LMFDB - Embedded newform 95.11.n.a.86.60

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,11,Mod(21,95)] 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("95.21"); S:= CuspForms(chi, 11); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([0, 1])) N = Newforms(chi, 11, names="a")

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 11 $
Character orbit:	$[\chi]$	$=$	95.n (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:	$60.3589390040$
Analytic rank:	$0$
Dimension:	$396$
Relative dimension:	$66$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			86.60
Character	$\chi$	$=$	95.86
Dual form			95.11.n.a.21.60

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(52.2842 - 9.21912i) q^{2} +(-112.865 - 134.507i) q^{3} +(1686.40 - 613.801i) q^{4} +(-1313.26 - 477.988i) q^{5} +(-7141.10 - 5992.09i) q^{6} +(-7759.77 + 13440.3i) q^{7} +(35432.2 - 20456.8i) q^{8} +(4900.06 - 27789.6i) q^{9} +(-73069.4 - 12884.1i) q^{10} +(147501. + 255479. i) q^{11} +(-272897. - 157557. i) q^{12} +(-43736.8 + 52123.5i) q^{13} +(-281806. + 774255. i) q^{14} +(83928.3 + 230591. i) q^{15} +(256187. - 214967. i) q^{16} +(64570.4 + 366197. i) q^{17} -1.49813e6i q^{18} +(-2.46755e6 + 205590. i) q^{19} -2.50808e6 q^{20} +(2.68363e6 - 473196. i) q^{21} +(1.00673e7 + 1.19977e7i) q^{22} +(2.33329e6 - 849249. i) q^{23} +(-6.75064e6 - 2.45703e6i) q^{24} +(1.49618e6 + 1.25544e6i) q^{25} +(-1.80621e6 + 3.12845e6i) q^{26} +(-1.32701e7 + 7.66149e6i) q^{27} +(-4.83643e6 + 2.74288e7i) q^{28} +(4.01350e7 + 7.07688e6i) q^{29} +(6.51397e6 + 1.12825e7i) q^{30} +(4.71732e7 + 2.72354e7i) q^{31} +(-1.55171e7 + 1.84926e7i) q^{32} +(1.77161e7 - 4.86746e7i) q^{33} +(6.75203e6 + 1.85511e7i) q^{34} +(1.66149e7 - 1.39416e7i) q^{35} +(-8.79380e6 - 4.98721e7i) q^{36} +4.67831e7i q^{37} +(-1.27119e8 + 3.34977e7i) q^{38} +1.19473e7 q^{39} +(-5.63098e7 + 9.92893e6i) q^{40} +(-5.92761e7 - 7.06425e7i) q^{41} +(1.35949e8 - 4.94814e7i) q^{42} +(-1.24091e8 - 4.51654e7i) q^{43} +(4.05560e8 + 3.40305e8i) q^{44} +(-1.97181e7 + 3.41528e7i) q^{45} +(1.14165e8 - 6.59133e7i) q^{46} +(3.77352e7 - 2.14007e8i) q^{47} +(-5.78291e7 - 1.01968e7i) q^{48} +(2.08095e7 + 3.60430e7i) q^{49} +(8.98008e7 + 5.18465e7i) q^{50} +(4.19684e7 - 5.00160e7i) q^{51} +(-4.17644e7 + 1.14747e8i) q^{52} +(2.72933e8 + 7.49877e8i) q^{53} +(-6.23184e8 + 5.22914e8i) q^{54} +(-7.15913e7 - 4.06014e8i) q^{55} +6.34960e8i q^{56} +(3.06153e8 + 3.08699e8i) q^{57} +2.16367e9 q^{58} +(-1.62587e8 + 2.86684e7i) q^{59} +(2.83074e8 + 3.37354e8i) q^{60} +(9.83999e8 - 3.58146e8i) q^{61} +(2.71750e9 + 9.89089e8i) q^{62} +(3.35478e8 + 2.81499e8i) q^{63} +(-8.12044e8 + 1.40650e9i) q^{64} +(8.23522e7 - 4.75460e7i) q^{65} +(4.77536e8 - 2.70824e9i) q^{66} +(-2.09226e9 - 3.68921e8i) q^{67} +(3.33664e8 + 5.77923e8i) q^{68} +(-3.77577e8 - 2.17994e8i) q^{69} +(7.40169e8 - 8.82099e8i) q^{70} +(-3.60677e8 + 9.90952e8i) q^{71} +(-3.94866e8 - 1.08489e9i) q^{72} +(2.08336e9 - 1.74815e9i) q^{73} +(4.31299e8 + 2.44602e9i) q^{74} -3.42943e8i q^{75} +(-4.03509e9 + 1.86129e9i) q^{76} -4.57830e9 q^{77} +(6.24657e8 - 1.10144e8i) q^{78} +(8.99643e8 + 1.07215e9i) q^{79} +(-4.39192e8 + 1.59853e8i) q^{80} +(9.62480e8 + 3.50314e8i) q^{81} +(-3.75047e9 - 3.14702e9i) q^{82} +(-1.89349e9 + 3.27962e9i) q^{83} +(4.23523e9 - 2.44521e9i) q^{84} +(9.02399e7 - 5.11776e8i) q^{85} +(-6.90438e9 - 1.21743e9i) q^{86} +(-3.57794e9 - 6.19718e9i) q^{87} +(1.04526e10 + 6.03479e9i) q^{88} +(-5.79417e9 + 6.90522e9i) q^{89} +(-7.16089e8 + 1.96744e9i) q^{90} +(-3.61169e8 - 9.92303e8i) q^{91} +(3.41361e9 - 2.86435e9i) q^{92} +(-1.66083e9 - 9.41906e9i) q^{93} -1.15371e10i q^{94} +(3.33880e9 + 9.09465e8i) q^{95} +4.23873e9 q^{96} +(3.45389e9 - 6.09014e8i) q^{97} +(1.42029e9 + 1.69264e9i) q^{98} +(7.82243e9 - 2.84713e9i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 396 q + 132 q^{3} - 1830 q^{4} + 3066 q^{6} - 95436 q^{9} - 93750 q^{10} + 2985984 q^{12} - 2110026 q^{13} + 1224960 q^{14} - 6809430 q^{16} + 532380 q^{17} - 7959948 q^{19} - 9580518 q^{21} - 31211136 q^{22}+ \cdots - 91369111794 q^{99}+O(q^{100}) $ 396 * q + 132 * q^3 - 1830 * q^4 + 3066 * q^6 - 95436 * q^9 - 93750 * q^10 + 2985984 * q^12 - 2110026 * q^13 + 1224960 * q^14 - 6809430 * q^16 + 532380 * q^17 - 7959948 * q^19 - 9580518 * q^21 - 31211136 * q^22 - 13532700 * q^23 + 21417984 * q^24 - 159720 * q^26 - 183408156 * q^27 + 144654336 * q^28 - 140983194 * q^29 - 119625000 * q^30 + 122776776 * q^31 + 393148500 * q^32 - 359004150 * q^33 - 578370492 * q^34 - 59812500 * q^35 - 640932912 * q^36 + 503327622 * q^38 + 1302975096 * q^39 - 96000000 * q^40 - 1194423528 * q^41 - 3390185778 * q^42 - 670104582 * q^43 + 2150443914 * q^44 + 3016431090 * q^46 - 151507770 * q^47 + 364629606 * q^48 - 8225668806 * q^49 + 3009006312 * q^51 - 2363609406 * q^52 - 4515798744 * q^53 - 9311985042 * q^54 + 952636938 * q^57 + 4039140864 * q^58 + 5041664862 * q^59 - 2779312500 * q^60 + 5128963260 * q^61 - 4033454760 * q^62 - 12114094326 * q^63 + 11990621196 * q^64 - 3916687500 * q^65 - 1806217476 * q^66 + 6379678362 * q^67 + 18479546670 * q^68 + 14567082498 * q^69 - 1621125000 * q^70 - 1788156144 * q^71 - 16923552852 * q^72 - 26786299530 * q^73 + 15012453948 * q^74 + 18346685868 * q^76 + 6003303804 * q^77 + 69668310660 * q^78 - 9538312266 * q^79 + 5565750000 * q^80 + 2012656020 * q^81 + 30701977302 * q^82 - 21873008760 * q^83 - 51655671540 * q^84 - 14398500000 * q^85 - 14081837694 * q^86 - 17926323216 * q^87 + 110136441168 * q^88 + 77332013844 * q^89 + 18945093750 * q^90 - 85587979728 * q^91 + 50548839756 * q^92 - 13898204208 * q^93 + 262589518236 * q^96 + 29548158042 * q^97 - 235808629536 * q^98 - 91369111794 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$1$

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 $

$2$	52.2842	−	9.21912i	1.63388	−	0.288098i	0.719969	−	0.694006i	$-0.244156\pi$
$2$	52.2842	−	9.21912i	1.63388	−	0.288098i	0.913914	+	0.405909i	$0.133045\pi$
$3$	−112.865	−	134.507i	−0.464465	−	0.553528i	0.482068	−	0.876134i	$-0.339886\pi$
$3$	−112.865	−	134.507i	−0.464465	−	0.553528i	−0.946533	+	0.322606i	$0.895441\pi$
$4$	1686.40	−	613.801i	1.64688	−	0.599415i
$5$	−1313.26	−	477.988i	−0.420243	−	0.152956i
$5$	−1313.26	−	477.988i	−0.420243	−	0.152956i
$6$	−7141.10	−	5992.09i	−0.918351	−	0.770588i
$7$	−7759.77	+	13440.3i	−0.461699	+	0.799686i	−0.999046	−	0.0436754i	$-0.986093\pi$
$7$	−7759.77	+	13440.3i	−0.461699	+	0.799686i	0.537347	+	0.843361i	$0.319427\pi$
$8$	35432.2	−	20456.8i	1.08130	−	0.624291i
$9$	4900.06	−	27789.6i	0.0829829	−	0.470619i
$10$	−73069.4	−	12884.1i	−0.730694	−	0.128841i
$11$	147501.	+	255479.i	0.915865	+	1.58632i	0.805630	+	0.592419i	$0.201827\pi$
$11$	147501.	+	255479.i	0.915865	+	1.58632i	0.110235	+	0.993906i	$0.464840\pi$
$12$	−272897.	−	157557.i	−1.09671	−	0.633186i
$13$	−43736.8	+	52123.5i	−0.117796	+	0.140384i	−0.821720	−	0.569892i	$-0.806985\pi$
$13$	−43736.8	+	52123.5i	−0.117796	+	0.140384i	0.703924	+	0.710275i	$0.251430\pi$
$14$	−281806.	+	774255.i	−0.523974	+	1.43961i
$15$	83928.3	+	230591.i	0.110523	+	0.303659i
$16$	256187.	−	214967.i	0.244319	−	0.205008i
$17$	64570.4	+	366197.i	0.0454767	+	0.257911i	0.999067	−	0.0431973i	$-0.0137544\pi$
$17$	64570.4	+	366197.i	0.0454767	+	0.257911i	−0.953590	+	0.301109i	$0.902643\pi$
$18$		−	1.49813e6i		−	0.792844i
$19$	−2.46755e6	+	205590.i	−0.996547	+	0.0830296i
$19$	−2.46755e6	+	205590.i	−0.996547	+	0.0830296i
$20$	−2.50808e6			−0.783774
$21$	2.68363e6	−	473196.i	0.657091	−	0.115863i
$22$	1.00673e7	+	1.19977e7i	1.95343	+	2.32801i
$23$	2.33329e6	−	849249.i	0.362519	−	0.131946i	−0.154338	−	0.988018i	$-0.549324\pi$
$23$	2.33329e6	−	849249.i	0.362519	−	0.131946i	0.516856	+	0.856072i	$0.327102\pi$
$24$	−6.75064e6	−	2.45703e6i	−0.847790	−	0.308570i
$25$	1.49618e6	+	1.25544e6i	0.153209	+	0.128558i
$26$	−1.80621e6	+	3.12845e6i	−0.152020	+	0.263307i
$27$	−1.32701e7	+	7.66149e6i	−0.924815	+	0.533942i
$28$	−4.83643e6	+	2.74288e7i	−0.281018	+	1.59373i
$29$	4.01350e7	+	7.07688e6i	1.95674	+	0.345026i	0.998193	+	0.0600942i	$0.0191401\pi$
$29$	4.01350e7	+	7.07688e6i	1.95674	+	0.345026i	0.958548	+	0.284932i	$0.0919710\pi$
$30$	6.51397e6	+	1.12825e7i	0.268065	+	0.464302i
$31$	4.71732e7	+	2.72354e7i	1.64773	+	0.951318i	0.977971	+	0.208742i	$0.0669369\pi$
$31$	4.71732e7	+	2.72354e7i	1.64773	+	0.951318i	0.669761	+	0.742577i	$0.266396\pi$
$32$	−1.55171e7	+	1.84926e7i	−0.462447	+	0.551123i
$33$	1.77161e7	−	4.86746e7i	0.452688	−	1.24375i
$34$	6.75203e6	+	1.85511e7i	0.148607	+	0.408295i
$35$	1.66149e7	−	1.39416e7i	0.316343	−	0.265443i
$36$	−8.79380e6	−	4.98721e7i	−0.145433	−	0.824794i
$37$			4.67831e7i			0.674653i	0.941388	+	0.337326i	$0.109523\pi$
$37$			4.67831e7i			0.674653i	−0.941388	+	0.337326i	$0.890477\pi$
$38$	−1.27119e8	+	3.34977e7i	−1.60432	+	0.422763i
$39$	1.19473e7			0.132418
$40$	−5.63098e7	+	9.92893e6i	−0.549900	+	0.0969622i
$41$	−5.92761e7	−	7.06425e7i	−0.511635	−	0.609743i	0.446947	−	0.894561i	$-0.352511\pi$
$41$	−5.92761e7	−	7.06425e7i	−0.511635	−	0.609743i	−0.958582	+	0.284818i	$0.908067\pi$
$42$	1.35949e8	−	4.94814e7i	1.04023	−	0.378613i
$43$	−1.24091e8	−	4.51654e7i	−0.844107	−	0.307230i	−0.116472	−	0.993194i	$-0.537158\pi$
$43$	−1.24091e8	−	4.51654e7i	−0.844107	−	0.307230i	−0.727635	+	0.685964i	$0.759381\pi$
$44$	4.05560e8	+	3.40305e8i	2.45919	+	2.06350i
$45$	−1.97181e7	+	3.41528e7i	−0.106857	+	0.185082i
$46$	1.14165e8	−	6.59133e7i	0.554299	−	0.320025i
$47$	3.77352e7	−	2.14007e8i	0.164535	−	0.933122i	−0.785008	−	0.619485i	$-0.787341\pi$
$47$	3.77352e7	−	2.14007e8i	0.164535	−	0.933122i	0.949543	−	0.313637i	$-0.101547\pi$
$48$	−5.78291e7	−	1.01968e7i	−0.226955	−	0.0400184i
$49$	2.08095e7	+	3.60430e7i	0.0736683	+	0.127597i
$50$	8.98008e7	+	5.18465e7i	0.287362	+	0.165909i
$51$	4.19684e7	−	5.00160e7i	0.121639	−	0.144963i
$52$	−4.17644e7	+	1.14747e8i	−0.109847	+	0.301803i
$53$	2.72933e8	+	7.49877e8i	0.652645	+	1.79313i	0.607741	+	0.794135i	$0.292076\pi$
$53$	2.72933e8	+	7.49877e8i	0.652645	+	1.79313i	0.0449038	+	0.998991i	$0.485702\pi$
$54$	−6.23184e8	+	5.22914e8i	−1.35721	+	1.13884i
$55$	−7.15913e7	−	4.06014e8i	−0.142248	−	0.806729i
$56$			6.34960e8i			1.15294i
$57$	3.06153e8	+	3.08699e8i	0.508820	+	0.513052i
$58$	2.16367e9			3.29648
$59$	−1.62587e8	+	2.86684e7i	−0.227418	+	0.0401000i	−0.286196	−	0.958171i	$-0.592391\pi$
