LMFDB - Embedded newform 930.2.bo.b.179.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.18
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(0.128921 + 1.72725i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.12123 - 0.707392i) q^{5} +(1.60287 - 0.656359i) q^{6} +(-1.37162 + 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.96676 + 0.445355i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(0.128921 + 1.72725i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.12123 - 0.707392i) q^{5} +(1.60287 - 0.656359i) q^{6} +(-1.37162 + 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.96676 + 0.445355i) q^{9} +(-1.32826 - 1.79881i) q^{10} +(0.323323 + 3.07621i) q^{11} +(-1.11955 - 1.32159i) q^{12} +(-0.496577 - 0.551505i) q^{13} +(3.35379 + 0.352498i) q^{14} +(1.49531 + 3.57268i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-6.41828 - 0.674588i) q^{17} +(1.34034 + 2.68393i) q^{18} +(0.756140 - 0.839778i) q^{19} +(-1.30031 + 1.81912i) q^{20} +(-5.49799 - 1.97196i) q^{21} +(2.82574 - 1.25810i) q^{22} +(-3.94420 + 5.42873i) q^{23} +(-0.910951 + 1.47315i) q^{24} +(3.99919 - 3.00108i) q^{25} +(-0.371061 + 0.642697i) q^{26} +(-1.15171 - 5.06691i) q^{27} +(-0.701133 - 3.29857i) q^{28} +(2.53013 + 7.78695i) q^{29} +(2.93575 - 2.52614i) q^{30} +(0.267293 - 5.56134i) q^{31} -1.00000 q^{32} +(-5.27169 + 0.955046i) q^{33} +(1.34179 + 6.31261i) q^{34} +(-0.730249 + 7.50517i) q^{35} +(2.13839 - 2.10412i) q^{36} +(-3.19859 - 5.54012i) q^{37} +(-1.03234 - 0.459626i) q^{38} +(0.888565 - 0.928811i) q^{39} +(2.13190 + 0.674533i) q^{40} +(1.24260 - 5.84595i) q^{41} +(-0.176478 + 5.83827i) q^{42} +(-5.67427 + 6.30191i) q^{43} +(-2.06973 - 2.29866i) q^{44} +(-5.97812 + 3.04336i) q^{45} +(6.38185 + 2.07359i) q^{46} +(-0.520163 + 1.60090i) q^{47} +(1.68255 + 0.411138i) q^{48} +(-2.92555 - 3.24916i) q^{49} +(-4.09001 - 2.87608i) q^{50} +(0.337732 - 11.1729i) q^{51} +(0.725906 + 0.154296i) q^{52} +(-1.76831 - 3.97169i) q^{53} +(-4.46302 + 2.66111i) q^{54} +(2.86193 + 6.29662i) q^{55} +(-2.92047 + 1.68613i) q^{56} +(1.54799 + 1.19778i) q^{57} +(6.62398 - 4.81260i) q^{58} +(2.85651 + 13.4388i) q^{59} +(-3.30970 - 2.01144i) q^{60} -2.51476i q^{61} +(-5.37175 + 1.46434i) q^{62} +(2.69726 - 9.75061i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-1.44348 - 0.818591i) q^{65} +(2.53735 + 4.71855i) q^{66} +(2.86510 + 1.65416i) q^{67} +(5.58901 - 3.22682i) q^{68} +(-9.88524 - 6.11273i) q^{69} +(7.36350 - 1.62472i) q^{70} +(0.327765 + 0.736172i) q^{71} +(-2.66193 - 1.38352i) q^{72} +(1.28769 + 12.2515i) q^{73} +(-4.28055 + 4.75403i) q^{74} +(5.69917 + 6.52069i) q^{75} +(-0.118121 + 1.12384i) q^{76} +(-9.92042 - 3.22334i) q^{77} +(-1.15793 - 0.558058i) q^{78} +(8.80976 + 0.925943i) q^{79} +(-0.0172750 - 2.23600i) q^{80} +(8.60332 - 2.64252i) q^{81} +(-5.94381 + 0.624720i) q^{82} +(-1.26882 + 5.96933i) q^{83} +(5.60706 - 1.63628i) q^{84} +(-14.0918 + 3.10928i) q^{85} +(7.74692 + 3.44915i) q^{86} +(-13.1238 + 5.37406i) q^{87} +(-1.54658 + 2.67875i) q^{88} +(-10.3718 + 7.53552i) q^{89} +(4.74175 + 4.74508i) q^{90} +(2.38015 - 0.773357i) q^{91} -6.71028i q^{92} +(9.64027 - 0.255291i) q^{93} +1.68328 q^{94} +(1.00989 - 2.31625i) q^{95} +(-0.128921 - 1.72725i) q^{96} +(2.41469 + 3.32353i) q^{97} +(-2.18609 + 3.78641i) q^{98} +(-2.32923 - 8.98239i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	0.128921	+	1.72725i	0.0744323	+	0.997226i
$3$	0.128921	+	1.72725i	0.0744323	+	0.997226i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	2.12123	−	0.707392i	0.948641	−	0.316355i
$5$	2.12123	−	0.707392i	0.948641	−	0.316355i
$6$	1.60287	−	0.656359i	0.654369	−	0.267958i
$7$	−1.37162	+	3.08072i	−0.518425	+	1.16440i	0.444781	+	0.895639i	$0.353281\pi$
$7$	−1.37162	+	3.08072i	−0.518425	+	1.16440i	−0.963206	+	0.268763i	$0.913385\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−2.96676	+	0.445355i	−0.988920	+	0.148452i
$10$	−1.32826	−	1.79881i	−0.420034	−	0.568833i
$11$	0.323323	+	3.07621i	0.0974856	+	0.927513i	0.928518	+	0.371289i	$0.121084\pi$
$11$	0.323323	+	3.07621i	0.0974856	+	0.927513i	−0.831032	+	0.556225i	$0.812249\pi$
$12$	−1.11955	−	1.32159i	−0.323186	−	0.381511i
$13$	−0.496577	−	0.551505i	−0.137726	−	0.152960i	0.670336	−	0.742058i	$-0.266150\pi$
$13$	−0.496577	−	0.551505i	−0.137726	−	0.152960i	−0.808062	+	0.589098i	$0.799483\pi$
$14$	3.35379	+	0.352498i	0.896338	+	0.0942090i
$15$	1.49531	+	3.57268i	0.386087	+	0.922462i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−6.41828	−	0.674588i	−1.55666	−	0.163612i	−0.713261	−	0.700898i	$-0.752783\pi$
$17$	−6.41828	−	0.674588i	−1.55666	−	0.163612i	−0.843400	+	0.537286i	$0.819449\pi$
$18$	1.34034	+	2.68393i	0.315920	+	0.632609i
$19$	0.756140	−	0.839778i	0.173470	−	0.192658i	−0.650140	−	0.759815i	$-0.725290\pi$
$19$	0.756140	−	0.839778i	0.173470	−	0.192658i	0.823610	+	0.567156i	$0.191956\pi$
$20$	−1.30031	+	1.81912i	−0.290759	+	0.406767i
$21$	−5.49799	−	1.97196i	−1.19976	−	0.430318i
$22$	2.82574	−	1.25810i	0.602450	−	0.268228i
$23$	−3.94420	+	5.42873i	−0.822423	+	1.13197i	0.166863	+	0.985980i	$0.446636\pi$
$23$	−3.94420	+	5.42873i	−0.822423	+	1.13197i	−0.989286	+	0.145988i	$0.953364\pi$
$24$	−0.910951	+	1.47315i	−0.185947	+	0.300705i
$25$	3.99919	−	3.00108i	0.799839	−	0.600215i
$26$	−0.371061	+	0.642697i	−0.0727711	+	0.126043i
$27$	−1.15171	−	5.06691i	−0.221648	−	0.975127i
$28$	−0.701133	−	3.29857i	−0.132502	−	0.623372i
$29$	2.53013	+	7.78695i	0.469834	+	1.44600i	0.852800	+	0.522238i	$0.174903\pi$
$29$	2.53013	+	7.78695i	0.469834	+	1.44600i	−0.382966	+	0.923763i	$0.625097\pi$
$30$	2.93575	−	2.52614i	0.535991	−	0.461208i
$31$	0.267293	−	5.56134i	0.0480073	−	0.998847i
$31$	0.267293	−	5.56134i	0.0480073	−	0.998847i
$32$	−1.00000			−0.176777
$33$	−5.27169	+	0.955046i	−0.917684	+	0.166252i
$34$	1.34179	+	6.31261i	0.230114	+	1.08260i
$35$	−0.730249	+	7.50517i	−0.123435	+	1.26861i
$36$	2.13839	−	2.10412i	0.356398	−	0.350686i
$37$	−3.19859	−	5.54012i	−0.525845	−	0.910791i	−0.999547	−	0.0301051i	$-0.990416\pi$
$37$	−3.19859	−	5.54012i	−0.525845	−	0.910791i	0.473702	−	0.880685i	$-0.342918\pi$
$38$	−1.03234	−	0.459626i	−0.167467	−	0.0745612i
$39$	0.888565	−	0.928811i	0.142284	−	0.148729i
$40$	2.13190	+	0.674533i	0.337083	+	0.106653i
$41$	1.24260	−	5.84595i	0.194061	−	0.912984i	−0.768064	−	0.640374i	$-0.778780\pi$
$41$	1.24260	−	5.84595i	0.194061	−	0.912984i	0.962124	−	0.272611i	$-0.0878871\pi$
$42$	−0.176478	+	5.83827i	−0.0272311	+	0.900864i
$43$	−5.67427	+	6.30191i	−0.865318	+	0.961033i	−0.999552	−	0.0299170i	$-0.990476\pi$
$43$	−5.67427	+	6.30191i	−0.865318	+	0.961033i	0.134235	+	0.990950i	$0.457142\pi$
$44$	−2.06973	−	2.29866i	−0.312023	−	0.346537i
$45$	−5.97812	+	3.04336i	−0.891166	+	0.453677i
$46$	6.38185	+	2.07359i	0.940953	+	0.305734i
$47$	−0.520163	+	1.60090i	−0.0758735	+	0.233515i	−0.981799	−	0.189922i	$-0.939176\pi$
$47$	−0.520163	+	1.60090i	−0.0758735	+	0.233515i	0.905926	+	0.423437i	$0.139176\pi$
$48$	1.68255	+	0.411138i	0.242855	+	0.0593426i
$49$	−2.92555	−	3.24916i	−0.417936	−	0.464165i
$50$	−4.09001	−	2.87608i	−0.578415	−	0.406739i
$51$	0.337732	−	11.1729i	0.0472919	−	1.56452i
$52$	0.725906	+	0.154296i	0.100665	+	0.0213970i
$53$	−1.76831	−	3.97169i	−0.242896	−	0.545553i	0.750423	−	0.660958i	$-0.229850\pi$
$53$	−1.76831	−	3.97169i	−0.242896	−	0.545553i	−0.993319	+	0.115405i	$0.963183\pi$
$54$	−4.46302	+	2.66111i	−0.607340	+	0.362131i
$55$	2.86193	+	6.29662i	0.385902	+	0.849037i
$56$	−2.92047	+	1.68613i	−0.390264	+	0.225319i
$57$	1.54799	+	1.19778i	0.205036	+	0.158649i
$58$	6.62398	−	4.81260i	0.869771	−	0.631925i
$59$	2.85651	+	13.4388i	0.371886	+	1.74959i	0.623560	+	0.781776i	$0.285686\pi$
$59$	2.85651	+	13.4388i	0.371886	+	1.74959i	−0.251673	+	0.967812i	$0.580981\pi$
$60$	−3.30970	−	2.01144i	−0.427280	−	0.259676i
$61$		−	2.51476i		−	0.321982i	−0.986956	−	0.160991i	$-0.948531\pi$
$61$		−	2.51476i		−	0.321982i	0.986956	−	0.160991i	$-0.0514690\pi$
$62$	−5.37175	+	1.46434i	−0.682213	+	0.185971i
$63$	2.69726	−	9.75061i	0.339823	−	1.22846i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−1.44348	−	0.818591i	−0.179042	−	0.101534i
$66$	2.53735	+	4.71855i	0.312326	+	0.580814i
$67$	2.86510	+	1.65416i	0.350027	+	0.202088i	0.664697	−	0.747113i	$-0.268561\pi$
$67$	2.86510	+	1.65416i	0.350027	+	0.202088i	−0.314670	+	0.949201i	$0.601894\pi$
$68$	5.58901	−	3.22682i	0.677767	−	0.391309i
$69$	−9.88524	−	6.11273i	−1.19004	−	0.735887i
$70$	7.36350	−	1.62472i	0.880107	−	0.194191i
$71$	0.327765	+	0.736172i	0.0388985	+	0.0873676i	0.931950	−	0.362588i	$-0.118107\pi$
$71$	0.327765	+	0.736172i	0.0388985	+	0.0873676i	−0.893051	+	0.449955i	$0.851440\pi$
$72$	−2.66193	−	1.38352i	−0.313712	−	0.163049i
$73$	1.28769	+	12.2515i	0.150713	+	1.43394i	0.764581	+	0.644527i	$0.222946\pi$
$73$	1.28769	+	12.2515i	0.150713	+	1.43394i	−0.613869	+	0.789408i	$0.710388\pi$
$74$	−4.28055	+	4.75403i	−0.497604	+	0.552645i
$75$	5.69917	+	6.52069i	0.658084	+	0.752945i
$76$	−0.118121	+	1.12384i	−0.0135494	+	0.128914i
$77$	−9.92042	−	3.22334i	−1.13054	−	0.367334i
$78$	−1.15793	−	0.558058i	−0.131110	−	0.0631876i
$79$	8.80976	+	0.925943i	0.991176	+	0.104177i	0.586213	−	0.810157i	$-0.300618\pi$
$79$	8.80976	+	0.925943i	0.991176	+	0.104177i	0.404962	+	0.914333i	$0.367285\pi$
$80$	−0.0172750	−	2.23600i	−0.00193140	−	0.249993i
