Properties

Label 43.2.e.a.21.1
Level $43$
Weight $2$
Character 43.21
Analytic conductor $0.343$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Defining polynomial: \(x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 21.1
Root \(-0.623490 + 0.781831i\) of defining polynomial
Character \(\chi\) \(=\) 43.21
Dual form 43.2.e.a.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.62349 - 0.781831i) q^{2} +(1.12349 - 0.541044i) q^{3} +(0.777479 + 0.974928i) q^{4} +(-0.500000 - 2.19064i) q^{5} -2.24698 q^{6} +1.69202 q^{7} +(0.301938 + 1.32288i) q^{8} +(-0.900969 + 1.12978i) q^{9} +O(q^{10})\) \(q+(-1.62349 - 0.781831i) q^{2} +(1.12349 - 0.541044i) q^{3} +(0.777479 + 0.974928i) q^{4} +(-0.500000 - 2.19064i) q^{5} -2.24698 q^{6} +1.69202 q^{7} +(0.301938 + 1.32288i) q^{8} +(-0.900969 + 1.12978i) q^{9} +(-0.900969 + 3.94740i) q^{10} +(-0.708947 + 0.888992i) q^{11} +(1.40097 + 0.674671i) q^{12} +(1.45593 + 6.37883i) q^{13} +(-2.74698 - 1.32288i) q^{14} +(-1.74698 - 2.19064i) q^{15} +(1.09903 - 4.81517i) q^{16} +(0.801938 - 3.51352i) q^{17} +(2.34601 - 1.12978i) q^{18} +(-2.77144 - 3.47527i) q^{19} +(1.74698 - 2.19064i) q^{20} +(1.90097 - 0.915458i) q^{21} +(1.84601 - 0.888992i) q^{22} +(-2.31551 + 2.90356i) q^{23} +(1.05496 + 1.32288i) q^{24} +(-0.0440730 + 0.0212244i) q^{25} +(2.62349 - 11.4943i) q^{26} +(-1.23341 + 5.40391i) q^{27} +(1.31551 + 1.64960i) q^{28} +(5.40581 + 2.60330i) q^{29} +(1.12349 + 4.92233i) q^{30} +(-9.30074 - 4.47900i) q^{31} +(-3.85690 + 4.83639i) q^{32} +(-0.315511 + 1.38235i) q^{33} +(-4.04892 + 5.07718i) q^{34} +(-0.846011 - 3.70662i) q^{35} -1.80194 q^{36} +3.65279 q^{37} +(1.78232 + 7.80887i) q^{38} +(5.08695 + 6.37883i) q^{39} +(2.74698 - 1.32288i) q^{40} +(-3.96077 - 1.90741i) q^{41} -3.80194 q^{42} +(1.67241 - 6.34059i) q^{43} -1.41789 q^{44} +(2.92543 + 1.40881i) q^{45} +(6.02930 - 2.90356i) q^{46} +(-1.96346 - 2.46210i) q^{47} +(-1.37047 - 6.00442i) q^{48} -4.13706 q^{49} +0.0881460 q^{50} +(-1.00000 - 4.38129i) q^{51} +(-5.08695 + 6.37883i) q^{52} +(-2.48039 + 10.8673i) q^{53} +(6.22737 - 7.80887i) q^{54} +(2.30194 + 1.10855i) q^{55} +(0.510885 + 2.23833i) q^{56} +(-4.99396 - 2.40496i) q^{57} +(-6.74094 - 8.45287i) q^{58} +(-0.0353438 + 0.154851i) q^{59} +(0.777479 - 3.40636i) q^{60} +(0.643104 - 0.309703i) q^{61} +(11.5978 + 14.5432i) q^{62} +(-1.52446 + 1.91161i) q^{63} +(1.14310 - 0.550490i) q^{64} +(13.2458 - 6.37883i) q^{65} +(1.59299 - 1.99755i) q^{66} +(-1.30798 - 1.64015i) q^{67} +(4.04892 - 1.94986i) q^{68} +(-1.03050 + 4.51491i) q^{69} +(-1.52446 + 6.67909i) q^{70} +(-2.32304 - 2.91301i) q^{71} +(-1.76659 - 0.850747i) q^{72} +(-0.318864 - 1.39703i) q^{73} +(-5.93027 - 2.85587i) q^{74} +(-0.0380322 + 0.0476909i) q^{75} +(1.23341 - 5.40391i) q^{76} +(-1.19955 + 1.50419i) q^{77} +(-3.27144 - 14.3331i) q^{78} -0.0609989 q^{79} -11.0978 q^{80} +(0.573376 + 2.51212i) q^{81} +(4.93900 + 6.19331i) q^{82} +(11.0673 - 5.32975i) q^{83} +(2.37047 + 1.14156i) q^{84} -8.09783 q^{85} +(-7.67241 + 8.98634i) q^{86} +7.48188 q^{87} +(-1.39008 - 0.669429i) q^{88} +(9.56734 - 4.60739i) q^{89} +(-3.64795 - 4.57438i) q^{90} +(2.46346 + 10.7931i) q^{91} -4.63102 q^{92} -12.8726 q^{93} +(1.26271 + 5.53229i) q^{94} +(-6.22737 + 7.80887i) q^{95} +(-1.71648 + 7.52039i) q^{96} +(2.18449 - 2.73926i) q^{97} +(6.71648 + 3.23449i) q^{98} +(-0.365625 - 1.60191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 5q^{2} + 2q^{3} + 5q^{4} - 3q^{5} - 4q^{6} - 7q^{8} - q^{9} + O(q^{10}) \) \( 6q - 5q^{2} + 2q^{3} + 5q^{4} - 3q^{5} - 4q^{6} - 7q^{8} - q^{9} - q^{10} - 10q^{11} + 4q^{12} + 5q^{13} - 7q^{14} - q^{15} + 11q^{16} - 4q^{17} + 9q^{18} + 2q^{19} + q^{20} + 7q^{21} + 6q^{22} + q^{23} + 7q^{24} - 4q^{25} + 11q^{26} - 4q^{27} - 7q^{28} + 6q^{29} + 2q^{30} - 6q^{31} - 15q^{32} + 13q^{33} - 6q^{34} - 2q^{36} - 14q^{37} - 11q^{38} - 3q^{39} + 7q^{40} + 2q^{41} - 14q^{42} - 13q^{43} - 20q^{44} + 4q^{45} + 5q^{46} + 17q^{47} + 6q^{48} - 14q^{49} + 8q^{50} - 6q^{51} + 3q^{52} - 2q^{53} + 15q^{54} + 5q^{55} - 11q^{57} - 12q^{58} + 12q^{59} + 5q^{60} + 12q^{61} + 33q^{62} + 15q^{64} + 29q^{65} - 5q^{66} - 18q^{67} + 6q^{68} - 16q^{69} + 26q^{71} - 14q^{72} - 9q^{73} + 15q^{75} + 4q^{76} + 28q^{77} - q^{78} - 20q^{79} - 30q^{80} - 24q^{81} + 10q^{82} + 20q^{83} - 12q^{85} - 23q^{86} - 12q^{87} - 7q^{88} + 11q^{89} - 8q^{90} - 14q^{91} + 2q^{92} - 44q^{93} - 27q^{94} - 15q^{95} + 9q^{96} + 28q^{97} + 21q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.62349 0.781831i −1.14798 0.552838i −0.239554 0.970883i \(-0.577001\pi\)
−0.908426 + 0.418045i \(0.862716\pi\)
\(3\) 1.12349 0.541044i 0.648647 0.312372i −0.0804740 0.996757i \(-0.525643\pi\)
0.729121 + 0.684385i \(0.239929\pi\)
\(4\) 0.777479 + 0.974928i 0.388740 + 0.487464i
\(5\) −0.500000 2.19064i −0.223607 0.979685i −0.954738 0.297448i \(-0.903864\pi\)
0.731131 0.682237i \(-0.238993\pi\)
\(6\) −2.24698 −0.917326
\(7\) 1.69202 0.639524 0.319762 0.947498i \(-0.396397\pi\)
0.319762 + 0.947498i \(0.396397\pi\)
\(8\) 0.301938 + 1.32288i 0.106751 + 0.467707i
\(9\) −0.900969 + 1.12978i −0.300323 + 0.376593i
\(10\) −0.900969 + 3.94740i −0.284911 + 1.24828i
\(11\) −0.708947 + 0.888992i −0.213756 + 0.268041i −0.877137 0.480240i \(-0.840549\pi\)
0.663381 + 0.748282i \(0.269121\pi\)
\(12\) 1.40097 + 0.674671i 0.404425 + 0.194761i
\(13\) 1.45593 + 6.37883i 0.403801 + 1.76917i 0.611771 + 0.791035i \(0.290457\pi\)
−0.207970 + 0.978135i \(0.566686\pi\)
\(14\) −2.74698 1.32288i −0.734161 0.353553i
\(15\) −1.74698 2.19064i −0.451068 0.565622i
\(16\) 1.09903 4.81517i 0.274758 1.20379i
\(17\) 0.801938 3.51352i 0.194498 0.852153i −0.779645 0.626222i \(-0.784600\pi\)
0.974143 0.225931i \(-0.0725425\pi\)
\(18\) 2.34601 1.12978i 0.552960 0.266292i
\(19\) −2.77144 3.47527i −0.635812 0.797282i 0.354661 0.934995i \(-0.384596\pi\)
−0.990472 + 0.137713i \(0.956025\pi\)
\(20\) 1.74698 2.19064i 0.390637 0.489843i
\(21\) 1.90097 0.915458i 0.414825 0.199769i
\(22\) 1.84601 0.888992i 0.393571 0.189534i
\(23\) −2.31551 + 2.90356i −0.482817 + 0.605434i −0.962257 0.272141i \(-0.912268\pi\)
0.479440 + 0.877575i \(0.340840\pi\)
\(24\) 1.05496 + 1.32288i 0.215342 + 0.270031i
