Properties

Label 108.4.l.a.59.15
Level 108
Weight 4
Character 108.59
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 59.15
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.88377 + 2.10984i) q^{2} +(-4.43306 - 2.71072i) q^{3} +(-0.902841 - 7.94889i) q^{4} +(5.32629 + 14.6339i) q^{5} +(14.0700 - 4.24668i) q^{6} +(6.67869 - 1.17763i) q^{7} +(18.4716 + 13.0690i) q^{8} +(12.3040 + 24.0335i) q^{9} +O(q^{10})\) \(q+(-1.88377 + 2.10984i) q^{2} +(-4.43306 - 2.71072i) q^{3} +(-0.902841 - 7.94889i) q^{4} +(5.32629 + 14.6339i) q^{5} +(14.0700 - 4.24668i) q^{6} +(6.67869 - 1.17763i) q^{7} +(18.4716 + 13.0690i) q^{8} +(12.3040 + 24.0335i) q^{9} +(-40.9086 - 16.3292i) q^{10} +(-32.8435 - 11.9540i) q^{11} +(-17.5449 + 37.6853i) q^{12} +(-58.0957 - 48.7481i) q^{13} +(-10.0965 + 16.3094i) q^{14} +(16.0565 - 79.3109i) q^{15} +(-62.3698 + 14.3532i) q^{16} +(-26.5003 - 15.3000i) q^{17} +(-73.8848 - 19.3141i) q^{18} +(-47.8487 + 27.6255i) q^{19} +(111.514 - 55.5502i) q^{20} +(-32.7993 - 12.8835i) q^{21} +(87.0905 - 46.7758i) q^{22} +(-16.2062 + 91.9101i) q^{23} +(-46.4594 - 108.007i) q^{24} +(-90.0251 + 75.5401i) q^{25} +(212.289 - 30.7425i) q^{26} +(10.6037 - 139.895i) q^{27} +(-15.3907 - 52.0250i) q^{28} +(-146.505 - 174.598i) q^{29} +(137.086 + 183.280i) q^{30} +(-134.207 - 23.6644i) q^{31} +(87.2072 - 158.628i) q^{32} +(113.193 + 142.022i) q^{33} +(82.2009 - 27.0898i) q^{34} +(52.8060 + 91.4627i) q^{35} +(179.931 - 119.502i) q^{36} +(-109.255 + 189.235i) q^{37} +(31.8506 - 152.993i) q^{38} +(125.399 + 373.584i) q^{39} +(-92.8649 + 339.921i) q^{40} +(42.2042 - 50.2970i) q^{41} +(88.9684 - 44.9316i) q^{42} +(37.6216 - 103.364i) q^{43} +(-65.3689 + 271.862i) q^{44} +(-286.169 + 308.065i) q^{45} +(-163.387 - 207.330i) q^{46} +(-1.93936 - 10.9987i) q^{47} +(315.396 + 105.438i) q^{48} +(-279.096 + 101.583i) q^{49} +(10.2091 - 332.238i) q^{50} +(76.0036 + 139.661i) q^{51} +(-335.042 + 505.808i) q^{52} +586.118i q^{53} +(275.181 + 285.901i) q^{54} -544.297i q^{55} +(138.757 + 65.5311i) q^{56} +(287.001 + 7.23904i) q^{57} +(644.356 + 19.7998i) q^{58} +(380.315 - 138.423i) q^{59} +(-644.930 - 56.0264i) q^{60} +(-122.599 - 695.294i) q^{61} +(302.744 - 238.578i) q^{62} +(110.477 + 146.023i) q^{63} +(170.402 + 482.812i) q^{64} +(403.938 - 1109.81i) q^{65} +(-512.873 - 28.7181i) q^{66} +(518.451 - 617.866i) q^{67} +(-97.6922 + 224.462i) q^{68} +(320.985 - 363.512i) q^{69} +(-292.446 - 60.8823i) q^{70} +(-526.234 + 911.464i) q^{71} +(-86.8195 + 604.740i) q^{72} +(335.741 + 581.520i) q^{73} +(-193.444 - 586.983i) q^{74} +(603.855 - 90.8408i) q^{75} +(262.792 + 355.403i) q^{76} +(-233.429 - 41.1598i) q^{77} +(-1024.43 - 439.173i) q^{78} +(-715.214 - 852.358i) q^{79} +(-542.242 - 836.262i) q^{80} +(-426.222 + 591.418i) q^{81} +(26.6157 + 183.792i) q^{82} +(-539.813 + 452.957i) q^{83} +(-72.7973 + 272.350i) q^{84} +(82.7493 - 469.294i) q^{85} +(147.212 + 274.090i) q^{86} +(176.180 + 1171.14i) q^{87} +(-450.444 - 650.042i) q^{88} +(731.282 - 422.206i) q^{89} +(-110.892 - 1184.09i) q^{90} +(-445.411 - 257.158i) q^{91} +(745.215 + 45.8414i) q^{92} +(530.802 + 468.704i) q^{93} +(26.8587 + 16.6272i) q^{94} +(-659.124 - 553.070i) q^{95} +(-816.591 + 466.814i) q^{96} +(930.497 + 338.673i) q^{97} +(311.429 - 780.207i) q^{98} +(-116.809 - 936.427i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.88377 + 2.10984i −0.666012 + 0.745941i
\(3\) −4.43306 2.71072i −0.853143 0.521678i
\(4\) −0.902841 7.94889i −0.112855 0.993611i
\(5\) 5.32629 + 14.6339i 0.476398 + 1.30889i 0.912530 + 0.409010i \(0.134126\pi\)
−0.436132 + 0.899883i \(0.643652\pi\)
\(6\) 14.0700 4.24668i 0.957344 0.288950i
\(7\) 6.67869 1.17763i 0.360616 0.0635863i 0.00959492 0.999954i \(-0.496946\pi\)
0.351021 + 0.936368i \(0.385835\pi\)
\(8\) 18.4716 + 13.0690i 0.816338 + 0.577574i
\(9\) 12.3040 + 24.0335i 0.455704 + 0.890131i
\(10\) −40.9086 16.3292i −1.29364 0.516374i
\(11\) −32.8435 11.9540i −0.900243 0.327662i −0.149893 0.988702i \(-0.547893\pi\)
−0.750350 + 0.661041i \(0.770115\pi\)
\(12\) −17.5449 + 37.6853i −0.422064 + 0.906566i
\(13\) −58.0957 48.7481i −1.23945 1.04002i −0.997567 0.0697169i \(-0.977790\pi\)
−0.241883 0.970305i \(-0.577765\pi\)
\(14\) −10.0965 + 16.3094i −0.192743 + 0.311347i
\(15\) 16.0565 79.3109i 0.276385 1.36520i
\(16\) −62.3698 + 14.3532i −0.974527 + 0.224268i
\(17\) −26.5003 15.3000i −0.378075 0.218282i 0.298905 0.954283i \(-0.403378\pi\)
−0.676980 + 0.736001i \(0.736712\pi\)
\(18\) −73.8848 19.3141i −0.967490 0.252910i
\(19\) −47.8487 + 27.6255i −0.577750 + 0.333564i −0.760239 0.649644i \(-0.774918\pi\)
0.182489 + 0.983208i \(0.441585\pi\)
\(20\) 111.514 55.5502i 1.24677 0.621070i
\(21\) −32.7993 12.8835i −0.340828 0.133877i
\(22\) 87.0905 46.7758i 0.843989 0.453301i
\(23\) −16.2062 + 91.9101i −0.146923 + 0.833243i 0.818880 + 0.573965i \(0.194596\pi\)
−0.965803 + 0.259277i \(0.916516\pi\)
\(24\) −46.4594 108.007i −0.395145 0.918619i
\(25\) −90.0251 + 75.5401i −0.720201 + 0.604320i
\(26\) 212.289 30.7425i 1.60128 0.231889i
\(27\) 10.6037 139.895i 0.0755809 0.997140i
\(28\) −15.3907 52.0250i −0.103877 0.351136i
\(29\) −146.505 174.598i −0.938115 1.11800i −0.992834 0.119501i \(-0.961871\pi\)
0.0547186 0.998502i \(-0.482574\pi\)
\(30\) 137.086 + 183.280i 0.834281 + 1.11541i
\(31\) −134.207 23.6644i −0.777560 0.137105i −0.229236 0.973371i \(-0.573623\pi\)
−0.548324 + 0.836266i \(0.684734\pi\)
\(32\) 87.2072 158.628i 0.481756 0.876305i
\(33\) 113.193 + 142.022i 0.597102 + 0.749179i
\(34\) 82.2009 27.0898i 0.414628 0.136643i
\(35\) 52.8060 + 91.4627i 0.255024 + 0.441715i
\(36\) 179.931 119.502i 0.833016 0.553249i
\(37\) −109.255 + 189.235i −0.485442 + 0.840810i −0.999860 0.0167296i \(-0.994675\pi\)
0.514418 + 0.857539i \(0.328008\pi\)
\(38\) 31.8506 152.993i 0.135970 0.653125i
\(39\) 125.399 + 373.584i 0.514871 + 1.53388i
\(40\) −92.8649 + 339.921i −0.367081 + 1.34365i
\(41\) 42.2042 50.2970i 0.160761 0.191587i −0.679651 0.733536i \(-0.737869\pi\)
0.840412 + 0.541948i \(0.182313\pi\)
\(42\) 88.9684 44.9316i 0.326860 0.165074i
