Properties

Label 27.4.e.a.4.1
Level 27
Weight 4
Character 27.4
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 4.1
Character \(\chi\) = 27.4
Dual form 27.4.e.a.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.97861 - 1.81207i) q^{2} +(-3.67671 - 3.67176i) q^{3} +(15.3746 + 12.9008i) q^{4} +(-1.82513 + 10.3508i) q^{5} +(11.6515 + 24.9427i) q^{6} +(-5.92244 + 4.96952i) q^{7} +(-31.9745 - 55.3815i) q^{8} +(0.0364268 + 27.0000i) q^{9} +O(q^{10})\) \(q+(-4.97861 - 1.81207i) q^{2} +(-3.67671 - 3.67176i) q^{3} +(15.3746 + 12.9008i) q^{4} +(-1.82513 + 10.3508i) q^{5} +(11.6515 + 24.9427i) q^{6} +(-5.92244 + 4.96952i) q^{7} +(-31.9745 - 55.3815i) q^{8} +(0.0364268 + 27.0000i) q^{9} +(27.8430 - 48.2255i) q^{10} +(2.99161 + 16.9662i) q^{11} +(-9.15933 - 103.884i) q^{12} +(-67.4795 + 24.5605i) q^{13} +(38.4906 - 14.0094i) q^{14} +(44.7163 - 31.3556i) q^{15} +(30.9527 + 175.541i) q^{16} +(-23.3676 + 40.4738i) q^{17} +(48.7444 - 134.488i) q^{18} +(-21.3371 - 36.9569i) q^{19} +(-161.595 + 135.595i) q^{20} +(40.0220 + 3.47427i) q^{21} +(15.8499 - 89.8892i) q^{22} +(36.3731 + 30.5207i) q^{23} +(-85.7862 + 321.025i) q^{24} +(13.6527 + 4.96918i) q^{25} +380.460 q^{26} +(99.0034 - 99.4049i) q^{27} -155.166 q^{28} +(-139.582 - 50.8038i) q^{29} +(-279.443 + 75.0787i) q^{30} +(-120.570 - 101.170i) q^{31} +(75.1539 - 426.219i) q^{32} +(51.2966 - 73.3644i) q^{33} +(189.679 - 159.160i) q^{34} +(-40.6295 - 70.3723i) q^{35} +(-347.762 + 415.584i) q^{36} +(35.3750 - 61.2713i) q^{37} +(39.2606 + 222.658i) q^{38} +(338.283 + 157.466i) q^{39} +(631.603 - 229.885i) q^{40} +(-219.420 + 79.8623i) q^{41} +(-192.958 - 89.8195i) q^{42} +(71.5802 + 405.951i) q^{43} +(-172.884 + 299.444i) q^{44} +(-279.539 - 48.9015i) q^{45} +(-125.782 - 217.861i) q^{46} +(327.908 - 275.147i) q^{47} +(530.740 - 759.065i) q^{48} +(-49.1821 + 278.926i) q^{49} +(-58.9671 - 49.4792i) q^{50} +(234.526 - 63.0106i) q^{51} +(-1354.32 - 492.933i) q^{52} +43.9296 q^{53} +(-673.027 + 315.498i) q^{54} -181.075 q^{55} +(464.587 + 169.096i) q^{56} +(-57.2464 + 214.224i) q^{57} +(602.866 + 505.864i) q^{58} +(-57.9243 + 328.505i) q^{59} +(1092.01 + 94.7962i) q^{60} +(292.335 - 245.298i) q^{61} +(416.943 + 722.167i) q^{62} +(-134.393 - 159.725i) q^{63} +(-433.502 + 750.847i) q^{64} +(-131.063 - 743.296i) q^{65} +(-388.327 + 272.300i) q^{66} +(-230.604 + 83.9331i) q^{67} +(-881.413 + 320.808i) q^{68} +(-21.6691 - 245.769i) q^{69} +(74.7591 + 423.980i) q^{70} +(403.252 - 698.452i) q^{71} +(1494.14 - 865.329i) q^{72} +(175.470 + 303.922i) q^{73} +(-287.146 + 240.944i) q^{74} +(-31.9515 - 68.3997i) q^{75} +(148.726 - 843.464i) q^{76} +(-102.032 - 85.6147i) q^{77} +(-1398.84 - 1396.95i) q^{78} +(999.930 + 363.945i) q^{79} -1873.49 q^{80} +(-728.997 + 1.96705i) q^{81} +1237.12 q^{82} +(-959.423 - 349.201i) q^{83} +(570.502 + 569.733i) q^{84} +(-376.289 - 315.744i) q^{85} +(379.241 - 2150.78i) q^{86} +(326.665 + 699.303i) q^{87} +(843.961 - 708.167i) q^{88} +(320.730 + 555.520i) q^{89} +(1303.10 + 750.005i) q^{90} +(277.590 - 480.799i) q^{91} +(165.481 + 938.488i) q^{92} +(71.8288 + 814.676i) q^{93} +(-2131.11 + 775.661i) q^{94} +(421.478 - 153.406i) q^{95} +(-1841.29 + 1291.14i) q^{96} +(60.5209 + 343.231i) q^{97} +(750.290 - 1299.54i) q^{98} +(-457.979 + 81.3913i) 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.97861 1.81207i −1.76020 0.640662i −0.760245 0.649637i \(-0.774921\pi\)
−0.999960 + 0.00897504i \(0.997143\pi\)
\(3\) −3.67671 3.67176i −0.707584 0.706630i
\(4\) 15.3746 + 12.9008i 1.92183 + 1.61260i
\(5\) −1.82513 + 10.3508i −0.163245 + 0.925808i 0.787611 + 0.616173i \(0.211318\pi\)
−0.950856 + 0.309635i \(0.899793\pi\)
\(6\) 11.6515 + 24.9427i 0.792781 + 1.69713i
\(7\) −5.92244 + 4.96952i −0.319782 + 0.268329i −0.788521 0.615008i \(-0.789153\pi\)
0.468739 + 0.883337i \(0.344708\pi\)
\(8\) −31.9745 55.3815i −1.41309 2.44754i
\(9\) 0.0364268 + 27.0000i 0.00134914 + 0.999999i
\(10\) 27.8430 48.2255i 0.880474 1.52503i
\(11\) 2.99161 + 16.9662i 0.0820003 + 0.465047i 0.997964 + 0.0637848i \(0.0203171\pi\)
−0.915963 + 0.401262i \(0.868572\pi\)
\(12\) −9.15933 103.884i −0.220339 2.49907i
\(13\) −67.4795 + 24.5605i −1.43965 + 0.523990i −0.939681 0.342053i \(-0.888878\pi\)
−0.499970 + 0.866043i \(0.666656\pi\)
\(14\) 38.4906 14.0094i 0.734790 0.267442i
\(15\) 44.7163 31.3556i 0.769712 0.539733i
\(16\) 30.9527 + 175.541i 0.483635 + 2.74283i
\(17\) −23.3676 + 40.4738i −0.333380 + 0.577432i −0.983172 0.182680i \(-0.941523\pi\)
0.649792 + 0.760112i \(0.274856\pi\)
\(18\) 48.7444 134.488i 0.638287 1.76107i
\(19\) −21.3371 36.9569i −0.257635 0.446237i 0.707973 0.706239i \(-0.249610\pi\)
−0.965608 + 0.260003i \(0.916276\pi\)
\(20\) −161.595 + 135.595i −1.80669 + 1.51599i
\(21\) 40.0220 + 3.47427i 0.415882 + 0.0361023i
\(22\) 15.8499 89.8892i 0.153600 0.871111i
\(23\) 36.3731 + 30.5207i 0.329753 + 0.276696i 0.792599 0.609743i \(-0.208727\pi\)
−0.462846 + 0.886439i \(0.653172\pi\)
\(24\) −85.7862 + 321.025i −0.729627 + 2.73037i
\(25\) 13.6527 + 4.96918i 0.109222 + 0.0397535i
\(26\) 380.460 2.86978
\(27\) 99.0034 99.4049i 0.705674 0.708536i
\(28\) −155.166 −1.04727
\(29\) −139.582 50.8038i −0.893785 0.325311i −0.146026 0.989281i \(-0.546648\pi\)
−0.747760 + 0.663969i \(0.768870\pi\)
\(30\) −279.443 + 75.0787i −1.70064 + 0.456914i
\(31\) −120.570 101.170i −0.698548 0.586151i 0.222812 0.974861i \(-0.428476\pi\)
−0.921360 + 0.388710i \(0.872921\pi\)
\(32\) 75.1539 426.219i 0.415171 2.35455i
\(33\) 51.2966 73.3644i 0.270594 0.387003i
\(34\) 189.679 159.160i 0.956756 0.802814i
\(35\) −40.6295 70.3723i −0.196218 0.339860i
\(36\) −347.762 + 415.584i −1.61001 + 1.92400i
\(37\) 35.3750 61.2713i 0.157179 0.272242i −0.776671 0.629906i \(-0.783093\pi\)
0.933850 + 0.357664i \(0.116427\pi\)
\(38\) 39.2606 + 222.658i 0.167603 + 0.950524i
\(39\) 338.283 + 157.466i 1.38894 + 0.646533i
\(40\) 631.603 229.885i 2.49663 0.908700i
\(41\) −219.420 + 79.8623i −0.835796 + 0.304205i −0.724235 0.689553i \(-0.757807\pi\)