\(25\) −0.0440730 + 0.0212244i −0.00881460 + 0.00424489i
\(26\) 2.62349 11.4943i 0.514509 2.25421i
\(27\) −1.23341 + 5.40391i −0.237369 + 1.03998i
\(28\) 1.31551 + 1.64960i 0.248608 + 0.311745i
\(29\) 5.40581 + 2.60330i 1.00383 + 0.483421i 0.862238 0.506503i \(-0.169062\pi\)
0.141596 + 0.989924i \(0.454777\pi\)
\(30\) 1.12349 + 4.92233i 0.205120 + 0.898690i
\(31\) −9.30074 4.47900i −1.67046 0.804452i −0.997925 0.0643894i \(-0.979490\pi\)
−0.672538 0.740063i \(-0.734796\pi\)
\(32\) −3.85690 + 4.83639i −0.681809 + 0.854962i
\(33\) −0.315511 + 1.38235i −0.0549235 + 0.240635i
\(34\) −4.04892 + 5.07718i −0.694384 + 0.870729i
\(35\) −0.846011 3.70662i −0.143002 0.626532i
\(36\) −1.80194 −0.300323
\(37\) 3.65279 0.600515 0.300258 0.953858i \(-0.402927\pi\)
0.300258 + 0.953858i \(0.402927\pi\)
\(38\) 1.78232 + 7.80887i 0.289131 + 1.26677i
\(39\) 5.08695 + 6.37883i 0.814564 + 1.02143i
\(40\) 2.74698 1.32288i 0.434336 0.209165i
\(41\) −3.96077 1.90741i −0.618569 0.297887i 0.0982338 0.995163i \(-0.468681\pi\)
−0.716802 + 0.697276i \(0.754395\pi\)
\(42\) −3.80194 −0.586652
\(43\) 1.67241 6.34059i 0.255040 0.966931i
\(44\) −1.41789 −0.213756
\(45\) 2.92543 + 1.40881i 0.436097 + 0.210013i
\(46\) 6.02930 2.90356i 0.888972 0.428106i
\(47\) −1.96346 2.46210i −0.286400 0.359134i 0.617731 0.786389i \(-0.288052\pi\)
−0.904131 + 0.427255i \(0.859481\pi\)
\(48\) −1.37047 6.00442i −0.197810 0.866663i
\(49\) −4.13706 −0.591009
\(50\) 0.0881460 0.0124657
\(51\) −1.00000 4.38129i −0.140028 0.613503i
\(52\) −5.08695 + 6.37883i −0.705433 + 0.884585i
\(53\) −2.48039 + 10.8673i −0.340707 + 1.49274i 0.456878 + 0.889529i \(0.348968\pi\)
−0.797585 + 0.603206i \(0.793890\pi\)
\(54\) 6.22737 7.80887i 0.847437 1.06265i
\(55\) 2.30194 + 1.10855i 0.310393 + 0.149477i
\(56\) 0.510885 + 2.23833i 0.0682699 + 0.299110i
\(57\) −4.99396 2.40496i −0.661466 0.318545i
\(58\) −6.74094 8.45287i −0.885129 1.10992i
\(59\) −0.0353438 + 0.154851i −0.00460137 + 0.0201599i −0.977176 0.212429i \(-0.931863\pi\)
0.972575 + 0.232589i \(0.0747197\pi\)
\(60\) 0.777479 3.40636i 0.100372 0.439759i
\(61\) 0.643104 0.309703i 0.0823410 0.0396534i −0.392260 0.919854i \(-0.628307\pi\)
0.474601 + 0.880201i \(0.342592\pi\)
\(62\) 11.5978 + 14.5432i 1.47293 + 1.84699i
\(63\) −1.52446 + 1.91161i −0.192064 + 0.240840i
\(64\) 1.14310 0.550490i 0.142888 0.0688112i
\(65\) 13.2458 6.37883i 1.64294 0.791197i
\(66\) 1.59299 1.99755i 0.196084 0.245881i
\(67\) −1.30798 1.64015i −0.159795 0.200377i 0.695488 0.718538i \(-0.255188\pi\)
−0.855283 + 0.518161i \(0.826617\pi\)
\(68\) 4.04892 1.94986i 0.491003 0.236455i
\(69\) −1.03050 + 4.51491i −0.124058 + 0.543532i
\(70\) −1.52446 + 6.67909i −0.182208 + 0.798304i
\(71\) −2.32304 2.91301i −0.275695 0.345710i 0.624637 0.780916i \(-0.285247\pi\)
−0.900331 + 0.435206i \(0.856676\pi\)
\(72\) −1.76659 0.850747i −0.208195 0.100261i
\(73\) −0.318864 1.39703i −0.0373202 0.163510i 0.952834 0.303492i \(-0.0981527\pi\)
−0.990154 + 0.139982i \(0.955296\pi\)
\(74\) −5.93027 2.85587i −0.689380 0.331988i
\(75\) −0.0380322 + 0.0476909i −0.00439158 + 0.00550687i
\(76\) 1.23341 5.40391i 0.141481 0.619870i
\(77\) −1.19955 + 1.50419i −0.136702 + 0.171419i
\(78\) −3.27144 14.3331i −0.370417 1.62290i
\(79\) −0.0609989 −0.00686292 −0.00343146 0.999994i \(-0.501092\pi\)
−0.00343146 + 0.999994i \(0.501092\pi\)
\(80\) −11.0978 −1.24078
\(81\) 0.573376 + 2.51212i 0.0637084 + 0.279125i
\(82\) 4.93900 + 6.19331i 0.545421 + 0.683937i
\(83\) 11.0673 5.32975i 1.21480 0.585016i 0.286940 0.957949i \(-0.407362\pi\)
0.927858 + 0.372933i \(0.121648\pi\)
\(84\) 2.37047 + 1.14156i 0.258639 + 0.124554i
\(85\) −8.09783 −0.878333
\(86\) −7.67241 + 8.98634i −0.827337 + 0.969022i
\(87\) 7.48188 0.802141
\(88\) −1.39008 0.669429i −0.148183 0.0713614i
\(89\) 9.56734 4.60739i 1.01414 0.488382i 0.148423 0.988924i \(-0.452580\pi\)
0.865712 + 0.500542i \(0.166866\pi\)
\(90\) −3.64795 4.57438i −0.384528 0.482182i
\(91\) 2.46346 + 10.7931i 0.258241 + 1.13143i
\(92\) −4.63102 −0.482817
\(93\) −12.8726 −1.33483
\(94\) 1.26271 + 5.53229i 0.130238 + 0.570612i
\(95\) −6.22737 + 7.80887i −0.638914 + 0.801173i
\(96\) −1.71648 + 7.52039i −0.175188 + 0.767547i
\(97\) 2.18449 2.73926i 0.221801 0.278130i −0.658464 0.752613i \(-0.728793\pi\)
0.880265 + 0.474483i \(0.157365\pi\)
\(98\) 6.71648 + 3.23449i 0.678467 + 0.326732i
\(99\) −0.365625 1.60191i −0.0367467 0.160998i
\(100\) −0.0549581 0.0264664i −0.00549581 0.00264664i
\(101\) 8.02595 + 10.0642i 0.798612 + 1.00143i 0.999761 + 0.0218670i \(0.00696105\pi\)
−0.201149 + 0.979561i \(0.564468\pi\)
\(102\) −1.80194 + 7.89481i −0.178418 + 0.781702i
\(103\) −0.826396 + 3.62068i −0.0814273 + 0.356756i −0.999184 0.0403866i \(-0.987141\pi\)
0.917757 + 0.397143i \(0.129998\pi\)
\(104\) −7.99880 + 3.85202i −0.784347 + 0.377722i
\(105\) −2.95593 3.70662i −0.288469 0.361729i
\(106\) 12.5233 15.7037i 1.21637 1.52528i
\(107\) −4.54892 + 2.19064i −0.439760 + 0.211777i −0.640645 0.767838i \(-0.721333\pi\)
0.200884 + 0.979615i \(0.435619\pi\)
\(108\) −6.22737 + 2.99894i −0.599229 + 0.288573i
\(109\) 1.35690 1.70149i 0.129967 0.162974i −0.712590 0.701581i \(-0.752478\pi\)
0.842557 + 0.538607i \(0.181049\pi\)
\(110\) −2.87047 3.59945i −0.273689 0.343195i
\(111\) 4.10388 1.97632i 0.389523 0.187584i
\(112\) 1.85958 8.14737i 0.175714 0.769854i
\(113\) 2.61380 11.4518i 0.245886 1.07730i −0.689672 0.724122i \(-0.742245\pi\)
0.935558 0.353174i \(-0.114898\pi\)
\(114\) 6.22737 + 7.80887i 0.583246 + 0.731368i
\(115\) 7.51842 + 3.62068i 0.701096 + 0.337630i
\(116\) 1.66487 + 7.29429i 0.154580 + 0.677258i
\(117\) −8.51842 4.10225i −0.787528 0.379254i
\(118\) 0.178448 0.223767i 0.0164275 0.0205994i
\(119\) 1.35690 5.94495i 0.124386 0.544973i
\(120\) 2.37047 2.97247i 0.216393 0.271349i
\(121\) 2.16003 + 9.46371i 0.196366 + 0.860337i
\(122\) −1.28621 −0.116448
\(123\) −5.48188 −0.494284
\(124\) −2.86443 12.5499i −0.257233 1.12701i
\(125\) −6.93631 8.69786i −0.620403 0.777960i
\(126\) 3.96950 1.91161i 0.353631 0.170300i
\(127\) 18.2201 + 8.77435i 1.61677 + 0.778598i 0.999964 0.00851340i \(-0.00270993\pi\)
0.616811 + 0.787111i \(0.288424\pi\)