$59$	−1.62587e8	+	2.86684e7i	−0.227418	+	0.0401000i	0.0587776	+	0.998271i	$0.481280\pi$
$60$	2.83074e8	+	3.37354e8i	0.364036	+	0.433841i
$61$	9.83999e8	−	3.58146e8i	1.16505	−	0.424044i	0.314152	−	0.949373i	$-0.398280\pi$
$61$	9.83999e8	−	3.58146e8i	1.16505	−	0.424044i	0.850900	+	0.525328i	$0.176057\pi$
$62$	2.71750e9	+	9.89089e8i	2.96627	+	1.07963i
$63$	3.35478e8	+	2.81499e8i	0.338035	+	0.283645i
$64$	−8.12044e8	+	1.40650e9i	−0.756275	+	1.30991i
$65$	8.23522e7	−	4.75460e7i	0.0709755	−	0.0409777i
$66$	4.77536e8	−	2.70824e9i	0.381317	−	2.16256i
$67$	−2.09226e9	−	3.68921e8i	−1.54968	−	0.273250i	−0.667659	−	0.744468i	$-0.732703\pi$
$67$	−2.09226e9	−	3.68921e8i	−1.54968	−	0.273250i	−0.882017	+	0.471218i	$0.843815\pi$
$68$	3.33664e8	+	5.77923e8i	0.229491	+	0.397489i
$69$	−3.77577e8	−	2.17994e8i	−0.241413	−	0.139380i
$70$	7.40169e8	−	8.82099e8i	0.440393	−	0.524840i
$71$	−3.60677e8	+	9.90952e8i	−0.199906	+	0.549238i	−0.998623	−	0.0524697i	$-0.983291\pi$
$71$	−3.60677e8	+	9.90952e8i	−0.199906	+	0.549238i	0.798716	+	0.601708i	$0.205513\pi$
$72$	−3.94866e8	−	1.08489e9i	−0.204074	−	0.560688i
$73$	2.08336e9	−	1.74815e9i	1.00496	−	0.843263i	0.0172979	−	0.999850i	$-0.494494\pi$
$73$	2.08336e9	−	1.74815e9i	1.00496	−	0.843263i	0.987664	+	0.156587i	$0.0500492\pi$
$74$	4.31299e8	+	2.44602e9i	0.194366	+	1.10230i
$75$		−	3.42943e8i		−	0.144516i
$76$	−4.03509e9	+	1.86129e9i	−1.59142	+	0.734085i
$77$	−4.57830e9			−1.69142
$78$	6.24657e8	−	1.10144e8i	0.216356	−	0.0381494i
$79$	8.99643e8	+	1.07215e9i	0.292371	+	0.348435i	0.892156	−	0.451726i	$-0.149192\pi$
$79$	8.99643e8	+	1.07215e9i	0.292371	+	0.348435i	−0.599785	+	0.800161i	$0.704747\pi$
$80$	−4.39192e8	+	1.59853e8i	−0.134031	+	0.0487832i
$81$	9.62480e8	+	3.50314e8i	0.276037	+	0.100469i
$82$	−3.75047e9	−	3.14702e9i	−1.01162	−	0.848847i
$83$	−1.89349e9	+	3.27962e9i	−0.480697	+	0.832592i	−0.999755	−	0.0221471i	$-0.992950\pi$
$83$	−1.89349e9	+	3.27962e9i	−0.480697	+	0.832592i	0.519057	+	0.854739i	$0.326283\pi$
$84$	4.23523e9	−	2.44521e9i	1.01270	−	0.584682i
$85$	9.02399e7	−	5.11776e8i	0.0203378	−	0.115341i
$86$	−6.90438e9	−	1.21743e9i	−1.46768	−	0.258792i
$87$	−3.57794e9	−	6.19718e9i	−0.717856	−	1.24336i
$88$	1.04526e10	+	6.03479e9i	1.98066	+	1.14353i
$89$	−5.79417e9	+	6.90522e9i	−1.03763	+	1.23660i	−0.0665610	+	0.997782i	$0.521203\pi$
$89$	−5.79417e9	+	6.90522e9i	−1.03763	+	1.23660i	−0.971066	+	0.238813i	$0.923242\pi$
$90$	−7.16089e8	+	1.96744e9i	−0.121270	+	0.333187i
$91$	−3.61169e8	−	9.92303e8i	−0.0578766	−	0.159015i
$92$	3.41361e9	−	2.86435e9i	0.517934	−	0.434598i
$93$	−1.66083e9	−	9.41906e9i	−0.238733	−	1.35392i
$94$		−	1.15371e10i		−	1.57201i
$95$	3.33880e9	+	9.09465e8i	0.431492	+	0.117535i
$96$	4.23873e9			0.519852
$97$	3.45389e9	−	6.09014e8i	0.402207	−	0.0709199i	0.0311144	−	0.999516i	$-0.490094\pi$
$97$	3.45389e9	−	6.09014e8i	0.402207	−	0.0709199i	0.371093	+	0.928596i	$0.378983\pi$
$98$	1.42029e9	+	1.69264e9i	0.157126	+	0.187255i
$99$	7.82243e9	−	2.84713e9i	0.822556	−	0.299386i
$100$	3.29376e9	+	1.19883e9i	0.329376	+	0.119883i
$101$	−3.28147e9	−	2.75348e9i	−0.312220	−	0.261984i	0.473189	−	0.880961i	$-0.343103\pi$
$101$	−3.28147e9	−	2.75348e9i	−0.312220	−	0.261984i	−0.785409	+	0.618977i	$0.787547\pi$
$102$	1.73318e9	−	3.00196e9i	0.156980	−	0.271897i
$103$	1.04164e10	−	6.01390e9i	0.898526	−	0.518764i	0.0218044	−	0.999762i	$-0.493059\pi$
$103$	1.04164e10	−	6.01390e9i	0.898526	−	0.518764i	0.876722	+	0.480998i	$0.159726\pi$
$104$	−4.83411e8	+	2.74156e9i	−0.0397329	+	0.225336i
$105$	−3.75048e9	−	6.61311e8i	−0.293860	−	0.0518155i
$106$	2.11833e10	+	3.66906e10i	1.58294	+	2.74173i
$107$	−1.68662e10	−	9.73771e9i	−1.20254	−	0.694285i	−0.241419	−	0.970421i	$-0.577613\pi$
$107$	−1.68662e10	−	9.73771e9i	−1.20254	−	0.694285i	−0.961119	+	0.276136i	$0.910946\pi$
$108$	−1.76761e10	+	2.10656e10i	−1.20301	+	1.43369i
$109$	−6.90721e9	+	1.89774e10i	−0.448921	+	1.23340i	0.484555	+	0.874761i	$0.338982\pi$
$109$	−6.90721e9	+	1.89774e10i	−0.448921	+	1.23340i	−0.933476	+	0.358640i	$0.883241\pi$
$110$	−7.48619e9	−	2.05681e10i	−0.464834	−	1.27712i
$111$	6.29266e9	−	5.28017e9i	0.373439	−	0.313352i
$112$	9.01265e8	+	5.11133e9i	0.0511402	+	0.290031i
$113$			2.97571e10i			1.61509i	0.589803	+	0.807547i	$0.299205\pi$
$113$			2.97571e10i			1.61509i	−0.589803	+	0.807547i	$0.700795\pi$
$114$	1.88529e10	+	1.33176e10i	0.979162	+	0.691677i
$115$	−3.47015e9			−0.172528
$116$	7.20276e10	−	1.27004e10i	3.42933	−	0.604683i
$117$	1.23418e9	+	1.47084e9i	0.0562922	+	0.0670864i
$118$	−8.23643e9	+	2.99782e9i	−0.360022	+	0.131037i
$119$	−5.42286e9	−	1.97376e9i	−0.227245	−	0.0827103i
$120$	7.69091e9	+	6.45344e9i	0.309081	+	0.259349i
$121$	−3.05444e10	+	5.29044e10i	−1.17762	+	2.03969i
$122$	4.81458e10	−	2.77970e10i	1.78139	−	1.02849i
$123$	−2.81173e9	+	1.59461e10i	−0.0998731	+	0.566408i
$124$	9.62701e10	+	1.69750e10i	3.28385	+	0.579031i
$125$	−1.36479e9	−	2.36388e9i	−0.0447214	−	0.0774597i
$126$	2.01354e10	+	1.16252e10i	0.634026	+	0.366055i
$127$	6.39271e9	−	7.61853e9i	0.193493	−	0.230597i	−0.660571	−	0.750763i	$-0.729686\pi$
$127$	6.39271e9	−	7.61853e9i	0.193493	−	0.230597i	0.854065	+	0.520167i	$0.174130\pi$
$128$	−2.10357e10	+	5.77952e10i	−0.612220	+	1.68206i
$129$	7.93044e9	+	2.17887e10i	0.221998	+	0.609934i
$130$	3.86739e9	−	3.24512e9i	0.104160	−	0.0874006i
$131$	3.97882e9	+	2.25650e10i	0.103133	+	0.584896i	0.991950	+	0.126633i	$0.0404171\pi$
$131$	3.97882e9	+	2.25650e10i	0.103133	+	0.584896i	−0.888817	+	0.458263i	$0.848472\pi$
$132$		−	9.29592e10i		−	2.31965i
$133$	1.63844e10	−	3.47600e10i	0.393707	−	0.835259i
$134$	−1.12793e11			−2.61071
$135$	2.10892e10	−	3.71859e9i	0.470317	−	0.0829296i
$136$	9.77909e9	+	1.16543e10i	0.210186	+	0.250490i
$137$	−4.90892e10	+	1.78670e10i	−1.01715	+	0.370211i	−0.796173	−	0.605069i	$-0.793146\pi$
$137$	−4.90892e10	+	1.78670e10i	−1.01715	+	0.370211i	−0.220973	+	0.975280i	$0.570923\pi$
$138$	−2.17511e10	−	7.91674e9i	−0.434595	−	0.158180i
$139$	−5.65900e10	−	4.74846e10i	−1.09060	−	0.915122i	−0.0938430	−	0.995587i	$-0.529915\pi$
$139$	−5.65900e10	−	4.74846e10i	−1.09060	−	0.915122i	−0.996757	+	0.0804646i	$0.974360\pi$
$140$	1.94621e10	−	3.37094e10i	0.361868	−	0.626773i
$141$	−3.30445e10	+	1.90782e10i	−0.592929	+	0.342328i
$142$	−9.72201e9	+	5.51363e10i	−0.168389	+	0.954983i
$143$	−1.97677e10	−	3.48557e9i	−0.330579	−	0.0582900i
$144$	−4.71850e9	−	8.17269e9i	−0.0762065	−	0.131993i
$145$	−4.93250e10	−	2.84778e10i	−0.769533	−	0.444290i
$146$	9.28104e10	−	1.10607e11i	1.39905	−	1.66732i
$147$	2.49939e9	−	6.86702e9i	0.0364123	−	0.100042i
$148$	2.87155e10	+	7.88952e10i	0.404397	+	1.11107i
$149$	7.40399e10	−	6.21269e10i	1.00817	−	0.845957i	0.0200765	−	0.999798i	$-0.493609\pi$
$149$	7.40399e10	−	6.21269e10i	1.00817	−	0.845957i	0.988096	+	0.153842i	$0.0491646\pi$
$150$	−3.16163e9	−	1.79305e10i	−0.0416347	−	0.236122i
$151$		−	1.04785e11i		−	1.33479i	−0.744705	−	0.667394i	$-0.767410\pi$
$151$		−	1.04785e11i		−	1.33479i	0.744705	−	0.667394i	$-0.232590\pi$
$152$	−8.32249e10	+	5.77626e10i	−1.02574	+	0.711916i
$153$	1.04929e10			0.125152
$154$	−2.39373e11	+	4.22079e10i	−2.76357	+	0.487293i
$155$	−4.89324e10	−	5.83154e10i	−0.546938	−	0.651816i
$156$	2.01480e10	−	7.33328e9i	0.218077	−	0.0793735i
$157$	−9.43340e10	−	3.43348e10i	−0.988940	−	0.359945i	−0.203630	−	0.979048i	$-0.565274\pi$
$157$	−9.43340e10	−	3.43348e10i	−0.988940	−	0.359945i	−0.785310	+	0.619103i	$0.787496\pi$
$158$	5.69215e10	+	4.77628e10i	0.578084	+	0.485070i
$159$	7.00594e10	−	1.21346e11i	0.689415	−	1.19410i
$160$	2.92173e10	−	1.68686e10i	0.278638	−	0.160872i
$161$	−6.69164e9	+	3.79502e10i	−0.0618591	+	0.350820i
$162$	5.35521e10	+	9.44268e9i	0.479956	+	0.0846292i
$163$	−8.12245e10	−	1.40685e11i	−0.705910	−	1.22267i	−0.966362	−	0.257185i	$-0.917205\pi$
$163$	−8.12245e10	−	1.40685e11i	−0.705910	−	1.22267i	0.260452	−	0.965487i	$-0.416128\pi$
$164$	−1.43324e11	−	8.27481e10i	−1.20809	−	0.697491i
$165$	−4.65317e10	+	5.54543e10i	−0.380478	+	0.453436i
$166$	−6.87643e10	+	1.88928e11i	−0.545535	+	1.49885i
$167$	1.98400e10	+	5.45098e10i	0.152742	+	0.419655i	0.992337	−	0.123557i	$-0.0394302\pi$
$167$	1.98400e10	+	5.45098e10i	0.152742	+	0.419655i	−0.839595	+	0.543212i	$0.817208\pi$
$168$	8.54067e10	−	7.16647e10i	0.638183	−	0.535499i
$169$	2.31349e10	+	1.31205e11i	0.167816	+	0.951735i
$170$		−	2.75898e10i		−	0.194314i
$171$	−6.37788e9	+	6.95796e10i	−0.0436210	+	0.475884i
$172$	−2.36990e11			−1.57430
$173$	2.30665e11	−	4.06725e10i	1.48851	−	0.262464i	0.630536	−	0.776160i	$-0.282835\pi$
$173$	2.30665e11	−	4.06725e10i	1.48851	−	0.262464i	0.857973	+	0.513696i	$0.171724\pi$
$174$	−2.44203e11	−	2.91029e11i	−1.53110	−	1.82470i
$175$	−2.84836e10	+	1.03672e10i	−0.173542	+	0.0631641i
$176$	9.27073e10	+	3.37427e10i	0.548973	+	0.199810i
$177$	2.22065e10	+	1.86334e10i	0.127824	+	0.107257i
$178$	−2.39284e11	+	4.14451e11i	−1.33910	+	2.31939i
$179$	4.25060e10	−	2.45409e10i	0.231305	−	0.133544i	−0.379869	−	0.925040i	$-0.624031\pi$
$179$	4.25060e10	−	2.45409e10i	0.231305	−	0.133544i	0.611174	+	0.791496i	$0.290698\pi$
$180$	−1.22897e10	+	6.96984e10i	−0.0650398	+	0.368859i
$181$	−1.71832e11	−	3.02987e10i	−0.884528	−	0.155966i	−0.287112	−	0.957897i	$-0.592695\pi$
$181$	−1.71832e11	−	3.02987e10i	−0.884528	−	0.155966i	−0.597417	+	0.801931i	$0.703806\pi$
$182$	−2.80316e10	−	4.85521e10i	−0.140375	−	0.243137i
$183$	−1.59232e11	−	9.19328e10i	−0.775846	−	0.447935i
$184$	6.53008e10	−	7.78224e10i	0.309620	−	0.368991i
$185$	2.23617e10	−	6.14384e10i	0.103192	−	0.283518i
$186$	−1.73671e11	−	4.77157e11i	−0.780122	−	2.14337i
$187$	−8.40316e10	+	7.05109e10i	−0.367481	+	0.308353i
$188$	−6.77208e10	−	3.84064e11i	−0.288359	−	1.63536i
$189$		−	2.37806e11i		−	0.986082i
$190$	1.82951e11	+	1.67699e10i	0.738869	+	0.0677270i
$191$	1.40487e11			0.552674			0.276337	−	0.961061i	$-0.410879\pi$
$191$	1.40487e11			0.552674			0.276337	+	0.961061i	$0.410879\pi$
$192$	2.80836e11	−	4.95189e10i	1.07633	−	0.189786i
$193$	2.72777e9	+	3.25083e9i	0.0101864	+	0.0121397i	0.771114	−	0.636698i	$-0.219700\pi$
$193$	2.72777e9	+	3.25083e9i	0.0101864	+	0.0121397i	−0.760927	+	0.648837i	$0.775256\pi$
$194$	1.74969e11	−	6.36836e10i	0.636727	−	0.231750i
$195$	−1.56900e10	−	5.71068e9i	−0.0556479	−	0.0202542i
$196$	5.72164e10	+	4.80103e10i	0.197806	+	0.165979i
$197$	−1.11851e11	+	1.93731e11i	−0.376970	+	0.652932i	−0.990620	−	0.136647i	$-0.956367\pi$
