Properties

Label 20.4.e.b.3.6
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 3.6
Root \(1.76129 + 0.947553i\)
Character \(\chi\) = 20.3
Dual form 20.4.e.b.7.6

$q$-expansion

\(f(q)\) \(=\) \(q+(2.70884 + 0.813737i) q^{2} +(-2.61822 + 2.61822i) q^{3} +(6.67566 + 4.40857i) q^{4} +(-0.435501 - 11.1719i) q^{5} +(-9.22289 + 4.96181i) q^{6} +(-17.7783 - 17.7783i) q^{7} +(14.4959 + 17.3744i) q^{8} +13.2899i q^{9} +O(q^{10})\) \(q+(2.70884 + 0.813737i) 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} +(14.4959 + 17.3744i) q^{8} +13.2899i q^{9} +(7.91125 - 30.6172i) q^{10} +7.37590i q^{11} +(-29.0210 + 5.93575i) 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} +(-10.8144 + 36.0001i) q^{18} +135.808 q^{19} +(46.3447 - 76.4995i) q^{20} +93.0948 q^{21} +(-6.00204 + 19.9802i) 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} +(-40.3050 - 197.059i) q^{28} +34.2890i q^{29} +(59.4491 + 100.876i) q^{30} -187.974i q^{31} +(20.1737 + 179.892i) 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} +(367.882 + 110.512i) q^{38} +14.0467 q^{39} +(187.791 - 169.513i) q^{40} -211.105 q^{41} +(252.179 + 75.7547i) 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} +(-219.902 - 88.3159i) q^{48} +289.134i q^{49} +(-345.496 - 75.0495i) q^{50} -105.968i q^{51} +(-6.08147 - 29.7334i) 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} +(-27.9022 + 92.8835i) q^{58} +101.072 q^{59} +(78.9520 + 321.633i) q^{60} +232.112 q^{61} +(152.961 - 509.191i) 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} +(-224.309 + 45.8785i) q^{68} -372.010i q^{69} +(-684.969 + 403.672i) q^{70} +614.600i q^{71} +(-230.903 + 192.649i) 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} +(38.0504 + 11.4303i) q^{78} -1002.91 q^{79} +(646.635 - 306.371i) q^{80} +193.554 q^{81} +(-571.850 - 171.784i) 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} +(-128.152 + 106.920i) q^{88} -1049.38i q^{89} +(406.898 + 105.139i) q^{90} +95.3802i q^{91} +(-787.453 + 161.060i) 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} +(-235.279 + 783.218i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.70884 + 0.813737i 0.957721 + 0.287699i
\(3\) −2.61822 + 2.61822i −0.503877 + 0.503877i −0.912640 0.408764i \(-0.865960\pi\)
0.408764 + 0.912640i \(0.365960\pi\)
\(4\) 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 0.0392914 0.999228i \(-0.487490\pi\)
−0.999228 + 0.0392914i \(0.987490\pi\)
\(8\) 14.4959 + 17.3744i 0.640635 + 0.767846i
\(9\) 13.2899i 0.492217i
\(10\) 7.91125 30.6172i 0.250176 0.968200i
\(11\) 7.37590i 0.202174i 0.994878 + 0.101087i \(0.0322321\pi\)
−0.994878 + 0.101087i \(0.967768\pi\)
\(12\) −29.0210 + 5.93575i −0.698136 + 0.142792i
\(13\) −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 \(0.315443\pi\)
\(18\) −10.8144 + 36.0001i −0.141610 + 0.471406i
\(19\) 135.808 1.63981 0.819906 0.572498i \(-0.194025\pi\)
0.819906 + 0.572498i \(0.194025\pi\)
\(20\) 46.3447 76.4995i 0.518149 0.855290i
\(21\) 93.0948 0.967379
\(22\) −6.00204 + 19.9802i −0.0581654 + 0.193627i
\(23\) −71.0426 + 71.0426i −0.644061 + 0.644061i −0.951551 0.307490i \(-0.900511\pi\)
0.307490 + 0.951551i \(0.400511\pi\)
\(24\) −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
\(28\) −40.3050 197.059i −0.272033 1.33002i
\(29\) 34.2890i 0.219562i 0.993956 + 0.109781i \(0.0350150\pi\)
−0.993956 + 0.109781i \(0.964985\pi\)
\(30\) 59.4491 + 100.876i 0.361796 + 0.613911i
\(31\) 187.974i 1.08907i −0.838739 0.544533i \(-0.816707\pi\)
0.838739 0.544533i \(-0.183293\pi\)
\(32\) 20.1737 + 179.892i 0.111445 + 0.993771i
\(33\) −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 \(-0.0386712\pi\)
\(38\) 367.882 + 110.512i 1.57048 + 0.471773i
\(39\) 14.0467 0.0576737
\(40\) 187.791 169.513i 0.742309 0.670058i
\(41\) −211.105 −0.804122 −0.402061 0.915613i \(-0.631706\pi\)
