Properties

Label 21.7.h.a.11.5
Level $21$
Weight $7$
Character 21.11
Analytic conductor $4.831$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 21.11
Dual form 21.7.h.a.2.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.69684 + 3.28907i) q^{2} +(2.79228 + 26.8552i) q^{3} +(-10.3640 + 17.9510i) q^{4} +(57.4599 - 33.1745i) q^{5} +(-104.236 - 143.806i) q^{6} +(-329.948 + 93.7191i) q^{7} -557.353i q^{8} +(-713.406 + 149.974i) q^{9} +O(q^{10})\) \(q+(-5.69684 + 3.28907i) q^{2} +(2.79228 + 26.8552i) q^{3} +(-10.3640 + 17.9510i) q^{4} +(57.4599 - 33.1745i) q^{5} +(-104.236 - 143.806i) q^{6} +(-329.948 + 93.7191i) q^{7} -557.353i q^{8} +(-713.406 + 149.974i) q^{9} +(-218.227 + 377.979i) q^{10} +(-603.143 - 348.225i) q^{11} +(-511.016 - 228.203i) q^{12} -824.771 q^{13} +(1571.41 - 1619.13i) q^{14} +(1051.35 + 1450.47i) q^{15} +(1169.88 + 2026.29i) q^{16} +(4784.05 + 2762.07i) q^{17} +(3570.89 - 3200.83i) q^{18} +(2527.23 + 4377.29i) q^{19} +1375.28i q^{20} +(-3438.15 - 8599.14i) q^{21} +4581.35 q^{22} +(-17221.4 + 9942.79i) q^{23} +(14967.8 - 1556.28i) q^{24} +(-5611.41 + 9719.25i) q^{25} +(4698.59 - 2712.73i) q^{26} +(-6019.63 - 18739.9i) q^{27} +(1737.23 - 6894.19i) q^{28} -23408.7i q^{29} +(-10760.1 - 4805.10i) q^{30} +(-23180.0 + 40149.0i) q^{31} +(17562.4 + 10139.7i) q^{32} +(7667.51 - 17169.9i) q^{33} -36338.6 q^{34} +(-15849.7 + 16330.9i) q^{35} +(4701.55 - 14360.7i) q^{36} +(24177.8 + 41877.2i) q^{37} +(-28794.4 - 16624.5i) q^{38} +(-2302.99 - 22149.4i) q^{39} +(-18489.9 - 32025.4i) q^{40} +15904.7i q^{41} +(47869.8 + 37679.6i) q^{42} +21757.0 q^{43} +(12501.9 - 7217.99i) q^{44} +(-36016.9 + 32284.4i) q^{45} +(65405.1 - 113285. i) q^{46} +(33042.5 - 19077.1i) q^{47} +(-51149.9 + 37075.4i) q^{48} +(100082. - 61844.9i) q^{49} -73825.4i q^{50} +(-60817.6 + 136189. i) q^{51} +(8547.91 - 14805.4i) q^{52} +(193312. + 111609. i) q^{53} +(95929.8 + 86959.4i) q^{54} -46208.7 q^{55} +(52234.6 + 183898. i) q^{56} +(-110496. + 80091.9i) q^{57} +(76992.9 + 133356. i) q^{58} +(-271755. - 156898. i) q^{59} +(-36933.4 + 3840.16i) q^{60} +(-126472. - 219056. i) q^{61} -304963. i q^{62} +(221332. - 116344. i) q^{63} -283145. q^{64} +(-47391.2 + 27361.3i) q^{65} +(12792.4 + 123033. i) q^{66} +(82947.6 - 143669. i) q^{67} +(-99163.6 + 57252.1i) q^{68} +(-315103. - 434722. i) q^{69} +(36579.5 - 145166. i) q^{70} +298965. i q^{71} +(83588.7 + 397619. i) q^{72} +(-2216.28 + 3838.71i) q^{73} +(-275474. - 159045. i) q^{74} +(-276681. - 123557. i) q^{75} -104769. q^{76} +(231641. + 58370.1i) q^{77} +(85970.8 + 118607. i) q^{78} +(310276. + 537413. i) q^{79} +(134442. + 77620.3i) q^{80} +(486456. - 213985. i) q^{81} +(-52311.7 - 90606.6i) q^{82} +414931. i q^{83} +(189996. + 27403.2i) q^{84} +366521. q^{85} +(-123946. + 71560.3i) q^{86} +(628645. - 65363.5i) q^{87} +(-194084. + 336164. i) q^{88} +(649685. - 375096. i) q^{89} +(98996.9 - 302381. i) q^{90} +(272131. - 77296.8i) q^{91} -412188. i q^{92} +(-1.14293e6 - 510398. i) q^{93} +(-125492. + 217359. i) q^{94} +(290428. + 167679. i) q^{95} +(-223264. + 499955. i) q^{96} +212245. q^{97} +(-366742. + 681499. i) q^{98} +(482511. + 157970. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} + O(q^{10}) \) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} - 930q^{10} - 404q^{12} + 3632q^{13} + 5450q^{15} - 13706q^{16} + 1612q^{18} + 6830q^{19} - 11333q^{21} - 27348q^{22} - 54498q^{24} - 7640q^{25} + 13268q^{27} + 88522q^{28} + 32380q^{30} + 69410q^{31} - 85459q^{33} - 31344q^{34} + 399028q^{36} - 71830q^{37} + 104570q^{39} + 230250q^{40} - 467782q^{42} - 498904q^{43} - 85375q^{45} - 342660q^{46} - 324728q^{48} + 395668q^{49} + 42177q^{51} + 218000q^{52} - 402122q^{54} + 231660q^{55} + 786782q^{57} + 459522q^{58} + 1021150q^{60} + 153158q^{61} + 179011q^{63} - 1399412q^{64} + 80896q^{66} - 977098q^{67} - 1520742q^{69} - 139650q^{70} - 1001352q^{72} - 488350q^{73} + 1434610q^{75} + 6196280q^{76} + 245176q^{78} + 380762q^{79} + 893531q^{81} - 3665004q^{82} + 1231496q^{84} - 912540q^{85} + 1452416q^{87} - 1522482q^{88} - 11713820q^{90} - 1529416q^{91} - 1690071q^{93} - 3034044q^{94} + 7549346q^{96} + 7212176q^{97} + 435866q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.69684 + 3.28907i −0.712105 + 0.411134i −0.811840 0.583880i \(-0.801534\pi\)
0.0997347 + 0.995014i \(0.468201\pi\)
\(3\) 2.79228 + 26.8552i 0.103418 + 0.994638i
\(4\) −10.3640 + 17.9510i −0.161937 + 0.280484i
\(5\) 57.4599 33.1745i 0.459679 0.265396i −0.252230 0.967667i \(-0.581164\pi\)
0.711909 + 0.702271i \(0.247831\pi\)
\(6\) −104.236 143.806i −0.482574 0.665769i
\(7\) −329.948 + 93.7191i −0.961948 + 0.273234i
\(8\) 557.353i 1.08858i
\(9\) −713.406 + 149.974i −0.978610 + 0.205726i
\(10\) −218.227 + 377.979i −0.218227 + 0.377979i
\(11\) −603.143 348.225i −0.453150 0.261626i 0.256010 0.966674i \(-0.417592\pi\)
−0.709160 + 0.705048i \(0.750925\pi\)
\(12\) −511.016 228.203i −0.295727 0.132062i
\(13\) −824.771 −0.375408 −0.187704 0.982226i \(-0.560105\pi\)
−0.187704 + 0.982226i \(0.560105\pi\)
\(14\) 1571.41 1619.13i 0.572672 0.590061i
\(15\) 1051.35 + 1450.47i 0.311512 + 0.429768i
\(16\) 1169.88 + 2026.29i 0.285615 + 0.494700i
\(17\) 4784.05 + 2762.07i 0.973752 + 0.562196i 0.900378 0.435108i \(-0.143290\pi\)
0.0733743 + 0.997304i \(0.476623\pi\)
\(18\) 3570.89 3200.83i 0.612292 0.548839i
\(19\) 2527.23 + 4377.29i 0.368454 + 0.638182i 0.989324 0.145732i \(-0.0465538\pi\)
−0.620870 + 0.783914i \(0.713220\pi\)
\(20\) 1375.28i 0.171910i
\(21\) −3438.15 8599.14i −0.371251 0.928533i
\(22\) 4581.35 0.430254
\(23\) −17221.4 + 9942.79i −1.41542 + 0.817193i −0.995892 0.0905491i \(-0.971138\pi\)
−0.419528 + 0.907742i \(0.637804\pi\)
\(24\) 14967.8 1556.28i 1.08274 0.112578i
\(25\) −5611.41 + 9719.25i −0.359130 + 0.622032i
\(26\) 4698.59 2712.73i 0.267330 0.154343i
\(27\) −6019.63 18739.9i −0.305829 0.952087i
\(28\) 1737.23 6894.19i 0.0791377 0.314057i
\(29\) 23408.7i 0.959805i −0.877322 0.479902i \(-0.840672\pi\)
0.877322 0.479902i \(-0.159328\pi\)
\(30\) −10760.1 4805.10i −0.398521 0.177967i
\(31\) −23180.0 + 40149.0i −0.778088 + 1.34769i 0.154954 + 0.987922i \(0.450477\pi\)
−0.933042 + 0.359767i \(0.882856\pi\)
\(32\) 17562.4 + 10139.7i 0.535962 + 0.309438i
