Properties

Label 76.6.f.a.27.10
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.10
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.70334 + 3.14303i) q^{2} +(7.75035 - 13.4240i) q^{3} +(12.2427 - 29.5654i) q^{4} +(-8.78700 + 15.2195i) q^{5} +(5.73951 + 87.4972i) q^{6} +77.0445i q^{7} +(35.3433 + 177.535i) q^{8} +(1.36406 + 2.36263i) q^{9} +O(q^{10})\) \(q+(-4.70334 + 3.14303i) q^{2} +(7.75035 - 13.4240i) q^{3} +(12.2427 - 29.5654i) q^{4} +(-8.78700 + 15.2195i) q^{5} +(5.73951 + 87.4972i) q^{6} +77.0445i q^{7} +(35.3433 + 177.535i) q^{8} +(1.36406 + 2.36263i) q^{9} +(-6.50720 - 99.2004i) q^{10} +67.5657i q^{11} +(-302.001 - 393.489i) q^{12} +(538.434 - 310.865i) q^{13} +(-242.153 - 362.366i) q^{14} +(136.205 + 235.914i) q^{15} +(-724.230 - 723.924i) q^{16} +(1125.58 - 1949.56i) q^{17} +(-13.8415 - 6.82494i) q^{18} +(-344.019 + 1535.50i) q^{19} +(342.395 + 446.121i) q^{20} +(1034.25 + 597.122i) q^{21} +(-212.361 - 317.784i) q^{22} +(1743.96 - 1006.88i) q^{23} +(2657.16 + 901.514i) q^{24} +(1408.08 + 2438.86i) q^{25} +(-1555.38 + 3154.42i) q^{26} +3808.96 q^{27} +(2277.85 + 943.236i) q^{28} +(4570.26 - 2638.64i) q^{29} +(-1382.10 - 681.485i) q^{30} -1021.36 q^{31} +(5681.61 + 1128.58i) q^{32} +(907.002 + 523.658i) q^{33} +(833.546 + 12707.2i) q^{34} +(-1172.58 - 676.990i) q^{35} +(86.5520 - 11.4041i) q^{36} -4516.66i q^{37} +(-3208.07 - 8303.22i) q^{38} -9637.26i q^{39} +(-3012.57 - 1022.10i) q^{40} +(5424.50 + 3131.83i) q^{41} +(-6741.17 + 442.198i) q^{42} +(-7439.38 - 4295.13i) q^{43} +(1997.61 + 827.189i) q^{44} -47.9441 q^{45} +(-5037.79 + 10217.0i) q^{46} +(-7786.40 + 4495.48i) q^{47} +(-15331.0 + 4111.40i) q^{48} +10871.2 q^{49} +(-14288.1 - 7045.16i) q^{50} +(-17447.3 - 30219.6i) q^{51} +(-2598.95 - 19724.9i) q^{52} +(1949.39 - 1125.48i) q^{53} +(-17914.8 + 11971.7i) q^{54} +(-1028.32 - 593.700i) q^{55} +(-13678.1 + 2723.00i) q^{56} +(17946.2 + 16518.8i) q^{57} +(-13202.2 + 26774.9i) q^{58} +(5922.01 - 10257.2i) q^{59} +(8642.41 - 1138.72i) q^{60} +(-3585.06 - 6209.50i) q^{61} +(4803.82 - 3210.18i) q^{62} +(-182.027 + 105.094i) q^{63} +(-30269.7 + 12549.4i) q^{64} +10926.3i q^{65} +(-5911.81 + 387.794i) q^{66} +(26378.3 + 45688.6i) q^{67} +(-43859.4 - 57146.2i) q^{68} -31214.6i q^{69} +(7642.84 - 501.344i) q^{70} +(23847.8 - 41305.6i) q^{71} +(-371.240 + 325.673i) q^{72} +(-18567.2 + 32159.3i) q^{73} +(14196.0 + 21243.3i) q^{74} +43652.4 q^{75} +(41185.9 + 28969.8i) q^{76} -5205.56 q^{77} +(30290.2 + 45327.3i) q^{78} +(-47435.6 + 82160.8i) q^{79} +(17381.6 - 4661.33i) q^{80} +(29189.3 - 50557.4i) q^{81} +(-35356.7 + 2319.28i) q^{82} +33741.0i q^{83} +(30316.2 - 23267.5i) q^{84} +(19780.9 + 34261.6i) q^{85} +(48489.6 - 3180.75i) q^{86} -81801.7i q^{87} +(-11995.3 + 2387.99i) q^{88} +(-16595.2 + 9581.25i) q^{89} +(225.497 - 150.690i) q^{90} +(23950.4 + 41483.4i) q^{91} +(-8417.87 - 63887.9i) q^{92} +(-7915.94 + 13710.8i) q^{93} +(22492.6 - 45616.6i) q^{94} +(-20346.6 - 18728.2i) q^{95} +(59184.6 - 67523.1i) q^{96} +(-9978.63 - 5761.16i) q^{97} +(-51130.7 + 34168.3i) q^{98} +(-159.633 + 92.1639i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.70334 + 3.14303i −0.831440 + 0.555614i
\(3\) 7.75035 13.4240i 0.497185 0.861150i −0.502809 0.864397i \(-0.667700\pi\)
0.999995 + 0.00324702i \(0.00103356\pi\)
\(4\) 12.2427 29.5654i 0.382586 0.923920i
\(5\) −8.78700 + 15.2195i −0.157187 + 0.272255i −0.933853 0.357657i \(-0.883576\pi\)
0.776666 + 0.629912i \(0.216909\pi\)
\(6\) 5.73951 + 87.4972i 0.0650874 + 0.992238i
\(7\) 77.0445i 0.594287i 0.954833 + 0.297144i \(0.0960340\pi\)
−0.954833 + 0.297144i \(0.903966\pi\)
\(8\) 35.3433 + 177.535i 0.195246 + 0.980754i
\(9\) 1.36406 + 2.36263i 0.00561343 + 0.00972275i
\(10\) −6.50720 99.2004i −0.0205776 0.313699i
\(11\) 67.5657i 0.168362i 0.996450 + 0.0841811i \(0.0268274\pi\)
−0.996450 + 0.0841811i \(0.973173\pi\)
\(12\) −302.001 393.489i −0.605418 0.788823i
\(13\) 538.434 310.865i 0.883638 0.510168i 0.0117816 0.999931i \(-0.496250\pi\)
0.871856 + 0.489762i \(0.162916\pi\)
\(14\) −242.153 362.366i −0.330194 0.494114i
\(15\) 136.205 + 235.914i 0.156302 + 0.270723i
\(16\) −724.230 723.924i −0.707256 0.706957i
\(17\) 1125.58 1949.56i 0.944612 1.63612i 0.188087 0.982152i \(-0.439771\pi\)
0.756526 0.653964i \(-0.226895\pi\)
\(18\) −13.8415 6.82494i −0.0100693 0.00496498i
\(19\) −344.019 + 1535.50i −0.218624 + 0.975809i
\(20\) 342.395 + 446.121i 0.191405 + 0.249389i
\(21\) 1034.25 + 597.122i 0.511771 + 0.295471i
\(22\) −212.361 317.784i −0.0935444 0.139983i
\(23\) 1743.96 1006.88i 0.687412 0.396877i −0.115230 0.993339i \(-0.536760\pi\)
0.802642 + 0.596461i \(0.203427\pi\)
\(24\) 2657.16 + 901.514i 0.941650 + 0.319481i
\(25\) 1408.08 + 2438.86i 0.450585 + 0.780436i
\(26\) −1555.38 + 3154.42i −0.451235 + 0.915136i
\(27\) 3808.96 1.00553
\(28\) 2277.85 + 943.236i 0.549074 + 0.227366i
\(29\) 4570.26 2638.64i 1.00913 0.582620i 0.0981919 0.995167i \(-0.468694\pi\)
0.910936 + 0.412547i \(0.135361\pi\)
\(30\) −1382.10 681.485i −0.280373 0.138246i
\(31\) −1021.36 −0.190887 −0.0954435 0.995435i \(-0.530427\pi\)
−0.0954435 + 0.995435i \(0.530427\pi\)
\(32\) 5681.61 + 1128.58i 0.980837 + 0.194831i
\(33\) 907.002 + 523.658i 0.144985 + 0.0837072i
\(34\) 833.546 + 12707.2i 0.123661 + 1.88517i
\(35\) −1172.58 676.990i −0.161798 0.0934140i
\(36\) 86.5520 11.4041i 0.0111307 0.00146658i
\(37\) 4516.66i 0.542391i −0.962524 0.271196i \(-0.912581\pi\)
0.962524 0.271196i \(-0.0874190\pi\)
\(38\) −3208.07 8303.22i −0.360400 0.932798i
\(39\) 9637.26i 1.01459i
\(40\) −3012.57 1022.10i −0.297706 0.101005i
\(41\) 5424.50 + 3131.83i 0.503964 + 0.290964i 0.730349 0.683074i \(-0.239357\pi\)
−0.226385 + 0.974038i \(0.572691\pi\)
\(42\) −6741.17 + 442.198i −0.589674 + 0.0386806i
\(43\) −7439.38 4295.13i −0.613572 0.354246i 0.160790 0.986989i \(-0.448596\pi\)
−0.774362 + 0.632743i \(0.781929\pi\)
\(44\) 1997.61 + 827.189i 0.155553 + 0.0644130i
\(45\) −47.9441 −0.00352943
\(46\) −5037.79 + 10217.0i −0.351031 + 0.711916i
\(47\) −7786.40 + 4495.48i −0.514152 + 0.296846i −0.734539 0.678567i \(-0.762601\pi\)
