Properties

Label 27.4.e.a.16.1
Level 27
Weight 4
Character 27.16
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 16.1
Character \(\chi\) = 27.16
Dual form 27.4.e.a.22.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.58593 - 3.00895i) q^{2} +(-2.57206 + 4.51492i) q^{3} +(2.41590 + 13.7013i) q^{4} +(2.94522 + 1.07197i) q^{5} +(22.8084 - 8.45097i) q^{6} +(-5.29680 + 30.0397i) q^{7} +(13.8388 - 23.9695i) q^{8} +(-13.7690 - 23.2253i) q^{9} +O(q^{10})\) \(q+(-3.58593 - 3.00895i) q^{2} +(-2.57206 + 4.51492i) q^{3} +(2.41590 + 13.7013i) q^{4} +(2.94522 + 1.07197i) q^{5} +(22.8084 - 8.45097i) q^{6} +(-5.29680 + 30.0397i) q^{7} +(13.8388 - 23.9695i) q^{8} +(-13.7690 - 23.2253i) q^{9} +(-7.33583 - 12.7060i) q^{10} +(-49.0358 + 17.8476i) q^{11} +(-68.0740 - 24.3329i) q^{12} +(11.6707 - 9.79286i) q^{13} +(109.382 - 91.7822i) q^{14} +(-12.4152 + 10.5403i) q^{15} +(-17.1590 + 6.24538i) q^{16} +(35.3229 + 61.1810i) q^{17} +(-20.5091 + 124.714i) q^{18} +(32.0937 - 55.5879i) q^{19} +(-7.57202 + 42.9431i) q^{20} +(-122.003 - 101.178i) q^{21} +(229.541 + 83.5461i) q^{22} +(9.07464 + 51.4649i) q^{23} +(72.6261 + 124.132i) q^{24} +(-88.2303 - 74.0341i) q^{25} -71.3164 q^{26} +(140.275 - 2.42909i) q^{27} -424.378 q^{28} +(20.2760 + 17.0136i) q^{29} +(76.2350 - 0.440005i) q^{30} +(18.8621 + 106.972i) q^{31} +(-127.744 - 46.4951i) q^{32} +(45.5427 - 267.298i) q^{33} +(57.4254 - 325.675i) q^{34} +(-47.8020 + 82.7954i) q^{35} +(284.951 - 244.763i) q^{36} +(175.269 + 303.574i) q^{37} +(-282.346 + 102.766i) q^{38} +(14.1963 + 77.8800i) q^{39} +(66.4530 - 55.7607i) q^{40} +(147.723 - 123.955i) q^{41} +(133.053 + 729.919i) q^{42} +(132.385 - 48.1843i) q^{43} +(-363.000 - 628.734i) q^{44} +(-15.6559 - 83.1637i) q^{45} +(122.314 - 211.854i) q^{46} +(-20.0049 + 113.454i) q^{47} +(15.9367 - 93.5352i) q^{48} +(-552.010 - 200.915i) q^{49} +(93.6228 + 530.961i) q^{50} +(-367.080 + 2.11867i) q^{51} +(162.370 + 136.245i) q^{52} -3.24190 q^{53} +(-510.325 - 413.370i) q^{54} -163.553 q^{55} +(646.734 + 542.674i) q^{56} +(168.428 + 287.876i) q^{57} +(-21.5153 - 122.019i) q^{58} +(725.956 + 264.226i) q^{59} +(-174.409 - 144.639i) q^{60} +(32.0329 - 181.668i) q^{61} +(254.236 - 440.349i) q^{62} +(770.612 - 290.596i) q^{63} +(391.221 + 677.615i) q^{64} +(44.8704 - 16.3315i) q^{65} +(-967.597 + 821.474i) q^{66} +(-349.715 + 293.446i) q^{67} +(-752.921 + 631.776i) q^{68} +(-255.700 - 91.3995i) q^{69} +(420.541 - 153.065i) q^{70} +(88.2401 + 152.836i) q^{71} +(-747.245 + 8.62602i) q^{72} +(23.6217 - 40.9140i) q^{73} +(284.939 - 1615.97i) q^{74} +(561.192 - 207.933i) q^{75} +(839.159 + 305.429i) q^{76} +(-276.402 - 1567.55i) q^{77} +(183.430 - 321.988i) q^{78} +(-240.365 - 201.690i) q^{79} -57.2321 q^{80} +(-349.829 + 639.579i) q^{81} -902.697 q^{82} +(-36.6934 - 30.7894i) q^{83} +(1091.53 - 1916.03i) q^{84} +(38.4493 + 218.057i) q^{85} +(-619.708 - 225.555i) q^{86} +(-128.966 + 47.7846i) q^{87} +(-250.799 + 1422.35i) q^{88} +(-306.581 + 531.013i) q^{89} +(-194.094 + 345.326i) q^{90} +(232.357 + 402.454i) q^{91} +(-683.210 + 248.668i) q^{92} +(-531.485 - 189.978i) q^{93} +(413.112 - 346.642i) q^{94} +(154.112 - 129.315i) q^{95} +(538.488 - 457.167i) q^{96} +(-1046.19 + 380.782i) q^{97} +(1374.92 + 2381.44i) q^{98} +(1089.69 + 893.127i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.58593 3.00895i −1.26782 1.06382i −0.994804 0.101813i \(-0.967536\pi\)
−0.273013 0.962010i \(-0.588020\pi\)
\(3\) −2.57206 + 4.51492i −0.494993 + 0.868897i
\(4\) 2.41590 + 13.7013i 0.301988 + 1.71266i
\(5\) 2.94522 + 1.07197i 0.263429 + 0.0958802i 0.470358 0.882476i \(-0.344125\pi\)
−0.206929 + 0.978356i \(0.566347\pi\)
\(6\) 22.8084 8.45097i 1.55191 0.575016i
\(7\) −5.29680 + 30.0397i −0.286000 + 1.62199i 0.415690 + 0.909507i \(0.363540\pi\)
−0.701690 + 0.712482i \(0.747571\pi\)
\(8\) 13.8388 23.9695i 0.611594 1.05931i
\(9\) −13.7690 23.2253i −0.509963 0.860196i
\(10\) −7.33583 12.7060i −0.231979 0.401800i
\(11\) −49.0358 + 17.8476i −1.34408 + 0.489204i −0.911094 0.412199i \(-0.864761\pi\)
−0.432982 + 0.901402i \(0.642539\pi\)
\(12\) −68.0740 24.3329i −1.63761 0.585358i
\(13\) 11.6707 9.79286i 0.248990 0.208927i −0.509748 0.860324i \(-0.670261\pi\)
0.758737 + 0.651397i \(0.225817\pi\)
\(14\) 109.382 91.7822i 2.08811 1.75213i
\(15\) −12.4152 + 10.5403i −0.213705 + 0.181432i
\(16\) −17.1590 + 6.24538i −0.268110 + 0.0975840i
\(17\) 35.3229 + 61.1810i 0.503945 + 0.872858i 0.999990 + 0.00456086i \(0.00145177\pi\)
−0.496045 + 0.868297i \(0.665215\pi\)
\(18\) −20.5091 + 124.714i −0.268558 + 1.63308i
\(19\) 32.0937 55.5879i 0.387515 0.671196i −0.604599 0.796530i \(-0.706667\pi\)
0.992115 + 0.125333i \(0.0400001\pi\)
\(20\) −7.57202 + 42.9431i −0.0846578 + 0.480118i
\(21\) −122.003 101.178i −1.26777 1.05138i
\(22\) 229.541 + 83.5461i 2.22447 + 0.809640i
\(23\) 9.07464 + 51.4649i 0.0822693 + 0.466572i 0.997913 + 0.0645805i \(0.0205709\pi\)
−0.915643 + 0.401992i \(0.868318\pi\)
\(24\) 72.6261 + 124.132i 0.617698 + 1.05576i
\(25\) −88.2303 74.0341i −0.705843 0.592272i
\(26\) −71.3164 −0.537935
\(27\) 140.275 2.42909i 0.999850 0.0173140i
\(28\) −424.378 −2.86428
\(29\) 20.2760 + 17.0136i 0.129833 + 0.108943i 0.705392 0.708817i \(-0.250771\pi\)
−0.575559 + 0.817760i \(0.695215\pi\)
\(30\) 76.2350 0.440005i 0.463951 0.00267778i
\(31\) 18.8621 + 106.972i 0.109282 + 0.619766i 0.989423 + 0.145056i \(0.0463362\pi\)
−0.880142 + 0.474711i \(0.842553\pi\)
\(32\) −127.744 46.4951i −0.705694 0.256852i
\(33\) 45.5427 267.298i 0.240241 1.41002i
\(34\) 57.4254 325.675i 0.289658 1.64273i
\(35\) −47.8020 + 82.7954i −0.230857 + 0.399857i
\(36\) 284.951 244.763i 1.31922 1.13316i
\(37\) 175.269 + 303.574i 0.778756 + 1.34885i 0.932659 + 0.360760i \(0.117482\pi\)
−0.153903 + 0.988086i \(0.549184\pi\)
\(38\) −282.346 + 102.766i −1.20533 + 0.438705i
\(39\) 14.1963 + 77.8800i 0.0582879 + 0.319764i
\(40\) 66.4530 55.7607i 0.262678 0.220413i
\(41\) 147.723 123.955i 0.562695 0.472157i −0.316518 0.948587i \(-0.602514\pi\)