−0.111561 + 0.993758i \(0.535585\pi\)
\(42\) −192.958 89.8195i −0.708907 0.329987i
\(43\) 71.5802 + 405.951i 0.253858 + 1.43970i 0.798988 + 0.601347i \(0.205369\pi\)
−0.545131 + 0.838351i \(0.683520\pi\)
\(44\) −172.884 + 299.444i −0.592346 + 1.02597i
\(45\) −279.539 48.9015i −0.926027 0.161996i
\(46\) −125.782 217.861i −0.403165 0.698301i
\(47\) 327.908 275.147i 1.01767 0.853923i 0.0283334 0.999599i \(-0.490980\pi\)
0.989332 + 0.145676i \(0.0465356\pi\)
\(48\) 530.740 759.065i 1.59595 2.28253i
\(49\) −49.1821 + 278.926i −0.143388 + 0.813194i
\(50\) −58.9671 49.4792i −0.166784 0.139948i
\(51\) 234.526 63.0106i 0.643925 0.173005i
\(52\) −1354.32 492.933i −3.61175 1.31457i
\(53\) 43.9296 0.113853 0.0569263 0.998378i \(-0.481870\pi\)
0.0569263 + 0.998378i \(0.481870\pi\)
\(54\) −673.027 + 315.498i −1.69606 + 0.795070i
\(55\) −181.075 −0.443930
\(56\) 464.587 + 169.096i 1.10863 + 0.403507i
\(57\) −57.2464 + 214.224i −0.133026 + 0.497802i
\(58\) 602.866 + 505.864i 1.36483 + 1.14523i
\(59\) −57.9243 + 328.505i −0.127815 + 0.724876i 0.851781 + 0.523899i \(0.175523\pi\)
−0.979596 + 0.200978i \(0.935588\pi\)
\(60\) 1092.01 + 94.7962i 2.34963 + 0.203969i
\(61\) 292.335 245.298i 0.613601 0.514872i −0.282184 0.959360i \(-0.591059\pi\)
0.895785 + 0.444488i \(0.146614\pi\)
\(62\) 416.943 + 722.167i 0.854062 + 1.47928i
\(63\) −134.393 159.725i −0.268760 0.319420i
\(64\) −433.502 + 750.847i −0.846683 + 1.46650i
\(65\) −131.063 743.296i −0.250098 1.41838i
\(66\) −388.327 + 272.300i −0.724238 + 0.507846i
\(67\) −230.604 + 83.9331i −0.420490 + 0.153046i −0.543595 0.839348i \(-0.682937\pi\)
0.123105 + 0.992394i \(0.460715\pi\)
\(68\) −881.413 + 320.808i −1.57187 + 0.572113i
\(69\) −21.6691 245.769i −0.0378065 0.428799i
\(70\) 74.7591 + 423.980i 0.127649 + 0.723932i
\(71\) 403.252 698.452i 0.674045 1.16748i −0.302703 0.953085i \(-0.597889\pi\)
0.976747 0.214394i \(-0.0687778\pi\)
\(72\) 1494.14 865.329i 2.44563 1.41639i
\(73\) 175.470 + 303.922i 0.281331 + 0.487280i 0.971713 0.236166i \(-0.0758908\pi\)
−0.690382 + 0.723445i \(0.742557\pi\)
\(74\) −287.146 + 240.944i −0.451081 + 0.378502i
\(75\) −31.9515 68.3997i −0.0491925 0.105308i
\(76\) 148.726 843.464i 0.224474 1.27305i
\(77\) −102.032 85.6147i −0.151008 0.126710i
\(78\) −1398.84 1396.95i −2.03061 2.02787i
\(79\) 999.930 + 363.945i 1.42406 + 0.518316i 0.935223 0.354058i \(-0.115199\pi\)
0.488838 + 0.872374i \(0.337421\pi\)
\(80\) −1873.49 −2.61829
\(81\) −728.997 + 1.96705i −0.999996 + 0.00269828i
\(82\) 1237.12 1.66606
\(83\) −959.423 349.201i −1.26880 0.461805i −0.382087 0.924126i \(-0.624794\pi\)
−0.886712 + 0.462321i \(0.847017\pi\)
\(84\) 570.502 + 569.733i 0.741034 + 0.740035i
\(85\) −376.289 315.744i −0.480168 0.402909i
\(86\) 379.241 2150.78i 0.475518 2.69680i
\(87\) 326.665 + 699.303i 0.402553 + 0.861760i
\(88\) 843.961 708.167i 1.02235 0.857851i
\(89\) 320.730 + 555.520i 0.381992 + 0.661629i 0.991347 0.131268i \(-0.0419049\pi\)
−0.609355 + 0.792897i \(0.708572\pi\)
\(90\) 1303.10 + 750.005i 1.52621 + 0.878416i
\(91\) 277.590 480.799i 0.319773 0.553862i
\(92\) 165.481 + 938.488i 0.187528 + 1.06352i
\(93\) 71.8288 + 814.676i 0.0800892 + 0.908366i
\(94\) −2131.11 + 775.661i −2.33838 + 0.851099i
\(95\) 421.478 153.406i 0.455187 0.165674i
\(96\) −1841.29 + 1291.14i −1.95756 + 1.37267i
\(97\) 60.5209 + 343.231i 0.0633501 + 0.359277i 0.999960 + 0.00890345i \(0.00283410\pi\)
−0.936610 + 0.350373i \(0.886055\pi\)
\(98\) 750.290 1299.54i 0.773375 1.33952i
\(99\) −457.979 + 81.3913i −0.464936 + 0.0826276i
\(100\) 145.799 + 252.531i 0.145799 + 0.252531i
\(101\) −98.7810 + 82.8871i −0.0973176 + 0.0816592i −0.690148 0.723668i \(-0.742455\pi\)
0.592831 + 0.805327i \(0.298010\pi\)
\(102\) −1281.79 111.271i −1.24428 0.108014i
\(103\) −52.2596 + 296.379i −0.0499932 + 0.283525i −0.999548 0.0300770i \(-0.990425\pi\)
0.949554 + 0.313602i \(0.101536\pi\)
\(104\) 3517.83 + 2951.81i 3.31684 + 2.78316i
\(105\) −109.007 + 407.920i −0.101314 + 0.379133i
\(106\) −218.708 79.6033i −0.200404 0.0729411i
\(107\) −117.488 −0.106149 −0.0530746 0.998591i \(-0.516902\pi\)
−0.0530746 + 0.998591i \(0.516902\pi\)
\(108\) 2804.54 251.086i 2.49877 0.223711i
\(109\) −1412.88 −1.24156 −0.620778 0.783987i \(-0.713183\pi\)
−0.620778 + 0.783987i \(0.713183\pi\)
\(110\) 901.501 + 328.120i 0.781407 + 0.284409i
\(111\) −355.037 + 95.3886i −0.303591 + 0.0815665i
\(112\) −1055.67 885.813i −0.890639 0.747335i
\(113\) −386.315 + 2190.90i −0.321606 + 1.82392i 0.210918 + 0.977504i \(0.432355\pi\)
−0.532524 + 0.846415i \(0.678756\pi\)
\(114\) 673.196 962.806i 0.553076 0.791009i
\(115\) −382.301 + 320.788i −0.309998 + 0.260119i
\(116\) −1490.61 2581.82i −1.19310 2.06651i
\(117\) −665.592 1821.05i −0.525932 1.43894i
\(118\) 883.655 1530.53i 0.689381 1.19404i
\(119\) −62.7424 355.830i −0.0483326 0.274108i
\(120\) −3166.31 1473.87i −2.40869 1.12121i
\(121\) 971.827 353.716i 0.730148 0.265752i
\(122\) −1899.92 + 691.513i −1.40992 + 0.513169i
\(123\) 1099.98 + 512.026i 0.806356 + 0.375348i
\(124\) −548.536 3110.90i −0.397258 2.25296i
\(125\) −733.261 + 1270.05i −0.524679 + 0.908770i
\(126\) 379.657 + 1038.74i 0.268433 + 0.734428i
\(127\) −22.1073 38.2910i −0.0154465 0.0267542i 0.858199 0.513317i \(-0.171584\pi\)
−0.873645 + 0.486563i \(0.838250\pi\)
\(128\) 866.504 727.083i 0.598351 0.502076i
\(129\) 1227.37 1755.39i 0.837708 1.19809i
\(130\) −694.389 + 3938.08i −0.468477 + 2.65686i
\(131\) 933.316 + 783.145i 0.622475 + 0.522319i 0.898580 0.438809i \(-0.144599\pi\)
−0.276105 + 0.961127i \(0.589044\pi\)
\(132\) 1735.13 466.181i 1.14412 0.307393i
\(133\) 310.026 + 112.840i 0.202125 + 0.0735675i
\(134\) 1300.18 0.838198
\(135\) 848.230 + 1206.20i 0.540771 + 0.768984i
\(136\) 2988.67 1.88438
\(137\) 2196.19 + 799.346i 1.36958 + 0.498487i 0.919004 0.394249i \(-0.128995\pi\)
0.450579 + 0.892737i \(0.351218\pi\)
\(138\) −337.468 + 1262.85i −0.208168 + 0.778995i
\(139\) −1556.50 1306.06i −0.949791 0.796969i 0.0294717 0.999566i \(-0.490618\pi\)
