Properties

Label 27.4.e.a.16.6
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 16.6
Character \(\chi\) = 27.16
Dual form 27.4.e.a.22.6

$q$-expansion

\(f(q)\) \(=\) \(q+(2.26133 + 1.89748i) q^{2} +(5.05876 + 1.18697i) q^{3} +(0.123997 + 0.703222i) q^{4} +(-16.0156 - 5.82920i) q^{5} +(9.18729 + 12.2831i) q^{6} +(-2.22794 + 12.6353i) q^{7} +(10.7539 - 18.6263i) q^{8} +(24.1822 + 12.0092i) q^{9} +O(q^{10})\) \(q+(2.26133 + 1.89748i) q^{2} +(5.05876 + 1.18697i) q^{3} +(0.123997 + 0.703222i) q^{4} +(-16.0156 - 5.82920i) q^{5} +(9.18729 + 12.2831i) q^{6} +(-2.22794 + 12.6353i) q^{7} +(10.7539 - 18.6263i) q^{8} +(24.1822 + 12.0092i) q^{9} +(-25.1558 - 43.5711i) q^{10} +(-48.2711 + 17.5693i) q^{11} +(-0.207434 + 3.70462i) q^{12} +(42.4812 - 35.6460i) q^{13} +(-29.0134 + 24.3451i) q^{14} +(-74.1000 - 48.4986i) q^{15} +(65.0292 - 23.6687i) q^{16} +(18.6211 + 32.2527i) q^{17} +(31.8967 + 73.0422i) q^{18} +(-3.43235 + 5.94500i) q^{19} +(2.11333 - 11.9853i) q^{20} +(-26.2684 + 61.2745i) q^{21} +(-142.494 - 51.8638i) q^{22} +(5.91382 + 33.5389i) q^{23} +(76.5103 - 81.4614i) q^{24} +(126.764 + 106.368i) q^{25} +163.702 q^{26} +(108.077 + 89.4555i) q^{27} -9.16168 q^{28} +(-78.5252 - 65.8905i) q^{29} +(-75.5394 - 250.275i) q^{30} +(38.1788 + 216.523i) q^{31} +(30.2781 + 11.0203i) q^{32} +(-265.047 + 31.5822i) q^{33} +(-19.0904 + 108.267i) q^{34} +(109.335 - 189.374i) q^{35} +(-5.44664 + 18.4946i) q^{36} +(-159.206 - 275.752i) q^{37} +(-19.0422 + 6.93080i) q^{38} +(257.213 - 129.900i) q^{39} +(-280.806 + 235.624i) q^{40} +(-77.7716 + 65.2581i) q^{41} +(-175.669 + 88.7181i) q^{42} +(-97.2504 + 35.3962i) q^{43} +(-18.3406 - 31.7668i) q^{44} +(-317.288 - 333.298i) q^{45} +(-50.2665 + 87.0641i) q^{46} +(85.0649 - 482.427i) q^{47} +(357.062 - 42.5465i) q^{48} +(167.628 + 61.0115i) q^{49} +(84.8247 + 481.065i) q^{50} +(55.9166 + 185.261i) q^{51} +(30.3346 + 25.4537i) q^{52} +136.917 q^{53} +(74.6586 + 407.364i) q^{54} +875.505 q^{55} +(211.389 + 177.377i) q^{56} +(-24.4200 + 26.0003i) q^{57} +(-52.5455 - 298.001i) q^{58} +(195.614 + 71.1976i) q^{59} +(24.9171 - 58.1224i) q^{60} +(103.563 - 587.336i) q^{61} +(-324.514 + 562.074i) q^{62} +(-205.617 + 278.793i) q^{63} +(-229.253 - 397.077i) q^{64} +(-888.148 + 323.260i) q^{65} +(-659.285 - 431.504i) q^{66} +(-336.970 + 282.752i) q^{67} +(-20.3718 + 17.0940i) q^{68} +(-9.89319 + 176.685i) q^{69} +(606.579 - 220.777i) q^{70} +(-69.9549 - 121.165i) q^{71} +(483.740 - 321.278i) q^{72} +(-213.734 + 370.197i) q^{73} +(163.219 - 925.658i) q^{74} +(515.013 + 688.553i) q^{75} +(-4.60626 - 1.67654i) q^{76} +(-114.447 - 649.063i) q^{77} +(828.129 + 194.310i) q^{78} +(-555.545 - 466.158i) q^{79} -1179.45 q^{80} +(440.557 + 580.819i) q^{81} -299.694 q^{82} +(589.115 + 494.326i) q^{83} +(-46.3468 - 10.8747i) q^{84} +(-110.220 - 625.091i) q^{85} +(-287.079 - 104.488i) q^{86} +(-319.030 - 426.532i) q^{87} +(-191.853 + 1088.05i) q^{88} +(371.134 - 642.824i) q^{89} +(-85.0665 - 1355.75i) q^{90} +(355.751 + 616.180i) q^{91} +(-22.8520 + 8.31746i) q^{92} +(-63.8691 + 1140.66i) q^{93} +(1107.76 - 929.519i) q^{94} +(89.6256 - 75.2048i) q^{95} +(140.089 + 91.6887i) q^{96} +(-1281.35 + 466.372i) q^{97} +(263.294 + 456.038i) q^{98} +(-1378.30 - 154.836i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.26133 + 1.89748i 0.799502 + 0.670862i 0.948078 0.318039i \(-0.103024\pi\)
−0.148576 + 0.988901i \(0.547469\pi\)
\(3\) 5.05876 + 1.18697i 0.973560 + 0.228433i
\(4\) 0.123997 + 0.703222i 0.0154996 + 0.0879028i
\(5\) −16.0156 5.82920i −1.43248 0.521379i −0.494837 0.868986i \(-0.664772\pi\)
−0.937640 + 0.347607i \(0.886994\pi\)
\(6\) 9.18729 + 12.2831i 0.625116 + 0.835757i
\(7\) −2.22794 + 12.6353i −0.120298 + 0.682242i 0.863693 + 0.504019i \(0.168146\pi\)
−0.983990 + 0.178223i \(0.942965\pi\)
\(8\) 10.7539 18.6263i 0.475259 0.823173i
\(9\) 24.1822 + 12.0092i 0.895637 + 0.444786i
\(10\) −25.1558 43.5711i −0.795495 1.37784i
\(11\) −48.2711 + 17.5693i −1.32312 + 0.481576i −0.904456 0.426567i \(-0.859723\pi\)
−0.418662 + 0.908142i \(0.637501\pi\)
\(12\) −0.207434 + 3.70462i −0.00499008 + 0.0891192i
\(13\) 42.4812 35.6460i 0.906320 0.760493i −0.0650951 0.997879i \(-0.520735\pi\)
0.971415 + 0.237386i \(0.0762906\pi\)
\(14\) −29.0134 + 24.3451i −0.553868 + 0.464750i
\(15\) −74.1000 48.4986i −1.27550 0.834819i
\(16\) 65.0292 23.6687i 1.01608 0.369824i
\(17\) 18.6211 + 32.2527i 0.265663 + 0.460142i 0.967737 0.251962i \(-0.0810757\pi\)
−0.702074 + 0.712104i \(0.747742\pi\)
\(18\) 31.8967 + 73.0422i 0.417673 + 0.956456i
\(19\) −3.43235 + 5.94500i −0.0414439 + 0.0717830i −0.886003 0.463679i \(-0.846529\pi\)
0.844559 + 0.535462i \(0.179862\pi\)
\(20\) 2.11333 11.9853i 0.0236278 0.134000i
\(21\) −26.2684 + 61.2745i −0.272963 + 0.636723i
\(22\) −142.494 51.8638i −1.38091 0.502609i
\(23\) 5.91382 + 33.5389i 0.0536138 + 0.304059i 0.999809 0.0195372i \(-0.00621927\pi\)
−0.946195 + 0.323596i \(0.895108\pi\)
\(24\) 76.5103 81.4614i 0.650733 0.692843i
\(25\) 126.764 + 106.368i 1.01411 + 0.850940i
\(26\) 163.702 1.23479
\(27\) 108.077 + 89.4555i 0.770352 + 0.637619i
\(28\) −9.16168 −0.0618355
\(29\) −78.5252 65.8905i −0.502819 0.421916i 0.355775 0.934572i \(-0.384217\pi\)
−0.858594 + 0.512656i \(0.828662\pi\)
\(30\) −75.5394 250.275i −0.459718 1.52312i
\(31\) 38.1788 + 216.523i 0.221197 + 1.25447i 0.869822 + 0.493365i \(0.164233\pi\)
−0.648625 + 0.761108i \(0.724656\pi\)
\(32\) 30.2781 + 11.0203i 0.167265 + 0.0608794i
\(33\) −265.047 + 31.5822i −1.39814 + 0.166599i
\(34\) −19.0904 + 108.267i −0.0962936 + 0.546108i
\(35\) 109.335 189.374i 0.528030 0.914575i
\(36\) −5.44664 + 18.4946i −0.0252159 + 0.0856230i
\(37\) −159.206 275.752i −0.707385 1.22523i −0.965824 0.259200i \(-0.916541\pi\)
0.258438 0.966028i \(-0.416792\pi\)
\(38\) −19.0422 + 6.93080i −0.0812910 + 0.0295875i
\(39\) 257.213 129.900i 1.05608 0.533352i
\(40\) −280.806 + 235.624i −1.10998 + 0.931387i
\(41\) −77.7716 + 65.2581i −0.296241 + 0.248576i −0.778778 0.627300i \(-0.784160\pi\)
0.482537 + 0.875876i \(0.339716\pi\)
