Properties

Label 43.7.d.a.7.11
Level 43
Weight 7
Character 43.7
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 7.11
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.11

$q$-expansion

\(f(q)\) \(=\) \(q+1.51738i q^{2} +(20.0424 - 11.5715i) q^{3} +61.6975 q^{4} +(211.318 - 122.005i) q^{5} +(17.5584 + 30.4120i) q^{6} +(-447.414 - 258.315i) q^{7} +190.731i q^{8} +(-96.7022 + 167.493i) q^{9} +O(q^{10})\) \(q+1.51738i q^{2} +(20.0424 - 11.5715i) q^{3} +61.6975 q^{4} +(211.318 - 122.005i) q^{5} +(17.5584 + 30.4120i) q^{6} +(-447.414 - 258.315i) q^{7} +190.731i q^{8} +(-96.7022 + 167.493i) q^{9} +(185.128 + 320.651i) q^{10} -593.709 q^{11} +(1236.57 - 713.931i) q^{12} +(651.631 - 1128.66i) q^{13} +(391.963 - 678.899i) q^{14} +(2823.55 - 4890.52i) q^{15} +3659.23 q^{16} +(-1539.71 + 2666.85i) q^{17} +(-254.151 - 146.734i) q^{18} +(-3288.36 + 1898.54i) q^{19} +(13037.8 - 7527.39i) q^{20} -11956.3 q^{21} -900.885i q^{22} +(8014.01 + 13880.7i) q^{23} +(2207.04 + 3822.71i) q^{24} +(21957.8 - 38031.9i) q^{25} +(1712.61 + 988.775i) q^{26} +21347.1i q^{27} +(-27604.4 - 15937.4i) q^{28} +(4728.25 + 2729.85i) q^{29} +(7420.80 + 4284.40i) q^{30} +(7584.14 + 13136.1i) q^{31} +17759.3i q^{32} +(-11899.3 + 6870.09i) q^{33} +(-4046.63 - 2336.33i) q^{34} -126062. q^{35} +(-5966.29 + 10333.9i) q^{36} +(2862.28 - 1652.54i) q^{37} +(-2880.81 - 4989.71i) q^{38} -30161.3i q^{39} +(23270.1 + 40305.0i) q^{40} +85357.9 q^{41} -18142.3i q^{42} +(-57085.9 + 55340.4i) q^{43} -36630.4 q^{44} +47192.4i q^{45} +(-21062.3 + 12160.3i) q^{46} -22536.9 q^{47} +(73339.7 - 42342.7i) q^{48} +(74628.6 + 129261. i) q^{49} +(57709.1 + 33318.3i) q^{50} +71266.6i q^{51} +(40204.0 - 69635.4i) q^{52} +(-128928. - 223309. i) q^{53} -32391.8 q^{54} +(-125462. + 72435.3i) q^{55} +(49268.8 - 85336.0i) q^{56} +(-43937.7 + 76102.4i) q^{57} +(-4142.24 + 7174.57i) q^{58} -107781. q^{59} +(174206. - 301733. i) q^{60} +(-19167.1 - 11066.2i) q^{61} +(-19932.5 + 11508.0i) q^{62} +(86531.9 - 49959.2i) q^{63} +207243. q^{64} -318008. i q^{65} +(-10424.6 - 18055.9i) q^{66} +(230542. + 399311. i) q^{67} +(-94996.1 + 164538. i) q^{68} +(321240. + 185468. i) q^{69} -191285. i q^{70} +(346473. + 200037. i) q^{71} +(-31946.2 - 18444.1i) q^{72} +(-467725. - 270041. i) q^{73} +(2507.54 + 4343.18i) q^{74} -1.01633e6i q^{75} +(-202884. + 117135. i) q^{76} +(265634. + 153364. i) q^{77} +45766.3 q^{78} +(-244212. + 422987. i) q^{79} +(773262. - 446443. i) q^{80} +(176522. + 305745. i) q^{81} +129521. i q^{82} +(-360109. - 623728. i) q^{83} -737676. q^{84} +751405. i q^{85} +(-83972.6 - 86621.3i) q^{86} +126354. q^{87} -113239. i q^{88} +(-61258.8 + 35367.8i) q^{89} -71609.1 q^{90} +(-583098. + 336652. i) q^{91} +(494445. + 856404. i) q^{92} +(304008. + 175519. i) q^{93} -34197.1i q^{94} +(-463261. + 802391. i) q^{95} +(205501. + 355938. i) q^{96} -1.36624e6 q^{97} +(-196138. + 113240. i) q^{98} +(57413.0 - 99442.2i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.51738i 0.189673i 0.995493 + 0.0948365i \(0.0302328\pi\)
−0.995493 + 0.0948365i \(0.969767\pi\)
\(3\) 20.0424 11.5715i 0.742310 0.428573i −0.0805985 0.996747i \(-0.525683\pi\)
0.822909 + 0.568174i \(0.192350\pi\)
\(4\) 61.6975 0.964024
\(5\) 211.318 122.005i 1.69055 0.976037i 0.736470 0.676470i \(-0.236491\pi\)
0.954075 0.299567i \(-0.0968422\pi\)
\(6\) 17.5584 + 30.4120i 0.0812887 + 0.140796i
\(7\) −447.414 258.315i −1.30442 0.753105i −0.323257 0.946311i \(-0.604778\pi\)
−0.981158 + 0.193207i \(0.938111\pi\)
\(8\) 190.731i 0.372522i
\(9\) −96.7022 + 167.493i −0.132650 + 0.229757i
\(10\) 185.128 + 320.651i 0.185128 + 0.320651i
\(11\) −593.709 −0.446063 −0.223031 0.974811i \(-0.571595\pi\)
−0.223031 + 0.974811i \(0.571595\pi\)
\(12\) 1236.57 713.931i 0.715605 0.413155i
\(13\) 651.631 1128.66i 0.296600 0.513727i −0.678755 0.734364i \(-0.737480\pi\)
0.975356 + 0.220637i \(0.0708137\pi\)
\(14\) 391.963 678.899i 0.142844 0.247412i
\(15\) 2823.55 4890.52i 0.836606 1.44904i
\(16\) 3659.23 0.893367
\(17\) −1539.71 + 2666.85i −0.313394 + 0.542815i −0.979095 0.203404i \(-0.934799\pi\)
0.665701 + 0.746219i \(0.268133\pi\)
\(18\) −254.151 146.734i −0.0435788 0.0251602i
\(19\) −3288.36 + 1898.54i −0.479423 + 0.276795i −0.720176 0.693791i \(-0.755939\pi\)
0.240753 + 0.970586i \(0.422606\pi\)
\(20\) 13037.8 7527.39i 1.62973 0.940923i
\(21\) −11956.3 −1.29104
\(22\) 900.885i 0.0846060i
\(23\) 8014.01 + 13880.7i 0.658668 + 1.14085i 0.980961 + 0.194206i \(0.0622132\pi\)
−0.322293 + 0.946640i \(0.604453\pi\)
\(24\) 2207.04 + 3822.71i 0.159653 + 0.276527i
\(25\) 21957.8 38031.9i 1.40530 2.43404i
\(26\) 1712.61 + 988.775i 0.0974401 + 0.0562571i
\(27\) 21347.1i 1.08455i
\(28\) −27604.4 15937.4i −1.25749 0.726011i
\(29\) 4728.25 + 2729.85i 0.193868 + 0.111930i 0.593792 0.804619i \(-0.297630\pi\)
−0.399924 + 0.916548i \(0.630964\pi\)
\(30\) 7420.80 + 4284.40i 0.274845 + 0.158682i
\(31\) 7584.14 + 13136.1i 0.254578 + 0.440942i 0.964781 0.263055i \(-0.0847301\pi\)
−0.710203 + 0.703997i \(0.751397\pi\)
\(32\) 17759.3i 0.541970i
\(33\) −11899.3 + 6870.09i −0.331117 + 0.191170i
\(34\) −4046.63 2336.33i −0.102957 0.0594424i
\(35\) −126062. −2.94023
\(36\) −5966.29 + 10333.9i −0.127878 + 0.221492i
\(37\) 2862.28 1652.54i 0.0565077 0.0326247i −0.471480 0.881877i \(-0.656280\pi\)
0.527988 + 0.849252i \(0.322947\pi\)
\(38\) −2880.81 4989.71i −0.0525006 0.0909336i
\(39\) 30161.3i 0.508460i
\(40\) 23270.1 + 40305.0i 0.363596 + 0.629766i
\(41\) 85357.9 1.23849 0.619244 0.785198i \(-0.287439\pi\)
0.619244 + 0.785198i \(0.287439\pi\)
\(42\) 18142.3i 0.244876i
\(43\) −57085.9 + 55340.4i −0.717999 + 0.696044i
\(44\) −36630.4 −0.430015
\(45\) 47192.4i 0.517887i
\(46\) −21062.3 + 12160.3i −0.216388 + 0.124932i
\(47\) −22536.9 −0.217070 −0.108535 0.994093i \(-0.534616\pi\)