\(43\) 37.6216 103.364i 0.133424 0.366580i −0.854932 0.518741i \(-0.826401\pi\)
0.988356 + 0.152161i \(0.0486232\pi\)
\(44\) −65.3689 + 271.862i −0.223971 + 0.931470i
\(45\) −286.169 + 308.065i −0.947990 + 1.02053i
\(46\) −163.387 207.330i −0.523697 0.664546i
\(47\) −1.93936 10.9987i −0.00601883 0.0341345i 0.981650 0.190689i \(-0.0610723\pi\)
−0.987669 + 0.156555i \(0.949961\pi\)
\(48\) 315.396 + 105.438i 0.948407 + 0.317057i
\(49\) −279.096 + 101.583i −0.813692 + 0.296160i
\(50\) 10.2091 332.238i 0.0288756 0.939712i
\(51\) 76.0036 + 139.661i 0.208679 + 0.383459i
\(52\) −335.042 + 505.808i −0.893500 + 1.34890i
\(53\) 586.118i 1.51905i 0.650480 + 0.759523i \(0.274568\pi\)
−0.650480 + 0.759523i \(0.725432\pi\)
\(54\) 275.181 + 285.901i 0.693469 + 0.720486i
\(55\) 544.297i 1.33442i
\(56\) 138.757 + 65.5311i 0.331110 + 0.156374i
\(57\) 287.001 + 7.23904i 0.666916 + 0.0168216i
\(58\) 644.356 + 19.7998i 1.45876 + 0.0448249i
\(59\) 380.315 138.423i 0.839201 0.305444i 0.113571 0.993530i \(-0.463771\pi\)
0.725629 + 0.688086i \(0.241549\pi\)
\(60\) −644.930 56.0264i −1.38767 0.120550i
\(61\) −122.599 695.294i −0.257331 1.45940i −0.790017 0.613085i \(-0.789928\pi\)
0.532686 0.846313i \(-0.321183\pi\)
\(62\) 302.744 238.578i 0.620137 0.488700i
\(63\) 110.477 + 146.023i 0.220934 + 0.292019i
\(64\) 170.402 + 482.812i 0.332816 + 0.942992i
\(65\) 403.938 1109.81i 0.770806 2.11777i
\(66\) −512.873 28.7181i −0.956520 0.0535599i
\(67\) 518.451 617.866i 0.945357 1.12663i −0.0464546 0.998920i \(-0.514792\pi\)
0.991811 0.127712i \(-0.0407633\pi\)
\(68\) −97.6922 + 224.462i −0.174219 + 0.400294i
\(69\) 320.985 363.512i 0.560031 0.634228i
\(70\) −292.446 60.8823i −0.499342 0.103955i
\(71\) −526.234 + 911.464i −0.879612 + 1.52353i −0.0278451 + 0.999612i \(0.508865\pi\)
−0.851767 + 0.523921i \(0.824469\pi\)
\(72\) −86.8195 + 604.740i −0.142108 + 0.989851i
\(73\) 335.741 + 581.520i 0.538294 + 0.932353i 0.998996 + 0.0447982i \(0.0142645\pi\)
−0.460702 + 0.887555i \(0.652402\pi\)
\(74\) −193.444 586.983i −0.303884 0.922101i
\(75\) 603.855 90.8408i 0.929695 0.139859i
\(76\) 262.792 + 355.403i 0.396635 + 0.536415i
\(77\) −233.429 41.1598i −0.345476 0.0609168i
\(78\) −1024.43 439.173i −1.48709 0.637520i
\(79\) −715.214 852.358i −1.01858 1.21390i −0.976664 0.214775i \(-0.931098\pi\)
−0.0419165 0.999121i \(1.48665\pi\)
\(80\) −542.242 836.262i −0.757806 1.16871i
\(81\) −426.222 + 591.418i −0.584667 + 0.811273i
\(82\) 26.6157 + 183.792i 0.0358440 + 0.247517i
\(83\) −539.813 + 452.957i −0.713881 + 0.599017i −0.925685 0.378295i \(-0.876511\pi\)
0.211804 + 0.977312i \(0.432066\pi\)
\(84\) −72.7973 + 272.350i −0.0945576 + 0.353759i
\(85\) 82.7493 469.294i 0.105593 0.598849i
\(86\) 147.212 + 274.090i 0.184585 + 0.343673i
\(87\) 176.180 + 1171.14i 0.217109 + 1.44321i
\(88\) −450.444 650.042i −0.545654 0.787440i
\(89\) 731.282 422.206i 0.870963 0.502851i 0.00329517 0.999995i \(-0.498951\pi\)
0.867668 + 0.497144i \(0.165618\pi\)
\(90\) −110.892 1184.09i −0.129878 1.38683i
\(91\) −445.411 257.158i −0.513096 0.296236i
\(92\) 745.215 + 45.8414i 0.844500 + 0.0519488i
\(93\) 530.802 + 468.704i 0.591845 + 0.522606i
\(94\) 26.8587 + 16.6272i 0.0294709 + 0.0182443i
\(95\) −659.124 553.070i −0.711839 0.597303i
\(96\) −816.591 + 466.814i −0.868156 + 0.496292i
\(97\) 930.497 + 338.673i 0.973996 + 0.354506i 0.779503 0.626398i \(-0.215472\pi\)
0.194493 + 0.980904i \(0.437694\pi\)
\(98\) 311.429 780.207i 0.321011 0.804212i
\(99\) −116.809 936.427i −0.118583 0.950651i
\(100\) 681.738 + 647.399i 0.681738 + 0.647399i
\(101\) −573.995 + 101.211i −0.565491 + 0.0997113i −0.449083 0.893490i \(-0.648249\pi\)
−0.116408 + 0.993201i \(0.537138\pi\)
\(102\) −437.835 102.733i −0.425020 0.0997260i
\(103\) 586.536 + 1611.50i 0.561099 + 1.54161i 0.818030 + 0.575176i \(0.195066\pi\)
−0.256931 + 0.966430i \(0.582711\pi\)
\(104\) −436.033 1659.71i −0.411120 1.56488i
\(105\) 13.8374 548.602i 0.0128609 0.509886i
\(106\) −1236.61 1104.11i −1.13312 1.01170i
\(107\) −1431.94 −1.29375 −0.646873 0.762597i \(-0.723924\pi\)
−0.646873 + 0.762597i \(0.723924\pi\)
\(108\) −1121.58 + 42.0150i −0.999299 + 0.0374342i
\(109\) 882.024 0.775069 0.387535 0.921855i \(-0.373327\pi\)
0.387535 + 0.921855i \(0.373327\pi\)
\(110\) 1148.38 + 1025.33i 0.995398 + 0.888740i
\(111\) 997.293 542.729i 0.852783 0.464086i
\(112\) −399.646 + 169.309i −0.337169 + 0.142841i
\(113\) 213.857 + 587.567i 0.178035 + 0.489147i 0.996324 0.0856592i \(-0.0272996\pi\)
−0.818290 + 0.574806i \(0.805077\pi\)
\(114\) −555.916 + 591.889i −0.456722 + 0.486276i
\(115\) −1431.32 + 252.380i −1.16062 + 0.204648i
\(116\) −1255.59 + 1322.19i −1.00499 + 1.05829i
\(117\) 456.779 1996.04i 0.360933 1.57722i
\(118\) −424.374 + 1063.16i −0.331075 + 0.829424i
\(119\) −195.005 70.9762i −0.150219 0.0546754i
\(120\) 1333.10 1255.16i 1.01413 0.954831i
\(121\) −83.8119 70.3265i −0.0629691 0.0528374i
\(122\) 1697.91 + 1051.11i 1.26001 + 0.780023i
\(123\) −323.435 + 108.566i −0.237099 + 0.0795858i
\(124\) −66.9377 + 1088.17i −0.0484773 + 0.788066i
\(125\) 100.887 + 58.2473i 0.0721890 + 0.0416783i
\(126\) −516.199 41.9837i −0.364974 0.0296842i
\(127\) 1599.10 923.243i 1.11730 0.645076i 0.176592 0.984284i \(-0.443493\pi\)
0.940711 + 0.339209i \(0.110159\pi\)
\(128\) −1339.65 549.985i −0.925076 0.379783i
\(129\) −446.970 + 356.239i −0.305066 + 0.243140i
\(130\) 1580.60 + 2942.87i 1.06637 + 1.98544i
\(131\) −357.341 + 2026.58i −0.238328 + 1.35163i 0.597161 + 0.802121i \(0.296295\pi\)
−0.835489 + 0.549506i \(0.814816\pi\)
\(132\) 1026.72 1027.98i 0.677007 0.677836i
\(133\) −287.034 + 240.850i −0.187136 + 0.157025i
\(134\) 326.957 + 2257.76i 0.210782 + 1.45553i
\(135\) 2103.68 589.947i 1.34116 0.376108i
\(136\) −289.549 628.949i −0.182563 0.396558i
\(137\) 322.995 + 384.930i 0.201426 + 0.240050i 0.857296 0.514824i \(-0.172143\pi\)
−0.655870 + 0.754874i \(0.727698\pi\)
\(138\) 162.290 + 1362.00i 0.100109 + 0.840153i
\(139\) −1208.49 213.089i −0.737429 0.130029i −0.207696 0.978193i \(-0.566597\pi\)
