Properties

Label 43.2.e.a.41.1
Level $43$
Weight $2$
Character 43.41
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 41.1
Root \(-0.623490 - 0.781831i\) of defining polynomial
Character \(\chi\) \(=\) 43.41
Dual form 43.2.e.a.21.1

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

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 −0.908426 0.418045i \(-0.862716\pi\)
−0.239554 + 0.970883i \(0.577001\pi\)
\(3\) 1.12349 + 0.541044i 0.648647 + 0.312372i 0.729121 0.684385i \(-0.239929\pi\)
−0.0804740 + 0.996757i \(0.525643\pi\)
\(4\) 0.777479 0.974928i 0.388740 0.487464i
\(5\) −0.500000 + 2.19064i −0.223607 + 0.979685i 0.731131 + 0.682237i \(0.238993\pi\)
−0.954738 + 0.297448i \(0.903864\pi\)
\(6\) −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 0.663381 0.748282i \(-0.269121\pi\)
−0.877137 + 0.480240i \(0.840549\pi\)
\(12\) 1.40097 0.674671i 0.404425 0.194761i
\(13\) 1.45593 6.37883i 0.403801 1.76917i −0.207970 0.978135i \(-0.566686\pi\)
0.611771 0.791035i \(-0.290457\pi\)
\(14\) −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 0.974143 + 0.225931i \(0.0725425\pi\)
−0.779645 + 0.626222i \(0.784600\pi\)
\(18\) 2.34601 + 1.12978i 0.552960 + 0.266292i
\(19\) −2.77144 + 3.47527i −0.635812 + 0.797282i −0.990472 0.137713i \(-0.956025\pi\)
0.354661 + 0.934995i \(0.384596\pi\)
\(20\) 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 0.479440 0.877575i \(-0.340840\pi\)
−0.962257 + 0.272141i \(0.912268\pi\)
\(24\) 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 0.141596 0.989924i \(-0.454777\pi\)
0.862238 + 0.506503i \(0.169062\pi\)
\(30\) 1.12349 4.92233i 0.205120 0.898690i
\(31\) −9.30074 + 4.47900i −1.67046 + 0.804452i −0.672538 + 0.740063i \(0.734796\pi\)
−0.997925 + 0.0643894i \(0.979490\pi\)
\(32\) −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 −0.716802 0.697276i \(-0.754395\pi\)
0.0982338 + 0.995163i \(0.468681\pi\)
\(42\) −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 −0.904131 0.427255i \(-0.859481\pi\)
0.617731 + 0.786389i \(0.288052\pi\)
\(48\) −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 −0.797585 0.603206i \(-0.793890\pi\)
0.456878 0.889529i \(-0.348968\pi\)
\(54\) 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 0.972575 0.232589i \(-0.0747197\pi\)
−0.977176 + 0.212429i \(0.931863\pi\)
\(60\) 0.777479 + 3.40636i 0.100372 + 0.439759i
\(61\) 0.643104 + 0.309703i 0.0823410 + 0.0396534i 0.474601 0.880201i \(-0.342592\pi\)
−0.392260 + 0.919854i \(0.628307\pi\)
\(62\) 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 −0.855283 0.518161i \(-0.826617\pi\)
0.695488 + 0.718538i \(0.255188\pi\)
\(68\) 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 −0.900331 0.435206i \(-0.856676\pi\)
0.624637 + 0.780916i \(0.285247\pi\)
\(72\) −1.76659 + 0.850747i −0.208195 + 0.100261i
\(73\) −0.318864 + 1.39703i −0.0373202 + 0.163510i −0.990154 0.139982i \(-0.955296\pi\)
0.952834 + 0.303492i \(0.0981527\pi\)
\(74\) −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 0.927858 0.372933i \(-0.121648\pi\)
0.286940 + 0.957949i \(0.407362\pi\)
\(84\) 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 0.865712 0.500542i \(-0.166866\pi\)
0.148423 + 0.988924i \(0.452580\pi\)
\(90\) −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 0.880265 0.474483i \(-0.157365\pi\)
−0.658464 + 0.752613i \(0.728793\pi\)
\(98\) 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 −0.201149 0.979561i \(-0.564468\pi\)
0.999761 0.0218670i \(-0.00696105\pi\)
\(102\) −1.80194 7.89481i −0.178418 0.781702i
