Properties

Label 43.11.d.a.7.7
Level 43
Weight 11
Character 43.7
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 7.7
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.30

$q$-expansion

\(f(q)\) \(=\) \(q-42.2308i q^{2} +(235.040 - 135.700i) q^{3} -759.441 q^{4} +(1173.21 - 677.354i) q^{5} +(-5730.73 - 9925.91i) q^{6} +(26152.5 + 15099.1i) q^{7} -11172.5i q^{8} +(7304.58 - 12651.9i) q^{9} +O(q^{10})\) \(q-42.2308i q^{2} +(235.040 - 135.700i) q^{3} -759.441 q^{4} +(1173.21 - 677.354i) q^{5} +(-5730.73 - 9925.91i) q^{6} +(26152.5 + 15099.1i) q^{7} -11172.5i q^{8} +(7304.58 - 12651.9i) q^{9} +(-28605.2 - 49545.7i) q^{10} +229830. q^{11} +(-178499. + 103056. i) q^{12} +(-65962.9 + 114251. i) q^{13} +(637649. - 1.10444e6i) q^{14} +(183834. - 318410. i) q^{15} -1.24949e6 q^{16} +(529741. - 917539. i) q^{17} +(-534300. - 308478. i) q^{18} +(2.71587e6 - 1.56801e6i) q^{19} +(-890985. + 514411. i) q^{20} +8.19583e6 q^{21} -9.70589e6i q^{22} +(2.85398e6 + 4.94324e6i) q^{23} +(-1.51611e6 - 2.62599e6i) q^{24} +(-3.96520e6 + 6.86792e6i) q^{25} +(4.82492e6 + 2.78567e6i) q^{26} +1.20610e7i q^{27} +(-1.98613e7 - 1.14669e7i) q^{28} +(-3.41762e6 - 1.97317e6i) q^{29} +(-1.34467e7 - 7.76347e6i) q^{30} +(-1.98658e7 - 3.44087e7i) q^{31} +4.13264e7i q^{32} +(5.40190e7 - 3.11879e7i) q^{33} +(-3.87484e7 - 2.23714e7i) q^{34} +4.09099e7 q^{35} +(-5.54740e6 + 9.60837e6i) q^{36} +(-7.59479e7 + 4.38485e7i) q^{37} +(-6.62184e7 - 1.14694e8i) q^{38} +3.58047e7i q^{39} +(-7.56776e6 - 1.31077e7i) q^{40} -1.46737e8 q^{41} -3.46116e8i q^{42} +(-1.18843e8 - 8.65327e7i) q^{43} -1.74542e8 q^{44} -1.97911e7i q^{45} +(2.08757e8 - 1.20526e8i) q^{46} -3.17908e8 q^{47} +(-2.93680e8 + 1.69556e8i) q^{48} +(3.14731e8 + 5.45130e8i) q^{49} +(2.90038e8 + 1.67453e8i) q^{50} -2.87544e8i q^{51} +(5.00949e7 - 8.67670e7i) q^{52} +(1.12405e8 + 1.94690e8i) q^{53} +5.09345e8 q^{54} +(2.69639e8 - 1.55676e8i) q^{55} +(1.68696e8 - 2.92190e8i) q^{56} +(4.25559e8 - 7.37089e8i) q^{57} +(-8.33284e7 + 1.44329e8i) q^{58} +4.85413e7 q^{59} +(-1.39611e8 + 2.41814e8i) q^{60} +(4.04375e8 + 2.33466e8i) q^{61} +(-1.45311e9 + 8.38951e8i) q^{62} +(3.82066e8 - 2.20586e8i) q^{63} +4.65767e8 q^{64} +1.78721e8i q^{65} +(-1.31709e9 - 2.28127e9i) q^{66} +(-7.18925e8 - 1.24521e9i) q^{67} +(-4.02307e8 + 6.96817e8i) q^{68} +(1.34160e9 + 7.74571e8i) q^{69} -1.72766e9i q^{70} +(1.52874e9 + 8.82616e8i) q^{71} +(-1.41354e8 - 8.16106e7i) q^{72} +(-1.34889e9 - 7.78783e8i) q^{73} +(1.85176e9 + 3.20734e9i) q^{74} +2.15231e9i q^{75} +(-2.06255e9 + 1.19081e9i) q^{76} +(6.01062e9 + 3.47023e9i) q^{77} +1.51206e9 q^{78} +(-9.09556e8 + 1.57540e9i) q^{79} +(-1.46592e9 + 8.46349e8i) q^{80} +(2.06801e9 + 3.58189e9i) q^{81} +6.19683e9i q^{82} +(-2.84046e9 - 4.91983e9i) q^{83} -6.22425e9 q^{84} -1.43529e9i q^{85} +(-3.65435e9 + 5.01882e9i) q^{86} -1.07104e9 q^{87} -2.56778e9i q^{88} +(6.84950e9 - 3.95456e9i) q^{89} -8.35796e8 q^{90} +(-3.45019e9 + 1.99197e9i) q^{91} +(-2.16743e9 - 3.75410e9i) q^{92} +(-9.33852e9 - 5.39160e9i) q^{93} +1.34255e10i q^{94} +(2.12420e9 - 3.67922e9i) q^{95} +(5.60800e9 + 9.71335e9i) q^{96} +5.53639e9 q^{97} +(2.30213e10 - 1.32913e10i) q^{98} +(1.67881e9 - 2.90778e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 42.2308i 1.31971i −0.751392 0.659856i \(-0.770617\pi\)
0.751392 0.659856i \(-0.229383\pi\)
\(3\) 235.040 135.700i 0.967241 0.558437i 0.0688471 0.997627i \(-0.478068\pi\)
0.898394 + 0.439190i \(0.144735\pi\)
\(4\) −759.441 −0.741642
\(5\) 1173.21 677.354i 0.375428 0.216753i −0.300399 0.953814i \(-0.597120\pi\)
0.675827 + 0.737060i \(0.263787\pi\)
\(6\) −5730.73 9925.91i −0.736976 1.27648i
\(7\) 26152.5 + 15099.1i 1.55605 + 0.898385i 0.997629 + 0.0688255i \(0.0219252\pi\)
0.558419 + 0.829559i \(0.311408\pi\)
\(8\) 11172.5i 0.340959i
\(9\) 7304.58 12651.9i 0.123704 0.214261i
\(10\) −28605.2 49545.7i −0.286052 0.495457i
\(11\) 229830. 1.42706 0.713530 0.700624i \(-0.247095\pi\)
0.713530 + 0.700624i \(0.247095\pi\)
\(12\) −178499. + 103056.i −0.717346 + 0.414160i
\(13\) −65962.9 + 114251.i −0.177657 + 0.307711i −0.941078 0.338191i \(-0.890185\pi\)
0.763420 + 0.645902i \(0.223519\pi\)
\(14\) 637649. 1.10444e6i 1.18561 2.05354i
\(15\) 183834. 318410.i 0.242086 0.419306i
\(16\) −1.24949e6 −1.19161
\(17\) 529741. 917539.i 0.373095 0.646219i −0.616945 0.787006i \(-0.711630\pi\)
0.990040 + 0.140787i \(0.0449633\pi\)
\(18\) −534300. 308478.i −0.282763 0.163253i
\(19\) 2.71587e6 1.56801e6i 1.09684 0.633259i 0.161448 0.986881i \(-0.448384\pi\)
0.935388 + 0.353623i \(0.115050\pi\)
\(20\) −890985. + 514411.i −0.278433 + 0.160753i
\(21\) 8.19583e6 2.00676
\(22\) 9.70589e6i 1.88331i
\(23\) 2.85398e6 + 4.94324e6i 0.443416 + 0.768020i 0.997940 0.0641480i \(-0.0204330\pi\)
−0.554524 + 0.832168i \(0.687100\pi\)
\(24\) −1.51611e6 2.62599e6i −0.190404 0.329789i
\(25\) −3.96520e6 + 6.86792e6i −0.406036 + 0.703275i
\(26\) 4.82492e6 + 2.78567e6i 0.406091 + 0.234457i
\(27\) 1.20610e7i 0.840551i
\(28\) −1.98613e7 1.14669e7i −1.15403 0.666280i
\(29\) −3.41762e6 1.97317e6i −0.166623 0.0961997i 0.414370 0.910109i \(-0.364002\pi\)
−0.580992 + 0.813909i \(0.697335\pi\)
\(30\) −1.34467e7 7.76347e6i −0.553363 0.319484i
\(31\) −1.98658e7 3.44087e7i −0.693903 1.20187i −0.970549 0.240903i \(-0.922556\pi\)
0.276646 0.960972i \(-0.410777\pi\)
\(32\) 4.13264e7i 1.23162i
\(33\) 5.40190e7 3.11879e7i 1.38031 0.796923i
\(34\) −3.87484e7 2.23714e7i −0.852824 0.492378i
\(35\) 4.09099e7 0.778911
\(36\) −5.54740e6 + 9.60837e6i −0.0917438 + 0.158905i
\(37\) −7.59479e7 + 4.38485e7i −1.09523 + 0.632334i −0.934965 0.354740i \(-0.884570\pi\)
−0.160269 + 0.987073i \(0.551236\pi\)
\(38\) −6.62184e7 1.14694e8i −0.835719 1.44751i
\(39\) 3.58047e7i 0.396841i
\(40\) −7.56776e6 1.31077e7i −0.0739039 0.128005i
\(41\) −1.46737e8 −1.26655 −0.633273 0.773928i \(-0.718289\pi\)
−0.633273 + 0.773928i \(0.718289\pi\)
\(42\) 3.46116e8i 2.64835i
\(43\) −1.18843e8 8.65327e7i −0.808407 0.588624i