−0.108535 + 0.994093i \(0.534616\pi\)
\(48\) 73339.7 42342.7i 0.663155 0.382873i
\(49\) 74628.6 + 129261.i 0.634333 + 1.09870i
\(50\) 57709.1 + 33318.3i 0.461672 + 0.266547i
\(51\) 71266.6i 0.537249i
\(52\) 40204.0 69635.4i 0.285930 0.495245i
\(53\) −128928. 223309.i −0.866001 1.49996i −0.866049 0.499959i \(-0.833349\pi\)
4.78358e−5 1.00000i \(-0.499985\pi\)
\(54\) −32391.8 −0.205709
\(55\) −125462. + 72435.3i −0.754089 + 0.435374i
\(56\) 49268.8 85336.0i 0.280548 0.485924i
\(57\) −43937.7 + 76102.4i −0.237254 + 0.410936i
\(58\) −4142.24 + 7174.57i −0.0212300 + 0.0367715i
\(59\) −107781. −0.524793 −0.262396 0.964960i \(-0.584513\pi\)
−0.262396 + 0.964960i \(0.584513\pi\)
\(60\) 174206. 301733.i 0.806508 1.39691i
\(61\) −19167.1 11066.2i −0.0844438 0.0487537i 0.457184 0.889372i \(-0.348858\pi\)
−0.541627 + 0.840619i \(0.682192\pi\)
\(62\) −19932.5 + 11508.0i −0.0836348 + 0.0482866i
\(63\) 86531.9 49959.2i 0.346063 0.199799i
\(64\) 207243. 0.790570
\(65\) 318008.i 1.15797i
\(66\) −10424.6 18055.9i −0.0362599 0.0628039i
\(67\) 230542. + 399311.i 0.766525 + 1.32766i 0.939436 + 0.342723i \(0.111349\pi\)
−0.172911 + 0.984937i \(0.555317\pi\)
\(68\) −94996.1 + 164538.i −0.302120 + 0.523287i
\(69\) 321240. + 185468.i 0.977872 + 0.564575i
\(70\) 191285.i 0.557682i
\(71\) 346473. + 200037.i 0.968044 + 0.558900i 0.898639 0.438688i \(-0.144557\pi\)
0.0694044 + 0.997589i \(0.477890\pi\)
\(72\) −31946.2 18444.1i −0.0855897 0.0494152i
\(73\) −467725. 270041.i −1.20233 0.694163i −0.241254 0.970462i \(-0.577559\pi\)
−0.961072 + 0.276299i \(0.910892\pi\)
\(74\) 2507.54 + 4343.18i 0.00618803 + 0.0107180i
\(75\) 1.01633e6i 2.40909i
\(76\) −202884. + 117135.i −0.462176 + 0.266837i
\(77\) 265634. + 153364.i 0.581851 + 0.335932i
\(78\) 45766.3 0.0964411
\(79\) −244212. + 422987.i −0.495319 + 0.857918i −0.999985 0.00539663i \(-0.998282\pi\)
0.504666 + 0.863314i \(0.331616\pi\)
\(80\) 773262. 446443.i 1.51028 0.871959i
\(81\) 176522. + 305745.i 0.332157 + 0.575313i
\(82\) 129521.i 0.234908i
\(83\) −360109. 623728.i −0.629796 1.09084i −0.987592 0.157039i \(-0.949805\pi\)
0.357796 0.933800i \(-0.383528\pi\)
\(84\) −737676. −1.24459
\(85\) 751405.i 1.22354i
\(86\) −83972.6 86621.3i −0.132021 0.136185i
\(87\) 126354. 0.191880
\(88\) 113239.i 0.166168i
\(89\) −61258.8 + 35367.8i −0.0868957 + 0.0501693i −0.542818 0.839850i \(-0.682643\pi\)
0.455923 + 0.890019i \(0.349309\pi\)
\(90\) −71609.1 −0.0982292
\(91\) −583098. + 336652.i −0.773780 + 0.446742i
\(92\) 494445. + 856404.i 0.634972 + 1.09980i
\(93\) 304008. + 175519.i 0.377952 + 0.218211i
\(94\) 34197.1i 0.0411724i
\(95\) −463261. + 802391.i −0.540325 + 0.935870i
\(96\) 205501. + 355938.i 0.232274 + 0.402310i
\(97\) −1.36624e6 −1.49697 −0.748483 0.663154i \(-0.769217\pi\)
−0.748483 + 0.663154i \(0.769217\pi\)
\(98\) −196138. + 113240.i −0.208393 + 0.120316i
\(99\) 57413.0 99442.2i 0.0591704 0.102486i
\(100\) 1.35474e6 2.34648e6i 1.35474 2.34648i
\(101\) −371051. + 642679.i −0.360138 + 0.623778i −0.987983 0.154560i \(-0.950604\pi\)
0.627845 + 0.778338i \(0.283937\pi\)
\(102\) −108139. −0.101902
\(103\) 434736. 752985.i 0.397845 0.689088i −0.595615 0.803270i \(-0.703091\pi\)
0.993460 + 0.114182i \(0.0364247\pi\)
\(104\) 215271. + 124287.i 0.191375 + 0.110490i
\(105\) −2.52659e6 + 1.45873e6i −2.18256 + 1.26010i
\(106\) 338846. 195633.i 0.284502 0.164257i
\(107\) −1.59299e6 −1.30035 −0.650175 0.759784i \(-0.725305\pi\)
−0.650175 + 0.759784i \(0.725305\pi\)
\(108\) 1.31707e6i 1.04553i
\(109\) 615228. + 1.06561e6i 0.475069 + 0.822843i 0.999592 0.0285526i \(-0.00908982\pi\)
−0.524523 + 0.851396i \(0.675756\pi\)
\(110\) −109912. 190373.i −0.0825786 0.143030i
\(111\) 38244.6 66241.6i 0.0279641 0.0484353i
\(112\) −1.63719e6 945234.i −1.16532 0.672799i
\(113\) 1.79572e6i 1.24453i −0.782808 0.622263i \(-0.786213\pi\)
0.782808 0.622263i \(-0.213787\pi\)
\(114\) −115477. 66670.4i −0.0779434 0.0450006i
\(115\) 3.38701e6 + 1.95549e6i 2.22702 + 1.28577i
\(116\) 291721. + 168425.i 0.186893 + 0.107903i
\(117\) 126028. + 218287.i 0.0786884 + 0.136292i
\(118\) 163546.i 0.0995390i
\(119\) 1.37777e6 795458.i 0.817593 0.472037i
\(120\) 932777. + 538539.i 0.539801 + 0.311654i
\(121\) −1.41907e6 −0.801028
\(122\) 16791.6 29083.9i 0.00924725 0.0160167i
\(123\) 1.71077e6 987716.i 0.919343 0.530783i
\(124\) 467923. + 810466.i 0.245419 + 0.425079i
\(125\) 6.90314e6i 3.53441i
\(126\) 75807.3 + 131302.i 0.0378965 + 0.0656387i
\(127\) 729609. 0.356188 0.178094 0.984013i \(-0.443007\pi\)
0.178094 + 0.984013i \(0.443007\pi\)
\(128\) 1.45106e6i 0.691920i
\(129\) −503768. + 1.76972e6i −0.234672 + 0.824396i
\(130\) 482540. 0.219636
\(131\) 3.33948e6i 1.48547i −0.669584 0.742737i \(-0.733527\pi\)
0.669584 0.742737i \(-0.266473\pi\)
\(132\) −734160. + 423868.i −0.319205 + 0.184293i
\(133\) 1.96168e6 0.833823
\(134\) −605908. + 349821.i −0.251821 + 0.145389i
\(135\) 2.60445e6 + 4.51104e6i 1.05856 + 1.83348i
\(136\) −508652. 293670.i −0.202211 0.116746i
\(137\) 612991.i 0.238392i 0.992871 + 0.119196i \(0.0380317\pi\)
−0.992871 + 0.119196i \(0.961968\pi\)
\(138\) −281426. + 487444.i −0.107085 + 0.185476i
\(139\) −1.82930e6 3.16845e6i −0.681148 1.17978i −0.974631 0.223818i \(-0.928148\pi\)
0.293483 0.955964i \(-0.405186\pi\)
\(140\) −7.77774e6 −2.83445
\(141\) −451693. + 260785.i −0.161134 + 0.0930305i
\(142\) −303532. + 525733.i −0.106008 + 0.183612i
\(143\) −386879. + 670095.i −0.132302 + 0.229154i
\(144\) −353856. + 612896.i −0.118505 + 0.205258i
\(145\) 1.33222e6 0.436990
\(146\) 409756. 709719.i 0.131664 0.228049i
\(147\) 2.99147e6 + 1.72713e6i 0.941744 + 0.543716i
\(148\) 176596. 101958.i 0.0544748 0.0314510i
\(149\) 5.56042e6 3.21031e6i 1.68093 0.970483i 0.719877 0.694101i \(-0.244198\pi\)
0.961048 0.276382i \(-0.0891354\pi\)
