LMFDB - Embedded newform 133.2.w.a.100.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [133,2,Mod(4,133)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([12, 2]))

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

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

chi := DirichletCharacter("133.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 133 = 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	133.w (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:	$1.06201034688$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$11$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			100.2
Character	$\chi$	$=$	133.100
Dual form			133.2.w.a.4.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.358797 + 2.03484i) q^{2} +(1.19711 - 0.435712i) q^{3} +(-2.13245 - 0.776148i) q^{4} +(2.57126 - 0.935861i) q^{5} +(0.457084 + 2.59225i) q^{6} +(2.17267 - 1.50981i) q^{7} +(0.278223 - 0.481897i) q^{8} +(-1.05491 + 0.885176i) q^{9} +O(q^{10})$	\(q+(-0.358797 + 2.03484i) q^{2} +(1.19711 - 0.435712i) q^{3} +(-2.13245 - 0.776148i) q^{4} +(2.57126 - 0.935861i) q^{5} +(0.457084 + 2.59225i) q^{6} +(2.17267 - 1.50981i) q^{7} +(0.278223 - 0.481897i) q^{8} +(-1.05491 + 0.885176i) q^{9} +(0.981767 + 5.56788i) q^{10} -5.30910 q^{11} -2.89095 q^{12} +(-0.214691 - 1.21757i) q^{13} +(2.29267 + 4.96274i) q^{14} +(2.67031 - 2.24065i) q^{15} +(-2.59602 - 2.17832i) q^{16} +(-4.42801 - 3.71554i) q^{17} +(-1.42269 - 2.46417i) q^{18} +(1.98955 + 3.87836i) q^{19} -6.20944 q^{20} +(1.94307 - 2.75406i) q^{21} +(1.90489 - 10.8032i) q^{22} +(0.994788 + 5.64172i) q^{23} +(0.123095 - 0.698108i) q^{24} +(1.90531 - 1.59874i) q^{25} +2.55459 q^{26} +(-2.78806 + 4.82907i) q^{27} +(-5.80494 + 1.53328i) q^{28} +(1.96433 + 0.714958i) q^{29} +(3.60127 + 6.23758i) q^{30} +(2.21621 - 3.83860i) q^{31} +(6.21650 - 5.21626i) q^{32} +(-6.35556 + 2.31323i) q^{33} +(9.14928 - 7.67716i) q^{34} +(4.17351 - 5.91542i) q^{35} +(2.93657 - 1.06882i) q^{36} +(3.92776 - 6.80308i) q^{37} +(-8.60569 + 2.65686i) q^{38} +(-0.787517 - 1.36402i) q^{39} +(0.264395 - 1.49946i) q^{40} +(-0.533077 + 3.02323i) q^{41} +(4.90690 + 4.94199i) q^{42} +(-4.27320 - 3.58564i) q^{43} +(11.3214 + 4.12065i) q^{44} +(-1.88405 + 3.26327i) q^{45} -11.8369 q^{46} +(0.527597 - 0.442706i) q^{47} +(-4.05683 - 1.47657i) q^{48} +(2.44096 - 6.56062i) q^{49} +(2.56956 + 4.45062i) q^{50} +(-6.91971 - 2.51857i) q^{51} +(-0.487198 + 2.76304i) q^{52} +(6.70341 + 2.43984i) q^{53} +(-8.82603 - 7.40592i) q^{54} +(-13.6511 + 4.96858i) q^{55} +(-0.123085 - 1.46706i) q^{56} +(4.07155 + 3.77595i) q^{57} +(-2.15962 + 3.74057i) q^{58} +(-0.436331 - 0.366125i) q^{59} +(-7.43337 + 2.70553i) q^{60} +(-0.920707 - 5.22159i) q^{61} +(7.01575 + 5.88692i) q^{62} +(-0.955525 + 3.51591i) q^{63} +(4.99493 + 8.65147i) q^{64} +(-1.69150 - 2.92977i) q^{65} +(-2.42670 - 13.7625i) q^{66} +(1.98836 + 11.2766i) q^{67} +(6.55869 + 11.3600i) q^{68} +(3.64903 + 6.32031i) q^{69} +(10.5395 + 10.6149i) q^{70} +(1.10107 + 0.923908i) q^{71} +(0.133062 + 0.754635i) q^{72} +(-5.59064 + 2.03483i) q^{73} +(12.4339 + 10.4333i) q^{74} +(1.58427 - 2.74403i) q^{75} +(-1.23242 - 9.81460i) q^{76} +(-11.5349 + 8.01572i) q^{77} +(3.05812 - 1.11306i) q^{78} +(-1.30538 - 1.09535i) q^{79} +(-8.71364 - 3.17151i) q^{80} +(-0.516145 + 2.92720i) q^{81} +(-5.96052 - 2.16945i) q^{82} +(2.46216 + 4.26459i) q^{83} +(-6.28107 + 4.36478i) q^{84} +(-14.8628 - 5.40961i) q^{85} +(8.82941 - 7.40875i) q^{86} +2.66303 q^{87} +(-1.47711 + 2.55844i) q^{88} +(3.60430 + 1.31186i) q^{89} +(-5.96423 - 5.00458i) q^{90} +(-2.30475 - 2.32123i) q^{91} +(2.25748 - 12.8028i) q^{92} +(0.980526 - 5.56084i) q^{93} +(0.711536 + 1.23242i) q^{94} +(8.74525 + 8.11033i) q^{95} +(5.16903 - 8.95303i) q^{96} +(15.3220 - 5.57676i) q^{97} +(12.4740 + 7.32089i) q^{98} +(5.60063 - 4.69948i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 12 q^{6} - 9 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) $ 66 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 12 * q^6 - 9 * q^7 - 6 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 12 q^{6} - 9 q^{7} - 6 q^{8} - 3 q^{9} + 15 q^{10} - 54 q^{12} - 12 q^{13} - 3 q^{14} - 9 q^{15} + 9 q^{16} - 18 q^{18} + 6 q^{19} + 18 q^{21} - 12 q^{22} - 3 q^{23} - 36 q^{24} - 3 q^{25} - 18 q^{26} + 30 q^{27} + 45 q^{28} + 6 q^{29} + 3 q^{30} + 39 q^{31} + 6 q^{32} - 39 q^{33} - 24 q^{34} - 27 q^{35} + 51 q^{36} + 6 q^{37} - 72 q^{38} - 24 q^{39} + 57 q^{40} - 30 q^{41} + 87 q^{42} + 12 q^{43} - 48 q^{44} - 3 q^{45} - 12 q^{46} - 21 q^{47} - 21 q^{48} - 21 q^{49} + 27 q^{50} - 3 q^{51} - 9 q^{52} - 9 q^{53} + 93 q^{54} - 27 q^{55} + 12 q^{56} + 6 q^{57} - 42 q^{58} + 6 q^{59} + 48 q^{60} + 18 q^{61} - 27 q^{62} - 87 q^{63} + 24 q^{64} + 21 q^{65} + 15 q^{66} - 18 q^{67} - 15 q^{68} + 42 q^{69} + 15 q^{70} + 30 q^{71} + 48 q^{72} - 78 q^{73} + 21 q^{74} + 57 q^{75} + 42 q^{76} + 18 q^{77} - 51 q^{78} - 81 q^{79} - 3 q^{80} + 48 q^{81} + 117 q^{82} - 18 q^{83} - 51 q^{84} - 24 q^{85} - 66 q^{86} + 18 q^{87} - 45 q^{88} - 3 q^{89} - 48 q^{90} + 78 q^{91} + 12 q^{92} + 33 q^{93} + 72 q^{94} + 93 q^{95} + 69 q^{96} + 3 q^{97} + 6 q^{98} - 156 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 12 * q^6 - 9 * q^7 - 6 * q^8 - 3 * q^9 + 15 * q^10 - 54 * q^12 - 12 * q^13 - 3 * q^14 - 9 * q^15 + 9 * q^16 - 18 * q^18 + 6 * q^19 + 18 * q^21 - 12 * q^22 - 3 * q^23 - 36 * q^24 - 3 * q^25 - 18 * q^26 + 30 * q^27 + 45 * q^28 + 6 * q^29 + 3 * q^30 + 39 * q^31 + 6 * q^32 - 39 * q^33 - 24 * q^34 - 27 * q^35 + 51 * q^36 + 6 * q^37 - 72 * q^38 - 24 * q^39 + 57 * q^40 - 30 * q^41 + 87 * q^42 + 12 * q^43 - 48 * q^44 - 3 * q^45 - 12 * q^46 - 21 * q^47 - 21 * q^48 - 21 * q^49 + 27 * q^50 - 3 * q^51 - 9 * q^52 - 9 * q^53 + 93 * q^54 - 27 * q^55 + 12 * q^56 + 6 * q^57 - 42 * q^58 + 6 * q^59 + 48 * q^60 + 18 * q^61 - 27 * q^62 - 87 * q^63 + 24 * q^64 + 21 * q^65 + 15 * q^66 - 18 * q^67 - 15 * q^68 + 42 * q^69 + 15 * q^70 + 30 * q^71 + 48 * q^72 - 78 * q^73 + 21 * q^74 + 57 * q^75 + 42 * q^76 + 18 * q^77 - 51 * q^78 - 81 * q^79 - 3 * q^80 + 48 * q^81 + 117 * q^82 - 18 * q^83 - 51 * q^84 - 24 * q^85 - 66 * q^86 + 18 * q^87 - 45 * q^88 - 3 * q^89 - 48 * q^90 + 78 * q^91 + 12 * q^92 + 33 * q^93 + 72 * q^94 + 93 * q^95 + 69 * q^96 + 3 * q^97 + 6 * q^98 - 156 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$78$	$115$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.358797	+	2.03484i	−0.253708	+	1.43885i	0.545660	+	0.838007i	$0.316279\pi$
$2$	−0.358797	+	2.03484i	−0.253708	+	1.43885i	−0.799368	+	0.600842i	$0.794832\pi$
$3$	1.19711	−	0.435712i	0.691150	−	0.251558i	0.0275227	−	0.999621i	$-0.491238\pi$
$3$	1.19711	−	0.435712i	0.691150	−	0.251558i	0.663628	+	0.748063i	$0.269016\pi$
$4$	−2.13245	−	0.776148i	−1.06622	−	0.388074i
$5$	2.57126	−	0.935861i	1.14990	−	0.418530i	0.304422	−	0.952537i	$-0.401537\pi$
$5$	2.57126	−	0.935861i	1.14990	−	0.418530i	0.845480	+	0.534008i	$0.179315\pi$
$6$	0.457084	+	2.59225i	0.186604	+	1.05828i
$7$	2.17267	−	1.50981i	0.821191	−	0.570654i
$7$	2.17267	−	1.50981i	0.821191	−	0.570654i
$8$	0.278223	−	0.481897i	0.0983668	−	0.170376i
$9$	−1.05491	+	0.885176i	−0.351637	+	0.295059i
$10$	0.981767	+	5.56788i	0.310462	+	1.76072i
$11$	−5.30910			−1.60075			−0.800377	−	0.599498i	$-0.795367\pi$
$11$	−5.30910			−1.60075			−0.800377	+	0.599498i	$0.795367\pi$
$12$	−2.89095			−0.834545
$13$	−0.214691	−	1.21757i	−0.0595444	−	0.337693i	0.940453	−	0.339924i	$-0.110401\pi$
$13$	−0.214691	−	1.21757i	−0.0595444	−	0.337693i	−0.999998	+	0.00223027i	$0.999290\pi$
$14$	2.29267	+	4.96274i	0.612742	+	1.32635i
$15$	2.67031	−	2.24065i	0.689470	−	0.578534i
$16$	−2.59602	−	2.17832i	−0.649005	−	0.544580i
$17$	−4.42801	−	3.71554i	−1.07395	−	0.901151i	−0.0785452	−	0.996911i	$-0.525027\pi$
$17$	−4.42801	−	3.71554i	−1.07395	−	0.901151i	−0.995404	+	0.0957598i	$0.969472\pi$
$18$	−1.42269	−	2.46417i	−0.335331	−	0.580811i
$19$	1.98955	+	3.87836i	0.456433	+	0.889758i
$19$	1.98955	+	3.87836i	0.456433	+	0.889758i
$20$	−6.20944			−1.38847
$21$	1.94307	−	2.75406i	0.424014	−	0.600985i
$22$	1.90489	−	10.8032i	0.406124	−	2.30324i
$23$	0.994788	+	5.64172i	0.207428	+	1.17638i	0.893574	+	0.448917i	$0.148190\pi$
$23$	0.994788	+	5.64172i	0.207428	+	1.17638i	−0.686146	+	0.727464i	$0.740699\pi$
$24$	0.123095	−	0.698108i	0.0251267	−	0.142501i
$25$	1.90531	−	1.59874i	0.381061	−	0.319748i
$26$	2.55459			0.500996
$27$	−2.78806	+	4.82907i	−0.536563	+	0.929355i
$28$	−5.80494	+	1.53328i	−1.09703	+	0.289762i
$29$	1.96433	+	0.714958i	0.364767	+	0.132764i	0.517900	−	0.855441i	$-0.326714\pi$
$29$	1.96433	+	0.714958i	0.364767	+	0.132764i	−0.153133	+	0.988206i	$0.548936\pi$
$30$	3.60127	+	6.23758i	0.657499	+	1.13882i
$31$	2.21621	−	3.83860i	0.398044	−	0.689432i	−0.595441	−	0.803399i	$-0.703023\pi$
$31$	2.21621	−	3.83860i	0.398044	−	0.689432i	0.993485	+	0.113967i	$0.0363559\pi$
$32$	6.21650	−	5.21626i	1.09893	−	0.922114i
$33$	−6.35556	+	2.31323i	−1.10636	+	0.402682i
$34$	9.14928	−	7.67716i	1.56909	−	1.31662i
$35$	4.17351	−	5.91542i	0.705453	−	0.999888i
$36$	2.93657	−	1.06882i	0.489429	−	0.178137i
$37$	3.92776	−	6.80308i	0.645720	−	1.11842i	−0.338415	−	0.940997i	$-0.609891\pi$
$37$	3.92776	−	6.80308i	0.645720	−	1.11842i	0.984135	−	0.177423i	$-0.0567760\pi$
$38$	−8.60569	+	2.65686i	−1.39603	+	0.431000i
$39$	−0.787517	−	1.36402i	−0.126104	−	0.218418i
$40$	0.264395	−	1.49946i	0.0418045	−	0.237085i
$41$	−0.533077	+	3.02323i	−0.0832526	+	0.472149i	0.914467	+	0.404660i	$0.132610\pi$
$41$	−0.533077	+	3.02323i	−0.0832526	+	0.472149i	−0.997720	+	0.0674893i	$0.978501\pi$
$42$	4.90690	+	4.94199i	0.757151	+	0.762566i
$43$	−4.27320	−	3.58564i	−0.651656	−	0.546805i	0.255917	−	0.966699i	$-0.417623\pi$
$43$	−4.27320	−	3.58564i	−0.651656	−	0.546805i	−0.907573	+	0.419894i	$0.862067\pi$
$44$	11.3214	+	4.12065i	1.70676	+	0.621211i