\(44\) −1.74542e8 −1.05837
\(45\) 1.97911e7i 0.107253i
\(46\) 2.08757e8 1.20526e8i 1.01357 0.585182i
\(47\) −3.17908e8 −1.38616 −0.693078 0.720863i \(-0.743746\pi\)
−0.693078 + 0.720863i \(0.743746\pi\)
\(48\) −2.93680e8 + 1.69556e8i −1.15257 + 0.665439i
\(49\) 3.14731e8 + 5.45130e8i 1.11419 + 1.92983i
\(50\) 2.90038e8 + 1.67453e8i 0.928121 + 0.535851i
\(51\) 2.87544e8i 0.833400i
\(52\) 5.00949e7 8.67670e7i 0.131758 0.228212i
\(53\) 1.12405e8 + 1.94690e8i 0.268785 + 0.465549i 0.968548 0.248826i \(-0.0800446\pi\)
−0.699764 + 0.714375i \(0.746711\pi\)
\(54\) 5.09345e8 1.10929
\(55\) 2.69639e8 1.55676e8i 0.535758 0.309320i
\(56\) 1.68696e8 2.92190e8i 0.306312 0.530548i
\(57\) 4.25559e8 7.37089e8i 0.707270 1.22503i
\(58\) −8.33284e7 + 1.44329e8i −0.126956 + 0.219894i
\(59\) 4.85413e7 0.0678971 0.0339485 0.999424i \(-0.489192\pi\)
0.0339485 + 0.999424i \(0.489192\pi\)
\(60\) −1.39611e8 + 2.41814e8i −0.179541 + 0.310974i
\(61\) 4.04375e8 + 2.33466e8i 0.478779 + 0.276423i 0.719908 0.694070i \(-0.244184\pi\)
−0.241128 + 0.970493i \(0.577517\pi\)
\(62\) −1.45311e9 + 8.38951e8i −1.58613 + 0.915752i
\(63\) 3.82066e8 2.20586e8i 0.384978 0.222267i
\(64\) 4.65767e8 0.433780
\(65\) 1.78721e8i 0.154031i
\(66\) −1.31709e9 2.28127e9i −1.05171 1.82162i
\(67\) −7.18925e8 1.24521e9i −0.532488 0.922296i −0.999280 0.0379291i \(-0.987924\pi\)
0.466793 0.884367i \(-0.345409\pi\)
\(68\) −4.02307e8 + 6.96817e8i −0.276703 + 0.479263i
\(69\) 1.34160e9 + 7.74571e8i 0.857781 + 0.495240i
\(70\) 1.72766e9i 1.02794i
\(71\) 1.52874e9 + 8.82616e8i 0.847307 + 0.489193i 0.859741 0.510730i \(-0.170625\pi\)
−0.0124343 + 0.999923i \(0.503958\pi\)
\(72\) −1.41354e8 8.16106e7i −0.0730541 0.0421778i
\(73\) −1.34889e9 7.78783e8i −0.650673 0.375666i 0.138041 0.990427i \(-0.455919\pi\)
−0.788714 + 0.614760i \(0.789253\pi\)
\(74\) 1.85176e9 + 3.20734e9i 0.834499 + 1.44539i
\(75\) 2.15231e9i 0.906982i
\(76\) −2.06255e9 + 1.19081e9i −0.813459 + 0.469651i
\(77\) 6.01062e9 + 3.47023e9i 2.22057 + 1.28205i
\(78\) 1.51206e9 0.523717
\(79\) −9.09556e8 + 1.57540e9i −0.295593 + 0.511982i −0.975123 0.221666i \(-0.928850\pi\)
0.679530 + 0.733648i \(0.262184\pi\)
\(80\) −1.46592e9 + 8.46349e8i −0.447363 + 0.258285i
\(81\) 2.06801e9 + 3.58189e9i 0.593098 + 1.02728i
\(82\) 6.19683e9i 1.67148i
\(83\) −2.84046e9 4.91983e9i −0.721105 1.24899i −0.960557 0.278083i \(-0.910301\pi\)
0.239452 0.970908i \(-0.423032\pi\)
\(84\) −6.22425e9 −1.48830
\(85\) 1.43529e9i 0.323478i
\(86\) −3.65435e9 + 5.01882e9i −0.776815 + 1.06686i
\(87\) −1.07104e9 −0.214886
\(88\) 2.56778e9i 0.486569i
\(89\) 6.84950e9 3.95456e9i 1.22662 0.708188i 0.260297 0.965529i \(-0.416180\pi\)
0.966321 + 0.257341i \(0.0828463\pi\)
\(90\) −8.35796e8 −0.141543
\(91\) −3.45019e9 + 1.99197e9i −0.552886 + 0.319209i
\(92\) −2.16743e9 3.75410e9i −0.328856 0.569596i
\(93\) −9.33852e9 5.39160e9i −1.34234 0.775002i
\(94\) 1.34255e10i 1.82933i
\(95\) 2.12420e9 3.67922e9i 0.274522 0.475486i
\(96\) 5.60800e9 + 9.71335e9i 0.687784 + 1.19128i
\(97\) 5.53639e9 0.644716 0.322358 0.946618i \(-0.395525\pi\)
0.322358 + 0.946618i \(0.395525\pi\)
\(98\) 2.30213e10 1.32913e10i 2.54683 1.47041i
\(99\) 1.67881e9 2.90778e9i 0.176533 0.305763i
\(100\) 3.01133e9 5.21578e9i 0.301133 0.521578i
\(101\) 1.11205e9 1.92613e9i 0.105808 0.183264i −0.808260 0.588826i \(-0.799591\pi\)
0.914068 + 0.405561i \(0.132924\pi\)
\(102\) −1.21432e10 −1.09985
\(103\) 4.79021e9 8.29689e9i 0.413208 0.715697i −0.582031 0.813167i \(-0.697742\pi\)
0.995238 + 0.0974699i \(0.0310750\pi\)
\(104\) 1.27647e9 + 7.36973e8i 0.104917 + 0.0605738i
\(105\) 9.61544e9 5.55148e9i 0.753395 0.434973i
\(106\) 8.22193e9 4.74694e9i 0.614391 0.354719i
\(107\) 6.87424e9 0.490124 0.245062 0.969507i \(-0.421192\pi\)
0.245062 + 0.969507i \(0.421192\pi\)
\(108\) 9.15961e9i 0.623388i
\(109\) −1.36560e10 2.36530e10i −0.887549 1.53728i −0.842763 0.538284i \(-0.819073\pi\)
−0.0447860 0.998997i \(-0.514261\pi\)
\(110\) −6.57432e9 1.13871e10i −0.408214 0.707047i
\(111\) −1.19005e10 + 2.06123e10i −0.706237 + 1.22324i
\(112\) −3.26774e10 1.88663e10i −1.85420 1.07052i
\(113\) 2.92021e10i 1.58497i 0.609890 + 0.792486i \(0.291214\pi\)
−0.609890 + 0.792486i \(0.708786\pi\)
\(114\) −3.11279e10 1.79717e10i −1.61668 0.933393i
\(115\) 6.69665e9 + 3.86631e9i 0.332942 + 0.192224i
\(116\) 2.59548e9 + 1.49850e9i 0.123574 + 0.0713457i
\(117\) 9.63662e8 + 1.66911e9i 0.0439537 + 0.0761301i
\(118\) 2.04994e9i 0.0896046i
\(119\) 2.77081e10 1.59973e10i 1.16111 0.670365i
\(120\) −3.55745e9 2.05389e9i −0.142966 0.0825414i
\(121\) 2.68842e10 1.03650
\(122\) 9.85947e9 1.70771e10i 0.364799 0.631851i
\(123\) −3.44891e10 + 1.99123e10i −1.22506 + 0.707286i
\(124\) 1.50869e10 + 2.61314e10i 0.514627 + 0.891361i
\(125\) 2.39729e10i 0.785545i
\(126\) −9.31552e9 1.61350e10i −0.293329 0.508060i
\(127\) −3.17229e10 −0.960182 −0.480091 0.877219i \(-0.659396\pi\)
−0.480091 + 0.877219i \(0.659396\pi\)
\(128\) 2.26485e10i 0.659159i
\(129\) −3.96752e10 4.21166e9i −1.11063 0.117897i
\(130\) 7.54753e9 0.203277
\(131\) 3.21166e10i 0.832478i −0.909255 0.416239i \(-0.863348\pi\)
0.909255 0.416239i \(-0.136652\pi\)
\(132\) −4.10243e10 + 2.36854e10i −1.02370 + 0.591032i
\(133\) 9.47025e10 2.27564
\(134\) −5.25864e10 + 3.03608e10i −1.21717 + 0.702731i
\(135\) 8.16956e9 + 1.41501e10i 0.182192 + 0.315566i
\(136\) −1.02512e10 5.91855e9i −0.220334 0.127210i
\(137\) 4.48483e10i 0.929273i 0.885502 + 0.464636i \(0.153815\pi\)
−0.885502 + 0.464636i \(0.846185\pi\)
\(138\) 3.27108e10 5.66567e10i 0.653575 1.13202i
\(139\) −3.59378e10 6.22461e10i −0.692592 1.19960i −0.970986 0.239138i \(-0.923135\pi\)
0.278394 0.960467i \(-0.410198\pi\)
\(140\) −3.10687e10 −0.577673
\(141\) −7.47210e10 + 4.31402e10i −1.34075 + 0.774081i
\(142\) 3.72736e10 6.45598e10i 0.645594 1.11820i
\(143\) −1.51602e10 + 2.62583e10i −0.253528 + 0.439123i
\(144\) −9.12702e9 + 1.58085e10i −0.147406 + 0.255315i
\(145\) −5.34613e9 −0.0834064
