LMFDB - Embedded newform 64.10.i.a.5.19

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			5.19
Character	$\chi$	$=$	64.5
Dual form			64.10.i.a.13.19

$q$-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 $\left(\mathbb{Z}/64\mathbb{Z}\right)^\times$.

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

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 $

$2$	−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	0.989208	+	0.146515i	$0.0468058\pi$
$3$	210.883	+	140.907i	1.50312	+	1.00436i	0.513916	+	0.857840i	$0.328194\pi$
$4$	−108.264	+	500.423i	−0.211454	+	0.977388i
$5$	−2350.51	−	467.546i	−1.68189	−	0.334549i	−0.740549	−	0.672002i	$-0.765435\pi$
$5$	−2350.51	−	467.546i	−1.68189	−	0.334549i	−0.941342	+	0.337453i	$0.890435\pi$
$6$	−514.767	−	5715.77i	−0.162155	−	1.80051i
$7$	−369.039	+	890.939i	−0.0580940	+	0.140251i	−0.950261	−	0.311454i	$-0.899184\pi$
$7$	−369.039	+	890.939i	−0.0580940	+	0.140251i	0.892167	+	0.451705i	$0.149184\pi$
$8$	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	−0.935198	−	0.354125i	$-0.884779\pi$
$11$	−43920.5	−	65731.7i	−0.904482	−	1.35365i	0.0307155	−	0.999528i	$-0.490221\pi$
$12$	−93344.2	+	90275.2i	−1.29949	+	1.25676i
$13$	85826.1	−	17071.9i	0.833440	−	0.165781i	0.240115	−	0.970745i	$-0.422815\pi$
$13$	85826.1	−	17071.9i	0.833440	−	0.165781i	0.593325	+	0.804963i	$0.297815\pi$
$14$	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	−0.974357	−	0.225008i	$-0.927759\pi$
$17$	−258050.	+	258050.i	−0.749349	+	0.749349i	0.225008	+	0.974357i	$0.427759\pi$
$18$	483615.	−	886874.i	1.08586	−	1.99129i
$19$	−48939.8	−	246037.i	−0.0861531	−	0.433121i	−0.999654	−	0.0262852i	$-0.991632\pi$
$19$	−48939.8	−	246037.i	−0.0861531	−	0.433121i	0.913501	−	0.406836i	$-0.133368\pi$
$20$	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	0.295663	−	0.955292i	$-0.404459\pi$
$23$	1.58394e6	−	656090.i	1.18022	−	0.488864i	0.884559	+	0.466428i	$0.154459\pi$
$24$	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	−0.341798	−	0.939773i	$-0.611036\pi$
$29$	2.50331e6	−	3.74647e6i	0.657240	−	0.983629i	0.999038	−	0.0438553i	$-0.0139641\pi$
$30$	−1.46242e6	+	1.36757e7i	−0.329630	+	3.08250i
$31$		−	1.51598e6i		−	0.294826i	−0.989075	−	0.147413i	$-0.952905\pi$
$31$		−	1.51598e6i		−	0.294826i	0.989075	−	0.147413i	$-0.0470946\pi$
$32$	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	−0.932508	−	0.361150i	$-0.882384\pi$
$37$	766350.	−	3.85270e6i	0.0672232	−	0.337954i	0.999731	+	0.0231961i	$0.00738422\pi$
$38$	−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	0.0202123	−	0.999796i	$-0.493566\pi$
$41$	1.34159e7	−	5.55704e6i	0.741467	−	0.307126i	0.721255	+	0.692670i	$0.243566\pi$
$42$	5.28238e6	+	1.65072e6i	0.261943	+	0.0818561i
$43$	7.92262e6	−	5.29373e6i	0.353395	−	0.236131i	−0.366182	−	0.930543i	$-0.619335\pi$
$43$	7.92262e6	−	5.29373e6i	0.353395	−	0.236131i	0.719578	+	0.694412i	$0.244335\pi$
$44$	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	−0.0235412	−	0.999723i	$-0.507494\pi$
$47$	3.26566e7	−	3.26566e7i	0.976182	−	0.976182i	0.999723	+	0.0235412i	$0.00749407\pi$
$48$	−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	−0.999964	−	0.00846459i	$-0.997306\pi$
$53$	−3.59088e7	−	5.37413e7i	−0.625115	−	0.935550i	0.374849	−	0.927086i	$-0.377694\pi$
$54$	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	0.0450767	−	0.998984i	$-0.485647\pi$
$59$	−2.75105e7	−	5.47217e6i	−0.295572	−	0.0587930i	−0.340649	+	0.940191i	$0.610647\pi$
$60$	2.61615e8	−	1.68550e8i	2.60604	−	1.67899i
$61$	−2.74450e7	−	1.83382e7i	−0.253793	−	0.169579i	0.422166	−	0.906519i	$-0.361270\pi$
$61$	−2.74450e7	−	1.83382e7i	−0.253793	−	0.169579i	−0.675958	+	0.736940i	$0.736270\pi$
$62$	−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	−0.260045	−	0.965597i	$-0.583737\pi$
$67$	−2.06453e8	−	1.37947e8i	−1.25165	−	0.836329i	−0.991610	+	0.129268i	$0.958737\pi$