\(33\) 7667.51 17169.9i 0.213360 0.477777i
\(34\) −36338.6 −0.924552
\(35\) −15849.7 + 16330.9i −0.369672 + 0.380897i
\(36\) 4701.55 14360.7i 0.100771 0.307799i
\(37\) 24177.8 + 41877.2i 0.477323 + 0.826747i 0.999662 0.0259906i \(-0.00827401\pi\)
−0.522340 + 0.852738i \(0.674941\pi\)
\(38\) −28794.4 16624.5i −0.524757 0.302968i
\(39\) −2302.99 22149.4i −0.0388238 0.373395i
\(40\) −18489.9 32025.4i −0.288905 0.500397i
\(41\) 15904.7i 0.230767i 0.993321 + 0.115384i \(0.0368097\pi\)
−0.993321 + 0.115384i \(0.963190\pi\)
\(42\) 47869.8 + 37679.6i 0.646121 + 0.508579i
\(43\) 21757.0 0.273649 0.136824 0.990595i \(-0.456310\pi\)
0.136824 + 0.990595i \(0.456310\pi\)
\(44\) 12501.9 7217.99i 0.146764 0.0847341i
\(45\) −36016.9 + 32284.4i −0.395247 + 0.354287i
\(46\) 65405.1 113285.i 0.671952 1.16386i
\(47\) 33042.5 19077.1i 0.318258 0.183747i −0.332358 0.943153i \(-0.607844\pi\)
0.650616 + 0.759407i \(0.274511\pi\)
\(48\) −51149.9 + 37075.4i −0.462510 + 0.335245i
\(49\) 100082. 61844.9i 0.850687 0.525673i
\(50\) 73825.4i 0.590603i
\(51\) −60817.6 + 136189.i −0.458479 + 1.02667i
\(52\) 8547.91 14805.4i 0.0607925 0.105296i
\(53\) 193312. + 111609.i 1.29847 + 0.749670i 0.980139 0.198310i \(-0.0635454\pi\)
0.318328 + 0.947981i \(0.396879\pi\)
\(54\) 95929.8 + 86959.4i 0.609218 + 0.552249i
\(55\) −46208.7 −0.277738
\(56\) 52234.6 + 183898.i 0.297437 + 1.04716i
\(57\) −110496. + 80091.9i −0.596655 + 0.432478i
\(58\) 76992.9 + 133356.i 0.394609 + 0.683482i
\(59\) −271755. 156898.i −1.32319 0.763944i −0.338953 0.940803i \(-0.610073\pi\)
−0.984236 + 0.176860i \(0.943406\pi\)
\(60\) −36933.4 + 3840.16i −0.170988 + 0.0177785i
\(61\) −126472. 219056.i −0.557192 0.965085i −0.997729 0.0673504i \(-0.978545\pi\)
0.440538 0.897734i \(-0.354788\pi\)
\(62\) 304963.i 1.27959i
\(63\) 221332. 116344.i 0.885160 0.465287i
\(64\) −283145. −1.08011
\(65\) −47391.2 + 27361.3i −0.172567 + 0.0996316i
\(66\) 12792.4 + 123033.i 0.0444959 + 0.427947i
\(67\) 82947.6 143669.i 0.275791 0.477683i −0.694544 0.719451i \(-0.744394\pi\)
0.970334 + 0.241767i \(0.0777270\pi\)
\(68\) −99163.6 + 57252.1i −0.315374 + 0.182081i
\(69\) −315103. 434722.i −0.959191 1.32332i
\(70\) 36579.5 145166.i 0.106646 0.423223i
\(71\) 298965.i 0.835307i 0.908606 + 0.417653i \(0.137147\pi\)
−0.908606 + 0.417653i \(0.862853\pi\)
\(72\) 83588.7 + 397619.i 0.223950 + 1.06530i
\(73\) −2216.28 + 3838.71i −0.00569714 + 0.00986773i −0.868860 0.495058i \(-0.835147\pi\)
0.863163 + 0.504926i \(0.168480\pi\)
\(74\) −275474. 159045.i −0.679808 0.392487i
\(75\) −276681. 123557.i −0.655837 0.292875i
\(76\) −104769. −0.238666
\(77\) 231641. + 58370.1i 0.507392 + 0.127855i
\(78\) 85970.8 + 118607.i 0.181162 + 0.249935i
\(79\) 310276. + 537413.i 0.629313 + 1.09000i 0.987690 + 0.156425i \(0.0499969\pi\)
−0.358377 + 0.933577i \(0.616670\pi\)
\(80\) 134442. + 77620.3i 0.262583 + 0.151602i
\(81\) 486456. 213985.i 0.915353 0.402651i
\(82\) −52311.7 90606.6i −0.0948762 0.164330i
\(83\) 414931.i 0.725674i 0.931853 + 0.362837i \(0.118192\pi\)
−0.931853 + 0.362837i \(0.881808\pi\)
\(84\) 189996. + 27403.2i 0.320558 + 0.0462343i
\(85\) 366521. 0.596818
\(86\) −123946. + 71560.3i −0.194867 + 0.112506i
\(87\) 628645. 65363.5i 0.954658 0.0992608i
\(88\) −194084. + 336164.i −0.284801 + 0.493290i
\(89\) 649685. 375096.i 0.921580 0.532074i 0.0374412 0.999299i \(-0.488079\pi\)
0.884139 + 0.467224i \(0.154746\pi\)
\(90\) 98996.9 302381.i 0.135798 0.414789i
\(91\) 272131. 77296.8i 0.361123 0.102574i
\(92\) 412188.i 0.529336i
\(93\) −1.14293e6 510398.i −1.42093 0.634541i
\(94\) −125492. + 217359.i −0.151089 + 0.261694i
\(95\) 290428. + 167679.i 0.338741 + 0.195572i
\(96\) −223264. + 499955.i −0.252351 + 0.565089i
\(97\) 212245. 0.232553 0.116276 0.993217i \(-0.462904\pi\)
0.116276 + 0.993217i \(0.462904\pi\)
\(98\) −366742. + 681499.i −0.389657 + 0.724081i
\(99\) 482511. + 157970.i 0.497281 + 0.162805i
\(100\) −116313. 201460.i −0.116313 0.201460i
\(101\) −1.27401e6 735552.i −1.23654 0.713920i −0.268159 0.963375i \(-0.586415\pi\)
−0.968386 + 0.249455i \(0.919748\pi\)
\(102\) −101467. 975882.i −0.0956151 0.919595i
\(103\) 372502. + 645192.i 0.340892 + 0.590442i 0.984599 0.174830i \(-0.0559377\pi\)
−0.643707 + 0.765272i \(0.722604\pi\)
\(104\) 459688.i 0.408661i
\(105\) −482828. 380047.i −0.417085 0.328298i
\(106\) −1.46836e6 −1.23286
\(107\) 1.33788e6 772428.i 1.09211 0.630531i 0.157974 0.987443i \(-0.449504\pi\)
0.934138 + 0.356912i \(0.116170\pi\)
\(108\) 398787. + 86162.2i 0.316570 + 0.0683984i
\(109\) −958591. + 1.66033e6i −0.740208 + 1.28208i 0.212192 + 0.977228i \(0.431940\pi\)
−0.952400 + 0.304850i \(0.901394\pi\)
\(110\) 263244. 151984.i 0.197779 0.114188i
\(111\) −1.05711e6 + 766234.i −0.772950 + 0.560263i
\(112\) −575902. 558931.i −0.409916 0.397836i
\(113\) 1.61984e6i 1.12263i −0.827601 0.561317i \(-0.810295\pi\)
0.827601 0.561317i \(-0.189705\pi\)
\(114\) 366052. 819702.i 0.247075 0.553275i
\(115\) −659694. + 1.14262e6i −0.433759 + 0.751293i
\(116\) 420208. + 242607.i 0.269209 + 0.155428i
\(117\) 588397. 123695.i 0.367378 0.0772312i
\(118\) 2.06420e6 1.25633
\(119\) −1.83735e6 462983.i −1.09031 0.274742i
\(120\) 808421. 585974.i 0.467836 0.339105i
\(121\) −643260. 1.11416e6i −0.363103 0.628913i
\(122\) 1.44098e6 + 831951.i 0.793559 + 0.458161i
\(123\) −427124. + 44410.3i −0.229530 + 0.0238654i
\(124\) −480475. 832207.i −0.252003 0.436482i
\(125\) 1.78132e6i 0.912038i
\(126\) −878229. + 1.39077e6i −0.439032 + 0.695253i
\(127\) 2.34506e6 1.14484 0.572418 0.819962i \(-0.306005\pi\)
0.572418 + 0.819962i \(0.306005\pi\)
\(128\) 489039. 282347.i 0.233192 0.134634i
\(129\) 60751.5 + 584289.i 0.0283001 + 0.272181i
\(130\) 179987. 311746.i 0.0819239 0.141896i
\(131\) −3.22497e6 + 1.86194e6i −1.43454 + 0.828229i −0.997462 0.0711964i \(-0.977318\pi\)
−0.437073 + 0.899426i \(0.643985\pi\)
\(132\) 228750. + 315588.i 0.0994578 + 0.137214i
\(133\) −1.24409e6 1.20743e6i −0.528806 0.513223i
\(134\) 1.09128e6i 0.453548i
\(135\) −967574. 877095.i −0.393263 0.356488i
\(136\) 1.53945e6 2.66640e6i 0.611996 1.06001i
\(137\) 66461.5 + 38371.6i 0.0258469 + 0.0149227i 0.512868 0.858468i \(-0.328583\pi\)
−0.487021 + 0.873390i \(0.661916\pi\)
