Properties

Label 27.4.e.a.7.1
Level 27
Weight 4
Character 27.7
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 7.1
Character \(\chi\) = 27.7
Dual form 27.4.e.a.4.1

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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 −0.999960 0.00897504i \(-0.997143\pi\)
−0.760245 + 0.649637i \(0.774921\pi\)
\(3\) −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 −0.950856 0.309635i \(-0.899793\pi\)
0.787611 0.616173i \(-0.211318\pi\)
\(6\) 11.6515 24.9427i 0.792781 1.69713i
\(7\) −5.92244 4.96952i −0.319782 0.268329i 0.468739 0.883337i \(-0.344708\pi\)
−0.788521 + 0.615008i \(0.789153\pi\)
\(8\) −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 −0.915963 0.401262i \(-0.868572\pi\)
0.997964 0.0637848i \(-0.0203171\pi\)
\(12\) −9.15933 + 103.884i −0.220339 + 2.49907i
\(13\) −67.4795 24.5605i −1.43965 0.523990i −0.499970 0.866043i \(-0.666656\pi\)
−0.939681 + 0.342053i \(0.888878\pi\)
\(14\) 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 0.649792 0.760112i \(-0.274856\pi\)
−0.983172 + 0.182680i \(0.941523\pi\)
\(18\) 48.7444 + 134.488i 0.638287 + 1.76107i
\(19\) −21.3371 + 36.9569i −0.257635 + 0.446237i −0.965608 0.260003i \(-0.916276\pi\)
0.707973 + 0.706239i \(0.249610\pi\)
\(20\) −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 −0.462846 0.886439i \(-0.653172\pi\)
0.792599 + 0.609743i \(0.208727\pi\)
\(24\) −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 −0.747760 0.663969i \(-0.768870\pi\)
−0.146026 + 0.989281i \(0.546648\pi\)
\(30\) −279.443 75.0787i −1.70064 0.456914i
\(31\) −120.570 + 101.170i −0.698548 + 0.586151i −0.921360 0.388710i \(-0.872921\pi\)
0.222812 + 0.974861i \(0.428476\pi\)
\(32\) 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 0.933850 0.357664i \(-0.116427\pi\)
−0.776671 + 0.629906i \(0.783093\pi\)
\(38\) 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 −0.111561 0.993758i \(-0.535585\pi\)
−0.724235 + 0.689553i \(0.757807\pi\)
\(42\) −192.958 + 89.8195i −0.708907 + 0.329987i
\(43\) 71.5802 405.951i 0.253858 1.43970i −0.545131 0.838351i \(-0.683520\pi\)
0.798988 0.601347i \(-0.205369\pi\)
\(44\) −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 0.989332 0.145676i \(-0.0465356\pi\)
0.0283334 + 0.999599i \(0.490980\pi\)
\(48\) 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 −0.979596 0.200978i \(-0.935588\pi\)
0.851781 0.523899i \(-0.175523\pi\)
\(60\) 1092.01 94.7962i 2.34963 0.203969i
\(61\) 292.335 + 245.298i 0.613601 + 0.514872i 0.895785 0.444488i \(-0.146614\pi\)
−0.282184 + 0.959360i \(0.591059\pi\)
\(62\) 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 0.123105 0.992394i \(-0.460715\pi\)
−0.543595 + 0.839348i \(0.682937\pi\)
\(68\) −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 0.976747 + 0.214394i \(0.0687778\pi\)
−0.302703 + 0.953085i \(0.597889\pi\)
\(72\) 1494.14 + 865.329i 2.44563 + 1.41639i
\(73\) 175.470 303.922i 0.281331 0.487280i −0.690382 0.723445i \(-0.742557\pi\)
0.971713 + 0.236166i \(0.0758908\pi\)
\(74\) −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 0.488838 0.872374i \(-0.337421\pi\)
0.935223 + 0.354058i \(0.115199\pi\)
\(80\) −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 −0.886712 0.462321i \(-0.847017\pi\)
−0.382087 + 0.924126i \(0.624794\pi\)
\(84\) 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 −0.609355 0.792897i \(-0.708572\pi\)
0.991347 + 0.131268i \(0.0419049\pi\)