$197$	−1.11851e11	+	1.93731e11i	−0.376970	+	0.652932i	0.613650	+	0.789578i	$0.289701\pi$
$198$	3.82742e11	−	2.20976e11i	1.25771	−	0.726138i
$199$	5.52210e10	−	3.13174e11i	0.176945	−	1.00351i	−0.758929	−	0.651173i	$-0.774277\pi$
$199$	5.52210e10	−	3.13174e11i	0.176945	−	1.00351i	0.935875	−	0.352333i	$-0.114612\pi$
$200$	7.86953e10	+	1.38761e10i	0.245923	+	0.0433628i
$201$	1.86520e11	+	3.23062e11i	0.568519	+	0.984703i
$202$	−1.96954e11	−	1.13711e11i	−0.585608	−	0.338101i
$203$	−4.06554e11	+	4.84512e11i	−1.17934	+	1.40548i
$204$	4.00758e10	−	1.10107e11i	0.113431	−	0.311649i
$205$	4.40787e10	+	1.21105e11i	0.121747	+	0.334498i
$206$	4.89170e11	−	4.10462e11i	1.31863	−	1.10646i
$207$	−1.21670e10	−	6.90027e10i	−0.0320135	−	0.181557i
$208$			2.27553e10i			0.0584475i
$209$	−4.16490e11	−	6.00083e11i	−1.04441	−	1.50480i
$210$	−2.02188e11			−0.495061
$211$	−6.41015e9	+	1.13028e9i	−0.0153269	+	0.00270255i	−0.181306	−	0.983427i	$-0.558033\pi$
$211$	−6.41015e9	+	1.13028e9i	−0.0153269	+	0.00270255i	0.165979	+	0.986129i	$0.446921\pi$
$212$	9.20551e11	+	1.09707e12i	2.14965	+	2.56186i
$213$	1.73998e11	−	6.33301e10i	0.396868	−	0.144448i
$214$	−9.71610e11	−	3.53637e11i	−2.16483	−	0.787932i
$215$	1.41375e11	+	1.18628e11i	0.307738	+	0.258223i
$216$	−3.13459e11	+	5.42927e11i	−0.666671	+	1.15471i
$217$	−7.32106e11	+	4.22682e11i	−1.52151	+	0.878445i
$218$	−1.86183e11	+	1.05590e12i	−0.378145	+	2.14457i
$219$	−4.70276e11	−	8.29224e10i	−0.933539	−	0.164608i
$220$	−3.69944e11	−	6.40761e11i	−0.717831	−	1.24332i
$221$	−2.19116e10	−	1.26507e10i	−0.0415635	−	0.0239967i
$222$	2.80329e11	−	3.34083e11i	0.519879	−	0.619568i
$223$	7.93949e10	−	2.18136e11i	0.143969	−	0.395551i	−0.846660	−	0.532135i	$-0.821390\pi$
$223$	7.93949e10	−	2.18136e11i	0.143969	−	0.395551i	0.990629	+	0.136584i	$0.0436123\pi$
$224$	−1.28137e11	−	3.52054e11i	−0.227214	−	0.624265i
$225$	4.22197e10	−	3.54265e10i	0.0732154	−	0.0614350i
$226$	2.74334e11	+	1.55583e12i	0.465305	+	2.63887i
$227$		−	5.77152e11i		−	0.957548i	−0.877938	−	0.478774i	$-0.841081\pi$
$227$		−	5.77152e11i		−	0.957548i	0.877938	−	0.478774i	$-0.158919\pi$
$228$	7.05778e11	+	3.32675e11i	1.14550	+	0.539940i
$229$	4.32095e11			0.686122			0.343061	−	0.939313i	$-0.388536\pi$
$229$	4.32095e11			0.686122			0.343061	+	0.939313i	$0.388536\pi$
$230$	−1.81434e11	+	3.19918e10i	−0.281890	+	0.0497049i
$231$	5.16729e11	+	6.15814e11i	0.785603	+	0.936245i
$232$	1.56684e12	−	5.70283e11i	2.33123	−	0.848498i
$233$	1.00195e12	+	3.64679e11i	1.45903	+	0.531044i	0.945098	−	0.326786i	$-0.105966\pi$
$233$	1.00195e12	+	3.64679e11i	1.45903	+	0.531044i	0.513934	+	0.857830i	$0.328188\pi$
$234$	7.80878e10	+	6.55235e10i	0.111302	+	0.0933937i
$235$	−1.51849e11	+	2.63010e11i	−0.211871	+	0.366972i
$236$	−2.56590e11	+	1.48143e11i	−0.350494	+	0.202358i
$237$	4.26741e10	−	2.42017e11i	0.0570720	−	0.323671i
$238$	−3.01726e11	−	5.32025e10i	−0.395120	−	0.0696702i
$239$	−3.75314e11	−	6.50063e11i	−0.481288	−	0.833616i	0.518481	−	0.855089i	$-0.326498\pi$
$239$	−3.75314e11	−	6.50063e11i	−0.481288	−	0.833616i	−0.999769	+	0.0214731i	$0.993164\pi$
$240$	7.10707e10	+	4.10327e10i	0.0892554	+	0.0515316i
$241$	1.62337e11	−	1.93465e11i	0.199678	−	0.237967i	−0.656908	−	0.753970i	$-0.728136\pi$
$241$	1.62337e11	−	1.93465e11i	0.199678	−	0.237967i	0.856587	+	0.516003i	$0.172581\pi$
$242$	−1.10926e12	+	3.04766e12i	−1.33646	+	3.67189i
$243$	2.47952e11	+	6.81241e11i	0.292641	+	0.804025i
$244$	1.43959e12	−	1.20796e12i	1.66452	−	1.39670i
$245$	−1.01001e10	−	5.72806e10i	−0.0114418	−	0.0648899i
$246$			8.59653e11i			0.954218i
$247$	9.72066e10	−	1.37609e11i	0.105733	−	0.149679i
$248$	2.22860e12			2.37560
$249$	6.54840e11	−	1.15466e11i	0.684130	−	0.120631i
$250$	−9.31498e10	−	1.11012e11i	−0.0953854	−	0.113676i
$251$	−9.40032e11	+	3.42144e11i	−0.943569	+	0.343431i	−0.767574	−	0.640960i	$-0.778536\pi$
$251$	−9.40032e11	+	3.42144e11i	−0.943569	+	0.343431i	−0.175995	+	0.984391i	$0.556314\pi$
$252$	7.38536e11	+	2.68805e11i	0.726723	+	0.264505i
$253$	5.61129e11	+	4.70843e11i	0.541327	+	0.454227i
$254$	2.64002e11	−	4.57264e11i	0.249711	−	0.432513i
$255$	−7.90225e10	+	4.56237e10i	−0.0732909	+	0.0423145i
$256$	−2.78228e11	+	1.57791e12i	−0.253047	+	1.43510i
$257$	−4.71200e11	−	8.30853e10i	−0.420281	−	0.0741069i	−0.0404916	−	0.999180i	$-0.512892\pi$
$257$	−4.71200e11	−	8.30853e10i	−0.420281	−	0.0741069i	−0.379789	+	0.925073i	$0.624004\pi$
$258$	6.15510e11	+	1.06609e12i	0.538439	+	0.932604i
$259$	−6.28780e11	−	3.63026e11i	−0.539510	−	0.311486i
$260$	1.09695e11	−	1.30730e11i	0.0923253	−	0.110029i
$261$	3.93327e11	−	1.08066e12i	0.324752	−	0.892249i
$262$	4.16059e11	+	1.14311e12i	0.337014	+	0.925939i
$263$	2.63998e9	−	2.21521e9i	0.00209808	−	0.00176050i	−0.641738	−	0.766924i	$-0.721786\pi$
$263$	2.63998e9	−	2.21521e9i	0.00209808	−	0.00176050i	0.643836	+	0.765163i	$0.277342\pi$
$264$	−3.68005e11	−	2.08706e12i	−0.286969	−	1.62748i
$265$		−	1.11524e12i		−	0.853375i
$266$	5.36191e11	−	1.96845e12i	0.402635	−	1.47814i
$267$	1.58276e12			1.16643
$268$	−3.75483e12	+	6.62078e11i	−2.71592	+	0.478889i
$269$	7.25927e11	+	8.65126e11i	0.515384	+	0.614211i	0.959483	−	0.281767i	$-0.0909204\pi$
$269$	7.25927e11	+	8.65126e11i	0.515384	+	0.614211i	−0.444098	+	0.895978i	$0.646476\pi$
$270$	1.06835e12	−	3.88847e11i	0.744551	−	0.270994i
$271$	1.04894e12	+	3.81784e11i	0.717638	+	0.261199i	0.674923	−	0.737888i	$-0.264177\pi$
$271$	1.04894e12	+	3.81784e11i	0.717638	+	0.261199i	0.0427155	+	0.999087i	$0.486399\pi$
$272$	9.52623e10	+	7.99345e10i	0.0639847	+	0.0536896i
$273$	−9.27086e10	+	1.60576e11i	−0.0611374	+	0.105893i
$274$	−2.40187e12	+	1.38672e12i	−1.55524	+	0.897918i
$275$	−1.00052e11	+	5.67422e11i	−0.0636153	+	0.360780i
$276$	−7.70553e11	−	1.35869e11i	−0.481124	−	0.0848352i
$277$	7.35870e11	+	1.27456e12i	0.451235	+	0.781561i	0.998463	−	0.0554221i	$-0.0176504\pi$
$277$	7.35870e11	+	1.27456e12i	0.451235	+	0.781561i	−0.547228	+	0.836983i	$0.684317\pi$
$278$	−3.39653e12	−	1.96099e12i	−2.04556	−	1.18100i
$279$	9.88013e11	−	1.17747e12i	0.584442	−	0.696511i
$280$	3.03503e11	−	8.33867e11i	0.176349	−	0.484515i
$281$	3.15446e9	+	8.66681e9i	0.00180050	+	0.00494684i	0.940590	−	0.339546i	$-0.110273\pi$
$281$	3.15446e9	+	8.66681e9i	0.00180050	+	0.00494684i	−0.938789	+	0.344492i	$0.888051\pi$
$282$	−1.55182e12	+	1.30213e12i	−0.870153	+	0.730145i
$283$	8.35465e10	+	4.73816e11i	0.0460253	+	0.261022i	0.999134	−	0.0416055i	$-0.0132473\pi$
$283$	8.35465e10	+	4.73816e11i	0.0460253	+	0.261022i	−0.953109	+	0.302628i	$0.902136\pi$
$284$			1.89253e12i			1.02436i
$285$	−2.54504e11	−	5.51740e11i	−0.135354	−	0.293434i
$286$	−1.06567e12			−0.556921
$287$	1.40943e12	−	2.48520e11i	0.723824	−	0.127630i
$288$	4.37867e11	+	5.21830e11i	0.220994	+	0.263370i
$289$	1.76448e12	−	6.42219e11i	0.875242	−	0.318562i
$290$	−2.84146e12	−	1.03421e12i	−1.38533	−	0.504217i
$291$	−4.71740e11	−	3.95837e11i	−0.226067	−	0.189693i
$292$	2.44037e12	−	4.22685e12i	1.14959	−	1.99114i
$293$	1.37542e12	−	7.94100e11i	0.636939	−	0.367737i	−0.146496	−	0.989211i	$-0.546799\pi$
$293$	1.37542e12	−	7.94100e11i	0.636939	−	0.367737i	0.783434	+	0.621475i	$0.213466\pi$
$294$	6.73709e10	−	3.82079e11i	0.0306715	−	0.173947i
$295$	2.27222e11	+	4.00654e10i	0.101705	+	0.0179333i
$296$	9.57031e11	+	1.65763e12i	0.421180	+	0.729505i
$297$	−3.91470e12	−	2.26015e12i	−1.69401	−	0.978038i
$298$	3.29837e12	−	3.93084e12i	1.40352	−	1.67265i
$299$	−5.77849e10	+	1.58763e11i	−0.0241801	+	0.0664344i
$300$	−2.10499e11	−	5.78340e11i	−0.0866249	−	0.238000i
$301$	1.56995e12	−	1.31735e12i	0.635411	−	0.533173i
$302$	−9.66021e11	−	5.47858e12i	−0.384549	−	2.18089i
$303$			7.52152e11i			0.294505i
$304$	−5.87960e11	+	5.83110e11i	−0.226454	+	0.224586i
$305$	−1.46344e12			−0.554465
$306$	5.48612e11	−	9.67351e10i	0.204483	−	0.0360559i
$307$	6.31330e11	+	7.52389e11i	0.231507	+	0.275899i	0.869275	−	0.494330i	$-0.164586\pi$
$307$	6.31330e11	+	7.52389e11i	0.231507	+	0.275899i	−0.637768	+	0.770229i	$0.720142\pi$
$308$	−7.72086e12	+	2.81016e12i	−2.78556	+	1.01386i
$309$	−1.98456e12	−	7.22320e11i	−0.704484	−	0.256411i
$310$	−3.09601e12	−	2.59786e12i	−1.08142	−	0.907419i
$311$	−1.37968e12	+	2.38968e12i	−0.474217	+	0.821368i	−0.999564	−	0.0295200i	$-0.990602\pi$
$311$	−1.37968e12	+	2.38968e12i	−0.474217	+	0.821368i	0.525347	+	0.850888i	$0.323935\pi$
$312$	4.23320e11	−	2.44404e11i	0.143184	−	0.0826676i
$313$	−4.28093e11	+	2.42784e12i	−0.142501	+	0.808161i	0.826839	+	0.562438i	$0.190137\pi$
$313$	−4.28093e11	+	2.42784e12i	−0.142501	+	0.808161i	−0.969340	+	0.245723i	$0.920975\pi$
$314$	−5.24871e12	−	9.25490e11i	−1.71951	−	0.303196i
$315$	−3.06017e11	−	5.30036e11i	−0.0986716	−	0.170904i
$316$	2.17525e12	+	1.25588e12i	0.690357	+	0.398578i
$317$	1.25503e12	−	1.49569e12i	0.392066	−	0.467246i	−0.533518	−	0.845789i	$-0.679130\pi$
$317$	1.25503e12	−	1.49569e12i	0.392066	−	0.467246i	0.925584	+	0.378543i	$0.123575\pi$
$318$	2.54429e12	−	6.99039e12i	0.782405	−	2.14964i
$319$	4.11195e12	+	1.12975e13i	1.24479	+	3.42002i
$320$	1.73872e12	−	1.45896e12i	0.518178	−	0.434803i
$321$	5.93812e11	+	3.36767e12i	0.174230	+	0.988109i
$322$			2.04589e12i			0.591020i
$323$	−2.34617e11	−	8.90335e11i	−0.0667340	−	0.253245i
$324$	1.83815e12			0.514821
$325$	−1.30876e11	+	2.30770e10i	−0.0360947	+	0.00636448i
$326$	−5.54376e12	−	6.60679e12i	−1.50562	−	1.79433i
$327$	3.33218e12	−	1.21281e12i	0.891230	−	0.324381i
$328$	−3.54540e12	−	1.29042e12i	−0.933890	−	0.339908i
$329$	2.58350e12	+	2.16782e12i	0.670239	+	0.562397i
$330$	−1.92164e12	+	3.32837e12i	−0.491022	+	0.850476i
$331$	4.50280e12	−	2.59969e12i	1.13330	−	0.654308i	0.188534	−	0.982067i	$-0.439627\pi$
$331$	4.50280e12	−	2.59969e12i	1.13330	−	0.654308i	0.944762	+	0.327758i	$0.106293\pi$
$332$	−1.18015e12	+	6.69298e12i	−0.292582	+	1.65932i
$333$	1.30008e12	+	2.29240e11i	0.317505	+	0.0559846i
$334$	1.53985e12	+	2.66710e12i	0.370464	+	0.641663i
$335$	2.57134e12	+	1.48456e12i	0.609446	+	0.351864i
$336$	5.85790e11	−	6.98117e11i	0.136787	−	0.163017i
$337$	1.80965e12	−	4.97196e12i	0.416336	−	1.14387i	−0.537426	−	0.843311i	$-0.680603\pi$
$337$	1.80965e12	−	4.97196e12i	0.416336	−	1.14387i	0.953762	−	0.300563i	$-0.0971746\pi$
$338$	2.41918e12	+	6.64665e12i	0.548385	+	1.50667i
$339$	4.00254e12	−	3.35853e12i	0.893999	−	0.750155i
$340$	−1.61948e11	−	9.18451e11i	−0.0356435	−	0.202144i
$341$			1.60690e13i			3.48512i