−0.402061 + 0.915613i \(0.631706\pi\)
\(42\) 252.179 + 75.7547i 0.926479 + 0.278314i
\(43\) 46.7326 46.7326i 0.165736 0.165736i −0.619366 0.785102i \(-0.712610\pi\)
0.785102 + 0.619366i \(0.212610\pi\)
\(44\) −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 0.937295 0.348538i \(-0.113322\pi\)
−0.348538 + 0.937295i \(0.613322\pi\)
\(48\) −219.902 88.3159i −0.661254 0.265569i
\(49\) 289.134i 0.842956i
\(50\) −345.496 75.0495i −0.977211 0.212272i
\(51\) 105.968i 0.290952i
\(52\) −6.08147 29.7334i −0.0162182 0.0792939i
\(53\) −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
\(58\) −27.9022 + 92.8835i −0.0631679 + 0.210279i
\(59\) 101.072 0.223024 0.111512 0.993763i \(-0.464431\pi\)
0.111512 + 0.993763i \(0.464431\pi\)
\(60\) 78.9520 + 321.633i 0.169878 + 0.692044i
\(61\) 232.112 0.487196 0.243598 0.969876i \(-0.421672\pi\)
0.243598 + 0.969876i \(0.421672\pi\)
\(62\) 152.961 509.191i 0.313324 1.04302i
\(63\) 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 0.674722 0.738072i \(-0.264263\pi\)
−0.738072 + 0.674722i \(0.764263\pi\)
\(68\) −224.309 + 45.8785i −0.400021 + 0.0818175i
\(69\) 372.010i 0.649054i
\(70\) −684.969 + 403.672i −1.16956 + 0.689258i
\(71\) 614.600i 1.02732i 0.857994 + 0.513660i \(0.171711\pi\)
−0.857994 + 0.513660i \(0.828289\pi\)
\(72\) −230.903 + 192.649i −0.377946 + 0.315331i
\(73\) −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
\(78\) 38.0504 + 11.4303i 0.0552353 + 0.0165927i
\(79\) −1002.91 −1.42831 −0.714153 0.699990i \(-0.753188\pi\)
−0.714153 + 0.699990i \(0.753188\pi\)
\(80\) 646.635 306.371i 0.903700 0.428167i
\(81\) 193.554 0.265506
\(82\) −571.850 171.784i −0.770125 0.231346i
\(83\) −423.190 + 423.190i −0.559652 + 0.559652i −0.929208 0.369556i \(-0.879510\pi\)
0.369556 + 0.929208i \(0.379510\pi\)
\(84\) 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
\(88\) −128.152 + 106.920i −0.155239 + 0.129520i
\(89\) 1049.38i 1.24982i −0.780695 0.624912i \(-0.785135\pi\)
0.780695 0.624912i \(-0.214865\pi\)
\(90\) 406.898 + 105.139i 0.476564 + 0.123141i
\(91\) 95.3802i 0.109874i
\(92\) −787.453 + 161.060i −0.892365 + 0.182518i
\(93\) 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 \(0.379989\pi\)
\(98\) −235.279 + 783.218i −0.242518 + 0.807316i
\(99\) −98.0246 −0.0995136
\(100\) −874.824 484.440i −0.874824 0.484440i
\(101\) −1415.80 −1.39483 −0.697414 0.716668i \(-0.745666\pi\)
−0.697414 + 0.716668i \(0.745666\pi\)
\(102\) 86.2303 287.052i 0.0837066 0.278650i
\(103\) 284.920 284.920i 0.272563 0.272563i −0.557568 0.830131i \(-0.688265\pi\)
0.830131 + 0.557568i \(0.188265\pi\)
\(104\) 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 0.885033 0.465528i \(-0.154136\pi\)
−0.465528 + 0.885033i \(0.654136\pi\)
\(108\) −239.150 1169.25i −0.213076 1.04177i
\(109\) 638.365i 0.560957i 0.959860 + 0.280478i \(0.0904931\pi\)
−0.959860 + 0.280478i \(0.909507\pi\)
\(110\) 225.829 + 58.3525i 0.195745 + 0.0505791i
\(111\) 1312.66i 1.12246i
\(112\) 599.684 1493.18i 0.505936 1.25976i
\(113\) 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
\(118\) 273.787 + 82.2456i 0.213594 + 0.0641638i
\(119\) 719.548 0.554293
\(120\) −47.8561 + 935.500i −0.0364053 + 0.711659i
\(121\) 1276.60 0.959126
\(122\) 628.756 + 188.878i 0.466598 + 0.140166i
\(123\) 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 0.889586 0.456768i \(-0.150993\pi\)
−0.456768 + 0.889586i \(0.650993\pi\)
\(128\) −658.392 + 1289.83i −0.454642 + 0.890674i
\(129\) 244.712i 0.167021i
\(130\) −103.352 + 60.9086i −0.0697277 + 0.0410926i
\(131\) 1620.12i 1.08054i −0.841491 0.540270i \(-0.818322\pi\)
0.841491 0.540270i \(-0.181678\pi\)
\(132\) −43.7815 214.056i −0.0288689 0.141145i
\(133\) −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 \(0.131469\pi\)
\(138\) 302.718 1007.72i 0.186733 0.621613i