\(150\) 1.54217e6 0.456939
\(151\) 1.00573e6i 0.292113i −0.989276 0.146056i \(-0.953342\pi\)
0.989276 0.146056i \(-0.0466581\pi\)
\(152\) −362111. 627194.i −0.103112 0.178596i
\(153\) −297786. 515780.i −0.0831438 0.144009i
\(154\) −232712. + 403069.i −0.0637172 + 0.110361i
\(155\) 3.20533e6 + 1.85060e6i 0.860752 + 0.496955i
\(156\) 1.86088e6i 0.490167i
\(157\) 1.25893e6 + 726845.i 0.325315 + 0.187821i 0.653759 0.756703i \(-0.273191\pi\)
−0.328444 + 0.944523i \(0.606524\pi\)
\(158\) −641834. 370563.i −0.162724 0.0939487i
\(159\) −5.16803e6 2.98377e6i −1.28568 0.742290i
\(160\) 2.16671e6 + 3.75286e6i 0.528983 + 0.916225i
\(161\) 8.28056e6i 1.98418i
\(162\) −463933. + 267852.i −0.109121 + 0.0630013i
\(163\) 3.48059e6 + 2.00952e6i 0.803692 + 0.464012i 0.844761 0.535144i \(-0.179743\pi\)
−0.0410684 + 0.999156i \(0.513076\pi\)
\(164\) 5.26637e6 1.19393
\(165\) −1.67637e6 + 2.90355e6i −0.373179 + 0.646364i
\(166\) 946434. 546424.i 0.206903 0.119455i
\(167\) 385714. + 668076.i 0.0828163 + 0.143442i 0.904459 0.426561i \(-0.140275\pi\)
−0.821642 + 0.570003i \(0.806942\pi\)
\(168\) 2.28045e6i 0.480942i
\(169\) 1.56416e6 + 2.70920e6i 0.324056 + 0.561282i
\(170\) −1.14017e6 −0.232072
\(171\) 734371.i 0.146868i
\(172\) −3.52206e6 + 3.41437e6i −0.692168 + 0.671004i
\(173\) −2.99344e6 −0.578140 −0.289070 0.957308i \(-0.593346\pi\)
−0.289070 + 0.957308i \(0.593346\pi\)
\(174\) 191727.i 0.0363945i
\(175\) −1.96484e7 + 1.13440e7i −3.66618 + 2.11667i
\(176\) −2.17252e6 −0.398497
\(177\) −2.16020e6 + 1.24719e6i −0.389559 + 0.224912i
\(178\) −53666.5 92953.1i −0.00951575 0.0164818i
\(179\) −2.93740e6 1.69591e6i −0.512158 0.295695i 0.221562 0.975146i \(-0.428884\pi\)
−0.733720 + 0.679452i \(0.762218\pi\)
\(180\) 2.91166e6i 0.499255i
\(181\) −3.77377e6 + 6.53636e6i −0.636414 + 1.10230i 0.349800 + 0.936824i \(0.386249\pi\)
−0.986214 + 0.165476i \(0.947084\pi\)
\(182\) −510830. 884784.i −0.0847349 0.146765i
\(183\) −512207. −0.0835780
\(184\) −2.64748e6 + 1.52852e6i −0.424991 + 0.245369i
\(185\) 403235. 698424.i 0.0636859 0.110307i
\(186\) −266330. + 461297.i −0.0413887 + 0.0716873i
\(187\) 914138. 1.58333e6i 0.139793 0.242129i
\(188\) −1.39047e6 −0.209261
\(189\) 5.51429e6 9.55102e6i 0.816778 1.41470i
\(190\) −1.21754e6 702944.i −0.177509 0.102485i
\(191\) −6.30231e6 + 3.63864e6i −0.904482 + 0.522203i −0.878652 0.477463i \(-0.841556\pi\)
−0.0258303 + 0.999666i \(0.508223\pi\)
\(192\) 4.15364e6 2.39811e6i 0.586848 0.338817i
\(193\) 8.26490e6 1.14965 0.574825 0.818277i \(-0.305070\pi\)
0.574825 + 0.818277i \(0.305070\pi\)
\(194\) 2.07311e6i 0.283934i
\(195\) −3.67982e6 6.37364e6i −0.496275 0.859574i
\(196\) 4.60440e6 + 7.97506e6i 0.611512 + 1.05917i
\(197\) 1.37000e6 2.37291e6i 0.179193 0.310372i −0.762411 0.647093i \(-0.775985\pi\)
0.941604 + 0.336721i \(0.109318\pi\)
\(198\) 150892. + 87117.5i 0.0194389 + 0.0112230i
\(199\) 2.84120e6i 0.360531i −0.983618 0.180266i \(-0.942304\pi\)
0.983618 0.180266i \(-0.0576957\pi\)
\(200\) 7.25389e6 + 4.18803e6i 0.906736 + 0.523504i
\(201\) 9.24124e6 + 5.33543e6i 1.13800 + 0.657024i
\(202\) −975191. 563027.i −0.118314 0.0683085i
\(203\) −1.41032e6 2.44275e6i −0.168590 0.292006i
\(204\) 4.39698e6i 0.517921i
\(205\) 1.80377e7 1.04141e7i 2.09372 1.20881i
\(206\) 1.14257e6 + 659662.i 0.130701 + 0.0754605i
\(207\) −3.09989e6 −0.349490
\(208\) 2.38447e6 4.13002e6i 0.264973 0.458947i
\(209\) 1.95233e6 1.12718e6i 0.213853 0.123468i
\(210\) −2.21345e6 3.83381e6i −0.239008 0.413973i
\(211\) 1.50202e7i 1.59893i 0.600713 + 0.799464i \(0.294883\pi\)
−0.600713 + 0.799464i \(0.705117\pi\)
\(212\) −7.95452e6 1.37776e7i −0.834846 1.44600i
\(213\) 9.25887e6 0.958118
\(214\) 2.41717e6i 0.246641i
\(215\) −5.31151e6 + 1.86592e7i −0.534444 + 1.87749i
\(216\) −4.07157e6 −0.404018
\(217\) 7.83638e6i 0.766896i
\(218\) −1.61693e6 + 933537.i −0.156071 + 0.0901077i
\(219\) −1.24991e7 −1.19000
\(220\) −7.74067e6 + 4.46908e6i −0.726960 + 0.419711i
\(221\) 2.00664e6 + 3.47560e6i 0.185906 + 0.321998i
\(222\) 100514. + 58031.8i 0.00918687 + 0.00530404i
\(223\) 1.99339e7i 1.79754i −0.438423 0.898769i \(-0.644463\pi\)
0.438423 0.898769i \(-0.355537\pi\)
\(224\) 4.58748e6 7.94575e6i 0.408160 0.706954i
\(225\) 4.24672e6 + 7.35554e6i 0.372826 + 0.645754i
\(226\) 2.72480e6 0.236053
\(227\) 1.06394e7 6.14269e6i 0.909581 0.525147i 0.0292848 0.999571i \(-0.490677\pi\)
0.880296 + 0.474424i \(0.157344\pi\)
\(228\) −2.71085e6 + 4.69533e6i −0.228718 + 0.396152i
\(229\) 6.78715e6 1.17557e7i 0.565173 0.978908i −0.431861 0.901940i \(-0.642143\pi\)
0.997034 0.0769676i \(-0.0245238\pi\)
\(230\) −2.96723e6 + 5.13940e6i −0.243876 + 0.422405i
\(231\) 7.09858e6 0.575885
\(232\) −520669. + 901825.i −0.0416963 + 0.0722202i
\(233\) −1.21498e7 7.01467e6i −0.960506 0.554549i −0.0641776 0.997938i \(-0.520442\pi\)
−0.896329 + 0.443390i \(0.853776\pi\)
\(234\) −331226. + 191233.i −0.0258510 + 0.0149251i
\(235\) −4.76246e6 + 2.74960e6i −0.366967 + 0.211869i
\(236\) −6.64985e6 −0.505913
\(237\) 1.13036e7i 0.849121i
\(238\) 1.20702e6 + 2.09061e6i 0.0895327 + 0.155075i
\(239\) −2.19866e6 3.80820e6i −0.161052 0.278950i 0.774194 0.632948i \(-0.218155\pi\)
−0.935246 + 0.353998i \(0.884822\pi\)
\(240\) 1.03320e7 1.78956e7i 0.747396 1.29453i
\(241\) 238135. + 137488.i 0.0170127 + 0.00982228i 0.508482 0.861072i \(-0.330207\pi\)
−0.491470 + 0.870895i \(0.663540\pi\)
\(242\) 2.15327e6i 0.151933i
\(243\) −6.40131e6 3.69580e6i −0.446118 0.257566i
\(244\) −1.18257e6 682755.i −0.0814059 0.0469997i
\(245\) 3.15408e7 + 1.82101e7i 2.14474 + 1.23826i
\(246\) 1.49874e6 + 2.59590e6i 0.100675 + 0.174374i
\(247\) 4.94859e6i 0.328390i
\(248\) −2.50547e6 + 1.44653e6i −0.164261 + 0.0948360i
\(249\) −1.44349e7 8.33399e6i −0.935008 0.539827i
\(250\) 1.04747e7 0.670382