\(42\) −175.669 + 88.7181i −0.645388 + 0.325941i
\(43\) −97.2504 + 35.3962i −0.344896 + 0.125532i −0.508660 0.860968i \(-0.669859\pi\)
0.163763 + 0.986500i \(0.447637\pi\)
\(44\) −18.3406 31.7668i −0.0628397 0.108841i
\(45\) −317.288 333.298i −1.05108 1.10411i
\(46\) −50.2665 + 87.0641i −0.161117 + 0.279063i
\(47\) 85.0649 482.427i 0.264000 1.49722i −0.507868 0.861435i \(-0.669566\pi\)
0.771868 0.635783i \(-0.219323\pi\)
\(48\) 357.062 42.5465i 1.07370 0.127939i
\(49\) 167.628 + 61.0115i 0.488710 + 0.177876i
\(50\) 84.8247 + 481.065i 0.239920 + 1.36066i
\(51\) 55.9166 + 185.261i 0.153527 + 0.508662i
\(52\) 30.3346 + 25.4537i 0.0808971 + 0.0678807i
\(53\) 136.917 0.354848 0.177424 0.984134i \(-0.443224\pi\)
0.177424 + 0.984134i \(0.443224\pi\)
\(54\) 74.6586 + 407.364i 0.188144 + 1.02658i
\(55\) 875.505 2.14642
\(56\) 211.389 + 177.377i 0.504430 + 0.423267i
\(57\) −24.4200 + 26.0003i −0.0567457 + 0.0604179i
\(58\) −52.5455 298.001i −0.118958 0.674645i
\(59\) 195.614 + 71.1976i 0.431640 + 0.157104i 0.548697 0.836021i \(-0.315124\pi\)
−0.117057 + 0.993125i \(0.537346\pi\)
\(60\) 24.9171 58.1224i 0.0536131 0.125060i
\(61\) 103.563 587.336i 0.217375 1.23280i −0.659361 0.751826i \(-0.729173\pi\)
0.876737 0.480971i \(-0.159716\pi\)
\(62\) −324.514 + 562.074i −0.664730 + 1.15135i
\(63\) −205.617 + 278.793i −0.411195 + 0.557534i
\(64\) −229.253 397.077i −0.447759 0.775541i
\(65\) −888.148 + 323.260i −1.69479 + 0.616853i
\(66\) −659.285 431.504i −1.22958 0.804764i
\(67\) −336.970 + 282.752i −0.614440 + 0.515576i −0.896050 0.443952i \(-0.853576\pi\)
0.281610 + 0.959529i \(0.409131\pi\)
\(68\) −20.3718 + 17.0940i −0.0363301 + 0.0304846i
\(69\) −9.89319 + 176.685i −0.0172609 + 0.308266i
\(70\) 606.579 220.777i 1.03571 0.376969i
\(71\) −69.9549 121.165i −0.116931 0.202531i 0.801619 0.597835i \(-0.203972\pi\)
−0.918550 + 0.395305i \(0.870639\pi\)
\(72\) 483.740 321.278i 0.791796 0.525875i
\(73\) −213.734 + 370.197i −0.342680 + 0.593539i −0.984929 0.172957i \(-0.944668\pi\)
0.642250 + 0.766495i \(0.278001\pi\)
\(74\) 163.219 925.658i 0.256402 1.45413i
\(75\) 515.013 + 688.553i 0.792915 + 1.06010i
\(76\) −4.60626 1.67654i −0.00695229 0.00253043i
\(77\) −114.447 649.063i −0.169383 0.960619i
\(78\) 828.129 + 194.310i 1.20214 + 0.282067i
\(79\) −555.545 466.158i −0.791187 0.663884i 0.154852 0.987938i \(-0.450510\pi\)
−0.946039 + 0.324053i \(0.894954\pi\)
\(80\) −1179.45 −1.64833
\(81\) 440.557 + 580.819i 0.604330 + 0.796734i
\(82\) −299.694 −0.403605
\(83\) 589.115 + 494.326i 0.779082 + 0.653727i 0.943017 0.332744i \(-0.107974\pi\)
−0.163935 + 0.986471i \(0.552419\pi\)
\(84\) −46.3468 10.8747i −0.0602005 0.0141253i
\(85\) −110.220 625.091i −0.140648 0.797655i
\(86\) −287.079 104.488i −0.359960 0.131015i
\(87\) −319.030 426.532i −0.393145 0.525621i
\(88\) −191.853 + 1088.05i −0.232404 + 1.31803i
\(89\) 371.134 642.824i 0.442024 0.765609i −0.555815 0.831306i \(-0.687594\pi\)
0.997840 + 0.0656971i \(0.0209271\pi\)
\(90\) −85.0665 1355.75i −0.0996311 1.58787i
\(91\) 355.751 + 616.180i 0.409812 + 0.709815i
\(92\) −22.8520 + 8.31746i −0.0258966 + 0.00942560i
\(93\) −63.8691 + 1140.66i −0.0712142 + 1.27183i
\(94\) 1107.76 929.519i 1.21549 1.01992i
\(95\) 89.6256 75.2048i 0.0967937 0.0812195i
\(96\) 140.089 + 91.6887i 0.148935 + 0.0974785i
\(97\) −1281.35 + 466.372i −1.34125 + 0.488174i −0.910205 0.414158i \(-0.864076\pi\)
−0.431042 + 0.902332i \(0.641854\pi\)
\(98\) 263.294 + 456.038i 0.271395 + 0.470069i
\(99\) −1378.30 154.836i −1.39923 0.157188i
\(100\) −59.0816 + 102.332i −0.0590816 + 0.102332i
\(101\) −259.095 + 1469.40i −0.255256 + 1.44763i 0.540157 + 0.841564i \(0.318365\pi\)
−0.795414 + 0.606067i \(0.792746\pi\)
\(102\) −225.084 + 525.038i −0.218497 + 0.509672i
\(103\) 1294.75 + 471.250i 1.23860 + 0.450812i 0.876533 0.481341i \(-0.159850\pi\)
0.362063 + 0.932154i \(0.382072\pi\)
\(104\) −207.114 1174.60i −0.195280 1.10749i
\(105\) 777.884 828.223i 0.722988 0.769774i
\(106\) 309.614 + 259.797i 0.283702 + 0.238054i
\(107\) 1383.66 1.25013 0.625063 0.780574i \(-0.285073\pi\)
0.625063 + 0.780574i \(0.285073\pi\)
\(108\) −49.5058 + 87.0946i −0.0441083 + 0.0775989i
\(109\) −1239.19 −1.08893 −0.544463 0.838785i \(-0.683267\pi\)
−0.544463 + 0.838785i \(0.683267\pi\)
\(110\) 1979.81 + 1661.26i 1.71607 + 1.43995i
\(111\) −478.074 1583.94i −0.408799 1.35442i
\(112\) 154.180 + 874.396i 0.130077 + 0.737702i
\(113\) −518.609 188.758i −0.431741 0.157141i 0.117003 0.993132i \(-0.462671\pi\)
−0.548743 + 0.835991i \(0.684894\pi\)
\(114\) −104.557 + 12.4587i −0.0859004 + 0.0102356i
\(115\) 100.792 571.618i 0.0817294 0.463510i
\(116\) 36.5987 63.3909i 0.0292940 0.0507387i
\(117\) 1455.37 351.831i 1.14999 0.278007i
\(118\) 307.252 + 532.176i 0.239702 + 0.415176i
\(119\) −449.009 + 163.426i −0.345887 + 0.125893i
\(120\) −1700.21 + 858.658i −1.29339 + 0.653204i
\(121\) 1001.82 840.626i 0.752682 0.631575i
\(122\) 1348.65 1131.65i 1.00083 0.839795i
\(123\) −470.888 + 237.813i −0.345191 + 0.174332i
\(124\) −147.530 + 53.6964i −0.106843 + 0.0388877i
\(125\) −344.946 597.464i −0.246823 0.427510i
\(126\) −993.973 + 240.290i −0.702779 + 0.169895i
\(127\) −614.736 + 1064.75i −0.429519 + 0.743949i −0.996831 0.0795541i \(-0.974650\pi\)
0.567311 + 0.823504i \(0.307984\pi\)
\(128\) 279.792 1586.78i 0.193206 1.09573i
\(129\) −533.981 + 63.6277i −0.364453 + 0.0434272i
\(130\) −2621.78 954.250i −1.76881 0.643794i
\(131\) 185.810 + 1053.78i 0.123926 + 0.702818i 0.981940 + 0.189192i \(0.0605868\pi\)
−0.858014 + 0.513626i \(0.828302\pi\)
\(132\) −55.0743 182.470i −0.0363152 0.120318i
\(133\) −67.4698 56.6138i −0.0439877 0.0369101i
\(134\) −1298.52 −0.837127
\(135\) −1209.47 2062.69i −0.771070 1.31502i
\(136\) 800.996 0.505036
\(137\) 404.965 + 339.806i 0.252544 + 0.211909i 0.760267 0.649611i \(-0.225068\pi\)
−0.507723 + 0.861520i \(0.669513\pi\)
\(138\) −357.629 + 380.772i −0.220604 + 0.234880i
\(139\) −60.0069 340.316i −0.0366167 0.207663i 0.961010 0.276512i \(-0.0891786\pi\)
−0.997627 + 0.0688486i \(0.978067\pi\)
