Properties

Label 43.11.d.a.7.13
Level 43
Weight 11
Character 43.7
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.13
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.24

$q$-expansion

\(f(q)\) \(=\) \(q-24.2487i q^{2} +(-256.468 + 148.072i) q^{3} +436.000 q^{4} +(1350.56 - 779.746i) q^{5} +(3590.55 + 6219.01i) q^{6} +(21767.9 + 12567.7i) q^{7} -35403.1i q^{8} +(14325.9 - 24813.2i) q^{9} +O(q^{10})\) \(q-24.2487i q^{2} +(-256.468 + 148.072i) q^{3} +436.000 q^{4} +(1350.56 - 779.746i) q^{5} +(3590.55 + 6219.01i) q^{6} +(21767.9 + 12567.7i) q^{7} -35403.1i q^{8} +(14325.9 - 24813.2i) q^{9} +(-18907.8 - 32749.3i) q^{10} -240072. q^{11} +(-111820. + 64559.2i) q^{12} +(-104286. + 180628. i) q^{13} +(304750. - 527843. i) q^{14} +(-230916. + 399959. i) q^{15} -412017. q^{16} +(10923.1 - 18919.4i) q^{17} +(-601688. - 347385. i) q^{18} +(2.97684e6 - 1.71868e6i) q^{19} +(588844. - 339969. i) q^{20} -7.44367e6 q^{21} +5.82143e6i q^{22} +(4.72971e6 + 8.19210e6i) q^{23} +(5.24220e6 + 9.07975e6i) q^{24} +(-3.66680e6 + 6.35109e6i) q^{25} +(4.38000e6 + 2.52879e6i) q^{26} -9.00193e6i q^{27} +(9.49079e6 + 5.47951e6i) q^{28} +(-9.90965e6 - 5.72134e6i) q^{29} +(9.69849e6 + 5.59943e6i) q^{30} +(2.64824e7 + 4.58689e7i) q^{31} -2.62619e7i q^{32} +(6.15706e7 - 3.55478e7i) q^{33} +(-458772. - 264872. i) q^{34} +3.91984e7 q^{35} +(6.24608e6 - 1.08185e7i) q^{36} +(-7.02328e7 + 4.05489e7i) q^{37} +(-4.16758e7 - 7.21846e7i) q^{38} -6.17670e7i q^{39} +(-2.76054e7 - 4.78140e7i) q^{40} +1.98050e8 q^{41} +1.80499e8i q^{42} +(6.67374e7 + 1.30987e8i) q^{43} -1.04671e8 q^{44} -4.46822e7i q^{45} +(1.98648e8 - 1.14689e8i) q^{46} +1.22485e8 q^{47} +(1.05669e8 - 6.10080e7i) q^{48} +(1.74656e8 + 3.02513e8i) q^{49} +(1.54006e8 + 8.89153e7i) q^{50} +6.46963e6i q^{51} +(-4.54685e7 + 7.87538e7i) q^{52} +(2.53527e8 + 4.39121e8i) q^{53} -2.18285e8 q^{54} +(-3.24231e8 + 1.87195e8i) q^{55} +(4.44935e8 - 7.70651e8i) q^{56} +(-5.08975e8 + 8.81571e8i) q^{57} +(-1.38735e8 + 2.40296e8i) q^{58} -1.28573e9 q^{59} +(-1.00679e8 + 1.74382e8i) q^{60} +(8.81838e8 + 5.09129e8i) q^{61} +(1.11226e9 - 6.42165e8i) q^{62} +(6.23689e8 - 3.60087e8i) q^{63} -1.05872e9 q^{64} +3.25265e8i q^{65} +(-8.61988e8 - 1.49301e9i) q^{66} +(2.44321e8 + 4.23177e8i) q^{67} +(4.76249e6 - 8.24887e6i) q^{68} +(-2.42603e9 - 1.40067e9i) q^{69} -9.50512e8i q^{70} +(-1.62837e9 - 9.40140e8i) q^{71} +(-8.78464e8 - 5.07181e8i) q^{72} +(1.60550e9 + 9.26934e8i) q^{73} +(9.83259e8 + 1.70305e9i) q^{74} -2.17180e9i q^{75} +(1.29790e9 - 7.49344e8i) q^{76} +(-5.22585e9 - 3.01714e9i) q^{77} -1.49777e9 q^{78} +(1.36521e9 - 2.36461e9i) q^{79} +(-5.56453e8 + 3.21268e8i) q^{80} +(2.17886e9 + 3.77390e9i) q^{81} -4.80246e9i q^{82} +(2.41188e9 + 4.17750e9i) q^{83} -3.24544e9 q^{84} -3.40691e7i q^{85} +(3.17627e9 - 1.61830e9i) q^{86} +3.38867e9 q^{87} +8.49928e9i q^{88} +(3.37223e9 - 1.94696e9i) q^{89} -1.08349e9 q^{90} +(-4.54016e9 + 2.62126e9i) q^{91} +(2.06215e9 + 3.57175e9i) q^{92} +(-1.35838e10 - 7.84260e9i) q^{93} -2.97011e9i q^{94} +(2.68027e9 - 4.64236e9i) q^{95} +(3.88864e9 + 6.73533e9i) q^{96} -6.02919e9 q^{97} +(7.33556e9 - 4.23519e9i) q^{98} +(-3.43924e9 + 5.95694e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 24.2487i 0.757772i −0.925443 0.378886i \(-0.876307\pi\)
0.925443 0.378886i \(-0.123693\pi\)
\(3\) −256.468 + 148.072i −1.05542 + 0.609348i −0.924162 0.382000i \(-0.875235\pi\)
−0.131260 + 0.991348i \(0.541902\pi\)
\(4\) 436.000 0.425781
\(5\) 1350.56 779.746i 0.432179 0.249519i −0.268095 0.963392i \(-0.586394\pi\)
0.700275 + 0.713874i \(0.253061\pi\)
\(6\) 3590.55 + 6219.01i 0.461747 + 0.799770i
\(7\) 21767.9 + 12567.7i 1.29517 + 0.747765i 0.979565 0.201126i \(-0.0644602\pi\)
0.315602 + 0.948892i \(0.397794\pi\)
\(8\) 35403.1i 1.08042i
\(9\) 14325.9 24813.2i 0.242610 0.420213i
\(10\) −18907.8 32749.3i −0.189078 0.327493i
\(11\) −240072. −1.49066 −0.745328 0.666698i \(-0.767707\pi\)
−0.745328 + 0.666698i \(0.767707\pi\)
\(12\) −111820. + 64559.2i −0.449379 + 0.259449i
\(13\) −104286. + 180628.i −0.280872 + 0.486484i −0.971600 0.236631i \(-0.923957\pi\)
0.690728 + 0.723115i \(0.257290\pi\)
\(14\) 304750. 527843.i 0.566636 0.981442i
\(15\) −230916. + 399959.i −0.304088 + 0.526695i
\(16\) −412017. −0.392930
\(17\) 10923.1 18919.4i 0.00769313 0.0133249i −0.862153 0.506648i \(-0.830885\pi\)
0.869846 + 0.493323i \(0.164218\pi\)
\(18\) −601688. 347385.i −0.318426 0.183843i
\(19\) 2.97684e6 1.71868e6i 1.20223 0.694108i 0.241179 0.970481i \(-0.422466\pi\)
0.961051 + 0.276373i \(0.0891325\pi\)
\(20\) 588844. 339969.i 0.184014 0.106240i
\(21\) −7.44367e6 −1.82260
\(22\) 5.82143e6i 1.12958i
\(23\) 4.72971e6 + 8.19210e6i 0.734844 + 1.27279i 0.954792 + 0.297276i \(0.0960782\pi\)
−0.219947 + 0.975512i \(0.570588\pi\)
\(24\) 5.24220e6 + 9.07975e6i 0.658350 + 1.14030i
\(25\) −3.66680e6 + 6.35109e6i −0.375481 + 0.650352i
\(26\) 4.38000e6 + 2.52879e6i 0.368644 + 0.212837i
\(27\) 9.00193e6i 0.627360i
\(28\) 9.49079e6 + 5.47951e6i 0.551458 + 0.318384i
\(29\) −9.90965e6 5.72134e6i −0.483135 0.278938i 0.238587 0.971121i \(-0.423316\pi\)
−0.721722 + 0.692183i \(0.756649\pi\)
\(30\) 9.69849e6 + 5.59943e6i 0.399115 + 0.230429i
\(31\) 2.64824e7 + 4.58689e7i 0.925017 + 1.60218i 0.791534 + 0.611125i \(0.209283\pi\)
0.133483 + 0.991051i \(0.457384\pi\)
\(32\) 2.62619e7i 0.782666i
\(33\) 6.15706e7 3.55478e7i 1.57327 0.908328i
\(34\) −458772. 264872.i −0.0100972 0.00582964i
\(35\) 3.91984e7 0.746326
\(36\) 6.24608e6 1.08185e7i 0.103299 0.178919i
\(37\) −7.02328e7 + 4.05489e7i −1.01282 + 0.584750i −0.912015 0.410156i \(-0.865474\pi\)
−0.100802 + 0.994906i \(0.532141\pi\)
\(38\) −4.16758e7 7.21846e7i −0.525976 0.911017i
\(39\) 6.17670e7i 0.684595i
\(40\) −2.76054e7 4.78140e7i −0.269584 0.466934i
\(41\) 1.98050e8 1.70945 0.854724 0.519083i \(-0.173726\pi\)
0.854724 + 0.519083i \(0.173726\pi\)
\(42\) 1.80499e8i 1.38111i
\(43\) 6.67374e7 + 1.30987e8i 0.453970 + 0.891017i
\(44\) −1.04671e8 −0.634693