−0.529732 + 0.848165i \(0.677708\pi\)
\(140\) 679.352 502.326i 0.410112 0.303245i
\(141\) −21.2170 + 54.0148i −0.0126723 + 0.0322615i
\(142\) −931.740 2827.25i −0.550633 1.67083i
\(143\) 1325.33 + 2295.53i 0.775031 + 1.34239i
\(144\) −1112.36 1322.36i −0.643725 0.765257i
\(145\) 1774.72 3073.90i 1.01643 1.76051i
\(146\) −1859.37 387.090i −1.05399 0.219423i
\(147\) 1512.61 + 306.229i 0.848695 + 0.171819i
\(148\) 1602.84 + 697.604i 0.890223 + 0.387451i
\(149\) −2156.66 + 2570.21i −1.18577 + 1.41315i −0.296957 + 0.954891i \(0.595972\pi\)
−0.888818 + 0.458261i \(0.848473\pi\)
\(150\) −945.862 + 1445.16i −0.514862 + 0.786645i
\(151\) 93.1146 255.830i 0.0501825 0.137875i −0.912069 0.410036i \(-0.865516\pi\)
0.962252 + 0.272161i \(0.0877383\pi\)
\(152\) −1244.88 115.048i −0.664297 0.0613924i
\(153\) 41.6520 825.148i 0.0220089 0.436008i
\(154\) 526.566 414.962i 0.275532 0.217134i
\(155\) −368.527 2090.02i −0.190973 1.08306i
\(156\) 2856.37 1334.07i 1.46598 0.684688i
\(157\) −1467.70 + 534.198i −0.746083 + 0.271552i −0.686957 0.726698i \(-0.741054\pi\)
−0.0591266 + 0.998250i \(0.518832\pi\)
\(158\) 3145.64 + 96.6594i 1.58388 + 0.0486697i
\(159\) 1588.80 2598.29i 0.792453 1.29596i
\(160\) 2785.83 + 431.279i 1.37650 + 0.213098i
\(161\) 632.924i 0.309823i
\(162\) −444.894 2013.35i −0.215766 0.976445i
\(163\) 1678.84i 0.806728i −0.915040 0.403364i \(-0.867841\pi\)
0.915040 0.403364i \(-0.132159\pi\)
\(164\) −437.909 290.066i −0.208506 0.138112i
\(165\) −1475.44 + 2412.90i −0.696137 + 1.13845i
\(166\) 61.2160 1992.18i 0.0286222 0.931466i
\(167\) 3281.94 1194.53i 1.52075 0.553506i 0.559411 0.828891i \(-0.311027\pi\)
0.961334 + 0.275385i \(0.0888052\pi\)
\(168\) −437.481 666.634i −0.200907 0.306142i
\(169\) 617.231 + 3500.49i 0.280942 + 1.59330i
\(170\) 834.255 + 1058.63i 0.376379 + 0.477607i
\(171\) −1252.67 810.070i −0.560199 0.362267i
\(172\) −855.599 205.728i −0.379295 0.0912013i
\(173\) 5.00323 13.7463i 0.00219878 0.00604110i −0.938588 0.345039i \(-0.887866\pi\)
0.940787 + 0.338998i \(0.110088\pi\)
\(174\) −2802.80 1834.44i −1.22115 0.799245i
\(175\) −512.292 + 610.526i −0.221289 + 0.263722i
\(176\) 2220.02 + 274.163i 0.950796 + 0.117419i
\(177\) −2061.19 417.288i −0.875301 0.177205i
\(178\) −486.779 + 2338.23i −0.204975 + 0.984592i
\(179\) −35.3362 + 61.2040i −0.0147550 + 0.0255564i −0.873309 0.487167i \(-0.838030\pi\)
0.858554 + 0.512724i \(0.171364\pi\)
\(180\) 2707.14 + 1996.59i 1.12099 + 0.826762i
\(181\) −1215.52 2105.34i −0.499164 0.864578i 0.500835 0.865543i \(-0.333026\pi\)
−1.00000 0.000964503i \(0.999693\pi\)
\(182\) 1381.61 455.319i 0.562703 0.185442i
\(183\) −1341.26 + 3414.61i −0.541796 + 1.37932i
\(184\) −1500.53 + 1485.93i −0.601198 + 0.595349i
\(185\) −3351.15 590.899i −1.33179 0.234831i
\(186\) −1988.80 + 236.977i −0.784009 + 0.0934194i
\(187\) 687.466 + 819.290i 0.268837 + 0.320387i
\(188\) −85.6763 + 25.3458i −0.0332371 + 0.00983263i
\(189\) −93.9260 946.802i −0.0361487 0.364390i
\(190\) 2408.53 348.789i 0.919646 0.133178i
\(191\) −537.090 + 450.672i −0.203468 + 0.170730i −0.738828 0.673894i \(-0.764620\pi\)
0.535360 + 0.844624i \(0.320176\pi\)
\(192\) 553.365 2602.24i 0.207998 0.978129i
\(193\) −241.240 + 1368.14i −0.0899733 + 0.510264i 0.906199 + 0.422852i \(0.138971\pi\)
−0.996172 + 0.0874122i \(0.972140\pi\)
\(194\) −2467.39 + 1325.22i −0.913134 + 0.490438i
\(195\) −4799.07 + 3824.90i −1.76240 + 1.40465i
\(196\) 1059.45 + 2126.79i 0.386097 + 0.775071i
\(197\) 1367.09 789.290i 0.494422 0.285455i −0.231985 0.972719i \(-0.574522\pi\)
0.726407 + 0.687265i \(0.241189\pi\)
\(198\) 2195.75 + 1517.56i 0.788107 + 0.544690i
\(199\) 998.953 + 576.745i 0.355849 + 0.205449i 0.667258 0.744827i \(-0.267468\pi\)
−0.311410 + 0.950276i \(0.600801\pi\)
\(200\) −2650.14 + 218.808i −0.936968 + 0.0773603i
\(201\) −3973.19 + 1333.66i −1.39426 + 0.468006i
\(202\) 867.734 1401.69i 0.302245 0.488232i
\(203\) −1184.08 993.558i −0.409389 0.343518i
\(204\) 1041.53 730.236i 0.357458 0.250621i
\(205\) 960.832 + 349.714i 0.327353 + 0.119147i
\(206\) −4504.89 1798.19i −1.52364 0.608182i
\(207\) −2408.33 + 741.370i −0.808649 + 0.248931i
\(208\) 4323.11 + 2206.55i 1.44112 + 0.735561i
\(209\) 1901.75 335.330i 0.629411 0.110982i
\(210\) 1131.39 + 1062.63i 0.371779 + 0.349184i
\(211\) −254.847 700.186i −0.0831487 0.228449i 0.891150 0.453709i \(-0.149899\pi\)
−0.974299 + 0.225259i \(0.927677\pi\)
\(212\) 4658.99 529.171i 1.50934 0.171432i
\(213\) 4803.55 2614.10i 1.54523 0.840917i
\(214\) 2697.44 3021.16i 0.861651 0.965059i
\(215\) 1713.00 0.543376
\(216\) 2024.16 2445.50i 0.637622 0.770350i
\(217\) −924.199 −0.289118
\(218\) −1661.53 + 1860.93i −0.516206 + 0.578156i
\(219\) 87.9782 3488.01i 0.0271462 1.07625i
\(220\) −4326.56 + 491.414i −1.32589 + 0.150596i
\(221\) 793.711 + 2180.70i 0.241587 + 0.663756i
\(222\) −733.597 + 3126.50i −0.221783 + 0.945213i
\(223\) −3008.22 + 530.430i −0.903341 + 0.159283i −0.605978 0.795481i \(-0.707218\pi\)
−0.297363 + 0.954765i \(0.596107\pi\)
\(224\) 395.625 1162.13i 0.118008 0.346642i
\(225\) −2923.17 1234.18i −0.866123 0.365682i
\(226\) −1642.53 655.636i −0.483448 0.192974i
\(227\) −3778.36 1375.21i −1.10475 0.402097i −0.275687 0.961248i \(-0.588905\pi\)
−0.829066 + 0.559150i \(0.811127\pi\)
\(228\) −201.574 2287.88i −0.0585507 0.664554i
\(229\) −644.605 540.888i −0.186012 0.156082i 0.545027 0.838419i \(-0.316520\pi\)
−0.731038 + 0.682336i \(0.760964\pi\)
\(230\) 2163.79 3495.28i 0.620331 1.00205i
\(231\) 923.231 + 815.224i 0.262962 + 0.232198i
\(232\) −424.364 5139.79i −0.120090 1.45450i
\(233\) −417.335 240.949i −0.117341 0.0677471i 0.440181 0.897909i \(-0.354914\pi\)
−0.557522 + 0.830162i \(0.688248\pi\)
\(234\) 3350.87 + 4723.81i 0.936124 + 1.31968i
\(235\) 150.623 86.9625i 0.0418110 0.0241396i
\(236\) −1443.68 2898.11i −0.398201 0.799369i
\(237\) 860.081 + 5717.30i 0.235731 + 1.56700i
\(238\) 517.093 277.727i 0.140833 0.0756403i
\(239\) 424.347 2406.59i 0.114848 0.651336i −0.871977 0.489546i \(-0.837162\pi\)
0.986825 0.161789i \(-0.0517265\pi\)
