Properties

Label 80.6.q.a.29.10
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.q (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.10
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.87261 + 2.87361i) q^{2} +(14.7569 - 14.7569i) q^{3} +(15.4847 - 28.0040i) q^{4} +(24.3169 - 50.3357i) q^{5} +(-29.4990 + 114.310i) q^{6} +197.707 q^{7} +(5.02143 + 180.950i) q^{8} -192.530i q^{9} +O(q^{10})\) \(q+(-4.87261 + 2.87361i) q^{2} +(14.7569 - 14.7569i) q^{3} +(15.4847 - 28.0040i) q^{4} +(24.3169 - 50.3357i) q^{5} +(-29.4990 + 114.310i) q^{6} +197.707 q^{7} +(5.02143 + 180.950i) q^{8} -192.530i q^{9} +(26.1584 + 315.144i) q^{10} +(357.324 - 357.324i) q^{11} +(-184.745 - 641.757i) q^{12} +(-457.199 + 457.199i) q^{13} +(-963.349 + 568.133i) q^{14} +(-383.956 - 1101.64i) q^{15} +(-544.446 - 867.268i) q^{16} +1060.90i q^{17} +(553.255 + 938.123i) q^{18} +(-715.145 - 715.145i) q^{19} +(-1033.06 - 1460.41i) q^{20} +(2917.53 - 2917.53i) q^{21} +(-714.292 + 2767.91i) q^{22} +2063.08 q^{23} +(2744.35 + 2596.15i) q^{24} +(-1942.38 - 2448.02i) q^{25} +(913.942 - 3541.57i) q^{26} +(744.782 + 744.782i) q^{27} +(3061.44 - 5536.58i) q^{28} +(-1197.15 - 1197.15i) q^{29} +(5036.55 + 4264.52i) q^{30} +3101.41 q^{31} +(5145.07 + 2661.34i) q^{32} -10546.0i q^{33} +(-3048.60 - 5169.34i) q^{34} +(4807.62 - 9951.73i) q^{35} +(-5391.60 - 2981.27i) q^{36} +(-4057.58 - 4057.58i) q^{37} +(5539.68 + 1429.58i) q^{38} +13493.6i q^{39} +(9230.34 + 4147.38i) q^{40} +12416.7i q^{41} +(-5832.16 + 22599.9i) q^{42} +(-13760.9 - 13760.9i) q^{43} +(-4473.43 - 15539.6i) q^{44} +(-9691.13 - 4681.73i) q^{45} +(-10052.6 + 5928.49i) q^{46} +13672.1i q^{47} +(-20832.5 - 4763.84i) q^{48} +22281.0 q^{49} +(16499.1 + 6346.63i) q^{50} +(15655.5 + 15655.5i) q^{51} +(5723.79 + 19883.0i) q^{52} +(-10284.6 - 10284.6i) q^{53} +(-5769.25 - 1488.82i) q^{54} +(-9297.15 - 26675.2i) q^{55} +(992.771 + 35775.0i) q^{56} -21106.6 q^{57} +(9273.37 + 2393.10i) q^{58} +(-35652.3 + 35652.3i) q^{59} +(-36795.7 - 6306.28i) q^{60} +(-25287.6 - 25287.6i) q^{61} +(-15112.0 + 8912.25i) q^{62} -38064.5i q^{63} +(-32717.6 + 1817.25i) q^{64} +(11895.8 + 34131.1i) q^{65} +(30305.0 + 51386.4i) q^{66} +(484.046 - 484.046i) q^{67} +(29709.3 + 16427.7i) q^{68} +(30444.6 - 30444.6i) q^{69} +(5171.69 + 62306.2i) q^{70} -20214.5i q^{71} +(34838.2 - 966.774i) q^{72} +55595.8 q^{73} +(31430.9 + 8111.11i) q^{74} +(-64788.4 - 7461.74i) q^{75} +(-31100.8 + 8953.09i) q^{76} +(70645.4 - 70645.4i) q^{77} +(-38775.5 - 65749.3i) q^{78} +65784.5 q^{79} +(-56893.9 + 6315.82i) q^{80} +68766.0 q^{81} +(-35680.9 - 60502.0i) q^{82} +(-29779.9 + 29779.9i) q^{83} +(-36525.3 - 126880. i) q^{84} +(53401.0 + 25797.7i) q^{85} +(106595. + 27508.1i) q^{86} -35332.3 q^{87} +(66451.9 + 62863.4i) q^{88} +56750.6i q^{89} +(60674.6 - 5036.27i) q^{90} +(-90391.4 + 90391.4i) q^{91} +(31946.2 - 57774.5i) q^{92} +(45767.1 - 45767.1i) q^{93} +(-39288.3 - 66618.9i) q^{94} +(-53387.5 + 18607.2i) q^{95} +(115198. - 36652.1i) q^{96} +83685.2i q^{97} +(-108567. + 64027.0i) q^{98} +(-68795.5 - 68795.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.87261 + 2.87361i −0.861365 + 0.507987i
\(3\) 14.7569 14.7569i 0.946653 0.946653i −0.0519945 0.998647i \(-0.516558\pi\)
0.998647 + 0.0519945i \(0.0165578\pi\)
\(4\) 15.4847 28.0040i 0.483898 0.875125i
\(5\) 24.3169 50.3357i 0.434994 0.900433i
\(6\) −29.4990 + 114.310i −0.334526 + 1.29630i
\(7\) 197.707 1.52502 0.762512 0.646974i \(-0.223966\pi\)
0.762512 + 0.646974i \(0.223966\pi\)
\(8\) 5.02143 + 180.950i 0.0277397 + 0.999615i
\(9\) 192.530i 0.792304i
\(10\) 26.1584 + 315.144i 0.0827200 + 0.996573i
\(11\) 357.324 357.324i 0.890390 0.890390i −0.104169 0.994560i \(-0.533218\pi\)
0.994560 + 0.104169i \(0.0332183\pi\)
\(12\) −184.745 641.757i −0.370356 1.28652i
\(13\) −457.199 + 457.199i −0.750321 + 0.750321i −0.974539 0.224218i \(-0.928017\pi\)
0.224218 + 0.974539i \(0.428017\pi\)
\(14\) −963.349 + 568.133i −1.31360 + 0.774693i
\(15\) −383.956 1101.64i −0.440609 1.26419i
\(16\) −544.446 867.268i −0.531686 0.846942i
\(17\) 1060.90i 0.890329i 0.895449 + 0.445164i \(0.146855\pi\)
−0.895449 + 0.445164i \(0.853145\pi\)
\(18\) 553.255 + 938.123i 0.402480 + 0.682462i
\(19\) −715.145 715.145i −0.454475 0.454475i 0.442361 0.896837i \(-0.354141\pi\)
−0.896837 + 0.442361i \(0.854141\pi\)
\(20\) −1033.06 1460.41i −0.577498 0.816392i
\(21\) 2917.53 2917.53i 1.44367 1.44367i
\(22\) −714.292 + 2767.91i −0.314644 + 1.21926i
\(23\) 2063.08 0.813199 0.406599 0.913607i \(-0.366715\pi\)
0.406599 + 0.913607i \(0.366715\pi\)
\(24\) 2744.35 + 2596.15i 0.972549 + 0.920029i
\(25\) −1942.38 2448.02i −0.621560 0.783367i
\(26\) 913.942 3541.57i 0.265146 1.02745i
\(27\) 744.782 + 744.782i 0.196616 + 0.196616i
\(28\) 3061.44 5536.58i 0.737956 1.33459i
\(29\) −1197.15 1197.15i −0.264334 0.264334i 0.562478 0.826812i \(-0.309848\pi\)
−0.826812 + 0.562478i \(0.809848\pi\)
\(30\) 5036.55 + 4264.52i 1.02172 + 0.865101i
\(31\) 3101.41 0.579636 0.289818 0.957082i \(-0.406405\pi\)
0.289818 + 0.957082i \(0.406405\pi\)
\(32\) 5145.07 + 2661.34i 0.888211 + 0.459436i
\(33\) 10546.0i 1.68578i
\(34\) −3048.60 5169.34i −0.452276 0.766898i
\(35\) 4807.62 9951.73i 0.663377 1.37318i
\(36\) −5391.60 2981.27i −0.693364 0.383394i
\(37\) −4057.58 4057.58i −0.487262 0.487262i 0.420179 0.907441i \(-0.361967\pi\)
−0.907441 + 0.420179i \(0.861967\pi\)
\(38\) 5539.68 + 1429.58i 0.622337 + 0.160601i
\(39\) 13493.6i 1.42059i
\(40\) 9230.34 + 4147.38i 0.912153 + 0.409849i
\(41\) 12416.7i 1.15358i 0.816892 + 0.576790i \(0.195695\pi\)
−0.816892 + 0.576790i \(0.804305\pi\)
\(42\) −5832.16 + 22599.9i −0.510160 + 1.97689i
\(43\) −13760.9 13760.9i −1.13495 1.13495i −0.989343 0.145605i \(-0.953487\pi\)
−0.145605 0.989343i \(1.45349\pi\)
\(44\) −4473.43 15539.6i −0.348345 1.21006i
\(45\) −9691.13 4681.73i −0.713416 0.344647i
\(46\) −10052.6 + 5928.49i −0.700460 + 0.413095i
