164	−	6.05128i	−0.548291	−	0.460071i	0.326071	−	0.945345i	$-0.394275\pi$
$173$	−7.21164	−	6.05128i	−0.548291	−	0.460071i	−0.874362	+	0.485275i	$0.838720\pi$
$174$	−5.36640	−	12.4442i	−0.406826	−	0.943390i
$175$	25.5106			1.92842
$176$	−4.91163	+	1.78769i	−0.370228	+	0.134752i
$177$	−5.76958	−	13.3791i	−0.433669	−	1.00564i
$178$	−0.782238	+	0.656376i	−0.0586312	+	0.0491975i
$179$	−0.380004			−0.0284028			−0.0142014	−	0.999899i	$-0.504521\pi$
$179$	−0.380004			−0.0284028			−0.0142014	+	0.999899i	$0.504521\pi$
$180$	10.0177	−	5.02856i	0.746678	−	0.374807i
$181$	−6.54562	+	5.49243i	−0.486532	+	0.408249i	−0.852782	−	0.522268i	$-0.825086\pi$
$181$	−6.54562	+	5.49243i	−0.486532	+	0.408249i	0.366249	+	0.930517i	$0.380642\pi$
$182$	2.86860	+	16.2686i	0.212635	+	1.20591i
$183$	−2.22008	−	2.35362i	−0.164113	−	0.173985i
$184$	2.06791	−	3.58172i	0.152448	−	0.264048i
$185$	−17.3708	−	14.6554i	−1.27713	−	1.07748i
$186$	18.4979	+	2.16400i	1.35633	+	0.158672i
$187$	15.8446	+	13.2952i	1.15867	+	0.972244i
$188$	2.99025	+	1.08836i	0.218087	+	0.0793771i
$189$	11.3300	+	9.51285i	0.824134	+	0.691958i
$190$	0.679153	+	3.85167i	0.0492710	+	0.279429i
$191$	−3.87613	−	6.71365i	−0.280467	−	0.485783i	0.691033	−	0.722823i	$-0.257156\pi$
$191$	−3.87613	−	6.71365i	−0.280467	−	0.485783i	−0.971500	+	0.237041i	$0.923823\pi$
$192$	−0.100535	−	1.72913i	−0.00725546	−	0.124789i
$193$	−6.34639	−	10.9923i	−0.456823	−	0.791240i	0.541968	−	0.840399i	$-0.317679\pi$
$193$	−6.34639	−	10.9923i	−0.456823	−	0.791240i	−0.998791	+	0.0491587i	$0.984346\pi$
$194$	−4.73106	+	1.72196i	−0.339670	+	0.123630i
$195$	22.4259	−	30.1169i	1.60595	−	2.15672i
$196$	1.10602			0.0790015
$197$	16.6973	−	6.07732i	1.18963	−	0.432991i	0.330038	−	0.943968i	$-0.392938\pi$
$197$	16.6973	−	6.07732i	1.18963	−	0.432991i	0.859594	+	0.510977i	$0.170716\pi$
$198$	−0.914913	+	15.6538i	−0.0650200	+	1.11247i
$199$	−12.2108	−	21.1497i	−0.865601	−	1.49927i	−0.866449	−	0.499266i	$-0.833603\pi$
$199$	−12.2108	−	21.1497i	−0.865601	−	1.49927i	0.000847497	−	1.00000i	$-0.499730\pi$
$200$	−8.41980	+	3.06456i	−0.595370	+	0.216697i
$201$	−14.6645	−	15.5466i	−1.03435	−	1.09657i
$202$	1.82421	−	0.663956i	0.128351	−	0.0467158i
$203$	−17.0647	+	14.3190i	−1.19771	+	1.00500i
$204$	−5.72689	+	3.76580i	−0.400962	+	0.263659i
$205$	−4.24880	+	24.0962i	−0.296749	+	1.68295i
$206$	0.108699	−	0.616464i	0.00757344	−	0.0429511i
$207$	−7.40719	−	9.95380i	−0.514836	−	0.691837i
$208$	−2.90112	−	5.02489i	−0.201157	−	0.348413i
$209$	−5.14135	−	1.87130i	−0.355635	−	0.129441i
$210$	−12.6427	−	13.4032i	−0.872430	−	0.924909i
$211$	−0.206520	−	0.357704i	−0.0142175	−	0.0246253i	0.858829	−	0.512262i	$-0.171192\pi$
$211$	−0.206520	−	0.357704i	−0.0142175	−	0.0246253i	−0.873047	+	0.487637i	$0.837859\pi$
$212$	−0.945573			−0.0649422
$213$	−15.9470	−	16.9062i	−1.09267	−	1.15840i
$214$	−4.29258			−0.293434
$215$	−0.899808	−	5.10306i	−0.0613664	−	0.348026i
$216$	−4.88225	−	1.77867i	−0.332195	−	0.121023i
$217$	−5.31604	−	30.1488i	−0.360876	−	2.04663i
$218$	−16.2756	−	5.92383i	−1.10232	−	0.401213i
$219$	16.5814	+	8.32961i	1.12047	+	0.562863i
$220$	3.39121	−	19.2325i	0.228636	−	1.29666i
$221$	−11.4803	+	19.8845i	−0.772251	+	1.33758i
$222$	0.583344	+	10.5195i	0.0391515	+	0.706022i
$223$	−11.0960	−	19.2189i	−0.743045	−	1.28699i	−0.951103	−	0.308875i	$-0.900048\pi$
$223$	−11.0960	−	19.2189i	−0.743045	−	1.28699i	0.208058	−	0.978116i	$-0.433286\pi$
$224$	−2.67541	+	0.973768i	−0.178758	+	0.0650626i
$225$	−1.56840	+	26.8347i	−0.104560	+	1.78898i
$226$	−9.31678	+	7.81770i	−0.619743	+	0.520026i
$227$	−4.83094	+	4.05364i	−0.320640	+	0.269049i	−0.788873	−	0.614556i	$-0.789335\pi$
$227$	−4.83094	+	4.05364i	−0.320640	+	0.269049i	0.468233	+	0.883605i	$0.344891\pi$
$228$	1.08283	−	1.45419i	0.0717124	−	0.0963061i
$229$	21.9715	+	7.99696i	1.45192	+	0.528454i	0.943126	−	0.332436i	$-0.107871\pi$
$229$	21.9715	+	7.99696i	1.45192	+	0.528454i	0.508790	+	0.860891i	$0.330093\pi$
$230$	7.72638	+	13.3825i	0.509463	+	0.882415i
$231$	25.0811	−	5.94166i	1.65022	−	0.390932i
$232$	3.91211	−	6.77598i	0.256843	−	0.444865i
$233$	−12.8649	+	22.2827i	−0.842808	+	1.45979i	0.0447027	+	0.999000i	$0.485766\pi$
$233$	−12.8649	+	22.2827i	−0.842808	+	1.45979i	−0.887511	+	0.460786i	$0.847567\pi$
$234$	−17.2894	+	2.01730i	−1.13025	+	0.131875i
$235$	−9.10797	+	7.64249i	−0.594138	+	0.498541i
$236$	4.20604	−	7.28507i	0.273790	−	0.474218i
$237$	11.8339	−	2.80342i	0.768695	−	0.182102i
$238$	8.63071	+	7.24203i	0.559446	+	0.469431i
$239$	−9.58739	+	3.48952i	−0.620157	+	0.225719i	−0.632941	−	0.774200i	$-0.718153\pi$
$239$	−9.58739	+	3.48952i	−0.620157	+	0.225719i	0.0127847	+	0.999918i	$0.495930\pi$
$240$	5.78286	+	2.90500i	0.373282	+	0.187517i
$241$	−0.831116	−	4.71349i	−0.0535369	−	0.303623i	0.946268	−	0.323384i	$-0.104821\pi$
$241$	−0.831116	−	4.71349i	−0.0535369	−	0.303623i	−0.999805	+	0.0197612i	$0.993709\pi$
$242$	12.5018	+	10.4902i	0.803644	+	0.674337i
$243$	−10.7032	+	11.3332i	−0.686610	+	0.727026i
$244$	0.324375	−	1.83962i	0.0207660	−	0.117770i
$245$	−2.06623	+	3.57882i	−0.132007	+	0.228642i
$246$	9.47721	−	6.23188i	0.604245	−	0.397330i
$247$	1.05467	−	5.98135i	0.0671073	−	0.380584i
$248$	5.37631	+	9.31204i	0.341396	+	0.591315i
$249$	8.21171	−	11.0279i	0.520396	−	0.698865i
$250$	2.56939	−	14.5717i	0.162502	−	0.921596i
$251$	9.50049	−	16.4553i	0.599666	−	1.03865i	−0.393205	−	0.919451i	$-0.628634\pi$
$251$	9.50049	−	16.4553i	0.599666	−	1.03865i	0.992870	−	0.119200i	$-0.0380331\pi$
$252$	−0.498361	+	8.52677i	−0.0313938	+	0.537136i
$253$	−21.6173			−1.35907
$254$	−0.339328	+	0.284730i	−0.0212913	+	0.0178655i
$255$	−1.48645	−	25.5660i	−0.0930850	−	1.60100i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−0.617567	+	3.50239i	−0.0385227	+	0.218473i	−0.997992	−	0.0633400i	$-0.979825\pi$
$257$	−0.617567	+	3.50239i	−0.0385227	+	0.218473i	0.959469	+	0.281813i	$0.0909359\pi$
$258$	−1.43464	+	1.92665i	−0.0893169	+	0.119948i
$259$	16.2897	−	5.87957i	1.01219	−	0.365339i
$260$	21.6791			1.34448
$261$	−14.0131	−	18.8308i	−0.867389	−	1.16560i
$262$	9.80468	+	3.56861i	0.605735	+	0.220469i
$263$	2.23740	+	0.814347i	0.137964	+	0.0502148i	0.410079	−	0.912050i	$-0.365501\pi$
$263$	2.23740	+	0.814347i	0.137964	+	0.0502148i	−0.272115	+	0.962265i	$0.587723\pi$
$264$	−7.56431	+	4.97403i	−0.465551	+	0.306130i
$265$	1.76649	−	3.05965i	0.108514	−	0.187953i
$266$	−2.80054	−	1.01931i	−0.171712	−	0.0624981i
$267$	−1.05632	+	1.41858i	−0.0646456	+	0.0868157i
$268$	2.14263	−	12.1514i	0.130882	−	0.742267i
$269$	12.1125	+	20.9794i	0.738511	+	1.27914i	0.953166	+	0.302448i	$0.0978040\pi$
$269$	12.1125	+	20.9794i	0.738511	+	1.27914i	−0.214655	+	0.976690i	$0.568863\pi$
$270$	14.8762	−	12.4749i	0.905336	−	0.759199i
$271$	−7.09115	+	2.58097i	−0.430757	+	0.156783i	−0.548294	−	0.836286i	$-0.684722\pi$
$271$	−7.09115	+	2.58097i	−0.430757	+	0.156783i	0.117537	+	0.993069i	$0.462500\pi$
$272$	−3.71856	−	1.35344i	−0.225471	−	0.0820646i
$273$	11.3303	+	26.2739i	0.685740	+	1.59017i
$274$	−3.73664	−	3.13541i	−0.225739	−	0.189417i
$275$	35.8765	+	30.1039i	2.16343	+	1.81534i
$276$	2.05519	−	6.86229i	0.123708	−	0.413061i
$277$	3.25131	+	18.4391i	0.195352	+	1.10790i	0.911916	+	0.410376i	$0.134602\pi$
$277$	3.25131	+	18.4391i	0.195352	+	1.10790i	−0.716564	+	0.697521i	$0.754286\pi$
$278$	1.60248	+	0.583255i	0.0961104	+	0.0349813i
$279$	32.0405	−	3.73842i	1.91821	−	0.223813i
$280$	1.84722	−	10.4761i	0.110393	−	0.626068i
