Properties

Label 43.7.d.a.37.15
Level 43
Weight 7
Character 43.37
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 37.15
Character \(\chi\) \(=\) 43.37
Dual form 43.7.d.a.7.7

$q$-expansion

\(f(q)\) \(=\) \(q+6.95456i q^{2} +(-14.3583 - 8.28978i) q^{3} +15.6341 q^{4} +(9.86801 + 5.69730i) q^{5} +(57.6517 - 99.8557i) q^{6} +(-310.875 + 179.484i) q^{7} +553.820i q^{8} +(-227.059 - 393.278i) q^{9} +O(q^{10})\) \(q+6.95456i q^{2} +(-14.3583 - 8.28978i) q^{3} +15.6341 q^{4} +(9.86801 + 5.69730i) q^{5} +(57.6517 - 99.8557i) q^{6} +(-310.875 + 179.484i) q^{7} +553.820i q^{8} +(-227.059 - 393.278i) q^{9} +(-39.6222 + 68.6277i) q^{10} -1005.14 q^{11} +(-224.480 - 129.604i) q^{12} +(-901.804 - 1561.97i) q^{13} +(-1248.23 - 2162.00i) q^{14} +(-94.4587 - 163.607i) q^{15} -2850.99 q^{16} +(-1332.58 - 2308.09i) q^{17} +(2735.07 - 1579.10i) q^{18} +(-2771.47 - 1600.11i) q^{19} +(154.278 + 89.0724i) q^{20} +5951.53 q^{21} -6990.29i q^{22} +(-516.012 + 893.760i) q^{23} +(4591.05 - 7951.92i) q^{24} +(-7747.58 - 13419.2i) q^{25} +(10862.8 - 6271.65i) q^{26} +19615.6i q^{27} +(-4860.27 + 2806.08i) q^{28} +(-27655.6 + 15967.0i) q^{29} +(1137.82 - 656.918i) q^{30} +(-12598.6 + 21821.3i) q^{31} +15617.1i q^{32} +(14432.1 + 8332.38i) q^{33} +(16051.8 - 9267.49i) q^{34} -4090.30 q^{35} +(-3549.87 - 6148.56i) q^{36} +(13186.5 + 7613.22i) q^{37} +(11128.1 - 19274.4i) q^{38} +29903.0i q^{39} +(-3155.28 + 5465.10i) q^{40} +34456.6 q^{41} +41390.3i q^{42} +(60437.9 + 51658.8i) q^{43} -15714.5 q^{44} -5174.50i q^{45} +(-6215.70 - 3588.64i) q^{46} +101043. q^{47} +(40935.4 + 23634.1i) q^{48} +(5604.54 - 9707.34i) q^{49} +(93324.6 - 53881.0i) q^{50} +44187.1i q^{51} +(-14098.9 - 24420.1i) q^{52} +(41465.7 - 71820.7i) q^{53} -136418. q^{54} +(-9918.72 - 5726.58i) q^{55} +(-99401.9 - 172169. i) q^{56} +(26529.1 + 45949.8i) q^{57} +(-111043. - 192333. i) q^{58} +122696. q^{59} +(-1476.78 - 2557.86i) q^{60} +(-342276. + 197613. i) q^{61} +(-151758. - 87617.4i) q^{62} +(141174. + 81507.0i) q^{63} -291073. q^{64} -20551.4i q^{65} +(-57948.0 + 100369. i) q^{66} +(77054.5 - 133462. i) q^{67} +(-20833.7 - 36085.0i) q^{68} +(14818.1 - 8555.26i) q^{69} -28446.2i q^{70} +(-172204. + 99422.2i) q^{71} +(217805. - 125750. i) q^{72} +(-21379.0 + 12343.2i) q^{73} +(-52946.5 + 91706.1i) q^{74} +256903. i q^{75} +(-43329.6 - 25016.4i) q^{76} +(312473. - 180406. i) q^{77} -207962. q^{78} +(-306288. - 530507. i) q^{79} +(-28133.6 - 16242.9i) q^{80} +(-2917.37 + 5053.04i) q^{81} +239630. i q^{82} +(214087. - 370810. i) q^{83} +93047.1 q^{84} -30368.4i q^{85} +(-359264. + 420319. i) q^{86} +529451. q^{87} -556666. i q^{88} +(902697. + 521172. i) q^{89} +35986.3 q^{90} +(560698. + 323719. i) q^{91} +(-8067.41 + 13973.2i) q^{92} +(361788. - 208878. i) q^{93} +702711. i q^{94} +(-18232.6 - 31579.8i) q^{95} +(129463. - 224236. i) q^{96} -1.53601e6 q^{97} +(67510.3 + 38977.1i) q^{98} +(228226. + 395299. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.95456i 0.869320i 0.900595 + 0.434660i \(0.143131\pi\)
−0.900595 + 0.434660i \(0.856869\pi\)
\(3\) −14.3583 8.28978i −0.531789 0.307029i 0.209955 0.977711i \(-0.432668\pi\)
−0.741745 + 0.670682i \(0.766001\pi\)
\(4\) 15.6341 0.244283
\(5\) 9.86801 + 5.69730i 0.0789441 + 0.0455784i 0.538952 0.842336i \(-0.318820\pi\)
−0.460008 + 0.887915i \(0.652154\pi\)
\(6\) 57.6517 99.8557i 0.266906 0.462295i
\(7\) −310.875 + 179.484i −0.906342 + 0.523277i −0.879253 0.476356i \(-0.841957\pi\)
−0.0270899 + 0.999633i \(0.508624\pi\)
\(8\) 553.820i 1.08168i
\(9\) −227.059 393.278i −0.311467 0.539476i
\(10\) −39.6222 + 68.6277i −0.0396222 + 0.0686277i
\(11\) −1005.14 −0.755176 −0.377588 0.925974i \(-0.623246\pi\)
−0.377588 + 0.925974i \(0.623246\pi\)
\(12\) −224.480 129.604i −0.129907 0.0750021i
\(13\) −901.804 1561.97i −0.410471 0.710956i 0.584471 0.811415i \(-0.301302\pi\)
−0.994941 + 0.100459i \(0.967969\pi\)
\(14\) −1248.23 2162.00i −0.454895 0.787901i
\(15\) −94.4587 163.607i −0.0279878 0.0484762i
\(16\) −2850.99 −0.696042
\(17\) −1332.58 2308.09i −0.271235 0.469793i 0.697943 0.716153i \(-0.254099\pi\)
−0.969178 + 0.246360i \(0.920765\pi\)
\(18\) 2735.07 1579.10i 0.468977 0.270764i
\(19\) −2771.47 1600.11i −0.404064 0.233286i 0.284172 0.958773i \(-0.408281\pi\)
−0.688236 + 0.725487i \(0.741615\pi\)
\(20\) 154.278 + 89.0724i 0.0192847 + 0.0111340i
\(21\) 5951.53 0.642645
\(22\) 6990.29i 0.656489i
\(23\) −516.012 + 893.760i −0.0424108 + 0.0734577i −0.886452 0.462821i \(-0.846837\pi\)
0.844041 + 0.536279i \(0.180170\pi\)
\(24\) 4591.05 7951.92i 0.332107 0.575226i
\(25\) −7747.58 13419.2i −0.495845 0.858829i
\(26\) 10862.8 6271.65i 0.618048 0.356830i
\(27\) 19615.6i 0.996575i
\(28\) −4860.27 + 2806.08i −0.221404 + 0.127828i
\(29\) −27655.6 + 15967.0i −1.13394 + 0.654680i −0.944923 0.327294i \(-0.893863\pi\)
−0.189017 + 0.981974i \(0.560530\pi\)
\(30\) 1137.82 656.918i 0.0421413 0.0243303i
\(31\) −12598.6 + 21821.3i −0.422898 + 0.732481i −0.996222 0.0868483i \(-0.972320\pi\)
0.573324 + 0.819329i \(0.305654\pi\)
\(32\) 15617.1i 0.476597i
\(33\) 14432.1 + 8332.38i 0.401594 + 0.231861i
\(34\) 16051.8 9267.49i 0.408400 0.235790i
\(35\) −4090.30 −0.0954005
\(36\) −3549.87 6148.56i −0.0760861 0.131785i
\(37\) 13186.5 + 7613.22i 0.260330 + 0.150301i 0.624485 0.781037i \(-0.285309\pi\)
−0.364155 + 0.931338i \(0.618642\pi\)
\(38\) 11128.1 19274.4i 0.202800 0.351261i
\(39\) 29903.0i 0.504105i
\(40\) −3155.28 + 5465.10i −0.0493012 + 0.0853923i
\(41\) 34456.6 0.499943 0.249972 0.968253i \(-0.419579\pi\)
0.249972 + 0.968253i \(0.419579\pi\)
\(42\) 41390.3i 0.558663i
\(43\) 60437.9 + 51658.8i 0.760158 + 0.649738i
\(44\) −15714.5 −0.184477
\(45\) 5174.50i 0.0567846i
\(46\) −6215.70 3588.64i −0.0638582 0.0368685i
\(47\) 101043. 0.973226 0.486613 0.873618i \(-0.338232\pi\)