$81$	8.60332	−	2.64252i	0.955924	−	0.293614i
$82$	−5.94381	+	0.624720i	−0.656384	+	0.0689888i
$83$	−1.26882	+	5.96933i	−0.139271	+	0.655219i	0.852018	+	0.523513i	$0.175379\pi$
$83$	−1.26882	+	5.96933i	−0.139271	+	0.655219i	−0.991289	+	0.131706i	$0.957954\pi$
$84$	5.60706	−	1.63628i	0.611780	−	0.178533i
$85$	−14.0918	+	3.10928i	−1.52847	+	0.337249i
$86$	7.74692	+	3.44915i	0.835372	+	0.371932i
$87$	−13.1238	+	5.37406i	−1.40702	+	0.576160i
$88$	−1.54658	+	2.67875i	−0.164866	+	0.285556i
$89$	−10.3718	+	7.53552i	−1.09940	+	0.798764i	−0.980963	−	0.194197i	$-0.937790\pi$
$89$	−10.3718	+	7.53552i	−1.09940	+	0.798764i	−0.118442	+	0.992961i	$0.537790\pi$
$90$	4.74175	+	4.74508i	0.499824	+	0.500176i
$91$	2.38015	−	0.773357i	0.249507	−	0.0810698i
$92$		−	6.71028i		−	0.699595i
$93$	9.64027	−	0.255291i	0.999650	−	0.0264724i
$94$	1.68328			0.173617
$95$	1.00989	−	2.31625i	0.103613	−	0.237642i
$96$	−0.128921	−	1.72725i	−0.0131579	−	0.176286i
$97$	2.41469	+	3.32353i	0.245174	+	0.337454i	0.913814	−	0.406133i	$-0.133123\pi$
$97$	2.41469	+	3.32353i	0.245174	+	0.337454i	−0.668640	+	0.743587i	$0.733123\pi$
$98$	−2.18609	+	3.78641i	−0.220828	+	0.382485i
$99$	−2.32923	−	8.98239i	−0.234096	−	0.902764i
$100$	−1.47143	+	4.77859i	−0.147143	+	0.477859i
$101$	−8.31447	+	11.4439i	−0.827321	+	1.13871i	0.161095	+	0.986939i	$0.448497\pi$
$101$	−8.31447	+	11.4439i	−0.827321	+	1.13871i	−0.988416	+	0.151771i	$0.951503\pi$
$102$	−10.7304	+	3.13142i	−1.06247	+	0.310057i
$103$	2.07203	−	9.74812i	0.204163	−	0.960511i	−0.750050	−	0.661382i	$-0.769970\pi$
$103$	2.07203	−	9.74812i	0.204163	−	0.960511i	0.954213	−	0.299129i	$-0.0966963\pi$
$104$	−0.0775730	−	0.738057i	−0.00760665	−	0.0723725i
$105$	−13.0574	−	0.293748i	−1.27427	−	0.0286669i
$106$	−3.23086	+	2.90908i	−0.313809	+	0.282555i
$107$	−0.417527	+	3.97250i	−0.0403639	+	0.384036i	0.955627	+	0.294580i	$0.0951797\pi$
$107$	−0.417527	+	3.97250i	−0.0403639	+	0.384036i	−0.995991	+	0.0894566i	$0.971487\pi$
$108$	3.91001	+	3.42225i	0.376241	+	0.329307i
$109$	−3.06073	+	9.41994i	−0.293164	+	0.902267i	0.690668	+	0.723172i	$0.257317\pi$
$109$	−3.06073	+	9.41994i	−0.293164	+	0.902267i	−0.983832	+	0.179095i	$0.942683\pi$
$110$	5.10406	−	4.66762i	0.486653	−	0.445040i
$111$	9.15679	−	6.23899i	0.869124	−	0.592179i
$112$	2.50608	+	2.25649i	0.236802	+	0.213218i
$113$	0.743417	+	7.07314i	0.0699348	+	0.665385i	0.972192	+	0.234186i	$0.0752425\pi$
$113$	0.743417	+	7.07314i	0.0699348	+	0.665385i	−0.902257	+	0.431199i	$0.858091\pi$
$114$	0.660798	−	1.84236i	0.0618894	−	0.172552i
$115$	−4.52630	+	14.3057i	−0.422080	+	1.33401i
$116$	−6.62398	−	4.81260i	−0.615021	−	0.446839i
$117$	1.71884	+	1.41503i	0.158907	+	0.130819i
$118$	11.8984	−	6.86954i	1.09534	−	0.632392i
$119$	10.8817	−	18.8476i	0.997522	−	1.72776i
$120$	−0.890238	+	3.76928i	−0.0812673	+	0.344087i
$121$	1.40107	−	0.297808i	0.127370	−	0.0270734i
$122$	−2.39168	+	0.777103i	−0.216532	+	0.0703556i
$123$	10.2576	+	1.39260i	0.924896	+	0.125567i
$124$	3.05263	+	4.65633i	0.274134	+	0.418151i
$125$	6.36025	−	9.19495i	0.568878	−	0.822422i
$126$	−10.1069	+	0.447853i	−0.900392	+	0.0398979i
$127$	13.6905	−	2.91000i	1.21483	−	0.258220i	0.444450	−	0.895804i	$-0.353399\pi$
$127$	13.6905	−	2.91000i	1.21483	−	0.258220i	0.770381	+	0.637583i	$0.220066\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−11.6165	−	8.98841i	−1.02277	−	0.791385i
$130$	−0.332466	+	1.62579i	−0.0291592	+	0.142591i
$131$	1.70700	−	3.83399i	0.149141	−	0.334977i	−0.823490	−	0.567331i	$-0.807976\pi$
$131$	1.70700	−	3.83399i	0.149141	−	0.334977i	0.972631	+	0.232354i	$0.0746427\pi$
$132$	3.70353	−	3.87127i	0.322351	−	0.336951i
$133$	1.54998	+	3.48131i	0.134400	+	0.301868i
$134$	0.687840	−	3.23603i	0.0594203	−	0.279551i
$135$	−6.02733	−	9.93334i	−0.518750	−	0.854926i
$136$	−4.79598	−	4.31832i	−0.411252	−	0.370293i
$137$	13.7484	−	12.3791i	1.17461	−	1.05762i	0.177310	−	0.984155i	$-0.443260\pi$
$137$	13.7484	−	12.3791i	1.17461	−	1.05762i	0.997298	−	0.0734666i	$-0.0234062\pi$
$138$	−2.75885	+	11.2904i	−0.234849	+	0.961099i
$139$	1.17511	+	0.381815i	0.0996711	+	0.0323851i	0.358428	−	0.933557i	$-0.383313\pi$
$139$	1.17511	+	0.381815i	0.0996711	+	0.0323851i	−0.258757	+	0.965942i	$0.583313\pi$
$140$	−3.82065	−	6.50104i	−0.322903	−	0.549438i
$141$	−2.83220	−	0.692061i	−0.238514	−	0.0582820i
$142$	0.598856	−	0.539213i	0.0502549	−	0.0452497i
$143$	1.53599	−	1.70589i	0.128446	−	0.142654i
$144$	−0.493221	+	2.95918i	−0.0411018	+	0.246598i
$145$	10.8754	+	14.7281i	0.903154	+	1.22310i
$146$	11.2540	−	5.01060i	0.931387	−	0.414680i
$147$	5.23493	−	5.47203i	0.431770	−	0.451326i
$148$	5.84412	+	2.60197i	0.480383	+	0.213880i
$149$	11.4060	−	6.58527i	0.934418	−	0.539487i	0.0462119	−	0.998932i	$-0.485285\pi$
$149$	11.4060	−	6.58527i	0.934418	−	0.539487i	0.888206	+	0.459445i	$0.151952\pi$
$150$	4.44040	−	7.43524i	0.362558	−	0.607085i
$151$	−2.54535	−	3.50337i	−0.207138	−	0.285100i	0.692790	−	0.721139i	$-0.256381\pi$
$151$	−2.54535	−	3.50337i	−0.207138	−	0.285100i	−0.899928	+	0.436039i	$0.856381\pi$
$152$	1.10534	−	0.234947i	0.0896549	−	0.0190567i
$153$	19.3419	−	0.857073i	1.56370	−	0.0692902i
$154$			10.4309i			0.840550i
$155$	−3.36706	−	11.9859i	−0.270449	−	0.962734i
$156$	−0.172923	+	1.27371i	−0.0138449	+	0.101978i
$157$	−12.7694	+	4.14903i	−1.01911	+	0.331128i	−0.770475	−	0.637470i	$-0.779981\pi$
$157$	−12.7694	+	4.14903i	−1.01911	+	0.331128i	−0.248632	+	0.968598i	$0.579981\pi$
$158$	−1.84174	−	8.66471i	−0.146521	−	0.689328i
$159$	6.63211	−	3.56634i	0.525961	−	0.282829i
$160$	−2.12123	+	0.707392i	−0.167698	+	0.0559242i
$161$	−11.3144	−	19.5971i	−0.891701	−	1.54447i
$162$	−5.17176	−	7.36566i	−0.406332	−	0.578701i
$163$	11.0543	−	15.2149i	0.865836	−	1.19172i	−0.114310	−	0.993445i	$-0.536466\pi$
$163$	11.0543	−	15.2149i	0.865836	−	1.19172i	0.980146	−	0.198276i	$-0.0635343\pi$
$164$	2.43088	+	5.45985i	0.189820	+	0.426343i
$165$	−10.5069	+	5.75502i	−0.817958	+	0.448028i
$166$	6.06926	−	0.637905i	0.471066	−	0.0495110i
$167$	18.1024	+	16.2995i	1.40081	+	1.26129i	0.924059	+	0.382251i	$0.124851\pi$
$167$	18.1024	+	16.2995i	1.40081	+	1.26129i	0.476747	+	0.879040i	$0.341816\pi$
$168$	−3.28887	−	4.82699i	−0.253742	−	0.372410i
$169$	1.30130	−	12.3811i	0.100100	−	0.952389i
$170$	7.31172	+	12.4413i	0.560783	+	0.954203i
$171$	−1.86929	+	2.82817i	−0.142948	+	0.216276i
$172$	0.886408	−	8.43360i	0.0675879	−	0.643056i
$173$	13.6298	+	15.1374i	1.03625	+	1.15087i	0.988377	+	0.152020i	$0.0485778\pi$
$173$	13.6298	+	15.1374i	1.03625	+	1.15087i	0.0478736	+	0.998853i	$0.484756\pi$
$174$	9.16651	+	10.8208i	0.694912	+	0.820322i
$175$	3.76007	+	16.4367i	0.284235	+	1.24250i
$176$	3.02556	+	0.643104i	0.228061	+	0.0484758i
$177$	−22.8439	+	6.66645i	−1.71705	+	0.501081i
$178$	10.3718	+	7.53552i	0.777396	+	0.564811i
$179$	−13.4949	−	6.00831i	−1.00866	−	0.449082i	−0.165188	−	0.986262i	$-0.552823\pi$
$179$	−13.4949	−	6.00831i	−1.00866	−	0.449082i	−0.843468	+	0.537180i	$0.819490\pi$
$180$	3.04756	−	5.97598i	0.227152	−	0.445423i
$181$	−4.13492	−	2.38730i	−0.307346	−	0.177446i	0.338392	−	0.941005i	$-0.390117\pi$
$181$	−4.13492	−	2.38730i	−0.307346	−	0.177446i	−0.645738	+	0.763559i	$0.723450\pi$
$182$	−1.47101	−	2.02467i	−0.109039	−	0.150079i
$183$	4.34361	−	0.324204i	0.321089	−	0.0239659i
$184$	−6.38185	+	2.07359i	−0.470476	+	0.152867i
$185$	−10.7040	−	9.48919i	−0.786972	−	0.697659i
$186$	−3.22180	−	9.08955i	−0.236234	−	0.666478i
$187$		−	19.9621i		−	1.45977i
$188$	−0.520163	−	1.60090i	−0.0379368	−	0.116757i
$189$	17.1894	+	3.40178i	1.25035	+	0.247443i
$190$	−2.51495	−	0.244704i	−0.182454	−	0.0177527i
$191$	3.20717	+	1.85166i	0.232063	+	0.133981i	0.611523	−	0.791226i	$-0.290557\pi$
$191$	3.20717	+	1.85166i	0.232063	+	0.133981i	−0.379461	+	0.925208i	$0.623890\pi$
$192$	−1.60287	+	0.656359i	−0.115677	+	0.0473686i
$193$	3.61694	−	8.12377i	0.260353	−	0.584762i	−0.735317	−	0.677723i	$-0.762967\pi$
$193$	3.61694	−	8.12377i	0.260353	−	0.584762i	0.995670	+	0.0929616i	$0.0296334\pi$
$194$	2.41469	−	3.32353i	0.173364	−	0.238616i
$195$	1.22781	−	2.59878i	0.0879256	−	0.186103i
$196$	4.27663	+	0.909025i	0.305473	+	0.0649304i
$197$	17.0307	−	1.78999i	1.21338	−	0.127532i	0.523866	−	0.851800i	$-0.324489\pi$
$197$	17.0307	−	1.78999i	1.21338	−	0.127532i	0.689518	+	0.724269i	$0.257822\pi$
$198$	−7.82299	+	4.99094i	−0.555956	+	0.354691i
$199$	−4.66920	+	4.20416i	−0.330991	+	0.298025i	−0.817823	−	0.575470i	$-0.804819\pi$
$199$	−4.66920	+	4.20416i	−0.330991	+	0.298025i	0.486832	+	0.873496i	$0.338152\pi$
$200$	4.99940	−	0.0772537i	0.353511	−	0.00546266i
$201$	−2.48778	+	5.16198i	−0.175474	+	0.364098i
$202$	13.4531	+	4.37118i	0.946557	+	0.307555i
$203$	−27.4598	−	2.88614i	−1.92730	−	0.202567i
$204$	6.29404	+	9.23759i	0.440671	+	0.646761i
$205$	−1.49955	−	13.2796i	−0.104733	−	0.927486i
$206$	−9.91131	+	1.04172i	−0.690554	+	0.0725801i
$207$	9.28379	−	17.8623i	0.645268	−	1.24152i
$208$	−0.677963	+	0.301849i	−0.0470083	+	0.0209294i
$209$	2.82781	+	2.05453i	0.195604	+	0.142115i
$210$	3.75559	+	12.5091i	0.259161	+	0.863211i
$211$	1.42125	+	2.46167i	0.0978426	+	0.169468i	0.910791	−	0.412867i	$-0.135472\pi$
$211$	1.42125	+	2.46167i	0.0978426	+	0.169468i	−0.812949	+	0.582335i	$0.802139\pi$
$212$	3.76509	+	2.17378i	0.258588	+	0.149296i
$213$	−1.22929	+	0.661039i	−0.0842299	+	0.0452936i
