Properties

Label 731.2.z.a.67.14
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.14
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.16355 + 1.45905i) q^{2} +(0.00644316 + 0.0427476i) q^{3} +(-0.329925 - 1.44549i) q^{4} +(-0.740612 - 1.08628i) q^{5} +(-0.0698677 - 0.0403381i) q^{6} +(-2.40880 + 1.39072i) q^{7} +(-0.869832 - 0.418889i) q^{8} +(2.86493 - 0.883715i) q^{9} +O(q^{10})\) \(q+(-1.16355 + 1.45905i) q^{2} +(0.00644316 + 0.0427476i) q^{3} +(-0.329925 - 1.44549i) q^{4} +(-0.740612 - 1.08628i) q^{5} +(-0.0698677 - 0.0403381i) q^{6} +(-2.40880 + 1.39072i) q^{7} +(-0.869832 - 0.418889i) q^{8} +(2.86493 - 0.883715i) q^{9} +(2.44667 + 0.183353i) q^{10} +(3.09236 + 0.705812i) q^{11} +(0.0596656 - 0.0234170i) q^{12} +(-0.0558263 - 0.744950i) q^{13} +(0.773635 - 5.13273i) q^{14} +(0.0416639 - 0.0386584i) q^{15} +(4.29495 - 2.06834i) q^{16} +(4.07025 + 0.658050i) q^{17} +(-2.04411 + 5.20832i) q^{18} +(1.37335 + 0.423621i) q^{19} +(-1.32586 + 1.42894i) q^{20} +(-0.0749703 - 0.0940098i) q^{21} +(-4.62793 + 3.69065i) q^{22} +(-5.99104 + 6.45680i) q^{23} +(0.0123020 - 0.0398822i) q^{24} +(1.19521 - 3.04535i) q^{25} +(1.15187 + 0.785334i) q^{26} +(0.112507 + 0.233623i) q^{27} +(2.80500 + 3.02308i) q^{28} +(0.105590 - 0.700546i) q^{29} +(0.00792641 + 0.105771i) q^{30} +(-5.44517 + 2.13707i) q^{31} +(-1.54993 + 6.79067i) q^{32} +(-0.0102471 + 0.136739i) q^{33} +(-5.69607 + 5.17302i) q^{34} +(3.29470 + 1.58664i) q^{35} +(-2.22262 - 3.84968i) q^{36} +(6.51451 + 3.76116i) q^{37} +(-2.21604 + 1.51087i) q^{38} +(0.0314851 - 0.00718627i) q^{39} +(0.189178 + 1.25511i) q^{40} +(3.24224 + 2.58560i) q^{41} +0.224396 q^{42} +(5.04253 + 4.19201i) q^{43} -4.70286i q^{44} +(-3.08176 - 2.45762i) q^{45} +(-2.44990 - 16.2540i) q^{46} +(1.72426 + 7.55449i) q^{47} +(0.116089 + 0.170272i) q^{48} +(0.368220 - 0.637775i) q^{49} +(3.05262 + 5.28729i) q^{50} +(-0.00190476 + 0.178233i) q^{51} +(-1.05840 + 0.326474i) q^{52} +(-0.538293 + 7.18302i) q^{53} +(-0.471774 - 0.107679i) q^{54} +(-1.52353 - 3.88190i) q^{55} +(2.67781 - 0.200674i) q^{56} +(-0.00926009 + 0.0614367i) q^{57} +(0.899269 + 0.969182i) q^{58} +(-2.64973 + 1.27604i) q^{59} +(-0.0696264 - 0.0474705i) q^{60} +(2.31715 + 0.909413i) q^{61} +(3.21765 - 10.4313i) q^{62} +(-5.67205 + 6.11302i) q^{63} +(-2.16010 - 2.70868i) q^{64} +(-0.767877 + 0.612362i) q^{65} +(-0.187585 - 0.174054i) q^{66} +(12.0265 + 3.70970i) q^{67} +(-0.391669 - 6.10064i) q^{68} +(-0.314614 - 0.214500i) q^{69} +(-6.14854 + 2.96098i) q^{70} +(-8.87201 - 9.56175i) q^{71} +(-2.86219 - 0.431406i) q^{72} +(-1.02561 + 0.0768585i) q^{73} +(-13.0677 + 5.12868i) q^{74} +(0.137882 + 0.0314707i) q^{75} +(0.159241 - 2.12493i) q^{76} +(-8.43048 + 2.60046i) q^{77} +(-0.0261494 + 0.0542998i) q^{78} +(1.27683 - 0.737180i) q^{79} +(-5.42768 - 3.13367i) q^{80} +(7.42225 - 5.06041i) q^{81} +(-7.54502 + 1.72210i) q^{82} +(-12.8827 + 1.94175i) q^{83} +(-0.111156 + 0.139385i) q^{84} +(-2.29965 - 4.90879i) q^{85} +(-11.9836 + 2.47967i) q^{86} +0.0306270 q^{87} +(-2.39418 - 1.90930i) q^{88} +(-5.72115 + 0.862324i) q^{89} +(7.17157 - 1.63686i) q^{90} +(1.17049 + 1.71680i) q^{91} +(11.3099 + 6.52975i) q^{92} +(-0.126439 - 0.218998i) q^{93} +(-13.0286 - 6.27425i) q^{94} +(-0.556946 - 1.80557i) q^{95} +(-0.300271 - 0.0225022i) q^{96} +(9.80089 + 2.23699i) q^{97} +(0.502101 + 1.27933i) q^{98} +(9.48315 - 0.710664i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16355 + 1.45905i −0.822755 + 1.03170i 0.176124 + 0.984368i \(0.443644\pi\)
−0.998879 + 0.0473338i \(0.984928\pi\)
\(3\) 0.00644316 + 0.0427476i 0.00371996 + 0.0246803i 0.990614 0.136690i \(-0.0436466\pi\)
−0.986894 + 0.161371i \(0.948408\pi\)
\(4\) −0.329925 1.44549i −0.164962 0.722747i
\(5\) −0.740612 1.08628i −0.331212 0.485798i 0.624122 0.781327i \(-0.285457\pi\)
−0.955334 + 0.295528i \(0.904504\pi\)
\(6\) −0.0698677 0.0403381i −0.0285233 0.0164680i
\(7\) −2.40880 + 1.39072i −0.910442 + 0.525644i −0.880573 0.473910i \(-0.842842\pi\)
−0.0298685 + 0.999554i \(0.509509\pi\)
\(8\) −0.869832 0.418889i −0.307532 0.148100i
\(9\) 2.86493 0.883715i 0.954978 0.294572i
\(10\) 2.44667 + 0.183353i 0.773705 + 0.0579812i
\(11\) 3.09236 + 0.705812i 0.932383 + 0.212810i 0.661623 0.749837i \(-0.269868\pi\)
0.270760 + 0.962647i \(0.412725\pi\)
\(12\) 0.0596656 0.0234170i 0.0172240 0.00675991i
\(13\) −0.0558263 0.744950i −0.0154834 0.206612i −0.999580 0.0289780i \(-0.990775\pi\)
0.984097 0.177634i \(-0.0568443\pi\)
\(14\) 0.773635 5.13273i 0.206763 1.37178i
\(15\) 0.0416639 0.0386584i 0.0107576 0.00998156i
\(16\) 4.29495 2.06834i 1.07374 0.517084i
\(17\) 4.07025 + 0.658050i 0.987182 + 0.159601i
\(18\) −2.04411 + 5.20832i −0.481802 + 1.22761i
\(19\) 1.37335 + 0.423621i 0.315067 + 0.0971854i 0.448256 0.893905i \(-0.352045\pi\)
−0.133189 + 0.991091i \(0.542522\pi\)
\(20\) −1.32586 + 1.42894i −0.296472 + 0.319521i
\(21\) −0.0749703 0.0940098i −0.0163599 0.0205146i
\(22\) −4.62793 + 3.69065i −0.986679 + 0.786850i
\(23\) −5.99104 + 6.45680i −1.24922 + 1.34634i −0.334420 + 0.942424i \(0.608540\pi\)
−0.914798 + 0.403913i \(0.867650\pi\)
\(24\) 0.0123020 0.0398822i 0.00251114 0.00814092i
\(25\) 1.19521 3.04535i 0.239042 0.609070i
\(26\) 1.15187 + 0.785334i 0.225901 + 0.154017i
\(27\) 0.112507 + 0.233623i 0.0216519 + 0.0449607i
\(28\) 2.80500 + 3.02308i 0.530096 + 0.571308i
\(29\) 0.105590 0.700546i 0.0196076 0.130088i −0.976885 0.213764i \(-0.931428\pi\)
0.996493 + 0.0836754i \(0.0266659\pi\)
\(30\) 0.00792641 + 0.105771i 0.00144716 + 0.0193110i
\(31\) −5.44517 + 2.13707i −0.977982 + 0.383829i −0.799865 0.600180i \(-0.795096\pi\)
−0.178117 + 0.984009i \(0.557000\pi\)
\(32\) −1.54993 + 6.79067i −0.273991 + 1.20043i
\(33\) −0.0102471 + 0.136739i −0.00178380 + 0.0238032i
\(34\) −5.69607 + 5.17302i −0.976869 + 0.887165i
\(35\) 3.29470 + 1.58664i 0.556906 + 0.268192i
\(36\) −2.22262 3.84968i −0.370436 0.641614i
\(37\) 6.51451 + 3.76116i 1.07098 + 0.618330i 0.928449 0.371460i \(-0.121143\pi\)
0.142531 + 0.989790i \(0.454476\pi\)
\(38\) −2.21604 + 1.51087i −0.359489 + 0.245096i
\(39\) 0.0314851 0.00718627i 0.00504165 0.00115072i
\(40\) 0.189178 + 1.25511i 0.0299117 + 0.198451i
