LMFDB - Embedded newform 64.10.i.a.5.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [64,10,Mod(5,64)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("64.5"); S:= CuspForms(chi, 10); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(64, base_ring=CyclotomicField(16)) chi = DirichletCharacter(H, H._module([0, 1])) N = Newforms(chi, 10, names="a")

Level:	$ N $	$=$	$ 64 = 2^{6} $
Weight:	$ k $	$=$	$ 10 $
Character orbit:	$[\chi]$	$=$	64.i (of order $16$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$32.9622935145$
Analytic rank:	$0$
Dimension:	$568$
Relative dimension:	$71$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			5.4
Character	$\chi$	$=$	64.5
Dual form			64.10.i.a.13.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-22.3444 + 3.56788i) q^{2} +(150.893 + 100.823i) q^{3} +(486.540 - 159.444i) q^{4} +(-1900.87 - 378.107i) q^{5} +(-3731.33 - 1714.46i) q^{6} +(-4470.29 + 10792.2i) q^{7} +(-10302.6 + 5298.59i) q^{8} +(5070.92 + 12242.3i) q^{9} +(43822.8 + 1666.47i) q^{10} +(-565.627 - 846.521i) q^{11} +(89491.1 + 24995.7i) q^{12} +(-138915. + 27631.9i) q^{13} +(61380.3 - 257095. i) q^{14} +(-248706. - 248706. i) q^{15} +(211299. - 155152. i) q^{16} +(446764. - 446764. i) q^{17} +(-156985. - 255453. i) q^{18} +(117081. + 588605. i) q^{19} +(-985137. + 119118. i) q^{20} +(-1.76264e6 + 1.17776e6i) q^{21} +(15658.9 + 16896.9i) q^{22} +(82488.3 - 34167.8i) q^{23} +(-2.08880e6 - 239219. i) q^{24} +(1.66589e6 + 690036. i) q^{25} +(3.00537e6 - 1.11305e6i) q^{26} +(227723. - 1.14484e6i) q^{27} +(-454219. + 5.96362e6i) q^{28} +(-1.97709e6 + 2.95893e6i) q^{29} +(6.44452e6 + 4.66981e6i) q^{30} -4.03805e6i q^{31} +(-4.16778e6 + 4.22066e6i) q^{32} -184762. i q^{33} +(-8.38865e6 + 1.15766e7i) q^{34} +(1.25781e7 - 1.88244e7i) q^{35} +(4.41916e6 + 5.14783e6i) q^{36} +(1.72160e6 - 8.65506e6i) q^{37} +(-4.71617e6 - 1.27343e7i) q^{38} +(-2.37472e7 - 9.83639e6i) q^{39} +(2.15873e7 - 6.17647e6i) q^{40} +(-1.67716e7 + 6.94701e6i) q^{41} +(3.51830e7 - 3.26052e7i) q^{42} +(342112. - 228592. i) q^{43} +(-410173. - 321681. i) q^{44} +(-5.01027e6 - 2.51883e7i) q^{45} +(-1.72124e6 + 1.05777e6i) q^{46} +(3.76764e7 - 3.76764e7i) q^{47} +(4.75264e7 - 2.10741e6i) q^{48} +(-6.79544e7 - 6.79544e7i) q^{49} +(-3.96853e7 - 9.47469e6i) q^{50} +(1.12458e8 - 2.23692e7i) q^{51} +(-6.31819e7 + 3.55931e7i) q^{52} +(-6.60264e6 - 9.88155e6i) q^{53} +(-1.00367e6 + 2.63933e7i) q^{54} +(755109. + 1.82300e6i) q^{55} +(-1.11282e7 - 1.34874e8i) q^{56} +(-4.16785e7 + 1.00621e8i) q^{57} +(3.36197e7 - 7.31693e7i) q^{58} +(1.76815e8 + 3.51707e7i) q^{59} +(-1.60660e8 - 8.13507e7i) q^{60} +(-2.73962e7 - 1.83056e7i) q^{61} +(1.44073e7 + 9.02276e7i) q^{62} -1.54790e8 q^{63} +(7.80676e7 - 1.09178e8i) q^{64} +2.74507e8 q^{65} +(659210. + 4.12839e6i) q^{66} +(-1.62295e8 - 1.08442e8i) q^{67} +(1.46135e8 - 2.88602e8i) q^{68} +(1.58918e7 + 3.16107e6i) q^{69} +(-2.13885e8 + 4.65496e8i) q^{70} +(2.91453e7 - 7.03629e7i) q^{71} +(-1.17110e8 - 9.92580e7i) q^{72} +(2.73722e7 + 6.60823e7i) q^{73} +(-7.58778e6 + 1.99534e8i) q^{74} +(1.81800e8 + 2.72082e8i) q^{75} +(1.50814e8 + 2.67712e8i) q^{76} +(1.16644e7 - 2.32019e6i) q^{77} +(5.65710e8 + 1.35061e8i) q^{78} +(-9.62769e6 - 9.62769e6i) q^{79} +(-4.60317e8 + 2.15030e8i) q^{80} +(3.34215e8 - 3.34215e8i) q^{81} +(3.49964e8 - 2.15065e8i) q^{82} +(-4.52771e7 - 2.27623e8i) q^{83} +(-6.69810e8 + 8.54070e8i) q^{84} +(-1.01816e9 + 6.80316e8i) q^{85} +(-6.82868e6 + 6.32835e6i) q^{86} +(-5.96657e8 + 2.47144e8i) q^{87} +(1.03128e7 + 5.72430e6i) q^{88} +(-4.15844e8 - 1.72248e8i) q^{89} +(2.01820e8 + 5.44941e8i) q^{90} +(3.22779e8 - 1.62272e9i) q^{91} +(3.46860e7 - 2.97763e7i) q^{92} +(4.07129e8 - 6.09312e8i) q^{93} +(-7.07430e8 + 9.76280e8i) q^{94} -1.16313e9i q^{95} +(-1.05443e9 + 2.16657e8i) q^{96} +2.67663e8i q^{97} +(1.76085e9 + 1.27594e9i) q^{98} +(7.49509e6 - 1.12172e7i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 568 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 157456 q^{99}+O(q^{100}) $ 568 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 + 3576336 * q^22 - 8 * q^23 + 12096992 * q^24 - 8 * q^25 - 2105968 * q^26 - 8 * q^27 - 21791488 * q^28 - 8 * q^29 + 44263272 * q^30 + 29441312 * q^32 - 38537008 * q^34 - 8 * q^35 - 110500728 * q^36 - 8 * q^37 + 66947312 * q^38 - 8 * q^39 + 97089632 * q^40 - 8 * q^41 - 224559088 * q^42 - 8 * q^43 + 146176992 * q^44 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 + 182758288 * q^50 - 360057320 * q^51 - 25227512 * q^52 - 8 * q^53 - 646232264 * q^54 + 280217656 * q^55 + 203163008 * q^56 - 8 * q^57 + 855153280 * q^58 - 576150472 * q^59 + 230939416 * q^60 - 8 * q^61 - 597609496 * q^62 + 1260236864 * q^63 - 1364809832 * q^64 - 16 * q^65 + 186013784 * q^66 - 1007094968 * q^67 + 1004327944 * q^68 - 8 * q^69 + 1869092056 * q^70 - 476202952 * q^71 - 714729104 * q^72 - 8 * q^73 - 2182183312 * q^74 + 2309166136 * q^75 - 888710984 * q^76 - 8 * q^77 + 5243787376 * q^78 - 2269128680 * q^79 - 5193915232 * q^80 - 8 * q^81 + 3136405672 * q^82 - 8 * q^83 + 6148771880 * q^84 - 8 * q^85 - 988828368 * q^86 - 8 * q^87 - 4940685368 * q^88 - 8 * q^89 - 7222410008 * q^90 - 8 * q^91 + 1729489584 * q^92 + 157456 * q^93 + 6710490136 * q^94 + 10366581632 * q^96 + 2543861360 * q^98 + 157456 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/64\mathbb{Z}\right)^\times$.

$n$	$5$	$63$
$\chi(n)$	$e\left(\frac{1}{16}\right)$	$1$

Coefficient data

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

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

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

$2$	−22.3444	+	3.56788i	−0.987490	+	0.157680i
$2$	−22.3444	+	3.56788i	−0.987490	+	0.157680i
$3$	150.893	+	100.823i	1.07553	+	0.718646i	0.961493	−	0.274830i	$-0.0886216\pi$
$3$	150.893	+	100.823i	1.07553	+	0.718646i	0.114037	+	0.993476i	$0.463622\pi$
$4$	486.540	−	159.444i	0.950274	−	0.311414i
$5$	−1900.87	−	378.107i	−1.36015	−	0.270551i	−0.539503	−	0.841983i	$-0.681388\pi$
$5$	−1900.87	−	378.107i	−1.36015	−	0.270551i	−0.820649	+	0.571432i	$0.806388\pi$
$6$	−3731.33	−	1714.46i	−1.17539	−	0.540067i
$7$	−4470.29	+	10792.2i	−0.703711	+	1.69891i	0.0114368	+	0.999935i	$0.496359\pi$
$7$	−4470.29	+	10792.2i	−0.703711	+	1.69891i	−0.715148	+	0.698974i	$0.753641\pi$
$8$	−10302.6	+	5298.59i	−0.889283	+	0.457357i
$9$	5070.92	+	12242.3i	0.257629	+	0.621972i
$10$	43822.8	+	1666.47i	1.38580	+	0.0526984i
$11$	−565.627	−	846.521i	−0.0116483	−	0.0174329i	0.825600	−	0.564256i	$-0.190837\pi$
$11$	−565.627	−	846.521i	−0.0116483	−	0.0174329i	−0.837248	+	0.546823i	$0.815837\pi$
$12$	89491.1	+	24995.7i	1.24585	+	0.347976i
$13$	−138915.	+	27631.9i	−1.34897	+	0.268327i	−0.816121	−	0.577881i	$-0.803880\pi$
$13$	−138915.	+	27631.9i	−1.34897	+	0.268327i	−0.532852	+	0.846208i	$0.678880\pi$
$14$	61380.3	−	257095.i	0.427025	−	1.78862i
$15$	−248706.	−	248706.i	−1.26845	−	1.26845i
$16$	211299.	−	155152.i	0.806043	−	0.591858i
$17$	446764.	−	446764.i	1.29735	−	1.29735i	0.367216	−	0.930136i	$-0.380311\pi$
$17$	446764.	−	446764.i	1.29735	−	1.29735i	0.930136	−	0.367216i	$-0.119689\pi$
$18$	−156985.	−	255453.i	−0.352479	−	0.573568i
$19$	117081.	+	588605.i	0.206108	+	1.03617i	0.935836	+	0.352437i	$0.114647\pi$
$19$	117081.	+	588605.i	0.206108	+	1.03617i	−0.729728	+	0.683738i	$0.760353\pi$
$20$	−985137.	+	119118.i	−1.37677	+	0.166473i
$21$	−1.76264e6	+	1.17776e6i	−1.97778	+	1.32151i
$22$	15658.9	+	16896.9i	0.0142514	+	0.0153782i
$23$	82488.3	−	34167.8i	0.0614635	−	0.0254590i	−0.351740	−	0.936098i	$-0.614410\pi$
$23$	82488.3	−	34167.8i	0.0614635	−	0.0254590i	0.413203	+	0.910639i	$0.364410\pi$
$24$	−2.08880e6	−	239219.i	−1.28513	−	0.147178i
$25$	1.66589e6	+	690036.i	0.852938	+	0.353298i
$26$	3.00537e6	−	1.11305e6i	1.28979	−	0.477676i
$27$	227723.	−	1.14484e6i	0.0824652	−	0.414581i
$28$	−454219.	+	5.96362e6i	−0.139654	+	1.83357i
$29$	−1.97709e6	+	2.95893e6i	−0.519082	+	0.776861i	−0.994703	−	0.102789i	$-0.967223\pi$
$29$	−1.97709e6	+	2.95893e6i	−0.519082	+	0.776861i	0.475621	+	0.879650i	$0.342223\pi$
$30$	6.44452e6	+	4.66981e6i	1.45260	+	1.05258i
$31$		−	4.03805e6i		−	0.785315i	−0.919685	−	0.392657i	$-0.871556\pi$
$31$		−	4.03805e6i		−	0.785315i	0.919685	−	0.392657i	$-0.128444\pi$
$32$	−4.16778e6	+	4.22066e6i	−0.702635	+	0.711550i
$33$		−	184762.i		−	0.0271207i
$34$	−8.38865e6	+	1.15766e7i	−1.07656	+	1.48569i
$35$	1.25781e7	−	1.88244e7i	1.41680	−	2.12038i
$36$	4.41916e6	+	5.14783e6i	0.438509	+	0.510815i
$37$	1.72160e6	−	8.65506e6i	0.151016	−	0.759211i	−0.828837	−	0.559491i	$-0.810997\pi$
$37$	1.72160e6	−	8.65506e6i	0.151016	−	0.759211i	0.979853	−	0.199720i	$-0.0640033\pi$
$38$	−4.71617e6	−	1.27343e7i	−0.366913	−	0.990713i
$39$	−2.37472e7	−	9.83639e6i	−1.64369	−	0.680840i
$40$	2.15873e7	−	6.17647e6i	1.33330	−	0.381479i
$41$	−1.67716e7	+	6.94701e6i	−0.926928	+	0.383946i	−0.794512	−	0.607248i	$-0.792273\pi$
$41$	−1.67716e7	+	6.94701e6i	−0.926928	+	0.383946i	−0.132416	+	0.991194i	$0.542273\pi$
$42$	3.51830e7	−	3.26052e7i	1.74466	−	1.61683i
$43$	342112.	−	228592.i	0.0152602	−	0.0101965i	−0.547917	−	0.836533i	$-0.684579\pi$
$43$	342112.	−	228592.i	0.0152602	−	0.0101965i	0.563177	+	0.826336i	$0.309579\pi$
$44$	−410173.	−	321681.i	−0.0164980	−	0.0129386i
$45$	−5.01027e6	−	2.51883e7i	−0.182140	−	0.915679i
$46$	−1.72124e6	+	1.05777e6i	−0.0566802	+	0.0348321i
$47$	3.76764e7	−	3.76764e7i	1.12623	−	1.12623i	0.135451	−	0.990784i	$-0.456752\pi$
$47$	3.76764e7	−	3.76764e7i	1.12623	−	1.12623i	0.990784	−	0.135451i	$-0.0432482\pi$
$48$	4.75264e7	−	2.10741e6i	1.29226	−	0.0573012i
$49$	−6.79544e7	−	6.79544e7i	−1.68397	−	1.68397i
$50$	−3.96853e7	−	9.47469e6i	−0.897975	−	0.214388i
$51$	1.12458e8	−	2.23692e7i	2.32768	−	0.463004i
$52$	−6.31819e7	+	3.55931e7i	−1.19833	+	0.675074i
$53$	−6.60264e6	−	9.88155e6i	−0.114941	−	0.172022i	0.769538	−	0.638601i	$-0.220486\pi$
$53$	−6.60264e6	−	9.88155e6i	−0.114941	−	0.172022i	−0.884480	+	0.466579i	$0.845486\pi$
$54$	−1.00367e6	+	2.63933e7i	−0.0160627	+	0.422397i
$55$	755109.	+	1.82300e6i	0.0111270	+	0.0268629i
$56$	−1.11282e7	−	1.34874e8i	−0.151210	−	1.83266i
$57$	−4.16785e7	+	1.00621e8i	−0.522968	+	1.26256i
$58$	3.36197e7	−	7.31693e7i	0.390093	−	0.848991i
$59$	1.76815e8	+	3.51707e7i	1.89970	+	0.377874i	0.998462	−	0.0554466i	$-0.0176583\pi$
$59$	1.76815e8	+	3.51707e7i	1.89970	+	0.377874i	0.901240	+	0.433321i	$0.142658\pi$