$68$	−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	−0.516671	−	0.856184i	$-0.672829\pi$
$71$	9.72297e7	−	2.34733e8i	0.454084	−	1.09626i	0.970755	−	0.240072i	$-0.0771712\pi$
$72$	3.91453e8	+	3.38029e8i	1.71666	+	1.48237i
$73$	7.73673e7	+	1.86781e8i	0.318863	+	0.769804i	0.999315	+	0.0370111i	$0.0117837\pi$
$73$	7.73673e7	+	1.86781e8i	0.318863	+	0.769804i	−0.680451	+	0.732793i	$0.738216\pi$
$74$	−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	0.547759	−	0.836636i	$-0.315481\pi$
$79$	−1.00008e8	−	1.00008e8i	−0.288876	−	0.288876i	−0.836636	+	0.547759i	$0.815481\pi$
$80$	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	0.999772	−	0.0213536i	$-0.00679758\pi$
$83$	2.93712e7	+	1.47659e8i	0.0679314	+	0.341514i	−0.931841	+	0.362868i	$0.881798\pi$
$84$	−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	−0.407733	−	0.913101i	$-0.633680\pi$
$89$	−7.94167e8	−	3.28955e8i	−1.34170	−	0.555752i	−0.933971	+	0.357350i	$0.883680\pi$
$90$	−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	$-0.756480\pi$
$97$		−	1.20771e9i		−	1.38513i	0.721355	−	0.692566i	$-0.243520\pi$
$98$	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	−0.483649	−	0.875262i	$-0.660689\pi$
$101$	3.11785e8	−	1.56745e9i	0.298133	−	1.49881i	0.781782	−	0.623552i	$-0.214311\pi$
$102$	1.60779e9	+	1.34212e9i	1.47072	+	1.22770i
$103$	−2.72147e8	−	1.12727e8i	−0.238251	−	0.0986870i	0.260363	−	0.965511i	$-0.416158\pi$
$103$	−2.72147e8	−	1.12727e8i	−0.238251	−	0.0986870i	−0.498615	+	0.866824i	$0.666158\pi$
$104$	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	−0.994025	−	0.109150i	$-0.965187\pi$
$107$	−1.72685e9	+	1.15384e9i	−1.27358	+	0.850979i	−0.279555	+	0.960130i	$0.590187\pi$
$108$	−2.97339e9	−	1.29025e9i	−2.10303	−	0.912570i
$109$	5.17385e8	+	2.60107e9i	0.351071	+	1.76495i	0.603525	+	0.797344i	$0.293762\pi$
$109$	5.17385e8	+	2.60107e9i	0.351071	+	1.76495i	−0.252455	+	0.967609i	$0.581238\pi$
$110$	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	0.948054	−	0.318109i	$-0.103048\pi$
$113$	1.09183e9	+	1.09183e9i	0.629946	+	0.629946i	−0.318109	+	0.948054i	$0.603048\pi$
$114$	−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	0.629640	−	0.776887i	$-0.283202\pi$
$131$	5.15188e8	+	3.44238e8i	0.152843	+	0.102126i	−0.476797	+	0.879013i	$0.658202\pi$
$132$	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	0.955580	−	0.294732i	$-0.0952304\pi$
$137$	2.94715e8	+	7.11505e8i	0.0714759	+	0.172558i	−0.884104	+	0.467290i	$0.845230\pi$
$138$	−4.56542e9	−	8.71572e9i	−1.07158	−	2.04573i
$139$	7.46424e8	+	1.11710e9i	0.169597	+	0.253820i	0.906526	−	0.422150i	$-0.138725\pi$
$139$	7.46424e8	+	1.11710e9i	0.169597	+	0.253820i	−0.736928	+	0.675971i	$0.763725\pi$
$140$	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	−0.314020	−	0.949416i	$-0.601676\pi$
$149$	2.66501e9	−	1.78070e9i	0.442956	−	0.295974i	0.756976	+	0.653443i	$0.226676\pi$
$150$	6.48821e9	−	2.07626e10i	1.04644	−	3.34865i
$151$	−1.77835e9	+	7.36617e8i	−0.278369	+	0.115304i	−0.517500	−	0.855683i	$-0.673137\pi$
$151$	−1.77835e9	+	7.36617e8i	−0.278369	+	0.115304i	0.239131	+	0.970987i	$0.423137\pi$
$152$	−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	−0.711680	−	0.702504i	$-0.752065\pi$
$157$	1.59640e9	−	2.38918e9i	0.209697	−	0.313834i	0.921377	+	0.388670i	$0.127065\pi$
$158$	−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	−0.189873	−	0.981809i	$-0.560807\pi$
$163$	7.11861e9	−	1.06538e10i	0.789862	−	1.18211i	0.979734	−	0.200303i	$-0.0641925\pi$
$164$	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	−0.0276240	−	0.999618i	$-0.508794\pi$
$167$	−7.57865e9	−	3.13918e9i	−0.753994	−	0.312315i	−0.726370	+	0.687304i	$0.758794\pi$
$168$	−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	−0.730337	−	0.683087i	$-0.760637\pi$
$173$	−3.73479e9	−	1.87761e10i	−0.317000	−	1.59367i	0.413337	−	0.910578i	$-0.364363\pi$
$174$	−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	−0.331502	−	0.943454i	$-0.607556\pi$