\(138\) 3.22492e6 + 1.44015e6i 1.22711 + 0.547986i
\(139\) 4.61947e6 1.72008 0.860038 0.510230i \(-0.170440\pi\)
0.860038 + 0.510230i \(0.170440\pi\)
\(140\) −128890. 453771.i −0.0469715 0.165368i
\(141\) 604584. + 834096.i 0.215675 + 0.297549i
\(142\) −983319. 1.70316e6i −0.343423 0.594826i
\(143\) 497455. + 287205.i 0.170116 + 0.0982165i
\(144\) −1.13849e6 1.27012e6i −0.381279 0.425360i
\(145\) −776570. 1.34506e6i −0.254728 0.441202i
\(146\) 29158.1i 0.00936915i
\(147\) 1.94032e6 + 2.51505e6i 0.610830 + 0.791762i
\(148\) −1.00231e6 −0.309185
\(149\) 1.08263e6 625060.i 0.327283 0.188957i −0.327351 0.944903i \(-0.606156\pi\)
0.654634 + 0.755946i \(0.272823\pi\)
\(150\) 1.98260e6 206141.i 0.587436 0.0610788i
\(151\) −2.72866e6 + 4.72617e6i −0.792534 + 1.37271i 0.131859 + 0.991268i \(0.457905\pi\)
−0.924393 + 0.381441i \(0.875428\pi\)
\(152\) 2.43970e6 1.40856e6i 0.694712 0.401092i
\(153\) −3.82721e6 1.25299e6i −1.06858 0.349844i
\(154\) −1.51161e6 + 429360.i −0.413882 + 0.117560i
\(155\) 3.07594e6i 0.826005i
\(156\) 421471. + 188215.i 0.111018 + 0.0495771i
\(157\) 1.44836e6 2.50863e6i 0.374263 0.648243i −0.615953 0.787783i \(-0.711229\pi\)
0.990216 + 0.139540i \(0.0445623\pi\)
\(158\) −3.53519e6 2.04104e6i −0.896274 0.517464i
\(159\) −2.45750e6 + 5.50308e6i −0.611366 + 1.36903i
\(160\) 1.34551e6 0.328494
\(161\) 4.75034e6 4.89458e6i 1.13828 1.17284i
\(162\) −2.06745e6 + 2.81903e6i −0.486284 + 0.663063i
\(163\) 244572. + 423611.i 0.0564734 + 0.0978149i 0.892880 0.450295i \(-0.148681\pi\)
−0.836407 + 0.548109i \(0.815348\pi\)
\(164\) −285504. 164836.i −0.0647264 0.0373698i
\(165\) −129027. 1.24094e6i −0.0287230 0.276249i
\(166\) −1.36474e6 2.36380e6i −0.298349 0.516756i
\(167\) 2.69550e6i 0.578749i −0.957216 0.289375i \(-0.906553\pi\)
0.957216 0.289375i \(-0.0934473\pi\)
\(168\) −4.79276e6 + 1.91627e6i −1.01078 + 0.404136i
\(169\) −4.14656e6 −0.859069
\(170\) −2.08801e6 + 1.20551e6i −0.424997 + 0.245372i
\(171\) −2.45942e6 2.74377e6i −0.491864 0.548730i
\(172\) −225489. + 390559.i −0.0443139 + 0.0767540i
\(173\) −546938. + 315775.i −0.105633 + 0.0609873i −0.551886 0.833920i \(-0.686092\pi\)
0.446253 + 0.894907i \(0.352758\pi\)
\(174\) −3.36631e6 + 2.44003e6i −0.639008 + 0.463177i
\(175\) 940595. 3.73274e6i 0.175505 0.696488i
\(176\) 1.62953e6i 0.298898i
\(177\) 3.45471e6 7.73615e6i 0.623006 1.39510i
\(178\) −2.46744e6 + 4.27373e6i −0.437508 + 0.757786i
\(179\) −1.23874e6 715187.i −0.215984 0.124698i 0.388105 0.921615i \(-0.373130\pi\)
−0.604089 + 0.796917i \(0.706463\pi\)
\(180\) −206257. 981133.i −0.0353664 0.168233i
\(181\) 3.92186e6 0.661388 0.330694 0.943738i \(-0.392717\pi\)
0.330694 + 0.943738i \(0.392717\pi\)
\(182\) −1.29606e6 + 1.33541e6i −0.214986 + 0.221513i
\(183\) 5.52965e6 4.00810e6i 0.902286 0.654011i
\(184\) 5.54165e6 + 9.59841e6i 0.889580 + 1.54080i
\(185\) 2.77851e6 + 1.60417e6i 0.438830 + 0.253359i
\(186\) 8.18986e6 851542.i 1.27273 0.132333i
\(187\) −1.92364e6 3.33185e6i −0.294171 0.509519i
\(188\) 790860.i 0.119022i
\(189\) 3.74245e6 + 5.61905e6i 0.554333 + 0.832295i
\(190\) −2.20603e6 −0.321626
\(191\) −410709. + 237123.i −0.0589432 + 0.0340309i −0.529182 0.848508i \(-0.677501\pi\)
0.470239 + 0.882539i \(0.344168\pi\)
\(192\) −790619. 7.60392e6i −0.111703 1.07432i
\(193\) 109690. 189988.i 0.0152579 0.0264274i −0.858296 0.513156i \(-0.828476\pi\)
0.873554 + 0.486728i \(0.161810\pi\)
\(194\) −1.20912e6 + 698088.i −0.165602 + 0.0956104i
\(195\) −867124. 1.19630e6i −0.116944 0.161338i
\(196\) 72921.1 + 2.43753e6i 0.00968468 + 0.323730i
\(197\) 7.90337e6i 1.03374i 0.856062 + 0.516872i \(0.172904\pi\)
−0.856062 + 0.516872i \(0.827096\pi\)
\(198\) −3.26836e6 + 687085.i −0.421051 + 0.0885146i
\(199\) −4.44349e6 + 7.69635e6i −0.563852 + 0.976620i 0.433304 + 0.901248i \(0.357348\pi\)
−0.997155 + 0.0753721i \(0.975986\pi\)
\(200\) 5.41705e6 + 3.12754e6i 0.677132 + 0.390942i
\(201\) 4.08989e6 + 1.82641e6i 0.503644 + 0.224911i
\(202\) 9.67714e6 1.17407
\(203\) 2.19384e6 + 7.72365e6i 0.262251 + 0.923282i
\(204\) −1.81441e6 2.50320e6i −0.213720 0.294852i
\(205\) 527630. + 913882.i 0.0612446 + 0.106079i
\(206\) −4.24417e6 2.45037e6i −0.485502 0.280304i
\(207\) 1.07947e7 9.67602e6i 1.21703 1.09090i
\(208\) −964883. 1.67123e6i −0.107222 0.185714i
\(209\) 3.52017e6i 0.385589i
\(210\) 4.00060e6 + 577009.i 0.431983 + 0.0623053i
\(211\) 3.95802e6 0.421337 0.210669 0.977558i \(-0.432436\pi\)
0.210669 + 0.977558i \(0.432436\pi\)
\(212\) −4.00696e6 + 2.31342e6i −0.420540 + 0.242799i
\(213\) −8.02878e6 + 834794.i −0.830828 + 0.0863855i
\(214\) −5.08114e6 + 8.80080e6i −0.518466 + 0.898009i
\(215\) 1.25015e6 721776.i 0.125791 0.0726252i
\(216\) −1.04448e7 + 3.35506e6i −1.03642 + 0.332919i
\(217\) 3.88548e6 1.54195e7i 0.380246 1.50901i
\(218\) 1.26115e7i 1.21730i
\(219\) −109278. 48800.0i −0.0104040 0.00464609i
\(220\) 478906. 829490.i 0.0449762 0.0779010i
\(221\) −3.94574e6 2.27807e6i −0.365554 0.211053i
\(222\) 3.50200e6 7.84203e6i 0.320079 0.716753i
\(223\) −2.07065e7 −1.86720 −0.933601 0.358313i \(-0.883352\pi\)
−0.933601 + 0.358313i \(0.883352\pi\)
\(224\) −6.74496e6 1.69963e6i −0.600116 0.151220i
\(225\) 2.54558e6 7.77534e6i 0.223480 0.682609i
\(226\) 5.32779e6 + 9.22800e6i 0.461553 + 0.799433i
\(227\) 4.71060e6 + 2.71967e6i 0.402716 + 0.232508i 0.687655 0.726038i \(-0.258640\pi\)
−0.284939 + 0.958546i \(0.591973\pi\)
\(228\) −292543. 2.81359e6i −0.0246823 0.237386i
\(229\) 636788. + 1.10295e6i 0.0530259 + 0.0918436i 0.891320 0.453375i \(-0.149780\pi\)
−0.838294 + 0.545218i \(0.816447\pi\)
\(230\) 8.67912e6i 0.713333i
\(231\) −920735. + 6.38376e6i −0.0746962 + 0.517894i
\(232\) −1.30469e7 −1.04482
\(233\) −1.16591e7 + 6.73138e6i −0.921716 + 0.532153i −0.884182 0.467142i \(-0.845284\pi\)
−0.0375341 + 0.999295i \(0.511950\pi\)
\(234\) −2.94516e6 + 2.63995e6i −0.229859 + 0.206038i
\(235\) 1.26575e6 2.19234e6i 0.0975311 0.168929i
\(236\) 5.63294e6 3.25218e6i 0.428547 0.247422i
\(237\) −1.35660e7 + 9.83313e6i −1.01908 + 0.738664i
\(238\) 1.19899e7 3.40562e6i 0.889371 0.252619i
\(239\) 1.37101e6i 0.100426i 0.998739 + 0.0502132i \(0.0159901\pi\)
−0.998739 + 0.0502132i \(0.984010\pi\)
\(240\) −1.70911e6 + 3.82722e6i −0.123634 + 0.276853i