$60$	−1.60660e8	−	8.13507e7i	−1.60039	−	0.810365i
$61$	−2.73962e7	−	1.83056e7i	−0.253341	−	0.169277i	0.422414	−	0.906403i	$-0.361183\pi$
$61$	−2.73962e7	−	1.83056e7i	−0.253341	−	0.169277i	−0.675756	+	0.737125i	$0.736183\pi$
$62$	1.44073e7	+	9.02276e7i	0.123828	+	0.775491i
$63$	−1.54790e8			−1.23797
$64$	7.80676e7	−	1.09178e8i	0.581649	−	0.813440i
$65$	2.74507e8			1.90741
$66$	659210.	+	4.12839e6i	0.00427638	+	0.0267814i
$67$	−1.62295e8	−	1.08442e8i	−0.983939	−	0.657447i	−0.0440862	−	0.999028i	$-0.514038\pi$
$67$	−1.62295e8	−	1.08442e8i	−0.983939	−	0.657447i	−0.939852	+	0.341581i	$0.889038\pi$
$68$	1.46135e8	−	2.88602e8i	0.828826	−	1.63685i
$69$	1.58918e7	+	3.16107e6i	0.0844018	+	0.0167886i
$70$	−2.13885e8	+	4.65496e8i	−1.06473	+	2.31726i
$71$	2.91453e7	−	7.03629e7i	0.136115	−	0.328610i	−0.841095	−	0.540888i	$-0.818088\pi$
$71$	2.91453e7	−	7.03629e7i	0.136115	−	0.328610i	0.977209	+	0.212278i	$0.0680882\pi$
$72$	−1.17110e8	−	9.92580e7i	−0.513569	−	0.435281i
$73$	2.73722e7	+	6.60823e7i	0.112812	+	0.272353i	0.970195	−	0.242327i	$-0.0779107\pi$
$73$	2.73722e7	+	6.60823e7i	0.112812	+	0.272353i	−0.857382	+	0.514680i	$0.827911\pi$
$74$	−7.58778e6	+	1.99534e8i	−0.0294152	+	0.773526i
$75$	1.81800e8	+	2.72082e8i	0.663464	+	0.992943i
$76$	1.50814e8	+	2.67712e8i	0.518538	+	0.920465i
$77$	1.16644e7	−	2.32019e6i	0.0378140	−	0.00752168i
$78$	5.65710e8	+	1.35061e8i	1.73049	+	0.413146i
$79$	−9.62769e6	−	9.62769e6i	−0.0278099	−	0.0278099i	0.693065	−	0.720875i	$-0.256260\pi$
$79$	−9.62769e6	−	9.62769e6i	−0.0278099	−	0.0278099i	−0.720875	+	0.693065i	$0.756260\pi$
$80$	−4.60317e8	+	2.15030e8i	−1.25647	+	0.586941i
$81$	3.34215e8	−	3.34215e8i	0.862667	−	0.862667i
$82$	3.49964e8	−	2.15065e8i	0.854792	−	0.525301i
$83$	−4.52771e7	−	2.27623e8i	−0.104719	−	0.526460i	−0.997161	−	0.0752974i	$-0.976009\pi$
$83$	−4.52771e7	−	2.27623e8i	−0.104719	−	0.526460i	0.892442	−	0.451163i	$-0.148991\pi$
$84$	−6.69810e8	+	8.54070e8i	−1.46789	+	1.87170i
$85$	−1.01816e9	+	6.80316e8i	−2.11560	+	1.41360i
$86$	−6.82868e6	+	6.32835e6i	−0.0134615	+	0.0124752i
$87$	−5.96657e8	+	2.47144e8i	−1.11658	+	0.462501i
$88$	1.03128e7	+	5.72430e6i	0.0183317	+	0.0101754i
$89$	−4.15844e8	−	1.72248e8i	−0.702548	−	0.291005i	0.00266911	−	0.999996i	$-0.499150\pi$
$89$	−4.15844e8	−	1.72248e8i	−0.702548	−	0.291005i	−0.705217	+	0.708992i	$0.749150\pi$
$90$	2.01820e8	+	5.44941e8i	0.324245	+	0.875504i
$91$	3.22779e8	−	1.62272e9i	0.493423	−	2.48061i
$92$	3.46860e7	−	2.97763e7i	0.0504789	−	0.0433336i
$93$	4.07129e8	−	6.09312e8i	0.564364	−	0.844630i
$94$	−7.07430e8	+	9.76280e8i	−0.934562	+	1.28973i
$95$		−	1.16313e9i		−	1.46512i
$96$	−1.05443e9	+	2.16657e8i	−1.26706	+	0.260347i
$97$			2.67663e8i			0.306983i	0.988150	+	0.153492i	$0.0490518\pi$
$97$			2.67663e8i			0.306983i	−0.988150	+	0.153492i	$0.950948\pi$
$98$	1.76085e9	+	1.27594e9i	1.92844	+	1.39738i
$99$	7.49509e6	−	1.12172e7i	0.00784185	−	0.0117362i
$100$	9.20547e8	+	7.01135e7i	0.920547	+	0.0701135i
$101$	−8.35194e7	+	4.19880e8i	−0.0798622	+	0.401494i	0.920090	+	0.391707i	$0.128115\pi$
$101$	−8.35194e7	+	4.19880e8i	−0.0798622	+	0.401494i	−0.999952	+	0.00978714i	$0.996885\pi$
$102$	−2.43298e9	+	9.01060e8i	−2.22555	+	0.824239i
$103$	−8.35526e8	−	3.46086e8i	−0.731463	−	0.302982i	−0.0143099	−	0.999898i	$-0.504555\pi$
$103$	−8.35526e8	−	3.46086e8i	−0.731463	−	0.302982i	−0.717153	+	0.696916i	$0.754555\pi$
$104$	1.28477e9	−	1.02073e9i	1.07690	−	0.855582i
$105$	3.79587e9	−	1.57230e9i	3.04761	−	1.26236i
$106$	1.82788e8	+	1.97240e8i	0.140628	+	0.151746i
$107$	−1.01822e9	+	6.80354e8i	−0.750957	+	0.501774i	−0.871174	−	0.490974i	$-0.836641\pi$
$107$	−1.01822e9	+	6.80354e8i	−0.750957	+	0.501774i	0.120217	+	0.992748i	$0.461641\pi$
$108$	−7.17417e7	−	5.93321e8i	−0.0507417	−	0.419646i
$109$	2.22692e8	+	1.11955e9i	0.151107	+	0.759666i	0.979803	+	0.199967i	$0.0640834\pi$
$109$	2.22692e8	+	1.11955e9i	0.151107	+	0.759666i	−0.828696	+	0.559700i	$0.810917\pi$
$110$	−2.33767e7	−	3.80395e7i	−0.0152235	−	0.0247724i
$111$	1.13241e9	−	1.13241e9i	0.708027	−	0.708027i
$112$	7.29867e8	+	2.97396e9i	0.438291	+	1.78589i
$113$	−2.24582e9	−	2.24582e9i	−1.29575	−	1.29575i	−0.931171	−	0.364584i	$-0.881211\pi$
$113$	−2.24582e9	−	2.24582e9i	−1.29575	−	1.29575i	−0.364584	−	0.931171i	$-0.618789\pi$
$114$	5.72276e8	−	2.39701e9i	0.317346	−	1.32922i
$115$	−1.69719e8	+	3.37591e7i	−0.0904877	+	0.0179991i
$116$	−4.90152e8	+	1.75487e9i	−0.251345	+	0.899880i
$117$	−1.04270e9	−	1.56051e9i	−0.514427	−	0.769894i
$118$	−4.07630e9	−	1.55012e8i	−1.93552	−	0.0736029i
$119$	2.82441e9	+	6.81874e9i	1.29112	+	3.11704i
$120$	3.88009e9	+	1.24451e9i	1.70815	+	0.547878i
$121$	9.01951e8	−	2.17750e9i	0.382515	−	0.923473i
$122$	6.77463e8	+	3.11280e8i	0.276864	+	0.127213i
$123$	−3.23113e9	−	6.42711e8i	−1.27286	−	0.253188i
$124$	−6.43843e8	−	1.96467e9i	−0.244558	−	0.746265i
$125$	2.41681e8	+	1.61486e8i	0.0885418	+	0.0591617i
$126$	3.45868e9	−	5.52272e8i	1.22248	−	0.195202i
$127$	−1.57890e9			−0.538566			−0.269283	−	0.963061i	$-0.586787\pi$
$127$	−1.57890e9			−0.538566			−0.269283	+	0.963061i	$0.586787\pi$
$128$	−1.35484e9	+	2.71805e9i	−0.446110	+	0.894978i
$129$	7.46695e7			0.0237405
$130$	−6.13368e9	+	9.79408e8i	−1.88354	+	0.300759i
$131$	2.26640e9	+	1.51436e9i	0.672382	+	0.449272i	0.844322	−	0.535836i	$-0.180003\pi$
$131$	2.26640e9	+	1.51436e9i	0.672382	+	0.449272i	−0.171940	+	0.985107i	$0.555003\pi$
$132$	−2.94592e7	−	8.98943e7i	−0.00844576	−	0.0257721i
$133$	−6.87574e9	−	1.36767e9i	−1.90541	−	0.379009i
$134$	4.01328e9	+	1.84402e9i	1.07530	+	0.494075i
$135$	−8.65745e8	+	2.09009e9i	−0.224330	+	0.541582i
$136$	−2.23559e9	+	6.97003e9i	−0.560360	+	1.74707i
$137$	2.59852e9	+	6.27337e9i	0.630207	+	1.52145i	0.839363	+	0.543571i	$0.182928\pi$
$137$	2.59852e9	+	6.27337e9i	0.630207	+	1.52145i	−0.209157	+	0.977882i	$0.567072\pi$
$138$	−3.66370e8	−	1.39321e7i	−0.0859932	−	0.00327011i
$139$	−2.34893e9	−	3.51543e9i	−0.533709	−	0.798751i	0.462420	−	0.886661i	$-0.346981\pi$
$139$	−2.34893e9	−	3.51543e9i	−0.533709	−	0.798751i	−0.996128	+	0.0879098i	$0.971981\pi$
$140$	3.11830e9	−	1.11643e10i	0.686027	−	2.45616i
$141$	9.48375e9	−	1.88644e9i	2.02066	−	0.401935i
$142$	−4.00186e8	+	1.67620e9i	−0.0825969	+	0.345962i
$143$	1.01965e8	+	1.01965e8i	0.0203910	+	0.0203910i
$144$	2.97089e9	+	1.80002e9i	0.575779	+	0.348856i
$145$	4.87699e9	−	4.87699e9i	0.916211	−	0.916211i
$146$	−8.47387e8	−	1.37891e9i	−0.154346	−	0.251158i
$147$	−3.40244e9	−	1.71052e10i	−0.600983	−	3.02134i
$148$	−5.42370e8	−	4.48554e9i	−0.0929219	−	0.768487i
$149$	3.44622e9	−	2.30269e9i	0.572802	−	0.382734i	−0.235171	−	0.971954i	$-0.575565\pi$
$149$	3.44622e9	−	2.30269e9i	0.572802	−	0.382734i	0.807973	+	0.589220i	$0.200565\pi$
$150$	−5.03295e9	−	5.43086e9i	−0.811731	−	0.875907i
$151$	−5.69470e9	+	2.35882e9i	−0.891404	+	0.369231i	−0.780909	−	0.624645i	$-0.785244\pi$
$151$	−5.69470e9	+	2.35882e9i	−0.891404	+	0.369231i	−0.110495	+	0.993877i	$0.535244\pi$
$152$	−4.32501e9	−	5.44377e9i	−0.657190	−	0.827187i
$153$	7.73490e9	+	3.20390e9i	1.14115	+	0.472681i
$154$	−2.52355e8	+	9.34601e7i	−0.0361550	+	0.0133901i
$155$	−1.52681e9	+	7.67581e9i	−0.212468	+	1.06815i
$156$	−1.31223e10	−	9.99462e8i	−1.77398	−	0.135116i
$157$	1.17923e9	−	1.76484e9i	0.154899	−	0.231823i	−0.745901	−	0.666057i	$-0.767981\pi$
$157$	1.17923e9	−	1.76484e9i	0.154899	−	0.231823i	0.900800	+	0.434234i	$0.142981\pi$
$158$	2.49475e8	+	1.80774e8i	0.0318471	+	0.0230770i
$159$		−	2.15675e9i		−	0.267617i
$160$	9.51827e9	−	6.44706e9i	1.14820	−	0.777718i
$161$			1.04297e9i			0.122337i
$162$	−6.27538e9	+	8.66026e9i	−0.715851	+	0.987901i
$163$	1.07548e9	−	1.60958e9i	0.119333	−	0.178594i	−0.766994	−	0.641654i	$-0.778249\pi$
$163$	1.07548e9	−	1.60958e9i	0.119333	−	0.178594i	0.886327	+	0.463060i	$0.153249\pi$
$164$	−7.05238e9	+	6.05412e9i	−0.761270	+	0.653513i
$165$	−6.98599e7	+	3.51209e8i	−0.00733753	+	0.0368883i
$166$	1.82382e9	+	4.92455e9i	0.186421	+	0.503362i
$167$	−3.12294e9	−	1.29356e9i	−0.310698	−	0.128696i	0.221885	−	0.975073i	$-0.428779\pi$
$167$	−3.12294e9	−	1.29356e9i	−0.310698	−	0.128696i	−0.532584	+	0.846377i	$0.678779\pi$
$168$	1.19192e10	−	2.14734e10i	1.15440	−	2.07974i
$169$	8.73651e9	−	3.61878e9i	0.823849	−	0.341249i
$170$	2.03229e10	−	1.88339e10i	1.86624	−	1.72950i
$171$	−6.61216e9	+	4.41810e9i	−0.591372	+	0.395142i
$172$	1.30004e8	−	1.65767e8i	0.0113260	−	0.0144417i
$173$	−6.40144e8	−	3.21822e9i	−0.0543338	−	0.273155i	0.944062	−	0.329767i	$-0.106970\pi$
$173$	−6.40144e8	−	3.21822e9i	−0.0543338	−	0.273155i	−0.998396	+	0.0566122i	$0.981970\pi$
$174$	1.24501e10	−	7.65107e9i	1.02968	−	0.632777i
$175$	−1.48940e10	+	1.48940e10i	−1.20044	+	1.20044i
$176$	−2.50856e8	−	9.11111e7i	−0.0197069	−	0.00715755i
$177$	2.31341e10	+	2.31341e10i	1.77163	+	1.77163i
$178$	9.90634e9	+	2.36510e9i	0.739645	+	0.176587i
$179$	−1.52784e10	+	3.03906e9i	−1.11234	+	0.221259i	−0.716863	−	0.697215i	$-0.754423\pi$
$179$	−1.52784e10	+	3.03906e9i	−1.11234	+	0.221259i	−0.395482	+	0.918474i	$0.629423\pi$
$180$	−6.45383e9	−	1.14563e10i	−0.458238	−	0.813425i
$181$	−1.75947e9	−	2.63324e9i	−0.121851	−	0.182363i	0.765529	−	0.643401i	$-0.222477\pi$
$181$	−1.75947e9	−	2.63324e9i	−0.121851	−	0.182363i	−0.887380	+	0.461038i	$0.847477\pi$
$182$	−1.42262e9	+	3.74103e10i	−0.0961098	+	2.52738i
$183$	−2.28826e9	−	5.52435e9i	−0.150826	−	0.364126i
$184$	−6.68799e8	+	7.89087e8i	−0.0430146	+	0.0507510i
$185$	−6.54507e9	+	1.58012e10i	−0.410811	+	0.991785i
$186$	−6.92309e9	+	1.50673e10i	−0.424123	+	0.923052i
$187$	−6.30897e8	−	1.25493e8i	−0.0377286	−	0.00750469i
$188$	1.23238e10	−	2.43384e10i	0.719507	−	1.42096i
$189$	1.13374e10	+	7.57542e9i	0.646303	+	0.431846i
$190$	4.14991e9	+	2.59894e10i	0.231019	+	1.44679i
$191$	−1.20534e10			−0.655330			−0.327665	−	0.944794i	$-0.606262\pi$
$191$	−1.20534e10			−0.655330			−0.327665	+	0.944794i	$0.606262\pi$
$192$	2.27875e10	−	8.60315e9i	1.21016	−	0.456880i
$193$	−3.48137e10			−1.80610			−0.903050	−	0.429535i	$-0.858678\pi$
$193$	−3.48137e10			−1.80610			−0.903050	+	0.429535i	$0.858678\pi$
$194$	−9.54989e8	−	5.98075e9i	−0.0484050	−	0.303143i
$195$	4.14211e10	+	2.76767e10i	2.05147	+	1.37075i
$196$	−4.38975e10	−	2.22276e10i	−2.12465	−	1.07582i
$197$	−2.82511e10	−	5.61949e9i	−1.33640	−	0.265827i	−0.525392	−	0.850860i	$-0.676081\pi$
$197$	−2.82511e10	−	5.61949e9i	−1.33640	−	0.265827i	−0.811009	+	0.585033i	$0.801081\pi$
$198$	−1.27451e8	+	2.77383e8i	−0.00589320	+	0.0128258i
