Properties

Label 403.2.l.c.25.10
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.10
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.25

$q$-expansion

\(f(q)\) \(=\) \(q-1.46972i q^{2} +(0.869265 + 1.50561i) q^{3} -0.160067 q^{4} +(0.337316 + 0.194750i) q^{5} +(2.21282 - 1.27757i) q^{6} +(1.34672 - 0.777530i) q^{7} -2.70418i q^{8} +(-0.0112448 + 0.0194765i) q^{9} +O(q^{10})\) \(q-1.46972i q^{2} +(0.869265 + 1.50561i) q^{3} -0.160067 q^{4} +(0.337316 + 0.194750i) q^{5} +(2.21282 - 1.27757i) q^{6} +(1.34672 - 0.777530i) q^{7} -2.70418i q^{8} +(-0.0112448 + 0.0194765i) q^{9} +(0.286227 - 0.495759i) q^{10} +(0.846696 + 0.488840i) q^{11} +(-0.139141 - 0.240999i) q^{12} +(-2.33127 + 2.75049i) q^{13} +(-1.14275 - 1.97930i) q^{14} +0.677157i q^{15} -4.29451 q^{16} +(1.62295 + 2.81103i) q^{17} +(0.0286250 + 0.0165267i) q^{18} +(2.33691 - 1.34921i) q^{19} +(-0.0539932 - 0.0311730i) q^{20} +(2.34132 + 1.35176i) q^{21} +(0.718456 - 1.24440i) q^{22} +3.56702 q^{23} +(4.07145 - 2.35065i) q^{24} +(-2.42415 - 4.19874i) q^{25} +(4.04244 + 3.42631i) q^{26} +5.17649 q^{27} +(-0.215566 + 0.124457i) q^{28} +2.24686 q^{29} +0.995228 q^{30} +(-5.55918 + 0.308974i) q^{31} +0.903357i q^{32} +1.69973i q^{33} +(4.13142 - 2.38527i) q^{34} +0.605695 q^{35} +(0.00179992 - 0.00311755i) q^{36} +(-5.27552 + 3.04582i) q^{37} +(-1.98296 - 3.43459i) q^{38} +(-6.16766 - 1.11908i) q^{39} +(0.526638 - 0.912164i) q^{40} +(-1.79085 - 1.03395i) q^{41} +(1.98670 - 3.44107i) q^{42} +(-1.47008 - 2.54626i) q^{43} +(-0.135528 - 0.0782472i) q^{44} +(-0.00758610 + 0.00437984i) q^{45} -5.24251i q^{46} +11.5129i q^{47} +(-3.73307 - 6.46587i) q^{48} +(-2.29089 + 3.96794i) q^{49} +(-6.17096 + 3.56281i) q^{50} +(-2.82155 + 4.88706i) q^{51} +(0.373160 - 0.440263i) q^{52} +(4.84072 - 8.38438i) q^{53} -7.60798i q^{54} +(0.190403 + 0.329787i) q^{55} +(-2.10258 - 3.64178i) q^{56} +(4.06278 + 2.34565i) q^{57} -3.30225i q^{58} +(-1.85412 + 1.07048i) q^{59} -0.108390i q^{60} -10.4105 q^{61} +(0.454104 + 8.17043i) q^{62} +0.0349727i q^{63} -7.26135 q^{64} +(-1.32203 + 0.473770i) q^{65} +2.49812 q^{66} +(-10.4078 - 6.00894i) q^{67} +(-0.259781 - 0.449953i) q^{68} +(3.10069 + 5.37055i) q^{69} -0.890200i q^{70} +(-5.78974 - 3.34271i) q^{71} +(0.0526681 + 0.0304079i) q^{72} +(9.56745 + 5.52377i) q^{73} +(4.47650 + 7.75352i) q^{74} +(4.21445 - 7.29964i) q^{75} +(-0.374062 + 0.215965i) q^{76} +1.52035 q^{77} +(-1.64474 + 9.06471i) q^{78} +(2.68445 + 4.64961i) q^{79} +(-1.44861 - 0.836355i) q^{80} +(4.53348 + 7.85222i) q^{81} +(-1.51961 + 2.63205i) q^{82} +(-12.9187 - 7.45862i) q^{83} +(-0.374768 - 0.216372i) q^{84} +1.26427i q^{85} +(-3.74228 + 2.16061i) q^{86} +(1.95312 + 3.38290i) q^{87} +(1.32191 - 2.28962i) q^{88} +5.51995i q^{89} +(0.00643712 + 0.0111494i) q^{90} +(-1.00099 + 5.51677i) q^{91} -0.570963 q^{92} +(-5.29760 - 8.10139i) q^{93} +16.9208 q^{94} +1.05104 q^{95} +(-1.36010 + 0.785257i) q^{96} -5.77397i q^{97} +(5.83175 + 3.36696i) q^{98} +(-0.0190418 + 0.0109938i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.46972i 1.03925i −0.854395 0.519623i \(-0.826072\pi\)
0.854395 0.519623i \(-0.173928\pi\)
\(3\) 0.869265 + 1.50561i 0.501871 + 0.869265i 0.999998 + 0.00216137i \(0.000687986\pi\)
−0.498127 + 0.867104i \(0.665979\pi\)
\(4\) −0.160067 −0.0800336
\(5\) 0.337316 + 0.194750i 0.150852 + 0.0870947i 0.573526 0.819187i \(-0.305575\pi\)
−0.422674 + 0.906282i \(0.638908\pi\)
\(6\) 2.21282 1.27757i 0.903381 0.521567i
\(7\) 1.34672 0.777530i 0.509013 0.293879i −0.223415 0.974723i \(-0.571720\pi\)
0.732428 + 0.680845i \(0.238387\pi\)
\(8\) 2.70418i 0.956072i
\(9\) −0.0112448 + 0.0194765i −0.00374826 + 0.00649218i
\(10\) 0.286227 0.495759i 0.0905129 0.156773i
\(11\) 0.846696 + 0.488840i 0.255288 + 0.147391i 0.622183 0.782872i \(-0.286246\pi\)
−0.366895 + 0.930262i \(0.619579\pi\)
\(12\) −0.139141 0.240999i −0.0401665 0.0695704i
\(13\) −2.33127 + 2.75049i −0.646578 + 0.762848i
\(14\) −1.14275 1.97930i −0.305413 0.528990i
\(15\) 0.677157i 0.174841i
\(16\) −4.29451 −1.07363
\(17\) 1.62295 + 2.81103i 0.393623 + 0.681775i 0.992924 0.118749i \(-0.0378883\pi\)
−0.599302 + 0.800523i \(0.704555\pi\)
\(18\) 0.0286250 + 0.0165267i 0.00674698 + 0.00389537i
\(19\) 2.33691 1.34921i 0.536123 0.309531i −0.207383 0.978260i \(-0.566495\pi\)
0.743506 + 0.668729i \(0.233161\pi\)
\(20\) −0.0539932 0.0311730i −0.0120733 0.00697050i
\(21\) 2.34132 + 1.35176i 0.510917 + 0.294978i
\(22\) 0.718456 1.24440i 0.153175 0.265308i
\(23\) 3.56702 0.743775 0.371888 0.928278i \(-0.378711\pi\)
0.371888 + 0.928278i \(0.378711\pi\)
\(24\) 4.07145 2.35065i 0.831080 0.479824i
\(25\) −2.42415 4.19874i −0.484829 0.839749i
\(26\) 4.04244 + 3.42631i 0.792787 + 0.671954i
\(27\) 5.17649 0.996217
\(28\) −0.215566 + 0.124457i −0.0407381 + 0.0235202i
\(29\) 2.24686 0.417232 0.208616 0.977998i \(-0.433104\pi\)
0.208616 + 0.977998i \(0.433104\pi\)
\(30\) 0.995228 0.181703
\(31\) −5.55918 + 0.308974i −0.998459 + 0.0554933i
\(32\) 0.903357i 0.159692i
\(33\) 1.69973i 0.295884i
\(34\) 4.13142 2.38527i 0.708532 0.409071i
\(35\) 0.605695 0.102381
\(36\) 0.00179992 0.00311755i 0.000299987 0.000519592i
\(37\) −5.27552 + 3.04582i −0.867290 + 0.500730i −0.866447 0.499269i \(-0.833602\pi\)
−0.000843382 1.00000i \(0.500268\pi\)
\(38\) −1.98296 3.43459i −0.321679 0.557164i
\(39\) −6.16766 1.11908i −0.987616 0.179197i
\(40\) 0.526638 0.912164i 0.0832688 0.144226i
\(41\) −1.79085 1.03395i −0.279684 0.161476i 0.353596 0.935398i \(-0.384959\pi\)
−0.633280 + 0.773922i \(0.718292\pi\)
\(42\) 1.98670 3.44107i 0.306555 0.530969i
\(43\) −1.47008 2.54626i −0.224186 0.388301i 0.731889 0.681424i \(-0.238639\pi\)
