Properties

Label 731.2.p.a.16.3
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.3
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.594326 - 2.60391i) q^{2} +(-2.90090 - 0.662112i) q^{3} +(-4.62520 + 2.22738i) q^{4} +(-1.09262 + 0.871338i) q^{5} +7.94720i q^{6} -2.92823i q^{7} +(5.21824 + 6.54347i) q^{8} +(5.27392 + 2.53979i) q^{9} +O(q^{10})\) \(q+(-0.594326 - 2.60391i) q^{2} +(-2.90090 - 0.662112i) q^{3} +(-4.62520 + 2.22738i) q^{4} +(-1.09262 + 0.871338i) q^{5} +7.94720i q^{6} -2.92823i q^{7} +(5.21824 + 6.54347i) q^{8} +(5.27392 + 2.53979i) q^{9} +(2.91826 + 2.32724i) q^{10} +(2.10177 - 4.36437i) q^{11} +(14.8920 - 3.39900i) q^{12} +(3.19001 + 4.00014i) q^{13} +(-7.62484 + 1.74032i) q^{14} +(3.74651 - 1.80423i) q^{15} +(7.53581 - 9.44960i) q^{16} +(4.12246 + 0.0729413i) q^{17} +(3.47895 - 15.2423i) q^{18} +(0.341983 - 0.164690i) q^{19} +(3.11280 - 6.46379i) q^{20} +(-1.93881 + 8.49449i) q^{21} +(-12.6136 - 2.87897i) q^{22} +(-2.67410 + 5.55284i) q^{23} +(-10.8051 - 22.4370i) q^{24} +(-0.678009 + 2.97055i) q^{25} +(8.52012 - 10.6839i) q^{26} +(-6.63848 - 5.29401i) q^{27} +(6.52226 + 13.5436i) q^{28} +(-1.64734 + 0.375994i) q^{29} +(-6.92470 - 8.68329i) q^{30} +(6.07677 - 1.38698i) q^{31} +(-14.0035 - 6.74374i) q^{32} +(-8.98673 + 11.2690i) q^{33} +(-2.26015 - 10.7779i) q^{34} +(2.55147 + 3.19945i) q^{35} -30.0500 q^{36} +2.44803i q^{37} +(-0.632088 - 0.792613i) q^{38} +(-6.60535 - 13.7162i) q^{39} +(-11.4031 - 2.60269i) q^{40} +(-0.131657 + 0.0300498i) q^{41} +23.2712 q^{42} +(2.45227 - 6.08164i) q^{43} +24.8675i q^{44} +(-7.97543 + 1.82034i) q^{45} +(16.0484 + 3.66294i) q^{46} +(-7.04152 + 3.39102i) q^{47} +(-28.1173 + 22.4228i) q^{48} -1.57451 q^{49} +8.13801 q^{50} +(-11.9106 - 2.94112i) q^{51} +(-23.6642 - 11.3961i) q^{52} +(6.70095 - 8.40273i) q^{53} +(-9.83972 + 20.4324i) q^{54} +(1.50640 + 6.59997i) q^{55} +(19.1608 - 15.2802i) q^{56} +(-1.10110 + 0.251319i) q^{57} +(1.95811 + 4.06606i) q^{58} +(9.15809 - 11.4839i) q^{59} +(-13.3097 + 16.6898i) q^{60} +(9.83701 + 2.24523i) q^{61} +(-7.22317 - 14.9991i) q^{62} +(7.43707 - 15.4432i) q^{63} +(-3.85845 + 16.9050i) q^{64} +(-6.97095 - 1.59107i) q^{65} +(34.6845 + 16.7032i) q^{66} +(-7.30824 + 3.51946i) q^{67} +(-19.2297 + 8.84491i) q^{68} +(11.4339 - 14.3377i) q^{69} +(6.81467 - 8.54533i) q^{70} +(-1.50380 - 3.12267i) q^{71} +(10.9016 + 47.7630i) q^{72} +(0.644586 - 0.514040i) q^{73} +(6.37446 - 1.45493i) q^{74} +(3.93367 - 8.16835i) q^{75} +(-1.21491 + 1.52345i) q^{76} +(-12.7799 - 6.15446i) q^{77} +(-31.7899 + 25.3516i) q^{78} +7.39600i q^{79} +16.8911i q^{80} +(4.80333 + 6.02319i) q^{81} +(0.156494 + 0.324964i) q^{82} +(-1.12585 + 4.93268i) q^{83} +(-9.95305 - 43.6072i) q^{84} +(-4.56785 + 3.51236i) q^{85} +(-17.2935 - 2.77100i) q^{86} +5.02771 q^{87} +(39.5257 - 9.02148i) q^{88} +(0.0415505 - 0.182045i) q^{89} +(9.48000 + 19.6854i) q^{90} +(11.7133 - 9.34106i) q^{91} -31.6392i q^{92} -18.5465 q^{93} +(13.0149 + 16.3201i) q^{94} +(-0.230157 + 0.477927i) q^{95} +(36.1577 + 28.8348i) q^{96} +(-3.93850 + 8.17838i) q^{97} +(0.935770 + 4.09987i) q^{98} +(22.1692 - 17.6793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.594326 2.60391i −0.420252 1.84124i −0.530968 0.847392i \(-0.678172\pi\)
0.110716 0.993852i \(-0.464686\pi\)
\(3\) −2.90090 0.662112i −1.67484 0.382270i −0.723475 0.690350i \(-0.757456\pi\)
−0.951360 + 0.308080i \(0.900313\pi\)
\(4\) −4.62520 + 2.22738i −2.31260 + 1.11369i
\(5\) −1.09262 + 0.871338i −0.488636 + 0.389674i −0.836583 0.547840i \(-0.815450\pi\)
0.347947 + 0.937514i \(0.386879\pi\)
\(6\) 7.94720i 3.24443i
\(7\) 2.92823i 1.10677i −0.832927 0.553383i \(-0.813337\pi\)
0.832927 0.553383i \(-0.186663\pi\)
\(8\) 5.21824 + 6.54347i 1.84493 + 2.31347i
\(9\) 5.27392 + 2.53979i 1.75797 + 0.846596i
\(10\) 2.91826 + 2.32724i 0.922835 + 0.735937i
\(11\) 2.10177 4.36437i 0.633708 1.31591i −0.298647 0.954364i \(-0.596535\pi\)
0.932355 0.361544i \(-0.117750\pi\)
\(12\) 14.8920 3.39900i 4.29895 0.981208i
\(13\) 3.19001 + 4.00014i 0.884749 + 1.10944i 0.993325 + 0.115352i \(0.0367996\pi\)
−0.108576 + 0.994088i \(0.534629\pi\)
\(14\) −7.62484 + 1.74032i −2.03782 + 0.465120i
\(15\) 3.74651 1.80423i 0.967346 0.465849i
\(16\) 7.53581 9.44960i 1.88395 2.36240i
\(17\) 4.12246 + 0.0729413i 0.999844 + 0.0176909i
\(18\) 3.47895 15.2423i 0.819997 3.59264i
\(19\) 0.341983 0.164690i 0.0784562 0.0377825i −0.394244 0.919006i \(-0.628994\pi\)
0.472700 + 0.881223i \(0.343279\pi\)
\(20\) 3.11280 6.46379i 0.696043 1.44535i
\(21\) −1.93881 + 8.49449i −0.423083 + 1.85365i
\(22\) −12.6136 2.87897i −2.68922 0.613798i
\(23\) −2.67410 + 5.55284i −0.557589 + 1.15785i 0.411562 + 0.911382i \(0.364983\pi\)
−0.969152 + 0.246465i \(0.920731\pi\)
\(24\) −10.8051 22.4370i −2.20558 4.57993i
\(25\) −0.678009 + 2.97055i −0.135602 + 0.594110i
\(26\) 8.52012 10.6839i 1.67093 2.09528i
\(27\) −6.63848 5.29401i −1.27758 1.01883i
\(28\) 6.52226 + 13.5436i 1.23259 + 2.55950i
\(29\) −1.64734 + 0.375994i −0.305903 + 0.0698203i −0.372717 0.927945i \(-0.621574\pi\)
0.0668141 + 0.997765i \(0.478717\pi\)
\(30\) −6.92470 8.68329i −1.26427 1.58535i
\(31\) 6.07677 1.38698i 1.09142 0.249110i 0.361315 0.932444i \(-0.382328\pi\)
0.730106 + 0.683334i \(0.239471\pi\)
\(32\) −14.0035 6.74374i −2.47549 1.19214i
\(33\) −8.98673 + 11.2690i −1.56439 + 1.96168i
\(34\) −2.26015 10.7779i −0.387613 1.84839i
\(35\) 2.55147 + 3.19945i 0.431278 + 0.540805i
\(36\) −30.0500 −5.00833
\(37\) 2.44803i 0.402454i 0.979545 + 0.201227i \(0.0644929\pi\)
−0.979545 + 0.201227i \(0.935507\pi\)
\(38\) −0.632088 0.792613i −0.102538 0.128579i
\(39\) −6.60535 13.7162i −1.05770 2.19634i
\(40\) −11.4031 2.60269i −1.80300 0.411522i
\(41\) −0.131657 + 0.0300498i −0.0205614 + 0.00469300i −0.232789 0.972527i \(-0.574785\pi\)
0.212228 + 0.977220i \(0.431928\pi\)