\(103\) −0.826396 3.62068i −0.0814273 0.356756i 0.917757 0.397143i \(-0.129998\pi\)
−0.999184 + 0.0403866i \(0.987141\pi\)
\(104\) −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 0.200884 0.979615i \(-0.435619\pi\)
−0.640645 + 0.767838i \(0.721333\pi\)
\(108\) −6.22737 2.99894i −0.599229 0.288573i
\(109\) 1.35690 + 1.70149i 0.129967 + 0.162974i 0.842557 0.538607i \(-0.181049\pi\)
−0.712590 + 0.701581i \(0.752478\pi\)
\(110\) −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 0.935558 + 0.353174i \(0.114898\pi\)
−0.689672 + 0.724122i \(0.742245\pi\)
\(114\) 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 0.616811 0.787111i \(-0.288424\pi\)
0.999964 + 0.00851340i \(0.00270993\pi\)
\(128\) 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 −0.513150 0.858299i \(-0.671522\pi\)
0.351101 + 0.936338i \(0.385807\pi\)
\(132\) −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 0.578545 + 0.815651i \(0.303621\pi\)
−0.875148 + 0.483855i \(0.839236\pi\)
\(138\) 5.20291 + 6.52424i 0.442901 + 0.555380i
\(139\) 1.57457 + 6.89865i 0.133553 + 0.585136i 0.996770 + 0.0803030i \(0.0255888\pi\)
−0.863217 + 0.504833i \(0.831554\pi\)
\(140\) 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 0.611255 0.791434i \(-0.290665\pi\)
−0.907608 + 0.419819i \(0.862094\pi\)
\(150\) 0.0990311 + 0.0476909i 0.00808586 + 0.00389394i
\(151\) −6.71164 3.23215i −0.546185 0.263029i 0.140379 0.990098i \(-0.455168\pi\)
−0.686565 + 0.727069i \(0.740882\pi\)
\(152\) 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 −0.335583 0.942011i \(-0.608933\pi\)
0.993067 + 0.117552i \(0.0375047\pi\)
\(158\) 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 0.303682 0.952774i \(-0.401784\pi\)
−0.996461 + 0.0840557i \(0.973213\pi\)
\(164\) −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 0.825543 + 0.564340i \(0.190869\pi\)
−0.988646 + 0.150263i \(0.951988\pi\)
\(168\) 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 0.831779 0.555106i \(-0.187322\pi\)
−0.726277 + 0.687402i \(0.758751\pi\)
\(182\) 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 −0.995181 0.0980593i \(-0.968737\pi\)
0.317049 + 0.948409i \(0.397308\pi\)
\(192\) 0.986426 + 1.23694i 0.0711892 + 0.0892684i
\(193\) −8.87531 4.27413i −0.638859 0.307658i 0.0862695 0.996272i \(-0.472505\pi\)
−0.725129 + 0.688614i \(0.758220\pi\)
\(194\) −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 0.0476483 0.998864i \(-0.484827\pi\)
−0.751235 + 0.660035i \(0.770542\pi\)
\(198\) −0.658834 2.88654i −0.0468213 0.205137i
\(199\) 5.41939 + 23.7439i 0.384170 + 1.68316i 0.684252 + 0.729246i \(0.260129\pi\)
−0.300082 + 0.953914i \(0.597014\pi\)
\(200\) −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 −0.509645 0.860385i \(-0.670223\pi\)
0.952220 + 0.305413i \(0.0987945\pi\)
\(212\) −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 −0.991641 0.129027i \(-0.958815\pi\)
0.949420 + 0.314008i \(0.101672\pi\)
\(224\) −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 −0.000377606 1.00000i \(-0.500120\pi\)
0.781596 + 0.623785i \(0.214406\pi\)
\(228\) −1.53803 + 6.73856i −0.101859 + 0.446272i
\(229\) 16.1419 7.77353i 1.06669 0.513690i 0.183650 0.982992i \(-0.441209\pi\)
0.883038 + 0.469302i \(0.155495\pi\)
\(230\) −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 0.688736 0.725012i \(-0.258166\pi\)
−0.137418 + 0.990513i \(0.543880\pi\)
\(234\) 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 −0.614058 0.789261i \(-0.710464\pi\)
0.906113 + 0.423035i \(0.139035\pi\)
\(240\) −12.4683 6.00442i −0.804826 0.387584i