−0.956075 + 0.293123i \(0.905306\pi\)
\(44\) −0.135528 0.0782472i −0.0204316 0.0117962i
\(45\) −0.00758610 + 0.00437984i −0.00113087 + 0.000652908i
\(46\) 5.24251i 0.772966i
\(47\) 11.5129i 1.67933i 0.543101 + 0.839667i \(0.317250\pi\)
−0.543101 + 0.839667i \(0.682750\pi\)
\(48\) −3.73307 6.46587i −0.538822 0.933268i
\(49\) −2.29089 + 3.96794i −0.327270 + 0.566849i
\(50\) −6.17096 + 3.56281i −0.872706 + 0.503857i
\(51\) −2.82155 + 4.88706i −0.395095 + 0.684325i
\(52\) 0.373160 0.440263i 0.0517479 0.0610534i
\(53\) 4.84072 8.38438i 0.664925 1.15168i −0.314381 0.949297i \(-0.601797\pi\)
0.979306 0.202386i \(-0.0648697\pi\)
\(54\) 7.60798i 1.03531i
\(55\) 0.190403 + 0.329787i 0.0256739 + 0.0444685i
\(56\) −2.10258 3.64178i −0.280969 0.486653i
\(57\) 4.06278 + 2.34565i 0.538129 + 0.310689i
\(58\) 3.30225i 0.433607i
\(59\) −1.85412 + 1.07048i −0.241386 + 0.139364i −0.615813 0.787892i \(-0.711173\pi\)
0.374428 + 0.927256i \(0.377839\pi\)
\(60\) 0.108390i 0.0139932i
\(61\) −10.4105 −1.33292 −0.666461 0.745540i \(-0.732192\pi\)
−0.666461 + 0.745540i \(0.732192\pi\)
\(62\) 0.454104 + 8.17043i 0.0576712 + 1.03765i
\(63\) 0.0349727i 0.00440614i
\(64\) −7.26135 −0.907668
\(65\) −1.32203 + 0.473770i −0.163978 + 0.0587640i
\(66\) 2.49812 0.307497
\(67\) −10.4078 6.00894i −1.27151 0.734108i −0.296240 0.955113i \(-0.595733\pi\)
−0.975273 + 0.221005i \(0.929066\pi\)
\(68\) −0.259781 0.449953i −0.0315030 0.0545649i
\(69\) 3.10069 + 5.37055i 0.373279 + 0.646538i
\(70\) 0.890200i 0.106399i
\(71\) −5.78974 3.34271i −0.687116 0.396706i 0.115415 0.993317i \(-0.463180\pi\)
−0.802531 + 0.596611i \(0.796514\pi\)
\(72\) 0.0526681 + 0.0304079i 0.00620699 + 0.00358361i
\(73\) 9.56745 + 5.52377i 1.11979 + 0.646508i 0.941346 0.337443i \(-0.109562\pi\)
0.178439 + 0.983951i \(0.442895\pi\)
\(74\) 4.47650 + 7.75352i 0.520382 + 0.901328i
\(75\) 4.21445 7.29964i 0.486643 0.842890i
\(76\) −0.374062 + 0.215965i −0.0429078 + 0.0247729i
\(77\) 1.52035 0.173260
\(78\) −1.64474 + 9.06471i −0.186230 + 1.02638i
\(79\) 2.68445 + 4.64961i 0.302024 + 0.523122i 0.976594 0.215089i \(-0.0690042\pi\)
−0.674570 + 0.738211i \(0.735671\pi\)
\(80\) −1.44861 0.836355i −0.161959 0.0935073i
\(81\) 4.53348 + 7.85222i 0.503720 + 0.872469i
\(82\) −1.51961 + 2.63205i −0.167813 + 0.290661i
\(83\) −12.9187 7.45862i −1.41801 0.818690i −0.421889 0.906648i \(-0.638633\pi\)
−0.996124 + 0.0879573i \(0.971966\pi\)
\(84\) −0.374768 0.216372i −0.0408905 0.0236082i
\(85\) 1.26427i 0.137130i
\(86\) −3.74228 + 2.16061i −0.403540 + 0.232984i
\(87\) 1.95312 + 3.38290i 0.209396 + 0.362685i
\(88\) 1.32191 2.28962i 0.140916 0.244074i
\(89\) 5.51995i 0.585113i 0.956248 + 0.292557i \(0.0945060\pi\)
−0.956248 + 0.292557i \(0.905494\pi\)
\(90\) 0.00643712 + 0.0111494i 0.000678532 + 0.00117525i
\(91\) −1.00099 + 5.51677i −0.104932 + 0.578315i
\(92\) −0.570963 −0.0595270
\(93\) −5.29760 8.10139i −0.549336 0.840075i
\(94\) 16.9208 1.74524
\(95\) 1.05104 0.107834
\(96\) −1.36010 + 0.785257i −0.138815 + 0.0801450i
\(97\) 5.77397i 0.586258i −0.956073 0.293129i \(-0.905303\pi\)
0.956073 0.293129i \(-0.0946965\pi\)
\(98\) 5.83175 + 3.36696i 0.589096 + 0.340115i
\(99\) −0.0190418 + 0.0109938i −0.00191378 + 0.00110492i
\(100\) 0.388026 + 0.672081i 0.0388026 + 0.0672081i
\(101\) 3.83015 0.381114 0.190557 0.981676i \(-0.438971\pi\)
0.190557 + 0.981676i \(0.438971\pi\)
\(102\) 7.18259 + 4.14687i 0.711183 + 0.410602i
\(103\) −4.06720 + 7.04459i −0.400753 + 0.694124i −0.993817 0.111031i \(-0.964585\pi\)
0.593064 + 0.805155i \(0.297918\pi\)
\(104\) 7.43781 + 6.30417i 0.729338 + 0.618175i
\(105\) 0.526510 + 0.911942i 0.0513821 + 0.0889964i
\(106\) −12.3227 7.11449i −1.19688 0.691021i
\(107\) 1.28973 + 2.23387i 0.124682 + 0.215956i 0.921609 0.388120i \(-0.126875\pi\)
−0.796926 + 0.604077i \(0.793542\pi\)
\(108\) −0.828586 −0.0797308
\(109\) 11.2650i 1.07899i 0.841988 + 0.539497i \(0.181385\pi\)
−0.841988 + 0.539497i \(0.818615\pi\)
\(110\) 0.484694 0.279838i 0.0462138 0.0266815i
\(111\) −9.17165 5.29526i −0.870535 0.502604i
\(112\) −5.78351 + 3.33911i −0.546491 + 0.315517i
\(113\) 2.11620 3.66536i 0.199075 0.344808i −0.749154 0.662396i \(-0.769540\pi\)
0.948229 + 0.317588i \(0.102873\pi\)
\(114\) 3.44744 5.97114i 0.322882 0.559249i
\(115\) 1.20321 + 0.694676i 0.112200 + 0.0647789i
\(116\) −0.359649 −0.0333925
\(117\) −0.0273554 0.0763337i −0.00252900 0.00705706i
\(118\) 1.57330 + 2.72503i 0.144834 + 0.250859i
\(119\) 4.37132 + 2.52378i 0.400718 + 0.231355i
\(120\) 1.83115 0.167161
\(121\) −5.02207 8.69848i −0.456552 0.790771i
\(122\) 15.3004i 1.38523i
\(123\) 3.59511i 0.324160i
\(124\) 0.889843 0.0494565i 0.0799102 0.00444133i
\(125\) 3.83590i 0.343094i
\(126\) 0.0513999 0.00457907
\(127\) 0.626367 + 1.08490i 0.0555811 + 0.0962693i 0.892477 0.451092i \(-0.148966\pi\)
−0.836896 + 0.547362i \(0.815632\pi\)
\(128\) 12.4788i 1.10298i
\(129\) 2.55579 4.42675i 0.225024 0.389754i
\(130\) 0.696308 + 1.94301i 0.0610702 + 0.170413i
\(131\) 6.92016 + 11.9861i 0.604617 + 1.04723i 0.992112 + 0.125356i \(0.0400072\pi\)
−0.387495 + 0.921872i \(0.626659\pi\)
\(132\) 0.272070i 0.0236807i
\(133\) 2.09811 3.63403i 0.181929 0.315110i
\(134\) −8.83143 + 15.2965i −0.762920 + 1.32142i
\(135\) 1.74612 + 1.00812i 0.150282 + 0.0867652i
\(136\) 7.60153 4.38874i 0.651826 0.376332i
\(137\) 9.42496 + 5.44151i 0.805229 + 0.464899i 0.845296 0.534298i \(-0.179424\pi\)
−0.0400673 + 0.999197i \(0.512757\pi\)
\(138\) 7.89319 4.55713i 0.671913 0.387929i
\(139\) −21.4981 −1.82344 −0.911722 0.410809i \(-0.865246\pi\)
−0.911722 + 0.410809i \(0.865246\pi\)
\(140\) −0.0969519 −0.00819393
\(141\) −17.3340 + 10.0078i −1.45979 + 0.842809i
