LMFDB - Embedded newform 27.11.f.a.2.16

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [27,11,Mod(2,27)] 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("27.2"); S:= CuspForms(chi, 11); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(27, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([1])) N = Newforms(chi, 11, names="a")

Level:	$ N $	$=$	$ 27 = 3^{3} $
Weight:	$ k $	$=$	$ 11 $
Character orbit:	$[\chi]$	$=$	27.f (of order $18$, degree $6$, 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:	$17.1546458222$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			2.16
Character	$\chi$	$=$	27.2
Dual form			27.11.f.a.14.16

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(9.76434 + 1.72172i) q^{2} +(232.294 - 71.3331i) q^{3} +(-869.867 - 316.606i) q^{4} +(730.470 + 870.540i) q^{5} +(2391.01 - 296.575i) q^{6} +(5090.69 - 1852.86i) q^{7} +(-16741.3 - 9665.57i) q^{8} +(48872.2 - 33140.5i) q^{9} +(5633.73 + 9757.91i) q^{10} +(91550.1 - 109105. i) q^{11} +(-224650. - 11495.4i) q^{12} +(-97770.9 - 554486. i) q^{13} +(52897.3 - 9327.22i) q^{14} +(231782. + 150115. i) q^{15} +(579315. + 486103. i) q^{16} +(-2.01008e6 + 1.16052e6i) q^{17} +(534263. - 239451. i) q^{18} +(1.39534e6 - 2.41680e6i) q^{19} +(-359794. - 988525. i) q^{20} +(1.05037e6 - 793543. i) q^{21} +(1.08177e6 - 907717. i) q^{22} +(2.60042e6 - 7.14459e6i) q^{23} +(-4.57837e6 - 1.05105e6i) q^{24} +(1.47153e6 - 8.34546e6i) q^{25} -5.58252e6i q^{26} +(8.98871e6 - 1.11846e7i) q^{27} -5.01485e6 q^{28} +(-6.76784e6 - 1.19335e6i) q^{29} +(2.00474e6 + 1.86483e6i) q^{30} +(-3.80933e6 - 1.38648e6i) q^{31} +(1.75437e7 + 2.09078e7i) q^{32} +(1.34838e7 - 3.18751e7i) q^{33} +(-2.16252e7 + 7.87092e6i) q^{34} +(5.33158e6 + 3.07819e6i) q^{35} +(-5.30048e7 + 1.33546e7i) q^{36} +(4.89006e7 + 8.46984e7i) q^{37} +(1.77856e7 - 2.11961e7i) q^{38} +(-6.22648e7 - 1.21830e8i) q^{39} +(-3.81472e6 - 2.16344e7i) q^{40} +(5.15717e7 - 9.09347e6i) q^{41} +(1.16224e7 - 5.93999e6i) q^{42} +(-1.89737e7 - 1.59208e7i) q^{43} +(-1.14180e8 + 6.59217e7i) q^{44} +(6.45498e7 + 1.83371e7i) q^{45} +(3.76923e7 - 6.52851e7i) q^{46} +(1.36256e8 + 3.74360e8i) q^{47} +(1.69247e8 + 7.15946e7i) q^{48} +(-1.93907e8 + 1.62707e8i) q^{49} +(2.87370e7 - 7.89543e7i) q^{50} +(-3.84146e8 + 4.12967e8i) q^{51} +(-9.05058e7 + 5.13284e8i) q^{52} +2.78276e7i q^{53} +(1.07025e8 - 9.37337e7i) q^{54} +1.61855e8 q^{55} +(-1.03134e8 - 1.81852e7i) q^{56} +(1.51732e8 - 6.60942e8i) q^{57} +(-6.40289e7 - 2.33046e7i) q^{58} +(2.76035e8 + 3.28966e8i) q^{59} +(-1.54093e8 - 2.03963e8i) q^{60} +(-7.87175e8 + 2.86508e8i) q^{61} +(-3.48085e7 - 2.00967e7i) q^{62} +(1.87388e8 - 2.59261e8i) q^{63} +(-2.51890e8 - 4.36287e8i) q^{64} +(4.11284e8 - 4.90149e8i) q^{65} +(1.86540e8 - 2.88024e8i) q^{66} +(-2.34123e8 - 1.32778e9i) q^{67} +(2.11593e9 - 3.73095e8i) q^{68} +(9.44166e7 - 1.84514e9i) q^{69} +(4.67596e7 + 3.92360e7i) q^{70} +(1.50712e9 - 8.70137e8i) q^{71} +(-1.13850e9 + 8.24364e7i) q^{72} +(-1.57408e9 + 2.72638e9i) q^{73} +(3.31656e8 + 9.11217e8i) q^{74} +(-2.53479e8 - 2.04357e9i) q^{75} +(-1.97893e9 + 1.66052e9i) q^{76} +(2.63897e8 - 7.25050e8i) q^{77} +(-3.98219e8 - 1.29679e9i) q^{78} +(-1.33314e8 + 7.56063e8i) q^{79} +8.59401e8i q^{80} +(1.29020e9 - 3.23930e9i) q^{81} +5.19219e8 q^{82} +(3.95108e9 + 6.96682e8i) q^{83} +(-1.16492e9 + 3.57725e8i) q^{84} +(-2.47858e9 - 9.02129e8i) q^{85} +(-1.57855e8 - 1.88124e8i) q^{86} +(-1.65726e9 + 2.05562e8i) q^{87} +(-2.58723e9 + 9.41675e8i) q^{88} +(5.22351e9 + 3.01580e9i) q^{89} +(5.98715e8 + 2.90186e8i) q^{90} +(-1.52511e9 - 2.64156e9i) q^{91} +(-4.52404e9 + 5.39154e9i) q^{92} +(-9.83787e8 - 5.03407e7i) q^{93} +(6.85907e8 + 3.88997e9i) q^{94} +(3.12317e9 - 5.50700e8i) q^{95} +(5.56673e9 + 3.60532e9i) q^{96} +(5.31342e9 + 4.45849e9i) q^{97} +(-2.17350e9 + 1.25487e9i) q^{98} +(8.58453e8 - 8.36623e9i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 4965 q^{5} + 18234 q^{6} - 6 q^{7} - 9 q^{8} + 119124 q^{9} - 3 q^{10} - 978 q^{11} - 1015107 q^{12} - 6 q^{13} + 2134569 q^{14} - 2548539 q^{15} - 3078 q^{16} - 9 q^{17}+ \cdots - 72892391589 q^{99}+O(q^{100}) $ 174 * q - 6 * q^2 - 6 * q^3 - 6 * q^4 - 4965 * q^5 + 18234 * q^6 - 6 * q^7 - 9 * q^8 + 119124 * q^9 - 3 * q^10 - 978 * q^11 - 1015107 * q^12 - 6 * q^13 + 2134569 * q^14 - 2548539 * q^15 - 3078 * q^16 - 9 * q^17 + 6676947 * q^18 - 3 * q^19 + 15925353 * q^20 - 21049824 * q^21 + 10420410 * q^22 + 8437692 * q^23 + 87359400 * q^24 - 14881965 * q^25 - 60562494 * q^27 - 12 * q^28 + 7820868 * q^29 + 216153117 * q^30 - 51711531 * q^31 + 76244832 * q^32 - 198927081 * q^33 + 92236410 * q^34 - 260153622 * q^35 + 199074744 * q^36 - 3 * q^37 + 250645020 * q^38 + 152777949 * q^39 - 26151153 * q^40 - 837714012 * q^41 - 1627952634 * q^42 - 213300456 * q^43 + 2245906431 * q^44 + 1041263847 * q^45 - 3 * q^46 - 1685998563 * q^47 - 1664196711 * q^48 - 183168366 * q^49 + 2548576023 * q^50 + 1007158626 * q^51 - 912655665 * q^52 - 1206704682 * q^54 - 12 * q^55 - 4260806997 * q^56 - 1000586442 * q^57 - 496853331 * q^58 + 1806342150 * q^59 + 1176655374 * q^60 - 1784159286 * q^61 + 2786630112 * q^62 + 2270781765 * q^63 + 8858370045 * q^64 - 2961878001 * q^65 - 5594499243 * q^66 - 915608058 * q^67 + 11412166995 * q^68 - 7767764199 * q^69 + 1945422669 * q^70 - 5512912173 * q^71 - 15991303644 * q^72 + 2110132140 * q^73 + 22008588729 * q^74 + 15296936925 * q^75 + 11875694586 * q^76 - 2702962221 * q^77 - 12511026108 * q^78 + 6660721974 * q^79 + 440880768 * q^81 - 12 * q^82 + 7670489421 * q^83 - 31766160684 * q^84 - 6965484381 * q^85 - 33241766118 * q^86 - 10927113525 * q^87 + 28790289402 * q^88 + 34430237370 * q^89 + 12602186028 * q^90 - 991980102 * q^91 + 40280154009 * q^92 + 57140838285 * q^93 - 62587945905 * q^94 - 12104972679 * q^95 - 78182924274 * q^96 + 48297833958 * q^97 - 103117506282 * q^98 - 72892391589 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/27\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{18}\right)$

Coefficient data

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

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

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

$2$	9.76434	+	1.72172i	0.305136	+	0.0538036i	0.324119	−	0.946016i	$-0.394932\pi$
$2$	9.76434	+	1.72172i	0.305136	+	0.0538036i	−0.0189839	+	0.999820i	$0.506043\pi$
$3$	232.294	−	71.3331i	0.955943	−	0.293552i
$3$	232.294	−	71.3331i	0.955943	−	0.293552i
$4$	−869.867	−	316.606i	−0.849480	−	0.309185i
$5$	730.470	+	870.540i	0.233750	+	0.278573i	0.870150	−	0.492786i	$-0.164022\pi$
$5$	730.470	+	870.540i	0.233750	+	0.278573i	−0.636400	+	0.771359i	$0.719577\pi$
$6$	2391.01	−	296.575i	0.307486	−	0.0381398i
$7$	5090.69	−	1852.86i	0.302891	−	0.110243i	−0.186104	−	0.982530i	$-0.559586\pi$
$7$	5090.69	−	1852.86i	0.302891	−	0.110243i	0.488995	+	0.872287i	$0.337364\pi$
$8$	−16741.3	−	9665.57i	−0.510903	−	0.294970i
$9$	48872.2	−	33140.5i	0.827655	−	0.561237i
$10$	5633.73	+	9757.91i	0.0563373	+	0.0975791i
$11$	91550.1	−	109105.i	0.568454	−	0.677457i	−0.402859	−	0.915262i	$-0.631983\pi$
$11$	91550.1	−	109105.i	0.568454	−	0.677457i	0.971313	+	0.237805i	$0.0764278\pi$
$12$	−224650.	−	11495.4i	−0.902816	−	0.0461974i
$13$	−97770.9	−	554486.i	−0.263325	−	1.49339i	−0.773762	−	0.633477i	$-0.781627\pi$
$13$	−97770.9	−	554486.i	−0.263325	−	1.49339i	0.510436	−	0.859916i	$-0.329484\pi$
$14$	52897.3	−	9327.22i	0.0983543	−	0.0173425i
$15$	231782.	+	150115.i	0.305228	+	0.197682i
$16$	579315.	+	486103.i	0.552478	+	0.463584i
$17$	−2.01008e6	+	1.16052e6i	−1.41569	+	0.817349i	−0.995916	−	0.0902795i	$-0.971224\pi$
$17$	−2.01008e6	+	1.16052e6i	−1.41569	+	0.817349i	−0.419774	+	0.907629i	$0.637891\pi$
$18$	534263.	−	239451.i	0.282744	−	0.126723i
$19$	1.39534e6	−	2.41680e6i	0.563523	−	0.976051i	−0.433662	−	0.901076i	$-0.642779\pi$
$19$	1.39534e6	−	2.41680e6i	0.563523	−	0.976051i	0.997185	−	0.0749753i	$-0.0238878\pi$
$20$	−359794.	−	988525.i	−0.112436	−	0.308914i
$21$	1.05037e6	−	793543.i	0.257184	−	0.194301i
$22$	1.08177e6	−	907717.i	0.209905	−	0.176131i
$23$	2.60042e6	−	7.14459e6i	0.404021	−	1.11004i	−0.556261	−	0.831008i	$-0.687764\pi$
$23$	2.60042e6	−	7.14459e6i	0.404021	−	1.11004i	0.960282	−	0.279032i	$-0.0900134\pi$
$24$	−4.57837e6	−	1.05105e6i	−0.574983	−	0.131998i
$25$	1.47153e6	−	8.34546e6i	0.150685	−	0.854575i
$26$		−	5.58252e6i		−	0.469855i
$27$	8.98871e6	−	1.11846e7i	0.626439	−	0.779471i
$28$	−5.01485e6			−0.291385
$29$	−6.76784e6	−	1.19335e6i	−0.329959	−	0.0581807i	0.00621461	−	0.999981i	$-0.498022\pi$
$29$	−6.76784e6	−	1.19335e6i	−0.329959	−	0.0581807i	−0.336174	+	0.941800i	$0.609133\pi$
$30$	2.00474e6	+	1.86483e6i	0.0824998	+	0.0767422i
$31$	−3.80933e6	−	1.38648e6i	−0.133058	−	0.0484291i	0.274633	−	0.961549i	$-0.411444\pi$
$31$	−3.80933e6	−	1.38648e6i	−0.133058	−	0.0484291i	−0.407691	+	0.913120i	$0.633666\pi$
$32$	1.75437e7	+	2.09078e7i	0.522844	+	0.623101i
$33$	1.34838e7	−	3.18751e7i	0.344541	−	0.814482i
$34$	−2.16252e7	+	7.87092e6i	−0.475954	+	0.173233i
$35$	5.33158e6	+	3.07819e6i	0.101512	+	0.0586078i
$36$	−5.30048e7	+	1.33546e7i	−0.876602	+	0.220861i
$37$	4.89006e7	+	8.46984e7i	0.705189	+	1.22142i	0.966623	+	0.256203i	$0.0824714\pi$
$37$	4.89006e7	+	8.46984e7i	0.705189	+	1.22142i	−0.261434	+	0.965221i	$0.584195\pi$
$38$	1.77856e7	−	2.11961e7i	0.224466	−	0.267508i
$39$	−6.22648e7	−	1.21830e8i	−0.690112	−	1.35030i
$40$	−3.81472e6	−	2.16344e7i	−0.0372531	−	0.211273i
$41$	5.15717e7	−	9.09347e6i	0.445135	−	0.0784893i	0.0534121	−	0.998573i	$-0.482990\pi$
$41$	5.15717e7	−	9.09347e6i	0.445135	−	0.0784893i	0.391723	+	0.920083i	$0.371879\pi$
$42$	1.16224e7	−	5.93999e6i	0.0889302	−	0.0454505i
$43$	−1.89737e7	−	1.59208e7i	−0.129065	−	0.108299i	0.575970	−	0.817471i	$-0.304624\pi$
$43$	−1.89737e7	−	1.59208e7i	−0.129065	−	0.108299i	−0.705035	+	0.709172i	$0.749069\pi$
$44$	−1.14180e8	+	6.59217e7i	−0.692350	+	0.399729i
$45$	6.45498e7	+	1.83371e7i	0.349810	+	0.0993727i
$46$	3.76923e7	−	6.52851e7i	0.183005	−	0.316975i
$47$	1.36256e8	+	3.74360e8i	0.594109	+	1.63230i	0.762801	+	0.646633i	$0.223823\pi$
$47$	1.36256e8	+	3.74360e8i	0.594109	+	1.63230i	−0.168692	+	0.985669i	$0.553954\pi$
$48$	1.69247e8	+	7.15946e7i	0.664223	+	0.280979i
$49$	−1.93907e8	+	1.62707e8i	−0.686455	+	0.576004i
$50$	2.87370e7	−	7.89543e7i	0.0919585	−	0.252654i
$51$	−3.84146e8	+	4.12967e8i	−1.11339	+	1.19692i
$52$	−9.05058e7	+	5.13284e8i	−0.238045	+	1.35002i
$53$			2.78276e7i			0.0665420i	0.999446	+	0.0332710i	$0.0105924\pi$
$53$			2.78276e7i			0.0665420i	−0.999446	+	0.0332710i	$0.989408\pi$
$54$	1.07025e8	−	9.37337e7i	0.233087	−	0.204140i
