Properties

Label 20.4.e.b.3.3
Level 20
Weight 4
Character 20.3
Analytic conductor 1.180
Analytic rank 0
Dimension 12
CM No
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 20 = 2^{2} \cdot 5 \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 20.e (of order \(4\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(1.18003820011\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{9}]\)
Coefficient ring index: \( 2^{14} \)
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 3.3
Root \(-1.76129 + 0.947553i\)
Character \(\chi\) = 20.3
Dual form 20.4.e.b.7.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.813737 - 2.70884i) q^{2} +(2.61822 - 2.61822i) q^{3} +(-6.67566 + 4.40857i) q^{4} +(-0.435501 - 11.1719i) q^{5} +(-9.22289 - 4.96181i) q^{6} +(17.7783 + 17.7783i) q^{7} +(17.3744 + 14.4959i) q^{8} +13.2899i q^{9} +O(q^{10})\) \(q+(-0.813737 - 2.70884i) q^{2} +(2.61822 - 2.61822i) q^{3} +(-6.67566 + 4.40857i) q^{4} +(-0.435501 - 11.1719i) q^{5} +(-9.22289 - 4.96181i) q^{6} +(17.7783 + 17.7783i) q^{7} +(17.3744 + 14.4959i) q^{8} +13.2899i q^{9} +(-29.9084 + 10.2707i) q^{10} -7.37590i q^{11} +(-5.93575 + 29.0210i) q^{12} +(-2.68249 - 2.68249i) q^{13} +(33.6917 - 62.6254i) q^{14} +(-30.3906 - 28.1101i) q^{15} +(25.1290 - 58.8603i) q^{16} +(-20.2367 + 20.2367i) q^{17} +(36.0001 - 10.8144i) q^{18} -135.808 q^{19} +(52.1592 + 72.6596i) q^{20} +93.0948 q^{21} +(-19.9802 + 6.00204i) q^{22} +(71.0426 - 71.0426i) q^{23} +(83.4434 - 7.53642i) q^{24} +(-124.621 + 9.73070i) q^{25} +(-5.08361 + 9.44930i) q^{26} +(105.488 + 105.488i) q^{27} +(-197.059 - 40.3050i) q^{28} +34.2890i q^{29} +(-51.4160 + 105.198i) q^{30} +187.974i q^{31} +(-179.892 - 20.1737i) q^{32} +(-19.3117 - 19.3117i) q^{33} +(71.2855 + 38.3507i) q^{34} +(190.874 - 206.359i) q^{35} +(-58.5893 - 88.7186i) q^{36} +(250.679 - 250.679i) q^{37} +(110.512 + 367.882i) q^{38} -14.0467 q^{39} +(154.380 - 200.417i) q^{40} -211.105 q^{41} +(-75.7547 - 252.179i) q^{42} +(-46.7326 + 46.7326i) q^{43} +(32.5172 + 49.2390i) q^{44} +(148.472 - 5.78774i) q^{45} +(-250.253 - 134.633i) q^{46} +(-189.707 - 189.707i) q^{47} +(-88.3159 - 219.902i) q^{48} +289.134i q^{49} +(127.767 + 329.660i) q^{50} +105.968i q^{51} +(29.7334 + 6.08147i) q^{52} +(-74.5742 - 74.5742i) q^{53} +(199.910 - 371.589i) q^{54} +(-82.4025 + 3.21221i) q^{55} +(51.1739 + 566.598i) q^{56} +(-355.575 + 355.575i) q^{57} +(92.8835 - 27.9022i) q^{58} -101.072 q^{59} +(326.803 + 53.6747i) q^{60} +232.112 q^{61} +(509.191 - 152.961i) q^{62} +(-236.271 + 236.271i) q^{63} +(91.7370 + 503.715i) q^{64} +(-28.8002 + 31.1367i) q^{65} +(-36.5978 + 68.0271i) q^{66} +(34.7419 + 34.7419i) q^{67} +(45.8785 - 224.309i) q^{68} -372.010i q^{69} +(-714.314 - 349.126i) q^{70} -614.600i q^{71} +(-192.649 + 230.903i) q^{72} +(-37.4378 - 37.4378i) q^{73} +(-883.036 - 475.063i) q^{74} +(-300.807 + 351.761i) q^{75} +(906.607 - 598.718i) q^{76} +(131.131 - 131.131i) q^{77} +(11.4303 + 38.0504i) q^{78} +1002.91 q^{79} +(-668.522 - 255.104i) q^{80} +193.554 q^{81} +(171.784 + 571.850i) q^{82} +(423.190 - 423.190i) q^{83} +(-621.470 + 410.415i) q^{84} +(234.895 + 217.269i) q^{85} +(164.619 + 88.5632i) q^{86} +(89.7761 + 89.7761i) q^{87} +(106.920 - 128.152i) q^{88} -1049.38i q^{89} +(-136.495 - 397.478i) q^{90} -95.3802i q^{91} +(-161.060 + 787.453i) q^{92} +(492.156 + 492.156i) q^{93} +(-359.514 + 668.257i) q^{94} +(59.1444 + 1517.22i) q^{95} +(-523.815 + 418.177i) q^{96} +(-536.526 + 536.526i) q^{97} +(783.218 - 235.279i) q^{98} +98.0246 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 6q^{2} + 8q^{6} - 12q^{8} + O(q^{10}) \) \( 12q - 6q^{2} + 8q^{6} - 12q^{8} - 110q^{10} - 80q^{12} + 116q^{13} + 312q^{16} - 332q^{17} + 198q^{18} + 140q^{20} - 144q^{21} + 360q^{22} + 340q^{25} - 164q^{26} - 880q^{28} - 1240q^{30} - 376q^{32} + 80q^{33} + 460q^{36} + 508q^{37} + 1600q^{38} + 1420q^{40} - 656q^{41} + 1160q^{42} + 1180q^{45} - 1432q^{46} - 2720q^{48} - 1570q^{50} - 932q^{52} - 644q^{53} + 2048q^{56} - 960q^{57} + 1576q^{58} + 3280q^{60} - 896q^{61} + 2440q^{62} - 2740q^{65} - 1680q^{66} - 844q^{68} - 3040q^{70} - 3036q^{72} + 1436q^{73} + 800q^{76} + 3120q^{77} + 3720q^{78} + 1840q^{80} + 5988q^{81} - 1352q^{82} + 500q^{85} - 2552q^{86} - 2400q^{88} - 750q^{90} - 1840q^{92} - 3280q^{93} + 1088q^{96} - 4772q^{97} + 1698q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(17\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.813737 2.70884i −0.287699 0.957721i
\(3\) 2.61822 2.61822i 0.503877 0.503877i −0.408764 0.912640i \(-0.634040\pi\)
0.912640 + 0.408764i \(0.134040\pi\)
\(4\) −6.67566 + 4.40857i −0.834458 + 0.551071i
\(5\) −0.435501 11.1719i −0.0389524 0.999241i
\(6\) −9.22289 4.96181i −0.627538 0.337608i
\(7\) 17.7783 + 17.7783i 0.959936 + 0.959936i 0.999228 0.0392914i \(-0.0125101\pi\)
−0.0392914 + 0.999228i \(0.512510\pi\)
\(8\) 17.3744 + 14.4959i 0.767846 + 0.640635i
\(9\) 13.2899i 0.492217i
\(10\) −29.9084 + 10.2707i −0.945787 + 0.324787i
\(11\) 7.37590i 0.202174i −0.994878 0.101087i \(-0.967768\pi\)
0.994878 0.101087i \(-0.0322321\pi\)
\(12\) −5.93575 + 29.0210i −0.142792 + 0.698136i
\(13\) −2.68249 2.68249i −0.0572300 0.0572300i 0.677913 0.735143i \(-0.262885\pi\)
−0.735143 + 0.677913i \(0.762885\pi\)
\(14\) 33.6917 62.6254i 0.643178 1.19552i
\(15\) −30.3906 28.1101i −0.523121 0.483867i
\(16\) 25.1290 58.8603i 0.392641 0.919692i
\(17\) −20.2367 + 20.2367i −0.288713 + 0.288713i −0.836571 0.547858i \(-0.815443\pi\)
0.547858 + 0.836571i \(0.315443\pi\)
\(18\) 36.0001 10.8144i 0.471406 0.141610i
\(19\) −135.808 −1.63981 −0.819906 0.572498i \(-0.805975\pi\)
−0.819906 + 0.572498i \(0.805975\pi\)
\(20\) 52.1592 + 72.6596i 0.583157 + 0.812359i
\(21\) 93.0948 0.967379
\(22\) −19.9802 + 6.00204i −0.193627 + 0.0581654i
\(23\) 71.0426 71.0426i 0.644061 0.644061i −0.307490 0.951551i \(-0.599489\pi\)
0.951551 + 0.307490i \(0.0994892\pi\)
\(24\) 83.4434 7.53642i 0.709700 0.0640985i
\(25\) −124.621 + 9.73070i −0.996965 + 0.0778456i