−0.979262 + 0.202597i \(0.935062\pi\)
\(140\) 283.199 1606.10i 0.170962 0.969574i
\(141\) −2215.90 192.360i −1.32349 0.114891i
\(142\) −3273.27 + 2746.60i −1.93442 + 1.62317i
\(143\) −618.572 1071.40i −0.361731 0.626537i
\(144\) −4738.48 + 842.115i −2.74218 + 0.487335i
\(145\) 780.618 1352.07i 0.447082 0.774368i
\(146\) −322.868 1831.07i −0.183019 1.03795i
\(147\) 1204.98 844.945i 0.676086 0.474081i
\(148\) 1334.33 485.656i 0.741088 0.269734i
\(149\) 308.716 112.363i 0.169738 0.0617797i −0.255753 0.966742i \(-0.582323\pi\)
0.425492 + 0.904962i \(0.360101\pi\)
\(150\) 35.1293 + 398.434i 0.0191219 + 0.216880i
\(151\) −58.5847 332.251i −0.0315732 0.179061i 0.964943 0.262459i \(-0.0845336\pi\)
−0.996516 + 0.0833988i \(0.973422\pi\)
\(152\) −1364.49 + 2363.36i −0.728122 + 1.26114i
\(153\) −1093.64 629.449i −0.577881 0.332601i
\(154\) 352.836 + 611.131i 0.184626 + 0.319781i
\(155\) 1267.25 1063.35i 0.656698 0.551035i
\(156\) 3169.53 + 6785.12i 1.62670 + 3.48233i
\(157\) 621.913 3527.04i 0.316141 1.79292i −0.249611 0.968346i \(-0.580303\pi\)
0.565751 0.824576i \(-0.308586\pi\)
\(158\) −4318.77 3623.88i −2.17457 1.82468i
\(159\) −161.516 161.299i −0.0805603 0.0804517i
\(160\) 4274.56 + 1555.81i 2.11209 + 0.768736i
\(161\) −367.091 −0.179695
\(162\) 3632.96 + 1311.20i 1.76193 + 0.635910i
\(163\) −3292.80 −1.58228 −0.791142 0.611633i \(-0.790513\pi\)
−0.791142 + 0.611633i \(0.790513\pi\)
\(164\) −4403.79 1602.85i −2.09682 0.763179i
\(165\) 665.760 + 664.863i 0.314117 + 0.313694i
\(166\) 4143.82 + 3477.07i 1.93748 + 1.62574i
\(167\) 266.163 1509.49i 0.123331 0.699447i −0.858954 0.512053i \(-0.828885\pi\)
0.982285 0.187393i \(-0.0600039\pi\)
\(168\) −1087.27 2327.57i −0.499316 1.06890i
\(169\) 2267.27 1902.46i 1.03198 0.865937i
\(170\) 1301.25 + 2253.83i 0.587066 + 1.01683i
\(171\) 997.058 577.447i 0.445889 0.258237i
\(172\) −4136.59 + 7164.79i −1.83379 + 3.17622i
\(173\) 443.834 + 2517.11i 0.195052 + 1.10620i 0.912344 + 0.409424i \(0.134270\pi\)
−0.717292 + 0.696773i \(0.754619\pi\)
\(174\) −359.154 4073.49i −0.156479 1.77477i
\(175\) −105.552 + 38.4178i −0.0455941 + 0.0165949i
\(176\) −2885.68 + 1050.30i −1.23589 + 0.449826i
\(177\) 1419.16 995.134i 0.602659 0.422592i
\(178\) −590.149 3346.90i −0.248503 1.40933i
\(179\) −1334.64 + 2311.66i −0.557292 + 0.965259i 0.440429 + 0.897788i \(0.354826\pi\)
−0.997721 + 0.0674712i \(0.978507\pi\)
\(180\) −3666.93 4358.13i −1.51843 1.80464i
\(181\) 2344.91 + 4061.51i 0.962961 + 1.66790i 0.714997 + 0.699128i \(0.246428\pi\)
0.247964 + 0.968769i \(0.420238\pi\)
\(182\) −2253.25 + 1890.70i −0.917704 + 0.770045i
\(183\) −1975.51 171.492i −0.797997 0.0692733i
\(184\) 527.268 2990.29i 0.211254 1.19808i
\(185\) 569.645 + 477.989i 0.226385 + 0.189959i
\(186\) 1118.64 4186.11i 0.440982 1.65022i
\(187\) −756.595 275.378i −0.295870 0.107688i
\(188\) 8591.09 3.33282
\(189\) −92.3473 + 1080.72i −0.0355411 + 0.415930i
\(190\) −2376.36 −0.907363
\(191\) −701.355 255.272i −0.265698 0.0967060i 0.205736 0.978608i \(-0.434041\pi\)
−0.471434 + 0.881901i \(0.656263\pi\)
\(192\) 4350.79 1168.94i 1.63537 0.439379i
\(193\) 1817.39 + 1524.97i 0.677816 + 0.568755i 0.915367 0.402620i \(-0.131900\pi\)
−0.237551 + 0.971375i \(0.576345\pi\)
\(194\) 320.647 1818.48i 0.118666 0.672986i
\(195\) −2247.32 + 3214.12i −0.825302 + 1.18035i
\(196\) −4354.53 + 3653.88i −1.58693 + 1.33159i
\(197\) −106.817 185.012i −0.0386313 0.0669114i 0.846063 0.533082i \(-0.178966\pi\)
−0.884695 + 0.466171i \(0.845633\pi\)
\(198\) 2427.58 + 424.673i 0.871318 + 0.152425i
\(199\) −495.139 + 857.607i −0.176379 + 0.305498i −0.940638 0.339412i \(-0.889772\pi\)
0.764258 + 0.644910i \(0.223105\pi\)
\(200\) −161.338 914.996i −0.0570418 0.323500i
\(201\) 1156.05 + 538.125i 0.405678 + 0.188838i
\(202\) 641.989 233.665i 0.223615 0.0813891i
\(203\) 1079.14 392.774i 0.373107 0.135800i
\(204\) 4418.63 + 2056.81i 1.51650 + 0.705911i
\(205\) −426.172 2416.94i −0.145196 0.823446i
\(206\) 797.239 1380.86i 0.269642 0.467034i
\(207\) −822.733 + 983.186i −0.276251 + 0.330126i
\(208\) −6400.06 11085.2i −2.13348 3.69530i
\(209\) 563.187 472.570i 0.186395 0.156404i
\(210\) 1281.88 1833.35i 0.421230 0.602443i
\(211\) −32.5611 + 184.663i −0.0106237 + 0.0602499i −0.989659 0.143442i \(-0.954183\pi\)
0.979035 + 0.203692i \(0.0652941\pi\)
\(212\) 675.400 + 566.728i 0.218805 + 0.183599i
\(213\) −4047.19 + 1087.37i −1.30192 + 0.349789i
\(214\) 584.925 + 212.895i 0.186844 + 0.0680057i
\(215\) −4332.58 −1.37432
\(216\) −8670.78 2304.53i −2.73135 0.725942i
\(217\) 1216.84 0.380664
\(218\) 7034.19 + 2560.24i 2.18539 + 0.795417i
\(219\) 470.777 1761.72i 0.145261 0.543588i
\(220\) −2783.96 2336.02i −0.853156 0.715883i
\(221\) 582.774 3305.07i 0.177383 1.00599i
\(222\) 1940.44 + 168.448i 0.586639 + 0.0509255i
\(223\) −4364.88 + 3662.57i −1.31073 + 1.09984i −0.322553 + 0.946551i \(0.604541\pi\)
−0.988182 + 0.153286i \(0.951015\pi\)
\(224\) 1673.01 + 2897.74i 0.499030 + 0.864345i
\(225\) −133.670 + 368.804i −0.0396061 + 0.109275i
\(226\) 5893.37 10207.6i 1.73461 3.00443i
\(227\) 37.0599 + 210.177i 0.0108359 + 0.0614534i 0.989746 0.142837i \(-0.0456224\pi\)
−0.978910 + 0.204290i \(0.934511\pi\)
\(228\) −3643.82 + 2555.09i −1.05841 + 0.742171i
\(229\) 234.649 85.4054i 0.0677121 0.0246452i −0.307942 0.951405i \(-0.599640\pi\)
0.375654 + 0.926760i \(0.377418\pi\)
\(230\) 2484.62 904.326i 0.712307 0.259259i
\(231\) 60.7847 + 689.416i 0.0173132 + 0.196365i
\(232\) 1649.49 + 9354.71i 0.466785 + 2.64727i
\(233\) 1003.25 1737.68i 0.282082 0.488580i −0.689815 0.723985i \(-0.742308\pi\)
0.971897 + 0.235405i \(0.0756417\pi\)
\(234\) 13.8589 + 10272.4i 0.00387174 + 2.86978i
\(235\) 2249.53 + 3896.30i 0.624440 + 1.08156i
\(236\) −5128.55 + 4303.36i −1.41458 + 1.18697i
\(237\) −2340.14 5009.62i −0.641385 1.37304i
\(238\) −332.417 + 1885.23i −0.0905352 + 0.513451i
\(239\) 425.681 + 357.189i 0.115209 + 0.0966720i 0.698572 0.715540i \(-0.253819\pi\)
−0.583363 + 0.812212i \(0.698264\pi\)
