Properties

Label 27.4.e.a.22.6
Level 27
Weight 4
Character 27.22
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 22.6
Character \(\chi\) = 27.22
Dual form 27.4.e.a.16.6

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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 −0.148576 0.988901i \(-0.547469\pi\)
0.948078 + 0.318039i \(0.103024\pi\)
\(3\) 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 −0.937640 0.347607i \(-0.886994\pi\)
−0.494837 + 0.868986i \(0.664772\pi\)
\(6\) 9.18729 12.2831i 0.625116 0.835757i
\(7\) −2.22794 12.6353i −0.120298 0.682242i −0.983990 0.178223i \(-0.942965\pi\)
0.863693 0.504019i \(-0.168146\pi\)
\(8\) 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 −0.418662 0.908142i \(-0.637501\pi\)
−0.904456 + 0.426567i \(0.859723\pi\)
\(12\) −0.207434 3.70462i −0.00499008 0.0891192i
\(13\) 42.4812 + 35.6460i 0.906320 + 0.760493i 0.971415 0.237386i \(-0.0762906\pi\)
−0.0650951 + 0.997879i \(0.520735\pi\)
\(14\) −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 −0.702074 0.712104i \(-0.747742\pi\)
0.967737 + 0.251962i \(0.0810757\pi\)
\(18\) 31.8967 73.0422i 0.417673 0.956456i
\(19\) −3.43235 5.94500i −0.0414439 0.0717830i 0.844559 0.535462i \(-0.179862\pi\)
−0.886003 + 0.463679i \(0.846529\pi\)
\(20\) 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 −0.946195 0.323596i \(-0.895108\pi\)
0.999809 + 0.0195372i \(0.00621927\pi\)
\(24\) 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 −0.858594 0.512656i \(-0.828662\pi\)
0.355775 + 0.934572i \(0.384217\pi\)
\(30\) −75.5394 + 250.275i −0.459718 + 1.52312i
\(31\) 38.1788 216.523i 0.221197 1.25447i −0.648625 0.761108i \(-0.724656\pi\)
0.869822 0.493365i \(-0.164233\pi\)
\(32\) 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 0.258438 + 0.966028i \(0.416792\pi\)
−0.965824 + 0.259200i \(0.916541\pi\)
\(38\) −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 0.482537 0.875876i \(-0.339716\pi\)
−0.778778 + 0.627300i \(0.784160\pi\)
\(42\) −175.669 88.7181i −0.645388 0.325941i
\(43\) −97.2504 35.3962i −0.344896 0.125532i 0.163763 0.986500i \(-0.447637\pi\)
−0.508660 + 0.860968i \(0.669859\pi\)
\(44\) −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 0.771868 + 0.635783i \(0.219323\pi\)
−0.507868 + 0.861435i \(0.669566\pi\)
\(48\) 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 −0.117057 0.993125i \(-0.537346\pi\)
0.548697 + 0.836021i \(0.315124\pi\)
\(60\) 24.9171 + 58.1224i 0.0536131 + 0.125060i
\(61\) 103.563 + 587.336i 0.217375 + 1.23280i 0.876737 + 0.480971i \(0.159716\pi\)
−0.659361 + 0.751826i \(0.729173\pi\)
\(62\) −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 0.281610 0.959529i \(-0.409131\pi\)
−0.896050 + 0.443952i \(0.853576\pi\)
\(68\) −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 −0.918550 0.395305i \(-0.870639\pi\)
0.801619 + 0.597835i \(0.203972\pi\)
\(72\) 483.740 + 321.278i 0.791796 + 0.525875i
\(73\) −213.734 370.197i −0.342680 0.593539i 0.642250 0.766495i \(-0.278001\pi\)
−0.984929 + 0.172957i \(0.944668\pi\)
\(74\) 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 −0.946039 0.324053i \(-0.894954\pi\)
0.154852 + 0.987938i \(0.450510\pi\)
\(80\) −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 −0.163935 0.986471i \(-0.552419\pi\)
0.943017 + 0.332744i \(0.107974\pi\)
\(84\) −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 0.997840 0.0656971i \(-0.0209271\pi\)
−0.555815 + 0.831306i \(0.687594\pi\)