\(47\) 13672.1i 0.902799i 0.892322 + 0.451399i \(0.149075\pi\)
−0.892322 + 0.451399i \(0.850925\pi\)
\(48\) −20832.5 4763.84i −1.30508 0.298438i
\(49\) 22281.0 1.32570
\(50\) 16499.1 + 6346.63i 0.933330 + 0.359020i
\(51\) 15655.5 + 15655.5i 0.842832 + 0.842832i
\(52\) 5723.79 + 19883.0i 0.293545 + 1.01970i
\(53\) −10284.6 10284.6i −0.502917 0.502917i 0.409426 0.912343i \(-0.365729\pi\)
−0.912343 + 0.409426i \(0.865729\pi\)
\(54\) −5769.25 1488.82i −0.269237 0.0694798i
\(55\) −9297.15 26675.2i −0.414422 1.18905i
\(56\) 992.771 + 35775.0i 0.0423038 + 1.52444i
\(57\) −21106.6 −0.860461
\(58\) 9273.37 + 2393.10i 0.361966 + 0.0934096i
\(59\) −35652.3 + 35652.3i −1.33339 + 1.33339i −0.431074 + 0.902317i \(0.641865\pi\)
−0.902317 + 0.431074i \(0.858135\pi\)
\(60\) −36795.7 6306.28i −1.31953 0.226149i
\(61\) −25287.6 25287.6i −0.870127 0.870127i 0.122359 0.992486i \(-0.460954\pi\)
−0.992486 + 0.122359i \(0.960954\pi\)
\(62\) −15112.0 + 8912.25i −0.499278 + 0.294448i
\(63\) 38064.5i 1.20828i
\(64\) −32717.6 + 1817.25i −0.998461 + 0.0554581i
\(65\) 11895.8 + 34131.1i 0.349228 + 1.00200i
\(66\) 30305.0 + 51386.4i 0.856356 + 1.45207i
\(67\) 484.046 484.046i 0.0131734 0.0131734i −0.700489 0.713663i \(-0.747035\pi\)
0.713663 + 0.700489i \(0.247035\pi\)
\(68\) 29709.3 + 16427.7i 0.779149 + 0.430828i
\(69\) 30444.6 30444.6i 0.769817 0.769817i
\(70\) 5171.69 + 62306.2i 0.126150 + 1.51980i
\(71\) 20214.5i 0.475902i −0.971277 0.237951i \(-0.923524\pi\)
0.971277 0.237951i \(-0.0764758\pi\)
\(72\) 34838.2 966.774i 0.791999 0.0219783i
\(73\) 55595.8 1.22105 0.610527 0.791996i \(-0.290958\pi\)
0.610527 + 0.791996i \(0.290958\pi\)
\(74\) 31430.9 + 8111.11i 0.667233 + 0.172187i
\(75\) −64788.4 7461.74i −1.32998 0.153175i
\(76\) −31100.8 + 8953.09i −0.617642 + 0.177803i
\(77\) 70645.4 70645.4i 1.35787 1.35787i
\(78\) −38775.5 65749.3i −0.721640 1.22364i
\(79\) 65784.5 1.18592 0.592961 0.805231i \(-0.297959\pi\)
0.592961 + 0.805231i \(0.297959\pi\)
\(80\) −56893.9 + 6315.82i −0.993895 + 0.110333i
\(81\) 68766.0 1.16456
\(82\) −35680.9 60502.0i −0.586004 0.993653i
\(83\) −29779.9 + 29779.9i −0.474492 + 0.474492i −0.903365 0.428873i \(-0.858911\pi\)
0.428873 + 0.903365i \(0.358911\pi\)
\(84\) −36525.3 126880.i −0.564802 1.96198i
\(85\) 53401.0 + 25797.7i 0.801682 + 0.387288i
\(86\) 106595. + 27508.1i 1.55414 + 0.401065i
\(87\) −35332.3 −0.500465
\(88\) 66451.9 + 62863.4i 0.914747 + 0.865349i
\(89\) 56750.6i 0.759443i 0.925101 + 0.379722i \(0.123980\pi\)
−0.925101 + 0.379722i \(0.876020\pi\)
\(90\) 60674.6 5036.27i 0.789588 0.0655394i
\(91\) −90391.4 + 90391.4i −1.14426 + 1.14426i
\(92\) 31946.2 57774.5i 0.393505 0.711650i
\(93\) 45767.1 45767.1i 0.548714 0.548714i
\(94\) −39288.3 66618.9i −0.458610 0.777639i
\(95\) −53387.5 + 18607.2i −0.606919 + 0.211531i
\(96\) 115198. 36652.1i 1.27575 0.405901i
\(97\) 83685.2i 0.903065i 0.892255 + 0.451533i \(0.149123\pi\)
−0.892255 + 0.451533i \(0.850877\pi\)
\(98\) −108567. + 64027.0i −1.14191 + 0.673438i
\(99\) −68795.5 68795.5i −0.705459 0.705459i
\(100\) −98631.5 + 16487.3i −0.986315 + 0.164873i
\(101\) 45380.9 45380.9i 0.442660 0.442660i −0.450245 0.892905i \(-0.648663\pi\)
0.892905 + 0.450245i \(0.148663\pi\)
\(102\) −121271. 31295.4i −1.15413 0.297838i
\(103\) −180542. −1.67681 −0.838406 0.545047i \(-0.816512\pi\)
−0.838406 + 0.545047i \(0.816512\pi\)
\(104\) −85025.8 80434.2i −0.770846 0.729218i
\(105\) −75910.8 217802.i −0.671940 1.92791i
\(106\) 79666.5 + 20558.9i 0.688670 + 0.177719i
\(107\) 122632. + 122632.i 1.03549 + 1.03549i 0.999347 + 0.0361406i \(0.0115064\pi\)
0.0361406 + 0.999347i \(0.488494\pi\)
\(108\) 32389.6 9324.12i 0.267206 0.0769216i
\(109\) 73360.5 + 73360.5i 0.591420 + 0.591420i 0.938015 0.346595i \(-0.112662\pi\)
−0.346595 + 0.938015i \(0.612662\pi\)
\(110\) 121956. + 103262.i 0.960992 + 0.813686i
\(111\) −119754. −0.922535
\(112\) −107641. 171465.i −0.810834 1.29161i
\(113\) 169268.i 1.24704i 0.781809 + 0.623518i \(0.214297\pi\)
−0.781809 + 0.623518i \(0.785703\pi\)
\(114\) 102844. 60652.1i 0.741171 0.437103i
\(115\) 50167.8 103847.i 0.353737 0.732231i
\(116\) −52062.4 + 14987.4i −0.359236 + 0.103414i
\(117\) 88024.4 + 88024.4i 0.594482 + 0.594482i
\(118\) 71269.1 276171.i 0.471190 1.82588i
\(119\) 209746.i 1.35777i
\(120\) 197413. 75008.6i 1.25148 0.475508i
\(121\) 94309.9i 0.585590i
\(122\) 195883. + 50550.0i 1.19151 + 0.307483i
\(123\) 183232. + 183232.i 1.09204 + 1.09204i
\(124\) 48024.5 86851.9i 0.280485 0.507254i
\(125\) −170456. + 38242.6i −0.975744 + 0.218913i
\(126\) 109382. + 185473.i 0.613792 + 1.04077i
\(127\) 142222.i 0.782453i −0.920295 0.391226i \(-0.872051\pi\)
0.920295 0.391226i \(-0.127949\pi\)
\(128\) 154198. 102872.i 0.831867 0.554975i
\(129\) −406136. −2.14880
\(130\) −156043. 132124.i −0.809816 0.685683i
\(131\) 253435. + 253435.i 1.29030 + 1.29030i 0.934603 + 0.355692i \(0.115755\pi\)
0.355692 + 0.934603i \(0.384245\pi\)
\(132\) −295329. 163301.i −1.47527 0.815746i
\(133\) −141389. 141389.i −0.693086 0.693086i
\(134\) −967.609 + 3749.53i −0.00465520 + 0.0180391i
\(135\) 55600.0 19378.4i 0.262567 0.0915130i
\(136\) −191969. + 5327.21i −0.889986 + 0.0246975i
\(137\) 22911.3 0.104291 0.0521456 0.998639i \(-0.483394\pi\)
0.0521456 + 0.998639i \(0.483394\pi\)
\(138\) −60858.8 + 235831.i −0.272036 + 1.05415i
\(139\) 64775.0 64775.0i 0.284361 0.284361i −0.550484 0.834846i \(-0.685557\pi\)
0.834846 + 0.550484i \(0.185557\pi\)
\(140\) −204243. 288732.i −0.880699 1.24502i
\(141\) 201757. + 201757.i 0.854637 + 0.854637i
\(142\) 58088.7 + 98497.6i 0.241752 + 0.409925i
\(143\) 326736.i 1.33616i
\(144\) −166975. + 104822.i −0.671035 + 0.421257i
\(145\) −89370.3 + 31148.4i −0.352999 + 0.123031i
\(146\) −270897. + 159761.i −1.05177 + 0.620280i
\(147\) 328798. 328798.i 1.25498 1.25498i
\(148\) −176459. + 50797.8i −0.662200 + 0.190630i