\(139\) −1264.21 −0.771430 −0.385715 0.922618i \(-0.626045\pi\)
−0.385715 + 0.922618i \(0.626045\pi\)
\(140\) −2183.96 + 536.101i −1.31841 + 0.323634i
\(141\) −993.387 −0.593321
\(142\) −500.123 + 1664.86i −0.295559 + 0.983885i
\(143\) 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
\(148\) 2778.58 568.312i 1.54323 0.315642i
\(149\) 1351.49i 0.743079i 0.928417 + 0.371539i \(0.121170\pi\)
−0.928417 + 0.371539i \(0.878830\pi\)
\(150\) 1101.08 708.089i 0.599352 0.385435i
\(151\) 2325.64i 1.25336i −0.779275 0.626682i \(-0.784412\pi\)
0.779275 0.626682i \(-0.215588\pi\)
\(152\) 1968.66 + 2359.57i 1.05052 + 1.25912i
\(153\) −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 \(0.231398\pi\)
\(158\) −2716.73 816.105i −1.36792 0.410923i
\(159\) 390.503 0.194773
\(160\) 2000.94 303.721i 0.988675 0.150070i
\(161\) 2526.03 1.23651
\(162\) 524.307 + 157.502i 0.254281 + 0.0763859i
\(163\) −932.441 + 932.441i −0.448064 + 0.448064i −0.894710 0.446647i \(-0.852618\pi\)
0.446647 + 0.894710i \(0.352618\pi\)
\(164\) −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 0.443710 0.896170i \(-0.353662\pi\)
−0.896170 + 0.443710i \(0.853662\pi\)
\(168\) 1349.49 + 1617.46i 0.619737 + 0.742798i
\(169\) 2182.61i 0.993449i
\(170\) 459.494 + 779.689i 0.207303 + 0.351761i
\(171\) 1804.87i 0.807143i
\(172\) 517.995 105.947i 0.229632 0.0469674i
\(173\) 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
\(178\) 853.921 2842.61i 0.359574 1.19698i
\(179\) 4003.32 1.67163 0.835816 0.549009i \(-0.184995\pi\)
0.835816 + 0.549009i \(0.184995\pi\)
\(180\) 1016.67 + 615.914i 0.420988 + 0.255042i
\(181\) −1950.00 −0.800785 −0.400392 0.916344i \(-0.631126\pi\)
−0.400392 + 0.916344i \(0.631126\pi\)
\(182\) −77.6144 + 258.370i −0.0316108 + 0.105229i
\(183\) −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
\(188\) 430.083 + 2102.75i 0.166846 + 0.815740i
\(189\) 3750.78i 1.44354i
\(190\) 1074.41 4158.05i 0.410241 1.58767i
\(191\) 1458.80i 0.552644i −0.961065 0.276322i \(-0.910884\pi\)
0.961065 0.276322i \(-0.0891156\pi\)
\(192\) −1078.65 1559.02i −0.405441 0.586004i
\(193\) 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 \(0.0702474\pi\)
\(198\) −265.533 79.7662i −0.0953062 0.0286300i
\(199\) 2087.70 0.743683 0.371842 0.928296i \(-0.378726\pi\)
0.371842 + 0.928296i \(0.378726\pi\)
\(200\) −1975.56 2024.15i −0.698464 0.715645i
\(201\) 181.924 0.0638405
\(202\) −3835.19 1152.09i −1.33586 0.401291i
\(203\) 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
\(208\) 90.4840 225.301i 0.0301632 0.0751048i
\(209\) 1001.70i 0.331528i
\(210\) 736.496 2850.30i 0.242015 0.936617i
\(211\) 199.597i 0.0651223i 0.999470 + 0.0325611i \(0.0103664\pi\)
−0.999470 + 0.0325611i \(0.989634\pi\)
\(212\) −169.067 826.598i −0.0547714 0.267788i
\(213\) −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
\(218\) −519.461 + 1729.23i −0.161387 + 0.537240i
\(219\) 196.041 0.0604896
\(220\) 564.252 + 341.834i 0.172918 + 0.104756i
\(221\) 108.570 0.0330461
\(222\) −1068.16 + 3555.80i −0.322930 + 1.07500i
\(223\) −3340.24 + 3340.24i −1.00304 + 1.00304i −0.00304854 + 0.999995i \(0.500970\pi\)
−0.999995 + 0.00304854i \(0.999030\pi\)
\(224\) 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 0.576251 0.817272i \(-0.304515\pi\)
−0.817272 + 0.576251i \(0.804515\pi\)
\(228\) −3941.27 + 806.121i −1.14481 + 0.234152i
\(229\) 4512.23i 1.30208i −0.759043 0.651041i \(-0.774333\pi\)
0.759043 0.651041i \(-0.225667\pi\)
\(230\) 1613.09 + 2737.16i 0.462452 + 0.784708i
\(231\) 686.658i 0.195579i
\(232\) −595.749 + 497.050i −0.168590 + 0.140659i
\(233\) −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
\(238\) 1949.14 + 585.522i 0.530858 + 0.159470i
\(239\) −2925.20 −0.791696 −0.395848 0.918316i \(-0.629549\pi\)
−0.395848 + 0.918316i \(0.629549\pi\)
\(240\) −890.885 + 2495.18i −0.239610 + 0.671096i