\(142\) −4.91283 + 8.50928i −0.412276 + 0.714083i
\(143\) −3.31842 + 1.18921i −0.277501 + 0.0994466i
\(144\) 0.0482909 0.0836423i 0.00402424 0.00697019i
\(145\) 0.757903 + 0.437576i 0.0629404 + 0.0363387i
\(146\) 8.11838 14.0614i 0.671882 1.16373i
\(147\) −7.96558 −0.656990
\(148\) 0.844437 0.487536i 0.0694123 0.0400752i
\(149\) 1.73954 1.00432i 0.142508 0.0822773i −0.427051 0.904228i \(-0.640447\pi\)
0.569559 + 0.821950i \(0.307114\pi\)
\(150\) −10.7284 6.19405i −0.875971 0.505742i
\(151\) 2.19032i 0.178245i 0.996021 + 0.0891227i \(0.0284063\pi\)
−0.996021 + 0.0891227i \(0.971594\pi\)
\(152\) −3.64852 6.31942i −0.295934 0.512572i
\(153\) −0.0729989 −0.00590161
\(154\) 2.23449i 0.180060i
\(155\) −1.93538 0.978427i −0.155453 0.0785892i
\(156\) 0.987239 + 0.179129i 0.0790424 + 0.0143418i
\(157\) 3.83161 0.305795 0.152898 0.988242i \(-0.451139\pi\)
0.152898 + 0.988242i \(0.451139\pi\)
\(158\) 6.83361 3.94538i 0.543652 0.313878i
\(159\) 16.8315 1.33482
\(160\) −0.175928 + 0.304717i −0.0139084 + 0.0240900i
\(161\) 4.80379 2.77347i 0.378591 0.218580i
\(162\) 11.5405 6.66293i 0.906710 0.523489i
\(163\) 8.36953i 0.655552i −0.944755 0.327776i \(-0.893701\pi\)
0.944755 0.327776i \(-0.106299\pi\)
\(164\) 0.286657 + 0.165501i 0.0223841 + 0.0129235i
\(165\) −0.331021 + 0.573346i −0.0257700 + 0.0446349i
\(166\) −10.9621 + 18.9869i −0.850821 + 1.47367i
\(167\) 0.343241 0.198171i 0.0265608 0.0153349i −0.486661 0.873591i \(-0.661785\pi\)
0.513222 + 0.858256i \(0.328452\pi\)
\(168\) 3.65540 6.33134i 0.282021 0.488474i
\(169\) −2.13036 12.8243i −0.163874 0.986481i
\(170\) 1.85813 0.142512
\(171\) 0.0606865i 0.00464081i
\(172\) 0.235312 + 0.407572i 0.0179424 + 0.0310771i
\(173\) 8.40943 14.5656i 0.639357 1.10740i −0.346217 0.938155i \(-0.612534\pi\)
0.985574 0.169245i \(-0.0541329\pi\)
\(174\) 4.97191 2.87053i 0.376919 0.217615i
\(175\) −6.52930 3.76969i −0.493569 0.284962i
\(176\) −3.63615 2.09933i −0.274085 0.158243i
\(177\) −3.22344 1.86106i −0.242289 0.139886i
\(178\) 8.11276 0.608077
\(179\) −8.60517 14.9046i −0.643181 1.11402i −0.984718 0.174154i \(-0.944281\pi\)
0.341538 0.939868i \(-0.389052\pi\)
\(180\) 0.00121429 0.000701068i 9.05075e−5 5.22545e-5i
\(181\) −6.42149 + 11.1223i −0.477305 + 0.826717i −0.999662 0.0260101i \(-0.991720\pi\)
0.522356 + 0.852727i \(0.325053\pi\)
\(182\) 8.10810 + 1.47116i 0.601012 + 0.109050i
\(183\) −9.04945 15.6741i −0.668954 1.15866i
\(184\) 9.64587i 0.711103i
\(185\) −2.37269 −0.174444
\(186\) −11.9068 + 7.78597i −0.873046 + 0.570895i
\(187\) 3.17345i 0.232066i
\(188\) 1.84284i 0.134403i
\(189\) 6.97130 4.02488i 0.507087 0.292767i
\(190\) 1.54472i 0.112066i
\(191\) −3.27980 + 5.68079i −0.237318 + 0.411047i −0.959944 0.280192i \(-0.909602\pi\)
0.722626 + 0.691240i \(0.242935\pi\)
\(192\) −6.31204 10.9328i −0.455532 0.789005i
\(193\) 16.0012 9.23830i 1.15179 0.664987i 0.202468 0.979289i \(-0.435104\pi\)
0.949323 + 0.314302i \(0.101770\pi\)
\(194\) −8.48610 −0.609266
\(195\) −1.86251 1.57863i −0.133377 0.113048i
\(196\) 0.366697 0.635137i 0.0261926 0.0453669i
\(197\) 16.0772 + 9.28215i 1.14545 + 0.661326i 0.947774 0.318942i \(-0.103327\pi\)
0.197676 + 0.980267i \(0.436661\pi\)
\(198\) 0.0161578 + 0.0279861i 0.00114828 + 0.00198889i
\(199\) 13.1137 22.7136i 0.929607 1.61013i 0.145629 0.989339i \(-0.453479\pi\)
0.783979 0.620788i \(-0.213187\pi\)
\(200\) −11.3542 + 6.55532i −0.802860 + 0.463531i
\(201\) 20.8934i 1.47371i
\(202\) 5.62924i 0.396072i
\(203\) 3.02590 1.74700i 0.212376 0.122616i
\(204\) 0.451637 0.782258i 0.0316209 0.0547690i
\(205\) −0.402723 0.697536i −0.0281274 0.0487180i
\(206\) 10.3536 + 5.97763i 0.721366 + 0.416481i
\(207\) −0.0401104 + 0.0694733i −0.00278787 + 0.00482873i
\(208\) 10.0117 11.8120i 0.694184 0.819015i
\(209\) 2.63820 0.182488
\(210\) 1.34030 0.773820i 0.0924892 0.0533987i
\(211\) −4.80264 8.31842i −0.330628 0.572664i 0.652008 0.758212i \(-0.273927\pi\)
−0.982635 + 0.185549i \(0.940594\pi\)
\(212\) −0.774841 + 1.34206i −0.0532163 + 0.0921733i
\(213\) 11.6228i 0.796381i
\(214\) 3.28316 1.89553i 0.224432 0.129576i
\(215\) 1.14519i 0.0781015i
\(216\) 13.9982i 0.952455i
\(217\) −7.24644 + 4.73854i −0.491920 + 0.321673i
\(218\) 16.5564 1.12134
\(219\) 19.2065i 1.29785i
\(220\) −0.0304772 0.0527881i −0.00205477 0.00355897i
\(221\) −11.5152 2.08937i −0.774598 0.140546i
\(222\) −7.78253 + 13.4797i −0.522329 + 0.904700i
\(223\) −4.28203 + 2.47223i −0.286746 + 0.165553i −0.636473 0.771299i \(-0.719608\pi\)
0.349727 + 0.936851i \(0.386274\pi\)
\(224\) 0.702387 + 1.21657i 0.0469302 + 0.0812855i
\(225\) 0.109036 0.00726907
\(226\) −5.38705 3.11021i −0.358341 0.206888i
\(227\) −8.88540 5.12999i −0.589745 0.340489i 0.175252 0.984524i \(-0.443926\pi\)
−0.764997 + 0.644034i \(0.777259\pi\)
\(228\) −0.650318 0.375461i −0.0430684 0.0248655i
\(229\) 6.79828 3.92499i 0.449243 0.259371i −0.258267 0.966073i \(-0.583152\pi\)
0.707511 + 0.706703i \(0.249818\pi\)
\(230\) 1.02098 1.76838i 0.0673212 0.116604i
\(231\) 1.32159 + 2.28906i 0.0869542 + 0.150609i
\(232\) 6.07592i 0.398904i
\(233\) −8.17268 −0.535410 −0.267705 0.963501i \(-0.586265\pi\)
−0.267705 + 0.963501i \(0.586265\pi\)
\(234\) −0.112189 + 0.0402046i −0.00733402 + 0.00262826i
\(235\) −2.24214 + 3.88350i −0.146261 + 0.253332i
\(236\) 0.296783 0.171348i 0.0193190 0.0111538i
\(237\) −4.66700 + 8.08349i −0.303154 + 0.525079i
\(238\) 3.70925 6.42460i 0.240435 0.416445i
\(239\) 21.1448 + 12.2080i 1.36775 + 0.789669i 0.990640 0.136501i \(-0.0435858\pi\)
0.377106 + 0.926170i \(0.376919\pi\)
\(240\) 2.90806i 0.187714i
\(241\) 17.4267 10.0613i 1.12255 0.648105i 0.180500 0.983575i \(-0.442229\pi\)
0.942051 + 0.335470i \(0.108895\pi\)
