LMFDB - Embedded newform 975.2.cm.a.94.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [975,2,Mod(94,975)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(975, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([0, 27, 10]))

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

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

chi := DirichletCharacter("975.94");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 975 = 3 \cdot 5^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	975.cm (of order $30$, degree $8$, 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:	$7.78541419707$
Analytic rank:	$0$
Dimension:	$544$
Relative dimension:	$68$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			94.9
Character	$\chi$	$=$	975.94
Dual form			975.2.cm.a.529.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.74234 - 1.56881i) q^{2} +(0.406737 - 0.913545i) q^{3} +(0.365527 + 3.47775i) q^{4} +(1.90511 + 1.17071i) q^{5} +(-2.14185 + 0.953614i) q^{6} +(-0.872867 - 0.503950i) q^{7} +(2.06288 - 2.83931i) q^{8} +(-0.669131 - 0.743145i) q^{9} +O(q^{10})$	\(q+(-1.74234 - 1.56881i) q^{2} +(0.406737 - 0.913545i) q^{3} +(0.365527 + 3.47775i) q^{4} +(1.90511 + 1.17071i) q^{5} +(-2.14185 + 0.953614i) q^{6} +(-0.872867 - 0.503950i) q^{7} +(2.06288 - 2.83931i) q^{8} +(-0.669131 - 0.743145i) q^{9} +(-1.48271 - 5.02853i) q^{10} +(-1.67536 + 1.86068i) q^{11} +(3.32576 + 1.08060i) q^{12} +(-3.60485 - 0.0710151i) q^{13} +(0.730229 + 2.24742i) q^{14} +(1.84438 - 1.26423i) q^{15} +(-1.20758 + 0.256680i) q^{16} +(-0.511075 - 1.14789i) q^{17} +2.34455i q^{18} +(2.87147 - 1.27846i) q^{19} +(-3.37509 + 7.05342i) q^{20} +(-0.815409 + 0.592429i) q^{21} +(5.83810 - 0.613609i) q^{22} +(-5.71855 - 5.14900i) q^{23} +(-1.75479 - 3.03939i) q^{24} +(2.25885 + 4.46067i) q^{25} +(6.16947 + 5.77906i) q^{26} +(-0.951057 + 0.309017i) q^{27} +(1.43356 - 3.21983i) q^{28} +(-6.77676 - 3.01721i) q^{29} +(-5.19686 - 0.690762i) q^{30} +(2.72515 + 1.97993i) q^{31} +(-3.57207 - 2.06234i) q^{32} +(1.01838 + 2.28733i) q^{33} +(-0.910360 + 2.80180i) q^{34} +(-1.07292 - 1.98196i) q^{35} +(2.33989 - 2.59871i) q^{36} +(-2.17902 - 10.2515i) q^{37} +(-7.00873 - 2.27728i) q^{38} +(-1.53110 + 3.26431i) q^{39} +(7.25402 - 2.99414i) q^{40} +(0.106792 - 0.0226994i) q^{41} +(2.35013 + 0.247008i) q^{42} +(2.14362 + 1.23762i) q^{43} +(-7.08338 - 5.14637i) q^{44} +(-0.404754 - 2.19913i) q^{45} +(1.88585 + 17.9426i) q^{46} +(-4.41337 - 6.07449i) q^{47} +(-0.256680 + 1.20758i) q^{48} +(-2.99207 - 5.18241i) q^{49} +(3.06225 - 11.3157i) q^{50} -1.25653 q^{51} +(-1.07070 - 12.5627i) q^{52} +(-4.72784 - 6.50732i) q^{53} +(2.14185 + 0.953614i) q^{54} +(-5.37007 + 1.58342i) q^{55} +(-3.23149 + 1.43875i) q^{56} -3.14321i q^{57} +(7.07399 + 15.8884i) q^{58} +(-4.26949 - 4.74175i) q^{59} +(5.07084 + 5.95218i) q^{60} +(-12.7139 - 2.70242i) q^{61} +(-1.64199 - 7.72496i) q^{62} +(0.209554 + 0.985875i) q^{63} +(3.75135 + 11.5455i) q^{64} +(-6.78448 - 4.35554i) q^{65} +(1.81401 - 5.58295i) q^{66} +(5.09674 + 0.535689i) q^{67} +(3.80528 - 2.19698i) q^{68} +(-7.02979 + 3.12986i) q^{69} +(-1.23992 + 5.13645i) q^{70} +(-0.283519 - 2.69750i) q^{71} +(-3.49035 + 0.366851i) q^{72} +(7.84822 - 2.55004i) q^{73} +(-12.2860 + 21.2801i) q^{74} +(4.99378 - 0.249248i) q^{75} +(5.49577 + 9.51895i) q^{76} +(2.40006 - 0.779827i) q^{77} +(7.78878 - 3.28553i) q^{78} +(-4.25522 + 3.09160i) q^{79} +(-2.60107 - 0.924733i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(-0.221679 - 0.127987i) q^{82} +(-8.20095 + 11.2876i) q^{83} +(-2.35838 - 2.61924i) q^{84} +(0.370204 - 2.78518i) q^{85} +(-1.79333 - 5.51929i) q^{86} +(-5.51271 + 4.96367i) q^{87} +(1.82697 + 8.59523i) q^{88} +(5.84426 - 6.49071i) q^{89} +(-2.74480 + 4.46661i) q^{90} +(3.11077 + 1.87865i) q^{91} +(15.8167 - 21.7698i) q^{92} +(2.91718 - 1.68423i) q^{93} +(-1.84012 + 17.5076i) q^{94} +(6.96716 + 0.926069i) q^{95} +(-3.33693 + 2.42442i) q^{96} +(14.7091 - 1.54599i) q^{97} +(-2.91702 + 13.7235i) q^{98} +2.50379 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 544 q - 64 q^{4} - 4 q^{5} - 68 q^{9}+O(q^{10}) $ 544 * q - 64 * q^4 - 4 * q^5 - 68 * q^9	$ 544 q - 64 q^{4} - 4 q^{5} - 68 q^{9} + 4 q^{10} + 2 q^{15} + 68 q^{16} - 12 q^{19} + 36 q^{20} - 50 q^{22} - 20 q^{23} + 36 q^{25} + 48 q^{26} - 8 q^{29} + 4 q^{30} + 10 q^{33} + 24 q^{34} - 10 q^{35} + 64 q^{36} - 10 q^{37} - 132 q^{40} - 14 q^{41} - 2 q^{45} + 20 q^{46} + 208 q^{49} + 70 q^{50} - 128 q^{51} - 40 q^{52} - 100 q^{53} - 50 q^{55} + 36 q^{56} - 60 q^{58} - 12 q^{59} - 48 q^{60} - 28 q^{61} - 160 q^{62} + 176 q^{64} + 56 q^{65} + 48 q^{66} + 12 q^{69} - 24 q^{70} - 32 q^{71} - 160 q^{73} - 8 q^{74} - 16 q^{75} - 12 q^{76} + 80 q^{77} - 96 q^{79} + 4 q^{80} + 68 q^{81} + 64 q^{85} - 48 q^{86} + 40 q^{87} + 20 q^{88} - 60 q^{89} + 8 q^{90} - 64 q^{91} - 360 q^{92} + 4 q^{94} - 132 q^{95} + 60 q^{96} - 360 q^{98}+O(q^{100}) $ 544 * q - 64 * q^4 - 4 * q^5 - 68 * q^9 + 4 * q^10 + 2 * q^15 + 68 * q^16 - 12 * q^19 + 36 * q^20 - 50 * q^22 - 20 * q^23 + 36 * q^25 + 48 * q^26 - 8 * q^29 + 4 * q^30 + 10 * q^33 + 24 * q^34 - 10 * q^35 + 64 * q^36 - 10 * q^37 - 132 * q^40 - 14 * q^41 - 2 * q^45 + 20 * q^46 + 208 * q^49 + 70 * q^50 - 128 * q^51 - 40 * q^52 - 100 * q^53 - 50 * q^55 + 36 * q^56 - 60 * q^58 - 12 * q^59 - 48 * q^60 - 28 * q^61 - 160 * q^62 + 176 * q^64 + 56 * q^65 + 48 * q^66 + 12 * q^69 - 24 * q^70 - 32 * q^71 - 160 * q^73 - 8 * q^74 - 16 * q^75 - 12 * q^76 + 80 * q^77 - 96 * q^79 + 4 * q^80 + 68 * q^81 + 64 * q^85 - 48 * q^86 + 40 * q^87 + 20 * q^88 - 60 * q^89 + 8 * q^90 - 64 * q^91 - 360 * q^92 + 4 * q^94 - 132 * q^95 + 60 * q^96 - 360 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/975\mathbb{Z}\right)^\times$.

$n$	$301$	$326$	$352$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{9}{10}\right)$

Coefficient data

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

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

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

$2$	−1.74234	−	1.56881i	−1.23202	−	1.10932i	−0.990296	−	0.138971i	$-0.955621\pi$
$2$	−1.74234	−	1.56881i	−1.23202	−	1.10932i	−0.241724	−	0.970345i	$-0.577713\pi$
$3$	0.406737	−	0.913545i	0.234830	−	0.527436i
$3$	0.406737	−	0.913545i	0.234830	−	0.527436i
$4$	0.365527	+	3.47775i	0.182763	+	1.73888i
$5$	1.90511	+	1.17071i	0.851989	+	0.523560i
$5$	1.90511	+	1.17071i	0.851989	+	0.523560i
$6$	−2.14185	+	0.953614i	−0.874407	+	0.389311i
$7$	−0.872867	−	0.503950i	−0.329913	−	0.190475i	0.325890	−	0.945408i	$-0.394336\pi$
$7$	−0.872867	−	0.503950i	−0.329913	−	0.190475i	−0.655802	+	0.754933i	$0.727670\pi$
$8$	2.06288	−	2.83931i	0.729338	−	1.00385i
$9$	−0.669131	−	0.743145i	−0.223044	−	0.247715i
$10$	−1.48271	−	5.02853i	−0.468875	−	1.59016i
$11$	−1.67536	+	1.86068i	−0.505141	+	0.561016i	−0.940742	−	0.339124i	$-0.889869\pi$
$11$	−1.67536	+	1.86068i	−0.505141	+	0.561016i	0.435601	+	0.900140i	$0.356536\pi$
$12$	3.32576	+	1.08060i	0.960064	+	0.311944i
$13$	−3.60485	−	0.0710151i	−0.999806	−	0.0196960i
$13$	−3.60485	−	0.0710151i	−0.999806	−	0.0196960i
$14$	0.730229	+	2.24742i	0.195162	+	0.600647i
$15$	1.84438	−	1.26423i	0.476216	−	0.326422i
$16$	−1.20758	+	0.256680i	−0.301896	+	0.0641699i
$17$	−0.511075	−	1.14789i	−0.123954	−	0.278405i	0.840901	−	0.541190i	$-0.182026\pi$
$17$	−0.511075	−	1.14789i	−0.123954	−	0.278405i	−0.964855	+	0.262784i	$0.915359\pi$
$18$			2.34455i			0.552616i
$19$	2.87147	−	1.27846i	0.658760	−	0.293299i	−0.0499993	−	0.998749i	$-0.515922\pi$
$19$	2.87147	−	1.27846i	0.658760	−	0.293299i	0.708759	+	0.705450i	$0.249255\pi$
$20$	−3.37509	+	7.05342i	−0.754693	+	1.57719i
$21$	−0.815409	+	0.592429i	−0.177937	+	0.129279i
$22$	5.83810	−	0.613609i	1.24469	−	0.130822i
$23$	−5.71855	−	5.14900i	−1.19240	−	1.07364i	−0.995649	−	0.0931878i	$-0.970294\pi$
$23$	−5.71855	−	5.14900i	−1.19240	−	1.07364i	−0.196751	−	0.980454i	$-0.563039\pi$
$24$	−1.75479	−	3.03939i	−0.358195	−	0.620412i
$25$	2.25885	+	4.46067i	0.451771	+	0.892134i
$26$	6.16947	+	5.77906i	1.20993	+	1.13337i
$27$	−0.951057	+	0.309017i	−0.183031	+	0.0594703i
$28$	1.43356	−	3.21983i	0.270917	−	0.608490i
$29$	−6.77676	−	3.01721i	−1.25841	−	0.560281i	−0.334323	−	0.942458i	$-0.608508\pi$
$29$	−6.77676	−	3.01721i	−1.25841	−	0.560281i	−0.924089	+	0.382177i	$0.875174\pi$
$30$	−5.19686	−	0.690762i	−0.948813	−	0.126115i
$31$	2.72515	+	1.97993i	0.489451	+	0.355607i	0.804973	−	0.593311i	$-0.202180\pi$
$31$	2.72515	+	1.97993i	0.489451	+	0.355607i	−0.315522	+	0.948918i	$0.602180\pi$
$32$	−3.57207	−	2.06234i	−0.631459	−	0.364573i
$33$	1.01838	+	2.28733i	0.177278	+	0.398173i
$34$	−0.910360	+	2.80180i	−0.156125	+	0.480505i
$35$	−1.07292	−	1.98196i	−0.181357	−	0.335012i
$36$	2.33989	−	2.59871i	0.389982	−	0.433118i
$37$	−2.17902	−	10.2515i	−0.358229	−	1.68534i	−0.675787	−	0.737097i	$-0.736196\pi$
$37$	−2.17902	−	10.2515i	−0.358229	−	1.68534i	0.317558	−	0.948239i	$-0.397137\pi$
$38$	−7.00873	−	2.27728i	−1.13697	−	0.369423i
$39$	−1.53110	+	3.26431i	−0.245172	+	0.522708i
$40$	7.25402	−	2.99414i	1.14696	−	0.473415i
$41$	0.106792	−	0.0226994i	0.0166781	−	0.00354505i	−0.199565	−	0.979885i	$-0.563953\pi$
$41$	0.106792	−	0.0226994i	0.0166781	−	0.00354505i	0.216243	+	0.976340i	$0.430620\pi$
$42$	2.35013	+	0.247008i	0.362632	+	0.0381142i
$43$	2.14362	+	1.23762i	0.326899	+	0.188735i	0.654464	−	0.756093i	$-0.272894\pi$
$43$	2.14362	+	1.23762i	0.326899	+	0.188735i	−0.327564	+	0.944829i	$0.606228\pi$
$44$	−7.08338	−	5.14637i	−1.06786	−	0.775845i
$45$	−0.404754	−	2.19913i	−0.0603371	−	0.327827i
$46$	1.88585	+	17.9426i	0.278053	+	2.64550i
$47$	−4.41337	−	6.07449i	−0.643757	−	0.886055i	0.355052	−	0.934846i	$-0.384463\pi$
$47$	−4.41337	−	6.07449i	−0.643757	−	0.886055i	−0.998809	+	0.0487912i	$0.984463\pi$
$48$	−0.256680	+	1.20758i	−0.0370485	+	0.174300i