\(241\) 0.0244587 + 0.107160i 0.00157552 + 0.00690281i 0.975710 0.219068i \(-0.0703017\pi\)
−0.974134 + 0.225971i \(0.927445\pi\)
\(242\) 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 −0.485736 0.874106i \(-0.661448\pi\)
0.816893 0.576789i \(-0.195695\pi\)
\(264\) −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 0.881024 + 0.473071i \(0.156855\pi\)
0.265164 + 0.964203i \(0.414574\pi\)
\(270\) −20.2201 + 9.73750i −1.23056 + 0.592605i
\(271\) 3.04676 13.3487i 0.185078 0.810878i −0.794086 0.607805i \(-0.792050\pi\)
0.979164 0.203073i \(-0.0650927\pi\)
\(272\) −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 −0.996704 0.0811212i \(-0.974150\pi\)
0.300875 + 0.953664i \(0.402721\pi\)
\(278\) −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 0.728748 0.684782i \(-0.240103\pi\)
−0.829775 + 0.558099i \(0.811531\pi\)
\(282\) 4.41185 5.53229i 0.262722 0.329443i
\(283\) −15.3274 7.38127i −0.911117 0.438771i −0.0812254 0.996696i \(-0.525883\pi\)
−0.829891 + 0.557925i \(0.811598\pi\)
\(284\) 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 −0.851222 0.524805i \(-0.824138\pi\)
0.994629 0.103502i \(-0.0330047\pi\)
\(294\) 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 0.991057 + 0.133437i \(0.0426013\pi\)
−0.835016 + 0.550226i \(0.814542\pi\)
\(312\) −6.90246 8.65541i −0.390775 0.490016i
\(313\) 5.25667 2.53148i 0.297124 0.143088i −0.279382 0.960180i \(-0.590130\pi\)
0.576507 + 0.817092i \(0.304415\pi\)
\(314\) −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 −0.824715 0.565548i \(-0.808665\pi\)
0.497660 0.867372i \(-0.334193\pi\)
\(318\) 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 0.731474 + 0.681869i \(0.238833\pi\)
−0.954887 + 0.296968i \(0.904025\pi\)
\(332\) 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 0.510002 0.860173i \(-0.329645\pi\)
−0.354530 + 0.935045i \(0.615359\pi\)
\(348\) 5.81700 7.29429i 0.311824 0.391015i
\(349\) −6.08599 + 26.6645i −0.325776 + 1.42732i 0.501324 + 0.865260i \(0.332847\pi\)
−0.827099 + 0.562056i \(0.810010\pi\)
\(350\) 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 0.233435 0.972372i \(-0.425003\pi\)
−0.999937 + 0.0112093i \(0.996432\pi\)
\(354\) 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 −0.786005 0.618220i \(-0.787854\pi\)
0.777622 + 0.628732i \(0.216426\pi\)
\(360\) −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 0.480079 0.877225i \(-0.340608\pi\)
−0.962059 + 0.272842i \(0.912037\pi\)
\(368\) 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 −0.877065 0.480372i \(-0.840502\pi\)
−0.171272 + 0.985224i \(0.554788\pi\)
\(374\) −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 −0.575683 0.817673i \(-0.695264\pi\)
0.873447 0.486919i \(-0.161879\pi\)
\(380\) −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 −0.545379 0.838190i \(-0.683614\pi\)
0.938533 + 0.345190i \(0.112186\pi\)
\(384\) 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 0.0803044 0.996770i \(-0.474411\pi\)
0.829375 + 0.558692i \(0.188696\pi\)
\(390\) −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 −0.999978 0.00663518i \(-0.997888\pi\)
0.898070 0.439852i \(-0.144969\pi\)
\(398\) −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 −0.434863 0.900497i \(-0.643203\pi\)
0.432904 + 0.901440i \(0.357489\pi\)
\(402\) 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 0.656511 0.754316i \(-0.272032\pi\)
−0.180420 + 0.983590i \(0.557746\pi\)
\(410\) 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 0.656608 0.754232i \(-0.271991\pi\)
