Properties

Label 21.7.h.a.11.10
Level $21$
Weight $7$
Character 21.11
Analytic conductor $4.831$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 11.10
Character \(\chi\) \(=\) 21.11
Dual form 21.7.h.a.2.10

$q$-expansion

\(f(q)\) \(=\) \(q+(5.69684 - 3.28907i) q^{2} +(-24.6534 + 11.0094i) q^{3} +(-10.3640 + 17.9510i) q^{4} +(-57.4599 + 33.1745i) q^{5} +(-104.236 + 143.806i) q^{6} +(-329.948 + 93.7191i) q^{7} +557.353i q^{8} +(486.585 - 542.841i) q^{9} +O(q^{10})\) \(q+(5.69684 - 3.28907i) q^{2} +(-24.6534 + 11.0094i) 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} +(486.585 - 542.841i) q^{9} +(-218.227 + 377.979i) q^{10} +(603.143 + 348.225i) q^{11} +(57.8782 - 556.654i) 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} +(986.554 - 4692.89i) q^{18} +(2527.23 + 4377.29i) q^{19} -1375.28i q^{20} +(7102.56 - 5943.04i) q^{21} +4581.35 q^{22} +(17221.4 - 9942.79i) q^{23} +(-6136.14 - 13740.7i) 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} +(1218.70 - 11721.0i) q^{30} +(-23180.0 + 40149.0i) q^{31} +(-17562.4 - 10139.7i) q^{32} +(-18703.3 - 1944.68i) 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} +(20333.4 - 9080.25i) q^{39} +(-18489.9 - 32025.4i) q^{40} -15904.7i q^{41} +(20915.1 - 57217.4i) q^{42} +21757.0 q^{43} +(-12501.9 + 7217.99i) q^{44} +(-9950.65 + 47333.8i) 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} +(148352. + 15424.9i) q^{51} +(8547.91 - 14805.4i) q^{52} +(-193312. - 111609. i) q^{53} +(27344.1 + 126557. i) 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} +(15141.0 + 33905.4i) q^{60} +(-126472. - 219056. i) q^{61} +304963. i q^{62} +(-109673. + 224712. i) q^{63} -283145. q^{64} +(47391.2 - 27361.3i) q^{65} +(-112946. + 50438.0i) 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} +(302554. + 271200. i) q^{72} +(-2216.28 + 3838.71i) q^{73} +(275474. + 159045. i) q^{74} +(31337.2 - 301391. 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} +(-57911.3 - 528276. i) q^{81} +(-52311.7 - 90606.6i) q^{82} -414931. i q^{83} +(33072.3 + 189091. i) q^{84} +366521. q^{85} +(123946. - 71560.3i) q^{86} +(-257716. - 577104. i) 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} +(129450. - 1.24501e6i) q^{93} +(-125492. + 217359. i) q^{94} +(-290428. - 167679. i) q^{95} +(544605. + 56625.4i) q^{96} +212245. q^{97} +(366742. - 681499. i) q^{98} +(482511. - 157970. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} - 930 q^{10} - 404 q^{12} + 3632 q^{13} + 5450 q^{15} - 13706 q^{16} + 1612 q^{18} + 6830 q^{19} - 11333 q^{21} - 27348 q^{22} - 54498 q^{24} - 7640 q^{25} + 13268 q^{27} + 88522 q^{28} + 32380 q^{30} + 69410 q^{31} - 85459 q^{33} - 31344 q^{34} + 399028 q^{36} - 71830 q^{37} + 104570 q^{39} + 230250 q^{40} - 467782 q^{42} - 498904 q^{43} - 85375 q^{45} - 342660 q^{46} - 324728 q^{48} + 395668 q^{49} + 42177 q^{51} + 218000 q^{52} - 402122 q^{54} + 231660 q^{55} + 786782 q^{57} + 459522 q^{58} + 1021150 q^{60} + 153158 q^{61} + 179011 q^{63} - 1399412 q^{64} + 80896 q^{66} - 977098 q^{67} - 1520742 q^{69} - 139650 q^{70} - 1001352 q^{72} - 488350 q^{73} + 1434610 q^{75} + 6196280 q^{76} + 245176 q^{78} + 380762 q^{79} + 893531 q^{81} - 3665004 q^{82} + 1231496 q^{84} - 912540 q^{85} + 1452416 q^{87} - 1522482 q^{88} - 11713820 q^{90} - 1529416 q^{91} - 1690071 q^{93} - 3034044 q^{94} + 7549346 q^{96} + 7212176 q^{97} + 435866 q^{99}+O(q^{100}) \) Copy content Toggle raw display

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 −0.0997347 0.995014i \(-0.531799\pi\)
0.811840 + 0.583880i \(0.198466\pi\)
\(3\) −24.6534 + 11.0094i −0.913091 + 0.407757i
\(4\) −10.3640 + 17.9510i −0.161937 + 0.280484i
\(5\) −57.4599 + 33.1745i −0.459679 + 0.265396i −0.711909 0.702271i \(-0.752169\pi\)
0.252230 + 0.967667i \(0.418836\pi\)
\(6\) −104.236 + 143.806i −0.482574 + 0.665769i
\(7\) −329.948 + 93.7191i −0.961948 + 0.273234i
\(8\) 557.353i 1.08858i
\(9\) 486.585 542.841i 0.667469 0.744638i
\(10\) −218.227 + 377.979i −0.218227 + 0.377979i
\(11\) 603.143 + 348.225i 0.453150 + 0.261626i 0.709160 0.705048i \(-0.249075\pi\)
−0.256010 + 0.966674i \(0.582408\pi\)