$179$	−3.80092e9	+	7.56051e8i	−0.276726	+	0.0550443i	0.0547760	+	0.998499i	$0.482556\pi$
$180$	5.47715e10	+	9.15462e8i	3.88891	+	0.0650001i
$181$	7.71917e9	+	1.15526e10i	0.534585	+	0.800063i	0.996207	−	0.0870136i	$-0.0277323\pi$
$181$	7.71917e9	+	1.15526e10i	0.534585	+	0.800063i	−0.461622	+	0.887077i	$0.652732\pi$
$182$	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	−0.362697	−	0.931907i	$-0.618144\pi$
$197$	−2.22899e10	−	4.43374e9i	−1.05441	−	0.209736i	−0.691714	+	0.722171i	$0.743144\pi$
$198$	−7.95363e10	+	7.16310e9i	−3.67766	+	0.331213i
$199$	−1.11527e10	+	2.69250e10i	−0.504129	+	1.21707i	0.443087	+	0.896479i	$0.353883\pi$
$199$	−1.11527e10	+	2.69250e10i	−0.504129	+	1.21707i	−0.947216	+	0.320596i	$0.896117\pi$
$200$	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	−0.938447	−	0.345422i	$-0.887736\pi$
$211$	−5.86269e9	−	2.94737e10i	−0.203622	−	1.02368i	0.734825	−	0.678257i	$-0.237264\pi$
$212$	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	$0.0115076\pi$
$223$			2.66956e9i			0.0722884i	−0.999347	+	0.0361442i	$0.988492\pi$
$224$	−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	−0.174898	−	0.984587i	$-0.555960\pi$
$227$	3.20710e10	−	4.79977e10i	0.801672	−	1.19979i	0.976570	−	0.215200i	$-0.0690405\pi$
$228$	2.67793e10	+	1.85481e10i	0.656284	+	0.454561i
$229$	−4.45489e9	+	2.23963e10i	−0.107048	+	0.538166i	0.889627	+	0.456687i	$0.150964\pi$
$229$	−4.45489e9	+	2.23963e10i	−0.107048	+	0.538166i	−0.996675	+	0.0814784i	$0.974036\pi$
$230$	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	−0.315941	−	0.948779i	$-0.602320\pi$
$233$	5.91796e9	−	2.45130e9i	0.131544	−	0.0544873i	0.447484	+	0.894292i	$0.352320\pi$
$234$	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	−0.675314	−	0.737531i	$-0.735992\pi$
$239$	3.13835e9	−	3.13835e9i	0.0622172	−	0.0622172i	0.737531	+	0.675314i	$0.235992\pi$
$240$	5.60229e10	+	1.49166e11i	1.08997	+	2.90215i
$241$	−9.00779e9	−	9.00779e9i	−0.172005	−	0.172005i	0.615855	−	0.787860i	$-0.288811\pi$
$241$	−9.00779e9	−	9.00779e9i	−0.172005	−	0.172005i	−0.787860	+	0.615855i	$0.788811\pi$
$242$	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	0.774825	−	0.632176i	$-0.217838\pi$
$251$	7.85247e10	+	1.56195e10i	1.24875	+	0.248391i	0.473922	+	0.880567i	$0.342838\pi$
$252$	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	0.564966	+	0.825114i	$0.308889\pi$
$263$	−3.24298e10	+	7.82926e10i	−0.417969	+	1.00907i	−0.982935	+	0.183952i	$0.941111\pi$
$264$	−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	−0.415846	−	0.909435i	$-0.636515\pi$
$269$	−3.88182e10	+	7.72142e9i	−0.452012	+	0.0899108i	−0.0361660	+	0.999346i	$0.511515\pi$
$270$	−3.29334e11	+	9.69048e10i	−3.77138	+	1.10971i
$271$	−8.89940e10	−	8.89940e10i	−1.00230	−	1.00230i	−0.999997	−	0.00230570i	$-0.999266\pi$
$271$	−8.89940e10	−	8.89940e10i	−1.00230	−	1.00230i	−0.00230570	−	0.999997i	$-0.500734\pi$
$272$	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	−0.780475	−	0.625187i	$-0.785023\pi$
$277$	−4.91446e10	+	3.28374e10i	−0.501553	+	0.335127i	0.278922	+	0.960314i	$0.410023\pi$
$278$	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	0.990276	−	0.139120i	$-0.0444274\pi$
$281$	1.66402e11	+	6.89259e10i	1.59213	+	0.659483i	0.601858	+	0.798603i	$0.294427\pi$
$282$	−2.03468e11	−	1.69847e11i	−1.91591	−	1.59933i
$283$	2.12967e10	−	1.07066e11i	0.197366	−	0.992227i	−0.747373	−	0.664404i	$-0.768685\pi$
$283$	2.12967e10	−	1.07066e11i	0.197366	−	0.992227i	0.944739	−	0.327822i	$-0.106315\pi$
$284$	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	−0.870446	−	0.492263i	$-0.836170\pi$
$293$	1.54063e10	−	7.74528e10i	0.122122	−	0.613949i	0.992569	−	0.121686i	$-0.0388302\pi$
$294$	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	−0.827587	−	0.561337i	$-0.810287\pi$
$307$	−2.14374e11	+	4.26416e10i	−1.37736	+	0.273975i	−0.549776	+	0.835312i	$0.685287\pi$
