Properties

Label 108.4.l.a.59.7
Level 108
Weight 4
Character 108.59
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.7
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.63308 + 1.03289i) q^{2} +(5.16641 - 0.555160i) q^{3} +(5.86626 - 5.43939i) q^{4} +(6.86537 + 18.8624i) q^{5} +(-13.0302 + 6.79813i) q^{6} +(-18.0159 + 3.17669i) q^{7} +(-9.82807 + 20.3816i) q^{8} +(26.3836 - 5.73637i) q^{9} +O(q^{10})\) \(q+(-2.63308 + 1.03289i) q^{2} +(5.16641 - 0.555160i) q^{3} +(5.86626 - 5.43939i) q^{4} +(6.86537 + 18.8624i) q^{5} +(-13.0302 + 6.79813i) q^{6} +(-18.0159 + 3.17669i) q^{7} +(-9.82807 + 20.3816i) q^{8} +(26.3836 - 5.73637i) q^{9} +(-37.5600 - 42.5752i) q^{10} +(-8.64935 - 3.14811i) q^{11} +(27.2878 - 31.3588i) q^{12} +(23.2073 + 19.4732i) q^{13} +(44.1562 - 26.9730i) q^{14} +(45.9410 + 93.6397i) q^{15} +(4.82613 - 63.8178i) q^{16} +(26.8437 + 15.4982i) q^{17} +(-63.5452 + 42.3558i) q^{18} +(-113.107 + 65.3021i) q^{19} +(142.874 + 73.3087i) q^{20} +(-91.3139 + 26.4138i) q^{21} +(26.0261 - 0.644623i) q^{22} +(9.01251 - 51.1125i) q^{23} +(-39.4608 + 110.756i) q^{24} +(-212.903 + 178.647i) q^{25} +(-81.2204 - 27.3040i) q^{26} +(133.124 - 44.2835i) q^{27} +(-88.4067 + 116.631i) q^{28} +(166.309 + 198.199i) q^{29} +(-217.686 - 199.109i) q^{30} +(176.062 + 31.0446i) q^{31} +(53.2093 + 173.022i) q^{32} +(-46.4338 - 11.4626i) q^{33} +(-86.6897 - 13.0815i) q^{34} +(-183.606 - 318.014i) q^{35} +(123.571 - 177.162i) q^{36} +(134.346 - 232.694i) q^{37} +(230.369 - 288.773i) q^{38} +(130.709 + 87.7228i) q^{39} +(-451.920 - 45.4542i) q^{40} +(-36.5595 + 43.5699i) q^{41} +(213.155 - 163.867i) q^{42} +(120.491 - 331.047i) q^{43} +(-67.8632 + 28.5795i) q^{44} +(289.335 + 458.277i) q^{45} +(29.0630 + 143.892i) q^{46} +(41.3538 + 234.529i) q^{47} +(-10.4953 - 332.388i) q^{48} +(-7.83396 + 2.85133i) q^{49} +(376.068 - 690.297i) q^{50} +(147.290 + 65.1676i) q^{51} +(242.062 - 11.9983i) q^{52} -424.312i q^{53} +(-304.786 + 254.105i) q^{54} -184.761i q^{55} +(112.315 - 398.413i) q^{56} +(-548.102 + 400.170i) q^{57} +(-642.623 - 350.095i) q^{58} +(-79.6208 + 28.9796i) q^{59} +(778.845 + 299.425i) q^{60} +(-143.475 - 813.684i) q^{61} +(-495.653 + 100.111i) q^{62} +(-457.101 + 187.158i) q^{63} +(-318.818 - 400.623i) q^{64} +(-207.986 + 571.436i) q^{65} +(134.104 - 17.7790i) q^{66} +(328.061 - 390.968i) q^{67} +(241.773 - 55.0967i) q^{68} +(18.1867 - 269.072i) q^{69} +(811.924 + 647.713i) q^{70} +(37.9101 - 65.6623i) q^{71} +(-142.383 + 594.117i) q^{72} +(-340.341 - 589.488i) q^{73} +(-113.396 + 751.467i) q^{74} +(-1000.77 + 1041.16i) q^{75} +(-308.310 + 998.310i) q^{76} +(165.826 + 29.2396i) q^{77} +(-434.776 - 95.9733i) q^{78} +(756.546 + 901.616i) q^{79} +(1236.89 - 347.100i) q^{80} +(663.188 - 302.692i) q^{81} +(51.2612 - 152.485i) q^{82} +(163.130 - 136.882i) q^{83} +(-391.997 + 651.642i) q^{84} +(-108.042 + 612.739i) q^{85} +(24.6725 + 996.130i) q^{86} +(969.251 + 931.649i) q^{87} +(149.170 - 145.348i) q^{88} +(719.406 - 415.349i) q^{89} +(-1235.19 - 907.829i) q^{90} +(-479.960 - 277.105i) q^{91} +(-225.151 - 348.862i) q^{92} +(926.846 + 62.6461i) q^{93} +(-351.131 - 574.820i) q^{94} +(-2008.27 - 1685.14i) q^{95} +(370.956 + 864.365i) q^{96} +(571.376 + 207.964i) q^{97} +(17.6824 - 15.5994i) q^{98} +(-246.260 - 33.4425i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.63308 + 1.03289i −0.930936 + 0.365183i
\(3\) 5.16641 0.555160i 0.994276 0.106841i
\(4\) 5.86626 5.43939i 0.733283 0.679923i
\(5\) 6.86537 + 18.8624i 0.614057 + 1.68711i 0.721081 + 0.692851i \(0.243646\pi\)
−0.107024 + 0.994256i \(0.534132\pi\)
\(6\) −13.0302 + 6.79813i −0.886591 + 0.462554i
\(7\) −18.0159 + 3.17669i −0.972766 + 0.171525i −0.637375 0.770554i \(-0.719980\pi\)
−0.335391 + 0.942079i \(0.608869\pi\)
\(8\) −9.82807 + 20.3816i −0.434343 + 0.900747i
\(9\) 26.3836 5.73637i 0.977170 0.212458i
\(10\) −37.5600 42.5752i −1.18775 1.34635i
\(11\) −8.64935 3.14811i −0.237080 0.0862900i 0.220748 0.975331i \(-0.429150\pi\)
−0.457828 + 0.889041i \(0.651372\pi\)
\(12\) 27.2878 31.3588i 0.656443 0.754376i
\(13\) 23.2073 + 19.4732i 0.495118 + 0.415454i 0.855856 0.517214i \(-0.173031\pi\)
−0.360738 + 0.932667i \(0.617475\pi\)
\(14\) 44.1562 26.9730i 0.842945 0.514916i
\(15\) 45.9410 + 93.6397i 0.790794 + 1.61184i
\(16\) 4.82613 63.8178i 0.0754083 0.997153i
\(17\) 26.8437 + 15.4982i 0.382974 + 0.221110i 0.679111 0.734035i \(-0.262365\pi\)
−0.296137 + 0.955145i \(0.595699\pi\)
\(18\) −63.5452 + 42.3558i −0.832097 + 0.554631i
\(19\) −113.107 + 65.3021i −1.36571 + 0.788491i −0.990376 0.138400i \(-0.955804\pi\)
−0.375330 + 0.926891i \(0.622471\pi\)
\(20\) 142.874 + 73.3087i 1.59738 + 0.819616i
\(21\) −91.3139 + 26.4138i −0.948872 + 0.274474i
\(22\) 26.0261 0.644623i 0.252218 0.00624701i
\(23\) 9.01251 51.1125i 0.0817060 0.463378i −0.916313 0.400463i \(-0.868849\pi\)
0.998019 0.0629148i \(-0.0200396\pi\)
\(24\) −39.4608 + 110.756i −0.335621 + 0.941997i
\(25\) −212.903 + 178.647i −1.70322 + 1.42917i
\(26\) −81.2204 27.3040i −0.612640 0.205952i
\(27\) 133.124 44.2835i 0.948878 0.315643i
\(28\) −88.4067 + 116.631i −0.596689 + 0.787183i
\(29\) 166.309 + 198.199i 1.06492 + 1.26912i 0.961594 + 0.274477i \(0.0885048\pi\)
0.103328 + 0.994647i \(0.467051\pi\)
\(30\) −217.686 199.109i −1.32480 1.21174i
\(31\) 176.062 + 31.0446i 1.02006 + 0.179863i 0.658574 0.752516i \(-0.271160\pi\)
0.361482 + 0.932379i \(0.382271\pi\)
\(32\) 53.2093 + 173.022i 0.293943 + 0.955823i
\(33\) −46.4338 11.4626i −0.244942 0.0604663i
\(34\) −86.6897 13.0815i −0.437270 0.0659838i
\(35\) −183.606 318.014i −0.886715 1.53583i
\(36\) 123.571 177.162i 0.572087 0.820193i
\(37\) 134.346 232.694i 0.596927 1.03391i −0.396345 0.918102i \(-0.629721\pi\)
0.993272 0.115806i \(-0.0369452\pi\)
\(38\) 230.369 288.773i 0.983442 1.23277i
\(39\) 130.709 + 87.7228i 0.536672 + 0.360177i
\(40\) −451.920 45.4542i −1.78637 0.179674i
\(41\) −36.5595 + 43.5699i −0.139259 + 0.165963i −0.831166 0.556024i \(-0.812326\pi\)
0.691907 + 0.721987i \(0.256771\pi\)
