Properties

Label 273.2.r.b.68.13
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.13
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.20

$q$-expansion

\(f(q)\) \(=\) \(q-0.843135i q^{2} +(0.346738 - 1.69699i) q^{3} +1.28912 q^{4} +(-1.06280 + 1.84082i) q^{5} +(-1.43079 - 0.292347i) q^{6} +(2.34470 - 1.22572i) q^{7} -2.77318i q^{8} +(-2.75955 - 1.17682i) q^{9} +O(q^{10})\) \(q-0.843135i q^{2} +(0.346738 - 1.69699i) q^{3} +1.28912 q^{4} +(-1.06280 + 1.84082i) q^{5} +(-1.43079 - 0.292347i) q^{6} +(2.34470 - 1.22572i) q^{7} -2.77318i q^{8} +(-2.75955 - 1.17682i) q^{9} +(1.55206 + 0.896082i) q^{10} +(-0.855509 - 0.493928i) q^{11} +(0.446987 - 2.18763i) q^{12} +(3.08300 - 1.86952i) q^{13} +(-1.03345 - 1.97690i) q^{14} +(2.75534 + 2.44184i) q^{15} +0.240083 q^{16} +1.84105 q^{17} +(-0.992218 + 2.32667i) q^{18} +(-6.19875 + 3.57885i) q^{19} +(-1.37008 + 2.37304i) q^{20} +(-1.26704 - 4.40393i) q^{21} +(-0.416448 + 0.721310i) q^{22} -1.62700i q^{23} +(-4.70605 - 0.961564i) q^{24} +(0.240923 + 0.417291i) q^{25} +(-1.57626 - 2.59939i) q^{26} +(-2.95389 + 4.27487i) q^{27} +(3.02260 - 1.58010i) q^{28} +(-0.488355 + 0.281952i) q^{29} +(2.05880 - 2.32312i) q^{30} +(-4.23375 + 2.44435i) q^{31} -5.74877i q^{32} +(-1.13483 + 1.28053i) q^{33} -1.55226i q^{34} +(-0.235611 + 5.61886i) q^{35} +(-3.55739 - 1.51707i) q^{36} +3.29157 q^{37} +(3.01745 + 5.22638i) q^{38} +(-2.10357 - 5.88005i) q^{39} +(5.10491 + 2.94732i) q^{40} +(4.93559 + 8.54870i) q^{41} +(-3.71311 + 1.06828i) q^{42} +(-0.214038 + 0.370726i) q^{43} +(-1.10286 - 0.636734i) q^{44} +(5.09915 - 3.82910i) q^{45} -1.37179 q^{46} +(-6.40449 + 11.0929i) q^{47} +(0.0832459 - 0.407419i) q^{48} +(3.99522 - 5.74789i) q^{49} +(0.351833 - 0.203131i) q^{50} +(0.638362 - 3.12424i) q^{51} +(3.97436 - 2.41004i) q^{52} +(6.59657 - 3.80853i) q^{53} +(3.60430 + 2.49053i) q^{54} +(1.81847 - 1.04989i) q^{55} +(-3.39914 - 6.50226i) q^{56} +(3.92393 + 11.7601i) q^{57} +(0.237723 + 0.411749i) q^{58} +11.9264 q^{59} +(3.55197 + 3.14783i) q^{60} +(1.92009 - 1.10857i) q^{61} +(2.06092 + 3.56962i) q^{62} +(-7.91276 + 0.623142i) q^{63} -4.36683 q^{64} +(0.164850 + 7.66217i) q^{65} +(1.07966 + 0.956814i) q^{66} +(1.22692 - 2.12509i) q^{67} +2.37334 q^{68} +(-2.76101 - 0.564144i) q^{69} +(4.73746 + 0.198652i) q^{70} +(-2.48976 - 1.43746i) q^{71} +(-3.26353 + 7.65271i) q^{72} +(-8.31343 + 4.79976i) q^{73} -2.77524i q^{74} +(0.791675 - 0.264153i) q^{75} +(-7.99095 + 4.61358i) q^{76} +(-2.61133 - 0.109499i) q^{77} +(-4.95768 + 1.77359i) q^{78} +(-7.27556 + 12.6016i) q^{79} +(-0.255160 + 0.441950i) q^{80} +(6.23019 + 6.49498i) q^{81} +(7.20771 - 4.16137i) q^{82} -14.4620 q^{83} +(-1.63337 - 5.67721i) q^{84} +(-1.95666 + 3.38904i) q^{85} +(0.312572 + 0.180463i) q^{86} +(0.309138 + 0.926496i) q^{87} +(-1.36975 + 2.37248i) q^{88} +5.18724 q^{89} +(-3.22845 - 4.29927i) q^{90} +(4.93719 - 8.16236i) q^{91} -2.09741i q^{92} +(2.68004 + 8.03217i) q^{93} +(9.35281 + 5.39985i) q^{94} -15.2144i q^{95} +(-9.75561 - 1.99332i) q^{96} +(-0.172790 - 0.0997601i) q^{97} +(-4.84625 - 3.36851i) q^{98} +(1.77955 + 2.36980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.843135i 0.596187i −0.954537 0.298093i \(-0.903649\pi\)
0.954537 0.298093i \(-0.0963507\pi\)
\(3\) 0.346738 1.69699i 0.200189 0.979757i
\(4\) 1.28912 0.644561
\(5\) −1.06280 + 1.84082i −0.475297 + 0.823239i −0.999600 0.0282929i \(-0.990993\pi\)
0.524302 + 0.851532i \(0.324326\pi\)
\(6\) −1.43079 0.292347i −0.584118 0.119350i
\(7\) 2.34470 1.22572i 0.886213 0.463278i
\(8\) 2.77318i 0.980466i
\(9\) −2.75955 1.17682i −0.919849 0.392273i
\(10\) 1.55206 + 0.896082i 0.490804 + 0.283366i
\(11\) −0.855509 0.493928i −0.257946 0.148925i 0.365451 0.930830i \(-0.380915\pi\)
−0.623397 + 0.781905i \(0.714248\pi\)
\(12\) 0.446987 2.18763i 0.129034 0.631514i
\(13\) 3.08300 1.86952i 0.855070 0.518512i
\(14\) −1.03345 1.97690i −0.276200 0.528348i
\(15\) 2.75534 + 2.44184i 0.711425 + 0.630480i
\(16\) 0.240083 0.0600208
\(17\) 1.84105 0.446520 0.223260 0.974759i \(-0.428330\pi\)
0.223260 + 0.974759i \(0.428330\pi\)
\(18\) −0.992218 + 2.32667i −0.233868 + 0.548402i
\(19\) −6.19875 + 3.57885i −1.42209 + 0.821044i −0.996477 0.0838608i \(-0.973275\pi\)
−0.425613 + 0.904905i \(0.639942\pi\)
\(20\) −1.37008 + 2.37304i −0.306358 + 0.530628i
\(21\) −1.26704 4.40393i −0.276490 0.961017i
\(22\) −0.416448 + 0.721310i −0.0887871 + 0.153784i
\(23\) 1.62700i 0.339254i −0.985508 0.169627i \(-0.945744\pi\)
0.985508 0.169627i \(-0.0542563\pi\)
\(24\) −4.70605 0.961564i −0.960618 0.196278i
\(25\) 0.240923 + 0.417291i 0.0481846 + 0.0834582i
\(26\) −1.57626 2.59939i −0.309130 0.509781i
\(27\) −2.95389 + 4.27487i −0.568476 + 0.822700i
\(28\) 3.02260 1.58010i 0.571219 0.298611i
\(29\) −0.488355 + 0.281952i −0.0906852 + 0.0523571i −0.544657 0.838659i \(-0.683340\pi\)
0.453972 + 0.891016i \(0.350007\pi\)
\(30\) 2.05880 2.32312i 0.375884 0.424142i
\(31\) −4.23375 + 2.44435i −0.760403 + 0.439019i −0.829440 0.558595i \(-0.811341\pi\)
0.0690374 + 0.997614i \(0.478007\pi\)
\(32\) 5.74877i 1.01625i
\(33\) −1.13483 + 1.28053i −0.197548 + 0.222911i
\(34\) 1.55226i 0.266210i
\(35\) −0.235611 + 5.61886i −0.0398256 + 0.949760i
\(36\) −3.55739 1.51707i −0.592899 0.252844i
\(37\) 3.29157 0.541130 0.270565 0.962702i \(-0.412789\pi\)
0.270565 + 0.962702i \(0.412789\pi\)
\(38\) 3.01745 + 5.22638i 0.489496 + 0.847831i
\(39\) −2.10357 5.88005i −0.336841 0.941562i
\(40\) 5.10491 + 2.94732i 0.807158 + 0.466013i
\(41\) 4.93559 + 8.54870i 0.770810 + 1.33508i 0.937120 + 0.349008i \(0.113482\pi\)
−0.166310 + 0.986074i \(0.553185\pi\)
\(42\) −3.71311 + 1.06828i −0.572945 + 0.164840i
\(43\) −0.214038 + 0.370726i −0.0326406 + 0.0565351i −0.881884 0.471466i \(-0.843725\pi\)
0.849244 + 0.528001i \(0.177058\pi\)
\(44\) −1.10286 0.636734i −0.166262 0.0959913i
\(45\) 5.09915 3.82910i 0.760137 0.570809i
\(46\) −1.37179 −0.202259