\(146\) −3.28886e10 + 5.69648e10i −0.495772 + 0.858702i
\(147\) 1.47949e11 + 8.54181e10i 2.15538 + 1.24441i
\(148\) 5.76779e10 3.33004e10i 0.812272 0.468965i
\(149\) −6.80732e10 + 3.93021e10i −0.926925 + 0.535161i −0.885838 0.463995i \(-0.846416\pi\)
−0.0410876 + 0.999156i \(0.513082\pi\)
\(150\) 9.08938e10 1.19696
\(151\) 9.66369e10i 1.23100i 0.788136 + 0.615501i \(0.211046\pi\)
−0.788136 + 0.615501i \(0.788954\pi\)
\(152\) −1.75187e10 3.03432e10i −0.215915 0.373976i
\(153\) −7.73907e9 1.34045e10i −0.0923064 0.159879i
\(154\) 1.46551e11 2.53833e11i 1.69194 2.93052i
\(155\) −4.66137e10 2.69124e10i −0.521021 0.300812i
\(156\) 2.71916e10i 0.294314i
\(157\) −8.05045e10 4.64793e10i −0.843960 0.487261i 0.0146483 0.999893i \(-0.495337\pi\)
−0.858608 + 0.512632i \(0.828670\pi\)
\(158\) 6.65303e10 + 3.84113e10i 0.675669 + 0.390098i
\(159\) 5.28391e10 + 3.05066e10i 0.519959 + 0.300199i
\(160\) 2.79926e10 + 4.84846e10i 0.266958 + 0.462386i
\(161\) 1.72371e11i 1.59343i
\(162\) 1.51266e11 8.73336e10i 1.35571 0.782720i
\(163\) 1.63692e11 + 9.45074e10i 1.42262 + 0.821349i 0.996522 0.0833290i \(-0.0265552\pi\)
0.426096 + 0.904678i \(0.359889\pi\)
\(164\) 1.11438e11 0.939324
\(165\) 4.22505e10 7.31801e10i 0.345472 0.598374i
\(166\) −2.07768e11 + 1.19955e11i −1.64831 + 0.951652i
\(167\) 1.22847e10 + 2.12778e10i 0.0945765 + 0.163811i 0.909432 0.415853i \(-0.136517\pi\)
−0.814855 + 0.579664i \(0.803184\pi\)
\(168\) 9.15682e10i 0.684224i
\(169\) 6.02270e10 + 1.04316e11i 0.436876 + 0.756691i
\(170\) −6.06135e10 −0.426898
\(171\) 4.58146e10i 0.313346i
\(172\) 9.02540e10 + 6.57165e10i 0.599548 + 0.436548i
\(173\) 1.03777e11 0.669688 0.334844 0.942274i \(-0.391316\pi\)
0.334844 + 0.942274i \(0.391316\pi\)
\(174\) 4.52307e10i 0.283588i
\(175\) −2.07399e11 + 1.19742e11i −1.26362 + 0.729553i
\(176\) −2.87170e11 −1.70050
\(177\) 1.14091e10 6.58706e9i 0.0656729 0.0379162i
\(178\) −1.67004e11 2.89260e11i −0.934605 1.61878i
\(179\) −1.74872e11 1.00962e11i −0.951600 0.549406i −0.0580222 0.998315i \(-0.518479\pi\)
−0.893577 + 0.448909i \(0.851813\pi\)
\(180\) 1.50302e10i 0.0795431i
\(181\) −6.47451e10 + 1.12142e11i −0.333284 + 0.577264i −0.983154 0.182781i \(-0.941490\pi\)
0.649870 + 0.760045i \(0.274823\pi\)
\(182\) 8.41224e10 + 1.45704e11i 0.421264 + 0.729651i
\(183\) 1.26726e11 0.617460
\(184\) 5.52285e10 3.18862e10i 0.261863 0.151187i
\(185\) −5.94020e10 + 1.02887e11i −0.274121 + 0.474791i
\(186\) −2.27692e11 + 3.94373e11i −1.02278 + 1.77151i
\(187\) 1.21750e11 2.10878e11i 0.532429 0.922194i
\(188\) 2.41432e11 1.02803
\(189\) −1.82111e11 + 3.15425e11i −0.755138 + 1.30794i
\(190\) −1.55376e11 8.97066e10i −0.627505 0.362290i
\(191\) 1.33801e11 7.72501e10i 0.526372 0.303901i −0.213166 0.977016i \(-0.568377\pi\)
0.739538 + 0.673115i \(0.235044\pi\)
\(192\) 1.09474e11 6.32047e10i 0.419570 0.242239i
\(193\) 2.24953e11 0.840049 0.420024 0.907513i \(-0.362022\pi\)
0.420024 + 0.907513i \(0.362022\pi\)
\(194\) 2.33806e11i 0.850840i
\(195\) 2.42525e10 + 4.20065e10i 0.0860167 + 0.148985i
\(196\) −2.39020e11 4.13994e11i −0.826330 1.43124i
\(197\) −1.32446e11 + 2.29403e11i −0.446383 + 0.773159i −0.998147 0.0608416i \(-0.980622\pi\)
0.551764 + 0.834000i \(0.313955\pi\)
\(198\) −1.22798e11 7.08974e10i −0.403520 0.232972i
\(199\) 1.06219e11i 0.340357i −0.985413 0.170179i \(-0.945566\pi\)
0.985413 0.170179i \(-0.0544345\pi\)
\(200\) 7.67320e10 + 4.43013e10i 0.239788 + 0.138441i
\(201\) −3.37952e11 1.95117e11i −1.03009 0.594722i
\(202\) −8.13419e10 4.69628e10i −0.241856 0.139636i
\(203\) −5.95862e10 1.03206e11i −0.172849 0.299383i
\(204\) 2.18373e11i 0.618084i
\(205\) −1.72154e11 + 9.93931e10i −0.475497 + 0.274528i
\(206\) −3.50384e11 2.02294e11i −0.944514 0.545316i
\(207\) 8.33885e10 0.219409
\(208\) 8.24202e10 1.42756e11i 0.211698 0.366672i
\(209\) 6.24188e11 3.60375e11i 1.56525 0.903698i
\(210\) −2.34443e11 4.06068e11i −0.574039 0.994265i
\(211\) 2.95207e10i 0.0705853i −0.999377 0.0352926i \(-0.988764\pi\)
0.999377 0.0352926i \(-0.0112363\pi\)
\(212\) −8.53647e10 1.47856e11i −0.199342 0.345270i
\(213\) 4.79085e11 1.09273
\(214\) 2.90305e11i 0.646822i
\(215\) −1.98041e11 2.10227e10i −0.431085 0.0457611i
\(216\) 1.34752e11 0.286593
\(217\) 1.19983e12i 2.49357i
\(218\) −9.98884e11 + 5.76706e11i −2.02877 + 1.17131i
\(219\) −4.22724e11 −0.839144
\(220\) −2.04775e11 + 1.18227e11i −0.397341 + 0.229405i
\(221\) 6.98865e10 + 1.21047e11i 0.132566 + 0.229611i
\(222\) 8.70473e11 + 5.02568e11i 1.61432 + 0.932030i
\(223\) 4.61603e11i 0.837036i −0.908209 0.418518i \(-0.862550\pi\)
0.908209 0.418518i \(-0.137450\pi\)
\(224\) −6.23994e11 + 1.08079e12i −1.10647 + 1.91646i
\(225\) 5.79282e10 + 1.00335e11i 0.100456 + 0.173995i
\(226\) 1.23323e12 2.09171
\(227\) 5.99647e11 3.46207e11i 0.994871 0.574389i 0.0881441 0.996108i \(-0.471906\pi\)
0.906727 + 0.421719i \(0.138573\pi\)
\(228\) −3.23187e11 + 5.59776e11i −0.524541 + 0.908532i
\(229\) −2.16649e11 + 3.75247e11i −0.344016 + 0.595853i −0.985174 0.171555i \(-0.945121\pi\)
0.641158 + 0.767409i \(0.278454\pi\)
\(230\) 1.63277e11 2.82805e11i 0.253680 0.439387i
\(231\) 1.88364e12 2.86377
\(232\) −2.20453e10 + 3.81835e10i −0.0328001 + 0.0568114i
\(233\) −1.93621e11 1.11787e11i −0.281950 0.162784i 0.352356 0.935866i \(-0.385381\pi\)
−0.634306 + 0.773082i \(0.718714\pi\)
\(234\) 7.04879e10 4.06962e10i 0.100470 0.0580063i
\(235\) −3.72973e11 + 2.15336e11i −0.520401 + 0.300454i
\(236\) −3.68642e10 −0.0503553
\(237\) 4.93707e11i 0.660280i
\(238\) −6.75578e11 1.17014e12i −0.884690 1.53233i
\(239\) −3.92457e11 6.79755e11i −0.503271 0.871691i −0.999993 0.00378139i \(-0.998796\pi\)
0.496722 0.867910i \(-0.334537\pi\)
\(240\) −2.29699e11 + 3.97851e11i −0.288472 + 0.499648i
\(241\) 1.18886e11 + 6.86387e10i 0.146233 + 0.0844274i 0.571331 0.820720i \(-0.306427\pi\)
−0.425099 + 0.905147i \(0.639761\pi\)
\(242\) 1.13534e12i 1.36789i
\(243\) 3.55353e11 + 2.05163e11i 0.419400 + 0.242141i