\(240\) 136.921 + 5177.06i 0.0368260 + 1.39241i
\(241\) −85.1216 + 71.4255i −0.0227517 + 0.0190910i −0.654093 0.756414i \(-0.726949\pi\)
0.631341 + 0.775505i \(0.282505\pi\)
\(242\) 306.260 44.3508i 0.0813517 0.0117809i
\(243\) 3492.64 1466.42i 0.922028 0.387124i
\(244\) −5416.13 + 1602.27i −1.42103 + 0.420388i
\(245\) −2973.10 3543.20i −0.775283 0.923946i
\(246\) 380.219 886.908i 0.0985443 0.229867i
\(247\) 4126.49 + 727.612i 1.06301 + 0.187437i
\(248\) −2169.76 2191.08i −0.555564 0.561023i
\(249\) 3620.86 544.704i 0.921537 0.138631i
\(250\) −312.940 + 103.131i −0.0791683 + 0.0260904i
\(251\) −1365.63 2365.35i −0.343419 0.594818i 0.641647 0.767000i \(-0.278252\pi\)
−0.985065 + 0.172182i \(0.944918\pi\)
\(252\) 1060.98 1010.01i 0.265220 0.252479i
\(253\) 1630.97 2824.91i 0.405288 0.701980i
\(254\) −1064.45 + 5113.03i −0.262950 + 1.26307i
\(255\) −1638.96 + 1856.10i −0.402492 + 0.455818i
\(256\) 3683.97 1790.41i 0.899407 0.437111i
\(257\) 1602.85 1910.20i 0.389039 0.463638i −0.535607 0.844468i \(-0.679917\pi\)
0.924645 + 0.380829i \(0.124361\pi\)
\(258\) 90.3812 1614.11i 0.0218096 0.389496i
\(259\) −506.829 + 1392.50i −0.121594 + 0.334077i
\(260\) −9186.46 2208.88i −2.19123 0.526880i
\(261\) 2393.61 5669.30i 0.567666 1.34452i
\(262\) −3602.61 4571.54i −0.849505 1.07798i
\(263\) 230.354 + 1306.40i 0.0540085 + 0.306297i 0.999831 0.0183870i \(-0.00585309\pi\)
−0.945822 + 0.324684i \(0.894742\pi\)
\(264\) 234.766 + 4102.70i 0.0547305 + 0.956454i
\(265\) −8577.17 + 3121.83i −1.98827 + 0.723671i
\(266\) 32.5503 1059.30i 0.00750297 0.244173i
\(267\) −4386.30 110.636i −1.00538 0.0253588i
\(268\) −5379.43 3563.28i −1.22612 0.812171i
\(269\) 2225.09i 0.504335i 0.967684 + 0.252167i \(0.0811434\pi\)
−0.967684 + 0.252167i \(0.918857\pi\)
\(270\) −2718.15 + 5549.75i −0.612672 + 1.25092i
\(271\) 5006.76i 1.12228i 0.827719 + 0.561142i \(0.189638\pi\)
−0.827719 + 0.561142i \(0.810362\pi\)
\(272\) 1872.42 + 573.892i 0.417398 + 0.127931i
\(273\) 1277.45 + 2347.38i 0.283204 + 0.520403i
\(274\) −1420.59 43.6520i −0.313215 0.00962449i
\(275\) 3859.75 1404.83i 0.846369 0.308053i
\(276\) −3179.32 2223.28i −0.693379 0.484877i
\(277\) 1060.40 + 6013.83i 0.230012 + 1.30446i 0.852868 + 0.522127i \(0.174861\pi\)
−0.622856 + 0.782337i \(0.714028\pi\)
\(278\) 2726.09 2148.30i 0.588130 0.463478i
\(279\) −1082.55 3516.65i −0.232296 0.754610i
\(280\) −219.914 + 2379.59i −0.0469371 + 0.507884i
\(281\) 1718.46 4721.44i 0.364822 1.00234i −0.612480 0.790486i \(-0.709828\pi\)
0.977301 0.211853i \(-0.0679499\pi\)
\(282\) −73.9947 146.516i −0.0156252 0.0309393i
\(283\) 2871.35 3421.94i 0.603124 0.718775i −0.374947 0.927046i \(-0.622339\pi\)
0.978071 + 0.208271i \(0.0667837\pi\)
\(284\) 7720.23 + 3360.07i 1.61307 + 0.702054i
\(285\) 1422.72 + 4238.49i 0.295700 + 0.880935i
\(286\) −7339.82 1528.03i −1.51753 0.315923i
\(287\) 222.637 385.619i 0.0457905 0.0793115i
\(288\) 4885.40 + 144.135i 0.999565 + 0.0294903i
\(289\) −1988.32 3443.87i −0.404706 0.700972i
\(290\) 3142.28 + 9534.88i 0.636279 + 1.93072i
\(291\) −3206.90 4023.67i −0.646020 0.810556i
\(292\) 4319.32 3193.79i 0.865648 0.640076i
\(293\) 3564.63 + 628.540i 0.710743 + 0.125323i 0.517320 0.855792i \(-0.326930\pi\)
0.193423 + 0.981115i \(0.438041\pi\)
\(294\) −3495.51 + 2614.51i −0.693408 + 0.518643i
\(295\) 4051.34 + 4828.20i 0.799587 + 0.952911i
\(296\) −4491.22 + 2067.62i −0.881915 + 0.406006i
\(297\) −2020.57 + 4467.87i −0.394766 + 0.872903i
\(298\) −1360.08 9391.88i −0.264387 1.82569i
\(299\) 5421.95 4549.56i 1.04869 0.879959i
\(300\) −1267.27 4717.96i −0.243886 0.907972i
\(301\) 129.537 734.644i 0.0248054 0.140678i
\(302\) 364.354 + 678.382i 0.0694246 + 0.129260i
\(303\) 2818.91 + 1107.26i 0.534462 + 0.209936i
\(304\) 2587.80 2409.77i 0.488225 0.454638i
\(305\) 9521.84 5497.44i 1.78760 1.03207i
\(306\) 1662.47 + 1642.27i 0.310578 + 0.306804i
\(307\) 5177.24 + 2989.08i 0.962478 + 0.555687i 0.896935 0.442163i \(-0.145789\pi\)
0.0655429 + 0.997850i \(0.479122\pi\)
\(308\) −116.426 + 1892.66i −0.0215389 + 0.350144i
\(309\) 1768.16 8733.79i 0.325524 1.60792i
\(310\) 5103.82 + 3159.58i 0.935088 + 0.578877i
\(311\) −746.895 626.719i −0.136182 0.114270i 0.572152 0.820147i \(-0.306109\pi\)
−0.708334 + 0.705877i \(0.750553\pi\)
\(312\) −2566.05 + 8539.55i −0.465621 + 1.54954i
\(313\) 3367.07 + 1225.51i 0.608044 + 0.221310i 0.627647 0.778498i \(-0.284018\pi\)
−0.0196031 + 0.999808i \(0.506240\pi\)
\(314\) 1637.73 4102.91i 0.294339 0.737391i
\(315\) −1548.45 + 2394.47i −0.276968 + 0.428296i
\(316\) −6129.58 + 6454.70i −1.09119 + 1.14907i
\(317\) −904.759 + 159.533i −0.160304 + 0.0282659i −0.253224 0.967408i \(-0.581491\pi\)
0.0929202 + 0.995674i \(0.470380\pi\)
\(318\) 2489.05 + 8246.69i 0.438928 + 1.45425i
\(319\) 2724.59 + 7485.74i 0.478205 + 1.31386i
\(320\) −6157.79 + 5065.23i −1.07572 + 0.884860i
\(321\) 6347.88 + 3881.59i 1.10375 + 0.674919i
\(322\) −1335.37 1192.28i −0.231109 0.206346i
\(323\) 1690.68 0.291244
\(324\) 5085.93 + 2854.04i 0.872073 + 0.489375i
\(325\) 8912.51 1.52116
\(326\) 3542.07 + 3162.54i 0.601771 + 0.537291i
\(327\) −3910.06 2390.92i −0.661244 0.404336i
\(328\) 1436.91 377.500i 0.241891 0.0635487i
\(329\) −25.9048 71.1729i −0.00434097 0.0119267i
\(330\) −2311.46 7658.28i −0.385580 1.27750i
\(331\) −4057.13 + 715.382i −0.673716 + 0.118794i −0.500032 0.866007i \(-0.666678\pi\)
−0.173684 + 0.984801i \(0.555567\pi\)
\(332\) 4087.87 + 3881.96i 0.675756 + 0.641718i
\(333\) −5892.25 297.430i −0.969649 0.0489461i
\(334\) −3662.15 + 9174.59i −0.599952 + 1.50303i
\(335\) 11803.2 + 4296.01i 1.92501 + 0.700645i
\(336\) 2230.60 + 332.769i 0.362171 + 0.0540299i
\(337\) −8820.54 7401.32i −1.42577 1.19637i −0.948159 0.317797i \(-0.897057\pi\)
−0.477615 0.878569i \(-0.658498\pi\)
\(338\) −8548.19 5291.85i −1.37562 0.851594i
\(339\) 644.688 3184.42i 0.103288 0.510189i
\(340\) −3805.08 234.067i −0.606940 0.0373354i
\(341\) 4124.95 + 2381.54i 0.655069 + 0.378204i
\(342\) 4068.85 1116.95i 0.643329 0.176601i
\(343\) −3758.86 + 2170.18i −0.591718 + 0.341629i