0.879213 + 0.476429i \(0.158069\pi\)
\(42\) 133.053 + 729.919i 0.488821 + 2.68164i
\(43\) 132.385 48.1843i 0.469501 0.170885i −0.0964251 0.995340i \(-0.530741\pi\)
0.565926 + 0.824456i \(0.308519\pi\)
\(44\) −363.000 628.734i −1.24373 2.15421i
\(45\) −15.6559 83.1637i −0.0518632 0.275496i
\(46\) 122.314 211.854i 0.392049 0.679048i
\(47\) −20.0049 + 113.454i −0.0620855 + 0.352104i 0.937901 + 0.346903i \(0.112767\pi\)
−0.999986 + 0.00520123i \(0.998344\pi\)
\(48\) 15.9367 93.5352i 0.0479222 0.281263i
\(49\) −552.010 200.915i −1.60936 0.585759i
\(50\) 93.6228 + 530.961i 0.264805 + 1.50178i
\(51\) −367.080 + 2.11867i −1.00787 + 0.00581713i
\(52\) 162.370 + 136.245i 0.433013 + 0.363341i
\(53\) −3.24190 −0.00840206 −0.00420103 0.999991i \(-0.501337\pi\)
−0.00420103 + 0.999991i \(0.501337\pi\)
\(54\) −510.325 413.370i −1.28605 1.04171i
\(55\) −163.553 −0.400973
\(56\) 646.734 + 542.674i 1.54328 + 1.29496i
\(57\) 168.428 + 287.876i 0.391383 + 0.668949i
\(58\) −21.5153 122.019i −0.0487085 0.276239i
\(59\) 725.956 + 264.226i 1.60189 + 0.583039i 0.979813 0.199918i \(-0.0640677\pi\)
0.622075 + 0.782958i \(0.286290\pi\)
\(60\) −174.409 144.639i −0.375268 0.311214i
\(61\) 32.0329 181.668i 0.0672360 0.381314i −0.932558 0.361020i \(-0.882429\pi\)
0.999794 0.0202943i \(-0.00646030\pi\)
\(62\) 254.236 440.349i 0.520773 0.902006i
\(63\) 770.612 290.596i 1.54108 0.581138i
\(64\) 391.221 + 677.615i 0.764104 + 1.32347i
\(65\) 44.8704 16.3315i 0.0856230 0.0311642i
\(66\) −967.597 + 821.474i −1.80459 + 1.53207i
\(67\) −349.715 + 293.446i −0.637679 + 0.535076i −0.903304 0.429000i \(-0.858866\pi\)
0.265625 + 0.964076i \(0.414422\pi\)
\(68\) −752.921 + 631.776i −1.34272 + 1.12668i
\(69\) −255.700 91.3995i −0.446126 0.159467i
\(70\) 420.541 153.065i 0.718062 0.261353i
\(71\) 88.2401 + 152.836i 0.147495 + 0.255469i 0.930301 0.366797i \(-0.119546\pi\)
−0.782806 + 0.622266i \(0.786212\pi\)
\(72\) −747.245 + 8.62602i −1.22311 + 0.0141193i
\(73\) 23.6217 40.9140i 0.0378728 0.0655976i −0.846468 0.532440i \(-0.821275\pi\)
0.884340 + 0.466843i \(0.154609\pi\)
\(74\) 284.939 1615.97i 0.447614 2.53855i
\(75\) 561.192 207.933i 0.864011 0.320134i
\(76\) 839.159 + 305.429i 1.26655 + 0.460988i
\(77\) −276.402 1567.55i −0.409077 2.31999i
\(78\) 183.430 321.988i 0.266274 0.467410i
\(79\) −240.365 201.690i −0.342319 0.287240i 0.455378 0.890298i \(-0.349504\pi\)
−0.797697 + 0.603058i \(0.793949\pi\)
\(80\) −57.2321 −0.0799842
\(81\) −349.829 + 639.579i −0.479875 + 0.877337i
\(82\) −902.697 −1.21569
\(83\) −36.6934 30.7894i −0.0485256 0.0407178i 0.618202 0.786019i \(-0.287861\pi\)
−0.666728 + 0.745301i \(0.732306\pi\)
\(84\) 1091.53 1916.03i 1.41780 2.48877i
\(85\) 38.4493 + 218.057i 0.0490637 + 0.278254i
\(86\) −619.708 225.555i −0.777032 0.282817i
\(87\) −128.966 + 47.7846i −0.158927 + 0.0588856i
\(88\) −250.799 + 1422.35i −0.303810 + 1.72299i
\(89\) −306.581 + 531.013i −0.365140 + 0.632441i −0.988799 0.149256i \(-0.952312\pi\)
0.623658 + 0.781697i \(0.285646\pi\)
\(90\) −194.094 + 345.326i −0.227326 + 0.404451i
\(91\) 232.357 + 402.454i 0.267666 + 0.463612i
\(92\) −683.210 + 248.668i −0.774235 + 0.281798i
\(93\) −531.485 189.978i −0.592607 0.211826i
\(94\) 413.112 346.642i 0.453290 0.380355i
\(95\) 154.112 129.315i 0.166437 0.139657i
\(96\) 538.488 457.167i 0.572491 0.486035i
\(97\) −1046.19 + 380.782i −1.09510 + 0.398583i −0.825507 0.564392i \(-0.809111\pi\)
−0.269590 + 0.962975i \(0.586888\pi\)
\(98\) 1374.92 + 2381.44i 1.41723 + 2.45471i
\(99\) 1089.69 + 893.127i 1.10624 + 0.906693i
\(100\) 801.204 1387.73i 0.801204 1.38773i
\(101\) −23.1067 + 131.044i −0.0227644 + 0.129103i −0.994072 0.108723i \(-0.965324\pi\)
0.971308 + 0.237826i \(0.0764349\pi\)
\(102\) 1322.70 + 1096.93i 1.28399 + 1.06482i
\(103\) −1093.03 397.830i −1.04562 0.380576i −0.238615 0.971114i \(-0.576693\pi\)
−0.807010 + 0.590538i \(0.798915\pi\)
\(104\) −73.2218 415.262i −0.0690384 0.391536i
\(105\) −250.865 428.777i −0.233161 0.398518i
\(106\) 11.6252 + 9.75471i 0.0106523 + 0.00893831i
\(107\) 61.0084 0.0551206 0.0275603 0.999620i \(-0.491226\pi\)
0.0275603 + 0.999620i \(0.491226\pi\)
\(108\) 372.173 + 1916.08i 0.331596 + 1.70717i
\(109\) 1788.84 1.57192 0.785961 0.618276i \(-0.212169\pi\)
0.785961 + 0.618276i \(0.212169\pi\)
\(110\) 586.490 + 492.124i 0.508360 + 0.426565i
\(111\) −1821.41 + 10.5126i −1.55749 + 0.00898933i
\(112\) −96.7210 548.532i −0.0816007 0.462780i
\(113\) 309.662 + 112.708i 0.257792 + 0.0938287i 0.467683 0.883896i \(-0.345089\pi\)
−0.209891 + 0.977725i \(0.567311\pi\)
\(114\) 262.233 1539.09i 0.215442 1.26447i
\(115\) −28.4421 + 161.303i −0.0230630 + 0.130797i
\(116\) −184.123 + 318.911i −0.147374 + 0.255260i
\(117\) −388.136 136.217i −0.306694 0.107635i
\(118\) −1808.18 3131.86i −1.41065 2.44331i
\(119\) −2024.96 + 737.024i −1.55989 + 0.567755i
\(120\) 80.8338 + 443.450i 0.0614924 + 0.337344i
\(121\) 1066.37 894.787i 0.801176 0.672267i
\(122\) −661.497 + 555.062i −0.490894 + 0.411909i
\(123\) 179.692 + 985.777i 0.131726 + 0.722639i
\(124\) −1420.08 + 516.869i −1.02845 + 0.374324i
\(125\) −376.385 651.919i −0.269320 0.466475i
\(126\) −3637.75 1276.67i −2.57203 0.902660i
\(127\) 442.097 765.734i 0.308896 0.535023i −0.669225 0.743060i \(-0.733374\pi\)
0.978121 + 0.208036i \(0.0667072\pi\)
\(128\) 447.169 2536.02i 0.308785 1.75121i
\(129\) −122.955 + 721.642i −0.0839190 + 0.492535i
\(130\) −210.043 76.4493i −0.141707 0.0515773i
\(131\) 288.996 + 1638.98i 0.192746 + 1.09311i 0.915593 + 0.402106i \(0.131722\pi\)
−0.722847 + 0.691008i \(0.757167\pi\)
\(132\) 3772.34 21.7728i 2.48743 0.0143567i
\(133\) 1499.85 + 1258.52i 0.977843 + 0.820508i
\(134\) 2137.02 1.37769
\(135\) 415.745 + 143.217i 0.265049 + 0.0913048i
\(136\) 1955.30 1.23284
\(137\) −143.746 120.618i −0.0896429 0.0752194i 0.596865 0.802342i \(-0.296413\pi\)
−0.686508 + 0.727122i \(0.740857\pi\)
\(138\) 641.906 + 1097.14i 0.395961 + 0.676774i
\(139\) −241.747 1371.02i −0.147516 0.836605i −0.965312 0.261097i \(-0.915916\pi\)
0.817796 0.575508i \(-0.195195\pi\)