$199$	8.00197e9	−	1.93185e10i	0.361708	−	0.873240i	−0.633343	−	0.773871i	$-0.718318\pi$
$199$	8.00197e9	−	1.93185e10i	0.361708	−	0.873240i	0.995051	−	0.0993686i	$-0.0316823\pi$
$200$	−2.08192e10	+	1.71776e9i	−0.920086	+	0.0759150i
$201$	−1.35556e10	−	3.27262e10i	−0.585784	−	1.41421i
$202$	3.68104e8	−	9.67995e9i	0.0155557	−	0.409064i
$203$	−2.30952e10	−	3.45645e10i	−0.954532	−	1.42856i
$204$	5.11485e10	−	2.88142e10i	2.06775	−	1.16485i
$205$	3.45073e10	−	6.86392e9i	1.36464	−	0.271444i
$206$	1.99041e10	+	4.75201e9i	0.770087	+	0.183855i
$207$	8.36582e8	+	8.36582e8i	0.0316696	+	0.0316696i
$208$	−2.50654e10	+	2.73915e10i	−0.928518	+	1.01468i
$209$	4.32043e8	−	4.32043e8i	0.0156628	−	0.0156628i
$210$	−7.92065e10	+	4.86753e10i	−2.81044	+	1.72712i
$211$	8.10156e9	+	4.07293e10i	0.281383	+	1.41461i	0.820148	+	0.572151i	$0.193891\pi$
$211$	8.10156e9	+	4.07293e10i	0.281383	+	1.41461i	−0.538765	+	0.842456i	$0.681109\pi$
$212$	−4.78801e9	−	3.75502e9i	−0.162796	−	0.127674i
$213$	1.14920e10	−	7.67872e9i	0.382550	−	0.255612i
$214$	2.03241e10	−	1.88350e10i	0.662444	−	0.613907i
$215$	−7.36742e8	+	3.05169e8i	−0.0235149	+	0.00974017i
$216$	3.71992e9	+	1.30014e10i	0.116276	+	0.406395i
$217$	4.35795e10	+	1.80512e10i	1.33418	+	0.552635i
$218$	−8.97031e9	−	2.42210e10i	−0.269001	−	0.726337i
$219$	−2.53237e9	+	1.27311e10i	−0.0743924	+	0.373996i
$220$	6.58057e8	+	7.66563e8i	0.0189392	+	0.0220621i
$221$	−4.97171e10	+	7.44070e10i	−1.40198	+	2.09821i
$222$	−2.12626e10	+	2.93432e10i	−0.587528	+	0.810811i
$223$			5.39682e10i			1.46139i	0.682704	+	0.730695i	$0.260804\pi$
$223$			5.39682e10i			1.46139i	−0.682704	+	0.730695i	$0.739196\pi$
$224$	−2.69191e10	−	6.38472e10i	−0.714406	−	1.69444i
$225$			2.38934e10i			0.621523i
$226$	5.81943e10	+	4.21687e10i	1.48386	+	1.07523i
$227$	6.98772e9	−	1.04579e10i	0.174670	−	0.261413i	−0.733797	−	0.679369i	$-0.762254\pi$
$227$	6.98772e9	−	1.04579e10i	0.174670	−	0.261413i	0.908467	+	0.417957i	$0.137254\pi$
$228$	−4.23489e9	+	5.56014e10i	−0.103785	+	1.36263i
$229$	−8.93555e9	+	4.49221e10i	−0.214715	+	1.07944i	0.711569	+	0.702616i	$0.247985\pi$
$229$	−8.93555e9	+	4.49221e10i	−0.214715	+	1.07944i	−0.926284	+	0.376827i	$0.877015\pi$
$230$	3.67181e9	−	1.35986e9i	0.0865176	−	0.0320420i
$231$	1.99400e9	+	8.25940e8i	0.0460755	+	0.0190851i
$232$	4.69095e9	−	4.09603e10i	0.106308	−	0.928255i
$233$	4.03374e10	−	1.67083e10i	0.896615	−	0.371390i	0.113698	−	0.993515i	$-0.463731\pi$
$233$	4.03374e10	−	1.67083e10i	0.896615	−	0.371390i	0.782918	+	0.622125i	$0.213731\pi$
$234$	2.88662e10	+	3.11484e10i	0.629388	+	0.679149i
$235$	−8.58637e10	+	5.73723e10i	−1.83656	+	1.22715i
$236$	9.16355e10	−	1.10801e10i	1.92291	−	0.232510i
$237$	−4.82053e8	−	2.42344e9i	−0.00992492	−	0.0498959i
$238$	−8.74381e10	−	1.42283e11i	−1.76646	−	2.87446i
$239$	1.85077e10	−	1.85077e10i	0.366912	−	0.366912i	−0.499438	−	0.866350i	$-0.666460\pi$
$239$	1.85077e10	−	1.85077e10i	0.366912	−	0.366912i	0.866350	+	0.499438i	$0.166460\pi$
$240$	−9.11384e10	−	1.39641e10i	−1.77317	−	0.271684i
$241$	−4.17360e10	−	4.17360e10i	−0.796955	−	0.796955i	0.185659	−	0.982614i	$-0.440558\pi$
$241$	−4.17360e10	−	4.17360e10i	−0.796955	−	0.796955i	−0.982614	+	0.185659i	$0.940558\pi$
$242$	−1.23844e10	+	5.18729e10i	−0.232117	+	0.972236i
$243$	6.15933e10	−	1.22517e10i	1.13320	−	0.225407i
$244$	−1.62481e10	−	4.53824e9i	−0.293459	−	0.0819658i
$245$	1.03479e11	+	1.54867e11i	1.83486	+	2.74606i
$246$	7.44905e10	+	2.83269e9i	1.29686	+	0.0493163i
$247$	−3.25285e10	−	7.85308e10i	−0.556068	−	1.34247i
$248$	2.13960e10	+	4.16022e10i	0.359169	+	0.698367i
$249$	1.61178e10	−	3.89117e10i	0.265710	−	0.641480i
$250$	−5.97638e9	−	2.74602e9i	−0.0967627	−	0.0444604i
$251$	−2.47637e9	−	4.92581e8i	−0.0393808	−	0.00783333i	0.175361	−	0.984504i	$-0.443891\pi$
$251$	−2.47637e9	−	4.92581e8i	−0.0393808	−	0.00783333i	−0.214741	+	0.976671i	$0.568891\pi$
$252$	−7.53115e10	+	2.46803e10i	−1.17641	+	0.385521i
$253$	−7.55814e7	−	5.05019e7i	−0.00115977	−	0.000774935i
$254$	3.52796e10	−	5.63334e9i	0.531829	−	0.0849208i
$255$	−2.22225e11			−3.29126
$256$	2.05752e10	−	6.55670e10i	0.299409	−	0.954125i
$257$	−3.03131e10			−0.433442			−0.216721	−	0.976234i	$-0.569536\pi$
$257$	−3.03131e10			−0.433442			−0.216721	+	0.976234i	$0.569536\pi$
$258$	−1.66844e9	+	2.66412e8i	−0.0234435	+	0.00374339i
$259$	8.57113e10	+	5.72705e10i	1.18356	+	0.790828i
$260$	1.33559e11	−	4.37685e10i	1.81256	−	0.593993i
$261$	−4.62497e10	−	9.19963e9i	−0.616916	−	0.122712i
$262$	−5.60444e10	−	2.57512e10i	−0.734812	−	0.337630i
$263$	3.63380e10	−	8.77278e10i	0.468339	−	1.13067i	−0.496549	−	0.868009i	$-0.665400\pi$
$263$	3.63380e10	−	8.77278e10i	0.468339	−	1.13067i	0.964888	−	0.262662i	$-0.0846004\pi$
$264$	9.78980e8	+	1.90352e9i	0.0124038	+	0.0241180i
$265$	8.81449e9	+	2.12801e10i	0.109797	+	0.265074i
$266$	1.58514e11	+	6.02788e9i	1.94133	+	0.0738239i
$267$	−4.53812e10	−	6.79178e10i	−0.546482	−	0.817868i
$268$	−9.62534e10	−	2.68844e10i	−1.13975	−	0.318342i
$269$	8.79053e10	−	1.74855e10i	1.02360	−	0.203607i	0.345378	−	0.938464i	$-0.387751\pi$
$269$	8.79053e10	−	1.74855e10i	1.02360	−	0.203607i	0.678222	+	0.734857i	$0.262751\pi$
$270$	1.18873e10	−	4.97907e10i	0.136128	−	0.570179i
$271$	6.14541e10	+	6.14541e10i	0.692132	+	0.692132i	0.962701	−	0.270569i	$-0.0872118\pi$
$271$	6.14541e10	+	6.14541e10i	0.692132	+	0.692132i	−0.270569	+	0.962701i	$0.587212\pi$
$272$	2.50846e10	−	1.63717e11i	0.277873	−	1.81357i
$273$	2.12313e11	−	2.12313e11i	2.31337	−	2.31337i
$274$	−8.04448e10	−	1.30903e11i	−0.862225	−	1.40305i
$275$	−3.58145e8	−	1.80052e9i	−0.00377626	−	0.0189845i
$276$	8.23601e9	−	9.95861e8i	0.0854331	−	0.0103302i
$277$	7.69442e10	−	5.14124e10i	0.785266	−	0.524698i	−0.0970929	−	0.995275i	$-0.530954\pi$
$277$	7.69442e10	−	5.14124e10i	0.785266	−	0.524698i	0.882359	+	0.470578i	$0.155954\pi$
$278$	6.50280e10	+	7.01692e10i	0.652979	+	0.704604i
$279$	4.94349e10	−	2.04766e10i	0.488444	−	0.202320i
$280$	−2.98433e10	+	2.60585e11i	−0.290159	+	2.53360i
$281$	−9.94795e10	−	4.12057e10i	−0.951820	−	0.394257i	−0.147906	−	0.989001i	$-0.547253\pi$
$281$	−9.94795e10	−	4.12057e10i	−0.951820	−	0.394257i	−0.803915	+	0.594745i	$0.797253\pi$
$282$	−2.05178e11	+	7.59881e10i	−1.93201	+	0.715524i
$283$	−1.97926e10	+	9.95043e10i	−0.183428	+	0.922153i	0.773935	+	0.633265i	$0.218286\pi$
$283$	−1.97926e10	+	9.95043e10i	−0.183428	+	0.922153i	−0.957363	+	0.288888i	$0.906714\pi$
$284$	2.96141e9	−	3.88814e10i	0.0270126	−	0.354658i
$285$	1.17271e11	−	1.75508e11i	1.05290	−	1.57578i
$286$	−2.64214e9	−	1.91454e9i	−0.0233512	−	0.0169207i
$287$		−	2.12058e11i		−	1.84495i
$288$	−7.28049e10	−	2.96205e10i	−0.623584	−	0.253703i
$289$		−	2.80608e11i		−	2.36624i
$290$	−9.15726e10	+	1.26374e11i	−0.760282	+	1.04922i
$291$	−2.69866e10	+	4.03883e10i	−0.220613	+	0.330170i
$292$	2.38541e10	+	2.77874e10i	0.192017	+	0.223679i
$293$	1.17069e10	−	5.88545e10i	0.0927977	−	0.466526i	−0.906244	−	0.422755i	$-0.861063\pi$
$293$	1.17069e10	−	5.88545e10i	0.0927977	−	0.466526i	0.999042	−	0.0437703i	$-0.0139370\pi$
$294$	1.37055e11	+	3.70065e11i	1.06987	+	2.88879i
$295$	−3.22804e11	−	1.33710e11i	−2.48165	−	1.02793i
$296$	2.81228e10	+	9.82913e10i	0.212934	+	0.744222i
$297$	−1.09794e9	+	4.54782e8i	−0.00818794	+	0.00339156i
$298$	−6.87878e10	+	6.37478e10i	−0.505287	+	0.468265i
$299$	−1.05147e10	+	7.02571e9i	−0.0760812	+	0.0508358i
$300$	1.31835e11	+	1.03392e11i	0.939689	+	0.736957i
$301$	9.37676e8	+	4.71402e9i	0.00658421	+	0.0331011i
$302$	1.18828e11	−	7.30243e10i	0.822032	−	0.505169i
$303$	−5.49362e10	+	5.49362e10i	−0.374427	+	0.374427i
$304$	1.16062e11	+	1.06206e11i	0.779399	+	0.713214i
$305$	4.51552e10	+	4.51552e10i	0.298785	+	0.298785i
$306$	−1.84263e11	−	4.39919e10i	−1.20141	−	0.286831i
$307$	−2.12734e11	+	4.23154e10i	−1.36683	+	0.271879i	−0.823346	−	0.567540i	$-0.807895\pi$
$307$	−2.12734e11	+	4.23154e10i	−1.36683	+	0.271879i	−0.543484	+	0.839420i	$0.682895\pi$
$308$	5.30525e9	−	2.98868e9i	0.0335913	−	0.0189235i
$309$	−9.11812e10	−	1.36462e11i	−0.568974	−	0.851529i
$310$	6.72929e9	−	1.76958e11i	0.0413848	−	1.08829i
$311$	−7.08370e10	−	1.71016e11i	−0.429377	−	1.03661i	−0.979486	−	0.201514i	$-0.935414\pi$
$311$	−7.08370e10	−	1.71016e11i	−0.429377	−	1.03661i	0.550109	−	0.835093i	$-0.314586\pi$
$312$	2.96775e11	−	2.44865e10i	1.77310	−	0.146296i
$313$	−4.45993e10	+	1.07672e11i	−0.262651	+	0.634095i	−0.999101	−	0.0423970i	$-0.986501\pi$
$313$	−4.45993e10	+	1.07672e11i	−0.262651	+	0.634095i	0.736450	+	0.676492i	$0.236501\pi$
$314$	−2.00523e10	+	4.36415e10i	−0.116408	+	0.253347i
$315$	2.94236e11	+	5.85271e10i	1.68383	+	0.334934i
$316$	−6.21934e9	−	3.14918e9i	−0.0350875	−	0.0177667i
$317$	−1.29096e11	−	8.62590e10i	−0.718034	−	0.479775i	0.142094	−	0.989853i	$-0.454616\pi$
$317$	−1.29096e11	−	8.62590e10i	−0.718034	−	0.479775i	−0.860128	+	0.510078i	$0.829616\pi$
$318$	7.69504e9	+	4.81913e10i	0.0421977	+	0.264269i
$319$	3.62309e9			0.0195894
$320$	−1.89677e11	+	1.78016e11i	−1.01121	+	0.949037i
$321$	−2.22238e11			−1.16827
$322$	−3.72120e9	−	2.33045e10i	−0.0192900	−	0.120806i
$323$	3.15275e11	+	2.10660e11i	1.61168	+	1.07689i
$324$	1.09321e11	−	2.15898e11i	0.551124	−	1.08842i
$325$	−2.50484e11	−	4.98244e10i	−1.24539	−	0.247723i
$326$	−1.82882e10	+	3.98021e10i	−0.0896793	+	0.195176i
$327$	−7.92738e10	+	1.91384e11i	−0.383411	+	0.925637i
$328$	1.35981e11	−	1.60438e11i	0.648701	−	0.765374i
$329$	2.38188e11	+	5.75036e11i	1.12083	+	2.70591i
$330$	3.07901e8	−	8.09680e9i	0.00142922	−	0.0375838i
$331$	1.23705e11	+	1.85138e11i	0.566452	+	0.847755i	0.998537	−	0.0540779i	$-0.0172219\pi$
$331$	1.23705e11	+	1.85138e11i	0.566452	+	0.847755i	−0.432085	+	0.901833i	$0.642222\pi$
$332$	−5.83223e10	−	1.03529e11i	−0.263459	−	0.467670i
$333$	1.14688e11	−	2.28128e10i	0.511114	−	0.101667i
$334$	7.43953e10	+	1.77616e10i	0.327104	+	0.0780948i
$335$	2.67499e11	+	2.67499e11i	1.16043	+	1.16043i
$336$	−1.89713e11	+	5.22337e11i	−0.812027	+	2.23575i
$337$	−1.41937e11	+	1.41937e11i	−0.599460	+	0.599460i	−0.940169	−	0.340709i	$-0.889333\pi$
$337$	−1.41937e11	+	1.41937e11i	−0.599460	+	0.599460i	0.340709	+	0.940169i	$0.389333\pi$
$338$	−1.82300e11	+	1.12030e11i	−0.759735	+	0.466885i
$339$	−1.12447e11	−	5.65310e11i	−0.462434	−	2.32481i
$340$	−3.86906e11	+	4.93341e11i	−1.57018	+	2.00213i
$341$	−3.41829e9	+	2.28403e9i	−0.0136904	+	0.00914760i
$342$	1.31981e11	−	1.22311e11i	0.521668	−	0.483446i
