LMFDB - Embedded newform 64.10.i.a.13.19

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			13.19
Character	$\chi$	$=$	64.13
Dual form			64.10.i.a.5.19

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-14.2080 + 17.6106i) q^{2} +(210.883 - 140.907i) q^{3} +(-108.264 - 500.423i) q^{4} +(-2350.51 + 467.546i) q^{5} +(-514.767 + 5715.77i) q^{6} +(-369.039 - 890.939i) q^{7} +(10351.0 + 5203.42i) q^{8} +(17084.2 - 41245.0i) q^{9} +(25162.4 - 48036.8i) q^{10} +(-43920.5 + 65731.7i) q^{11} +(-93344.2 - 90275.2i) q^{12} +(85826.1 + 17071.9i) q^{13} +(20933.3 + 6159.49i) q^{14} +(-429802. + 429802. i) q^{15} +(-238702. + 108356. i) q^{16} +(-258050. - 258050. i) q^{17} +(483615. + 886874. i) q^{18} +(-48939.8 + 246037. i) q^{19} +(488448. + 1.12563e6i) q^{20} +(-203364. - 135883. i) q^{21} +(-533549. - 1.70738e6i) q^{22} +(1.58394e6 + 656090. i) q^{23} +(2.91603e6 - 361214. i) q^{24} +(3.50187e6 - 1.45052e6i) q^{25} +(-1.52006e6 + 1.26889e6i) q^{26} +(-1.23504e6 - 6.20895e6i) q^{27} +(-405892. + 281133. i) q^{28} +(2.50331e6 + 3.74647e6i) q^{29} +(-1.46242e6 - 1.36757e7i) q^{30} +1.51598e6i q^{31} +(1.48327e6 - 5.74319e6i) q^{32} +2.00504e7i q^{33} +(8.21080e6 - 878029. i) q^{34} +(1.28399e6 + 1.92162e6i) q^{35} +(-2.24896e7 - 4.08398e6i) q^{36} +(766350. + 3.85270e6i) q^{37} +(-3.63751e6 - 4.35755e6i) q^{38} +(2.05048e7 - 8.49335e6i) q^{39} +(-2.67629e7 - 7.39116e6i) q^{40} +(1.34159e7 + 5.55704e6i) q^{41} +(5.28238e6 - 1.65072e6i) q^{42} +(7.92262e6 + 5.29373e6i) q^{43} +(3.76486e7 + 1.48624e7i) q^{44} +(-2.08728e7 + 1.04935e8i) q^{45} +(-3.40588e7 + 1.85724e7i) q^{46} +(3.26566e7 + 3.26566e7i) q^{47} +(-3.50699e7 + 5.64851e7i) q^{48} +(2.78767e7 - 2.78767e7i) q^{49} +(-2.42101e7 + 8.22789e7i) q^{50} +(-9.07794e7 - 1.80572e7i) q^{51} +(-748756. - 4.47976e7i) q^{52} +(-3.59088e7 + 5.37413e7i) q^{53} +(1.26891e8 + 6.64671e7i) q^{54} +(7.25032e7 - 1.75038e8i) q^{55} +(816024. - 1.11423e7i) q^{56} +(2.43478e7 + 5.87809e7i) q^{57} +(-1.01545e8 - 9.14518e6i) q^{58} +(-2.75105e7 + 5.47217e6i) q^{59} +(2.61615e8 + 1.68550e8i) q^{60} +(-2.74450e7 + 1.83382e7i) q^{61} +(-2.66973e7 - 2.15391e7i) q^{62} -4.30516e7 q^{63} +(8.00666e7 + 1.07721e8i) q^{64} -2.09717e8 q^{65} +(-3.53099e8 - 2.84876e8i) q^{66} +(-2.06453e8 + 1.37947e8i) q^{67} +(-1.01197e8 + 1.57072e8i) q^{68} +(4.26473e8 - 8.48308e7i) q^{69} +(-5.20838e7 - 4.69071e6i) q^{70} +(9.72297e7 + 2.34733e8i) q^{71} +(3.91453e8 - 3.38029e8i) q^{72} +(7.73673e7 - 1.86781e8i) q^{73} +(-7.87366e7 - 4.12434e7i) q^{74} +(5.34094e8 - 7.99328e8i) q^{75} +(1.28421e8 - 2.14645e6i) q^{76} +(7.47713e7 + 1.48729e7i) q^{77} +(-1.41759e8 + 4.81774e8i) q^{78} +(-1.00008e8 + 1.00008e8i) q^{79} +(5.10410e8 - 3.66296e8i) q^{80} +(-5.13988e8 - 5.13988e8i) q^{81} +(-2.88476e8 + 1.57307e8i) q^{82} +(2.93712e7 - 1.47659e8i) q^{83} +(-4.59820e7 + 1.16479e8i) q^{84} +(7.27201e8 + 4.85900e8i) q^{85} +(-2.05790e8 + 6.43085e7i) q^{86} +(1.05581e9 + 4.37330e8i) q^{87} +(-7.96648e8 + 4.51849e8i) q^{88} +(-7.94167e8 + 3.28955e8i) q^{89} +(-1.55140e9 - 1.85850e9i) q^{90} +(-1.64632e7 - 8.27660e7i) q^{91} +(1.56838e8 - 8.63671e8i) q^{92} +(2.13612e8 + 3.19693e8i) q^{93} +(-1.03909e9 + 1.11116e8i) q^{94} -6.01195e8i q^{95} +(-4.96462e8 - 1.42014e9i) q^{96} +1.20771e9i q^{97} +(9.48520e7 + 8.86998e8i) q^{98} +(1.96076e9 + 2.93448e9i) 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 $\left(\mathbb{Z}/64\mathbb{Z}\right)^\times$.

$n$	$5$	$63$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$1$

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 $

$2$	−14.2080	+	17.6106i	−0.627912	+	0.778285i
$2$	−14.2080	+	17.6106i	−0.627912	+	0.778285i
$3$	210.883	−	140.907i	1.50312	−	1.00436i	0.513916	−	0.857840i	$-0.328194\pi$
$3$	210.883	−	140.907i	1.50312	−	1.00436i	0.989208	−	0.146515i	$-0.0468058\pi$
$4$	−108.264	−	500.423i	−0.211454	−	0.977388i
$5$	−2350.51	+	467.546i	−1.68189	+	0.334549i	−0.941342	−	0.337453i	$-0.890435\pi$
$5$	−2350.51	+	467.546i	−1.68189	+	0.334549i	−0.740549	+	0.672002i	$0.765435\pi$
$6$	−514.767	+	5715.77i	−0.162155	+	1.80051i
$7$	−369.039	−	890.939i	−0.0580940	−	0.140251i	0.892167	−	0.451705i	$-0.149184\pi$
$7$	−369.039	−	890.939i	−0.0580940	−	0.140251i	−0.950261	+	0.311454i	$0.899184\pi$
$8$	10351.0	+	5203.42i	0.893460	+	0.449142i
$9$	17084.2	−	41245.0i	0.867970	−	2.09546i
$10$	25162.4	−	48036.8i	0.795705	−	1.51906i
$11$	−43920.5	+	65731.7i	−0.904482	+	1.35365i	0.0307155	+	0.999528i	$0.490221\pi$
$11$	−43920.5	+	65731.7i	−0.904482	+	1.35365i	−0.935198	+	0.354125i	$0.884779\pi$
$12$	−93344.2	−	90275.2i	−1.29949	−	1.25676i
$13$	85826.1	+	17071.9i	0.833440	+	0.165781i	0.593325	−	0.804963i	$-0.297815\pi$
$13$	85826.1	+	17071.9i	0.833440	+	0.165781i	0.240115	+	0.970745i	$0.422815\pi$
$14$	20933.3	+	6159.49i	0.145633	+	0.0428518i
$15$	−429802.	+	429802.i	−2.19209	+	2.19209i
$16$	−238702.	+	108356.i	−0.910575	+	0.413345i
$17$	−258050.	−	258050.i	−0.749349	−	0.749349i	0.225008	−	0.974357i	$-0.427759\pi$
$17$	−258050.	−	258050.i	−0.749349	−	0.749349i	−0.974357	+	0.225008i	$0.927759\pi$
$18$	483615.	+	886874.i	1.08586	+	1.99129i
$19$	−48939.8	+	246037.i	−0.0861531	+	0.433121i	0.913501	+	0.406836i	$0.133368\pi$
$19$	−48939.8	+	246037.i	−0.0861531	+	0.433121i	−0.999654	+	0.0262852i	$0.991632\pi$
$20$	488448.	+	1.12563e6i	0.682627	+	1.57312i
$21$	−203364.	−	135883.i	−0.228185	−	0.152468i
$22$	−533549.	−	1.70738e6i	−0.485593	−	1.55392i
$23$	1.58394e6	+	656090.i	1.18022	+	0.488864i	0.884559	−	0.466428i	$-0.154459\pi$
$23$	1.58394e6	+	656090.i	1.18022	+	0.488864i	0.295663	+	0.955292i	$0.404459\pi$
$24$	2.91603e6	−	361214.i	1.79408	−	0.222236i
$25$	3.50187e6	−	1.45052e6i	1.79296	−	0.742667i
$26$	−1.52006e6	+	1.26889e6i	−0.652352	+	0.544557i
$27$	−1.23504e6	−	6.20895e6i	−0.447242	−	2.24844i
$28$	−405892.	+	281133.i	−0.124796	+	0.0864371i
$29$	2.50331e6	+	3.74647e6i	0.657240	+	0.983629i	0.999038	+	0.0438553i	$0.0139641\pi$
$29$	2.50331e6	+	3.74647e6i	0.657240	+	0.983629i	−0.341798	+	0.939773i	$0.611036\pi$
$30$	−1.46242e6	−	1.36757e7i	−0.329630	−	3.08250i
$31$			1.51598e6i			0.294826i	0.989075	+	0.147413i	$0.0470946\pi$
$31$			1.51598e6i			0.294826i	−0.989075	+	0.147413i	$0.952905\pi$
$32$	1.48327e6	−	5.74319e6i	0.250060	−	0.968230i
$33$			2.00504e7i			2.94313i
$34$	8.21080e6	−	878029.i	1.05373	−	0.112682i
$35$	1.28399e6	+	1.92162e6i	0.144629	+	0.216452i
$36$	−2.24896e7	−	4.08398e6i	−2.23162	−	0.405249i
$37$	766350.	+	3.85270e6i	0.0672232	+	0.337954i	0.999731	−	0.0231961i	$-0.00738422\pi$
$37$	766350.	+	3.85270e6i	0.0672232	+	0.337954i	−0.932508	+	0.361150i	$0.882384\pi$
$38$	−3.63751e6	−	4.35755e6i	−0.282995	−	0.339013i
$39$	2.05048e7	−	8.49335e6i	1.41927	−	0.587880i
$40$	−2.67629e7	−	7.39116e6i	−1.65296	−	0.456502i
$41$	1.34159e7	+	5.55704e6i	0.741467	+	0.307126i	0.721255	−	0.692670i	$-0.243566\pi$
$41$	1.34159e7	+	5.55704e6i	0.741467	+	0.307126i	0.0202123	+	0.999796i	$0.493566\pi$
$42$	5.28238e6	−	1.65072e6i	0.261943	−	0.0818561i
$43$	7.92262e6	+	5.29373e6i	0.353395	+	0.236131i	0.719578	−	0.694412i	$-0.244335\pi$
$43$	7.92262e6	+	5.29373e6i	0.353395	+	0.236131i	−0.366182	+	0.930543i	$0.619335\pi$
$44$	3.76486e7	+	1.48624e7i	1.51430	+	0.597795i
$45$	−2.08728e7	+	1.04935e8i	−0.758795	+	3.81472i
$46$	−3.40588e7	+	1.85724e7i	−1.12155	+	0.611585i
$47$	3.26566e7	+	3.26566e7i	0.976182	+	0.976182i	0.999723	−	0.0235412i	$-0.00749407\pi$
$47$	3.26566e7	+	3.26566e7i	0.976182	+	0.976182i	−0.0235412	+	0.999723i	$0.507494\pi$
$48$	−3.50699e7	+	5.64851e7i	−0.953562	+	1.53585i
$49$	2.78767e7	−	2.78767e7i	0.690811	−	0.690811i
$50$	−2.42101e7	+	8.22789e7i	−0.547812	+	1.86176i
$51$	−9.07794e7	−	1.80572e7i	−1.87898	−	0.373752i
$52$	−748756.	−	4.47976e7i	−0.0142012	−	0.849649i
$53$	−3.59088e7	+	5.37413e7i	−0.625115	+	0.935550i	0.374849	+	0.927086i	$0.377694\pi$
$53$	−3.59088e7	+	5.37413e7i	−0.625115	+	0.935550i	−0.999964	+	0.00846459i	$0.997306\pi$
$54$	1.26891e8	+	6.64671e7i	2.03075	+	1.06374i
$55$	7.25032e7	−	1.75038e8i	1.06838	−	2.57929i
$56$	816024.	−	1.11423e7i	0.0110881	−	0.151401i
$57$	2.43478e7	+	5.87809e7i	0.305509	+	0.737563i
$58$	−1.01545e8	−	9.14518e6i	−1.17823	−	0.106112i
$59$	−2.75105e7	+	5.47217e6i	−0.295572	+	0.0587930i	−0.340649	−	0.940191i	$-0.610647\pi$
$59$	−2.75105e7	+	5.47217e6i	−0.295572	+	0.0587930i	0.0450767	+	0.998984i	$0.485647\pi$
$60$	2.61615e8	+	1.68550e8i	2.60604	+	1.67899i
$61$	−2.74450e7	+	1.83382e7i	−0.253793	+	0.169579i	−0.675958	−	0.736940i	$-0.736270\pi$
$61$	−2.74450e7	+	1.83382e7i	−0.253793	+	0.169579i	0.422166	+	0.906519i	$0.361270\pi$
$62$	−2.66973e7	−	2.15391e7i	−0.229458	−	0.185125i
$63$	−4.30516e7			−0.344315
$64$	8.00666e7	+	1.07721e8i	0.596543	+	0.802581i
$65$	−2.09717e8			−1.45722
$66$	−3.53099e8	−	2.84876e8i	−2.29059	−	1.84803i
$67$	−2.06453e8	+	1.37947e8i	−1.25165	+	0.836329i	−0.991610	−	0.129268i	$-0.958737\pi$
$67$	−2.06453e8	+	1.37947e8i	−1.25165	+	0.836329i	−0.260045	+	0.965597i	$0.583737\pi$
$68$	−1.01197e8	+	1.57072e8i	−0.573952	+	0.890858i
$69$	4.26473e8	−	8.48308e7i	2.26501	−	0.450539i
$70$	−5.20838e7	−	4.69071e6i	−0.259275	−	0.0233505i
$71$	9.72297e7	+	2.34733e8i	0.454084	+	1.09626i	0.970755	+	0.240072i	$0.0771712\pi$
$71$	9.72297e7	+	2.34733e8i	0.454084	+	1.09626i	−0.516671	+	0.856184i	$0.672829\pi$
$72$	3.91453e8	−	3.38029e8i	1.71666	−	1.48237i
$73$	7.73673e7	−	1.86781e8i	0.318863	−	0.769804i	−0.680451	−	0.732793i	$-0.738216\pi$
$73$	7.73673e7	−	1.86781e8i	0.318863	−	0.769804i	0.999315	−	0.0370111i	$-0.0117837\pi$
$74$	−7.87366e7	−	4.12434e7i	−0.305235	−	0.159886i
$75$	5.34094e8	−	7.99328e8i	1.94914	−	2.91709i
$76$	1.28421e8	−	2.14645e6i	0.441544	−	0.00738006i
$77$	7.47713e7	+	1.48729e7i	0.242397	+	0.0482157i
$78$	−1.41759e8	+	4.81774e8i	−0.433637	+	1.47373i
$79$	−1.00008e8	+	1.00008e8i	−0.288876	+	0.288876i	−0.836636	−	0.547759i	$-0.815481\pi$
$79$	−1.00008e8	+	1.00008e8i	−0.288876	+	0.288876i	0.547759	+	0.836636i	$0.315481\pi$