$214$	3.90710	−	0.830479i	0.267084	−	0.0567704i
$215$	−7.57848	+	17.3817i	−0.516848	+	1.18542i
$216$	2.04650	−	4.77618i	0.139246	−	0.324978i
$217$	16.7663	+	8.45153i	1.13817	+	0.573727i
$218$	9.90472			0.670832
$219$	−20.9954	+	3.80363i	−1.41874	+	0.257026i
$220$	−6.01641	−	3.41188i	−0.405626	−	0.230029i
$221$	2.81513	+	3.87470i	0.189366	+	0.260640i
$222$	−8.76324	−	6.78067i	−0.588150	−	0.455089i
$223$	1.07891	+	1.86873i	0.0722494	+	0.125140i	0.899887	−	0.436123i	$-0.143649\pi$
$223$	1.07891	+	1.86873i	0.0722494	+	0.125140i	−0.827637	+	0.561263i	$0.810316\pi$
$224$	1.37162	−	3.08072i	0.0916455	−	0.205839i
$225$	−10.5281	+	10.6845i	−0.701873	+	0.712302i
$226$	6.49722	−	2.89275i	0.432189	−	0.192423i
$227$	12.0726	+	2.56610i	0.801284	+	0.170318i	0.590313	−	0.807174i	$-0.299004\pi$
$227$	12.0726	+	2.56610i	0.801284	+	0.170318i	0.210971	+	0.977492i	$0.432337\pi$
$228$	−1.95638	−	0.0591370i	−0.129565	−	0.00391644i
$229$	−20.6618	−	18.6039i	−1.36537	−	1.22938i	−0.947051	−	0.321083i	$-0.895953\pi$
$229$	−20.6618	−	18.6039i	−1.36537	−	1.22938i	−0.418318	−	0.908301i	$-0.637380\pi$
$230$	15.0042	−	0.115920i	0.989347	−	0.00764353i
$231$	4.28856	−	17.5506i	0.282166	−	1.15474i
$232$	−2.53013	+	7.78695i	−0.166111	+	0.511238i
$233$	7.01345	−	21.5852i	0.459466	−	1.41409i	−0.406344	−	0.913720i	$-0.633197\pi$
$233$	7.01345	−	21.5852i	0.459466	−	1.41409i	0.865810	−	0.500372i	$-0.166803\pi$
$234$	0.814621	−	2.07198i	0.0532535	−	0.135450i
$235$	0.0290786	+	3.76382i	0.00189688	+	0.245525i
$236$	−10.2101	−	9.19323i	−0.664622	−	0.598429i
$237$	−0.463572	+	15.3360i	−0.0301123	+	0.996180i
$238$	−21.2878	−	4.52486i	−1.37988	−	0.293303i
$239$	−9.78151	+	4.35501i	−0.632713	+	0.281702i	−0.697927	−	0.716169i	$-0.745894\pi$
$239$	−9.78151	+	4.35501i	−0.632713	+	0.281702i	0.0652135	+	0.997871i	$0.479227\pi$
$240$	3.85990	−	0.318105i	0.249155	−	0.0205336i
$241$	1.92676	−	4.32758i	0.124114	−	0.278764i	−0.840793	−	0.541356i	$-0.817911\pi$
$241$	1.92676	−	4.32758i	0.124114	−	0.278764i	0.964907	+	0.262593i	$0.0845776\pi$
$242$	−0.716188	−	1.24047i	−0.0460383	−	0.0797407i
$243$	5.67343	+	14.5194i	0.363951	+	0.931418i
$244$	1.47814	+	2.03448i	0.0946281	+	0.130244i
$245$	−8.50418	−	4.82268i	−0.543312	−	0.308110i
$246$	−1.84533	−	10.1859i	−0.117654	−	0.649429i
$247$	−0.838624			−0.0533603
$248$	3.48512	−	4.34211i	0.221305	−	0.275724i
$249$	−10.4741	−	1.42200i	−0.663768	−	0.0901153i
$250$	−10.7103	−	3.20756i	−0.677382	−	0.202864i
$251$	−20.3264	+	4.32051i	−1.28299	+	0.272708i	−0.798450	−	0.602061i	$-0.794347\pi$
$251$	−20.3264	+	4.32051i	−1.28299	+	0.272708i	−0.484541	+	0.874769i	$0.661013\pi$
$252$	3.54913	+	9.47382i	0.223574	+	0.596794i
$253$	−17.9752	−	10.3780i	−1.13009	−	0.652458i
$254$	−6.99815	−	12.1212i	−0.439103	−	0.760549i
$255$	−7.18723	−	23.9392i	−0.450081	−	1.49913i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−17.2729	+	7.69039i	−1.07745	+	0.479713i	−0.867213	−	0.497937i	$-0.834091\pi$
$257$	−17.2729	+	7.69039i	−1.07745	+	0.479713i	−0.210240	+	0.977650i	$0.567425\pi$
$258$	−4.95880	+	13.8255i	−0.308721	+	0.860738i
$259$	21.4548	−	2.25499i	1.33314	−	0.140118i
$260$	1.64896	−	0.186203i	0.102264	−	0.0115478i
$261$	−10.9743	−	21.9752i	−0.679289	−	1.36023i
$262$	−4.17383	−	0.438688i	−0.257860	−	0.0271022i
$263$	−12.0354	−	3.91054i	−0.742136	−	0.241134i	−0.0865418	−	0.996248i	$-0.527582\pi$
$263$	−12.0354	−	3.91054i	−0.742136	−	0.241134i	−0.655594	+	0.755114i	$0.727582\pi$
$264$	−4.82625	−	2.32598i	−0.297035	−	0.143154i
$265$	−6.56052	−	7.17396i	−0.403010	−	0.440693i
$266$	2.83196	−	2.54990i	0.173638	−	0.156345i
$267$	−14.3528	−	16.9431i	−0.878379	−	1.03690i
$268$	−3.29021	+	0.345815i	−0.200981	+	0.0211240i
$269$	8.21403	+	1.74595i	0.500818	+	0.106452i	0.451392	−	0.892326i	$-0.350927\pi$
$269$	8.21403	+	1.74595i	0.500818	+	0.106452i	0.0494260	+	0.998778i	$0.484261\pi$
$270$	−7.58462	+	8.80191i	−0.461585	+	0.535667i
$271$	12.1430	−	16.7134i	0.737634	−	1.01527i	−0.261117	−	0.965307i	$-0.584091\pi$
$271$	12.1430	−	16.7134i	0.737634	−	1.01527i	0.998751	−	0.0499594i	$-0.0159092\pi$
$272$	−2.62493	+	5.89569i	−0.159160	+	0.357479i
$273$	1.64263	+	4.01140i	0.0994163	+	0.242781i
$274$	−16.0218	−	9.25017i	−0.967910	−	0.558823i
$275$	10.5250	+	11.3321i	0.634680	+	0.683349i
$276$	11.5903	−	0.865093i	0.697654	−	0.0520725i
$277$	4.44295	+	13.6740i	0.266951	+	0.821590i	0.991238	+	0.132091i	$0.0421692\pi$
$277$	4.44295	+	13.6740i	0.266951	+	0.821590i	−0.724287	+	0.689499i	$0.757831\pi$
$278$		−	1.23558i		−	0.0741051i
$279$	1.68378	+	16.6182i	0.100805	+	0.994906i
$280$	−5.00221	+	5.64258i	−0.298939	+	0.337209i
$281$	21.1824	−	6.88257i	1.26363	−	0.410580i	0.400846	−	0.916146i	$-0.368716\pi$
$281$	21.1824	−	6.88257i	1.26363	−	0.410580i	0.862788	+	0.505566i	$0.168716\pi$
$282$	0.217010	+	2.90744i	0.0129227	+	0.173136i
$283$	3.32193	+	4.57224i	0.197468	+	0.271792i	0.896256	−	0.443538i	$-0.146277\pi$
$283$	3.32193	+	4.57224i	0.197468	+	0.271792i	−0.698788	+	0.715329i	$0.746277\pi$
$284$	−0.697879	−	0.402920i	−0.0414115	−	0.0239089i
$285$	4.13092	+	1.44572i	0.244695	+	0.0856369i
$286$	−2.09705	−	0.933665i	−0.124001	−	0.0552088i
$287$	16.3054	+	11.8465i	0.962474	+	0.699279i
$288$	2.96676	−	0.445355i	0.174818	−	0.0262428i
$289$	24.1107	+	5.12489i	1.41828	+	0.301464i
$290$	10.6466	−	14.8944i	0.625187	−	0.874627i
$291$	−5.42926	+	4.59923i	−0.318269	+	0.269612i
$292$	−8.24304	−	9.15483i	−0.482388	−	0.535746i
$293$	−0.714360	+	6.79668i	−0.0417334	+	0.397067i	0.953637	+	0.300958i	$0.0973063\pi$
$293$	−0.714360	+	6.79668i	−0.0417334	+	0.397067i	−0.995371	+	0.0961087i	$0.969360\pi$
$294$	−6.82189	−	3.28776i	−0.397861	−	0.191746i
$295$	15.5658	+	26.4861i	0.906278	+	1.54208i
$296$	0.668688	−	6.36214i	0.0388667	−	0.369792i
$297$	15.2145	−	5.18117i	0.882836	−	0.300642i
$298$	−9.78762	−	8.81281i	−0.566982	−	0.510513i
$299$	4.95257	−	0.520536i	0.286415	−	0.0301034i
$300$	−8.44349	−	1.92546i	−0.487485	−	0.111166i
$301$	−11.6315	−	26.1247i	−0.670426	−	1.50580i
$302$	−2.54535	+	3.50337i	−0.146468	+	0.201596i
$303$	−20.8383	−	12.8858i	−1.19713	−	0.740269i
$304$	−0.565017	−	0.978638i	−0.0324059	−	0.0561287i
$305$	−1.77892	−	5.33437i	−0.101861	−	0.305445i
$306$	−6.79211	−	18.1304i	−0.388279	−	1.03645i
$307$	−3.43793	−	16.1742i	−0.196213	−	0.923111i	−0.960510	−	0.278246i	$-0.910247\pi$
$307$	−3.43793	−	16.1742i	−0.196213	−	0.923111i	0.764297	−	0.644865i	$-0.223086\pi$
$308$	9.92042	−	3.22334i	0.565268	−	0.183667i
$309$	17.1045	+	2.32217i	0.973043	+	0.132104i
$310$	−10.3588	+	6.90613i	−0.588342	+	0.392242i
$311$			22.9195i			1.29964i	0.760086	+	0.649822i	$0.225157\pi$
$311$			22.9195i			1.29964i	−0.760086	+	0.649822i	$0.774843\pi$
$312$	1.26481	−	0.229138i	0.0716055	−	0.0129724i
$313$	−7.94492	+	1.68874i	−0.449073	+	0.0954534i	−0.426896	−	0.904301i	$-0.640393\pi$
$313$	−7.94492	+	1.68874i	−0.449073	+	0.0954534i	−0.0221769	+	0.999754i	$0.507060\pi$
$314$	7.89191	+	10.8623i	0.445367	+	0.612994i
$315$	−1.17600	−	22.5913i	−0.0662598	−	1.27287i
$316$	−7.67150	+	4.42914i	−0.431556	+	0.249159i
$317$	20.6468	+	9.19257i	1.15964	+	0.516306i	0.894133	−	0.447802i	$-0.147793\pi$
$317$	20.6468	+	9.19257i	1.15964	+	0.516306i	0.265510	+	0.964108i	$0.414460\pi$
$318$	−5.44122	−	5.20545i	−0.305129	−	0.291907i
$319$	−23.1363	+	10.3009i	−1.29538	+	0.576741i
$320$	1.32826	+	1.79881i	0.0742522	+	0.100556i
$321$	−6.91532	−	0.209034i	−0.385975	−	0.0116672i
$322$	−15.1416	+	16.8165i	−0.843811	+	0.937147i
$323$	−5.41962	+	4.87985i	−0.301556	+	0.271522i
$324$	−5.40699	+	7.19475i	−0.300389	+	0.399708i
$325$	−3.64102	−	0.715309i	−0.201967	−	0.0396782i
$326$	−17.8862	−	5.81157i	−0.990623	−	0.321873i
$327$	−16.6652	−	4.07220i	−0.921585	−	0.225193i
$328$	4.44144	−	3.99909i	0.245238	−	0.220813i
$329$	−4.21844	−	3.79830i	−0.232570	−	0.209407i
$330$	8.72015	+	8.21422i	0.480028	+	0.452178i
$331$	−1.36400	+	6.41713i	−0.0749723	+	0.352717i	−0.999604	−	0.0281459i	$-0.991040\pi$
$331$	−1.36400	+	6.41713i	−0.0749723	+	0.352717i	0.924631	+	0.380863i	$0.124373\pi$
$332$	−2.48219	−	5.57509i	−0.136228	−	0.305973i
$333$	11.9568	+	15.0117i	0.655227	+	0.822636i
$334$	9.90777	−	22.2532i	0.542129	−	1.21764i
$335$	7.24766	+	1.48211i	0.395982	+	0.0809763i
$336$	−3.57442	+	4.61953i	−0.195001	+	0.252016i
$337$	−20.1510	+	14.6405i	−1.09769	+	0.797520i	−0.980682	−	0.195610i	$-0.937331\pi$
$337$	−20.1510	+	14.6405i	−1.09769	+	0.797520i	−0.117011	+	0.993131i	$0.537331\pi$
$338$	−12.1772	+	2.58835i	−0.662353	+	0.140787i
$339$	−12.1212	+	2.19594i	−0.658334	+	0.119267i
$340$	9.57293	−	10.7984i	0.519165	−	0.585627i
$341$	17.1943	−	0.975860i	0.931124	−	0.0528458i
$342$	3.26739	+	0.903843i	0.176680	+	0.0488742i
$343$	−8.42801	+	2.73843i	−0.455070	+	0.147861i
$344$	−8.29475	+	1.76310i	−0.447223	+	0.0950602i
$345$	−25.2929	−	5.97375i	−1.36173	−	0.321616i
$346$	10.1847	−	17.6404i	0.547531	−	0.948352i
$347$	21.5855	−	12.4624i	1.15877	−	0.669017i	0.207762	−	0.978179i	$-0.433382\pi$
$347$	21.5855	−	12.4624i	1.15877	−	0.669017i	0.951009	+	0.309162i	$0.100049\pi$
$348$	7.45858	−	12.0617i	0.399822	−	0.646574i
$349$	16.7154	+	12.1445i	0.894755	+	0.650078i	0.937114	−	0.349025i	$-0.113487\pi$
$349$	16.7154	+	12.1445i	0.894755	+	0.650078i	−0.0423582	+	0.999102i	$0.513487\pi$
$350$	14.4703	−	8.65527i	0.773472	−	0.462644i
