Properties

Label 637.2.bl.b.53.22
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.22
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.22

$q$-expansion

\(f(q)\) \(=\) \(q+(1.46759 + 1.00059i) q^{2} +(-0.670565 - 0.622193i) q^{3} +(0.421973 + 1.07517i) q^{4} +(-3.65935 + 1.12876i) q^{5} +(-0.361558 - 1.58409i) q^{6} +(2.44101 - 1.02053i) q^{7} +(0.333981 - 1.46327i) q^{8} +(-0.161658 - 2.15717i) q^{9} +O(q^{10})\) \(q+(1.46759 + 1.00059i) q^{2} +(-0.670565 - 0.622193i) q^{3} +(0.421973 + 1.07517i) q^{4} +(-3.65935 + 1.12876i) q^{5} +(-0.361558 - 1.58409i) q^{6} +(2.44101 - 1.02053i) q^{7} +(0.333981 - 1.46327i) q^{8} +(-0.161658 - 2.15717i) q^{9} +(-6.49987 - 2.00494i) q^{10} +(0.0318729 - 0.425314i) q^{11} +(0.386003 - 0.983520i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(4.60354 + 0.944727i) q^{14} +(3.15614 + 1.51992i) q^{15} +(3.64765 - 3.38452i) q^{16} +(3.25629 - 0.490807i) q^{17} +(1.92119 - 3.32760i) q^{18} +(-3.69716 - 6.40367i) q^{19} +(-2.75776 - 3.45812i) q^{20} +(-2.27182 - 0.834450i) q^{21} +(0.472341 - 0.592297i) q^{22} +(2.14315 + 0.323027i) q^{23} +(-1.13439 + 0.773415i) q^{24} +(7.98555 - 5.44446i) q^{25} +(-1.75640 - 0.264734i) q^{26} +(-2.94480 + 3.69266i) q^{27} +(2.12728 + 2.19386i) q^{28} +(-5.11394 - 6.41268i) q^{29} +(3.11112 + 5.38862i) q^{30} +(5.20193 - 9.01000i) q^{31} +(5.77151 - 0.869915i) q^{32} +(-0.286000 + 0.265369i) q^{33} +(5.27001 + 2.53790i) q^{34} +(-7.78058 + 6.48978i) q^{35} +(2.25111 - 1.08408i) q^{36} +(-2.40867 + 6.13719i) q^{37} +(0.981508 - 13.0973i) q^{38} +(0.874118 + 0.269630i) q^{39} +(0.429524 + 5.73159i) q^{40} +(-2.34361 + 10.2680i) q^{41} +(-2.49917 - 3.49779i) q^{42} +(0.221121 + 0.968795i) q^{43} +(0.470734 - 0.145202i) q^{44} +(3.02649 + 7.71137i) q^{45} +(2.82205 + 2.61848i) q^{46} +(-0.101886 - 0.0694649i) q^{47} -4.55181 q^{48} +(4.91705 - 4.98223i) q^{49} +17.1672 q^{50} +(-2.48893 - 1.69692i) q^{51} +(-0.846683 - 0.785607i) q^{52} +(2.41309 + 6.14845i) q^{53} +(-8.01661 + 2.47280i) q^{54} +(0.363443 + 1.59235i) q^{55} +(-0.678053 - 3.91269i) q^{56} +(-1.50513 + 6.59442i) q^{57} +(-1.08874 - 14.5282i) q^{58} +(-7.16946 - 2.21148i) q^{59} +(-0.302363 + 4.03475i) q^{60} +(-3.28680 + 8.37463i) q^{61} +(16.6496 - 8.01804i) q^{62} +(-2.59606 - 5.10069i) q^{63} +(0.374270 + 0.180239i) q^{64} +(2.80721 - 2.60471i) q^{65} +(-0.685258 + 0.103286i) q^{66} +(5.47285 - 9.47925i) q^{67} +(1.90177 + 3.29396i) q^{68} +(-1.23613 - 1.55006i) q^{69} +(-17.9123 + 1.73921i) q^{70} +(0.132786 - 0.166508i) q^{71} +(-3.21051 - 0.483906i) q^{72} +(-3.73720 + 2.54798i) q^{73} +(-9.67575 + 6.59681i) q^{74} +(-8.74234 - 1.31770i) q^{75} +(5.32493 - 6.67725i) q^{76} +(-0.356242 - 1.07072i) q^{77} +(1.01306 + 1.27034i) q^{78} +(-0.506776 - 0.877761i) q^{79} +(-9.52770 + 16.5025i) q^{80} +(-2.14494 + 0.323298i) q^{81} +(-13.7136 + 12.7243i) q^{82} +(9.97761 + 4.80496i) q^{83} +(-0.0614717 - 2.79471i) q^{84} +(-11.3619 + 5.47160i) q^{85} +(-0.644849 + 1.64305i) q^{86} +(-0.560697 + 7.48198i) q^{87} +(-0.611703 - 0.188685i) q^{88} +(-0.587651 - 7.84165i) q^{89} +(-3.27425 + 14.3454i) q^{90} +(-1.75648 + 1.97858i) q^{91} +(0.557041 + 2.44055i) q^{92} +(-9.09419 + 2.80519i) q^{93} +(-0.0800219 - 0.203893i) q^{94} +(20.7574 + 19.2601i) q^{95} +(-4.41143 - 3.00766i) q^{96} -11.9861 q^{97} +(12.2014 - 2.39195i) q^{98} -0.922627 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.46759 + 1.00059i 1.03775 + 0.707523i 0.957259 0.289232i \(-0.0934000\pi\)
0.0804871 + 0.996756i \(0.474352\pi\)
\(3\) −0.670565 0.622193i −0.387151 0.359223i 0.462454 0.886643i \(-0.346969\pi\)
−0.849605 + 0.527420i \(0.823160\pi\)
\(4\) 0.421973 + 1.07517i 0.210987 + 0.537585i
\(5\) −3.65935 + 1.12876i −1.63651 + 0.504797i −0.970491 0.241137i \(-0.922480\pi\)
−0.666020 + 0.745934i \(0.732004\pi\)
\(6\) −0.361558 1.58409i −0.147605 0.646701i
\(7\) 2.44101 1.02053i 0.922615 0.385723i
\(8\) 0.333981 1.46327i 0.118080 0.517343i
\(9\) −0.161658 2.15717i −0.0538858 0.719057i
\(10\) −6.49987 2.00494i −2.05544 0.634019i
\(11\) 0.0318729 0.425314i 0.00961003 0.128237i −0.990335 0.138694i \(-0.955710\pi\)
0.999945 + 0.0104570i \(0.00332862\pi\)
\(12\) 0.386003 0.983520i 0.111430 0.283918i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) 4.60354 + 0.944727i 1.23035 + 0.252489i
\(15\) 3.15614 + 1.51992i 0.814911 + 0.392441i
\(16\) 3.64765 3.38452i 0.911911 0.846130i
\(17\) 3.25629 0.490807i 0.789766 0.119038i 0.258241 0.966081i \(-0.416857\pi\)
0.531525 + 0.847042i \(0.321619\pi\)
\(18\) 1.92119 3.32760i 0.452829 0.784324i
\(19\) −3.69716 6.40367i −0.848186 1.46910i −0.882825 0.469702i \(-0.844361\pi\)
0.0346389 0.999400i \(-0.488972\pi\)
\(20\) −2.75776 3.45812i −0.616653 0.773259i
\(21\) −2.27182 0.834450i −0.495752 0.182092i
\(22\) 0.472341 0.592297i 0.100703 0.126278i
\(23\) 2.14315 + 0.323027i 0.446877 + 0.0673558i 0.368626 0.929578i \(-0.379828\pi\)
0.0782509 + 0.996934i \(0.475066\pi\)
\(24\) −1.13439 + 0.773415i −0.231557 + 0.157873i
\(25\) 7.98555 5.44446i 1.59711 1.08889i
\(26\) −1.75640 0.264734i −0.344458 0.0519186i
\(27\) −2.94480 + 3.69266i −0.566727 + 0.710653i
\(28\) 2.12728 + 2.19386i 0.402018 + 0.414601i
\(29\) −5.11394 6.41268i −0.949635 1.19080i −0.981529 0.191313i \(-0.938725\pi\)
0.0318941 0.999491i \(-0.489846\pi\)
\(30\) 3.11112 + 5.38862i 0.568010 + 0.983823i
\(31\) 5.20193 9.01000i 0.934294 1.61824i 0.158406 0.987374i \(-0.449365\pi\)
0.775888 0.630870i \(-0.217302\pi\)
\(32\) 5.77151 0.869915i 1.02027 0.153781i
\(33\) −0.286000 + 0.265369i −0.0497863 + 0.0461949i
\(34\) 5.27001 + 2.53790i 0.903799 + 0.435247i
\(35\) −7.78058 + 6.48978i −1.31516 + 1.09697i
\(36\) 2.25111 1.08408i 0.375185 0.180679i
\(37\) −2.40867 + 6.13719i −0.395983 + 1.00895i 0.584334 + 0.811514i \(0.301356\pi\)
−0.980316 + 0.197434i \(0.936739\pi\)
\(38\) 0.981508 13.0973i 0.159222 2.12467i
\(39\) 0.874118 + 0.269630i 0.139971 + 0.0431753i
\(40\) 0.429524 + 5.73159i 0.0679136 + 0.906244i
\(41\) −2.34361 + 10.2680i −0.366011 + 1.60360i 0.371613 + 0.928388i \(0.378805\pi\)
−0.737624 + 0.675211i \(0.764052\pi\)
\(42\) −2.49917 3.49779i −0.385630 0.539721i
\(43\) 0.221121 + 0.968795i 0.0337207 + 0.147740i 0.988986 0.148011i \(-0.0472872\pi\)