0.220386 + 0.975413i \(0.429268\pi\)
\(48\) −15331.0 + 4111.40i −0.960434 + 0.257565i
\(49\) 10871.2 0.646823
\(50\) −14288.1 7045.16i −0.808255 0.398534i
\(51\) −17447.3 30219.6i −0.939295 1.62691i
\(52\) −2598.95 19724.9i −0.133288 1.01159i
\(53\) 1949.39 1125.48i 0.0953257 0.0550363i −0.451579 0.892231i \(-0.649139\pi\)
0.546905 + 0.837195i \(0.315806\pi\)
\(54\) −17914.8 + 11971.7i −0.836042 + 0.558689i
\(55\) −1028.32 593.700i −0.0458375 0.0264643i
\(56\) −13678.1 + 2723.00i −0.582850 + 0.116032i
\(57\) 17946.2 + 16518.8i 0.731621 + 0.673426i
\(58\) −13202.2 + 26774.9i −0.515318 + 1.04510i
\(59\) 5922.01 10257.2i 0.221482 0.383619i −0.733776 0.679391i \(-0.762244\pi\)
0.955258 + 0.295773i \(0.0955772\pi\)
\(60\) 8642.41 1138.72i 0.309925 0.0408357i
\(61\) −3585.06 6209.50i −0.123359 0.213664i 0.797731 0.603013i \(-0.206033\pi\)
−0.921090 + 0.389349i \(0.872700\pi\)
\(62\) 4803.82 3210.18i 0.158711 0.106060i
\(63\) −182.027 + 105.094i −0.00577810 + 0.00333599i
\(64\) −30269.7 + 12549.4i −0.923758 + 0.382976i
\(65\) 10926.3i 0.320767i
\(66\) −5911.81 + 387.794i −0.167055 + 0.0109583i
\(67\) 26378.3 + 45688.6i 0.717893 + 1.24343i 0.961833 + 0.273637i \(0.0882268\pi\)
−0.243939 + 0.969790i \(0.578440\pi\)
\(68\) −43859.4 57146.2i −1.15025 1.49870i
\(69\) 31214.6i 0.789287i
\(70\) 7642.84 501.344i 0.186427 0.0122290i
\(71\) 23847.8 41305.6i 0.561439 0.972440i −0.435933 0.899979i \(-0.643581\pi\)
0.997371 0.0724610i \(-0.0230853\pi\)
\(72\) −371.240 + 325.673i −0.00843963 + 0.00740372i
\(73\) −18567.2 + 32159.3i −0.407793 + 0.706318i −0.994642 0.103378i \(-0.967035\pi\)
0.586849 + 0.809696i \(0.300368\pi\)
\(74\) 14196.0 + 21243.3i 0.301360 + 0.450966i
\(75\) 43652.4 0.896096
\(76\) 41185.9 + 28969.8i 0.817927 + 0.575322i
\(77\) −5205.56 −0.100055
\(78\) 30290.2 + 45327.3i 0.563722 + 0.843574i
\(79\) −47435.6 + 82160.8i −0.855138 + 1.48114i 0.0213786 + 0.999771i \(0.493194\pi\)
−0.876517 + 0.481371i \(0.840139\pi\)
\(80\) 17381.6 4661.33i 0.303644 0.0814300i
\(81\) 29189.3 50557.4i 0.494324 0.856193i
\(82\) −35356.7 + 2319.28i −0.580680 + 0.0380906i
\(83\) 33741.0i 0.537604i 0.963196 + 0.268802i \(0.0866277\pi\)
−0.963196 + 0.268802i \(0.913372\pi\)
\(84\) 30316.2 23267.5i 0.468788 0.359792i
\(85\) 19780.9 + 34261.6i 0.296961 + 0.514352i
\(86\) 48489.6 3180.75i 0.706973 0.0463750i
\(87\) 81801.7i 1.15868i
\(88\) −11995.3 + 2387.99i −0.165122 + 0.0328720i
\(89\) −16595.2 + 9581.25i −0.222079 + 0.128218i −0.606913 0.794769i \(-0.707592\pi\)
0.384833 + 0.922986i \(0.374259\pi\)
\(90\) 225.497 150.690i 0.00293451 0.00196100i
\(91\) 23950.4 + 41483.4i 0.303187 + 0.525134i
\(92\) −8417.87 63887.9i −0.103689 0.786953i
\(93\) −7915.94 + 13710.8i −0.0949063 + 0.164382i
\(94\) 22492.6 45616.6i 0.262555 0.532480i
\(95\) −20346.6 18728.2i −0.231304 0.212906i
\(96\) 59184.6 67523.1i 0.655437 0.747781i
\(97\) −9978.63 5761.16i −0.107682 0.0621700i 0.445192 0.895435i \(-0.353135\pi\)
−0.552874 + 0.833265i \(0.686469\pi\)
\(98\) −51130.7 + 34168.3i −0.537795 + 0.359384i
\(99\) −159.633 + 92.1639i −0.00163694 + 0.000945089i
\(100\) 89344.7 11772.1i 0.893447 0.117721i
\(101\) −69628.8 120601.i −0.679181 1.17638i −0.975228 0.221203i \(-0.929002\pi\)
0.296047 0.955174i \(-0.404332\pi\)
\(102\) 177041. + 87295.5i 1.68490 + 0.830790i
\(103\) −65055.7 −0.604216 −0.302108 0.953274i \(-0.597690\pi\)
−0.302108 + 0.953274i \(0.597690\pi\)
\(104\) 74219.6 + 84604.2i 0.672876 + 0.767023i
\(105\) −18175.8 + 10493.8i −0.160887 + 0.0928882i
\(106\) −5631.23 + 11420.5i −0.0486786 + 0.0987237i
\(107\) −76328.6 −0.644507 −0.322254 0.946653i \(-0.604440\pi\)
−0.322254 + 0.946653i \(0.604440\pi\)
\(108\) 46632.1 112614.i 0.384703 0.929033i
\(109\) −131111. 75697.2i −1.05700 0.610258i −0.132398 0.991197i \(-0.542268\pi\)
−0.924601 + 0.380938i \(0.875601\pi\)
\(110\) 6702.54 439.664i 0.0528151 0.00346449i
\(111\) −60631.6 35005.7i −0.467080 0.269669i
\(112\) 55774.4 55797.9i 0.420136 0.420313i
\(113\) 189550.i 1.39646i 0.715874 + 0.698229i \(0.246028\pi\)
−0.715874 + 0.698229i \(0.753972\pi\)
\(114\) −136326. 21287.7i −0.982465 0.153415i
\(115\) 35389.7i 0.249535i
\(116\) −22060.1 167426.i −0.152217 1.15526i
\(117\) 1468.92 + 848.080i 0.00992048 + 0.00572759i
\(118\) 4385.53 + 66856.2i 0.0289946 + 0.442015i
\(119\) 150203. + 86719.6i 0.972323 + 0.561371i
\(120\) −37069.1 + 32519.1i −0.234995 + 0.206151i
\(121\) 156486. 0.971654
\(122\) 36378.4 + 17937.4i 0.221281 + 0.109109i
\(123\) 84083.5 48545.6i 0.501127 0.289326i
\(124\) −12504.3 + 30197.1i −0.0730307 + 0.176364i
\(125\) −104410. −0.597677
\(126\) 525.824 1066.41i 0.00295063 0.00598407i
\(127\) 151316. + 262088.i 0.832485 + 1.44191i 0.896062 + 0.443930i \(0.146416\pi\)
−0.0635762 + 0.997977i \(0.520251\pi\)
\(128\) 102926. 154162.i 0.555263 0.831675i
\(129\) −115316. + 66577.5i −0.610118 + 0.352252i
\(130\) −34341.6 51390.0i −0.178223 0.266698i
\(131\) −5181.34 2991.45i −0.0263793 0.0152301i 0.486752 0.873540i \(-0.338181\pi\)
−0.513132 + 0.858310i \(0.671515\pi\)
\(132\) 26586.4 20404.9i 0.132808 0.101929i
\(133\) −118302. 26504.8i −0.579911 0.129926i
\(134\) −267667. 131981.i −1.28775 0.634964i
\(135\) −33469.3 + 57970.6i −0.158057 + 0.273762i
\(136\) 385898. + 130926.i 1.78906 + 0.606988i
\(137\) −110125. 190743.i −0.501286 0.868253i −0.999999 0.00148602i \(-0.999527\pi\)
0.498713 0.866767i \(-0.333806\pi\)
\(138\) 98108.3 + 146813.i 0.438539 + 0.656245i
\(139\) −46053.6 + 26589.1i −0.202175 + 0.116726i −0.597669 0.801743i \(-0.703906\pi\)
0.395495 + 0.918468i \(0.370573\pi\)
\(140\) −34371.1 + 26379.7i −0.148209 + 0.113749i
\(141\) 139366.i 0.590350i
\(142\) 17660.5 + 269228.i 0.0734989 + 1.12047i
\(143\) 21003.8 + 36379.7i 0.0858931 + 0.148771i
\(144\) 722.467 2698.57i 0.00290343 0.0108449i
\(145\) 92743.1i 0.366321i
\(146\) −13749.9 209614.i −0.0533849 0.813836i
\(147\) 84255.3 145934.i 0.321591 0.557012i
\(148\) −133537. 55296.3i −0.501126 0.207511i
\(149\) −131395. + 227583.i −0.484857 + 0.839797i −0.999849 0.0173980i \(-0.994462\pi\)
