Properties

Label 731.2.z.a.67.13
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 67.13
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.13

$q$-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} +(2.09959 + 3.54848i) 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} +(-7.62038 - 1.06543i) 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} +(0.138161 - 0.112616i) 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} +(4.43660 - 4.20568i) 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 0.986894 0.161371i \(-0.0515915\pi\)
−0.990614 + 0.136690i \(0.956353\pi\)
\(4\) −0.329925 1.44549i −0.164962 0.722747i
\(5\) 0.740612 + 1.08628i 0.331212 + 0.485798i 0.955334 0.295528i \(-0.0954957\pi\)
−0.624122 + 0.781327i \(0.714543\pi\)
\(6\) 0.0698677 + 0.0403381i 0.0285233 + 0.0164680i
\(7\) 2.40880 1.39072i 0.910442 0.525644i 0.0298685 0.999554i \(-0.490491\pi\)
0.880573 + 0.473910i \(0.157158\pi\)
\(8\) −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 −0.270760 0.962647i \(-0.587275\pi\)
−0.661623 + 0.749837i \(0.730132\pi\)
\(12\) −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
\(17\) 2.09959 + 3.54848i 0.509226 + 0.860633i
\(18\) −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 \(-0.391460\pi\)
0.914798 0.403913i \(-0.132350\pi\)
\(24\) −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 −0.996493 0.0836754i \(-0.973334\pi\)
0.976885 + 0.213764i \(0.0685722\pi\)
\(30\) 0.00792641 + 0.105771i 0.00144716 + 0.0193110i
\(31\) 5.44517 2.13707i 0.977982 0.383829i 0.178117 0.984009i \(-0.443000\pi\)
0.799865 + 0.600180i \(0.204904\pi\)
\(32\) −1.54993 + 6.79067i −0.273991 + 1.20043i
\(33\) −0.0102471 + 0.136739i −0.00178380 + 0.0238032i
\(34\) −7.62038 1.06543i −1.30688 0.182720i
\(35\) 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 −0.142531 0.989790i \(-0.545524\pi\)
−0.928449 + 0.371460i \(0.878857\pi\)
\(38\) −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 0.336718 0.941606i \(-0.390683\pi\)
−0.843071 + 0.537803i \(0.819255\pi\)
\(42\) 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
\(51\) 0.138161 0.112616i 0.0193464 0.0157694i
\(52\) −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 0.212332 0.977198i \(-0.431894\pi\)
−0.509012 + 0.860759i \(0.669989\pi\)
\(62\) −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 \(0.316095\pi\)
\(68\) 4.43660 4.20568i 0.538017 0.510014i
\(69\) −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 \(0.0436540\pi\)
0.0623029 + 0.998057i \(0.480156\pi\)
\(72\) −2.86219 0.431406i −0.337312 0.0508416i
\(73\) 1.02561 0.0768585i 0.120038 0.00899561i −0.0145756 0.999894i \(-0.504640\pi\)
0.134614 + 0.990898i \(0.457021\pi\)
\(74\) 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 −0.570105 0.821572i \(-0.693097\pi\)
0.426450 + 0.904511i \(0.359764\pi\)
\(80\) 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 −0.306205 0.951965i \(-0.599059\pi\)
−0.688924 + 0.724834i \(0.741917\pi\)
\(98\) 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 \(0.165621\pi\)
\(102\) 0.00355464 + 0.332618i 0.000351962 + 0.0329340i
\(103\) 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 −0.725056 0.688690i \(-0.758186\pi\)
0.510083 + 0.860125i \(0.329615\pi\)
\(108\) −0.300582 + 0.239706i −0.0289235 + 0.0230657i
\(109\) −5.59953 + 6.03486i −0.536338 + 0.578035i −0.941841 0.336059i \(-0.890906\pi\)
0.405503 + 0.914094i \(0.367096\pi\)
\(110\) 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 \(-0.960611\pi\)
0.522223 0.852809i \(-0.325103\pi\)
\(114\) 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
\(119\) 9.99246 + 5.62764i 0.916007 + 0.515885i
\(120\) −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 \(-0.885520\pi\)