−0.955265 + 0.295751i \(0.904430\pi\)
\(44\) 0.470734 0.145202i 0.0709659 0.0218901i
\(45\) 3.02649 + 7.71137i 0.451162 + 1.14954i
\(46\) 2.82205 + 2.61848i 0.416089 + 0.386074i
\(47\) −0.101886 0.0694649i −0.0148616 0.0101325i 0.555866 0.831272i \(-0.312387\pi\)
−0.570728 + 0.821139i \(0.693339\pi\)
\(48\) −4.55181 −0.656997
\(49\) 4.91705 4.98223i 0.702436 0.711747i
\(50\) 17.1672 2.42781
\(51\) −2.48893 1.69692i −0.348520 0.237617i
\(52\) −0.846683 0.785607i −0.117414 0.108944i
\(53\) 2.41309 + 6.14845i 0.331463 + 0.844555i 0.995315 + 0.0966899i \(0.0308255\pi\)
−0.663851 + 0.747865i \(0.731079\pi\)
\(54\) −8.01661 + 2.47280i −1.09092 + 0.336505i
\(55\) 0.363443 + 1.59235i 0.0490067 + 0.214712i
\(56\) −0.678053 3.91269i −0.0906086 0.522855i
\(57\) −1.50513 + 6.59442i −0.199360 + 0.873452i
\(58\) −1.08874 14.5282i −0.142958 1.90764i
\(59\) −7.16946 2.21148i −0.933384 0.287911i −0.209481 0.977813i \(-0.567177\pi\)
−0.723903 + 0.689902i \(0.757654\pi\)
\(60\) −0.302363 + 4.03475i −0.0390349 + 0.520884i
\(61\) −3.28680 + 8.37463i −0.420832 + 1.07226i 0.550564 + 0.834793i \(0.314413\pi\)
−0.971395 + 0.237468i \(0.923682\pi\)
\(62\) 16.6496 8.01804i 2.11451 1.01829i
\(63\) −2.59606 5.10069i −0.327073 0.642627i
\(64\) 0.374270 + 0.180239i 0.0467838 + 0.0225299i
\(65\) 2.80721 2.60471i 0.348192 0.323075i
\(66\) −0.685258 + 0.103286i −0.0843494 + 0.0127136i
\(67\) 5.47285 9.47925i 0.668615 1.15807i −0.309677 0.950842i \(-0.600221\pi\)
0.978292 0.207233i \(-0.0664458\pi\)
\(68\) 1.90177 + 3.29396i 0.230623 + 0.399451i
\(69\) −1.23613 1.55006i −0.148813 0.186605i
\(70\) −17.9123 + 1.73921i −2.14093 + 0.207875i
\(71\) 0.132786 0.166508i 0.0157588 0.0197609i −0.773890 0.633320i \(-0.781692\pi\)
0.789648 + 0.613560i \(0.210263\pi\)
\(72\) −3.21051 0.483906i −0.378362 0.0570289i
\(73\) −3.73720 + 2.54798i −0.437406 + 0.298218i −0.761930 0.647659i \(-0.775748\pi\)
0.324524 + 0.945877i \(0.394796\pi\)
\(74\) −9.67575 + 6.59681i −1.12478 + 0.766864i
\(75\) −8.74234 1.31770i −1.00948 0.152154i
\(76\) 5.32493 6.67725i 0.610811 0.765933i
\(77\) −0.356242 1.07072i −0.0405976 0.122020i
\(78\) 1.01306 + 1.27034i 0.114707 + 0.143838i
\(79\) −0.506776 0.877761i −0.0570167 0.0987558i 0.836108 0.548565i \(-0.184825\pi\)
−0.893125 + 0.449809i \(0.851492\pi\)
\(80\) −9.52770 + 16.5025i −1.06523 + 1.84503i
\(81\) −2.14494 + 0.323298i −0.238327 + 0.0359220i
\(82\) −13.7136 + 12.7243i −1.51441 + 1.40517i
\(83\) 9.97761 + 4.80496i 1.09518 + 0.527413i 0.892141 0.451757i \(-0.149202\pi\)
0.203043 + 0.979170i \(0.434917\pi\)
\(84\) −0.0614717 2.79471i −0.00670712 0.304928i
\(85\) −11.3619 + 5.47160i −1.23237 + 0.593479i
\(86\) −0.644849 + 1.64305i −0.0695359 + 0.177175i
\(87\) −0.560697 + 7.48198i −0.0601130 + 0.802152i
\(88\) −0.611703 0.188685i −0.0652078 0.0201139i
\(89\) −0.587651 7.84165i −0.0622908 0.831214i −0.937615 0.347676i \(-0.886971\pi\)
0.875324 0.483537i \(-0.160648\pi\)
\(90\) −3.27425 + 14.3454i −0.345136 + 1.51214i
\(91\) −1.75648 + 1.97858i −0.184129 + 0.207411i
\(92\) 0.557041 + 2.44055i 0.0580755 + 0.254445i
\(93\) −9.09419 + 2.80519i −0.943024 + 0.290884i
\(94\) −0.0800219 0.203893i −0.00825363 0.0210299i
\(95\) 20.7574 + 19.2601i 2.12966 + 1.97604i
\(96\) −4.41143 3.00766i −0.450239 0.306968i
\(97\) −11.9861 −1.21700 −0.608502 0.793552i \(-0.708229\pi\)
−0.608502 + 0.793552i \(0.708229\pi\)
\(98\) 12.2014 2.39195i 1.23253 0.241624i
\(99\) −0.922627 −0.0927275
\(100\) 9.22341 + 6.28841i 0.922341 + 0.628841i
\(101\) 0.244060 + 0.226454i 0.0242848 + 0.0225330i 0.692222 0.721685i \(-0.256632\pi\)
−0.667937 + 0.744218i \(0.732822\pi\)
\(102\) −1.95482 4.98079i −0.193556 0.493172i
\(103\) 8.41294 2.59505i 0.828951 0.255698i 0.148891 0.988854i \(-0.452430\pi\)
0.680060 + 0.733156i \(0.261954\pi\)
\(104\) 0.333981 + 1.46327i 0.0327496 + 0.143485i
\(105\) 9.25528 + 0.489204i 0.903223 + 0.0477414i
\(106\) −2.61064 + 11.4379i −0.253567 + 1.11095i
\(107\) 0.835337 + 11.1468i 0.0807551 + 1.07760i 0.879489 + 0.475918i \(0.157884\pi\)
−0.798734 + 0.601684i \(0.794497\pi\)
\(108\) −5.21287 1.60796i −0.501608 0.154726i
\(109\) 0.865838 11.5538i 0.0829322 1.10665i −0.788139 0.615497i \(-0.788955\pi\)
0.871071 0.491157i \(-0.163426\pi\)
\(110\) −1.05990 + 2.70058i −0.101057 + 0.257490i
\(111\) 5.43368 2.61672i 0.515743 0.248369i
\(112\) 5.44994 11.9842i 0.514971 1.13240i
\(113\) 2.31494 + 1.11482i 0.217772 + 0.104873i 0.539589 0.841928i \(-0.318580\pi\)
−0.321818 + 0.946802i \(0.604294\pi\)
\(114\) −8.80723 + 8.17191i −0.824873 + 0.765370i
\(115\) −8.20714 + 1.23703i −0.765320 + 0.115353i
\(116\) 4.73677 8.20433i 0.439798 0.761753i
\(117\) 1.08161 + 1.87340i 0.0999948 + 0.173196i
\(118\) −8.30907 10.4192i −0.764912 0.959169i
\(119\) 7.44775 4.52120i 0.682734 0.414457i
\(120\) 3.27813 4.11065i 0.299251 0.375249i
\(121\) 10.6973 + 1.61235i 0.972478 + 0.146578i
\(122\) −13.2033 + 9.00183i −1.19537 + 0.814987i
\(123\) 7.96025 5.42721i 0.717752 0.489355i
\(124\) 11.8824 + 1.79098i 1.06707 + 0.160835i
\(125\) −11.1382 + 13.9669i −0.996234 + 1.24924i
\(126\) 1.29374 10.0833i 0.115255 0.898295i
\(127\) 0.489289 + 0.613549i 0.0434174 + 0.0544437i 0.803066 0.595890i \(-0.203201\pi\)
−0.759649 + 0.650334i \(0.774629\pi\)
\(128\) −5.46777 9.47045i −0.483287 0.837078i
\(129\) 0.454502 0.787220i 0.0400166 0.0693108i
\(130\) 6.72609 1.01380i 0.589917 0.0889157i
\(131\) 8.29978 7.70107i 0.725155 0.672846i −0.228569 0.973528i \(-0.573405\pi\)
0.953725 + 0.300682i \(0.0972142\pi\)
\(132\) −0.406002 0.195520i −0.0353379 0.0170178i
\(133\) −15.5599 11.8584i −1.34922 1.02825i
\(134\) 17.5168 8.43562i 1.51322 0.728727i
\(135\) 6.60793 16.8367i 0.568720 1.44907i
\(136\) 0.369358 4.92874i 0.0316722 0.422636i
\(137\) 10.9713 + 3.38418i 0.937337 + 0.289130i 0.725537 0.688183i \(-0.241591\pi\)
0.211800 + 0.977313i \(0.432067\pi\)
\(138\) −0.263167 3.51172i −0.0224023 0.298938i
\(139\) 2.00129 8.76821i 0.169747 0.743710i −0.816353 0.577554i \(-0.804007\pi\)
0.986099 0.166156i \(-0.0531355\pi\)
\(140\) −10.2608 5.62693i −0.867197 0.475562i
\(141\) 0.0251008 + 0.109974i 0.00211387 + 0.00926145i
\(142\) 0.361482 0.111503i 0.0303349 0.00935708i
\(143\) 0.155820 + 0.397024i 0.0130303 + 0.0332008i
\(144\) −7.89065 7.32146i −0.657554 0.610121i
