Properties

Label 14.14.c.b.9.4
Level $14$
Weight $14$
Character 14.9
Analytic conductor $15.012$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 14 = 2 \cdot 7 \)
Weight: \( k \) \(=\) \( 14 \)
Character orbit: \([\chi]\) \(=\) 14.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(15.0123300533\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} + \cdots)\)
Defining polynomial: \(x^{8} + 209077 x^{6} - 47718852 x^{5} + 40973427094 x^{4} - 4988457209802 x^{3} + 1142094021456771 x^{2} + 65369216338084710 x + 7506311351102577225\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{14}\cdot 3\cdot 7^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 9.4
Root \(114.279 + 197.937i\) of defining polynomial
Character \(\chi\) \(=\) 14.9
Dual form 14.14.c.b.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(32.0000 - 55.4256i) q^{2} +(888.214 + 1538.43i) q^{3} +(-2048.00 - 3547.24i) q^{4} +(-13071.0 + 22639.6i) q^{5} +113691. q^{6} +(-218721. + 221472. i) q^{7} -262144. q^{8} +(-780686. + 1.35219e6i) q^{9} +O(q^{10})\) \(q+(32.0000 - 55.4256i) q^{2} +(888.214 + 1538.43i) q^{3} +(-2048.00 - 3547.24i) q^{4} +(-13071.0 + 22639.6i) q^{5} +113691. q^{6} +(-218721. + 221472. i) q^{7} -262144. q^{8} +(-780686. + 1.35219e6i) q^{9} +(836543. + 1.44893e6i) q^{10} +(-5.60522e6 - 9.70852e6i) q^{11} +(3.63812e6 - 6.30141e6i) q^{12} -1.74220e7 q^{13} +(5.27615e6 + 1.92099e7i) q^{14} -4.64393e7 q^{15} +(-8.38861e6 + 1.45295e7i) q^{16} +(8.48313e7 + 1.46932e8i) q^{17} +(4.99639e7 + 8.65400e7i) q^{18} +(-8.89700e7 + 1.54101e8i) q^{19} +1.07077e8 q^{20} +(-5.34991e8 - 1.39773e8i) q^{21} -7.17468e8 q^{22} +(2.23644e7 - 3.87364e7i) q^{23} +(-2.32840e8 - 4.03291e8i) q^{24} +(2.68651e8 + 4.65316e8i) q^{25} +(-5.57504e8 + 9.65626e8i) q^{26} +5.85356e7 q^{27} +(1.23356e9 + 3.22282e8i) q^{28} -3.14386e9 q^{29} +(-1.48606e9 + 2.57393e9i) q^{30} +(1.48731e9 + 2.57609e9i) q^{31} +(5.36871e8 + 9.29888e8i) q^{32} +(9.95727e9 - 1.72465e10i) q^{33} +1.08584e10 q^{34} +(-2.15514e9 - 7.84663e9i) q^{35} +6.39538e9 q^{36} +(-2.86014e9 + 4.95391e9i) q^{37} +(5.69408e9 + 9.86244e9i) q^{38} +(-1.54745e10 - 2.68026e10i) q^{39} +(3.42648e9 - 5.93484e9i) q^{40} +2.70618e10 q^{41} +(-2.48667e10 + 2.51795e10i) q^{42} +2.32764e10 q^{43} +(-2.29590e10 + 3.97661e10i) q^{44} +(-2.04087e10 - 3.53488e10i) q^{45} +(-1.43132e9 - 2.47913e9i) q^{46} +(-1.66537e10 + 2.88451e10i) q^{47} -2.98035e10 q^{48} +(-1.21086e9 - 9.68814e10i) q^{49} +3.43873e10 q^{50} +(-1.50697e11 + 2.61014e11i) q^{51} +(3.56803e10 + 6.18001e10i) q^{52} +(-1.01723e11 - 1.76189e11i) q^{53} +(1.87314e9 - 3.24437e9i) q^{54} +2.93063e11 q^{55} +(5.73365e10 - 5.80576e10i) q^{56} -3.16098e11 q^{57} +(-1.00603e11 + 1.74250e11i) q^{58} +(1.44370e11 + 2.50056e11i) q^{59} +(9.51077e10 + 1.64731e11i) q^{60} +(-1.05582e11 + 1.82874e11i) q^{61} +1.90375e11 q^{62} +(-1.28719e11 - 4.68653e11i) q^{63} +6.87195e10 q^{64} +(2.27723e11 - 3.94427e11i) q^{65} +(-6.37265e11 - 1.10378e12i) q^{66} +(2.96224e11 + 5.13074e11i) q^{67} +(3.47469e11 - 6.01834e11i) q^{68} +7.94576e10 q^{69} +(-5.03869e11 - 1.31642e11i) q^{70} +1.43181e12 q^{71} +(2.04652e11 - 3.54468e11i) q^{72} +(-3.23132e11 - 5.59681e11i) q^{73} +(1.83049e11 + 3.17050e11i) q^{74} +(-4.77238e11 + 8.26601e11i) q^{75} +7.28843e11 q^{76} +(3.37615e12 + 8.82062e11i) q^{77} -1.98073e12 q^{78} +(-9.00359e11 + 1.55947e12i) q^{79} +(-2.19295e11 - 3.79829e11i) q^{80} +(1.29666e12 + 2.24588e12i) q^{81} +(8.65979e11 - 1.49992e12i) q^{82} -4.71815e12 q^{83} +(5.99852e11 + 2.18400e12i) q^{84} -4.43531e12 q^{85} +(7.44845e11 - 1.29011e12i) q^{86} +(-2.79242e12 - 4.83661e12i) q^{87} +(1.46937e12 + 2.54503e12i) q^{88} +(-1.31611e12 + 2.27956e12i) q^{89} -2.61231e12 q^{90} +(3.81057e12 - 3.85849e12i) q^{91} -1.83210e11 q^{92} +(-2.64209e12 + 4.57624e12i) q^{93} +(1.06584e12 + 1.84609e12i) q^{94} +(-2.32585e12 - 4.02849e12i) q^{95} +(-9.53712e11 + 1.65188e12i) q^{96} -7.42070e12 q^{97} +(-5.40846e12 - 3.03309e12i) q^{98} +1.75037e13 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 256 q^{2} + 182 q^{3} - 16384 q^{4} + 1792 q^{5} + 23296 q^{6} - 268352 q^{7} - 2097152 q^{8} + 599840 q^{9} + O(q^{10}) \) \( 8 q + 256 q^{2} + 182 q^{3} - 16384 q^{4} + 1792 q^{5} + 23296 q^{6} - 268352 q^{7} - 2097152 q^{8} + 599840 q^{9} - 114688 q^{10} - 8726914 q^{11} + 745472 q^{12} + 1438416 q^{13} + 27004544 q^{14} - 136873212 q^{15} - 67108864 q^{16} - 7943068 q^{17} - 38389760 q^{18} - 215706806 q^{19} - 14680064 q^{20} - 414124312 q^{21} - 1117044992 q^{22} - 61927978 q^{23} - 47710208 q^{24} - 1327844792 q^{25} + 46029312 q^{26} - 3268643812 q^{27} + 2827460608 q^{28} - 6325846064 q^{29} - 4379942784 q^{30} + 6113775570 q^{31} + 4294967296 q^{32} + 25235960652 q^{33} - 1016712704 q^{34} + 41542225382 q^{35} - 4913889280 q^{36} - 3945652880 q^{37} + 13805235584 q^{38} - 23545599116 q^{39} - 469762048 q^{40} + 86378579952 q^{41} + 16061065216 q^{42} - 109074124256 q^{43} - 35745439744 q^{44} - 104964468168 q^{45} + 3963390592 q^{46} - 3141202722 q^{47} - 6106906624 q^{48} + 151080461672 q^{49} - 169964133376 q^{50} - 241278267462 q^{51} - 2945875968 q^{52} + 149625680376 q^{53} - 104596601984 q^{54} + 174912009748 q^{55} + 70346866688 q^{56} - 128207489960 q^{57} - 202427074048 q^{58} - 866297313938 q^{59} + 280316338176 q^{60} - 477908594184 q^{61} + 782563272960 q^{62} + 953051390564 q^{63} + 549755813888 q^{64} - 1099748343120 q^{65} - 1615101481728 q^{66} + 1895501016278 q^{67} - 32534806528 q^{68} + 3503301895632 q^{69} + 1443396653440 q^{70} + 638832672128 q^{71} - 157244456960 q^{72} - 2966596192756 q^{73} + 252521784320 q^{74} - 1331079867376 q^{75} + 1767070154752 q^{76} + 6943031627392 q^{77} - 3013836686848 q^{78} - 6505959677634 q^{79} + 30064771072 q^{80} + 2449216493684 q^{81} + 2764114558464 q^{82} - 3379817135968 q^{83} + 2724161355776 q^{84} - 16684556982464 q^{85} - 3490371976192 q^{86} - 5273311164492 q^{87} + 2287708143616 q^{88} + 9586601667468 q^{89} - 13435451925504 q^{90} + 16069253407200 q^{91} + 507313995776 q^{92} - 14195747226896 q^{93} + 201036974208 q^{94} + 14384410136978 q^{95} - 195421011968 q^{96} - 44560735311568 q^{97} - 2146516623104 q^{98} + 24706419985464 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 32.0000 55.4256i 0.353553 0.612372i
\(3\) 888.214 + 1538.43i 0.703444 + 1.21840i 0.967250 + 0.253825i \(0.0816886\pi\)
