Properties

Label 43.7.f.a.2.8
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.72088 - 5.64997i) q^{2} +(-8.85233 + 18.3821i) q^{3} +(15.3844 - 19.2915i) q^{4} +(-52.8314 - 12.0584i) q^{5} +127.944 q^{6} -8.48034i q^{7} +(-542.136 - 123.739i) q^{8} +(194.988 + 244.507i) q^{9} +O(q^{10})\) \(q+(-2.72088 - 5.64997i) q^{2} +(-8.85233 + 18.3821i) q^{3} +(15.3844 - 19.2915i) q^{4} +(-52.8314 - 12.0584i) q^{5} +127.944 q^{6} -8.48034i q^{7} +(-542.136 - 123.739i) q^{8} +(194.988 + 244.507i) q^{9} +(75.6182 + 331.305i) q^{10} +(-101.284 - 127.006i) q^{11} +(218.429 + 453.572i) q^{12} +(-890.251 + 3900.44i) q^{13} +(-47.9136 + 23.0740i) q^{14} +(689.339 - 864.404i) q^{15} +(424.565 + 1860.14i) q^{16} +(271.872 + 1191.15i) q^{17} +(850.918 - 1766.95i) q^{18} +(9494.57 + 7571.67i) q^{19} +(-1045.41 + 833.683i) q^{20} +(155.886 + 75.0708i) q^{21} +(-441.999 + 917.821i) q^{22} +(13139.6 + 16476.5i) q^{23} +(7073.74 - 8870.19i) q^{24} +(-11431.9 - 5505.31i) q^{25} +(24459.6 - 5582.75i) q^{26} +(-20721.2 + 4729.47i) q^{27} +(-163.598 - 130.465i) q^{28} +(-14193.9 - 29473.9i) q^{29} +(-6759.46 - 1542.80i) q^{30} +(-33403.3 + 16086.2i) q^{31} +(-18470.1 + 14729.4i) q^{32} +(3231.24 - 737.509i) q^{33} +(5990.21 - 4777.03i) q^{34} +(-102.260 + 448.028i) q^{35} +7716.68 q^{36} +37913.0i q^{37} +(16946.1 - 74245.6i) q^{38} +(-63817.4 - 50892.7i) q^{39} +(27149.7 + 13074.6i) q^{40} +(-23754.8 + 11439.7i) q^{41} -1085.01i q^{42} +(-12762.6 - 78476.0i) q^{43} -4008.34 q^{44} +(-7353.12 - 15268.9i) q^{45} +(57340.6 - 119069. i) q^{46} +(50642.7 - 63504.0i) q^{47} +(-37951.6 - 8662.20i) q^{48} +117577. q^{49} +79569.0i q^{50} +(-24302.4 - 5546.87i) q^{51} +(61549.3 + 77180.3i) q^{52} +(14191.9 + 62178.7i) q^{53} +(83101.2 + 104206. i) q^{54} +(3819.49 + 7931.24i) q^{55} +(-1049.35 + 4597.50i) q^{56} +(-223232. + 107503. i) q^{57} +(-127907. + 160390. i) q^{58} +(-43420.1 - 190236. i) q^{59} +(-6070.53 - 26596.7i) q^{60} +(-22368.4 + 46448.5i) q^{61} +(181773. + 144959. i) q^{62} +(2073.50 - 1653.56i) q^{63} +(243493. + 117260. i) q^{64} +(94066.4 - 195331. i) q^{65} +(-12958.7 - 16249.7i) q^{66} +(-329208. + 412814. i) q^{67} +(27161.6 + 13080.3i) q^{68} +(-419188. + 95677.0i) q^{69} +(2809.58 - 641.268i) q^{70} +(-102133. - 81448.3i) q^{71} +(-75454.9 - 156684. i) q^{72} +(489171. + 111650. i) q^{73} +(214207. - 103157. i) q^{74} +(202398. - 161407. i) q^{75} +(292137. - 66678.4i) q^{76} +(-1077.06 + 858.924i) q^{77} +(-113902. + 499039. i) q^{78} -304493. q^{79} -103393. i q^{80} +(45761.9 - 200496. i) q^{81} +(129268. + 103088. i) q^{82} +(-166646. - 80252.7i) q^{83} +(3846.44 - 1852.35i) q^{84} -66208.3i q^{85} +(-408661. + 285632. i) q^{86} +667440. q^{87} +(39194.1 + 81387.5i) q^{88} +(9039.69 - 18771.1i) q^{89} +(-66261.8 + 83089.7i) q^{90} +(33077.1 + 7549.63i) q^{91} +520002. q^{92} -756421. i q^{93} +(-496588. - 113343. i) q^{94} +(-410309. - 514511. i) q^{95} +(-107253. - 469907. i) q^{96} +(-101384. - 127131. i) q^{97} +(-319913. - 664306. i) q^{98} +(11304.8 - 49529.4i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.72088 5.64997i −0.340110 0.706246i 0.658829 0.752292i \(-0.271052\pi\)
−0.998939 + 0.0460468i \(0.985338\pi\)
\(3\) −8.85233 + 18.3821i −0.327864 + 0.680817i −0.998118 0.0613147i \(-0.980471\pi\)
0.670254 + 0.742131i \(0.266185\pi\)
\(4\) 15.3844 19.2915i 0.240382 0.301429i
\(5\) −52.8314 12.0584i −0.422651 0.0964674i 0.00590491 0.999983i \(-0.498120\pi\)
−0.428556 + 0.903515i \(0.640978\pi\)
\(6\) 127.944 0.592334
\(7\) 8.48034i 0.0247240i −0.999924 0.0123620i \(-0.996065\pi\)
0.999924 0.0123620i \(-0.00393505\pi\)
\(8\) −542.136 123.739i −1.05886 0.241678i
\(9\) 194.988 + 244.507i 0.267473 + 0.335401i
\(10\) 75.6182 + 331.305i 0.0756182 + 0.331305i
\(11\) −101.284 127.006i −0.0760963 0.0954217i 0.742326 0.670039i \(-0.233722\pi\)
−0.818422 + 0.574617i \(0.805151\pi\)
\(12\) 218.429 + 453.572i 0.126405 + 0.262484i
\(13\) −890.251 + 3900.44i −0.405212 + 1.77535i 0.200529 + 0.979688i \(0.435734\pi\)
−0.605741 + 0.795662i \(0.707123\pi\)
\(14\) −47.9136 + 23.0740i −0.0174612 + 0.00840889i
\(15\) 689.339 864.404i 0.204249 0.256120i
\(16\) 424.565 + 1860.14i 0.103654 + 0.454136i
\(17\) 271.872 + 1191.15i 0.0553372 + 0.242448i 0.995031 0.0995700i \(-0.0317467\pi\)
−0.939693 + 0.342018i \(0.888890\pi\)
\(18\) 850.918 1766.95i 0.145905 0.302975i
\(19\) 9494.57 + 7571.67i 1.38425 + 1.10390i 0.982107 + 0.188326i \(0.0603061\pi\)
0.402143 + 0.915577i \(0.368265\pi\)
\(20\) −1045.41 + 833.683i −0.130676 + 0.104210i
\(21\) 155.886 + 75.0708i 0.0168325 + 0.00810612i
\(22\) −441.999 + 917.821i −0.0415101 + 0.0861965i
\(23\) 13139.6 + 16476.5i 1.07994 + 1.35420i 0.930861 + 0.365372i \(0.119058\pi\)
0.149076 + 0.988826i \(0.452370\pi\)
\(24\) 7073.74 8870.19i 0.511700 0.641652i
\(25\) −11431.9 5505.31i −0.731641 0.352340i
\(26\) 24459.6 5582.75i 1.39165 0.317635i
\(27\) −20721.2 + 4729.47i −1.05275 + 0.240282i
\(28\) −163.598 130.465i −0.00745254 0.00594320i
\(29\) −14193.9 29473.9i −0.581979 1.20849i −0.959294 0.282408i \(-0.908867\pi\)
0.377315 0.926085i \(-0.376847\pi\)
\(30\) −6759.46 1542.80i −0.250350 0.0571409i
\(31\) −33403.3 + 16086.2i −1.12125 + 0.539968i −0.900280 0.435312i \(-0.856638\pi\)
−0.220975 + 0.975280i \(0.570924\pi\)
\(32\) −18470.1 + 14729.4i −0.563661 + 0.449505i
\(33\) 3231.24 737.509i 0.0899139 0.0205223i
\(34\) 5990.21 4777.03i 0.152407 0.121541i
\(35\) −102.260 + 448.028i −0.00238506 + 0.0104496i
\(36\) 7716.68 0.165395
\(37\) 37913.0i 0.748484i 0.927331 + 0.374242i \(0.122097\pi\)
−0.927331 + 0.374242i \(0.877903\pi\)
\(38\) 16946.1 74245.6i 0.308829 1.35307i
\(39\) −63817.4 50892.7i −1.07583 0.857949i
\(40\) 27149.7 + 13074.6i 0.424214 + 0.204291i
\(41\) −23754.8 + 11439.7i −0.344667 + 0.165983i −0.598206 0.801342i \(-0.704120\pi\)
0.253539 + 0.967325i \(0.418405\pi\)
\(42\) 1085.01i 0.0146449i
\(43\) −12762.6 78476.0i −0.160521 0.987032i
\(44\) −4008.34 −0.0470550
\(45\) −7353.12 15268.9i −0.0806926 0.167560i
\(46\) 57340.6 119069.i 0.589099 1.22328i
\(47\) 50642.7 63504.0i 0.487779 0.611656i −0.475645 0.879638i \(-0.657785\pi\)