0.514991 + 0.857195i \(0.327795\pi\)
\(150\) −205312. + 137201.i −0.745051 + 0.497884i
\(151\) −148656. −0.530566 −0.265283 0.964171i \(-0.585465\pi\)
−0.265283 + 0.964171i \(0.585465\pi\)
\(152\) −284764. 6806.15i −0.999714 0.0238942i
\(153\) 6141.45 0.0212101
\(154\) 24483.5 16361.2i 0.0831901 0.0555922i
\(155\) 8974.73 15544.7i 0.0300049 0.0519700i
\(156\) −284930. 117986.i −0.937403 0.388169i
\(157\) 219910. 380894.i 0.712024 1.23326i −0.252072 0.967709i \(-0.581112\pi\)
0.964096 0.265554i \(-0.0855548\pi\)
\(158\) −35128.3 535521.i −0.111948 1.70661i
\(159\) 34891.6i 0.109453i
\(160\) −67100.9 + 76554.7i −0.207218 + 0.236413i
\(161\) 77574.2 + 134363.i 0.235859 + 0.408520i
\(162\) 21616.1 + 329531.i 0.0647128 + 0.986527i
\(163\) 185957.i 0.548206i −0.961700 0.274103i \(-0.911619\pi\)
0.961700 0.274103i \(-0.0883809\pi\)
\(164\) 159005. 122035.i 0.461637 0.354304i
\(165\) −15939.7 + 9202.77i −0.0455795 + 0.0263153i
\(166\) −106049. 158695.i −0.298700 0.446985i
\(167\) −210812. 365136.i −0.584929 1.01313i −0.994884 0.101022i \(-0.967789\pi\)
0.409955 0.912106i \(-0.365544\pi\)
\(168\) −69456.7 + 204719.i −0.189863 + 0.559611i
\(169\) 7627.72 13211.6i 0.0205437 0.0355827i
\(170\) −200721. 98971.7i −0.532686 0.262657i
\(171\) −4097.07 + 1281.73i −0.0107148 + 0.00335201i
\(172\) −218066. + 167364.i −0.562039 + 0.431362i
\(173\) −21745.6 12554.8i −0.0552402 0.0318929i 0.472126 0.881531i \(-0.343487\pi\)
−0.527366 + 0.849638i \(0.676820\pi\)
\(174\) 257105. + 384741.i 0.643780 + 0.963374i
\(175\) −187901. + 108485.i −0.463803 + 0.267777i
\(176\) 48912.4 48933.1i 0.119025 0.119075i
\(177\) −91795.3 158994.i −0.220235 0.381459i
\(178\) 47938.7 97223.1i 0.113406 0.229996i
\(179\) −17513.1 −0.0408535 −0.0204268 0.999791i \(-0.506502\pi\)
−0.0204268 + 0.999791i \(0.506502\pi\)
\(180\) −586.968 + 1417.49i −0.00135031 + 0.00326091i
\(181\) 72289.0 41736.1i 0.164012 0.0946924i −0.415747 0.909480i \(-0.636480\pi\)
0.579759 + 0.814788i \(0.303147\pi\)
\(182\) −243030. 119833.i −0.543854 0.268163i
\(183\) −111142. −0.245330
\(184\) 240394. + 274029.i 0.523454 + 0.596694i
\(185\) 68741.4 + 39687.9i 0.147669 + 0.0852567i
\(186\) −5862.14 89366.5i −0.0124243 0.189405i
\(187\) 131723. + 76050.5i 0.275460 + 0.159037i
\(188\) 37583.9 + 285245.i 0.0775546 + 0.588605i
\(189\) 293459.i 0.597576i
\(190\) 154560. + 24135.1i 0.310609 + 0.0485025i
\(191\) 941340.i 1.86708i −0.358472 0.933540i \(-0.616702\pi\)
0.358472 0.933540i \(-0.383298\pi\)
\(192\) −66138.1 + 503603.i −0.129479 + 0.985905i
\(193\) 554750. + 320285.i 1.07202 + 0.618933i 0.928734 0.370748i \(-0.120899\pi\)
0.143290 + 0.989681i \(0.454232\pi\)
\(194\) 65040.3 4266.42i 0.124073 0.00813878i
\(195\) 146675. + 84682.6i 0.276228 + 0.159481i
\(196\) 133093. 321410.i 0.247465 0.597613i
\(197\) 720073. 1.32194 0.660968 0.750414i \(-0.270146\pi\)
0.660968 + 0.750414i \(0.270146\pi\)
\(198\) 461.132 935.208i 0.000835915 0.00169529i
\(199\) −603659. + 348522.i −1.08058 + 0.623876i −0.931054 0.364881i \(-0.881110\pi\)
−0.149530 + 0.988757i \(0.547776\pi\)
\(200\) −383218. + 336181.i −0.677441 + 0.594290i
\(201\) 817765. 1.42770
\(202\) 706539. + 348380.i 1.21831 + 0.600724i
\(203\) 203293. + 352114.i 0.346244 + 0.599712i
\(204\) −1.10706e6 + 145866.i −1.86249 + 0.245402i
\(205\) −95330.1 + 55038.9i −0.158433 + 0.0914713i
\(206\) 305979. 204472.i 0.502369 0.335711i
\(207\) 4757.75 + 2746.89i 0.00771748 + 0.00445569i
\(208\) −614993. 164648.i −0.985626 0.263874i
\(209\) −103747. 23243.9i −0.164289 0.0368081i
\(210\) 52504.7 106483.i 0.0821580 0.166622i
\(211\) 552464. 956896.i 0.854275 1.47965i −0.0230403 0.999735i \(-0.507335\pi\)
0.877316 0.479914i \(-0.159332\pi\)
\(212\) −9409.47 71413.7i −0.0143789 0.109129i
\(213\) −369658. 640266.i −0.558278 0.966966i
\(214\) 358999. 239903.i 0.535869 0.358097i
\(215\) 130740. 75482.6i 0.192891 0.111366i
\(216\) 134621. + 676225.i 0.196326 + 0.986182i
\(217\) 78690.5i 0.113442i
\(218\) 854580. 56057.5i 1.21790 0.0798900i
\(219\) 287805. + 498493.i 0.405497 + 0.702342i
\(220\) −30142.4 + 23134.2i −0.0419877 + 0.0322253i
\(221\) 1.39961e6i 1.92765i
\(222\) 395195. 25923.4i 0.538181 0.0353028i
\(223\) −363165. + 629020.i −0.489037 + 0.847037i −0.999920 0.0126128i \(-0.995985\pi\)
0.510883 + 0.859650i \(0.329318\pi\)
\(224\) −86951.0 + 437737.i −0.115786 + 0.582899i
\(225\) −3841.41 + 6653.53i −0.00505865 + 0.00876184i
\(226\) −595762. 891518.i −0.775892 1.16107i
\(227\) 345997. 0.445665 0.222832 0.974857i \(-0.428470\pi\)
0.222832 + 0.974857i \(0.428470\pi\)
\(228\) 708096. 328354.i 0.902100 0.418316i
\(229\) 627836. 0.791148 0.395574 0.918434i \(-0.370546\pi\)
0.395574 + 0.918434i \(0.370546\pi\)
\(230\) −111231. 166450.i −0.138645 0.207474i
\(231\) −40344.9 + 69879.5i −0.0497461 + 0.0861628i
\(232\) 629981. + 718126.i 0.768436 + 0.875953i
\(233\) 656862. 1.13772e6i 0.792655 1.37292i −0.131663 0.991295i \(-0.542032\pi\)
0.924318 0.381624i \(-0.124635\pi\)
\(234\) −9574.35 + 628.044i −0.0114306 + 0.000749809i
\(235\) 158007.i 0.186641i
\(236\) −230758. 300663.i −0.269697 0.351399i
\(237\) 735285. + 1.27355e6i 0.850324 + 1.47280i
\(238\) −979016. + 64220.1i −1.12033 + 0.0734900i
\(239\) 362958.i 0.411019i 0.978655 + 0.205510i \(0.0658852\pi\)
−0.978655 + 0.205510i \(0.934115\pi\)
\(240\) 72139.9 269458.i 0.0808440 0.301969i
\(241\) −897929. + 518420.i −0.995863 + 0.574962i −0.907022 0.421084i \(-0.861650\pi\)
−0.0888413 + 0.996046i \(0.528316\pi\)
\(242\) −736006. + 491840.i −0.807872 + 0.539865i
\(243\) 10333.6 + 17898.4i 0.0112263 + 0.0194446i
\(244\) −227478. + 29972.5i −0.244604 + 0.0322291i
\(245\) −95524.9 + 165454.i −0.101672 + 0.176101i
\(246\) −242893. + 492603.i −0.255904 + 0.518991i
\(247\) 292101. + 933707.i 0.304642 + 0.973797i
\(248\) −36098.4 181328.i −0.0372699 0.187213i
\(249\) 452939. + 261504.i 0.462957 + 0.267289i
\(250\) 491075. 328163.i 0.496933 0.332078i
\(251\) 470315. 271536.i 0.471199 0.272047i −0.245543 0.969386i \(-0.578966\pi\)
0.716741 + 0.697339i \(0.245633\pi\)