−0.263807 + 0.964576i \(0.584978\pi\)
\(4\) −2048.00 3547.24i −0.250000 0.433013i
\(5\) −13071.0 + 22639.6i −0.374113 + 0.647983i −0.990194 0.139700i \(-0.955386\pi\)
0.616081 + 0.787683i \(0.288720\pi\)
\(6\) 113691. 0.994820
\(7\) −218721. + 221472.i −0.702674 + 0.711512i
\(8\) −262144. −0.353553
\(9\) −780686. + 1.35219e6i −0.489666 + 0.848126i
\(10\) 836543. + 1.44893e6i 0.264538 + 0.458193i
\(11\) −5.60522e6 9.70852e6i −0.953982 1.65235i −0.736681 0.676241i \(-0.763608\pi\)
−0.217301 0.976105i \(-0.569725\pi\)
\(12\) 3.63812e6 6.30141e6i 0.351722 0.609200i
\(13\) −1.74220e7 −1.00107 −0.500537 0.865715i \(-0.666864\pi\)
−0.500537 + 0.865715i \(0.666864\pi\)
\(14\) 5.27615e6 + 1.92099e7i 0.187277 + 0.681856i
\(15\) −4.64393e7 −1.05267
\(16\) −8.38861e6 + 1.45295e7i −0.125000 + 0.216506i
\(17\) 8.48313e7 + 1.46932e8i 0.852390 + 1.47638i 0.879046 + 0.476737i \(0.158181\pi\)
−0.0266563 + 0.999645i \(0.508486\pi\)
\(18\) 4.99639e7 + 8.65400e7i 0.346246 + 0.599716i
\(19\) −8.89700e7 + 1.54101e8i −0.433856 + 0.751460i −0.997201 0.0747610i \(-0.976181\pi\)
0.563346 + 0.826221i \(0.309514\pi\)
\(20\) 1.07077e8 0.374113
\(21\) −5.34991e8 1.39773e8i −1.36120 0.355630i
\(22\) −7.17468e8 −1.34913
\(23\) 2.23644e7 3.87364e7i 0.0315012 0.0545617i −0.849845 0.527033i \(-0.823305\pi\)
0.881346 + 0.472471i \(0.156638\pi\)
\(24\) −2.32840e8 4.03291e8i −0.248705 0.430770i
\(25\) 2.68651e8 + 4.65316e8i 0.220079 + 0.381187i
\(26\) −5.57504e8 + 9.65626e8i −0.353933 + 0.613031i
\(27\) 5.85356e7 0.0290774
\(28\) 1.23356e9 + 3.22282e8i 0.483762 + 0.126389i
\(29\) −3.14386e9 −0.981468 −0.490734 0.871310i \(-0.663271\pi\)
−0.490734 + 0.871310i \(0.663271\pi\)
\(30\) −1.48606e9 + 2.57393e9i −0.372175 + 0.644626i
\(31\) 1.48731e9 + 2.57609e9i 0.300988 + 0.521327i 0.976360 0.216151i \(-0.0693502\pi\)
−0.675372 + 0.737477i \(0.736017\pi\)
\(32\) 5.36871e8 + 9.29888e8i 0.0883883 + 0.153093i
\(33\) 9.95727e9 1.72465e10i 1.34215 2.32466i
\(34\) 1.08584e10 1.20546
\(35\) −2.15514e9 7.84663e9i −0.198168 0.721507i
\(36\) 6.39538e9 0.489666
\(37\) −2.86014e9 + 4.95391e9i −0.183264 + 0.317422i −0.942990 0.332821i \(-0.892000\pi\)
0.759726 + 0.650243i \(0.225333\pi\)
\(38\) 5.69408e9 + 9.86244e9i 0.306782 + 0.531363i
\(39\) −1.54745e10 2.68026e10i −0.704200 1.21971i
\(40\) 3.42648e9 5.93484e9i 0.132269 0.229097i
\(41\) 2.70618e10 0.889738 0.444869 0.895596i \(-0.353250\pi\)
0.444869 + 0.895596i \(0.353250\pi\)
\(42\) −2.48667e10 + 2.51795e10i −0.699034 + 0.707826i
\(43\) 2.32764e10 0.561527 0.280764 0.959777i \(-0.409412\pi\)
0.280764 + 0.959777i \(0.409412\pi\)
\(44\) −2.29590e10 + 3.97661e10i −0.476991 + 0.826173i
\(45\) −2.04087e10 3.53488e10i −0.366381 0.634591i
\(46\) −1.43132e9 2.47913e9i −0.0222747 0.0385809i
\(47\) −1.66537e10 + 2.88451e10i −0.225359 + 0.390334i −0.956427 0.291971i \(-0.905689\pi\)
0.731068 + 0.682305i \(0.239022\pi\)
\(48\) −2.98035e10 −0.351722
\(49\) −1.21086e9 9.68814e10i −0.0124974 0.999922i
\(50\) 3.43873e10 0.311238
\(51\) −1.50697e11 + 2.61014e11i −1.19922 + 2.07710i
\(52\) 3.56803e10 + 6.18001e10i 0.250269 + 0.433478i
\(53\) −1.01723e11 1.76189e11i −0.630411 1.09190i −0.987468 0.157822i \(-0.949553\pi\)
0.357056 0.934083i \(-0.383780\pi\)
\(54\) 1.87314e9 3.24437e9i 0.0102804 0.0178062i
\(55\) 2.93063e11 1.42759
\(56\) 5.73365e10 5.80576e10i 0.248433 0.251557i
\(57\) −3.16098e11 −1.22077
\(58\) −1.00603e11 + 1.74250e11i −0.347001 + 0.601024i
\(59\) 1.44370e11 + 2.50056e11i 0.445593 + 0.771790i 0.998093 0.0617228i \(-0.0196595\pi\)
−0.552500 + 0.833513i \(0.686326\pi\)
\(60\) 9.51077e10 + 1.64731e11i 0.263168 + 0.455820i
\(61\) −1.05582e11 + 1.82874e11i −0.262390 + 0.454472i −0.966876 0.255245i \(-0.917844\pi\)
0.704487 + 0.709717i \(0.251177\pi\)
\(62\) 1.90375e11 0.425661
\(63\) −1.28719e11 4.68653e11i −0.259376 0.944360i
\(64\) 6.87195e10 0.125000
\(65\) 2.27723e11 3.94427e11i 0.374515 0.648680i
\(66\) −6.37265e11 1.10378e12i −0.949040 1.64379i
\(67\) 2.96224e11 + 5.13074e11i 0.400068 + 0.692937i 0.993734 0.111774i \(-0.0356533\pi\)
−0.593666 + 0.804712i \(0.702320\pi\)
\(68\) 3.47469e11 6.01834e11i 0.426195 0.738191i
\(69\) 7.94576e10 0.0886373
\(70\) −5.03869e11 1.31642e11i −0.511894 0.133739i
\(71\) 1.43181e12 1.32649 0.663247 0.748401i \(-0.269178\pi\)
0.663247 + 0.748401i \(0.269178\pi\)
\(72\) 2.04652e11 3.54468e11i 0.173123 0.299858i
\(73\) −3.23132e11 5.59681e11i −0.249909 0.432854i 0.713592 0.700562i \(-0.247067\pi\)
−0.963500 + 0.267708i \(0.913734\pi\)
\(74\) 1.83049e11 + 3.17050e11i 0.129587 + 0.224451i
\(75\) −4.77238e11 + 8.26601e11i −0.309626 + 0.536287i
\(76\) 7.28843e11 0.433856
\(77\) 3.37615e12 + 8.82062e11i 1.84600 + 0.482292i
\(78\) −1.98073e12 −0.995889
\(79\) −9.00359e11 + 1.55947e12i −0.416716 + 0.721773i −0.995607 0.0936322i \(-0.970152\pi\)
0.578891 + 0.815405i \(0.303486\pi\)
\(80\) −2.19295e11 3.79829e11i −0.0935283 0.161996i
\(81\) 1.29666e12 + 2.24588e12i 0.510120 + 0.883554i
\(82\) 8.65979e11 1.49992e12i 0.314570 0.544851i
\(83\) −4.71815e12 −1.58403 −0.792017 0.610499i \(-0.790969\pi\)
−0.792017 + 0.610499i \(0.790969\pi\)
\(84\) 5.99852e11 + 2.18400e12i 0.186307 + 0.678323i
\(85\) −4.43531e12 −1.27556
\(86\) 7.44845e11 1.29011e12i 0.198530 0.343864i
\(87\) −2.79242e12 4.83661e12i −0.690407 1.19582i
\(88\) 1.46937e12 + 2.54503e12i 0.337284 + 0.584192i
\(89\) −1.31611e12 + 2.27956e12i −0.280709 + 0.486202i −0.971560 0.236795i \(-0.923903\pi\)
0.690851 + 0.722998i \(0.257236\pi\)
\(90\) −2.61231e12 −0.518141
\(91\) 3.81057e12 3.85849e12i 0.703430 0.712276i
\(92\) −1.83210e11 −0.0315012
\(93\) −2.64209e12 + 4.57624e12i −0.423456 + 0.733448i
\(94\) 1.06584e12 + 1.84609e12i 0.159353 + 0.276008i
\(95\) −2.32585e12 4.02849e12i −0.324622 0.562263i
\(96\) −9.53712e11 + 1.65188e12i −0.124352 + 0.215385i
\(97\) −7.42070e12 −0.904542 −0.452271 0.891881i \(-0.649386\pi\)
−0.452271 + 0.891881i \(0.649386\pi\)
\(98\) −5.40846e12 3.03309e12i −0.616743 0.345873i
\(99\) 1.75037e13 1.86853
\(100\) 1.10039e12 1.90594e12i 0.110039 0.190594i
\(101\) 7.57462e12 + 1.31196e13i 0.710022 + 1.22979i 0.964848 + 0.262807i \(0.0846483\pi\)
−0.254827 + 0.966987i \(0.582018\pi\)
\(102\) 9.64459e12 + 1.67049e13i 0.847974 + 1.46873i
\(103\) 2.23826e12 3.87678e12i 0.184701 0.319911i −0.758775 0.651353i \(-0.774202\pi\)
0.943476 + 0.331442i \(0.107535\pi\)
\(104\) 4.56708e12 0.353933
\(105\) 1.01573e13 1.02850e13i 0.739685 0.748987i