\(42\) 23.2712 3.59082
\(43\) 2.45227 6.08164i 0.373967 0.927442i
\(44\) 24.8675i 3.74892i
\(45\) −7.97543 + 1.82034i −1.18891 + 0.271360i
\(46\) 16.0484 + 3.66294i 2.36621 + 0.540071i
\(47\) −7.04152 + 3.39102i −1.02711 + 0.494631i −0.870053 0.492958i \(-0.835915\pi\)
−0.157059 + 0.987589i \(0.550201\pi\)
\(48\) −28.1173 + 22.4228i −4.05839 + 3.23645i
\(49\) −1.57451 −0.224929
\(50\) 8.13801 1.15089
\(51\) −11.9106 2.94112i −1.66781 0.411840i
\(52\) −23.6642 11.3961i −3.28164 1.58035i
\(53\) 6.70095 8.40273i 0.920447 1.15420i −0.0672364 0.997737i \(-0.521418\pi\)
0.987683 0.156467i \(-0.0500104\pi\)
\(54\) −9.83972 + 20.4324i −1.33902 + 2.78050i
\(55\) 1.50640 + 6.59997i 0.203123 + 0.889940i
\(56\) 19.1608 15.2802i 2.56046 2.04190i
\(57\) −1.10110 + 0.251319i −0.145844 + 0.0332880i
\(58\) 1.95811 + 4.06606i 0.257112 + 0.533899i
\(59\) 9.15809 11.4839i 1.19228 1.49507i 0.367124 0.930172i \(-0.380343\pi\)
0.825158 0.564902i \(-0.191086\pi\)
\(60\) −13.3097 + 16.6898i −1.71827 + 2.15464i
\(61\) 9.83701 + 2.24523i 1.25950 + 0.287473i 0.799619 0.600508i \(-0.205035\pi\)
0.459881 + 0.887980i \(0.347892\pi\)
\(62\) −7.22317 14.9991i −0.917343 1.90488i
\(63\) 7.43707 15.4432i 0.936983 1.94567i
\(64\) −3.85845 + 16.9050i −0.482306 + 2.11312i
\(65\) −6.97095 1.59107i −0.864641 0.197349i
\(66\) 34.6845 + 16.7032i 4.26937 + 2.05602i
\(67\) −7.30824 + 3.51946i −0.892843 + 0.429971i −0.823299 0.567608i \(-0.807869\pi\)
−0.0695445 + 0.997579i \(0.522155\pi\)
\(68\) −19.2297 + 8.84491i −2.33194 + 1.07260i
\(69\) 11.4339 14.3377i 1.37648 1.72605i
\(70\) 6.81467 8.54533i 0.814509 1.02136i
\(71\) −1.50380 3.12267i −0.178468 0.370593i 0.792475 0.609905i \(-0.208792\pi\)
−0.970943 + 0.239312i \(0.923078\pi\)
\(72\) 10.9016 + 47.7630i 1.28476 + 5.62892i
\(73\) 0.644586 0.514040i 0.0754431 0.0601638i −0.585042 0.811003i \(-0.698922\pi\)
0.660485 + 0.750839i \(0.270351\pi\)
\(74\) 6.37446 1.45493i 0.741016 0.169132i
\(75\) 3.93367 8.16835i 0.454221 0.943200i
\(76\) −1.21491 + 1.52345i −0.139360 + 0.174752i
\(77\) −12.7799 6.15446i −1.45640 0.701366i
\(78\) −31.7899 + 25.3516i −3.59950 + 2.87051i
\(79\) 7.39600i 0.832115i 0.909338 + 0.416058i \(0.136589\pi\)
−0.909338 + 0.416058i \(0.863411\pi\)
\(80\) 16.8911i 1.88848i
\(81\) 4.80333 + 6.02319i 0.533704 + 0.669243i
\(82\) 0.156494 + 0.324964i 0.0172819 + 0.0358862i
\(83\) −1.12585 + 4.93268i −0.123578 + 0.541431i 0.874799 + 0.484486i \(0.160993\pi\)
−0.998377 + 0.0569456i \(0.981864\pi\)
\(84\) −9.95305 43.6072i −1.08597 4.75793i
\(85\) −4.56785 + 3.51236i −0.495453 + 0.380969i
\(86\) −17.2935 2.77100i −1.86481 0.298805i
\(87\) 5.02771 0.539027
\(88\) 39.5257 9.02148i 4.21345 0.961693i
\(89\) 0.0415505 0.182045i 0.00440434 0.0192967i −0.972678 0.232158i \(-0.925421\pi\)
0.977082 + 0.212862i \(0.0682784\pi\)
\(90\) 9.48000 + 19.6854i 0.999280 + 2.07503i
\(91\) 11.7133 9.34106i 1.22789 0.979210i
\(92\) 31.6392i 3.29861i
\(93\) −18.5465 −1.92318
\(94\) 13.0149 + 16.3201i 1.34238 + 1.68329i
\(95\) −0.230157 + 0.477927i −0.0236136 + 0.0490342i
\(96\) 36.1577 + 28.8348i 3.69033 + 2.94294i
\(97\) −3.93850 + 8.17838i −0.399894 + 0.830389i 0.599652 + 0.800261i \(0.295306\pi\)
−0.999546 + 0.0301277i \(0.990409\pi\)
\(98\) 0.935770 + 4.09987i 0.0945270 + 0.414150i
\(99\) 22.1692 17.6793i 2.22808 1.77684i
\(100\) −3.48061 15.2496i −0.348061 1.52496i
\(101\) 15.4319 7.43159i 1.53553 0.739471i 0.540716 0.841205i \(-0.318153\pi\)
0.994812 + 0.101734i \(0.0324392\pi\)
\(102\) −0.579679 + 32.7620i −0.0573967 + 3.24392i
\(103\) −1.25636 + 1.57543i −0.123793 + 0.155231i −0.839866 0.542794i \(-0.817366\pi\)
0.716073 + 0.698026i \(0.245938\pi\)
\(104\) −9.52858 + 41.7474i −0.934354 + 4.09367i
\(105\) −5.28318 10.9706i −0.515586 1.07062i
\(106\) −25.8625 12.4547i −2.51199 1.20971i
\(107\) 15.5975 + 3.56003i 1.50787 + 0.344161i 0.895015 0.446037i \(-0.147165\pi\)
0.612852 + 0.790198i \(0.290022\pi\)
\(108\) 42.4960 + 9.69944i 4.08918 + 0.933329i
\(109\) −3.28302 + 6.81726i −0.314456 + 0.652975i −0.996961 0.0779063i \(-0.975176\pi\)
0.682504 + 0.730881i \(0.260891\pi\)
\(110\) 16.2904 7.84507i 1.55323 0.747998i
\(111\) 1.62087 7.10150i 0.153846 0.674045i
\(112\) −27.6706 22.0665i −2.61462 2.08509i
\(113\) −1.81334 1.44609i −0.170584 0.136036i 0.534476 0.845183i \(-0.320509\pi\)
−0.705061 + 0.709147i \(0.749080\pi\)
\(114\) 1.30883 + 2.71780i 0.122583 + 0.254546i
\(115\) −1.91661 8.39721i −0.178725 0.783044i
\(116\) 6.78178 5.40829i 0.629672 0.502147i
\(117\) 6.66434 + 29.1984i 0.616119 + 2.69939i
\(118\) −35.3459 17.0217i −3.25385 1.56697i
\(119\) 0.213588 12.0715i 0.0195796 1.10659i
\(120\) 31.3561 + 15.1003i 2.86241 + 1.37846i
\(121\) −7.77192 9.74568i −0.706538 0.885971i
\(122\) 26.9491i 2.43986i
\(123\) 0.401820 0.0362309
\(124\) −25.0169 + 19.9503i −2.24659 + 1.79159i
\(125\) −4.87935 10.1321i −0.436422 0.906240i
\(126\) −44.6329 10.1872i −3.97621 0.907545i
\(127\) 3.08127 + 13.4999i 0.273418 + 1.19792i 0.905948 + 0.423388i \(0.139159\pi\)
−0.632530 + 0.774536i \(0.717984\pi\)
\(128\) 15.2268 1.34587
\(129\) −11.1405 + 16.0186i −0.980867 + 1.41036i
\(130\) 19.0974i 1.67495i
\(131\) −2.38615 + 0.544624i −0.208479 + 0.0475840i −0.325485 0.945547i \(-0.605528\pi\)
0.117006 + 0.993131i \(0.462670\pi\)
\(132\) 16.4651 72.1382i 1.43310 6.27883i
\(133\) −0.482250 1.00140i −0.0418164 0.0868326i
\(134\) 13.5078 + 16.9383i 1.16690 + 1.46325i
\(135\) 11.8662 1.02128
\(136\) 21.0347 + 27.3558i 1.80371 + 2.34574i
\(137\) −9.46601 11.8700i −0.808736 1.01412i −0.999472 0.0324810i \(-0.989659\pi\)
0.190737 0.981641i \(-0.438912\pi\)
\(138\) −44.1295 21.2516i −3.75655 1.80906i
\(139\) −10.3607 8.26242i −0.878787 0.700809i 0.0763161 0.997084i \(-0.475684\pi\)
−0.955103 + 0.296275i \(0.904256\pi\)
\(140\) −18.9275 9.11498i −1.59966 0.770356i