$342$	3.08000e11	+	3.69671e12i	0.0658295	+	0.790106i
$343$	−5.02979e12			−1.05945
$344$	−5.32075e12	+	9.38191e11i	−1.10454	+	0.194760i
$345$	3.91659e11	+	4.66761e11i	0.0801332	+	0.0954990i
$346$	1.16852e13	−	4.25306e12i	2.35643	−	0.857671i
$347$	3.98291e12	+	1.44966e12i	0.791686	+	0.288150i	0.706037	−	0.708175i	$-0.250481\pi$
$347$	3.98291e12	+	1.44966e12i	0.791686	+	0.288150i	0.0856495	+	0.996325i	$0.472703\pi$
$348$	−9.83769e12	−	8.25480e12i	−1.92751	−	1.61737i
$349$	7.70497e11	−	1.33454e12i	0.148814	−	0.257753i	−0.781975	−	0.623309i	$-0.785788\pi$
$349$	7.70497e11	−	1.33454e12i	0.148814	−	0.257753i	0.930789	+	0.365556i	$0.119121\pi$
$350$	−1.39367e12	+	8.04634e11i	−0.265350	+	0.153200i
$351$	1.81048e11	−	1.02677e12i	0.0339826	−	0.192725i
$352$	−7.01327e12	−	1.23663e12i	−1.29780	−	0.228837i
$353$	−2.24786e12	−	3.89341e12i	−0.410106	−	0.710325i	0.584795	−	0.811181i	$-0.301175\pi$
$353$	−2.24786e12	−	3.89341e12i	−0.410106	−	0.710325i	−0.994901	+	0.100857i	$0.967842\pi$
$354$	1.33283e12	+	7.69511e11i	0.239750	+	0.138420i
$355$	9.47326e11	−	1.12898e12i	0.168019	−	0.200237i
$356$	−5.53288e12	+	1.52015e13i	−0.967612	+	2.65849i
$357$	3.46566e11	+	9.52182e11i	0.0597647	+	0.164202i
$358$	1.99615e12	−	1.67497e12i	0.339452	−	0.284834i
$359$	−1.21572e11	−	6.89469e11i	−0.0203874	−	0.115623i	0.972916	−	0.231160i	$-0.0742521\pi$
$359$	−1.21572e11	−	6.89469e11i	−0.0203874	−	0.115623i	−0.993303	+	0.115537i	$0.963141\pi$
$360$			1.61348e12i			0.266840i
$361$	6.04653e12	−	1.01460e12i	0.986212	−	0.165486i
$362$	−9.26345e12			−1.49015
$363$	1.05634e13	−	1.86261e12i	1.67599	−	0.295522i
$364$	−1.21815e12	−	1.45174e12i	−0.190632	−	0.227186i
$365$	−3.57158e12	+	1.29995e12i	−0.551311	+	0.200661i
$366$	−9.17288e12	−	3.33865e12i	−1.39669	−	0.508354i
$367$	6.28370e11	+	5.27265e11i	0.0943812	+	0.0791952i	0.688757	−	0.724992i	$-0.258157\pi$
$367$	6.28370e11	+	5.27265e11i	0.0943812	+	0.0791952i	−0.594376	+	0.804187i	$0.702601\pi$
$368$	4.15200e11	−	7.19147e11i	0.0615202	−	0.106556i
$369$	−2.25358e12	+	1.30111e12i	−0.329414	+	0.190187i
$370$	6.02759e11	−	3.41841e12i	0.0869230	−	0.492965i
$371$	−1.21965e13	−	2.15057e12i	−1.73526	−	0.305974i
$372$	−8.58226e12	−	1.48649e13i	−1.20472	−	2.08664i
$373$	2.13155e12	+	1.23065e12i	0.295224	+	0.170448i	0.640295	−	0.768129i	$-0.278812\pi$
$373$	2.13155e12	+	1.23065e12i	0.295224	+	0.170448i	−0.345071	+	0.938576i	$0.612145\pi$
$374$	−3.74348e12	+	4.46130e12i	−0.511584	+	0.609682i
$375$	−1.63922e11	+	4.50373e11i	−0.0221046	+	0.0607318i
$376$	−3.04085e12	−	8.35467e12i	−0.404628	−	1.11171i
$377$	−2.12425e12	+	1.78245e12i	−0.278932	+	0.234052i
$378$	−2.19236e12	−	1.24335e13i	−0.284088	−	1.61114i
$379$			4.13398e11i			0.0528655i	0.999651	+	0.0264328i	$0.00841479\pi$
$379$			4.13398e11i			0.0528655i	−0.999651	+	0.0264328i	$0.991585\pi$
$380$	6.18880e12	−	5.15634e11i	0.781068	−	0.0650765i
$381$	−1.74626e12			−0.217513
$382$	7.34525e12	−	1.29517e12i	0.903004	−	0.159224i
$383$	3.49589e12	+	4.16623e12i	0.424193	+	0.505533i	0.935238	−	0.354021i	$-0.115186\pi$
$383$	3.49589e12	+	4.16623e12i	0.424193	+	0.505533i	−0.511045	+	0.859554i	$0.670741\pi$
$384$	1.01481e13	−	3.69360e12i	1.21542	−	0.442378i
$385$	6.01250e12	+	2.18837e12i	0.710806	+	0.258712i
$386$	1.72589e11	+	1.44820e11i	0.0201408	+	0.0169002i
$387$	−1.86318e12	+	3.22712e12i	−0.214635	+	0.371758i
$388$	5.45084e12	−	3.14704e12i	0.619876	−	0.357885i
$389$	4.16952e11	−	2.36465e12i	0.0468099	−	0.265472i	−0.952416	−	0.304800i	$-0.901410\pi$
$389$	4.16952e11	−	2.36465e12i	0.0468099	−	0.265472i	0.999226	+	0.0393276i	$0.0125216\pi$
$390$	−8.72985e11	−	1.53931e11i	−0.0967573	−	0.0170609i
$391$	4.61655e11	+	7.99609e11i	0.0505165	+	0.0874972i
$392$	1.47465e12	+	8.51389e11i	0.159316	+	0.0919809i
$393$	2.58609e12	−	3.08198e12i	0.275855	−	0.328751i
$394$	−4.06199e12	+	1.11602e13i	−0.427817	+	1.17542i
$395$	−6.68990e11	−	1.83803e12i	−0.0695719	−	0.191147i
$396$	1.14442e13	−	9.60282e12i	1.17519	−	0.986105i
$397$	−1.31026e12	−	7.43085e12i	−0.132863	−	0.753505i	−0.976324	−	0.216314i	$-0.930597\pi$
$397$	−1.31026e12	−	7.43085e12i	−0.132863	−	0.753505i	0.843461	−	0.537191i	$-0.180515\pi$
$398$		−	1.68831e13i		−	1.69059i
$399$	−6.52470e12	+	1.71936e12i	−0.645202	+	0.170021i
$400$	6.53181e11			0.0637872
$401$	1.86130e13	−	3.28198e12i	1.79513	−	0.316530i	0.826109	−	0.563511i	$-0.190550\pi$
$401$	1.86130e13	−	3.28198e12i	1.79513	−	0.316530i	0.969020	+	0.246981i	$0.0794386\pi$
$402$	1.27304e13	+	1.51715e13i	1.21258	+	1.44510i
$403$	−3.48281e12	+	1.26764e12i	−0.327646	+	0.119253i
$404$	−7.22396e12	−	2.62931e12i	−0.671226	−	0.244306i
$405$	−1.09654e12	−	9.20107e11i	−0.100635	−	0.0844429i
$406$	−1.67896e13	+	2.90804e13i	−1.52198	+	2.63615i
$407$	−1.19521e13	+	6.90055e12i	−1.07022	+	0.617891i
$408$	4.63866e11	−	2.63072e12i	0.0410291	−	0.232688i
$409$	1.13764e13	+	2.00597e12i	0.994008	+	0.175270i	0.646916	−	0.762561i	$-0.276058\pi$
$409$	1.13764e13	+	2.00597e12i	0.994008	+	0.175270i	0.347091	+	0.937831i	$0.387169\pi$
$410$	3.42111e12	+	5.92553e12i	0.295289	+	0.511455i
$411$	7.94370e12	+	4.58630e12i	0.677351	+	0.391069i
$412$	1.38749e13	−	1.65354e13i	1.16881	−	1.39293i
$413$	8.76324e11	−	2.40768e12i	0.0729314	−	0.200377i
$414$	−1.27229e12	−	3.49558e12i	−0.104613	−	0.287421i
$415$	4.05426e12	−	3.40193e12i	0.329360	−	0.276366i
$416$	−2.85229e11	−	1.61761e12i	−0.0228943	−	0.129840i
$417$			1.29711e13i			1.02872i
$418$	−2.73081e13	−	2.75352e13i	−2.13998	−	2.15778i
$419$	1.31757e12			0.102024			0.0510122	−	0.998698i	$-0.483755\pi$
$419$	1.31757e12			0.102024			0.0510122	+	0.998698i	$0.483755\pi$
$420$	−6.73074e12	+	1.18681e12i	−0.515011	+	0.0908103i
$421$	−1.30504e13	−	1.55529e13i	−0.986764	−	1.17598i	−0.984393	−	0.175983i	$-0.943690\pi$
$421$	−1.30504e13	−	1.55529e13i	−0.986764	−	1.17598i	−0.00237114	−	0.999997i	$-0.500755\pi$
$422$	−3.24729e11	+	1.18192e11i	−0.0242638	+	0.00883131i
$423$	−5.76226e12	−	2.09729e12i	−0.425492	−	0.154866i
$424$	2.50107e13	+	2.09865e13i	1.82514	+	1.53147i
$425$	−3.63131e11	+	6.28962e11i	−0.0261890	+	0.0453607i
$426$	8.51350e12	−	4.91527e12i	0.606821	−	0.350348i
$427$	−2.82201e12	+	1.60044e13i	−0.198801	+	1.12746i
$428$	−3.44202e13	−	6.06922e12i	−2.39660	−	0.422585i
$429$	1.76224e12	+	3.05230e12i	0.121277	+	0.210058i
$430$	8.48533e12	+	4.89901e12i	0.577200	+	0.333247i
$431$	7.19273e12	−	8.57196e12i	0.483624	−	0.576360i	−0.467960	−	0.883750i	$-0.655011\pi$
$431$	7.19273e12	−	8.57196e12i	0.483624	−	0.576360i	0.951584	+	0.307389i	$0.0994554\pi$
$432$	−1.75266e12	+	4.81540e12i	−0.116488	+	0.320047i
$433$	−7.75245e12	−	2.12997e13i	−0.509330	−	1.39937i	−0.881930	−	0.471381i	$-0.843756\pi$
$433$	−7.75245e12	−	2.12997e13i	−0.509330	−	1.39937i	0.372599	−	0.927992i	$-0.378467\pi$
$434$	−3.43809e13	+	2.88490e13i	−2.23289	+	1.87362i
$435$	1.73660e12	+	9.84872e12i	0.111494	+	0.632315i
$436$			3.62432e13i			2.30035i
$437$	−5.58292e12	+	2.57527e12i	−0.350311	+	0.161590i
$438$	−2.53525e13			−1.57272
$439$	2.24952e13	−	3.96651e12i	1.37965	−	0.243269i	0.565893	−	0.824479i	$-0.308532\pi$
$439$	2.24952e13	−	3.96651e12i	1.37965	−	0.243269i	0.813753	+	0.581210i	$0.197421\pi$
$440$	−1.08424e13	−	1.29214e13i	−0.657448	−	0.783516i
$441$	1.10359e12	−	4.01674e11i	0.0661629	−	0.0240813i
$442$	−1.26226e12	−	4.59424e11i	−0.0748233	−	0.0272334i
$443$	1.65336e12	+	1.38733e12i	0.0969055	+	0.0813134i	0.689953	−	0.723854i	$-0.257631\pi$
$443$	1.65336e12	+	1.38733e12i	0.0969055	+	0.0813134i	−0.593048	+	0.805167i	$0.702075\pi$
$444$	7.37100e12	−	1.27669e13i	0.427181	−	0.739898i
$445$	1.09099e13	−	6.29881e12i	0.625200	−	0.360960i
$446$	2.14008e12	−	1.21370e13i	0.121271	−	0.687761i
$447$	−1.67130e13	−	2.94696e12i	−0.936521	−	0.165134i
$448$	−1.26026e13	−	2.18283e13i	−0.698342	−	1.20956i
$449$	2.00021e13	+	1.15482e13i	1.09609	+	0.632826i	0.935190	−	0.354146i	$-0.115228\pi$
$449$	2.00021e13	+	1.15482e13i	1.09609	+	0.632826i	0.160896	+	0.986971i	$0.448562\pi$
$450$	1.88082e12	−	2.24148e12i	0.101926	−	0.121471i
$451$	9.30441e12	−	2.55636e13i	0.498662	−	1.37006i
$452$	1.82649e13	+	5.01824e13i	0.968111	+	2.65986i
$453$	−1.40943e13	+	1.18265e13i	−0.738842	+	0.619962i
$454$	−5.32083e12	−	3.01759e13i	−0.275867	−	1.56452i
$455$			1.47579e12i			0.0756774i
$456$	1.71627e13	+	4.67498e12i	0.870484	+	0.237113i
$457$	−1.17330e12			−0.0588609			−0.0294304	−	0.999567i	$-0.509369\pi$
$457$	−1.17330e12			−0.0588609			−0.0294304	+	0.999567i	$0.509369\pi$
$458$	2.25917e13	−	3.98353e12i	1.12104	−	0.197670i
$459$	−3.66247e12	−	4.36476e12i	−0.179767	−	0.214238i
$460$	−5.85208e12	+	2.12998e12i	−0.284133	+	0.103416i
$461$	−9.82187e12	−	3.57487e12i	−0.471726	−	0.171694i	0.0952082	−	0.995457i	$-0.469648\pi$
$461$	−9.82187e12	−	3.57487e12i	−0.471726	−	0.171694i	−0.566934	+	0.823763i	$0.691871\pi$
$462$	3.26941e13	+	2.74336e13i	1.55331	+	1.30338i
$463$	−6.87473e12	+	1.19074e13i	−0.323110	+	0.559644i	−0.981128	−	0.193359i	$-0.938062\pi$
$463$	−6.87473e12	+	1.19074e13i	−0.323110	+	0.559644i	0.658018	+	0.753002i	$0.271395\pi$
$464$	1.18034e13	−	6.81468e12i	0.548802	−	0.316851i
$465$	−2.32109e12	+	1.31635e13i	−0.106764	+	0.605491i
$466$	5.57480e13	+	9.82988e12i	2.53688	+	0.447320i
$467$	1.14099e13	+	1.97626e13i	0.513687	+	0.889733i	0.999874	+	0.0158775i	$0.00505419\pi$
$467$	1.14099e13	+	1.97626e13i	0.513687	+	0.889733i	−0.486187	+	0.873855i	$0.661612\pi$
$468$	2.98412e12	+	1.72288e12i	0.132919	+	0.0767409i
$469$	2.11938e13	−	2.52578e13i	0.933997	−	1.11309i
$470$	−5.51458e12	+	1.51512e13i	−0.240449	+	0.660628i
$471$	6.02873e12	+	1.65638e13i	0.260088	+	0.714587i
$472$	−5.17434e12	+	4.34179e12i	−0.220874	+	0.185336i
$473$	−6.76471e12	−	3.83646e13i	−0.285722	−	1.62041i
$474$		−	1.30471e13i		−	0.545283i
$475$	−3.95001e12	−	2.79027e12i	−0.163354	−	0.115393i
$476$	−1.03566e13			−0.423822
$477$	2.21762e13	−	3.91026e12i	0.898038	−	0.158348i
$478$	−2.56160e13	−	3.05280e13i	−1.02653	−	1.22337i
$479$	−1.46194e13	+	5.32102e12i	−0.579764	+	0.211017i	−0.615222	−	0.788354i	$-0.710933\pi$
$479$	−1.46194e13	+	5.32102e12i	−0.579764	+	0.211017i	0.0354572	+	0.999371i	$0.488711\pi$
$480$	−5.56656e12	−	2.02606e12i	−0.218464	−	0.0795145i
$481$	−2.43850e12	−	2.04614e12i	−0.0947102	−	0.0794713i
$482$	6.70406e12	−	1.16118e13i	0.257693	−	0.446338i
$483$	5.85983e12	−	3.38317e12i	0.222920	−	0.128703i
$484$	−1.90374e13	+	1.07966e14i	−0.716771	+	4.06501i
$485$	−4.82696e12	−	8.51122e11i	−0.179872	−	0.0317164i
