Properties

Label 43.7.d.a.37.18
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 37.18
Character \(\chi\) \(=\) 43.37
Dual form 43.7.d.a.7.4

$q$-expansion

\(f(q)\) \(=\) \(q+10.6207i q^{2} +(-24.0449 - 13.8823i) q^{3} -48.8003 q^{4} +(200.632 + 115.835i) q^{5} +(147.441 - 255.375i) q^{6} +(396.423 - 228.875i) q^{7} +161.432i q^{8} +(20.9373 + 36.2644i) q^{9} +O(q^{10})\) \(q+10.6207i q^{2} +(-24.0449 - 13.8823i) q^{3} -48.8003 q^{4} +(200.632 + 115.835i) q^{5} +(147.441 - 255.375i) q^{6} +(396.423 - 228.875i) q^{7} +161.432i q^{8} +(20.9373 + 36.2644i) q^{9} +(-1230.26 + 2130.86i) q^{10} -1243.46 q^{11} +(1173.40 + 677.461i) q^{12} +(1550.00 + 2684.67i) q^{13} +(2430.82 + 4210.31i) q^{14} +(-3216.12 - 5570.48i) q^{15} -4837.75 q^{16} +(3592.69 + 6222.72i) q^{17} +(-385.155 + 222.369i) q^{18} +(-4533.72 - 2617.54i) q^{19} +(-9790.92 - 5652.79i) q^{20} -12709.3 q^{21} -13206.5i q^{22} +(4973.83 - 8614.93i) q^{23} +(2241.05 - 3881.61i) q^{24} +(19023.0 + 32948.9i) q^{25} +(-28513.2 + 16462.1i) q^{26} +19077.8i q^{27} +(-19345.6 + 11169.2i) q^{28} +(21617.6 - 12481.0i) q^{29} +(59162.7 - 34157.6i) q^{30} +(-10811.5 + 18726.1i) q^{31} -41048.9i q^{32} +(29898.9 + 17262.1i) q^{33} +(-66090.0 + 38157.1i) q^{34} +106047. q^{35} +(-1021.75 - 1769.71i) q^{36} +(-9193.26 - 5307.73i) q^{37} +(27800.3 - 48151.5i) q^{38} -86070.1i q^{39} +(-18699.5 + 32388.5i) q^{40} -44305.1 q^{41} -134982. i q^{42} +(-63329.9 + 48069.6i) q^{43} +60681.3 q^{44} +9701.08i q^{45} +(91497.0 + 52825.8i) q^{46} -2609.90 q^{47} +(116323. + 67159.2i) q^{48} +(45943.1 - 79575.7i) q^{49} +(-349942. + 202039. i) q^{50} -199499. i q^{51} +(-75640.3 - 131013. i) q^{52} +(127756. - 221280. i) q^{53} -202620. q^{54} +(-249479. - 144036. i) q^{55} +(36947.8 + 63995.4i) q^{56} +(72675.1 + 125877. i) q^{57} +(132557. + 229596. i) q^{58} +167723. q^{59} +(156948. + 271841. i) q^{60} +(127952. - 73873.3i) q^{61} +(-198886. - 114827. i) q^{62} +(16600.0 + 9584.04i) q^{63} +126354. q^{64} +718175. i q^{65} +(-183337. + 317548. i) q^{66} +(88913.2 - 154002. i) q^{67} +(-175324. - 303671. i) q^{68} +(-239190. + 138097. i) q^{69} +1.12630e6i q^{70} +(248625. - 143544. i) q^{71} +(-5854.24 + 3379.95i) q^{72} +(-59205.5 + 34182.3i) q^{73} +(56372.1 - 97639.4i) q^{74} -1.05634e6i q^{75} +(221247. + 127737. i) q^{76} +(-492937. + 284597. i) q^{77} +914129. q^{78} +(-160085. - 277276. i) q^{79} +(-970609. - 560381. i) q^{80} +(280107. - 485160. i) q^{81} -470553. i q^{82} +(188103. - 325804. i) q^{83} +620216. q^{84} +1.66464e6i q^{85} +(-510535. - 672611. i) q^{86} -693058. q^{87} -200735. i q^{88} +(-923228. - 533026. i) q^{89} -103033. q^{90} +(1.22891e6 + 709511. i) q^{91} +(-242724. + 420411. i) q^{92} +(519924. - 300179. i) q^{93} -27719.1i q^{94} +(-606407. - 1.05033e6i) q^{95} +(-569853. + 987015. i) q^{96} +508478. q^{97} +(845154. + 487950. i) q^{98} +(-26034.7 - 45093.4i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 10.6207i 1.32759i 0.747913 + 0.663797i \(0.231056\pi\)
−0.747913 + 0.663797i \(0.768944\pi\)
\(3\) −24.0449 13.8823i −0.890551 0.514160i −0.0164282 0.999865i \(-0.505229\pi\)
−0.874123 + 0.485705i \(0.838563\pi\)
\(4\) −48.8003 −0.762505
\(5\) 200.632 + 115.835i 1.60506 + 0.926681i 0.990454 + 0.137845i \(0.0440176\pi\)
0.614604 + 0.788836i \(0.289316\pi\)
\(6\) 147.441 255.375i 0.682595 1.18229i
\(7\) 396.423 228.875i 1.15575 0.667274i 0.205470 0.978663i \(-0.434128\pi\)
0.950282 + 0.311389i \(0.100794\pi\)
\(8\) 161.432i 0.315297i
\(9\) 20.9373 + 36.2644i 0.0287205 + 0.0497454i
\(10\) −1230.26 + 2130.86i −1.23026 + 2.13086i
\(11\) −1243.46 −0.934231 −0.467116 0.884196i \(-0.654707\pi\)
−0.467116 + 0.884196i \(0.654707\pi\)
\(12\) 1173.40 + 677.461i 0.679049 + 0.392049i
\(13\) 1550.00 + 2684.67i 0.705505 + 1.22197i 0.966509 + 0.256633i \(0.0826133\pi\)
−0.261003 + 0.965338i \(0.584053\pi\)
\(14\) 2430.82 + 4210.31i 0.885869 + 1.53437i
\(15\) −3216.12 5570.48i −0.952924 1.65051i
\(16\) −4837.75 −1.18109
\(17\) 3592.69 + 6222.72i 0.731262 + 1.26658i 0.956344 + 0.292243i \(0.0944017\pi\)
−0.225082 + 0.974340i \(0.572265\pi\)
\(18\) −385.155 + 222.369i −0.0660417 + 0.0381292i
\(19\) −4533.72 2617.54i −0.660988 0.381622i 0.131665 0.991294i \(-0.457968\pi\)
−0.792653 + 0.609673i \(0.791301\pi\)
\(20\) −9790.92 5652.79i −1.22386 0.706599i
\(21\) −12709.3 −1.37234
\(22\) 13206.5i 1.24028i
\(23\) 4973.83 8614.93i 0.408797 0.708057i −0.585958 0.810341i \(-0.699282\pi\)
0.994755 + 0.102284i \(0.0326151\pi\)
\(24\) 2241.05 3881.61i 0.162113 0.280788i
\(25\) 19023.0 + 32948.9i 1.21747 + 2.10873i
\(26\) −28513.2 + 16462.1i −1.62228 + 0.936625i
\(27\) 19077.8i 0.969252i
\(28\) −19345.6 + 11169.2i −0.881267 + 0.508800i
\(29\) 21617.6 12481.0i 0.886368 0.511745i 0.0136155 0.999907i \(-0.495666\pi\)
0.872753 + 0.488162i \(0.162333\pi\)
\(30\) 59162.7 34157.6i 2.19121 1.26510i
\(31\) −10811.5 + 18726.1i −0.362913 + 0.628584i −0.988439 0.151619i \(-0.951551\pi\)
0.625526 + 0.780203i \(0.284884\pi\)
\(32\) 41048.9i 1.25271i
\(33\) 29898.9 + 17262.1i 0.831980 + 0.480344i
\(34\) −66090.0 + 38157.1i −1.68151 + 0.970819i
\(35\) 106047. 2.47340
\(36\) −1021.75 1769.71i −0.0218995 0.0379311i
\(37\) −9193.26 5307.73i −0.181495 0.104786i 0.406500 0.913651i \(-0.366749\pi\)
−0.587995 + 0.808865i \(0.700082\pi\)
\(38\) 27800.3 48151.5i 0.506638 0.877523i
\(39\) 86070.1i 1.45097i
\(40\) −18699.5 + 32388.5i −0.292180 + 0.506070i
\(41\) −44305.1 −0.642839 −0.321420 0.946937i \(-0.604160\pi\)
−0.321420 + 0.946937i \(0.604160\pi\)
\(42\) 134982.i 1.82191i
\(43\) −63329.9 + 48069.6i −0.796533 + 0.604596i
\(44\) 60681.3 0.712356
\(45\) 9701.08i 0.106459i
\(46\) 91497.0 + 52825.8i 0.940012 + 0.542716i
\(47\) −2609.90 −0.0251379 −0.0125690 0.999921i \(-0.504001\pi\)