\(42\) 213.155 163.867i 0.783106 0.602030i
\(43\) 120.491 331.047i 0.427320 1.17405i −0.520113 0.854097i \(-0.674110\pi\)
0.947433 0.319954i \(-0.103668\pi\)
\(44\) −67.8632 + 28.5795i −0.232517 + 0.0979211i
\(45\) 289.335 + 458.277i 0.958478 + 1.51813i
\(46\) 29.0630 + 143.892i 0.0931545 + 0.461213i
\(47\) 41.3538 + 234.529i 0.128342 + 0.727863i 0.979267 + 0.202575i \(0.0649311\pi\)
−0.850925 + 0.525288i \(0.823958\pi\)
\(48\) −10.4953 332.388i −0.0315597 0.999502i
\(49\) −7.83396 + 2.85133i −0.0228395 + 0.00831291i
\(50\) 376.068 690.297i 1.06368 1.95245i
\(51\) 147.290 + 65.1676i 0.404405 + 0.178927i
\(52\) 242.062 11.9983i 0.645538 0.0319974i
\(53\) 424.312i 1.09969i −0.835265 0.549847i \(-0.814686\pi\)
0.835265 0.549847i \(-0.185314\pi\)
\(54\) −304.786 + 254.105i −0.768077 + 0.640358i
\(55\) 184.761i 0.452966i
\(56\) 112.315 398.413i 0.268014 0.950717i
\(57\) −548.102 + 400.170i −1.27365 + 0.929890i
\(58\) −642.623 350.095i −1.45484 0.792582i
\(59\) −79.6208 + 28.9796i −0.175691 + 0.0639462i −0.428368 0.903605i \(-0.640911\pi\)
0.252677 + 0.967551i \(0.418689\pi\)
\(60\) 778.845 + 299.425i 1.67581 + 0.644259i
\(61\) −143.475 813.684i −0.301148 1.70790i −0.641104 0.767454i \(-0.721523\pi\)
0.339956 0.940441i \(-0.389588\pi\)
\(62\) −495.653 + 100.111i −1.01529 + 0.205066i
\(63\) −457.101 + 187.158i −0.914116 + 0.374281i
\(64\) −318.818 400.623i −0.622692 0.782467i
\(65\) −207.986 + 571.436i −0.396884 + 1.09043i
\(66\) 134.104 17.7790i 0.250107 0.0331583i
\(67\) 328.061 390.968i 0.598195 0.712901i −0.378964 0.925411i \(-0.623720\pi\)
0.977159 + 0.212511i \(0.0681640\pi\)
\(68\) 241.773 55.0967i 0.431166 0.0982566i
\(69\) 18.1867 269.072i 0.0317308 0.469455i
\(70\) 811.924 + 647.713i 1.38633 + 1.10595i
\(71\) 37.9101 65.6623i 0.0633677 0.109756i −0.832601 0.553873i \(-0.813149\pi\)
0.895969 + 0.444117i \(0.146483\pi\)
\(72\) −142.383 + 594.117i −0.233056 + 0.972463i
\(73\) −340.341 589.488i −0.545670 0.945127i −0.998564 0.0535635i \(-0.982942\pi\)
0.452895 0.891564i \(-0.350391\pi\)
\(74\) −113.396 + 751.467i −0.178136 + 1.18049i
\(75\) −1000.77 + 1041.16i −1.54078 + 1.60297i
\(76\) −308.310 + 998.310i −0.465336 + 1.50676i
\(77\) 165.826 + 29.2396i 0.245424 + 0.0432749i
\(78\) −434.776 95.9733i −0.631137 0.139318i
\(79\) 756.546 + 901.616i 1.07744 + 1.28405i 0.956609 + 0.291374i \(0.0941125\pi\)
0.120834 + 0.992673i \(0.461443\pi\)
\(80\) 1236.89 347.100i 1.72861 0.485087i
\(81\) 663.188 302.692i 0.909723 0.415215i
\(82\) 51.2612 152.485i 0.0690348 0.205356i
\(83\) 163.130 136.882i 0.215733 0.181022i −0.528517 0.848923i \(-0.677252\pi\)
0.744250 + 0.667901i \(0.232807\pi\)
\(84\) −391.997 + 651.642i −0.509171 + 0.846428i
\(85\) −108.042 + 612.739i −0.137869 + 0.781892i
\(86\) 24.6725 + 996.130i 0.0309360 + 1.24902i
\(87\) 969.251 + 931.649i 1.19442 + 1.14808i
\(88\) 149.170 145.348i 0.180699 0.176070i
\(89\) 719.406 415.349i 0.856819 0.494685i −0.00612665 0.999981i \(-0.501950\pi\)
0.862946 + 0.505296i \(0.168617\pi\)
\(90\) −1235.19 907.829i −1.44668 1.06326i
\(91\) −479.960 277.105i −0.552895 0.319214i
\(92\) −225.151 348.862i −0.255148 0.395341i
\(93\) 926.846 + 62.6461i 1.03343 + 0.0698506i
\(94\) −351.131 574.820i −0.385281 0.630725i
\(95\) −2008.27 1685.14i −2.16889 1.81991i
\(96\) 370.956 + 864.365i 0.394381 + 0.918947i
\(97\) 571.376 + 207.964i 0.598087 + 0.217686i 0.623283 0.781997i \(-0.285799\pi\)
−0.0251955 + 0.999683i \(0.508021\pi\)
\(98\) 17.6824 15.5994i 0.0182264 0.0160794i
\(99\) −246.260 33.4425i −0.250000 0.0339505i
\(100\) −277.216 + 2206.05i −0.277216 + 2.20605i
\(101\) −575.055 + 101.398i −0.566536 + 0.0998955i −0.449577 0.893241i \(-0.648425\pi\)
−0.116958 + 0.993137i \(0.537314\pi\)
\(102\) −455.137 19.4575i −0.441817 0.0188880i
\(103\) −193.649 532.048i −0.185251 0.508973i 0.811951 0.583725i \(-0.198406\pi\)
−0.997202 + 0.0747525i \(0.976183\pi\)
\(104\) −624.977 + 281.617i −0.589270 + 0.265527i
\(105\) −1125.13 1541.06i −1.04573 1.43231i
\(106\) 438.269 + 1117.25i 0.401589 + 1.02374i
\(107\) −865.733 −0.782183 −0.391091 0.920352i \(-0.627902\pi\)
−0.391091 + 0.920352i \(0.627902\pi\)
\(108\) 540.065 983.891i 0.481183 0.876620i
\(109\) 500.907 0.440167 0.220084 0.975481i \(-0.429367\pi\)
0.220084 + 0.975481i \(0.429367\pi\)
\(110\) 190.838 + 486.491i 0.165415 + 0.421682i
\(111\) 564.903 1276.77i 0.483047 1.09177i
\(112\) 115.782 + 1165.06i 0.0976819 + 0.982931i
\(113\) 140.916 + 387.162i 0.117312 + 0.322311i 0.984426 0.175797i \(-0.0562503\pi\)
−0.867115 + 0.498109i \(0.834028\pi\)
\(114\) 1029.87 1619.81i 0.846103 1.33078i
\(115\) 1025.98 180.908i 0.831940 0.146694i
\(116\) 2053.69 + 258.070i 1.64380 + 0.206562i
\(117\) 723.997 + 380.648i 0.572081 + 0.300777i
\(118\) 179.716 158.546i 0.140205 0.123689i
\(119\) −532.846 193.940i −0.410470 0.149399i
\(120\) −2360.04 + 16.0525i −1.79534 + 0.0122116i
\(121\) −954.704 801.092i −0.717284 0.601872i
\(122\) 1218.23 + 1994.31i 0.904043 + 1.47997i
\(123\) −164.693 + 245.396i −0.120731 + 0.179891i
\(124\) 1201.69 775.556i 0.870284 0.561669i
\(125\) −2658.40 1534.83i −1.90220 1.09823i
\(126\) 1010.27 964.939i 0.714303 0.682251i
\(127\) 97.1908 56.1131i 0.0679078 0.0392066i −0.465662 0.884963i \(-0.654184\pi\)
0.533569 + 0.845756i \(0.320850\pi\)
\(128\) 1253.28 + 725.569i 0.865430 + 0.501030i
\(129\) 438.724 1777.22i 0.299438 1.21299i
\(130\) −42.5883 1719.47i −0.0287326 1.16006i
\(131\) −187.758 + 1064.83i −0.125225 + 0.710186i 0.855949 + 0.517060i \(0.172974\pi\)
−0.981174 + 0.193126i \(0.938137\pi\)
\(132\) −334.743 + 185.329i −0.220724 + 0.122203i
\(133\) 1830.27 1535.78i 1.19327 1.00127i
\(134\) −459.985 + 1368.30i −0.296542 + 0.882115i
\(135\) 1749.24 + 2207.02i 1.11519 + 1.40704i
\(136\) −579.700 + 394.800i −0.365506 + 0.248925i
\(137\) 353.605 + 421.410i 0.220515 + 0.262799i 0.864948 0.501861i \(-0.167351\pi\)
−0.644433 + 0.764661i \(0.722907\pi\)
\(138\) 230.035 + 727.273i 0.141898 + 0.448620i
\(139\) −254.865 44.9396i −0.155521 0.0274225i 0.0953456 0.995444i \(-0.469604\pi\)
−0.250866 + 0.968022i \(0.580715\pi\)