$49$	−2.99207	−	5.18241i	−0.427438	−	0.740345i
$50$	3.06225	−	11.3157i	0.433068	−	1.60028i
$51$	−1.25653			−0.175949
$52$	−1.07070	−	12.5627i	−0.148479	−	1.74214i
$53$	−4.72784	−	6.50732i	−0.649419	−	0.893849i	0.349654	−	0.936879i	$-0.386299\pi$
$53$	−4.72784	−	6.50732i	−0.649419	−	0.893849i	−0.999074	+	0.0430297i	$0.986299\pi$
$54$	2.14185	+	0.953614i	0.291469	+	0.129770i
$55$	−5.37007	+	1.58342i	−0.724100	+	0.213508i
$56$	−3.23149	+	1.43875i	−0.431826	+	0.192261i
$57$		−	3.14321i		−	0.416329i
$58$	7.07399	+	15.8884i	0.928861	+	2.08625i
$59$	−4.26949	−	4.74175i	−0.555840	−	0.617323i	0.398092	−	0.917346i	$-0.369673\pi$
$59$	−4.26949	−	4.74175i	−0.555840	−	0.617323i	−0.953932	+	0.300022i	$0.903006\pi$
$60$	5.07084	+	5.95218i	0.654643	+	0.768423i
$61$	−12.7139	−	2.70242i	−1.62785	−	0.346010i	−0.698613	−	0.715500i	$-0.746199\pi$
$61$	−12.7139	−	2.70242i	−1.62785	−	0.346010i	−0.929235	+	0.369490i	$0.879532\pi$
$62$	−1.64199	−	7.72496i	−0.208533	−	0.981070i
$63$	0.209554	+	0.985875i	0.0264014	+	0.124209i
$64$	3.75135	+	11.5455i	0.468918	+	1.44318i
$65$	−6.78448	−	4.35554i	−0.841512	−	0.540239i
$66$	1.81401	−	5.58295i	0.223289	−	0.687214i
$67$	5.09674	+	0.535689i	0.622665	+	0.0654448i	0.410607	−	0.911812i	$-0.365317\pi$
$67$	5.09674	+	0.535689i	0.622665	+	0.0654448i	0.212058	+	0.977257i	$0.431983\pi$
$68$	3.80528	−	2.19698i	0.461458	−	0.266423i
$69$	−7.02979	+	3.12986i	−0.846287	+	0.376791i
$70$	−1.23992	+	5.13645i	−0.148198	+	0.613924i
$71$	−0.283519	−	2.69750i	−0.0336475	−	0.320134i	−0.998380	−	0.0569014i	$-0.981878\pi$
$71$	−0.283519	−	2.69750i	−0.0336475	−	0.320134i	0.964732	−	0.263233i	$-0.0847887\pi$
$72$	−3.49035	+	0.366851i	−0.411342	+	0.0432338i
$73$	7.84822	−	2.55004i	0.918564	−	0.298460i	0.188687	−	0.982037i	$-0.439577\pi$
$73$	7.84822	−	2.55004i	0.918564	−	0.298460i	0.729878	+	0.683578i	$0.239577\pi$
$74$	−12.2860	+	21.2801i	−1.42822	+	2.47376i
$75$	4.99378	−	0.249248i	0.576632	−	0.0287807i
$76$	5.49577	+	9.51895i	0.630408	+	1.09190i
$77$	2.40006	−	0.779827i	0.273512	−	0.0888695i
$78$	7.78878	−	3.28553i	0.881906	−	0.372013i
$79$	−4.25522	+	3.09160i	−0.478750	+	0.347832i	−0.800841	−	0.598876i	$-0.795614\pi$
$79$	−4.25522	+	3.09160i	−0.478750	+	0.347832i	0.322092	+	0.946708i	$0.395614\pi$
$80$	−2.60107	−	0.924733i	−0.290809	−	0.103388i
$81$	−0.104528	+	0.994522i	−0.0116143	+	0.110502i
$82$	−0.221679	−	0.127987i	−0.0244804	−	0.0141338i
$83$	−8.20095	+	11.2876i	−0.900171	+	1.23898i	0.0702428	+	0.997530i	$0.477623\pi$
$83$	−8.20095	+	11.2876i	−0.900171	+	1.23898i	−0.970414	+	0.241449i	$0.922377\pi$
$84$	−2.35838	−	2.61924i	−0.257320	−	0.285783i
$85$	0.370204	−	2.78518i	0.0401542	−	0.302095i
$86$	−1.79333	−	5.51929i	−0.193379	−	0.595160i
$87$	−5.51271	+	4.96367i	−0.591025	+	0.532161i
$88$	1.82697	+	8.59523i	0.194756	+	0.916255i
$89$	5.84426	−	6.49071i	0.619490	−	0.688013i	−0.348984	−	0.937129i	$-0.613473\pi$
$89$	5.84426	−	6.49071i	0.619490	−	0.688013i	0.968474	+	0.249115i	$0.0801398\pi$
$90$	−2.74480	+	4.46661i	−0.289327	+	0.470822i
$91$	3.11077	+	1.87865i	0.326097	+	0.196936i
$92$	15.8167	−	21.7698i	1.64900	−	2.26966i
$93$	2.91718	−	1.68423i	0.302497	−	0.174647i
$94$	−1.84012	+	17.5076i	−0.189794	+	1.80577i
$95$	6.96716	+	0.926069i	0.714816	+	0.0950126i
$96$	−3.33693	+	2.42442i	−0.340574	+	0.247441i
$97$	14.7091	−	1.54599i	1.49348	−	0.156971i	0.677703	−	0.735336i	$-0.262975\pi$
$97$	14.7091	−	1.54599i	1.49348	−	0.156971i	0.815779	+	0.578364i	$0.196309\pi$
$98$	−2.91702	+	13.7235i	−0.294664	+	1.38628i
$99$	2.50379			0.251641
$100$	−14.6874	+	9.48623i	−1.46874	+	0.948623i
$101$	7.80158	+	13.5127i	0.776286	+	1.34457i	0.934069	+	0.357094i	$0.116232\pi$
$101$	7.80158	+	13.5127i	0.776286	+	1.34457i	−0.157782	+	0.987474i	$0.550434\pi$
$102$	2.18930	+	1.97125i	0.216773	+	0.195183i
$103$	10.0826	+	13.8775i	0.993467	+	1.36739i	0.929249	+	0.369455i	$0.120456\pi$
$103$	10.0826	+	13.8775i	0.993467	+	1.36739i	0.0642186	+	0.997936i	$0.479544\pi$
$104$	−7.63801	+	10.0888i	−0.748968	+	0.989288i
$105$	−2.24700	+	0.174029i	−0.219285	+	0.0169835i
$106$	−1.97123	+	18.7550i	−0.191463	+	1.82165i
$107$	−8.01647	+	4.62831i	−0.774982	+	0.447436i	−0.834649	−	0.550782i	$-0.814329\pi$
$107$	−8.01647	+	4.62831i	−0.774982	+	0.447436i	0.0596672	+	0.998218i	$0.480996\pi$
$108$	−1.42232	−	3.19459i	−0.136863	−	0.307399i
$109$	1.57282	−	4.84064i	0.150649	−	0.463649i	−0.847045	−	0.531521i	$-0.821621\pi$
$109$	1.57282	−	4.84064i	0.150649	−	0.463649i	0.997694	+	0.0678716i	$0.0216208\pi$
$110$	11.8406	+	5.66576i	1.12895	+	0.540209i
$111$	−10.2515	−	2.17902i	−0.973029	−	0.206824i
$112$	1.18341	+	0.384514i	0.111822	+	0.0363332i
$113$	−3.27377	+	2.94772i	−0.307970	+	0.277298i	−0.808594	−	0.588367i	$-0.799771\pi$
$113$	−3.27377	+	2.94772i	−0.307970	+	0.277298i	0.500623	+	0.865665i	$0.333104\pi$
$114$	−4.93110	+	5.47654i	−0.461840	+	0.512925i
$115$	−4.86642	−	16.5042i	−0.453796	−	1.53902i
$116$	8.01602	−	24.6708i	0.744269	−	2.29062i
$117$	2.35934	+	2.72645i	0.218121	+	0.252060i
$118$			14.9598i			1.37716i
$119$	−0.132380	+	1.25952i	−0.0121353	+	0.115460i
$120$	0.215193	−	7.84471i	0.0196443	−	0.716121i
$121$	0.494527	+	4.70511i	0.0449570	+	0.427737i
$122$	17.9123	+	24.6542i	1.62171	+	2.23209i
$123$	0.0226994	−	0.106792i	0.00204673	−	0.00962913i
$124$	−5.88961	+	10.2011i	−0.528903	+	0.916087i
$125$	−0.918816	+	11.1425i	−0.0821814	+	0.996617i
$126$	1.18154	−	2.04648i	0.105260	−	0.182315i
$127$	−8.88996	−	8.00456i	−0.788856	−	0.710289i	0.172677	−	0.984979i	$-0.444758\pi$
$127$	−8.88996	−	8.00456i	−0.788856	−	0.710289i	−0.961533	+	0.274689i	$0.911425\pi$
$128$	8.22120	−	18.4651i	0.726658	−	1.63210i
$129$	2.00251	−	1.45491i	0.176311	−	0.128098i
$130$	4.98786	+	18.2324i	0.437464	+	1.59909i
$131$	10.2488	+	7.44621i	0.895445	+	0.650579i	0.937292	−	0.348545i	$-0.113324\pi$
$131$	10.2488	+	7.44621i	0.895445	+	0.650579i	−0.0418473	+	0.999124i	$0.513324\pi$
$132$	−7.58251	+	4.37777i	−0.659973	+	0.381036i
$133$	−3.15069	−	0.331151i	−0.273200	−	0.0287144i
$134$	−8.03985	−	8.92916i	−0.694537	−	0.771362i
$135$	−2.17363	−	0.524706i	−0.187077	−	0.0451595i
$136$	−4.31351	−	0.916865i	−0.369881	−	0.0786205i
$137$	−5.31114	+	4.78217i	−0.453761	+	0.408569i	−0.864065	−	0.503380i	$-0.832089\pi$
$137$	−5.31114	+	4.78217i	−0.453761	+	0.408569i	0.410303	+	0.911949i	$0.365423\pi$
$138$	17.1584	+	5.57512i	1.46062	+	0.474585i
$139$	−2.05095	−	0.435944i	−0.173960	−	0.0369763i	0.120108	−	0.992761i	$-0.461676\pi$
$139$	−2.05095	−	0.435944i	−0.173960	−	0.0369763i	−0.294068	+	0.955785i	$0.595009\pi$
$140$	6.50058	−	4.45582i	0.549399	−	0.376585i
$141$	−7.34440	+	1.56110i	−0.618510	+	0.131468i
$142$	−3.73788	+	5.14475i	−0.313676	+	0.431737i
$143$	6.17157	−	6.58850i	0.516093	−	0.550958i
$144$	0.998781	+	0.725657i	0.0832317	+	0.0604714i
$145$	−9.37815	−	13.6817i	−0.778813	−	1.13621i
$146$	−17.6748	−	7.86932i	−1.46278	−	0.651270i
$147$	−5.95135	+	0.625513i	−0.490859	+	0.0515914i
$148$	34.8557	−	11.3253i	2.86512	−	0.930934i
$149$	0.215418	−	0.373115i	0.0176477	−	0.0305668i	−0.857067	−	0.515206i	$-0.827716\pi$
$149$	0.215418	−	0.373115i	0.0176477	−	0.0305668i	0.874714	+	0.484639i	$0.161049\pi$
$150$	−9.09189	−	7.40002i	−0.742350	−	0.604209i
$151$	−3.24501			−0.264075			−0.132038	−	0.991245i	$-0.542152\pi$
$151$	−3.24501			−0.264075			−0.132038	+	0.991245i	$0.542152\pi$
$152$	2.29355	−	10.7903i	0.186031	−	0.875209i
$153$	−0.511075	+	1.14789i	−0.0413180	+	0.0928017i
$154$	−5.40512	−	2.40651i	−0.435557	−	0.193922i
$155$	2.87375	+	6.96235i	0.230825	+	0.559230i
$156$	−11.9121	−	4.13160i	−0.953734	−	0.330793i
$157$		−	12.2083i		−	0.974327i	−0.873311	−	0.487164i	$-0.838032\pi$
$157$		−	12.2083i		−	0.974327i	0.873311	−	0.487164i	$-0.161968\pi$
$158$	12.2642	+	1.28902i	0.975685	+	0.102549i
$159$	−7.86772	+	1.67234i	−0.623951	+	0.132625i
$160$	−4.39076	−	8.11084i	−0.347120	−	0.641218i
$161$	2.39669	+	7.37626i	0.188886	+	0.581331i
$162$	1.74234	−	1.56881i	0.136891	−	0.123257i
$163$	−0.0521938	+	0.0469955i	−0.00408814	+	0.00368097i	−0.671172	−	0.741302i	$-0.734209\pi$
$163$	−0.0521938	+	0.0469955i	−0.00408814	+	0.00368097i	0.667084	+	0.744983i	$0.267542\pi$
$164$	0.117978	+	0.363100i	0.00921255	+	0.0283533i
$165$	−0.737679	+	5.54984i	−0.0574282	+	0.432054i
$166$	31.9970	−	6.80117i	2.48345	−	0.527873i
$167$	3.33657	+	0.350688i	0.258191	+	0.0271370i	0.232740	−	0.972539i	$-0.425231\pi$
$167$	3.33657	+	0.350688i	0.258191	+	0.0271370i	0.0254517	+	0.999676i	$0.491898\pi$
$168$			3.53731i			0.272909i
$169$	12.9899	+	0.511998i	0.999224	+	0.0393845i
$170$	−5.01444	+	4.27195i	−0.384590	+	0.327644i
$171$	−2.87147	−	1.27846i	−0.219587	−	0.0977663i
$172$	−3.52059	+	7.90737i	−0.268442	+	0.602932i
$173$	0.619188	−	2.91305i	0.0470760	−	0.221475i	−0.948321	−	0.317313i	$-0.897220\pi$
$173$	0.619188	−	2.91305i	0.0470760	−	0.221475i	0.995397	+	0.0958374i	$0.0305529\pi$
$174$	17.3921			1.31849
$175$	0.276275	−	5.03192i	0.0208844	−	0.380378i
$176$	1.54554	−	2.67696i	0.116500	−	0.201783i
$177$	−6.06836	+	1.97173i	−0.456126	+	0.148204i
$178$	−20.3654	+	2.14049i	−1.52645	+	0.160436i
$179$	−0.871844	−	0.388170i	−0.0651647	−	0.0290132i	0.373896	−	0.927471i	$-0.378022\pi$
$179$	−0.871844	−	0.388170i	−0.0651647	−	0.0290132i	−0.439060	+	0.898458i	$0.644689\pi$
$180$	7.50009	−	2.21148i	0.559023	−	0.164834i
$181$	−15.5301	−	11.2833i	−1.15435	−	0.838682i	−0.165294	−	0.986244i	$-0.552857\pi$
$181$	−15.5301	−	11.2833i	−1.15435	−	0.838682i	−0.989053	+	0.147562i	$0.952857\pi$
$182$	−2.47277	−	8.15346i	−0.183294	−	0.604374i
$183$	−7.63999	+	10.5155i	−0.564764	+	0.777331i
$184$	−26.4163	+	5.61495i	−1.94743	+	0.413940i
$185$	7.85031	−	22.0812i	0.577166	−	1.62344i
$186$	−7.72496	−	1.64199i	−0.566421	−	0.120397i
$187$	2.99210	+	0.972192i	0.218804	+	0.0710937i
$188$	19.5124	−	17.5690i	1.42309	−	1.28135i