0.486613 + 0.873618i \(0.338232\pi\)
\(48\) 40935.4 + 23634.1i 0.370148 + 0.213705i
\(49\) 5604.54 9707.34i 0.0476378 0.0825111i
\(50\) 93324.6 53881.0i 0.746597 0.431048i
\(51\) 44187.1i 0.333108i
\(52\) −14098.9 24420.1i −0.100271 0.173675i
\(53\) 41465.7 71820.7i 0.278523 0.482417i −0.692495 0.721423i \(-0.743488\pi\)
0.971018 + 0.239006i \(0.0768217\pi\)
\(54\) −136418. −0.866342
\(55\) −9918.72 5726.58i −0.0596167 0.0344197i
\(56\) −99401.9 172169.i −0.566018 0.980373i
\(57\) 26529.1 + 45949.8i 0.143251 + 0.248119i
\(58\) −111043. 192333.i −0.569126 0.985756i
\(59\) 122696. 0.597413 0.298707 0.954345i \(-0.403445\pi\)
0.298707 + 0.954345i \(0.403445\pi\)
\(60\) −1476.78 2557.86i −0.00683695 0.0118419i
\(61\) −342276. + 197613.i −1.50795 + 0.870616i −0.507995 + 0.861360i \(0.669613\pi\)
−0.999957 + 0.00925632i \(0.997054\pi\)
\(62\) −151758. 87617.4i −0.636760 0.367633i
\(63\) 141174. + 81507.0i 0.564591 + 0.325967i
\(64\) −291073. −1.11036
\(65\) 20551.4i 0.0748344i
\(66\) −57948.0 + 100369.i −0.201561 + 0.349114i
\(67\) 77054.5 133462.i 0.256197 0.443746i −0.709023 0.705185i \(-0.750864\pi\)
0.965220 + 0.261440i \(0.0841972\pi\)
\(68\) −20833.7 36085.0i −0.0662582 0.114763i
\(69\) 14818.1 8555.26i 0.0451072 0.0260427i
\(70\) 28446.2i 0.0829335i
\(71\) −172204. + 99422.2i −0.481137 + 0.277785i −0.720890 0.693049i \(-0.756267\pi\)
0.239753 + 0.970834i \(0.422933\pi\)
\(72\) 217805. 125750.i 0.583540 0.336907i
\(73\) −21379.0 + 12343.2i −0.0549565 + 0.0317292i −0.527227 0.849725i \(-0.676768\pi\)
0.472270 + 0.881454i \(0.343435\pi\)
\(74\) −52946.5 + 91706.1i −0.130660 + 0.226310i
\(75\) 256903.i 0.608955i
\(76\) −43329.6 25016.4i −0.0987061 0.0569880i
\(77\) 312473. 180406.i 0.684448 0.395166i
\(78\) −207962. −0.438229
\(79\) −306288. 530507.i −0.621225 1.07599i −0.989258 0.146180i \(-0.953302\pi\)
0.368033 0.929813i \(-0.380031\pi\)
\(80\) −28133.6 16242.9i −0.0549484 0.0317245i
\(81\) −2917.37 + 5053.04i −0.00548955 + 0.00950818i
\(82\) 239630.i 0.434611i
\(83\) 214087. 370810.i 0.374418 0.648511i −0.615822 0.787886i \(-0.711176\pi\)
0.990240 + 0.139374i \(0.0445091\pi\)
\(84\) 93047.1 0.156987
\(85\) 30368.4i 0.0494498i
\(86\) −359264. + 420319.i −0.564830 + 0.660820i
\(87\) 529451. 0.804023
\(88\) 556666.i 0.816858i
\(89\) 902697. + 521172.i 1.28048 + 0.739284i 0.976936 0.213534i \(-0.0684974\pi\)
0.303542 + 0.952818i \(0.401831\pi\)
\(90\) 35986.3 0.0493640
\(91\) 560698. + 323719.i 0.744054 + 0.429580i
\(92\) −8067.41 + 13973.2i −0.0103603 + 0.0179445i
\(93\) 361788. 208878.i 0.449785 0.259684i
\(94\) 702711.i 0.846044i
\(95\) −18232.6 31579.8i −0.0212656 0.0368332i
\(96\) 129463. 224236.i 0.146329 0.253449i
\(97\) −1.53601e6 −1.68298 −0.841488 0.540276i \(-0.818320\pi\)
−0.841488 + 0.540276i \(0.818320\pi\)
\(98\) 67510.3 + 38977.1i 0.0717285 + 0.0414125i
\(99\) 228226. + 395299.i 0.235212 + 0.407399i
\(100\) −121127. 209798.i −0.121127 0.209798i
\(101\) −298522. 517055.i −0.289742 0.501848i 0.684006 0.729476i \(-0.260236\pi\)
−0.973748 + 0.227628i \(0.926903\pi\)
\(102\) −307302. −0.289577
\(103\) 850263. + 1.47270e6i 0.778111 + 1.34773i 0.933029 + 0.359800i \(0.117155\pi\)
−0.154918 + 0.987927i \(0.549511\pi\)
\(104\) 865051. 499437.i 0.769027 0.443998i
\(105\) 58729.8 + 33907.7i 0.0507330 + 0.0292907i
\(106\) 499481. + 288376.i 0.419374 + 0.242126i
\(107\) 307656. 0.251139 0.125570 0.992085i \(-0.459924\pi\)
0.125570 + 0.992085i \(0.459924\pi\)
\(108\) 306673.i 0.243447i
\(109\) −418448. + 724773.i −0.323119 + 0.559658i −0.981130 0.193350i \(-0.938065\pi\)
0.658011 + 0.753008i \(0.271398\pi\)
\(110\) 39825.8 68980.3i 0.0299217 0.0518259i
\(111\) −126224. 218626.i −0.0922937 0.159857i
\(112\) 886302. 511707.i 0.630853 0.364223i
\(113\) 550895.i 0.381798i 0.981610 + 0.190899i \(0.0611402\pi\)
−0.981610 + 0.190899i \(0.938860\pi\)
\(114\) −319561. + 184498.i −0.215694 + 0.124531i
\(115\) −10184.0 + 5879.75i −0.00669617 + 0.00386603i
\(116\) −432372. + 249630.i −0.277003 + 0.159928i
\(117\) −409526. + 709319.i −0.255696 + 0.442878i
\(118\) 853297.i 0.519343i
\(119\) 828531. + 478353.i 0.491664 + 0.283862i
\(120\) 90609.0 52313.1i 0.0524358 0.0302738i
\(121\) −761257. −0.429710
\(122\) −1.37431e6 2.38038e6i −0.756844 1.31089i
\(123\) −494739. 285638.i −0.265865 0.153497i
\(124\) −196968. + 341158.i −0.103307 + 0.178933i
\(125\) 354602.i 0.181556i
\(126\) −566845. + 981804.i −0.283369 + 0.490810i
\(127\) −2.75996e6 −1.34738 −0.673692 0.739013i \(-0.735292\pi\)
−0.673692 + 0.739013i \(0.735292\pi\)
\(128\) 1.02479e6i 0.488658i
\(129\) −439546. 1.24275e6i −0.204756 0.578914i
\(130\) 142926. 0.0650550
\(131\) 3.02421e6i 1.34523i −0.739991 0.672617i \(-0.765170\pi\)
0.739991 0.672617i \(-0.234830\pi\)
\(132\) 225633. + 130270.i 0.0981029 + 0.0566397i
\(133\) 1.14878e6 0.488294
\(134\) 928171. + 535880.i 0.385757 + 0.222717i
\(135\) −111756. + 193567.i −0.0454223 + 0.0786737i
\(136\) 1.27827e6 738008.i 0.508165 0.293389i
\(137\) 4.66521e6i 1.81430i −0.420806 0.907151i \(-0.638253\pi\)
0.420806 0.907151i \(-0.361747\pi\)
\(138\) 59498.0 + 103054.i 0.0226394 + 0.0392126i
\(139\) −577643. + 1.00051e6i −0.215087 + 0.372542i −0.953300 0.302026i \(-0.902337\pi\)
0.738212 + 0.674568i \(0.235670\pi\)
\(140\) −63948.3 −0.0233048
\(141\) −1.45081e6 837626.i −0.517551 0.298808i
\(142\) −691437. 1.19760e6i −0.241484 0.418262i
\(143\) 906438. + 1.57000e6i 0.309977 + 0.536897i
\(144\) 647343. + 1.12123e6i 0.216794 + 0.375498i
\(145\) −363875. −0.119357
\(146\) −85841.4 148682.i −0.0275828 0.0477748i
\(147\) −160943. + 92920.7i −0.0506665 + 0.0292523i
\(148\) 206159. + 119026.i 0.0635942 + 0.0367161i
\(149\) −977471. 564343.i −0.295492 0.170602i 0.344924 0.938631i \(-0.387905\pi\)
−0.640416 + 0.768028i \(0.721238\pi\)
\(150\) −1.78665e6 −0.529377