\(242\) −12.7843 + 7.38102i −0.821806 + 0.474470i
\(243\) −0.116857 + 0.202402i −0.00749637 + 0.0129841i
\(244\) 1.66637 0.106678
\(245\) −1.54551 + 0.892301i −0.0987391 + 0.0570070i
\(246\) −5.28379 −0.336882
\(247\) −1.73696 + 9.57301i −0.110520 + 0.609116i
\(248\) 0.835520 + 15.0330i 0.0530556 + 0.954599i
\(249\) 25.9341i 1.64351i
\(250\) −5.63769 −0.356559
\(251\) 7.76312 + 13.4461i 0.490004 + 0.848711i 0.999934 0.0115047i \(-0.00366213\pi\)
−0.509930 + 0.860216i \(0.670329\pi\)
\(252\) 0.00559797i 0.000352639i
\(253\) 3.02018 + 1.74370i 0.189877 + 0.109626i
\(254\) 1.59450 0.920582i 0.100048 0.0577625i
\(255\) −1.90351 + 1.09899i −0.119202 + 0.0688214i
\(256\) 3.81766 0.238604
\(257\) 3.86016 6.68600i 0.240790 0.417061i −0.720149 0.693819i \(-0.755927\pi\)
0.960940 + 0.276758i \(0.0892600\pi\)
\(258\) −6.50607 3.75628i −0.405050 0.233856i
\(259\) −4.73644 + 8.20375i −0.294308 + 0.509756i
\(260\) 0.211614 0.0758350i 0.0131237 0.00470309i
\(261\) −0.0252655 + 0.0437611i −0.00156389 + 0.00270875i
\(262\) 17.6161 10.1707i 1.08833 0.628346i
\(263\) −1.28168 −0.0790318 −0.0395159 0.999219i \(-0.512582\pi\)
−0.0395159 + 0.999219i \(0.512582\pi\)
\(264\) 4.59637 0.282887
\(265\) 3.26571 1.88546i 0.200611 0.115823i
\(266\) −5.34100 3.08363i −0.327478 0.189069i
\(267\) −8.31090 + 4.79830i −0.508619 + 0.293651i
\(268\) 1.66594 + 0.961833i 0.101764 + 0.0587533i
\(269\) −0.0307505 + 0.0532615i −0.00187489 + 0.00324741i −0.866961 0.498375i \(-0.833930\pi\)
0.865086 + 0.501623i \(0.167263\pi\)
\(270\) 1.48165 2.56630i 0.0901704 0.156180i
\(271\) 32.0614i 1.94759i 0.227423 + 0.973796i \(0.426970\pi\)
−0.227423 + 0.973796i \(0.573030\pi\)
\(272\) −6.96977 12.0720i −0.422605 0.731973i
\(273\) −9.17624 + 3.28845i −0.555372 + 0.199026i
\(274\) 7.99747 13.8520i 0.483145 0.836832i
\(275\) 4.74008i 0.285837i
\(276\) −0.496318 0.859649i −0.0298749 0.0517448i
\(277\) 4.73652 0.284590 0.142295 0.989824i \(-0.454552\pi\)
0.142295 + 0.989824i \(0.454552\pi\)
\(278\) 31.5961i 1.89501i
\(279\) 0.0564941 0.111748i 0.00338221 0.00669018i
\(280\) 1.63791i 0.0978837i
\(281\) 15.4404i 0.921099i 0.887634 + 0.460550i \(0.152348\pi\)
−0.887634 + 0.460550i \(0.847652\pi\)
\(282\) 14.7086 + 25.4761i 0.875886 + 1.51708i
\(283\) 10.8876 0.647201 0.323600 0.946194i \(-0.395107\pi\)
0.323600 + 0.946194i \(0.395107\pi\)
\(284\) 0.926747 + 0.535058i 0.0549923 + 0.0317498i
\(285\) 0.913629 + 1.58245i 0.0541187 + 0.0937363i
\(286\) 1.74780 + 4.87714i 0.103350 + 0.288392i
\(287\) −3.21571 −0.189817
\(288\) −0.0175943 0.0101581i −0.00103675 0.000598569i
\(289\) 3.23208 5.59812i 0.190122 0.329301i
\(290\) 0.643112 1.11390i 0.0377648 0.0654106i
\(291\) 8.69336 5.01911i 0.509614 0.294226i
\(292\) −1.53143 0.884174i −0.0896204 0.0517424i
\(293\) −3.05940 + 1.76635i −0.178732 + 0.103191i −0.586697 0.809807i \(-0.699572\pi\)
0.407965 + 0.912998i \(0.366239\pi\)
\(294\) 11.7071i 0.682774i
\(295\) −0.833899 −0.0485515
\(296\) 8.23645 + 14.2660i 0.478734 + 0.829192i
\(297\) 4.38292 + 2.53048i 0.254323 + 0.146833i
\(298\) −1.47607 2.55663i −0.0855064 0.148101i
\(299\) −8.31569 + 9.81105i −0.480909 + 0.567388i
\(300\) −0.674595 + 1.16843i −0.0389478 + 0.0674595i
\(301\) −3.95959 2.28607i −0.228227 0.131767i
\(302\) 3.21914 0.185241
\(303\) 3.32942 + 5.76672i 0.191270 + 0.331290i
\(304\) −10.0359 + 5.79422i −0.575597 + 0.332321i
\(305\) −3.51161 2.02743i −0.201074 0.116090i
\(306\) 0.107288i 0.00613323i
\(307\) 6.66400 3.84746i 0.380335 0.219586i −0.297629 0.954682i \(-0.596196\pi\)
0.677964 + 0.735095i \(0.262863\pi\)
\(308\) −0.243358 −0.0138666
\(309\) −14.1419 −0.804504
\(310\) −1.43801 + 2.84445i −0.0816735 + 0.161554i
\(311\) 26.1336 1.48190 0.740951 0.671559i \(-0.234375\pi\)
0.740951 + 0.671559i \(0.234375\pi\)
\(312\) −3.02620 + 16.6785i −0.171325 + 0.944232i
\(313\) 2.96918 + 5.14276i 0.167828 + 0.290686i 0.937656 0.347565i \(-0.112991\pi\)
−0.769828 + 0.638251i \(0.779658\pi\)
\(314\) 5.63137i 0.317797i
\(315\) −0.00681091 + 0.0117968i −0.000383751 + 0.000664677i
\(316\) −0.429693 0.744249i −0.0241721 0.0418673i
\(317\) 12.9082 7.45253i 0.724994 0.418576i −0.0915938 0.995796i \(-0.529196\pi\)
0.816588 + 0.577221i \(0.195863\pi\)
\(318\) 24.7375i 1.38721i
\(319\) 1.90241 + 1.09836i 0.106514 + 0.0614961i
\(320\) −2.44937 1.41414i −0.136924 0.0790531i
\(321\) −2.24223 + 3.88365i −0.125149 + 0.216764i
\(322\) −4.07621 7.06021i −0.227158 0.393450i
\(323\) 7.58536 + 4.37941i 0.422061 + 0.243677i
\(324\) −0.725661 1.25688i −0.0403145 0.0698268i
\(325\) 17.1999 + 3.12082i 0.954080 + 0.173112i
\(326\) −12.3008 −0.681280
\(327\) −16.9608 + 9.79230i −0.937932 + 0.541515i
\(328\) −2.79599 + 4.84279i −0.154382 + 0.267398i
\(329\) 8.95166 + 15.5047i 0.493521 + 0.854803i
\(330\) 0.842655 + 0.486507i 0.0463867 + 0.0267813i
\(331\) −21.2208 12.2518i −1.16640 0.673421i −0.213570 0.976928i \(-0.568509\pi\)
−0.952829 + 0.303507i \(0.901843\pi\)
\(332\) 2.06786 + 1.19388i 0.113489 + 0.0655227i
\(333\) 0.136999i 0.00750747i
\(334\) −0.291255 0.504468i −0.0159367 0.0276032i
\(335\) −2.34048 4.05382i −0.127874 0.221484i
\(336\) −10.0548 5.80515i −0.548535 0.316697i
\(337\) 22.4952 1.22539 0.612696 0.790319i \(-0.290085\pi\)
0.612696 + 0.790319i \(0.290085\pi\)
\(338\) −18.8480 + 3.13103i −1.02520 + 0.170305i
\(339\) 7.35815 0.399640
\(340\) 0.202369i 0.0109750i
\(341\) −4.85798 2.45595i −0.263074 0.132997i
\(342\) 0.0891920 0.00482295
\(343\) 18.0104i 0.972469i
\(344\) −6.88554 + 3.97537i −0.371244 + 0.214338i
\(345\) 2.41543i 0.130042i
\(346\) −21.4073 12.3595i −1.15086 0.664450i
\(347\) −6.02546 10.4364i −0.323464 0.560256i 0.657736 0.753248i \(-0.271514\pi\)
−0.981200 + 0.192992i \(0.938181\pi\)