\(252\) 878.623 + 6668.35i 0.000871568 + 0.00661481i
\(253\) 68030.3 + 117832.i 0.0668191 + 0.115734i
\(254\) −1.53544e6 757095.i −1.49331 0.736319i
\(255\) 613237. 0.590579
\(256\) 443.402 + 1.04858e6i 0.000422861 + 1.00000i
\(257\) −1.63112e6 + 941728.i −1.54047 + 0.889391i −0.541662 + 0.840597i \(0.682205\pi\)
−0.998809 + 0.0487946i \(0.984462\pi\)
\(258\) 333113. 675577.i 0.311561 0.631867i
\(259\) 347983. 0.322336
\(260\) 323041. + 133768.i 0.296363 + 0.122721i
\(261\) 12468.3 + 7198.56i 0.0113293 + 0.00654100i
\(262\) 33771.8 2215.31i 0.0303949 0.00199380i
\(263\) −282697. 163215.i −0.252018 0.145503i 0.368670 0.929560i \(-0.379813\pi\)
−0.620688 + 0.784058i \(0.713147\pi\)
\(264\) −60911.4 + 179533.i −0.0537885 + 0.158538i
\(265\) 39558.5i 0.0346039i
\(266\) 639717. 247164.i 0.554350 0.214181i
\(267\) 297032.i 0.254991i
\(268\) 1.67375e6 220533.i 1.42348 0.187558i
\(269\) −259798. 149994.i −0.218904 0.126385i 0.386538 0.922273i \(-0.373671\pi\)
−0.605443 + 0.795889i \(0.707004\pi\)
\(270\) −24785.7 377850.i −0.0206915 0.315435i
\(271\) −1.64828e6 951638.i −1.36336 0.787133i −0.373286 0.927716i \(-0.621769\pi\)
−0.990069 + 0.140583i \(0.955102\pi\)
\(272\) −2.22651e6 + 597097.i −1.82475 + 0.489353i
\(273\) 742497. 0.602960
\(274\) 1.11747e6 + 551000.i 0.899204 + 0.443379i
\(275\) −164783. + 95137.7i −0.131396 + 0.0758614i
\(276\) −922873. 382152.i −0.729238 0.301970i
\(277\) −1.31044e6 −1.02617 −0.513083 0.858339i \(-0.671497\pi\)
−0.513083 + 0.858339i \(0.671497\pi\)
\(278\) 133035. 269805.i 0.103242 0.209381i
\(279\) −1393.21 2413.10i −0.00107153 0.00185595i
\(280\) 78746.9 232102.i 0.0600259 0.176923i
\(281\) −1.60615e6 + 927312.i −1.21345 + 0.700584i −0.963509 0.267678i \(-0.913744\pi\)
−0.249939 + 0.968262i \(0.580410\pi\)
\(282\) −438032. 655486.i −0.328007 0.490841i
\(283\) −1.47700e6 852748.i −1.09626 0.632929i −0.161027 0.986950i \(-0.551481\pi\)
−0.935237 + 0.354021i \(0.884814\pi\)
\(284\) −929256. 1.21076e6i −0.683659 0.890766i
\(285\) −409102. + 127983.i −0.298345 + 0.0933342i
\(286\) −213130. 105090.i −0.154074 0.0759709i
\(287\) −241290. + 417927.i −0.172916 + 0.299499i
\(288\) 5083.66 + 14963.0i 0.00361157 + 0.0106301i
\(289\) −1.82393e6 3.15913e6i −1.28458 2.22497i
\(290\) −291494. 436202.i −0.203533 0.304574i
\(291\) −154676. + 89302.1i −0.107075 + 0.0618200i
\(292\) 723492. + 942666.i 0.496565 + 0.646995i
\(293\) 2.70650e6i 1.84178i 0.389819 + 0.920892i \(0.372538\pi\)
−0.389819 + 0.920892i \(0.627462\pi\)
\(294\) 62395.1 + 951195.i 0.0421000 + 0.641802i
\(295\) 104073. + 180260.i 0.0696281 + 0.120599i
\(296\) 801867. 159633.i 0.531953 0.105900i
\(297\) 257355.i 0.169294i
\(298\) −97304.6 1.48338e6i −0.0634735 0.967635i
\(299\) 626005. 1.08427e6i 0.404949 0.701392i
\(300\) 534425. 1.29060e6i 0.342834 0.827921i
\(301\) 330916. 573163.i 0.210524 0.364638i
\(302\) 699178. 467229.i 0.441134 0.294790i
\(303\) −2.15859e6 −1.35072
\(304\) 1.36073e6 863009.i 0.844479 0.535589i
\(305\) 126008. 0.0775617
\(306\) −28885.3 + 19302.7i −0.0176349 + 0.0117846i
\(307\) 540.216 935.682i 0.000327131 0.000566607i −0.865862 0.500283i \(-0.833229\pi\)
0.866189 + 0.499717i \(0.166563\pi\)
\(308\) −63730.4 + 153905.i −0.0382798 + 0.0924432i
\(309\) −504204. + 873308.i −0.300407 + 0.520321i
\(310\) 6646.23 + 101320.i 0.00392800 + 0.0598811i
\(311\) 1.87564e6i 1.09963i −0.835286 0.549816i \(-0.814698\pi\)
0.835286 0.549816i \(-0.185302\pi\)
\(312\) 1.71096e6 340612.i 0.995067 0.198095i
\(313\) −1.48391e6 2.57021e6i −0.856144 1.48288i −0.875580 0.483074i \(-0.839520\pi\)
0.0194360 0.999811i \(-0.493813\pi\)
\(314\) 162854. + 2.48266e6i 0.0932124 + 1.42099i
\(315\) 3693.83i 0.00209749i
\(316\) 1.84838e6 + 2.40833e6i 1.04129 + 1.35674i
\(317\) −1.98485e6 + 1.14595e6i −1.10938 + 0.640498i −0.938668 0.344823i \(-0.887939\pi\)
−0.170708 + 0.985322i \(0.554606\pi\)
\(318\) 109665. + 164107.i 0.0608136 + 0.0910036i
\(319\) 178282. + 308793.i 0.0980912 + 0.169899i
\(320\) 74984.4 570962.i 0.0409351 0.311697i
\(321\) −591574. + 1.02464e6i −0.320440 + 0.555018i
\(322\) −787163. 388134.i −0.423082 0.208613i
\(323\) 2.60632e6 + 2.39901e6i 1.39002 + 1.27946i
\(324\) −1.13739e6 1.48196e6i −0.601933 0.784283i
\(325\) 1.51631e6 + 875444.i 0.796307 + 0.459748i
\(326\) 584468. + 874618.i 0.304591 + 0.455800i
\(327\) −2.03232e6 + 1.17336e6i −1.05105 + 0.606823i
\(328\) −364292. + 1.07373e6i −0.186967 + 0.551075i
\(329\) −346352. 599899.i −0.176412 0.305554i
\(330\) 46045.0 93382.5i 0.0232754 0.0472042i
\(331\) 2.08577e6 1.04639 0.523197 0.852212i \(-0.324739\pi\)
0.523197 + 0.852212i \(0.324739\pi\)
\(332\) 997566. + 413082.i 0.496703 + 0.205679i
\(333\) 10671.2 6161.01i 0.00527353 0.00304468i
\(334\) 2.13915e6 + 1.05477e6i 1.04924 + 0.517360i
\(335\) −927145. −0.451373
\(336\) −316761. 1.18117e6i −0.153068 0.570773i
\(337\) 1.33681e6 + 771807.i 0.641202 + 0.370198i 0.785077 0.619398i \(-0.212623\pi\)
−0.143876 + 0.989596i \(0.545957\pi\)
\(338\) 5648.70 + 86112.7i 0.00268941 + 0.0409992i
\(339\) 2.54452e6 + 1.46908e6i 1.20256 + 0.694299i
\(340\) 1.25513e6 165376.i 0.588833 0.0775846i
\(341\) 69009.2i 0.0321382i
\(342\) 15241.4 18905.6i 0.00704628 0.00874028i
\(343\) 2.13245e6i 0.978686i
\(344\) 499606. 1.47256e6i 0.227631 0.670929i
\(345\) 475071. + 274283.i 0.214888 + 0.124065i
\(346\) 141737. 9297.44i 0.0636491 0.00417516i
\(347\) 3.09129e6 + 1.78476e6i 1.37821 + 0.795711i 0.991944 0.126676i \(-0.0404309\pi\)
0.386267 + 0.922387i \(0.373764\pi\)
\(348\) −2.41850e6 1.00148e6i −1.07053 0.443295i
\(349\) −611182. −0.268601 −0.134300 0.990941i \(-0.542879\pi\)
−0.134300 + 0.990941i \(0.542879\pi\)
\(350\) 542790. 1.10082e6i 0.236844 0.480336i
\(351\) 2.05087e6 1.18407e6i 0.888528 0.512992i
\(352\) −76253.4 + 383882.i −0.0328022 + 0.165136i
\(353\) 2.42704e6 1.03667 0.518335 0.855178i \(-0.326552\pi\)
0.518335 + 0.855178i \(0.326552\pi\)
\(354\) 931467. + 459288.i 0.395057 + 0.194794i
\(355\) 419101. + 725905.i 0.176501 + 0.305709i
\(356\) 80103.0 + 607946.i 0.0334984 + 0.254238i
\(357\) 2.32825e6 1.34422e6i 0.966849 0.558211i