\(106\) −1.30205e13 −0.891536
\(107\) 1.22649e13 2.12434e13i 0.790075 1.36845i −0.135845 0.990730i \(-0.543375\pi\)
0.925920 0.377720i \(-0.123292\pi\)
\(108\) −1.19881e11 2.07640e11i −0.00726935 0.0125909i
\(109\) −1.31592e13 2.27923e13i −0.751547 1.30172i −0.947073 0.321019i \(-0.895975\pi\)
0.195526 0.980698i \(-0.437359\pi\)
\(110\) 9.37801e12 1.62432e13i 0.504729 0.874216i
\(111\) −1.01617e13 −0.515663
\(112\) −1.38311e12 5.03576e12i −0.0662125 0.241072i
\(113\) 5.80988e12 0.262517 0.131258 0.991348i \(-0.458098\pi\)
0.131258 + 0.991348i \(0.458098\pi\)
\(114\) −1.01151e13 + 1.75199e13i −0.431608 + 0.747567i
\(115\) 5.84650e11 + 1.01264e12i 0.0235700 + 0.0408245i
\(116\) 6.43862e12 + 1.11520e13i 0.245367 + 0.424988i
\(117\) 1.36011e13 2.35578e13i 0.490192 0.849038i
\(118\) 1.84793e13 0.630164
\(119\) −5.10958e13 1.33494e13i −1.64942 0.430931i
\(120\) 1.21738e13 0.372175
\(121\) −4.55756e13 + 7.89393e13i −1.32016 + 2.28659i
\(122\) 6.75726e12 + 1.17039e13i 0.185538 + 0.321360i
\(123\) 2.40367e13 + 4.16328e13i 0.625881 + 1.08406i
\(124\) 6.09200e12 1.05517e13i 0.150494 0.260663i
\(125\) −4.59577e13 −1.07756
\(126\) −3.00944e13 7.86254e12i −0.670003 0.175047i
\(127\) 7.00151e13 1.48070 0.740350 0.672221i \(-0.234660\pi\)
0.740350 + 0.672221i \(0.234660\pi\)
\(128\) 2.19902e12 3.80882e12i 0.0441942 0.0765466i
\(129\) 2.06744e13 + 3.58091e13i 0.395003 + 0.684165i
\(130\) −1.45743e13 2.52434e13i −0.264822 0.458686i
\(131\) 5.84582e12 1.01253e13i 0.101061 0.175042i −0.811061 0.584961i \(-0.801110\pi\)
0.912122 + 0.409919i \(0.134443\pi\)
\(132\) −8.15699e13 −1.34215
\(133\) −1.46693e13 5.34095e13i −0.229813 0.836725i
\(134\) 3.79166e13 0.565781
\(135\) −7.65118e11 + 1.32522e12i −0.0108782 + 0.0188417i
\(136\) −2.22380e13 3.85174e13i −0.301365 0.521980i
\(137\) 4.59295e13 + 7.95522e13i 0.593482 + 1.02794i 0.993759 + 0.111547i \(0.0355806\pi\)
−0.400277 + 0.916394i \(0.631086\pi\)
\(138\) 2.54264e12 4.40399e12i 0.0313380 0.0542790i
\(139\) −7.33962e13 −0.863132 −0.431566 0.902081i \(-0.642039\pi\)
−0.431566 + 0.902081i \(0.642039\pi\)
\(140\) −2.34201e13 + 2.37147e13i −0.262880 + 0.266186i
\(141\) −5.91683e13 −0.634110
\(142\) 4.58178e13 7.93588e13i 0.468986 0.812308i
\(143\) 9.76542e13 + 1.69142e14i 0.955007 + 1.65412i
\(144\) −1.30977e13 2.26859e13i −0.122417 0.212032i
\(145\) 4.10933e13 7.11757e13i 0.367180 0.635975i
\(146\) −4.13609e13 −0.353424
\(147\) 1.47970e14 8.79143e13i 1.20951 0.718616i
\(148\) 2.34303e13 0.183264
\(149\) −4.61464e12 + 7.99279e12i −0.0345483 + 0.0598394i −0.882783 0.469782i \(-0.844333\pi\)
0.848234 + 0.529621i \(0.177666\pi\)
\(150\) 3.05432e13 + 5.29025e13i 0.218938 + 0.379212i
\(151\) 2.95582e13 + 5.11963e13i 0.202922 + 0.351470i 0.949469 0.313862i \(-0.101623\pi\)
−0.746547 + 0.665333i \(0.768290\pi\)
\(152\) 2.33230e13 4.03966e13i 0.153391 0.265681i
\(153\) −2.64906e14 −1.66954
\(154\) 1.56926e14 1.58899e14i 0.948002 0.959925i
\(155\) −7.77622e13 −0.450414
\(156\) −6.33834e13 + 1.09783e14i −0.352100 + 0.609855i
\(157\) −1.05245e14 1.82289e14i −0.560857 0.971433i −0.997422 0.0717600i \(-0.977138\pi\)
0.436565 0.899673i \(-0.356195\pi\)
\(158\) 5.76230e13 + 9.98060e13i 0.294662 + 0.510370i
\(159\) 1.80703e14 3.12986e14i 0.886918 1.53619i
\(160\) −2.80697e13 −0.132269
\(161\) 3.68744e12 + 1.34256e13i 0.0166862 + 0.0607526i
\(162\) 1.65972e14 0.721419
\(163\) 1.90304e14 3.29617e14i 0.794748 1.37654i −0.128251 0.991742i \(-0.540936\pi\)
0.922999 0.384802i \(-0.125730\pi\)
\(164\) −5.54226e13 9.59948e13i −0.222435 0.385268i
\(165\) 2.60302e14 + 4.50857e14i 1.00423 + 1.73937i
\(166\) −1.50981e14 + 2.61507e14i −0.560041 + 0.970019i
\(167\) 4.07830e12 0.0145486 0.00727431 0.999974i \(-0.497684\pi\)
0.00727431 + 0.999974i \(0.497684\pi\)
\(168\) 1.40245e14 + 3.66407e13i 0.481256 + 0.125734i
\(169\) 6.51455e11 0.00215090
\(170\) −1.41930e14 + 2.45830e14i −0.450979 + 0.781118i
\(171\) −1.38915e14 2.40608e14i −0.424889 0.735929i
\(172\) −4.76700e13 8.25669e13i −0.140382 0.243148i
\(173\) −1.89881e14 + 3.28883e14i −0.538494 + 0.932699i 0.460491 + 0.887664i \(0.347673\pi\)
−0.998985 + 0.0450349i \(0.985660\pi\)
\(174\) −3.57430e14 −0.976383
\(175\) −1.61814e14 4.22761e13i −0.425863 0.111262i
\(176\) 1.88080e14 0.476991
\(177\) −2.56463e14 + 4.44206e14i −0.626899 + 1.08582i
\(178\) 8.42309e13 + 1.45892e14i 0.198491 + 0.343797i
\(179\) 1.77670e14 + 3.07733e14i 0.403710 + 0.699245i 0.994170 0.107821i \(-0.0343873\pi\)
−0.590461 + 0.807066i \(0.701054\pi\)
\(180\) −8.35939e13 + 1.44789e14i −0.183191 + 0.317295i
\(181\) −4.78841e14 −1.01223 −0.506117 0.862465i \(-0.668919\pi\)
−0.506117 + 0.862465i \(0.668919\pi\)
\(182\) −9.19211e13 3.34675e14i −0.187478 0.682589i
\(183\) −3.75118e14 −0.738305
\(184\) −5.86270e12 + 1.01545e13i −0.0111374 + 0.0192905i
\(185\) −7.47697e13 1.29505e14i −0.137123 0.237504i
\(186\) 1.69094e14 + 2.92879e14i 0.299429 + 0.518626i
\(187\) 9.50996e14 1.64717e15i 1.62633 2.81688i
\(188\) 1.36427e14 0.225359
\(189\) −1.28030e13 + 1.29640e13i −0.0204320 + 0.0206889i
\(190\) −2.97709e14 −0.459085
\(191\) −5.26670e14 + 9.12220e14i −0.784914 + 1.35951i 0.144136 + 0.989558i \(0.453960\pi\)
−0.929050 + 0.369953i \(0.879374\pi\)
\(192\) 6.10376e13 + 1.05720e14i 0.0879305 + 0.152300i
\(193\) −2.76447e14 4.78821e14i −0.385026 0.666884i 0.606747 0.794895i \(-0.292474\pi\)
−0.991773 + 0.128011i \(0.959141\pi\)
\(194\) −2.37462e14 + 4.11297e14i −0.319804 + 0.553916i
\(195\) 8.09066e14 1.05380
\(196\) −3.41182e14 + 2.02708e14i −0.429855 + 0.255392i
\(197\) 2.54122e14 0.309750 0.154875 0.987934i \(-0.450502\pi\)
0.154875 + 0.987934i \(0.450502\pi\)
\(198\) 5.60117e14 9.70151e14i 0.660625 1.14424i
\(199\) −2.34714e14 4.06536e14i −0.267913 0.464039i 0.700410 0.713741i \(-0.253001\pi\)
−0.968323 + 0.249702i \(0.919667\pi\)
\(200\) −7.04251e13 1.21980e14i −0.0778095 0.134770i
\(201\) −5.26220e14 + 9.11439e14i −0.562850 + 0.974885i
\(202\) 9.69551e14 1.00412
\(203\) 6.87629e14 6.96277e14i 0.689652 0.698326i
\(204\) 1.23451e15 1.19922
\(205\) −3.53725e14 + 6.12669e14i −0.332863 + 0.576535i
\(206\) −1.43249e14 2.48114e14i −0.130603 0.226211i
\(207\) 3.49192e13 + 6.04818e13i 0.0308501 + 0.0534340i
\(208\) 1.46146e14 2.53133e14i 0.125134 0.216739i
\(209\) 1.99479e15 1.65556
\(210\) −2.45021e14 8.92093e14i −0.197141 0.717769i
\(211\) 2.12280e14 0.165605 0.0828026 0.996566i \(-0.473613\pi\)
0.0828026 + 0.996566i \(0.473613\pi\)