\(344\) 2045.80 1417.63i 0.320646 0.222191i
\(345\) 7029.25 + 2761.09i 1.09693 + 0.430875i
\(346\) 19.5775 + 36.4508i 0.00304189 + 0.00566361i
\(347\) −604.503 + 3428.31i −0.0935200 + 0.530378i 0.901671 + 0.432423i \(0.142341\pi\)
−0.995191 + 0.0979552i \(0.968770\pi\)
\(348\) 9150.19 2457.79i 1.40949 0.378596i
\(349\) 3350.03 2811.01i 0.513820 0.431146i −0.348651 0.937253i \(-0.613360\pi\)
0.862471 + 0.506107i \(0.168916\pi\)
\(350\) −323.072 2230.94i −0.0493398 0.340711i
\(351\) −7435.64 + 7610.38i −1.13073 + 1.15730i
\(352\) −4760.43 + 4167.42i −0.720829 + 0.631034i
\(353\) −5842.05 6962.29i −0.880853 1.04976i −0.998392 0.0566914i \(-0.981945\pi\)
0.117539 0.993068i \(-0.462500\pi\)
\(354\) 4763.21 3562.70i 0.715146 0.534902i
\(355\) −16141.1 2846.11i −2.41319 0.425510i
\(356\) −4016.30 5431.70i −0.597931 0.808650i
\(357\) 672.074 + 843.246i 0.0996356 + 0.125012i
\(358\) −62.5655 189.848i −0.00923657 0.0280273i
\(359\) 370.159 + 641.134i 0.0544185 + 0.0942555i 0.891951 0.452131i \(-0.149336\pi\)
−0.837533 + 0.546387i \(0.816003\pi\)
\(360\) −9312.11 + 1950.52i −1.36331 + 0.285559i
\(361\) −1903.17 + 3296.38i −0.277470 + 0.480592i
\(362\) 6731.68 + 1401.42i 0.977374 + 0.203473i
\(363\) 180.908 + 538.952i 0.0261575 + 0.0779274i
\(364\) −1641.99 + 3772.70i −0.236438 + 0.543250i
\(365\) −6721.64 + 8010.53i −0.963908 + 1.14874i
\(366\) −4677.66 9262.17i −0.668048 1.32279i
\(367\) 3325.12 9135.68i 0.472942 1.29940i −0.442436 0.896800i \(-0.645885\pi\)
0.915377 0.402597i \(-0.131892\pi\)
\(368\) −308.423 5965.02i −0.0436892 0.844968i
\(369\) 1728.10 + 395.461i 0.243797 + 0.0557910i
\(370\) 7559.50 5957.28i 1.06216 0.837039i
\(371\) 690.232 + 3914.50i 0.0965905 + 0.547792i
\(372\) 3246.45 4642.45i 0.452475 0.647043i
\(373\) −3734.10 + 1359.10i −0.518350 + 0.188664i −0.587929 0.808913i \(-0.700057\pi\)
0.0695792 + 0.997576i \(0.477834\pi\)
\(374\) −3023.60 92.9093i −0.418039 0.0128455i
\(375\) −289.347 531.690i −0.0398448 0.0732170i
\(376\) 107.919 228.509i 0.0148018 0.0313416i
\(377\) 17285.3i 2.36137i
\(378\) 2174.53 + 1585.39i 0.295889 + 0.215723i
\(379\) 1174.64i 0.159201i 0.996827 + 0.0796005i \(0.0253645\pi\)
−0.996827 + 0.0796005i \(0.974636\pi\)
\(380\) −3801.21 + 5738.64i −0.513153 + 0.774700i
\(381\) −9591.57 241.929i −1.28974 0.0325312i
\(382\) 60.9072 1982.13i 0.00815781 0.265484i
\(383\) −9864.85 + 3590.51i −1.31611 + 0.479025i −0.902210 0.431297i \(-0.858056\pi\)
−0.413900 + 0.910322i \(0.635834\pi\)
\(384\) 4447.90 + 6069.53i 0.591097 + 0.806601i
\(385\) −640.983 3635.20i −0.0848507 0.481212i
\(386\) −2432.12 3086.24i −0.320703 0.406957i
\(387\) 2947.11 367.618i 0.387106 0.0482870i
\(388\) 1851.99 7702.19i 0.242320 1.00778i
\(389\) 1061.48 2916.40i 0.138353 0.380122i −0.851095 0.525012i \(-0.824061\pi\)
0.989448 + 0.144890i \(0.0462830\pi\)
\(390\) 970.412 17330.5i 0.125997 2.25016i
\(391\) 1835.69 2187.69i 0.237430 0.282958i
\(392\) −6482.95 1771.12i −0.835302 0.228201i
\(393\) 7077.60 8015.30i 0.908442 1.02880i
\(394\) −910.005 + 4371.18i −0.116359 + 0.558926i
\(395\) 8663.86 15006.3i 1.10361 1.91151i
\(396\) −7338.10 + 1773.94i −0.931195 + 0.225111i
\(397\) 2861.86 + 4956.88i 0.361795 + 0.626647i 0.988256 0.152806i \(-0.0488308\pi\)
−0.626462 + 0.779452i \(0.715498\pi\)
\(398\) −3098.63 + 1021.17i −0.390253 + 0.128610i
\(399\) 1925.32 289.635i 0.241570 0.0363405i
\(400\) 4530.61 6003.56i 0.566326 0.750445i
\(401\) −9152.93 1613.91i −1.13984 0.200985i −0.428304 0.903635i \(-0.640889\pi\)
−0.711536 + 0.702650i \(0.752000\pi\)
\(402\) 4670.75 10895.1i 0.579492 1.35174i
\(403\) 6643.28 + 7917.16i 0.821155 + 0.978615i
\(404\) 1322.74 + 4471.24i 0.162893 + 0.550625i
\(405\) −10924.9 3087.21i −1.34040 0.378777i
\(406\) 4326.77 626.578i 0.528902 0.0765925i
\(407\) 5850.42 4909.08i 0.712517 0.597873i
\(408\) −421.316 + 3573.05i −0.0511232 + 0.433560i
\(409\) 804.334 4561.60i 0.0972414 0.551484i −0.896796 0.442444i \(-0.854111\pi\)
0.994037 0.109039i \(-0.0347775\pi\)
\(410\) −2547.82 + 1368.42i −0.306898 + 0.164833i
\(411\) −388.418 2581.97i −0.0466161 0.309876i
\(412\) 12280.1 6117.24i 1.46843 0.731492i
\(413\) 2377.00 1372.36i 0.283207 0.163510i
\(414\) 2972.56 6477.75i 0.352882 0.768995i
\(415\) −9503.71 5486.97i −1.12414 0.649023i
\(416\) −12799.2 + 4964.43i −1.50849 + 0.585099i
\(417\) 4779.67 + 4220.51i 0.561299 + 0.495633i
\(418\) −2874.97 + 4644.08i −0.336410 + 0.543419i
\(419\) −697.466 585.244i −0.0813209 0.0682364i 0.601221 0.799083i \(-0.294681\pi\)
−0.682542 + 0.730846i \(0.739126\pi\)
\(420\) −4373.27 + 385.308i −0.508080 + 0.0447646i
\(421\) 2322.92 + 845.472i 0.268912 + 0.0978760i 0.472957 0.881086i \(-0.343187\pi\)
−0.204045 + 0.978962i \(0.565409\pi\)
\(422\) 1957.35 + 781.301i 0.225788 + 0.0901260i
\(423\) 240.475 181.938i 0.0276414 0.0209128i
\(424\) −7659.98 + 10826.5i −0.877362 + 1.24006i
\(425\) 3541.46 624.454i 0.404202 0.0712717i
\(426\) −3533.43 + 15059.1i −0.401867 + 1.71271i
\(427\) −1637.60 4499.28i −0.185595 0.509919i
\(428\) 1292.81 + 11382.3i 0.146006 + 1.28548i
\(429\) 347.292 13768.8i 0.0390848 1.54957i
\(430\) −3226.90 + 3614.16i −0.361895 + 0.405327i
\(431\) −15152.0 −1.69338 −0.846688 0.532089i \(-0.821407\pi\)
−0.846688 + 0.532089i \(0.821407\pi\)
\(432\) 1346.58 + 8877.40i 0.149971 + 0.988690i
\(433\) −3286.95 −0.364806 −0.182403 0.983224i \(-0.558388\pi\)
−0.182403 + 0.983224i \(0.558388\pi\)
\(434\) 1740.98 1949.91i 0.192556 0.215665i
\(435\) −16199.9 + 8816.02i −1.78558 + 0.971715i
\(436\) −796.327 7011.11i −0.0874705 0.770118i
\(437\) −1763.61 4845.48i −0.193055 0.530414i
\(438\) 7193.41 + 6756.22i 0.784736 + 0.737043i
\(439\) 8916.39 1572.20i 0.969376 0.170927i 0.333527 0.942741i \(-0.391761\pi\)
0.635849 + 0.771813i \(0.280650\pi\)
\(440\) 7113.43 10054.1i 0.770726 1.08934i
\(441\) −5875.40 5457.80i −0.634424 0.589332i
\(442\) −6096.10 2433.34i −0.656023 0.261860i
\(443\) −7945.25 2891.84i −0.852123 0.310147i −0.121217 0.992626i \(-0.538680\pi\)
−0.730906 + 0.682479i \(0.760902\pi\)
\(444\) −5214.49 7437.38i −0.557362 0.794960i