0.963424 + 0.267981i \(0.0863566\pi\)
\(48\) −37951.6 8662.20i −0.343168 0.0783258i
\(49\) 117577. 0.999389
\(50\) 79569.0i 0.636552i
\(51\) −24302.4 5546.87i −0.183206 0.0418155i
\(52\) 61549.3 + 77180.3i 0.437737 + 0.548904i
\(53\) 14191.9 + 62178.7i 0.0953263 + 0.417652i 0.999964 0.00853056i \(-0.00271540\pi\)
−0.904637 + 0.426182i \(0.859858\pi\)
\(54\) 83101.2 + 104206.i 0.527747 + 0.661774i
\(55\) 3819.49 + 7931.24i 0.0229571 + 0.0476709i
\(56\) −1049.35 + 4597.50i −0.00597525 + 0.0261793i
\(57\) −223232. + 107503.i −1.20540 + 0.580491i
\(58\) −127907. + 160390.i −0.655556 + 0.822041i
\(59\) −43420.1 190236.i −0.211414 0.926267i −0.963607 0.267324i \(-0.913861\pi\)
0.752192 0.658944i \(-0.228996\pi\)
\(60\) −6070.53 26596.7i −0.0281043 0.123133i
\(61\) −22368.4 + 46448.5i −0.0985475 + 0.204636i −0.944414 0.328759i \(-0.893370\pi\)
0.845866 + 0.533395i \(0.179084\pi\)
\(62\) 181773. + 144959.i 0.762699 + 0.608233i
\(63\) 2073.50 1653.56i 0.00829246 0.00661302i
\(64\) 243493. + 117260.i 0.928852 + 0.447312i
\(65\) 94066.4 195331.i 0.342527 0.711264i
\(66\) −12958.7 16249.7i −0.0450744 0.0565215i
\(67\) −329208. + 412814.i −1.09458 + 1.37255i −0.172743 + 0.984967i \(0.555263\pi\)
−0.921833 + 0.387587i \(0.873309\pi\)
\(68\) 27161.6 + 13080.3i 0.0863830 + 0.0415998i
\(69\) −419188. + 95677.0i −1.27603 + 0.291246i
\(70\) 2809.58 641.268i 0.00819120 0.00186959i
\(71\) −102133. 81448.3i −0.285358 0.227566i 0.470340 0.882485i \(-0.344131\pi\)
−0.755699 + 0.654919i \(0.772703\pi\)
\(72\) −75454.9 156684.i −0.202158 0.419785i
\(73\) 489171. + 111650.i 1.25746 + 0.287006i 0.798794 0.601605i \(-0.205472\pi\)
0.458662 + 0.888611i \(0.348329\pi\)
\(74\) 214207. 103157.i 0.528614 0.254567i
\(75\) 202398. 161407.i 0.479757 0.382594i
\(76\) 292137. 66678.4i 0.665497 0.151895i
\(77\) −1077.06 + 858.924i −0.00235921 + 0.00188141i
\(78\) −113902. + 499039.i −0.240021 + 1.05160i
\(79\) −304493. −0.617584 −0.308792 0.951130i \(-0.599925\pi\)
−0.308792 + 0.951130i \(0.599925\pi\)
\(80\) 103393.i 0.201940i
\(81\) 45761.9 200496.i 0.0861091 0.377268i
\(82\) 129268. + 103088.i 0.234449 + 0.186967i
\(83\) −166646. 80252.7i −0.291448 0.140354i 0.282447 0.959283i \(-0.408854\pi\)
−0.573895 + 0.818929i \(0.694568\pi\)
\(84\) 3846.44 1852.35i 0.00648965 0.00312525i
\(85\) 66208.3i 0.107809i
\(86\) −408661. + 285632.i −0.642492 + 0.449067i
\(87\) 667440. 1.01357
\(88\) 39194.1 + 81387.5i 0.0575139 + 0.119429i
\(89\) 9039.69 18771.1i 0.0128228 0.0266269i −0.894459 0.447150i \(-0.852439\pi\)
0.907282 + 0.420523i \(0.138153\pi\)
\(90\) −66261.8 + 83089.7i −0.0908941 + 0.113978i
\(91\) 33077.1 + 7549.63i 0.0438938 + 0.0100185i
\(92\) 520002. 0.667792
\(93\) 756421.i 0.940405i
\(94\) −496588. 113343.i −0.597878 0.136462i
\(95\) −410309. 514511.i −0.478564 0.600101i
\(96\) −107253. 469907.i −0.121226 0.531127i
\(97\) −101384. 127131.i −0.111085 0.139296i 0.723181 0.690659i \(-0.242679\pi\)
−0.834265 + 0.551363i \(0.814108\pi\)
\(98\) −319913. 664306.i −0.339902 0.705814i
\(99\) 11304.8 49529.4i 0.0116508 0.0510455i
\(100\) −282079. + 135842.i −0.282079 + 0.135842i
\(101\) −408215. + 511886.i −0.396210 + 0.496832i −0.939421 0.342764i \(-0.888637\pi\)
0.543211 + 0.839596i \(0.317208\pi\)
\(102\) 34784.4 + 152400.i 0.0327781 + 0.143610i
\(103\) 247753. + 1.08548e6i 0.226729 + 0.993367i 0.952287 + 0.305205i \(0.0987249\pi\)
−0.725557 + 0.688162i \(0.758418\pi\)
\(104\) 965274. 2.00441e6i 0.858125 1.78192i
\(105\) −7330.44 5845.83i −0.00633231 0.00504985i
\(106\) 312693. 249364.i 0.262543 0.209371i
\(107\) −2.03707e6 981000.i −1.66285 0.800789i −0.998578 0.0533013i \(-0.983026\pi\)
−0.664276 0.747487i \(-0.731260\pi\)
\(108\) −227545. + 472502.i −0.180633 + 0.375088i
\(109\) 767529. + 962451.i 0.592673 + 0.743189i 0.984216 0.176971i \(-0.0566300\pi\)
−0.391543 + 0.920160i \(0.628059\pi\)
\(110\) 34418.9 43159.9i 0.0258594 0.0324267i
\(111\) −696918. 335618.i −0.509581 0.245401i
\(112\) 15774.6 3600.46i 0.0112281 0.00256273i
\(113\) 1.77057e6 404120.i 1.22709 0.280076i 0.440615 0.897696i \(-0.354760\pi\)
0.786476 + 0.617621i \(0.211903\pi\)
\(114\) 1.21477e6 + 968750.i 0.819938 + 0.653879i
\(115\) −495502. 1.02892e6i −0.325801 0.676532i
\(116\) −786960. 179619.i −0.504172 0.115074i
\(117\) −1.12727e6 + 542867.i −0.703837 + 0.338950i
\(118\) −956685. + 762931.i −0.582268 + 0.464343i
\(119\) 10101.3 2305.56i 0.00599429 0.00136816i
\(120\) −480676. + 383326.i −0.278169 + 0.221832i
\(121\) 388337. 1.70142e6i 0.219206 0.960405i
\(122\) 323294. 0.178040
\(123\) 537930.i 0.289075i
\(124\) −203565. + 891875.i −0.106767 + 0.467777i
\(125\) 1.19957e6 + 956625.i 0.614179 + 0.489792i
\(126\) −14984.3 7216.08i −0.00749076 0.00360736i
\(127\) −2.28356e6 + 1.09970e6i −1.11481 + 0.536865i −0.898285 0.439412i \(-0.855187\pi\)
−0.216525 + 0.976277i \(0.569472\pi\)
\(128\) 182836.i 0.0871831i
\(129\) 1.55553e6 + 460093.i 0.724617 + 0.214327i
\(130\) −1.35956e6 −0.618824
\(131\) 1.01045e6 + 2.09822e6i 0.449469 + 0.933332i 0.995428 + 0.0955198i \(0.0304513\pi\)
−0.545959 + 0.837812i \(0.683834\pi\)
\(132\) 35483.1 73681.4i 0.0154277 0.0320358i
\(133\) 64210.3 80517.2i 0.0272929 0.0342242i
\(134\) 3.22812e6 + 736797.i 1.34164 + 0.306220i
\(135\) 1.15176e6 0.468123
\(136\) 679405.i 0.270092i
\(137\) −1.21592e6 277527.i −0.472874 0.107930i −0.0205588 0.999789i \(-0.506545\pi\)
−0.452315 + 0.891858i \(0.649402\pi\)
\(138\) 1.68113e6 + 2.10807e6i 0.639683 + 0.802137i
\(139\) 811312. + 3.55459e6i 0.302095 + 1.32356i 0.866958 + 0.498380i \(0.166072\pi\)
−0.564863 + 0.825184i \(0.691071\pi\)
\(140\) 7069.92 + 8865.40i 0.00257650 + 0.00323083i
\(141\) 719027. + 1.49308e6i 0.256500 + 0.532628i
\(142\) −182289. + 798658.i −0.0636641 + 0.278930i
\(143\) 585549. 281986.i 0.200242 0.0964315i
\(144\) −372033. + 466514.i −0.124593 + 0.156235i
\(145\) 394474. + 1.72830e6i 0.129394 + 0.566913i
\(146\) −700157. 3.06759e6i −0.224976 0.985686i
\(147\) −1.04083e6 + 2.16131e6i −0.327664 + 0.680401i
\(148\) 731397. + 583270.i 0.225615 + 0.179922i
\(149\) 4.66918e6 3.72355e6i 1.41150 1.12564i 0.437470 0.899233i \(-0.355875\pi\)