\(128\) 10.0858 0.891463
\(129\) −1.55161 8.02843i −0.136611 0.706864i
\(130\) −26.4916 −2.32346
\(131\) −1.85474 0.893196i −0.162049 0.0780389i 0.351101 0.936338i \(-0.385807\pi\)
−0.513150 + 0.858299i \(0.671522\pi\)
\(132\) −1.59299 + 0.767144i −0.138652 + 0.0667713i
\(133\) −4.68933 5.88024i −0.406617 0.509881i
\(134\) 0.841166 + 3.68539i 0.0726657 + 0.318369i
\(135\) 12.4547 1.07193
\(136\) 4.89008 0.419321
\(137\) −3.47166 15.2103i −0.296604 1.29951i −0.875148 0.483855i \(-0.839236\pi\)
0.578545 0.815651i \(-0.303621\pi\)
\(138\) 5.20291 6.52424i 0.442901 0.555380i
\(139\) 1.57457 6.89865i 0.133553 0.585136i −0.863217 0.504833i \(-0.831554\pi\)
0.996770 0.0803030i \(-0.0255888\pi\)
\(140\) 2.95593 3.70662i 0.249821 0.313266i
\(141\) −3.53803 1.70383i −0.297956 0.143488i
\(142\) 1.49396 + 6.54546i 0.125370 + 0.549283i
\(143\) −6.70291 3.22795i −0.560525 0.269935i
\(144\) 4.44989 + 5.57998i 0.370824 + 0.464998i
\(145\) 3.00000 13.1439i 0.249136 1.09154i
\(146\) −0.574572 + 2.51737i −0.0475520 + 0.208339i
\(147\) −4.64795 + 2.23833i −0.383356 + 0.184615i
\(148\) 2.83997 + 3.56121i 0.233444 + 0.292730i
\(149\) −3.61745 + 4.53614i −0.296353 + 0.371615i −0.907608 0.419819i \(-0.862094\pi\)
0.611255 + 0.791434i \(0.290665\pi\)
\(150\) 0.0990311 0.0476909i 0.00808586 0.00389394i
\(151\) −6.71164 + 3.23215i −0.546185 + 0.263029i −0.686565 0.727069i \(-0.740882\pi\)
0.140379 + 0.990098i \(0.455168\pi\)
\(152\) 3.76055 4.71558i 0.305021 0.382484i
\(153\) 3.24698 + 4.07158i 0.262503 + 0.329168i
\(154\) 3.12349 1.50419i 0.251698 0.121211i
\(155\) −5.16152 + 22.6141i −0.414583 + 1.81641i
\(156\) −2.26391 + 9.91882i −0.181258 + 0.794141i
\(157\) 8.23825 + 10.3304i 0.657484 + 0.824459i 0.993067 0.117552i \(-0.0375047\pi\)
−0.335583 + 0.942011i \(0.608933\pi\)
\(158\) 0.0990311 + 0.0476909i 0.00787849 + 0.00379408i
\(159\) 3.09299 + 13.5513i 0.245290 + 1.07469i
\(160\) 12.5233 + 6.03089i 0.990051 + 0.476783i
\(161\) −3.91789 + 4.91288i −0.308773 + 0.387190i
\(162\) 1.03319 4.52669i 0.0811749 0.355650i
\(163\) −8.84481 + 11.0910i −0.692779 + 0.868718i −0.996461 0.0840557i \(-0.973213\pi\)
0.303682 + 0.952774i \(0.401784\pi\)
\(164\) −1.21983 5.34444i −0.0952529 0.417330i
\(165\) 3.18598 0.248028
\(166\) −22.1347 −1.71798
\(167\) −2.10776 9.23470i −0.163103 0.714603i −0.988646 0.150263i \(-0.951988\pi\)
0.825543 0.564340i \(-0.190869\pi\)
\(168\) 1.78501 + 2.23833i 0.137717 + 0.172691i
\(169\) −26.8572 + 12.9337i −2.06594 + 0.994903i
\(170\) 13.1468 + 6.33114i 1.00831 + 0.485576i
\(171\) 6.42327 0.491200
\(172\) 7.48188 3.29920i 0.570488 0.251561i
\(173\) 4.76271 0.362102 0.181051 0.983474i \(-0.442050\pi\)
0.181051 + 0.983474i \(0.442050\pi\)
\(174\) −12.1468 5.84957i −0.920843 0.443455i
\(175\) −0.0745725 + 0.0359122i −0.00563715 + 0.00271471i
\(176\) 3.50149 + 4.39073i 0.263935 + 0.330964i
\(177\) 0.0440730 + 0.193096i 0.00331273 + 0.0145140i
\(178\) −19.1347 −1.43420
\(179\) 1.64742 0.123134 0.0615668 0.998103i \(-0.480390\pi\)
0.0615668 + 0.998103i \(0.480390\pi\)
\(180\) 0.900969 + 3.94740i 0.0671543 + 0.294222i
\(181\) 1.41939 1.77985i 0.105502 0.132296i −0.726277 0.687402i \(-0.758751\pi\)
0.831779 + 0.555106i \(0.187322\pi\)
\(182\) 4.43900 19.4485i 0.329041 1.44162i
\(183\) 0.554958 0.695895i 0.0410237 0.0514421i
\(184\) −4.54019 2.18644i −0.334707 0.161186i
\(185\) −1.82640 8.00197i −0.134279 0.588316i
\(186\) 20.8986 + 10.0642i 1.53236 + 0.737945i
\(187\) 2.55496 + 3.20382i 0.186837 + 0.234286i
\(188\) 0.873822 3.82846i 0.0637300 0.279219i
\(189\) −2.08695 + 9.14352i −0.151803 + 0.665093i
\(190\) 16.2153 7.80887i 1.17638 0.566515i
\(191\) −9.37196 11.7521i −0.678131 0.850350i 0.317049 0.948409i \(-0.397308\pi\)
−0.995181 + 0.0980593i \(0.968737\pi\)
\(192\) 0.986426 1.23694i 0.0711892 0.0892684i
\(193\) −8.87531 + 4.27413i −0.638859 + 0.307658i −0.725129 0.688614i \(-0.758220\pi\)
0.0862695 + 0.996272i \(0.472505\pi\)
\(194\) −5.68814 + 2.73926i −0.408384 + 0.196668i
\(195\) 11.4303 14.3331i 0.818539 1.02642i
\(196\) −3.21648 4.03334i −0.229749 0.288096i
\(197\) −9.87531 + 4.75570i −0.703587 + 0.338830i −0.751235 0.660035i \(-0.770542\pi\)
0.0476483 + 0.998864i \(0.484827\pi\)
\(198\) −0.658834 + 2.88654i −0.0468213 + 0.205137i
\(199\) 5.41939 23.7439i 0.384170 1.68316i −0.300082 0.953914i \(-0.597014\pi\)
0.684252 0.729246i \(-0.260129\pi\)
\(200\) −0.0413846 0.0518946i −0.00292633 0.00366951i
\(201\) −2.35690 1.13502i −0.166243 0.0800582i
\(202\) −5.16152 22.6141i −0.363163 1.59112i
\(203\) 9.14675 + 4.40484i 0.641976 + 0.309159i
\(204\) 3.49396 4.38129i 0.244626 0.306751i
\(205\) −2.19806 + 9.63034i −0.153519 + 0.672612i
\(206\) 4.17241 5.23203i 0.290705 0.364533i
\(207\) −1.19418 5.23203i −0.0830011 0.363651i
\(208\) 32.3153 2.24066
\(209\) 5.05429 0.349613
\(210\) 1.90097 + 8.32869i 0.131179 + 0.574734i
\(211\) 6.42878 + 8.06144i 0.442575 + 0.554972i 0.952220 0.305413i \(-0.0987945\pi\)
−0.509645 + 0.860385i \(0.670223\pi\)
\(212\) −12.5233 + 6.03089i −0.860101 + 0.414203i
\(213\) −4.18598 2.01586i −0.286819 0.138125i
\(214\) 9.09783 0.621915
\(215\) −14.7262 0.493353i −1.00432 0.0336464i
\(216\) −7.52111 −0.511746
\(217\) −15.7371 7.57857i −1.06830 0.514467i
\(218\) −3.53319 + 1.70149i −0.239298 + 0.115240i
\(219\) −1.11410 1.39703i −0.0752837 0.0944027i
\(220\) 0.708947 + 3.10610i 0.0477972 + 0.209413i
\(221\) 23.5797 1.58614
\(222\) −8.20775 −0.550868
\(223\) −0.630490 2.76236i −0.0422207 0.184981i 0.949420 0.314008i \(-0.101672\pi\)
−0.991641 + 0.129027i \(0.958815\pi\)
\(224\) −6.52595 + 8.18328i −0.436033 + 0.546769i
\(225\) 0.0157295 0.0689153i 0.00104863 0.00459435i
\(226\) −13.1969 + 16.5483i −0.877842 + 1.10078i
\(227\) 11.7702 + 5.66825i 0.781218 + 0.376215i 0.781596 0.623785i \(-0.214406\pi\)
−0.000377606 1.00000i \(0.500120\pi\)
\(228\) −1.53803 6.73856i −0.101859 0.446272i
\(229\) 16.1419 + 7.77353i 1.06669 + 0.513690i 0.883038 0.469302i \(-0.155495\pi\)
0.183650 + 0.982992i \(0.441209\pi\)
\(230\) −9.37531 11.7563i −0.618190 0.775186i
\(231\) −0.533852 + 2.33896i −0.0351249 + 0.153892i
\(232\) −1.81163 + 7.93725i −0.118939 + 0.521106i