$80$	5.10410e8	−	3.66296e8i	1.39320	−	0.999833i
$81$	−5.13988e8	−	5.13988e8i	−1.32669	−	1.32669i
$82$	−2.88476e8	+	1.57307e8i	−0.704607	+	0.384224i
$83$	2.93712e7	−	1.47659e8i	0.0679314	−	0.341514i	−0.931841	−	0.362868i	$-0.881798\pi$
$83$	2.93712e7	−	1.47659e8i	0.0679314	−	0.341514i	0.999772	+	0.0213536i	$0.00679758\pi$
$84$	−4.59820e7	+	1.16479e8i	−0.100770	+	0.255265i
$85$	7.27201e8	+	4.85900e8i	1.51102	+	1.00963i
$86$	−2.05790e8	+	6.43085e7i	−0.405678	+	0.126773i
$87$	1.05581e9	+	4.37330e8i	1.97583	+	0.818414i
$88$	−7.96648e8	+	4.51849e8i	−1.41610	+	0.803195i
$89$	−7.94167e8	+	3.28955e8i	−1.34170	+	0.555752i	−0.933971	−	0.357350i	$-0.883680\pi$
$89$	−7.94167e8	+	3.28955e8i	−1.34170	+	0.555752i	−0.407733	+	0.913101i	$0.633680\pi$
$90$	−1.55140e9	−	1.85850e9i	−2.49248	−	2.98587i
$91$	−1.64632e7	−	8.27660e7i	−0.0251668	−	0.126522i
$92$	1.56838e8	−	8.63671e8i	0.228247	−	1.25691i
$93$	2.13612e8	+	3.19693e8i	0.296110	+	0.443160i
$94$	−1.03909e9	+	1.11116e8i	−1.37270	+	0.146791i
$95$		−	6.01195e8i		−	0.757285i
$96$	−4.96462e8	−	1.42014e9i	−0.596576	−	1.70652i
$97$			1.20771e9i			1.38513i	0.721355	+	0.692566i	$0.243520\pi$
$97$			1.20771e9i			1.38513i	−0.721355	+	0.692566i	$0.756480\pi$
$98$	9.48520e7	+	8.86998e8i	0.103879	+	0.971416i
$99$	1.96076e9	+	2.93448e9i	2.05147	+	3.07024i
$100$	−1.10500e9	−	1.59537e9i	−1.10500	−	1.59537i
$101$	3.11785e8	+	1.56745e9i	0.298133	+	1.49881i	0.781782	+	0.623552i	$0.214311\pi$
$101$	3.11785e8	+	1.56745e9i	0.298133	+	1.49881i	−0.483649	+	0.875262i	$0.660689\pi$
$102$	1.60779e9	−	1.34212e9i	1.47072	−	1.22770i
$103$	−2.72147e8	+	1.12727e8i	−0.238251	+	0.0986870i	−0.498615	−	0.866824i	$-0.666158\pi$
$103$	−2.72147e8	+	1.12727e8i	−0.238251	+	0.0986870i	0.260363	+	0.965511i	$0.416158\pi$
$104$	7.99549e8	+	6.23299e8i	0.670186	+	0.522452i
$105$	5.41541e8	+	2.24314e8i	0.434790	+	0.180096i
$106$	−4.36223e8	−	1.39593e9i	−0.335608	−	1.07396i
$107$	−1.72685e9	−	1.15384e9i	−1.27358	−	0.850979i	−0.279555	−	0.960130i	$-0.590187\pi$
$107$	−1.72685e9	−	1.15384e9i	−1.27358	−	0.850979i	−0.994025	+	0.109150i	$0.965187\pi$
$108$	−2.97339e9	+	1.29025e9i	−2.10303	+	0.912570i
$109$	5.17385e8	−	2.60107e9i	0.351071	−	1.76495i	−0.252455	−	0.967609i	$-0.581238\pi$
$109$	5.17385e8	−	2.60107e9i	0.351071	−	1.76495i	0.603525	−	0.797344i	$-0.293762\pi$
$110$	2.05239e9	+	3.76377e9i	1.33658	+	2.45107i
$111$	7.04483e8	+	7.04483e8i	0.440471	+	0.440471i
$112$	1.84629e8	+	1.72681e8i	0.110871	+	0.103696i
$113$	1.09183e9	−	1.09183e9i	0.629946	−	0.629946i	−0.318109	−	0.948054i	$-0.603048\pi$
$113$	1.09183e9	−	1.09183e9i	0.629946	−	0.629946i	0.948054	+	0.318109i	$0.103048\pi$
$114$	−1.38110e9	−	4.06380e8i	−0.765866	−	0.225352i
$115$	−4.02983e9	−	8.01583e8i	−2.14855	−	0.427374i
$116$	1.60380e9	−	1.65832e9i	0.822411	−	0.850370i
$117$	2.17040e9	−	3.24824e9i	1.07079	−	1.60255i
$118$	2.94501e8	−	5.62224e8i	0.139836	−	0.266956i
$119$	−1.34676e8	+	3.25138e8i	−0.0615645	+	0.148630i
$120$	−6.68530e9	+	2.21242e9i	−2.94310	+	0.973984i
$121$	−1.48929e9	−	3.59547e9i	−0.631606	−	1.52483i
$122$	6.69936e7	−	7.43871e8i	0.0273788	−	0.304004i
$123$	3.61220e9	−	7.18512e8i	1.42298	−	0.283048i
$124$	7.58630e8	−	1.64126e8i	0.288159	−	0.0623420i
$125$	−3.66107e9	+	2.44625e9i	−1.34126	+	0.896202i
$126$	6.11678e8	−	7.58163e8i	0.216200	−	0.267975i
$127$	5.78830e8			0.197439			0.0987197	−	0.995115i	$-0.468525\pi$
$127$	5.78830e8			0.197439			0.0987197	+	0.995115i	$0.468525\pi$
$128$	−3.03461e9	−	1.20478e8i	−0.999213	−	0.0396701i
$129$	2.41667e9			0.768357
$130$	2.97967e9	−	3.69324e9i	0.915003	−	1.13413i
$131$	5.15188e8	−	3.44238e8i	0.152843	−	0.102126i	−0.476797	−	0.879013i	$-0.658202\pi$
$131$	5.15188e8	−	3.44238e8i	0.152843	−	0.102126i	0.629640	+	0.776887i	$0.283202\pi$
$132$	1.00337e10	−	2.17074e9i	2.87658	−	0.622337i
$133$	2.37265e8	−	4.71949e7i	0.0657507	−	0.0130786i
$134$	5.03954e8	−	5.59571e9i	0.135027	−	1.49928i
$135$	5.80594e9	+	1.40168e10i	1.50443	+	3.63200i
$136$	−1.32832e9	−	4.01381e9i	−0.332949	−	1.00608i
$137$	2.94715e8	−	7.11505e8i	0.0714759	−	0.172558i	−0.884104	−	0.467290i	$-0.845230\pi$
$137$	2.94715e8	−	7.11505e8i	0.0714759	−	0.172558i	0.955580	+	0.294732i	$0.0952304\pi$
$138$	−4.56542e9	+	8.71572e9i	−1.07158	+	2.04573i
$139$	7.46424e8	−	1.11710e9i	0.169597	−	0.253820i	−0.736928	−	0.675971i	$-0.763725\pi$
$139$	7.46424e8	−	1.11710e9i	0.169597	−	0.253820i	0.906526	+	0.422150i	$0.138725\pi$
$140$	8.22614e8	−	8.50580e8i	0.180975	−	0.187128i
$141$	1.14883e10	+	2.28516e9i	2.44776	+	0.486889i
$142$	−5.51523e9	−	1.62283e9i	−1.13832	−	0.334945i
$143$	−4.89169e9	+	4.89169e9i	−0.978242	+	0.978242i
$144$	3.91102e8	+	1.16964e10i	0.0757983	+	2.26685i
$145$	−7.63572e9	−	7.63572e9i	−1.43448	−	1.43448i
$146$	2.19009e9	+	4.01627e9i	0.398909	+	0.731536i
$147$	1.95068e9	−	9.80675e9i	0.344555	−	1.73220i
$148$	1.84501e9	−	8.00609e8i	0.316097	−	0.137165i
$149$	2.66501e9	+	1.78070e9i	0.442956	+	0.295974i	0.756976	−	0.653443i	$-0.226676\pi$
$149$	2.66501e9	+	1.78070e9i	0.442956	+	0.295974i	−0.314020	+	0.949416i	$0.601676\pi$
$150$	6.48821e9	+	2.07626e10i	1.04644	+	3.34865i
$151$	−1.77835e9	−	7.36617e8i	−0.278369	−	0.115304i	0.239131	−	0.970987i	$-0.423137\pi$
$151$	−1.77835e9	−	7.36617e8i	−0.278369	−	0.115304i	−0.517500	+	0.855683i	$0.673137\pi$
$152$	−1.78681e9	+	2.29206e9i	−0.271507	+	0.348281i
$153$	−1.50519e10	+	6.23470e9i	−2.22065	+	0.919822i
$154$	−1.32427e9	+	1.10545e9i	−0.189729	+	0.158378i
$155$	−7.08791e8	−	3.56333e9i	−0.0986337	−	0.495865i
$156$	−6.47020e9	−	9.34152e9i	−0.874696	−	1.26287i
$157$	1.59640e9	+	2.38918e9i	0.209697	+	0.313834i	0.921377	−	0.388670i	$-0.127065\pi$
$157$	1.59640e9	+	2.38918e9i	0.209697	+	0.313834i	−0.711680	+	0.702504i	$0.752065\pi$
$158$	−3.40282e8	−	3.18211e9i	−0.0434392	−	0.406217i
$159$			1.63929e10i			2.03409i
$160$	−8.01235e8	+	1.41930e10i	−0.0966541	+	1.71212i
$161$		−	1.65332e9i		−	0.193928i
$162$	1.63544e10	−	1.74887e9i	1.86559	−	0.199499i
$163$	7.11861e9	+	1.06538e10i	0.789862	+	1.18211i	0.979734	+	0.200303i	$0.0641925\pi$
$163$	7.11861e9	+	1.06538e10i	0.789862	+	1.18211i	−0.189873	+	0.981809i	$0.560807\pi$
$164$	1.32841e9	−	7.31524e9i	0.143395	−	0.789644i
$165$	−9.37448e9	−	4.71287e10i	−0.984622	−	4.95003i
$166$	2.18306e9	+	2.61519e9i	0.223140	+	0.267311i
$167$	−7.57865e9	+	3.13918e9i	−0.753994	+	0.312315i	−0.726370	−	0.687304i	$-0.758794\pi$
$167$	−7.57865e9	+	3.13918e9i	−0.753994	+	0.312315i	−0.0276240	+	0.999618i	$0.508794\pi$
$168$	−1.39795e9	−	2.46471e9i	−0.135394	−	0.238712i
$169$	−2.72262e9	−	1.12774e9i	−0.256742	−	0.106346i
$170$	−1.88891e10	+	5.90275e9i	−1.73457	+	0.542044i
$171$	9.31170e9	+	6.22188e9i	0.832811	+	0.556466i
$172$	1.79136e9	−	4.53778e9i	0.156065	−	0.395335i
$173$	−3.73479e9	+	1.87761e10i	−0.317000	+	1.59367i	0.413337	+	0.910578i	$0.364363\pi$
$173$	−3.73479e9	+	1.87761e10i	−0.317000	+	1.59367i	−0.730337	+	0.683087i	$0.760637\pi$
$174$	−2.27026e10	+	1.23798e10i	−1.87760	+	1.02386i
$175$	−2.58465e9	−	2.58465e9i	−0.208320	−	0.208320i
$176$	3.36148e9	−	2.04493e10i	0.264073	−	1.60647i
$177$	−5.03041e9	+	5.03041e9i	−0.385233	+	0.385233i
$178$	5.49046e9	−	1.86595e10i	0.409938	−	1.39319i
$179$	−3.80092e9	−	7.56051e8i	−0.276726	−	0.0550443i	0.0547760	−	0.998499i	$-0.482556\pi$
$179$	−3.80092e9	−	7.56051e8i	−0.276726	−	0.0550443i	−0.331502	+	0.943454i	$0.607556\pi$
$180$	5.47715e10	−	9.15462e8i	3.88891	−	0.0650001i
$181$	7.71917e9	−	1.15526e10i	0.534585	−	0.800063i	−0.461622	−	0.887077i	$-0.652732\pi$
$181$	7.71917e9	−	1.15526e10i	0.534585	−	0.800063i	0.996207	+	0.0870136i	$0.0277323\pi$
$182$	1.69147e9	+	8.86015e8i	0.114273	+	0.0598577i
$183$	−3.20369e9	+	7.73440e9i	−0.211165	+	0.509796i
$184$	1.29814e10	+	1.50331e10i	0.834912	+	0.966868i
$185$	−3.60263e9	−	8.69752e9i	−0.226124	−	0.545912i
$186$	−8.66499e9	−	7.80376e8i	−0.530836	−	0.0478075i
$187$	2.82958e10	−	5.62838e9i	1.69213	−	0.336586i
$188$	1.28066e10	−	1.98777e10i	0.747691	−	1.16053i
$189$	−5.07602e9	+	3.39169e9i	−0.289364	+	0.193347i
$190$	1.05874e10	+	8.54179e9i	0.589383	+	0.475508i
$191$	1.80525e9			0.0981491			0.0490745	−	0.998795i	$-0.484373\pi$
$191$	1.80525e9			0.0981491			0.0490745	+	0.998795i	$0.484373\pi$
$192$	3.20633e10	+	1.14344e10i	1.70276	+	0.607239i
$193$	2.53836e10			1.31688			0.658440	−	0.752634i	$-0.271217\pi$
$193$	2.53836e10			1.31688			0.658440	+	0.752634i	$0.271217\pi$
$194$	−2.12685e10	−	1.71592e10i	−1.07803	−	0.869740i
$195$	−4.42257e10	+	2.95507e10i	−2.19038	+	1.46356i
$196$	−1.69682e10	−	1.09321e10i	−0.821265	−	0.529116i
$197$	−2.22899e10	+	4.43374e9i	−1.05441	+	0.209736i	−0.691714	−	0.722171i	$-0.743144\pi$
$197$	−2.22899e10	+	4.43374e9i	−1.05441	+	0.209736i	−0.362697	+	0.931907i	$0.618144\pi$
$198$	−7.95363e10	−	7.16310e9i	−3.67766	−	0.331213i
$199$	−1.11527e10	−	2.69250e10i	−0.504129	−	1.21707i	−0.947216	−	0.320596i	$-0.896117\pi$
$199$	−1.11527e10	−	2.69250e10i	−0.504129	−	1.21707i	0.443087	−	0.896479i	$-0.353883\pi$
$200$	4.37953e10	+	3.20741e9i	1.93550	+	0.141749i
$201$	−2.40995e10	+	5.81814e10i	−1.04142	+	2.51421i
$202$	−3.20336e10	−	1.67797e10i	−1.35371	−	0.709091i
$203$	2.41406e9	−	3.61289e9i	0.0997735	−	0.149322i
$204$	7.91970e8	+	4.73830e10i	0.0320164	+	1.91552i
$205$	−3.41324e10	−	6.78936e9i	−1.34982	−	0.268495i
$206$	1.88148e9	−	6.39429e9i	0.0727943	−	0.247394i
$207$	5.41209e10	−	5.41209e10i	2.04879	−	2.04879i
$208$	−2.23367e10	+	5.22468e9i	−0.827434	+	0.193542i
$209$	−1.40230e10	−	1.40230e10i	−0.508372	−	0.508372i
$210$	−1.16445e10	+	6.34979e9i	−0.413176	+	0.225306i
$211$	−5.86269e9	+	2.94737e10i	−0.203622	+	1.02368i	0.734825	+	0.678257i	$0.237264\pi$
$211$	−5.86269e9	+	2.94737e10i	−0.203622	+	1.02368i	−0.938447	+	0.345422i	$0.887736\pi$
$212$	3.07810e10	+	1.21513e10i	1.04658	+	0.413154i
$213$	5.35797e10	+	3.58008e10i	1.78358	+	1.19175i
$214$	4.48549e10	−	1.40169e10i	1.46200	−	0.456868i
$215$	−2.10973e10	−	8.73879e9i	−0.673370	−	0.278919i