\(149\) 361824. 361824.i 1.33515 1.33515i 0.434466 0.900688i \(-0.356937\pi\)
0.900688 0.434466i \(-0.143063\pi\)
\(150\) 337131. 149819.i 1.22341 0.543673i
\(151\) 99768.5i 0.356083i 0.984023 + 0.178041i \(0.0569761\pi\)
−0.984023 + 0.178041i \(0.943024\pi\)
\(152\) 125814. 132996.i 0.441693 0.466908i
\(153\) 204254. 0.705411
\(154\) −141220. + 547235.i −0.479839 + 1.85940i
\(155\) 75416.8 156112.i 0.252138 0.521923i
\(156\) 377876. + 208945.i 1.24319 + 0.687419i
\(157\) −106701. + 106701.i −0.345476 + 0.345476i −0.858421 0.512945i \(-0.828554\pi\)
0.512945 + 0.858421i \(0.328554\pi\)
\(158\) −320543. + 189039.i −1.02151 + 0.602433i
\(159\) −303536. −0.952175
\(160\) 259073. 194265.i 0.800058 0.599923i
\(161\) 407885. 1.24015
\(162\) −335070. + 197607.i −1.00311 + 0.591581i
\(163\) −230534. + 230534.i −0.679619 + 0.679619i −0.959914 0.280295i \(-0.909568\pi\)
0.280295 + 0.959914i \(0.409568\pi\)
\(164\) 347718. + 192270.i 1.00953 + 0.558215i
\(165\) −530839. 256445.i −1.51793 0.733305i
\(166\) 59530.2 230682.i 0.167675 0.649746i
\(167\) −84831.4 −0.235378 −0.117689 0.993051i \(-0.537549\pi\)
−0.117689 + 0.993051i \(0.537549\pi\)
\(168\) 542577. + 513276.i 1.48316 + 1.40307i
\(169\) 46768.8i 0.125962i
\(170\) −334335. + 27751.3i −0.887277 + 0.0736480i
\(171\) −137687. + 137687.i −0.360082 + 0.360082i
\(172\) −598444. + 172276.i −1.54242 + 0.444022i
\(173\) 466309. 466309.i 1.18456 1.18456i 0.206015 0.978549i \(-0.433950\pi\)
0.978549 0.206015i \(-0.0660497\pi\)
\(174\) 172161. 101531.i 0.431083 0.254230i
\(175\) −384021. 483991.i −0.947894 1.19465i
\(176\) −504440. 115352.i −1.22752 0.280701i
\(177\) 1.05223e6i 2.52452i
\(178\) −163079. 276524.i −0.385788 0.654158i
\(179\) −336614. 336614.i −0.785234 0.785234i 0.195475 0.980709i \(-0.437375\pi\)
−0.980709 + 0.195475i \(0.937375\pi\)
\(180\) −281172. + 198895.i −0.646830 + 0.457554i
\(181\) −512834. + 512834.i −1.16354 + 1.16354i −0.179843 + 0.983695i \(0.557559\pi\)
−0.983695 + 0.179843i \(0.942441\pi\)
\(182\) 180693. 700192.i 0.404354 1.56689i
\(183\) −746331. −1.64742
\(184\) 10359.6 + 373314.i 0.0225579 + 0.812886i
\(185\) −302909. + 105573.i −0.650703 + 0.226791i
\(186\) −91488.6 + 354522.i −0.193903 + 0.751383i
\(187\) 379084. + 379084.i 0.792740 + 0.792740i
\(188\) 382874. + 211709.i 0.790061 + 0.436862i
\(189\) 147249. + 147249.i 0.299845 + 0.299845i
\(190\) 206667. 244081.i 0.415324 0.490512i
\(191\) 597583. 1.18526 0.592632 0.805474i \(-0.298089\pi\)
0.592632 + 0.805474i \(0.298089\pi\)
\(192\) −455992. + 509625.i −0.892696 + 0.997696i
\(193\) 846666.i 1.63613i −0.575122 0.818067i \(-0.695046\pi\)
0.575122 0.818067i \(-0.304954\pi\)
\(194\) −240479. 407766.i −0.458746 0.777869i
\(195\) 679213. + 328124.i 1.27914 + 0.617947i
\(196\) 345016. 623958.i 0.641503 1.16015i
\(197\) 7266.00 + 7266.00i 0.0133392 + 0.0133392i 0.713745 0.700406i \(-0.246998\pi\)
−0.700406 + 0.713745i \(0.746998\pi\)
\(198\) 532905. + 137522.i 0.966022 + 0.249293i
\(199\) 677073.i 1.21200i −0.795464 0.606001i \(-0.792773\pi\)
0.795464 0.606001i \(-0.207227\pi\)
\(200\) 433215. 363765.i 0.765823 0.643051i
\(201\) 14286.0i 0.0249414i
\(202\) −90716.7 + 351531.i −0.156426 + 0.606157i
\(203\) −236684. 236684.i −0.403116 0.403116i
\(204\) 680837. 195995.i 1.14543 0.329739i
\(205\) 625006. + 301937.i 1.03872 + 0.501801i
\(206\) 879710. 518806.i 1.44435 0.851799i
\(207\) 397204.i 0.644300i
\(208\) 645434. + 147594.i 1.03441 + 0.236543i
\(209\) −511077. −0.809321
\(210\) 995761. + 843125.i 1.55814 + 1.31930i
\(211\) 130465. + 130465.i 0.201738 + 0.201738i 0.800744 0.599006i \(-0.204438\pi\)
−0.599006 + 0.800744i \(0.704438\pi\)
\(212\) −447262. + 128755.i −0.683475 + 0.196754i
\(213\) −298303. 298303.i −0.450514 0.450514i
\(214\) −949936. 245142.i −1.41795 0.365918i
\(215\) −1.02729e6 + 358043.i −1.51564 + 0.528249i
\(216\) −131028. + 138508.i −0.191087 + 0.201995i
\(217\) 613171. 0.883959
\(218\) −568267. 146648.i −0.809862 0.208994i
\(219\) 820419. 820419.i 1.15591 1.15591i
\(220\) −890975. 152701.i −1.24111 0.212708i
\(221\) −485040. 485040.i −0.668032 0.668032i
\(222\) 583516. 344127.i 0.794639 0.468636i
\(223\) 338607.i 0.455968i 0.973665 + 0.227984i \(0.0732134\pi\)
−0.973665 + 0.227984i \(0.926787\pi\)
\(224\) 1.01722e6 + 526165.i 1.35454 + 0.700651i
\(225\) −471317. + 373965.i −0.620664 + 0.492464i
\(226\) −486410. 824778.i −0.633478 1.07415i
\(227\) 208667. 208667.i 0.268775 0.268775i −0.559832 0.828606i \(-0.689134\pi\)
0.828606 + 0.559832i \(0.189134\pi\)
\(228\) −326830. + 591069.i −0.416375 + 0.753010i
\(229\) −185285. + 185285.i −0.233481 + 0.233481i −0.814144 0.580663i \(-0.802793\pi\)
0.580663 + 0.814144i \(0.302793\pi\)
\(230\) 53966.8 + 650168.i 0.0672678 + 0.810412i
\(231\) 2.08501e6i 2.57086i
\(232\) 210612. 222635.i 0.256900 0.271565i
\(233\) −1.01674e6 −1.22693 −0.613465 0.789722i \(-0.710225\pi\)
−0.613465 + 0.789722i \(0.710225\pi\)
\(234\) −681857. 175961.i −0.814055 0.210076i
\(235\) 688196. + 332464.i 0.812910 + 0.392712i
\(236\) 446340. + 1.55047e6i 0.521658 + 1.81211i
\(237\) 970773. 970773.i 1.12266 1.12266i
\(238\) −602729. 1.02201e6i −0.689731 1.16954i
\(239\) 1.07933e6 1.22225 0.611125 0.791534i \(-0.290717\pi\)
0.611125 + 0.791534i \(0.290717\pi\)
\(240\) −746373. + 932776.i −0.836426 + 1.04532i
\(241\) −607308. −0.673544 −0.336772 0.941586i \(-0.609335\pi\)
−0.336772 + 0.941586i \(0.609335\pi\)
\(242\) 271010. + 459536.i 0.297472 + 0.504407i
\(243\) 833788. 833788.i 0.905816 0.905816i
\(244\) −1.09972e6 + 316582.i −1.18252 + 0.340417i
\(245\) 541806. 1.12153e6i 0.576672 1.19370i
\(246\) −1.41936e6 366282.i −1.49539 0.385902i
\(247\) 653927. 0.682004
\(248\) 15573.5 + 561200.i 0.0160789 + 0.579413i
\(249\) 878917.i 0.898358i
\(250\) 720670. 676164.i 0.729266 0.684230i
\(251\) −670839. + 670839.i −0.672100 + 0.672100i −0.958200 0.286100i \(-0.907641\pi\)
0.286100 + 0.958200i \(0.407641\pi\)