\(244\) −3.07099e11 1.77304e11i −0.355083 0.205007i
\(245\) 7.38492e11 + 4.26369e11i 0.836596 + 0.483009i
\(246\) 8.40911e11 + 1.45650e12i 0.933415 + 1.61672i
\(247\) 4.13722e11i 0.450012i
\(248\) −3.84432e11 + 2.21952e11i −0.409790 + 0.236592i
\(249\) −1.33524e12 7.70903e11i −1.39497 0.805384i
\(250\) 1.01240e12 1.03669
\(251\) 2.22074e11 3.84644e11i 0.222910 0.386091i −0.732780 0.680465i \(-0.761778\pi\)
0.955690 + 0.294374i \(0.0951111\pi\)
\(252\) −2.90157e11 + 1.67522e11i −0.285515 + 0.164842i
\(253\) 6.55929e11 + 1.13610e12i 0.632782 + 1.09601i
\(254\) 1.33968e12i 1.26716i
\(255\) −1.94769e11 3.37350e11i −0.180642 0.312881i
\(256\) 1.43341e12 1.30368
\(257\) 1.81126e12i 1.61553i 0.589505 + 0.807764i \(0.299323\pi\)
−0.589505 + 0.807764i \(0.700677\pi\)
\(258\) −1.77862e11 + 1.67552e12i −0.155591 + 1.46572i
\(259\) −2.64830e12 −2.27232
\(260\) 1.35728e11i 0.114236i
\(261\) −4.99286e10 + 2.88263e10i −0.0412237 + 0.0238005i
\(262\) −1.35631e12 −1.09863
\(263\) −3.63671e11 + 2.09966e11i −0.289021 + 0.166867i −0.637500 0.770450i \(-0.720032\pi\)
0.348479 + 0.937317i \(0.386698\pi\)
\(264\) −3.48448e11 6.03530e11i −0.271718 0.470629i
\(265\) 2.63749e11 + 1.52275e11i 0.201819 + 0.116520i
\(266\) 3.99936e12i 3.00319i
\(267\) 1.07327e12 1.85896e12i 0.790957 1.36998i
\(268\) 5.45981e11 + 9.45667e11i 0.394915 + 0.684013i
\(269\) 6.21066e11 0.440937 0.220469 0.975394i \(-0.429241\pi\)
0.220469 + 0.975394i \(0.429241\pi\)
\(270\) 5.97570e11 3.45007e11i 0.416457 0.240441i
\(271\) −3.50972e10 + 6.07902e10i −0.0240119 + 0.0415898i −0.877782 0.479061i \(-0.840977\pi\)
0.853770 + 0.520651i \(0.174311\pi\)
\(272\) −6.61908e11 + 1.14646e12i −0.444583 + 0.770041i
\(273\) −5.40621e11 + 9.36382e11i −0.356516 + 0.617504i
\(274\) 1.89398e12 1.22637
\(275\) −9.11319e11 + 1.57845e12i −0.579438 + 1.00362i
\(276\) −1.01886e12 5.88241e11i −0.636166 0.367291i
\(277\) 5.52344e10 3.18896e10i 0.0338697 0.0195547i −0.482970 0.875637i \(-0.660442\pi\)
0.516839 + 0.856082i \(0.327108\pi\)
\(278\) −2.62870e12 + 1.51768e12i −1.58313 + 0.914023i
\(279\) −5.80447e11 −0.343353
\(280\) 4.57067e11i 0.265577i
\(281\) 1.04779e12 + 1.81482e12i 0.598054 + 1.03586i 0.993108 + 0.117202i \(0.0373926\pi\)
−0.395054 + 0.918658i \(0.629274\pi\)
\(282\) 1.82184e12 + 3.15553e12i 1.02156 + 1.76940i
\(283\) 9.08917e11 1.57429e12i 0.500717 0.867267i −0.499283 0.866439i \(-0.666403\pi\)
1.00000 0.000827731i \(-0.000263475\pi\)
\(284\) −1.16099e12 6.70295e11i −0.628398 0.362806i
\(285\) 1.15302e12i 0.613212i
\(286\) 1.10891e12 + 6.40228e11i 0.579516 + 0.334584i
\(287\) −3.83755e12 2.21561e12i −1.97081 1.13785i
\(288\) 5.22858e11 + 3.01872e11i 0.263889 + 0.152356i
\(289\) 4.46745e11 + 7.73786e11i 0.221601 + 0.383823i
\(290\) 2.25771e11i 0.110072i
\(291\) 1.30127e12 7.51290e11i 0.623596 0.360033i
\(292\) 1.02440e12 + 5.91440e11i 0.482566 + 0.278610i
\(293\) 1.23430e12 0.571588 0.285794 0.958291i \(-0.407743\pi\)
0.285794 + 0.958291i \(0.407743\pi\)
\(294\) 3.60728e12 6.24799e12i 1.64226 2.84448i
\(295\) 5.69492e10 3.28796e10i 0.0254905 0.0147169i
\(296\) 4.89899e11 + 8.48530e11i 0.215600 + 0.373430i
\(297\) 2.77197e12i 1.19952i
\(298\) 1.65976e12 + 2.87479e12i 0.706258 + 1.22328i
\(299\) −7.53027e11 −0.315105
\(300\) 1.63455e12i 0.672656i
\(301\) −1.80146e12 4.05747e12i −0.729109 1.64219i
\(302\) 4.08106e12 1.62457
\(303\) 6.03622e11i 0.236348i
\(304\) −3.39347e12 + 1.95922e12i −1.30700 + 0.754597i
\(305\) 6.32557e11 0.239663
\(306\) −5.66081e11 + 3.26827e11i −0.210995 + 0.121818i
\(307\) 1.91643e12 + 3.31935e12i 0.702750 + 1.21720i 0.967497 + 0.252881i \(0.0813782\pi\)
−0.264747 + 0.964318i \(0.585288\pi\)
\(308\) −4.56471e12 2.63544e12i −1.64687 0.950821i
\(309\) 2.60013e12i 0.923002i
\(310\) −1.13653e12 + 1.96853e12i −0.396985 + 0.687598i
\(311\) −4.36116e11 7.55375e11i −0.149899 0.259633i 0.781291 0.624167i \(-0.214562\pi\)
−0.931190 + 0.364534i \(0.881228\pi\)
\(312\) 4.00029e11 0.135307
\(313\) −1.48775e12 + 8.58956e11i −0.495233 + 0.285923i −0.726743 0.686910i \(-0.758967\pi\)
0.231510 + 0.972833i \(0.425633\pi\)
\(314\) −1.96286e12 + 3.39977e12i −0.643044 + 1.11378i
\(315\) 2.98829e11 5.17588e11i 0.0963542 0.166890i
\(316\) 6.90754e11 1.19642e12i 0.219224 0.379707i
\(317\) −1.03884e12 −0.324530 −0.162265 0.986747i \(-0.551880\pi\)
−0.162265 + 0.986747i \(0.551880\pi\)
\(318\) 1.28832e12 2.23144e12i 0.396176 0.686197i
\(319\) −7.85471e11 4.53492e11i −0.237781 0.137283i
\(320\) 5.46444e11 3.15490e11i 0.162853 0.0940232i
\(321\) 1.61572e12 9.32835e11i 0.474068 0.273703i
\(322\) 7.27935e12 2.10288
\(323\) 3.32256e12i 0.945062i
\(324\) −1.57053e12 2.72024e12i −0.439867 0.761871i
\(325\) −5.23111e11 9.06056e11i −0.144270 0.249884i
\(326\) 3.99112e12 6.91283e12i 1.08394 1.87745i
\(327\) −6.41942e12 3.70626e12i −1.71695 0.991281i
\(328\) 1.63943e12i 0.431840i
\(329\) −8.31409e12 4.80014e12i −2.15692 1.24530i
\(330\) −3.09045e12 1.78427e12i −0.789682 0.455923i
\(331\) 2.69810e12 + 1.55775e12i 0.679076 + 0.392065i 0.799507 0.600657i \(-0.205094\pi\)
−0.120431 + 0.992722i \(0.538428\pi\)
\(332\) 2.15716e12 + 3.73632e12i 0.534802 + 0.926304i
\(333\) 1.28118e12i 0.312888i
\(334\) 8.98578e11 5.18794e11i 0.216184 0.124814i
\(335\) −1.68690e12 9.73934e11i −0.399821 0.230837i
\(336\) −1.02406e13 −2.39128
\(337\) 2.94547e12 5.10171e12i 0.677650 1.17372i −0.298037 0.954554i \(-0.596332\pi\)
0.975687 0.219170i \(-0.0703349\pi\)
\(338\) 4.40536e12 2.54344e12i 0.998615 0.576551i
\(339\) 3.96273e12 + 6.86365e12i 0.885107 + 1.53305i
\(340\) 1.09002e12i 0.239905i
\(341\) −4.56576e12 7.90813e12i −0.990241 1.71515i
\(342\) −1.93479e12 −0.413526
\(343\) 1.04784e13i 2.20711i
\(344\) −9.66790e11 + 1.32777e12i −0.200697 + 0.275633i
\(345\) 2.09864e12 0.429380
\(346\) 4.38260e12i 0.883795i
\(347\) 1.68702e12 9.74001e11i 0.335330 0.193603i −0.322875 0.946442i \(-0.604649\pi\)
0.658205 + 0.752839i \(0.271316\pi\)
\(348\) 8.13389e11 0.159368