\(240\) 6888.29 + 6879.01i 1.85266 + 1.85016i
\(241\) 1581.82 + 575.735i 0.422797 + 0.153885i 0.544651 0.838663i \(-0.316662\pi\)
−0.121855 + 0.992548i \(0.538884\pi\)
\(242\) −5479.31 −1.45547
\(243\) 2687.54 + 2669.47i 0.709488 + 0.704718i
\(244\) 7659.08 2.00952
\(245\) −2797.35 1018.15i −0.729454 0.265500i
\(246\) −4548.54 4542.41i −1.17888 1.17729i
\(247\) 2347.50 + 1969.78i 0.604728 + 0.507427i
\(248\) −1747.79 + 9912.21i −0.447519 + 2.53801i
\(249\) 2245.34 + 4806.68i 0.571456 + 1.22334i
\(250\) 5952.02 4994.34i 1.50576 1.26348i
\(251\) −2273.12 3937.15i −0.571625 0.990083i −0.996399 0.0847837i \(-0.972980\pi\)
0.424775 0.905299i \(-0.360353\pi\)
\(252\) −5.65221 4189.49i −0.00141292 1.04727i
\(253\) −409.007 + 708.421i −0.101637 + 0.176040i
\(254\) 40.6779 + 230.696i 0.0100487 + 0.0569888i
\(255\) 224.172 + 2542.54i 0.0550517 + 0.624393i
\(256\) 886.225 322.560i 0.216364 0.0787499i
\(257\) 271.381 98.7746i 0.0658688 0.0239743i −0.308876 0.951102i \(-0.599953\pi\)
0.374744 + 0.927128i \(0.377730\pi\)
\(258\) −9291.50 + 6515.33i −2.24211 + 1.57220i
\(259\) 94.9825 + 538.673i 0.0227874 + 0.129234i
\(260\) 7574.10 13118.7i 1.80664 3.12919i
\(261\) 1366.62 3770.57i 0.324105 0.894223i
\(262\) −3227.51 5590.21i −0.761054 1.31818i
\(263\) 5409.82 4539.37i 1.26838 1.06430i 0.273642 0.961832i \(-0.411772\pi\)
0.994737 0.102464i \(-0.0326726\pi\)
\(264\) −5703.22 495.091i −1.32958 0.115419i
\(265\) −80.1773 + 454.708i −0.0185859 + 0.105406i
\(266\) −1339.02 1123.57i −0.308650 0.258988i
\(267\) 860.503 3220.13i 0.197236 0.738085i
\(268\) −4628.26 1684.55i −1.05491 0.383956i
\(269\) −1328.59 −0.301135 −0.150567 0.988600i \(-0.548110\pi\)
−0.150567 + 0.988600i \(0.548110\pi\)
\(270\) −2037.30 7542.23i −0.459208 1.70002i
\(271\) −7645.70 −1.71381 −0.856906 0.515473i \(-0.827616\pi\)
−0.856906 + 0.515473i \(0.827616\pi\)
\(272\) −7828.11 2849.20i −1.74503 0.635140i
\(273\) −2786.00 + 748.520i −0.617641 + 0.165943i
\(274\) −9485.48 7959.27i −2.09138 1.75488i
\(275\) −43.4648 + 246.501i −0.00953100 + 0.0540530i
\(276\) 2837.47 4058.15i 0.618825 0.885044i
\(277\) 3555.09 2983.08i 0.771137 0.647061i −0.169863 0.985468i \(-0.554333\pi\)
0.941000 + 0.338407i \(0.109888\pi\)
\(278\) 5382.55 + 9322.86i 1.16124 + 2.01132i
\(279\) 2727.20 3259.07i 0.585208 0.699338i
\(280\) −2598.22 + 4500.25i −0.554547 + 0.960504i
\(281\) 1176.55 + 6672.53i 0.249775 + 1.41655i 0.809136 + 0.587622i \(0.199936\pi\)
−0.559360 + 0.828925i \(0.688953\pi\)
\(282\) 10683.5 + 4973.04i 2.25601 + 1.05014i
\(283\) 3336.58 1214.42i 0.700844 0.255087i 0.0330731 0.999453i \(-0.489471\pi\)
0.667771 + 0.744366i \(0.267248\pi\)
\(284\) 15210.5 5536.15i 3.17808 1.15673i
\(285\) −2112.92 983.537i −0.439153 0.204420i
\(286\) 1138.18 + 6454.97i 0.235323 + 1.33458i
\(287\) 902.625 1563.39i 0.185646 0.321547i
\(288\) 11510.6 + 2013.63i 2.35511 + 0.411994i
\(289\) 1364.41 + 2363.23i 0.277715 + 0.481016i
\(290\) −6336.43 + 5316.90i −1.28306 + 1.07662i
\(291\) 1037.74 1484.18i 0.209050 0.298983i
\(292\) −1223.07 + 6936.39i −0.245120 + 1.39014i
\(293\) −3307.11 2775.00i −0.659398 0.553300i 0.250509 0.968114i \(-0.419402\pi\)
−0.909906 + 0.414814i \(0.863847\pi\)
\(294\) −7530.20 + 2023.16i −1.49378 + 0.401336i
\(295\) −3294.58 1199.13i −0.650231 0.236665i
\(296\) −4524.40 −0.888430
\(297\) 1982.71 + 1382.33i 0.387368 + 0.270071i
\(298\) −1740.59 −0.338354
\(299\) −3204.05 1166.18i −0.619715 0.225558i
\(300\) 391.171 1463.82i 0.0752809 0.281712i
\(301\) −2441.31 2048.51i −0.467492 0.392272i
\(302\) −310.389 + 1760.30i −0.0591420 + 0.335411i
\(303\) 667.530 + 57.9476i 0.126563 + 0.0109868i
\(304\) 5827.02 4889.45i 1.09935 0.922465i
\(305\) 2005.49 + 3473.61i 0.376505 + 0.652126i
\(306\) 4304.22 + 5115.54i 0.804104 + 0.955672i
\(307\) 1988.83 3444.76i 0.369735 0.640400i −0.619789 0.784769i \(-0.712782\pi\)
0.989524 + 0.144369i \(0.0461151\pi\)
\(308\) −464.196 2632.59i −0.0858767 0.487031i
\(309\) 1280.38 897.816i 0.235722 0.165291i
\(310\) −8236.02 + 2997.66i −1.50895 + 0.549213i
\(311\) −257.322 + 93.6574i −0.0469176 + 0.0170766i −0.365372 0.930861i \(-0.619058\pi\)
0.318455 + 0.947938i \(0.396836\pi\)
\(312\) −2095.72 23769.6i −0.380279 4.31310i
\(313\) 757.654 + 4296.87i 0.136822 + 0.775954i 0.973574 + 0.228372i \(0.0733403\pi\)
−0.836752 + 0.547581i \(0.815549\pi\)
\(314\) −9487.50 + 16432.8i −1.70513 + 2.95337i
\(315\) 1898.57 1099.56i 0.339595 0.196677i
\(316\) 10678.3 + 18495.4i 1.90096 + 3.29256i
\(317\) −2682.95 + 2251.26i −0.475361 + 0.398875i −0.848745 0.528802i \(-0.822642\pi\)
0.373385 + 0.927677i \(0.378197\pi\)
\(318\) 511.843 + 1095.72i 0.0902602 + 0.193223i
\(319\) 444.374 2520.17i 0.0779943 0.442327i
\(320\) −6980.70 5857.50i −1.21948 1.02326i
\(321\) 431.968 + 431.386i 0.0751094 + 0.0750081i
\(322\) 1827.60 + 665.193i 0.316299 + 0.115124i
\(323\) 1994.38 0.343562
\(324\) −11233.4 9374.43i −1.92617 1.60741i
\(325\) −1043.32 −0.178072
\(326\) 16393.6 + 5966.77i 2.78514 + 1.01371i
\(327\) 5194.76 + 5187.76i 0.878504 + 0.877320i
\(328\) 11438.8 + 9598.25i 1.92561 + 1.61578i
\(329\) −574.666 + 3259.09i −0.0962989 + 0.546138i
\(330\) −2109.79 4516.49i −0.351939 0.753409i
\(331\) −1407.45 + 1180.99i −0.233718 + 0.196112i −0.752123 0.659022i \(-0.770970\pi\)
0.518406 + 0.855135i \(0.326526\pi\)
\(332\) −10245.8 17746.2i −1.69370 2.93358i
\(333\) 1655.61 + 952.892i 0.272453 + 0.156811i
\(334\) −4060.41 + 7032.84i −0.665197 + 1.15216i
\(335\) −447.895 2540.14i −0.0730481 0.414276i
\(336\) 628.910 + 7133.05i 0.102113 + 1.15815i
\(337\) −7159.67 + 2605.91i −1.15731 + 0.421225i −0.848134 0.529781i \(-0.822274\pi\)
−0.309172 + 0.951006i \(0.600052\pi\)
\(338\) −14735.2 + 5363.19i −2.37127 + 0.863073i
\(339\) 9464.83 6636.86i 1.51640 1.06332i
\(340\) −1711.94 9708.89i −0.273067 1.54864i
\(341\) 1355.78 2348.28i 0.215307 0.372922i
\(342\) −6010.34 + 1068.15i −0.950297 + 0.168885i
\(343\) −2420.75 4192.86i −0.381073 0.660039i
\(344\) 20193.5 16944.3i 3.16500 2.65575i