\(26\) −5.08361 + 9.44930i −0.0383453 + 0.0712754i
\(27\) 105.488 + 105.488i 0.751893 + 0.751893i
\(28\) −197.059 40.3050i −1.33002 0.272033i
\(29\) 34.2890i 0.219562i 0.993956 + 0.109781i \(0.0350150\pi\)
−0.993956 + 0.109781i \(0.964985\pi\)
\(30\) −51.4160 + 105.198i −0.312908 + 0.640213i
\(31\) 187.974i 1.08907i 0.838739 + 0.544533i \(0.183293\pi\)
−0.838739 + 0.544533i \(0.816707\pi\)
\(32\) −179.892 20.1737i −0.993771 0.111445i
\(33\) −19.3117 19.3117i −0.101871 0.101871i
\(34\) 71.2855 + 38.3507i 0.359569 + 0.193444i
\(35\) 190.874 206.359i 0.921816 0.996600i
\(36\) −58.5893 88.7186i −0.271247 0.410734i
\(37\) 250.679 250.679i 1.11382 1.11382i 0.121190 0.992629i \(-0.461329\pi\)
0.992629 0.121190i \(-0.0386712\pi\)
\(38\) 110.512 + 367.882i 0.471773 + 1.57048i
\(39\) −14.0467 −0.0576737
\(40\) 154.380 200.417i 0.610239 0.792217i
\(41\) −211.105 −0.804122 −0.402061 0.915613i \(-0.631706\pi\)
−0.402061 + 0.915613i \(0.631706\pi\)
\(42\) −75.7547 252.179i −0.278314 0.926479i
\(43\) −46.7326 + 46.7326i −0.165736 + 0.165736i −0.785102 0.619366i \(-0.787390\pi\)
0.619366 + 0.785102i \(0.287390\pi\)
\(44\) 32.5172 + 49.2390i 0.111412 + 0.168706i
\(45\) 148.472 5.78774i 0.491843 0.0191730i
\(46\) −250.253 134.633i −0.802126 0.431535i
\(47\) −189.707 189.707i −0.588757 0.588757i 0.348538 0.937295i \(-0.386678\pi\)
−0.937295 + 0.348538i \(0.886678\pi\)
\(48\) −88.3159 219.902i −0.265569 0.661254i
\(49\) 289.134i 0.842956i
\(50\) 127.767 + 329.660i 0.361381 + 0.932418i
\(51\) 105.968i 0.290952i
\(52\) 29.7334 + 6.08147i 0.0792939 + 0.0162182i
\(53\) −74.5742 74.5742i −0.193275 0.193275i 0.603835 0.797109i \(-0.293639\pi\)
−0.797109 + 0.603835i \(0.793639\pi\)
\(54\) 199.910 371.589i 0.503784 0.936423i
\(55\) −82.4025 + 3.21221i −0.202021 + 0.00787517i
\(56\) 51.1739 + 566.598i 0.122114 + 1.35205i
\(57\) −355.575 + 355.575i −0.826263 + 0.826263i
\(58\) 92.8835 27.9022i 0.210279 0.0631679i
\(59\) −101.072 −0.223024 −0.111512 0.993763i \(-0.535569\pi\)
−0.111512 + 0.993763i \(0.535569\pi\)
\(60\) 326.803 + 53.6747i 0.703168 + 0.115489i
\(61\) 232.112 0.487196 0.243598 0.969876i \(-0.421672\pi\)
0.243598 + 0.969876i \(0.421672\pi\)
\(62\) 509.191 152.961i 1.04302 0.313324i
\(63\) −236.271 + 236.271i −0.472497 + 0.472497i
\(64\) 91.7370 + 503.715i 0.179174 + 0.983817i
\(65\) −28.8002 + 31.1367i −0.0549573 + 0.0594158i
\(66\) −36.5978 + 68.0271i −0.0682557 + 0.126872i
\(67\) 34.7419 + 34.7419i 0.0633493 + 0.0633493i 0.738072 0.674722i \(-0.235737\pi\)
−0.674722 + 0.738072i \(0.735737\pi\)
\(68\) 45.8785 224.309i 0.0818175 0.400021i
\(69\) 372.010i 0.649054i
\(70\) −714.314 349.126i −1.21967 0.596121i
\(71\) 614.600i 1.02732i −0.857994 0.513660i \(-0.828289\pi\)
0.857994 0.513660i \(-0.171711\pi\)
\(72\) −192.649 + 230.903i −0.315331 + 0.377946i
\(73\) −37.4378 37.4378i −0.0600242 0.0600242i 0.676457 0.736482i \(-0.263514\pi\)
−0.736482 + 0.676457i \(0.763514\pi\)
\(74\) −883.036 475.063i −1.38717 0.746283i
\(75\) −300.807 + 351.761i −0.463123 + 0.541572i
\(76\) 906.607 598.718i 1.36836 0.903654i
\(77\) 131.131 131.131i 0.194074 0.194074i
\(78\) 11.4303 + 38.0504i 0.0165927 + 0.0552353i
\(79\) 1002.91 1.42831 0.714153 0.699990i \(-0.246812\pi\)
0.714153 + 0.699990i \(0.246812\pi\)
\(80\) −668.522 255.104i −0.934288 0.356518i
\(81\) 193.554 0.265506
\(82\) 171.784 + 571.850i 0.231346 + 0.770125i
\(83\) 423.190 423.190i 0.559652 0.559652i −0.369556 0.929208i \(-0.620490\pi\)
0.929208 + 0.369556i \(0.120490\pi\)
\(84\) −621.470 + 410.415i −0.807237 + 0.533095i
\(85\) 234.895 + 217.269i 0.299740 + 0.277248i
\(86\) 164.619 + 88.5632i 0.206411 + 0.111047i
\(87\) 89.7761 + 89.7761i 0.110632 + 0.110632i
\(88\) 106.920 128.152i 0.129520 0.155239i
\(89\) 1049.38i 1.24982i −0.780695 0.624912i \(-0.785135\pi\)
0.780695 0.624912i \(-0.214865\pi\)
\(90\) −136.495 397.478i −0.159865 0.465532i
\(91\) 95.3802i 0.109874i
\(92\) −161.060 + 787.453i −0.182518 + 0.892365i
\(93\) 492.156 + 492.156i 0.548755 + 0.548755i
\(94\) −359.514 + 668.257i −0.394479 + 0.733249i
\(95\) 59.1444 + 1517.22i 0.0638746 + 1.63857i
\(96\) −523.815 + 418.177i −0.556892 + 0.444583i
\(97\) −536.526 + 536.526i −0.561608 + 0.561608i −0.929764 0.368156i \(-0.879989\pi\)
0.368156 + 0.929764i \(0.379989\pi\)
\(98\) 783.218 235.279i 0.807316 0.242518i
\(99\) 98.0246 0.0995136
\(100\) 789.027 614.358i 0.789027 0.614358i
\(101\) −1415.80 −1.39483 −0.697414 0.716668i \(-0.745666\pi\)
−0.697414 + 0.716668i \(0.745666\pi\)
\(102\) 287.052 86.2303i 0.278650 0.0837066i
\(103\) −284.920 + 284.920i −0.272563 + 0.272563i −0.830131 0.557568i \(-0.811735\pi\)
0.557568 + 0.830131i \(0.311735\pi\)
\(104\) −7.72143 85.4919i −0.00728027 0.0806074i
\(105\) −40.5429 1040.04i −0.0376817 0.966645i
\(106\) −141.326 + 262.694i −0.129498 + 0.240708i
\(107\) −464.315 464.315i −0.419505 0.419505i 0.465528 0.885033i \(-0.345864\pi\)
−0.885033 + 0.465528i \(0.845864\pi\)
\(108\) −1169.25 239.150i −1.04177 0.213076i
\(109\) 638.365i 0.560957i 0.959860 + 0.280478i \(0.0904931\pi\)
−0.959860 + 0.280478i \(0.909507\pi\)
\(110\) 75.7553 + 220.601i 0.0656635 + 0.191214i
\(111\) 1312.66i 1.12246i
\(112\) 1493.18 599.684i 1.25976 0.505936i
\(113\) 1001.84 + 1001.84i 0.834027 + 0.834027i 0.988065 0.154038i \(-0.0492277\pi\)
−0.154038 + 0.988065i \(0.549228\pi\)
\(114\) 1252.54 + 673.852i 1.02905 + 0.553614i
\(115\) −824.616 762.738i −0.668660 0.618484i
\(116\) −151.165 228.902i −0.120994 0.183216i
\(117\) 35.6500 35.6500i 0.0281696 0.0281696i
\(118\) 82.2456 + 273.787i 0.0641638 + 0.213594i
\(119\) −719.548 −0.554293
\(120\) −120.535 928.935i −0.0916944 0.706665i
\(121\) 1276.60 0.959126
\(122\) −188.878 628.756i −0.140166 0.466598i
\(123\) −552.718 + 552.718i −0.405178 + 0.405178i
\(124\) −828.695 1254.85i −0.600153 0.908780i
\(125\) 162.982 + 1388.01i 0.116621 + 0.993177i
\(126\) 832.282 + 447.758i 0.588457 + 0.316583i
\(127\) −619.456 619.456i −0.432818 0.432818i 0.456768 0.889586i \(-0.349007\pi\)