$308$	−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	0.866616	−	0.498975i	$-0.166290\pi$
$311$	−1.63332e10	−	3.94317e10i	−0.0990030	−	0.239014i	−0.965619	+	0.259961i	$0.916290\pi$
$312$	2.56438e11	−	1.87806e10i	1.53210	−	0.112205i
$313$	3.59387e10	−	8.67638e10i	0.211648	−	0.510962i	−0.782029	−	0.623242i	$-0.785815\pi$
$313$	3.59387e10	−	8.67638e10i	0.211648	−	0.510962i	0.993677	+	0.112279i	$0.0358152\pi$
$314$	−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	0.837716	−	0.546106i	$-0.183890\pi$
$317$	1.17540e11	+	7.85377e10i	0.653761	+	0.436829i	−0.183956	+	0.982935i	$0.558890\pi$
$318$	−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	0.981738	+	0.190238i	$0.0609261\pi$
$331$	1.70735e11	+	2.55523e11i	0.781800	+	1.17005i	−0.199938	+	0.979809i	$0.564074\pi$
$332$	−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	−0.581945	−	0.813228i	$-0.697708\pi$
$337$	5.47618e10	−	5.47618e10i	0.231283	−	0.231283i	0.813228	+	0.581945i	$0.197708\pi$
$338$	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	−0.821843	−	0.569714i	$-0.807054\pi$
$347$	4.19860e10	−	2.11078e11i	0.155461	−	0.781556i	0.977304	−	0.211842i	$-0.0679461\pi$
$348$	1.04544e11	+	5.75698e11i	0.382112	+	2.10421i
$349$	1.86354e11	−	2.78898e11i	0.672393	−	1.00631i	−0.325754	−	0.945455i	$-0.605618\pi$
$349$	1.86354e11	−	2.78898e11i	0.672393	−	1.00631i	0.998147	−	0.0608526i	$-0.0193820\pi$
$350$	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	$0.0907013\pi$
$353$			1.64016e11i			0.562213i	−0.959677	+	0.281106i	$0.909299\pi$
$354$	−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	0.169799	−	0.985479i	$-0.445688\pi$
$359$	−1.28083e11	−	5.30537e10i	−0.406974	−	0.168574i	−0.576773	+	0.816905i	$0.695688\pi$
$360$	−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	−0.104757	−	0.994498i	$-0.533406\pi$
$367$	3.09215e11	−	3.09215e11i	0.889741	−	0.889741i	0.994498	+	0.104757i	$0.0334065\pi$
$368$	−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	−0.923445	−	0.383732i	$-0.874639\pi$
$373$	−3.45648e11	−	5.17299e11i	−0.924580	−	1.38373i	−0.00113504	−	0.999999i	$-0.500361\pi$
$374$	−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	−0.732398	−	0.680877i	$-0.761599\pi$
$379$	−6.70641e11	−	1.33399e11i	−1.66961	−	0.332105i	−0.937208	+	0.348772i	$0.886599\pi$
$380$	−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	0.365641	−	0.930756i	$-0.380850\pi$
$389$	1.56831e11	+	3.11957e10i	0.347264	+	0.0690751i	−0.0183769	+	0.999831i	$0.505850\pi$
$390$	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	−0.141253	−	0.989973i	$-0.545113\pi$
$397$	5.30047e10	−	1.05433e10i	0.107092	−	0.0213019i	0.248345	+	0.968672i	$0.420113\pi$
$398$	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	−0.863952	−	0.503574i	$-0.832018\pi$
$401$	−1.86599e11	+	1.86599e11i	−0.360378	+	0.360378i	0.503574	+	0.863952i	$0.332018\pi$
$402$	−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	0.194954	−	0.980812i	$-0.437544\pi$
$409$	−2.04146e11	−	8.45599e10i	−0.360732	−	0.149420i	−0.555686	+	0.831392i	$0.687544\pi$
$410$	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	−0.818102	−	0.575073i	$-0.804974\pi$
$419$	1.65738e10	−	2.48044e10i	0.0262699	−	0.0393157i	0.844372	+	0.535757i	$0.179974\pi$
$420$	5.36220e10	+	2.95285e11i	0.0840856	+	0.463041i
$421$	−6.27514e10	+	3.15472e11i	−0.0973540	+	0.489431i	0.901088	+	0.433636i	$0.142770\pi$
$421$	−6.27514e10	+	3.15472e11i	−0.0973540	+	0.489431i	−0.998442	+	0.0557957i	$0.982230\pi$
$422$	−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	−0.843061	−	0.537818i	$-0.819249\pi$
$431$	−2.18672e11	+	2.18672e11i	−0.305243	+	0.305243i	0.537818	+	0.843061i	$0.319249\pi$
$432$	9.67581e11	−	1.34826e12i	1.33663	−	1.86251i
$433$	−2.29929e11	−	2.29929e11i	−0.314339	−	0.314339i	0.532249	−	0.846588i	$-0.321347\pi$
$433$	−2.29929e11	−	2.29929e11i	−0.314339	−	0.314339i	−0.846588	+	0.532249i	$0.821347\pi$