\(12\) 57.8782 556.654i 0.0334944 0.322138i
\(13\) −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 −0.0733743 0.997304i \(-0.523377\pi\)
−0.900378 + 0.435108i \(0.856710\pi\)
\(18\) 986.554 4692.89i 0.169162 0.804680i
\(19\) 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
\(21\) 7102.56 5943.04i 0.766933 0.641728i
\(22\) 4581.35 0.430254
\(23\) 17221.4 9942.79i 1.41542 0.817193i 0.419528 0.907742i \(-0.362196\pi\)
0.995892 + 0.0905491i \(0.0288622\pi\)
\(24\) −6136.14 13740.7i −0.443876 0.993972i
\(25\) −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 \(0.159328\pi\)
−0.877322 + 0.479902i \(0.840672\pi\)
\(30\) 1218.70 11721.0i 0.0451370 0.434113i
\(31\) −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
\(33\) −18703.3 1944.68i −0.520447 0.0541136i
\(34\) −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
\(39\) 20333.4 9080.25i 0.342781 0.153075i
\(40\) −18489.9 32025.4i −0.288905 0.500397i
\(41\) 15904.7i 0.230767i −0.993321 0.115384i \(-0.963190\pi\)
0.993321 0.115384i \(-0.0368097\pi\)
\(42\) 20915.1 57217.4i 0.282301 0.772290i
\(43\) 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
\(45\) −9950.65 + 47333.8i −0.109198 + 0.519438i
\(46\) 65405.1 113285.i 0.671952 1.16386i
\(47\) −33042.5 + 19077.1i −0.318258 + 0.183747i −0.650616 0.759407i \(-0.725489\pi\)
0.332358 + 0.943153i \(0.392156\pi\)
\(48\) −51149.9 37075.4i −0.462510 0.335245i
\(49\) 100082. 61844.9i 0.850687 0.525673i
\(50\) 73825.4i 0.590603i
\(51\) 148352. + 15424.9i 1.11836 + 0.116282i
\(52\) 8547.91 14805.4i 0.0607925 0.105296i
\(53\) −193312. 111609.i −1.29847 0.749670i −0.318328 0.947981i \(-0.603121\pi\)
−0.980139 + 0.198310i \(0.936455\pi\)
\(54\) 27344.1 + 126557.i 0.173653 + 0.803723i
\(55\) −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 0.984236 0.176860i \(-0.0565938\pi\)
0.338953 + 0.940803i \(0.389927\pi\)
\(60\) 15141.0 + 33905.4i 0.0700974 + 0.156969i
\(61\) −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
\(63\) −109673. + 224712.i −0.438610 + 0.898677i
\(64\) −283145. −1.08011
\(65\) 47391.2 27361.3i 0.172567 0.0996316i
\(66\) −112946. + 50438.0i −0.392861 + 0.175439i
\(67\) 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 \(-0.862853\pi\)
0.908606 0.417653i \(-0.137147\pi\)
\(72\) 302554. + 271200.i 0.810598 + 0.726594i
\(73\) −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
\(75\) 31337.2 301391.i 0.0742808 0.714409i
\(76\) −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
\(81\) −57911.3 528276.i −0.108970 0.994045i
\(82\) −52311.7 90606.6i −0.0948762 0.164330i
\(83\) 414931.i 0.725674i −0.931853 0.362837i \(-0.881808\pi\)
0.931853 0.362837i \(-0.118192\pi\)
\(84\) 33072.3 + 189091.i 0.0557991 + 0.319032i
\(85\) 366521. 0.596818
\(86\) 123946. 71560.3i 0.194867 0.112506i
\(87\) −257716. 577104.i −0.391367 0.876389i
\(88\) −194084. + 336164.i −0.284801 + 0.493290i
\(89\) −649685. + 375096.i −0.921580 + 0.532074i −0.884139 0.467224i \(-0.845254\pi\)
−0.0374412 + 0.999299i \(0.511921\pi\)
\(90\) 98996.9 + 302381.i 0.135798 + 0.414789i
\(91\) 272131. 77296.8i 0.361123 0.102574i
\(92\) 412188.i 0.529336i
\(93\) 129450. 1.24501e6i 0.160936 1.54783i
\(94\) −125492. + 217359.i −0.151089 + 0.261694i
\(95\) −290428. 167679.i −0.338741 0.195572i
\(96\) 544605. + 56625.4i 0.615557 + 0.0640026i
\(97\) 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 0.968386 0.249455i \(-0.0802516\pi\)
0.268159 + 0.963375i \(0.413585\pi\)
\(102\) 895872. 400067.i 0.844200 0.376992i
\(103\) 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
\(105\) −210955. + 577110.i −0.182231 + 0.498529i
\(106\) −1.46836e6 −1.23286
\(107\) −1.33788e6 + 772428.i −1.09211 + 0.630531i −0.934138 0.356912i \(-0.883830\pi\)
−0.157974 + 0.987443i \(0.550496\pi\)
\(108\) −274012. 302278.i −0.217520 0.239958i
\(109\) −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 \(0.189705\pi\)
−0.827601 + 0.561317i \(0.810295\pi\)
\(114\) −892908. 92840.3i −0.602688 0.0626646i
\(115\) −659694. + 1.14262e6i −0.433759 + 0.751293i
\(116\) −420208. 242607.i −0.269209 0.155428i