−0.889586 + 0.456768i \(0.849007\pi\)
\(128\) 1289.83 658.392i 0.890674 0.454642i
\(129\) 244.712i 0.167021i
\(130\) 107.780 + 52.6782i 0.0727150 + 0.0355399i
\(131\) 1620.12i 1.08054i 0.841491 + 0.540270i \(0.181678\pi\)
−0.841491 + 0.540270i \(0.818322\pi\)
\(132\) 214.056 + 43.7815i 0.141145 + 0.0288689i
\(133\) −2414.43 2414.43i −1.57412 1.57412i
\(134\) 65.8397 122.381i 0.0424454 0.0788965i
\(135\) 1132.55 1224.43i 0.722034 0.780611i
\(136\) −644.950 + 58.2504i −0.406647 + 0.0367274i
\(137\) 825.076 825.076i 0.514533 0.514533i −0.401379 0.915912i \(-0.631469\pi\)
0.915912 + 0.401379i \(0.131469\pi\)
\(138\) −1007.72 + 302.718i −0.621613 + 0.186733i
\(139\) 1264.21 0.771430 0.385715 0.922618i \(-0.373955\pi\)
0.385715 + 0.922618i \(0.373955\pi\)
\(140\) −364.462 + 2219.06i −0.220019 + 1.33961i
\(141\) −993.387 −0.593321
\(142\) −1664.86 + 500.123i −0.983885 + 0.295559i
\(143\) −19.7858 + 19.7858i −0.0115704 + 0.0115704i
\(144\) 782.244 + 333.961i 0.452688 + 0.193264i
\(145\) 383.072 14.9329i 0.219396 0.00855247i
\(146\) −70.9487 + 131.878i −0.0402175 + 0.0747553i
\(147\) 757.016 + 757.016i 0.424746 + 0.424746i
\(148\) −568.312 + 2778.58i −0.315642 + 1.54323i
\(149\) 1351.49i 0.743079i 0.928417 + 0.371539i \(0.121170\pi\)
−0.928417 + 0.371539i \(0.878830\pi\)
\(150\) 1197.64 + 528.598i 0.651915 + 0.287732i
\(151\) 2325.64i 1.25336i 0.779275 + 0.626682i \(0.215588\pi\)
−0.779275 + 0.626682i \(0.784412\pi\)
\(152\) −2359.57 1968.66i −1.25912 1.05052i
\(153\) −268.943 268.943i −0.142109 0.142109i
\(154\) −461.918 248.507i −0.241704 0.130034i
\(155\) 2100.01 81.8626i 1.08824 0.0424217i
\(156\) 93.7712 61.9260i 0.0481263 0.0317823i
\(157\) 162.486 162.486i 0.0825976 0.0825976i −0.664601 0.747199i \(-0.731398\pi\)
0.747199 + 0.664601i \(0.231398\pi\)
\(158\) −816.105 2716.73i −0.410923 1.36792i
\(159\) −390.503 −0.194773
\(160\) −147.035 + 2018.51i −0.0726509 + 0.997357i
\(161\) 2526.03 1.23651
\(162\) −157.502 524.307i −0.0763859 0.254281i
\(163\) 932.441 932.441i 0.448064 0.448064i −0.446647 0.894710i \(-0.647382\pi\)
0.894710 + 0.446647i \(0.147382\pi\)
\(164\) 1409.26 930.670i 0.671006 0.443129i
\(165\) −207.337 + 224.158i −0.0978255 + 0.105762i
\(166\) −1490.72 801.990i −0.697002 0.374979i
\(167\) 976.461 + 976.461i 0.452460 + 0.452460i 0.896170 0.443710i \(-0.146338\pi\)
−0.443710 + 0.896170i \(0.646338\pi\)
\(168\) 1617.46 + 1349.49i 0.742798 + 0.619737i
\(169\) 2182.61i 0.993449i
\(170\) 397.404 813.093i 0.179291 0.366831i
\(171\) 1804.87i 0.807143i
\(172\) 105.947 517.995i 0.0469674 0.229632i
\(173\) 761.698 + 761.698i 0.334745 + 0.334745i 0.854385 0.519640i \(-0.173934\pi\)
−0.519640 + 0.854385i \(0.673934\pi\)
\(174\) 170.135 316.244i 0.0741260 0.137784i
\(175\) −2388.54 2042.54i −1.03175 0.882296i
\(176\) −434.148 185.349i −0.185938 0.0793818i
\(177\) −264.628 + 264.628i −0.112376 + 0.112376i
\(178\) −2842.61 + 853.921i −1.19698 + 0.359574i
\(179\) −4003.32 −1.67163 −0.835816 0.549009i \(-0.815005\pi\)
−0.835816 + 0.549009i \(0.815005\pi\)
\(180\) −965.635 + 693.188i −0.399857 + 0.287040i
\(181\) −1950.00 −0.800785 −0.400392 0.916344i \(-0.631126\pi\)
−0.400392 + 0.916344i \(0.631126\pi\)
\(182\) −258.370 + 77.6144i −0.105229 + 0.0316108i
\(183\) 607.721 607.721i 0.245487 0.245487i
\(184\) 2264.15 204.493i 0.907147 0.0819315i
\(185\) −2909.72 2691.38i −1.15636 1.06959i
\(186\) 932.688 1733.66i 0.367677 0.683430i
\(187\) 149.264 + 149.264i 0.0583704 + 0.0583704i
\(188\) 2102.75 + 430.083i 0.815740 + 0.166846i
\(189\) 3750.78i 1.44354i
\(190\) 4061.80 1394.83i 1.55091 0.532589i
\(191\) 1458.80i 0.552644i 0.961065 + 0.276322i \(0.0891156\pi\)
−0.961065 + 0.276322i \(0.910884\pi\)
\(192\) 1559.02 + 1078.65i 0.586004 + 0.405441i
\(193\) 2264.70 + 2264.70i 0.844647 + 0.844647i 0.989459 0.144812i \(-0.0462577\pi\)
−0.144812 + 0.989459i \(0.546258\pi\)
\(194\) 1889.96 + 1016.77i 0.699438 + 0.376289i
\(195\) 6.11736 + 156.928i 0.00224653 + 0.0576300i
\(196\) −1274.67 1930.16i −0.464529 0.703411i
\(197\) 2092.70 2092.70i 0.756845 0.756845i −0.218902 0.975747i \(-0.570247\pi\)
0.975747 + 0.218902i \(0.0702474\pi\)
\(198\) −79.7662 265.533i −0.0286300 0.0953062i
\(199\) −2087.70 −0.743683 −0.371842 0.928296i \(-0.621274\pi\)
−0.371842 + 0.928296i \(0.621274\pi\)
\(200\) −2306.26 1637.43i −0.815386 0.578917i
\(201\) 181.924 0.0638405
\(202\) 1152.09 + 3835.19i 0.401291 + 1.33586i
\(203\) −609.599 + 609.599i −0.210766 + 0.210766i
\(204\) −467.169 707.409i −0.160335 0.242787i
\(205\) 91.9363 + 2358.43i 0.0313225 + 0.803512i
\(206\) 1003.65 + 539.954i 0.339456 + 0.182623i
\(207\) 944.145 + 944.145i 0.317018 + 0.317018i
\(208\) −225.301 + 90.4840i −0.0751048 + 0.0301632i
\(209\) 1001.70i 0.331528i
\(210\) −2784.32 + 956.145i −0.914935 + 0.314192i
\(211\) 199.597i 0.0651223i −0.999470 0.0325611i \(-0.989634\pi\)
0.999470 0.0325611i \(-0.0103664\pi\)
\(212\) 826.598 + 169.067i 0.267788 + 0.0547714i
\(213\) −1609.16 1609.16i −0.517642 0.517642i
\(214\) −879.926 + 1635.59i −0.281077 + 0.522460i
\(215\) 542.442 + 501.738i 0.172066 + 0.159155i
\(216\) 303.641 + 3361.92i 0.0956489 + 1.05903i
\(217\) −3341.84 + 3341.84i −1.04543 + 1.04543i
\(218\) 1729.23 519.461i 0.537240 0.161387i
\(219\) −196.041 −0.0604896
\(220\) 535.930 384.721i 0.164238 0.117899i
\(221\) 108.570 0.0330461
\(222\) −3555.80 + 1068.16i −1.07500 + 0.322930i
\(223\) 3340.24 3340.24i 1.00304 1.00304i 0.00304854 0.999995i \(-0.499030\pi\)
0.999995 0.00304854i \(-0.000970381\pi\)
\(224\) −2839.51 3556.82i −0.846976 1.06094i
\(225\) −129.320 1656.19i −0.0383169 0.490723i
\(226\) 1898.59 3529.06i 0.558816 1.03871i
\(227\) 824.316 + 824.316i 0.241021 + 0.241021i 0.817272 0.576251i \(-0.195485\pi\)
−0.576251 + 0.817272i \(0.695485\pi\)
\(228\) 806.121 3941.27i 0.234152 1.14481i
\(229\) 4512.23i 1.30208i −0.759043 0.651041i \(-0.774333\pi\)
0.759043 0.651041i \(-0.225667\pi\)
\(230\) −1395.12 + 2854.42i −0.399962 + 0.818327i
\(231\) 686.658i 0.195579i