−0.0125690 + 0.999921i \(0.504001\pi\)
\(48\) 116323. + 67159.2i 1.05182 + 0.607270i
\(49\) 45943.1 79575.7i 0.390510 0.676383i
\(50\) −349942. + 202039.i −2.79953 + 1.61631i
\(51\) 199499.i 1.50394i
\(52\) −75640.3 131013.i −0.537951 0.931759i
\(53\) 127756. 221280.i 0.858133 1.48633i −0.0155748 0.999879i \(-0.504958\pi\)
0.873708 0.486451i \(-0.161709\pi\)
\(54\) −202620. −1.28677
\(55\) −249479. 144036.i −1.49950 0.865734i
\(56\) 36947.8 + 63995.4i 0.210390 + 0.364405i
\(57\) 72675.1 + 125877.i 0.392429 + 0.679707i
\(58\) 132557. + 229596.i 0.679389 + 1.17674i
\(59\) 167723. 0.816651 0.408325 0.912836i \(-0.366113\pi\)
0.408325 + 0.912836i \(0.366113\pi\)
\(60\) 156948. + 271841.i 0.726609 + 1.25852i
\(61\) 127952. 73873.3i 0.563714 0.325460i −0.190921 0.981605i \(-0.561147\pi\)
0.754635 + 0.656145i \(0.227814\pi\)
\(62\) −198886. 114827.i −0.834504 0.481801i
\(63\) 16600.0 + 9584.04i 0.0663877 + 0.0383289i
\(64\) 126354. 0.482001
\(65\) 718175.i 2.61511i
\(66\) −183337. + 317548.i −0.637702 + 1.10453i
\(67\) 88913.2 154002.i 0.295626 0.512038i −0.679505 0.733671i \(-0.737805\pi\)
0.975130 + 0.221633i \(0.0711386\pi\)
\(68\) −175324. 303671.i −0.557591 0.965776i
\(69\) −239190. + 138097.i −0.728109 + 0.420374i
\(70\) 1.12630e6i 3.28367i
\(71\) 248625. 143544.i 0.694656 0.401060i −0.110698 0.993854i \(-0.535309\pi\)
0.805354 + 0.592794i \(0.201975\pi\)
\(72\) −5854.24 + 3379.95i −0.0156846 + 0.00905550i
\(73\) −59205.5 + 34182.3i −0.152193 + 0.0878685i −0.574162 0.818741i \(-0.694672\pi\)
0.421970 + 0.906610i \(0.361339\pi\)
\(74\) 56372.1 97639.4i 0.139113 0.240952i
\(75\) 1.05634e6i 2.50391i
\(76\) 221247. + 127737.i 0.504007 + 0.290988i
\(77\) −492937. + 284597.i −1.07974 + 0.623388i
\(78\) 914129. 1.92630
\(79\) −160085. 277276.i −0.324691 0.562381i 0.656759 0.754101i \(-0.271927\pi\)
−0.981450 + 0.191720i \(0.938594\pi\)
\(80\) −970609. 560381.i −1.89572 1.09449i
\(81\) 280107. 485160.i 0.527071 0.912913i
\(82\) 470553.i 0.853429i
\(83\) 188103. 325804.i 0.328974 0.569800i −0.653334 0.757070i \(-0.726630\pi\)
0.982309 + 0.187269i \(0.0599637\pi\)
\(84\) 620216. 1.04642
\(85\) 1.66464e6i 2.71059i
\(86\) −510535. 672611.i −0.802657 1.05747i
\(87\) −693058. −1.05247
\(88\) 200735.i 0.294560i
\(89\) −923228. 533026.i −1.30960 0.756099i −0.327572 0.944826i \(-0.606230\pi\)
−0.982029 + 0.188728i \(0.939564\pi\)
\(90\) −103033. −0.141334
\(91\) 1.22891e6 + 709511.i 1.63078 + 0.941531i
\(92\) −242724. + 420411.i −0.311710 + 0.539897i
\(93\) 519924. 300179.i 0.646385 0.373191i
\(94\) 27719.1i 0.0333730i
\(95\) −606407. 1.05033e6i −0.707283 1.22505i
\(96\) −569853. + 987015.i −0.644094 + 1.11560i
\(97\) 508478. 0.557131 0.278565 0.960417i \(-0.410141\pi\)
0.278565 + 0.960417i \(0.410141\pi\)
\(98\) 845154. + 487950.i 0.897961 + 0.518438i
\(99\) −26034.7 45093.4i −0.0268316 0.0464737i
\(100\) −928330. 1.60791e6i −0.928330 1.60791i
\(101\) 607392. + 1.05203e6i 0.589528 + 1.02109i 0.994294 + 0.106673i \(0.0340197\pi\)
−0.404766 + 0.914420i \(0.632647\pi\)
\(102\) 2.11883e6 1.99662
\(103\) 251946. + 436383.i 0.230566 + 0.399353i 0.957975 0.286852i \(-0.0926088\pi\)
−0.727409 + 0.686205i \(0.759275\pi\)
\(104\) −433392. + 250219.i −0.385284 + 0.222444i
\(105\) −2.54989e6 1.47218e6i −2.20269 1.27172i
\(106\) 2.35016e6 + 1.35687e6i 1.97324 + 1.13925i
\(107\) −952736. −0.777716 −0.388858 0.921298i \(-0.627130\pi\)
−0.388858 + 0.921298i \(0.627130\pi\)
\(108\) 931002.i 0.739059i
\(109\) 828731. 1.43540e6i 0.639933 1.10840i −0.345514 0.938413i \(-0.612296\pi\)
0.985447 0.169982i \(-0.0543711\pi\)
\(110\) 1.52978e6 2.64965e6i 1.14934 1.99072i
\(111\) 147367. + 255248.i 0.107754 + 0.186635i
\(112\) −1.91780e6 + 1.10724e6i −1.36505 + 0.788112i
\(113\) 1.92856e6i 1.33659i −0.743898 0.668293i \(-0.767025\pi\)
0.743898 0.668293i \(-0.232975\pi\)
\(114\) −1.33691e6 + 771864.i −0.902374 + 0.520986i
\(115\) 1.99582e6 1.15229e6i 1.31229 0.757648i
\(116\) −1.05495e6 + 609074.i −0.675860 + 0.390208i
\(117\) −64905.3 + 112419.i −0.0405250 + 0.0701913i
\(118\) 1.78134e6i 1.08418i
\(119\) 2.84845e6 + 1.64455e6i 1.69032 + 0.975905i
\(120\) 899254. 519185.i 0.520402 0.300454i
\(121\) −225364. −0.127212
\(122\) 784590. + 1.35895e6i 0.432079 + 0.748383i
\(123\) 1.06531e6 + 615057.i 0.572481 + 0.330522i
\(124\) 527607. 913842.i 0.276723 0.479298i
\(125\) 5.19429e6i 2.65948i
\(126\) −101790. + 176305.i −0.0508853 + 0.0881359i
\(127\) −612302. −0.298919 −0.149460 0.988768i \(-0.547753\pi\)
−0.149460 + 0.988768i \(0.547753\pi\)
\(128\) 1.28516e6i 0.612810i
\(129\) 2.19008e6 276661.i 1.02021 0.128878i
\(130\) −7.62756e6 −3.47181
\(131\) 977989.i 0.435031i −0.976057 0.217515i \(-0.930205\pi\)
0.976057 0.217515i \(-0.0697952\pi\)
\(132\) −1.45907e6 842397.i −0.634389 0.366265i
\(133\) −2.39636e6 −1.01858
\(134\) 1.63562e6 + 944325.i 0.679779 + 0.392471i
\(135\) −2.20988e6 + 3.82762e6i −0.898187 + 1.55571i
\(136\) −1.00455e6 + 579976.i −0.399350 + 0.230565i
\(137\) 933465.i 0.363025i 0.983389 + 0.181512i \(0.0580993\pi\)
−0.983389 + 0.181512i \(0.941901\pi\)
\(138\) −1.46669e6 2.54038e6i −0.558086 0.966632i
\(139\) −179695. + 311240.i −0.0669100 + 0.115891i −0.897540 0.440934i \(-0.854647\pi\)
0.830630 + 0.556825i \(0.187981\pi\)
\(140\) −5.17513e6 −1.88598
\(141\) 62754.6 + 36231.4i 0.0223866 + 0.0129249i
\(142\) 1.52454e6 + 2.64058e6i 0.532445 + 0.922221i
\(143\) −1.92736e6 3.33828e6i −0.659105 1.14160i
\(144\) −101289. 175438.i −0.0339216 0.0587539i
\(145\) 5.78293e6 1.89690
\(146\) −363042. 628807.i −0.116654 0.202050i
\(147\) −2.20939e6 + 1.27559e6i −0.695537 + 0.401569i
\(148\) 448634. + 259019.i 0.138391 + 0.0799000i
\(149\) −2.41432e6 1.39391e6i −0.729854 0.421381i 0.0885149 0.996075i \(-0.471788\pi\)