\(90\) 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 −0.936610 0.350373i \(-0.886055\pi\)
0.999960 0.00890345i \(-0.00283410\pi\)
\(98\) 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 0.592831 0.805327i \(-0.298010\pi\)
−0.690148 + 0.723668i \(0.742455\pi\)
\(102\) −1281.79 + 111.271i −1.24428 + 0.108014i
\(103\) −52.2596 296.379i −0.0499932 0.283525i 0.949554 0.313602i \(-0.101536\pi\)
−0.999548 + 0.0300770i \(0.990425\pi\)
\(104\) 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 −0.532524 0.846415i \(-0.678756\pi\)
0.210918 0.977504i \(-0.432355\pi\)
\(114\) 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 −0.873645 0.486563i \(-0.838250\pi\)
0.858199 + 0.513317i \(0.171584\pi\)
\(128\) 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 −0.276105 0.961127i \(-0.589044\pi\)
0.898580 + 0.438809i \(0.144599\pi\)
\(132\) 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 0.450579 0.892737i \(-0.351218\pi\)
0.919004 + 0.394249i \(0.128995\pi\)
\(138\) −337.468 1262.85i −0.208168 0.778995i
\(139\) −1556.50 + 1306.06i −0.949791 + 0.796969i −0.979262 0.202597i \(-0.935062\pi\)
0.0294717 + 0.999566i \(0.490618\pi\)
\(140\) 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 0.425492 0.904962i \(-0.360101\pi\)
−0.255753 + 0.966742i \(0.582323\pi\)
\(150\) 35.1293 398.434i 0.0191219 0.216880i
\(151\) −58.5847 + 332.251i −0.0315732 + 0.179061i −0.996516 0.0833988i \(-0.973422\pi\)
0.964943 + 0.262459i \(0.0845336\pi\)
\(152\) −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 0.565751 + 0.824576i \(0.308586\pi\)
−0.249611 + 0.968346i \(0.580303\pi\)
\(158\) −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 0.982285 + 0.187393i \(0.0600039\pi\)
−0.858954 + 0.512053i \(0.828885\pi\)
\(168\) −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 −0.717292 0.696773i \(-0.754619\pi\)
0.912344 0.409424i \(-0.134270\pi\)
\(174\) −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 −0.997721 0.0674712i \(-0.978507\pi\)
0.440429 0.897788i \(-0.354826\pi\)
\(180\) −3666.93 + 4358.13i −1.51843 + 1.80464i
\(181\) 2344.91 4061.51i 0.962961 1.66790i 0.247964 0.968769i \(-0.420238\pi\)
0.714997 0.699128i \(-0.246428\pi\)
\(182\) −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 −0.471434 0.881901i \(-0.656263\pi\)
0.205736 + 0.978608i \(0.434041\pi\)
\(192\) 4350.79 + 1168.94i 1.63537 + 0.439379i
\(193\) 1817.39 1524.97i 0.677816 0.568755i −0.237551 0.971375i \(-0.576345\pi\)
0.915367 + 0.402620i \(0.131900\pi\)
\(194\) 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 −0.884695 0.466171i \(-0.845633\pi\)
0.846063 + 0.533082i \(0.178966\pi\)
\(198\) 2427.58 424.673i 0.871318 0.152425i
\(199\) −495.139 857.607i −0.176379 0.305498i 0.764258 0.644910i \(-0.223105\pi\)
−0.940638 + 0.339412i \(0.889772\pi\)
\(200\) −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 0.979035 0.203692i \(-0.0652941\pi\)
−0.989659 + 0.143442i \(0.954183\pi\)
\(212\) 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 −0.988182 0.153286i \(-0.951015\pi\)
−0.322553 0.946551i \(-0.604541\pi\)
\(224\) 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 −0.978910 0.204290i \(-0.934511\pi\)
0.989746 + 0.142837i \(0.0456224\pi\)
\(228\) −3643.82 2555.09i −1.05841 0.742171i
\(229\) 234.649 + 85.4054i 0.0677121 + 0.0246452i 0.375654 0.926760i \(-0.377418\pi\)
−0.307942 + 0.951405i \(0.599640\pi\)
\(230\) 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 0.971897 0.235405i \(-0.0756417\pi\)