\(140\) 146.730 + 53.4052i 0.0885780 + 0.0322397i
\(141\) 1002.95 2339.52i 0.599034 1.39732i
\(142\) 71.7181 406.733i 0.0423834 0.240368i
\(143\) −1424.34 + 2467.03i −0.832934 + 1.44268i
\(144\) 1856.79 + 208.590i 1.07453 + 0.120712i
\(145\) 873.538 + 1513.01i 0.500299 + 0.866544i
\(146\) −1185.77 + 431.584i −0.672155 + 0.244645i
\(147\) 775.570 + 507.612i 0.435156 + 0.284811i
\(148\) 174.174 146.149i 0.0967367 0.0811717i
\(149\) −297.900 + 249.968i −0.163792 + 0.137437i −0.721000 0.692935i \(-0.756317\pi\)
0.557208 + 0.830373i \(0.311873\pi\)
\(150\) −141.903 + 2534.28i −0.0772420 + 1.37949i
\(151\) −385.609 + 140.350i −0.207817 + 0.0756394i −0.443831 0.896110i \(-0.646381\pi\)
0.236014 + 0.971750i \(0.424159\pi\)
\(152\) 73.8222 + 127.864i 0.0393932 + 0.0682311i
\(153\) 62.9689 + 1003.56i 0.0332728 + 0.530284i
\(154\) 972.783 1684.91i 0.509020 0.881649i
\(155\) 650.698 3690.29i 0.337196 1.91233i
\(156\) 123.243 + 164.771i 0.0632519 + 0.0845655i
\(157\) 819.916 + 298.425i 0.416793 + 0.151700i 0.541900 0.840443i \(-0.317705\pi\)
−0.125107 + 0.992143i \(0.539927\pi\)
\(158\) −371.746 2108.28i −0.187181 1.06155i
\(159\) 692.629 + 162.516i 0.345466 + 0.0810590i
\(160\) −420.682 352.994i −0.207862 0.174417i
\(161\) −436.950 −0.213891
\(162\) −105.849 + 2149.37i −0.0513352 + 1.04241i
\(163\) −1656.54 −0.796014 −0.398007 0.917382i \(-0.630298\pi\)
−0.398007 + 0.917382i \(0.630298\pi\)
\(164\) −55.5344 46.5989i −0.0264421 0.0221876i
\(165\) 4428.97 + 1039.20i 2.08967 + 0.490313i
\(166\) 394.209 + 2235.67i 0.184317 + 1.04531i
\(167\) 2451.46 + 892.258i 1.13593 + 0.413443i 0.840440 0.541904i \(-0.182296\pi\)
0.295485 + 0.955347i \(0.404519\pi\)
\(168\) 858.828 + 1148.22i 0.394405 + 0.527305i
\(169\) 152.513 864.943i 0.0694187 0.393693i
\(170\) 936.855 1622.68i 0.422668 0.732082i
\(171\) −154.397 + 102.543i −0.0690468 + 0.0458578i
\(172\) −36.9502 63.9996i −0.0163804 0.0283716i
\(173\) −2561.57 + 932.334i −1.12574 + 0.409734i −0.836742 0.547597i \(-0.815543\pi\)
−0.288993 + 0.957331i \(0.593321\pi\)
\(174\) 87.9031 1569.88i 0.0382984 0.683981i
\(175\) −1626.41 + 1364.72i −0.702542 + 0.589503i
\(176\) −2723.19 + 2285.03i −1.16630 + 0.978640i
\(177\) 905.055 + 592.361i 0.384340 + 0.251551i
\(178\) 2059.01 749.417i 0.867017 0.315568i
\(179\) −998.312 1729.13i −0.416857 0.722017i 0.578765 0.815495i \(-0.303535\pi\)
−0.995621 + 0.0934775i \(0.970202\pi\)
\(180\) 195.039 264.452i 0.0807633 0.109506i
\(181\) 2398.26 4153.91i 0.984870 1.70584i 0.342355 0.939571i \(-0.388775\pi\)
0.642514 0.766274i \(-0.277891\pi\)
\(182\) −364.718 + 2068.42i −0.148542 + 0.842426i
\(183\) 1221.05 2848.27i 0.493239 1.15055i
\(184\) 688.302 + 250.521i 0.275773 + 0.100373i
\(185\) 942.358 + 5344.38i 0.374506 + 2.12393i
\(186\) −2308.80 + 2458.21i −0.910160 + 0.969058i
\(187\) −1465.52 1229.71i −0.573097 0.480886i
\(188\) 349.801 0.135701
\(189\) −1371.09 + 1166.29i −0.527682 + 0.448862i
\(190\) 345.373 0.131874
\(191\) −1226.73 1029.35i −0.464730 0.389954i 0.380138 0.924930i \(-0.375876\pi\)
−0.844868 + 0.534975i \(0.820321\pi\)
\(192\) −688.415 2280.84i −0.258761 0.857319i
\(193\) −608.224 3449.41i −0.226844 1.28650i −0.859128 0.511760i \(-0.828994\pi\)
0.632284 0.774736i \(-0.282117\pi\)
\(194\) −3782.48 1376.71i −1.39983 0.509495i
\(195\) −4876.63 + 581.086i −1.79089 + 0.213397i
\(196\) −22.1193 + 125.445i −0.00806097 + 0.0457160i
\(197\) 726.059 1257.57i 0.262587 0.454813i −0.704342 0.709861i \(-0.748758\pi\)
0.966929 + 0.255048i \(0.0820911\pi\)
\(198\) −2822.99 2965.43i −1.01324 1.06436i
\(199\) 125.933 + 218.123i 0.0448601 + 0.0777000i 0.887584 0.460647i \(-0.152382\pi\)
−0.842724 + 0.538347i \(0.819049\pi\)
\(200\) 3344.44 1217.27i 1.18244 0.430372i
\(201\) −2040.27 + 1030.40i −0.715969 + 0.361586i
\(202\) −3374.06 + 2831.17i −1.17524 + 0.986142i
\(203\) 1007.49 845.389i 0.348336 0.292289i
\(204\) −123.346 + 62.2937i −0.0423332 + 0.0213796i
\(205\) 1625.96 591.801i 0.553961 0.201625i
\(206\) 2033.67 + 3522.42i 0.687827 + 1.19135i
\(207\) −259.768 + 882.065i −0.0872227 + 0.296173i
\(208\) 1918.83 3323.50i 0.639647 1.10790i
\(209\) 61.2341 347.276i 0.0202663 0.114936i
\(210\) 3330.59 396.864i 1.09444 0.130411i
\(211\) 1326.27 + 482.722i 0.432720 + 0.157497i 0.549191 0.835697i \(-0.314936\pi\)
−0.116471 + 0.993194i \(0.537158\pi\)
\(212\) 16.9773 + 96.2828i 0.00550002 + 0.0311921i
\(213\) −210.065 695.982i −0.0675748 0.223887i
\(214\) 3128.92 + 2625.47i 0.999479 + 0.838662i
\(215\) 1763.85 0.559506
\(216\) 2828.47 1051.09i 0.890988 0.331099i
\(217\) −2820.89 −0.882463
\(218\) −2802.22 2351.35i −0.870599 0.730519i
\(219\) −1520.64 + 1619.05i −0.469203 + 0.499566i
\(220\) 108.560 + 615.675i 0.0332687 + 0.188676i
\(221\) 1940.72 + 706.365i 0.590711 + 0.215001i
\(222\) 1924.42 4488.95i 0.581794 1.35711i
\(223\) −752.810 + 4269.40i −0.226062 + 1.28206i 0.634582 + 0.772856i \(0.281172\pi\)
−0.860644 + 0.509207i \(0.829939\pi\)
\(224\) −206.703 + 358.021i −0.0616560 + 0.106791i
\(225\) 1788.04 + 4094.54i 0.529788 + 1.21320i
\(226\) −814.583 1410.90i −0.239758 0.415272i
\(227\) 1776.97 646.764i 0.519567 0.189107i −0.0689072 0.997623i \(-0.521951\pi\)
0.588474 + 0.808516i \(0.299729\pi\)
\(228\) −21.3120 13.9487i −0.00619043 0.00405165i
\(229\) −1506.81 + 1264.36i −0.434815 + 0.364854i −0.833765 0.552119i \(-0.813819\pi\)
0.398950 + 0.916973i \(0.369375\pi\)
\(230\) 1312.56 1101.37i 0.376294 0.315748i
\(231\) 191.458 3419.30i 0.0545326 0.973912i
\(232\) −2071.75 + 754.054i −0.586279 + 0.213388i
\(233\) 7.00697 + 12.1364i 0.00197014 + 0.00341238i 0.867009 0.498293i \(-0.166040\pi\)
−0.865039 + 0.501705i \(0.832706\pi\)
\(234\) 3958.67 + 1965.93i 1.10592 + 0.549218i
\(235\) −4174.53 + 7230.49i −1.15879 + 2.00709i
\(236\) −25.8122 + 146.388i −0.00711963 + 0.0403774i
\(237\) −2257.06 3017.60i −0.618614 0.827064i
\(238\) −1325.46 482.426i −0.360994 0.131391i
\(239\) −213.390 1210.20i −0.0577535 0.327536i 0.942219 0.334998i \(-0.108736\pi\)
−0.999972 + 0.00746222i \(0.997625\pi\)