\(41\) 3.24224 + 2.58560i 0.506353 + 0.403803i 0.843071 0.537803i \(-0.180745\pi\)
−0.336718 + 0.941606i \(0.609317\pi\)
\(42\) 0.224396 0.0346251
\(43\) 5.04253 + 4.19201i 0.768978 + 0.639275i
\(44\) 4.70286i 0.708982i
\(45\) −3.08176 2.45762i −0.459402 0.366361i
\(46\) −2.44990 16.2540i −0.361218 2.39652i
\(47\) 1.72426 + 7.55449i 0.251510 + 1.10194i 0.930068 + 0.367389i \(0.119748\pi\)
−0.678558 + 0.734547i \(0.737395\pi\)
\(48\) 0.116089 + 0.170272i 0.0167561 + 0.0245766i
\(49\) 0.368220 0.637775i 0.0526028 0.0911108i
\(50\) 3.05262 + 5.28729i 0.431705 + 0.747735i
\(51\) −0.00190476 + 0.178233i −0.000266719 + 0.0249577i
\(52\) −1.05840 + 0.326474i −0.146774 + 0.0452738i
\(53\) −0.538293 + 7.18302i −0.0739402 + 0.986663i 0.829655 + 0.558276i \(0.188537\pi\)
−0.903595 + 0.428387i \(0.859082\pi\)
\(54\) −0.471774 0.107679i −0.0642003 0.0146533i
\(55\) −1.52353 3.88190i −0.205433 0.523435i
\(56\) 2.67781 0.200674i 0.357838 0.0268162i
\(57\) −0.00926009 + 0.0614367i −0.00122653 + 0.00813749i
\(58\) 0.899269 + 0.969182i 0.118080 + 0.127260i
\(59\) −2.64973 + 1.27604i −0.344965 + 0.166127i −0.598341 0.801241i \(-0.704173\pi\)
0.253376 + 0.967368i \(0.418459\pi\)
\(60\) −0.0696264 0.0474705i −0.00898873 0.00612842i
\(61\) 2.31715 + 0.909413i 0.296680 + 0.116438i 0.509012 0.860759i \(-0.330011\pi\)
−0.212332 + 0.977198i \(0.568106\pi\)
\(62\) 3.21765 10.4313i 0.408641 1.32478i
\(63\) −5.67205 + 6.11302i −0.714612 + 0.770168i
\(64\) −2.16010 2.70868i −0.270012 0.338585i
\(65\) −0.767877 + 0.612362i −0.0952434 + 0.0759541i
\(66\) −0.187585 0.174054i −0.0230901 0.0214245i
\(67\) 12.0265 + 3.70970i 1.46928 + 0.453212i 0.923133 0.384480i \(-0.125619\pi\)
0.546143 + 0.837692i \(0.316095\pi\)
\(68\) −0.391669 6.10064i −0.0474968 0.739811i
\(69\) −0.314614 0.214500i −0.0378751 0.0258228i
\(70\) −6.14854 + 2.96098i −0.734891 + 0.353905i
\(71\) −8.87201 9.56175i −1.05291 1.13477i −0.990611 0.136714i \(-0.956346\pi\)
−0.0623029 0.998057i \(-0.519844\pi\)
\(72\) −2.86219 0.431406i −0.337312 0.0508416i
\(73\) −1.02561 + 0.0768585i −0.120038 + 0.00899561i −0.134614 0.990898i \(-0.542979\pi\)
0.0145756 + 0.999894i \(0.495360\pi\)
\(74\) −13.0677 + 5.12868i −1.51909 + 0.596197i
\(75\) 0.137882 + 0.0314707i 0.0159213 + 0.00363393i
\(76\) 0.159241 2.12493i 0.0182662 0.243746i
\(77\) −8.43048 + 2.60046i −0.960743 + 0.296350i
\(78\) −0.0261494 + 0.0542998i −0.00296084 + 0.00614825i
\(79\) 1.27683 0.737180i 0.143655 0.0829392i −0.426450 0.904511i \(-0.640236\pi\)
0.570105 + 0.821572i \(0.306903\pi\)
\(80\) −5.42768 3.13367i −0.606833 0.350355i
\(81\) 7.42225 5.06041i 0.824695 0.562268i
\(82\) −7.54502 + 1.72210i −0.833208 + 0.190174i
\(83\) −12.8827 + 1.94175i −1.41406 + 0.213135i −0.811225 0.584735i \(-0.801199\pi\)
−0.602831 + 0.797869i \(0.705961\pi\)
\(84\) −0.111156 + 0.139385i −0.0121281 + 0.0152082i
\(85\) −2.29965 4.90879i −0.249432 0.532433i
\(86\) −11.9836 + 2.47967i −1.29222 + 0.267390i
\(87\) 0.0306270 0.00328356
\(88\) −2.39418 1.90930i −0.255221 0.203532i
\(89\) −5.72115 + 0.862324i −0.606440 + 0.0914062i −0.445082 0.895490i \(-0.646826\pi\)
−0.161358 + 0.986896i \(0.551587\pi\)
\(90\) 7.17157 1.63686i 0.755950 0.172541i
\(91\) 1.17049 + 1.71680i 0.122701 + 0.179969i
\(92\) 11.3099 + 6.52975i 1.17913 + 0.680774i
\(93\) −0.126439 0.218998i −0.0131111 0.0227091i
\(94\) −13.0286 6.27425i −1.34380 0.647140i
\(95\) −0.556946 1.80557i −0.0571414 0.185248i
\(96\) −0.300271 0.0225022i −0.0306463 0.00229662i
\(97\) 9.80089 + 2.23699i 0.995129 + 0.227132i 0.688924 0.724834i \(-0.258083\pi\)
0.306205 + 0.951965i \(0.400941\pi\)
\(98\) 0.502101 + 1.27933i 0.0507199 + 0.129232i
\(99\) 9.48315 0.710664i 0.953092 0.0714244i
\(100\) −4.79636 0.722935i −0.479636 0.0722935i
\(101\) 4.38922 4.07260i 0.436744 0.405239i −0.430920 0.902390i \(-0.641811\pi\)
0.867664 + 0.497151i \(0.165621\pi\)
\(102\) −0.257835 0.210163i −0.0255294 0.0208092i
\(103\) 8.19612 + 5.58802i 0.807588 + 0.550604i 0.895259 0.445545i \(-0.146990\pi\)
−0.0876716 + 0.996149i \(0.527943\pi\)
\(104\) −0.263492 + 0.671367i −0.0258375 + 0.0658329i
\(105\) −0.0465969 + 0.151063i −0.00454739 + 0.0147423i
\(106\) −9.85403 9.14320i −0.957108 0.888066i
\(107\) 2.22369 1.77333i 0.214972 0.171435i −0.510083 0.860125i \(-0.670385\pi\)
0.725056 + 0.688690i \(0.241814\pi\)
\(108\) 0.300582 0.239706i 0.0289235 0.0230657i
\(109\) 5.59953 6.03486i 0.536338 0.578035i −0.405503 0.914094i \(-0.632904\pi\)
0.941841 + 0.336059i \(0.109094\pi\)
\(110\) 7.43658 + 2.29388i 0.709050 + 0.218713i
\(111\) −0.118806 + 0.302713i −0.0112766 + 0.0287323i
\(112\) −7.46920 + 10.9553i −0.705773 + 1.03518i
\(113\) 4.99756 + 10.3775i 0.470131 + 0.976236i 0.992354 + 0.123427i \(0.0393886\pi\)
−0.522223 + 0.852809i \(0.674897\pi\)
\(114\) −0.0788644 0.0849956i −0.00738633 0.00796057i
\(115\) 11.4509 + 1.72595i 1.06780 + 0.160945i
\(116\) −1.04747 + 0.0784971i −0.0972553 + 0.00728828i
\(117\) −0.818262 2.08490i −0.0756483 0.192749i
\(118\) 1.22129 5.35082i 0.112429 0.492583i
\(119\) −10.7196 + 4.07548i −0.982665 + 0.373599i
\(120\) −0.0524342 + 0.0161738i −0.00478656 + 0.00147646i
\(121\) −0.846115 0.407467i −0.0769195 0.0370425i
\(122\) −4.02299 + 2.32268i −0.364225 + 0.210285i
\(123\) −0.0896378 + 0.155257i −0.00808237 + 0.0139991i
\(124\) 4.88562 + 7.16589i 0.438742 + 0.643516i
\(125\) −10.6021 + 2.41986i −0.948281 + 0.216439i
\(126\) −2.31946 15.3886i −0.206634 1.37093i
\(127\) 9.03303 11.3271i 0.801552 1.00511i −0.198137 0.980174i \(-0.563489\pi\)
0.999689 0.0249399i \(-0.00793943\pi\)
\(128\) −7.46514 −0.659832
\(129\) −0.146708 + 0.242566i −0.0129169 + 0.0213567i
\(130\) 1.83288i 0.160754i
\(131\) 17.0244 + 13.5765i 1.48743 + 1.18618i 0.936021 + 0.351945i \(0.114480\pi\)
0.551405 + 0.834238i \(0.314092\pi\)
\(132\) 0.201036 0.0303013i 0.0174979 0.00263739i
\(133\) −3.89726 + 0.889524i −0.337935 + 0.0771315i
\(134\) −19.4061 + 13.2309i −1.67643 + 1.14297i
\(135\) 0.170455 0.295237i 0.0146705 0.0254100i
\(136\) −3.26479 2.27738i −0.279953 0.195284i
\(137\) 5.28728 + 2.54622i 0.451723 + 0.217538i 0.645890 0.763430i \(-0.276486\pi\)
−0.194168 + 0.980968i \(0.562201\pi\)
\(138\) 0.679035 0.209455i 0.0578033 0.0178300i