−0.689815 + 0.723985i \(0.742308\pi\)
\(234\) 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 −0.583363 0.812212i \(-0.698264\pi\)
0.698572 + 0.715540i \(0.253819\pi\)
\(240\) 6888.29 6879.01i 1.85266 1.85016i
\(241\) 1581.82 575.735i 0.422797 0.153885i −0.121855 0.992548i \(-0.538884\pi\)
0.544651 + 0.838663i \(0.316662\pi\)
\(242\) −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 0.424775 + 0.905299i \(0.360353\pi\)
−0.996399 + 0.0847837i \(0.972980\pi\)
\(252\) −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 0.374744 0.927128i \(-0.377730\pi\)
−0.308876 + 0.951102i \(0.599953\pi\)
\(258\) −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 0.994737 + 0.102464i \(0.0326726\pi\)
0.273642 + 0.961832i \(0.411772\pi\)
\(264\) −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 0.941000 0.338407i \(-0.109888\pi\)
−0.169863 + 0.985468i \(0.554333\pi\)
\(278\) 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 −0.559360 0.828925i \(-0.688953\pi\)
0.809136 0.587622i \(-0.199936\pi\)
\(282\) 10683.5 4973.04i 2.25601 1.05014i
\(283\) 3336.58 + 1214.42i 0.700844 + 0.255087i 0.667771 0.744366i \(-0.267248\pi\)
0.0330731 + 0.999453i \(0.489471\pi\)
\(284\) 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 −0.909906 0.414814i \(-0.863847\pi\)
0.250509 + 0.968114i \(0.419402\pi\)
\(294\) −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 0.989524 0.144369i \(-0.0461151\pi\)
−0.619789 + 0.784769i \(0.712782\pi\)
\(308\) −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 0.318455 0.947938i \(-0.396836\pi\)
−0.365372 + 0.930861i \(0.619058\pi\)
\(312\) −2095.72 + 23769.6i −0.380279 + 4.31310i
\(313\) 757.654 4296.87i 0.136822 0.775954i −0.836752 0.547581i \(-0.815549\pi\)
0.973574 0.228372i \(-0.0733403\pi\)
\(314\) −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 0.373385 0.927677i \(-0.378197\pi\)
−0.848745 + 0.528802i \(0.822642\pi\)
\(318\) 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 0.518406 0.855135i \(-0.326526\pi\)
−0.752123 + 0.659022i \(0.770970\pi\)
\(332\) −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 −0.309172 0.951006i \(-0.600052\pi\)
−0.848134 + 0.529781i \(0.822274\pi\)
\(338\) −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 −0.509246 0.860621i \(-0.670075\pi\)
0.759117 + 0.650954i \(0.225631\pi\)
\(348\) −3999.25 14965.8i −0.616040 2.30531i
\(349\) −9721.75 + 3538.43i −1.49110 + 0.542716i −0.953739 0.300637i \(-0.902801\pi\)
−0.537360 + 0.843353i \(0.680578\pi\)
\(350\) 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 −0.757703 0.652600i \(-0.773678\pi\)
−0.160951 + 0.986962i \(0.551456\pi\)
\(354\) −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 −0.544752 0.838597i \(-0.683376\pi\)
0.998622 + 0.0524709i \(0.0167097\pi\)
\(360\) 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 0.936594 + 0.350416i \(0.113960\pi\)
−0.999960 + 0.00894945i \(0.997151\pi\)
\(368\) −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 −0.899596 0.436722i \(-0.856139\pi\)
0.695976 0.718065i \(-0.254972\pi\)
\(374\) 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 0.992019 + 0.126088i \(0.0402421\pi\)
−0.889069 + 0.457774i \(0.848647\pi\)
\(384\) −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 −0.693629 0.720332i \(-0.743989\pi\)
0.898167 0.439655i \(-0.144899\pi\)
\(390\) 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 −0.948140 0.317853i \(-0.897038\pi\)
0.749339 + 0.662187i \(0.230372\pi\)