$281$	3.53619	−	1.28707i	0.210951	−	0.0767800i	−0.234383	−	0.972144i	$-0.575307\pi$
$281$	3.53619	−	1.28707i	0.210951	−	0.0767800i	0.445334	+	0.895364i	$0.353085\pi$
$282$	5.47433	+	0.640420i	0.325992	+	0.0381364i
$283$	5.01909	+	28.4647i	0.298354	+	1.69205i	0.653249	+	0.757143i	$0.273405\pi$
$283$	5.01909	+	28.4647i	0.298354	+	1.69205i	−0.354896	+	0.934906i	$0.615484\pi$
$284$	2.33001	−	13.2141i	0.138261	−	0.784114i
$285$	2.68249	+	6.22045i	0.158897	+	0.368468i
$286$	−15.1637	+	26.2643i	−0.896649	+	1.55304i
$287$	−14.2826	−	11.9846i	−0.843078	−	0.707426i
$288$	−0.859827	−	2.87414i	−0.0506658	−	0.169360i
$289$	−0.232776	−	1.32014i	−0.0136927	−	0.0776553i
$290$	14.6170	+	25.3173i	0.858337	+	1.48668i
$291$	−7.28622	+	4.79116i	−0.427126	+	0.280863i
$292$	1.86035	+	10.5506i	0.108869	+	0.617425i
$293$	−7.16575	+	6.01278i	−0.418628	+	0.351270i	−0.827641	−	0.561258i	$-0.810318\pi$
$293$	−7.16575	+	6.01278i	−0.418628	+	0.351270i	0.409013	+	0.912529i	$0.365873\pi$
$294$	1.86409	−	0.441598i	0.108716	−	0.0257545i
$295$	15.7152	+	27.2194i	0.914971	+	1.58478i
$296$	−4.67013	+	3.89743i	−0.271446	+	0.226533i
$297$	4.70807	+	26.7483i	0.273190	+	1.55209i
$298$	0.826563	−	0.300844i	0.0478815	−	0.0174274i
$299$	−4.16703	−	23.6324i	−0.240986	−	1.36670i
$300$	−12.9672	+	8.52677i	−0.748661	+	0.492293i
$301$	3.71043	+	1.35049i	0.213865	+	0.0778407i
$302$	−0.974193	+	1.68735i	−0.0560585	+	0.0970962i
$303$	2.80943	−	1.84738i	0.161397	−	0.106129i
$304$	1.04677			0.0600365
$305$	5.34658	+	4.48631i	0.306144	+	0.256886i
$306$	−8.14855	+	8.63346i	−0.465822	+	0.493542i
$307$	2.54035	−	4.40001i	0.144985	−	0.251122i	−0.784382	−	0.620278i	$-0.787020\pi$
$307$	2.54035	−	4.40001i	0.144985	−	0.251122i	0.929367	+	0.369156i	$0.120353\pi$
$308$	11.3998	+	9.56557i	0.649564	+	0.545049i
$309$	−0.0629321	−	1.08239i	−0.00358008	−	0.0615751i
$310$	−40.1753			−2.28181
$311$	17.7196	+	14.8685i	1.00479	+	0.843116i	0.987640	−	0.156737i	$-0.0500976\pi$
$311$	17.7196	+	14.8685i	1.00479	+	0.843116i	0.0171459	+	0.999853i	$0.494542\pi$
$312$	−6.89584	−	7.31064i	−0.390400	−	0.413884i
$313$	0.826856	−	4.68933i	0.0467367	−	0.265057i	−0.952481	−	0.304597i	$-0.901478\pi$
$313$	0.826856	−	4.68933i	0.0467367	−	0.265057i	0.999218	+	0.0395402i	$0.0125893\pi$
$314$	−6.80090	−	2.47533i	−0.383797	−	0.139691i
$315$	−26.6595	−	17.5420i	−1.50210	−	0.988379i
$316$	5.37871	+	4.51328i	0.302576	+	0.253892i
$317$	−0.679312	+	0.247249i	−0.0381540	+	0.0138869i	−0.361027	−	0.932556i	$-0.617574\pi$
$317$	−0.679312	+	0.247249i	−0.0381540	+	0.0138869i	0.322873	+	0.946442i	$0.395351\pi$
$318$	−1.59367	+	0.377537i	−0.0893687	+	0.0211712i
$319$	−40.8960			−2.28974
$320$	0.648807	+	3.67957i	0.0362694	+	0.205694i
$321$	−7.23472	+	1.71389i	−0.403803	+	0.0956598i
$322$	−11.7751			−0.656201
$323$	−2.07115	−	3.58733i	−0.115242	−	0.199605i
$324$	−8.93872	−	1.04846i	−0.496596	−	0.0582477i
$325$	−25.9945	+	45.0239i	−1.44192	+	2.49747i
$326$	11.6340	−	9.76208i	0.644347	−	0.540671i
$327$	−29.7961	−	3.48573i	−1.64773	−	0.192761i
$328$	6.15371	+	2.23977i	0.339782	+	0.123670i
$329$	−1.57324	−	8.92231i	−0.0867358	−	0.491903i
$330$	−1.96336	−	33.7686i	−0.108080	−	1.85890i
$331$	−4.25503	−	3.57040i	−0.233878	−	0.196247i	0.518315	−	0.855190i	$-0.326559\pi$
$331$	−4.25503	−	3.57040i	−0.233878	−	0.196247i	−0.752193	+	0.658943i	$0.771004\pi$
$332$	7.93824			0.435667
$333$	5.18326	+	17.4967i	0.284041	+	0.958812i
$334$	16.5531			0.905745
$335$	35.3163	+	29.6339i	1.92954	+	1.61907i
$336$	−4.12034	+	2.70940i	−0.224783	+	0.147810i
$337$	1.63017	+	9.24516i	0.0888011	+	0.503616i	0.996471	+	0.0839323i	$0.0267479\pi$
$337$	1.63017	+	9.24516i	0.0888011	+	0.503616i	−0.907670	+	0.419684i	$0.862141\pi$
$338$	−19.4197	−	7.06819i	−1.05629	−	0.384459i
$339$	−12.5812	+	16.8959i	−0.683315	+	0.917658i
$340$	11.3263	−	9.50390i	0.614255	−	0.515421i
$341$	28.1011	−	48.6726i	1.52176	−	2.63577i
$342$	1.24440	−	2.88324i	0.0672895	−	0.155908i
$343$	8.39040	+	14.5326i	0.453039	+	0.784686i
$344$	−1.38687			−0.0747748
$345$	18.3653	+	19.4700i	0.988753	+	1.04823i
$346$	−1.63475	−	9.27111i	−0.0878845	−	0.498418i
$347$	22.5451			1.21028			0.605142	−	0.796117i	$-0.293116\pi$
$347$	22.5451			1.21028			0.605142	+	0.796117i	$0.293116\pi$
$348$	3.88806	−	12.9822i	0.208422	−	0.695921i
$349$	−4.29934	+	1.56483i	−0.230138	+	0.0837635i	−0.454515	−	0.890739i	$-0.650188\pi$
$349$	−4.29934	+	1.56483i	−0.230138	+	0.0837635i	0.224377	+	0.974502i	$0.427965\pi$
$350$	19.5422	+	16.3979i	1.04458	+	0.876503i
$351$	−28.3342	+	10.3031i	−1.51237	+	0.549937i
$352$	−4.91163	−	1.78769i	−0.261791	−	0.0952840i
$353$	2.55316	−	14.4797i	0.135891	−	0.770675i	−0.838344	−	0.545141i	$-0.816476\pi$
$353$	2.55316	−	14.4797i	0.135891	−	0.770675i	0.974235	−	0.225534i	$-0.0724128\pi$
$354$	4.18018	−	13.9576i	0.222174	−	0.741839i
$355$	38.4049	+	32.2255i	2.03832	+	1.71035i
$356$	−1.02114			−0.0541203
$357$	17.4377	+	8.75978i	0.922903	+	0.463617i
$358$	−0.291100	−	0.244262i	−0.0153851	−	0.0129096i
$359$	−1.17758	+	2.03963i	−0.0621504	+	0.107648i	−0.895426	−	0.445210i	$-0.853129\pi$
$359$	−1.17758	+	2.03963i	−0.0621504	+	0.107648i	0.833276	+	0.552857i	$0.186463\pi$
$360$	10.9063	+	2.58718i	0.574814	+	0.136356i
$361$	−13.7155	−	11.5086i	−0.721867	−	0.605718i
$362$	−8.54470			−0.449100
$363$	25.2589	+	12.6887i	1.32575	+	0.665985i
$364$	−8.25980	+	14.3064i	−0.432931	+	0.749859i
$365$	−37.6145	−	13.6906i	−1.96883	−	0.716597i
$366$	−0.187799	−	3.23002i	−0.00981640	−	0.168836i
$367$	−4.87103	−	27.6250i	−0.254266	−	1.44201i	−0.797950	−	0.602723i	$-0.794082\pi$
$367$	−4.87103	−	27.6250i	−0.254266	−	1.44201i	0.543684	−	0.839290i	$-0.317029\pi$
$368$	3.88639	−	1.41453i	0.202592	−	0.0737376i
$369$	13.4847	−	14.2872i	0.701987	−	0.743761i
$370$	−3.88655	−	22.3924i	−0.202052	−	1.16413i
$371$	1.34607	+	2.33147i	0.0698847	+	0.121044i
$372$	12.7792	+	13.5480i	0.662573	+	0.702429i
$373$	−16.4486	+	13.8020i	−0.851676	+	0.714641i	−0.960158	−	0.279457i	$-0.909845\pi$
$373$	−16.4486	+	13.8020i	−0.851676	+	0.714641i	0.108482	+	0.994098i	$0.465401\pi$
$374$	3.59169	+	20.3695i	0.185722	+	1.05328i
$375$	−1.48756	−	25.5851i	−0.0768173	−	1.32121i
$376$	1.59108	+	2.75583i	0.0820537	+	0.142121i
$377$	−7.88329	−	44.7084i	−0.406010	−	2.30260i
$378$	2.56452	+	14.5700i	0.131905	+	0.749401i
$379$	20.2312	+	16.9760i	1.03921	+	0.871997i	0.991917	−	0.126885i	$-0.0404978\pi$
$379$	20.2312	+	16.9760i	1.03921	+	0.871997i	0.0472878	+	0.998881i	$0.484942\pi$
$380$	−1.95554	+	3.38710i	−0.100317	+	0.173755i
$381$	−0.458221	+	0.615367i	−0.0234754	+	0.0315262i
$382$	1.34616	−	7.63448i	0.0688758	−	0.390614i
$383$	−0.357667	−	2.02843i	−0.0182759	−	0.103648i	0.974305	−	0.225232i	$-0.0723139\pi$
$383$	−0.357667	−	2.02843i	−0.0182759	−	0.103648i	−0.992581	+	0.121584i	$0.961203\pi$
$384$	1.03445	−	1.38921i	0.0527890	−	0.0708930i
$385$	−52.2486	+	19.0169i	−2.66283	+	0.969193i
$386$	2.20408	−	12.4999i	0.112185	−	0.636230i
$387$	−1.64870	+	3.81999i	−0.0838082	+	0.194181i
$388$	−4.73106	−	1.72196i	−0.240183	−	0.0874195i
$389$	2.64780	+	15.0164i	0.134249	+	0.761364i	0.975380	+	0.220532i	$0.0707793\pi$
$389$	2.64780	+	15.0164i	0.134249	+	0.761364i	−0.841131	+	0.540832i	$0.818110\pi$
$390$	36.5380	−	8.65576i	1.85017	−	0.438302i
$391$	−12.5373	−	10.5200i	−0.634038	−	0.532021i
$392$	0.847261	+	0.710937i	0.0427932	+	0.0359077i
$393$	17.9497	+	2.09986i	0.905441	+	0.105924i
$394$	16.6973	+	6.07732i	0.841197	+	0.306171i
$395$	−24.6522	+	8.97267i	−1.24039	+	0.451464i