\(117\) −401321. + 447719.i −0.250573 + 0.279543i
\(118\) 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
\(123\) 175102. + 392106.i 0.0940968 + 0.210711i
\(124\) −480475. 832207.i −0.252003 0.436482i
\(125\) 1.78132e6i 0.912038i
\(126\) 114302. + 1.64087e6i 0.0571403 + 0.820281i
\(127\) 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
\(129\) −536385. + 239532.i −0.249866 + 0.111582i
\(130\) 179987. 311746.i 0.0819239 0.141896i
\(131\) 3.22497e6 1.86194e6i 1.43454 0.828229i 0.437073 0.899426i \(-0.356015\pi\)
0.997462 + 0.0711964i \(0.0226817\pi\)
\(132\) 228750. 315588.i 0.0994578 0.137214i
\(133\) −1.24409e6 1.20743e6i −0.528806 0.513223i
\(134\) 1.09128e6i 0.453548i
\(135\) −275800. 1.27649e6i −0.112097 0.518820i
\(136\) 1.53945e6 2.66640e6i 0.611996 1.06001i
\(137\) −66461.5 38371.6i −0.0258469 0.0149227i 0.487021 0.873390i \(-0.338084\pi\)
−0.512868 + 0.858468i \(0.671417\pi\)
\(138\) −365259. + 3.51294e6i −0.138983 + 1.33670i
\(139\) 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
\(144\) 1.66920e6 + 350904.i 0.559012 + 0.117517i
\(145\) −776570. 1.34506e6i −0.254728 0.441202i
\(146\) 29158.1i 0.00936915i
\(147\) −1.78650e6 + 2.62654e6i −0.562408 + 0.826860i
\(148\) −1.00231e6 −0.309185
\(149\) −1.08263e6 + 625060.i −0.327283 + 0.188957i −0.654634 0.755946i \(-0.727177\pi\)
0.327351 + 0.944903i \(0.393844\pi\)
\(150\) −812775. 1.82005e6i −0.240822 0.539274i
\(151\) −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
\(156\) −47736.3 + 459112.i −0.0125740 + 0.120933i
\(157\) 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
\(159\) 5.99455e6 + 623285.i 1.49130 + 0.155058i
\(160\) 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
\(165\) 1.13920e6 508731.i 0.253600 0.113250i
\(166\) −1.36474e6 2.36380e6i −0.298349 0.516756i
\(167\) 2.69550e6i 0.578749i 0.957216 + 0.289375i \(0.0934473\pi\)
−0.957216 + 0.289375i \(0.906553\pi\)
\(168\) 3.31237e6 + 3.95864e6i 0.698572 + 0.834868i
\(169\) −4.14656e6 −0.859069
\(170\) 2.08801e6 1.20551e6i 0.424997 0.245372i
\(171\) 3.60588e6 + 758039.i 0.721146 + 0.151601i
\(172\) −225489. + 390559.i −0.0443139 + 0.0767540i
\(173\) 546938. 315775.i 0.105633 0.0609873i −0.446253 0.894907i \(-0.647242\pi\)
0.551886 + 0.833920i \(0.313908\pi\)
\(174\) −3.36631e6 2.44003e6i −0.639008 0.463177i
\(175\) 940595. 3.73274e6i 0.175505 0.696488i
\(176\) 1.62953e6i 0.298898i
\(177\) −8.42706e6 876205.i −1.51969 0.158011i
\(178\) −2.46744e6 + 4.27373e6i −0.437508 + 0.757786i
\(179\) 1.23874e6 + 715187.i 0.215984 + 0.124698i 0.604089 0.796917i \(-0.293537\pi\)
−0.388105 + 0.921615i \(0.626870\pi\)
\(180\) −746558. 669190.i −0.128011 0.114745i
\(181\) 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
\(186\) −3.35747e6 7.51840e6i −0.521763 1.16839i
\(187\) −1.92364e6 3.33185e6i −0.294171 0.509519i
\(188\) 790860.i 0.119022i
\(189\) 229876. 6.74735e6i 0.0340492 0.999420i
\(190\) −2.20603e6 −0.321626
\(191\) 410709. 237123.i 0.0589432 0.0340309i −0.470239 0.882539i \(-0.655832\pi\)
0.529182 + 0.848508i \(0.322499\pi\)
\(192\) 6.98050e6 3.11726e6i 0.986240 0.440423i
\(193\) 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 \(-0.827096\pi\)
0.856062 0.516872i \(-0.172904\pi\)
\(198\) 2.22921e6 2.48694e6i 0.287181 0.320383i
\(199\) −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
\(201\) −463225. + 4.45515e6i −0.0570433 + 0.548624i
\(202\) 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
\(207\) 2.98233e6 1.41865e7i 0.336236 1.59943i
\(208\) −964883. 1.67123e6i −0.107222 0.185714i
\(209\) 3.52017e6i 0.385589i
\(210\) 696379. + 3.98155e6i 0.0751948 + 0.429927i
\(211\) 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
\(213\) 3.29144e6 + 7.37053e6i 0.340602 + 0.762711i
\(214\) −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
\(219\) 12376.9 119038.i 0.00117837 0.0113332i
\(220\) 478906. 829490.i 0.0449762 0.0779010i
\(221\) 3.94574e6 + 2.27807e6i 0.365554 + 0.211053i
\(222\) −8.54239e6 888197.i −0.780766 0.0811802i
\(223\) −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 0.284939 0.958546i \(-0.408027\pi\)
−0.687655 + 0.726038i \(0.741360\pi\)