−0.881431 + 0.472313i \(0.843419\pi\)
\(420\) 1.31551 + 5.76363i 0.0641904 + 0.281236i
\(421\) 6.10537 + 7.65589i 0.297557 + 0.373125i 0.908025 0.418916i \(-0.137590\pi\)
−0.610468 + 0.792041i \(0.709018\pi\)
\(422\) −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 0.493052 0.870000i \(-0.335881\pi\)
−0.372780 + 0.927920i \(0.621596\pi\)
\(434\) 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 0.903687 0.428194i \(-0.140850\pi\)
−0.618547 + 0.785748i \(0.712278\pi\)
\(440\) −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 0.678857 + 0.734271i \(0.262476\pi\)
−0.930217 + 0.367010i \(0.880381\pi\)
\(444\) 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 −0.974709 0.223477i \(-0.928259\pi\)
0.434768 + 0.900543i \(0.356831\pi\)
\(450\) −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 −0.562684 0.826672i \(-0.690231\pi\)
0.148281 0.988945i \(-0.452626\pi\)
\(458\) −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 0.0155237 0.999880i \(-0.495058\pi\)
0.791416 + 0.611278i \(0.209344\pi\)
\(462\) 2.69537 + 3.37989i 0.125400 + 0.157247i
\(463\) −3.32855 14.5833i −0.154691 0.677745i −0.991484 0.130226i \(-0.958430\pi\)
0.836793 0.547519i \(-0.184428\pi\)
\(464\) 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 −0.464677 0.885480i \(-0.653830\pi\)
0.402575 + 0.915387i \(0.368115\pi\)
\(488\) 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 −0.251807 0.967777i \(-0.581025\pi\)
−0.913638 + 0.406529i \(0.866739\pi\)
\(492\) −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 0.966318 + 0.257351i \(0.0828497\pi\)
−0.758962 + 0.651135i \(0.774293\pi\)
\(500\) 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 −0.989805 0.142431i \(-0.954508\pi\)
0.953582 + 0.301134i \(0.0973652\pi\)
\(504\) −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 −0.974297 0.225269i \(-0.927674\pi\)
0.975551 + 0.219771i \(0.0705312\pi\)
\(522\) 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 0.141460 0.989944i \(-0.454820\pi\)
−0.685770 + 0.727818i \(0.740535\pi\)
\(542\) 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 0.349127 0.937075i \(-0.386478\pi\)
0.950312 + 0.311298i \(0.100764\pi\)
\(548\) 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 −0.851310 0.524663i \(-0.824192\pi\)
−0.120586 + 0.992703i \(0.538477\pi\)
\(558\) −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 −0.859029 0.511928i \(-0.828932\pi\)
0.690244 + 0.723576i \(0.257503\pi\)
\(564\) −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 0.980317 0.197432i \(-0.0632600\pi\)
−0.968897 + 0.247464i \(0.920403\pi\)
\(570\) 13.9928 + 17.5464i 0.586092 + 0.734937i
\(571\) 33.2657 16.0199i 1.39213 0.670413i 0.420578 0.907256i \(-0.361827\pi\)
0.971548 + 0.236844i \(0.0761130\pi\)
\(572\) −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 0.849734 0.527212i \(-0.176763\pi\)
0.117610 + 0.993060i \(0.462477\pi\)
\(578\) −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 −0.645624 0.763655i \(-0.723403\pi\)
0.888174 + 0.459508i \(0.151974\pi\)
\(588\) −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 0.657596 0.753371i \(-0.271573\pi\)
−0.880811 + 0.473468i \(0.843002\pi\)
\(594\) 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 0.0550292 0.998485i \(-0.482475\pi\)
−0.746337 + 0.665569i \(0.768189\pi\)
\(600\) −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 −0.634243 0.773134i \(-0.718688\pi\)
0.906883 0.421382i \(-0.138455\pi\)
\(608\) 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 0.835223 0.549911i \(-0.185339\pi\)