$189$	0.985875	+	0.209554i	0.0717119	+	0.0152428i
$190$	−10.6863	−	12.5437i	−0.775268	−	0.910014i
$191$	−12.0645	−	13.3989i	−0.872953	−	0.969513i	0.126795	−	0.991929i	$-0.459531\pi$
$191$	−12.0645	−	13.3989i	−0.872953	−	0.969513i	−0.999749	+	0.0224161i	$0.992864\pi$
$192$	12.0731	+	1.26894i	0.871302	+	0.0915775i
$193$	−8.42115	+	4.86196i	−0.606168	+	0.349971i	−0.771464	−	0.636273i	$-0.780475\pi$
$193$	−8.42115	+	4.86196i	−0.606168	+	0.349971i	0.165296	+	0.986244i	$0.447142\pi$
$194$	−28.0536	−	20.3821i	−2.01413	−	1.46335i
$195$	−6.73849	+	4.42638i	−0.482553	+	0.316979i
$196$	16.9295	−	12.3000i	1.20925	−	0.878571i
$197$	4.17334	−	9.37348i	0.297338	−	0.667833i	−0.701663	−	0.712509i	$-0.747559\pi$
$197$	4.17334	−	9.37348i	0.297338	−	0.667833i	0.999002	+	0.0446761i	$0.0142256\pi$
$198$	−4.36245	−	3.92797i	−0.310026	−	0.279149i
$199$	−6.28823	+	10.8915i	−0.445761	+	0.772081i	−0.998105	−	0.0615355i	$-0.980400\pi$
$199$	−6.28823	+	10.8915i	−0.445761	+	0.772081i	0.552344	+	0.833616i	$0.313734\pi$
$200$	17.3250	+	2.78824i	1.22506	+	0.197158i
$201$	2.56241	−	4.43822i	0.180738	−	0.313048i
$202$	7.60591	−	35.7830i	0.535150	−	2.51768i
$203$	4.39469	+	6.04877i	0.308447	+	0.424541i
$204$	−0.459294	−	4.36989i	−0.0321570	−	0.305953i
$205$	0.230025	+	0.0817785i	0.0160656	+	0.00571166i
$206$	4.20385	−	39.9970i	0.292896	−	2.78672i
$207$			7.69506i			0.534844i
$208$	4.37139	−	0.839536i	0.303101	−	0.0582113i
$209$	−2.43195	+	7.48477i	−0.168221	+	0.517732i
$210$	4.18806	+	3.22190i	0.289004	+	0.222333i
$211$	−9.93931	+	11.0387i	−0.684250	+	0.759937i	−0.980786	−	0.195085i	$-0.937502\pi$
$211$	−9.93931	+	11.0387i	−0.684250	+	0.759937i	0.296536	+	0.955022i	$0.404169\pi$
$212$	20.9027	−	18.8209i	1.43560	−	1.29262i
$213$	−2.57961	−	0.838164i	−0.176752	−	0.0574301i
$214$	21.2284	+	4.51223i	1.45114	+	0.308449i
$215$	2.63493	+	4.86737i	0.179700	+	0.331952i
$216$	−1.08452	+	3.33781i	−0.0737922	+	0.227109i
$217$	−1.38090	−	3.10156i	−0.0937418	−	0.210548i
$218$	−10.3344	+	5.96658i	−0.699935	+	0.404108i
$219$	0.862580	−	8.20690i	0.0582877	−	0.554571i
$220$	−7.46964	−	18.0970i	−0.503603	−	1.22010i
$221$	1.76083	+	4.17428i	0.118446	+	0.280793i
$222$	14.4431	+	19.8792i	0.969359	+	1.33421i
$223$	15.8723	+	14.2915i	1.06289	+	0.957026i	0.999162	−	0.0409412i	$-0.0130356\pi$
$223$	15.8723	+	14.2915i	1.06289	+	0.957026i	0.0637239	+	0.997968i	$0.479702\pi$
$224$	2.07863	+	3.60029i	0.138884	+	0.240554i
$225$	1.80346	−	4.66343i	0.120230	−	0.310895i
$226$	10.3284			0.687036
$227$	1.00380	−	4.72253i	0.0666248	−	0.313445i	−0.932198	−	0.361948i	$-0.882112\pi$
$227$	1.00380	−	4.72253i	0.0666248	−	0.313445i	0.998823	+	0.0485030i	$0.0154451\pi$
$228$	10.9313	−	1.14893i	0.723944	−	0.0760896i
$229$	16.8745	−	12.2600i	1.11510	−	0.810165i	0.131638	−	0.991298i	$-0.457976\pi$
$229$	16.8745	−	12.2600i	1.11510	−	0.810165i	0.983459	+	0.181132i	$0.0579762\pi$
$230$	−17.4130	+	36.3904i	−1.14818	+	2.39951i
$231$	0.263785	−	2.50975i	0.0173558	−	0.165129i
$232$	−22.5464	+	13.0172i	−1.48025	+	0.854620i
$233$	5.76022	−	7.92827i	0.377365	−	0.519398i	−0.577519	−	0.816377i	$-0.695979\pi$
$233$	5.76022	−	7.92827i	0.377365	−	0.519398i	0.954884	+	0.296979i	$0.0959792\pi$
$234$	0.166498	−	8.45175i	0.0108843	−	0.552508i
$235$	−1.29645	−	16.7393i	−0.0845711	−	1.09195i
$236$	14.9300	−	16.5815i	0.971862	−	1.07936i
$237$	1.09356	+	5.14480i	0.0710345	+	0.334191i
$238$	2.20659	−	1.98682i	0.143032	−	0.128787i
$239$	5.43008	+	16.7121i	0.351243	+	1.08101i	0.958156	+	0.286247i	$0.0924076\pi$
$239$	5.43008	+	16.7121i	0.351243	+	1.08101i	−0.606913	+	0.794768i	$0.707592\pi$
$240$	−1.90274	+	2.00007i	−0.122821	+	0.129104i
$241$	10.0590	+	11.1717i	0.647960	+	0.719632i	0.974208	−	0.225652i	$-0.0724512\pi$
$241$	10.0590	+	11.1717i	0.647960	+	0.719632i	−0.326248	+	0.945284i	$0.605785\pi$
$242$	6.51979	−	8.97372i	0.419108	−	0.576853i
$243$	0.866025	+	0.500000i	0.0555556	+	0.0320750i
$244$	4.75109	−	45.2036i	0.304157	−	2.89386i
$245$	0.366922	−	13.3759i	0.0234418	−	0.854555i
$246$	−0.207087	+	0.150457i	−0.0132034	+	0.00959280i
$247$	−10.4420	+	4.40474i	−0.664409	+	0.280267i
$248$	11.2433	−	3.65317i	0.713950	−	0.231976i
$249$	6.97614	+	12.0830i	0.442095	+	0.765731i
$250$	19.0814	−	17.9726i	1.20681	−	1.13669i
$251$	7.56110	−	13.0962i	0.477253	−	0.826626i	−0.522408	−	0.852696i	$-0.674966\pi$
$251$	7.56110	−	13.0962i	0.477253	−	0.826626i	0.999660	+	0.0260703i	$0.00829937\pi$
$252$	−3.35203	+	1.08914i	−0.211158	+	0.0686095i
$253$	19.1613	−	2.01393i	1.20466	−	0.126615i
$254$	2.93170	+	27.8933i	0.183951	+	1.75018i
$255$	−2.39381	−	1.47103i	−0.149906	−	0.0921197i
$256$	−21.1122	+	9.39975i	−1.31951	+	0.587484i
$257$	−13.9230	+	8.03844i	−0.868492	+	0.501424i	−0.866847	−	0.498575i	$-0.833857\pi$
$257$	−13.9230	+	8.03844i	−0.868492	+	0.501424i	−0.00164506	+	0.999999i	$0.500524\pi$
$258$	−5.77153	−	0.606613i	−0.359320	−	0.0377661i
$259$	−3.26425	+	10.0463i	−0.202830	+	0.624248i
$260$	12.6676	−	25.1868i	0.785611	−	1.56202i
$261$	2.29231	+	7.05502i	0.141891	+	0.436695i
$262$	−6.17526	−	29.0523i	−0.381509	−	1.79486i
$263$	2.07889	+	9.78040i	0.128190	+	0.603085i	0.994603	+	0.103757i	$0.0330864\pi$
$263$	2.07889	+	9.78040i	0.128190	+	0.603085i	−0.866413	+	0.499328i	$0.833580\pi$
$264$	8.59523	+	1.82697i	0.529000	+	0.112442i
$265$	−1.38883	−	17.9321i	−0.0853150	−	1.10156i
$266$	4.97006	+	5.51981i	0.304734	+	0.338441i
$267$	−3.55248	−	7.97900i	−0.217408	−	0.488307i
$268$			17.9210i			1.09470i
$269$	13.8110	−	6.14907i	0.842073	−	0.374915i	0.0600735	−	0.998194i	$-0.480866\pi$
$269$	13.8110	−	6.14907i	0.842073	−	0.374915i	0.782000	+	0.623279i	$0.214200\pi$
$270$	2.96404	+	4.32423i	0.180386	+	0.263164i
$271$	−26.7688	−	11.9182i	−1.62609	−	0.723981i	−0.627579	−	0.778553i	$-0.715954\pi$
$271$	−26.7688	−	11.9182i	−1.62609	−	0.723981i	−0.998510	+	0.0545719i	$0.982621\pi$
$272$	0.911807	+	1.25499i	0.0552864	+	0.0760952i
$273$	2.98150	−	2.07771i	0.180448	−	0.125749i
$274$	16.7561			1.01227
$275$	−12.0843	−	3.27024i	−0.728710	−	0.197203i
$276$	−13.4545	−	23.3038i	−0.809864	−	1.40273i
$277$	1.74093	−	8.19042i	0.104602	−	0.492114i	−0.894392	−	0.447283i	$-0.852392\pi$
$277$	1.74093	−	8.19042i	0.104602	−	0.492114i	0.998995	−	0.0448313i	$-0.0142750\pi$
$278$	2.88955	+	3.97712i	0.173303	+	0.238532i
$279$	−0.352101	−	3.35001i	−0.0210797	−	0.200560i
$280$	−7.84070	−	1.04218i	−0.468571	−	0.0622821i
$281$	−6.95584	−	5.05372i	−0.414951	−	0.301479i	0.360652	−	0.932700i	$-0.382554\pi$
$281$	−6.95584	−	5.05372i	−0.414951	−	0.301479i	−0.775603	+	0.631221i	$0.782554\pi$
$282$	15.2455	+	8.80200i	0.907857	+	0.524152i
$283$	−3.98836	−	0.419194i	−0.237083	−	0.0249185i	−0.0147585	−	0.999891i	$-0.504698\pi$
$283$	−3.98836	−	0.419194i	−0.237083	−	0.0249185i	−0.222325	+	0.974973i	$0.571365\pi$
$284$	9.27760	−	1.97202i	0.550524	−	0.117018i
$285$	3.67981	−	5.98815i	0.217973	−	0.354708i
$286$	−21.0891	+	1.79738i	−1.24702	+	0.106281i
$287$	−0.104655	−	0.0340044i	−0.00617758	−	0.00200722i
$288$	0.857567	+	4.03454i	0.0505326	+	0.237737i
$289$	10.3188	−	11.4601i	0.606986	−	0.674126i
$290$	−5.12413	+	38.5508i	−0.300900	+	2.26378i
$291$	4.57040	−	14.0662i	0.267921	−	0.824577i
$292$	11.7371	+	26.3621i	0.686864	+	1.54272i
$293$	−1.01238	−	0.584495i	−0.0591436	−	0.0341466i	0.470137	−	0.882594i	$-0.344205\pi$
$293$	−1.01238	−	0.584495i	−0.0591436	−	0.0341466i	−0.529280	+	0.848447i	$0.677538\pi$
$294$	11.3506	+	8.24669i	0.661980	+	0.480957i
$295$	−2.58259	−	14.0319i	−0.150364	−	0.816968i
$296$	−33.6022	−	14.9607i	−1.95309	−	0.869572i
$297$	1.01838	−	2.28733i	0.0590926	−	0.132724i
$298$	−0.960677	+	0.312143i	−0.0556505	+	0.0180820i
$299$	20.2489	+	18.9675i	1.17102	+	1.09692i
$300$	2.69219	+	17.2760i	0.155433	+	0.997433i
$301$	−1.24740	−	2.16056i	−0.0718989	−	0.124532i
$302$	5.65391	+	5.09081i	0.325346	+	0.292943i
$303$	15.5177	−	1.63097i	0.891468	−	0.0936971i
$304$	−3.13938	+	2.28089i	−0.180056	+	0.130818i
$305$	−21.0575	−	20.0327i	−1.20575	−	1.14707i
$306$	2.69129	−	1.19824i	0.153851	−	0.0684989i
$307$			24.5787i			1.40278i	0.712777	+	0.701390i	$0.247437\pi$
$307$			24.5787i			1.40278i	−0.712777	+	0.701390i	$0.752563\pi$
$308$	3.58933	+	8.06177i	0.204521	+	0.459362i
$309$	16.7787	−	3.56642i	0.954506	−	0.202887i
$310$	5.91555	−	16.6392i	0.335981	−	0.945041i
$311$	4.72845	+	14.5527i	0.268126	+	0.825206i	0.990957	+	0.134181i	$0.0428405\pi$
$311$	4.72845	+	14.5527i	0.268126	+	0.825206i	−0.722831	+	0.691025i	$0.757160\pi$
$312$	6.10992	+	11.0811i	0.345906	+	0.627347i
$313$	−21.1542	−	6.87342i	−1.19571	−	0.388509i	−0.357527	−	0.933903i	$-0.616380\pi$
$313$	−21.1542	−	6.87342i	−1.19571	−	0.388509i	−0.838180	+	0.545394i	$0.816380\pi$
$314$	−19.1525	+	21.2710i	−1.08084	+	1.20039i
$315$	−0.754956	+	2.12352i	−0.0425369	+	0.119647i
$316$	−12.3072	−	13.6685i	−0.692335	−	0.768916i
$317$	17.5520	−	24.1583i	0.985821	−	1.35687i	0.0521871	−	0.998637i	$-0.483381\pi$
$317$	17.5520	−	24.1583i	0.985821	−	1.35687i	0.933634	−	0.358229i	$-0.116619\pi$
$318$	16.3318	+	9.42918i	0.915843	+	0.528762i
$319$	16.9676	−	7.55446i	0.950003	−	0.422968i
$320$	−6.36973	+	26.3871i	−0.356079	+	1.47508i
$321$	0.967581	+	9.20592i	0.0540051	+	0.513824i
$322$	7.39610	−	16.6119i	0.412168	−	0.925745i
$323$	−2.93507	−	2.64275i	−0.163312	−	0.147047i
$324$	−3.49691			−0.194273
$325$	−7.82606	−	16.2405i	−0.434112	−	0.900859i
$326$	0.164666			0.00912003
$327$	−3.78242	−	3.40571i	−0.209168	−	0.188336i
$328$	0.155849	−	0.350042i	0.00860531	−	0.0193278i
$329$	0.791051	+	7.52634i	0.0436120	+	0.414941i
$330$	9.99192	−	8.51242i	0.550037	−	0.468593i
$331$	12.4225	−	5.53085i	0.682802	−	0.304003i	−0.0358656	−	0.999357i	$-0.511419\pi$
$331$	12.4225	−	5.53085i	0.682802	−	0.304003i	0.718668	+	0.695353i	$0.244752\pi$
$332$	−42.2533	−	24.3949i	−2.31895	−	1.33885i
$333$	−6.16030	+	8.47892i	−0.337582	+	0.464642i