$486$	1.92444e13	+	3.33323e13i	0.709779	+	1.22937i
$487$	−1.74554e13	−	1.00779e13i	−0.637213	−	0.367895i	0.146327	−	0.989236i	$-0.453255\pi$
$487$	−1.74554e13	−	1.00779e13i	−0.637213	−	0.367895i	−0.783540	+	0.621341i	$0.786588\pi$
$488$	2.75387e13	−	3.28193e13i	0.995048	−	1.18585i
$489$	−9.75575e12	+	2.68037e13i	−0.348912	+	0.958629i
$490$	−1.05615e12	−	2.90176e12i	−0.0373892	−	0.102726i
$491$	2.06927e13	−	1.73633e13i	0.725121	−	0.608449i	−0.203676	−	0.979038i	$-0.565289\pi$
$491$	2.06927e13	−	1.73633e13i	0.725121	−	0.608449i	0.928797	+	0.370590i	$0.120844\pi$
$492$	5.04603e12	+	2.86175e13i	0.175035	+	0.992672i
$493$			1.51543e13i			0.520356i
$494$	3.81374e12	−	8.09094e12i	0.129633	−	0.275020i
$495$	−1.16338e13			−0.391467
$496$	1.79399e13	−	3.16328e12i	0.597600	−	0.105373i
$497$	−1.05199e13	−	1.25372e13i	−0.346922	−	0.413445i
$498$	3.31733e13	−	1.20741e13i	1.08303	−	0.394192i
$499$	1.92625e13	+	7.01097e12i	0.622600	+	0.226608i	0.634007	−	0.773327i	$-0.281409\pi$
$499$	1.92625e13	+	7.01097e12i	0.622600	+	0.226608i	−0.0114072	+	0.999935i	$0.503631\pi$
$500$	−3.75254e12	−	3.14875e12i	−0.120081	−	0.100760i
$501$	5.09273e12	−	8.82087e12i	0.161347	−	0.279462i
$502$	−4.59946e13	+	2.65550e13i	−1.44274	+	0.832966i
$503$	−1.70961e12	+	9.69566e12i	−0.0530953	+	0.301119i	−0.999778	−	0.0210476i	$-0.993300\pi$
$503$	−1.70961e12	+	9.69566e12i	−0.0530953	+	0.301119i	0.946683	+	0.322166i	$0.104411\pi$
$504$	1.76453e13	+	3.11134e12i	0.542595	+	0.0956741i
$505$	2.99329e12	+	5.18453e12i	0.0911364	+	0.157853i
$506$	3.36789e13	+	1.94445e13i	1.01533	+	0.586199i
$507$	1.50369e13	−	1.79202e13i	0.448867	−	0.534938i
$508$	6.10443e12	−	1.67718e13i	0.180437	−	0.495747i
$509$	−8.42843e12	−	2.31569e13i	−0.246694	−	0.677785i	−0.999802	−	0.0198889i	$-0.993669\pi$
$509$	−8.42843e12	−	2.31569e13i	−0.246694	−	0.677785i	0.753109	−	0.657896i	$-0.228553\pi$
$510$	−3.71102e12	+	3.11392e12i	−0.107558	+	0.0902519i
$511$	7.32925e12	+	4.15662e13i	0.210356	+	1.19299i
$512$			2.20843e13i			0.627673i
$513$	3.11695e13	−	2.16333e13i	0.877289	−	0.608886i
$514$	−2.54023e13			−0.708040
$515$	−1.65540e13	+	2.91892e12i	−0.456948	+	0.0805722i
$516$	2.67479e13	+	3.18768e13i	0.731207	+	0.871419i
$517$	6.02403e13	−	2.19257e13i	1.63093	−	0.593608i
$518$	−3.62220e13	−	1.31837e13i	−0.971235	−	0.353500i
$519$	−3.15048e13	−	2.64356e13i	−0.836641	−	0.702026i
$520$	1.94528e12	−	3.36932e12i	0.0511640	−	0.0886187i
$521$	−8.20300e12	+	4.73600e12i	−0.213690	+	0.123374i	−0.603025	−	0.797722i	$-0.706038\pi$
$521$	−8.20300e12	+	4.73600e12i	−0.213690	+	0.123374i	0.389335	+	0.921096i	$0.372705\pi$
$522$	1.06021e13	−	6.01275e13i	0.273552	−	1.55139i
$523$	−3.67342e13	−	6.47724e12i	−0.938777	−	0.165532i	−0.316734	−	0.948514i	$-0.602586\pi$
$523$	−3.67342e13	−	6.47724e12i	−0.938777	−	0.165532i	−0.622043	+	0.782983i	$0.713697\pi$
$524$	2.05603e13	+	3.56115e13i	0.520443	+	0.901434i
$525$	4.60926e12	+	2.66116e12i	0.115567	+	0.0667228i
$526$	1.17607e11	−	1.40159e11i	0.00292082	−	0.00348090i
$527$	−6.92755e12	+	1.90333e13i	−0.170422	+	0.468232i
$528$	−5.92477e12	−	1.62782e13i	−0.144378	−	0.396676i
$529$	−2.70115e13	+	2.26654e13i	−0.652035	+	0.547122i
$530$	−1.02816e13	−	5.83096e13i	−0.245855	−	1.39432i
$531$			4.65870e12i			0.110355i
$532$	6.29506e12	−	6.86761e13i	0.147721	−	1.61156i
$533$	6.27468e12			0.145866
$534$	8.27534e13	−	1.45917e13i	1.90581	−	0.336046i
$535$	1.74952e13	+	2.08500e13i	0.399163	+	0.475704i
$536$	−8.16801e13	+	2.97291e13i	−1.84626	+	0.671983i
$537$	−8.09837e12	−	2.94756e12i	−0.181354	−	0.0660073i
$538$	4.59302e13	+	3.85400e13i	1.01903	+	0.855068i
$539$	−6.13883e12	+	1.06328e13i	−0.134940	+	0.233724i
$540$	3.32824e13	−	1.92156e13i	0.724846	−	0.418490i
$541$	−1.35574e13	+	7.68881e13i	−0.292544	+	1.65910i	0.384475	+	0.923135i	$0.374382\pi$
$541$	−1.35574e13	+	7.68881e13i	−0.292544	+	1.65910i	−0.677019	+	0.735965i	$0.736729\pi$
$542$	5.83629e13	+	1.02910e13i	1.24779	+	0.220019i
$543$	1.53185e13	+	2.65323e13i	0.324501	+	0.562052i
$544$	−7.77389e12	−	4.48826e12i	−0.163171	−	0.0942070i
$545$	1.81419e13	−	2.16207e13i	0.377312	−	0.449663i
$546$	−3.36683e12	+	9.25029e12i	−0.0693838	+	0.190630i
$547$	−1.63288e13	−	4.48630e13i	−0.333440	−	0.916120i	−0.987210	−	0.159426i	$-0.949036\pi$
$547$	−1.63288e13	−	4.48630e13i	−0.333440	−	0.916120i	0.653770	−	0.756694i	$-0.273187\pi$
$548$	−7.18175e13	+	6.02620e13i	−1.45321	+	1.21938i
$549$	−5.13109e12	−	2.90999e13i	−0.102884	−	0.583484i
$550$			3.05896e13i			0.607800i
$551$	−1.00490e14	−	9.21122e12i	−1.97863	−	0.181367i
$552$	−1.78378e13			−0.348054
$553$	−2.13911e13	+	3.77183e12i	−0.413626	+	0.0729334i
$554$	5.02248e13	+	5.98556e13i	0.962430	+	1.14698i
$555$	−1.07878e13	+	3.92642e12i	−0.204864	+	0.0745645i
$556$	−1.24580e14	−	4.53433e13i	−2.34462	−	0.853374i
$557$	−4.67728e13	−	3.92470e13i	−0.872404	−	0.732034i	0.0921992	−	0.995741i	$-0.470610\pi$
$557$	−4.67728e13	−	3.92470e13i	−0.872404	−	0.732034i	−0.964603	+	0.263707i	$0.915055\pi$
$558$	4.08023e13	−	7.06716e13i	0.754247	−	1.30639i
$559$	7.78151e12	−	4.49266e12i	0.142562	−	0.0823084i
$560$	1.25956e12	−	7.14330e12i	0.0228706	−	0.129706i
$561$	1.89684e13	+	3.34465e12i	0.341364	+	0.0601916i
$562$	2.44829e11	+	4.24056e11i	0.00436698	+	0.00756383i
$563$	−7.51993e13	−	4.34163e13i	−1.32945	−	0.767558i	−0.344235	−	0.938883i	$-0.611862\pi$
$563$	−7.51993e13	−	4.34163e13i	−1.32945	−	0.767558i	−0.985215	+	0.171325i	$0.945195\pi$
$564$	−4.40161e13	+	5.24563e13i	−0.771286	+	0.919183i
$565$	1.42235e13	−	3.90788e13i	0.247038	−	0.678733i
$566$	8.73633e12	+	2.40029e13i	0.150400	+	0.413220i
$567$	−1.21770e13	+	1.02177e13i	−0.207790	+	0.174356i
$568$	7.49211e12	+	4.24899e13i	0.126725	+	0.718693i
$569$			4.24225e13i			0.711271i	0.934625	+	0.355636i	$0.115736\pi$
$569$			4.24225e13i			0.711271i	−0.934625	+	0.355636i	$0.884264\pi$
$570$	−1.83931e13	−	2.65010e13i	−0.305690	−	0.440441i
$571$	−4.99469e13			−0.822864			−0.411432	−	0.911441i	$-0.634971\pi$
$571$	−4.99469e13			−0.822864			−0.411432	+	0.911441i	$0.634971\pi$
$572$	−3.54757e13	+	6.25533e12i	−0.579364	+	0.102157i
$573$	−1.58560e13	−	1.88965e13i	−0.256698	−	0.305920i
$574$	7.13997e13	−	2.59874e13i	1.14587	−	0.417064i
$575$	4.55721e12	+	1.65869e12i	0.0725037	+	0.0263892i
$576$	3.51070e13	+	2.94583e13i	0.553709	+	0.464617i
$577$	1.83527e13	−	3.17878e13i	0.286960	−	0.497029i	−0.686123	−	0.727486i	$-0.740689\pi$
$577$	1.83527e13	−	3.17878e13i	0.286960	−	0.497029i	0.973082	+	0.230457i	$0.0740221\pi$
$578$	8.63340e13	−	4.98449e13i	1.33827	−	0.772648i
$579$	1.29390e11	−	7.33810e11i	0.00198843	−	0.0112769i
$580$	−1.00662e14	−	1.77494e13i	−1.53364	−	0.270422i
$581$	−2.93861e13	−	5.08981e13i	−0.443875	−	0.768814i
$582$	−2.83138e13	−	1.63470e13i	−0.424017	−	0.244806i
$583$	−1.51320e14	+	1.80336e14i	−2.24675	+	2.67757i
$584$	3.80565e13	−	1.04559e14i	0.560228	−	1.53921i
$585$	−9.17755e11	−	2.52151e12i	−0.0133951	−	0.0368029i
$586$	6.45919e13	−	5.41991e13i	0.934739	−	0.784339i
$587$	−1.83648e13	−	1.04152e14i	−0.263509	−	1.49443i	−0.773248	−	0.634104i	$-0.781369\pi$
$587$	−1.83648e13	−	1.04152e14i	−0.263509	−	1.49443i	0.509739	−	0.860329i	$-0.329742\pi$
$588$		−	1.31147e13i		−	0.186583i
$589$	−1.22001e14	−	5.75065e13i	−1.72103	−	0.811223i
$590$	1.22495e13			0.171340
$591$	3.86822e13	−	6.82072e12i	0.536505	−	0.0946003i
$592$	1.00568e13	+	1.19852e13i	0.138309	+	0.164831i
$593$	9.97023e13	−	3.62887e13i	1.35966	−	0.494877i	0.443714	−	0.896169i	$-0.353661\pi$
$593$	9.97023e13	−	3.62887e13i	1.35966	−	0.494877i	0.915950	+	0.401291i	$0.131439\pi$
$594$	−2.25514e14	−	8.20803e13i	−3.04959	−	1.10996i
$595$	6.17819e12	+	5.18412e12i	0.0828470	+	0.0695169i
$596$	8.67277e13	−	1.50217e14i	1.15326	−	1.99750i
$597$	−4.83567e13	+	2.79187e13i	−0.637653	+	0.368149i
$598$	−1.55759e12	+	8.83352e12i	−0.0203679	+	0.115512i
$599$	−7.86453e13	−	1.38673e13i	−1.01986	−	0.179828i	−0.361371	−	0.932422i	$-0.617691\pi$
$599$	−7.86453e13	−	1.38673e13i	−1.01986	−	0.179828i	−0.658485	+	0.752594i	$0.728802\pi$
$600$	−7.01550e12	−	1.21512e13i	−0.0902200	−	0.156266i
$601$	−8.51585e12	−	4.91663e12i	−0.108606	−	0.0627040i	0.444713	−	0.895673i	$-0.353306\pi$
$601$	−8.51585e12	−	4.91663e12i	−0.108606	−	0.0627040i	−0.553319	+	0.832969i	$0.686639\pi$
$602$	6.99391e13	−	8.33501e13i	0.884580	−	1.05420i
$603$	−2.05043e13	+	5.63352e13i	−0.257193	+	0.706632i
$604$	−6.43168e13	−	1.76709e14i	−0.800092	−	2.19823i
$605$	6.54003e13	−	5.48774e13i	0.806869	−	0.677044i
$606$	6.93418e12	+	3.93257e13i	0.0848461	+	0.481186i
$607$		−	7.53148e13i		−	0.913980i	−0.889472	−	0.456990i	$-0.848927\pi$
$607$		−	7.53148e13i		−	0.913980i	0.889472	−	0.456990i	$-0.151073\pi$
$608$	3.44874e13	−	4.88216e13i	0.415091	−	0.587617i
$609$	1.11056e14			1.32573
$610$	−7.65146e13	+	1.34916e13i	−0.905931	+	0.159740i
$611$	9.50436e12	+	1.13269e13i	0.111614	+	0.133016i
$612$	1.76952e13	−	6.44053e12i	0.206110	−	0.0750179i
$613$	9.82459e13	+	3.57586e13i	1.13504	+	0.413122i	0.840121	−	0.542400i	$-0.182484\pi$
$613$	9.82459e13	+	3.57586e13i	1.13504	+	0.413122i	0.294922	+	0.955521i	$0.404706\pi$
$614$	3.99450e13	+	3.35178e13i	0.457741	+	0.384091i
$615$	1.13146e13	−	1.95974e13i	0.128607	−	0.222753i
$616$	−1.62219e14	+	9.36572e13i	−1.82893	+	1.05594i
$617$	−2.68294e13	+	1.52157e14i	−0.300044	+	1.70163i	0.345919	+	0.938264i	$0.387567\pi$
$617$	−2.68294e13	+	1.52157e14i	−0.300044	+	1.70163i	−0.645963	+	0.763369i	$0.723544\pi$
$618$	−1.10420e14	−	1.94701e13i	−1.22492	−	0.215986i
$619$	−5.94295e12	−	1.02935e13i	−0.0653956	−	0.113269i	0.831474	−	0.555564i	$-0.187498\pi$
$619$	−5.94295e12	−	1.02935e13i	−0.0653956	−	0.113269i	−0.896869	+	0.442295i	$0.854164\pi$
$620$	−1.18314e14	−	6.83086e13i	−1.29145	−	0.745619i
$621$	−2.44565e13	+	2.91461e13i	−0.264811	+	0.315590i
$622$	−5.01049e13	+	1.37662e14i	−0.538181	+	1.47864i
$623$	−4.78470e13	−	1.31458e14i	−0.509817	−	1.40071i
$624$	3.06075e12	−	2.56828e12i	0.0323523	−	0.0271468i
$625$	6.62415e11	+	3.75674e12i	0.00694593	+	0.0393923i
$626$			1.30884e14i			1.36149i
$627$	−3.37084e13	+	1.23749e14i	−0.347856	+	1.27704i
$628$	−1.80160e14			−1.84442
$629$	−1.71318e13	+	3.02080e12i	−0.174001	+	0.0306810i
$630$	−2.08863e13	−	2.48913e13i	−0.210455	−	0.250810i
$631$	8.89790e12	−	3.23857e12i	0.0889489	−	0.0323748i	−0.297162	−	0.954827i	$-0.596040\pi$
$631$	8.89790e12	−	3.23857e12i	0.0889489	−	0.0323748i	0.386111	+	0.922452i	$0.373818\pi$