\(241\) 4259.40 1.13847 0.569236 0.822174i \(-0.307239\pi\)
0.569236 + 0.822174i \(0.307239\pi\)
\(242\) 3458.10 + 1038.81i 0.918574 + 0.275940i
\(243\) 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
\(248\) 3265.92 2724.85i 0.836235 0.697694i
\(249\) 2216.01i 0.563991i
\(250\) −687.978 + 3892.52i −0.174046 + 0.984737i
\(251\) 5268.72i 1.32493i 0.749091 + 0.662467i \(0.230491\pi\)
−0.749091 + 0.662467i \(0.769509\pi\)
\(252\) 2618.88 535.647i 0.654658 0.133899i
\(253\) −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 \(0.831839\pi\)
\(258\) −199.132 + 662.888i −0.0480519 + 0.159960i
\(259\) −8913.27 −2.13839
\(260\) −329.529 + 80.8902i −0.0786020 + 0.0192946i
\(261\) −455.696 −0.108072
\(262\) 1318.35 4388.66i 0.310871 1.03486i
\(263\) 2721.99 2721.99i 0.638195 0.638195i −0.311915 0.950110i \(-0.600970\pi\)
0.950110 + 0.311915i \(0.100970\pi\)
\(264\) 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
\(268\) −78.7632 385.088i −0.0179523 0.0877723i
\(269\) 603.964i 0.136893i 0.997655 + 0.0684467i \(0.0218043\pi\)
−0.997655 + 0.0684467i \(0.978196\pi\)
\(270\) −4064.28 + 2395.20i −0.916089 + 0.539878i
\(271\) 4232.24i 0.948672i −0.880344 0.474336i \(-0.842688\pi\)
0.880344 0.474336i \(-0.157312\pi\)
\(272\) −1699.67 682.611i −0.378888 0.152167i
\(273\) −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 \(0.0859113\pi\)
\(278\) −3424.54 1028.73i −0.738815 0.221940i
\(279\) 2498.14 0.536056
\(280\) −6352.24 324.953i −1.35578 0.0693559i
\(281\) −7574.78 −1.60809 −0.804046 0.594567i \(-0.797323\pi\)
−0.804046 + 0.594567i \(0.797323\pi\)
\(282\) −2690.93 808.356i −0.568236 0.170698i
\(283\) 504.094 504.094i 0.105884 0.105884i −0.652180 0.758064i \(-0.726145\pi\)
0.758064 + 0.652180i \(0.226145\pi\)
\(284\) −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
\(288\) −2390.73 + 268.106i −0.489150 + 0.0548552i
\(289\) 4093.95i 0.833289i
\(290\) 1049.83 + 271.269i 0.212580 + 0.0549291i
\(291\) 2809.49i 0.565962i
\(292\) −84.8750 414.970i −0.0170101 0.0831653i
\(293\) −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
\(298\) −1099.76 + 3660.99i −0.213783 + 0.711662i
\(299\) 381.143 0.0737192
\(300\) 3558.85 1022.11i 0.684902 0.196705i
\(301\) −1661.65 −0.318192
\(302\) 1892.46 6299.80i 0.360592 1.20037i
\(303\) 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 \(0.107086\pi\)
0.330110 + 0.943942i \(0.392914\pi\)
\(308\) 1453.48 297.286i 0.268896 0.0549981i
\(309\) 1491.97i 0.274676i
\(310\) −5755.22 1487.11i −1.05443 0.272458i
\(311\) 10802.7i 1.96966i 0.173510 + 0.984832i \(0.444489\pi\)
−0.173510 + 0.984832i \(0.555511\pi\)
\(312\) 203.620 + 244.053i 0.0369478 + 0.0442845i
\(313\) 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 \(0.0987027\pi\)
\(318\) 1057.81 + 317.767i 0.186538 + 0.0560361i
\(319\) −252.912 −0.0443898
\(320\) 5667.38 + 805.504i 0.990050 + 0.140716i
\(321\) −2431.36 −0.422757
\(322\) 6842.61 + 2055.52i 1.18424 + 0.355745i
\(323\) −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
\(328\) −3060.16 3667.81i −0.515149 0.617442i
\(329\) 6745.31i 1.13034i
\(330\) −744.050 + 438.491i −0.124117 + 0.0731458i
\(331\) 7839.91i 1.30187i −0.759131 0.650937i \(-0.774376\pi\)
0.759131 0.650937i \(-0.225624\pi\)
\(332\) −4690.74 + 959.411i −0.775415 + 0.158598i
\(333\) 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 \(0.422101\pi\)
\(338\) 1776.07 5912.34i 0.285815 0.951447i
\(339\) −5246.07 −0.840494
\(340\) 610.235 + 2485.96i 0.0973371 + 0.396530i
\(341\) 1386.47 0.220181
\(342\) −1468.69 + 4889.10i −0.232215 + 0.773018i
\(343\) −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 \(-0.873786\pi\)
−0.386205 0.922413i \(1.37379\pi\)
\(348\) −203.531 995.100i −0.0313517 0.153284i
\(349\) 5515.41i 0.845941i −0.906144 0.422970i \(-0.860987\pi\)
0.906144 0.422970i \(-0.139013\pi\)