\(47\) −6.40449 + 11.0929i −0.934190 + 1.61807i −0.158119 + 0.987420i \(0.550543\pi\)
−0.776071 + 0.630645i \(0.782790\pi\)
\(48\) 0.0832459 0.407419i 0.0120155 0.0588059i
\(49\) 3.99522 5.74789i 0.570746 0.821127i
\(50\) 0.351833 0.203131i 0.0497567 0.0287270i
\(51\) 0.638362 3.12424i 0.0893885 0.437482i
\(52\) 3.97436 2.41004i 0.551145 0.334213i
\(53\) 6.59657 3.80853i 0.906109 0.523142i 0.0269320 0.999637i \(-0.491426\pi\)
0.879177 + 0.476495i \(0.158093\pi\)
\(54\) 3.60430 + 2.49053i 0.490483 + 0.338918i
\(55\) 1.81847 1.04989i 0.245202 0.141567i
\(56\) −3.39914 6.50226i −0.454229 0.868901i
\(57\) 3.92393 + 11.7601i 0.519737 + 1.55767i
\(58\) 0.237723 + 0.411749i 0.0312146 + 0.0540653i
\(59\) 11.9264 1.55268 0.776342 0.630312i \(-0.217073\pi\)
0.776342 + 0.630312i \(0.217073\pi\)
\(60\) 3.55197 + 3.14783i 0.458557 + 0.406383i
\(61\) 1.92009 1.10857i 0.245843 0.141937i −0.372016 0.928226i \(-0.621333\pi\)
0.617859 + 0.786289i \(0.288000\pi\)
\(62\) 2.06092 + 3.56962i 0.261737 + 0.453342i
\(63\) −7.91276 + 0.623142i −0.996913 + 0.0785085i
\(64\) −4.36683 −0.545853
\(65\) 0.164850 + 7.66217i 0.0204471 + 0.950375i
\(66\) 1.07966 + 0.956814i 0.132897 + 0.117776i
\(67\) 1.22692 2.12509i 0.149892 0.259621i −0.781295 0.624162i \(-0.785441\pi\)
0.931188 + 0.364540i \(0.118774\pi\)
\(68\) 2.37334 0.287810
\(69\) −2.76101 0.564144i −0.332387 0.0679149i
\(70\) 4.73746 + 0.198652i 0.566234 + 0.0237435i
\(71\) −2.48976 1.43746i −0.295480 0.170596i 0.344930 0.938628i \(-0.387903\pi\)
−0.640411 + 0.768033i \(0.721236\pi\)
\(72\) −3.26353 + 7.65271i −0.384611 + 0.901880i
\(73\) −8.31343 + 4.79976i −0.973013 + 0.561769i −0.900154 0.435573i \(-0.856546\pi\)
−0.0728598 + 0.997342i \(0.523213\pi\)
\(74\) 2.77524i 0.322615i
\(75\) 0.791675 0.264153i 0.0914148 0.0305018i
\(76\) −7.99095 + 4.61358i −0.916625 + 0.529214i
\(77\) −2.61133 0.109499i −0.297588 0.0124785i
\(78\) −4.95768 + 1.77359i −0.561347 + 0.200820i
\(79\) −7.27556 + 12.6016i −0.818565 + 1.41780i 0.0881750 + 0.996105i \(0.471897\pi\)
−0.906740 + 0.421691i \(0.861437\pi\)
\(80\) −0.255160 + 0.441950i −0.0285278 + 0.0494115i
\(81\) 6.23019 + 6.49498i 0.692243 + 0.721664i
\(82\) 7.20771 4.16137i 0.795958 0.459547i
\(83\) −14.4620 −1.58741 −0.793707 0.608301i \(-0.791851\pi\)
−0.793707 + 0.608301i \(0.791851\pi\)
\(84\) −1.63337 5.67721i −0.178215 0.619434i
\(85\) −1.95666 + 3.38904i −0.212230 + 0.367593i
\(86\) 0.312572 + 0.180463i 0.0337055 + 0.0194599i
\(87\) 0.309138 + 0.926496i 0.0331431 + 0.0993308i
\(88\) −1.36975 + 2.37248i −0.146016 + 0.252907i
\(89\) 5.18724 0.549846 0.274923 0.961466i \(-0.411348\pi\)
0.274923 + 0.961466i \(0.411348\pi\)
\(90\) −3.22845 4.29927i −0.340309 0.453183i
\(91\) 4.93719 8.16236i 0.517558 0.855648i
\(92\) 2.09741i 0.218670i
\(93\) 2.68004 + 8.03217i 0.277908 + 0.832897i
\(94\) 9.35281 + 5.39985i 0.964669 + 0.556952i
\(95\) 15.2144i 1.56096i
\(96\) −9.75561 1.99332i −0.995678 0.203442i
\(97\) −0.172790 0.0997601i −0.0175441 0.0101291i 0.491202 0.871046i \(-0.336558\pi\)
−0.508746 + 0.860916i \(0.669891\pi\)
\(98\) −4.84625 3.36851i −0.489545 0.340271i
\(99\) 1.77955 + 2.36980i 0.178852 + 0.238174i
\(100\) 0.310579 + 0.537939i 0.0310579 + 0.0537939i
\(101\) 3.00678 5.20790i 0.299186 0.518205i −0.676764 0.736200i \(-0.736618\pi\)
0.975950 + 0.217995i \(0.0699516\pi\)
\(102\) −2.63416 0.538225i −0.260821 0.0532922i
\(103\) 8.42274 + 4.86287i 0.829917 + 0.479153i 0.853824 0.520561i \(-0.174277\pi\)
−0.0239072 + 0.999714i \(0.507611\pi\)
\(104\) −5.18451 8.54970i −0.508384 0.838367i
\(105\) 9.45345 + 2.34810i 0.922562 + 0.229151i
\(106\) −3.21111 5.56181i −0.311891 0.540210i
\(107\) 0.614704i 0.0594257i 0.999558 + 0.0297128i \(0.00945928\pi\)
−0.999558 + 0.0297128i \(0.990541\pi\)
\(108\) −3.80793 + 5.51084i −0.366418 + 0.530280i
\(109\) −5.78829 10.0256i −0.554418 0.960280i −0.997949 0.0640208i \(-0.979608\pi\)
0.443531 0.896259i \(-0.353726\pi\)
\(110\) −0.885200 1.53321i −0.0844005 0.146186i
\(111\) 1.14131 5.58575i 0.108328 0.530176i
\(112\) 0.562923 0.294275i 0.0531912 0.0278064i
\(113\) 6.10760 + 3.52622i 0.574554 + 0.331719i 0.758966 0.651130i \(-0.225705\pi\)
−0.184412 + 0.982849i \(0.559038\pi\)
\(114\) 9.91538 3.30840i 0.928661 0.309860i
\(115\) 2.99502 + 1.72918i 0.279287 + 0.161247i
\(116\) −0.629549 + 0.363470i −0.0584522 + 0.0337474i
\(117\) −10.7078 + 1.53090i −0.989934 + 0.141532i
\(118\) 10.0556i 0.925690i
\(119\) 4.31671 2.25661i 0.395712 0.206863i
\(120\) 6.77164 7.64104i 0.618164 0.697528i
\(121\) −5.01207 8.68116i −0.455643 0.789196i
\(122\) −0.934672 1.61890i −0.0846212 0.146568i
\(123\) 16.2184 5.41149i 1.46236 0.487938i
\(124\) −5.45782 + 3.15107i −0.490127 + 0.282975i
\(125\) −11.6522 −1.04220
\(126\) 0.525393 + 6.67152i 0.0468057 + 0.594347i
\(127\) −5.43519 9.41402i −0.482295 0.835359i 0.517499 0.855684i \(-0.326863\pi\)
−0.999793 + 0.0203250i \(0.993530\pi\)
\(128\) 7.81572i 0.690819i
\(129\) 0.554902 + 0.491766i 0.0488564 + 0.0432975i
\(130\) 6.46024 0.138990i 0.566601 0.0121903i
\(131\) 8.66948 15.0160i 0.757456 1.31195i −0.186688 0.982419i \(-0.559775\pi\)
0.944144 0.329533i \(-0.106891\pi\)
\(132\) −1.46293 + 1.65076i −0.127332 + 0.143680i
\(133\) −10.1475 + 15.9893i −0.879903 + 1.38644i
\(134\) −1.79174 1.03446i −0.154783 0.0893639i
\(135\) −4.72988 9.98090i −0.407083 0.859019i
\(136\) 5.10556i 0.437798i
\(137\) 12.7597i 1.09014i 0.838392 + 0.545068i \(0.183496\pi\)
−0.838392 + 0.545068i \(0.816504\pi\)
\(138\) −0.475650 + 2.32791i −0.0404900 + 0.198164i
\(139\) −13.6009 7.85246i −1.15361 0.666037i −0.203846 0.979003i \(-0.565344\pi\)
−0.949764 + 0.312966i \(0.898678\pi\)
\(140\) −0.303732 + 7.24340i −0.0256700 + 0.612179i
\(141\) 16.6039 + 14.7147i 1.39830 + 1.23920i
\(142\) −1.21198 + 2.09921i −0.101707 + 0.176161i
\(143\) −3.56094 + 0.0766127i −0.297781 + 0.00640668i
\(144\) −0.662521 0.282535i −0.0552101 0.0235446i
\(145\) 1.19863i 0.0995408i
\(146\) 4.04685 + 7.00935i 0.334920 + 0.580098i