\(139\) −4.55868 0.341626i −0.386662 0.0289763i −0.120019 0.992772i \(-0.538295\pi\)
−0.266643 + 0.963795i \(0.585915\pi\)
\(140\) 1.20648 5.28594i 0.101966 0.446743i
\(141\) −0.311826 + 0.122383i −0.0262605 + 0.0103065i
\(142\) 24.2741 1.81909i 2.03703 0.152655i
\(143\) 0.353159 2.34306i 0.0295327 0.195936i
\(144\) 10.4769 9.72116i 0.873076 0.810096i
\(145\) −0.839189 + 0.404132i −0.0696908 + 0.0335613i
\(146\) 1.08120 1.58584i 0.0894811 0.131245i
\(147\) 0.0296358 + 0.0116312i 0.00244432 + 0.000959326i
\(148\) 3.28743 10.6576i 0.270225 0.876048i
\(149\) 3.97152 + 3.68503i 0.325360 + 0.301890i 0.825892 0.563828i \(-0.190672\pi\)
−0.500532 + 0.865718i \(0.666862\pi\)
\(150\) −0.206350 + 0.164559i −0.0168484 + 0.0134362i
\(151\) −11.3379 14.2173i −0.922666 1.15699i −0.987266 0.159075i \(-0.949149\pi\)
0.0646003 0.997911i \(-0.479423\pi\)
\(152\) −1.01713 0.943759i −0.0825002 0.0765490i
\(153\) 12.2425 1.71167i 0.989750 0.138381i
\(154\) 6.01510 15.3262i 0.484711 1.23502i
\(155\) 6.35421 + 4.33223i 0.510382 + 0.347973i
\(156\) −0.0207754 0.0431406i −0.00166337 0.00345401i
\(157\) 1.58590 1.47150i 0.126568 0.117438i −0.614349 0.789034i \(-0.710581\pi\)
0.740918 + 0.671596i \(0.234391\pi\)
\(158\) −0.410080 + 2.72071i −0.0326242 + 0.216448i
\(159\) −0.310525 + 0.0232706i −0.0246262 + 0.00184548i
\(160\) 8.52445 3.34560i 0.673917 0.264493i
\(161\) 5.45160 23.8850i 0.429647 1.88240i
\(162\) −1.25280 + 16.7175i −0.0984293 + 1.31345i
\(163\) −5.41460 17.5537i −0.424104 1.37491i −0.875772 0.482725i \(-0.839647\pi\)
0.451668 0.892186i \(-0.350829\pi\)
\(164\) 2.66777 5.53969i 0.208318 0.432577i
\(165\) 0.156125 0.0901390i 0.0121543 0.00701731i
\(166\) 12.1565 21.0557i 0.943529 1.63424i
\(167\) −2.69332 3.95037i −0.208415 0.305689i 0.707771 0.706442i \(-0.249701\pi\)
−0.916186 + 0.400753i \(0.868748\pi\)
\(168\) 0.0258319 + 0.113177i 0.00199298 + 0.00873180i
\(169\) 12.3030 1.85437i 0.946382 0.142644i
\(170\) 9.83791 + 2.35632i 0.754533 + 0.180722i
\(171\) 4.30891 0.329510
\(172\) 4.39587 8.67199i 0.335182 0.661233i
\(173\) 5.17712i 0.393609i −0.980443 0.196805i \(-0.936944\pi\)
0.980443 0.196805i \(-0.0630565\pi\)
\(174\) −0.0356360 + 0.0446862i −0.00270156 + 0.00338765i
\(175\) 1.35621 + 8.99785i 0.102520 + 0.680174i
\(176\) 14.7414 3.36463i 1.11117 0.253618i
\(177\) −0.0716203 0.105048i −0.00538331 0.00789587i
\(178\) 5.39867 9.35078i 0.404648 0.700870i
\(179\) −1.30865 2.26665i −0.0978132 0.169417i 0.812966 0.582311i \(-0.197851\pi\)
−0.910779 + 0.412894i \(0.864518\pi\)
\(180\) −2.53573 + 5.26550i −0.189002 + 0.392467i
\(181\) 5.84821 + 18.9594i 0.434694 + 1.40924i 0.862814 + 0.505521i \(0.168700\pi\)
−0.428121 + 0.903722i \(0.640824\pi\)
\(182\) −3.86682 0.289778i −0.286628 0.0214798i
\(183\) −0.0239454 + 0.104912i −0.00177010 + 0.00775531i
\(184\) 7.91588 3.10676i 0.583567 0.229033i
\(185\) −0.739064 9.86213i −0.0543371 0.725078i
\(186\) 0.466647 + 0.0703357i 0.0342162 + 0.00515726i
\(187\) 12.1222 + 4.90776i 0.886466 + 0.358891i
\(188\) 10.3511 4.98482i 0.754931 0.363556i
\(189\) −0.595911 0.406285i −0.0433462 0.0295529i
\(190\) 3.28245 + 1.28827i 0.238134 + 0.0934607i
\(191\) 2.62408 + 0.809421i 0.189872 + 0.0585677i 0.388233 0.921561i \(-0.373086\pi\)
−0.198361 + 0.980129i \(0.563562\pi\)
\(192\) 0.101872 0.109791i 0.00735195 0.00792352i
\(193\) 11.2662 8.98452i 0.810961 0.646720i −0.127603 0.991825i \(-0.540728\pi\)
0.938564 + 0.345105i \(0.112157\pi\)
\(194\) −14.6677 + 11.6971i −1.05308 + 0.839803i
\(195\) −0.0311245 0.0288793i −0.00222887 0.00206809i
\(196\) −1.04339 0.321842i −0.0745275 0.0229887i
\(197\) −8.46671 3.32294i −0.603228 0.236749i 0.0440181 0.999031i \(-0.485984\pi\)
−0.647246 + 0.762281i \(0.724079\pi\)
\(198\) −9.99724 + 14.6633i −0.710473 + 1.04207i
\(199\) 9.64422 + 20.0264i 0.683661 + 1.41964i 0.896721 + 0.442597i \(0.145943\pi\)
−0.213060 + 0.977039i \(0.568343\pi\)
\(200\) −2.31530 + 2.14828i −0.163716 + 0.151906i
\(201\) −0.0810917 + 0.538008i −0.00571976 + 0.0379482i
\(202\) 0.835034 + 11.1428i 0.0587528 + 0.784001i
\(203\) 0.719919 + 1.83432i 0.0505284 + 0.128744i
\(204\) 0.258264 0.0560503i 0.0180821 0.00392430i
\(205\) 0.407439 5.43690i 0.0284568 0.379729i
\(206\) −17.6898 + 5.45658i −1.23251 + 0.380178i
\(207\) −11.4579 + 23.7927i −0.796382 + 1.65371i
\(208\) −1.78058 3.08405i −0.123461 0.213841i
\(209\) 3.94789 + 2.27932i 0.273081 + 0.157664i
\(210\) −0.166191 0.243757i −0.0114682 0.0168208i
\(211\) 10.2534 2.34027i 0.705874 0.161111i 0.145509 0.989357i \(-0.453518\pi\)
0.560365 + 0.828246i \(0.310661\pi\)
\(212\) 10.5606 1.59175i 0.725305 0.109322i
\(213\) 0.351578 0.440865i 0.0240897 0.0302075i
\(214\) 5.30783i 0.362836i
\(215\) 0.819128 8.58223i 0.0558641 0.585303i
\(216\) 0.250341i 0.0170335i
\(217\) 10.1443 12.7205i 0.688638 0.863524i
\(218\) 2.28980 + 15.1918i 0.155085 + 1.02892i
\(219\) −0.00989366 0.0433469i −0.000668551 0.00292912i
\(220\) −5.10861 + 3.48299i −0.344422 + 0.234823i
\(221\) 0.262988 3.06887i 0.0176905 0.206435i
\(222\) −0.303436 0.525566i −0.0203653 0.0352737i
\(223\) −2.63131 1.26717i −0.176205 0.0848560i 0.343702 0.939079i \(-0.388319\pi\)
−0.519907 + 0.854223i \(0.674033\pi\)
\(224\) −5.71048 18.5129i −0.381547 1.23695i
\(225\) 0.732981 9.78095i 0.0488654 0.652063i
\(226\) −20.9562 4.78312i −1.39399 0.318168i
\(227\) −15.5061 + 6.08570i −1.02918 + 0.403922i −0.819032 0.573748i \(-0.805489\pi\)
−0.210145 + 0.977670i \(0.567394\pi\)
\(228\) 0.0918615 0.00688407i 0.00608368 0.000455909i
\(229\) −0.750613 0.113137i −0.0496019 0.00747629i 0.124194 0.992258i \(-0.460365\pi\)
−0.173796 + 0.984782i \(0.555603\pi\)
\(230\) −15.8420 + 14.6992i −1.04459 + 0.969236i
\(231\) −0.165482 0.343627i −0.0108879 0.0226090i
\(232\) −0.385297 + 0.565127i −0.0252960 + 0.0371024i
\(233\) −17.1600 6.73478i −1.12419 0.441210i −0.270876 0.962614i \(-0.587313\pi\)
−0.853310 + 0.521404i \(0.825409\pi\)
\(234\) 3.99405 + 1.23200i 0.261099 + 0.0805385i
\(235\) 6.92926 7.46797i 0.452015 0.487157i
\(236\) 2.71872 + 3.40917i 0.176974 + 0.221918i
\(237\) 0.0397395 + 0.0498318i 0.00258136 + 0.00323692i
\(238\) 6.52649 20.3824i 0.423049 1.32120i