$55$	1.61855e8			0.321598
$56$	−1.03134e8	−	1.81852e7i	−0.187266	−	0.0330201i
$57$	1.51732e8	−	6.60942e8i	0.252175	−	1.09847i
$58$	−6.40289e7	−	2.33046e7i	−0.0975519	−	0.0355060i
$59$	2.76035e8	+	3.28966e8i	0.386104	+	0.460140i	0.923731	−	0.383042i	$-0.125124\pi$
$59$	2.76035e8	+	3.28966e8i	0.386104	+	0.460140i	−0.537627	+	0.843183i	$0.680679\pi$
$60$	−1.54093e8	−	2.03963e8i	−0.198164	−	0.262299i
$61$	−7.87175e8	+	2.86508e8i	−0.932013	+	0.339225i	−0.763007	−	0.646390i	$-0.776278\pi$
$61$	−7.87175e8	+	2.86508e8i	−0.932013	+	0.339225i	−0.169006	+	0.985615i	$0.554056\pi$
$62$	−3.48085e7	−	2.00967e7i	−0.0379950	−	0.0219364i
$63$	1.87388e8	−	2.59261e8i	0.188817	−	0.261237i
$64$	−2.51890e8	−	4.36287e8i	−0.234591	−	0.406324i
$65$	4.11284e8	−	4.90149e8i	0.354466	−	0.422436i
$66$	1.86540e8	−	2.88024e8i	0.148954	−	0.229990i
$67$	−2.34123e8	−	1.32778e9i	−0.173409	−	0.983449i	−0.939965	−	0.341272i	$-0.889142\pi$
$67$	−2.34123e8	−	1.32778e9i	−0.173409	−	0.983449i	0.766556	−	0.642177i	$-0.221969\pi$
$68$	2.11593e9	−	3.73095e8i	1.45531	−	0.256611i
$69$	9.44166e7	−	1.84514e9i	0.0603675	−	1.17974i
$70$	4.67596e7	+	3.92360e7i	0.0278215	+	0.0233450i
$71$	1.50712e9	−	8.70137e8i	0.835327	−	0.482276i	−0.0203463	−	0.999793i	$-0.506477\pi$
$71$	1.50712e9	−	8.70137e8i	0.835327	−	0.482276i	0.855673	+	0.517517i	$0.173144\pi$
$72$	−1.13850e9	+	8.24364e7i	−0.588399	+	0.0426046i
$73$	−1.57408e9	+	2.72638e9i	−0.759297	+	1.31514i	0.183912	+	0.982943i	$0.441124\pi$
$73$	−1.57408e9	+	2.72638e9i	−0.759297	+	1.31514i	−0.943209	+	0.332199i	$0.892209\pi$
$74$	3.31656e8	+	9.11217e8i	0.149461	+	0.410642i
$75$	−2.53479e8	−	2.04357e9i	−0.106816	−	0.861159i
$76$	−1.97893e9	+	1.66052e9i	−0.780482	+	0.654902i
$77$	2.63897e8	−	7.25050e8i	0.0974945	−	0.267864i
$78$	−3.98219e8	−	1.29679e9i	−0.137927	−	0.449155i
$79$	−1.33314e8	+	7.56063e8i	−0.0433253	+	0.245710i	−0.998777	−	0.0494368i	$-0.984257\pi$
$79$	−1.33314e8	+	7.56063e8i	−0.0433253	+	0.245710i	0.955452	+	0.295147i	$0.0953685\pi$
$80$			8.59401e8i			0.262268i
$81$	1.29020e9	−	3.23930e9i	0.370025	−	0.929022i
$82$	5.19219e8			0.140050
$83$	3.95108e9	+	6.96682e8i	1.00306	+	0.176866i	0.650971	−	0.759102i	$-0.274362\pi$
$83$	3.95108e9	+	6.96682e8i	1.00306	+	0.176866i	0.352085	+	0.935968i	$0.385473\pi$
$84$	−1.16492e9	+	3.57725e8i	−0.278548	+	0.0855367i
$85$	−2.47858e9	−	9.02129e8i	−0.558609	−	0.203317i
$86$	−1.57855e8	−	1.88124e8i	−0.0335556	−	0.0399900i
$87$	−1.65726e9	+	2.05562e8i	−0.332501	+	0.0412426i
$88$	−2.58723e9	+	9.41675e8i	−0.490255	+	0.178438i
$89$	5.22351e9	+	3.01580e9i	0.935433	+	0.540072i	0.888526	−	0.458827i	$-0.151730\pi$
$89$	5.22351e9	+	3.01580e9i	0.935433	+	0.540072i	0.0469071	+	0.998899i	$0.485064\pi$
$90$	5.98715e8	+	2.90186e8i	0.101393	+	0.0491432i
$91$	−1.52511e9	−	2.64156e9i	−0.244395	−	0.423305i
$92$	−4.52404e9	+	5.39154e9i	−0.686416	+	0.818039i
$93$	−9.83787e8	−	5.03407e7i	−0.141412	−	0.00723610i
$94$	6.85907e8	+	3.88997e9i	0.0934601	+	0.530039i
$95$	3.12317e9	−	5.50700e8i	0.403625	−	0.0711700i
$96$	5.56673e9	+	3.60532e9i	0.682722	+	0.442168i
$97$	5.31342e9	+	4.45849e9i	0.618750	+	0.519193i	0.897410	−	0.441197i	$-0.145446\pi$
$97$	5.31342e9	+	4.45849e9i	0.618750	+	0.519193i	−0.278660	+	0.960390i	$0.589890\pi$
$98$	−2.17350e9	+	1.25487e9i	−0.240453	+	0.138826i
$99$	8.58453e8	−	8.36623e9i	0.0902694	−	0.879739i
$100$	−3.92225e9	+	6.79354e9i	−0.392225	+	0.679354i
$101$	−4.09754e9	−	1.12579e10i	−0.389867	−	1.07115i	−0.967061	−	0.254543i	$-0.918075\pi$
$101$	−4.09754e9	−	1.12579e10i	−0.389867	−	1.07115i	0.577195	−	0.816607i	$-0.304147\pi$
$102$	−4.46194e9	+	3.37096e9i	−0.404132	+	0.305318i
$103$	5.15709e9	−	4.32731e9i	0.444855	−	0.373278i	−0.392667	−	0.919681i	$-0.628448\pi$
$103$	5.15709e9	−	4.32731e9i	0.444855	−	0.373278i	0.837523	+	0.546403i	$0.184003\pi$
$104$	−3.72262e9	+	1.02278e10i	−0.305972	+	0.840652i
$105$	1.45807e9	+	3.34728e8i	0.114244	+	0.0262268i
$106$	−4.79112e7	+	2.71718e8i	−0.00358020	+	0.0203043i
$107$			1.70630e9i			0.121657i	0.998148	+	0.0608283i	$0.0193742\pi$
$107$			1.70630e9i			0.121657i	−0.998148	+	0.0608283i	$0.980626\pi$
$108$	−1.13601e10	+	6.88320e9i	−0.773148	+	0.468459i
$109$	−1.42006e10			−0.922940			−0.461470	−	0.887156i	$-0.652678\pi$
$109$	−1.42006e10			−0.922940			−0.461470	+	0.887156i	$0.652678\pi$
$110$	1.58041e9	+	2.78668e8i	0.0981309	+	0.0173031i
$111$	1.74011e10	+	1.61867e10i	1.03267	+	0.960602i
$112$	3.84979e9	+	1.40121e9i	0.218448	+	0.0795085i
$113$	3.04620e9	+	3.63031e9i	0.165335	+	0.197039i	0.842350	−	0.538930i	$-0.181171\pi$
$113$	3.04620e9	+	3.63031e9i	0.165335	+	0.197039i	−0.677015	+	0.735969i	$0.736727\pi$
$114$	2.61951e9	−	6.19242e9i	0.136049	−	0.321615i
$115$	8.11918e9	−	2.95514e9i	0.403667	−	0.146923i
$116$	5.50930e9	+	3.18080e9i	0.262305	+	0.151442i
$117$	−2.31542e10	−	2.38588e10i	−1.05609	−	1.08823i
$118$	2.12891e9	+	3.68739e9i	0.0930567	+	0.161179i
$119$	−8.08240e9	+	9.63223e9i	−0.338693	+	0.403638i
$120$	−2.42938e9	−	4.75342e9i	−0.0976314	−	0.191029i
$121$	9.81469e8	+	5.56619e9i	0.0378399	+	0.214601i
$122$	−8.17953e9	+	1.44227e9i	−0.302642	+	0.0533639i
$123$	1.13311e10	−	5.79112e9i	0.402483	−	0.205701i
$124$	2.87464e9	+	2.41211e9i	0.0980563	+	0.0822790i
$125$	1.79509e10	−	1.03640e10i	0.588215	−	0.339606i
$126$	2.27610e9	−	2.20889e9i	0.0716702	−	0.0695537i
$127$	2.48060e10	−	4.29652e10i	0.750823	−	1.30046i	−0.196602	−	0.980483i	$-0.562991\pi$
$127$	2.48060e10	−	4.29652e10i	0.750823	−	1.30046i	0.947424	−	0.319979i	$-0.103676\pi$
$128$	−1.12672e10	−	3.09565e10i	−0.327920	−	0.900953i
$129$	−5.54316e9	−	2.34486e9i	−0.155171	−	0.0656401i
$130$	4.85981e9	−	4.07787e9i	0.130889	−	0.109829i
$131$	7.53479e9	−	2.07017e10i	0.195306	−	0.536598i	−0.802924	−	0.596082i	$-0.796723\pi$
$131$	7.53479e9	−	2.07017e10i	0.195306	−	0.536598i	0.998229	+	0.0594843i	$0.0189456\pi$
$132$	−2.18209e10	+	2.34580e10i	−0.544507	+	0.585358i
$133$	2.62525e9	−	1.48885e10i	0.0630830	−	0.357762i
$134$		−	1.33680e10i		−	0.309415i
$135$	1.63026e10	−	3.44944e8i	0.363570	−	0.00769271i
$136$	4.48683e10			0.964374
$137$	−4.45846e10	−	7.86147e9i	−0.923809	−	0.162893i	−0.308542	−	0.951211i	$-0.599841\pi$
$137$	−4.45846e10	−	7.86147e9i	−0.923809	−	0.162893i	−0.615268	+	0.788318i	$0.710952\pi$
$138$	4.09873e9	−	1.78541e10i	0.0818943	−	0.356731i
$139$	−5.67901e10	−	2.06699e10i	−1.09446	−	0.398350i	−0.269187	−	0.963088i	$-0.586755\pi$
$139$	−5.67901e10	−	2.06699e10i	−1.09446	−	0.398350i	−0.825270	+	0.564738i	$0.808977\pi$
$140$	−3.66320e9	−	4.36563e9i	−0.0681114	−	0.0811721i
$141$	5.83557e10	+	7.72422e10i	1.04710	+	1.38599i
$142$	1.62142e10	−	5.90147e9i	0.280836	−	0.102216i
$143$	−6.94482e10	−	4.00960e10i	−1.16140	−	0.670534i
$144$	4.44221e10	+	4.55812e9i	0.717442	+	0.0736162i
$145$	−3.90484e9	−	6.76338e9i	−0.0609205	−	0.105517i
$146$	−2.00639e10	+	2.39112e10i	−0.302448	+	0.360444i
$147$	−3.34370e10	+	5.16278e10i	−0.487125	+	0.752137i
$148$	−1.57211e10	−	8.91586e10i	−0.221398	−	1.25561i
$149$	2.63585e10	−	4.64771e9i	0.358913	−	0.0632860i	0.00871566	−	0.999962i	$-0.497226\pi$
$149$	2.63585e10	−	4.64771e9i	0.358913	−	0.0632860i	0.350197	+	0.936676i	$0.386115\pi$
$150$	1.04339e9	−	2.03905e10i	0.0137401	−	0.268517i
$151$	6.85614e10	+	5.75299e10i	0.873364	+	0.732839i	0.964804	−	0.262972i	$-0.0847025\pi$
$151$	6.85614e10	+	5.75299e10i	0.873364	+	0.732839i	−0.0914401	+	0.995811i	$0.529147\pi$
$152$	−4.67195e10	+	2.69735e10i	−0.575811	+	0.332445i
$153$	−5.97767e10	+	1.23332e11i	−0.712976	+	1.47102i
$154$	3.82511e9	−	6.62528e9i	0.0441611	−	0.0764893i
$155$	−1.57561e9	−	4.32896e9i	−0.0176113	−	0.0483866i
$156$	1.55901e10	+	1.25689e11i	0.168744	+	1.36042i
$157$	2.63558e10	−	2.21151e10i	0.276298	−	0.231841i	−0.494100	−	0.869405i	$-0.664502\pi$
$157$	2.63558e10	−	2.21151e10i	0.276298	−	0.231841i	0.770398	+	0.637564i	$0.220058\pi$
$158$	−2.60345e9	+	7.15292e9i	−0.0264402	+	0.0726437i
$159$	1.98503e9	+	6.46418e9i	0.0195335	+	0.0636104i
$160$	−5.38592e9	+	3.05451e10i	−0.0513641	+	0.291300i
$161$		−	4.11891e10i		−	0.380762i
$162$	1.81751e10	−	2.94083e10i	0.162893	−	0.263569i
$163$	9.83964e10			0.855147			0.427574	−	0.903980i	$-0.359368\pi$
$163$	9.83964e10			0.855147			0.427574	+	0.903980i	$0.359368\pi$
$164$	−4.77395e10	−	8.41777e9i	−0.402401	−	0.0709541i
$165$	3.75980e10	−	1.15456e10i	0.307429	−	0.0944055i
$166$	3.73802e10	+	1.36053e10i	0.296552	+	0.107936i
$167$	6.03873e10	+	7.19668e10i	0.464904	+	0.554051i	0.946652	−	0.322259i	$-0.104442\pi$
$167$	6.03873e10	+	7.19668e10i	0.464904	+	0.554051i	−0.481747	+	0.876310i	$0.659998\pi$
$168$	−2.52545e10	+	3.13251e9i	−0.188709	+	0.0234070i
$169$	−1.68351e11	+	6.12748e10i	−1.22119	+	0.444476i
$170$	−2.26485e10	−	1.30761e10i	−0.159512	−	0.0920945i
$171$	−1.19007e10	−	1.64356e11i	−0.0813936	−	1.12410i
$172$	1.14640e10	+	1.98562e10i	0.0761541	+	0.131903i
$173$	−1.90747e11	+	2.27323e11i	−1.23091	+	1.46694i	−0.394446	+	0.918919i	$0.629063\pi$
$173$	−1.90747e11	+	2.27323e11i	−1.23091	+	1.46694i	−0.836464	+	0.548022i	$0.815381\pi$
$174$	−1.65359e10	−	8.46149e8i	−0.103677	−	0.00530518i
$175$	−7.97186e9	−	4.52107e10i	−0.0485701	−	0.275455i
$176$	1.06073e11	−	1.87035e10i	0.628117	−	0.110754i
$177$	8.75874e10	+	5.67264e10i	0.504168	+	0.326527i
$178$	4.58118e10	+	3.84407e10i	0.256376	+	0.215125i
$179$	1.56842e11	−	9.05525e10i	0.853485	−	0.492760i	−0.00834007	−	0.999965i	$-0.502655\pi$
$179$	1.56842e11	−	9.05525e10i	0.853485	−	0.492760i	0.861825	+	0.507205i	$0.169321\pi$
$180$	−5.03441e10	−	3.63876e10i	−0.266432	−	0.192571i
$181$	9.50694e10	−	1.64665e11i	0.489382	−	0.847634i	−0.510543	−	0.859852i	$-0.670556\pi$
$181$	9.50694e10	−	1.64665e11i	0.489382	−	0.847634i	0.999925	+	0.0122175i	$0.00388906\pi$
$182$	−1.03436e10	−	2.84189e10i	−0.0517984	−	0.142315i
$183$	−1.62419e11	+	1.22706e11i	−0.791372	+	0.597874i
$184$	−1.12591e11	+	9.44750e10i	−0.533844	+	0.447948i
$185$	−3.80129e10	+	1.04440e11i	−0.175417	+	0.481955i
$186$	−9.51936e9	−	2.18535e9i	−0.0427605	−	0.00981648i
$187$	−5.74042e10	+	3.25556e11i	−0.251036	+	1.42370i
$188$		−	3.68783e11i		−	1.57030i
$189$	2.50353e10	−	7.35919e10i	0.103811	−	0.305155i
$190$	3.14439e10			0.126990
$191$	2.84347e11	+	5.01380e10i	1.11862	+	0.197242i	0.702233	−	0.711947i	$-0.252186\pi$
$191$	2.84347e11	+	5.01380e10i	1.11862	+	0.197242i	0.416383	+	0.909189i	$0.363297\pi$
$192$	−8.96343e10	−	8.33788e10i	−0.343533	−	0.319558i
$193$	−3.45011e11	−	1.25574e11i	−1.28839	−	0.468934i	−0.395190	−	0.918600i	$-0.629321\pi$
$193$	−3.45011e11	−	1.25574e11i	−1.28839	−	0.468934i	−0.893197	+	0.449665i	$0.851543\pi$
$194$	4.42058e10	+	5.26824e10i	0.160868	+	0.191715i