\(140\) −2806.88 866.854i −1.69446 0.523304i
\(141\) 343.852 + 1188.71i 0.205373 + 0.709985i
\(142\) −31.9985 + 212.051i −0.0189102 + 0.125317i
\(143\) −139.424 241.490i −0.0815330 0.141219i
\(144\) −238.752 1711.43i −0.138166 0.990409i
\(145\) −2596.74 + 4497.69i −1.48723 + 2.57595i
\(146\) 1505.02 + 1200.63i 0.853128 + 0.680584i
\(147\) −38.8905 + 19.0802i −0.0218206 + 0.0107055i
\(148\) −477.603 2095.80i −0.265262 1.16401i
\(149\) −958.006 + 1141.71i −0.526731 + 0.627734i −0.962159 0.272490i \(-0.912153\pi\)
0.435428 + 0.900224i \(0.356597\pi\)
\(150\) 1559.70 3775.14i 0.848991 2.05492i
\(151\) 362.094 994.845i 0.195144 0.536154i −0.803070 0.595884i \(-0.796802\pi\)
0.998215 + 0.0597298i \(0.0190239\pi\)
\(152\) −219.342 2947.08i −0.117046 1.57263i
\(153\) 797.137 + 254.913i 0.421207 + 0.134696i
\(154\) −466.836 + 94.2903i −0.244277 + 0.0493385i
\(155\) 623.157 + 3534.10i 0.322924 + 1.83139i
\(156\) 1243.93 196.371i 0.638425 0.100784i
\(157\) 876.906 319.168i 0.445762 0.162244i −0.109379 0.994000i \(-0.534886\pi\)
0.555142 + 0.831756i \(0.312664\pi\)
\(158\) −2923.32 1592.60i −1.47194 0.801902i
\(159\) −235.561 2192.17i −0.117492 1.09340i
\(160\) −2898.32 + 2191.52i −1.43208 + 1.08284i
\(161\) 949.466i 0.464773i
\(162\) −1433.58 + 1482.02i −0.695264 + 0.718754i
\(163\) 253.931i 0.122021i 0.998137 + 0.0610104i \(0.0194323\pi\)
−0.998137 + 0.0610104i \(0.980568\pi\)
\(164\) 22.5259 + 454.454i 0.0107255 + 0.216383i
\(165\) −102.572 954.550i −0.0483951 0.450373i
\(166\) −288.150 + 528.919i −0.134728 + 0.247302i
\(167\) 2815.29 1024.68i 1.30451 0.474804i 0.406050 0.913851i \(-0.366906\pi\)
0.898464 + 0.439046i \(0.144684\pi\)
\(168\) 359.084 2120.72i 0.164905 0.973910i
\(169\) −222.134 1259.78i −0.101108 0.573410i
\(170\) −348.409 1724.99i −0.157187 0.778239i
\(171\) −2609.56 + 2371.72i −1.16701 + 1.06065i
\(172\) −1093.86 2597.41i −0.484919 1.15146i
\(173\) 366.028 1005.65i 0.160859 0.441956i −0.832911 0.553407i \(-0.813327\pi\)
0.993770 + 0.111451i \(0.0355497\pi\)
\(174\) −3514.41 1451.98i −1.53119 0.632610i
\(175\) 3268.13 3894.80i 1.41170 1.68240i
\(176\) −242.648 + 536.789i −0.103922 + 0.229898i
\(177\) −395.266 + 193.923i −0.167853 + 0.0823510i
\(178\) −1465.25 + 1836.72i −0.616993 + 0.773415i
\(179\) −493.979 + 855.597i −0.206267 + 0.357264i −0.950536 0.310616i \(-0.899465\pi\)
0.744269 + 0.667880i \(0.232798\pi\)
\(180\) 4190.06 + 1114.57i 1.73505 + 0.461528i
\(181\) 1062.59 + 1840.46i 0.436363 + 0.755802i 0.997406 0.0719843i \(-0.0229331\pi\)
−0.561043 + 0.827787i \(0.689600\pi\)
\(182\) 1549.99 + 233.893i 0.631281 + 0.0952601i
\(183\) −1192.97 4124.18i −0.481897 1.66594i
\(184\) 953.178 + 686.026i 0.381898 + 0.274862i
\(185\) 5311.50 + 936.561i 2.11086 + 0.372202i
\(186\) −2505.17 + 792.380i −0.987570 + 0.312366i
\(187\) −183.391 218.556i −0.0717158 0.0854675i
\(188\) 1518.29 + 1150.87i 0.589002 + 0.446467i
\(189\) −2257.67 + 1220.70i −0.868896 + 0.469803i
\(190\) 7028.53 + 2362.79i 2.68370 + 0.902183i
\(191\) −647.747 + 543.525i −0.245389 + 0.205906i −0.757184 0.653202i \(-0.773425\pi\)
0.511795 + 0.859108i \(0.328981\pi\)
\(192\) −1869.56 1892.79i −0.702727 0.711460i
\(193\) −419.015 + 2376.35i −0.156277 + 0.886289i 0.801333 + 0.598219i \(0.204125\pi\)
−0.957609 + 0.288070i \(0.906986\pi\)
\(194\) −1719.29 + 42.5838i −0.636276 + 0.0157595i
\(195\) −757.301 + 3067.74i −0.278110 + 1.12659i
\(196\) −30.4466 + 59.3386i −0.0110957 + 0.0216248i
\(197\) −3434.50 + 1982.91i −1.24212 + 0.717139i −0.969526 0.244990i \(-0.921215\pi\)
−0.272595 + 0.962129i \(0.587882\pi\)
\(198\) 682.965 166.303i 0.245132 0.0596901i
\(199\) 3791.18 + 2188.84i 1.35050 + 0.779712i 0.988319 0.152396i \(-0.0486991\pi\)
0.362181 + 0.932108i \(0.382032\pi\)
\(200\) −1548.68 6095.04i −0.547541 2.15492i
\(201\) 1477.85 2202.03i 0.518604 0.772732i
\(202\) 1409.43 860.959i 0.490928 0.299885i
\(203\) −3625.81 3042.42i −1.25361 1.05190i
\(204\) 1218.51 418.875i 0.418200 0.143760i
\(205\) −1072.83 390.478i −0.365510 0.133035i
\(206\) 1059.44 + 1200.91i 0.358325 + 0.406171i
\(207\) −55.4176 1400.23i −0.0186077 0.470158i
\(208\) 1354.74 1387.06i 0.451607 0.462380i
\(209\) 1183.88 208.749i 0.391820 0.0690885i
\(210\) 4554.32 + 2895.61i 1.49656 + 0.951504i
\(211\) 379.245 + 1041.97i 0.123736 + 0.339962i 0.986059 0.166397i \(-0.0532133\pi\)
−0.862323 + 0.506359i \(0.830991\pi\)
\(212\) −2308.00 2489.13i −0.747708 0.806387i
\(213\) 159.406 360.284i 0.0512786 0.115898i
\(214\) 2279.55 894.209i 0.728162 0.285640i
\(215\) 7071.57 2.24315
\(216\) −405.781 + 3148.50i −0.127824 + 0.991797i
\(217\) −3270.54 −1.02313
\(218\) −1318.93 + 517.384i −0.409768 + 0.160742i
\(219\) −2085.60 2856.59i −0.643524 0.881418i
\(220\) −1004.99 1083.86i −0.307982 0.332152i
\(221\) 321.169 + 882.405i 0.0977564 + 0.268583i
\(222\) −168.666 + 3945.34i −0.0509917 + 1.19277i
\(223\) −4847.74 + 854.787i −1.45573 + 0.256685i −0.844836 0.535025i \(-0.820302\pi\)
−0.610897 + 0.791710i \(0.709191\pi\)
\(224\) −1508.25 2948.12i −0.449885 0.879374i
\(225\) −4592.36 + 5934.63i −1.36070 + 1.75841i
\(226\) −770.940 873.881i −0.226912 0.257211i
\(227\) 1462.84 + 532.430i 0.427718 + 0.155677i 0.546904 0.837195i \(-0.315806\pi\)
−0.119186 + 0.992872i \(0.538028\pi\)
\(228\) −1038.63 + 5328.84i −0.301689 + 1.54785i
\(229\) 1329.59 + 1115.66i 0.383676 + 0.321942i 0.814143 0.580664i \(-0.197207\pi\)
−0.430468 + 0.902606i \(0.641651\pi\)
\(230\) −2514.63 + 1536.07i −0.720913 + 0.440373i
\(231\) 872.959 + 59.0039i 0.248643 + 0.0168059i
\(232\) −5674.10 + 1441.72i −1.60570 + 0.407990i
\(233\) −3856.85 2226.75i −1.08442 0.626092i −0.152337 0.988329i \(-0.548680\pi\)
−0.932086 + 0.362237i \(0.882013\pi\)
\(234\) −2299.51 254.467i −0.642410 0.0710898i
\(235\) −4139.88 + 2390.16i −1.14917 + 0.663476i
\(236\) −309.446 + 603.091i −0.0853525 + 0.166347i
\(237\) 4409.17 + 4238.11i 1.20846 + 1.16158i
\(238\) 1603.35 39.7122i 0.436679 0.0108158i
\(239\) −1100.08 + 6238.86i −0.297733 + 1.68853i 0.358148 + 0.933665i \(0.383408\pi\)