$343$	6.01650e11	−	2.49211e11i	2.34704	−	0.972175i
$344$	−2.31341e9	+	4.16779e9i	−0.00890717	+	0.0160470i
$345$	−2.90130e10	−	1.20176e10i	−0.110257	−	0.0456700i
$346$	2.57858e10	+	6.96252e10i	0.0967251	+	0.261170i
$347$	5.79266e10	−	2.91217e11i	0.214484	−	1.07829i	−0.712066	−	0.702113i	$-0.752240\pi$
$347$	5.79266e10	−	2.91217e11i	0.214484	−	1.07829i	0.926550	−	0.376172i	$-0.122760\pi$
$348$	−2.50892e11	+	2.15379e11i	−0.917024	+	0.787220i
$349$	−1.26869e11	+	1.89873e11i	−0.457764	+	0.685093i	−0.986512	−	0.163686i	$-0.947662\pi$
$349$	−1.26869e11	+	1.89873e11i	−0.457764	+	0.685093i	0.528748	+	0.848779i	$0.322662\pi$
$350$	2.79658e11	−	3.85938e11i	0.996140	−	1.37471i
$351$			1.65328e11i			0.581386i
$352$	5.93029e9	+	1.14079e9i	0.0205889	+	0.00396064i
$353$		−	2.71281e11i		−	0.929893i	−0.885339	−	0.464946i	$-0.846074\pi$
$353$		−	2.71281e11i		−	0.929893i	0.885339	−	0.464946i	$-0.153926\pi$
$354$	−5.99456e11	−	4.34377e11i	−2.02882	−	1.47012i
$355$	−8.20060e10	+	1.22731e11i	−0.274043	+	0.410134i
$356$	−2.29789e11	−	1.75019e10i	−0.758236	−	0.0577511i
$357$	−2.61304e11	+	1.31366e12i	−0.851411	+	4.28033i
$358$	3.30543e11	−	1.22417e11i	1.06354	−	0.393885i
$359$	−1.20547e11	−	4.99322e10i	−0.383029	−	0.158656i	0.182857	−	0.983140i	$-0.441466\pi$
$359$	−1.20547e11	−	4.99322e10i	−0.383029	−	0.158656i	−0.565885	+	0.824484i	$0.691466\pi$
$360$	1.85081e11	+	2.32957e11i	0.580766	+	0.730994i
$361$	−3.46235e10	+	1.43415e10i	−0.107297	+	0.0444440i
$362$	4.87094e10	+	5.25604e10i	0.149082	+	0.160868i
$363$	3.55641e11	−	2.37632e11i	1.07506	−	0.718330i
$364$	−1.01688e11	−	8.40985e11i	−0.303608	−	2.51092i
$365$	−2.70448e10	−	1.35963e11i	−0.0797565	−	0.400963i
$366$	7.08400e10	+	1.15274e11i	0.206354	+	0.335789i
$367$	−8.43438e10	+	8.43438e10i	−0.242692	+	0.242692i	−0.817963	−	0.575271i	$-0.804897\pi$
$367$	−8.43438e10	+	8.43438e10i	−0.242692	+	0.242692i	0.575271	+	0.817963i	$0.304897\pi$
$368$	1.21285e10	−	2.00178e10i	0.0344741	−	0.0568987i
$369$	−1.70094e11	−	1.70094e11i	−0.477607	−	0.477607i
$370$	8.98686e10	−	3.76420e11i	0.249287	−	1.04415i
$371$	1.36160e11	−	2.70838e10i	0.373135	−	0.0742212i
$372$	1.00934e11	−	3.61369e11i	0.273271	−	0.978381i
$373$	−2.83175e11	−	4.23802e11i	−0.757470	−	1.13363i	−0.987061	−	0.160347i	$-0.948739\pi$
$373$	−2.83175e11	−	4.23802e11i	−0.757470	−	1.13363i	0.229590	−	0.973287i	$-0.426261\pi$
$374$	1.45447e10	+	5.53099e8i	0.0384400	+	0.00146178i
$375$	2.01864e10	+	4.87342e10i	0.0527130	+	0.127260i
$376$	−1.88531e11	+	5.87795e11i	−0.486450	+	1.51663i
$377$	1.92887e11	−	4.65669e11i	0.491774	−	1.18725i
$378$	−2.80355e11	−	1.28817e11i	−0.706311	−	0.324535i
$379$	4.47402e11	+	8.89939e10i	1.11384	+	0.221556i	0.717507	−	0.696552i	$-0.245283\pi$
$379$	4.47402e11	+	8.89939e10i	1.11384	+	0.221556i	0.396331	+	0.918108i	$0.370283\pi$
$380$	−1.85454e11	−	5.65910e11i	−0.456258	−	1.39226i
$381$	−2.38245e11	−	1.59190e11i	−0.579244	−	0.387038i
$382$	2.69326e11	−	4.30052e10i	0.647132	−	0.103332i
$383$	1.97618e11			0.469279			0.234640	−	0.972082i	$-0.424609\pi$
$383$	1.97618e11			0.469279			0.234640	+	0.972082i	$0.424609\pi$
$384$	−4.78477e11	+	2.73535e11i	−1.12298	+	0.641981i
$385$	−2.30497e10			−0.0534678
$386$	7.77889e11	−	1.24211e11i	1.78351	−	0.284785i
$387$	4.53330e9	+	3.02905e9i	0.0102734	+	0.00686448i
$388$	4.26772e10	+	1.30229e11i	0.0955990	+	0.291719i
$389$	2.84622e11	+	5.66148e10i	0.630224	+	0.125359i	0.499859	−	0.866107i	$-0.333385\pi$
$389$	2.84622e11	+	5.66148e10i	0.630224	+	0.125359i	0.130365	+	0.991466i	$0.458385\pi$
$390$	−1.02427e12	−	4.70632e11i	−2.24195	−	1.03013i
$391$	2.15879e10	−	5.21177e10i	0.0467105	−	0.112769i
$392$	1.06017e12	+	3.40041e11i	2.26771	+	0.727352i
$393$	1.89301e11	+	4.57012e11i	0.400300	+	0.966410i
$394$	6.51302e11	+	2.47674e10i	1.36160	+	0.0517782i
$395$	1.46607e10	+	2.19413e10i	0.0303018	+	0.0453498i
$396$	1.85815e9	−	6.65267e9i	0.00379711	−	0.0135946i
$397$	−4.86633e11	+	9.67974e10i	−0.983206	+	0.195572i	−0.660417	−	0.750899i	$-0.729620\pi$
$397$	−4.86633e11	+	9.67974e10i	−0.983206	+	0.195572i	−0.322789	+	0.946471i	$0.604620\pi$
$398$	−1.09873e11	+	4.60209e11i	−0.219491	+	0.919350i
$399$	−8.99607e11	−	8.99607e11i	−1.77695	−	1.77695i
$400$	4.59062e11	−	1.12663e11i	0.896606	−	0.220044i
$401$	2.75851e11	−	2.75851e11i	0.532752	−	0.532752i	−0.388639	−	0.921390i	$-0.627055\pi$
$401$	2.75851e11	−	2.75851e11i	0.532752	−	0.532752i	0.921390	+	0.388639i	$0.127055\pi$
$402$	4.19655e11	+	6.82881e11i	0.801448	+	1.30415i
$403$	1.11579e11	+	5.60944e11i	0.210722	+	1.05937i
$404$	2.63118e10	+	2.17605e11i	0.0491400	+	0.406400i
$405$	−7.61668e11	+	5.08931e11i	−1.40675	+	0.939963i
$406$	6.39370e11	+	6.89920e11i	1.16785	+	1.26018i
$407$	−8.30048e9	+	3.43817e9i	−0.0149944	+	0.00621087i
$408$	−1.04007e12	+	8.26327e11i	−1.85821	+	1.47632i
$409$	−5.97818e11	−	2.47624e11i	−1.05637	−	0.437561i	−0.214205	−	0.976789i	$-0.568716\pi$
$409$	−5.97818e11	−	2.47624e11i	−1.05637	−	0.437561i	−0.842160	+	0.539228i	$0.818716\pi$
$410$	−7.46553e11	+	2.76488e11i	−1.30477	+	0.483224i
$411$	−2.40405e11	+	1.20860e12i	−0.415580	+	2.08926i
$412$	−4.61698e11	−	3.51653e10i	−0.789443	−	0.0601280i
$413$	−1.16998e12	+	1.75101e12i	−1.97881	+	2.96150i
$414$	−2.16777e10	−	1.57081e10i	−0.0362670	−	0.0262798i
$415$			4.49802e11i			0.744398i
$416$	4.62342e11	−	7.01475e11i	0.756908	−	1.14840i
$417$		−	7.67280e11i		−	1.24263i
$418$	−8.11224e9	+	1.11952e10i	−0.0129971	+	0.0179365i
$419$	3.77112e11	−	5.64388e11i	0.597733	−	0.894571i	−0.402045	−	0.915620i	$-0.631701\pi$
$419$	3.77112e11	−	5.64388e11i	0.597733	−	0.894571i	0.999778	+	0.0210491i	$0.00670063\pi$
$420$	1.59615e12	−	1.37022e12i	2.50295	−	2.14866i
$421$	5.19757e10	−	2.61299e11i	0.0806363	−	0.405386i	−0.919294	−	0.393572i	$-0.871239\pi$
$421$	5.19757e10	−	2.61299e11i	0.0806363	−	0.405386i	0.999930	−	0.0118145i	$-0.00376074\pi$
$422$	−3.26342e11	−	8.81165e11i	−0.500918	−	1.35254i
$423$	6.52298e11	+	2.70191e11i	0.990637	+	0.410335i
$424$	1.20382e11	+	6.68205e10i	0.180891	+	0.100407i
$425$	1.05254e12	−	4.35978e11i	1.56491	−	0.648208i
$426$	−2.29385e11	+	2.12578e11i	−0.337460	+	0.312734i
$427$	3.20027e11	−	2.13835e11i	0.465866	−	0.311282i
$428$	−3.86928e11	+	4.93369e11i	−0.557356	+	0.710681i
$429$	5.10533e9	+	2.56662e10i	0.00727722	+	0.0365851i
$430$	1.53732e10	−	9.44740e9i	0.0216849	−	0.0133261i
$431$	−2.83588e11	+	2.83588e11i	−0.395859	+	0.395859i	−0.876770	−	0.480911i	$-0.840306\pi$
$431$	−2.83588e11	+	2.83588e11i	−0.395859	+	0.395859i	0.480911	+	0.876770i	$0.340306\pi$
$432$	−1.29507e11	−	2.77236e11i	−0.178902	−	0.382977i
$433$	−5.38365e10	−	5.38365e10i	−0.0736006	−	0.0736006i	0.669348	−	0.742949i	$-0.266573\pi$
$433$	−5.38365e10	−	5.38365e10i	−0.0736006	−	0.0736006i	−0.742949	+	0.669348i	$0.766573\pi$
$434$	−1.03816e12	−	2.47857e11i	−1.40463	−	0.335349i
$435$	1.22762e12	−	2.44188e11i	1.64384	−	0.326981i
$436$	2.86853e11	+	5.09198e11i	0.380164	+	0.674835i
$437$	2.97691e10	+	4.45526e10i	0.0390481	+	0.0584396i
$438$	1.11612e10	−	2.93503e11i	0.0144903	−	0.381048i
$439$	−1.45443e11	−	3.51130e11i	−0.186897	−	0.451209i	0.802462	−	0.596703i	$-0.203523\pi$
$439$	−1.45443e11	−	3.51130e11i	−0.186897	−	0.451209i	−0.989359	+	0.145494i	$0.953523\pi$
$440$	−1.74389e10	−	1.47805e10i	−0.0221810	−	0.0187997i
$441$	4.87325e11	−	1.17651e12i	0.613543	−	1.48122i
$442$	8.45422e11	−	1.83996e12i	1.05359	−	2.29302i
$443$	−1.58095e11	−	3.14471e10i	−0.195030	−	0.0387940i	0.0966084	−	0.995322i	$-0.469201\pi$
$443$	−1.58095e11	−	3.14471e10i	−0.195030	−	0.0387940i	−0.291639	+	0.956529i	$0.594201\pi$
$444$	3.70407e11	−	7.31518e11i	0.452330	−	0.893309i
$445$	7.25338e11	+	4.84656e11i	0.876840	+	0.585886i
$446$	−1.92552e11	−	1.20589e12i	−0.230431	−	1.44311i
$447$	7.52174e11			0.891116
$448$	8.29290e11	+	1.33058e12i	0.972647	+	1.56059i
$449$	1.36780e12			1.58824			0.794118	−	0.607763i	$-0.207933\pi$
$449$	1.36780e12			1.58824			0.794118	+	0.607763i	$0.207933\pi$
$450$	−8.52489e10	−	5.33883e11i	−0.0980015	−	0.613748i
$451$	1.53672e10	+	1.02681e10i	0.0174905	+	0.0116868i
$452$	−1.45077e12	−	7.34601e11i	−1.63484	−	0.827806i
$453$	−1.09711e12	−	2.18229e11i	−1.22408	−	0.243484i
$454$	−1.18824e11	+	2.58605e11i	−0.131266	+	0.285684i
$455$	−1.22712e12	+	2.96254e12i	−1.34226	+	3.24051i
$456$	−1.03753e11	−	1.25749e12i	−0.112373	−	1.36195i
$457$	−2.95346e11	−	7.13027e11i	−0.316743	−	0.764686i	−0.999423	−	0.0339683i	$-0.989185\pi$
$457$	−2.95346e11	−	7.13027e11i	−0.316743	−	0.764686i	0.682680	−	0.730718i	$-0.260815\pi$
$458$	3.93826e10	−	1.03564e12i	0.0418225	−	1.09980i
$459$	−4.09736e11	−	6.13213e11i	−0.430870	−	0.644843i
$460$	−7.71923e10	+	4.34858e10i	−0.0803829	+	0.0452832i
$461$	−1.30810e12	+	2.60196e11i	−1.34892	+	0.268316i	−0.816098	−	0.577913i	$-0.803867\pi$
$461$	−1.30810e12	+	2.60196e11i	−1.34892	+	0.268316i	−0.532819	+	0.846229i	$0.678867\pi$
$462$	−4.75014e10	−	1.13408e10i	−0.0485085	−	0.0115812i
$463$	−1.31554e12	−	1.31554e12i	−1.33042	−	1.33042i	−0.904990	−	0.425433i	$-0.860122\pi$
$463$	−1.31554e12	−	1.31554e12i	−1.33042	−	1.33042i	−0.425433	−	0.904990i	$-0.639878\pi$
$464$	4.13253e10	+	9.31968e11i	0.0413890	+	0.933405i
$465$	−1.00429e12	+	1.00429e12i	−0.996136	+	0.996136i
$466$	−8.41700e11	+	5.17255e11i	−0.826838	+	0.508122i
$467$	−4.96291e10	−	2.49502e11i	−0.0482848	−	0.242744i	0.949104	−	0.314963i	$-0.101992\pi$
$467$	−4.96291e10	−	2.49502e11i	−0.0482848	−	0.242744i	−0.997389	+	0.0722187i	$0.976992\pi$
$468$	−7.56131e11	−	5.93000e11i	−0.728603	−	0.571411i
$469$	1.89583e12	−	1.26676e12i	1.80935	−	1.20897i
$470$	1.71387e12	−	1.58830e12i	1.62008	−	1.50138i
$471$	3.55874e11	−	1.47408e11i	0.333198	−	0.138015i
$472$	−2.00800e12	+	5.74523e11i	−1.86220	+	0.532805i
$473$	−3.87015e8	−	1.60307e8i	−0.000355511	−	0.000147258i
$474$	1.94177e10	+	5.24304e10i	0.0176683	+	0.0477068i
$475$	−2.11114e11	+	1.06134e12i	−0.190281	+	0.956610i
$476$	2.46140e12	+	2.86726e12i	2.19761	+	2.55997i
$477$	8.74912e10	−	1.30940e11i	0.0773806	−	0.115808i
$478$	−3.47509e11	+	4.79576e11i	−0.304467	+	0.420176i
$479$		−	6.25595e11i		−	0.542979i	−0.962441	−	0.271490i	$-0.912484\pi$
$479$		−	6.25595e11i		−	0.542979i	0.962441	−	0.271490i	$-0.0875163\pi$
$480$	2.08625e12	−	1.31513e10i	1.79383	−	0.0113079i
$481$			1.24989e12i			1.06468i
$482$	1.08147e12	+	7.83655e11i	0.912649	+	0.661322i
$483$	−1.05156e11	+	1.57377e11i	−0.0879167	+	0.131577i
$484$	9.16459e10	−	1.20325e12i	0.0759118	−	0.996674i