\(241\) −6.49292e6 + 1.12461e7i −0.463862 + 0.803432i −0.999149 0.0412376i \(-0.986870\pi\)
0.535287 + 0.844670i \(0.320203\pi\)
\(242\) 7.32910e6 + 4.23146e6i 0.517136 + 0.298568i
\(243\) 7.10495e6 + 1.24664e7i 0.495156 + 0.868804i
\(244\) 5.24301e6 0.360921
\(245\) 3.69905e6 6.87378e6i 0.251531 0.467409i
\(246\) 2.28719e6 1.65784e6i 0.153637 0.111362i
\(247\) −2.08438e6 3.61026e6i −0.138321 0.239578i
\(248\) 2.23772e7 + 1.29195e7i 1.46707 + 0.847011i
\(249\) −1.11431e7 + 1.15860e6i −0.721783 + 0.0750475i
\(250\) −5.85891e6 1.01479e7i −0.374970 0.649467i
\(251\) 1.87672e7i 1.18680i −0.804907 0.593401i \(-0.797785\pi\)
0.804907 0.593401i \(-0.202215\pi\)
\(252\) −205399. + 5.17890e6i −0.0128350 + 0.323620i
\(253\) 1.38493e7 0.855197
\(254\) −1.33595e7 + 7.71309e6i −0.815244 + 0.470681i
\(255\) 1.02343e6 + 9.84300e6i 0.0617215 + 0.593618i
\(256\) 7.20332e6 1.24765e7i 0.429351 0.743658i
\(257\) 7.23297e6 4.17596e6i 0.426105 0.246012i −0.271581 0.962416i \(-0.587546\pi\)
0.697686 + 0.716404i \(0.254213\pi\)
\(258\) −2.26786e6 3.12878e6i −0.132056 0.182187i
\(259\) −1.19021e7 1.15514e7i −0.685054 0.664867i
\(260\) 1.13429e6i 0.0645363i
\(261\) 3.51070e6 + 1.66999e7i 0.197457 + 0.939274i
\(262\) 1.22481e7 2.12143e7i 0.681027 1.17957i
\(263\) 5.57378e6 + 3.21803e6i 0.306396 + 0.176898i 0.645313 0.763919i \(-0.276727\pi\)
−0.338917 + 0.940816i \(0.610060\pi\)
\(264\) −9.56969e6 4.27351e6i −0.520099 0.232259i
\(265\) 1.48102e7 0.795837
\(266\) 1.10587e7 + 2.78663e6i 0.587570 + 0.148059i
\(267\) 1.18874e7 + 1.64001e7i 0.624529 + 0.861613i
\(268\) 1.71934e6 + 2.97798e6i 0.0893216 + 0.154710i
\(269\) −2.66372e7 1.53790e7i −1.36846 0.790080i −0.377728 0.925917i \(-0.623295\pi\)
−0.990731 + 0.135836i \(0.956628\pi\)
\(270\) 8.39695e6 + 1.81425e6i 0.426609 + 0.0921736i
\(271\) −2.63106e6 4.55713e6i −0.132197 0.228973i 0.792326 0.610098i \(-0.208870\pi\)
−0.924523 + 0.381125i \(0.875537\pi\)
\(272\) 1.29252e7i 0.642287i
\(273\) 2.83569e6 + 7.09232e6i 0.139370 + 0.348578i
\(274\) −504828. −0.0245410
\(275\) 6.76896e6 3.90806e6i 0.325480 0.187916i
\(276\) 1.10694e7 1.15094e6i 0.526498 0.0547427i
\(277\) −369234. + 639531.i −0.0173725 + 0.0300900i −0.874581 0.484880i \(-0.838863\pi\)
0.857208 + 0.514970i \(0.172197\pi\)
\(278\) −2.63164e7 + 1.51938e7i −1.22488 + 0.707182i
\(279\) 1.05155e7 3.21189e7i 0.484190 1.47893i
\(280\) 9.10210e6 + 8.83387e6i 0.414636 + 0.402418i
\(281\) 2.15513e7i 0.971300i 0.874153 + 0.485650i \(0.161417\pi\)
−0.874153 + 0.485650i \(0.838583\pi\)
\(282\) −6.18762e6 2.76319e6i −0.275916 0.123215i
\(283\) 2.00616e6 3.47477e6i 0.0885128 0.153309i −0.818370 0.574692i \(-0.805122\pi\)
0.906883 + 0.421383i \(0.138455\pi\)
\(284\) −5.36671e6 3.09847e6i −0.234290 0.135267i
\(285\) −3.69210e6 + 8.26773e6i −0.159492 + 0.357151i
\(286\) −3.77856e6 −0.161521
\(287\) −1.49057e6 5.24772e6i −0.0630533 0.221986i
\(288\) −1.40498e7 4.59978e6i −0.588157 0.192557i
\(289\) 3.18928e6 + 5.52399e6i 0.132129 + 0.228854i
\(290\) 8.84800e6 + 5.10839e6i 0.362786 + 0.209455i
\(291\) 592646. + 5.69988e6i 0.0240501 + 0.231306i
\(292\) −45939.0 79568.8i −0.00184516 0.00319591i
\(293\) 3.06845e7i 1.21988i 0.792448 + 0.609940i \(0.208806\pi\)
−0.792448 + 0.609940i \(0.791194\pi\)
\(294\) −1.93259e7 7.94600e6i −0.760496 0.312685i
\(295\) −2.08200e7 −0.810990
\(296\) 2.33404e7 1.34756e7i 0.899980 0.519604i
\(297\) −2.89501e6 + 1.33990e7i −0.110505 + 0.511451i
\(298\) −4.11173e6 + 7.12173e6i −0.155373 + 0.269114i
\(299\) 1.42037e7 8.20052e6i 0.531360 0.306781i
\(300\) 5.08548e6 3.68615e6i 0.188351 0.136524i
\(301\) −7.17867e6 + 2.03905e6i −0.263236 + 0.0747700i
\(302\) 3.58990e7i 1.30335i
\(303\) 1.61960e7 3.62678e7i 0.582211 1.30375i
\(304\) −5.91311e6 + 1.02418e7i −0.210472 + 0.364549i
\(305\) −1.45341e7 8.39128e6i −0.512259 0.295753i
\(306\) 2.59242e7 5.44986e6i 0.904776 0.190205i
\(307\) −7.56198e6 −0.261349 −0.130674 0.991425i \(-0.541714\pi\)
−0.130674 + 0.991425i \(0.541714\pi\)
\(308\) −3.44852e6 + 3.55323e6i −0.118027 + 0.121611i
\(309\) −1.62866e7 + 1.18052e7i −0.552022 + 0.400126i
\(310\) −1.01170e7 1.75231e7i −0.339599 0.588203i
\(311\) −4.11760e7 2.37730e7i −1.36887 0.790319i −0.378089 0.925769i \(-0.623419\pi\)
−0.990784 + 0.135450i \(0.956752\pi\)
\(312\) −1.23450e7 + 1.28358e6i −0.406470 + 0.0422628i
\(313\) 1.45386e7 + 2.51816e7i 0.474121 + 0.821201i 0.999561 0.0296294i \(-0.00943270\pi\)
−0.525440 + 0.850831i \(0.676099\pi\)
\(314\) 1.90550e7i 0.615490i
\(315\) 8.85805e6 1.40276e7i 0.283404 0.448800i
\(316\) −1.28628e7 −0.407637
\(317\) 2.54469e7 1.46918e7i 0.798834 0.461207i −0.0442294 0.999021i \(-0.514083\pi\)
0.843063 + 0.537814i \(0.180750\pi\)
\(318\) −4.10006e6 3.94331e7i −0.127500 1.22625i
\(319\) −8.15148e6 + 1.41188e7i −0.251110 + 0.434936i
\(320\) −1.62695e7 + 9.39318e6i −0.496505 + 0.286657i
\(321\) 2.44795e7 + 3.37723e7i 0.740094 + 1.02105i
\(322\) −1.09633e7 + 4.35079e7i −0.328379 + 1.30317i
\(323\) 2.79215e7i 0.828575i
\(324\) −1.20038e6 + 1.09501e7i −0.0352927 + 0.321946i
\(325\) 4.62813e6 8.01615e6i 0.134820 0.233515i
\(326\) −2.78658e6 1.60883e6i −0.0804301 0.0464363i
\(327\) −4.72652e7 2.11071e7i −1.35175 0.603650i
\(328\) 8.86453e6 0.251208
\(329\) −9.11443e6 + 9.39117e6i −0.255942 + 0.263713i
\(330\) 4.81661e6 + 6.64509e6i 0.134029 + 0.184909i
\(331\) −1.71441e7 2.96945e7i −0.472749 0.818826i 0.526764 0.850011i \(-0.323405\pi\)
−0.999514 + 0.0311858i \(0.990072\pi\)
\(332\) −7.44840e6 4.30034e6i −0.203540 0.117514i
\(333\) −2.35291e7 2.62494e7i −0.637196 0.710865i
\(334\) 8.86571e6 + 1.53559e7i 0.237944 + 0.412130i
\(335\) 1.10070e7i 0.292775i
\(336\) 1.34021e7 1.70267e7i 0.353310 0.448861i
\(337\) 5.34960e7 1.39776 0.698878 0.715241i \(-0.253683\pi\)
0.698878 + 0.715241i \(0.253683\pi\)
\(338\) 2.36223e7 1.36384e7i 0.611748 0.353193i
\(339\) 4.35013e7 4.52305e6i 1.11661 0.116100i
\(340\) −3.79862e6 + 6.57940e6i −0.0966471 + 0.167398i
\(341\) 2.79617e7 1.61437e7i 0.705182 0.407137i
\(342\) 2.30354e7 + 7.54158e6i 0.575860 + 0.188532i
\(343\) −2.72260e7 + 2.97852e7i −0.674685 + 0.738106i
\(344\) 1.21263e7i 0.297889i
\(345\) −3.25274e7 1.45257e7i −0.792123 0.353736i
\(346\) 2.07721e6 3.59784e6i 0.0501479 0.0868587i