\(147\) −8.36881 8.77286i −0.690248 0.723573i
\(148\) 4.24323 0.348792
\(149\) −6.51483 + 3.76134i −0.533715 + 0.308141i −0.742528 0.669815i \(-0.766373\pi\)
0.208813 + 0.977956i \(0.433040\pi\)
\(150\) −0.222717 0.667490i −0.0181848 0.0545003i
\(151\) 1.77190 + 3.06902i 0.144195 + 0.249753i 0.929072 0.369898i \(-0.120607\pi\)
−0.784877 + 0.619651i \(0.787274\pi\)
\(152\) 9.92478 + 17.1902i 0.805006 + 1.39431i
\(153\) −5.08047 2.16659i −0.410731 0.175158i
\(154\) −0.0923223 + 2.20170i −0.00743954 + 0.177418i
\(155\) 10.3914i 0.834658i
\(156\) −2.71176 7.58011i −0.217114 0.606894i
\(157\) −12.7221 + 7.34511i −1.01533 + 0.586204i −0.912749 0.408521i \(-0.866045\pi\)
−0.102585 + 0.994724i \(0.532711\pi\)
\(158\) 10.6249 + 6.13428i 0.845271 + 0.488017i
\(159\) −4.17576 12.5149i −0.331159 0.992495i
\(160\) 10.5825 + 6.10978i 0.836616 + 0.483021i
\(161\) −1.99425 3.81484i −0.157169 0.300651i
\(162\) 5.47615 5.25289i 0.430247 0.412706i
\(163\) −0.446786 0.773855i −0.0349949 0.0606130i 0.847997 0.530000i \(-0.177808\pi\)
−0.882992 + 0.469387i \(0.844475\pi\)
\(164\) 6.36258 + 11.0203i 0.496834 + 0.860542i
\(165\) −1.15112 3.44995i −0.0896149 0.268578i
\(166\) 12.1934i 0.946395i
\(167\) −2.80871 4.86483i −0.217345 0.376452i 0.736651 0.676274i \(-0.236406\pi\)
−0.953995 + 0.299821i \(0.903073\pi\)
\(168\) −12.2129 + 3.51372i −0.942244 + 0.271089i
\(169\) 6.00977 11.5275i 0.462290 0.886729i
\(170\) 2.85742 + 1.64973i 0.219154 + 0.126529i
\(171\) 21.3174 2.58119i 1.63018 0.197388i
\(172\) −0.275922 + 0.477911i −0.0210388 + 0.0364404i
\(173\) −7.20865 12.4858i −0.548064 0.949274i −0.998407 0.0564189i \(-0.982032\pi\)
0.450343 0.892855i \(-0.351302\pi\)
\(174\) 0.781161 0.260645i 0.0592197 0.0197595i
\(175\) 1.07637 + 0.683117i 0.0813662 + 0.0516388i
\(176\) −0.205393 0.118584i −0.0154821 0.00893860i
\(177\) 4.13533 20.2390i 0.310830 1.52125i
\(178\) 4.37355i 0.327811i
\(179\) −19.3121 11.1499i −1.44346 0.833380i −0.445378 0.895342i \(-0.646931\pi\)
−0.998079 + 0.0619621i \(0.980264\pi\)
\(180\) 6.57343 4.93619i 0.489955 0.367922i
\(181\) 6.26949i 0.466007i 0.972476 + 0.233004i \(0.0748554\pi\)
−0.972476 + 0.233004i \(0.925145\pi\)
\(182\) −6.88197 4.16272i −0.510126 0.308561i
\(183\) −1.21546 3.64276i −0.0898492 0.269281i
\(184\) −4.51197 −0.332627
\(185\) −3.49827 + 6.05918i −0.257198 + 0.445480i
\(186\) 6.77221 2.25964i 0.496562 0.165685i
\(187\) −1.57504 0.909347i −0.115178 0.0664980i
\(188\) −8.25617 + 14.3001i −0.602143 + 1.04294i
\(189\) −1.68618 + 13.6439i −0.122652 + 0.992450i
\(190\) −12.8278 −0.930624
\(191\) 4.27245 2.46670i 0.309143 0.178484i −0.337400 0.941361i \(-0.609547\pi\)
0.646543 + 0.762877i \(0.276214\pi\)
\(192\) −1.51414 + 7.41046i −0.109274 + 0.534804i
\(193\) 2.69080 4.66060i 0.193688 0.335477i −0.752782 0.658270i \(-0.771288\pi\)
0.946470 + 0.322793i \(0.104622\pi\)
\(194\) −0.0841113 + 0.145685i −0.00603884 + 0.0104596i
\(195\) 13.0598 + 2.37701i 0.935230 + 0.170221i
\(196\) 5.15033 7.40973i 0.367881 0.529267i
\(197\) −1.73936 + 1.00422i −0.123924 + 0.0715477i −0.560681 0.828032i \(-0.689460\pi\)
0.436756 + 0.899580i \(0.356127\pi\)
\(198\) 1.99806 1.50040i 0.141996 0.106629i
\(199\) 1.88370i 0.133532i 0.997769 + 0.0667659i \(0.0212681\pi\)
−0.997769 + 0.0667659i \(0.978732\pi\)
\(200\) 1.15722 0.668122i 0.0818279 0.0472434i
\(201\) −3.18084 2.81892i −0.224359 0.198832i
\(202\) −4.39096 2.53512i −0.308947 0.178371i
\(203\) −0.799451 + 1.25968i −0.0561104 + 0.0884120i
\(204\) 0.822926 4.02753i 0.0576164 0.281984i
\(205\) −20.9821 −1.46546
\(206\) 4.10006 7.10151i 0.285665 0.494786i
\(207\) −1.91469 + 4.48980i −0.133080 + 0.312062i
\(208\) 0.740177 0.448841i 0.0513220 0.0311215i
\(209\) 7.07078 0.489096
\(210\) 1.97977 7.97054i 0.136617 0.550019i
\(211\) 3.68771 + 6.38731i 0.253873 + 0.439720i 0.964589 0.263759i \(-0.0849623\pi\)
−0.710716 + 0.703479i \(0.751629\pi\)
\(212\) 8.50380 4.90967i 0.584043 0.337197i
\(213\) −3.30266 + 3.72668i −0.226294 + 0.255348i
\(214\) 0.518279 0.0354288
\(215\) −0.454959 0.788012i −0.0310280 0.0537420i
\(216\) 11.8550 + 8.19165i 0.806629 + 0.557371i
\(217\) −6.93076 + 10.9207i −0.470491 + 0.741343i
\(218\) −8.45295 + 4.88031i −0.572506 + 0.330537i
\(219\) 5.26256 + 15.7721i 0.355611 + 1.06578i
\(220\) 2.34422 1.35344i 0.158048 0.0912488i
\(221\) 5.67596 3.44189i 0.381806 0.231526i
\(222\) −4.70955 0.962279i −0.316084 0.0645839i
\(223\) −1.19481 + 0.689825i −0.0800106 + 0.0461941i −0.539472 0.842004i \(-0.681376\pi\)
0.459461 + 0.888198i \(0.348043\pi\)
\(224\) −7.04639 13.4791i −0.470806 0.900613i
\(225\) −0.173762 1.43506i −0.0115841 0.0956705i
\(226\) 2.97308 5.14953i 0.197767 0.342542i
\(227\) 2.98238 0.197947 0.0989736 0.995090i \(-0.468444\pi\)
0.0989736 + 0.995090i \(0.468444\pi\)
\(228\) 5.05843 + 15.1603i 0.335003 + 1.00401i
\(229\) 10.3410 + 5.97040i 0.683355 + 0.394535i 0.801118 0.598506i \(-0.204239\pi\)
−0.117763 + 0.993042i \(0.537572\pi\)
\(230\) 1.45793 2.52521i 0.0961331 0.166507i
\(231\) −1.09126 + 4.39343i −0.0717999 + 0.289066i
\(232\) 0.781902 + 1.35429i 0.0513343 + 0.0889137i
\(233\) 14.3523 + 8.28630i 0.940250 + 0.542854i 0.890039 0.455885i \(-0.150677\pi\)
0.0502115 + 0.998739i \(0.484010\pi\)
\(234\) 1.29076 + 9.02810i 0.0843793 + 0.590185i
\(235\) −13.6133 23.5790i −0.888037 1.53812i
\(236\) 15.3746 1.00080
\(237\) 18.8621 + 16.7160i 1.22523 + 1.08582i
\(238\) −1.90263 3.63957i −0.123329 0.235918i
\(239\) 29.6350i 1.91693i 0.285211 + 0.958465i \(0.407936\pi\)
−0.285211 + 0.958465i \(0.592064\pi\)
\(240\) 0.661511 + 0.586245i 0.0427004 + 0.0378419i
\(241\) 18.1245i 1.16750i −0.811933 0.583750i \(-0.801585\pi\)
0.811933 0.583750i \(-0.198415\pi\)
\(242\) −7.31939 + 4.22585i −0.470508 + 0.271648i
\(243\) 13.1821 8.32051i 0.845635 0.533761i
\(244\) 2.47524 1.42908i 0.158461 0.0914874i
\(245\) 6.33471 + 13.4633i 0.404710 + 0.860140i
\(246\) −4.56262 13.6743i −0.290902 0.871842i