$485$	1.01205e11	−	5.08792e11i	0.0830547	−	0.417544i
$486$	−1.33255e12	+	4.93513e11i	−1.08348	+	0.401269i
$487$	−6.14167e11	−	2.54396e11i	−0.494773	−	0.204942i	0.121323	−	0.992613i	$-0.461286\pi$
$487$	−6.14167e11	−	2.54396e11i	−0.494773	−	0.204942i	−0.616095	+	0.787671i	$0.711286\pi$
$488$	3.79245e11	+	4.34327e10i	0.302713	+	0.0346679i
$489$	3.24565e11	−	1.34439e11i	0.256692	−	0.106325i
$490$	−2.86471e12	−	3.09119e12i	−2.24490	−	2.42239i
$491$	−3.51425e11	+	2.34815e11i	−0.272876	+	0.182330i	−0.684478	−	0.729034i	$-0.739970\pi$
$491$	−3.51425e11	+	2.34815e11i	−0.272876	+	0.182330i	0.411601	+	0.911364i	$0.364970\pi$
$492$	−1.67455e12	+	2.02479e11i	−1.28841	+	0.155789i
$493$	4.38648e11	+	2.20523e12i	0.334430	+	1.68129i
$494$	1.00702e12	+	1.63866e12i	0.760791	+	1.23799i
$495$	−1.84885e10	+	1.84885e10i	−0.0138414	+	0.0138414i
$496$	−6.26511e11	−	8.53236e11i	−0.464795	−	0.632997i
$497$	6.29084e11	+	6.29084e11i	0.462493	+	0.462493i
$498$	−2.21308e11	+	9.26963e11i	−0.161237	+	0.675352i
$499$	1.30043e12	−	2.58672e11i	0.938935	−	0.186766i	0.298178	−	0.954510i	$-0.403621\pi$
$499$	1.30043e12	−	2.58672e11i	0.938935	−	0.186766i	0.640756	+	0.767744i	$0.278621\pi$
$500$	1.43336e11	+	4.00350e10i	0.102563	+	0.0286467i
$501$	−3.40807e11	−	5.10054e11i	−0.241679	−	0.361698i
$502$	5.70904e10	+	2.17101e9i	0.0401233	+	0.00152579i
$503$	−9.67669e11	−	2.33616e12i	−0.674017	−	1.62722i	−0.774720	−	0.632305i	$-0.782109\pi$
$503$	−9.67669e11	−	2.33616e12i	−0.674017	−	1.62722i	0.100702	−	0.994917i	$-0.467891\pi$
$504$	1.59473e12	−	8.20168e11i	1.10091	−	0.566194i
$505$	3.17519e11	−	7.66559e11i	0.217250	−	0.524487i
$506$	1.86900e9	+	8.58766e8i	0.00126745	+	0.000582368i
$507$	1.68313e12	+	3.34796e11i	1.13131	+	0.225032i
$508$	−7.68200e11	+	2.51747e11i	−0.511785	+	0.167717i
$509$	1.12333e12	+	7.50585e11i	0.741783	+	0.495644i	0.868127	−	0.496343i	$-0.165324\pi$
$509$	1.12333e12	+	7.50585e11i	0.741783	+	0.495644i	−0.126343	+	0.991987i	$0.540324\pi$
$510$	4.96548e12	−	7.92873e11i	3.25009	−	0.518965i
$511$	−8.35536e11			−0.542090
$512$	−2.25805e11	+	1.53846e12i	−0.145218	+	0.989400i
$513$	7.00522e11			0.446574
$514$	6.77326e11	−	1.08153e11i	0.428020	−	0.0683449i
$515$	1.45737e12	+	9.73783e11i	0.912929	+	0.610000i
$516$	3.63297e10	−	1.19056e10i	0.0225600	−	0.00739312i
$517$	−5.32047e10	−	1.05831e10i	−0.0327523	−	0.00651484i
$518$	−2.11950e12	−	9.73864e11i	−1.29345	−	0.594312i
$519$	2.27879e11	−	5.50148e11i	0.137864	−	0.332833i
$520$	−2.82812e12	+	1.45450e12i	−1.69622	+	0.872366i
$521$	−2.58847e10	−	6.24911e10i	−0.0153912	−	0.0371577i	0.915997	−	0.401185i	$-0.131402\pi$
$521$	−2.58847e10	−	6.24911e10i	−0.0153912	−	0.0371577i	−0.931388	+	0.364027i	$0.881402\pi$
$522$	1.06624e12	+	4.05465e10i	0.628548	+	0.0239021i
$523$	1.13316e12	+	1.69589e12i	0.662266	+	0.991151i	0.998776	+	0.0494713i	$0.0157536\pi$
$523$	1.13316e12	+	1.69589e12i	0.662266	+	0.991151i	−0.336509	+	0.941680i	$0.609246\pi$
$524$	1.34415e12	+	3.75434e11i	0.778857	+	0.217542i
$525$	−3.74907e12	+	7.45736e11i	−2.15381	+	0.428419i
$526$	−4.98948e11	+	2.08987e12i	−0.284197	+	1.19037i
$527$	−1.80405e12	−	1.80405e12i	−1.01883	−	1.01883i
$528$	−2.86662e10	−	3.90401e10i	−0.0160516	−	0.0218604i
$529$	−1.26797e12	+	1.26797e12i	−0.703977	+	0.703977i
$530$	−2.72879e11	−	4.44040e11i	−0.150220	−	0.244445i
$531$	4.66045e11	+	2.34297e12i	0.254391	+	1.27891i
$532$	−3.56339e12	+	4.30869e11i	−1.92869	+	0.233208i
$533$	2.13786e12	−	1.42847e12i	1.14738	−	0.766653i
$534$	1.25634e12	+	1.35567e12i	0.668607	+	0.721468i
$535$	2.19275e12	−	9.08268e11i	1.15717	−	0.479316i
$536$	2.24664e12	+	2.57295e11i	1.17569	+	0.134645i
$537$	−2.61181e12	−	1.08185e12i	−1.35537	−	0.561412i
$538$	−1.90180e12	+	7.04337e11i	−0.978690	+	0.362460i
$539$	−1.90880e10	+	9.59617e10i	−0.00974115	+	0.0489721i
$540$	−8.79672e10	+	1.15495e12i	−0.0445193	+	0.584511i
$541$	1.08286e12	−	1.62061e12i	0.543480	−	0.813376i	−0.453482	−	0.891266i	$-0.649818\pi$
$541$	1.08286e12	−	1.62061e12i	0.543480	−	0.813376i	0.996962	+	0.0778897i	$0.0248182\pi$
$542$	−1.59241e12	−	1.15389e12i	−0.792608	−	0.574338i
$543$		−	5.74732e11i		−	0.283704i
$544$	2.36244e10	+	3.74765e12i	0.0115655	+	1.83470i
$545$		−	2.21231e12i		−	1.07414i
$546$	−3.98649e12	+	5.50151e12i	−1.91966	+	2.64920i
$547$	2.30939e11	−	3.45625e11i	0.110295	−	0.165068i	−0.772216	−	0.635360i	$-0.780852\pi$
$547$	2.30939e11	−	3.45625e11i	0.110295	−	0.165068i	0.882511	+	0.470292i	$0.155852\pi$
$548$	2.26454e12	+	2.63793e12i	1.07267	+	1.24954i
$549$	8.51778e10	−	4.28218e11i	0.0400176	−	0.201182i
$550$	1.44266e10	+	3.89536e10i	0.00672250	+	0.0181516i
$551$	−1.97312e12	−	8.17293e11i	−0.911950	−	0.377742i
$552$	−1.80475e11	+	5.16370e10i	−0.0827355	+	0.0236720i
$553$	1.46943e11	−	6.08657e10i	0.0668167	−	0.0276764i
$554$	−1.53583e12	+	1.42331e12i	−0.692708	+	0.641954i
$555$	−2.58073e12	+	1.72439e12i	−1.15458	+	0.771467i
$556$	−1.70337e12	−	1.33587e12i	−0.755912	−	0.592828i
$557$	−5.54900e11	−	2.78967e12i	−0.244268	−	1.22802i	−0.886943	−	0.461878i	$-0.847176\pi$
$557$	−5.54900e11	−	2.78967e12i	−0.244268	−	1.22802i	0.642676	−	0.766138i	$-0.277824\pi$
$558$	−1.03153e12	+	6.33914e11i	−0.450432	+	0.276807i
$559$	−4.12079e10	+	4.12079e10i	−0.0178496	+	0.0178496i
$560$	−2.62907e11	−	5.92909e12i	−0.112968	−	2.54766i
$561$	−8.25451e10	−	8.25451e10i	−0.0351851	−	0.0351851i
$562$	2.36982e12	+	5.65785e11i	1.00208	+	0.239242i
$563$	−3.41264e12	+	6.78817e11i	−1.43154	+	0.284751i	−0.849146	−	0.528158i	$-0.822883\pi$
$563$	−3.41264e12	+	6.78817e11i	−1.43154	+	0.284751i	−0.582392	+	0.812908i	$0.697883\pi$
$564$	4.31345e12	−	2.42995e12i	1.79502	−	1.01121i
$565$	3.41986e12	+	5.11818e12i	1.41186	+	2.11299i
$566$	8.72342e10	−	2.29398e12i	0.0357283	−	0.939540i
$567$	2.11289e12	+	5.10096e12i	0.858524	+	2.07266i
$568$	7.25535e10	+	8.79346e11i	0.0292477	+	0.354480i
$569$	3.74871e11	−	9.05020e11i	0.149926	−	0.361953i	−0.831018	−	0.556246i	$-0.812241\pi$
$569$	3.74871e11	−	9.05020e11i	0.149926	−	0.361953i	0.980944	+	0.194293i	$0.0622412\pi$
$570$	−1.99415e12	+	4.34002e12i	−0.791262	+	1.72209i
$571$	3.02026e12	+	6.00766e11i	1.18900	+	0.236507i	0.749665	−	0.661817i	$-0.230215\pi$
$571$	3.02026e12	+	6.00766e11i	1.18900	+	0.236507i	0.439334	+	0.898324i	$0.355215\pi$
$572$	6.58678e10	+	3.33524e10i	0.0257271	+	0.0130270i
$573$	−1.81877e12	−	1.21527e12i	−0.704827	−	0.470950i
$574$	7.56596e11	+	4.73829e12i	0.290911	+	1.82187i
$575$	1.60994e11			0.0614191
$576$	1.73246e12	+	4.02092e11i	0.655787	+	0.152203i
$577$	−1.34578e11			−0.0505457			−0.0252729	−	0.999681i	$-0.508045\pi$
$577$	−1.34578e11			−0.0505457			−0.0252729	+	0.999681i	$0.508045\pi$
$578$	1.00117e12	+	6.27000e12i	0.373108	+	2.33664i
$579$	−5.25313e12	−	3.51003e12i	−1.94252	−	1.29795i
$580$	1.59524e12	−	3.15046e12i	0.585331	−	1.15597i
$581$	2.65896e12	+	5.28901e11i	0.968100	+	0.192567i
$582$	4.58898e11	−	9.98737e11i	0.165792	−	0.360826i
$583$	−4.63031e9	+	1.11786e10i	−0.00165997	+	0.00400753i
$584$	−6.32146e11	−	5.35782e11i	−0.224885	−	0.190603i
$585$	1.39200e12	+	3.36059e12i	0.491403	+	1.18635i
$586$	−5.15970e10	+	1.35683e12i	−0.0180753	+	0.475322i
$587$	−1.29129e12	−	1.93255e12i	−0.448903	−	0.671830i	0.536142	−	0.844128i	$-0.319881\pi$
$587$	−1.29129e12	−	1.93255e12i	−0.448903	−	0.671830i	−0.985045	+	0.172297i	$0.944881\pi$
$588$	−4.38275e12	−	7.77988e12i	−1.51199	−	2.68395i
$589$	2.37682e12	−	4.72778e11i	0.813723	−	0.161860i
$590$	7.68992e12	+	1.83594e12i	2.61269	+	0.623768i
$591$	−3.69631e12	−	3.69631e12i	−1.24630	−	1.24630i
$592$	−9.79077e11	−	2.09592e12i	−0.327619	−	0.701336i
$593$	−2.53513e12	+	2.53513e12i	−0.841886	+	0.841886i	−0.989104	−	0.147218i	$-0.952968\pi$
$593$	−2.53513e12	+	2.53513e12i	−0.841886	+	0.841886i	0.147218	+	0.989104i	$0.452968\pi$
$594$	2.29102e10	−	1.40791e10i	0.00755073	−	0.00464020i
$595$	−2.79063e12	−	1.40295e13i	−0.912802	−	4.58897i
$596$	1.30957e12	−	1.66983e12i	0.425130	−	0.542081i
$597$	3.15519e12	−	2.10823e12i	1.01658	−	0.679256i
$598$	2.09878e11	−	1.94500e11i	0.0671137	−	0.0621964i
$599$	2.77972e12	−	1.15140e12i	0.882228	−	0.365431i	0.104867	−	0.994486i	$-0.466558\pi$
$599$	2.77972e12	−	1.15140e12i	0.882228	−	0.365431i	0.777360	+	0.629056i	$0.216558\pi$
$600$	−3.31465e12	−	1.83986e12i	−1.04414	−	0.579568i
$601$	−1.24412e12	−	5.15332e11i	−0.388980	−	0.161121i	0.179618	−	0.983736i	$-0.442514\pi$
$601$	−1.24412e12	−	5.15332e11i	−0.388980	−	0.161121i	−0.568598	+	0.822616i	$0.692514\pi$
$602$	−3.77708e10	−	1.01986e11i	−0.0117212	−	0.0316488i
$603$	5.04592e11	−	2.53676e12i	0.155422	−	0.781360i
$604$	−2.39460e12	+	2.05565e12i	−0.732094	+	0.628467i
$605$	−2.53782e12	+	3.79812e12i	−0.770126	+	1.15257i
$606$	1.03151e12	−	1.42352e12i	0.310703	−	0.428782i
$607$			2.62072e12i			0.783558i	0.920059	+	0.391779i	$0.128140\pi$
$607$			2.62072e12i			0.783558i	−0.920059	+	0.391779i	$0.871860\pi$
$608$	−2.97227e12	−	1.95902e12i	−0.882109	−	0.581397i
$609$		−	7.54406e12i		−	2.22243i
$610$	−1.17007e12	−	8.47856e11i	−0.342159	−	0.247935i
$611$	−4.19274e12	+	6.27488e12i	−1.21706	+	1.82146i
$612$	4.27419e12	+	3.25544e11i	1.23161	+	0.0938055i
$613$	1.27140e12	−	6.39177e12i	0.363673	−	1.82831i	−0.173501	−	0.984834i	$-0.555508\pi$
$613$	1.27140e12	−	6.39177e12i	0.363673	−	1.82831i	0.537174	−	0.843472i	$-0.319492\pi$
$614$	4.60243e12	−	1.70452e12i	1.30686	−	0.483999i
$615$	5.89894e12	+	2.44342e12i	1.66278	+	0.688748i
$616$	−1.07879e11	+	8.57086e10i	−0.0301873	+	0.0239834i
$617$	4.45846e12	−	1.84676e12i	1.23852	−	0.513010i	0.335266	−	0.942123i	$-0.391174\pi$
$617$	4.45846e12	−	1.84676e12i	1.23852	−	0.513010i	0.903251	+	0.429113i	$0.141174\pi$
$618$	2.52427e12	+	2.72384e12i	0.696125	+	0.751161i
$619$	−4.12989e12	+	2.75950e12i	−1.13066	+	0.755480i	−0.972723	−	0.231970i	$-0.925483\pi$
$619$	−4.12989e12	+	2.75950e12i	−1.13066	+	0.755480i	−0.157933	+	0.987450i	$0.550483\pi$
$620$	4.81005e11	+	3.97803e12i	0.130734	+	1.08120i
$621$	−2.03322e10	−	1.02217e11i	−0.00548621	−	0.0275810i
$622$	2.19297e12	+	3.56850e12i	0.587457	+	0.955936i
$623$	3.71789e12	−	3.71789e12i	0.988781	−	0.988781i
$624$	−6.54389e12	+	1.60599e12i	−1.72785	+	0.424046i
$625$	−2.88862e12	−	2.88862e12i	−0.757234	−	0.757234i
$626$	6.12381e11	−	2.56499e12i	0.159381	−	0.667577i
$627$	1.08752e11	−	2.16321e10i	0.0281018	−	0.00558979i
$628$	2.92349e11	−	1.04669e12i	0.0750038	−	0.268533i
$629$	−3.09762e12	−	4.63591e12i	−0.789042	−	1.18088i