\(140\) −1249.89 454.922i −0.754534 0.274628i
\(141\) −460.780 382.130i −0.275210 0.228235i
\(142\) 143.454 813.570i 0.0847776 0.480797i
\(143\) −397.502 + 688.494i −0.232453 + 0.402621i
\(144\) 381.314 + 312.531i 0.220668 + 0.180863i
\(145\) 41.4793 + 71.8442i 0.0237563 + 0.0411472i
\(146\) −207.814 + 75.6380i −0.117800 + 0.0428757i
\(147\) 2326.92 1975.52i 1.30559 1.10842i
\(148\) −3735.92 + 3134.81i −2.07494 + 1.74108i
\(149\) 1579.49 1325.35i 0.868437 0.728705i −0.0953311 0.995446i \(-0.530391\pi\)
0.963768 + 0.266740i \(0.0859465\pi\)
\(150\) −2638.05 942.965i −1.43597 0.513285i
\(151\) 1455.04 529.591i 0.784169 0.285414i 0.0812590 0.996693i \(-0.474106\pi\)
0.702910 + 0.711279i \(0.251884\pi\)
\(152\) −888.275 1538.54i −0.474004 0.820999i
\(153\) 934.587 1662.79i 0.493836 0.878617i
\(154\) −3725.53 + 6452.81i −1.94943 + 3.37651i
\(155\) −59.1183 + 335.276i −0.0306354 + 0.173742i
\(156\) −1032.76 + 382.658i −0.530044 + 0.196392i
\(157\) 342.298 + 124.586i 0.174002 + 0.0633316i 0.427552 0.903991i \(-0.359376\pi\)
−0.253550 + 0.967322i \(0.581598\pi\)
\(158\) 255.056 + 1446.49i 0.128425 + 0.728335i
\(159\) 8.33836 14.6369i 0.00415896 0.00730052i
\(160\) −326.394 273.877i −0.161273 0.135324i
\(161\) −1594.05 −0.780304
\(162\) 3178.92 1240.86i 1.54173 0.601799i
\(163\) 2054.66 0.987321 0.493660 0.869655i \(-0.335659\pi\)
0.493660 + 0.869655i \(0.335659\pi\)
\(164\) 2055.22 + 1724.53i 0.978571 + 0.821119i
\(165\) 420.669 738.430i 0.198479 0.348404i
\(166\) 38.9360 + 220.817i 0.0182049 + 0.103245i
\(167\) −3515.68 1279.60i −1.62905 0.592926i −0.643975 0.765047i \(-0.722716\pi\)
−0.985076 + 0.172121i \(0.944938\pi\)
\(168\) −4113.57 + 1524.16i −1.88910 + 0.699950i
\(169\) −341.200 + 1935.04i −0.155303 + 0.880766i
\(170\) 518.246 897.628i 0.233810 0.404970i
\(171\) −1732.94 + 20.0047i −0.774979 + 0.00894618i
\(172\) 980.016 + 1697.44i 0.434451 + 0.752490i
\(173\) 3861.34 1405.41i 1.69695 0.617640i 0.701479 0.712690i \(-0.252523\pi\)
0.995472 + 0.0950505i \(0.0303013\pi\)
\(174\) 606.245 + 216.701i 0.264134 + 0.0944141i
\(175\) 2691.30 2258.27i 1.16253 0.975479i
\(176\) 729.942 612.494i 0.312622 0.262321i
\(177\) −3060.16 + 2598.03i −1.29952 + 1.10327i
\(178\) 2697.17 981.688i 1.13574 0.413374i
\(179\) −2025.01 3507.41i −0.845564 1.46456i −0.885130 0.465343i \(-0.845931\pi\)
0.0395661 0.999217i \(-0.487402\pi\)
\(180\) 1101.62 415.421i 0.456168 0.172020i
\(181\) −487.694 + 844.711i −0.200276 + 0.346889i −0.948617 0.316425i \(-0.897517\pi\)
0.748341 + 0.663314i \(0.230851\pi\)
\(182\) 377.749 2142.32i 0.153850 0.872524i
\(183\) 737.825 + 611.887i 0.298041 + 0.247169i
\(184\) 1359.17 + 494.697i 0.544561 + 0.198204i
\(185\) 190.782 + 1081.98i 0.0758192 + 0.429992i
\(186\) 1334.23 + 2280.46i 0.525971 + 0.898985i
\(187\) −2824.02 2369.63i −1.10435 0.926656i
\(188\) −1602.79 −0.621783
\(189\) −670.040 + 4226.68i −0.257874 + 1.62670i
\(190\) −941.735 −0.359582
\(191\) 3422.73 + 2872.01i 1.29665 + 1.08802i 0.990713 + 0.135967i \(0.0434142\pi\)
0.305937 + 0.952052i \(0.401030\pi\)
\(192\) −4065.62 + 23.4655i −1.52818 + 0.00882019i
\(193\) 871.661 + 4943.44i 0.325096 + 1.84371i 0.508998 + 0.860768i \(0.330016\pi\)
−0.183902 + 0.982945i \(0.558873\pi\)
\(194\) 4897.31 + 1782.47i 1.81240 + 0.659661i
\(195\) −41.6741 + 244.592i −0.0153043 + 0.0898236i
\(196\) 1419.19 8048.63i 0.517198 2.93317i
\(197\) 573.953 994.116i 0.207576 0.359532i −0.743374 0.668876i \(-0.766776\pi\)
0.950950 + 0.309343i \(0.100109\pi\)
\(198\) −1220.17 6481.50i −0.437948 2.32637i
\(199\) −1535.19 2659.03i −0.546869 0.947206i −0.998487 0.0549939i \(-0.982486\pi\)
0.451617 0.892212i \(-0.350847\pi\)
\(200\) −2995.56 + 1090.29i −1.05909 + 0.385477i
\(201\) −425.396 2333.70i −0.149279 0.818937i
\(202\) 477.165 400.389i 0.166204 0.139462i
\(203\) −618.481 + 518.967i −0.213837 + 0.179430i
\(204\) −915.858 5024.34i −0.314328 1.72438i
\(205\) 567.954 206.718i 0.193501 0.0704284i
\(206\) 2722.47 + 4715.45i 0.920793 + 1.59486i
\(207\) 1070.34 919.381i 0.359389 0.308703i
\(208\) −139.098 + 240.924i −0.0463686 + 0.0803128i
\(209\) −581.630 + 3298.59i −0.192498 + 1.09171i
\(210\) −390.584 + 2292.40i −0.128347 + 0.753290i
\(211\) −5105.91 1858.40i −1.66590 0.606339i −0.674630 0.738156i \(-0.735697\pi\)
−0.991274 + 0.131817i \(0.957919\pi\)
\(212\) −7.83212 44.4181i −0.00253732 0.0143899i
\(213\) −917.003 + 5.29266i −0.294986 + 0.00170257i
\(214\) −218.771 183.571i −0.0698828 0.0586386i
\(215\) 441.556 0.140065
\(216\) 1883.01 3395.94i 0.593161 1.06974i
\(217\) −3313.31 −1.03651
\(218\) −6414.64 5382.52i −1.99291 1.67225i
\(219\) 123.967 + 211.883i 0.0382507 + 0.0653779i
\(220\) −395.129 2240.89i −0.121089 0.686730i
\(221\) 1011.38 + 368.112i 0.307841 + 0.112045i
\(222\) 6563.09 + 5442.85i 1.98417 + 1.64549i
\(223\) −748.910 + 4247.28i −0.224891 + 1.27542i 0.638002 + 0.770034i \(0.279761\pi\)
−0.862893 + 0.505386i \(0.831350\pi\)
\(224\) 2073.33 3591.12i 0.618439 1.07117i
\(225\) −504.619 + 3068.55i −0.149517 + 0.909200i
\(226\) −771.292 1335.92i −0.227016 0.393203i
\(227\) −1685.55 + 613.489i −0.492836 + 0.179377i −0.576469 0.817119i \(-0.695570\pi\)
0.0836333 + 0.996497i \(0.473348\pi\)
\(228\) −3537.36 + 3003.16i −1.02749 + 0.872319i
\(229\) 1480.39 1242.20i 0.427192 0.358457i −0.403699 0.914892i \(-0.632276\pi\)
0.830891 + 0.556435i \(0.187831\pi\)
\(230\) 587.344 492.840i 0.168384 0.141291i
\(231\) 7788.30 + 2783.91i 2.21832 + 0.792934i
\(232\) 688.403 250.558i 0.194810 0.0709050i
\(233\) −1836.39 3180.72i −0.516335 0.894318i −0.999820 0.0189653i \(-0.993963\pi\)
0.483486 0.875352i \(-0.339371\pi\)
\(234\) 981.956 + 1656.34i 0.274327 + 0.462729i
\(235\) −180.538 + 312.701i −0.0501149 + 0.0868016i
\(236\) −1866.40 + 10584.9i −0.514797 + 2.91956i
\(237\) 1528.85 566.470i 0.419027 0.155258i
\(238\) 9479.01 + 3450.08i 2.58165 + 0.939644i
\(239\) −263.444 1494.07i −0.0713003 0.404364i −0.999480 0.0322329i \(-0.989738\pi\)
0.928180 0.372131i \(-0.121373\pi\)
\(240\) 147.204 258.398i 0.0395917 0.0694980i