$396$	−10.7629	+	11.4034i	−0.540858	+	0.573044i
$397$	−10.5855	−	18.3346i	−0.531271	−	0.920188i	−0.999334	−	0.0364929i	$-0.988381\pi$
$397$	−10.5855	−	18.3346i	−0.531271	−	0.920188i	0.468063	−	0.883695i	$-0.344952\pi$
$398$	4.24077	−	24.0506i	0.212571	−	1.20555i
$399$	−5.12702	−	0.599789i	−0.256672	−	0.0300270i
$400$	−8.41980	−	3.06456i	−0.420990	−	0.153228i
$401$	3.78068	−	6.54834i	0.188798	−	0.327008i	−0.756051	−	0.654512i	$-0.772874\pi$
$401$	3.78068	−	6.54834i	0.188798	−	0.327008i	0.944850	+	0.327504i	$0.106207\pi$
$402$	−1.24049	−	21.3356i	−0.0618698	−	1.06412i
$403$	58.6268	+	21.3384i	2.92041	+	1.06294i
$404$	1.82421	+	0.663956i	0.0907576	+	0.0330331i
$405$	20.0916	−	26.9648i	0.998358	−	1.33989i
$406$	−22.2764			−1.10556
$407$	29.8470	+	10.9541i	1.47946	+	0.542974i
$408$	−6.80766	−	0.796400i	−0.337029	−	0.0394277i
$409$	5.68777	−	32.2569i	0.281242	−	1.59500i	−0.437166	−	0.899381i	$-0.644018\pi$
$409$	5.68777	−	32.2569i	0.281242	−	1.59500i	0.718408	−	0.695622i	$-0.244871\pi$
$410$	−18.7435	+	15.7276i	−0.925674	+	0.776733i
$411$	−7.54961	−	3.79252i	−0.372395	−	0.187071i
$412$	0.479524	−	0.402368i	0.0236244	−	0.0198233i
$413$	−23.9501			−1.17851
$414$	0.723938	−	12.3863i	0.0355796	−	0.608754i
$415$	−14.8299	+	25.6862i	−0.727973	+	1.26089i
$416$	1.00755	−	5.71409i	0.0493991	−	0.280156i
$417$	2.93370	+	0.343202i	0.143664	+	0.0168067i
$418$	−2.73566	−	4.73830i	−0.133805	−	0.231758i
$419$	1.48690	−	8.43263i	0.0726398	−	0.411961i	−0.926706	−	0.375788i	$-0.877372\pi$
$419$	1.48690	−	8.43263i	0.0726398	−	0.411961i	0.999346	−	0.0361731i	$-0.0115168\pi$
$420$	−1.06946	−	18.3940i	−0.0521844	−	0.897537i
$421$	−1.64418	+	2.84780i	−0.0801324	+	0.138793i	−0.903307	−	0.428995i	$-0.858868\pi$
$421$	−1.64418	+	2.84780i	−0.0801324	+	0.138793i	0.823174	+	0.567789i	$0.192201\pi$
$422$	0.0717238	−	0.406766i	0.00349146	−	0.0198010i
$423$	9.48216	−	1.10636i	0.461038	−	0.0537930i
$424$	−0.724351	−	0.607803i	−0.0351776	−	0.0295175i
$425$	6.15709	+	34.9186i	0.298663	+	1.69380i
$426$	−1.34897	−	23.2014i	−0.0653579	−	1.12411i
$427$	−4.99766	+	1.81900i	−0.241854	+	0.0880275i
$428$	−3.28830	−	2.75921i	−0.158946	−	0.133372i
$429$	−15.0705	+	50.3203i	−0.727609	+	2.42949i
$430$	2.59089	−	4.48756i	0.124944	−	0.216409i
$431$	−21.9453	+	18.4143i	−1.05707	+	0.886984i	−0.993819	−	0.111014i	$-0.964590\pi$
$431$	−21.9453	+	18.4143i	−1.05707	+	0.886984i	−0.0632470	+	0.997998i	$0.520146\pi$
$432$	−2.59671	−	4.50079i	−0.124934	−	0.216544i
$433$	5.70477	−	9.88096i	0.274154	−	0.474849i	−0.695767	−	0.718267i	$-0.744936\pi$
$433$	5.70477	−	9.88096i	0.274154	−	0.474849i	0.969921	+	0.243419i	$0.0782689\pi$
$434$	15.3069	−	26.5124i	0.734756	−	1.27263i
$435$	34.7439	+	36.8338i	1.66584	+	1.76605i
$436$	−8.66006	−	14.9997i	−0.414742	−	0.718354i
$437$	4.06817	+	1.48069i	0.194607	+	0.0708311i
$438$	7.34794	+	17.0392i	0.351098	+	0.814164i
$439$	9.33390	−	7.83208i	0.445483	−	0.373805i	−0.392274	−	0.919849i	$-0.628311\pi$
$439$	9.33390	−	7.83208i	0.445483	−	0.373805i	0.837756	+	0.546044i	$0.183867\pi$
$440$	14.9602	−	12.5531i	0.713202	−	0.598447i
$441$	2.96543	−	1.48854i	0.141211	−	0.0708830i
$442$	−21.5760	+	7.85301i	−1.02626	+	0.373530i
$443$	3.15625	+	5.46678i	0.149958	+	0.259735i	0.931212	−	0.364479i	$-0.118753\pi$
$443$	3.15625	+	5.46678i	0.149958	+	0.259735i	−0.781254	+	0.624214i	$0.785420\pi$
$444$	−6.31493	+	8.43336i	−0.299693	+	0.400230i
$445$	1.90766	−	3.30416i	0.0904317	−	0.156632i
$446$	3.85361	−	21.8549i	0.182474	−	1.03486i
$447$	1.27297	−	0.837064i	0.0602097	−	0.0395918i
$448$	−2.67541	−	0.973768i	−0.126401	−	0.0460062i
$449$	3.40128	+	19.2896i	0.160516	+	0.910333i	0.953568	+	0.301179i	$0.0973800\pi$
$449$	3.40128	+	19.2896i	0.160516	+	0.910333i	−0.793051	+	0.609155i	$0.791509\pi$
$450$	−18.4505	+	19.5484i	−0.869764	+	0.921522i
$451$	−5.94375	−	33.7087i	−0.279880	−	1.58728i
$452$	−12.1622			−0.572061
$453$	−0.968204	+	3.23283i	−0.0454902	+	0.151892i
$454$	−6.30634			−0.295971
$455$	−30.8614	−	53.4534i	−1.44680	−	2.50594i
$456$	1.76423	−	0.417942i	0.0826178	−	0.0195719i
$457$	24.2672	+	8.83252i	1.13517	+	0.413168i	0.840167	−	0.542328i	$-0.182457\pi$
$457$	24.2672	+	8.83252i	1.13517	+	0.413168i	0.295003	+	0.955496i	$0.404679\pi$
$458$	11.6908	+	20.2490i	0.546274	+	0.946175i
$459$	−10.2865	+	17.8043i	−0.480135	+	0.831034i
$460$	−2.68335	+	15.2180i	−0.125112	+	0.709543i
$461$	−6.93751	+	39.3446i	−0.323112	+	1.83246i	0.199509	+	0.979896i	$0.436065\pi$
$461$	−6.93751	+	39.3446i	−0.323112	+	1.83246i	−0.522622	+	0.852565i	$0.675046\pi$
$462$	23.0325	+	11.5703i	1.07157	+	0.538298i
$463$	4.64512	−	3.89771i	0.215877	−	0.181142i	−0.528436	−	0.848973i	$-0.677221\pi$
$463$	4.64512	−	3.89771i	0.215877	−	0.181142i	0.744313	+	0.667831i	$0.232777\pi$
$464$	7.35237	−	2.67604i	0.341325	−	0.124232i
$465$	−67.7117	+	16.0407i	−3.14005	+	0.743870i
$466$	−24.1781	+	8.80012i	−1.12003	+	0.407658i
$467$	6.88199	+	11.9200i	0.318460	+	0.551590i	0.980167	−	0.198173i	$-0.0635009\pi$
$467$	6.88199	+	11.9200i	0.318460	+	0.551590i	−0.661707	+	0.749763i	$0.730168\pi$
$468$	−14.5412	−	9.56810i	−0.672166	−	0.442285i
$469$	−33.0116	+	12.0152i	−1.52433	+	0.554811i
$470$	−11.8896			−0.548427
$471$	−12.4506	−	1.45654i	−0.573693	−	0.0671140i
$472$	7.90477	−	2.87710i	0.363846	−	0.132429i
$473$	3.62446	+	6.27776i	0.166653	+	0.288652i
$474$	10.8673	+	5.45915i	0.499152	+	0.250747i
$475$	−4.68963	−	8.12267i	−0.215175	−	0.372694i
$476$	1.95642	+	11.0954i	0.0896725	+	0.508558i
$477$	−2.53524	+	1.27260i	−0.116081	+	0.0582685i
$478$	−9.58739	−	3.48952i	−0.438517	−	0.159607i
$479$	14.4133	+	12.0942i	0.658560	+	0.552597i	0.909655	−	0.415365i	$-0.136346\pi$
$479$	14.4133	+	12.0942i	0.658560	+	0.552597i	−0.251095	+	0.967962i	$0.580791\pi$
$480$	2.56263	+	5.94251i	0.116968	+	0.271237i
$481$	−6.22179	+	34.7409i	−0.283689	+	1.58405i
$482$	2.39310	−	4.14498i	0.109003	−	0.188798i
$483$	−19.8458	+	4.70142i	−0.903015	+	0.213922i
$484$	2.83392	+	16.0720i	0.128815	+	0.730544i
$485$	14.4103	−	12.0916i	0.654336	−	0.549053i
$486$	−15.4840	+	1.80187i	−0.702367	+	0.0817344i
$487$	42.0249			1.90433			0.952166	−	0.305582i	$-0.0988509\pi$
$487$	42.0249			1.90433			0.952166	+	0.305582i	$0.0988509\pi$
$488$	1.43097	−	1.20073i	0.0647770	−	0.0543544i
$489$	15.7103	−	21.0981i	0.710444	−	0.954090i
$490$	−3.88324	+	1.41338i	−0.175427	+	0.0638502i
$491$	8.28618			0.373950			0.186975	−	0.982365i	$-0.440132\pi$
$491$	8.28618			0.373950			0.186975	+	0.982365i	$0.440132\pi$
$492$	11.2657	+	1.31793i	0.507899	+	0.0594170i
$493$	−23.7183	−	19.9021i	−1.06822	−	0.896343i
$494$	4.65267	−	3.90405i	0.209333	−	0.175652i
$495$	−16.7918	−	56.1298i	−0.754733	−	2.52285i
$496$	−1.86717	+	10.5893i	−0.0838385	+	0.475472i
$497$	−35.8985	+	13.0660i	−1.61027	+	0.586090i
$498$	13.3791	−	3.16948i	0.599533	−	0.142028i
$499$	−27.4544	+	23.0370i	−1.22903	+	1.03128i	−0.230727	+	0.973018i	$0.574110\pi$
$499$	−27.4544	+	23.0370i	−1.22903	+	1.03128i	−0.998302	+	0.0582590i	$0.981445\pi$
$500$	11.3348	−	9.51101i	0.506907	−	0.425345i
$501$	27.8987	−	6.60912i	1.24642	−	0.295274i
$502$	17.8551	−	6.49872i	0.796911	−	0.290052i
$503$	−1.34081	+	7.60412i	−0.0597838	+	0.339051i	−0.999999	−	0.00153059i	$-0.999513\pi$
$503$	−1.34081	+	7.60412i	−0.0597838	+	0.339051i	0.940215	+	0.340581i	$0.110624\pi$
$504$	−5.86267	+	6.21155i	−0.261144	+	0.276684i
$505$	−5.55632	+	4.66230i	−0.247253	+	0.207470i
$506$	−16.5598	−	13.8953i	−0.736172	−	0.617722i
$507$	−35.5521	−	4.15910i	−1.57893	−	0.184712i