$630$	−6.78332e12	−	2.57953e11i	−1.71558	−	0.0652390i
$631$	−5.39341e11	−	1.30208e12i	−0.135435	−	0.326969i	0.841582	−	0.540129i	$-0.181625\pi$
$631$	−5.39341e11	−	1.30208e12i	−0.135435	−	0.326969i	−0.977017	+	0.213160i	$0.931625\pi$
$632$	1.50203e11	+	4.81766e10i	0.0374500	+	0.0120118i
$633$	−2.88400e12	+	6.96258e12i	−0.713967	+	1.72367i
$634$	3.19232e12	+	1.46680e12i	0.784702	+	0.360554i
$635$	3.00129e12	+	5.96994e11i	0.732532	+	0.145710i
$636$	−3.43882e11	−	1.04935e12i	−0.0833397	−	0.254310i
$637$	1.13176e13	+	7.56216e12i	2.72349	+	1.81978i
$638$	−8.09556e10	+	1.29268e10i	−0.0193443	+	0.00308885i
$639$	1.00919e12			0.239453
$640$	3.60308e12	−	4.65439e12i	0.848915	−	1.09661i
$641$	6.38463e12			1.49374			0.746869	−	0.664971i	$-0.231556\pi$
$641$	6.38463e12			1.49374			0.746869	+	0.664971i	$0.231556\pi$
$642$	4.96576e12	−	7.92918e11i	1.15366	−	0.184213i
$643$	2.98266e12	+	1.99295e12i	0.688105	+	0.459777i	0.849829	−	0.527059i	$-0.176705\pi$
$643$	2.98266e12	+	1.99295e12i	0.688105	+	0.459777i	−0.161724	+	0.986836i	$0.551705\pi$
$644$	1.66296e11	+	5.07448e11i	0.0380973	+	0.116253i
$645$	−1.41937e11	−	2.82330e10i	−0.0322907	−	0.00642302i
$646$	−7.79622e12	−	3.58220e12i	−1.76132	−	0.809288i
$647$	2.89507e12	−	6.98931e12i	0.649515	−	1.56807i	−0.163959	−	0.986467i	$-0.552427\pi$
$647$	2.89507e12	−	6.98931e12i	0.649515	−	1.56807i	0.813474	−	0.581601i	$-0.197573\pi$
$648$	−1.67240e12	+	5.21414e12i	−0.372608	+	1.16170i
$649$	−7.02387e10	−	1.69571e11i	−0.0155409	−	0.0375190i
$650$	5.77467e12	+	2.19596e11i	1.26887	+	0.0482520i
$651$	4.75585e12	+	7.11763e12i	1.03780	+	1.55318i
$652$	2.66629e11	−	9.54603e11i	0.0577821	−	0.206875i
$653$	−2.83340e12	+	5.63598e11i	−0.609816	+	0.121300i	−0.490331	−	0.871536i	$-0.663124\pi$
$653$	−2.83340e12	+	5.63598e11i	−0.609816	+	0.121300i	−0.119484	+	0.992836i	$0.538124\pi$
$654$	1.08849e12	−	4.55919e12i	0.232661	−	0.974513i
$655$	−3.73555e12	−	3.73555e12i	−0.792992	−	0.792992i
$656$	−2.46598e12	+	4.07004e12i	−0.519902	+	0.858086i
$657$	−6.70195e11	+	6.70195e11i	−0.140332	+	0.140332i
$658$	−7.37382e12	−	1.19990e13i	−1.53347	−	2.49533i
$659$	4.89772e11	+	2.46225e12i	0.101160	+	0.508567i	0.997829	+	0.0658639i	$0.0209803\pi$
$659$	4.89772e11	+	2.46225e12i	0.101160	+	0.508567i	−0.896668	+	0.442703i	$0.854020\pi$
$660$	2.20086e10	+	1.82016e11i	0.00451486	+	0.0373390i
$661$	1.07999e11	−	7.21626e10i	0.0220046	−	0.0147030i	−0.544519	−	0.838748i	$-0.683288\pi$
$661$	1.07999e11	−	7.21626e10i	0.0220046	−	0.0147030i	0.566524	+	0.824045i	$0.308288\pi$
$662$	−3.42467e12	−	3.69543e12i	−0.693039	−	0.747832i
$663$	−1.50039e13	+	6.21482e12i	−3.01574	+	1.24916i
$664$	1.67255e12	+	2.10520e12i	0.333906	+	0.420278i
$665$	1.25528e13	+	5.19953e12i	2.48910	+	1.03102i
$666$	−2.48123e12	+	9.18929e11i	−0.488689	+	0.180987i
$667$	−6.19870e10	+	3.11630e11i	−0.0121265	+	0.0609639i
$668$	−1.72569e12	−	1.31437e11i	−0.335326	−	0.0255402i
$669$	−5.44125e12	+	8.14341e12i	−1.05022	+	1.57177i
$670$	−6.93149e12	−	5.02269e12i	−1.32889	−	0.962940i
$671$			3.35456e10i			0.00638829i
$672$	2.37538e12	−	1.23482e13i	0.449336	−	2.33582i
$673$		−	1.63599e12i		−	0.307406i	−0.988117	−	0.153703i	$-0.950880\pi$
$673$		−	1.63599e12i		−	0.307406i	0.988117	−	0.153703i	$-0.0491200\pi$
$674$	2.66507e12	−	3.67790e12i	0.497438	−	0.686483i
$675$	1.16935e12	−	1.75005e12i	0.216808	−	0.324476i
$676$	3.67367e12	−	3.15367e12i	0.676613	−	0.580839i
$677$	−1.03346e12	+	5.19556e12i	−0.189080	+	0.950568i	0.763391	+	0.645937i	$0.223533\pi$
$677$	−1.03346e12	+	5.19556e12i	−0.189080	+	0.950568i	−0.952471	+	0.304631i	$0.901467\pi$
$678$	4.52952e12	+	1.22303e13i	0.823224	+	2.22281i
$679$	−2.88868e12	−	1.19653e12i	−0.521537	−	0.216028i
$680$	6.88498e12	−	1.24038e13i	1.23485	−	2.22467i
$681$	2.10879e12	−	8.73490e11i	0.375726	−	0.155631i
$682$	6.82304e10	−	6.32313e10i	0.0120767	−	0.0111919i
$683$	−5.68307e12	+	3.79730e12i	−0.999286	+	0.667701i	−0.943717	−	0.330753i	$-0.892697\pi$
$683$	−5.68307e12	+	3.79730e12i	−0.999286	+	0.667701i	−0.0555686	+	0.998455i	$0.517697\pi$
$684$	−2.51264e12	+	3.20385e12i	−0.438913	+	0.559655i
$685$	−2.56744e12	−	1.29074e13i	−0.445546	−	2.23991i
$686$	−1.25543e13	+	7.71508e12i	−2.16438	+	1.33009i
$687$	−5.87750e12	+	5.87750e12i	−1.00667	+	1.00667i
$688$	3.68215e10	−	1.01381e11i	0.00626546	−	0.0172507i
$689$	1.19025e12	+	1.19025e12i	0.201211	+	0.201211i
$690$	6.91155e11	+	1.65010e11i	0.116079	+	0.0277134i
$691$	−4.28673e12	+	8.52683e11i	−0.715277	+	0.142278i	−0.539296	−	0.842116i	$-0.681310\pi$
$691$	−4.28673e12	+	8.52683e11i	−0.715277	+	0.142278i	−0.175981	+	0.984394i	$0.556310\pi$
$692$	−8.24582e11	−	1.46373e12i	−0.136696	−	0.242652i
$693$	8.75534e10	+	1.31033e11i	0.0144203	+	0.0215815i
$694$	−2.55306e11	+	6.71372e12i	−0.0417776	+	1.09862i
$695$	3.13581e12	+	7.57052e12i	0.509822	+	1.23082i
$696$	4.83758e12	−	5.70765e12i	0.781424	−	0.921969i
$697$	−4.38925e12	+	1.05966e13i	−0.704438	+	1.70066i
$698$	2.15737e12	−	4.69525e12i	0.344013	−	0.748702i
$699$	7.77120e12	+	1.54579e12i	1.23124	+	0.244908i
$700$	−4.87179e12	+	9.62132e12i	−0.766915	+	1.51458i
$701$	−1.35046e11	−	9.02346e10i	−0.0211227	−	0.0141137i	0.544964	−	0.838459i	$-0.316543\pi$
$701$	−1.35046e11	−	9.02346e10i	−0.0211227	−	0.0141137i	−0.566087	+	0.824346i	$0.691543\pi$
$702$	−5.89870e11	−	3.69415e12i	−0.0916726	−	0.574113i
$703$	5.29598e12			0.817800
$704$	−1.36579e11	−	4.33174e9i	−0.0209559	−	0.000664639i
$705$	−1.87407e13			−2.85716
$706$	9.67897e11	+	6.06159e12i	0.146625	+	0.918260i
$707$	−4.15809e12	−	2.77835e12i	−0.625902	−	0.418214i
$708$	1.49443e13	+	7.56708e12i	2.23524	+	1.13182i
$709$	1.44471e12	+	2.87370e11i	0.214719	+	0.0427103i	0.301278	−	0.953536i	$-0.402587\pi$
$709$	1.44471e12	+	2.87370e11i	0.214719	+	0.0427103i	−0.0865583	+	0.996247i	$0.527587\pi$
$710$	1.39448e12	−	3.03493e12i	0.205945	−	0.448214i
$711$	6.90436e10	−	1.66686e11i	0.0101324	−	0.0244617i
$712$	5.19693e12	−	4.28791e11i	0.757857	−	0.0625297i
$713$	−1.37971e11	−	3.33092e11i	−0.0199933	−	0.0482682i
$714$	1.15167e12	−	3.02853e13i	0.165839	−	4.36104i
$715$	−1.55269e11	−	2.32376e11i	−0.0222181	−	0.0332517i
$716$	−6.94900e12	+	3.91468e12i	−0.988129	+	0.556657i
$717$	4.65868e12	−	9.26670e11i	0.658305	−	0.130945i
$718$	2.87170e12	+	6.85606e11i	0.403254	+	0.0962752i
$719$	3.64226e12	+	3.64226e12i	0.508266	+	0.508266i	0.913994	−	0.405728i	$-0.132982\pi$
$719$	3.64226e12	+	3.64226e12i	0.508266	+	0.508266i	−0.405728	+	0.913994i	$0.632982\pi$
$720$	−4.96668e12	−	4.54492e12i	−0.688764	−	0.630275i
$721$	7.47008e12	−	7.47008e12i	1.02948	−	1.02948i
$722$	7.22471e11	−	4.43985e11i	0.0989471	−	0.0608066i
$723$	−2.08970e12	−	1.05056e13i	−0.284420	−	1.42988i
$724$	−1.27591e12	−	1.00064e12i	−0.172582	−	0.135349i
$725$	−5.33539e12	+	3.56499e12i	−0.717208	+	0.479223i
$726$	−7.09872e12	+	6.57861e12i	−0.948343	+	0.878859i
$727$	7.36293e12	−	3.04983e12i	0.977566	−	0.404921i	0.164043	−	0.986453i	$-0.447547\pi$
$727$	7.36293e12	−	3.04983e12i	0.977566	−	0.404921i	0.813523	+	0.581532i	$0.197547\pi$
$728$	5.27269e12	+	1.84285e13i	0.695730	+	2.43163i
$729$	1.93420e12	+	8.01173e11i	0.253646	+	0.105064i
$730$	1.08940e12	+	2.94152e12i	0.141982	+	0.383371i
$731$	5.07166e10	−	2.54969e11i	0.00656934	−	0.0330263i
$732$	−1.99416e12	−	2.32297e12i	−0.256720	−	0.299050i
$733$	−1.19745e12	+	1.79211e12i	−0.153211	+	0.229296i	−0.900133	−	0.435615i	$-0.856531\pi$
$733$	−1.19745e12	+	1.79211e12i	−0.153211	+	0.229296i	0.746922	+	0.664912i	$0.231531\pi$
$734$	1.58368e12	−	2.18554e12i	0.201389	−	0.277924i
$735$			3.38013e13i			4.27209i
$736$	−1.99583e11	+	4.90559e11i	−0.0250711	+	0.0616227i
$737$			1.98724e11i			0.0248111i
$738$	4.40752e12	+	3.19377e12i	0.546942	+	0.396324i
$739$	1.02477e12	−	1.53367e12i	0.126394	−	0.189161i	−0.762876	−	0.646545i	$-0.776213\pi$
$739$	1.02477e12	−	1.53367e12i	0.126394	−	0.189161i	0.889270	+	0.457384i	$0.151213\pi$
$740$	−6.65036e11	+	8.73150e12i	−0.0815271	+	1.07040i
$741$	3.00941e12	−	1.51294e13i	0.366691	−	1.84348i
$742$	−2.94577e12	+	1.09097e12i	−0.356764	+	0.132128i
$743$	3.27234e12	+	1.35545e12i	0.393921	+	0.163168i	0.570847	−	0.821057i	$-0.306615\pi$
$743$	3.27234e12	+	1.35545e12i	0.393921	+	0.163168i	−0.176925	+	0.984224i	$0.556615\pi$
$744$	−9.65976e11	+	8.43468e12i	−0.115581	+	1.00923i
$745$	−7.42148e12	+	3.07408e12i	−0.882647	+	0.365604i
$746$	7.83944e12	+	8.45924e12i	0.926746	+	1.00002i
$747$	2.55703e12	−	1.70855e12i	0.300465	−	0.200764i
$748$	−3.26966e11	+	3.95352e10i	−0.0381896	+	0.00461771i
$749$	−2.79079e12	−	1.40303e13i	−0.324010	−	1.62891i
$750$	−6.24930e11	−	1.01691e12i	−0.0721200	−	0.117357i
$751$	−1.07528e13	+	1.07528e13i	−1.23350	+	1.23350i	−0.270896	+	0.962609i	$0.587320\pi$
$751$	−1.07528e13	+	1.07528e13i	−1.23350	+	1.23350i	−0.962609	+	0.270896i	$0.912680\pi$
$752$	2.11543e12	−	1.38066e13i	0.241223	−	1.57436i
$753$	−3.24003e11	−	3.24003e11i	−0.0367258	−	0.0367258i
$754$	−2.64847e12	+	1.10933e13i	−0.298418	+	1.24994i
$755$	1.17168e13	−	2.33061e12i	1.31234	−	0.261041i
$756$	6.72397e12	+	1.87806e12i	0.748647	+	0.209104i
$757$	9.65177e12	+	1.44449e13i	1.06826	+	1.59876i	0.762895	+	0.646523i	$0.223777\pi$
$757$	9.65177e12	+	1.44449e13i	1.06826	+	1.59876i	0.305362	+	0.952236i	$0.401223\pi$
$758$	−1.03144e13	−	3.92232e11i	−1.13484	−	0.0431551i
$759$	−6.31292e9	−	1.52407e10i	−0.000690466	−	0.00166693i
$760$	6.16296e12	+	1.19832e13i	0.670082	+	1.30290i
$761$	−5.26191e11	+	1.27034e12i	−0.0568738	+	0.137305i	−0.949762	−	0.312973i	$-0.898675\pi$
$761$	−5.26191e11	+	1.27034e12i	−0.0568738	+	0.137305i	0.892888	+	0.450278i	$0.148675\pi$
$762$	5.89140e12	+	2.70697e12i	0.633026	+	0.290862i
$763$	−1.30779e13	−	2.60136e12i	−1.39694	−	0.277868i
$764$	−5.86448e12	+	1.92185e12i	−0.622743	+	0.204079i
$765$	−1.34916e13	−	9.01482e12i	−1.42426	−	0.951658i
$766$	−4.41564e12	+	7.05077e11i	−0.463409	+	0.0739958i
$767$	−2.55341e13			−2.66404
$768$	9.71533e12	−	7.81911e12i	1.00770	−	0.811021i
$769$	1.73963e13			1.79386			0.896928	−	0.442176i	$-0.145793\pi$
$769$	1.73963e13			1.79386			0.896928	+	0.442176i	$0.145793\pi$
$770$	5.15031e11	−	8.22387e10i	0.0527990	−	0.00843078i
$771$	−4.57402e12	−	3.05626e12i	−0.466180	−	0.311491i
$772$	−1.69383e13	+	5.55083e12i	−1.71629	+	0.562445i
$773$	3.23476e10	+	6.43435e9i	0.00325863	+	0.000648182i	0.196719	−	0.980460i	$-0.436971\pi$
$773$	3.23476e10	+	6.43435e9i	0.00325863	+	0.000648182i	−0.193461	+	0.981108i	$0.561971\pi$