\(347\) 3.17861e7 + 1.83517e7i 0.760762 + 0.439226i 0.829569 0.558404i \(-0.188586\pi\)
−0.0688072 + 0.997630i \(0.521919\pi\)
\(348\) −5.34193e6 + 1.19622e7i −0.126754 + 0.283840i
\(349\) 3.14402e7 0.739620 0.369810 0.929107i \(-0.379423\pi\)
0.369810 + 0.929107i \(0.379423\pi\)
\(350\) 6.91885e6 + 2.43585e7i 0.161373 + 0.568129i
\(351\) 4.96481e6 + 1.54561e7i 0.114810 + 0.357421i
\(352\) −7.06176e6 1.22313e7i −0.161914 0.280443i
\(353\) 2.35735e7 + 1.36102e7i 0.535920 + 0.309414i 0.743424 0.668820i \(-0.233201\pi\)
−0.207503 + 0.978234i \(0.566534\pi\)
\(354\) 5.76381e6 + 5.54345e7i 0.129927 + 1.24960i
\(355\) 9.91802e6 + 1.71785e7i 0.221687 + 0.383973i
\(356\) 1.55500e7i 0.344651i
\(357\) 7.30314e6 5.06351e7i 0.160511 1.11288i
\(358\) 9.40921e6 0.205071
\(359\) 3.24692e7 1.87461e7i 0.701760 0.405162i −0.106242 0.994340i \(-0.533882\pi\)
0.808003 + 0.589179i \(0.200549\pi\)
\(360\) 1.79938e7 + 2.00741e7i 0.385670 + 0.430258i
\(361\) 1.07492e7 1.86181e7i 0.228483 0.395744i
\(362\) −2.23422e7 + 1.28993e7i −0.470978 + 0.271919i
\(363\) 2.81248e7 2.03859e7i 0.587990 0.426197i
\(364\) −1.43282e6 + 5.68612e6i −0.0297089 + 0.117899i
\(365\) 294096.i 0.00604798i
\(366\) −1.83186e7 + 4.10209e7i −0.373637 + 0.836686i
\(367\) 1.03822e6 1.79824e6i 0.0210034 0.0363789i −0.855333 0.518079i \(-0.826647\pi\)
0.876336 + 0.481700i \(0.159981\pi\)
\(368\) −4.02940e7 2.32638e7i −0.808531 0.466806i
\(369\) −2.38530e6 1.13465e7i −0.0474748 0.225831i
\(370\) −2.11050e7 −0.416658
\(371\) −7.42428e7 1.87080e7i −1.45389 0.366359i
\(372\) 2.10075e7 1.52270e7i 0.408080 0.295792i
\(373\) −5.00434e6 8.66777e6i −0.0964318 0.167025i 0.813773 0.581182i \(-0.197410\pi\)
−0.910205 + 0.414157i \(0.864076\pi\)
\(374\) 2.19174e7 + 1.26540e7i 0.418961 + 0.241887i
\(375\) −4.78379e7 + 4.97395e6i −0.907148 + 0.0943208i
\(376\) −1.06327e7 1.84164e7i −0.200023 0.346450i
\(377\) 1.93068e7i 0.360318i
\(378\) −3.98016e7 1.97016e7i −0.736929 0.364776i
\(379\) 3.16574e7 0.581511 0.290755 0.956797i \(-0.406093\pi\)
0.290755 + 0.956797i \(0.406093\pi\)
\(380\) −6.01999e6 + 3.47564e6i −0.109710 + 0.0633409i
\(381\) 6.54807e6 + 6.29772e7i 0.118396 + 1.13870i
\(382\) 1.55983e6 2.70170e6i 0.0279825 0.0484672i
\(383\) 7.81038e6 4.50932e6i 0.139020 0.0802629i −0.428877 0.903363i \(-0.641091\pi\)
0.567897 + 0.823100i \(0.307757\pi\)
\(384\) 8.94802e6 + 1.23449e7i 0.158028 + 0.218018i
\(385\) 1.52465e7 4.33064e6i 0.267170 0.0758874i
\(386\) 1.44311e6i 0.0250922i
\(387\) −1.55216e7 + 3.26299e6i −0.267795 + 0.0562967i
\(388\) −2.19970e6 + 3.80999e6i −0.0376589 + 0.0652272i
\(389\) 6.99549e6 + 4.03885e6i 0.118842 + 0.0686134i 0.558243 0.829678i \(-0.311476\pi\)
−0.439401 + 0.898291i \(0.644809\pi\)
\(390\) 8.87459e6 + 3.96311e6i 0.149608 + 0.0668100i
\(391\) −1.09851e8 −1.83769
\(392\) −3.44694e7 5.57813e7i −0.572237 0.926041i
\(393\) −5.90077e7 8.14082e7i −0.972145 1.34119i
\(394\) −2.59948e7 4.50242e7i −0.425008 0.736135i
\(395\) 3.56568e7 + 2.05865e7i 0.578564 + 0.334034i
\(396\) −7.83644e6 + 7.02433e6i −0.126192 + 0.113115i
\(397\) 2.40751e7 + 4.16992e7i 0.384765 + 0.666433i 0.991737 0.128291i \(-0.0409490\pi\)
−0.606971 + 0.794724i \(0.707616\pi\)
\(398\) 5.84599e7i 0.927275i
\(399\) 2.89519e7 3.67818e7i 0.455783 0.579047i
\(400\) −2.62587e7 −0.410292
\(401\) −8.72146e7 + 5.03534e7i −1.35256 + 0.780900i −0.988607 0.150518i \(-0.951906\pi\)
−0.363951 + 0.931418i \(0.618572\pi\)
\(402\) −2.93067e7 + 3.04717e6i −0.451116 + 0.0469049i
\(403\) 1.91182e7 3.31137e7i 0.292100 0.505932i
\(404\) 2.64077e7 1.52465e7i 0.400485 0.231220i
\(405\) 2.08529e7 2.84335e7i 0.313907 0.428021i
\(406\) −3.79016e7 3.67847e7i −0.566343 0.549654i
\(407\) 3.36773e7i 0.499521i
\(408\) 7.59054e7 + 3.38969e7i 1.11762 + 0.499091i
\(409\) 2.83875e7 4.91687e7i 0.414914 0.718652i −0.580506 0.814256i \(-0.697145\pi\)
0.995419 + 0.0956046i \(0.0304784\pi\)
\(410\) −6.01165e6 3.47083e6i −0.0872252 0.0503595i
\(411\) −844898. + 1.89198e6i −0.0121697 + 0.0272516i
\(412\) −1.54424e7 −0.220812
\(413\) 1.04369e8 + 2.62995e7i 1.48157 + 0.373334i
\(414\) −2.96706e7 + 9.06274e7i −0.418143 + 1.27720i
\(415\) 1.37651e7 + 2.38419e7i 0.192591 + 0.333577i
\(416\) −1.44849e7 8.36289e6i −0.201204 0.116165i
\(417\) 1.28988e7 + 1.24057e8i 0.177886 + 1.71085i
\(418\) 1.15781e7 + 2.00539e7i 0.158529 + 0.274580i
\(419\) 4.76327e7i 0.647535i 0.946137 + 0.323767i \(0.104950\pi\)
−0.946137 + 0.323767i \(0.895050\pi\)
\(420\) 1.18262e7 4.72842e6i 0.159624 0.0638217i
\(421\) 4.52744e7 0.606745 0.303373 0.952872i \(-0.401887\pi\)
0.303373 + 0.952872i \(0.401887\pi\)
\(422\) −2.25482e7 + 1.30182e7i −0.300037 + 0.173226i
\(423\) −2.07117e7 + 1.85653e7i −0.273649 + 0.245290i
\(424\) 6.22054e7 1.07743e8i 0.816076 1.41349i
\(425\) −5.36905e7 + 3.09982e7i −0.699408 + 0.403803i
\(426\) 4.29930e7 3.11630e7i 0.556121 0.403097i
\(427\) 6.22589e7 + 6.04242e7i 0.799683 + 0.776117i
\(428\) 3.20217e7i 0.408426i
\(429\) −6.32394e6 + 1.41612e7i −0.0800969 + 0.179361i
\(430\) −4.74795e6 + 8.22369e6i −0.0597174 + 0.103434i
\(431\) 3.09039e7 + 1.78424e7i 0.385995 + 0.222855i 0.680424 0.732819i \(-0.261796\pi\)
−0.294428 + 0.955674i \(0.595129\pi\)
\(432\) 3.09303e7 3.41210e7i 0.383648 0.423224i
\(433\) −4.90389e7 −0.604056 −0.302028 0.953299i \(-0.597664\pi\)
−0.302028 + 0.953299i \(0.597664\pi\)
\(434\) 2.85809e7 + 1.00622e8i 0.349628 + 1.23090i
\(435\) 3.39535e7 2.46107e7i 0.412493 0.298990i
\(436\) −1.98697e7 3.44153e7i −0.239735 0.415233i
\(437\) −8.70449e7 5.02554e7i −1.04304 0.602197i
\(438\) 783047. 81417.4i 0.00931891 0.000968936i
\(439\) −1.80621e6 3.12844e6i −0.0213488 0.0369772i 0.855154 0.518375i \(-0.173463\pi\)
−0.876502 + 0.481397i \(0.840129\pi\)
\(440\) 2.57546e7i 0.302340i
\(441\) −6.21243e7 + 5.91303e7i −0.724346 + 0.689437i
\(442\) 2.99710e7 0.347084
\(443\) −6.88023e6 + 3.97230e6i −0.0791392 + 0.0456911i −0.539047 0.842275i \(-0.681216\pi\)
0.459908 + 0.887966i \(0.347882\pi\)
\(444\) −2.79874e6 2.69174e7i −0.0319752 0.307527i
\(445\) 2.48872e7 4.31059e7i 0.282421 0.489167i
\(446\) 1.17962e8 6.81051e7i 1.32965 0.767671i
\(447\) 1.98091e7 + 2.73291e7i 0.221790 + 0.305986i
\(448\) 9.34231e7 2.65361e7i 1.03901 0.295123i
\(449\) 8.36672e7i 0.924306i −0.886800 0.462153i \(-0.847077\pi\)