\(247\) −12.4200 + 22.6223i −0.790266 + 1.43942i
\(248\) 6.77862 + 11.7409i 0.430443 + 0.745549i
\(249\) −5.01453 + 24.5419i −0.317783 + 1.55528i
\(250\) 9.82437i 0.621348i
\(251\) 3.79901 6.58007i 0.239791 0.415330i −0.720863 0.693077i \(-0.756254\pi\)
0.960654 + 0.277747i \(0.0895877\pi\)
\(252\) −10.2005 + 0.803307i −0.642572 + 0.0506036i
\(253\) −0.803624 + 1.39192i −0.0505234 + 0.0875091i
\(254\) −7.93729 + 4.58260i −0.498030 + 0.287538i
\(255\) 5.07272 + 4.49555i 0.317666 + 0.281522i
\(256\) −15.3234 −0.957710
\(257\) −23.7009 −1.47842 −0.739212 0.673473i \(-0.764802\pi\)
−0.739212 + 0.673473i \(0.764802\pi\)
\(258\) 0.414625 0.467858i 0.0258134 0.0291275i
\(259\) 7.71773 4.03454i 0.479556 0.250694i
\(260\) 0.212511 + 9.87748i 0.0131794 + 0.612575i
\(261\) 1.67944 0.203353i 0.103955 0.0125872i
\(262\) −12.6605 7.30954i −0.782168 0.451585i
\(263\) 15.2086 + 8.78068i 0.937801 + 0.541440i 0.889270 0.457382i \(-0.151213\pi\)
0.0485307 + 0.998822i \(0.484546\pi\)
\(264\) 3.55112 + 3.14708i 0.218557 + 0.193689i
\(265\) 16.1908i 0.994593i
\(266\) 13.4811 + 8.55574i 0.826579 + 0.524586i
\(267\) 1.79861 8.80269i 0.110073 0.538716i
\(268\) 1.58165 2.73951i 0.0966149 0.167342i
\(269\) −23.7413 −1.44753 −0.723766 0.690045i \(-0.757591\pi\)
−0.723766 + 0.690045i \(0.757591\pi\)
\(270\) −8.41525 + 3.98793i −0.512136 + 0.242698i
\(271\) 30.3088i 1.84113i −0.390590 0.920565i \(-0.627729\pi\)
0.390590 0.920565i \(-0.372271\pi\)
\(272\) 0.442006 0.0268005
\(273\) −12.1395 11.2086i −0.734718 0.678373i
\(274\) 10.7582 0.649925
\(275\) 0.475995i 0.0287036i
\(276\) −3.55928 0.727251i −0.214244 0.0437753i
\(277\) 17.5811 1.05634 0.528172 0.849137i \(-0.322878\pi\)
0.528172 + 0.849137i \(0.322878\pi\)
\(278\) −6.62069 + 11.4674i −0.397083 + 0.687767i
\(279\) 14.5598 1.76295i 0.871671 0.105545i
\(280\) 15.5821 + 0.653392i 0.931207 + 0.0390476i
\(281\) 27.1501i 1.61964i −0.586680 0.809819i \(-0.699565\pi\)
0.586680 0.809819i \(-0.300435\pi\)
\(282\) 12.4065 13.9993i 0.738794 0.833646i
\(283\) 6.20370 + 3.58171i 0.368772 + 0.212910i 0.672922 0.739714i \(-0.265039\pi\)
−0.304150 + 0.952624i \(0.598372\pi\)
\(284\) −3.20961 1.85307i −0.190455 0.109959i
\(285\) −25.8186 5.27539i −1.52936 0.312487i
\(286\) 0.0645949 + 3.00236i 0.00381958 + 0.177533i
\(287\) 22.0508 + 13.9945i 1.30162 + 0.826067i
\(288\) −6.76527 + 15.8640i −0.398647 + 0.934796i
\(289\) −13.6105 −0.800619
\(290\) −1.01061 −0.0593449
\(291\) −0.229204 + 0.258631i −0.0134362 + 0.0151612i
\(292\) −10.7170 + 6.18748i −0.627167 + 0.362095i
\(293\) 11.3968 19.7398i 0.665805 1.15321i −0.313261 0.949667i \(-0.601421\pi\)
0.979066 0.203542i \(-0.0652452\pi\)
\(294\) −7.39671 + 7.05604i −0.431385 + 0.411516i
\(295\) −12.6753 + 21.9543i −0.737987 + 1.27823i
\(296\) 9.12809i 0.530560i
\(297\) 4.63856 2.19818i 0.269156 0.127551i
\(298\) 3.17132 + 5.49288i 0.183709 + 0.318194i
\(299\) −3.04172 5.01606i −0.175907 0.290086i
\(300\) 1.02057 0.340526i 0.0589225 0.0196603i
\(301\) −0.0474501 + 1.13159i −0.00273498 + 0.0652238i
\(302\) 2.58760 1.49395i 0.148899 0.0859671i
\(303\) −7.79519 6.90825i −0.447822 0.396869i
\(304\) −1.48822 + 0.859222i −0.0853551 + 0.0492798i
\(305\) 4.71273i 0.269850i
\(306\) −1.82672 + 4.28352i −0.104427 + 0.244873i
\(307\) 24.9738i 1.42533i −0.701504 0.712665i \(-0.747488\pi\)
0.701504 0.712665i \(-0.252512\pi\)
\(308\) −3.36632 0.141157i −0.191814 0.00804319i
\(309\) 11.1727 12.6072i 0.635594 0.717196i
\(310\) −8.76137 −0.497612
\(311\) −9.00463 15.5965i −0.510606 0.884395i −0.999924 0.0122902i \(-0.996088\pi\)
0.489319 0.872105i \(-0.337246\pi\)
\(312\) −16.3064 + 5.83357i −0.923169 + 0.330261i
\(313\) 17.5542 + 10.1349i 0.992223 + 0.572860i 0.905938 0.423410i \(-0.139167\pi\)
0.0862849 + 0.996271i \(0.472500\pi\)
\(314\) 6.19292 + 10.7265i 0.349487 + 0.605329i
\(315\) 7.26256 15.2282i 0.409199 0.858013i
\(316\) −9.37909 + 16.2451i −0.527615 + 0.913856i
\(317\) 8.12697 + 4.69211i 0.456456 + 0.263535i 0.710553 0.703644i \(-0.248445\pi\)
−0.254097 + 0.967179i \(0.581778\pi\)
\(318\) −10.5517 + 3.52073i −0.591712 + 0.197433i
\(319\) 0.557056 0.0311891
\(320\) 4.64105 8.03854i 0.259443 0.449368i
\(321\) 1.04315 + 0.213141i 0.0582228 + 0.0118964i
\(322\) −3.21642 + 1.68142i −0.179244 + 0.0937021i
\(323\) −11.4122 + 6.58884i −0.634993 + 0.366613i
\(324\) 8.03148 + 8.37282i 0.446193 + 0.465157i
\(325\) 1.52290 + 0.836097i 0.0844753 + 0.0463783i
\(326\) −0.652465 + 0.376701i −0.0361367 + 0.0208635i
\(327\) −19.0204 + 6.34641i −1.05183 + 0.350957i
\(328\) 23.7070 13.6873i 1.30900 0.755753i
\(329\) −1.41981 + 33.8596i −0.0782766 + 1.86674i
\(330\) −2.90878 + 0.970553i −0.160123 + 0.0534272i
\(331\) 9.40426 + 16.2887i 0.516905 + 0.895306i 0.999807 + 0.0196317i \(0.00624935\pi\)
−0.482902 + 0.875674i \(0.660417\pi\)
\(332\) −18.6433 −1.02319
\(333\) −9.08323 3.87358i −0.497758 0.212271i
\(334\) −4.10171 + 2.36812i −0.224436 + 0.129578i
\(335\) 2.60794 + 4.51709i 0.142487 + 0.246795i
\(336\) −0.304195 1.05731i −0.0165952 0.0576810i
\(337\) 20.7828 1.13211 0.566056 0.824367i \(-0.308469\pi\)
0.566056 + 0.824367i \(0.308469\pi\)
\(338\) −9.71922 5.06705i −0.528656 0.275611i
\(339\) 8.10170 9.14185i 0.440024 0.496517i
\(340\) −2.52238 + 4.36889i −0.136795 + 0.236936i
\(341\) 4.82934 0.261524
\(342\) −2.17629 17.9734i −0.117680 0.971893i
\(343\) 2.32229 18.3741i 0.125392 0.992107i
\(344\) 1.02809 + 0.593566i 0.0554307 + 0.0320030i
\(345\) 3.97288 4.48295i 0.213893 0.241354i
\(346\) −10.5272 + 6.07787i −0.565945 + 0.326748i
\(347\) 2.62990i 0.141180i 0.997505 + 0.0705902i \(0.0224883\pi\)
−0.997505 + 0.0705902i \(0.977512\pi\)
\(348\) 0.398517 + 1.19437i 0.0213628 + 0.0640248i
\(349\) 2.04081 1.17826i 0.109242 0.0630710i −0.444383 0.895837i \(-0.646577\pi\)
0.553626 + 0.832766i \(0.313244\pi\)
\(350\) 0.575960 0.907529i 0.0307864 0.0485095i
\(351\) −1.11487 + 18.7018i −0.0595072 + 0.998228i
\(352\) −2.83948 + 4.91813i −0.151345 + 0.262137i