$774$	−1.12101e11	−	5.15080e10i	−0.0112273	−	0.00515870i
$775$	2.78640e12	−	6.72696e12i	0.277450	−	0.669825i
$776$	−1.41824e12	−	2.75761e12i	−0.140401	−	0.272995i
$777$	7.15902e12	+	1.72834e13i	0.704626	+	1.70112i
$778$	−6.56168e12	−	2.49524e11i	−0.642106	−	0.0244177i
$779$	−6.05267e12	−	9.05846e12i	−0.588882	−	0.881325i
$780$	2.45659e13	+	6.86148e12i	2.37633	+	0.663731i
$781$	−7.60490e10	+	1.51271e10i	−0.00731415	+	0.00145488i
$782$	−2.96417e11	+	1.24156e12i	−0.0283448	+	0.118724i
$783$	2.93728e12	+	2.93728e12i	0.279265	+	0.279265i
$784$	−2.49020e13	−	3.81546e12i	−2.35403	−	0.360682i
$785$	−2.90886e12	+	2.90886e12i	−0.273407	+	0.273407i
$786$	−5.86037e12	−	9.53624e12i	−0.547676	−	0.891202i
$787$	−6.73022e11	−	3.38351e12i	−0.0625379	−	0.314399i	0.936836	−	0.349768i	$-0.113739\pi$
$787$	−6.73022e11	−	3.38351e12i	−0.0625379	−	0.314399i	−0.999374	+	0.0353685i	$0.988739\pi$
$788$	−1.46413e13	+	1.77036e12i	−1.35273	+	0.163566i
$789$	1.43281e13	−	9.57376e12i	1.31627	−	0.879500i
$790$	−4.05868e11	−	4.37956e11i	−0.0370734	−	0.0400045i
$791$	3.42769e13	−	1.41980e13i	3.11320	−	1.28953i
$792$	−1.77833e10	+	1.55279e11i	−0.00160601	+	0.0140233i
$793$	4.31156e12	+	1.78590e12i	0.387173	+	0.160372i
$794$	1.05281e13	−	3.89912e12i	0.940068	−	0.348157i
$795$	−8.15483e11	+	4.09971e12i	−0.0724041	+	0.364000i
$796$	8.13068e11	−	1.06751e13i	0.0717824	−	0.942458i
$797$	−1.14141e13	+	1.70824e13i	−1.00203	+	1.49964i	−0.141693	+	0.989911i	$0.545255\pi$
$797$	−1.14141e13	+	1.70824e13i	−1.00203	+	1.49964i	−0.860334	+	0.509730i	$0.829745\pi$
$798$	2.33108e13	+	1.68914e13i	2.03491	+	1.47453i
$799$		−	3.36649e13i		−	2.92224i
$800$	−9.85549e12	+	4.15525e12i	−0.850693	+	0.358668i
$801$		−	5.96434e12i		−	0.511936i
$802$	−5.17951e12	+	7.14792e12i	−0.442083	+	0.610091i
$803$	4.04576e10	−	6.05491e10i	0.00343384	−	0.00513910i
$804$	−1.18134e13	−	1.37612e13i	−0.997060	−	1.16146i
$805$	3.94355e11	−	1.98256e12i	0.0330983	−	0.166396i
$806$	−4.49454e12	−	1.21358e13i	−0.375126	−	1.01289i
$807$	1.50272e13	+	6.22448e12i	1.24723	+	0.516621i
$808$	−1.36431e12	−	4.76838e12i	−0.112606	−	0.393568i
$809$	−6.00480e12	+	2.48727e12i	−0.492868	+	0.204153i	−0.615252	−	0.788330i	$-0.710946\pi$
$809$	−6.00480e12	+	2.48727e12i	−0.492868	+	0.204153i	0.122385	+	0.992483i	$0.460946\pi$
$810$	1.52032e13	−	1.40893e13i	1.24094	−	1.15002i
$811$	−1.12667e13	+	7.52814e12i	−0.914536	+	0.611074i	−0.921278	−	0.388904i	$-0.872854\pi$
$811$	−1.12667e13	+	7.52814e12i	−0.914536	+	0.611074i	0.00674202	+	0.999977i	$0.497854\pi$
$812$	−1.67479e13	−	1.31346e13i	−1.35194	−	1.06027i
$813$	3.07697e12	+	1.54690e13i	0.247011	+	1.24181i
$814$	1.73202e11	−	1.06439e11i	0.0138275	−	0.00849748i
$815$	−2.65295e12	+	2.65295e12i	−0.210630	+	0.210630i
$816$	2.02916e13	−	2.21746e13i	1.60217	−	1.75085i
$817$	1.74605e11	+	1.74605e11i	0.0137106	+	0.0137106i
$818$	1.42413e13	+	3.40006e12i	1.11214	+	0.265520i
$819$	2.15026e13	−	4.27713e12i	1.66999	−	0.332181i
$820$	1.56948e13	−	8.84155e12i	1.21225	−	0.682914i
$821$	−2.00082e12	−	2.99444e12i	−0.153696	−	0.230023i	0.746629	−	0.665241i	$-0.231671\pi$
$821$	−2.00082e12	−	2.99444e12i	−0.153696	−	0.230023i	−0.900325	+	0.435218i	$0.856671\pi$
$822$	1.05956e12	−	2.78631e13i	0.0809475	−	2.12866i
$823$	5.14183e12	+	1.24135e13i	0.390678	+	0.943179i	0.989792	+	0.142516i	$0.0455192\pi$
$823$	5.14183e12	+	1.24135e13i	0.390678	+	0.943179i	−0.599115	+	0.800663i	$0.704481\pi$
$824$	1.04418e13	−	8.61539e11i	0.789049	−	0.0651032i
$825$	1.27493e11	−	3.07794e11i	0.00958169	−	0.0231322i
$826$	1.98952e13	−	4.32995e13i	1.48709	−	3.23648i
$827$	−1.95848e13	−	3.89566e12i	−1.45594	−	0.289605i	−0.597233	−	0.802068i	$-0.703733\pi$
$827$	−1.95848e13	−	3.89566e12i	−1.45594	−	0.289605i	−0.858709	+	0.512463i	$0.828733\pi$
$828$	5.40419e11	+	2.73643e11i	0.0399571	+	0.0202324i
$829$	−8.71655e12	−	5.82421e12i	−0.640987	−	0.428294i	0.192146	−	0.981366i	$-0.438455\pi$
$829$	−8.71655e12	−	5.82421e12i	−0.640987	−	0.428294i	−0.833133	+	0.553072i	$0.813455\pi$
$830$	−1.60484e12	−	1.00505e13i	−0.117376	−	0.735086i
$831$	1.67939e13			1.22165
$832$	−7.82794e12	+	1.73236e13i	−0.566360	+	1.25338i
$833$	−6.07191e13			−4.36941
$834$	2.73756e12	+	1.71444e13i	0.195937	+	1.22708i
$835$	5.44720e12	+	3.63970e12i	0.387779	+	0.259105i
$836$	1.41320e11	−	2.79093e11i	0.0100063	−	0.0197615i
$837$	−4.62293e12	−	9.19558e11i	−0.325576	−	0.0647611i
$838$	−6.41265e12	+	1.39564e13i	−0.449200	+	0.977630i
$839$	2.37177e12	−	5.72596e12i	0.165251	−	0.398951i	−0.819463	−	0.573133i	$-0.805728\pi$
$839$	2.37177e12	−	5.72596e12i	0.165251	−	0.398951i	0.984714	+	0.174181i	$0.0557279\pi$
$840$	−3.07762e13	+	3.63115e13i	−2.13284	+	2.51645i
$841$	7.05288e11	+	1.70272e12i	0.0486166	+	0.117371i
$842$	−2.29078e11	+	6.02401e12i	−0.0157065	+	0.413030i
$843$	−1.08562e13	−	1.62475e13i	−0.740380	−	1.10806i
$844$	1.04358e13	+	1.85247e13i	0.707920	+	1.25664i
$845$	−1.79753e13	+	3.57550e12i	−1.21289	+	0.241258i
$846$	−1.55392e13	−	3.70992e12i	−1.04295	−	0.248999i
$847$	1.94681e13	+	1.94681e13i	1.29972	+	1.29972i
$848$	−2.92828e12	−	1.06355e12i	−0.194460	−	0.0706281i
$849$	−1.30189e13	+	1.30189e13i	−0.859983	+	0.859983i
$850$	−2.19629e13	+	1.34970e13i	−1.44313	+	0.886853i
$851$	−1.53712e11	−	7.72764e11i	−0.0100468	−	0.0505085i
$852$	4.36701e12	−	5.56834e12i	0.283926	−	0.362033i
$853$	1.42226e13	−	9.50325e12i	0.919833	−	0.614613i	−0.00292399	−	0.999996i	$-0.500931\pi$
$853$	1.42226e13	−	9.50325e12i	0.919833	−	0.614613i	0.922757	+	0.385383i	$0.125931\pi$
$854$	−6.38785e12	+	5.91982e12i	−0.410955	+	0.380845i
$855$	1.42394e13	−	5.89814e12i	0.911262	−	0.377457i
$856$	6.88536e12	−	1.24045e13i	0.438324	−	0.789674i
$857$	1.57077e13	+	6.50633e12i	0.994714	+	0.412024i	0.819856	−	0.572569i	$-0.194053\pi$
$857$	1.57077e13	+	6.50633e12i	0.994714	+	0.412024i	0.174858	+	0.984594i	$0.444053\pi$
$858$	−2.05649e11	−	5.55280e11i	−0.0129549	−	0.0349799i
$859$	−1.31018e12	+	6.58673e12i	−0.0821037	+	0.412763i	0.917774	+	0.397104i	$0.129985\pi$
$859$	−1.31018e12	+	6.58673e12i	−0.0821037	+	0.412763i	−0.999877	+	0.0156593i	$0.995015\pi$
$860$	−3.09798e11	+	2.65946e11i	−0.0193123	+	0.0165787i
$861$	2.13803e13	−	3.19979e13i	1.32587	−	1.98430i
$862$	5.32478e12	−	7.34840e12i	0.328488	−	0.453326i
$863$			2.62152e12i			0.160881i	0.996759	+	0.0804404i	$0.0256327\pi$
$863$			2.62152e12i			0.160881i	−0.996759	+	0.0804404i	$0.974367\pi$
$864$	3.88289e12	+	5.73260e12i	0.237052	+	0.349977i
$865$			6.35947e12i			0.386232i
$866$	1.39502e12	+	1.01086e12i	0.0842851	+	0.0610745i
$867$	2.82918e13	−	4.23416e13i	1.70049	−	2.54496i
$868$	2.40814e13	+	1.83416e12i	1.43993	+	0.109673i
$869$	−2.70436e9	+	1.35957e10i	−0.000160870	+	0.000808748i
$870$	−2.65590e13	+	9.83621e12i	−1.57172	+	0.582091i
$871$	2.55416e13	+	1.05797e13i	1.50372	+	0.622860i
$872$	−8.22631e12	−	1.03542e13i	−0.481816	−	0.606449i
$873$	−3.27680e12	+	1.35729e12i	−0.190935	+	0.0790879i
$874$	−8.24130e11	−	8.89287e11i	−0.0477743	−	0.0515514i
$875$	−2.82318e12	+	1.88639e12i	−0.162818	+	0.108792i
$876$	7.97795e11	+	6.59796e12i	0.0457744	+	0.378566i
$877$	4.84295e12	+	2.43472e13i	0.276447	+	1.38979i	0.830364	+	0.557222i	$0.188133\pi$
$877$	4.84295e12	+	2.43472e13i	0.276447	+	1.38979i	−0.553917	+	0.832572i	$0.686867\pi$
$878$	4.50262e12	+	7.32685e12i	0.255705	+	0.416095i
$879$	7.70039e12	−	7.70039e12i	0.435074	−	0.435074i
$880$	4.42395e11	+	2.68041e11i	0.0248679	+	0.0150671i
$881$	−1.08075e13	−	1.08075e13i	−0.604412	−	0.604412i	0.337068	−	0.941480i	$-0.390565\pi$
$881$	−1.08075e13	−	1.08075e13i	−0.604412	−	0.604412i	−0.941480	+	0.337068i	$0.890565\pi$
$882$	−6.69133e12	+	2.80270e13i	−0.372309	+	1.55944i
$883$	−2.73661e13	+	5.44345e12i	−1.51492	+	0.301336i	−0.881393	−	0.472385i	$-0.843393\pi$
$883$	−2.73661e13	+	5.44345e12i	−1.51492	+	0.301336i	−0.633527	+	0.773721i	$0.718393\pi$
$884$	−1.23257e13	+	4.41291e13i	−0.678852	+	2.43047i
$885$	−3.52278e13	−	5.27221e13i	−1.93037	−	2.88900i
$886$	3.64474e12	+	1.38600e11i	0.198708	+	0.00755635i
$887$	−3.34977e12	−	8.08707e12i	−0.181702	−	0.438667i	0.806616	−	0.591076i	$-0.201297\pi$
$887$	−3.34977e12	−	8.08707e12i	−0.181702	−	0.438667i	−0.988317	+	0.152409i	$0.951297\pi$
$888$	−5.66653e12	+	1.76669e13i	−0.305815	+	0.953457i
$889$	7.05815e12	−	1.70399e13i	0.378995	−	0.914974i
$890$	−1.79364e13	−	8.24140e12i	−0.958254	−	0.440297i
$891$	−4.71961e11	−	9.38789e10i	−0.0250875	−	0.00499020i
$892$	8.60491e12	+	2.62577e13i	0.455097	+	1.38872i
$893$	2.65877e13	+	1.77653e13i	1.39910	+	0.934850i
$894$	−1.68068e13	+	2.68367e12i	−0.879969	+	0.140511i
$895$	3.01914e13			1.57282
$896$	−2.32773e13	−	2.67721e13i	−1.20655	−	1.38771i
$897$	−2.29495e12			−0.118361
$898$	−3.05627e13	+	4.88016e12i	−1.56837	+	0.250433i
$899$	1.19483e13	+	7.98359e12i	0.610080	+	0.407643i
$900$	3.80967e12	+	1.16251e13i	0.193551	+	0.590617i
$901$	−7.36454e12	−	1.46490e12i	−0.372292	−	0.0740535i
$902$	−3.80006e11	−	1.74605e11i	−0.0191144	−	0.00878267i
$903$	−3.33794e11	+	8.05850e11i	−0.0167064	+	0.0403329i
$904$	3.50374e13	+	1.12380e13i	1.74492	+	0.559670i
$905$	2.34889e12	+	5.67071e12i	0.116397	+	0.281008i
$906$	2.52929e13	+	9.61825e11i	1.24716	+	0.0474263i
$907$	5.11921e12	+	7.66144e12i	0.251171	+	0.375905i	0.935534	−	0.353238i	$-0.114919\pi$
$907$	5.11921e12	+	7.66144e12i	0.251171	+	0.375905i	−0.684362	+	0.729142i	$0.739919\pi$
$908$	1.73236e12	−	6.20232e12i	0.0845771	−	0.302808i
$909$	−5.56381e12	+	1.10671e12i	−0.270293	+	0.0537646i
$910$	1.68493e13	−	7.05743e13i	0.814509	−	3.41162i
$911$	−1.50421e13	−	1.50421e13i	−0.723561	−	0.723561i	0.245768	−	0.969329i	$-0.420960\pi$
$911$	−1.50421e13	−	1.50421e13i	−0.723561	−	0.723561i	−0.969329	+	0.245768i	$0.920960\pi$
$912$	6.80487e12	+	2.77276e13i	0.325719	+	1.32720i
$913$	−1.67078e11	+	1.67078e11i	−0.00795794	+	0.00795794i
$914$	9.14330e12	+	1.48784e13i	0.433356	+	0.705176i
$915$	2.26090e12	+	1.13663e13i	0.106632	+	0.536073i
$916$	2.81505e12	+	2.32811e13i	0.132116	+	1.09263i
$917$	−2.64748e13	+	1.76899e13i	−1.23643	+	0.826159i
$918$	1.13431e13	+	1.22400e13i	0.527159	+	0.568837i
$919$	1.17700e12	−	4.87531e11i	0.0544325	−	0.0225467i	−0.355301	−	0.934752i	$-0.615622\pi$
$919$	1.17700e12	−	4.87531e11i	0.0544325	−	0.0225467i	0.409734	+	0.912205i	$0.365622\pi$
$920$	1.56966e12	−	1.24708e12i	0.0722371	−	0.0573915i
$921$	−3.63664e13	−	1.50635e13i	−1.66545	−	0.689853i
$922$	2.83002e13	−	1.04810e13i	1.28973	−	0.477656i
$923$	−2.10445e12	+	1.05798e13i	−0.0954400	+	0.479810i