\(252\) −1.06596e6 589418.i −1.05740 0.584685i
\(253\) 737188. 737188.i 0.724064 0.724064i
\(254\) 408691. + 692994.i 0.397476 + 0.673977i
\(255\) 1.16872e6 407338.i 1.12554 0.392287i
\(256\) −455732. + 944362.i −0.434620 + 0.900614i
\(257\) 490347.i 0.463095i −0.972824 0.231548i \(-0.925621\pi\)
0.972824 0.231548i \(-0.0743789\pi\)
\(258\) 1.97894e6 1.16708e6i 1.85090 1.09156i
\(259\) −802211. 802211.i −0.743086 0.743086i
\(260\) 1.14001e6 + 195382.i 1.04586 + 0.179247i
\(261\) −230487. + 230487.i −0.209433 + 0.209433i
\(262\) −1.96317e6 506618.i −1.76687 0.455961i
\(263\) −1.26307e6 −1.12600 −0.562999 0.826457i \(-0.690353\pi\)
−0.562999 + 0.826457i \(0.690353\pi\)
\(264\) 1.90829e6 52955.8i 1.68513 0.0467631i
\(265\) −767770. + 267592.i −0.671609 + 0.234077i
\(266\) 1.09523e6 + 282638.i 0.949079 + 0.244921i
\(267\) 837460. + 837460.i 0.718929 + 0.718929i
\(268\) −6059.89 21050.5i −0.00515380 0.0179030i
\(269\) 860158. + 860158.i 0.724766 + 0.724766i 0.969572 0.244806i \(-0.0787243\pi\)
−0.244806 + 0.969572i \(0.578724\pi\)
\(270\) −215231. + 254196.i −0.179679 + 0.212207i
\(271\) 98647.1 0.0815945 0.0407973 0.999167i \(-0.487010\pi\)
0.0407973 + 0.999167i \(0.487010\pi\)
\(272\) 920081. 577601.i 0.754057 0.473375i
\(273\) 2.66779e6i 2.16643i
\(274\) −111638. + 65838.0i −0.0898327 + 0.0529786i
\(275\) −1.56879e6 180679.i −1.25093 0.144071i
\(276\) −381144. 1.32400e6i −0.301173 1.04620i
\(277\) −310523. 310523.i −0.243161 0.243161i 0.574996 0.818156i \(-0.305004\pi\)
−0.818156 + 0.574996i \(0.805004\pi\)
\(278\) −129485. + 501762.i −0.100487 + 0.389391i
\(279\) 597114.i 0.459248i
\(280\) 1.82490e6 + 819966.i 1.39106 + 0.625030i
\(281\) 747433.i 0.564686i 0.959314 + 0.282343i \(0.0911115\pi\)
−0.959314 + 0.282343i \(0.908888\pi\)
\(282\) −1.56286e6 403314.i −1.17030 0.302009i
\(283\) 887338. + 887338.i 0.658602 + 0.658602i 0.955049 0.296447i \(-0.0958019\pi\)
−0.296447 + 0.955049i \(0.595802\pi\)
\(284\) −566087. 313016.i −0.416474 0.230288i
\(285\) −513247. + 1.06242e6i −0.374296 + 0.774788i
\(286\) −938913. 1.59206e6i −0.678751 1.15092i
\(287\) 2.45488e6i 1.75924i
\(288\) 512387. 990579.i 0.364013 0.703733i
\(289\) 294357. 0.207315
\(290\) 345958. 408589.i 0.241562 0.285294i
\(291\) 1.23493e6 + 1.23493e6i 0.854889 + 0.854889i
\(292\) 860886. 1.55690e6i 0.590865 1.06857i
\(293\) −942718. 942718.i −0.641524 0.641524i 0.309406 0.950930i \(-0.399870\pi\)
−0.950930 + 0.309406i \(0.899870\pi\)
\(294\) −657268. + 2.54694e6i −0.443480 + 1.71851i
\(295\) 927631. + 2.66154e6i 0.620612 + 1.78065i
\(296\) 713842. 754592.i 0.473558 0.500591i
\(297\) 532257. 0.350131
\(298\) −723287. + 2.80277e6i −0.471813 + 1.82830i
\(299\) −943238. + 943238.i −0.610160 + 0.610160i
\(300\) −1.21219e6 + 1.69879e6i −0.777620 + 1.08978i
\(301\) −2.72063e6 2.72063e6i −1.73082 1.73082i
\(302\) −286696. 486134.i −0.180886 0.306717i
\(303\) 1.33936e6i 0.838090i
\(304\) −230865. + 1.00958e6i −0.143276 + 0.626552i
\(305\) −1.88779e6 + 657954.i −1.16199 + 0.404991i
\(306\) −995251. + 586946.i −0.607616 + 0.358340i
\(307\) 199964. 199964.i 0.121089 0.121089i −0.643965 0.765055i \(-0.722712\pi\)
0.765055 + 0.643965i \(0.222712\pi\)
\(308\) −884428. 3.07228e6i −0.531234 1.84537i
\(309\) −2.66423e6 + 2.66423e6i −1.58736 + 1.58736i
\(310\) 81127.9 + 977392.i 0.0479475 + 0.577649i
\(311\) 1.78808e6i 1.04830i −0.851625 0.524152i \(-0.824382\pi\)
0.851625 0.524152i \(-0.175618\pi\)
\(312\) −2.44167e6 + 67757.3i −1.42004 + 0.0394067i
\(313\) −1.08570e6 −0.626397 −0.313198 0.949688i \(-0.601400\pi\)
−0.313198 + 0.949688i \(0.601400\pi\)
\(314\) 213295. 826526.i 0.122083 0.473078i
\(315\) −1.91600e6 925610.i −1.08798 0.525596i
\(316\) 1.01866e6 1.84223e6i 0.573865 1.03783i
\(317\) −1.14368e6 + 1.14368e6i −0.639229 + 0.639229i −0.950365 0.311137i \(-0.899290\pi\)
0.311137 + 0.950365i \(0.399290\pi\)
\(318\) 1.47901e6 872243.i 0.820170 0.483693i
\(319\) −855539. −0.470721
\(320\) −704118. + 1.69105e6i −0.384388 + 0.923171i
\(321\) 3.61933e6 1.96049
\(322\) −1.98747e6 + 1.17210e6i −1.06822 + 0.629979i
\(323\) 758695. 758695.i 0.404633 0.404633i
\(324\) 1.06482e6 1.92572e6i 0.563527 1.01913i
\(325\) 2.00728e6 + 231181.i 1.05415 + 0.121407i
\(326\) 460838. 1.78577e6i 0.240162 0.930638i
\(327\) 2.16514e6 1.11974
\(328\) −2.24680e6 + 62349.7i −1.15314 + 0.0320000i
\(329\) 2.70307e6i 1.37679i
\(330\) 3.32350e6 275865.i 1.68000 0.139448i
\(331\) −1.90213e6 + 1.90213e6i −0.954266 + 0.954266i −0.998999 0.0447326i \(-0.985756\pi\)
0.0447326 + 0.998999i \(0.485756\pi\)
\(332\) 372823. + 1.29509e6i 0.185634 + 0.644845i
\(333\) −781204. + 781204.i −0.386059 + 0.386059i
\(334\) 413351. 243772.i 0.202746 0.119569i
\(335\) −12594.3 36135.3i −0.00613144 0.0175922i
\(336\) −4.11872e6 941844.i −1.99028 0.455125i
\(337\) 515658.i 0.247336i −0.992324 0.123668i \(-0.960534\pi\)
0.992324 0.123668i \(-0.0394658\pi\)
\(338\) 134395. + 227886.i 0.0639870 + 0.108499i
\(339\) 2.49786e6 + 2.49786e6i 1.18051 + 1.18051i
\(340\) 1.54934e6 1.09597e6i 0.726857 0.514163i
\(341\) 1.10821e6 1.10821e6i 0.516102 0.516102i
\(342\) 275236. 1.06655e6i 0.127245 0.493080i
\(343\) 1.08225e6 0.496699
\(344\) 2.42093e6 2.55913e6i 1.10303 1.16599i
\(345\) −792133. 2.27277e6i −0.358303 1.02803i
\(346\) −932154. + 3.61213e6i −0.418598 + 1.62209i
\(347\) 890909. + 890909.i 0.397200 + 0.397200i 0.877244 0.480044i \(-0.159379\pi\)
−0.480044 + 0.877244i \(0.659379\pi\)
\(348\) −547111. + 989445.i −0.242174 + 0.437969i
\(349\) 1.40380e6 + 1.40380e6i 0.616939 + 0.616939i 0.944745 0.327806i \(-0.106309\pi\)
−0.327806 + 0.944745i \(0.606309\pi\)
\(350\) 3.26199e6 + 1.25477e6i 1.42335 + 0.547514i
\(351\) −681027. −0.295051
\(352\) 2.78942e6 887497.i 1.19993 0.381777i
\(353\) 344923.i 0.147328i 0.997283 + 0.0736641i \(0.0234693\pi\)
−0.997283 + 0.0736641i \(0.976531\pi\)
\(354\) −3.02370e6 5.12712e6i −1.28242 2.17453i