\(251\) 4.31496e6 7.47373e6i 0.272870 0.472624i −0.696726 0.717338i \(-0.745361\pi\)
0.969595 + 0.244713i \(0.0786938\pi\)
\(252\) 5.33881e6 3.08236e6i 0.333613 0.192611i
\(253\) −4.75799e6 8.24109e6i −0.293807 0.508889i
\(254\) 1.10710e6i 0.0675592i
\(255\) 8.69486e6 + 1.50599e7i 0.524375 + 0.908244i
\(256\) 1.10617e7 0.659331
\(257\) 1.42453e7i 0.839213i 0.907706 + 0.419607i \(0.137832\pi\)
−0.907706 + 0.419607i \(0.862168\pi\)
\(258\) −2.68535e6 764409.i −0.156366 0.0445109i
\(259\) −1.70750e6 −0.0982793
\(260\) 1.96203e7i 1.11631i
\(261\) −914464. + 527966.i −0.0514334 + 0.0296951i
\(262\) 5.06727e6 0.281754
\(263\) −8.25963e6 + 4.76870e6i −0.454039 + 0.262140i −0.709534 0.704671i \(-0.751095\pi\)
0.255496 + 0.966810i \(0.417761\pi\)
\(264\) −1.31034e6 2.26958e6i −0.0712152 0.123348i
\(265\) −5.44895e7 3.14595e7i −2.92803 1.69050i
\(266\) 2.97662e6i 0.158154i
\(267\) −818514. + 1.41771e6i −0.0430024 + 0.0744823i
\(268\) 1.42239e7 + 2.46365e7i 0.738949 + 1.27990i
\(269\) −1.66280e7 −0.854249 −0.427125 0.904193i \(-0.640473\pi\)
−0.427125 + 0.904193i \(0.640473\pi\)
\(270\) −6.84498e6 + 3.95195e6i −0.347761 + 0.200780i
\(271\) −1.07226e7 + 1.85721e7i −0.538756 + 0.933152i 0.460216 + 0.887807i \(0.347772\pi\)
−0.998971 + 0.0453452i \(0.985561\pi\)
\(272\) −5.63414e6 + 9.75861e6i −0.279976 + 0.484933i
\(273\) −7.79112e6 + 1.34946e7i −0.382923 + 0.663243i
\(274\) −930142. −0.0452166
\(275\) −1.30365e7 + 2.25799e7i −0.626850 + 1.08574i
\(276\) 1.98197e7 + 1.14429e7i 0.942692 + 0.544264i
\(277\) 3.54557e7 2.04703e7i 1.66819 0.963132i 0.699582 0.714552i \(-0.253370\pi\)
0.968611 0.248580i \(-0.0799638\pi\)
\(278\) 4.80775e6 2.77576e6i 0.223773 0.129195i
\(279\) −2.93361e6 −0.135080
\(280\) 2.40441e7i 1.09530i
\(281\) 3.19875e6 + 5.54040e6i 0.144166 + 0.249702i 0.929061 0.369926i \(-0.120617\pi\)
−0.784896 + 0.619628i \(0.787284\pi\)
\(282\) −395711. 685391.i −0.0176454 0.0305627i
\(283\) −1.21713e7 + 2.10812e7i −0.537002 + 0.930116i 0.462061 + 0.886848i \(0.347110\pi\)
−0.999064 + 0.0432674i \(0.986223\pi\)
\(284\) 2.13766e7 + 1.23418e7i 0.933218 + 0.538793i
\(285\) 2.14424e7i 0.926274i
\(286\) −1.01679e6 587045.i −0.0434644 0.0250942i
\(287\) −3.81904e7 2.20492e7i −1.61550 0.932712i
\(288\) −2.97455e6 1.71736e6i −0.124522 0.0718925i
\(289\) 7.32739e6 + 1.26914e7i 0.303568 + 0.525795i
\(290\) 2.02149e6i 0.0828852i
\(291\) −2.73827e7 + 1.58094e7i −1.11121 + 0.641559i
\(292\) −2.88575e7 1.66609e7i −1.15907 0.669190i
\(293\) 3.27806e7 1.30321 0.651605 0.758559i \(-0.274096\pi\)
0.651605 + 0.758559i \(0.274096\pi\)
\(294\) −2.62071e6 + 4.53921e6i −0.103128 + 0.178623i
\(295\) −2.27762e7 + 1.31498e7i −0.887186 + 0.512217i
\(296\) 315191. + 545927.i 0.0121534 + 0.0210504i
\(297\) 1.26740e7i 0.483776i
\(298\) 4.87127e6 + 8.43728e6i 0.184074 + 0.318826i
\(299\) 2.08887e7 0.781445
\(300\) 6.27053e7i 2.32242i
\(301\) 3.98363e7 1.00140e7i 1.46076 0.367203i
\(302\) 1.52608e6 0.0554059
\(303\) 1.71744e7i 0.617382i
\(304\) −1.20329e7 + 6.94719e6i −0.428301 + 0.247280i
\(305\) −5.40049e6 −0.190342
\(306\) 782637. 451855.i 0.0273147 0.0157701i
\(307\) −2.80741e6 4.86257e6i −0.0970265 0.168055i 0.813426 0.581668i \(-0.197600\pi\)
−0.910453 + 0.413613i \(0.864266\pi\)
\(308\) 1.63890e7 + 9.46218e6i 0.560918 + 0.323846i
\(309\) 2.01222e7i 0.682023i
\(310\) −2.80807e6 + 4.86372e6i −0.0942590 + 0.163261i
\(311\) −3.05334e6 5.28853e6i −0.101506 0.175814i 0.810799 0.585325i \(-0.199033\pi\)
−0.912305 + 0.409510i \(0.865700\pi\)
\(312\) 5.75271e6 0.189413
\(313\) −6.58821e6 + 3.80370e6i −0.214849 + 0.124043i −0.603563 0.797315i \(-0.706253\pi\)
0.388714 + 0.921359i \(0.372920\pi\)
\(314\) −1.10290e6 + 1.91028e6i −0.0356245 + 0.0617034i
\(315\) 1.21905e7 2.11146e7i 0.390023 0.675540i
\(316\) −1.50673e7 + 2.60973e7i −0.477500 + 0.827054i
\(317\) −5.38096e7 −1.68920 −0.844602 0.535394i \(-0.820163\pi\)
−0.844602 + 0.535394i \(0.820163\pi\)
\(318\) 4.52752e6 7.84189e6i 0.140792 0.243859i
\(319\) −2.80720e6 1.62074e6i −0.0864773 0.0499277i
\(320\) 4.37942e7 2.52846e7i 1.33649 0.771625i
\(321\) −3.19272e7 + 1.84332e7i −0.965264 + 0.557295i
\(322\) 1.25648e7 0.376346
\(323\) 1.16928e7i 0.346984i
\(324\) 1.08910e7 + 1.88637e7i 0.320208 + 0.554616i
\(325\) −2.86167e7 4.95656e7i −0.833623 1.44388i
\(326\) −3.04921e6 + 5.28139e6i −0.0880105 + 0.152439i
\(327\) 2.46613e7 + 1.42382e7i 0.705297 + 0.407203i
\(328\) 1.62804e7i 0.461365i
\(329\) 1.00833e7 + 5.82161e6i 0.283150 + 0.163477i
\(330\) −4.40580e6 2.54369e6i −0.122598 0.0707819i
\(331\) 3.23977e7 + 1.87048e7i 0.893367 + 0.515786i 0.875042 0.484046i \(-0.160833\pi\)
0.0183247 + 0.999832i \(0.494167\pi\)
\(332\) −2.22179e7 3.84825e7i −0.607139 1.05160i
\(333\) 639217.i 0.0173107i
\(334\) −1.01373e6 + 585276.i −0.0272071 + 0.0157080i
\(335\) 9.74356e7 + 5.62545e7i 2.59169 + 1.49631i
\(336\) −4.37510e7 −1.15337
\(337\) 2.46048e7 4.26167e7i 0.642880 1.11350i −0.341907 0.939734i \(-0.611073\pi\)
0.984787 0.173766i \(-0.0555938\pi\)
\(338\) −4.11090e6 + 2.37343e6i −0.106460 + 0.0614647i
\(339\) −2.07792e7 3.59906e7i −0.533370 0.923824i
\(340\) 4.63598e7i 1.17952i
\(341\) −4.50277e6 7.79903e6i −0.113558 0.196688i
\(342\) 1.11432e6 0.0278569
\(343\) 1.63298e7i 0.404667i
\(344\) −1.05552e7 1.08881e7i −0.259292 0.267471i
\(345\) 9.05117e7 2.20418
\(346\) 4.54220e6i 0.109657i
\(347\) 4.30351e7 2.48463e7i 1.02999 0.594667i 0.113011 0.993594i \(-0.463951\pi\)
0.916983 + 0.398927i \(0.130617\pi\)
\(348\) 7.79571e6 0.184977
\(349\) −1.94695e7 + 1.12407e7i −0.458013 + 0.264434i −0.711209 0.702981i \(-0.751852\pi\)
0.253195 + 0.967415i \(0.418518\pi\)
\(350\) −1.72132e7 2.98142e7i −0.401475 0.695375i
\(351\) 2.40936e7 + 1.39105e7i 0.557161 + 0.321677i
\(352\) 1.05438e7i 0.241752i
\(353\) 1.73408e7 3.00352e7i 0.394226 0.682820i −0.598776 0.800917i \(-0.704346\pi\)