\(145\) 25.9521 + 17.6938i 2.15520 + 1.46939i
\(146\) −8.03417 −0.664913
\(147\) −6.39711 + 0.281555i −0.527625 + 0.0232223i
\(148\) −7.61491 −0.625942
\(149\) 6.33764 + 4.32093i 0.519200 + 0.353985i 0.794393 0.607405i \(-0.207789\pi\)
−0.275193 + 0.961389i \(0.588742\pi\)
\(150\) −11.5117 10.6813i −0.939929 0.872127i
\(151\) 2.90215 + 7.39457i 0.236174 + 0.601762i 0.998994 0.0448496i \(-0.0142809\pi\)
−0.762820 + 0.646611i \(0.776186\pi\)
\(152\) −10.6051 + 3.27123i −0.860184 + 0.265332i
\(153\) −1.58516 6.94503i −0.128152 0.561472i
\(154\) 0.548533 1.92784i 0.0442021 0.155350i
\(155\) −8.86555 + 38.8425i −0.712098 + 3.11990i
\(156\) 0.0789565 + 1.05360i 0.00632158 + 0.0843556i
\(157\) 12.4389 + 3.83689i 0.992732 + 0.306217i 0.748236 0.663433i \(-0.230901\pi\)
0.244496 + 0.969650i \(0.421377\pi\)
\(158\) 0.134537 1.79527i 0.0107032 0.142824i
\(159\) 2.20739 5.62434i 0.175058 0.446039i
\(160\) −20.1380 + 9.69797i −1.59205 + 0.766692i
\(161\) 5.56109 1.39863i 0.438276 0.110227i
\(162\) −3.47139 1.67173i −0.272738 0.131344i
\(163\) −8.39720 + 7.79146i −0.657719 + 0.610274i −0.936746 0.350009i \(-0.886179\pi\)
0.279027 + 0.960283i \(0.409988\pi\)
\(164\) −12.0288 + 1.81306i −0.939294 + 0.141576i
\(165\) 0.747037 1.29391i 0.0581567 0.100730i
\(166\) 9.83529 + 17.0352i 0.763366 + 1.32219i
\(167\) 6.11365 + 7.66627i 0.473088 + 0.593234i 0.959924 0.280259i \(-0.0904205\pi\)
−0.486836 + 0.873493i \(0.661849\pi\)
\(168\) −1.97977 + 3.04559i −0.152742 + 0.234972i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −22.1495 3.33850i −1.69879 0.256051i
\(171\) −13.2161 + 9.01060i −1.01066 + 0.689058i
\(172\) −0.948312 + 0.646548i −0.0723081 + 0.0492988i
\(173\) 5.94456 + 0.895998i 0.451956 + 0.0681215i 0.371076 0.928602i \(-0.378989\pi\)
0.0808801 + 0.996724i \(0.474227\pi\)
\(174\) −8.30926 + 10.4195i −0.629923 + 0.789899i
\(175\) 13.9366 21.4394i 1.05351 1.62067i
\(176\) −1.32322 1.65927i −0.0997416 0.125072i
\(177\) 3.43162 + 5.94373i 0.257936 + 0.446758i
\(178\) 6.98384 12.0964i 0.523461 0.906661i
\(179\) −3.76702 + 0.567787i −0.281560 + 0.0424384i −0.288304 0.957539i \(-0.593091\pi\)
0.00674385 + 0.999977i \(0.497853\pi\)
\(180\) −7.01393 + 6.50798i −0.522788 + 0.485076i
\(181\) 22.3647 + 10.7703i 1.66235 + 0.800547i 0.998617 + 0.0525813i \(0.0167449\pi\)
0.663737 + 0.747966i \(0.268969\pi\)
\(182\) −4.55755 + 1.14623i −0.337828 + 0.0849643i
\(183\) 7.41465 3.57071i 0.548107 0.263954i
\(184\) 1.18845 3.02811i 0.0876134 0.223235i
\(185\) 1.88675 25.1769i 0.138717 1.85104i
\(186\) −16.1534 4.98267i −1.18443 0.365347i
\(187\) −0.104960 1.40059i −0.00767541 0.102421i
\(188\) 0.0316933 0.138857i 0.00231147 0.0101272i
\(189\) −3.41982 + 12.0191i −0.248755 + 0.874259i
\(190\) 11.1920 + 49.0356i 0.811957 + 3.55741i
\(191\) −3.82331 + 1.17934i −0.276645 + 0.0853337i −0.429973 0.902842i \(-0.641477\pi\)
0.153328 + 0.988175i \(0.451001\pi\)
\(192\) −0.138829 0.353731i −0.0100191 0.0255283i
\(193\) −19.3697 17.9725i −1.39426 1.29369i −0.907436 0.420190i \(-0.861963\pi\)
−0.486828 0.873498i \(-0.661846\pi\)
\(194\) −17.5907 11.9932i −1.26294 0.861058i
\(195\) −3.50305 −0.250859
\(196\) 7.43161 + 3.18430i 0.530829 + 0.227450i
\(197\) −2.93745 −0.209284 −0.104642 0.994510i \(-0.533370\pi\)
−0.104642 + 0.994510i \(0.533370\pi\)
\(198\) −1.35404 0.923170i −0.0962276 0.0656068i
\(199\) 2.11645 + 1.96378i 0.150031 + 0.139209i 0.751618 0.659599i \(-0.229274\pi\)
−0.601586 + 0.798808i \(0.705464\pi\)
\(200\) −5.29967 13.5033i −0.374743 0.954831i
\(201\) −9.56782 + 2.95128i −0.674862 + 0.208167i
\(202\) 0.131593 + 0.576547i 0.00925885 + 0.0405657i
\(203\) −19.0275 10.4345i −1.33547 0.732358i
\(204\) 0.774220 3.39208i 0.0542062 0.237493i
\(205\) −3.01405 40.2198i −0.210511 2.80907i
\(206\) 14.9434 + 4.60941i 1.04115 + 0.321153i
\(207\) 0.350369 4.67535i 0.0243523 0.324959i
\(208\) −1.81793 + 4.63200i −0.126051 + 0.321171i
\(209\) −2.84141 + 1.36835i −0.196544 + 0.0946507i
\(210\) 13.0935 + 9.97868i 0.903538 + 0.688594i
\(211\) 9.25907 + 4.45893i 0.637420 + 0.306965i 0.724540 0.689232i \(-0.242052\pi\)
−0.0871200 + 0.996198i \(0.527766\pi\)
\(212\) −5.59237 + 5.18896i −0.384086 + 0.356379i
\(213\) −0.192642 + 0.0290361i −0.0131996 + 0.00198952i
\(214\) −9.92743 + 17.1948i −0.678625 + 1.17541i
\(215\) −1.90270 3.29557i −0.129763 0.224756i
\(216\) 4.41985 + 5.54231i 0.300732 + 0.377107i
\(217\) 3.50300 27.3022i 0.237799 1.85339i
\(218\) 12.8313 16.0900i 0.869046 1.08975i
\(219\) 4.09137 + 0.616675i 0.276469 + 0.0416710i
\(220\) −1.55868 + 1.06269i −0.105086 + 0.0716467i
\(221\) −2.72086 + 1.85505i −0.183025 + 0.124784i
\(222\) 10.5927 + 1.59659i 0.710936 + 0.107156i
\(223\) −8.66239 + 10.8623i −0.580076 + 0.727393i −0.982126 0.188225i \(-0.939727\pi\)
0.402050 + 0.915618i \(0.368298\pi\)
\(224\) 13.2005 8.01345i 0.881998 0.535421i
\(225\) −13.0355 16.3461i −0.869036 1.08974i
\(226\) 2.28192 + 3.95241i 0.151791 + 0.262910i
\(227\) 5.77905 10.0096i 0.383569 0.664361i −0.608000 0.793937i \(-0.708028\pi\)
0.991570 + 0.129575i \(0.0413614\pi\)
\(228\) −7.72525 + 1.16439i −0.511617 + 0.0771139i
\(229\) 3.79415 3.52046i 0.250725 0.232638i −0.544791 0.838572i \(-0.683391\pi\)
0.795515 + 0.605934i \(0.207200\pi\)
\(230\) −13.2825 6.39652i −0.875823 0.421774i
\(231\) −0.427312 + 0.939640i −0.0281151 + 0.0618238i
\(232\) −11.0914 + 5.34135i −0.728188 + 0.350677i
\(233\) −3.97674 + 10.1326i −0.260525 + 0.663806i −0.999956 0.00942649i \(-0.996999\pi\)
0.739431 + 0.673232i \(0.235095\pi\)
\(234\) −0.287142 + 3.83164i −0.0187710 + 0.250482i
\(235\) 0.451247 + 0.139191i 0.0294361 + 0.00907983i
\(236\) −0.647596 8.64157i −0.0421549 0.562519i
\(237\) −0.206311 + 0.903908i −0.0134013 + 0.0587151i
\(238\) 15.4541 + 0.816855i 1.00174 + 0.0529489i
\(239\) 4.38075 + 19.1933i 0.283367 + 1.24151i 0.893445 + 0.449172i \(0.148281\pi\)
−0.610078 + 0.792341i \(0.708862\pi\)
\(240\) 16.6567 5.13790i 1.07518 0.331650i
\(241\) −5.39291 13.7409i −0.347388 0.885130i −0.992634 0.121155i \(-0.961340\pi\)
0.645245 0.763975i \(-0.276755\pi\)
\(242\) 14.0859 + 13.0698i 0.905479 + 0.840161i
\(243\) 13.3467 + 9.09962i 0.856190 + 0.583741i
\(244\) −10.3911 −0.665222
\(245\) −12.3695 + 23.7819i −0.790256 + 1.51937i