\(353\) 11.3836 19.7170i 0.605888 1.04943i −0.386023 0.922489i \(-0.626151\pi\)
0.991911 0.126939i \(-0.0405152\pi\)
\(354\) −17.0642 3.48664i −0.906951 0.185313i
\(355\) 5.29222 3.05547i 0.280882 0.162167i
\(356\) 6.68699 0.354410
\(357\) −2.33268 8.10786i −0.123459 0.429114i
\(358\) −9.40085 + 16.2827i −0.496850 + 0.860570i
\(359\) −5.83980 3.37161i −0.308213 0.177947i 0.337914 0.941177i \(-0.390279\pi\)
−0.646126 + 0.763230i \(0.723612\pi\)
\(360\) −10.6188 14.1408i −0.559659 0.745288i
\(361\) 16.1163 27.9143i 0.848228 1.46917i
\(362\) 5.28602 0.277827
\(363\) −16.4697 + 5.49535i −0.864436 + 0.288431i
\(364\) 6.36465 10.5223i 0.333598 0.551518i
\(365\) 20.4047i 1.06803i
\(366\) −3.07134 + 1.02480i −0.160542 + 0.0535669i
\(367\) 11.0644 + 6.38805i 0.577559 + 0.333454i 0.760163 0.649733i \(-0.225119\pi\)
−0.182604 + 0.983187i \(0.558453\pi\)
\(368\) 0.390617i 0.0203623i
\(369\) −3.55972 29.3988i −0.185311 1.53044i
\(370\) 5.10871 + 2.94951i 0.265589 + 0.153338i
\(371\) 10.7988 17.0154i 0.560645 0.883396i
\(372\) 3.45491 + 10.3545i 0.179129 + 0.536853i
\(373\) 12.8528 + 22.2617i 0.665493 + 1.15267i 0.979151 + 0.203132i \(0.0651119\pi\)
−0.313659 + 0.949536i \(0.601555\pi\)
\(374\) −0.766703 + 1.32797i −0.0396452 + 0.0686676i
\(375\) −4.04025 + 19.7736i −0.208638 + 1.02111i
\(376\) 30.7625 + 17.7608i 1.58646 + 0.915942i
\(377\) −0.978482 + 1.78225i −0.0503944 + 0.0917904i
\(378\) 11.5037 + 1.42168i 0.591685 + 0.0731234i
\(379\) −15.2609 26.4326i −0.783898 1.35775i −0.929655 0.368431i \(-0.879895\pi\)
0.145757 0.989320i \(-0.453438\pi\)
\(380\) 19.6132i 1.00614i
\(381\) −17.8601 + 5.95926i −0.914999 + 0.305302i
\(382\) −2.07976 3.60225i −0.106410 0.184307i
\(383\) −4.14360 7.17693i −0.211728 0.366724i 0.740527 0.672026i \(-0.234576\pi\)
−0.952255 + 0.305302i \(0.901242\pi\)
\(384\) −13.2632 2.71000i −0.676835 0.138294i
\(385\) 2.97688 4.69061i 0.151716 0.239055i
\(386\) −3.92951 2.26871i −0.200007 0.115474i
\(387\) 1.02693 0.771149i 0.0522016 0.0391997i
\(388\) −0.222747 0.128603i −0.0113083 0.00652883i
\(389\) −23.2193 + 13.4057i −1.17727 + 0.679695i −0.955381 0.295378i \(-0.904555\pi\)
−0.221886 + 0.975073i \(0.571221\pi\)
\(390\) 2.00414 11.0112i 0.101484 0.557572i
\(391\) 2.99540i 0.151484i
\(392\) −15.9399 11.0795i −0.805086 0.559597i
\(393\) −22.4759 19.9186i −1.13376 1.00476i
\(394\) 0.846693 + 1.46652i 0.0426558 + 0.0738820i
\(395\) −15.4649 26.7860i −0.778124 1.34775i
\(396\) 2.29406 + 3.05496i 0.115281 + 0.153518i
\(397\) −5.06386 + 2.92362i −0.254148 + 0.146732i −0.621662 0.783286i \(-0.713542\pi\)
0.367514 + 0.930018i \(0.380209\pi\)
\(398\) 1.58821 0.0796099
\(399\) 23.6151 + 22.7643i 1.18223 + 1.13964i
\(400\) 0.0578416 + 0.100185i 0.00289208 + 0.00500923i
\(401\) 4.14953i 0.207218i 0.994618 + 0.103609i \(0.0330390\pi\)
−0.994618 + 0.103609i \(0.966961\pi\)
\(402\) −2.37673 + 2.68188i −0.118541 + 0.133760i
\(403\) −8.48286 + 15.4510i −0.422561 + 0.769670i
\(404\) 3.87611 6.71362i 0.192844 0.334015i
\(405\) −18.5775 + 4.56581i −0.923124 + 0.226877i
\(406\) 1.06208 + 0.674045i 0.0527101 + 0.0334523i
\(407\) −2.81596 1.62580i −0.139582 0.0805878i
\(408\) −8.66408 1.77029i −0.428936 0.0876423i
\(409\) 10.6492i 0.526570i 0.964718 + 0.263285i \(0.0848060\pi\)
−0.964718 + 0.263285i \(0.915194\pi\)
\(410\) 17.6908i 0.873685i
\(411\) 21.6531 + 4.42427i 1.06807 + 0.218233i
\(412\) 10.8579 + 6.26884i 0.534933 + 0.308843i
\(413\) 27.9638 14.6184i 1.37601 0.719325i
\(414\) 3.78550 + 1.61434i 0.186047 + 0.0793407i
\(415\) 15.3702 26.6220i 0.754493 1.30682i
\(416\) −10.7475 17.7235i −0.526938 0.868964i
\(417\) −18.0415 + 20.3578i −0.883495 + 0.996925i
\(418\) 5.96162i 0.291593i
\(419\) −4.05247 7.01909i −0.197976 0.342905i 0.749896 0.661556i \(-0.230104\pi\)
−0.947872 + 0.318651i \(0.896770\pi\)
\(420\) 12.1867 + 3.02699i 0.594648 + 0.147702i
\(421\) 16.7895 0.818270 0.409135 0.912474i \(-0.365830\pi\)
0.409135 + 0.912474i \(0.365830\pi\)
\(422\) 5.38536 3.10924i 0.262155 0.151355i
\(423\) 30.7278 23.0744i 1.49404 1.12192i
\(424\) −10.5617 18.2935i −0.512923 0.888409i
\(425\) 0.443552 + 0.768254i 0.0215154 + 0.0372658i
\(426\) 3.14209 + 2.78459i 0.152235 + 0.134914i
\(427\) 3.14325 4.95275i 0.152113 0.239680i
\(428\) 0.792429i 0.0383035i
\(429\) −1.10470 + 6.06945i −0.0533355 + 0.293036i
\(430\) −0.664401 + 0.383592i −0.0320403 + 0.0184985i
\(431\) 11.9816 + 6.91758i 0.577134 + 0.333208i 0.759993 0.649931i \(-0.225202\pi\)
−0.182860 + 0.983139i \(0.558535\pi\)
\(432\) −0.709180 + 1.02633i −0.0341204 + 0.0493791i
\(433\) 10.1569 + 5.86410i 0.488111 + 0.281811i 0.723790 0.690020i \(-0.242398\pi\)
−0.235680 + 0.971831i \(0.575732\pi\)
\(434\) 9.20759 + 5.84357i 0.441979 + 0.280500i
\(435\) −2.03406 0.415610i −0.0975258 0.0199270i
\(436\) −7.46182 12.9243i −0.357356 0.618959i
\(437\) 5.82281 + 10.0854i 0.278543 + 0.482450i
\(438\) 13.2980 4.43705i 0.635402 0.212011i
\(439\) 27.4492i 1.31008i 0.755595 + 0.655039i \(0.227348\pi\)
−0.755595 + 0.655039i \(0.772652\pi\)
\(440\) −2.91153 5.04292i −0.138802 0.240412i
\(441\) −17.7892 + 11.1599i −0.847106 + 0.531424i
\(442\) −2.90198 4.78560i −0.138033 0.227628i
\(443\) −23.7433 13.7082i −1.12808 0.651298i −0.184629 0.982808i \(-0.559108\pi\)
−0.943451 + 0.331511i \(0.892442\pi\)
\(444\) 1.47129 7.20072i 0.0698243 0.341731i
\(445\) −5.51299 + 9.54877i −0.261341 + 0.452655i
\(446\) 0.581616 + 1.00739i 0.0275403 + 0.0477012i
\(447\) 4.12401 + 12.3598i 0.195059 + 0.584598i
\(448\) −10.2389 + 5.35251i −0.483742 + 0.252882i
\(449\) 5.57195 + 3.21697i 0.262957 + 0.151818i 0.625683 0.780078i \(-0.284821\pi\)
−0.362726 + 0.931896i \(0.618154\pi\)
\(450\) −1.20995 + 0.146505i −0.0570375 + 0.00690630i
\(451\) 9.75131i 0.459171i
\(452\) 7.87344 + 4.54573i 0.370336 + 0.213813i
\(453\) 5.82247 1.94275i 0.273564 0.0912782i
\(454\) 2.51455i 0.118013i
\(455\) 9.77819 + 17.7634i 0.458409 + 0.832762i
\(456\) 32.6129 10.8817i 1.52724 0.509585i