$216$	1.95239e10	−	7.06949e10i	0.610275	−	2.20977i
$217$	1.35065e9	−	5.59456e8i	0.0413497	−	0.0171276i
$218$	3.84553e10	+	4.60675e10i	1.15319	+	1.38147i
$219$	−1.00034e10	−	5.02905e10i	−0.293866	−	1.47736i
$220$	−9.54425e10	−	1.73318e10i	−2.74688	−	0.498818i
$221$	−1.77420e10	−	2.65528e10i	−0.500309	−	0.748765i
$222$	−2.24157e10	+	2.39704e9i	−0.619388	+	0.0662349i
$223$		−	2.66956e9i		−	0.0722884i	−0.999347	−	0.0361442i	$-0.988492\pi$
$223$		−	2.66956e9i		−	0.0722884i	0.999347	−	0.0361442i	$-0.0115076\pi$
$224$	−5.66422e9	+	7.97961e8i	−0.150323	+	0.0211771i
$225$		−	1.69216e11i		−	4.40169i
$226$	3.71502e9	+	3.47406e10i	0.0947267	+	0.885827i
$227$	3.20710e10	+	4.79977e10i	0.801672	+	1.19979i	0.976570	+	0.215200i	$0.0690405\pi$
$227$	3.20710e10	+	4.79977e10i	0.801672	+	1.19979i	−0.174898	+	0.984587i	$0.555960\pi$
$228$	2.67793e10	−	1.85481e10i	0.656284	−	0.454561i
$229$	−4.45489e9	−	2.23963e10i	−0.107048	−	0.538166i	−0.996675	−	0.0814784i	$-0.974036\pi$
$229$	−4.45489e9	−	2.23963e10i	−0.107048	−	0.538166i	0.889627	−	0.456687i	$-0.150964\pi$
$230$	7.13722e10	−	5.95787e10i	1.68172	−	1.40383i
$231$	1.78637e10	−	7.39937e9i	0.412778	−	0.170978i
$232$	6.41720e9	+	5.18053e10i	0.145429	+	1.17403i
$233$	5.91796e9	+	2.45130e9i	0.131544	+	0.0544873i	0.447484	−	0.894292i	$-0.352320\pi$
$233$	5.91796e9	+	2.45130e9i	0.131544	+	0.0544873i	−0.315941	+	0.948779i	$0.602320\pi$
$234$	2.63662e10	+	8.43731e10i	0.574878	+	1.83964i
$235$	−9.20283e10	−	6.14914e10i	−1.96841	−	1.31525i
$236$	5.71680e9	+	1.31744e10i	0.119963	+	0.276457i
$237$	−6.99808e9	+	3.51817e10i	−0.144083	+	0.724352i
$238$	−3.81238e9	−	6.99129e9i	−0.0770193	−	0.141241i
$239$	3.13835e9	+	3.13835e9i	0.0622172	+	0.0622172i	0.737531	−	0.675314i	$-0.235992\pi$
$239$	3.13835e9	+	3.13835e9i	0.0622172	+	0.0622172i	−0.675314	+	0.737531i	$0.735992\pi$
$240$	5.60229e10	−	1.49166e11i	1.08997	−	2.90215i
$241$	−9.00779e9	+	9.00779e9i	−0.172005	+	0.172005i	−0.787860	−	0.615855i	$-0.788811\pi$
$241$	−9.00779e9	+	9.00779e9i	−0.172005	+	0.172005i	0.615855	+	0.787860i	$0.288811\pi$
$242$	8.44783e10	+	2.48573e10i	1.58335	+	0.465891i
$243$	−5.86052e10	−	1.16573e10i	−1.07822	−	0.214471i
$244$	1.21482e10	+	1.17487e10i	0.219410	+	0.212196i
$245$	−5.24910e10	+	7.85583e10i	−0.930759	+	1.39298i
$246$	−3.86688e10	+	7.38216e10i	−0.673214	+	1.28521i
$247$	−8.40062e9	+	2.02809e10i	−0.143607	+	0.346697i
$248$	−7.88827e9	+	1.56918e10i	−0.132419	+	0.263415i
$249$	−1.46124e10	−	3.52774e10i	−0.240893	−	0.581566i
$250$	8.93672e9	−	9.92299e10i	0.144693	−	1.60662i
$251$	7.85247e10	−	1.56195e10i	1.24875	−	0.248391i	0.473922	−	0.880567i	$-0.342838\pi$
$251$	7.85247e10	−	1.56195e10i	1.24875	−	0.248391i	0.774825	+	0.632176i	$0.217838\pi$
$252$	4.66095e9	+	2.15440e10i	0.0728068	+	0.336530i
$253$	−1.12693e11	+	7.52993e10i	−1.72924	+	1.15544i
$254$	−8.22402e9	+	1.01935e10i	−0.123975	+	0.153664i
$255$	2.21821e11			3.28528
$256$	4.52375e10	−	5.17295e10i	0.658292	−	0.752763i
$257$	−9.11642e10			−1.30354			−0.651772	−	0.758415i	$-0.725974\pi$
$257$	−9.11642e10			−1.30354			−0.651772	+	0.758415i	$0.725974\pi$
$258$	−3.43361e10	+	4.25589e10i	−0.482460	+	0.598001i
$259$	3.14971e9	−	2.10457e9i	0.0434932	−	0.0290612i
$260$	2.27049e10	+	1.04947e11i	0.308134	+	1.42427i
$261$	1.97290e11	−	3.92435e10i	2.63162	−	0.523462i
$262$	−1.25758e9	+	1.39637e10i	−0.0164885	+	0.183081i
$263$	−3.24298e10	−	7.82926e10i	−0.417969	−	1.00907i	−0.982935	−	0.183952i	$-0.941111\pi$
$263$	−3.24298e10	−	7.82926e10i	−0.417969	−	1.00907i	0.564966	−	0.825114i	$-0.308889\pi$
$264$	−1.04330e11	+	2.07540e11i	−1.32188	+	2.62957i
$265$	5.92776e10	−	1.43109e11i	0.738388	−	1.78263i
$266$	−2.53993e9	+	4.84891e9i	−0.0311068	+	0.0593850i
$267$	−1.21124e11	+	1.81275e11i	−1.45858	+	2.18291i
$268$	9.13835e10	+	8.83789e10i	1.08208	+	1.04651i
$269$	−3.88182e10	−	7.72142e9i	−0.452012	−	0.0899108i	−0.0361660	−	0.999346i	$-0.511515\pi$
$269$	−3.88182e10	−	7.72142e9i	−0.452012	−	0.0899108i	−0.415846	+	0.909435i	$0.636515\pi$
$270$	−3.29334e11	−	9.69048e10i	−3.77138	−	1.10971i
$271$	−8.89940e10	+	8.89940e10i	−1.00230	+	1.00230i	−0.00230570	+	0.999997i	$0.500734\pi$
$271$	−8.89940e10	+	8.89940e10i	−1.00230	+	1.00230i	−0.999997	+	0.00230570i	$0.999266\pi$
$272$	8.95583e10	+	3.36358e10i	0.992078	+	0.372599i
$273$	−1.51341e10	−	1.51341e10i	−0.164902	−	0.164902i
$274$	8.34269e9	+	1.52992e10i	0.0894188	+	0.163980i
$275$	−5.84586e10	+	2.93891e11i	−0.616384	+	3.09877i
$276$	−8.86231e10	−	2.04233e11i	−0.919298	−	2.11853i
$277$	−4.91446e10	−	3.28374e10i	−0.501553	−	0.335127i	0.278922	−	0.960314i	$-0.410023\pi$
$277$	−4.91446e10	−	3.28374e10i	−0.501553	−	0.335127i	−0.780475	+	0.625187i	$0.785023\pi$
$278$	9.06761e9	+	2.90168e10i	0.0910524	+	0.291372i
$279$	6.25266e10	+	2.58994e10i	0.617797	+	0.255900i
$280$	3.29148e9	+	2.65717e10i	0.0320022	+	0.258350i
$281$	1.66402e11	−	6.89259e10i	1.59213	−	0.659483i	0.601858	−	0.798603i	$-0.294427\pi$
$281$	1.66402e11	−	6.89259e10i	1.59213	−	0.659483i	0.990276	+	0.139120i	$0.0444274\pi$
$282$	−2.03468e11	+	1.69847e11i	−1.91591	+	1.59933i
$283$	2.12967e10	+	1.07066e11i	0.197366	+	0.992227i	0.944739	+	0.327822i	$0.106315\pi$
$283$	2.12967e10	+	1.07066e11i	0.197366	+	0.992227i	−0.747373	+	0.664404i	$0.768685\pi$
$284$	1.06939e11	−	7.40692e10i	0.975450	−	0.675624i
$285$	−8.47127e10	−	1.26782e11i	−0.760583	−	1.13829i
$286$	−1.66442e10	−	1.55647e11i	−0.147101	−	1.37560i
$287$		−	1.40035e10i		−	0.121834i
$288$	−2.11538e11	−	1.59296e11i	−1.81185	−	1.36439i
$289$			1.45920e10i			0.123048i
$290$	2.42958e11	−	2.59809e10i	2.01716	−	0.215707i
$291$	1.70175e11	+	2.54686e11i	1.39116	+	2.08202i
$292$	−1.01846e11	−	1.84946e10i	−0.819822	−	0.148875i
$293$	1.54063e10	+	7.74528e10i	0.122122	+	0.613949i	0.992569	+	0.121686i	$0.0388302\pi$
$293$	1.54063e10	+	7.74528e10i	0.122122	+	0.613949i	−0.870446	+	0.492263i	$0.836170\pi$
$294$	1.44987e11	+	1.73687e11i	1.13179	+	1.35583i
$295$	6.21052e10	−	2.57248e10i	0.477451	−	0.197767i
$296$	−1.21148e10	+	4.38667e10i	−0.0917280	+	0.332141i
$297$	4.62368e11	+	1.91519e11i	3.44813	+	1.42826i
$298$	−6.92237e10	+	2.16321e10i	−0.508489	+	0.158901i
$299$	1.24743e11	+	8.33505e10i	0.902599	+	0.603098i
$300$	−4.57825e11	−	1.80734e11i	−3.26328	−	1.28823i
$301$	1.79263e9	−	9.01217e9i	0.0125876	−	0.0632820i
$302$	3.82391e10	−	2.08519e10i	0.264531	−	0.144250i
$303$	2.86615e11	+	2.86615e11i	1.95347	+	1.95347i
$304$	−1.49775e10	−	6.40323e10i	−0.100579	−	0.430000i
$305$	5.59360e10	−	5.59360e10i	0.370119	−	0.370119i
$306$	1.04061e11	−	3.53655e11i	0.678487	−	2.30586i
$307$	−2.14374e11	−	4.26416e10i	−1.37736	−	0.273975i	−0.549776	−	0.835312i	$-0.685287\pi$
$307$	−2.14374e11	−	4.26416e10i	−1.37736	−	0.273975i	−0.827587	+	0.561337i	$0.810287\pi$
$308$	−6.52313e8	−	3.90275e10i	−0.00413026	−	0.247111i
$309$	−4.15070e10	+	6.21196e10i	−0.259005	+	0.387628i
$310$	7.28228e10	+	3.81457e10i	0.447857	+	0.234594i
$311$	−1.63332e10	+	3.94317e10i	−0.0990030	+	0.239014i	−0.965619	−	0.259961i	$-0.916290\pi$
$311$	−1.63332e10	+	3.94317e10i	−0.0990030	+	0.239014i	0.866616	+	0.498975i	$0.166290\pi$
$312$	2.56438e11	+	1.87806e10i	1.53210	+	0.112205i
$313$	3.59387e10	+	8.67638e10i	0.211648	+	0.510962i	0.993677	−	0.112279i	$-0.0358152\pi$
$313$	3.59387e10	+	8.67638e10i	0.211648	+	0.510962i	−0.782029	+	0.623242i	$0.785815\pi$
$314$	−6.47565e10	−	5.83202e9i	−0.375924	−	0.0338560i
$315$	1.01193e11	−	2.01286e10i	0.579101	−	0.115190i
$316$	6.08735e10	+	3.92189e10i	0.343428	+	0.221260i
$317$	1.17540e11	−	7.85377e10i	0.653761	−	0.436829i	−0.183956	−	0.982935i	$-0.558890\pi$
$317$	1.17540e11	−	7.85377e10i	0.653761	−	0.436829i	0.837716	+	0.546106i	$0.183890\pi$
$318$	−2.88689e11	−	2.32911e11i	−1.58310	−	1.27723i
$319$	−3.56208e11			−1.92595
$320$	−2.38562e11	−	2.15764e11i	−1.27182	−	1.15028i
$321$	−5.26746e11			−2.76904
$322$	2.91159e10	+	2.34904e10i	0.150931	+	0.121770i
$323$	7.61188e10	−	5.08610e10i	0.389117	−	0.260000i
$324$	−2.01565e11	+	3.12858e11i	−1.01616	+	1.57723i
$325$	3.25315e11	−	6.47091e10i	1.61744	−	0.321729i
$326$	−2.88760e11	−	2.60059e10i	−1.41598	−	0.127524i
$327$	−2.57402e11	−	6.21424e11i	−1.24494	−	3.00554i
$328$	1.09951e11	+	1.27329e11i	0.524528	+	0.607429i
$329$	1.70435e10	−	4.11466e10i	0.0802005	−	0.193621i
$330$	9.63156e11	+	5.04516e11i	4.47079	+	2.34186i
$331$	1.70735e11	−	2.55523e11i	0.781800	−	1.17005i	−0.199938	−	0.979809i	$-0.564074\pi$
$331$	1.70735e11	−	2.55523e11i	0.781800	−	1.17005i	0.981738	−	0.190238i	$-0.0609261\pi$
$332$	−7.70719e10	+	1.28819e9i	−0.348156	+	0.00581916i
$333$	1.71997e11	+	3.42124e10i	0.766518	+	0.152470i
$334$	5.23949e10	−	1.78066e11i	0.230372	−	0.782928i
$335$	4.20774e11	−	4.20774e11i	1.82535	−	1.82535i
$336$	6.32670e10	+	1.03999e10i	0.270801	+	0.0445146i
$337$	5.47618e10	+	5.47618e10i	0.231283	+	0.231283i	0.813228	−	0.581945i	$-0.197708\pi$
$337$	5.47618e10	+	5.47618e10i	0.231283	+	0.231283i	−0.581945	+	0.813228i	$0.697708\pi$
$338$	5.85432e10	−	3.19238e10i	0.243978	−	0.133042i
$339$	7.64013e10	−	3.84095e11i	0.314197	−	1.57958i
$340$	1.64426e11	−	4.16514e11i	0.667290	−	1.69034i
$341$	−9.96478e10	−	6.65825e10i	−0.399092	−	0.266665i
$342$	−2.41872e11	+	7.55838e10i	−0.956021	+	0.298752i
$343$	−7.10767e10	−	2.94409e10i	−0.277270	−	0.114849i
$344$	5.44612e10	+	9.60198e10i	0.209688	+	0.369699i
$345$	−9.62770e11	+	3.98792e11i	−3.65878	+	1.51552i
$346$	−2.77593e11	−	3.32542e11i	−1.04128	−	1.24740i
$347$	4.19860e10	+	2.11078e11i	0.155461	+	0.781556i	0.977304	+	0.211842i	$0.0679461\pi$
$347$	4.19860e10	+	2.11078e11i	0.155461	+	0.781556i	−0.821843	+	0.569714i	$0.807054\pi$
$348$	1.04544e11	−	5.75698e11i	0.382112	−	2.10421i
$349$	1.86354e11	+	2.78898e11i	0.672393	+	1.00631i	0.998147	+	0.0608526i	$0.0193820\pi$
$349$	1.86354e11	+	2.78898e11i	0.672393	+	1.00631i	−0.325754	+	0.945455i	$0.605618\pi$
$350$	8.22400e10	−	8.79441e9i	0.292939	−	0.0313257i
$351$		−	5.53974e11i		−	1.94808i
$352$	3.12364e11	+	3.49742e11i	1.08447	+	1.21424i