\(345\) 2583.47 + 224.268i 0.403157 + 0.0349976i
\(346\) 2351.49 13335.9i 0.365366 2.07209i
\(347\) 1615.14 + 1355.27i 0.249871 + 0.209667i 0.759117 0.650954i \(-0.225631\pi\)
−0.509246 + 0.860621i \(0.670075\pi\)
\(348\) −3999.25 + 14965.8i −0.616040 + 2.30531i
\(349\) −9721.75 3538.43i −1.49110 0.542716i −0.537360 0.843353i \(-0.680578\pi\)
−0.953739 + 0.300637i \(0.902801\pi\)
\(350\) 595.117 0.0908867
\(351\) −4239.26 + 9139.37i −0.644659 + 1.38981i
\(352\) 7456.16 1.12902
\(353\) −6092.76 2217.58i −0.918654 0.334363i −0.160951 0.986962i \(-0.551456\pi\)
−0.757703 + 0.652600i \(0.773678\pi\)
\(354\) −8868.69 + 2382.77i −1.33154 + 0.357748i
\(355\) 6493.58 + 5448.76i 0.970827 + 0.814621i
\(356\) −2235.58 + 12678.6i −0.332824 + 1.88754i
\(357\) −1075.83 + 1538.66i −0.159493 + 0.228108i
\(358\) 10833.5 9090.39i 1.59935 1.34202i
\(359\) 3087.26 + 5347.29i 0.453870 + 0.786126i 0.998622 0.0524709i \(-0.0167097\pi\)
−0.544752 + 0.838597i \(0.683376\pi\)
\(360\) 6229.89 + 17044.9i 0.912067 + 2.49540i
\(361\) 2518.96 4362.96i 0.367249 0.636093i
\(362\) −4314.68 24469.8i −0.626450 3.55277i
\(363\) −4871.89 2267.80i −0.704429 0.327902i
\(364\) 10470.5 3810.97i 1.50771 0.548761i
\(365\) −3466.11 + 1261.56i −0.497053 + 0.180913i
\(366\) 9524.51 + 4433.53i 1.36026 + 0.633182i
\(367\) −445.507 2526.60i −0.0633659 0.359366i −0.999960 0.00894945i \(-0.997151\pi\)
0.936594 0.350416i \(-0.113960\pi\)
\(368\) −4231.79 + 7329.68i −0.599450 + 1.03828i
\(369\) −2164.27 5921.42i −0.305332 0.835385i
\(370\) −1969.89 3411.96i −0.276784 0.479403i
\(371\) −260.171 + 218.309i −0.0364080 + 0.0305500i
\(372\) −9405.67 + 13452.0i −1.31092 + 1.87487i
\(373\) −1466.84 + 8318.89i −0.203620 + 1.15479i 0.695976 + 0.718065i \(0.254972\pi\)
−0.899596 + 0.436722i \(0.856139\pi\)
\(374\) 3267.79 + 2742.00i 0.451800 + 0.379105i
\(375\) 7359.28 1977.24i 1.01342 0.272277i
\(376\) −25722.8 9362.33i −3.52806 1.28411i
\(377\) 10666.7 1.45720
\(378\) 2418.10 5213.14i 0.329030 0.709352i
\(379\) 5435.86 0.736731 0.368366 0.929681i \(-0.379917\pi\)
0.368366 + 0.929681i \(0.379917\pi\)
\(380\) 8459.12 + 3078.87i 1.14196 + 0.415639i
\(381\) −59.3129 + 221.958i −0.00797557 + 0.0298458i
\(382\) 3029.20 + 2541.80i 0.405726 + 0.340445i
\(383\) 771.662 4376.31i 0.102951 0.583862i −0.889069 0.457774i \(-0.848647\pi\)
0.992019 0.126088i \(-0.0402421\pi\)
\(384\) −5855.56 508.315i −0.778165 0.0675517i
\(385\) 1072.41 899.856i 0.141961 0.119119i
\(386\) −6284.72 10885.5i −0.828715 1.43538i
\(387\) −10958.1 + 1947.45i −1.43935 + 0.255800i
\(388\) −3497.48 + 6057.81i −0.457623 + 0.792626i
\(389\) 1569.27 + 8899.75i 0.204537 + 1.15999i 0.898167 + 0.439655i \(0.144899\pi\)
−0.693629 + 0.720332i \(0.743989\pi\)
\(390\) 17012.7 11929.6i 2.20890 1.54891i
\(391\) −2085.24 + 758.965i −0.269706 + 0.0981651i
\(392\) 17019.9 6194.74i 2.19295 0.798167i
\(393\) −556.018 6306.31i −0.0713674 0.809443i
\(394\) 196.545 + 1114.66i 0.0251314 + 0.142527i
\(395\) −5592.14 + 9685.87i −0.712332 + 1.23379i
\(396\) −8091.27 4656.95i −1.02677 0.590961i
\(397\) −1572.55 2723.74i −0.198801 0.344334i 0.749339 0.662187i \(-0.230372\pi\)
−0.948140 + 0.317853i \(0.897038\pi\)
\(398\) 4019.15 3372.46i 0.506185 0.424740i
\(399\) −725.554 1553.22i −0.0910354 0.194883i
\(400\) −449.709 + 2550.42i −0.0562136 + 0.318803i
\(401\) −3836.22 3218.97i −0.477734 0.400867i 0.371872 0.928284i \(-0.378716\pi\)
−0.849606 + 0.527417i \(0.823160\pi\)
\(402\) −4780.39 4773.95i −0.593095 0.592296i
\(403\) 10620.8 + 3865.65i 1.31280 + 0.477821i
\(404\) −2588.03 −0.318711
\(405\) 1310.16 7549.33i 0.160746 0.926245i
\(406\) −6084.34 −0.743746
\(407\) 1145.37 + 416.881i 0.139494 + 0.0507716i
\(408\) −10988.5 10973.7i −1.33336 1.33156i
\(409\) −9402.56 7889.68i −1.13674 0.953838i −0.137413 0.990514i \(-0.543879\pi\)
−0.999327 + 0.0366758i \(0.988323\pi\)
\(410\) −2257.91 + 12805.3i −0.271976 + 1.54245i
\(411\) −5139.74 11002.8i −0.616848 1.32051i
\(412\) −4627.01 + 3882.52i −0.553292 + 0.464267i
\(413\) −1289.46 2233.41i −0.153632 0.266099i
\(414\) 5877.66 3404.05i 0.697757 0.404106i
\(415\) 5365.60 9293.50i 0.634668 1.09928i
\(416\) 5396.82 + 30606.9i 0.636060 + 3.60727i
\(417\) 927.277 + 10517.1i 0.108894 + 1.23507i
\(418\) −3660.22 + 1332.21i −0.428295 + 0.155887i
\(419\) −4345.44 + 1581.61i −0.506656 + 0.184408i −0.582685 0.812698i \(-0.697998\pi\)
0.0760294 + 0.997106i \(0.475776\pi\)
\(420\) −6938.45 + 4865.34i −0.806100 + 0.565248i
\(421\) 640.488 + 3632.39i 0.0741460 + 0.420503i 0.999175 + 0.0406068i \(0.0129291\pi\)
−0.925029 + 0.379896i \(0.875960\pi\)
\(422\) 496.730 860.362i 0.0572996 0.0992459i
\(423\) 7440.92 + 8843.48i 0.855295 + 1.01651i
\(424\) −1404.63 2432.89i −0.160884 0.278659i
\(425\) −520.153 + 436.460i −0.0593673 + 0.0498151i
\(426\) 22119.7 + 1920.19i 2.51574 + 0.218389i
\(427\) −512.323 + 2905.53i −0.0580633 + 0.329294i
\(428\) −1806.33 1515.69i −0.204000 0.171177i
\(429\) −1659.60 + 6210.47i −0.186775 + 0.698938i
\(430\) 21570.2 + 7850.92i 2.41909 + 0.880477i
\(431\) 9457.15 1.05693 0.528463 0.848956i \(-0.322769\pi\)
0.528463 + 0.848956i \(0.322769\pi\)
\(432\) 20514.1 + 14302.3i 2.28468 + 1.59287i
\(433\) 5424.25 0.602016 0.301008 0.953622i \(-0.402677\pi\)
0.301008 + 0.953622i \(0.402677\pi\)
\(434\) −6058.15 2204.99i −0.670047 0.243877i
\(435\) −7834.58 + 2104.94i −0.863539 + 0.232009i
\(436\) −21722.5 18227.4i −2.38605 2.00214i
\(437\) 351.854 1995.46i 0.0385159 0.218434i
\(438\) −5536.16 + 7917.82i −0.603945 + 0.863763i
\(439\) −5489.82 + 4606.51i −0.596845 + 0.500812i −0.890430 0.455121i \(-0.849596\pi\)
0.293585 + 0.955933i \(0.405152\pi\)
\(440\) 5789.79 + 10028.2i 0.627312 + 1.08654i
\(441\) −7532.78 1317.76i −0.813387 0.142291i
\(442\) −8890.42 + 15398.7i −0.956728 + 1.65710i
\(443\) −1218.10 6908.21i −0.130641 0.740901i −0.977797 0.209556i \(-0.932798\pi\)
0.847156 0.531345i \(-0.178313\pi\)
\(444\) −6689.15 3113.71i −0.714984 0.332815i
\(445\) −6335.47 + 2305.92i −0.674899 + 0.245643i