−0.655881 + 0.754864i \(0.727703\pi\)
\(240\) 6197.60 2479.93i 1.66689 0.666996i
\(241\) 4648.15 3900.26i 1.24238 1.04248i 0.245047 0.969511i \(-0.421197\pi\)
0.997334 0.0729702i \(-0.0232478\pi\)
\(242\) 3341.26 + 1123.24i 0.887538 + 0.298365i
\(243\) 3258.26 1932.01i 0.860154 0.510034i
\(244\) −5267.60 3992.88i −1.38206 1.04761i
\(245\) −107.566 128.192i −0.0280495 0.0334281i
\(246\) 180.183 816.260i 0.0466993 0.211556i
\(247\) −3896.53 687.064i −1.00377 0.176991i
\(248\) −2363.09 + 3283.32i −0.605066 + 0.840691i
\(249\) 766.805 797.754i 0.195158 0.203035i
\(250\) 8585.10 + 1295.49i 2.17188 + 0.327736i
\(251\) −1039.87 1801.11i −0.261499 0.452929i 0.705142 0.709066i \(-0.250883\pi\)
−0.966640 + 0.256137i \(0.917550\pi\)
\(252\) −1663.45 + 3584.27i −0.415824 + 0.895983i
\(253\) −238.860 + 413.718i −0.0593557 + 0.102807i
\(254\) −197.953 + 248.138i −0.0489002 + 0.0612976i
\(255\) −218.023 + 3225.64i −0.0535417 + 0.792147i
\(256\) −4049.42 615.986i −0.988627 0.150387i
\(257\) 1310.55 1561.85i 0.318092 0.379087i −0.583178 0.812344i \(-0.698191\pi\)
0.901271 + 0.433257i \(0.142636\pi\)
\(258\) 680.479 + 5132.72i 0.164205 + 1.23856i
\(259\) −1681.16 + 4618.96i −0.403330 + 1.10814i
\(260\) 1888.16 + 4483.51i 0.450380 + 1.06944i
\(261\) 5524.76 + 4275.19i 1.31025 + 1.01390i
\(262\) −605.470 2997.71i −0.142771 0.706868i
\(263\) −1269.43 7199.28i −0.297628 1.68793i −0.656324 0.754479i \(-0.727890\pi\)
0.358696 0.933454i \(1.61678\pi\)
\(264\) 689.981 833.739i 0.160854 0.194368i
\(265\) 8003.57 2913.06i 1.85530 0.675275i
\(266\) −3232.96 + 5934.31i −0.745208 + 1.36788i
\(267\) 3486.16 2545.25i 0.799062 0.583396i
\(268\) −202.133 4077.97i −0.0460718 0.929485i
\(269\) 6354.97i 1.44041i −0.693763 0.720204i \(-0.744048\pi\)
0.693763 0.720204i \(-0.255952\pi\)
\(270\) −6885.51 4004.49i −1.55200 0.902612i
\(271\) 6211.52i 1.39234i 0.717879 + 0.696168i \(0.245113\pi\)
−0.717879 + 0.696168i \(0.754887\pi\)
\(272\) 1118.61 1638.31i 0.249360 0.365210i
\(273\) −2633.51 1165.18i −0.583835 0.258315i
\(274\) −1366.34 744.373i −0.301255 0.164121i
\(275\) 2403.87 874.937i 0.527123 0.191857i
\(276\) −1356.90 1677.37i −0.295926 0.365818i
\(277\) −573.729 3253.78i −0.124448 0.705779i −0.981634 0.190772i \(-0.938901\pi\)
0.857186 0.515006i \(-0.172210\pi\)
\(278\) 717.500 144.919i 0.154794 0.0312649i
\(279\) 4823.24 190.892i 1.03498 0.0409620i
\(280\) 8286.12 616.709i 1.76854 0.131626i
\(281\) −2473.91 + 6797.00i −0.525199 + 1.44297i 0.339464 + 0.940619i \(0.389754\pi\)
−0.864663 + 0.502353i \(0.832468\pi\)
\(282\) −2133.21 2774.82i −0.450463 0.585952i
\(283\) −2603.10 + 3102.25i −0.546778 + 0.651624i −0.966693 0.255939i \(-0.917615\pi\)
0.419915 + 0.907563i \(0.362060\pi\)
\(284\) −134.772 591.400i −0.0281592 0.123567i
\(285\) −11311.1 7591.22i −2.35092 1.57777i
\(286\) 616.548 + 491.852i 0.127473 + 0.101692i
\(287\) 520.244 901.088i 0.107000 0.185329i
\(288\) 2396.37 + 4259.73i 0.490304 + 0.871551i
\(289\) −1976.11 3422.72i −0.402221 0.696667i
\(290\) 2191.81 14525.0i 0.443819 2.94116i
\(291\) 3067.42 + 757.222i 0.617922 + 0.152540i
\(292\) −5202.98 1606.84i −1.04274 0.322032i
\(293\) 2291.92 + 404.127i 0.456981 + 0.0805781i 0.397400 0.917645i \(-0.369912\pi\)
0.0595808 + 0.998223i \(0.481024\pi\)
\(294\) 82.6941 90.4096i 0.0164042 0.0179347i
\(295\) −1093.25 1302.89i −0.215768 0.257142i
\(296\) 3422.31 + 5025.11i 0.672019 + 0.986752i
\(297\) −1290.84 36.0642i −0.252197 0.00704599i
\(298\) 1343.25 3995.73i 0.261115 0.776733i
\(299\) 1204.48 1010.68i 0.232966 0.195482i
\(300\) −207.501 + 11551.2i −0.0399335 + 2.22304i
\(301\) −1119.12 + 6346.87i −0.214303 + 1.21537i
\(302\) 74.1443 + 2993.51i 0.0141276 + 0.570389i
\(303\) −2914.68 + 843.109i −0.552620 + 0.159853i
\(304\) 3621.57 + 7533.36i 0.683260 + 1.42128i
\(305\) 14363.1 8292.52i 2.69648 1.55681i
\(306\) −2362.23 + 152.149i −0.441306 + 0.0284240i
\(307\) −7211.96 4163.83i −1.34074 0.774079i −0.353827 0.935311i \(-0.615120\pi\)
−0.986916 + 0.161232i \(0.948453\pi\)
\(308\) 1131.83 730.466i 0.209389 0.135137i
\(309\) −1295.84 2641.27i −0.238570 0.486267i
\(310\) −5291.17 8661.93i −0.969414 1.58698i
\(311\) 5043.85 + 4232.29i 0.919647 + 0.771676i 0.973930 0.226850i \(-0.0728427\pi\)
−0.0542826 + 0.998526i \(0.517287\pi\)
\(312\) −3072.55 + 1801.91i −0.557528 + 0.326965i
\(313\) −7555.57 2750.00i −1.36443 0.496611i −0.447008 0.894530i \(-0.647510\pi\)
−0.917421 + 0.397919i \(0.869733\pi\)
\(314\) −1979.30 + 1746.14i −0.355727 + 0.313824i
\(315\) −6668.42 7337.13i −1.19277 1.31238i
\(316\) 9342.34 + 1173.97i 1.66312 + 0.208991i
\(317\) −4888.92 + 862.048i −0.866212 + 0.152736i −0.589060 0.808090i \(-0.700502\pi\)
−0.277152 + 0.960826i \(0.589391\pi\)
\(318\) 2884.53 + 5528.87i 0.508668 + 0.974979i
\(319\) −814.510 2237.85i −0.142959 0.392776i
\(320\) 5367.93 8764.11i 0.937738 1.53103i
\(321\) −4472.73 + 480.620i −0.777706 + 0.0835689i
\(322\) −980.697 2500.03i −0.169727 0.432674i
\(323\) −4048.27 −0.697373
\(324\) 2243.98 5383.01i 0.384770 0.923012i
\(325\) −8419.71 −1.43705
\(326\) −262.283 668.620i −0.0445599 0.113593i
\(327\) 2587.89 278.084i 0.437648 0.0470277i
\(328\) −528.715 1173.35i −0.0890042 0.197522i
\(329\) −1490.05 4093.88i −0.249693 0.686027i
\(330\) 1256.03 + 2407.46i 0.209521 + 0.401596i
\(331\) −4859.06 + 856.783i −0.806882 + 0.142275i −0.561849 0.827240i \(-0.689910\pi\)
−0.245033 + 0.969515i \(0.578799\pi\)
\(332\) 212.408 1690.32i 0.0351127 0.279422i
\(333\) 2209.71 6909.95i 0.363637 1.13713i
\(334\) −6354.52 + 5605.97i −1.04103 + 0.918399i
\(335\) 9626.87 + 3503.89i 1.57007 + 0.571457i
\(336\) 1244.97 + 5954.92i 0.202140 + 0.966868i
\(337\) 4457.30 + 3740.12i 0.720489 + 0.604562i 0.927521 0.373772i \(-0.121936\pi\)
−0.207032 + 0.978334i \(0.566380\pi\)
\(338\) 1886.12 + 3087.67i 0.303524 + 0.496886i
\(339\) 942.965 + 1922.01i 0.151076 + 0.307933i
\(340\) 2699.12 + 4182.17i 0.430530 + 0.667089i
\(341\) −1425.09 822.779i −0.226314 0.130663i
\(342\) 4421.45 8940.35i 0.699079 1.41356i
\(343\) 5566.19 3213.64i 0.876228 0.505890i