\(45\) 4.46822e7i 0.242143i
\(46\) 1.98648e8 1.14689e8i 0.964484 0.556845i
\(47\) 1.22485e8 0.534065 0.267032 0.963688i \(-0.413957\pi\)
0.267032 + 0.963688i \(0.413957\pi\)
\(48\) 1.05669e8 6.10080e7i 0.414707 0.239431i
\(49\) 1.74656e8 + 3.02513e8i 0.618306 + 1.07094i
\(50\) 1.54006e8 + 8.89153e7i 0.492819 + 0.284529i
\(51\) 6.46963e6i 0.0187512i
\(52\) −4.54685e7 + 7.87538e7i −0.119590 + 0.207136i
\(53\) 2.53527e8 + 4.39121e8i 0.606240 + 1.05004i 0.991854 + 0.127378i \(0.0406563\pi\)
−0.385614 + 0.922660i \(0.626010\pi\)
\(54\) −2.18285e8 −0.475396
\(55\) −3.24231e8 + 1.87195e8i −0.644230 + 0.371946i
\(56\) 4.44935e8 7.70651e8i 0.807899 1.39932i
\(57\) −5.08975e8 + 8.81571e8i −0.845906 + 1.46515i
\(58\) −1.38735e8 + 2.40296e8i −0.211372 + 0.366106i
\(59\) −1.28573e9 −1.79841 −0.899205 0.437529i \(-0.855854\pi\)
−0.899205 + 0.437529i \(0.855854\pi\)
\(60\) −1.00679e8 + 1.74382e8i −0.129475 + 0.224257i
\(61\) 8.81838e8 + 5.09129e8i 1.04409 + 0.602808i 0.920990 0.389586i \(-0.127382\pi\)
0.123104 + 0.992394i \(0.460715\pi\)
\(62\) 1.11226e9 6.42165e8i 1.21408 0.700952i
\(63\) 6.23689e8 3.60087e8i 0.628442 0.362831i
\(64\) −1.05872e9 −0.986013
\(65\) 3.25265e8i 0.280331i
\(66\) −8.61988e8 1.49301e9i −0.688306 1.19218i
\(67\) 2.44321e8 + 4.23177e8i 0.180962 + 0.313436i 0.942208 0.335027i \(-0.108746\pi\)
−0.761246 + 0.648463i \(0.775412\pi\)
\(68\) 4.76249e6 8.24887e6i 0.00327559 0.00567349i
\(69\) −2.42603e9 1.40067e9i −1.55114 0.895552i
\(70\) 9.50512e8i 0.565545i
\(71\) −1.62837e9 9.40140e8i −0.902529 0.521076i −0.0245094 0.999700i \(-0.507802\pi\)
−0.878020 + 0.478624i \(0.841136\pi\)
\(72\) −8.78464e8 5.07181e8i −0.454006 0.262120i
\(73\) 1.60550e9 + 9.26934e8i 0.774453 + 0.447130i 0.834461 0.551067i \(-0.185779\pi\)
−0.0600080 + 0.998198i \(0.519113\pi\)
\(74\) 9.83259e8 + 1.70305e9i 0.443108 + 0.767485i
\(75\) 2.17180e9i 0.915194i
\(76\) 1.29790e9 7.49344e8i 0.511887 0.295538i
\(77\) −5.22585e9 3.01714e9i −1.93065 1.11466i
\(78\) −1.49777e9 −0.518767
\(79\) 1.36521e9 2.36461e9i 0.443674 0.768466i −0.554285 0.832327i \(-0.687008\pi\)
0.997959 + 0.0638611i \(0.0203415\pi\)
\(80\) −5.56453e8 + 3.21268e8i −0.169816 + 0.0980433i
\(81\) 2.17886e9 + 3.77390e9i 0.624891 + 1.08234i
\(82\) 4.80246e9i 1.29537i
\(83\) 2.41188e9 + 4.17750e9i 0.612302 + 1.06054i 0.990852 + 0.134957i \(0.0430895\pi\)
−0.378550 + 0.925581i \(0.623577\pi\)
\(84\) −3.24544e9 −0.776027
\(85\) 3.40691e7i 0.00767832i
\(86\) 3.17627e9 1.61830e9i 0.675188 0.344006i
\(87\) 3.38867e9 0.679882
\(88\) 8.49928e9i 1.61053i
\(89\) 3.37223e9 1.94696e9i 0.603902 0.348663i −0.166673 0.986012i \(-0.553302\pi\)
0.770575 + 0.637349i \(0.219969\pi\)
\(90\) −1.08349e9 −0.183489
\(91\) −4.54016e9 + 2.62126e9i −0.727552 + 0.420052i
\(92\) 2.06215e9 + 3.57175e9i 0.312883 + 0.541929i
\(93\) −1.35838e10 7.84260e9i −1.95257 1.12731i
\(94\) 2.97011e9i 0.404700i
\(95\) 2.68027e9 4.64236e9i 0.346386 0.599958i
\(96\) 3.88864e9 + 6.73533e9i 0.476916 + 0.826043i
\(97\) −6.02919e9 −0.702102 −0.351051 0.936356i \(-0.614176\pi\)
−0.351051 + 0.936356i \(0.614176\pi\)
\(98\) 7.33556e9 4.23519e9i 0.811527 0.468535i
\(99\) −3.43924e9 + 5.95694e9i −0.361648 + 0.626393i
\(100\) −1.59873e9 + 2.76907e9i −0.159873 + 0.276907i
\(101\) −5.68506e9 + 9.84681e9i −0.540914 + 0.936890i 0.457938 + 0.888984i \(0.348588\pi\)
−0.998852 + 0.0479059i \(0.984745\pi\)
\(102\) 1.56880e8 0.0142091
\(103\) 4.98595e9 8.63591e9i 0.430092 0.744941i −0.566789 0.823863i \(-0.691814\pi\)
0.996881 + 0.0789218i \(0.0251477\pi\)
\(104\) 6.39480e9 + 3.69204e9i 0.525606 + 0.303459i
\(105\) −1.00531e10 + 5.80417e9i −0.787688 + 0.454772i
\(106\) 1.06481e10 6.14770e9i 0.795690 0.459392i
\(107\) −1.94827e9 −0.138909 −0.0694546 0.997585i \(-0.522126\pi\)
−0.0694546 + 0.997585i \(0.522126\pi\)
\(108\) 3.92484e9i 0.267118i
\(109\) −4.05283e9 7.01970e9i −0.263406 0.456232i 0.703739 0.710459i \(-0.251512\pi\)
−0.967145 + 0.254226i \(0.918179\pi\)
\(110\) 4.53923e9 + 7.86218e9i 0.281851 + 0.488180i
\(111\) 1.20083e10 2.07990e10i 0.712633 1.23432i
\(112\) −8.96873e9 5.17810e9i −0.508910 0.293819i
\(113\) 9.51672e9i 0.516530i 0.966074 + 0.258265i \(0.0831507\pi\)
−0.966074 + 0.258265i \(0.916849\pi\)
\(114\) 2.13770e10 + 1.23420e10i 1.11025 + 0.641005i
\(115\) 1.27755e10 + 7.37595e9i 0.635169 + 0.366715i
\(116\) −4.32061e9 2.49450e9i −0.205710 0.118767i
\(117\) 2.98797e9 + 5.17532e9i 0.136285 + 0.236052i
\(118\) 3.11772e10i 1.36278i
\(119\) 4.75548e8 2.74558e8i 0.0199278 0.0115053i
\(120\) 1.41598e10 + 8.17516e9i 0.569051 + 0.328541i
\(121\) 3.16969e10 1.22205
\(122\) 1.23457e10 2.13834e10i 0.456791 0.791186i
\(123\) −5.07934e10 + 2.93256e10i −1.80419 + 1.04165i
\(124\) 1.15463e10 + 1.99988e10i 0.393855 + 0.682176i
\(125\) 2.66661e10i 0.873795i
\(126\) −8.73164e9 1.51236e10i −0.274943 0.476216i
\(127\) 1.04646e10 0.316742 0.158371 0.987380i \(-0.449376\pi\)
0.158371 + 0.987380i \(0.449376\pi\)
\(128\) 1.21953e9i 0.0354931i
\(129\) −3.65114e10 2.37120e10i −1.02207 0.663773i
\(130\) 7.88727e9 0.212427
\(131\) 3.88758e10i 1.00768i −0.863797 0.503840i \(-0.831920\pi\)
0.863797 0.503840i \(-0.168080\pi\)
\(132\) 2.68447e10 1.54988e10i 0.669869 0.386749i
\(133\) 8.63993e10 2.07612
\(134\) 1.02615e10 5.92448e9i 0.237513 0.137128i
\(135\) −7.01922e9 1.21576e10i −0.156538 0.271132i
\(136\) −6.69808e8 3.86714e8i −0.0143965 0.00831180i
\(137\) 5.98502e10i 1.24012i −0.784555 0.620059i \(-0.787109\pi\)
0.784555 0.620059i \(-0.212891\pi\)
\(138\) −3.39645e10 + 5.88282e10i −0.678625 + 1.17541i
\(139\) 4.28358e9 + 7.41938e9i 0.0825530 + 0.142986i 0.904346 0.426800i \(-0.140359\pi\)
−0.821793 + 0.569786i \(0.807026\pi\)
\(140\) 1.70905e10 0.317771
\(141\) −3.14134e10 + 1.81366e10i −0.563664 + 0.325431i
\(142\) −2.27972e10 + 3.94859e10i −0.394857 + 0.683912i
\(143\) 2.50360e10 4.33637e10i 0.418683 0.725180i
\(144\) −5.90251e9 + 1.02234e10i −0.0953288 + 0.165114i
\(145\) −1.78448e10 −0.278401