\(212\) −4.16656e14 + 7.21669e14i −0.315206 + 0.545952i
\(213\) 1.27175e15 + 2.20274e15i 0.933114 + 1.61620i
\(214\) −7.84951e14 1.35958e15i −0.558667 0.967640i
\(215\) −3.04245e14 + 5.26968e14i −0.210075 + 0.363860i
\(216\) −1.53448e13 −0.0102804
\(217\) −8.95838e14 2.34049e14i −0.582426 0.152166i
\(218\) −1.68437e15 −1.06285
\(219\) 5.74020e14 9.94232e14i 0.351593 0.608977i
\(220\) −6.00193e14 1.03956e15i −0.356897 0.618164i
\(221\) −1.47793e15 2.55985e15i −0.853306 1.47797i
\(222\) −3.25174e14 + 5.63217e14i −0.182314 + 0.315778i
\(223\) −2.01582e15 −1.09766 −0.548832 0.835933i \(-0.684927\pi\)
−0.548832 + 0.835933i \(0.684927\pi\)
\(224\) −3.23369e14 8.44844e13i −0.171036 0.0446853i
\(225\) −8.38927e14 −0.431060
\(226\) 1.85916e14 3.22016e14i 0.0928138 0.160758i
\(227\) 1.03207e15 + 1.78760e15i 0.500658 + 0.867165i 1.00000 0.000759878i \(0.000241877\pi\)
−0.499342 + 0.866405i \(0.666425\pi\)
\(228\) 6.47368e14 + 1.12127e15i 0.305193 + 0.528610i
\(229\) 6.95631e14 1.20487e15i 0.318749 0.552089i −0.661478 0.749964i \(-0.730071\pi\)
0.980227 + 0.197875i \(0.0634040\pi\)
\(230\) 7.48352e13 0.0333331
\(231\) 1.64175e15 + 5.97743e15i 0.710934 + 2.58843i
\(232\) 8.24144e14 0.347001
\(233\) 5.49511e14 9.51781e14i 0.224990 0.389694i −0.731327 0.682027i \(-0.761098\pi\)
0.956316 + 0.292334i \(0.0944318\pi\)
\(234\) −8.70472e14 1.50770e15i −0.346618 0.600361i
\(235\) −4.35361e14 7.54068e14i −0.168620 0.292058i
\(236\) 5.91339e14 1.02423e15i 0.222797 0.385895i
\(237\) −3.19885e15 −1.17254
\(238\) −2.37497e15 + 2.40483e15i −0.847046 + 0.857699i
\(239\) −2.56720e15 −0.890991 −0.445496 0.895284i \(-0.646972\pi\)
−0.445496 + 0.895284i \(0.646972\pi\)
\(240\) 3.89561e14 6.74740e14i 0.131584 0.227910i
\(241\) 9.42088e14 + 1.63174e15i 0.309728 + 0.536465i 0.978303 0.207180i \(-0.0664286\pi\)
−0.668575 + 0.743645i \(0.733095\pi\)
\(242\) 2.91684e15 + 5.05211e15i 0.933496 + 1.61686i
\(243\) −2.25676e15 + 3.90882e15i −0.703143 + 1.21788i
\(244\) 8.64929e14 0.262390
\(245\) 2.20918e15 + 1.23892e15i 0.652608 + 0.365986i
\(246\) 3.07670e15 0.885129
\(247\) 1.55004e15 2.68474e15i 0.434322 0.752268i
\(248\) −3.89888e14 6.75306e14i −0.106415 0.184317i
\(249\) −4.19073e15 7.25856e15i −1.11428 1.92999i
\(250\) −1.47065e15 + 2.54723e15i −0.380976 + 0.659870i
\(251\) 5.62418e15 1.41965 0.709823 0.704380i \(-0.248775\pi\)
0.709823 + 0.704380i \(0.248775\pi\)
\(252\) −1.39881e15 + 1.41640e15i −0.344076 + 0.348403i
\(253\) −5.01430e14 −0.120206
\(254\) 2.24048e15 3.88063e15i 0.523507 0.906740i
\(255\) −3.93951e15 6.82342e15i −0.897285 1.55414i
\(256\) −1.40737e14 2.43764e14i −0.0312500 0.0541266i
\(257\) 1.18486e15 2.05224e15i 0.256509 0.444286i −0.708795 0.705414i \(-0.750761\pi\)
0.965304 + 0.261128i \(0.0840944\pi\)
\(258\) 2.64632e15 0.558618
\(259\) −4.71579e14 1.71697e15i −0.0970748 0.353439i
\(260\) −1.86551e15 −0.374515
\(261\) 2.45437e15 4.25109e15i 0.480591 0.832409i
\(262\) −3.74133e14 6.48017e14i −0.0714607 0.123774i
\(263\) 9.63982e14 + 1.66967e15i 0.179621 + 0.311112i 0.941751 0.336312i \(-0.109180\pi\)
−0.762130 + 0.647424i \(0.775846\pi\)
\(264\) −2.61024e15 + 4.52106e15i −0.474520 + 0.821893i
\(265\) 5.31845e15 0.943381
\(266\) −3.42967e15 8.96046e14i −0.593639 0.155096i
\(267\) −4.67594e15 −0.789852
\(268\) 1.21333e15 2.10155e15i 0.200034 0.346469i
\(269\) 2.46115e15 + 4.26284e15i 0.396049 + 0.685976i 0.993234 0.116127i \(-0.0370479\pi\)
−0.597186 + 0.802103i \(0.703715\pi\)
\(270\) 4.89676e13 + 8.48143e13i 0.00769208 + 0.0133231i
\(271\) −1.09879e15 + 1.90315e15i −0.168505 + 0.291859i −0.937894 0.346921i \(-0.887227\pi\)
0.769389 + 0.638780i \(0.220561\pi\)
\(272\) −2.84647e15 −0.426195
\(273\) 9.32062e15 + 2.43513e15i 1.36266 + 0.356013i
\(274\) 5.87897e15 0.839311
\(275\) 3.01169e15 5.21640e15i 0.419902 0.727291i
\(276\) −1.62729e14 2.81855e14i −0.0221593 0.0383811i
\(277\) −5.28042e14 9.14596e14i −0.0702345 0.121650i 0.828770 0.559590i \(-0.189041\pi\)
−0.899004 + 0.437940i \(0.855708\pi\)
\(278\) −2.34868e15 + 4.06803e15i −0.305163 + 0.528559i
\(279\) −4.64447e15 −0.589534
\(280\) 5.64957e14 + 2.05695e15i 0.0700629 + 0.255091i
\(281\) −2.64590e15 −0.320614 −0.160307 0.987067i \(-0.551248\pi\)
−0.160307 + 0.987067i \(0.551248\pi\)
\(282\) −1.89339e15 + 3.27944e15i −0.224192 + 0.388312i
\(283\) 3.50100e15 + 6.06390e15i 0.405116 + 0.701682i 0.994335 0.106291i \(-0.0338977\pi\)
−0.589219 + 0.807974i \(0.700564\pi\)
\(284\) −2.93234e15 5.07896e15i −0.331623 0.574389i
\(285\) 4.13171e15 7.15632e15i 0.456707 0.791040i
\(286\) 1.24997e16 1.35058
\(287\) −5.91900e15 + 5.99344e15i −0.625196 + 0.633059i
\(288\) −1.67651e15 −0.173123
\(289\) −9.44041e15 + 1.63513e16i −0.953136 + 1.65088i
\(290\) −2.62997e15 4.55524e15i −0.259636 0.449702i
\(291\) −6.59117e15 1.14162e16i −0.636294 1.10209i
\(292\) −1.32355e15 + 2.29245e15i −0.124954 + 0.216427i
\(293\) 8.77788e15 0.810495 0.405247 0.914207i \(-0.367185\pi\)
0.405247 + 0.914207i \(0.367185\pi\)
\(294\) −1.37664e14 1.10146e16i −0.0124326 0.994742i
\(295\) −7.54822e15 −0.666809
\(296\) 7.49769e14 1.29864e15i 0.0647935 0.112226i
\(297\) −3.28105e14 5.68295e14i −0.0277393 0.0480459i
\(298\) 2.95337e14 + 5.11538e14i 0.0244294 + 0.0423129i
\(299\) −3.89634e14 + 6.74865e14i −0.0315351 + 0.0546203i
\(300\) 3.90954e15 0.309626
\(301\) −5.09105e15 + 5.15507e15i −0.394571 + 0.399533i
\(302\) 3.78345e15 0.286974
\(303\) −1.34558e16 + 2.33061e16i −0.998921 + 1.73018i
\(304\) −1.49267e15 2.58538e15i −0.108464 0.187865i
\(305\) −2.76013e15 4.78068e15i −0.196327 0.340048i
\(306\) −8.47700e15 + 1.46826e16i −0.590273 + 1.02238i
\(307\) −9.75008e15 −0.664674 −0.332337 0.943161i \(-0.607837\pi\)
−0.332337 + 0.943161i \(0.607837\pi\)
\(308\) −3.78547e15 1.37825e16i −0.252662 0.919915i
\(309\) 7.95222e15 0.519706
\(310\) −2.48839e15 + 4.31002e15i −0.159246 + 0.275821i
\(311\) 1.93994e15 + 3.36007e15i 0.121575 + 0.210574i 0.920389 0.391004i \(-0.127872\pi\)
−0.798814 + 0.601578i \(0.794539\pi\)
\(312\) 4.05654e15 + 7.02613e15i 0.248972 + 0.431233i
\(313\) 8.38718e15 1.45270e16i 0.504171 0.873250i −0.495817 0.868427i \(-0.665131\pi\)
0.999988 0.00482294i \(-0.00153520\pi\)
\(314\) −1.34713e16 −0.793171
\(315\) 1.22926e16 + 3.21160e15i 0.708965 + 0.185226i
\(316\) 7.37574e15 0.416716
\(317\) −7.59188e15 + 1.31495e16i −0.420208 + 0.727821i −0.995960 0.0898033i \(-0.971376\pi\)
0.575752 + 0.817625i \(0.304710\pi\)