$508$	−0.442961			−0.0196532
$509$	19.8423	−	7.22199i	0.879493	−	0.320109i	0.137488	−	0.990503i	$-0.456097\pi$
$509$	19.8423	−	7.22199i	0.879493	−	0.320109i	0.742005	+	0.670394i	$0.233875\pi$
$510$	15.2948	−	20.5401i	0.677265	−	0.909532i
$511$	23.3659	−	19.6063i	1.03365	−	0.867332i
$512$	1.00000			0.0441942
$513$	0.946133	−	5.35627i	0.0417728	−	0.236485i
$514$	−2.72438	+	2.28603i	−0.120167	+	0.100832i
$515$	0.406136	+	2.30331i	0.0178965	+	0.101496i
$516$	−2.33743	+	0.553730i	−0.102900	+	0.0243766i
$517$	8.31633	−	14.4043i	0.365752	−	0.633501i
$518$	16.2579	+	5.96678i	0.714332	+	0.262165i
$519$	−6.45686	−	14.9729i	−0.283425	−	0.657235i
$520$	16.6072	+	13.9351i	0.728272	+	0.611093i
$521$	10.2041	+	3.71400i	0.447051	+	0.162713i	0.555729	−	0.831364i	$-0.312439\pi$
$521$	10.2041	+	3.71400i	0.447051	+	0.162713i	−0.108677	+	0.994077i	$0.534662\pi$
$522$	1.36956	−	23.4327i	0.0599441	−	1.02562i
$523$	−1.03699	−	5.88107i	−0.0453445	−	0.257161i	0.953705	−	0.300742i	$-0.0972344\pi$
$523$	−1.03699	−	5.88107i	−0.0453445	−	0.257161i	−0.999050	+	0.0435810i	$0.986123\pi$
$524$	5.21696	+	9.03604i	0.227904	+	0.394741i
$525$	39.4837	+	19.8345i	1.72321	+	0.865647i
$526$	1.19050	+	2.06200i	0.0519081	+	0.0899074i
$527$	39.9842	−	14.5531i	1.74174	−	0.633942i
$528$	−8.99184	−	1.05192i	−0.391320	−	0.0457789i
$529$	−5.89504			−0.256306
$530$	3.31991	−	1.20835i	0.144208	−	0.0524873i
$531$	1.47246	−	25.1932i	0.0638993	−	1.09329i
$532$	−1.49014	−	2.58099i	−0.0646056	−	0.111900i
$533$	35.7053	−	12.9957i	1.54657	−	0.562905i
$534$	−1.72103	+	0.407708i	−0.0744764	+	0.0176433i
$535$	15.0712	−	5.48548i	0.651587	−	0.237158i
$536$	9.45214	−	7.93129i	0.408270	−	0.342580i
$537$	−0.588146	−	0.295453i	−0.0253804	−	0.0127497i
$538$	−4.20662	+	23.8569i	−0.181360	+	1.02855i
$539$	1.00386	−	5.69317i	0.0432393	−	0.245222i
$540$	19.4145	+	0.00589943i	0.835469	+	0.000253871i
$541$	−8.71328	−	15.0918i	−0.374613	−	0.648849i	0.615656	−	0.788015i	$-0.288891\pi$
$541$	−8.71328	−	15.0918i	−0.374613	−	0.648849i	−0.990269	+	0.139166i	$0.955558\pi$
$542$	−7.09115	−	2.58097i	−0.304591	−	0.110862i
$543$	−14.4013	+	3.41162i	−0.618018	+	0.146407i
$544$	−1.97860	−	3.42704i	−0.0848319	−	0.146933i
$545$	64.7137			2.77203
$546$	−8.20902	+	27.4099i	−0.351314	+	1.17304i
$547$	−12.9926			−0.555524			−0.277762	−	0.960650i	$-0.589593\pi$
$547$	−12.9926			−0.555524			−0.277762	+	0.960650i	$0.589593\pi$
$548$	−0.847027	−	4.80373i	−0.0361832	−	0.205205i
$549$	−1.60616	−	5.36890i	−0.0685492	−	0.229139i
$550$	8.13254	+	46.1219i	0.346772	+	1.96664i
$551$	7.69626	+	2.80121i	0.327872	+	0.119336i
$552$	5.98537	−	3.93577i	0.254754	−	0.167517i
$553$	3.47135	−	19.6870i	0.147617	−	0.837177i
$554$	−9.36177	+	16.2151i	−0.397743	+	0.688912i
$555$	−15.4910	−	36.1885i	−0.657556	−	1.53612i
$556$	0.852662	+	1.47685i	0.0361609	+	0.0626325i
$557$	26.8266	−	9.76408i	1.13668	−	0.413717i	0.295966	−	0.955199i	$-0.404359\pi$
$557$	26.8266	−	9.76408i	1.13668	−	0.413717i	0.840713	+	0.541481i	$0.182136\pi$
$558$	26.9474	+	17.7314i	1.14078	+	0.750632i
$559$	−6.16430	+	5.17247i	−0.260722	+	0.218772i
$560$	8.14898	−	6.83780i	0.344357	−	0.288950i
$561$	14.1863	+	32.8967i	0.598947	+	1.38890i
$562$	3.53619	+	1.28707i	0.149165	+	0.0542917i
$563$	−4.73747	−	8.20554i	−0.199661	−	0.345822i	0.748758	−	0.662844i	$-0.230651\pi$
$563$	−4.73747	−	8.20554i	−0.199661	−	0.345822i	−0.948418	+	0.317021i	$0.897317\pi$
$564$	3.78193	+	4.00942i	0.159248	+	0.168827i
$565$	22.7210	−	39.3539i	0.955879	−	1.65563i
$566$	−14.4519	+	25.0314i	−0.607458	+	1.05215i
$567$	10.1396	+	23.5324i	0.425823	+	0.988270i
$568$	10.2788	−	8.62491i	0.431288	−	0.361893i
$569$	16.2374	−	28.1240i	0.680706	−	1.17902i	−0.294060	−	0.955787i	$-0.595006\pi$
$569$	16.2374	−	28.1240i	0.680706	−	1.17902i	0.974766	−	0.223230i	$-0.0716603\pi$
$570$	−1.94352	+	6.48942i	−0.0814051	+	0.271812i
$571$	4.57675	+	3.84035i	0.191531	+	0.160714i	0.733510	−	0.679678i	$-0.237881\pi$
$571$	4.57675	+	3.84035i	0.191531	+	0.160714i	−0.541980	+	0.840392i	$0.682325\pi$
$572$	−28.4984	+	10.3726i	−1.19158	+	0.433700i
$573$	−0.779370	−	13.4047i	−0.0325587	−	0.559988i
$574$	−3.23761	−	18.3614i	−0.135135	−	0.766391i
$575$	−28.3878	−	23.8202i	−1.18385	−	0.993369i
$576$	1.18880	−	2.75441i	0.0495332	−	0.114767i
$577$	0.539351	−	3.05881i	0.0224535	−	0.127340i	−0.971521	−	0.236955i	$-0.923851\pi$
$577$	0.539351	−	3.05881i	0.0224535	−	0.127340i	0.993974	+	0.109615i	$0.0349618\pi$
$578$	0.670253	−	1.16091i	0.0278788	−	0.0482875i
$579$	−1.27606	−	21.9475i	−0.0530314	−	0.912105i
$580$	−5.07642	+	28.7898i	−0.210787	+	1.19543i
$581$	−11.3005	−	19.5731i	−0.468824	−	0.812027i
$582$	−8.66127	−	1.01325i	−0.359021	−	0.0420004i
$583$	−0.858233	+	4.86728i	−0.0355444	+	0.201582i
$584$	−5.35666	+	9.27801i	−0.221660	+	0.383927i
$585$	58.1254	−	29.1769i	2.40319	−	1.20632i
$586$	−9.35423			−0.386420
$587$	−20.5122	+	17.2118i	−0.846631	+	0.710408i	−0.959045	−	0.283254i	$-0.908586\pi$
$587$	−20.5122	+	17.2118i	−0.846631	+	0.710408i	0.112414	+	0.993661i	$0.464142\pi$
$588$	1.71183	+	0.859931i	0.0705947	+	0.0354630i
$589$	−8.62225	+	7.23492i	−0.355273	+	0.298110i
$590$	−5.45781	+	30.9528i	−0.224695	+	1.27431i
$591$	30.5681	+	3.57604i	1.25741	+	0.147099i
$592$	−6.08274	−	0.0162985i	−0.249999	−	0.000669862i
$593$	−9.26415			−0.380433			−0.190216	−	0.981742i	$-0.560919\pi$
$593$	−9.26415			−0.380433			−0.190216	+	0.981742i	$0.560919\pi$
$594$	−13.5869	+	23.5167i	−0.557477	+	0.964901i
$595$	−39.5570	−	14.3976i	−1.62168	−	0.590244i
$596$	0.826563	+	0.300844i	0.0338573	+	0.0123231i
$597$	−2.45522	−	42.2282i	−0.100485	−	1.72828i
$598$	11.9985	−	20.7820i	0.490655	−	0.849839i
$599$	17.3155	+	6.30234i	0.707493	+	0.257506i	0.670607	−	0.741813i	$-0.266034\pi$
$599$	17.3155	+	6.30234i	0.707493	+	0.257506i	0.0368864	+	0.999319i	$0.488256\pi$
$600$	−15.4143	−	1.80326i	−0.629288	−	0.0736178i
$601$	−4.16007	+	23.5930i	−0.169693	+	0.962377i	0.774400	+	0.632697i	$0.218052\pi$
$601$	−4.16007	+	23.5930i	−0.169693	+	0.962377i	−0.944093	+	0.329680i	$0.893059\pi$
$602$	1.97428	+	3.41955i	0.0804655	+	0.139370i
$603$	−10.6093	−	35.4637i	−0.432045	−	1.44420i
$604$	−1.83088	+	0.666388i	−0.0744976	+	0.0271149i
$605$	−57.2992	−	20.8552i	−2.32954	−	0.847885i
$606$	3.33962	+	0.390688i	0.135663	+	0.0158706i
$607$	−9.69544	−	8.13544i	−0.393526	−	0.330207i	0.424459	−	0.905447i	$-0.360464\pi$
$607$	−9.69544	−	8.13544i	−0.393526	−	0.330207i	−0.817985	+	0.575240i	$0.804909\pi$
$608$	0.801874	+	0.672852i	0.0325203	+	0.0272878i
$609$	−37.5448	+	8.89426i	−1.52139	+	0.360413i
$610$	1.21197	+	6.87343i	0.0490713	+	0.278297i
$611$	17.3502	+	6.31495i	0.701913	+	0.255475i
$612$	−11.7916	+	1.37582i	−0.476648	+	0.0556143i
$613$	2.10143	−	11.9178i	0.0848761	−	0.481356i	−0.912507	−	0.409061i	$-0.865856\pi$
$613$	2.10143	−	11.9178i	0.0848761	−	0.481356i	0.997383	−	0.0722955i	$-0.0230325\pi$
$614$	4.77429	−	1.73770i	0.192675	−	0.0701279i
$615$	−25.3108	+	33.9911i	−1.02063	+	1.37065i
$616$	2.58413	+	14.6553i	0.104117	+	0.590479i
$617$	3.94419	−	22.3686i	0.158787	−	0.900526i	−0.796455	−	0.604698i	$-0.793294\pi$
$617$	3.94419	−	22.3686i	0.158787	−	0.900526i	0.955241	−	0.295827i	$-0.0955953\pi$
$618$	0.647539	−	0.869611i	0.0260478	−	0.0349809i
$619$	−11.2962	+	19.5657i	−0.454034	+	0.786410i	−0.998632	−	0.0522870i	$-0.983349\pi$
$619$	−11.2962	+	19.5657i	−0.454034	+	0.786410i	0.544598	+	0.838697i	$0.316682\pi$
$620$	−30.7761	−	25.8242i	−1.23600	−	1.03713i