\(146\) 2.24769e10 3.89312e10i 0.338823 0.586859i
\(147\) −8.95872e10 5.17232e10i −1.30515 0.753527i
\(148\) −3.06215e10 + 1.76793e10i −0.431238 + 0.248976i
\(149\) 8.31409e9 4.80014e9i 0.113210 0.0653616i −0.442326 0.896854i \(-0.645847\pi\)
0.555536 + 0.831493i \(0.312513\pi\)
\(150\) −5.26633e10 −0.693509
\(151\) 3.91022e9i 0.0498099i −0.999690 0.0249050i \(-0.992072\pi\)
0.999690 0.0249050i \(-0.00792832\pi\)
\(152\) −6.08466e10 1.05389e11i −0.749926 1.29891i
\(153\) −3.12968e8 5.42076e8i −0.00373287 0.00646551i
\(154\) −7.31619e10 + 1.26720e11i −0.844659 + 1.46299i
\(155\) 7.15322e10 + 4.12992e10i 0.799546 + 0.461618i
\(156\) 2.69304e10i 0.291487i
\(157\) −6.95731e10 4.01680e10i −0.729362 0.421097i 0.0888268 0.996047i \(-0.471688\pi\)
−0.818189 + 0.574950i \(0.805022\pi\)
\(158\) −5.73388e10 3.31046e10i −0.582322 0.336204i
\(159\) −1.30043e11 7.50803e10i −1.27968 0.738822i
\(160\) −2.04776e10 3.54683e10i −0.195290 0.338252i
\(161\) 2.37766e11i 2.19796i
\(162\) 9.15121e10 5.28345e10i 0.820169 0.473525i
\(163\) −7.41889e10 4.28330e10i −0.644764 0.372255i 0.141683 0.989912i \(-0.454749\pi\)
−0.786447 + 0.617657i \(0.788082\pi\)
\(164\) 8.63498e10 0.727850
\(165\) 5.54365e10 9.60188e10i 0.453290 0.785121i
\(166\) 1.01299e11 5.84850e10i 0.803646 0.463985i
\(167\) −3.95454e10 6.84946e10i −0.304448 0.527320i 0.672690 0.739924i \(-0.265139\pi\)
−0.977138 + 0.212604i \(0.931805\pi\)
\(168\) 2.63529e11i 1.96917i
\(169\) 4.71782e10 + 8.17151e10i 0.342222 + 0.592746i
\(170\) −8.26133e8 −0.00581842
\(171\) 9.84865e10i 0.673591i
\(172\) 2.90975e10 + 5.71103e10i 0.193292 + 0.379378i
\(173\) −1.42702e11 −0.920872 −0.460436 0.887693i \(-0.652307\pi\)
−0.460436 + 0.887693i \(0.652307\pi\)
\(174\) 8.21710e10i 0.515196i
\(175\) −1.59637e11 + 9.21665e10i −0.972621 + 0.561543i
\(176\) 9.89135e10 0.585723
\(177\) 3.29747e11 1.90380e11i 1.89808 1.09586i
\(178\) −4.72112e10 8.17721e10i −0.264207 0.457620i
\(179\) −1.27420e11 7.35659e10i −0.693381 0.400324i 0.111497 0.993765i \(-0.464436\pi\)
−0.804877 + 0.593441i \(0.797769\pi\)
\(180\) 1.94814e10i 0.103100i
\(181\) −1.70697e11 + 2.95656e11i −0.878686 + 1.52193i −0.0259019 + 0.999664i \(0.508246\pi\)
−0.852784 + 0.522264i \(0.825088\pi\)
\(182\) 6.35622e10 + 1.10093e11i 0.318304 + 0.551319i
\(183\) −3.01550e11 −1.46928
\(184\) 2.90026e11 1.67447e11i 1.37514 0.793939i
\(185\) −6.32357e10 + 1.09527e11i −0.291812 + 0.505434i
\(186\) −1.90173e11 + 3.29389e11i −0.854248 + 1.47960i
\(187\) −2.62234e9 + 4.54202e9i −0.0114678 + 0.0198628i
\(188\) 5.34035e10 0.227395
\(189\) 1.13133e11 1.95953e11i 0.469118 0.812536i
\(190\) −1.12571e11 6.49930e10i −0.454631 0.262482i
\(191\) −3.59300e10 + 2.07442e10i −0.141348 + 0.0816074i −0.569006 0.822333i \(-0.692672\pi\)
0.427658 + 0.903941i \(0.359339\pi\)
\(192\) 2.71528e11 1.56767e11i 1.04066 0.600825i
\(193\) 4.17612e11 1.55951 0.779753 0.626088i \(-0.215345\pi\)
0.779753 + 0.626088i \(0.215345\pi\)
\(194\) 1.46200e11i 0.532034i
\(195\) −4.81626e10 8.34200e10i −0.170819 0.295867i
\(196\) 7.61500e10 + 1.31896e11i 0.263263 + 0.455985i
\(197\) 2.22596e11 3.85548e11i 0.750217 1.29941i −0.197501 0.980303i \(-0.563282\pi\)
0.947717 0.319111i \(-0.103384\pi\)
\(198\) 1.44448e11 + 8.33971e10i 0.474663 + 0.274047i
\(199\) 1.69404e11i 0.542824i −0.962463 0.271412i \(-0.912509\pi\)
0.962463 0.271412i \(-0.0874905\pi\)
\(200\) 2.24848e11 + 1.29816e11i 0.702652 + 0.405676i
\(201\) −1.25321e11 7.23541e10i −0.381983 0.220538i
\(202\) 2.38772e11 + 1.37855e11i 0.709949 + 0.409889i
\(203\) −1.43808e11 2.49083e11i −0.417160 0.722543i
\(204\) 2.82076e9i 0.00798390i
\(205\) 2.67478e11 1.54429e11i 0.738787 0.426539i
\(206\) −2.09410e11 1.20903e11i −0.564496 0.325912i
\(207\) 2.71029e11 0.713123
\(208\) 4.29674e10 7.44218e10i 0.110363 0.191154i
\(209\) −7.14655e11 + 4.12606e11i −1.79211 + 1.03468i
\(210\) 1.40744e11 + 2.43775e11i 0.344614 + 0.596889i
\(211\) 4.89899e11i 1.17137i −0.810539 0.585685i \(-0.800826\pi\)
0.810539 0.585685i \(-0.199174\pi\)
\(212\) 1.10538e11 + 1.91457e11i 0.258125 + 0.447086i
\(213\) 5.56832e11 1.27007
\(214\) 4.72432e10i 0.105262i
\(215\) 1.92269e11 + 1.24868e11i 0.418522 + 0.271805i
\(216\) −3.18696e11 −0.677811
\(217\) 1.33129e12i 2.76678i
\(218\) −1.70219e11 + 9.82758e10i −0.345720 + 0.199602i
\(219\) −5.49010e11 −1.08983
\(220\) −1.41365e11 + 8.16169e10i −0.274301 + 0.158368i
\(221\) 2.27826e9 + 3.94606e9i 0.00432157 + 0.00748517i
\(222\) −5.04348e11 2.91185e11i −0.935331 0.540014i
\(223\) 2.96344e11i 0.537367i −0.963228 0.268684i \(-0.913411\pi\)
0.963228 0.268684i \(-0.0865886\pi\)
\(224\) 3.30052e11 5.71666e11i 0.585251 1.01368i
\(225\) 1.05060e11 + 1.81970e11i 0.182191 + 0.315564i
\(226\) 2.30768e11 0.391412
\(227\) −1.66174e11 + 9.59404e10i −0.275698 + 0.159174i −0.631474 0.775397i \(-0.717550\pi\)
0.355777 + 0.934571i \(0.384216\pi\)
\(228\) −2.21913e11 + 3.84365e11i −0.360171 + 0.623834i
\(229\) −4.80011e11 + 8.31404e11i −0.762209 + 1.32018i 0.179501 + 0.983758i \(0.442552\pi\)
−0.941710 + 0.336426i \(0.890782\pi\)
\(230\) 1.78857e11 3.09790e11i 0.277886 0.481313i
\(231\) 1.78701e12 2.71686
\(232\) −2.02553e11 + 3.50833e11i −0.301370 + 0.521987i
\(233\) −4.09041e11 2.36160e11i −0.595644 0.343895i 0.171682 0.985152i \(-0.445080\pi\)
−0.767326 + 0.641257i \(0.778413\pi\)
\(234\) 1.25495e11 7.24545e10i 0.178874 0.103273i
\(235\) 1.65423e11 9.55072e10i 0.230812 0.133259i
\(236\) −5.60576e11 −0.765728
\(237\) 8.08595e11i 1.08141i
\(238\) −6.65767e9 1.15314e10i −0.00871841 0.0151007i
\(239\) 1.55109e11 + 2.68657e11i 0.198906 + 0.344515i 0.948174 0.317752i \(-0.102928\pi\)
−0.749268 + 0.662267i \(0.769594\pi\)
\(240\) 9.51414e10 1.64790e11i 0.119485 0.206954i
\(241\) −6.32728e11 3.65306e11i −0.778273 0.449336i 0.0575449 0.998343i \(-0.481673\pi\)
−0.835818 + 0.549007i \(0.815006\pi\)
\(242\) 7.68610e11i 0.926039i
\(243\) −6.57273e11 3.79477e11i −0.775737 0.447872i
\(244\) 3.84481e11 + 2.21980e11i 0.444555 + 0.256664i