$351$	−2.22251	+	3.15129i	−0.118629	+	0.168203i
$352$	−0.323323	−	3.07621i	−0.0172332	−	0.163963i
$353$	−19.5845	−	17.6339i	−1.04238	−	0.938560i	−0.0442057	−	0.999022i	$-0.514076\pi$
$353$	−19.5845	−	17.6339i	−1.04238	−	0.938560i	−0.998170	+	0.0604628i	$0.980742\pi$
$354$	13.3993	+	19.6658i	0.712166	+	1.04523i
$355$	1.21603	+	1.32973i	0.0645399	+	0.0705747i
$356$	3.96166	−	12.1927i	0.209968	−	0.646214i
$357$	33.9574	+	16.3655i	1.79721	+	0.866154i
$358$	−1.54409	+	14.6911i	−0.0816079	+	0.776447i
$359$	18.0056	−	16.2123i	0.950300	−	0.855654i	−0.0393402	−	0.999226i	$-0.512526\pi$
$359$	18.0056	−	16.2123i	0.950300	−	0.855654i	0.989640	+	0.143572i	$0.0458589\pi$
$360$	−6.62525	−	1.05172i	−0.349181	−	0.0554307i
$361$	1.85256	+	17.6259i	0.0975032	+	0.927681i
$362$	−0.992694	+	4.67026i	−0.0521748	+	0.245463i
$363$	0.695015	+	2.38161i	0.0364788	+	0.125002i
$364$	−1.47101	+	2.02467i	−0.0771020	+	0.106122i
$365$	11.3981	+	25.0774i	0.596605	+	1.31261i
$366$	−1.65059	−	4.03083i	−0.0862775	−	0.210695i
$367$	11.1806	−	19.3654i	0.583623	−	1.01086i	−0.411423	−	0.911445i	$-0.634968\pi$
$367$	11.1806	−	19.3654i	0.583623	−	1.01086i	0.995046	−	0.0994197i	$-0.0316986\pi$
$368$	3.94420	+	5.42873i	0.205606	+	0.282992i
$369$	−1.08296	+	17.8969i	−0.0563765	+	0.931677i
$370$	−5.71705	+	13.1124i	−0.297215	+	0.681681i
$371$	14.6611			0.761167
$372$	−7.64909	+	5.87294i	−0.396587	+	0.304498i
$373$			19.5490i			1.01221i	0.862472	+	0.506104i	$0.168915\pi$
$373$			19.5490i			1.01221i	−0.862472	+	0.506104i	$0.831085\pi$
$374$	−18.9851	+	6.16863i	−0.981696	+	0.318972i
$375$	16.7019	+	9.80031i	0.862483	+	0.506086i
$376$	−1.36180	+	0.989408i	−0.0702297	+	0.0510248i
$377$	3.03813	−	5.26220i	0.156472	−	0.271017i
$378$	−2.07654	−	17.3993i	−0.106805	−	0.894925i
$379$	15.5724	+	6.93330i	0.799903	+	0.356140i	0.765637	−	0.643273i	$-0.222424\pi$
$379$	15.5724	+	6.93330i	0.799903	+	0.356140i	0.0342659	+	0.999413i	$0.489091\pi$
$380$	0.544437	+	2.46748i	0.0279290	+	0.126579i
$381$	6.79126	+	23.2716i	0.347927	+	1.19224i
$382$	0.769964	−	3.62239i	0.0393948	−	0.185338i
$383$	−19.1118	+	2.00873i	−0.976566	+	0.102641i	−0.579346	−	0.815082i	$-0.696692\pi$
$383$	−19.1118	+	2.00873i	−0.976566	+	0.102641i	−0.397220	+	0.917723i	$0.630025\pi$
$384$	1.11955	+	1.32159i	0.0571317	+	0.0674423i
$385$	−23.3236	+	0.180194i	−1.18868	+	0.00918355i
$386$	−8.84386	−	0.929527i	−0.450141	−	0.0473117i
$387$	14.0276	−	21.2233i	0.713063	−	1.07884i
$388$	−3.90705	−	1.26948i	−0.198350	−	0.0644479i
$389$	−1.43632	+	13.6657i	−0.0728244	+	0.692878i	0.895818	+	0.444420i	$0.146590\pi$
$389$	−1.43632	+	13.6657i	−0.0728244	+	0.692878i	−0.968643	+	0.248458i	$0.920076\pi$
$390$	−2.85100	−	0.364653i	−0.144366	−	0.0184649i
$391$	28.9771	−	32.1824i	1.46544	−	1.62753i
$392$	−0.457016	−	4.34822i	−0.0230828	−	0.219618i
$393$	6.84231	+	2.45413i	0.345149	+	0.123795i
$394$	−6.96515	−	15.6440i	−0.350899	−	0.788132i
$395$	19.3425	−	4.26782i	0.973227	−	0.214737i
$396$	7.16410	+	5.89782i	0.360010	+	0.296377i
$397$	16.0295	−	9.25464i	0.804498	−	0.464477i	−0.0405434	−	0.999178i	$-0.512909\pi$
$397$	16.0295	−	9.25464i	0.804498	−	0.464477i	0.845042	+	0.534701i	$0.179576\pi$
$398$	5.44126	+	3.14151i	0.272746	+	0.157470i
$399$	−5.81326	+	3.12601i	−0.291027	+	0.156496i
$400$	−1.61837	−	4.73084i	−0.0809187	−	0.236542i
$401$	10.6534	+	32.7878i	0.532006	+	1.63735i	0.750031	+	0.661403i	$0.230039\pi$
$401$	10.6534	+	32.7878i	0.532006	+	1.63735i	−0.218025	+	0.975943i	$0.569961\pi$
$402$	5.67810	+	0.770878i	0.283198	+	0.0384479i
$403$	−3.19984	+	2.61422i	−0.159395	+	0.130224i
$404$		−	14.1454i		−	0.703761i
$405$	16.3803	−	11.6913i	0.813942	−	0.580946i
$406$	5.74066	+	27.0077i	0.284904	+	1.34037i
$407$	16.0084	−	11.6308i	0.793508	−	0.576517i
$408$	6.84051	−	8.84057i	0.338656	−	0.437673i
$409$	8.74086	−	5.04654i	0.432208	−	0.249535i	−0.268079	−	0.963397i	$-0.586389\pi$
$409$	8.74086	−	5.04654i	0.432208	−	0.249535i	0.700287	+	0.713862i	$0.253056\pi$
$410$	−12.1662	+	5.52978i	−0.600848	+	0.273096i
$411$	23.1543	+	22.1510i	1.14212	+	1.09263i
$412$	4.05350	+	9.10430i	0.199701	+	0.448537i
$413$	−45.3193	−	9.63292i	−2.23002	−	0.474005i
$414$	−19.8569	−	3.30965i	−0.975914	−	0.162660i
$415$	1.53120	+	13.5599i	0.0751638	+	0.665627i
$416$	0.496577	+	0.551505i	0.0243467	+	0.0270397i
$417$	−0.507993	+	2.07892i	−0.0248765	+	0.101805i
$418$	1.08013	−	3.32430i	0.0528308	−	0.162597i
$419$	−4.73713	−	1.53919i	−0.231424	−	0.0751941i	0.191009	−	0.981588i	$-0.438824\pi$
$419$	−4.73713	−	1.53919i	−0.231424	−	0.0751941i	−0.422433	+	0.906394i	$0.638824\pi$
$420$	10.7363	−	7.43731i	0.523880	−	0.362904i
$421$	9.44732	+	10.4923i	0.460434	+	0.511364i	0.927993	−	0.372598i	$-0.121533\pi$
$421$	9.44732	+	10.4923i	0.460434	+	0.511364i	−0.467559	+	0.883962i	$0.654866\pi$
$422$	1.90200	−	2.11238i	0.0925878	−	0.102829i
$423$	0.830230	−	4.98113i	0.0403672	−	0.242191i
$424$	0.903907	−	4.25255i	0.0438976	−	0.206522i
$425$	−27.6924	+	16.5639i	−1.34328	+	0.803469i
$426$	1.00856	+	0.964857i	0.0488648	+	0.0467475i
$427$	7.74726	+	3.44930i	0.374916	+	0.166924i
$428$	−1.99719	−	3.45924i	−0.0965379	−	0.167209i
$429$	3.14451	+	2.43311i	0.151819	+	0.117472i
$430$	18.8729	+	1.83632i	0.910130	+	0.0885551i
$431$	−2.90217	−	13.6537i	−0.139793	−	0.657673i	−0.991113	−	0.133026i	$-0.957531\pi$
$431$	−2.90217	−	13.6537i	−0.139793	−	0.657673i	0.851320	−	0.524647i	$-0.175803\pi$
$432$	−5.17481	−	0.470415i	−0.248973	−	0.0226329i
$433$	11.6556			0.560133			0.280067	−	0.959981i	$-0.409643\pi$
$433$	11.6556			0.560133			0.280067	+	0.959981i	$0.409643\pi$
$434$	2.85681	−	18.5574i	0.137131	−	0.890782i
$435$	−24.0370	+	20.6833i	−1.15248	+	0.991687i
$436$	−3.06073	−	9.41994i	−0.146582	−	0.451134i
$437$	1.57656	+	7.41714i	0.0754171	+	0.354810i
$438$	10.1054	+	18.7925i	0.482855	+	0.897938i
$439$	−8.71795	+	15.0999i	−0.416085	+	0.720680i	−0.995542	−	0.0943227i	$-0.969931\pi$
$439$	−8.71795	+	15.0999i	−0.416085	+	0.720680i	0.579457	+	0.815003i	$0.303265\pi$
$440$	−1.38571	+	6.77628i	−0.0660613	+	0.323046i
$441$	10.1264	+	8.33655i	0.482211	+	0.396979i
$442$	2.81513	−	3.87470i	0.133902	−	0.184301i
$443$	−26.4471	+	11.7750i	−1.25654	+	0.559448i	−0.923549	−	0.383481i	$-0.874725\pi$
$443$	−26.4471	+	11.7750i	−1.25654	+	0.559448i	−0.332993	+	0.942929i	$0.608059\pi$
$444$	−3.74081	+	10.4297i	−0.177531	+	0.494971i
$445$	−16.6703	+	23.3214i	−0.790247	+	1.10554i
$446$	1.44387	−	1.60358i	0.0683692	−	0.0759317i
$447$	12.8449	+	18.8520i	0.607541	+	0.891671i
$448$	−3.35379	−	0.352498i	−0.158452	−	0.0166539i
$449$	−5.64429	+	17.3713i	−0.266371	+	0.819804i	0.725004	+	0.688745i	$0.241838\pi$
$449$	−5.64429	+	17.3713i	−0.266371	+	0.819804i	−0.991375	+	0.131059i	$0.958162\pi$
$450$	13.4150	+	6.71112i	0.632387	+	0.316365i
$451$	18.3852	+	1.93236i	0.865723	+	0.0909912i
$452$	−4.75892	−	5.28532i	−0.223841	−	0.248600i
$453$	5.72304	−	4.84810i	0.268892	−	0.227784i
$454$	−1.29012	−	12.2747i	−0.0605483	−	0.576078i
$455$	4.50176	−	3.32416i	0.211046	−	0.155839i
$456$	0.548313	+	1.87890i	0.0256771	+	0.0879877i
$457$	−15.0762	−	10.9535i	−0.705237	−	0.512384i	0.176397	−	0.984319i	$-0.443556\pi$
$457$	−15.0762	−	10.9535i	−0.705237	−	0.512384i	−0.881633	+	0.471935i	$0.843556\pi$
$458$	−11.3086	+	25.3995i	−0.528415	+	1.18684i
$459$	3.97395	+	33.2978i	0.185488	+	1.55421i
$460$	−4.74680	−	14.2340i	−0.221321	−	0.663664i
$461$	14.6964	−	10.6775i	0.684478	−	0.497303i	−0.190362	−	0.981714i	$-0.560966\pi$
$461$	14.6964	−	10.6775i	0.684478	−	0.497303i	0.874840	+	0.484411i	$0.160966\pi$
$462$	−18.0168	+	1.34476i	−0.838218	+	0.0625641i
$463$	10.0787	+	31.0189i	0.468395	+	1.44157i	0.854662	+	0.519185i	$0.173765\pi$
$463$	10.0787	+	31.0189i	0.468395	+	1.44157i	−0.386266	+	0.922387i	$0.626235\pi$
$464$	8.18768			0.380104
$465$	20.2686	−	7.36098i	0.939934	−	0.341357i
$466$	−22.6960			−1.05137
$467$	−2.32902	−	7.16799i	−0.107774	−	0.331695i	0.882597	−	0.470130i	$-0.155793\pi$
$467$	−2.32902	−	7.16799i	−0.107774	−	0.331695i	−0.990372	+	0.138435i	$0.955793\pi$
$468$	−2.22230	−	0.134473i	−0.102726	−	0.00621603i
$469$	−9.02585	+	6.55766i	−0.416775	+	0.302805i
$470$	3.57062	−	1.19074i	0.164700	−	0.0549247i
$471$	−8.81262	−	21.5210i	−0.406064	−	0.991634i
$472$	−5.58818	+	12.5513i	−0.257217	+	0.577719i
$473$	−21.2206	−	15.4177i	−0.975726	−	0.708907i
$474$	14.7287	−	4.29820i	0.676510	−	0.197423i
$475$	0.503712	−	5.62767i	0.0231119	−	0.258215i
$476$	2.27489	+	21.6441i	0.104269	+	0.992057i
$477$	7.01496	+	10.9955i	0.321193	+	0.503450i
$478$	7.16451	+	7.95699i	0.327697	+	0.363944i
$479$	−9.34376	−	0.982069i	−0.426927	−	0.0448719i	−0.111371	−	0.993779i	$-0.535524\pi$
$479$	−9.34376	−	0.982069i	−0.426927	−	0.0448719i	−0.315556	+	0.948907i	$0.602191\pi$
$480$	−1.49531	−	3.57268i	−0.0682512	−	0.163070i
$481$	−1.46706	+	4.51514i	−0.0668920	+	0.205872i
$482$	−4.71117	−	0.495164i	−0.214588	−	0.0225541i
$483$	32.3904	−	22.0693i	1.47382	−	1.00419i
$484$	−0.958446	+	1.06446i	−0.0435657	+	0.0483847i
$485$	7.47314	+	5.34183i	0.339338	+	0.242560i
$486$	12.0556	−	9.88249i	0.546851	−	0.448279i
$487$	7.73010	−	3.44166i	0.350284	−	0.155957i	−0.224050	−	0.974578i	$-0.571928\pi$
$487$	7.73010	−	3.44166i	0.350284	−	0.155957i	0.574334	+	0.818621i	$0.305261\pi$
$488$	1.47814	−	2.03448i	0.0669122	−	0.0920967i
$489$	27.7050	+	17.1319i	1.25286	+	0.774732i