\(239\) 19.8452 + 6.12143i 1.28368 + 0.395962i 0.860206 0.509947i \(-0.170335\pi\)
0.423472 + 0.905909i \(0.360811\pi\)
\(240\) 0.0989854 0.252211i 0.00638948 0.0162801i
\(241\) 2.90898 4.26669i 0.187384 0.274842i −0.721039 0.692895i \(-0.756335\pi\)
0.908423 + 0.418053i \(0.137287\pi\)
\(242\) 1.57901 0.760412i 0.101503 0.0488811i
\(243\) 0.793253 + 0.854923i 0.0508872 + 0.0548434i
\(244\) 0.550067 3.64946i 0.0352144 0.233633i
\(245\) −0.965509 + 0.0723549i −0.0616841 + 0.00462258i
\(246\) −0.122229 0.311436i −0.00779306 0.0198564i
\(247\) 0.238908 1.04672i 0.0152013 0.0666014i
\(248\) 5.63158 + 0.422029i 0.357606 + 0.0267988i
\(249\) −0.166010 0.538191i −0.0105205 0.0341065i
\(250\) 8.80539 18.2846i 0.556902 1.15642i
\(251\) 1.58262 + 2.74117i 0.0998938 + 0.173021i 0.911641 0.410988i \(-0.134816\pi\)
−0.811747 + 0.584010i \(0.801483\pi\)
\(252\) 10.7077 + 6.18209i 0.674521 + 0.389435i
\(253\) −23.0838 + 15.7382i −1.45126 + 0.989455i
\(254\) 6.01632 + 26.3592i 0.377498 + 1.65392i
\(255\) 0.195022 0.129933i 0.0122127 0.00813670i
\(256\) 13.0063 16.3094i 0.812892 1.01933i
\(257\) −23.3522 −1.45667 −0.728335 0.685222i \(-0.759705\pi\)
−0.728335 + 0.685222i \(0.759705\pi\)
\(258\) −0.183212 0.496292i −0.0114063 0.0308978i
\(259\) −20.9229 −1.30009
\(260\) 1.13851 + 0.907929i 0.0706072 + 0.0563073i
\(261\) −0.316573 2.10033i −0.0195954 0.130007i
\(262\) −39.6174 + 9.04242i −2.44757 + 0.558643i
\(263\) −4.76552 + 3.24908i −0.293854 + 0.200347i −0.701269 0.712897i \(-0.747383\pi\)
0.407415 + 0.913243i \(0.366430\pi\)
\(264\) 0.0661917 0.114647i 0.00407381 0.00705605i
\(265\) 8.20142 4.73509i 0.503809 0.290874i
\(266\) 3.23680 6.72129i 0.198461 0.412109i
\(267\) −0.0737245 0.239009i −0.00451187 0.0146271i
\(268\) 1.39449 18.6082i 0.0851823 1.13668i
\(269\) 10.1042 + 2.30622i 0.616066 + 0.140613i 0.519155 0.854680i \(-0.326247\pi\)
0.0969106 + 0.995293i \(0.469104\pi\)
\(270\) 0.232432 + 0.592226i 0.0141453 + 0.0360417i
\(271\) −1.85925 24.8100i −0.112942 1.50710i −0.709600 0.704605i \(-0.751124\pi\)
0.596658 0.802496i \(-0.296495\pi\)
\(272\) 18.8426 5.59237i 1.14250 0.339087i
\(273\) −0.0658473 + 0.0610974i −0.00398526 + 0.00369778i
\(274\) −9.86707 + 4.75173i −0.596091 + 0.287063i
\(275\) 5.84547 8.57373i 0.352495 0.517015i
\(276\) −0.206260 + 0.525541i −0.0124154 + 0.0316339i
\(277\) −0.0244180 + 0.0791613i −0.00146714 + 0.00475634i −0.956303 0.292376i \(-0.905554\pi\)
0.954836 + 0.297132i \(0.0960303\pi\)
\(278\) 5.80270 6.25382i 0.348023 0.375079i
\(279\) −13.7115 + 10.9345i −0.820885 + 0.654634i
\(280\) −2.20121 2.76023i −0.131547 0.164955i
\(281\) −3.74101 3.47115i −0.223170 0.207071i 0.560662 0.828045i \(-0.310547\pi\)
−0.783831 + 0.620974i \(0.786737\pi\)
\(282\) 0.184264 0.597368i 0.0109727 0.0355727i
\(283\) −26.3017 10.3226i −1.56347 0.613617i −0.583386 0.812195i \(-0.698273\pi\)
−0.980085 + 0.198578i \(0.936368\pi\)
\(284\) −10.8944 + 15.9791i −0.646461 + 0.948184i
\(285\) 0.0735954 0.0354417i 0.00435942 0.00209938i
\(286\) 3.00771 + 3.24154i 0.177850 + 0.191677i
\(287\) −11.4058 1.71914i −0.673261 0.101478i
\(288\) 1.56058 + 20.8245i 0.0919582 + 1.22710i
\(289\) 16.1339 + 5.35686i 0.949055 + 0.315110i
\(290\) 0.386791 1.69464i 0.0227132 0.0995129i
\(291\) −0.0324771 + 0.433377i −0.00190384 + 0.0254050i
\(292\) 0.449471 + 1.45715i 0.0263033 + 0.0852732i
\(293\) −13.5100 6.50606i −0.789261 0.380088i −0.00458157 0.999990i \(-0.501458\pi\)
−0.784680 + 0.619901i \(0.787173\pi\)
\(294\) −0.0514533 + 0.0297066i −0.00300082 + 0.00173252i
\(295\) 3.34856 + 1.93329i 0.194960 + 0.112560i
\(296\) −4.09103 6.00043i −0.237786 0.348768i
\(297\) 0.183018 + 0.801855i 0.0106198 + 0.0465284i
\(298\) −9.99771 + 1.50691i −0.579152 + 0.0872930i
\(299\) 5.14445 + 4.10257i 0.297511 + 0.237257i
\(300\) 0.209691i 0.0121065i
\(301\) −17.9764 3.08496i −1.03614 0.177814i
\(302\) 33.9359 1.95279
\(303\) 0.202374 + 0.161388i 0.0116261 + 0.00927150i
\(304\) 6.77464 1.02111i 0.388552 0.0585648i
\(305\) −0.728230 3.19059i −0.0416983 0.182692i
\(306\) −11.7474 + 19.8540i −0.671554 + 1.13498i
\(307\) −12.8801 + 22.3089i −0.735104 + 1.27324i 0.219573 + 0.975596i \(0.429534\pi\)
−0.954678 + 0.297642i \(0.903800\pi\)
\(308\) 6.54037 + 11.3283i 0.372672 + 0.645487i
\(309\) −0.186065 + 0.386369i −0.0105849 + 0.0219798i
\(310\) −13.7144 + 4.23032i −0.778924 + 0.240266i
\(311\) 19.8468 + 1.48731i 1.12541 + 0.0843376i 0.624399 0.781105i \(-0.285344\pi\)
0.501008 + 0.865443i \(0.332963\pi\)
\(312\) −0.0303970 0.00693792i −0.00172089 0.000392782i
\(313\) 20.2396 7.94347i 1.14401 0.448991i 0.283777 0.958890i \(-0.408412\pi\)
0.860234 + 0.509899i \(0.170317\pi\)
\(314\) 0.301712 + 4.02606i 0.0170266 + 0.227204i
\(315\) 10.8412 + 1.63405i 0.610834 + 0.0920684i
\(316\) −1.48685 1.60244i −0.0836417 0.0901444i
\(317\) −7.79453 16.1855i −0.437784 0.909068i −0.996802 0.0799125i \(-0.974536\pi\)
0.559018 0.829156i \(-0.311178\pi\)
\(318\) 0.327359 0.480147i 0.0183574 0.0269253i
\(319\) 0.820977 2.09182i 0.0459659 0.117119i
\(320\) −1.34258 + 4.35255i −0.0750527 + 0.243315i
\(321\) 0.0901333 + 0.0836315i 0.00503075 + 0.00466785i
\(322\) 28.5062 + 35.7456i 1.58859 + 1.99202i
\(323\) 5.31110 + 2.62798i 0.295518 + 0.146225i
\(324\) −9.76357 9.05927i −0.542421 0.503293i
\(325\) −2.33536 0.720362i −0.129542 0.0399585i
\(326\) 31.9118 + 12.5245i 1.76743 + 0.693666i
\(327\) 0.294054 + 0.200483i 0.0162612 + 0.0110867i
\(328\) −1.73712 3.60718i −0.0959166 0.199173i
\(329\) −14.6596 15.7993i −0.808210 0.871044i
\(330\) −0.0501428 + 0.332676i −0.00276027 + 0.0183132i
\(331\) −0.183820 2.45290i −0.0101036 0.134824i 0.989871 0.141971i \(-0.0453440\pi\)
−0.999974 + 0.00714724i \(0.997725\pi\)
\(332\) 7.05709 + 17.9812i 0.387308 + 0.986845i
\(333\) 21.9874 + 5.01849i 1.20490 + 0.275011i
\(334\) 8.89759 + 0.666782i 0.486854 + 0.0364847i
\(335\) −4.87724 15.8116i −0.266472 0.863881i
\(336\) −0.516438 0.248703i −0.0281740 0.0135679i
\(337\) −28.2441 + 16.3067i −1.53855 + 0.888285i −0.539631 + 0.841902i \(0.681436\pi\)
−0.998924 + 0.0463831i \(0.985231\pi\)
\(338\) −11.6095 + 20.1083i −0.631474 + 1.09375i
\(339\) −0.411414 + 0.280498i −0.0223450 + 0.0152345i