$45$	−1.88405	+	3.26327i	−0.280857	+	0.486459i
$46$	−11.8369			−1.74526
$47$	0.527597	−	0.442706i	0.0769579	−	0.0645753i	−0.603497	−	0.797365i	$-0.706227\pi$
$47$	0.527597	−	0.442706i	0.0769579	−	0.0645753i	0.680455	+	0.732790i	$0.261782\pi$
$48$	−4.05683	−	1.47657i	−0.585554	−	0.213124i
$49$	2.44096	−	6.56062i	0.348708	−	0.937231i
$50$	2.56956	+	4.45062i	0.363391	+	0.629412i
$51$	−6.91971	−	2.51857i	−0.968953	−	0.352670i
$52$	−0.487198	+	2.76304i	−0.0675622	+	0.383165i
$53$	6.70341	+	2.43984i	0.920784	+	0.335138i	0.758551	−	0.651614i	$-0.225908\pi$
$53$	6.70341	+	2.43984i	0.920784	+	0.335138i	0.162234	+	0.986752i	$0.448130\pi$
$54$	−8.82603	−	7.40592i	−1.20107	−	1.00782i
$55$	−13.6511	+	4.96858i	−1.84071	+	0.669963i
$56$	−0.123085	−	1.46706i	−0.0164480	−	0.196045i
$57$	4.07155	+	3.77595i	0.539290	+	0.500137i
$58$	−2.15962	+	3.74057i	−0.283572	+	0.491161i
$59$	−0.436331	−	0.366125i	−0.0568054	−	0.0476654i	0.613943	−	0.789350i	$-0.289582\pi$
$59$	−0.436331	−	0.366125i	−0.0568054	−	0.0476654i	−0.670748	+	0.741685i	$0.734027\pi$
$60$	−7.43337	+	2.70553i	−0.959644	+	0.349282i
$61$	−0.920707	−	5.22159i	−0.117884	−	0.668556i	−0.985282	−	0.170939i	$-0.945320\pi$
$61$	−0.920707	−	5.22159i	−0.117884	−	0.668556i	0.867397	−	0.497617i	$-0.165791\pi$
$62$	7.01575	+	5.88692i	0.891002	+	0.747639i
$63$	−0.955525	+	3.51591i	−0.120385	+	0.442962i
$64$	4.99493	+	8.65147i	0.624366	+	1.08143i
$65$	−1.69150	−	2.92977i	−0.209805	−	0.363393i
$66$	−2.42670	−	13.7625i	−0.298707	−	1.69405i
$67$	1.98836	+	11.2766i	0.242917	+	1.37765i	0.825281	+	0.564722i	$0.191017\pi$
$67$	1.98836	+	11.2766i	0.242917	+	1.37765i	−0.582364	+	0.812928i	$0.697872\pi$
$68$	6.55869	+	11.3600i	0.795358	+	1.37760i
$69$	3.64903	+	6.32031i	0.439292	+	0.760876i
$70$	10.5395	+	10.6149i	1.25971	+	1.26872i
$71$	1.10107	+	0.923908i	0.130673	+	0.109648i	0.705782	−	0.708429i	$-0.250596\pi$
$71$	1.10107	+	0.923908i	0.130673	+	0.109648i	−0.575109	+	0.818077i	$0.695040\pi$
$72$	0.133062	+	0.754635i	0.0156816	+	0.0889346i
$73$	−5.59064	+	2.03483i	−0.654335	+	0.238158i	−0.647788	−	0.761820i	$-0.724306\pi$
$73$	−5.59064	+	2.03483i	−0.654335	+	0.238158i	−0.00654610	+	0.999979i	$0.502084\pi$
$74$	12.4339	+	10.4333i	1.44541	+	1.21285i
$75$	1.58427	−	2.74403i	0.182935	−	0.316853i
$76$	−1.23242	−	9.81460i	−0.141368	−	1.12581i
$77$	−11.5349	+	8.01572i	−1.31452	+	0.913476i
$78$	3.05812	−	1.11306i	0.346264	−	0.126030i
$79$	−1.30538	−	1.09535i	−0.146867	−	0.123236i	0.566394	−	0.824135i	$-0.308338\pi$
$79$	−1.30538	−	1.09535i	−0.146867	−	0.123236i	−0.713261	+	0.700899i	$0.752783\pi$
$80$	−8.71364	−	3.17151i	−0.974215	−	0.354585i
$81$	−0.516145	+	2.92720i	−0.0573494	+	0.325245i
$82$	−5.96052	−	2.16945i	−0.658229	−	0.239576i
$83$	2.46216	+	4.26459i	0.270258	+	0.468100i	0.968928	−	0.247344i	$-0.0795578\pi$
$83$	2.46216	+	4.26459i	0.270258	+	0.468100i	−0.698670	+	0.715444i	$0.746224\pi$
$84$	−6.28107	+	4.36478i	−0.685320	+	0.476236i
$85$	−14.8628	−	5.40961i	−1.61209	−	0.586754i
$86$	8.82941	−	7.40875i	0.952099	−	0.798906i
$87$	2.66303			0.285507
$88$	−1.47711	+	2.55844i	−0.157461	+	0.272730i
$89$	3.60430	+	1.31186i	0.382055	+	0.139057i	0.525906	−	0.850543i	$-0.323726\pi$
$89$	3.60430	+	1.31186i	0.382055	+	0.139057i	−0.143851	+	0.989599i	$0.545949\pi$
$90$	−5.96423	−	5.00458i	−0.628685	−	0.527529i
$91$	−2.30475	−	2.32123i	−0.241603	−	0.243331i
$92$	2.25748	−	12.8028i	0.235358	−	1.33478i
$93$	0.980526	−	5.56084i	0.101676	−	0.576632i
$94$	0.711536	+	1.23242i	0.0733893	+	0.127114i
$95$	8.74525	+	8.11033i	0.897243	+	0.832103i
$96$	5.16903	−	8.95303i	0.527562	−	0.913765i
$97$	15.3220	−	5.57676i	1.55572	−	0.566234i	0.585967	−	0.810335i	$-0.300715\pi$
$97$	15.3220	−	5.57676i	1.55572	−	0.566234i	0.969750	+	0.244101i	$0.0784928\pi$
$98$	12.4740	+	7.32089i	1.26006	+	0.739521i
$99$	5.60063	−	4.69948i	0.562884	−	0.472316i
$100$	−5.30383	+	1.93044i	−0.530383	+	0.193044i
$101$	3.75686	−	3.15238i	0.373821	−	0.313673i	−0.436450	−	0.899729i	$-0.643764\pi$
$101$	3.75686	−	3.15238i	0.373821	−	0.313673i	0.810271	+	0.586055i	$0.199320\pi$
$102$	7.60765	−	13.1768i	0.753269	−	1.30470i
$103$	5.99580	+	10.3850i	0.590784	+	1.02327i	0.994127	+	0.108218i	$0.0345146\pi$
$103$	5.99580	+	10.3850i	0.590784	+	1.02327i	−0.403344	+	0.915049i	$0.632152\pi$
$104$	−0.646475	−	0.235298i	−0.0633921	−	0.0230728i
$105$	2.41873	−	8.89984i	0.236044	−	0.868536i
$106$	−7.36985	+	12.7650i	−0.715823	+	1.23984i
$107$	−16.0047			−1.54724			−0.773618	−	0.633652i	$-0.781555\pi$
$107$	−16.0047			−1.54724			−0.773618	+	0.633652i	$0.781555\pi$
$108$	9.69348	−	8.13379i	0.932755	−	0.782675i
$109$	2.22529	−	12.6202i	0.213144	−	1.20880i	−0.670955	−	0.741498i	$-0.734116\pi$
$109$	2.22529	−	12.6202i	0.213144	−	1.20880i	0.884099	−	0.467300i	$-0.154773\pi$
$110$	−5.21230	−	29.5604i	−0.496973	−	2.81847i
$111$	1.73777	−	9.85539i	0.164942	−	0.935432i
$112$	−8.92913	−	0.813269i	−0.843724	−	0.0768467i
$113$	−2.89300			−0.272151			−0.136075	−	0.990698i	$-0.543449\pi$
$113$	−2.89300			−0.272151			−0.136075	+	0.990698i	$0.543449\pi$
$114$	−9.14431	+	6.93015i	−0.856443	+	0.649068i
$115$	7.83772	+	13.5753i	0.730872	+	1.26591i
$116$	−3.63392	−	3.04922i	−0.337401	−	0.283113i
$117$	1.30424	+	1.09439i	0.120577	+	0.101176i
$118$	0.901560	−	0.756498i	0.0829953	−	0.0696413i
$119$	−15.2303	−	1.38719i	−1.39616	−	0.127163i
$120$	−0.336822	−	1.91021i	−0.0307475	−	0.174378i
$121$	17.1865			1.56241
$122$	10.9554			0.991859
$123$	0.679105	+	3.85140i	0.0612328	+	0.347269i
$124$	−7.70528	+	6.46550i	−0.691955	+	0.580619i
$125$	−3.43785	+	5.95454i	−0.307491	+	0.532590i
$126$	−6.81146	−	3.20584i	−0.606813	−	0.285599i
$127$	2.90378	+	16.4681i	0.257669	+	1.46131i	0.789129	+	0.614228i	$0.210532\pi$
$127$	2.90378	+	16.4681i	0.257669	+	1.46131i	−0.531460	+	0.847083i	$0.678357\pi$
$128$	−4.14519	+	1.50872i	−0.366386	+	0.133354i
$129$	−6.67778	−	2.43051i	−0.587946	−	0.213995i
$130$	6.56851	−	2.39074i	0.576096	−	0.209682i
$131$	1.88083	−	10.6667i	0.164329	−	0.931954i	−0.785425	−	0.618956i	$-0.787556\pi$
$131$	1.88083	−	10.6667i	0.164329	−	0.931954i	0.949754	−	0.312997i	$-0.101333\pi$
$132$	15.3483			1.33590
$133$	10.1782	+	5.42256i	0.882562	+	0.470195i
$134$	−23.6594			−2.04386
$135$	−2.64949	+	15.0260i	−0.228032	+	1.29323i
$136$	−3.02248	+	1.10009i	−0.259176	+	0.0943322i
$137$	−8.55241	−	3.11282i	−0.730682	−	0.265946i	−0.0502284	−	0.998738i	$-0.515995\pi$
$137$	−8.55241	−	3.11282i	−0.730682	−	0.265946i	−0.680453	+	0.732791i	$0.738217\pi$
$138$	−14.1701	+	5.15748i	−1.20624	+	0.439034i
$139$	2.34102	+	13.2766i	0.198562	+	1.12610i	0.907253	+	0.420584i	$0.138175\pi$
$139$	2.34102	+	13.2766i	0.198562	+	1.12610i	−0.708691	+	0.705519i	$0.750714\pi$
$140$	−13.4910	+	9.37507i	−1.14020	+	0.792338i
$141$	0.438698	−	0.759847i	0.0369450	−	0.0639906i
$142$	−2.27507	+	1.90901i	−0.190919	+	0.160200i
$143$	1.13981	+	6.46420i	0.0953159	+	0.540564i
$144$	4.66677			0.388897
$145$	5.71990			0.475012
$146$	−2.13464	−	12.1061i	−0.176664	−	1.00191i
$147$	0.0635524	−	8.91732i	0.00524171	−	0.735488i
$148$	−13.6560	+	11.4587i	−1.12251	+	0.941900i
$149$	−3.90142	−	3.27368i	−0.319616	−	0.268190i	0.468837	−	0.883285i	$-0.344673\pi$
$149$	−3.90142	−	3.27368i	−0.319616	−	0.268190i	−0.788453	+	0.615095i	$0.789118\pi$
$150$	5.01523	+	4.20828i	0.409492	+	0.343604i
$151$	−7.06064	−	12.2294i	−0.574587	−	0.995214i	−0.996086	−	0.0883851i	$-0.971829\pi$
$151$	−7.06064	−	12.2294i	−0.574587	−	0.995214i	0.421499	−	0.906829i	$-0.361504\pi$
$152$	2.42251	+	0.120295i	0.196491	+	0.00975723i
$153$	7.96006			0.643533
$154$	−12.1720	−	26.3477i	−0.980849	−	2.12316i
$155$	2.10606	−	11.9441i	0.169163	−	0.959372i
$156$	0.620659	+	3.51993i	0.0496925	+	0.281820i
$157$	−1.73962	+	9.86585i	−0.138836	+	0.787381i	0.833275	+	0.552859i	$0.186463\pi$
$157$	−1.73962	+	9.86585i	−0.138836	+	0.787381i	−0.972111	+	0.234521i	$0.924648\pi$
$158$	2.69722	−	2.26324i	0.214579	−	0.180053i
$159$	9.08777			0.720707
$160$	11.1025	−	19.2301i	0.877732	−	1.52028i
$161$	10.6793	+	10.7556i	0.841644	+	0.847663i
$162$	−5.77120	−	2.10054i	−0.453428	−	0.165034i
$163$	−5.40390	−	9.35983i	−0.423266	−	0.733119i	0.572990	−	0.819562i	$-0.305783\pi$
$163$	−5.40390	−	9.35983i	−0.423266	−	0.733119i	−0.996257	+	0.0864433i	$0.972450\pi$
$164$	3.48323	−	6.03313i	0.271995	−	0.471109i
$165$	−14.1769	+	11.8958i	−1.10367	+	0.926090i
$166$	−9.56118	+	3.47998i	−0.742091	+	0.270099i
$167$	−16.9665	+	14.2366i	−1.31291	+	1.10166i	−0.325153	+	0.945661i	$0.605416\pi$
$167$	−16.9665	+	14.2366i	−1.31291	+	1.10166i	−0.987757	+	0.156001i	$0.950140\pi$
$168$	−0.786564	−	1.70260i	−0.0606847	−	0.131359i
$169$	10.7796	−	3.92346i	0.829201	−	0.301805i
$170$	16.3404	−	28.3024i	1.25325	−	2.17070i
$171$	−5.53183	−	2.33023i	−0.423029	−	0.178197i
$172$	6.32939	+	10.9628i	0.482611	+	0.835908i
$173$	1.03944	−	5.89497i	0.0790274	−	0.448187i	−0.919459	−	0.393186i	$-0.871373\pi$
$173$	1.03944	−	5.89497i	0.0790274	−	0.448187i	0.998486	−	0.0550005i	$-0.0175160\pi$
$174$	−0.955488	+	5.41884i	−0.0724354	+	0.410801i
$175$	1.72580	−	6.35018i	0.130458	−	0.480029i
$176$	13.7825	+	11.5649i	1.03890	+	0.871738i
$177$	−0.681860	−	0.248177i	−0.0512517	−	0.0186541i
$178$	−3.96263	+	6.86347i	−0.297012	+	0.514439i
$179$	9.69349			0.724526			0.362263	−	0.932076i	$-0.382004\pi$
$179$	9.69349			0.724526			0.362263	+	0.932076i	$0.382004\pi$
$180$	6.55041	−	5.49645i	0.488239	−	0.409681i
$181$	−10.2890	−	3.74490i	−0.764777	−	0.278356i	−0.0699670	−	0.997549i	$-0.522289\pi$
$181$	−10.2890	−	3.74490i	−0.764777	−	0.278356i	−0.694810	+	0.719193i	$0.744512\pi$
$182$	5.55027	−	3.85694i	0.411414	−	0.285895i
$183$	−3.37729	−	5.84964i	−0.249657	−	0.432418i
$184$	2.99550	+	1.09027i	0.220831	+	0.0803760i
$185$	3.73255	−	21.1683i	0.274422	−	1.55633i
$186$	10.9636	+	3.99043i	0.803891	+	0.292592i
$187$	23.5087	+	19.7262i	1.71913	+	1.44252i