\(151\) 462133.i 0.134226i 0.997745 + 0.0671129i \(0.0213788\pi\)
−0.997745 + 0.0671129i \(0.978621\pi\)
\(152\) 886174. 1.53490e6i 0.252341 0.437068i
\(153\) −605148. + 1.04815e6i −0.168961 + 0.292650i
\(154\) 1.25465e6 + 2.17311e6i 0.343526 + 0.595004i
\(155\) −248645. + 143555.i −0.0667706 + 0.0385500i
\(156\) 467508.i 0.123145i
\(157\) −871134. + 502950.i −0.225106 + 0.129965i −0.608312 0.793698i \(-0.708153\pi\)
0.383207 + 0.923663i \(0.374820\pi\)
\(158\) 3.68944e6 2.13010e6i 0.935382 0.540043i
\(159\) −1.19076e6 + 687483.i −0.296232 + 0.171029i
\(160\) −88975.5 + 154110.i −0.0217225 + 0.0376245i
\(161\) 370464.i 0.0887704i
\(162\) −35141.6 20289.0i −0.00826565 0.00477217i
\(163\) 459244. 265145.i 0.106043 0.0612238i −0.446041 0.895013i \(-0.647166\pi\)
0.552083 + 0.833789i \(0.313833\pi\)
\(164\) 538699. 0.122128
\(165\) 94944.1 + 164448.i 0.0211357 + 0.0366081i
\(166\) 2.57882e6 + 1.48888e6i 0.563764 + 0.325489i
\(167\) −30644.6 + 53078.1i −0.00657969 + 0.0113964i −0.869297 0.494291i \(-0.835428\pi\)
0.862717 + 0.505687i \(0.168761\pi\)
\(168\) 3.29608e6i 0.695136i
\(169\) 786903. 1.36296e6i 0.163028 0.282372i
\(170\) 211199. 0.0429877
\(171\) 1.45328e6i 0.290644i
\(172\) 944894. + 807640.i 0.185694 + 0.158720i
\(173\) −5.53281e6 −1.06858 −0.534291 0.845301i \(-0.679421\pi\)
−0.534291 + 0.845301i \(0.679421\pi\)
\(174\) 3.68210e6i 0.698953i
\(175\) 4.81707e6 + 2.78113e6i 0.898811 + 0.518929i
\(176\) 2.86564e6 0.525634
\(177\) −1.76171e6 1.01712e6i −0.317698 0.183423i
\(178\) −3.62452e6 + 6.27786e6i −0.642674 + 1.11314i
\(179\) −1.49410e6 + 862621.i −0.260508 + 0.150405i −0.624566 0.780972i \(-0.714724\pi\)
0.364058 + 0.931376i \(0.381391\pi\)
\(180\) 80898.8i 0.0138715i
\(181\) −300028. 519664.i −0.0505972 0.0876368i 0.839618 0.543178i \(-0.182779\pi\)
−0.890215 + 0.455541i \(0.849446\pi\)
\(182\) −2.25132e6 + 3.89940e6i −0.373442 + 0.646821i
\(183\) 6.55268e6 1.06922
\(184\) −494982. 285778.i −0.0794577 0.0458749i
\(185\) 86749.5 + 150255.i 0.0137010 + 0.0237308i
\(186\) 1.45266e6 + 2.51608e6i 0.225748 + 0.391007i
\(187\) 1.33943e6 + 2.31995e6i 0.204830 + 0.354776i
\(188\) 1.57972e6 0.237743
\(189\) −3.52068e6 6.09800e6i −0.521485 0.903238i
\(190\) 219624. 126800.i 0.0320198 0.0184866i
\(191\) −5.26297e6 3.03858e6i −0.755319 0.436084i 0.0722935 0.997383i \(-0.476968\pi\)
−0.827613 + 0.561300i \(0.810302\pi\)
\(192\) 4.17932e6 + 2.41293e6i 0.590476 + 0.340912i
\(193\) 8.80070e6 1.22418 0.612090 0.790788i \(-0.290329\pi\)
0.612090 + 0.790788i \(0.290329\pi\)
\(194\) 1.06822e7i 1.46304i
\(195\) −170366. + 295083.i −0.0229763 + 0.0397961i
\(196\) 87622.1 151766.i 0.0116371 0.0201561i
\(197\) −2.47651e6 4.28944e6i −0.323923 0.561051i 0.657371 0.753567i \(-0.271668\pi\)
−0.981294 + 0.192516i \(0.938335\pi\)
\(198\) −2.74913e6 + 1.58721e6i −0.354160 + 0.204474i
\(199\) 3.02183e6i 0.383452i 0.981448 + 0.191726i \(0.0614086\pi\)
−0.981448 + 0.191726i \(0.938591\pi\)
\(200\) 7.43183e6 4.29077e6i 0.928978 0.536346i
\(201\) −2.21274e6 + 1.27753e6i −0.272485 + 0.157319i
\(202\) 3.59589e6 2.07609e6i 0.436266 0.251879i
\(203\) 5.73164e6 9.92749e6i 0.685158 1.18673i
\(204\) 690827.i 0.0813727i
\(205\) 340018. + 196310.i 0.0394676 + 0.0227866i
\(206\) −1.02420e7 + 5.91320e6i −1.17161 + 0.676427i
\(207\) 468661. 0.0528382
\(208\) 2.57103e6 + 4.45316e6i 0.285705 + 0.494855i
\(209\) 2.78572e6 + 1.60833e6i 0.305139 + 0.176172i
\(210\) −235813. + 408440.i −0.0254630 + 0.0441032i
\(211\) 1.18294e6i 0.125926i −0.998016 0.0629629i \(-0.979945\pi\)
0.998016 0.0629629i \(-0.0200550\pi\)
\(212\) 648281. 1.12286e6i 0.0680387 0.117846i
\(213\) 3.29675e6 0.341151
\(214\) 2.13961e6i 0.218320i
\(215\) 302086. + 854102.i 0.0303959 + 0.0859398i
\(216\) −1.08635e7 −1.07797
\(217\) 9.04496e6i 0.885171i
\(218\) −5.04048e6 2.91012e6i −0.486522 0.280893i
\(219\) 409289. 0.0389671
\(220\) −155071. 89530.1i −0.0145634 0.00840816i
\(221\) −2.40345e6 + 4.16289e6i −0.222668 + 0.385672i
\(222\) 1.52045e6 877830.i 0.138967 0.0802327i
\(223\) 3.37747e6i 0.304563i 0.988337 + 0.152282i \(0.0486621\pi\)
−0.988337 + 0.152282i \(0.951338\pi\)
\(224\) −2.80302e6 4.85498e6i −0.249392 0.431960i
\(225\) −3.51832e6 + 6.09391e6i −0.308878 + 0.534993i
\(226\) −3.83123e6 −0.331904
\(227\) −3.57950e6 2.06662e6i −0.306016 0.176678i 0.339126 0.940741i \(-0.389869\pi\)
−0.645142 + 0.764062i \(0.723202\pi\)
\(228\) 414760. + 718386.i 0.0349939 + 0.0606112i
\(229\) −6.43178e6 1.11402e7i −0.535580 0.927652i −0.999135 0.0415840i \(-0.986760\pi\)
0.463555 0.886068i \(-0.346574\pi\)
\(230\) −40891.1 70825.4i −0.00336082 0.00582111i
\(231\) −5.98211e6 −0.485310
\(232\) −8.84284e6 1.53163e7i −0.708154 1.22656i
\(233\) 1.26156e7 7.28360e6i 0.997331 0.575809i 0.0898732 0.995953i \(-0.471354\pi\)
0.907457 + 0.420144i \(0.138020\pi\)
\(234\) −4.93300e6 2.84807e6i −0.385003 0.222281i
\(235\) 997096. + 575674.i 0.0768305 + 0.0443581i
\(236\) 1.91825e6 0.145938
\(237\) 1.01562e7i 0.762936i
\(238\) −3.32673e6 + 5.76207e6i −0.246767 + 0.427413i
\(239\) −7.19423e6 + 1.24608e7i −0.526975 + 0.912748i 0.472530 + 0.881314i \(0.343341\pi\)
−0.999506 + 0.0314339i \(0.989993\pi\)
\(240\) 269301. + 466442.i 0.0194807 + 0.0337415i
\(241\) −1.56084e7 + 9.01150e6i −1.11508 + 0.643793i −0.940141 0.340786i \(-0.889307\pi\)
−0.174941 + 0.984579i \(0.555973\pi\)
\(242\) 5.29420e6i 0.373555i
\(243\) 1.24677e7 7.19825e6i 0.868897 0.501658i
\(244\) −5.35120e6 + 3.08952e6i −0.368368 + 0.212677i
\(245\) 110611. 63861.5i 0.00752144 0.00434251i
\(246\) 1.98648e6 3.44069e6i 0.133438 0.231121i
\(247\) 5.77195e6i 0.383029i
\(248\) −1.20851e7 6.97733e6i −0.792310 0.457440i
\(249\) −6.14787e6 + 3.54947e6i −0.398223 + 0.229914i
\(250\) 2.46610e6 0.157830
\(251\) 9.64978e6 + 1.67139e7i 0.610234 + 1.05696i 0.991201 + 0.132367i \(0.0422579\pi\)