\(446\) 28367.8 10325.0i 3.01179 1.09620i
\(447\) −1547.63 720.402i −0.163759 0.0762278i
\(448\) −1163.96 6601.15i −0.122750 0.696149i
\(449\) 8938.47 15481.9i 0.939493 1.62725i 0.173073 0.984909i \(-0.444630\pi\)
0.766420 0.642340i \(-0.222036\pi\)
\(450\) 1333.79 1593.91i 0.139723 0.166973i
\(451\) −2011.38 3483.81i −0.210005 0.363739i
\(452\) −34203.9 + 28700.5i −3.55933 + 2.98663i
\(453\) −1004.54 + 1436.70i −0.104189 + 0.149011i
\(454\) 196.348 1113.54i 0.0202975 0.115113i
\(455\) 4470.04 + 3750.81i 0.460569 + 0.386463i
\(456\) 13694.5 3679.33i 1.40637 0.377852i
\(457\) 10778.5 + 3923.06i 1.10328 + 0.401560i 0.828523 0.559955i \(-0.189182\pi\)
0.274754 + 0.961515i \(0.411404\pi\)
\(458\) −1322.99 −0.134976
\(459\) 1709.83 + 6329.89i 0.173873 + 0.643691i
\(460\) −10016.2 −1.01523
\(461\) −3260.04 1186.56i −0.329361 0.119877i 0.172047 0.985089i \(-0.444962\pi\)
−0.501407 + 0.865211i \(0.667184\pi\)
\(462\) 946.644 3542.48i 0.0953287 0.356734i
\(463\) 1341.68 + 1125.80i 0.134672 + 0.113003i 0.707636 0.706578i \(-0.249762\pi\)
−0.572963 + 0.819581i \(0.694206\pi\)
\(464\) 4597.72 26075.0i 0.460008 2.60883i
\(465\) −8563.69 743.405i −0.854046 0.0741389i
\(466\) −8143.58 + 6833.27i −0.809536 + 0.679282i
\(467\) 1743.80 + 3020.36i 0.172792 + 0.299284i 0.939395 0.342837i \(-0.111388\pi\)
−0.766603 + 0.642121i \(0.778055\pi\)
\(468\) 13259.9 36584.7i 1.30969 3.61352i
\(469\) 948.634 1643.08i 0.0933984 0.161771i
\(470\) −4139.18 23474.5i −0.406226 2.30382i
\(471\) −15237.0 + 10684.4i −1.49063 + 1.04525i
\(472\) 20045.2 7295.86i 1.95478 0.711481i
\(473\) −6673.33 + 2428.89i −0.648710 + 0.236111i
\(474\) 2572.88 + 29181.4i 0.249317 + 2.82773i
\(475\) −107.663 610.590i −0.0103999 0.0589806i
\(476\) 3625.86 6280.17i 0.349141 0.604729i
\(477\) 1.60021 + 1186.10i 0.000153603 + 0.113853i
\(478\) −1472.05 2549.66i −0.140858 0.243973i
\(479\) −436.975 + 366.666i −0.0416825 + 0.0349757i −0.663391 0.748273i \(-0.730883\pi\)
0.621708 + 0.783249i \(0.286439\pi\)
\(480\) −10003.8 21415.4i −0.951265 2.03641i
\(481\) −882.232 + 5003.39i −0.0836306 + 0.474293i
\(482\) −6831.99 5732.72i −0.645620 0.541739i
\(483\) 1349.69 + 1347.87i 0.127149 + 0.126978i
\(484\) 19504.7 + 7099.13i 1.83177 + 0.666710i
\(485\) −3663.19 −0.342963
\(486\) −8542.94 18160.2i −0.797357 1.69499i
\(487\) 7682.70 0.714859 0.357429 0.933940i \(-0.383653\pi\)
0.357429 + 0.933940i \(0.383653\pi\)
\(488\) −22932.3 8346.66i −2.12724 0.774253i
\(489\) 12106.7 + 12090.4i 1.11960 + 1.11809i
\(490\) 12082.0 + 10138.0i 1.11389 + 0.934667i
\(491\) −1915.90 + 10865.6i −0.176096 + 0.998691i 0.760775 + 0.649016i \(0.224819\pi\)
−0.936871 + 0.349675i \(0.886292\pi\)
\(492\) 10306.2 + 22062.8i 0.944389 + 2.02169i
\(493\) 5317.92 4462.27i 0.485816 0.407648i
\(494\) −8117.90 14060.6i −0.739355 1.28060i
\(495\) −6.59598 4889.02i −0.000598924 0.443929i
\(496\) 14027.6 24296.5i 1.26987 2.19948i
\(497\) 1082.74 + 6140.51i 0.0977212 + 0.554205i
\(498\) −2468.65 27999.3i −0.222134 2.51943i
\(499\) 15257.5 5553.26i 1.36877 0.498192i 0.450017 0.893020i \(-0.351418\pi\)
0.918755 + 0.394828i \(0.129196\pi\)
\(500\) −27658.2 + 10066.8i −2.47383 + 0.900400i
\(501\) −6521.07 + 4572.66i −0.581517 + 0.407768i
\(502\) 4182.58 + 23720.6i 0.371868 + 2.10897i
\(503\) 2644.10 4579.72i 0.234383 0.405963i −0.724710 0.689054i \(-0.758026\pi\)
0.959093 + 0.283091i \(0.0913597\pi\)
\(504\) −4548.66 + 12550.0i −0.402011 + 1.10917i
\(505\) −677.663 1173.75i −0.0597141 0.103428i
\(506\) 3319.99 2785.80i 0.291683 0.244751i
\(507\) −15321.5 1330.04i −1.34211 0.116507i
\(508\) 154.094 873.912i 0.0134583 0.0763260i
\(509\) −361.081 302.983i −0.0314433 0.0263841i 0.626931 0.779075i \(-0.284311\pi\)
−0.658374 + 0.752691i \(0.728755\pi\)
\(510\) 3491.19 13064.5i 0.303122 1.13433i
\(511\) −2549.56 927.963i −0.220716 0.0803340i
\(512\) −14045.8 −1.21239
\(513\) −5786.14 1537.85i −0.497981 0.132354i
\(514\) −1530.09 −0.131302
\(515\) −2972.39 1081.86i −0.254329 0.0925681i
\(516\) 41516.4 11154.3i 3.54197 0.951630i
\(517\) 5649.19 + 4740.23i 0.480563 + 0.403240i
\(518\) 503.229 2853.96i 0.0426846 0.242076i
\(519\) 7610.35 10884.3i 0.643655 0.920556i
\(520\) −36974.2 + 31025.0i −3.11813 + 2.61642i
\(521\) 2841.59 + 4921.79i 0.238949 + 0.413872i 0.960413 0.278580i \(-0.0898637\pi\)
−0.721464 + 0.692452i \(0.756530\pi\)
\(522\) −13636.4 + 16295.8i −1.14339 + 1.36637i
\(523\) 296.307 513.218i 0.0247736 0.0429091i −0.853373 0.521301i \(-0.825447\pi\)
0.878146 + 0.478392i \(0.158780\pi\)
\(524\) 4246.15 + 24081.1i 0.353996 + 2.00761i
\(525\) 529.145 + 246.310i 0.0439881 + 0.0204759i
\(526\) −35159.0 + 12796.8i −2.91446 + 1.06078i
\(527\) 6912.17 2515.82i 0.571345 0.207952i
\(528\) 14466.2 + 6733.84i 1.19235 + 0.555024i
\(529\) −1721.28 9761.89i −0.141472 0.802325i
\(530\) 1223.13 2118.53i 0.100244 0.173628i
\(531\) −8871.73 1551.99i −0.725048 0.126837i
\(532\) 3310.80 + 5734.47i 0.269814 + 0.467332i
\(533\) 12844.9 10778.1i 1.04385 0.875897i
\(534\) −10119.2 + 14472.5i −0.820038 + 1.17282i
\(535\) 214.431 1216.10i 0.0173283 0.0982737i
\(536\) 12021.8 + 10087.5i 0.968775 + 0.812898i
\(537\) 13394.9 3598.84i 1.07641 0.289202i
\(538\) 6614.51 + 2407.48i 0.530059 + 0.192926i
\(539\) −4879.45 −0.389931
\(540\) −2519.72 + 29487.7i −0.200799 + 2.34990i
\(541\) 14198.0 1.12831 0.564157 0.825667i \(-0.309201\pi\)
0.564157 + 0.825667i \(0.309201\pi\)
\(542\) 38064.9 + 13854.5i 3.01666 + 1.09797i
\(543\) 6291.29 23542.9i 0.497210 1.86063i
\(544\) 15494.5 + 13001.5i 1.22118 + 1.02469i
\(545\) 2578.70 14624.5i 0.202678 1.14944i
\(546\) 15226.8 + 1321.82i 1.19349 + 0.103606i
\(547\) −1932.93 + 1621.92i −0.151090 + 0.126780i −0.715199 0.698921i \(-0.753664\pi\)
0.564109 + 0.825700i \(0.309220\pi\)
\(548\) 23453.3 + 40622.3i 1.82824 + 3.16660i
\(549\) 6633.69 + 7884.10i 0.515699 + 0.612905i
\(550\) 663.070 1148.47i 0.0514062 0.0890382i
\(551\) 1100.73 + 6242.53i 0.0851044 + 0.482651i
\(552\) −12918.2 + 9058.42i −0.996079 + 0.698464i