$334$	−5.26327	−	5.84546i	−0.287994	−	0.319849i
$335$	9.08268	+	6.98737i	0.496240	+	0.381761i
$336$	0.832609	−	0.924706i	0.0454225	−	0.0504469i
$337$	−31.7761	−	10.3247i	−1.73095	−	0.562421i	−0.737366	−	0.675493i	$-0.763931\pi$
$337$	−31.7761	−	10.3247i	−1.73095	−	0.562421i	−0.993587	+	0.113072i	$0.963931\pi$
$338$	−21.8296	−	21.2708i	−1.18737	−	1.15698i
$339$	1.36131	+	4.18968i	0.0739362	+	0.227552i
$340$	9.82150	+	0.269419i	0.532645	+	0.0146113i
$341$	−8.24964	+	1.75351i	−0.446743	+	0.0949581i
$342$	2.99741	+	6.73230i	0.162081	+	0.364041i
$343$			13.0867i			0.706616i
$344$	7.93602	−	3.53335i	0.427882	−	0.190505i
$345$	−17.0567	−	2.26716i	−0.918300	−	0.122060i
$346$	−5.64886	+	4.10414i	−0.303684	+	0.220640i
$347$	−12.1230	+	1.27418i	−0.650799	+	0.0684017i	−0.424174	−	0.905581i	$-0.639436\pi$
$347$	−12.1230	+	1.27418i	−0.650799	+	0.0684017i	−0.226624	+	0.973982i	$0.572769\pi$
$348$	−19.2775	−	17.3575i	−1.03338	−	0.930460i
$349$	6.57931	+	11.3957i	0.352183	+	0.609998i	0.986632	−	0.162967i	$-0.0521063\pi$
$349$	6.57931	+	11.3957i	0.352183	+	0.609998i	−0.634449	+	0.772965i	$0.718773\pi$
$350$	−8.37549	+	8.33390i	−0.447689	+	0.445465i
$351$	3.45036	−	1.04642i	0.184167	−	0.0558538i
$352$	9.82186	−	3.19132i	0.523507	−	0.170098i
$353$	−14.5400	+	32.6573i	−0.773884	+	1.73817i	−0.105419	+	0.994428i	$0.533619\pi$
$353$	−14.5400	+	32.6573i	−0.773884	+	1.73817i	−0.668465	+	0.743744i	$0.733048\pi$
$354$	13.6664	+	6.08468i	0.726362	+	0.323397i
$355$	2.61787	−	5.47094i	0.138942	−	0.290367i
$356$	24.7093	+	17.9524i	1.30959	+	0.951473i
$357$	1.09678	+	0.633227i	0.0580478	+	0.0335139i
$358$	0.910084	+	2.04408i	0.0480994	+	0.108033i
$359$	5.77972	−	17.7881i	0.305042	−	0.938822i	−0.674620	−	0.738165i	$-0.735692\pi$
$359$	5.77972	−	17.7881i	0.305042	−	0.938822i	0.979662	−	0.200657i	$-0.0643076\pi$
$360$	−7.07897	−	3.38732i	−0.373094	−	0.178527i
$361$	−6.10261	+	6.77764i	−0.321190	+	0.356718i
$362$	9.35742	+	44.0232i	0.491815	+	2.31381i
$363$	4.49948	+	1.46197i	0.236161	+	0.0767334i
$364$	−5.39642	+	11.5052i	−0.282849	+	0.603036i
$365$	17.9371	+	4.32993i	0.938868	+	0.226639i
$366$	29.8083	−	6.33596i	1.55811	−	0.331186i
$367$	20.9180	+	2.19857i	1.09191	+	0.114764i	0.633325	−	0.773886i	$-0.281690\pi$
$367$	20.9180	+	2.19857i	1.09191	+	0.114764i	0.458586	+	0.888650i	$0.348356\pi$
$368$	8.22726	+	4.75001i	0.428876	+	0.247612i
$369$	−0.0883268	−	0.0641732i	−0.00459811	−	0.00334072i
$370$	−48.3191	+	26.1573i	−2.51199	+	1.35985i
$371$	0.847416	+	8.06262i	0.0439956	+	0.418591i
$372$	6.92366	+	9.52959i	0.358975	+	0.494086i
$373$	1.12239	−	5.28044i	0.0581153	−	0.273411i	−0.939490	−	0.342577i	$-0.888700\pi$
$373$	1.12239	−	5.28044i	0.0581153	−	0.273411i	0.997605	+	0.0691657i	$0.0220337\pi$
$374$	−3.68807	−	6.38792i	−0.190705	−	0.330312i
$375$	9.80548	+	5.37145i	0.506353	+	0.277381i
$376$	−26.3516			−1.35898
$377$	24.2149	+	11.3578i	1.24713	+	0.584958i
$378$	−1.38898	−	1.91177i	−0.0714414	−	0.0983306i
$379$	14.5618	+	6.48335i	0.747991	+	0.333027i	0.745086	−	0.666969i	$-0.232408\pi$
$379$	14.5618	+	6.48335i	0.747991	+	0.333027i	0.00290554	+	0.999996i	$0.499075\pi$
$380$	−0.673955	+	24.5686i	−0.0345732	+	1.26034i
$381$	−10.9284	+	4.86564i	−0.559879	+	0.249274i
$382$			42.2723i			2.16284i
$383$	−9.17281	−	20.6025i	−0.468709	−	1.05274i	−0.981015	−	0.193934i	$-0.937875\pi$
$383$	−9.17281	−	20.6025i	−0.468709	−	1.05274i	0.512306	−	0.858803i	$-0.328791\pi$
$384$	−13.5249	−	15.0209i	−0.690187	−	0.766531i
$385$	5.48532	+	1.32413i	0.279558	+	0.0674841i
$386$	22.3000	+	4.74001i	1.13504	+	0.241260i
$387$	−0.514632	−	2.42115i	−0.0261602	−	0.123074i
$388$	10.7531	+	50.5895i	0.545907	+	2.56829i
$389$	−10.0957	−	31.0713i	−0.511871	−	1.57538i	−0.788905	−	0.614515i	$-0.789352\pi$
$389$	−10.0957	−	31.0713i	−0.511871	−	1.57538i	0.277034	−	0.960860i	$-0.410648\pi$
$390$	18.6849	+	2.85915i	0.946145	+	0.144779i
$391$	−2.98790	+	9.19581i	−0.151105	+	0.465052i
$392$	−20.8868	−	2.19529i	−1.05494	−	0.110879i
$393$	10.9710	−	6.33413i	0.553415	−	0.319514i
$394$	−21.9766	+	9.78460i	−1.10716	+	0.492941i
$395$	−11.7260	+	0.908173i	−0.590000	+	0.0456951i
$396$	0.915203	+	8.70757i	0.0459907	+	0.437572i
$397$	−8.45020	+	0.888152i	−0.424104	+	0.0445751i	−0.314177	−	0.949365i	$-0.601728\pi$
$397$	−8.45020	+	0.888152i	−0.424104	+	0.0445751i	−0.109927	+	0.993940i	$0.535062\pi$
$398$	28.0430	−	9.11172i	1.40567	−	0.456729i
$399$	−1.58402	+	2.74361i	−0.0793003	+	0.137352i
$400$	−3.87272	−	4.80683i	−0.193636	−	0.240341i
$401$	7.78732	+	13.4880i	0.388880	+	0.673560i	0.992299	−	0.123864i	$-0.0395287\pi$
$401$	7.78732	+	13.4880i	0.388880	+	0.673560i	−0.603419	+	0.797424i	$0.706195\pi$
$402$	−11.4273	+	3.71295i	−0.569942	+	0.185185i
$403$	−9.68314	−	7.33090i	−0.482352	−	0.365178i
$404$	−44.1423	+	32.0712i	−2.19616	+	1.59560i
$405$	−1.36344	+	1.77230i	−0.0677498	+	0.0880661i
$406$	1.83233	−	17.4334i	0.0909369	−	0.865207i
$407$	22.7254	+	13.1205i	1.12646	+	0.650360i
$408$	−2.59206	+	3.56767i	−0.128326	+	0.176626i
$409$	−17.8087	−	19.7785i	−0.880581	−	0.977985i	0.119308	−	0.992857i	$-0.461932\pi$
$409$	−17.8087	−	19.7785i	−0.880581	−	0.977985i	−0.999889	+	0.0148727i	$0.995266\pi$
$410$	−0.272487	−	0.503351i	−0.0134572	−	0.0248587i
$411$	2.20850	+	6.79705i	0.108937	+	0.335274i
$412$	−44.5771	+	40.1374i	−2.19615	+	1.97743i
$413$	1.33709	+	6.29053i	0.0657941	+	0.309537i
$414$	12.0721	−	13.4074i	0.593311	−	0.658938i
$415$	−28.8383	+	11.9032i	−1.41561	+	0.584303i
$416$	12.7303	+	7.68808i	0.624155	+	0.376939i
$417$	−1.23245	+	1.69633i	−0.0603535	+	0.0830694i
$418$	15.9795	−	9.22574i	0.781581	−	0.451246i
$419$	−1.86546	+	17.7487i	−0.0911337	+	0.867079i	0.849485	+	0.527613i	$0.176913\pi$
$419$	−1.86546	+	17.7487i	−0.0911337	+	0.867079i	−0.940618	+	0.339466i	$0.889754\pi$
$420$	−1.42657	−	7.75092i	−0.0696095	−	0.378206i
$421$	24.4777	−	17.7841i	1.19297	−	0.866742i	0.199394	−	0.979919i	$-0.436103\pi$
$421$	24.4777	−	17.7841i	1.19297	−	0.866742i	0.993575	+	0.113177i	$0.0361028\pi$
$422$	34.6353	−	3.64032i	1.68602	−	0.177208i
$423$	−1.56110	+	7.34440i	−0.0759033	+	0.357097i
$424$	−28.2293			−1.37093
$425$	3.96593	−	4.87266i	0.192376	−	0.236359i
$426$	3.17963	+	5.50728i	0.154053	+	0.266828i
$427$	9.73566	+	8.76602i	0.471141	+	0.424218i
$428$	−19.0264	−	26.1875i	−0.919674	−	1.26582i
$429$	−3.50869	−	8.31780i	−0.169401	−	0.401587i
$430$	3.04504	−	12.6143i	0.146845	−	0.608316i
$431$	−0.472379	+	4.49438i	−0.0227537	+	0.216487i	0.977237	+	0.212151i	$0.0680468\pi$
$431$	−0.472379	+	4.49438i	−0.0227537	+	0.216487i	−0.999991	+	0.00433593i	$0.998620\pi$
$432$	1.06916	−	0.617281i	0.0514400	−	0.0296989i
$433$	2.19850	+	4.93792i	0.105653	+	0.237301i	0.958634	−	0.284641i	$-0.0918743\pi$
$433$	2.19850	+	4.93792i	0.105653	+	0.237301i	−0.852981	+	0.521942i	$0.825208\pi$
$434$	−2.45975	+	7.57034i	−0.118072	+	0.363388i
$435$	−16.3133	+	3.00250i	−0.782165	+	0.143959i
$436$	17.4095	+	3.70049i	0.833762	+	0.177221i
$437$	−23.0034	−	7.47426i	−1.10040	−	0.357543i
$438$	−14.3780	+	12.9460i	−0.687006	+	0.618583i
$439$	16.0403	−	17.8145i	0.765560	−	0.850240i	−0.226759	−	0.973951i	$-0.572813\pi$
$439$	16.0403	−	17.8145i	0.765560	−	0.850240i	0.992318	+	0.123711i	$0.0394795\pi$
$440$	−6.58199	+	18.5137i	−0.313784	+	0.882606i
$441$	−1.84920	+	5.69125i	−0.0880571	+	0.271012i
$442$	3.48068	−	10.0354i	0.165559	−	0.477336i
$443$			25.4039i			1.20698i	0.797372	+	0.603488i	$0.206223\pi$
$443$			25.4039i			1.20698i	−0.797372	+	0.603488i	$0.793777\pi$
$444$	3.83091	−	36.4487i	0.181807	−	1.72978i
$445$	18.7327	−	5.52352i	0.888015	−	0.261840i
$446$	−5.23431	−	49.8011i	−0.247852	−	2.35815i
$447$	−0.253239	−	0.348554i	−0.0119778	−	0.0164860i
$448$	2.54391	−	11.9681i	0.120188	−	0.565442i
$449$	6.84458	−	11.8552i	0.323016	−	0.559479i	−0.658093	−	0.752937i	$-0.728637\pi$
$449$	6.84458	−	11.8552i	0.323016	−	0.559479i	0.981109	+	0.193457i	$0.0619700\pi$
$450$	−10.4583	+	5.29599i	−0.493007	+	0.249656i
$451$	−0.136679	+	0.236736i	−0.00643598	+	0.0111475i
$452$	−11.4481	−	10.3079i	−0.538472	−	0.484843i
$453$	−1.31987	+	2.96447i	−0.0620127	+	0.139283i
$454$	−9.15771	+	6.65347i	−0.429793	+	0.312263i
$455$	3.72698	+	7.22086i	0.174723	+	0.338519i
$456$	−8.92456	−	6.48407i	−0.417931	−	0.303644i
$457$	4.65709	−	2.68877i	0.217849	−	0.125775i	−0.387105	−	0.922036i	$-0.626525\pi$
$457$	4.65709	−	2.68877i	0.217849	−	0.125775i	0.604954	+	0.796260i	$0.293191\pi$
$458$	−48.6347	−	5.11172i	−2.27255	−	0.238855i
$459$	0.840780	+	0.933781i	0.0392443	+	0.0435852i
$460$	55.6187	−	22.9569i	2.59323	−	1.07037i
$461$	10.9331	+	2.32390i	0.509205	+	0.108235i	0.455348	−	0.890314i	$-0.349515\pi$
$461$	10.9331	+	2.32390i	0.509205	+	0.108235i	0.0538576	+	0.998549i	$0.482848\pi$
$462$	−4.39692	+	3.95900i	−0.204563	+	0.184190i
$463$	21.1531	+	6.87307i	0.983069	+	0.319419i	0.756080	−	0.654479i	$-0.227112\pi$
$463$	21.1531	+	6.87307i	0.983069	+	0.319419i	0.226989	+	0.973897i	$0.427112\pi$
$464$	8.95796	+	1.90407i	0.415863	+	0.0883943i
$465$	7.52929	+	0.206540i	0.349162	+	0.00957808i
$466$	−22.4742	+	4.77704i	−1.04110	+	0.221292i
$467$	21.3491	−	29.3845i	0.987918	−	1.35975i	0.0554647	−	0.998461i	$-0.482336\pi$
$467$	21.3491	−	29.3845i	0.987918	−	1.35975i	0.932453	−	0.361291i	$-0.117664\pi$
$468$	−8.61950	+	9.20180i	−0.398437	+	0.425353i
$469$	−4.17881	−	3.03609i	−0.192960	−	0.140193i
$470$	−24.0020	+	31.1995i	−1.10713	+	1.43913i
$471$	−11.1528	−	4.96556i	−0.513895	−	0.228801i
$472$	−22.2707	+	2.34075i	−1.02509	+	0.107742i
$473$	−5.89416	+	1.91513i	−0.271014	+	0.0880577i
$474$	6.16586	−	10.6796i	0.283207	−	0.490529i
$475$	12.1890	+	9.92082i	0.559270	+	0.455198i
$476$	−4.42867			−0.202988
$477$	−1.67234	+	7.86772i	−0.0765710	+	0.360238i
$478$	16.7570	−	37.6369i	0.766448	−	1.72147i
$479$	12.0161	+	5.34990i	0.549028	+	0.244443i	0.662453	−	0.749103i	$-0.269515\pi$