\(245\) 4.71767e11 + 2.72375e11i 0.534438 + 0.308558i
\(246\) 7.11108e11 + 1.23168e12i 0.789333 + 1.36716i
\(247\) 7.16935e11i 0.779821i
\(248\) 1.62390e12 9.37561e11i 1.73102 0.999404i
\(249\) −1.23714e12 7.14262e11i −1.29247 0.746210i
\(250\) 6.46619e11 0.662138
\(251\) −1.01386e11 + 1.75607e11i −0.101768 + 0.176267i −0.912413 0.409270i \(-0.865783\pi\)
0.810645 + 0.585538i \(0.199117\pi\)
\(252\) 2.71928e11 1.56998e11i 0.267578 0.154487i
\(253\) −1.13547e12 1.96669e12i −1.09540 1.89729i
\(254\) 2.53754e11i 0.240018i
\(255\) 5.04467e9 + 8.73762e9i 0.00467877 + 0.00810387i
\(256\) −1.11370e12 −1.01291
\(257\) 1.44388e12i 1.28785i −0.765090 0.643923i \(-0.777306\pi\)
0.765090 0.643923i \(-0.222694\pi\)
\(258\) −5.74986e11 + 8.85356e11i −0.502989 + 0.774496i
\(259\) −2.03842e12 −1.74902
\(260\) 1.41816e11i 0.119360i
\(261\) −2.83929e11 + 1.63927e11i −0.234427 + 0.135346i
\(262\) −9.42688e11 −0.763592
\(263\) 2.96697e11 1.71298e11i 0.235795 0.136136i −0.377448 0.926031i \(-0.623198\pi\)
0.613242 + 0.789895i \(0.289865\pi\)
\(264\) −1.25850e12 2.17979e12i −0.981374 1.69979i
\(265\) 6.84806e11 + 3.95373e11i 0.524009 + 0.302536i
\(266\) 2.09507e12i 1.57323i
\(267\) −5.76577e11 + 9.98661e11i −0.424914 + 0.735973i
\(268\) 1.06524e11 + 1.84505e11i 0.0770502 + 0.133455i
\(269\) −1.24656e11 −0.0885020 −0.0442510 0.999020i \(-0.514090\pi\)
−0.0442510 + 0.999020i \(0.514090\pi\)
\(270\) −2.94807e11 + 1.70207e11i −0.205456 + 0.118620i
\(271\) −2.28803e10 + 3.96298e10i −0.0156536 + 0.0271129i −0.873746 0.486382i \(-0.838316\pi\)
0.858092 + 0.513495i \(0.171650\pi\)
\(272\) −4.50052e9 + 7.79513e9i −0.00302286 + 0.00523575i
\(273\) 7.76268e11 1.34454e12i 0.511916 0.886665i
\(274\) −1.45129e12 −0.939727
\(275\) 8.80296e11 1.52472e12i 0.559713 0.969451i
\(276\) −1.05775e12 6.10692e11i −0.660447 0.381309i
\(277\) 1.09618e12 6.32879e11i 0.672176 0.388081i −0.124725 0.992191i \(-0.539805\pi\)
0.796901 + 0.604111i \(0.206471\pi\)
\(278\) 1.79910e11 1.03871e11i 0.108351 0.0625564i
\(279\) 1.51754e12 0.897674
\(280\) 1.38775e12i 0.806343i
\(281\) 6.15373e11 + 1.06586e12i 0.351242 + 0.608369i 0.986467 0.163958i \(-0.0524261\pi\)
−0.635225 + 0.772327i \(0.719093\pi\)
\(282\) 4.39788e11 + 7.61736e11i 0.246603 + 0.427129i
\(283\) −1.13763e12 + 1.97043e12i −0.626712 + 1.08550i 0.361496 + 0.932374i \(0.382266\pi\)
−0.988207 + 0.153123i \(0.951067\pi\)
\(284\) −7.09969e11 4.09901e11i −0.384280 0.221864i
\(285\) 1.58749e12i 0.844278i
\(286\) −1.05151e12 6.07092e11i −0.549521 0.317266i
\(287\) 4.31113e12 + 2.48903e12i 2.21402 + 1.27827i
\(288\) −6.51642e11 3.76225e11i −0.328887 0.189883i
\(289\) 1.00776e12 + 1.74549e12i 0.499882 + 0.865820i
\(290\) 4.32713e11i 0.210965i
\(291\) 1.54629e12 8.92752e11i 0.741014 0.427825i
\(292\) 6.99996e11 + 4.04143e11i 0.329747 + 0.190380i
\(293\) 2.20307e12 1.02021 0.510106 0.860112i \(-0.329606\pi\)
0.510106 + 0.860112i \(0.329606\pi\)
\(294\) −1.25422e12 + 2.17238e12i −0.571002 + 0.989004i
\(295\) −1.73645e12 + 1.00254e12i −0.777235 + 0.448737i
\(296\) 1.43556e12 + 2.48646e12i 0.631775 + 1.09427i
\(297\) 2.16111e12i 0.935177i
\(298\) −1.16397e11 2.01606e11i −0.0495292 0.0857871i
\(299\) −1.97296e12 −0.825588
\(300\) 9.46903e11i 0.389672i
\(301\) −1.93472e11 + 3.69004e12i −0.0783043 + 1.49348i
\(302\) −9.48177e10 −0.0377446
\(303\) 3.36718e12i 1.31842i
\(304\) −1.22651e12 + 7.08125e11i −0.472392 + 0.272736i
\(305\) 1.58797e12 0.601648
\(306\) −1.31446e10 + 7.58907e9i −0.00489939 + 0.00282866i
\(307\) −2.56779e12 4.44754e12i −0.941601 1.63090i −0.762417 0.647086i \(-0.775987\pi\)
−0.179184 0.983816i \(-0.557346\pi\)
\(308\) −2.27847e12 1.31547e12i −0.822033 0.474601i
\(309\) 2.95311e12i 1.04830i
\(310\) 1.00145e12 1.73457e12i 0.349801 0.605874i
\(311\) 3.14578e11 + 5.44866e11i 0.108125 + 0.187278i 0.915011 0.403429i \(-0.132182\pi\)
−0.806886 + 0.590708i \(0.798849\pi\)
\(312\) −2.18674e12 −0.739648
\(313\) 2.22620e12 1.28530e12i 0.741042 0.427841i −0.0814062 0.996681i \(-0.525941\pi\)
0.822448 + 0.568840i \(0.192608\pi\)
\(314\) −9.74024e11 + 1.68706e12i −0.319096 + 0.552690i
\(315\) 5.61552e11 9.72637e11i 0.181066 0.313616i
\(316\) 5.95231e11 1.03097e12i 0.188908 0.327198i
\(317\) 4.15218e12 1.29712 0.648560 0.761163i \(-0.275371\pi\)
0.648560 + 0.761163i \(0.275371\pi\)
\(318\) −1.82060e12 + 3.15337e12i −0.559859 + 0.969705i
\(319\) 2.37903e12 + 1.37353e12i 0.720188 + 0.415801i
\(320\) −1.42987e12 + 8.25535e11i −0.426134 + 0.246029i
\(321\) 4.99669e11 2.88484e11i 0.146608 0.0846441i
\(322\) 5.76553e12 1.66556
\(323\) 7.50936e10i 0.0213595i
\(324\) 9.49982e11 + 1.64542e12i 0.266067 + 0.460841i
\(325\) −7.64791e11 1.32466e12i −0.210924 0.365331i
\(326\) −1.03864e12 + 1.79898e12i −0.282084 + 0.488584i
\(327\) 2.07884e12 + 1.20022e12i 0.556009 + 0.321012i
\(328\) 7.01159e12i 1.84692i
\(329\) 2.66624e12 + 1.53935e12i 0.691703 + 0.399355i
\(330\) −2.32833e12 1.34426e12i −0.594943 0.343490i
\(331\) −1.45715e12 8.41285e11i −0.366745 0.211740i 0.305291 0.952259i \(-0.401246\pi\)
−0.672035 + 0.740519i \(0.734580\pi\)
\(332\) 1.05158e12 + 1.82139e12i 0.260706 + 0.451557i
\(333\) 2.32360e12i 0.567466i
\(334\) −1.66091e12 + 9.58925e11i −0.399589 + 0.230703i
\(335\) 6.59941e11 + 3.81017e11i 0.156416 + 0.0903069i
\(336\) 3.06692e12 0.716153
\(337\) −4.45806e11 + 7.72159e11i −0.102564 + 0.177647i −0.912740 0.408540i \(-0.866038\pi\)
0.810176 + 0.586187i \(0.199371\pi\)
\(338\) 1.98149e12 1.14401e12i 0.449167 0.259327i
\(339\) −1.40916e12 2.44073e12i −0.314746 0.545157i
\(340\) 1.48541e10i 0.00326928i
\(341\) −6.35768e12 1.10118e13i −1.37888 2.38829i
\(342\) −2.38817e12 −0.510428
\(343\) 1.67997e12i 0.353860i
\(344\) 4.63735e12 2.36271e12i 0.962670 0.490477i
\(345\) −4.36867e12 −0.893828
\(346\) 3.46034e12i 0.697811i
\(347\) 6.77452e12 3.91127e12i 1.34658 0.777446i 0.358814 0.933409i \(-0.383181\pi\)
0.987763 + 0.155963i \(0.0498481\pi\)
\(348\) 1.47746e12 0.289481