\(232\) −497.050 + 595.749i −0.140659 + 0.168590i
\(233\) −292.574 292.574i −0.0822625 0.0822625i 0.664778 0.747041i \(-0.268526\pi\)
−0.747041 + 0.664778i \(0.768526\pi\)
\(234\) −125.580 67.5605i −0.0350829 0.0188742i
\(235\) −2036.76 + 2201.99i −0.565376 + 0.611243i
\(236\) 674.720 445.581i 0.186104 0.122902i
\(237\) 2625.84 2625.84i 0.719690 0.719690i
\(238\) 585.522 + 1949.14i 0.159470 + 0.530858i
\(239\) 2925.20 0.791696 0.395848 0.918316i \(-0.370451\pi\)
0.395848 + 0.918316i \(0.370451\pi\)
\(240\) −2418.26 + 1082.42i −0.650407 + 0.291125i
\(241\) 4259.40 1.13847 0.569236 0.822174i \(-0.307239\pi\)
0.569236 + 0.822174i \(0.307239\pi\)
\(242\) −1038.81 3458.10i −0.275940 0.918574i
\(243\) −2341.40 + 2341.40i −0.618111 + 0.618111i
\(244\) −1549.50 + 1023.28i −0.406544 + 0.268480i
\(245\) 3230.16 125.918i 0.842316 0.0328351i
\(246\) 1947.00 + 1047.46i 0.504617 + 0.271478i
\(247\) 364.304 + 364.304i 0.0938465 + 0.0938465i
\(248\) −2724.85 + 3265.92i −0.697694 + 0.836235i
\(249\) 2216.01i 0.563991i
\(250\) 3627.27 1570.97i 0.917634 0.397426i
\(251\) 5268.72i 1.32493i −0.749091 0.662467i \(-0.769509\pi\)
0.749091 0.662467i \(-0.230491\pi\)
\(252\) 535.647 2618.88i 0.133899 0.654658i
\(253\) −524.003 524.003i −0.130213 0.130213i
\(254\) −1173.94 + 2182.08i −0.289997 + 0.539040i
\(255\) 1183.86 46.1493i 0.290731 0.0113333i
\(256\) −2833.07 2958.20i −0.691667 0.722217i
\(257\) −5635.08 + 5635.08i −1.36773 + 1.36773i −0.504061 + 0.863668i \(0.668161\pi\)
−0.863668 + 0.504061i \(0.831839\pi\)
\(258\) 662.888 199.132i 0.159960 0.0480519i
\(259\) 8913.27 2.13839
\(260\) 54.9923 334.826i 0.0131172 0.0798654i
\(261\) −455.696 −0.108072
\(262\) 4388.66 1318.35i 1.03486 0.310871i
\(263\) −2721.99 + 2721.99i −0.638195 + 0.638195i −0.950110 0.311915i \(-0.899030\pi\)
0.311915 + 0.950110i \(0.399030\pi\)
\(264\) −55.5878 615.470i −0.0129591 0.143483i
\(265\) −800.655 + 865.609i −0.185599 + 0.200656i
\(266\) −4575.60 + 8505.01i −1.05469 + 1.96044i
\(267\) −2747.51 2747.51i −0.629757 0.629757i
\(268\) −385.088 78.7632i −0.0877723 0.0179523i
\(269\) 603.964i 0.136893i 0.997655 + 0.0684467i \(0.0218043\pi\)
−0.997655 + 0.0684467i \(0.978196\pi\)
\(270\) −4238.40 2071.54i −0.955336 0.466926i
\(271\) 4232.24i 0.948672i 0.880344 + 0.474336i \(0.157312\pi\)
−0.880344 + 0.474336i \(0.842688\pi\)
\(272\) 682.611 + 1699.67i 0.152167 + 0.378888i
\(273\) −249.726 249.726i −0.0553631 0.0553631i
\(274\) −2906.40 1563.61i −0.640810 0.344748i
\(275\) 71.7727 + 919.189i 0.0157384 + 0.201561i
\(276\) 1640.03 + 2483.41i 0.357675 + 0.541609i
\(277\) 3214.07 3214.07i 0.697165 0.697165i −0.266633 0.963798i \(-0.585911\pi\)
0.963798 + 0.266633i \(0.0859113\pi\)
\(278\) −1028.73 3424.54i −0.221940 0.738815i
\(279\) −2498.14 −0.536056
\(280\) 6307.67 818.461i 1.34627 0.174687i
\(281\) −7574.78 −1.60809 −0.804046 0.594567i \(-0.797323\pi\)
−0.804046 + 0.594567i \(0.797323\pi\)
\(282\) 808.356 + 2690.93i 0.170698 + 0.568236i
\(283\) −504.094 + 504.094i −0.105884 + 0.105884i −0.758064 0.652180i \(-0.773855\pi\)
0.652180 + 0.758064i \(0.273855\pi\)
\(284\) 2709.51 + 4102.87i 0.566126 + 0.857255i
\(285\) 4127.28 + 3817.58i 0.857821 + 0.793451i
\(286\) 69.6971 + 37.4962i 0.0144101 + 0.00775244i
\(287\) −3753.08 3753.08i −0.771906 0.771906i
\(288\) 268.106 2390.73i 0.0548552 0.489150i
\(289\) 4093.95i 0.833289i
\(290\) −352.170 1025.53i −0.0713109 0.207659i
\(291\) 2809.49i 0.565962i
\(292\) 414.970 + 84.8750i 0.0831653 + 0.0170101i
\(293\) −244.144 244.144i −0.0486793 0.0486793i 0.682348 0.731027i \(-0.260959\pi\)
−0.731027 + 0.682348i \(0.760959\pi\)
\(294\) 1434.63 2666.65i 0.284589 0.528987i
\(295\) 44.0167 + 1129.16i 0.00868730 + 0.222854i
\(296\) 7989.20 721.566i 1.56879 0.141690i
\(297\) 778.066 778.066i 0.152013 0.152013i
\(298\) 3660.99 1099.76i 0.711662 0.213783i
\(299\) −381.143 −0.0737192
\(300\) 457.323 3674.37i 0.0880118 0.707133i
\(301\) −1661.65 −0.318192
\(302\) 6299.80 1892.46i 1.20037 0.360592i
\(303\) −3706.88 + 3706.88i −0.702822 + 0.702822i
\(304\) −3412.71 + 7993.69i −0.643857 + 1.50812i
\(305\) −101.085 2593.13i −0.0189774 0.486826i
\(306\) −509.676 + 947.373i −0.0952164 + 0.176986i
\(307\) −6853.22 6853.22i −1.27405 1.27405i −0.943942 0.330110i \(-0.892914\pi\)
−0.330110 0.943942i \(1.39291\pi\)
\(308\) −297.286 + 1453.48i −0.0549981 + 0.268896i
\(309\) 1491.97i 0.274676i
\(310\) −1930.61 5621.99i −0.353714 1.03002i
\(311\) 10802.7i 1.96966i −0.173510 0.984832i \(-0.555511\pi\)
0.173510 0.984832i \(-0.444489\pi\)
\(312\) −244.053 203.620i −0.0442845 0.0369478i
\(313\) 2618.43 + 2618.43i 0.472851 + 0.472851i 0.902836 0.429985i \(-0.141481\pi\)
−0.429985 + 0.902836i \(0.641481\pi\)
\(314\) −572.372 307.929i −0.102869 0.0553422i
\(315\) 2742.48 + 2536.68i 0.490543 + 0.453733i
\(316\) −6695.09 + 4421.40i −1.19186 + 0.787098i
\(317\) 3652.64 3652.64i 0.647170 0.647170i −0.305138 0.952308i \(-0.598703\pi\)
0.952308 + 0.305138i \(0.0987027\pi\)
\(318\) 317.767 + 1057.81i 0.0560361 + 0.186538i
\(319\) 252.912 0.0443898
\(320\) 5587.47 1244.24i 0.976092 0.217360i
\(321\) −2431.36 −0.422757
\(322\) −2055.52 6842.61i −0.355745 1.18424i
\(323\) 2748.30 2748.30i 0.473436 0.473436i
\(324\) −1292.10 + 853.296i −0.221554 + 0.146313i
\(325\) 360.397 + 308.192i 0.0615115 + 0.0526012i
\(326\) −3284.60 1767.07i −0.558028 0.300212i
\(327\) 1671.38 + 1671.38i 0.282653 + 0.282653i
\(328\) −3667.81 3060.16i −0.617442 0.515149i
\(329\) 6745.31i 1.13034i
\(330\) 775.927 + 379.239i 0.129434 + 0.0632619i
\(331\) 7839.91i 1.30187i 0.759131 + 0.650937i \(0.225624\pi\)
−0.759131 + 0.650937i \(0.774376\pi\)
\(332\) −959.411 + 4690.74i −0.158598 + 0.775415i
\(333\) 3331.48 + 3331.48i 0.548241 + 0.548241i
\(334\) 1850.50 3439.66i 0.303158 0.563503i
\(335\) 373.002 403.262i 0.0608336 0.0657688i
\(336\) 2339.38 5479.59i 0.379832 0.889691i
\(337\) −4503.23 + 4503.23i −0.727912 + 0.727912i −0.970204 0.242291i \(-0.922101\pi\)
0.242291 + 0.970204i \(0.422101\pi\)
\(338\) −5912.34 + 1776.07i −0.951447 + 0.285815i