\(355\) −1.01751e6 491555.i −0.428518 0.207015i
\(356\) 1.58924e6 + 878768.i 0.664607 + 0.367493i
\(357\) 3.09520e6 + 3.09520e6i 1.28534 + 1.28534i
\(358\) 2.60748e6 + 672892.i 1.07526 + 0.277484i
\(359\) 2.74446e6i 1.12388i −0.827178 0.561941i \(-0.810055\pi\)
0.827178 0.561941i \(-0.189945\pi\)
\(360\) 798494. 1.77712e6i 0.324725 0.722702i
\(361\) 1.45323e6i 0.586904i
\(362\) 1.02516e6 3.97253e6i 0.411168 1.59329i
\(363\) −1.39172e6 1.39172e6i −0.554351 0.554351i
\(364\) 1.13163e6 + 3.93101e6i 0.447664 + 1.55507i
\(365\) 1.35192e6 2.79845e6i 0.531151 1.09948i
\(366\) 3.63658e6 2.14466e6i 1.41903 0.836867i
\(367\) 1.63167e6i 0.632362i 0.948699 + 0.316181i \(0.102401\pi\)
−0.948699 + 0.316181i \(0.897599\pi\)
\(368\) −1.12324e6 1.78924e6i −0.432366 0.688732i
\(369\) 2.39059e6 0.913986
\(370\) 1.17258e6 1.38486e6i 0.445285 0.525898i
\(371\) −2.03333e6 2.03333e6i −0.766960 0.766960i
\(372\) −572970. 1.99035e6i −0.214672 0.745715i
\(373\) −39770.5 39770.5i −0.0148009 0.0148009i 0.699668 0.714469i \(-0.253331\pi\)
−0.714469 + 0.699668i \(0.753331\pi\)
\(374\) −2.93647e6 757789.i −1.08554 0.280136i
\(375\) −1.95105e6 + 3.07973e6i −0.716456 + 1.13093i
\(376\) −2.47396e6 + 68653.5i −0.902451 + 0.0250434i
\(377\) 1.09467e6 0.396670
\(378\) −1.14062e6 294351.i −0.410593 0.105958i
\(379\) 3.49975e6 3.49975e6i 1.25152 1.25152i 0.296484 0.955038i \(-0.404186\pi\)
0.955038 0.296484i \(-0.0958141\pi\)
\(380\) −305614. + 1.78319e6i −0.108571 + 0.633489i
\(381\) −2.09875e6 2.09875e6i −0.740711 0.740711i
\(382\) −2.91179e6 + 1.71722e6i −1.02094 + 0.602099i
\(383\) 218681.i 0.0761753i 0.999274 + 0.0380876i \(0.0121266\pi\)
−0.999274 + 0.0380876i \(0.987873\pi\)
\(384\) 757406. 3.79355e6i 0.262120 1.31286i
\(385\) −1.83811e6 5.27387e6i −0.632004 1.81333i
\(386\) 2.43299e6 + 4.12548e6i 0.831136 + 1.40931i
\(387\) −2.64938e6 + 2.64938e6i −0.899223 + 0.899223i
\(388\) 2.34352e6 + 1.29584e6i 0.790295 + 0.436991i
\(389\) 1.08039e6 1.08039e6i 0.361998 0.361998i −0.502550 0.864548i \(-0.667605\pi\)
0.864548 + 0.502550i \(0.167605\pi\)
\(390\) −4.25244e6 + 352972.i −1.41572 + 0.117511i
\(391\) 2.18871e6i 0.724014i
\(392\) 111883. + 4.03174e6i 0.0367745 + 1.32519i
\(393\) 7.47982e6 2.44292
\(394\) −56284.0 14524.8i −0.0182661 0.00471377i
\(395\) 1.59968e6 3.31131e6i 0.515869 1.06784i
\(396\) −2.99183e6 + 861268.i −0.958735 + 0.275995i
\(397\) 1.89209e6 1.89209e6i 0.602513 0.602513i −0.338466 0.940979i \(-0.609908\pi\)
0.940979 + 0.338466i \(0.109908\pi\)
\(398\) 1.94564e6 + 3.29912e6i 0.615681 + 1.04397i
\(399\) −4.17292e6 −1.31222
\(400\) −1.06557e6 + 3.01738e6i −0.332991 + 0.942930i
\(401\) −151592. −0.0470776 −0.0235388 0.999723i \(-0.507493\pi\)
−0.0235388 + 0.999723i \(0.507493\pi\)
\(402\) 41052.4 + 69610.1i 0.0126699 + 0.0214836i
\(403\) −1.41796e6 + 1.41796e6i −0.434913 + 0.434913i
\(404\) −568136. 1.97356e6i −0.173180 0.601585i
\(405\) 1.67218e6 3.46139e6i 0.506576 1.04861i
\(406\) 1.83341e6 + 473133.i 0.552007 + 0.142452i
\(407\) −2.89974e6 −0.867706
\(408\) −2.75424e6 + 2.91147e6i −0.819128 + 0.865888i
\(409\) 3.75984e6i 1.11138i −0.831391 0.555688i \(-0.812455\pi\)
0.831391 0.555688i \(-0.187545\pi\)
\(410\) −3.91306e6 + 324802.i −1.14963 + 0.0954242i
\(411\) 338098. 338098.i 0.0987276 0.0987276i
\(412\) −2.79564e6 + 5.05588e6i −0.811405 + 1.46742i
\(413\) −7.04870e6 + 7.04870e6i −2.03345 + 2.03345i
\(414\) 1.14141e6 + 1.93542e6i 0.327296 + 0.554977i
\(415\) 774839. + 2.22315e6i 0.220847 + 0.633649i
\(416\) −3.56908e6 + 1.13556e6i −1.01117 + 0.321719i
\(417\) 1.91175e6i 0.538383i
\(418\) 2.49028e6 1.46864e6i 0.697120 0.411125i
\(419\) −2.86013e6 2.86013e6i −0.795885 0.795885i 0.186559 0.982444i \(-0.440267\pi\)
−0.982444 + 0.186559i \(0.940267\pi\)
\(420\) −7.27477e6 1.24679e6i −2.01232 0.344883i
\(421\) −750678. + 750678.i −0.206418 + 0.206418i −0.802743 0.596325i \(-0.796627\pi\)
0.596325 + 0.802743i \(0.296627\pi\)
\(422\) −1.01061e6 260800.i −0.276250 0.0712896i
\(423\) 2.63229e6 0.715290
\(424\) 1.80934e6 1.91263e6i 0.488772 0.516674i
\(425\) 2.59709e6 2.06066e6i 0.697454 0.553393i
\(426\) 2.31072e6 + 596308.i 0.616912 + 0.159201i
\(427\) −4.99953e6 4.99953e6i −1.32697 1.32697i
\(428\) 5.33311e6 1.53526e6i 1.40725 0.405110i
\(429\) 4.82160e6 + 4.82160e6i 1.26488 + 1.26488i
\(430\) 3.97670e6 4.69663e6i 1.03718 1.22494i
\(431\) −2.90006e6 −0.751994 −0.375997 0.926621i \(-0.622700\pi\)
−0.375997 + 0.926621i \(0.622700\pi\)
\(432\) 240432. 1.05142e6i 0.0619845 0.271061i
\(433\) 725732.i 0.186019i −0.995665 0.0930093i \(-0.970351\pi\)
0.995665 0.0930093i \(-0.0296486\pi\)
\(434\) −2.98774e6 + 1.76201e6i −0.761411 + 0.449040i
\(435\) −859172. + 1.77848e6i −0.217699 + 0.450635i
\(436\) 3.19035e6 918419.i 0.803753 0.231379i
\(437\) −1.47540e6 1.47540e6i −0.369579 0.369579i
\(438\) −1.64002e6 + 6.35515e6i −0.408474 + 1.58285i
\(439\) 6.51471e6i 1.61337i 0.590982 + 0.806684i \(0.298740\pi\)
−0.590982 + 0.806684i \(0.701260\pi\)
\(440\) 4.78018e6 1.81626e6i 1.17710 0.447247i
\(441\) 4.28976e6i 1.05036i
\(442\) 3.75723e6 + 969598.i 0.914771 + 0.236067i
\(443\) −819848. 819848.i −0.198483 0.198483i 0.600866 0.799350i \(-0.294822\pi\)
−0.799350 + 0.600866i \(0.794822\pi\)
\(444\) −1.85436e6 + 3.35359e6i −0.446413 + 0.807333i
\(445\) 2.85658e6 + 1.38000e6i 0.683828 + 0.330353i
\(446\) −973026. 1.64990e6i −0.231626 0.392755i
\(447\) 1.06788e7i 2.52786i
\(448\) −6.46849e6 + 359283.i −1.52268 + 0.0845750i
\(449\) −454161. −0.106315 −0.0531574 0.998586i \(-0.516929\pi\)
−0.0531574 + 0.998586i \(0.516929\pi\)
\(450\) 1.22191e6 3.17657e6i 0.284452 0.739481i
\(451\) 4.43680e6 + 4.43680e6i 1.02714 + 1.02714i
\(452\) 4.74018e6 + 2.62107e6i 1.09131 + 0.603438i
\(453\) 1.47227e6 + 1.47227e6i 0.337087 + 0.337087i
\(454\) −417125. + 1.61638e6i −0.0949788 + 0.368047i
\(455\) 2.35188e6 + 6.74796e6i 0.532582 + 1.52807i
\(456\) −105985. 3.81923e6i −0.0238690 0.860130i