\(344\) 5563.07 + 5709.36i 0.871921 + 0.894849i
\(345\) 5200.20 1504.23i 0.811506 0.234739i
\(346\) 74.9499 + 3026.04i 0.0116455 + 0.470176i
\(347\) 2007.76 11386.6i 0.310611 1.76156i −0.285228 0.958460i \(-0.592069\pi\)
0.595839 0.803104i \(-0.296820\pi\)
\(348\) 10753.5 + 193.170i 1.65646 + 0.0297557i
\(349\) −1327.58 + 1113.97i −0.203621 + 0.170858i −0.738896 0.673820i \(-0.764652\pi\)
0.535275 + 0.844678i \(0.320208\pi\)
\(350\) −4582.34 + 13631.0i −0.699818 + 2.08173i
\(351\) 3951.78 + 1564.65i 0.600942 + 0.237934i
\(352\) 84.4671 1664.04i 0.0127901 0.251971i
\(353\) 4626.52 + 5513.68i 0.697578 + 0.831341i 0.992250 0.124257i \(-0.0396548\pi\)
−0.294672 + 0.955598i \(0.595210\pi\)
\(354\) 840.466 918.882i 0.126187 0.137961i
\(355\) 1498.82 + 264.282i 0.224082 + 0.0395116i
\(356\) 1960.98 6349.68i 0.291943 0.945315i
\(357\) −2860.57 706.159i −0.424082 0.104689i
\(358\) 416.949 2763.09i 0.0615543 0.407915i
\(359\) 965.681 + 1672.61i 0.141969 + 0.245897i 0.928238 0.371987i \(-0.121323\pi\)
−0.786269 + 0.617884i \(0.787990\pi\)
\(360\) −12184.0 + 1393.13i −1.78376 + 0.203957i
\(361\) 5099.23 8832.12i 0.743436 1.28767i
\(362\) −4698.88 3748.54i −0.682232 0.544251i
\(363\) −5377.13 3608.76i −0.777482 0.521792i
\(364\) −4322.85 + 985.116i −0.622470 + 0.141852i
\(365\) 8782.61 10466.7i 1.25946 1.50097i
\(366\) 7401.03 + 9627.09i 1.05699 + 1.37491i
\(367\) 1026.82 2821.16i 0.146047 0.401262i −0.845001 0.534765i \(-0.820400\pi\)
0.991048 + 0.133503i \(0.0426225\pi\)
\(368\) −3218.39 821.834i −0.455897 0.116416i
\(369\) −714.638 + 1359.25i −0.100820 + 0.191761i
\(370\) −14953.0 + 3020.17i −2.10100 + 0.424354i
\(371\) 1347.91 + 7644.36i 0.188625 + 1.06975i
\(372\) 5777.88 4673.97i 0.805293 0.651436i
\(373\) −3065.76 + 1115.84i −0.425574 + 0.154896i −0.545923 0.837836i \(-0.683821\pi\)
0.120349 + 0.992732i \(0.461599\pi\)
\(374\) 708.628 + 386.055i 0.0979741 + 0.0533754i
\(375\) −14586.5 6453.71i −2.00864 0.888716i
\(376\) −5186.50 1462.11i −0.711365 0.200539i
\(377\) 7838.22i 1.07079i
\(378\) 4683.78 5546.14i 0.637322 0.754662i
\(379\) 3053.32i 0.413821i −0.978360 0.206911i \(-0.933659\pi\)
0.978360 0.206911i \(-0.0663409\pi\)
\(380\) −20947.2 + 1038.29i −2.82781 + 0.140166i
\(381\) 470.976 343.860i 0.0633302 0.0462375i
\(382\) 1144.17 2100.20i 0.153248 0.281297i
\(383\) −2387.30 + 868.906i −0.318499 + 0.115924i −0.496323 0.868138i \(-0.665317\pi\)
0.177823 + 0.984062i \(0.443094\pi\)
\(384\) 6877.75 + 3052.82i 0.914006 + 0.405700i
\(385\) 586.927 + 3328.63i 0.0776950 + 0.440630i
\(386\) −1351.22 6689.94i −0.178174 0.882148i
\(387\) 1279.99 9425.40i 0.168127 1.23804i
\(388\) 4483.04 1887.96i 0.586577 0.247028i
\(389\) −3323.51 + 9131.28i −0.433185 + 1.19016i 0.510662 + 0.859781i \(0.329400\pi\)
−0.943847 + 0.330383i \(0.892822\pi\)
\(390\) −1174.61 8859.83i −0.152509 1.15035i
\(391\) 1034.08 1232.37i 0.133749 0.159396i
\(392\) 18.8781 187.692i 0.00243236 0.0241833i
\(393\) −378.884 + 5605.57i −0.0486315 + 0.719500i
\(394\) 6995.19 8768.63i 0.894448 1.12121i
\(395\) −11812.7 + 20460.2i −1.50471 + 2.60624i
\(396\) −1626.53 + 1143.32i −0.206405 + 0.145086i
\(397\) 3568.92 + 6181.55i 0.451181 + 0.781468i 0.998460 0.0554821i \(-0.0176696\pi\)
−0.547279 + 0.836950i \(0.684336\pi\)
\(398\) −12243.3 1847.51i −1.54197 0.232682i
\(399\) 8603.32 8950.55i 1.07946 1.12303i
\(400\) 10373.3 + 14449.1i 1.29667 + 1.80614i
\(401\) −4980.53 878.201i −0.620239 0.109365i −0.145306 0.989387i \(-0.546417\pi\)
−0.474933 + 0.880022i \(0.657528\pi\)
\(402\) −1616.84 + 7324.58i −0.200599 + 0.908749i
\(403\) 3481.39 + 4148.96i 0.430324 + 0.512840i
\(404\) −2821.88 + 3722.77i −0.347510 + 0.458453i
\(405\) 10262.5 + 10431.3i 1.25913 + 1.27983i
\(406\) 12689.6 + 4265.87i 1.55116 + 0.521457i
\(407\) −1894.55 + 1589.71i −0.230735 + 0.193610i
\(408\) −2775.79 + 2361.52i −0.336819 + 0.286551i
\(409\) 35.5436 201.578i 0.00429711 0.0243701i −0.982584 0.185820i \(-0.940506\pi\)
0.986881 + 0.161450i \(0.0516170\pi\)
\(410\) 3228.17 79.9563i 0.388849 0.00963113i
\(411\) 2060.82 + 1980.87i 0.247330 + 0.237735i
\(412\) −4030.01 2067.80i −0.481904 0.247265i
\(413\) 1342.38 775.024i 0.159938 0.0923400i
\(414\) 1592.21 + 3629.68i 0.189016 + 0.430892i
\(415\) 3701.88 + 2137.28i 0.437875 + 0.252807i
\(416\) −2134.46 + 5051.53i −0.251564 + 0.595365i
\(417\) −1341.69 90.6856i −0.157560 0.0106496i
\(418\) −2901.63 + 1772.47i −0.339530 + 0.207403i
\(419\) 6918.00 + 5804.89i 0.806603 + 0.676820i 0.949794 0.312875i \(-0.101292\pi\)
−0.143192 + 0.989695i \(0.545737\pi\)
\(420\) −14982.7 2920.25i −1.74067 0.339271i
\(421\) 1375.38 + 500.597i 0.159221 + 0.0579516i 0.420401 0.907338i \(-0.361889\pi\)
−0.261180 + 0.965290i \(0.584112\pi\)
\(422\) −2074.82 2351.87i −0.239338 0.271296i
\(423\) 2436.41 + 5950.50i 0.280052 + 0.683979i
\(424\) 8648.16 + 4170.17i 0.990547 + 0.477645i
\(425\) −8483.80 + 1495.92i −0.968294 + 0.170736i
\(426\) −47.5948 + 1113.31i −0.00541309 + 0.126620i
\(427\) 5169.64 + 14203.5i 0.585893 + 1.60973i
\(428\) −5078.62 + 4709.06i −0.573562 + 0.531824i
\(429\) −854.387 1170.23i −0.0961543 0.131700i
\(430\) −18620.0 + 7304.18i −2.08823 + 0.819160i
\(431\) −2962.32 −0.331067 −0.165533 0.986204i \(-0.552935\pi\)
−0.165533 + 0.986204i \(0.552935\pi\)
\(432\) −2183.60 8709.39i −0.243191 0.969978i
\(433\) −3596.34 −0.399144 −0.199572 0.979883i \(-0.563955\pi\)
−0.199572 + 0.979883i \(0.563955\pi\)
\(434\) 8611.60 3378.12i 0.952466 0.373629i
\(435\) −10918.9 + 24678.5i −1.20350 + 2.72010i
\(436\) 2938.46 2724.63i 0.322767 0.299280i
\(437\) 2318.38 + 6369.69i 0.253783 + 0.697263i
\(438\) 8442.11 + 5367.44i 0.920958 + 0.585540i
\(439\) −9175.51 + 1617.89i −0.997547 + 0.175895i −0.648503 0.761212i \(-0.724605\pi\)
−0.349044 + 0.937106i \(0.613494\pi\)
\(440\) 3765.72 + 1815.84i 0.408008 + 0.196743i
\(441\) −190.332 + 120.167i −0.0205520 + 0.0129756i
\(442\) −1757.09 1991.71i −0.189087 0.214335i
\(443\) 1938.49 + 705.554i 0.207902 + 0.0756701i 0.443872 0.896090i \(-0.353604\pi\)
−0.235970 + 0.971760i \(0.575827\pi\)