\(240\) −5966.56 1399.98i −1.60475 0.376534i
\(241\) 3426.22 + 2874.94i 0.915777 + 0.768428i 0.973209 0.229922i \(-0.0738470\pi\)
−0.0574326 + 0.998349i \(0.518291\pi\)
\(242\) 3860.52 1.02547
\(243\) 1539.26 + 3461.16i 0.406351 + 0.913717i
\(244\) 425.869 0.111735
\(245\) −2329.01 1954.27i −0.607326 0.509607i
\(246\) −1516.08 355.728i −0.392934 0.0921967i
\(247\) 66.1050 + 374.900i 0.0170290 + 0.0965762i
\(248\) 4443.59 + 1617.33i 1.13777 + 0.414116i
\(249\) 2393.44 + 3199.94i 0.609150 + 0.814411i
\(250\) 353.640 2005.59i 0.0894647 0.507380i
\(251\) 2596.97 4498.08i 0.653064 1.13114i −0.329311 0.944222i \(-0.606816\pi\)
0.982375 0.186919i \(-0.0598503\pi\)
\(252\) −221.549 110.025i −0.0553821 0.0275036i
\(253\) −874.721 1515.06i −0.217365 0.376487i
\(254\) −3410.47 + 1241.31i −0.842489 + 0.306641i
\(255\) 184.387 3293.02i 0.0452814 0.808693i
\(256\) 833.712 699.567i 0.203543 0.170793i
\(257\) −3250.99 + 2727.90i −0.789070 + 0.662108i −0.945515 0.325579i \(-0.894441\pi\)
0.156445 + 0.987687i \(0.449996\pi\)
\(258\) −1328.24 869.337i −0.320514 0.209777i
\(259\) 3838.91 1397.25i 0.920998 0.335216i
\(260\) −337.451 584.482i −0.0804916 0.139416i
\(261\) −1107.62 2536.40i −0.262681 0.601530i
\(262\) −1579.35 + 2735.52i −0.372415 + 0.645041i
\(263\) −566.259 + 3211.42i −0.132764 + 0.752944i 0.843626 + 0.536931i \(0.180417\pi\)
−0.976390 + 0.216013i \(0.930695\pi\)
\(264\) −2262.02 + 5276.46i −0.527340 + 1.23009i
\(265\) −2192.80 798.114i −0.508312 0.185010i
\(266\) −45.1477 256.046i −0.0104067 0.0590194i
\(267\) 2640.50 2811.37i 0.605227 0.644393i
\(268\) −240.621 201.905i −0.0548442 0.0460197i
\(269\) 2090.27 0.473777 0.236888 0.971537i \(-0.423872\pi\)
0.236888 + 0.971537i \(0.423872\pi\)
\(270\) 1178.90 6959.37i 0.265725 1.56864i
\(271\) 3689.19 0.826947 0.413473 0.910516i \(-0.364315\pi\)
0.413473 + 0.910516i \(0.364315\pi\)
\(272\) 1974.29 + 1656.63i 0.440107 + 0.369294i
\(273\) 1068.27 + 3539.37i 0.236831 + 0.784662i
\(274\) 270.984 + 1536.83i 0.0597473 + 0.338844i
\(275\) −7987.83 2907.33i −1.75158 0.637523i
\(276\) −125.476 + 14.9513i −0.0273650 + 0.00326074i
\(277\) 17.9994 102.080i 0.00390426 0.0221421i −0.982793 0.184708i \(-0.940866\pi\)
0.986698 + 0.162566i \(0.0519771\pi\)
\(278\) 510.048 883.429i 0.110038 0.190592i
\(279\) −1677.03 + 5694.50i −0.359860 + 1.22194i
\(280\) −2351.56 4073.02i −0.501902 0.869320i
\(281\) 4437.22 1615.01i 0.942000 0.342860i 0.175045 0.984560i \(-0.443993\pi\)
0.766955 + 0.641700i \(0.221771\pi\)
\(282\) 6707.20 3387.34i 1.41634 0.715295i
\(283\) 4823.80 4047.65i 1.01323 0.850205i 0.0244722 0.999701i \(-0.492209\pi\)
0.988762 + 0.149496i \(0.0477650\pi\)
\(284\) 76.5320 64.2180i 0.0159906 0.0134177i
\(285\) 542.661 274.060i 0.112788 0.0569612i
\(286\) −7902.07 + 2876.12i −1.63377 + 0.594645i
\(287\) −651.284 1128.06i −0.133952 0.232011i
\(288\) 599.846 + 630.113i 0.122730 + 0.128923i
\(289\) 1763.01 3053.62i 0.358846 0.621540i
\(290\) −895.556 + 5078.95i −0.181341 + 1.02844i
\(291\) −7035.60 + 838.342i −1.41730 + 0.168881i
\(292\) −286.833 104.399i −0.0574851 0.0209229i
\(293\) −1246.10 7067.01i −0.248458 1.40908i −0.812323 0.583208i \(-0.801797\pi\)
0.563865 0.825867i \(-0.309314\pi\)
\(294\) 790.636 + 2619.51i 0.156840 + 0.519636i
\(295\) −2717.85 2280.54i −0.536404 0.450096i
\(296\) −6848.32 −1.34477
\(297\) −6788.68 2419.28i −1.32633 0.472663i
\(298\) −1147.96 −0.223153
\(299\) 1446.75 + 1213.97i 0.279826 + 0.234802i
\(300\) −420.346 + 447.547i −0.0808956 + 0.0861305i
\(301\) −230.574 1307.65i −0.0441530 0.250404i
\(302\) −1138.30 414.309i −0.216894 0.0789430i
\(303\) −3054.84 + 7125.81i −0.579194 + 1.35105i
\(304\) −82.4925 + 467.838i −0.0155634 + 0.0882643i
\(305\) −5082.32 + 8802.83i −0.954140 + 1.65262i
\(306\) −1761.85 + 2388.88i −0.329145 + 0.446284i
\(307\) −1676.75 2904.22i −0.311717 0.539910i 0.667017 0.745042i \(-0.267571\pi\)
−0.978734 + 0.205132i \(0.934237\pi\)
\(308\) 442.245 160.964i 0.0818157 0.0297785i
\(309\) 5990.47 + 3920.78i 1.10287 + 0.721829i
\(310\) 8473.72 7110.29i 1.55250 1.30270i
\(311\) 1381.06 1158.85i 0.251809 0.211293i −0.508142 0.861274i \(-0.669667\pi\)
0.759951 + 0.649980i \(0.225223\pi\)
\(312\) 346.479 6187.86i 0.0628702 1.12282i
\(313\) 4360.89 1587.23i 0.787515 0.286632i 0.0832121 0.996532i \(-0.473482\pi\)
0.704303 + 0.709900i \(0.251260\pi\)
\(314\) 1287.85 + 2230.62i 0.231457 + 0.400895i
\(315\) 4918.21 3266.46i 0.879714 0.584266i
\(316\) 258.927 448.474i 0.0460942 0.0798375i
\(317\) −803.980 + 4559.60i −0.142448 + 0.807863i 0.826933 + 0.562301i \(0.190084\pi\)
−0.969381 + 0.245562i \(0.921027\pi\)
\(318\) 1257.89 + 1681.76i 0.221821 + 0.296567i
\(319\) 4948.15 + 1800.98i 0.868474 + 0.316099i
\(320\) 1356.97 + 7695.78i 0.237054 + 1.34440i
\(321\) 6999.61 + 1642.37i 1.21707 + 0.285570i
\(322\) −988.089 829.105i −0.171006 0.143491i
\(323\) −255.656 −0.0440405
\(324\) −353.817 + 381.829i −0.0606682 + 0.0654714i
\(325\) 9176.65 1.56624
\(326\) −3745.99 3143.26i −0.636415 0.534015i
\(327\) −6268.78 1470.89i −1.06014 0.248747i
\(328\) 379.169 + 2150.37i 0.0638296 + 0.361995i
\(329\) 5906.09 + 2149.64i 0.989706 + 0.360223i
\(330\) 8043.52 + 10753.9i 1.34176 + 1.79388i
\(331\) 758.022 4298.96i 0.125875 0.713873i −0.854909 0.518778i \(-0.826387\pi\)
0.980784 0.195095i \(-0.0625016\pi\)
\(332\) −274.573 + 475.574i −0.0453890 + 0.0786160i
\(333\) −538.369 8580.24i −0.0885959 1.41199i
\(334\) 3850.52 + 6669.29i 0.630811 + 1.09260i
\(335\) 7044.99 2564.17i 1.14898 0.418195i
\(336\) −257.926 + 4606.37i −0.0418780 + 0.747911i
\(337\) −6182.98 + 5188.14i −0.999432 + 0.838623i −0.986906 0.161299i \(-0.948432\pi\)
−0.0125262 + 0.999922i \(0.503987\pi\)
\(338\) 1986.10 1666.53i 0.319614 0.268188i
\(339\) −2399.47 1570.46i −0.384429 0.251610i
\(340\) 425.911 155.019i 0.0679361 0.0247267i
\(341\) −5647.08 9781.03i −0.896794 1.55329i
\(342\) −543.716 61.0805i −0.0859673 0.00965747i
\(343\) −3344.74 + 5793.27i −0.526528 + 0.911974i
\(344\) −386.519 + 2192.06i −0.0605806 + 0.343570i
\(345\) 1188.38 2772.05i 0.185450 0.432585i