\(348\) −0.312630 0.541491i −0.0167587 0.0290270i
\(349\) 7.04409i 0.377062i 0.982067 + 0.188531i \(0.0603725\pi\)
−0.982067 + 0.188531i \(0.939627\pi\)
\(350\) −5.54038 + 9.59622i −0.296146 + 0.512940i
\(351\) −12.0678 + 14.2379i −0.644132 + 0.759962i
\(352\) −0.441597 + 0.764868i −0.0235372 + 0.0407676i
\(353\) 21.3757 12.3412i 1.13771 0.656858i 0.191849 0.981425i \(-0.438552\pi\)
0.945863 + 0.324567i \(0.105218\pi\)
\(354\) −2.73522 + 4.73755i −0.145376 + 0.251798i
\(355\) −1.30198 2.25510i −0.0691020 0.119688i
\(356\) 0.883562i 0.0468287i
\(357\) 8.77535i 0.464441i
\(358\) −21.9055 + 12.6472i −1.15774 + 0.668423i
\(359\) −3.18993 1.84171i −0.168358 0.0972016i 0.413453 0.910525i \(-0.364322\pi\)
−0.581811 + 0.813324i \(0.697656\pi\)
\(360\) 0.0118439 + 0.0205142i 0.000624227 + 0.00108119i
\(361\) −5.85925 + 10.1485i −0.308381 + 0.534132i
\(362\) 16.3467 + 9.43777i 0.859163 + 0.496038i
\(363\) 8.73103 15.1226i 0.458260 0.793730i
\(364\) 0.160225 0.883054i 0.00839806 0.0462846i
\(365\) 2.15150 + 3.72651i 0.112615 + 0.195055i
\(366\) −23.0365 + 13.3001i −1.20414 + 0.695208i
\(367\) −3.96192 + 6.86224i −0.206810 + 0.358206i −0.950708 0.310088i \(-0.899642\pi\)
0.743898 + 0.668294i \(0.232975\pi\)
\(368\) −15.3186 −0.798538
\(369\) 0.0402755 0.0232531i 0.00209666 0.00121051i
\(370\) 3.48718i 0.181290i
\(371\) 15.0552i 0.781629i
\(372\) 0.847972 + 1.29677i 0.0439653 + 0.0672342i
\(373\) 19.8356 1.02705 0.513525 0.858075i \(-0.328340\pi\)
0.513525 + 0.858075i \(0.328340\pi\)
\(374\) 4.66407 0.241173
\(375\) 5.77538 3.33442i 0.298239 0.172189i
\(376\) 31.1331 1.60556
\(377\) −5.23804 + 6.17997i −0.269773 + 0.318284i
\(378\) −5.91543 10.2458i −0.304257 0.526989i
\(379\) 18.5981 10.7376i 0.955323 0.551556i 0.0605924 0.998163i \(-0.480701\pi\)
0.894730 + 0.446607i \(0.147368\pi\)
\(380\) −0.168236 −0.00863034
\(381\) −1.08896 + 1.88613i −0.0557891 + 0.0966295i
\(382\) 8.34915 + 4.82038i 0.427180 + 0.246632i
\(383\) −12.9955 7.50293i −0.664037 0.383382i 0.129777 0.991543i \(-0.458574\pi\)
−0.793813 + 0.608162i \(0.791907\pi\)
\(384\) −18.7883 + 10.8474i −0.958786 + 0.553555i
\(385\) 0.512839 + 0.296088i 0.0261367 + 0.0150900i
\(386\) −13.5777 23.5172i −0.691086 1.19700i
\(387\) 0.0661231 0.00336123
\(388\) 0.924223i 0.0469203i
\(389\) −10.9004 18.8801i −0.552672 0.957257i −0.998081 0.0619291i \(-0.980275\pi\)
0.445408 0.895328i \(-0.353059\pi\)
\(390\) −2.32015 + 2.73736i −0.117485 + 0.138612i
\(391\) 5.78909 + 10.0270i 0.292767 + 0.507087i
\(392\) 10.7300 + 6.19499i 0.541949 + 0.312894i
\(393\) −12.0309 + 20.8381i −0.606879 + 1.05115i
\(394\) 13.6421 23.6289i 0.687281 1.19041i
\(395\) 2.09118i 0.105219i
\(396\) 0.00304797 0.00175975i 0.000153166 8.84306e-5i
\(397\) 14.9594 8.63680i 0.750789 0.433468i −0.0751898 0.997169i \(-0.523956\pi\)
0.825979 + 0.563701i \(0.190623\pi\)
\(398\) −33.3826 19.2735i −1.67332 0.966091i
\(399\) 7.29525 0.365220
\(400\) 10.4105 + 18.0316i 0.520526 + 0.901578i
\(401\) 4.41871i 0.220660i −0.993895 0.110330i \(-0.964809\pi\)
0.993895 0.110330i \(-0.0351908\pi\)
\(402\) −30.7074 −1.53155
\(403\) 12.1101 16.0108i 0.603249 0.797553i
\(404\) −0.613081 −0.0305019
\(405\) 3.53158i 0.175485i
\(406\) −2.56760 4.44721i −0.127428 0.220712i
\(407\) −5.95568 −0.295212
\(408\) 13.2155 + 7.62997i 0.654264 + 0.377740i
\(409\) 5.80123 3.34934i 0.286853 0.165614i −0.349669 0.936873i \(-0.613706\pi\)
0.636522 + 0.771259i \(0.280373\pi\)
\(410\) −1.02518 + 0.591888i −0.0506300 + 0.0292313i
\(411\) 18.9205i 0.933277i
\(412\) 0.651025 1.12761i 0.0320737 0.0555532i
\(413\) −1.66466 + 2.88327i −0.0819123 + 0.141876i
\(414\) 0.102106 + 0.0589509i 0.00501824 + 0.00289728i
\(415\) −2.90513 5.03183i −0.142607 0.247003i
\(416\) −2.48467 2.10597i −0.121821 0.103254i
\(417\) −18.6875 32.3678i −0.915133 1.58506i
\(418\) 3.87740i 0.189650i
\(419\) −34.5125 −1.68604 −0.843022 0.537879i \(-0.819226\pi\)
−0.843022 + 0.537879i \(0.819226\pi\)
\(420\) −0.0842769 0.145972i −0.00411229 0.00712270i
\(421\) −20.6778 11.9383i −1.00777 0.581838i −0.0972342 0.995262i \(-0.531000\pi\)
−0.910539 + 0.413423i \(0.864333\pi\)
\(422\) −12.2257 + 7.05852i −0.595139 + 0.343604i
\(423\) −0.224232 0.129461i −0.0109025 0.00629459i
\(424\) −22.6729 13.0902i −1.10109 0.635716i
\(425\) 7.86852 13.6287i 0.381680 0.661088i
\(426\) −17.0822 −0.827636
\(427\) −14.0200 + 8.09444i −0.678475 + 0.391717i
\(428\) −0.206443 0.357569i −0.00997878 0.0172838i
\(429\) −4.67508 3.96252i −0.225715 0.191312i
\(430\) −1.68311 −0.0811667
\(431\) −16.3390 + 9.43330i −0.787020 + 0.454386i −0.838912 0.544266i \(-0.816808\pi\)
0.0518924 + 0.998653i \(0.483475\pi\)
\(432\) −22.2305 −1.06957
\(433\) −3.11799 −0.149841 −0.0749206 0.997190i \(-0.523870\pi\)
−0.0749206 + 0.997190i \(0.523870\pi\)
\(434\) 6.96431 + 10.6502i 0.334297 + 0.511227i
\(435\) 1.52148i 0.0729493i
\(436\) 1.80316i 0.0863557i
\(437\) 8.33580 4.81267i 0.398755 0.230221i
\(438\) 28.2281 1.34879
\(439\) 1.35695 2.35031i 0.0647638 0.112174i −0.831825 0.555037i \(-0.812704\pi\)
0.896589 + 0.442863i \(0.146037\pi\)
\(440\) 0.891804 0.514884i 0.0425151 0.0245461i
\(441\) −0.0515212 0.0892374i −0.00245339 0.00424940i
\(442\) −3.07078 + 16.9241i −0.146062 + 0.804999i
\(443\) 12.4314 21.5317i 0.590631 1.02300i −0.403516 0.914973i \(-0.632212\pi\)
0.994148 0.108031i \(-0.0344546\pi\)
\(444\) 1.46808 + 0.847597i 0.0696720 + 0.0402252i
\(445\) −1.07501 + 1.86197i −0.0509602 + 0.0882657i
\(446\) 3.63348 + 6.29337i 0.172050 + 0.298000i
\(447\) 3.02424 + 1.74605i 0.143042 + 0.0825851i
\(448\) −9.77902 + 5.64592i −0.462015 + 0.266745i
\(449\) 21.9080i 1.03390i −0.856014 0.516952i \(-0.827067\pi\)