−0.721979 + 0.691915i \(0.756767\pi\)
\(614\) −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 −0.998154 0.0607405i \(-0.980654\pi\)
0.281328 + 0.959612i \(0.409225\pi\)
\(618\) 1.85690 + 8.13559i 0.0746953 + 0.327262i
\(619\) 0.646457 + 2.83231i 0.0259833 + 0.113840i 0.986257 0.165221i \(-0.0528338\pi\)
−0.960273 + 0.279061i \(0.909977\pi\)
\(620\) −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 −0.684916 0.728622i \(-0.740161\pi\)
0.142621 + 0.989777i \(0.454447\pi\)
\(632\) −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 −0.738107 0.674684i \(-0.764280\pi\)
0.822012 + 0.569470i \(0.192851\pi\)
\(642\) 10.2213 + 4.92233i 0.403403 + 0.194269i
\(643\) −0.880395 + 0.423976i −0.0347194 + 0.0167200i −0.451163 0.892442i \(-0.648991\pi\)
0.416443 + 0.909162i \(0.363276\pi\)
\(644\) −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 −0.119119 0.992880i \(-0.538007\pi\)
0.701995 + 0.712181i \(0.252293\pi\)
\(648\) −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 0.586060 + 0.810267i \(0.300678\pi\)
−0.879584 + 0.475744i \(0.842179\pi\)
\(654\) −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 0.299317 0.954154i \(-0.403241\pi\)
0.932608 + 0.360890i \(0.117527\pi\)
\(660\) 2.47703 3.10610i 0.0964184 0.120905i
\(661\) −0.468837 2.05411i −0.0182356 0.0798955i 0.964991 0.262282i \(-0.0844750\pi\)
−0.983227 + 0.182386i \(0.941618\pi\)
\(662\) −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 −0.525785 0.850617i \(-0.676229\pi\)
0.946289 + 0.323323i \(0.104800\pi\)
\(674\) 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 0.292288 0.956330i \(-0.405584\pi\)
−0.997393 + 0.0721557i \(0.977012\pi\)
\(678\) −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 0.0976667 0.995219i \(-0.468862\pi\)
0.343815 0.939038i \(-0.388281\pi\)
\(684\) 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 0.412108 0.911135i \(-0.364793\pi\)
−0.455409 + 0.890282i \(0.650507\pi\)
\(692\) 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 0.604691 + 0.796460i \(0.293296\pi\)
−0.890379 + 0.455220i \(0.849561\pi\)
\(702\) 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 −0.269017 0.963135i \(-0.586699\pi\)
−0.920739 + 0.390179i \(0.872413\pi\)
\(710\) 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 −0.797543 0.603262i \(-0.793867\pi\)
−0.0256105 + 0.999672i \(0.508153\pi\)
\(720\) 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 0.0894207 + 0.995994i \(0.471498\pi\)
−0.990920 + 0.134451i \(0.957073\pi\)
\(728\) −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 −0.333779 0.942651i \(-0.608324\pi\)
0.528886 + 0.848693i \(0.322610\pi\)
\(734\) 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 −0.794408 0.607384i \(-0.792219\pi\)
0.979271 0.202553i \(-0.0649240\pi\)
\(740\) 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 0.495622 0.868538i \(-0.334940\pi\)
0.988066 + 0.154032i \(0.0492258\pi\)
\(744\) −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 0.776381 0.630263i \(-0.217053\pi\)
−0.787222 + 0.616669i \(0.788482\pi\)
\(752\) −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 0.999632 0.0271153i \(-0.00863213\pi\)
−0.912402 + 0.409294i \(0.865775\pi\)
\(758\) 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 −0.998021 0.0628843i \(-0.979970\pi\)
0.926470 + 0.376368i \(0.122827\pi\)
\(762\) −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 0.541117 + 0.840947i \(0.318001\pi\)
−0.852403 + 0.522885i \(0.824856\pi\)
\(770\) −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