\(90\) −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 −0.431042 0.902332i \(-0.641854\pi\)
−0.910205 + 0.414158i \(0.864076\pi\)
\(98\) 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 −0.795414 0.606067i \(-0.792746\pi\)
0.540157 0.841564i \(-0.318365\pi\)
\(102\) −225.084 525.038i −0.218497 0.509672i
\(103\) 1294.75 471.250i 1.23860 0.450812i 0.362063 0.932154i \(-0.382072\pi\)
0.876533 + 0.481341i \(0.159850\pi\)
\(104\) −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 −0.548743 0.835991i \(-0.684894\pi\)
0.117003 + 0.993132i \(0.462671\pi\)
\(114\) −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 0.567311 0.823504i \(-0.307984\pi\)
−0.996831 + 0.0795541i \(0.974650\pi\)
\(128\) 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 −0.858014 0.513626i \(-0.828302\pi\)
0.981940 0.189192i \(-0.0605868\pi\)
\(132\) −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 −0.507723 0.861520i \(-0.669513\pi\)
0.760267 + 0.649611i \(0.225068\pi\)
\(138\) −357.629 380.772i −0.220604 0.234880i
\(139\) −60.0069 + 340.316i −0.0366167 + 0.207663i −0.997627 0.0688486i \(-0.978067\pi\)
0.961010 + 0.276512i \(0.0891786\pi\)
\(140\) 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 0.557208 0.830373i \(-0.311873\pi\)
−0.721000 + 0.692935i \(0.756317\pi\)
\(150\) −141.903 2534.28i −0.0772420 1.37949i
\(151\) −385.609 140.350i −0.207817 0.0756394i 0.236014 0.971750i \(-0.424159\pi\)
−0.443831 + 0.896110i \(0.646381\pi\)
\(152\) 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 −0.125107 0.992143i \(-0.539927\pi\)
0.541900 + 0.840443i \(0.317705\pi\)
\(158\) −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 0.295485 0.955347i \(-0.404519\pi\)
0.840440 + 0.541904i \(0.182296\pi\)
\(168\) 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 −0.288993 0.957331i \(-0.593321\pi\)
−0.836742 + 0.547597i \(0.815543\pi\)
\(174\) 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 −0.995621 0.0934775i \(-0.970202\pi\)
0.578765 + 0.815495i \(0.303535\pi\)
\(180\) 195.039 + 264.452i 0.0807633 + 0.109506i
\(181\) 2398.26 + 4153.91i 0.984870 + 1.70584i 0.642514 + 0.766274i \(0.277891\pi\)
0.342355 + 0.939571i \(0.388775\pi\)
\(182\) −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 −0.844868 0.534975i \(-0.820321\pi\)
0.380138 + 0.924930i \(0.375876\pi\)
\(192\) −688.415 + 2280.84i −0.258761 + 0.857319i
\(193\) −608.224 + 3449.41i −0.226844 + 1.28650i 0.632284 + 0.774736i \(0.282117\pi\)
−0.859128 + 0.511760i \(0.828994\pi\)
\(194\) −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 0.966929 0.255048i \(-0.0820911\pi\)
−0.704342 + 0.709861i \(0.748758\pi\)
\(198\) −2822.99 + 2965.43i −1.01324 + 1.06436i
\(199\) 125.933 218.123i 0.0448601 0.0777000i −0.842724 0.538347i \(-0.819049\pi\)
0.887584 + 0.460647i \(0.152382\pi\)
\(200\) 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 −0.116471 0.993194i \(-0.537158\pi\)
0.549191 + 0.835697i \(0.314936\pi\)
\(212\) 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 −0.860644 0.509207i \(-0.829939\pi\)
0.634582 0.772856i \(-0.281172\pi\)
\(224\) −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 0.588474 0.808516i \(-0.299729\pi\)
−0.0689072 + 0.997623i \(0.521951\pi\)
\(228\) −21.3120 + 13.9487i −0.00619043 + 0.00405165i
\(229\) −1506.81 1264.36i −0.434815 0.364854i 0.398950 0.916973i \(-0.369375\pi\)
−0.833765 + 0.552119i \(0.813819\pi\)
\(230\) 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 −0.865039 0.501705i \(-0.832706\pi\)