\(350\) 4808.07 + 7476.57i 0.734292 + 1.14183i
\(351\) 565.940i 0.0860617i
\(352\) −1326.86 + 148.799i −0.200915 + 0.0225314i
\(353\) −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
\(358\) 10844.4 + 3257.65i 1.60096 + 0.480928i
\(359\) −3564.71 −0.524062 −0.262031 0.965059i \(-0.584392\pi\)
−0.262031 + 0.965059i \(0.584392\pi\)
\(360\) 2252.80 + 2495.71i 0.329814 + 0.365377i
\(361\) 11584.8 1.68899
\(362\) −5282.23 1586.78i −0.766928 0.230385i
\(363\) −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 0.320358 0.947297i \(-0.396197\pi\)
−0.947297 + 0.320358i \(0.896197\pi\)
\(368\) −5966.81 2396.36i −0.845222 0.339453i
\(369\) 2805.55i 0.395802i
\(370\) −5691.90 9658.26i −0.799750 1.35705i
\(371\) 2651.60i 0.371063i
\(372\) 1115.76 + 5455.17i 0.155510 + 0.760316i
\(373\) −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
\(378\) −3052.15 + 10160.3i −0.415305 + 1.38251i
\(379\) 11130.1 1.50848 0.754240 0.656599i \(-0.228006\pi\)
0.754240 + 0.656599i \(0.228006\pi\)
\(380\) 6293.97 10389.2i 0.849667 1.40252i
\(381\) −3243.75 −0.436174
\(382\) 1187.08 3951.66i 0.158995 0.529279i
\(383\) −1006.62 + 1006.62i −0.134297 + 0.134297i −0.771060 0.636763i \(-0.780273\pi\)
0.636763 + 0.771060i \(0.280273\pi\)
\(384\) −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
\(388\) −5946.98 + 1216.35i −0.778124 + 0.159152i
\(389\) 13548.4i 1.76589i 0.469478 + 0.882944i \(0.344442\pi\)
−0.469478 + 0.882944i \(0.655558\pi\)
\(390\) 111.127 430.071i 0.0144286 0.0558397i
\(391\) 2875.34i 0.371898i
\(392\) −5023.52 + 4191.26i −0.647260 + 0.540027i
\(393\) 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 \(0.197901\pi\)
\(398\) 5655.25 + 1698.84i 0.712241 + 0.213957i
\(399\) 12643.0 1.58632
\(400\) −3704.34 7090.69i −0.463043 0.886336i
\(401\) 5922.04 0.737488 0.368744 0.929531i \(-0.379788\pi\)
0.368744 + 0.929531i \(0.379788\pi\)
\(402\) 492.804 + 148.038i 0.0611413 + 0.0183669i
\(403\) −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
\(408\) 1841.13 1536.11i 0.223406 0.186394i
\(409\) 8533.05i 1.03162i 0.856703 + 0.515809i \(0.172509\pi\)
−0.856703 + 0.515809i \(0.827491\pi\)
\(410\) −1670.10 + 6463.43i −0.201172 + 0.778552i
\(411\) 4320.46i 0.518522i
\(412\) 3158.12 645.940i 0.377644 0.0772408i
\(413\) −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
\(418\) −815.124 + 2713.46i −0.0953804 + 0.317511i
\(419\) 7128.02 0.831089 0.415545 0.909573i \(-0.363591\pi\)
0.415545 + 0.909573i \(0.363591\pi\)
\(420\) 4314.45 7121.71i 0.501247 0.827390i
\(421\) −611.239 −0.0707601 −0.0353800 0.999374i \(-0.511264\pi\)
−0.0353800 + 0.999374i \(0.511264\pi\)
\(422\) −162.419 + 540.676i −0.0187356 + 0.0623690i
\(423\) −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
\(428\) 1052.65 + 5146.58i 0.118882 + 0.581236i
\(429\) 103.607i 0.0116601i
\(430\) −1061.11 1800.53i −0.119003 0.201929i
\(431\) 9361.72i 1.04626i −0.852253 0.523130i \(-0.824764\pi\)
0.852253 0.523130i \(-0.175236\pi\)
\(432\) 3558.24 8859.84i 0.396286 0.986734i
\(433\) −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
\(438\) 531.044 + 159.526i 0.0579321 + 0.0174028i
\(439\) −7823.34 −0.850541 −0.425271 0.905066i \(-0.639821\pi\)
−0.425271 + 0.905066i \(0.639821\pi\)
\(440\) 1250.31 + 1385.13i 0.135469 + 0.150076i
\(441\) −3842.54 −0.414917
\(442\) 294.099 + 88.3472i 0.0316490 + 0.00950735i
\(443\) 9066.48 9066.48i 0.972374 0.972374i −0.0272545 0.999629i \(-0.508676\pi\)
0.999629 + 0.0272545i \(0.00867646\pi\)
\(444\) −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
\(448\) 10586.1 7324.25i 1.11640 0.772407i
\(449\) 3381.93i 0.355464i −0.984079 0.177732i \(-0.943124\pi\)
0.984079 0.177732i \(-0.0568759\pi\)
\(450\) 997.396 4591.59i 0.104484 0.480999i
\(451\) 1557.09i 0.162573i
\(452\) 2271.26 + 11104.6i 0.236352 + 1.15557i