−0.380967 + 0.924589i \(0.624409\pi\)
\(252\) 2.20714e6 + 1.27429e6i 0.137920 + 0.0796283i
\(253\) 518664. 898352.i 0.0320276 0.0554735i
\(254\) 1.91943e7i 1.17131i
\(255\) −251747. + 436039.i −0.0151825 + 0.0262969i
\(256\) −1.15017e7 −0.685557
\(257\) 4.81023e6i 0.283378i −0.989911 0.141689i \(-0.954747\pi\)
0.989911 0.141689i \(-0.0452534\pi\)
\(258\) 8.64277e6 3.05685e6i 0.503262 0.177998i
\(259\) −5.46580e6 −0.314597
\(260\) 321303.i 0.0182808i
\(261\) 1.25589e7 + 7.25091e6i 0.706369 + 0.407822i
\(262\) 2.10320e7 1.16944
\(263\) 2.73098e7 + 1.57673e7i 1.50124 + 0.866743i 0.999999 + 0.00143725i \(0.000457492\pi\)
0.501244 + 0.865306i \(0.332876\pi\)
\(264\) −4.61464e6 + 7.99279e6i −0.250799 + 0.434397i
\(265\) 818369. 472485.i 0.0439756 0.0253893i
\(266\) 7.98924e6i 0.424483i
\(267\) −8.64081e6 1.49663e7i −0.453963 0.786287i
\(268\) 1.20468e6 2.08657e6i 0.0625846 0.108400i
\(269\) 3.20131e7 1.64464 0.822319 0.569026i \(-0.192680\pi\)
0.822319 + 0.569026i \(0.192680\pi\)
\(270\) −1.34617e6 777212.i −0.0683926 0.0394865i
\(271\) −9.54153e6 1.65264e7i −0.479413 0.830368i 0.520308 0.853979i \(-0.325817\pi\)
−0.999721 + 0.0236106i \(0.992484\pi\)
\(272\) 3.79916e6 + 6.58034e6i 0.188791 + 0.326996i
\(273\) −5.36712e6 9.29612e6i −0.263787 0.456892i
\(274\) 3.24445e7 1.57721
\(275\) 7.78739e6 + 1.34882e7i 0.374450 + 0.648567i
\(276\) 231669. 133754.i 0.0110190 0.00636180i
\(277\) −8.89203e6 5.13382e6i −0.418371 0.241547i 0.276009 0.961155i \(-0.410988\pi\)
−0.694380 + 0.719608i \(0.744321\pi\)
\(278\) −6.95808e6 4.01725e6i −0.323858 0.186980i
\(279\) 1.14425e7 0.526874
\(280\) 2.26529e6i 0.103193i
\(281\) −1.59716e7 + 2.76636e7i −0.719828 + 1.24678i 0.241240 + 0.970465i \(0.422446\pi\)
−0.961068 + 0.276313i \(0.910887\pi\)
\(282\) 5.82532e6 1.00897e7i 0.259760 0.449918i
\(283\) 1.83564e7 + 3.17943e7i 0.809896 + 1.40278i 0.912936 + 0.408103i \(0.133810\pi\)
−0.103040 + 0.994677i \(0.532857\pi\)
\(284\) −2.69227e6 + 1.55438e6i −0.117534 + 0.0678582i
\(285\) 604578.i 0.0261167i
\(286\) −1.09186e7 + 6.30388e6i −0.466735 + 0.269469i
\(287\) −1.07117e7 + 6.18441e6i −0.453120 + 0.261609i
\(288\) 6.14187e6 3.54601e6i 0.257113 0.148444i
\(289\) 8.51726e6 1.47523e7i 0.352863 0.611177i
\(290\) 2.53059e6i 0.103759i
\(291\) 2.20545e7 + 1.27332e7i 0.894989 + 0.516722i
\(292\) −334243. + 192975.i −0.0134250 + 0.00775091i
\(293\) −1.12332e7 −0.446581 −0.223290 0.974752i \(-0.571680\pi\)
−0.223290 + 0.974752i \(0.571680\pi\)
\(294\) −646223. 1.11929e6i −0.0254296 0.0440454i
\(295\) 1.21077e6 + 699037.i 0.0471623 + 0.0272291i
\(296\) −4.21635e6 + 7.30294e6i −0.162578 + 0.281593i
\(297\) 1.97164e7i 0.752589i
\(298\) 3.92476e6 6.79788e6i 0.148308 0.256877i
\(299\) 1.86137e6 0.0696336
\(300\) 4.01646e6i 0.148758i
\(301\) −2.80606e7 5.21181e6i −1.02896 0.191112i
\(302\) −3.21393e6 −0.116685
\(303\) 9.89871e6i 0.355837i
\(304\) 7.90144e6 + 4.56190e6i 0.281246 + 0.162377i
\(305\) −4.50345e6 −0.158725
\(306\) −7.28940e6 4.20854e6i −0.254406 0.146881i
\(307\) −1.80163e7 + 3.12051e7i −0.622658 + 1.07848i 0.366330 + 0.930485i \(0.380614\pi\)
−0.988989 + 0.147991i \(0.952719\pi\)
\(308\) 4.88525e6 2.82050e6i 0.167199 0.0965325i
\(309\) 2.81940e7i 0.955610i
\(310\) −998365. 1.72922e6i −0.0335123 0.0580450i
\(311\) −1.69354e7 + 2.93330e7i −0.563008 + 0.975158i 0.434224 + 0.900805i \(0.357023\pi\)
−0.997232 + 0.0743532i \(0.976311\pi\)
\(312\) −1.65609e7 −0.545281
\(313\) −2.65877e7 1.53504e7i −0.867056 0.500595i −0.000687505 1.00000i \(-0.500219\pi\)
−0.866369 + 0.499404i \(0.833552\pi\)
\(314\) −3.49779e6 6.05835e6i −0.112981 0.195689i
\(315\) 928740. + 1.60862e6i 0.0297141 + 0.0514663i
\(316\) −4.78855e6 8.29401e6i −0.151755 0.262847i
\(317\) 1.69993e7 0.533647 0.266824 0.963745i \(-0.414026\pi\)
0.266824 + 0.963745i \(0.414026\pi\)
\(318\) −4.78114e6 8.28118e6i −0.148679 0.257520i
\(319\) 2.77978e7 1.60490e7i 0.856323 0.494399i
\(320\) −2.87232e6 1.65833e6i −0.0876561 0.0506083i
\(321\) −4.41742e6 2.55040e6i −0.133553 0.0771069i
\(322\) 2.57641e6 0.0771699
\(323\) 8.52909e6i 0.253102i
\(324\) −45610.6 + 78999.9i −0.00134101 + 0.00232269i
\(325\) −1.39736e7 + 2.42030e7i −0.407060 + 0.705048i
\(326\) 1.84397e6 + 3.19384e6i 0.0532231 + 0.0921851i
\(327\) 1.20164e7 6.93768e6i 0.343662 0.198414i
\(328\) 1.90828e7i 0.540779i
\(329\) −3.14119e7 + 1.81357e7i −0.882076 + 0.509267i
\(330\) −1.14366e6 + 660294.i −0.0318241 + 0.0183737i
\(331\) 2.19377e7 1.26657e7i 0.604933 0.349258i −0.166047 0.986118i \(-0.553100\pi\)
0.770980 + 0.636860i \(0.219767\pi\)
\(332\) 3.34707e6 5.79730e6i 0.0914641 0.158421i
\(333\) 6.91460e6i 0.187255i
\(334\) −369135. 213120.i −0.00990707 0.00571985i
\(335\) 1.52075e6 878005.i 0.0404504 0.0233541i
\(336\) −1.69677e7 −0.447308
\(337\) −2.72649e7 4.72241e7i −0.712383 1.23388i −0.963960 0.266046i \(-0.914283\pi\)
0.251577 0.967837i \(-0.419051\pi\)
\(338\) 9.47876e6 + 5.47256e6i 0.245472 + 0.141723i
\(339\) 4.56679e6 7.90992e6i 0.117223 0.203036i
\(340\) 474783.i 0.0120798i
\(341\) 1.26633e7 2.19335e7i 0.319362 0.553152i
\(342\) −1.01069e7 −0.252662
\(343\) 3.82085e7i 0.946843i
\(344\) −2.86097e7 + 3.34717e7i −0.702809 + 0.822248i
\(345\) 194967. 0.00474793
\(346\) 3.84783e7i 0.928939i
\(347\) 6.50146e7 + 3.75362e7i 1.55605 + 0.898384i 0.997629 + 0.0688243i \(0.0219248\pi\)
0.558418 + 0.829560i \(0.311409\pi\)
\(348\) 8.27752e6 0.196409
\(349\) −7.03612e6 4.06230e6i −0.165522 0.0955644i 0.414950 0.909844i \(-0.363799\pi\)
−0.580473 + 0.814280i \(0.697132\pi\)
\(350\) −1.93416e7 + 3.35006e7i −0.451115 + 0.781354i
\(351\) 3.06390e7 1.76894e7i 0.708521 0.409065i
\(352\) 1.56974e7i 0.359914i
\(353\) −2.44682e7 4.23801e7i −0.556259 0.963469i −0.997804 0.0662301i \(-0.978903\pi\)
0.441545 0.897239i \(-0.354430\pi\)