\(141\) 22.6720 5.17473i 1.90933 0.435791i
\(142\) −7.23742 + 5.77165i −0.607350 + 0.484346i
\(143\) 24.1628 5.51500i 2.02059 0.461187i
\(144\) 63.7433 30.6971i 5.31194 2.55809i
\(145\) 1.47230 1.84621i 0.122268 0.153319i
\(146\) −1.72161 1.37294i −0.142481 0.113625i
\(147\) 4.56748 + 1.04250i 0.376720 + 0.0859838i
\(148\) −5.45270 11.3226i −0.448209 0.930715i
\(149\) 10.6624 + 5.13472i 0.873494 + 0.420653i 0.816244 0.577707i \(-0.196052\pi\)
0.0572502 + 0.998360i \(0.481767\pi\)
\(150\) −23.6076 5.38827i −1.92755 0.439951i
\(151\) 0.458757 2.00995i 0.0373331 0.163567i −0.952825 0.303520i \(-0.901838\pi\)
0.990158 + 0.139953i \(0.0446952\pi\)
\(152\) 2.86219 + 1.37836i 0.232154 + 0.111800i
\(153\) 21.5563 + 10.8549i 1.74272 + 0.877563i
\(154\) −8.43027 + 36.9354i −0.679330 + 2.97634i
\(155\) −5.43109 + 6.81037i −0.436236 + 0.547022i
\(156\) 61.1021 + 48.7273i 4.89209 + 3.90131i
\(157\) 7.51557 3.61931i 0.599808 0.288852i −0.109237 0.994016i \(-0.534841\pi\)
0.709045 + 0.705164i \(0.249126\pi\)
\(158\) 19.2585 4.39564i 1.53213 0.349698i
\(159\) −25.0023 + 19.9387i −1.98281 + 1.58124i
\(160\) 21.1766 4.83343i 1.67416 0.382116i
\(161\) 16.2600 + 7.83038i 1.28146 + 0.617121i
\(162\) 12.8291 16.0872i 1.00795 1.26393i
\(163\) 0.797999 1.65706i 0.0625041 0.129791i −0.867377 0.497652i \(-0.834196\pi\)
0.929881 + 0.367861i \(0.119910\pi\)
\(164\) 0.542007 0.432236i 0.0423236 0.0337520i
\(165\) 20.1433i 1.56815i
\(166\) 13.5134 1.04884
\(167\) 0.473369 0.377499i 0.0366304 0.0292118i −0.605004 0.796223i \(-0.706828\pi\)
0.641634 + 0.767011i \(0.278257\pi\)
\(168\) −65.7006 + 31.6397i −5.06891 + 2.44106i
\(169\) −2.93223 + 12.8469i −0.225556 + 0.988225i
\(170\) 11.8607 + 9.80680i 0.909672 + 0.752147i
\(171\) 2.22187 0.169910
\(172\) 2.20391 + 33.5909i 0.168046 + 2.56128i
\(173\) 21.7023i 1.64999i −0.565138 0.824996i \(-0.691177\pi\)
0.565138 0.824996i \(-0.308823\pi\)
\(174\) −2.98810 13.0917i −0.226527 0.992480i
\(175\) 8.69844 + 1.98536i 0.657541 + 0.150079i
\(176\) −25.4031 52.7500i −1.91483 3.97618i
\(177\) −34.1703 + 27.2499i −2.56840 + 2.04823i
\(178\) −0.498723 −0.0373809
\(179\) −21.4572 −1.60378 −0.801892 0.597469i \(-0.796173\pi\)
−0.801892 + 0.597469i \(0.796173\pi\)
\(180\) 32.8333 26.1837i 2.44725 1.95162i
\(181\) 4.40983 9.15711i 0.327780 0.680642i −0.670332 0.742061i \(-0.733848\pi\)
0.998112 + 0.0614190i \(0.0195626\pi\)
\(182\) −31.2848 24.9488i −2.31899 1.84933i
\(183\) −27.0496 13.0264i −1.99956 0.962939i
\(184\) −50.2889 + 11.4781i −3.70735 + 0.846178i
\(185\) −2.13306 2.67478i −0.156826 0.196654i
\(186\) 11.0226 + 48.2933i 0.808219 + 3.54104i
\(187\) 8.98281 17.8387i 0.656888 1.30449i
\(188\) 25.0154 31.3683i 1.82443 2.28777i
\(189\) −15.5021 + 19.4390i −1.12761 + 1.41398i
\(190\) 1.38127 + 0.315265i 0.100208 + 0.0228718i
\(191\) 16.9707 8.17267i 1.22796 0.591354i 0.296441 0.955051i \(-0.404200\pi\)
0.931517 + 0.363697i \(0.118486\pi\)
\(192\) 22.3859 46.4849i 1.61557 3.35476i
\(193\) −17.9848 4.10492i −1.29458 0.295479i −0.480889 0.876781i \(-0.659686\pi\)
−0.813688 + 0.581303i \(0.802543\pi\)
\(194\) 23.6365 + 5.39488i 1.69700 + 0.387330i
\(195\) 19.1686 + 9.23110i 1.37269 + 0.661053i
\(196\) 7.28240 3.50702i 0.520171 0.250501i
\(197\) 8.41080 + 1.91971i 0.599244 + 0.136774i 0.511374 0.859358i \(-0.329137\pi\)
0.0878705 + 0.996132i \(0.471994\pi\)
\(198\) −59.2111 47.2193i −4.20795 3.35573i
\(199\) −5.89851 4.70391i −0.418134 0.333451i 0.391717 0.920086i \(-0.371881\pi\)
−0.809852 + 0.586635i \(0.800453\pi\)
\(200\) −22.9757 + 11.0645i −1.62463 + 0.782380i
\(201\) 23.5307 5.37074i 1.65973 0.378823i
\(202\) −28.5228 35.7664i −2.00685 2.51652i
\(203\) 1.10099 + 4.82377i 0.0772747 + 0.338563i
\(204\) 61.6396 12.9260i 4.31564 0.905002i
\(205\) 0.117668 0.147551i 0.00821828 0.0103054i
\(206\) 4.84896 + 2.33514i 0.337843 + 0.162697i
\(207\) −28.2060 + 22.4936i −1.96046 + 1.56341i
\(208\) 61.8391 4.28777
\(209\) 1.83868i 0.127184i
\(210\) −25.4266 + 20.2771i −1.75461 + 1.39925i
\(211\) 6.75383 + 14.0245i 0.464953 + 0.965484i 0.993203 + 0.116396i \(0.0371341\pi\)
−0.528250 + 0.849089i \(0.677152\pi\)
\(212\) −12.2772 + 53.7898i −0.843200 + 3.69430i
\(213\) 2.29482 + 10.0542i 0.157238 + 0.688905i
\(214\) 42.7303i 2.92098i
\(215\) 2.61977 + 8.78170i 0.178667 + 0.598907i
\(216\) 71.0641i 4.83530i
\(217\) −4.06140 17.7942i −0.275706 1.20795i
\(218\) 19.7027 + 4.49702i 1.33444 + 0.304577i
\(219\) −2.21023 + 1.06439i −0.149354 + 0.0719249i
\(220\) −21.6680 27.1708i −1.46086 1.83186i
\(221\) 12.8589 + 16.7231i 0.864984 + 1.12492i
\(222\) −19.4550 −1.30573
\(223\) −3.10791 3.89720i −0.208121 0.260975i 0.666805 0.745232i \(-0.267661\pi\)
−0.874926 + 0.484257i \(0.839090\pi\)
\(224\) −19.7472 + 41.0054i −1.31941 + 2.73979i
\(225\) −11.1203 + 13.9445i −0.741356 + 0.929631i
\(226\) −2.68777 + 5.58121i −0.178788 + 0.371257i
\(227\) 24.3325 5.55373i 1.61500 0.368614i 0.682817 0.730590i \(-0.260755\pi\)
0.932188 + 0.361976i \(0.117898\pi\)
\(228\) 4.53303 3.61497i 0.300207 0.239407i
\(229\) −3.15524 13.8240i −0.208504 0.913517i −0.965563 0.260170i \(-0.916221\pi\)
0.757059 0.653347i \(-0.226636\pi\)
\(230\) −20.7265 + 9.98136i −1.36666 + 0.658151i
\(231\) 32.9982 + 26.3152i 2.17112 + 1.73141i
\(232\) −11.0565 8.81727i −0.725895 0.578882i
\(233\) −21.5643 4.92192i −1.41273 0.322446i −0.552992 0.833186i \(-0.686514\pi\)
−0.859735 + 0.510741i \(0.829371\pi\)
\(234\) 72.0693 34.7067i 4.71132 2.26885i
\(235\) 4.73901 9.84065i 0.309139 0.641933i
\(236\) −16.7790 + 73.5137i −1.09222 + 4.78534i
\(237\) 4.89698 21.4551i 0.318093 1.39366i
\(238\) −31.5601 + 6.61824i −2.04573 + 0.428997i
\(239\) 20.6020 9.92138i 1.33263 0.641761i 0.374269 0.927320i \(-0.377894\pi\)
0.958361 + 0.285560i \(0.0921795\pi\)
\(240\) 11.1838 48.9994i 0.721910 3.16290i