0.993002 + 0.118097i \(0.0376792\pi\)
\(354\) −1.89247e6 3.27785e6i −0.0426597 0.0738888i
\(355\) 9.76215e7 2.18203
\(356\) −3.77952e6 + 2.18210e6i −0.0837696 + 0.0483644i
\(357\) 1.84092e7 3.18857e7i 0.404605 0.700796i
\(358\) 2.57335e6 4.45717e6i 0.0560853 0.0971426i
\(359\) 1.07648e6 1.86451e6i 0.0232660 0.0402979i −0.854158 0.520014i \(-0.825927\pi\)
0.877424 + 0.479716i \(0.159260\pi\)
\(360\) −9.00108e6 −0.192924
\(361\) −1.63140e7 + 2.82568e7i −0.346769 + 0.600621i
\(362\) −9.91816e6 5.72625e6i −0.209077 0.120710i
\(363\) −2.84415e7 + 1.64207e7i −0.594611 + 0.343299i
\(364\) −3.59757e7 + 2.07706e7i −0.745943 + 0.430670i
\(365\) −1.31785e8 −2.71012
\(366\) 777214.i 0.0158525i
\(367\) −3.80402e7 6.58876e7i −0.769564 1.33292i −0.937800 0.347177i \(-0.887140\pi\)
0.168236 0.985747i \(-0.446193\pi\)
\(368\) 2.93251e7 + 5.07926e7i 0.588432 + 1.01919i
\(369\) −8.25429e6 + 1.42969e7i −0.164286 + 0.284552i
\(370\) 1.05978e6 + 611862.i 0.0209223 + 0.0120795i
\(371\) 1.33216e8i 2.60876i
\(372\) 1.87566e7 + 1.08291e7i 0.364355 + 0.210360i
\(373\) −4.95129e6 2.85863e6i −0.0954095 0.0550847i 0.451536 0.892253i \(-0.350876\pi\)
−0.546946 + 0.837168i \(0.684210\pi\)
\(374\) 2.40252e6 + 1.38710e6i 0.0459254 + 0.0265150i
\(375\) −7.98795e7 1.38355e8i −1.51475 2.62363i
\(376\) 4.29849e6i 0.0808635i
\(377\) 6.16215e6 3.55772e6i 0.115003 0.0663968i
\(378\) 1.44926e7 + 8.36729e6i 0.268330 + 0.154921i
\(379\) −3.82632e7 −0.702851 −0.351426 0.936216i \(-0.614303\pi\)
−0.351426 + 0.936216i \(0.614303\pi\)
\(380\) −2.85821e7 + 4.95056e7i −0.520886 + 0.902201i
\(381\) 1.46231e7 8.44265e6i 0.264402 0.152652i
\(382\) −5.52122e6 9.56303e6i −0.0990478 0.171556i
\(383\) 1.75291e7i 0.312007i 0.987756 + 0.156004i \(0.0498611\pi\)
−0.987756 + 0.156004i \(0.950139\pi\)
\(384\) 1.67909e7 + 2.90827e7i 0.296538 + 0.513619i
\(385\) 7.48444e7 1.31153
\(386\) 1.25410e7i 0.218057i
\(387\) −3.74880e6 1.49130e7i −0.0646784 0.257296i
\(388\) −8.42937e7 −1.44311
\(389\) 7.18597e7i 1.22078i 0.792102 + 0.610389i \(0.208987\pi\)
−0.792102 + 0.610389i \(0.791013\pi\)
\(390\) 9.67125e6 5.58370e6i 0.163038 0.0941300i
\(391\) −4.93569e7 −0.825691
\(392\) −2.46541e7 + 1.42340e7i −0.409289 + 0.236303i
\(393\) −3.86427e7 6.69311e7i −0.636634 1.10268i
\(394\) 3.60061e6 + 2.07881e6i 0.0588692 + 0.0339881i
\(395\) 1.19180e8i 1.93380i
\(396\) 3.54224e6 6.13534e6i 0.0570417 0.0987991i
\(397\) 2.45314e7 + 4.24897e7i 0.392059 + 0.679066i 0.992721 0.120437i \(-0.0384296\pi\)
−0.600662 + 0.799503i \(0.705096\pi\)
\(398\) 4.31119e6 0.0683830
\(399\) 3.93168e7 2.26995e7i 0.618955 0.357354i
\(400\) 8.03485e7 1.39168e8i 1.25544 2.17449i
\(401\) 2.27838e7 3.94627e7i 0.353340 0.612003i −0.633492 0.773749i \(-0.718379\pi\)
0.986832 + 0.161746i \(0.0517124\pi\)
\(402\) −8.09590e6 + 1.40225e7i −0.124620 + 0.215848i
\(403\) 1.97682e7 0.302032
\(404\) −2.28929e7 + 3.96517e7i −0.347182 + 0.601337i
\(405\) 7.46046e7 + 4.30730e7i 1.12305 + 0.648396i
\(406\) 3.70659e6 2.14000e6i 0.0553856 0.0319769i
\(407\) −1.69936e6 + 981128.i −0.0252060 + 0.0145527i
\(408\) −1.35928e7 −0.200137
\(409\) 2.65415e7i 0.387932i 0.981008 + 0.193966i \(0.0621352\pi\)
−0.981008 + 0.193966i \(0.937865\pi\)
\(410\) 1.58021e7 + 2.73701e7i 0.229279 + 0.397122i
\(411\) 7.09320e6 + 1.22858e7i 0.102169 + 0.176961i
\(412\) 2.68222e7 4.64574e7i 0.383533 0.664298i
\(413\) 4.82230e7 + 2.78415e7i 0.684548 + 0.395224i
\(414\) 4.70372e6i 0.0662889i
\(415\) −1.52195e8 8.78700e7i −2.12940 1.22941i
\(416\) 2.00441e7 + 1.15725e7i 0.278425 + 0.160748i
\(417\) −7.33272e7 4.23355e7i −1.01125 0.583843i
\(418\) 1.71036e6 + 2.96244e6i 0.0234185 + 0.0405621i
\(419\) 4.15078e7i 0.564270i −0.959375 0.282135i \(-0.908957\pi\)
0.959375 0.282135i \(-0.0910427\pi\)
\(420\) −1.55884e8 + 8.99999e7i −2.10404 + 1.21477i
\(421\) −1.80073e6 1.03965e6i −0.0241325 0.0139329i 0.487885 0.872908i \(-0.337768\pi\)
−0.512018 + 0.858975i \(0.671102\pi\)
\(422\) −2.27914e7 −0.303274
\(423\) 2.17937e6 3.77477e6i 0.0287945 0.0498735i
\(424\) 4.25921e7 2.45906e7i 0.558768 0.322605i
\(425\) 6.76170e7 + 1.17116e8i 0.880824 + 1.52563i
\(426\) 1.40493e7i 0.181729i
\(427\) 5.71711e6 + 9.90232e6i 0.0734332 + 0.127190i
\(428\) −9.82833e7 −1.25357
\(429\) 1.79071e7i 0.226805i
\(430\) −2.83131e7 8.05960e6i −0.356109 0.101370i
\(431\) 8.20353e6 0.102463 0.0512317 0.998687i \(-0.483685\pi\)
0.0512317 + 0.998687i \(0.483685\pi\)
\(432\) 7.81141e7i 0.968899i
\(433\) 8.98566e7 5.18787e7i 1.10684 0.639037i 0.168834 0.985645i \(-0.446000\pi\)
0.938010 + 0.346608i \(0.112667\pi\)
\(434\) 1.18908e7 0.145459
\(435\) 2.67008e7 1.54157e7i 0.324382 0.187282i
\(436\) 3.79581e7 + 6.57453e7i 0.457978 + 0.793241i
\(437\) −5.27060e7 3.04298e7i −0.631562 0.364632i
\(438\) 1.89659e7i 0.225711i
\(439\) −1.94516e7 + 3.36911e7i −0.229912 + 0.398219i −0.957782 0.287496i \(-0.907177\pi\)
0.727870 + 0.685715i \(0.240510\pi\)
\(440\) −1.38157e7 2.39295e7i −0.162186 0.280915i
\(441\) −2.88670e7 −0.336578
\(442\) −5.27383e6 + 3.04484e6i −0.0610744 + 0.0352613i
\(443\) 2.44303e7 4.23145e7i 0.281007 0.486719i −0.690626 0.723212i \(-0.742665\pi\)
0.971633 + 0.236493i \(0.0759982\pi\)
\(444\) 2.35960e6 4.08695e6i 0.0269581 0.0466928i
\(445\) −8.63006e6 + 1.49477e7i −0.0979341 + 0.169627i
\(446\) 3.02474e7 0.340944
\(447\) 7.42960e7 1.28684e8i 0.831845 1.44080i
\(448\) −9.27236e7 5.35340e7i −1.03123 0.595382i
\(449\) 1.01162e8 5.84061e7i 1.11758 0.645237i 0.176800 0.984247i \(-0.443425\pi\)
0.940783 + 0.339010i \(0.110092\pi\)
\(450\) −1.11612e7 + 6.44391e6i −0.122482 + 0.0707151i
\(451\) −5.06778e7 −0.552443
\(452\) 1.10792e8i 1.19975i
\(453\) −1.16378e7 2.01572e7i −0.125192 0.216838i
\(454\) 9.32081e6 + 1.61441e7i 0.0996062 + 0.172523i
\(455\) −8.21462e7 + 1.42281e8i −0.872074 + 1.51048i