\(457\) −1.49568e6 −0.335003 −0.167502 0.985872i \(-0.553570\pi\)
−0.167502 + 0.985872i \(0.553570\pi\)
\(458\) 370385. 1.43526e6i 0.0825069 0.319718i
\(459\) −790136. + 790136.i −0.175053 + 0.175053i
\(460\) −2.13129e6 3.01294e6i −0.469621 0.663889i
\(461\) 3.51202e6 + 3.51202e6i 0.769670 + 0.769670i 0.978048 0.208378i \(-0.0668184\pi\)
−0.208378 + 0.978048i \(0.566818\pi\)
\(462\) 5.99150e6 + 1.01594e7i 1.30596 + 2.21445i
\(463\) 4.64356e6i 1.00670i −0.864083 0.503349i \(-0.832101\pi\)
0.864083 0.503349i \(-0.167899\pi\)
\(464\) −386466. + 1.69003e6i −0.0833328 + 0.364418i
\(465\) −1.19081e6 3.41664e6i −0.255393 0.732768i
\(466\) 4.95418e6 2.92171e6i 1.05683 0.623265i
\(467\) 1.32341e6 1.32341e6i 0.280803 0.280803i −0.552626 0.833429i \(-0.686374\pi\)
0.833429 + 0.552626i \(0.186374\pi\)
\(468\) 3.82807e6 1.10200e6i 0.807914 0.232577i
\(469\) 95699.2 95699.2i 0.0200898 0.0200898i
\(470\) −4.30868e6 + 357640.i −0.899704 + 0.0746795i
\(471\) 3.14913e6i 0.654091i
\(472\) −6.63030e6 6.27224e6i −1.36987 1.29589i
\(473\) −9.83421e6 −2.02109
\(474\) −1.94058e6 + 7.51982e6i −0.396721 + 1.53731i
\(475\) −361610. + 3.13977e6i −0.0735371 + 0.638505i
\(476\) 5.87374e6 + 3.24787e6i 1.18822 + 0.657023i
\(477\) −1.98008e6 + 1.98008e6i −0.398463 + 0.398463i
\(478\) −5.25916e6 + 3.10158e6i −1.05280 + 0.620887i
\(479\) −3.05547e6 −0.608471 −0.304235 0.952597i \(-0.598401\pi\)
−0.304235 + 0.952597i \(0.598401\pi\)
\(480\) 956351. 6.68984e6i 0.189459 1.32530i
\(481\) 3.71024e6 0.731205
\(482\) 2.95918e6 1.74517e6i 0.580167 0.342152i
\(483\) 6.01911e6 6.01911e6i 1.17399 1.17399i
\(484\) −2.64105e6 1.46036e6i −0.512464 0.283366i
\(485\) 4.21236e6 + 2.03497e6i 0.813150 + 0.392828i
\(486\) −1.66675e6 + 6.45871e6i −0.320095 + 1.24038i
\(487\) 125510. 0.0239804 0.0119902 0.999928i \(-0.496183\pi\)
0.0119902 + 0.999928i \(0.496183\pi\)
\(488\) 4.44880e6 4.70276e6i 0.845655 0.893930i
\(489\) 6.80391e6i 1.28673i
\(490\) 582835. + 7.02173e6i 0.109662 + 1.32116i
\(491\) −4.39166e6 + 4.39166e6i −0.822101 + 0.822101i −0.986409 0.164308i \(-0.947461\pi\)
0.164308 + 0.986409i \(0.447461\pi\)
\(492\) 7.96853e6 2.29393e6i 1.48411 0.427235i
\(493\) 1.27005e6 1.27005e6i 0.235344 0.235344i
\(494\) −3.18634e6 + 1.87913e6i −0.587454 + 0.346450i
\(495\) −5.13577e6 + 1.78998e6i −0.942090 + 0.328348i
\(496\) −1.68855e6 2.68976e6i −0.308184 0.490918i
\(497\) 3.99655e6i 0.725762i
\(498\) −2.52566e6 4.28262e6i −0.456354 0.773814i
\(499\) −7.01105e6 7.01105e6i −1.26047 1.26047i −0.950867 0.309600i \(-0.899805\pi\)
−0.309600 0.950867i \(-0.600195\pi\)
\(500\) −1.56851e6 + 5.36561e6i −0.280584 + 0.959829i
\(501\) −1.25185e6 + 1.25185e6i −0.222821 + 0.222821i
\(502\) 1.34101e6 5.19647e6i 0.237505 0.920341i
\(503\) 3.34036e6 0.588672 0.294336 0.955702i \(-0.404902\pi\)
0.294336 + 0.955702i \(0.404902\pi\)
\(504\) 6.88775e6 191138.i 1.20782 0.0335174i
\(505\) −1.18076e6 3.38781e6i −0.206031 0.591140i
\(506\) −1.47364e6 + 5.71043e6i −0.255868 + 0.991499i
\(507\) −690160. 690160.i −0.119242 0.119242i
\(508\) −3.98279e6 2.20227e6i −0.684743 0.378627i
\(509\) −4.07250e6 4.07250e6i −0.696734 0.696734i 0.266971 0.963705i \(-0.413977\pi\)
−0.963705 + 0.266971i \(0.913977\pi\)
\(510\) −4.52421e6 + 5.34326e6i −0.770225 + 0.909663i
\(511\) 1.09917e7 1.86214
\(512\) −493120. 5.91111e6i −0.0831338 0.996538i
\(513\) 1.06526e6i 0.178715i
\(514\) 1.40907e6 + 2.38927e6i 0.235247 + 0.398894i
\(515\) −4.39022e6 + 9.08770e6i −0.729403 + 1.50986i
\(516\) −6.28890e6 + 1.13734e7i −1.03980 + 1.88047i
\(517\) 4.88537e6 + 4.88537e6i 0.803843 + 0.803843i
\(518\) 6.21410e6 + 1.60362e6i 1.01755 + 0.262590i
\(519\) 1.37625e7i 2.24274i
\(520\) −6.11628e6 + 2.32392e6i −0.991926 + 0.376889i
\(521\) 540298.i 0.0872046i −0.999049 0.0436023i \(-0.986117\pi\)
0.999049 0.0436023i \(-0.0138834\pi\)
\(522\) 460743. 1.78540e6i 0.0740087 0.286787i
\(523\) −1.31638e6 1.31638e6i −0.210439 0.210439i 0.594015 0.804454i \(-0.297542\pi\)
−0.804454 + 0.594015i \(0.797542\pi\)
\(524\) 1.10216e7 3.17282e6i 1.75354 0.504798i
\(525\) −1.28091e7 1.47524e6i −2.02825 0.233595i
\(526\) 6.15445e6 3.62957e6i 0.969895 0.571993i
\(527\) 3.29028e6i 0.516067i
\(528\) −9.14618e6 + 5.74171e6i −1.42776 + 0.896306i
\(529\) −2.18004e6 −0.338708
\(530\) 2.97209e6 3.51015e6i 0.459592 0.542794i
\(531\) 6.86413e6 + 6.86413e6i 1.05645 + 1.05645i
\(532\) −6.14883e6 + 1.77009e6i −0.941919 + 0.271154i
\(533\) −5.67692e6 5.67692e6i −0.865555 0.865555i
\(534\) −6.48716e6 1.67409e6i −0.984467 0.254053i
\(535\) 9.15481e6 3.19074e6i 1.38282 0.481956i
\(536\) 90018.5 + 85157.3i 0.0135338 + 0.0128029i
\(537\) −9.93472e6 −1.48669
\(538\) −6.66298e6 1.71946e6i −0.992460 0.256116i
\(539\) 7.96155e6 7.96155e6i 1.18039 1.18039i
\(540\) 318279. 1.85709e6i 0.0469704 0.274062i
\(541\) −4.99584e6 4.99584e6i −0.733864 0.733864i 0.237519 0.971383i \(-0.423666\pi\)
−0.971383 + 0.237519i \(0.923666\pi\)
\(542\) −480669. + 283473.i −0.0702827 + 0.0414490i
\(543\) 1.51356e7i 2.20293i
\(544\) −2.82340e6 + 5.45838e6i −0.409049 + 0.790800i
\(545\) 5.47656e6 1.90875e6i 0.789799 0.275270i
\(546\) −7.66618e6 1.29991e7i −1.10052 1.86608i
\(547\) −7.33335e6 + 7.33335e6i −1.04793 + 1.04793i −0.0491424 + 0.998792i \(0.515649\pi\)
−0.998792 + 0.0491424i \(0.984351\pi\)
\(548\) 354775. 641607.i 0.0504663 0.0912678i
\(549\) −4.86861e6 + 4.86861e6i −0.689405 + 0.689405i
\(550\) 8.16333e6 3.62772e6i 1.15070 0.511361i
\(551\) 1.71227e6i 0.240266i
\(552\) 5.66181e6 + 5.35606e6i 0.790875 + 0.748166i
\(553\) 1.30061e7 1.80856
\(554\) 2.40538e6 + 620736.i 0.332973 + 0.0859275i
\(555\) −2.91205e6 + 6.02791e6i −0.401298 + 0.830682i
\(556\) −810935. 2.81698e6i −0.111250 0.386453i
\(557\) −3.76820e6 + 3.76820e6i −0.514631 + 0.514631i −0.915942 0.401311i \(-0.868555\pi\)
0.401311 + 0.915942i \(0.368555\pi\)
\(558\) 1.71587e6 + 2.90951e6i 0.233292 + 0.395580i