\(318\) −1.15650e16 2.00311e16i −0.627146 1.08625i
\(319\) 1.76220e16 + 3.05222e16i 0.936302 + 1.62172i
\(320\) −8.98231e14 + 1.55578e15i −0.0467642 + 0.0809979i
\(321\) 4.35753e16 2.22309
\(322\) 8.62119e14 + 2.25240e14i 0.0431027 + 0.0112611i
\(323\) −3.01898e16 −1.47926
\(324\) 5.31111e15 9.19911e15i 0.255060 0.441777i
\(325\) −4.68043e15 8.10675e15i −0.220315 0.381597i
\(326\) −1.21795e16 2.10955e16i −0.561972 0.973363i
\(327\) 2.33763e16 4.04889e16i 1.05734 1.83137i
\(328\) −7.09410e15 −0.314570
\(329\) −2.74586e15 9.99738e15i −0.119373 0.434623i
\(330\) 3.33187e16 1.42019
\(331\) 1.56486e16 2.71041e16i 0.654022 1.13280i −0.328116 0.944637i \(-0.606414\pi\)
0.982138 0.188162i \(-0.0602529\pi\)
\(332\) 9.66278e15 + 1.67364e16i 0.396008 + 0.685907i
\(333\) −4.46575e15 7.73490e15i −0.179476 0.310862i
\(334\) 1.30506e14 2.26042e14i 0.00514372 0.00890918i
\(335\) −1.54877e16 −0.598682
\(336\) 6.51867e15 6.60065e15i 0.247146 0.250254i
\(337\) −1.55957e16 −0.579978 −0.289989 0.957030i \(-0.593652\pi\)
−0.289989 + 0.957030i \(0.593652\pi\)
\(338\) 2.08466e13 3.61073e13i 0.000760459 0.00131715i
\(339\) 5.16042e15 + 8.93810e15i 0.184666 + 0.319851i
\(340\) 9.08352e15 + 1.57331e16i 0.318890 + 0.552334i
\(341\) 1.66733e16 2.88791e16i 0.574274 0.994672i
\(342\) −1.77812e16 −0.600884
\(343\) 2.17214e16 + 2.09219e16i 0.720238 + 0.693728i
\(344\) −6.10177e15 −0.198530
\(345\) −1.03859e15 + 1.79889e15i −0.0331604 + 0.0574355i
\(346\) 1.21524e16 + 2.10485e16i 0.380773 + 0.659518i
\(347\) 3.14836e16 + 5.45312e16i 0.968150 + 1.67688i 0.700903 + 0.713257i \(0.252781\pi\)
0.267247 + 0.963628i \(0.413886\pi\)
\(348\) −1.14377e16 + 1.98108e16i −0.345204 + 0.597910i
\(349\) −6.18328e16 −1.83170 −0.915848 0.401524i \(-0.868481\pi\)
−0.915848 + 0.401524i \(0.868481\pi\)
\(350\) −7.52123e15 + 7.61582e15i −0.218699 + 0.221449i
\(351\) −1.01981e15 −0.0291087
\(352\) 6.01856e15 1.04244e16i 0.168642 0.292096i
\(353\) −5.56148e15 9.63276e15i −0.152987 0.264981i 0.779337 0.626605i \(-0.215556\pi\)
−0.932324 + 0.361623i \(0.882223\pi\)
\(354\) 1.64136e16 + 2.84292e16i 0.443285 + 0.767792i
\(355\) −1.87151e16 + 3.24155e16i −0.496259 + 0.859546i
\(356\) 1.07815e16 0.280709
\(357\) −2.48468e16 9.04645e16i −0.635224 2.31278i
\(358\) 2.27417e16 0.570932
\(359\) 3.10479e16 5.37765e16i 0.765453 1.32580i −0.174554 0.984648i \(-0.555848\pi\)
0.940007 0.341155i \(-0.110818\pi\)
\(360\) 5.35001e15 + 9.26648e15i 0.129535 + 0.224362i
\(361\) 5.19515e15 + 8.99827e15i 0.123538 + 0.213975i
\(362\) −1.53229e16 + 2.65401e16i −0.357879 + 0.619864i
\(363\) −1.61924e17 −3.71464
\(364\) −2.14910e16 5.61481e15i −0.484282 0.126525i
\(365\) 1.68946e16 0.373976
\(366\) −1.20038e16 + 2.07912e16i −0.261030 + 0.452118i
\(367\) 1.01257e16 + 1.75383e16i 0.216320 + 0.374678i 0.953680 0.300822i \(-0.0972612\pi\)
−0.737360 + 0.675500i \(0.763928\pi\)
\(368\) 3.75213e14 + 6.49888e14i 0.00787530 + 0.0136404i
\(369\) −2.11268e16 + 3.65927e16i −0.435675 + 0.754610i
\(370\) −9.57053e15 −0.193921
\(371\) 6.12698e16 + 1.60075e16i 1.21988 + 0.318708i
\(372\) 2.16440e16 0.423456
\(373\) −1.91899e16 + 3.32379e16i −0.368949 + 0.639038i −0.989401 0.145206i \(-0.953616\pi\)
0.620453 + 0.784244i \(0.286949\pi\)
\(374\) −6.08637e16 1.05419e17i −1.14999 1.99184i
\(375\) −4.08202e16 7.07027e16i −0.758005 1.31290i
\(376\) 4.36568e15 7.56157e15i 0.0796766 0.138004i
\(377\) 5.47723e16 0.982523
\(378\) 3.08843e14 + 1.12446e15i 0.00544554 + 0.0198266i
\(379\) 5.21687e16 0.904180 0.452090 0.891972i \(-0.350679\pi\)
0.452090 + 0.891972i \(0.350679\pi\)
\(380\) −9.52669e15 + 1.65007e16i −0.162311 + 0.281131i
\(381\) 6.21883e16 + 1.07713e17i 1.04159 + 1.80409i
\(382\) 3.37069e16 + 5.83821e16i 0.555018 + 0.961319i
\(383\) 4.92433e16 8.52919e16i 0.797178 1.38075i −0.124269 0.992249i \(-0.539659\pi\)
0.921447 0.388504i \(-0.127008\pi\)
\(384\) 7.81281e15 0.124352
\(385\) −6.40991e16 + 6.49053e16i −1.00313 + 1.01575i
\(386\) −3.53852e16 −0.544509
\(387\) −1.81715e16 + 3.14740e16i −0.274961 + 0.476246i
\(388\) 1.51976e16 + 2.63230e16i 0.226135 + 0.391678i
\(389\) 3.52381e16 + 6.10343e16i 0.515633 + 0.893102i 0.999835 + 0.0181464i \(0.00577650\pi\)
−0.484202 + 0.874956i \(0.660890\pi\)
\(390\) 2.58901e16 4.48430e16i 0.372575 0.645319i
\(391\) 7.58882e15 0.107405
\(392\) 3.17419e14 + 2.53969e16i 0.00441848 + 0.353526i
\(393\) 2.07694e16 0.284362
\(394\) 8.13190e15 1.40849e16i 0.109513 0.189683i
\(395\) −2.35372e16 4.07675e16i −0.311798 0.540049i
\(396\) −3.58475e16 6.20897e16i −0.467133 0.809097i
\(397\) 6.16634e16 1.06804e17i 0.790477 1.36915i −0.135195 0.990819i \(-0.543166\pi\)
0.925672 0.378327i \(-0.123501\pi\)
\(398\) −3.00434e16 −0.378886
\(399\) 6.91373e16 7.00068e16i 0.857806 0.868594i
\(400\) −9.01442e15 −0.110039
\(401\) −3.63043e16 + 6.28809e16i −0.436033 + 0.755232i −0.997379 0.0723493i \(-0.976950\pi\)
0.561346 + 0.827581i \(0.310284\pi\)
\(402\) 3.36781e16 + 5.83321e16i 0.397995 + 0.689348i
\(403\) −2.59119e16 4.48807e16i −0.301312 0.521887i
\(404\) 3.10256e16 5.37380e16i 0.355011 0.614897i
\(405\) −6.77943e16 −0.763371
\(406\) −1.65875e16 6.03932e16i −0.183806 0.669219i
\(407\) 6.41269e16 0.699321
\(408\) 3.95042e16 6.84233e16i 0.423987 0.734367i
\(409\) 3.12800e16 + 5.41785e16i 0.330419 + 0.572302i 0.982594 0.185766i \(-0.0594766\pi\)
−0.652175 + 0.758068i \(0.726143\pi\)
\(410\) 2.26384e16 + 3.92108e16i 0.235370 + 0.407672i
\(411\) −8.15904e16 + 1.41319e17i −0.834963 + 1.44620i
\(412\) −1.83358e16 −0.184701
\(413\) −8.69572e16 2.27187e16i −0.862244 0.225272i
\(414\) 4.46966e15 0.0436287
\(415\) 6.16709e16 1.06817e17i 0.592608 1.02643i
\(416\) −9.35337e15 1.62005e16i −0.0884834 0.153258i
\(417\) −6.51915e16 1.12915e17i −0.607165 1.05164i
\(418\) 6.38332e16 1.10562e17i 0.585330 1.01382i
\(419\) 1.88865e17 1.70514 0.852569 0.522615i \(-0.175044\pi\)
0.852569 + 0.522615i \(0.175044\pi\)
\(420\) −5.72855e16 1.49666e16i −0.509242 0.133046i
\(421\) −1.13170e17 −0.990597 −0.495299 0.868723i \(-0.664941\pi\)
−0.495299 + 0.868723i \(0.664941\pi\)
\(422\) 6.79297e15 1.17658e16i 0.0585502 0.101412i
\(423\) −2.60027e16 4.50379e16i −0.220702 0.382266i
\(424\) 2.66660e16 + 4.61868e16i 0.222884 + 0.386047i
\(425\) −4.55799e16 + 7.89468e16i −0.375185 + 0.649840i
\(426\) 1.62784e17 1.31962
\(427\) −1.74084e16 6.33819e16i −0.138988 0.506039i
\(428\) −1.00474e17 −0.790075
\(429\) −1.73476e17 + 3.00469e17i −1.34359 + 2.32716i