\(228\) 2.58291e6 1.15344e6i 0.217924 0.0973177i
\(229\) 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
\(231\) 6.35337e6 1.11121e6i 0.515429 0.0901492i
\(232\) −1.30469e7 −1.04482
\(233\) 1.16591e7 6.73138e6i 0.921716 0.532153i 0.0375341 0.999295i \(-0.488050\pi\)
0.884182 + 0.467142i \(0.154716\pi\)
\(234\) −813681. + 3.87056e6i −0.0635048 + 0.302083i
\(235\) 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 \(-0.984010\pi\)
0.998739 0.0502132i \(-0.0159901\pi\)
\(240\) 4.16902e6 + 433475.i 0.301579 + 0.0313567i
\(241\) −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
\(243\) 7.24373e6 + 1.23863e7i 0.504828 + 0.863220i
\(244\) 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
\(249\) 4.56815e6 + 1.02295e7i 0.295898 + 0.662606i
\(250\) −5.85891e6 1.01479e7i −0.374970 0.649467i
\(251\) 1.87672e7i 1.18680i 0.804907 + 0.593401i \(0.202215\pi\)
−0.804907 + 0.593401i \(0.797785\pi\)
\(252\) −2.89714e6 4.29765e6i −0.181037 0.268552i
\(253\) 1.38493e7 0.855197
\(254\) 1.33595e7 7.71309e6i 0.815244 0.470681i
\(255\) −9.03600e6 + 4.03519e6i −0.544949 + 0.243356i
\(256\) 7.20332e6 1.24765e7i 0.429351 0.743658i
\(257\) −7.23297e6 + 4.17596e6i −0.426105 + 0.246012i −0.697686 0.716404i \(-0.745787\pi\)
0.271581 + 0.962416i \(0.412454\pi\)
\(258\) −2.26786e6 + 3.12878e6i −0.132056 + 0.182187i
\(259\) −1.19021e7 1.15514e7i −0.685054 0.664867i
\(260\) 1.13429e6i 0.0645363i
\(261\) 1.27072e7 + 1.13903e7i 0.714707 + 0.640640i
\(262\) 1.22481e7 2.12143e7i 0.681027 1.17957i
\(263\) −5.57378e6 3.21803e6i −0.306396 0.176898i 0.338917 0.940816i \(-0.389940\pi\)
−0.645313 + 0.763919i \(0.723273\pi\)
\(264\) 1.08387e6 1.04243e7i 0.0589070 0.566548i
\(265\) 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 0.990731 0.135836i \(-0.0433720\pi\)
0.377728 + 0.925917i \(0.376705\pi\)
\(270\) −5.76966e6 6.36484e6i −0.293129 0.323368i
\(271\) −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
\(273\) −5.85799e6 + 4.90164e6i −0.287912 + 0.240909i
\(274\) −504828. −0.0245410
\(275\) −6.76896e6 + 3.90806e6i −0.325480 + 0.187916i
\(276\) −4.53795e6 1.01618e7i −0.215840 0.483332i
\(277\) −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 \(-0.838583\pi\)
0.874153 0.485650i \(-0.161417\pi\)
\(282\) 700817. 6.74024e6i 0.0312505 0.300558i
\(283\) 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
\(285\) 9.00611e6 + 936412.i 0.389048 + 0.0404513i
\(286\) −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
\(291\) −5.23256e6 + 2.33669e6i −0.212342 + 0.0948249i
\(292\) −45939.0 79568.8i −0.00184516 0.00319591i
\(293\) 3.06845e7i 1.21988i −0.792448 0.609940i \(-0.791194\pi\)
0.792448 0.609940i \(-0.208806\pi\)
\(294\) −1.53853e6 + 2.08389e7i −0.0605430 + 0.820037i
\(295\) −2.08200e7 −0.810990
\(296\) −2.33404e7 + 1.34756e7i −0.899980 + 0.519604i
\(297\) −1.01564e7 + 9.20667e6i −0.387677 + 0.351425i
\(298\) −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
\(303\) −3.95068e7 4.10773e6i −1.42018 0.147664i
\(304\) −5.91311e6 + 1.02418e7i −0.210472 + 0.364549i
\(305\) 1.45341e7 + 8.39128e6i 0.512259 + 0.295753i
\(306\) −1.76818e7 + 1.97261e7i −0.617110 + 0.688457i
\(307\) −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 0.990784 0.135450i \(-0.0432479\pi\)
0.378089 + 0.925769i \(0.376581\pi\)
\(312\) 5.06091e6 + 1.13329e7i 0.166634 + 0.373145i
\(313\) 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
\(315\) −1.15288e6 1.65502e7i −0.0368852 0.529508i
\(316\) −1.28628e7 −0.407637
\(317\) −2.54469e7 + 1.46918e7i −0.798834 + 0.461207i −0.843063 0.537814i \(-0.819250\pi\)
0.0442294 + 0.999021i \(0.485917\pi\)
\(318\) 3.62001e7 1.61658e7i 1.12571 0.502707i
\(319\) −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
\(324\) 1.00833e7 + 4.43549e6i 0.296460 + 0.130409i
\(325\) 4.62813e6 8.01615e6i 0.134820 0.233515i
\(326\) 2.78658e6 + 1.60883e6i 0.0804301 + 0.0464363i
\(327\) 5.35330e6 5.14864e7i 0.153101 1.47248i
\(328\) 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
\(333\) 3.44972e7 + 7.25211e6i 0.934225 + 0.196396i
\(334\) 8.86571e6 + 1.53559e7i 0.237944 + 0.412130i