$621$	−3.72532	−	21.1650i	−0.149492	−	0.849321i
$622$	4.01671	+	22.7799i	0.161055	+	0.913390i
$623$	1.45365	+	2.51779i	0.0582391	+	0.100873i
$624$	−0.583326	−	10.0328i	−0.0233517	−	0.401635i
$625$	1.82049	+	10.3245i	0.0728196	+	0.412980i
$626$	3.64765	−	3.06075i	0.145790	−	0.122332i
$627$	−6.50254	−	6.89369i	−0.259686	−	0.275307i
$628$	−3.61869	−	6.26775i	−0.144401	−	0.250110i
$629$	11.9795	+	20.8781i	0.477653	+	0.832463i
$630$	−9.14662	−	30.5744i	−0.364410	−	1.21811i
$631$	−24.4358	+	8.89390i	−0.972774	+	0.354061i	−0.779027	−	0.626991i	$-0.784286\pi$
$631$	−24.4358	+	8.89390i	−0.972774	+	0.354061i	−0.193747	+	0.981052i	$0.562064\pi$
$632$	1.21926	+	6.91474i	0.0484994	+	0.275054i
$633$	−0.0415249	−	0.714202i	−0.00165047	−	0.0283870i
$634$	−0.679312	−	0.247249i	−0.0269789	−	0.00981952i
$635$	0.827525	−	1.43331i	0.0328393	−	0.0568794i
$636$	−1.46350	−	0.735183i	−0.0580316	−	0.0291519i
$637$	6.41740			0.254267
$638$	−31.3282	−	26.2875i	−1.24029	−	1.04073i
$639$	−11.5371	−	38.5652i	−0.456402	−	1.52562i
$640$	−1.86817	+	3.23576i	−0.0738457	+	0.127905i
$641$	0.202222	+	0.169684i	0.00798729	+	0.00670213i	0.646773	−	0.762683i	$-0.276118\pi$
$641$	0.202222	+	0.169684i	0.00798729	+	0.00670213i	−0.638785	+	0.769385i	$0.720563\pi$
$642$	−6.64378	−	3.33748i	−0.262209	−	0.131720i
$643$	7.94751			0.313419			0.156710	−	0.987645i	$-0.449911\pi$
$643$	7.94751			0.313419			0.156710	+	0.987645i	$0.449911\pi$
$644$	−9.02025	−	7.56889i	−0.355448	−	0.298256i
$645$	2.57496	−	8.59781i	0.101389	−	0.338538i
$646$	0.719302	−	4.07937i	0.0283006	−	0.160500i
$647$	4.83458	+	1.75964i	0.190067	+	0.0691786i	0.435300	−	0.900285i	$-0.356642\pi$
$647$	4.83458	+	1.75964i	0.190067	+	0.0691786i	−0.245233	+	0.969464i	$0.578865\pi$
$648$	−6.17352	−	6.54886i	−0.242519	−	0.257264i
$649$	−33.6819	−	28.2625i	−1.32213	−	1.10940i
$650$	−48.8537	+	17.7813i	−1.91620	+	0.697440i
$651$	15.2128	−	50.7956i	0.596237	−	1.99084i
$652$	15.1871			0.594773
$653$	0.162505	+	0.921611i	0.00635931	+	0.0360654i	0.987822	−	0.155586i	$-0.0497267\pi$
$653$	0.162505	+	0.921611i	0.00635931	+	0.0360654i	−0.981463	+	0.191652i	$0.938616\pi$
$654$	−20.5846	−	21.8228i	−0.804921	−	0.853340i
$655$	−38.9846			−1.52325
$656$	3.27432	+	5.67129i	0.127841	+	0.221427i
$657$	19.1874	+	25.7841i	0.748573	+	1.00593i
$658$	4.52998	−	7.84615i	0.176597	−	0.305875i
$659$	−4.23988	+	3.55768i	−0.165162	+	0.138588i	−0.721623	−	0.692286i	$-0.756603\pi$
$659$	−4.23988	+	3.55768i	−0.165162	+	0.138588i	0.556461	+	0.830874i	$0.312159\pi$
$660$	20.2020	−	27.1303i	0.786362	−	1.05604i
$661$	−16.0904	−	5.85644i	−0.625846	−	0.227789i	0.00957648	−	0.999954i	$-0.496952\pi$
$661$	−16.0904	−	5.85644i	−0.625846	−	0.227789i	−0.635422	+	0.772165i	$0.719174\pi$
$662$	−0.964538	−	5.47016i	−0.0374878	−	0.212604i
$663$	−33.2288	+	21.8501i	−1.29050	+	0.848587i
$664$	6.08104	+	5.10260i	0.235990	+	0.198019i
$665$	11.1353			0.431808
$666$	−7.27604	+	16.7350i	−0.281941	+	0.648467i
$667$	32.3596			1.25297
$668$	12.6804	+	10.6401i	0.490620	+	0.411679i
$669$	−2.23107	−	38.3729i	−0.0862581	−	1.48358i
$670$	8.00556	+	45.4018i	0.309282	+	1.75402i
$671$	−9.17492	−	3.33940i	−0.354194	−	0.128916i
$672$	−4.89793	−	0.572989i	−0.188942	−	0.0221035i
$673$	−4.37323	+	3.66957i	−0.168576	+	0.141452i	−0.723173	−	0.690667i	$-0.757317\pi$
$673$	−4.37323	+	3.66957i	−0.168576	+	0.141452i	0.554597	+	0.832119i	$0.312872\pi$
$674$	−4.69389	+	8.13006i	−0.180802	+	0.313158i
$675$	−23.2915	+	40.3137i	−0.896488	+	1.55167i
$676$	−10.3330	−	17.8973i	−0.397423	−	0.688357i
$677$	49.1276			1.88813			0.944063	−	0.329766i	$-0.106970\pi$
$677$	49.1276			1.88813			0.944063	+	0.329766i	$0.106970\pi$
$678$	−20.4982	+	4.85597i	−0.787228	+	0.186492i
$679$	2.48912	+	14.1165i	0.0955238	+	0.541742i
$680$	14.7854			0.566996
$681$	−10.6287	+	2.51792i	−0.407294	+	0.0964868i
$682$	52.8128	−	19.2223i	2.02231	−	0.736060i
$683$	20.7707	+	17.4287i	0.794767	+	0.666889i	0.946920	−	0.321468i	$-0.104176\pi$
$683$	20.7707	+	17.4287i	0.794767	+	0.666889i	−0.152153	+	0.988357i	$0.548621\pi$
$684$	2.80658	−	1.40880i	0.107312	−	0.0538669i
$685$	17.1261	+	6.23339i	0.654354	+	0.238165i
$686$	−2.91395	+	16.5259i	−0.111255	+	0.630960i
$687$	27.7885	+	29.4600i	1.06020	+	1.12397i
$688$	−1.06240	−	0.891460i	−0.0405036	−	0.0339866i
$689$	−5.48645			−0.209017
$690$	1.55354	+	26.7199i	0.0591422	+	1.01721i
$691$	−27.5891	−	23.1500i	−1.04954	−	0.880666i	−0.0564925	−	0.998403i	$-0.517992\pi$
$691$	−27.5891	−	23.1500i	−1.04954	−	0.880666i	−0.993045	+	0.117737i	$0.962436\pi$
$692$	4.70706	−	8.15287i	0.178936	−	0.309926i
$693$	43.4387	+	10.3045i	1.65010	+	0.391434i
$694$	17.2706	+	14.4917i	0.655581	+	0.550098i
$695$	−6.37165			−0.241691
$696$	11.3233	−	7.44578i	0.429207	−	0.282231i
$697$	12.9572	−	22.4425i	0.490787	−	0.850069i
$698$	−4.29934	−	1.56483i	−0.162732	−	0.0592297i
$699$	−37.2363	+	24.4853i	−1.40841	+	0.926119i
$700$	4.42986	+	25.1230i	0.167433	+	0.949560i
$701$	−22.6390	+	8.23991i	−0.855062	+	0.311217i	−0.732102	−	0.681195i	$-0.761461\pi$
$701$	−22.6390	+	8.23991i	−0.855062	+	0.311217i	−0.122960	+	0.992412i	$0.539239\pi$
$702$	−28.3280	−	10.3203i	−1.06917	−	0.389514i
$703$	−4.86663	−	4.10586i	−0.183548	−	0.154855i
$704$	−2.61342	−	4.52658i	−0.0984970	−	0.170602i
$705$	−20.0388	+	4.74714i	−0.754704	+	0.178788i
$706$	11.2632	−	9.45093i	0.423896	−	0.355691i
$707$	−0.959758	−	5.44306i	−0.0360954	−	0.204707i
$708$	12.1740	−	8.00519i	0.457527	−	0.300854i
$709$	−0.847169	−	1.46734i	−0.0318161	−	0.0551071i	0.849679	−	0.527300i	$-0.176796\pi$
$709$	−0.847169	−	1.46734i	−0.0318161	−	0.0551071i	−0.881495	+	0.472193i	$0.843462\pi$
$710$	8.70568	+	49.3724i	0.326718	+	1.85291i
$711$	20.4955	+	4.86190i	0.768640	+	0.182336i
$712$	−0.782238	−	0.656376i	−0.0293156	−	0.0245987i
$713$	−22.2354	+	38.5129i	−0.832723	+	1.44232i
$714$	7.72741	+	17.9191i	0.289191	+	0.670607i
$715$	19.6766	−	111.592i	0.735865	−	4.17330i
$716$	−0.0659870	−	0.374231i	−0.00246605	−	0.0139857i
$717$	−17.5519	−	2.05332i	−0.655487	−	0.0766827i
$718$	−2.21313	+	0.805513i	−0.0825933	+	0.0300615i
$719$	−3.97707	+	22.5551i	−0.148320	+	0.841163i	0.816322	+	0.577597i	$0.196010\pi$
$719$	−3.97707	+	22.5551i	−0.148320	+	0.841163i	−0.964642	+	0.263565i	$0.915102\pi$
$720$	6.69172	+	8.99235i	0.249386	+	0.335125i
$721$	−1.67473	−	0.609554i	−0.0623704	−	0.0227010i
$722$	−3.10904	−	17.6323i	−0.115707	−	0.656205i
$723$	2.37839	−	7.94144i	0.0884532	−	0.295345i
$724$	−6.54562	−	5.49243i	−0.243266	−	0.204124i
$725$	−53.7046	−	45.0635i	−1.99454	−	1.67362i
$726$	11.1933	+	25.9563i	0.415423	+	0.963327i
$727$	−7.68714	−	2.79789i	−0.285100	−	0.103768i	0.195512	−	0.980701i	$-0.437363\pi$
$727$	−7.68714	−	2.79789i	−0.285100	−	0.103768i	−0.480612	+	0.876933i	$0.659585\pi$
$728$	−15.5234	+	5.65004i	−0.575334	+	0.209404i
$729$	−25.3773	+	9.21912i	−0.939900	+	0.341449i
$730$	−20.0143	−	34.6657i	−0.740761	−	1.28304i
$731$	−0.953001	+	5.40474i	−0.0352480	+	0.199901i
$732$	1.93235	−	2.59505i	0.0714218	−	0.0959158i
$733$	−22.1918	−	8.07717i	−0.819674	−	0.298337i	−0.102060	−	0.994778i	$-0.532544\pi$
$733$	−22.1918	−	8.07717i	−0.819674	−	0.298337i	−0.717614	+	0.696441i	$0.754766\pi$
$734$	14.0256	−	24.2930i	0.517694	−	0.896672i
$735$	−5.98051	+	3.93258i	−0.220595	+	0.145055i
$736$	3.88639	+	1.41453i	0.143254	+	0.0521403i
$737$	−60.6040	−	22.0581i	−2.23238	−	0.812519i
$738$	19.5135	−	2.27680i	0.718303	−	0.0838101i
$739$	−0.113960			−0.00419209			−0.00209604	−	0.999998i	$-0.500667\pi$