$490$	−1.95870	+	9.57825i	−0.0884852	+	0.432701i
$491$	−7.88674	+	13.6602i	−0.355923	+	0.616478i	−0.987276	−	0.159019i	$-0.949167\pi$
$491$	−7.88674	+	13.6602i	−0.355923	+	0.616478i	0.631352	+	0.775496i	$0.282500\pi$
$492$	−9.11712	+	4.90262i	−0.411032	+	0.221027i
$493$	−10.9861	−	51.6856i	−0.494790	−	2.32780i
$494$	0.259149	+	0.797578i	0.0116597	+	0.0358848i
$495$	−11.2949	−	17.4060i	−0.507667	−	0.782341i
$496$	−5.20655	−	1.97276i	−0.233781	−	0.0885796i
$497$	−2.71751			−0.121897
$498$	1.88427	+	10.4009i	0.0844362	+	0.466074i
$499$	−0.0761304	−	0.358166i	−0.00340807	−	0.0160337i	0.976411	−	0.215922i	$-0.0692755\pi$
$499$	−0.0761304	−	0.358166i	−0.00340807	−	0.0160337i	−0.979819	+	0.199888i	$0.935942\pi$
$500$	0.259104	+	11.1773i	0.0115875	+	0.499866i
$501$	−25.8194	+	33.3686i	−1.15353	+	1.49080i
$502$	10.3903	+	17.9964i	0.463740	+	0.803221i
$503$	−11.4709	−	5.10716i	−0.511461	−	0.227717i	0.134745	−	0.990880i	$-0.456979\pi$
$503$	−11.4709	−	5.10716i	−0.511461	−	0.227717i	−0.646206	+	0.763163i	$0.723645\pi$
$504$	7.91339	−	6.30299i	0.352491	−	0.280758i
$505$	−9.54155	+	30.1567i	−0.424594	+	1.34195i
$506$	−4.31540	+	20.3024i	−0.191843	+	0.902551i
$507$	21.5529	+	0.651495i	0.957198	+	0.0289339i
$508$	−9.36536	+	10.4013i	−0.415521	+	0.461482i
$509$	−22.6733	−	25.1812i	−1.00497	−	1.11614i	−0.993225	−	0.116207i	$-0.962926\pi$
$509$	−22.6733	−	25.1812i	−1.00497	−	1.11614i	−0.0117499	−	0.999931i	$-0.503740\pi$
$510$	−20.5465	+	14.2331i	−0.909816	+	0.630251i
$511$	−39.5098	−	12.8375i	−1.74781	−	0.567898i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−5.12594	−	2.86411i	−0.226316	−	0.126453i
$514$	12.6516	+	14.0510i	0.558039	+	0.619765i
$515$	−2.50051	−	22.1437i	−0.110185	−	0.975768i
$516$	14.6812	+	0.443779i	0.646303	+	0.0195363i
$517$	−5.09288	−	1.08252i	−0.223985	−	0.0476094i
$518$	−8.77453	−	19.7079i	−0.385531	−	0.865916i
$519$	−24.3888	+	25.4935i	−1.07055	+	1.11904i
$520$	−0.686646	−	1.51071i	−0.0301114	−	0.0662491i
$521$	−14.4850	+	8.36295i	−0.634601	+	0.366387i	−0.782532	−	0.622610i	$-0.786072\pi$
$521$	−14.4850	+	8.36295i	−0.634601	+	0.366387i	0.147931	+	0.988998i	$0.452739\pi$
$522$	−17.5084	+	17.2278i	−0.766323	+	0.754042i
$523$	−7.19208	+	5.22536i	−0.314488	+	0.228489i	−0.733820	−	0.679344i	$-0.762264\pi$
$523$	−7.19208	+	5.22536i	−0.314488	+	0.228489i	0.419332	+	0.907833i	$0.362264\pi$
$524$	0.872569	+	4.10511i	0.0381183	+	0.179333i
$525$	−27.9055	+	8.61361i	−1.21790	+	0.375929i
$526$			12.6548i			0.551775i
$527$	−5.46718	+	35.5140i	−0.238154	+	1.54701i
$528$	−0.720741	+	5.30880i	−0.0313662	+	0.231036i
$529$	−6.80697	−	20.9497i	−0.295955	−	0.910857i
$530$	−4.79553	+	8.45630i	−0.208304	+	0.367318i
$531$	−14.4596	−	38.5976i	−0.627495	−	1.67499i
$532$	−3.30023	−	1.90539i	−0.143083	−	0.0826090i
$533$	−3.84111	+	2.21767i	−0.166377	+	0.0960579i
$534$	−11.6786	+	18.8861i	−0.505381	+	0.817280i
$535$	1.92445	+	8.72193i	0.0832011	+	0.377082i
$536$	1.34562	+	3.02231i	0.0581219	+	0.130544i
$537$	8.63806	−	24.0836i	0.372760	−	1.03928i
$538$	−0.877782	−	8.35154i	−0.0378439	−	0.360060i
$539$	9.04920	−	10.0502i	0.389776	−	0.432891i
$540$	10.7149	+	4.49346i	0.461095	+	0.193368i
$541$	0.953571	−	9.07262i	0.0409972	−	0.390062i	−0.954712	−	0.297530i	$-0.903837\pi$
$541$	0.953571	−	9.07262i	0.0409972	−	0.390062i	0.995710	−	0.0925323i	$-0.0294962\pi$
$542$	−19.6478	−	6.38395i	−0.843944	−	0.274214i
$543$	3.59037	−	7.44980i	0.154078	−	0.319701i
$544$	6.41828	+	0.674588i	0.275181	+	0.0289227i
$545$	0.171104	+	22.1470i	0.00732928	+	0.948671i
$546$	3.30747	−	2.80182i	0.141547	−	0.119907i
$547$	23.5745	−	2.47778i	1.00797	−	0.105942i	0.413873	−	0.910335i	$-0.364176\pi$
$547$	23.5745	−	2.47778i	1.00797	−	0.105942i	0.594098	+	0.804393i	$0.297509\pi$
$548$	−3.84644	+	18.0961i	−0.164312	+	0.773026i
$549$	1.11996	+	7.46069i	0.0477988	+	0.318414i
$550$	7.52503	−	13.5116i	0.320868	−	0.576139i
$551$	8.45245	+	3.76327i	0.360086	+	0.160321i
$552$	−4.40435	−	10.7557i	−0.187462	−	0.457793i
$553$	−14.9362	+	25.8703i	−0.635154	+	1.10012i
$554$	11.6318	−	8.45099i	0.494187	−	0.359048i
$555$	15.0102	−	19.7117i	0.637148	−	0.836717i
$556$	−1.17511	+	0.381815i	−0.0498356	+	0.0161926i
$557$			8.33131i			0.353009i	0.984300	+	0.176505i	$0.0564790\pi$
$557$			8.33131i			0.353009i	−0.984300	+	0.176505i	$0.943521\pi$
$558$	15.2845	−	6.73668i	0.647046	−	0.285186i
$559$	6.29325			0.266176
$560$	6.91218	+	3.01373i	0.292093	+	0.127353i
$561$	34.4795	−	2.57353i	1.45572	−	0.108654i
$562$	−13.0914	−	18.0188i	−0.552228	−	0.760077i
$563$	−6.19252	+	10.7258i	−0.260984	+	0.452037i	−0.966504	−	0.256653i	$-0.917380\pi$
$563$	−6.19252	+	10.7258i	−0.260984	+	0.452037i	0.705520	+	0.708690i	$0.250714\pi$
$564$	2.69808	−	1.10484i	0.113610	−	0.0465221i
$565$	6.58043	+	14.4778i	0.276841	+	0.609087i
$566$	3.32193	−	4.57224i	0.139631	−	0.192186i
$567$	−3.65965	+	30.1289i	−0.153691	+	1.26530i
$568$	−0.167544	+	0.788231i	−0.00702998	+	0.0330734i
$569$	−2.54292	−	24.1943i	−0.106605	−	1.01428i	−0.908805	−	0.417221i	$-0.863004\pi$
$569$	−2.54292	−	24.1943i	−0.106605	−	1.01428i	0.802200	−	0.597055i	$-0.203663\pi$
$570$	0.0984339	−	4.37549i	0.00412294	−	0.183269i
$571$	−2.23930	+	2.01627i	−0.0937117	+	0.0843784i	−0.714655	−	0.699477i	$-0.753416\pi$
$571$	−2.23930	+	2.01627i	−0.0937117	+	0.0843784i	0.620943	+	0.783855i	$0.286750\pi$
$572$	−0.239945	+	2.28293i	−0.0100326	+	0.0954540i
$573$	−2.78480	+	5.77829i	−0.116337	+	0.241392i
$574$	6.22809	−	19.1681i	0.259955	−	0.800061i
$575$	0.518394	+	33.5474i	0.0216185	+	1.39902i
$576$	−1.34034	−	2.68393i	−0.0558474	−	0.111831i
$577$	−16.8338	−	15.1572i	−0.700798	−	0.631002i	0.239681	−	0.970852i	$-0.422957\pi$
$577$	−16.8338	−	15.1572i	−0.700798	−	0.631002i	−0.940480	+	0.339850i	$0.889624\pi$
$578$	−2.57656	−	24.5143i	−0.107171	−	1.01966i
$579$	14.4980	+	5.20002i	0.602518	+	0.216105i
$580$	−17.4553	−	5.52286i	−0.724794	−	0.229324i
$581$	−16.6495	−	12.0966i	−0.690737	−	0.501850i
$582$	6.05186	+	3.74229i	0.250858	+	0.155123i
$583$	11.6460	−	6.72383i	0.482329	−	0.278473i
$584$	−6.15952	+	10.6686i	−0.254883	+	0.441470i
$585$	4.64703	+	1.78570i	0.192131	+	0.0738296i
$586$	6.68478	−	1.42089i	0.276146	−	0.0586966i
$587$	−7.67145	+	2.49260i	−0.316635	+	0.102881i	−0.463023	−	0.886346i	$-0.653235\pi$
$587$	−7.67145	+	2.49260i	−0.316635	+	0.102881i	0.146388	+	0.989227i	$0.453235\pi$
$588$	−1.01877	+	7.50398i	−0.0420132	+	0.309459i
$589$	−4.46819	−	4.42962i	−0.184108	−	0.182519i
$590$	20.3797	−	22.9887i	0.839019	−	0.946428i
$591$	5.28736	+	29.1854i	0.217493	+	1.20053i
$592$	−6.25739	+	1.33005i	−0.257177	+	0.0546647i
$593$	28.9801	−	21.0553i	1.19007	−	0.864638i	0.196800	−	0.980444i	$-0.436945\pi$
$593$	28.9801	−	21.0553i	1.19007	−	0.864638i	0.993272	+	0.115806i	$0.0369450\pi$
$594$	−9.62912	−	12.8688i	−0.395088	−	0.528013i
$595$	9.74984	−	47.6777i	0.399704	−	1.95459i
$596$	−5.35694	+	12.0319i	−0.219429	+	0.492845i
$597$	−7.86358	−	7.52285i	−0.321835	−	0.307890i
$598$	−2.02549	−	4.54932i	−0.0828284	−	0.186036i
$599$	−3.54571	+	16.6812i	−0.144874	+	0.681577i	0.844425	+	0.535673i	$0.179942\pi$
$599$	−3.54571	+	16.6812i	−0.144874	+	0.681577i	−0.989299	+	0.145903i	$0.953391\pi$
$600$	0.777962	+	8.62524i	0.0317602	+	0.352124i
$601$	−21.5922	−	19.4417i	−0.880765	−	0.793044i	0.0986035	−	0.995127i	$-0.468562\pi$
$601$	−21.5922	−	19.4417i	−0.880765	−	0.793044i	−0.979369	+	0.202082i	$0.935229\pi$
$602$	−21.2517	+	19.1351i	−0.866155	+	0.779890i
$603$	−9.23674	−	3.63152i	−0.376149	−	0.147887i
$604$	4.11846	+	1.33817i	0.167578	+	0.0544493i
$605$	2.76133	−	1.62283i	0.112264	−	0.0659773i
$606$	−5.81572	+	23.8003i	−0.236247	+	0.966823i
$607$	−35.1627	+	31.6607i	−1.42721	+	1.28507i	−0.526825	+	0.849974i	$0.676618\pi$
$607$	−35.1627	+	31.6607i	−1.42721	+	1.28507i	−0.900386	+	0.435093i	$0.856716\pi$
$608$	−0.756140	+	0.839778i	−0.0306655	+	0.0340575i
$609$	1.44494	−	47.8019i	0.0585520	−	1.93703i
$610$	−4.52357	+	3.34027i	−0.183154	+	0.135243i
$611$	1.14120	−	0.508096i	0.0461681	−	0.0205554i
$612$	−15.1442	+	12.0623i	−0.612167	+	0.487589i
$613$	31.9891	+	14.2425i	1.29203	+	0.575249i	0.933603	−	0.358309i	$-0.116647\pi$
$613$	31.9891	+	14.2425i	1.29203	+	0.575249i	0.358427	+	0.933558i	$0.383313\pi$
$614$	−14.3202	+	8.26778i	−0.577917	+	0.333660i
$615$	22.7438	−	4.30211i	0.917118	−	0.173478i
$616$	−6.13116	−	8.43881i	−0.247031	−	0.340009i
$617$	3.60161	−	0.765546i	0.144995	−	0.0308197i	−0.134842	−	0.990867i	$-0.543053\pi$
$617$	3.60161	−	0.765546i	0.144995	−	0.0308197i	0.279838	+	0.960047i	$0.409719\pi$
$618$	−3.07708	−	16.9850i	−0.123778	−	0.683236i
$619$		−	25.5427i		−	1.02665i	−0.858195	−	0.513325i	$-0.828414\pi$
$619$		−	25.5427i		−	1.02665i	0.858195	−	0.513325i	$-0.171586\pi$
$620$	9.76917	+	7.71773i	0.392339	+	0.309951i
$621$	32.0495	+	13.7326i	1.28610	+	0.551069i
$622$	21.7977	−	7.08251i	0.874009	−	0.283983i
$623$	−8.98867	−	42.2884i	−0.360123	−	1.69425i
$624$	−0.608770	−	1.13209i	−0.0243703	−	0.0453200i
$625$	6.98710	−	24.0038i	0.279484	−	0.960150i
$626$	4.06120	+	7.03421i	0.162318	+	0.281144i
$627$	−3.18411	+	5.14920i	−0.127161	+	0.205639i
$628$	7.89191	−	10.8623i	0.314922	−	0.433453i
$629$	16.7921	+	37.7158i	0.669547	+	1.50383i
$630$	−21.1222	+	8.09952i	−0.841527	+	0.322693i
$631$	−19.9175	+	2.09342i	−0.792904	+	0.0833376i	−0.492316	−	0.870417i	$-0.663850\pi$