\(241\) 3731.32 + 3130.95i 0.997326 + 0.836856i 0.986612 0.163086i \(-0.0521449\pi\)
0.0107145 + 0.999943i \(0.496589\pi\)
\(242\) −6516.28 −1.73092
\(243\) −1987.86 3224.48i −0.524780 0.851238i
\(244\) 2566.47 0.673366
\(245\) −1410.42 1183.48i −0.367789 0.308611i
\(246\) 2321.79 4075.61i 0.601756 1.05631i
\(247\) −169.809 963.037i −0.0437438 0.248083i
\(248\) 2825.09 + 1028.25i 0.723362 + 0.263282i
\(249\) 233.389 86.4755i 0.0593994 0.0220087i
\(250\) −611.900 + 3470.26i −0.154800 + 0.877913i
\(251\) −1277.75 + 2213.14i −0.321319 + 0.556542i −0.980761 0.195215i \(-0.937460\pi\)
0.659441 + 0.751756i \(0.270793\pi\)
\(252\) 5843.26 + 9856.30i 1.46068 + 2.46384i
\(253\) −1363.50 2361.66i −0.338825 0.586862i
\(254\) −3889.38 + 1415.62i −0.960794 + 0.349700i
\(255\) −1083.40 387.260i −0.266060 0.0951026i
\(256\) −4439.19 + 3724.92i −1.08379 + 0.909405i
\(257\) 672.124 563.979i 0.163136 0.136887i −0.557565 0.830133i \(-0.688264\pi\)
0.720701 + 0.693246i \(0.243820\pi\)
\(258\) 2612.29 2217.79i 0.630364 0.535169i
\(259\) −10047.6 + 3657.04i −2.41054 + 0.877364i
\(260\) 332.165 + 575.327i 0.0792307 + 0.137232i
\(261\) 115.965 705.177i 0.0275022 0.167239i
\(262\) 3895.28 6746.82i 0.918515 1.59091i
\(263\) 970.761 5505.46i 0.227603 1.29080i −0.630042 0.776561i \(-0.716962\pi\)
0.857645 0.514242i \(-0.171927\pi\)
\(264\) −5776.73 4790.71i −1.34672 1.11685i
\(265\) −9.54812 3.47523i −0.00221334 0.000805591i
\(266\) −1591.51 9025.92i −0.366849 2.08051i
\(267\) −1608.94 2749.99i −0.368784 0.630323i
\(268\) −4865.46 4082.60i −1.10897 0.930540i
\(269\) 4914.12 1.11383 0.556913 0.830571i \(-0.311986\pi\)
0.556913 + 0.830571i \(0.311986\pi\)
\(270\) −1059.90 1764.52i −0.238901 0.397723i
\(271\) −2629.84 −0.589487 −0.294744 0.955576i \(-0.595234\pi\)
−0.294744 + 0.955576i \(0.595234\pi\)
\(272\) −988.206 829.203i −0.220290 0.184845i
\(273\) −2414.68 + 13.9368i −0.535324 + 0.00308972i
\(274\) 152.532 + 865.051i 0.0336306 + 0.190729i
\(275\) 5647.77 + 2055.62i 1.23845 + 0.450758i
\(276\) 634.541 3724.23i 0.138387 0.812218i
\(277\) 919.152 5212.77i 0.199374 1.13070i −0.706677 0.707536i \(-0.749807\pi\)
0.906051 0.423169i \(-0.139082\pi\)
\(278\) −3258.43 + 5643.77i −0.702977 + 1.21759i
\(279\) 2224.75 1910.98i 0.477391 0.410062i
\(280\) 1323.04 + 2291.58i 0.282382 + 0.489100i
\(281\) 1902.69 692.524i 0.403933 0.147020i −0.132060 0.991242i \(-0.542159\pi\)
0.535994 + 0.844222i \(0.319937\pi\)
\(282\) 502.512 + 2756.75i 0.106114 + 0.582136i
\(283\) 5187.82 4353.10i 1.08970 0.914363i 0.0930064 0.995666i \(-0.470352\pi\)
0.996690 + 0.0813021i \(0.0259078\pi\)
\(284\) −1880.87 + 1578.24i −0.392990 + 0.329758i
\(285\) 187.463 + 1028.41i 0.0389625 + 0.213746i
\(286\) 3497.05 1272.82i 0.723025 0.263160i
\(287\) 2941.09 + 5094.12i 0.604903 + 1.04772i
\(288\) 679.049 + 3607.09i 0.138935 + 0.738020i
\(289\) −38.9128 + 67.3989i −0.00792037 + 0.0137185i
\(290\) 67.4340 382.437i 0.0136547 0.0774396i
\(291\) 971.663 5702.85i 0.195738 1.14882i
\(292\) 617.641 + 224.803i 0.123783 + 0.0450534i
\(293\) −272.936 1547.90i −0.0544201 0.308632i 0.945432 0.325819i \(-0.105640\pi\)
−0.999852 + 0.0171872i \(0.994529\pi\)
\(294\) −14288.4 + 82.4682i −2.83441 + 0.0163593i
\(295\) 1854.86 + 1556.41i 0.366081 + 0.307179i
\(296\) 9702.02 1.90513
\(297\) −6835.14 + 2622.68i −1.33540 + 0.512402i
\(298\) −9651.86 −1.87623
\(299\) 609.896 + 511.763i 0.117964 + 0.0989834i
\(300\) 4204.73 + 7186.69i 0.809200 + 1.38308i
\(301\) 746.221 + 4232.03i 0.142895 + 0.810399i
\(302\) −6811.18 2479.07i −1.29781 0.472365i
\(303\) −532.224 441.379i −0.100909 0.0836851i
\(304\) −203.529 + 1154.27i −0.0383987 + 0.217770i
\(305\) 289.087 500.714i 0.0542724 0.0940025i
\(306\) −8354.60 + 3150.51i −1.56079 + 0.588570i
\(307\) 4253.71 + 7367.64i 0.790788 + 1.36968i 0.925480 + 0.378797i \(0.123662\pi\)
−0.134692 + 0.990888i \(0.543005\pi\)
\(308\) 20809.7 7574.11i 3.84981 1.40122i
\(309\) 4607.51 3911.69i 0.848258 0.720157i
\(310\) 1220.82 1024.39i 0.223671 0.187682i
\(311\) −6795.24 + 5701.88i −1.23898 + 1.03963i −0.241377 + 0.970432i \(0.577599\pi\)
−0.997603 + 0.0691959i \(0.977957\pi\)
\(312\) 2063.20 + 737.487i 0.374378 + 0.133821i
\(313\) 4568.17 1662.68i 0.824946 0.300256i 0.105163 0.994455i \(-0.466464\pi\)
0.719783 + 0.694199i \(0.244241\pi\)
\(314\) −852.581 1476.71i −0.153229 0.265401i
\(315\) 2581.13 29.7960i 0.461684 0.00532957i
\(316\) 2182.72 3780.57i 0.388568 0.673019i
\(317\) −892.835 + 5063.52i −0.158191 + 0.897147i 0.797619 + 0.603162i \(0.206093\pi\)
−0.955810 + 0.293985i \(0.905018\pi\)
\(318\) −73.9425 + 27.3972i −0.0130393 + 0.00483131i
\(319\) −1297.90 472.398i −0.227801 0.0829128i
\(320\) 425.848 + 2415.10i 0.0743926 + 0.421901i
\(321\) −156.917 + 275.448i −0.0272843 + 0.0478941i
\(322\) 5716.16 + 4796.42i 0.989282 + 0.830106i
\(323\) 4534.56 0.781145
\(324\) −9608.19 3247.94i −1.64749 0.556917i
\(325\) −1754.71 −0.299489
\(326\) −7367.85 6182.36i −1.25174 1.05034i
\(327\) −4601.00 + 8076.46i −0.778091 + 1.36584i
\(328\) −926.815 5256.23i −0.156021 0.884838i
\(329\) −3302.14 1201.88i −0.553353 0.201404i
\(330\) −3730.39 + 1382.18i −0.622276 + 0.230566i
\(331\) 73.9029 419.124i 0.0122721 0.0695987i −0.978057 0.208339i \(-0.933194\pi\)
0.990329 + 0.138740i \(0.0443054\pi\)
\(332\) 333.206 577.130i 0.0550815 0.0954040i
\(333\) 4637.33 8250.58i 0.763135 1.35774i
\(334\) 8756.71 + 15167.1i 1.43457 + 2.48474i
\(335\) −1344.55 + 489.378i −0.219286 + 0.0798137i
\(336\) 2725.35 + 974.170i 0.442500 + 0.158171i
\(337\) −6033.36 + 5062.59i −0.975247 + 0.818329i −0.983366 0.181638i \(-0.941860\pi\)
0.00811862 + 0.999967i \(0.497416\pi\)
\(338\) 7045.97 5912.27i 1.13388 0.951435i
\(339\) −1305.33 + 1108.21i −0.209133 + 0.177550i
\(340\) −2894.77 + 1053.61i −0.461738 + 0.168059i
\(341\) −2834.11 4908.82i −0.450075 0.779552i
\(342\) 6274.40 + 5142.60i 0.992048 + 0.813099i
\(343\) 3728.04 6457.15i 0.586866 1.01648i
\(344\) 677.099 3840.02i 0.106124 0.601860i
\(345\) −655.116 543.296i −0.102233 0.0847828i