\(241\) −1.51539 1.20848i −0.0976147 0.0778451i 0.573466 0.819229i \(-0.305598\pi\)
−0.671081 + 0.741384i \(0.734170\pi\)
\(242\) −20.7578 + 26.0295i −1.33437 + 1.67324i
\(243\) 1.10626 + 2.29718i 0.0709669 + 0.147364i
\(244\) −50.4991 + 11.5261i −3.23287 + 0.737882i
\(245\) 1.72034 1.37193i 0.109909 0.0876492i
\(246\) −0.238812 1.04630i −0.0152261 0.0667099i
\(247\) 1.74971 + 0.842617i 0.111331 + 0.0536144i
\(248\) 40.7858 + 32.5256i 2.58990 + 2.06537i
\(249\) 6.53196 13.5638i 0.413946 0.859568i
\(250\) −23.4831 + 18.7271i −1.48520 + 1.18441i
\(251\) −5.36219 −0.338458 −0.169229 0.985577i \(-0.554128\pi\)
−0.169229 + 0.985577i \(0.554128\pi\)
\(252\) 87.9932i 5.54305i
\(253\) 18.6143 + 23.3416i 1.17027 + 1.46747i
\(254\) 33.3213 16.0467i 2.09077 1.00686i
\(255\) 15.5765 7.16458i 0.975436 0.448663i
\(256\) −1.33276 5.83921i −0.0832977 0.364951i
\(257\) 6.09805 0.380386 0.190193 0.981747i \(-0.439089\pi\)
0.190193 + 0.981747i \(0.439089\pi\)
\(258\) 48.3320 + 19.4886i 3.00902 + 1.21331i
\(259\) 7.16840 0.445422
\(260\) 35.7860 8.16791i 2.21935 0.506552i
\(261\) −9.64287 2.20092i −0.596879 0.136234i
\(262\) 2.83630 + 5.88965i 0.175227 + 0.363864i
\(263\) 7.25169 + 9.09333i 0.447158 + 0.560719i 0.953414 0.301665i \(-0.0975423\pi\)
−0.506256 + 0.862383i \(0.668971\pi\)
\(264\) −120.633 −7.42447
\(265\) 15.0198i 0.922660i
\(266\) −2.32095 + 1.85090i −0.142307 + 0.113486i
\(267\) −0.241068 + 0.500582i −0.0147531 + 0.0306351i
\(268\) 25.9629 32.5564i 1.58593 1.98870i
\(269\) 4.28525 8.89841i 0.261276 0.542545i −0.728522 0.685022i \(-0.759792\pi\)
0.989798 + 0.142477i \(0.0455067\pi\)
\(270\) −7.05241 30.8986i −0.429196 1.88043i
\(271\) 4.95266 + 6.21044i 0.300852 + 0.377257i 0.909162 0.416443i \(-0.136723\pi\)
−0.608309 + 0.793700i \(0.708152\pi\)
\(272\) 31.7553 38.4059i 1.92545 2.32870i
\(273\) −40.1640 + 19.3420i −2.43084 + 1.17063i
\(274\) −25.2825 + 31.7033i −1.52737 + 1.91527i
\(275\) 11.5396 + 9.20250i 0.695863 + 0.554932i
\(276\) −20.9487 + 91.7822i −1.26096 + 5.52464i
\(277\) 2.78566 + 5.78449i 0.167374 + 0.347556i 0.967738 0.251958i \(-0.0810746\pi\)
−0.800364 + 0.599515i \(0.795360\pi\)
\(278\) −15.3569 + 31.8890i −0.921048 + 1.91258i
\(279\) 35.5711 + 8.11887i 2.12958 + 0.486064i
\(280\) −7.62127 + 33.3910i −0.455458 + 1.99549i
\(281\) 13.4194 + 6.46242i 0.800532 + 0.385516i 0.788981 0.614418i \(-0.210609\pi\)
0.0115506 + 0.999933i \(0.496323\pi\)
\(282\) −26.9491 55.9604i −1.60480 3.33239i
\(283\) 4.51875 + 1.03138i 0.268612 + 0.0613089i 0.354705 0.934978i \(-0.384581\pi\)
−0.0860933 + 0.996287i \(0.527438\pi\)
\(284\) 13.9107 + 11.0934i 0.825451 + 0.658275i
\(285\) 0.984104 1.23403i 0.0582933 0.0730975i
\(286\) −28.7211 59.6401i −1.69832 3.52659i
\(287\) 0.0879927 + 0.385521i 0.00519405 + 0.0227566i
\(288\) −56.7258 71.1319i −3.34260 4.19149i
\(289\) 16.9894 + 0.601395i 0.999374 + 0.0353762i
\(290\) −5.68239 2.73649i −0.333681 0.160692i
\(291\) 16.8402 21.1169i 0.987190 1.23790i
\(292\) −1.83638 + 3.81327i −0.107466 + 0.223155i
\(293\) 2.60899 + 3.27157i 0.152419 + 0.191127i 0.852179 0.523251i \(-0.175281\pi\)
−0.699760 + 0.714378i \(0.746710\pi\)
\(294\) 12.5129i 0.729768i
\(295\) 20.5273i 1.19515i
\(296\) −16.0186 + 12.7744i −0.931064 + 0.742499i
\(297\) −37.0576 + 17.8460i −2.15030 + 1.03553i
\(298\) 7.03345 30.8155i 0.407437 1.78510i
\(299\) −30.7426 + 7.01679i −1.77789 + 0.405791i
\(300\) 46.5420i 2.68711i
\(301\) −17.8084 7.18079i −1.02646 0.413894i
\(302\) −5.50638 −0.316856
\(303\) −49.6868 + 11.3407i −2.85443 + 0.651506i
\(304\) 1.02086 4.47267i 0.0585503 0.256525i
\(305\) −12.7045 + 6.11817i −0.727458 + 0.350325i
\(306\) 15.4536 62.5820i 0.883426 3.57757i
\(307\) −25.0076 −1.42726 −0.713631 0.700522i \(-0.752951\pi\)
−0.713631 + 0.700522i \(0.752951\pi\)
\(308\) 72.8177 4.14918
\(309\) 4.68768 3.73830i 0.266673 0.212665i
\(310\) 20.9615 + 10.0945i 1.19053 + 0.573329i
\(311\) 14.4408 + 11.5162i 0.818863 + 0.653021i 0.940591 0.339542i \(-0.110272\pi\)
−0.121728 + 0.992563i \(0.538844\pi\)
\(312\) 55.2829 114.796i 3.12978 6.49905i
\(313\) 22.7203 5.18575i 1.28422 0.293116i 0.474672 0.880163i \(-0.342567\pi\)
0.809553 + 0.587047i \(0.199710\pi\)
\(314\) −13.8911 17.4188i −0.783918 0.983002i
\(315\) 5.33036 + 23.3538i 0.300332 + 1.31584i
\(316\) −16.4737 34.2080i −0.926718 1.92435i
\(317\) −4.80663 3.83316i −0.269967 0.215292i 0.479143 0.877737i \(-0.340947\pi\)
−0.749111 + 0.662445i \(0.769519\pi\)
\(318\) 66.7782 + 53.2538i 3.74473 + 2.98633i
\(319\) −1.82135 + 7.97985i −0.101976 + 0.446786i
\(320\) −10.5141 21.8328i −0.587756 1.22049i
\(321\) −42.8896 20.6546i −2.39387 1.15283i
\(322\) 10.7259 46.9933i 0.597732 2.61883i
\(323\) 1.42182 0.653984i 0.0791123 0.0363886i
\(324\) −35.6323 17.1596i −1.97957 0.953311i
\(325\) −14.0455 + 6.76395i −0.779103 + 0.375196i
\(326\) −4.78911 1.09308i −0.265244 0.0605403i
\(327\) 14.0375 17.6025i 0.776275 0.973419i
\(328\) −0.883648 0.704686i −0.0487913 0.0389098i
\(329\) 9.92967 + 20.6192i 0.547440 + 1.13677i
\(330\) −52.4513 + 11.9717i −2.88735 + 0.659018i
\(331\) 7.83320 + 9.82252i 0.430552 + 0.539895i 0.949026 0.315199i \(-0.102071\pi\)
−0.518474 + 0.855093i \(0.673500\pi\)
\(332\) −5.77965 25.3223i −0.317199 1.38974i
\(333\) −6.21749 + 12.9107i −0.340716 + 0.707504i
\(334\) −1.26431 1.00825i −0.0691800 0.0551692i
\(335\) 4.91851 10.2134i 0.268727 0.558017i
\(336\) 65.6591 + 82.3339i 3.58200 + 4.49168i
\(337\) 27.3847i 1.49174i 0.666090 + 0.745871i \(0.267967\pi\)
−0.666090 + 0.745871i \(0.732033\pi\)
\(338\) 35.1950 1.91435
\(339\) 4.30283 + 5.39558i 0.233698 + 0.293048i
\(340\) 13.3039 26.4197i 0.721504 1.43281i
\(341\) 6.71867 29.4364i 0.363837 1.59407i
\(342\) −1.32051 5.78555i −0.0714052 0.312847i
\(343\) 15.8871i 0.857821i
\(344\) 52.5916 15.6892i 2.83555 0.845903i
\(345\) 25.6285i 1.37979i