\(444\) −3631.00 10562.6i −0.388107 1.12901i
\(445\) 12773.5 + 10718.2i 1.36072 + 1.14178i
\(446\) 11881.6 7257.92i 1.26146 0.770566i
\(447\) −4315.62 + 6430.38i −0.456649 + 0.680417i
\(448\) 7016.45 + 6204.79i 0.739946 + 0.654350i
\(449\) −13884.9 8016.43i −1.45939 0.842580i −0.460410 0.887706i \(-0.652298\pi\)
−0.998981 + 0.0451259i \(0.985631\pi\)
\(450\) 5962.23 20369.8i 0.624582 2.13387i
\(451\) 453.379 261.758i 0.0473365 0.0273297i
\(452\) 2932.57 + 1504.70i 0.305170 + 0.156582i
\(453\) 1318.43 5340.80i 0.136744 0.553935i
\(454\) −4401.72 + 109.023i −0.455029 + 0.0112703i
\(455\) 1931.77 10955.6i 0.199039 1.12881i
\(456\) −2769.31 15104.1i −0.284397 1.55113i
\(457\) 1362.29 1143.10i 0.139443 0.117007i −0.570398 0.821368i \(-0.693211\pi\)
0.709841 + 0.704362i \(0.248767\pi\)
\(458\) −4653.28 1564.30i −0.474745 0.159596i
\(459\) 4259.85 + 874.449i 0.433187 + 0.0889233i
\(460\) 5034.64 6641.96i 0.510308 0.673224i
\(461\) −7020.27 8366.44i −0.709256 0.845258i 0.284285 0.958740i \(-0.408244\pi\)
−0.993540 + 0.113482i \(0.963800\pi\)
\(462\) −2359.52 + 746.311i −0.237608 + 0.0751548i
\(463\) 8142.23 + 1435.69i 0.817282 + 0.144109i 0.566634 0.823970i \(-0.308245\pi\)
0.250648 + 0.968078i \(0.419356\pi\)
\(464\) 13451.2 9656.91i 1.34581 0.966187i
\(465\) 5181.48 + 17912.7i 0.516742 + 1.78641i
\(466\) 12455.4 + 1879.52i 1.23817 + 0.186839i
\(467\) −9006.95 15600.5i −0.892488 1.54583i −0.836883 0.547381i \(-0.815625\pi\)
−0.0556047 0.998453i \(1.48229\pi\)
\(468\) 6317.65 1705.12i 0.624003 0.168417i
\(469\) −4668.33 + 8085.78i −0.459623 + 0.796091i
\(470\) 8431.87 10569.5i 0.827517 1.03731i
\(471\) 4353.26 2135.77i 0.425877 0.208941i
\(472\) 191.868 1907.61i 0.0187107 0.186027i
\(473\) −2084.34 + 2484.02i −0.202618 + 0.241470i
\(474\) −15987.2 6605.12i −1.54919 0.640049i
\(475\) 12414.7 34109.1i 1.19921 3.29480i
\(476\) −4180.73 + 1760.65i −0.402570 + 0.169536i
\(477\) −2434.01 11194.9i −0.233639 1.07459i
\(478\) −3547.47 17563.7i −0.339451 1.68064i
\(479\) −1796.16 10186.5i −0.171333 0.971677i −0.942292 0.334793i \(-0.891334\pi\)
0.770959 0.636885i \(1.78022\pi\)
\(480\) −13757.3 + 12931.3i −1.30819 + 1.22965i
\(481\) 7649.09 2784.04i 0.725091 0.263911i
\(482\) −8210.42 + 15070.8i −0.775881 + 1.42418i
\(483\) 527.106 + 4905.33i 0.0496566 + 0.462113i
\(484\) −9958.00 + 493.588i −0.935199 + 0.0463550i
\(485\) 12205.3i 1.14271i
\(486\) −6583.72 + 8452.57i −0.614493 + 0.788922i
\(487\) 4962.94i 0.461791i −0.972979 0.230896i \(-0.925834\pi\)
0.972979 0.230896i \(-0.0741656\pi\)
\(488\) 17994.3 + 5072.71i 1.66918 + 0.470555i
\(489\) 140.972 + 1311.91i 0.0130368 + 0.121322i
\(490\) 415.639 + 226.437i 0.0383197 + 0.0208762i
\(491\) −2818.84 + 1025.97i −0.259089 + 0.0943005i −0.468299 0.883570i \(-0.655133\pi\)
0.209210 + 0.977871i \(0.432911\pi\)
\(492\) 368.673 + 2335.39i 0.0337826 + 0.213999i
\(493\) 1392.61 + 7897.88i 0.127221 + 0.721506i
\(494\) 10969.6 2215.60i 0.999077 0.201791i
\(495\) −1059.86 4874.65i −0.0962363 0.442625i
\(496\) 2830.90 11086.1i 0.256272 1.00359i
\(497\) −474.396 + 1303.39i −0.0428160 + 0.117636i
\(498\) −1195.07 + 2892.58i −0.107535 + 0.260280i
\(499\) −9561.10 + 11394.5i −0.857743 + 1.02222i 0.141735 + 0.989905i \(0.454732\pi\)
−0.999478 + 0.0323137i \(0.989712\pi\)
\(500\) −23943.4 + 5456.36i −2.14156 + 0.488032i
\(501\) 13976.1 6856.87i 1.24632 0.611462i
\(502\) 4598.43 + 3668.40i 0.408840 + 0.326153i
\(503\) 2377.14 4117.32i 0.210718 0.364975i −0.741221 0.671261i \(-0.765753\pi\)
0.951940 + 0.306286i \(0.0990863\pi\)
\(504\) 677.840 11155.8i 0.0599075 0.985954i
\(505\) −5860.57 10150.8i −0.516420 0.894465i
\(506\) 201.612 1336.07i 0.0177130 0.117383i
\(507\) −1847.01 6385.24i −0.161793 0.559326i
\(508\) 264.926 857.833i 0.0231382 0.0749216i
\(509\) 7121.88 + 1255.78i 0.620181 + 0.109355i 0.474906 0.880037i \(-0.342482\pi\)
0.145275 + 0.989391i \(0.453593\pi\)
\(510\) −2757.67 8718.58i −0.239434 0.756990i
\(511\) 8004.16 + 9538.98i 0.692922 + 0.825792i
\(512\) 11298.7 2560.67i 0.975267 0.221029i
\(513\) −12165.4 + 13702.0i −1.04701 + 1.17926i
\(514\) −1837.56 + 5466.13i −0.157687 + 0.469068i
\(515\) 8706.24 7305.40i 0.744937 0.625077i
\(516\) −7093.31 12812.0i −0.605166 1.09306i
\(517\) 380.639 2158.71i 0.0323800 0.183636i
\(518\) −344.244 13898.6i −0.0291992 1.17890i
\(519\) 1332.75 5398.82i 0.112719 0.456613i
\(520\) −9602.68 9855.19i −0.809818 0.831113i
\(521\) −5534.40 + 3195.29i −0.465387 + 0.268691i −0.714307 0.699833i \(-0.753258\pi\)
0.248920 + 0.968524i \(0.419924\pi\)
\(522\) −18963.0 5550.45i −1.59001 0.465396i
\(523\) 14065.4 + 8120.66i 1.17598 + 0.678952i 0.955081 0.296345i \(-0.0957679\pi\)
0.220898 + 0.975297i \(0.429101\pi\)
\(524\) 4690.57 + 7267.84i 0.391047 + 0.605911i
\(525\) 14722.2 21936.5i 1.22387 1.82359i
\(526\) 10778.6 + 17645.1i 0.893477 + 1.46267i
\(527\) 4245.03 + 3562.01i 0.350885 + 0.294428i
\(528\) −955.616 + 2907.98i −0.0787648 + 0.239685i
\(529\) 8901.98 + 3240.06i 0.731649 + 0.266299i
\(530\) −18065.2 + 15937.2i −1.48057 + 1.30616i
\(531\) −1934.45 + 1221.32i −0.158094 + 0.0998132i
\(532\) 2383.15 18964.8i 0.194216 1.54554i
\(533\) −1696.89 + 299.208i −0.137900 + 0.0243154i
\(534\) −6550.39 + 10302.7i −0.530830 + 0.834908i
\(535\) −5943.57 16329.8i −0.480305 1.31963i
\(536\) 4744.34 + 10528.9i 0.382322 + 0.848466i
\(537\) −2077.11 + 4694.60i −0.166916 + 0.377257i
\(538\) 6564.01 + 16733.2i 0.526012 + 1.34093i
\(539\) 76.7349 0.00613211
\(540\) 22266.3 + 3432.16i 1.77443 + 0.273512i
\(541\) 4765.45 0.378711 0.189356 0.981909i \(-0.439360\pi\)
0.189356 + 0.981909i \(0.439360\pi\)
\(542\) −6415.83 16355.5i −0.508457 1.29618i
\(543\) 6511.52 + 8918.66i 0.514615 + 0.704855i
\(544\) −1253.21 + 5469.21i −0.0987697 + 0.431049i
\(545\) 3438.91 + 9448.34i 0.270288 + 0.742610i
\(546\) 8137.75 + 347.895i 0.637845 + 0.0272684i
\(547\) −7239.52 + 1276.52i −0.565886 + 0.0997809i −0.449270 0.893396i \(-0.648316\pi\)
−0.116616 + 0.993177i \(0.537205\pi\)
\(548\) 4366.56 + 548.709i 0.340383 + 0.0427731i