−0.818369 + 0.574694i \(0.805121\pi\)
\(150\) 1.12191e7 3.32417
\(151\) 1.98425e6i 0.576322i −0.957582 0.288161i \(-0.906956\pi\)
0.957582 0.288161i \(-0.0930438\pi\)
\(152\) 422555. 731887.i 0.120324 0.208408i
\(153\) −150442. + 260574.i −0.0420045 + 0.0727539i
\(154\) −3.02264e6 5.23536e6i −0.827606 1.43346i
\(155\) −4.33829e6 + 2.50471e6i −1.16499 + 0.672609i
\(156\) 4.20025e6i 1.10637i
\(157\) −430389. + 248485.i −0.111215 + 0.0642099i −0.554576 0.832133i \(-0.687119\pi\)
0.443361 + 0.896343i \(0.353786\pi\)
\(158\) 2.94488e6 1.70023e6i 0.746613 0.431057i
\(159\) −6.14377e6 + 3.54711e6i −1.52842 + 0.882435i
\(160\) 4.75490e6 8.23573e6i 1.16086 2.01068i
\(161\) 4.55354e6i 1.09112i
\(162\) 5.15276e6 + 2.97495e6i 1.21198 + 0.699736i
\(163\) 3.55607e6 2.05310e6i 0.821122 0.474075i −0.0296810 0.999559i \(-0.509449\pi\)
0.850803 + 0.525484i \(0.176116\pi\)
\(164\) 2.16210e6 0.490168
\(165\) 3.99912e6 + 6.92668e6i 0.890251 + 1.54196i
\(166\) 3.46029e6 + 1.99780e6i 0.756463 + 0.436744i
\(167\) −2.25981e6 + 3.91411e6i −0.485203 + 0.840396i −0.999855 0.0170031i \(-0.994587\pi\)
0.514653 + 0.857399i \(0.327921\pi\)
\(168\) 2.05168e6i 0.432695i
\(169\) −2.39157e6 + 4.14232e6i −0.495476 + 0.858189i
\(170\) −1.76797e7 −3.59856
\(171\) 219217.i 0.0438415i
\(172\) 3.09052e6 2.34581e6i 0.607360 0.461007i
\(173\) −518250. −0.100092 −0.0500462 0.998747i \(-0.515937\pi\)
−0.0500462 + 0.998747i \(0.515937\pi\)
\(174\) 7.36079e6i 1.39726i
\(175\) 1.50823e7 + 8.70780e6i 2.81420 + 1.62478i
\(176\) 6.01556e6 1.10341
\(177\) −4.03288e6 2.32838e6i −0.727269 0.419889i
\(178\) 5.66114e6 9.80537e6i 1.00379 1.73862i
\(179\) 7.06713e6 4.08021e6i 1.23221 0.711415i 0.264718 0.964326i \(-0.414721\pi\)
0.967490 + 0.252911i \(0.0813879\pi\)
\(180\) 473416.i 0.0811756i
\(181\) −3.14719e6 5.45109e6i −0.530746 0.919279i −0.999356 0.0358741i \(-0.988578\pi\)
0.468610 0.883405i \(-0.344755\pi\)
\(182\) −7.53553e6 + 1.30519e7i −1.24997 + 2.16501i
\(183\) −4.10213e6 −0.669355
\(184\) 1.39073e6 + 802936.i 0.223248 + 0.128892i
\(185\) −1.22964e6 2.12981e6i −0.194207 0.336376i
\(186\) 3.18812e6 + 5.52199e6i 0.495446 + 0.858137i
\(187\) −4.46737e6 7.73772e6i −0.683168 1.18328i
\(188\) 127364. 0.0191678
\(189\) 4.36643e6 + 7.56288e6i 0.646757 + 1.12022i
\(190\) 1.11553e7 6.44049e6i 1.62637 0.938984i
\(191\) −5.07270e6 2.92873e6i −0.728014 0.420319i 0.0896814 0.995971i \(-0.471415\pi\)
−0.817695 + 0.575652i \(0.804748\pi\)
\(192\) −3.03816e6 1.75408e6i −0.429247 0.247826i
\(193\) −7.00993e6 −0.975084 −0.487542 0.873100i \(-0.662106\pi\)
−0.487542 + 0.873100i \(0.662106\pi\)
\(194\) 5.40042e6i 0.739643i
\(195\) 9.96994e6 1.72684e7i 1.34459 2.32889i
\(196\) −2.24204e6 + 3.88332e6i −0.297766 + 0.515745i
\(197\) −134698. 233304.i −0.0176183 0.0305158i 0.857082 0.515180i \(-0.172275\pi\)
−0.874700 + 0.484665i \(0.838942\pi\)
\(198\) 478926. 276508.i 0.0616982 0.0356215i
\(199\) 5.60169e6i 0.710821i 0.934710 + 0.355410i \(0.115659\pi\)
−0.934710 + 0.355410i \(0.884341\pi\)
\(200\) −5.31900e6 + 3.07093e6i −0.664875 + 0.383866i
\(201\) −4.27581e6 + 2.46864e6i −0.526539 + 0.303998i
\(202\) −1.11734e7 + 6.45095e6i −1.35560 + 0.782654i
\(203\) 5.71316e6 9.89548e6i 0.682949 1.18290i
\(204\) 9.73564e6i 1.14676i
\(205\) −8.88903e6 5.13209e6i −1.03179 0.595707i
\(206\) −4.63472e6 + 2.67586e6i −0.530178 + 0.306098i
\(207\) 416554. 0.0469635
\(208\) −7.49849e6 1.29878e7i −0.833266 1.44326i
\(209\) 5.63750e6 + 3.25481e6i 0.617515 + 0.356523i
\(210\) 1.56356e7 2.70817e7i 1.68833 2.92428i
\(211\) 7.56585e6i 0.805398i 0.915333 + 0.402699i \(0.131928\pi\)
−0.915333 + 0.402699i \(0.868072\pi\)
\(212\) −6.23455e6 + 1.07985e7i −0.654331 + 1.13333i
\(213\) −7.97088e6 −0.824835
\(214\) 1.01188e7i 1.03249i
\(215\) −1.82742e7 + 2.30848e6i −1.83875 + 0.232280i
\(216\) −3.07977e6 −0.305602
\(217\) 9.89797e6i 0.968650i
\(218\) 1.52451e7 + 8.80175e6i 1.47150 + 0.849571i
\(219\) 1.89812e6 0.180714
\(220\) 1.21746e7 + 7.02903e6i 1.14337 + 0.660126i
\(221\) −1.11373e7 + 1.92904e7i −1.03182 + 1.78716i
\(222\) −2.71092e6 + 1.56515e6i −0.247775 + 0.143053i
\(223\) 1.06614e7i 0.961391i −0.876888 0.480696i \(-0.840384\pi\)
0.876888 0.480696i \(-0.159616\pi\)
\(224\) −9.39506e6 1.62727e7i −0.835902 1.44783i
\(225\) −796581. + 1.37972e6i −0.0699330 + 0.121128i
\(226\) 2.04827e7 1.77444
\(227\) −1.90133e6 1.09773e6i −0.162547 0.0938467i 0.416520 0.909127i \(-0.363250\pi\)
−0.579067 + 0.815280i \(0.696583\pi\)
\(228\) −3.54657e6 6.14283e6i −0.299229 0.518280i
\(229\) 3.47447e6 + 6.01796e6i 0.289322 + 0.501121i 0.973648 0.228055i \(-0.0732367\pi\)
−0.684326 + 0.729176i \(0.739903\pi\)
\(230\) 1.22382e7 + 2.11971e7i 1.00585 + 1.74218i
\(231\) 1.58035e7 1.28208
\(232\) 2.01483e6 + 3.48978e6i 0.161352 + 0.279469i
\(233\) 5.71363e6 3.29876e6i 0.451694 0.260785i −0.256852 0.966451i \(-0.582685\pi\)
0.708545 + 0.705665i \(0.249352\pi\)
\(234\) −1.19398e6 689343.i −0.0931856 0.0538007i
\(235\) −523629. 302318.i −0.0403479 0.0232948i
\(236\) −8.18493e6 −0.622700
\(237\) 8.88941e6i 0.667772i
\(238\) −1.74664e7 + 3.02527e7i −1.29560 + 2.24405i
\(239\) 3.28044e6 5.68189e6i 0.240291 0.416197i −0.720506 0.693449i \(-0.756090\pi\)
0.960797 + 0.277252i \(0.0894236\pi\)
\(240\) 1.55588e7 + 2.69486e7i 1.12549 + 1.94941i
\(241\) −1.19395e7 + 6.89329e6i −0.852974 + 0.492465i −0.861653 0.507498i \(-0.830571\pi\)
0.00867919 + 0.999962i \(0.497237\pi\)
\(242\) 2.39354e6i 0.168886i
\(243\) −1.42585e6 + 823216.i −0.0993700 + 0.0573713i
\(244\) −6.24412e6 + 3.60504e6i −0.429835 + 0.248165i
\(245\) 1.84353e7 1.06436e7i 1.25358 0.723756i
\(246\) −6.53237e6 + 1.13144e7i −0.438799 + 0.760022i
\(247\) 1.62287e7i 1.07694i
\(248\) −3.02300e6 1.74533e6i −0.198191 0.114425i
\(249\) −9.04584e6 + 5.22262e6i −0.585937 + 0.338291i