\(340\) −6.33691 + 4.94366i −0.343667 + 0.268108i
\(341\) −18.3468 + 2.76534i −0.993536 + 0.149751i
\(342\) −5.01363 + 6.28689i −0.271106 + 0.339956i
\(343\) 17.4218i 0.940686i
\(344\) −2.63017 5.75860i −0.141809 0.310483i
\(345\) 0.500619i 0.0269524i
\(346\) 7.55366 + 6.02385i 0.406087 + 0.323844i
\(347\) −0.334375 2.21843i −0.0179502 0.119092i 0.978061 0.208318i \(-0.0667988\pi\)
−0.996011 + 0.0892260i \(0.971561\pi\)
\(348\) −0.0101046 0.0442711i −0.000541663 0.00237318i
\(349\) −23.0321 + 15.7030i −1.23288 + 0.840562i −0.991530 0.129877i \(-0.958542\pi\)
−0.241347 + 0.970439i \(0.577589\pi\)
\(350\) −14.7063 8.49069i −0.786085 0.453846i
\(351\) 0.167757 0.0968543i 0.00895418 0.00516970i
\(352\) −9.58588 + 19.9053i −0.510929 + 1.06095i
\(353\) 9.61071 2.96451i 0.511527 0.157785i −0.0282377 0.999601i \(-0.508990\pi\)
0.539764 + 0.841816i \(0.318513\pi\)
\(354\) 0.236603 + 0.0177310i 0.0125753 + 0.000942391i
\(355\) −3.81600 + 16.7190i −0.202532 + 0.887353i
\(356\) 3.13403 + 7.98538i 0.166103 + 0.423224i
\(357\) −0.243285 0.431978i −0.0128760 0.0228627i
\(358\) 4.82983 + 0.727980i 0.255264 + 0.0384749i
\(359\) −22.8097 + 21.1643i −1.20385 + 1.11701i −0.213716 + 0.976896i \(0.568557\pi\)
−0.990135 + 0.140115i \(0.955253\pi\)
\(360\) 1.65114 + 3.42864i 0.0870229 + 0.180705i
\(361\) −13.9919 9.53952i −0.736416 0.502080i
\(362\) −34.4674 13.5274i −1.81156 0.710987i
\(363\) 0.0119666 0.0387947i 0.000628083 0.00203620i
\(364\) 2.09545 2.25836i 0.109831 0.118370i
\(365\) 0.843065 + 1.05717i 0.0441280 + 0.0553348i
\(366\) −0.125210 0.157008i −0.00654481 0.00820693i
\(367\) 7.55020 8.13718i 0.394117 0.424758i −0.504554 0.863380i \(-0.668343\pi\)
0.898671 + 0.438623i \(0.144534\pi\)
\(368\) −12.3763 + 40.1231i −0.645162 + 2.09156i
\(369\) 11.5737 + 4.54235i 0.602504 + 0.236465i
\(370\) 15.2492 + 10.3968i 0.792770 + 0.540502i
\(371\) −8.69294 18.0511i −0.451315 0.937166i
\(372\) −0.274846 + 0.255019i −0.0142501 + 0.0132221i
\(373\) −27.6542 4.16819i −1.43188 0.215821i −0.613133 0.789979i \(-0.710091\pi\)
−0.818744 + 0.574158i \(0.805329\pi\)
\(374\) −21.2655 + 11.9765i −1.09961 + 0.619290i
\(375\) −0.171754 0.437622i −0.00886935 0.0225987i
\(376\) 1.66467 7.29341i 0.0858490 0.376129i
\(377\) −0.527766 0.0395506i −0.0271813 0.00203696i
\(378\) 1.28616 0.396729i 0.0661531 0.0204055i
\(379\) −2.43157 + 5.04921i −0.124901 + 0.259360i −0.954038 0.299686i \(-0.903118\pi\)
0.829137 + 0.559046i \(0.188832\pi\)
\(380\) −2.42620 + 1.40077i −0.124461 + 0.0718577i
\(381\) 0.542406 + 0.313158i 0.0277883 + 0.0160436i
\(382\) −4.23423 + 2.88685i −0.216642 + 0.147704i
\(383\) −0.142538 0.624501i −0.00728337 0.0319105i 0.971156 0.238446i \(-0.0766381\pi\)
−0.978439 + 0.206536i \(0.933781\pi\)
\(384\) −0.0480991 0.319117i −0.00245455 0.0162849i
\(385\) 9.06853 + 7.23191i 0.462175 + 0.368572i
\(386\) 26.8919i 1.36876i
\(387\) 18.1510 + 7.55366i 0.922669 + 0.383974i
\(388\) 14.9052i 0.756695i
\(389\) 6.28580 7.88215i 0.318703 0.399641i −0.596514 0.802603i \(-0.703448\pi\)
0.915217 + 0.402962i \(0.132019\pi\)
\(390\) 0.0783513 0.0118096i 0.00396747 0.000598000i
\(391\) −28.6340 + 22.3384i −1.44808 + 1.12970i
\(392\) −0.587446 + 0.400514i −0.0296705 + 0.0202290i
\(393\) −0.470671 + 0.815226i −0.0237422 + 0.0411227i
\(394\) 14.6998 8.48691i 0.740563 0.427564i
\(395\) −1.74642 0.841031i −0.0878719 0.0423169i
\(396\) −4.15598 13.4734i −0.208846 0.677062i
\(397\) 23.2013 + 1.73870i 1.16444 + 0.0872629i 0.642891 0.765957i \(-0.277735\pi\)
0.521551 + 0.853220i \(0.325354\pi\)
\(398\) −40.4410 9.23040i −2.02713 0.462678i
\(399\) −0.0631357 0.160867i −0.00316074 0.00805343i
\(400\) −1.16544 15.5517i −0.0582720 0.777586i
\(401\) −5.23789 + 34.7511i −0.261568 + 1.73539i 0.343446 + 0.939172i \(0.388406\pi\)
−0.605014 + 0.796215i \(0.706832\pi\)
\(402\) −0.690624 0.744316i −0.0344452 0.0371231i
\(403\) 1.89600 + 3.93708i 0.0944463 + 0.196120i
\(404\) −7.33503 5.00094i −0.364931 0.248806i
\(405\) −10.9940 4.31483i −0.546297 0.214406i
\(406\) −3.51402 1.08393i −0.174398 0.0537947i
\(407\) 17.4906 + 16.2289i 0.866976 + 0.804436i
\(408\) 0.0763169 0.154235i 0.00377825 0.00763578i
\(409\) 2.98345 + 3.74112i 0.147522 + 0.184987i 0.850102 0.526618i \(-0.176540\pi\)
−0.702580 + 0.711605i \(0.747969\pi\)
\(410\) 7.45861 + 6.92058i 0.368354 + 0.341783i
\(411\) −0.0747779 + 0.242424i −0.00368852 + 0.0119579i
\(412\) 5.37335 13.6911i 0.264726 0.674511i
\(413\) 4.60805 6.75877i 0.226747 0.332577i
\(414\) −21.3827 44.4017i −1.05090 2.18222i
\(415\) 11.6503 + 12.5561i 0.571892 + 0.616353i
\(416\) 5.14524 + 0.775520i 0.252266 + 0.0380230i
\(417\) −0.0147686 0.197074i −0.000723223 0.00965074i
\(418\) −7.91920 + 3.10806i −0.387341 + 0.152020i
\(419\) 6.86103 + 1.56599i 0.335183 + 0.0765034i 0.386800 0.922164i \(-0.373580\pi\)
−0.0516168 + 0.998667i \(0.516437\pi\)
\(420\) 0.233735 + 0.0175160i 0.0114051 + 0.000854693i
\(421\) −2.52700 + 0.779476i −0.123158 + 0.0379894i −0.355722 0.934592i \(-0.615765\pi\)
0.232563 + 0.972581i \(0.425289\pi\)
\(422\) −8.51580 + 17.6832i −0.414542 + 0.860806i
\(423\) 11.6159 + 20.1193i 0.564785 + 0.978236i
\(424\) 3.47711 6.02253i 0.168863 0.292480i
\(425\) 6.86881 11.6088i 0.333186 0.563111i
\(426\) 0.234163 + 1.02594i 0.0113453 + 0.0497068i
\(427\) −6.84629 + 1.03191i −0.331315 + 0.0499377i
\(428\) −3.29699 2.62926i −0.159366 0.127090i
\(429\) 0.102436 0.00494564
\(430\) 11.5688 + 11.1810i 0.557896 + 0.539196i
\(431\) 1.44982i 0.0698353i 0.999390 + 0.0349177i \(0.0111169\pi\)
−0.999390 + 0.0349177i \(0.988883\pi\)
\(432\) 0.966422 + 0.770696i 0.0464970 + 0.0370801i
\(433\) −7.62203 + 1.14884i −0.366292 + 0.0552096i −0.329609 0.944117i \(-0.606917\pi\)
−0.0366822 + 0.999327i \(0.511679\pi\)
\(434\) 6.75644 + 29.6019i 0.324320 + 1.42094i
\(435\) −0.0226827 0.0332694i −0.00108755 0.00159515i
\(436\) −10.5708 6.10304i −0.506249 0.292283i
\(437\) −10.9630 + 6.32950i −0.524432 + 0.302781i
\(438\) 0.0747570 + 0.0360011i 0.00357203 + 0.00172020i
\(439\) −8.28050 26.8447i −0.395207 1.28123i −0.906640 0.421906i \(-0.861361\pi\)
0.511433 0.859323i \(-0.329115\pi\)
\(440\) −0.300867 + 4.01479i −0.0143433 + 0.191398i
\(441\) 0.491313 2.15258i 0.0233959 0.102504i