\(457\) 23.9957 1.12247 0.561235 0.827656i \(-0.310326\pi\)
0.561235 + 0.827656i \(0.310326\pi\)
\(458\) 5.03386 8.71890i 0.235217 0.407407i
\(459\) −5.43826 + 7.87026i −0.253836 + 0.367352i
\(460\) 3.86095 + 2.22912i 0.180018 + 0.103933i
\(461\) 3.15743 5.46883i 0.147056 0.254709i −0.783082 0.621918i \(-0.786354\pi\)
0.930138 + 0.367210i \(0.119687\pi\)
\(462\) 3.70425 + 0.920083i 0.172338 + 0.0428061i
\(463\) −4.43562 −0.206141 −0.103070 0.994674i \(-0.532867\pi\)
−0.103070 + 0.994674i \(0.532867\pi\)
\(464\) −0.117246 + 0.0676919i −0.00544300 + 0.00314252i
\(465\) −17.6341 3.60309i −0.817763 0.167089i
\(466\) 6.98647 12.1009i 0.323642 0.560565i
\(467\) 2.04445 3.54109i 0.0946057 0.163862i −0.814838 0.579688i \(-0.803174\pi\)
0.909444 + 0.415826i \(0.136508\pi\)
\(468\) −13.8036 + 1.97352i −0.638073 + 0.0912259i
\(469\) 0.271996 6.48656i 0.0125596 0.299522i
\(470\) −19.8803 + 11.4779i −0.917009 + 0.529436i
\(471\) 8.05334 + 24.1361i 0.371078 + 1.11213i
\(472\) 33.0740i 1.52235i
\(473\) 0.366224 0.211439i 0.0168390 0.00972199i
\(474\) 14.0939 15.9033i 0.647353 0.730465i
\(475\) −2.98684 1.72445i −0.137046 0.0791234i
\(476\) 5.56477 2.90905i 0.255061 0.133336i
\(477\) −22.6855 + 2.74684i −1.03870 + 0.125769i
\(478\) 24.9863 1.14285
\(479\) −15.1680 + 26.2717i −0.693042 + 1.20038i 0.277794 + 0.960641i \(0.410397\pi\)
−0.970836 + 0.239744i \(0.922937\pi\)
\(480\) 14.0376 15.8398i 0.640725 0.722986i
\(481\) 10.1479 6.15366i 0.462704 0.280583i
\(482\) −15.2814 −0.696048
\(483\) −7.16522 + 2.06148i −0.326029 + 0.0938005i
\(484\) −6.46117 11.1911i −0.293690 0.508686i
\(485\) 0.367281 0.212050i 0.0166774 0.00962867i
\(486\) −7.01532 11.1143i −0.318221 0.504157i
\(487\) −36.5435 −1.65594 −0.827971 0.560771i \(-0.810505\pi\)
−0.827971 + 0.560771i \(0.810505\pi\)
\(488\) −3.07425 5.32476i −0.139165 0.241040i
\(489\) −1.46814 + 0.489866i −0.0663917 + 0.0221525i
\(490\) 11.3514 5.34102i 0.512804 0.241282i
\(491\) 21.6683 12.5102i 0.977875 0.564577i 0.0762474 0.997089i \(-0.475706\pi\)
0.901628 + 0.432512i \(0.142373\pi\)
\(492\) 20.9075 6.97608i 0.942583 0.314506i
\(493\) −0.899086 + 0.519087i −0.0404928 + 0.0233785i
\(494\) 19.0737 + 10.4717i 0.858164 + 0.471146i
\(495\) −6.25367 + 0.757217i −0.281082 + 0.0340344i
\(496\) −1.01645 + 0.586849i −0.0456400 + 0.0263503i
\(497\) −7.59967 0.318671i −0.340892 0.0142944i
\(498\) 20.6921 + 4.22792i 0.927237 + 0.189458i
\(499\) −8.03279 + 13.9132i −0.359597 + 0.622841i −0.987894 0.155133i \(-0.950419\pi\)
0.628296 + 0.777974i \(0.283753\pi\)
\(500\) −15.0211 −0.671764
\(501\) −9.22946 + 3.07954i −0.412342 + 0.137583i
\(502\) −5.54789 3.20308i −0.247614 0.142960i
\(503\) 19.4463 33.6820i 0.867069 1.50181i 0.00209081 0.999998i \(-0.499334\pi\)
0.864978 0.501810i \(-0.167332\pi\)
\(504\) 1.72808 + 21.9435i 0.0769749 + 0.977439i
\(505\) 6.39120 + 11.0699i 0.284405 + 0.492603i
\(506\) 1.17357 + 0.677563i 0.0521717 + 0.0301214i
\(507\) −17.4782 14.1955i −0.776234 0.630445i
\(508\) −7.00662 12.1358i −0.310869 0.538440i
\(509\) −30.1839 −1.33788 −0.668939 0.743317i \(-0.733251\pi\)
−0.668939 + 0.743317i \(0.733251\pi\)
\(510\) 3.79035 4.27699i 0.167840 0.189388i
\(511\) −13.6093 + 21.4439i −0.602041 + 0.948623i
\(512\) 2.71177i 0.119845i
\(513\) 3.01129 37.0704i 0.132952 1.63670i
\(514\) 19.9831i 0.881417i
\(515\) −17.9033 + 10.3365i −0.788915 + 0.455480i
\(516\) 0.715337 + 0.633946i 0.0314910 + 0.0279079i
\(517\) 10.9582 6.32671i 0.481941 0.278249i
\(518\) −3.40166 6.50709i −0.149460 0.285905i
\(519\) −23.6877 + 7.90373i −1.03977 + 0.346935i
\(520\) 21.2485 0.457157i 0.931810 0.0200476i
\(521\) 16.6107 + 28.7706i 0.727729 + 1.26046i 0.957841 + 0.287299i \(0.0927573\pi\)
−0.230112 + 0.973164i \(0.573909\pi\)
\(522\) −0.171454 1.41600i −0.00750435 0.0619766i
\(523\) 19.3414i 0.845740i 0.906190 + 0.422870i \(0.138977\pi\)
−0.906190 + 0.422870i \(0.861023\pi\)
\(524\) 11.1760 19.3574i 0.488227 0.845634i
\(525\) 1.53246 1.58973i 0.0668821 0.0693816i
\(526\) 7.40330 12.8229i 0.322799 0.559104i
\(527\) −7.79454 + 4.50018i −0.339536 + 0.196031i
\(528\) −0.272453 + 0.307433i −0.0118570 + 0.0133793i
\(529\) 20.3529 0.884907
\(530\) 13.6510 0.592963
\(531\) −32.9114 14.0352i −1.42823 0.609077i
\(532\) −13.0814 + 20.6121i −0.567151 + 0.893648i
\(533\) 31.1984 + 17.1284i 1.35135 + 0.741914i
\(534\) −7.42186 1.51647i −0.321175 0.0656242i
\(535\) −1.13156 0.653306i −0.0489216 0.0282449i
\(536\) −5.89325 3.40247i −0.254550 0.146964i
\(537\) −25.6175 + 28.9064i −1.10547 + 1.24740i
\(538\) 20.0171i 0.863000i
\(539\) −6.25699 + 2.94401i −0.269508 + 0.126808i
\(540\) −6.09740 12.8666i −0.262390 0.553691i
\(541\) −13.4353 + 23.2706i −0.577629 + 1.00048i 0.418122 + 0.908391i \(0.362689\pi\)
−0.995751 + 0.0920914i \(0.970645\pi\)
\(542\) −25.5544 −1.09766
\(543\) 10.6393 + 2.17387i 0.456574 + 0.0932895i
\(544\) 10.5838i 0.453776i
\(545\) 24.6071 1.05405
\(546\) −9.45033 + 10.2353i −0.404437 + 0.438029i
\(547\) −30.2508 −1.29343 −0.646716 0.762731i \(-0.723858\pi\)
−0.646716 + 0.762731i \(0.723858\pi\)
\(548\) 16.4488i 0.702660i
\(549\) −6.60317 + 0.799536i −0.281816 + 0.0341234i
\(550\) −0.401328 −0.0171127
\(551\) 2.01813 3.49550i 0.0859750 0.148913i
\(552\) −1.56447 + 7.65677i −0.0665883 + 0.325894i
\(553\) −1.61292 + 38.4649i −0.0685882 + 1.63569i
\(554\) 14.8232i 0.629778i
\(555\) 9.06938 + 8.03747i 0.384974 + 0.341172i
\(556\) −17.5332 10.1228i −0.743573 0.429302i
\(557\) −23.3427 13.4769i −0.989060 0.571034i −0.0840671 0.996460i \(-0.526791\pi\)
−0.904993 + 0.425426i \(0.860124\pi\)
\(558\) −1.48641 12.2759i −0.0629246 0.519679i
\(559\) 0.0331993 + 1.54310i 0.00140418 + 0.0652660i
\(560\) −0.0565664 + 1.34899i −0.00239037 + 0.0570054i
\(561\) −2.08928 + 2.35751i −0.0882093 + 0.0995343i
\(562\) −22.8912 −0.965607
\(563\) −7.64099 −0.322029 −0.161015 0.986952i \(-0.551477\pi\)
−0.161015 + 0.986952i \(0.551477\pi\)
\(564\) 21.4044 + 18.9690i 0.901288 + 0.798740i