\(549\) −8452.97 20644.9i −0.657129 1.60492i
\(550\) −5425.87 + 4786.72i −0.420654 + 0.371103i
\(551\) −31753.4 11557.3i −2.45506 0.893570i
\(552\) 5305.36 + 3015.13i 0.409078 + 0.232486i
\(553\) −16494.0 13840.1i −1.26835 1.06427i
\(554\) 4871.48 + 7974.88i 0.373591 + 0.611588i
\(555\) 27961.3 + 1889.93i 2.13855 + 0.144546i
\(556\) −1739.55 + 1122.68i −0.132686 + 0.0856338i
\(557\) −11699.3 6754.59i −0.889973 0.513826i −0.0160394 0.999871i \(-0.505106\pi\)
−0.873934 + 0.486045i \(0.838439\pi\)
\(558\) −12502.8 + 5484.53i −0.948543 + 0.416091i
\(559\) 9242.82 5336.35i 0.699338 0.403763i
\(560\) −21181.1 + 10182.5i −1.59833 + 0.768375i
\(561\) −1068.80 1027.34i −0.0804367 0.0773162i
\(562\) −506.570 20452.4i −0.0380220 1.53511i
\(563\) 583.223 3307.62i 0.0436588 0.247602i −0.955166 0.296071i \(-0.904323\pi\)
0.998825 + 0.0484698i \(0.0154345\pi\)
\(564\) 8483.00 + 5102.97i 0.633331 + 0.380982i
\(565\) −6335.39 + 5316.02i −0.471738 + 0.395835i
\(566\) 3649.88 10857.2i 0.271053 0.806294i
\(567\) −10986.4 + 7560.00i −0.813728 + 0.559948i
\(568\) 965.718 + 1418.00i 0.0713391 + 0.104750i
\(569\) −2783.31 3317.02i −0.205066 0.244388i 0.653703 0.756751i \(-0.273215\pi\)
−0.858769 + 0.512363i \(0.828770\pi\)
\(570\) 37624.0 + 8305.18i 2.76473 + 0.610291i
\(571\) 5571.75 + 982.450i 0.408354 + 0.0720039i 0.374052 0.927408i \(-0.377968\pi\)
0.0343021 + 0.999412i \(0.489079\pi\)
\(572\) −2131.45 658.260i −0.155805 0.0481176i
\(573\) −3044.79 + 3167.67i −0.221986 + 0.230945i
\(574\) −439.118 + 2910.00i −0.0319310 + 0.211604i
\(575\) 7212.28 + 12492.0i 0.523083 + 0.906007i
\(576\) −10709.7 8741.02i −0.774717 0.632308i
\(577\) −102.266 + 177.129i −0.00737846 + 0.0127799i −0.869691 0.493596i \(-0.835682\pi\)
0.862313 + 0.506376i \(0.169015\pi\)
\(578\) 8738.57 + 6971.21i 0.628852 + 0.501668i
\(579\) −845.549 + 12509.8i −0.0606905 + 0.897913i
\(580\) 9231.51 + 40509.4i 0.660892 + 2.90010i
\(581\) −2504.10 + 2984.27i −0.178808 + 0.213095i
\(582\) −8858.90 + 1174.48i −0.630950 + 0.0836494i
\(583\) −1335.78 + 3670.03i −0.0948926 + 0.260715i
\(584\) 15359.6 1143.16i 1.08833 0.0810008i
\(585\) −2209.44 + 16269.6i −0.156153 + 1.14986i
\(586\) −6452.24 + 1303.21i −0.454846 + 0.0918686i
\(587\) 538.233 + 3052.47i 0.0378454 + 0.214632i 0.997866 0.0652981i \(-0.0207998\pi\)
−0.960020 + 0.279930i \(0.909689\pi\)
\(588\) −124.357 + 323.470i −0.00872178 + 0.0226865i
\(589\) −21941.1 + 7985.90i −1.53492 + 0.558665i
\(590\) 4224.37 + 2301.40i 0.294770 + 0.160588i
\(591\) −16643.2 + 12151.2i −1.15839 + 0.845743i
\(592\) −14201.6 9696.66i −0.985951 0.673193i
\(593\) 2605.07i 0.180401i 0.995924 + 0.0902003i \(0.0287507\pi\)
−0.995924 + 0.0902003i \(0.971249\pi\)
\(594\) 3436.15 1238.34i 0.237352 0.0855385i
\(595\) 11382.2i 0.784246i
\(596\) 590.270 + 11908.5i 0.0405678 + 0.818443i
\(597\) 20801.9 + 9203.72i 1.42607 + 0.630960i
\(598\) −2127.57 + 3905.30i −0.145490 + 0.267056i
\(599\) −25408.2 + 9247.82i −1.73314 + 0.630811i −0.998846 0.0480229i \(-0.984708\pi\)
−0.734292 + 0.678834i \(0.762486\pi\)
\(600\) −11384.8 30629.7i −0.774640 2.08409i
\(601\) −3281.27 18609.0i −0.222705 1.26302i −0.867024 0.498266i \(-0.833970\pi\)
0.644319 0.764757i \(-0.277141\pi\)
\(602\) −3608.89 17867.8i −0.244331 1.20969i
\(603\) 6412.70 12197.0i 0.433077 0.823717i
\(604\) −3287.21 7805.59i −0.221448 0.525836i
\(605\) 8556.15 23507.8i 0.574970 1.57972i
\(606\) 6803.75 5230.53i 0.456078 0.350620i
\(607\) 9517.88 11343.0i 0.636440 0.758479i −0.347364 0.937731i \(-0.612923\pi\)
0.983803 + 0.179251i \(0.0573674\pi\)
\(608\) −17317.0 16095.3i −1.15510 1.07360i
\(609\) −20421.5 13705.5i −1.35882 0.911944i
\(610\) −29253.9 + 36670.4i −1.94173 + 2.43400i
\(611\) −3607.32 + 6248.07i −0.238849 + 0.413698i
\(612\) 6062.79 2840.55i 0.400447 0.187618i
\(613\) −1629.87 2823.02i −0.107390 0.186004i 0.807322 0.590111i \(-0.200916\pi\)
−0.914712 + 0.404106i \(0.867583\pi\)
\(614\) 23290.5 + 3514.53i 1.53083 + 0.231001i
\(615\) −5759.45 1421.78i −0.377632 0.0932221i
\(616\) −2225.70 + 3092.43i −0.145578 + 0.202269i
\(617\) 17797.2 + 3138.13i 1.16125 + 0.204759i 0.720881 0.693059i \(-0.243737\pi\)
0.440367 + 0.897818i \(0.354848\pi\)
\(618\) 6140.22 + 5616.22i 0.399669 + 0.365562i
\(619\) 3921.65 + 4673.64i 0.254643 + 0.303472i 0.878188 0.478316i \(-0.158752\pi\)
−0.623545 + 0.781788i \(0.714308\pi\)
\(620\) 22878.9 + 17342.4i 1.48200 + 1.12337i
\(621\) −1063.66 7203.40i −0.0687331 0.465479i
\(622\) −17652.4 5934.22i −1.13794 0.382541i
\(623\) −11641.3 + 9768.21i −0.748634 + 0.628178i
\(624\) 6229.10 7918.20i 0.399621 0.507983i
\(625\) 4667.07 26468.2i 0.298692 1.69397i
\(626\) 22734.9 563.105i 1.45155 0.0359524i
\(627\) 6000.50 1735.72i 0.382196 0.110555i
\(628\) 3408.08 6642.15i 0.216556 0.422055i
\(629\) 7212.68 4164.24i 0.457215 0.263973i
\(630\) 25137.0 + 12431.5i 1.58965 + 0.786164i
\(631\) −3219.40 1858.72i −0.203110 0.117265i 0.394995 0.918683i \(-0.370746\pi\)
−0.598105 + 0.801418i \(0.704080\pi\)
\(632\) −25811.7 + 6558.46i −1.62458 + 0.412787i
\(633\) 2537.79 + 5172.69i 0.159349 + 0.324796i
\(634\) 11982.5 7319.58i 0.750611 0.458513i
\(635\) 1725.68 + 1448.02i 0.107845 + 0.0904927i
\(636\) −13305.9 11578.6i −0.829583 0.721886i
\(637\) −237.329 86.3808i −0.0147619 0.00537289i
\(638\) 4456.13 + 5051.14i 0.276520 + 0.313443i
\(639\) 623.542 1949.87i 0.0386024 0.120713i
\(640\) −5081.81 + 28621.1i −0.313869 + 1.76773i
\(641\) 9929.96 1750.92i 0.611872 0.107890i 0.140879 0.990027i \(-0.455007\pi\)
0.470992 + 0.882137i \(0.343896\pi\)
\(642\) 11280.7 5885.37i 0.693476 0.361802i
\(643\) −382.671 1051.38i −0.0234698 0.0644827i 0.927404 0.374060i \(-0.122035\pi\)
−0.950874 + 0.309577i \(0.899812\pi\)
\(644\) 5164.52 + 5569.82i 0.316010 + 0.340810i
\(645\) 36534.6 3925.85i 2.23031 0.239659i
\(646\) 10659.4 4181.42i 0.649210 0.254669i
\(647\) 13661.7 0.830136 0.415068 0.909790i \(-0.363758\pi\)
0.415068 + 0.909790i \(0.363758\pi\)
\(648\) −348.513 + 16491.7i −0.0211279 + 0.999777i
\(649\) 779.899 0.0471706
\(650\) 22169.8 8696.66i 1.33780 0.524786i