\(250\) −5.51673e7 −3.53071
\(251\) 7.34562e6 + 1.27230e7i 0.464523 + 0.804577i 0.999180 0.0404920i \(-0.0128925\pi\)
−0.534657 + 0.845069i \(0.679559\pi\)
\(252\) −810087. 467704.i −0.0506209 0.0292260i
\(253\) −6.18477e6 + 1.07123e7i −0.381911 + 0.661489i
\(254\) 6.50310e6i 0.396844i
\(255\) 2.31090e7 4.00260e7i 1.39367 2.41391i
\(256\) 2.17360e7 1.29556
\(257\) 2.99469e7i 1.76422i −0.471047 0.882108i \(-0.656124\pi\)
0.471047 0.882108i \(-0.343876\pi\)
\(258\) 2.93835e6 + 2.32603e7i 0.171098 + 1.35443i
\(259\) −4.85923e6 −0.279684
\(260\) 3.50472e7i 1.99404i
\(261\) 905229. + 522634.i 0.0509140 + 0.0293952i
\(262\) 1.03870e7 0.577544
\(263\) 1.71749e7 + 9.91594e6i 0.944120 + 0.545088i 0.891249 0.453514i \(-0.149830\pi\)
0.0528704 + 0.998601i \(0.483163\pi\)
\(264\) −2.78666e6 + 4.82664e6i −0.151451 + 0.262321i
\(265\) 5.12641e7 2.95973e7i 2.75471 1.59043i
\(266\) 2.54511e7i 1.35227i
\(267\) 1.47993e7 + 2.56331e7i 0.777511 + 1.34669i
\(268\) −4.33899e6 + 7.51536e6i −0.225416 + 0.390432i
\(269\) 2.25175e7 1.15682 0.578408 0.815748i \(-0.303674\pi\)
0.578408 + 0.815748i \(0.303674\pi\)
\(270\) −4.06522e7 2.34705e7i −2.06534 1.19243i
\(271\) 1.34514e7 + 2.32985e7i 0.675866 + 1.17063i 0.976215 + 0.216804i \(0.0695634\pi\)
−0.300349 + 0.953829i \(0.597103\pi\)
\(272\) −1.73805e7 3.01040e7i −0.863687 1.49595i
\(273\) −1.96993e7 3.41202e7i −0.968195 1.67696i
\(274\) −9.91410e6 −0.481950
\(275\) −2.36544e7 4.09706e7i −1.13740 1.97004i
\(276\) 1.16726e7 6.73916e6i 0.555186 0.320537i
\(277\) −3.19959e7 1.84729e7i −1.50541 0.869150i −0.999980 0.00628324i \(-0.998000\pi\)
−0.505432 0.862867i \(-0.668667\pi\)
\(278\) −3.30561e6 1.90849e6i −0.153857 0.0888293i
\(279\) −905457. −0.0416922
\(280\) 1.71194e7i 0.779856i
\(281\) −1.70637e7 + 2.95551e7i −0.769048 + 1.33203i 0.169032 + 0.985611i \(0.445936\pi\)
−0.938080 + 0.346420i \(0.887397\pi\)
\(282\) −384805. + 666501.i −0.0171590 + 0.0297203i
\(283\) −8.82405e6 1.52837e7i −0.389322 0.674325i 0.603037 0.797713i \(-0.293957\pi\)
−0.992358 + 0.123389i \(0.960624\pi\)
\(284\) −1.21330e7 + 7.00498e6i −0.529679 + 0.305810i
\(285\) 3.36733e7i 1.45463i
\(286\) 3.54551e7 2.04700e7i 1.51559 0.875024i
\(287\) −1.75636e7 + 1.01403e7i −0.742963 + 0.428950i
\(288\) 1.48861e6 859451.i 0.0623167 0.0359786i
\(289\) −1.37461e7 + 2.38089e7i −0.569489 + 0.986384i
\(290\) 6.14190e7i 2.51831i
\(291\) −1.22263e7 7.05885e6i −0.496153 0.286454i
\(292\) 2.88925e6 1.66811e6i 0.116048 0.0670001i
\(293\) 3.03619e7 1.20705 0.603525 0.797344i \(-0.293762\pi\)
0.603525 + 0.797344i \(0.293762\pi\)
\(294\) −1.35477e7 2.34654e7i −0.533120 0.923391i
\(295\) 3.36506e7 + 1.94282e7i 1.31077 + 0.756774i
\(296\) 856838. 1.48409e6i 0.0330388 0.0572248i
\(297\) 2.37225e7i 0.905505i
\(298\) 1.48043e7 2.56419e7i 0.559423 0.968949i
\(299\) 3.08377e7 1.15363
\(300\) 5.15495e7i 1.90924i
\(301\) −1.41035e7 + 3.35505e7i −0.517164 + 1.23027i
\(302\) 2.10742e7 0.765121
\(303\) 3.37280e7i 1.21245i
\(304\) 2.19330e7 + 1.26630e7i 0.780687 + 0.450730i
\(305\) 3.42285e7 1.20639
\(306\) −2.76749e6 1.59781e6i −0.0965876 0.0557649i
\(307\) −8.70567e6 + 1.50787e7i −0.300876 + 0.521132i −0.976335 0.216266i \(-0.930612\pi\)
0.675459 + 0.737398i \(0.263946\pi\)
\(308\) 2.40555e7 1.38884e7i 0.823307 0.475337i
\(309\) 1.39904e7i 0.474192i
\(310\) −2.66019e7 4.60759e7i −0.892952 1.54664i
\(311\) −2.71791e6 + 4.70755e6i −0.0903552 + 0.156500i −0.907661 0.419705i \(-0.862134\pi\)
0.817305 + 0.576205i \(0.195467\pi\)
\(312\) 1.38945e7 0.457487
\(313\) −1.07184e7 6.18827e6i −0.349540 0.201807i 0.314943 0.949111i \(-0.398015\pi\)
−0.664483 + 0.747304i \(0.731348\pi\)
\(314\) −2.63910e6 4.57106e6i −0.0852446 0.147648i
\(315\) 2.22034e6 + 3.84573e6i 0.0710374 + 0.123040i
\(316\) 7.81221e6 + 1.35311e7i 0.247578 + 0.428818i
\(317\) 1.84901e7 0.580444 0.290222 0.956959i \(-0.406271\pi\)
0.290222 + 0.956959i \(0.406271\pi\)
\(318\) −3.76729e7 6.52514e7i −1.17151 2.02912i
\(319\) −2.68807e7 + 1.55196e7i −0.828073 + 0.478088i
\(320\) 2.53506e7 + 1.46362e7i 0.773640 + 0.446661i
\(321\) 2.29084e7 + 1.32262e7i 0.692596 + 0.399870i
\(322\) 4.83620e7 1.44856
\(323\) 3.76161e7i 1.11626i
\(324\) −1.36693e7 + 2.36759e7i −0.401894 + 0.696101i
\(325\) −5.89712e7 + 1.02141e8i −1.71787 + 2.97544i
\(326\) 2.18055e7 + 3.77682e7i 0.629379 + 1.09012i
\(327\) −3.98535e7 + 2.30094e7i −1.13979 + 0.658055i
\(328\) 7.15227e6i 0.202685i
\(329\) −1.03462e6 + 597340.i −0.0290532 + 0.0167739i
\(330\) −7.35665e7 + 4.24736e7i −2.04710 + 1.18189i
\(331\) 3.18018e7 1.83608e7i 0.876935 0.506298i 0.00728821 0.999973i \(-0.497680\pi\)
0.869647 + 0.493675i \(0.164347\pi\)
\(332\) −9.17950e6 + 1.58994e7i −0.250845 + 0.434476i
\(333\) 444518.i 0.0120381i
\(334\) −4.15708e7 2.40009e7i −1.11570 0.644152i
\(335\) 3.56777e7 2.05985e7i 0.948992 0.547901i
\(336\) 6.14842e7 1.62086
\(337\) −1.31887e7 2.28435e7i −0.344597 0.596860i 0.640683 0.767805i \(-0.278651\pi\)
−0.985280 + 0.170945i \(0.945318\pi\)
\(338\) −4.39945e7 2.54002e7i −1.13933 0.657791i
\(339\) −2.67728e7 + 4.63719e7i −0.687218 + 1.19030i
\(340\) 8.12349e7i 2.06684i
\(341\) 1.34437e7 2.32852e7i 0.339045 0.587243i
\(342\) 2.32825e6 0.0582037
\(343\) 1.17929e7i 0.292240i
\(344\) −7.75997e6 1.02235e7i −0.190627 0.251144i
\(345\) −6.39857e7 −1.55821
\(346\) 5.50420e6i 0.132882i
\(347\) 1.88152e6 + 1.08630e6i 0.0450319 + 0.0259992i 0.522347 0.852733i \(-0.325057\pi\)
−0.477315 + 0.878732i \(0.658390\pi\)
\(348\) 3.38214e7 0.802517
\(349\) 2.44807e7 + 1.41339e7i 0.575900 + 0.332496i 0.759502 0.650505i \(-0.225443\pi\)
−0.183603 + 0.983001i \(0.558776\pi\)
\(350\) −9.24833e7 + 1.60186e8i −2.15705 + 3.73611i
\(351\) −5.12176e7 + 2.95705e7i −1.18440 + 0.683812i
\(352\) 5.10427e7i 1.17032i