$479$	12.0161	+	5.34990i	0.549028	+	0.244443i	−0.113425	+	0.993547i	$0.536182\pi$
$480$	−9.19550	+	0.712186i	−0.419715	+	0.0325067i
$481$	7.12704	+	37.1099i	0.324965	+	1.69206i
$482$		−	35.2456i		−	1.60539i
$483$	7.71337	+	0.810708i	0.350971	+	0.0368885i
$484$	−16.1825	+	3.43969i	−0.735566	+	0.156349i
$485$	29.8323	+	14.2749i	1.35461	+	0.648189i
$486$	−0.724506	−	2.22980i	−0.0328642	−	0.101146i
$487$	10.8353	−	9.75613i	0.490993	−	0.442093i	−0.386068	−	0.922470i	$-0.626167\pi$
$487$	10.8353	−	9.75613i	0.490993	−	0.442093i	0.877062	+	0.480378i	$0.159500\pi$
$488$	−33.9002	+	30.5239i	−1.53459	+	1.38175i
$489$	0.0217034	+	0.0667962i	0.000981462	+	0.00302063i
$490$	−21.6236	+	22.7297i	−0.976852	+	1.02682i
$491$	−14.8829	+	3.16347i	−0.671657	+	0.142765i	−0.531102	−	0.847308i	$-0.678222\pi$
$491$	−14.8829	+	3.16347i	−0.671657	+	0.142765i	−0.140555	+	0.990073i	$0.544889\pi$
$492$	0.379694	+	0.0399075i	0.0171179	+	0.00179917i
$493$			9.32102i			0.419798i
$494$	25.1037	+	8.70697i	1.12947	+	0.391745i
$495$	4.76999	+	2.93123i	0.214395	+	0.131749i
$496$	−3.79905	−	1.69145i	−0.170582	−	0.0759482i
$497$	−1.11193	+	2.49744i	−0.0498769	+	0.112025i
$498$	6.80117	−	31.9970i	0.304768	−	1.43382i
$499$	−17.2728			−0.773235			−0.386618	−	0.922240i	$-0.626357\pi$
$499$	−17.2728			−0.773235			−0.386618	+	0.922240i	$0.626357\pi$
$500$	−39.0868	+	0.877474i	−1.74801	+	0.0392418i
$501$	1.67747	−	2.90547i	0.0749440	−	0.129807i
$502$	−33.7195	+	10.9561i	−1.50497	+	0.488996i
$503$	−30.1818	+	3.17223i	−1.34574	+	0.141443i	−0.749842	−	0.661617i	$-0.769870\pi$
$503$	−30.1818	+	3.17223i	−1.34574	+	0.141443i	−0.595898	+	0.803060i	$0.703204\pi$
$504$	3.23149	+	1.43875i	0.143942	+	0.0640871i
$505$	−0.956721	+	34.8766i	−0.0425735	+	1.55199i
$506$	−36.5449	−	26.5515i	−1.62462	−	1.18036i
$507$	5.75121	−	11.6586i	0.255420	−	0.517778i
$508$	24.5884	−	33.8430i	1.09093	−	1.50154i
$509$	−2.09014	+	0.444272i	−0.0926436	+	0.0196920i	−0.254000	−	0.967204i	$-0.581746\pi$
$509$	−2.09014	+	0.444272i	−0.0926436	+	0.0196920i	0.161357	+	0.986896i	$0.448413\pi$
$510$	1.86307	+	6.31848i	0.0824980	+	0.279787i
$511$	−8.13555	−	1.72926i	−0.359895	−	0.0764981i
$512$	13.0844	+	4.25138i	0.578254	+	0.187886i
$513$	−2.33586	+	2.10322i	−0.103131	+	0.0928594i
$514$	36.8693	+	7.83682i	1.62624	+	0.345667i
$515$	2.96181	+	38.2419i	0.130513	+	1.68514i
$516$	5.79179	+	6.43244i	0.254969	+	0.283172i
$517$	18.6967	+	1.96510i	0.822279	+	0.0864250i
$518$	21.4482	−	12.3831i	0.942379	−	0.544083i
$519$	−2.40936	−	1.75050i	−0.105759	−	0.0768385i
$520$	−26.3623	+	10.2783i	−1.15606	+	0.450733i
$521$	19.3810	−	14.0811i	0.849098	−	0.616906i	−0.0757990	−	0.997123i	$-0.524151\pi$
$521$	19.3810	−	14.0811i	0.849098	−	0.616906i	0.924897	+	0.380217i	$0.124151\pi$
$522$	7.07399	−	15.8884i	0.309620	−	0.695418i
$523$	−21.8596	−	19.6825i	−0.955855	−	0.860655i	0.0344729	−	0.999406i	$-0.489025\pi$
$523$	−21.8596	−	19.6825i	−0.955855	−	0.860655i	−0.990327	+	0.138750i	$0.955691\pi$
$524$	−22.1499	+	38.3647i	−0.967622	+	1.67597i
$525$	−4.48452	−	2.29906i	−0.195720	−	0.100339i
$526$	11.7215	−	20.3021i	0.511080	−	0.885216i
$527$	0.880000	−	4.14007i	0.0383334	−	0.180344i
$528$	−1.81689	−	2.50074i	−0.0790701	−	0.108831i
$529$	3.78539	+	36.0156i	0.164582	+	1.56590i
$530$	−25.7122	+	33.4226i	−1.11687	+	1.45178i
$531$	−0.666960	+	6.34570i	−0.0289436	+	0.275380i
$532$		−	11.0784i		−	0.480308i
$533$	−0.386582	+	0.0742440i	−0.0167447	+	0.00321587i
$534$	−6.32791	+	19.4753i	−0.273835	+	0.842778i
$535$	−20.6907	−	0.567578i	−0.894535	−	0.0245385i
$536$	12.0349	−	13.3662i	0.519830	−	0.577330i
$537$	−0.709222	+	0.638587i	−0.0306052	+	0.0275570i
$538$	−33.7102	−	10.9531i	−1.45335	−	0.472222i
$539$	14.6556	+	3.11515i	0.631262	+	0.134179i
$540$	1.03028	−	7.75116i	0.0443360	−	0.333557i
$541$	−0.596662	+	1.83634i	−0.0256525	+	0.0789502i	−0.963063	−	0.269276i	$-0.913216\pi$
$541$	−0.596662	+	1.83634i	−0.0256525	+	0.0789502i	0.937411	+	0.348226i	$0.113216\pi$
$542$	27.9429	+	62.7608i	1.20025	+	2.69581i
$543$	−16.6245	+	9.59816i	−0.713425	+	0.411896i
$544$	−0.541745	+	5.15436i	−0.0232271	+	0.220992i
$545$	8.66339	−	7.38060i	0.371099	−	0.316150i
$546$	−8.45432	−	1.05732i	−0.361811	−	0.0452492i
$547$	−22.1651	−	30.5076i	−0.947711	−	1.30441i	−0.952537	−	0.304424i	$-0.901536\pi$
$547$	−22.1651	−	30.5076i	−0.947711	−	1.30441i	0.00482582	−	0.999988i	$-0.498464\pi$
$548$	−18.5726	−	16.7228i	−0.793382	−	0.714364i
$549$	6.49896	+	11.2565i	0.277369	+	0.480417i
$550$	15.9245	+	24.6558i	0.679024	+	1.05133i
$551$	−23.3166			−0.993322
$552$	−5.61495	+	26.4163i	−0.238988	+	1.12435i
$553$	5.27225	−	0.554136i	0.224199	−	0.0235643i
$554$	−15.8825	+	11.5393i	−0.674782	+	0.490258i
$555$	−16.9792	−	16.1528i	−0.720726	−	0.685650i
$556$	0.766427	−	7.29206i	0.0325037	−	0.309252i
$557$	1.08854	−	0.628469i	0.0461229	−	0.0266291i	−0.476761	−	0.879033i	$-0.658189\pi$
$557$	1.08854	−	0.628469i	0.0461229	−	0.0266291i	0.522884	+	0.852404i	$0.324856\pi$
$558$	−4.64205	+	6.38924i	−0.196514	+	0.270478i
$559$	−7.63955	−	4.61367i	−0.323119	−	0.195137i
$560$	1.80437	+	2.11798i	0.0762486	+	0.0895010i
$561$	2.10514	−	2.33799i	0.0888790	−	0.0987101i
$562$	4.19112	+	19.7177i	0.176792	+	0.831740i
$563$	−0.745227	+	0.671005i	−0.0314076	+	0.0282795i	−0.684685	−	0.728839i	$-0.740060\pi$
$563$	−0.745227	+	0.671005i	−0.0314076	+	0.0282795i	0.653277	+	0.757119i	$0.273394\pi$
$564$	−8.11370	−	24.9714i	−0.341648	−	1.05149i
$565$	−9.68781	+	1.78306i	−0.407569	+	0.0750139i
$566$	6.29145	+	6.98736i	0.264449	+	0.293701i
$567$	0.592429	−	0.815409i	0.0248797	−	0.0342439i
$568$	−8.24390	−	4.75962i	−0.345906	−	0.199709i
$569$	3.00185	−	28.5607i	0.125844	−	1.19733i	−0.731229	−	0.682132i	$-0.761053\pi$
$569$	3.00185	−	28.5607i	0.125844	−	1.19733i	0.857073	−	0.515195i	$-0.172280\pi$
$570$	−15.8057	+	4.66048i	−0.662030	+	0.195206i
$571$	34.7647	−	25.2580i	1.45486	−	1.05701i	0.470190	−	0.882565i	$-0.344185\pi$
$571$	34.7647	−	25.2580i	1.45486	−	1.05701i	0.984666	−	0.174449i	$-0.0558146\pi$
$572$	25.1691	+	19.0549i	1.05237	+	0.796727i
$573$	−17.1476	+	5.57159i	−0.716351	+	0.232757i
$574$	0.128998	+	0.223431i	0.00538426	+	0.00932581i
$575$	10.0506	−	37.1394i	0.419141	−	1.54882i
$576$	6.06981	−	10.5132i	0.252909	−	0.438051i
$577$	−36.4787	+	11.8526i	−1.51863	+	0.493432i	−0.945385	−	0.325955i	$-0.894314\pi$
$577$	−36.4787	+	11.8526i	−1.51863	+	0.493432i	−0.573241	+	0.819387i	$0.694314\pi$
$578$	−35.9576	+	3.77929i	−1.49564	+	0.157198i
$579$	1.01643	+	9.67064i	0.0422412	+	0.401898i
$580$	44.1538	−	37.6159i	1.83339	−	1.56192i
$581$	12.8467	−	5.71974i	0.532973	−	0.237295i
$582$	−30.0304	+	17.3381i	−1.24480	+	0.718686i
$583$	20.0289	+	2.10512i	0.829512	+	0.0871852i
$584$	8.94957	−	27.5439i	0.370336	−	1.13978i
$585$	1.30291	+	7.95628i	0.0538685	+	0.328952i
$586$	0.846940	+	2.60661i	0.0349868	+	0.107678i
$587$	3.88784	+	18.2908i	0.160468	+	0.754944i	0.982613	+	0.185665i	$0.0594440\pi$
$587$	3.88784	+	18.2908i	0.160468	+	0.754944i	−0.822145	+	0.569278i	$0.807223\pi$
$588$	−4.35076	−	20.4687i	−0.179422	−	0.844115i
$589$	10.3564	+	2.20133i	0.426730	+	0.0907042i
$590$	−17.5136	+	28.4999i	−0.721024	+	1.17332i
$591$	−6.86565	−	7.62507i	−0.282415	−	0.313654i
$592$	5.26270	+	11.8202i	0.216296	+	0.485808i
$593$		−	2.43851i		−	0.100137i	−0.998746	−	0.0500687i	$-0.984056\pi$
$593$		−	2.43851i		−	0.100137i	0.998746	−	0.0500687i	$-0.0159440\pi$
$594$	−5.36275	+	2.38765i	−0.220036	+	0.0979665i
$595$	−1.72673	+	2.24453i	−0.0707891	+	0.0920168i
$596$	1.37634	+	0.612787i	0.0563772	+	0.0251007i
$597$	7.39226	+	10.1746i	0.302545	+	0.416418i
$598$	−5.52400	−	64.8144i	−0.225893	−	2.65046i
$599$	−22.8998			−0.935661			−0.467830	−	0.883818i	$-0.654964\pi$
$599$	−22.8998			−0.935661			−0.467830	+	0.883818i	$0.654964\pi$
$600$	9.59388	−	14.6931i	0.391668	−	0.599842i
$601$	−14.2478	−	24.6778i	−0.581178	−	1.00663i	−0.995340	−	0.0964265i	$-0.969259\pi$
$601$	−14.2478	−	24.6778i	−0.581178	−	1.00663i	0.414162	−	0.910203i	$-0.364075\pi$
$602$	−1.21611	+	5.72136i	−0.0495650	+	0.233185i
$603$	−3.01229	−	4.14606i	−0.122670	−	0.168841i
$604$	−1.18614	−	11.2854i	−0.0482633	−	0.459195i
$605$	−4.56622	+	9.54268i	−0.185643	+	0.387965i
$606$	−29.5958	−	21.5026i	−1.20225	−	0.873483i
$607$	17.7079	+	10.2237i	0.718741	+	0.414965i	0.814289	−	0.580460i	$-0.197127\pi$
$607$	17.7079	+	10.2237i	0.718741	+	0.414965i	−0.0955482	+	0.995425i	$0.530460\pi$
$608$	−12.8937	−	1.35518i	−0.522908	−	0.0549599i
$609$	7.31331	−	1.55449i	0.296350	−	0.0629912i
$610$	5.26184	+	67.9391i	0.213046	+	2.75077i
$611$	15.4782	+	22.2110i	0.626180	+	0.898563i
$612$	−4.17890	−	1.35781i	−0.168922	−	0.0548861i
$613$	−6.37185	−	29.9772i	−0.257357	−	1.21077i	−0.896977	−	0.442077i	$-0.854242\pi$
$613$	−6.37185	−	29.9772i	−0.257357	−	1.21077i	0.639620	−	0.768691i	$-0.279092\pi$
$614$	38.5593	−	42.8244i	1.55613	−	1.72825i
$615$	0.168268	−	0.176876i	0.00678522	−	0.00713232i
$616$	2.73686	−	8.42320i	0.110271	−	0.339380i
$617$	0.734349	+	1.64938i	0.0295638	+	0.0664014i	0.927724	−	0.373267i	$-0.121763\pi$
$617$	0.734349	+	1.64938i	0.0295638	+	0.0664014i	−0.898160	+	0.439669i	$0.855096\pi$
$618$	−34.8292	−	20.1086i	−1.40104	−	0.808888i
$619$	−18.2051	−	13.2268i	−0.731727	−	0.531631i	0.158383	−	0.987378i	$-0.449372\pi$
$619$	−18.2051	−	13.2268i	−0.731727	−	0.531631i	−0.890109	+	0.455747i	$0.849372\pi$
$620$	−23.1629	+	12.5391i	−0.930245	+	0.503584i
$621$	7.02979	+	3.12986i	0.282096	+	0.125597i
$622$	14.5918	−	32.7737i	0.585078	−	1.31411i
$623$	−8.37225	+	2.72031i	−0.335427	+	0.108987i
$624$	1.01105	−	4.33493i	0.0404743	−	0.173536i
$625$	−14.7952	+	20.1520i	−0.591806	+	0.806080i
$626$	26.0747	+	45.1628i	1.04216	+	1.80507i
$627$	5.84851	+	5.26602i	0.233567	+	0.210305i
$628$	42.4574	−	4.46245i	1.69423	−	0.178071i
$629$	−10.6540	+	7.74057i	−0.424802	+	0.308637i