0.974034 0.226404i \(-0.0726968\pi\)
\(150\) −1.46264e6 704371.i −0.433376 0.208703i
\(151\) 40526.0 84153.0i 0.0117707 0.0244421i −0.895001 0.446065i \(-0.852825\pi\)
0.906771 + 0.421623i \(0.138539\pi\)
\(152\) −4.21044e6 5.27972e6i −1.19894 1.50342i
\(153\) −238232. + 298734.i −0.0665161 + 0.0834085i
\(154\) 7783.43 + 3748.30i 0.00213113 + 0.00102630i
\(155\) 1.95872e6 447064.i 0.525989 0.120053i
\(156\) −1.96359e6 + 448176.i −0.517221 + 0.118052i
\(157\) 207615. + 165568.i 0.0536489 + 0.0427836i 0.649947 0.759979i \(-0.274791\pi\)
−0.596298 + 0.802763i \(0.703362\pi\)
\(158\) 828489. + 1.72038e6i 0.210047 + 0.436166i
\(159\) −1.26860e6 289551.i −0.315598 0.0720332i
\(160\) 1.15341e6 555454.i 0.281595 0.135609i
\(161\) 139727. 111428.i 0.0334812 0.0267004i
\(162\) −1.25731e6 + 286972.i −0.295731 + 0.0674986i
\(163\) 1.11325e6 887788.i 0.257057 0.204997i −0.486478 0.873693i \(-0.661719\pi\)
0.743536 + 0.668696i \(0.233147\pi\)
\(164\) −144765. + 634258.i −0.0328196 + 0.143792i
\(165\) −179604. −0.0399819
\(166\) 1.15990e6i 0.253570i
\(167\) 600019. 2.62885e6i 0.128830 0.564439i −0.868771 0.495213i \(-0.835090\pi\)
0.997601 0.0692260i \(-0.0220529\pi\)
\(168\) −75222.3 59987.8i −0.0158642 0.0126513i
\(169\) −1.00721e7 4.85047e6i −2.08670 1.00490i
\(170\) −374075. + 180145.i −0.0761398 + 0.0366670i
\(171\) 3.79787e6i 0.759543i
\(172\) −1.71026e6 961100.i −0.336107 0.188879i
\(173\) 3.43071e6 0.662591 0.331295 0.943527i \(-0.392514\pi\)
0.331295 + 0.943527i \(0.392514\pi\)
\(174\) −1.81602e6 3.77101e6i −0.344726 0.715831i
\(175\) −46686.9 + 96946.3i −0.00871126 + 0.0180891i
\(176\) 193248. 242325.i 0.0354468 0.0444488i
\(177\) 3.88129e6 + 885880.i 0.699934 + 0.159755i
\(178\) −130652. −0.0231663
\(179\) 30733.7i 0.00535866i 0.999996 + 0.00267933i \(0.000852858\pi\)
−0.999996 + 0.00267933i \(0.999147\pi\)
\(180\) −407683. 93051.0i −0.0699045 0.0159552i
\(181\) −2.09118e6 2.62226e6i −0.352660 0.442222i 0.573583 0.819147i \(-0.305553\pi\)
−0.926244 + 0.376925i \(0.876981\pi\)
\(182\) −47343.7 207426.i −0.00785322 0.0344072i
\(183\) −655806. 822354.i −0.107009 0.134186i
\(184\) −5.08466e6 1.05584e7i −0.816222 1.69490i
\(185\) 457171. 2.00300e6i 0.0722043 0.316348i
\(186\) −4.27375e6 + 2.05813e6i −0.664157 + 0.319841i
\(187\) 123747. 155174.i 0.0189238 0.0237298i
\(188\) −445975. 1.95394e6i −0.0671177 0.294062i
\(189\) 40107.6 + 175723.i 0.00594074 + 0.0260281i
\(190\) −1.79057e6 + 3.71815e6i −0.261054 + 0.542084i
\(191\) −2.75948e6 2.20061e6i −0.396029 0.315823i 0.405147 0.914252i \(-0.367220\pi\)
−0.801176 + 0.598429i \(0.795792\pi\)
\(192\) −4.31096e6 + 3.43788e6i −0.609075 + 0.485721i
\(193\) 8.59476e6 + 4.13902e6i 1.19553 + 0.575739i 0.922400 0.386237i \(-0.126225\pi\)
0.273135 + 0.961976i \(0.411940\pi\)
\(194\) −442434. + 918725.i −0.0605960 + 0.125829i
\(195\) 2.75788e6 + 3.45827e6i 0.371938 + 0.466396i
\(196\) 1.80886e6 2.26823e6i 0.240235 0.301245i
\(197\) 9.49957e6 + 4.57475e6i 1.24252 + 0.598368i 0.935498 0.353332i \(-0.114952\pi\)
0.307027 + 0.951701i \(0.400666\pi\)
\(198\) −310598. + 70892.0i −0.0400132 + 0.00913275i
\(199\) 5.85890e6 1.33726e6i 0.743459 0.169690i 0.166019 0.986123i \(-0.446909\pi\)
0.577440 + 0.816433i \(0.304052\pi\)
\(200\) 5.51642e6 + 4.39920e6i 0.689552 + 0.549899i
\(201\) −4.67410e6 9.70588e6i −0.575586 1.19522i
\(202\) 4.00284e6 + 913623.i 0.485640 + 0.110844i
\(203\) −249949. + 120369.i −0.0298788 + 0.0143889i
\(204\) −480886. + 383494.i −0.0566437 + 0.0451719i
\(205\) 1.39294e6 317930.i 0.161686 0.0369037i
\(206\) 5.45881e6 4.35325e6i 0.624448 0.497981i
\(207\) −1.46657e6 + 6.42545e6i −0.165345 + 0.724423i
\(208\) −7.63334e6 −0.848252
\(209\) 1.97276e6i 0.216090i
\(210\) −13083.5 + 57322.6i −0.00141275 + 0.00618967i
\(211\) −7.50061e6 5.98154e6i −0.798453 0.636745i 0.136851 0.990592i \(-0.456302\pi\)
−0.935303 + 0.353847i \(0.884873\pi\)
\(212\) 1.41785e6 + 682802.i 0.148807 + 0.0716617i
\(213\) 2.40130e6 1.15641e6i 0.248489 0.119666i
\(214\) 1.41785e7i 1.44674i
\(215\) −272032. + 4.29989e6i −0.0273719 + 0.432655i
\(216\) 1.18189e7 1.17278
\(217\) 136416. + 283271.i 0.0133502 + 0.0277219i
\(218\) 3.34946e6 6.95522e6i 0.323300 0.671339i
\(219\) −6.38267e6 + 8.00361e6i −0.607673 + 0.761998i
\(220\) 211766. + 48334.2i 0.0198879 + 0.00453927i
\(221\) −4.88804e6 −0.452853
\(222\) 4.85074e6i 0.443353i
\(223\) 1.79238e7 + 4.09099e6i 1.61628 + 0.368905i 0.932609 0.360889i \(-0.117527\pi\)
0.683668 + 0.729794i \(0.260384\pi\)
\(224\) 124910. + 156632.i 0.0111136 + 0.0139360i
\(225\) −882994. 3.86865e6i −0.0775193 0.339634i
\(226\) −7.10076e6 8.90407e6i −0.615148 0.771371i
\(227\) −4.51223e6 9.36975e6i −0.385757 0.801033i −0.999930 0.0118612i \(-0.996224\pi\)
0.614172 0.789172i \(-0.289490\pi\)
\(228\) −1.36041e6 + 5.96034e6i −0.114780 + 0.502882i
\(229\) 1.22855e6 591639.i 0.102303 0.0492664i −0.382033 0.924149i \(-0.624776\pi\)
0.484335 + 0.874882i \(0.339062\pi\)
\(230\) −4.46516e6 + 5.59914e6i −0.366990 + 0.460191i
\(231\) −6254.33 27402.0i −0.000507393 0.00222303i
\(232\) 4.04795e6 + 1.77352e7i 0.324169 + 1.42028i
\(233\) −8.02832e6 + 1.66710e7i −0.634683 + 1.31793i 0.297076 + 0.954854i \(0.403989\pi\)
−0.931759 + 0.363078i \(0.881726\pi\)
\(234\) 6.13436e6 + 4.89199e6i 0.478764 + 0.381802i
\(235\) −3.44128e6 + 2.74433e6i −0.265165 + 0.211462i
\(236\) −4.33792e6 2.08903e6i −0.330024 0.158931i
\(237\) 2.69547e6 5.59721e6i 0.202484 0.420462i
\(238\) −40510.9 50799.0i −0.00300497 0.00376812i
\(239\) 3.01935e6 3.78614e6i 0.221167 0.277334i −0.658853 0.752272i \(-0.728958\pi\)
0.880019 + 0.474938i \(0.157529\pi\)
\(240\) 1.90058e6 + 915272.i 0.137484 + 0.0662089i
\(241\) 8.65005e6 1.97432e6i 0.617970 0.141048i 0.0979353 0.995193i \(-0.468776\pi\)
0.520035 + 0.854145i \(0.325919\pi\)
\(242\) −1.06696e7 + 2.43526e6i −0.752836 + 0.171830i
\(243\) −8.83344e6 7.04443e6i −0.615617 0.490939i
\(244\) 551934. + 1.14610e6i 0.0379942 + 0.0788958i
\(245\) −6.21176e6 1.41779e6i −0.422393 0.0964084i
\(246\) −3.03929e6 + 1.46364e6i −0.204158 + 0.0983173i
\(247\) −3.79854e7 + 3.02924e7i −2.52073 + 2.01021i
\(248\) 2.00996e7 4.58760e6i 1.31775 0.300768i