\(346\) −56.5108 + 12.8982i −3.03804 + 0.693413i
\(347\) 6.15960 + 1.40589i 0.330665 + 0.0754721i 0.384630 0.923071i \(-0.374329\pi\)
−0.0539655 + 0.998543i \(0.517186\pi\)
\(348\) −23.2541 + 11.1986i −1.24655 + 0.600308i
\(349\) 0.113812 + 0.142716i 0.00609221 + 0.00763940i 0.784868 0.619663i \(-0.212731\pi\)
−0.778776 + 0.627302i \(0.784159\pi\)
\(350\) 23.8299i 1.27376i
\(351\) 43.4428i 2.31881i
\(352\) −58.8644 + 46.9428i −3.13748 + 2.50206i
\(353\) −8.01907 3.86178i −0.426812 0.205542i 0.208131 0.978101i \(-0.433262\pi\)
−0.634943 + 0.772559i \(0.718976\pi\)
\(354\) 91.2647 + 72.7812i 4.85066 + 3.86828i
\(355\) 4.36399 + 2.10159i 0.231616 + 0.111541i
\(356\) 0.213303 + 0.934541i 0.0113050 + 0.0495306i
\(357\) −8.61227 + 34.8768i −0.455810 + 1.84587i
\(358\) 12.7526 + 55.8726i 0.673994 + 2.95296i
\(359\) −27.7889 + 13.3824i −1.46664 + 0.706297i −0.985394 0.170288i \(-0.945530\pi\)
−0.481247 + 0.876585i \(0.659816\pi\)
\(360\) −53.5290 42.6880i −2.82123 2.24985i
\(361\) −11.7565 + 14.7422i −0.618762 + 0.775903i
\(362\) −26.4652 6.04050i −1.39098 0.317482i
\(363\) 16.0928 + 33.4171i 0.844655 + 1.75394i
\(364\) −33.3704 + 69.2943i −1.74908 + 3.63201i
\(365\) −0.256387 + 1.12330i −0.0134199 + 0.0587964i
\(366\) −17.8433 + 78.1767i −0.932685 + 4.08636i
\(367\) −3.19108 + 6.62636i −0.166573 + 0.345893i −0.967501 0.252869i \(-0.918626\pi\)
0.800927 + 0.598761i \(0.204340\pi\)
\(368\) 32.3206 + 67.1143i 1.68483 + 3.49858i
\(369\) −0.770669 0.175900i −0.0401194 0.00915700i
\(370\) −5.69715 + 7.14400i −0.296181 + 0.371399i
\(371\) −24.6051 19.6219i −1.27743 1.01872i
\(372\) 85.7810 41.3099i 4.44754 2.14182i
\(373\) 1.85127 + 8.11096i 0.0958553 + 0.419970i 0.999973 0.00731336i \(-0.00232794\pi\)
−0.904118 + 0.427283i \(0.859471\pi\)
\(374\) −51.7890 12.7885i −2.67795 0.661277i
\(375\) 7.44594 + 32.6228i 0.384507 + 1.68463i
\(376\) −58.9334 28.3808i −3.03926 1.46363i
\(377\) −6.75905 5.39016i −0.348109 0.277607i
\(378\) 59.8306 + 28.8129i 3.07736 + 1.48198i
\(379\) 12.7869 10.1972i 0.656821 0.523797i −0.237406 0.971410i \(-0.576297\pi\)
0.894227 + 0.447613i \(0.147726\pi\)
\(380\) 2.72315i 0.139695i
\(381\) 41.2020i 2.11084i
\(382\) −31.3671 39.3330i −1.60488 2.01245i
\(383\) 18.1639 8.74726i 0.928131 0.446964i 0.0921637 0.995744i \(-0.470622\pi\)
0.835967 + 0.548780i \(0.184907\pi\)
\(384\) −44.1713 10.0818i −2.25411 0.514485i
\(385\) 19.3262 4.41108i 0.984954 0.224809i
\(386\) 49.2706i 2.50781i
\(387\) 28.3791 25.8459i 1.44259 1.31382i
\(388\) 46.5991i 2.36571i
\(389\) −6.91422 30.2932i −0.350565 1.53592i −0.775881 0.630880i \(-0.782694\pi\)
0.425316 0.905045i \(-0.360163\pi\)
\(390\) 12.6446 55.3996i 0.640284 2.80527i
\(391\) −11.4289 + 22.6963i −0.577985 + 1.14780i
\(392\) −8.21615 10.3027i −0.414978 0.520366i
\(393\) 7.28259 0.367358
\(394\) 23.0419i 1.16083i
\(395\) −6.44442 8.08105i −0.324254 0.406602i
\(396\) −63.1582 + 131.149i −3.17382 + 6.59051i
\(397\) 6.48586 + 5.17230i 0.325516 + 0.259590i 0.772588 0.634908i \(-0.218962\pi\)
−0.447072 + 0.894498i \(0.647533\pi\)
\(398\) −8.74292 + 18.1549i −0.438243 + 0.910021i
\(399\) 0.735919 + 3.22427i 0.0368420 + 0.161415i
\(400\) 22.9612 + 28.7924i 1.14806 + 1.43962i
\(401\) 15.4021 3.51544i 0.769146 0.175553i 0.180096 0.983649i \(-0.442359\pi\)
0.589050 + 0.808096i \(0.299502\pi\)
\(402\) −27.9699 58.0800i −1.39501 2.89677i
\(403\) 24.9331 + 19.8835i 1.24201 + 0.990467i
\(404\) −54.8224 + 68.7452i −2.72752 + 3.42020i
\(405\) −10.4965 2.39575i −0.521574 0.119046i
\(406\) 11.9063 5.73379i 0.590901 0.284563i
\(407\) 10.6841 + 5.14521i 0.529593 + 0.255038i
\(408\) −42.9070 93.2838i −2.12421 4.61824i
\(409\) 4.86907 21.3328i 0.240760 1.05484i −0.699567 0.714567i \(-0.746624\pi\)
0.940327 0.340272i \(-0.110519\pi\)
\(410\) −0.454143 0.218704i −0.0224285 0.0108010i
\(411\) 19.6007 + 40.7012i 0.966830 + 2.00764i
\(412\) 2.30185 10.0850i 0.113404 0.496855i
\(413\) −33.6274 26.8170i −1.65470 1.31958i
\(414\) 75.3349 + 60.0776i 3.70251 + 2.95265i
\(415\) −3.06790 6.37055i −0.150597 0.312718i
\(416\) −17.6954 77.5286i −0.867589 3.80115i
\(417\) 24.5848 + 30.8284i 1.20392 + 1.50967i
\(418\) −4.78776 + 1.09278i −0.234177 + 0.0534494i
\(419\) 6.95699 14.4463i 0.339871 0.705750i −0.659054 0.752096i \(-0.729043\pi\)
0.998925 + 0.0463453i \(0.0147574\pi\)
\(420\) 48.8715 + 38.9737i 2.38469 + 1.90172i
\(421\) −14.9037 7.17726i −0.726363 0.349798i 0.0338895 0.999426i \(-0.489211\pi\)
−0.760253 + 0.649628i \(0.774925\pi\)
\(422\) 32.5045 25.9215i 1.58230 1.26184i
\(423\) −45.7489 −2.22439
\(424\) 89.9502 4.36837
\(425\) −3.01174 + 12.1965i −0.146091 + 0.591618i
\(426\) 24.8165 11.9510i 1.20236 0.579028i
\(427\) 6.57455 28.8050i 0.318165 1.39397i
\(428\) −80.0710 + 18.2757i −3.87038 + 0.883389i
\(429\) −73.7454 −3.56046
\(430\) 21.3098 12.0408i 1.02765 0.580660i
\(431\) 35.5933i 1.71447i −0.514926 0.857234i \(-0.672181\pi\)
0.514926 0.857234i \(-0.327819\pi\)
\(432\) −100.053 + 22.8364i −4.81378 + 1.09871i
\(433\) 4.19249 18.3685i 0.201478 0.882733i −0.768560 0.639778i \(-0.779026\pi\)
0.970038 0.242955i \(-0.0781167\pi\)
\(434\) −43.9206 + 21.1511i −2.10826 + 1.01528i
\(435\) −5.49339 + 4.38083i −0.263388 + 0.210045i
\(436\) 38.8437i 1.86028i
\(437\) 2.33937i 0.111907i
\(438\) 4.08518 + 5.12265i 0.195197 + 0.244770i
\(439\) 8.61452 17.8882i 0.411149 0.853759i −0.587848 0.808972i \(-0.700025\pi\)
0.998997 0.0447875i \(-0.0142611\pi\)
\(440\) −35.3259 + 44.2973i −1.68410 + 2.11179i
\(441\) −8.30382 3.99891i −0.395420 0.190424i
\(442\) 35.9031 43.4224i 1.70774 2.06540i
\(443\) −24.4343 30.6396i −1.16091 1.45573i −0.865886 0.500241i \(-0.833245\pi\)
−0.295021 0.955491i \(-0.595327\pi\)
\(444\) 8.32088 + 36.4561i 0.394891 + 1.73013i
\(445\) 0.113223 + 0.235111i 0.00536730 + 0.0111453i