\(442\) 4.17163 + 3.95450i 0.198424 + 0.188096i
\(443\) −2.94921 39.3545i −0.140121 1.86979i −0.417031 0.908892i \(-0.636929\pi\)
0.276910 0.960896i \(-0.410690\pi\)
\(444\) 0.476768 + 0.0718611i 0.0226264 + 0.00341038i
\(445\) 5.17387 + 5.57611i 0.245265 + 0.264333i
\(446\) 4.91052 2.36478i 0.232520 0.111976i
\(447\) −0.131937 + 0.193516i −0.00624041 + 0.00915300i
\(448\) 8.97027 + 3.52057i 0.423806 + 0.166331i
\(449\) 1.22930 3.98529i 0.0580142 0.188077i −0.921927 0.387363i \(-0.873386\pi\)
0.979941 + 0.199286i \(0.0638622\pi\)
\(450\) 13.4180 + 12.4501i 0.632530 + 0.586902i
\(451\) 8.20123 + 10.2840i 0.386181 + 0.484256i
\(452\) 13.3518 10.6477i 0.628018 0.500828i
\(453\) 0.534703 0.576272i 0.0251225 0.0270756i
\(454\) 9.16283 29.7052i 0.430033 1.39413i
\(455\) 0.998039 2.54296i 0.0467888 0.119216i
\(456\) 0.0337899 0.0495607i 0.00158236 0.00232089i
\(457\) −9.02826 + 4.34778i −0.422324 + 0.203381i −0.632961 0.774184i \(-0.718161\pi\)
0.210637 + 0.977564i \(0.432446\pi\)
\(458\) 1.03845 0.963539i 0.0485235 0.0450232i
\(459\) 0.304196 + 1.02494i 0.0141986 + 0.0478401i
\(460\) −1.28309 17.1217i −0.0598244 0.798302i
\(461\) −6.34112 16.1569i −0.295335 0.752502i −0.999114 0.0420831i \(-0.986601\pi\)
0.703779 0.710419i \(-0.251495\pi\)
\(462\) 0.693916 + 0.158382i 0.0322839 + 0.00736858i
\(463\) −1.81435 + 24.2108i −0.0843199 + 1.12517i 0.781195 + 0.624287i \(0.214611\pi\)
−0.865515 + 0.500884i \(0.833009\pi\)
\(464\) −0.995460 3.22720i −0.0462131 0.149819i
\(465\) −0.144251 + 0.299540i −0.00668948 + 0.0138908i
\(466\) 29.7928 17.2009i 1.38013 0.796817i
\(467\) 18.9486 32.8200i 0.876837 1.51873i 0.0220445 0.999757i \(-0.492982\pi\)
0.854793 0.518970i \(-0.173684\pi\)
\(468\) −2.74374 + 1.87065i −0.126830 + 0.0864709i
\(469\) −34.1287 + 7.78966i −1.57592 + 0.359693i
\(470\) 2.83357 + 18.7995i 0.130703 + 0.867156i
\(471\) 0.0731212 + 0.0583122i 0.00336925 + 0.00268688i
\(472\) 2.83934 0.130691
\(473\) 12.6346 + 16.5223i 0.580938 + 0.759695i
\(474\) −0.118946 −0.00546336
\(475\) 2.93151 3.67600i 0.134507 0.168667i
\(476\) 9.42775 + 14.1505i 0.432120 + 0.648588i
\(477\) 4.80557 + 21.0546i 0.220032 + 0.964022i
\(478\) −32.0223 + 21.8325i −1.46467 + 0.998593i
\(479\) 32.6089 + 18.8268i 1.48994 + 0.860217i 0.999934 0.0115015i \(-0.00366111\pi\)
0.490006 + 0.871719i \(0.336994\pi\)
\(480\) 0.197941 + 0.342843i 0.00903472 + 0.0156486i
\(481\) 2.43819 5.06296i 0.111172 0.230851i
\(482\) 2.84056 + 9.20886i 0.129384 + 0.419452i
\(483\) 1.05615 + 0.0791477i 0.0480566 + 0.00360135i
\(484\) −0.309838 + 1.35749i −0.0140835 + 0.0617040i
\(485\) −4.82866 12.3032i −0.219258 0.558661i
\(486\) −2.17036 + 0.162646i −0.0984497 + 0.00737778i
\(487\) 4.28606 28.4361i 0.194220 1.28856i −0.653015 0.757345i \(-0.726496\pi\)
0.847235 0.531219i \(-0.178266\pi\)
\(488\) −1.63458 1.76166i −0.0739942 0.0797468i
\(489\) 0.715491 0.344562i 0.0323556 0.0155816i
\(490\) 1.01785 1.49291i 0.0459818 0.0674428i
\(491\) −14.1150 + 35.9644i −0.637001 + 1.62305i 0.137517 + 0.990499i \(0.456088\pi\)
−0.774518 + 0.632552i \(0.782008\pi\)
\(492\) 0.253997 + 0.0783478i 0.0114511 + 0.00353219i
\(493\) 0.890774 2.78192i 0.0401184 0.125291i
\(494\) 1.24924 + 1.56649i 0.0562058 + 0.0704799i
\(495\) −7.79531 9.77501i −0.350373 0.439354i
\(496\) −18.9665 + 20.4411i −0.851623 + 0.917831i
\(497\) 34.6687 + 10.6939i 1.55510 + 0.479685i
\(498\) 0.978407 + 0.383997i 0.0438435 + 0.0172073i
\(499\) −3.55526 + 5.21461i −0.159155 + 0.233438i −0.897531 0.440952i \(-0.854641\pi\)
0.738375 + 0.674390i \(0.235593\pi\)
\(500\) 6.99579 + 14.5269i 0.312861 + 0.649663i
\(501\) 0.151515 0.140586i 0.00676920 0.00628090i
\(502\) −5.84095 0.880382i −0.260694 0.0392934i
\(503\) 30.2124 2.26411i 1.34710 0.100951i 0.618445 0.785828i \(-0.287763\pi\)
0.728659 + 0.684877i \(0.240144\pi\)
\(504\) 7.49441 2.94134i 0.333828 0.131018i
\(505\) −7.67468 1.75170i −0.341519 0.0779495i
\(506\) 3.89630 51.9925i 0.173212 2.31135i
\(507\) 0.158540 + 0.513974i 0.00704101 + 0.0228264i
\(508\) −19.3534 9.32011i −0.858669 0.413513i
\(509\) −11.3397 19.6409i −0.502623 0.870569i −0.999995 0.00303159i \(-0.999035\pi\)
0.497372 0.867537i \(-0.334298\pi\)
\(510\) −0.0373399 + 0.435729i −0.00165344 + 0.0192944i
\(511\) 2.36359 1.61147i 0.104559 0.0712872i
\(512\) 5.34034 + 23.3976i 0.236012 + 1.03404i
\(513\) 0.0555432 + 0.368505i 0.00245229 + 0.0162699i
\(514\) 27.1715 34.0719i 1.19848 1.50285i
\(515\) 13.0418i 0.574691i
\(516\) 0.399030 + 0.132038i 0.0175663 + 0.00581263i
\(517\) 24.5782i 1.08095i
\(518\) 24.3449 30.5275i 1.06965 1.34130i
\(519\) 0.221309 0.0333570i 0.00971441 0.00146421i
\(520\) 0.924436 0.210996i 0.0405392 0.00925281i
\(521\) −17.4440 25.5857i −0.764236 1.12093i −0.989202 0.146561i \(-0.953179\pi\)
0.224966 0.974367i \(-0.427773\pi\)
\(522\) 3.43283 + 1.98194i 0.150251 + 0.0867473i
\(523\) −4.45189 7.71091i −0.194668 0.337174i 0.752124 0.659022i \(-0.229030\pi\)
−0.946792 + 0.321847i \(0.895696\pi\)
\(524\) 14.0080 29.0878i 0.611941 1.27071i
\(525\) −0.375898 + 0.115949i −0.0164055 + 0.00506044i
\(526\) 0.804370 10.7336i 0.0350722 0.468006i
\(527\) −23.5695 + 5.11523i −1.02670 + 0.222823i
\(528\) 0.238811 + 0.608480i 0.0103929 + 0.0264807i
\(529\) −4.07898 54.4302i −0.177347 2.36653i
\(530\) −2.63405 + 17.4758i −0.114416 + 0.759099i
\(531\) −6.46364 + 5.99738i −0.280498 + 0.260264i
\(532\) 2.57160 + 5.33999i 0.111493 + 0.231518i
\(533\) 1.74514 2.55965i 0.0755904 0.110871i
\(534\) 0.434508 + 0.170532i 0.0188030 + 0.00737963i
\(535\) −3.57322 1.10219i −0.154484 0.0476520i
\(536\) −8.90713 8.26461i −0.384729 0.356977i
\(537\) 0.0884619 0.0705460i 0.00381741 0.00304429i
\(538\) −15.1217 + 12.0591i −0.651941 + 0.519906i
\(539\) 1.58882 1.71234i 0.0684353 0.0737557i
\(540\) −0.483001 0.148986i −0.0207851 0.00641134i
\(541\) 6.25668 + 2.45557i 0.268996 + 0.105573i 0.496005 0.868319i \(-0.334800\pi\)
−0.227010 + 0.973893i \(0.572895\pi\)
\(542\) 38.3623 + 26.1550i 1.64780 + 1.12345i
\(543\) −0.772788 + 0.372155i −0.0331635 + 0.0159707i
\(544\) −10.7772 + 26.6198i −0.462069 + 1.14132i
\(545\) −10.7026 1.61316i −0.458450 0.0691002i
\(546\) −0.0125272 0.167164i −0.000536116 0.00715397i