$353$		−	1.64016e11i		−	0.562213i	−0.959677	−	0.281106i	$-0.909299\pi$
$353$		−	1.64016e11i		−	0.562213i	0.959677	−	0.281106i	$-0.0907013\pi$
$354$	−1.71162e10	−	1.60060e11i	−0.0579286	−	0.541713i
$355$	−3.38289e11	−	5.06285e11i	−1.13047	−	1.69187i
$356$	2.50596e11	+	3.61805e11i	0.826893	+	1.19385i
$357$	1.74133e10	+	8.75428e10i	0.0567381	+	0.285242i
$358$	6.73181e10	−	5.61945e10i	0.216600	−	0.180809i
$359$	−1.28083e11	+	5.30537e10i	−0.406974	+	0.168574i	−0.576773	−	0.816905i	$-0.695688\pi$
$359$	−1.28083e11	+	5.30537e10i	−0.406974	+	0.168574i	0.169799	+	0.985479i	$0.445688\pi$
$360$	−7.62073e11	+	9.77564e11i	−2.39131	+	3.06750i
$361$	2.39986e11	+	9.94053e10i	0.743708	+	0.308054i
$362$	9.37729e10	+	3.00078e11i	0.287005	+	0.918428i
$363$	−8.20695e11	−	5.48371e11i	−2.48086	−	1.65766i
$364$	−3.96356e10	+	1.71992e10i	−0.118339	+	0.0513512i
$365$	−9.45241e10	+	4.75205e11i	−0.278756	+	1.40140i
$366$	−9.06891e10	−	1.66309e11i	−0.264174	−	0.484453i
$367$	3.09215e11	+	3.09215e11i	0.889741	+	0.889741i	0.994498	−	0.104757i	$-0.0334065\pi$
$367$	3.09215e11	+	3.09215e11i	0.889741	+	0.889741i	−0.104757	+	0.994498i	$0.533406\pi$
$368$	−4.49181e11	+	1.50196e10i	−1.27675	+	0.0426916i
$369$	4.58400e11	−	4.58400e11i	1.28714	−	1.28714i
$370$	2.04355e11	+	6.01302e10i	0.566861	+	0.166796i
$371$	6.11320e10	+	1.21599e10i	0.167528	+	0.0333233i
$372$	1.36855e11	−	1.41508e11i	0.370526	−	0.383122i
$373$	−3.45648e11	+	5.17299e11i	−0.924580	+	1.38373i	−0.00113504	+	0.999999i	$0.500361\pi$
$373$	−3.45648e11	+	5.17299e11i	−0.924580	+	1.38373i	−0.923445	+	0.383732i	$0.874639\pi$
$374$	−3.02908e11	+	5.78273e11i	−0.800550	+	1.52831i
$375$	−4.27362e11	+	1.03174e12i	−1.11598	+	2.69421i
$376$	1.68101e11	+	5.07953e11i	0.433735	+	1.31062i
$377$	1.50890e11	+	3.64281e11i	0.384702	+	0.928753i
$378$	1.23906e10	−	1.37581e11i	0.0312162	−	0.346613i
$379$	−6.70641e11	+	1.33399e11i	−1.66961	+	0.332105i	−0.937208	−	0.348772i	$-0.886599\pi$
$379$	−6.70641e11	+	1.33399e11i	−1.66961	+	0.332105i	−0.732398	+	0.680877i	$0.761599\pi$
$380$	−3.00852e11	+	6.50880e10i	−0.740161	+	0.160131i
$381$	1.22065e11	−	8.15613e10i	0.296776	−	0.198299i
$382$	−2.56490e10	+	3.17914e10i	−0.0616289	+	0.0763879i
$383$	4.96814e11			1.17978			0.589888	−	0.807485i	$-0.299172\pi$
$383$	4.96814e11			1.17978			0.589888	+	0.807485i	$0.299172\pi$
$384$	−6.56923e11	+	4.02192e11i	−1.54178	+	0.943936i
$385$	−1.82705e11			−0.423815
$386$	−3.60651e11	+	4.47020e11i	−0.826884	+	1.02491i
$387$	3.53692e11	−	2.36329e11i	0.801541	−	0.535573i
$388$	6.04367e11	−	1.30752e11i	1.35381	−	0.292891i
$389$	1.56831e11	−	3.11957e10i	0.347264	−	0.0690751i	−0.0183769	−	0.999831i	$-0.505850\pi$
$389$	1.56831e11	−	3.11957e10i	0.347264	−	0.0690751i	0.365641	+	0.930756i	$0.380850\pi$
$390$	1.07956e11	−	1.19870e12i	0.236295	−	2.62373i
$391$	−2.39432e11	−	5.78041e11i	−0.518069	−	1.25073i
$392$	4.33605e11	−	1.43496e11i	0.927485	−	0.306940i
$393$	6.01386e10	−	1.45187e11i	0.127171	−	0.307017i
$394$	2.38615e11	−	4.55533e11i	0.498843	−	0.952328i
$395$	1.88312e11	−	2.81828e11i	0.389215	−	0.582502i
$396$	1.25620e12	−	1.29891e12i	2.56703	−	2.65430i
$397$	5.30047e10	+	1.05433e10i	0.107092	+	0.0213019i	0.248345	−	0.968672i	$-0.420113\pi$
$397$	5.30047e10	+	1.05433e10i	0.107092	+	0.0213019i	−0.141253	+	0.989973i	$0.545113\pi$
$398$	6.32623e11	+	1.86146e11i	1.26378	+	0.371860i
$399$	4.33849e10	−	4.33849e10i	0.0856960	−	0.0856960i
$400$	−6.78729e11	+	7.25690e11i	−1.32564	+	1.41736i
$401$	−1.86599e11	−	1.86599e11i	−0.360378	−	0.360378i	0.503574	−	0.863952i	$-0.332018\pi$
$401$	−1.86599e11	−	1.86599e11i	−0.360378	−	0.360378i	−0.863952	+	0.503574i	$0.832018\pi$
$402$	−6.82201e11	−	1.25105e12i	−1.30285	−	2.38923i
$403$	−2.58806e10	+	1.30110e11i	−0.0488766	+	0.245719i
$404$	7.50633e11	−	3.25724e11i	1.40188	−	0.608321i
$405$	1.44845e12	+	9.67824e11i	2.67520	+	1.78751i
$406$	2.93261e10	+	9.38450e10i	0.0535658	+	0.171413i
$407$	−2.86903e11	−	1.18839e11i	−0.518275	−	0.214676i
$408$	−8.45695e11	−	6.59272e11i	−1.51092	−	1.17786i
$409$	−2.04146e11	+	8.45599e10i	−0.360732	+	0.149420i	−0.555686	−	0.831392i	$-0.687544\pi$
$409$	−2.04146e11	+	8.45599e10i	−0.360732	+	0.149420i	0.194954	+	0.980812i	$0.437544\pi$
$410$	6.04518e11	−	5.04628e11i	1.05653	−	0.881949i
$411$	−3.81059e10	−	1.91572e11i	−0.0658726	−	0.331164i
$412$	8.58749e10	+	1.23984e11i	0.146835	+	0.211996i
$413$	1.50278e10	+	2.24907e10i	0.0254168	+	0.0380389i
$414$	1.84149e11	+	1.72205e12i	0.308083	+	2.88101i
$415$			3.60807e11i			0.597117i
$416$	2.25350e11	−	4.67594e11i	0.368925	−	0.765506i
$417$		−	3.40754e11i		−	0.551860i
$418$	4.46191e11	−	4.77138e10i	0.714870	−	0.0764453i
$419$	1.65738e10	+	2.48044e10i	0.0262699	+	0.0393157i	0.844372	−	0.535757i	$-0.179974\pi$
$419$	1.65738e10	+	2.48044e10i	0.0262699	+	0.0393157i	−0.818102	+	0.575073i	$0.804974\pi$
$420$	5.36220e10	−	2.95285e11i	0.0840856	−	0.463041i
$421$	−6.27514e10	−	3.15472e11i	−0.0973540	−	0.489431i	−0.998442	−	0.0557957i	$-0.982230\pi$
$421$	−6.27514e10	−	3.15472e11i	−0.0973540	−	0.489431i	0.901088	−	0.433636i	$-0.142770\pi$
$422$	−4.35752e11	−	5.22008e11i	−0.668857	−	0.801256i
$423$	1.90484e12	−	7.89009e11i	2.89285	−	1.19826i
$424$	−6.51329e11	+	3.69425e11i	−0.978710	+	0.555112i
$425$	−1.27797e12	−	5.29351e11i	−1.90007	−	0.787033i
$426$	−1.39173e12	+	4.34910e11i	−2.04745	+	0.639818i
$427$	2.64665e10	+	1.76843e10i	0.0385275	+	0.0257433i
$428$	−3.90452e11	+	9.89072e11i	−0.562434	+	1.42473i
$429$	−3.42297e11	+	1.72084e12i	−0.487917	+	2.45292i
$430$	4.53646e11	−	2.47375e11i	0.639895	−	0.348937i
$431$	−2.18672e11	−	2.18672e11i	−0.305243	−	0.305243i	0.537818	−	0.843061i	$-0.319249\pi$
$431$	−2.18672e11	−	2.18672e11i	−0.305243	−	0.305243i	−0.843061	+	0.537818i	$0.819249\pi$
$432$	9.67581e11	+	1.34826e12i	1.33663	+	1.86251i
$433$	−2.29929e11	+	2.29929e11i	−0.314339	+	0.314339i	−0.846588	−	0.532249i	$-0.821347\pi$
$433$	−2.29929e11	+	2.29929e11i	−0.314339	+	0.314339i	0.532249	+	0.846588i	$0.321347\pi$
$434$	−9.33766e9	+	3.17344e10i	−0.0126338	+	0.0429365i
$435$	−2.68617e12	−	5.34312e11i	−3.59692	−	0.715473i
$436$	−1.35765e12	+	2.26920e10i	−1.79928	+	0.0300735i
$437$	−2.38940e11	+	3.57599e11i	−0.313417	+	0.469062i
$438$	1.02777e12	+	5.38363e11i	1.33433	+	0.698943i
$439$	−3.14250e11	+	7.58668e11i	−0.403818	+	0.974903i	0.582912	+	0.812535i	$0.301913\pi$
$439$	−3.14250e11	+	7.58668e11i	−0.403818	+	0.974903i	−0.986730	+	0.162368i	$0.948087\pi$
$440$	1.66127e12	−	1.43455e12i	2.11302	−	1.82464i
$441$	−6.73523e11	−	1.62603e12i	−0.847967	−	2.04717i
$442$	7.19690e11	+	6.48158e10i	0.896902	+	0.0807757i
$443$	1.45445e12	−	2.89307e11i	1.79424	−	0.356897i	0.818276	−	0.574825i	$-0.194930\pi$
$443$	1.45445e12	−	2.89307e11i	1.79424	−	0.356897i	0.975965	+	0.217928i	$0.0699299\pi$
$444$	2.76269e11	−	4.28810e11i	0.337372	−	0.523650i
$445$	1.71290e12	−	1.14452e12i	2.07067	−	1.38358i
$446$	4.70125e10	+	3.79292e10i	0.0562609	+	0.0453907i
$447$	8.12918e11			0.963081
$448$	6.64248e10	−	1.11088e11i	0.0779075	−	0.130291i
$449$	−7.39871e11			−0.859107			−0.429554	−	0.903041i	$-0.641329\pi$
$449$	−7.39871e11			−0.859107			−0.429554	+	0.903041i	$0.641329\pi$
$450$	2.97998e12	+	2.40422e12i	3.42577	+	2.76387i
$451$	−9.54505e11	+	6.37780e11i	−1.08639	+	0.725900i
$452$	−6.64584e11	−	4.28171e11i	−0.748906	−	0.482497i
$453$	−4.78818e11	+	9.52428e10i	−0.534230	+	0.106265i
$454$	−1.30093e12	−	1.17163e11i	−1.43715	−	0.129431i
$455$	7.73939e10	+	1.86845e11i	0.0846556	+	0.204377i
$456$	−5.38382e10	+	7.35130e11i	−0.0583108	+	0.796200i
$457$	−2.02276e11	+	4.88337e11i	−0.216931	+	0.523717i	−0.994458	−	0.105132i	$-0.966474\pi$
$457$	−2.02276e11	+	4.88337e11i	−0.216931	+	0.523717i	0.777528	+	0.628849i	$0.216474\pi$
$458$	4.57706e11	+	2.39753e11i	0.486063	+	0.254607i
$459$	−1.28352e12	+	1.92092e12i	−1.34972	+	2.02001i
$460$	3.51567e10	+	2.10340e12i	0.0366098	+	2.19034i
$461$	4.31459e11	+	8.58226e10i	0.444924	+	0.0885009i	0.412468	−	0.910972i	$-0.364667\pi$
$461$	4.31459e11	+	8.58226e10i	0.444924	+	0.0885009i	0.0324563	+	0.999473i	$0.489667\pi$
$462$	−1.23500e11	+	4.19720e11i	−0.126118	+	0.428618i
$463$	−1.20626e11	+	1.20626e11i	−0.121991	+	0.121991i	−0.765467	−	0.643476i	$-0.777492\pi$
$463$	−1.20626e11	+	1.20626e11i	−0.121991	+	0.121991i	0.643476	+	0.765467i	$0.277492\pi$
$464$	−1.00350e12	−	6.23040e11i	−1.00504	−	0.624001i
$465$	−6.51571e11	−	6.51571e11i	−0.646284	−	0.646284i
$466$	−1.27251e11	+	6.93906e10i	−0.125005	+	0.0681654i
$467$	−1.29226e11	+	6.49664e11i	−0.125726	+	0.632066i	0.865610	+	0.500718i	$0.166931\pi$
$467$	−1.29226e11	+	6.49664e11i	−0.125726	+	0.632066i	−0.991336	+	0.131348i	$0.958069\pi$
$468$	−1.86047e12	−	7.34451e11i	−1.79274	−	0.707711i
$469$	1.99092e11	+	1.33029e11i	0.190010	+	0.126961i
$470$	2.39044e12	−	7.47001e11i	2.25963	−	0.706123i
$471$	6.73306e11	+	2.78892e11i	0.630403	+	0.261121i
$472$	−3.13233e11	−	8.65062e10i	−0.290489	−	0.0802248i
$473$	−6.95931e11	+	2.88264e11i	−0.639280	+	0.264798i
$474$	−5.20142e11	−	6.23103e11i	−0.473281	−	0.566966i
$475$	1.85501e11	+	9.32577e11i	0.167196	+	0.840550i
$476$	1.77287e11	+	3.21943e10i	0.158287	+	0.0287441i
$477$	1.60309e12	+	2.39919e12i	1.41783	+	2.12194i
$478$	−9.98577e10	+	1.06784e10i	−0.0874895	+	0.00935577i
$479$			1.23476e12i			1.07170i	0.844312	+	0.535851i	$0.180009\pi$
$479$			1.23476e12i			1.07170i	−0.844312	+	0.535851i	$0.819991\pi$
$480$	1.83092e12	+	3.10595e12i	1.57429	+	2.67060i
$481$			3.43745e11i			0.292808i
$482$	−3.06495e10	−	2.86615e11i	−0.0258649	−	0.241873i
$483$	−2.32965e11	−	3.48656e11i	−0.194773	−	0.291498i
$484$	−1.63802e12	+	1.13454e12i	−1.35680	+	0.939756i
$485$	−5.64662e11	−	2.83875e12i	−0.463394	−	2.32964i
$486$	1.03795e12	−	8.66443e11i	0.843947	−	0.704493i
$487$	1.46064e12	−	6.05016e11i	1.17669	−	0.487401i	0.293292	−	0.956023i	$-0.405249\pi$
$487$	1.46064e12	−	6.05016e11i	1.17669	−	0.487401i	0.883399	+	0.468621i	$0.155249\pi$