$188$	−1.46868	+	0.534555i	−0.107114	+	0.0389865i
$189$	1.23343	+	14.7014i	0.0897191	+	1.06937i
$190$	−19.6410	+	14.8852i	−1.42491	+	1.07989i
$191$	8.13645	−	14.0927i	0.588733	−	1.01971i	−0.405666	−	0.914021i	$-0.632960\pi$
$191$	8.13645	−	14.0927i	0.588733	−	1.01971i	0.994399	−	0.105694i	$-0.0337063\pi$
$192$	9.74902	+	8.18039i	0.703575	+	0.590369i
$193$	−8.70158	+	3.16712i	−0.626353	+	0.227974i	−0.635643	−	0.771983i	$-0.719265\pi$
$193$	−8.70158	+	3.16712i	−0.626353	+	0.227974i	0.00928997	+	0.999957i	$0.497043\pi$
$194$	5.85032	+	33.1788i	0.420028	+	2.38210i
$195$	−3.30144	−	2.77024i	−0.236421	−	0.198381i
$196$	−10.2972	+	12.0956i	−0.735517	+	0.863975i
$197$	−3.06593	−	5.31035i	−0.218439	−	0.378347i	0.735892	−	0.677099i	$-0.236763\pi$
$197$	−3.06593	−	5.31035i	−0.218439	−	0.378347i	−0.954331	+	0.298752i	$0.903430\pi$
$198$	7.55320	+	13.0825i	0.536783	+	0.929735i
$199$	1.26460	+	7.17191i	0.0896452	+	0.508403i	0.996257	+	0.0864380i	$0.0275484\pi$
$199$	1.26460	+	7.17191i	0.0896452	+	0.508403i	−0.906612	+	0.421965i	$0.861340\pi$
$200$	−0.240328	−	1.36297i	−0.0169938	−	0.0963764i
$201$	7.29361	+	12.6329i	0.514451	+	0.891056i
$202$	5.06663	+	8.77567i	0.356487	+	0.617454i
$203$	5.34729	−	1.41240i	0.375306	−	0.0991309i
$204$	12.8011	+	10.7414i	0.896259	+	0.752051i
$205$	1.45864	+	8.27238i	0.101876	+	0.577768i
$206$	−23.2831	+	8.47437i	−1.62221	+	0.590437i
$207$	−6.04333	−	5.07095i	−0.420040	−	0.352456i
$208$	−2.09492	+	3.62850i	−0.145256	+	0.251591i
$209$	−10.5627	−	20.5906i	−0.730637	−	1.42428i
$210$	17.2419	+	8.11496i	1.18981	+	0.559985i
$211$	−6.12025	+	2.22759i	−0.421336	+	0.153354i	−0.543982	−	0.839097i	$-0.683084\pi$
$211$	−6.12025	+	2.22759i	−0.421336	+	0.153354i	0.122646	+	0.992450i	$0.460862\pi$
$212$	−12.4010	−	10.4057i	−0.851705	−	0.714665i
$213$	1.72066	+	0.626268i	0.117898	+	0.0429112i
$214$	5.74245	−	32.5671i	0.392546	−	2.22624i
$215$	−14.3431	−	5.22048i	−0.978195	−	0.356034i
$216$	1.55141	+	2.68712i	0.105560	+	0.182835i
$217$	−0.980449	−	11.6860i	−0.0665572	−	0.793300i
$218$	24.8817	+	9.05620i	1.68520	+	0.613363i
$219$	−5.80600	+	4.87181i	−0.392333	+	0.329206i
$220$	32.9665			2.22260
$221$	−3.57328	+	6.18910i	−0.240365	+	0.416324i
$222$	19.4306	+	7.07217i	1.30410	+	0.474653i
$223$	−0.0474803	−	0.0398407i	−0.00317952	−	0.00266793i	0.641196	−	0.767377i	$-0.278438\pi$
$223$	−0.0474803	−	0.0398407i	−0.00317952	−	0.00266793i	−0.644376	+	0.764709i	$0.722883\pi$
$224$	5.63082	−	20.7189i	0.376225	−	1.38434i
$225$	−0.594762	+	3.37306i	−0.0396508	+	0.224871i
$226$	1.03800	−	5.88680i	0.0690468	−	0.391584i
$227$	5.11264	+	8.85535i	0.339338	+	0.587751i	0.984308	−	0.176457i	$-0.0564637\pi$
$227$	5.11264	+	8.85535i	0.339338	+	0.587751i	−0.644970	+	0.764208i	$0.723130\pi$
$228$	−5.75167	−	11.2121i	−0.380914	−	0.742543i
$229$	−5.83458	+	10.1058i	−0.385560	+	0.667809i	−0.991847	−	0.127437i	$-0.959325\pi$
$229$	−5.83458	+	10.1058i	−0.385560	+	0.667809i	0.606287	+	0.795246i	$0.292658\pi$
$230$	−30.4358	+	11.0777i	−2.00688	+	0.730443i
$231$	−10.3160	+	14.6216i	−0.678741	+	0.962028i
$232$	0.891059	−	0.747687i	0.0585009	−	0.0490881i
$233$	16.3163	−	5.93865i	1.06892	−	0.389054i	0.253145	−	0.967428i	$-0.418535\pi$
$233$	16.3163	−	5.93865i	1.06892	−	0.389054i	0.815771	+	0.578375i	$0.196313\pi$
$234$	−2.69487	+	2.26126i	−0.176169	+	0.147823i
$235$	0.942275	−	1.63207i	0.0614673	−	0.106464i
$236$	0.646286	+	1.11940i	0.0420696	+	0.0728668i
$237$	−2.03994	−	0.742477i	−0.132508	−	0.0482291i
$238$	8.28730	−	30.4936i	0.537186	−	1.97660i
$239$	−7.29272	+	12.6314i	−0.471727	+	0.817055i	−0.999477	−	0.0323450i	$-0.989702\pi$
$239$	−7.29272	+	12.6314i	−0.471727	+	0.817055i	0.527750	+	0.849400i	$0.323036\pi$
$240$	−11.8130			−0.762528
$241$	3.61047	−	3.02954i	0.232571	−	0.195150i	−0.519053	−	0.854742i	$-0.673715\pi$
$241$	3.61047	−	3.02954i	0.232571	−	0.195150i	0.751624	+	0.659592i	$0.229271\pi$
$242$	−6.16647	+	34.9718i	−0.396396	+	2.24807i
$243$	−2.24732	−	12.7452i	−0.144166	−	0.817603i
$244$	−2.08936	+	11.8494i	−0.133758	+	0.758579i
$245$	0.136504	−	19.1534i	0.00872090	−	1.22367i
$246$	−8.08063			−0.515202
$247$	4.29504	−	3.25506i	0.273287	−	0.207115i
$248$	−1.23320	−	2.13597i	−0.0783086	−	0.135634i
$249$	4.80561	+	4.03238i	0.304543	+	0.255542i
$250$	−10.8830	−	9.13195i	−0.688304	−	0.577555i
$251$	10.2659	−	8.61415i	0.647981	−	0.543720i	−0.258477	−	0.966017i	$-0.583221\pi$
$251$	10.2659	−	8.61415i	0.647981	−	0.543720i	0.906457	+	0.422297i	$0.138776\pi$
$252$	4.76647	−	6.75586i	0.300259	−	0.425579i
$253$	−5.28142	−	29.9524i	−0.332040	−	1.88309i
$254$	−34.5519			−2.16798
$255$	−20.1494			−1.26180
$256$	1.88671	+	10.7001i	0.117919	+	0.668754i
$257$	−7.99884	+	6.71182i	−0.498954	+	0.418672i	−0.857222	−	0.514947i	$-0.827812\pi$
$257$	−7.99884	+	6.71182i	−0.498954	+	0.418672i	0.358268	+	0.933619i	$0.383367\pi$
$258$	7.34167	−	12.7161i	0.457072	−	0.791673i
$259$	−1.73763	−	20.7110i	−0.107971	−	1.28692i
$260$	1.33311	+	7.56043i	0.0826759	+	0.468878i
$261$	−2.70506	+	0.984561i	−0.167439	+	0.0609428i
$262$	21.0302	+	7.65436i	1.29925	+	0.472888i
$263$	−20.2112	+	7.35629i	−1.24628	+	0.453608i	−0.879143	−	0.476559i	$-0.841884\pi$
$263$	−20.2112	+	7.35629i	−1.24628	+	0.453608i	−0.367136	+	0.930167i	$0.619662\pi$
$264$	−0.653524	+	3.70632i	−0.0402216	+	0.228108i
$265$	19.5196			1.19908
$266$	−14.6859	+	18.7654i	−0.900453	+	1.15058i
$267$	4.88632			0.299038
$268$	4.51220	−	25.5899i	0.275626	−	1.56315i
$269$	20.8715	−	7.59660i	1.27256	−	0.463173i	0.384593	−	0.923086i	$-0.374342\pi$
$269$	20.8715	−	7.59660i	1.27256	−	0.463173i	0.887964	+	0.459914i	$0.152120\pi$
$270$	−29.6249	−	10.7826i	−1.80291	−	0.656207i
$271$	−21.7488	+	7.91591i	−1.32115	+	0.480858i	−0.903825	−	0.427902i	$-0.859253\pi$
$271$	−21.7488	+	7.91591i	−1.32115	+	0.480858i	−0.417320	+	0.908760i	$0.637031\pi$
$272$	3.40157	+	19.2912i	0.206250	+	1.16970i
$273$	−3.77042	−	1.77456i	−0.228196	−	0.107401i
$274$	9.40267	−	16.2859i	0.568036	−	0.983868i
$275$	−10.1155	+	8.48788i	−0.609985	+	0.511838i
$276$	−2.87588	−	16.3099i	−0.173108	−	0.981742i
$277$	−15.1265			−0.908864			−0.454432	−	0.890781i	$-0.650158\pi$
$277$	−15.1265			−0.908864			−0.454432	+	0.890781i	$0.650158\pi$
$278$	−27.8556			−1.67067
$279$	1.05992	+	6.01112i	0.0634559	+	0.359876i
$280$	−1.68945	−	3.65701i	−0.100964	−	0.218548i
$281$	−12.8771	+	10.8052i	−0.768183	+	0.644582i	−0.940243	−	0.340504i	$-0.889402\pi$
$281$	−12.8771	+	10.8052i	−0.768183	+	0.644582i	0.172060	+	0.985087i	$0.444958\pi$
$282$	1.38876	+	1.16531i	0.0826996	+	0.0693932i
$283$	10.1110	+	8.48415i	0.601037	+	0.504330i	0.891779	−	0.452471i	$-0.149458\pi$
$283$	10.1110	+	8.48415i	0.601037	+	0.504330i	−0.290742	+	0.956802i	$0.593902\pi$
$284$	−1.63089	−	2.82478i	−0.0967754	−	0.167620i
$285$	14.0028	+	5.89854i	0.829452	+	0.349399i
$286$	−13.5626			−0.801971
$287$	3.40630	+	7.37331i	0.201067	+	0.435233i
$288$	−1.94055	+	11.0054i	−0.114348	+	0.648499i
$289$	2.85000	+	16.1631i	0.167647	+	0.950773i
$290$	−2.05228	+	11.6391i	−0.120514	+	0.683471i
$291$	15.9123	−	13.3520i	0.932793	−	0.782706i
$292$	13.5011			0.790091
$293$	12.3156	−	21.3312i	0.719483	−	1.24618i	−0.241722	−	0.970345i	$-0.577712\pi$
$293$	12.3156	−	21.3312i	0.719483	−	1.24618i	0.961205	−	0.275835i	$-0.0889543\pi$
$294$	18.1225	+	3.32883i	1.05693	+	0.194141i
$295$	−1.46456	−	0.533057i	−0.0852700	−	0.0310358i
$296$	−2.18559	−	3.78555i	−0.127035	−	0.220031i
$297$	14.8021	−	25.6380i	0.858905	−	1.48767i
$298$	8.06122	−	6.76417i	0.466974	−	0.391838i
$299$	6.65562	−	2.42245i	0.384905	−	0.140094i
$300$	−5.50814	+	4.62188i	−0.318013	+	0.266844i
$301$	−14.6979	−	1.33869i	−0.847170	−	0.0771606i
$302$	27.4182	−	9.97940i	1.57774	−	0.574250i
$303$	3.12384	−	5.41064i	0.179460	−	0.310833i
$304$	3.28342	−	14.4022i	0.188317	−	0.826022i
$305$	−7.25406	−	12.5644i	−0.415366	−	0.719435i
$306$	−2.85605	+	16.1974i	−0.163269	+	0.925946i
$307$	−0.0255803	+	0.145073i	−0.00145995	+	0.00827977i	−0.985529	−	0.169507i	$-0.945783\pi$
$307$	−0.0255803	+	0.145073i	−0.00145995	+	0.00827977i	0.984069	+	0.177787i	$0.0568937\pi$
$308$	30.8190	−	8.14033i	1.75607	−	0.463838i
$309$	11.7025	+	9.81956i	0.665731	+	0.558615i
$310$	23.5486	+	8.57101i	1.33747	+	0.486800i
$311$	15.8034	−	27.3723i	0.896130	−	1.55214i	0.0637294	−	0.997967i	$-0.479701\pi$
$311$	15.8034	−	27.3723i	0.896130	−	1.55214i	0.832400	−	0.554175i	$-0.186966\pi$
$312$	−0.876422			−0.0496176
$313$	−0.828462	+	0.695163i	−0.0468275	+	0.0392929i	−0.665901	−	0.746040i	$-0.731953\pi$
$313$	−0.828462	+	0.695163i	−0.0468275	+	0.0392929i	0.619074	+	0.785333i	$0.287508\pi$
$314$	−19.4513	−	7.07968i	−1.09770	−	0.399529i
$315$	0.833499	+	9.93454i	0.0469623	+	0.559748i
$316$	1.93351	+	3.34894i	0.108769	+	0.188393i
$317$	−7.22244	−	2.62875i	−0.405652	−	0.147645i	0.131132	−	0.991365i	$-0.458139\pi$
$317$	−7.22244	−	2.62875i	−0.405652	−	0.147645i	−0.536784	+	0.843720i	$0.680361\pi$
$318$	−3.26067	+	18.4922i	−0.182849	+	1.03699i
$319$	−10.4288	−	3.79578i	−0.583902	−	0.212523i
$320$	20.9398	+	17.5706i	1.17057	+	0.982227i
$321$	−19.1594	+	6.97345i	−1.06937	+	0.389220i
$322$	−25.7177	+	17.8715i	−1.43319	+	0.995939i
$323$	5.60049	−	24.5657i	0.311620	−	1.36687i
$324$	3.37260	−	5.84151i	0.187366	−	0.324528i
$325$	−2.35563	−	1.97661i	−0.130667	−	0.109643i
$326$	20.9847	−	7.63779i	1.16223	−	0.423018i
$327$	−2.83487	−	16.0773i	−0.156769	−	0.889079i
$328$	1.30857	+	1.09802i	0.0722537	+	0.0606280i
$329$	0.477890	−	1.75842i	0.0263469	−	0.0969450i
$330$	−19.1195	−	33.1159i	−1.05249	−	1.82297i
$331$	−7.67925	−	13.3008i	−0.422090	−	0.731081i	0.574054	−	0.818817i	$-0.305370\pi$
$331$	−7.67925	−	13.3008i	−0.422090	−	0.731081i	−0.996144	+	0.0877368i	$0.972037\pi$
$332$	−1.94048	−	11.0050i	−0.106498	−	0.603980i
$333$	1.87848	+	10.6534i	0.102940	+	0.583803i
$334$	−22.8817	−	39.6322i	−1.25203	−	2.16858i
$335$	15.6659	+	27.1341i	0.855918	+	1.48249i