\(553\) −7730.66 + 2813.73i −0.594468 + 0.216369i
\(554\) −23105.0 + 8409.52i −1.77191 + 0.644921i
\(555\) −339.363 3849.03i −0.0259552 0.294382i
\(556\) −7081.36 40160.4i −0.540138 3.06327i
\(557\) 2857.54 4949.40i 0.217375 0.376504i −0.736630 0.676296i \(-0.763584\pi\)
0.954005 + 0.299792i \(0.0969173\pi\)
\(558\) −19483.3 + 11283.8i −1.47813 + 0.856057i
\(559\) −14800.6 25635.4i −1.11985 1.93964i
\(560\) 11095.7 9310.36i 0.837280 0.702562i
\(561\) 1770.66 + 3790.52i 0.133257 + 0.285269i
\(562\) 6233.49 35351.9i 0.467872 2.65343i
\(563\) 2884.11 + 2420.05i 0.215898 + 0.181160i 0.744322 0.667820i \(-0.232773\pi\)
−0.528424 + 0.848980i \(0.677217\pi\)
\(564\) −31587.0 31544.4i −2.35825 2.35507i
\(565\) −21972.6 7997.38i −1.63610 0.595491i
\(566\) −18812.1 −1.39705
\(567\) 4307.67 3634.42i 0.319057 0.269191i
\(568\) −51575.1 −3.80994
\(569\) −16673.4 6068.61i −1.22844 0.447116i −0.355378 0.934723i \(-0.615648\pi\)
−0.873064 + 0.487606i \(0.837870\pi\)
\(570\) 8737.18 + 8725.40i 0.642035 + 0.641170i
\(571\) 2080.29 + 1745.57i 0.152465 + 0.127933i 0.715829 0.698275i \(-0.246049\pi\)
−0.563364 + 0.826209i \(0.690493\pi\)
\(572\) 4311.62 24452.4i 0.315171 1.78743i
\(573\) 1641.38 + 3513.77i 0.119668 + 0.256177i
\(574\) −7326.79 + 6147.90i −0.532777 + 0.447053i
\(575\) 344.929 + 597.435i 0.0250166 + 0.0433300i
\(576\) −20288.6 11677.2i −1.46764 0.844704i
\(577\) −11533.7 + 19977.0i −0.832158 + 1.44134i 0.0641648 + 0.997939i \(0.479562\pi\)
−0.896323 + 0.443401i \(0.853772\pi\)
\(578\) −2510.55 14238.0i −0.180666 1.02461i
\(579\) −1082.70 12279.9i −0.0777123 0.881407i
\(580\) 29444.5 10716.9i 2.10796 0.767236i
\(581\) 7417.49 2699.75i 0.529655 0.192779i
\(582\) −7855.94 + 5508.69i −0.559518 + 0.392341i
\(583\) 131.420 + 745.320i 0.00933595 + 0.0529468i
\(584\) 11221.1 19435.6i 0.795091 1.37714i
\(585\) 20064.2 3565.78i 1.41804 0.252012i
\(586\) 11436.3 + 19808.3i 0.806196 + 1.39637i
\(587\) 1349.11 1132.04i 0.0948617 0.0795984i −0.594123 0.804374i \(-0.702501\pi\)
0.688985 + 0.724775i \(0.258057\pi\)
\(588\) 29426.5 + 2554.49i 2.06383 + 0.179159i
\(589\) −1166.33 + 6614.56i −0.0815919 + 0.462731i
\(590\) 14229.5 + 11940.0i 0.992917 + 0.833156i
\(591\) −286.584 + 1072.44i −0.0199467 + 0.0746434i
\(592\) 11850.6 + 4313.26i 0.822730 + 0.299449i
\(593\) 18645.1 1.29117 0.645583 0.763690i \(-0.276614\pi\)
0.645583 + 0.763690i \(0.276614\pi\)
\(594\) −7366.24 10474.9i −0.508822 0.723553i
\(595\) 3797.65 0.261661
\(596\) 6195.97 + 2255.15i 0.425834 + 0.154991i
\(597\) 4969.41 1335.14i 0.340677 0.0915305i
\(598\) 13838.5 + 11611.9i 0.946319 + 0.794056i
\(599\) −3807.30 + 21592.3i −0.259703 + 1.47285i 0.524002 + 0.851717i \(0.324438\pi\)
−0.783705 + 0.621133i \(0.786673\pi\)
\(600\) −2766.45 + 3956.57i −0.188233 + 0.269211i
\(601\) 1101.22 924.033i 0.0747416 0.0627156i −0.604651 0.796490i \(-0.706688\pi\)
0.679393 + 0.733775i \(0.262243\pi\)
\(602\) 8442.32 + 14622.5i 0.571567 + 0.989983i
\(603\) −2274.59 6223.25i −0.153613 0.420283i
\(604\) 3385.59 5864.02i 0.228076 0.395039i
\(605\) 1887.55 + 10704.8i 0.126843 + 0.719360i
\(606\) −3218.37 1498.11i −0.215738 0.100423i
\(607\) 6222.24 2264.71i 0.416067 0.151436i −0.125500 0.992094i \(-0.540053\pi\)
0.541567 + 0.840658i \(0.317831\pi\)
\(608\) −17355.3 + 6316.81i −1.15765 + 0.421350i
\(609\) −5409.85 2518.22i −0.359964 0.167559i
\(610\) −3690.14 20927.8i −0.244934 1.38909i
\(611\) −15369.3 + 26620.4i −1.01764 + 1.76260i
\(612\) −8693.92 23786.5i −0.574234 1.57110i
\(613\) 9789.40 + 16955.7i 0.645008 + 1.11719i 0.984300 + 0.176506i \(0.0564795\pi\)
−0.339291 + 0.940681i \(0.610187\pi\)
\(614\) −16143.8 + 13546.2i −1.06109 + 0.890360i
\(615\) −7307.50 + 10451.2i −0.479133 + 0.685257i
\(616\) −1479.06 + 8388.16i −0.0967419 + 0.548651i
\(617\) −20133.5 16894.0i −1.31369 1.10232i −0.987603 0.156975i \(-0.949826\pi\)
−0.326086 0.945340i \(-0.605730\pi\)
\(618\) −8001.39 + 2149.75i −0.520814 + 0.139928i
\(619\) 2516.77 + 916.028i 0.163421 + 0.0594802i 0.422435 0.906393i \(-0.361175\pi\)
−0.259014 + 0.965873i \(0.583398\pi\)
\(620\) 33201.6 2.15066
\(621\) 6634.97 594.017i 0.428747 0.0383850i
\(622\) 1450.82 0.0935249
\(623\) −4660.17 1696.16i −0.299688 0.109078i
\(624\) −17171.1 + 64256.6i −1.10159 + 4.12231i
\(625\) −10416.5 8740.49i −0.666657 0.559392i
\(626\) 4014.15 22765.4i 0.256290 1.45349i
\(627\) −3805.84 330.381i −0.242409 0.0210433i
\(628\) 55063.5 46203.7i 3.49884 2.93588i
\(629\) 1653.26 + 2863.52i 0.104801 + 0.181520i
\(630\) −11444.7 + 2033.94i −0.723760 + 0.128625i
\(631\) −12842.2 + 22243.3i −0.810206 + 1.40332i 0.102514 + 0.994732i \(0.467311\pi\)
−0.912720 + 0.408586i \(0.866022\pi\)
\(632\) −11816.5 67014.6i −0.743725 4.21788i
\(633\) 797.755 559.396i 0.0500915 0.0351248i
\(634\) 17436.8 6346.47i 1.09228 0.397556i
\(635\) 436.693 158.943i 0.0272908 0.00993303i
\(636\) −402.366 4563.60i −0.0250862 0.284526i
\(637\) −3531.78 20029.7i −0.219677 1.24585i
\(638\) −6779.08 + 11741.7i −0.420668 + 0.728619i
\(639\) 18872.9 + 10862.3i 1.16839 + 0.672469i
\(640\) 5944.44 + 10296.1i 0.367148 + 0.635919i
\(641\) −9033.33 + 7579.86i −0.556622 + 0.467062i −0.877176 0.480169i \(-0.840575\pi\)
0.320554 + 0.947230i \(0.396131\pi\)
\(642\) −1368.90 2930.46i −0.0841530 0.180149i
\(643\) −192.033 + 1089.07i −0.0117776 + 0.0667943i −0.990130 0.140151i \(-0.955241\pi\)
0.978352 + 0.206945i \(0.0663523\pi\)
\(644\) −5643.88 4735.78i −0.345342 0.289776i
\(645\) 15929.7 + 15908.2i 0.972449 + 0.971138i
\(646\) −9929.25 3613.95i −0.604739 0.220107i
\(647\) −26901.6 −1.63464 −0.817318 0.576187i \(-0.804540\pi\)
−0.817318 + 0.576187i \(0.804540\pi\)
\(648\) 23418.3 + 40310.1i 1.41969 + 2.44372i
\(649\) −5746.78 −0.347582
\(650\) 5194.31 + 1890.57i 0.313442 + 0.114084i
\(651\) −4473.95 4467.92i −0.269352 0.268989i
\(652\) −50625.6 42479.9i −3.04087 2.55160i
\(653\) 3265.90 18521.9i 0.195719 1.10998i −0.715672 0.698437i \(-0.753879\pi\)
0.911391 0.411542i \(-0.135010\pi\)
\(654\) −16462.1 35241.1i −0.984282 2.10709i
