Properties

Label 483.2.bf.a.388.29
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 388.29
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.29

$q$-expansion

\(f(q)\) \(=\) \(q+(1.74563 - 1.37278i) q^{2} +(0.814576 - 0.580057i) q^{3} +(0.691183 - 2.84910i) q^{4} +(0.900327 + 0.173524i) q^{5} +(0.625658 - 2.13080i) q^{6} +(-2.36104 - 1.19395i) q^{7} +(-0.859559 - 1.88217i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(1.74563 - 1.37278i) q^{2} +(0.814576 - 0.580057i) q^{3} +(0.691183 - 2.84910i) q^{4} +(0.900327 + 0.173524i) q^{5} +(0.625658 - 2.13080i) q^{6} +(-2.36104 - 1.19395i) q^{7} +(-0.859559 - 1.88217i) q^{8} +(0.327068 - 0.945001i) q^{9} +(1.80985 - 0.933041i) q^{10} +(1.96363 - 2.49696i) q^{11} +(-1.08962 - 2.72173i) q^{12} +(-1.26333 + 1.96579i) q^{13} +(-5.76052 + 1.15699i) q^{14} +(0.834039 - 0.380893i) q^{15} +(1.12739 + 0.581210i) q^{16} +(0.328116 - 0.312858i) q^{17} +(-0.726337 - 2.09861i) q^{18} +(-0.682757 - 0.651007i) q^{19} +(1.11668 - 2.44518i) q^{20} +(-2.61580 + 0.396976i) q^{21} -7.05438i q^{22} +(1.31637 + 4.61163i) q^{23} +(-1.79194 - 1.03458i) q^{24} +(-3.86136 - 1.54586i) q^{25} +(0.493275 + 5.16581i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-5.03358 + 5.90158i) q^{28} +(1.08409 + 0.318318i) q^{29} +(0.933041 - 1.80985i) q^{30} +(-0.611021 + 6.39890i) q^{31} +(6.82941 - 1.31626i) q^{32} +(0.151147 - 3.17298i) q^{33} +(0.143284 - 0.996564i) q^{34} +(-1.91853 - 1.48464i) q^{35} +(-2.46633 - 1.58502i) q^{36} +(8.69557 + 3.00957i) q^{37} +(-2.08553 - 0.199144i) q^{38} +(0.111186 + 2.33409i) q^{39} +(-0.447283 - 1.84372i) q^{40} +(4.93869 + 4.27940i) q^{41} +(-4.02126 + 4.28388i) q^{42} +(-5.82035 - 2.65806i) q^{43} +(-5.75684 - 7.32042i) q^{44} +(0.458448 - 0.794056i) q^{45} +(8.62864 + 6.24311i) q^{46} +(-10.0744 + 5.81648i) q^{47} +(1.25548 - 0.180511i) q^{48} +(4.14899 + 5.63790i) q^{49} +(-8.86262 + 2.60230i) q^{50} +(0.0857999 - 0.445172i) q^{51} +(4.72752 + 4.95808i) q^{52} +(-6.57621 + 0.313264i) q^{53} +(-1.80897 - 1.28816i) q^{54} +(2.20119 - 1.90734i) q^{55} +(-0.217762 + 5.47014i) q^{56} +(-0.933778 - 0.134257i) q^{57} +(2.32940 - 0.932550i) q^{58} +(-0.163756 - 0.317641i) q^{59} +(-0.508726 - 2.63952i) q^{60} +(-1.64394 + 2.30859i) q^{61} +(7.71765 + 12.0089i) q^{62} +(-1.90050 + 1.84068i) q^{63} +(8.45344 - 9.75579i) q^{64} +(-1.47852 + 1.55063i) q^{65} +(-4.09194 - 5.74633i) q^{66} +(4.39653 - 10.9820i) q^{67} +(-0.664574 - 1.15108i) q^{68} +(3.74730 + 2.99295i) q^{69} +(-5.38711 + 0.0420837i) q^{70} +(-1.01704 - 7.07367i) q^{71} +(-2.05979 + 0.196686i) q^{72} +(6.33197 + 1.53612i) q^{73} +(19.3107 - 6.68350i) q^{74} +(-4.04206 + 0.980592i) q^{75} +(-2.32669 + 1.49527i) q^{76} +(-7.61743 + 3.55094i) q^{77} +(3.39827 + 3.92182i) q^{78} +(-2.20102 - 0.104847i) q^{79} +(0.914167 + 0.718909i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(14.4958 + 0.690519i) q^{82} +(-2.33328 - 2.69275i) q^{83} +(-0.676976 + 7.72705i) q^{84} +(0.349700 - 0.224739i) q^{85} +(-13.8091 + 3.35005i) q^{86} +(1.06772 - 0.369540i) q^{87} +(-6.38755 - 1.54960i) q^{88} +(-17.1882 + 1.64128i) q^{89} +(-0.289781 - 2.01547i) q^{90} +(5.32982 - 3.13294i) q^{91} +(14.0488 - 0.562990i) q^{92} +(3.21400 + 5.56681i) q^{93} +(-9.60149 + 23.9834i) q^{94} +(-0.501739 - 0.704594i) q^{95} +(4.79957 - 5.03364i) q^{96} +(1.30470 - 1.50570i) q^{97} +(14.9822 + 4.14605i) q^{98} +(-1.71739 - 2.67230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.74563 1.37278i 1.23435 0.970700i 0.234347 0.972153i \(-0.424705\pi\)
0.999999 + 0.00145276i \(0.000462427\pi\)
\(3\) 0.814576 0.580057i 0.470296 0.334896i
\(4\) 0.691183 2.84910i 0.345592 1.42455i