\(453\) 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 \(-0.0174330\pi\)
\(458\) 3671.77 12222.9i 0.374608 1.24703i
\(459\) 4269.45 0.434163
\(460\) 2142.28 + 8727.16i 0.217140 + 0.884579i
\(461\) −5310.20 −0.536488 −0.268244 0.963351i \(-0.586443\pi\)
−0.268244 + 0.963351i \(0.586443\pi\)
\(462\) −558.759 + 1860.05i −0.0562680 + 0.187310i
\(463\) −7686.78 + 7686.78i −0.771566 + 0.771566i −0.978380 0.206814i \(-0.933690\pi\)
0.206814 + 0.978380i \(0.433690\pi\)
\(464\) −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 0.445711 0.895177i \(-0.352951\pi\)
−0.895177 + 0.445711i \(0.852951\pi\)
\(468\) 395.153 80.8218i 0.0390298 0.00798288i
\(469\) 1235.30i 0.121623i
\(470\) 7309.10 4307.47i 0.717327 0.422742i
\(471\) 850.850i 0.0832380i
\(472\) 1465.12 + 1756.05i 0.142877 + 0.171248i
\(473\) 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
\(478\) −7923.91 2380.34i −0.758224 0.227771i
\(479\) −10969.6 −1.04638 −0.523189 0.852217i \(-0.675258\pi\)
−0.523189 + 0.852217i \(0.675258\pi\)
\(480\) −4443.69 + 6034.10i −0.422553 + 0.573787i
\(481\) −1344.89 −0.127488
\(482\) 11538.0 + 3466.03i 1.09034 + 0.327538i
\(483\) −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 \(0.0662547\pi\)
0.206646 + 0.978416i \(0.433745\pi\)
\(488\) 3364.68 + 4032.80i 0.312115 + 0.374091i
\(489\) 4882.67i 0.451538i
\(490\) 8852.46 + 2287.41i 0.816150 + 0.210887i
\(491\) 10518.6i 0.966796i −0.875401 0.483398i \(-0.839402\pi\)
0.875401 0.483398i \(-0.160598\pi\)
\(492\) 6126.46 1253.06i 0.561387 0.114822i
\(493\) −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
\(498\) 1803.25 6002.82i 0.162260 0.540146i
\(499\) 2445.26 0.219368 0.109684 0.993966i \(-0.465016\pi\)
0.109684 + 0.993966i \(0.465016\pi\)
\(500\) −5031.11 + 9984.38i −0.449996 + 0.893031i
\(501\) 5113.18 0.455968
\(502\) −4287.35 + 14272.1i −0.381183 + 1.26892i
\(503\) 12216.7 12216.7i 1.08293 1.08293i 0.0866986 0.996235i \(-0.472368\pi\)
0.996235 0.0866986i \(-0.0276317\pi\)
\(504\) 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
\(508\) 1404.37 + 6866.20i 0.122655 + 0.599682i
\(509\) 5615.75i 0.489025i −0.969646 0.244512i \(-0.921372\pi\)
0.969646 0.244512i \(-0.0786279\pi\)
\(510\) −3244.45 838.342i −0.281700 0.0727890i
\(511\) 1331.16i 0.115239i
\(512\) −10081.5 + 5707.93i −0.870205 + 0.492690i
\(513\) −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
\(518\) −24144.6 7253.05i −2.04798 0.615214i
\(519\) −3988.58 −0.337340
\(520\) −958.465 49.0309i −0.0808298 0.00413490i
\(521\) 5287.10 0.444591 0.222296 0.974979i \(-0.428645\pi\)
0.222296 + 0.974979i \(0.428645\pi\)
\(522\) −1234.41 370.816i −0.103503 0.0310923i
\(523\) −4328.34 + 4328.34i −0.361883 + 0.361883i −0.864506 0.502623i \(-0.832369\pi\)
0.502623 + 0.864506i \(0.332369\pi\)
\(524\) 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
\(528\) 651.409 1621.98i 0.0536912 0.133688i
\(529\) 2072.91i 0.170371i
\(530\) −2873.23 + 1693.28i −0.235481 + 0.138776i
\(531\) 1343.23i 0.109776i
\(532\) −5473.73 26762.1i −0.446083 2.18098i
\(533\) 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
\(538\) −491.468 + 1636.04i −0.0393841 + 0.131106i
\(539\) −2132.62 −0.170424
\(540\) −12958.5 + 3180.96i −1.03268 + 0.253494i
\(541\) −13608.6 −1.08148 −0.540739 0.841190i \(-0.681855\pi\)
−0.540739 + 0.841190i \(0.681855\pi\)
\(542\) 3443.93 11464.5i 0.272932 0.908563i
\(543\) 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 0.585335 0.810792i \(-0.300963\pi\)
−0.810792 + 0.585335i \(0.800963\pi\)
\(548\) 9145.34 1870.52i 0.712901 0.145812i
\(549\) 3084.74i 0.239806i
\(550\) 553.557 2548.34i 0.0429159 0.197567i
\(551\) 4656.71i 0.360041i
\(552\) 6463.44 5392.63i 0.498374 0.415807i
\(553\) 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 \(0.364405\pi\)
\(558\) 6767.07 + 2032.83i 0.513392 + 0.154223i
\(559\) −250.720 −0.0189702