$630$	4.64680	−	2.51552i	0.185133	−	0.100221i
$631$	−19.1799	+	8.53946i	−0.763542	+	0.339951i	−0.751288	−	0.659974i	$-0.770567\pi$
$631$	−19.1799	+	8.53946i	−0.763542	+	0.339951i	−0.0122535	+	0.999925i	$0.503900\pi$
$632$			18.4595i			0.734279i
$633$	6.04169	+	13.5699i	0.240136	+	0.539354i
$634$	−68.4814	+	14.5562i	−2.71974	+	0.578099i
$635$	−7.56526	−	25.6571i	−0.300218	−	1.01817i
$636$	−8.69183	−	26.7507i	−0.344654	−	1.06073i
$637$	10.4179	+	18.8943i	0.412774	+	0.748620i
$638$	−41.4148	−	13.4565i	−1.63963	−	0.532747i
$639$	−1.81492	+	2.01567i	−0.0717972	+	0.0797388i
$640$	37.2796	−	25.5533i	1.47361	−	1.01008i
$641$	−13.0883	−	14.5360i	−0.516955	−	0.574137i	0.426983	−	0.904260i	$-0.359576\pi$
$641$	−13.0883	−	14.5360i	−0.516955	−	0.574137i	−0.943938	+	0.330123i	$0.892910\pi$
$642$	12.7565	−	17.5578i	0.503458	−	0.692950i
$643$	−0.810944	−	0.468199i	−0.0319805	−	0.0184640i	0.483925	−	0.875110i	$-0.339211\pi$
$643$	−0.810944	−	0.468199i	−0.0319805	−	0.0184640i	−0.515905	+	0.856646i	$0.672544\pi$
$644$	−24.7768	+	11.0313i	−0.976341	+	0.434695i
$645$	5.51828	−	0.427387i	0.217282	−	0.0168284i
$646$	0.967920	+	9.20914i	0.0380823	+	0.362329i
$647$	−5.81623	+	13.0635i	−0.228659	+	0.513578i	−0.991042	−	0.133549i	$-0.957363\pi$
$647$	−5.81623	+	13.0635i	−0.228659	+	0.513578i	0.762383	+	0.647126i	$0.224029\pi$
$648$	2.60813	+	2.34837i	0.102457	+	0.0922526i
$649$	15.9758			0.627106
$650$	−11.8425	+	40.5740i	−0.464503	+	1.59144i
$651$	−3.39508			−0.133064
$652$	−0.182517	−	0.164339i	−0.00714792	−	0.00643602i
$653$	−6.20301	+	13.9322i	−0.242742	+	0.545208i	−0.993296	−	0.115602i	$-0.963120\pi$
$653$	−6.20301	+	13.9322i	−0.242742	+	0.545208i	0.750553	+	0.660810i	$0.229787\pi$
$654$	1.24736	+	11.8678i	0.0487754	+	0.464067i
$655$	10.8077	+	26.1843i	0.422292	+	1.02310i
$656$	−0.123134	+	0.0548228i	−0.00480757	+	0.00214047i
$657$	−7.14653	−	4.12605i	−0.278813	−	0.160973i
$658$	10.4291	−	14.3545i	0.406569	−	0.559595i
$659$	3.01646	+	3.35012i	0.117505	+	0.130502i	0.799027	−	0.601295i	$-0.205348\pi$
$659$	3.01646	+	3.35012i	0.117505	+	0.130502i	−0.681522	+	0.731797i	$0.738682\pi$
$660$	−19.5706	−	0.536853i	−0.761785	−	0.0208970i
$661$	−29.1976	+	32.4272i	−1.13566	+	1.26127i	−0.174684	+	0.984625i	$0.555890\pi$
$661$	−29.1976	+	32.4272i	−1.13566	+	1.26127i	−0.960971	+	0.276648i	$0.910776\pi$
$662$	−30.3211	−	9.85191i	−1.17846	−	0.382905i
$663$	4.52959	+	0.0892323i	0.175915	+	0.00346550i
$664$	15.1315	+	46.5701i	0.587217	+	1.80727i
$665$	−5.61472	−	4.31944i	−0.217729	−	0.167501i
$666$	24.0351	−	5.10883i	0.931343	−	0.197963i
$667$	23.2176	+	52.1476i	0.898989	+	2.01916i
$668$			11.7320i			0.453923i
$669$	19.5117	−	8.68718i	0.754367	−	0.335866i
$670$	−4.86327	−	26.4234i	−0.187884	−	1.02082i
$671$	26.3287	−	19.1289i	1.01641	−	0.738465i
$672$	4.13448	−	0.434552i	0.159491	−	0.0167632i
$673$	34.6474	+	31.1966i	1.33556	+	1.20254i	0.961393	+	0.275180i	$0.0887373\pi$
$673$	34.6474	+	31.1966i	1.33556	+	1.20254i	0.374165	+	0.927362i	$0.377929\pi$
$674$	39.1673	+	67.8397i	1.50867	+	2.61309i
$675$	−3.52672	−	3.54432i	−0.135744	−	0.136421i
$676$	2.96756	+	45.3629i	0.114137	+	1.74473i
$677$	35.6680	−	11.5892i	1.37083	−	0.445411i	0.471188	−	0.882033i	$-0.343825\pi$
$677$	35.6680	−	11.5892i	1.37083	−	0.445411i	0.899645	+	0.436622i	$0.143825\pi$
$678$	4.20095	−	9.43548i	0.161336	−	0.362368i
$679$	−13.6182	−	6.06321i	−0.522618	−	0.232684i
$680$	−7.14431	−	6.79662i	−0.273972	−	0.260638i
$681$	−3.90596	−	2.83785i	−0.149677	−	0.108746i
$682$	17.1246	+	9.88689i	0.655735	+	0.378589i
$683$	−9.99227	−	22.4430i	−0.382343	−	0.858757i	−0.997521	−	0.0703688i	$-0.977582\pi$
$683$	−9.99227	−	22.4430i	−0.382343	−	0.858757i	0.615178	−	0.788389i	$-0.289084\pi$
$684$	3.39657	−	10.4536i	0.129871	−	0.399702i
$685$	−15.7168	+	2.89271i	−0.600510	+	0.110525i
$686$	20.5306	−	22.8015i	0.783861	−	0.870565i
$687$	−4.33662	−	20.4022i	−0.165453	−	0.778393i
$688$	−2.90627	−	0.944306i	−0.110801	−	0.0360013i
$689$	16.5811	+	23.7937i	0.631688	+	0.906467i
$690$	26.1618	+	30.7088i	0.995962	+	1.16907i
$691$	16.0438	−	3.41022i	0.610336	−	0.129731i	0.107634	−	0.994191i	$-0.465673\pi$
$691$	16.0438	−	3.41022i	0.610336	−	0.129731i	0.502702	+	0.864460i	$0.332339\pi$
$692$	10.3572	+	1.08859i	0.393722	+	0.0413818i
$693$	−2.18548	−	1.26179i	−0.0830194	−	0.0479313i
$694$	23.1214	+	16.7987i	0.877676	+	0.637669i
$695$	−3.39692	−	3.23160i	−0.128852	−	0.122582i
$696$	2.72133	+	25.8917i	0.103152	+	0.981424i
$697$	−0.0806353	−	0.110985i	−0.00305428	−	0.00420386i
$698$	6.41429	−	30.1769i	0.242785	−	1.14221i
$699$	−4.89994	−	8.48694i	−0.185333	−	0.321006i
$700$	17.6008	−	0.878485i	0.665247	−	0.0332036i
$701$	40.9827			1.54789			0.773947	−	0.633250i	$-0.218280\pi$
$701$	40.9827			1.54789			0.773947	+	0.633250i	$0.218280\pi$
$702$	−7.65334	−	3.58974i	−0.288857	−	0.135486i
$703$	−19.3631	−	26.6511i	−0.730294	−	1.00516i
$704$	−27.7673	−	12.3628i	−1.04652	−	0.465940i
$705$	−15.8195	−	5.62414i	−0.595796	−	0.211817i
$706$	76.5666	−	34.0896i	2.88162	−	1.28298i
$707$		−	15.7264i		−	0.591454i
$708$	−9.07534	−	20.3835i	−0.341072	−	0.766061i
$709$	7.43922	+	8.26209i	0.279386	+	0.310289i	0.866463	−	0.499242i	$-0.166388\pi$
$709$	7.43922	+	8.26209i	0.279386	+	0.310289i	−0.587077	+	0.809531i	$0.699721\pi$
$710$	−13.1441	+	5.42530i	−0.493288	+	0.203608i
$711$	5.14480	+	1.09356i	0.192945	+	0.0410118i
$712$	−6.37312	−	29.9832i	−0.238843	−	1.12367i
$713$	−5.38919	−	25.3541i	−0.201827	−	0.949520i
$714$	−0.917552	−	2.82394i	−0.0343385	−	0.105683i
$715$	19.4708	−	5.32663i	0.728165	−	0.199205i
$716$	1.03128	−	3.17395i	0.0385407	−	0.118616i
$717$	17.4759	+	1.83679i	0.652648	+	0.0685961i
$718$	−37.9764	+	21.9257i	−1.41727	+	0.818260i
$719$	36.7333	−	16.3547i	1.36992	−	0.609929i	0.415830	−	0.909442i	$-0.363491\pi$
$719$	36.7333	−	16.3547i	1.36992	−	0.609929i	0.954092	+	0.299514i	$0.0968244\pi$
$720$	1.05325	+	2.55174i	0.0392522	+	0.0950977i
$721$	−1.80720	−	17.1943i	−0.0673036	−	0.640351i
$722$	21.2656	−	2.23511i	0.791425	−	0.0831822i
$723$	14.2972	−	4.64545i	0.531720	−	0.172766i
$724$	33.5639	−	58.1344i	1.24739	−	2.16055i
$725$	−1.84894	−	37.0443i	−0.0686681	−	1.37579i
$726$	−5.54606	−	9.60606i	−0.205834	−	0.356515i
$727$	27.8227	−	9.04016i	1.03189	−	0.335281i	0.256352	−	0.966584i	$-0.417479\pi$
$727$	27.8227	−	9.04016i	1.03189	−	0.335281i	0.775537	+	0.631303i	$0.217479\pi$
$728$	11.7512	−	4.95700i	0.435529	−	0.183719i
$729$	0.809017	−	0.587785i	0.0299636	−	0.0217698i
$730$	−24.4596	−	35.6840i	−0.905291	−	1.32072i
$731$	0.325105	−	3.09317i	0.0120244	−	0.114405i
$732$	−39.3631	−	22.7263i	−1.45490	−	0.839988i
$733$	−4.87398	+	6.70846i	−0.180025	+	0.247783i	−0.889487	−	0.456961i	$-0.848938\pi$
$733$	−4.87398	+	6.70846i	−0.180025	+	0.247783i	0.709462	+	0.704744i	$0.248938\pi$
$734$	−32.9971	−	36.6470i	−1.21795	−	1.35267i
$735$	−12.0703	−	5.77567i	−0.445218	−	0.213039i
$736$	9.80808	+	30.1862i	0.361530	+	1.11268i
$737$	−9.53563	+	8.58592i	−0.351249	+	0.316266i
$738$	0.0532198	+	0.250380i	0.00195905	+	0.00921660i
$739$	−30.4869	+	33.8591i	−1.12148	+	1.24553i	−0.155241	+	0.987877i	$0.549615\pi$
$739$	−30.4869	+	33.8591i	−1.12148	+	1.24553i	−0.966238	+	0.257652i	$0.917051\pi$
$740$	79.6625	+	19.2302i	2.92845	+	0.706915i
$741$	−0.223216	+	11.3308i	−0.00820003	+	0.416248i
$742$	11.1722	−	15.3773i	0.410146	−	0.564517i
$743$	36.5929	−	21.1269i	1.34246	−	0.775071i	0.355295	−	0.934754i	$-0.384381\pi$
$743$	36.5929	−	21.1269i	1.34246	−	0.775071i	0.987168	+	0.159683i	$0.0510472\pi$
$744$	1.23573	−	11.7571i	0.0453039	−	0.431038i
$745$	0.847205	−	0.458630i	0.0310392	−	0.0168029i
$746$	−10.2396	+	7.43950i	−0.374898	+	0.272380i
$747$	13.8759	−	1.45841i	0.507691	−	0.0533605i
$748$	−2.28735	+	10.7611i	−0.0836339	+	0.393466i
$749$	9.32976			0.340902
$750$	−8.65770	−	24.7418i	−0.316134	−	0.903444i
$751$	−15.8243	−	27.4085i	−0.577437	−	1.00015i	−0.995772	−	0.0918579i	$-0.970719\pi$
$751$	−15.8243	−	27.4085i	−0.577437	−	1.00015i	0.418335	−	0.908293i	$-0.362614\pi$
$752$	6.88871	+	6.20263i	0.251206	+	0.226186i
$753$	−8.88861	−	12.2341i	−0.323919	−	0.445836i
$754$	−24.3724	−	57.7778i	−0.887589	−	2.10415i
$755$	−6.18209	−	3.79898i	−0.224989	−	0.138259i
$756$	−0.368414	+	3.50523i	−0.0133991	+	0.127484i
$757$	−30.8338	+	17.8019i	−1.12067	+	0.647021i	−0.941573	−	0.336809i	$-0.890652\pi$
$757$	−30.8338	+	17.8019i	−1.12067	+	0.647021i	−0.179101	+	0.983831i	$0.557319\pi$
$758$	−15.2005	−	34.1409i	−0.552108	−	1.24005i
$759$	5.95378	−	18.3238i	0.216109	−	0.665114i
$760$	17.0018	−	17.8716i	0.616720	−	0.648270i
$761$	51.3667	+	10.9183i	1.86204	+	0.395789i	0.994778	−	0.102059i	$-0.0325430\pi$
$761$	51.3667	+	10.9183i	1.86204	+	0.395789i	0.867264	+	0.497848i	$0.165876\pi$
$762$	26.6742	+	8.66698i	0.966306	+	0.313972i
$763$	−3.81230	+	3.43261i	−0.138015	+	0.124269i
$764$	42.1883	−	46.8549i	1.52632	−	1.69515i
$765$	−2.31751	+	1.58854i	−0.0837897	+	0.0574336i
$766$	−16.3392	+	50.2869i	−0.590359	+	1.81694i
$767$	15.0541	+	17.3965i	0.543574	+	0.628151i
$768$			23.1102i			0.833916i
$769$	0.533896	−	5.07968i	0.0192528	−	0.183178i	−0.980669	−	0.195673i	$-0.937311\pi$
$769$	0.533896	−	5.07968i	0.0192528	−	0.183178i	0.999922	+	0.0124953i	$0.00397747\pi$
$770$	−7.47998	−	10.9125i	−0.269560	−	0.393260i
$771$	1.68049	+	15.9888i	0.0605214	+	0.575823i
$772$	−19.9868	−	27.5095i	−0.719342	−	0.990090i
$773$	1.33070	−	6.26046i	0.0478621	−	0.225173i	−0.947716	−	0.319116i	$-0.896614\pi$
$773$	1.33070	−	6.26046i	0.0478621	−	0.225173i	0.995578	+	0.0939432i	$0.0299472\pi$
$774$	−2.90166	+	5.02583i	−0.104298	+	0.180650i
$775$	−2.67613	+	16.6284i	−0.0961293	+	0.597308i
$776$	25.9535	−	44.9528i	0.931678	−	1.61371i
$777$	7.85008	+	7.06824i	0.281620	+	0.253572i
$778$	−31.1548	+	69.9749i	−1.11695	+	2.50872i
$779$	0.277630	−	0.201710i	0.00994713	−	0.00722701i