\(346\) −7561.64 2752.21i −1.17490 0.427630i
\(347\) −490.284 2780.54i −0.0758497 0.430165i −0.998959 0.0456262i \(-0.985472\pi\)
0.923109 0.384539i \(-0.125639\pi\)
\(348\) 260.388 277.238i 0.0401099 0.0427055i
\(349\) −7163.87 6011.20i −1.09878 0.921984i −0.101435 0.994842i \(-0.532343\pi\)
−0.997342 + 0.0728586i \(0.976788\pi\)
\(350\) −6267.38 −0.957158
\(351\) 7779.98 52.3455i 1.18309 0.00796011i
\(352\) −1655.18 −0.250629
\(353\) −9389.28 7878.55i −1.41570 1.18791i −0.953598 0.301083i \(-0.902652\pi\)
−0.462100 0.886828i \(-0.652904\pi\)
\(354\) 922.636 + 3056.85i 0.138524 + 0.458954i
\(355\) 414.071 + 2348.32i 0.0619060 + 0.351086i
\(356\) 498.067 + 181.282i 0.0741503 + 0.0269885i
\(357\) −2465.41 + 293.771i −0.365500 + 0.0435519i
\(358\) 1023.47 5804.41i 0.151096 0.856907i
\(359\) −4507.73 + 7807.61i −0.662698 + 1.14783i 0.317206 + 0.948357i \(0.397255\pi\)
−0.979904 + 0.199470i \(0.936078\pi\)
\(360\) −9620.17 + 2325.65i −1.40841 + 0.340479i
\(361\) 3405.94 + 5899.26i 0.496565 + 0.860075i
\(362\) 13305.2 4842.71i 1.93179 0.703114i
\(363\) 6065.77 3063.40i 0.877053 0.442938i
\(364\) −389.199 + 326.577i −0.0560428 + 0.0470255i
\(365\) 5581.02 4683.03i 0.800340 0.671565i
\(366\) 8165.74 4123.95i 1.16620 0.588968i
\(367\) −5489.33 + 1997.95i −0.780765 + 0.284175i −0.701492 0.712678i \(-0.747482\pi\)
−0.0792735 + 0.996853i \(0.525260\pi\)
\(368\) 1178.39 + 2041.04i 0.166924 + 0.289121i
\(369\) −2664.39 + 644.107i −0.375887 + 0.0908695i
\(370\) −8009.88 + 13873.5i −1.12544 + 1.94932i
\(371\) −305.043 + 1729.98i −0.0426874 + 0.242092i
\(372\) −810.054 + 96.5237i −0.112901 + 0.0134530i
\(373\) −808.163 294.147i −0.112185 0.0408321i 0.285318 0.958433i \(-0.407901\pi\)
−0.397503 + 0.917601i \(0.630123\pi\)
\(374\) −980.658 5561.59i −0.135584 0.768938i
\(375\) −1035.83 3431.87i −0.142640 0.472589i
\(376\) −8071.05 6772.41i −1.10700 0.928884i
\(377\) −5684.57 −0.776579
\(378\) −5313.49 + 35.7504i −0.723007 + 0.00486456i
\(379\) 6966.48 0.944180 0.472090 0.881550i \(-0.343500\pi\)
0.472090 + 0.881550i \(0.343500\pi\)
\(380\) 63.9990 + 53.7016i 0.00863969 + 0.00724956i
\(381\) −4373.64 + 4656.66i −0.588105 + 0.626163i
\(382\) −820.875 4655.42i −0.109947 0.623539i
\(383\) −1602.94 583.422i −0.213855 0.0778368i 0.232871 0.972508i \(-0.425188\pi\)
−0.446726 + 0.894671i \(0.647410\pi\)
\(384\) 3298.87 7695.05i 0.438398 1.02262i
\(385\) −1950.58 + 11062.3i −0.258209 + 1.46438i
\(386\) 5169.80 8954.35i 0.681699 1.18074i
\(387\) −2776.81 311.944i −0.364737 0.0409741i
\(388\) −486.846 843.242i −0.0637007 0.110333i
\(389\) −1285.20 + 467.775i −0.167512 + 0.0609695i −0.424415 0.905468i \(-0.639520\pi\)
0.256903 + 0.966437i \(0.417298\pi\)
\(390\) −12130.3 7939.30i −1.57498 1.03083i
\(391\) −971.598 + 815.268i −0.125667 + 0.105447i
\(392\) 2939.07 2466.17i 0.378687 0.317756i
\(393\) −310.840 + 5551.37i −0.0398977 + 0.712544i
\(394\) 4028.08 1466.10i 0.515055 0.187465i
\(395\) 6180.06 + 10704.2i 0.787222 + 1.36351i
\(396\) −62.0203 988.447i −0.00787030 0.125433i
\(397\) 4079.86 7066.52i 0.515774 0.893346i −0.484059 0.875036i \(-0.660838\pi\)
0.999832 0.0183107i \(-0.00582881\pi\)
\(398\) −129.107 + 732.204i −0.0162602 + 0.0922162i
\(399\) −274.114 366.481i −0.0343932 0.0459824i
\(400\) 10760.9 + 3916.66i 1.34512 + 0.489583i
\(401\) 791.587 + 4489.31i 0.0985785 + 0.559067i 0.993592 + 0.113027i \(0.0360547\pi\)
−0.895013 + 0.446039i \(0.852834\pi\)
\(402\) −6568.90 1541.31i −0.814993 0.191227i
\(403\) 9340.05 + 7837.23i 1.15449 + 0.968735i
\(404\) −1065.44 −0.131207
\(405\) −3670.06 11870.2i −0.450289 1.45639i
\(406\) 3882.39 0.474581
\(407\) 12529.8 + 10513.8i 1.52599 + 1.28046i
\(408\) 4052.05 + 950.761i 0.491682 + 0.115367i
\(409\) −182.447 1034.71i −0.0220573 0.125093i 0.971791 0.235844i \(-0.0757855\pi\)
−0.993848 + 0.110751i \(0.964674\pi\)
\(410\) 4799.77 + 1746.97i 0.578155 + 0.210431i
\(411\) 1645.28 + 2199.68i 0.197459 + 0.263996i
\(412\) −170.848 + 968.930i −0.0204299 + 0.115863i
\(413\) −1335.42 + 2313.02i −0.159108 + 0.275584i
\(414\) −2261.13 + 1501.74i −0.268426 + 0.178276i
\(415\) −6553.50 11351.0i −0.775177 1.34265i
\(416\) 1679.08 611.136i 0.197894 0.0720274i
\(417\) 100.385 1792.80i 0.0117887 0.210537i
\(418\) 797.421 669.116i 0.0933089 0.0782955i
\(419\) −4628.87 + 3884.08i −0.539702 + 0.452864i −0.871436 0.490509i \(-0.836811\pi\)
0.331734 + 0.943373i \(0.392366\pi\)
\(420\) 678.880 + 444.328i 0.0788713 + 0.0516214i
\(421\) −10162.4 + 3698.81i −1.17645 + 0.428193i −0.854947 0.518716i \(-0.826410\pi\)
−0.321503 + 0.946909i \(0.604188\pi\)
\(422\) 2083.18 + 3608.17i 0.240302 + 0.416215i
\(423\) 7850.64 10644.6i 0.902390 1.22354i
\(424\) 1472.39 2550.25i 0.168645 0.292101i
\(425\) −1070.15 + 6069.15i −0.122141 + 0.692699i
\(426\) 845.586 1972.44i 0.0961709 0.224331i
\(427\) 7190.42 + 2617.10i 0.814916 + 0.296605i
\(428\) 171.570 + 973.021i 0.0193765 + 0.109890i
\(429\) −10133.7 + 10789.5i −1.14047 + 1.21427i
\(430\) 3988.66 + 3346.88i 0.447326 + 0.375351i
\(431\) 15064.1 1.68356 0.841779 0.539822i \(-0.181508\pi\)
0.841779 + 0.539822i \(0.181508\pi\)
\(432\) 9145.48 + 3259.17i 1.01855 + 0.362979i
\(433\) −15901.7 −1.76486 −0.882431 0.470443i \(-0.844094\pi\)
−0.882431 + 0.470443i \(0.844094\pi\)
\(434\) −6378.97 5352.59i −0.705531 0.592011i
\(435\) 2623.12 + 8690.84i 0.289124 + 0.957917i
\(436\) −153.656 871.427i −0.0168780 0.0957197i
\(437\) −219.687 79.9596i −0.0240482 0.00875283i
\(438\) −6510.79 + 775.807i −0.710268 + 0.0846336i
\(439\) 927.446 5259.81i 0.100830 0.571838i −0.891974 0.452088i \(-0.850679\pi\)
0.992804 0.119750i \(-0.0382094\pi\)
\(440\) 9415.08 16307.4i 1.02011 1.76688i
\(441\) 3320.90 + 3488.47i 0.358590 + 0.376684i
\(442\) 3048.30 + 5279.82i 0.328039 + 0.568179i
\(443\) −2171.19 + 790.247i −0.232858 + 0.0847534i −0.455814 0.890075i \(-0.650652\pi\)
0.222956 + 0.974829i \(0.428429\pi\)
\(444\) 1054.58 532.596i 0.112721 0.0569276i
\(445\) −9691.08 + 8131.78i −1.03236 + 0.866255i
\(446\) −9803.47 + 8226.09i −1.04082 + 0.873355i