\(456\) −1.45151e7 8.38031e6i −0.153083 0.0883823i
\(457\) 3.53543e7i 0.370419i −0.982699 0.185210i \(-0.940704\pi\)
0.982699 0.185210i \(-0.0592964\pi\)
\(458\) 1.78379e7 + 1.02987e7i 0.185672 + 0.107198i
\(459\) −5.69296e7 3.28683e7i −0.588708 0.339891i
\(460\) 2.08970e8 + 1.20649e8i 2.14690 + 1.23951i
\(461\) 4.16039e7 + 7.20600e7i 0.424650 + 0.735515i 0.996388 0.0849213i \(-0.0270639\pi\)
−0.571738 + 0.820436i \(0.693731\pi\)
\(462\) 1.07713e7i 0.109230i
\(463\) 2.26846e7 1.30969e7i 0.228553 0.131955i −0.381351 0.924430i \(-0.624541\pi\)
0.609905 + 0.792475i \(0.291208\pi\)
\(464\) 1.73017e7 + 9.98917e6i 0.173195 + 0.0999943i
\(465\) 8.56566e7 0.851926
\(466\) 1.06440e7 1.84359e7i 0.105183 0.182182i
\(467\) 5.25464e7 3.03377e7i 0.515932 0.297873i −0.219337 0.975649i \(-0.570389\pi\)
0.735268 + 0.677776i \(0.237056\pi\)
\(468\) 7.77564e6 + 1.34678e7i 0.0758575 + 0.131389i
\(469\) 2.38210e8i 2.30909i
\(470\) −4.17221e6 7.22647e6i −0.0401858 0.0696038i
\(471\) 3.36427e7 0.321979
\(472\) 2.05573e7i 0.195497i
\(473\) 3.38924e7 3.28561e7i 0.320272 0.310479i
\(474\) −1.71518e7 −0.161055
\(475\) 1.66750e8i 1.55592i
\(476\) 8.50052e7 4.90778e7i 0.788179 0.455055i
\(477\) 4.98704e7 0.459502
\(478\) 5.77850e6 3.33622e6i 0.0529092 0.0305472i
\(479\) 8.69837e6 + 1.50660e7i 0.0791464 + 0.137086i 0.902882 0.429889i \(-0.141447\pi\)
−0.823735 + 0.566974i \(0.808114\pi\)
\(480\) 8.68521e7 + 5.01441e7i 0.785338 + 0.453415i
\(481\) 4.30739e6i 0.0387060i
\(482\) −208621. + 361343.i −0.00186302 + 0.00322685i
\(483\) −9.58182e7 1.65962e8i −0.850367 1.47288i
\(484\) −8.75532e7 −0.772211
\(485\) −2.88711e8 + 1.66688e8i −2.53069 + 1.46109i
\(486\) 5.60794e6 9.71324e6i 0.0488534 0.0846166i
\(487\) −4.18992e7 + 7.25716e7i −0.362760 + 0.628318i −0.988414 0.151782i \(-0.951499\pi\)
0.625654 + 0.780100i \(0.284832\pi\)
\(488\) 2.11066e6 3.65578e6i 0.0181618 0.0314572i
\(489\) 9.30123e7 0.795452
\(490\) −2.76317e7 + 4.78595e7i −0.234865 + 0.406799i
\(491\) 1.35911e8 + 7.84681e7i 1.14818 + 0.662901i 0.948443 0.316949i \(-0.102658\pi\)
0.199736 + 0.979850i \(0.435992\pi\)
\(492\) 1.05551e8 6.09397e7i 0.886269 0.511687i
\(493\) −1.45602e7 + 8.40635e6i −0.121514 + 0.0701563i
\(494\) −7.50890e6 −0.0622868
\(495\) 2.80186e7i 0.231010i
\(496\) 2.77521e7 + 4.80680e7i 0.227432 + 0.393923i
\(497\) −1.03345e8 1.78999e8i −0.841821 1.45808i
\(498\) 1.26459e7 2.19033e7i 0.102391 0.177346i
\(499\) 1.19266e7 + 6.88584e6i 0.0959878 + 0.0554186i 0.547226 0.836985i \(-0.315684\pi\)
−0.451238 + 0.892404i \(0.649017\pi\)
\(500\) 4.25907e8i 3.40726i
\(501\) 1.54612e7 + 8.92655e6i 0.122951 + 0.0709857i
\(502\) 1.13405e7 + 6.54745e6i 0.0896441 + 0.0517560i
\(503\) −1.16420e8 6.72153e7i −0.914797 0.528159i −0.0328259 0.999461i \(-0.510451\pi\)
−0.881972 + 0.471303i \(0.843784\pi\)
\(504\) 9.52879e6 + 1.65044e7i 0.0744297 + 0.128916i
\(505\) 1.81080e8i 1.40603i
\(506\) 1.25049e7 7.21970e6i 0.0965225 0.0557273i
\(507\) 6.26989e7 + 3.61992e7i 0.481101 + 0.277764i
\(508\) 4.50151e7 0.343374
\(509\) 9.38542e7 1.62560e8i 0.711706 1.23271i −0.252511 0.967594i \(-0.581256\pi\)
0.964216 0.265116i \(-0.0854103\pi\)
\(510\) −2.28517e7 + 1.31934e7i −0.172269 + 0.0994598i
\(511\) 1.39511e8 + 2.41641e8i 1.04556 + 1.81095i
\(512\) 1.09653e8i 0.816977i
\(513\) −4.05284e7 7.01972e7i −0.300197 0.519957i
\(514\) −2.16156e7 −0.159176
\(515\) 2.12159e8i 1.55325i
\(516\) −3.10812e7 + 1.09187e8i −0.226229 + 0.794737i
\(517\) 1.33804e7 0.0968270
\(518\) 2.59094e6i 0.0186409i
\(519\) −5.99957e7 + 3.46385e7i −0.429159 + 0.247775i
\(520\) 6.06541e7 0.431370
\(521\) −4.96331e6 + 2.86557e6i −0.0350961 + 0.0202627i −0.517445 0.855716i \(-0.673117\pi\)
0.482349 + 0.875979i \(0.339784\pi\)
\(522\) −801127. 1.38759e6i −0.00563235 0.00975552i
\(523\) −1.02249e8 5.90336e7i −0.714751 0.412661i 0.0980669 0.995180i \(-0.468734\pi\)
−0.812818 + 0.582518i \(0.802067\pi\)
\(524\) 2.06038e8i 1.43203i
\(525\) −2.62534e8 + 4.54722e8i −1.81429 + 3.14245i
\(526\) −7.23594e6 1.25330e7i −0.0497208 0.0861189i
\(527\) −4.67094e7 −0.319133
\(528\) −4.35424e7 + 2.51392e7i −0.295809 + 0.170785i
\(529\) −5.44309e7 + 9.42771e7i −0.367687 + 0.636853i
\(530\) 4.77362e7 8.26815e7i 0.320642 0.555368i
\(531\) 1.04227e7 1.80526e7i 0.0696140 0.120575i
\(532\) 1.21031e8 0.803825
\(533\) 5.56219e7 9.63399e7i 0.367336 0.636245i
\(534\) −2.15121e6 1.24200e6i −0.0141273 0.00815639i
\(535\) −3.36627e8 + 1.94352e8i −2.19830 + 1.26919i
\(536\) −7.61612e7 + 4.39717e7i −0.494583 + 0.285548i
\(537\) −7.84967e7 −0.506907
\(538\) 2.52311e7i 0.162028i
\(539\) −4.43077e7 7.67432e7i −0.282952 0.490088i
\(540\) 1.60688e8 + 2.78320e8i 1.02048 + 1.76752i
\(541\) −1.06737e7 + 1.84874e7i −0.0674098 + 0.116757i −0.897760 0.440484i \(-0.854807\pi\)
0.830351 + 0.557241i \(0.188140\pi\)
\(542\) −2.81810e7 1.62703e7i −0.176994 0.102187i
\(543\) 1.74672e8i 1.09100i
\(544\) −4.73613e7 2.73441e7i −0.294189 0.169850i
\(545\) 2.60018e8 + 1.50121e8i 1.60625 + 0.927369i
\(546\) −2.04765e7 1.18221e7i −0.125799 0.0726302i
\(547\) 8.26145e7 + 1.43093e8i 0.504771 + 0.874289i 0.999985 + 0.00551779i \(0.00175638\pi\)
−0.495214 + 0.868771i \(0.664910\pi\)
\(548\) 3.78200e7i 0.229816i
\(549\) 3.70701e6 2.14024e6i 0.0224030 0.0129344i
\(550\) −3.42624e7 1.97814e7i −0.205935 0.118897i
\(551\) −2.07309e7 −0.123926
\(552\) −3.53745e7 + 6.12705e7i −0.210317 + 0.364279i
\(553\) 2.18528e8 1.26167e8i 1.29220 0.746054i
\(554\) 3.10614e7 + 5.37999e7i 0.182680 + 0.316411i
\(555\) 1.86641e7i 0.109176i
\(556\) −1.12864e8 1.95485e8i −0.656643 1.13734i
\(557\) −2.88414e8 −1.66898 −0.834490 0.551024i \(-0.814237\pi\)
−0.834490 + 0.551024i \(0.814237\pi\)
\(558\) 4.45141e6i 0.0256209i
\(559\) 2.52614e7 + 1.00492e8i 0.144618 + 0.575302i
\(560\) −4.61291e8 −2.62670