$336$	−11.0435	+	2.91695i	−0.602471	+	0.159133i
$337$	1.30698	+	1.09668i	0.0711956	+	0.0597402i	0.677691	−	0.735347i	$-0.262981\pi$
$337$	1.30698	+	1.09668i	0.0711956	+	0.0597402i	−0.606495	+	0.795087i	$0.707425\pi$
$338$	4.11592	+	23.3425i	0.223876	+	1.26967i
$339$	−3.46324	+	1.26052i	−0.188097	+	0.0684618i
$340$	27.4955	+	23.0714i	1.49115	+	1.25122i
$341$	−11.7661	+	20.3795i	−0.637170	+	1.10361i
$342$	6.72645	−	10.4203i	0.363725	−	0.563465i
$343$	−4.60189	−	17.9394i	−0.248479	−	0.968637i
$344$	−2.91681	+	1.06163i	−0.157264	+	0.0572394i
$345$	15.2975	+	12.8362i	0.823591	+	0.691075i
$346$	11.6224	+	4.23020i	0.624823	+	0.227417i
$347$	5.90839	−	33.5082i	0.317179	−	1.79881i	−0.242552	−	0.970138i	$-0.577984\pi$
$347$	5.90839	−	33.5082i	0.317179	−	1.79881i	0.559731	−	0.828674i	$-0.310904\pi$
$348$	−5.67878	−	2.06691i	−0.304415	−	0.110798i
$349$	4.26910	+	7.39429i	0.228519	+	0.395807i	0.957370	−	0.288866i	$-0.0932782\pi$
$349$	4.26910	+	7.39429i	0.228519	+	0.395807i	−0.728850	+	0.684673i	$0.759945\pi$
$350$	12.3024	+	5.79016i	0.657590	+	0.309497i
$351$	6.47830	+	2.35791i	0.345786	+	0.125856i
$352$	−33.0040	+	27.6936i	−1.75912	+	1.47608i
$353$	−32.5024			−1.72993			−0.864964	−	0.501834i	$-0.832659\pi$
$353$	−32.5024			−1.72993			−0.864964	+	0.501834i	$0.832659\pi$
$354$	0.749649	−	1.29843i	0.0398434	−	0.0690108i
$355$	3.69579	+	1.34516i	0.196152	+	0.0713935i
$356$	−6.66779	−	5.59494i	−0.353392	−	0.296531i
$357$	−18.8368	+	4.97542i	−0.996947	+	0.263327i
$358$	−3.47800	+	19.7247i	−0.183818	+	1.04248i
$359$	−1.01314	+	5.74580i	−0.0534714	+	0.303252i	−0.999801	−	0.0199519i	$-0.993649\pi$
$359$	−1.01314	+	5.74580i	−0.0534714	+	0.303252i	0.946330	+	0.323203i	$0.104760\pi$
$360$	1.04837	+	1.81583i	0.0552540	+	0.0957028i
$361$	−11.0834	+	15.4324i	−0.583338	+	0.812230i
$362$	11.3119	−	19.5929i	0.594542	−	1.02978i
$363$	20.5741	−	7.48836i	1.07986	−	0.393037i
$364$	3.11314	+	6.73874i	0.163173	+	0.353206i
$365$	−12.4707	+	10.4641i	−0.652744	+	0.547717i
$366$	13.1148	−	4.77341i	0.685524	−	0.249510i
$367$	5.59812	−	4.69738i	0.292219	−	0.245201i	−0.484878	−	0.874582i	$-0.661136\pi$
$367$	5.59812	−	4.69738i	0.292219	−	0.245201i	0.777097	+	0.629381i	$0.216691\pi$
$368$	9.70698	−	16.8130i	0.506012	−	0.876438i
$369$	−2.11374	−	3.66110i	−0.110037	−	0.190589i
$370$	41.7349	+	15.1903i	2.16969	+	0.789704i
$371$	18.2480	−	4.81990i	0.947387	−	0.250237i
$372$	−6.40696	+	11.0972i	−0.332185	+	0.575362i
$373$	34.6762			1.79547			0.897734	−	0.440538i	$-0.145212\pi$
$373$	34.6762			1.79547			0.897734	+	0.440538i	$0.145212\pi$
$374$	−48.5744	+	40.7588i	−2.51172	+	2.10759i
$375$	−1.52102	+	8.62614i	−0.0785452	+	0.445452i
$376$	−0.0665490	−	0.377418i	−0.00343200	−	0.0194639i
$377$	0.448789	−	2.54521i	0.0231138	−	0.131085i
$378$	−30.3575	−	2.76498i	−1.56142	−	0.142215i
$379$	24.9174			1.27992			0.639962	−	0.768407i	$-0.278950\pi$
$379$	24.9174			1.27992			0.639962	+	0.768407i	$0.278950\pi$
$380$	−12.3540	−	24.0825i	−0.633745	−	1.23541i
$381$	10.6515	+	18.4489i	0.545692	+	0.945167i
$382$	25.7571	+	21.6128i	1.31785	+	1.10581i
$383$	11.6286	+	9.75752i	0.594191	+	0.498586i	0.889573	−	0.456794i	$-0.151002\pi$
$383$	11.6286	+	9.75752i	0.594191	+	0.498586i	−0.295381	+	0.955379i	$0.595447\pi$
$384$	−4.30487	+	3.61221i	−0.219682	+	0.184335i
$385$	−22.1576	+	31.4055i	−1.12926	+	1.60057i
$386$	−3.32247	−	18.8427i	−0.169109	−	0.959066i
$387$	7.68176			0.390486
$388$	−37.0018			−1.87848
$389$	−1.44374	−	8.18785i	−0.0732004	−	0.415140i	−0.999284	−	0.0378230i	$-0.987958\pi$
$389$	−1.44374	−	8.18785i	−0.0732004	−	0.415140i	0.926084	−	0.377317i	$-0.123153\pi$
$390$	6.82154	−	5.72395i	0.345422	−	0.289843i
$391$	16.5571	−	28.6778i	0.837329	−	1.45030i
$392$	−2.48241	−	3.00161i	−0.125381	−	0.151604i
$393$	−2.39605	−	13.5887i	−0.120865	−	0.685458i
$394$	11.9058	−	4.33334i	0.599804	−	0.218311i
$395$	−4.38157	−	1.59476i	−0.220461	−	0.0802411i
$396$	−15.5905	+	5.67450i	−0.783455	+	0.285154i
$397$	2.53184	−	14.3588i	0.127069	−	0.720646i	−0.852988	−	0.521931i	$-0.825212\pi$
$397$	2.53184	−	14.3588i	0.127069	−	0.720646i	0.980057	−	0.198715i	$-0.0636770\pi$
$398$	−15.0474			−0.754259
$399$	14.5471	+	2.05662i	0.728265	+	0.102960i
$400$	−8.42879			−0.421439
$401$	−2.95599	+	16.7642i	−0.147615	+	0.837166i	0.817615	+	0.575765i	$0.195296\pi$
$401$	−2.95599	+	16.7642i	−0.147615	+	0.837166i	−0.965230	+	0.261401i	$0.915816\pi$
$402$	−28.3228	+	10.3087i	−1.41261	+	0.514150i
$403$	−5.14956	−	1.87429i	−0.256518	−	0.0933649i
$404$	−10.4580	+	3.80641i	−0.520306	+	0.189376i
$405$	1.41231	+	8.00963i	0.0701785	+	0.398002i
$406$	0.955413	+	11.3876i	0.0474163	+	0.565159i
$407$	−20.8529	+	36.1182i	−1.03364	+	1.79031i
$408$	−3.13891	+	2.63386i	−0.155399	+	0.130396i
$409$	2.59611	+	14.7233i	0.128369	+	0.728019i	0.979249	+	0.202659i	$0.0649583\pi$
$409$	2.59611	+	14.7233i	0.128369	+	0.728019i	−0.850880	+	0.525360i	$0.823931\pi$
$410$	−17.3563			−0.857168
$411$	−11.5944			−0.571912
$412$	−4.72542	−	26.7992i	−0.232805	−	1.32030i
$413$	−1.50078	−	0.136692i	−0.0738485	−	0.00672616i
$414$	12.4869	−	10.4778i	0.613698	−	0.514954i
$415$	10.3219	+	8.66112i	0.506683	+	0.425158i
$416$	−7.68579	−	6.44914i	−0.376827	−	0.316195i
$417$	8.58720	+	14.8735i	0.420517	+	0.728357i
$418$	45.6884	−	14.1055i	2.23469	−	0.689924i
$419$	28.3612			1.38554			0.692768	−	0.721161i	$-0.256391\pi$
$419$	28.3612			1.38554			0.692768	+	0.721161i	$0.256391\pi$
$420$	−12.0654	+	17.1012i	−0.588732	+	0.834452i
$421$	−2.52148	+	14.3000i	−0.122889	+	0.696940i	0.859650	+	0.510884i	$0.170682\pi$
$421$	−2.52148	+	14.3000i	−0.122889	+	0.696940i	−0.982539	+	0.186056i	$0.940429\pi$
$422$	−2.33686	−	13.2530i	−0.113757	−	0.645145i
$423$	−0.164695	+	0.934031i	−0.00800774	+	0.0454142i
$424$	3.04080	−	2.55153i	0.147674	−	0.123913i
$425$	−14.3769			−0.697382
$426$	−1.89172	+	3.27656i	−0.0916542	+	0.158750i
$427$	−9.88398	−	9.95468i	−0.478320	−	0.481741i
$428$	34.1293	+	12.4220i	1.64970	+	0.600442i
$429$	4.18100	+	7.24171i	0.201861	+	0.349633i
$430$	15.7691	−	27.3129i	0.760454	−	1.31715i
$431$	−12.3534	+	10.3657i	−0.595042	+	0.499300i	−0.889848	−	0.456258i	$-0.849190\pi$
$431$	−12.3534	+	10.3657i	−0.595042	+	0.499300i	0.294806	+	0.955557i	$0.404745\pi$
$432$	17.7571	−	6.46307i	0.854340	−	0.310954i
$433$	−25.2320	+	21.1721i	−1.21257	+	1.01747i	−0.213392	+	0.976967i	$0.568451\pi$
$433$	−25.2320	+	21.1721i	−1.21257	+	1.01747i	−0.999179	+	0.0405018i	$0.987104\pi$
$434$	24.1310	+	2.19786i	1.15833	+	0.105501i
$435$	6.84734	−	2.49223i	0.328305	−	0.119493i
$436$	−14.5405	+	25.1848i	−0.696362	+	1.20613i
$437$	−19.9015	+	15.0826i	−0.952017	+	0.721499i
$438$	−7.83017	−	13.5623i	−0.374140	−	0.648030i
$439$	5.45982	−	30.9642i	0.260583	−	1.47784i	−0.520742	−	0.853714i	$-0.674345\pi$
$439$	5.45982	−	30.9642i	0.260583	−	1.47784i	0.781325	−	0.624125i	$-0.214544\pi$
$440$	−1.40370	+	7.96078i	−0.0669187	+	0.379515i
$441$	3.23231	+	9.08155i	0.153919	+	0.432455i
$442$	−11.3117	−	9.49168i	−0.538045	−	0.451473i
$443$	−9.94690	−	3.62038i	−0.472592	−	0.172009i	0.0947344	−	0.995503i	$-0.469800\pi$
$443$	−9.94690	−	3.62038i	−0.472592	−	0.172009i	−0.567326	+	0.823493i	$0.692022\pi$
$444$	−11.3550	+	19.6674i	−0.538882	+	0.933372i
$445$	10.4953			0.497524
$446$	0.0981052	−	0.0823200i	0.00464542	−	0.00389797i
$447$	−6.09679	−	2.21905i	−0.288368	−	0.104958i
$448$	23.9144	+	11.2554i	1.12985	+	0.531767i
$449$	3.24508	+	5.62065i	0.153145	+	0.265255i	0.932382	−	0.361474i	$-0.117727\pi$
$449$	3.24508	+	5.62065i	0.153145	+	0.265255i	−0.779237	+	0.626729i	$0.784393\pi$
$450$	−6.65024	−	2.42049i	−0.313495	−	0.114103i
$451$	2.83016	−	16.0506i	0.133267	−	0.755794i
$452$	6.16919	+	2.24540i	0.290174	+	0.105615i
$453$	−13.7808	−	11.5635i	−0.647480	−	0.543300i
$454$	−19.8536	+	7.22613i	−0.931777	+	0.339139i
$455$	−8.09845	−	3.81156i	−0.379661	−	0.178689i
$456$	2.95242	−	0.911509i	0.138260	−	0.0426853i
$457$	−20.8925	+	36.1869i	−0.977311	+	1.69275i	−0.305222	+	0.952281i	$0.598731\pi$
$457$	−20.8925	+	36.1869i	−0.977311	+	1.69275i	−0.672089	+	0.740470i	$0.734603\pi$
$458$	−18.4702	−	15.4983i	−0.863056	−	0.724190i
$459$	30.2882	−	11.0240i	1.41373	−	0.514556i
$460$	−6.17708	−	35.0320i	−0.288008	−	1.63337i
$461$	−22.2423	−	18.6635i	−1.03593	−	0.869247i	−0.0443839	−	0.999015i	$-0.514132\pi$
$461$	−22.2423	−	18.6635i	−1.03593	−	0.869247i	−0.991544	+	0.129767i	$0.958577\pi$
$462$	−26.0512	−	26.2375i	−1.21201	−	1.22068i
$463$	−5.71413	−	9.89717i	−0.265558	−	0.459960i	0.702151	−	0.712028i	$-0.252223\pi$
$463$	−5.71413	−	9.89717i	−0.265558	−	0.459960i	−0.967710	+	0.252067i	$0.918890\pi$
$464$	−3.54204	−	6.13499i	−0.164435	−	0.284810i
$465$	−2.68299	−	15.2160i	−0.124421	−	0.705625i
$466$	6.22995	+	35.3318i	0.288597	+	1.63671i
$467$	−11.7489	−	20.3497i	−0.543674	−	0.941671i	−0.998689	−	0.0511871i	$-0.983700\pi$
$467$	−11.7489	−	20.3497i	−0.543674	−	0.941671i	0.455015	−	0.890484i	$-0.349634\pi$
$468$	−1.93182	−	3.34602i	−0.0892986	−	0.154670i
$469$	21.3455	+	21.4981i	0.985643	+	0.992692i
$470$	2.98291	+	2.50296i	0.137591	+	0.115453i
$471$	2.21616	+	12.5685i	0.102115	+	0.579124i
$472$	−0.297832	+	0.108402i	−0.0137088	+	0.00498960i
$473$	22.6868	+	19.0365i	1.04314	+	0.875299i
$474$	2.24275	−	3.88455i	0.103013	−	0.178423i
$475$	9.99120	+	4.20870i	0.458428	+	0.193109i
$476$	31.4013	+	14.7791i	1.43927	+	0.677399i
$477$	−9.23119	+	3.35988i	−0.422667	+	0.153838i
$478$	−23.0862	−	19.3716i	−1.05594	−	0.886037i
$479$	22.4364	+	8.16619i	1.02515	+	0.373123i	0.799231	−	0.601024i	$-0.205241\pi$
$479$	22.4364	+	8.16619i	1.02515	+	0.373123i	0.225915	+	0.974147i	$0.427463\pi$
$480$	4.91212	−	27.8580i	0.224207	−	1.27154i
$481$	−9.12648	−	3.32177i	−0.416132	−	0.151460i
$482$	4.86920	+	8.43371i	0.221786	+	0.384145i
$483$	17.4706	+	8.22258i	0.794939	+	0.374140i
$484$	−36.6494	−	13.3393i	−1.66588	−	0.606331i