\(559\) 1.25829e7 1.70315
\(560\) −1.12483e7 + 1.24868e6i −1.51571 + 0.168260i
\(561\) 1.11882e7 1.50090
\(562\) −2.14783e6 3.64195e6i −0.286853 0.486400i
\(563\) 1.38036e6 1.38036e6i 0.183537 0.183537i −0.609358 0.792895i \(-0.708573\pi\)
0.792895 + 0.609358i \(0.208573\pi\)
\(564\) 8.77417e6 2.52585e6i 1.16147 0.334357i
\(565\) 8.52023e6 + 4.11608e6i 1.12287 + 0.542453i
\(566\) −6.87352e6 1.77379e6i −0.901858 0.232735i
\(567\) 1.35955e7 1.77598
\(568\) 3.65781e6 101506.i 0.475719 0.0132014i
\(569\) 5.73504e6i 0.742601i 0.928513 + 0.371301i \(0.121088\pi\)
−0.928513 + 0.371301i \(0.878912\pi\)
\(570\) −552114. 6.65162e6i −0.0711774 0.857512i
\(571\) −1.04498e6 + 1.04498e6i −0.134127 + 0.134127i −0.770983 0.636856i \(-0.780235\pi\)
0.636856 + 0.770983i \(0.280235\pi\)
\(572\) 9.14992e6 + 5.05942e6i 1.16930 + 0.646563i
\(573\) 8.81845e6 8.81845e6i 1.12203 1.12203i
\(574\) −7.05435e6 1.19617e7i −0.893671 1.51535i
\(575\) −4.00728e6 5.05046e6i −0.505452 0.637033i
\(576\) 349875. + 6.29911e6i 0.0439397 + 0.791084i
\(577\) 3.93936e6i 0.492591i −0.969195 0.246295i \(-0.920787\pi\)
0.969195 0.246295i \(-0.0792134\pi\)
\(578\) −1.43429e6 + 845868.i −0.178574 + 0.105313i
\(579\) −1.24941e7 1.24941e7i −1.54885 1.54885i
\(580\) −511596. + 2.98505e6i −0.0631476 + 0.368452i
\(581\) −5.88770e6 + 5.88770e6i −0.723611 + 0.723611i
\(582\) −9.56605e6 2.46863e6i −1.17064 0.302098i
\(583\) −7.34984e6 −0.895585
\(584\) 279170. + 1.00600e7i 0.0338717 + 1.22058i
\(585\) 6.57126e6 2.29029e6i 0.793887 0.276695i
\(586\) 7.30250e6 + 1.88450e6i 0.878472 + 0.226700i
\(587\) −2.84082e6 2.84082e6i −0.340289 0.340289i 0.516187 0.856476i \(-0.327351\pi\)
−0.856476 + 0.516187i \(0.827351\pi\)
\(588\) −4.11631e6 1.42990e7i −0.490981 1.70554i
\(589\) −2.21796e6 2.21796e6i −0.263430 0.263430i
\(590\) −1.21682e7 1.03030e7i −1.43912 1.21852i
\(591\) 214447. 0.0252552
\(592\) −1.30987e6 + 5.72814e6i −0.153612 + 0.671752i
\(593\) 8.67026e6i 1.01250i 0.862387 + 0.506250i \(0.168969\pi\)
−0.862387 + 0.506250i \(0.831031\pi\)
\(594\) −2.59348e6 + 1.52950e6i −0.301590 + 0.177862i
\(595\) 1.05577e7 + 5.10039e6i 1.22258 + 0.590623i
\(596\) −4.52976e6 1.57352e7i −0.522348 1.81450i
\(597\) −9.99148e6 9.99148e6i −1.14734 1.14734i
\(598\) 1.88554e6 7.30654e6i 0.215617 0.835523i
\(599\) 9.99661e6i 1.13838i −0.822207 0.569188i \(-0.807258\pi\)
0.822207 0.569188i \(-0.192742\pi\)
\(600\) 1.02487e6 1.17609e7i 0.116222 1.33372i
\(601\) 1.34274e7i 1.51638i 0.652037 + 0.758188i \(0.273915\pi\)
−0.652037 + 0.758188i \(0.726085\pi\)
\(602\) 2.10746e7 + 5.43854e6i 2.37011 + 0.611634i
\(603\) −93193.2 93193.2i −0.0104374 0.0104374i
\(604\) 2.79392e6 + 1.54489e6i 0.311617 + 0.172308i
\(605\) −4.74716e6 2.29333e6i −0.527285 0.254728i
\(606\) 3.84880e6 + 6.52619e6i 0.425739 + 0.721901i
\(607\) 3.61238e6i 0.397944i 0.980005 + 0.198972i \(0.0637603\pi\)
−0.980005 + 0.198972i \(0.936240\pi\)
\(608\) −1.77623e6 5.58271e6i −0.194868 0.612472i
\(609\) −6.98544e6 −0.763221
\(610\) 7.30775e6 8.63071e6i 0.795168 0.939122i
\(611\) −6.25087e6 6.25087e6i −0.677388 0.677388i
\(612\) 3.16282e6 5.71993e6i 0.341347 0.617322i
\(613\) 6.22589e6 + 6.22589e6i 0.669191 + 0.669191i 0.957529 0.288338i \(-0.0931025\pi\)
−0.288338 + 0.957529i \(0.593103\pi\)
\(614\) −399728. + 1.54896e6i −0.0427902 + 0.165814i
\(615\) 1.36788e7 4.76748e6i 1.45834 0.508278i
\(616\) 1.31380e7 + 1.24285e7i 1.39501 + 1.31968i
\(617\) 5.55483e6 0.587433 0.293716 0.955893i \(-0.405108\pi\)
0.293716 + 0.955893i \(0.405108\pi\)
\(618\) 5.32580e6 2.06377e7i 0.560936 2.17365i
\(619\) 4.60605e6 4.60605e6i 0.483173 0.483173i −0.422971 0.906143i \(-0.639013\pi\)
0.906143 + 0.422971i \(0.139013\pi\)
\(620\) −3.20395e6 4.52932e6i −0.334739 0.473210i
\(621\) 1.53655e6 + 1.53655e6i 0.159888 + 0.159888i
\(622\) 5.13826e6 + 8.71264e6i 0.532525 + 0.902971i
\(623\) 1.12200e7i 1.15817i
\(624\) 1.17026e7 7.34656e6i 1.20315 0.755306i
\(625\) −2.21998e6 + 9.50995e6i −0.227326 + 0.973819i
\(626\) 5.29020e6 3.11988e6i 0.539556 0.318202i
\(627\) −7.54189e6 + 7.54189e6i −0.766146 + 0.766146i
\(628\) 1.33581e6 + 4.64027e6i 0.135159 + 0.469509i
\(629\) 4.30466e6 4.30466e6i 0.433823 0.433823i
\(630\) 1.19958e7 995704.i 1.20414 0.0999491i
\(631\) 6.11656e6i 0.611553i 0.952103 + 0.305777i \(0.0989161\pi\)
−0.952103 + 0.305777i \(0.901084\pi\)
\(632\) 330332. + 1.19037e7i 0.0328971 + 1.18547i
\(633\) 3.85050e6 0.381951
\(634\) 2.28622e6 8.85920e6i 0.225889 0.875329i
\(635\) −7.15886e6 3.45841e6i −0.704546 0.340362i
\(636\) −4.70017e6 + 8.50021e6i −0.460756 + 0.833272i
\(637\) −1.01869e7 + 1.01869e7i −0.994699 + 0.994699i
\(638\) 4.16871e6 2.45849e6i 0.405462 0.239120i
\(639\) −3.89190e6 −0.377059
\(640\) −1.42853e6 1.02632e7i −0.137861 0.990452i
\(641\) −1.44906e7 −1.39297 −0.696486 0.717571i \(-0.745254\pi\)
−0.696486 + 0.717571i \(0.745254\pi\)
\(642\) −1.76356e7 + 1.04005e7i −1.68870 + 0.995906i
\(643\) 7.51121e6 7.51121e6i 0.716444 0.716444i −0.251431 0.967875i \(-0.580901\pi\)
0.967875 + 0.251431i \(0.0809011\pi\)
\(644\) 6.31599e6 1.14224e7i 0.600105 1.08528i
\(645\) −9.87596e6 + 2.04431e7i −0.934717 + 1.93485i
\(646\) −1.51663e6 + 5.87702e6i −0.142988 + 0.554084i
\(647\) −1.21708e7 −1.14304 −0.571518 0.820589i \(-0.693645\pi\)
−0.571518 + 0.820589i \(0.693645\pi\)
\(648\) 345304. + 1.24432e7i 0.0323045 + 1.16411i
\(649\) 2.54788e7i 2.37448i
\(650\) −1.04450e7 + 4.64170e6i −0.969676 + 0.430917i
\(651\) 9.04847e6 9.04847e6i 0.836802 0.836802i
\(652\) 2.88611e6 + 1.00256e7i 0.265885 + 0.923617i
\(653\) 1.45480e6 1.45480e6i 0.133512 0.133512i −0.637193 0.770705i \(-0.719904\pi\)
0.770705 + 0.637193i \(0.219904\pi\)
\(654\) −1.05499e7 + 6.22177e6i −0.964504 + 0.568813i
\(655\) 1.89196e7 6.59409e6i 1.72310 0.600554i
\(656\) 1.07686e7 6.76025e6i 0.977015 0.613342i
\(657\) 1.07038e7i 0.967445i
\(658\) −7.76757e6 1.31710e7i −0.699392 1.18592i