\(446\) −8.30084 + 10.4089i −0.393056 + 0.492877i
\(447\) −27.5307 21.9550i −1.30216 1.03843i
\(448\) 49.5015 + 11.2984i 2.33873 + 0.533799i
\(449\) 4.31587 + 8.96200i 0.203679 + 0.422943i 0.977639 0.210291i \(-0.0674413\pi\)
−0.773960 + 0.633234i \(0.781727\pi\)
\(450\) 42.9193 + 20.6688i 2.02323 + 0.974338i
\(451\) −0.145564 + 0.637758i −0.00685435 + 0.0300309i
\(452\) 11.6080 + 2.64945i 0.545995 + 0.124620i
\(453\) −2.66162 + 5.52691i −0.125054 + 0.259677i
\(454\) −28.9229 60.0589i −1.35742 2.81871i
\(455\) −4.65903 + 20.4125i −0.218419 + 0.956954i
\(456\) −7.39031 5.89357i −0.346083 0.275992i
\(457\) −4.53770 + 5.69010i −0.212265 + 0.266172i −0.876553 0.481305i \(-0.840163\pi\)
0.664289 + 0.747476i \(0.268735\pi\)
\(458\) −34.1213 + 16.4319i −1.59438 + 0.767814i
\(459\) −26.9807 22.3086i −1.25935 1.04127i
\(460\) 27.5684 + 34.5697i 1.28539 + 1.61182i
\(461\) 6.05212 + 26.5161i 0.281875 + 1.23498i 0.895386 + 0.445291i \(0.146900\pi\)
−0.613511 + 0.789686i \(0.710243\pi\)
\(462\) 48.9107 101.564i 2.27553 4.72519i
\(463\) −5.25726 + 6.59240i −0.244326 + 0.306375i −0.888840 0.458217i \(-0.848488\pi\)
0.644514 + 0.764592i \(0.277060\pi\)
\(464\) −8.86102 + 18.4001i −0.411363 + 0.854203i
\(465\) 20.2643 16.1602i 0.939734 0.749413i
\(466\) 59.0769i 2.73668i
\(467\) −36.0171 −1.66667 −0.833337 0.552765i \(-0.813573\pi\)
−0.833337 + 0.552765i \(0.813573\pi\)
\(468\) −95.8598 120.204i −4.43112 5.55645i
\(469\) 10.3058 + 21.4002i 0.475877 + 0.988168i
\(470\) −28.4407 6.49141i −1.31187 0.299426i
\(471\) −24.1983 + 5.52311i −1.11500 + 0.254491i
\(472\) 122.934 5.65847
\(473\) −21.3885 23.4848i −0.983443 1.07983i
\(474\) −58.7775 −2.69974
\(475\) 0.257353 + 1.12754i 0.0118082 + 0.0517350i
\(476\) 25.8999 + 56.3088i 1.18712 + 2.58091i
\(477\) 56.6815 27.2964i 2.59527 1.24981i
\(478\) −38.0787 47.7491i −1.74168 2.18400i
\(479\) 27.0075i 1.23401i −0.786961 0.617003i \(-0.788347\pi\)
0.786961 0.617003i \(-0.211653\pi\)
\(480\) −64.6316 −2.95001
\(481\) −9.79249 + 7.80925i −0.446499 + 0.356071i
\(482\) −2.24614 + 4.66417i −0.102309 + 0.212447i
\(483\) −41.9839 33.4811i −1.91033 1.52344i
\(484\) 57.6540 + 27.7647i 2.62064 + 1.26203i
\(485\) −2.82284 12.3677i −0.128178 0.561586i
\(486\) 5.32418 4.24589i 0.241510 0.192598i
\(487\) 9.41598 2.14914i 0.426679 0.0973866i −0.00378857 0.999993i \(-0.501206\pi\)
0.430467 + 0.902606i \(0.358349\pi\)
\(488\) 36.6403 + 76.0844i 1.65863 + 3.44418i
\(489\) −3.41207 + 4.27861i −0.154299 + 0.193485i
\(490\) −4.59482 3.66425i −0.207573 0.165534i
\(491\) 2.52815 11.0765i 0.114094 0.499877i −0.885299 0.465023i \(-0.846046\pi\)
0.999392 0.0348541i \(-0.0110967\pi\)
\(492\) −1.85850 + 0.895005i −0.0837875 + 0.0403499i
\(493\) −6.81851 + 1.42986i −0.307090 + 0.0643977i
\(494\) 1.15420 5.05688i 0.0519300 0.227520i
\(495\) −8.81788 + 38.6337i −0.396334 + 1.73645i
\(496\) 32.6869 67.8751i 1.46769 3.04768i
\(497\) −9.14389 + 4.40346i −0.410159 + 0.197522i
\(498\) −39.2010 8.94736i −1.75664 0.400941i
\(499\) 13.5493 + 10.8052i 0.606550 + 0.483707i 0.877946 0.478761i \(-0.158914\pi\)
−0.271396 + 0.962468i \(0.587485\pi\)
\(500\) 45.1359 + 35.9947i 2.01854 + 1.60973i
\(501\) −1.62314 + 0.781664i −0.0725167 + 0.0349222i
\(502\) 3.18689 + 13.9627i 0.142238 + 0.623185i
\(503\) −15.1709 + 12.0984i −0.676438 + 0.539441i −0.900349 0.435168i \(-0.856689\pi\)
0.223911 + 0.974610i \(0.428117\pi\)
\(504\) 139.861 31.9223i 6.22989 1.42193i
\(505\) −10.3858 + 21.5663i −0.462161 + 0.959688i
\(506\) 49.7165 62.3425i 2.21017 2.77146i
\(507\) 17.0122 35.3262i 0.755538 1.56889i
\(508\) −44.3209 55.5766i −1.96642 2.46581i
\(509\) −6.67205 −0.295733 −0.147867 0.989007i \(-0.547241\pi\)
−0.147867 + 0.989007i \(0.547241\pi\)
\(510\) −27.9134 36.3016i −1.23603 1.60746i
\(511\) −1.50523 1.88749i −0.0665872 0.0834978i
\(512\) 13.0250 6.27249i 0.575627 0.277208i
\(513\) −3.14212 0.717167i −0.138728 0.0316637i
\(514\) −3.62423 15.8788i −0.159858 0.700384i
\(515\) 2.81606i 0.124091i
\(516\) 15.8476 98.9032i 0.697653 4.35397i
\(517\) 37.8590i 1.66504i
\(518\) −4.26036 18.6659i −0.187190 0.820131i
\(519\) −14.3693 + 62.9561i −0.630743 + 2.76347i
\(520\) −25.9650 53.9168i −1.13864 2.36441i
\(521\) 19.5468 15.5881i 0.856362 0.682926i −0.0934922 0.995620i \(-0.529803\pi\)
0.949854 + 0.312694i \(0.101232\pi\)
\(522\) 26.4173i 1.15625i
\(523\) 36.7190 1.60561 0.802806 0.596241i \(-0.203340\pi\)
0.802806 + 0.596241i \(0.203340\pi\)
\(524\) 9.82334 7.83385i 0.429135 0.342223i
\(525\) −23.9188 11.5187i −1.04390 0.502716i
\(526\) 19.3684 24.2872i 0.844501 1.05897i
\(527\) 25.1524 5.27454i 1.09566 0.229763i
\(528\) 38.7654 + 169.842i 1.68705 + 7.39143i
\(529\) −9.34288 11.7156i −0.406212 0.509374i
\(530\) 39.1103 8.92667i 1.69884 0.387750i
\(531\) 77.4657 37.3055i 3.36172 1.61892i
\(532\) 4.46100 + 3.55753i 0.193409 + 0.154238i
\(533\) −0.540191 0.430788i −0.0233982 0.0186595i
\(534\) 1.44675 + 0.330210i 0.0626068 + 0.0142896i
\(535\) −20.1442 + 9.70092i −0.870909 + 0.419407i
\(536\) −61.1656 29.4558i −2.64195 1.27230i
\(537\) 62.2451 + 14.2070i 2.68608 + 0.613079i
\(538\) −25.7175 5.86985i −1.10876 0.253067i
\(539\) −3.30925 + 6.87173i −0.142540 + 0.295986i
\(540\) −54.8836 + 26.4306i −2.36182 + 1.13739i
\(541\) −11.9500 2.72751i −0.513771 0.117265i −0.0422282 0.999108i \(-0.513446\pi\)
−0.471543 + 0.881843i \(0.656303\pi\)
\(542\) 13.2279 16.5873i 0.568188 0.712486i
\(543\) −18.8555 + 23.6441i −0.809167 + 1.01466i
\(544\) −57.2370 28.8222i −2.45402 1.23574i
\(545\) −2.35303 10.3093i −0.100793 0.441603i
\(546\) 74.2353 + 93.0881i 3.17698 + 3.98380i
\(547\) 6.23292 1.42262i 0.266500 0.0608270i −0.0871825 0.996192i \(-0.527786\pi\)
0.353683 + 0.935365i \(0.384929\pi\)
\(548\) 70.2211 + 33.8167i 2.99970 + 1.44458i
\(549\) 46.1772 + 36.8251i 1.97080 + 1.57166i
\(550\) 17.1042 35.5173i 0.729327 1.51446i