$195$	6.05750e10	−	1.43197e11i	0.214843	−	0.507879i
$196$	2.20187e11	−	8.01415e10i	0.761222	−	0.277062i
$197$	7.33732e10	+	4.23620e10i	0.247290	+	0.142773i	0.618523	−	0.785767i	$-0.287731\pi$
$197$	7.33732e10	+	4.23620e10i	0.247290	+	0.142773i	−0.371233	+	0.928540i	$0.621065\pi$
$198$	2.27865e10	−	8.02127e10i	0.0748776	−	0.263583i
$199$	1.47036e10	+	2.54674e10i	0.0471150	+	0.0816055i	0.888621	−	0.458642i	$-0.151664\pi$
$199$	1.47036e10	+	2.54674e10i	0.0471150	+	0.0816055i	−0.841506	+	0.540248i	$0.818331\pi$
$200$	−1.05299e11	+	1.25490e11i	−0.329059	+	0.392157i
$201$	−1.49100e11	−	2.91735e11i	−0.454462	−	0.889217i
$202$	−2.06269e10	−	1.16981e11i	−0.0613304	−	0.347822i
$203$	−3.66641e10	+	6.46487e9i	−0.106356	+	0.0187534i
$204$	4.64904e11	−	2.37603e11i	1.31587	−	0.672515i
$205$	4.55878e10	+	3.82527e10i	0.125915	+	0.105656i
$206$	5.78060e10	−	3.33743e10i	0.155825	−	0.0899655i
$207$	−1.09687e11	−	4.35351e11i	−0.288606	−	1.14548i
$208$	2.12897e11	−	3.68749e11i	0.546831	−	0.947140i
$209$	−1.35942e11	−	3.73497e11i	−0.340896	−	0.936603i
$210$	1.36608e10	+	5.77878e9i	0.0334488	+	0.0141495i
$211$	−2.84751e11	+	2.38935e11i	−0.680854	+	0.571304i	−0.916256	−	0.400594i	$-0.868804\pi$
$211$	−2.84751e11	+	2.38935e11i	−0.680854	+	0.571304i	0.235402	+	0.971898i	$0.424359\pi$
$212$	8.81037e9	−	2.42063e10i	0.0205738	−	0.0565261i
$213$	2.88026e11	−	3.09635e11i	0.656952	−	0.706240i
$214$	−2.93776e9	+	1.66609e10i	−0.00654557	+	0.0371218i
$215$		−	2.81471e10i		−	0.0612690i
$216$	−2.58588e11	+	1.00362e11i	−0.549970	+	0.213453i
$217$	−2.19611e10			−0.0456410
$218$	−1.38659e11	−	2.44494e10i	−0.281622	−	0.0496575i
$219$	−1.71168e11	+	7.45607e11i	−0.339783	+	1.48009i
$220$	−1.40792e11	−	5.12442e10i	−0.273191	−	0.0994333i
$221$	8.40019e11	+	1.00110e12i	1.59341	+	1.89895i
$222$	1.42042e11	+	1.88012e11i	0.263421	+	0.348675i
$223$	−6.32896e11	+	2.30355e11i	−1.14765	+	0.417709i	−0.844669	−	0.535288i	$-0.820203\pi$
$223$	−6.32896e11	+	2.30355e11i	−1.14765	+	0.417709i	−0.302978	+	0.952998i	$0.597981\pi$
$224$	1.28049e11	+	7.39291e10i	0.227058	+	0.131092i
$225$	−2.04656e11	−	4.56628e11i	−0.354905	−	0.791863i
$226$	2.34937e10	+	4.06923e10i	0.0398483	+	0.0690192i
$227$	−3.61935e11	+	4.31337e11i	−0.600483	+	0.715628i	−0.977584	−	0.210544i	$-0.932476\pi$
$227$	−3.61935e11	+	4.31337e11i	−0.600483	+	0.715628i	0.377101	+	0.926172i	$0.376921\pi$
$228$	−3.41244e11	+	5.26893e11i	−0.553849	+	0.855161i
$229$	1.14407e11	+	6.48833e11i	0.181666	+	1.03028i	0.930164	+	0.367144i	$0.119664\pi$
$229$	1.14407e11	+	6.48833e11i	0.181666	+	1.03028i	−0.748498	+	0.663137i	$0.769225\pi$
$230$	8.43664e10	−	1.48761e10i	0.131078	−	0.0231126i
$231$	9.58162e9	−	1.87250e11i	0.0145673	−	0.284682i
$232$	1.01768e11	+	8.53933e10i	0.151416	+	0.127053i
$233$	1.15475e12	−	6.66693e11i	1.68154	−	0.970837i	0.720900	−	0.693039i	$-0.243729\pi$
$233$	1.15475e12	−	6.66693e11i	1.68154	−	0.970837i	0.960639	−	0.277799i	$-0.0896048\pi$
$234$	−1.85008e11	−	2.72830e11i	−0.263700	−	0.388878i
$235$	−2.26365e11	+	3.92075e11i	−0.315842	+	0.547054i
$236$	−1.35961e11	−	3.73551e11i	−0.185719	−	0.510258i
$237$	2.29641e10	+	1.85139e11i	0.0307120	+	0.247603i
$238$	−9.55033e10	+	8.01368e10i	−0.125064	+	0.104941i
$239$	−3.08851e11	+	8.48562e11i	−0.396059	+	1.08816i	0.568128	+	0.822940i	$0.307668\pi$
$239$	−3.08851e11	+	8.48562e11i	−0.396059	+	1.08816i	−0.964187	+	0.265223i	$0.914554\pi$
$240$	6.13037e10	+	1.99634e11i	0.0769893	+	0.250714i
$241$	−1.28256e11	+	7.27376e11i	−0.157758	+	0.894692i	0.798462	+	0.602045i	$0.205647\pi$
$241$	−1.28256e11	+	7.27376e11i	−0.157758	+	0.894692i	−0.956220	+	0.292647i	$0.905464\pi$
$242$			5.60400e10i			0.0675182i
$243$	6.86363e10	−	8.44504e11i	0.0810069	−	0.996714i
$244$	7.75448e11			0.896610
$245$	−2.83286e11	−	4.99509e10i	−0.320918	−	0.0565865i
$246$	1.20612e11	−	3.70375e10i	0.133879	−	0.0411118i
$247$	−1.47650e12	−	5.37404e11i	−1.60602	−	0.584542i
$248$	5.03719e10	+	6.00308e10i	0.0536945	+	0.0639906i
$249$	9.67509e11	−	1.20007e11i	1.01078	−	0.125375i
$250$	1.93122e11	−	7.02908e10i	0.197757	−	0.0719778i
$251$	−6.45499e11	−	3.72679e11i	−0.647928	−	0.374081i	0.139734	−	0.990189i	$-0.455375\pi$
$251$	−6.45499e11	−	3.72679e11i	−0.647928	−	0.374081i	−0.787662	+	0.616108i	$0.788709\pi$
$252$	−2.45087e11	+	1.66195e11i	−0.241167	+	0.163536i
$253$	−5.41444e11	−	9.37808e11i	−0.522337	−	0.904714i
$254$	3.16188e11	−	3.76818e11i	0.299072	−	0.356421i
$255$	−6.40111e11	−	3.27547e10i	−0.593683	−	0.0303790i
$256$	3.28612e10	+	1.86365e11i	0.0298871	+	0.169498i
$257$	1.72649e12	−	3.04427e11i	1.53992	−	0.271530i	0.661694	−	0.749774i	$-0.269838\pi$
$257$	1.72649e12	−	3.04427e11i	1.53992	−	0.271530i	0.878227	+	0.478245i	$0.158727\pi$
$258$	−5.00881e10	−	3.24398e10i	−0.0438164	−	0.0283779i
$259$	4.05872e11	+	3.40567e11i	0.348249	+	0.292216i
$260$	−5.12946e11	+	2.96150e11i	−0.431723	+	0.249255i
$261$	−3.70307e11	+	1.65968e11i	−0.305745	+	0.137032i
$262$	1.09215e11	−	1.89165e11i	0.0884656	−	0.153227i
$263$	6.95859e11	+	1.91186e12i	0.553022	+	1.51942i	0.829563	+	0.558413i	$0.188590\pi$
$263$	6.95859e11	+	1.91186e12i	0.553022	+	1.51942i	−0.276541	+	0.961002i	$0.589188\pi$
$264$	−5.33826e11	+	4.03301e11i	−0.416275	+	0.314492i
$265$	−2.42250e10	+	2.03272e10i	−0.0185368	+	0.0155542i
$266$	5.12677e10	−	1.40857e11i	0.0384978	−	0.105772i
$267$	1.42852e12	+	3.27943e11i	1.05276	+	0.241681i
$268$	−2.16726e11	+	1.22912e12i	−0.156761	+	0.889036i
$269$		−	1.87314e12i		−	1.32987i	−0.746900	−	0.664936i	$-0.768459\pi$
$269$		−	1.87314e12i		−	1.32987i	0.746900	−	0.664936i	$-0.231541\pi$
$270$	1.59778e11	+	2.47003e10i	0.111352	+	0.0172140i
$271$	2.14524e12			1.46767			0.733836	−	0.679326i	$-0.237728\pi$
$271$	2.14524e12			1.46767			0.733836	+	0.679326i	$0.237728\pi$
$272$	−1.72860e12	−	3.04799e11i	−1.16105	−	0.204724i
$273$	−5.42704e11	−	5.04829e11i	−0.357890	−	0.332913i
$274$	−4.21804e11	−	1.53524e11i	−0.273123	−	0.0994086i
$275$	−7.75814e11	−	9.24579e11i	−0.493281	−	0.587869i
$276$	−6.66313e11	+	1.57514e12i	−0.416038	+	0.983497i
$277$	3.44549e11	−	1.25406e11i	0.211277	−	0.0768985i	−0.234214	−	0.972185i	$-0.575252\pi$
$277$	3.44549e11	−	1.25406e11i	0.211277	−	0.0768985i	0.445491	+	0.895287i	$0.353029\pi$
$278$	−5.18930e11	−	2.99604e11i	−0.312525	−	0.180436i
$279$	−2.32119e11	+	5.84827e10i	−0.137306	+	0.0345945i
$280$	−5.95050e10	−	1.03066e11i	−0.0345751	−	0.0598858i
$281$	−4.66244e11	+	5.55648e11i	−0.266122	+	0.317152i	−0.882513	−	0.470288i	$-0.844150\pi$
$281$	−4.66244e11	+	5.55648e11i	−0.266122	+	0.317152i	0.616390	+	0.787441i	$0.288594\pi$
$282$	4.36816e11	+	8.54691e11i	0.244936	+	0.479251i
$283$	−4.79508e11	−	2.71942e12i	−0.264158	−	1.49811i	−0.771423	−	0.636323i	$-0.780454\pi$
$283$	−4.79508e11	−	2.71942e12i	−0.264158	−	1.49811i	0.507265	−	0.861790i	$-0.330657\pi$
$284$	−1.58649e12	+	2.79740e11i	−0.858706	+	0.151413i
$285$	6.86212e11	−	3.50710e11i	0.364950	−	0.186519i
$286$	−6.09082e11	−	5.11081e11i	−0.318307	−	0.267091i
$287$	2.45686e11	−	1.41847e11i	0.126174	−	0.0728469i
$288$	1.55030e12	+	4.40402e11i	0.782442	+	0.222273i
$289$	1.68561e12	−	2.91957e12i	0.836119	−	1.44820i
$290$	−2.64836e10	−	7.27630e10i	−0.0129118	−	0.0354749i
$291$	1.55231e12	+	6.56659e11i	0.743900	+	0.314684i
$292$	2.23243e12	−	1.87323e12i	1.05163	−	0.882423i
$293$	−2.86057e10	+	7.85935e10i	−0.0132469	+	0.0363956i	−0.946140	−	0.323758i	$-0.895054\pi$
$293$	−2.86057e10	+	7.85935e10i	−0.0132469	+	0.0363956i	0.932893	+	0.360154i	$0.117276\pi$
$294$	−4.15379e11	+	4.46543e11i	−0.189107	+	0.203295i
$295$	−8.47426e10	+	4.80599e11i	−0.0379308	+	0.215116i
$296$		−	1.89061e12i		−	0.832039i
$297$	−3.97375e11	−	2.00466e12i	−0.171956	−	0.867479i
$298$	2.65375e11			0.112922
$299$	−4.21582e12	−	7.43363e11i	−1.76411	−	0.311061i
$300$	−4.26513e11	+	1.85789e12i	−0.175520	+	0.764563i
$301$	−1.26088e11	−	4.58924e10i	−0.0510320	−	0.0185741i
$302$	5.70407e11	+	6.79784e11i	0.227065	+	0.270605i
$303$	−1.75489e12	−	2.32285e12i	−0.687128	−	0.909513i
$304$	1.98315e12	−	7.21809e11i	0.763816	−	0.278006i
$305$	−8.24424e11	−	4.75982e11i	−0.312357	−	0.180340i
$306$	−7.96023e11	+	1.10134e12i	−0.296701	+	0.410500i
$307$	1.21694e12	+	2.10780e12i	0.446249	+	0.772925i	0.998138	−	0.0609919i	$-0.0194264\pi$
$307$	1.21694e12	+	2.10780e12i	0.446249	+	0.772925i	−0.551890	+	0.833917i	$0.686093\pi$
$308$	−4.59110e11	+	5.47146e11i	−0.165639	+	0.197401i
$309$	8.89282e11	−	1.37308e12i	0.315680	−	0.487420i
$310$	−7.93157e9	−	4.49822e10i	−0.00277045	−	0.0157120i
$311$	2.16670e12	−	3.82048e11i	0.744728	−	0.131316i	0.211607	−	0.977355i	$-0.432130\pi$
$311$	2.16670e12	−	3.82048e11i	0.744728	−	0.131316i	0.533121	+	0.846039i	$0.321019\pi$
$312$	−1.35162e11	+	2.64141e12i	−0.0457173	+	0.893434i
$313$	2.62100e12	+	2.19928e12i	0.872459	+	0.732080i	0.964614	−	0.263665i	$-0.0849313\pi$
$313$	2.62100e12	+	2.19928e12i	0.872459	+	0.732080i	−0.0921556	+	0.995745i	$0.529376\pi$
$314$	2.95423e11	−	1.70562e11i	0.0967822	−	0.0558772i
$315$	3.62579e11	−	2.62535e10i	0.116910	−	0.00846513i
$316$	3.55340e11	−	6.15466e11i	0.112774	−	0.195330i
$317$	−2.23723e11	−	6.14673e11i	−0.0698898	−	0.192021i	0.899830	−	0.436241i	$-0.143690\pi$
$317$	−2.23723e11	−	6.14673e11i	−0.0698898	−	0.192021i	−0.969720	+	0.244220i	$0.921468\pi$
$318$	8.25297e9	+	6.65361e10i	0.00253790	+	0.0204608i
$319$	−7.49798e11	+	6.29155e11i	−0.226982	+	0.190460i
$320$	1.95807e11	−	5.37975e11i	0.0583550	−	0.160329i
$321$	1.21715e11	+	3.96363e11i	0.0357125	+	0.116297i
$322$	7.09160e10	−	4.02185e11i	0.0204864	−	0.116184i
$323$			6.47727e12i			1.84238i
$324$	−2.14788e12	+	2.40928e12i	−0.601569	+	0.674779i
$325$	−4.77131e12			−1.31589
$326$	9.60775e11	+	1.69411e11i	0.260936	+	0.0460100i
$327$	−3.29871e12	+	1.01297e12i	−0.882278	+	0.270931i
$328$	−9.51268e11	−	3.46233e11i	−0.250573	−	0.0912010i
$329$	1.38727e12	+	1.65329e12i	0.359901	+	0.428913i
$330$	3.86998e11	−	4.80022e10i	0.0988869	−	0.0122657i
$331$	−3.10019e12	+	1.12838e12i	−0.780275	+	0.283997i	−0.701287	−	0.712879i	$-0.747391\pi$
$331$	−3.10019e12	+	1.12838e12i	−0.780275	+	0.283997i	−0.0789876	+	0.996876i	$0.525169\pi$
$332$	−3.21634e12	−	1.85696e12i	−0.797392	−	0.460374i
$333$	5.19683e12	+	2.51880e12i	1.26916	+	0.615139i
$334$	4.65736e11	+	8.06678e11i	0.112049	+	0.194074i
$335$	9.84865e11	−	1.17372e12i	0.233428	−	0.278189i
$336$	9.94238e11	+	5.08755e10i	0.232163	+	0.0118799i
$337$	1.52350e11	+	8.64020e11i	0.0350504	+	0.198781i	0.997305	−	0.0733712i	$-0.0233758\pi$
$337$	1.52350e11	+	8.64020e11i	0.0350504	+	0.198781i	−0.962254	+	0.272152i	$0.912265\pi$
$338$	−1.74933e12	+	3.08455e11i	−0.396542	+	0.0699211i