\(349\) −7.71504e12 + 4.45428e12i −1.49008 + 0.860301i −0.999936 0.0113380i \(-0.996391\pi\)
−0.490149 + 0.871639i \(0.663058\pi\)
\(350\) 5.05681e12 + 8.75865e12i 0.962800 + 1.66762i
\(351\) −1.37798e12 7.95578e11i −0.258647 0.149330i
\(352\) 9.49803e12i 1.75760i
\(353\) −3.26585e12 + 5.65662e12i −0.595831 + 1.03201i 0.397598 + 0.917560i \(0.369844\pi\)
−0.993429 + 0.114450i \(0.963489\pi\)
\(354\) −2.78177e11 4.81816e11i −0.0500385 0.0866693i
\(355\) 2.39138e12 0.424137
\(356\) −5.20180e12 + 3.00326e12i −0.909711 + 0.525222i
\(357\) 4.34167e12 7.51999e12i 0.748713 1.29681i
\(358\) −4.26372e12 + 7.38497e12i −0.725059 + 1.25584i
\(359\) −4.74992e12 + 8.22710e12i −0.796551 + 1.37967i 0.125298 + 0.992119i \(0.460011\pi\)
−0.921849 + 0.387548i \(0.873322\pi\)
\(360\) −2.21117e11 −0.0365687
\(361\) 1.85178e12 3.20738e12i 0.302033 0.523136i
\(362\) 4.73584e12 + 2.73424e12i 0.761823 + 0.439839i
\(363\) 6.31885e12 3.64819e12i 1.00255 0.578821i
\(364\) 2.62022e12 1.51278e12i 0.410044 0.236739i
\(365\) −2.11005e12 −0.325708
\(366\) 5.35172e12i 0.814870i
\(367\) −3.76646e11 6.52370e11i −0.0565722 0.0979859i 0.836352 0.548192i \(-0.184684\pi\)
−0.892925 + 0.450206i \(0.851350\pi\)
\(368\) −3.56603e12 6.17654e12i −0.528379 0.915179i
\(369\) −1.07185e12 + 1.85651e12i −0.156676 + 0.271372i
\(370\) 4.34501e12 + 2.50859e12i 0.626588 + 0.361761i
\(371\) 6.78885e12i 0.965888i
\(372\) 7.09206e12 + 4.09460e12i 0.995538 + 0.574774i
\(373\) −2.50038e12 1.44359e12i −0.346307 0.199940i 0.316750 0.948509i \(-0.397408\pi\)
−0.663058 + 0.748568i \(0.730742\pi\)
\(374\) −8.90553e12 5.14161e12i −1.21703 0.702653i
\(375\) 3.25313e12 + 5.63459e12i 0.438678 + 0.759812i
\(376\) 3.55184e12i 0.472622i
\(377\) 4.50873e11 2.60311e11i 0.0592035 0.0341811i
\(378\) 1.33207e13 + 7.69068e12i 1.72610 + 0.996565i
\(379\) 1.03956e13 1.32939 0.664695 0.747114i \(-0.268561\pi\)
0.664695 + 0.747114i \(0.268561\pi\)
\(380\) −1.61320e12 + 2.79415e12i −0.203597 + 0.352640i
\(381\) −7.45613e12 + 4.30480e12i −0.928728 + 0.536201i
\(382\) −3.26233e12 5.65053e12i −0.401062 0.694660i
\(383\) 4.32507e11i 0.0524806i −0.999656 0.0262403i \(-0.991646\pi\)
0.999656 0.0262403i \(-0.00835351\pi\)
\(384\) 3.07341e12 + 5.32330e12i 0.368099 + 0.637565i
\(385\) 9.40230e12 1.11155
\(386\) 9.49993e12i 1.10862i
\(387\) −1.96290e12 + 8.71500e11i −0.226122 + 0.100395i
\(388\) −4.20457e12 −0.478148
\(389\) 1.27216e13i 1.42822i −0.700036 0.714108i \(-0.746833\pi\)
0.700036 0.714108i \(-0.253167\pi\)
\(390\) 1.77397e12 1.02420e12i 0.196618 0.113517i
\(391\) 6.04748e12 0.661745
\(392\) 6.09048e12 3.51634e12i 0.657993 0.379893i
\(393\) −4.35823e12 7.54867e12i −0.464887 0.805207i
\(394\) 9.68789e12 + 5.59330e12i 1.02035 + 0.589098i
\(395\) 2.46437e12i 0.256283i
\(396\) −1.27496e12 + 2.20829e12i −0.130924 + 0.226767i
\(397\) −2.15736e12 3.73666e12i −0.218761 0.378906i 0.735668 0.677342i \(-0.236868\pi\)
−0.954430 + 0.298436i \(0.903535\pi\)
\(398\) −4.48570e12 −0.449174
\(399\) 2.22588e13 1.28511e13i 2.20109 1.27080i
\(400\) 4.95448e12 8.58142e12i 0.483836 0.838029i
\(401\) 6.22445e12 1.07811e13i 0.600315 1.03978i −0.392459 0.919770i \(-0.628375\pi\)
0.992773 0.120006i \(-0.0382913\pi\)
\(402\) −8.23993e12 + 1.42720e13i −0.784862 + 1.35942i
\(403\) 5.24164e12 0.493107
\(404\) −8.44537e11 + 1.46278e12i −0.0784715 + 0.135917i
\(405\) 4.85242e12 + 2.80155e12i 0.445331 + 0.257112i
\(406\) −4.35849e12 + 2.51638e12i −0.395099 + 0.228110i
\(407\) −1.74551e13 + 1.00777e13i −1.56297 + 0.902379i
\(408\) −3.21259e12 −0.284155
\(409\) 7.86317e12i 0.687039i −0.939146 0.343519i \(-0.888381\pi\)
0.939146 0.343519i \(-0.111619\pi\)
\(410\) 4.19745e12 + 7.27020e12i 0.362298 + 0.627519i
\(411\) 6.08592e12 + 1.05411e13i 0.518940 + 0.898831i
\(412\) −3.63788e12 + 6.30100e12i −0.306452 + 0.530791i
\(413\) 1.26948e12 + 7.32932e11i 0.105651 + 0.0609977i
\(414\) 3.52156e12i 0.289557i
\(415\) −6.66493e12 3.84800e12i −0.541446 0.312604i
\(416\) −4.72159e12 2.72601e12i −0.378984 0.218807i
\(417\) −1.68936e13 9.75353e12i −1.33981 0.773538i
\(418\) −1.52189e13 2.63600e13i −1.19262 2.06568i
\(419\) 6.33060e12i 0.490201i 0.969498 + 0.245101i \(0.0788210\pi\)
−0.969498 + 0.245101i \(0.921179\pi\)
\(420\) −7.30236e12 + 4.21602e12i −0.558749 + 0.322594i
\(421\) 1.72808e13 + 9.97707e12i 1.30663 + 0.754384i 0.981532 0.191296i \(-0.0612691\pi\)
0.325099 + 0.945680i \(0.394602\pi\)
\(422\) −1.24668e12 −0.0931523
\(423\) −2.32218e12 + 4.02214e12i −0.171473 + 0.296999i
\(424\) 2.17518e12 1.25584e12i 0.158733 0.0916445i
\(425\) 4.20105e12 + 7.27644e12i 0.302980 + 0.524776i
\(426\) 2.02321e13i 1.44209i
\(427\) 7.05028e12 + 1.22114e13i 0.496669 + 0.860256i
\(428\) −5.22058e12 −0.363496
\(429\) 8.22898e12i 0.566317i
\(430\) −8.87805e11 + 8.36343e12i −0.0603914 + 0.568908i
\(431\) 5.10507e12 0.343254 0.171627 0.985162i \(-0.445098\pi\)
0.171627 + 0.985162i \(0.445098\pi\)
\(432\) 1.50701e13i 1.00161i
\(433\) 7.76830e12 4.48503e12i 0.510372 0.294663i −0.222615 0.974907i \(-0.571459\pi\)
0.732986 + 0.680243i \(0.238126\pi\)
\(434\) −5.06698e13 −3.29079
\(435\) −1.25655e12 + 7.25471e11i −0.0806741 + 0.0465772i
\(436\) 1.03710e13 + 1.79630e13i 0.658244 + 1.14011i
\(437\) 1.55021e13 + 8.95014e12i 0.972710 + 0.561594i
\(438\) 1.78520e13i 1.10743i
\(439\) −3.42209e12 + 5.92723e12i −0.209879 + 0.363521i −0.951676 0.307103i \(-0.900640\pi\)
0.741797 + 0.670624i \(0.233974\pi\)
\(440\) −1.73930e12 3.01255e12i −0.105465 0.182671i
\(441\) 9.19591e12 0.551317
\(442\) 5.11191e12 2.95136e12i 0.303021 0.174949i
\(443\) −2.11850e12 + 3.66935e12i −0.124168 + 0.215065i −0.921407 0.388598i \(-0.872960\pi\)
0.797239 + 0.603663i \(0.206293\pi\)
\(444\) 9.03774e12 1.56538e13i 0.523775 0.907205i
\(445\) 5.35728e12 9.27908e12i 0.307004 0.531747i
\(446\) −1.94939e13 −1.10465
\(447\) −1.06666e13 + 1.84751e13i −0.597707 + 1.03526i
\(448\) 1.21810e13 + 7.03269e12i 0.674982 + 0.389701i
\(449\) −1.88162e13 + 1.08635e13i −1.03110 + 0.595305i −0.917299 0.398199i \(-0.869636\pi\)