$739$	−0.113960			−0.00419209			−0.00209604	+	0.999998i	$0.500667\pi$
$740$	11.4163	−	19.6518i	0.419672	−	0.722415i
$741$	6.28286	−	8.43756i	0.230807	−	0.309962i
$742$	−0.467487	+	2.65125i	−0.0171620	+	0.0973304i
$743$	−32.2935	+	27.0974i	−1.18473	+	0.994109i	−0.184797	+	0.982777i	$0.559163\pi$
$743$	−32.2935	+	27.0974i	−1.18473	+	0.994109i	−0.999936	+	0.0113320i	$0.996393\pi$
$744$	1.08101	+	18.5927i	0.0396318	+	0.681641i
$745$	−2.51762	+	2.11253i	−0.0922383	+	0.0773971i
$746$	−21.4721			−0.786150
$747$	21.2838	−	10.6837i	0.778732	−	0.390897i
$748$	−10.3419	+	17.9126i	−0.378136	+	0.654950i
$749$	−2.12223	+	12.0358i	−0.0775445	+	0.439777i
$750$	15.3062	−	20.5555i	0.558905	−	0.750581i
$751$	15.3648	+	26.6125i	0.560668	+	0.971105i	0.997438	+	0.0715320i	$0.0227888\pi$
$751$	15.3648	+	26.6125i	0.560668	+	0.971105i	−0.436771	+	0.899573i	$0.643878\pi$
$752$	−0.552577	+	3.13382i	−0.0201504	+	0.114279i
$753$	27.4983	−	18.0819i	1.00209	−	0.658942i
$754$	22.6990	−	39.3159i	0.826650	−	1.43180i
$755$	1.26413	−	7.16922i	0.0460063	−	0.260915i
$756$	−7.40090	+	12.8097i	−0.269168	+	0.465886i
$757$	9.15774	+	7.68426i	0.332844	+	0.279289i	0.793857	−	0.608104i	$-0.208070\pi$
$757$	9.15774	+	7.68426i	0.332844	+	0.279289i	−0.461014	+	0.887393i	$0.652514\pi$
$758$	4.58603	+	26.0087i	0.166572	+	0.944678i
$759$	−33.4579	−	16.8074i	−1.21444	−	0.610070i
$760$	−3.67522	+	1.33767i	−0.133314	+	0.0485224i
$761$	6.16004	+	5.16889i	0.223301	+	0.187372i	0.747574	−	0.664178i	$-0.231218\pi$
$761$	6.16004	+	5.16889i	0.223301	+	0.187372i	−0.524273	+	0.851550i	$0.675663\pi$
$762$	−0.746568	+	0.176860i	−0.0270453	+	0.00640696i
$763$	−24.6561	+	42.7057i	−0.892612	+	1.54605i
$764$	5.93857	−	4.98305i	0.214850	−	0.180281i
$765$	17.5769	−	40.7251i	0.635494	−	1.47242i
$766$	1.02986	−	1.78377i	0.0372104	−	0.0644504i
$767$	24.4045	−	42.2698i	0.881194	−	1.52627i
$768$	1.68540	−	0.399268i	0.0608168	−	0.0144073i
$769$	24.2737	+	42.0434i	0.875334	+	1.51612i	0.856407	+	0.516301i	$0.172692\pi$
$769$	24.2737	+	42.0434i	0.875334	+	1.51612i	0.0189265	+	0.999821i	$0.493975\pi$
$770$	−52.2486	−	19.0169i	−1.88291	−	0.685323i
$771$	−3.67894	+	4.94063i	−0.132494	+	0.177932i
$772$	9.72323	−	8.15876i	0.349947	−	0.293640i
$773$	−7.76296	+	6.51390i	−0.279214	+	0.234289i	−0.771630	−	0.636071i	$-0.780558\pi$
$773$	−7.76296	+	6.51390i	−0.279214	+	0.234289i	0.492416	+	0.870360i	$0.336114\pi$
$774$	−3.71842	+	1.86652i	−0.133656	+	0.0670906i
$775$	90.5349	−	32.9520i	3.25211	−	1.18367i
$776$	−2.51734	−	4.36017i	−0.0903673	−	0.156521i
$777$	29.7835	+	3.56517i	1.06848	+	0.127900i
$778$	−7.62405	+	13.2052i	−0.273335	+	0.473431i
$779$	−1.19035	+	6.75079i	−0.0426486	+	0.241872i
$780$	33.5536	+	16.8555i	1.20141	+	0.603523i
$781$	−65.9041	−	23.9871i	−2.35823	−	0.858327i
$782$	−2.84197	−	16.1176i	−0.101629	−	0.576365i
$783$	−7.04765	−	40.0404i	−0.251863	−	1.43093i
$784$	0.192059	+	1.08922i	0.00685923	+	0.0389006i
$785$	27.0412			0.965142
$786$	12.4005	+	13.1464i	0.442311	+	0.468917i
$787$	−51.8022			−1.84655			−0.923275	−	0.384139i	$-0.874498\pi$
$787$	−51.8022			−1.84655			−0.923275	+	0.384139i	$0.874498\pi$
$788$	8.88444	+	15.3883i	0.316495	+	0.548186i
$789$	2.82976	+	2.99997i	0.100742	+	0.106802i
$790$	−24.6522	−	8.97267i	−0.877086	−	0.319233i
$791$	17.3135	+	29.9879i	0.615598	+	1.06625i
$792$	−15.5749	+	1.81724i	−0.553429	+	0.0645729i
$793$	1.88210	−	10.6739i	0.0668354	−	0.379042i
$794$	3.67630	−	20.8494i	0.130467	−	0.739916i
$795$	5.11293	−	3.36209i	0.181337	−	0.119241i
$796$	18.7080	−	15.6979i	0.663089	−	0.556398i
$797$	−31.2160	+	11.3617i	−1.10573	+	0.402451i	−0.829424	−	0.558619i	$-0.811331\pi$
$797$	−31.2160	+	11.3617i	−1.10573	+	0.402451i	−0.276302	+	0.961071i	$0.589109\pi$
$798$	−3.54199	−	3.75505i	−0.125385	−	0.132927i
$799$	11.8331	−	4.30688i	0.418623	−	0.152366i
$800$	−4.48008	−	7.75973i	−0.158395	−	0.274348i
$801$	−2.73785	+	1.37431i	−0.0967372	+	0.0485587i
$802$	7.10536	−	2.58614i	0.250899	−	0.0913198i
$803$	55.9969			1.97609
$804$	12.7640	−	17.1414i	0.450150	−	0.604529i
$805$	41.3424	−	15.0474i	1.45713	−	0.530352i
$806$	31.1946	+	54.0307i	1.09878	+	1.90315i
$807$	2.43545	+	41.8881i	0.0857318	+	1.47453i
$808$	0.970639	+	1.68120i	0.0341470	+	0.0591443i
$809$	−8.42558	−	47.7838i	−0.296228	−	1.67999i	−0.662171	−	0.749353i	$-0.730365\pi$
$809$	−8.42558	−	47.7838i	−0.296228	−	1.67999i	0.365944	−	0.930637i	$-0.380746\pi$
$810$	32.7237	−	7.74166i	1.14979	−	0.272014i
$811$	0.485338	+	0.176649i	0.0170425	+	0.00620298i	0.350527	−	0.936552i	$-0.386002\pi$
$811$	0.485338	+	0.176649i	0.0170425	+	0.00620298i	−0.333485	+	0.942755i	$0.608225\pi$
$812$	−17.0647	−	14.3190i	−0.598855	−	0.502499i
$813$	−12.9819	−	1.51870i	−0.455297	−	0.0532633i
$814$	15.8230	+	27.5766i	0.554596	+	0.966560i
$815$	−28.3720	+	49.1418i	−0.993828	+	1.72136i
$816$	−4.70305	−	4.98596i	−0.164640	−	0.174543i
$817$	−0.252091	−	1.42968i	−0.00881953	−	0.0500181i
$818$	25.0914	−	21.0542i	0.877302	−	0.736144i
$819$	−2.89161	+	49.4744i	−0.101041	+	1.72878i
$820$	−24.4679			−0.854455
$821$	17.4586	−	14.6495i	0.609309	−	0.511271i	−0.285113	−	0.958494i	$-0.592031\pi$
$821$	17.4586	−	14.6495i	0.609309	−	0.511271i	0.894423	+	0.447223i	$0.147587\pi$
$822$	−3.34556	−	7.75803i	−0.116690	−	0.270592i
$823$	−6.36997	+	2.31848i	−0.222043	+	0.0808171i	−0.450646	−	0.892703i	$-0.648806\pi$
$823$	−6.36997	+	2.31848i	−0.222043	+	0.0808171i	0.228603	+	0.973520i	$0.426584\pi$
$824$	0.625974			0.0218068
$825$	32.1216	+	74.4870i	1.11833	+	2.59330i
$826$	−18.3468	−	15.3948i	−0.638368	−	0.535654i
$827$	−4.25777	+	3.57269i	−0.148057	+	0.124235i	−0.713808	−	0.700342i	$-0.753031\pi$
$827$	−4.25777	+	3.57269i	−0.148057	+	0.124235i	0.565751	+	0.824576i	$0.308586\pi$
$828$	8.51633	−	9.02312i	0.295963	−	0.313575i
$829$	0.341921	−	1.93913i	0.0118754	−	0.0673488i	−0.978294	−	0.207221i	$-0.933558\pi$
$829$	0.341921	−	1.93913i	0.0118754	−	0.0673488i	0.990170	+	0.139872i	$0.0446692\pi$
$830$	−27.8712	+	10.1443i	−0.967422	+	0.352113i
$831$	−9.30421	+	31.0668i	−0.322759	+	1.07769i
$832$	4.44478	−	3.72961i	0.154095	−	0.129301i
$833$	3.35279	−	2.81332i	0.116167	−	0.0974759i
$834$	2.02674	+	2.14865i	0.0701802	+	0.0744018i
$835$	−58.1180	+	21.1532i	−2.01126	+	0.732037i
$836$	0.950084	−	5.38819i	0.0328593	−	0.186355i
$837$	52.4969	+	19.1254i	1.81456	+	0.661070i
$838$	6.55942	−	5.50401i	0.226591	−	0.190133i
$839$	−7.24514	−	6.07940i	−0.250130	−	0.209884i	0.509098	−	0.860708i	$-0.329979\pi$
$839$	−7.24514	−	6.07940i	−0.250130	−	0.209884i	−0.759228	+	0.650824i	$0.774423\pi$
$840$	11.0042	−	14.7781i	0.379681	−	0.509892i
$841$	32.2186			1.11098
$842$	−3.09004	+	1.12468i	−0.106490	+	0.0387592i
$843$	6.47379	+	0.757343i	0.222969	+	0.0260843i
$844$	0.316408	−	0.265498i	0.0108912	−	0.00913880i
$845$	77.2151			2.65628
$846$	7.97491	+	5.24749i	0.274183	+	0.180413i
$847$	35.5939	−	29.8668i	1.22302	−	1.02624i
$848$	−0.164197	−	0.931208i	−0.00563855	−	0.0319778i
$849$	−14.3630	+	47.9582i	−0.492938	+	1.64592i
$850$	−17.7286	+	30.7069i	−0.608087	+	1.05324i
$851$	−23.6169	−	8.66757i	−0.809576	−	0.297121i
$852$	13.8802	−	18.6404i	0.475529	−	0.638611i
$853$	40.9757	+	34.3827i	1.40298	+	1.17724i	0.959758	+	0.280830i	$0.0906095\pi$
$853$	40.9757	+	34.3827i	1.40298	+	1.17724i	0.443223	+	0.896411i	$0.353835\pi$
$854$	−4.99766	−	1.81900i	−0.171016	−	0.0622449i
$855$	−0.684601	+	11.7133i	−0.0234129	+	0.400586i
$856$	−0.745398	−	4.22736i	−0.0254772	−	0.144488i