$339$	9.66575e11	+	6.26007e11i	0.215892	+	0.139824i
$340$	1.87042e12	+	1.56947e12i	0.411665	+	0.345428i
$341$	−5.00017e11	+	2.88685e11i	−0.108446	+	0.0626113i
$342$	1.66773e11	−	1.62532e12i	0.0356448	−	0.347383i
$343$	−1.45079e12	+	2.51283e12i	−0.305585	+	0.529289i
$344$	1.63760e11	+	4.49927e11i	0.0339950	+	0.0934006i
$345$	1.67524e12	−	1.26563e12i	0.342753	−	0.258947i
$346$	−2.25390e12	+	1.89125e12i	−0.454521	+	0.381389i
$347$	7.41989e11	−	2.03860e12i	0.147486	−	0.405214i	−0.843848	−	0.536583i	$-0.819715\pi$
$347$	7.41989e11	−	2.03860e12i	0.147486	−	0.405214i	0.991334	+	0.131369i	$0.0419372\pi$
$348$	1.50667e12	+	3.45885e11i	0.295205	+	0.0677697i
$349$	2.94960e11	−	1.67280e12i	0.0569687	−	0.323085i	−0.942984	−	0.332839i	$-0.891994\pi$
$349$	2.94960e11	−	1.67280e12i	0.0569687	−	0.323085i	0.999952	+	0.00975339i	$0.00310465\pi$
$350$		−	4.55178e11i		−	0.0866644i
$351$	−7.08051e12	−	3.89059e12i	−1.32901	−	0.730264i
$352$	3.88728e12			0.719338
$353$	3.94518e12	+	6.95641e11i	0.719768	+	0.126915i	0.521522	−	0.853238i	$-0.325364\pi$
$353$	3.94518e12	+	6.95641e11i	0.719768	+	0.126915i	0.198246	+	0.980152i	$0.436475\pi$
$354$	7.57567e11	+	7.04696e11i	0.136271	+	0.126761i
$355$	1.85840e12	+	6.76401e11i	0.329607	+	0.119967i
$356$	−3.58894e12	−	4.27714e12i	−0.627649	−	0.748003i
$357$	−1.19040e12	+	2.81405e12i	−0.205282	+	0.485279i
$358$	1.68736e12	−	6.14149e11i	0.286941	−	0.104438i
$359$	7.45582e12	+	4.30462e12i	1.25033	+	0.721876i	0.971174	−	0.238371i	$-0.0766133\pi$
$359$	7.45582e12	+	4.30462e12i	1.25033	+	0.721876i	0.279152	+	0.960247i	$0.409947\pi$
$360$	−9.03407e11	−	9.30896e11i	−0.149407	−	0.153953i
$361$	−8.28410e11	−	1.43485e12i	−0.135117	−	0.234029i
$362$	1.21180e12	−	1.44416e12i	0.194934	−	0.232313i
$363$	6.25043e11	+	1.22298e12i	0.0991692	+	0.194038i
$364$	4.90306e11	+	2.78066e12i	0.0767292	+	0.435153i
$365$	−3.52324e12	+	6.21243e11i	−0.543849	+	0.0958952i
$366$	−1.79718e12	+	9.18502e11i	−0.273643	+	0.139854i
$367$	−9.02162e12	−	7.57004e12i	−1.35505	−	1.13702i	−0.977478	−	0.211037i	$-0.932316\pi$
$367$	−9.02162e12	−	7.57004e12i	−1.35505	−	1.13702i	−0.377568	−	0.925982i	$-0.623240\pi$
$368$	4.97947e12	−	2.87490e12i	0.737810	−	0.425975i
$369$	2.21906e12	−	2.15353e12i	0.324367	−	0.314789i
$370$	−5.50986e11	+	9.54336e11i	−0.0794570	+	0.137624i
$371$	5.15606e10	+	1.41661e11i	0.00733581	+	0.0201550i
$372$	8.39826e11	+	3.55263e11i	0.117889	+	0.0498695i
$373$	4.91460e12	−	4.12384e12i	0.680681	−	0.571159i	−0.235524	−	0.971869i	$-0.575681\pi$
$373$	4.91460e12	−	4.12384e12i	0.680681	−	0.571159i	0.916205	+	0.400709i	$0.131236\pi$
$374$	−1.12103e12	+	3.08000e12i	−0.153200	+	0.420914i
$375$	3.43060e12	−	3.68798e12i	0.462608	−	0.497316i
$376$	1.33731e12	−	7.58426e12i	0.177948	−	1.00919i
$377$			3.86935e12i			0.508079i
$378$	3.71158e11	−	6.75472e11i	0.0480950	−	0.0875283i
$379$	−1.29597e13			−1.65729			−0.828644	−	0.559776i	$-0.810887\pi$
$379$	−1.29597e13			−1.65729			−0.828644	+	0.559776i	$0.810887\pi$
$380$	−2.89110e12	−	5.09779e11i	−0.364876	−	0.0643375i
$381$	2.69744e12	−	1.17500e13i	0.335991	−	1.46357i
$382$	2.69013e12	+	9.79129e11i	0.330717	+	0.120371i
$383$	1.92502e12	+	2.29415e12i	0.233583	+	0.278374i	0.870085	−	0.492901i	$-0.164064\pi$
$383$	1.92502e12	+	2.29415e12i	0.233583	+	0.278374i	−0.636502	+	0.771275i	$0.719619\pi$
$384$	−4.82554e12	−	6.38729e12i	−0.577949	−	0.764998i
$385$	8.23954e11	−	2.99895e11i	0.0974090	−	0.0354540i
$386$	−3.15260e12	−	1.82015e12i	−0.367902	−	0.212408i
$387$	−1.45491e12	−	1.49288e11i	−0.167603	−	0.0171976i
$388$	−3.21039e12	−	5.56055e12i	−0.365089	−	0.632353i
$389$	7.27420e12	−	8.66906e12i	0.816653	−	0.973249i	−0.183299	−	0.983057i	$-0.558678\pi$
$389$	7.27420e12	−	8.66906e12i	0.816653	−	0.973249i	0.999952	+	0.00980854i	$0.00312220\pi$
$390$	8.38019e11	−	1.29393e12i	0.0928819	−	0.143413i
$391$	3.06439e12	+	1.73790e13i	0.335321	+	1.90170i
$392$	4.81890e12	−	8.49702e11i	0.520616	−	0.0917986i
$393$	2.73575e11	−	5.34635e12i	0.0291819	−	0.570289i
$394$	6.43505e11	+	5.39965e11i	0.0677752	+	0.0568702i
$395$	−7.55565e11	+	4.36226e11i	−0.0785754	+	0.0453655i
$396$	−3.39554e12	+	7.00572e12i	−0.348684	+	0.719410i
$397$	−9.62497e12	+	1.66709e13i	−0.975994	+	1.69047i	−0.299377	+	0.954135i	$0.596779\pi$
$397$	−9.62497e12	+	1.66709e13i	−0.975994	+	1.69047i	−0.676617	+	0.736336i	$0.736554\pi$
$398$	9.97235e10	+	2.73988e11i	0.00998578	+	0.0274357i
$399$	−4.52214e11	−	3.64579e12i	−0.0447177	−	0.360518i
$400$	4.90923e12	−	4.11933e12i	0.479417	−	0.402279i
$401$	1.92149e12	−	5.27926e12i	0.185318	−	0.509157i	−0.811892	−	0.583808i	$-0.801562\pi$
$401$	1.92149e12	−	5.27926e12i	0.185318	−	0.509157i	0.997210	+	0.0746513i	$0.0237844\pi$
$402$	−9.53579e11	−	3.10530e12i	−0.0908294	−	0.295784i
$403$	−3.96344e11	+	2.24778e12i	−0.0372861	+	0.211460i
$404$			1.10902e13i			1.03046i
$405$	3.76239e12	−	1.24304e12i	0.345294	−	0.114080i
$406$	−3.69131e11			−0.0334619
$407$	1.37179e13	+	2.41883e12i	1.22833	+	0.216588i
$408$	1.04227e13	−	3.20060e12i	0.921887	−	0.283094i
$409$	−8.56325e12	−	3.11677e12i	−0.748208	−	0.272325i	−0.0603565	−	0.998177i	$-0.519224\pi$
$409$	−8.56325e12	−	3.11677e12i	−0.748208	−	0.272325i	−0.687851	+	0.725851i	$0.741446\pi$
$410$	3.79274e11	+	4.52001e11i	0.0327366	+	0.0390140i
$411$	−1.09175e13	+	1.35418e12i	−0.930927	+	0.115470i
$412$	−5.85604e12	+	2.13142e12i	−0.493308	+	0.179549i
$413$	2.01473e12	+	1.16321e12i	0.167675	+	0.0968071i
$414$	−3.21473e11	−	4.43977e12i	−0.0264328	−	0.365055i
$415$	2.27965e12	+	3.94848e12i	0.185195	+	0.320767i
$416$	9.87783e12	−	1.17719e13i	0.792857	−	0.944890i
$417$	−1.46665e13	−	7.50487e11i	−1.16317	−	0.0595200i
$418$	−6.84326e11	−	3.88100e12i	−0.0536267	−	0.304132i
$419$	−8.08155e12	+	1.42500e12i	−0.625784	+	0.110343i	−0.477543	−	0.878609i	$-0.658472\pi$
$419$	−8.08155e12	+	1.42500e12i	−0.625784	+	0.110343i	−0.148242	+	0.988951i	$0.547361\pi$
$420$	−1.16235e12	−	7.52803e11i	−0.0889389	−	0.0576016i
$421$	2.24021e12	+	1.87976e12i	0.169386	+	0.142132i	0.723540	−	0.690282i	$-0.242514\pi$
$421$	2.24021e12	+	1.87976e12i	0.169386	+	0.142132i	−0.554154	+	0.832414i	$0.686958\pi$
$422$	−3.19179e12	+	1.84278e12i	−0.238491	+	0.137693i
$423$	1.90656e13	+	1.37802e13i	1.40783	+	1.01755i
$424$	2.68969e11	−	4.65869e11i	0.0196279	−	0.0339965i
$425$	6.72717e12	+	1.84828e13i	0.485163	+	1.33298i
$426$	3.34549e12	−	2.52748e12i	0.238458	−	0.180153i
$427$	−3.47640e12	+	2.91705e12i	−0.244901	+	0.205496i
$428$	5.40224e11	−	1.48425e12i	0.0376145	−	0.103345i
$429$	−1.89926e13	−	4.36010e12i	−1.30707	−	0.300062i
$430$	4.84613e10	−	2.74837e11i	0.00329650	−	0.0186954i
$431$			1.60453e13i			1.07885i	0.842034	+	0.539424i	$0.181358\pi$
$431$			1.60453e13i			1.07885i	−0.842034	+	0.539424i	$0.818642\pi$
$432$	1.06441e13	−	2.10994e12i	0.707444	−	0.140233i
$433$	6.62048e12			0.434961			0.217480	−	0.976065i	$-0.430216\pi$
$433$	6.62048e12			0.434961			0.217480	+	0.976065i	$0.430216\pi$
$434$	−2.14435e11	−	3.78107e10i	−0.0139267	−	0.00245565i
$435$	−1.38953e12	−	1.29255e12i	−0.0892113	−	0.0829853i
$436$	1.23526e13	+	4.49598e12i	0.784019	+	0.285359i
$437$	−1.36386e13	−	1.62538e13i	−0.855780	−	1.01988i
$438$	−2.95506e12	+	6.98565e12i	−0.183314	+	0.433348i
$439$	−5.78807e12	+	2.10669e12i	−0.354986	+	0.129204i	−0.513357	−	0.858175i	$-0.671598\pi$
$439$	−5.78807e12	+	2.10669e12i	−0.354986	+	0.129204i	0.158370	+	0.987380i	$0.449376\pi$
$440$	−2.70966e12	−	1.56442e12i	−0.164305	−	0.0948616i
$441$	−4.08445e12	+	1.43780e13i	−0.244873	+	0.861997i
$442$	6.47862e12	+	1.12213e13i	0.384036	+	0.665169i
$443$	−1.50123e13	+	1.78910e13i	−0.879892	+	1.04861i	0.118557	+	0.992947i	$0.462173\pi$
$443$	−1.50123e13	+	1.78910e13i	−0.879892	+	1.04861i	−0.998449	+	0.0556674i	$0.982271\pi$
$444$	−1.00119e13	−	1.95896e13i	−0.580230	−	1.13530i
$445$	1.19025e12	+	6.75023e12i	0.0682083	+	0.386828i
$446$	−6.57642e12	+	1.15960e12i	−0.372662	+	0.0657104i
$447$	5.79139e12	−	2.95987e12i	0.324523	−	0.165857i
$448$	−2.09067e12	−	1.75428e12i	−0.115850	−	0.0972097i
$449$	−1.27163e12	+	7.34175e11i	−0.0696832	+	0.0402316i	−0.534437	−	0.845208i	$-0.679476\pi$
$449$	−1.27163e12	+	7.34175e11i	−0.0696832	+	0.0402316i	0.464754	+	0.885440i	$0.346143\pi$
$450$	−1.21215e12	−	4.81103e12i	−0.0656889	−	0.260721i
$451$	3.72925e12	−	6.45924e12i	0.199866	−	0.346178i
$452$	−1.50041e12	−	4.12233e12i	−0.0795274	−	0.218500i
$453$	2.00302e13	+	8.47316e12i	1.05001	+	0.444175i
$454$	−4.27669e12	+	3.58857e12i	−0.221732	+	0.186055i
$455$	1.18554e12	−	3.25725e12i	0.0607938	−	0.167030i
$456$	−8.92856e12	+	9.59843e12i	−0.452853	+	0.486829i
$457$	5.17002e12	−	2.93206e13i	0.259365	−	1.47093i	−0.525251	−	0.850948i	$-0.676028\pi$
$457$	5.17002e12	−	2.93206e13i	0.259365	−	1.47093i	0.784615	−	0.619983i	$-0.212861\pi$
$458$			6.53240e12i			0.324150i
$459$	−5.08813e12	+	3.29134e13i	−0.249744	+	1.61551i
$460$	−7.99823e12			−0.388333
$461$	2.47674e13	+	4.36716e12i	1.18953	+	0.209746i	0.733168	−	0.680048i	$-0.238041\pi$
$461$	2.47674e13	+	4.36716e12i	1.18953	+	0.209746i	0.456363	+	0.889794i	$0.349152\pi$
$462$	4.15949e11	−	1.81187e12i	0.0197620	−	0.0860830i
$463$	1.76898e13	+	6.43856e12i	0.831415	+	0.302610i	0.722440	−	0.691434i	$-0.243021\pi$
$463$	1.76898e13	+	6.43856e12i	0.831415	+	0.302610i	0.108976	+	0.994044i	$0.465243\pi$
$464$	−3.34062e12	−	3.98120e12i	−0.155324	−	0.185107i
$465$	−6.74803e11	−	8.93199e11i	−0.0310393	−	0.0410850i
$466$	1.24232e13	−	4.52167e12i	0.565332	−	0.205764i
$467$	−3.82331e13	−	2.20739e13i	−1.72130	−	0.993791i	−0.916280	−	0.400538i	$-0.868823\pi$
$467$	−3.82331e13	−	2.20739e13i	−1.72130	−	0.993791i	−0.805016	−	0.593253i	$-0.797843\pi$
$468$	1.25873e13	+	2.80847e13i	0.560664	+	1.25095i
$469$	−3.65204e12	−	6.32552e12i	−0.160943	−	0.278761i
$470$	−2.88534e12	+	3.43862e12i	−0.125808	+	0.149932i
$471$	4.54475e12	−	7.01725e12i	0.196068	−	0.302735i
$472$	−1.44153e12	−	8.17534e12i	−0.0615339	−	0.348976i
$473$	−3.47409e12	+	6.12576e11i	−0.146736	+	0.0258734i
$474$	−9.45267e10	+	1.84729e12i	−0.00395060	+	0.0772048i
$475$	−1.81160e13	−	1.52011e13i	−0.749194	−	0.628649i
$476$	1.00802e13	−	5.81983e12i	0.412511	−	0.238164i
$477$	9.22220e11	+	1.35999e12i	0.0373459	+	0.0550738i
$478$	−4.47671e12	+	7.75389e12i	−0.179399	+	0.310728i
$479$	−1.47401e13	−	4.04981e13i	−0.584552	−	1.60604i	−0.780311	−	0.625392i	$-0.784939\pi$
$479$	−1.47401e13	−	4.04981e13i	−0.584552	−	1.60604i	0.195758	−	0.980652i	$-0.437283\pi$
$480$	9.27755e11	+	7.47963e12i	0.0364105	+	0.293545i
$481$	4.21830e13	−	3.53958e13i	1.63837	−	1.37476i
$482$	−2.50467e12	+	6.88153e12i	−0.0962754	+	0.264515i
$483$	−2.93815e12	−	9.56799e12i	−0.111773	−	0.363986i