\(249\) 2.95042e6 2.35288e6i 0.191111 0.152406i
\(250\) 2.14101e6 9.38038e6i 0.137025 0.600345i
\(251\) −1.43156e7 −0.905293 −0.452646 0.891690i \(-0.649520\pi\)
−0.452646 + 0.891690i \(0.649520\pi\)
\(252\) 65440.1i 0.00408924i
\(253\) 761790. 3.33762e6i 0.0470407 0.206099i
\(254\) 1.24266e7 + 9.90987e6i 0.758317 + 0.604737i
\(255\) 1.21704e6 + 586098.i 0.0733983 + 0.0353468i
\(256\) 1.45505e7 7.00717e6i 0.867280 0.417660i
\(257\) 1.85802e7i 1.09459i −0.836940 0.547295i \(-0.815658\pi\)
0.836940 0.547295i \(-0.184342\pi\)
\(258\) −1.63289e6 1.00405e7i −0.0950821 0.584653i
\(259\) 321515. 0.0185056
\(260\) −2.32106e6 4.81973e6i −0.132059 0.274222i
\(261\) 4.43895e6 9.21757e6i 0.249665 0.518436i
\(262\) 9.10554e6 1.14180e7i 0.506293 0.634871i
\(263\) 2.41181e7 + 5.50480e6i 1.32579 + 0.302604i 0.826063 0.563577i \(-0.190575\pi\)
0.499730 + 0.866181i \(0.333433\pi\)
\(264\) −1.84303e6 −0.100166
\(265\) 3.45612e6i 0.185717i
\(266\) −629628. 143708.i −0.0334533 0.00763550i
\(267\) 265029. + 332336.i 0.0139239 + 0.0174600i
\(268\) 2.89910e6 + 1.27018e7i 0.150612 + 0.659874i
\(269\) −1.19359e6 1.49672e6i −0.0613197 0.0768924i 0.750226 0.661182i \(-0.229945\pi\)
−0.811545 + 0.584289i \(0.801373\pi\)
\(270\) −3.13380e6 6.50740e6i −0.159213 0.330610i
\(271\) 2.33174e6 1.02160e7i 0.117158 0.513302i −0.881961 0.471323i \(-0.843777\pi\)
0.999118 0.0419792i \(-0.0133663\pi\)
\(272\) −2.10027e6 + 1.01144e6i −0.104368 + 0.0502612i
\(273\) −431587. + 541193.i −0.0212119 + 0.0265989i
\(274\) 1.74037e6 + 7.62505e6i 0.0846037 + 0.370673i
\(275\) 458660. + 2.00952e6i 0.0220543 + 0.0966261i
\(276\) −4.60322e6 + 9.55869e6i −0.218945 + 0.454644i
\(277\) −8.93733e6 7.12728e6i −0.420502 0.335339i 0.390271 0.920700i \(-0.372381\pi\)
−0.810773 + 0.585361i \(0.800953\pi\)
\(278\) 1.78758e7 1.42555e7i 0.832016 0.663511i
\(279\) −1.04464e7 5.03073e6i −0.481011 0.231643i
\(280\) 110877. 230239.i 0.00505089 0.0104883i
\(281\) −2.17844e7 2.73168e7i −0.981810 1.23115i −0.972909 0.231190i \(-0.925738\pi\)
−0.00890148 0.999960i \(-0.502833\pi\)
\(282\) 6.47944e6 8.12496e6i 0.288928 0.362304i
\(283\) −3.32220e6 1.59989e6i −0.146577 0.0705879i 0.359157 0.933277i \(-0.383064\pi\)
−0.505735 + 0.862689i \(0.668778\pi\)
\(284\) −3.14251e6 + 717258.i −0.137190 + 0.0313127i
\(285\) 1.30900e7 2.98770e6i 0.565462 0.129063i
\(286\) −3.18642e6 2.54108e6i −0.136209 0.108623i
\(287\) 97012.6 + 201449.i 0.00410377 + 0.00852156i
\(288\) −7.20288e6 1.64401e6i −0.301529 0.0688220i
\(289\) 2.04023e7 9.82522e6i 0.845250 0.407051i
\(290\) 8.69154e6 6.93127e6i 0.356371 0.284197i
\(291\) 3.23442e6 738235.i 0.131255 0.0299582i
\(292\) 9.67952e6 7.71916e6i 0.388781 0.310043i
\(293\) −8.61396e6 + 3.77402e7i −0.342452 + 1.50038i 0.451428 + 0.892307i \(0.350915\pi\)
−0.793880 + 0.608074i \(0.791942\pi\)
\(294\) 1.50433e7 0.591972
\(295\) 1.05740e7i 0.411883i
\(296\) 4.69131e6 2.05540e7i 0.180892 0.792540i
\(297\) 2.69940e6 + 2.15270e6i 0.103038 + 0.0821701i
\(298\) −3.37422e7 1.62494e7i −1.27504 0.614028i
\(299\) −7.59633e7 + 3.65820e7i −2.84178 + 1.36853i
\(300\) 6.38770e6i 0.236581i
\(301\) −665503. + 108231.i −0.0244034 + 0.00396873i
\(302\) −585728. −0.0212655
\(303\) −5.79586e6 1.20352e7i −0.208348 0.432640i
\(304\) −1.00533e7 + 2.08759e7i −0.357839 + 0.743061i
\(305\) 1.74185e6 2.18421e6i 0.0613919 0.0769830i
\(306\) 2.33604e6 + 533185.i 0.0815297 + 0.0186086i
\(307\) 1.39653e7 0.482652 0.241326 0.970444i \(-0.422418\pi\)
0.241326 + 0.970444i \(0.422418\pi\)
\(308\) 33992.1i 0.00116339i
\(309\) −2.21465e7 5.05480e6i −0.750637 0.171328i
\(310\) −7.85533e6 9.85027e6i −0.263681 0.330646i
\(311\) −2.58768e6 1.13373e7i −0.0860258 0.376904i 0.913528 0.406776i \(-0.133347\pi\)
−0.999554 + 0.0298724i \(0.990490\pi\)
\(312\) 2.83003e7 + 3.54874e7i 0.931809 + 1.16845i
\(313\) 8.22416e6 + 1.70776e7i 0.268200 + 0.556922i 0.990957 0.134179i \(-0.0428399\pi\)
−0.722757 + 0.691102i \(0.757126\pi\)
\(314\) 370556. 1.62351e6i 0.0119692 0.0524404i
\(315\) −129486. + 62356.9i −0.00414276 + 0.00199505i
\(316\) −4.68445e6 + 5.87412e6i −0.148456 + 0.186158i
\(317\) 9.30163e6 + 4.07531e7i 0.291999 + 1.27933i 0.881739 + 0.471738i \(0.156373\pi\)
−0.589740 + 0.807593i \(0.700770\pi\)
\(318\) 1.81577e6 + 7.95540e6i 0.0564650 + 0.247389i
\(319\) −2.30576e6 + 4.78795e6i −0.0710300 + 0.147495i
\(320\) −1.14501e7 9.13116e6i −0.349430 0.278661i
\(321\) 3.60656e7 2.87614e7i 1.09038 0.869549i
\(322\) −1.00975e6 486268.i −0.0302443 0.0145649i
\(323\) −6.43767e6 + 1.33680e7i −0.191039 + 0.396696i
\(324\) −3.16384e6 3.96733e6i −0.0930207 0.116644i
\(325\) 3.16504e7 3.96883e7i 0.921996 1.15615i
\(326\) −8.04499e6 3.87426e6i −0.232206 0.111824i
\(327\) −2.44862e7 + 5.58882e6i −0.700291 + 0.159837i
\(328\) 1.42939e7 3.26248e6i 0.405068 0.0924542i
\(329\) −538535. 429468.i −0.0151226 0.0120599i
\(330\) 488681. + 1.01476e6i 0.0135983 + 0.0282371i
\(331\) −8.51322e6 1.94309e6i −0.234752 0.0535807i 0.103526 0.994627i \(-0.466987\pi\)
−0.338278 + 0.941046i \(0.609845\pi\)
\(332\) −4.11195e6 + 1.98021e6i −0.112366 + 0.0541125i
\(333\) −9.27000e6 + 7.39258e6i −0.251042 + 0.200200i
\(334\) −1.64855e7 + 3.76271e6i −0.442449 + 0.100986i
\(335\) 2.23704e7 1.78398e7i 0.595030 0.474521i
\(336\) −73458.4 + 321842.i −0.00193653 + 0.00848449i
\(337\) 5.21802e7 1.36338 0.681688 0.731643i \(-0.261246\pi\)
0.681688 + 0.731643i \(0.261246\pi\)
\(338\) 7.01046e7i 1.81550i
\(339\) −8.24508e6 + 3.61240e7i −0.211639 + 0.927251i
\(340\) −1.27726e6 1.01858e6i −0.0324968 0.0259154i
\(341\) 5.42627e6 + 2.61315e6i 0.136848 + 0.0659025i
\(342\) 2.14579e7 1.03336e7i 0.536424 0.258328i
\(343\) 1.99480e6i 0.0494329i
\(344\) −2.79150e6 + 4.41239e7i −0.0685743 + 1.08392i
\(345\) 2.33000e7 0.567413
\(346\) −9.33455e6 1.93834e7i −0.225354 0.467952i
\(347\) −1.47842e7 + 3.06998e7i −0.353843 + 0.734762i −0.999585 0.0287928i \(-0.990834\pi\)
0.645742 + 0.763555i \(0.276548\pi\)
\(348\) 1.02682e7 1.28759e7i 0.243644 0.305520i
\(349\) 5.97958e7 + 1.36480e7i 1.40668 + 0.321065i 0.857433 0.514596i \(-0.172058\pi\)
0.549245 + 0.835661i \(0.314915\pi\)
\(350\) 674773. 0.0157381
\(351\) 8.50322e7i 1.96636i