$434$	−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	−0.986730	−	0.162368i	$-0.948087\pi$
$439$	−3.14250e11	−	7.58668e11i	−0.403818	−	0.974903i	0.582912	−	0.812535i	$-0.301913\pi$
$440$	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	0.975965	−	0.217928i	$-0.0699299\pi$
$443$	1.45445e12	+	2.89307e11i	1.79424	+	0.356897i	0.818276	+	0.574825i	$0.194930\pi$
$444$	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	0.777528	−	0.628849i	$-0.216474\pi$
$457$	−2.02276e11	−	4.88337e11i	−0.216931	−	0.523717i	−0.994458	+	0.105132i	$0.966474\pi$
$458$	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	0.0324563	−	0.999473i	$-0.489667\pi$
$461$	4.31459e11	−	8.58226e10i	0.444924	−	0.0885009i	0.412468	+	0.910972i	$0.364667\pi$
$462$	−1.23500e11	−	4.19720e11i	−0.126118	−	0.428618i
$463$	−1.20626e11	−	1.20626e11i	−0.121991	−	0.121991i	0.643476	−	0.765467i	$-0.277492\pi$
$463$	−1.20626e11	−	1.20626e11i	−0.121991	−	0.121991i	−0.765467	+	0.643476i	$0.777492\pi$
$464$	−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	−0.991336	−	0.131348i	$-0.958069\pi$
$467$	−1.29226e11	−	6.49664e11i	−0.125726	−	0.632066i	0.865610	−	0.500718i	$-0.166931\pi$
$468$	−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	$-0.819991\pi$
$479$		−	1.23476e12i		−	1.07170i	0.844312	−	0.535851i	$-0.180009\pi$
$480$	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	0.883399	−	0.468621i	$-0.155249\pi$
$487$	1.46064e12	+	6.05016e11i	1.17669	+	0.487401i	0.293292	+	0.956023i	$0.405249\pi$
$488$	−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	−0.578874	−	0.815417i	$-0.696508\pi$
$491$	−6.05957e10	+	4.04888e10i	−0.0470517	+	0.0314389i	0.531822	+	0.846856i	$0.321508\pi$
$492$	−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	0.0514461	−	0.998676i	$-0.483617\pi$
$499$	6.66401e11	−	1.32555e11i	0.481153	−	0.0957072i	0.429707	+	0.902969i	$0.358617\pi$
$500$	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	0.998376	+	0.0569595i	$0.0181406\pi$
$503$	4.77640e11	+	1.15313e12i	0.332694	+	0.803195i	−0.665682	+	0.746235i	$0.731859\pi$
$504$	−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	0.985424	−	0.170116i	$-0.0544144\pi$
$509$	1.82536e12	+	1.21966e12i	1.20536	+	0.805397i	0.219938	+	0.975514i	$0.429414\pi$
$510$	−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	0.883732	+	0.467994i	$0.155023\pi$
$521$	9.91849e11	+	2.39454e12i	0.589761	+	1.42381i	−0.293971	+	0.955814i	$0.594977\pi$
$522$	−2.11201e12	−	4.03197e12i	−1.24502	−	2.37684i
$523$	1.24447e12	+	1.86248e12i	0.727323	+	1.08852i	0.992251	+	0.124247i	$0.0396517\pi$
$523$	1.24447e12	+	1.86248e12i	0.727323	+	1.08852i	−0.264928	+	0.964268i	$0.585348\pi$
$524$	−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	0.133290	+	0.991077i	$0.457446\pi$
$541$	−1.66042e12	+	2.48499e12i	−0.833354	+	1.24720i	−0.966644	+	0.256125i	$0.917554\pi$
$542$	−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	−0.771183	−	0.636613i	$-0.780335\pi$
$547$	2.34698e11	−	3.51250e11i	0.112090	−	0.167754i	0.883273	+	0.468859i	$0.155335\pi$
$548$	−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	0.934720	−	0.355385i	$-0.115650\pi$
$557$	−1.47316e11	−	7.40607e11i	−0.0648487	−	0.326016i	−0.999569	+	0.0293688i	$0.990650\pi$
$558$	−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	−0.600795	−	0.799403i	$-0.705149\pi$
$563$	−2.02617e12	+	4.03030e11i	−0.849940	+	0.169063i	−0.249144	+	0.968466i	$0.580149\pi$
$564$	−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	−0.999975	−	0.00707051i	$-0.997749\pi$
$569$	−7.19824e11	+	1.73781e12i	−0.287886	+	0.695019i	0.712089	+	0.702090i	$0.247749\pi$
$570$	3.43629e12	−	3.09475e11i	1.36350	−	0.122797i
$571$	3.42755e12	+	6.81783e11i	1.34934	+	0.268401i	0.816271	−	0.577670i	$-0.196038\pi$
$571$	3.42755e12	+	6.81783e11i	1.34934	+	0.268401i	0.533071	+	0.846071i	$0.321038\pi$
$572$	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	0.551739	−	0.834017i	$-0.313964\pi$