\(335\) 1.10070e7i 0.292775i
\(336\) 2.03515e7 + 7.43922e6i 0.536511 + 0.196115i
\(337\) 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
\(339\) −1.78336e7 3.99348e7i −0.457761 1.02507i
\(340\) −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
\(345\) 3.68409e6 3.54324e7i 0.0897167 0.862867i
\(346\) 2.07721e6 3.59784e6i 0.0501479 0.0868587i
\(347\) −3.17861e7 1.83517e7i −0.760762 0.439226i 0.0688072 0.997630i \(-0.478081\pi\)
−0.829569 + 0.558404i \(0.811414\pi\)
\(348\) 1.30305e7 + 1.35485e6i 0.309189 + 0.0321480i
\(349\) 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 0.207503 0.978234i \(-0.433466\pi\)
−0.743424 + 0.668820i \(0.766799\pi\)
\(354\) −5.08896e7 + 2.27256e7i −1.14715 + 0.512278i
\(355\) 9.91802e6 + 1.71785e7i 0.221687 + 0.383973i
\(356\) 1.55500e7i 0.344651i
\(357\) −5.03941e7 + 8.81399e6i −1.10758 + 0.193717i
\(358\) 9.40921e6 0.205071
\(359\) −3.24692e7 + 1.87461e7i −0.701760 + 0.405162i −0.808003 0.589179i \(-0.799451\pi\)
0.106242 + 0.994340i \(0.466118\pi\)
\(360\) −2.63816e7 5.54602e6i −0.565450 0.118871i
\(361\) 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
\(366\) 4.46845e7 + 4.64608e6i 0.911409 + 0.0947639i
\(367\) 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
\(369\) −8.63372e6 7.73898e6i −0.171838 0.154030i
\(370\) −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
\(375\) 1.96114e7 + 4.39158e7i 0.371890 + 0.832773i
\(376\) −1.06327e7 1.84164e7i −0.200023 0.346450i
\(377\) 1.93068e7i 0.360318i
\(378\) −2.08830e7 3.91947e7i −0.386649 0.725691i
\(379\) 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
\(381\) −5.78139e7 + 2.58178e7i −1.04534 + 0.466815i
\(382\) 1.55983e6 2.70170e6i 0.0279825 0.0484672i
\(383\) −7.81038e6 + 4.50932e6i −0.139020 + 0.0802629i −0.567897 0.823100i \(-0.692243\pi\)
0.428877 + 0.903363i \(0.358909\pi\)
\(384\) 8.94802e6 1.23449e7i 0.158028 0.218018i
\(385\) 1.52465e7 4.33064e6i 0.267170 0.0758874i
\(386\) 1.44311e6i 0.0250922i
\(387\) 1.05866e7 1.18106e7i 0.182652 0.203769i
\(388\) −2.19970e6 + 3.80999e6i −0.0376589 + 0.0652272i
\(389\) −6.99549e6 4.03885e6i −0.118842 0.0686134i 0.439401 0.898291i \(-0.355191\pi\)
−0.558243 + 0.829678i \(0.688524\pi\)
\(390\) −1.00515e6 + 9.66717e6i −0.0169448 + 0.162969i
\(391\) −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
\(396\) −2.16503e6 + 1.02987e7i −0.0348641 + 0.165843i
\(397\) 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
\(399\) 4.39642e7 + 1.60705e7i 0.692118 + 0.252995i
\(400\) −2.62587e7 −0.410292
\(401\) 8.72146e7 5.03534e7i 1.35256 0.780900i 0.363951 0.931418i \(-0.381428\pi\)
0.988607 + 0.150518i \(0.0480943\pi\)
\(402\) 1.20144e7 + 2.69039e7i 0.184937 + 0.414130i
\(403\) 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
\(408\) −8.59713e6 + 8.26845e7i −0.126582 + 1.21743i
\(409\) 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
\(411\) 2.06095e6 + 214288.i 0.0296854 + 0.00308655i
\(412\) −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
\(417\) −1.13886e8 + 5.08577e7i −1.57059 + 0.701373i
\(418\) 1.15781e7 + 2.00539e7i 0.158529 + 0.274580i
\(419\) 4.76327e7i 0.647535i −0.946137 0.323767i \(-0.895050\pi\)
0.946137 0.323767i \(-0.104950\pi\)
\(420\) −8.17334e6 9.76801e6i −0.110319 0.131843i
\(421\) 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
\(423\) −5.72216e6 + 2.72195e7i −0.0756030 + 0.359632i
\(424\) 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
\(429\) 1.54259e7 + 1.60391e6i 0.195380 + 0.0203147i
\(430\) −4.74795e6 + 8.22369e6i −0.0597174 + 0.103434i
\(431\) −3.09039e7 1.78424e7i −0.385995 0.222855i 0.294428 0.955674i \(-0.404871\pi\)
−0.680424 + 0.732819i \(0.738204\pi\)
\(432\) −4.50148e7 + 9.72594e6i −0.558347 + 0.120637i
\(433\) −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
\(438\) −321014. 718847.i −0.00382033 0.00855488i
\(439\) −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
\(441\) 1.51267e7 8.44216e7i 0.176371 0.984324i
\(442\) 2.99710e7 0.347084
\(443\) 6.88023e6 3.97230e6i 0.0791392 0.0456911i −0.459908 0.887966i \(-0.652118\pi\)
0.539047 + 0.842275i \(0.318784\pi\)