\(233\) 8.41550 4.05269i 0.551318 0.265501i −0.137418 0.990513i \(-0.543880\pi\)
0.688736 + 0.725012i \(0.258166\pi\)
\(234\) 10.6223 + 13.3199i 0.694401 + 0.870751i
\(235\) −4.41185 + 5.53229i −0.287798 + 0.360887i
\(236\) −0.178448 + 0.0859360i −0.0116160 + 0.00559396i
\(237\) −0.0685317 + 0.0330031i −0.00445161 + 0.00214378i
\(238\) −6.85086 + 8.59070i −0.444075 + 0.556852i
\(239\) 4.51507 + 5.66171i 0.292055 + 0.366226i 0.906113 0.423035i \(-0.139035\pi\)
−0.614058 + 0.789261i \(0.710464\pi\)
\(240\) −12.4683 + 6.00442i −0.804826 + 0.387584i
\(241\) 0.0244587 0.107160i 0.00157552 0.00690281i −0.974134 0.225971i \(-0.927445\pi\)
0.975710 + 0.219068i \(0.0703017\pi\)
\(242\) 3.89224 17.0530i 0.250203 1.09621i
\(243\) −8.36443 10.4887i −0.536578 0.672848i
\(244\) 0.801938 + 0.386193i 0.0513388 + 0.0247235i
\(245\) 2.06853 + 9.06283i 0.132154 + 0.579003i
\(246\) 8.89977 + 4.28590i 0.567429 + 0.273259i
\(247\) 18.1332 22.7383i 1.15379 1.44680i
\(248\) 3.11692 13.6561i 0.197924 0.867163i
\(249\) 9.55041 11.9758i 0.605233 0.758938i
\(250\) 4.46077 + 19.5439i 0.282124 + 1.23607i
\(251\) −27.8974 −1.76087 −0.880433 0.474170i \(-0.842748\pi\)
−0.880433 + 0.474170i \(0.842748\pi\)
\(252\) −3.04892 −0.192064
\(253\) −0.939665 4.11694i −0.0590762 0.258830i
\(254\) −22.7201 28.4901i −1.42559 1.78763i
\(255\) −9.09783 + 4.38129i −0.569729 + 0.274367i
\(256\) −18.6603 8.98634i −1.16627 0.561646i
\(257\) −2.66487 −0.166230 −0.0831151 0.996540i \(-0.526487\pi\)
−0.0831151 + 0.996540i \(0.526487\pi\)
\(258\) −3.75786 + 14.2472i −0.233954 + 0.886990i
\(259\) 6.18060 0.384044
\(260\) 16.5172 + 7.95427i 1.02435 + 0.493303i
\(261\) −7.81163 + 3.76188i −0.483528 + 0.232855i
\(262\) 2.31282 + 2.90019i 0.142887 + 0.179174i
\(263\) 5.37047 + 23.5296i 0.331157 + 1.45090i 0.816893 + 0.576789i \(0.195695\pi\)
−0.485736 + 0.874106i \(0.661448\pi\)
\(264\) −1.92394 −0.118410
\(265\) 25.0465 1.53860
\(266\) 3.01573 + 13.2128i 0.184906 + 0.810127i
\(267\) 8.25600 10.3527i 0.505259 0.633575i
\(268\) 0.582105 2.55037i 0.0355577 0.155789i
\(269\) 18.7989 23.5731i 1.14619 1.43727i 0.265164 0.964203i \(-0.414574\pi\)
0.881024 0.473071i \(-0.156855\pi\)
\(270\) −20.2201 9.73750i −1.23056 0.592605i
\(271\) 3.04676 + 13.3487i 0.185078 + 0.810878i 0.979164 + 0.203073i \(0.0650927\pi\)
−0.794086 + 0.607805i \(0.792050\pi\)
\(272\) −16.0368 7.72293i −0.972376 0.468272i
\(273\) 8.60723 + 10.7931i 0.520933 + 0.653229i
\(274\) −6.25571 + 27.4081i −0.377921 + 1.65578i
\(275\) 0.0123771 0.0542276i 0.000746366 0.00327004i
\(276\) −5.20291 + 2.50559i −0.313178 + 0.150819i
\(277\) −11.5809 14.5220i −0.695829 0.872542i 0.300875 0.953664i \(-0.402721\pi\)
−0.996704 + 0.0811212i \(0.974150\pi\)
\(278\) −7.94989 + 9.96884i −0.476802 + 0.597891i
\(279\) 13.4400 6.47234i 0.804629 0.387489i
\(280\) 4.64795 2.23833i 0.277768 0.133766i
\(281\) −1.69351 + 2.12360i −0.101027 + 0.126683i −0.829775 0.558099i \(-0.811531\pi\)
0.728748 + 0.684782i \(0.240103\pi\)
\(282\) 4.41185 + 5.53229i 0.262722 + 0.329443i
\(283\) −15.3274 + 7.38127i −0.911117 + 0.438771i −0.829891 0.557925i \(-0.811598\pi\)
−0.0812254 + 0.996696i \(0.525883\pi\)
\(284\) 1.03385 4.52960i 0.0613478 0.268782i
\(285\) −2.77144 + 12.1425i −0.164166 + 0.719258i
\(286\) 8.35839 + 10.4811i 0.494242 + 0.619760i
\(287\) −6.70171 3.22737i −0.395589 0.190506i
\(288\) −1.98911 8.71488i −0.117210 0.513529i
\(289\) 3.61476 + 1.74078i 0.212633 + 0.102399i
\(290\) −15.1468 + 18.9934i −0.889448 + 1.11533i
\(291\) 0.972189 4.25944i 0.0569907 0.249693i
\(292\) 1.11410 1.39703i 0.0651976 0.0817552i
\(293\) 2.45473 + 10.7549i 0.143407 + 0.628307i 0.994629 + 0.103502i \(0.0330047\pi\)
−0.851222 + 0.524805i \(0.824138\pi\)
\(294\) 9.29590 0.542148
\(295\) 0.356896 0.0207793
\(296\) 1.10292 + 4.83219i 0.0641057 + 0.280865i
\(297\) −3.92961 4.92757i −0.228019 0.285927i
\(298\) 9.41939 4.53614i 0.545650 0.262771i
\(299\) −21.8925 10.5429i −1.26608 0.609711i
\(300\) −0.0760644 −0.00439158
\(301\) 2.82975 10.7284i 0.163104 0.618375i
\(302\) 13.4233 0.772422
\(303\) 14.4623 + 6.96466i 0.830835 + 0.400109i
\(304\) −19.7799 + 9.52551i −1.13446 + 0.546326i
\(305\) −1.00000 1.25396i −0.0572598 0.0718016i
\(306\) −2.08815 9.14877i −0.119371 0.523000i
\(307\) 15.7952 0.901482 0.450741 0.892655i \(-0.351160\pi\)
0.450741 + 0.892655i \(0.351160\pi\)
\(308\) −2.39911 −0.136702
\(309\) 1.03050 + 4.51491i 0.0586231 + 0.256844i
\(310\) 26.0601 32.6783i 1.48011 1.85600i
\(311\) 2.75182 12.0565i 0.156042 0.683663i −0.835016 0.550226i \(-0.814542\pi\)
0.991057 0.133437i \(-0.0426013\pi\)
\(312\) −6.90246 + 8.65541i −0.390775 + 0.490016i
\(313\) 5.25667 + 2.53148i 0.297124 + 0.143088i 0.576507 0.817092i \(-0.304415\pi\)
−0.279382 + 0.960180i \(0.590130\pi\)
\(314\) −5.29805 23.2123i −0.298986 1.30995i
\(315\) 4.94989 + 2.38374i 0.278894 + 0.134309i
\(316\) −0.0474254 0.0594696i −0.00266789 0.00334542i
\(317\) −5.82304 + 25.5124i −0.327055 + 1.43292i 0.497660 + 0.867372i \(0.334193\pi\)
−0.824715 + 0.565548i \(0.808665\pi\)
\(318\) 5.57338 24.4186i 0.312539 1.36932i
\(319\) −6.14675 + 2.96012i −0.344152 + 0.165735i
\(320\) −1.77748 2.22889i −0.0993641 0.124599i
\(321\) −3.92543 + 4.92233i −0.219096 + 0.274738i
\(322\) 10.2017 4.91288i 0.568519 0.273784i
\(323\) −14.4330 + 6.95055i −0.803071 + 0.386739i
\(324\) −2.00335 + 2.51212i −0.111297 + 0.139562i
\(325\) −0.199554 0.250233i −0.0110693 0.0138804i
\(326\) 23.0308 11.0910i 1.27556 0.614276i
\(327\) 0.603875 2.64575i 0.0333944 0.146310i
\(328\) 1.32736 5.81553i 0.0732910 0.321109i
\(329\) −3.32222 4.16593i −0.183160 0.229675i
\(330\) −5.17241 2.49090i −0.284732 0.137120i
\(331\) −4.06465 17.8084i −0.223413 0.978837i −0.954887 0.296968i \(-0.904025\pi\)
0.731474 0.681869i \(-0.238833\pi\)
\(332\) 13.8007 + 6.64609i 0.757414 + 0.364751i
\(333\) −3.29105 + 4.12685i −0.180349 + 0.226150i
\(334\) −3.79805 + 16.6404i −0.207820 + 0.910520i
\(335\) −2.93900 + 3.68539i −0.160575 + 0.201354i
\(336\) −2.31886 10.1596i −0.126504 0.554252i
\(337\) −7.09113 −0.386278 −0.193139 0.981171i \(-0.561867\pi\)
−0.193139 + 0.981171i \(0.561867\pi\)
\(338\) 53.7144 2.92168
\(339\) −3.25936 14.2802i −0.177024 0.775593i