0.856014 0.516952i \(-0.172933\pi\)
\(450\) 0.160252i 0.00755435i
\(451\) −1.01087 1.75088i −0.0476001 0.0824458i
\(452\) −0.338734 + 0.586704i −0.0159327 + 0.0275962i
\(453\) −3.29777 + 1.90397i −0.154943 + 0.0894561i
\(454\) −7.53963 + 13.0590i −0.353853 + 0.612891i
\(455\) −1.41204 + 1.66596i −0.0661974 + 0.0781012i
\(456\) 6.34306 10.9865i 0.297041 0.514490i
\(457\) 23.8155i 1.11404i 0.830499 + 0.557020i \(0.188055\pi\)
−0.830499 + 0.557020i \(0.811945\pi\)
\(458\) −5.76862 9.99155i −0.269550 0.466874i
\(459\) 8.40118 + 14.5513i 0.392134 + 0.679195i
\(460\) −0.192595 0.111195i −0.00897979 0.00518449i
\(461\) 33.1166i 1.54240i −0.636596 0.771198i \(-0.719658\pi\)
0.636596 0.771198i \(-0.280342\pi\)
\(462\) 3.36427 1.94236i 0.156520 0.0903668i
\(463\) 12.5034i 0.581084i 0.956862 + 0.290542i \(0.0938356\pi\)
−0.956862 + 0.290542i \(0.906164\pi\)
\(464\) −9.64918 −0.447952
\(465\) −0.209223 3.76444i −0.00970251 0.174572i
\(466\) 12.0115i 0.556423i
\(467\) 39.4658 1.82626 0.913130 0.407669i \(-0.133658\pi\)
0.913130 + 0.407669i \(0.133658\pi\)
\(468\) 0.00437869 + 0.0122185i 0.000202405 + 0.000564801i
\(469\) −18.6885 −0.862956
\(470\) 5.70765 + 3.29531i 0.263274 + 0.152001i
\(471\) 3.33068 + 5.76891i 0.153470 + 0.265817i
\(472\) 2.89476 + 5.01387i 0.133242 + 0.230782i
\(473\) 2.87454i 0.132172i
\(474\) 11.8804 + 6.85917i 0.545686 + 0.315052i
\(475\) −11.3300 6.54138i −0.519856 0.300139i
\(476\) −0.699705 0.403975i −0.0320709 0.0185161i
\(477\) 0.108866 + 0.188561i 0.00498462 + 0.00863362i
\(478\) 17.9423 31.0769i 0.820660 1.42143i
\(479\) −8.90360 + 5.14050i −0.406816 + 0.234875i −0.689421 0.724361i \(-0.742135\pi\)
0.282605 + 0.959236i \(0.408802\pi\)
\(480\) −0.611714 −0.0279208
\(481\) 3.92116 21.6109i 0.178790 0.985372i
\(482\) −14.7872 25.6123i −0.673541 1.16661i
\(483\) 8.35153 + 4.82176i 0.380008 + 0.219398i
\(484\) 0.803868 + 1.39234i 0.0365395 + 0.0632882i
\(485\) 1.12448 1.94765i 0.0510599 0.0884384i
\(486\) 0.297474 + 0.171746i 0.0134937 + 0.00779058i
\(487\) 7.81903 + 4.51432i 0.354314 + 0.204563i 0.666584 0.745430i \(-0.267756\pi\)
−0.312270 + 0.949993i \(0.601089\pi\)
\(488\) 28.1517i 1.27437i
\(489\) 12.6013 7.27534i 0.569849 0.329002i
\(490\) 1.31143 + 2.27146i 0.0592444 + 0.102614i
\(491\) −18.8136 + 32.5860i −0.849044 + 1.47059i 0.0330181 + 0.999455i \(0.489488\pi\)
−0.882062 + 0.471133i \(0.843845\pi\)
\(492\) 0.575458i 0.0259437i
\(493\) 3.64654 + 6.31600i 0.164232 + 0.284458i
\(494\) 14.0696 + 2.55285i 0.633022 + 0.114858i
\(495\) −0.00856416 −0.000384930
\(496\) 23.8740 1.32689i 1.07197 0.0595792i
\(497\) −10.3962 −0.466334
\(498\) −38.1158 −1.70801
\(499\) −12.8977 + 7.44649i −0.577380 + 0.333351i −0.760092 0.649816i \(-0.774846\pi\)
0.182711 + 0.983167i \(0.441513\pi\)
\(500\) 0.614002i 0.0274590i
\(501\) 0.596736 + 0.344526i 0.0266602 + 0.0153923i
\(502\) 19.7620 11.4096i 0.882020 0.509235i
\(503\) 0.123939 + 0.214668i 0.00552615 + 0.00957157i 0.868775 0.495207i \(-0.164908\pi\)
−0.863249 + 0.504778i \(0.831574\pi\)
\(504\) 0.0945724 0.00421259
\(505\) 1.29197 + 0.745921i 0.0574920 + 0.0331930i
\(506\) 2.56275 4.43881i 0.113928 0.197329i
\(507\) 17.4565 14.3552i 0.775271 0.637536i
\(508\) −0.100261 0.173657i −0.00444835 0.00770478i
\(509\) 21.0290 + 12.1411i 0.932096 + 0.538146i 0.887474 0.460858i \(-0.152458\pi\)
0.0446221 + 0.999004i \(0.485792\pi\)
\(510\) 1.61520 + 2.79762i 0.0715224 + 0.123880i
\(511\) 17.1796 0.759980
\(512\) 19.3468i 0.855016i
\(513\) 12.0970 6.98420i 0.534095 0.308360i
\(514\) −9.82653 5.67335i −0.433430 0.250241i
\(515\) −2.74386 + 1.58417i −0.120909 + 0.0698069i
\(516\) −0.409097 + 0.708577i −0.0180095 + 0.0311934i
\(517\) −5.62798 + 9.74795i −0.247518 + 0.428714i
\(518\) 12.0572 + 6.96122i 0.529763 + 0.305859i
\(519\) 29.2401 1.28350
\(520\) 1.28116 + 3.57501i 0.0561826 + 0.156775i
\(521\) 6.73109 + 11.6586i 0.294894 + 0.510772i 0.974960 0.222379i \(-0.0713822\pi\)
−0.680066 + 0.733151i \(0.738049\pi\)
\(522\) 0.0643164 + 0.0371331i 0.00281505 + 0.00162527i
\(523\) 14.3740 0.628531 0.314265 0.949335i \(-0.398242\pi\)
0.314265 + 0.949335i \(0.398242\pi\)
\(524\) −1.10769 1.91858i −0.0483897 0.0838134i
\(525\) 13.1075i 0.572056i
\(526\) 1.88371i 0.0821335i
\(527\) −9.89080 15.1256i −0.430850 0.658881i
\(528\) 7.29950i 0.317670i
\(529\) −10.2764 −0.446798
\(530\) −2.77109 4.79967i −0.120368 0.208484i
\(531\) 0.0481491i 0.00208949i
\(532\) −0.335838 + 0.581689i −0.0145604 + 0.0252194i
\(533\) 7.01883 2.51530i 0.304019 0.108950i
\(534\) 7.05214 + 12.2147i 0.305176 + 0.528580i
\(535\) 1.00469i 0.0434367i
\(536\) −16.2492 + 28.1445i −0.701860 + 1.21566i
\(537\) 14.9604 25.9121i 0.645587 1.11819i
\(538\) 0.0782793 + 0.0451946i 0.00337486 + 0.00194848i
\(539\) −3.87938 + 2.23976i −0.167097 + 0.0964733i
\(540\) −0.279496 0.161367i −0.0120276 0.00694413i
\(541\) −30.0665 + 17.3589i −1.29266 + 0.746319i −0.979125 0.203257i \(-0.934847\pi\)
−0.313537 + 0.949576i \(0.601514\pi\)
\(542\) 47.1212 2.02403
\(543\) −22.3279 −0.958182
\(544\) −2.53936 + 1.46610i −0.108874 + 0.0628586i
\(545\) −2.19386 + 3.79988i −0.0939746 + 0.162769i
\(546\) 4.83308 + 13.4865i 0.206837 + 0.577168i
\(547\) −5.13705 + 8.89763i −0.219644 + 0.380435i −0.954699 0.297572i \(-0.903823\pi\)
0.735055 + 0.678008i \(0.237156\pi\)
\(548\) −1.50863 0.871006i −0.0644453 0.0372075i
\(549\) 0.117063 0.202760i 0.00499614 0.00865357i
\(550\) −6.96657 −0.297056
\(551\) 5.25071 3.03150i 0.223688 0.129146i
\(552\) 14.5229 8.38482i 0.618137 0.356882i
\(553\) 7.23042 + 4.17449i 0.307469 + 0.177517i
\(554\) 6.96134i 0.295759i
\(555\) −2.06250 3.57235i −0.0875482 0.151638i
\(556\) 3.44114 0.145937