\(354\) 7.07365e6 1.22519e7i 0.159453 0.276181i
\(355\) −2.26575e6 −0.0506439
\(356\) 1.41129e7 + 8.14808e6i 0.312799 + 0.180595i
\(357\) −7.93088e6 1.37367e7i −0.174308 0.301910i
\(358\) −5.99915e6 1.03908e7i −0.130750 0.226465i
\(359\) −4.19885e7 7.27262e7i −0.907501 1.57184i −0.817525 0.575894i \(-0.804654\pi\)
−0.0899761 0.995944i \(-0.528679\pi\)
\(360\) 2.86574e6 0.0614228
\(361\) −1.84022e7 3.18736e7i −0.391155 0.677500i
\(362\) 3.61403e6 2.08656e6i 0.0761844 0.0439851i
\(363\) 1.09304e7 + 6.31065e6i 0.228515 + 0.131933i
\(364\) 8.76602e6 + 5.06107e6i 0.181760 + 0.104939i
\(365\) −281291. −0.00578466
\(366\) 4.55710e7i 0.929492i
\(367\) −8.49001e6 + 1.47051e7i −0.171755 + 0.297489i −0.939034 0.343825i \(-0.888277\pi\)
0.767278 + 0.641314i \(0.221611\pi\)
\(368\) 1.47115e6 2.54810e6i 0.0295197 0.0511296i
\(369\) −7.82369e6 1.35510e7i −0.155716 0.269708i
\(370\) −1.04495e6 + 603305.i −0.0206297 + 0.0119105i
\(371\) 2.97697e7i 0.582980i
\(372\) 5.65624e6 3.26563e6i 0.109875 0.0634364i
\(373\) −5.45539e7 + 3.14967e7i −1.05123 + 0.606930i −0.922995 0.384813i \(-0.874266\pi\)
−0.128240 + 0.991743i \(0.540933\pi\)
\(374\) −1.61342e7 + 9.31511e6i −0.308414 + 0.178063i
\(375\) −2.93957e6 + 5.09148e6i −0.0557430 + 0.0965496i
\(376\) 5.59598e7i 1.05272i
\(377\) 4.98800e7 + 2.87982e7i 0.930898 + 0.537454i
\(378\) 4.24089e7 2.44848e7i 0.785202 0.453337i
\(379\) 5.48520e6 0.100757 0.0503785 0.998730i \(-0.483957\pi\)
0.0503785 + 0.998730i \(0.483957\pi\)
\(380\) −285051. 493724.i −0.00519484 0.00899773i
\(381\) 3.96283e7 + 2.28794e7i 0.716524 + 0.413685i
\(382\) 2.11319e7 3.66016e7i 0.379096 0.656614i
\(383\) 5.34591e7i 0.951536i 0.879571 + 0.475768i \(0.157830\pi\)
−0.879571 + 0.475768i \(0.842170\pi\)
\(384\) −8.49529e6 + 1.47143e7i −0.150032 + 0.259863i
\(385\) 4.11132e6 0.0720442
\(386\) 6.12049e7i 1.06420i
\(387\) 6.59328e6 3.54985e7i 0.113754 0.612459i
\(388\) −2.40141e7 −0.411123
\(389\) 9.24506e7i 1.57058i −0.619126 0.785292i \(-0.712513\pi\)
0.619126 0.785292i \(-0.287487\pi\)
\(390\) −2.05217e6 1.18482e6i −0.0345956 0.0199738i
\(391\) 2.75051e6 0.0460132
\(392\) 5.37612e6 + 3.10391e6i 0.0892506 + 0.0515288i
\(393\) −2.50700e7 + 4.34226e7i −0.413026 + 0.715381i
\(394\) 2.98312e7 1.72230e7i 0.487732 0.281592i
\(395\) 6.98006e6i 0.113258i
\(396\) 3.56812e6 + 6.18016e6i 0.0574584 + 0.0995209i
\(397\) 2.39879e6 4.15483e6i 0.0383373 0.0664021i −0.846220 0.532833i \(-0.821127\pi\)
0.884557 + 0.466431i \(0.154461\pi\)
\(398\) −2.10155e7 −0.333343
\(399\) −1.64945e7 9.52311e6i −0.259669 0.149920i
\(400\) 2.20883e7 + 3.82580e7i 0.345129 + 0.597781i
\(401\) 4.03538e7 + 6.98949e7i 0.625823 + 1.08396i 0.988381 + 0.151996i \(0.0485701\pi\)
−0.362558 + 0.931961i \(0.618097\pi\)
\(402\) −8.88465e6 1.53887e7i −0.136761 0.236877i
\(403\) 4.54457e7 0.694349
\(404\) −4.66713e6 8.08370e6i −0.0707792 0.122593i
\(405\) −57577.3 + 33242.3i −0.000866735 + 0.000500410i
\(406\) 6.90413e7 + 3.98610e7i 1.03165 + 0.595621i
\(407\) −1.32542e7 7.65234e6i −0.196595 0.113504i
\(408\) −2.44717e7 −0.360316
\(409\) 1.24867e7i 0.182507i 0.995828 + 0.0912534i \(0.0290873\pi\)
−0.995828 + 0.0912534i \(0.970913\pi\)
\(410\) −1.36525e6 + 2.36468e6i −0.0198089 + 0.0343099i
\(411\) −3.86735e7 + 6.69845e7i −0.557043 + 0.964826i
\(412\) 1.32931e7 + 2.30244e7i 0.190080 + 0.329228i
\(413\) −3.81432e7 + 2.20220e7i −0.541461 + 0.312613i
\(414\) 3.25933e6i 0.0459333i
\(415\) 4.22523e6 2.43944e6i 0.0591162 0.0341308i
\(416\) 2.43935e7 1.40836e7i 0.338839 0.195629i
\(417\) 1.65879e7 9.57706e6i 0.228762 0.132076i
\(418\) −1.11853e7 + 1.93734e7i −0.153150 + 0.265263i
\(419\) 1.31295e8i 1.78487i 0.451174 + 0.892436i \(0.351005\pi\)
−0.451174 + 0.892436i \(0.648995\pi\)
\(420\) 918190. + 530117.i 0.0123932 + 0.00715523i
\(421\) 3.68617e7 2.12821e7i 0.494002 0.285212i −0.232231 0.972661i \(-0.574603\pi\)
0.726233 + 0.687448i \(0.241269\pi\)
\(422\) 8.22681e6 0.109470
\(423\) −2.29428e7 3.97381e7i −0.303127 0.525032i
\(424\) 3.97758e7 + 2.29646e7i 0.521820 + 0.301273i
\(425\) −2.06485e7 + 3.57643e7i −0.268981 + 0.465889i
\(426\) 2.29274e7i 0.296570i
\(427\) 7.09369e7 1.22866e8i 0.911147 1.57815i
\(428\) 4.80994e6 0.0613491
\(429\) 3.00567e7i 0.380688i
\(430\) −5.93990e6 + 2.10088e6i −0.0747091 + 0.0264238i
\(431\) −1.33016e8 −1.66139 −0.830693 0.556731i \(-0.812056\pi\)
−0.830693 + 0.556731i \(0.812056\pi\)
\(432\) 5.59238e7i 0.693658i
\(433\) 6.92501e7 + 3.99816e7i 0.853016 + 0.492489i 0.861667 0.507474i \(-0.169421\pi\)
−0.00865163 + 0.999963i \(0.502754\pi\)
\(434\) 6.29037e7 0.769497
\(435\) 5.22463e6 + 3.01644e6i 0.0634728 + 0.0366461i
\(436\) −6.54208e6 + 1.13312e7i −0.0789326 + 0.136715i
\(437\) 2.86023e6 1.65135e6i 0.0342734 0.0197877i
\(438\) 2.84642e6i 0.0338748i
\(439\) −6.16179e7 1.06725e8i −0.728305 1.26146i −0.957599 0.288104i \(-0.906975\pi\)
0.229294 0.973357i \(-0.426358\pi\)
\(440\) 3.17149e6 5.49319e6i 0.0372311 0.0644862i
\(441\) −5.09025e6 −0.0593503
\(442\) −2.89511e7 1.67149e7i −0.335273 0.193570i
\(443\) −3.71413e7 6.43307e7i −0.427215 0.739958i 0.569410 0.822054i \(-0.307172\pi\)
−0.996624 + 0.0820962i \(0.973839\pi\)
\(444\) −1.97340e6 3.41803e6i −0.0225458 0.0390505i
\(445\) 5.93855e6 + 1.02859e7i 0.0673908 + 0.116724i
\(446\) −2.34888e7 −0.264763
\(447\) 9.35656e6 + 1.62060e7i 0.104760 + 0.181449i
\(448\) 9.04876e7 5.22430e7i 1.00636 0.581024i
\(449\) −1.06016e8 6.12081e7i −1.17120 0.676192i −0.217237 0.976119i \(-0.569704\pi\)
−0.953962 + 0.299927i \(0.903038\pi\)
\(450\) −4.23804e7 2.44683e7i −0.465080 0.268514i
\(451\) −3.46337e7 −0.377545
\(452\) 8.61276e6i 0.0932668i
\(453\) 3.83098e6 6.63545e6i 0.0412112 0.0713798i
\(454\) 1.43724e7 2.48938e7i 0.153590 0.266026i
\(455\) 3.68865e6 + 6.38892e6i 0.0391591 + 0.0678256i
\(456\) −2.54479e7 + 1.46924e7i −0.268385 + 0.154952i