\(444\) 2.47105e7 1.10349e7i 0.282314 0.126072i
\(445\) 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 \(0.152923\pi\)
−0.886800 + 0.462153i \(0.847077\pi\)
\(450\) 4.00754e7 + 3.59223e7i 0.439785 + 0.394209i
\(451\) 5.53841e6 9.59280e6i 0.0603747 0.104572i
\(452\) −2.90777e7 1.67880e7i −0.314880 0.181796i
\(453\) 1.52383e7 1.46557e8i 0.163924 1.57657i
\(454\) −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
\(459\) 8.05591e7 7.30260e7i 0.833061 0.755161i
\(460\) −1.36741e7 2.36843e7i −0.140484 0.243325i
\(461\) 6.46347e7i 0.659725i 0.944029 + 0.329862i \(0.107002\pi\)
−0.944029 + 0.329862i \(0.892998\pi\)
\(462\) 3.25393e7 2.72271e7i 0.329976 0.276106i
\(463\) −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
\(465\) 3.38643e7 + 7.58325e7i 0.336809 + 0.754218i
\(466\) 4.42800e7 7.66953e7i 0.437573 0.757898i
\(467\) 4.43386e7 2.55989e7i 0.435343 0.251345i −0.266277 0.963896i \(-0.585794\pi\)
0.701620 + 0.712551i \(0.252460\pi\)
\(468\) −3.87770e6 1.18442e7i −0.0378300 0.115550i
\(469\) −1.39038e7 + 5.51773e7i −0.134777 + 0.534862i
\(470\) 1.66525e7i 0.160393i
\(471\) −8.08844e6 + 7.77920e7i −0.0774109 + 0.744513i
\(472\) −8.74476e7 + 1.51464e8i −0.831614 + 1.44040i
\(473\) 1.31226e7 + 7.57632e6i 0.124004 + 0.0715937i
\(474\) −1.09625e8 1.13983e7i −1.02938 0.107030i
\(475\) −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 0.420776 0.907165i \(-0.361758\pi\)
−0.575240 + 0.817985i \(0.695091\pi\)
\(480\) −3.31715e7 + 1.48133e7i −0.299945 + 0.133946i
\(481\) −1.99412e7 3.45391e7i −0.179191 0.310367i
\(482\) 8.54227e7i 0.762838i
\(483\) 6.32258e7 1.72967e8i 0.561117 1.53505i
\(484\) 2.66669e7 0.235200
\(485\) −1.21955e7 + 7.04110e6i −0.106900 + 0.0617185i
\(486\) 8.20057e7 + 4.67374e7i 0.714390 + 0.407151i
\(487\) −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 \(-0.860786\pi\)
0.905876 0.423543i \(-0.139214\pi\)
\(492\) −8.85342e6 920536.i −0.0743388 0.00772939i
\(493\) 6.46564e7 1.11988e8i 0.539598 0.934612i
\(494\) −2.37488e7 1.37114e7i −0.196998 0.113737i
\(495\) −2.24844e7 + 2.50840e7i −0.185382 + 0.206814i
\(496\) −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
\(501\) −2.96759e7 6.64534e7i −0.235989 0.528450i
\(502\) 6.17267e7 + 1.06914e8i 0.487935 + 0.845128i
\(503\) 1.14370e8i 0.898685i 0.893360 + 0.449342i \(0.148342\pi\)
−0.893360 + 0.449342i \(0.851658\pi\)
\(504\) −1.25244e8 6.11267e7i −0.978282 0.477463i
\(505\) −9.76062e7 −0.757885
\(506\) 7.88973e7 4.55514e7i 0.608991 0.351601i
\(507\) 1.02227e8 4.56513e7i 0.784408 0.350291i
\(508\) −2.43042e7 + 4.20961e7i −0.185392 + 0.321108i
\(509\) −7.07146e7 + 4.08271e7i −0.536236 + 0.309596i −0.743552 0.668678i \(-0.766860\pi\)
0.207316 + 0.978274i \(0.433527\pi\)
\(510\) −3.82047e7 + 5.27079e7i −0.288009 + 0.397343i
\(511\) 371497. 1.47428e6i 0.00278415 0.0110489i
\(512\) 1.30909e8i 0.975351i
\(513\) −9.72430e7 + 2.10104e7i −0.720288 + 0.155626i
\(514\) −2.74701e7 + 4.75795e7i −0.202288 + 0.350373i
\(515\) −4.28078e7 2.47151e7i −0.313401 0.180942i
\(516\) 1.25926e6 1.21111e7i 0.00916568 0.0881526i
\(517\) −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 0.0514085 0.998678i \(-0.483629\pi\)
−0.839176 + 0.543860i \(0.816962\pi\)
\(522\) 1.09854e8 + 2.30939e7i 0.772335 + 0.162363i
\(523\) −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
\(525\) 1.79065e7 + 1.02380e8i 0.123746 + 0.707520i
\(526\) −4.23373e7 −0.290915
\(527\) 2.21789e8 1.28050e8i 1.51533 0.874876i
\(528\) −1.79401e7 4.01734e7i −0.121878 0.272921i
\(529\) 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
\(534\) 1.37795e7 1.32527e8i 0.0904921 0.870324i
\(535\) 5.12498e7 8.87672e7i 0.334681 0.579684i
\(536\) 8.00746e7 + 4.62311e7i 0.519997 + 0.300220i
\(537\) −3.84130e7 3.99400e6i −0.248059 0.0257920i
\(538\) 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
\(543\) −9.66874e7 + 4.31775e7i −0.603907 + 0.269685i
\(544\) 5.60129e7 + 9.70171e7i 0.347929 + 0.602631i
\(545\) 1.27203e8i 0.785793i
\(546\) −1.72502e7 + 4.71912e7i −0.105978 + 0.289924i
\(547\) 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
\(549\) −1.80452e8 3.79351e7i −1.09055 0.229258i