\(246\) 17.1128 1.09107
\(247\) 6.10947 + 4.16537i 0.388736 + 0.265036i
\(248\) −11.4467 10.6210i −0.726866 0.674433i
\(249\) −3.70102 9.43004i −0.234542 0.597604i
\(250\) −30.3215 + 9.35295i −1.91770 + 0.591533i
\(251\) −5.19929 22.7796i −0.328176 1.43784i −0.822603 0.568616i \(-0.807479\pi\)
0.494427 0.869219i \(-0.335378\pi\)
\(252\) 4.38865 4.94356i 0.276459 0.311415i
\(253\) 0.205696 0.901214i 0.0129320 0.0566588i
\(254\) 0.104168 + 1.39002i 0.00653605 + 0.0872176i
\(255\) 11.0233 + 3.40023i 0.690305 + 0.212931i
\(256\) 1.51365 20.1983i 0.0946032 1.26239i
\(257\) 4.06048 10.3459i 0.253286 0.645361i −0.746514 0.665369i \(-0.768274\pi\)
0.999800 + 0.0200084i \(0.00636930\pi\)
\(258\) 1.45471 0.700550i 0.0905661 0.0436143i
\(259\) 0.383585 + 17.4390i 0.0238348 + 1.08361i
\(260\) 3.98507 + 1.91911i 0.247144 + 0.119018i
\(261\) −13.0065 + 12.0683i −0.805084 + 0.747009i
\(262\) 19.8863 2.99738i 1.22858 0.185179i
\(263\) −12.2699 + 21.2521i −0.756595 + 1.31046i 0.187983 + 0.982172i \(0.439805\pi\)
−0.944578 + 0.328288i \(0.893528\pi\)
\(264\) 0.292788 + 0.507123i 0.0180198 + 0.0312113i
\(265\) −15.7705 19.7755i −0.968772 1.21480i
\(266\) −10.9703 32.9723i −0.672632 2.02166i
\(267\) −4.48497 + 5.62397i −0.274475 + 0.344181i
\(268\) 12.5012 + 1.88425i 0.763632 + 0.115099i
\(269\) 22.4895 15.3331i 1.37121 0.934876i 0.371232 0.928540i \(-0.378935\pi\)
0.999980 0.00633636i \(-0.00201694\pi\)
\(270\) 26.5444 18.0977i 1.61544 1.10139i
\(271\) 30.2806 + 4.56407i 1.83942 + 0.277248i 0.974454 0.224586i \(-0.0721031\pi\)
0.864964 + 0.501834i \(0.167341\pi\)
\(272\) 10.2166 12.8113i 0.619475 0.776797i
\(273\) 2.40889 0.233893i 0.145793 0.0141558i
\(274\) 12.7152 + 15.9443i 0.768152 + 0.963232i
\(275\) −2.06108 3.56990i −0.124288 0.215273i
\(276\) 1.14496 1.98314i 0.0689188 0.119371i
\(277\) 26.6750 4.02061i 1.60275 0.241575i 0.714059 0.700086i \(-0.246855\pi\)
0.888689 + 0.458511i \(0.151617\pi\)
\(278\) 11.7105 10.8657i 0.702346 0.651682i
\(279\) −20.2770 9.76491i −1.21395 0.584610i
\(280\) 6.89772 + 13.5525i 0.412217 + 0.809919i
\(281\) −6.67879 + 3.21634i −0.398423 + 0.191871i −0.622356 0.782734i \(-0.713825\pi\)
0.223933 + 0.974605i \(0.428110\pi\)
\(282\) −0.0732007 + 0.186512i −0.00435904 + 0.0111066i
\(283\) 0.912456 12.1759i 0.0542399 0.723781i −0.902101 0.431526i \(-0.857975\pi\)
0.956340 0.292255i \(-0.0944055\pi\)
\(284\) 0.235057 + 0.0725054i 0.0139481 + 0.00430241i
\(285\) −1.93571 25.8302i −0.114661 1.53005i
\(286\) −0.168576 + 0.738582i −0.00996814 + 0.0436733i
\(287\) 4.75804 + 27.4561i 0.280858 + 1.62068i
\(288\) −2.80956 12.3095i −0.165555 0.725344i
\(289\) −5.88221 + 1.81442i −0.346012 + 0.106731i
\(290\) 20.3829 + 51.9347i 1.19692 + 3.04971i
\(291\) 8.03745 + 7.45767i 0.471164 + 0.437176i
\(292\) −4.31651 2.94294i −0.252604 0.172223i
\(293\) 12.6189 0.737207 0.368603 0.929587i \(-0.379836\pi\)
0.368603 + 0.929587i \(0.379836\pi\)
\(294\) −9.67008 5.98767i −0.563971 0.349208i
\(295\) 28.7318 1.67283
\(296\) 8.17590 + 5.57423i 0.475214 + 0.323996i
\(297\) 1.47668 + 1.37016i 0.0856858 + 0.0795048i
\(298\) 4.97761 + 12.6828i 0.288345 + 0.734692i
\(299\) −2.07106 + 0.638838i −0.119773 + 0.0369450i
\(300\) −2.27228 9.95553i −0.131190 0.574783i
\(301\) 1.52844 + 2.13918i 0.0880978 + 0.123300i
\(302\) −3.13974 + 13.7561i −0.180672 + 0.791574i
\(303\) −0.0227595 0.303705i −0.00130750 0.0174474i
\(304\) −35.1593 10.8452i −2.01652 0.622015i
\(305\) 2.57461 34.3557i 0.147421 1.96720i
\(306\) 4.62275 11.7786i 0.264265 0.673336i
\(307\) −8.32758 + 4.01035i −0.475280 + 0.228883i −0.656159 0.754622i \(-0.727820\pi\)
0.180879 + 0.983505i \(0.442106\pi\)
\(308\) 1.00088 0.834837i 0.0570306 0.0475693i
\(309\) −7.25604 3.49432i −0.412782 0.198785i
\(310\) −51.8764 + 48.1343i −2.94638 + 2.73384i
\(311\) −21.2374 + 3.20102i −1.20426 + 0.181513i −0.720354 0.693606i \(-0.756021\pi\)
−0.483907 + 0.875119i \(0.660783\pi\)
\(312\) 0.686479 1.18902i 0.0388642 0.0673148i
\(313\) 12.6941 + 21.9867i 0.717510 + 1.24276i 0.961983 + 0.273108i \(0.0880516\pi\)
−0.244473 + 0.969656i \(0.578615\pi\)
\(314\) 14.4161 + 18.0772i 0.813547 + 1.02016i
\(315\) 15.2573 + 15.7349i 0.859654 + 0.886561i
\(316\) 0.729897 0.915262i 0.0410599 0.0514875i
\(317\) −4.57524 0.689606i −0.256971 0.0387322i 0.0192932 0.999814i \(-0.493858\pi\)
−0.276264 + 0.961082i \(0.589096\pi\)
\(318\) 8.86721 6.04556i 0.497248 0.339018i
\(319\) −2.89040 + 1.97064i −0.161831 + 0.110335i
\(320\) −1.57303 0.237097i −0.0879353 0.0132541i
\(321\) 6.37532 7.99439i 0.355835 0.446204i
\(322\) 9.56088 + 3.51175i 0.532807 + 0.195702i
\(323\) −15.1820 19.0376i −0.844748 1.05928i
\(324\) −1.25271 2.16975i −0.0695949 0.120542i
\(325\) −4.83247 + 8.37009i −0.268057 + 0.464289i
\(326\) −20.1197 + 3.03256i −1.11433 + 0.167958i
\(327\) −7.76930 + 7.20886i −0.429643 + 0.398651i
\(328\) 14.2422 + 6.85867i 0.786392 + 0.378707i
\(329\) −0.319596 0.0655867i −0.0176199 0.00361591i
\(330\) 2.39101 1.15145i 0.131621 0.0633853i
\(331\) 5.36176 13.6615i 0.294709 0.750906i −0.704444 0.709759i \(-0.748804\pi\)
0.999153 0.0411465i \(-0.0131010\pi\)
\(332\) −0.955869 + 12.7552i −0.0524601 + 0.700032i
\(333\) 13.6283 + 4.20378i 0.746828 + 0.230366i
\(334\) 1.30157 + 17.3682i 0.0712187 + 0.950347i
\(335\) −9.32727 + 40.8654i −0.509603 + 2.23272i
\(336\) −11.1110 + 4.64524i −0.606155 + 0.253419i
\(337\) −1.23025 5.39006i −0.0670158 0.293616i 0.930303 0.366791i \(-0.119544\pi\)
−0.997319 + 0.0731758i \(0.976687\pi\)
\(338\) 1.69732 0.523555i 0.0923222 0.0284776i
\(339\) −0.858688 2.18790i −0.0466375 0.118830i
\(340\) −10.6773 9.90711i −0.579059 0.537288i
\(341\) −3.66628 2.49963i −0.198540 0.135362i
\(342\) −28.4118 −1.53633
\(343\) 6.91806 17.1797i 0.373540 0.927614i
\(344\) 1.49146 0.0804139
\(345\) 6.27309 + 4.27692i 0.337732 + 0.230262i
\(346\) 7.82768 + 7.26302i 0.420818 + 0.390462i
\(347\) 11.0322 + 28.1097i 0.592242 + 1.50901i 0.841327 + 0.540526i \(0.181775\pi\)
−0.249086 + 0.968481i \(0.580130\pi\)
\(348\) −8.28099 + 2.55435i −0.443908 + 0.136927i
\(349\) −6.23259 27.3068i −0.333623 1.46170i −0.812059 0.583575i \(-0.801653\pi\)
0.478436 0.878122i \(-0.341204\pi\)
\(350\) 41.9053 17.5196i 2.23993 0.936463i
\(351\) 1.05099 4.60468i 0.0560975 0.245779i