$631$	−19.9175	+	2.09342i	−0.792904	+	0.0833376i	−0.300588	+	0.953754i	$0.597183\pi$
$632$	6.58299	+	5.92735i	0.261857	+	0.235777i
$633$	−4.06868	+	2.77220i	−0.161716	+	0.110185i
$634$	2.36243	−	22.4770i	0.0938239	−	0.892675i
$635$	26.9820	−	15.8573i	1.07075	−	0.629277i
$636$	−3.26925	+	6.78349i	−0.129634	+	0.268983i
$637$	−0.339162	+	3.22691i	−0.0134381	+	0.127855i
$638$	16.9463	+	18.8207i	0.670909	+	0.745120i
$639$	−1.30026	−	2.03807i	−0.0514374	−	0.0806249i
$640$	1.30031	−	1.81912i	0.0513994	−	0.0719069i
$641$	−23.4908	−	4.99311i	−0.927829	−	0.197216i	−0.280874	−	0.959745i	$-0.590624\pi$
$641$	−23.4908	−	4.99311i	−0.927829	−	0.197216i	−0.646955	+	0.762528i	$0.723958\pi$
$642$	1.93815	+	6.64145i	0.0764926	+	0.262117i
$643$	14.1195	+	10.2584i	0.556818	+	0.404552i	0.830293	−	0.557327i	$-0.188173\pi$
$643$	14.1195	+	10.2584i	0.556818	+	0.404552i	−0.273475	+	0.961879i	$0.588173\pi$
$644$	20.6725	+	9.20398i	0.814609	+	0.362687i
$645$	−30.9995	−	10.8490i	−1.22060	−	0.427180i
$646$	6.31577	+	3.64641i	0.248491	+	0.143466i
$647$	11.7354	+	16.1523i	0.461365	+	0.635014i	0.974791	−	0.223120i	$-0.0716241\pi$
$647$	11.7354	+	16.1523i	0.461365	+	0.635014i	−0.513426	+	0.858134i	$0.671624\pi$
$648$	8.51347	+	2.91906i	0.334441	+	0.114671i
$649$	−40.4172	+	13.1323i	−1.58651	+	0.515489i
$650$	0.444836	+	3.68385i	0.0174479	+	0.144493i
$651$	−12.4363	+	30.0491i	−0.487419	+	1.17772i
$652$			18.8066i			0.736524i
$653$	−3.40971	−	10.4940i	−0.133432	−	0.410662i	0.861911	−	0.507060i	$-0.169268\pi$
$653$	−3.40971	−	10.4940i	−0.133432	−	0.410662i	−0.995343	+	0.0963982i	$0.969268\pi$
$654$	1.27692	+	17.1079i	0.0499316	+	0.668971i
$655$	0.908803	−	9.34028i	0.0355099	−	0.364955i
$656$	−5.17585	−	2.98828i	−0.202083	−	0.116673i
$657$	−9.27655	−	35.7739i	−0.361913	−	1.39567i
$658$	−2.30883	+	5.18572i	−0.0900075	+	0.202160i
$659$	14.3782	−	19.7898i	0.560094	−	0.770903i	−0.431245	−	0.902235i	$-0.641925\pi$
$659$	14.3782	−	19.7898i	0.560094	−	0.770903i	0.991338	+	0.131332i	$0.0419254\pi$
$660$	5.11751	−	10.8317i	0.199199	−	0.421623i
$661$	−14.2951	−	3.03852i	−0.556016	−	0.118185i	−0.0786708	−	0.996901i	$-0.525068\pi$
$661$	−14.2951	−	3.03852i	−0.556016	−	0.118185i	−0.477345	+	0.878716i	$0.658401\pi$
$662$	6.52455	−	0.685758i	0.253584	−	0.0266527i
$663$	−6.32963	+	5.36195i	−0.245822	+	0.208241i
$664$	−4.53518	+	4.08350i	−0.175999	+	0.158470i
$665$	5.75051	+	6.28821i	0.222995	+	0.243846i
$666$	10.5821	−	16.0104i	0.410049	−	0.620392i
$667$	−52.2526	−	16.9779i	−2.02323	−	0.657387i
$668$	−24.2257	−	2.54623i	−0.937322	−	0.0985165i
$669$	−3.08867	+	2.10447i	−0.119415	+	0.0813634i
$670$	−0.830080	−	7.35093i	−0.0320688	−	0.283991i
$671$	7.73594	−	0.813080i	0.298643	−	0.0313886i
$672$	5.49799	+	1.97196i	0.212089	+	0.0760702i
$673$	30.2353	−	13.4616i	1.16548	−	0.518907i	0.269503	−	0.963000i	$-0.413141\pi$
$673$	30.2353	−	13.4616i	1.16548	−	0.518907i	0.895981	+	0.444093i	$0.146474\pi$
$674$	20.1510	+	14.6405i	0.776186	+	0.563932i
$675$	−19.8121	−	16.8072i	−0.762568	−	0.646908i
$676$	6.22463	+	10.7814i	0.239409	+	0.414668i
$677$	12.4681	+	7.19848i	0.479190	+	0.276660i	0.720079	−	0.693892i	$-0.244106\pi$
$677$	12.4681	+	7.19848i	0.479190	+	0.276660i	−0.240889	+	0.970553i	$0.577439\pi$
$678$	5.83412	+	10.8494i	0.224058	+	0.416668i
$679$	−13.5509	+	2.88033i	−0.520036	+	0.110537i
$680$	−13.2281	−	5.76750i	−0.507275	−	0.221173i
$681$	−2.87589	+	21.1831i	−0.110204	+	0.811739i
$682$	−6.24143	−	16.0512i	−0.238997	−	0.614632i
$683$	−29.0232			−1.11054			−0.555271	−	0.831669i	$-0.687386\pi$
$683$	−29.0232			−1.11054			−0.555271	+	0.831669i	$0.687386\pi$
$684$	−0.150074	−	3.38678i	−0.00573821	−	0.129497i
$685$	20.4066	−	35.9845i	0.779697	−	1.37490i
$686$	5.20880	+	7.16930i	0.198873	+	0.273725i
$687$	29.4699	−	38.0864i	1.12435	−	1.45309i
$688$	4.24003	+	7.34395i	0.161650	+	0.279985i
$689$	−1.31230	+	2.94748i	−0.0499948	+	0.112290i
$690$	2.13457	+	25.9010i	0.0812617	+	0.986034i
$691$	31.3857	−	13.9738i	1.19397	−	0.531589i	0.289108	−	0.957297i	$-0.406641\pi$
$691$	31.3857	−	13.9738i	1.19397	−	0.531589i	0.904861	+	0.425708i	$0.139975\pi$
$692$	−19.9242	−	4.23503i	−0.757406	−	0.160992i
$693$	30.8670	+	5.14476i	1.17254	+	0.195433i
$694$	−18.5227	−	16.6780i	−0.703114	−	0.633087i
$695$	2.76276	−	0.0213446i	0.104797	−	0.000809646i
$696$	−13.7762	−	3.36627i	−0.522184	−	0.127598i
$697$	−11.9189	+	36.6827i	−0.451462	+	1.38946i
$698$	6.38472	−	19.6501i	0.241665	−	0.743769i
$699$	38.1871	+	9.33118i	1.44437	+	0.352938i
$700$	−12.7032	−	11.0875i	−0.480137	−	0.419067i
$701$	−36.8516	−	33.1813i	−1.39186	−	1.25324i	−0.930630	−	0.365961i	$-0.880740\pi$
$701$	−36.8516	−	33.1813i	−1.39186	−	1.25324i	−0.461234	−	0.887279i	$-0.652593\pi$
$702$	3.68384	+	1.13993i	0.139038	+	0.0430239i
$703$	−7.07106	−	1.50300i	−0.266690	−	0.0566867i
$704$	−2.82574	+	1.25810i	−0.106499	+	0.0474164i
$705$	−6.49730	+	0.535460i	−0.244702	+	0.0201666i
$706$	−10.7189	+	24.0751i	−0.403412	+	0.906079i
$707$	−23.8511	−	41.3112i	−0.897011	−	1.55367i
$708$	14.5627	−	18.8206i	0.547299	−	0.707321i
$709$	8.90243	+	12.2531i	0.334338	+	0.460176i	0.942777	−	0.333424i	$-0.108204\pi$
$709$	8.90243	+	12.2531i	0.334338	+	0.460176i	−0.608439	+	0.793600i	$0.708204\pi$
$710$	0.888875	−	1.56742i	0.0333589	−	0.0588241i
$711$	−26.5488	+	1.17642i	−0.995658	+	0.0441193i
$712$	−12.8202			−0.480457
$713$	29.1368	+	23.3861i	1.09118	+	0.875817i
$714$	5.07111	−	37.3526i	0.189781	−	1.39789i
$715$	2.05145	−	4.70513i	0.0767199	−	0.175962i
$716$	14.4492	−	3.07127i	0.539992	−	0.114779i
$717$	−8.78321	−	16.3336i	−0.328015	−	0.609990i
$718$	−20.9829	−	12.1145i	−0.783074	−	0.452108i
$719$	18.6746	+	32.3453i	0.696445	+	1.20628i	0.969691	+	0.244334i	$0.0785692\pi$
$719$	18.6746	+	32.3453i	0.696445	+	1.20628i	−0.273246	+	0.961944i	$0.588097\pi$
$720$	1.04707	+	6.62598i	0.0390218	+	0.246936i
$721$	27.1892	+	19.7541i	1.01258	+	0.735681i
$722$	16.1908	−	7.20860i	0.602559	−	0.268276i
$723$	7.72319	+	2.77008i	0.287228	+	0.103020i
$724$	4.74844	−	0.499081i	0.176474	−	0.0185482i
$725$	33.4877	+	23.5484i	1.24370	+	0.874566i
$726$	2.05027	−	1.39696i	0.0760927	−	0.0518459i
$727$	−7.99585	−	0.840397i	−0.296550	−	0.0311686i	−0.0449146	−	0.998991i	$-0.514302\pi$
$727$	−7.99585	−	0.840397i	−0.296550	−	0.0311686i	−0.251635	+	0.967822i	$0.580968\pi$
$728$	2.38015	+	0.773357i	0.0882141	+	0.0286625i
$729$	−24.3471	+	11.6713i	−0.901745	+	0.432269i
$730$	20.3278	−	18.5896i	0.752366	−	0.688032i
$731$	40.6702	−	36.6196i	1.50424	−	1.35443i
$732$	−3.32349	+	2.81540i	−0.122840	+	0.104060i
$733$	−42.4975	+	4.46667i	−1.56968	+	0.164980i	−0.849040	−	0.528329i	$-0.822819\pi$
$733$	−42.4975	+	4.46667i	−1.56968	+	0.164980i	−0.720641	+	0.693309i	$0.756152\pi$
$734$	−21.8726	−	4.64916i	−0.807331	−	0.171603i
$735$	7.23359	−	15.3106i	0.266815	−	0.564739i
$736$	3.94420	−	5.42873i	0.145385	−	0.200106i
$737$	−4.16221	+	9.34848i	−0.153317	+	0.344356i
$738$	17.3556	−	4.50050i	0.638870	−	0.165666i
$739$	−4.53386	−	2.61763i	−0.166781	−	0.0962910i	0.414286	−	0.910147i	$-0.364031\pi$
$739$	−4.53386	−	2.61763i	−0.166781	−	0.0962910i	−0.581067	+	0.813856i	$0.697365\pi$
$740$	14.2373	+	1.38528i	0.523374	+	0.0509239i
$741$	−0.108116	−	1.44851i	−0.00397173	−	0.0532123i
$742$	−4.53053	−	13.9435i	−0.166321	−	0.511883i
$743$			34.9057i			1.28057i	0.768138	+	0.640284i	$0.221183\pi$
$743$			34.9057i			1.28057i	−0.768138	+	0.640284i	$0.778817\pi$
$744$	7.94920	+	5.45987i	0.291432	+	0.200169i
$745$	19.5364	−	22.0374i	0.715758	−	0.807387i
$746$	18.5922	−	6.04097i	0.680709	−	0.221176i
$747$	1.10581	−	18.2746i	0.0404596	−	0.668634i
$748$	11.7334	+	16.1497i	0.429017	+	0.590491i
$749$	−11.6655	−	6.73506i	−0.426247	−	0.246094i
$750$	4.15947	−	18.9129i	0.151882	−	0.690602i
$751$	−46.1017	−	20.5258i	−1.68228	−	0.748998i	−0.999837	−	0.0180550i	$-0.994253\pi$
$751$	−46.1017	−	20.5258i	−1.68228	−	0.748998i	−0.682439	−	0.730943i	$-0.739081\pi$
$752$	1.36180	+	0.989408i	0.0496599	+	0.0360800i
$753$	−10.0831	−	34.5517i	−0.367448	−	1.25913i
$754$	−5.94349	−	1.26333i	−0.216449	−	0.0460077i
$755$	−7.87752	−	5.63088i	−0.286692	−	0.204929i
$756$	−15.9061	+	7.35159i	−0.578498	+	0.267375i
$757$	21.6146	+	24.0054i	0.785595	+	0.872492i	0.994424	−	0.105460i	$-0.0336316\pi$
$757$	21.6146	+	24.0054i	0.785595	+	0.872492i	−0.208828	+	0.977952i	$0.566965\pi$
$758$	1.78181	−	16.9528i	0.0647182	−	0.615753i
$759$	15.6079	−	32.3855i	0.566533	−	1.17552i
$760$	2.17847	−	1.28028i	0.0790216	−	0.0464408i
$761$	0.518048	−	4.92889i	0.0187792	−	0.178672i	−0.981112	−	0.193442i	$-0.938035\pi$
$761$	0.518048	−	4.92889i	0.0187792	−	0.178672i	0.999891	+	0.0147697i	$0.00470153\pi$
$762$	20.0340	−	13.6502i	0.725756	−	0.494495i
$763$	−24.8220	−	22.3498i	−0.898618	−	0.809119i
$764$	−3.68303	+	0.387102i	−0.133247	+	0.0140049i
$765$	40.4223	−	15.5004i	1.46147	−	0.560417i
$766$	7.81628	+	17.5556i	0.282414	+	0.634311i
$767$	5.99311	−	8.24880i	0.216399	−	0.297847i
$768$	0.910951	−	1.47315i	0.0328711	−	0.0531577i
$769$	−7.67128	−	13.2870i	−0.276633	−	0.479143i	0.693912	−	0.720059i	$-0.255885\pi$
$769$	−7.67128	−	13.2870i	−0.276633	−	0.479143i	−0.970546	+	0.240916i	$0.922552\pi$
$770$	7.37877	+	22.1264i	0.265912	+	0.797380i
$771$	−15.5100	−	28.8431i	−0.558580	−	1.03876i
$772$	1.84887	+	8.69825i	0.0665423	+	0.313057i
$773$	−27.8505	+	9.04917i	−1.00171	+	0.325476i	−0.763550	−	0.645749i	$-0.776545\pi$