\(457\) 1.34681e8i 1.41110i −0.708659 0.705551i \(-0.750700\pi\)
0.708659 0.705551i \(-0.249300\pi\)
\(458\) 7.74749e7 4.47302e7i 0.806426 0.465590i
\(459\) 4.52746e7 2.61393e7i 0.468184 0.270306i
\(460\) −159219. + 91924.9i −0.00163576 + 0.000944408i
\(461\) −6.90013e7 + 1.19514e8i −0.704295 + 1.21987i 0.262651 + 0.964891i \(0.415403\pi\)
−0.966945 + 0.254983i \(0.917930\pi\)
\(462\) 4.16030e7i 0.421889i
\(463\) −9.24446e7 5.33729e7i −0.931405 0.537747i −0.0441497 0.999025i \(-0.514058\pi\)
−0.887256 + 0.461278i \(0.847391\pi\)
\(464\) 7.88459e7 4.55217e7i 0.789270 0.455685i
\(465\) 4.76017e6 0.0473439
\(466\) 5.06542e7 + 8.77357e7i 0.500562 + 0.866999i
\(467\) 4.10901e7 + 2.37234e7i 0.403447 + 0.232930i 0.687970 0.725739i \(-0.258502\pi\)
−0.284523 + 0.958669i \(0.591835\pi\)
\(468\) −6.40258e6 + 1.10896e7i −0.0624623 + 0.108188i
\(469\) 5.53202e7i 0.536247i
\(470\) −4.00356e6 + 6.93436e6i −0.0385614 + 0.0667902i
\(471\) 1.66774e7 0.159612
\(472\) 6.79516e7i 0.646210i
\(473\) −6.07484e7 5.19242e7i −0.574053 0.490667i
\(474\) −7.06322e7 −0.663235
\(475\) 4.95880e7i 0.462696i
\(476\) 1.29534e7 + 7.47863e6i 0.120105 + 0.0693428i
\(477\) −3.76607e7 −0.347003
\(478\) −8.66591e7 5.00327e7i −0.793470 0.458110i
\(479\) −3.85960e7 + 6.68502e7i −0.351185 + 0.608270i −0.986457 0.164018i \(-0.947554\pi\)
0.635272 + 0.772288i \(0.280888\pi\)
\(480\) 2.55508e6 1.47517e6i 0.0231036 0.0133389i
\(481\) 2.74625e7i 0.246777i
\(482\) −6.26710e7 1.08549e8i −0.559661 0.969362i
\(483\) −3.07106e6 + 5.31924e6i −0.0272551 + 0.0472072i
\(484\) −1.19016e7 −0.104971
\(485\) −1.51573e7 8.75109e6i −0.132861 0.0767074i
\(486\) 5.00606e7 + 8.67075e7i 0.436101 + 0.755350i
\(487\) 8.64250e7 + 1.49693e8i 0.748260 + 1.29602i 0.948656 + 0.316310i \(0.102444\pi\)
−0.200396 + 0.979715i \(0.564223\pi\)
\(488\) −1.09442e8 1.89560e8i −0.941728 1.63112i
\(489\) −8.79197e6 −0.0751899
\(490\) 444128. + 769253.i 0.00377503 + 0.00653854i
\(491\) 2.98407e7 1.72285e7i 0.252095 0.145547i −0.368628 0.929577i \(-0.620172\pi\)
0.620723 + 0.784030i \(0.286839\pi\)
\(492\) −7.73482e6 4.46570e6i −0.0649463 0.0374968i
\(493\) 7.37066e7 + 4.25545e7i 0.615128 + 0.355144i
\(494\) −4.01413e7 −0.332975
\(495\) 5.20109e6i 0.0428823i
\(496\) 3.59183e7 6.22124e7i 0.294355 0.509837i
\(497\) 3.56894e7 6.18158e7i 0.290717 0.503536i
\(498\) −2.46850e7 4.27557e7i −0.199869 0.346183i
\(499\) 5.13234e7 2.96316e7i 0.413061 0.238481i −0.279043 0.960279i \(-0.590017\pi\)
0.692104 + 0.721798i \(0.256684\pi\)
\(500\) 5.54389e6i 0.0443512i
\(501\) 880011. 508075.i 0.00699802 0.00404031i
\(502\) −1.16238e8 + 6.71100e7i −0.918833 + 0.530488i
\(503\) 4.13481e7 2.38723e7i 0.324901 0.187582i −0.328674 0.944443i \(-0.606602\pi\)
0.653575 + 0.756862i \(0.273268\pi\)
\(504\) −4.51402e7 + 7.81851e7i −0.352592 + 0.610707i
\(505\) 6.80307e6i 0.0528239i
\(506\) 6.24764e6 + 3.60708e6i 0.0482242 + 0.0278422i
\(507\) −2.25972e7 + 1.30465e7i −0.173393 + 0.100108i
\(508\) −4.31495e7 −0.329143
\(509\) 1.13553e8 + 1.96680e8i 0.861083 + 1.49144i 0.870884 + 0.491488i \(0.163547\pi\)
−0.00980085 + 0.999952i \(0.503120\pi\)
\(510\) −3.03246e6 1.75079e6i −0.0228604 0.0131985i
\(511\) 4.43081e6 7.67439e6i 0.0332063 0.0575150i
\(512\) 1.45576e8i 1.08463i
\(513\) 3.13871e7 5.43641e7i 0.232487 0.402680i
\(514\) 3.34530e7 0.246346
\(515\) 1.93768e7i 0.141860i
\(516\) −6.87193e6 1.94293e7i −0.0500184 0.141419i
\(517\) −1.01562e8 −0.734957
\(518\) 3.80122e7i 0.273485i
\(519\) 7.94419e7 + 4.58658e7i 0.568260 + 0.328085i
\(520\) 1.13818e7 0.0809469
\(521\) 7.64489e7 + 4.41378e7i 0.540578 + 0.312103i 0.745313 0.666715i \(-0.232300\pi\)
−0.204735 + 0.978817i \(0.565633\pi\)
\(522\) −5.04268e7 + 8.73418e7i −0.354528 + 0.614060i
\(523\) −2.31602e8 + 1.33715e8i −1.61896 + 0.934709i −0.631776 + 0.775151i \(0.717674\pi\)
−0.987189 + 0.159558i \(0.948993\pi\)
\(524\) 4.72809e7i 0.328618i
\(525\) −4.61100e7 7.98648e7i −0.318652 0.551922i
\(526\) −1.09655e8 + 1.89927e8i −0.753477 + 1.30506i
\(527\) 6.71542e7 0.458819
\(528\) −4.11458e7 2.37555e7i −0.279527 0.161385i
\(529\) 7.34854e7 + 1.27280e8i 0.496403 + 0.859795i
\(530\) 3.28593e6 + 5.69139e6i 0.0220714 + 0.0382288i
\(531\) −2.78593e7 4.82537e7i −0.186074 0.322290i
\(532\) 1.79602e7 0.119282
\(533\) −3.10731e7 5.38202e7i −0.205212 0.355438i
\(534\) 1.04084e8 6.00930e7i 0.683535 0.394639i
\(535\) 3.03595e6 + 1.75281e6i 0.0198259 + 0.0114465i
\(536\) 7.39141e7 + 4.26743e7i 0.479991 + 0.277123i
\(537\) 2.86037e7 0.184714
\(538\) 2.22637e8i 1.42972i
\(539\) −5.63334e6 + 9.75723e6i −0.0359749 + 0.0623103i
\(540\) −1.74721e6 + 3.02625e6i −0.0110959 + 0.0192187i
\(541\) 4.69570e7 + 8.13319e7i 0.296557 + 0.513652i 0.975346 0.220681i \(-0.0708281\pi\)
−0.678789 + 0.734334i \(0.737495\pi\)
\(542\) 1.14934e8 6.63571e7i 0.721855 0.416763i
\(543\) 9.94866e6i 0.0621391i
\(544\) 3.60458e7 2.08110e7i 0.223902 0.129270i
\(545\) −8.25850e6 + 4.76805e6i −0.0510166 + 0.0294545i
\(546\) 6.46504e7 3.73259e7i 0.397185 0.229315i
\(547\) 1.47952e8 2.56261e8i 0.903981 1.56574i 0.0817025 0.996657i \(-0.473964\pi\)
0.822279 0.569085i \(-0.192702\pi\)
\(548\) 7.29365e7i 0.443204i
\(549\) 1.55434e8 + 8.97399e7i 0.939353 + 0.542336i
\(550\) −9.38042e7 + 5.41579e7i −0.563812 + 0.325517i
\(551\) 1.02196e8 0.610912
\(552\) 4.73807e6 + 8.20658e6i 0.0281698 + 0.0487916i
\(553\) 1.90435e8 + 1.09948e8i 1.12609 + 0.650146i
\(554\) 3.57034e7 6.18402e7i 0.209981 0.363698i
\(555\) 2.87654e6i 0.0168264i
\(556\) −9.03094e6 + 1.56421e7i −0.0525423 + 0.0910059i
\(557\) 2.99466e8 1.73293 0.866466 0.499236i \(-0.166386\pi\)
0.866466 + 0.499236i \(0.166386\pi\)
\(558\) 7.95773e7i 0.458022i
\(559\) 2.61863e7 1.40988e8i 0.149913 0.807137i
\(560\) 1.16614e7 0.0664028
\(561\) 4.44142e7i 0.251555i
\(562\) −1.92388e8 1.11075e8i −1.08385 0.625760i