\(352\) 3.74145e6 + 853961.i 0.0857851 + 0.0195799i
\(353\) −8.64043e6 1.08348e7i −0.196432 0.246317i 0.673854 0.738864i \(-0.264637\pi\)
−0.870286 + 0.492547i \(0.836066\pi\)
\(354\) −5.55534e6 2.43396e7i −0.125228 0.548659i
\(355\) 4.41369e6 + 5.53459e6i 0.0986544 + 0.123709i
\(356\) −223052. 463172.i −0.00494374 0.0102658i
\(357\) −47039.4 + 206093.i −0.00103385 + 0.00452958i
\(358\) 173645. 83622.8i 0.00378453 0.00182253i
\(359\) −1.12407e7 + 1.40954e7i −0.242946 + 0.304644i −0.888322 0.459220i \(-0.848129\pi\)
0.645377 + 0.763864i \(0.276700\pi\)
\(360\) 2.09703e6 + 9.18769e6i 0.0449466 + 0.196924i
\(361\) 2.23480e7 + 9.79131e7i 0.475026 + 2.08123i
\(362\) −9.12583e6 + 1.89500e7i −0.192374 + 0.399469i
\(363\) 2.78378e7 + 2.21999e7i 0.581990 + 0.464122i
\(364\) 654516. 521959.i 0.0135711 0.0108226i
\(365\) −2.44973e7 1.17973e7i −0.503778 0.242607i
\(366\) −2.86190e6 + 5.94281e6i −0.0583730 + 0.121213i
\(367\) −1.98184e7 2.48515e7i −0.400932 0.502753i 0.539852 0.841760i \(-0.318480\pi\)
−0.940784 + 0.339007i \(0.889909\pi\)
\(368\) −2.50700e7 + 3.14368e7i −0.503051 + 0.630806i
\(369\) −7.42899e6 3.57761e6i −0.147860 0.0712056i
\(370\) −1.25608e7 + 2.86691e6i −0.247977 + 0.0565990i
\(371\) 527297. 120352.i 0.0103260 0.00235685i
\(372\) −1.45925e7 1.16371e7i −0.283465 0.226056i
\(373\) −3.65843e7 7.59681e7i −0.704967 1.46388i −0.877850 0.478936i \(-0.841023\pi\)
0.172883 0.984942i \(-0.444692\pi\)
\(374\) −1.21343e6 276957.i −0.0231952 0.00529416i
\(375\) −2.82037e7 + 1.35822e7i −0.534826 + 0.257559i
\(376\) −3.53132e7 + 2.81613e7i −0.664313 + 0.529772i
\(377\) 1.27598e8 2.91233e7i 2.38132 0.543521i
\(378\) 883699. 704727.i 0.0163617 0.0130480i
\(379\) −6.16825e6 + 2.70249e7i −0.113304 + 0.496416i 0.886151 + 0.463397i \(0.153369\pi\)
−0.999455 + 0.0330195i \(0.989488\pi\)
\(380\) −1.62380e7 −0.295926
\(381\) 5.17115e7i 0.935000i
\(382\) −4.92517e6 + 2.15786e7i −0.0883550 + 0.387108i
\(383\) 3.27349e7 + 2.61052e7i 0.582660 + 0.464656i 0.869917 0.493198i \(-0.164172\pi\)
−0.287257 + 0.957853i \(0.592743\pi\)
\(384\) 3.36091e6 + 1.61853e6i 0.0593557 + 0.0285842i
\(385\) 67259.7 32390.5i 0.00117862 0.000567592i
\(386\) 5.98219e7i 1.04016i
\(387\) 1.66994e7 1.84224e7i 0.288116 0.317844i
\(388\) −4.01228e6 −0.0686905
\(389\) 643947. + 1.33717e6i 0.0109396 + 0.0227163i 0.906367 0.422491i \(-0.138844\pi\)
−0.895427 + 0.445207i \(0.853130\pi\)
\(390\) 1.20352e7 2.49914e7i 0.202890 0.421306i
\(391\) −1.60537e7 + 2.01307e7i −0.268562 + 0.336766i
\(392\) −6.37428e7 1.45489e7i −1.05821 0.241530i
\(393\) −4.75143e7 −0.782793
\(394\) 6.61196e7i 1.08104i
\(395\) 1.60868e7 + 3.67171e6i 0.261023 + 0.0595767i
\(396\) −781577. 980067.i −0.0125860 0.0157823i
\(397\) 4.66310e6 + 2.04304e7i 0.0745252 + 0.326516i 0.998424 0.0561206i \(-0.0178731\pi\)
−0.923899 + 0.382637i \(0.875016\pi\)
\(398\) −2.34968e7 2.94641e7i −0.372701 0.467352i
\(399\) 911660. + 1.89308e6i 0.0143521 + 0.0298024i
\(400\) 5.38707e6 2.36023e7i 0.0841729 0.368786i
\(401\) −2.98004e7 + 1.43511e7i −0.462156 + 0.222563i −0.650449 0.759550i \(-0.725419\pi\)
0.188292 + 0.982113i \(0.439705\pi\)
\(402\) −4.21202e7 + 5.28171e7i −0.648354 + 0.813010i
\(403\) −3.30059e7 1.44608e8i −0.504286 2.20942i
\(404\) 3.59487e6 + 1.57501e7i 0.0545179 + 0.238858i
\(405\) −4.83533e6 + 1.00407e7i −0.0727882 + 0.151146i
\(406\) 1.36016e6 + 1.08469e6i 0.0203242 + 0.0162080i
\(407\) 4.81519e6 3.83998e6i 0.0714216 0.0569569i
\(408\) 1.24889e7 + 6.01432e6i 0.183883 + 0.0885535i
\(409\) 3.53765e7 7.34601e7i 0.517065 1.07370i −0.465027 0.885296i \(-0.653955\pi\)
0.982092 0.188400i \(-0.0603303\pi\)
\(410\) −5.58633e6 7.00503e6i −0.0810541 0.101639i
\(411\) 1.58653e7 1.98944e7i 0.228519 0.286554i
\(412\) 2.47520e7 + 1.19199e7i 0.353931 + 0.170444i
\(413\) −1.61327e6 + 368217.i −0.0229011 + 0.00522702i
\(414\) 4.02939e7 9.19682e6i 0.567856 0.129610i
\(415\) 7.83644e6 + 6.24935e6i 0.109641 + 0.0874361i
\(416\) −4.10081e7 8.51543e7i −0.569626 1.18284i
\(417\) −7.25227e7 1.65528e7i −1.00015 0.228278i
\(418\) −1.11460e7 + 5.36764e6i −0.152613 + 0.0734945i
\(419\) −2.57557e7 + 2.05395e7i −0.350131 + 0.279220i −0.782724 0.622369i \(-0.786170\pi\)
0.432593 + 0.901590i \(0.357599\pi\)
\(420\) −225549. + 51480.2i −0.00304434 + 0.000694852i
\(421\) 2.34616e7 1.87100e7i 0.314421 0.250742i −0.453545 0.891234i \(-0.649841\pi\)
0.767965 + 0.640491i \(0.221269\pi\)
\(422\) −1.33872e7 + 5.86532e7i −0.178136 + 0.780467i
\(423\) 2.54019e7 0.335618
\(424\) 3.54654e7i 0.465273i
\(425\) 3.44963e6 1.51138e7i 0.0449371 0.196882i
\(426\) −1.30673e7 1.04208e7i −0.169027 0.134795i
\(427\) 393899. + 189692.i 0.00505942 + 0.00243649i
\(428\) −5.02641e7 + 2.42059e7i −0.641101 + 0.308738i
\(429\) 1.32598e7i 0.167945i
\(430\) 2.50344e7 1.01625e7i 0.314870 0.127819i
\(431\) 1.00993e8 1.26141 0.630707 0.776021i \(-0.282765\pi\)
0.630707 + 0.776021i \(0.282765\pi\)
\(432\) −1.75950e7 3.65363e7i −0.218242 0.453183i
\(433\) 3.17879e6 6.60082e6i 0.0391560 0.0813082i −0.880473 0.474096i \(-0.842775\pi\)
0.919629 + 0.392788i \(0.128489\pi\)
\(434\) 1.22930e6 1.54149e6i 0.0150380 0.0188570i
\(435\) −3.52618e7 8.04827e6i −0.428387 0.0977766i
\(436\) 3.03751e7 0.366486
\(437\) 2.55926e8i 3.06669i
\(438\) 6.25866e7 + 1.42850e7i 0.744833 + 0.170003i
\(439\) 1.38755e7 + 1.73993e7i 0.164004 + 0.205655i 0.857042 0.515246i \(-0.172300\pi\)
−0.693038 + 0.720901i \(0.743728\pi\)
\(440\) −1.08928e6 4.77243e6i −0.0127873 0.0560250i
\(441\) 2.29261e7 + 2.87484e7i 0.267310 + 0.335196i
\(442\) 1.32998e7 + 2.76172e7i 0.154020 + 0.319826i
\(443\) −2.96466e7 + 1.29890e8i −0.341007 + 1.49405i 0.455946 + 0.890008i \(0.349301\pi\)
−0.796953 + 0.604042i \(0.793556\pi\)
\(444\) −1.71963e7 + 8.28128e6i −0.196465 + 0.0946125i
\(445\) −703930. + 882700.i −0.00798820 + 0.0100169i
\(446\) −2.56546e7 1.12400e8i −0.289174 1.26696i
\(447\) 2.71133e7 + 1.18791e8i 0.303571 + 1.33003i
\(448\) 994406. 2.06490e6i 0.0110593 0.0229650i
\(449\) −5.54818e7 4.42453e7i −0.612931 0.488796i 0.267128 0.963661i \(-0.413925\pi\)
−0.880059 + 0.474865i \(0.842497\pi\)
\(450\) −1.94552e7 + 1.55150e7i −0.213500 + 0.170261i