−0.551405 0.834238i \(-0.685908\pi\)
\(132\) 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
\(136\) −0.339874 3.96608i −0.0291439 0.340088i
\(137\) 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 0.266643 0.963795i \(-0.414085\pi\)
0.120019 + 0.992772i \(0.461705\pi\)
\(140\) 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
\(153\) 9.15104 + 8.31072i 0.739817 + 0.671882i
\(154\) 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 \(0.160353\pi\)
−0.451668 + 0.892186i \(0.649171\pi\)
\(164\) −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 0.916186 0.400753i \(-0.131252\pi\)
−0.707771 + 0.706442i \(0.750299\pi\)
\(168\) 0.0258319 + 0.113177i 0.00199298 + 0.00873180i
\(169\) 12.3030 1.85437i 0.946382 0.142644i
\(170\) −4.48639 9.06692i −0.344090 0.695401i
\(171\) 4.30891 0.329510
\(172\) 4.39587 8.67199i 0.335182 0.661233i
\(173\) 5.17712i 0.393609i 0.980443 + 0.196805i \(0.0630565\pi\)
−0.980443 + 0.196805i \(0.936944\pi\)
\(174\) −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 \(-0.831300\pi\)
0.428121 0.903722i \(-0.359176\pi\)
\(182\) 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
\(187\) −3.98814 12.4551i −0.291642 0.910808i
\(188\) 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 −0.938564 0.345105i \(-0.887843\pi\)
0.127603 + 0.991825i \(0.459272\pi\)
\(194\) 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 0.647246 0.762281i \(-0.275921\pi\)
−0.0440181 + 0.999031i \(0.514016\pi\)
\(198\) 9.99724 14.6633i 0.710473 1.04207i
\(199\) −9.64422 20.0264i −0.683661 1.41964i −0.896721 0.442597i \(-0.854057\pi\)
0.213060 0.977039i \(-0.431657\pi\)
\(200\) −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
\(204\) −0.208368 0.162556i −0.0145887 0.0113812i
\(205\) 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 −0.560365 0.828246i \(-0.689339\pi\)
−0.145509 + 0.989357i \(0.546482\pi\)
\(212\) 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
\(221\) 2.52623 1.76219i 0.169932 0.118538i
\(222\) −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 0.210145 0.977670i \(-0.432606\pi\)
0.819032 + 0.573748i \(0.194511\pi\)
\(228\) −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 0.853310 0.521404i \(-0.174591\pi\)
0.270876 + 0.962614i \(0.412687\pi\)
\(234\) 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
\(238\) −19.8377 + 8.03142i −1.28589 + 0.520600i
\(239\) 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 −0.908423 0.418053i \(-0.862713\pi\)
0.721039 + 0.692895i \(0.243665\pi\)
\(242\) 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
\(255\) 0.224656 + 0.0666765i 0.0140685 + 0.00417544i
\(256\) 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 −0.0969106 0.995293i \(-0.530896\pi\)
−0.519155 + 0.854680i \(0.673753\pi\)
\(270\) 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 \(-0.296495\pi\)
\(272\) 16.3571 + 10.8979i 0.991795 + 0.660780i
\(273\) −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 −0.954836 0.297132i \(-0.903970\pi\)
0.956303 + 0.292376i \(0.0944459\pi\)
\(278\) −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 0.980085 0.198578i \(-0.0636322\pi\)
0.583386 + 0.812195i \(0.301727\pi\)
\(284\) 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
\(289\) −8.18342 + 14.9007i −0.481378 + 0.876513i
\(290\) 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
\(306\) −22.7734 + 3.68185i −1.30187 + 0.210477i
\(307\) −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 −0.501008 0.865443i \(-0.667037\pi\)
−0.624399 + 0.781105i \(0.714656\pi\)
\(312\) 0.0303970 + 0.00693792i 0.00172089 + 0.000392782i
\(313\) −20.2396 + 7.94347i −1.14401 + 0.448991i −0.860234 0.509899i \(-0.829683\pi\)
−0.283777 + 0.958890i \(0.591588\pi\)