\(550\) −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
\(555\) 8.61608e7 + 8.95859e6i 0.504000 + 0.0524035i
\(556\) −4.78761e7 + 8.29239e7i −0.278545 + 0.482453i
\(557\) −4.19332e6 2.42102e6i −0.0242657 0.0140098i 0.487818 0.872945i \(-0.337793\pi\)
−0.512084 + 0.858936i \(0.671126\pi\)
\(558\) 1.65546e8 + 1.48391e8i 0.952834 + 0.854090i
\(559\) −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 −0.449564 0.893248i \(-0.648421\pi\)
−0.998358 + 0.0572897i \(0.981754\pi\)
\(564\) 8.70692e6 + 1.94974e7i 0.0485319 + 0.108678i
\(565\) −5.37375e7 9.30760e7i −0.297942 0.516051i
\(566\) 2.63936e7i 0.145563i
\(567\) 6.86173e7 + 1.68876e8i 0.376430 + 0.926445i
\(568\) 1.66629e8 0.909298
\(569\) −1.64780e8 + 9.51358e7i −0.894475 + 0.516425i −0.875403 0.483393i \(-0.839404\pi\)
−0.0190711 + 0.999818i \(0.506071\pi\)
\(570\) 5.43863e7 2.42872e7i 0.293674 0.131145i
\(571\) −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
\(576\) −1.37774e8 + 1.53703e8i −0.720941 + 0.804292i
\(577\) 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
\(579\) −612569. + 5.89149e6i −0.00315587 + 0.0303522i
\(580\) 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
\(585\) 8.20700e6 3.90395e7i 0.0409937 0.195001i
\(586\) −1.00924e8 1.74805e8i −0.501534 0.868682i
\(587\) 4.50405e7i 0.222684i −0.993782 0.111342i \(-0.964485\pi\)
0.993782 0.111342i \(-0.0355149\pi\)
\(588\) −2.86336e7 5.92908e7i −0.140846 0.291646i
\(589\) −2.34325e8 −1.14676
\(590\) −1.18608e8 + 6.84786e7i −0.577510 + 0.333426i
\(591\) 8.70115e7 + 1.94845e8i 0.421516 + 0.943903i
\(592\) −5.65703e7 + 9.79827e7i −0.272661 + 0.472263i
\(593\) 4.76852e6 2.75311e6i 0.0228675 0.0132026i −0.488523 0.872551i \(-0.662464\pi\)
0.511390 + 0.859349i \(0.329131\pi\)
\(594\) −2.75780e7 + 8.58541e7i −0.131584 + 0.409639i
\(595\) −1.20933e8 + 3.43500e7i −0.574108 + 0.163071i
\(596\) 2.59124e7i 0.122397i
\(597\) 2.48149e7 2.38662e8i 0.116624 1.12166i
\(598\) −5.39442e7 + 9.34342e7i −0.252256 + 0.436920i
\(599\) 3.14579e8 + 1.81622e8i 1.46369 + 0.845062i 0.999179 0.0405046i \(-0.0128966\pi\)
0.464512 + 0.885567i \(0.346230\pi\)
\(600\) 1.67981e8 + 1.74659e7i 0.777692 + 0.0808606i
\(601\) 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
\(606\) −2.38575e8 + 1.06540e8i −1.07203 + 0.478734i
\(607\) −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
\(609\) 1.39119e8 + 1.66262e8i 0.615933 + 0.736105i
\(610\) 1.10398e8 0.486376
\(611\) 2.72525e7 1.57342e7i 0.119477 0.0689798i
\(612\) 1.71727e7 8.16880e7i 0.0749177 0.356373i
\(613\) −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 \(0.0107959\pi\)
−0.999425 + 0.0339098i \(0.989204\pi\)
\(618\) −1.31610e8 1.36842e7i −0.557603 0.0579769i
\(619\) 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
\(621\) 8.26606e7 + 3.82580e8i 0.345163 + 1.59752i
\(622\) 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
\(627\) −3.87551e7 8.67844e7i −0.157227 0.352078i
\(628\) 3.00215e7 + 5.19988e7i 0.121214 + 0.209949i
\(629\) 2.67123e8i 1.07340i
\(630\) −6.10028e7 9.04922e7i −0.243965 0.361901i
\(631\) −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
\(633\) −9.75787e7 + 4.35755e7i −0.384719 + 0.171803i
\(634\) −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
\(639\) −1.62291e8 1.45472e8i −0.622001 0.557541i
\(640\) 1.87334e7 3.24472e7i 0.0714623 0.123776i
\(641\) −4.13537e8 2.38755e8i −1.57015 0.906524i −0.996150 0.0876653i \(-0.972059\pi\)
−0.573995 0.818859i \(-0.694607\pi\)
\(642\) 2.83759e7 2.72911e8i 0.107237 1.03137i
\(643\) 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 0.808990 0.587823i \(-0.200015\pi\)
−0.104575 + 0.994517i \(0.533348\pi\)
\(648\) 2.94436e8 3.22770e7i 1.08210 0.118623i
\(649\) 1.09272e8 + 1.89264e8i 0.399736 + 0.692362i
\(650\) 6.08890e7i 0.221717i
\(651\) 7.39694e7 + 4.22920e8i 0.268108 + 1.53291i
\(652\) −1.01390e7 −0.0365806
\(653\) −1.16639e8 + 6.73418e7i −0.418895 + 0.241849i −0.694605 0.719392i \(-0.744421\pi\)
0.275709 + 0.961241i \(0.411087\pi\)
\(654\) −1.38846e8 3.10917e8i −0.496362 1.11151i
\(655\) −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 \(-0.771843\pi\)