$632$	5.38091e13	+	1.95849e13i	0.533667	+	0.194239i
$633$	8.75512e11	+	7.34642e11i	0.00861477	+	0.00722865i
$634$	5.18295e13	−	8.97713e13i	0.505977	−	0.876377i
$635$	−1.20369e13	+	6.94948e12i	−0.116585	+	0.0673107i
$636$	4.36659e13	−	2.47642e14i	0.419620	−	2.37979i
$637$	−2.78883e12	−	4.91745e11i	−0.0265904	−	0.00468860i
$638$	3.19143e14	+	5.52773e14i	3.01914	+	5.22930i
$639$	2.57708e13	+	1.48788e13i	0.241893	+	0.139657i
$640$	5.52508e13	−	6.58453e13i	0.514563	−	0.613232i
$641$	3.80556e12	−	1.04557e13i	0.0351664	−	0.0966190i	−0.920867	−	0.389877i	$-0.872517\pi$
$641$	3.80556e12	−	1.04557e13i	0.0351664	−	0.0966190i	0.956033	+	0.293258i	$0.0947396\pi$
$642$	6.20940e13	+	1.70602e14i	0.569343	+	1.56426i
$643$	8.32995e12	−	6.98966e12i	0.0757857	−	0.0635918i	−0.604108	−	0.796903i	$-0.706470\pi$
$643$	8.32995e12	−	6.98966e12i	0.0757857	−	0.0635918i	0.679894	+	0.733311i	$0.262026\pi$
$644$	1.20090e13	+	6.81067e13i	0.108412	+	0.614838i
$645$		−	3.24049e13i		−	0.290277i
$646$	−2.04749e13	−	4.43875e13i	−0.181995	−	0.394546i
$647$	7.40806e13			0.653406			0.326703	−	0.945127i	$-0.394062\pi$
$647$	7.40806e13			0.653406			0.326703	+	0.945127i	$0.394062\pi$
$648$	4.12691e13	−	7.27685e12i	0.361201	−	0.0636896i
$649$	−3.13059e13	−	3.73089e13i	−0.271896	−	0.324033i
$650$	−6.63001e12	+	2.41313e12i	−0.0571410	+	0.0207976i
$651$	1.39483e14	+	5.07676e13i	1.19293	+	0.434192i
$652$	−2.23330e14	−	1.87396e14i	−1.89544	−	1.59046i
$653$	1.66319e13	−	2.88073e13i	0.140080	−	0.242626i	−0.787447	−	0.616383i	$-0.788597\pi$
$653$	1.66319e13	−	2.88073e13i	0.140080	−	0.242626i	0.927527	+	0.373757i	$0.121931\pi$
$654$	1.63039e14	−	9.41309e13i	1.36271	−	0.786762i
$655$	5.56057e12	−	3.15355e13i	0.0461225	−	0.261574i
$656$	−3.03716e13	−	5.35532e12i	−0.250005	−	0.0440825i
$657$	−3.83717e13	−	6.64617e13i	−0.313461	−	0.542931i
$658$	1.55062e14	+	8.95250e13i	1.25712	+	0.725797i
$659$	6.76886e13	−	8.06682e13i	0.544614	−	0.649046i	−0.421602	−	0.906781i	$-0.638532\pi$
$659$	6.76886e13	−	8.06682e13i	0.544614	−	0.649046i	0.966215	+	0.257736i	$0.0829764\pi$
$660$	−4.44334e13	+	1.22080e14i	−0.354805	+	0.974818i
$661$	8.45891e13	+	2.32407e14i	0.670358	+	1.84179i	0.522183	+	0.852834i	$0.325118\pi$
$661$	8.45891e13	+	2.32407e14i	0.670358	+	1.84179i	0.148176	+	0.988961i	$0.452660\pi$
$662$	2.11459e14	−	1.77435e14i	1.66317	−	1.39556i
$663$	7.71445e11	+	4.37508e12i	0.00602195	+	0.0341522i
$664$			1.54939e14i			1.20038i
$665$	−3.81319e13	+	3.78174e13i	−0.293211	+	0.290792i
$666$	7.00872e13			0.534894
$667$	9.96568e13	−	1.75722e13i	0.754879	−	0.133106i
$668$	6.69164e13	+	7.97478e13i	0.503095	+	0.599565i
$669$	−3.83017e13	+	1.39407e13i	−0.285817	+	0.104029i
$670$	1.48127e14	+	5.39137e13i	1.09713	+	0.399324i
$671$	2.36640e14	+	1.98564e14i	1.73970	+	1.45978i
$672$	−3.28916e13	+	5.69699e13i	−0.240015	+	0.415718i
$673$	−1.06560e14	+	6.15223e13i	−0.771824	+	0.445613i	−0.833525	−	0.552482i	$-0.813681\pi$
$673$	−1.06560e14	+	6.15223e13i	−0.771824	+	0.445613i	0.0617010	+	0.998095i	$0.480347\pi$
$674$	4.87788e13	−	2.76639e14i	0.350697	−	1.98890i
$675$	−2.94730e13	−	5.19689e12i	−0.210332	−	0.0370873i
$676$	1.19548e14	+	2.07064e14i	0.846857	+	1.46680i
$677$	4.49914e12	+	2.59758e12i	0.0316363	+	0.0182652i	0.515735	−	0.856748i	$-0.327519\pi$
$677$	4.49914e12	+	2.59758e12i	0.0316363	+	0.0182652i	−0.484098	+	0.875014i	$0.660852\pi$
$678$	1.78307e14	−	2.12498e14i	1.24457	−	1.48322i
$679$	−1.86160e13	+	5.11472e13i	−0.128985	+	0.354383i
$680$	−7.27189e12	−	1.99794e13i	−0.0500153	−	0.137416i
$681$	−7.76311e13	+	6.51402e13i	−0.530030	+	0.444748i
$682$	1.48142e14	+	8.40156e14i	1.00405	+	5.69427i
$683$			1.53327e13i			0.103161i	0.998669	+	0.0515806i	$0.0164259\pi$
$683$			1.53327e13i			0.103161i	−0.998669	+	0.0515806i	$0.983574\pi$
$684$	3.19523e13	+	1.21254e14i	0.213414	+	0.809871i
$685$	7.30071e13			0.484075
$686$	−2.62979e14	+	4.63703e13i	−1.73101	+	0.305224i
$687$	−4.87684e13	−	5.81199e13i	−0.318680	−	0.379788i
$688$	−4.14995e13	+	1.51046e13i	−0.269216	+	0.0979866i
$689$	−5.10234e13	−	1.85710e13i	−0.328605	−	0.119602i
$690$	2.47807e13	+	2.07935e13i	0.158441	+	0.132948i
$691$	9.84344e13	−	1.70493e14i	0.624823	−	1.08222i	−0.363752	−	0.931496i	$-0.618505\pi$
$691$	9.84344e13	−	1.70493e14i	0.624823	−	1.08222i	0.988575	−	0.150729i	$-0.0481621\pi$
$692$	3.64030e14	−	2.10173e14i	2.29407	−	1.32448i
$693$	−2.24339e13	+	1.27229e14i	−0.140359	+	0.796013i
$694$	2.21608e14	+	3.90755e13i	1.37654	+	0.242721i
$695$	5.16203e13	+	8.94090e13i	0.318344	+	0.551388i
$696$	−2.53549e14	−	1.46386e14i	−1.55244	−	0.896302i
$697$	2.20416e13	−	2.62682e13i	0.133992	−	0.159686i
$698$	2.79815e13	−	7.68787e13i	0.168886	−	0.464012i
$699$	−6.40327e13	−	1.75928e14i	−0.383722	−	1.05427i
$700$	−4.16715e13	+	3.49665e13i	−0.247941	+	0.208047i
$701$	2.15572e13	+	1.22257e14i	0.127351	+	0.722242i	0.979884	+	0.199569i	$0.0639541\pi$
$701$	2.15572e13	+	1.22257e14i	0.127351	+	0.722242i	−0.852533	+	0.522673i	$0.824935\pi$
$702$		−	5.53531e13i		−	0.324681i
$703$	−9.61812e12	−	1.15440e14i	−0.0560162	−	0.672323i
$704$	−4.79109e14			−2.77058
$705$	5.25151e13	−	9.25983e12i	0.301536	−	0.0531689i
$706$	−1.53422e14	−	1.82841e14i	−0.874708	−	1.04244i
$707$	6.24711e13	−	2.27376e13i	0.353657	−	0.128720i
$708$	4.88863e13	+	1.77932e13i	0.274803	+	0.100020i
$709$	−6.24363e13	−	5.23903e13i	−0.348503	−	0.292429i	0.451686	−	0.892177i	$-0.350823\pi$
$709$	−6.24363e13	−	5.23903e13i	−0.348503	−	0.292429i	−0.800189	+	0.599749i	$0.795267\pi$
$710$	3.91220e13	−	6.77613e13i	0.216835	−	0.375569i
$711$	3.42030e13	−	1.97471e13i	0.188242	−	0.108681i
$712$	−6.40414e13	+	3.63197e14i	−0.349994	+	1.98492i
$713$	1.33199e14	+	2.34865e13i	0.722856	+	0.127459i
$714$	2.68982e13	+	4.65891e13i	0.144955	+	0.251069i
$715$	2.42940e13	+	1.40262e13i	0.130008	+	0.0750601i
$716$	5.66191e13	−	6.74760e13i	0.300883	−	0.358579i
$717$	−4.50784e13	+	1.23852e14i	−0.237888	+	0.653592i
$718$	−1.27126e13	−	3.49276e13i	−0.0666211	−	0.183040i
$719$	−6.26997e13	+	5.26113e13i	−0.326303	+	0.273801i	−0.791191	−	0.611569i	$-0.790539\pi$
$719$	−6.26997e13	+	5.26113e13i	−0.326303	+	0.273801i	0.464889	+	0.885369i	$0.346094\pi$
$720$	2.29018e12	+	1.29883e13i	0.0118361	+	0.0671256i
$721$			1.86666e14i			0.958052i
$722$	3.06785e14	−	1.08792e14i	1.56368	−	0.554510i
$723$	−4.43446e13			−0.224465
$724$	−3.08376e14	+	5.43750e13i	−1.55020	+	0.273342i
$725$	5.11646e13	+	6.09756e13i	0.255434	+	0.304415i
$726$	5.35128e14	−	1.94771e14i	2.65323	−	0.965697i
$727$	−4.70029e13	−	1.71077e13i	−0.231448	−	0.0842400i	0.223693	−	0.974660i	$-0.428189\pi$
$727$	−4.70029e13	−	1.71077e13i	−0.231448	−	0.0842400i	−0.455140	+	0.890420i	$0.650411\pi$
$728$	−3.30963e13	−	2.77711e13i	−0.161854	−	0.135811i
$729$	9.38873e13	−	1.62618e14i	0.456005	−	0.789823i
$730$	−1.74753e14	+	1.00894e14i	−0.842967	+	0.486687i
$731$	8.52683e12	−	4.83581e13i	0.0408508	−	0.231677i
$732$	−3.24958e14	−	5.72989e13i	−1.54622	−	0.272641i
$733$	−2.02827e13	−	3.51306e13i	−0.0958529	−	0.166022i	0.814111	−	0.580709i	$-0.197224\pi$
$733$	−2.02827e13	−	3.51306e13i	−0.0958529	−	0.166022i	−0.909964	+	0.414687i	$0.863891\pi$
$734$	3.77148e13	+	2.17746e13i	0.177024	+	0.102205i
$735$	−6.56470e12	+	7.82351e12i	−0.0306040	+	0.0364724i
$736$	−2.05012e13	+	5.63266e13i	−0.0949272	+	0.260810i
$737$	−2.14358e14	−	5.88944e14i	−0.985831	−	2.70855i
$738$	−1.05832e14	+	8.88034e13i	−0.483431	+	0.405647i
$739$	1.11362e13	+	6.31563e13i	0.0505258	+	0.286546i	0.999593	−	0.0285275i	$-0.00908183\pi$
$739$	1.11362e13	+	6.31563e13i	0.0505258	+	0.286546i	−0.949067	+	0.315074i	$0.897971\pi$
$740$		−	1.17336e14i		−	0.528775i
$741$	−2.94806e13	+	2.45625e12i	−0.131961	+	0.0109946i
$742$	−6.57511e14			−2.92337
$743$	−1.90732e14	+	3.36313e13i	−0.842327	+	0.148525i	−0.578131	−	0.815944i	$-0.696218\pi$
$743$	−1.90732e14	+	3.36313e13i	−0.842327	+	0.148525i	−0.264196	+	0.964469i	$0.585107\pi$
$744$	−2.51531e14	−	2.99762e14i	−1.10338	−	1.31496i
$745$	−1.26930e14	+	4.61986e13i	−0.553072	+	0.201302i
$746$	1.22792e14	+	4.46927e13i	0.531467	+	0.193438i
$747$	8.18610e13	+	6.86895e13i	0.351944	+	0.295316i
$748$	−9.84315e13	+	1.70488e14i	−0.420365	+	0.728093i
$749$	2.61756e14	−	1.51125e14i	1.11042	−	0.641101i
$750$	−4.41851e12	+	2.50586e13i	−0.0186196	+	0.105597i
$751$	1.21561e14	+	2.14344e13i	0.508854	+	0.0897246i	0.422180	−	0.906512i	$-0.361265\pi$
$751$	1.21561e14	+	2.14344e13i	0.508854	+	0.0897246i	0.0866739	+	0.996237i	$0.472376\pi$
$752$	−3.63370e13	−	6.29376e13i	−0.151099	−	0.261710i
$753$	1.52117e14	+	8.78250e13i	0.628354	+	0.362780i
$754$	−9.46320e13	+	1.12778e14i	−0.388312	+	0.462773i
$755$	−5.00857e13	+	1.37609e14i	−0.204164	+	0.560936i
$756$	−1.45965e14	−	4.01036e14i	−0.591072	−	1.62396i
$757$	−6.88302e13	+	5.77554e13i	−0.276885	+	0.232334i	−0.770646	−	0.637264i	$-0.780066\pi$
$757$	−6.88302e13	+	5.77554e13i	−0.276885	+	0.232334i	0.493761	+	0.869598i	$0.335622\pi$
$758$	3.81117e12	+	2.16142e13i	0.0152304	+	0.0863761i
$759$		−	1.28618e14i		−	0.510612i
$760$	1.36906e14	−	3.60768e13i	0.539950	−	0.142285i
$761$	−3.48024e14			−1.36360			−0.681798	−	0.731541i	$-0.738802\pi$
$761$	−3.48024e14			−1.36360			−0.681798	+	0.731541i	$0.738802\pi$
$762$	−9.13019e13	+	1.60990e13i	−0.355390	+	0.0626648i
$763$	−2.01464e14	−	2.40095e14i	−0.779067	−	0.928456i
$764$	2.36918e14	−	8.62310e13i	0.910187	−	0.331281i
$765$	−1.37799e13	−	5.01546e12i	−0.0525942	−	0.0191427i
$766$	2.21189e14	+	1.85599e14i	0.838724	+	0.703773i
$767$	5.61673e12	−	9.72846e12i	0.0211596	−	0.0366494i
$768$	2.43642e14	−	1.40667e14i	0.911899	−	0.526485i
$769$	2.16785e13	−	1.22945e14i	0.0806115	−	0.457170i	−0.917606	−	0.397491i	$-0.869881\pi$
$769$	2.16785e13	−	1.22945e14i	0.0806115	−	0.457170i	0.998218	−	0.0596794i	$-0.0190078\pi$
$770$	3.34534e14	+	5.89873e13i	1.23591	+	0.217924i
$771$	4.20064e13	+	7.27572e13i	0.154186	+	0.267057i
$772$	6.59549e12	+	3.80791e12i	0.0240525	+	0.0138867i
$773$	3.01702e14	−	3.59555e14i	1.09315	−	1.30277i	0.143437	−	0.989659i	$-0.454184\pi$
$773$	3.01702e14	−	3.59555e14i	1.09315	−	1.30277i	0.949717	−	0.313111i	$-0.101371\pi$
$774$	−6.76637e13	+	1.85904e14i	−0.243585	+	0.669245i
$775$	3.63870e13	+	9.99724e13i	0.130148	+	0.357579i
$776$	1.09920e14	−	9.22341e13i	0.390633	−	0.327780i
$777$	2.21376e13	+	1.25548e14i	0.0781672	+	0.443308i
$778$		−	1.27478e14i		−	0.447236i
$779$	1.60790e14	+	1.62127e14i	0.560495	+	0.565157i