\(447\) −1803.71 + 910.930i −0.190856 + 0.0963882i
\(448\) 5527.95 2012.01i 0.582971 0.212184i
\(449\) −7948.43 13767.1i −0.835433 1.44701i −0.893677 0.448710i \(-0.851883\pi\)
0.0582440 0.998302i \(-0.481450\pi\)
\(450\) −3725.97 + 12651.9i −0.390320 + 1.32537i
\(451\) 2607.59 4516.47i 0.272254 0.471557i
\(452\) 68.4331 388.103i 0.00712128 0.0403868i
\(453\) −2117.30 + 252.291i −0.219601 + 0.0261671i
\(454\) 5245.54 + 1909.22i 0.542259 + 0.197366i
\(455\) −2105.74 11942.2i −0.216964 1.23046i
\(456\) 221.678 + 734.458i 0.0227654 + 0.0754257i
\(457\) 8826.88 + 7406.63i 0.903510 + 0.758135i 0.970873 0.239594i \(-0.0770143\pi\)
−0.0673635 + 0.997729i \(0.521459\pi\)
\(458\) −5806.50 −0.592402
\(459\) −872.660 + 5151.54i −0.0887413 + 0.523863i
\(460\) 414.473 0.0420106
\(461\) 7113.52 + 5968.95i 0.718676 + 0.603040i 0.927019 0.375015i \(-0.122363\pi\)
−0.208343 + 0.978056i \(0.566807\pi\)
\(462\) 6921.02 7368.90i 0.696959 0.742061i
\(463\) −1884.54 10687.8i −0.189162 1.07279i −0.920490 0.390767i \(-0.872210\pi\)
0.731327 0.682027i \(-0.238901\pi\)
\(464\) −6665.97 2426.22i −0.666940 0.242746i
\(465\) 7672.01 17896.0i 0.765120 1.78474i
\(466\) −7.18358 + 40.7401i −0.000714105 + 0.00404989i
\(467\) −7414.37 + 12842.1i −0.734681 + 1.27250i 0.220182 + 0.975459i \(0.429335\pi\)
−0.954863 + 0.297046i \(0.903999\pi\)
\(468\) 427.877 + 979.822i 0.0422620 + 0.0967784i
\(469\) −2821.90 4887.67i −0.277832 0.481219i
\(470\) −23159.7 + 8429.46i −2.27293 + 0.827280i
\(471\) 3793.54 + 2482.88i 0.371119 + 0.242898i
\(472\) 3429.76 2877.91i 0.334465 0.280649i
\(473\) 4072.50 3417.23i 0.395885 0.332187i
\(474\) 621.892 11106.5i 0.0602625 1.07624i
\(475\) −1067.45 + 388.521i −0.103112 + 0.0375296i
\(476\) −170.600 295.488i −0.0164274 0.0284531i
\(477\) 3310.95 + 1644.26i 0.317815 + 0.157832i
\(478\) 1813.78 3141.56i 0.173558 0.300610i
\(479\) 1673.38 9490.21i 0.159622 0.905259i −0.794817 0.606850i \(-0.792433\pi\)
0.954438 0.298409i \(-0.0964559\pi\)
\(480\) −1709.14 2285.05i −0.162523 0.217287i
\(481\) −16592.7 6039.25i −1.57289 0.572487i
\(482\) 2292.67 + 13002.4i 0.216656 + 1.22872i
\(483\) −2210.43 518.648i −0.208236 0.0488598i
\(484\) 715.369 + 600.266i 0.0671835 + 0.0563736i
\(485\) 23240.1 2.17583
\(486\) −3086.72 + 10747.5i −0.288099 + 1.00312i
\(487\) −16973.1 −1.57931 −0.789654 0.613552i \(-0.789740\pi\)
−0.789654 + 0.613552i \(0.789740\pi\)
\(488\) −9826.17 8245.14i −0.911496 0.764836i
\(489\) −8380.05 1966.27i −0.774967 0.181836i
\(490\) −1558.47 8838.51i −0.143682 0.814863i
\(491\) −18781.7 6835.99i −1.72629 0.628317i −0.727932 0.685649i \(-0.759519\pi\)
−0.998355 + 0.0573317i \(0.981741\pi\)
\(492\) −225.624 301.650i −0.0206746 0.0276412i
\(493\) 662.919 3759.60i 0.0605605 0.343456i
\(494\) −561.881 + 973.207i −0.0511746 + 0.0886370i
\(495\) 21171.6 + 10514.1i 1.92241 + 0.954698i
\(496\) 7607.56 + 13176.7i 0.688688 + 1.19284i
\(497\) 1686.82 613.951i 0.152241 0.0554114i
\(498\) −659.470 + 11777.7i −0.0593405 + 1.05978i
\(499\) 4955.15 4157.87i 0.444535 0.373009i −0.392868 0.919595i \(-0.628517\pi\)
0.837403 + 0.546586i \(0.184073\pi\)
\(500\) 377.378 316.657i 0.0337537 0.0283227i
\(501\) 11342.3 + 7423.54i 1.01145 + 0.661994i
\(502\) 14407.6 5243.95i 1.28097 0.466233i
\(503\) 5251.62 + 9096.07i 0.465523 + 0.806309i 0.999225 0.0393631i \(-0.0125329\pi\)
−0.533702 + 0.845673i \(0.679200\pi\)
\(504\) 2981.70 + 6827.98i 0.263523 + 0.603458i
\(505\) 12715.0 22023.0i 1.12041 1.94061i
\(506\) 896.768 5085.83i 0.0787870 0.446823i
\(507\) 1798.19 4194.52i 0.157516 0.367426i
\(508\) −824.983 300.269i −0.0720526 0.0262250i
\(509\) 460.679 + 2612.64i 0.0401164 + 0.227511i 0.998274 0.0587302i \(-0.0187052\pi\)
−0.958158 + 0.286241i \(0.907594\pi\)
\(510\) 6665.41 7096.74i 0.578724 0.616174i
\(511\) −4201.37 3525.36i −0.363713 0.305192i
\(512\) −9677.36 −0.835318
\(513\) −902.772 + 335.478i −0.0776966 + 0.0288727i
\(514\) −12527.7 −1.07505
\(515\) −17989.2 15094.7i −1.53922 1.29156i
\(516\) −110.956 367.618i −0.00946625 0.0313633i
\(517\) 4369.71 + 24781.8i 0.371720 + 2.10813i
\(518\) 11332.3 + 4124.63i 0.961223 + 0.349857i
\(519\) −14065.0 + 1675.95i −1.18957 + 0.141746i
\(520\) −3529.93 + 20019.2i −0.297687 + 1.68827i
\(521\) 5187.85 8985.62i 0.436245 0.755599i −0.561151 0.827713i \(-0.689641\pi\)
0.997396 + 0.0721144i \(0.0229747\pi\)
\(522\) 2308.09 7837.34i 0.193530 0.657147i
\(523\) 3083.67 + 5341.08i 0.257820 + 0.446557i 0.965658 0.259818i \(-0.0836626\pi\)
−0.707838 + 0.706375i \(0.750329\pi\)
\(524\) −718.001 + 261.331i −0.0598588 + 0.0217868i
\(525\) −9847.49 + 4973.28i −0.818628 + 0.413432i
\(526\) −7374.11 + 6187.61i −0.611267 + 0.512914i
\(527\) −6272.51 + 5263.26i −0.518472 + 0.435050i
\(528\) −16488.3 + 8327.08i −1.35901 + 0.686344i
\(529\) 10343.4 3764.67i 0.850115 0.309417i
\(530\) −3444.24 5965.61i −0.282280 0.488923i
\(531\) 3875.34 + 4070.89i 0.316715 + 0.332696i
\(532\) 31.4461 54.4662i 0.00256271 0.00443874i
\(533\) −977.642 + 5544.48i −0.0794491 + 0.450578i
\(534\) 11305.6 1347.14i 0.916179 0.109169i
\(535\) −22160.1 8065.63i −1.79078 0.651790i
\(536\) 1642.87 + 9317.19i 0.132390 + 0.750823i
\(537\) −2997.80 9932.22i −0.240902 0.798151i
\(538\) 4726.79 + 3966.25i 0.378785 + 0.317839i
\(539\) −9163.51 −0.732282
\(540\) 1300.56 1106.29i 0.103643 0.0881615i
\(541\) 16400.7 1.30337 0.651683 0.758491i \(-0.274063\pi\)
0.651683 + 0.758491i \(0.274063\pi\)
\(542\) 8342.49 + 7000.18i 0.661145 + 0.554767i
\(543\) 17062.8 18167.0i 1.34850 1.43576i
\(544\) 208.376 + 1181.76i 0.0164229 + 0.0931390i
\(545\) 19846.4 + 7223.49i 1.55986 + 0.567744i
\(546\) −4300.18 + 10030.7i −0.337053 + 0.786220i
\(547\) 2598.46 14736.6i 0.203111 1.15190i −0.697272 0.716806i \(-0.745603\pi\)
0.900384 0.435096i \(-0.143286\pi\)
\(548\) −188.744 + 326.915i −0.0147131 + 0.0254838i
\(549\) 9557.83 12959.3i 0.743021 1.00745i
\(550\) −12546.5 21731.2i −0.972702 1.68477i
\(551\) 661.245 240.673i 0.0511252 0.0186080i
\(552\) 3184.60 + 2084.33i 0.245553 + 0.160715i
\(553\) 7127.77 5980.91i 0.548107 0.459917i