$773$	−27.8505	+	9.04917i	−1.00171	+	0.325476i	−0.238163	+	0.971225i	$0.576545\pi$
$774$	−24.5193	−	6.78267i	−0.881329	−	0.243798i
$775$	−15.6211	−	23.0431i	−0.561125	−	0.827731i
$776$			4.10811i			0.147473i
$777$	6.66089	+	36.7670i	0.238958	+	1.31901i
$778$	13.4407	−	2.85691i	0.481872	−	0.102425i
$779$	−3.96973	−	5.46386i	−0.142230	−	0.195763i
$780$	0.534203	+	2.82415i	0.0191275	+	0.101121i
$781$	−2.15865	+	1.24630i	−0.0772425	+	0.0445960i
$782$	−39.5617	−	17.6140i	−1.41472	−	0.629875i
$783$	36.5418	−	21.7883i	1.30590	−	0.778650i
$784$	−3.99418	+	1.77832i	−0.142649	+	0.0635115i
$785$	−24.1518	+	17.8340i	−0.862013	+	0.636522i
$786$	0.219628	−	7.26579i	0.00783389	−	0.259162i
$787$	1.52866	−	1.69775i	0.0544907	−	0.0605181i	−0.715283	−	0.698835i	$-0.753702\pi$
$787$	1.52866	−	1.69775i	0.0544907	−	0.0605181i	0.769774	+	0.638317i	$0.220369\pi$
$788$	−12.7260	+	11.4585i	−0.453344	+	0.408192i
$789$	5.20286	−	21.2923i	0.185227	−	0.758025i
$790$	−10.0361	−	17.0770i	−0.357068	−	0.607572i
$791$	−22.8100	−	7.41143i	−0.811031	−	0.263520i
$792$	3.39533	−	8.63599i	0.120648	−	0.306867i
$793$	−1.38690	+	1.24877i	−0.0492503	+	0.0443452i
$794$	−13.7551	−	12.3851i	−0.488150	−	0.439532i
$795$	11.5454	−	12.2565i	0.409473	−	0.434694i
$796$	1.30631	−	6.14573i	0.0463011	−	0.217830i
$797$	−12.9079	−	28.9917i	−0.457222	−	1.02694i	−0.984200	−	0.177059i	$-0.943342\pi$
$797$	−12.9079	−	28.9917i	−0.457222	−	1.02694i	0.526978	−	0.849879i	$-0.323325\pi$
$798$	4.76941	+	4.56275i	0.168835	+	0.161520i
$799$	4.41850	−	9.92410i	0.156315	−	0.351090i
$800$	−3.99919	+	3.00108i	−0.141393	+	0.106104i
$801$	27.4145	−	26.9752i	0.968645	−	0.953122i
$802$	27.8910	−	20.2640i	0.984865	−	0.715546i
$803$	−37.2720	+	7.92241i	−1.31530	+	0.279576i
$804$	−1.02148	−	5.63841i	−0.0360249	−	0.198851i
$805$	−37.8633	−	33.5662i	−1.33451	−	1.18305i
$806$	3.47508	+	2.23539i	0.122404	+	0.0787382i
$807$	−1.95672	+	14.4127i	−0.0688799	+	0.507353i
$808$	−13.4531	+	4.37118i	−0.473278	+	0.153777i
$809$	−31.7247	+	6.74329i	−1.11538	+	0.237081i	−0.728498	−	0.685048i	$-0.759781\pi$
$809$	−31.7247	+	6.74329i	−1.11538	+	0.237081i	−0.386882	+	0.922129i	$0.626448\pi$
$810$	−16.1809	−	11.9658i	−0.568538	−	0.420434i
$811$	−7.67029	+	13.2853i	−0.269340	+	0.466511i	−0.968692	−	0.248267i	$-0.920139\pi$
$811$	−7.67029	+	13.2853i	−0.269340	+	0.466511i	0.699351	+	0.714778i	$0.253472\pi$
$812$	23.9119	−	13.8055i	0.839142	−	0.484479i
$813$	30.4336	+	18.8192i	1.06735	+	0.660020i
$814$	−16.0084	−	11.6308i	−0.561095	−	0.407659i
$815$	12.6857	−	40.0939i	0.444360	−	1.40443i
$816$	−10.5217	−	3.77382i	−0.368334	−	0.132110i
$817$	1.00167	+	9.53026i	0.0350440	+	0.333421i
$818$	−7.50062	−	6.75358i	−0.262253	−	0.236134i
$819$	−6.71690	+	3.35437i	−0.234708	+	0.117211i
$820$	9.01871	+	9.86199i	0.314947	+	0.344396i
$821$	−12.7571	+	39.2624i	−0.445226	+	1.37027i	0.437009	+	0.899457i	$0.356038\pi$
$821$	−12.7571	+	39.2624i	−0.445226	+	1.37027i	−0.882235	+	0.470809i	$0.843962\pi$
$822$	13.9118	−	28.8661i	0.485229	−	1.00682i
$823$	−3.06247	+	29.1374i	−0.106751	+	1.01567i	0.801715	+	0.597707i	$0.203921\pi$
$823$	−3.06247	+	29.1374i	−0.106751	+	1.01567i	−0.908466	+	0.417960i	$0.862745\pi$
$824$	7.40611	−	6.66849i	0.258004	−	0.232308i
$825$	−18.2164	+	19.6402i	−0.634212	+	0.683783i
$826$	4.84299	+	46.0780i	0.168509	+	1.60326i
$827$	7.75162	−	36.4685i	0.269550	−	1.26813i	−0.610028	−	0.792380i	$-0.708842\pi$
$827$	7.75162	−	36.4685i	0.269550	−	1.26813i	0.879578	−	0.475754i	$-0.157825\pi$
$828$	2.98846	+	19.9078i	0.103856	+	0.691843i
$829$	21.3072	−	29.3268i	0.740028	−	1.01856i	−0.258589	−	0.965987i	$-0.583258\pi$
$829$	21.3072	−	29.3268i	0.740028	−	1.01856i	0.998617	−	0.0525738i	$-0.0167425\pi$
$830$	12.4230	−	5.64648i	0.431209	−	0.195992i
$831$	−23.0456	+	9.43692i	−0.799441	+	0.327363i
$832$	0.371061	−	0.642697i	0.0128642	−	0.0222815i
$833$	16.5852	+	22.8275i	0.574642	+	0.790927i
$834$	2.13415	−	0.159292i	0.0738995	−	0.00551582i
$835$	49.9294	+	21.7694i	1.72788	+	0.753360i
$836$	−3.49537			−0.120890
$837$	−28.4867	+	5.05073i	−0.984643	+	0.174579i
$838$			4.98091i			0.172063i
$839$	5.46322	−	1.77511i	0.188611	−	0.0612835i	−0.213188	−	0.977011i	$-0.568385\pi$
$839$	5.46322	−	1.77511i	0.188611	−	0.0612835i	0.401800	+	0.915728i	$0.368385\pi$
$840$	−10.3910	−	7.91261i	−0.358524	−	0.273011i
$841$	−30.7735	+	22.3583i	−1.06116	+	0.770975i
$842$	7.05940	−	12.2272i	0.243283	−	0.421378i
$843$	14.6187	+	35.6999i	0.503496	+	1.22957i
$844$	−2.59675	−	1.15615i	−0.0893837	−	0.0397962i
$845$	−5.99790	−	27.1835i	−0.206334	−	0.935142i
$846$	−4.99389	+	0.749658i	−0.171694	+	0.0257738i
$847$	−1.00429	+	4.72480i	−0.0345077	+	0.162346i
$848$	−4.32374	+	0.454443i	−0.148478	+	0.0156056i
$849$	−7.46913	+	6.32725i	−0.256340	+	0.217151i
$850$	24.3107	+	21.2185i	0.833849	+	0.727790i
$851$	42.6917	+	4.48708i	1.46345	+	0.153815i
$852$	0.605972	−	1.25735i	0.0207603	−	0.0430762i
$853$	−9.06355	−	2.94493i	−0.310330	−	0.100832i	0.149712	−	0.988730i	$-0.452166\pi$
$853$	−9.06355	−	2.94493i	−0.310330	−	0.100832i	−0.460042	+	0.887897i	$0.652166\pi$
$854$	0.886447	−	8.43398i	0.0303336	−	0.288605i
$855$	−1.96455	+	7.32151i	−0.0671862	+	0.250390i
$856$	−2.67277	+	2.96841i	−0.0913532	+	0.101458i
$857$	−2.89495	−	27.5436i	−0.0988896	−	0.940872i	−0.925666	−	0.378341i	$-0.876495\pi$
$857$	−2.89495	−	27.5436i	−0.0988896	−	0.940872i	0.826777	−	0.562530i	$-0.190172\pi$
$858$	1.34232	−	3.74248i	0.0458260	−	0.127766i
$859$	20.3660	+	45.7428i	0.694879	+	1.56072i	0.822414	+	0.568890i	$0.192627\pi$
$859$	20.3660	+	45.7428i	0.694879	+	1.56072i	−0.127534	+	0.991834i	$0.540706\pi$
$860$	−4.08559	−	18.5166i	−0.139318	−	0.631411i
$861$	−18.3598	+	29.6906i	−0.625700	+	1.01185i
$862$	−12.0886	+	6.97934i	−0.411738	+	0.237717i
$863$	35.5036	+	20.4980i	1.20856	+	0.697761i	0.962444	−	0.271481i	$-0.0875133\pi$
$863$	35.5036	+	20.4980i	1.20856	+	0.697761i	0.246113	+	0.969241i	$0.420847\pi$
$864$	1.15171	+	5.06691i	0.0391821	+	0.172380i
$865$	39.6198	+	22.4682i	1.34711	+	0.763942i
$866$	−3.60178	−	11.0852i	−0.122394	−	0.376689i
$867$	−5.74358	+	42.3059i	−0.195062	+	1.43678i
$868$	−18.5319	+	3.01756i	−0.629014	+	0.102423i
$869$			27.4001i			0.929484i
$870$	27.0988	+	16.4690i	0.918735	+	0.558352i
$871$	−0.510462	−	2.40153i	−0.0172963	−	0.0813729i
$872$	−8.01308	+	5.82185i	−0.271357	+	0.197153i
$873$	−8.64395	−	8.78473i	−0.292553	−	0.297318i
$874$	6.56693	−	3.79142i	0.222130	−	0.128247i
$875$	19.6032	+	32.2062i	0.662708	+	1.08877i
$876$	14.7499	−	15.4180i	0.498354	−	0.520926i
$877$	13.8540	+	31.1167i	0.467817	+	1.05073i	0.981274	+	0.192619i	$0.0616981\pi$
$877$	13.8540	+	31.1167i	0.467817	+	1.05073i	−0.513456	+	0.858116i	$0.671635\pi$
$878$	17.0549	+	3.62513i	0.575574	+	0.122342i
$879$	−11.8316	−	0.357644i	−0.399071	−	0.0120630i
$880$	6.87283	−	0.776092i	0.231683	−	0.0261621i
$881$	14.8039	+	16.4414i	0.498756	+	0.553925i	0.938984	−	0.343961i	$-0.111769\pi$
$881$	14.8039	+	16.4414i	0.498756	+	0.553925i	−0.440227	+	0.897886i	$0.645102\pi$
$882$	4.79929	−	12.2070i	0.161600	−	0.411029i
$883$	−3.81210	+	11.7324i	−0.128288	+	0.394828i	−0.994486	−	0.104872i	$-0.966557\pi$
$883$	−3.81210	+	11.7324i	−0.128288	+	0.394828i	0.866198	+	0.499701i	$0.166557\pi$
$884$	−4.55498	−	1.48000i	−0.153201	−	0.0497779i
$885$	−43.7413	+	30.3006i	−1.47035	+	1.01854i
$886$	19.3713	+	21.5140i	0.650793	+	0.722779i
$887$	−21.3405	+	23.7011i	−0.716545	+	0.795804i	−0.985917	−	0.167232i	$-0.946517\pi$
$887$	−21.3405	+	23.7011i	−0.716545	+	0.795804i	0.269373	+	0.963036i	$0.413184\pi$
$888$	11.0752	+	0.334778i	0.371659	+	0.0112344i
$889$	−9.81328	+	46.1678i	−0.329127	+	1.54842i
$890$	27.3314	+	8.64765i	0.916151	+	0.289870i
$891$	10.9106	+	25.6112i	0.365519	+	0.858009i
$892$	−1.97127	−	0.877668i	−0.0660031	−	0.0293865i
$893$	0.951083	+	1.64732i	0.0318268	+	0.0551256i
$894$	13.9601	−	18.0418i	0.466895	−	0.603408i
$895$	−32.8759	−	3.19881i	−1.09892	−	0.106924i
$896$	0.701133	+	3.29857i	0.0234232	+	0.110198i
$897$	1.53758	+	8.48720i	0.0513384	+	0.283379i
$898$	18.2653			0.609521
$899$	43.9822	−	11.9895i	1.46689	−	0.399874i
$900$	2.23720	−	14.8322i	0.0745734	−	0.494408i
$901$	8.67025	+	26.6843i	0.288848	+	0.888982i
$902$	−3.84354	−	18.0824i	−0.127976	−	0.602080i
$903$	43.6242	−	23.4584i	1.45172	−	0.780646i
$904$	−3.55605	+	6.15926i	−0.118272	+	0.204854i
$905$	−10.4599	−	2.13899i	−0.347697	−	0.0711023i
$906$	−6.37934	−	3.94479i	−0.211939	−	0.131057i
$907$	17.4894	−	24.0721i	0.580727	−	0.799303i	−0.413048	−	0.910709i	$-0.635536\pi$
$907$	17.4894	−	24.0721i	0.580727	−	0.799303i	0.993775	+	0.111407i	$0.0355357\pi$
$908$	−11.2752	+	5.02005i	−0.374182	+	0.166596i
$909$	19.5704	−	37.6542i	0.649111	−	1.24891i
$910$	−4.55259	−	3.25421i	−0.150917	−	0.107876i
$911$	−1.73056	+	1.92198i	−0.0573359	+	0.0636780i	−0.771130	−	0.636677i	$-0.780308\pi$
$911$	−1.73056	+	1.92198i	−0.0573359	+	0.0636780i	0.713794	+	0.700355i	$0.246975\pi$
$912$	1.61751	−	1.10209i	0.0535610	−	0.0364938i
$913$	−18.7732	−	1.97314i	−0.621301	−	0.0653014i
$914$	−5.75861	+	17.7232i	−0.190478	+	0.586231i
$915$	8.98443	−	3.76034i	0.297016	−	0.124313i
$916$	27.6509	+	2.90622i	0.913610	+	0.0960243i
$917$	9.47007	+	10.5176i	0.312729	+	0.347321i
$918$	30.4400	−	14.0690i	1.00467	−	0.464347i