\(430\) 1.94717e16 + 3.37260e16i 0.148545 + 0.257288i
\(431\) 5.90084e16 + 1.02205e17i 0.443416 + 0.768019i 0.997940 0.0641485i \(-0.0204331\pi\)
−0.554524 + 0.832167i \(0.687100\pi\)
\(432\) −4.91032e14 + 8.50493e14i −0.00363468 + 0.00629545i
\(433\) 1.18291e17 0.862540 0.431270 0.902223i \(-0.358066\pi\)
0.431270 + 0.902223i \(0.358066\pi\)
\(434\) −4.16391e16 + 4.21628e16i −0.299101 + 0.302863i
\(435\) 1.45999e17 1.03316
\(436\) −5.38999e16 + 9.33574e16i −0.375773 + 0.650859i
\(437\) 3.97953e15 + 6.89275e15i 0.0273340 + 0.0473438i
\(438\) −3.67373e16 6.36309e16i −0.248614 0.430612i
\(439\) −3.45621e16 + 5.98633e16i −0.230452 + 0.399155i −0.957941 0.286965i \(-0.907354\pi\)
0.727489 + 0.686119i \(0.240687\pi\)
\(440\) −7.68247e16 −0.504729
\(441\) 1.31947e17 + 7.39967e16i 0.854180 + 0.479028i
\(442\) −1.89175e17 −1.20676
\(443\) −2.99317e15 + 5.18432e15i −0.0188151 + 0.0325888i −0.875280 0.483617i \(-0.839323\pi\)
0.856465 + 0.516206i \(0.172656\pi\)
\(444\) 2.08111e16 + 3.60459e16i 0.128916 + 0.223289i
\(445\) −3.44056e16 5.95923e16i −0.210034 0.363789i
\(446\) −6.45061e16 + 1.11728e17i −0.388083 + 0.672179i
\(447\) −1.63951e16 −0.0972112
\(448\) −1.50304e16 + 1.52195e16i −0.0878343 + 0.0889389i
\(449\) −1.34988e16 −0.0777491 −0.0388745 0.999244i \(-0.512377\pi\)
−0.0388745 + 0.999244i \(0.512377\pi\)
\(450\) −2.68457e16 + 4.64980e16i −0.152403 + 0.263969i
\(451\) −1.51688e17 2.62730e17i −0.848794 1.47015i
\(452\) −1.18986e16 2.06090e16i −0.0656292 0.113673i
\(453\) −5.25080e16 + 9.09466e16i −0.285488 + 0.494479i
\(454\) 1.32105e17 0.708037
\(455\) 3.75469e16 + 1.36704e17i 0.198381 + 0.722283i
\(456\) 8.28631e16 0.431608
\(457\) 1.48650e17 2.57470e17i 0.763327 1.32212i −0.177800 0.984067i \(-0.556898\pi\)
0.941127 0.338054i \(-0.109769\pi\)
\(458\) −4.45204e16 7.71116e16i −0.225389 0.390386i
\(459\) 4.96565e15 + 8.60076e15i 0.0247853 + 0.0429294i
\(460\) 2.39473e15 4.14779e15i 0.0117850 0.0204123i
\(461\) −4.11410e16 −0.199627 −0.0998135 0.995006i \(-0.531825\pi\)
−0.0998135 + 0.995006i \(0.531825\pi\)
\(462\) 3.83839e17 + 1.00283e17i 1.83644 + 0.479793i
\(463\) −3.23516e17 −1.52623 −0.763114 0.646264i \(-0.776331\pi\)
−0.763114 + 0.646264i \(0.776331\pi\)
\(464\) 2.63726e16 4.56787e16i 0.122683 0.212494i
\(465\) −6.90694e16 1.19632e17i −0.316841 0.548785i
\(466\) −3.51687e16 6.09140e16i −0.159092 0.275555i
\(467\) −8.99909e16 + 1.55869e17i −0.401457 + 0.695344i −0.993902 0.110267i \(-0.964829\pi\)
0.592445 + 0.805611i \(0.298163\pi\)
\(468\) −1.11420e17 −0.490192
\(469\) −1.78422e17 4.66151e16i −0.774150 0.202257i
\(470\) −5.57262e16 −0.238464
\(471\) 1.86959e17 3.23823e17i 0.789063 1.36670i
\(472\) −3.78457e16 6.55507e16i −0.157541 0.272869i
\(473\) −1.30469e17 2.25979e17i −0.535687 0.927837i
\(474\) −1.02363e17 + 1.77298e17i −0.414557 + 0.718033i
\(475\) −9.56074e16 −0.381929
\(476\) 5.72906e16 + 2.08589e17i 0.225755 + 0.821950i
\(477\) 3.17653e17 1.23476
\(478\) −8.21504e16 + 1.42289e17i −0.315013 + 0.545618i
\(479\) −9.02899e15 1.56387e16i −0.0341553 0.0591588i 0.848442 0.529288i \(-0.177541\pi\)
−0.882598 + 0.470129i \(0.844207\pi\)
\(480\) −2.49319e16 4.31833e16i −0.0930438 0.161157i
\(481\) 4.98295e16 8.63071e16i 0.183461 0.317763i
\(482\) 1.20587e17 0.438022
\(483\) −1.73791e16 + 1.75977e16i −0.0622832 + 0.0630665i
\(484\) 3.73355e17 1.32016
\(485\) 9.69958e16 1.68002e17i 0.338401 0.586128i
\(486\) 1.44432e17 + 2.50164e17i 0.497197 + 0.861171i
\(487\) 2.06142e17 + 3.57048e17i 0.700209 + 1.21280i 0.968393 + 0.249430i \(0.0802432\pi\)
−0.268184 + 0.963368i \(0.586423\pi\)
\(488\) 2.76777e16 4.79393e16i 0.0927688 0.160680i
\(489\) 6.76124e17 2.23624
\(490\) 1.39362e17 8.27999e16i 0.454851 0.270244i
\(491\) 3.06256e17 0.986405 0.493203 0.869915i \(-0.335826\pi\)
0.493203 + 0.869915i \(0.335826\pi\)
\(492\) 9.84543e16 1.70528e17i 0.312940 0.542029i
\(493\) −2.66698e17 4.61934e17i −0.836593 1.44902i
\(494\) −9.92024e16 1.71824e17i −0.307112 0.531934i
\(495\) −2.28790e17 + 3.96276e17i −0.699042 + 1.21078i
\(496\) −4.99057e16 −0.150494
\(497\) −3.13167e17 + 3.17105e17i −0.932093 + 0.943816i
\(498\) −5.36413e17 −1.57583
\(499\) 1.78606e17 3.09354e17i 0.517895 0.897021i −0.481889 0.876232i \(-0.660049\pi\)
0.999784 0.0207882i \(-0.00661756\pi\)
\(500\) 9.41213e16 + 1.63023e17i 0.269391 + 0.466599i
\(501\) 3.62240e15 + 6.27418e15i 0.0102341 + 0.0177261i
\(502\) 1.79974e17 3.11724e17i 0.501921 0.869352i
\(503\) 1.26023e17 0.346944 0.173472 0.984839i \(-0.444501\pi\)
0.173472 + 0.984839i \(0.444501\pi\)
\(504\) 3.37430e16 + 1.22854e17i 0.0917033 + 0.333882i
\(505\) −3.96031e17 −1.06251
\(506\) −1.60458e16 + 2.77921e16i −0.0424994 + 0.0736110i
\(507\) 5.78631e14 + 1.00222e15i 0.00151304 + 0.00262066i
\(508\) −1.43391e17 2.48360e17i −0.370175 0.641162i
\(509\) −2.09517e16 + 3.62895e16i −0.0534016 + 0.0924943i −0.891490 0.453039i \(-0.850340\pi\)
0.838089 + 0.545534i \(0.183673\pi\)
\(510\) −5.04257e17 −1.26895
\(511\) 1.94630e17 + 5.08495e16i 0.483585 + 0.126343i
\(512\) −1.80144e16 −0.0441942
\(513\) −5.20792e15 + 9.02038e15i −0.0126154 + 0.0218505i
\(514\) −7.58311e16 1.31343e17i −0.181379 0.314158i
\(515\) 5.85125e16 + 1.01347e17i 0.138198 + 0.239366i
\(516\) 8.46824e16 1.46674e17i 0.197501 0.342082i
\(517\) 3.73391e17 0.859955
\(518\) −1.10255e17 2.88054e16i −0.250757 0.0655135i
\(519\) −6.74618e17 −1.51520
\(520\) −5.96962e16 + 1.03397e17i −0.132411 + 0.229343i
\(521\) 3.14279e17 + 5.44347e17i 0.688446 + 1.19242i 0.972340 + 0.233568i \(0.0750402\pi\)
−0.283894 + 0.958856i \(0.591626\pi\)
\(522\) −1.57079e17 2.72070e17i −0.339829 0.588602i
\(523\) 5.09947e16 8.83254e16i 0.108959 0.188723i −0.806390 0.591385i \(-0.798582\pi\)
0.915349 + 0.402662i \(0.131915\pi\)
\(524\) −4.78890e16 −0.101061
\(525\) −7.86869e16 2.86490e17i −0.164009 0.597138i
\(526\) 1.23390e17 0.254022
\(527\) −2.52340e17 + 4.37066e17i −0.513118 + 0.888747i
\(528\) 1.67055e17 + 2.89348e17i 0.335536 + 0.581166i
\(529\) 2.51018e17 + 4.34776e17i 0.498015 + 0.862588i
\(530\) 1.70191e17 2.94779e17i 0.333536 0.577701i
\(531\) −4.50830e17 −0.872767
\(532\) −1.59414e17 + 1.61418e17i −0.304859 + 0.308693i
\(533\) −4.71472e17 −0.890694
\(534\) −1.49630e17 + 2.59167e17i −0.279255 + 0.483683i
\(535\) 3.20628e17 + 5.55343e17i 0.591155 + 1.02391i
\(536\) −7.76532e16 1.34499e17i −0.141445 0.244990i
\(537\) −3.15618e17 + 5.46666e17i −0.567974 + 0.983760i
\(538\) 3.15027e17 0.560097