\(358\) 82369.8 55044.1i 0.0339673 0.0226988i
\(359\) −2.52906e6 1.46016e6i −1.03567 0.597947i −0.117070 0.993124i \(-0.537350\pi\)
−0.918605 + 0.395176i \(0.870683\pi\)
\(360\) −1694.50 8511.79i −0.000689106 0.00346150i
\(361\) −2.23940e6 1.05648e6i −0.904407 0.426671i
\(362\) −208822. + 423505.i −0.0837538 + 0.169859i
\(363\) 1.21282e6 2.10067e6i 0.483092 0.836740i
\(364\) 1.51969e6 200235.i 0.601177 0.0792111i
\(365\) −326300. 565169.i −0.128199 0.222048i
\(366\) 522737. 349322.i 0.203977 0.136309i
\(367\) −3.54145e6 + 2.04466e6i −1.37251 + 0.792420i −0.991244 0.132044i \(-0.957846\pi\)
−0.381268 + 0.924464i \(0.624513\pi\)
\(368\) −1.99193e6 533285.i −0.766752 0.205277i
\(369\) 17088.1i 0.00653322i
\(370\) −448054. + 29390.8i −0.170148 + 0.0111611i
\(371\) 86712.2 + 150190.i 0.0327074 + 0.0566508i
\(372\) 308453. + 401896.i 0.115566 + 0.150576i
\(373\) 540870.i 0.201290i −0.994922 0.100645i \(-0.967909\pi\)
0.994922 0.100645i \(-0.0320906\pi\)
\(374\) −858568. + 56319.1i −0.317392 + 0.0208198i
\(375\) −809214. + 1.40160e6i −0.297156 + 0.514690i
\(376\) −1.07330e6 1.22348e6i −0.391519 0.446299i
\(377\) 1.64052e6 2.84147e6i 0.594469 1.02965i
\(378\) −922351. 1.38024e6i −0.332022 0.496849i
\(379\) 1.40440e6 0.502220 0.251110 0.967959i \(-0.419204\pi\)
0.251110 + 0.967959i \(0.419204\pi\)
\(380\) −802807. + 372273.i −0.285202 + 0.132252i
\(381\) 4.69102e6 1.65560
\(382\) 2.95866e6 + 4.42744e6i 1.03738 + 1.55237i
\(383\) −177690. + 307769.i −0.0618966 + 0.107208i −0.895313 0.445437i \(-0.853048\pi\)
0.833417 + 0.552645i \(0.186382\pi\)
\(384\) −1.27177e6 2.57649e6i −0.440129 0.891661i
\(385\) 45741.3 79226.2i 0.0157274 0.0272406i
\(386\) −3.61584e6 + 237187.i −1.23521 + 0.0810256i
\(387\) 23435.3i 0.00795415i
\(388\) −292497. + 224490.i −0.0986375 + 0.0757038i
\(389\) 929284. + 1.60957e6i 0.311368 + 0.539306i 0.978659 0.205492i \(-0.0658794\pi\)
−0.667291 + 0.744798i \(0.732546\pi\)
\(390\) −956020. + 62711.6i −0.318277 + 0.0208779i
\(391\) 4.53327e6i 1.49958i
\(392\) 384222. + 1.93002e6i 0.126289 + 0.634374i
\(393\) −80314.4 + 46369.6i −0.0262308 + 0.0151444i
\(394\) −3.38674e6 + 2.26321e6i −1.09911 + 0.734487i
\(395\) −833633. 1.44389e6i −0.268833 0.465632i
\(396\) 770.526 + 5847.95i 0.000246916 + 0.00187398i
\(397\) 1.80443e6 3.12536e6i 0.574597 0.995232i −0.421488 0.906834i \(-0.638492\pi\)
0.996085 0.0883977i \(-0.0281746\pi\)
\(398\) 1.74379e6 3.53653e6i 0.551807 1.11910i
\(399\) −1.27268e6 + 1.38266e6i −0.400209 + 0.434793i
\(400\) 745778. 2.78564e6i 0.233056 0.870512i
\(401\) 1.00781e6 + 581861.i 0.312981 + 0.180700i 0.648260 0.761419i \(-0.275497\pi\)
−0.335278 + 0.942119i \(0.608830\pi\)
\(402\) −3.84622e6 + 2.57026e6i −1.18705 + 0.793253i
\(403\) −549938. + 317507.i −0.168675 + 0.0973846i
\(404\) −4.41806e6 + 582124.i −1.34672 + 0.177444i
\(405\) 512973. + 888496.i 0.155402 + 0.269164i
\(406\) −2.06286e6 1.01715e6i −0.621089 0.306247i
\(407\) 305171. 0.0913181
\(408\) 4.74840e6 4.16557e6i 1.41220 1.23886i
\(409\) −1.85106e6 + 1.06871e6i −0.547156 + 0.315901i −0.747974 0.663728i \(-0.768973\pi\)
0.200818 + 0.979629i \(0.435640\pi\)
\(410\) 275381. 558492.i 0.0809048 0.164081i
\(411\) −3.41404e6 −0.996929
\(412\) −796460. + 1.92340e6i −0.231164 + 0.558247i
\(413\) 790262. + 456258.i 0.227980 + 0.131624i
\(414\) −31010.8 + 2034.20i −0.00889227 + 0.000583302i
\(415\) −513522. 296482.i −0.146365 0.0845041i
\(416\) 3.41001e6 1.15855e6i 0.966101 0.328232i
\(417\) 824299.i 0.232137i
\(418\) 561013. 216756.i 0.157048 0.0606777i
\(419\) 7.03090e6i 1.95648i −0.207469 0.978242i \(-0.566523\pi\)
0.207469 0.978242i \(-0.433477\pi\)
\(420\) 87732.4 + 665850.i 0.0242682 + 0.184184i
\(421\) −5.81387e6 3.35664e6i −1.59867 0.922995i −0.991743 0.128240i \(-0.959067\pi\)
−0.606931 0.794755i \(-0.707600\pi\)
\(422\) 409127. + 6.23701e6i 0.111835 + 1.70489i
\(423\) −21242.3 12264.2i −0.00577232 0.00333265i
\(424\) 268711. + 306308.i 0.0725890 + 0.0827454i
\(425\) 6.33961e6 1.70251
\(426\) 3.75100e6 + 1.84954e6i 1.00144 + 0.493787i
\(427\) 478408. 276209.i 0.126978 0.0733108i
\(428\) −934472. + 2.25669e6i −0.246579 + 0.595473i
\(429\) 651148. 0.170819
\(430\) −377669. + 765939.i −0.0985009 + 0.199767i
\(431\) 206908. + 358375.i 0.0536518 + 0.0929277i 0.891604 0.452816i \(-0.149581\pi\)
−0.837952 + 0.545744i \(0.816247\pi\)
\(432\) −2.75856e6 2.75740e6i −0.711171 0.710870i
\(433\) −3.36244e6 + 1.94131e6i −0.861857 + 0.497593i −0.864634 0.502403i \(-0.832449\pi\)
0.00277682 + 0.999996i \(0.499116\pi\)
\(434\) 247326. + 370108.i 0.0630298 + 0.0943200i
\(435\) 1.24498e6 + 718792.i 0.315457 + 0.182129i
\(436\) −3.84319e6 + 2.94963e6i −0.968223 + 0.743106i
\(437\) 946099. + 3.02423e6i 0.236992 + 0.757550i
\(438\) −2.92042e6 1.44000e6i −0.727378 0.358655i
\(439\) 1.71768e6 2.97510e6i 0.425383 0.736785i −0.571073 0.820899i \(-0.693473\pi\)
0.996456 + 0.0841143i \(0.0268061\pi\)
\(440\) 69058.7 203546.i 0.0170054 0.0501224i
\(441\) 14828.9 + 25684.5i 0.00363090 + 0.00628890i
\(442\) 4.39902e6 + 6.58285e6i 1.07103 + 1.60272i
\(443\) −2.23712e6 + 1.29160e6i −0.541603 + 0.312694i −0.745728 0.666250i \(-0.767898\pi\)
0.204126 + 0.978945i \(0.434565\pi\)
\(444\) −1.77726e6 + 1.36403e6i −0.427851 + 0.328373i
\(445\) 336762.i 0.0806164i
\(446\) −268941. 4.09993e6i −0.0640207 0.975977i
\(447\) 2.03672e6 + 3.52770e6i 0.482128 + 0.835070i
\(448\) −966860. 2.33211e6i −0.227598 0.548978i
\(449\) 4.76530e6i 1.11551i 0.830005 + 0.557756i \(0.188337\pi\)
−0.830005 + 0.557756i \(0.811663\pi\)
\(450\) −2844.75 43367.4i −0.000662237 0.0100956i
\(451\) −211604. + 366510.i −0.0489873 + 0.0848485i
\(452\) 5.60413e6 + 2.32061e6i 1.29022 + 0.534265i
\(453\) −1.15213e6 + 1.99556e6i −0.263790 + 0.456897i
\(454\) −1.62734e6 + 1.08748e6i −0.370543 + 0.247618i
\(455\) −841810. −0.190628
\(456\) −2.29839e6 + 3.76992e6i −0.517620 + 0.849025i
\(457\) 4.88977e6 1.09521 0.547606 0.836736i \(-0.315539\pi\)
0.547606 + 0.836736i \(0.315539\pi\)
\(458\) −2.95292e6 + 1.97331e6i −0.657792 + 0.439573i
\(459\) 4.28728e6 7.42579e6i 0.949840 1.64517i