\(352\) −0.186032 2.48243i −0.00991556 0.132314i
\(353\) −16.2489 5.01211i −0.864840 0.266768i −0.169571 0.985518i \(-0.554238\pi\)
−0.695268 + 0.718750i \(0.744714\pi\)
\(354\) −0.911013 + 12.1566i −0.0484198 + 0.646117i
\(355\) −0.297962 + 0.759196i −0.0158142 + 0.0402939i
\(356\) 8.18314 3.94079i 0.433705 0.208862i
\(357\) −7.80726 1.60219i −0.413204 0.0847966i
\(358\) −6.09658 2.93596i −0.322214 0.155170i
\(359\) −15.8094 + 14.6690i −0.834389 + 0.774200i −0.976470 0.215655i \(-0.930811\pi\)
0.142081 + 0.989855i \(0.454621\pi\)
\(360\) 12.2946 1.85311i 0.647981 0.0976675i
\(361\) −17.8380 + 30.8962i −0.938840 + 1.62612i
\(362\) 22.0457 + 38.1842i 1.15870 + 2.00692i
\(363\) −6.17001 7.73695i −0.323842 0.406085i
\(364\) −2.86850 1.05361i −0.150350 0.0552242i
\(365\) 10.7997 13.5423i 0.565280 0.708839i
\(366\) 14.4545 + 2.17867i 0.755549 + 0.113881i
\(367\) 17.4896 11.9242i 0.912949 0.622438i −0.0130701 0.999915i \(-0.504160\pi\)
0.926019 + 0.377476i \(0.123208\pi\)
\(368\) 8.91073 6.07523i 0.464504 0.316693i
\(369\) 22.5288 + 3.39567i 1.17280 + 0.176771i
\(370\) 27.9607 35.0617i 1.45361 1.82277i
\(371\) 12.1650 + 12.5458i 0.631577 + 0.651345i
\(372\) −6.85356 8.59409i −0.355340 0.445583i
\(373\) −1.78326 3.08870i −0.0923339 0.159927i 0.816159 0.577828i \(-0.196099\pi\)
−0.908493 + 0.417901i \(0.862766\pi\)
\(374\) 1.24738 2.16052i 0.0645002 0.111718i
\(375\) 16.1590 2.43558i 0.834448 0.125773i
\(376\) −0.135674 + 0.125887i −0.00699684 + 0.00649212i
\(377\) 7.38986 + 3.55877i 0.380597 + 0.183286i
\(378\) −17.0451 + 14.2173i −0.876703 + 0.731258i
\(379\) −12.9971 + 6.25907i −0.667616 + 0.321507i −0.736813 0.676096i \(-0.763670\pi\)
0.0691978 + 0.997603i \(0.477956\pi\)
\(380\) −11.9488 + 30.4450i −0.612959 + 1.56179i
\(381\) 0.0536461 0.715857i 0.00274837 0.0366745i
\(382\) −6.79110 2.09478i −0.347463 0.107178i
\(383\) −1.48013 19.7509i −0.0756309 1.00922i −0.897921 0.440156i \(-0.854923\pi\)
0.822290 0.569068i \(-0.192696\pi\)
\(384\) −2.22596 + 9.75256i −0.113593 + 0.497683i
\(385\) 2.51220 + 3.51604i 0.128034 + 0.179194i
\(386\) −10.4438 45.7575i −0.531578 2.32899i
\(387\) 2.05411 0.633609i 0.104416 0.0322081i
\(388\) −5.05781 12.8871i −0.256771 0.654243i
\(389\) −6.19137 5.74475i −0.313915 0.291270i 0.507441 0.861686i \(-0.330591\pi\)
−0.821356 + 0.570416i \(0.806782\pi\)
\(390\) −5.14106 3.50511i −0.260327 0.177488i
\(391\) 7.13724 0.360946
\(392\) −5.64814 8.85893i −0.285274 0.447443i
\(393\) −10.3571 −0.522446
\(394\) −4.31098 2.93918i −0.217184 0.148074i
\(395\) 2.84525 + 2.64001i 0.143160 + 0.132833i
\(396\) −0.389324 0.991981i −0.0195643 0.0498489i
\(397\) −22.9460 + 7.07789i −1.15162 + 0.355229i −0.811043 0.584986i \(-0.801100\pi\)
−0.340581 + 0.940215i \(0.610624\pi\)
\(398\) 1.14116 + 4.99973i 0.0572009 + 0.250614i
\(399\) 3.05574 + 17.6331i 0.152978 + 0.882757i
\(400\) 10.7016 46.8867i 0.535079 2.34434i
\(401\) 1.52849 + 20.3962i 0.0763289 + 1.01854i 0.895521 + 0.445019i \(0.146803\pi\)
−0.819192 + 0.573519i \(0.805578\pi\)
\(402\) −16.9947 5.24217i −0.847619 0.261456i
\(403\) −0.777481 + 10.3748i −0.0387291 + 0.516804i
\(404\) −0.140490 + 0.357963i −0.00698965 + 0.0178093i
\(405\) 7.48417 3.60419i 0.371891 0.179093i
\(406\) −17.4840 34.3523i −0.867716 1.70488i
\(407\) 2.53346 + 1.22005i 0.125579 + 0.0604756i
\(408\) −3.31431 + 3.07523i −0.164083 + 0.152247i
\(409\) −33.3809 + 5.03136i −1.65058 + 0.248785i −0.907387 0.420296i \(-0.861926\pi\)
−0.743190 + 0.669080i \(0.766688\pi\)
\(410\) 35.8200 62.0421i 1.76903 3.06404i
\(411\) −5.25132 9.09555i −0.259028 0.448650i
\(412\) 6.34015 + 7.95030i 0.312357 + 0.391683i
\(413\) −19.7576 + 1.91837i −0.972208 + 0.0943969i
\(414\) 5.19230 6.51094i 0.255188 0.319995i
\(415\) −41.9352 6.32072i −2.05852 0.310272i
\(416\) −4.82251 + 3.28793i −0.236443 + 0.161204i
\(417\) −6.79751 + 4.63447i −0.332876 + 0.226951i
\(418\) −5.53919 0.834898i −0.270931 0.0408362i
\(419\) −4.71961 + 5.91820i −0.230568 + 0.289123i −0.883634 0.468177i \(-0.844911\pi\)
0.653066 + 0.757301i \(0.273482\pi\)
\(420\) 3.37950 + 10.1574i 0.164903 + 0.495632i
\(421\) −7.77814 9.75348i −0.379084 0.475356i 0.555287 0.831659i \(-0.312608\pi\)
−0.934370 + 0.356303i \(0.884037\pi\)
\(422\) 9.12700 + 15.8084i 0.444295 + 0.769542i
\(423\) −0.133377 + 0.231015i −0.00648500 + 0.0112324i
\(424\) 9.80275 1.47753i 0.476064 0.0717551i
\(425\) 23.3311 21.6481i 1.13172 1.05009i
\(426\) −0.311773 0.150142i −0.0151055 0.00727441i
\(427\) 0.523429 + 23.7968i 0.0253305 + 1.15161i
\(428\) −11.6322 + 5.60178i −0.562264 + 0.270772i
\(429\) 0.142538 0.363180i 0.00688179 0.0175345i
\(430\) 0.505121 6.74037i 0.0243591 0.325050i
\(431\) 19.5439 + 6.02848i 0.941395 + 0.290382i 0.727213 0.686412i \(-0.240815\pi\)
0.214182 + 0.976794i \(0.431291\pi\)
\(432\) 1.75631 + 23.4363i 0.0845003 + 1.12758i
\(433\) 8.06963 35.3554i 0.387802 1.69907i −0.284403 0.958705i \(-0.591795\pi\)
0.672204 0.740366i \(-0.265348\pi\)
\(434\) 32.4593 36.5635i 1.55809 1.75510i
\(435\) −6.39357 28.0121i −0.306548 1.34308i
\(436\) 12.7877 3.94447i 0.612418 0.188906i
\(437\) −5.85499 14.9183i −0.280082 0.713638i
\(438\) 5.38743 + 4.99881i 0.257421 + 0.238852i
\(439\) 28.4706 + 19.4109i 1.35883 + 0.926431i 0.999976 0.00696389i \(-0.00221669\pi\)
0.358850 + 0.933395i \(0.383169\pi\)
\(440\) 2.45142 0.116867
\(441\) −11.5424 9.80149i −0.549638 0.466738i
\(442\) −5.84927 −0.278221
\(443\) −0.455687 0.310682i −0.0216504 0.0147610i 0.552447 0.833548i \(-0.313694\pi\)
−0.574097 + 0.818787i \(0.694647\pi\)
\(444\) 5.10629 + 4.73795i 0.242334 + 0.224853i
\(445\) 11.0018 + 28.0320i 0.521534 + 1.32885i
\(446\) −23.5816 + 7.27395i −1.11662 + 0.344431i
\(447\) −1.56135 6.84070i −0.0738491 0.323554i
\(448\) 1.09754 + 0.0580122i 0.0518537 + 0.00274082i
\(449\) −1.41961 + 6.21971i −0.0669955 + 0.293526i −0.997316 0.0732219i \(-0.976672\pi\)
0.930320 + 0.366748i \(0.119529\pi\)
\(450\) −2.77521 37.0326i −0.130825 1.74573i
\(451\) 4.29244 + 1.32404i 0.202123 + 0.0623468i
\(452\) −0.221775 + 2.95938i −0.0104314 + 0.139198i
\(453\) 2.65477 6.76424i 0.124732 0.317812i
\(454\) 18.4968 8.90760i 0.868099 0.418054i
\(455\) 4.19425 9.22296i 0.196629 0.432379i
\(456\) 9.14671 + 4.40482i 0.428334 + 0.206275i