\(340\) −6.29590 7.89481i −0.341443 0.428156i
\(341\) 10.5755 5.09291i 0.572697 0.275796i
\(342\) −10.4281 5.02192i −0.563888 0.271554i
\(343\) −18.8442 −1.01749
\(344\) 8.89277 + 0.297924i 0.479466 + 0.0160630i
\(345\) 10.4058 0.560230
\(346\) −7.73221 3.72364i −0.415686 0.200184i
\(347\) 2.89612 1.39470i 0.155472 0.0748714i −0.354530 0.935045i \(-0.615359\pi\)
0.510002 + 0.860173i \(0.329645\pi\)
\(348\) 5.81700 + 7.29429i 0.311824 + 0.391015i
\(349\) −6.08599 26.6645i −0.325776 1.42732i −0.827099 0.562056i \(-0.810010\pi\)
0.501324 0.865260i \(-0.332847\pi\)
\(350\) 0.149145 0.00797213
\(351\) −36.2664 −1.93575
\(352\) −1.56518 6.85750i −0.0834243 0.365506i
\(353\) −14.4013 + 18.0586i −0.766502 + 0.961163i −0.999937 0.0112093i \(-0.996432\pi\)
0.233435 + 0.972372i \(0.425003\pi\)
\(354\) 0.0794168 0.347948i 0.00422096 0.0184932i
\(355\) −5.21983 + 6.54546i −0.277040 + 0.347397i
\(356\) 11.9303 + 5.74532i 0.632303 + 0.304501i
\(357\) −1.69202 7.41323i −0.0895513 0.392350i
\(358\) −2.67456 1.28800i −0.141355 0.0680730i
\(359\) −0.158834 0.199171i −0.00838292 0.0105118i 0.777622 0.628732i \(-0.216426\pi\)
−0.786005 + 0.618220i \(0.787854\pi\)
\(360\) −0.980386 + 4.29535i −0.0516709 + 0.226385i
\(361\) −0.168759 + 0.739383i −0.00888207 + 0.0389149i
\(362\) −3.69591 + 1.77985i −0.194253 + 0.0935471i
\(363\) 7.54706 + 9.46371i 0.396118 + 0.496716i
\(364\) −8.60723 + 10.7931i −0.451141 + 0.565713i
\(365\) −2.90097 + 1.39703i −0.151844 + 0.0731240i
\(366\) −1.44504 + 0.695895i −0.0755335 + 0.0363750i
\(367\) −9.23341 + 11.5783i −0.481980 + 0.604384i −0.962059 0.272842i \(-0.912037\pi\)
0.480079 + 0.877225i \(0.340608\pi\)
\(368\) 11.4363 + 14.3407i 0.596159 + 0.747560i
\(369\) 5.72348 2.75628i 0.297952 0.143486i
\(370\) −3.29105 + 14.4190i −0.171094 + 0.749610i
\(371\) −4.19687 + 18.3877i −0.217890 + 0.954640i
\(372\) −10.0082 12.5499i −0.518901 0.650681i
\(373\) −20.2467 9.75032i −1.04834 0.504852i −0.171272 0.985224i \(-0.554788\pi\)
−0.877065 + 0.480372i \(0.840502\pi\)
\(374\) −1.64310 7.19891i −0.0849629 0.372247i
\(375\) −12.4988 6.01911i −0.645435 0.310825i
\(376\) 2.66421 3.34081i 0.137396 0.172289i
\(377\) −8.73556 + 38.2730i −0.449904 + 1.97116i
\(378\) 10.5368 13.2128i 0.541956 0.679592i
\(379\) 5.79686 + 25.3977i 0.297765 + 1.30459i 0.873447 + 0.486919i \(0.161879\pi\)
−0.575683 + 0.817673i \(0.695264\pi\)
\(380\) −12.4547 −0.638914
\(381\) 25.2174 1.29193
\(382\) 6.02715 + 26.4067i 0.308376 + 1.35108i
\(383\) 7.69418 + 9.64819i 0.393154 + 0.493000i 0.938533 0.345190i \(-0.112186\pi\)
−0.545379 + 0.838190i \(0.683614\pi\)
\(384\) 11.3312 5.45684i 0.578245 0.278468i
\(385\) 3.89493 + 1.87570i 0.198504 + 0.0955944i
\(386\) 17.7506 0.903483
\(387\) 5.65668 + 7.60212i 0.287545 + 0.386438i
\(388\) 4.36898 0.221801
\(389\) 17.9417 + 8.64026i 0.909680 + 0.438079i 0.829375 0.558692i \(-0.188696\pi\)
0.0803044 + 0.996770i \(0.474411\pi\)
\(390\) −29.7630 + 14.3331i −1.50711 + 0.725785i
\(391\) 8.34481 + 10.4641i 0.422015 + 0.529191i
\(392\) −1.24914 5.47282i −0.0630909 0.276419i
\(393\) −2.56704 −0.129490
\(394\) 19.7506 0.995022
\(395\) 0.0304995 + 0.133627i 0.00153459 + 0.00672350i
\(396\) 1.27748 1.60191i 0.0641957 0.0804989i
\(397\) −2.03050 + 8.89620i −0.101908 + 0.446487i 0.898070 + 0.439852i \(0.144969\pi\)
−0.999978 + 0.00663518i \(0.997888\pi\)
\(398\) −27.3620 + 34.3109i −1.37153 + 1.71985i
\(399\) −8.44989 4.06925i −0.423023 0.203717i
\(400\) 0.0537617 + 0.235545i 0.00268808 + 0.0117773i
\(401\) −0.0392287 0.0188915i −0.00195899 0.000943398i 0.432904 0.901440i \(-0.357489\pi\)
−0.434863 + 0.900497i \(0.643203\pi\)
\(402\) 2.93900 + 3.68539i 0.146584 + 0.183811i
\(403\) 15.0296 65.8490i 0.748678 3.28017i
\(404\) −3.57188 + 15.6494i −0.177708 + 0.778589i
\(405\) 5.21648 2.51212i 0.259209 0.124828i
\(406\) −11.4058 14.3024i −0.566061 0.709818i
\(407\) −2.58964 + 3.24730i −0.128364 + 0.160963i
\(408\) 5.49396 2.64575i 0.271992 0.130984i
\(409\) 9.62833 4.63676i 0.476090 0.229273i −0.180420 0.983590i \(-0.557746\pi\)
0.656511 + 0.754316i \(0.272032\pi\)
\(410\) 11.0978 13.9162i 0.548083 0.687274i
\(411\) −12.1298 15.2103i −0.598320 0.750270i
\(412\) −4.17241 + 2.00933i −0.205560 + 0.0989924i
\(413\) −0.0598025 + 0.262012i −0.00294269 + 0.0128928i
\(414\) −2.15183 + 9.42780i −0.105757 + 0.463351i
\(415\) −17.2092 21.5797i −0.844769 1.05931i
\(416\) −36.4659 17.5611i −1.78789 0.861002i
\(417\) −1.96346 8.60248i −0.0961510 0.421265i
\(418\) −8.20560 3.95161i −0.401349 0.193279i
\(419\) −4.60202 + 5.77074i −0.224823 + 0.281919i −0.881431 0.472313i \(-0.843419\pi\)
0.656608 + 0.754232i \(0.271991\pi\)
\(420\) 1.31551 5.76363i 0.0641904 0.281236i
\(421\) 6.10537 7.65589i 0.297557 0.373125i −0.610468 0.792041i \(-0.709018\pi\)
0.908025 + 0.418916i \(0.137590\pi\)
\(422\) −4.13437 18.1139i −0.201258 0.881770i
\(423\) 4.55065 0.221260
\(424\) −15.1250 −0.734534
\(425\) 0.0392287 + 0.171872i 0.00190287 + 0.00833702i
\(426\) 5.21983 + 6.54546i 0.252902 + 0.317129i
\(427\) 1.08815 0.524023i 0.0526591 0.0253593i
\(428\) −5.67241 2.73169i −0.274186 0.132041i
\(429\) −9.27711 −0.447903
\(430\) 23.5221 + 12.3143i 1.13433 + 0.593850i
\(431\) 27.3297 1.31643 0.658214 0.752831i \(-0.271312\pi\)
0.658214 + 0.752831i \(0.271312\pi\)
\(432\) 24.6652 + 11.8781i 1.18670 + 0.571486i
\(433\) 2.50269 1.20523i 0.120272 0.0579197i −0.372780 0.927920i \(-0.621596\pi\)
0.493052 + 0.870000i \(0.335881\pi\)
\(434\) 19.6238 + 24.6074i 0.941972 + 1.18120i
\(435\) −3.74094 16.3901i −0.179364 0.785846i
\(436\) 2.71379 0.129967
\(437\) 16.5080 0.789683
\(438\) 0.716480 + 3.13910i 0.0342347 + 0.149992i
\(439\) 5.97434 7.49159i 0.285140 0.357554i −0.618547 0.785748i \(-0.712278\pi\)
0.903687 + 0.428194i \(0.140850\pi\)
\(440\) −0.771438 + 3.37989i −0.0367769 + 0.161130i
\(441\) 3.72737 4.67397i 0.177494 0.222570i
\(442\) −38.2814 18.4354i −1.82086 0.876881i
\(443\) −5.29052 23.1793i −0.251360 1.10128i −0.930217 0.367010i \(-0.880381\pi\)
0.678857 0.734271i \(-0.262476\pi\)
\(444\) 5.11745 + 2.46443i 0.242863 + 0.116957i
\(445\) −14.8768 18.6549i −0.705228 0.884328i
\(446\) −1.13610 + 4.97760i −0.0537961 + 0.235696i