\(346\) −18075.3 6578.88i −2.80848 1.02220i
\(347\) 1576.05 + 8938.23i 0.243824 + 1.38279i 0.823209 + 0.567739i \(0.192182\pi\)
−0.579385 + 0.815054i \(0.696707\pi\)
\(348\) −966.280 1651.56i −0.148845 0.254405i
\(349\) −4507.96 3782.63i −0.691420 0.580170i 0.227898 0.973685i \(-0.426815\pi\)
−0.919318 + 0.393515i \(0.871259\pi\)
\(350\) −16445.8 −2.51161
\(351\) 1613.32 1402.04i 0.245335 0.213207i
\(352\) 7093.86 1.07416
\(353\) 1206.41 + 1012.30i 0.181900 + 0.152633i 0.729191 0.684310i \(-0.239896\pi\)
−0.547291 + 0.836942i \(0.684341\pi\)
\(354\) 18790.8 108.455i 2.82125 0.0162834i
\(355\) 96.0502 + 544.728i 0.0143600 + 0.0814399i
\(356\) −8016.22 2917.67i −1.19342 0.434371i
\(357\) 1880.71 11038.2i 0.278817 1.63642i
\(358\) −3292.10 + 18670.5i −0.486014 + 2.75632i
\(359\) −1288.44 + 2231.64i −0.189419 + 0.328082i −0.945057 0.326907i \(-0.893994\pi\)
0.755638 + 0.654989i \(0.227327\pi\)
\(360\) −2210.05 775.621i −0.323555 0.113552i
\(361\) 1369.49 + 2372.03i 0.199664 + 0.345828i
\(362\) 4290.53 1561.62i 0.622942 0.226732i
\(363\) 1297.13 + 7116.00i 0.187554 + 1.02891i
\(364\) −4952.78 + 4155.88i −0.713176 + 0.598426i
\(365\) 113.430 95.1790i 0.0162663 0.0136490i
\(366\) −804.649 4414.26i −0.114917 0.630429i
\(367\) 7370.16 2682.52i 1.04828 0.381543i 0.240267 0.970707i \(-0.422765\pi\)
0.808014 + 0.589164i \(0.200543\pi\)
\(368\) −477.130 826.413i −0.0675872 0.117065i
\(369\) −4912.88 1724.19i −0.693102 0.243245i
\(370\) 2571.48 4453.94i 0.361311 0.625809i
\(371\) 17.1717 97.3856i 0.00240299 0.0136280i
\(372\) 1318.92 7740.99i 0.183825 1.07890i
\(373\) 742.689 + 270.317i 0.103096 + 0.0375240i 0.393053 0.919516i \(-0.371419\pi\)
−0.289957 + 0.957040i \(0.593641\pi\)
\(374\) 2996.61 + 16994.6i 0.414308 + 2.34966i
\(375\) 3911.45 22.5757i 0.538630 0.00310881i
\(376\) 2442.58 + 2049.57i 0.335017 + 0.281113i
\(377\) 403.247 0.0550883
\(378\) 15120.6 13140.4i 2.05746 1.78802i
\(379\) 2352.16 0.318792 0.159396 0.987215i \(-0.449045\pi\)
0.159396 + 0.987215i \(0.449045\pi\)
\(380\) 2144.10 + 1799.11i 0.289447 + 0.242875i
\(381\) 2320.13 + 3965.55i 0.311979 + 0.533231i
\(382\) −3631.92 20597.7i −0.486454 2.75882i
\(383\) −2407.58 876.286i −0.321205 0.116909i 0.176386 0.984321i \(-0.443559\pi\)
−0.497590 + 0.867412i \(0.665782\pi\)
\(384\) 10299.8 + 8541.73i 1.36877 + 1.13514i
\(385\) 866.310 4913.09i 0.114679 0.650374i
\(386\) 11748.8 20349.6i 1.54922 2.68333i
\(387\) −2941.91 2411.24i −0.386423 0.316718i
\(388\) −7744.68 13414.2i −1.01334 1.75516i
\(389\) 4602.57 1675.20i 0.599896 0.218344i −0.0241805 0.999708i \(-0.507698\pi\)
0.624076 + 0.781363i \(0.285475\pi\)
\(390\) 885.405 751.694i 0.114960 0.0975987i
\(391\) −2828.13 + 2373.08i −0.365792 + 0.306936i
\(392\) −12455.0 + 10451.0i −1.60478 + 1.34657i
\(393\) −8143.16 2910.75i −1.04521 0.373608i
\(394\) −5049.40 + 1837.83i −0.645647 + 0.234996i
\(395\) −491.723 851.688i −0.0626361 0.108489i
\(396\) −9604.39 + 17087.8i −1.21878 + 2.16842i
\(397\) −2389.95 + 4139.51i −0.302136 + 0.523315i −0.976620 0.214975i \(-0.931033\pi\)
0.674484 + 0.738290i \(0.264366\pi\)
\(398\) −2495.81 + 14154.4i −0.314330 + 1.78266i
\(399\) −9539.82 + 3534.70i −1.19696 + 0.443499i
\(400\) 1976.32 + 719.321i 0.247040 + 0.0899151i
\(401\) −1985.67 11261.3i −0.247281 1.40240i −0.815134 0.579272i \(-0.803337\pi\)
0.567853 0.823130i \(-0.307774\pi\)
\(402\) −5496.53 + 9648.46i −0.681946 + 1.19707i
\(403\) 1267.70 + 1063.72i 0.156696 + 0.131484i
\(404\) −1851.30 −0.227984
\(405\) −1715.94 + 1508.69i −0.210532 + 0.185105i
\(406\) 3779.37 0.461988
\(407\) −14012.5 11757.9i −1.70657 1.43198i
\(408\) −5029.16 + 8828.04i −0.610246 + 1.07121i
\(409\) 127.051 + 720.541i 0.0153600 + 0.0871111i 0.991524 0.129923i \(-0.0414729\pi\)
−0.976164 + 0.217034i \(0.930362\pi\)
\(410\) −2658.64 967.667i −0.320247 0.116560i
\(411\) 914.303 338.768i 0.109731 0.0406574i
\(412\) 2810.12 15937.0i 0.336031 1.90573i
\(413\) −11782.5 + 20407.9i −1.40382 + 2.43149i
\(414\) −6604.52 + 76.2411i −0.784045 + 0.00905083i
\(415\) −75.0648 130.016i −0.00887900 0.0153789i
\(416\) −1946.18 + 708.353i −0.229374 + 0.0834852i
\(417\) 6811.82 + 2434.87i 0.799943 + 0.285938i
\(418\) 12011.0 10078.4i 1.40544 1.17931i
\(419\) 9216.88 7733.88i 1.07464 0.901730i 0.0791753 0.996861i \(-0.474771\pi\)
0.995465 + 0.0951306i \(0.0303269\pi\)
\(420\) 5268.72 4473.05i 0.612113 0.519673i
\(421\) 9190.64 3345.12i 1.06395 0.387247i 0.250041 0.968235i \(-0.419556\pi\)
0.813912 + 0.580988i \(0.197334\pi\)
\(422\) 12717.6 + 22027.5i 1.46702 + 2.54095i
\(423\) 2910.44 1097.52i 0.334540 0.126155i
\(424\) −44.8640 + 77.7067i −0.00513865 + 0.00890040i
\(425\) 1412.93 8013.12i 0.161264 0.914573i
\(426\) 3304.23 + 2740.23i 0.375799 + 0.311654i
\(427\) 5287.56 + 1924.52i 0.599258 + 0.218112i
\(428\) 147.390 + 835.892i 0.0166457 + 0.0944027i
\(429\) −2086.09 3565.54i −0.234773 0.401272i
\(430\) −1583.39 1328.62i −0.177576 0.149004i
\(431\) 13216.3 1.47704 0.738521 0.674230i \(-0.235525\pi\)
0.738521 + 0.674230i \(0.235525\pi\)
\(432\) −2391.81 + 917.752i −0.266380 + 0.102211i
\(433\) −8013.78 −0.889417 −0.444708 0.895675i \(-0.646693\pi\)
−0.444708 + 0.895675i \(0.646693\pi\)
\(434\) 11881.3 + 9969.59i 1.31410 + 1.10266i
\(435\) −431.058 + 2.48793i −0.0475119 + 0.000274224i
\(436\) 4321.66 + 24509.3i 0.474702 + 2.69217i
\(437\) 3152.06 + 1147.26i 0.345042 + 0.125585i
\(438\) 193.010 1132.81i 0.0210557 0.123579i
\(439\) 1447.64 8209.96i 0.157385 0.892575i −0.799188 0.601081i \(-0.794737\pi\)
0.956573 0.291493i \(-0.0941521\pi\)
\(440\) −2263.38 + 3920.29i −0.245233 + 0.424756i
\(441\) 2934.32 + 15587.0i 0.316846 + 1.68308i
\(442\) −2519.10 4363.21i −0.271089 0.469540i
\(443\) −9943.42 + 3619.11i −1.06642 + 0.388147i −0.814838 0.579688i \(-0.803174\pi\)
−0.251586 + 0.967835i \(0.580952\pi\)
\(444\) −4544.40 24930.3i −0.485738 2.66473i
\(445\) −1472.18 + 1235.31i −0.156827 + 0.131594i
\(446\) 15465.4 12977.0i 1.64194 1.37775i
\(447\) 1921.31 + 10540.2i 0.203299 + 1.11529i