$919$	0.251072	+	2.38879i	0.00828209	+	0.0787988i	0.997882	−	0.0650470i	$-0.0207197\pi$
$919$	0.251072	+	2.38879i	0.00828209	+	0.0787988i	−0.989600	+	0.143846i	$0.954053\pi$
$920$	−12.0705	+	8.91302i	−0.397953	+	0.293854i
$921$	27.4936	−	8.02335i	0.905946	−	0.264378i
$922$	−14.6964	−	10.6775i	−0.483999	−	0.351646i
$923$	0.243242	−	0.546330i	0.00800640	−	0.0179827i
$924$	6.84645	+	16.7195i	0.225232	+	0.550030i
$925$	−29.4181	−	12.5568i	−0.967261	−	0.412865i
$926$	26.3863	−	19.1708i	0.867107	−	0.629990i
$927$	−1.80583	+	29.8431i	−0.0593112	+	0.980177i
$928$	−2.53013	−	7.78695i	−0.0830557	−	0.255619i
$929$	−37.3205			−1.22445			−0.612223	−	0.790685i	$-0.709725\pi$
$929$	−37.3205			−1.22445			−0.612223	+	0.790685i	$0.709725\pi$
$930$	−13.2640	−	17.0019i	−0.434945	−	0.557515i
$931$	−4.94070			−0.161925
$932$	7.01345	+	21.5852i	0.229733	+	0.707046i
$933$	−39.5876	+	2.95479i	−1.29604	+	0.0967356i
$934$	−6.09746	+	4.43006i	−0.199515	+	0.144956i
$935$	−14.1210	−	42.3441i	−0.461807	−	1.38480i
$936$	0.558838	+	2.15509i	0.0182662	+	0.0704414i
$937$	0.638292	−	1.43363i	0.0208521	−	0.0468346i	−0.902819	−	0.430020i	$-0.858506\pi$
$937$	0.638292	−	1.43363i	0.0208521	−	0.0468346i	0.923671	+	0.383186i	$0.125173\pi$
$938$	9.02585	+	6.55766i	0.294704	+	0.214115i
$939$	−3.94114	−	13.5051i	−0.128614	−	0.440723i
$940$	−2.23584	−	3.02790i	−0.0729252	−	0.0987593i
$941$	−2.97803	−	28.3340i	−0.0970809	−	0.923663i	−0.929327	−	0.369257i	$-0.879612\pi$
$941$	−2.97803	−	28.3340i	−0.0970809	−	0.923663i	0.832247	−	0.554406i	$-0.187054\pi$
$942$	−17.7444	+	15.0317i	−0.578144	+	0.489758i
$943$	26.8350	+	29.8033i	0.873869	+	0.970530i
$944$	13.6638	+	1.43612i	0.444719	+	0.0467419i
$945$	38.8690	−	4.94371i	1.26441	−	0.160819i
$946$	−8.10557	+	24.9464i	−0.263535	+	0.811076i
$947$	15.4998	+	1.62910i	0.503677	+	0.0529386i	0.352960	−	0.935638i	$-0.385175\pi$
$947$	15.4998	+	1.62910i	0.503677	+	0.0529386i	0.150717	+	0.988577i	$0.451842\pi$
$948$	−8.63924	−	12.6796i	−0.280589	−	0.411813i
$949$	6.11735	−	6.79400i	0.198578	−	0.220543i
$950$	−5.50789	+	1.25999i	−0.178699	+	0.0408794i
$951$	−13.2160	+	36.8473i	−0.428559	+	1.19486i
$952$	19.8818	−	8.85196i	0.644373	−	0.286894i
$953$	25.5179	−	35.1224i	0.826606	−	1.13773i	−0.161939	−	0.986801i	$-0.551775\pi$
$953$	25.5179	−	35.1224i	0.826606	−	1.13773i	0.988545	−	0.150925i	$-0.0482251\pi$
$954$	8.28961	−	10.0694i	0.268386	−	0.326010i
$955$	8.11298	+	1.65906i	0.262530	+	0.0536860i
$956$	5.35360	−	9.27270i	0.173148	−	0.299901i
$957$	−20.7750	−	38.6340i	−0.671560	−	1.24886i
$958$	1.95338	+	9.18992i	0.0631108	+	0.296913i
$959$	19.2790	+	59.3346i	0.622550	+	1.91601i
$960$	−2.93575	+	2.52614i	−0.0947508	+	0.0815309i
$961$	−30.8571	−	2.97302i	−0.995391	−	0.0959039i
$962$	4.74750			0.153065
$963$	−0.530473	−	11.9714i	−0.0170943	−	0.385773i
$964$	0.984903	+	4.63360i	0.0317216	+	0.149238i
$965$	1.92565	−	19.7909i	0.0619887	−	0.637093i
$966$	−30.9983	−	23.9854i	−0.997354	−	0.771716i
$967$	−8.15865	−	14.1312i	−0.262365	−	0.454429i	0.704505	−	0.709699i	$-0.251169\pi$
$967$	−8.15865	−	14.1312i	−0.262365	−	0.454429i	−0.966870	+	0.255270i	$0.917836\pi$
$968$	1.30854	+	0.582600i	0.0420581	+	0.0187255i
$969$	−9.12740	−	8.73191i	−0.293214	−	0.280509i
$970$	2.77106	−	8.75809i	0.0889733	−	0.281205i
$971$	−2.68022	+	12.6095i	−0.0860124	+	0.404657i	−0.999999	−	0.00108683i	$-0.999654\pi$
$971$	−2.68022	+	12.6095i	−0.0860124	+	0.404657i	0.913987	+	0.405744i	$0.132987\pi$
$972$	−13.1242	−	8.41166i	−0.420958	−	0.269804i
$973$	−2.78807	+	3.09646i	−0.0893813	+	0.0992680i
$974$	−5.66194	−	6.28823i	−0.181420	−	0.201488i
$975$	0.766113	−	6.38115i	0.0245353	−	0.204360i
$976$	−2.39168	−	0.777103i	−0.0765558	−	0.0248745i
$977$	16.4034	−	50.4845i	0.524791	−	1.61514i	−0.239937	−	0.970788i	$-0.577127\pi$
$977$	16.4034	−	50.4845i	0.524791	−	1.61514i	0.764728	−	0.644353i	$-0.222873\pi$
$978$	7.73211	−	31.6430i	0.247246	−	1.01183i
$979$	−26.5343	−	29.4693i	−0.848040	−	0.941844i
$980$	9.71473	−	1.09700i	0.310326	−	0.0350425i
$981$	4.88521	−	29.3098i	0.155973	−	0.935790i
$982$	15.4288	+	3.27949i	0.492352	+	0.104653i
$983$	19.1891	+	43.0994i	0.612037	+	1.37466i	0.907802	+	0.419398i	$0.137759\pi$
$983$	19.1891	+	43.0994i	0.612037	+	1.37466i	−0.295765	+	0.955261i	$0.595575\pi$
$984$	7.48002	+	7.15590i	0.238454	+	0.228122i
$985$	34.8596	−	15.8443i	1.11072	−	0.504842i
$986$	−45.7611	+	26.4202i	−1.45733	+	0.841389i
$987$	6.01676	−	7.77597i	0.191516	−	0.247512i
$988$	0.678461	−	0.492931i	0.0215847	−	0.0156822i
$989$	−11.8309	−	55.6601i	−0.376201	−	1.76989i
$990$	−13.0638	+	16.1208i	−0.415194	+	0.512353i
$991$			40.2758i			1.27940i	0.768624	+	0.639701i	$0.220942\pi$
$991$			40.2758i			1.27940i	−0.768624	+	0.639701i	$0.779058\pi$
$992$	−0.267293	+	5.56134i	−0.00848657	+	0.176573i
$993$	−11.2598	−	1.52867i	−0.357319	−	0.0485108i
$994$	0.839756	+	2.58450i	0.0266355	+	0.0819755i
$995$	−6.93043	+	12.2209i	−0.219709	+	0.387430i
$996$	9.30954	−	5.00609i	0.294984	−	0.158624i
$997$	9.42145	+	5.43947i	0.298380	+	0.172270i	0.641715	−	0.766943i	$-0.278223\pi$
$997$	9.42145	+	5.43947i	0.298380	+	0.172270i	−0.343335	+	0.939213i	$0.611557\pi$
$998$	−0.317110	+	0.183084i	−0.0100379	+	0.00579541i
$999$	−24.3874	+	22.5876i	−0.771584	+	0.714640i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.18	yes	256
3.2	odd	2		930.2.bo.a.179.14	✓	256
5.4	even	2		930.2.bo.a.179.15	yes	256
15.14	odd	2	inner	930.2.bo.b.179.19	yes	256
31.22	odd	30	inner	930.2.bo.b.239.19	yes	256
93.53	even	30		930.2.bo.a.239.15	yes	256
155.84	odd	30		930.2.bo.a.239.14	yes	256
465.239	even	30	inner	930.2.bo.b.239.18	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.14	✓	256	3.2	odd	2
930.2.bo.a.179.15	yes	256	5.4	even	2
930.2.bo.a.239.14	yes	256	155.84	odd	30
930.2.bo.a.239.15	yes	256	93.53	even	30
930.2.bo.b.179.18	yes	256	1.1	even	1	trivial
930.2.bo.b.179.19	yes	256	15.14	odd	2	inner
930.2.bo.b.239.18	yes	256	465.239	even	30	inner
930.2.bo.b.239.19	yes	256	31.22	odd	30	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(0.128921 + 1.72725i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.12123 - 0.707392i) q^{5} +(1.60287 - 0.656359i) q^{6} +(-1.37162 + 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.96676 + 0.445355i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(0.128921 + 1.72725i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.12123 - 0.707392i) q^{5} +(1.60287 - 0.656359i) q^{6} +(-1.37162 + 3.08072i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.96676 + 0.445355i) q^{9} +(-1.32826 - 1.79881i) q^{10} +(0.323323 + 3.07621i) q^{11} +(-1.11955 - 1.32159i) q^{12} +(-0.496577 - 0.551505i) q^{13} +(3.35379 + 0.352498i) q^{14} +(1.49531 + 3.57268i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-6.41828 - 0.674588i) q^{17} +(1.34034 + 2.68393i) q^{18} +(0.756140 - 0.839778i) q^{19} +(-1.30031 + 1.81912i) q^{20} +(-5.49799 - 1.97196i) q^{21} +(2.82574 - 1.25810i) q^{22} +(-3.94420 + 5.42873i) q^{23} +(-0.910951 + 1.47315i) q^{24} +(3.99919 - 3.00108i) q^{25} +(-0.371061 + 0.642697i) q^{26} +(-1.15171 - 5.06691i) q^{27} +(-0.701133 - 3.29857i) q^{28} +(2.53013 + 7.78695i) q^{29} +(2.93575 - 2.52614i) q^{30} +(0.267293 - 5.56134i) q^{31} -1.00000 q^{32} +(-5.27169 + 0.955046i) q^{33} +(1.34179 + 6.31261i) q^{34} +(-0.730249 + 7.50517i) q^{35} +(2.13839 - 2.10412i) q^{36} +(-3.19859 - 5.54012i) q^{37} +(-1.03234 - 0.459626i) q^{38} +(0.888565 - 0.928811i) q^{39} +(2.13190 + 0.674533i) q^{40} +(1.24260 - 5.84595i) q^{41} +(-0.176478 + 5.83827i) q^{42} +(-5.67427 + 6.30191i) q^{43} +(-2.06973 - 2.29866i) q^{44} +(-5.97812 + 3.04336i) q^{45} +(6.38185 + 2.07359i) q^{46} +(-0.520163 + 1.60090i) q^{47} +(1.68255 + 0.411138i) q^{48} +(-2.92555 - 3.24916i) q^{49} +(-4.09001 - 2.87608i) q^{50} +(0.337732 - 11.1729i) q^{51} +(0.725906 + 0.154296i) q^{52} +(-1.76831 - 3.97169i) q^{53} +(-4.46302 + 2.66111i) q^{54} +(2.86193 + 6.29662i) q^{55} +(-2.92047 + 1.68613i) q^{56} +(1.54799 + 1.19778i) q^{57} +(6.62398 - 4.81260i) q^{58} +(2.85651 + 13.4388i) q^{59} +(-3.30970 - 2.01144i) q^{60} -2.51476i q^{61} +(-5.37175 + 1.46434i) q^{62} +(2.69726 - 9.75061i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-1.44348 - 0.818591i) q^{65} +(2.53735 + 4.71855i) q^{66} +(2.86510 + 1.65416i) q^{67} +(5.58901 - 3.22682i) q^{68} +(-9.88524 - 6.11273i) q^{69} +(7.36350 - 1.62472i) q^{70} +(0.327765 + 0.736172i) q^{71} +(-2.66193 - 1.38352i) q^{72} +(1.28769 + 12.2515i) q^{73} +(-4.28055 + 4.75403i) q^{74} +(5.69917 + 6.52069i) q^{75} +(-0.118121 + 1.12384i) q^{76} +(-9.92042 - 3.22334i) q^{77} +(-1.15793 - 0.558058i) q^{78} +(8.80976 + 0.925943i) q^{79} +(-0.0172750 - 2.23600i) q^{80} +(8.60332 - 2.64252i) q^{81} +(-5.94381 + 0.624720i) q^{82} +(-1.26882 + 5.96933i) q^{83} +(5.60706 - 1.63628i) q^{84} +(-14.0918 + 3.10928i) q^{85} +(7.74692 + 3.44915i) q^{86} +(-13.1238 + 5.37406i) q^{87} +(-1.54658 + 2.67875i) q^{88} +(-10.3718 + 7.53552i) q^{89} +(4.74175 + 4.74508i) q^{90} +(2.38015 - 0.773357i) q^{91} -6.71028i q^{92} +(9.64027 - 0.255291i) q^{93} +1.68328 q^{94} +(1.00989 - 2.31625i) q^{95} +(-0.128921 - 1.72725i) q^{96} +(2.41469 + 3.32353i) q^{97} +(-2.18609 + 3.78641i) q^{98} +(-2.32923 - 8.98239i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

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