\(554\) 234.397 196.683i 0.0179758 0.0150835i
\(555\) −1576.46 + 28154.5i −0.120572 + 2.15332i
\(556\) 231.877 84.3963i 0.0176866 0.00643741i
\(557\) 3401.60 + 5891.74i 0.258762 + 0.448189i 0.965911 0.258876i \(-0.0833522\pi\)
−0.707149 + 0.707065i \(0.750019\pi\)
\(558\) −14597.5 + 9695.02i −1.10746 + 0.735525i
\(559\) −2869.58 + 4970.26i −0.217120 + 0.376063i
\(560\) 2627.75 14902.7i 0.198290 1.12456i
\(561\) −5954.06 7960.36i −0.448094 0.599085i
\(562\) 13098.5 + 4767.46i 0.983143 + 0.357835i
\(563\) 1348.46 + 7647.51i 0.100943 + 0.572477i 0.992763 + 0.120087i \(0.0383173\pi\)
−0.891820 + 0.452390i \(0.850572\pi\)
\(564\) 1769.56 + 415.205i 0.132113 + 0.0309987i
\(565\) 7205.52 + 6046.15i 0.536529 + 0.450201i
\(566\) 18588.6 1.38045
\(567\) −8320.35 + 4272.53i −0.616265 + 0.316454i
\(568\) −3009.15 −0.222291
\(569\) 19657.1 + 16494.3i 1.44827 + 1.21525i 0.933827 + 0.357725i \(0.116447\pi\)
0.514448 + 0.857522i \(0.327997\pi\)
\(570\) 1747.16 + 409.949i 0.128387 + 0.0301243i
\(571\) 3548.33 + 20123.6i 0.260058 + 1.47486i 0.782749 + 0.622338i \(0.213817\pi\)
−0.522691 + 0.852522i \(0.675072\pi\)
\(572\) −1911.49 695.724i −0.139726 0.0508561i
\(573\) −4983.94 6663.35i −0.363364 0.485803i
\(574\) 667.700 3786.72i 0.0485527 0.275356i
\(575\) −2817.79 + 4880.56i −0.204365 + 0.353971i
\(576\) −775.239 12355.3i −0.0560792 0.893760i
\(577\) 7720.64 + 13372.5i 0.557044 + 0.964829i 0.997741 + 0.0671730i \(0.0213980\pi\)
−0.440697 + 0.897656i \(0.645269\pi\)
\(578\) 9780.96 3559.98i 0.703865 0.256186i
\(579\) 1017.49 18171.7i 0.0730321 1.30430i
\(580\) −955.668 + 801.901i −0.0684172 + 0.0574088i
\(581\) −7558.47 + 6342.31i −0.539722 + 0.452880i
\(582\) −17500.6 11454.2i −1.24643 0.815791i
\(583\) −6609.12 + 2405.52i −0.469506 + 0.170886i
\(584\) 4596.93 + 7962.12i 0.325723 + 0.564169i
\(585\) −25359.5 2848.86i −1.79228 0.201343i
\(586\) 10591.7 18345.3i 0.746652 1.29324i
\(587\) 1693.61 9604.96i 0.119085 0.675365i −0.865561 0.500803i \(-0.833038\pi\)
0.984646 0.174562i \(-0.0558508\pi\)
\(588\) −260.796 + 608.340i −0.0182909 + 0.0426659i
\(589\) −1418.27 516.209i −0.0992171 0.0361121i
\(590\) −1818.66 10314.1i −0.126904 0.719706i
\(591\) 5165.66 5499.94i 0.359538 0.382804i
\(592\) −16879.7 14163.8i −1.17188 0.983324i
\(593\) −6417.30 −0.444396 −0.222198 0.975002i \(-0.571323\pi\)
−0.222198 + 0.975002i \(0.571323\pi\)
\(594\) −10760.9 18352.2i −0.743311 1.26768i
\(595\) 8143.77 0.561113
\(596\) −212.722 178.495i −0.0146198 0.0122675i
\(597\) 378.160 + 1252.91i 0.0259247 + 0.0858931i
\(598\) 968.103 + 5490.38i 0.0662018 + 0.375449i
\(599\) −6775.46 2466.07i −0.462167 0.168215i 0.100434 0.994944i \(-0.467977\pi\)
−0.562601 + 0.826729i \(0.690199\pi\)
\(600\) 18363.6 2188.15i 1.24948 0.148885i
\(601\) −3059.16 + 17349.4i −0.207630 + 1.17753i 0.685616 + 0.727963i \(0.259533\pi\)
−0.893246 + 0.449567i \(0.851578\pi\)
\(602\) 1959.84 3394.54i 0.132686 0.229819i
\(603\) −11544.3 + 2790.80i −0.779636 + 0.188475i
\(604\) −146.512 253.766i −0.00987000 0.0170953i
\(605\) −20944.9 + 7623.32i −1.40749 + 0.512284i
\(606\) −20429.1 + 10317.3i −1.36943 + 0.691605i
\(607\) −4575.47 + 3839.27i −0.305951 + 0.256724i −0.782816 0.622253i \(-0.786218\pi\)
0.476865 + 0.878977i \(0.341773\pi\)
\(608\) −169.441 + 142.178i −0.0113022 + 0.00948368i
\(609\) 6100.13 3080.75i 0.405895 0.204989i
\(610\) −28196.0 + 10262.5i −1.87152 + 0.681176i
\(611\) −13582.9 23526.3i −0.899355 1.55773i
\(612\) −697.921 + 168.720i −0.0460977 + 0.0111440i
\(613\) −7328.40 + 12693.2i −0.482857 + 0.836332i −0.999806 0.0196834i \(-0.993734\pi\)
0.516949 + 0.856016i \(0.327068\pi\)
\(614\) 1719.01 9749.01i 0.112986 0.640778i
\(615\) 8927.80 1063.81i 0.585371 0.0697512i
\(616\) −13320.4 4848.23i −0.871256 0.317111i
\(617\) −2004.95 11370.6i −0.130820 0.741920i −0.977679 0.210102i \(-0.932620\pi\)
0.846859 0.531817i \(-0.178491\pi\)
\(618\) 6106.84 + 20233.0i 0.397497 + 1.31697i
\(619\) −8605.90 7221.21i −0.558805 0.468893i 0.319104 0.947720i \(-0.396618\pi\)
−0.877910 + 0.478826i \(0.841062\pi\)
\(620\) 2675.78 0.173326
\(621\) −2361.09 + 4153.82i −0.152572 + 0.268417i
\(622\) 5321.93 0.343071
\(623\) 7295.40 + 6121.57i 0.469156 + 0.393668i
\(624\) 13651.8 14535.2i 0.875816 0.932492i
\(625\) −1550.10 8791.07i −0.0992066 0.562628i
\(626\) 12873.2 + 4685.45i 0.821910 + 0.299151i
\(627\) 721.976 1684.10i 0.0459855 0.107267i
\(628\) −108.192 + 613.587i −0.00687473 + 0.0389885i
\(629\) 5929.17 10269.6i 0.375853 0.650996i
\(630\) 17319.8 + 1945.68i 1.09529 + 0.123044i
\(631\) 5461.38 + 9459.38i 0.344555 + 0.596786i 0.985273 0.170990i \(-0.0546966\pi\)
−0.640718 + 0.767776i \(0.721363\pi\)
\(632\) −14657.1 + 5334.73i −0.922510 + 0.335766i
\(633\) 6136.30 + 4016.22i 0.385302 + 0.252181i
\(634\) −10469.8 + 8785.23i −0.655852 + 0.550325i
\(635\) 16052.0 13469.2i 1.00316 0.841748i
\(636\) −28.4012 + 507.224i −0.00177072 + 0.0316238i
\(637\) 9295.84 3383.41i 0.578202 0.210448i
\(638\) 7772.08 + 13461.6i 0.482288 + 0.835347i
\(639\) −236.559 3770.15i −0.0146449 0.233403i
\(640\) −13730.7 + 23782.3i −0.848052 + 1.46887i
\(641\) 4993.90 28321.8i 0.307718 1.74516i −0.302708 0.953083i \(-0.597891\pi\)
0.610426 0.792073i \(-0.290998\pi\)
\(642\) 12712.1 + 16995.6i 0.781474 + 1.04480i
\(643\) 12633.9 + 4598.35i 0.774853 + 0.282023i 0.699025 0.715097i \(-0.253618\pi\)
0.0758283 + 0.997121i \(0.475840\pi\)
\(644\) −54.1805 307.273i −0.00331523 0.0188016i
\(645\) 8922.92 + 2093.65i 0.544712 + 0.127810i
\(646\) −578.124 485.103i −0.0352105 0.0295451i
\(647\) −21305.7 −1.29461 −0.647305 0.762231i \(-0.724104\pi\)
−0.647305 + 0.762231i \(0.724104\pi\)
\(648\) 15556.2 1959.87i 0.943063 0.118813i
\(649\) −10693.4 −0.646768
\(650\) 20751.5 + 17412.5i 1.25221 + 1.05073i
\(651\) −14270.2 3348.32i −0.859131 0.201584i
\(652\) −205.406 1164.92i −0.0123379 0.0699718i
\(653\) 3199.79 + 1164.63i 0.191757 + 0.0697940i 0.436114 0.899891i \(-0.356354\pi\)
−0.244356 + 0.969685i \(0.578577\pi\)
\(654\) −11384.8 15221.1i −0.680705 0.910078i