\(353\) −2.19203e6 3.79670e6i −0.0498336 0.0863143i 0.840033 0.542536i \(-0.182536\pi\)
−0.889866 + 0.456222i \(0.849202\pi\)
\(354\) 2.47292e7 4.28322e7i 0.557442 0.965517i
\(355\) 6.65096e7 1.48662
\(356\) 4.50538e7 + 2.60118e7i 0.998577 + 0.576529i
\(357\) −4.56604e7 7.90862e7i −1.00354 1.73819i
\(358\) 4.33349e7 + 7.50582e7i 0.944470 + 1.63587i
\(359\) −3.45754e7 5.98863e7i −0.747280 1.29433i −0.949122 0.314909i \(-0.898026\pi\)
0.201842 0.979418i \(-0.435307\pi\)
\(360\) −1.56607e6 −0.0335662
\(361\) −9.81988e6 1.70085e7i −0.208730 0.361531i
\(362\) 5.78946e7 3.34255e7i 1.22043 0.704615i
\(363\) 5.41886e6 + 3.12858e6i 0.113289 + 0.0654075i
\(364\) −5.99711e7 3.46243e7i −1.24348 0.717922i
\(365\) −1.58381e7 −0.325704
\(366\) 4.35677e7i 0.888631i
\(367\) −2.71296e7 + 4.69898e7i −0.548839 + 0.950617i 0.449516 + 0.893272i \(0.351597\pi\)
−0.998354 + 0.0573443i \(0.981737\pi\)
\(368\) −2.40621e7 + 4.16769e7i −0.482826 + 0.836280i
\(369\) −927628. 1.60670e6i −0.0184627 0.0319783i
\(370\) 2.26201e7 1.30597e7i 0.446570 0.257828i
\(371\) 1.16961e8i 2.29044i
\(372\) −2.53725e7 + 1.46488e7i −0.492872 + 0.284560i
\(373\) −7.88799e6 + 4.55413e6i −0.151999 + 0.0877565i −0.574070 0.818806i \(-0.694636\pi\)
0.422072 + 0.906562i \(0.361303\pi\)
\(374\) 8.21804e7 4.74469e7i 1.57092 0.906969i
\(375\) 7.21088e7 1.24896e8i 1.36740 2.36840i
\(376\) 421321.i 0.00792592i
\(377\) 6.70145e7 + 3.86908e7i 1.25068 + 0.722078i
\(378\) −8.03234e7 + 4.63747e7i −1.48719 + 0.858630i
\(379\) −6.74103e7 −1.23825 −0.619125 0.785292i \(-0.712513\pi\)
−0.619125 + 0.785292i \(0.712513\pi\)
\(380\) 2.95928e7 + 5.12563e7i 0.539307 + 0.934106i
\(381\) 1.47227e7 + 8.50016e6i 0.266203 + 0.153692i
\(382\) 3.11053e7 5.38759e7i 0.558013 0.966506i
\(383\) 7.50853e7i 1.33647i 0.743951 + 0.668234i \(0.232950\pi\)
−0.743951 + 0.668234i \(0.767050\pi\)
\(384\) −1.78409e7 + 3.09014e7i −0.315082 + 0.545739i
\(385\) −1.31865e8 −2.31073
\(386\) 7.44507e7i 1.29451i
\(387\) −3.06917e6 1.29018e6i −0.0529527 0.0222595i
\(388\) −2.48139e7 −0.424815
\(389\) 6.64914e7i 1.12958i 0.825235 + 0.564790i \(0.191043\pi\)
−0.825235 + 0.564790i \(0.808957\pi\)
\(390\) 1.83404e8 + 1.05888e8i 3.09182 + 1.78506i
\(391\) 7.14778e7 1.19575
\(392\) 1.28461e7 + 7.41669e6i 0.213261 + 0.123127i
\(393\) −1.35767e7 + 2.35156e7i −0.223675 + 0.387417i
\(394\) 2.47787e6 1.43060e6i 0.0405125 0.0233899i
\(395\) 7.41739e7i 1.20354i
\(396\) 1.27050e6 + 2.20057e6i 0.0204592 + 0.0354364i
\(397\) −3.13838e7 + 5.43584e7i −0.501573 + 0.868750i 0.498425 + 0.866933i \(0.333912\pi\)
−0.999998 + 0.00181768i \(0.999421\pi\)
\(398\) −5.94942e7 −0.943681
\(399\) 5.76202e7 + 3.32670e7i 0.907102 + 0.523715i
\(400\) −9.20287e7 1.59398e8i −1.43795 2.49060i
\(401\) 3.01435e7 + 5.22101e7i 0.467478 + 0.809695i 0.999310 0.0371547i \(-0.0118294\pi\)
−0.531832 + 0.846850i \(0.678496\pi\)
\(402\) −2.62188e7 4.54124e7i −0.403585 0.699030i
\(403\) −6.70314e7 −1.02415
\(404\) −2.96409e7 5.13395e7i −0.449518 0.778588i
\(405\) 1.12397e8 6.48924e7i 1.69196 0.976853i
\(406\) 1.05097e8 + 6.06780e7i 1.57041 + 0.906678i
\(407\) 1.14315e7 + 6.59996e6i 0.169558 + 0.0978945i
\(408\) 3.22056e7 0.474189
\(409\) 1.05062e8i 1.53559i 0.640695 + 0.767796i \(0.278646\pi\)
−0.640695 + 0.767796i \(0.721354\pi\)
\(410\) 5.45066e7 9.44082e7i 0.790856 1.36980i
\(411\) 1.29587e7 2.24451e7i 0.186653 0.323292i
\(412\) −1.22950e7 2.12956e7i −0.175808 0.304508i
\(413\) 6.64892e7 3.83876e7i 0.943846 0.544930i
\(414\) 4.42411e6i 0.0623484i
\(415\) 7.54792e7 4.35779e7i 1.05605 0.609708i
\(416\) 1.10203e8 6.36256e7i 1.53078 0.883795i
\(417\) 8.64147e6 4.98916e6i 0.119173 0.0688048i
\(418\) −3.45686e7 + 5.98745e7i −0.473317 + 0.819810i
\(419\) 6.40236e7i 0.870358i −0.900344 0.435179i \(-0.856685\pi\)
0.900344 0.435179i \(-0.143315\pi\)
\(420\) 1.24435e8 + 7.18428e7i 1.67956 + 0.969695i
\(421\) −9.99000e6 + 5.76773e6i −0.133881 + 0.0772963i −0.565445 0.824786i \(-0.691295\pi\)
0.431564 + 0.902083i \(0.357962\pi\)
\(422\) −8.03550e7 −1.06924
\(423\) −54644.1 94646.4i −0.000721975 0.00125050i
\(424\) 3.57217e7 + 2.06240e7i 0.468635 + 0.270567i
\(425\) −1.36688e8 + 2.36750e8i −1.78059 + 3.08407i
\(426\) 8.46567e7i 1.09505i
\(427\) 3.38155e7 5.85702e7i 0.434343 0.752304i
\(428\) 4.64938e7 0.593012
\(429\) 1.07025e8i 1.35554i
\(430\) −2.45178e7 1.94085e8i −0.308373 2.44111i
\(431\) −1.50248e8 −1.87662 −0.938310 0.345794i \(-0.887609\pi\)
−0.938310 + 0.345794i \(0.887609\pi\)
\(432\) 9.22935e7i 1.14477i
\(433\) 4.27692e7 + 2.46928e7i 0.526826 + 0.304163i 0.739723 0.672912i \(-0.234957\pi\)
−0.212897 + 0.977075i \(0.568290\pi\)
\(434\) −1.05124e8 −1.28597
\(435\) −1.39050e8 8.02804e7i −1.68928 0.975308i
\(436\) −4.04423e7 + 7.00482e7i −0.487952 + 0.845157i
\(437\) −4.50999e7 + 2.60384e7i −0.540420 + 0.312011i
\(438\) 2.01594e7i 0.239914i
\(439\) −1.28295e7 2.22214e7i −0.151641 0.262650i 0.780190 0.625543i \(-0.215123\pi\)
−0.931831 + 0.362893i \(0.881789\pi\)
\(440\) 2.32521e7 4.02738e7i 0.272963 0.472786i
\(441\) 3.84769e6 0.0448626
\(442\) −2.04878e8 1.18287e8i −2.37263 1.36984i
\(443\) 6.23598e7 + 1.08010e8i 0.717288 + 1.24238i 0.962070 + 0.272802i \(0.0879503\pi\)
−0.244782 + 0.969578i \(0.578716\pi\)
\(444\) −7.19157e6 1.24562e7i −0.0821627 0.142310i
\(445\) −1.23486e8 2.13884e8i −1.40132 2.42716i
\(446\) 1.13232e8 1.27634
\(447\) 3.87013e7 + 6.70327e7i 0.433315 + 0.750523i
\(448\) 5.00896e7 2.89192e7i 0.557075 0.321627i
\(449\) −5.53944e7 3.19820e7i −0.611965 0.353318i 0.161769 0.986829i \(-0.448280\pi\)
−0.773734 + 0.633510i \(0.781613\pi\)
\(450\) −1.46536e7 8.46029e6i −0.160808 0.0928426i
\(451\) 5.50917e7 0.600560
\(452\) 9.41141e7i 1.01915i
\(453\) −2.75460e7 + 4.77110e7i −0.296322 + 0.513244i
\(454\) 1.16587e7 2.01935e7i 0.124590 0.215797i