$587$	−1.23672e12	−	1.85089e12i	−0.429933	−	0.643441i	−0.981672	+	0.190576i	$0.938964\pi$
$588$	−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	−0.943133	−	0.332416i	$-0.892136\pi$
$593$	−1.83902e12	+	1.83902e12i	−0.610717	+	0.610717i	0.332416	+	0.943133i	$0.392136\pi$
$594$	−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	−0.116671	−	0.993171i	$-0.537222\pi$
$599$	1.58519e12	−	6.56609e11i	0.503108	−	0.208394i	0.619779	+	0.784776i	$0.287222\pi$
$600$	9.68762e12	+	5.49469e12i	3.05166	+	1.73086i
$601$	3.99363e12	+	1.65422e12i	1.24863	+	0.517198i	0.906401	−	0.422419i	$-0.138819\pi$
$601$	3.99363e12	+	1.65422e12i	1.24863	+	0.517198i	0.342227	+	0.939617i	$0.388819\pi$
$602$	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	$0.0545920\pi$
$607$			1.14163e12i			0.341332i	−0.985329	+	0.170666i	$0.945408\pi$
$608$	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	−0.996916	−	0.0784702i	$-0.974996\pi$
$613$	−1.60315e11	+	8.05956e11i	−0.0458565	+	0.230536i	0.951060	+	0.309006i	$0.0999965\pi$
$614$	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	−0.657511	−	0.753445i	$-0.728390\pi$
$617$	−2.12273e12	+	8.79265e11i	−0.589674	+	0.244251i	0.0678362	+	0.997696i	$0.478390\pi$
$618$	−5.04229e11	+	1.61356e12i	−0.139053	+	0.444976i
$619$	3.16308e12	−	2.11350e12i	0.865968	−	0.578621i	−0.0413131	−	0.999146i	$-0.513154\pi$
$619$	3.16308e12	−	2.11350e12i	0.865968	−	0.578621i	0.907281	+	0.420525i	$0.138154\pi$
$620$	−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	0.851037	−	0.525106i	$-0.175974\pi$
$631$	−4.86010e11	−	1.17333e12i	−0.122043	−	0.294638i	−0.973080	+	0.230468i	$0.925974\pi$
$632$	−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	0.830556	−	0.556935i	$-0.188023\pi$
$643$	2.74751e12	+	1.83583e12i	0.633855	+	0.423529i	−0.196701	+	0.980464i	$0.563023\pi$
$644$	−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	−0.989455	−	0.144839i	$-0.953734\pi$
$647$	−8.35239e11	+	2.01645e12i	−0.187388	+	0.452395i	0.802067	+	0.597234i	$0.203734\pi$
$648$	−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	−0.965803	−	0.259277i	$-0.916516\pi$
$653$	−8.17227e12	+	1.62557e12i	−1.75887	+	0.349861i	−0.793065	+	0.609137i	$0.791516\pi$
$654$	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	−0.943567	−	0.331181i	$-0.892553\pi$
$659$	−9.61349e11	−	4.83303e12i	−0.198562	−	0.998240i	0.745005	−	0.667059i	$-0.232447\pi$
$660$	−2.25693e13	−	9.79356e12i	−4.62990	−	2.00906i
$661$	−3.30214e11	+	2.20642e11i	−0.0672805	+	0.0449554i	−0.588756	−	0.808311i	$-0.700382\pi$
$661$	−3.30214e11	+	2.20642e11i	−0.0672805	+	0.0449554i	0.521475	+	0.853266i	$0.325382\pi$
$662$	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	$-0.980419\pi$
$673$		−	6.54337e11i		−	0.122951i	0.998109	−	0.0614757i	$-0.0195807\pi$
$674$	−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	0.867996	+	0.496571i	$0.165408\pi$
$677$	−6.77519e11	+	3.40612e12i	−0.123957	+	0.623176i	−0.991953	+	0.126604i	$0.959592\pi$
$678$	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	−0.546245	−	0.837626i	$-0.683943\pi$
$683$	1.05675e11	−	7.06098e10i	0.0185814	−	0.0124157i	0.564826	+	0.825210i	$0.308943\pi$
$684$	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	0.234092	−	0.972215i	$-0.424788\pi$
$691$	4.92881e12	−	9.80401e11i	0.822415	−	0.163588i	0.588323	+	0.808626i	$0.299788\pi$
$692$	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	0.887253	−	0.461283i	$-0.152611\pi$
$701$	5.11867e12	+	3.42019e12i	0.800619	+	0.534957i	−0.0866334	+	0.996240i	$0.527611\pi$
$702$	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	−0.0453966	−	0.998969i	$-0.514455\pi$
$709$	−3.15981e12	−	6.28525e11i	−0.469627	−	0.0934145i	−0.424230	+	0.905555i	$0.639455\pi$
$710$	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	0.595966	−	0.803009i	$-0.296769\pi$
$719$	−1.48368e12	−	1.48368e12i	−0.207043	−	0.207043i	−0.803009	+	0.595966i	$0.796769\pi$