\(563\) −4.46590e7 −0.250256 −0.125128 0.992141i \(-0.539934\pi\)
−0.125128 + 0.992141i \(0.539934\pi\)
\(564\) −2.26822e7 1.30956e7i −0.126429 0.0729940i
\(565\) −3.13861e6 + 5.43624e6i −0.0174017 + 0.0301407i
\(566\) −2.21115e8 + 1.27661e8i −1.21946 + 0.704058i
\(567\) 2.09449e6i 0.0114902i
\(568\) −5.50620e7 9.53702e7i −0.300474 0.520436i
\(569\) 4.25234e7 7.36526e7i 0.230829 0.399808i −0.727223 0.686401i \(-0.759189\pi\)
0.958052 + 0.286593i \(0.0925228\pi\)
\(570\) −4.20457e6 −0.0227037
\(571\) −7.11166e7 4.10592e7i −0.381999 0.220547i 0.296688 0.954974i \(-0.404118\pi\)
−0.678688 + 0.734427i \(0.737451\pi\)
\(572\) 1.41714e7 + 2.45456e7i 0.0757224 + 0.131155i
\(573\) 5.03782e7 + 8.72576e7i 0.267781 + 0.463809i
\(574\) −4.30098e7 7.44952e7i −0.227422 0.393906i
\(575\) 1.59914e7 0.0841168
\(576\) 6.60909e7 + 1.14473e8i 0.345839 + 0.599011i
\(577\) 1.46768e8 8.47368e7i 0.764021 0.441108i −0.0667165 0.997772i \(-0.521252\pi\)
0.830738 + 0.556664i \(0.187919\pi\)
\(578\) 1.02596e8 + 5.92338e7i 0.531308 + 0.306751i
\(579\) −1.26363e8 7.29558e7i −0.651006 0.375858i
\(580\) −5.68887e6 −0.0291570
\(581\) 1.53701e8i 0.783698i
\(582\) −8.85535e7 + 1.53379e8i −0.449197 + 0.778032i
\(583\) −4.16788e7 + 7.21898e7i −0.210334 + 0.364309i
\(584\) −6.83591e6 1.18401e7i −0.0343208 0.0594454i
\(585\) −8.08241e6 + 4.66638e6i −0.0403714 + 0.0233084i
\(586\) 7.81218e7i 0.388221i
\(587\) −4.39769e7 + 2.53901e7i −0.217426 + 0.125531i −0.604758 0.796410i \(-0.706730\pi\)
0.387332 + 0.921940i \(0.373397\pi\)
\(588\) −2.51621e6 + 1.45274e6i −0.0123770 + 0.00714586i
\(589\) 6.98331e7 4.03182e7i 0.341756 0.197313i
\(590\) −4.86149e6 + 8.42035e6i −0.0236708 + 0.0409991i
\(591\) 8.21189e7i 0.397815i
\(592\) −3.75945e7 2.17052e7i −0.181200 0.104616i
\(593\) 6.93171e7 4.00202e7i 0.332412 0.191918i −0.324500 0.945886i \(-0.605196\pi\)
0.656911 + 0.753968i \(0.271863\pi\)
\(594\) 1.37119e8 0.654240
\(595\) 5.45064e6 + 9.44078e6i 0.0258760 + 0.0448185i
\(596\) −1.52819e7 8.82302e6i −0.0721837 0.0416753i
\(597\) 2.50503e7 4.33885e7i 0.117731 0.203916i
\(598\) 1.29450e7i 0.0605338i
\(599\) −8.15823e7 + 1.41305e8i −0.379591 + 0.657470i −0.991003 0.133842i \(-0.957268\pi\)
0.611412 + 0.791312i \(0.290602\pi\)
\(600\) −1.42278e8 −0.658694
\(601\) 2.94599e8i 1.35709i 0.734559 + 0.678545i \(0.237389\pi\)
−0.734559 + 0.678545i \(0.762611\pi\)
\(602\) 3.62458e7 1.95149e8i 0.166138 0.894492i
\(603\) −6.99837e7 −0.319187
\(604\) 7.22504e6i 0.0327891i
\(605\) −7.51209e6 4.33711e6i −0.0339230 0.0195855i
\(606\) −6.88412e7 −0.309336
\(607\) −2.31940e8 1.33911e8i −1.03707 0.598755i −0.118071 0.993005i \(-0.537671\pi\)
−0.919003 + 0.394250i \(0.871004\pi\)
\(608\) 2.49891e7 4.32825e7i 0.111184 0.192576i
\(609\) −1.64593e8 + 9.50281e7i −0.728720 + 0.420727i
\(610\) 3.13195e7i 0.137983i
\(611\) −9.11212e7 1.57827e8i −0.399481 0.691921i
\(612\) −9.46097e6 + 1.63869e7i −0.0412744 + 0.0714894i
\(613\) 6.93307e7 0.300985 0.150492 0.988611i \(-0.451914\pi\)
0.150492 + 0.988611i \(0.451914\pi\)
\(614\) −2.17018e8 1.25295e8i −0.937540 0.541289i
\(615\) −3.25473e6 5.63735e6i −0.0139923 0.0242354i
\(616\) 9.99127e7 + 1.73054e8i 0.427443 + 0.740353i
\(617\) −9.97575e7 1.72785e8i −0.424708 0.735615i 0.571685 0.820473i \(-0.306290\pi\)
−0.996393 + 0.0848577i \(0.972956\pi\)
\(618\) 1.96076e8 0.830730
\(619\) −1.28419e8 2.22428e8i −0.541449 0.937817i −0.998821 0.0485418i \(-0.984543\pi\)
0.457372 0.889275i \(-0.348791\pi\)
\(620\) −3.88736e6 + 2.24437e6i −0.0163110 + 0.00941713i
\(621\) −1.75316e7 1.01219e7i −0.0732061 0.0422655i
\(622\) −2.03998e8 1.17778e8i −0.847724 0.489434i
\(623\) −3.74168e8 −1.54740
\(624\) 8.52532e7i 0.350879i
\(625\) −1.19036e8 + 2.06176e8i −0.487570 + 0.844496i
\(626\) 1.06755e8 1.84906e8i 0.435177 0.753749i
\(627\) −2.66655e7 4.61859e7i −0.108180 0.187373i
\(628\) −1.36194e7 + 7.86319e6i −0.0549896 + 0.0317482i
\(629\) 4.05808e7i 0.163068i
\(630\) −1.11873e7 + 6.45897e6i −0.0447407 + 0.0258310i
\(631\) −1.55185e8 + 8.95964e7i −0.617679 + 0.356617i −0.775965 0.630776i \(-0.782737\pi\)
0.158286 + 0.987393i \(0.449403\pi\)
\(632\) 2.93805e8 1.69629e8i 1.16388 0.671967i
\(633\) −9.80630e6 + 1.69850e7i −0.0386629 + 0.0669660i
\(634\) 1.18223e8i 0.463910i
\(635\) −2.72353e7 1.57243e7i −0.106368 0.0614116i
\(636\) −1.86164e7 + 1.07482e7i −0.0723645 + 0.0417797i
\(637\) −2.02168e7 −0.0782157
\(638\) 1.11614e8 + 1.93321e8i 0.429790 + 0.744419i
\(639\) 7.82011e7 + 4.51494e7i 0.299716 + 0.173041i
\(640\) 5.83854e6 1.01126e7i 0.0222723 0.0385767i
\(641\) 2.48622e8i 0.943986i −0.881602 0.471993i \(-0.843535\pi\)
0.881602 0.471993i \(-0.156465\pi\)
\(642\) 1.77369e7 3.07212e7i 0.0670305 0.116100i
\(643\) 1.71652e8 0.645678 0.322839 0.946454i \(-0.395363\pi\)
0.322839 + 0.946454i \(0.395363\pi\)
\(644\) 5.79188e6i 0.0216851i
\(645\) 2.74286e6 1.47677e7i 0.0102217 0.0550343i
\(646\) −5.93160e7 −0.220026
\(647\) 1.59674e8i 0.589550i −0.955567 0.294775i \(-0.904755\pi\)
0.955567 0.294775i \(-0.0952447\pi\)
\(648\) −2.79847e6 1.61570e6i −0.0102848 0.00593794i
\(649\) −1.23327e8 −0.451152
\(650\) −1.68321e8 9.71802e7i −0.612912 0.353865i
\(651\) −7.49807e7 + 1.29870e8i −0.271773 + 0.470725i
\(652\) 7.17989e6 4.14531e6i 0.0259045 0.0149560i
\(653\) 3.54086e8i 1.27165i 0.771832 + 0.635826i \(0.219341\pi\)
−0.771832 + 0.635826i \(0.780659\pi\)
\(654\) 4.82485e7 + 8.35689e7i 0.172485 + 0.298752i
\(655\) 1.72298e7 2.98429e7i 0.0613136 0.106198i
\(656\) −9.82354e7 −0.347982
\(657\) 9.70861e6 + 5.60527e6i 0.0342343 + 0.0197652i
\(658\) −1.26125e8 2.18456e8i −0.442716 0.766806i
\(659\) −1.66857e8 2.89004e8i −0.583025 1.00983i −0.995118 0.0986874i \(-0.968536\pi\)
0.412093 0.911142i \(-0.364798\pi\)
\(660\) 1.48437e6 + 2.57100e6i 0.00516310 + 0.00894274i
\(661\) 4.20052e8 1.45445 0.727224 0.686400i \(-0.240810\pi\)