\(460\) 1.04631e6 + 433267.i 0.230551 + 0.0954687i
\(461\) −589922. + 1.02178e6i −0.129283 + 0.223925i −0.923399 0.383841i \(-0.874601\pi\)
0.794116 + 0.607767i \(0.207934\pi\)
\(462\) −29877.4 455472.i −0.00651235 0.0992788i
\(463\) 4.05981e6i 0.880142i 0.897963 + 0.440071i \(0.145047\pi\)
−0.897963 + 0.440071i \(0.854953\pi\)
\(464\) −5.22010e6 1.39754e6i −1.12560 0.301349i
\(465\) −139115. 240954.i −0.0298360 0.0516775i
\(466\) 486438. + 7.41560e6i 0.103768 + 1.58191i
\(467\) 3.32385e6i 0.705260i −0.935763 0.352630i \(-0.885287\pi\)
0.935763 0.352630i \(-0.114713\pi\)
\(468\) 43057.4 33046.4i 0.00908727 0.00697443i
\(469\) −3.52005e6 + 2.03230e6i −0.738953 + 0.426635i
\(470\) 496621. + 743161.i 0.103700 + 0.155181i
\(471\) −3.40875e6 5.90413e6i −0.708016 1.22632i
\(472\) 2.03032e6 + 688843.i 0.419479 + 0.142320i
\(473\) 290203. 502647.i 0.0596416 0.103302i
\(474\) −7.46110e6 3.67891e6i −1.52531 0.752097i
\(475\) −4.22927e6 + 1.32308e6i −0.860065 + 0.269062i
\(476\) 4.40280e6 3.37912e6i 0.890659 0.683576i
\(477\) 5318.19 + 3070.46i 0.00107021 + 0.000617885i
\(478\) −1.14079e6 1.70712e6i −0.228368 0.341738i
\(479\) 335084. 193461.i 0.0667291 0.0385261i −0.466264 0.884645i \(-0.654400\pi\)
0.532993 + 0.846119i \(0.321067\pi\)
\(480\) 507615. + 1.49409e6i 0.100561 + 0.295987i
\(481\) −1.40407e6 2.43192e6i −0.276711 0.479277i
\(482\) 2.59386e6 5.26052e6i 0.508544 1.03136i
\(483\) 2.40491e6 0.469063
\(484\) 1.91582e6 4.62657e6i 0.371741 0.897731i
\(485\) 175364. 101247.i 0.0338522 0.0195446i
\(486\) −104858. 51703.2i −0.0201377 0.00992949i
\(487\) −4.62343e6 −0.883369 −0.441684 0.897171i \(-0.645619\pi\)
−0.441684 + 0.897171i \(0.645619\pi\)
\(488\) 975699. 855939.i 0.185467 0.162702i
\(489\) −2.49629e6 1.44123e6i −0.472088 0.272560i
\(490\) −70740.8 1.07842e6i −0.0133101 0.202908i
\(491\) 7.26837e6 + 4.19640e6i 1.36061 + 0.785548i 0.989705 0.143123i \(-0.0457145\pi\)
0.370904 + 0.928671i \(0.379048\pi\)
\(492\) −405860. 3.08030e6i −0.0755899 0.573693i
\(493\) 1.18800e7i 2.20140i
\(494\) −4.30852e6 3.47346e6i −0.794347 0.640390i
\(495\) 3239.38i 0.000594222i
\(496\) 739703. + 739391.i 0.135006 + 0.134949i
\(497\) 3.18237e6 + 1.83734e6i 0.577909 + 0.333656i
\(498\) −2.95224e6 + 193657.i −0.533431 + 0.0349912i
\(499\) 1.57567e6 + 909712.i 0.283278 + 0.163551i 0.634907 0.772589i \(-0.281039\pi\)
−0.351628 + 0.936140i \(0.614372\pi\)
\(500\) −1.27826e6 + 3.08692e6i −0.228663 + 0.552206i
\(501\) −6.53546e6 −1.16327
\(502\) −1.35860e6 + 2.75534e6i −0.240621 + 0.487995i
\(503\) −6.31427e6 + 3.64555e6i −1.11276 + 0.642455i −0.939544 0.342428i \(-0.888751\pi\)
−0.173220 + 0.984883i \(0.555417\pi\)
\(504\) −25091.3 28602.0i −0.00439994 0.00501556i
\(505\) 2.44732e6 0.427033
\(506\) −690318. 340382.i −0.119860 0.0591004i
\(507\) −118235. 204789.i −0.0204280 0.0353824i
\(508\) 9.60126e6 1.26506e6i 1.65070 0.217497i
\(509\) 6.32806e6 3.65351e6i 1.08262 0.625051i 0.151018 0.988531i \(-0.451745\pi\)
0.931602 + 0.363480i \(0.118411\pi\)
\(510\) −2.88426e6 + 1.92742e6i −0.491031 + 0.328134i
\(511\) −2.47770e6 1.43050e6i −0.419756 0.242346i
\(512\) −3.29779e6 4.93041e6i −0.555966 0.831205i
\(513\) −1.31036e6 + 5.84864e6i −0.219834 + 0.981210i
\(514\) 4.71183e6 9.55592e6i 0.786651 1.59538i
\(515\) 571645. 990117.i 0.0949747 0.164501i
\(516\) 556614. + 4.22445e6i 0.0920301 + 0.698467i
\(517\) −303740. 526093.i −0.0499776 0.0865638i
\(518\) −1.63668e6 + 1.09372e6i −0.268003 + 0.179095i
\(519\) −337071. + 194608.i −0.0549292 + 0.0317134i
\(520\) −1.93980e6 + 386171.i −0.314593 + 0.0626284i
\(521\) 3.02807e6i 0.488734i 0.969683 + 0.244367i \(0.0785801\pi\)
−0.969683 + 0.244367i \(0.921420\pi\)
\(522\) −81267.7 + 5330.88i −0.0130539 + 0.000856294i
\(523\) 6.00291e6 + 1.03973e7i 0.959638 + 1.66214i 0.723378 + 0.690452i \(0.242588\pi\)
0.236260 + 0.971690i \(0.424078\pi\)
\(524\) −151877. + 116565.i −0.0241638 + 0.0185456i
\(525\) 3.36317e6i 0.532539i
\(526\) 1.84261e6 120869.i 0.290381 0.0190480i
\(527\) −1.14963e6 + 1.99121e6i −0.180314 + 0.312314i
\(528\) −277790. 1.03585e6i −0.0433642 0.161701i
\(529\) −1.19057e6 + 2.06213e6i −0.184977 + 0.320389i
\(530\) −124333. 186057.i −0.0192264 0.0287711i
\(531\) 32312.0 0.00497310
\(532\) −2.23196e6 + 3.17314e6i −0.341907 + 0.486083i
\(533\) 3.89431e6 0.593762
\(534\) −933581. 1.39704e6i −0.141677 0.212010i
\(535\) 670700. 1.16169e6i 0.101308 0.175471i
\(536\) −7.17905e6 + 6.29787e6i −1.07933 + 0.946851i
\(537\) −135732. + 235095.i −0.0203118 + 0.0351810i
\(538\) 1.69335e6 111078.i 0.252227 0.0165452i
\(539\) 734517.i 0.108900i
\(540\) 1.30417e6 + 1.69926e6i 0.192464 + 0.250769i
\(541\) −2.01566e6 3.49123e6i −0.296091 0.512845i 0.679147 0.734002i \(-0.262350\pi\)
−0.975238 + 0.221158i \(0.929016\pi\)
\(542\) 1.07435e7 704734.i 1.57089 0.103045i
\(543\) 1.29388e6i 0.188319i
\(544\) 8.59534e6 9.80634e6i 1.24528 1.42072i
\(545\) 2.30415e6 1.33030e6i 0.332292 0.191849i
\(546\) −3.49221e6 + 2.33369e6i −0.501325 + 0.335013i
\(547\) 1.95436e6 + 3.38506e6i 0.279278 + 0.483724i 0.971206 0.238243i \(-0.0765715\pi\)
−0.691927 + 0.721967i \(0.743238\pi\)
\(548\) −6.98763e6 + 920690.i −0.993982 + 0.130967i
\(549\) 9780.50 16940.3i 0.00138494 0.00239878i
\(550\) 476011. 965383.i 0.0670981 0.136080i
\(551\) 2.47937e6 + 7.92537e6i 0.347906 + 1.11209i
\(552\) 5.54170e6 1.10323e6i 0.774096 0.154105i
\(553\) −6.33003e6 3.65465e6i −0.880224 0.508198i
\(554\) 6.16343e6 4.11875e6i 0.853195 0.570152i
\(555\) 1.06554e6 615190.i 0.146838 0.0847768i
\(556\) 222295. + 1.68712e6i 0.0304960 + 0.231451i
\(557\) −572838. 992185.i −0.0782337 0.135505i 0.824254 0.566220i \(-0.191595\pi\)
−0.902488 + 0.430715i \(0.858261\pi\)
\(558\) 14137.2 + 6970.75i 0.00192211 + 0.000947751i
\(559\) −5.34082e6 −0.722901
\(560\) 359129. + 1.33916e6i 0.0483928 + 0.180452i
\(561\) 2.04180e6 1.17884e6i 0.273909 0.158142i
\(562\) 4.63970e6 9.40964e6i 0.619654 1.25670i
\(563\) 1.51588e6 0.201555 0.100777 0.994909i \(-0.467867\pi\)
0.100777 + 0.994909i \(0.467867\pi\)
\(564\) 4.12042e6 + 1.70622e6i 0.545436 + 0.225860i