\(551\) −0.501438 + 0.399883i −0.0213620 + 0.0170356i
\(552\) 153.483 6.53267
\(553\) 21.6572 0.920956
\(554\) 13.4067 10.6915i 0.569597 0.454238i
\(555\) 4.41681 + 9.17159i 0.187483 + 0.389312i
\(556\) 66.3240 + 15.1380i 2.81276 + 0.641995i
\(557\) −2.43896 10.6858i −0.103342 0.452772i −0.999951 0.00994735i \(-0.996834\pi\)
0.896608 0.442825i \(-0.146024\pi\)
\(558\) 97.4492i 4.12535i
\(559\) 32.1502 9.59108i 1.35981 0.405660i
\(560\) 49.4609 2.09011
\(561\) −37.8694 + 45.8005i −1.59885 + 1.93370i
\(562\) 8.85210 38.7836i 0.373403 1.63599i
\(563\) −12.6538 + 6.09377i −0.533296 + 0.256822i −0.681094 0.732196i \(-0.738496\pi\)
0.147799 + 0.989017i \(0.452781\pi\)
\(564\) −93.3363 + 74.4332i −3.93017 + 3.13420i
\(565\) 3.24132 0.136363
\(566\) 12.3794i 0.520345i
\(567\) 17.6373 14.0652i 0.740695 0.590685i
\(568\) 12.5859 26.1349i 0.528093 1.09660i
\(569\) 0.939021 1.17750i 0.0393658 0.0493632i −0.761759 0.647861i \(-0.775664\pi\)
0.801125 + 0.598497i \(0.204235\pi\)
\(570\) −3.79818 1.82911i −0.159088 0.0766128i
\(571\) −16.5529 + 3.77810i −0.692719 + 0.158108i −0.554364 0.832274i \(-0.687038\pi\)
−0.138355 + 0.990383i \(0.544181\pi\)
\(572\) −99.4737 + 79.3276i −4.15920 + 3.31685i
\(573\) −54.6416 + 12.4716i −2.28269 + 0.521008i
\(574\) 0.951567 0.458251i 0.0397176 0.0191270i
\(575\) −14.6819 11.7084i −0.612278 0.488276i
\(576\) −63.2842 + 79.3558i −2.63684 + 3.30649i
\(577\) −2.91156 + 12.7564i −0.121210 + 0.531055i 0.877467 + 0.479637i \(0.159231\pi\)
−0.998677 + 0.0514189i \(0.983626\pi\)
\(578\) −8.53124 44.5962i −0.354853 1.85496i
\(579\) 49.4543 + 23.8159i 2.05525 + 0.989757i
\(580\) −2.69748 + 11.8184i −0.112007 + 0.490734i
\(581\) 14.4440 + 3.29675i 0.599238 + 0.136772i
\(582\) −64.9952 31.3000i −2.69414 1.29743i
\(583\) −22.5888 46.9061i −0.935532 1.94265i
\(584\) 6.72721 + 1.53544i 0.278374 + 0.0635370i
\(585\) −32.7233 26.0960i −1.35294 1.07893i
\(586\) 6.96830 8.73797i 0.287858 0.360962i
\(587\) −15.4129 + 7.42244i −0.636157 + 0.306357i −0.724024 0.689775i \(-0.757709\pi\)
0.0878668 + 0.996132i \(0.471995\pi\)
\(588\) −23.4475 + 5.35175i −0.966961 + 0.220702i
\(589\) 1.84973 1.47511i 0.0762167 0.0607808i
\(590\) 53.4514 12.1999i 2.20056 0.502263i
\(591\) −23.1278 11.1378i −0.951351 0.458147i
\(592\) 23.1330 + 18.4479i 0.950758 + 0.758205i
\(593\) −24.5207 11.8085i −1.00694 0.484918i −0.143654 0.989628i \(-0.545885\pi\)
−0.863289 + 0.504710i \(0.831599\pi\)
\(594\) 68.4937 + 85.8884i 2.81033 + 3.52404i
\(595\) 10.2850 + 13.3757i 0.421643 + 0.548350i
\(596\) −60.7525 −2.48852
\(597\) 13.9965 + 17.5510i 0.572838 + 0.718316i
\(598\) 36.5422 + 75.8807i 1.49432 + 3.10299i
\(599\) 1.61092 7.05788i 0.0658202 0.288377i −0.931296 0.364262i \(-0.881321\pi\)
0.997117 + 0.0758852i \(0.0241782\pi\)
\(600\) 73.9762 16.8846i 3.02007 0.689311i
\(601\) 37.1574i 1.51568i 0.652439 + 0.757841i \(0.273746\pi\)
−0.652439 + 0.757841i \(0.726254\pi\)
\(602\) −8.11413 + 50.6393i −0.330707 + 2.06390i
\(603\) −47.4818 −1.93361
\(604\) 2.35507 + 10.3182i 0.0958264 + 0.419843i
\(605\) 16.9836 + 3.87639i 0.690480 + 0.157598i
\(606\) 59.0603 + 122.640i 2.39916 + 4.98191i
\(607\) 15.3773 12.2630i 0.624147 0.497741i −0.259593 0.965718i \(-0.583589\pi\)
0.883740 + 0.467977i \(0.155017\pi\)
\(608\) −5.89958 −0.239260
\(609\) 14.7223i 0.596576i
\(610\) 23.4818 + 29.4452i 0.950750 + 1.19220i
\(611\) −36.0271 17.3497i −1.45750 0.701895i
\(612\) −123.880 2.19188i −5.00755 0.0886017i
\(613\) 7.71231 + 3.71405i 0.311497 + 0.150009i 0.583100 0.812400i \(-0.301839\pi\)
−0.271603 + 0.962409i \(0.587554\pi\)
\(614\) 14.8627 + 65.1177i 0.599809 + 2.62794i
\(615\) −0.439038 + 0.350121i −0.0177037 + 0.0141182i
\(616\) −26.4169 115.740i −1.06437 4.66330i
\(617\) 8.10221 + 16.8244i 0.326183 + 0.677325i 0.997988 0.0634025i \(-0.0201952\pi\)
−0.671805 + 0.740728i \(0.734481\pi\)
\(618\) −12.5202 9.98455i −0.503637 0.401637i
\(619\) −0.311240 0.248206i −0.0125098 0.00997623i 0.617215 0.786795i \(-0.288261\pi\)
−0.629725 + 0.776818i \(0.716832\pi\)
\(620\) 9.95060 43.5964i 0.399626 1.75087i
\(621\) 47.1488 22.7056i 1.89201 0.911146i
\(622\) 21.4045 44.4469i 0.858243 1.78216i
\(623\) −0.533068 0.121669i −0.0213569 0.00487458i
\(624\) −179.389 40.9444i −7.18131 1.63909i
\(625\) 0.433734 + 0.208875i 0.0173493 + 0.00835500i
\(626\) −27.0065 56.0795i −1.07940 2.24139i
\(627\) −1.21741 + 5.33383i −0.0486187 + 0.213013i
\(628\) −26.6994 + 33.4800i −1.06542 + 1.33600i
\(629\) −0.178563 + 10.0919i −0.00711976 + 0.402391i
\(630\) 57.6434 27.7596i 2.29657 1.10597i
\(631\) 1.33321 + 5.84115i 0.0530741 + 0.232533i 0.994507 0.104667i \(-0.0333775\pi\)
−0.941433 + 0.337199i \(0.890520\pi\)
\(632\) −48.3955 + 38.5941i −1.92507 + 1.53519i
\(633\) −10.3064 45.1554i −0.409643 1.79477i
\(634\) −7.12450 + 14.7942i −0.282950 + 0.587552i
\(635\) −15.1297 12.0655i −0.600402 0.478805i
\(636\) 71.2297 147.910i 2.82444 5.86502i
\(637\) −5.02269 6.29825i −0.199006 0.249546i
\(638\) 21.8613 0.865497
\(639\) 20.2881i 0.802583i
\(640\) −16.6371 + 13.2677i −0.657639 + 0.524450i
\(641\) 5.11079 + 10.6127i 0.201864 + 0.419175i 0.977184 0.212393i \(-0.0681258\pi\)
−0.775320 + 0.631568i \(0.782411\pi\)
\(642\) −28.2922 + 123.956i −1.11661 + 4.89217i
\(643\) 16.0194 3.65632i 0.631743 0.144191i 0.105354 0.994435i \(-0.466403\pi\)
0.526389 + 0.850244i \(0.323545\pi\)
\(644\) −92.6467 −3.65079
\(645\) −1.78521 27.2094i −0.0702928 1.07137i
\(646\) −2.54794 3.31362i −0.100247 0.130373i
\(647\) 8.05692 + 35.2997i 0.316750 + 1.38777i 0.843215 + 0.537576i \(0.180660\pi\)
−0.526465 + 0.850197i \(0.676483\pi\)
\(648\) −14.3476 + 62.8609i −0.563627 + 2.46941i
\(649\) −30.8717 64.1058i −1.21182 2.51637i
\(650\) 25.9603 + 32.5532i 1.01825 + 1.27684i
\(651\) 54.3082i 2.12851i
\(652\) 9.44168i 0.369765i