0.753928 0.656957i \(-0.228157\pi\)
\(660\) −2.67448e6 + 2.57223e7i −0.00930266 + 0.0894700i
\(661\) 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
\(663\) −1.22356e8 1.27220e7i −0.419842 0.0436532i
\(664\) 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
\(669\) 5.10486e8 2.27966e8i 1.70493 0.761364i
\(670\) 3.62027e7 + 6.27050e7i 0.120370 + 0.208486i
\(671\) 1.76163e8i 0.583104i
\(672\) −1.84998e8 + 3.23565e7i −0.609621 + 0.106624i
\(673\) −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
\(675\) −1.48359e8 1.63664e8i −0.482396 0.532158i
\(676\) 4.29749e7 7.44347e7i 0.139115 0.240955i
\(677\) 4.36085e8 2.51774e8i 1.40542 0.811417i 0.410475 0.911872i \(-0.365363\pi\)
0.994942 + 0.100455i \(0.0320297\pi\)
\(678\) −2.32943e8 1.68846e8i −0.747414 0.541754i
\(679\) −7.00297e7 + 1.98914e7i −0.223704 + 0.0635412i
\(680\) 2.04282e8i 0.649684i
\(681\) 1.46074e8 + 1.51881e7i 0.462523 + 0.0480909i
\(682\) −1.06196e8 + 1.83936e8i −0.334776 + 0.579849i
\(683\) 4.47198e8 + 2.58190e8i 1.40358 + 0.810359i 0.994758 0.102255i \(-0.0326056\pi\)
0.408824 + 0.912613i \(0.365939\pi\)
\(684\) −5.09788e7 + 5.68727e7i −0.159302 + 0.177720i
\(685\) 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
\(690\) −9.55522e7 2.13970e8i −0.290866 0.651338i
\(691\) −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
\(693\) −1.44399e8 + 9.73423e7i −0.433874 + 0.292484i
\(694\) −2.41441e8 −0.722324
\(695\) −2.65434e8 + 1.53248e8i −0.790683 + 0.456501i
\(696\) 3.21651e8 1.43639e8i 0.954019 0.426034i
\(697\) −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 \(-0.924616\pi\)
0.972087 0.234619i \(-0.0753843\pi\)
\(702\) −2.25526e7 1.04381e8i −0.0651907 0.301724i
\(703\) −1.22206e8 + 2.11667e8i −0.351743 + 0.609237i
\(704\) −1.70777e8 9.85981e7i −0.489453 0.282586i
\(705\) −7.06863e6 + 6.79838e7i −0.0201729 + 0.194016i
\(706\) −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
\(711\) 4.42705e8 + 9.30669e7i 1.23170 + 0.258932i
\(712\) −2.09061e8 3.62104e8i −0.579206 1.00321i
\(713\) 9.21896e8i 2.54339i
\(714\) −2.58097e8 + 2.15962e8i −0.709069 + 0.593311i
\(715\) 3.81116e7 0.104265
\(716\) −2.56766e7 + 1.48244e7i −0.0699517 + 0.0403866i
\(717\) 1.50941e7 + 3.38002e7i 0.0409495 + 0.0916984i
\(718\) −1.23315e8 + 2.13588e8i −0.333152 + 0.577035i
\(719\) −5.37512e8 + 3.10332e8i −1.44611 + 0.834912i −0.998247 0.0591908i \(-0.981148\pi\)
−0.447863 + 0.894102i \(0.647815\pi\)
\(720\) −1.07553e8 + 3.52119e7i −0.288155 + 0.0943392i
\(721\) −1.83373e8 1.77969e8i −0.489248 0.474831i
\(722\) 1.41419e8i 0.375748i
\(723\) 3.62600e7 3.48738e8i 0.0959430 0.922749i
\(724\) −4.06461e7 + 7.04011e7i −0.107103 + 0.185509i
\(725\) −2.27515e8 1.31356e8i −0.597029 0.344695i
\(726\) 2.27273e8 + 2.36308e7i 0.593935 + 0.0617545i
\(727\) −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
\(732\) −1.29258e8 + 5.77226e7i −0.329553 + 0.147168i
\(733\) 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
\(735\) 1.55180e7 2.10187e8i 0.0390818 0.529351i
\(736\) −4.03266e8 −1.01148
\(737\) 1.00059e8 5.77688e7i 0.249949 0.144308i
\(738\) −7.46390e7 1.56908e7i −0.185694 0.0390371i
\(739\) −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 \(0.208385\pi\)
−0.793255 + 0.608890i \(0.791615\pi\)
\(744\) 6.93910e8 + 7.21494e7i 1.68494 + 0.175192i
\(745\) 4.14720e7 7.18317e7i 0.100297 0.173719i
\(746\) −5.70179e7 3.29193e7i −0.137339 0.0792929i
\(747\) −2.25241e8 2.01899e8i −0.540364 0.484365i
\(748\) 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
\(753\) −2.06616e8 4.62676e8i −0.483927 1.08366i
\(754\) −6.35014e7 1.09988e8i −0.148139 0.256584i
\(755\) 3.62087e8i 0.841341i
\(756\) 1.18739e8 + 7.40560e7i 0.274807 + 0.171394i
\(757\) 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
\(759\) −3.41433e8 + 1.52473e8i −0.780873 + 0.348712i
\(760\) 9.34564e7 1.61871e8i 0.212896 0.368747i
\(761\) 3.20644e8 1.85124e8i 0.727561 0.420058i −0.0899682 0.995945i \(-0.528677\pi\)
0.817529 + 0.575887i \(0.195343\pi\)
\(762\) −2.44440e8 + 3.37234e8i −0.552468 + 0.762196i
\(763\) 1.60681e8 6.37661e8i 0.361735 1.43554i