$488$	−3.79503e11	+	4.70096e10i	−0.302919	+	0.0375230i
$489$	3.00238e12	+	1.24363e12i	2.37452	+	0.983559i
$490$	−6.37664e11	−	2.04055e12i	−0.499700	−	1.59906i
$491$	−6.05957e10	−	4.04888e10i	−0.0470517	−	0.0314389i	0.531822	−	0.846856i	$-0.321508\pi$
$491$	−6.05957e10	−	4.04888e10i	−0.0470517	−	0.0314389i	−0.578874	+	0.815417i	$0.696508\pi$
$492$	−7.50632e11	−	1.72984e12i	−0.577543	−	1.33095i
$493$	3.20797e11	−	1.61276e12i	0.244579	−	1.22958i
$494$	−2.37802e11	−	4.36091e11i	−0.179657	−	0.329462i
$495$	−5.98079e12	−	5.98079e12i	−4.47750	−	4.47750i
$496$	−1.64265e11	−	3.61867e11i	−0.121865	−	0.268461i
$497$	1.73252e11	−	1.73252e11i	0.127372	−	0.127372i
$498$	8.28867e11	+	2.43889e11i	0.603883	+	0.177689i
$499$	6.66401e11	+	1.32555e11i	0.481153	+	0.0957072i	0.429707	−	0.902969i	$-0.358617\pi$
$499$	6.66401e11	+	1.32555e11i	0.481153	+	0.0957072i	0.0514461	+	0.998676i	$0.483617\pi$
$500$	1.62052e12	+	1.56724e12i	1.15955	+	1.12143i
$501$	−1.15587e12	+	1.72989e12i	−0.819672	+	1.22673i
$502$	−8.40611e11	+	1.60479e12i	−0.590784	+	1.12785i
$503$	4.77640e11	−	1.15313e12i	0.332694	−	0.803195i	−0.665682	−	0.746235i	$-0.731859\pi$
$503$	4.77640e11	−	1.15313e12i	0.332694	−	0.803195i	0.998376	−	0.0569595i	$-0.0181406\pi$
$504$	−4.45625e11	−	2.24015e11i	−0.307632	−	0.154647i
$505$	−1.46571e12	−	3.53854e12i	−1.00285	−	2.42110i
$506$	2.75086e11	−	3.05445e12i	0.186548	−	2.07136i
$507$	−7.33059e11	+	1.45815e11i	−0.492724	+	0.0980088i
$508$	−6.26666e10	−	2.89659e11i	−0.0417493	−	0.192975i
$509$	1.82536e12	−	1.21966e12i	1.20536	−	0.805397i	0.219938	−	0.975514i	$-0.429414\pi$
$509$	1.82536e12	−	1.21966e12i	1.20536	−	0.805397i	0.985424	+	0.170116i	$0.0544144\pi$
$510$	−3.15164e12	+	3.90639e12i	−2.06286	+	2.55688i
$511$	−1.94962e11			−0.126490
$512$	2.68250e11	+	1.53163e12i	0.172514	+	0.985007i
$513$	1.58807e12			1.01238
$514$	1.29526e12	−	1.60545e12i	0.818510	−	1.01453i
$515$	5.86980e11	−	3.92207e11i	0.367698	−	0.245688i
$516$	−2.61639e11	−	1.20936e12i	−0.162472	−	0.750983i
$517$	−3.58087e12	+	7.12279e11i	−2.20435	+	0.438473i
$518$	−7.68848e9	+	8.53699e10i	−0.00469198	+	0.0520980i
$519$	1.85808e12	+	4.48580e12i	1.12412	+	2.71386i
$520$	−2.17077e12	−	1.09125e12i	−1.30197	−	0.654497i
$521$	9.91849e11	−	2.39454e12i	0.589761	−	1.42381i	−0.293971	−	0.955814i	$-0.594977\pi$
$521$	9.91849e11	−	2.39454e12i	0.589761	−	1.42381i	0.883732	−	0.467994i	$-0.155023\pi$
$522$	−2.11201e12	+	4.03197e12i	−1.24502	+	2.37684i
$523$	1.24447e12	−	1.86248e12i	0.727323	−	1.08852i	−0.264928	−	0.964268i	$-0.585348\pi$
$523$	1.24447e12	−	1.86248e12i	0.727323	−	1.08852i	0.992251	−	0.124247i	$-0.0396517\pi$
$524$	−2.28041e11	−	2.20543e11i	−0.132136	−	0.127792i
$525$	−9.09254e11	−	1.80862e11i	−0.522358	−	0.103904i
$526$	1.83954e12	+	5.41274e11i	1.04779	+	0.308306i
$527$	3.91199e11	−	3.91199e11i	0.220927	−	0.220927i
$528$	−2.17258e12	−	4.78606e12i	−1.21653	−	2.67994i
$529$	8.04809e11	+	8.04809e11i	0.446830	+	0.446830i
$530$	1.67801e12	+	3.07721e12i	0.923748	+	1.69401i
$531$	−2.44296e11	+	1.22816e12i	−0.133349	+	0.670392i
$532$	−4.93047e10	−	1.13623e11i	−0.0266861	−	0.0614985i
$533$	1.05656e12	+	7.05973e11i	0.567052	+	0.378892i
$534$	−1.47142e12	−	4.70861e12i	−0.783070	−	2.50586i
$535$	4.59845e12	+	1.90474e12i	2.42672	+	1.00518i
$536$	−2.85478e12	+	3.53626e11i	−1.49393	+	0.185056i
$537$	−9.08082e11	+	3.76140e11i	−0.471238	+	0.195193i
$538$	6.87508e11	−	5.73904e11i	0.353800	−	0.295338i
$539$	6.08024e11	+	3.05674e12i	0.310293	+	1.55995i
$540$	6.38574e12	−	4.42294e12i	3.23176	−	2.23841i
$541$	−1.66042e12	−	2.48499e12i	−0.833354	−	1.24720i	−0.966644	−	0.256125i	$-0.917554\pi$
$541$	−1.66042e12	−	2.48499e12i	−0.833354	−	1.24720i	0.133290	−	0.991077i	$-0.457446\pi$
$542$	−3.02807e11	−	2.83166e12i	−0.150719	−	1.40943i
$543$		−	3.52392e12i		−	1.73951i
$544$	−1.86479e12	+	1.09927e12i	−0.912925	+	0.538160i
$545$			6.35576e12i			3.08591i
$546$	4.81546e11	−	5.14946e10i	0.231884	−	0.0247968i
$547$	2.34698e11	+	3.51250e11i	0.112090	+	0.167754i	0.883273	−	0.468859i	$-0.155335\pi$
$547$	2.34698e11	+	3.51250e11i	0.112090	+	0.167754i	−0.771183	+	0.636613i	$0.780335\pi$
$548$	−3.87960e11	−	7.04515e10i	−0.183770	−	0.0333716i
$549$	2.87481e11	+	1.44526e12i	0.135062	+	0.679003i
$550$	−4.34501e12	−	5.20510e12i	−2.02469	−	2.42548i
$551$	−1.04428e12	+	4.32555e11i	−0.482653	+	0.199922i
$552$	4.85582e12	+	1.34104e12i	2.22606	+	0.614774i
$553$	1.26008e11	+	5.21941e10i	0.0572973	+	0.0237333i
$554$	1.27653e12	−	3.98910e11i	0.575755	−	0.179921i
$555$	−1.98528e12	−	1.32652e12i	−0.888183	−	0.593465i
$556$	−6.39835e11	−	2.52585e11i	−0.283943	−	0.112091i
$557$	−1.47316e11	+	7.40607e11i	−0.0648487	+	0.326016i	−0.999569	−	0.0293688i	$-0.990650\pi$
$557$	−1.47316e11	+	7.40607e11i	−0.0648487	+	0.326016i	0.934720	+	0.355385i	$0.115650\pi$
$558$	−1.34448e12	+	7.33150e11i	−0.587085	+	0.320139i
$559$	5.89594e11	+	5.89594e11i	0.255388	+	0.255388i
$560$	−5.14709e11	−	3.19567e11i	−0.221165	−	0.137314i
$561$	5.17400e12	−	5.17400e12i	2.20543	−	2.20543i
$562$	−1.15042e12	+	3.90973e12i	−0.486454	+	1.65323i
$563$	−2.02617e12	−	4.03030e11i	−0.849940	−	0.169063i	−0.249144	−	0.968466i	$-0.580149\pi$
$563$	−2.02617e12	−	4.03030e11i	−0.849940	−	0.169063i	−0.600795	+	0.799403i	$0.705149\pi$
$564$	−1.00225e11	−	5.99639e12i	−0.0417080	−	2.49536i
$565$	−2.05589e12	+	3.07685e12i	−0.848752	+	1.27025i
$566$	−2.18807e12	−	1.14614e12i	−0.896163	−	0.469424i
$567$	−2.68251e11	+	6.47614e11i	−0.108998	+	0.263144i
$568$	−2.14995e11	+	2.93564e12i	−0.0866686	+	1.18341i
$569$	−7.19824e11	−	1.73781e12i	−0.287886	−	0.695019i	0.712089	−	0.702090i	$-0.247749\pi$
$569$	−7.19824e11	−	1.73781e12i	−0.287886	−	0.695019i	−0.999975	+	0.00707051i	$0.997749\pi$
$570$	3.43629e12	+	3.09475e11i	1.36350	+	0.122797i
$571$	3.42755e12	−	6.81783e11i	1.34934	−	0.268401i	0.533071	−	0.846071i	$-0.321038\pi$
$571$	3.42755e12	−	6.81783e11i	1.34934	−	0.268401i	0.816271	+	0.577670i	$0.196038\pi$
$572$	2.97751e12	+	1.91831e12i	1.16298	+	0.749269i
$573$	3.80695e11	−	2.54372e11i	0.147530	−	0.0985766i
$574$	2.46610e11	+	1.98962e11i	0.0948214	+	0.0765009i
$575$	6.49843e12			2.47915
$576$	5.81082e12	−	1.46202e12i	2.19956	−	0.553418i
$577$	1.64208e12			0.616740			0.308370	−	0.951266i	$-0.400217\pi$
$577$	1.64208e12			0.616740			0.308370	+	0.951266i	$0.400217\pi$
$578$	−2.56974e11	−	2.07324e11i	−0.0957664	−	0.0772633i
$579$	5.35297e12	−	3.57674e12i	1.97943	−	1.32262i
$580$	−2.99441e12	+	4.64776e12i	−1.09872	+	1.70537i
$581$	−1.42395e11	+	2.83240e10i	−0.0518443	+	0.0103125i
$582$	−6.90301e12	−	6.21691e11i	−2.49394	−	0.224606i
$583$	−1.95538e12	−	4.72069e12i	−0.701006	−	1.69238i
$584$	1.77273e12	−	1.53079e12i	0.630643	−	0.544575i
$585$	−3.58286e12	+	8.64980e12i	−1.26482	+	3.05355i
$586$	−1.58288e12	−	8.29136e11i	−0.554509	−	0.290460i
$587$	−1.23672e12	+	1.85089e12i	−0.429933	+	0.643441i	−0.981672	−	0.190576i	$-0.938964\pi$
$587$	−1.23672e12	+	1.85089e12i	−0.429933	+	0.643441i	0.551739	+	0.834017i	$0.313964\pi$
$588$	−5.11871e12	+	8.55551e10i	−1.76588	+	0.0295154i
$589$	−3.72987e11	−	7.41917e10i	−0.127695	−	0.0254002i
$590$	−4.29364e11	+	1.45921e12i	−0.145878	+	0.495773i
$591$	−4.07581e12	+	4.07581e12i	−1.37426	+	1.37426i
$592$	−6.00392e11	−	8.36607e11i	−0.200903	−	0.279946i
$593$	−1.83902e12	−	1.83902e12i	−0.610717	−	0.610717i	0.332416	−	0.943133i	$-0.392136\pi$
$593$	−1.83902e12	−	1.83902e12i	−0.610717	−	0.610717i	−0.943133	+	0.332416i	$0.892136\pi$
$594$	−9.94209e12	+	5.42145e12i	−3.27672	+	1.78680i
$595$	1.64542e11	−	8.27209e11i	0.0538208	−	0.270576i
$596$	6.02579e11	−	1.52642e12i	0.195617	−	0.495525i
$597$	−6.14584e12	−	4.10652e12i	−1.98014	−	1.32309i
$598$	−3.24020e12	+	1.01255e12i	−1.03613	+	0.323787i
$599$	1.58519e12	+	6.56609e11i	0.503108	+	0.208394i	0.619779	−	0.784776i	$-0.287222\pi$
$599$	1.58519e12	+	6.56609e11i	0.503108	+	0.208394i	−0.116671	+	0.993171i	$0.537222\pi$
$600$	9.68762e12	−	5.49469e12i	3.05166	−	1.73086i
$601$	3.99363e12	−	1.65422e12i	1.24863	−	0.517198i	0.342227	−	0.939617i	$-0.388819\pi$
$601$	3.99363e12	−	1.65422e12i	1.24863	−	0.517198i	0.906401	+	0.422419i	$0.138819\pi$
$602$	1.33240e11	+	1.59614e11i	0.0413475	+	0.0495322i
$603$	2.16255e12	+	1.08719e13i	0.666099	+	3.34871i
$604$	−1.76088e11	+	9.69676e11i	−0.0538348	+	0.296456i
$605$	5.18166e12	+	7.75490e12i	1.57242	+	2.35330i
$606$	−9.11969e12	+	9.75223e11i	−2.74697	+	0.293749i
$607$		−	1.14163e12i		−	0.341332i	−0.985329	−	0.170666i	$-0.945408\pi$
$607$		−	1.14163e12i		−	0.341332i	0.985329	−	0.170666i	$-0.0545920\pi$
$608$	1.34045e12	+	6.46010e11i	0.397817	+	0.191722i
$609$		−	1.10205e12i		−	0.324657i
$610$	1.90325e11	+	1.77980e12i	0.0556559	+	0.520461i
$611$	2.24528e12	+	3.36030e12i	0.651756	+	0.975421i
$612$	4.74957e12	+	6.85731e12i	1.36859	+	1.97593i
$613$	−1.60315e11	−	8.05956e11i	−0.0458565	−	0.230536i	0.951060	−	0.309006i	$-0.0999965\pi$
$613$	−1.60315e11	−	8.05956e11i	−0.0458565	−	0.230536i	−0.996916	+	0.0784702i	$0.974996\pi$
$614$	3.79677e12	−	3.16939e12i	1.07809	−	0.899949i
$615$	−8.15460e12	+	3.37774e12i	−2.29861	+	0.952113i
$616$	6.96564e11	+	5.43015e11i	0.194916	+	0.151949i
$617$	−2.12273e12	−	8.79265e11i	−0.589674	−	0.244251i	0.0678362	−	0.997696i	$-0.478390\pi$
$617$	−2.12273e12	−	8.79265e11i	−0.589674	−	0.244251i	−0.657511	+	0.753445i	$0.728390\pi$
$618$	−5.04229e11	−	1.61356e12i	−0.139053	−	0.444976i
$619$	3.16308e12	+	2.11350e12i	0.865968	+	0.578621i	0.907281	−	0.420525i	$-0.138154\pi$
$619$	3.16308e12	+	2.11350e12i	0.865968	+	0.578621i	−0.0413131	+	0.999146i	$0.513154\pi$
$620$	−1.70643e12	+	7.40477e11i	−0.463796	+	0.201256i
$621$	2.11740e12	−	1.06449e13i	0.571336	−	2.87230i
$622$	−4.62353e11	−	8.47883e11i	−0.123856	−	0.227132i
$623$	5.86157e11	+	5.86157e11i	0.155890	+	0.155890i
$624$	−3.97422e12	+	4.24919e12i	−1.04935	+	1.12196i
$625$	2.22688e12	−	2.22688e12i	0.583762	−	0.583762i
$626$	−2.03858e12	−	5.99840e11i	−0.530570	−	0.156117i
$627$	−4.93313e12	−	9.81261e11i	−1.27473	−	0.253560i