$857$	−9.78673	−	16.9511i	−0.334308	−	0.579039i	0.649043	−	0.760751i	$-0.275169\pi$
$857$	−9.78673	−	16.9511i	−0.334308	−	0.579039i	−0.983352	+	0.181712i	$0.941836\pi$
$858$	−43.8899	+	28.8605i	−1.49838	+	0.985281i
$859$	−17.2106	−	29.8096i	−0.587217	−	1.01709i	−0.994595	−	0.103830i	$-0.966890\pi$
$859$	−17.2106	−	29.8096i	−0.587217	−	1.01709i	0.407378	−	0.913260i	$-0.366443\pi$
$860$	4.86929	−	1.77228i	0.166041	−	0.0604341i
$861$	−12.7878	−	29.6537i	−0.435807	−	1.01060i
$862$	−28.6475			−0.975738
$863$	−11.8071	+	4.29745i	−0.401920	+	0.146287i	−0.535067	−	0.844809i	$-0.679714\pi$
$863$	−11.8071	+	4.29745i	−0.401920	+	0.146287i	0.133148	+	0.991096i	$0.457492\pi$
$864$	0.903857	−	5.11694i	0.0307499	−	0.174082i
$865$	17.5871	+	30.4618i	0.597981	+	1.03573i
$866$	10.7215	−	3.90230i	0.364330	−	0.132605i
$867$	0.666132	−	2.22421i	0.0226230	−	0.0755383i
$868$	28.7676	−	10.4706i	0.976436	−	0.355394i
$869$	28.1137	−	23.5902i	0.953692	−	0.800243i
$870$	2.93902	+	50.5492i	0.0996421	+	1.71378i
$871$	12.4320	−	70.5056i	0.421244	−	2.38899i
$872$	3.00761	−	17.0570i	0.101850	−	0.577623i
$873$	−15.0023	+	1.75043i	−0.507750	+	0.0592432i
$874$	2.16463	+	3.74925i	0.0732196	+	0.126820i
$875$	−39.5866	−	14.4084i	−1.33827	−	0.487091i
$876$	−5.32373	+	17.7759i	−0.179872	+	0.600593i
$877$	1.91570	+	3.31809i	0.0646885	+	0.112044i	0.896556	−	0.442931i	$-0.146061\pi$
$877$	1.91570	+	3.31809i	0.0646885	+	0.112044i	−0.831867	+	0.554975i	$0.812728\pi$
$878$	12.1845			0.411209
$879$	−15.7656	+	3.73484i	−0.531762	+	0.125973i
$880$	19.5292			0.658330
$881$	2.67192	+	15.1532i	0.0900193	+	0.510525i	0.996160	+	0.0875490i	$0.0279034\pi$
$881$	2.67192	+	15.1532i	0.0900193	+	0.510525i	−0.906141	+	0.422976i	$0.860985\pi$
$882$	3.22847	+	0.765852i	0.108708	+	0.0257876i
$883$	4.42503	+	25.0956i	0.148914	+	0.844534i	0.964141	+	0.265392i	$0.0855013\pi$
$883$	4.42503	+	25.0956i	0.148914	+	0.844534i	−0.815227	+	0.579142i	$0.803388\pi$
$884$	−21.5760	−	7.85301i	−0.725679	−	0.264125i
$885$	3.15983	+	54.3471i	0.106217	+	1.82686i
$886$	−1.09615	+	6.21660i	−0.0368260	+	0.208851i
$887$	28.1958	−	48.8366i	0.946724	−	1.63977i	0.194462	−	0.980910i	$-0.437704\pi$
$887$	28.1958	−	48.8366i	0.946724	−	1.63977i	0.752262	−	0.658864i	$-0.228963\pi$
$888$	−10.2584	+	2.40117i	−0.344249	+	0.0805781i
$889$	0.630579	+	1.09219i	0.0211489	+	0.0366310i
$890$	3.58522	−	1.30491i	0.120177	−	0.0437408i
$891$	−13.5099	+	45.0599i	−0.452600	+	1.50956i
$892$	17.0001	−	14.2648i	0.569205	−	0.477620i
$893$	−2.55169	+	2.14112i	−0.0853892	+	0.0716500i
$894$	1.51321	+	0.177024i	0.0506093	+	0.00592058i
$895$	1.33419	+	0.485607i	0.0445972	+	0.0162321i
$896$	−1.42355	−	2.46567i	−0.0475576	−	0.0823722i
$897$	11.9247	−	39.8167i	0.398155	−	1.32944i
$898$	−9.79359	+	16.9630i	−0.326816	+	0.566063i
$899$	−42.0655	+	72.8595i	−1.40296	+	2.43000i
$900$	−26.6994	+	3.11523i	−0.889979	+	0.103841i
$901$	−2.86641	+	2.40520i	−0.0954939	+	0.0801289i
$902$	17.1144	−	29.6429i	0.569846	−	0.987001i
$903$	4.69277	+	4.97505i	0.156166	+	0.165559i
$904$	−9.31678	−	7.81770i	−0.309871	−	0.260013i
$905$	30.0005	−	10.9193i	0.997249	−	0.362969i
$906$	−2.81971	+	1.85415i	−0.0936787	+	0.0615998i
$907$	−0.804519	−	4.56266i	−0.0267136	−	0.151501i	0.968533	−	0.248884i	$-0.0800638\pi$
$907$	−0.804519	−	4.56266i	−0.0267136	−	0.151501i	−0.995247	+	0.0973835i	$0.968953\pi$
$908$	−4.83094	−	4.05364i	−0.160320	−	0.134525i
$909$	5.78459	−	0.674934i	0.191863	−	0.0223862i
$910$	10.7180	−	60.7850i	0.355299	−	2.01500i
$911$	−3.97710	+	6.88855i	−0.131767	+	0.228228i	−0.924358	−	0.381526i	$-0.875399\pi$
$911$	−3.97710	+	6.88855i	−0.131767	+	0.228228i	0.792591	+	0.609754i	$0.208732\pi$
$912$	1.62013	+	0.813865i	0.0536479	+	0.0269498i
$913$	7.20500	−	40.8616i	0.238451	−	1.35232i
$914$	12.9123	+	22.3647i	0.427101	+	0.739760i
$915$	4.78700	+	11.1006i	0.158253	+	0.366975i
$916$	−4.06016	+	23.0263i	−0.134152	+	0.760812i
$917$	14.8532	−	25.7266i	0.490497	−	0.849566i
$918$	−19.3243	+	7.02683i	−0.637798	+	0.231920i
$919$	42.8042			1.41198			0.705990	−	0.708221i	$-0.250502\pi$
$919$	42.8042			1.41198			0.705990	+	0.708221i	$0.250502\pi$
$920$	−11.8375	+	9.93285i	−0.390271	+	0.327476i
$921$	7.35280	−	4.83495i	0.242283	−	0.159317i
$922$	−30.6047	+	25.6804i	−1.00791	+	0.845738i
$923$	13.5193	−	76.6716i	0.444992	−	2.52368i
$924$	10.2067	+	23.6683i	0.335775	+	0.778631i
$925$	27.1247	+	47.2735i	0.891855	+	1.55434i
$926$	6.06377			0.199268
$927$	0.744156	−	1.72419i	0.0244413	−	0.0566297i
$928$	7.35237	+	2.67604i	0.241353	+	0.0878454i
$929$	43.0009	+	15.6510i	1.41081	+	0.513494i	0.931368	−	0.364078i	$-0.118616\pi$
$929$	43.0009	+	15.6510i	1.41081	+	0.513494i	0.479444	+	0.877572i	$0.340838\pi$
$930$	−62.1809	−	31.2363i	−2.03899	−	1.02428i
$931$	−0.578876	+	1.00264i	−0.0189719	+	0.0328603i
$932$	−24.1781	−	8.80012i	−0.791981	−	0.288257i
$933$	15.8650	+	36.7895i	0.519398	+	1.20444i
$934$	−2.39009	+	13.5549i	−0.0782061	+	0.443529i
$935$	−38.6406	−	66.9275i	−1.26368	−	2.18876i
$936$	−4.98893	−	16.6765i	−0.163068	−	0.545088i
$937$	−1.59250	+	0.579621i	−0.0520245	+	0.0189354i	−0.367901	−	0.929865i	$-0.619924\pi$
$937$	−1.59250	+	0.579621i	−0.0520245	+	0.0189354i	0.315877	+	0.948800i	$0.397701\pi$
$938$	−33.0116	−	12.0152i	−1.07787	−	0.392311i
$939$	4.92571	−	6.61498i	0.160745	−	0.215872i
$940$	−9.10797	−	7.64249i	−0.297069	−	0.249271i
$941$	38.8662	+	32.6127i	1.26700	+	1.06314i	0.994899	+	0.100874i	$0.0321640\pi$
$941$	38.8662	+	32.6127i	1.26700	+	1.06314i	0.272104	+	0.962268i	$0.412280\pi$
$942$	−8.60145	−	9.11886i	−0.280251	−	0.297108i
$943$	4.70308	+	26.6725i	0.153153	+	0.868575i
$944$	7.90477	+	2.87710i	0.257278	+	0.0936416i
$945$	−27.6231	−	47.8782i	−0.898580	−	1.55748i
$946$	−1.25876	+	7.13880i	−0.0409259	+	0.232102i
$947$	4.31998	−	1.57234i	0.140380	−	0.0510943i	−0.270875	−	0.962615i	$-0.587313\pi$
$947$	4.31998	−	1.57234i	0.140380	−	0.0510943i	0.411255	+	0.911520i	$0.365091\pi$
$948$	4.81577	+	11.1673i	0.156409	+	0.362698i
$949$	10.7942	+	61.2169i	0.350394	+	1.98719i
$950$	1.62869	−	9.23676i	0.0528417	−	0.299680i
$951$	−1.24363	−	0.145488i	−0.0403276	−	0.00471776i
$952$	−5.63330	+	9.75716i	−0.182576	+	0.316231i
$953$	−27.3481	−	22.9478i	−0.885893	−	0.743353i	0.0814891	−	0.996674i	$-0.474032\pi$
$953$	−27.3481	−	22.9478i	−0.885893	−	0.743353i	−0.967382	+	0.253322i	$0.918477\pi$
$954$	−2.76012	−	0.654752i	−0.0893623	−	0.0211984i
$955$	5.02972	+	28.5249i	0.162758	+	0.923046i
$956$	−5.10134	−	8.83579i	−0.164989	−	0.285770i
$957$	−63.2963	−	31.7966i	−2.04608	−	1.02784i
$958$	3.26723	+	18.5294i	0.105559	+	0.598656i
$959$	−10.6386	+	8.92685i	−0.343539	+	0.288263i
$960$	−1.85668	+	6.19946i	−0.0599241	+	0.200087i
$961$	−42.3094	−	73.2820i	−1.36482	−	2.36394i
$962$	−27.0972	+	22.6138i	−0.873649	+	0.729098i
$963$	−12.5300	−	2.97235i	−0.403774	−	0.0957825i
$964$	4.49756	−	1.63698i	0.144857	−	0.0527235i
$965$	8.23516	+	46.7039i	0.265099	+	1.50345i
$966$	−18.2248	−	9.15514i	−0.586373	−	0.294562i
$967$	15.2516	+	5.55112i	0.490457	+	0.178512i	0.575397	−	0.817874i	$-0.304848\pi$
$967$	15.2516	+	5.55112i	0.490457	+	0.178512i	−0.0849398	+	0.996386i	$0.527070\pi$
$968$	−8.15995	+	14.1334i	−0.262271	+	0.454266i
$969$	−0.416444	−	7.16257i	−0.0133781	−	0.230095i
$970$	18.8113			0.603993
$971$	−16.3464	−	13.7162i	−0.524580	−	0.440175i	0.341645	−	0.939829i	$-0.389016\pi$
$971$	−16.3464	−	13.7162i	−0.524580	−	0.440175i	−0.866225	+	0.499654i	$0.833460\pi$
$972$	−13.0196	−	8.57259i	−0.417605	−	0.274966i