\(457\) −4.33391 + 4.02128i −0.202732 + 0.188107i −0.775004 0.631956i \(-0.782252\pi\)
0.572273 + 0.820063i \(0.306062\pi\)
\(458\) 9.09081 1.37022i 0.424785 0.0640261i
\(459\) −7.77674 + 13.4697i −0.362987 + 0.628712i
\(460\) −4.79321 8.30208i −0.223484 0.387086i
\(461\) 5.41133 + 6.78559i 0.252031 + 0.316036i 0.891712 0.452604i \(-0.149505\pi\)
−0.639681 + 0.768641i \(0.720934\pi\)
\(462\) −1.56731 + 0.951447i −0.0729181 + 0.0442653i
\(463\) 7.09912 8.90201i 0.329924 0.413711i −0.589008 0.808127i \(-0.700481\pi\)
0.918932 + 0.394415i \(0.129053\pi\)
\(464\) −40.3577 6.08294i −1.87356 0.282393i
\(465\) 30.1125 20.5303i 1.39643 0.952071i
\(466\) −15.9748 + 10.8914i −0.740016 + 0.504535i
\(467\) 18.4760 + 2.78481i 0.854966 + 0.128865i 0.561878 0.827220i \(-0.310079\pi\)
0.293088 + 0.956085i \(0.405317\pi\)
\(468\) −1.55782 + 1.95344i −0.0720101 + 0.0902978i
\(469\) 3.68544 28.7241i 0.170178 1.32636i
\(470\) 0.522974 + 0.655789i 0.0241230 + 0.0302493i
\(471\) −5.95380 10.3123i −0.274336 0.475165i
\(472\) −5.63046 + 9.75224i −0.259163 + 0.448883i
\(473\) 0.419090 0.0631676i 0.0192698 0.00290445i
\(474\) −1.20722 + 1.12014i −0.0554495 + 0.0514496i
\(475\) −64.3883 31.0078i −2.95434 1.42274i
\(476\) 8.00380 + 6.09977i 0.366854 + 0.279583i
\(477\) 12.8732 6.19938i 0.589421 0.283850i
\(478\) −12.7755 + 32.5514i −0.584336 + 1.48886i
\(479\) −1.58175 + 21.1069i −0.0722718 + 0.964400i 0.836732 + 0.547612i \(0.184463\pi\)
−0.909004 + 0.416788i \(0.863156\pi\)
\(480\) 19.5379 + 6.02664i 0.891778 + 0.275077i
\(481\) −0.492690 6.57450i −0.0224647 0.299771i
\(482\) 5.83440 25.5622i 0.265750 1.16433i
\(483\) −4.59929 2.52221i −0.209275 0.114764i
\(484\) 2.78040 + 12.1817i 0.126382 + 0.553716i
\(485\) 43.8613 13.5294i 1.99164 0.614340i
\(486\) 10.4825 + 26.7091i 0.475498 + 1.21155i
\(487\) 5.17642 + 4.80301i 0.234566 + 0.217645i 0.788694 0.614786i \(-0.210758\pi\)
−0.554128 + 0.832432i \(0.686948\pi\)
\(488\) 11.1566 + 7.60644i 0.505035 + 0.344327i
\(489\) 10.4787 0.473861
\(490\) −41.9493 + 22.5254i −1.89507 + 1.01760i
\(491\) 9.14179 0.412563 0.206281 0.978493i \(-0.433864\pi\)
0.206281 + 0.978493i \(0.433864\pi\)
\(492\) 9.19418 + 6.26849i 0.414506 + 0.282605i
\(493\) −19.7999 18.3716i −0.891741 0.827414i
\(494\) 4.79841 + 12.2261i 0.215890 + 0.550080i
\(495\) 3.37621 1.04142i 0.151750 0.0468085i
\(496\) −11.5198 50.4713i −0.517252 2.26623i
\(497\) 0.154205 0.541960i 0.00691706 0.0243102i
\(498\) 4.00400 17.5427i 0.179423 0.786106i
\(499\) 1.74810 + 23.3267i 0.0782556 + 1.04425i 0.888717 + 0.458456i \(0.151597\pi\)
−0.810461 + 0.585792i \(0.800784\pi\)
\(500\) −19.7168 6.08184i −0.881763 0.271988i
\(501\) 0.670305 8.94460i 0.0299470 0.399615i
\(502\) 15.1626 38.6336i 0.676738 1.72430i
\(503\) −15.5705 + 7.49837i −0.694255 + 0.334336i −0.747515 0.664245i \(-0.768753\pi\)
0.0532597 + 0.998581i \(0.483039\pi\)
\(504\) −8.33071 + 2.09519i −0.371080 + 0.0933272i
\(505\) −1.14871 0.553191i −0.0511170 0.0246167i
\(506\) 1.20362 1.11680i 0.0535076 0.0496478i
\(507\) −0.904541 + 0.136338i −0.0401721 + 0.00605496i
\(508\) −0.453203 + 0.784971i −0.0201076 + 0.0348274i
\(509\) −4.50033 7.79480i −0.199474 0.345498i 0.748884 0.662701i \(-0.230590\pi\)
−0.948358 + 0.317202i \(0.897257\pi\)
\(510\) 12.7755 + 16.0199i 0.565708 + 0.709375i
\(511\) −6.52225 + 10.0335i −0.288527 + 0.443858i
\(512\) 8.79520 11.0288i 0.388696 0.487410i
\(513\) 34.5340 + 5.20516i 1.52471 + 0.229813i
\(514\) 16.3111 11.1208i 0.719454 0.490515i
\(515\) −27.8567 + 18.9924i −1.22751 + 0.836904i
\(516\) 1.03818 + 0.156481i 0.0457034 + 0.00688869i
\(517\) −0.0327918 + 0.0411196i −0.00144218 + 0.00180844i
\(518\) −16.8864 + 25.9772i −0.741944 + 1.14137i
\(519\) −3.42873 4.29949i −0.150504 0.188727i
\(520\) −2.87383 4.97762i −0.126026 0.218283i
\(521\) −9.35743 + 16.2075i −0.409957 + 0.710066i −0.994884 0.101020i \(-0.967789\pi\)
0.584928 + 0.811085i \(0.301123\pi\)
\(522\) −31.1637 + 4.69717i −1.36400 + 0.205590i
\(523\) −19.2522 + 17.8635i −0.841842 + 0.781115i −0.977787 0.209602i \(-0.932783\pi\)
0.135945 + 0.990716i \(0.456593\pi\)
\(524\) 11.7822 + 5.67403i 0.514710 + 0.247871i
\(525\) −22.6849 + 5.70529i −0.990049 + 0.248999i
\(526\) −39.2719 + 18.9123i −1.71233 + 0.824617i
\(527\) 12.5168 31.8923i 0.545241 1.38925i
\(528\) −0.145079 + 1.93595i −0.00631376 + 0.0842513i
\(529\) −17.4894 5.39478i −0.760411 0.234556i
\(530\) −3.35746 44.8022i −0.145839 1.94608i
\(531\) −3.61155 + 15.8232i −0.156728 + 0.686670i
\(532\) 6.18388 21.7335i 0.268105 0.942265i
\(533\) −2.34361 10.2680i −0.101513 0.444758i
\(534\) −12.2094 + 3.76610i −0.528352 + 0.162975i
\(535\) −15.6389 39.8472i −0.676127 1.72274i
\(536\) −12.0429 11.1741i −0.520172 0.482649i
\(537\) 2.87931 + 1.96308i 0.124251 + 0.0847130i
\(538\) 48.3477 2.08442
\(539\) −1.96229 2.25009i −0.0845219 0.0969181i
\(540\) 20.8907 0.898993
\(541\) 11.8750 + 8.09626i 0.510547 + 0.348085i 0.791034 0.611773i \(-0.209543\pi\)
−0.280486 + 0.959858i \(0.590496\pi\)
\(542\) 39.8729 + 36.9967i 1.71269 + 1.58914i
\(543\) −8.29578 21.1373i −0.356006 0.907089i
\(544\) 18.3667 5.66539i 0.787468 0.242902i
\(545\) 9.87307 + 43.2567i 0.422916 + 1.85292i
\(546\) 3.76931 + 2.06705i 0.161311 + 0.0884617i
\(547\) 4.21612 18.4720i 0.180268 0.789808i −0.801233 0.598353i \(-0.795822\pi\)
0.981501 0.191455i \(-0.0613206\pi\)
\(548\) 0.991001 + 13.2240i 0.0423335 + 0.564901i
\(549\) 18.5968 + 5.73636i 0.793694 + 0.244822i
\(550\) 0.547168 7.30146i 0.0233313 0.311335i
\(551\) −22.1576 + 56.4567i −0.943946 + 2.40513i
\(552\) −2.68100 + 1.29110i −0.114111 + 0.0549529i
\(553\) −2.13282 1.62544i −0.0906968 0.0691209i
\(554\) 43.1711 + 20.7901i 1.83417 + 0.883287i
\(555\) −16.9301 + 15.7088i −0.718643 + 0.666803i
\(556\) 10.2718 1.54823i 0.435622 0.0656594i
\(557\) 1.79991 3.11753i 0.0762645 0.132094i −0.825371 0.564591i \(-0.809034\pi\)
0.901635 + 0.432497i \(0.142367\pi\)
\(558\) −19.9878 34.6199i −0.846151 1.46558i
\(559\) −0.619568 0.776913i −0.0262049 0.0328599i
\(560\) −6.41599 + 50.0059i −0.271125 + 2.11314i
\(561\) −0.801054 + 1.00449i −0.0338205 + 0.0424096i
\(562\) −13.0200 1.96245i −0.549215 0.0827809i
\(563\) 28.6897 19.5603i 1.20913 0.824369i 0.220592 0.975366i \(-0.429201\pi\)