\(339\) 5246.07 0.840494
\(340\) −2525.92 414.862i −0.402904 0.0661736i
\(341\) 1386.47 0.220181
\(342\) −4889.10 + 1468.69i −0.773018 + 0.232215i
\(343\) 957.648 957.648i 0.150753 0.150753i
\(344\) −1489.38 + 134.517i −0.233436 + 0.0210834i
\(345\) −4156.04 + 162.011i −0.648562 + 0.0252822i
\(346\) 1443.50 2683.14i 0.224286 0.416898i
\(347\) 8458.77 + 8458.77i 1.30862 + 1.30862i 0.922413 + 0.386205i \(0.126214\pi\)
0.386205 + 0.922413i \(0.373786\pi\)
\(348\) −995.100 203.531i −0.153284 0.0313517i
\(349\) 5515.41i 0.845941i −0.906144 0.422970i \(-0.860987\pi\)
0.906144 0.422970i \(-0.139013\pi\)
\(350\) −3589.30 + 8132.26i −0.548160 + 1.24196i
\(351\) 565.940i 0.0860617i
\(352\) −148.799 + 1326.86i −0.0225314 + 0.200915i
\(353\) −761.447 761.447i −0.114810 0.114810i 0.647368 0.762178i \(-0.275870\pi\)
−0.762178 + 0.647368i \(0.775870\pi\)
\(354\) 932.172 + 501.497i 0.139956 + 0.0752946i
\(355\) −6866.23 + 267.659i −1.02654 + 0.0400165i
\(356\) 4626.28 + 7005.33i 0.688742 + 1.04293i
\(357\) −1883.93 + 1883.93i −0.279295 + 0.279295i
\(358\) 3257.65 + 10844.4i 0.480928 + 1.60096i
\(359\) 3564.71 0.524062 0.262031 0.965059i \(-0.415608\pi\)
0.262031 + 0.965059i \(0.415608\pi\)
\(360\) 2663.51 + 2051.68i 0.389942 + 0.300370i
\(361\) 11584.8 1.68899
\(362\) 1586.78 + 5282.23i 0.230385 + 0.766928i
\(363\) 3342.41 3342.41i 0.483281 0.483281i
\(364\) 420.491 + 636.726i 0.0605486 + 0.0916855i
\(365\) −401.946 + 434.554i −0.0576405 + 0.0623167i
\(366\) −2140.75 1151.70i −0.305734 0.164481i
\(367\) 4407.82 + 4407.82i 0.626939 + 0.626939i 0.947297 0.320358i \(-0.103803\pi\)
−0.320358 + 0.947297i \(0.603803\pi\)
\(368\) −2396.36 5966.81i −0.339453 0.845222i
\(369\) 2805.55i 0.395802i
\(370\) −4922.77 + 10072.0i −0.691683 + 1.41519i
\(371\) 2651.60i 0.371063i
\(372\) −5455.17 1115.76i −0.760316 0.155510i
\(373\) −8371.19 8371.19i −1.16205 1.16205i −0.984027 0.178021i \(-0.943030\pi\)
−0.178021 0.984027i \(-0.556970\pi\)
\(374\) 282.871 525.794i 0.0391094 0.0726957i
\(375\) 4060.83 + 3207.38i 0.559201 + 0.441676i
\(376\) −546.061 6046.00i −0.0748962 0.829252i
\(377\) 91.9800 91.9800i 0.0125656 0.0125656i
\(378\) 10160.3 3052.15i 1.38251 0.415305i
\(379\) −11130.1 −1.50848 −0.754240 0.656599i \(-0.771994\pi\)
−0.754240 + 0.656599i \(0.771994\pi\)
\(380\) −7083.62 9867.74i −0.956269 1.33212i
\(381\) −3243.75 −0.436174
\(382\) 3951.66 1187.08i 0.529279 0.158995i
\(383\) 1006.62 1006.62i 0.134297 0.134297i −0.636763 0.771060i \(-0.719727\pi\)
0.771060 + 0.636763i \(0.219727\pi\)
\(384\) 1653.25 5100.88i 0.219706 0.677873i
\(385\) −1522.08 1407.87i −0.201487 0.186367i
\(386\) 4291.85 7977.60i 0.565932 1.05194i
\(387\) −621.069 621.069i −0.0815781 0.0815781i
\(388\) 1216.35 5946.98i 0.159152 0.778124i
\(389\) 13548.4i 1.76589i 0.469478 + 0.882944i \(0.344442\pi\)
−0.469478 + 0.882944i \(0.655558\pi\)
\(390\) 420.115 144.269i 0.0545471 0.0187317i
\(391\) 2875.34i 0.371898i
\(392\) −4191.26 + 5023.52i −0.540027 + 0.647260i
\(393\) 4241.84 + 4241.84i 0.544459 + 0.544459i
\(394\) −7371.69 3965.88i −0.942590 0.507102i
\(395\) −436.768 11204.4i −0.0556359 1.42722i
\(396\) −654.379 + 432.148i −0.0830399 + 0.0548391i
\(397\) 1822.81 1822.81i 0.230439 0.230439i −0.582437 0.812876i \(-0.697901\pi\)
0.812876 + 0.582437i \(0.197901\pi\)
\(398\) 1698.84 + 5655.25i 0.213957 + 0.712241i
\(399\) −12643.0 −1.58632
\(400\) −2558.84 + 7579.73i −0.319855 + 0.947466i
\(401\) 5922.04 0.737488 0.368744 0.929531i \(-0.379788\pi\)
0.368744 + 0.929531i \(0.379788\pi\)
\(402\) −148.038 492.804i −0.0183669 0.0611413i
\(403\) 504.238 504.238i 0.0623273 0.0623273i
\(404\) 9451.43 6241.67i 1.16393 0.768650i
\(405\) −84.2929 2162.36i −0.0103421 0.265305i
\(406\) 2147.36 + 1155.25i 0.262492 + 0.141218i
\(407\) −1848.98 1848.98i −0.225186 0.225186i
\(408\) −1536.11 + 1841.13i −0.186394 + 0.223406i
\(409\) 8533.05i 1.03162i 0.856703 + 0.515809i \(0.172509\pi\)
−0.856703 + 0.515809i \(0.827491\pi\)
\(410\) 6313.81 2168.18i 0.760529 0.261168i
\(411\) 4320.46i 0.518522i
\(412\) 645.940 3158.12i 0.0772408 0.377644i
\(413\) −1796.88 1796.88i −0.214088 0.214088i
\(414\) 1789.26 3325.83i 0.212408 0.394820i
\(415\) −4912.12 4543.52i −0.581027 0.537428i
\(416\) 428.443 + 536.674i 0.0504955 + 0.0632515i
\(417\) 3309.98 3309.98i 0.388706 0.388706i
\(418\) 2713.46 815.124i 0.317511 0.0953804i
\(419\) −7128.02 −0.831089 −0.415545 0.909573i \(-0.636409\pi\)
−0.415545 + 0.909573i \(0.636409\pi\)
\(420\) 4855.75 + 6764.24i 0.564134 + 0.785859i
\(421\) −611.239 −0.0707601 −0.0353800 0.999374i \(-0.511264\pi\)
−0.0353800 + 0.999374i \(0.511264\pi\)
\(422\) −540.676 + 162.419i −0.0623690 + 0.0187356i
\(423\) 2521.17 2521.17i 0.289796 0.289796i
\(424\) −214.658 2376.70i −0.0245866 0.272223i
\(425\) 2325.00 2718.83i 0.265362 0.310312i
\(426\) −3049.53 + 5668.39i −0.346831 + 0.644682i
\(427\) 4126.56 + 4126.56i 0.467677 + 0.467677i
\(428\) 5146.58 + 1052.65i 0.581236 + 0.118882i
\(429\) 103.607i 0.0116601i
\(430\) 917.724 1877.67i 0.102922 0.210580i
\(431\) 9361.72i 1.04626i 0.852253 + 0.523130i \(0.175236\pi\)
−0.852253 + 0.523130i \(0.824764\pi\)
\(432\) 8859.84 3558.24i 0.986734 0.396286i
\(433\) −1769.48 1769.48i −0.196388 0.196388i 0.602062 0.798450i \(-0.294346\pi\)
−0.798450 + 0.602062i \(0.794346\pi\)
\(434\) 11771.9 + 6333.15i 1.30200 + 0.700463i
\(435\) 963.868 1042.06i 0.106239 0.114858i
\(436\) −2814.28 4261.51i −0.309127 0.468095i
\(437\) −9648.13 + 9648.13i −1.05614 + 1.05614i
\(438\) 159.526 + 531.044i 0.0174028 + 0.0579321i
\(439\) 7823.34 0.850541 0.425271 0.905066i \(-0.360179\pi\)
0.425271 + 0.905066i \(0.360179\pi\)
\(440\) −1478.25 1138.69i −0.160166 0.123375i
\(441\) −3842.54 −0.414917
\(442\) −88.3472 294.099i −0.00950735 0.0316490i
\(443\) −9066.48 + 9066.48i −0.972374 + 0.972374i −0.999629 0.0272545i \(-0.991324\pi\)
0.0272545 + 0.999629i \(0.491324\pi\)
\(444\) 5786.97 + 8762.91i 0.618553 + 0.936642i
\(445\) −11723.5 + 457.007i −1.24888 + 0.0486836i