$973$	2.42762	−	4.20476i	0.0778259	−	0.134798i
$974$	32.1930	+	27.0131i	1.03153	+	0.865556i
$975$	−75.2388	+	49.4744i	−2.40957	+	1.58445i
$976$	1.86800			0.0597932
$977$	−41.9939	−	35.2371i	−1.34351	−	1.12733i	−0.980711	−	0.195466i	$-0.937378\pi$
$977$	−41.9939	−	35.2371i	−1.34351	−	1.12733i	−0.362795	−	0.931869i	$-0.618177\pi$
$978$	25.5964	−	6.06372i	0.818482	−	0.193896i
$979$	−0.926819	+	5.25625i	−0.0296213	+	0.167991i
$980$	−3.88324	−	1.41338i	−0.124046	−	0.0451489i
$981$	−43.4065	−	28.5615i	−1.38586	−	0.911898i
$982$	6.34758	+	5.32625i	0.202559	+	0.169968i
$983$	18.5606	−	6.75551i	0.591992	−	0.215467i	−0.0286134	−	0.999591i	$-0.509109\pi$
$983$	18.5606	−	6.75551i	0.591992	−	0.215467i	0.620605	+	0.784123i	$0.286887\pi$
$984$	7.78291	+	8.25108i	0.248110	+	0.263035i
$985$	−66.3904			−2.11537
$986$	−5.37651	−	30.4917i	−0.171223	−	0.971054i
$987$	4.50213	−	15.0326i	0.143304	−	0.478493i
$988$	6.07363			0.193228
$989$	−2.86791	−	4.96736i	−0.0911942	−	0.157953i
$990$	23.2163	−	53.7914i	0.737862	−	1.70960i
$991$	10.1987	−	17.6647i	0.323973	−	0.561137i	−0.657331	−	0.753602i	$-0.728315\pi$
$991$	10.1987	−	17.6647i	0.323973	−	0.561137i	0.981304	+	0.192465i	$0.0616480\pi$
$992$	−8.23698	+	6.91165i	−0.261524	+	0.219445i
$993$	−3.80970	−	8.83433i	−0.120897	−	0.280349i
$994$	−35.8985	−	13.0660i	−1.13863	−	0.414428i
$995$	15.8449	+	89.8610i	0.502318	+	2.84879i
$996$	12.2863	+	6.17198i	0.389307	+	0.195567i
$997$	−25.5059	−	21.4020i	−0.807781	−	0.677809i	0.142296	−	0.989824i	$-0.454552\pi$
$997$	−25.5059	−	21.4020i	−0.807781	−	0.677809i	−0.950077	+	0.312015i	$0.898996\pi$
$998$	−35.8392			−1.13447
$999$	−5.58133	+	31.1103i	−0.176585	+	0.984285i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	666.2.y.a.229.16	yes	114
9.7	even	3		666.2.w.a.7.18	✓	114
37.16	even	9		666.2.w.a.571.18	yes	114
333.16	even	9	inner	666.2.y.a.349.16	yes	114

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
666.2.w.a.7.18	✓	114	9.7	even	3
666.2.w.a.571.18	yes	114	37.16	even	9
666.2.y.a.229.16	yes	114	1.1	even	1	trivial
666.2.y.a.349.16	yes	114	333.16	even	9	inner

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:	\( N \)	\(=\)	\( 666 = 2 \cdot 3^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	666.y (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 + 0.642788i) q^{2} +(1.54774 + 0.777500i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-3.51100 - 1.27790i) q^{5} +(0.685869 + 1.59047i) q^{6} +(2.18101 - 1.83009i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.79099 + 2.40673i) q^{9} +O(q^{10})\)	\(q+(0.766044 + 0.642788i) q^{2} +(1.54774 + 0.777500i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-3.51100 - 1.27790i) q^{5} +(0.685869 + 1.59047i) q^{6} +(2.18101 - 1.83009i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.79099 + 2.40673i) q^{9} +(-1.86817 - 3.23576i) q^{10} +5.22684 q^{11} +(-0.496926 + 1.65924i) q^{12} +(1.00755 + 5.71409i) q^{13} +2.84711 q^{14} +(-4.44055 - 4.70766i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(3.03140 + 2.54364i) q^{17} +(-0.175041 + 2.99489i) q^{18} +(-0.983644 - 0.358017i) q^{19} +(0.648807 - 3.67957i) q^{20} +(4.79853 - 1.13676i) q^{21} +(4.00399 + 3.35975i) q^{22} -4.13581 q^{23} +(-1.44720 + 0.951631i) q^{24} +(6.86389 + 5.75949i) q^{25} +(-2.90112 + 5.02489i) q^{26} +(0.900747 + 5.11749i) q^{27} +(2.18101 + 1.83009i) q^{28} -7.82423 q^{29} +(-0.375631 - 6.46060i) q^{30} +(5.37631 - 9.31204i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(8.08979 + 4.06387i) q^{33} +(0.687162 + 3.89709i) q^{34} +(-9.99620 + 3.63832i) q^{35} +(-2.05917 + 2.18170i) q^{36} +(5.71033 + 2.09574i) q^{37} +(-0.523386 - 0.906531i) q^{38} +(-2.88328 + 9.62729i) q^{39} +(2.86220 - 2.40167i) q^{40} +(-1.13716 - 6.44915i) q^{41} +(4.40658 + 2.21363i) q^{42} +(0.693433 + 1.20106i) q^{43} +(0.907632 + 5.14744i) q^{44} +(-3.21260 - 10.7387i) q^{45} +(-3.16822 - 2.65845i) q^{46} +(1.59108 - 2.75583i) q^{47} +(-1.72032 - 0.201253i) q^{48} +(0.192059 - 1.08922i) q^{49} +(1.55592 + 8.82404i) q^{50} +(2.71413 + 6.29381i) q^{51} +(-5.45232 + 1.98448i) q^{52} +(-0.164197 + 0.931208i) q^{53} +(-2.59944 + 4.49921i) q^{54} +(-18.3515 - 6.67939i) q^{55} +(0.494395 + 2.80385i) q^{56} +(-1.24407 - 1.31890i) q^{57} +(-5.99371 - 5.02932i) q^{58} +(-6.44402 - 5.40718i) q^{59} +(3.86505 - 5.19056i) q^{60} +(-1.75535 - 0.638894i) q^{61} +(10.1042 - 3.67761i) q^{62} +(8.31069 + 1.97145i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(3.76454 - 21.3497i) q^{65} +(3.58493 + 8.31312i) q^{66} +(-11.5948 - 4.22015i) q^{67} +(-1.97860 + 3.42704i) q^{68} +(-6.40116 - 3.21559i) q^{69} +(-9.99620 - 3.63832i) q^{70} +(-12.6088 - 4.58922i) q^{71} +(-2.97979 + 0.347675i) q^{72} +10.7133 q^{73} +(3.02726 + 5.27596i) q^{74} +(6.14550 + 14.2508i) q^{75} +(0.181770 - 1.03087i) q^{76} +(11.3998 - 9.56557i) q^{77} +(-8.39703 + 5.52159i) q^{78} +(5.37871 - 4.51328i) q^{79} +3.73633 q^{80} +(-2.58472 + 8.62086i) q^{81} +(3.27432 - 5.67129i) q^{82} +(1.37846 - 7.81764i) q^{83} +(1.95274 + 4.52823i) q^{84} +(-7.39272 - 12.8046i) q^{85} +(-0.240827 + 1.36580i) q^{86} +(-12.1099 - 6.08334i) q^{87} +(-2.61342 + 4.52658i) q^{88} +(-0.177319 + 1.00563i) q^{89} +(4.44174 - 10.2914i) q^{90} +(12.6548 + 10.6186i) q^{91} +(-0.718177 - 4.07298i) q^{92} +(15.5612 - 10.2325i) q^{93} +(2.99025 - 1.08836i) q^{94} +(2.99607 + 2.51400i) q^{95} +(-1.18848 - 1.25997i) q^{96} +(-2.51734 + 4.36017i) q^{97} +(0.847261 - 0.710937i) q^{98} +(9.36122 + 12.5796i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 114 q - 3 q^{3} - 3 q^{7} - 57 q^{8} - 3 q^{9}+O(q^{10}) \) 114 * q - 3 * q^3 - 3 * q^7 - 57 * q^8 - 3 * q^9	\( 114 q - 3 q^{3} - 3 q^{7} - 57 q^{8} - 3 q^{9} - 3 q^{10} + 12 q^{11} - 3 q^{12} + 6 q^{13} + 3 q^{15} - 3 q^{18} - 12 q^{21} - 36 q^{23} + 6 q^{24} - 18 q^{26} + 3 q^{27} - 3 q^{28} - 6 q^{30} - 6 q^{31} - 21 q^{33} + 9 q^{35} - 3 q^{37} - 15 q^{38} + 21 q^{39} + 30 q^{41} + 15 q^{42} - 42 q^{43} + 36 q^{45} - 6 q^{46} + 9 q^{49} - 3 q^{52} + 3 q^{53} - 18 q^{54} + 6 q^{56} + 39 q^{57} + 9 q^{58} + 3 q^{59} + 9 q^{60} - 24 q^{61} + 15 q^{62} + 75 q^{63} - 57 q^{64} + 36 q^{65} + 9 q^{66} - 30 q^{67} - 42 q^{69} + 9 q^{70} + 27 q^{71} - 3 q^{72} - 72 q^{73} + 12 q^{74} + 3 q^{75} + 12 q^{77} - 42 q^{78} - 27 q^{79} + 6 q^{80} + 45 q^{81} - 24 q^{82} - 18 q^{83} - 3 q^{86} + 72 q^{87} - 6 q^{88} - 30 q^{89} - 9 q^{90} + 9 q^{91} - 6 q^{92} + 24 q^{93} - 33 q^{94} - 60 q^{95} - 3 q^{96} - 36 q^{97} - 27 q^{98} + 36 q^{99}+O(q^{100}) \) 114 * q - 3 * q^3 - 3 * q^7 - 57 * q^8 - 3 * q^9 - 3 * q^10 + 12 * q^11 - 3 * q^12 + 6 * q^13 + 3 * q^15 - 3 * q^18 - 12 * q^21 - 36 * q^23 + 6 * q^24 - 18 * q^26 + 3 * q^27 - 3 * q^28 - 6 * q^30 - 6 * q^31 - 21 * q^33 + 9 * q^35 - 3 * q^37 - 15 * q^38 + 21 * q^39 + 30 * q^41 + 15 * q^42 - 42 * q^43 + 36 * q^45 - 6 * q^46 + 9 * q^49 - 3 * q^52 + 3 * q^53 - 18 * q^54 + 6 * q^56 + 39 * q^57 + 9 * q^58 + 3 * q^59 + 9 * q^60 - 24 * q^61 + 15 * q^62 + 75 * q^63 - 57 * q^64 + 36 * q^65 + 9 * q^66 - 30 * q^67 - 42 * q^69 + 9 * q^70 + 27 * q^71 - 3 * q^72 - 72 * q^73 + 12 * q^74 + 3 * q^75 + 12 * q^77 - 42 * q^78 - 27 * q^79 + 6 * q^80 + 45 * q^81 - 24 * q^82 - 18 * q^83 - 3 * q^86 + 72 * q^87 - 6 * q^88 - 30 * q^89 - 9 * q^90 + 9 * q^91 - 6 * q^92 + 24 * q^93 - 33 * q^94 - 60 * q^95 - 3 * q^96 - 36 * q^97 - 27 * q^98 + 36 * q^99

Introduction

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