−0.113800 + 0.993504i \(0.536302\pi\)
\(450\) 4.23721e12 2.44635e12i 0.229624 0.132573i
\(451\) −3.37246e13 −1.80744
\(452\) 2.21773e13i 1.17548i
\(453\) 1.31137e13 + 2.27135e13i 0.687437 + 1.19067i
\(454\) −1.46206e13 2.53236e13i −0.758028 1.31294i
\(455\) −2.69853e12 + 4.67400e12i −0.138379 + 0.239680i
\(456\) −8.23515e12 4.75457e12i −0.417684 0.241150i
\(457\) 1.57291e13i 0.789083i 0.918878 + 0.394541i \(0.129097\pi\)
−0.918878 + 0.394541i \(0.870903\pi\)
\(458\) 1.58470e13 + 9.14925e12i 0.786355 + 0.454002i
\(459\) 1.10664e13 + 6.38920e12i 0.543180 + 0.313605i
\(460\) −5.08571e12 2.93624e12i −0.246923 0.142561i
\(461\) −1.78027e13 3.08352e13i −0.855031 1.48096i −0.876616 0.481190i \(-0.840205\pi\)
0.0215850 0.999767i \(-0.493129\pi\)
\(462\) 7.95478e13i 3.77936i
\(463\) 7.54500e12 4.35611e12i 0.354613 0.204736i −0.312102 0.950049i \(-0.601033\pi\)
0.666715 + 0.745313i \(0.267700\pi\)
\(464\) 4.27030e12 + 2.46546e12i 0.198549 + 0.114632i
\(465\) −1.46081e13 −0.671937
\(466\) −4.72085e12 + 8.17675e12i −0.214828 + 0.372093i
\(467\) 2.56911e13 1.48328e13i 1.15664 0.667787i 0.206145 0.978522i \(-0.433908\pi\)
0.950497 + 0.310734i \(0.100575\pi\)
\(468\) −7.31845e11 1.26759e12i −0.0325979 0.0564612i
\(469\) 4.34206e13i 1.91352i
\(470\) 9.09383e12 + 1.57510e13i 0.396513 + 0.686780i
\(471\) −2.52290e13 −1.08842
\(472\) 5.42329e11i 0.0231501i
\(473\) −2.73135e13 1.98878e13i −1.15365 0.840003i
\(474\) 2.08497e13 0.871380
\(475\) 2.48699e13i 1.02850i
\(476\) −2.10427e13 + 1.21490e13i −0.861125 + 0.497171i
\(477\) 3.28427e12 0.132999
\(478\) −2.87066e13 + 1.65738e13i −1.15038 + 0.664173i
\(479\) −1.44874e13 2.50929e13i −0.574529 0.995114i −0.996093 0.0883149i \(-0.971852\pi\)
0.421563 0.906799i \(-0.361482\pi\)
\(480\) 1.31588e13 + 7.59721e12i 0.516426 + 0.298159i
\(481\) 1.15695e13i 0.449355i
\(482\) 2.89867e12 5.02064e12i 0.111420 0.192985i
\(483\) 2.33907e13 + 4.05139e13i 0.889832 + 1.54123i
\(484\) −2.04170e13 −0.768713
\(485\) 6.49536e12 3.75010e12i 0.242044 0.139744i
\(486\) 8.66420e12 1.50068e13i 0.319556 0.553487i
\(487\) 1.82634e13 3.16331e13i 0.666709 1.15477i −0.312110 0.950046i \(-0.601036\pi\)
0.978819 0.204727i \(-0.0656308\pi\)
\(488\) 2.60841e12 4.51790e12i 0.0942489 0.163244i
\(489\) 5.12987e13 1.83469
\(490\) 1.80059e13 3.11871e13i 0.637433 1.10407i
\(491\) 1.37248e13 + 7.92403e12i 0.480949 + 0.277676i 0.720812 0.693131i \(-0.243769\pi\)
−0.239863 + 0.970807i \(0.577102\pi\)
\(492\) 2.61924e13 1.51222e13i 0.908553 0.524553i
\(493\) −3.62091e12 + 2.09053e12i −0.124332 + 0.0717832i
\(494\) 1.74718e13 0.593886
\(495\) 4.54859e12i 0.153056i
\(496\) 2.48222e13 + 4.29934e13i 0.826861 + 1.43217i
\(497\) 2.66535e13 + 4.61652e13i 0.878967 + 1.52242i
\(498\) −3.25558e13 + 5.63884e13i −1.06288 + 1.84095i
\(499\) −4.49842e13 2.59716e13i −1.45397 0.839453i −0.455271 0.890353i \(-0.650458\pi\)
−0.998704 + 0.0509002i \(0.983791\pi\)
\(500\) 1.82060e13i 0.582593i
\(501\) 5.77480e12 + 3.33408e12i 0.182957 + 0.105630i
\(502\) −1.62438e13 9.37837e12i −0.509530 0.294177i
\(503\) 3.20815e13 + 1.85223e13i 0.996356 + 0.575247i 0.907168 0.420768i \(-0.138239\pi\)
0.0891882 + 0.996015i \(0.471573\pi\)
\(504\) −2.46450e12 4.26864e12i −0.0757838 0.131261i
\(505\) 3.01301e12i 0.0917368i
\(506\) 4.79785e13 2.77004e13i 1.44642 0.835091i
\(507\) 2.83115e13 + 1.63456e13i 0.845129 + 0.487935i
\(508\) 2.40916e13 0.712111
\(509\) −2.45339e13 + 4.24939e13i −0.718088 + 1.24376i 0.243669 + 0.969859i \(0.421649\pi\)
−0.961756 + 0.273906i \(0.911684\pi\)
\(510\) −1.42466e13 + 8.22526e12i −0.412914 + 0.238396i
\(511\) −2.35179e13 4.07342e13i −0.674986 1.16911i
\(512\) 3.73420e13i 1.06132i
\(513\) 1.89118e13 + 3.27561e13i 0.532286 + 0.921947i
\(514\) 7.64909e13 2.13203
\(515\) 1.29787e13i 0.358257i
\(516\) 3.01310e13 + 3.19851e12i 0.823692 + 0.0874377i
\(517\) −7.30646e13 −1.97813
\(518\) 1.11840e14i 2.99880i
\(519\) 2.43918e13 1.40826e13i 0.647750 0.373978i
\(520\) 1.99677e12 0.0525183
\(521\) 5.73469e11 3.31092e11i 0.0149390 0.00862502i −0.492512 0.870306i \(-0.663921\pi\)
0.507451 + 0.861681i \(0.330588\pi\)
\(522\) 1.21736e12 + 2.10852e12i 0.0314098 + 0.0544034i
\(523\) −2.58371e13 1.49171e13i −0.660292 0.381220i 0.132096 0.991237i \(-0.457829\pi\)
−0.792388 + 0.610017i \(0.791163\pi\)
\(524\) 2.43907e13i 0.617401i
\(525\) −3.24981e13 + 5.62883e13i −0.814819 + 1.41131i
\(526\) 8.86702e12 + 1.53581e13i 0.220216 + 0.381425i
\(527\) −4.20950e13 −1.03557
\(528\) −6.74964e13 + 3.89691e13i −1.64479 + 0.949621i
\(529\) 4.42285e12 7.66060e12i 0.106764 0.184920i
\(530\) 6.43071e12 1.11383e13i 0.153773 0.266342i
\(531\) 3.54574e11 6.14139e11i 0.00839912 0.0145477i
\(532\) −7.19210e13 −1.68771
\(533\) 9.67921e12 1.67649e13i 0.225011 0.389731i
\(534\) −7.85053e13 4.53251e13i −1.80798 1.04384i
\(535\) 8.06494e12 4.65629e12i 0.184006 0.106236i
\(536\) −1.39122e13 + 8.03221e12i −0.314465 + 0.181556i
\(537\) −5.48024e13 −1.22724
\(538\) 2.62281e13i 0.581910i
\(539\) 7.23345e13 + 1.25287e14i 1.59002 + 2.75399i
\(540\) −6.20430e12 1.07462e13i −0.135121 0.234037i
\(541\) 3.52141e13 6.09926e13i 0.759854 1.31611i −0.183070 0.983100i \(-0.558603\pi\)
0.942924 0.333007i \(-0.108063\pi\)
\(542\) 2.56722e12 + 1.48218e12i 0.0548866 + 0.0316888i
\(543\) 3.51437e13i 0.744472i
\(544\) 3.79186e13 + 2.18923e13i 0.795899 + 0.459512i
\(545\) −3.20429e13 1.85000e13i −0.666421 0.384759i
\(546\) 3.95442e13 + 2.28308e13i 0.814928 + 0.470499i
\(547\) −2.88067e13 4.98946e13i −0.588243 1.01887i −0.994463 0.105091i \(-0.966487\pi\)
0.406220 0.913775i \(-0.366847\pi\)
\(548\) 3.40597e13i 0.689188i
\(549\) 5.90758e12 3.41074e12i 0.118454 0.0683892i
\(550\) 6.66593e13 + 3.84857e13i 1.32448 + 0.764692i
\(551\) −1.23758e13 −0.243677
\(552\) 8.65392e12 1.49890e13i 0.168856 0.292468i
\(553\) −4.75743e13 + 2.74670e13i −0.919913 + 0.531112i
\(554\) −1.34672e12 2.33259e12i −0.0258065 0.0446982i