\(398\) 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 −0.849606 0.527417i \(-0.823160\pi\)
0.371872 + 0.928284i \(0.378716\pi\)
\(402\) −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 −0.999327 0.0366758i \(-0.988323\pi\)
−0.137413 + 0.990514i \(0.543879\pi\)
\(410\) −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 0.0760294 0.997106i \(-0.475776\pi\)
−0.582685 + 0.812698i \(0.697998\pi\)
\(420\) −6938.45 4865.34i −0.806100 0.565248i
\(421\) 640.488 3632.39i 0.0741460 0.420503i −0.925029 0.379896i \(-0.875960\pi\)
0.999175 0.0406068i \(-0.0129291\pi\)
\(422\) 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 0.293585 0.955933i \(-0.405152\pi\)
−0.890430 + 0.455121i \(0.849596\pi\)
\(440\) 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 0.847156 + 0.531345i \(0.178313\pi\)
−0.977797 + 0.209556i \(0.932798\pi\)
\(444\) −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 0.766420 + 0.642340i \(0.222036\pi\)
0.173073 + 0.984909i \(0.444630\pi\)
\(450\) 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 0.274754 0.961515i \(-0.411404\pi\)
0.828523 + 0.559955i \(0.189182\pi\)
\(458\) −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 −0.501407 0.865211i \(-0.667184\pi\)
0.172047 + 0.985089i \(0.444962\pi\)
\(462\) 946.644 + 3542.48i 0.0953287 + 0.356734i
\(463\) 1341.68 1125.80i 0.134672 0.113003i −0.572963 0.819581i \(-0.694206\pi\)
0.707636 + 0.706578i \(0.249762\pi\)
\(464\) 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 −0.766603 0.642121i \(-0.778055\pi\)
0.939395 + 0.342837i \(0.111388\pi\)
\(468\) 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 0.621708 0.783249i \(-0.286439\pi\)
−0.663391 + 0.748273i \(0.730883\pi\)
\(480\) −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 −0.936871 0.349675i \(-0.886292\pi\)
0.760775 0.649016i \(-0.224819\pi\)
\(492\) 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 0.918755 0.394828i \(-0.129196\pi\)
0.450017 + 0.893020i \(0.351418\pi\)
\(500\) −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 0.959093 0.283091i \(-0.0913597\pi\)
−0.724710 + 0.689054i \(0.758026\pi\)
\(504\) −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 −0.658374 0.752691i \(-0.728755\pi\)
0.626931 + 0.779075i \(0.284311\pi\)
\(510\) 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 −0.721464 0.692452i \(-0.756530\pi\)
0.960413 + 0.278580i \(0.0898637\pi\)
\(522\) −13636.4 16295.8i −1.14339 1.36637i
\(523\) 296.307 + 513.218i 0.0247736 + 0.0429091i 0.878146 0.478392i \(-0.158780\pi\)
−0.853373 + 0.521301i \(0.825447\pi\)
\(524\) 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 0.564109 0.825700i \(-0.309220\pi\)
−0.715199 + 0.698921i \(0.753664\pi\)
\(548\) 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 0.954005 0.299792i \(-0.0969173\pi\)
−0.736630 + 0.676296i \(0.763584\pi\)
\(558\) −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 −0.528424 0.848980i \(-0.677217\pi\)
0.744322 + 0.667820i \(0.232773\pi\)
\(564\) −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 −0.873064 0.487606i \(-0.837870\pi\)
−0.355378 + 0.934723i \(0.615648\pi\)
\(570\) 8737.18 8725.40i 0.642035 0.641170i
\(571\) 2080.29 1745.57i 0.152465 0.127933i −0.563364 0.826209i \(-0.690493\pi\)
0.715829 + 0.698275i \(0.246049\pi\)
\(572\) 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 −0.896323 0.443401i \(-0.853772\pi\)
0.0641648 0.997939i \(-0.479562\pi\)