\(455\) 1.64372e8 + 2.84701e8i 1.74500 + 3.02242i
\(456\) −2.03206e7 + 1.17321e7i −0.214310 + 0.123732i
\(457\) 9.76451e7i 1.02306i 0.859265 + 0.511531i \(0.170921\pi\)
−0.859265 + 0.511531i \(0.829079\pi\)
\(458\) −6.39152e7 + 3.69015e7i −0.665285 + 0.384102i
\(459\) −1.18716e8 + 6.85406e7i −1.22764 + 0.708777i
\(460\) −9.73967e7 + 5.62320e7i −1.00062 + 0.577710i
\(461\) 7.38318e7 1.27880e8i 0.753600 1.30527i −0.192468 0.981303i \(-0.561649\pi\)
0.946067 0.323970i \(-0.105018\pi\)
\(462\) 1.67845e8i 1.70209i
\(463\) 1.58860e8 + 9.17178e7i 1.60056 + 0.924082i 0.991375 + 0.131052i \(0.0418355\pi\)
0.609182 + 0.793030i \(0.291498\pi\)
\(464\) −1.04581e8 + 6.03797e7i −1.04688 + 0.604418i
\(465\) 1.39085e8 1.38331
\(466\) 3.50353e7 + 6.06830e7i 0.346217 + 0.599666i
\(467\) −4.30641e7 2.48631e7i −0.422829 0.244121i 0.273458 0.961884i \(-0.411833\pi\)
−0.696287 + 0.717763i \(0.745166\pi\)
\(468\) 3.16740e6 5.48610e6i 0.0309005 0.0535212i
\(469\) 8.14001e7i 0.789053i
\(470\) 3.21084e6 5.56134e6i 0.0309261 0.0535656i
\(471\) 1.37982e7 0.132057
\(472\) 2.70759e7i 0.257487i
\(473\) 7.87483e7 5.97727e7i 0.744145 0.564832i
\(474\) −9.44122e7 −0.886530
\(475\) 1.99174e8i 1.85846i
\(476\) −1.39005e8 8.02548e7i −1.28887 0.744132i
\(477\) 1.06995e7 0.0985841
\(478\) 6.03459e7 + 3.48407e7i 0.552541 + 0.319009i
\(479\) −6.22899e7 + 1.07889e8i −0.566775 + 0.981684i 0.430107 + 0.902778i \(0.358476\pi\)
−0.996882 + 0.0789057i \(0.974857\pi\)
\(480\) −2.28662e8 + 1.32018e8i −2.06762 + 1.19374i
\(481\) 3.29079e7i 0.295709i
\(482\) −7.32119e7 1.26807e8i −0.653793 1.13240i
\(483\) −6.32137e7 + 1.09489e8i −0.561009 + 0.971696i
\(484\) 1.09979e7 0.0970000
\(485\) 1.02017e8 + 5.88996e7i 0.894227 + 0.516282i
\(486\) −8.74317e6 1.51436e7i −0.0761658 0.131923i
\(487\) −1.07519e8 1.86228e8i −0.930888 1.61235i −0.781806 0.623521i \(-0.785701\pi\)
−0.149082 0.988825i \(-0.547632\pi\)
\(488\) 1.19255e7 + 2.06556e7i 0.102617 + 0.177737i
\(489\) −1.14007e8 −0.975002
\(490\) 1.13043e8 + 1.95797e8i 0.960853 + 1.66425i
\(491\) 4.00306e7 2.31117e7i 0.338179 0.195248i −0.321287 0.946982i \(-0.604116\pi\)
0.659467 + 0.751734i \(0.270782\pi\)
\(492\) −5.19875e7 3.00150e7i −0.436519 0.252025i
\(493\) 1.55331e8 + 8.96804e7i 1.29634 + 0.748440i
\(494\) 1.72361e8 1.42974
\(495\) 1.20629e7i 0.0994574i
\(496\) 5.23035e7 9.05924e7i 0.428634 0.742415i
\(497\) 6.57072e7 1.13808e8i 0.535234 0.927052i
\(498\) −5.54681e7 9.60736e7i −0.449113 0.777886i
\(499\) 1.44137e8 8.32175e7i 1.16004 0.669750i 0.208728 0.977974i \(-0.433068\pi\)
0.951314 + 0.308224i \(0.0997345\pi\)
\(500\) 2.53483e8i 2.02787i
\(501\) 1.08674e8 6.27429e7i 0.864195 0.498943i
\(502\) −1.35128e8 + 7.80159e7i −1.06815 + 0.616698i
\(503\) −9.32579e7 + 5.38425e7i −0.732794 + 0.423079i −0.819443 0.573160i \(-0.805717\pi\)
0.0866497 + 0.996239i \(0.472384\pi\)
\(504\) −1.54717e6 + 2.67978e6i −0.0120850 + 0.0209318i
\(505\) 2.81429e8i 2.18522i
\(506\) −1.13773e8 6.56869e7i −0.878188 0.507022i
\(507\) 1.15010e8 6.64010e7i 0.882493 0.509507i
\(508\) 2.98805e7 0.227928
\(509\) −1.09435e8 1.89546e8i −0.829854 1.43735i −0.898152 0.439684i \(-0.855090\pi\)
0.0682984 0.997665i \(-0.478243\pi\)
\(510\) 4.25106e8 + 2.45435e8i 3.20470 + 1.85023i
\(511\) −1.56470e7 + 2.71013e7i −0.117265 + 0.203108i
\(512\) 1.48602e8i 1.10717i
\(513\) 4.99369e7 8.64933e7i 0.369887 0.640664i
\(514\) 3.18058e8 2.34216
\(515\) 1.16737e8i 0.854645i
\(516\) −1.06876e8 + 1.35012e7i −0.777916 + 0.0982702i
\(517\) 3.24531e6 0.0234846
\(518\) 5.16087e7i 0.371307i
\(519\) 1.24613e7 + 7.19451e6i 0.0891373 + 0.0514635i
\(520\) −1.15937e8 −0.824537
\(521\) 1.19911e8 + 6.92308e7i 0.847904 + 0.489537i 0.859943 0.510390i \(-0.170499\pi\)
−0.0120393 + 0.999928i \(0.503832\pi\)
\(522\) −5.55076e6 + 9.61421e6i −0.0390249 + 0.0675930i
\(523\) 9.36354e7 5.40604e7i 0.654538 0.377898i −0.135655 0.990756i \(-0.543314\pi\)
0.790193 + 0.612858i \(0.209980\pi\)
\(524\) 4.77261e7i 0.331713i
\(525\) −2.41769e8 4.18756e8i −1.67079 2.89390i
\(526\) −1.05315e8 + 1.82410e8i −0.723655 + 1.25341i
\(527\) −1.55370e8 −1.06154
\(528\) −1.44643e8 8.35098e7i −0.982645 0.567330i
\(529\) 2.45400e7 + 4.25045e7i 0.165770 + 0.287123i
\(530\) 3.14346e8 + 5.44463e8i 2.11145 + 3.65713i
\(531\) 3.51166e6 + 6.08237e6i 0.0234546 + 0.0406246i
\(532\) 1.16943e8 0.776676
\(533\) −6.86727e7 1.18945e8i −0.453526 0.785531i
\(534\) −2.72243e8 + 1.57179e8i −1.78785 + 1.03222i
\(535\) −1.91150e8 1.10360e8i −1.24828 0.720695i
\(536\) 2.48609e7 + 1.43534e7i 0.161444 + 0.0932099i
\(537\) −2.26571e8 −1.46312
\(538\) 2.39153e8i 1.53578i
\(539\) −5.71284e7 + 9.89494e7i −0.364826 + 0.631898i
\(540\) 1.07843e8 1.86789e8i 0.684872 1.18623i
\(541\) −1.51124e8 2.61754e8i −0.954424 1.65311i −0.735682 0.677327i \(-0.763138\pi\)
−0.218742 0.975783i \(-0.570195\pi\)
\(542\) −2.47448e8 + 1.42864e8i −1.55413 + 0.897275i
\(543\) 1.74761e8i 1.09155i
\(544\) 2.55436e8 1.47476e8i 1.58666 0.916061i
\(545\) 3.32541e8 1.91992e8i 2.05426 1.18603i
\(546\) 3.62382e8 2.09221e8i 2.22632 1.28537i
\(547\) −1.30824e8 + 2.26594e8i −0.799329 + 1.38448i 0.120725 + 0.992686i \(0.461478\pi\)
−0.920054 + 0.391792i \(0.871855\pi\)
\(548\) 4.55534e7i 0.276808i
\(549\) 5.35795e6 + 3.09341e6i 0.0323803 + 0.0186948i
\(550\) 4.35139e8 2.51228e8i 2.61541 1.51001i
\(551\) −1.30678e8 −0.781172
\(552\) −2.22932e7 3.86130e7i −0.132543 0.229571i
\(553\) −1.26923e8 7.32790e7i −0.750525 0.433316i
\(554\) 1.96196e8 3.39821e8i 1.15388 1.99858i
\(555\) 6.82812e7i 0.399413i
\(556\) 8.76916e6 1.51886e7i 0.0510192 0.0883678i
\(557\) −7.41453e6 −0.0429060 −0.0214530 0.999770i \(-0.506829\pi\)
−0.0214530 + 0.999770i \(0.506829\pi\)
\(558\) 9.61663e6i 0.0553503i
\(559\) −2.27212e8 9.55123e7i −1.30076 0.546794i