\(655\) 3166.83 17960.0i 0.188914 1.07138i
\(656\) −3512.85 + 6084.44i −0.209076 + 0.362130i
\(657\) −9614.33 + 6385.41i −0.570914 + 0.379176i
\(658\) 9276.73 + 16067.8i 0.549612 + 0.951955i
\(659\) 9832.84 3578.86i 0.581234 0.211552i −0.0346356 0.999400i \(-0.511027\pi\)
0.615870 + 0.787848i \(0.288805\pi\)
\(660\) −181.609 + 3243.41i −0.0107108 + 0.191287i
\(661\) 8080.71 6780.52i 0.475496 0.398989i −0.373298 0.927711i \(-0.621773\pi\)
0.848795 + 0.528723i \(0.177329\pi\)
\(662\) 9871.34 8283.03i 0.579547 0.486298i
\(663\) 8979.22 + 5876.92i 0.525979 + 0.344254i
\(664\) 15542.7 5657.10i 0.908397 0.330629i
\(665\) 750.554 + 1300.00i 0.0437673 + 0.0758072i
\(666\) 15063.4 20424.3i 0.876420 1.18833i
\(667\) 1745.51 3023.32i 0.101329 0.175507i
\(668\) −323.482 + 1834.56i −0.0187364 + 0.106259i
\(669\) −8875.95 + 20704.3i −0.512951 + 1.19652i
\(670\) 20796.5 + 7569.32i 1.19916 + 0.436460i
\(671\) 5319.94 + 30170.9i 0.306072 + 1.73582i
\(672\) −1470.62 + 1565.79i −0.0844204 + 0.0898834i
\(673\) 18926.7 + 15881.4i 1.08406 + 0.909634i 0.996252 0.0865029i \(-0.0275692\pi\)
0.0878085 + 0.996137i \(0.472014\pi\)
\(674\) −23826.2 −1.36165
\(675\) 4185.15 + 22835.6i 0.238647 + 1.30214i
\(676\) 627.158 0.0356827
\(677\) −3351.28 2812.06i −0.190251 0.159640i 0.542687 0.839935i \(-0.317407\pi\)
−0.732938 + 0.680295i \(0.761852\pi\)
\(678\) −2446.08 8104.29i −0.138556 0.459061i
\(679\) −3037.98 17229.2i −0.171704 0.973781i
\(680\) −12828.4 4669.16i −0.723452 0.263315i
\(681\) 9756.96 1162.61i 0.549027 0.0654205i
\(682\) 5789.42 32833.4i 0.325056 1.84348i
\(683\) −16569.6 + 28699.3i −0.928283 + 1.60783i −0.142088 + 0.989854i \(0.545382\pi\)
−0.786195 + 0.617979i \(0.787952\pi\)
\(684\) −91.2554 95.8600i −0.00510123 0.00535863i
\(685\) −4504.95 7802.81i −0.251278 0.435226i
\(686\) −18556.2 + 6753.91i −1.03277 + 0.375897i
\(687\) −9123.36 + 4607.57i −0.506663 + 0.255880i
\(688\) −5486.33 + 4603.58i −0.304018 + 0.255102i
\(689\) 5816.39 4880.53i 0.321606 0.269860i
\(690\) 7947.23 4013.59i 0.438472 0.221442i
\(691\) −6524.93 + 2374.88i −0.359219 + 0.130745i −0.515324 0.856996i \(-0.672328\pi\)
0.156105 + 0.987740i \(0.450106\pi\)
\(692\) −973.265 1685.74i −0.0534653 0.0926046i
\(693\) 5027.16 17070.2i 0.275564 0.935704i
\(694\) 4167.33 7218.03i 0.227939 0.394802i
\(695\) −1022.72 + 5800.15i −0.0558188 + 0.316564i
\(696\) −11375.5 + 1355.47i −0.619523 + 0.0738206i
\(697\) −3552.94 1293.16i −0.193080 0.0702756i
\(698\) −4793.74 27186.7i −0.259951 1.47426i
\(699\) 21.0410 + 69.7124i 0.00113855 + 0.00377220i
\(700\) −1161.37 974.505i −0.0627081 0.0526183i
\(701\) 1947.90 0.104952 0.0524759 0.998622i \(-0.483289\pi\)
0.0524759 + 0.998622i \(0.483289\pi\)
\(702\) 17692.5 + 14644.0i 0.951223 + 0.787326i
\(703\) 2185.80 0.117267
\(704\) 18042.6 + 15139.6i 0.965920 + 0.810503i
\(705\) −29700.4 + 31622.3i −1.58664 + 1.68931i
\(706\) −6282.89 35632.0i −0.334929 1.89947i
\(707\) −17989.0 6547.48i −0.956927 0.348293i
\(708\) −304.337 + 709.906i −0.0161549 + 0.0376835i
\(709\) −5867.88 + 33278.4i −0.310822 + 1.76276i 0.283926 + 0.958846i \(0.408363\pi\)
−0.594748 + 0.803913i \(0.702748\pi\)
\(710\) −3519.54 + 6096.02i −0.186036 + 0.322224i
\(711\) −7836.11 17944.4i −0.413329 0.946508i
\(712\) −7982.28 13825.7i −0.420152 0.727725i
\(713\) −7036.16 + 2560.95i −0.369574 + 0.134514i
\(714\) −6132.54 4013.76i −0.321435 0.210380i
\(715\) 37192.5 31208.2i 1.94534 1.63234i
\(716\) 1092.17 916.442i 0.0570062 0.0478339i
\(717\) 356.979 6375.39i 0.0185936 0.332069i
\(718\) −25008.3 + 9102.27i −1.29986 + 0.473111i
\(719\) 3472.38 + 6014.34i 0.180109 + 0.311957i 0.941917 0.335845i \(-0.109022\pi\)
−0.761809 + 0.647802i \(0.775688\pi\)
\(720\) −28521.7 14164.3i −1.47631 0.733156i
\(721\) −8839.01 + 15309.6i −0.456563 + 0.790790i
\(722\) −3491.78 + 19802.9i −0.179987 + 1.02076i
\(723\) 13920.0 + 18610.5i 0.716029 + 0.957304i
\(724\) 3218.50 + 1171.44i 0.165214 + 0.0601328i
\(725\) −2945.55 16705.1i −0.150890 0.855738i
\(726\) 19529.5 + 4582.33i 0.998356 + 0.234251i
\(727\) −17249.2 14473.8i −0.879967 0.738380i 0.0862056 0.996277i \(-0.472526\pi\)
−0.966172 + 0.257898i \(0.916970\pi\)
\(728\) 15302.8 0.779067
\(729\) 3678.44 + 19336.2i 0.186884 + 0.982382i
\(730\) 21506.5 1.09040
\(731\) −2952.53 2477.47i −0.149389 0.125352i
\(732\) 2154.37 + 505.495i 0.108781 + 0.0255241i
\(733\) −2358.88 13377.9i −0.118864 0.674110i −0.984764 0.173894i \(-0.944365\pi\)
0.865901 0.500216i \(-0.166746\pi\)
\(734\) −16204.3 5897.88i −0.814866 0.296587i
\(735\) −9462.23 12650.7i −0.474857 0.634866i
\(736\) −190.551 + 1080.67i −0.00954322 + 0.0541223i
\(737\) 11298.2 19569.1i 0.564688 0.978068i
\(738\) −7247.25 3599.09i −0.361483 0.179518i
\(739\) −3311.68 5736.00i −0.164847 0.285524i 0.771754 0.635922i \(-0.219380\pi\)
−0.936601 + 0.350398i \(0.886046\pi\)
\(740\) −3641.43 + 1325.37i −0.180894 + 0.0658402i
\(741\) −110.587 + 1975.00i −0.00548246 + 0.0979127i
\(742\) −3972.42 + 3333.25i −0.196539 + 0.164916i
\(743\) −13319.2 + 11176.2i −0.657652 + 0.551836i −0.909382 0.415962i \(-0.863445\pi\)
0.251730 + 0.967798i \(0.419001\pi\)
\(744\) 20559.3 + 13456.1i 1.01309 + 0.663072i
\(745\) 6228.16 2266.87i 0.306285 0.111479i
\(746\) −1269.39 2198.64i −0.0622996 0.107906i
\(747\) 8309.62 + 19028.7i 0.407005 + 0.932027i
\(748\) 683.042 1183.06i 0.0333884 0.0578304i
\(749\) −3082.72 + 17483.0i −0.150387 + 0.852889i
\(750\) 4169.57 9726.07i 0.203002 0.473528i
\(751\) 30147.5 + 10972.8i 1.46485 + 0.533160i 0.946696 0.322130i \(-0.104399\pi\)
0.518150 + 0.855290i \(0.326621\pi\)
\(752\) −5886.72 33385.3i −0.285461 1.61893i
\(753\) 18476.5 19672.2i 0.894187 0.952052i
\(754\) −12854.7 10786.4i −0.620877 0.520977i
\(755\) 6993.89 0.337131
\(756\) −990.170 819.562i −0.0476351 0.0394275i
\(757\) −8137.38 −0.390697 −0.195349 0.980734i \(-0.562584\pi\)
−0.195349 + 0.980734i \(0.562584\pi\)
\(758\) 15753.5 + 13218.8i 0.754874 + 0.633414i
\(759\) −2626.67 8702.61i −0.125615 0.416185i
\(760\) −436.962 2478.14i −0.0208556 0.118278i
\(761\) 11090.5 + 4036.59i