\(565\) −2.88487e6 1.66558e6i −0.380193 0.219505i
\(566\) 9.62706e6 631502.i 1.26314 0.0828578i
\(567\) 3.89517e6 + 2.24887e6i 0.508825 + 0.293770i
\(568\) 8.17607e6 + 2.77396e6i 1.06334 + 0.360769i
\(569\) 2.49528e6i 0.323101i −0.986864 0.161551i \(-0.948350\pi\)
0.986864 0.161551i \(-0.0516495\pi\)
\(570\) 1.52189e6 1.88777e6i 0.196198 0.243367i
\(571\) 9.84454e6i 1.26359i 0.775137 + 0.631793i \(0.217681\pi\)
−0.775137 + 0.631793i \(0.782319\pi\)
\(572\) 1.33273e6 175600.i 0.170314 0.0224406i
\(573\) −1.26366e7 7.29572e6i −1.60784 0.928285i
\(574\) −178687. 2.72404e6i −0.0226367 0.345091i
\(575\) 4.91126e6 + 2.83552e6i 0.619475 + 0.357654i
\(576\) −70939.3 54397.9i −0.00890904 0.00683166i
\(577\) −6.44138e6 −0.805452 −0.402726 0.915321i \(-0.631937\pi\)
−0.402726 + 0.915321i \(0.631937\pi\)
\(578\) 1.85078e7 + 9.12582e6i 2.30428 + 1.13619i
\(579\) 8.59902e6 4.96465e6i 1.06599 0.615449i
\(580\) 2.74199e6 + 1.13543e6i 0.338451 + 0.140149i
\(581\) −2.59955e6 −0.319491
\(582\) 446813. 906168.i 0.0546787 0.110892i
\(583\) 76044.0 + 131712.i 0.00926603 + 0.0160492i
\(584\) −6.36565e6 2.15972e6i −0.772344 0.262039i
\(585\) −25814.8 + 14904.2i −0.00311874 + 0.00180060i
\(586\) −8.50660e6 1.27296e7i −1.02332 1.53133i
\(587\) −1.01036e7 5.83331e6i −1.21026 0.698746i −0.247447 0.968901i \(-0.579592\pi\)
−0.962817 + 0.270155i \(0.912925\pi\)
\(588\) −3.28310e6 4.27768e6i −0.391598 0.510229i
\(589\) 351369. 1.56830e6i 0.0417326 0.186269i
\(590\) −1.05606e6 520720.i −0.124898 0.0615849i
\(591\) 5.58082e6 9.66626e6i 0.657248 1.13839i
\(592\) −3.26972e6 + 3.27110e6i −0.383447 + 0.383610i
\(593\) 3.02925e6 + 5.24682e6i 0.353752 + 0.612717i 0.986904 0.161311i \(-0.0515723\pi\)
−0.633151 + 0.774028i \(0.718239\pi\)
\(594\) −808874. 1.21043e6i −0.0940621 0.140758i
\(595\) −2.63966e6 + 1.52401e6i −0.305672 + 0.176480i
\(596\) 5.11996e6 + 6.67100e6i 0.590406 + 0.769264i
\(597\) 1.08047e7i 1.24073i
\(598\) 463587. + 7.06725e6i 0.0530125 + 0.808161i
\(599\) 216618. + 375193.i 0.0246676 + 0.0427256i 0.878096 0.478485i \(-0.158814\pi\)
−0.853428 + 0.521211i \(0.825481\pi\)
\(600\) 1.54282e6 + 7.74985e6i 0.174959 + 0.878850i
\(601\) 6.99772e6i 0.790261i 0.918625 + 0.395130i \(0.129301\pi\)
−0.918625 + 0.395130i \(0.870699\pi\)
\(602\) 245059. + 3.73586e6i 0.0275601 + 0.420145i
\(603\) −71963.4 + 124644.i −0.00805969 + 0.0139598i
\(604\) −1.81995e6 + 4.39507e6i −0.202987 + 0.490201i
\(605\) −1.37504e6 + 2.38164e6i −0.152731 + 0.264538i
\(606\) 1.01526e7 6.78452e6i 1.12304 0.750477i
\(607\) −3.77598e6 −0.415966 −0.207983 0.978132i \(-0.566690\pi\)
−0.207983 + 0.978132i \(0.566690\pi\)
\(608\) −3.68752e6 + 8.33584e6i −0.404553 + 0.914515i
\(609\) 6.30237e6 0.688589
\(610\) −592656. + 396046.i −0.0644879 + 0.0430944i
\(611\) −2.79497e6 + 4.84104e6i −0.302883 + 0.524609i
\(612\) 75188.2 181575.i 0.00811467 0.0195964i
\(613\) −5.94393e6 + 1.02952e7i −0.638885 + 1.10658i 0.346793 + 0.937942i \(0.387271\pi\)
−0.985678 + 0.168639i \(0.946063\pi\)
\(614\) 400.056 + 6098.74i 4.28253e−5 + 0.000652859i
\(615\) 1.70628e6i 0.181913i
\(616\) −183982. 924172.i −0.0195354 0.0981298i
\(617\) 5.27200e6 + 9.13138e6i 0.557523 + 0.965658i 0.997702 + 0.0677481i \(0.0215814\pi\)
−0.440180 + 0.897910i \(0.645085\pi\)
\(618\) −373388. 5.69219e6i −0.0393268 0.599526i
\(619\) 1.46850e7i 1.54044i −0.637776 0.770222i \(-0.720145\pi\)
0.637776 0.770222i \(-0.279855\pi\)
\(620\) −349710. 455652.i −0.0365367 0.0476051i
\(621\) 6.64268e6 3.83515e6i 0.691216 0.399074i
\(622\) 5.89518e6 + 8.82175e6i 0.610972 + 0.914279i
\(623\) −738183. 1.27857e6i −0.0761980 0.131979i
\(624\) −6.97664e6 + 6.97959e6i −0.717274 + 0.717577i
\(625\) −3.48279e6 + 6.03237e6i −0.356638 + 0.617715i
\(626\) 1.50576e7 + 7.42458e6i 1.53574 + 0.757244i
\(627\) −1.11610e6 + 1.21255e6i −0.113380 + 0.123177i
\(628\) −8.56902e6 1.11649e7i −0.867025 1.12968i
\(629\) −8.80549e6 5.08385e6i −0.887415 0.512349i
\(630\) 11609.8 + 17373.3i 0.00116540 + 0.00174394i
\(631\) 6.06636e6 3.50242e6i 0.606534 0.350183i −0.165074 0.986281i \(-0.552786\pi\)
0.771608 + 0.636099i \(0.219453\pi\)
\(632\) −1.62630e7 5.51766e6i −1.61960 0.549493i
\(633\) −8.56358e6 1.48326e7i −0.849466 1.47132i
\(634\) 5.73364e6 1.16282e7i 0.566510 1.14892i
\(635\) −5.31847e6 −0.523423
\(636\) −1.03158e6 427168.i −0.101126 0.0418751i
\(637\) 5.85340e6 3.37946e6i 0.571557 0.329989i
\(638\) −1.80906e6 892013.i −0.175955 0.0867600i
\(639\) 130120. 0.0126064
\(640\) 1.44187e6 + 2.92111e6i 0.139148 + 0.281901i
\(641\) −7.59725e6 4.38627e6i −0.730317 0.421648i 0.0882214 0.996101i \(-0.471882\pi\)
−0.818538 + 0.574452i \(0.805215\pi\)
\(642\) −438089. 6.67854e6i −0.0419493 0.639505i
\(643\) −1.26575e7 7.30783e6i −1.20732 0.697045i −0.245145 0.969486i \(-0.578836\pi\)
−0.962172 + 0.272441i \(0.912169\pi\)
\(644\) 4.92221e6 648550.i 0.467676 0.0616210i
\(645\) 2.34007e6i 0.221477i
\(646\) −1.97986e7 3.09160e6i −1.86660 0.291476i
\(647\) 1.55671e7i 1.46200i 0.682378 + 0.730999i \(0.260946\pi\)
−0.682378 + 0.730999i \(0.739054\pi\)
\(648\) 1.00074e7 + 3.39528e6i 0.936230 + 0.317642i
\(649\) 693036. + 400124.i 0.0645868 + 0.0372892i
\(650\) −9.88328e6 + 648309.i −0.917524 + 0.0601864i
\(651\) −1.05634e6 609879.i −0.0976904 0.0564016i
\(652\) −5.49790e6 2.27662e6i −0.506498 0.209736i
\(653\) −3.21129e6 −0.294711 −0.147356 0.989084i \(-0.547076\pi\)
−0.147356 + 0.989084i \(0.547076\pi\)
\(654\) 5.87078e6 1.19064e7i 0.536725 1.08851i
\(655\) 91056.9 52571.7i 0.00829296 0.00478795i
\(656\) −1.66137e6 6.19509e6i −0.150733 0.562067i
\(657\) −101307. −0.00915647
\(658\) 3.51451e6 + 1.73293e6i 0.316446 + 0.156033i
\(659\) 3.71539e6 + 6.43525e6i 0.333266 + 0.577234i 0.983150 0.182800i \(-0.0585160\pi\)
−0.649884 + 0.760033i \(0.725183\pi\)
\(660\) 76938.7 + 583930.i 0.00687519 + 0.0521796i
\(661\) 7.18895e6 4.15054e6i 0.639974 0.369489i −0.144631 0.989486i \(-0.546199\pi\)
0.784604 + 0.619997i \(0.212866\pi\)
\(662\) −9.81006e6 + 6.55562e6i −0.870015 + 0.581392i
\(663\) −1.87884e7 1.08475e7i −1.65999 0.958397i