$484$	9.08539e11	−	5.15258e12i	0.0342072	−	0.193998i
$485$			7.88234e12i			0.293729i
$486$	2.12418e12	−	8.12785e12i	0.0783449	−	0.299774i
$487$	−2.86217e12			−0.104484			−0.0522421	−	0.998634i	$-0.516637\pi$
$487$	−2.86217e12			−0.104484			−0.0522421	+	0.998634i	$0.516637\pi$
$488$	1.59476e13	+	2.81199e12i	0.576229	+	0.101605i
$489$	2.28569e13	−	7.01891e12i	0.817472	−	0.251030i
$490$	−2.68010e12	−	9.75476e11i	−0.0948790	−	0.0345331i
$491$	−1.39531e13	−	1.66286e13i	−0.488947	−	0.582705i	0.464002	−	0.885834i	$-0.346413\pi$
$491$	−1.39531e13	−	1.66286e13i	−0.488947	−	0.582705i	−0.952949	+	0.303130i	$0.901969\pi$
$492$	−1.16901e13	+	1.45001e12i	−0.405501	+	0.0502973i
$493$	1.49888e13	−	5.45548e12i	0.514674	−	0.187326i
$494$	−1.34918e13	−	7.78951e12i	−0.458602	−	0.264774i
$495$	7.91021e12	−	5.36396e12i	0.266172	−	0.180493i
$496$	−1.53283e12	−	2.65494e12i	−0.0510605	−	0.0884395i
$497$	6.06004e12	−	7.22208e12i	0.199845	−	0.238166i
$498$	9.65371e12	+	4.93983e11i	0.315172	+	0.0161274i
$499$	−1.94500e12	−	1.10307e13i	−0.0628662	−	0.356532i	−0.999972	−	0.00748655i	$-0.997617\pi$
$499$	−1.94500e12	−	1.10307e13i	−0.0628662	−	0.356532i	0.937106	−	0.349046i	$-0.113494\pi$
$500$	−1.88962e13	+	3.33191e12i	−0.604678	+	0.106621i
$501$	1.91612e13	+	1.24099e13i	0.607064	+	0.393168i
$502$	−5.66122e12	−	4.75033e12i	−0.177579	−	0.149006i
$503$	1.22176e13	−	7.05384e12i	0.379443	−	0.219071i	−0.298133	−	0.954524i	$-0.596364\pi$
$503$	1.22176e13	−	7.05384e12i	0.379443	−	0.219071i	0.677576	+	0.735453i	$0.263031\pi$
$504$	−5.64303e12	+	2.52915e12i	−0.173524	+	0.0777716i
$505$	6.80732e12	−	1.17906e13i	0.207262	−	0.358988i
$506$	−3.67220e12	−	1.00893e13i	−0.110707	−	0.304164i
$507$	−3.47361e13	+	2.62428e13i	−1.03691	+	0.783375i
$508$	−3.51809e13	+	2.95203e13i	−1.03989	+	0.872574i
$509$	1.15341e13	−	3.16896e13i	0.337593	−	0.927530i	−0.648482	−	0.761230i	$-0.724596\pi$
$509$	1.15341e13	−	3.16896e13i	0.337593	−	0.927530i	0.986075	−	0.166300i	$-0.0531820\pi$
$510$	−6.19387e12	−	1.42192e12i	−0.179519	−	0.0412120i
$511$	−2.96154e12	+	1.67957e13i	−0.0849988	+	0.482052i
$512$			3.56102e13i			1.01210i
$513$	−1.44885e13	−	3.73301e13i	−0.407790	−	1.05069i
$514$	1.73822e13			0.484494
$515$	7.53420e12	+	1.32848e12i	0.207970	+	0.0366707i
$516$	4.07942e12	+	3.79472e12i	0.111519	+	0.103736i
$517$	5.33189e13	+	1.94065e13i	1.44354	+	0.525405i
$518$	3.37671e12	+	4.02421e12i	0.0905410	+	0.107903i
$519$	−2.80937e13	+	6.64123e13i	−0.746057	+	1.76365i
$520$	−1.16230e13	+	4.23042e12i	−0.305704	+	0.111267i
$521$	−1.24516e13	−	7.18892e12i	−0.324366	−	0.187273i	0.328971	−	0.944340i	$-0.393298\pi$
$521$	−1.24516e13	−	7.18892e12i	−0.324366	−	0.187273i	−0.653337	+	0.757067i	$0.726632\pi$
$522$	−3.90156e12	+	9.83003e11i	−0.100667	+	0.0253631i
$523$	−8.80340e12	−	1.52479e13i	−0.224979	−	0.389675i	0.731334	−	0.682019i	$-0.238898\pi$
$523$	−8.80340e12	−	1.52479e13i	−0.224979	−	0.389675i	−0.956313	+	0.292344i	$0.905565\pi$
$524$	−1.31085e13	+	1.56221e13i	−0.331816	+	0.395443i
$525$	−5.07683e12	−	9.93352e12i	−0.127291	−	0.249061i
$526$	3.50293e12	+	1.98661e13i	0.0869966	+	0.493382i
$527$	9.26609e12	−	1.63386e12i	0.227952	−	0.0401941i
$528$	2.33059e13	−	1.19112e13i	0.567932	−	0.290259i
$529$	−1.25485e13	−	1.05294e13i	−0.302910	−	0.254172i
$530$	−2.71539e11	+	1.56773e11i	−0.00649311	+	0.00374880i
$531$	2.43925e13	+	6.92933e12i	0.577809	+	0.164142i
$532$	−6.99742e12	+	1.21199e13i	−0.164202	+	0.284407i
$533$	−1.00844e13	−	2.77067e13i	−0.234431	−	0.644093i
$534$	1.33839e13	+	5.66165e12i	0.308231	+	0.130388i
$535$	−1.48540e12	+	1.24640e12i	−0.0338902	+	0.0284373i
$536$	−8.91423e12	+	2.44916e13i	−0.201493	+	0.553597i
$537$	2.99740e13	−	3.22228e13i	0.671233	−	0.721592i
$538$	3.22502e12	−	1.82900e13i	0.0715519	−	0.405791i
$539$			3.60521e13i			0.792476i
$540$	−1.42903e13	−	4.86144e12i	−0.311223	−	0.105876i
$541$	−1.37328e13			−0.296327			−0.148164	−	0.988963i	$-0.547336\pi$
$541$	−1.37328e13			−0.296327			−0.148164	+	0.988963i	$0.547336\pi$
$542$	2.09468e13	+	3.69349e12i	0.447839	+	0.0789661i
$543$	1.03380e13	−	4.50323e13i	0.218997	−	0.953949i
$544$	−5.95282e13	−	2.16665e13i	−1.24948	−	0.454772i
$545$	−1.03731e13	−	1.23622e13i	−0.215738	−	0.257106i
$546$	−4.42997e12	−	5.86370e12i	−0.0912931	−	0.120839i
$547$	5.29745e13	−	1.92811e13i	1.08176	−	0.393728i	0.261196	−	0.965286i	$-0.415883\pi$
$547$	5.29745e13	−	1.92811e13i	1.08176	−	0.393728i	0.820562	+	0.571558i	$0.193661\pi$
$548$	3.62937e13	+	2.09542e13i	0.734393	+	0.424002i
$549$	−2.89759e13	+	4.00897e13i	−0.580999	+	0.803842i
$550$	−5.98345e12	−	1.03636e13i	−0.118888	−	0.205920i
$551$	−1.23275e13	+	1.46914e13i	−0.242727	+	0.289271i
$552$	−1.94150e13	+	2.99775e13i	−0.378829	+	0.584924i
$553$	7.22216e11	+	4.09589e12i	0.0139650	+	0.0791996i
$554$	3.58021e12	−	6.31287e11i	0.0686055	−	0.0120970i
$555$	−1.38018e12	+	2.69723e13i	−0.0262102	+	0.512216i
$556$	4.28556e13	+	3.59601e13i	0.806555	+	0.676780i
$557$	3.50612e13	−	2.02426e13i	0.653959	−	0.377563i	−0.136012	−	0.990707i	$-0.543429\pi$
$557$	3.50612e13	−	2.02426e13i	0.653959	−	0.377563i	0.789971	+	0.613144i	$0.210095\pi$
$558$	−2.36718e12	+	1.71402e11i	−0.0437583	+	0.00316843i
$559$	−6.97281e12	+	1.20773e13i	−0.127746	+	0.221263i
$560$	1.59235e12	+	4.37494e12i	0.0289133	+	0.0794387i
$561$	9.88821e12	+	7.97195e13i	0.177952	+	1.43466i
$562$	−5.50923e12	+	4.62279e12i	−0.0982674	+	0.0824561i
$563$	−2.38084e13	+	6.54130e13i	−0.420909	+	1.15644i	0.530279	+	0.847823i	$0.322087\pi$
$563$	−2.38084e13	+	6.54130e13i	−0.420909	+	1.15644i	−0.951188	+	0.308614i	$0.900135\pi$
$564$	−2.63064e13	−	8.56662e13i	−0.460963	−	1.50111i
$565$	−9.35180e11	+	5.30367e12i	−0.0162425	+	0.0921158i
$566$		−	2.73790e13i		−	0.471340i
$567$	5.66029e11	−	1.88808e13i	0.00965880	−	0.322185i
$568$	−3.36415e13			−0.569028
$569$	−1.04802e14	−	1.84794e13i	−1.75715	−	0.309832i	−0.800121	−	0.599839i	$-0.795231\pi$
$569$	−1.04802e14	−	1.84794e13i	−1.75715	−	0.309832i	−0.957025	+	0.290006i	$0.906343\pi$
$570$	7.30423e12	−	2.24299e12i	0.121395	−	0.0372780i
$571$	4.00624e12	+	1.45815e12i	0.0660019	+	0.0240227i	0.374810	−	0.927102i	$-0.377708\pi$
$571$	4.00624e12	+	1.45815e12i	0.0660019	+	0.0240227i	−0.308808	+	0.951124i	$0.599930\pi$
$572$	4.77161e13	+	5.68659e13i	0.779265	+	0.928692i
$573$	6.96286e13	−	8.63656e12i	1.12724	−	0.139819i
$574$	2.64318e12	−	9.62041e11i	0.0424197	−	0.0154395i
$575$	−5.57983e13	−	3.22152e13i	−0.887732	−	0.512532i
$576$	−2.67692e13	−	1.29745e13i	−0.422205	−	0.204635i
$577$	5.15679e13	+	8.93182e13i	0.806306	+	1.39656i	0.915406	+	0.402533i	$0.131870\pi$
$577$	5.15679e13	+	8.93182e13i	0.806306	+	1.39656i	−0.109099	+	0.994031i	$0.534797\pi$
$578$	2.14855e13	−	2.56055e13i	0.333048	−	0.396912i
$579$	−8.91016e13	−	4.55936e12i	−1.36928	−	0.0700666i
$580$	1.25537e12	+	7.11954e12i	0.0191263	+	0.108471i
$581$	2.14046e13	−	3.77420e12i	0.323315	−	0.0570092i
$582$	1.40267e13	+	9.08448e12i	0.210059	+	0.136046i
$583$	3.03613e12	+	2.54762e12i	0.0450794	+	0.0378261i
$584$	5.27041e13	−	3.04287e13i	0.775855	−	0.447940i
$585$	3.85655e12	−	3.75848e13i	0.0562885	−	0.548571i
$586$	−4.14631e11	+	7.18163e11i	−0.00600032	+	0.0103929i
$587$	2.69196e13	+	7.39610e13i	0.386258	+	1.06124i	0.968672	+	0.248344i	$0.0798862\pi$
$587$	2.69196e13	+	7.39610e13i	0.386258	+	1.06124i	−0.582414	+	0.812893i	$0.697892\pi$
$588$	4.54314e13	−	3.43230e13i	0.646353	−	0.488313i
$589$	−8.66616e12	+	7.27177e12i	−0.122250	+	0.102580i
$590$	−1.65491e12	+	4.54683e12i	−0.0231480	+	0.0635987i
$591$	2.00660e13	+	4.60652e12i	0.278306	+	0.0638904i
$592$	−1.28433e13	+	7.28378e13i	−0.176631	+	1.00172i
$593$			1.12702e14i			1.53695i	0.639881	+	0.768474i	$0.278983\pi$
$593$			1.12702e14i			1.53695i	−0.639881	+	0.768474i	$0.721017\pi$
$594$	−4.28644e11	−	2.02584e13i	−0.00579648	−	0.273951i
$595$	−1.42892e13			−0.191612
$596$	−2.43999e13	−	4.30236e12i	−0.324456	−	0.0572104i
$597$	5.23224e12	+	4.86708e12i	0.0689947	+	0.0641796i
$598$	−3.98849e13	−	1.45169e13i	−0.521558	−	0.189831i
$599$	6.39040e12	+	7.61579e12i	0.0828694	+	0.0987599i	0.805886	−	0.592071i	$-0.201689\pi$
$599$	6.39040e12	+	7.61579e12i	0.0828694	+	0.0987599i	−0.723017	+	0.690831i	$0.757245\pi$
$600$	−1.55087e13	+	3.66620e13i	−0.199443	+	0.471476i
$601$	−1.10673e14	+	4.02818e13i	−1.41147	+	0.513731i	−0.931560	−	0.363588i	$-0.881551\pi$
$601$	−1.10673e14	+	4.02818e13i	−1.41147	+	0.513731i	−0.479906	+	0.877320i	$0.659329\pi$
$602$	−1.15216e12	−	6.65197e11i	−0.0145723	−	0.00841333i
$603$	−5.54454e13	−	5.71325e13i	−0.695471	−	0.716633i
$604$	−4.14250e13	−	7.17503e13i	−0.515322	−	0.892563i
$605$	−4.12866e12	+	4.92034e12i	−0.0509368	+	0.0607041i
$606$	−1.31361e13	−	2.57026e13i	−0.160732	−	0.314495i
$607$	−1.78059e13	−	1.00982e14i	−0.216083	−	1.22547i	−0.879018	−	0.476789i	$-0.841801\pi$
$607$	−1.78059e13	−	1.00982e14i	−0.216083	−	1.22547i	0.662935	−	0.748677i	$-0.269311\pi$
$608$	7.50095e13	−	1.32262e13i	0.902814	−	0.159190i
$609$	−8.05570e12	+	4.11711e12i	−0.0961649	+	0.0491481i
$610$	−7.23045e12	−	6.06707e12i	−0.0856084	−	0.0718340i
$611$	1.94256e14	−	1.12154e14i	2.28122	−	1.31706i
$612$	9.10455e13	−	8.83569e13i	1.06048	−	1.02916i
$613$	5.22473e13	−	9.04949e13i	0.603617	−	1.04549i	−0.388652	−	0.921385i	$-0.627059\pi$
$613$	5.22473e13	−	9.04949e13i	0.603617	−	1.04549i	0.992268	−	0.124110i	$-0.0396075\pi$
$614$	8.25357e12	+	2.26765e13i	0.0945801	+	0.259857i
$615$	1.33185e13	+	5.63396e12i	0.151383	+	0.0640381i
$616$	−1.14260e13	+	9.58755e12i	−0.128822	+	0.108095i
$617$	5.88021e13	−	1.61558e14i	0.657608	−	1.80676i	0.0701082	−	0.997539i	$-0.477666\pi$
$617$	5.88021e13	−	1.61558e14i	0.657608	−	1.80676i	0.587500	−	0.809224i	$-0.300112\pi$
$618$	1.10473e13	−	1.18761e13i	0.122550	−	0.131745i
$619$	−1.93629e13	+	1.09812e14i	−0.213068	+	1.20837i	0.671161	+	0.741312i	$0.265796\pi$
$619$	−1.93629e13	+	1.09812e14i	−0.213068	+	1.20837i	−0.884229	+	0.467054i	$0.845315\pi$
$620$			4.26447e12i			0.0465486i
$621$	−5.65347e13	−	9.33052e13i	−0.612149	−	1.01029i
$622$	2.18142e13			0.234308
$623$	3.21791e13	+	5.67405e12i	0.342874	+	0.0604579i
$624$	2.31508e13	−	1.00845e14i	0.244705	−	1.06594i
$625$	−5.56302e13	−	2.02477e13i	−0.583325	−	0.212313i
$626$	2.18058e13	+	2.59871e13i	0.226830	+	0.270325i
$627$	−5.82212e13	−	7.70640e13i	−0.600818	−	0.795269i
$628$	−2.99278e13	+	1.08928e13i	−0.306391	+	0.111517i
$629$	−1.96588e14	−	1.13500e14i	−1.99666	−	1.15277i
$630$	3.58554e12	+	3.67910e11i	0.0361287	+	0.00370714i
$631$	8.18432e12	+	1.41757e13i	0.0818156	+	0.141709i	0.904030	−	0.427469i	$-0.140595\pi$
$631$	8.18432e12	+	1.41757e13i	0.0818156	+	0.141709i	−0.822214	+	0.569178i	$0.807261\pi$