0.867009 + 0.498293i \(0.166040\pi\)
\(234\) 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 −0.999972 0.00746222i \(-0.997625\pi\)
0.942219 + 0.334998i \(0.108736\pi\)
\(240\) −5966.56 + 1399.98i −1.60475 + 0.376534i
\(241\) 3426.22 2874.94i 0.915777 0.768428i −0.0574326 0.998349i \(-0.518291\pi\)
0.973209 + 0.229922i \(0.0738470\pi\)
\(242\) 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 0.982375 + 0.186919i \(0.0598503\pi\)
−0.329311 + 0.944222i \(0.606816\pi\)
\(252\) −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 0.156445 0.987687i \(-0.449996\pi\)
−0.945515 + 0.325579i \(0.894441\pi\)
\(258\) −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 −0.976390 0.216013i \(-0.930695\pi\)
0.843626 0.536931i \(-0.180417\pi\)
\(264\) −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 0.986698 0.162566i \(-0.0519771\pi\)
−0.982793 + 0.184708i \(0.940866\pi\)
\(278\) 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 0.766955 0.641700i \(-0.221771\pi\)
0.175045 + 0.984560i \(0.443993\pi\)
\(282\) 6707.20 + 3387.34i 1.41634 + 0.715295i
\(283\) 4823.80 + 4047.65i 1.01323 + 0.850205i 0.988762 0.149496i \(-0.0477650\pi\)
0.0244722 + 0.999701i \(0.492209\pi\)
\(284\) 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 0.563865 + 0.825867i \(0.309314\pi\)
−0.812323 + 0.583208i \(0.801797\pi\)
\(294\) 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 −0.978734 0.205132i \(-0.934237\pi\)
0.667017 + 0.745042i \(0.267571\pi\)
\(308\) 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 0.759951 0.649980i \(-0.225223\pi\)
−0.508142 + 0.861274i \(0.669667\pi\)
\(312\) 346.479 + 6187.86i 0.0628702 + 1.12282i
\(313\) 4360.89 + 1587.23i 0.787515 + 0.286632i 0.704303 0.709900i \(-0.251260\pi\)
0.0832121 + 0.996532i \(0.473482\pi\)
\(314\) 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 −0.969381 0.245562i \(-0.921027\pi\)
0.826933 0.562301i \(-0.190084\pi\)
\(318\) 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 0.980784 + 0.195095i \(0.0625016\pi\)
−0.854909 + 0.518778i \(0.826387\pi\)
\(332\) −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 −0.0125262 0.999922i \(-0.503987\pi\)
−0.986906 + 0.161299i \(0.948432\pi\)
\(338\) 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 0.923109 + 0.384539i \(0.125639\pi\)
−0.998959 + 0.0456262i \(0.985472\pi\)
\(348\) 260.388 + 277.238i 0.0401099 + 0.0427055i
\(349\) −7163.87 + 6011.20i −1.09878 + 0.921984i −0.997342 0.0728586i \(-0.976788\pi\)
−0.101435 + 0.994842i \(0.532343\pi\)
\(350\) −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 −0.462100 + 0.886828i \(0.652904\pi\)
−0.953598 + 0.301083i \(0.902652\pi\)
\(354\) 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 −0.979904 0.199470i \(-0.936078\pi\)
0.317206 0.948357i \(-0.397255\pi\)
\(360\) −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 −0.0792735 0.996853i \(-0.525260\pi\)
−0.701492 + 0.712678i \(0.747482\pi\)
\(368\) 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 −0.397503 0.917601i \(-0.630123\pi\)
0.285318 + 0.958433i \(0.407901\pi\)
\(374\) −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 −0.446726 0.894671i \(-0.647410\pi\)
0.232871 + 0.972508i \(0.425188\pi\)
\(384\) 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 0.256903 0.966437i \(-0.417298\pi\)
−0.424415 + 0.905468i \(0.639520\pi\)
\(390\) −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 0.999832 + 0.0183107i \(0.00582881\pi\)
−0.484059 + 0.875036i \(0.660838\pi\)