$780$	−17.8569	−	21.8168i	−0.639381	−	0.781168i
$781$	5.49418	+	3.99175i	0.196597	+	0.142836i
$782$	19.6324	−	11.3348i	0.702054	−	0.405331i
$783$	7.37745	+	0.775401i	0.263649	+	0.0277106i
$784$	4.94339	+	5.49019i	0.176550	+	0.196078i
$785$	14.2924	−	23.2581i	0.510118	−	0.830116i
$786$	−29.0523	−	6.17526i	−1.03626	−	0.220264i
$787$	−14.0146	+	12.6188i	−0.499566	+	0.449812i	−0.879984	−	0.475003i	$-0.842447\pi$
$787$	−14.0146	+	12.6188i	−0.499566	+	0.449812i	0.380418	+	0.924815i	$0.375780\pi$
$788$	34.1241	+	11.0876i	1.21562	+	0.394979i
$789$	9.78040	+	2.07889i	0.348191	+	0.0740103i
$790$	21.8555	+	16.8135i	0.777582	+	0.598199i
$791$	4.34307	−	0.923148i	0.154422	−	0.0328234i
$792$	5.16502	−	7.10904i	0.183531	−	0.252609i
$793$	45.6398	+	10.6447i	1.62072	+	0.378005i
$794$	16.1165	+	11.7093i	0.571952	+	0.415547i
$795$	−16.9467	−	6.02488i	−0.601036	−	0.213680i
$796$	−40.1766	−	17.8878i	−1.42402	−	0.634016i
$797$	1.62948	−	0.171266i	0.0577193	−	0.00606654i	−0.0756248	−	0.997136i	$-0.524095\pi$
$797$	1.62948	−	0.171266i	0.0577193	−	0.00606654i	0.133344	+	0.991070i	$0.457428\pi$
$798$	7.06410	−	2.29527i	0.250067	−	0.0812516i
$799$	−4.71730	+	8.17061i	−0.166886	+	0.289055i
$800$	1.13061	−	20.5923i	0.0399732	−	0.728049i
$801$	−8.73411			−0.308604
$802$	7.59200	−	35.7176i	0.268083	−	1.26123i
$803$	−8.40381	+	18.8753i	−0.296564	+	0.666094i
$804$	16.3717	+	7.28913i	0.577384	+	0.257068i
$805$	−4.06954	+	16.8584i	−0.143433	+	0.594180i
$806$	5.37054	+	27.9639i	0.189169	+	0.984987i
$807$		−	15.1181i		−	0.532181i
$808$	54.4606	+	5.72404i	1.91592	+	0.201371i
$809$	8.31312	−	1.76701i	0.292274	−	0.0621247i	−0.0594414	−	0.998232i	$-0.518932\pi$
$809$	8.31312	−	1.76701i	0.292274	−	0.0621247i	0.351715	+	0.936107i	$0.385599\pi$
$810$	5.15597	−	0.948965i	0.181162	−	0.0333432i
$811$	−5.91018	−	18.1897i	−0.207535	−	0.638726i	−0.999600	−	0.0282894i	$-0.990994\pi$
$811$	−5.91018	−	18.1897i	−0.207535	−	0.638726i	0.792065	−	0.610437i	$-0.209006\pi$
$812$	−19.4298	+	17.4946i	−0.681851	+	0.613941i
$813$	−21.7757	+	19.6069i	−0.763707	+	0.687645i
$814$	−19.0118	−	58.5122i	−0.666362	−	2.05085i
$815$	−0.154453	+	0.0284274i	−0.00541026	+	0.000995768i
$816$	1.51736	−	0.322525i	0.0531182	−	0.0112906i
$817$	7.73759	+	0.813254i	0.270704	+	0.0284521i
$818$			62.3993i			2.18174i
$819$	−0.685400	−	3.56882i	−0.0239498	−	0.124705i
$820$	−0.200325	+	0.829862i	−0.00699566	+	0.0289800i
$821$	7.63642	+	3.39995i	0.266513	+	0.118659i	0.535643	−	0.844445i	$-0.320069\pi$
$821$	7.63642	+	3.39995i	0.266513	+	0.118659i	−0.269130	+	0.963104i	$0.586736\pi$
$822$	6.81533	−	15.3075i	0.237712	−	0.533910i
$823$	−1.79962	+	8.46657i	−0.0627310	+	0.295126i	−0.998318	−	0.0579692i	$-0.981537\pi$
$823$	−1.79962	+	8.46657i	−0.0627310	+	0.295126i	0.935587	+	0.353095i	$0.114871\pi$
$824$	60.2017			2.09723
$825$	−7.90263	+	9.70941i	−0.275134	+	0.338038i
$826$	7.53897	−	13.0579i	0.262314	−	0.454342i
$827$	−14.3709	+	4.66940i	−0.499726	+	0.162371i	−0.548025	−	0.836462i	$-0.684620\pi$
$827$	−14.3709	+	4.66940i	−0.499726	+	0.162371i	0.0482988	+	0.998833i	$0.484620\pi$
$828$	−26.7615	+	2.81275i	−0.930028	+	0.0977499i
$829$	34.2231	+	15.2371i	1.18862	+	0.529207i	0.903210	−	0.429200i	$-0.141204\pi$
$829$	34.2231	+	15.2371i	1.18862	+	0.529207i	0.285408	+	0.958406i	$0.407871\pi$
$830$	68.9199	+	24.5024i	2.39224	+	0.850490i
$831$	−6.77422	−	4.92176i	−0.234995	−	0.170734i
$832$	−12.7031	−	41.8861i	−0.440402	−	1.45214i
$833$	−4.41969	+	6.08318i	−0.153133	+	0.210770i
$834$	4.80856	−	1.02209i	0.166507	−	0.0353921i
$835$	5.94596	+	4.57427i	0.205768	+	0.158299i
$836$	−26.9191	−	5.72184i	−0.931017	−	0.197894i
$837$	−3.20360	−	1.04091i	−0.110733	−	0.0359792i
$838$	31.0946	−	27.9977i	1.07414	−	0.967163i
$839$	38.0646	+	8.09089i	1.31414	+	0.279328i	0.811085	−	0.584928i	$-0.198877\pi$
$839$	38.0646	+	8.09089i	1.31414	+	0.279328i	0.503052	+	0.864256i	$0.332210\pi$
$840$	−4.14118	+	6.73894i	−0.142884	+	0.232516i
$841$	17.4161	+	19.3426i	0.600556	+	0.666985i
$842$	−70.5482	−	7.41492i	−2.43125	−	0.255535i
$843$	−7.44599	+	4.29895i	−0.256454	+	0.148064i
$844$	−42.0231	−	30.5315i	−1.44649	−	1.05094i
$845$	24.1478	+	16.1829i	0.830708	+	0.556708i
$846$	14.2419	−	10.3474i	0.489648	−	0.355750i
$847$	1.93949	−	4.35616i	0.0666415	−	0.149679i
$848$	7.37956	+	6.64459i	0.253415	+	0.228176i
$849$	−2.00517	+	3.47305i	−0.0688171	+	0.119195i
$850$	−14.5543	+	2.26804i	−0.499208	+	0.0777932i
$851$	−40.3241	+	69.8435i	−1.38229	+	2.39420i
$852$	1.97202	−	9.27760i	0.0675601	−	0.317845i
$853$	−0.191008	−	0.262901i	−0.00654000	−	0.00900154i	0.805734	−	0.592277i	$-0.201771\pi$
$853$	−0.191008	−	0.262901i	−0.00654000	−	0.00900154i	−0.812274	+	0.583275i	$0.801771\pi$
$854$	−3.21060	−	30.5468i	−0.109864	−	1.04529i
$855$	−3.97374	−	5.79727i	−0.135899	−	0.198262i
$856$	−3.39580	+	32.3089i	−0.116066	+	1.10430i
$857$		−	28.2170i		−	0.963875i	−0.876206	−	0.481938i	$-0.839933\pi$
$857$		−	28.2170i		−	0.963875i	0.876206	−	0.481938i	$-0.160067\pi$
$858$	−6.93571	+	19.9969i	−0.236781	+	0.682683i
$859$	−1.22435	+	3.76816i	−0.0417743	+	0.128568i	−0.969769	−	0.244026i	$-0.921532\pi$
$859$	−1.22435	+	3.76816i	−0.0417743	+	0.128568i	0.927994	+	0.372594i	$0.121532\pi$
$860$	−15.9644	+	10.9428i	−0.544381	+	0.373146i
$861$	−0.0736315	+	0.0817761i	−0.00250935	+	0.00278692i
$862$	7.87388	−	7.08967i	0.268185	−	0.241475i
$863$	−11.3422	−	3.68531i	−0.386093	−	0.125449i	0.109537	−	0.993983i	$-0.465063\pi$
$863$	−11.3422	−	3.68531i	−0.386093	−	0.125449i	−0.495631	+	0.868533i	$0.665063\pi$
$864$	4.03454	+	0.857567i	0.137258	+	0.0291750i
$865$	4.58997	−	4.82478i	0.156064	−	0.164047i
$866$	3.91612	−	12.0526i	0.133075	−	0.409563i
$867$	−6.27234	−	14.0879i	−0.213020	−	0.478451i
$868$	10.2817	−	5.93614i	0.348984	−	0.201486i
$869$	1.37657	−	13.0972i	0.0466968	−	0.444290i
$870$	33.1337	+	20.3611i	1.12334	+	0.690308i
$871$	−18.3349	−	2.29302i	−0.621256	−	0.0776961i
$872$	−10.4995	−	14.4514i	−0.355559	−	0.489385i
$873$	−10.9912	−	9.89651i	−0.371996	−	0.334946i
$874$	28.3541	+	49.1107i	0.959091	+	1.66119i
$875$	6.41728	−	9.26291i	0.216944	−	0.313143i
$876$	28.8569			0.974983
$877$	6.16677	−	29.0124i	0.208237	−	0.979679i	−0.742540	−	0.669802i	$-0.766379\pi$
$877$	6.16677	−	29.0124i	0.208237	−	0.979679i	0.950777	−	0.309877i	$-0.100288\pi$
$878$	−55.8951	+	5.87482i	−1.88637	+	0.198265i
$879$	−0.945733	+	0.687116i	−0.0318988	+	0.0231758i
$880$	6.07837	−	3.29050i	0.204902	−	0.110923i
$881$	−2.30612	+	21.9413i	−0.0776951	+	0.739220i	0.884441	+	0.466651i	$0.154540\pi$
$881$	−2.30612	+	21.9413i	−0.0776951	+	0.739220i	−0.962136	+	0.272568i	$0.912127\pi$
$882$	12.1504	−	7.01505i	0.409126	−	0.236209i
$883$	16.8922	−	23.2501i	0.568467	−	0.782428i	−0.423905	−	0.905707i	$-0.639341\pi$
$883$	16.8922	−	23.2501i	0.568467	−	0.782428i	0.992372	+	0.123279i	$0.0393409\pi$
$884$	−13.8735	+	7.64955i	−0.466616	+	0.257282i
$885$	−13.8692	−	3.34797i	−0.466208	−	0.112541i
$886$	39.8539	−	44.2622i	1.33892	−	1.48702i
$887$	2.84429	+	13.3813i	0.0955018	+	0.449301i	0.999751	+	0.0222963i	$0.00709773\pi$
$887$	2.84429	+	13.3813i	0.0955018	+	0.449301i	−0.904250	+	0.427004i	$0.859569\pi$
$888$	−27.3345	+	24.6121i	−0.917286	+	0.825928i
$889$	3.72586	+	11.4670i	0.124961	+	0.384591i
$890$	−41.3041	−	19.7642i	−1.38452	−	0.662497i
$891$	−1.67536	−	1.86068i	−0.0561268	−	0.0623351i
$892$	−43.9004	+	60.4237i	−1.46989	+	2.02314i
$893$	−20.4389	−	11.8004i	−0.683960	−	0.394885i
$894$	−0.105586	+	1.00458i	−0.00353132	+	0.0335983i
$895$	−1.20652	−	1.76019i	−0.0403295	−	0.0588365i
$896$	−16.4815	+	11.9745i	−0.550609	+	0.400041i
$897$	25.5636	−	10.7835i	0.853544	−	0.360050i
$898$	−30.5241	+	9.91787i	−1.01860	+	0.330964i
$899$	−12.4938	−	21.6399i	−0.416691	−	0.721730i
$900$	16.8775	+	4.56737i	0.562582	+	0.152246i
$901$	−5.05343	+	8.75279i	−0.168354	+	0.291598i
$902$	0.609535	−	0.198050i	0.0202953	−	0.00659434i
$903$	−2.48113	+	0.260777i	−0.0825669	+	0.00867813i
$904$	1.61609	+	15.3760i	0.0537502	+	0.511399i
$905$	−16.3770	−	39.6773i	−0.544391	−	1.31892i
$906$	6.95034	−	3.09449i	0.230909	−	0.102808i
$907$	3.07132	−	1.77323i	0.101982	−	0.0588791i	−0.448142	−	0.893962i	$-0.647914\pi$
$907$	3.07132	−	1.77323i	0.101982	−	0.0588791i	0.550123	+	0.835083i	$0.314581\pi$
$908$	16.7907	+	1.76477i	0.557219	+	0.0585661i
$909$	4.82164	−	14.8395i	0.159924	−	0.492195i
$910$	4.83449	−	18.4281i	0.160262	−	0.610886i
$911$	7.57129	+	23.3020i	0.250848	+	0.772030i	0.994619	+	0.103597i	$0.0330351\pi$
$911$	7.57129	+	23.3020i	0.250848	+	0.772030i	−0.743771	+	0.668434i	$0.766965\pi$
$912$	0.806799	+	3.79569i	0.0267158	+	0.125688i
$913$	−7.26311	−	34.1702i	−0.240374	−	1.13087i
$914$	−12.3324	−	2.62133i	−0.407920	−	0.0867060i
$915$	−26.8657	+	11.0890i	−0.888152	+	0.366590i
$916$	48.8054	+	54.2039i	1.61258	+	1.79095i
$917$	−5.19335	−	11.6645i	−0.171500	−	0.385194i
$918$		−	2.94599i		−	0.0972321i
$919$	6.77523	−	3.01652i	0.223494	−	0.0995060i	−0.291935	−	0.956438i	$-0.594299\pi$
$919$	6.77523	−	3.01652i	0.223494	−	0.0995060i	0.515429	+	0.856932i	$0.327632\pi$
$920$	−56.8993	−	20.2289i	−1.87592	−	0.666925i
$921$	22.4538	+	9.99706i	0.739877	+	0.329414i
$922$	−15.4034	−	21.2010i	−0.507284	−	0.698217i
$923$	0.830479	+	9.74422i	0.0273356	+	0.320735i
$924$	8.82471			0.290312
$925$	40.8065	−	32.8765i	1.34171	−	1.08097i
$926$	−26.0734	−	45.1604i	−0.856825	−	1.48406i
$927$	3.56642	−	16.7787i	0.117137	−	0.551084i
$928$	17.9846	+	24.7536i	0.590372	+	0.812577i
$929$	−2.83158	−	26.9407i	−0.0929011	−	0.883895i	−0.937381	−	0.348307i	$-0.886757\pi$
$929$	−2.83158	−	26.9407i	−0.0929011	−	0.883895i	0.844479	−	0.535588i	$-0.179910\pi$
$930$	−12.7946	−	12.1719i	−0.419550	−	0.399132i
$931$	−15.2171	−	11.0559i	−0.498722	−	0.362342i
$932$	29.6781	+	17.1346i	0.972138	+	0.561264i
$933$	15.2178	+	1.59945i	0.498207	+	0.0523637i
$934$	−83.2960	+	17.7051i	−2.72553	+	0.579329i