\(451\) 3.85890e6 + 1.85835e6i 0.0420662 + 0.0202580i
\(452\) 1.94431e7 4.03740e7i 0.210547 0.437206i
\(453\) 1.18816e6 + 1.48990e6i 0.0127814 + 0.0160274i
\(454\) −4.06615e7 + 5.09879e7i −0.434526 + 0.544879i
\(455\) −1.65647e6 797715.i −0.0175853 0.00846864i
\(456\) 1.34324e8 3.06586e7i 1.41664 0.323339i
\(457\) −1.77087e7 + 4.04189e6i −0.185540 + 0.0423483i −0.314281 0.949330i \(-0.601763\pi\)
0.128741 + 0.991678i \(0.458906\pi\)
\(458\) −6.68548e6 5.33149e6i −0.0695883 0.0554948i
\(459\) −1.12670e7 2.33962e7i −0.116512 0.241939i
\(460\) −2.74724e7 6.27040e6i −0.282243 0.0644201i
\(461\) 1.08540e8 5.22699e7i 1.10786 0.533518i 0.211739 0.977326i \(-0.432087\pi\)
0.896122 + 0.443808i \(0.146373\pi\)
\(462\) −137803. + 109894.i −0.00139744 + 0.00111442i
\(463\) 3.65930e7 8.35212e6i 0.368685 0.0841499i −0.0341645 0.999416i \(-0.510877\pi\)
0.402849 + 0.915266i \(0.368020\pi\)
\(464\) 4.87994e7 3.89162e7i 0.488496 0.389562i
\(465\) −9.12124e6 + 3.99628e7i −0.0907184 + 0.397463i
\(466\) 1.16034e8 1.14665
\(467\) 4.80104e7i 0.471394i 0.971827 + 0.235697i \(0.0757374\pi\)
−0.971827 + 0.235697i \(0.924263\pi\)
\(468\) −6.86978e6 + 3.00985e7i −0.0670201 + 0.293634i
\(469\) 3.50080e6 + 2.79180e6i 0.0339351 + 0.0270623i
\(470\) 2.48687e7 + 1.19761e7i 0.239530 + 0.115351i
\(471\) −4.88136e6 + 2.35074e6i −0.0467173 + 0.0224979i
\(472\) 1.08506e8i 1.03188i
\(473\) −8.67430e6 + 9.56930e6i −0.0819692 + 0.0904267i
\(474\) −3.89581e7 −0.365816
\(475\) −6.68565e7 1.38829e8i −0.623825 1.29539i
\(476\) 110926. 230339.i 0.00102852 0.00213573i
\(477\) −1.24359e7 + 1.55941e7i −0.114583 + 0.143683i
\(478\) −2.96069e7 6.75757e6i −0.271087 0.0618738i
\(479\) 9.97778e7 0.907877 0.453939 0.891033i \(-0.350019\pi\)
0.453939 + 0.891033i \(0.350019\pi\)
\(480\) 2.61191e7i 0.236176i
\(481\) −1.47877e8 3.37521e7i −1.32882 0.303295i
\(482\) −3.46906e7 4.35006e7i −0.309792 0.388467i
\(483\) 811374. + 3.55486e6i 0.00720078 + 0.0315487i
\(484\) −2.68485e7 3.36669e7i −0.236801 0.296939i
\(485\) 3.82325e6 + 7.93906e6i 0.0335125 + 0.0695895i
\(486\) −1.57661e7 + 6.90757e7i −0.137346 + 0.601750i
\(487\) −1.79596e7 + 8.64891e6i −0.155493 + 0.0748815i −0.510012 0.860167i \(-0.670359\pi\)
0.354519 + 0.935049i \(0.384645\pi\)
\(488\) 1.78742e7 2.24135e7i 0.153804 0.192864i
\(489\) 6.46450e6 + 2.83228e7i 0.0552851 + 0.242220i
\(490\) 8.89097e6 + 3.89539e7i 0.0755720 + 0.331102i
\(491\) −9.24385e7 + 1.91951e8i −0.780924 + 1.62160i 0.00240532 + 0.999997i \(0.499234\pi\)
−0.783329 + 0.621607i \(0.786480\pi\)
\(492\) −1.03775e7 8.27575e6i −0.0871356 0.0694883i
\(493\) 3.12489e7 2.49201e7i 0.260792 0.207974i
\(494\) 2.74504e8 + 1.32194e8i 2.27703 + 1.09656i
\(495\) −1.19449e6 + 2.48039e6i −0.00984845 + 0.0204505i
\(496\) −4.41044e7 5.53052e7i −0.361441 0.453232i
\(497\) −690709. + 866122.i −0.00562634 + 0.00705521i
\(498\) −2.13214e7 1.02679e7i −0.172635 0.0831365i
\(499\) 5.80075e6 1.32398e6i 0.0466856 0.0106557i −0.199114 0.979976i \(-0.563807\pi\)
0.245800 + 0.969321i \(0.420949\pi\)
\(500\) 3.69094e7 8.42432e6i 0.295275 0.0673946i
\(501\) 4.30122e7 + 3.43011e7i 0.342041 + 0.272769i
\(502\) 3.89511e7 + 8.08828e7i 0.307899 + 0.639359i
\(503\) −1.45192e8 3.31392e7i −1.14088 0.260398i −0.389985 0.920821i \(-0.627520\pi\)
−0.750894 + 0.660423i \(0.770377\pi\)
\(504\) −1.32873e6 + 639884.i −0.0103788 + 0.00499815i
\(505\) 2.77391e7 2.21212e7i 0.215387 0.171765i
\(506\) −2.09302e7 + 4.77718e6i −0.161555 + 0.0368740i
\(507\) 1.78323e8 1.42208e8i 1.36831 1.09119i
\(508\) −1.39164e7 + 6.09715e7i −0.106153 + 0.465089i
\(509\) 5.74155e7 0.435388 0.217694 0.976017i \(-0.430147\pi\)
0.217694 + 0.976017i \(0.430147\pi\)
\(510\) 8.47096e6i 0.0638590i
\(511\) 946832. 4.14834e6i 0.00709594 0.0310894i
\(512\) −8.83292e7 7.04402e7i −0.658103 0.524820i
\(513\) −2.32549e8 1.11990e8i −1.72251 0.829517i
\(514\) −1.04978e8 + 5.05546e7i −0.773050 + 0.372281i
\(515\) 6.03348e7i 0.441719i
\(516\) 3.28068e7 2.29301e7i 0.238789 0.166900i
\(517\) −1.31947e7 −0.0954834
\(518\) −874804. 1.81655e6i −0.00629392 0.0130695i
\(519\) −3.03698e7 + 6.30635e7i −0.217240 + 0.451103i
\(520\) −7.51668e7 + 9.42562e7i −0.534584 + 0.670347i
\(521\) −1.30686e8 2.98282e7i −0.924093 0.210918i −0.266103 0.963945i \(-0.585736\pi\)
−0.657990 + 0.753026i \(0.728593\pi\)
\(522\) −6.41568e7 −0.451057
\(523\) 2.28987e8i 1.60068i −0.599545 0.800341i \(-0.704652\pi\)
0.599545 0.800341i \(-0.295348\pi\)
\(524\) 5.60228e7 + 1.27868e7i 0.389378 + 0.0888729i
\(525\) −1.36878e6 1.71640e6i −0.00945926 0.0118615i
\(526\) −3.45205e7 1.51244e8i −0.237203 1.03925i
\(527\) −2.82424e7 3.54149e7i −0.192961 0.241966i
\(528\) 2.74374e6 + 5.69743e6i 0.0186398 + 0.0387059i
\(529\) −6.58860e7 + 2.88665e8i −0.445068 + 1.94997i
\(530\) −1.95270e7 + 9.40369e6i −0.131162 + 0.0631641i
\(531\) 3.80476e7 4.77102e7i 0.254123 0.318660i
\(532\) −565456. 2.47742e6i −0.00375546 0.0164538i
\(533\) −2.34722e7 1.02838e8i −0.155014 0.679163i
\(534\) 1.15658e6 2.40165e6i 0.00759539 0.0157720i
\(535\) 9.57918e7 + 7.63914e7i 0.625557 + 0.498865i
\(536\) 2.29557e8 1.83065e8i 1.49072 1.18881i
\(537\) −564949. 272065.i −0.00364827 0.00175691i
\(538\) −5.20879e6 + 1.08162e7i −0.0334495 + 0.0694586i
\(539\) −1.19087e7 1.49330e7i −0.0760497 0.0953634i
\(540\) 1.77192e7 2.22191e7i 0.112528 0.141106i
\(541\) −7.06053e7 3.40017e7i −0.445908 0.214738i 0.197435 0.980316i \(-0.436739\pi\)
−0.643343 + 0.765578i \(0.722453\pi\)
\(542\) −6.40645e7 + 1.46223e7i −0.402364 + 0.0918370i
\(543\) 6.67144e7 1.52271e7i 0.416697 0.0951083i
\(544\) −2.25663e7 1.79961e7i −0.140173 0.111784i
\(545\) −2.89440e7 6.01028e7i −0.178800 0.371283i
\(546\) 4.23202e6 + 965931.i 0.0259998 + 0.00593428i
\(547\) −8.41249e7 + 4.05124e7i −0.513999 + 0.247529i −0.672857 0.739772i \(-0.734933\pi\)
0.158858 + 0.987301i \(0.449219\pi\)
\(548\) −2.40602e7 + 1.91874e7i −0.146203 + 0.116593i
\(549\) −1.57186e7 + 3.58766e6i −0.0949938 + 0.0216817i
\(550\) 1.01058e7 8.05908e6i 0.0607409 0.0484393i
\(551\) 8.84018e7 3.87314e8i 0.528453 2.31530i
\(552\) 2.39096e8 1.42153
\(553\) 2.58221e6i 0.0152692i
\(554\) −1.59515e7 + 6.98881e7i −0.0938150 + 0.411030i