\(398\) −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 −0.895013 0.446039i \(-0.852834\pi\)
0.993592 0.113027i \(-0.0360547\pi\)
\(402\) −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 −0.993848 0.110751i \(-0.964674\pi\)
0.971791 + 0.235844i \(0.0757855\pi\)
\(410\) 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 0.331734 0.943373i \(-0.392366\pi\)
−0.871436 + 0.490509i \(0.836811\pi\)
\(420\) 678.880 444.328i 0.0788713 0.0516214i
\(421\) −10162.4 3698.81i −1.17645 0.428193i −0.321503 0.946909i \(-0.604188\pi\)
−0.854947 + 0.518716i \(0.826410\pi\)
\(422\) 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 0.992804 + 0.119750i \(0.0382094\pi\)
−0.891974 + 0.452088i \(0.850679\pi\)
\(440\) 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 0.222956 0.974829i \(-0.428429\pi\)
−0.455814 + 0.890075i \(0.650652\pi\)
\(444\) 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 0.0582440 + 0.998302i \(0.481450\pi\)
−0.893677 + 0.448710i \(0.851883\pi\)
\(450\) −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 −0.0673635 0.997729i \(-0.521459\pi\)
0.970873 + 0.239594i \(0.0770143\pi\)
\(458\) −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 −0.208343 0.978056i \(-0.566807\pi\)
0.927019 + 0.375015i \(0.122363\pi\)
\(462\) 6921.02 + 7368.90i 0.696959 + 0.742061i
\(463\) −1884.54 + 10687.8i −0.189162 + 1.07279i 0.731327 + 0.682027i \(0.238901\pi\)
−0.920490 + 0.390767i \(0.872210\pi\)
\(464\) −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 −0.954863 0.297046i \(-0.903999\pi\)
0.220182 0.975459i \(-0.429335\pi\)
\(468\) 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 0.954438 + 0.298409i \(0.0964559\pi\)
−0.794817 + 0.606850i \(0.792433\pi\)
\(480\) −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 −0.998355 0.0573317i \(-0.981741\pi\)
−0.727932 + 0.685649i \(0.759519\pi\)
\(492\) −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 0.837403 0.546586i \(-0.184073\pi\)
−0.392868 + 0.919595i \(0.628517\pi\)
\(500\) 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 −0.533702 0.845673i \(-0.679200\pi\)
0.999225 + 0.0393631i \(0.0125329\pi\)
\(504\) 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 −0.958158 0.286241i \(-0.907594\pi\)
0.998274 + 0.0587302i \(0.0187052\pi\)
\(510\) 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 0.997396 0.0721144i \(-0.0229747\pi\)
−0.561151 + 0.827713i \(0.689641\pi\)
\(522\) 2308.09 + 7837.34i 0.193530 + 0.657147i
\(523\) 3083.67 5341.08i 0.257820 0.446557i −0.707838 0.706375i \(-0.750329\pi\)
0.965658 + 0.259818i \(0.0836626\pi\)
\(524\) −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 0.900384 + 0.435096i \(0.143286\pi\)
−0.697272 + 0.716806i \(0.745603\pi\)
\(548\) −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 −0.707149 0.707065i \(-0.750019\pi\)
0.965911 + 0.258876i \(0.0833522\pi\)
\(558\) −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 −0.891820 0.452390i \(-0.850572\pi\)
0.992763 0.120087i \(-0.0383173\pi\)
\(564\) 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 0.514448 0.857522i \(-0.327997\pi\)
0.933827 0.357725i \(-0.116447\pi\)
\(570\) 1747.16 409.949i 0.128387 0.0301243i
\(571\) 3548.33 20123.6i 0.260058 1.47486i −0.522691 0.852522i \(-0.675072\pi\)
0.782749 0.622338i \(-0.213817\pi\)
\(572\) −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 −0.440697 0.897656i \(-0.645269\pi\)
0.997741 0.0671730i \(-0.0213980\pi\)