\(565\) −12.9823 + 7.49532i −0.546169 + 0.315331i
\(566\) 3.01986 5.23056i 0.126934 0.219857i
\(567\) 22.5689 + 7.59230i 0.947806 + 0.318847i
\(568\) −3.98634 + 6.90454i −0.167263 + 0.289708i
\(569\) 3.73804i 0.156707i 0.996926 + 0.0783534i \(0.0249662\pi\)
−0.996926 + 0.0783534i \(0.975034\pi\)
\(570\) −4.44787 + 21.7686i −0.186301 + 0.911786i
\(571\) 7.51056 + 13.0087i 0.314307 + 0.544396i 0.979290 0.202463i \(-0.0648945\pi\)
−0.664983 + 0.746859i \(0.731561\pi\)
\(572\) −4.59049 + 0.0987632i −0.191938 + 0.00412950i
\(573\) −2.70454 8.10559i −0.112984 0.338616i
\(574\) 11.7992 18.5918i 0.492490 0.776006i
\(575\) 0.678935 0.391983i 0.0283135 0.0163468i
\(576\) 12.0505 + 5.13897i 0.502103 + 0.214124i
\(577\) 15.7668 9.10299i 0.656382 0.378963i −0.134515 0.990912i \(-0.542948\pi\)
0.790897 + 0.611949i \(0.209614\pi\)
\(578\) 11.4755i 0.477319i
\(579\) −6.97598 6.18226i −0.289912 0.256926i
\(580\) 1.54518i 0.0641602i
\(581\) −33.9091 + 17.7264i −1.40679 + 0.735414i
\(582\) 0.218061 + 0.193250i 0.00903893 + 0.00801049i
\(583\) −7.52457 −0.311636
\(584\) 13.3106 + 23.0546i 0.550796 + 0.954006i
\(585\) 8.56208 21.3381i 0.353999 0.882222i
\(586\) −16.6433 9.60900i −0.687528 0.396944i
\(587\) −2.83282 4.90659i −0.116923 0.202516i 0.801624 0.597829i \(-0.203970\pi\)
−0.918547 + 0.395312i \(0.870636\pi\)
\(588\) −10.7884 11.3093i −0.444907 0.466387i
\(589\) 17.4959 30.3039i 0.720908 1.24865i
\(590\) 18.5105 + 10.6870i 0.762064 + 0.439978i
\(591\) 1.10105 + 3.29988i 0.0452911 + 0.135739i
\(592\) 0.790250 0.0324791
\(593\) −1.76064 + 3.04952i −0.0723010 + 0.125229i −0.899909 0.436077i \(-0.856368\pi\)
0.827608 + 0.561306i \(0.189701\pi\)
\(594\) −1.85336 3.91093i −0.0760445 0.160468i
\(595\) −0.433772 + 10.3446i −0.0177829 + 0.424087i
\(596\) −8.39841 + 4.84883i −0.344012 + 0.198616i
\(597\) 3.19661 + 0.653149i 0.130829 + 0.0267316i
\(598\) −4.22921 + 2.56458i −0.172945 + 0.104874i
\(599\) −22.9515 + 13.2511i −0.937774 + 0.541424i −0.889262 0.457398i \(-0.848781\pi\)
−0.0485125 + 0.998823i \(0.515448\pi\)
\(600\) −0.732544 2.19546i −0.0299060 0.0896291i
\(601\) −24.6360 + 14.2236i −1.00492 + 0.580194i −0.909702 0.415262i \(-0.863690\pi\)
−0.0952232 + 0.995456i \(0.530356\pi\)
\(602\) 0.954084 + 0.0400069i 0.0388856 + 0.00163056i
\(603\) −5.88660 + 4.42042i −0.239721 + 0.180014i
\(604\) 2.28419 + 3.95634i 0.0929425 + 0.160981i
\(605\) 21.3073 0.866263
\(606\) −5.82459 + 6.57240i −0.236608 + 0.266985i
\(607\) 8.40141 4.85056i 0.341003 0.196878i −0.319713 0.947515i \(-0.603586\pi\)
0.660715 + 0.750637i \(0.270253\pi\)
\(608\) 20.5740 + 35.6352i 0.834386 + 1.44520i
\(609\) 1.86046 + 1.79344i 0.0753896 + 0.0726737i
\(610\) 3.97347 0.160881
\(611\) 0.993394 + 46.1727i 0.0401884 + 1.86795i
\(612\) −6.54934 2.79299i −0.264742 0.112900i
\(613\) 4.23217 7.33033i 0.170936 0.296069i −0.767812 0.640676i \(-0.778654\pi\)
0.938747 + 0.344606i \(0.111988\pi\)
\(614\) −21.0563 −0.849763
\(615\) −7.27530 + 35.6065i −0.293368 + 1.43579i
\(616\) −0.303659 + 7.24167i −0.0122348 + 0.291775i
\(617\) 10.0946 + 5.82812i 0.406393 + 0.234631i 0.689239 0.724534i \(-0.257945\pi\)
−0.282846 + 0.959165i \(0.591278\pi\)
\(618\) −10.6295 9.42011i −0.427583 0.378933i
\(619\) 25.2951 14.6041i 1.01669 0.586989i 0.103550 0.994624i \(-0.466980\pi\)
0.913145 + 0.407635i \(0.133646\pi\)
\(620\) 13.3958i 0.537989i
\(621\) 6.95524 + 4.80599i 0.279104 + 0.192858i
\(622\) −13.1499 + 7.59212i −0.527265 + 0.304416i
\(623\) 12.1625 6.35810i 0.487281 0.254732i
\(624\) −0.505032 1.41170i −0.0202175 0.0565133i
\(625\) 11.1793 19.3631i 0.447172 0.774524i
\(626\) 8.54512 14.8006i 0.341532 0.591550i
\(627\) 2.45170 11.9990i 0.0979117 0.479195i
\(628\) −16.4004 + 9.46875i −0.654445 + 0.377844i
\(629\) 6.05994 0.241626
\(630\) −12.8395 6.12332i −0.511536 0.243959i
\(631\) 12.7791 22.1340i 0.508727 0.881141i −0.491222 0.871034i \(-0.663450\pi\)
0.999949 0.0101065i \(-0.00321706\pi\)
\(632\) 34.9466 + 20.1764i 1.39010 + 0.802575i
\(633\) 12.1179 4.04329i 0.481642 0.160706i
\(634\) 3.95608 6.85214i 0.157116 0.272133i
\(635\) 23.1060 0.916934
\(636\) −5.38307 16.1332i −0.213453 0.639724i
\(637\) 1.57146 25.1899i 0.0622637 0.998060i
\(638\) 0.469673i 0.0185945i
\(639\) 5.17897 + 6.89675i 0.204877 + 0.272831i
\(640\) 14.3873 + 8.30653i 0.568709 + 0.328344i
\(641\) 34.2795i 1.35396i 0.736002 + 0.676980i \(0.236712\pi\)
−0.736002 + 0.676980i \(0.763288\pi\)
\(642\) 0.179707 0.879514i 0.00709246 0.0347116i
\(643\) −19.3892 11.1943i −0.764634 0.441462i 0.0663229 0.997798i \(-0.478873\pi\)
−0.830957 + 0.556336i \(0.812207\pi\)
\(644\) −2.57084 4.91779i −0.101305 0.193788i
\(645\) −1.49500 + 0.498827i −0.0588656 + 0.0196413i
\(646\) 5.55529 + 9.62204i 0.218570 + 0.378574i
\(647\) −10.3042 + 17.8473i −0.405098 + 0.701651i −0.994333 0.106311i \(-0.966096\pi\)
0.589235 + 0.807962i \(0.299429\pi\)
\(648\) 18.0117 17.2774i 0.707567 0.678721i
\(649\) −10.2031 5.89078i −0.400508 0.231233i
\(650\) 0.704943 1.28401i 0.0276501 0.0503631i
\(651\) 16.1291 + 15.5480i 0.632149 + 0.609376i
\(652\) −0.575962 0.997595i −0.0225564 0.0390688i
\(653\) 27.5127i 1.07665i 0.842736 + 0.538327i \(0.180944\pi\)
−0.842736 + 0.538327i \(0.819056\pi\)
\(654\) 5.35089 + 16.0368i 0.209236 + 0.627087i
\(655\) 18.4278 + 31.9179i 0.720034 + 1.24713i
\(656\) 1.18495 + 2.05240i 0.0462647 + 0.0801328i
\(657\) 28.5897 3.46175i 1.11539 0.135056i
\(658\) 28.5482 + 1.19709i 1.11293 + 0.0466675i
\(659\) 33.0777 + 19.0974i 1.28852 + 0.743929i 0.978391 0.206764i \(-0.0662933\pi\)
0.310132 + 0.950693i \(0.399627\pi\)
\(660\) −1.48394 4.44741i −0.0577623 0.173115i
\(661\) −5.78197 3.33822i −0.224893 0.129842i 0.383321 0.923615i \(-0.374780\pi\)
−0.608214 + 0.793773i \(0.708114\pi\)
\(662\) 13.7335 7.92907i 0.533770 0.308172i
\(663\) −3.87278 10.8255i −0.150406 0.420427i
\(664\) 40.1057i 1.55640i
\(665\) −18.6486 35.6731i −0.723160 1.38334i
\(666\) −3.26595 + 7.65839i −0.126553 + 0.296757i