$628$	1.02277e12	−	1.05754e12i	0.262397	−	0.271317i
$629$	7.96434e11	−	1.19195e12i	0.202872	−	0.303619i
$630$	−1.08328e12	+	2.06806e12i	−0.273974	+	0.523035i
$631$	−4.86010e11	+	1.17333e12i	−0.122043	+	0.294638i	−0.973080	−	0.230468i	$-0.925974\pi$
$631$	−4.86010e11	+	1.17333e12i	−0.122043	+	0.294638i	0.851037	+	0.525106i	$0.175974\pi$
$632$	−1.55556e12	+	5.14794e11i	−0.387846	+	0.128353i
$633$	2.91672e12	+	7.04159e12i	0.722068	+	1.74323i
$634$	−2.86917e11	+	3.18581e12i	−0.0705268	+	0.783102i
$635$	−1.36055e12	+	2.70630e11i	−0.332072	+	0.0660532i
$636$	8.20339e12	−	1.77477e12i	1.98809	−	0.430115i
$637$	2.86846e12	−	1.91664e12i	0.690273	−	0.461226i
$638$	5.06101e12	−	6.27303e12i	1.20933	−	1.49894i
$639$	1.13427e13			2.69130
$640$	7.18922e12	−	1.13564e12i	1.69384	−	0.267565i
$641$	−1.16647e12			−0.272906			−0.136453	−	0.990647i	$-0.543570\pi$
$641$	−1.16647e12			−0.272906			−0.136453	+	0.990647i	$0.543570\pi$
$642$	7.48402e12	−	9.27630e12i	1.73871	−	2.15510i
$643$	2.74751e12	−	1.83583e12i	0.633855	−	0.423529i	−0.196701	−	0.980464i	$-0.563023\pi$
$643$	2.74751e12	−	1.83583e12i	0.633855	−	0.423529i	0.830556	+	0.556935i	$0.188023\pi$
$644$	−8.27358e11	+	1.78995e11i	−0.189543	+	0.0410068i
$645$	−5.68041e12	+	1.12990e12i	−1.29229	+	0.257053i
$646$	−1.85807e11	+	2.06313e12i	−0.0419774	+	0.466101i
$647$	−8.35239e11	−	2.01645e12i	−0.187388	−	0.452395i	0.802067	−	0.597234i	$-0.203734\pi$
$647$	−8.35239e11	−	2.01645e12i	−0.187388	−	0.452395i	−0.989455	+	0.144839i	$0.953734\pi$
$648$	−2.64577e12	−	7.99476e12i	−0.589474	−	1.78122i
$649$	8.48578e11	−	2.04865e12i	0.187755	−	0.453280i
$650$	−3.48251e12	+	6.64836e12i	−0.765213	+	1.46085i
$651$	2.05996e11	−	3.08295e11i	0.0449516	−	0.0672748i
$652$	4.56069e12	−	4.71574e12i	0.988362	−	1.02196i
$653$	−8.17227e12	−	1.62557e12i	−1.75887	−	0.349861i	−0.793065	−	0.609137i	$-0.791516\pi$
$653$	−8.17227e12	−	1.62557e12i	−1.75887	−	0.349861i	−0.965803	+	0.259277i	$0.916516\pi$
$654$	1.46008e13	+	4.29620e12i	3.12088	+	0.918301i
$655$	−1.05001e12	+	1.05001e12i	−0.222899	+	0.222899i
$656$	−3.80453e12	+	1.27215e11i	−0.802110	+	0.0268207i
$657$	−6.38203e12	−	6.38203e12i	−1.33633	−	1.33633i
$658$	4.82461e11	+	8.84757e11i	0.100333	+	0.183996i
$659$	−9.61349e11	+	4.83303e12i	−0.198562	+	0.998240i	0.745005	+	0.667059i	$0.232447\pi$
$659$	−9.61349e11	+	4.83303e12i	−0.198562	+	0.998240i	−0.943567	+	0.331181i	$0.892553\pi$
$660$	−2.25693e13	+	9.79356e12i	−4.62990	+	2.00906i
$661$	−3.30214e11	−	2.20642e11i	−0.0672805	−	0.0449554i	0.521475	−	0.853266i	$-0.325382\pi$
$661$	−3.30214e11	−	2.20642e11i	−0.0672805	−	0.0449554i	−0.588756	+	0.808311i	$0.700382\pi$
$662$	2.07410e12	+	6.63721e12i	0.419728	+	1.34315i
$663$	−7.48297e12	−	3.09955e12i	−1.50405	−	0.622999i
$664$	1.07235e12	−	1.37558e12i	0.214083	−	0.274619i
$665$	−5.35628e11	+	2.21864e11i	−0.106210	+	0.0439937i
$666$	−3.04624e12	+	2.54288e12i	−0.599971	+	0.500832i
$667$	1.50708e12	+	7.57658e12i	0.294828	+	1.48220i
$668$	2.39142e12	+	3.45267e12i	0.464687	+	0.670905i
$669$	−3.76161e11	−	5.62964e11i	−0.0726032	−	0.108658i
$670$	1.43170e12	+	1.33884e13i	0.274484	+	2.56681i
$671$		−	2.60943e12i		−	0.496929i
$672$	−1.08205e12	+	9.66406e11i	−0.204684	+	0.182809i
$673$			6.54337e11i			0.122951i	0.998109	+	0.0614757i	$0.0195807\pi$
$673$			6.54337e11i			0.122951i	−0.998109	+	0.0614757i	$0.980419\pi$
$674$	−1.74244e12	+	1.86330e11i	−0.325229	+	0.0347786i
$675$	−1.33311e13	−	1.99515e13i	−2.47173	−	3.69920i
$676$	−2.69587e11	+	1.48455e12i	−0.0496522	+	0.273423i
$677$	−6.77519e11	−	3.40612e12i	−0.123957	−	0.623176i	−0.991953	−	0.126604i	$-0.959592\pi$
$677$	−6.77519e11	−	3.40612e12i	−0.123957	−	0.623176i	0.867996	−	0.496571i	$-0.165408\pi$
$678$	5.67863e12	+	6.80271e12i	1.03207	+	1.23637i
$679$	1.07600e12	−	4.45693e11i	0.194266	−	0.0804678i
$680$	4.99888e12	+	8.81346e12i	0.896567	+	1.58073i
$681$	1.35264e13	+	5.60284e12i	2.41003	+	0.998265i
$682$	2.58835e12	−	8.08849e11i	0.458136	−	0.143165i
$683$	1.05675e11	+	7.06098e10i	0.0185814	+	0.0124157i	0.564826	−	0.825210i	$-0.308943\pi$
$683$	1.05675e11	+	7.06098e10i	0.0185814	+	0.0124157i	−0.546245	+	0.837626i	$0.683943\pi$
$684$	2.10544e12	−	5.33339e12i	0.367783	−	0.931646i
$685$	−3.60070e11	+	1.81020e12i	−0.0624856	+	0.314136i
$686$	1.52833e12	−	8.33404e11i	0.263487	−	0.143680i
$687$	−4.09526e12	−	4.09526e12i	−0.701416	−	0.701416i
$688$	−2.46475e12	−	4.05159e11i	−0.419397	−	0.0689410i
$689$	−3.99938e12	+	3.99938e12i	−0.676092	+	0.676092i
$690$	6.65609e12	−	2.26210e13i	1.11789	−	3.79918i
$691$	4.92881e12	+	9.80401e11i	0.822415	+	0.163588i	0.588323	−	0.808626i	$-0.299788\pi$
$691$	4.92881e12	+	9.80401e11i	0.822415	+	0.163588i	0.234092	+	0.972215i	$0.424788\pi$
$692$	9.80031e12	−	1.63804e11i	1.62466	−	0.0271549i
$693$	1.89085e12	−	2.82985e12i	0.311427	−	0.466084i
$694$	−4.31374e12	−	2.25960e12i	−0.705889	−	0.369755i
$695$	−1.23218e12	+	2.97476e12i	−0.200329	+	0.483637i
$696$	8.65301e12	+	1.00206e13i	1.39774	+	1.61865i
$697$	−2.02798e12	−	4.89597e12i	−0.325473	−	0.785762i
$698$	−7.55926e12	−	6.80793e11i	−1.20540	−	0.108559i
$699$	1.59340e12	−	3.16947e11i	0.252451	−	0.0502157i
$700$	−1.01359e12	+	1.57324e12i	−0.159559	+	0.247660i
$701$	5.11867e12	−	3.42019e12i	0.800619	−	0.534957i	−0.0866334	−	0.996240i	$-0.527611\pi$
$701$	5.11867e12	−	3.42019e12i	0.800619	−	0.534957i	0.887253	+	0.461283i	$0.152611\pi$
$702$	9.75579e12	+	7.87087e12i	1.51616	+	1.22322i
$703$	−9.85411e11			−0.152166
$704$	−1.05972e13	+	5.31768e11i	−1.62598	+	0.0815916i
$705$	−2.80717e13			−4.27975
$706$	2.88842e12	+	2.33035e12i	0.437561	+	0.353020i
$707$	1.28144e12	−	8.56233e11i	0.192891	−	0.128886i
$708$	3.06194e12	+	1.97272e12i	0.457981	+	0.295063i
$709$	−3.15981e12	+	6.28525e11i	−0.469627	+	0.0934145i	−0.424230	−	0.905555i	$-0.639455\pi$
$709$	−3.15981e12	+	6.28525e11i	−0.469627	+	0.0934145i	−0.0453966	+	0.998969i	$0.514455\pi$
$710$	1.37224e13	+	1.23585e12i	2.02659	+	0.182517i
$711$	2.41627e12	+	5.83338e12i	0.354594	+	0.856066i
$712$	−9.93207e12	−	7.27388e11i	−1.44837	−	0.106073i
$713$	−9.94619e11	+	2.40122e12i	−0.144130	+	0.347960i
$714$	−1.78909e12	−	9.37151e11i	−0.257626	−	0.134948i
$715$	9.21089e12	−	1.37851e13i	1.31803	−	1.97257i
$716$	3.31597e10	+	1.98392e12i	0.00471522	+	0.282108i
$717$	1.10404e12	+	2.19607e11i	0.156008	+	0.0310320i
$718$	8.85500e11	−	3.00940e12i	0.124345	−	0.422591i
$719$	−1.48368e12	+	1.48368e12i	−0.207043	+	0.207043i	−0.803009	−	0.595966i	$-0.796769\pi$
$719$	−1.48368e12	+	1.48368e12i	−0.207043	+	0.207043i	0.595966	+	0.803009i	$0.296769\pi$
$720$	−6.38792e12	−	2.73098e13i	−0.885856	−	3.78723i
$721$	2.00866e11	+	2.00866e11i	0.0276820	+	0.0276820i
$722$	−5.16030e12	+	2.81393e12i	−0.706737	+	0.385386i
$723$	−6.30323e11	+	3.16885e12i	−0.0857908	+	0.431300i
$724$	−6.61687e12	−	2.61212e12i	−0.895012	−	0.353321i
$725$	1.42006e13	+	9.48853e12i	1.90891	+	1.27549i
$726$	2.13176e13	−	6.66164e12i	2.84789	−	0.889951i
$727$	−5.69618e12	−	2.35944e12i	−0.756274	−	0.313259i	−0.0289754	−	0.999580i	$-0.509224\pi$
$727$	−5.69618e12	−	2.35944e12i	−0.756274	−	0.313259i	−0.727299	+	0.686321i	$0.759224\pi$
$728$	2.60256e11	−	9.42372e11i	0.0343408	−	0.124346i
$729$	−7.83122e11	+	3.24380e11i	−0.102696	+	0.0425383i
$730$	−7.02563e12	−	8.41634e12i	−0.915656	−	1.09691i
$731$	−6.78387e11	−	3.41048e12i	−0.0878718	−	0.441761i
$732$	4.21732e12	+	7.65841e11i	0.542920	+	0.0985913i
$733$	1.00840e11	+	1.50918e11i	0.0129023	+	0.0193096i	0.837865	−	0.545878i	$-0.183804\pi$
$733$	1.00840e11	+	1.50918e11i	0.0129023	+	0.0193096i	−0.824962	+	0.565188i	$0.808804\pi$
$734$	−9.83879e12	+	1.05212e12i	−1.25115	+	0.133793i
$735$			2.39629e13i			3.02864i
$736$	6.11746e12	−	8.12373e12i	0.768460	−	1.02048i
$737$		−	1.96292e13i		−	2.45075i
$738$	1.55973e12	+	1.45857e13i	0.193551	+	1.80997i
$739$	−2.45771e12	−	3.67822e12i	−0.303131	−	0.453667i	0.648365	−	0.761330i	$-0.275453\pi$
$739$	−2.45771e12	−	3.67822e12i	−0.303131	−	0.453667i	−0.951496	+	0.307663i	$0.900453\pi$
$740$	−3.96240e12	+	2.74447e12i	−0.485753	+	0.336446i
$741$	1.08618e12	+	5.46059e12i	0.132349	+	0.665362i
$742$	−1.08271e12	+	9.03802e11i	−0.131128	+	0.109460i
$743$	1.78684e12	−	7.40133e11i	0.215098	−	0.0890964i	−0.272533	−	0.962146i	$-0.587861\pi$
$743$	1.78684e12	−	7.40133e11i	0.215098	−	0.0890964i	0.487630	+	0.873050i	$0.337861\pi$
$744$	5.47592e11	+	4.42065e12i	0.0655208	+	0.528941i
$745$	−7.09671e12	−	2.93955e12i	−0.844022	−	0.349605i
$746$	−4.19895e12	−	1.34368e13i	−0.496382	−	1.58845i
$747$	−5.58842e12	−	3.73406e12i	−0.656669	−	0.438772i
$748$	−5.87999e12	−	1.35505e13i	−0.686783	−	1.58270i
$749$	−3.90729e11	+	1.96433e12i	−0.0453636	+	0.228058i
$750$	−1.20976e13	−	2.21851e13i	−1.39612	−	2.56027i
$751$	8.77897e12	+	8.77897e12i	1.00708	+	1.00708i	0.999975	+	0.00710526i	$0.00226169\pi$
$751$	8.77897e12	+	8.77897e12i	1.00708	+	1.00708i	0.00710526	+	0.999975i	$0.497738\pi$
$752$	−1.13337e13	−	4.25665e12i	−1.29239	−	0.485387i
$753$	1.43586e13	−	1.43586e13i	1.62755	−	1.62755i
$754$	−8.55904e12	−	2.51845e12i	−0.964393	−	0.283767i
$755$	4.52444e12	+	8.99968e11i	0.506762	+	0.100801i
$756$	2.24683e12	+	2.17296e12i	0.250162	+	0.241937i
$757$	−1.69402e11	+	2.53527e11i	−0.0187493	+	0.0280604i	−0.840726	−	0.541461i	$-0.817871\pi$
$757$	−1.69402e11	+	2.53527e11i	−0.0187493	+	0.0280604i	0.821977	+	0.569521i	$0.192871\pi$
$758$	7.17926e12	−	1.37057e13i	0.789893	−	1.50796i
$759$	−1.31549e13	+	3.17586e13i	−1.43879	+	3.47355i
$760$	3.12827e12	−	6.22294e12i	0.340128	−	0.676604i
$761$	3.35216e12	+	8.09283e12i	0.362321	+	0.874721i	0.994960	+	0.100274i	$0.0319719\pi$
$761$	3.35216e12	+	8.09283e12i	0.362321	+	0.874721i	−0.632638	+	0.774447i	$0.718028\pi$
$762$	−2.97962e11	+	3.30846e12i	−0.0320158	+	0.355491i
$763$	−2.50833e12	+	4.98938e11i	−0.267932	+	0.0532950i
$764$	−1.95444e11	−	9.03386e11i	−0.0207540	−	0.0959297i
$765$	3.24647e13	−	2.16922e13i	3.42716	−	2.28996i
$766$	−7.05874e12	+	8.74918e12i	−0.740795	+	0.918201i