\(349\) 1.86794e12 1.07845e12i 0.360774 0.208293i −0.308646 0.951177i \(-0.599876\pi\)
0.669420 + 0.742884i \(0.266543\pi\)
\(350\) 2.23492e12 + 3.87100e12i 0.425522 + 0.737025i
\(351\) 1.62600e12 + 9.38772e11i 0.305201 + 0.176208i
\(352\) 6.30474e12i 1.16669i
\(353\) −1.51065e12 + 2.61652e12i −0.275607 + 0.477365i −0.970288 0.241953i \(-0.922212\pi\)
0.694681 + 0.719318i \(0.255545\pi\)
\(354\) −4.61646e12 7.99594e12i −0.830410 1.43831i
\(355\) −2.93228e12 −0.520072
\(356\) 1.47029e12 8.48872e11i 0.257130 0.148454i
\(357\) −8.13083e10 + 1.40830e11i −0.0140215 + 0.0242859i
\(358\) −1.78388e12 + 3.08977e12i −0.303354 + 0.525425i
\(359\) −7.28440e11 + 1.26169e12i −0.122158 + 0.211584i −0.920618 0.390464i \(-0.872315\pi\)
0.798461 + 0.602047i \(0.205648\pi\)
\(360\) −1.58189e12 −0.261616
\(361\) 2.84219e12 4.92281e12i 0.463571 0.802929i
\(362\) 7.16929e12 + 4.13919e12i 1.15328 + 0.665844i
\(363\) −8.12923e12 + 4.69341e12i −1.28978 + 0.744656i
\(364\) −1.97951e12 + 1.14287e12i −0.309778 + 0.178850i
\(365\) 2.89109e12 0.446270
\(366\) 7.31221e12i 1.11338i
\(367\) −2.38790e12 4.13597e12i −0.358663 0.621222i 0.629075 0.777345i \(-0.283434\pi\)
−0.987738 + 0.156123i \(0.950100\pi\)
\(368\) −1.94872e12 3.37528e12i −0.288742 0.500116i
\(369\) 2.83724e12 4.91425e12i 0.414729 0.718333i
\(370\) 2.65590e12 + 1.53338e12i 0.383004 + 0.221127i
\(371\) 1.27450e13i 1.81330i
\(372\) −5.92252e12 3.41937e12i −0.831365 0.479989i
\(373\) 8.29684e12 + 4.79018e12i 1.14913 + 0.663449i 0.948675 0.316254i \(-0.102425\pi\)
0.200453 + 0.979703i \(0.435759\pi\)
\(374\) 1.10138e11 + 6.35883e10i 0.0150515 + 0.00868999i
\(375\) −3.94849e12 6.83899e12i −0.532446 0.922223i
\(376\) 4.33635e12i 0.577013i
\(377\) 2.06687e12 1.19331e12i 0.271398 0.156692i
\(378\) −4.75161e12 2.74334e12i −0.615717 0.355485i
\(379\) −9.25826e12 −1.18395 −0.591975 0.805956i \(-0.701652\pi\)
−0.591975 + 0.805956i \(0.701652\pi\)
\(380\) 1.16860e12 2.02407e12i 0.147484 0.255451i
\(381\) −2.68384e12 + 1.54952e12i −0.334297 + 0.193006i
\(382\) 5.03020e11 + 8.71256e11i 0.0618398 + 0.107110i
\(383\) 3.67417e12i 0.445826i −0.974838 0.222913i \(-0.928443\pi\)
0.974838 0.222913i \(-0.0715565\pi\)
\(384\) 1.80578e11 + 3.12770e11i 0.0216276 + 0.0374602i
\(385\) −9.41043e12 −1.11251
\(386\) 1.01266e13i 1.18175i
\(387\) 4.20628e12 + 2.20538e11i 0.484555 + 0.0254056i
\(388\) −2.62873e12 −0.298942
\(389\) 9.20672e10i 0.0103361i −0.999987 0.00516805i \(-0.998355\pi\)
0.999987 0.00516805i \(-0.00164505\pi\)
\(390\) −2.02283e12 + 1.16788e12i −0.224200 + 0.129442i
\(391\) 2.06653e11 0.0226130
\(392\) 1.07099e13 6.18337e12i 1.15706 0.668028i
\(393\) 5.75640e12 + 9.97038e12i 0.614028 + 1.06353i
\(394\) −9.34905e12 5.39767e12i −0.984660 0.568494i
\(395\) 4.25807e12i 0.442820i
\(396\) −1.49951e12 + 2.59722e12i −0.153983 + 0.266706i
\(397\) −5.91969e12 1.02532e13i −0.600270 1.03970i −0.992780 0.119950i \(-0.961727\pi\)
0.392510 0.919748i \(-0.371607\pi\)
\(398\) −4.10783e12 −0.411337
\(399\) −2.21586e13 + 1.27933e13i −2.19118 + 1.26508i
\(400\) 1.51078e12 2.61676e12i 0.147538 0.255543i
\(401\) 2.38848e12 4.13697e12i 0.230356 0.398989i −0.727557 0.686047i \(-0.759344\pi\)
0.957913 + 0.287059i \(0.0926775\pi\)
\(402\) −1.75450e12 + 3.03887e12i −0.167117 + 0.289456i
\(403\) −1.10470e13 −1.03924
\(404\) −2.47868e12 + 4.29320e12i −0.230311 + 0.398910i
\(405\) 5.88536e12 + 3.39791e12i 0.540129 + 0.311844i
\(406\) −6.03994e12 + 3.48716e12i −0.547523 + 0.316113i
\(407\) 1.68609e13 9.73464e12i 1.50976 0.871661i
\(408\) 2.29045e11 0.0202591
\(409\) 5.40777e12i 0.472500i 0.971692 + 0.236250i \(0.0759184\pi\)
−0.971692 + 0.236250i \(0.924082\pi\)
\(410\) −3.74470e12 6.48601e12i −0.323220 0.559833i
\(411\) 8.86212e12 + 1.53496e13i 0.755664 + 1.30885i
\(412\) 2.17387e12 3.76525e12i 0.183125 0.317182i
\(413\) −2.79875e13 1.61586e13i −2.32924 1.34479i
\(414\) 6.57211e12i 0.540385i
\(415\) 6.51478e12 + 3.76131e12i 0.529248 + 0.305561i
\(416\) 4.74364e12 + 2.73874e12i 0.380755 + 0.219829i
\(417\) −2.19720e12 1.26855e12i −0.174257 0.100607i
\(418\) 1.00052e13 + 1.73295e13i 0.784049 + 1.35801i
\(419\) 3.40701e12i 0.263817i −0.991262 0.131909i \(-0.957889\pi\)
0.991262 0.131909i \(-0.0421105\pi\)
\(420\) −4.38316e12 + 2.53062e12i −0.335383 + 0.193633i
\(421\) −6.80372e12 3.92813e12i −0.514441 0.297013i 0.220216 0.975451i \(-0.429324\pi\)
−0.734657 + 0.678438i \(0.762657\pi\)
\(422\) −1.18794e13 −0.887632
\(423\) 1.75471e12 3.03924e12i 0.129570 0.224421i
\(424\) 1.55463e13 8.97564e12i 1.13448 0.654992i
\(425\) 8.01061e10 + 1.38748e11i 0.00577725 + 0.0100065i
\(426\) 1.35025e13i 0.962421i
\(427\) 1.27972e13 + 2.21653e13i 0.901518 + 1.56147i
\(428\) −8.49447e11 −0.0591449
\(429\) 1.48285e13i 1.02049i
\(430\) 3.02788e12 4.66229e12i 0.205966 0.317144i
\(431\) 1.16004e13 0.779987 0.389993 0.920818i \(-0.372477\pi\)
0.389993 + 0.920818i \(0.372477\pi\)
\(432\) 3.70894e12i 0.246508i
\(433\) 1.17971e13 6.81108e12i 0.775063 0.447483i −0.0596148 0.998221i \(-0.518987\pi\)
0.834678 + 0.550739i \(0.185654\pi\)
\(434\) 3.22821e13 2.09659
\(435\) 4.57660e12 2.64230e12i 0.293831 0.169643i
\(436\) −1.76703e12 3.06059e12i −0.112153 0.194255i
\(437\) 2.81592e13 + 1.62577e13i 1.76690 + 1.02012i
\(438\) 1.33128e13i 0.825845i
\(439\) 4.95987e12 8.59075e12i 0.304192 0.526876i −0.672889 0.739743i \(-0.734947\pi\)
0.977081 + 0.212867i \(0.0682803\pi\)
\(440\) 6.62728e12 + 1.14788e13i 0.401857 + 0.696037i
\(441\) 1.00084e13 0.600029
\(442\) 9.56868e10 5.52448e10i 0.00567206 0.00327476i
\(443\) 9.60346e12 1.66337e13i 0.562872 0.974922i −0.434373 0.900733i \(-0.643030\pi\)
0.997244 0.0741888i \(-0.0236367\pi\)
\(444\) 5.23561e12 9.06834e12i 0.303426 0.525549i
\(445\) 3.03626e12 5.25896e12i 0.173996 0.301370i
\(446\) −7.18595e12 −0.407202
\(447\) −1.42153e12 + 2.46216e12i −0.0796559 + 0.137968i
\(448\) −2.30462e13 1.33057e13i −1.27705 0.737306i
\(449\) −2.47315e13 + 1.42787e13i −1.35525 + 0.782453i −0.988979 0.148055i \(-0.952699\pi\)