\(561\) 4.23117e7i 0.239647i
\(562\) −8.40691e6 + 4.85373e6i −0.0473617 + 0.0273443i
\(563\) 4.68637e7 0.262610 0.131305 0.991342i \(-0.458083\pi\)
0.131305 + 0.991342i \(0.458083\pi\)
\(564\) −2.78683e7 + 1.60898e7i −0.155337 + 0.0896836i
\(565\) −2.19087e8 3.79469e8i −1.21470 2.10393i
\(566\) −3.19883e7 1.84685e7i −0.176418 0.101855i
\(567\) 1.82393e8i 1.00060i
\(568\) −3.81533e7 + 6.60834e7i −0.208203 + 0.360618i
\(569\) −2.29989e7 3.98352e7i −0.124845 0.216237i 0.796828 0.604207i \(-0.206510\pi\)
−0.921672 + 0.387969i \(0.873177\pi\)
\(570\) −3.25364e7 −0.175689
\(571\) 8.22436e7 4.74834e7i 0.441768 0.255055i −0.262580 0.964910i \(-0.584573\pi\)
0.704347 + 0.709856i \(0.251240\pi\)
\(572\) −2.38695e7 + 4.13432e7i −0.127543 + 0.220910i
\(573\) −8.42089e7 + 1.45854e8i −0.447604 + 0.775273i
\(574\) 3.34571e7 5.79494e7i 0.176910 0.306417i
\(575\) 7.03879e8 3.70249
\(576\) −2.00409e7 + 3.47118e7i −0.104869 + 0.181639i
\(577\) 1.02567e8 + 5.92171e7i 0.533925 + 0.308262i 0.742613 0.669721i \(-0.233586\pi\)
−0.208688 + 0.977982i \(0.566919\pi\)
\(578\) −1.92578e7 + 1.11185e7i −0.0997292 + 0.0575787i
\(579\) 1.65648e8 9.56370e7i 0.853396 0.492709i
\(580\) 8.21947e7 0.421269
\(581\) 3.72086e8i 1.89721i
\(582\) −2.39889e7 4.15501e7i −0.121686 0.210767i
\(583\) 7.65456e7 + 1.32581e8i 0.386291 + 0.669075i
\(584\) 5.15054e7 8.92099e7i 0.258591 0.447893i
\(585\) 5.32641e7 + 3.07521e7i 0.266052 + 0.153605i
\(586\) 4.97408e7i 0.247184i
\(587\) −2.79439e8 1.61334e8i −1.38157 0.797649i −0.389224 0.921143i \(-0.627257\pi\)
−0.992345 + 0.123494i \(0.960590\pi\)
\(588\) 1.84566e8 + 1.06559e8i 0.907864 + 0.524155i
\(589\) −4.98788e7 2.87975e7i −0.244101 0.140932i
\(590\) −1.99533e7 3.45602e7i −0.0971538 0.168275i
\(591\) 6.34116e7i 0.307190i
\(592\) 1.04738e7 6.04702e6i 0.0504821 0.0291458i
\(593\) 2.26537e7 + 1.30791e7i 0.108636 + 0.0627213i 0.553334 0.832960i \(-0.313355\pi\)
−0.444697 + 0.895681i \(0.646689\pi\)
\(594\) 1.92313e7 0.0917592
\(595\) 1.94099e8 3.36189e8i 0.921452 1.59600i
\(596\) 3.43064e8 1.98068e8i 1.62045 0.935569i
\(597\) −3.28769e7 5.69444e7i −0.154514 0.267626i
\(598\) 3.16962e7i 0.148219i
\(599\) −4.77747e7 8.27482e7i −0.222289 0.385015i 0.733214 0.679998i \(-0.238019\pi\)
−0.955503 + 0.294983i \(0.904686\pi\)
\(600\) 1.93847e8 0.897439
\(601\) 3.95284e8i 1.82090i 0.413620 + 0.910450i \(0.364264\pi\)
−0.413620 + 0.910450i \(0.635736\pi\)
\(602\) 1.51950e7 + 6.04470e7i 0.0696485 + 0.277067i
\(603\) −8.91758e7 −0.406720
\(604\) 6.20511e7i 0.281604i
\(605\) −2.99875e8 + 1.73133e8i −1.35417 + 0.781833i
\(606\) −2.60602e7 −0.117101
\(607\) −2.42388e7 + 1.39943e7i −0.108379 + 0.0625727i −0.553210 0.833042i \(-0.686597\pi\)
0.444831 + 0.895615i \(0.353264\pi\)
\(608\) −3.37166e7 5.83989e7i −0.150015 0.259833i
\(609\) −5.65325e7 3.26390e7i −0.250292 0.144506i
\(610\) 8.19461e6i 0.0361026i
\(611\) −1.46857e7 + 2.54365e7i −0.0643832 + 0.111515i
\(612\) −1.83727e7 3.18224e7i −0.0801526 0.138828i
\(613\) −1.02923e8 −0.446819 −0.223409 0.974725i \(-0.571719\pi\)
−0.223409 + 0.974725i \(0.571719\pi\)
\(614\) 7.37839e6 4.25991e6i 0.0318755 0.0184033i
\(615\) 2.41012e8 4.17445e8i 1.03613 1.79462i
\(616\) −2.92513e7 + 5.06648e7i −0.125142 + 0.216752i
\(617\) −1.38052e8 + 2.39114e8i −0.587744 + 1.01800i 0.406783 + 0.913525i \(0.366651\pi\)
−0.994527 + 0.104478i \(0.966683\pi\)
\(618\) 3.05330e7 0.129361
\(619\) 5.78576e6 1.00212e7i 0.0243943 0.0422522i −0.853571 0.520977i \(-0.825568\pi\)
0.877965 + 0.478725i \(0.158901\pi\)
\(620\) 1.97761e8 + 1.14177e8i 0.829786 + 0.479077i
\(621\) −2.96313e8 + 1.71076e8i −1.23730 + 0.714357i
\(622\) 8.02473e6 4.63308e6i 0.0333472 0.0192530i
\(623\) 3.65441e7 0.151131
\(624\) 1.10367e8i 0.454241i
\(625\) −4.99126e8 8.64511e8i −2.04442 3.54104i
\(626\) −5.77168e6 9.99684e6i −0.0235277 0.0407511i
\(627\) 2.60862e7 4.51827e7i 0.105830 0.183303i
\(628\) 7.76731e7 + 4.48446e7i 0.313611 + 0.181064i
\(629\) 1.01777e7i 0.0408976i
\(630\) 3.20389e7 + 1.84977e7i 0.128132 + 0.0739768i
\(631\) 5.28793e7 + 3.05299e7i 0.210474 + 0.121517i 0.601531 0.798849i \(-0.294557\pi\)
−0.391058 + 0.920366i \(0.627891\pi\)
\(632\) −8.06769e7 4.65788e7i −0.319594 0.184517i
\(633\) 1.73806e8 + 3.01041e8i 0.685258 + 1.18690i
\(634\) 8.16499e7i 0.320397i
\(635\) 1.54180e8 8.90157e7i 0.602152 0.347652i
\(636\) −3.18855e8 1.84091e8i −1.23943 0.715585i
\(637\) 1.94521e8 0.752574
\(638\) 2.45928e6 4.25961e6i 0.00946993 0.0164024i
\(639\) −6.70095e7 + 3.86879e7i −0.256823 + 0.148277i
\(640\) 1.77036e8 + 3.06635e8i 0.675339 + 1.16972i
\(641\) 5.70618e7i 0.216656i 0.994115 + 0.108328i \(0.0345497\pi\)
−0.994115 + 0.108328i \(0.965450\pi\)
\(642\) −2.79702e7 4.84458e7i −0.105704 0.183084i
\(643\) 8.38216e7 0.315299 0.157650 0.987495i \(-0.449608\pi\)
0.157650 + 0.987495i \(0.449608\pi\)
\(644\) 5.10890e8i 1.91280i
\(645\) 1.09459e8 + 4.35436e8i 0.407917 + 1.62273i
\(646\) 1.77424e7 0.0658135
\(647\) 3.93110e8i 1.45145i 0.687986 + 0.725724i \(0.258495\pi\)
−0.687986 + 0.725724i \(0.741505\pi\)
\(648\) −5.83152e7 + 3.36683e7i −0.214317 + 0.123736i
\(649\) 6.39908e7 0.234090
\(650\) 7.52100e7 4.34225e7i 0.273864 0.158116i
\(651\) −9.06784e7 1.57060e8i −0.328671 0.569274i
\(652\) 2.14744e8 + 1.23982e8i 0.774779 + 0.447319i
\(653\) 8.10400e7i 0.291045i 0.989355 + 0.145522i \(0.0464863\pi\)
−0.989355 + 0.145522i \(0.953514\pi\)
\(654\) −2.16048e7 + 3.74206e7i −0.0772355 + 0.133776i
\(655\) −4.07432e8 7.05693e8i −1.44988 2.51126i
\(656\) 3.12344e8 1.10642
\(657\) 9.04601e7 5.22272e7i 0.318978 0.184162i
\(658\) −8.83362e6 + 1.53003e7i −0.0310071 + 0.0537059i
\(659\) −1.23915e8 + 2.14628e8i −0.432981 + 0.749946i −0.997128 0.0757287i \(-0.975872\pi\)
0.564147 + 0.825674i \(0.309205\pi\)
\(660\) −1.03428e8 + 1.79142e8i −0.359753 + 0.623111i