\(555\) 3.27721e7 + 2.61349e7i 0.191702 + 0.152877i
\(556\) 8.10548e7 + 3.90339e7i 0.471579 + 0.227101i
\(557\) −4.68582e7 + 2.25657e7i −0.271157 + 0.130582i −0.564521 0.825418i \(-0.690939\pi\)
0.293365 + 0.956001i \(0.405225\pi\)
\(558\) 7.27100e7i 0.418496i
\(559\) 3.17453e8 + 2.00836e7i 1.81737 + 0.114976i
\(560\) −876811. −0.00499278
\(561\) 1.75696e6 + 3.64837e6i 0.00995117 + 0.0206638i
\(562\) −9.50663e7 + 1.97407e8i −0.535572 + 1.11213i
\(563\) −4.29697e7 + 5.38823e7i −0.240789 + 0.301940i −0.887512 0.460785i \(-0.847568\pi\)
0.646722 + 0.762726i \(0.276139\pi\)
\(564\) 3.98654e7 + 9.09902e6i 0.222208 + 0.0507175i
\(565\) −9.84145e7 −0.545650
\(566\) 2.31234e7i 0.127527i
\(567\) −1.70027e6 388076.i −0.00932760 0.00212896i
\(568\) 4.52916e7 + 5.67939e7i 0.247157 + 0.309925i
\(569\) −4.02637e7 1.76407e8i −0.218563 0.957587i −0.958541 0.284956i \(-0.908021\pi\)
0.739978 0.672631i \(-0.234836\pi\)
\(570\) −5.24966e7 6.58287e7i −0.283470 0.355460i
\(571\) −2.70007e7 5.60674e7i −0.145033 0.301164i 0.815780 0.578363i \(-0.196308\pi\)
−0.960813 + 0.277199i \(0.910594\pi\)
\(572\) 3.56842e6 1.56343e7i 0.0190673 0.0835391i
\(573\) 6.48796e7 3.12444e7i 0.344861 0.166076i
\(574\) 874219. 1.09624e6i 0.00462258 0.00579653i
\(575\) −5.95020e7 2.60695e8i −0.312988 1.37129i
\(576\) 1.88073e7 + 8.24001e7i 0.0984144 + 0.431182i
\(577\) 3.62652e7 7.53055e7i 0.188783 0.392012i −0.784998 0.619498i \(-0.787336\pi\)
0.973781 + 0.227486i \(0.0730506\pi\)
\(578\) −1.11024e8 8.85389e7i −0.574956 0.458512i
\(579\) −1.52167e8 + 1.21349e8i −0.783945 + 0.625176i
\(580\) 3.94103e7 + 1.89790e7i 0.201988 + 0.0972723i
\(581\) −680570. + 1.41322e6i −0.00347012 + 0.00720578i
\(582\) −1.29715e7 1.62657e7i −0.0657991 0.0825095i
\(583\) 6.45967e6 8.10018e6i 0.0325991 0.0408779i
\(584\) −2.51382e8 1.21059e8i −1.26211 0.607798i
\(585\) 6.61016e7 1.50873e7i 0.330175 0.0753603i
\(586\) 2.36669e8 5.40180e7i 1.17611 0.268439i
\(587\) 2.59928e8 + 2.07286e8i 1.28511 + 1.02484i 0.997752 + 0.0670136i \(0.0213471\pi\)
0.287354 + 0.957824i \(0.407224\pi\)
\(588\) 2.56822e7 + 5.33296e7i 0.126328 + 0.262323i
\(589\) −4.38949e8 1.00187e8i −2.14817 0.490305i
\(590\) 5.97427e7 2.87706e7i 0.290890 0.140085i
\(591\) −1.68187e8 + 1.34124e8i −0.814759 + 0.649748i
\(592\) −7.05235e7 + 1.60965e7i −0.339914 + 0.0775831i
\(593\) 2.30652e8 1.83939e8i 1.10610 0.882083i 0.112342 0.993670i \(-0.464165\pi\)
0.993755 + 0.111587i \(0.0355933\pi\)
\(594\) 4.81793e6 2.11088e7i 0.0229880 0.100717i
\(595\) −561469. −0.00266548
\(596\) 1.47360e8i 0.696051i
\(597\) −2.72834e7 + 1.19537e8i −0.128226 + 0.561795i
\(598\) 4.13374e8 + 3.29655e8i 1.93303 + 1.54154i
\(599\) 2.48891e8 + 1.19860e8i 1.15806 + 0.557690i 0.911444 0.411424i \(-0.134969\pi\)
0.246612 + 0.969114i \(0.420683\pi\)
\(600\) −1.29699e8 + 6.24599e7i −0.600460 + 0.289166i
\(601\) 1.60741e8i 0.740465i −0.928939 0.370232i \(-0.879278\pi\)
0.928939 0.370232i \(-0.120722\pi\)
\(602\) 2.42226e6 + 3.46559e6i 0.0111027 + 0.0158850i
\(603\) −1.65127e8 −0.753126
\(604\) −999966. 2.07645e6i −0.00453811 0.00942347i
\(605\) −4.10328e7 + 8.52055e7i −0.185296 + 0.384770i
\(606\) −5.22288e7 + 6.54928e7i −0.234688 + 0.294290i
\(607\) −2.79741e8 6.38490e7i −1.25080 0.285488i −0.454699 0.890645i \(-0.650253\pi\)
−0.796106 + 0.605157i \(0.793110\pi\)
\(608\) −2.86891e8 −1.27646
\(609\) 5.66012e6i 0.0250596i
\(610\) −1.70801e7 3.89841e6i −0.0752489 0.0171751i
\(611\) 2.02609e8 + 2.54064e8i 0.888249 + 1.11383i
\(612\) 2.09795e6 + 9.19170e6i 0.00915251 + 0.0400998i
\(613\) 1.11069e8 + 1.39276e8i 0.482183 + 0.604639i 0.962107 0.272671i \(-0.0879071\pi\)
−0.479924 + 0.877310i \(0.659336\pi\)
\(614\) −3.79978e7 7.89033e7i −0.164155 0.340871i
\(615\) −6.48659e6 + 2.84196e7i −0.0278863 + 0.122178i
\(616\) 690194. 332380.i 0.00295276 0.00142198i
\(617\) −1.97596e8 + 2.47778e8i −0.841247 + 1.05489i 0.156492 + 0.987679i \(0.449981\pi\)
−0.997739 + 0.0672110i \(0.978590\pi\)
\(618\) 3.16986e7 + 1.38881e8i 0.134299 + 0.588404i
\(619\) 8.15923e7 + 3.57479e8i 0.344015 + 1.50723i 0.790514 + 0.612444i \(0.209813\pi\)
−0.446499 + 0.894784i \(0.647330\pi\)
\(620\) 2.15092e7 4.46643e7i 0.0902504 0.187407i
\(621\) −3.50193e8 2.79270e8i −1.46229 1.16614i
\(622\) −5.70149e7 + 4.54678e7i −0.236928 + 0.188944i
\(623\) −159186. 76659.7i −0.000658324 0.000317032i
\(624\) 6.75729e7 1.40316e8i 0.278111 0.577504i
\(625\) 7.17716e7 + 8.99987e7i 0.293976 + 0.368635i
\(626\) 7.41111e7 9.29324e7i 0.302107 0.378830i
\(627\) 3.62634e7 + 1.74635e7i 0.147118 + 0.0708482i
\(628\) 6.38809e6 1.45804e6i 0.0257924 0.00588695i
\(629\) −4.51599e7 + 1.03075e7i −0.181469 + 0.0414190i
\(630\) 704629. + 561923.i 0.00281799 + 0.00224727i
\(631\) 2.42720e7 + 5.04014e7i 0.0966091 + 0.200611i 0.943672 0.330881i \(-0.107346\pi\)
−0.847063 + 0.531492i \(0.821632\pi\)
\(632\) 1.65077e8 + 3.76777e7i 0.653935 + 0.149256i
\(633\) 1.76351e8 8.49260e7i 0.695290 0.334834i
\(634\) 2.04945e8 1.63438e8i 0.804210 0.641336i
\(635\) 1.33904e8 3.05628e7i 0.522966 0.119364i
\(636\) −2.51026e7 + 2.00187e7i −0.0975770 + 0.0778150i
\(637\) −1.04673e8 + 4.58603e8i −0.404964 + 1.77426i
\(638\) 3.33255e7 0.128326
\(639\) 4.08537e7i 0.156577i
\(640\) −2.20472e6 + 9.65950e6i −0.00841033 + 0.0368481i
\(641\) 3.39859e8 + 2.71029e8i 1.29040 + 1.02906i 0.997334 + 0.0729704i \(0.0232479\pi\)
0.293069 + 0.956091i \(0.405324\pi\)
\(642\) −2.60631e8 1.25513e8i −0.984965 0.474334i
\(643\) −2.22745e8 + 1.07268e8i −0.837868 + 0.403496i −0.803060 0.595898i \(-0.796796\pi\)
−0.0348076 + 0.999394i \(0.511082\pi\)
\(644\) 4.40979e6i 0.0165105i
\(645\) −7.66327e7 4.30646e7i −0.285585 0.160487i
\(646\) 9.30446e7 0.345139
\(647\) −5.55278e7 1.15305e8i −0.205021 0.425730i 0.772952 0.634465i \(-0.218780\pi\)
−0.977972 + 0.208735i \(0.933065\pi\)
\(648\) −4.96183e7 + 1.03034e8i −0.182355 + 0.378664i
\(649\) −1.97634e7 + 2.47825e7i −0.0722981 + 0.0906590i
\(650\) −3.10355e8 7.08364e7i −1.13010 0.257939i
\(651\) −6.41471e6 −0.0232506
\(652\) 3.51344e7i 0.126762i
\(653\) 2.11545e8 + 4.82838e7i 0.759737 + 0.173405i 0.584803 0.811175i \(-0.301172\pi\)
0.174934 + 0.984580i \(0.444029\pi\)