$632$	9.53963e12	−	1.13689e13i	0.0946120	−	0.112754i
$633$	−4.91022e13	+	7.58154e13i	−0.483150	+	0.746000i
$634$	−1.12621e12	−	6.38707e12i	−0.0109945	−	0.0623527i
$635$	5.55229e13	−	9.79019e12i	0.537779	−	0.0948249i
$636$	3.19889e11	−	6.25145e12i	0.00307407	−	0.0600752i
$637$	1.09177e14	+	9.16105e13i	1.04096	+	0.873470i
$638$	−8.40450e12	+	4.85234e12i	−0.0795076	+	0.0459037i
$639$	4.48195e13	−	9.24722e13i	0.420691	−	0.867975i
$640$	1.87185e13	−	3.24214e13i	0.174330	−	0.301948i
$641$	4.13329e13	+	1.13561e14i	0.381949	+	1.04940i	0.970535	+	0.240962i	$0.0774630\pi$
$641$	4.13329e13	+	1.13561e14i	0.381949	+	1.04940i	−0.588585	+	0.808435i	$0.700315\pi$
$642$	5.06046e11	+	4.07978e12i	0.00463997	+	0.0374078i
$643$	−5.98271e13	+	5.02009e13i	−0.544306	+	0.456727i	−0.873007	−	0.487707i	$-0.837834\pi$
$643$	−5.98271e13	+	5.02009e13i	−0.544306	+	0.456727i	0.328701	+	0.944434i	$0.393389\pi$
$644$	−1.30407e13	+	3.58291e13i	−0.117726	+	0.323449i
$645$	−2.00782e12	−	6.53840e12i	−0.0179856	−	0.0585697i
$646$	−1.11520e13	+	6.32463e13i	−0.0991268	+	0.562176i
$647$		−	2.35878e13i		−	0.208049i	−0.994575	−	0.104024i	$-0.966828\pi$
$647$		−	2.35878e13i		−	0.208049i	0.994575	−	0.104024i	$-0.0331720\pi$
$648$	−5.29092e13	+	4.17595e13i	−0.463080	+	0.365494i
$649$	6.11629e13			0.531208
$650$	−4.65887e13	−	8.21485e12i	−0.401526	−	0.0707999i
$651$	−5.10143e12	+	1.56655e12i	−0.0436302	+	0.0133980i
$652$	−8.55918e13	−	3.11529e13i	−0.726430	−	0.264399i
$653$	1.06636e14	+	1.27084e14i	0.898125	+	1.07034i	0.997164	+	0.0752606i	$0.0239789\pi$
$653$	1.06636e14	+	1.27084e14i	0.898125	+	1.07034i	−0.0990384	+	0.995084i	$0.531577\pi$
$654$	−3.39538e13	+	4.21154e12i	−0.283791	+	0.0352008i
$655$	2.35256e13	−	8.56260e12i	0.195134	−	0.0710231i
$656$	3.42966e13	+	1.98012e13i	0.282314	+	0.162994i
$657$	1.34251e13	+	1.85410e14i	0.109671	+	1.51463i
$658$	1.06993e13	+	1.85318e13i	0.0867414	+	0.150241i
$659$	−7.16794e13	+	8.54242e13i	−0.576723	+	0.687312i	−0.972996	−	0.230821i	$-0.925859\pi$
$659$	−7.16794e13	+	8.54242e13i	−0.576723	+	0.687312i	0.396273	+	0.918133i	$0.370303\pi$
$660$	−3.63607e13	−	1.86059e12i	−0.290344	−	0.0148570i
$661$	−1.57090e13	−	8.90901e13i	−0.124492	−	0.706028i	−0.981608	−	0.190906i	$-0.938857\pi$
$661$	−1.57090e13	−	8.90901e13i	−0.124492	−	0.706028i	0.857116	−	0.515123i	$-0.172254\pi$
$662$	−3.22140e13	+	5.68020e12i	−0.253370	+	0.0446759i
$663$	2.66543e14	+	1.72628e14i	2.08065	+	1.34754i
$664$	−5.94122e13	−	4.98528e13i	−0.460294	−	0.386233i
$665$	1.48787e13	−	8.59024e12i	0.114408	−	0.0660537i
$666$	4.64069e13	+	3.35419e13i	0.354170	+	0.255986i
$667$	−2.61252e13	+	4.52503e13i	−0.197893	+	0.342761i
$668$	−2.97438e13	−	8.17205e13i	−0.223622	−	0.614397i
$669$	−1.30586e14	+	9.86567e13i	−0.974466	+	0.736200i
$670$	1.16374e13	−	9.76491e12i	0.0861947	−	0.0723260i
$671$	−4.08064e13	+	1.12115e14i	−0.299996	+	0.824233i
$672$	3.50186e13	+	8.03918e12i	0.255536	+	0.0586631i
$673$	1.35812e13	−	7.70229e13i	0.0983701	−	0.557885i	−0.895292	−	0.445479i	$-0.853033\pi$
$673$	1.35812e13	−	7.70229e13i	0.0983701	−	0.557885i	0.993662	−	0.112406i	$-0.0358556\pi$
$674$			8.69889e12i			0.0625409i
$675$	−8.01130e13	−	9.14733e13i	−0.571721	−	0.652793i
$676$	1.65843e14			1.17480
$677$	−1.92097e14	−	3.38719e13i	−1.35076	−	0.238175i	−0.548999	−	0.835823i	$-0.684991\pi$
$677$	−1.92097e14	−	3.38719e13i	−1.35076	−	0.238175i	−0.801759	+	0.597648i	$0.796102\pi$
$678$	8.36016e12	+	7.77671e12i	0.0583534	+	0.0542809i
$679$	3.53099e13	+	1.28518e13i	0.244652	+	0.0890459i
$680$	3.27750e13	+	3.90597e13i	0.225423	+	0.268648i
$681$	−5.33067e13	+	1.26015e14i	−0.363954	+	0.860373i
$682$	−5.37937e12	+	1.95793e12i	−0.0364594	+	0.0132701i
$683$	−2.37949e14	−	1.37380e14i	−1.60096	−	0.924314i	−0.991296	−	0.131654i	$-0.957971\pi$
$683$	−2.37949e14	−	1.37380e14i	−1.60096	−	0.924314i	−0.609663	−	0.792660i	$-0.708695\pi$
$684$	−4.16842e13	+	1.46736e14i	−0.278414	+	0.980069i
$685$	−2.57240e13	−	4.45553e13i	−0.170563	−	0.295424i
$686$	−1.84923e13	+	2.20383e13i	−0.121723	+	0.145063i
$687$	7.28593e13	+	1.42559e14i	0.476104	+	0.931562i
$688$	−3.25259e12	−	1.84464e13i	−0.0211002	−	0.119665i
$689$	1.54300e13	−	2.72073e12i	0.0993733	−	0.0175222i
$690$	1.85367e13	−	9.47374e12i	0.118519	−	0.0605726i
$691$	3.27568e13	+	2.74862e13i	0.207927	+	0.174472i	0.740804	−	0.671721i	$-0.234445\pi$
$691$	3.27568e13	+	2.74862e13i	0.207927	+	0.174472i	−0.532877	+	0.846193i	$0.678889\pi$
$692$	2.37896e14	−	1.37349e14i	1.49919	−	0.865558i
$693$	−1.11313e13	−	4.41805e13i	−0.0696435	−	0.276417i
$694$	1.07549e13	−	1.86281e13i	0.0668052	−	0.115710i
$695$	−2.34895e13	−	6.45368e13i	−0.144860	−	0.398000i
$696$	2.97314e13	+	1.25770e13i	0.182041	+	0.0770069i
$697$	−9.31099e13	+	7.81285e13i	−0.566020	+	0.474947i
$698$	5.76018e12	−	1.58260e13i	0.0347663	−	0.0955197i
$699$	2.20684e14	−	2.37241e14i	1.32247	−	1.42168i
$700$	−7.37950e12	+	4.18512e13i	−0.0439073	+	0.249011i
$701$			8.43813e13i			0.498490i	0.968441	+	0.249245i	$0.0801824\pi$
$701$			8.43813e13i			0.498490i	−0.968441	+	0.249245i	$0.919818\pi$
$702$	−6.24380e13	−	5.01797e13i	−0.366238	−	0.294335i
$703$	2.72932e14			1.58956
$704$	−7.06618e13	−	1.24596e13i	−0.408621	−	0.0720510i
$705$	−2.46153e13	+	1.07224e14i	−0.141338	+	0.615668i
$706$	3.73243e13	+	1.35849e13i	0.212798	+	0.0774523i
$707$	−4.17186e13	−	4.97183e13i	−0.236174	−	0.281462i
$708$	−5.82295e13	−	7.70751e13i	−0.327323	−	0.433259i
$709$	−5.69631e13	+	2.07329e13i	−0.317952	+	0.115725i	−0.496066	−	0.868285i	$-0.665223\pi$
$709$	−5.69631e13	+	2.07329e13i	−0.317952	+	0.115725i	0.178114	+	0.984010i	$0.443000\pi$
$710$	1.69814e13	+	9.80423e12i	0.0941201	+	0.0543403i
$711$	1.85409e13	+	4.13685e13i	0.102043	+	0.227679i
$712$	−5.82988e13	−	1.00977e14i	−0.318610	−	0.551849i
$713$	−1.98117e13	+	2.36107e13i	−0.107516	+	0.128133i
$714$	−1.64685e13	+	2.54279e13i	−0.0887487	+	0.137031i
$715$	−1.58247e13	−	8.97464e13i	−0.0846848	−	0.480271i
$716$	−1.65101e14	+	2.91117e13i	−0.877373	+	0.154704i
$717$	−1.12138e13	+	2.19147e14i	−0.0591778	+	1.15649i
$718$	6.53898e13	+	5.48686e13i	0.342679	+	0.287542i
$719$	−4.15199e13	+	2.39715e13i	−0.216079	+	0.124753i	−0.604133	−	0.796883i	$-0.706481\pi$
$719$	−4.15199e13	+	2.39715e13i	−0.216079	+	0.124753i	0.388055	+	0.921636i	$0.373147\pi$
$720$	2.84810e13	+	4.20008e13i	0.147195	+	0.217068i
$721$	1.82352e13	−	3.15844e13i	0.0935913	−	0.162105i
$722$	−5.61847e12	−	1.54366e13i	−0.0286373	−	0.0786804i
$723$	2.20928e13	+	1.78114e14i	0.111830	+	0.901585i
$724$	−1.34832e14	+	1.13137e14i	−0.677796	+	0.568739i
$725$	−1.99181e13	+	5.47247e13i	−0.0994395	+	0.273208i
$726$	3.99750e12	+	1.30178e13i	0.0198201	+	0.0645436i
$727$	3.07716e13	−	1.74514e14i	0.151523	−	0.859328i	−0.810374	−	0.585914i	$-0.800736\pi$
$727$	3.07716e13	−	1.74514e14i	0.151523	−	0.859328i	0.961896	−	0.273415i	$-0.0881531\pi$
$728$			5.89641e13i			0.288357i
$729$	−4.42973e13	−	2.01069e14i	−0.215149	−	0.976581i
$730$	−3.54717e13			−0.171107
$731$	5.66151e13	+	9.98276e12i	0.271235	+	0.0478260i
$732$	1.80132e14	−	5.53151e13i	0.857108	−	0.263201i
$733$	1.95422e14	+	7.11278e13i	0.923535	+	0.336139i	0.759644	−	0.650339i	$-0.225373\pi$
$733$	1.95422e14	+	7.11278e13i	0.923535	+	0.336139i	0.163891	+	0.986478i	$0.447595\pi$
$734$	−7.50567e13	−	8.94491e13i	−0.352297	−	0.419851i
$735$	−6.93688e13	+	8.60433e12i	−0.323391	+	0.0401126i
$736$	1.94999e14	−	7.09738e13i	0.902907	−	0.328631i
$737$	−1.66302e14	−	9.60143e13i	−0.764820	−	0.441569i
$738$	2.53754e13	−	1.72072e13i	0.115913	−	0.0786010i
$739$	−3.94714e13	−	6.83664e13i	−0.179085	−	0.310185i	0.762482	−	0.647009i	$-0.223980\pi$
$739$	−3.94714e13	−	6.83664e13i	−0.179085	−	0.310185i	−0.941568	+	0.336824i	$0.890647\pi$
$740$	6.61323e13	−	7.88135e13i	0.298027	−	0.355174i
$741$	−3.81318e14	−	1.95122e13i	−1.70685	−	0.0873403i
$742$	2.59554e11	+	1.47200e12i	0.00115401	+	0.00654469i
$743$	1.62805e14	−	2.87069e13i	0.718990	−	0.126777i	0.197830	−	0.980236i	$-0.436611\pi$
$743$	1.62805e14	−	2.87069e13i	0.718990	−	0.126777i	0.521160	+	0.853459i	$0.325499\pi$
$744$	1.59833e13	+	1.03516e13i	0.0701134	+	0.0454093i
$745$	2.33001e13	+	1.95511e13i	0.101526	+	0.0851902i
$746$	5.50879e13	−	3.18050e13i	0.238431	−	0.137658i
$747$	2.16186e14	−	9.68924e13i	0.929448	−	0.416569i
$748$	1.53007e14	−	2.65016e14i	0.653436	−	1.13178i
$749$	3.16153e12	+	8.68623e12i	0.0134118	+	0.0368487i
$750$	3.98472e13	−	3.01042e13i	0.167916	−	0.126859i
$751$	2.22505e14	−	1.86704e14i	0.931408	−	0.781544i	−0.0446616	−	0.999002i	$-0.514221\pi$
$751$	2.22505e14	−	1.86704e14i	0.931408	−	0.781544i	0.976070	+	0.217458i	$0.0697765\pi$
$752$	−1.03043e14	+	2.83107e14i	−0.428477	+	1.17723i
$753$	−1.76530e14	−	4.05257e13i	−0.729195	−	0.167400i
$754$	−6.66192e12	+	3.77816e13i	−0.0273365	+	0.155033i
$755$			1.01709e14i			0.414597i
$756$	−4.50770e13	+	5.60888e13i	−0.182535	+	0.227126i
$757$	−2.92596e14			−1.17703			−0.588517	−	0.808485i	$-0.700288\pi$
$757$	−2.92596e14			−1.17703			−0.588517	+	0.808485i	$0.700288\pi$
$758$	−1.26543e14	−	2.23129e13i	−0.505697	−	0.0891681i
$759$	−1.92671e14	−	1.79225e14i	−0.764905	−	0.711522i
$760$	−5.76087e13	−	2.09679e13i	−0.227206	−	0.0826963i
$761$	−7.62876e13	−	9.09161e13i	−0.298903	−	0.356219i	0.595599	−	0.803282i	$-0.296915\pi$
$761$	−7.62876e13	−	9.09161e13i	−0.298903	−	0.356219i	−0.894503	+	0.447062i	$0.852470\pi$
$762$	4.65690e13	−	1.10087e14i	0.181268	−	0.428511i
$763$	−7.22907e13	+	2.63117e13i	−0.279550	+	0.101748i
$764$	−2.31470e14	−	1.33639e14i	−0.889258	−	0.513413i
$765$	−1.51031e14	+	3.80524e13i	−0.576445	+	0.145236i
$766$	1.48467e13	+	2.57152e13i	0.0562971	+	0.0975094i
$767$	1.55419e14	−	1.85221e14i	0.585499	−	0.697771i
$768$	2.09275e13	+	4.09475e13i	0.0783269	+	0.153257i
$769$	2.69478e13	+	1.52829e14i	0.100205	+	0.568294i	0.993027	+	0.117884i	$0.0376110\pi$
$769$	2.69478e13	+	1.52829e14i	0.100205	+	0.568294i	−0.892822	+	0.450410i	$0.851278\pi$
$770$	8.56170e12	−	1.50966e12i	0.0316305	−	0.00557731i
$771$	3.79338e14	−	1.93872e14i	1.39237	−	0.711613i
$772$	2.60356e14	+	2.18465e14i	0.949471	+	0.796701i
$773$	3.55555e14	−	2.05280e14i	1.28828	−	0.743787i	0.309930	−	0.950759i	$-0.399694\pi$
$773$	3.55555e14	−	2.05280e14i	1.28828	−	0.743787i	0.978347	+	0.206973i	$0.0663611\pi$
$774$	−1.39492e13	−	3.96264e12i	−0.0502163	−	0.0142653i
$775$	−1.71764e13	+	2.97504e13i	−0.0614360	+	0.106410i
$776$	−4.58595e13	−	1.25998e14i	−0.162975	−	0.447770i
$777$	1.18575e14	+	5.01597e13i	0.418687	+	0.177113i
$778$	8.59534e13	−	7.21235e13i	0.301554	−	0.253034i
$779$	4.99829e13	−	1.37327e14i	0.174234	−	0.478705i
$780$	−9.80292e13	+	1.05384e14i	−0.339533	+	0.365007i