$767$	−2.45453e12			−0.256088
$768$	2.25074e12	−	1.72831e13i	0.233454	−	1.79266i
$769$	1.18580e13			1.22277			0.611383	−	0.791335i	$-0.290613\pi$
$769$	1.18580e13			1.22277			0.611383	+	0.791335i	$0.290613\pi$
$770$	2.59587e12	−	3.21754e12i	0.266119	−	0.329849i
$771$	−1.92249e13	+	1.28457e13i	−1.95939	+	1.30922i
$772$	−2.74814e12	−	1.27025e13i	−0.278459	−	1.28710i
$773$	−1.21842e12	+	2.42358e11i	−0.122741	+	0.0244147i	−0.256078	−	0.966656i	$-0.582431\pi$
$773$	−1.21842e12	+	2.42358e11i	−0.122741	+	0.0244147i	0.133338	+	0.991071i	$0.457431\pi$
$774$	−8.63367e11	+	9.58649e12i	−0.0864691	+	0.960120i
$775$	2.19896e12	+	5.30876e12i	0.218957	+	0.528610i
$776$	−6.28423e12	+	1.25010e13i	−0.622121	+	1.23756i
$777$	3.67670e11	−	8.87633e11i	0.0361879	−	0.0873653i
$778$	−1.67889e12	+	3.20512e12i	−0.164291	+	0.313643i
$779$	−2.02381e12	+	3.02884e12i	−0.196902	+	0.294685i
$780$	1.95759e13	+	1.89323e13i	1.89363	+	1.83137i
$781$	−1.96998e13	−	3.91853e12i	−1.89466	−	0.376872i
$782$	1.35815e13	+	3.99627e12i	1.29872	+	0.382142i
$783$	2.01699e13	−	2.01699e13i	1.91768	−	1.91768i
$784$	−3.63361e12	+	9.67483e12i	−0.343492	+	0.914578i
$785$	−4.86941e12	−	4.86941e12i	−0.457681	−	0.457681i
$786$	1.70238e12	+	3.12190e12i	0.159095	+	0.291754i
$787$	2.81950e12	−	1.41746e13i	0.261990	−	1.31711i	−0.595808	−	0.803127i	$-0.703168\pi$
$787$	2.81950e12	−	1.41746e13i	0.261990	−	1.31711i	0.857798	−	0.513987i	$-0.171832\pi$
$788$	4.63194e12	+	1.06744e13i	0.427952	+	0.986220i
$789$	−1.78709e13	−	1.19409e13i	−1.64172	−	1.09696i
$790$	2.28762e12	+	7.32050e12i	0.208959	+	0.668680i
$791$	−1.37569e12	−	5.69828e11i	−0.124947	−	0.0517546i
$792$	5.02637e12	+	4.05773e13i	0.453932	+	3.66454i
$793$	−2.66856e12	+	1.10536e12i	−0.239634	+	0.0992596i
$794$	−9.38765e11	+	7.83644e11i	−0.0838233	+	0.0699724i
$795$	−7.66445e12	−	3.85318e13i	−0.680502	−	3.42111i
$796$	−1.22664e13	+	8.49609e12i	−1.08295	+	0.750084i
$797$	−8.93106e12	−	1.33663e13i	−0.784045	−	1.17341i	−0.981192	−	0.193032i	$-0.938168\pi$
$797$	−8.93106e12	−	1.33663e13i	−0.784045	−	1.17341i	0.197148	−	0.980374i	$-0.436832\pi$
$798$	1.47619e11	+	1.38045e12i	0.0128863	+	0.120505i
$799$		−	1.68541e13i		−	1.46300i
$800$	−3.13641e12	−	2.22634e13i	−0.270725	−	1.92171i
$801$			3.83754e13i			3.29387i
$802$	5.93731e12	−	6.34911e11i	0.506763	−	0.0541912i
$803$	8.87943e12	+	1.32890e13i	0.753642	+	1.12790i
$804$	3.17244e13	+	5.76098e12i	2.67757	+	0.486233i
$805$	7.73003e11	+	3.88615e12i	0.0648784	+	0.326166i
$806$	−1.92361e12	−	2.30438e12i	−0.160549	−	0.192330i
$807$	−9.27408e12	+	3.84145e12i	−0.769733	+	0.318834i
$808$	−4.92883e12	+	1.78470e13i	−0.406811	+	1.47304i
$809$	−7.46223e12	−	3.09096e12i	−0.612492	−	0.253703i	0.0548015	−	0.998497i	$-0.482547\pi$
$809$	−7.46223e12	−	3.09096e12i	−0.612492	−	0.253703i	−0.667294	+	0.744795i	$0.732547\pi$
$810$	−3.76235e13	+	1.17572e13i	−3.07098	+	0.959667i
$811$	1.75080e13	+	1.16985e13i	1.42116	+	0.949587i	0.999074	+	0.0430306i	$0.0137013\pi$
$811$	1.75080e13	+	1.16985e13i	1.42116	+	0.949587i	0.422084	+	0.906557i	$0.361299\pi$
$812$	−2.06933e12	−	8.16901e11i	−0.167043	−	0.0659428i
$813$	−6.22739e12	+	3.13072e13i	−0.499918	+	2.51326i
$814$	6.16914e12	−	3.36406e12i	0.492510	−	0.268567i
$815$	−2.17135e13	−	2.17135e13i	−1.72394	−	1.72394i
$816$	2.36258e13	−	5.52621e12i	1.86544	−	0.436337i
$817$	−1.69018e12	+	1.69018e12i	−0.132719	+	0.132719i
$818$	1.41136e12	−	4.79655e12i	0.110217	−	0.374575i
$819$	−3.69495e12	−	7.34971e11i	−0.286966	−	0.0570811i
$820$	2.97775e11	+	1.78157e13i	0.0229999	+	1.37607i
$821$	−2.90890e12	+	4.35348e12i	−0.223452	+	0.334420i	−0.926209	−	0.377010i	$-0.876952\pi$
$821$	−2.90890e12	+	4.35348e12i	−0.223452	+	0.334420i	0.702757	+	0.711430i	$0.251952\pi$
$822$	3.91509e12	+	2.05078e12i	0.299102	+	0.156674i
$823$	2.43603e12	−	5.88110e12i	0.185090	−	0.446848i	−0.803912	−	0.594748i	$-0.797252\pi$
$823$	2.43603e12	−	5.88110e12i	0.185090	−	0.446848i	0.989002	+	0.147901i	$0.0472516\pi$
$824$	−3.40354e12	−	2.49263e11i	−0.257193	−	0.0188359i
$825$	2.90835e13	+	7.02138e13i	2.18577	+	5.27691i
$826$	−6.09590e11	−	5.49001e10i	−0.0455646	−	0.00410358i
$827$	1.79165e13	−	3.56382e12i	1.33192	−	0.264936i	0.522740	−	0.852492i	$-0.324910\pi$
$827$	1.79165e13	−	3.56382e12i	1.33192	−	0.264936i	0.809183	+	0.587556i	$0.199910\pi$
$828$	−3.29427e13	−	2.12240e13i	−2.43569	−	1.56924i
$829$	−1.57827e13	+	1.05456e13i	−1.16061	+	0.775492i	−0.978186	−	0.207729i	$-0.933393\pi$
$829$	−1.57827e13	+	1.05456e13i	−1.16061	+	0.775492i	−0.182419	+	0.983221i	$0.558393\pi$
$830$	−6.35403e12	−	5.12636e12i	−0.464727	−	0.374936i
$831$	−1.49908e13			−1.09048
$832$	5.03281e12	+	1.06121e13i	0.364129	+	0.767799i
$833$	−1.43872e13			−1.03532
$834$	6.00087e12	+	4.84144e12i	0.429504	+	0.346519i
$835$	1.63460e13	−	1.09221e13i	1.16365	−	0.777527i
$836$	−5.49922e12	+	8.53559e12i	−0.389379	+	0.604373i
$837$	9.41263e12	−	1.87229e12i	0.662898	−	0.131859i
$838$	−6.72301e11	−	6.05479e10i	−0.0470940	−	0.00424132i
$839$	−2.06174e12	−	4.97748e12i	−0.143650	−	0.346801i	0.835636	−	0.549283i	$-0.185099\pi$
$839$	−2.06174e12	−	4.97748e12i	−0.143650	−	0.346801i	−0.979286	+	0.202482i	$0.935099\pi$
$840$	4.43827e12	+	5.13972e12i	0.307579	+	0.356191i
$841$	−2.21782e12	+	5.35430e12i	−0.152878	+	0.369080i
$842$	6.44722e12	+	3.37715e12i	0.442047	+	0.231551i
$843$	2.53791e13	−	3.79825e13i	1.73082	−	2.59035i
$844$	1.53840e13	−	2.57132e11i	1.04359	−	0.0174427i
$845$	6.92682e12	+	1.37783e12i	0.467389	+	0.0929695i
$846$	−1.31691e13	+	4.47555e13i	−0.883869	+	3.00386i
$847$	−2.65374e12	+	2.65374e12i	−0.177167	+	0.177167i
$848$	2.74830e12	−	1.67191e13i	0.182509	−	1.11028i
$849$	1.95774e13	+	1.95774e13i	1.29321	+	1.29321i
$850$	2.74795e13	−	1.49847e13i	1.80561	−	0.984605i
$851$	−1.31387e12	+	6.60525e12i	−0.0858752	+	0.431724i
$852$	1.21148e13	−	3.06884e13i	0.787656	−	1.99525i
$853$	−1.01371e13	−	6.77338e12i	−0.655605	−	0.438061i	0.182770	−	0.983156i	$-0.441494\pi$
$853$	−1.01371e13	−	6.77338e12i	−0.655605	−	0.438061i	−0.838375	+	0.545095i	$0.816494\pi$
$854$	−6.87468e11	+	2.14830e11i	−0.0442274	+	0.0138209i
$855$	−2.47963e13	−	1.02710e13i	−1.58686	−	0.657300i
$856$	−1.18706e13	−	2.09289e13i	−0.755683	−	1.33234i
$857$	−2.71804e12	+	1.12585e12i	−0.172124	+	0.0712962i	−0.467082	−	0.884214i	$-0.654695\pi$
$857$	−2.71804e12	+	1.12585e12i	−0.172124	+	0.0712962i	0.294957	+	0.955510i	$0.404695\pi$
$858$	−2.54417e13	−	3.04778e13i	−1.60270	−	1.91996i
$859$	1.79370e12	+	9.01755e12i	0.112404	+	0.565092i	0.995408	+	0.0957264i	$0.0305174\pi$
$859$	1.79370e12	+	9.01755e12i	0.112404	+	0.565092i	−0.883004	+	0.469366i	$0.844483\pi$
$860$	−2.08900e12	+	1.15037e13i	−0.130225	+	0.717123i
$861$	−1.97319e12	−	2.95309e12i	−0.122365	−	0.183131i
$862$	6.95784e12	−	7.44043e11i	0.429232	−	0.0459003i
$863$		−	2.05997e13i		−	1.26419i	−0.774892	−	0.632094i	$-0.782196\pi$
$863$		−	2.05997e13i		−	1.26419i	0.774892	−	0.632094i	$-0.217804\pi$
$864$	−3.74911e13	−	2.11648e12i	−2.28884	−	0.129212i
$865$		−	4.58796e13i		−	2.78642i
$866$	−7.82344e11	−	7.31601e12i	−0.0472680	−	0.442022i
$867$	2.05612e12	+	3.07720e12i	0.123584	+	0.184957i
$868$	−4.26191e11	−	6.15324e11i	−0.0254839	−	0.0367930i
$869$	−2.18129e12	−	1.09661e13i	−0.129755	−	0.652322i
$870$	4.75747e13	−	3.97134e13i	2.81539	−	2.35018i
$871$	−2.00741e13	+	8.31495e12i	−1.18183	+	0.489528i
$872$	1.88899e13	−	2.42314e13i	1.10638	−	1.41923i
$873$	4.98122e13	+	2.06329e13i	2.90249	+	1.20225i
$874$	−2.90266e12	−	9.28865e12i	−0.168265	−	0.538457i
$875$	3.53054e12	+	2.35903e12i	0.203613	+	0.136050i
$876$	−2.40835e13	+	1.04506e13i	−1.38182	+	0.599615i
$877$	2.93034e12	−	1.47318e13i	0.167271	−	0.840926i	−0.802452	−	0.596717i	$-0.796472\pi$
$877$	2.93034e12	−	1.47318e13i	0.167271	−	0.840926i	0.969722	−	0.244209i	$-0.0785285\pi$
$878$	−8.89569e12	−	1.63133e13i	−0.505190	−	0.926438i
$879$	1.41626e13	+	1.41626e13i	0.800189	+	0.800189i
$880$	1.65978e12	+	4.96380e13i	0.0932995	+	2.79025i
$881$	−1.71884e13	+	1.71884e13i	−0.961269	+	0.961269i	−0.999277	−	0.0380084i	$-0.987899\pi$
$881$	−1.71884e13	+	1.71884e13i	−0.961269	+	0.961269i	0.0380084	+	0.999277i	$0.487899\pi$
$882$	3.82047e13	+	1.12415e13i	2.12573	+	0.625485i
$883$	−2.72495e13	−	5.42026e12i	−1.50846	−	0.300052i	−0.629523	−	0.776982i	$-0.716750\pi$
$883$	−2.72495e13	−	5.42026e12i	−1.50846	−	0.300052i	−0.878941	+	0.476930i	$0.841750\pi$
$884$	−1.13668e13	+	1.17532e13i	−0.626042	+	0.647325i
$885$	9.47210e12	−	1.41760e13i	0.519041	−	0.776799i
$886$	−1.55699e13	+	2.97241e13i	−0.848858	+	1.62053i
$887$	5.74181e12	−	1.38620e13i	0.311453	−	0.751914i	−0.688199	−	0.725522i	$-0.741598\pi$
$887$	5.74181e12	−	1.38620e13i	0.311453	−	0.751914i	0.999652	−	0.0263919i	$-0.00840177\pi$
$888$	3.62635e12	+	1.09578e13i	0.195709	+	0.591377i
$889$	−2.13611e11	−	5.15702e11i	−0.0114700	−	0.0276911i
$890$	−4.18121e12	+	4.64265e13i	−0.223381	+	2.48034i
$891$	5.63599e13	−	1.12107e13i	2.99586	−	0.595913i
$892$	−1.33591e12	+	2.89019e11i	−0.0706538	+	0.0152857i
$893$	−9.63294e12	+	6.43652e12i	−0.506906	+	0.338704i
$894$	−1.15500e13	+	1.43160e13i	−0.604730	+	0.749551i
$895$	9.28762e12			0.483839
$896$	1.01255e12	+	2.74811e12i	0.0524845	+	0.142446i
$897$	3.80508e13			1.96244
$898$	1.05121e13	−	1.30296e13i	0.539444	−	0.668630i
$899$	−5.67957e12	+	3.79497e12i	−0.289999	+	0.193771i
$900$	−8.46794e13	+	1.83200e13i	−4.30216	+	0.930754i
$901$	2.31343e13	−	4.60169e12i	1.16948	−	0.232625i
$902$	2.32996e12	−	2.58710e13i	0.117198	−	1.30132i
$903$	−8.91845e11	−	2.15310e12i	−0.0446369	−	0.107763i
$904$	1.69828e13	−	5.62024e12i	0.845766	−	0.279896i
$905$	−1.27427e13	+	3.07635e13i	−0.631454	+	1.52446i
$906$	5.12577e12	−	9.78547e12i	0.252745	−	0.482508i
$907$	−1.45384e13	+	2.17583e13i	−0.713321	+	1.06756i	0.280851	+	0.959751i	$0.409383\pi$
$907$	−1.45384e13	+	2.17583e13i	−0.713321	+	1.06756i	−0.994172	+	0.107808i	$0.965617\pi$
$908$	2.05470e13	−	2.12455e13i	1.00314	−	1.03724i