0.727224 + 0.686400i \(0.240810\pi\)
\(662\) 8.80846e7 + 1.52567e8i 0.303617 + 0.525880i
\(663\) 6.90189e7 3.98481e7i 0.236825 0.136731i
\(664\) 2.05362e8 + 1.18566e8i 0.701482 + 0.405001i
\(665\) 1.13362e7 + 6.54493e6i 0.0385479 + 0.0222556i
\(666\) 4.80880e7 0.162785
\(667\) 3.29567e7i 0.111062i
\(668\) −479103. + 829830.i −0.00160731 + 0.00278394i
\(669\) 2.79985e7 4.84948e7i 0.0935097 0.161964i
\(670\) 6.10613e6 + 1.05761e7i 0.0203021 + 0.0351643i
\(671\) 3.44035e8 1.98629e8i 1.13877 0.657468i
\(672\) 9.29458e7i 0.306282i
\(673\) −4.87619e8 + 2.81527e8i −1.59969 + 0.923580i −0.608141 + 0.793829i \(0.708085\pi\)
−0.991547 + 0.129751i \(0.958582\pi\)
\(674\) 3.28423e8 1.89615e8i 1.07264 0.619289i
\(675\) 2.63225e8 1.51973e8i 0.855887 0.494147i
\(676\) 1.23026e7 2.13086e7i 0.0398249 0.0689788i
\(677\) 2.57725e7i 0.0830596i 0.999137 + 0.0415298i \(0.0132231\pi\)
−0.999137 + 0.0415298i \(0.986777\pi\)
\(678\) 5.50100e7 + 3.17600e7i 0.176503 + 0.101904i
\(679\) 4.77507e8 2.75689e8i 1.52535 0.880663i
\(680\) 1.68186e7 0.0534889
\(681\) 3.42637e7 + 5.93464e7i 0.108491 + 0.187912i
\(682\) 1.52538e8 + 8.80676e7i 0.480866 + 0.277628i
\(683\) 1.29490e7 2.24283e7i 0.0406419 0.0703938i −0.844989 0.534784i \(-0.820393\pi\)
0.885631 + 0.464390i \(0.153726\pi\)
\(684\) 2.27208e7i 0.0709994i
\(685\) 2.65791e7 4.60363e7i 0.0826929 0.143228i
\(686\) 2.65723e8 0.823109
\(687\) 2.13272e8i 0.657754i
\(688\) −1.72308e8 1.47279e8i −0.529102 0.452245i
\(689\) −1.49576e8 −0.457303
\(690\) 1.35591e6i 0.00412747i
\(691\) −4.16121e8 2.40248e8i −1.26120 0.728157i −0.287897 0.957661i \(-0.592956\pi\)
−0.973308 + 0.229504i \(0.926289\pi\)
\(692\) −8.65008e7 −0.261037
\(693\) −1.41900e8 8.19258e7i −0.426365 0.246162i
\(694\) −2.61048e8 + 4.52148e8i −0.780983 + 1.35270i
\(695\) −1.14004e7 + 6.58201e6i −0.0339597 + 0.0196067i
\(696\) 2.93221e8i 0.869695i
\(697\) −4.59161e7 7.95290e7i −0.135602 0.234870i
\(698\) 2.82515e7 4.89331e7i 0.0830760 0.143892i
\(699\) −2.41518e8 −0.707160
\(700\) 7.53107e7 + 4.34806e7i 0.219565 + 0.126766i
\(701\) 2.03859e8 + 3.53093e8i 0.591800 + 1.02503i 0.993990 + 0.109471i \(0.0349158\pi\)
−0.402190 + 0.915556i \(0.631751\pi\)
\(702\) 1.23022e8 + 2.13080e8i 0.355608 + 0.615931i
\(703\) −2.43640e7 4.21997e7i −0.0701265 0.121463i
\(704\) 2.92569e8 0.838515
\(705\) −9.54441e6 1.65314e7i −0.0272384 0.0471783i
\(706\) 2.94735e8 1.70165e8i 0.837563 0.483567i
\(707\) 1.85606e8 + 1.07160e8i 0.525211 + 0.303231i
\(708\) −2.75428e7 1.59019e7i −0.0776084 0.0448072i
\(709\) −2.29705e8 −0.644514 −0.322257 0.946652i \(-0.604442\pi\)
−0.322257 + 0.946652i \(0.604442\pi\)
\(710\) 1.57573e7i 0.0440257i
\(711\) −1.39091e8 + 2.40913e8i −0.386982 + 0.670272i
\(712\) −2.88636e8 + 4.99932e8i −0.799669 + 1.38507i
\(713\) −1.30020e7 2.25202e7i −0.0358709 0.0621302i
\(714\) 9.55325e7 5.51557e7i 0.262456 0.151529i
\(715\) 2.06570e7i 0.0565131i
\(716\) −2.33590e7 + 1.34863e7i −0.0636379 + 0.0367413i
\(717\) 2.06594e8 1.19277e8i 0.560480 0.323593i
\(718\) 5.05779e8 2.92011e8i 1.36643 0.788908i
\(719\) −1.90521e8 + 3.29993e8i −0.512575 + 0.887805i 0.487319 + 0.873224i \(0.337975\pi\)
−0.999894 + 0.0145813i \(0.995358\pi\)
\(720\) 1.47524e7i 0.0395245i
\(721\) −5.28652e8 3.05217e8i −1.41047 0.814335i
\(722\) 2.21667e8 1.27979e8i 0.588964 0.340039i
\(723\) 2.98813e8 0.790651
\(724\) −4.69068e6 8.12450e6i −0.0123600 0.0214082i
\(725\) 4.28529e8 + 2.47411e8i 1.12452 + 0.649240i
\(726\) −4.38878e7 + 7.60159e7i −0.114692 + 0.198653i
\(727\) 3.00705e8i 0.782595i 0.920264 + 0.391297i \(0.127974\pi\)
−0.920264 + 0.391297i \(0.872026\pi\)
\(728\) −1.79282e8 + 3.10526e8i −0.464668 + 0.804828i
\(729\) −2.34434e8 −0.605115
\(730\) 1.95626e6i 0.00502872i
\(731\) 3.86950e7 2.08335e8i 0.0990610 0.533348i
\(732\) 1.02446e8 0.261192
\(733\) 1.57657e8i 0.400314i 0.979764 + 0.200157i \(0.0641452\pi\)
−0.979764 + 0.200157i \(0.935855\pi\)
\(734\) −1.02268e8 5.90443e7i −0.258613 0.149310i
\(735\) −2.11759e6 −0.00533310
\(736\) −1.39580e7 8.05863e6i −0.0350097 0.0202129i
\(737\) −7.74504e7 + 1.34148e8i −0.193473 + 0.335106i
\(738\) 9.42414e7 5.44103e7i 0.234462 0.135367i
\(739\) 5.04892e8i 1.25102i 0.780215 + 0.625512i \(0.215110\pi\)
−0.780215 + 0.625512i \(0.784890\pi\)
\(740\) 1.35625e6 + 2.34910e6i 0.00334693 + 0.00579704i
\(741\) 4.78482e7 8.28755e7i 0.117601 0.203691i
\(742\) −2.07035e8 −0.506796
\(743\) −3.37302e8 1.94741e8i −0.822342 0.474779i 0.0288817 0.999583i \(-0.490805\pi\)
−0.851223 + 0.524804i \(0.824139\pi\)
\(744\) 1.15681e8 + 2.00365e8i 0.280895 + 0.486524i
\(745\) −6.43046e6 1.11379e7i −0.0155515 0.0269361i
\(746\) −2.19046e8 3.79398e8i −0.527617 0.913859i
\(747\) −1.94442e8 −0.466475
\(748\) 2.09408e7 + 3.62705e7i 0.0500366 + 0.0866659i
\(749\) −9.56427e7 + 5.52194e7i −0.227618 + 0.131415i
\(750\) −3.54090e7 2.04434e7i −0.0839325 0.0484584i
\(751\) 2.99909e8 + 1.73153e8i 0.708060 + 0.408799i 0.810342 0.585957i \(-0.199281\pi\)
−0.102282 + 0.994755i \(0.532615\pi\)
\(752\) −2.88073e8 −0.677406
\(753\) 3.19978e8i 0.749437i
\(754\) −2.00279e8 + 3.46893e8i −0.467219 + 0.809248i
\(755\) −2.63291e6 + 4.56033e6i −0.00611779 + 0.0105963i
\(756\) −5.50428e7 9.53370e7i −0.127390 0.220646i
\(757\) 7.16024e8 4.13397e8i 1.65059 0.952970i 0.673765 0.738946i \(-0.264676\pi\)
0.976828 0.214024i \(-0.0686572\pi\)
\(758\) 3.81472e7i 0.0875900i
\(759\) −1.48943e7 + 8.59922e6i −0.0340639 + 0.0196668i
\(760\) 1.74896e7 1.00976e7i 0.0398417 0.0230026i
\(761\) −3.85298e8 + 2.22452e8i −0.874264 + 0.504756i −0.868763 0.495229i \(-0.835084\pi\)
−0.00550085 + 0.999985i \(0.501751\pi\)
\(762\) −1.59116e8 + 2.75597e8i −0.359625 + 0.622888i
\(763\) 3.00419e8i 0.676323i
\(764\) −8.22820e7 4.75055e7i −0.184512 0.106528i
\(765\) −1.19432e7 + 6.89542e6i −0.0266770 + 0.0154020i