0.886800 0.462153i \(-0.152923\pi\)
\(450\) 1.10719e7 + 5.26675e7i 0.121503 + 0.577970i
\(451\) 5.53841e6 9.59280e6i 0.0603747 0.104572i
\(452\) 2.90777e7 + 1.67880e7i 0.314880 + 0.181796i
\(453\) −1.34542e8 6.00819e7i −1.44731 0.646322i
\(454\) −3.57807e7 −0.382368
\(455\) 1.30724e7 1.34693e7i 0.138778 0.142991i
\(456\) 4.46395e7 + 6.15855e7i 0.470787 + 0.649507i
\(457\) 6.93037e7 + 1.20038e8i 0.726119 + 1.25768i 0.958512 + 0.285053i \(0.0920113\pi\)
−0.232392 + 0.972622i \(0.574655\pi\)
\(458\) −7.25536e6 4.18888e6i −0.0755201 0.0436016i
\(459\) 2.29628e7 1.06279e8i 0.237458 1.09903i
\(460\) −1.36741e7 2.36843e7i −0.140484 0.243325i
\(461\) 6.46347e7i 0.659725i −0.944029 0.329862i \(-0.892998\pi\)
0.944029 0.329862i \(-0.107002\pi\)
\(462\) −1.57514e7 3.93956e7i −0.159732 0.399505i
\(463\) −1.21889e8 −1.22807 −0.614035 0.789279i \(-0.710455\pi\)
−0.614035 + 0.789279i \(0.710455\pi\)
\(464\) 4.74328e7 2.73853e7i 0.474816 0.274135i
\(465\) −8.26051e7 + 8.58888e6i −0.821576 + 0.0854235i
\(466\) 4.42800e7 7.66953e7i 0.437573 0.757898i
\(467\) −4.43386e7 + 2.55989e7i −0.435343 + 0.251345i −0.701620 0.712551i \(-0.747540\pi\)
0.266277 + 0.963896i \(0.414206\pi\)
\(468\) −3.87770e6 + 1.18442e7i −0.0378300 + 0.115550i
\(469\) −1.39038e7 + 5.51773e7i −0.134777 + 0.534862i
\(470\) 1.66525e7i 0.160393i
\(471\) 7.14141e7 + 3.18912e7i 0.683472 + 0.305217i
\(472\) −8.74476e7 + 1.51464e8i −0.831614 + 1.44040i
\(473\) −1.31226e7 7.57632e6i −0.124004 0.0715937i
\(474\) 4.49414e7 1.00637e8i 0.421999 0.944983i
\(475\) −5.67253e7 −0.529292
\(476\) 2.73532e7 2.81837e7i 0.253622 0.261323i
\(477\) −1.54648e8 5.06305e7i −1.42492 0.466506i
\(478\) −4.50936e6 7.81045e6i −0.0412887 0.0715142i
\(479\) 1.69759e7 + 9.80106e6i 0.154464 + 0.0891798i 0.575240 0.817985i \(-0.304909\pi\)
−0.420776 + 0.907165i \(0.638242\pi\)
\(480\) 3.75704e6 + 3.61340e7i 0.0339721 + 0.326732i
\(481\) −1.99412e7 3.45391e7i −0.179191 0.310367i
\(482\) 8.54227e7i 0.762838i
\(483\) 1.44709e8 + 1.13905e8i 1.28427 + 1.01088i
\(484\) 2.66669e7 0.235200
\(485\) 1.21955e7 7.04110e6i 0.106900 0.0617185i
\(486\) −8.14787e7 4.76504e7i −0.709798 0.415104i
\(487\) −9.65961e7 + 1.67309e8i −0.836320 + 1.44855i 0.0566307 + 0.998395i \(0.481964\pi\)
−0.892951 + 0.450154i \(0.851369\pi\)
\(488\) −1.22091e8 + 7.04895e7i −1.05057 + 0.606548i
\(489\) −1.06933e7 + 7.75088e6i −0.0914500 + 0.0662864i
\(490\) 1.53544e6 + 5.13253e7i 0.0130511 + 0.436258i
\(491\) 1.00270e8i 0.847085i 0.905876 + 0.423543i \(0.139214\pi\)
−0.905876 + 0.423543i \(0.860786\pi\)
\(492\) 3.62950e6 8.12755e6i 0.0304756 0.0682440i
\(493\) 6.46564e7 1.11988e8i 0.539598 0.934612i
\(494\) 2.37488e7 + 1.37114e7i 0.196998 + 0.113737i
\(495\) 3.29656e7 6.93012e6i 0.271797 0.0571380i
\(496\) −1.08471e8 −0.888936
\(497\) −2.80188e7 9.86431e7i −0.228234 0.803521i
\(498\) 5.96696e7 4.32507e7i 0.483131 0.350191i
\(499\) 4.87188e7 + 8.43834e7i 0.392098 + 0.679134i 0.992726 0.120395i \(-0.0384161\pi\)
−0.600628 + 0.799529i \(0.705083\pi\)
\(500\) −3.19765e7 1.84616e7i −0.255812 0.147693i
\(501\) 7.23883e7 7.52659e6i 0.575646 0.0598529i
\(502\) 6.17267e7 + 1.06914e8i 0.487935 + 0.845128i
\(503\) 1.14370e8i 0.898685i −0.893360 0.449342i \(-0.851658\pi\)
0.893360 0.449342i \(-0.148342\pi\)
\(504\) −6.48445e7 1.23360e8i −0.506502 0.963568i
\(505\) −9.76062e7 −0.757885
\(506\) −7.88973e7 + 4.55514e7i −0.608991 + 0.351601i
\(507\) −1.15784e7 1.11357e8i −0.0888429 0.854463i
\(508\) −2.43042e7 + 4.20961e7i −0.185392 + 0.321108i
\(509\) 7.07146e7 4.08271e7i 0.536236 0.309596i −0.207316 0.978274i \(-0.566473\pi\)
0.743552 + 0.668678i \(0.233140\pi\)
\(510\) −3.82047e7 5.27079e7i −0.288009 0.397343i
\(511\) 371497. 1.47428e6i 0.00278415 0.0110489i
\(512\) 1.30909e8i 0.975351i
\(513\) 6.68171e7 7.37097e7i 0.494920 0.545975i
\(514\) −2.74701e7 + 4.75795e7i −0.202288 + 0.350373i
\(515\) 4.28078e7 + 2.47151e7i 0.313401 + 0.180942i
\(516\) −1.11182e7 4.96501e6i −0.0809252 0.0361386i
\(517\) −2.65725e7 −0.192292
\(518\) 1.05798e8 + 2.66595e7i 0.761180 + 0.191806i
\(519\) −1.00074e7 1.38064e7i −0.0715846 0.0987595i
\(520\) 1.52499e7 + 2.64136e7i 0.108457 + 0.187853i
\(521\) 1.11407e8 + 6.43207e7i 0.787768 + 0.454818i 0.839176 0.543860i \(-0.183038\pi\)
−0.0514085 + 0.998678i \(0.516371\pi\)
\(522\) −7.49271e7 8.35897e7i −0.526778 0.587681i
\(523\) −1.29930e7 2.25046e7i −0.0908250 0.157314i 0.817033 0.576590i \(-0.195617\pi\)
−0.907859 + 0.419277i \(0.862284\pi\)
\(524\) 7.71883e7i 0.536485i
\(525\) 1.02870e8 + 1.48370e7i 0.710904 + 0.102534i
\(526\) −4.23373e7 −0.290915
\(527\) −2.21789e8 + 1.28050e8i −1.51533 + 0.874876i
\(528\) 4.37613e7 4.55009e6i 0.297295 0.0309113i
\(529\) 1.23700e8 2.14255e8i 0.835610 1.44732i
\(530\) −8.43716e7 + 4.87120e7i −0.566720 + 0.327196i
\(531\) 2.17403e8 + 7.11757e7i 1.45205 + 0.475388i
\(532\) 3.45682e7 9.81882e6i 0.229584 0.0652116i
\(533\) 1.31177e7i 0.0866317i
\(534\) −1.21662e8 5.43302e7i −0.798969 0.356794i
\(535\) 5.12498e7 8.87672e7i 0.334681 0.579684i
\(536\) −8.00746e7 4.62311e7i −0.519997 0.300220i
\(537\) 1.57476e7 3.52636e7i 0.101693 0.227722i
\(538\) 2.02331e8 1.29932
\(539\) −8.18999e7 + 2.45011e6i −0.523019 + 0.0156466i
\(540\) 2.57726e7 8.27867e6i 0.163673 0.0525750i
\(541\) −1.12905e7 1.95558e7i −0.0713055 0.123505i 0.828168 0.560480i \(-0.189383\pi\)
−0.899474 + 0.436975i \(0.856050\pi\)
\(542\) 2.99775e7 + 1.73075e7i 0.188277 + 0.108702i
\(543\) 1.09509e7 + 1.05322e8i 0.0683992 + 0.657842i
\(544\) 5.60129e7 + 9.70171e7i 0.347929 + 0.602631i
\(545\) 1.27203e8i 0.785793i
\(546\) −3.94816e7 3.10770e7i −0.242559 0.190924i
\(547\) 2.44583e8 1.49439 0.747197 0.664603i \(-0.231399\pi\)
0.747197 + 0.664603i \(0.231399\pi\)
\(548\) −1.37761e6 + 795365.i −0.00837115 + 0.00483309i
\(549\) 1.23079e8 + 1.37308e8i 0.743817 + 0.829812i
\(550\) −2.57078e7 + 4.45272e7i −0.154517 + 0.267632i
\(551\) 1.02467e8 5.91591e7i 0.612530 0.353644i
\(552\) −2.42294e8 + 1.75624e8i −1.44054 + 1.04416i
\(553\) −1.52741e8 1.48240e8i −0.903191 0.876575i
\(554\) 4.85775e6i 0.0285697i
\(555\) −3.53221e7 + 7.90968e7i −0.206617 + 0.462679i
\(556\) −4.78761e7 + 8.29239e7i −0.278545 + 0.482453i