\(555\) 3.22434e13i 0.612317i
\(556\) 2.72926e13 + 4.72723e13i 0.513655 + 0.889677i
\(557\) 5.63624e13 1.05127 0.525634 0.850711i \(-0.323828\pi\)
0.525634 + 0.850711i \(0.323828\pi\)
\(558\) 2.45127e13i 0.453128i
\(559\) 1.77257e13 7.86995e12i 0.324746 0.144183i
\(560\) −5.11166e13 −0.928158
\(561\) 6.60861e13i 1.18931i
\(562\) 7.66412e13 4.42488e13i 1.36704 0.789260i
\(563\) −1.54472e13 −0.273091 −0.136546 0.990634i \(-0.543600\pi\)
−0.136546 + 0.990634i \(0.543600\pi\)
\(564\) 5.67462e13 3.27624e13i 0.994354 0.574091i
\(565\) 1.97802e13 + 3.42602e13i 0.343548 + 0.595043i
\(566\) −6.64836e13 3.83843e13i −1.14454 0.660802i
\(567\) 1.24901e14i 2.13132i
\(568\) 9.86106e12 1.70799e13i 0.166795 0.288897i
\(569\) 7.84879e12 + 1.35945e13i 0.131596 + 0.227930i 0.924292 0.381687i \(-0.124657\pi\)
−0.792696 + 0.609617i \(0.791323\pi\)
\(570\) −4.86928e13 −0.809264
\(571\) 6.00504e13 3.46701e13i 0.989316 0.571182i 0.0842463 0.996445i \(-0.473152\pi\)
0.905070 + 0.425263i \(0.139818\pi\)
\(572\) 1.15133e13 1.99416e13i 0.188027 0.325672i
\(573\) 2.09657e13 3.63137e13i 0.339419 0.587891i
\(574\) −9.35669e13 + 1.62063e14i −1.50163 + 2.60090i
\(575\) −4.52664e13 −0.720172
\(576\) 3.40223e12 5.89284e12i 0.0536601 0.0929421i
\(577\) −5.24907e12 3.03055e12i −0.0820736 0.0473852i 0.458402 0.888745i \(-0.348422\pi\)
−0.540475 + 0.841360i \(0.681756\pi\)
\(578\) 3.26776e13 1.88664e13i 0.506537 0.292449i
\(579\) 5.28728e13 3.05261e13i 0.812530 0.469114i
\(580\) 4.06007e12 0.0618577
\(581\) 1.71554e14i 2.59132i
\(582\) −3.17276e13 5.49538e13i −0.475140 0.822967i
\(583\) 2.58339e13 + 4.47456e13i 0.383572 + 0.664366i
\(584\) −8.70098e12 + 1.50705e13i −0.128087 + 0.221853i
\(585\) 2.26116e12 + 1.30548e12i 0.0330029 + 0.0190542i
\(586\) 5.21256e13i 0.754332i
\(587\) −4.74073e13 2.73706e13i −0.680228 0.392730i 0.119713 0.992809i \(-0.461803\pi\)
−0.799941 + 0.600079i \(0.795136\pi\)
\(588\) −1.12358e14 6.48700e13i −1.59852 0.922906i
\(589\) −1.07906e14 6.22997e13i −1.52220 0.878840i
\(590\) −1.38853e12 2.40501e12i −0.0194221 0.0336401i
\(591\) 7.18918e13i 0.997108i
\(592\) 9.48963e13 5.47884e13i 1.30509 0.753495i
\(593\) −1.02734e14 5.93137e13i −1.40101 0.808875i −0.406516 0.913644i \(-0.633256\pi\)
−0.994497 + 0.104769i \(0.966590\pi\)
\(594\) 1.17063e14 1.58302
\(595\) 2.16717e13 3.75364e13i 0.290608 0.503347i
\(596\) 5.16976e13 2.98476e13i 0.687447 0.396898i
\(597\) −1.44139e13 2.49656e13i −0.190068 0.329208i
\(598\) 3.18009e13i 0.415847i
\(599\) 5.82416e13 + 1.00877e14i 0.755265 + 1.30816i 0.945243 + 0.326369i \(0.105825\pi\)
−0.189978 + 0.981788i \(0.560842\pi\)
\(600\) 2.40468e13 0.309243
\(601\) 8.01846e13i 1.02263i −0.859393 0.511315i \(-0.829159\pi\)
0.859393 0.511315i \(-0.170841\pi\)
\(602\) −1.71350e14 + 7.60771e13i −2.16722 + 0.962214i
\(603\) −2.10058e13 −0.263483
\(604\) 7.33901e13i 0.912962i
\(605\) 3.15409e13 1.82101e13i 0.389132 0.224665i
\(606\) −2.54914e13 −0.311911
\(607\) 1.34296e13 7.75358e12i 0.162974 0.0940933i −0.416295 0.909230i \(-0.636671\pi\)
0.579269 + 0.815137i \(0.303338\pi\)
\(608\) 6.48003e13 + 1.12237e14i 0.779936 + 1.35089i
\(609\) −2.80103e13 1.61717e13i −0.334373 0.193050i
\(610\) 2.67134e13i 0.316286i
\(611\) 2.09701e13 3.63213e13i 0.246261 0.426536i
\(612\) 5.87737e12 + 1.01799e13i 0.0684583 + 0.118573i
\(613\) −2.83266e13 −0.327259 −0.163629 0.986522i \(-0.552320\pi\)
−0.163629 + 0.986522i \(0.552320\pi\)
\(614\) 1.40179e14 8.09324e13i 1.60635 0.927428i
\(615\) −2.69753e13 + 4.67226e13i −0.306613 + 0.531070i
\(616\) 3.87713e13 6.71538e13i 0.437126 0.757124i
\(617\) −3.48114e13 + 6.02952e13i −0.389310 + 0.674305i −0.992357 0.123401i \(-0.960620\pi\)
0.603047 + 0.797706i \(0.293953\pi\)
\(618\) −1.09806e14 −1.21810
\(619\) −2.09868e12 + 3.63502e12i −0.0230937 + 0.0399994i −0.877341 0.479867i \(-0.840685\pi\)
0.854248 + 0.519866i \(0.174018\pi\)
\(620\) 3.54004e13 + 2.04384e13i 0.386411 + 0.223094i
\(621\) −5.96203e13 + 3.44218e13i −0.645560 + 0.372714i
\(622\) −3.19001e13 + 1.84175e13i −0.342641 + 0.197824i
\(623\) 2.38842e14 2.54490
\(624\) 4.47377e13i 0.472880i
\(625\) −2.24844e13 3.89442e13i −0.235766 0.408359i
\(626\) 3.62744e13 + 6.28291e13i 0.377336 + 0.653566i
\(627\) 9.78060e13 1.69405e14i 1.00932 1.74819i
\(628\) 6.11384e13 + 3.52983e13i 0.625916 + 0.361373i
\(629\) 9.29135e13i 0.943682i
\(630\) −2.18582e13 1.26198e13i −0.220247 0.127160i
\(631\) 8.48425e13 + 4.89839e13i 0.848139 + 0.489673i 0.860022 0.510256i \(-0.170449\pi\)
−0.0118838 + 0.999929i \(0.503783\pi\)
\(632\) 1.76012e13 + 1.01620e13i 0.174565 + 0.100785i
\(633\) −4.00596e12 6.93853e12i −0.0394174 0.0682730i
\(634\) 4.38713e13i 0.428286i
\(635\) −3.72176e13 + 2.14876e13i −0.360479 + 0.208123i
\(636\) −4.01282e13 2.31680e13i −0.385624 0.222640i
\(637\) −8.30423e13 −0.791775
\(638\) −1.91513e13 + 3.31711e13i −0.181174 + 0.313802i
\(639\) 2.23335e13 1.28943e13i 0.209630 0.121030i
\(640\) 1.53411e13 + 2.65715e13i 0.142875 + 0.247466i
\(641\) 2.10300e14i 1.94334i 0.236335 + 0.971672i \(0.424054\pi\)
−0.236335 + 0.971672i \(0.575946\pi\)
\(642\) −3.93944e13 6.82331e13i −0.361210 0.625633i
\(643\) −1.66875e14 −1.51822 −0.759112 0.650960i \(-0.774367\pi\)
−0.759112 + 0.650960i \(0.774367\pi\)
\(644\) 1.30905e14i 1.18176i
\(645\) −4.94002e13 + 2.19330e13i −0.442517 + 0.196472i
\(646\) −1.40314e14 −1.24721
\(647\) 6.58925e13i 0.581185i −0.956847 0.290593i \(-0.906148\pi\)
0.956847 0.290593i \(-0.0938525\pi\)
\(648\) 4.00188e13 2.31049e13i 0.350259 0.202222i
\(649\) 1.11562e13 0.0968933
\(650\) −3.82635e13 + 2.20914e13i −0.329775 + 0.190396i
\(651\) −1.62817e14 2.82008e14i −1.39250 2.41188i
\(652\) −1.24314e14 7.17728e13i −1.05507 0.609147i
\(653\) 6.50591e13i 0.547951i −0.961737 0.273976i \(-0.911661\pi\)
0.961737 0.273976i \(-0.0883388\pi\)
\(654\) −1.56518e14 + 2.71097e14i −1.30821 + 2.26588i
\(655\) −2.17543e13 3.76796e13i −0.180442 0.312535i
\(656\) 1.83347e14 1.50923