\(664\) −5.99022e6 + 1.19252e6i −0.527257 + 0.104965i
\(665\) 1.44291e6 1.56760e6i 0.126527 0.137461i
\(666\) −30825.9 + 62517.1i −0.00269296 + 0.00546152i
\(667\) 5.31357e6 9.20338e6i 0.462458 0.801001i
\(668\) −1.33763e7 + 1.76247e6i −1.15983 + 0.152820i
\(669\) 5.62931e6 + 9.75026e6i 0.486284 + 0.842269i
\(670\) 4.36068e6 2.91404e6i 0.375290 0.250789i
\(671\) 419549. 242227.i 0.0359730 0.0207690i
\(672\) 5.20228e6 + 4.55985e6i 0.444396 + 0.389517i
\(673\) 2.52088e6i 0.214543i −0.994230 0.107272i \(-0.965789\pi\)
0.994230 0.107272i \(-0.0342114\pi\)
\(674\) −8.71327e6 + 571561.i −0.738808 + 0.0484632i
\(675\) 5.36331e6 + 9.28952e6i 0.453078 + 0.784755i
\(676\) −297222. 387263.i −0.0250158 0.0325941i
\(677\) 1.25333e7i 1.05098i 0.850801 + 0.525488i \(0.176117\pi\)
−0.850801 + 0.525488i \(0.823883\pi\)
\(678\) −1.65851e7 + 1.08793e6i −1.38562 + 0.0908919i
\(679\) 443866. 768798.i 0.0369468 0.0639938i
\(680\) −5.38352e6 + 4.72273e6i −0.446472 + 0.391671i
\(681\) 2.68160e6 4.64467e6i 0.221578 0.383784i
\(682\) 216898. + 324573.i 0.0178564 + 0.0267210i
\(683\) 908242. 0.0744989 0.0372494 0.999306i \(-0.488140\pi\)
0.0372494 + 0.999306i \(0.488140\pi\)
\(684\) −12264.6 + 136824.i −0.00100234 + 0.0111820i
\(685\) 3.87069e6 0.315182
\(686\) −6.70235e6 1.00296e7i −0.543772 0.813719i
\(687\) 4.86595e6 8.42807e6i 0.393347 0.681297i
\(688\) 2.27848e6 + 8.49621e6i 0.183516 + 0.684312i
\(689\) 699747. 1.21200e6i 0.0561556 0.0972643i
\(690\) −3.09650e6 + 203120.i −0.247599 + 0.0162416i
\(691\) 6.35971e6i 0.506690i 0.967376 + 0.253345i \(0.0815308\pi\)
−0.967376 + 0.253345i \(0.918469\pi\)
\(692\) −637413. + 489212.i −0.0506006 + 0.0388357i
\(693\) −7100.72 12298.8i −0.000561654 0.000972814i
\(694\) −2.01489e7 + 1.32170e6i −1.58801 + 0.104168i
\(695\) 934553.i 0.0733908i
\(696\) 1.45227e7 2.89114e6i 1.13638 0.226228i
\(697\) 1.22114e7 7.05025e6i 0.952102 0.549696i
\(698\) 2.87460e6 1.92096e6i 0.223325 0.149238i
\(699\) −1.01818e7 1.76354e7i −0.788193 1.36519i
\(700\) 906972. + 6.88352e6i 0.0699599 + 0.530964i
\(701\) −2.08770e6 + 3.61600e6i −0.160462 + 0.277928i −0.935034 0.354557i \(-0.884632\pi\)
0.774572 + 0.632485i \(0.217965\pi\)
\(702\) −5.92438e6 + 1.20150e7i −0.453732 + 0.920201i
\(703\) 6.93531e6 + 1.55382e6i 0.529270 + 0.118580i
\(704\) −847907. 2.04519e6i −0.0644787 0.155526i
\(705\) −2.12109e6 1.22461e6i −0.160726 0.0927952i
\(706\) −1.14152e7 + 7.62826e6i −0.861929 + 0.575989i
\(707\) 9.29161e6 5.36452e6i 0.699105 0.403629i
\(708\) −5.82456e6 + 767444.i −0.436697 + 0.0575392i
\(709\) −927540. 1.60655e6i −0.0692974 0.120027i 0.829295 0.558811i \(-0.188742\pi\)
−0.898592 + 0.438785i \(0.855409\pi\)
\(710\) −4.25271e6 2.09693e6i −0.316607 0.156112i
\(711\) −258821. −0.0192010
\(712\) −2.28754e6 2.60761e6i −0.169110 0.192771i
\(713\) −1.78122e6 + 1.02839e6i −0.131218 + 0.0757588i
\(714\) −6.72563e6 + 1.36400e7i −0.493728 + 1.00131i
\(715\) −738242. −0.0540050
\(716\) −214408. + 517781.i −0.0156300 + 0.0377454i
\(717\) 4.87236e6 + 2.81306e6i 0.353949 + 0.204353i
\(718\) 1.64843e7 1.08132e6i 1.19333 0.0782783i
\(719\) 1.21955e7 + 7.04107e6i 0.879786 + 0.507944i 0.870588 0.492013i \(-0.163739\pi\)
0.00919783 + 0.999958i \(0.497072\pi\)
\(720\) 34722.6 + 34707.9i 0.00249621 + 0.00249515i
\(721\) 5.01218e6i 0.359078i
\(722\) 1.38532e7 2.06952e6i 0.989025 0.147749i
\(723\) 1.60717e7i 1.14345i
\(724\) −348930. 2.64822e6i −0.0247395 0.187762i
\(725\) 1.28706e7 + 7.43083e6i 0.909395 + 0.525040i
\(726\) 898153. + 1.36921e7i 0.0632424 + 0.964112i
\(727\) −91194.3 52651.0i −0.00639929 0.00369463i 0.496797 0.867867i \(-0.334509\pi\)
−0.503196 + 0.864172i \(0.667843\pi\)
\(728\) −6.51828e6 + 5.71821e6i −0.455832 + 0.399882i
\(729\) 1.45064e7 1.01097
\(730\) 3.31104e6 + 1.63261e6i 0.229963 + 0.113390i
\(731\) −1.67472e7 + 9.66901e6i −1.15918 + 0.669251i
\(732\) −1.36068e6 + 3.28596e6i −0.0938596 + 0.226665i
\(733\) 3.05573e6 0.210066 0.105033 0.994469i \(-0.466505\pi\)
0.105033 + 0.994469i \(0.466505\pi\)
\(734\) 1.02302e7 2.07476e7i 0.700882 1.42144i
\(735\) 1.48070e6 + 2.56465e6i 0.101100 + 0.175110i
\(736\) 1.10449e7 3.75248e6i 0.751563 0.255343i
\(737\) −3.08698e6 + 1.78227e6i −0.209346 + 0.120866i
\(738\) −53708.3 80371.0i −0.00362995 0.00543199i
\(739\) −3.36720e6 1.94405e6i −0.226808 0.130948i 0.382291 0.924042i \(-0.375135\pi\)
−0.609099 + 0.793095i \(0.708469\pi\)
\(740\) 2.01497e6 1.54648e6i 0.135266 0.103816i
\(741\) 1.47980e7 + 3.31540e6i 0.990049 + 0.221815i
\(742\) −879888. 433855.i −0.0586702 0.0289291i
\(743\) 1.49115e7 2.58275e7i 0.990944 1.71637i 0.379185 0.925321i \(-0.376204\pi\)
0.611759 0.791044i \(-0.290462\pi\)
\(744\) −2.71393e6 920775.i −0.179749 0.0609847i
\(745\) −2.30914e6 3.99955e6i −0.152426 0.264010i
\(746\) 1.69997e6 + 2.54390e6i 0.111839 + 0.167360i
\(747\) −79717.3 + 46024.8i −0.00522699 + 0.00301780i
\(748\) 3.86112e6 2.96339e6i 0.252325 0.193658i
\(749\) 5.88070e6i 0.383022i
\(750\) −599262. 9.13557e6i −0.0389013 0.593038i
\(751\) 296978. + 514381.i 0.0192143 + 0.0332801i 0.875473 0.483268i \(-0.160550\pi\)
−0.856258 + 0.516548i \(0.827217\pi\)
\(752\) 8.89353e6 + 2.38100e6i 0.573495 + 0.153538i
\(753\) 8.41801e6i 0.541031i
\(754\) 1.21489e6 + 1.85206e7i 0.0778230 + 1.18639i
\(755\) 1.30624e6 2.26247e6i 0.0833979 0.144449i
\(756\) 8.67625e6 + 3.59275e6i 0.552113 + 0.228624i
\(757\) 7.12232e6 1.23362e7i 0.451733 0.782424i −0.546761 0.837289i \(-0.684139\pi\)
0.998494 + 0.0548644i \(0.0174726\pi\)
\(758\) −6.60539e6 + 4.41408e6i −0.417566 + 0.279041i
\(759\) 2.10903e6 0.132886
\(760\) 2.60581e6 4.27417e6i 0.163647 0.268422i
\(761\) −9.17339e6 −0.574206 −0.287103 0.957900i \(-0.592692\pi\)
−0.287103 + 0.957900i \(0.592692\pi\)
\(762\) −2.20634e7 + 1.47440e7i −1.37653 + 0.919874i
\(763\) 5.83205e6 1.01014e7i 0.362669 0.628161i
\(764\) −2.78311e7 1.15246e7i −1.72503 0.714318i
\(765\) −53964.9 + 93470.0i −0.00333394 + 0.00577456i
\(766\) −131588. 2.00603e6i −0.00810300 0.123528i
\(767\) 7.36378e6i 0.451973i
\(768\) 1.40795e7 + 8.12088e6i 0.861360 + 0.496821i
\(769\) 1.11806e7 +