−0.366270 + 0.930509i \(0.619365\pi\)
\(450\) 4.41254e12 2.54758e12i 0.239126 0.138059i
\(451\) −4.75462e13 −2.54820
\(452\) 4.14929e12i 0.219928i
\(453\) 5.78992e11 + 1.00284e12i 0.0303516 + 0.0525705i
\(454\) 2.32643e12 + 4.02950e12i 0.120618 + 0.208916i
\(455\) −4.08783e12 + 7.08034e12i −0.209622 + 0.363076i
\(456\) 3.12104e13 + 1.80193e13i 1.58298 + 0.913932i
\(457\) 1.76018e13i 0.883032i −0.897253 0.441516i \(-0.854441\pi\)
0.897253 0.441516i \(-0.145559\pi\)
\(458\) 2.01605e13 + 1.16397e13i 1.00040 + 0.577581i
\(459\) −1.70312e11 9.83294e10i −0.00835951 0.00482636i
\(460\) 5.57012e12 + 3.21591e12i 0.270443 + 0.156140i
\(461\) 1.53871e13 + 2.66513e13i 0.739014 + 1.28001i 0.952940 + 0.303160i \(0.0980417\pi\)
−0.213925 + 0.976850i \(0.568625\pi\)
\(462\) 4.33328e13i 2.05877i
\(463\) −2.96644e13 + 1.71267e13i −1.39422 + 0.804952i −0.993779 0.111372i \(-0.964476\pi\)
−0.400439 + 0.916324i \(0.631142\pi\)
\(464\) 4.08294e12 + 2.35729e12i 0.189838 + 0.109603i
\(465\) −2.44609e13 −1.12514
\(466\) −5.72657e12 + 9.91872e12i −0.260594 + 0.451363i
\(467\) 1.39636e13 8.06186e12i 0.628654 0.362953i −0.151577 0.988445i \(-0.548435\pi\)
0.780230 + 0.625492i \(0.215102\pi\)
\(468\) 1.30275e12 + 2.25644e12i 0.0580274 + 0.100506i
\(469\) 1.22822e13i 0.541269i
\(470\) −2.31593e12 4.01131e12i −0.100980 0.174903i
\(471\) 2.37910e13 1.02638
\(472\) 4.55187e13i 1.94303i
\(473\) −1.60218e13 3.14463e13i −0.676713 1.32820i
\(474\) 1.96074e13 0.819461
\(475\) 2.52082e13i 1.04250i
\(476\) 2.07339e11 1.19707e11i 0.00848487 0.00489874i
\(477\) 1.45280e13 0.588320
\(478\) 6.51459e12 3.76120e12i 0.261064 0.150725i
\(479\) −1.65419e13 2.86515e13i −0.656007 1.13624i −0.981640 0.190742i \(-0.938911\pi\)
0.325633 0.945496i \(-0.394423\pi\)
\(480\) 1.05037e13 + 6.06431e12i 0.412226 + 0.237999i
\(481\) 1.69147e13i 0.656959i
\(482\) −8.85820e12 + 1.53428e13i −0.340494 + 0.589754i
\(483\) −3.52064e13 6.09793e13i −1.33933 2.31978i
\(484\) 1.38198e13 0.520327
\(485\) −8.14278e12 + 4.70124e12i −0.303434 + 0.175188i
\(486\) −9.20183e12 + 1.59380e13i −0.339385 + 0.587832i
\(487\) −4.02778e12 + 6.97632e12i −0.147035 + 0.254672i −0.930130 0.367230i \(-0.880306\pi\)
0.783095 + 0.621902i \(0.213640\pi\)
\(488\) 1.80248e13 3.12198e13i 0.651284 1.12806i
\(489\) 2.53694e13 0.907331
\(490\) 6.60474e12 1.14397e13i 0.233817 0.404982i
\(491\) 1.44714e13 + 8.35508e12i 0.507112 + 0.292781i 0.731646 0.681685i \(-0.238753\pi\)
−0.224534 + 0.974466i \(0.572086\pi\)
\(492\) −2.21459e13 + 1.27859e13i −0.768189 + 0.443514i
\(493\) −2.16489e11 + 1.24990e11i −0.00743364 + 0.00429182i
\(494\) 1.73847e13 0.590927
\(495\) 1.07269e13i 0.360952i
\(496\) −1.09112e13 1.88988e13i −0.363467 0.629543i
\(497\) −2.36308e13 4.09297e13i −0.779284 1.34976i
\(498\) −1.73199e13 + 2.99990e13i −0.565457 + 0.979400i
\(499\) 2.93767e11 + 1.69606e11i 0.00949511 + 0.00548200i 0.504740 0.863271i \(-0.331588\pi\)
−0.495245 + 0.868753i \(0.664922\pi\)
\(500\) 1.16264e13i 0.372045i
\(501\) 2.02842e13 + 1.17111e13i 0.642643 + 0.371030i
\(502\) 4.25823e12 + 2.45849e12i 0.133571 + 0.0771170i
\(503\) −2.86717e13 1.65536e13i −0.890457 0.514106i −0.0163651 0.999866i \(-0.505209\pi\)
−0.874092 + 0.485760i \(0.838543\pi\)
\(504\) −1.27482e13 2.20805e13i −0.392009 0.678979i
\(505\) 1.77316e13i 0.539872i
\(506\) −4.76897e13 + 2.75337e13i −1.43771 + 0.830064i
\(507\) −2.41994e13 1.39715e13i −0.722378 0.417065i
\(508\) 4.56258e12 0.134863
\(509\) −2.43779e12 + 4.22238e12i −0.0713522 + 0.123586i −0.899494 0.436933i \(-0.856065\pi\)
0.828142 + 0.560518i \(0.189398\pi\)
\(510\) 2.11876e11 1.22327e11i 0.00614089 0.00354544i
\(511\) 2.32988e13 + 4.03548e13i 0.668697 + 1.15822i
\(512\) 2.57571e13i 0.732061i
\(513\) −1.54714e13 2.67973e13i −0.435455 0.754231i
\(514\) −3.50121e13 −0.975895
\(515\) 1.55511e13i 0.429264i
\(516\) −1.59190e13 1.03384e13i −0.435178 0.282622i
\(517\) −2.94052e13 −0.796106
\(518\) 4.94292e13i 1.32536i
\(519\) 3.65984e13 2.11301e13i 0.971908 0.561132i
\(520\) 1.15154e13 0.302874
\(521\) 9.29221e10 5.36486e10i 0.00242064 0.00139756i −0.498789 0.866723i \(-0.666222\pi\)
0.501210 + 0.865326i \(0.332888\pi\)
\(522\) 3.97501e12 + 6.88492e12i 0.102562 + 0.177642i
\(523\) 4.63650e13 + 2.67688e13i 1.18490 + 0.684102i 0.957143 0.289616i \(-0.0935274\pi\)
0.227757 + 0.973718i \(0.426861\pi\)
\(524\) 1.69498e13i 0.429051i
\(525\) 2.72945e13 4.72754e13i 0.684350 1.18533i
\(526\) −4.15375e12 7.19451e12i −0.103160 0.178679i
\(527\) 1.15709e12 0.0284651
\(528\) −2.53681e13 + 1.46463e13i −0.618185 + 0.356909i
\(529\) −2.40271e13 + 4.16161e13i −0.579993 + 1.00458i
\(530\) 9.58729e12 1.66057e13i 0.229254 0.397079i
\(531\) −1.84192e13 + 3.19029e13i −0.436312 + 0.755715i
\(532\) 3.76701e13 0.883972
\(533\) −2.06538e13 + 3.57734e13i −0.480135 + 0.831619i
\(534\) 2.42163e13 + 1.39813e13i 0.557700 + 0.321988i
\(535\) −2.63126e12 + 1.51916e12i −0.0600337 + 0.0346605i
\(536\) 1.49818e13 8.64974e12i 0.338641 0.195515i
\(537\) 4.35721e13 0.975746
\(538\) 3.02276e12i 0.0670644i
\(539\) −4.19300e13 7.26248e13i −0.921681 1.59640i
\(540\) −3.06038e12 5.30073e12i −0.0666509 0.115443i
\(541\) 1.34356e13 2.32711e13i 0.289914 0.502146i −0.683875 0.729599i \(-0.739707\pi\)
0.973789 + 0.227453i \(0.0730399\pi\)
\(542\) 9.60972e11 + 5.54817e11i 0.0205454 + 0.0118619i
\(543\) 1.01102e14i 2.14170i
\(544\) −4.96861e11 2.86863e11i −0.0104289 0.00602116i
\(545\) −1.09472e13 6.32035e12i −0.227677 0.131449i
\(546\) −3.26033e13 1.88235e13i −0.671890 0.387916i
\(547\) −1.93392e13 3.34965e13i −0.394913 0.684010i 0.598177 0.801364i \(-0.295892\pi\)
−0.993090 + 0.117354i \(0.962559\pi\)
\(548\) 2.60947e13i 0.528019i
\(549\) 2.52662e13 1.45875e13i 0.506616 0.292495i
\(550\) −3.69724e13 2.13460e13i −0.734623 0.424135i
\(551\) −3.93326e13 −0.774452
\(552\) −4.95881e13 + 8.58892e13i −0.967570 + 1.67588i
\(553\) 5.94355e13 3.43151e13i 1.14926 0.663528i
\(554\) −1.53465e13 2.65809e13i −0.294077 0.509356i