\(657\) −1.97062e13 + 1.13774e13i −0.160981 + 0.0929426i
\(658\) −2.02714e14 + 3.51111e14i −1.64344 + 2.84652i
\(659\) 3.09888e13 5.36742e13i 0.249332 0.431855i −0.714009 0.700137i \(-0.753122\pi\)
0.963341 + 0.268281i \(0.0864557\pi\)
\(660\) −3.20868e13 + 5.55759e13i −0.256216 + 0.443779i
\(661\) 1.13562e14 0.899969 0.449985 0.893036i \(-0.351429\pi\)
0.449985 + 0.893036i \(0.351429\pi\)
\(662\) 6.57851e13 1.13943e14i 0.517413 0.896186i
\(663\) 3.28522e13 + 1.89672e13i 0.256447 + 0.148059i
\(664\) −5.49669e13 + 3.17352e13i −0.425854 + 0.245867i
\(665\) 1.11106e14 6.41471e13i 0.854338 0.493252i
\(666\) 5.41053e13 0.412922
\(667\) 2.25255e13i 0.170626i
\(668\) −9.32953e12 1.61592e13i −0.0701419 0.121489i
\(669\) −6.26396e13 1.08495e14i −0.467432 0.809615i
\(670\) −4.11300e13 + 7.12393e13i −0.304639 + 0.527649i
\(671\) 9.29374e13 + 5.36574e13i 0.683247 + 0.394473i
\(672\) 3.38704e14i 2.47158i
\(673\) 2.35196e14 + 1.35790e14i 1.70355 + 0.983544i 0.942108 + 0.335309i \(0.108841\pi\)
0.761440 + 0.648235i \(0.224493\pi\)
\(674\) −2.15449e14 1.24390e14i −1.54898 0.894303i
\(675\) −8.28339e13 4.78242e13i −0.591139 0.341294i
\(676\) −4.57389e13 7.92221e13i −0.324005 0.561194i
\(677\) 3.22220e13i 0.226574i −0.993562 0.113287i \(-0.963862\pi\)
0.993562 0.113287i \(-0.0361379\pi\)
\(678\) 2.89857e14 1.67349e14i 2.02319 1.16809i
\(679\) 1.44791e14 + 8.35949e13i 1.00321 + 0.579203i
\(680\) −1.60358e13 −0.110293
\(681\) 9.39606e13 1.62745e14i 0.641520 1.11115i
\(682\) −3.33967e14 + 1.92816e14i −2.26350 + 1.30683i
\(683\) −5.21423e13 9.03131e13i −0.350822 0.607641i 0.635572 0.772042i \(-0.280764\pi\)
−0.986394 + 0.164401i \(0.947431\pi\)
\(684\) 3.47935e13i 0.232390i
\(685\) 3.03782e13 + 5.26166e13i 0.201423 + 0.348875i
\(686\) 4.42512e14 2.91276
\(687\) 1.17597e14i 0.768445i
\(688\) 1.48493e14 + 1.08122e14i 0.963305 + 0.701410i
\(689\) −2.96581e13 −0.191006
\(690\) 8.86271e13i 0.566658i
\(691\) −5.40573e13 + 3.12100e13i −0.343134 + 0.198108i −0.661657 0.749807i \(-0.730147\pi\)
0.318523 + 0.947915i \(0.396813\pi\)
\(692\) −7.88128e13 −0.496668
\(693\) 8.78100e13 5.06971e13i 0.549386 0.317188i
\(694\) −4.11329e13 7.12442e13i −0.255500 0.442540i
\(695\) −8.43253e13 4.86852e13i −0.520037 0.300243i
\(696\) 1.19662e13i 0.0732672i
\(697\) −7.77328e13 + 1.34637e14i −0.472542 + 0.818467i
\(698\) 1.88108e14 + 3.25812e14i 1.13535 + 1.96648i
\(699\) −6.06780e13 −0.363618
\(700\) 1.57508e14 9.09371e13i 0.937155 0.541067i
\(701\) 6.55845e13 1.13596e14i 0.387446 0.671076i −0.604659 0.796484i \(-0.706691\pi\)
0.992105 + 0.125408i \(0.0400240\pi\)
\(702\) −3.35979e13 + 5.81933e13i −0.197073 + 0.341340i
\(703\) −1.37510e14 + 2.38174e14i −0.800862 + 1.38713i
\(704\) 1.07047e14 0.619030
\(705\) −5.84423e13 + 1.01225e14i −0.335569 + 0.581223i
\(706\) 2.38884e14 + 1.37920e14i 1.36196 + 0.786326i
\(707\) 5.81658e13 3.35820e13i 0.329284 0.190112i
\(708\) −8.66456e12 + 5.00248e12i −0.0487057 + 0.0281203i
\(709\) −1.93978e14 −1.08273 −0.541365 0.840787i \(-0.682092\pi\)
−0.541365 + 0.840787i \(0.682092\pi\)
\(710\) 1.00990e14i 0.559739i
\(711\) 1.32878e13 + 2.30152e13i 0.0731318 + 0.126668i
\(712\) −4.41825e13 7.65263e13i −0.241463 0.418226i
\(713\) 1.13393e14 1.96403e14i 0.615376 1.06586i
\(714\) −3.17575e14 1.83352e14i −1.71142 0.988087i
\(715\) 4.10754e13i 0.219812i
\(716\) 1.32805e14 + 7.66749e13i 0.705746 + 0.407463i
\(717\) −1.84486e14 1.06513e14i −0.973569 0.562090i
\(718\) 3.47437e14 + 2.00593e14i 1.82077 + 1.05122i
\(719\) 1.33706e14 + 2.31585e14i 0.695835 + 1.20522i 0.969898 + 0.243510i \(0.0782989\pi\)
−0.274063 + 0.961712i \(0.588368\pi\)
\(720\) 2.47289e13i 0.127803i
\(721\) 2.50552e14 1.44656e14i 1.28594 0.742439i
\(722\) −1.35450e14 7.82023e13i −0.690389 0.398596i
\(723\) 3.72571e13 0.188590
\(724\) 4.91701e13 8.51651e13i 0.247177 0.428123i
\(725\) 2.71031e13 1.56480e13i 0.135310 0.0781210i
\(726\) −1.54066e14 2.66850e14i −0.763878 1.32307i
\(727\) 1.72224e14i 0.848050i 0.905651 + 0.424025i \(0.139383\pi\)
−0.905651 + 0.424025i \(0.860617\pi\)
\(728\) 2.22553e13 + 3.85473e13i 0.108837 + 0.188511i
\(729\) −1.32865e14 −0.645316
\(730\) 8.91090e13i 0.429841i
\(731\) −1.42353e14 + 6.32027e13i −0.681993 + 0.302795i
\(732\) −9.62406e13 −0.457934
\(733\) 5.24548e13i 0.247894i −0.992289 0.123947i \(-0.960445\pi\)
0.992289 0.123947i \(-0.0395552\pi\)
\(734\) −2.75501e13 + 1.59061e13i −0.129313 + 0.0746590i
\(735\) 2.31433e14 1.07892
\(736\) −2.04286e14 + 1.17945e14i −0.945911 + 0.546122i
\(737\) −1.65230e14 2.86187e14i −0.759892 1.31617i
\(738\) 7.84017e13 + 4.52653e13i 0.358133 + 0.206768i
\(739\) 1.50591e14i 0.683246i −0.939837 0.341623i \(-0.889023\pi\)
0.939837 0.341623i \(-0.110977\pi\)
\(740\) 4.51123e13 7.81368e13i 0.203300 0.352125i
\(741\) 5.61422e13 + 9.72411e13i 0.251303 + 0.435270i
\(742\) 2.86699e14 1.27470
\(743\) −1.07680e14 + 6.21691e13i −0.475544 + 0.274556i −0.718558 0.695467i \(-0.755197\pi\)
0.243013 + 0.970023i \(0.421864\pi\)
\(744\) −6.02378e13 + 1.04335e14i −0.264244 + 0.457683i
\(745\) −5.32429e13 + 9.22193e13i −0.231996 + 0.401828i
\(746\) −6.09641e13 + 1.05593e14i −0.263864 + 0.457026i
\(747\) −8.29935e13 −0.356813
\(748\) −9.24621e13 + 1.60149e14i −0.394872 + 0.683938i
\(749\) 1.79778e14 + 1.03795e14i 0.762656 + 0.440320i
\(750\) 2.37953e14 1.37382e14i 1.00273 0.578928i
\(751\) −1.97168e14 + 1.13835e14i −0.825347 + 0.476514i −0.852257 0.523123i \(-0.824767\pi\)
0.0269097 + 0.999638i \(0.491433\pi\)
\(752\) 3.97224e14 1.65176
\(753\) 1.20542e14i 0.497925i
\(754\) −1.09932e13 1.90407e13i −0.0451093 0.0781316i
\(755\) 6.54574e13 + 1.13376e14i 0.266824 + 0.462152i
\(756\) 1.38302e14 2.39547e14i 0.560042 0.970021i
\(757\) −4.05546e14 2.34142e14i −1.63140 0.941890i −0.983661 0.180029i \(-0.942381\pi\)
−0.647740 0.761861i \(-0.724286\pi\)
\(758\) 4.39014e14i 1.75441i
\(759\) 3.08339e14 + 1.78019e14i 1.22411 + 0.706738i
\(760\) −4.11062e13 2.37327e13i −0.162121 0.0936006i
\(761\) −5.43707e13 3.13909e13i