0.988534 + 0.150998i \(0.0482485\pi\)
\(564\) −0.107649 + 0.0733935i −0.00453282 + 0.00309042i
\(565\) −9.72955 1.46649i −0.409325 0.0616959i
\(566\) 13.5222 16.9563i 0.568379 0.712724i
\(567\) −4.90589 + 2.97814i −0.206028 + 0.125070i
\(568\) −0.199298 0.249912i −0.00836237 0.0104861i
\(569\) 14.6127 + 25.3100i 0.612598 + 1.06105i 0.990801 + 0.135328i \(0.0432089\pi\)
−0.378203 + 0.925723i \(0.623458\pi\)
\(570\) 23.0046 39.8451i 0.963557 1.66893i
\(571\) −7.46813 + 1.12564i −0.312532 + 0.0471066i −0.303435 0.952852i \(-0.598134\pi\)
−0.00909635 + 0.999959i \(0.502895\pi\)
\(572\) −0.361116 + 0.335067i −0.0150990 + 0.0140098i
\(573\) 3.29755 + 1.58802i 0.137757 + 0.0663404i
\(574\) −20.4894 + 45.0553i −0.855212 + 1.88057i
\(575\) 18.8729 9.08871i 0.787055 0.379026i
\(576\) 0.328303 0.836502i 0.0136793 0.0348542i
\(577\) 2.60316 34.7368i 0.108371 1.44611i −0.632550 0.774520i \(-0.717992\pi\)
0.740921 0.671592i \(-0.234389\pi\)
\(578\) −10.4482 3.22284i −0.434587 0.134052i
\(579\) 1.80630 + 24.1034i 0.0750674 + 1.00170i
\(580\) −8.07279 + 35.3692i −0.335204 + 1.46863i
\(581\) 29.2590 + 1.54654i 1.21387 + 0.0641611i
\(582\) 4.33366 + 18.9870i 0.179636 + 0.787037i
\(583\) 2.69193 0.830351i 0.111488 0.0343896i
\(584\) 2.48022 + 6.31950i 0.102632 + 0.261503i
\(585\) −6.07261 5.63456i −0.251071 0.232960i
\(586\) 18.5195 + 12.6264i 0.765033 + 0.521591i
\(587\) −24.8910 −1.02736 −0.513681 0.857982i \(-0.671718\pi\)
−0.513681 + 0.857982i \(0.671718\pi\)
\(588\) −3.00213 6.75917i −0.123806 0.278744i
\(589\) −76.9294 −3.16982
\(590\) 42.1666 + 28.7487i 1.73597 + 1.18357i
\(591\) 1.96975 + 1.82766i 0.0810246 + 0.0751799i
\(592\) 11.9855 + 30.5385i 0.492600 + 1.25512i
\(593\) −22.0694 + 6.80752i −0.906283 + 0.279551i −0.712648 0.701522i \(-0.752504\pi\)
−0.193636 + 0.981074i \(0.562028\pi\)
\(594\) 0.796203 + 3.48839i 0.0326686 + 0.143130i
\(595\) −22.1506 + 24.9514i −0.908085 + 1.02291i
\(596\) −1.97142 + 8.63736i −0.0807526 + 0.353800i
\(597\) −0.197367 2.63368i −0.00807770 0.107789i
\(598\) −3.67870 1.13473i −0.150433 0.0464025i
\(599\) 1.32901 17.7345i 0.0543020 0.724610i −0.901908 0.431928i \(-0.857833\pi\)
0.956210 0.292682i \(-0.0945476\pi\)
\(600\) −4.84792 + 12.3523i −0.197915 + 0.504280i
\(601\) −16.3820 + 7.88913i −0.668234 + 0.321804i −0.737063 0.675824i \(-0.763788\pi\)
0.0688292 + 0.997628i \(0.478074\pi\)
\(602\) 0.102693 + 4.66878i 0.00418547 + 0.190285i
\(603\) −21.3331 10.2735i −0.868750 0.418368i
\(604\) −6.72579 + 6.24062i −0.273668 + 0.253927i
\(605\) −40.9650 + 6.17448i −1.66546 + 0.251028i
\(606\) 0.270482 0.468488i 0.0109876 0.0190310i
\(607\) −0.448655 0.777093i −0.0182103 0.0315412i 0.856777 0.515688i \(-0.172464\pi\)
−0.874987 + 0.484146i \(0.839130\pi\)
\(608\) −26.9088 33.7426i −1.09130 1.36844i
\(609\) 6.26689 + 18.8358i 0.253947 + 0.763264i
\(610\) 38.1544 47.8441i 1.54483 1.93715i
\(611\) 0.121936 + 0.0183789i 0.00493300 + 0.000743531i
\(612\) 6.79819 4.63493i 0.274801 0.187356i
\(613\) −0.144411 + 0.0984580i −0.00583272 + 0.00397668i −0.566233 0.824245i \(-0.691600\pi\)
0.560400 + 0.828222i \(0.310647\pi\)
\(614\) −16.2342 2.44692i −0.655160 0.0987495i
\(615\) −23.0033 + 28.8453i −0.927584 + 1.16315i
\(616\) −1.68573 + 0.163677i −0.0679200 + 0.00659473i
\(617\) 15.4449 + 19.3673i 0.621788 + 0.779697i 0.988595 0.150600i \(-0.0481204\pi\)
−0.366807 + 0.930297i \(0.619549\pi\)
\(618\) −7.15254 12.3886i −0.287717 0.498341i
\(619\) −7.63986 + 13.2326i −0.307072 + 0.531864i −0.977720 0.209911i \(-0.932683\pi\)
0.670649 + 0.741775i \(0.266016\pi\)
\(620\) −45.5033 + 6.85852i −1.82746 + 0.275445i
\(621\) −7.50397 + 6.96266i −0.301124 + 0.279402i
\(622\) −34.3708 16.5521i −1.37814 0.663678i
\(623\) −9.43708 18.5418i −0.378089 0.742863i
\(624\) 4.10104 1.97496i 0.164173 0.0790615i
\(625\) 7.33840 18.6980i 0.293536 0.747918i
\(626\) −3.36997 + 44.9691i −0.134691 + 1.79733i
\(627\) 2.75673 + 0.850337i 0.110093 + 0.0339592i
\(628\) 1.12357 + 14.9930i 0.0448353 + 0.598285i
\(629\) −4.83115 + 21.1666i −0.192631 + 0.843970i
\(630\) 6.64743 + 38.3588i 0.264840 + 1.52825i
\(631\) 4.67339 + 20.4755i 0.186045 + 0.815116i 0.978675 + 0.205413i \(0.0658539\pi\)
−0.792630 + 0.609702i \(0.791289\pi\)
\(632\) −1.45365 + 0.448392i −0.0578232 + 0.0178361i
\(633\) −3.43449 8.75093i −0.136509 0.347818i
\(634\) −6.02458 5.59000i −0.239267 0.222007i
\(635\) −2.48303 1.69290i −0.0985361 0.0671808i
\(636\) 6.97858 0.276719
\(637\) −2.26840 + 6.62226i −0.0898772 + 0.262384i
\(638\) −6.21373 −0.246004
\(639\) −0.380653 0.259524i −0.0150584 0.0102666i
\(640\) 30.6983 + 28.4839i 1.21346 + 1.12593i
\(641\) −18.0773 46.0603i −0.714012 1.81927i −0.554710 0.832043i \(-0.687171\pi\)
−0.159302 0.987230i \(-0.550924\pi\)
\(642\) 17.3555 5.35346i 0.684966 0.211284i
\(643\) 6.28596 + 27.5406i 0.247894 + 1.08609i 0.933628 + 0.358243i \(0.116624\pi\)
−0.685734 + 0.727852i \(0.740519\pi\)
\(644\) 3.85039 + 5.38894i 0.151727 + 0.212354i
\(645\) −0.774598 + 3.39374i −0.0304998 + 0.133628i
\(646\) −3.23218 43.1304i −0.127168 1.69694i
\(647\) −21.1193 6.51443i −0.830284 0.256109i −0.149656 0.988738i \(-0.547817\pi\)
−0.680628 + 0.732629i \(0.738293\pi\)
\(648\) −0.243299 + 3.24660i −0.00955768 + 0.127538i
\(649\) −1.16909 + 2.97878i −0.0458907 + 0.116927i
\(650\) −15.4671 + 7.44858i −0.606671 + 0.292157i
\(651\) −19.3362 + 16.1284i −0.757847 + 0.632120i
\(652\) −11.9205 5.74063i −0.466844 0.224820i
\(653\) 14.5550 13.5050i 0.569580 0.528493i −0.341955 0.939716i \(-0.611089\pi\)
0.911534 + 0.411224i \(0.134898\pi\)
\(654\) −18.6153 + 2.80580i −0.727915 + 0.109716i
\(655\) −21.6791 + 37.5494i −0.847074 + 1.46718i
\(656\) 26.2037 + 45.3862i 1.02308 + 1.77203i
\(657\) 6.10057 + 7.64987i 0.238006 + 0.298450i
\(658\) −0.403412 0.416039i −0.0157266 0.0162189i
\(659\) 17.6828 22.1735i 0.688824 0.863758i −0.307309 0.951610i \(-0.599429\pi\)
0.996134 + 0.0878514i \(0.0280001\pi\)
\(660\) 1.70640 + 0.257198i 0.0664214 + 0.0100114i
\(661\) 32.1011 21.8862i 1.24859 0.851273i 0.255291 0.966864i \(-0.417829\pi\)
0.993297 + 0.115592i \(0.0368764\pi\)
\(662\) 21.5385 14.6847i 0.837116 0.570736i
\(663\) 2.97872 + 0.448969i 0.115684 + 0.0174365i
\(664\) 10.3633 12.9951i 0.402173 0.504309i
\(665\) 70.3244 + 25.8305i 2.72706 + 1.00166i