\(560\) −5.13029e8 −2.92131
\(561\) 2.48070e8i 1.40503i
\(562\) −3.13898e8 1.81229e8i −1.76840 1.02098i
\(563\) −2.72629e7 −0.152773 −0.0763866 0.997078i \(-0.524338\pi\)
−0.0763866 + 0.997078i \(0.524338\pi\)
\(564\) −3.06245e6 1.76810e6i −0.0170699 0.00985531i
\(565\) 2.23394e8 3.86930e8i 1.23859 2.14530i
\(566\) 1.62324e8 9.37180e7i 0.895229 0.516861i
\(567\) 2.56438e8i 1.40680i
\(568\) 2.31726e7 + 4.01361e7i 0.126453 + 0.219023i
\(569\) 1.32067e8 2.28747e8i 0.716900 1.24171i −0.245322 0.969442i \(-0.578894\pi\)
0.962222 0.272266i \(-0.0877731\pi\)
\(570\) −3.57636e8 −1.93115
\(571\) 5.40141e7 + 3.11851e7i 0.290134 + 0.167509i 0.638002 0.770034i \(-0.279761\pi\)
−0.347868 + 0.937543i \(0.613094\pi\)
\(572\) 9.40558e7 + 1.62909e8i 0.502571 + 0.870478i
\(573\) 8.13150e7 + 1.40842e8i 0.432222 + 0.748631i
\(574\) −1.07698e8 1.86538e8i −0.569471 0.986353i
\(575\) 3.78469e8 1.99080
\(576\) 2.64550e6 + 4.58215e6i 0.0138433 + 0.0239774i
\(577\) 2.86221e8 1.65250e8i 1.48996 0.860228i 0.490025 0.871708i \(-0.336988\pi\)
0.999934 + 0.0114803i \(0.00365437\pi\)
\(578\) −2.52868e8 1.45994e8i −1.30952 0.756050i
\(579\) 1.68553e8 + 9.73141e7i 0.868362 + 0.501349i
\(580\) −2.82209e8 −1.44639
\(581\) 1.72209e8i 0.878065i
\(582\) 7.49703e7 1.29852e8i 0.380295 0.658690i
\(583\) −1.58860e8 + 2.75154e8i −0.801694 + 1.38858i
\(584\) −5.51812e6 9.55767e6i −0.0277047 0.0479859i
\(585\) −2.60442e7 + 1.50366e7i −0.130090 + 0.0751074i
\(586\) 3.22466e8i 1.60247i
\(587\) −2.67326e8 + 1.54341e8i −1.32168 + 0.763072i −0.983997 0.178188i \(-0.942977\pi\)
−0.337683 + 0.941260i \(0.609643\pi\)
\(588\) 1.07819e8 6.22493e7i 0.530351 0.306198i
\(589\) 9.80330e7 5.65994e7i 0.479762 0.276991i
\(590\) −2.06342e8 + 3.57395e8i −1.00469 + 1.74017i
\(591\) 7.47970e6i 0.0362345i
\(592\) 4.44747e7 + 2.56775e7i 0.214362 + 0.123762i
\(593\) −3.47148e7 + 2.00426e7i −0.166475 + 0.0961147i −0.580923 0.813959i \(-0.697308\pi\)
0.414447 + 0.910073i \(0.363975\pi\)
\(594\) 2.51951e8 1.20214
\(595\) 3.80994e8 + 6.59901e8i 1.80870 + 3.13277i
\(596\) 1.17820e8 + 6.80231e7i 0.556517 + 0.321305i
\(597\) 7.77645e7 1.34692e8i 0.365475 0.633022i
\(598\) 3.27519e8i 1.53156i
\(599\) 1.68910e8 2.92561e8i 0.785914 1.36124i −0.142538 0.989789i \(-0.545526\pi\)
0.928452 0.371453i \(-0.121140\pi\)
\(600\) 1.70526e8 0.789474
\(601\) 1.40839e7i 0.0648781i −0.999474 0.0324390i \(-0.989673\pi\)
0.999474 0.0324390i \(-0.0103275\pi\)
\(602\) −3.56332e8 1.49790e8i −1.63330 0.686583i
\(603\) 7.44640e6 0.0339621
\(604\) 9.68319e7i 0.439448i
\(605\) −4.52154e7 2.61051e7i −0.204183 0.117885i
\(606\) 3.58217e8 1.60964
\(607\) 8.07861e7 + 4.66419e7i 0.361219 + 0.208550i 0.669615 0.742708i \(-0.266459\pi\)
−0.308396 + 0.951258i \(0.599792\pi\)
\(608\) −1.07447e8 + 1.86104e8i −0.478062 + 0.828028i
\(609\) −2.74744e8 + 1.58624e8i −1.21640 + 0.702289i
\(610\) 3.63532e8i 1.60160i
\(611\) −4.04533e6 7.00671e6i −0.0177350 0.0307178i
\(612\) 7.34163e6 1.27161e7i 0.0320286 0.0554752i
\(613\) −2.00134e8 −0.868839 −0.434420 0.900711i \(-0.643046\pi\)
−0.434420 + 0.900711i \(0.643046\pi\)
\(614\) −1.60147e8 9.24607e7i −0.691851 0.399440i
\(615\) 1.42490e8 + 2.46801e8i 0.612577 + 1.06101i
\(616\) −4.59431e7 7.95758e7i −0.196552 0.340439i
\(617\) −5.26606e7 9.12109e7i −0.224197 0.388321i 0.731881 0.681433i \(-0.238643\pi\)
−0.956078 + 0.293111i \(0.905309\pi\)
\(618\) 1.48588e8 0.629534
\(619\) −7.78463e7 1.34834e8i −0.328221 0.568495i 0.653938 0.756548i \(-0.273116\pi\)
−0.982159 + 0.188053i \(0.939782\pi\)
\(620\) 2.11710e8 1.22231e8i 0.888313 0.512868i
\(621\) 1.64354e8 + 9.48897e7i 0.686285 + 0.396227i
\(622\) −4.99977e7 2.88662e7i −0.207768 0.119955i
\(623\) −4.87985e8 −2.01810
\(624\) 4.16386e8i 1.71373i
\(625\) −3.04447e8 + 5.27317e8i −1.24701 + 2.15989i
\(626\) 6.57241e7 1.13837e8i 0.267918 0.464047i
\(627\) −9.03687e7 1.56523e8i −0.366619 0.635003i
\(628\) 2.10031e7 1.21262e7i 0.0848018 0.0489603i
\(629\) 7.62762e7i 0.306505i
\(630\) −4.08446e7 + 2.35816e7i −0.163348 + 0.0943088i
\(631\) −3.99382e8 + 2.30583e8i −1.58965 + 0.917783i −0.596283 + 0.802775i \(0.703356\pi\)
−0.993364 + 0.115009i \(0.963310\pi\)
\(632\) 4.47612e7 2.58429e7i 0.177317 0.102374i
\(633\) 1.05031e8 1.81920e8i 0.414103 0.717247i
\(634\) 1.96378e8i 0.770594i
\(635\) −1.22847e8 7.09260e7i −0.479783 0.277003i
\(636\) 2.99818e8 1.73100e8i 1.16543 0.672861i
\(637\) 2.84846e8 1.10203
\(638\) −1.64830e8 2.85493e8i −0.634707 1.09934i
\(639\) 1.04111e7 + 6.01083e6i 0.0399018 + 0.0230373i
\(640\) 1.48866e8 2.57844e8i 0.567879 0.983596i
\(641\) 1.84772e8i 0.701556i 0.936459 + 0.350778i \(0.114083\pi\)
−0.936459 + 0.350778i \(0.885917\pi\)
\(642\) −1.40472e8 + 2.43305e8i −0.530865 + 0.919486i
\(643\) 1.86614e7 0.0701956 0.0350978 0.999384i \(-0.488826\pi\)
0.0350978 + 0.999384i \(0.488826\pi\)
\(644\) 2.22214e8i 0.831983i
\(645\) 4.71447e8 + 1.98181e8i 1.75693 + 0.738553i
\(646\) 3.99511e8 1.48194
\(647\) 1.22172e8i 0.451085i 0.974233 + 0.225542i \(0.0724154\pi\)
−0.974233 + 0.225542i \(0.927585\pi\)
\(648\) 7.83203e7 + 4.52183e7i 0.287839 + 0.166184i
\(649\) −2.08557e8 −0.762940
\(650\) −1.08482e9 6.26319e8i −3.95017 2.28063i
\(651\) 1.37407e8 2.37995e8i 0.498041 0.862632i
\(652\) −1.73537e8 + 1.00192e8i −0.626110 + 0.361485i
\(653\) 1.64809e8i 0.591891i −0.955205 0.295945i \(-0.904365\pi\)
0.955205 0.295945i \(-0.0956346\pi\)
\(654\) −2.44377e8 4.23274e8i −0.873630 1.51317i
\(655\) 1.13285e8 1.96216e8i 0.403135 0.698249i
\(656\) 2.14337e8 0.759252
\(657\) −2.47920e6 1.43137e6i −0.00874211 0.00504726i
\(658\) −6.34420e6 1.09885e7i −0.0222689 0.0385709i
\(659\) 2.24976e8 + 3.89669e8i 0.786103 + 1.36157i 0.928338 + 0.371737i \(0.121238\pi\)
−0.142235 + 0.989833i \(0.545429\pi\)
\(660\) −1.95158e8 3.38024e8i −0.678821 1.17575i