$924$	1.10185e12	+	8.39226e10i	0.0497278	+	0.00378752i
$925$	8.84030e12	−	1.32304e13i	0.397035	−	0.594206i
$926$	3.40886e13	+	2.47012e13i	1.52356	+	1.10400i
$927$		−	1.19837e13i		−	0.533006i
$928$	−4.24854e12	−	2.06768e13i	−0.188050	−	0.915203i
$929$		−	2.04744e13i		−	0.901864i	−0.892558	−	0.450932i	$-0.851092\pi$
$929$		−	2.04744e13i		−	0.901864i	0.892558	−	0.450932i	$-0.148908\pi$
$930$	1.88569e13	−	2.60233e13i	0.826605	−	1.14075i
$931$	3.20421e13	−	4.79545e13i	1.39781	−	2.09197i
$932$	1.69617e13	−	1.45608e13i	0.736374	−	0.632141i
$933$	6.55357e12	−	3.29470e13i	0.283146	−	1.42347i
$934$	1.99913e12	+	5.39790e12i	0.0859566	+	0.232094i
$935$	1.15180e12	+	4.77093e11i	0.0492863	+	0.0204150i
$936$	1.90110e13	+	1.05524e13i	0.809588	+	0.449377i
$937$	−1.04634e13	+	4.33409e12i	−0.443450	+	0.183683i	−0.593224	−	0.805037i	$-0.702145\pi$
$937$	−1.04634e13	+	4.33409e12i	−0.443450	+	0.183683i	0.149774	+	0.988720i	$0.452145\pi$
$938$	−3.78416e13	+	3.50690e13i	−1.59609	+	1.47914i
$939$	−1.75856e13	+	1.17503e13i	−0.738179	+	0.493235i
$940$	−3.26285e13	+	4.16044e13i	−1.36308	+	1.73806i
$941$	−1.84852e12	−	9.29313e12i	−0.0768547	−	0.386375i	−0.999998	−	0.00191913i	$-0.999389\pi$
$941$	−1.84852e12	−	9.29313e12i	−0.0768547	−	0.386375i	0.923143	−	0.384456i	$-0.125611\pi$
$942$	−7.42583e12	+	4.56345e12i	−0.307267	+	0.188827i
$943$	−1.14609e12	+	1.14609e12i	−0.0471973	+	0.0471973i
$944$	4.28177e13	−	2.00017e13i	1.75489	−	0.819770i
$945$	−1.86866e13	−	1.86866e13i	−0.762234	−	0.762234i
$946$	9.21957e9	+	2.20113e9i	0.000374283	+	8.93585e-5i
$947$	−2.85327e13	+	5.67551e12i	−1.15284	+	0.229314i	−0.734261	−	0.678868i	$-0.762471\pi$
$947$	−2.85327e13	+	5.67551e12i	−1.15284	+	0.229314i	−0.418577	+	0.908181i	$0.637471\pi$
$948$	−6.20942e11	−	1.10224e12i	−0.0249697	−	0.0443241i
$949$	−5.62837e12	−	8.42346e12i	−0.225260	−	0.337126i
$950$	9.30467e11	−	2.44683e13i	0.0370633	−	0.974646i
$951$	−1.07827e13	−	2.60317e13i	−0.427479	−	1.03202i
$952$	−6.52284e13	−	5.52850e13i	−2.57377	−	2.18143i
$953$	1.03729e11	−	2.50424e11i	0.00407364	−	0.00983464i	−0.921830	−	0.387595i	$-0.873306\pi$
$953$	1.03729e11	−	2.50424e11i	0.00407364	−	0.00983464i	0.925903	+	0.377761i	$0.123306\pi$
$954$	−1.48776e12	+	3.23793e12i	−0.0581520	+	0.126561i
$955$	2.29120e13	+	4.55748e12i	0.891349	+	0.177300i
$956$	6.05380e12	−	1.19557e13i	0.234405	−	0.462928i
$957$	5.46698e11	+	3.65292e11i	0.0210690	+	0.0140779i
$958$	2.23205e12	+	1.39785e13i	0.0856168	+	0.536187i
$959$	−7.93198e13			−3.02829
$960$	−4.65690e13	+	7.73736e12i	−1.76961	+	0.294017i
$961$	1.01338e13			0.383280
$962$	−4.45945e12	−	2.79279e13i	−0.167878	−	1.05136i
$963$	−1.34924e13	−	9.01533e12i	−0.505558	−	0.337803i
$964$	−2.69608e13	−	1.36517e13i	−1.00551	−	0.509143i
$965$	6.61763e13	+	1.31633e13i	2.45657	+	0.488643i
$966$	1.78814e12	−	3.89167e12i	0.0660700	−	0.143793i
$967$	5.07813e12	−	1.22597e13i	0.186760	−	0.450879i	−0.802572	−	0.596555i	$-0.796536\pi$
$967$	5.07813e12	−	1.22597e13i	0.186760	−	0.450879i	0.989332	+	0.145676i	$0.0465357\pi$
$968$	2.24530e12	+	2.72129e13i	0.0821929	+	0.996175i
$969$	2.63332e13	+	6.35741e13i	0.959505	+	2.31645i
$970$	−4.46052e11	+	1.17297e13i	−0.0161775	+	0.425417i
$971$	1.20481e13	+	1.80313e13i	0.434944	+	0.650940i	0.982594	−	0.185768i	$-0.0594772\pi$
$971$	1.20481e13	+	1.80313e13i	0.434944	+	0.650940i	−0.547649	+	0.836708i	$0.684477\pi$
$972$	2.80142e13	−	1.57816e13i	1.00665	−	0.567092i
$973$	4.84397e13	−	9.63526e12i	1.73258	−	0.344632i
$974$	1.46308e13	+	3.49304e12i	0.520899	+	0.124362i
$975$	−3.27728e13	−	3.27728e13i	−1.16143	−	1.16143i
$976$	−8.62894e12	+	3.82624e11i	−0.304392	+	0.0134973i
$977$	−1.42080e13	+	1.42080e13i	−0.498894	+	0.498894i	−0.911094	−	0.412199i	$-0.864761\pi$
$977$	−1.42080e13	+	1.42080e13i	−0.498894	+	0.498894i	0.412199	+	0.911094i	$0.364761\pi$
$978$	−6.77254e12	+	4.16197e12i	−0.236715	+	0.145470i
$979$	8.94011e10	+	4.49450e11i	0.00311043	+	0.0156372i
$980$	7.50390e13	+	5.88498e13i	2.59878	+	2.03811i
$981$	−1.25765e13	+	8.40338e12i	−0.433562	+	0.289697i
$982$	7.01457e12	−	6.50062e12i	0.240713	−	0.223076i
$983$	−3.89718e13	+	1.61426e13i	−1.33125	+	0.551422i	−0.931012	−	0.364990i	$-0.881072\pi$
$983$	−3.89718e13	+	1.61426e13i	−1.33125	+	0.551422i	−0.400238	+	0.916411i	$0.631072\pi$
$984$	3.66943e13	−	1.04989e13i	1.24773	−	0.356996i
$985$	5.15769e13	+	2.13638e13i	1.74579	+	0.723130i
$986$	−1.76693e13	−	4.77095e13i	−0.595352	−	1.60753i
$987$	−2.20362e13	+	1.10784e14i	−0.739112	+	3.71577i
$988$	−2.83477e13	−	3.30219e13i	−0.946480	−	1.10254i
$989$	2.04097e10	−	3.05453e10i	0.000678350	−	0.00101522i
$990$	3.47149e11	−	4.79079e11i	0.0114857	−	0.0158507i
$991$			3.36910e13i			1.10964i	0.831971	+	0.554820i	$0.187213\pi$
$991$			3.36910e13i			1.10964i	−0.831971	+	0.554820i	$0.812787\pi$
$992$	1.70432e13	+	1.68297e13i	0.558791	+	0.551790i
$993$			4.04084e13i			1.31886i
$994$	−1.63010e13	−	1.18120e13i	−0.529633	−	0.383782i
$995$	−2.25151e13	+	3.36963e13i	−0.728234	+	1.08988i
$996$	1.63770e12	−	2.15020e13i	0.0527312	−	0.692328i
$997$	−2.37460e12	+	1.19379e13i	−0.0761135	+	0.382648i	−1.00000		1.81911e-5i	$-0.999994\pi$
$997$	−2.37460e12	+	1.19379e13i	−0.0761135	+	0.382648i	0.923886	+	0.382667i	$0.124994\pi$
$998$	−2.81344e13	+	1.04197e13i	−0.897740	+	0.332480i
$999$	−9.51664e12	−	3.94192e12i	−0.302300	−	0.125217i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	64.10.i.a.5.4	✓	568
64.13	even	16	inner	64.10.i.a.13.4	yes	568

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
64.10.i.a.5.4	✓	568	1.1	even	1	trivial
64.10.i.a.13.4	yes	568	64.13	even	16	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 64 = 2^{6} \)
Weight:	\( k \)	\(=\)	\( 10 \)
Character orbit:	\([\chi]\)	\(=\)	64.i (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-22.3444 + 3.56788i) q^{2} +(150.893 + 100.823i) q^{3} +(486.540 - 159.444i) q^{4} +(-1900.87 - 378.107i) q^{5} +(-3731.33 - 1714.46i) q^{6} +(-4470.29 + 10792.2i) q^{7} +(-10302.6 + 5298.59i) q^{8} +(5070.92 + 12242.3i) q^{9} +(43822.8 + 1666.47i) q^{10} +(-565.627 - 846.521i) q^{11} +(89491.1 + 24995.7i) q^{12} +(-138915. + 27631.9i) q^{13} +(61380.3 - 257095. i) q^{14} +(-248706. - 248706. i) q^{15} +(211299. - 155152. i) q^{16} +(446764. - 446764. i) q^{17} +(-156985. - 255453. i) q^{18} +(117081. + 588605. i) q^{19} +(-985137. + 119118. i) q^{20} +(-1.76264e6 + 1.17776e6i) q^{21} +(15658.9 + 16896.9i) q^{22} +(82488.3 - 34167.8i) q^{23} +(-2.08880e6 - 239219. i) q^{24} +(1.66589e6 + 690036. i) q^{25} +(3.00537e6 - 1.11305e6i) q^{26} +(227723. - 1.14484e6i) q^{27} +(-454219. + 5.96362e6i) q^{28} +(-1.97709e6 + 2.95893e6i) q^{29} +(6.44452e6 + 4.66981e6i) q^{30} -4.03805e6i q^{31} +(-4.16778e6 + 4.22066e6i) q^{32} -184762. i q^{33} +(-8.38865e6 + 1.15766e7i) q^{34} +(1.25781e7 - 1.88244e7i) q^{35} +(4.41916e6 + 5.14783e6i) q^{36} +(1.72160e6 - 8.65506e6i) q^{37} +(-4.71617e6 - 1.27343e7i) q^{38} +(-2.37472e7 - 9.83639e6i) q^{39} +(2.15873e7 - 6.17647e6i) q^{40} +(-1.67716e7 + 6.94701e6i) q^{41} +(3.51830e7 - 3.26052e7i) q^{42} +(342112. - 228592. i) q^{43} +(-410173. - 321681. i) q^{44} +(-5.01027e6 - 2.51883e7i) q^{45} +(-1.72124e6 + 1.05777e6i) q^{46} +(3.76764e7 - 3.76764e7i) q^{47} +(4.75264e7 - 2.10741e6i) q^{48} +(-6.79544e7 - 6.79544e7i) q^{49} +(-3.96853e7 - 9.47469e6i) q^{50} +(1.12458e8 - 2.23692e7i) q^{51} +(-6.31819e7 + 3.55931e7i) q^{52} +(-6.60264e6 - 9.88155e6i) q^{53} +(-1.00367e6 + 2.63933e7i) q^{54} +(755109. + 1.82300e6i) q^{55} +(-1.11282e7 - 1.34874e8i) q^{56} +(-4.16785e7 + 1.00621e8i) q^{57} +(3.36197e7 - 7.31693e7i) q^{58} +(1.76815e8 + 3.51707e7i) q^{59} +(-1.60660e8 - 8.13507e7i) q^{60} +(-2.73962e7 - 1.83056e7i) q^{61} +(1.44073e7 + 9.02276e7i) q^{62} -1.54790e8 q^{63} +(7.80676e7 - 1.09178e8i) q^{64} +2.74507e8 q^{65} +(659210. + 4.12839e6i) q^{66} +(-1.62295e8 - 1.08442e8i) q^{67} +(1.46135e8 - 2.88602e8i) q^{68} +(1.58918e7 + 3.16107e6i) q^{69} +(-2.13885e8 + 4.65496e8i) q^{70} +(2.91453e7 - 7.03629e7i) q^{71} +(-1.17110e8 - 9.92580e7i) q^{72} +(2.73722e7 + 6.60823e7i) q^{73} +(-7.58778e6 + 1.99534e8i) q^{74} +(1.81800e8 + 2.72082e8i) q^{75} +(1.50814e8 + 2.67712e8i) q^{76} +(1.16644e7 - 2.32019e6i) q^{77} +(5.65710e8 + 1.35061e8i) q^{78} +(-9.62769e6 - 9.62769e6i) q^{79} +(-4.60317e8 + 2.15030e8i) q^{80} +(3.34215e8 - 3.34215e8i) q^{81} +(3.49964e8 - 2.15065e8i) q^{82} +(-4.52771e7 - 2.27623e8i) q^{83} +(-6.69810e8 + 8.54070e8i) q^{84} +(-1.01816e9 + 6.80316e8i) q^{85} +(-6.82868e6 + 6.32835e6i) q^{86} +(-5.96657e8 + 2.47144e8i) q^{87} +(1.03128e7 + 5.72430e6i) q^{88} +(-4.15844e8 - 1.72248e8i) q^{89} +(2.01820e8 + 5.44941e8i) q^{90} +(3.22779e8 - 1.62272e9i) q^{91} +(3.46860e7 - 2.97763e7i) q^{92} +(4.07129e8 - 6.09312e8i) q^{93} +(-7.07430e8 + 9.76280e8i) q^{94} -1.16313e9i q^{95} +(-1.05443e9 + 2.16657e8i) q^{96} +2.67663e8i q^{97} +(1.76085e9 + 1.27594e9i) q^{98} +(7.49509e6 - 1.12172e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 568 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 157456 q^{99}+O(q^{100}) \) 568 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 + 3576336 * q^22 - 8 * q^23 + 12096992 * q^24 - 8 * q^25 - 2105968 * q^26 - 8 * q^27 - 21791488 * q^28 - 8 * q^29 + 44263272 * q^30 + 29441312 * q^32 - 38537008 * q^34 - 8 * q^35 - 110500728 * q^36 - 8 * q^37 + 66947312 * q^38 - 8 * q^39 + 97089632 * q^40 - 8 * q^41 - 224559088 * q^42 - 8 * q^43 + 146176992 * q^44 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 + 182758288 * q^50 - 360057320 * q^51 - 25227512 * q^52 - 8 * q^53 - 646232264 * q^54 + 280217656 * q^55 + 203163008 * q^56 - 8 * q^57 + 855153280 * q^58 - 576150472 * q^59 + 230939416 * q^60 - 8 * q^61 - 597609496 * q^62 + 1260236864 * q^63 - 1364809832 * q^64 - 16 * q^65 + 186013784 * q^66 - 1007094968 * q^67 + 1004327944 * q^68 - 8 * q^69 + 1869092056 * q^70 - 476202952 * q^71 - 714729104 * q^72 - 8 * q^73 - 2182183312 * q^74 + 2309166136 * q^75 - 888710984 * q^76 - 8 * q^77 + 5243787376 * q^78 - 2269128680 * q^79 - 5193915232 * q^80 - 8 * q^81 + 3136405672 * q^82 - 8 * q^83 + 6148771880 * q^84 - 8 * q^85 - 988828368 * q^86 - 8 * q^87 - 4940685368 * q^88 - 8 * q^89 - 7222410008 * q^90 - 8 * q^91 + 1729489584 * q^92 + 157456 * q^93 + 6710490136 * q^94 + 10366581632 * q^96 + 2543861360 * q^98 + 157456 * q^99

Introduction

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