\(446\) −11766.3 6330.10i −1.24921 0.672061i
\(447\) 3538.51 + 3538.51i 0.374420 + 0.374420i
\(448\) −7324.25 + 10586.1i −0.772407 + 1.11640i
\(449\) 3381.93i 0.355464i −0.984079 0.177732i \(-0.943124\pi\)
0.984079 0.177732i \(-0.0568759\pi\)
\(450\) −4381.13 + 1698.01i −0.458952 + 0.177878i
\(451\) 1557.09i 0.162573i
\(452\) −11104.6 2271.26i −1.15557 0.236352i
\(453\) 6089.04 + 6089.04i 0.631541 + 0.631541i
\(454\) 1562.17 2903.72i 0.161489 0.300173i
\(455\) −1065.57 + 41.5382i −0.109791 + 0.00427987i
\(456\) −11332.3 + 1023.50i −1.16378 + 0.105110i
\(457\) 10289.7 10289.7i 1.05324 1.05324i 0.0547399 0.998501i \(-0.482567\pi\)
0.998501 0.0547399i \(-0.0174330\pi\)
\(458\) −12222.9 + 3671.77i −1.24703 + 0.374608i
\(459\) −4269.45 −0.434163
\(460\) 8867.45 + 1456.40i 0.898798 + 0.147620i
\(461\) −5310.20 −0.536488 −0.268244 0.963351i \(-0.586443\pi\)
−0.268244 + 0.963351i \(0.586443\pi\)
\(462\) −1860.05 + 558.759i −0.187310 + 0.0562680i
\(463\) 7686.78 7686.78i 0.771566 0.771566i −0.206814 0.978380i \(-0.566310\pi\)
0.978380 + 0.206814i \(0.0663096\pi\)
\(464\) 2018.26 + 861.648i 0.201930 + 0.0862091i
\(465\) 5283.96 5712.63i 0.526963 0.569714i
\(466\) −554.459 + 1030.62i −0.0551176 + 0.102451i
\(467\) 4535.99 + 4535.99i 0.449466 + 0.449466i 0.895177 0.445711i \(-0.147049\pi\)
−0.445711 + 0.895177i \(0.647049\pi\)
\(468\) −80.8218 + 395.153i −0.00798288 + 0.0390298i
\(469\) 1235.30i 0.121623i
\(470\) 7622.24 + 3725.42i 0.748059 + 0.365618i
\(471\) 850.850i 0.0832380i
\(472\) −1756.05 1465.12i −0.171248 0.142877i
\(473\) 344.695 + 344.695i 0.0335076 + 0.0335076i
\(474\) −9249.72 4976.24i −0.896316 0.482208i
\(475\) 16924.5 1321.51i 1.63484 0.127652i
\(476\) 4803.46 3172.18i 0.462534 0.305455i
\(477\) 991.080 991.080i 0.0951330 0.0951330i
\(478\) −2380.34 7923.91i −0.227771 0.758224i
\(479\) 10969.6 1.04638 0.523189 0.852217i \(-0.324742\pi\)
0.523189 + 0.852217i \(0.324742\pi\)
\(480\) 4899.93 + 5669.87i 0.465938 + 0.539152i
\(481\) −1344.89 −0.127488
\(482\) −3466.03 11538.0i −0.327538 1.09034i
\(483\) 6613.70 6613.70i 0.623051 0.623051i
\(484\) −8522.13 + 5627.97i −0.800350 + 0.528547i
\(485\) 6227.65 + 5760.33i 0.583058 + 0.539306i
\(486\) 8247.77 + 4437.20i 0.769808 + 0.414147i
\(487\) −12736.0 12736.0i −1.18506 1.18506i −0.978416 0.206646i \(-0.933745\pi\)
−0.206646 0.978416i \(1.43375\pi\)
\(488\) 4032.80 + 3364.68i 0.374091 + 0.312115i
\(489\) 4882.67i 0.451538i
\(490\) −2969.59 8647.53i −0.273781 0.797257i
\(491\) 10518.6i 0.966796i 0.875401 + 0.483398i \(0.160598\pi\)
−0.875401 + 0.483398i \(0.839402\pi\)
\(492\) 1253.06 6126.46i 0.114822 0.561387i
\(493\) −693.897 693.897i −0.0633905 0.0633905i
\(494\) 690.394 1283.29i 0.0628792 0.116878i
\(495\) −42.6898 1095.12i −0.00387629 0.0994380i
\(496\) 11064.2 + 4723.59i 1.00161 + 0.427612i
\(497\) 10926.5 10926.5i 0.986161 0.986161i
\(498\) −6002.82 + 1803.25i −0.540146 + 0.162260i
\(499\) −2445.26 −0.219368 −0.109684 0.993966i \(-0.534984\pi\)
−0.109684 + 0.993966i \(0.534984\pi\)
\(500\) −7207.14 8547.35i −0.644626 0.764498i
\(501\) 5113.18 0.455968
\(502\) −14272.1 + 4287.35i −1.26892 + 0.381183i
\(503\) −12216.7 + 12216.7i −1.08293 + 1.08293i −0.0866986 + 0.996235i \(0.527632\pi\)
−0.996235 + 0.0866986i \(0.972368\pi\)
\(504\) −7530.01 + 680.093i −0.665502 + 0.0601066i
\(505\) 616.584 + 15817.1i 0.0543319 + 1.39377i
\(506\) −993.041 + 1845.84i −0.0872452 + 0.162169i
\(507\) −5714.55 5714.55i −0.500576 0.500576i
\(508\) 6866.20 + 1404.37i 0.599682 + 0.122655i
\(509\) 5615.75i 0.489025i −0.969646 0.244512i \(-0.921372\pi\)
0.969646 0.244512i \(-0.0786279\pi\)
\(510\) −1088.36 3169.35i −0.0944972 0.275178i
\(511\) 1331.16i 0.115239i
\(512\) −5707.93 + 10081.5i −0.492690 + 0.870205i
\(513\) −14326.0 14326.0i −1.23296 1.23296i
\(514\) 19850.0 + 10679.1i 1.70340 + 0.916408i
\(515\) 3307.17 + 3059.00i 0.282973 + 0.261739i
\(516\) −1078.83 1633.62i −0.0920406 0.139372i
\(517\) −1399.26 + 1399.26i −0.119031 + 0.119031i
\(518\) −7253.05 24144.6i −0.615214 2.04798i
\(519\) 3988.58 0.337340
\(520\) −951.740 + 123.494i −0.0802626 + 0.0104146i
\(521\) 5287.10 0.444591 0.222296 0.974979i \(-0.428645\pi\)
0.222296 + 0.974979i \(0.428645\pi\)
\(522\) 370.816 + 1234.41i 0.0310923 + 0.103503i
\(523\) 4328.34 4328.34i 0.361883 0.361883i −0.502623 0.864506i \(-0.667631\pi\)
0.864506 + 0.502623i \(0.167631\pi\)
\(524\) −7142.43 10815.4i −0.595455 0.901666i
\(525\) −11601.5 + 905.878i −0.964443 + 0.0753062i
\(526\) 9588.45 + 5158.47i 0.794821 + 0.427605i
\(527\) −3803.97 3803.97i −0.314428 0.314428i
\(528\) −1621.98 + 651.409i −0.133688 + 0.0536912i
\(529\) 2072.91i 0.170371i
\(530\) 2996.32 + 1464.47i 0.245570 + 0.120024i
\(531\) 1343.23i 0.109776i
\(532\) 26762.1 + 5473.73i 2.18098 + 0.446083i
\(533\) 566.287 + 566.287i 0.0460199 + 0.0460199i
\(534\) −5206.83 + 9678.34i −0.421951 + 0.784312i
\(535\) −4985.05 + 5389.47i −0.402846 + 0.435527i
\(536\) 100.003 + 1107.23i 0.00805871 + 0.0892262i
\(537\) −10481.6 + 10481.6i −0.842297 + 0.842297i
\(538\) 1636.04 491.468i 0.131106 0.0393841i
\(539\) 2132.62 0.170424
\(540\) −2162.54 + 13166.8i −0.172335 + 1.04928i
\(541\) −13608.6 −1.08148 −0.540739 0.841190i \(-0.681855\pi\)
−0.540739 + 0.841190i \(0.681855\pi\)
\(542\) 11464.5 3443.93i 0.908563 0.272932i
\(543\) −5105.52 + 5105.52i −0.403497 + 0.403497i
\(544\) 4048.67 3232.17i 0.319090 0.254739i
\(545\) 7131.72 278.009i 0.560531 0.0218506i
\(546\) −473.258 + 879.681i −0.0370945 + 0.0689503i
\(547\) 2884.33 + 2884.33i 0.225457 + 0.225457i 0.810792 0.585335i \(-0.199037\pi\)
−0.585335 + 0.810792i \(0.699037\pi\)
\(548\) −1870.52 + 9145.34i −0.145812 + 0.712901i
\(549\) 3084.74i 0.239806i
\(550\) 2431.54 942.399i 0.188511 0.0730619i
\(551\) 4656.71i 0.360041i
\(552\) 5392.63 6463.44i 0.415807 0.498374i
\(553\) 17830.0 + 17830.0i 1.37108 + 1.37108i
\(554\) −11321.8 6091.00i −0.868263 0.467115i
\(555\) −14664.9 + 571.666i −1.12160 + 0.0437223i
\(556\) −8439.43 + 5573.35i −0.643726 + 0.425113i