\(654\) 9.82008e7 + 1.23140e8i 0.351060 + 0.440216i
\(655\) −2.80822e7 1.23036e8i −0.0999325 0.437833i
\(656\) −3.13649e7 3.93304e7i −0.111105 0.139321i
\(657\) 6.80833e7 + 1.41376e8i 0.240074 + 0.498518i
\(658\) −961187. + 4.21124e6i −0.00337388 + 0.0147820i
\(659\) 4.22319e8 2.03378e8i 1.47565 0.710638i 0.488822 0.872384i \(-0.337427\pi\)
0.986832 + 0.161746i \(0.0517125\pi\)
\(660\) −2.76310e6 + 3.46482e6i −0.00961093 + 0.0120517i
\(661\) 4.63718e7 + 2.03168e8i 0.160565 + 0.703479i 0.989548 + 0.144206i \(0.0460627\pi\)
−0.828983 + 0.559273i \(0.811080\pi\)
\(662\) 1.21851e7 + 5.33863e7i 0.0420005 + 0.184016i
\(663\) 4.32705e7 8.98521e7i 0.148474 0.308310i
\(664\) 8.04147e7 + 6.41285e7i 0.274682 + 0.219052i
\(665\) −4.36323e6 + 3.47956e6i −0.0148369 + 0.0118320i
\(666\) 6.69903e7 + 3.22608e7i 0.226772 + 0.109208i
\(667\) 2.99126e8 6.21142e8i 1.00804 2.09321i
\(668\) −4.14835e7 5.20187e7i −0.139170 0.174514i
\(669\) −2.33868e8 + 2.93261e8i −0.781075 + 0.979437i
\(670\) −1.61661e8 7.78520e7i −0.537504 0.258848i
\(671\) 8.16481e6 1.86356e6i 0.0270258 0.00616846i
\(672\) −3.98497e6 + 909544.i −0.0131316 + 0.00299720i
\(673\) 7.37564e7 + 5.88188e7i 0.241966 + 0.192962i 0.736963 0.675933i \(-0.236259\pi\)
−0.494997 + 0.868895i \(0.664831\pi\)
\(674\) −1.41976e8 2.94816e8i −0.463698 0.962878i
\(675\) 2.62919e8 + 6.00097e7i 0.854892 + 0.195124i
\(676\) −2.48526e8 + 1.19684e8i −0.804512 + 0.387432i
\(677\) −6.51232e7 + 5.19340e7i −0.209879 + 0.167373i −0.722788 0.691070i \(-0.757140\pi\)
0.512908 + 0.858443i \(0.328568\pi\)
\(678\) 2.26533e8 5.17048e7i 0.726847 0.165898i
\(679\) −1.07812e6 + 859770.i −0.00344395 + 0.00274646i
\(680\) −8.19255e6 + 3.58939e7i −0.0260551 + 0.114155i
\(681\) 2.12179e8 0.671833
\(682\) 3.77683e7i 0.119062i
\(683\) 8.95972e7 3.92551e8i 0.281211 1.23207i −0.615032 0.788502i \(-0.710857\pi\)
0.896243 0.443564i \(-0.146286\pi\)
\(684\) 7.32666e7 + 5.84281e7i 0.228948 + 0.182580i
\(685\) 6.08925e7 + 2.93243e7i 0.189449 + 0.0912337i
\(686\) −1.12705e7 + 5.42760e6i −0.0349118 + 0.0168126i
\(687\) 2.78207e7i 0.0858020i
\(688\) 1.40558e8 5.70583e7i 0.431608 0.175208i
\(689\) −2.55159e8 −0.780105
\(690\) −6.33966e7 1.31644e8i −0.192983 0.400733i
\(691\) 1.13033e8 2.34716e8i 0.342588 0.711391i −0.656490 0.754335i \(-0.727959\pi\)
0.999077 + 0.0429440i \(0.0136737\pi\)
\(692\) 5.27795e7 6.61834e7i 0.159275 0.199724i
\(693\) −420026. 95868.2i −0.00126205 0.000288055i
\(694\) 2.13679e8 0.639268
\(695\) 1.97577e8i 0.588548i
\(696\) −3.61843e8 8.25884e7i −1.07323 0.244958i
\(697\) −2.00846e7 2.51853e7i −0.0593151 0.0743788i
\(698\) −8.55865e7 3.74979e8i −0.251674 1.10266i
\(699\) −2.35377e8 2.95154e8i −0.689181 0.864205i
\(700\) 1.15199e6 + 2.39212e6i 0.00335856 + 0.00697412i
\(701\) −9.30100e7 + 4.07504e8i −0.270007 + 1.18298i 0.639996 + 0.768379i \(0.278936\pi\)
−0.910003 + 0.414601i \(0.863921\pi\)
\(702\) −4.80429e8 + 2.31362e8i −1.38873 + 0.668777i
\(703\) −2.87064e8 + 3.59967e8i −0.826254 + 1.03609i
\(704\) −9.76922e6 4.28017e7i −0.0279990 0.122671i
\(705\) −1.99831e7 8.75516e7i −0.0570289 0.249860i
\(706\) −3.77064e7 + 7.82982e7i −0.107152 + 0.222504i
\(707\) 4.34097e6 + 3.46181e6i 0.0122837 + 0.00979591i
\(708\) 7.68014e7 6.12471e7i 0.216406 0.172578i
\(709\) 5.13942e8 + 2.47501e8i 1.44203 + 0.694447i 0.981192 0.193036i \(-0.0618334\pi\)
0.460841 + 0.887482i \(0.347548\pi\)
\(710\) 1.92611e7 3.99961e7i 0.0538154 0.111749i
\(711\) −5.93725e7 7.44508e7i −0.165187 0.207138i
\(712\) −7.22346e6 + 9.05794e6i −0.0200127 + 0.0250951i
\(713\) −7.03950e8 3.39004e8i −1.94211 0.935269i
\(714\) 1.29241e6 294983.i 0.00355062 0.000810406i
\(715\) −3.43357e7 + 7.83689e6i −0.0939350 + 0.0214401i
\(716\) 592899. + 472821.i 0.00161526 + 0.00128812i
\(717\) 4.28688e7 + 8.90180e7i 0.116301 + 0.241502i
\(718\) 1.10223e8 + 2.51576e7i 0.297782 + 0.0679667i
\(719\) −1.75860e8 + 8.46896e7i −0.473129 + 0.227847i −0.655225 0.755434i \(-0.727426\pi\)
0.182096 + 0.983281i \(0.441712\pi\)
\(720\) 2.52804e7 2.01605e7i 0.0677309 0.0540136i
\(721\) 9.20523e6 2.10103e6i 0.0245600 0.00560567i
\(722\) 4.92399e8 3.92675e8i 1.30830 1.04333i
\(723\) −4.02811e7 + 1.76483e8i −0.106583 + 0.466969i
\(724\) −8.27589e7 −0.218072
\(725\) 4.15084e8i 1.08924i
\(726\) 4.96855e7 2.17686e8i 0.129843 0.568880i
\(727\) −1.44108e8 1.14923e8i −0.375047 0.299090i 0.417766 0.908554i \(-0.362813\pi\)
−0.792813 + 0.609464i \(0.791384\pi\)
\(728\) −1.69981e7 8.18585e6i −0.0440561 0.0212163i
\(729\) 3.42761e8 1.65065e8i 0.884727 0.426062i
\(730\) 1.70508e8i 0.438304i
\(731\) 9.00067e7 3.65375e7i 0.230421 0.0935377i
\(732\) −2.59536e7 −0.0661705
\(733\) −1.99487e8 4.14238e8i −0.506526 1.05181i −0.984815 0.173610i \(-0.944457\pi\)
0.478288 0.878203i \(-0.341257\pi\)
\(734\) −8.64866e7 + 1.79591e8i −0.218706 + 0.454148i
\(735\) 8.10505e7 1.01634e8i 0.204124 0.255963i
\(736\) −4.85378e8 1.10784e8i −1.21744 0.277872i
\(737\) 8.57734e7 0.214265
\(738\) 5.17078e7i 0.128643i
\(739\) −2.93746e8 6.70455e7i −0.727844 0.166126i −0.157485 0.987521i \(-0.550339\pi\)
−0.570359 + 0.821396i \(0.693196\pi\)
\(740\) −3.16074e7 3.96344e7i −0.0779998 0.0978087i
\(741\) −2.20576e8 9.66408e8i −0.542131 2.37523i
\(742\) −2.11470e6 2.65175e6i −0.00517650 0.00649113i
\(743\) 1.31094e8 + 2.72220e8i 0.319608 + 0.663673i 0.997437 0.0715464i \(-0.0227934\pi\)
−0.677829 + 0.735219i \(0.737079\pi\)
\(744\) −9.35988e7 + 4.10083e8i −0.227275 + 0.995756i
\(745\) −2.91579e8 + 1.40417e8i −0.705161 + 0.339588i
\(746\) −3.29676e8 + 4.13400e8i −0.794092 + 0.995759i
\(747\) −1.28717e7 5.63946e7i −0.0308798 0.135293i
\(748\) −1.08975e6 4.77452e6i −0.00260389 0.0114084i
\(749\) −8.31922e6 + 1.72750e7i −0.0197987 + 0.0411125i
\(750\) 1.53478e8 + 1.22394e8i 0.363799 + 0.290120i
\(751\) −2.18835e8 + 1.74515e8i −0.516651 + 0.412015i −0.846798 0.531914i \(-0.821473\pi\)
0.330148 + 0.943929i \(0.392901\pi\)
\(752\) 1.39627e8 + 6.72410e7i 0.328335 + 0.158118i
\(753\) 1.26727e8 2.63150e8i 0.296813 0.616338i
\(754\) −5.11723e8 6.41681e8i −1.19377 1.49694i
\(755\) −3.15580e6 + 3.95724e6i −0.00733277 + 0.00919500i
\(756\) 4.00698e6 + 1.92966e6i 0.00927367 + 0.00446597i