\(445\) 10073.5 + 8452.69i 1.07310 + 0.900441i
\(446\) 4547.66 7346.06i 0.482821 0.779924i
\(447\) 16527.7 5547.78i 1.74884 0.587027i
\(448\) 1706.64 + 3023.88i 0.179980 + 0.318895i
\(449\) −3353.90 1936.38i −0.352518 0.203526i 0.313276 0.949662i \(-0.398574\pi\)
−0.665794 + 0.746136i \(0.731907\pi\)
\(450\) 8110.48 3842.51i 0.849626 0.402528i
\(451\) −1987.38 + 1147.42i −0.207499 + 0.119800i
\(452\) 4477.43 2230.40i 0.465930 0.232100i
\(453\) −1106.27 + 881.703i −0.114739 + 0.0914482i
\(454\) 10019.0 5381.16i 1.03572 0.556278i
\(455\) 1390.83 7887.78i 0.143303 0.812714i
\(456\) 5206.77 + 3884.54i 0.534713 + 0.398926i
\(457\) −11470.9 + 9625.24i −1.17415 + 0.985230i −0.174151 + 0.984719i \(0.555718\pi\)
−1.00000 0.000510762i \(0.999837\pi\)
\(458\) 2355.47 341.106i 0.240314 0.0348010i
\(459\) −2421.39 + 3545.02i −0.246233 + 0.360496i
\(460\) 3298.40 + 11149.5i 0.334323 + 1.13011i
\(461\) −2186.52 2605.79i −0.220903 0.263262i 0.644199 0.764858i \(-0.277191\pi\)
−0.865102 + 0.501596i \(0.832746\pi\)
\(462\) −3459.14 + 412.178i −0.348342 + 0.0415070i
\(463\) 7252.05 + 1278.73i 0.727929 + 0.128354i 0.525318 0.850906i \(-0.323946\pi\)
0.202611 + 0.979259i \(0.435057\pi\)
\(464\) 11643.5 + 8786.83i 1.16495 + 0.879135i
\(465\) −4031.75 + 10264.1i −0.402081 + 1.02363i
\(466\) 1294.53 426.619i 0.128686 0.0424093i
\(467\) 3784.73 + 6555.35i 0.375025 + 0.649562i 0.990331 0.138726i \(-0.0443008\pi\)
−0.615306 + 0.788288i \(0.710968\pi\)
\(468\) −16278.7 1828.77i −1.60787 0.180631i
\(469\) 2734.96 4737.08i 0.269272 0.466393i
\(470\) −100.263 + 481.608i −0.00983994 + 0.0472658i
\(471\) 7954.45 + 1610.38i 0.778178 + 0.157542i
\(472\) 8834.10 + 2413.44i 0.861488 + 0.235355i
\(473\) −2471.24 + 2945.11i −0.240228 + 0.286293i
\(474\) −13682.8 8955.43i −1.32589 0.867798i
\(475\) 2220.76 6101.48i 0.214517 0.589379i
\(476\) −388.123 + 1614.16i −0.0373731 + 0.155430i
\(477\) −14086.5 + 7211.60i −1.35215 + 0.692236i
\(478\) 4278.14 + 5428.76i 0.409368 + 0.519468i
\(479\) 223.446 + 1267.23i 0.0213142 + 0.120879i 0.993608 0.112881i \(-0.0360080\pi\)
−0.972294 + 0.233760i \(0.924897\pi\)
\(480\) −11180.7 9463.50i −1.06318 0.899891i
\(481\) 15572.0 5667.76i 1.47614 0.537272i
\(482\) 9.65298 314.142i 0.000912201 0.0296862i
\(483\) 1715.68 2805.79i 0.161628 0.264323i
\(484\) −483.349 + 729.705i −0.0453934 + 0.0685298i
\(485\) 15420.6i 1.44374i
\(486\) −3485.40 + 10131.3i −0.325310 + 0.945607i
\(487\) 4515.57i 0.420164i 0.977684 + 0.210082i \(0.0673731\pi\)
−0.977684 + 0.210082i \(0.932627\pi\)
\(488\) 6822.20 14445.5i 0.632842 1.33999i
\(489\) −4550.85 + 7442.38i −0.420852 + 0.688254i
\(490\) 13076.2 + 401.807i 1.20556 + 0.0370445i
\(491\) −20410.1 + 7428.65i −1.87595 + 0.682791i −0.917315 + 0.398163i \(0.869648\pi\)
−0.958638 + 0.284628i \(0.908130\pi\)
\(492\) 1154.99 + 2472.93i 0.105835 + 0.226602i
\(493\) 1211.09 + 6868.44i 0.110639 + 0.627462i
\(494\) −9308.50 + 7335.59i −0.847792 + 0.668105i
\(495\) 13081.4 6697.05i 1.18781 0.608101i
\(496\) 8710.15 450.360i 0.788502 0.0407697i
\(497\) −2441.18 + 6707.10i −0.220326 + 0.605341i
\(498\) −5671.62 + 8665.52i −0.510344 + 0.779742i
\(499\) 1273.62 1517.84i 0.114259 0.136168i −0.705884 0.708328i \(-0.749450\pi\)
0.820142 + 0.572160i \(0.193894\pi\)
\(500\) 371.916 854.530i 0.0332652 0.0764314i
\(501\) −17787.1 3601.00i −1.58616 0.321120i
\(502\) 7563.04 + 1574.50i 0.672420 + 0.139986i
\(503\) −7085.61 + 12272.6i −0.628095 + 1.08789i 0.359839 + 0.933014i \(0.382832\pi\)
−0.987934 + 0.154878i \(0.950502\pi\)
\(504\) 132.322 + 4141.11i 0.0116946 + 0.365992i
\(505\) −4538.37 7860.68i −0.399910 0.692665i
\(506\) 2887.76 + 8762.56i 0.253708 + 0.769848i
\(507\) 6752.62 17191.0i 0.591507 1.50588i
\(508\) −8782.50 11877.6i −0.767048 1.03737i
\(509\) −7276.85 1283.10i −0.633675 0.111734i −0.152422 0.988316i \(-0.548707\pi\)
−0.481253 + 0.876582i \(0.659818\pi\)
\(510\) −828.658 6954.40i −0.0719482 0.603815i
\(511\) 2927.13 + 3488.42i 0.253402 + 0.301993i
\(512\) −3162.28 + 11145.3i −0.272957 + 0.962026i
\(513\) 3357.29 + 6986.72i 0.288943 + 0.601308i
\(514\) 1010.82 + 6980.13i 0.0867421 + 0.598989i
\(515\) −20458.3 + 17166.6i −1.75049 + 1.46884i
\(516\) 3235.25 + 3231.29i 0.276015 + 0.275678i
\(517\) −67.7832 + 384.417i −0.00576615 + 0.0327015i
\(518\) −1983.21 3692.48i −0.168218 0.313201i
\(519\) −59.4419 + 47.3757i −0.00502738 + 0.00400686i
\(520\) 21965.5 15220.9i 1.85241 1.28362i
\(521\) 18111.0 10456.4i 1.52295 0.879278i 0.523323 0.852135i \(-0.324692\pi\)
0.999632 0.0271432i \(-0.00864102\pi\)
\(522\) 7452.31 + 15729.8i 0.624863 + 1.31891i
\(523\) 8880.14 + 5126.95i 0.742450 + 0.428654i 0.822959 0.568100i \(-0.192321\pi\)
−0.0805093 + 0.996754i \(0.525655\pi\)
\(524\) 16431.7 + 1010.78i 1.36989 + 0.0842677i
\(525\) 3925.98 1317.82i 0.326369 0.109551i
\(526\) −3190.23 1974.95i −0.264450 0.163711i
\(527\) 3194.48 + 2680.48i 0.264049 + 0.221563i
\(528\) −9098.29 7233.22i −0.749909 0.596184i
\(529\) 3248.42 + 1182.33i 0.266986 + 0.0971749i
\(530\) 9570.82 23977.2i 0.784396 1.96510i
\(531\) 8006.21 + 7437.16i 0.654313 + 0.607807i
\(532\) 2173.64 + 2064.15i 0.177141 + 0.168219i
\(533\) −4903.77 + 864.666i −0.398510 + 0.0702680i
\(534\) 8496.19 9045.97i 0.688513 0.733066i
\(535\) −7626.93 20954.8i −0.616339 1.69338i
\(536\) 17651.5 4637.34i 1.42244 0.373699i
\(537\) 322.554 175.535i 0.0259204 0.0141059i
\(538\) −4694.58 4191.55i −0.376204 0.335893i
\(539\) 10380.8 0.829561
\(540\) −6588.72 16189.3i −0.525062 1.29014i
\(541\) −228.632 −0.0181694 −0.00908470 0.999959i \(-0.502892\pi\)
−0.00908470 + 0.999959i \(0.502892\pi\)
\(542\) −10563.5 9431.57i −0.837158 0.747455i
\(543\) −318.517 + 12628.0i −0.0251729 + 0.998012i
\(544\) −4738.03 + 2869.43i −0.373421 + 0.226150i
\(545\) 4697.92 + 12907.4i 0.369241 + 1.01448i
\(546\) −7359.01 1726.71i −0.576807 0.135341i
\(547\) −17219.9 + 3036.33i −1.34601 + 0.237338i −0.799779 0.600295i \(-0.795050\pi\)
−0.546233 + 0.837633i \(0.683939\pi\)
\(548\) 2768.16 2914.98i 0.215784 0.227230i
\(549\) 15201.9 11501.4i 1.18179 0.894113i