$485$	34.1778	−	28.6786i	1.55193	−	1.30223i
$486$	26.7407			1.21298
$487$	−11.4548	+	19.8403i	−0.519066	+	0.899049i	0.480688	+	0.876892i	$0.340387\pi$
$487$	−11.4548	+	19.8403i	−0.519066	+	0.899049i	−0.999754	+	0.0221575i	$0.992946\pi$
$488$	−2.77243	−	1.00908i	−0.125502	−	0.0456790i
$489$	−10.5472	−	8.85018i	−0.476963	−	0.400219i
$490$	38.9252	+	7.14996i	1.75846	+	0.323002i
$491$	5.21793	−	29.5924i	0.235482	−	1.33548i	−0.606115	−	0.795377i	$-0.707273\pi$
$491$	5.21793	−	29.5924i	0.235482	−	1.33548i	0.841596	−	0.540107i	$-0.181616\pi$
$492$	1.54110	−	8.73999i	0.0694780	−	0.394029i
$493$	−6.04162	−	10.4644i	−0.272101	−	0.471293i
$494$	5.08247	+	9.90763i	0.228671	+	0.445765i
$495$	10.0026	−	17.3250i	0.449583	−	0.778700i
$496$	−14.1150	+	5.13745i	−0.633783	+	0.230678i
$497$	3.78718	+	0.344938i	0.169878	+	0.0154726i
$498$	−9.92949	+	8.33183i	−0.444951	+	0.373358i
$499$	16.1000	−	5.85993i	0.720736	−	0.262327i	0.0444979	−	0.999009i	$-0.485831\pi$
$499$	16.1000	−	5.85993i	0.720736	−	0.262327i	0.676238	+	0.736683i	$0.263609\pi$
$500$	11.9527	−	10.0295i	0.534539	−	0.448531i
$501$	−14.1077	+	24.4353i	−0.630286	+	1.09169i
$502$	13.8450	+	23.9803i	0.617933	+	1.07029i
$503$	−12.2898	−	4.47312i	−0.547975	−	0.199447i	0.0531717	−	0.998585i	$-0.483067\pi$
$503$	−12.2898	−	4.47312i	−0.547975	−	0.199447i	−0.601146	+	0.799139i	$0.705289\pi$
$504$	1.42845	+	1.43867i	0.0636284	+	0.0640835i
$505$	6.70966	−	11.6215i	0.298576	−	0.517149i
$506$	62.8434			2.79373
$507$	11.1949	−	9.39361i	0.497181	−	0.417185i
$508$	6.58956	−	37.3712i	0.292364	−	1.65808i
$509$	−0.505304	−	2.86572i	−0.0223972	−	0.127021i	0.971559	−	0.236797i	$-0.0760977\pi$
$509$	−0.505304	−	2.86572i	−0.0223972	−	0.127021i	−0.993956	+	0.109776i	$0.964987\pi$
$510$	7.22954	−	41.0007i	0.320129	−	1.81554i
$511$	−9.07439	+	12.8618i	−0.401427	+	0.568972i
$512$	−31.2723			−1.38205
$513$	−24.2759	−	1.20547i	−1.07181	−	0.0532230i
$514$	−10.7875	−	18.6845i	−0.475817	−	0.824139i
$515$	25.1357	+	21.0913i	1.10761	+	0.929396i
$516$	12.3536	+	10.3659i	0.543837	+	0.456333i
$517$	−2.80106	+	2.35037i	−0.123191	+	0.103369i
$518$	42.7670	+	3.89524i	1.87907	+	0.171147i
$519$	−1.32418	−	7.50981i	−0.0581252	−	0.329644i
$520$	−1.88246			−0.0825513
$521$	−4.27064			−0.187100			−0.0935501	−	0.995615i	$-0.529822\pi$
$521$	−4.27064			−0.187100			−0.0935501	+	0.995615i	$0.529822\pi$
$522$	−1.03286	−	5.85762i	−0.0452069	−	0.256381i
$523$	−0.202967	+	0.170310i	−0.00887514	+	0.00744713i	−0.647214	−	0.762308i	$-0.724066\pi$
$523$	−0.202967	+	0.170310i	−0.00887514	+	0.00744713i	0.638339	+	0.769755i	$0.279622\pi$
$524$	−12.2897	+	21.2864i	−0.536878	+	0.929901i
$525$	−0.700877	−	8.35380i	−0.0305888	−	0.364590i
$526$	−7.71714	−	43.7661i	−0.336483	−	1.90829i
$527$	−24.0759	+	8.76290i	−1.04876	+	0.381718i
$528$	21.5381	+	7.83924i	0.937327	+	0.341159i
$529$	−9.22649	+	3.35817i	−0.401152	+	0.146007i
$530$	−7.00356	+	39.7191i	−0.304215	+	1.72529i
$531$	0.784375			0.0340390
$532$	−17.4958	−	19.4631i	−0.758539	−	0.843834i
$533$	3.79544			0.164399
$534$	−1.75320	+	9.94288i	−0.0758683	+	0.430270i
$535$	−41.1523	+	14.9782i	−1.77917	+	0.647565i
$536$	5.98734	+	2.17922i	0.258614	+	0.0941278i
$537$	11.6042	−	4.22357i	0.500756	−	0.182260i
$538$	7.96923	+	45.1957i	0.343578	+	1.94853i
$539$	−12.9593	+	34.8310i	−0.558196	+	1.50028i
$540$	17.3123	−	29.9858i	0.745004	−	1.29038i
$541$	12.1830	−	10.2228i	0.523789	−	0.439511i	−0.342161	−	0.939641i	$-0.611159\pi$
$541$	12.1830	−	10.2228i	0.523789	−	0.439511i	0.865950	+	0.500130i	$0.166715\pi$
$542$	−8.30421	−	47.0955i	−0.356696	−	2.02293i
$543$	−13.9488			−0.598599
$544$	−46.9079			−2.01116
$545$	−6.08899	−	34.5324i	−0.260824	−	1.47921i
$546$	4.96376	−	7.03549i	0.212429	−	0.301091i
$547$	1.61686	−	1.35671i	0.0691322	−	0.0580088i	−0.607567	−	0.794269i	$-0.707854\pi$
$547$	1.61686	−	1.35671i	0.0691322	−	0.0580088i	0.676699	+	0.736260i	$0.263410\pi$
$548$	15.8216	+	13.2759i	0.675864	+	0.567117i
$549$	5.59329	+	4.69332i	0.238716	+	0.200306i
$550$	−13.6421	−	23.6288i	−0.581700	−	1.00753i
$551$	1.13526	+	9.04084i	0.0483637	+	0.385153i
$552$	4.06098			0.172847
$553$	−4.48992	−	0.408944i	−0.190931	−	0.0173901i
$554$	5.42735	−	30.7800i	0.230586	−	1.30772i
$555$	−4.75502	−	26.9671i	−0.201839	−	1.14469i
$556$	5.31248	−	30.1286i	0.225299	−	1.27774i
$557$	32.0217	−	26.8694i	1.35680	−	1.13849i	0.379850	−	0.925048i	$-0.375976\pi$
$557$	32.0217	−	26.8694i	1.35680	−	1.13849i	0.976955	−	0.213446i	$-0.0684687\pi$
$558$	−12.6120			−0.533906
$559$	−3.44835	+	5.97272i	−0.145850	+	0.252619i
$560$	−23.7202	+	6.26530i	−1.00236	+	0.264757i
$561$	36.7374	+	13.3713i	1.55105	+	0.564537i
$562$	−17.3665	−	30.0797i	−0.732562	−	1.26883i
$563$	−13.4393	+	23.2775i	−0.566398	+	0.981029i	0.430521	+	0.902581i	$0.358330\pi$
$563$	−13.4393	+	23.2775i	−0.566398	+	0.981029i	−0.996918	+	0.0784487i	$0.975003\pi$
$564$	−1.52525	+	1.27984i	−0.0642248	+	0.0538910i
$565$	−7.43866	+	2.70745i	−0.312947	+	0.113903i
$566$	−20.8917	+	17.5302i	−0.878143	+	0.736849i
$567$	3.29810	+	7.13911i	0.138507	+	0.299815i
$568$	0.751572	−	0.273550i	0.0315353	−	0.0114779i
$569$	1.08934	−	1.88679i	0.0456675	−	0.0790984i	−0.842288	−	0.539028i	$-0.818792\pi$
$569$	1.08934	−	1.88679i	0.0456675	−	0.0790984i	0.887956	+	0.459929i	$0.152125\pi$
$570$	−17.0267	+	26.3770i	−0.713171	+	1.10481i
$571$	−9.34820	−	16.1916i	−0.391210	−	0.677596i	0.601399	−	0.798949i	$-0.294610\pi$
$571$	−9.34820	−	16.1916i	−0.391210	−	0.677596i	−0.992609	+	0.121353i	$0.961277\pi$
$572$	2.58658	−	14.6692i	0.108150	−	0.613352i
$573$	3.59983	−	20.4157i	0.150385	−	0.852877i
$574$	−16.2257	+	4.28574i	−0.677246	+	0.178883i
$575$	10.9150	+	9.15880i	0.455188	+	0.381948i
$576$	−12.9273	−	4.70515i	−0.538637	−	0.196048i
$577$	−10.8226	+	18.7453i	−0.450551	+	0.780377i	−0.998420	−	0.0561869i	$-0.982106\pi$
$577$	−10.8226	+	18.7453i	−0.450551	+	0.780377i	0.547869	+	0.836564i	$0.315439\pi$
$578$	−33.9120			−1.41055
$579$	−9.03678	+	7.58276i	−0.375556	+	0.315129i
$580$	−12.1974	−	4.43949i	−0.506470	−	0.184340i
$581$	11.7882	+	5.54814i	0.489056	+	0.230176i
$582$	21.4598	+	37.1695i	0.889539	+	1.54073i
$583$	−35.5891	−	12.9534i	−1.47395	−	0.536473i
$584$	−0.574869	+	3.26025i	−0.0237883	+	0.134910i
$585$	4.37774	+	1.59337i	0.180997	+	0.0658776i
$586$	38.9867	+	32.7137i	1.61053	+	1.35139i
$587$	2.80574	−	1.02121i	0.115805	−	0.0421496i	−0.283468	−	0.958982i	$-0.591485\pi$
$587$	2.80574	−	1.02121i	0.115805	−	0.0421496i	0.399273	+	0.916832i	$0.369263\pi$
$588$	−7.05668	+	18.9664i	−0.291013	+	0.782162i
$589$	19.2967	+	0.958223i	0.795108	+	0.0394829i
$590$	1.61016	−	2.78889i	0.0662894	−	0.114817i
$591$	−5.98404	−	5.02120i	−0.246150	−	0.206545i
$592$	−25.0158	+	9.10502i	−1.02814	+	0.374214i
$593$	−0.141665	−	0.803421i	−0.00581747	−	0.0329925i	0.981761	−	0.190120i	$-0.0608877\pi$
$593$	−0.141665	−	0.803421i	−0.00581747	−	0.0329925i	−0.987578	+	0.157128i	$0.949777\pi$
$594$	46.8582	+	39.3187i	1.92262	+	1.61327i
$595$	−40.4593	+	10.6867i	−1.65867	+	0.438111i
$596$	5.77871	+	10.0090i	0.236705	+	0.409986i
$597$	4.63875	+	8.03455i	0.189851	+	0.328832i
$598$	2.54127	+	14.4123i	0.103920	+	0.589362i
$599$	−2.47012	−	14.0088i	−0.100926	−	0.572382i	−0.992769	−	0.120037i	$-0.961699\pi$
$599$	−2.47012	−	14.0088i	−0.100926	−	0.572382i	0.891843	−	0.452345i	$-0.149412\pi$
$600$	−0.881560	−	1.52691i	−0.0359895	−	0.0623357i
$601$	−15.7713	−	27.3167i	−0.643324	−	1.11427i	−0.984686	−	0.174338i	$-0.944222\pi$
$601$	−15.7713	−	27.3167i	−0.643324	−	1.11427i	0.341362	−	0.939932i	$-0.389112\pi$
$602$	7.99756	−	29.4275i	0.325956	−	1.19937i
$603$	−12.0793	−	10.1357i	−0.491906	−	0.412758i
$604$	5.56464	+	31.5587i	0.226422	+	1.28410i
$605$	44.1909	−	16.0842i	1.79662	−	0.653915i
$606$	9.88897	+	8.29783i	0.401712	+	0.337076i
$607$	−4.38710	+	7.59869i	−0.178067	+	0.308421i	−0.941218	−	0.337799i	$-0.890318\pi$
$607$	−4.38710	+	7.59869i	−0.178067	+	0.308421i	0.763151	+	0.646220i	$0.223651\pi$
$608$	32.5986	+	13.7319i	1.32205	+	0.556900i
$609$	5.78588	−	4.02067i	0.234456	−	0.162926i
$610$	28.1693	−	10.2528i	1.14054	−	0.415122i
$611$	−0.652296	−	0.547341i	−0.0263891	−	0.0221431i
$612$	−16.9744	−	6.17819i	−0.686151	−	0.249738i
$613$	−6.25920	+	35.4977i	−0.252807	+	1.43374i	0.548834	+	0.835931i	$0.315072\pi$
$613$	−6.25920	+	35.4977i	−0.252807	+	1.43374i	−0.801641	+	0.597806i	$0.796039\pi$
$614$	−0.286023	−	0.104104i	−0.0115429	−	0.00420128i
$615$	5.35053	+	9.26738i	0.215754	+	0.373697i
$616$	0.653473	+	7.78879i	0.0263292	+	0.313819i
$617$	−20.2799	−	7.38128i	−0.816438	−	0.297159i	−0.100158	−	0.994972i	$-0.531935\pi$
$617$	−20.2799	−	7.38128i	−0.816438	−	0.297159i	−0.716281	+	0.697812i	$0.754157\pi$
$618$	−24.1800	+	20.2895i	−0.972664	+	0.816162i
$619$	−27.4051			−1.10151			−0.550753	−	0.834668i	$-0.685659\pi$
$619$	−27.4051			−1.10151			−0.550753	+	0.834668i	$0.685659\pi$
$620$	−13.7615	+	23.8355i	−0.552673	+	0.957258i
$621$	−30.0178	−	10.9256i	−1.20457	−	0.438429i
$622$	50.0281	+	41.9785i	2.00594	+	1.68319i
$623$	9.81159	−	2.59157i	0.393093	−	0.103829i
$624$	−0.926860	+	5.25649i	−0.0371041	+	0.210428i
$625$	−5.42648	+	30.7751i	−0.217059	+	1.23100i
$626$	−1.11729	−	1.93521i	−0.0446560	−	0.0773465i
$627$	−21.6162	−	20.0469i	−0.863270	−	0.800596i
$628$	11.3670	−	19.6882i	0.453593	−	0.785646i
$629$	−42.6693	+	15.5303i	−1.70134	+	0.619236i
$630$	−20.5142	−	1.86845i	−0.817307	−	0.0744407i
$631$	5.20734	−	4.36948i	0.207301	−	0.173946i	−0.533226	−	0.845973i	$-0.679020\pi$
$631$	5.20734	−	4.36948i	0.207301	−	0.173946i	0.740527	+	0.672027i	$0.234576\pi$
$632$	−0.891032	+	0.324309i	−0.0354433	+	0.0129003i
$633$	−6.35602	+	5.33333i	−0.252629	+	0.211981i
$634$	7.94047	−	13.7533i	0.315357	−	0.546214i
$635$	22.8783	+	39.6263i	0.907896	+	1.57252i
$636$	−19.3792	−	7.05346i	−0.768436	−	0.279688i
$637$	−8.51207	−	1.56354i	−0.337260	−	0.0619495i
$638$	11.4656	−	19.8591i	0.453929	−	0.786228i