\(539\) −9.33789e17 + 5.54797e17i −1.64029 + 0.974557i
\(540\) 6.26785e15 0.0108782
\(541\) −1.79876e17 + 3.11555e17i −0.308455 + 0.534259i −0.978025 0.208490i \(-0.933145\pi\)
0.669570 + 0.742749i \(0.266478\pi\)
\(542\) 7.03224e16 + 1.21802e17i 0.119151 + 0.206376i
\(543\) −4.25313e17 7.36664e17i −0.712049 1.23331i
\(544\) −9.10869e16 + 1.57767e17i −0.150683 + 0.260990i
\(545\) 6.88013e17 1.12465
\(546\) 4.33229e17 4.38677e17i 0.699786 0.708586i
\(547\) 7.34678e17 1.17268 0.586340 0.810065i \(-0.300568\pi\)
0.586340 + 0.810065i \(0.300568\pi\)
\(548\) 1.88127e17 3.25846e17i 0.296741 0.513971i
\(549\) −1.64853e17 2.85534e17i −0.256967 0.445079i
\(550\) −1.92748e17 3.33850e17i −0.296915 0.514273i
\(551\) 2.79709e17 4.84471e17i 0.425815 0.737534i
\(552\) −2.08293e16 −0.0313380
\(553\) −1.48451e17 5.40494e17i −0.220734 0.803669i
\(554\) −6.75894e16 −0.0993265
\(555\) 1.32823e17 2.30056e17i 0.192916 0.334141i
\(556\) 1.50315e17 + 2.60354e17i 0.215783 + 0.373747i
\(557\) −2.47501e17 4.28683e17i −0.351170 0.608244i 0.635285 0.772278i \(-0.280883\pi\)
−0.986455 + 0.164034i \(0.947549\pi\)
\(558\) −1.48623e17 + 2.57423e17i −0.208432 + 0.361015i
\(559\) −4.05522e17 −0.562131
\(560\) 1.32086e17 + 3.45092e16i 0.180982 + 0.0472838i
\(561\) 3.37875e18 4.57612
\(562\) −8.46688e16 + 1.46651e17i −0.113354 + 0.196335i
\(563\) −2.63438e17 4.56288e17i −0.348637 0.603857i 0.637371 0.770557i \(-0.280022\pi\)
−0.986008 + 0.166700i \(0.946689\pi\)
\(564\) 1.21177e17 + 2.09884e17i 0.158528 + 0.274578i
\(565\) −7.59408e16 + 1.31533e17i −0.0982111 + 0.170107i
\(566\) 4.48128e17 0.572921
\(567\) −7.81006e17 2.04048e17i −0.987108 0.257895i
\(568\) −3.75340e17 −0.468986
\(569\) 4.42870e17 7.67074e17i 0.547075 0.947562i −0.451398 0.892323i \(-0.649075\pi\)
0.998473 0.0552391i \(-0.0175921\pi\)
\(570\) −2.64429e17 4.58005e17i −0.322941 0.559350i
\(571\) 2.52094e17 + 4.36639e17i 0.304388 + 0.527215i 0.977125 0.212666i \(-0.0682147\pi\)
−0.672737 + 0.739882i \(0.734881\pi\)
\(572\) 3.99992e17 6.92806e17i 0.477504 0.827061i
\(573\) −1.87118e18 −2.20857
\(574\) 1.42782e17 + 5.19855e17i 0.166628 + 0.606673i
\(575\) 2.40329e16 0.0277310
\(576\) −5.36483e16 + 9.29216e16i −0.0612083 + 0.106016i
\(577\) 1.73113e17 + 2.99840e17i 0.195293 + 0.338257i 0.946996 0.321244i \(-0.104101\pi\)
−0.751704 + 0.659501i \(0.770768\pi\)
\(578\) 6.04186e17 + 1.04648e18i 0.673969 + 1.16735i
\(579\) 4.91088e17 8.50590e17i 0.541688 0.938231i
\(580\) −3.36636e17 −0.367180
\(581\) 1.03196e18 1.04494e18i 1.11306 1.12706i
\(582\) −8.43670e17 −0.899856
\(583\) −1.14035e18 + 1.97515e18i −1.20280 + 2.08331i
\(584\) 8.47071e16 + 1.46717e17i 0.0883560 + 0.153037i
\(585\) 3.55560e17 + 6.15848e17i 0.366775 + 0.635273i
\(586\) 2.80892e17 4.86520e17i 0.286553 0.496325i
\(587\) 9.20829e17 0.929033 0.464517 0.885564i \(-0.346228\pi\)
0.464517 + 0.885564i \(0.346228\pi\)
\(588\) −6.14895e17 3.44837e17i −0.613548 0.344081i
\(589\) −5.29303e17 −0.522342
\(590\) −2.41543e17 + 4.18365e17i −0.235753 + 0.408336i
\(591\) 2.25715e17 + 3.90949e17i 0.217892 + 0.377400i
\(592\) −4.79852e16 8.31129e16i −0.0458159 0.0793555i
\(593\) −2.62681e17 + 4.54977e17i −0.248069 + 0.429669i −0.962990 0.269537i \(-0.913129\pi\)
0.714921 + 0.699205i \(0.246463\pi\)
\(594\) −4.19974e16 −0.0392293
\(595\) 9.70098e17 9.82298e17i 0.896304 0.907576i
\(596\) 3.78031e16 0.0345483
\(597\) 4.16952e17 7.22182e17i 0.376923 0.652850i
\(598\) 2.49366e16 + 4.31914e16i 0.0222987 + 0.0386224i
\(599\) −4.11615e17 7.12937e17i −0.364096 0.630634i 0.624534 0.780997i \(-0.285289\pi\)
−0.988631 + 0.150364i \(0.951955\pi\)
\(600\) 1.25105e17 2.16688e17i 0.109469 0.189606i
\(601\) −1.43103e18 −1.23869 −0.619347 0.785118i \(-0.712602\pi\)
−0.619347 + 0.785118i \(0.712602\pi\)
\(602\) 1.22810e17 + 4.47137e17i 0.105161 + 0.382880i
\(603\) −9.25030e17 −0.783598
\(604\) 1.21070e17 2.09700e17i 0.101461 0.175735i
\(605\) −1.19144e18 2.06363e18i −0.987781 1.71089i
\(606\) 8.61168e17 + 1.49159e18i 0.706344 + 1.22342i
\(607\) −3.30113e17 + 5.71773e17i −0.267878 + 0.463978i −0.968314 0.249738i \(-0.919656\pi\)
0.700436 + 0.713715i \(0.252989\pi\)
\(608\) −1.91062e17 −0.153391
\(609\) 1.68194e18 + 4.39427e17i 1.33597 + 0.349040i
\(610\) −3.53296e17 −0.277648
\(611\) 2.90142e17 5.02540e17i 0.225602 0.390753i
\(612\) 5.42528e17 + 9.39686e17i 0.417386 + 0.722934i
\(613\) 4.67096e17 + 8.09034e17i 0.355560 + 0.615848i 0.987214 0.159403i \(-0.0509568\pi\)
−0.631654 + 0.775251i \(0.717624\pi\)
\(614\) −3.12003e17 + 5.40404e17i −0.234998 + 0.407028i
\(615\) −1.25673e18 −0.936601
\(616\) −8.85037e17 2.31227e17i −0.652660 0.170516i
\(617\) −2.39791e18 −1.74977 −0.874883 0.484334i \(-0.839062\pi\)
−0.874883 + 0.484334i \(0.839062\pi\)
\(618\) 2.54471e17 4.40757e17i 0.183744 0.318254i
\(619\) −5.77253e16 9.99832e16i −0.0412456 0.0714394i 0.844666 0.535294i \(-0.179799\pi\)
−0.885911 + 0.463855i \(0.846466\pi\)
\(620\) 1.59257e17 + 2.75841e17i 0.112604 + 0.195035i
\(621\) 1.30912e15 2.26746e15i 0.000915974 0.00158651i
\(622\) 2.48312e17 0.171933
\(623\) −2.16999e17 7.90071e17i −0.148691 0.541369i
\(624\) 5.19237e17 0.352100
\(625\) 2.72769e17 4.72450e17i 0.183052 0.317056i
\(626\) −5.36780e17 9.29730e17i −0.356503 0.617481i
\(627\) 1.77180e18 + 3.06884e18i 1.16459 + 2.01714i
\(628\) −4.31082e17 + 7.46656e17i −0.280428 + 0.485716i
\(629\) −9.70519e17 −0.624848
\(630\) 5.71368e17 5.78554e17i 0.364085 0.368663i
\(631\) 1.98112e18 1.24945 0.624726 0.780844i \(-0.285211\pi\)
0.624726 + 0.780844i \(0.285211\pi\)
\(632\) 2.36024e17 4.08805e17i 0.147331 0.255185i
\(633\) 1.88550e17 + 3.26579e17i 0.116494 + 0.201773i
\(634\) 4.85880e17 + 8.41569e17i 0.297132 + 0.514647i
\(635\) −9.15165e17 + 1.58511e18i −0.553950 + 0.959469i
\(636\) −1.48032e18 −0.886918
\(637\) 2.10956e16 + 1.68787e18i 0.0125108 + 1.00100i
\(638\) 2.25562e18 1.32413
\(639\) −1.11779e18 + 1.93607e18i −0.649539 + 1.12503i
\(640\) 5.74868e16 + 9.95700e16i 0.0330673 + 0.0572742i
\(641\) −4.73875e17 8.20775e17i −0.269828 0.467355i 0.698990 0.715132i \(-0.253633\pi\)
−0.968817 + 0.247777i \(0.920300\pi\)
\(642\) 1.39441e18 2.41519e18i 0.785982 1.36136i
\(643\) −2.02473e16 −0.0112978 −0.00564891 0.999984i \(-0.501798\pi\)
−0.00564891 + 0.999984i \(0.501798\pi\)
\(644\) 4.00719e16 4.05758e16i 0.0221351 0.0224135i
\(645\) −1.08094e18 −0.591103
\(646\) −9.66073e17 + 1.67329e18i −0.522996 + 0.905856i