\(560\) −16942.8 6049.30i −1.27851 0.456481i
\(561\) 781.612 0.0588229
\(562\) −20518.9 6163.88i −1.54010 0.462647i
\(563\) 6499.93 6499.93i 0.486571 0.486571i −0.420651 0.907222i \(-0.638198\pi\)
0.907222 + 0.420651i \(0.138198\pi\)
\(564\) −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
\(568\) −10678.3 + 8909.19i −0.788822 + 0.658136i
\(569\) 5264.67i 0.387885i 0.981013 + 0.193942i \(0.0621275\pi\)
−0.981013 + 0.193942i \(0.937872\pi\)
\(570\) 8073.66 + 13699.7i 0.593278 + 1.00670i
\(571\) 22034.0i 1.61488i 0.589952 + 0.807438i \(0.299147\pi\)
−0.589952 + 0.807438i \(0.700853\pi\)
\(572\) 219.311 44.8563i 0.0160312 0.00327891i
\(573\) 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 \(0.405674\pi\)
\(578\) −3331.40 + 11089.9i −0.239737 + 0.798059i
\(579\) −11859.0 −0.851196
\(580\) 2623.09 + 1589.11i 0.187789 + 0.113766i
\(581\) 15047.2 1.07446
\(582\) 2286.18 7610.46i 0.162827 0.542034i
\(583\) 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 0.898520 0.438933i \(-0.144643\pi\)
−0.438933 + 0.898520i \(0.644643\pi\)
\(588\) −1716.23 8390.94i −0.120367 0.588498i
\(589\) 25528.3i 1.78586i
\(590\) 799.602 3094.53i 0.0557951 0.215932i
\(591\) 10958.3i 0.762713i
\(592\) 21054.3 + 8455.72i 1.46170 + 0.587040i
\(593\) −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
\(598\) 1032.46 + 310.150i 0.0706024 + 0.0212090i
\(599\) 1861.62 0.126985 0.0634923 0.997982i \(-0.479776\pi\)
0.0634923 + 0.997982i \(0.479776\pi\)
\(600\) 10472.1 + 127.230i 0.712537 + 0.00865692i
\(601\) −21693.2 −1.47235 −0.736177 0.676789i \(-0.763371\pi\)
−0.736177 + 0.676789i \(0.763371\pi\)
\(602\) −4501.15 1352.15i −0.304739 0.0915437i
\(603\) 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 0.727461 0.686149i \(-0.240700\pi\)
−0.686149 + 0.727461i \(0.740700\pi\)
\(608\) 2739.75 + 24430.7i 0.182749 + 1.62960i
\(609\) 3192.13i 0.212400i
\(610\) 1836.30 7106.63i 0.121884 0.471703i
\(611\) 1017.77i 0.0673891i
\(612\) −609.719 2981.03i −0.0402719 0.196897i
\(613\) 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 \(0.0486907\pi\)
\(618\) −1214.07 + 4041.50i −0.0790243 + 0.263063i
\(619\) −12163.2 −0.789788 −0.394894 0.918727i \(-0.629219\pi\)
−0.394894 + 0.918727i \(0.629219\pi\)
\(620\) −14379.9 8711.57i −0.931468 0.564299i
\(621\) 14988.2 0.968530
\(622\) −8790.56 + 29262.9i −0.566671 + 1.88639i
\(623\) −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
\(628\) 1801.04 368.372i 0.114441 0.0234071i
\(629\) 10145.8i 0.643149i
\(630\) −5364.75 9103.13i −0.339264 0.575679i
\(631\) 3347.17i 0.211171i 0.994410 + 0.105585i \(0.0336716\pi\)
−0.994410 + 0.105585i \(0.966328\pi\)
\(632\) −14538.1 17424.9i −0.915023 1.09672i
\(633\) −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
\(638\) −685.099 205.804i −0.0425131 0.0127709i
\(639\) −8167.95 −0.505664
\(640\) 14696.6 + 6793.74i 0.907708 + 0.419603i
\(641\) −24791.3 −1.52761 −0.763803 0.645449i \(-0.776670\pi\)
−0.763803 + 0.645449i \(0.776670\pi\)
\(642\) −6586.17 1978.48i −0.404884 0.121627i
\(643\) 12922.9 12922.9i 0.792583 0.792583i −0.189330 0.981913i \(-0.560632\pi\)
0.981913 + 0.189330i \(0.0606316\pi\)
\(644\) 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 \(-0.990828\pi\)
−0.0288113 0.999585i \(1.49083\pi\)
\(648\) 2805.74 + 3362.88i 0.170092 + 0.203868i
\(649\) 745.493i 0.0450896i
\(650\) 725.472 + 1128.11i 0.0437774 + 0.0680741i
\(651\) 17499.4i 1.05354i
\(652\) −10335.4 + 2113.93i −0.620806 + 0.126975i
\(653\) 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
\(658\) 5488.91 18272.0i 0.325197 1.08255i
\(659\) 773.045 0.0456958 0.0228479 0.999739i \(-0.492727\pi\)
0.0228479 + 0.999739i \(0.492727\pi\)
\(660\) −2372.33 + 582.342i −0.139913 + 0.0343449i
\(661\) 17856.3 1.05073 0.525364 0.850878i \(-0.323929\pi\)
0.525364 + 0.850878i \(0.323929\pi\)