$720$	−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	−0.727299	−	0.686321i	$-0.759224\pi$
$727$	−5.69618e12	+	2.35944e12i	−0.756274	+	0.313259i	−0.0289754	+	0.999580i	$0.509224\pi$
$728$	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	−0.824962	−	0.565188i	$-0.808804\pi$
$733$	1.00840e11	−	1.50918e11i	0.0129023	−	0.0193096i	0.837865	+	0.545878i	$0.183804\pi$
$734$	−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	−0.951496	−	0.307663i	$-0.900453\pi$
$739$	−2.45771e12	+	3.67822e12i	−0.303131	+	0.453667i	0.648365	+	0.761330i	$0.275453\pi$
$740$	−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	0.487630	−	0.873050i	$-0.337861\pi$
$743$	1.78684e12	+	7.40133e11i	0.215098	+	0.0890964i	−0.272533	+	0.962146i	$0.587861\pi$
$744$	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	0.00710526	−	0.999975i	$-0.497738\pi$
$751$	8.77897e12	−	8.77897e12i	1.00708	−	1.00708i	0.999975	−	0.00710526i	$-0.00226169\pi$
$752$	−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	0.821977	−	0.569521i	$-0.192871\pi$
$757$	−1.69402e11	−	2.53527e11i	−0.0187493	−	0.0280604i	−0.840726	+	0.541461i	$0.817871\pi$
$758$	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	−0.632638	−	0.774447i	$-0.718028\pi$
$761$	3.35216e12	−	8.09283e12i	0.362321	−	0.874721i	0.994960	−	0.100274i	$-0.0319719\pi$
$762$	−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	0.133338	−	0.991071i	$-0.457431\pi$
$773$	−1.21842e12	−	2.42358e11i	−0.122741	−	0.0244147i	−0.256078	+	0.966656i	$0.582431\pi$
$774$	−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	0.857798	+	0.513987i	$0.171832\pi$
$787$	2.81950e12	+	1.41746e13i	0.261990	+	1.31711i	−0.595808	+	0.803127i	$0.703168\pi$
$788$	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	0.197148	+	0.980374i	$0.436832\pi$
$797$	−8.93106e12	+	1.33663e13i	−0.784045	+	1.17341i	−0.981192	+	0.193032i	$0.938168\pi$
$798$	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	−0.667294	−	0.744795i	$-0.732547\pi$
$809$	−7.46223e12	+	3.09096e12i	−0.612492	+	0.253703i	0.0548015	+	0.998497i	$0.482547\pi$
$810$	−3.76235e13	−	1.17572e13i	−3.07098	−	0.959667i
$811$	1.75080e13	−	1.16985e13i	1.42116	−	0.949587i	0.422084	−	0.906557i	$-0.361299\pi$
$811$	1.75080e13	−	1.16985e13i	1.42116	−	0.949587i	0.999074	−	0.0430306i	$-0.0137013\pi$
$812$	−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	0.702757	−	0.711430i	$-0.251952\pi$
$821$	−2.90890e12	−	4.35348e12i	−0.223452	−	0.334420i	−0.926209	+	0.377010i	$0.876952\pi$
$822$	3.91509e12	−	2.05078e12i	0.299102	−	0.156674i
$823$	2.43603e12	+	5.88110e12i	0.185090	+	0.446848i	0.989002	−	0.147901i	$-0.0472516\pi$
$823$	2.43603e12	+	5.88110e12i	0.185090	+	0.446848i	−0.803912	+	0.594748i	$0.797252\pi$
$824$	−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	0.809183	−	0.587556i	$-0.199910\pi$
$827$	1.79165e13	+	3.56382e12i	1.33192	+	0.264936i	0.522740	+	0.852492i	$0.324910\pi$
$828$	−3.29427e13	+	2.12240e13i	−2.43569	+	1.56924i
$829$	−1.57827e13	−	1.05456e13i	−1.16061	−	0.775492i	−0.182419	−	0.983221i	$-0.558393\pi$
$829$	−1.57827e13	−	1.05456e13i	−1.16061	−	0.775492i	−0.978186	+	0.207729i	$0.933393\pi$
$830$	−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	−0.979286	−	0.202482i	$-0.935099\pi$
$839$	−2.06174e12	+	4.97748e12i	−0.143650	+	0.346801i	0.835636	+	0.549283i	$0.185099\pi$
$840$	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	−0.838375	−	0.545095i	$-0.816494\pi$
$853$	−1.01371e13	+	6.77338e12i	−0.655605	+	0.438061i	0.182770	+	0.983156i	$0.441494\pi$
$854$	−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	0.294957	−	0.955510i	$-0.404695\pi$
$857$	−2.71804e12	−	1.12585e12i	−0.172124	−	0.0712962i	−0.467082	+	0.884214i	$0.654695\pi$
$858$	−2.54417e13	+	3.04778e13i	−1.60270	+	1.91996i
$859$	1.79370e12	−	9.01755e12i	0.112404	−	0.565092i	−0.883004	−	0.469366i	$-0.844483\pi$
$859$	1.79370e12	−	9.01755e12i	0.112404	−	0.565092i	0.995408	−	0.0957264i	$-0.0305174\pi$