\(555\) 3.74536e13i 0.711261i
\(556\) 1.86764e12 + 3.23485e12i 0.0351495 + 0.0608807i
\(557\) −4.25801e13 −0.794201 −0.397101 0.917775i \(-0.629984\pi\)
−0.397101 + 0.917775i \(0.629984\pi\)
\(558\) 3.67984e13i 0.680233i
\(559\) −3.06197e13 1.60541e12i −0.560973 0.0294122i
\(560\) −1.61504e13 −0.293254
\(561\) 1.55317e12i 0.0279516i
\(562\) 2.58457e13 1.49220e13i 0.461005 0.266162i
\(563\) 7.51301e13 1.32823 0.664113 0.747632i \(-0.268809\pi\)
0.664113 + 0.747632i \(0.268809\pi\)
\(564\) −1.36963e13 + 7.90753e12i −0.239997 + 0.138562i
\(565\) 7.42063e12 + 1.28529e13i 0.128884 + 0.223233i
\(566\) 4.77804e13 + 2.75860e13i 0.822559 + 0.474905i
\(567\) 1.09533e14i 1.86909i
\(568\) −3.32839e13 + 5.76494e13i −0.562979 + 0.975109i
\(569\) 2.15720e13 + 3.73638e13i 0.361684 + 0.626455i 0.988238 0.152923i \(-0.0488686\pi\)
−0.626554 + 0.779378i \(0.715535\pi\)
\(570\) 3.84945e13 0.639771
\(571\) 1.82900e13 1.05597e13i 0.301323 0.173969i −0.341714 0.939804i \(-0.611007\pi\)
0.643037 + 0.765835i \(0.277674\pi\)
\(572\) 1.09157e13 1.89065e13i 0.178267 0.308768i
\(573\) 6.14325e12 1.06404e13i 0.0994546 0.172260i
\(574\) 6.03558e13 1.04539e14i 0.968634 1.67772i
\(575\) −6.93717e13 −1.10368
\(576\) −1.51671e13 + 2.62703e13i −0.239217 + 0.414336i
\(577\) 6.15226e12 + 3.55201e12i 0.0961957 + 0.0555386i 0.547326 0.836919i \(-0.315646\pi\)
−0.451130 + 0.892458i \(0.648979\pi\)
\(578\) 4.23259e13 2.44368e13i 0.656095 0.378797i
\(579\) −1.07104e14 + 6.18365e13i −1.64594 + 0.950282i
\(580\) −7.78031e12 −0.118538
\(581\) 1.21247e14i 1.83143i
\(582\) −2.16481e13 3.74956e13i −0.324194 0.561520i
\(583\) −6.08646e13 1.05421e14i −0.903695 1.56525i
\(584\) 3.28163e13 5.68396e13i 0.483088 0.836732i
\(585\) 8.07087e12 + 4.65972e12i 0.117799 + 0.0680112i
\(586\) 5.34217e13i 0.773089i
\(587\) −1.01384e14 5.85342e13i −1.45472 0.839884i −0.455979 0.889991i \(-0.650711\pi\)
−0.998744 + 0.0501064i \(0.984044\pi\)
\(588\) −3.90600e13 2.25513e13i −0.555707 0.320837i
\(589\) 1.57668e14 + 9.10297e13i 2.22417 + 1.28412i
\(590\) 2.43103e13 + 4.21067e13i 0.340040 + 0.588967i
\(591\) 1.31841e14i 1.82857i
\(592\) 2.89371e13 1.67068e13i 0.397966 0.229766i
\(593\) 6.83995e13 + 3.94904e13i 0.932780 + 0.538541i 0.887690 0.460442i \(-0.152309\pi\)
0.0450902 + 0.998983i \(0.485642\pi\)
\(594\) 5.24041e13 0.708652
\(595\) 4.28170e11 7.41613e11i 0.00574158 0.00994471i
\(596\) 3.62494e12 2.09286e12i 0.0482025 0.0278297i
\(597\) 2.50840e13 + 4.34467e13i 0.330769 + 0.572908i
\(598\) 4.78419e13i 0.625608i
\(599\) 2.17972e12 + 3.77539e12i 0.0282662 + 0.0489585i 0.879812 0.475321i \(-0.157668\pi\)
−0.851546 + 0.524279i \(0.824335\pi\)
\(600\) −7.68884e13 −0.988792
\(601\) 1.26882e14i 1.61818i 0.587683 + 0.809091i \(0.300040\pi\)
−0.587683 + 0.809091i \(0.699960\pi\)
\(602\) 8.94789e13 + 4.69145e12i 1.13172 + 0.0593368i
\(603\) 1.40005e13 0.175613
\(604\) 1.70485e12i 0.0212081i
\(605\) 4.28086e13 2.47155e13i 0.528146 0.304925i
\(606\) −8.16498e13 −0.999061
\(607\) 1.29258e14 7.46269e13i 1.56860 0.905632i 0.572268 0.820067i \(-0.306064\pi\)
0.996333 0.0855654i \(-0.0272697\pi\)
\(608\) −4.51358e13 7.81775e13i −0.543255 0.940945i
\(609\) 7.37642e13 + 4.25878e13i 0.880560 + 0.508392i
\(610\) 3.85062e13i 0.455912i
\(611\) −1.27734e13 + 2.21242e13i −0.150004 + 0.259814i
\(612\) −1.36454e11 2.36345e11i −0.00158938 0.00275289i
\(613\) 7.18033e13 0.829549 0.414774 0.909924i \(-0.363861\pi\)
0.414774 + 0.909924i \(0.363861\pi\)
\(614\) −1.07847e14 + 6.22655e13i −1.23585 + 0.713520i
\(615\) −4.57330e13 + 7.92119e13i −0.519822 + 0.900358i
\(616\) −1.06816e14 + 1.85011e14i −1.20430 + 2.08591i
\(617\) −4.15727e13 + 7.20060e13i −0.464924 + 0.805272i −0.999198 0.0400390i \(-0.987252\pi\)
0.534274 + 0.845311i \(0.320585\pi\)
\(618\) 7.16091e13 0.794375
\(619\) −4.83340e13 + 8.37170e13i −0.531863 + 0.921213i 0.467445 + 0.884022i \(0.345174\pi\)
−0.999308 + 0.0371914i \(0.988159\pi\)
\(620\) 3.11880e13 + 1.80064e13i 0.340431 + 0.196548i
\(621\) 7.37447e13 4.25765e13i 0.798496 0.461012i
\(622\) 1.32123e13 7.62812e12i 0.141914 0.0819343i
\(623\) 9.78749e13 1.04287
\(624\) 2.54490e13i 0.268998i
\(625\) −1.50158e13 2.60082e13i −0.157453 0.272716i
\(626\) −3.11668e13 5.39825e13i −0.324206 0.561541i
\(627\) 1.22190e14 2.11640e14i 1.26096 2.18404i
\(628\) −3.03338e13 1.75133e13i −0.310548 0.179295i
\(629\) 1.77169e12i 0.0179943i
\(630\) −2.35852e13 1.36169e13i −0.237650 0.137207i
\(631\) 1.02807e14 + 5.93559e13i 1.02773 + 0.593358i 0.916333 0.400418i \(-0.131135\pi\)
0.111394 + 0.993776i \(0.464468\pi\)
\(632\) −8.37147e13 4.83327e13i −0.830264 0.479353i
\(633\) 7.25401e13 + 1.25643e14i 0.713772 + 1.23629i
\(634\) 1.00685e14i 0.982922i
\(635\) 1.41331e13 8.15976e12i 0.136889 0.0790331i
\(636\) −5.66986e13 3.27350e13i −0.544863 0.314577i
\(637\) −7.28565e13 −0.694658
\(638\) 3.33064e13 5.76883e13i 0.315082 0.545738i
\(639\) −4.66557e13 + 2.69367e13i −0.437926 + 0.252837i
\(640\) −9.50926e11 1.64705e12i −0.00885618 0.0153394i
\(641\) 4.98921e13i 0.461044i 0.973067 + 0.230522i \(0.0740433\pi\)
−0.973067 + 0.230522i \(0.925957\pi\)
\(642\) −6.99537e12 1.21163e13i −0.0641410 0.111095i
\(643\) −1.52396e14 −1.38650 −0.693248 0.720699i \(-0.743821\pi\)
−0.693248 + 0.720699i \(0.743821\pi\)
\(644\) 1.03666e14i 0.935851i
\(645\) −6.78002e13 3.55482e12i −0.607341 0.0318434i
\(646\) −1.82092e12 −0.0161856
\(647\) 9.67970e13i 0.853769i 0.904306 + 0.426884i \(0.140389\pi\)
−0.904306 + 0.426884i \(0.859611\pi\)
\(648\) 1.33608e14 7.71384e13i 1.16938 0.675143i
\(649\) 3.08666e14 2.68081
\(650\) −3.21212e13 + 1.85452e13i −0.276838 + 0.159832i
\(651\) −1.97127e14 3.41433e14i −1.68593 2.92012i
\(652\) −3.23463e13 1.86752e13i −0.274528 0.158499i
\(653\) 6.04925e13i 0.509490i 0.967008 + 0.254745i \(0.0819916\pi\)
−0.967008 + 0.254745i \(0.918008\pi\)
\(654\) 2.91037e13 5.04091e13i 0.243254 0.421328i
\(655\) −3.03132e13 5.25041e13i −0.251435 0.435498i
\(656\) −8.15999e13 −0.671693