\(314\) 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 \(0.0254641\pi\)
−0.559018 + 0.829156i \(0.688822\pi\)
\(318\) −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
\(323\) 1.38026 + 5.76272i 0.0767995 + 0.320647i
\(324\) −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 \(-0.318564\pi\)
0.998924 0.0463831i \(-0.0147695\pi\)
\(338\) −11.6095 + 20.1083i −0.631474 + 1.09375i
\(339\) −0.411414 + 0.280498i −0.0223450 + 0.0152345i
\(340\) 7.85433 + 1.70460i 0.425961 + 0.0924451i
\(341\) −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 0.996011 0.0892260i \(-0.0284393\pi\)
−0.978061 + 0.208318i \(0.933201\pi\)
\(348\) −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
\(357\) 0.176185 0.463413i 0.00932469 0.0245264i
\(358\) 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 −0.898671 0.438623i \(-0.855466\pi\)
0.504554 + 0.863380i \(0.331657\pi\)
\(368\) 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 \(0.805329\pi\)
\(374\) 22.8130 + 8.67326i 1.17963 + 0.448484i
\(375\) −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 −0.829137 0.559046i \(-0.811168\pi\)
0.954038 + 0.299686i \(0.0968818\pi\)
\(380\) 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
\(391\) 35.4906 + 7.70242i 1.79484 + 0.389528i
\(392\) −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 −0.521551 0.853220i \(-0.674646\pi\)
−0.642891 + 0.765957i \(0.722265\pi\)
\(398\) 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 \(-0.611594\pi\)
0.605014 0.796215i \(-0.293168\pi\)
\(402\) 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
\(408\) −0.167350 + 0.0400829i −0.00828508 + 0.00198440i
\(409\) 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 0.0516168 0.998667i \(-0.483563\pi\)
−0.386800 + 0.922164i \(0.626420\pi\)
\(420\) −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
\(425\) 13.3158 2.15281i 0.645912 0.104427i
\(426\) 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 \(-0.988883\pi\)
0.999390 0.0349177i \(-0.0111169\pi\)
\(432\) −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 \(0.138639\pi\)
−0.511433 + 0.859323i \(0.670885\pi\)
\(440\) −0.300867 + 4.01479i −0.0143433 + 0.191398i
\(441\) 0.491313 2.15258i 0.0233959 0.102504i
\(442\) −0.368277 + 5.73628i −0.0175172 + 0.272847i
\(443\) −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 −0.979941 0.199286i \(-0.936138\pi\)
0.921927 + 0.387363i \(0.126614\pi\)
\(450\) 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
\(459\) 0.592787 0.889741i 0.0276689 0.0415295i
\(460\) −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
\(476\) 4.83796 16.3007i 0.221747 0.747143i
\(477\) 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 −0.490006 0.871719i \(-0.663006\pi\)
−0.999934 + 0.0115015i \(0.996339\pi\)
\(480\) 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 \(0.273504\pi\)
−0.847235 + 0.531219i \(0.821734\pi\)
\(488\) 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
\(493\) −2.70757 + 1.09618i −0.121943 + 0.0493693i
\(494\) 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 −0.738375 0.674390i \(-0.764407\pi\)
0.897531 + 0.440952i \(0.145359\pi\)
\(500\) −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 −0.728659 0.684877i \(-0.759856\pi\)
−0.618445 + 0.785828i \(0.712237\pi\)
\(504\) −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 \(-0.334298\pi\)
\(510\) −0.358682 + 0.250202i −0.0158827 + 0.0110791i
\(511\) 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 \(0.0468205\pi\)
−0.224966 + 0.974367i \(0.572227\pi\)
\(522\) −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
\(527\) 19.0160 + 14.8351i 0.828350 + 0.646227i
\(528\) 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 0.227010 0.973893i \(-0.427105\pi\)