\(557\) 0.457655i 0.0193915i −0.999953 0.00969573i \(-0.996914\pi\)
0.999953 0.00969573i \(-0.00308630\pi\)
\(558\) −0.164238 0.0830304i −0.00695275 0.00351496i
\(559\) 10.4306 + 1.89257i 0.441168 + 0.0800472i
\(560\) −2.60116 −0.109919
\(561\) −4.77798 + 2.75857i −0.201727 + 0.116467i
\(562\) 22.6931 0.957249
\(563\) −21.4948 + 37.2301i −0.905899 + 1.56906i −0.0861922 + 0.996279i \(0.527470\pi\)
−0.819706 + 0.572784i \(0.805863\pi\)
\(564\) 2.77461 1.60192i 0.116832 0.0674530i
\(565\) 1.42766 0.824258i 0.0600620 0.0346768i
\(566\) 16.0017i 0.672601i
\(567\) 12.2107 + 7.04984i 0.512800 + 0.296065i
\(568\) −9.03928 + 15.6565i −0.379280 + 0.656932i
\(569\) −8.46773 + 14.6665i −0.354986 + 0.614853i −0.987116 0.160009i \(-0.948848\pi\)
0.632130 + 0.774862i \(0.282181\pi\)
\(570\) 2.32576 1.34278i 0.0974152 0.0562427i
\(571\) 5.27107 9.12977i 0.220588 0.382069i −0.734399 0.678718i \(-0.762536\pi\)
0.954987 + 0.296649i \(0.0958692\pi\)
\(572\) 0.531171 0.190353i 0.0222094 0.00795906i
\(573\) −11.4041 −0.476412
\(574\) 4.72618i 0.197267i
\(575\) −8.64698 14.9770i −0.360604 0.624584i
\(576\) 0.0816523 0.141426i 0.00340218 0.00589275i
\(577\) 38.6921 22.3389i 1.61077 0.929980i 0.621582 0.783349i \(-0.286490\pi\)
0.989191 0.146631i \(-0.0468430\pi\)
\(578\) −8.22765 4.75024i −0.342225 0.197584i
\(579\) 27.8186 + 16.0611i 1.15610 + 0.667475i
\(580\) −0.121315 0.0700415i −0.00503735 0.00290831i
\(581\) −23.1972 −0.962383
\(582\) −7.37667 12.7768i −0.305773 0.529614i
\(583\) 8.19724 4.73268i 0.339495 0.196008i
\(584\) 14.9373 25.8721i 0.618109 1.07060i
\(585\) 0.00563856 0.0310761i 0.000233126 0.00128484i
\(586\) 2.59603 + 4.49645i 0.107241 + 0.185747i
\(587\) 35.8347i 1.47906i −0.673125 0.739529i \(-0.735048\pi\)
0.673125 0.739529i \(-0.264952\pi\)
\(588\) 1.27503 0.0525812
\(589\) −12.5744 + 8.22257i −0.518120 + 0.338805i
\(590\) 1.22560i 0.0504570i
\(591\) 32.2746i 1.32760i
\(592\) 22.6558 13.0803i 0.931147 0.537598i
\(593\) 20.2472i 0.831451i −0.909490 0.415726i \(-0.863528\pi\)
0.909490 0.415726i \(-0.136472\pi\)
\(594\) 3.71908 6.44164i 0.152596 0.264304i
\(595\) 0.983012 + 1.70263i 0.0402996 + 0.0698009i
\(596\) −0.278443 + 0.160759i −0.0114055 + 0.00658495i
\(597\) 45.5972 1.86617
\(598\) 14.4195 + 12.2217i 0.589656 + 0.499783i
\(599\) −12.8811 + 22.3107i −0.526306 + 0.911589i 0.473224 + 0.880942i \(0.343090\pi\)
−0.999530 + 0.0306470i \(0.990243\pi\)
\(600\) −19.7396 11.3966i −0.805864 0.465266i
\(601\) −18.5408 32.1137i −0.756297 1.30994i −0.944727 0.327858i \(-0.893673\pi\)
0.188430 0.982087i \(-0.439660\pi\)
\(602\) −3.35987 + 5.81947i −0.136938 + 0.237184i
\(603\) 0.234067 0.135138i 0.00953193 0.00550326i
\(604\) 0.350598i 0.0142656i
\(605\) 3.91219i 0.159053i
\(606\) 8.47545 4.89330i 0.344292 0.198777i
\(607\) −5.44988 + 9.43946i −0.221204 + 0.383136i −0.955174 0.296046i \(-0.904332\pi\)
0.733970 + 0.679182i \(0.237665\pi\)
\(608\) 1.21882 + 2.11106i 0.0494297 + 0.0856148i
\(609\) 5.26062 + 3.03722i 0.213171 + 0.123074i
\(610\) −2.97975 + 5.16108i −0.120647 + 0.208966i
\(611\) −31.6662 26.8398i −1.28108 1.08582i
\(612\) 0.0116847 0.000472327
\(613\) 3.96470 2.28902i 0.160133 0.0924527i −0.417792 0.908543i \(-0.637196\pi\)
0.577925 + 0.816090i \(0.303863\pi\)
\(614\) −5.65468 9.79419i −0.228204 0.395261i
\(615\) 0.700146 1.21269i 0.0282326 0.0489003i
\(616\) 4.11130i 0.165649i
\(617\) 20.0246 11.5612i 0.806161 0.465437i −0.0394602 0.999221i \(-0.512564\pi\)
0.845621 + 0.533784i \(0.179231\pi\)
\(618\) 20.7846i 0.836079i
\(619\) 36.3061i 1.45927i 0.683838 + 0.729633i \(0.260309\pi\)
−0.683838 + 0.729633i \(0.739691\pi\)
\(620\) 0.309790 + 0.156614i 0.0124415 + 0.00628977i
\(621\) 18.4647 0.740962
\(622\) 38.4090i 1.54006i
\(623\) 4.29192 + 7.43383i 0.171952 + 0.297830i
\(624\) 26.4871 + 4.80592i 1.06033 + 0.192391i
\(625\) −11.3737 + 19.6998i −0.454947 + 0.787992i
\(626\) 7.55840 4.36385i 0.302095 0.174414i
\(627\) 2.29329 + 3.97210i 0.0915854 + 0.158631i
\(628\) −0.613314 −0.0244739
\(629\) −17.1238 9.88643i −0.682770 0.394198i
\(630\) 0.0173380 + 0.0100101i 0.000690763 + 0.000398812i
\(631\) 24.1532 + 13.9448i 0.961523 + 0.555136i 0.896641 0.442757i \(-0.146000\pi\)
0.0648817 + 0.997893i \(0.479333\pi\)
\(632\) 12.5734 7.25924i 0.500142 0.288757i
\(633\) 8.34954 14.4618i 0.331864 0.574806i
\(634\) −10.9531 18.9713i −0.435003 0.753448i
\(635\) 0.487939i 0.0193633i
\(636\) −2.69417 −0.106831
\(637\) −5.57309 15.5514i −0.220814 0.616170i
\(638\) 1.61427 2.79600i 0.0639097 0.110695i
\(639\) 0.130209 0.0751761i 0.00515098 0.00297392i
\(640\) −2.43025 + 4.20931i −0.0960640 + 0.166388i
\(641\) 2.68739 4.65470i 0.106146 0.183849i −0.808060 0.589100i \(-0.799482\pi\)
0.914206 + 0.405251i \(0.132816\pi\)
\(642\) 5.70787 + 3.29544i 0.225272 + 0.130061i
\(643\) 0.209474i 0.00826084i −0.999991 0.00413042i \(-0.998685\pi\)
0.999991 0.00413042i \(-0.00131476\pi\)
\(644\) −0.768928 + 0.443941i −0.0303000 + 0.0174937i
\(645\) 1.72422 0.995477i 0.0678909 0.0391968i
\(646\) 6.43649 11.1483i 0.253240 0.438625i
\(647\) −11.7716 −0.462790 −0.231395 0.972860i \(-0.574329\pi\)
−0.231395 + 0.972860i \(0.574329\pi\)
\(648\) 21.2338 12.2594i 0.834143 0.481593i
\(649\) −2.09317 −0.0821640
\(650\) 4.58672 25.2790i 0.179906 0.991525i
\(651\) −13.4335 6.79128i −0.526499 0.266171i
\(652\) 1.33969i 0.0524661i
\(653\) 11.6901 0.457468 0.228734 0.973489i \(-0.426541\pi\)
0.228734 + 0.973489i \(0.426541\pi\)
\(654\) 14.3919 + 24.9275i 0.562768 + 0.974742i
\(655\) 5.39079i 0.210636i
\(656\) 7.69084 + 4.44031i 0.300277 + 0.173365i
\(657\) −0.215168 + 0.124227i −0.00839450 + 0.00484657i
\(658\) 22.7876 13.1564i 0.888351 0.512890i
\(659\) 12.0310 0.468660 0.234330 0.972157i \(-0.424710\pi\)