\(661\) −4.96868e7 −0.172043 −0.0860214 0.996293i \(-0.527415\pi\)
−0.0860214 + 0.996293i \(0.527415\pi\)
\(662\) −2.83824e7 + 4.91597e7i −0.0978306 + 0.169448i
\(663\) 8.04357e7 + 4.64396e7i 0.275999 + 0.159348i
\(664\) 1.18964e8 6.86842e7i 0.406362 0.234613i
\(665\) 4.14539e8 2.39334e8i 1.40962 0.813842i
\(666\) −969937. −0.00328338
\(667\) 8.75084e7i 0.294898i
\(668\) 2.37976e7 + 4.12187e7i 0.0798369 + 0.138282i
\(669\) −2.30665e8 3.99523e8i −0.770376 1.33433i
\(670\) −8.53597e7 + 1.47847e8i −0.283810 + 0.491574i
\(671\) 1.13797e7 + 6.57008e6i 0.0376672 + 0.0217472i
\(672\) 2.12336e8i 0.699705i
\(673\) 2.65859e8 + 1.53494e8i 0.872181 + 0.503554i 0.868072 0.496438i \(-0.165359\pi\)
0.00410868 + 0.999992i \(0.498692\pi\)
\(674\) 6.46659e7 + 3.73349e7i 0.211201 + 0.121937i
\(675\) 8.11873e8 + 4.68735e8i 2.63984 + 1.52411i
\(676\) 9.65047e7 + 1.67151e8i 0.312398 + 0.541090i
\(677\) 2.43077e8i 0.783388i −0.920096 0.391694i \(-0.871889\pi\)
0.920096 0.391694i \(-0.128111\pi\)
\(678\) 5.46115e7 3.15300e7i 0.175225 0.101166i
\(679\) 6.11276e8 + 3.52920e8i 1.95267 + 1.12737i
\(680\) −1.43317e8 −0.455795
\(681\) 1.42160e8 2.46228e8i 0.450128 0.779644i
\(682\) 1.18341e7 6.83243e6i 0.0373064 0.0215388i
\(683\) −1.82732e8 3.16501e8i −0.573524 0.993373i −0.996200 0.0870924i \(-0.972242\pi\)
0.422676 0.906281i \(-0.361091\pi\)
\(684\) 4.53089e7i 0.141584i
\(685\) 7.47877e7 + 1.29536e8i 0.232680 + 0.403013i
\(686\) 2.47785e7 0.0767544
\(687\) 3.14149e8i 0.968871i
\(688\) −2.08891e8 + 2.02503e8i −0.641436 + 0.621823i
\(689\) −3.36053e8 −1.02743
\(690\) 1.37341e8i 0.418074i
\(691\) −1.14644e7 + 6.61898e6i −0.0347470 + 0.0200612i −0.517273 0.855821i \(-0.673053\pi\)
0.482526 + 0.875882i \(0.339719\pi\)
\(692\) −1.84688e8 −0.557341
\(693\) −5.13748e7 + 2.96613e7i −0.154366 + 0.0891230i
\(694\) 3.77014e7 + 6.53008e7i 0.112792 + 0.195362i
\(695\) −7.73130e8 4.46367e8i −2.30302 1.32965i
\(696\) 2.40996e7i 0.0714797i
\(697\) −1.31426e8 + 2.27637e8i −0.388135 + 0.672270i
\(698\) −1.70565e7 2.95427e7i −0.0501560 0.0868727i
\(699\) −3.24680e8 −0.950658
\(700\) −1.21226e9 + 6.99899e8i −3.53429 + 2.04052i
\(701\) −4.75643e6 + 8.23837e6i −0.0138079 + 0.0239159i −0.872847 0.487994i \(-0.837729\pi\)
0.859039 + 0.511910i \(0.171062\pi\)
\(702\) −2.11075e7 + 3.65593e7i −0.0610135 + 0.105678i
\(703\) −6.27482e6 + 1.08683e7i −0.0180607 + 0.0312821i
\(704\) −1.23042e8 −0.352644
\(705\) −6.36339e7 + 1.10217e8i −0.181602 + 0.314545i
\(706\) 4.55749e7 + 2.63127e7i 0.129513 + 0.0747741i
\(707\) 3.32027e8 1.91696e8i 0.939540 0.542444i
\(708\) −1.33279e8 + 7.69485e7i −0.375544 + 0.216821i
\(709\) −1.07299e7 −0.0301063 −0.0150531 0.999887i \(-0.504792\pi\)
−0.0150531 + 0.999887i \(0.504792\pi\)
\(710\) 1.48129e8i 0.413872i
\(711\) −4.72316e7 8.18075e7i −0.131409 0.227606i
\(712\) −6.74575e6 1.16840e7i −0.0186892 0.0323706i
\(713\) −1.21559e8 + 2.10546e8i −0.335365 + 0.580869i
\(714\) 4.83829e7 + 2.79339e7i 0.132922 + 0.0767426i
\(715\) 1.88804e8i 0.516528i
\(716\) −1.81230e8 1.04633e8i −0.493733 0.285057i
\(717\) −8.81329e7 5.08836e7i −0.239101 0.138045i
\(718\) 2.82918e6 + 1.63343e6i 0.00764342 + 0.00441293i
\(719\) 1.71077e8 + 2.96313e8i 0.460261 + 0.797195i 0.998974 0.0452945i \(-0.0144226\pi\)
−0.538713 + 0.842489i \(0.681089\pi\)
\(720\) 1.72688e8i 0.462663i
\(721\) −3.89015e8 + 2.24598e8i −1.03791 + 0.599238i
\(722\) −4.28764e7 2.47547e7i −0.113922 0.0657727i
\(723\) 6.36373e6 0.0168382
\(724\) −2.32832e8 + 4.03277e8i −0.613518 + 1.06264i
\(725\) 2.07643e8 1.19883e8i 0.544884 0.314589i
\(726\) −2.49165e7 4.31567e7i −0.0651145 0.112782i
\(727\) 8.56605e7i 0.222935i 0.993768 + 0.111467i \(0.0355550\pi\)
−0.993768 + 0.111467i \(0.964445\pi\)
\(728\) −6.42101e7 1.11215e8i −0.166421 0.288250i
\(729\) −4.28432e8 −1.10586
\(730\) 1.99969e8i 0.514036i
\(731\) −5.96890e7 2.37448e8i −0.152807 0.607877i
\(732\) −3.16019e7 −0.0805712
\(733\) 6.61593e8i 1.67988i 0.542678 + 0.839941i \(0.317410\pi\)
−0.542678 + 0.839941i \(0.682590\pi\)
\(734\) 9.99768e7 5.77216e7i 0.252820 0.145966i
\(735\) 8.42869e8 2.12275
\(736\) −2.46511e8 + 1.42323e8i −0.618304 + 0.356978i
\(737\) −1.36875e8 2.37075e8i −0.341918 0.592220i
\(738\) −2.16938e7 1.25249e7i −0.0539718 0.0311606i
\(739\) 8.31473e7i 0.206023i −0.994680 0.103011i \(-0.967152\pi\)
0.994680 0.103011i \(-0.0328478\pi\)
\(740\) 2.48786e7 4.30910e7i 0.0613947 0.106339i
\(741\) 5.72624e7 + 9.91814e7i 0.140739 + 0.243767i
\(742\) −2.02139e8 −0.494811
\(743\) −5.72327e6 + 3.30433e6i −0.0139533 + 0.00805596i −0.506960 0.861969i \(-0.669231\pi\)
0.493007 + 0.870025i \(0.335898\pi\)
\(744\) −3.34770e7 + 5.79839e7i −0.0812883 + 0.140795i
\(745\) 7.83345e8 1.35679e9i 1.89445 3.28129i
\(746\) 4.33764e6 7.51301e6i 0.0104481 0.0180966i
\(747\) 1.39293e8 0.334171
\(748\) 5.64001e7 9.76878e7i 0.134764 0.233419i
\(749\) 7.12725e8 + 4.11492e8i 1.69620 + 0.979300i
\(750\) 2.09938e8 1.21208e8i 0.497631 0.287308i
\(751\) −3.38651e8 + 1.95520e8i −0.799526 + 0.461607i −0.843305 0.537435i \(-0.819393\pi\)
0.0437794 + 0.999041i \(0.486060\pi\)
\(752\) −8.24677e7 −0.193923
\(753\) 1.99722e8i 0.467778i
\(754\) 5.39842e6 + 9.35034e6i 0.0125937 + 0.0218129i
\(755\) −1.22704e8 2.12529e8i −0.285113 0.493830i
\(756\) 3.40218e8 5.89275e8i 0.787393 1.36381i
\(757\) 6.78883e8 + 3.91953e8i 1.56498 + 0.903539i 0.996741 + 0.0806723i \(0.0257067\pi\)
0.568235 + 0.822867i \(0.307627\pi\)
\(758\) 5.80599e7i 0.133312i
\(759\) −1.90723e8 1.10114e8i −0.436192 0.251836i
\(760\) −1.53041e8 8.83584e7i −0.348632 0.201283i
\(761\) 2.05333e8 + 1.18549e8i 0.465913 + 0.268995i 0.714527 0.699608i \(-0.246642\pi\)
−0.248614 + 0.968603i \(0.579975\pi\)
\(762\) 1.28107e7 + 2.21889e7i 0.0289541 + 0.0501499i
\(763\) 6.35690e8i 1.43111i
\(764\) −3.88837e8 + 2.24495e8i −0.871942 + 0.503416i