\(666\) 15.7946 + 19.8058i 0.612029 + 0.767460i
\(667\) −8.88845 15.3952i −0.344162 0.596106i
\(668\) −5.66275 + 9.80817i −0.219098 + 0.379490i
\(669\) 12.5671 1.89419i 0.485874 0.0732336i
\(670\) −54.5782 + 50.6411i −2.10854 + 1.95644i
\(671\) 3.45709 + 1.66485i 0.133459 + 0.0642706i
\(672\) −13.8377 2.83974i −0.533802 0.109545i
\(673\) 0.727399 0.350297i 0.0280392 0.0135029i −0.419812 0.907611i \(-0.637904\pi\)
0.447851 + 0.894108i \(0.352190\pi\)
\(674\) 3.58774 9.14140i 0.138194 0.352114i
\(675\) −3.41131 + 45.5208i −0.131301 + 1.75210i
\(676\) 1.10370 + 0.340446i 0.0424499 + 0.0130941i
\(677\) −0.181045 2.41588i −0.00695814 0.0928499i 0.992643 0.121074i \(-0.0386338\pi\)
−0.999602 + 0.0282241i \(0.991015\pi\)
\(678\) 0.928984 4.07014i 0.0356774 0.156313i
\(679\) −29.2582 + 12.2321i −1.12283 + 0.469426i
\(680\) 4.21176 + 18.4529i 0.161514 + 0.707637i
\(681\) −10.1031 + 3.11641i −0.387153 + 0.119421i
\(682\) −2.87951 7.33688i −0.110262 0.280944i
\(683\) −0.568958 0.527916i −0.0217706 0.0202001i 0.669212 0.743071i \(-0.266632\pi\)
−0.690983 + 0.722871i \(0.742822\pi\)
\(684\) −15.2648 10.4073i −0.583663 0.397935i
\(685\) −43.9676 −1.67992
\(686\) 27.3427 18.2906i 1.04395 0.698340i
\(687\) −4.73463 −0.180637
\(688\) 4.08548 + 2.78543i 0.155757 + 0.106194i
\(689\) −4.84183 4.49256i −0.184459 0.171153i
\(690\) 4.92691 + 12.5536i 0.187564 + 0.477906i
\(691\) −22.8695 + 7.05430i −0.869996 + 0.268358i −0.697442 0.716642i \(-0.745678\pi\)
−0.172555 + 0.985000i \(0.555202\pi\)
\(692\) 1.54509 + 6.76950i 0.0587357 + 0.257338i
\(693\) −2.25214 + 0.941566i −0.0855517 + 0.0357671i
\(694\) −11.9354 + 52.2924i −0.453061 + 1.98499i
\(695\) 2.57380 + 34.3449i 0.0976297 + 1.30278i
\(696\) 10.7609 + 3.31929i 0.407890 + 0.125817i
\(697\) −2.59186 + 34.5860i −0.0981737 + 1.31004i
\(698\) 18.1759 46.3115i 0.687969 1.75292i
\(699\) 8.97107 4.32024i 0.339317 0.163406i
\(700\) 28.9319 + 5.93733i 1.09352 + 0.224410i
\(701\) −34.2488 16.4934i −1.29356 0.622946i −0.344721 0.938705i \(-0.612027\pi\)
−0.948839 + 0.315759i \(0.897741\pi\)
\(702\) 6.14981 5.70619i 0.232110 0.215366i
\(703\) 48.2057 7.26584i 1.81811 0.274036i
\(704\) 0.0885873 0.153438i 0.00333876 0.00578290i
\(705\) −0.215986 0.374099i −0.00813452 0.0140894i
\(706\) −18.8317 23.6142i −0.708740 0.888731i
\(707\) 0.826855 + 0.303707i 0.0310971 + 0.0114221i
\(708\) −4.94247 + 6.19767i −0.185750 + 0.232923i
\(709\) −10.8907 1.64151i −0.409010 0.0616483i −0.0586848 0.998277i \(-0.518691\pi\)
−0.350325 + 0.936628i \(0.613929\pi\)
\(710\) −1.19693 + 0.816054i −0.0449200 + 0.0306259i
\(711\) −1.81156 + 1.23510i −0.0679386 + 0.0463198i
\(712\) −11.6707 1.75907i −0.437378 0.0659241i
\(713\) 14.0590 17.6294i 0.526512 0.660226i
\(714\) −9.85476 10.1632i −0.368805 0.380349i
\(715\) −1.01835 1.27697i −0.0380840 0.0477558i
\(716\) −2.20005 3.81060i −0.0822197 0.142409i
\(717\) 9.00438 15.5960i 0.336275 0.582445i
\(718\) −37.8794 + 5.70941i −1.41365 + 0.213073i
\(719\) 9.78051 9.07499i 0.364751 0.338440i −0.476411 0.879223i \(-0.658062\pi\)
0.841162 + 0.540783i \(0.181872\pi\)
\(720\) 37.1388 + 17.8851i 1.38408 + 0.666539i
\(721\) 17.8877 14.9202i 0.666174 0.555656i
\(722\) −57.0933 + 27.4947i −2.12479 + 1.02325i
\(723\) −4.93321 + 12.5696i −0.183468 + 0.467469i
\(724\) −2.14257 + 28.5906i −0.0796280 + 1.06256i
\(725\) −75.7512 23.3662i −2.81333 0.867797i
\(726\) −1.31357 17.5284i −0.0487511 0.650538i
\(727\) −8.62671 + 37.7961i −0.319947 + 1.40178i 0.517697 + 0.855564i \(0.326789\pi\)
−0.837644 + 0.546216i \(0.816068\pi\)
\(728\) 2.30856 + 3.23101i 0.0855608 + 0.119749i
\(729\) −1.84004 8.06175i −0.0681497 0.298583i
\(730\) 29.3998 9.06865i 1.08814 0.335646i
\(731\) 1.19553 + 3.04615i 0.0442181 + 0.112666i
\(732\) 6.96790 + 6.46527i 0.257541 + 0.238963i
\(733\) 4.26072 + 2.90491i 0.157373 + 0.107295i 0.639446 0.768836i \(-0.279164\pi\)
−0.482073 + 0.876131i \(0.660116\pi\)
\(734\) 37.5988 1.38780
\(735\) 23.0915 8.25111i 0.851741 0.304347i
\(736\) 12.6502 0.466292
\(737\) −3.85722 2.62981i −0.142083 0.0968703i
\(738\) 29.6654 + 27.5255i 1.09200 + 1.01323i
\(739\) −4.80370 12.2396i −0.176707 0.450242i 0.814889 0.579618i \(-0.196798\pi\)
−0.991596 + 0.129375i \(0.958703\pi\)
\(740\) 27.8656 8.59541i 1.02436 0.315974i
\(741\) −1.50513 6.59442i −0.0552925 0.242252i
\(742\) 5.30014 + 30.5843i 0.194574 + 1.12279i
\(743\) 8.77150 38.4305i 0.321795 1.40988i −0.512561 0.858651i \(-0.671303\pi\)
0.834356 0.551226i \(-0.185840\pi\)
\(744\) 1.06745 + 14.2441i 0.0391346 + 0.522215i
\(745\) −28.0690 8.65813i −1.02837 0.317209i
\(746\) 0.473414 6.31728i 0.0173329 0.231292i
\(747\) 8.75216 22.3001i 0.320225 0.815920i
\(748\) 1.46158 0.703860i 0.0534407 0.0257357i
\(749\) 13.4147 + 26.3570i 0.490162 + 0.963062i
\(750\) 26.1519 + 12.5941i 0.954932 + 0.459871i
\(751\) 27.1531 25.1944i 0.990832 0.919358i −0.00591237 0.999983i \(-0.501882\pi\)
0.996745 + 0.0806246i \(0.0256915\pi\)
\(752\) −0.606750 + 0.0914529i −0.0221259 + 0.00333494i
\(753\) −10.6868 + 18.5102i −0.389450 + 0.674548i
\(754\) 7.28445 + 12.6170i 0.265284 + 0.459485i
\(755\) −18.9667 23.7835i −0.690269 0.865570i
\(756\) −14.3656 + 1.39484i −0.522473 + 0.0507297i
\(757\) −16.6387 + 20.8643i −0.604745 + 0.758327i −0.986109 0.166098i \(-0.946883\pi\)
0.381364 + 0.924425i \(0.375455\pi\)
\(758\) −25.3372 3.81897i −0.920289 0.138711i
\(759\) −0.698662 + 0.476339i −0.0253598 + 0.0172900i
\(760\) 35.1152 23.9411i 1.27376 0.868436i
\(761\) 10.0623 + 1.51664i 0.364757 + 0.0549782i 0.328864 0.944377i \(-0.393334\pi\)
0.0358931 + 0.999356i \(0.488572\pi\)
\(762\) 0.795010 0.996910i 0.0288002 0.0361143i
\(763\) −9.67745 29.0865i −0.350347 1.05300i
\(764\) −2.88132 3.61306i −0.104243 0.130716i
\(765\) 13.6399 + 23.6250i 0.493152 + 0.854165i
\(766\) 17.5903 30.4673i 0.635564 1.10083i
\(767\) 7.41899 1.11823i 0.267884 0.0403770i
\(768\) −13.5822 + 12.6025i −0.490106 + 0.454752i
\(769\) 42.5720 + 20.5016i 1.53518 + 0.739306i 0.994775 0.102096i \(-0.0325548\pi\)
0.540410 + 0.841402i \(0.318269\pi\)
\(770\) 0.168791 + 7.67380i 0.00608281 + 0.276544i
\(771\) −9.15998 + 4.41121i −0.329888 + 0.158866i
\(772\) 11.1500 28.4097i 0.401296 1.02249i
\(773\) 0.942442 12.5760i 0.0338973 0.452328i −0.954270 <