$639$	−1.97935			−0.0783020
$640$	−9.24639	+	7.75864i	−0.365496	+	0.306687i
$641$	0.170096	−	0.964662i	0.00671839	−	0.0381019i	−0.981264	−	0.192667i	$-0.938286\pi$
$641$	0.170096	−	0.964662i	0.00671839	−	0.0381019i	0.987983	+	0.154565i	$0.0493975\pi$
$642$	−7.31551	−	41.4883i	−0.288720	−	1.63741i
$643$	−1.99718	+	11.3265i	−0.0787609	+	0.446675i	0.919768	+	0.392462i	$0.128376\pi$
$643$	−1.99718	+	11.3265i	−0.0787609	+	0.446675i	−0.998529	+	0.0542139i	$0.982735\pi$
$644$	−14.4250	−	31.2245i	−0.568425	−	1.23042i
$645$	−19.4449			−0.765643
$646$	47.9777	+	20.2102i	1.88766	+	0.795159i
$647$	11.3136	+	19.5958i	0.444785	+	0.770389i	0.998037	−	0.0626241i	$-0.0199469\pi$
$647$	11.3136	+	19.5958i	0.444785	+	0.770389i	−0.553253	+	0.833014i	$0.686614\pi$
$648$	1.26701	+	1.06314i	0.0497727	+	0.0417643i
$649$	2.31652	+	1.94379i	0.0909315	+	0.0763006i
$650$	4.86728	−	4.08413i	0.190910	−	0.160193i
$651$	−6.26545	−	13.5623i	−0.245562	−	0.531547i
$652$	4.25893	+	24.1536i	0.166793	+	0.945928i
$653$	0.872918			0.0341599			0.0170800	−	0.999854i	$-0.494563\pi$
$653$	0.872918			0.0341599			0.0170800	+	0.999854i	$0.494563\pi$
$654$	33.7320			1.31902
$655$	−5.14646	−	29.1870i	−0.201089	−	1.14043i
$656$	7.96943	−	6.68715i	0.311154	−	0.261089i
$657$	4.09645	−	7.09526i	0.159818	−	0.276812i
$658$	3.40664	+	1.60335i	0.132805	+	0.0625049i
$659$	5.88991	+	33.4033i	0.229438	+	1.30121i	0.854016	+	0.520246i	$0.174160\pi$
$659$	5.88991	+	33.4033i	0.229438	+	1.30121i	−0.624578	+	0.780962i	$0.714729\pi$
$660$	39.4645	−	14.3639i	1.53615	−	0.559114i
$661$	26.8903	+	9.78727i	1.04591	+	0.380681i	0.807118	−	0.590389i	$-0.201026\pi$
$661$	26.8903	+	9.78727i	1.04591	+	0.380681i	0.238794	+	0.971070i	$0.423248\pi$
$662$	29.8204	−	10.8537i	1.15900	−	0.421842i
$663$	−1.58094	+	8.96594i	−0.0613985	+	0.348208i
$664$	2.74013			0.106337
$665$	31.2455	+	4.41741i	1.21165	+	0.171300i
$666$	−22.3520			−0.866121
$667$	−2.07950	+	11.7934i	−0.0805187	+	0.456644i
$668$	47.2300	−	17.1903i	1.82738	−	0.665113i
$669$	−0.0741981	−	0.0270059i	−0.00286866	−	0.00104411i
$670$	−60.8344	+	22.1419i	−2.35024	+	0.855417i
$671$	4.88812	+	27.7219i	0.188704	+	1.07019i
$672$	−2.28677	−	27.2562i	−0.0882141	−	1.05143i
$673$	−4.54177	+	7.86658i	−0.175073	+	0.303235i	−0.940186	−	0.340660i	$-0.889349\pi$
$673$	−4.54177	+	7.86658i	−0.175073	+	0.303235i	0.765114	+	0.643895i	$0.222683\pi$
$674$	−2.70052	+	2.26600i	−0.104020	+	0.0872832i
$675$	2.40832	+	13.6583i	0.0926962	+	0.525706i
$676$	−26.0322			−1.00124
$677$	15.5261			0.596716			0.298358	−	0.954454i	$-0.403561\pi$
$677$	15.5261			0.596716			0.298358	+	0.954454i	$0.403561\pi$
$678$	−1.32235	−	7.49940i	−0.0507844	−	0.288013i
$679$	24.8698	−	35.2498i	0.954416	−	1.35276i
$680$	−6.74204	+	5.65725i	−0.258546	+	0.216946i
$681$	9.97876	+	8.37318i	0.382387	+	0.320861i
$682$	−37.2473	−	31.2542i	−1.42627	−	1.19679i
$683$	−13.5063	−	23.3936i	−0.516804	−	0.895131i	−0.999810	−	0.0195140i	$-0.993788\pi$
$683$	−13.5063	−	23.3936i	−0.516804	−	0.895131i	0.483005	−	0.875617i	$-0.339545\pi$
$684$	9.98774	+	9.26262i	0.381891	+	0.354165i
$685$	−24.9036			−0.951518
$686$	38.1550	−	2.92749i	1.45676	−	0.111772i
$687$	−2.58141	+	14.6399i	−0.0984869	+	0.558547i
$688$	3.28264	+	18.6168i	0.125149	+	0.709758i
$689$	1.53152	−	8.68569i	0.0583463	−	0.330898i
$690$	−31.6082	+	26.5224i	−1.20330	+	1.00969i
$691$	10.8781			0.413823			0.206912	−	0.978360i	$-0.433659\pi$
$691$	10.8781			0.413823			0.206912	+	0.978360i	$0.433659\pi$
$692$	−6.79193	+	11.7640i	−0.258191	+	0.447199i
$693$	5.07297	−	18.6663i	0.192706	−	0.709073i
$694$	66.0638	+	24.0453i	2.50775	+	0.912746i
$695$	18.4444	+	31.9466i	0.699635	+	1.21180i
$696$	0.740918	−	1.28331i	0.0280844	−	0.0486436i
$697$	13.5934	−	11.4062i	0.514886	−	0.432041i
$698$	−16.5779	+	6.03387i	−0.627484	+	0.228385i
$699$	16.9448	−	14.2184i	0.640912	−	0.537789i
$700$	−8.60887	+	12.2020i	−0.325385	+	0.461191i
$701$	12.9938	−	4.72936i	0.490770	−	0.178626i	−0.0847681	−	0.996401i	$-0.527015\pi$
$701$	12.9938	−	4.72936i	0.490770	−	0.178626i	0.575538	+	0.817775i	$0.304793\pi$
$702$	−7.12236	+	12.3363i	−0.268816	+	0.465603i
$703$	34.1993	+	1.69824i	1.28985	+	0.0640505i
$704$	−26.5186	−	45.9315i	−0.999456	−	1.73111i
$705$	0.416894	−	2.36432i	0.0157011	−	0.0890455i
$706$	11.6618	−	66.1371i	0.438896	−	2.48910i
$707$	3.40291	−	12.5212i	0.127980	−	0.470908i
$708$	1.26141	+	1.05845i	0.0474067	+	0.0397789i
$709$	−10.0614	−	3.66205i	−0.377864	−	0.137531i	0.146104	−	0.989269i	$-0.453327\pi$
$709$	−10.0614	−	3.66205i	−0.377864	−	0.137531i	−0.523968	+	0.851738i	$0.675549\pi$
$710$	−4.06321	+	7.03769i	−0.152490	+	0.264120i
$711$	2.34664			0.0880058
$712$	1.63498	−	1.37191i	0.0612734	−	0.0514145i
$713$	23.8609	+	8.68468i	0.893600	+	0.325244i
$714$	−3.36561	−	40.1149i	−0.125955	−	1.50126i
$715$	8.98035	+	15.5544i	0.335846	+	0.581702i
$716$	−20.6709	−	7.52359i	−0.772507	−	0.281170i
$717$	−3.22654	+	18.2986i	−0.120497	+	0.683374i
$718$	−11.3283	−	4.12315i	−0.422767	−	0.153875i
$719$	−10.3254	−	8.66402i	−0.385072	−	0.323114i	0.429618	−	0.903011i	$-0.358648\pi$
$719$	−10.3254	−	8.66402i	−0.385072	−	0.323114i	−0.814690	+	0.579897i	$0.803093\pi$
$720$	11.9995	−	4.36745i	0.447193	−	0.162765i
$721$	28.7063	+	13.5107i	1.06908	+	0.503164i
$722$	−27.4257	−	28.0901i	−1.02068	−	1.04540i
$723$	3.00211	−	5.19981i	0.111650	−	0.193383i
$724$	19.0342	+	15.9716i	0.707402	+	0.593580i
$725$	4.88569	−	1.77825i	0.181450	−	0.0660424i
$726$	7.85568	+	44.5518i	0.291552	+	1.65347i
$727$	31.2956	+	26.2601i	1.16069	+	0.973935i	0.999915	−	0.0130560i	$-0.00415599\pi$
$727$	31.2956	+	26.2601i	1.16069	+	0.973935i	0.160776	+	0.986991i	$0.448600\pi$
$728$	−1.75983	+	0.464830i	−0.0652236	+	0.0172278i
$729$	−12.7020	−	22.0006i	−0.470446	−	0.814836i
$730$	−16.8184	−	29.1303i	−0.622476	−	1.07816i
$731$	5.59917	+	31.7545i	0.207093	+	1.17448i
$732$	2.66172	+	15.0953i	0.0983798	+	0.557940i
$733$	15.5602	+	26.9511i	0.574730	+	0.995461i	0.996071	+	0.0885588i	$0.0282261\pi$
$733$	15.5602	+	26.9511i	0.574730	+	0.995461i	−0.421341	+	0.906902i	$0.638441\pi$
$734$	7.54982	+	13.0767i	0.278669	+	0.482669i
$735$	−8.18196	−	22.9882i	−0.301796	−	0.847933i
$736$	35.6128	+	29.8827i	1.31271	+	1.10149i
$737$	−10.5564	−	59.8683i	−0.388850	−	2.20528i
$738$	8.20816	−	2.98753i	0.302147	−	0.109972i
$739$	−24.0653	−	20.1931i	−0.885255	−	0.742817i	0.0819979	−	0.996633i	$-0.473870\pi$
$739$	−24.0653	−	20.1931i	−0.885255	−	0.742817i	−0.967253	+	0.253816i	$0.918314\pi$
$740$	−24.3892	+	42.2434i	−0.896565	+	1.55290i
$741$	3.72336	−	5.76806i	0.136781	−	0.211895i
$742$	3.26041	+	38.8611i	0.119693	+	1.42663i
$743$	9.03416	−	3.28817i	0.331431	−	0.120631i	−0.170944	−	0.985281i	$-0.554682\pi$
$743$	9.03416	−	3.28817i	0.331431	−	0.120631i	0.502375	+	0.864650i	$0.332460\pi$
$744$	−2.40695	−	2.01967i	−0.0882430	−	0.0740446i
$745$	−13.0953	−	4.76628i	−0.479773	−	0.174623i
$746$	−12.4417	+	70.5606i	−0.455524	+	2.58341i
$747$	−6.37228	−	2.31932i	−0.233149	−	0.0848595i
$748$	−34.8207	−	60.3113i	−1.27317	−	2.20520i
$749$	−34.7730	+	24.1641i	−1.27058	+	0.882936i
$750$	−17.0071	−	6.19006i	−0.621010	−	0.226029i
$751$	5.92938	−	4.97534i	0.216366	−	0.181553i	−0.528162	−	0.849143i	$-0.677119\pi$
$751$	5.92938	−	4.97534i	0.216366	−	0.181553i	0.744528	+	0.667591i	$0.232674\pi$
$752$	−2.33401			−0.0851125
$753$	8.53615	−	14.7851i	0.311075	−	0.538797i
$754$	5.01806	+	1.82643i	0.182747	+	0.0665145i
$755$	−29.5997	−	24.8371i	−1.07724	−	0.903916i
$756$	8.78022	−	32.3073i	0.319334	−	1.17501i
$757$	4.53247	−	25.7049i	0.164736	−	0.934262i	−0.784601	−	0.620001i	$-0.787132\pi$
$757$	4.53247	−	25.7049i	0.164736	−	0.934262i	0.949337	−	0.314261i	$-0.101757\pi$
$758$	−8.94031	+	50.7030i	−0.324727	+	1.84162i
$759$	−19.3731	−	33.5551i	−0.703198	−	1.21797i
$760$	6.34148	−	1.95782i	0.230029	−	0.0710177i
$761$	19.4194	−	33.6355i	0.703954	−	1.21928i	−0.263113	−	0.964765i	$-0.584749\pi$
$761$	19.4194	−	33.6355i	0.703954	−	1.21928i	0.967068	−	0.254520i	$-0.0819173\pi$
$762$	−41.3623	+	15.0547i	−1.49840	+	0.545372i
$763$	−14.2193	−	30.7793i	−0.514774	−	1.11428i
$764$	−28.2886	+	23.7370i	−1.02345	+	0.858773i
$765$	20.4674	−	7.44951i	0.739999	−	0.269338i
$766$	−24.0273	+	20.1613i	−0.868140	+	0.728456i
$767$	−0.352107	+	0.609867i	−0.0127138	+	0.0220210i
$768$	6.92074	+	11.9871i	0.249731	+	0.432546i
$769$	−37.1946	−	13.5377i	−1.34127	−	0.488182i	−0.431058	−	0.902324i	$-0.641859\pi$
$769$	−37.1946	−	13.5377i	−1.34127	−	0.488182i	−0.910212	+	0.414142i	$0.864082\pi$
$770$	−55.9551	−	56.3553i	−2.01648	−	2.03091i
$771$	−6.65105	+	11.5200i	−0.239532	+	0.414881i
$772$	21.0138			0.756304
$773$	11.7073	−	9.82360i	0.421083	−	0.353330i	−0.407492	−	0.913209i	$-0.633597\pi$
$773$	11.7073	−	9.82360i	0.421083	−	0.353330i	0.828575	+	0.559878i	$0.189152\pi$
$774$	−2.75619	+	15.6312i	−0.0990693	+	0.561850i
$775$	−1.91436	−	10.8569i	−0.0687657	−	0.389990i
$776$	1.57552	−	8.93522i	0.0565579	−	0.320756i
$777$	−11.1042	−	24.0362i	−0.398359	−	0.862293i
$778$	17.1790			0.615896
$779$	−12.7858	+	3.94739i	−0.458097	+	0.141430i
$780$	4.89004	+	8.46980i	0.175092	+	0.303268i
$781$	−5.84569	−	4.90512i	−0.209175	−	0.175519i
$782$	52.4140	+	43.9806i	1.87432	+	1.57274i
$783$	−8.92927	+	7.49254i	−0.319106	+	0.267762i
$784$	−20.6279	+	11.7143i	−0.736711	+	0.418368i
$785$	4.76007	+	26.9957i	0.169894	+	0.963517i
$786$	28.5105			1.01694
$787$	1.95329			0.0696273			0.0348137	−	0.999394i	$-0.488916\pi$
$787$	1.95329			0.0696273			0.0348137	+	0.999394i	$0.488916\pi$
$788$	2.41633	+	13.7037i	0.0860781	+	0.488173i
$789$	−20.9898	+	17.6125i	−0.747257	+	0.627023i
$790$	4.81717	−	8.34359i	0.171387	−	0.296852i
$791$	−6.28553	+	4.36788i	−0.223488	+	0.155304i
$792$	−0.706442	−	4.00643i	−0.0251023	−	0.142362i
$793$	−6.15998	+	2.24205i	−0.218747	+	0.0796176i
$794$	28.3094	+	10.3038i	1.00466	+	0.365667i