$781$	4.30407e13	−	2.44096e14i	0.148123	−	0.840050i
$782$			1.74971e14i			0.598317i
$783$	−7.41813e13	+	6.49686e13i	−0.252049	+	0.220747i
$784$	−1.91425e14			−0.646278
$785$	3.85042e13	+	6.78933e12i	0.129169	+	0.0227761i
$786$	1.18762e13	−	5.17326e13i	0.0395881	−	0.172445i
$787$	−1.22224e13	−	4.44860e12i	−0.0404840	−	0.0147350i	0.321699	−	0.946842i	$-0.395746\pi$
$787$	−1.22224e13	−	4.44860e12i	−0.0404840	−	0.0147350i	−0.362183	+	0.932107i	$0.617968\pi$
$788$	−5.04129e13	−	6.00797e13i	−0.165924	−	0.197741i
$789$	2.98023e14	+	3.94475e14i	0.974685	+	1.29013i
$790$	−8.12865e12	+	2.95859e12i	−0.0264170	+	0.00961499i
$791$	2.22337e13	+	1.28366e13i	0.0718008	+	0.0414542i
$792$	−9.52360e13	+	1.31764e14i	−0.305615	+	0.422834i
$793$	2.35828e14	+	4.08465e14i	0.752019	+	1.30253i
$794$	−1.22684e14	+	1.46209e14i	−0.388764	+	0.463311i
$795$	−4.17733e12	+	6.44993e12i	−0.0131542	+	0.0203105i
$796$	−4.72707e12	−	2.68085e13i	−0.0147920	−	0.0838895i
$797$	−3.48273e14	+	6.14099e13i	−1.08300	+	0.190962i	−0.686541	−	0.727091i	$-0.740872\pi$
$797$	−3.48273e14	+	6.14099e13i	−1.08300	+	0.190962i	−0.396458	+	0.918053i	$0.629761\pi$
$798$	1.86144e12	−	3.63773e13i	0.00575220	−	0.112413i
$799$	−7.08337e14	−	5.94366e14i	−2.17524	−	1.82524i
$800$	2.00301e14	−	1.15644e14i	0.611271	−	0.352918i
$801$	3.55230e14	−	2.57213e13i	1.07732	−	0.0780064i
$802$	2.78515e13	−	4.82402e13i	0.0839415	−	0.145391i
$803$	1.53356e14	+	4.21341e14i	0.459327	+	1.26199i
$804$	3.73324e13	+	3.00976e14i	0.111123	+	0.895885i
$805$	3.58568e13	−	3.00874e13i	0.106070	−	0.0890032i
$806$	−7.74007e12	+	2.12657e13i	−0.0227546	+	0.0625178i
$807$	−1.33617e14	−	4.35121e14i	−0.390386	−	1.27128i
$808$	−4.02160e13	+	2.28076e14i	−0.116773	+	0.662253i
$809$			2.61444e14i			0.754459i	0.926120	+	0.377229i	$0.123123\pi$
$809$			2.61444e14i			0.754459i	−0.926120	+	0.377229i	$0.876877\pi$
$810$	3.88774e13	−	5.65971e12i	0.111499	−	0.0162319i
$811$	−9.00298e13			−0.256615			−0.128307	−	0.991734i	$-0.540954\pi$
$811$	−9.00298e13			−0.256615			−0.128307	+	0.991734i	$0.540954\pi$
$812$	3.39397e13	+	5.98449e12i	0.0961453	+	0.0169530i
$813$	4.98327e14	−	1.53026e14i	1.40301	−	0.430838i
$814$	1.29782e14	+	4.72366e13i	0.363154	+	0.132177i
$815$	7.18756e13	+	8.56580e13i	0.199891	+	0.238221i
$816$	−4.23286e14	+	5.25033e13i	−1.16999	+	0.145123i
$817$	−6.49522e13	+	2.36407e13i	−0.178436	+	0.0649456i
$818$	−7.82483e13	−	4.51767e13i	−0.213653	−	0.123352i
$819$	−1.62078e14	−	7.85561e13i	−0.439850	−	0.213187i
$820$	−2.75443e13	−	4.77081e13i	−0.0742955	−	0.128684i
$821$	4.83586e13	−	5.76315e13i	0.129646	−	0.154506i	−0.697316	−	0.716764i	$-0.745623\pi$
$821$	4.83586e13	−	5.76315e13i	0.129646	−	0.154506i	0.826962	+	0.562258i	$0.190067\pi$
$822$	−1.08934e14	−	5.57419e12i	−0.290272	−	0.0148533i
$823$	5.62849e13	+	3.19207e14i	0.149071	+	0.845423i	0.964008	+	0.265873i	$0.0856603\pi$
$823$	5.62849e13	+	3.19207e14i	0.149071	+	0.845423i	−0.814937	+	0.579549i	$0.803229\pi$
$824$	−1.28162e14	+	2.25985e13i	−0.337384	+	0.0594898i
$825$	−2.46170e14	−	1.59433e14i	−0.644118	−	0.417166i
$826$	1.76698e13	+	1.48268e13i	0.0459550	+	0.0385608i
$827$	−8.10689e13	+	4.68051e13i	−0.209569	+	0.120995i	−0.601111	−	0.799166i	$-0.705275\pi$
$827$	−8.10689e13	+	4.68051e13i	−0.209569	+	0.120995i	0.391542	+	0.920160i	$0.371942\pi$
$828$	−4.24213e13	+	4.13425e14i	−0.109001	+	1.06230i
$829$	−3.25413e14	+	5.63632e14i	−0.831117	+	1.43954i	0.0660358	+	0.997817i	$0.478965\pi$
$829$	−3.25413e14	+	5.63632e14i	−0.831117	+	1.43954i	−0.897153	+	0.441720i	$0.854368\pi$
$830$	1.54612e13	+	4.24792e13i	0.0392511	+	0.107841i
$831$	7.10912e13	−	5.37087e13i	0.179395	−	0.135531i
$832$	−2.17287e14	+	1.82326e14i	−0.545027	+	0.457332i
$833$	2.00943e14	−	5.52086e14i	0.501011	−	1.37652i
$834$	−1.41916e14	−	3.25795e13i	−0.351724	−	0.0807447i
$835$	−1.85389e13	+	1.05139e14i	−0.0456721	+	0.259019i
$836$			3.67933e14i			0.901025i
$837$	−4.97482e13	+	3.01430e13i	−0.121102	+	0.0733768i
$838$	−8.13644e13			−0.196886
$839$	7.58250e14	+	1.33700e14i	1.82391	+	0.321604i	0.977500	−	0.210935i	$-0.0676508\pi$
$839$	7.58250e14	+	1.33700e14i	1.82391	+	0.321604i	0.846406	+	0.532539i	$0.178762\pi$
$840$	−2.11746e13	−	1.96969e13i	−0.0506314	−	0.0470978i
$841$	−3.50956e14	−	1.27738e14i	−0.834205	−	0.303626i
$842$	1.86378e13	+	2.22116e13i	0.0440386	+	0.0524832i
$843$	−6.86697e13	+	1.62332e14i	−0.161297	+	0.381300i
$844$	3.23344e14	−	1.17688e14i	0.755010	−	0.274801i
$845$	−1.76318e14	−	1.01797e14i	−0.409272	−	0.236293i
$846$	1.62438e14	+	1.67380e14i	0.374830	+	0.386236i
$847$	1.53097e13	+	2.65172e13i	0.0351196	+	0.0608290i
$848$	−1.35271e13	+	1.61209e13i	−0.0308478	+	0.0367630i
$849$	−3.05372e14	−	5.97502e14i	−0.692294	−	1.35457i
$850$	3.38643e13	+	1.92054e14i	0.0763217	+	0.432842i
$851$	7.32298e14	−	1.29124e14i	1.64074	−	0.289307i
$852$	−3.48577e14	+	1.78151e14i	−0.776426	+	0.396817i
$853$	1.96043e14	+	1.64500e14i	0.434117	+	0.364267i	0.833503	−	0.552516i	$-0.186332\pi$
$853$	1.96043e14	+	1.64500e14i	0.434117	+	0.364267i	−0.399386	+	0.916783i	$0.630777\pi$
$854$	−3.89671e13	+	2.24977e13i	−0.0857845	+	0.0495277i
$855$	1.34386e14	−	1.30417e14i	0.294119	−	0.285434i
$856$	1.64924e13	−	2.85656e13i	0.0358851	−	0.0621548i
$857$	2.31413e13	+	6.35801e13i	0.0500591	+	0.137536i	0.962203	−	0.272335i	$-0.0877959\pi$
$857$	2.31413e13	+	6.35801e13i	0.0500591	+	0.137536i	−0.912143	+	0.409871i	$0.865574\pi$
$858$	−1.77943e14	−	7.52734e13i	−0.382688	−	0.161884i
$859$	2.06221e14	−	1.73040e14i	0.440927	−	0.369981i	−0.395129	−	0.918625i	$-0.629300\pi$
$859$	2.06221e14	−	1.73040e14i	0.440927	−	0.369981i	0.836056	+	0.548644i	$0.184856\pi$
$860$	−8.91152e12	+	2.44842e13i	−0.0189435	+	0.0520468i
$861$	4.69531e13	−	5.04758e13i	0.0992313	−	0.106676i
$862$	−2.76254e13	+	1.56671e14i	−0.0580459	+	0.329195i
$863$			7.15192e14i			1.49406i	0.664789	+	0.747031i	$0.268521\pi$
$863$			7.15192e14i			1.49406i	−0.664789	+	0.747031i	$0.731479\pi$
$864$	3.91540e14	−	8.28454e12i	0.813219	−	0.0172068i
$865$	−3.37228e14			−0.696376
$866$	6.46446e13	+	1.13986e13i	0.132722	+	0.0234025i
$867$	1.83296e14	−	7.98438e14i	0.374161	−	1.62984i
$868$	1.91032e13	+	6.95300e12i	0.0387711	+	0.0141115i
$869$	7.02854e13	+	8.37629e13i	0.141829	+	0.169026i
$870$	−1.13424e13	−	1.50133e13i	−0.0227566	−	0.0301217i
$871$	−7.13345e14	+	2.59636e14i	−1.42301	+	0.517934i
$872$	2.37736e14	+	1.37257e14i	0.471533	+	0.272239i
$873$	4.07435e14	+	4.18066e13i	0.803502	+	0.0824469i
$874$	−1.05187e14	−	1.82190e14i	−0.206256	−	0.357245i
$875$	7.21795e13	−	8.60201e13i	0.140726	−	0.167710i
$876$	3.84957e14	−	5.94386e14i	0.746262	−	1.15225i
$877$	−4.59195e13	−	2.60423e14i	−0.0885115	−	0.501973i	−0.996543	−	0.0830727i	$-0.973527\pi$
$877$	−4.59195e13	−	2.60423e14i	−0.0885115	−	0.501973i	0.908032	−	0.418901i	$-0.137584\pi$
$878$	−6.01438e13	+	1.06050e13i	−0.115271	+	0.0203253i
$879$	−1.03862e12	+	2.02973e13i	−0.00197931	+	0.0386808i
$880$	9.37651e13	+	7.86783e13i	0.177676	+	0.149088i
$881$	−4.47604e14	+	2.58424e14i	−0.843363	+	0.486916i	−0.858406	−	0.512971i	$-0.828545\pi$
$881$	−4.47604e14	+	2.58424e14i	−0.843363	+	0.486916i	0.0150430	+	0.999887i	$0.495211\pi$
$882$	−6.46368e13	+	1.33359e14i	−0.121098	+	0.249851i
$883$	−3.60475e14	+	6.24361e14i	−0.671540	+	1.16314i	0.305927	+	0.952055i	$0.401034\pi$
$883$	−3.60475e14	+	6.24361e14i	−0.671540	+	1.16314i	−0.977467	+	0.211087i	$0.932300\pi$
$884$	−4.13752e14	−	1.13677e15i	−0.766441	−	2.10578i
$885$	1.45974e13	+	1.17685e14i	0.0268880	+	0.216773i
$886$	−1.77389e14	+	1.48847e14i	−0.324906	+	0.272628i
$887$	1.14431e13	−	3.14395e13i	0.0208413	−	0.0572609i	−0.928836	−	0.370492i	$-0.879189\pi$
$887$	1.14431e13	−	3.14395e13i	0.0208413	−	0.0572609i	0.949677	+	0.313231i	$0.101411\pi$
$888$	−1.34863e14	−	4.39178e14i	−0.244246	−	0.795382i
$889$	4.66710e13	−	2.64684e14i	0.0840501	−	0.476672i
$890$			6.79608e13i			0.121705i
$891$	−2.35307e14	−	4.37325e14i	−0.419030	−	0.778783i
$892$	6.23468e14			1.10405
$893$	1.09488e15	+	1.93056e14i	1.92800	+	0.339959i
$894$	6.16451e13	−	1.89300e13i	0.107947	−	0.0331485i
$895$	1.93398e14	+	7.03910e13i	0.336772	+	0.122575i
$896$	−1.14716e14	−	1.36713e14i	−0.198648	−	0.236740i
$897$	−1.03234e15	+	1.28049e14i	−1.77770	+	0.220502i
$898$	−1.36806e13	+	4.97935e12i	−0.0234274	+	0.00852689i
$899$	2.41264e13	+	1.39294e13i	0.0410860	+	0.0237210i
$900$	3.34524e13	+	4.62001e14i	0.0566519	+	0.782403i
$901$	−3.22944e13	−	5.59356e13i	−0.0543881	−	0.0942029i
$902$	4.75346e13	−	5.66495e13i	0.0796118	−	0.0948776i
$903$	−3.25632e13	−	1.66627e12i	−0.0542361	−	0.00277528i
$904$	−1.59081e13	−	9.02193e13i	−0.0263497	−	0.149437i
$905$	2.12793e14	−	3.75211e13i	0.350521	−	0.0618063i
$906$	1.80993e14	+	1.17221e14i	0.296498	+	0.192028i
$907$	−3.52240e14	−	2.95564e14i	−0.573855	−	0.481521i	0.309068	−	0.951040i	$-0.399983\pi$
$907$	−3.52240e14	−	2.95564e14i	−0.573855	−	0.481521i	−0.882922	+	0.469519i	$0.844427\pi$
$908$	4.51399e14	−	2.60615e14i	0.731360	−	0.422251i
$909$	−5.73348e14	−	4.14403e14i	−0.923845	−	0.667735i
$910$	1.71841e13	−	2.97637e13i	0.0275372	−	0.0476958i
$911$	8.52980e13	+	2.34354e14i	0.135940	+	0.373492i	0.988920	−	0.148452i	$-0.0474291\pi$
$911$	8.52980e13	+	2.34354e14i	0.135940	+	0.373492i	−0.852980	+	0.521944i	$0.825207\pi$
$912$	4.09186e14	−	3.09137e14i	0.648555	−	0.489978i
$913$	4.37733e14	−	3.67302e14i	0.690011	−	0.578988i
$914$	1.00964e14	−	2.77395e14i	0.158283	−	0.434878i
$915$	−2.25462e14	−	5.17591e13i	−0.351535	−	0.0807014i
$916$	1.05906e14	−	6.00621e14i	0.164226	−	0.931372i
$917$		−	1.19347e14i		−	0.184062i
$918$	−1.06350e14	+	3.12617e14i	−0.163126	+	0.479512i
$919$	−7.01735e14			−1.07052			−0.535261	−	0.844687i	$-0.679787\pi$
$919$	−7.01735e14			−1.07052			−0.535261	+	0.844687i	$0.679787\pi$
$920$	−1.64489e14	−	2.90038e13i	−0.249572	−	0.0440064i
$921$	4.33044e14	+	4.02822e14i	0.653482	+	0.607876i
$922$	2.34318e14	+	8.52848e13i	0.351683	+	0.128002i
$923$	−6.29831e14	−	7.50604e14i	−0.940190	−	1.12047i
$924$	−6.76190e13	+	1.59849e14i	−0.100394	+	0.237328i
$925$	7.78805e14	−	2.83462e14i	1.15006	−	0.418587i
$926$	1.61644e14	+	9.33251e13i	0.237413	+	0.137070i
$927$	1.08629e14	−	3.82394e14i	0.158689	−	0.558615i
$928$	−9.37828e13	−	1.62437e14i	−0.136265	−	0.236017i
$929$	−6.89223e14	+	8.21384e14i	−0.996051	+	1.18705i	−0.0137177	+	0.999906i	$0.504367\pi$
$929$	−6.89223e14	+	8.21384e14i	−0.996051	+	1.18705i	−0.982333	+	0.187141i	$0.940078\pi$
$930$	−5.05117e12	−	9.88332e12i	−0.00726069	−	0.0142065i
$931$	1.22664e14	+	6.95664e14i	0.175376	+	0.994607i
$932$	−1.21556e15	+	2.14335e14i	−1.72860	+	0.304799i
$933$	4.76060e14	−	2.43305e14i	0.673370	−	0.344146i