\(659\) 1.84194e6 + 1.84194e6i 0.165219 + 0.165219i 0.784874 0.619655i \(-0.212727\pi\)
−0.619655 + 0.784874i \(0.712727\pi\)
\(660\) −1.54014e7 + 1.08946e7i −1.37626 + 0.973536i
\(661\) 9.40155e6 9.40155e6i 0.836943 0.836943i −0.151512 0.988455i \(-0.548414\pi\)
0.988455 + 0.151512i \(0.0484144\pi\)
\(662\) 3.80236e6 1.47343e7i 0.337216 1.30673i
\(663\) −1.43153e7 −1.26479
\(664\) −5.53821e6 5.23913e6i −0.487471 0.461147i
\(665\) −1.05551e7 + 3.67878e6i −0.925566 + 0.322589i
\(666\) 1.56163e6 6.05138e6i 0.136425 0.528651i
\(667\) −2.46981e6 2.46981e6i −0.214956 0.214956i
\(668\) −1.31359e6 + 2.37562e6i −0.113899 + 0.205985i
\(669\) 4.99678e6 + 4.99678e6i 0.431643 + 0.431643i
\(670\) 165206. + 139882.i 0.0142180 + 0.0120386i
\(671\) −1.80717e7 −1.54951
\(672\) 2.27754e7 7.24637e6i 1.94556 0.619009i
\(673\) 3.81199e6i 0.324425i −0.986756 0.162213i \(-0.948137\pi\)
0.986756 0.162213i \(-0.0518630\pi\)
\(674\) 1.48180e6 + 2.51260e6i 0.125644 + 0.213047i
\(675\) 376596. 3.26989e6i 0.0318138 0.276232i
\(676\) −1.30971e6 724202.i −0.110232 0.0609527i
\(677\) 7.51839e6 + 7.51839e6i 0.630454 + 0.630454i 0.948182 0.317728i \(-0.102920\pi\)
−0.317728 + 0.948182i \(0.602920\pi\)
\(678\) −1.93490e7 4.99324e6i −1.61653 0.417165i
\(679\) 1.65451e7i 1.37720i
\(680\) −4.39994e6 + 9.79243e6i −0.364900 + 0.812116i
\(681\) 6.15853e6i 0.508872i
\(682\) −2.21531e6 + 8.58444e6i −0.182379 + 0.706726i
\(683\) 4.65282e6 + 4.65282e6i 0.381649 + 0.381649i 0.871696 0.490047i \(-0.163020\pi\)
−0.490047 + 0.871696i \(0.663020\pi\)
\(684\) 1.72374e6 + 5.98782e6i 0.140874 + 0.489360i
\(685\) 557131. 1.15326e6i 0.0453661 0.0939073i
\(686\) −5.27340e6 + 3.10997e6i −0.427839 + 0.252317i
\(687\) 5.46845e6i 0.442051i
\(688\) −4.44232e6 + 1.94265e7i −0.357799 + 1.56467i
\(689\) 9.40418e6 0.754698
\(690\) 1.03908e7 + 8.79805e6i 0.830858 + 0.703499i
\(691\) −2.46711e6 2.46711e6i −0.196559 0.196559i 0.601964 0.798523i \(-0.294385\pi\)
−0.798523 + 0.601964i \(0.794385\pi\)
\(692\) −5.83784e6 2.02792e7i −0.463433 1.60985i
\(693\) −1.36013e7 1.36013e7i −1.07584 1.07584i
\(694\) −6.90118e6 1.78093e6i −0.543907 0.140362i
\(695\) −1.68537e6 4.83563e6i −0.132353 0.379744i
\(696\) −177418. 6.39336e6i −0.0138828 0.500272i
\(697\) −1.31729e7 −1.02707
\(698\) −1.08742e7 2.80621e6i −0.844807 0.218012i
\(699\) −1.50039e7 + 1.50039e7i −1.16148 + 1.16148i
\(700\) −1.95001e7 + 3.25966e6i −1.50415 + 0.251435i
\(701\) 6.66766e6 + 6.66766e6i 0.512482 + 0.512482i 0.915286 0.402804i \(-0.131965\pi\)
−0.402804 + 0.915286i \(0.631965\pi\)
\(702\) 3.31838e6 1.95701e6i 0.254146 0.149882i
\(703\) 5.80351e6i 0.442897i
\(704\) −1.10414e7 + 1.23401e7i −0.839641 + 0.938400i
\(705\) 1.50617e7 5.24949e6i 1.14131 0.397781i
\(706\) −991175. 1.68068e6i −0.0748409 0.126903i
\(707\) 8.97213e6 8.97213e6i 0.675067 0.675067i
\(708\) 2.94667e7 + 1.62935e7i 2.20927 + 1.22161i
\(709\) −3.65715e6 + 3.65715e6i −0.273229 + 0.273229i −0.830399 0.557170i \(-0.811887\pi\)
0.557170 + 0.830399i \(0.311887\pi\)
\(710\) 6.37049e6 528779.i 0.474271 0.0393666i
\(711\) 1.26655e7i 0.939610i
\(712\) −1.02690e7 + 284969.i −0.759151 + 0.0210668i
\(713\) 6.39846e6 0.471359
\(714\) −2.39761e7 6.18731e6i −1.76008 0.454210i
\(715\) 1.64465e7 + 7.94522e6i 1.20312 + 0.581220i
\(716\) −1.46389e7 + 4.21415e6i −1.06715 + 0.307204i
\(717\) 1.59275e7 1.59275e7i 1.15705 1.15705i
\(718\) 7.88650e6 + 1.33727e7i 0.570917 + 0.968072i
\(719\) 1.52419e7 1.09956 0.549778 0.835311i \(-0.314712\pi\)
0.549778 + 0.835311i \(0.314712\pi\)
\(720\) 1.21598e6 + 1.09538e7i 0.0874171 + 0.787466i
\(721\) −3.56943e7 −2.55718
\(722\) 4.17603e6 + 7.08104e6i 0.298140 + 0.505539i
\(723\) −8.96196e6 + 8.96196e6i −0.637613 + 0.637613i
\(724\) 6.42030e6 + 2.23025e7i 0.455207 + 1.58127i
\(725\) −605332. + 5.25595e6i −0.0427709 + 0.371370i
\(726\) 1.07806e7 + 2.78205e6i 0.759101 + 0.195895i
\(727\) −1.00395e7 −0.704489 −0.352245 0.935908i \(-0.614582\pi\)
−0.352245 + 0.935908i \(0.614582\pi\)
\(728\) −1.68102e7 1.59024e7i −1.17556 1.11208i
\(729\) 7.89805e6i 0.550429i
\(730\) 1.45429e6 + 1.75207e7i 0.101006 + 1.21687i
\(731\) 1.45989e7 1.45989e7i 1.01048 1.01048i
\(732\) −1.15567e7 + 2.09002e7i −0.797182 + 1.44170i
\(733\) 8.05399e6 8.05399e6i 0.553670 0.553670i −0.373828 0.927498i \(-0.621955\pi\)
0.927498 + 0.373828i \(0.121955\pi\)
\(734\) −4.68877e6 7.95047e6i −0.321232 0.544694i
\(735\) −8.55494e6 2.45456e7i −0.584115 1.67593i
\(736\) 1.06147e7 + 5.49055e6i 0.722292 + 0.373613i
\(737\) 345922.i 0.0234590i
\(738\) −1.16484e7 + 6.86963e6i −0.787275 + 0.464293i
\(739\) 1.41510e7 + 1.41510e7i 0.953180 + 0.953180i 0.998952 0.0457721i \(-0.0145748\pi\)
−0.0457721 + 0.998952i \(0.514575\pi\)
\(740\) −1.73399e6 + 1.01174e7i −0.116404 + 0.679189i
\(741\) 9.64992e6 9.64992e6i 0.645621 0.645621i
\(742\) 1.57506e7 + 4.06463e6i 1.05024 + 0.271026i
\(743\) −3.61674e6 −0.240351 −0.120175 0.992753i \(-0.538346\pi\)
−0.120175 + 0.992753i \(0.538346\pi\)
\(744\) 8.51136e6 + 8.05173e6i 0.563724 + 0.533282i
\(745\) −9.41423e6 2.70111e7i −0.621433 1.78300i
\(746\) 308071. + 79501.3i 0.0202677 + 0.00523031i
\(747\) 5.73353e6 + 5.73353e6i 0.375941 + 0.375941i
\(748\) 1.64859e7 4.74584e6i 1.07735 0.310141i
\(749\) 2.42452e7 + 2.42452e7i 1.57914 + 1.57914i
\(750\) 656761. 2.06129e7i 0.0426338 1.33809i
\(751\) 7.20390e6 0.466088 0.233044 0.972466i \(-0.425131\pi\)
0.233044 + 0.972466i \(0.425131\pi\)
\(752\) 1.18574e7 7.44373e6i 0.764618 0.480005i
\(753\) 1.97989e7i 1.27249i
\(754\) −5.33390e6 + 3.14565e6i −0.341678 + 0.201503i
\(755\) 5.02192e6 + 2.42606e6i 0.320629 + 0.154894i
\(756\) 6.40365e6 1.84344e6i 0.407496 0.117307i
\(757\) −1.50659e7 1.50659e7i −0.955551 0.955551i 0.0435021 0.999053i \(-0.486148\pi\)
−0.999053 + 0.0435021i \(0.986148\pi\)
\(758\) −6.99600e6 + 2.71098e7i −0.442259 + 1.71377i
\(759\) 2.17572e7i 1.37088i
\(760\) −3.63506e6 9.56702e6i −0.228285 0.600818i
\(761\) 2.17823e7i