$909$	6.99762e13	+	1.39191e13i	3.39948	+	0.676199i
$910$	−4.39007e12	−	1.29175e12i	−0.212219	−	0.0624443i
$911$	−6.79539e12	+	6.79539e12i	−0.326875	+	0.326875i	−0.851397	−	0.524522i	$-0.824244\pi$
$911$	−6.79539e12	+	6.79539e12i	−0.326875	+	0.326875i	0.524522	+	0.851397i	$0.324244\pi$
$912$	−1.21811e13	−	1.13929e13i	−0.583056	−	0.545326i
$913$	8.41588e12	+	8.41588e12i	0.400849	+	0.400849i
$914$	−5.72595e12	−	1.05005e13i	−0.271387	−	0.497682i
$915$	3.91414e12	−	1.96777e13i	0.184604	−	0.928067i
$916$	−1.07253e13	+	4.65405e12i	−0.503361	+	0.218424i
$917$	−4.96819e11	−	3.31964e11i	−0.0232026	−	0.0155035i
$918$	−1.55923e13	−	4.98960e13i	−0.724631	−	2.31886i
$919$	2.32455e13	+	9.62861e12i	1.07503	+	0.445291i	0.848762	−	0.528775i	$-0.177348\pi$
$919$	2.32455e13	+	9.62861e12i	1.07503	+	0.445291i	0.226265	+	0.974066i	$0.427348\pi$
$920$	−3.75416e13	−	2.92660e13i	−1.72770	−	1.34685i
$921$	−5.12161e13	+	2.12144e13i	−2.34552	+	0.971545i
$922$	−7.64157e12	+	6.37888e12i	−0.348252	+	0.290707i
$923$	4.33751e12	+	2.18061e13i	0.196713	+	0.988942i
$924$	−5.63681e12	−	8.13830e12i	−0.254396	−	0.367290i
$925$	8.27208e12	+	1.23800e13i	0.371515	+	0.556012i
$926$	−4.10438e11	−	3.83816e12i	−0.0183442	−	0.171543i
$927$			1.31506e13i			0.584905i
$928$	2.52298e13	−	8.81998e12i	1.11673	−	0.390393i
$929$		−	2.67360e13i		−	1.17768i	−0.808251	−	0.588838i	$-0.799586\pi$
$929$		−	2.67360e13i		−	1.17768i	0.808251	−	0.588838i	$-0.200414\pi$
$930$	2.07321e13	−	2.21700e12i	0.908802	−	0.0971835i
$931$	5.49442e12	+	8.22298e12i	0.239689	+	0.358720i
$932$	5.85982e11	−	3.22687e12i	0.0254397	−	0.140091i
$933$	2.11184e12	+	1.06169e13i	0.0912416	+	0.458703i
$934$	−9.60490e12	−	1.15062e13i	−0.412983	−	0.494732i
$935$	−6.38781e13	+	2.64592e13i	−2.73338	+	1.13220i
$936$	3.93677e13	−	2.23288e13i	1.67648	−	0.950878i
$937$	2.37906e13	+	9.85439e12i	1.00827	+	0.417639i	0.824824	−	0.565390i	$-0.191274\pi$
$937$	2.37906e13	+	9.85439e12i	1.00827	+	0.417639i	0.183447	+	0.983030i	$0.441274\pi$
$938$	−5.17142e12	+	1.61604e12i	−0.218121	+	0.0681617i
$939$	1.98045e13	+	1.32329e13i	0.831321	+	0.555471i
$940$	−2.08083e13	+	5.27104e13i	−0.869282	+	2.20202i
$941$	−5.91371e12	+	2.97302e13i	−0.245871	+	1.23608i	0.638622	+	0.769521i	$0.279505\pi$
$941$	−5.91371e12	+	2.97302e13i	−0.245871	+	1.23608i	−0.884492	+	0.466555i	$0.845495\pi$
$942$	−1.44778e13	+	7.89479e12i	−0.599064	+	0.326672i
$943$	1.76040e13	+	1.76040e13i	0.724953	+	0.724953i
$944$	5.97385e12	−	4.28714e12i	0.244839	−	0.175709i
$945$	1.03455e13	−	1.03455e13i	0.421995	−	0.421995i
$946$	4.81131e12	−	1.63514e13i	0.195323	−	0.663812i
$947$	−4.13191e13	−	8.21889e12i	−1.66946	−	0.332076i	−0.732302	−	0.680980i	$-0.761554\pi$
$947$	−4.13191e13	−	8.21889e12i	−1.66946	−	0.332076i	−0.937159	+	0.348903i	$0.886554\pi$
$948$	1.83634e13	−	3.06929e11i	0.738440	−	0.0123424i
$949$	9.82884e12	−	1.47099e13i	0.393373	−	0.588724i
$950$	−1.90588e13	−	9.98329e12i	−0.759171	−	0.397665i
$951$	1.37206e13	−	3.31245e13i	0.543952	−	1.31322i
$952$	−3.08586e12	+	2.66471e12i	−0.121761	+	0.105144i
$953$	−3.93377e12	−	9.49697e12i	−0.154487	−	0.372964i	0.827620	−	0.561289i	$-0.189694\pi$
$953$	−3.93377e12	−	9.49697e12i	−0.154487	−	0.372964i	−0.982107	+	0.188325i	$0.939694\pi$
$954$	−6.50278e13	−	5.85646e12i	−2.54174	−	0.228911i
$955$	−4.24326e12	+	8.44036e11i	−0.165076	+	0.0328357i
$956$	1.23073e12	−	1.91027e12i	0.0476542	−	0.0739664i
$957$	−7.51181e13	+	5.01923e13i	−2.89495	+	1.93434i
$958$	−2.17449e13	−	1.75436e13i	−0.834090	−	0.672935i
$959$	−7.42669e11			−0.0283538
$960$	−8.07113e13	−	1.18857e13i	−3.06700	−	0.451654i
$961$	2.41414e13			0.913078
$962$	−6.05355e12	−	4.88394e12i	−0.227888	−	0.183858i
$963$	−7.70921e13	+	5.15113e13i	−2.88863	+	1.93012i
$964$	5.48292e12	+	3.53248e12i	0.204487	+	0.131745i
$965$	−5.96646e13	+	1.18680e13i	−2.21485	+	0.440561i
$966$	9.45000e12	+	8.51074e11i	0.349168	+	0.0314463i
$967$	1.28210e13	+	3.09526e13i	0.471523	+	1.13836i	0.963490	+	0.267743i	$0.0862779\pi$
$967$	1.28210e13	+	3.09526e13i	0.471523	+	1.13836i	−0.491968	+	0.870614i	$0.663722\pi$
$968$	3.29314e12	−	4.49660e13i	0.120551	−	1.64606i
$969$	8.88545e12	−	2.14514e13i	0.323760	−	0.781625i
$970$	5.80147e13	+	3.03890e13i	2.10409	+	1.10216i
$971$	−1.33614e13	+	1.99968e13i	−0.482354	+	0.721893i	−0.990216	−	0.139545i	$-0.955436\pi$
$971$	−1.33614e13	+	1.99968e13i	−0.482354	+	0.721893i	0.507862	+	0.861438i	$0.330436\pi$
$972$	5.11278e11	+	3.05894e13i	0.0183721	+	1.09919i
$973$	−1.27073e12	−	2.52764e11i	−0.0454512	−	0.00904082i
$974$	−1.00981e13	+	3.43188e13i	−0.359521	+	1.22185i
$975$	5.94852e13	−	5.94852e13i	2.10809	−	2.10809i
$976$	4.56412e12	−	7.35118e12i	0.161003	−	0.259318i
$977$	−3.91699e13	−	3.91699e13i	−1.37539	−	1.37539i	−0.852237	−	0.523156i	$-0.824754\pi$
$977$	−3.91699e13	−	3.91699e13i	−1.37539	−	1.37539i	−0.523156	−	0.852237i	$-0.675246\pi$
$978$	−6.45589e13	+	3.52042e13i	−2.25648	+	1.23046i
$979$	1.32575e13	−	6.66497e13i	0.461252	−	2.31887i
$980$	4.49953e13	+	1.77626e13i	1.55829	+	0.615162i
$981$	−9.84421e13	−	6.57769e13i	−3.39368	−	2.26758i
$982$	1.57398e12	−	4.91860e11i	0.0540127	−	0.0168787i
$983$	4.04213e12	+	1.67431e12i	0.138076	+	0.0571931i	0.450652	−	0.892700i	$-0.351192\pi$
$983$	4.04213e12	+	1.67431e12i	0.138076	+	0.0571931i	−0.312575	+	0.949893i	$0.601192\pi$
$984$	4.11284e13	+	1.13585e13i	1.39851	+	0.386228i
$985$	5.03198e13	−	2.08431e13i	1.70324	−	0.705505i
$986$	2.38437e13	+	2.85635e13i	0.803391	+	0.962422i
$987$	−2.20368e12	−	1.10787e13i	−0.0739131	−	0.371586i
$988$	1.10585e13	+	2.00816e12i	0.369224	+	0.0670490i
$989$	9.07581e12	+	1.35829e13i	0.301649	+	0.451450i
$990$	1.90300e14	−	2.03499e13i	6.29624	−	0.673294i
$991$		−	3.59399e13i		−	1.18371i	−0.806044	−	0.591855i	$-0.798396\pi$
$991$		−	3.59399e13i		−	1.18371i	0.806044	−	0.591855i	$-0.201604\pi$
$992$	8.70656e12	+	2.24860e12i	0.285459	+	0.0737243i
$993$		−	7.79430e13i		−	2.54393i
$994$	5.89497e11	+	5.51262e12i	0.0191533	+	0.179110i
$995$	3.88033e13	+	5.80732e13i	1.25506	+	1.87833i
$996$	−1.60716e13	+	1.11316e13i	−0.517478	+	0.358420i
$997$	2.00779e12	+	1.00939e13i	0.0643563	+	0.323541i	0.999530	−	0.0306479i	$-0.00975707\pi$
$997$	2.00779e12	+	1.00939e13i	0.0643563	+	0.323541i	−0.935174	+	0.354189i	$0.884757\pi$
$998$	−1.18026e13	+	9.85235e12i	−0.376609	+	0.314378i
$999$	2.29747e13	−	9.51645e12i	0.729803	−	0.302294i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	64.10.i.a.13.19	yes	568
64.5	even	16	inner	64.10.i.a.5.19	✓	568

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
64.10.i.a.5.19	✓	568	64.5	even	16	inner
64.10.i.a.13.19	yes	568	1.1	even	1	trivial

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+(-14.2080 + 17.6106i) q^{2} +(210.883 - 140.907i) q^{3} +(-108.264 - 500.423i) q^{4} +(-2350.51 + 467.546i) q^{5} +(-514.767 + 5715.77i) q^{6} +(-369.039 - 890.939i) q^{7} +(10351.0 + 5203.42i) q^{8} +(17084.2 - 41245.0i) q^{9} +(25162.4 - 48036.8i) q^{10} +(-43920.5 + 65731.7i) q^{11} +(-93344.2 - 90275.2i) q^{12} +(85826.1 + 17071.9i) q^{13} +(20933.3 + 6159.49i) q^{14} +(-429802. + 429802. i) q^{15} +(-238702. + 108356. i) q^{16} +(-258050. - 258050. i) q^{17} +(483615. + 886874. i) q^{18} +(-48939.8 + 246037. i) q^{19} +(488448. + 1.12563e6i) q^{20} +(-203364. - 135883. i) q^{21} +(-533549. - 1.70738e6i) q^{22} +(1.58394e6 + 656090. i) q^{23} +(2.91603e6 - 361214. i) q^{24} +(3.50187e6 - 1.45052e6i) q^{25} +(-1.52006e6 + 1.26889e6i) q^{26} +(-1.23504e6 - 6.20895e6i) q^{27} +(-405892. + 281133. i) q^{28} +(2.50331e6 + 3.74647e6i) q^{29} +(-1.46242e6 - 1.36757e7i) q^{30} +1.51598e6i q^{31} +(1.48327e6 - 5.74319e6i) q^{32} +2.00504e7i q^{33} +(8.21080e6 - 878029. i) q^{34} +(1.28399e6 + 1.92162e6i) q^{35} +(-2.24896e7 - 4.08398e6i) q^{36} +(766350. + 3.85270e6i) q^{37} +(-3.63751e6 - 4.35755e6i) q^{38} +(2.05048e7 - 8.49335e6i) q^{39} +(-2.67629e7 - 7.39116e6i) q^{40} +(1.34159e7 + 5.55704e6i) q^{41} +(5.28238e6 - 1.65072e6i) q^{42} +(7.92262e6 + 5.29373e6i) q^{43} +(3.76486e7 + 1.48624e7i) q^{44} +(-2.08728e7 + 1.04935e8i) q^{45} +(-3.40588e7 + 1.85724e7i) q^{46} +(3.26566e7 + 3.26566e7i) q^{47} +(-3.50699e7 + 5.64851e7i) q^{48} +(2.78767e7 - 2.78767e7i) q^{49} +(-2.42101e7 + 8.22789e7i) q^{50} +(-9.07794e7 - 1.80572e7i) q^{51} +(-748756. - 4.47976e7i) q^{52} +(-3.59088e7 + 5.37413e7i) q^{53} +(1.26891e8 + 6.64671e7i) q^{54} +(7.25032e7 - 1.75038e8i) q^{55} +(816024. - 1.11423e7i) q^{56} +(2.43478e7 + 5.87809e7i) q^{57} +(-1.01545e8 - 9.14518e6i) q^{58} +(-2.75105e7 + 5.47217e6i) q^{59} +(2.61615e8 + 1.68550e8i) q^{60} +(-2.74450e7 + 1.83382e7i) q^{61} +(-2.66973e7 - 2.15391e7i) q^{62} -4.30516e7 q^{63} +(8.00666e7 + 1.07721e8i) q^{64} -2.09717e8 q^{65} +(-3.53099e8 - 2.84876e8i) q^{66} +(-2.06453e8 + 1.37947e8i) q^{67} +(-1.01197e8 + 1.57072e8i) q^{68} +(4.26473e8 - 8.48308e7i) q^{69} +(-5.20838e7 - 4.69071e6i) q^{70} +(9.72297e7 + 2.34733e8i) q^{71} +(3.91453e8 - 3.38029e8i) q^{72} +(7.73673e7 - 1.86781e8i) q^{73} +(-7.87366e7 - 4.12434e7i) q^{74} +(5.34094e8 - 7.99328e8i) q^{75} +(1.28421e8 - 2.14645e6i) q^{76} +(7.47713e7 + 1.48729e7i) q^{77} +(-1.41759e8 + 4.81774e8i) q^{78} +(-1.00008e8 + 1.00008e8i) q^{79} +(5.10410e8 - 3.66296e8i) q^{80} +(-5.13988e8 - 5.13988e8i) q^{81} +(-2.88476e8 + 1.57307e8i) q^{82} +(2.93712e7 - 1.47659e8i) q^{83} +(-4.59820e7 + 1.16479e8i) q^{84} +(7.27201e8 + 4.85900e8i) q^{85} +(-2.05790e8 + 6.43085e7i) q^{86} +(1.05581e9 + 4.37330e8i) q^{87} +(-7.96648e8 + 4.51849e8i) q^{88} +(-7.94167e8 + 3.28955e8i) q^{89} +(-1.55140e9 - 1.85850e9i) q^{90} +(-1.64632e7 - 8.27660e7i) q^{91} +(1.56838e8 - 8.63671e8i) q^{92} +(2.13612e8 + 3.19693e8i) q^{93} +(-1.03909e9 + 1.11116e8i) q^{94} -6.01195e8i q^{95} +(-4.96462e8 - 1.42014e9i) q^{96} +1.20771e9i q^{97} +(9.48520e7 + 8.86998e8i) q^{98} +(1.96076e9 + 2.93448e9i) 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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