\(651\) −16896.9 + 1815.67i −1.01727 + 0.109312i
\(652\) 1381.23 + 1489.62i 0.0829647 + 0.0894757i
\(653\) −2337.78 6423.01i −0.140099 0.384919i 0.849723 0.527229i \(-0.176769\pi\)
−0.989822 + 0.142311i \(0.954547\pi\)
\(654\) −6526.91 + 3405.23i −0.390248 + 0.203601i
\(655\) −21374.3 + 3768.86i −1.27506 + 0.224827i
\(656\) 2604.09 + 2543.42i 0.154989 + 0.151378i
\(657\) −12360.9 13600.5i −0.734012 0.807618i
\(658\) 8151.96 + 9240.46i 0.482973 + 0.547463i
\(659\) −2164.74 787.903i −0.127961 0.0465741i 0.277246 0.960799i \(-0.410578\pi\)
−0.405207 + 0.914225i \(0.632801\pi\)
\(660\) −5793.88 5041.71i −0.341707 0.297346i
\(661\) 4206.18 + 3529.40i 0.247506 + 0.207682i 0.758097 0.652141i \(-0.226129\pi\)
−0.510592 + 0.859823i \(0.670574\pi\)
\(662\) 11909.3 7274.87i 0.699199 0.427108i
\(663\) 2149.17 + 4380.56i 0.125892 + 0.256602i
\(664\) 1186.63 + 4670.14i 0.0693525 + 0.272947i
\(665\) 41534.0 + 23979.7i 2.42198 + 1.39833i
\(666\) 1318.89 + 20476.9i 0.0767359 + 1.19139i
\(667\) 11629.3 6714.18i 0.675095 0.389766i
\(668\) 10941.6 21324.5i 0.633748 1.23514i
\(669\) −24570.8 + 7107.45i −1.41998 + 0.410747i
\(670\) −28967.5 + 717.476i −1.67032 + 0.0413709i
\(671\) −1320.60 + 7489.52i −0.0759782 + 0.430894i
\(672\) −9428.92 14393.9i −0.541263 0.826274i
\(673\) 11627.0 9756.23i 0.665957 0.558804i −0.245909 0.969293i \(-0.579086\pi\)
0.911866 + 0.410489i \(0.134642\pi\)
\(674\) −15599.6 5244.14i −0.891505 0.299698i
\(675\) −20431.3 + 33210.2i −1.16504 + 1.89372i
\(676\) −8155.54 6181.95i −0.464016 0.351727i
\(677\) 5971.41 + 7116.45i 0.338995 + 0.403999i 0.908430 0.418038i \(-0.137282\pi\)
−0.569434 + 0.822037i \(0.692838\pi\)
\(678\) −4468.14 4086.83i −0.253094 0.231495i
\(679\) −10954.5 1931.57i −0.619138 0.109171i
\(680\) −11426.7 8224.11i −0.644405 0.463794i
\(681\) 7853.21 + 1938.64i 0.441903 + 0.109088i
\(682\) 4602.24 + 694.476i 0.258400 + 0.0389925i
\(683\) −12802.0 22173.6i −0.717208 1.24224i −0.962102 0.272691i \(-0.912086\pi\)
0.244893 0.969550i \(1.57875\pi\)
\(684\) −2407.64 + 28107.6i −0.134589 + 1.57123i
\(685\) −5521.20 + 9563.00i −0.307962 + 0.533406i
\(686\) −11336.9 + 14211.1i −0.630969 + 0.790935i
\(687\) 7488.58 + 5025.81i 0.415876 + 0.279107i
\(688\) −20545.2 9287.16i −1.13849 0.514636i
\(689\) 8262.73 9847.13i 0.456872 0.544479i
\(690\) −12138.9 + 9332.01i −0.669737 + 0.514875i
\(691\) 8812.34 24211.7i 0.485148 1.33293i −0.419879 0.907580i \(-0.637928\pi\)
0.905027 0.425353i \(-0.139850\pi\)
\(692\) −3322.92 7890.40i −0.182541 0.433451i
\(693\) 4542.82 179.793i 0.249015 0.00985539i
\(694\) 6474.50 + 32055.6i 0.354134 + 1.75333i
\(695\) −902.072 5115.91i −0.0492339 0.279219i
\(696\) −28514.3 + 10598.6i −1.55292 + 0.577209i
\(697\) −1656.65 + 602.971i −0.0900287 + 0.0327678i
\(698\) 2345.01 4304.43i 0.127163 0.233417i
\(699\) −21162.3 9363.15i −1.14511 0.506648i
\(700\) −2013.64 40624.5i −0.108726 2.19352i
\(701\) 15204.6i 0.819213i 0.912262 + 0.409607i \(0.134334\pi\)
−0.912262 + 0.409607i \(0.865666\pi\)
\(702\) −12021.5 38.0837i −0.646328 0.00204754i
\(703\) 35092.2i 1.88269i
\(704\) 1496.37 + 4468.80i 0.0801086 + 0.239239i
\(705\) −20061.4 + 14646.8i −1.07171 + 0.782457i
\(706\) −17877.1 9739.27i −0.952992 0.519182i
\(707\) 10038.0 3653.54i 0.533972 0.194350i
\(708\) −1263.91 + 3287.61i −0.0670914 + 0.174514i
\(709\) 2023.37 + 11475.1i 0.107178 + 0.607836i 0.990328 + 0.138746i \(0.0443070\pi\)
−0.883150 + 0.469090i \(0.844582\pi\)
\(710\) −4219.49 + 852.241i −0.223035 + 0.0450479i
\(711\) 25132.4 + 19448.0i 1.32565 + 1.02582i
\(712\) 1395.11 + 18744.7i 0.0734324 + 0.986641i
\(713\) 3173.53 8719.20i 0.166690 0.457976i
\(714\) 8261.51 1095.28i 0.433024 0.0574089i
\(715\) 3597.88 4287.79i 0.188186 0.224272i
\(716\) 1756.11 + 7706.11i 0.0916606 + 0.402222i
\(717\) −2219.90 + 32843.2i −0.115626 + 1.71067i
\(718\) −4270.35 3406.67i −0.221961 0.177070i
\(719\) 7426.34 12862.8i 0.385196 0.667179i −0.606601 0.795007i \(-0.707467\pi\)
0.991796 + 0.127828i \(0.0408006\pi\)
\(720\) 30642.6 16253.0i 1.58608 0.841269i
\(721\) 5178.91 + 8970.14i 0.267507 + 0.463336i
\(722\) −4304.06 + 28522.7i −0.221857 + 1.47023i
\(723\) 21849.0 22730.8i 1.12389 1.16925i
\(724\) 16244.4 + 5016.78i 0.833865 + 0.257524i
\(725\) −70815.1 12486.6i −3.62760 0.639643i
\(726\) 17885.9 + 3948.16i 0.914336 + 0.201832i
\(727\) 13767.3 + 16407.2i 0.702340 + 0.837016i 0.992789 0.119875i \(-0.0382493\pi\)
−0.290449 + 0.956890i \(0.593805\pi\)
\(728\) 10364.9 7058.93i 0.527677 0.359370i
\(729\) 15760.9 11790.4i 0.800738 0.599014i
\(730\) −12314.4 + 36631.2i −0.624349 + 1.85724i
\(731\) 8365.08 7019.13i 0.423247 0.355146i
\(732\) −29431.3 17704.5i −1.48608 0.893956i
\(733\) 3721.47 21105.5i 0.187525 1.06351i −0.735143 0.677912i \(-0.762885\pi\)
0.922668 0.385595i \(-0.126004\pi\)
\(734\) 210.257 + 8488.94i 0.0105732 + 0.426883i
\(735\) −626.897 602.577i −0.0314605 0.0302400i
\(736\) 9323.16 1160.29i 0.466924 0.0581101i
\(737\) −4068.33 + 2348.85i −0.203336 + 0.117396i
\(738\) 477.743 4317.16i 0.0238292 0.215335i
\(739\) −24791.7 14313.5i −1.23407 0.712490i −0.266194 0.963920i \(-0.585766\pi\)
−0.967876 + 0.251429i \(0.919099\pi\)
\(740\) 36253.0 23397.2i 1.80093 1.16230i
\(741\) −20512.5 1386.46i −1.01693 0.0687351i
\(742\) −11445.0 18736.0i −0.566250 0.926982i
\(743\) −2840.45 2383.42i −0.140250 0.117684i 0.569964 0.821670i \(-0.306957\pi\)
−0.710214 + 0.703986i \(0.751402\pi\)
\(744\) −10385.9 + 18274.9i −0.511783 + 0.900524i
\(745\) −28112.4 10232.1i −1.38250 0.503188i
\(746\) 6919.85 6104.71i 0.339616 0.299610i
\(747\) 3518.75 4547.22i 0.172349 0.222723i
\(748\) −2264.63 284.577i −0.110699 0.0139107i
\(749\) 15596.9 2750.16i 0.760881 0.134164i
\(750\) 45073.4 + 1926.92i 2.19446 + 0.0938150i
\(751\) −1069.03 2937.14i −0.0519434 0.142713i 0.911008 0.412389i \(-0.135306\pi\)
−0.962951 + 0.269676i \(0.913083\pi\)
\(752\) 15166.7 1507.24i 0.735469 0.0730896i
\(753\) −6372.31 8727.99i −0.308393 0.422398i
\(754\) −8096.04 20638.7i −0.391035 0.996839i
\(755\) 21251.1 1.02438
\(756\)