\(662\) 6379.62 21237.1i 0.374549 1.24683i
\(663\) −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
\(668\) −2213.73 10823.3i −0.128221 0.626896i
\(669\) 17490.9i 1.01082i
\(670\) −1338.55 + 788.848i −0.0771833 + 0.0454864i
\(671\) 1712.04i 0.0984985i
\(672\) 1878.07 + 16747.0i 0.107810 + 0.961353i
\(673\) −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 \(0.321067\pi\)
\(678\) −14210.8 4268.92i −0.804958 0.241810i
\(679\) 19077.0 1.07822
\(680\) −369.889 + 7230.65i −0.0208597 + 0.407769i
\(681\) 4316.48 0.242890
\(682\) 3755.74 + 1128.22i 0.210872 + 0.0633460i
\(683\) −19946.1 + 19946.1i −1.11745 + 1.11745i −0.125331 + 0.992115i \(0.539999\pi\)
−0.992115 + 0.125331i \(0.960001\pi\)
\(684\) −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
\(688\) 3925.04 + 1576.35i 0.217501 + 0.0873515i
\(689\) 400.090i 0.0221222i
\(690\) −11389.9 2943.06i −0.628415 0.162378i
\(691\) 356.654i 0.0196350i −0.999952 0.00981748i \(-0.996875\pi\)
0.999952 0.00981748i \(-0.00312505\pi\)
\(692\) 1726.84 + 8442.84i 0.0948621 + 0.463798i
\(693\) 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
\(698\) 4488.09 14940.4i 0.243377 0.810175i
\(699\) 1532.05 0.0829003
\(700\) 6940.35 + 24165.4i 0.374744 + 1.30481i
\(701\) 17230.0 0.928343 0.464172 0.885745i \(-0.346352\pi\)
0.464172 + 0.885745i \(0.346352\pi\)
\(702\) −460.526 + 1533.04i −0.0247599 + 0.0824231i
\(703\) 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
\(708\) −2933.19 + 599.935i −0.155701 + 0.0318460i
\(709\) 8153.11i 0.431871i 0.976408 + 0.215935i \(0.0692801\pi\)
−0.976408 + 0.215935i \(0.930720\pi\)
\(710\) 18817.3 + 4862.26i 0.994651 + 0.257010i
\(711\) 13328.5i 0.703036i
\(712\) 18232.4 15211.8i 0.959672 0.800681i
\(713\) 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
\(718\) −9656.25 2900.74i −0.501905 0.150772i
\(719\) 17219.3 0.893147 0.446573 0.894747i \(-0.352644\pi\)
0.446573 + 0.894747i \(0.352644\pi\)
\(720\) 4071.63 + 8593.68i 0.210751 + 0.444816i
\(721\) −10130.8 −0.523287
\(722\) 31381.3 + 9426.94i 1.61758 + 0.485920i
\(723\) −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 0.443281 0.896383i \(-0.353814\pi\)
−0.896383 + 0.443281i \(0.853814\pi\)
\(728\) −1657.17 + 1382.62i −0.0843665 + 0.0703893i
\(729\) 17486.6i 0.888409i
\(730\) −1442.42 + 850.061i −0.0731320 + 0.0430989i
\(731\) 1891.43i 0.0957004i
\(732\) −6736.12 + 1377.76i −0.340129 + 0.0695676i
\(733\) 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
\(738\) 2282.98 7599.79i 0.113872 0.379068i
\(739\) 23097.8 1.14975 0.574875 0.818241i \(-0.305051\pi\)
0.574875 + 0.818241i \(0.305051\pi\)
\(740\) −7559.18 30794.4i −0.375515 1.52976i
\(741\) 1907.65 0.0945741
\(742\) −2157.70 + 7182.77i −0.106754 + 0.355374i
\(743\) −17404.1 + 17404.1i −0.859348 + 0.859348i −0.991261 0.131913i \(-0.957888\pi\)
0.131913 + 0.991261i \(0.457888\pi\)
\(744\) −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
\(748\) −338.395 1654.48i −0.0165414 0.0808739i
\(749\) 16509.4i 0.805396i
\(750\) −8390.19 11992.7i −0.408488 0.583884i
\(751\) 2347.75i 0.114075i 0.998372 + 0.0570377i \(0.0181655\pi\)
−0.998372 + 0.0570377i \(0.981834\pi\)
\(752\) −6399.05 + 15933.3i −0.310305 + 0.772644i
\(753\) −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 \(0.327247\pi\)
\(758\) 30149.6 + 9056.95i 1.44470 + 0.433989i
\(759\) 2743.91 0.131222
\(760\) 25503.5 23021.2i 1.21725 1.09877i
\(761\) −27017.6 −1.28697 −0.643486 0.765458i \(-0.722513\pi\)
−0.643486 + 0.765458i \(0.722513\pi\)
\(762\) −8786.80 2639.56i −0.417732 0.125487i
\(763\) 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
\(768\) −327.626 15162.8i −0.0153935 0.712423i
\(769\) 41584.0i 1.95001i 0.222183 + 0.975005i \(0.428682\pi\)
−0.222183 + 0.975005i \(0.571318\pi\)
\(770\) −2977.45 5052.26i −0.139350 0.236456i
\(771\) 29507.7i