$780$	−2.99648e13			−0.103786
$781$	−3.06368e14	+	5.40209e13i	−1.05436	+	0.185912i
$782$	3.15089e13	+	3.75509e13i	0.107746	+	0.128406i
$783$	−5.86814e14	+	2.13583e14i	−1.99385	+	0.725701i
$784$	1.30792e13	+	4.76043e12i	0.0441570	+	0.0160718i
$785$	1.07473e14	+	9.01809e13i	0.360540	+	0.302529i
$786$	1.06798e14	−	1.84980e14i	0.356002	−	0.616613i
$787$	−2.15996e14	+	1.24705e14i	−0.715438	+	0.413059i	−0.813071	−	0.582164i	$-0.802206\pi$
$787$	−2.15996e14	+	1.24705e14i	−0.715438	+	0.413059i	0.0976330	+	0.995222i	$0.468873\pi$
$788$	−6.97131e13	+	3.95362e14i	−0.229447	+	1.30126i
$789$	−5.95924e11	−	1.05077e11i	−0.00194897	−	0.000343656i
$790$	−5.19227e13	−	8.99327e13i	−0.168741	−	0.292269i
$791$	−3.99945e14	−	2.30908e14i	−1.29157	−	0.745687i
$792$	2.18922e14	−	2.60902e14i	0.702529	−	0.837242i
$793$	−2.43691e13	+	6.69536e13i	−0.0777094	+	0.213505i
$794$	−1.37012e14	−	3.76437e14i	−0.434166	−	1.19286i
$795$	−1.50008e14	+	1.25872e14i	−0.472367	+	0.396363i
$796$	−9.91015e13	−	5.62032e14i	−0.310109	−	1.75872i
$797$		−	1.95730e14i		−	0.608646i	−0.952569	−	0.304323i	$-0.901570\pi$
$797$		−	1.95730e14i		−	0.608646i	0.952569	−	0.304323i	$-0.0984302\pi$
$798$	−3.25288e14	+	1.50047e14i	−1.00520	+	0.463675i
$799$	8.08053e13			0.248145
$800$	−4.64329e13	+	8.18737e12i	−0.141702	+	0.0249859i
$801$	1.63502e14	+	1.94854e14i	0.495860	+	0.590943i
$802$	9.42912e14	−	3.43192e14i	2.84184	−	1.03434i
$803$	7.53912e14	+	2.74402e14i	2.25810	+	0.821881i
$804$	5.12843e14	+	4.30327e14i	1.52653	+	1.28091i
$805$	2.69276e13	−	4.66400e13i	0.0796559	−	0.137968i
$806$	−1.70409e14	+	9.83859e13i	−0.500978	+	0.289240i
$807$	3.44340e13	−	1.95285e14i	0.100605	−	0.570559i
$808$	−1.72597e14	−	3.04335e13i	−0.501159	−	0.0883679i
$809$	9.86609e12	+	1.70886e13i	0.0284710	+	0.0493132i	0.879910	−	0.475141i	$-0.157603\pi$
$809$	9.86609e12	+	1.70886e13i	0.0284710	+	0.0493132i	−0.851439	+	0.524454i	$0.824270\pi$
$810$	−6.58144e13	−	3.79980e13i	−0.188754	−	0.108977i
$811$	1.14993e14	−	1.37044e14i	0.327770	−	0.390621i	−0.576843	−	0.816855i	$-0.695716\pi$
$811$	1.14993e14	−	1.37044e14i	0.327770	−	0.390621i	0.904613	+	0.426234i	$0.140160\pi$
$812$	−3.88220e14	+	1.06663e15i	−1.09976	+	3.02157i
$813$	−6.70362e13	−	1.84181e14i	−0.188737	−	0.518551i
$814$	−5.61290e14	+	4.70978e14i	−1.57060	+	1.31789i
$815$	3.94233e13	+	2.23580e14i	0.109639	+	0.621793i
$816$		−	2.18353e13i		−	0.0603543i
$817$	3.15486e14	+	8.59360e13i	0.866702	+	0.236083i
$818$	6.13302e14			1.67459
$819$	−2.93454e13	+	5.17439e12i	−0.0796381	+	0.0140424i
$820$	1.48669e14	+	1.77177e14i	0.401006	+	0.477901i
$821$	5.96973e13	−	2.17281e13i	0.160044	−	0.0582512i	−0.260756	−	0.965405i	$-0.583972\pi$
$821$	5.96973e13	−	2.17281e13i	0.160044	−	0.0582512i	0.420800	+	0.907154i	$0.361750\pi$
$822$	4.57612e14	+	1.66557e14i	1.21938	+	0.443817i
$823$	−8.46859e13	−	7.10599e13i	−0.224291	−	0.188203i	0.523717	−	0.851892i	$-0.324545\pi$
$823$	−8.46859e13	−	7.10599e13i	−0.224291	−	0.188203i	−0.748008	+	0.663690i	$0.768989\pi$
$824$	2.46050e14	−	4.26171e14i	0.647720	−	1.12188i
$825$	8.76148e13	−	5.05844e13i	0.229249	−	0.132357i
$826$	2.36212e13	−	1.33963e14i	0.0614331	−	0.348404i
$827$	−6.45342e14	−	1.13791e14i	−1.66825	−	0.294158i	−0.741815	−	0.670604i	$-0.766035\pi$
$827$	−6.45342e14	−	1.13791e14i	−1.66825	−	0.294158i	−0.926438	+	0.376446i	$0.877146\pi$
$828$	−6.28724e13	−	1.08898e14i	−0.161551	−	0.279814i
$829$	−2.48339e14	−	1.43378e14i	−0.634266	−	0.366194i	0.148136	−	0.988967i	$-0.452673\pi$
$829$	−2.48339e14	−	1.43378e14i	−0.634266	−	0.366194i	−0.782402	+	0.622773i	$0.786006\pi$
$830$	1.80611e14	−	2.15244e14i	0.458515	−	0.546437i
$831$	8.83842e13	−	2.42834e14i	0.223033	−	0.612779i
$832$	−3.77955e13	−	1.03842e14i	−0.0948034	−	0.260470i
$833$	−1.18552e13	+	9.94768e12i	−0.0295586	+	0.0248026i
$834$	1.19582e14	+	6.78185e14i	0.296372	+	1.68081i
$835$		−	8.10689e13i		−	0.199720i
$836$	−1.07070e15	−	7.56340e14i	−2.62203	−	1.85219i
$837$	−8.34656e14			−2.03180
$838$	6.88883e13	−	1.21469e13i	0.166696	−	0.0293930i
$839$	1.70821e14	+	2.03577e14i	0.410896	+	0.489687i	0.931310	−	0.364227i	$-0.118667\pi$
$839$	1.70821e14	+	2.03577e14i	0.410896	+	0.489687i	−0.520414	+	0.853914i	$0.674222\pi$
$840$	−1.46416e14	+	5.32911e13i	−0.350100	+	0.127426i
$841$	1.16540e15	+	4.24171e14i	2.77010	+	1.00823i
$842$	−8.25714e14	−	6.92856e14i	−1.95105	−	1.63713i
$843$	8.09721e11	−	1.40248e12i	0.00190194	−	0.00329426i
$844$	−1.01163e13	+	5.84066e12i	−0.0236217	+	0.0136380i
$845$	3.23320e13	−	1.83364e14i	0.0750498	−	0.425629i
$846$	−3.20611e14	−	5.65323e13i	−0.739820	−	0.130450i
$847$	−4.74035e14	−	8.21052e14i	−1.08741	−	1.88345i
$848$	2.31121e14	+	1.33438e14i	0.527059	+	0.304298i
$849$	5.43022e13	−	6.47148e13i	0.123106	−	0.146712i
$850$	−1.31876e13	+	3.62325e13i	−0.0297214	+	0.0816590i
$851$	3.97305e13	+	1.09159e14i	0.0890177	+	0.244574i
$852$	2.54559e14	−	2.13600e14i	0.567009	−	0.475777i
$853$	1.10056e14	+	6.24161e14i	0.243708	+	1.38214i	0.823473	+	0.567355i	$0.192033\pi$
$853$	1.10056e14	+	6.24161e14i	0.243708	+	1.38214i	−0.579765	+	0.814784i	$0.696856\pi$
$854$			8.62794e14i			1.89941i
$855$	4.16340e13	−	8.83276e13i	0.0911208	−	0.193315i
$856$	−7.96808e14			−1.73374
$857$	−1.76068e14	+	3.10455e13i	−0.380870	+	0.0671576i	−0.360805	−	0.932641i	$-0.617498\pi$
$857$	−1.76068e14	+	3.10455e13i	−0.380870	+	0.0671576i	−0.0200642	+	0.999799i	$0.506387\pi$
$858$	1.20277e14	+	1.43341e14i	0.258670	+	0.308271i
$859$	5.00825e13	−	1.82285e13i	0.107083	−	0.0389750i	−0.287923	−	0.957654i	$-0.592965\pi$
$859$	5.00825e13	−	1.82285e13i	0.107083	−	0.0389750i	0.395006	+	0.918679i	$0.370743\pi$
$860$	3.11229e14	+	1.13278e14i	0.661589	+	0.240799i
$861$	−1.92503e14	−	1.61529e14i	−0.406838	−	0.341377i
$862$	2.97041e14	−	5.14489e14i	0.624136	−	1.08104i
$863$	4.95600e14	−	2.86135e14i	1.03533	−	0.597746i	0.116821	−	0.993153i	$-0.462730\pi$
$863$	4.95600e14	−	2.86135e14i	1.03533	−	0.597746i	0.918506	+	0.395407i	$0.129396\pi$
$864$	6.42329e13	−	3.64283e14i	0.133410	−	0.756607i
$865$	−3.22364e14	−	5.68415e13i	−0.665681	−	0.117378i
$866$	−6.01695e14	−	1.04217e15i	−1.23534	−	2.13967i
$867$	−2.85532e14	−	1.64852e14i	−0.582852	−	0.336510i
$868$	−9.75184e14	+	1.16218e15i	−1.97919	+	2.35871i
$869$	−1.41215e14	+	3.87984e14i	−0.284958	+	0.782915i
$870$	1.81593e14	+	4.98923e14i	0.364337	+	1.00101i
$871$	1.10738e14	−	9.29202e13i	0.220905	−	0.185361i
$872$	1.43479e14	+	8.13710e14i	0.284581	+	1.61394i
$873$		−	9.89664e13i		−	0.195172i
$874$	−2.68157e14	+	1.86115e14i	−0.525814	+	0.364943i
$875$	4.23618e13			0.0825912
$876$	−8.43974e14	+	1.48815e14i	−1.63609	+	0.288488i
$877$	−1.85170e14	−	2.20677e14i	−0.356921	−	0.425362i	0.557468	−	0.830199i	$-0.311773\pi$
$877$	−1.85170e14	−	2.20677e14i	−0.356921	−	0.425362i	−0.914389	+	0.404836i	$0.867329\pi$
$878$	1.13958e15	−	4.14772e14i	2.18409	−	0.794945i
$879$	−2.62049e14	−	9.53781e13i	−0.499388	−	0.181762i
$880$	−1.05620e14	−	8.86259e13i	−0.200140	−	0.167937i
$881$	2.91296e14	−	5.04540e14i	0.548852	−	0.950639i	−0.449502	−	0.893279i	$-0.648398\pi$
$881$	2.91296e14	−	5.04540e14i	0.548852	−	0.950639i	0.998354	−	0.0573599i	$-0.0182682\pi$
$882$	5.39972e13	−	3.11753e13i	0.101165	−	0.0584074i
$883$	3.83172e13	−	2.17307e14i	0.0713822	−	0.404828i	−0.928090	−	0.372355i	$-0.878550\pi$
$883$	3.83172e13	−	2.17307e14i	0.0713822	−	0.404828i	0.999473	−	0.0324736i	$-0.0103385\pi$
$884$	−4.47167e13	−	7.88477e12i	−0.0828340	−	0.0146059i
$885$	−2.02563e13	−	3.50850e13i	−0.0373116	−	0.0646257i
$886$	9.92346e13	+	5.72931e13i	0.181758	+	0.104938i
$887$	1.60180e14	−	1.90895e14i	0.291736	−	0.347678i	−0.600191	−	0.799857i	$-0.704909\pi$
$887$	1.60180e14	−	1.90895e14i	0.291736	−	0.347678i	0.891927	+	0.452179i	$0.149353\pi$
$888$	1.14947e14	−	3.15816e14i	0.208178	−	0.571964i
$889$	5.27896e13	+	1.45038e14i	0.0950691	+	0.261200i
$890$	5.12344e14	−	4.29908e14i	0.917512	−	0.769884i
$891$	5.24688e13	+	2.97565e14i	0.0934356	+	0.529900i
$892$		−	4.16597e14i		−	0.737721i
$893$	−4.91158e13	+	5.35830e14i	−0.0864897	+	0.943561i
$894$	−9.00996e14			−1.57774
$895$	−6.75517e13	+	1.19112e13i	−0.117631	+	0.0207415i
$896$	−6.13554e14	−	7.31205e14i	−1.06246	−	1.26619i
$897$	2.78766e13	−	1.01463e13i	0.0480041	−	0.0174721i
$898$	1.15226e15	+	4.19389e14i	1.97319	+	0.718183i
$899$	1.70055e15	+	1.42693e15i	2.89595	+	2.42999i
$900$	4.94546e13	−	8.56579e13i	0.0837518	−	0.145062i
$901$	−2.56980e14	+	1.48367e14i	−0.432788	+	0.249870i
$902$	2.50799e14	−	1.42235e15i	0.420043	−	2.38218i
$903$	−3.54386e14	−	6.24878e13i	−0.590252	−	0.104077i
$904$	6.08734e14	+	1.05436e15i	1.00829	+	1.74641i
$905$	2.11178e14	+	1.21924e14i	0.347861	+	0.200838i
$906$	−6.27879e14	+	7.48277e14i	−1.02857	+	1.22580i
$907$	−3.19420e14	+	8.77600e14i	−0.520387	+	1.42975i	0.349705	+	0.936860i	$0.386282\pi$
$907$	−3.19420e14	+	8.77600e14i	−0.520387	+	1.42975i	−0.870091	+	0.492890i	$0.835940\pi$
$908$	−3.54256e14	−	9.73311e14i	−0.573969	−	1.57697i
$909$	−9.25974e13	+	7.76984e13i	−0.149204	+	0.125197i
$910$	1.36054e13	+	7.71603e13i	0.0218025	+	0.123648i
$911$			2.88977e14i			0.460544i	0.973126	+	0.230272i	$0.0739616\pi$
$911$			2.88977e14i			0.460544i	−0.973126	+	0.230272i	$0.926038\pi$
$912$	1.44793e14	+	1.32721e13i	0.229494	+	0.0210362i
$913$	−1.11716e15			−1.76102
$914$	−6.13449e13	+	1.08168e13i	−0.0961718	+	0.0169577i
$915$	1.65171e14	+	1.96843e14i	0.257530	+	0.306912i
$916$	7.28686e14	−	2.65220e14i	1.12996	−	0.411272i
$917$	−3.34156e14	−	1.21623e14i	−0.515350	−	0.187572i
$918$	−2.31729e14	−	1.94444e14i	−0.355440	−	0.298250i
$919$	−7.91751e13	+	1.37135e14i	−0.120784	+	0.209205i	−0.920077	−	0.391737i	$-0.871874\pi$
$919$	−7.91751e13	+	1.37135e14i	−0.120784	+	0.209205i	0.799293	+	0.600942i	$0.205208\pi$
$920$	−1.22955e14	+	7.09881e13i	−0.186555	+	0.107708i
$921$	2.99468e13	−	1.69837e14i	0.0451911	−	0.256291i
$922$	−5.46486e14	−	9.63603e13i	−0.820209	−	0.144625i
$923$	−3.58770e13	−	6.21408e13i	−0.0535559	−	0.0927616i
$924$	1.24940e15	+	7.21342e14i	1.85499	+	1.07098i
$925$	−5.87336e13	+	6.99959e13i	−0.0867317	+	0.103363i
$926$	−2.49665e14	+	6.85948e14i	−0.366692	+	1.00748i
$927$	−1.16083e14	−	3.18935e14i	−0.169578	−	0.465912i
$928$	−7.53651e14	+	6.32388e14i	−1.09504	+	0.918848i
$929$	−9.15328e13	−	5.19108e14i	−0.132281	−	0.750204i	−0.976715	−	0.214543i	$-0.931174\pi$
$929$	−9.15328e13	−	5.19108e14i	−0.132281	−	0.750204i	0.844433	−	0.535661i	$-0.179937\pi$