\(657\) 4.60003e13 2.65583e13i 0.375780 0.216957i
\(658\) 3.73274e13 6.46529e13i 0.302620 0.524154i
\(659\) −6.77865e13 + 1.17410e14i −0.545401 + 0.944662i 0.453181 + 0.891419i \(0.350289\pi\)
−0.998582 + 0.0532434i \(0.983044\pi\)
\(660\) 2.41703e13 4.18642e13i 0.193002 0.334289i
\(661\) 6.02192e13 0.477230 0.238615 0.971114i \(-0.423307\pi\)
0.238615 + 0.971114i \(0.423307\pi\)
\(662\) −2.04001e13 + 3.53340e13i −0.160451 + 0.277909i
\(663\) −1.16860e12 6.74690e11i −0.00912215 0.00526668i
\(664\) 1.47897e14 8.53881e13i 1.14582 0.661541i
\(665\) 1.16687e14 6.73695e13i 0.897255 0.518030i
\(666\) 5.63442e13 0.430010
\(667\) 1.08241e14i 0.819904i
\(668\) −1.72418e13 2.98636e13i −0.129628 0.224523i
\(669\) 4.38801e13 + 7.60025e13i 0.327444 + 0.567149i
\(670\) 9.23918e12 1.60027e13i 0.0684321 0.118528i
\(671\) −2.11704e14 1.22227e14i −1.55638 0.898579i
\(672\) 1.95485e14i 1.42649i
\(673\) −1.07058e14 6.18099e13i −0.775431 0.447695i 0.0593777 0.998236i \(-0.481088\pi\)
−0.834809 + 0.550540i \(0.814422\pi\)
\(674\) 1.87239e13 + 1.08102e13i 0.134616 + 0.0777204i
\(675\) 5.71721e13 + 3.30083e13i 0.408005 + 0.235562i
\(676\) 2.05697e13 + 3.56278e13i 0.145712 + 0.252380i
\(677\) 1.74574e14i 1.22754i 0.789484 + 0.613771i \(0.210348\pi\)
−0.789484 + 0.613771i \(0.789652\pi\)
\(678\) −5.91846e13 + 3.41702e13i −0.413105 + 0.238506i
\(679\) −1.31243e14 7.57730e13i −0.909340 0.525008i
\(680\) −1.20615e12 −0.00829579
\(681\) 2.84121e13 4.92112e13i 0.193985 0.335992i
\(682\) −2.67023e14 + 1.54166e14i −1.80978 + 1.04488i
\(683\) −6.98448e13 1.20975e14i −0.469927 0.813937i 0.529482 0.848321i \(-0.322386\pi\)
−0.999409 + 0.0343841i \(0.989053\pi\)
\(684\) 4.29401e13i 0.286802i
\(685\) −4.66680e13 8.08313e13i −0.309433 0.535953i
\(686\) 4.07371e13 0.268145
\(687\) 2.84304e14i 1.85780i
\(688\) −2.74969e13 5.39688e13i −0.178378 0.350107i
\(689\) −1.05757e14 −0.681103
\(690\) 1.05935e14i 0.677318i
\(691\) 6.80257e13 3.92747e13i 0.431800 0.249300i −0.268313 0.963332i \(-0.586466\pi\)
0.700113 + 0.714032i \(0.253133\pi\)
\(692\) −6.22180e13 −0.392090
\(693\) −1.49730e14 + 8.64466e13i −0.936790 + 0.540856i
\(694\) −9.48433e13 1.64273e14i −0.589127 1.02040i
\(695\) 1.15705e13 + 6.68021e12i 0.0713554 + 0.0411970i
\(696\) 1.19970e14i 0.734556i
\(697\) 2.16333e12 3.74700e12i 0.0131510 0.0227782i
\(698\) −2.61511e13 4.52951e13i −0.157839 0.273385i
\(699\) 1.39874e14 0.838208
\(700\) −6.96017e13 + 4.01846e13i −0.414123 + 0.239094i
\(701\) −1.75781e12 + 3.04462e12i −0.0103844 + 0.0179864i −0.871171 0.490980i \(-0.836639\pi\)
0.860786 + 0.508966i \(0.169972\pi\)
\(702\) 2.27640e13 3.94284e13i 0.133525 0.231273i
\(703\) −1.39381e14 + 2.41415e14i −0.811760 + 1.40601i
\(704\) 2.54169e14 1.46980
\(705\) −2.82838e13 + 4.89890e13i −0.162402 + 0.281289i
\(706\) 6.34472e13 + 3.66313e13i 0.361734 + 0.208847i
\(707\) −2.47503e14 + 1.42896e14i −1.40115 + 0.808953i
\(708\) 1.43770e14 8.30054e13i 0.808166 0.466595i
\(709\) 2.71739e14 1.51677 0.758386 0.651805i \(-0.225988\pi\)
0.758386 + 0.651805i \(0.225988\pi\)
\(710\) 7.11041e13i 0.394097i
\(711\) −3.91157e13 6.77504e13i −0.215280 0.372875i
\(712\) −6.89283e13 1.19387e14i −0.376702 0.652466i
\(713\) −2.50509e14 + 4.33894e14i −1.35949 + 2.35470i
\(714\) 3.41495e12 + 1.97162e12i 0.0184032 + 0.0106251i
\(715\) 7.80870e13i 0.417877i
\(716\) −5.55550e13 3.20747e13i −0.295228 0.170450i
\(717\) −7.95609e13 4.59345e13i −0.419859 0.242406i
\(718\) 3.05945e13 + 1.76637e13i 0.160332 + 0.0925678i
\(719\) 4.84847e13 + 8.39780e13i 0.252325 + 0.437040i 0.964166 0.265301i \(-0.0854714\pi\)
−0.711840 + 0.702341i \(0.752138\pi\)
\(720\) 1.84098e13i 0.0951452i
\(721\) 2.17067e14 1.25324e14i 1.11408 0.643216i
\(722\) −1.19372e14 6.89194e13i −0.608437 0.351281i
\(723\) 2.16366e14 1.09521
\(724\) −7.44239e13 + 1.28906e14i −0.374128 + 0.648008i
\(725\) 7.26735e13 4.19581e13i 0.362816 0.209472i
\(726\) 1.13809e14 + 1.97123e14i 0.564280 + 0.977361i
\(727\) 2.70855e14i 1.33372i 0.745183 + 0.666861i \(0.232362\pi\)
−0.745183 + 0.666861i \(0.767638\pi\)
\(728\) 9.28008e13 + 1.60736e14i 0.453832 + 0.786060i
\(729\) −3.25599e13 −0.158142
\(730\) 7.01052e13i 0.338171i
\(731\) 3.20718e12 + 1.68155e11i 0.0153652 + 0.000805608i
\(732\) −1.31476e14 −0.625591
\(733\) 2.80578e13i 0.132597i 0.997800 + 0.0662984i \(0.0211189\pi\)
−0.997800 + 0.0662984i \(0.978881\pi\)
\(734\) −1.00292e14 + 5.79035e13i −0.470745 + 0.271785i
\(735\) −1.61324e14 −0.752076
\(736\) 2.15140e14 1.24211e14i 0.996168 0.575138i
\(737\) −5.86546e13 1.01593e14i −0.269752 0.467224i
\(738\) −1.19164e14 6.87995e13i −0.544333 0.314271i
\(739\) 2.14615e14i 0.973731i −0.873477 0.486865i \(-0.838140\pi\)
0.873477 0.486865i \(-0.161860\pi\)
\(740\) −2.75707e13 + 4.77539e13i −0.124248 + 0.215204i
\(741\) −1.06158e14 1.83870e14i −0.475182 0.823040i
\(742\) 3.09050e14 1.37407
\(743\) 1.77463e14 1.02459e14i 0.783727 0.452485i −0.0540226 0.998540i \(-0.517204\pi\)
0.837749 + 0.546055i \(0.183871\pi\)
\(744\) −2.77652e14 + 4.80908e14i −1.21797 + 2.10959i
\(745\) 7.48578e12 1.29658e13i 0.0326179 0.0564958i
\(746\) 1.16156e14 2.01188e14i 0.502744 0.870777i
\(747\) 1.38209e14 0.594202
\(748\) −1.14334e12 + 1.98032e12i −0.00488278 + 0.00845721i
\(749\) −4.24098e13 2.44853e13i −0.179911 0.103872i
\(750\) −1.65837e14 + 9.57459e13i −0.698835 + 0.403473i
\(751\) −3.25738e14 + 1.88065e14i −1.36354 + 0.787242i −0.990094 0.140408i \(-0.955159\pi\)
−0.373450 + 0.927650i \(0.621825\pi\)
\(752\) −5.04659e13 −0.209850
\(753\) 6.00498e13i 0.248049i
\(754\) −2.89362e13 5.01189e13i −0.118737 0.205658i
\(755\) −3.04897e12 5.28098e12i −0.0124285 0.0215268i
\(756\) 4.93261e13 8.54354e13i 0.199741 0.345962i
\(757\) −7.04059e13 4.06488e13i −0.283224 0.163519i 0.351658 0.936128i \(-0.385618\pi\)
−0.634882 + 0.772609i \(0.718951\pi\)
\(758\) 2.24501e14i 0.897164i
\(759\) 5.82422e14 + 3.36261e14i 2.31222 + 1.33496i
\(760\) −1.64354e14 9.48898e13i −0.648205 0.374241i
\(761\) −2.48122e14 1.43253e14i