\(655\) −9809.64 + 8231.27i −0.585182 + 0.491026i
\(656\) −20810.8 36045.3i −1.23860 2.14532i
\(657\) −8199.50 + 4748.75i −0.486900 + 0.281988i
\(658\) 8766.72 15184.4i 0.519396 0.899620i
\(659\) 5061.07 + 28702.7i 0.299167 + 1.69666i 0.649764 + 0.760136i \(0.274868\pi\)
−0.350597 + 0.936526i \(0.614021\pi\)
\(660\) 1658.53 + 18810.9i 0.0978152 + 1.10941i
\(661\) 7174.42 2611.28i 0.422167 0.153656i −0.122196 0.992506i \(-0.538994\pi\)
0.544363 + 0.838850i \(0.316771\pi\)
\(662\) 9147.19 3329.30i 0.537033 0.195464i
\(663\) −14278.1 + 10012.0i −0.836374 + 0.586477i
\(664\) 11337.8 + 64299.9i 0.662639 + 3.75801i
\(665\) −1733.83 + 3003.08i −0.101105 + 0.175119i
\(666\) −6515.94 7744.15i −0.379111 0.450570i
\(667\) −3526.48 6108.04i −0.204716 0.354579i
\(668\) 23565.8 19774.1i 1.36495 1.14533i
\(669\) 29496.5 + 2560.56i 1.70463 + 0.147977i
\(670\) −2373.00 + 13458.0i −0.136832 + 0.776010i
\(671\) 5036.33 + 4225.99i 0.289755 + 0.243133i
\(672\) 4488.61 16797.0i 0.257666 0.964225i
\(673\) 3739.18 + 1360.95i 0.214167 + 0.0779506i 0.446876 0.894596i \(-0.352537\pi\)
−0.232708 + 0.972547i \(0.574759\pi\)
\(674\) 40367.3 2.30696
\(675\) 1845.63 865.181i 0.105242 0.0493346i
\(676\) 59401.7 3.37971
\(677\) 21293.0 + 7750.03i 1.20880 + 0.439967i 0.866287 0.499546i \(-0.166500\pi\)
0.342513 + 0.939513i \(0.388722\pi\)
\(678\) −59148.1 + 15891.5i −3.35040 + 0.900159i
\(679\) −2064.13 1732.01i −0.116663 0.0978915i
\(680\) −5454.72 + 30935.3i −0.307616 + 1.74458i
\(681\) 635.460 908.835i 0.0357575 0.0511404i
\(682\) −11005.1 + 9234.40i −0.617900 + 0.518480i
\(683\) −17182.9 29761.6i −0.962643 1.66735i −0.715819 0.698286i \(-0.753947\pi\)
−0.246823 0.969060i \(-0.579387\pi\)
\(684\) 22778.9 + 3984.86i 1.27335 + 0.222756i
\(685\) −12282.2 + 21273.5i −0.685081 + 1.18659i
\(686\) 4454.23 + 25261.2i 0.247906 + 1.40594i
\(687\) −1176.33 547.564i −0.0653270 0.0304088i
\(688\) −69045.6 + 25130.5i −3.82607 + 1.39258i
\(689\) −2964.35 + 1078.93i −0.163908 + 0.0596577i
\(690\) −12455.7 5797.95i −0.687217 0.319890i
\(691\) 4226.20 + 23968.0i 0.232666 + 1.31952i 0.847473 + 0.530838i \(0.178123\pi\)
−0.614807 + 0.788677i \(0.710766\pi\)
\(692\) −25649.0 + 44425.4i −1.40900 + 2.44046i
\(693\) 2307.88 2757.97i 0.126507 0.151178i
\(694\) −5585.33 9674.08i −0.305499 0.529140i
\(695\) 16359.7 13727.4i 0.892888 0.749222i
\(696\) 28283.5 40451.1i 1.54035 2.20301i
\(697\) 1894.98 10747.0i 0.102980 0.584031i
\(698\) 41988.9 + 35232.9i 2.27694 + 1.91058i
\(699\) −10069.0 + 2705.26i −0.544842 + 0.146384i
\(700\) −2118.44 771.050i −0.114385 0.0416328i
\(701\) −11818.5 −0.636775 −0.318388 0.947961i \(-0.603141\pi\)
−0.318388 + 0.947961i \(0.603141\pi\)
\(702\) 37666.8 37819.5i 2.02513 2.03334i
\(703\) −3019.20 −0.161979
\(704\) −14035.9 5108.66i −0.751418 0.273494i
\(705\) 6035.39 22585.3i 0.322420 1.20654i
\(706\) 26315.1 + 22081.0i 1.40280 + 1.17709i
\(707\) 173.116 981.789i 0.00920890 0.0522263i
\(708\) 34657.1 + 3008.55i 1.83968 + 0.159701i
\(709\) −4683.60 + 3930.01i −0.248091 + 0.208173i −0.758350 0.651848i \(-0.773994\pi\)
0.510259 + 0.860021i \(0.329550\pi\)
\(710\) −22455.5 38894.1i −1.18696 2.05587i
\(711\) −9790.07 + 27011.3i −0.516394 + 1.42476i
\(712\) 20510.4 35525.0i 1.07958 1.86988i
\(713\) −1297.72 7359.75i −0.0681628 0.386571i
\(714\) 8144.30 5710.89i 0.426881 0.299335i
\(715\) 12218.9 4447.30i 0.639104 0.232615i
\(716\) −50341.8 + 18322.9i −2.62760 + 0.956368i
\(717\) −253.597 2876.28i −0.0132088 0.149814i
\(718\) −5680.62 32216.4i −0.295263 1.67452i
\(719\) 981.181 1699.45i 0.0508927 0.0881488i −0.839457 0.543426i \(-0.817127\pi\)
0.890350 + 0.455278i \(0.150460\pi\)
\(720\) −68.2453 50584.3i −0.00353244 2.61828i
\(721\) −1163.36 2014.99i −0.0600911 0.104081i
\(722\) −20446.9 + 17157.0i −1.05395 + 0.884372i
\(723\) −3701.94 7924.87i −0.190424 0.407647i
\(724\) −16344.7 + 92695.4i −0.839014 + 4.75828i
\(725\) −1653.22 1387.22i −0.0846885 0.0710621i
\(726\) 20145.8 + 20118.7i 1.02987 + 1.02848i
\(727\) −13937.2 5072.74i −0.711009 0.258786i −0.0389053 0.999243i \(-0.512387\pi\)
−0.672104 + 0.740457i \(0.734609\pi\)
\(728\) −35503.2 −1.80747
\(729\) −79.6652 19682.8i −0.00404741 0.999992i
\(730\) 19542.4 0.990819
\(731\) −18103.1 6588.97i −0.915959 0.333382i
\(732\) −28160.2 28122.3i −1.42190 1.41999i
\(733\) 4524.21 + 3796.27i 0.227975 + 0.191294i 0.749619 0.661869i \(-0.230237\pi\)
−0.521644 + 0.853163i \(0.674681\pi\)
\(734\) −2360.35 + 13386.2i −0.118695 + 0.673153i
\(735\) 6546.65 + 14014.6i 0.328540 + 0.703317i
\(736\) 15742.1 13209.2i 0.788398 0.661544i
\(737\) −2113.91 3661.39i −0.105654 0.182997i
\(738\) 45.0644 + 33402.3i 0.00224776 + 1.66606i
\(739\) 8336.35 14439.0i 0.414963 0.718737i −0.580462 0.814288i \(-0.697128\pi\)
0.995425 + 0.0955508i \(0.0304612\pi\)
\(740\) 2591.62 + 14697.8i 0.128743 + 0.730138i
\(741\) −1398.51 15861.8i −0.0693326 0.786365i
\(742\) 1690.88 615.429i 0.0836578 0.0304489i
\(743\) 28551.4 10391.9i 1.40976 0.513110i 0.478699 0.877979i \(-0.341108\pi\)
0.931059 + 0.364869i \(0.118886\pi\)
\(744\) 42821.3 30026.9i 2.11009 1.47962i
\(745\) 599.609 + 3400.55i 0.0294872 + 0.167230i
\(746\) 22377.2 38758.5i 1.09824 1.90221i
\(747\) 9393.48 25917.1i 0.460093 1.26942i
\(748\) −8079.75 13994.5i −0.394953 0.684079i
\(749\) 695.814 583.857i 0.0339446 0.0284829i
\(750\) −40221.9 3491.62i −1.95826 0.169995i
\(751\) 4130.46 23425.0i 0.200696 1.13820i −0.703375 0.710819i \(-0.748324\pi\)
0.904071 0.427383i \(-0.140564\pi\)
\(752\) 58449.3 + 49044.8i 2.83435 + 2.37830i
\(753\) −6098.66 + 22822.1i −0.295150 + 1.10449i
\(754\) −53105.4 19328.8i −2.56497 0.933572i
\(755\) 3546.00 0.170930
\(756\) −15362.0 + 15424.3i −0.739034 + 0.742032i
\(757\) 14027.2 0.673482 0.336741 0.941597i \(-0.390675\pi\)
0.336741 + 0.941597i \(0.390675\pi\)
\(758\) −27063.0 9850.13i −1.29680 0.471996i
\(759\) 4104.95 1102.89i 0.196311 0.0527434i
\(760\) −21972.4 18437.0i −1.04871 0.879976i
\(761\) −258.313 + 1464.97i −0.0123047 + 0.0697832i