\(557\) 4.19332e6 + 2.42102e6i 0.0242657 + 0.0140098i 0.512084 0.858936i \(-0.328874\pi\)
−0.487818 + 0.872945i \(0.662207\pi\)
\(558\) 4.57367e7 + 2.17563e8i 0.263246 + 1.25222i
\(559\) −1.79445e7 −0.102730
\(560\) −5.16335e7 1.30109e7i −0.294014 0.0740870i
\(561\) 8.41061e7 6.09633e7i 0.476364 0.345287i
\(562\) −7.08837e7 1.22774e8i −0.399335 0.691668i
\(563\) 2.58387e8 + 1.49180e8i 1.44792 + 0.835958i 0.998358 0.0572897i \(-0.0182459\pi\)
0.449564 + 0.893248i \(0.351579\pi\)
\(564\) −2.12387e7 + 2.20830e6i −0.118383 + 0.0123089i
\(565\) −5.37375e7 9.30760e7i −0.297942 0.516051i
\(566\) 2.63936e7i 0.145563i
\(567\) −1.40451e8 + 1.16194e8i −0.770504 + 0.637435i
\(568\) 1.66629e8 0.909298
\(569\) 1.64780e8 9.51358e7i 0.894475 0.516425i 0.0190711 0.999818i \(-0.493929\pi\)
0.875403 + 0.483393i \(0.160596\pi\)
\(570\) −6.15986e6 5.92435e7i −0.0332618 0.319902i
\(571\) −6.56426e7 + 1.13696e8i −0.352596 + 0.610714i −0.986703 0.162531i \(-0.948034\pi\)
0.634108 + 0.773245i \(0.281368\pi\)
\(572\) −1.03112e7 + 5.95319e6i −0.0550963 + 0.0318098i
\(573\) −7.51480e6 1.03676e7i −0.0399442 0.0551078i
\(574\) 2.57517e7 + 2.49928e7i 0.136167 + 0.132154i
\(575\) 2.23172e8i 1.17392i
\(576\) 2.01997e8 4.24645e7i 1.05701 0.222208i
\(577\) 1.39506e7 2.41632e7i 0.0726216 0.125784i −0.827428 0.561572i \(-0.810197\pi\)
0.900050 + 0.435788i \(0.143530\pi\)
\(578\) −3.63376e7 2.09795e7i −0.188180 0.108646i
\(579\) 5.40847e6 + 2.41525e6i 0.0278637 + 0.0124430i
\(580\) 3.21935e7 0.165000
\(581\) −3.88870e7 1.36906e8i −0.198278 0.698060i
\(582\) −2.21235e7 3.05220e7i −0.112224 0.154826i
\(583\) −7.77298e7 1.34632e8i −0.392267 0.679427i
\(584\) 2.13952e6 + 1.23525e6i 0.0107418 + 0.00620179i
\(585\) 2.97057e7 2.66272e7i 0.148379 0.133002i
\(586\) −1.00924e8 1.74805e8i −0.501534 0.868682i
\(587\) 4.50405e7i 0.222684i 0.993782 + 0.111342i \(0.0355149\pi\)
−0.993782 + 0.111342i \(0.964485\pi\)
\(588\) −6.52569e7 + 8.76459e6i −0.320992 + 0.0431121i
\(589\) −2.34325e8 −1.14676
\(590\) 1.18608e8 6.84786e7i 0.577510 0.333426i
\(591\) −2.12247e8 + 2.20684e7i −1.02820 + 0.106907i
\(592\) −5.65703e7 + 9.79827e7i −0.272661 + 0.472263i
\(593\) −4.76852e6 + 2.75311e6i −0.0228675 + 0.0132026i −0.511390 0.859349i \(-0.670869\pi\)
0.488523 + 0.872551i \(0.337536\pi\)
\(594\) −2.75780e7 8.58541e7i −0.131584 0.409639i
\(595\) −1.20933e8 + 3.43500e7i −0.574108 + 0.163071i
\(596\) 2.59124e7i 0.122397i
\(597\) −2.19095e8 9.78406e7i −1.02970 0.459829i
\(598\) −5.39442e7 + 9.34342e7i −0.252256 + 0.436920i
\(599\) −3.14579e8 1.81622e8i −1.46369 0.845062i −0.464512 0.885567i \(-0.653770\pi\)
−0.999179 + 0.0405046i \(0.987103\pi\)
\(600\) −6.88648e7 + 1.54209e8i −0.318818 + 0.713931i
\(601\) 2.03084e8 0.935517 0.467759 0.883856i \(-0.345062\pi\)
0.467759 + 0.883856i \(0.345062\pi\)
\(602\) 3.41892e7 3.52273e7i 0.156711 0.161469i
\(603\) −3.76286e7 + 1.14935e8i −0.171619 + 0.524203i
\(604\) −5.65595e7 9.79639e7i −0.256682 0.444586i
\(605\) −7.39232e7 4.26796e7i −0.333822 0.192732i
\(606\) 2.70213e7 + 2.59882e8i 0.121419 + 1.16777i
\(607\) −5.60658e7 9.71089e7i −0.250687 0.434203i 0.713028 0.701136i \(-0.247323\pi\)
−0.963715 + 0.266933i \(0.913990\pi\)
\(608\) 1.02501e8i 0.456055i
\(609\) −2.01294e8 + 8.04826e7i −0.891210 + 0.356328i
\(610\) 1.10398e8 0.486376
\(611\) −2.72525e7 + 1.57342e7i −0.119477 + 0.0689798i
\(612\) 6.21576e7 5.57160e7i 0.271169 0.243067i
\(613\) −3.83093e7 + 6.63536e7i −0.166311 + 0.288060i −0.937120 0.349007i \(-0.886519\pi\)
0.770809 + 0.637067i \(0.219852\pi\)
\(614\) 4.30794e7 2.48719e7i 0.186108 0.107449i
\(615\) −2.30692e7 + 1.67214e7i −0.0991762 + 0.0718866i
\(616\) 3.25327e7 1.29106e8i 0.139181 0.552337i
\(617\) 1.59298e7i 0.0678196i −0.999425 0.0339098i \(-0.989204\pi\)
0.999425 0.0339098i \(-0.0107959\pi\)
\(618\) 5.39544e7 1.20820e8i 0.228592 0.511887i
\(619\) 1.30151e8 2.25428e8i 0.548751 0.950465i −0.449609 0.893225i \(-0.648437\pi\)
0.998360 0.0572397i \(-0.0182299\pi\)
\(620\) −5.52160e7 3.18790e7i −0.231681 0.133761i
\(621\) 2.89994e8 + 2.62876e8i 1.21091 + 1.09768i
\(622\) 3.12764e8 1.29971
\(623\) −1.79209e8 + 1.84650e8i −0.741131 + 0.763634i
\(624\) 4.21869e7 3.05787e7i 0.173630 0.125853i
\(625\) −2.85838e7 4.95086e7i −0.117079 0.202787i
\(626\) −1.65648e8 9.56369e7i −0.675248 0.389855i
\(627\) 9.45351e7 9.82930e6i 0.383522 0.0398768i
\(628\) 3.00215e7 + 5.19988e7i 0.121214 + 0.209949i
\(629\) 2.67123e8i 1.07340i
\(630\) −4.32494e6 + 1.09048e8i −0.0172965 + 0.436110i
\(631\) −8.31931e7 −0.331130 −0.165565 0.986199i \(-0.552945\pi\)
−0.165565 + 0.986199i \(0.552945\pi\)
\(632\) 2.99529e8 1.72933e8i 1.18655 0.685058i
\(633\) 1.10519e7 + 1.06293e8i 0.0435737 + 0.419078i
\(634\) −9.66445e7 + 1.67393e8i −0.379236 + 0.656856i
\(635\) 1.34747e8 7.77962e7i 0.526257 0.303835i
\(636\) −7.33160e7 1.01148e8i −0.284989 0.393176i
\(637\) −8.25451e7 + 5.10078e7i −0.319354 + 0.197342i
\(638\) 1.07243e8i 0.412960i
\(639\) −4.48372e7 2.13284e8i −0.171845 0.817439i
\(640\) 1.87334e7 3.24472e7i 0.0714623 0.123776i
\(641\) 4.13537e8 + 2.38755e8i 1.57015 + 0.906524i 0.996150 + 0.0876653i \(0.0279406\pi\)
0.573995 + 0.818859i \(0.305393\pi\)
\(642\) −2.50535e8 1.11881e8i −0.946813 0.422816i
\(643\) 1.79150e8 0.673880 0.336940 0.941526i \(-0.390608\pi\)
0.336940 + 0.941526i \(0.390608\pi\)
\(644\) 3.86299e7 + 1.36001e8i 0.144632 + 0.509194i
\(645\) 2.28742e7 + 3.15578e7i 0.0852447 + 0.117605i
\(646\) −9.18360e7 1.59065e8i −0.340655 0.590032i
\(647\) −1.90784e8 1.10149e8i −0.704415 0.406694i 0.104575 0.994517i \(-0.466652\pi\)
−0.808990 + 0.587823i \(0.799985\pi\)
\(648\) −1.19265e8 2.71128e8i −0.438318 0.996436i
\(649\) 1.09272e8 + 1.89264e8i 0.399736 + 0.692362i
\(650\) 6.08890e7i 0.221717i
\(651\) 4.24943e8 + 6.12899e7i 1.54024 + 0.222150i
\(652\) −1.01390e7 −0.0365806
\(653\) 1.16639e8 6.73418e7i 0.418895 0.241849i −0.275709 0.961241i \(-0.588913\pi\)
0.694605 + 0.719392i \(0.255579\pi\)
\(654\) 3.38685e8 3.52148e7i 1.21077 0.125890i
\(655\) −1.23537e8 + 2.13973e8i −0.439617 + 0.761439i
\(656\) −3.22276e7 + 1.86066e7i −0.114161 + 0.0659106i
\(657\) 1.00540e6 3.07095e6i 0.00354522 0.0108287i
\(658\) 2.10352e7 8.34781e7i 0.0738362 0.293018i
\(659\) 3.76030e8i 1.31391i 0.753928 + 0.656957i \(0.228157\pi\)