\(578\) −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 0.688985 0.724775i \(-0.258057\pi\)
−0.594123 + 0.804374i \(0.702501\pi\)
\(588\) 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 −0.783705 0.621133i \(-0.786673\pi\)
0.524002 0.851717i \(-0.324438\pi\)
\(600\) −2766.45 3956.57i −0.188233 0.269211i
\(601\) 1101.22 + 924.033i 0.0747416 + 0.0627156i 0.679393 0.733775i \(-0.262243\pi\)
−0.604651 + 0.796490i \(0.706688\pi\)
\(602\) 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 0.541567 0.840658i \(-0.317831\pi\)
−0.125500 + 0.992094i \(0.540053\pi\)
\(608\) −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 −0.339291 0.940681i \(-0.610187\pi\)
0.984300 0.176506i \(-0.0564795\pi\)
\(614\) −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 −0.326086 + 0.945340i \(0.605730\pi\)
−0.987603 + 0.156975i \(0.949826\pi\)
\(618\) −8001.39 2149.75i −0.520814 0.139928i
\(619\) 2516.77 916.028i 0.163421 0.0594802i −0.259014 0.965873i \(-0.583398\pi\)
0.422435 + 0.906393i \(0.361175\pi\)
\(620\) 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 −0.912720 0.408586i \(-0.866022\pi\)
0.102514 0.994732i \(-0.467311\pi\)
\(632\) −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 0.320554 0.947230i \(-0.396131\pi\)
−0.877176 + 0.480169i \(0.840575\pi\)
\(642\) −1368.90 + 2930.46i −0.0841530 + 0.180149i
\(643\) −192.033 1089.07i −0.0117776 0.0667943i 0.978352 0.206945i \(-0.0663523\pi\)
−0.990130 + 0.140151i \(0.955241\pi\)
\(644\) −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 0.911391 + 0.411542i \(0.135010\pi\)
−0.715672 + 0.698437i \(0.753879\pi\)
\(654\) −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 −0.350597 0.936526i \(-0.614021\pi\)
0.649764 0.760136i \(-0.274868\pi\)
\(660\) 1658.53 18810.9i 0.0978152 1.10941i
\(661\) 7174.42 + 2611.28i 0.422167 + 0.153656i 0.544363 0.838850i \(-0.316771\pi\)
−0.122196 + 0.992506i \(0.538994\pi\)
\(662\) 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 −0.232708 0.972547i \(-0.574759\pi\)
0.446876 + 0.894596i \(0.352537\pi\)
\(674\) 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 0.342513 0.939513i \(-0.388722\pi\)
0.866287 + 0.499546i \(0.166500\pi\)
\(678\) −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 −0.246823 + 0.969060i \(0.579387\pi\)
−0.715819 + 0.698286i \(0.753947\pi\)
\(684\) 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 −0.614807 0.788677i \(-0.710766\pi\)
0.847473 0.530838i \(-0.178123\pi\)
\(692\) −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 0.510259 0.860021i \(-0.329550\pi\)
−0.758350 + 0.651848i \(0.773994\pi\)
\(710\) −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 0.890350 0.455278i \(-0.150460\pi\)
−0.839457 + 0.543426i \(0.817127\pi\)
\(720\) −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 −0.672104 0.740457i \(-0.734609\pi\)
−0.0389053 + 0.999243i \(0.512387\pi\)
\(728\) −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 −0.521644 0.853163i \(-0.674681\pi\)
0.749619 + 0.661869i \(0.230237\pi\)
\(734\) −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 0.995425 0.0955508i \(-0.0304612\pi\)
−0.580462 + 0.814288i \(0.697128\pi\)
\(740\) 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 0.931059 0.364869i \(-0.118886\pi\)
0.478699 + 0.877979i \(0.341108\pi\)
\(744\) 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 0.904071 + 0.427383i \(0.140564\pi\)
−0.703375 + 0.710819i \(0.748324\pi\)
\(752\) 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 0.06978