\(557\) −6538.87 + 6538.87i −0.497416 + 0.497416i −0.910633 0.413216i \(-0.864405\pi\)
0.413216 + 0.910633i \(0.364405\pi\)
\(558\) 2032.83 + 6767.07i 0.154223 + 0.513392i
\(559\) 250.720 0.0189702
\(560\) −7349.87 16420.5i −0.554622 1.23909i
\(561\) 781.612 0.0588229
\(562\) 6163.88 + 20518.9i 0.462647 + 1.54010i
\(563\) −6499.93 + 6499.93i −0.486571 + 0.486571i −0.907222 0.420651i \(-0.861802\pi\)
0.420651 + 0.907222i \(0.361802\pi\)
\(564\) 6631.52 4379.42i 0.495102 0.326962i
\(565\) 10756.1 11628.7i 0.800907 0.865882i
\(566\) 1775.71 + 955.311i 0.131870 + 0.0709447i
\(567\) 3441.05 + 3441.05i 0.254869 + 0.254869i
\(568\) 8909.19 10678.3i 0.658136 0.788822i
\(569\) 5264.67i 0.387885i 0.981013 + 0.193942i \(0.0621275\pi\)
−0.981013 + 0.193942i \(0.937872\pi\)
\(570\) 6982.69 14286.7i 0.513110 1.04983i
\(571\) 22034.0i 1.61488i −0.589952 0.807438i \(-0.700853\pi\)
0.589952 0.807438i \(-0.299147\pi\)
\(572\) 44.8563 219.311i 0.00327891 0.0160312i
\(573\) 3819.46 + 3819.46i 0.278464 + 0.278464i
\(574\) −7112.48 + 13220.5i −0.517194 + 0.961348i
\(575\) −8162.08 + 9544.67i −0.591969 + 0.692244i
\(576\) −6694.29 + 1219.17i −0.484251 + 0.0881924i
\(577\) −9208.58 + 9208.58i −0.664399 + 0.664399i −0.956414 0.292015i \(-0.905674\pi\)
0.292015 + 0.956414i \(0.405674\pi\)
\(578\) 11089.9 3331.40i 0.798059 0.239737i
\(579\) 11859.0 0.851196
\(580\) −2491.43 + 1788.49i −0.178363 + 0.128039i
\(581\) 15047.2 1.07446
\(582\) 7610.46 2286.18i 0.542034 0.162827i
\(583\) −550.052 + 550.052i −0.0390751 + 0.0390751i
\(584\) −107.763 1193.15i −0.00763572 0.0845429i
\(585\) −413.802 382.751i −0.0292455 0.0270509i
\(586\) −462.679 + 860.016i −0.0326162 + 0.0606262i
\(587\) −6536.20 6536.20i −0.459587 0.459587i 0.438933 0.898520i \(-0.355357\pi\)
−0.898520 + 0.438933i \(0.855357\pi\)
\(588\) −8390.94 1716.23i −0.588498 0.120367i
\(589\) 25528.3i 1.78586i
\(590\) 3022.89 1038.07i 0.210933 0.0724351i
\(591\) 10958.3i 0.762713i
\(592\) −8455.72 21054.3i −0.587040 1.46170i
\(593\) −11033.7 11033.7i −0.764079 0.764079i 0.212978 0.977057i \(-0.431684\pi\)
−0.977057 + 0.212978i \(0.931684\pi\)
\(594\) −2740.80 1474.52i −0.189321 0.101852i
\(595\) 313.364 + 8038.68i 0.0215910 + 0.553872i
\(596\) −5958.16 9022.12i −0.409489 0.620068i
\(597\) −5466.05 + 5466.05i −0.374725 + 0.374725i
\(598\) 310.150 + 1032.46i 0.0212090 + 0.0706024i
\(599\) −1861.62 −0.126985 −0.0634923 0.997982i \(-0.520224\pi\)
−0.0634923 + 0.997982i \(0.520224\pi\)
\(600\) −10325.4 + 1751.16i −0.702557 + 0.119151i
\(601\) −21693.2 −1.47235 −0.736177 0.676789i \(-0.763371\pi\)
−0.736177 + 0.676789i \(0.763371\pi\)
\(602\) 1352.15 + 4501.15i 0.0915437 + 0.304739i
\(603\) −461.715 + 461.715i −0.0311816 + 0.0311816i
\(604\) −10252.8 15525.2i −0.690693 1.04588i
\(605\) −555.959 14261.9i −0.0373602 0.958398i
\(606\) 13057.8 + 7024.94i 0.875308 + 0.470905i
\(607\) −617.817 617.817i −0.0413121 0.0413121i 0.686149 0.727461i \(-0.259300\pi\)
−0.727461 + 0.686149i \(0.759300\pi\)
\(608\) 24430.7 + 2739.75i 1.62960 + 0.182749i
\(609\) 3192.13i 0.212400i
\(610\) −6942.11 + 2383.95i −0.460784 + 0.158235i
\(611\) 1017.77i 0.0673891i
\(612\) 2981.03 + 609.719i 0.196897 + 0.0402719i
\(613\) 5656.87 + 5656.87i 0.372722 + 0.372722i 0.868468 0.495745i \(-0.165105\pi\)
−0.495745 + 0.868468i \(0.665105\pi\)
\(614\) −12987.6 + 24141.0i −0.853642 + 1.58673i
\(615\) 6415.60 + 5934.18i 0.420654 + 0.389088i
\(616\) 4179.17 377.453i 0.273350 0.0246884i
\(617\) 12811.8 12811.8i 0.835953 0.835953i −0.152370 0.988323i \(-0.548691\pi\)
0.988323 + 0.152370i \(0.0486907\pi\)
\(618\) 4041.50 1214.07i 0.263063 0.0790243i
\(619\) 12163.2 0.789788 0.394894 0.918727i \(-0.370781\pi\)
0.394894 + 0.918727i \(0.370781\pi\)
\(620\) −13658.1 + 9804.55i −0.884713 + 0.635097i
\(621\) 14988.2 0.968530
\(622\) −29262.9 + 8790.56i −1.88639 + 0.566671i
\(623\) 18656.2 18656.2i 1.19975 1.19975i
\(624\) −352.980 + 826.794i −0.0226450 + 0.0530421i
\(625\) 15435.6 2425.29i 0.987880 0.155219i
\(626\) 4962.20 9223.62i 0.316820 0.588898i
\(627\) 2622.68 + 2622.68i 0.167049 + 0.167049i
\(628\) −368.372 + 1801.04i −0.0234071 + 0.114441i
\(629\) 10145.8i 0.643149i
\(630\) 4639.83 9493.13i 0.293421 0.600342i
\(631\) 3347.17i 0.211171i −0.994410 0.105585i \(-0.966328\pi\)
0.994410 0.105585i \(-0.0336716\pi\)
\(632\) 17424.9 + 14538.1i 1.09672 + 0.915023i
\(633\) −522.588 522.588i −0.0328136 0.0328136i
\(634\) −12866.7 6922.14i −0.805998 0.433617i
\(635\) −6650.70 + 7190.25i −0.415630 + 0.449349i
\(636\) 2606.87 1721.56i 0.162530 0.107334i
\(637\) 775.600 775.600i 0.0482424 0.0482424i
\(638\) −205.804 685.099i −0.0127709 0.0425131i
\(639\) 8167.95 0.505664
\(640\) −7917.19 14123.1i −0.488991 0.872289i
\(641\) −24791.3 −1.52761 −0.763803 0.645449i \(-0.776670\pi\)
−0.763803 + 0.645449i \(0.776670\pi\)
\(642\) 1978.48 + 6586.17i 0.121627 + 0.404884i
\(643\) −12922.9 + 12922.9i −0.792583 + 0.792583i −0.981913 0.189330i \(-0.939368\pi\)
0.189330 + 0.981913i \(0.439368\pi\)
\(644\) −16862.9 + 11136.2i −1.03182 + 0.681408i
\(645\) 2733.89 106.572i 0.166894 0.00650587i
\(646\) −9681.12 5208.33i −0.589626 0.317212i
\(647\) 16924.5 + 16924.5i 1.02840 + 1.02840i 0.999585 + 0.0288113i \(0.00917218\pi\)
0.0288113 + 0.999585i \(0.490828\pi\)
\(648\) 3362.88 + 2805.74i 0.203868 + 0.170092i
\(649\) 745.493i 0.0450896i
\(650\) 541.575 1227.05i 0.0326805 0.0740441i
\(651\) 17499.4i 1.05354i
\(652\) −2113.93 + 10335.4i −0.126975 + 0.620806i
\(653\) 10391.0 + 10391.0i 0.622715 + 0.622715i 0.946225 0.323510i \(-0.104863\pi\)
−0.323510 + 0.946225i \(0.604863\pi\)
\(654\) 3167.44 5887.57i 0.189384 0.352022i
\(655\) 18099.8 705.565i 1.07972 0.0420896i
\(656\) −5304.85 + 12425.7i −0.315731 + 0.739545i
\(657\) 497.543 497.543i 0.0295449 0.0295449i
\(658\) −18272.0 + 5488.91i −1.08255 + 0.325197i
\(659\) −773.045 −0.0456958 −0.0228479 0.999739i \(-0.507273\pi\)
−0.0228479 + 0.999739i \(0.507273\pi\)
\(660\) 395.899 2410.47i 0.0233490 0.142163i