−0.753928 + 0.656957i \(0.771843\pi\)
\(660\) 2.36134e7 + 1.05450e7i 0.0821346 + 0.0366787i
\(661\) 2.90919e7 5.03887e7i 0.100732 0.174473i −0.811254 0.584693i \(-0.801215\pi\)
0.911987 + 0.410220i \(0.134548\pi\)
\(662\) 1.95335e8 + 1.12776e8i 0.673294 + 0.388727i
\(663\) 5.01606e7 1.12325e8i 0.172116 0.385421i
\(664\) 2.31263e8 0.789954
\(665\) −1.11541e8 2.81066e7i −0.379288 0.0955749i
\(666\) 2.20378e8 + 7.21498e7i 0.746011 + 0.244237i
\(667\) 2.32748e8 + 4.03131e8i 0.784346 + 1.35853i
\(668\) 4.83868e7 + 2.79361e7i 0.162330 + 0.0937210i
\(669\) −5.78182e7 5.56077e8i −0.193102 1.85719i
\(670\) 3.62027e7 + 6.27050e7i 0.120370 + 0.208486i
\(671\) 1.76163e8i 0.583104i
\(672\) 2.68101e7 1.85883e8i 0.0883467 0.612537i
\(673\) −1.71549e8 −0.562786 −0.281393 0.959593i \(-0.590796\pi\)
−0.281393 + 0.959593i \(0.590796\pi\)
\(674\) −3.04758e8 + 1.75952e8i −0.995350 + 0.574665i
\(675\) 2.15916e8 + 4.66511e7i 0.702060 + 0.151688i
\(676\) 4.29749e7 7.44347e7i 0.139115 0.240955i
\(677\) −4.36085e8 + 2.51774e8i −1.40542 + 0.811417i −0.994942 0.100455i \(-0.967970\pi\)
−0.410475 + 0.911872i \(0.634637\pi\)
\(678\) −2.32943e8 + 1.68846e8i −0.747414 + 0.541754i
\(679\) −7.00297e7 + 1.98914e7i −0.223704 + 0.0635412i
\(680\) 2.04282e8i 0.649684i
\(681\) −5.98839e7 + 1.34098e8i −0.189613 + 0.424602i
\(682\) −1.06196e8 + 1.83936e8i −0.334776 + 0.579849i
\(683\) −4.47198e8 2.58190e8i −1.40358 0.810359i −0.408824 0.912613i \(-0.634061\pi\)
−0.994758 + 0.102255i \(0.967394\pi\)
\(684\) 7.47426e7 1.57126e7i 0.233561 0.0490999i
\(685\) 5.09183e6 0.0158417
\(686\) 5.71362e7 2.59230e8i 0.176986 0.802995i
\(687\) −2.78419e7 + 2.01808e7i −0.0858673 + 0.0622399i
\(688\) 2.54531e7 + 4.40860e7i 0.0781583 + 0.135374i
\(689\) −1.59438e8 9.20516e7i −0.487455 0.281432i
\(690\) 2.33080e8 2.42345e7i 0.709508 0.0737712i
\(691\) −2.03098e8 3.51777e8i −0.615563 1.06619i −0.990285 0.139049i \(-0.955595\pi\)
0.374722 0.927137i \(-0.377738\pi\)
\(692\) 1.30907e7i 0.0395045i
\(693\) −1.74008e8 6.90131e6i −0.522842 0.0207363i
\(694\) −2.41441e8 −0.722324
\(695\) 2.65434e8 1.53248e8i 0.790683 0.456501i
\(696\) −3.64306e7 3.50377e8i −0.108053 1.03922i
\(697\) −4.39299e7 + 7.60888e7i −0.129736 + 0.224710i
\(698\) −1.79110e8 + 1.03409e8i −0.526688 + 0.304083i
\(699\) −2.13328e8 2.94312e8i −0.624622 0.861740i
\(700\) 5.72580e7 + 5.55707e7i 0.166933 + 0.162014i
\(701\) 1.61640e8i 0.469239i 0.972087 + 0.234619i \(0.0753843\pi\)
−0.972087 + 0.234619i \(0.924616\pi\)
\(702\) −7.91201e7 7.17215e7i −0.228705 0.207319i
\(703\) −1.22206e8 + 2.11667e8i −0.351743 + 0.609237i
\(704\) 1.70777e8 + 9.85981e7i 0.489453 + 0.282586i
\(705\) 6.24100e7 + 2.78703e7i 0.178109 + 0.0795379i
\(706\) −1.79060e8 −0.508842
\(707\) 4.89294e8 + 1.23295e8i 1.38456 + 0.348888i
\(708\) 1.03067e8 + 1.42193e8i 0.290415 + 0.400662i
\(709\) 2.99324e8 + 5.18444e8i 0.839851 + 1.45466i 0.890019 + 0.455923i \(0.150691\pi\)
−0.0501682 + 0.998741i \(0.515976\pi\)
\(710\) −1.13003e8 6.52422e7i −0.315729 0.182286i
\(711\) −3.01951e8 3.36861e8i −0.840094 0.937220i
\(712\) −2.09061e8 3.62104e8i −0.579206 1.00321i
\(713\) 9.21896e8i 2.54339i
\(714\) 1.24938e8 + 3.12481e8i 0.343241 + 0.858477i
\(715\) 3.81116e7 0.104265
\(716\) 2.56766e7 1.48244e7i 0.0699517 0.0403866i
\(717\) −3.68189e7 + 3.82825e6i −0.0998879 + 0.0103859i
\(718\) −1.23315e8 + 2.13588e8i −0.333152 + 0.577035i
\(719\) 5.37512e8 3.10332e8i 1.44611 0.834912i 0.447863 0.894102i \(-0.352185\pi\)
0.998247 + 0.0591908i \(0.0188520\pi\)
\(720\) −1.07553e8 3.52119e7i −0.288155 0.0943392i
\(721\) −1.83373e8 1.77969e8i −0.489248 0.474831i
\(722\) 1.41419e8i 0.375748i
\(723\) −3.20146e8 1.42967e8i −0.847096 0.378286i
\(724\) −4.06461e7 + 7.04011e7i −0.107103 + 0.185509i
\(725\) 2.27515e8 + 1.31356e8i 0.597029 + 0.344695i
\(726\) −9.31719e7 + 2.08640e8i −0.243487 + 0.545240i
\(727\) −1.61816e8 −0.421132 −0.210566 0.977580i \(-0.567531\pi\)
−0.210566 + 0.977580i \(0.567531\pi\)
\(728\) −4.30816e7 1.51673e8i −0.111660 0.393111i
\(729\) −3.14949e8 + 2.25615e8i −0.812938 + 0.582351i
\(730\) −967303. 1.67542e6i −0.00248653 0.00430680i
\(731\) 1.04086e8 + 6.00943e7i 0.266466 + 0.153844i
\(732\) 1.46399e7 + 1.40802e8i 0.0373256 + 0.358985i
\(733\) 2.88495e8 + 4.99689e8i 0.732532 + 1.26878i 0.955798 + 0.294026i \(0.0949951\pi\)
−0.223265 + 0.974758i \(0.571672\pi\)
\(734\) 1.36591e7i 0.0345409i
\(735\) 1.94926e8 + 8.01454e7i 0.490916 + 0.201844i
\(736\) −4.03266e8 −1.01148
\(737\) −1.00059e8 + 5.77688e7i −0.249949 + 0.144308i
\(738\) 5.09082e7 + 5.67939e7i 0.126654 + 0.141297i
\(739\) −5.88627e7 + 1.01953e8i −0.145850 + 0.252620i −0.929690 0.368343i \(-0.879925\pi\)
0.783840 + 0.620963i \(0.213258\pi\)
\(740\) −5.75928e7 + 3.32512e7i −0.142126 + 0.0820565i
\(741\) 9.11341e7 6.60574e7i 0.223989 0.162356i
\(742\) 4.84481e8 1.37613e8i 1.18595 0.336859i
\(743\) 4.99500e8i 1.21778i −0.793255 0.608890i \(-0.791615\pi\)
0.793255 0.608890i \(-0.208385\pi\)
\(744\) −2.84472e8 + 6.37018e8i −0.690749 + 1.54680i
\(745\) 4.14720e7 7.18317e7i 0.100297 0.173719i
\(746\) 5.70179e7 + 3.29193e7i 0.137339 + 0.0792929i
\(747\) −6.22290e7 2.96014e8i −0.149290 0.710152i
\(748\) 7.97464e7 0.190549
\(749\) −3.69041e8 + 3.80246e8i −0.878272 + 0.904940i
\(750\) 2.56165e8 1.85678e8i 0.607206 0.440126i
\(751\) 1.86246e7 + 3.22587e7i 0.0439711 + 0.0761601i 0.887173 0.461436i \(-0.152666\pi\)
−0.843202 + 0.537596i \(0.819332\pi\)
\(752\) 7.73116e7 + 4.46359e7i 0.181799 + 0.104962i
\(753\) 5.03997e8 5.24032e7i 1.18044 0.122736i
\(754\) −6.35014e7 1.09988e8i −0.148139 0.256584i
\(755\) 3.62087e8i 0.841341i
\(756\) −1.39654e8 + 8.94487e6i −0.323212 + 0.0207018i
\(757\) 3.37798e8 0.778699 0.389350 0.921090i \(-0.372700\pi\)
0.389350 + 0.921090i \(0.372700\pi\)
\(758\) −1.80347e8 + 1.04124e8i −0.414097 + 0.239079i
\(759\) 3.86711e7 + 3.71926e8i 0.0884425 + 0.850612i
\(760\) 9.34564e7 1.61871e8i 0.212896 0.368747i
\(761\) −3.20644e8 + 1.85124e8i −0.727561 + 0.420058i −0.817529 0.575887i \(-0.804657\pi\)
0.0899682 + 0.995945i \(0.471323\pi\)
\(762\) −2.44440e8 3.37234e8i −0.552468 0.762196i
\(763\) 1.60681e8 6.37661e8i 0.361735 1.43554i
\(764\) 9.83015e6i 0.0220435i
\(765\) −2.61478e8 + 5.49688e7i −0.584052 + 0.122781i
\(766\)