\(550\) −4306.89 + 10789.8i −0.333903 + 0.836508i
\(551\) 11833.4 + 4307.02i 0.914922 + 0.333004i
\(552\) 10679.9 2519.70i 0.823488 0.194285i
\(553\) −5780.46 4850.38i −0.444503 0.372982i
\(554\) −14685.8 9091.39i −1.12624 0.697213i
\(555\) 13254.1 + 11703.5i 1.01370 + 0.895112i
\(556\) −602.749 + 9798.52i −0.0459753 + 0.747392i
\(557\) −19806.8 11435.5i −1.50672 0.869904i −0.999970 0.00780969i \(-0.997514\pi\)
−0.506748 0.862094i \(-0.669153\pi\)
\(558\) 9458.84 + 4340.54i 0.717607 + 0.329300i
\(559\) −7224.47 + 4171.05i −0.546623 + 0.315593i
\(560\) −4606.28 4946.57i −0.347591 0.373269i
\(561\) −826.713 5495.49i −0.0622172 0.413582i
\(562\) 6724.29 + 12519.8i 0.504710 + 0.939706i
\(563\) 2696.45 15292.3i 0.201850 1.14475i −0.700470 0.713682i \(-0.747026\pi\)
0.902320 0.431067i \(-0.141863\pi\)
\(564\) 448.513 + 119.885i 0.0334855 + 0.00895045i
\(565\) −7459.31 + 6259.10i −0.555426 + 0.466057i
\(566\) 1810.79 + 12504.2i 0.134476 + 0.928607i
\(567\) −2150.13 + 4451.84i −0.159254 + 0.329735i
\(568\) −21632.3 + 9958.86i −1.59801 + 0.735677i
\(569\) 9914.25 + 11815.3i 0.730451 + 0.870518i 0.995602 0.0936891i \(-0.0298660\pi\)
−0.265150 + 0.964207i \(0.585422\pi\)
\(570\) −11622.6 4982.63i −0.854065 0.366139i
\(571\) 11488.1 + 2025.65i 0.841961 + 0.148461i 0.577963 0.816063i \(-0.303848\pi\)
0.263998 + 0.964523i \(0.414959\pi\)
\(572\) 17050.4 12607.4i 1.24635 0.921576i
\(573\) 3602.60 541.956i 0.262654 0.0395123i
\(574\) 394.198 + 1196.15i 0.0286646 + 0.0869794i
\(575\) −5483.93 9498.44i −0.397731 0.688891i
\(576\) −9507.05 + 10035.9i −0.687721 + 0.725975i
\(577\) 5240.23 9076.34i 0.378082 0.654858i −0.612701 0.790315i \(-0.709917\pi\)
0.990783 + 0.135457i \(0.0432502\pi\)
\(578\) 11011.6 + 2292.42i 0.792423 + 0.164969i
\(579\) 4778.08 5411.11i 0.342953 0.388391i
\(580\) −26036.4 11331.8i −1.86397 0.811253i
\(581\) −3071.83 + 3660.86i −0.219347 + 0.261408i
\(582\) 14530.4 + 813.620i 1.03488 + 0.0579479i
\(583\) 7006.47 19250.1i 0.497733 1.36751i
\(584\) −1398.22 + 15129.4i −0.0990730 + 1.07202i
\(585\) 31642.8 3947.07i 2.23635 0.278960i
\(586\) −8041.04 + 6336.76i −0.566847 + 0.446705i
\(587\) 2213.68 + 12554.4i 0.155653 + 0.882752i 0.958186 + 0.286145i \(0.0923739\pi\)
−0.802533 + 0.596607i \(0.796515\pi\)
\(588\) 1068.53 12300.1i 0.0749414 0.862664i
\(589\) 7075.39 2575.23i 0.494969 0.180154i
\(590\) −17818.5 547.529i −1.24335 0.0382058i
\(591\) −8199.93 206.827i −0.570728 0.0143955i
\(592\) 4098.07 13370.7i 0.284509 0.928261i
\(593\) 24575.8i 1.70187i −0.525274 0.850933i \(-0.676037\pi\)
0.525274 0.850933i \(-0.323963\pi\)
\(594\) −5620.20 12679.5i −0.388215 0.875836i
\(595\) 3231.72i 0.222668i
\(596\) 22377.4 + 14822.6i 1.53794 + 1.01872i
\(597\) −2865.02 5264.62i −0.196411 0.360916i
\(598\) −614.862 + 20009.8i −0.0420461 + 1.36833i
\(599\) −1184.50 + 431.122i −0.0807968 + 0.0294076i −0.382102 0.924120i \(-0.624800\pi\)
0.301306 + 0.953528i \(0.402578\pi\)
\(600\) 12341.4 + 6213.81i 0.839724 + 0.422796i
\(601\) −3094.58 17550.2i −0.210034 1.19116i −0.889319 0.457287i \(-0.848821\pi\)
0.679285 0.733875i \(-0.262290\pi\)
\(602\) 1305.96 + 1657.20i 0.0884170 + 0.112197i
\(603\) 21228.5 + 4857.98i 1.43365 + 0.328080i
\(604\) −2117.63 509.184i −0.142658 0.0343020i
\(605\) 582.742 1601.07i 0.0391601 0.107591i
\(606\) −7646.31 + 3861.61i −0.512558 + 0.258857i
\(607\) −7711.26 + 9189.92i −0.515635 + 0.614510i −0.959543 0.281563i \(-0.909147\pi\)
0.443908 + 0.896072i \(0.353592\pi\)
\(608\) 209.424 + 9999.30i 0.0139692 + 0.666982i
\(609\) 2555.83 + 7614.20i 0.170061 + 0.506639i
\(610\) −6338.23 + 30445.5i −0.420701 + 2.02082i
\(611\) −423.495 + 733.516i −0.0280406 + 0.0485677i
\(612\) −6596.62 + 413.890i −0.435707 + 0.0273375i
\(613\) −1816.37 3146.05i −0.119678 0.207288i 0.799962 0.600050i \(-0.204853\pi\)
−0.919640 + 0.392762i \(0.871519\pi\)
\(614\) −16059.2 + 5292.41i −1.05553 + 0.347857i
\(615\) −3311.45 4154.85i −0.217123 0.272422i
\(616\) −3773.89 3810.97i −0.246842 0.249267i
\(617\) 11618.8 + 2048.71i 0.758112 + 0.133676i 0.539326 0.842097i \(-0.318679\pi\)
0.218786 + 0.975773i \(0.429790\pi\)
\(618\) 15096.1 + 20183.0i 0.982611 + 1.31372i
\(619\) 764.045 + 910.553i 0.0496116 + 0.0591248i 0.790280 0.612746i \(-0.209935\pi\)
−0.740668 + 0.671871i \(0.765491\pi\)
\(620\) −16280.6 + 4816.33i −1.05459 + 0.311981i
\(621\) 12685.9 + 3241.76i 0.819755 + 0.209480i
\(622\) 2729.25 395.235i 0.175937 0.0254783i
\(623\) 4386.81 3680.97i 0.282109 0.236717i
\(624\) −13183.2 21500.5i −0.845757 1.37934i
\(625\) −2865.91 + 16253.4i −0.183418 + 1.04022i
\(626\) −8928.40 + 4795.39i −0.570049 + 0.306170i
\(627\) −9339.57 3668.58i −0.594875 0.233666i
\(628\) 5571.38 + 11184.3i 0.354017 + 0.710671i
\(629\) 5790.57 3343.19i 0.367067 0.211926i
\(630\) −2135.04 7777.61i −0.135019 0.491853i
\(631\) −23193.2 13390.6i −1.46324 0.844803i −0.464082 0.885792i \(-0.653616\pi\)
−0.999160 + 0.0409897i \(0.986949\pi\)
\(632\) −2071.67 25091.6i −0.130390 1.57926i
\(633\) −768.255 + 3794.78i −0.0482392 + 0.238277i
\(634\) 1367.77 2209.42i 0.0856797 0.138403i
\(635\) 22027.9 + 18483.6i 1.37662 + 1.15512i
\(636\) −22088.0 10283.3i −1.37712 0.641134i
\(637\) 21166.3 + 7703.89i 1.31654 + 0.479183i
\(638\) −20926.2 8352.95i −1.29855 0.518333i
\(639\) −28380.5 1432.60i −1.75699 0.0886895i
\(640\) 913.025 22533.7i 0.0563914 1.39175i
\(641\) −6233.71 + 1099.17i −0.384114 + 0.0677296i −0.362371 0.932034i \(-0.618033\pi\)
−0.0217428 + 0.999764i \(0.506921\pi\)
\(642\) −20147.4 + 6080.99i −1.23856 + 0.373828i
\(643\) −10689.1 29368.0i −0.655578 1.80118i −0.596034 0.802959i \(-0.703258\pi\)
−0.0595437 0.998226i \(1.48104\pi\)
\(644\) 5031.05 571.430i 0.307843 0.0349651i
\(645\) −7593.85 4643.47i −0.463578 0.283467i
\(646\) −3184.84 + 3567.05i −0.193972 + 0.217251i
\(647\) −5494.27 −0.333852 −0.166926 0.985969i \(-0.553384\pi\)
−0.166926 + 0.985969i \(0.553384\pi\)
\(648\) −15602.3 + 5354.15i −0.945857 + 0.324585i
\(649\) −14145.6 −0.855567
\(650\) −16789.1 + 18804.0i −1.01311 + 1.13470i
\(651\) 4097.03 + 2505.24i 0.246659 + 0.150827i