$860$	−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	$0.217804\pi$
$863$			2.05997e13i			1.26419i	−0.774892	+	0.632094i	$0.782196\pi$
$864$	−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	0.969722	+	0.244209i	$0.0785285\pi$
$877$	2.93034e12	+	1.47318e13i	0.167271	+	0.840926i	−0.802452	+	0.596717i	$0.796472\pi$
$878$	−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	0.0380084	−	0.999277i	$-0.487899\pi$
$881$	−1.71884e13	−	1.71884e13i	−0.961269	−	0.961269i	−0.999277	+	0.0380084i	$0.987899\pi$
$882$	3.82047e13	−	1.12415e13i	2.12573	−	0.625485i
$883$	−2.72495e13	+	5.42026e12i	−1.50846	+	0.300052i	−0.878941	−	0.476930i	$-0.841750\pi$
$883$	−2.72495e13	+	5.42026e12i	−1.50846	+	0.300052i	−0.629523	+	0.776982i	$0.716750\pi$
$884$	−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	0.999652	+	0.0263919i	$0.00840177\pi$
$887$	5.74181e12	+	1.38620e13i	0.311453	+	0.751914i	−0.688199	+	0.725522i	$0.741598\pi$
$888$	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	−0.994172	−	0.107808i	$-0.965617\pi$
$907$	−1.45384e13	−	2.17583e13i	−0.713321	−	1.06756i	0.280851	−	0.959751i	$-0.409383\pi$
$908$	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	0.524522	−	0.851397i	$-0.324244\pi$
$911$	−6.79539e12	−	6.79539e12i	−0.326875	−	0.326875i	−0.851397	+	0.524522i	$0.824244\pi$
$912$	−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	0.226265	−	0.974066i	$-0.427348\pi$
$919$	2.32455e13	−	9.62861e12i	1.07503	−	0.445291i	0.848762	+	0.528775i	$0.177348\pi$
$920$	−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	$0.200414\pi$
$929$			2.67360e13i			1.17768i	−0.808251	+	0.588838i	$0.799586\pi$
$930$	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	0.183447	−	0.983030i	$-0.441274\pi$
$937$	2.37906e13	−	9.85439e12i	1.00827	−	0.417639i	0.824824	+	0.565390i	$0.191274\pi$
$938$	−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	−0.884492	−	0.466555i	$-0.845495\pi$
$941$	−5.91371e12	−	2.97302e13i	−0.245871	−	1.23608i	0.638622	−	0.769521i	$-0.279505\pi$
$942$	−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	−0.937159	−	0.348903i	$-0.886554\pi$
$947$	−4.13191e13	+	8.21889e12i	−1.66946	+	0.332076i	−0.732302	+	0.680980i	$0.761554\pi$
$948$	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	−0.982107	−	0.188325i	$-0.939694\pi$
$953$	−3.93377e12	+	9.49697e12i	−0.154487	+	0.372964i	0.827620	+	0.561289i	$0.189694\pi$
$954$	−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	−0.491968	−	0.870614i	$-0.663722\pi$
$967$	1.28210e13	−	3.09526e13i	0.471523	−	1.13836i	0.963490	−	0.267743i	$-0.0862779\pi$
$968$	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	0.507862	−	0.861438i	$-0.330436\pi$
$971$	−1.33614e13	−	1.99968e13i	−0.482354	−	0.721893i	−0.990216	+	0.139545i	$0.955436\pi$
$972$	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	−0.523156	+	0.852237i	$0.675246\pi$
$977$	−3.91699e13	+	3.91699e13i	−1.37539	+	1.37539i	−0.852237	+	0.523156i	$0.824754\pi$
$978$	−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	−0.312575	−	0.949893i	$-0.601192\pi$
$983$	4.04213e12	−	1.67431e12i	0.138076	−	0.0571931i	0.450652	+	0.892700i	$0.351192\pi$
$984$	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	$0.201604\pi$
$991$			3.59399e13i			1.18371i	−0.806044	+	0.591855i	$0.798396\pi$
$992$	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	−0.935174	−	0.354189i	$-0.884757\pi$
$997$	2.00779e12	−	1.00939e13i	0.0643563	−	0.323541i	0.999530	+	0.0306479i	$0.00975707\pi$
$998$	−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.5.19	✓	568
64.13	even	16	inner	64.10.i.a.13.19	yes	568

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
64.10.i.a.5.19	✓	568	1.1	even	1	trivial
64.10.i.a.13.19	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+(-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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