0.234330 + 0.972157i \(0.424710\pi\)
\(660\) 0.0529856 0.0917738i 0.00206246 0.00357229i
\(661\) −22.2928 12.8708i −0.867091 0.500615i −0.000710311 1.00000i \(-0.500226\pi\)
−0.866380 + 0.499385i \(0.833559\pi\)
\(662\) −18.0067 + 31.1885i −0.699851 + 1.21218i
\(663\) −6.86401 19.1537i −0.266576 0.743867i
\(664\) −20.1695 + 34.9345i −0.782727 + 1.35572i
\(665\) 1.41545 0.817212i 0.0548889 0.0316901i
\(666\) −0.201349 −0.00780212
\(667\) 8.01461 0.310327
\(668\) −0.0549417 + 0.0317206i −0.00212576 + 0.00122731i
\(669\) −7.44444 4.29805i −0.287819 0.166172i
\(670\) −5.95797 + 3.43984i −0.230177 + 0.132892i
\(671\) −8.81448 5.08905i −0.340279 0.196460i
\(672\) −1.22112 + 2.11505i −0.0471058 + 0.0815897i
\(673\) −11.9764 + 20.7437i −0.461655 + 0.799610i −0.999044 0.0437251i \(-0.986077\pi\)
0.537389 + 0.843335i \(0.319411\pi\)
\(674\) 33.0616i 1.27348i
\(675\) −12.5486 21.7348i −0.482995 0.836571i
\(676\) 0.341001 + 2.05274i 0.0131154 + 0.0789516i
\(677\) 12.2525 21.2220i 0.470903 0.815627i −0.528543 0.848906i \(-0.677262\pi\)
0.999446 + 0.0332790i \(0.0105950\pi\)
\(678\) 10.8144i 0.415325i
\(679\) −4.48944 7.77593i −0.172289 0.298413i
\(680\) 3.41883 0.131106
\(681\) 17.8373i 0.683527i
\(682\) −3.60954 + 7.13985i −0.138217 + 0.273399i
\(683\) 30.2422i 1.15718i −0.815617 0.578592i \(-0.803602\pi\)
0.815617 0.578592i \(-0.196398\pi\)
\(684\) 0.00971391i 0.000371421i
\(685\) 2.11946 + 3.67102i 0.0809805 + 0.140262i
\(686\) 26.4702 1.01064
\(687\) 11.8190 + 6.82372i 0.450924 + 0.260341i
\(688\) 6.31329 + 10.9349i 0.240692 + 0.416891i
\(689\) 11.7761 + 32.8606i 0.448634 + 1.25189i
\(690\) 3.55000 0.135146
\(691\) −37.8542 21.8551i −1.44004 0.831408i −0.442190 0.896922i \(-0.645798\pi\)
−0.997852 + 0.0655134i \(0.979131\pi\)
\(692\) −1.34607 + 2.33147i −0.0511700 + 0.0886291i
\(693\) −0.0170960 + 0.0296112i −0.000649425 + 0.00112484i
\(694\) −15.3386 + 8.85572i −0.582244 + 0.336159i
\(695\) −7.25165 4.18674i −0.275071 0.158812i
\(696\) 9.14798 5.28159i 0.346753 0.200198i
\(697\) 6.71219i 0.254242i
\(698\) 10.3528 0.391860
\(699\) −7.10423 12.3049i −0.268707 0.465414i
\(700\) 1.04513 + 0.603404i 0.0395021 + 0.0228065i
\(701\) 10.3763 + 17.9723i 0.391908 + 0.678804i 0.992701 0.120600i \(-0.0384819\pi\)
−0.600793 + 0.799404i \(0.705149\pi\)
\(702\) 20.9257 + 17.7363i 0.789788 + 0.669412i
\(703\) −8.21893 + 14.2356i −0.309983 + 0.536906i
\(704\) −6.14815 3.54964i −0.231717 0.133782i
\(705\) −7.79606 −0.293617
\(706\) −18.1381 31.4162i −0.682637 1.18236i
\(707\) 5.15815 2.97806i 0.193992 0.112001i
\(708\) 0.515967 + 0.297894i 0.0193912 + 0.0111955i
\(709\) 43.4466i 1.63167i 0.578285 + 0.815835i \(0.303722\pi\)
−0.578285 + 0.815835i \(0.696278\pi\)
\(710\) −3.31436 + 1.91354i −0.124386 + 0.0718141i
\(711\) −0.120744 −0.00452827
\(712\) 14.9269 0.559410
\(713\) −19.8297 + 1.10212i −0.742629 + 0.0412745i
\(714\) 12.8973 0.482669
\(715\) −1.35096 0.245123i −0.0505229 0.00916707i
\(716\) 1.37741 + 2.38574i 0.0514760 + 0.0891591i
\(717\) 42.4479i 1.58525i
\(718\) −2.70679 + 4.68829i −0.101016 + 0.174966i
\(719\) −10.5613 18.2926i −0.393869 0.682201i 0.599087 0.800684i \(-0.295530\pi\)
−0.992956 + 0.118483i \(0.962197\pi\)
\(720\) 0.0325786 0.0188093i 0.00121413 0.000700980i
\(721\) 12.6495i 0.471091i
\(722\) 14.9154 + 8.61143i 0.555095 + 0.320484i
\(723\) 30.2968 + 17.4919i 1.12675 + 0.650530i
\(724\) 1.02787 1.78032i 0.0382005 0.0661651i
\(725\) −5.44672 9.43400i −0.202286 0.350370i
\(726\) −22.2259 12.8321i −0.824881 0.476245i
\(727\) −12.4725 21.6030i −0.462579 0.801210i 0.536510 0.843894i \(-0.319743\pi\)
−0.999089 + 0.0426838i \(0.986409\pi\)
\(728\) 14.9184 + 2.70684i 0.552911 + 0.100322i
\(729\) 26.7946 0.992391
\(730\) 5.47692 3.16210i 0.202710 0.117035i
\(731\) 4.77174 8.26489i 0.176489 0.305688i
\(732\) 1.44852 + 2.50891i 0.0535388 + 0.0927319i
\(733\) −42.2584 24.3979i −1.56085 0.901158i −0.997171 0.0751642i \(-0.976052\pi\)
−0.563680 0.825993i \(-0.690615\pi\)
\(734\) 10.0855 + 5.82289i 0.372264 + 0.214927i
\(735\) −2.68692 1.55129i −0.0991085 0.0572203i
\(736\) 3.22229i 0.118775i
\(737\) −5.87482 10.1755i −0.216402 0.374819i
\(738\) −0.0341755 0.0591936i −0.00125802 0.00217895i
\(739\) 30.4203 + 17.5632i 1.11903 + 0.646072i 0.941153 0.337981i \(-0.109744\pi\)
0.177876 + 0.984053i \(0.443077\pi\)
\(740\) 0.379790 0.0139614
\(741\) −15.9231 + 5.70629i −0.584951 + 0.209626i
\(742\) −22.1269 −0.812305
\(743\) 9.54791i 0.350279i 0.984544 + 0.175139i \(0.0560376\pi\)
−0.984544 + 0.175139i \(0.943962\pi\)
\(744\) −21.9076 + 14.3257i −0.803173 + 0.525204i
\(745\) 0.782366 0.0286637
\(746\) 29.1527i 1.06736i
\(747\) 0.290536 0.167741i 0.0106302 0.00613733i
\(748\) 0.507965i 0.0185730i
\(749\) 3.47380 + 2.00560i 0.126930 + 0.0732831i
\(750\) −4.90065 8.48817i −0.178946 0.309944i
\(751\) −17.6906 30.6410i −0.645538 1.11810i −0.984177 0.177188i \(-0.943300\pi\)
0.338639 0.940916i \(-0.390033\pi\)
\(752\) 49.4424i 1.80298i
\(753\) −13.4964 + 23.3765i −0.491837 + 0.851886i
\(754\) 9.08280 + 7.69844i 0.330776 + 0.280361i
\(755\) −0.426563 + 0.738829i −0.0155242 + 0.0268888i
\(756\) −1.11588 + 0.644251i −0.0405840 + 0.0234312i
\(757\) 7.43273 12.8739i 0.270147 0.467909i −0.698752 0.715364i \(-0.746261\pi\)
0.968899 + 0.247455i \(0.0795943\pi\)
\(758\) −15.7813 27.3340i −0.573203 0.992816i
\(759\) 6.06296i 0.220072i
\(760\) 2.84219i 0.103097i
\(761\) −25.4217 + 14.6772i −0.921535 + 0.532049i −0.884124 0.467251i \(-0.845244\pi\)
−0.0374106 + 0.999300i \(0.511911\pi\)
\(762\) 2.77208 + 1.60046i 0.100422 + 0.0579786i
\(763\) 8.75890 + 15.1709i 0.317093 + 0.549222i
\(764\) 0.524989 0.909307i 0.0189934