\(447\) −1.60992 + 7.05350i −0.0761464 + 0.333619i
\(448\) 1.93416 0.931441i 0.0913803 0.0440064i
\(449\) −11.4412 14.3468i −0.539942 0.677065i 0.434768 0.900543i \(-0.356831\pi\)
−0.974709 + 0.223477i \(0.928259\pi\)
\(450\) −0.0794168 + 0.0995855i −0.00374374 + 0.00469451i
\(451\) 4.50365 2.16884i 0.212068 0.102127i
\(452\) 13.1969 6.35528i 0.620728 0.298927i
\(453\) −5.79172 + 7.26258i −0.272119 + 0.341226i
\(454\) −14.6773 18.4047i −0.688838 0.863775i
\(455\) 22.4121 10.7931i 1.05070 0.505989i
\(456\) 1.67360 7.33254i 0.0783737 0.343377i
\(457\) −8.85892 + 38.8135i −0.414403 + 1.81562i 0.148281 + 0.988945i \(0.452626\pi\)
−0.562684 + 0.826672i \(0.690231\pi\)
\(458\) −20.1286 25.2405i −0.940549 1.17941i
\(459\) 17.9976 + 8.66719i 0.840056 + 0.404550i
\(460\) 2.31551 + 10.1449i 0.107961 + 0.473009i
\(461\) 17.3257 + 8.34363i 0.806940 + 0.388602i 0.791416 0.611278i \(-0.209344\pi\)
0.0155237 + 0.999880i \(0.495058\pi\)
\(462\) 2.69537 3.37989i 0.125400 0.157247i
\(463\) −3.32855 + 14.5833i −0.154691 + 0.677745i 0.836793 + 0.547519i \(0.184428\pi\)
−0.991484 + 0.130226i \(0.958430\pi\)
\(464\) 18.4765 23.1688i 0.857750 1.07558i
\(465\) 6.43631 + 28.1993i 0.298477 + 1.30771i
\(466\) −16.8310 −0.779681
\(467\) 25.7904 1.19344 0.596720 0.802450i \(-0.296470\pi\)
0.596720 + 0.802450i \(0.296470\pi\)
\(468\) −2.62349 11.4943i −0.121271 0.531322i
\(469\) −2.21313 2.77517i −0.102193 0.128146i
\(470\) 11.4879 5.53229i 0.529898 0.255186i
\(471\) 14.8448 + 7.14889i 0.684013 + 0.329403i
\(472\) −0.215521 −0.00992014
\(473\) 4.45108 + 5.98190i 0.204661 + 0.275048i
\(474\) 0.137063 0.00629553
\(475\) 0.195906 + 0.0943435i 0.00898880 + 0.00432878i
\(476\) 6.85086 3.29920i 0.314008 0.151218i
\(477\) −10.0429 12.5934i −0.459832 0.576611i
\(478\) −2.90366 12.7218i −0.132810 0.581879i
\(479\) −29.7157 −1.35775 −0.678873 0.734256i \(-0.737531\pi\)
−0.678873 + 0.734256i \(0.737531\pi\)
\(480\) 17.3327 0.791127
\(481\) 5.31820 + 23.3006i 0.242489 + 1.06241i
\(482\) −0.123490 + 0.154851i −0.00562481 + 0.00705328i
\(483\) −1.74363 + 7.63933i −0.0793378 + 0.347602i
\(484\) −7.54706 + 9.46371i −0.343048 + 0.430169i
\(485\) −7.09299 3.41580i −0.322076 0.155104i
\(486\) 5.37920 + 23.5678i 0.244005 + 1.06906i
\(487\) −1.37047 0.659983i −0.0621019 0.0299067i 0.402575 0.915387i \(-0.368115\pi\)
−0.464677 + 0.885480i \(0.653830\pi\)
\(488\) 0.603875 + 0.757236i 0.0273362 + 0.0342785i
\(489\) −3.93631 + 17.2461i −0.178006 + 0.779896i
\(490\) 3.72737 16.3307i 0.168385 0.737744i
\(491\) −25.8245 + 12.4364i −1.16544 + 0.561249i −0.913638 0.406529i \(-0.866739\pi\)
−0.251807 + 0.967777i \(0.581025\pi\)
\(492\) −4.26205 5.34444i −0.192148 0.240946i
\(493\) 13.4819 16.9057i 0.607193 0.761396i
\(494\) −47.2165 + 22.7383i −2.12437 + 1.02304i
\(495\) −3.32640 + 1.60191i −0.149510 + 0.0720004i
\(496\) −31.7890 + 39.8621i −1.42737 + 1.78986i
\(497\) −3.93064 4.92887i −0.176313 0.221090i
\(498\) −24.8681 + 11.9758i −1.11437 + 0.536650i
\(499\) 4.63198 20.2940i 0.207356 0.908486i −0.758962 0.651135i \(-0.774293\pi\)
0.966318 0.257351i \(-0.0828497\pi\)
\(500\) 3.08695 13.5248i 0.138053 0.604848i
\(501\) −7.36443 9.23470i −0.329018 0.412576i
\(502\) 45.2911 + 21.8110i 2.02144 + 0.973475i
\(503\) −0.812396 3.55934i −0.0362229 0.158703i 0.953582 0.301134i \(-0.0973652\pi\)
−0.989805 + 0.142431i \(0.954508\pi\)
\(504\) −2.98911 1.43948i −0.133146 0.0641196i
\(505\) 18.0341 22.6141i 0.802509 1.00631i
\(506\) −1.69322 + 7.41847i −0.0752727 + 0.329791i
\(507\) −23.1761 + 29.0619i −1.02928 + 1.29068i
\(508\) 5.61141 + 24.5852i 0.248966 + 1.09079i
\(509\) −6.27114 −0.277964 −0.138982 0.990295i \(-0.544383\pi\)
−0.138982 + 0.990295i \(0.544383\pi\)
\(510\) 18.1957 0.805718
\(511\) −0.539524 2.36381i −0.0238671 0.104569i
\(512\) 10.6923 + 13.4077i 0.472538 + 0.592544i
\(513\) 22.1984 10.6902i 0.980081 0.471982i
\(514\) 4.32640 + 2.08348i 0.190829 + 0.0918985i
\(515\) 8.34481 0.367716
\(516\) 6.62080 7.75464i 0.291465 0.341379i
\(517\) 3.58078 0.157482
\(518\) −10.0341 4.83219i −0.440875 0.212314i
\(519\) 5.35086 2.57684i 0.234876 0.113111i
\(520\) 12.4378 + 15.5965i 0.545434 + 0.683952i
\(521\) 0.0286390 + 0.125476i 0.00125470 + 0.00549719i 0.975551 0.219771i \(-0.0705312\pi\)
−0.974297 + 0.225269i \(0.927674\pi\)
\(522\) 15.6233 0.683811
\(523\) −21.6209 −0.945414 −0.472707 0.881220i \(-0.656723\pi\)
−0.472707 + 0.881220i \(0.656723\pi\)
\(524\) −0.571220 2.50268i −0.0249539 0.109330i
\(525\) −0.0643513 + 0.0806940i −0.00280852 + 0.00352177i
\(526\) 9.67725 42.3988i 0.421948 1.84868i
\(527\) −23.1957 + 29.0864i −1.01042 + 1.26703i
\(528\) 6.30947 + 3.03848i 0.274584 + 0.132233i
\(529\) 2.04892 + 8.97689i 0.0890834 + 0.390300i
\(530\) −40.6628 19.5822i −1.76628 0.850595i
\(531\) −0.143104 0.179447i −0.00621019 0.00778733i
\(532\) 2.08695 9.14352i 0.0904807 0.396422i
\(533\) 6.40044 28.0421i 0.277234 1.21464i
\(534\) −21.4976 + 10.3527i −0.930292 + 0.448005i
\(535\) 7.07338 + 8.86973i 0.305809 + 0.383472i
\(536\) 1.77479 2.22552i 0.0766593 0.0961277i
\(537\) 1.85086 0.891325i 0.0798703 0.0384635i
\(538\) −48.9499 + 23.5731i −2.11038 + 1.01631i
\(539\) 2.93296 3.67782i 0.126332 0.158415i
\(540\) 9.68329 + 12.1425i 0.416703 + 0.522528i
\(541\) −12.6603 + 6.09689i −0.544310 + 0.262126i −0.685770 0.727818i \(-0.740535\pi\)
0.141460 + 0.989944i \(0.454820\pi\)
\(542\) 5.49007 24.0536i 0.235819 1.03319i
\(543\) 0.631687 2.76760i 0.0271083 0.118769i
\(544\) 13.8998 + 17.4298i 0.595948 + 0.747295i
\(545\) −4.40581 2.12173i −0.188724 0.0908848i
\(546\) −5.53534 24.2519i −0.236891 1.03789i
\(547\) 30.3913 + 14.6357i 1.29944 + 0.625777i 0.950312 0.311298i \(-0.100764\pi\)
0.349127 + 0.937075i \(0.386478\pi\)
\(548\) 12.1298 15.2103i 0.518160 0.649753i
\(549\) −0.229521 + 1.00560i −0.00979573 + 0.0429179i
\(550\) −0.0624909 + 0.0783611i −0.00266462 + 0.00334133i
\(551\) −5.93469 26.0016i −0.252826 1.10770i
\(552\) −6.28382 −0.267457
\(553\) −0.103211 −0.00438900
\(554\) 7.44773 + 32.6306i 0.316424 + 1.38634i
\(555\) −6.38135 8.00197i −0.270873 0.339665i
\(556\) 7.94989 3.82846i 0.337150 0.162363i
\(557\) −22.9376 11.0462i −0.971896 0.468040i −0.120586 0.992703i \(-0.538477\pi\)