\(547\) −11.8985 + 4.66983i −0.508745 + 0.199668i −0.605808 0.795611i \(-0.707150\pi\)
0.0970636 + 0.995278i \(0.469055\pi\)
\(548\) 1.93614 8.48279i 0.0827079 0.362367i
\(549\) 7.44213 + 0.557710i 0.317622 + 0.0238025i
\(550\) 5.70797 + 18.5048i 0.243389 + 0.789047i
\(551\) 0.441778 0.917362i 0.0188204 0.0390809i
\(552\) 0.183810 + 0.318367i 0.00782345 + 0.0135506i
\(553\) −2.05043 + 3.55144i −0.0871930 + 0.151023i
\(554\) −0.0870884 0.127735i −0.00370003 0.00542695i
\(555\) 0.416820 0.0951365i 0.0176930 0.00403832i
\(556\) 1.01020 + 6.70225i 0.0428421 + 0.284239i
\(557\) 7.67967 9.63001i 0.325398 0.408036i −0.592044 0.805906i \(-0.701679\pi\)
0.917442 + 0.397869i \(0.130250\pi\)
\(558\) 32.7286i 1.38551i
\(559\) 2.84133 3.99046i 0.120175 0.168778i
\(560\) 17.4323 0.736648
\(561\) −0.131689 + 0.549818i −0.00555993 + 0.0232133i
\(562\) 9.41742 1.41945i 0.397250 0.0598758i
\(563\) 4.70340 + 20.6070i 0.198225 + 0.868480i 0.971993 + 0.235011i \(0.0755125\pi\)
−0.773768 + 0.633469i \(0.781630\pi\)
\(564\) 0.279783 + 0.410366i 0.0117810 + 0.0172795i
\(565\) 7.57164 13.1145i 0.318541 0.551729i
\(566\) 45.6645 26.3644i 1.91942 1.10818i
\(567\) −10.8411 + 22.5118i −0.455284 + 0.945408i
\(568\) 3.71184 + 12.0335i 0.155746 + 0.504915i
\(569\) 1.58939 21.2089i 0.0666307 0.889125i −0.859310 0.511455i \(-0.829107\pi\)
0.925941 0.377669i \(-0.123274\pi\)
\(570\) −0.0339209 + 0.148617i −0.00142079 + 0.00622490i
\(571\) 21.6531 8.49820i 0.906152 0.355639i 0.133930 0.990991i \(-0.457240\pi\)
0.772222 + 0.635352i \(0.219145\pi\)
\(572\) −3.50339 + 0.262543i −0.146484 + 0.0109775i
\(573\) −0.0176934 + 0.117388i −0.000739154 + 0.00490397i
\(574\) 15.7795 14.6412i 0.658623 0.611113i
\(575\) 12.5027 + 25.9620i 0.521397 + 1.08269i
\(576\) −8.58224 5.85127i −0.357593 0.243803i
\(577\) −4.63454 + 11.8086i −0.192938 + 0.491599i −0.994305 0.106575i \(-0.966012\pi\)
0.801366 + 0.598174i \(0.204107\pi\)
\(578\) −26.5886 + 17.3072i −1.10594 + 0.719884i
\(579\) 0.456657 + 0.423716i 0.0189780 + 0.0176090i
\(580\) 0.861039 + 1.07971i 0.0357527 + 0.0448325i
\(581\) 28.3313 22.5935i 1.17538 0.937336i
\(582\) −0.594529 0.551642i −0.0246440 0.0228663i
\(583\) −6.73445 + 21.8326i −0.278913 + 0.904213i
\(584\) 0.924300 + 0.362761i 0.0382478 + 0.0150112i
\(585\) −1.65876 + 2.43296i −0.0685814 + 0.100590i
\(586\) 25.2122 12.1416i 1.04151 0.501563i
\(587\) −8.19015 + 7.59934i −0.338043 + 0.313659i −0.830867 0.556471i \(-0.812155\pi\)
0.492824 + 0.870129i \(0.335965\pi\)
\(588\) 0.00703525 0.0466759i 0.000290129 0.00192488i
\(589\) −8.38341 + 0.628250i −0.345433 + 0.0258866i
\(590\) −6.71697 + 2.63622i −0.276533 + 0.108531i
\(591\) 0.0874952 0.383341i 0.00359907 0.0157686i
\(592\) 35.7588 + 2.67975i 1.46968 + 0.110137i
\(593\) −31.2116 + 9.62751i −1.28171 + 0.395355i −0.859496 0.511142i \(-0.829222\pi\)
−0.422212 + 0.906497i \(0.638746\pi\)
\(594\) −1.38290 0.665967i −0.0567409 0.0273250i
\(595\) 12.3662 + 8.62612i 0.506963 + 0.353636i
\(596\) 4.01639 6.95660i 0.164518 0.284953i
\(597\) −0.793942 + 0.541301i −0.0324939 + 0.0221540i
\(598\) −11.9717 + 2.73246i −0.489558 + 0.111738i
\(599\) 9.90541 1.49300i 0.404724 0.0610024i 0.0564742 0.998404i \(-0.482014\pi\)
0.348250 + 0.937402i \(0.386776\pi\)
\(600\) −0.106752 0.0851316i −0.00435812 0.00347548i
\(601\) 31.5419i 1.28662i −0.765606 0.643310i \(-0.777561\pi\)
0.765606 0.643310i \(-0.222439\pi\)
\(602\) 25.4175 22.6389i 1.03594 0.922691i
\(603\) 37.7336 1.53663
\(604\) −16.8104 + 21.0795i −0.684004 + 0.857713i
\(605\) 0.184020 + 1.22089i 0.00748146 + 0.0496363i
\(606\) −0.470945 + 0.107490i −0.0191309 + 0.00436649i
\(607\) −26.1855 38.4071i −1.06284 1.55890i −0.805520 0.592569i \(-0.798114\pi\)
−0.257317 0.966327i \(-0.582839\pi\)
\(608\) −5.00526 + 8.66937i −0.202990 + 0.351589i
\(609\) −0.0737743 + 0.0425936i −0.00298949 + 0.00172598i
\(610\) 5.50255 + 2.64989i 0.222792 + 0.107291i
\(611\) 5.53146 1.70623i 0.223779 0.0690266i
\(612\) −6.51333 17.1318i −0.263286 0.692511i
\(613\) 2.58393 11.3210i 0.104364 0.457249i −0.895560 0.444940i \(-0.853225\pi\)
0.999924 0.0123085i \(-0.00391801\pi\)
\(614\) −17.5632 44.7502i −0.708791 1.80597i
\(615\) 0.235039 0.0176138i 0.00947770 0.000710256i
\(616\) 8.42241 + 1.26947i 0.339349 + 0.0511486i
\(617\) −13.9363 15.0198i −0.561055 0.604674i 0.387273 0.921965i \(-0.373417\pi\)
−0.948328 + 0.317291i \(0.897227\pi\)
\(618\) −0.347234 0.721038i −0.0139678 0.0290044i
\(619\) −19.0778 + 27.9820i −0.766803 + 1.12469i 0.221939 + 0.975061i \(0.428762\pi\)
−0.988742 + 0.149633i \(0.952191\pi\)
\(620\) 4.16580 10.6143i 0.167302 0.426280i
\(621\) −2.18249 0.673209i −0.0875803 0.0270149i
\(622\) −25.2628 + 27.2268i −1.01295 + 1.09170i
\(623\) 12.5819 10.0337i 0.504081 0.401992i
\(624\) 0.120363 0.0959865i 0.00481839 0.00384254i
\(625\) −1.51020 1.40126i −0.0604080 0.0560505i
\(626\) −11.9599 + 38.7732i −0.478016 + 1.54969i
\(627\) −0.0719983 + 0.183449i −0.00287534 + 0.00732624i
\(628\) −2.65027 1.80692i −0.105757 0.0721041i
\(629\) 24.0407 + 19.5957i 0.958565 + 0.781333i
\(630\) −14.9985 + 13.9166i −0.597554 + 0.554449i
\(631\) 18.4169 + 2.77591i 0.733166 + 0.110507i 0.505005 0.863116i \(-0.331491\pi\)
0.228161 + 0.973623i \(0.426729\pi\)
\(632\) −1.41943 + 0.106371i −0.0564618 + 0.00423123i
\(633\) 0.166105 + 0.423230i 0.00660210 + 0.0168219i
\(634\) 32.6847 + 7.46008i 1.29808 + 0.296277i
\(635\) −18.9943 1.42343i −0.753766 0.0564869i
\(636\) 0.136087 + 0.441184i 0.00539621 + 0.0174941i
\(637\) −0.495667 0.238701i −0.0196390 0.00945767i
\(638\) 2.09681 + 3.63178i 0.0830134 + 0.143783i
\(639\) −33.8676 19.5534i −1.33978 0.773522i
\(640\) 5.52877 + 8.10922i 0.218544 + 0.320545i
\(641\) 42.5257 9.70622i 1.67966 0.383373i 0.726819 0.686829i \(-0.240998\pi\)
0.952845 + 0.303456i \(0.0981406\pi\)
\(642\) −0.226897 + 0.0341992i −0.00895491 + 0.00134973i
\(643\) −34.8103 27.7603i −1.37278 1.09476i −0.984914 0.173043i \(-0.944640\pi\)
−0.387868 0.921715i \(-0.626788\pi\)
\(644\) −36.3243 −1.43138
\(645\) 0.372147 0.0202810i 0.0146533 0.000798563i
\(646\) −10.0141 + 4.69136i −0.393999 + 0.184579i
\(647\) −1.29664 + 1.62593i −0.0509761 + 0.0639220i −0.806666 0.591008i \(-0.798730\pi\)