\(667\) 0.458737 + 0.794555i 0.0177624 + 0.0307653i
\(668\) −3.62078 6.27137i −0.140092 0.242646i
\(669\) 0.756340 + 2.26677i 0.0292418 + 0.0876385i
\(670\) 3.80851 2.19885i 0.147136 0.0849489i
\(671\) −2.19021 −0.0845521
\(672\) −25.3172 + 7.28392i −0.976632 + 0.280983i
\(673\) 5.54228 + 9.59951i 0.213639 + 0.370034i 0.952851 0.303439i \(-0.0981350\pi\)
−0.739212 + 0.673473i \(0.764802\pi\)
\(674\) 17.5227i 0.674950i
\(675\) −2.49553 0.202716i −0.0960528 0.00780254i
\(676\) 7.74733 14.8603i 0.297974 0.571551i
\(677\) −14.9397 + 25.8763i −0.574178 + 0.994506i 0.421952 + 0.906618i \(0.361345\pi\)
−0.996130 + 0.0878879i \(0.971988\pi\)
\(678\) −7.70782 6.83083i −0.296017 0.262336i
\(679\) −0.527417 0.0221158i −0.0202404 0.000848726i
\(680\) 9.39841 + 5.42617i 0.360413 + 0.208084i
\(681\) 1.03410 5.06106i 0.0396269 0.193940i
\(682\) 4.07179i 0.155917i
\(683\) 3.80861i 0.145732i −0.997342 0.0728662i \(-0.976785\pi\)
0.997342 0.0728662i \(-0.0232146\pi\)
\(684\) 27.4807 3.32747i 1.05075 0.127229i
\(685\) −23.4883 13.5610i −0.897443 0.518139i
\(686\) −15.4918 1.95801i −0.591481 0.0747571i
\(687\) 13.7173 15.4785i 0.523349 0.590541i
\(688\) −0.0513871 + 0.0890050i −0.00195911 + 0.00339329i
\(689\) 13.2171 24.0742i 0.503531 0.917152i
\(690\) −3.77973 3.34968i −0.143892 0.127520i
\(691\) 32.3395i 1.23025i −0.788428 0.615127i \(-0.789105\pi\)
0.788428 0.615127i \(-0.210895\pi\)
\(692\) −9.29284 16.0957i −0.353261 0.611866i
\(693\) 7.07722 + 3.37523i 0.268841 + 0.128214i
\(694\) 2.21736 0.0841699
\(695\) 28.9099 16.6912i 1.09662 0.633132i
\(696\) 2.56934 0.857294i 0.0973904 0.0324957i
\(697\) 9.08668 + 15.7386i 0.344182 + 0.596141i
\(698\) −0.993435 1.72068i −0.0376021 0.0651287i
\(699\) 19.0382 21.4825i 0.720093 0.812544i
\(700\) 1.38758 + 0.880622i 0.0524455 + 0.0332844i
\(701\) 8.39232i 0.316974i −0.987361 0.158487i \(-0.949338\pi\)
0.987361 0.158487i \(-0.0506616\pi\)
\(702\) 15.7681 + 0.939984i 0.595130 + 0.0354774i
\(703\) −20.4036 + 11.7800i −0.769536 + 0.444292i
\(704\) 3.73586 + 2.15690i 0.140800 + 0.0812912i
\(705\) −44.7336 + 14.9260i −1.68476 + 0.562145i
\(706\) −16.6241 9.59791i −0.625655 0.361222i
\(707\) 0.666573 15.8964i 0.0250690 0.597847i
\(708\) 5.33095 26.0905i 0.200349 0.980541i
\(709\) −13.5979 23.5522i −0.510679 0.884523i −0.999923 0.0123757i \(-0.996061\pi\)
0.489244 0.872147i \(-0.337273\pi\)
\(710\) −2.57617 4.46206i −0.0966820 0.167458i
\(711\) 34.9071 26.2128i 1.30912 0.983056i
\(712\) 14.3851i 0.539105i
\(713\) 3.97698 + 6.88832i 0.148939 + 0.257970i
\(714\) −6.83603 + 1.96677i −0.255832 + 0.0736044i
\(715\) 3.64353 6.63648i 0.136260 0.248190i
\(716\) −24.8957 14.3735i −0.930397 0.537165i
\(717\) 50.2903 + 10.2756i 1.87813 + 0.383748i
\(718\) −2.84272 + 4.92374i −0.106089 + 0.183752i
\(719\) 14.7050 + 25.4699i 0.548405 + 0.949866i 0.998384 + 0.0568265i \(0.0180982\pi\)
−0.449979 + 0.893039i \(0.648568\pi\)
\(720\) 1.22422 0.919304i 0.0456240 0.0342604i
\(721\) 25.7093 + 1.07805i 0.957464 + 0.0401486i
\(722\) −23.5355 13.5882i −0.875902 0.505702i
\(723\) −30.7570 6.28444i −1.14387 0.233721i
\(724\) 8.08214i 0.300370i
\(725\) −0.235312 0.135857i −0.00873926 0.00504561i
\(726\) 4.63332 + 13.8862i 0.171959 + 0.515365i
\(727\) 31.8635i 1.18175i −0.806763 0.590876i \(-0.798782\pi\)
0.806763 0.590876i \(-0.201218\pi\)
\(728\) −22.6357 13.6917i −0.838933 0.507448i
\(729\) −9.54908 25.2550i −0.353669 0.935370i
\(730\) −17.2039 −0.636746
\(731\) −0.394056 + 0.682525i −0.0145747 + 0.0252441i
\(732\) −1.56687 4.69597i −0.0579133 0.173568i
\(733\) −8.03692 4.64012i −0.296850 0.171387i 0.344177 0.938905i \(-0.388158\pi\)
−0.641027 + 0.767518i \(0.721491\pi\)
\(734\) 5.38599 9.32881i 0.198801 0.344333i
\(735\) 25.0436 6.08169i 0.923747 0.224327i
\(736\) −9.35328 −0.344767
\(737\) −2.09929 + 1.21202i −0.0773282 + 0.0446455i
\(738\) −24.7872 + 3.00132i −0.912429 + 0.110480i
\(739\) −19.1664 + 33.1971i −0.705046 + 1.22118i 0.261629 + 0.965169i \(0.415740\pi\)
−0.966675 + 0.256007i \(0.917593\pi\)
\(740\) −4.50970 + 7.81103i −0.165780 + 0.287139i
\(741\) 34.0833 + 28.9206i 1.25208 + 1.06242i
\(742\) −14.3463 9.10484i −0.526669 0.334249i
\(743\) −41.4254 + 23.9170i −1.51975 + 0.877428i −0.520022 + 0.854153i \(0.674076\pi\)
−0.999729 + 0.0232753i \(0.992591\pi\)
\(744\) 22.2746 7.43223i 0.816627 0.272479i
\(745\) 15.9902i 0.585834i
\(746\) 18.7696 10.8367i 0.687205 0.396758i
\(747\) 39.9086 + 17.0192i 1.46018 + 0.622700i
\(748\) −2.03041 1.17226i −0.0742393 0.0428621i
\(749\) 0.753455 + 1.44130i 0.0275306 + 0.0526638i
\(750\) 16.6718 + 3.40648i 0.608770 + 0.124387i
\(751\) −19.6118 −0.715646 −0.357823 0.933789i \(-0.616481\pi\)
−0.357823 + 0.933789i \(0.616481\pi\)
\(752\) −1.53761 + 2.66322i −0.0560709 + 0.0971176i
\(753\) −9.84905 8.72843i −0.358919 0.318082i
\(754\) 1.50268 + 0.824993i 0.0547242 + 0.0300445i
\(755\) −7.53267 −0.274142
\(756\) −2.17370 + 17.5887i −0.0790567 + 0.639695i
\(757\) −6.86398 11.8888i −0.249476 0.432105i 0.713905 0.700243i \(-0.246925\pi\)
−0.963380 + 0.268138i \(0.913592\pi\)
\(758\) −22.2862 + 12.8670i −0.809473 + 0.467349i
\(759\) 2.08342 + 1.84637i 0.0756234 + 0.0670190i
\(760\) −42.1921 −1.53047
\(761\) −11.3944 19.7356i −0.413045 0.715415i 0.582176 0.813063i \(-0.302202\pi\)
−0.995221 + 0.0976477i \(0.968868\pi\)
\(762\) 5.02446 + 15.0585i 0.182017 + 0.545510i
\(763\) −25.8604 16.4122i −0.936209 0.594162i
\(764\) 5.50771 3.17988i 0.199262 0.115044i
\(765\) 9.38780 7.04958i 0.339417 0.254878i
\(766\) −6.05112 + 3.49362i −0.218636 + 0.126230i
\(767\) 36.7691 22.2967i 1.32765 0.805086i
\(768\) −5.31319 + 26.0036i −0.191723 + 0.938324i
\(769\) 20.0316 11.5653i 0.722359 0.417054i −0.0932614 0.995642i \(-0.529729\pi\)
0.815620 + 0.578588i \(0.196396\pi\)
\(770\) −3.95482 2.50991i −0.142522 0.0904510i
\(771\) −8.21801 + 40.2202i −0.295964 + 1.44850i
\(772\) 3.46877 6.00808i 0.124844 0.216236i
\(773\) −1.27842 −0.0459815 −0.0229908