\(653\) 17.3633 13.8468i 0.679478 0.541865i −0.221808 0.975090i \(-0.571196\pi\)
0.901286 + 0.433225i \(0.142624\pi\)
\(654\) −54.1781 26.0908i −2.11853 1.02023i
\(655\) 2.13261 2.67421i 0.0833281 0.104490i
\(656\) −0.708182 + 1.47056i −0.0276499 + 0.0574156i
\(657\) 4.70505 1.07390i 0.183561 0.0418967i
\(658\) 47.7890 38.1105i 1.86301 1.48570i
\(659\) −1.44149 6.31557i −0.0561524 0.246020i 0.939060 0.343752i \(-0.111698\pi\)
−0.995213 + 0.0977327i \(0.968841\pi\)
\(660\) 44.8666 + 93.1665i 1.74643 + 3.62650i
\(661\) 14.7389 18.4820i 0.573277 0.718867i −0.407673 0.913128i \(-0.633660\pi\)
0.980950 + 0.194261i \(0.0622310\pi\)
\(662\) 20.9215 26.2347i 0.813137 1.01964i
\(663\) −26.2298 57.0261i −1.01868 2.21471i
\(664\) −38.1518 + 18.3729i −1.48058 + 0.713008i
\(665\) 1.39948 + 0.673953i 0.0542694 + 0.0261348i
\(666\) 37.3137 + 8.51660i 1.44587 + 0.330011i
\(667\) 2.31732 10.1528i 0.0897269 0.393119i
\(668\) −1.34859 + 2.80038i −0.0521786 + 0.108350i
\(669\) 6.43536 + 13.3632i 0.248805 + 0.516649i
\(670\) −29.5180 6.73728i −1.14038 0.260284i
\(671\) 30.4742 38.2134i 1.17644 1.47521i
\(672\) 84.4348 105.878i 3.25714 4.08433i
\(673\) 11.4714 + 23.8206i 0.442189 + 0.918215i 0.996314 + 0.0857816i \(0.0273387\pi\)
−0.554125 + 0.832434i \(0.686947\pi\)
\(674\) 71.3075 16.2755i 2.74666 0.626908i
\(675\) 20.2271 16.1306i 0.778540 0.620865i
\(676\) −15.0528 65.9507i −0.578955 2.53657i
\(677\) −21.5497 + 44.7484i −0.828222 + 1.71982i −0.145228 + 0.989398i \(0.546391\pi\)
−0.682995 + 0.730423i \(0.739323\pi\)
\(678\) 11.4923 14.4109i 0.441361 0.553449i
\(679\) 23.9481 + 11.5328i 0.919045 + 0.442589i
\(680\) −46.8192 11.5613i −1.79543 0.443354i
\(681\) −74.2633 −2.84578
\(682\) −80.6430 −3.08798
\(683\) −33.2167 + 26.4894i −1.27100 + 1.01359i −0.272321 + 0.962206i \(0.587791\pi\)
−0.998679 + 0.0513827i \(0.983637\pi\)
\(684\) −10.2766 + 4.94894i −0.392935 + 0.189227i
\(685\) 20.6856 + 4.72134i 0.790355 + 0.180393i
\(686\) −41.3685 + 9.44210i −1.57946 + 0.360501i
\(687\) 42.1912i 1.60970i
\(688\) −38.9893 69.0030i −1.48645 2.63072i
\(689\) 54.9882 2.09488
\(690\) 66.7343 15.2317i 2.54053 0.579860i
\(691\) −11.3808 2.59759i −0.432945 0.0988168i 0.000493946 1.00000i \(-0.499843\pi\)
−0.433439 + 0.901183i \(0.642700\pi\)
\(692\) 48.3391 + 100.377i 1.83758 + 3.81577i
\(693\) −51.7690 64.9163i −1.96654 2.46597i
\(694\) 16.8746i 0.640552i
\(695\) 18.5197 0.702494
\(696\) 26.2358 + 32.8987i 0.994466 + 1.24702i
\(697\) −0.544942 + 0.114276i −0.0206412 + 0.00432851i
\(698\) 0.303978 0.381176i 0.0115057 0.0144277i
\(699\) 59.2971 + 28.5560i 2.24282 + 1.08009i
\(700\) −44.6542 + 10.1920i −1.68777 + 0.385222i
\(701\) 16.5439 + 20.7454i 0.624855 + 0.783544i 0.989019 0.147791i \(-0.0472164\pi\)
−0.364163 + 0.931335i \(0.618645\pi\)
\(702\) −113.121 + 25.8192i −4.26949 + 0.974482i
\(703\) 0.403167 + 0.837185i 0.0152057 + 0.0315750i
\(704\) 65.6700 + 52.3701i 2.47503 + 1.97377i
\(705\) −20.2630 + 25.4090i −0.763149 + 0.956958i
\(706\) −5.28980 + 23.1761i −0.199084 + 0.872245i
\(707\) −21.7614 45.1880i −0.818421 1.69947i
\(708\) 97.3486 202.146i 3.65858 7.59713i
\(709\) 0.291932 + 0.0666315i 0.0109637 + 0.00250240i 0.227999 0.973661i \(-0.426782\pi\)
−0.217036 + 0.976164i \(0.569639\pi\)
\(710\) 2.87871 12.6125i 0.108036 0.473338i
\(711\) −18.7843 + 39.0060i −0.704465 + 1.46284i
\(712\) 1.40802 0.678069i 0.0527679 0.0254117i
\(713\) −8.54824 + 37.4523i −0.320134 + 1.40260i
\(714\) 95.9346 + 1.69743i 3.59026 + 0.0635247i
\(715\) −21.5954 + 27.0798i −0.807622 + 1.01273i
\(716\) 99.2437 47.7932i 3.70891 1.78612i
\(717\) −66.3333 + 15.1401i −2.47726 + 0.565419i
\(718\) 51.3623 + 64.4063i 1.91682 + 2.40362i
\(719\) −29.3508 + 6.69913i −1.09460 + 0.249835i −0.731450 0.681895i \(-0.761156\pi\)
−0.363150 + 0.931731i \(0.618299\pi\)
\(720\) −42.8998 + 89.0823i −1.59878 + 3.31990i
\(721\) 4.61320 + 3.67891i 0.171805 + 0.137010i
\(722\) 45.3745 + 21.8512i 1.68866 + 0.813217i
\(723\) 3.59584 + 4.50904i 0.133731 + 0.167693i
\(724\) 52.1758i 1.93910i
\(725\) 5.14843i 0.191208i
\(726\) 77.4509 61.7650i 2.87447 2.29232i
\(727\) 33.7819 16.2685i 1.25290 0.603366i 0.314614 0.949220i \(-0.398125\pi\)
0.938288 + 0.345854i \(0.112411\pi\)
\(728\) 122.246 + 27.9018i 4.53074 + 1.03411i
\(729\) −6.83104 29.9288i −0.253002 1.10847i
\(730\) 3.07736 0.113898
\(731\) 10.5530 24.8925i 0.390316 0.920681i
\(732\) 154.124 5.69660
\(733\) 1.35105 + 5.91933i 0.0499021 + 0.218636i 0.993731 0.111800i \(-0.0356616\pi\)
−0.943829 + 0.330435i \(0.892804\pi\)
\(734\) 19.1510 + 4.37109i 0.706876 + 0.161340i
\(735\) −5.89891 + 2.84076i −0.217584 + 0.104783i
\(736\) 74.8937 59.7257i 2.76062 2.20152i
\(737\) 39.2930i 1.44738i
\(738\) 2.11130i 0.0777179i
\(739\) 17.9414 + 22.4978i 0.659984 + 0.827593i 0.993341 0.115207i \(-0.0367532\pi\)
−0.333358 + 0.942800i \(0.608182\pi\)
\(740\) 15.8236 + 7.62024i 0.581687 + 0.280126i
\(741\) −4.51783 3.60285i −0.165967 0.132354i
\(742\) −36.4703 + 75.7313i −1.33887 + 2.78018i
\(743\) −15.2146 + 3.47263i −0.558169 + 0.127398i −0.492293 0.870429i \(-0.663841\pi\)
−0.0658756 + 0.997828i \(0.520984\pi\)
\(744\) −96.7799 121.358i −3.54812 4.44920i
\(745\) −16.1240 + 3.68020i −0.590738 + 0.134832i
\(746\) 20.0200 9.64111i 0.732983 0.352986i
\(747\) −18.4656 + 23.1551i −0.675621 + 0.847202i
\(748\) −1.81387 + 102.515i −0.0663216 + 3.74833i
\(749\) 10.4246 45.6730i 0.380905 1.66885i
\(750\) 80.5216 38.7771i 2.94023 1.41594i
\(751\) −2.51059 + 5.21329i −0.0916127 + 0.190236i −0.941740 0.336341i \(-0.890810\pi\)
0.850128 + 0.526577i \(0.176525\pi\)
\(752\) −21.0198 + 92.0937i −0.766513 + 3.35831i
\(753\) 15.5552 + 3.55037i 0.566862 + 0.129383i
\(754\) −10.0184 + 20.8035i −0.364850 + 0.757618i
\(755\) 1.25009 + 2.59585i 0.0454956 + 0.0944726i
\(756\) 28.4022 124.438i 1.03298 4.52577i
\(757\) −18.1189