−0.851310 + 0.524663i \(0.824192\pi\)
\(558\) −26.8799 −1.13792
\(559\) 42.8805 + 1.43657i 1.81365 + 0.0607606i
\(560\) −18.7778 −0.793506
\(561\) 4.60388 + 2.21711i 0.194376 + 0.0936064i
\(562\) 4.40970 2.12360i 0.186012 0.0895786i
\(563\) −4.00484 5.02192i −0.168784 0.211649i 0.690244 0.723576i \(-0.257503\pi\)
−0.859029 + 0.511928i \(0.828932\pi\)
\(564\) −1.08964 4.77402i −0.0458820 0.201022i
\(565\) −26.3937 −1.11039
\(566\) 30.6547 1.28851
\(567\) 0.970165 + 4.25057i 0.0407431 + 0.178507i
\(568\) 3.15213 3.95264i 0.132260 0.165849i
\(569\) 0.272398 1.19345i 0.0114195 0.0500321i −0.968897 0.247464i \(-0.920403\pi\)
0.980317 + 0.197432i \(0.0632600\pi\)
\(570\) 13.9928 17.5464i 0.586092 0.734937i
\(571\) 33.2657 + 16.0199i 1.39213 + 0.670413i 0.971548 0.236844i \(-0.0761130\pi\)
0.420578 + 0.907256i \(0.361827\pi\)
\(572\) −2.06435 9.04451i −0.0863149 0.378170i
\(573\) −16.8877 8.13268i −0.705493 0.339748i
\(574\) 8.35690 + 10.4792i 0.348810 + 0.437394i
\(575\) 0.0404251 0.177114i 0.00168584 0.00738616i
\(576\) −0.407969 + 1.78743i −0.0169987 + 0.0744762i
\(577\) 23.2364 11.1901i 0.967344 0.465848i 0.117610 0.993060i \(-0.462477\pi\)
0.849734 + 0.527212i \(0.176763\pi\)
\(578\) −4.50753 5.65227i −0.187489 0.235103i
\(579\) −7.65883 + 9.60387i −0.318290 + 0.399123i
\(580\) 15.1468 7.29429i 0.628935 0.302879i
\(581\) 18.7262 9.01805i 0.776892 0.374132i
\(582\) −4.90850 + 6.15507i −0.203464 + 0.255136i
\(583\) −7.90246 9.90937i −0.327286 0.410404i
\(584\) 1.75182 0.843634i 0.0724910 0.0349098i
\(585\) −4.72737 + 20.7119i −0.195452 + 0.856333i
\(586\) 4.42327 19.3796i 0.182724 0.800565i
\(587\) 5.87651 + 7.36891i 0.242550 + 0.304147i 0.888174 0.459508i \(-0.151974\pi\)
−0.645624 + 0.763655i \(0.723403\pi\)
\(588\) −5.79590 2.79116i −0.239019 0.115105i
\(589\) 10.2107 + 44.7359i 0.420724 + 1.84331i
\(590\) −0.579417 0.279032i −0.0238542 0.0114876i
\(591\) −8.52177 + 10.6860i −0.350539 + 0.439562i
\(592\) 4.01453 17.5888i 0.164996 0.722896i
\(593\) −5.43565 + 6.81609i −0.223215 + 0.279903i −0.880811 0.473468i \(-0.843002\pi\)
0.657596 + 0.753371i \(0.271573\pi\)
\(594\) 2.52715 + 11.0722i 0.103690 + 0.454296i
\(595\) −13.7017 −0.561715
\(596\) −7.23490 −0.296353
\(597\) −6.75786 29.6081i −0.276581 1.21178i
\(598\) 27.2995 + 34.2325i 1.11636 + 1.39987i
\(599\) −16.9194 + 8.14795i −0.691307 + 0.332916i −0.746337 0.665569i \(-0.768189\pi\)
0.0550292 + 0.998485i \(0.482475\pi\)
\(600\) −0.0745725 0.0359122i −0.00304441 0.00146611i
\(601\) −13.5646 −0.553313 −0.276657 0.960969i \(-0.589226\pi\)
−0.276657 + 0.960969i \(0.589226\pi\)
\(602\) −12.9819 + 15.2051i −0.529102 + 0.619713i
\(603\) 3.03146 0.123451
\(604\) −8.36927 4.03043i −0.340541 0.163996i
\(605\) 19.6516 9.46371i 0.798951 0.384755i
\(606\) −18.0341 22.6141i −0.732587 0.918635i
\(607\) 6.71714 + 29.4297i 0.272640 + 1.19452i 0.906883 + 0.421382i \(0.138455\pi\)
−0.634243 + 0.773134i \(0.718688\pi\)
\(608\) 27.4969 1.11515
\(609\) 12.6595 0.512989
\(610\) 0.643104 + 2.81762i 0.0260385 + 0.114082i
\(611\) 12.8467 16.1092i 0.519721 0.651709i
\(612\) −1.44504 + 6.33114i −0.0584124 + 0.255921i
\(613\) 2.80380 3.51585i 0.113244 0.142004i −0.721979 0.691915i \(-0.756767\pi\)
0.835223 + 0.549911i \(0.185339\pi\)
\(614\) −25.6434 12.3492i −1.03488 0.498374i
\(615\) 2.74094 + 12.0088i 0.110525 + 0.484243i
\(616\) −2.35205 1.13269i −0.0947669 0.0456373i
\(617\) −17.8056 22.3275i −0.716826 0.898871i 0.281328 0.959612i \(-0.409225\pi\)
−0.998154 + 0.0607405i \(0.980654\pi\)
\(618\) 1.85690 8.13559i 0.0746953 0.327262i
\(619\) 0.646457 2.83231i 0.0259833 0.113840i −0.960273 0.279061i \(-0.909977\pi\)
0.986257 + 0.165221i \(0.0528338\pi\)
\(620\) −26.0601 + 12.5499i −1.04660 + 0.504015i
\(621\) −12.8346 16.0941i −0.515034 0.645833i
\(622\) −13.8937 + 17.4222i −0.557088 + 0.698566i
\(623\) 16.1881 7.79580i 0.648564 0.312332i
\(624\) 36.3059 17.4840i 1.45340 0.699920i
\(625\) −15.7383 + 19.7351i −0.629530 + 0.789406i
\(626\) −6.55496 8.21966i −0.261989 0.328524i
\(627\) 5.67845 2.73460i 0.226775 0.109209i
\(628\) −3.66637 + 16.0634i −0.146304 + 0.640999i
\(629\) 2.92931 12.8342i 0.116799 0.511731i
\(630\) −6.17241 7.73995i −0.245915 0.308367i
\(631\) −13.6223 6.56015i −0.542295 0.261155i 0.142621 0.989777i \(-0.454447\pi\)
−0.684916 + 0.728622i \(0.740161\pi\)
\(632\) −0.0184179 0.0806940i −0.000732624 0.00320983i
\(633\) 11.5843 + 5.57869i 0.460433 + 0.221733i
\(634\) 29.4001 36.8665i 1.16763 1.46416i
\(635\) 10.1114 44.3010i 0.401259 1.75803i
\(636\) −10.8068 + 13.5513i −0.428517 + 0.537343i
\(637\) −6.02326 26.3896i −0.238650 1.04560i
\(638\) 12.2935 0.486704
\(639\) 5.38404 0.212989
\(640\) −5.04288 22.0943i −0.199337 0.873353i
\(641\) 2.12432 + 2.66381i 0.0839055 + 0.105214i 0.822012 0.569470i \(-0.192851\pi\)
−0.738107 + 0.674684i \(0.764280\pi\)
\(642\) 10.2213 4.92233i 0.403403 0.194269i
\(643\) −0.880395 0.423976i −0.0347194 0.0167200i 0.416443 0.909162i \(-0.363276\pi\)
−0.451163 + 0.892442i \(0.648991\pi\)
\(644\) −7.83579 −0.308773
\(645\) −16.8116 + 7.41323i −0.661957 + 0.291896i
\(646\) 28.8659 1.13571
\(647\) 14.8262 + 7.13990i 0.582876 + 0.280699i 0.701995 0.712181i \(-0.252293\pi\)
−0.119119 + 0.992880i \(0.538007\pi\)
\(648\) −3.15010 + 1.51701i −0.123748 + 0.0595938i
\(649\) −0.112605 0.141202i −0.00442012 0.00554266i
\(650\) 0.128334 + 0.562269i 0.00503368 + 0.0220540i
\(651\) −21.7808 −0.853655
\(652\) −17.6896 −0.692779
\(653\) −7.50066 32.8626i −0.293524 1.28601i −0.879584 0.475744i \(-0.842179\pi\)
0.586060 0.810267i \(-0.300678\pi\)
\(654\) −3.04892 + 3.82322i −0.119222 + 0.149500i
\(655\) −1.02930 + 4.50967i −0.0402182 + 0.176207i
\(656\) −13.5375 + 16.9755i −0.528551 + 0.662781i
\(657\) 1.86563 + 0.898438i 0.0727850 + 0.0350514i
\(658\) 2.13653 + 9.36075i 0.0832906 + 0.364920i
\(659\) 31.6247 + 15.2297i 1.23193 + 0.593264i 0.932608 0.360890i \(-0.117527\pi\)
0.299317 + 0.954154i \(0.403241\pi\)
\(660\) 2.47703 + 3.10610i 0.0964184 + 0.120905i
\(661\) −0.468837 + 2.05411i −0.0182356 + 0.0798955i −0.983227 0.182386i \(-0.941618\pi\)
0.964991 + 0.262282i \(0.0844750\pi\)
\(662\) −7.32424 + 32.0896i −0.284665 + 1.24720i