\(448\) −22427.5 + 8162.96i −2.36518 + 0.860856i
\(449\) 4046.22 + 7008.25i 0.425285 + 0.736614i 0.996447 0.0842226i \(-0.0268407\pi\)
−0.571162 + 0.820837i \(0.693507\pi\)
\(450\) 11042.6 9485.22i 1.15679 0.993640i
\(451\) −5031.44 + 8714.71i −0.525324 + 0.909888i
\(452\) −796.125 + 4515.05i −0.0828464 + 0.469845i
\(453\) −1351.39 + 7931.53i −0.140163 + 0.822640i
\(454\) 7890.20 + 2871.80i 0.815651 + 0.296873i
\(455\) 252.923 + 1434.40i 0.0260598 + 0.147792i
\(456\) 9231.07 53.2789i 0.947992 0.00547152i
\(457\) −10258.7 8608.05i −1.05007 0.881111i −0.0569661 0.998376i \(-0.518143\pi\)
−0.993101 + 0.117266i \(0.962587\pi\)
\(458\) −9046.27 −0.922936
\(459\) 5103.54 + 8496.37i 0.518982 + 0.864002i
\(460\) −2278.77 −0.230975
\(461\) −1578.04 1324.13i −0.159428 0.133776i 0.559584 0.828774i \(-0.310961\pi\)
−0.719012 + 0.694997i \(0.755405\pi\)
\(462\) −19551.6 33417.5i −1.96888 3.36520i
\(463\) 1067.23 + 6052.56i 0.107124 + 0.607530i 0.990351 + 0.138584i \(0.0442550\pi\)
−0.883227 + 0.468946i \(0.844634\pi\)
\(464\) −454.174 165.306i −0.0454407 0.0165391i
\(465\) −1361.69 1129.27i −0.135800 0.112620i
\(466\) −2985.47 + 16931.4i −0.296779 + 1.68312i
\(467\) 6632.44 11487.7i 0.657200 1.13830i −0.324137 0.946010i \(-0.605074\pi\)
0.981337 0.192294i \(-0.0615928\pi\)
\(468\) 928.647 5647.04i 0.0917238 0.557766i
\(469\) −6962.64 12059.6i −0.685511 1.18734i
\(470\) 1588.30 578.093i 0.155878 0.0567350i
\(471\) −1442.91 + 1225.00i −0.141159 + 0.119841i
\(472\) 16379.7 13744.2i 1.59732 1.34031i
\(473\) −5631.64 + 4725.51i −0.547448 + 0.459364i
\(474\) −7186.82 2568.91i −0.696417 0.248933i
\(475\) −6947.03 + 2528.51i −0.671056 + 0.244244i
\(476\) −14990.3 25963.9i −1.44344 2.50011i
\(477\) 44.6377 + 75.2941i 0.00428474 + 0.00722742i
\(478\) −3550.88 + 6150.30i −0.339777 + 0.588511i
\(479\) 1327.47 7528.44i 0.126625 0.718128i −0.853704 0.520759i \(-0.825649\pi\)
0.980329 0.197369i \(-0.0632397\pi\)
\(480\) 2076.04 769.214i 0.197412 0.0731451i
\(481\) 5018.36 + 1826.54i 0.475713 + 0.173145i
\(482\) −3959.37 22454.7i −0.374159 2.12196i
\(483\) 4100.00 7197.02i 0.386245 0.678004i
\(484\) 14836.0 + 12448.8i 1.39331 + 1.16913i
\(485\) −3489.45 −0.326696
\(486\) −2573.97 + 17544.1i −0.240242 + 1.63749i
\(487\) 11505.9 1.07060 0.535298 0.844663i \(-0.320199\pi\)
0.535298 + 0.844663i \(0.320199\pi\)
\(488\) −3911.19 3281.87i −0.362810 0.304433i
\(489\) −5284.71 + 9276.62i −0.488717 + 0.857880i
\(490\) 1496.62 + 8487.74i 0.137980 + 0.782525i
\(491\) −2048.18 745.475i −0.188254 0.0685190i 0.246173 0.969226i \(-0.420827\pi\)
−0.434427 + 0.900707i \(0.643049\pi\)
\(492\) −13072.3 + 4843.55i −1.19785 + 0.443829i
\(493\) −324.702 + 1841.48i −0.0296630 + 0.168227i
\(494\) −2288.81 + 3964.33i −0.208458 + 0.361060i
\(495\) 2251.97 + 3798.58i 0.204482 + 0.344916i
\(496\) −991.736 1717.74i −0.0897788 0.155501i
\(497\) −5058.54 + 1841.16i −0.456552 + 0.166171i
\(498\) −1097.12 392.162i −0.0987209 0.0352875i
\(499\) −8175.54 + 6860.09i −0.733442 + 0.615431i −0.931068 0.364847i \(-0.881121\pi\)
0.197626 + 0.980278i \(0.436677\pi\)
\(500\) 8022.80 6731.93i 0.717581 0.602122i
\(501\) 14819.8 12581.8i 1.32156 1.12198i
\(502\) 11241.1 4091.44i 0.999436 0.363765i
\(503\) −6253.53 10831.4i −0.554336 0.960138i −0.997955 0.0639225i \(-0.979639\pi\)
0.443619 0.896216i \(-0.353694\pi\)
\(504\) 3698.89 22492.7i 0.326908 1.98790i
\(505\) −208.530 + 361.185i −0.0183752 + 0.0318268i
\(506\) −2216.69 + 12571.4i −0.194750 + 1.10448i
\(507\) −7858.98 6517.54i −0.688421 0.570916i
\(508\) 11559.6 + 4207.35i 1.00959 + 0.367462i
\(509\) −2383.89 13519.7i −0.207592 1.17731i −0.893309 0.449442i \(-0.851623\pi\)
0.685718 0.727868i \(-0.259488\pi\)
\(510\) 2719.76 + 4648.59i 0.236143 + 0.403614i
\(511\) 1103.92 + 926.301i 0.0955669 + 0.0801901i
\(512\) 6525.55 0.563264
\(513\) 4366.91 7875.55i 0.375836 0.677805i
\(514\) −4107.17 −0.352450
\(515\) −2792.75 2343.39i −0.238958 0.200509i
\(516\) −10184.5 + 58.7815i −0.868887 + 0.00501494i
\(517\) −1043.91 5920.32i −0.0888031 0.503628i
\(518\) 47033.9 + 17118.9i 3.98948 + 1.45205i
\(519\) −3586.28 + 21048.5i −0.303314 + 1.78020i
\(520\) 229.495 1301.53i 0.0193539 0.109761i
\(521\) −1364.30 + 2363.03i −0.114723 + 0.198707i −0.917669 0.397345i \(-0.869931\pi\)
0.802946 + 0.596052i \(0.203265\pi\)
\(522\) −2537.69 + 2179.78i −0.212781 + 0.182771i
\(523\) 3952.82 + 6846.49i 0.330487 + 0.572421i 0.982607 0.185695i \(-0.0594536\pi\)
−0.652120 + 0.758116i \(0.726120\pi\)
\(524\) −21757.9 + 7919.21i −1.81392 + 0.660214i
\(525\) 3273.71 + 17959.4i 0.272146 + 1.49297i
\(526\) −20046.7 + 16821.2i −1.66175 + 1.39437i
\(527\) −5878.40 + 4932.56i −0.485896 + 0.407715i
\(528\) 887.906 + 4871.00i 0.0731840 + 0.401483i
\(529\) 8866.96 3227.31i 0.728771 0.265251i
\(530\) 23.7820 + 41.1917i 0.00194911 + 0.00337595i
\(531\) −3858.95 20498.7i −0.315375 1.67527i
\(532\) −13619.8 + 23590.3i −1.10995 + 1.92250i
\(533\) 510.161 2893.27i 0.0414588 0.235124i
\(534\) −2505.03 + 14702.5i −0.203003 + 1.19146i
\(535\) 179.683 + 65.3993i 0.0145203 + 0.00528497i
\(536\) 2194.11 + 12443.4i 0.176812 + 1.00275i
\(537\) 21044.1 121.460i 1.69110 0.00976051i
\(538\) −17621.7 14786.3i −1.41213 1.18491i
\(539\) 30654.1 2.44966
\(540\) −957.853 + 6042.23i −0.0763323 + 0.481512i
\(541\) 15190.8 1.20721 0.603606 0.797283i \(-0.293730\pi\)
0.603606 + 0.797283i \(0.293730\pi\)
\(542\) 9430.39 + 7913.04i 0.747362 + 0.627111i
\(543\) −2559.42 4374.55i −0.202275 0.345727i
\(544\) −1667.68 9457.87i −0.131436 0.745410i
\(545\) 5268.52 + 1917.59i 0.414089 + 0.150716i
\(546\) 8700.81 + 7215.68i 0.681979 + 0.565573i
\(547\) −808.572 + 4585.64i −0.0632030 + 0.358442i 0.936761 + 0.349970i \(0.113808\pi\)
−0.999964 + 0.00847267i \(0.997303\pi\)
\(548\) 1305.34 2260.91i 0.101754 0.176243i
\(549\) −4660.35 + 1757.41i −0.362293 + 0.136620i
\(550\) −14067.2 24365.1i −1.09060 1.88897i
\(551\) 1596.48 581.072i 0.123435 0.0449265i
\(552\) −5729.38 + 4864.15i −0.441773 + 0.375058i
\(553\) 7331.88 6152.18i 0.563803 0.473087i