\(578\) 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 0.984646 + 0.174562i \(0.0558508\pi\)
−0.865561 + 0.500803i \(0.833038\pi\)
\(588\) −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 −0.562601 0.826729i \(-0.690199\pi\)
0.100434 + 0.994944i \(0.467977\pi\)
\(600\) 18363.6 + 2188.15i 1.24948 + 0.148885i
\(601\) −3059.16 17349.4i −0.207630 1.17753i −0.893246 0.449567i \(-0.851578\pi\)
0.685616 0.727963i \(-0.259533\pi\)
\(602\) 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 0.476865 0.878977i \(-0.341773\pi\)
−0.782816 + 0.622253i \(0.786218\pi\)
\(608\) −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 0.516949 0.856016i \(-0.327068\pi\)
−0.999806 + 0.0196834i \(0.993734\pi\)
\(614\) 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 0.846859 + 0.531817i \(0.178491\pi\)
−0.977679 + 0.210102i \(0.932620\pi\)
\(618\) 6106.84 20233.0i 0.397497 1.31697i
\(619\) −8605.90 + 7221.21i −0.558805 + 0.468893i −0.877910 0.478826i \(-0.841062\pi\)
0.319104 + 0.947720i \(0.396618\pi\)
\(620\) 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 −0.640718 0.767776i \(-0.721363\pi\)
0.985273 + 0.170990i \(0.0546966\pi\)
\(632\) −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 0.610426 + 0.792073i \(0.290998\pi\)
−0.302708 + 0.953083i \(0.597891\pi\)
\(642\) 12712.1 16995.6i 0.781474 1.04480i
\(643\) 12633.9 4598.35i 0.774853 0.282023i 0.0758283 0.997121i \(-0.475840\pi\)
0.699025 + 0.715097i \(0.253618\pi\)
\(644\) −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 −0.244356 0.969685i \(-0.578577\pi\)
0.436114 + 0.899891i \(0.356354\pi\)
\(654\) −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 0.615870 0.787848i \(-0.288805\pi\)
−0.0346356 + 0.999400i \(0.511027\pi\)
\(660\) −181.609 3243.41i −0.0107108 0.191287i
\(661\) 8080.71 + 6780.52i 0.475496 + 0.398989i 0.848795 0.528723i \(-0.177329\pi\)
−0.373298 + 0.927711i \(0.621773\pi\)
\(662\) 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 0.0878085 0.996137i \(-0.472014\pi\)
0.996252 + 0.0865029i \(0.0275692\pi\)
\(674\) −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 −0.732938 0.680295i \(-0.761852\pi\)
0.542687 + 0.839935i \(0.317407\pi\)
\(678\) −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 −0.786195 0.617979i \(-0.787952\pi\)
−0.142088 0.989854i \(-0.545382\pi\)
\(684\) −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 0.156105 0.987740i \(-0.450106\pi\)
−0.515324 + 0.856996i \(0.672328\pi\)
\(692\) −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 −0.594748 0.803913i \(-0.702748\pi\)
0.283926 0.958846i \(-0.408363\pi\)
\(710\) −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 −0.761809 0.647802i \(-0.775688\pi\)
0.941917 + 0.335845i \(0.109022\pi\)
\(720\) −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 −0.966172 0.257898i \(-0.916970\pi\)
0.0862056 + 0.996277i \(0.472526\pi\)
\(728\) 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 0.865901 + 0.500216i \(0.166746\pi\)
−0.984764 + 0.173894i \(0.944365\pi\)
\(734\) −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 −0.936601 0.350398i \(-0.886046\pi\)
0.771754 + 0.635922i \(0.219380\pi\)
\(740\) −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 0.251730 0.967798i \(-0.419001\pi\)
−0.909382 + 0.415962i \(0.863445\pi\)
\(744\) 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 0.518150 0.855290i \(-0.326621\pi\)
0.946696 + 0.322130i \(0.104399\pi\)
\(752\) −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
\(761\)