\(647\) 4.30875e17 + 7.46297e17i 0.230926 + 0.399976i 0.958081 0.286498i \(-0.0924911\pi\)
−0.727155 + 0.686474i \(0.759158\pi\)
\(648\) −3.39911e17 5.88743e17i −0.180355 0.312384i
\(649\) 1.61845e18 2.80324e18i 0.850176 1.47255i
\(650\) −5.99095e17 −0.311573
\(651\) −4.35627e17 1.58607e18i −0.224305 0.816669i
\(652\) −1.55897e18 −0.794748
\(653\) 1.73045e16 2.99723e16i 0.00873422 0.0151281i −0.861625 0.507545i \(-0.830553\pi\)
0.870359 + 0.492417i \(0.163886\pi\)
\(654\) −1.49608e18 2.59129e18i −0.747653 1.29497i
\(655\) 1.52821e17 + 2.64694e17i 0.0756163 + 0.130971i
\(656\) −2.27011e17 + 3.93195e17i −0.111217 + 0.192634i
\(657\) 1.00906e18 0.489487
\(658\) −6.41979e17 1.67725e17i −0.308356 0.0805620i
\(659\) −4.84217e17 −0.230295 −0.115148 0.993348i \(-0.536734\pi\)
−0.115148 + 0.993348i \(0.536734\pi\)
\(660\) 1.06620e18 1.84671e18i 0.502114 0.869687i
\(661\) 1.47958e18 + 2.56271e18i 0.689970 + 1.19506i 0.971847 + 0.235612i \(0.0757095\pi\)
−0.281878 + 0.959450i \(0.590957\pi\)
\(662\) −1.00151e18 1.73466e18i −0.462463 0.801010i
\(663\) 2.62544e18 4.54739e18i 1.20051 2.07934i
\(664\) 1.23684e18 0.560041
\(665\) 1.40091e18 + 3.66006e17i 0.628160 + 0.164115i
\(666\) −5.71616e17 −0.253817
\(667\) −7.03106e16 + 1.21782e17i −0.0309174 + 0.0535505i
\(668\) −8.35236e15 1.44667e16i −0.00363716 0.00629974i
\(669\) −1.79048e18 3.10119e18i −0.772144 1.33739i
\(670\) −4.95607e17 + 8.58417e17i −0.211666 + 0.366617i
\(671\) 2.36725e18 1.00126
\(672\) −1.57248e17 5.72522e17i −0.0658695 0.239824i
\(673\) 2.37383e18 0.984807 0.492404 0.870367i \(-0.336118\pi\)
0.492404 + 0.870367i \(0.336118\pi\)
\(674\) −4.99063e17 + 8.64403e17i −0.205053 + 0.355162i
\(675\) 1.57256e16 + 2.72376e16i 0.00639932 + 0.0110839i
\(676\) −1.33418e15 2.31087e15i −0.000537726 0.000931368i
\(677\) −1.88783e18 + 3.26982e18i −0.753594 + 1.30526i 0.192476 + 0.981302i \(0.438348\pi\)
−0.946070 + 0.323962i \(0.894985\pi\)
\(678\) 6.60533e17 0.261157
\(679\) 1.62307e18 1.64348e18i 0.635598 0.643592i
\(680\) 1.16269e18 0.450979
\(681\) −1.83340e18 + 3.17554e18i −0.704369 + 1.22000i
\(682\) −1.06709e18 1.84826e18i −0.406073 0.703339i
\(683\) −1.00170e18 1.73500e18i −0.377576 0.653981i 0.613133 0.789980i \(-0.289909\pi\)
−0.990709 + 0.135999i \(0.956576\pi\)
\(684\) −5.68997e17 + 9.85532e17i −0.212444 + 0.367965i
\(685\) −2.40137e18 −0.888118
\(686\) 1.85469e18 5.34421e17i 0.679462 0.195784i
\(687\) 2.47148e18 0.896887
\(688\) −1.95257e17 + 3.38194e17i −0.0701909 + 0.121574i
\(689\) 1.77221e18 + 3.06956e18i 0.631089 + 1.09308i
\(690\) 6.64697e16 + 1.15129e17i 0.0234479 + 0.0406130i
\(691\) −1.63537e16 + 2.83255e16i −0.00571491 + 0.00989852i −0.868869 0.495043i \(-0.835152\pi\)
0.863154 + 0.504941i \(0.168486\pi\)
\(692\) 1.55550e18 0.538494
\(693\) −3.82843e18 + 3.87657e18i −1.31297 + 1.32948i
\(694\) 4.02990e18 1.36917
\(695\) 9.59360e17 1.66166e18i 0.322909 0.559295i
\(696\) 7.32016e17 + 1.26789e18i 0.244096 + 0.422786i
\(697\) 2.29569e18 + 3.97625e18i 0.758403 + 1.31359i
\(698\) −1.97865e18 + 3.42712e18i −0.647603 + 1.12168i
\(699\) 1.95233e18 0.633071
\(700\) 1.81432e17 + 6.60575e17i 0.0582878 + 0.212219i
\(701\) −5.10250e18 −1.62411 −0.812057 0.583579i \(-0.801652\pi\)
−0.812057 + 0.583579i \(0.801652\pi\)
\(702\) −3.26339e16 + 5.65235e16i −0.0102915 + 0.0178253i
\(703\) −5.08934e17 8.81500e17i −0.159020 0.275431i
\(704\) −3.85188e17 6.67165e17i −0.119248 0.206543i
\(705\) 7.73388e17 1.33955e18i 0.237229 0.410893i
\(706\) −7.11869e17 −0.216356
\(707\) −4.56236e18 1.19198e18i −1.37393 0.358956i
\(708\) 2.10094e18 0.626899
\(709\) 1.12804e18 1.95383e18i 0.333522 0.577678i −0.649677 0.760210i \(-0.725096\pi\)
0.983200 + 0.182532i \(0.0584294\pi\)
\(710\) 1.19777e18 + 2.07459e18i 0.350908 + 0.607791i
\(711\) −1.40580e18 2.43491e18i −0.408103 0.706855i
\(712\) 3.45010e17 5.97574e17i 0.0992456 0.171898i
\(713\) 1.33051e17 0.0379259
\(714\) −5.80915e18 1.51772e18i −1.64087 0.428698i
\(715\) −5.10574e18 −1.42912
\(716\) 7.27736e17 1.26048e18i 0.201855 0.349623i
\(717\) −2.28022e18 3.94946e18i −0.626762 1.08558i
\(718\) −1.98707e18 3.44170e18i −0.541257 0.937484i
\(719\) 1.13496e18 1.96581e18i 0.306368 0.530645i −0.671197 0.741279i \(-0.734219\pi\)
0.977565 + 0.210634i \(0.0675528\pi\)
\(720\) 6.84801e17 0.183191
\(721\) 3.69044e17 + 1.34365e18i 0.0978360 + 0.356210i
\(722\) 6.64980e17 0.174710
\(723\) −1.67355e18 + 2.89868e18i −0.435753 + 0.754746i
\(724\) 9.80666e17 + 1.69856e18i 0.253058 + 0.438310i
\(725\) −8.44599e17 1.46289e18i −0.216000 0.374123i
\(726\) −5.18155e18 + 8.97471e18i −1.31332 + 2.27474i
\(727\) 3.34385e18 0.839988 0.419994 0.907527i \(-0.362032\pi\)
0.419994 + 0.907527i \(0.362032\pi\)
\(728\) −9.98918e17 + 1.01148e18i −0.248700 + 0.251828i
\(729\) −3.88334e18 −0.958246
\(730\) 5.40627e17 9.36393e17i 0.132221 0.229013i
\(731\) 1.97457e18 + 3.42005e18i 0.478640 + 0.829028i
\(732\) 7.68242e17 + 1.33063e18i 0.184576 + 0.319696i
\(733\) −3.50530e17 + 6.07135e17i −0.0834736 + 0.144580i −0.904740 0.425965i \(-0.859935\pi\)
0.821266 + 0.570545i \(0.193268\pi\)
\(734\) 1.29609e18 0.305923
\(735\) 5.62313e16 + 4.49911e18i 0.0131556 + 1.05259i
\(736\) 4.80273e16 0.0111374
\(737\) 3.32080e18 5.75179e18i 0.763314 1.32210i
\(738\) 1.35211e18 + 2.34193e18i 0.308068 + 0.533590i
\(739\) −3.88505e18 6.72910e18i −0.877420 1.51974i −0.854162 0.520006i \(-0.825930\pi\)
−0.0232577 0.999730i \(-0.507404\pi\)
\(740\) −3.06257e17 + 5.30452e17i −0.0685614 + 0.118752i
\(741\) 5.50706e18 1.22208
\(742\) 2.84786e18 2.88368e18i 0.626460 0.634338i
\(743\) 2.35319e18 0.513132 0.256566 0.966527i \(-0.417409\pi\)
0.256566 + 0.966527i \(0.417409\pi\)
\(744\) 6.92608e17 1.19963e18i 0.149714 0.259313i
\(745\) −1.20636e17 2.08947e17i −0.0258500 0.0447735i
\(746\) 1.22816e18 + 2.12723e18i 0.260886 + 0.451868i
\(747\) 3.68340e18 6.37983e18i 0.775648 1.34346i
\(748\) −7.79056e18 −1.62633
\(749\) 2.02223e18 + 7.36271e18i 0.418502 + 1.52372i
\(750\) −5.22499e18 −1.07198
\(751\) 9.97951e17 1.72850e18i 0.202978 0.351569i −0.746508 0.665376i \(-0.768271\pi\)
0.949487 + 0.313807i \(0.101605\pi\)
\(752\) −2.79403e17 4.83941e17i −0.0563398 0.0975835i
\(753\) 4.99547e18 + 8.65241e18i 0.998641 + 1.72970i
\(754\) 1.75271e18 3.03579e18i 0.347374 0.601670i
\(755\) −1.54542e18 −0.303663
\(756\) 7.22070e16 + 1.88650e16i 0.0140666 + 0.00367507i
\(757\) −5.58530e18 −1.07876 −0.539378 0.842064i \(-0.681340\pi\)
−0.539378 + 0.842064i