\(554\) −18981.0 + 15926.9i −1.45564 + 1.22143i
\(555\) −5375.74 1921.55i −0.411149 0.146964i
\(556\) 18200.6 6624.48i 1.38827 0.505289i
\(557\) −2359.71 4087.14i −0.179505 0.310911i 0.762206 0.647334i \(-0.224116\pi\)
−0.941711 + 0.336423i \(0.890783\pi\)
\(558\) −13727.8 + 158.471i −1.04148 + 0.0120226i
\(559\) 1073.16 1858.77i 0.0811985 0.140640i
\(560\) 303.147 1719.23i 0.0228755 0.129734i
\(561\) 17962.2 6655.37i 1.35181 0.500874i
\(562\) −8906.69 3241.77i −0.668516 0.243320i
\(563\) 3316.99 + 18811.6i 0.248303 + 1.40820i 0.812695 + 0.582689i \(0.198000\pi\)
−0.564392 + 0.825507i \(0.690889\pi\)
\(564\) 4122.47 7236.46i 0.307779 0.540266i
\(565\) 791.203 + 663.898i 0.0589136 + 0.0494343i
\(566\) −31701.4 −2.35426
\(567\) −17359.7 13896.5i −1.28579 1.02927i
\(568\) 4884.54 0.360829
\(569\) 14399.9 + 12083.0i 1.06094 + 0.890237i 0.994201 0.107534i \(-0.0342954\pi\)
0.0667412 + 0.997770i \(0.478740\pi\)
\(570\) 2422.20 4251.86i 0.177991 0.312440i
\(571\) −2425.55 13756.0i −0.177769 1.00818i −0.934899 0.354914i \(-0.884510\pi\)
0.757130 0.653265i \(-0.226601\pi\)
\(572\) −10393.6 3782.95i −0.759750 0.276526i
\(573\) −21770.4 + 8066.37i −1.58721 + 0.588093i
\(574\) 4781.41 27116.7i 0.347687 1.97183i
\(575\) 3009.49 5212.60i 0.218269 0.378053i
\(576\) 10351.1 18416.3i 0.748776 1.33220i
\(577\) −5985.88 10367.9i −0.431881 0.748041i 0.565154 0.824985i \(-0.308817\pi\)
−0.997035 + 0.0769449i \(0.975483\pi\)
\(578\) 342.338 124.601i 0.0246356 0.00896663i
\(579\) −24561.2 8779.34i −1.76292 0.630150i
\(580\) −884.147 + 741.887i −0.0632969 + 0.0531124i
\(581\) 1119.26 939.171i 0.0799221 0.0670626i
\(582\) −20643.9 + 17526.3i −1.47030 + 1.24826i
\(583\) 158.969 57.8600i 0.0112930 0.00411032i
\(584\) −653.792 1132.40i −0.0463255 0.0802381i
\(585\) −997.125 817.261i −0.0704719 0.0577599i
\(586\) −3678.81 + 6371.89i −0.259335 + 0.449182i
\(587\) 215.649 1223.01i 0.0151632 0.0859946i −0.976287 0.216480i \(-0.930542\pi\)
0.991450 + 0.130485i \(0.0416535\pi\)
\(588\) 32688.7 + 27109.1i 2.29262 + 1.90129i
\(589\) 6551.70 + 2384.63i 0.458333 + 0.166820i
\(590\) −1968.22 11162.3i −0.137340 0.778892i
\(591\) 3012.11 + 5148.28i 0.209648 + 0.358328i
\(592\) −4903.38 4114.42i −0.340418 0.285645i
\(593\) −19788.2 −1.37033 −0.685164 0.728389i \(-0.740270\pi\)
−0.685164 + 0.728389i \(0.740270\pi\)
\(594\) 32401.8 + 11161.9i 2.23815 + 0.771004i
\(595\) −6754.01 −0.465357
\(596\) 21974.9 + 18439.1i 1.51028 + 1.26728i
\(597\) 15953.9 92.0812i 1.09372 0.00631262i
\(598\) −647.171 3670.29i −0.0442555 0.250985i
\(599\) −10203.7 3713.84i −0.696013 0.253328i −0.0303055 0.999541i \(-0.509648\pi\)
−0.665708 + 0.746213i \(0.731870\pi\)
\(600\) 2782.17 16329.0i 0.189303 1.11105i
\(601\) 2149.42 12190.0i 0.145885 0.827353i −0.820768 0.571262i \(-0.806454\pi\)
0.966653 0.256091i \(-0.0824347\pi\)
\(602\) 10058.1 17421.1i 0.680957 1.17945i
\(603\) 11630.6 + 4081.78i 0.785464 + 0.275660i
\(604\) 10771.3 + 18656.5i 0.725627 + 1.25682i
\(605\) 4099.87 1492.23i 0.275510 0.100277i
\(606\) 580.427 + 3184.19i 0.0389080 + 0.213447i
\(607\) −437.013 + 366.698i −0.0292221 + 0.0245203i −0.657282 0.753645i \(-0.728294\pi\)
0.628060 + 0.778165i \(0.283849\pi\)
\(608\) −6684.35 + 5608.83i −0.445865 + 0.374125i
\(609\) −752.325 4127.21i −0.0500587 0.274619i
\(610\) −2543.27 + 925.673i −0.168810 + 0.0614417i
\(611\) 877.564 + 1519.99i 0.0581055 + 0.100642i
\(612\) 25040.2 + 8787.89i 1.65390 + 0.580440i
\(613\) −6020.22 + 10427.3i −0.396663 + 0.687040i −0.993312 0.115462i \(-0.963165\pi\)
0.596649 + 0.802502i \(0.296498\pi\)
\(614\) 6915.36 39219.0i 0.454530 2.57777i
\(615\) −527.495 + 3095.96i −0.0345864 + 0.202994i
\(616\) −41398.5 15067.8i −2.70778 0.985552i
\(617\) 2860.54 + 16222.9i 0.186647 + 1.05853i 0.923821 + 0.382824i \(0.125048\pi\)
−0.737174 + 0.675702i \(0.763840\pi\)
\(618\) −28292.3 + 163.294i −1.84156 + 0.0106289i
\(619\) 16324.7 + 13698.0i 1.06001 + 0.889451i 0.994110 0.108375i \(-0.0345647\pi\)
0.0658968 + 0.997826i \(0.479009\pi\)
\(620\) −4736.53 −0.306813
\(621\) 1397.96 + 7197.19i 0.0903352 + 0.465078i
\(622\) 41523.9 2.67678
\(623\) −14327.6 12022.2i −0.921383 0.773132i
\(624\) −729.985 1247.69i −0.0468314 0.0800439i
\(625\) 2090.33 + 11854.8i 0.133781 + 0.758709i
\(626\) −21384.0 7783.14i −1.36530 0.496928i
\(627\) −13396.9 11110.2i −0.853300 0.707652i
\(628\) −880.031 + 4990.91i −0.0559189 + 0.317132i
\(629\) −12382.0 + 21446.2i −0.784900 + 1.35949i
\(630\) −9345.41 7659.65i −0.591000 0.484394i
\(631\) 4125.03 + 7144.76i 0.260245 + 0.450758i 0.966307 0.257392i \(-0.0828632\pi\)
−0.706062 + 0.708150i \(0.749530\pi\)
\(632\) −8160.78 + 2970.28i −0.513637 + 0.186949i
\(633\) 21523.3 18272.9i 1.35146 1.14736i
\(634\) 18437.5 15470.9i 1.15496 0.969130i
\(635\) 2122.92 1781.34i 0.132670 0.111323i
\(636\) 220.689 + 78.8848i 0.0137593 + 0.00491821i
\(637\) −8409.87 + 3060.94i −0.523095 + 0.190391i
\(638\) 3232.76 + 5599.30i 0.200605 + 0.347459i
\(639\) 2334.69 4153.81i 0.144537 0.257155i
\(640\) 4035.56 6989.79i 0.249249 0.431712i
\(641\) −4518.42 + 25625.2i −0.278419 + 1.57899i 0.449467 + 0.893297i \(0.351614\pi\)
−0.727887 + 0.685697i \(0.759497\pi\)
\(642\) 1391.50 515.580i 0.0855424 0.0316952i
\(643\) 8192.22 + 2981.72i 0.502441 + 0.182874i 0.580792 0.814052i \(-0.302743\pi\)
−0.0783505 + 0.996926i \(0.524965\pi\)
\(644\) −3851.08 21840.6i −0.235642 1.33639i
\(645\) −1135.71 + 1993.59i −0.0693310 + 0.121702i
\(646\) −16260.6 13644.3i −0.990348 0.831001i
\(647\) −23287.2 −1.41502 −0.707508 0.706705i \(-0.750181\pi\)
−0.707508 + 0.706705i \(0.750181\pi\)
\(648\) 10489.2 + 17236.2i 0.635885 + 1.04491i
\(649\) −40313.6 −2.43828
\(650\) 6292.27 + 5279.84i 0.379697 + 0.318604i
\(651\) 8522.05 14959.3i 0.513065 0.900619i
\(652\) 4963.86 + 28151.4i 0.298159 + 1.69094i
\(653\) −14922.9 5431.50i −0.894302 0.325499i −0.146335 0.989235i \(-0.546748\pi\)
−0.747967 + 0.663736i \(0.768970\pi\)
\(654\) 40800.5 15117.4i 2.43949 0.903880i
\(655\) −905.782 + 5136.94i −0.0540333 + 0.306438i