$795$	23.3670	−	8.50489i	0.828742	−	0.301638i
$796$	2.86977	−	16.2753i	0.101716	−	0.576861i
$797$	36.8826			1.30645			0.653225	−	0.757164i	$-0.273415\pi$
$797$	36.8826			1.30645			0.653225	+	0.757164i	$0.273415\pi$
$798$	−9.40435	+	28.8631i	−0.332910	+	1.02174i
$799$	−3.98109			−0.140841
$800$	3.50488	−	19.8772i	0.123916	−	0.702764i
$801$	−4.96344	+	1.80654i	−0.175374	+	0.0638311i
$802$	−33.0519	−	12.0299i	−1.16710	−	0.424791i
$803$	29.6812	−	10.8031i	1.04743	−	0.381233i
$804$	−5.74825	−	32.5999i	−0.202725	−	1.14971i
$805$	37.5249	+	17.6612i	1.32258	+	0.622476i
$806$	5.66152	−	9.80604i	0.199418	−	0.345403i
$807$	21.6755	−	18.1879i	0.763013	−	0.640244i
$808$	−0.473876	−	2.68748i	−0.0166709	−	0.0945453i
$809$	29.3154			1.03067			0.515337	−	0.856988i	$-0.327667\pi$
$809$	29.3154			1.03067			0.515337	+	0.856988i	$0.327667\pi$
$810$	−16.8050			−0.590469
$811$	1.27101	+	7.20827i	0.0446313	+	0.253117i	0.998957	−	0.0456500i	$-0.0145359\pi$
$811$	1.27101	+	7.20827i	0.0446313	+	0.253117i	−0.954326	+	0.298767i	$0.903425\pi$
$812$	−12.4991	−	1.13842i	−0.438631	−	0.0399507i
$813$	−22.5866	+	18.9524i	−0.792146	+	0.664690i
$814$	−66.0128	−	55.3913i	−2.31375	−	1.94147i
$815$	−22.6543	−	19.0092i	−0.793547	−	0.665865i
$816$	12.4775	+	21.6116i	0.436798	+	0.756557i
$817$	5.40469	−	23.7068i	0.189086	−	0.829396i
$818$	−30.8910			−1.08008
$819$	4.48600	+	0.408587i	0.156754	+	0.0142772i
$820$	3.31011	−	18.7726i	0.115594	−	0.655566i
$821$	−6.57219	−	37.2727i	−0.229371	−	1.30083i	−0.854151	−	0.520026i	$-0.825922\pi$
$821$	−6.57219	−	37.2727i	−0.229371	−	1.30083i	0.624780	−	0.780801i	$-0.285189\pi$
$822$	4.16005	−	23.5928i	0.145099	−	0.822895i
$823$	35.7245	−	29.9764i	1.24528	−	1.04491i	0.248185	−	0.968713i	$-0.420166\pi$
$823$	35.7245	−	29.9764i	1.24528	−	1.04491i	0.997093	−	0.0761994i	$-0.0242785\pi$
$824$	6.67268			0.232454
$825$	−8.41103	+	14.5683i	−0.292834	+	0.507204i
$826$	0.816621	−	3.00480i	0.0284139	−	0.104550i
$827$	−22.9287	−	8.34538i	−0.797311	−	0.290197i	−0.0889391	−	0.996037i	$-0.528348\pi$
$827$	−22.9287	−	8.34538i	−0.797311	−	0.290197i	−0.708372	+	0.705840i	$0.750570\pi$
$828$	8.95128	+	15.5041i	0.311078	+	0.538804i
$829$	3.53360	−	6.12038i	0.122727	−	0.212569i	−0.798115	−	0.602505i	$-0.794169\pi$
$829$	3.53360	−	6.12038i	0.122727	−	0.212569i	0.920842	+	0.389935i	$0.127503\pi$
$830$	−21.3275	+	17.8959i	−0.740287	+	0.621175i
$831$	−18.1081	+	6.59080i	−0.628162	+	0.228632i
$832$	9.46141	−	7.93907i	0.328015	−	0.275238i
$833$	−35.1848	+	19.9810i	−1.21908	+	0.692300i
$834$	−33.3462	+	12.1370i	−1.15468	+	0.420270i
$835$	−30.3018	+	52.4843i	−1.04864	+	1.81630i
$836$	6.54304	+	52.1067i	0.226296	+	1.80215i
$837$	12.3579	+	21.4045i	0.427151	+	0.739848i
$838$	−10.1759	+	57.7105i	−0.351521	+	1.99358i
$839$	−3.50242	+	19.8632i	−0.120917	+	0.685755i	0.862732	+	0.505661i	$0.168751\pi$
$839$	−3.50242	+	19.8632i	−0.120917	+	0.685755i	−0.983649	+	0.180094i	$0.942360\pi$
$840$	−3.61586	−	3.64172i	−0.124759	−	0.125651i
$841$	−18.8679	−	15.8320i	−0.650616	−	0.545931i
$842$	−28.1935	−	10.2616i	−0.971613	−	0.353638i
$843$	−10.7073	+	18.5456i	−0.368780	+	0.638746i
$844$	14.7801			0.508751
$845$	24.0454	−	20.1765i	0.827186	−	0.694091i
$846$	−1.84151	−	0.670255i	−0.0633125	−	0.0230439i
$847$	37.3406	−	25.9483i	1.28304	−	0.891595i
$848$	−12.0874	−	20.9361i	−0.415084	−	0.718947i
$849$	15.8006	+	5.75095i	0.542276	+	0.197372i
$850$	5.15839	−	29.2547i	0.176931	−	1.00343i
$851$	42.2884	+	15.3917i	1.44963	+	0.527621i
$852$	−3.18314	−	2.67097i	−0.109053	−	0.0915060i
$853$	0.891644	−	0.324532i	0.0305293	−	0.0111118i	−0.326710	−	0.945125i	$-0.605940\pi$
$853$	0.891644	−	0.324532i	0.0305293	−	0.0111118i	0.357240	+	0.934013i	$0.383718\pi$
$854$	23.8025	−	16.5406i	0.814505	−	0.566008i
$855$	−16.4045	−	0.814604i	−0.561023	−	0.0278589i
$856$	−4.45289	+	7.71263i	−0.152197	+	0.263612i
$857$	−19.0783	−	16.0086i	−0.651701	−	0.546842i	0.255885	−	0.966707i	$-0.417633\pi$
$857$	−19.0783	−	16.0086i	−0.651701	−	0.546842i	−0.907587	+	0.419865i	$0.862078\pi$
$858$	−16.2359	+	5.90937i	−0.554283	+	0.201742i
$859$	0.0753024	+	0.427061i	0.00256928	+	0.0145711i	0.986065	−	0.166358i	$-0.0532007\pi$
$859$	0.0753024	+	0.427061i	0.00256928	+	0.0145711i	−0.983496	+	0.180929i	$0.942090\pi$
$860$	26.5342	+	22.2648i	0.904808	+	0.759224i
$861$	7.29034	+	7.34248i	0.248454	+	0.250231i
$862$	−16.6602	−	28.8564i	−0.567450	−	0.982851i
$863$	−20.0385	−	34.7076i	−0.682117	−	1.18146i	−0.974333	−	0.225110i	$-0.927726\pi$
$863$	−20.0385	−	34.7076i	−0.682117	−	1.18146i	0.292216	−	0.956352i	$-0.405607\pi$
$864$	7.85769	+	44.5632i	0.267324	+	1.51607i
$865$	−2.84420	−	16.1303i	−0.0967058	−	0.548446i
$866$	−34.0288	−	58.9395i	−1.15634	−	2.00285i
$867$	10.4542	+	18.1072i	0.355044	+	0.614954i
$868$	−6.97934	+	25.6809i	−0.236894	+	0.871666i
$869$	6.93040	+	5.81530i	0.235098	+	0.197271i
$870$	2.61448	+	14.8274i	0.0886391	+	0.502697i
$871$	13.3031	−	4.84194i	0.450759	−	0.164063i
$872$	−5.46252	−	4.58360i	−0.184984	−	0.155220i
$873$	−11.2270	+	19.4457i	−0.379975	+	0.658137i
$874$	−23.5501	−	45.9079i	−0.796594	−	1.55286i
$875$	1.52090	+	18.1277i	0.0514158	+	0.612829i
$876$	16.1622	−	5.88257i	0.546072	−	0.198754i
$877$	9.56224	+	8.02367i	0.322894	+	0.270940i	0.789797	−	0.613368i	$-0.210186\pi$
$877$	9.56224	+	8.02367i	0.322894	+	0.270940i	−0.466903	+	0.884309i	$0.654630\pi$
$878$	61.0481	+	22.2197i	2.06027	+	0.749879i
$879$	5.44881	−	30.9017i	0.183784	−	1.04229i
$880$	46.2616	+	16.8378i	1.55948	+	0.567603i
$881$	10.0236	+	17.3615i	0.337705	+	0.584923i	0.984001	−	0.178165i	$-0.0570159\pi$
$881$	10.0236	+	17.3615i	0.337705	+	0.584923i	−0.646295	+	0.763087i	$0.723683\pi$
$882$	−19.6392	+	3.31879i	−0.661287	+	0.111749i
$883$	24.3449	+	8.86083i	0.819272	+	0.298191i	0.717448	−	0.696612i	$-0.245310\pi$
$883$	24.3449	+	8.86083i	0.819272	+	0.298191i	0.101824	+	0.994802i	$0.467532\pi$
$884$	12.4235	−	10.4246i	0.417847	−	0.350616i
$885$	−1.98550			−0.0667417
$886$	10.9358	−	18.9414i	0.367395	−	0.636348i
$887$	18.7060	+	6.80842i	0.628085	+	0.228604i	0.636398	−	0.771361i	$-0.280424\pi$
$887$	18.7060	+	6.80842i	0.628085	+	0.228604i	−0.00831255	+	0.999965i	$0.502646\pi$
$888$	−4.26579	−	3.57943i	−0.143151	−	0.120118i
$889$	31.1727	+	31.3956i	1.04550	+	1.05298i
$890$	−3.76568	+	21.3562i	−0.126226	+	0.715862i
$891$	2.74026	−	15.5408i	0.0918023	−	0.520637i
$892$	0.0703271	+	0.121810i	0.00235472	+	0.00407850i
$893$	2.76665	+	1.16543i	0.0925825	+	0.0389995i
$894$	6.70292	−	11.6098i	0.224179	−	0.388290i
$895$	24.9245	−	9.07176i	0.833133	−	0.303236i
$896$	−6.72822	+	9.53639i	−0.224774	+	0.318589i
$897$	6.91201	−	5.79986i	0.230785	−	0.193652i
$898$	−12.6014	+	4.58655i	−0.420516	+	0.153055i
$899$	7.09782	−	5.95577i	0.236725	−	0.198636i
$900$	3.88630	−	6.73126i	0.129543	−	0.224375i
$901$	−20.6174	−	35.7104i	−0.686866	−	1.18969i
$902$	31.6450	+	11.5178i	1.05366	+	0.383502i
$903$	−18.1782	+	4.80147i	−0.604933	+	0.159783i
$904$	−0.804901	+	1.39413i	−0.0267706	+	0.0463681i
$905$	−29.9604			−0.995919
$906$	28.4744	−	23.8928i	0.945998	−	0.793786i
$907$	−5.02280	+	28.4857i	−0.166779	+	0.945853i	0.780432	+	0.625241i	$0.214999\pi$
$907$	−5.02280	+	28.4857i	−0.166779	+	0.945853i	−0.947211	+	0.320611i	$0.896112\pi$
$908$	−4.02938	−	22.8518i	−0.133720	−	0.758362i
$909$	−1.17274	+	6.65096i	−0.0388975	+	0.220598i
$910$	10.6616	−	15.1115i	0.353429	−	0.500940i
$911$	−41.9048			−1.38837			−0.694183	−	0.719798i	$-0.744234\pi$
$911$	−41.9048			−1.38837			−0.694183	+	0.719798i	$0.744234\pi$
$912$	−2.34459	−	18.6716i	−0.0776373	−	0.618278i
$913$	−13.0719	−	22.6411i	−0.432616	−	0.749312i
$914$	−66.1383	−	55.4967i	−2.18766	−	1.83567i
$915$	−14.1583	−	11.8803i	−0.468060	−	0.392749i
$916$	20.2855	−	17.0216i	0.670252	−	0.562409i
$917$	−12.0183	−	26.0149i	−0.396878	−	0.859087i
$918$	11.5647	+	65.5869i	0.381693	+	2.16469i
$919$	−23.4720			−0.774269			−0.387134	−	0.922023i	$-0.626535\pi$
$919$	−23.4720			−0.774269			−0.387134	+	0.922023i	$0.626535\pi$
$920$	8.72255			0.287574
$921$	0.0325877	+	0.184814i	0.00107380	+	0.00608983i
$922$	45.9578	−	38.5631i	1.51354	−	1.27001i
$923$	0.888534	−	1.53899i	0.0292465	−	0.0506563i
$924$	33.3468	−	23.1730i	1.09703	−	0.762337i
$925$	−3.39278	−	19.2414i	−0.111554	−	0.632655i
$926$	22.1894	−	8.07627i	0.729188	−	0.265403i
$927$	−15.5176	−	5.64795i	−0.509665	−	0.185503i
$928$	15.9407	−	5.80193i	0.523278	−	0.190458i
$929$	−7.73855	+	43.8875i	−0.253894	+	1.43990i	0.545003	+	0.838434i	$0.316528\pi$
$929$	−7.73855	+	43.8875i	−0.253894	+	1.43990i	−0.798897	+	0.601468i	$0.794583\pi$
$930$	31.9247			1.04685
$931$	30.3009	−	3.58573i	0.993071	−	0.117517i
$932$	−39.4030			−1.29069
$933$	6.99196	−	39.6533i	0.228906	−	1.29819i
$934$	45.6238	−	16.6057i	1.49286	−	0.543355i
$935$	78.9079	+	28.7201i	2.58057	+	0.939249i
$936$	0.890254	−	0.324026i	0.0290989	−	0.0105911i
$937$	−5.32322	−	30.1895i	−0.173902	−	0.986247i	−0.939404	−	0.342813i	$-0.888620\pi$
$937$	−5.32322	−	30.1895i	−0.173902	−	0.986247i	0.765502	−	0.643434i	$-0.222491\pi$
$938$	−51.4040	+	35.7211i	−1.67840	+	1.16634i
$939$	−0.688868	+	1.19315i	−0.0224804	+	0.0389371i
$940$	−3.27608	+	2.74896i	−0.106854	+	0.0896611i
$941$	−4.64402	−	26.3375i	−0.151391	−	0.858580i	−0.962012	−	0.273008i	$-0.911981\pi$
$941$	−4.64402	−	26.3375i	−0.151391	−	0.858580i	0.810621	−	0.585571i	$-0.199130\pi$
$942$	−26.3699			−0.859179
$943$	−17.5865			−0.572695
$944$	0.335186	+	1.90094i	0.0109094	+	0.0618702i
$945$	16.9299	+	36.6468i	0.550731	+	1.19212i
$946$	−46.8762	+	39.3338i	−1.52408	+	1.27885i
$947$	−3.65864	−	3.06997i	−0.118890	−	0.0997605i	0.581404	−	0.813615i	$-0.302503\pi$
$947$	−3.65864	−	3.06997i	−0.118890	−	0.0997605i	−0.700294	+	0.713854i	$0.746948\pi$
$948$	3.77379	+	3.16659i	0.122567	+	0.102846i
$949$	3.67780	+	6.37014i	0.119386	+	0.206783i
$950$	−12.1488	+	18.8204i	−0.394161	+	0.610615i
$951$	−9.79141			−0.317508