0.755690 + 0.654930i \(0.227302\pi\)
\(648\) −8.57587 + 1.29260i −0.336892 + 0.0507783i
\(649\) −9.09457 + 2.07578i −0.356993 + 0.0814813i
\(650\) 3.76835 2.56922i 0.147807 0.100773i
\(651\) 0.609132 + 0.351683i 0.0238738 + 0.0137835i
\(652\) −23.5874 + 13.6182i −0.923752 + 0.533329i
\(653\) 12.0182 24.9560i 0.470307 0.976602i −0.522017 0.852935i \(-0.674820\pi\)
0.992324 0.123667i \(-0.0394655\pi\)
\(654\) −0.634661 + 0.195767i −0.0248172 + 0.00765510i
\(655\) 2.13938 28.5481i 0.0835926 1.11547i
\(656\) 19.2731 + 4.39897i 0.752490 + 0.171751i
\(657\) −2.87037 + 1.12654i −0.111984 + 0.0439504i
\(658\) 40.1091 3.00576i 1.56362 0.117177i
\(659\) −17.5828 2.65018i −0.684929 0.103236i −0.202646 0.979252i \(-0.564954\pi\)
−0.482283 + 0.876016i \(0.660192\pi\)
\(660\) −0.181805 0.195939i −0.00707675 0.00762692i
\(661\) −41.2875 + 19.8830i −1.60590 + 0.773360i −0.999758 0.0219967i \(-0.992998\pi\)
−0.606141 + 0.795357i \(0.707283\pi\)
\(662\) 3.79279 + 2.58588i 0.147411 + 0.100503i
\(663\) 0.132881 0.00853116i 0.00516068 0.000331323i
\(664\) 12.0191 + 3.70741i 0.466433 + 0.143875i
\(665\) 3.85263 + 3.57471i 0.149398 + 0.138621i
\(666\) −32.9057 + 26.2414i −1.27507 + 1.01683i
\(667\) 3.89069 + 4.87877i 0.150648 + 0.188907i
\(668\) −4.82164 + 5.19650i −0.186555 + 0.201059i
\(669\) 0.0372145 0.120647i 0.00143880 0.00466446i
\(670\) 28.7448 + 11.2815i 1.11051 + 0.435843i
\(671\) 6.52358 + 4.44770i 0.251840 + 0.171702i
\(672\) 0.754589 0.363391i 0.0291089 0.0140181i
\(673\) −2.79363 3.01082i −0.107687 0.116058i 0.676908 0.736067i \(-0.263319\pi\)
−0.784595 + 0.620009i \(0.787129\pi\)
\(674\) 9.07116 60.1832i 0.349408 2.31817i
\(675\) 0.845932 0.0633939i 0.0325600 0.00244003i
\(676\) −6.73954 17.1721i −0.259213 0.660464i
\(677\) 18.6454 + 4.25569i 0.716600 + 0.163559i 0.565249 0.824921i \(-0.308780\pi\)
0.151352 + 0.988480i \(0.451637\pi\)
\(678\) 0.0694425 0.926646i 0.00266692 0.0355876i
\(679\) −26.7194 + 8.24185i −1.02540 + 0.316293i
\(680\) −0.0559257 + 5.23312i −0.00214465 + 0.200681i
\(681\) −0.360057 0.623638i −0.0137974 0.0238979i
\(682\) 17.3127 29.9865i 0.662938 1.14824i
\(683\) −3.94537 5.78680i −0.150965 0.221426i 0.743305 0.668953i \(-0.233257\pi\)
−0.894270 + 0.447527i \(0.852305\pi\)
\(684\) −1.42161 6.22850i −0.0543568 0.238153i
\(685\) −1.14992 7.62921i −0.0439361 0.291497i
\(686\) 25.4191 + 20.2711i 0.970508 + 0.773954i
\(687\) 0.0328159i 0.00125200i
\(688\) 30.3279 + 7.57479i 1.15624 + 0.288786i
\(689\) 5.38104 0.205001
\(690\) −0.730427 0.582496i −0.0278069 0.0221752i
\(691\) 2.30530 + 15.2946i 0.0876976 + 0.581836i 0.988917 + 0.148472i \(0.0474354\pi\)
−0.901219 + 0.433364i \(0.857326\pi\)
\(692\) −7.48350 + 1.70806i −0.284480 + 0.0649307i
\(693\) −21.8547 + 14.9003i −0.830191 + 0.566015i
\(694\) 3.62585 + 2.09339i 0.137636 + 0.0794639i
\(695\) 3.00511 + 5.20500i 0.113990 + 0.197437i
\(696\) −0.0266403 0.0128293i −0.00100980 0.000486293i
\(697\) 11.4953 + 12.6576i 0.435415 + 0.479441i
\(698\) 3.88757 51.8761i 0.147147 1.96354i
\(699\) 0.177331 0.776940i 0.00670729 0.0293866i
\(700\) 12.5589 4.92900i 0.474682 0.186299i
\(701\) −0.934770 12.4736i −0.0353058 0.471123i −0.986635 0.162946i \(-0.947900\pi\)
0.951329 0.308177i \(-0.0997187\pi\)
\(702\) −0.0538783 + 0.357459i −0.00203351 + 0.0134914i
\(703\) 7.35338 + 7.92506i 0.277338 + 0.298899i
\(704\) −4.76799 9.90084i −0.179701 0.373152i
\(705\) 0.363884 + 0.248092i 0.0137047 + 0.00934368i
\(706\) −6.85719 + 17.4718i −0.258074 + 0.657561i
\(707\) −4.90890 + 15.9143i −0.184618 + 0.598518i
\(708\) −0.128217 + 0.138185i −0.00481867 + 0.00519329i
\(709\) −12.5165 + 9.98155i −0.470066 + 0.374865i −0.829683 0.558235i \(-0.811479\pi\)
0.359617 + 0.933100i \(0.382907\pi\)
\(710\) −19.9537 25.0211i −0.748849 0.939027i
\(711\) 3.00658 3.24033i 0.112756 0.121522i
\(712\) 5.33766 + 1.64645i 0.200037 + 0.0617033i
\(713\) 18.8236 47.9617i 0.704948 1.79618i
\(714\) 0.913351 + 0.147664i 0.0341813 + 0.00552619i
\(715\) −2.80677 + 1.35167i −0.104967 + 0.0505495i
\(716\) −2.84467 + 2.63947i −0.106310 + 0.0986416i
\(717\) −0.133811 + 0.887775i −0.00499725 + 0.0331546i
\(718\) −4.33947 57.9062i −0.161948 2.16104i
\(719\) −21.1942 + 8.31811i −0.790411 + 0.310213i −0.725986 0.687709i \(-0.758616\pi\)
−0.0644244 + 0.997923i \(0.520521\pi\)
\(720\) −18.3192 4.18124i −0.682716 0.155826i
\(721\) −27.5142 2.06191i −1.02468 0.0767894i
\(722\) 30.1989 9.31513i 1.12389 0.346673i
\(723\) 0.201134 + 0.0968610i 0.00748025 + 0.00360230i
\(724\) 25.4763 14.7087i 0.946818 0.546646i
\(725\) −2.00720 1.15886i −0.0745457 0.0430390i
\(726\) 0.0426796 + 0.0625995i 0.00158399 + 0.00232328i
\(727\) 7.53821 + 33.0270i 0.279577 + 1.22491i 0.898331 + 0.439320i \(0.144781\pi\)
−0.618754 + 0.785585i \(0.712362\pi\)
\(728\) −0.298985 1.98363i −0.0110811 0.0735184i
\(729\) 16.7713 21.0306i 0.621161 0.778911i
\(730\) −2.52341 −0.0933956
\(731\) 17.7658 + 20.3808i 0.657093 + 0.753810i
\(732\) 0.159550 0.00589712
\(733\) 23.7646 29.7999i 0.877766 1.10068i −0.116441 0.993198i \(-0.537149\pi\)
0.994207 0.107486i \(-0.0342800\pi\)
\(734\) 3.08749 + 20.4841i 0.113961 + 0.756083i
\(735\) −0.00931392 0.0408070i −0.000343549 0.00150519i
\(736\) −34.5604 50.6908i −1.27391 1.86849i
\(737\) 34.5721 + 19.9602i 1.27348 + 0.735244i
\(738\) −20.0941 + 11.6013i −0.739675 + 0.427052i
\(739\) 1.45800 + 0.702137i 0.0536335 + 0.0258285i 0.460508 0.887655i \(-0.347667\pi\)
−0.406875 + 0.913484i \(0.633381\pi\)
\(740\) −14.0118 + 4.32207i −0.515084 + 0.158883i
\(741\) 0.0462842 + 0.00346852i 0.00170029 + 0.000127419i
\(742\) 36.4521 + 8.31994i 1.33820 + 0.305435i
\(743\) 8.10213 3.17985i 0.297238 0.116657i −0.212036 0.977262i \(-0.568009\pi\)
0.509274 + 0.860604i \(0.329914\pi\)
\(744\) 0.0182445 + 0.243456i 0.000668875 + 0.00892552i
\(745\) 1.06162 7.04336i 0.0388946 0.258049i
\(746\) 38.2586 35.4988i 1.40075 1.29970i
\(747\) −35.1920 + 16.9476i −1.28761 + 0.620079i
\(748\) 3.09472 19.1418i 0.113154 0.699895i
\(749\) −2.89021 + 7.36415i −0.105606 + 0.269080i
\(750\) 0.838356 + 0.258599i 0.0306124 + 0.00944269i
\(751\) 14.7342 15.8797i 0.537657 0.579457i −0.404538 0.914521i \(-0.632568\pi\)
0.942195