$930$			7.09644e14i			1.02006i
$931$	−5.87584e13	−	8.46598e13i	−0.0840082	−	0.121040i
$932$	1.91353e15			2.72116
$933$	4.77147e14	−	8.41339e13i	0.674907	−	0.119004i
$934$	7.78754e14	+	9.28082e14i	1.09563	+	1.30573i
$935$	1.44059e14	−	5.24331e13i	0.201596	−	0.0733748i
$936$	7.38181e13	+	2.68676e13i	0.102750	+	0.0373981i
$937$	−3.98657e14	−	3.34513e14i	−0.551952	−	0.463143i	0.323649	−	0.946177i	$-0.395090\pi$
$937$	−3.98657e14	−	3.34513e14i	−0.551952	−	0.463143i	−0.875601	+	0.483034i	$0.839535\pi$
$938$	8.75249e14	−	1.51598e15i	1.20536	−	2.08775i
$939$	3.74879e14	−	2.16436e14i	0.513526	−	0.296485i
$940$	−9.46427e13	+	5.36746e14i	−0.128958	+	0.731357i
$941$	5.66293e14	+	9.98527e13i	0.767526	+	0.135336i	0.543684	−	0.839290i	$-0.317029\pi$
$941$	5.66293e14	+	9.98527e13i	0.767526	+	0.135336i	0.223842	+	0.974625i	$0.428140\pi$
$942$	4.67911e14	+	8.10446e14i	0.630825	+	1.09262i
$943$	−1.98302e14	−	1.14490e14i	−0.265930	−	0.153535i
$944$	−3.54899e13	+	4.22952e13i	−0.0473418	+	0.0564198i
$945$	−1.13668e14	+	3.12301e14i	−0.150827	+	0.414395i
$946$	−7.07375e14	−	1.94350e15i	−0.933672	−	2.56524i
$947$	−7.47330e14	+	6.27084e14i	−0.981211	+	0.823334i	−0.984272	−	0.176661i	$-0.943470\pi$
$947$	−7.47330e14	+	6.27084e14i	−0.981211	+	0.823334i	0.00306026	+	0.999995i	$0.499026\pi$
$948$	−7.65844e13	−	4.34332e14i	−0.100023	−	0.567257i
$949$			1.85050e14i			0.240413i
$950$	−2.32247e14	−	1.09472e14i	−0.300146	−	0.141476i
$951$	−3.42830e14			−0.440734
$952$	−2.32520e14	+	4.09996e13i	−0.297356	+	0.0524319i
$953$	−8.93216e14	−	1.06449e15i	−1.13630	−	1.35419i	−0.926435	−	0.376455i	$-0.877143\pi$
$953$	−8.93216e14	−	1.06449e15i	−1.13630	−	1.35419i	−0.209862	−	0.977731i	$-0.567302\pi$
$954$	1.12342e15	−	4.08890e14i	1.42167	−	0.517445i
$955$	−1.84496e14	−	6.71510e13i	−0.232258	−	0.0845348i
$956$	−1.03194e15	−	8.65901e14i	−1.29231	−	1.08437i
$957$	1.05550e15	−	1.82818e15i	1.31492	−	2.27750i
$958$	−7.15308e14	+	4.12983e14i	−0.886473	+	0.511806i
$959$	1.40783e14	−	7.98419e14i	0.173563	−	0.984323i
$960$	−3.92480e14	−	6.92048e13i	−0.481351	−	0.0848751i
$961$	1.07372e15	+	1.85974e15i	1.31001	+	2.26901i
$962$	−1.46359e14	−	8.45001e13i	−0.177641	−	0.102561i
$963$	−3.53252e14	+	4.20990e14i	−0.426534	+	0.508323i
$964$	1.55016e14	−	4.25903e14i	0.186205	−	0.511594i
$965$	−2.02842e12	−	5.57303e12i	−0.00242393	−	0.00665970i
$966$	2.75187e14	−	2.30909e14i	0.327146	−	0.274508i
$967$	6.91414e13	+	3.92121e14i	0.0817723	+	0.463753i	0.998007	+	0.0631106i	$0.0201021\pi$
$967$	6.91414e13	+	3.92121e14i	0.0817723	+	0.463753i	−0.916234	+	0.400643i	$0.868787\pi$
$968$			2.49936e15i			2.94070i
$969$	−9.32764e13	+	1.32045e14i	−0.109182	+	0.154562i
$970$	−2.60220e14			−0.303028
$971$	1.05505e15	−	1.86034e14i	1.22230	−	0.215525i	0.474986	−	0.879994i	$-0.342453\pi$
$971$	1.05505e15	−	1.86034e14i	1.22230	−	0.215525i	0.747316	+	0.664469i	$0.231342\pi$
$972$	8.36293e14	+	9.96655e14i	0.963889	+	1.14872i
$973$	1.07733e15	−	3.92118e14i	1.23534	−	0.449627i
$974$	−1.00555e15	−	3.65990e14i	−1.14712	−	0.417518i
$975$	1.78754e13	+	1.49992e13i	0.0202877	+	0.0170234i
$976$	1.75098e14	−	3.03279e14i	0.197712	−	0.342447i
$977$	−1.47176e14	+	8.49720e13i	−0.165335	+	0.0954560i	−0.580384	−	0.814343i	$-0.697098\pi$
$977$	−1.47176e14	+	8.49720e13i	−0.165335	+	0.0954560i	0.415050	+	0.909799i	$0.363764\pi$
$978$	−2.62965e14	+	1.49135e15i	−0.293903	+	1.66681i
$979$	−2.61879e15	−	4.61763e14i	−2.91197	−	0.513458i
$980$	−5.21917e13	−	9.03987e13i	−0.0577393	−	0.100007i
$981$	4.93529e14	+	2.84939e14i	0.543210	+	0.313622i
$982$	9.21830e14	−	1.09859e15i	1.00947	−	1.20304i
$983$	4.59523e14	−	1.26253e15i	0.500657	−	1.37554i	−0.389978	−	0.920824i	$-0.627517\pi$
$983$	4.59523e14	−	1.26253e15i	0.500657	−	1.37554i	0.890635	−	0.454719i	$-0.150260\pi$
$984$	2.26581e14	+	6.22525e14i	0.245611	+	0.674810i
$985$	2.39490e14	−	2.00956e14i	0.258289	−	0.216730i
$986$	1.39709e14	+	7.92330e14i	0.149913	+	0.850201i
$987$		−	5.92171e14i		−	0.632210i
$988$	7.94651e13	−	2.91730e14i	0.0844095	−	0.309882i
$989$	−3.27897e14			−0.346542
$990$	−6.08263e14	+	1.07253e14i	−0.639610	+	0.112781i
$991$	−2.18275e14	−	2.60130e14i	−0.228368	−	0.272159i	0.639677	−	0.768644i	$-0.279068\pi$
$991$	−2.18275e14	−	2.60130e14i	−0.228368	−	0.272159i	−0.868045	+	0.496485i	$0.834624\pi$
$992$	−1.23565e15	+	4.49739e14i	−1.28628	+	0.468168i
$993$	−8.57887e14	−	3.12245e14i	−0.888554	−	0.323407i
$994$	−6.65609e14	−	5.58512e14i	−0.685942	−	0.575573i
$995$	−2.22213e14	+	3.84884e14i	−0.227852	+	0.394652i
$996$	1.03345e15	−	5.96664e14i	1.05437	−	0.608742i
$997$	−2.31776e14	+	1.31447e15i	−0.235285	+	1.33437i	0.606729	+	0.794909i	$0.292481\pi$
$997$	−2.31776e14	+	1.31447e15i	−0.235285	+	1.33437i	−0.842014	+	0.539456i	$0.818630\pi$
$998$	1.07176e15	+	1.88980e14i	1.08254	+	0.190881i
$999$	−3.58428e14	−	6.20816e14i	−0.360226	−	0.623929i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.11.n.a.86.60	yes	396
19.2	odd	18	inner	95.11.n.a.21.60	✓	396

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.11.n.a.21.60	✓	396	19.2	odd	18	inner
95.11.n.a.86.60	yes	396	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 11 \)
Character orbit:	\([\chi]\)	\(=\)	95.n (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(52.2842 - 9.21912i) q^{2} +(-112.865 - 134.507i) q^{3} +(1686.40 - 613.801i) q^{4} +(-1313.26 - 477.988i) q^{5} +(-7141.10 - 5992.09i) q^{6} +(-7759.77 + 13440.3i) q^{7} +(35432.2 - 20456.8i) q^{8} +(4900.06 - 27789.6i) q^{9} +(-73069.4 - 12884.1i) q^{10} +(147501. + 255479. i) q^{11} +(-272897. - 157557. i) q^{12} +(-43736.8 + 52123.5i) q^{13} +(-281806. + 774255. i) q^{14} +(83928.3 + 230591. i) q^{15} +(256187. - 214967. i) q^{16} +(64570.4 + 366197. i) q^{17} -1.49813e6i q^{18} +(-2.46755e6 + 205590. i) q^{19} -2.50808e6 q^{20} +(2.68363e6 - 473196. i) q^{21} +(1.00673e7 + 1.19977e7i) q^{22} +(2.33329e6 - 849249. i) q^{23} +(-6.75064e6 - 2.45703e6i) q^{24} +(1.49618e6 + 1.25544e6i) q^{25} +(-1.80621e6 + 3.12845e6i) q^{26} +(-1.32701e7 + 7.66149e6i) q^{27} +(-4.83643e6 + 2.74288e7i) q^{28} +(4.01350e7 + 7.07688e6i) q^{29} +(6.51397e6 + 1.12825e7i) q^{30} +(4.71732e7 + 2.72354e7i) q^{31} +(-1.55171e7 + 1.84926e7i) q^{32} +(1.77161e7 - 4.86746e7i) q^{33} +(6.75203e6 + 1.85511e7i) q^{34} +(1.66149e7 - 1.39416e7i) q^{35} +(-8.79380e6 - 4.98721e7i) q^{36} +4.67831e7i q^{37} +(-1.27119e8 + 3.34977e7i) q^{38} +1.19473e7 q^{39} +(-5.63098e7 + 9.92893e6i) q^{40} +(-5.92761e7 - 7.06425e7i) q^{41} +(1.35949e8 - 4.94814e7i) q^{42} +(-1.24091e8 - 4.51654e7i) q^{43} +(4.05560e8 + 3.40305e8i) q^{44} +(-1.97181e7 + 3.41528e7i) q^{45} +(1.14165e8 - 6.59133e7i) q^{46} +(3.77352e7 - 2.14007e8i) q^{47} +(-5.78291e7 - 1.01968e7i) q^{48} +(2.08095e7 + 3.60430e7i) q^{49} +(8.98008e7 + 5.18465e7i) q^{50} +(4.19684e7 - 5.00160e7i) q^{51} +(-4.17644e7 + 1.14747e8i) q^{52} +(2.72933e8 + 7.49877e8i) q^{53} +(-6.23184e8 + 5.22914e8i) q^{54} +(-7.15913e7 - 4.06014e8i) q^{55} +6.34960e8i q^{56} +(3.06153e8 + 3.08699e8i) q^{57} +2.16367e9 q^{58} +(-1.62587e8 + 2.86684e7i) q^{59} +(2.83074e8 + 3.37354e8i) q^{60} +(9.83999e8 - 3.58146e8i) q^{61} +(2.71750e9 + 9.89089e8i) q^{62} +(3.35478e8 + 2.81499e8i) q^{63} +(-8.12044e8 + 1.40650e9i) q^{64} +(8.23522e7 - 4.75460e7i) q^{65} +(4.77536e8 - 2.70824e9i) q^{66} +(-2.09226e9 - 3.68921e8i) q^{67} +(3.33664e8 + 5.77923e8i) q^{68} +(-3.77577e8 - 2.17994e8i) q^{69} +(7.40169e8 - 8.82099e8i) q^{70} +(-3.60677e8 + 9.90952e8i) q^{71} +(-3.94866e8 - 1.08489e9i) q^{72} +(2.08336e9 - 1.74815e9i) q^{73} +(4.31299e8 + 2.44602e9i) q^{74} -3.42943e8i q^{75} +(-4.03509e9 + 1.86129e9i) q^{76} -4.57830e9 q^{77} +(6.24657e8 - 1.10144e8i) q^{78} +(8.99643e8 + 1.07215e9i) q^{79} +(-4.39192e8 + 1.59853e8i) q^{80} +(9.62480e8 + 3.50314e8i) q^{81} +(-3.75047e9 - 3.14702e9i) q^{82} +(-1.89349e9 + 3.27962e9i) q^{83} +(4.23523e9 - 2.44521e9i) q^{84} +(9.02399e7 - 5.11776e8i) q^{85} +(-6.90438e9 - 1.21743e9i) q^{86} +(-3.57794e9 - 6.19718e9i) q^{87} +(1.04526e10 + 6.03479e9i) q^{88} +(-5.79417e9 + 6.90522e9i) q^{89} +(-7.16089e8 + 1.96744e9i) q^{90} +(-3.61169e8 - 9.92303e8i) q^{91} +(3.41361e9 - 2.86435e9i) q^{92} +(-1.66083e9 - 9.41906e9i) q^{93} -1.15371e10i q^{94} +(3.33880e9 + 9.09465e8i) q^{95} +4.23873e9 q^{96} +(3.45389e9 - 6.09014e8i) q^{97} +(1.42029e9 + 1.69264e9i) q^{98} +(7.82243e9 - 2.84713e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 396 q + 132 q^{3} - 1830 q^{4} + 3066 q^{6} - 95436 q^{9} - 93750 q^{10} + 2985984 q^{12} - 2110026 q^{13} + 1224960 q^{14} - 6809430 q^{16} + 532380 q^{17} - 7959948 q^{19} - 9580518 q^{21} - 31211136 q^{22}+ \cdots - 91369111794 q^{99}+O(q^{100}) \) 396 * q + 132 * q^3 - 1830 * q^4 + 3066 * q^6 - 95436 * q^9 - 93750 * q^10 + 2985984 * q^12 - 2110026 * q^13 + 1224960 * q^14 - 6809430 * q^16 + 532380 * q^17 - 7959948 * q^19 - 9580518 * q^21 - 31211136 * q^22 - 13532700 * q^23 + 21417984 * q^24 - 159720 * q^26 - 183408156 * q^27 + 144654336 * q^28 - 140983194 * q^29 - 119625000 * q^30 + 122776776 * q^31 + 393148500 * q^32 - 359004150 * q^33 - 578370492 * q^34 - 59812500 * q^35 - 640932912 * q^36 + 503327622 * q^38 + 1302975096 * q^39 - 96000000 * q^40 - 1194423528 * q^41 - 3390185778 * q^42 - 670104582 * q^43 + 2150443914 * q^44 + 3016431090 * q^46 - 151507770 * q^47 + 364629606 * q^48 - 8225668806 * q^49 + 3009006312 * q^51 - 2363609406 * q^52 - 4515798744 * q^53 - 9311985042 * q^54 + 952636938 * q^57 + 4039140864 * q^58 + 5041664862 * q^59 - 2779312500 * q^60 + 5128963260 * q^61 - 4033454760 * q^62 - 12114094326 * q^63 + 11990621196 * q^64 - 3916687500 * q^65 - 1806217476 * q^66 + 6379678362 * q^67 + 18479546670 * q^68 + 14567082498 * q^69 - 1621125000 * q^70 - 1788156144 * q^71 - 16923552852 * q^72 - 26786299530 * q^73 + 15012453948 * q^74 + 18346685868 * q^76 + 6003303804 * q^77 + 69668310660 * q^78 - 9538312266 * q^79 + 5565750000 * q^80 + 2012656020 * q^81 + 30701977302 * q^82 - 21873008760 * q^83 - 51655671540 * q^84 - 14398500000 * q^85 - 14081837694 * q^86 - 17926323216 * q^87 + 110136441168 * q^88 + 77332013844 * q^89 + 18945093750 * q^90 - 85587979728 * q^91 + 50548839756 * q^92 - 13898204208 * q^93 + 262589518236 * q^96 + 29548158042 * q^97 - 235808629536 * q^98 - 91369111794 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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