\(661\) −1.02532e7 −0.0355022 −0.0177511 0.999842i \(-0.505651\pi\)
−0.0177511 + 0.999842i \(0.505651\pi\)
\(662\) 1.95005e8 + 3.37759e8i 0.672159 + 1.16421i
\(663\) 5.35590e8 3.09223e8i 1.83777 1.06104i
\(664\) 5.25953e7 + 3.03659e7i 0.179656 + 0.103725i
\(665\) −4.80787e8 2.77583e8i −1.63489 0.943903i
\(666\) 4.72111e6 0.0159817
\(667\) 2.48313e8i 0.836799i
\(668\) 1.10280e8 1.91010e8i 0.369969 0.640806i
\(669\) −1.48005e8 + 2.56352e8i −0.494309 + 0.856168i
\(670\) 2.18772e8 + 3.78924e8i 0.727390 + 1.25988i
\(671\) −1.59104e8 + 9.18586e7i −0.526639 + 0.304055i
\(672\) 5.21701e8i 1.71915i
\(673\) −4.40141e8 + 2.54116e8i −1.44393 + 0.833655i −0.998109 0.0614656i \(-0.980423\pi\)
−0.445824 + 0.895121i \(0.647089\pi\)
\(674\) 2.42615e8 1.40074e8i 0.792387 0.457485i
\(675\) −6.28591e8 + 3.62917e8i −2.04389 + 1.18004i
\(676\) 1.16709e8 2.02146e8i 0.377803 0.654374i
\(677\) 1.57455e8i 0.507446i −0.967277 0.253723i \(-0.918345\pi\)
0.967277 0.253723i \(-0.0816551\pi\)
\(678\) −4.92504e8 2.84347e8i −1.58023 0.912347i
\(679\) 2.01573e8 1.16378e8i 0.643905 0.371759i
\(680\) −2.68726e8 −0.854640
\(681\) 3.04781e7 + 5.27897e7i 0.0965043 + 0.167150i
\(682\) 2.47307e8 + 1.42783e8i 0.779620 + 0.450114i
\(683\) 1.83046e8 3.17045e8i 0.574511 0.995083i −0.421583 0.906790i \(-0.638525\pi\)
0.996095 0.0882930i \(-0.0281412\pi\)
\(684\) 1.06978e7i 0.0334294i
\(685\) −1.08128e8 + 1.87283e8i −0.336408 + 0.582676i
\(686\) −1.25250e8 −0.387976
\(687\) 1.92935e8i 0.595031i
\(688\) 3.06374e8 2.32549e8i 0.940778 0.714083i
\(689\) 7.92086e8 2.42167
\(690\) 6.79576e8i 2.06867i
\(691\) 1.00795e8 + 5.81940e7i 0.305495 + 0.176378i 0.644909 0.764259i \(-0.276895\pi\)
−0.339414 + 0.940637i \(0.610229\pi\)
\(692\) 2.52908e7 0.0763209
\(693\) −2.06415e7 1.19174e7i −0.0620214 0.0358081i
\(694\) −1.15373e7 + 1.99832e7i −0.0345164 + 0.0597841i
\(695\) −7.21051e7 + 4.16299e7i −0.214789 + 0.124008i
\(696\) 1.11882e8i 0.331842i
\(697\) −1.59175e8 2.75698e8i −0.470084 0.814209i
\(698\) −1.50113e8 + 2.60003e8i −0.441419 + 0.764561i
\(699\) −1.83178e8 −0.536342
\(700\) −7.36023e8 4.24943e8i −2.14584 1.23890i
\(701\) 3.14732e8 + 5.45131e8i 0.913664 + 1.58251i 0.808846 + 0.588020i \(0.200092\pi\)
0.104817 + 0.994491i \(0.466574\pi\)
\(702\) −3.14061e8 5.43969e8i −0.907825 1.57240i
\(703\) 2.77864e7 + 4.81275e7i 0.0799773 + 0.138525i
\(704\) −1.57116e8 −0.450301
\(705\) 8.39374e6 + 1.45384e7i 0.0239545 + 0.0414905i
\(706\) 4.03238e7 2.32810e7i 0.114590 0.0661587i
\(707\) 4.81568e8 + 2.78034e8i 1.36270 + 0.786754i
\(708\) 1.96806e8 + 1.13626e8i 0.554546 + 0.320167i
\(709\) 1.38083e8 0.387439 0.193719 0.981057i \(-0.437945\pi\)
0.193719 + 0.981057i \(0.437945\pi\)
\(710\) 7.06382e8i 1.97362i
\(711\) 6.70350e6 1.16108e7i 0.0186506 0.0323038i
\(712\) 8.60475e7 1.49039e8i 0.238396 0.412913i
\(713\) 1.07550e8 + 1.86281e8i 0.296715 + 0.513926i
\(714\) 8.39955e8 4.84948e8i 2.30760 1.33230i
\(715\) 8.93024e8i 2.44312i
\(716\) −3.44878e8 + 1.99115e8i −0.939564 + 0.542458i
\(717\) −1.57756e8 + 9.10802e7i −0.427984 + 0.247096i
\(718\) 6.36037e8 3.67216e8i 1.71834 0.992084i
\(719\) −1.63429e8 + 2.83067e8i −0.439685 + 0.761557i −0.997665 0.0682974i \(-0.978243\pi\)
0.557980 + 0.829855i \(0.311577\pi\)
\(720\) 4.69314e7i 0.125738i
\(721\) 1.99755e8 + 1.15328e8i 0.532955 + 0.307702i
\(722\) 1.80643e8 1.04295e8i 0.479966 0.277109i
\(723\) 3.82779e8 1.01282
\(724\) 1.53584e8 + 2.66015e8i 0.404696 + 0.700955i
\(725\) 8.22466e8 + 4.74851e8i 2.15826 + 1.24607i
\(726\) −3.32279e7 + 5.75523e7i −0.0868345 + 0.150402i
\(727\) 3.34256e8i 0.869913i 0.900451 + 0.434956i \(0.143236\pi\)
−0.900451 + 0.434956i \(0.856764\pi\)
\(728\) −1.14538e8 + 1.98385e8i −0.296862 + 0.514180i
\(729\) −3.62683e8 −0.936150
\(730\) 1.68212e8i 0.432403i
\(731\) −5.26649e8 2.21385e8i −1.34824 0.566757i
\(732\) 2.00185e8 0.510386
\(733\) 6.64868e7i 0.168820i −0.996431 0.0844099i \(-0.973099\pi\)
0.996431 0.0844099i \(-0.0269005\pi\)
\(734\) −4.99067e8 2.88136e8i −1.26203 0.728635i
\(735\) −5.91033e8 −1.48850
\(736\) −3.53633e8 2.04170e8i −0.886991 0.512105i
\(737\) −1.10560e8 + 1.91496e8i −0.276183 + 0.478362i
\(738\) 1.70643e7 9.85210e6i 0.0424542 0.0245109i
\(739\) 4.85550e8i 1.20310i 0.798836 + 0.601548i \(0.205449\pi\)
−0.798836 + 0.601548i \(0.794551\pi\)
\(740\) 6.00070e7 + 1.03935e8i 0.148084 + 0.256488i
\(741\) −2.25292e8 + 3.90217e8i −0.553721 + 0.959074i
\(742\) 1.24221e9 3.04077
\(743\) 6.39195e8 + 3.69039e8i 1.55836 + 0.899717i 0.997415 + 0.0718622i \(0.0228942\pi\)
0.560942 + 0.827855i \(0.310439\pi\)
\(744\) 4.84584e7 + 8.39325e7i 0.117666 + 0.203803i
\(745\) −3.22927e8 5.59326e8i −0.780972 1.35268i
\(746\) −4.83683e7 8.37764e7i −0.116505 0.201793i
\(747\) 1.57535e7 0.0377933
\(748\) 2.18009e8 + 3.77603e8i 0.520919 + 0.902258i
\(749\) −3.77687e8 + 2.18057e8i −0.898848 + 0.518950i
\(750\) 1.32649e9 + 7.65850e8i 3.14427 + 1.81535i
\(751\) −7.32526e8 4.22924e8i −1.72943 0.998488i −0.892201 0.451639i \(-0.850840\pi\)
−0.837231 0.546849i \(-0.815827\pi\)
\(752\) 1.26260e7 0.0296902
\(753\) 4.07897e8i 0.955356i
\(754\) −4.10926e8 + 7.11744e8i −0.958626 + 1.66039i
\(755\) 2.29846e8 3.98104e8i 0.534066 0.925030i
\(756\) −2.13083e8 3.69071e8i −0.493155 0.854170i
\(757\) 4.45259e8 2.57071e8i 1.02642 0.592604i 0.110464 0.993880i \(-0.464766\pi\)
0.915957 + 0.401276i \(0.131433\pi\)
\(758\) 7.15947e8i 1.64389i
\(759\) 2.97424e8 1.71718e8i 0.680222 0.392726i
\(760\) 1.69556e8 9.78935e7i 0.386254 0.223004i
\(761\) 3.78254e8 2.18385e8i 0.858280 0.495528i −0.00515593 0.999987i \(-0.501641\pi\)
0.863436 + 0.504459i \(0.168308\pi\)
\(762\) −9.02781e7 + 1.56366e8i −0.204041 + 0.353409i
\(763\) 7.58704e8i 1.70804i
\(764\) 2.47550e8 + 1.42923e8i 0.555114 + 0.320495i