\(663\) 26.4916 12.7577i 1.02885 0.495467i
\(664\) 10.3922 + 13.0315i 0.403297 + 0.505719i
\(665\) −10.5368 + 13.2128i −0.408601 + 0.512369i
\(666\) 8.56949 4.12685i 0.332061 0.159912i
\(667\) −20.0761 + 9.66812i −0.777348 + 0.374351i
\(668\) 7.36443 9.23470i 0.284938 0.357301i
\(669\) −2.20291 2.76236i −0.0851693 0.106799i
\(670\) 7.65279 3.68539i 0.295653 0.142379i
\(671\) −0.180604 + 0.791277i −0.00697213 + 0.0305469i
\(672\) −2.90432 + 12.7247i −0.112037 + 0.490865i
\(673\) 10.9088 + 13.6792i 0.420503 + 0.527294i 0.946289 0.323323i \(-0.104800\pi\)
−0.525785 + 0.850617i \(0.676229\pi\)
\(674\) 11.5124 + 5.54407i 0.443440 + 0.213550i
\(675\) −0.0603349 0.264345i −0.00232229 0.0101746i
\(676\) −33.4904 16.1281i −1.28809 0.620312i
\(677\) −18.3463 + 23.0055i −0.705106 + 0.884175i −0.997393 0.0721557i \(-0.977012\pi\)
0.292288 + 0.956330i \(0.405584\pi\)
\(678\) −5.87316 + 25.7320i −0.225557 + 0.988231i
\(679\) 3.69620 4.63489i 0.141847 0.177871i
\(680\) −2.44504 10.7124i −0.0937631 0.410803i
\(681\) 16.2905 0.624254
\(682\) −21.1511 −0.809916
\(683\) 11.5378 + 50.5504i 0.441481 + 1.93426i 0.343815 + 0.939038i \(0.388281\pi\)
0.0976667 + 0.995219i \(0.468862\pi\)
\(684\) 4.99396 + 6.26223i 0.190949 + 0.239442i
\(685\) −31.5846 + 15.2103i −1.20678 + 0.581156i
\(686\) 30.5933 + 14.7329i 1.16806 + 0.562507i
\(687\) 22.3411 0.852366
\(688\) −28.6930 15.0214i −1.09391 0.572687i
\(689\) −72.9318 −2.77848
\(690\) −16.8937 8.13559i −0.643133 0.309717i
\(691\) −1.13826 + 0.548157i −0.0433014 + 0.0208529i −0.455409 0.890282i \(-0.650507\pi\)
0.412108 + 0.911135i \(0.364793\pi\)
\(692\) 3.70291 + 4.64330i 0.140763 + 0.176512i
\(693\) −0.618645 2.71046i −0.0235004 0.102962i
\(694\) −5.79225 −0.219871
\(695\) −15.8998 −0.603113
\(696\) 2.25906 + 9.89759i 0.0856295 + 0.375167i
\(697\) −9.87800 + 12.3866i −0.374156 + 0.469177i
\(698\) −10.9666 + 48.0477i −0.415091 + 1.81863i
\(699\) 7.26205 9.10632i 0.274676 0.344433i
\(700\) −0.0929903 0.0447818i −0.00351470 0.00169259i
\(701\) −7.56398 33.1400i −0.285688 1.25168i −0.890379 0.455220i \(-0.849561\pi\)
0.604691 0.796460i \(-0.293296\pi\)
\(702\) 58.8781 + 28.3542i 2.22221 + 1.07016i
\(703\) −10.1235 12.6945i −0.381815 0.478780i
\(704\) −0.321020 + 1.40648i −0.0120989 + 0.0530087i
\(705\) −1.96346 + 8.60248i −0.0739482 + 0.323988i
\(706\) 37.4991 18.0586i 1.41130 0.679645i
\(707\) 13.5801 + 17.0289i 0.510732 + 0.640437i
\(708\) −0.153989 + 0.193096i −0.00578727 + 0.00725701i
\(709\) −31.6797 + 15.2561i −1.18976 + 0.572956i −0.920739 0.390179i \(-0.872413\pi\)
−0.269017 + 0.963135i \(0.586699\pi\)
\(710\) 13.5918 6.54546i 0.510091 0.245647i
\(711\) 0.0549581 0.0689153i 0.00206109 0.00258453i
\(712\) 8.98374 + 11.2653i 0.336680 + 0.422183i
\(713\) 34.5410 16.6341i 1.29357 0.622951i
\(714\) −3.04892 + 13.3582i −0.114103 + 0.499917i
\(715\) −3.71983 + 16.2977i −0.139114 + 0.609498i
\(716\) 1.28083 + 1.60611i 0.0478669 + 0.0600232i
\(717\) 8.13587 + 3.91803i 0.303840 + 0.146321i
\(718\) 0.102147 + 0.447533i 0.00381208 + 0.0167018i
\(719\) −22.0722 10.6294i −0.823153 0.396410i −0.0256105 0.999672i \(-0.508153\pi\)
−0.797543 + 0.603262i \(0.793867\pi\)
\(720\) 9.99880 12.5381i 0.372633 0.467268i
\(721\) −1.39828 + 6.12627i −0.0520747 + 0.228154i
\(722\) 0.852052 1.06844i 0.0317101 0.0397632i
\(723\) −0.0304995 0.133627i −0.00113429 0.00496964i
\(724\) 2.83877 0.105502
\(725\) −0.293504 −0.0109005
\(726\) −4.85354 21.2648i −0.180132 0.789209i
\(727\) −24.3071 30.4801i −0.901500 1.13044i −0.990920 0.134451i \(-0.957073\pi\)
0.0894207 0.995994i \(-0.471498\pi\)
\(728\) −13.5341 + 6.51770i −0.501609 + 0.241562i
\(729\) −22.0368 10.6124i −0.816179 0.393051i
\(730\) 5.80194 0.214739
\(731\) −20.9366 10.9608i −0.774368 0.405399i
\(732\) 1.10992 0.0410237
\(733\) 5.28232 + 2.54383i 0.195107 + 0.0939586i 0.528886 0.848693i \(-0.322610\pi\)
−0.333779 + 0.942651i \(0.608324\pi\)
\(734\) 24.0426 11.5783i 0.887430 0.427364i
\(735\) 7.22737 + 9.06283i 0.266585 + 0.334287i
\(736\) −5.11207 22.3975i −0.188433 0.825581i
\(737\) 2.38537 0.0878663
\(738\) −11.4470 −0.421368
\(739\) 5.02542 + 22.0178i 0.184863 + 0.809938i 0.979271 + 0.202553i \(0.0649240\pi\)
−0.794408 + 0.607384i \(0.792219\pi\)
\(740\) 6.38135 8.00197i 0.234583 0.294158i
\(741\) 8.07002 35.3571i 0.296460 1.29887i
\(742\) 21.1896 26.5710i 0.777896 0.975450i
\(743\) 40.4424 + 19.4760i 1.48369 + 0.714507i 0.988066 0.154032i \(-0.0492258\pi\)
0.495622 + 0.868538i \(0.334940\pi\)
\(744\) −3.88673 17.0289i −0.142494 0.624309i
\(745\) 11.7458 + 5.65647i 0.430332 + 0.207237i
\(746\) 25.2473 + 31.6591i 0.924368 + 1.15912i
\(747\) −3.94989 + 17.3056i −0.144519 + 0.633178i
\(748\) −1.13706 + 4.98180i −0.0415752 + 0.182153i
\(749\) −7.69687 + 3.70662i −0.281237 + 0.135437i
\(750\) 15.5858 + 19.5439i 0.569111 + 0.713643i
\(751\) −0.297093 + 0.372543i −0.0108411 + 0.0135943i −0.787222 0.616669i \(-0.788482\pi\)
0.776381 + 0.630263i \(0.217053\pi\)
\(752\) −14.0133 + 6.74847i −0.511014 + 0.246091i
\(753\) −31.3424 + 15.0937i −1.14218 + 0.550046i
\(754\) 44.1051 55.3061i 1.60621 2.01413i
\(755\) 10.4363 + 13.0867i 0.379816 + 0.476275i
\(756\) −10.5368 + 5.07427i −0.383221 + 0.184550i
\(757\) 2.40001 10.5151i 0.0872298 0.382179i −0.912402 0.409294i \(-0.865775\pi\)
0.999632 + 0.0271153i \(0.00863213\pi\)
\(758\) 10.4456 45.7651i 0.379400 1.66226i
\(759\) −3.28315 4.11694i −0.119171 0.149436i
\(760\) −12.2104 5.88024i −0.442919 0.213299i
\(761\) −1.97381 8.64784i −0.0715506 0.313484i 0.926470 0.376368i \(-0.122827\pi\)
−0.998021 + 0.0628843i \(0.979970\pi\)
\(762\) −40.9403 19.7158i −1.48311 0.714228i
\(763\) 2.29590 2.87896i 0.0831171 0.104225i
\(764\) 4.17092 18.2740i 0.150898 0.661129i
\(765\) 7.29590 9.14877i 0.263784 0.330774i
\(766\) −4.94816 21.6793i −0.178784 0.783305i
\(767\) −1.03923 −0.0375244
\(768\) −25.8267 −0.931940
\(769\) −8.63222 37.8202i −0.311286 1.36383i −0.852403 0.522885i \(-0.824856\pi\)
0.541117 0.840947i \(-0.318001\pi\)
\(770\) −4.85690 6.09035i −0.175030 0.219481i
\(771\) −2.99396 + 1.44181i −0.107825 + 0.0519257i
\(772\) −11.0673 5.32975i −0.398322 0.191822i
\(773\) 44.4730