\(661\) 17856.3 1.05073 0.525364 0.850878i \(-0.323929\pi\)
0.525364 + 0.850878i \(0.323929\pi\)
\(662\) 21237.1 6379.62i 1.24683 0.374549i
\(663\) 284.260 284.260i 0.0166512 0.0166512i
\(664\) 13487.2 1218.13i 0.788259 0.0711938i
\(665\) −25922.1 + 28025.1i −1.51161 + 1.63424i
\(666\) 6313.51 11735.4i 0.367333 0.682790i
\(667\) 2435.98 + 2435.98i 0.141411 + 0.141411i
\(668\) −10823.3 2213.73i −0.626896 0.128221i
\(669\) 17490.9i 1.01082i
\(670\) −1395.90 682.254i −0.0804900 0.0393400i
\(671\) 1712.04i 0.0984985i
\(672\) −16747.0 1878.07i −0.961353 0.107810i
\(673\) −19931.6 19931.6i −1.14161 1.14161i −0.988155 0.153459i \(-0.950959\pi\)
−0.153459 0.988155i \(-0.549041\pi\)
\(674\) 15863.0 + 8534.10i 0.906557 + 0.487717i
\(675\) −14172.4 12119.5i −0.808143 0.691080i
\(676\) 9622.18 + 14570.4i 0.547462 + 0.828992i
\(677\) −5515.73 + 5515.73i −0.313126 + 0.313126i −0.846120 0.532993i \(-0.821067\pi\)
0.532993 + 0.846120i \(0.321067\pi\)
\(678\) −4268.92 14210.8i −0.241810 0.804958i
\(679\) −19077.0 −1.07822
\(680\) 931.641 + 7179.92i 0.0525394 + 0.404908i
\(681\) 4316.48 0.242890
\(682\) −1128.22 3755.74i −0.0633460 0.210872i
\(683\) 19946.1 19946.1i 1.11745 1.11745i 0.125331 0.992115i \(-0.460001\pi\)
0.992115 0.125331i \(-0.0399992\pi\)
\(684\) 7956.88 + 12048.7i 0.444794 + 0.673527i
\(685\) −9576.95 8858.31i −0.534185 0.494100i
\(686\) −3373.39 1814.85i −0.187750 0.101007i
\(687\) −11814.0 11814.0i −0.656089 0.656089i
\(688\) 1576.35 + 3925.04i 0.0873515 + 0.217501i
\(689\) 400.090i 0.0221222i
\(690\) 3820.79 + 11126.2i 0.210804 + 0.613867i
\(691\) 356.654i 0.0196350i 0.999952 + 0.00981748i \(0.00312505\pi\)
−0.999952 + 0.00981748i \(0.996875\pi\)
\(692\) −8442.84 1726.84i −0.463798 0.0948621i
\(693\) 1742.71 + 1742.71i 0.0955267 + 0.0955267i
\(694\) 16030.3 29796.7i 0.876802 1.62978i
\(695\) −550.564 14123.6i −0.0300490 0.770845i
\(696\) 258.416 + 2861.19i 0.0140736 + 0.155823i
\(697\) 4272.07 4272.07i 0.232161 0.232161i
\(698\) −14940.4 + 4488.09i −0.810175 + 0.243377i
\(699\) −1532.05 −0.0829003
\(700\) 24949.8 + 3105.32i 1.34716 + 0.167671i
\(701\) 17230.0 0.928343 0.464172 0.885745i \(-0.346352\pi\)
0.464172 + 0.885745i \(0.346352\pi\)
\(702\) −1533.04 + 460.526i −0.0824231 + 0.0247599i
\(703\) −34044.1 + 34044.1i −1.82646 + 1.82646i
\(704\) 3715.35 676.643i 0.198903 0.0362243i
\(705\) 432.621 + 11098.0i 0.0231113 + 0.592871i
\(706\) −1443.02 + 2682.26i −0.0769248 + 0.142986i
\(707\) −25170.5 25170.5i −1.33895 1.33895i
\(708\) 599.935 2933.19i 0.0318460 0.155701i
\(709\) 8153.11i 0.431871i 0.976408 + 0.215935i \(0.0692801\pi\)
−0.976408 + 0.215935i \(0.930720\pi\)
\(710\) 6312.35 + 18381.7i 0.333659 + 0.971625i
\(711\) 13328.5i 0.703036i
\(712\) 15211.8 18232.4i 0.800681 0.959672i
\(713\) 13354.1 + 13354.1i 0.701425 + 0.701425i
\(714\) 6636.31 + 3570.26i 0.347840 + 0.187134i
\(715\) 229.661 + 212.427i 0.0120124 + 0.0111110i
\(716\) 26724.8 17648.9i 1.39491 0.921189i
\(717\) 7658.81 7658.81i 0.398917 0.398917i
\(718\) −2900.74 9656.25i −0.150772 0.501905i
\(719\) −17219.3 −0.893147 −0.446573 0.894747i \(-0.647356\pi\)
−0.446573 + 0.894747i \(0.647356\pi\)
\(720\) 3390.29 8884.56i 0.175484 0.459872i
\(721\) −10130.8 −0.523287
\(722\) −9426.94 31381.3i −0.485920 1.61758i
\(723\) 11152.0 11152.0i 0.573649 0.573649i
\(724\) 13017.5 8596.70i 0.668221 0.441290i
\(725\) −333.656 4273.12i −0.0170920 0.218896i
\(726\) −11773.9 6334.22i −0.601888 0.323809i
\(727\) 8881.73 + 8881.73i 0.453102 + 0.453102i 0.896383 0.443281i \(-0.146186\pi\)
−0.443281 + 0.896383i \(0.646186\pi\)
\(728\) 1382.62 1657.17i 0.0703893 0.0843665i
\(729\) 17486.6i 0.888409i
\(730\) 1504.22 + 735.195i 0.0762652 + 0.0372751i
\(731\) 1891.43i 0.0957004i
\(732\) −1377.76 + 6736.12i −0.0695676 + 0.340129i
\(733\) 4401.20 + 4401.20i 0.221776 + 0.221776i 0.809246 0.587470i \(-0.199876\pi\)
−0.587470 + 0.809246i \(0.699876\pi\)
\(734\) 8353.30 15526.9i 0.420062 0.780802i
\(735\) 8127.59 8786.95i 0.407878 0.440968i
\(736\) −14213.2 + 11346.8i −0.711826 + 0.568271i
\(737\) 256.253 256.253i 0.0128076 0.0128076i
\(738\) −7599.79 + 2282.98i −0.379068 + 0.113872i
\(739\) −23097.8 −1.14975 −0.574875 0.818241i \(-0.694949\pi\)
−0.574875 + 0.818241i \(0.694949\pi\)
\(740\) 31289.4 + 5139.03i 1.55435 + 0.255290i
\(741\) 1907.65 0.0945741
\(742\) −7182.77 + 2157.70i −0.355374 + 0.106754i
\(743\) 17404.1 17404.1i 0.859348 0.859348i −0.131913 0.991261i \(-0.542112\pi\)
0.991261 + 0.131913i \(0.0421119\pi\)
\(744\) 1416.65 + 15685.1i 0.0698075 + 0.772911i
\(745\) 15098.7 588.577i 0.742515 0.0289447i
\(746\) −15864.3 + 29488.2i −0.778597 + 1.44724i
\(747\) 5624.13 + 5624.13i 0.275470 + 0.275470i
\(748\) −1654.48 338.395i −0.0808739 0.0165414i
\(749\) 16509.4i 0.805396i
\(750\) 5383.85 13610.1i 0.262120 0.662628i
\(751\) 2347.75i 0.114075i −0.998372 0.0570377i \(-0.981834\pi\)
0.998372 0.0570377i \(-0.0181655\pi\)
\(752\) −15933.3 + 6399.05i −0.772644 + 0.310305i
\(753\) −13794.7 13794.7i −0.667604 0.667604i
\(754\) −324.007 174.312i −0.0156494 0.00841919i
\(755\) 25981.7 1012.82i 1.25241 0.0488215i
\(756\) −16535.6 25038.9i −0.795493 1.20457i
\(757\) −7078.12 + 7078.12i −0.339840 + 0.339840i −0.856307 0.516467i \(-0.827247\pi\)
0.516467 + 0.856307i \(0.327247\pi\)
\(758\) 9056.95 + 30149.6i 0.433989 + 1.44470i
\(759\) −2743.91 −0.131222
\(760\) −20966.0 + 27218.2i −1.00068 + 1.29909i
\(761\) −27017.6 −1.28697 −0.643486 0.765458i \(-0.722513\pi\)
−0.643486 + 0.765458i \(0.722513\pi\)
\(762\) 2639.56 + 8786.80i 0.125487 + 0.417732i
\(763\) −11349.0 + 11349.0i −0.538483 + 0.538483i
\(764\) −6431.22 9738.45i −0.304546 0.461158i
\(765\) −2887.47 + 3121.72i −0.136466 + 0.147537i
\(766\) −3545.90 1907.65i −0.167257 0.0899821i
\(767\) 271.124 + 271.124i 0.0127636 + 0.0127636i
\(768\) −15162.8 327.626i −0.712423 0.0153935i
\(769\) 41584.0i 1.95001i 0.222183 + 0.975005i \(0.428682\pi\)
−0.222183 + 0.975005i \(0.571318\pi\)
\(770\) −2575.11 + 5268.71i −0.120520 + 0.246586i
\(771\) 29507.7i