$935$	4.56211	+	5.35502i	0.149197	+	0.175128i
$936$	12.6083	−	1.07458i	0.412114	−	0.0351236i
$937$	18.1124	+	5.88506i	0.591705	+	0.192257i	0.589537	−	0.807741i	$-0.299310\pi$
$937$	18.1124	+	5.88506i	0.591705	+	0.192257i	0.00216741	+	0.999998i	$0.499310\pi$
$938$	2.51787	+	11.8457i	0.0822114	+	0.386774i
$939$	−14.8834	+	16.5297i	−0.485701	+	0.539425i
$940$	57.7414	−	10.6274i	1.88332	−	0.346628i
$941$	−10.5318	+	32.4135i	−0.343327	+	1.05665i	0.619147	+	0.785275i	$0.287479\pi$
$941$	−10.5318	+	32.4135i	−0.343327	+	1.05665i	−0.962474	+	0.271376i	$0.912521\pi$
$942$	11.6420	+	26.1483i	0.379317	+	0.851959i
$943$	−0.727575	−	0.420066i	−0.0236931	−	0.0136792i
$944$	6.37287	+	4.63016i	0.207419	+	0.150699i
$945$	1.63287	+	1.55340i	0.0531172	+	0.0505322i
$946$	13.2741	+	5.91001i	0.431578	+	0.192151i
$947$	−18.5073	+	41.5680i	−0.601406	+	1.35078i	0.314451	+	0.949274i	$0.398180\pi$
$947$	−18.5073	+	41.5680i	−0.601406	+	1.35078i	−0.915857	+	0.401506i	$0.868487\pi$
$948$	−17.4926	+	5.68370i	−0.568134	+	0.184598i
$949$	−28.4728	+	8.63518i	−0.924265	+	0.280310i
$950$	−5.67353	−	36.4077i	−0.184074	−	1.18122i
$951$	−14.9307	−	25.8607i	−0.484160	−	0.838589i
$952$	3.30307	+	2.97410i	0.107053	+	0.0963910i
$953$	−8.35541	+	0.878189i	−0.270658	+	0.0284473i	−0.238885	−	0.971048i	$-0.576782\pi$
$953$	−8.35541	+	0.878189i	−0.270658	+	0.0284473i	−0.0317729	+	0.999495i	$0.510115\pi$
$954$	15.2567	−	11.0847i	0.493955	−	0.358879i
$955$	−7.29773	−	39.6504i	−0.236149	−	1.28306i
$956$	−56.1357	+	24.9932i	−1.81556	+	0.808338i
$957$		−	18.5733i		−	0.600391i
$958$	−12.5431	−	28.1723i	−0.405249	−	0.910205i
$959$	7.04590	−	1.49765i	0.227524	−	0.0483617i
$960$	21.5150	+	16.5516i	0.694393	+	0.534201i
$961$	−6.07324	−	18.6915i	−0.195911	−	0.602952i
$962$	45.8006	−	75.8390i	1.47667	−	2.44515i
$963$	8.80357	+	2.86045i	0.283691	+	0.0921769i
$964$	−35.1756	+	39.0664i	−1.13293	+	1.25824i
$965$	−21.7352	−	0.596230i	−0.699679	−	0.0191933i
$966$	−12.1675	−	13.5133i	−0.391482	−	0.434785i
$967$	−16.4803	+	22.6832i	−0.529972	+	0.729444i	−0.987126	−	0.159943i	$-0.948869\pi$
$967$	−16.4803	+	22.6832i	−0.529972	+	0.729444i	0.457154	+	0.889388i	$0.348869\pi$
$968$	14.3794	+	8.30196i	0.462172	+	0.266835i
$969$	−3.60807	+	1.60642i	−0.115908	+	0.0516056i
$970$	−29.5834	−	71.6728i	−0.949865	−	2.30128i
$971$	4.60188	+	43.7840i	0.147681	+	1.40510i	0.777759	+	0.628563i	$0.216357\pi$
$971$	4.60188	+	43.7840i	0.147681	+	1.40510i	−0.630077	+	0.776533i	$0.716977\pi$
$972$	−1.42232	+	3.19459i	−0.0456210	+	0.102466i
$973$	1.57052	+	1.41410i	0.0503485	+	0.0453340i
$974$	−34.1843			−1.09533
$975$	−18.0196	+	0.543869i	−0.577087	+	0.0174177i
$976$	16.0467			0.513644
$977$	−33.1652	−	29.8620i	−1.06105	−	0.955372i	−0.0619600	−	0.998079i	$-0.519735\pi$
$977$	−33.1652	−	29.8620i	−1.06105	−	0.955372i	−0.999088	+	0.0427071i	$0.986402\pi$
$978$	0.0669759	−	0.150430i	0.00214165	−	0.00481023i
$979$	2.28587	+	21.7486i	0.0730567	+	0.695088i
$980$	46.6522	−	3.61318i	1.49025	−	0.115419i
$981$	−4.64972	+	2.07019i	−0.148454	+	0.0660960i
$982$	30.8940	+	17.8367i	0.985867	+	0.569191i
$983$	−19.7292	+	27.1549i	−0.629264	+	0.866107i	−0.997986	−	0.0634322i	$-0.979795\pi$
$983$	−19.7292	+	27.1549i	−0.629264	+	0.866107i	0.368722	+	0.929540i	$0.379795\pi$
$984$	−0.256390	−	0.284750i	−0.00817341	−	0.00907750i
$985$	18.9243	−	12.9717i	0.602979	−	0.413312i
$986$	14.6229	−	16.2404i	0.465688	−	0.517199i
$987$	7.19741	+	2.33858i	0.229096	+	0.0744378i
$988$	−19.1354	−	34.7047i	−0.608779	−	1.10410i
$989$	−5.88589	−	18.1149i	−0.187160	−	0.576021i
$990$	−3.71240	−	12.5904i	−0.117988	−	0.400149i
$991$	−48.5553	+	10.3207i	−1.54241	+	0.327849i	−0.899095	−	0.437753i	$-0.855775\pi$
$991$	−48.5553	+	10.3207i	−1.54241	+	0.327849i	−0.643314	+	0.765602i	$0.722441\pi$
$992$	−5.65112	−	12.6926i	−0.179423	−	0.402991i
$993$		−	13.5981i		−	0.431523i
$994$	5.85537	−	2.60698i	0.185721	−	0.0826883i
$995$	−24.7306	+	13.3878i	−0.784014	+	0.424422i
$996$	−39.4718	+	28.6780i	−1.25071	+	0.908696i
$997$	−45.0906	+	4.73921i	−1.42803	+	0.150092i	−0.786778	−	0.617236i	$-0.788253\pi$
$997$	−45.0906	+	4.73921i	−1.42803	+	0.150092i	−0.641255	+	0.767328i	$0.721586\pi$
$998$	30.0950	+	27.0977i	0.952642	+	0.857762i
$999$	5.24026	+	9.07640i	0.165795	+	0.287165i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	975.2.cm.a.94.9	✓	544
13.9	even	3	inner	975.2.cm.a.919.9	yes	544
25.4	even	10	inner	975.2.cm.a.679.9	yes	544
325.204	even	30	inner	975.2.cm.a.529.9	yes	544

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
975.2.cm.a.94.9	✓	544	1.1	even	1	trivial
975.2.cm.a.529.9	yes	544	325.204	even	30	inner
975.2.cm.a.679.9	yes	544	25.4	even	10	inner
975.2.cm.a.919.9	yes	544	13.9	even	3	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:	\( N \)	\(=\)	\( 975 = 3 \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	975.cm (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.74234 - 1.56881i) q^{2} +(0.406737 - 0.913545i) q^{3} +(0.365527 + 3.47775i) q^{4} +(1.90511 + 1.17071i) q^{5} +(-2.14185 + 0.953614i) q^{6} +(-0.872867 - 0.503950i) q^{7} +(2.06288 - 2.83931i) q^{8} +(-0.669131 - 0.743145i) q^{9} +O(q^{10})\)	\(q+(-1.74234 - 1.56881i) q^{2} +(0.406737 - 0.913545i) q^{3} +(0.365527 + 3.47775i) q^{4} +(1.90511 + 1.17071i) q^{5} +(-2.14185 + 0.953614i) q^{6} +(-0.872867 - 0.503950i) q^{7} +(2.06288 - 2.83931i) q^{8} +(-0.669131 - 0.743145i) q^{9} +(-1.48271 - 5.02853i) q^{10} +(-1.67536 + 1.86068i) q^{11} +(3.32576 + 1.08060i) q^{12} +(-3.60485 - 0.0710151i) q^{13} +(0.730229 + 2.24742i) q^{14} +(1.84438 - 1.26423i) q^{15} +(-1.20758 + 0.256680i) q^{16} +(-0.511075 - 1.14789i) q^{17} +2.34455i q^{18} +(2.87147 - 1.27846i) q^{19} +(-3.37509 + 7.05342i) q^{20} +(-0.815409 + 0.592429i) q^{21} +(5.83810 - 0.613609i) q^{22} +(-5.71855 - 5.14900i) q^{23} +(-1.75479 - 3.03939i) q^{24} +(2.25885 + 4.46067i) q^{25} +(6.16947 + 5.77906i) q^{26} +(-0.951057 + 0.309017i) q^{27} +(1.43356 - 3.21983i) q^{28} +(-6.77676 - 3.01721i) q^{29} +(-5.19686 - 0.690762i) q^{30} +(2.72515 + 1.97993i) q^{31} +(-3.57207 - 2.06234i) q^{32} +(1.01838 + 2.28733i) q^{33} +(-0.910360 + 2.80180i) q^{34} +(-1.07292 - 1.98196i) q^{35} +(2.33989 - 2.59871i) q^{36} +(-2.17902 - 10.2515i) q^{37} +(-7.00873 - 2.27728i) q^{38} +(-1.53110 + 3.26431i) q^{39} +(7.25402 - 2.99414i) q^{40} +(0.106792 - 0.0226994i) q^{41} +(2.35013 + 0.247008i) q^{42} +(2.14362 + 1.23762i) q^{43} +(-7.08338 - 5.14637i) q^{44} +(-0.404754 - 2.19913i) q^{45} +(1.88585 + 17.9426i) q^{46} +(-4.41337 - 6.07449i) q^{47} +(-0.256680 + 1.20758i) q^{48} +(-2.99207 - 5.18241i) q^{49} +(3.06225 - 11.3157i) q^{50} -1.25653 q^{51} +(-1.07070 - 12.5627i) q^{52} +(-4.72784 - 6.50732i) q^{53} +(2.14185 + 0.953614i) q^{54} +(-5.37007 + 1.58342i) q^{55} +(-3.23149 + 1.43875i) q^{56} -3.14321i q^{57} +(7.07399 + 15.8884i) q^{58} +(-4.26949 - 4.74175i) q^{59} +(5.07084 + 5.95218i) q^{60} +(-12.7139 - 2.70242i) q^{61} +(-1.64199 - 7.72496i) q^{62} +(0.209554 + 0.985875i) q^{63} +(3.75135 + 11.5455i) q^{64} +(-6.78448 - 4.35554i) q^{65} +(1.81401 - 5.58295i) q^{66} +(5.09674 + 0.535689i) q^{67} +(3.80528 - 2.19698i) q^{68} +(-7.02979 + 3.12986i) q^{69} +(-1.23992 + 5.13645i) q^{70} +(-0.283519 - 2.69750i) q^{71} +(-3.49035 + 0.366851i) q^{72} +(7.84822 - 2.55004i) q^{73} +(-12.2860 + 21.2801i) q^{74} +(4.99378 - 0.249248i) q^{75} +(5.49577 + 9.51895i) q^{76} +(2.40006 - 0.779827i) q^{77} +(7.78878 - 3.28553i) q^{78} +(-4.25522 + 3.09160i) q^{79} +(-2.60107 - 0.924733i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(-0.221679 - 0.127987i) q^{82} +(-8.20095 + 11.2876i) q^{83} +(-2.35838 - 2.61924i) q^{84} +(0.370204 - 2.78518i) q^{85} +(-1.79333 - 5.51929i) q^{86} +(-5.51271 + 4.96367i) q^{87} +(1.82697 + 8.59523i) q^{88} +(5.84426 - 6.49071i) q^{89} +(-2.74480 + 4.46661i) q^{90} +(3.11077 + 1.87865i) q^{91} +(15.8167 - 21.7698i) q^{92} +(2.91718 - 1.68423i) q^{93} +(-1.84012 + 17.5076i) q^{94} +(6.96716 + 0.926069i) q^{95} +(-3.33693 + 2.42442i) q^{96} +(14.7091 - 1.54599i) q^{97} +(-2.91702 + 13.7235i) q^{98} +2.50379 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 544 q - 64 q^{4} - 4 q^{5} - 68 q^{9}+O(q^{10}) \) 544 * q - 64 * q^4 - 4 * q^5 - 68 * q^9	\( 544 q - 64 q^{4} - 4 q^{5} - 68 q^{9} + 4 q^{10} + 2 q^{15} + 68 q^{16} - 12 q^{19} + 36 q^{20} - 50 q^{22} - 20 q^{23} + 36 q^{25} + 48 q^{26} - 8 q^{29} + 4 q^{30} + 10 q^{33} + 24 q^{34} - 10 q^{35} + 64 q^{36} - 10 q^{37} - 132 q^{40} - 14 q^{41} - 2 q^{45} + 20 q^{46} + 208 q^{49} + 70 q^{50} - 128 q^{51} - 40 q^{52} - 100 q^{53} - 50 q^{55} + 36 q^{56} - 60 q^{58} - 12 q^{59} - 48 q^{60} - 28 q^{61} - 160 q^{62} + 176 q^{64} + 56 q^{65} + 48 q^{66} + 12 q^{69} - 24 q^{70} - 32 q^{71} - 160 q^{73} - 8 q^{74} - 16 q^{75} - 12 q^{76} + 80 q^{77} - 96 q^{79} + 4 q^{80} + 68 q^{81} + 64 q^{85} - 48 q^{86} + 40 q^{87} + 20 q^{88} - 60 q^{89} + 8 q^{90} - 64 q^{91} - 360 q^{92} + 4 q^{94} - 132 q^{95} + 60 q^{96} - 360 q^{98}+O(q^{100}) \) 544 * q - 64 * q^4 - 4 * q^5 - 68 * q^9 + 4 * q^10 + 2 * q^15 + 68 * q^16 - 12 * q^19 + 36 * q^20 - 50 * q^22 - 20 * q^23 + 36 * q^25 + 48 * q^26 - 8 * q^29 + 4 * q^30 + 10 * q^33 + 24 * q^34 - 10 * q^35 + 64 * q^36 - 10 * q^37 - 132 * q^40 - 14 * q^41 - 2 * q^45 + 20 * q^46 + 208 * q^49 + 70 * q^50 - 128 * q^51 - 40 * q^52 - 100 * q^53 - 50 * q^55 + 36 * q^56 - 60 * q^58 - 12 * q^59 - 48 * q^60 - 28 * q^61 - 160 * q^62 + 176 * q^64 + 56 * q^65 + 48 * q^66 + 12 * q^69 - 24 * q^70 - 32 * q^71 - 160 * q^73 - 8 * q^74 - 16 * q^75 - 12 * q^76 + 80 * q^77 - 96 * q^79 + 4 * q^80 + 68 * q^81 + 64 * q^85 - 48 * q^86 + 40 * q^87 + 20 * q^88 - 60 * q^89 + 8 * q^90 - 64 * q^91 - 360 * q^92 + 4 * q^94 - 132 * q^95 + 60 * q^96 - 360 * q^98

Introduction

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