\(656\) −1760.65 + 3049.53i −0.104789 + 0.181500i
\(657\) −1275.49 + 14.7239i −0.0757405 + 0.000874330i
\(658\) 8224.84 + 14245.8i 0.487291 + 0.844013i
\(659\) 19553.5 7116.89i 1.15584 0.420690i 0.308228 0.951313i \(-0.400264\pi\)
0.847608 + 0.530623i \(0.178042\pi\)
\(660\) 11133.7 + 3979.72i 0.656636 + 0.234713i
\(661\) −13949.0 + 11704.6i −0.820809 + 0.688740i −0.953161 0.302462i \(-0.902191\pi\)
0.132353 + 0.991203i \(0.457747\pi\)
\(662\) −1526.13 + 1280.58i −0.0895995 + 0.0751829i
\(663\) −4263.33 + 3619.49i −0.249734 + 0.212020i
\(664\) −1245.80 + 453.433i −0.0728108 + 0.0265010i
\(665\) 3068.28 + 5314.42i 0.178922 + 0.309901i
\(666\) −41454.7 + 15632.5i −2.41192 + 0.909530i
\(667\) −691.605 + 1197.90i −0.0401485 + 0.0695393i
\(668\) 9038.64 51260.7i 0.523526 2.96906i
\(669\) −17249.9 14305.5i −0.996889 0.826732i
\(670\) 6293.99 + 2290.82i 0.362922 + 0.132093i
\(671\) 1671.57 + 9479.93i 0.0961701 + 0.545408i
\(672\) 10880.9 + 18597.5i 0.624611 + 1.06758i
\(673\) 8520.19 + 7149.29i 0.488008 + 0.409487i 0.853312 0.521401i \(-0.174590\pi\)
−0.365304 + 0.930888i \(0.619035\pi\)
\(674\) 36868.3 2.10699
\(675\) −12556.4 10170.8i −0.715992 0.579963i
\(676\) −27336.9 −1.55535
\(677\) 26623.1 + 22339.4i 1.51139 + 1.26820i 0.861003 + 0.508600i \(0.169837\pi\)
0.650385 + 0.759605i \(0.274608\pi\)
\(678\) 8015.37 46.2622i 0.454024 0.00262049i
\(679\) −5897.10 33444.1i −0.333299 1.89023i
\(680\) 5758.81 + 2096.03i 0.324765 + 0.118205i
\(681\) 1565.48 9188.04i 0.0880898 0.517014i
\(682\) −4607.48 + 26130.3i −0.258695 + 1.46713i
\(683\) 3589.24 6216.75i 0.201081 0.348283i −0.747796 0.663929i \(-0.768888\pi\)
0.948877 + 0.315646i \(0.102221\pi\)
\(684\) −4460.71 23695.2i −0.249356 1.32457i
\(685\) −294.066 509.338i −0.0164025 0.0284099i
\(686\) −32797.7 + 11937.4i −1.82540 + 0.664390i
\(687\) 1800.76 + 9878.85i 0.100005 + 0.548619i
\(688\) −1970.67 + 1653.59i −0.109202 + 0.0916317i
\(689\) −37.8352 + 31.7475i −0.00209203 + 0.00175542i
\(690\) 714.450 + 3919.43i 0.0394183 + 0.216247i
\(691\) −24197.2 + 8807.08i −1.33214 + 0.484858i −0.907328 0.420424i \(-0.861881\pi\)
−0.424810 + 0.905283i \(0.639659\pi\)
\(692\) 28584.6 + 49510.0i 1.57026 + 2.71978i
\(693\) −32601.1 + 28003.2i −1.78703 + 1.53500i
\(694\) 21243.1 36794.1i 1.16192 2.01251i
\(695\) 757.694 4297.09i 0.0413539 0.234530i
\(696\) −639.364 + 3752.54i −0.0348205 + 0.204367i
\(697\) 12801.7 + 4659.43i 0.695693 + 0.253212i
\(698\) 4783.47 + 27128.4i 0.259394 + 1.47110i
\(699\) 19084.0 110.147i 1.03265 0.00596015i
\(700\) 37443.0 + 31418.4i 2.02173 + 1.69644i
\(701\) 27202.1 1.46563 0.732817 0.680426i \(-0.238205\pi\)
0.732817 + 0.680426i \(0.238205\pi\)
\(702\) −10003.9 + 173.234i −0.537854 + 0.00931381i
\(703\) 22500.1 1.20712
\(704\) −31277.6 26245.0i −1.67446 1.40504i
\(705\) −947.466 1619.40i −0.0506151 0.0865109i
\(706\) −1280.14 7260.06i −0.0682421 0.387020i
\(707\) −3814.14 1388.23i −0.202893 0.0738471i
\(708\) −42989.3 35651.5i −2.28197 1.89247i
\(709\) −1745.24 + 9897.72i −0.0924453 + 0.524283i 0.903055 + 0.429525i \(0.141319\pi\)
−0.995500 + 0.0947584i \(0.969792\pi\)
\(710\) 1294.63 2242.36i 0.0684318 0.118527i
\(711\) −1374.73 + 8359.63i −0.0725125 + 0.440943i
\(712\) 8485.41 + 14697.2i 0.446635 + 0.773595i
\(713\) −5334.14 + 1941.47i −0.280175 + 0.101976i
\(714\) −39957.4 + 33923.1i −2.09435 + 1.77807i
\(715\) −1908.78 + 1601.66i −0.0998382 + 0.0837742i
\(716\) 43163.8 36218.7i 2.25294 1.89044i
\(717\) 7423.18 + 2653.40i 0.386644 + 0.138205i
\(718\) 11335.1 4125.66i 0.589170 0.214440i
\(719\) −11693.7 20254.0i −0.606537 1.05055i −0.991806 0.127749i \(-0.959225\pi\)
0.385269 0.922804i \(-0.374109\pi\)
\(720\) 788.029 + 1329.23i 0.0407890 + 0.0688021i
\(721\) 17740.2 30727.0i 0.916339 1.58715i
\(722\) 2226.42 12626.7i 0.114763 0.650853i
\(723\) −23733.2 + 8793.63i −1.22081 + 0.452335i
\(724\) −12751.8 4641.29i −0.654583 0.238249i
\(725\) −529.375 3002.23i −0.0271179 0.153793i
\(726\) 16760.3 29420.5i 0.856793 1.50399i
\(727\) −15563.4 13059.3i −0.793970 0.666220i 0.152755 0.988264i \(-0.451185\pi\)
−0.946725 + 0.322045i \(0.895630\pi\)
\(728\) 12862.2 0.654812
\(729\) 19671.2 681.481i 0.999400 0.0346228i
\(730\) −693.140 −0.0351428
\(731\) 7624.19 + 6397.46i 0.385761 + 0.323692i
\(732\) −6601.11 + 11587.4i −0.333311 + 0.585085i
\(733\) 84.3528 + 478.388i 0.00425053 + 0.0241060i 0.986859 0.161582i \(-0.0516597\pi\)
−0.982609 + 0.185688i \(0.940549\pi\)
\(734\) −34500.4 12557.1i −1.73492 0.631460i
\(735\) 8971.00 3323.94i 0.450204 0.166810i
\(736\) 1233.63 6996.27i 0.0617829 0.350388i
\(737\) 11911.3 20630.9i 0.595328 1.03114i
\(738\) 12429.2 + 20965.4i 0.619955 + 1.04573i
\(739\) −6592.06 11417.8i −0.328137 0.568349i 0.654006 0.756490i \(-0.273087\pi\)
−0.982142 + 0.188141i \(0.939754\pi\)
\(740\) −14363.5 + 5227.90i −0.713533 + 0.259705i
\(741\) 4784.80 + 1710.31i 0.237212 + 0.0847908i
\(742\) −354.605 + 297.549i −0.0175444 + 0.0147215i
\(743\) 14943.7 12539.3i 0.737864 0.619141i −0.194399 0.980922i \(-0.562276\pi\)
0.932263 + 0.361781i \(0.117831\pi\)
\(744\) −11908.8 + 10110.4i −0.586824 + 0.498204i
\(745\) 6072.70 2210.28i 0.298640 0.108696i
\(746\) −1849.86 3204.05i −0.0907883 0.157250i
\(747\) −209.862 + 1276.15i −0.0102790 + 0.0625061i
\(748\) 25644.4 44417.4i 1.25355 2.17121i
\(749\) −323.149 + 1832.67i −0.0157645 + 0.0894050i
\(750\) −14094.1 11688.4i −0.686191 0.569066i
\(751\) 20744.4 + 7550.33i 1.00795 + 0.366865i 0.792646 0.609682i \(-0.208703\pi\)
0.215306 + 0.976547i \(0.430925\pi\)
\(752\) −365.295 2071.69i −0.0177140 0.100461i
\(753\) −6705.67 11461.3i −0.324526 0.554678i
\(754\) −1446.01 1213.35i −0.0698418 0.0586042i
\(755\) 4853.13 0.233938
\(756\) −59529.6 + 1030.85i −2.86385 + 0.0495922i
\(757\) −17820.4 −0.855604 −0.427802 0.903872i \(-0.640712\pi\)
−0.427802 + 0.903872i \(0.640712\pi\)
\(758\) −8434.67 7077.52i −0.404170 0.339139i
\(759\) 14169.7 81.7832i 0.677639 0.00391112i
\(760\) −966.896 5483.54i −0.0461487 0.261722i
\(761\) 21698.4 + 7897.57i 1.03360 + 0.376198i