\(652\) −13344.9 + 1515.72i −0.801574 + 0.0910433i
\(653\) −9920.55 27256.5i −0.594519 1.63343i −0.762018 0.647556i \(-0.775791\pi\)
0.167499 0.985872i \(-0.446431\pi\)
\(654\) 12410.1 3745.67i 0.742008 0.223956i
\(655\) −31560.0 + 5564.88i −1.88268 + 0.331966i
\(656\) −1910.34 + 3742.78i −0.113699 + 0.222760i
\(657\) −9845.03 + 15224.1i −0.584614 + 0.904030i
\(658\) 198.962 + 79.4182i 0.0117878 + 0.00470523i
\(659\) −519.079 188.929i −0.0306835 0.0111679i 0.326633 0.945151i \(-0.394086\pi\)
−0.357316 + 0.933983i \(0.616308\pi\)
\(660\) 20512.0 + 9549.62i 1.20974 + 0.563210i
\(661\) 7097.15 + 5955.22i 0.417620 + 0.350425i 0.827257 0.561824i \(-0.189900\pi\)
−0.409637 + 0.912249i \(0.634344\pi\)
\(662\) 6133.35 9907.51i 0.360090 0.581671i
\(663\) 2392.70 11818.7i 0.140158 0.692309i
\(664\) −15890.9 + 1312.03i −0.928746 + 0.0766814i
\(665\) −5053.40 2917.58i −0.294680 0.170134i
\(666\) 11727.2 11871.4i 0.682309 0.690702i
\(667\) 18421.6 10635.7i 1.06940 0.617417i
\(668\) −12458.3 25009.3i −0.721594 1.44856i
\(669\) 14773.5 + 5803.00i 0.853774 + 0.335362i
\(670\) −31298.4 + 16810.2i −1.80472 + 0.969303i
\(671\) −4285.00 + 24301.4i −0.246528 + 1.39813i
\(672\) −4904.03 + 4079.35i −0.281513 + 0.234173i
\(673\) 2309.93 1938.26i 0.132305 0.111017i −0.574234 0.818691i \(-0.694700\pi\)
0.706539 + 0.707674i \(0.250256\pi\)
\(674\) 32231.4 4667.57i 1.84200 0.266748i
\(675\) 9613.06 + 13395.1i 0.548158 + 0.763816i
\(676\) 27267.7 8066.68i 1.55142 0.458960i
\(677\) 21776.9 + 25952.7i 1.23627 + 1.47333i 0.828255 + 0.560351i \(0.189334\pi\)
0.408014 + 0.912976i \(0.366222\pi\)
\(678\) 5504.18 + 7358.90i 0.311780 + 0.416839i
\(679\) 6613.34 + 1166.11i 0.373780 + 0.0659075i
\(680\) 7661.73 7587.18i 0.432079 0.427875i
\(681\) 13021.9 + 16338.5i 0.732746 + 0.919371i
\(682\) −12795.1 + 4216.71i −0.718402 + 0.236754i
\(683\) 3463.92 + 5999.68i 0.194060 + 0.336122i 0.946592 0.322434i \(-0.104501\pi\)
−0.752532 + 0.658556i \(0.771168\pi\)
\(684\) −5308.20 + 10688.7i −0.296731 + 0.597504i
\(685\) −3912.65 + 6776.91i −0.218241 + 0.378004i
\(686\) 2502.09 12018.7i 0.139257 0.668916i
\(687\) 1391.38 + 4145.13i 0.0772698 + 0.230199i
\(688\) −862.841 + 6986.80i −0.0478132 + 0.387165i
\(689\) 28572.1 34050.9i 1.57984 1.88278i
\(690\) −19066.9 + 9629.35i −1.05198 + 0.531280i
\(691\) 6429.82 17665.8i 0.353983 0.972559i −0.627095 0.778943i \(-0.715756\pi\)
0.981077 0.193616i \(-0.0620217\pi\)
\(692\) −113.785 27.3595i −0.00625065 0.00150296i
\(693\) −1882.90 6116.55i −0.103211 0.335279i
\(694\) −6094.44 7733.54i −0.333345 0.422999i
\(695\) −3318.44 18819.8i −0.181116 1.02716i
\(696\) −12051.3 + 23935.3i −0.656326 + 1.30354i
\(697\) −1887.97 + 687.164i −0.102600 + 0.0373432i
\(698\) −379.901 + 12363.3i −0.0206010 + 0.670427i
\(699\) 1196.93 + 2199.42i 0.0647668 + 0.119012i
\(700\) 5315.52 + 3520.94i 0.287011 + 0.190113i
\(701\) 11896.3i 0.640966i 0.947254 + 0.320483i \(0.103845\pi\)
−0.947254 + 0.320483i \(0.896155\pi\)
\(702\) −2049.67 30024.2i −0.110199 1.61423i
\(703\) 12072.8i 0.647704i
\(704\) 174.969 17894.2i 0.00936702 0.957973i
\(705\) −903.453 22.7878i −0.0482638 0.00121736i
\(706\) 25694.4 + 789.539i 1.36972 + 0.0420888i
\(707\) −3714.35 + 1351.91i −0.197585 + 0.0719149i
\(708\) −1456.05 + 16760.9i −0.0772908 + 0.889708i
\(709\) −2412.53 13682.1i −0.127792 0.724743i −0.979610 0.200907i \(-0.935611\pi\)
0.851819 0.523837i \(-0.175500\pi\)
\(710\) 36410.9 28693.7i 1.92462 1.51670i
\(711\) 11685.2 27676.6i 0.616356 1.45985i
\(712\) 19025.8 + 1758.31i 1.00143 + 0.0925496i
\(713\) 4349.99 11951.5i 0.228483 0.627752i
\(714\) −3045.14 170.511i −0.159610 0.00893730i
\(715\) −26533.5 + 31621.3i −1.38783 + 1.65395i
\(716\) 518.407 + 225.626i 0.0270584 + 0.0117766i
\(717\) −8404.74 + 9518.27i −0.437769 + 0.495769i
\(718\) −2049.98 426.771i −0.106552 0.0221824i
\(719\) 1290.73 2235.62i 0.0669489 0.115959i −0.830608 0.556858i \(-0.812007\pi\)
0.897557 + 0.440899i \(0.145340\pi\)
\(720\) 13426.6 23321.4i 0.694971 1.20713i
\(721\) 5815.05 + 10072.0i 0.300366 + 0.520249i
\(722\) −3369.71 10225.0i −0.173695 0.527057i
\(723\) 570.963 85.8928i 0.0293698 0.00441824i
\(724\) −15637.7 + 11562.8i −0.802722 + 0.593548i
\(725\) 26378.3 + 4651.21i 1.35126 + 0.238264i
\(726\) −1477.89 633.574i −0.0755505 0.0323886i
\(727\) 9318.65 + 11105.5i 0.475391 + 0.566549i 0.949440 0.313949i \(-0.101652\pi\)
−0.474048 + 0.880499i \(0.657208\pi\)
\(728\) −4866.66 10571.2i −0.247762 0.538180i
\(729\) −19458.1 2966.81i −0.988575 0.150729i
\(730\) −4238.94 29271.6i −0.214918 1.48409i
\(731\) −2578.46 + 2163.58i −0.130462 + 0.109471i
\(732\) 28353.3 + 7578.66i 1.43165 + 0.382671i
\(733\) 1178.48 6683.47i 0.0593833 0.336780i −0.940613 0.339481i \(-0.889749\pi\)
0.999996 + 0.00270109i \(0.000859784\pi\)
\(734\) 13011.1 + 24225.0i 0.654288 + 1.21820i
\(735\) 3575.30 + 23766.4i 0.179425 + 1.19271i
\(736\) 13166.2 + 10586.0i 0.659394 + 0.530169i
\(737\) −24413.7 + 14095.3i −1.22021 + 0.704486i
\(738\) −4089.69 + 2901.05i −0.203989 + 0.144701i
\(739\) 26220.5 + 15138.4i 1.30519 + 0.753552i 0.981289 0.192538i \(-0.0616720\pi\)
0.323902 + 0.946091i \(0.395005\pi\)
\(740\) −1671.43 + 27171.5i −0.0830312 + 1.34979i
\(741\) −16320.6 14411.3i −0.809114 0.714457i
\(742\) −9559.20 5917.73i −0.472951 0.292785i
\(743\) −5676.79 4763.40i −0.280298 0.235198i 0.491790 0.870714i \(-0.336343\pi\)
−0.772088 + 0.635516i \(0.780787\pi\)
\(744\) 3679.27 + 15594.8i 0.181302 + 0.768458i
\(745\) −49099.1 17870.6i −2.41456 0.878830i
\(746\) 4166.69 10438.6i 0.204495 0.512311i
\(747\) −17528.0 7400.42i −0.858523 0.362473i
\(748\) 5891.77 6204.28i 0.288001 0.303277i
\(749\) −9563.49 + 1686.30i −0.466545 + 0.0822645i
\(750\) 1666.84 + 391.105i 0.0811527 + 0.0190415i
\(751\) 10556.7 + 29004.3i 0.512942 + 1.40930i 0.878157 + 0.478372i \(0.158773\pi\)
−0.365215 + 0.930923i \(0.619005\pi\)
\(752\) 278.823 + 658.148i 0.0135208 + 0.0319151i
\(753\) −357.854 + 14187.6i −0.0173186 + 0.686619i
\(754\) −36469.1 32561.4i −1.76144 1.57270i
\(755\) 4239.74 0.204371