$934$	−3.35316e14	−	2.81364e14i	−0.471759	−	0.395853i
$935$	−3.25341e14	+	1.87836e14i	−0.455283	+	0.262858i
$936$	1.57022e14	+	6.23225e14i	0.218566	+	0.867492i
$937$	−1.72446e14	+	2.98685e14i	−0.238756	+	0.413538i	−0.960358	−	0.278771i	$-0.910073\pi$
$937$	−1.72446e14	+	2.98685e14i	−0.238756	+	0.413538i	0.721602	+	0.692309i	$0.243406\pi$
$938$	−2.47690e13	−	6.80522e13i	−0.0341110	−	0.0937191i
$939$	7.65724e14	+	3.23916e14i	1.04892	+	0.443715i
$940$	3.21040e14	−	2.69385e14i	0.437442	−	0.367057i
$941$	−1.15297e14	+	3.16777e14i	−0.156268	+	0.429344i	−0.992977	−	0.118304i	$-0.962254\pi$
$941$	−1.15297e14	+	3.16777e14i	−0.156268	+	0.429344i	0.836709	+	0.547648i	$0.184477\pi$
$942$	5.64582e13	−	6.06940e13i	0.0761154	−	0.0818261i
$943$	6.91388e13	−	3.92105e14i	0.0927178	−	0.525829i
$944$			3.24756e14i			0.433209i
$945$	8.23523e13	−	3.19624e13i	0.109274	−	0.0424112i
$946$	−3.49769e13			−0.0461663
$947$	−3.10560e13	−	5.47601e12i	−0.0407751	−	0.00718976i	0.153223	−	0.988192i	$-0.451035\pi$
$947$	−3.10560e13	−	5.47601e12i	−0.0407751	−	0.00718976i	−0.193999	+	0.981002i	$0.562146\pi$
$948$	3.86402e13	−	1.68317e14i	0.0504659	−	0.219829i
$949$	1.66564e15	+	6.06244e14i	2.16396	+	0.787619i
$950$	−1.50719e14	−	1.79620e14i	−0.194782	−	0.232132i
$951$	−9.58161e13	−	1.26826e14i	−0.123179	−	0.163045i
$952$	2.28411e14	−	8.31347e13i	0.292100	−	0.106316i
$953$	−8.19040e14	−	4.72873e14i	−1.04194	−	0.601562i	−0.121555	−	0.992585i	$-0.538788\pi$
$953$	−8.19040e14	−	4.72873e14i	−1.04194	−	0.601562i	−0.920381	+	0.391023i	$0.872121\pi$
$954$	6.66334e12	+	1.48672e13i	0.00843238	+	0.0188143i
$955$	1.64060e14	+	2.84160e14i	0.206531	+	0.357722i
$956$	5.37319e14	−	6.40352e14i	0.672888	−	0.801917i
$957$	−1.29294e14	+	1.99634e14i	−0.161072	+	0.248700i
$958$	−7.42012e13	−	4.20816e14i	−0.0919567	−	0.521512i
$959$	−2.41533e14	+	4.25887e13i	−0.297771	+	0.0525051i
$960$	7.10940e12	−	1.38936e14i	0.00871920	−	0.170396i
$961$	−6.15283e14	−	5.16284e14i	−0.750685	−	0.629900i
$962$	4.72831e14	−	2.72989e14i	0.573892	−	0.331337i
$963$	5.65476e13	+	8.33905e13i	0.0682783	+	0.100690i
$964$	3.41857e14	−	5.92114e14i	0.410638	−	0.711246i
$965$	−1.42703e14	−	3.92074e14i	−0.170528	−	0.468523i
$966$	−1.22157e13	−	9.84838e13i	−0.0145222	−	0.117079i
$967$	−2.77604e14	+	2.32937e14i	−0.328317	+	0.275490i	−0.792014	−	0.610503i	$-0.790967\pi$
$967$	−2.77604e14	+	2.32937e14i	−0.328317	+	0.275490i	0.463697	+	0.885994i	$0.346523\pi$
$968$	3.73694e13	−	1.02672e14i	0.0439682	−	0.120802i
$969$	4.62044e14	+	1.50463e15i	0.540834	+	1.76121i
$970$	−1.35711e13	+	7.69658e13i	−0.0158037	+	0.0896271i
$971$			1.14035e15i			1.32112i	0.750775	+	0.660558i	$0.229680\pi$
$971$			1.14035e15i			1.32112i	−0.750775	+	0.660558i	$0.770320\pi$
$972$	−3.27079e14	+	7.12876e14i	−0.376983	+	0.821642i
$973$	−3.27399e14			−0.375416
$974$	−2.79472e13	−	4.92785e12i	−0.0318819	−	0.00562163i
$975$	−1.10835e15	+	3.40352e14i	−1.25792	+	0.386283i
$976$	−5.95295e14	−	2.16670e14i	−0.672176	−	0.244652i
$977$	−7.43602e13	−	8.86191e13i	−0.0835349	−	0.0995530i	0.722658	−	0.691206i	$-0.242920\pi$
$977$	−7.43602e13	−	8.86191e13i	−0.0835349	−	0.0995530i	−0.806193	+	0.591653i	$0.798476\pi$
$978$	2.35267e14	−	2.91819e13i	0.262946	−	0.0326152i
$979$	8.07252e14	−	2.93816e14i	0.897627	−	0.326709i
$980$	2.30606e14	+	1.33141e14i	0.255118	+	0.147292i
$981$	−6.94013e14	+	4.70614e14i	−0.763876	+	0.517988i
$982$	−1.07613e14	−	1.86391e14i	−0.117844	−	0.204111i
$983$	1.32770e14	−	1.58229e14i	0.144654	−	0.172392i	−0.688852	−	0.724902i	$-0.741885\pi$
$983$	1.32770e14	−	1.58229e14i	0.144654	−	0.172392i	0.833507	+	0.552509i	$0.186330\pi$
$984$	−2.45672e14	−	1.25711e13i	−0.266306	−	0.0136269i
$985$	1.67191e13	+	9.48185e13i	0.0180315	+	0.102261i
$986$	1.55748e14	−	2.74627e13i	0.167124	−	0.0294685i
$987$	4.40190e14	+	2.85091e14i	0.469953	+	0.304367i
$988$	1.11422e15	+	9.34940e14i	1.18355	+	0.993114i
$989$	−1.63088e14	+	9.41586e13i	−0.172361	+	0.0995127i
$990$	8.64732e13	−	3.87564e13i	0.0909297	−	0.0407537i
$991$	−3.92333e14	+	6.79540e14i	−0.410474	+	0.710962i	−0.994942	−	0.100455i	$-0.967970\pi$
$991$	−3.92333e14	+	6.79540e14i	−0.410474	+	0.710962i	0.584467	+	0.811417i	$0.301304\pi$
$992$	−3.78416e13	−	1.03969e14i	−0.0393923	−	0.108229i
$993$	−6.39665e14	+	4.83261e14i	−0.662531	+	0.500536i
$994$	7.16067e13	−	6.00851e13i	0.0737941	−	0.0619206i
$995$	−1.14299e13	+	3.14033e13i	−0.0117199	+	0.0322003i
$996$	−8.79600e14	−	2.01928e14i	−0.897405	−	0.206016i
$997$	−3.70770e13	+	2.10274e14i	−0.0376381	+	0.213457i	−0.997826	−	0.0658971i	$-0.979009\pi$
$997$	−3.70770e13	+	2.10274e14i	−0.0376381	+	0.213457i	0.960188	+	0.279354i	$0.0901202\pi$
$998$		−	1.11056e14i		−	0.112173i
$999$	1.38687e15	+	2.14398e14i	1.39382	+	0.215473i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	27.11.f.a.2.16	✓	174
3.2	odd	2		81.11.f.a.8.14		174
27.13	even	9		81.11.f.a.71.14		174
27.14	odd	18	inner	27.11.f.a.14.16	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
27.11.f.a.2.16	✓	174	1.1	even	1	trivial
27.11.f.a.14.16	yes	174	27.14	odd	18	inner
81.11.f.a.8.14		174	3.2	odd	2
81.11.f.a.71.14		174	27.13	even	9

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:	\( N \)	\(=\)	\( 27 = 3^{3} \)
Weight:	\( k \)	\(=\)	\( 11 \)
Character orbit:	\([\chi]\)	\(=\)	27.f (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(9.76434 + 1.72172i) q^{2} +(232.294 - 71.3331i) q^{3} +(-869.867 - 316.606i) q^{4} +(730.470 + 870.540i) q^{5} +(2391.01 - 296.575i) q^{6} +(5090.69 - 1852.86i) q^{7} +(-16741.3 - 9665.57i) q^{8} +(48872.2 - 33140.5i) q^{9} +(5633.73 + 9757.91i) q^{10} +(91550.1 - 109105. i) q^{11} +(-224650. - 11495.4i) q^{12} +(-97770.9 - 554486. i) q^{13} +(52897.3 - 9327.22i) q^{14} +(231782. + 150115. i) q^{15} +(579315. + 486103. i) q^{16} +(-2.01008e6 + 1.16052e6i) q^{17} +(534263. - 239451. i) q^{18} +(1.39534e6 - 2.41680e6i) q^{19} +(-359794. - 988525. i) q^{20} +(1.05037e6 - 793543. i) q^{21} +(1.08177e6 - 907717. i) q^{22} +(2.60042e6 - 7.14459e6i) q^{23} +(-4.57837e6 - 1.05105e6i) q^{24} +(1.47153e6 - 8.34546e6i) q^{25} -5.58252e6i q^{26} +(8.98871e6 - 1.11846e7i) q^{27} -5.01485e6 q^{28} +(-6.76784e6 - 1.19335e6i) q^{29} +(2.00474e6 + 1.86483e6i) q^{30} +(-3.80933e6 - 1.38648e6i) q^{31} +(1.75437e7 + 2.09078e7i) q^{32} +(1.34838e7 - 3.18751e7i) q^{33} +(-2.16252e7 + 7.87092e6i) q^{34} +(5.33158e6 + 3.07819e6i) q^{35} +(-5.30048e7 + 1.33546e7i) q^{36} +(4.89006e7 + 8.46984e7i) q^{37} +(1.77856e7 - 2.11961e7i) q^{38} +(-6.22648e7 - 1.21830e8i) q^{39} +(-3.81472e6 - 2.16344e7i) q^{40} +(5.15717e7 - 9.09347e6i) q^{41} +(1.16224e7 - 5.93999e6i) q^{42} +(-1.89737e7 - 1.59208e7i) q^{43} +(-1.14180e8 + 6.59217e7i) q^{44} +(6.45498e7 + 1.83371e7i) q^{45} +(3.76923e7 - 6.52851e7i) q^{46} +(1.36256e8 + 3.74360e8i) q^{47} +(1.69247e8 + 7.15946e7i) q^{48} +(-1.93907e8 + 1.62707e8i) q^{49} +(2.87370e7 - 7.89543e7i) q^{50} +(-3.84146e8 + 4.12967e8i) q^{51} +(-9.05058e7 + 5.13284e8i) q^{52} +2.78276e7i q^{53} +(1.07025e8 - 9.37337e7i) q^{54} +1.61855e8 q^{55} +(-1.03134e8 - 1.81852e7i) q^{56} +(1.51732e8 - 6.60942e8i) q^{57} +(-6.40289e7 - 2.33046e7i) q^{58} +(2.76035e8 + 3.28966e8i) q^{59} +(-1.54093e8 - 2.03963e8i) q^{60} +(-7.87175e8 + 2.86508e8i) q^{61} +(-3.48085e7 - 2.00967e7i) q^{62} +(1.87388e8 - 2.59261e8i) q^{63} +(-2.51890e8 - 4.36287e8i) q^{64} +(4.11284e8 - 4.90149e8i) q^{65} +(1.86540e8 - 2.88024e8i) q^{66} +(-2.34123e8 - 1.32778e9i) q^{67} +(2.11593e9 - 3.73095e8i) q^{68} +(9.44166e7 - 1.84514e9i) q^{69} +(4.67596e7 + 3.92360e7i) q^{70} +(1.50712e9 - 8.70137e8i) q^{71} +(-1.13850e9 + 8.24364e7i) q^{72} +(-1.57408e9 + 2.72638e9i) q^{73} +(3.31656e8 + 9.11217e8i) q^{74} +(-2.53479e8 - 2.04357e9i) q^{75} +(-1.97893e9 + 1.66052e9i) q^{76} +(2.63897e8 - 7.25050e8i) q^{77} +(-3.98219e8 - 1.29679e9i) q^{78} +(-1.33314e8 + 7.56063e8i) q^{79} +8.59401e8i q^{80} +(1.29020e9 - 3.23930e9i) q^{81} +5.19219e8 q^{82} +(3.95108e9 + 6.96682e8i) q^{83} +(-1.16492e9 + 3.57725e8i) q^{84} +(-2.47858e9 - 9.02129e8i) q^{85} +(-1.57855e8 - 1.88124e8i) q^{86} +(-1.65726e9 + 2.05562e8i) q^{87} +(-2.58723e9 + 9.41675e8i) q^{88} +(5.22351e9 + 3.01580e9i) q^{89} +(5.98715e8 + 2.90186e8i) q^{90} +(-1.52511e9 - 2.64156e9i) q^{91} +(-4.52404e9 + 5.39154e9i) q^{92} +(-9.83787e8 - 5.03407e7i) q^{93} +(6.85907e8 + 3.88997e9i) q^{94} +(3.12317e9 - 5.50700e8i) q^{95} +(5.56673e9 + 3.60532e9i) q^{96} +(5.31342e9 + 4.45849e9i) q^{97} +(-2.17350e9 + 1.25487e9i) q^{98} +(8.58453e8 - 8.36623e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 4965 q^{5} + 18234 q^{6} - 6 q^{7} - 9 q^{8} + 119124 q^{9} - 3 q^{10} - 978 q^{11} - 1015107 q^{12} - 6 q^{13} + 2134569 q^{14} - 2548539 q^{15} - 3078 q^{16} - 9 q^{17}+ \cdots - 72892391589 q^{99}+O(q^{100}) \) 174 * q - 6 * q^2 - 6 * q^3 - 6 * q^4 - 4965 * q^5 + 18234 * q^6 - 6 * q^7 - 9 * q^8 + 119124 * q^9 - 3 * q^10 - 978 * q^11 - 1015107 * q^12 - 6 * q^13 + 2134569 * q^14 - 2548539 * q^15 - 3078 * q^16 - 9 * q^17 + 6676947 * q^18 - 3 * q^19 + 15925353 * q^20 - 21049824 * q^21 + 10420410 * q^22 + 8437692 * q^23 + 87359400 * q^24 - 14881965 * q^25 - 60562494 * q^27 - 12 * q^28 + 7820868 * q^29 + 216153117 * q^30 - 51711531 * q^31 + 76244832 * q^32 - 198927081 * q^33 + 92236410 * q^34 - 260153622 * q^35 + 199074744 * q^36 - 3 * q^37 + 250645020 * q^38 + 152777949 * q^39 - 26151153 * q^40 - 837714012 * q^41 - 1627952634 * q^42 - 213300456 * q^43 + 2245906431 * q^44 + 1041263847 * q^45 - 3 * q^46 - 1685998563 * q^47 - 1664196711 * q^48 - 183168366 * q^49 + 2548576023 * q^50 + 1007158626 * q^51 - 912655665 * q^52 - 1206704682 * q^54 - 12 * q^55 - 4260806997 * q^56 - 1000586442 * q^57 - 496853331 * q^58 + 1806342150 * q^59 + 1176655374 * q^60 - 1784159286 * q^61 + 2786630112 * q^62 + 2270781765 * q^63 + 8858370045 * q^64 - 2961878001 * q^65 - 5594499243 * q^66 - 915608058 * q^67 + 11412166995 * q^68 - 7767764199 * q^69 + 1945422669 * q^70 - 5512912173 * q^71 - 15991303644 * q^72 + 2110132140 * q^73 + 22008588729 * q^74 + 15296936925 * q^75 + 11875694586 * q^76 - 2702962221 * q^77 - 12511026108 * q^78 + 6660721974 * q^79 + 440880768 * q^81 - 12 * q^82 + 7670489421 * q^83 - 31766160684 * q^84 - 6965484381 * q^85 - 33241766118 * q^86 - 10927113525 * q^87 + 28790289402 * q^88 + 34430237370 * q^89 + 12602186028 * q^90 - 991980102 * q^91 + 40280154009 * q^92 + 57140838285 * q^93 - 62587945905 * q^94 - 12104972679 * q^95 - 78182924274 * q^96 + 48297833958 * q^97 - 103117506282 * q^98 - 72892391589 * q^99

Introduction

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