$952$	−4.90591	+	6.95350i	−0.159002	+	0.225364i
$953$	−8.79054	+	49.8536i	−0.284754	+	1.61492i	0.421411	+	0.906870i	$0.361535\pi$
$953$	−8.79054	+	49.8536i	−0.284754	+	1.61492i	−0.706164	+	0.708048i	$0.749576\pi$
$954$	−3.52469	−	19.9895i	−0.114116	−	0.647184i
$955$	7.73205	−	43.8507i	0.250203	−	1.41897i
$956$	25.3552	−	21.2755i	0.820045	−	0.688099i
$957$	−14.1383			−0.457026
$958$	−24.6670	+	42.7245i	−0.796954	+	1.38037i
$959$	−23.2813	+	6.14937i	−0.751792	+	0.198574i
$960$	32.7229	+	11.9102i	1.05613	+	0.384399i
$961$	5.67679	+	9.83249i	0.183122	+	0.317177i
$962$	10.0338	−	17.3791i	0.323503	−	0.560324i
$963$	16.8836	−	14.1670i	0.544066	−	0.456525i
$964$	−10.0505	+	3.65809i	−0.323705	+	0.117819i
$965$	−19.4100	+	16.2869i	−0.624831	+	0.524295i
$966$	−23.0000	+	32.5996i	−0.740014	+	1.04887i
$967$	16.7127	−	6.08293i	0.537445	−	0.195614i	−0.0590146	−	0.998257i	$-0.518796\pi$
$967$	16.7127	−	6.08293i	0.537445	−	0.195614i	0.596459	+	0.802643i	$0.296574\pi$
$968$	4.78169	−	8.28213i	0.153689	−	0.266198i
$969$	−3.99915	−	31.8479i	−0.128471	−	1.02310i
$970$	46.0934	+	79.8361i	1.47997	+	2.56338i
$971$	−1.77106	+	10.0442i	−0.0568362	+	0.322334i	−0.999949	−	0.0101401i	$-0.996772\pi$
$971$	−1.77106	+	10.0442i	−0.0568362	+	0.322334i	0.943112	+	0.332474i	$0.107883\pi$
$972$	−5.09985	+	28.9227i	−0.163578	+	0.927696i
$973$	25.1313	+	25.3111i	0.805673	+	0.811435i
$974$	−36.2618	−	30.4273i	−1.16190	−	0.974953i
$975$	−3.68118	−	1.33984i	−0.117892	−	0.0429092i
$976$	−8.98411	+	15.5609i	−0.287574	+	0.498094i
$977$	−9.81511			−0.314013			−0.157007	−	0.987598i	$-0.550184\pi$
$977$	−9.81511			−0.314013			−0.157007	+	0.987598i	$0.550184\pi$
$978$	21.7930	−	18.2865i	0.696864	−	0.584738i
$979$	−19.1356	−	6.96477i	−0.611575	−	0.222595i
$980$	−15.1570	+	40.7378i	−0.484172	+	1.30132i
$981$	8.82363	+	15.2830i	0.281717	+	0.487948i
$982$	58.3435	+	21.2353i	1.86182	+	0.677646i
$983$	−5.61163	+	31.8251i	−0.178983	+	1.01506i	0.754462	+	0.656344i	$0.227898\pi$
$983$	−5.61163	+	31.8251i	−0.178983	+	1.01506i	−0.933445	+	0.358720i	$0.883213\pi$
$984$	2.04492	+	0.744290i	0.0651896	+	0.0237271i
$985$	−12.8531	−	10.7850i	−0.409533	−	0.343639i
$986$	23.4611	−	8.53913i	0.747153	−	0.271941i
$987$	−0.194079	−	2.31324i	−0.00617760	−	0.0736313i
$988$	−11.6854	+	3.60766i	−0.371761	+	0.114775i
$989$	15.9782	−	27.6751i	0.508079	−	0.880018i
$990$	31.6647	+	26.5698i	1.00637	+	0.844444i
$991$	−0.0365069	+	0.0132874i	−0.00115968	+	0.000422089i	−0.342600	−	0.939481i	$-0.611308\pi$
$991$	−0.0365069	+	0.0132874i	−0.00115968	+	0.000422089i	0.341440	+	0.939903i	$0.389085\pi$
$992$	−6.24603	−	35.4230i	−0.198312	−	1.12468i
$993$	−14.9882	−	12.5766i	−0.475637	−	0.399107i
$994$	−2.06072	+	7.58255i	−0.0653622	+	0.240504i
$995$	9.96353	+	17.2573i	0.315865	+	0.547094i
$996$	−7.11799	−	12.3287i	−0.225542	−	0.390650i
$997$	7.90671	+	44.8412i	0.250408	+	1.42013i	0.807590	+	0.589744i	$0.200771\pi$
$997$	7.90671	+	44.8412i	0.250408	+	1.42013i	−0.557182	+	0.830390i	$0.688117\pi$
$998$	6.14737	+	34.8635i	0.194592	+	1.10358i
$999$	21.9017	+	37.9349i	0.692939	+	1.20021i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	133.2.w.a.100.2	yes	66
7.2	even	3		931.2.w.f.442.10		66
7.3	odd	6		931.2.v.h.214.2		66
7.4	even	3		133.2.u.a.81.2	yes	66
7.5	odd	6		931.2.w.e.442.10		66
7.6	odd	2		931.2.x.h.765.2		66
19.4	even	9		133.2.u.a.23.2	✓	66
133.4	even	9	inner	133.2.w.a.4.2	yes	66
133.23	even	9		931.2.w.f.99.10		66
133.61	odd	18		931.2.w.e.99.10		66
133.80	odd	18		931.2.x.h.802.2		66
133.118	odd	18		931.2.v.h.422.2		66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
133.2.u.a.23.2	✓	66	19.4	even	9
133.2.u.a.81.2	yes	66	7.4	even	3
133.2.w.a.4.2	yes	66	133.4	even	9	inner
133.2.w.a.100.2	yes	66	1.1	even	1	trivial
931.2.v.h.214.2		66	7.3	odd	6
931.2.v.h.422.2		66	133.118	odd	18
931.2.w.e.99.10		66	133.61	odd	18
931.2.w.e.442.10		66	7.5	odd	6
931.2.w.f.99.10		66	133.23	even	9
931.2.w.f.442.10		66	7.2	even	3
931.2.x.h.765.2		66	7.6	odd	2
931.2.x.h.802.2		66	133.80	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 133 = 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	133.w (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.358797 + 2.03484i) q^{2} +(1.19711 - 0.435712i) q^{3} +(-2.13245 - 0.776148i) q^{4} +(2.57126 - 0.935861i) q^{5} +(0.457084 + 2.59225i) q^{6} +(2.17267 - 1.50981i) q^{7} +(0.278223 - 0.481897i) q^{8} +(-1.05491 + 0.885176i) q^{9} +O(q^{10})\)	\(q+(-0.358797 + 2.03484i) q^{2} +(1.19711 - 0.435712i) q^{3} +(-2.13245 - 0.776148i) q^{4} +(2.57126 - 0.935861i) q^{5} +(0.457084 + 2.59225i) q^{6} +(2.17267 - 1.50981i) q^{7} +(0.278223 - 0.481897i) q^{8} +(-1.05491 + 0.885176i) q^{9} +(0.981767 + 5.56788i) q^{10} -5.30910 q^{11} -2.89095 q^{12} +(-0.214691 - 1.21757i) q^{13} +(2.29267 + 4.96274i) q^{14} +(2.67031 - 2.24065i) q^{15} +(-2.59602 - 2.17832i) q^{16} +(-4.42801 - 3.71554i) q^{17} +(-1.42269 - 2.46417i) q^{18} +(1.98955 + 3.87836i) q^{19} -6.20944 q^{20} +(1.94307 - 2.75406i) q^{21} +(1.90489 - 10.8032i) q^{22} +(0.994788 + 5.64172i) q^{23} +(0.123095 - 0.698108i) q^{24} +(1.90531 - 1.59874i) q^{25} +2.55459 q^{26} +(-2.78806 + 4.82907i) q^{27} +(-5.80494 + 1.53328i) q^{28} +(1.96433 + 0.714958i) q^{29} +(3.60127 + 6.23758i) q^{30} +(2.21621 - 3.83860i) q^{31} +(6.21650 - 5.21626i) q^{32} +(-6.35556 + 2.31323i) q^{33} +(9.14928 - 7.67716i) q^{34} +(4.17351 - 5.91542i) q^{35} +(2.93657 - 1.06882i) q^{36} +(3.92776 - 6.80308i) q^{37} +(-8.60569 + 2.65686i) q^{38} +(-0.787517 - 1.36402i) q^{39} +(0.264395 - 1.49946i) q^{40} +(-0.533077 + 3.02323i) q^{41} +(4.90690 + 4.94199i) q^{42} +(-4.27320 - 3.58564i) q^{43} +(11.3214 + 4.12065i) q^{44} +(-1.88405 + 3.26327i) q^{45} -11.8369 q^{46} +(0.527597 - 0.442706i) q^{47} +(-4.05683 - 1.47657i) q^{48} +(2.44096 - 6.56062i) q^{49} +(2.56956 + 4.45062i) q^{50} +(-6.91971 - 2.51857i) q^{51} +(-0.487198 + 2.76304i) q^{52} +(6.70341 + 2.43984i) q^{53} +(-8.82603 - 7.40592i) q^{54} +(-13.6511 + 4.96858i) q^{55} +(-0.123085 - 1.46706i) q^{56} +(4.07155 + 3.77595i) q^{57} +(-2.15962 + 3.74057i) q^{58} +(-0.436331 - 0.366125i) q^{59} +(-7.43337 + 2.70553i) q^{60} +(-0.920707 - 5.22159i) q^{61} +(7.01575 + 5.88692i) q^{62} +(-0.955525 + 3.51591i) q^{63} +(4.99493 + 8.65147i) q^{64} +(-1.69150 - 2.92977i) q^{65} +(-2.42670 - 13.7625i) q^{66} +(1.98836 + 11.2766i) q^{67} +(6.55869 + 11.3600i) q^{68} +(3.64903 + 6.32031i) q^{69} +(10.5395 + 10.6149i) q^{70} +(1.10107 + 0.923908i) q^{71} +(0.133062 + 0.754635i) q^{72} +(-5.59064 + 2.03483i) q^{73} +(12.4339 + 10.4333i) q^{74} +(1.58427 - 2.74403i) q^{75} +(-1.23242 - 9.81460i) q^{76} +(-11.5349 + 8.01572i) q^{77} +(3.05812 - 1.11306i) q^{78} +(-1.30538 - 1.09535i) q^{79} +(-8.71364 - 3.17151i) q^{80} +(-0.516145 + 2.92720i) q^{81} +(-5.96052 - 2.16945i) q^{82} +(2.46216 + 4.26459i) q^{83} +(-6.28107 + 4.36478i) q^{84} +(-14.8628 - 5.40961i) q^{85} +(8.82941 - 7.40875i) q^{86} +2.66303 q^{87} +(-1.47711 + 2.55844i) q^{88} +(3.60430 + 1.31186i) q^{89} +(-5.96423 - 5.00458i) q^{90} +(-2.30475 - 2.32123i) q^{91} +(2.25748 - 12.8028i) q^{92} +(0.980526 - 5.56084i) q^{93} +(0.711536 + 1.23242i) q^{94} +(8.74525 + 8.11033i) q^{95} +(5.16903 - 8.95303i) q^{96} +(15.3220 - 5.57676i) q^{97} +(12.4740 + 7.32089i) q^{98} +(5.60063 - 4.69948i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 12 q^{6} - 9 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) \) 66 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 12 * q^6 - 9 * q^7 - 6 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 12 q^{6} - 9 q^{7} - 6 q^{8} - 3 q^{9} + 15 q^{10} - 54 q^{12} - 12 q^{13} - 3 q^{14} - 9 q^{15} + 9 q^{16} - 18 q^{18} + 6 q^{19} + 18 q^{21} - 12 q^{22} - 3 q^{23} - 36 q^{24} - 3 q^{25} - 18 q^{26} + 30 q^{27} + 45 q^{28} + 6 q^{29} + 3 q^{30} + 39 q^{31} + 6 q^{32} - 39 q^{33} - 24 q^{34} - 27 q^{35} + 51 q^{36} + 6 q^{37} - 72 q^{38} - 24 q^{39} + 57 q^{40} - 30 q^{41} + 87 q^{42} + 12 q^{43} - 48 q^{44} - 3 q^{45} - 12 q^{46} - 21 q^{47} - 21 q^{48} - 21 q^{49} + 27 q^{50} - 3 q^{51} - 9 q^{52} - 9 q^{53} + 93 q^{54} - 27 q^{55} + 12 q^{56} + 6 q^{57} - 42 q^{58} + 6 q^{59} + 48 q^{60} + 18 q^{61} - 27 q^{62} - 87 q^{63} + 24 q^{64} + 21 q^{65} + 15 q^{66} - 18 q^{67} - 15 q^{68} + 42 q^{69} + 15 q^{70} + 30 q^{71} + 48 q^{72} - 78 q^{73} + 21 q^{74} + 57 q^{75} + 42 q^{76} + 18 q^{77} - 51 q^{78} - 81 q^{79} - 3 q^{80} + 48 q^{81} + 117 q^{82} - 18 q^{83} - 51 q^{84} - 24 q^{85} - 66 q^{86} + 18 q^{87} - 45 q^{88} - 3 q^{89} - 48 q^{90} + 78 q^{91} + 12 q^{92} + 33 q^{93} + 72 q^{94} + 93 q^{95} + 69 q^{96} + 3 q^{97} + 6 q^{98} - 156 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 12 * q^6 - 9 * q^7 - 6 * q^8 - 3 * q^9 + 15 * q^10 - 54 * q^12 - 12 * q^13 - 3 * q^14 - 9 * q^15 + 9 * q^16 - 18 * q^18 + 6 * q^19 + 18 * q^21 - 12 * q^22 - 3 * q^23 - 36 * q^24 - 3 * q^25 - 18 * q^26 + 30 * q^27 + 45 * q^28 + 6 * q^29 + 3 * q^30 + 39 * q^31 + 6 * q^32 - 39 * q^33 - 24 * q^34 - 27 * q^35 + 51 * q^36 + 6 * q^37 - 72 * q^38 - 24 * q^39 + 57 * q^40 - 30 * q^41 + 87 * q^42 + 12 * q^43 - 48 * q^44 - 3 * q^45 - 12 * q^46 - 21 * q^47 - 21 * q^48 - 21 * q^49 + 27 * q^50 - 3 * q^51 - 9 * q^52 - 9 * q^53 + 93 * q^54 - 27 * q^55 + 12 * q^56 + 6 * q^57 - 42 * q^58 + 6 * q^59 + 48 * q^60 + 18 * q^61 - 27 * q^62 - 87 * q^63 + 24 * q^64 + 21 * q^65 + 15 * q^66 - 18 * q^67 - 15 * q^68 + 42 * q^69 + 15 * q^70 + 30 * q^71 + 48 * q^72 - 78 * q^73 + 21 * q^74 + 57 * q^75 + 42 * q^76 + 18 * q^77 - 51 * q^78 - 81 * q^79 - 3 * q^80 + 48 * q^81 + 117 * q^82 - 18 * q^83 - 51 * q^84 - 24 * q^85 - 66 * q^86 + 18 * q^87 - 45 * q^88 - 3 * q^89 - 48 * q^90 + 78 * q^91 + 12 * q^92 + 33 * q^93 + 72 * q^94 + 93 * q^95 + 69 * q^96 + 3 * q^97 + 6 * q^98 - 156 * q^99

Introduction

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