−0.496005 + 0.868319i \(0.665200\pi\)
\(542\) 38.3623 + 26.1550i 1.64780 + 1.12345i
\(543\) −0.772788 + 0.372155i −0.0331635 + 0.0159707i
\(544\) −27.3508 + 8.75776i −1.17266 + 0.375486i
\(545\) −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 −0.0970636 0.995278i \(-0.530945\pi\)
0.605808 + 0.795611i \(0.292850\pi\)
\(548\) 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
\(561\) −0.506729 + 0.250734i −0.0213941 + 0.0105860i
\(562\) 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 −0.772222 0.635352i \(-0.780855\pi\)
−0.133930 + 0.990991i \(0.542760\pi\)
\(572\) 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 \(0.204107\pi\)
\(578\) −12.2190 29.2777i −0.508244 1.21779i
\(579\) 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
\(595\) 1.28735 + 15.0225i 0.0527763 + 0.615861i
\(596\) 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 \(0.222439\pi\)
−0.765606 + 0.643310i \(0.777561\pi\)
\(602\) −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 \(0.201886\pi\)
0.257317 + 0.966327i \(0.417161\pi\)
\(608\) −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
\(612\) 8.99394 15.9697i 0.363558 0.645536i
\(613\) 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 0.948328 0.317291i \(-0.102773\pi\)
−0.387273 + 0.921965i \(0.626583\pi\)
\(618\) 0.347234 + 0.721038i 0.0139678 + 0.0290044i
\(619\) 19.0778 27.9820i 0.766803 1.12469i −0.221939 0.975061i \(-0.571238\pi\)
0.988742 0.149633i \(-0.0478091\pi\)
\(620\) 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
\(629\) −0.331438 31.0135i −0.0132153 1.23659i
\(630\) −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 −0.952845 0.303456i \(-0.901859\pi\)
−0.726819 + 0.686829i \(0.759002\pi\)
\(642\) −0.226897 + 0.0341992i −0.00895491 + 0.00134973i
\(643\) 34.8103 + 27.7603i 1.37278 + 1.09476i 0.984914 + 0.173043i \(0.0553599\pi\)
0.387868 + 0.921715i \(0.373212\pi\)
\(644\) −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 \(0.325180\pi\)
−0.992324 + 0.123667i \(0.960535\pi\)
\(654\) −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
\(663\) −0.0916063 0.0966361i −0.00355769 0.00375303i
\(664\) 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 0.784595 0.620009i \(-0.212871\pi\)
−0.676908 + 0.736067i \(0.736681\pi\)
\(674\) −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 −0.151352 0.988480i \(-0.548363\pi\)
−0.565249 + 0.824921i \(0.691220\pi\)
\(678\) 0.0694425 0.926646i 0.00266692 0.0355876i
\(679\) −26.7194 + 8.24185i −1.02540 + 0.316293i
\(680\) 4.05655 3.30652i 0.155562 0.126799i
\(681\) −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 0.894270 0.447527i \(-0.147695\pi\)
−0.743305 + 0.668953i \(0.766743\pi\)
\(684\) −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 \(-0.952565\pi\)
0.901219 0.433364i \(-0.142674\pi\)
\(692\) 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
\(697\) 2.36757 16.9337i 0.0896780 0.641411i
\(698\) 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 −0.359617 0.933100i \(-0.617093\pi\)
0.829683 + 0.558235i \(0.188521\pi\)
\(710\) −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
\(714\) 0.471141 + 0.796266i 0.0176320 + 0.0297995i
\(715\) −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 0.0644244 0.997923i \(-0.479479\pi\)
0.725986 + 0.687709i \(0.241384\pi\)
\(720\) 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
\(731\) −4.28799 + 26.6948i −0.158597 + 0.987343i
\(732\) 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 −0.509274 0.860604i \(-0.670086\pi\)
0.212036 + 0.977262i \(0.431991\pi\)
\(744\) 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
\(748\) −16.6880 + 9.87409i −0.610174 + 0.361032i
\(749\) −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 −0.942195 0.335064i<