\(5\) 0.900327 + 0.173524i 0.402639 + 0.0776022i 0.386550 0.922268i \(-0.373667\pi\)
0.0160883 + 0.999871i \(0.494879\pi\)
\(6\) 0.625658 2.13080i 0.255424 0.869894i
\(7\) −2.36104 1.19395i −0.892388 0.451269i
\(8\) −0.859559 1.88217i −0.303900 0.665448i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) 1.80985 0.933041i 0.572324 0.295053i
\(11\) 1.96363 2.49696i 0.592056 0.752861i −0.394030 0.919098i \(-0.628919\pi\)
0.986086 + 0.166237i \(0.0531617\pi\)
\(12\) −1.08962 2.72173i −0.314545 0.785696i
\(13\) −1.26333 + 1.96579i −0.350386 + 0.545211i −0.971053 0.238863i \(-0.923225\pi\)
0.620668 + 0.784074i \(0.286862\pi\)
\(14\) −5.76052 + 1.15699i −1.53956 + 0.309219i
\(15\) 0.834039 0.380893i 0.215348 0.0983461i
\(16\) 1.12739 + 0.581210i 0.281848 + 0.145303i
\(17\) 0.328116 0.312858i 0.0795798 0.0758792i −0.649245 0.760579i \(-0.724915\pi\)
0.728825 + 0.684700i \(0.240067\pi\)
\(18\) −0.726337 2.09861i −0.171199 0.494648i
\(19\) −0.682757 0.651007i −0.156635 0.149351i 0.607709 0.794160i \(-0.292089\pi\)
−0.764344 + 0.644808i \(0.776937\pi\)
\(20\) 1.11668 2.44518i 0.249697 0.546759i
\(21\) −2.61580 + 0.396976i −0.570814 + 0.0866272i
\(22\) 7.05438i 1.50400i
\(23\) 1.31637 + 4.61163i 0.274483 + 0.961592i
\(24\) −1.79194 1.03458i −0.365779 0.211182i
\(25\) −3.86136 1.54586i −0.772272 0.309171i
\(26\) 0.493275 + 5.16581i 0.0967391 + 1.01310i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −5.03358 + 5.90158i −0.951257 + 1.11529i
\(29\) 1.08409 + 0.318318i 0.201311 + 0.0591101i 0.380833 0.924644i \(-0.375637\pi\)
−0.179523 + 0.983754i \(0.557455\pi\)
\(30\) 0.933041 1.80985i 0.170349 0.330431i
\(31\) −0.611021 + 6.39890i −0.109743 + 1.14928i 0.757997 + 0.652258i \(0.226178\pi\)
−0.867740 + 0.497018i \(0.834428\pi\)
\(32\) 6.82941 1.31626i 1.20728 0.232684i
\(33\) 0.151147 3.17298i 0.0263114 0.552344i
\(34\) 0.143284 0.996564i 0.0245730 0.170909i
\(35\) −1.91853 1.48464i −0.324290 0.250950i
\(36\) −2.46633 1.58502i −0.411056 0.264169i
\(37\) 8.69557 + 3.00957i 1.42954 + 0.494770i 0.928721 0.370780i \(-0.120910\pi\)
0.500823 + 0.865550i \(0.333031\pi\)
\(38\) −2.08553 0.199144i −0.338317 0.0323054i
\(39\) 0.111186 + 2.33409i 0.0178041 + 0.373753i
\(40\) −0.447283 1.84372i −0.0707216 0.291518i
\(41\) 4.93869 + 4.27940i 0.771294 + 0.668330i 0.948831 0.315784i \(-0.102267\pi\)
−0.177537 + 0.984114i \(0.556813\pi\)
\(42\) −4.02126 + 4.28388i −0.620493 + 0.661018i
\(43\) −5.82035 2.65806i −0.887594 0.405351i −0.0811785 0.996700i \(-0.525868\pi\)
−0.806416 + 0.591349i \(0.798596\pi\)
\(44\) −5.75684 7.32042i −0.867876 1.10359i
\(45\) 0.458448 0.794056i 0.0683414 0.118371i
\(46\) 8.62864 + 6.24311i 1.27222 + 0.920497i
\(47\) −10.0744 + 5.81648i −1.46951 + 0.848420i −0.999415 0.0341974i \(-0.989113\pi\)
−0.470092 + 0.882618i \(0.655779\pi\)
\(48\) 1.25548 0.180511i 0.181213 0.0260545i
\(49\) 4.14899 + 5.63790i 0.592712 + 0.805414i
\(50\) −8.86262 + 2.60230i −1.25336 + 0.368021i
\(51\) 0.0857999 0.445172i 0.0120144 0.0623366i
\(52\) 4.72752 + 4.95808i 0.655589 + 0.687562i
\(53\) −6.57621 + 0.313264i −0.903312 + 0.0430301i −0.494096 0.869407i \(-0.664501\pi\)
−0.409216 + 0.912437i \(0.634198\pi\)
\(54\) −1.80897 1.28816i −0.246170 0.175297i
\(55\) 2.20119 1.90734i 0.296808 0.257186i
\(56\) −0.217762 + 5.47014i −0.0290996 + 0.730979i
\(57\) −0.933778 0.134257i −0.123682 0.0177828i
\(58\) 2.32940 0.932550i 0.305865 0.122450i
\(59\) −0.163756 0.317641i −0.0213192 0.0413534i 0.877935 0.478779i \(-0.158921\pi\)
−0.899254 + 0.437426i \(0.855890\pi\)
\(60\) −0.508726 2.63952i −0.0656763 0.340761i
\(61\) −1.64394 + 2.30859i −0.210485 + 0.295584i −0.906299 0.422638i \(-0.861104\pi\)
0.695814 + 0.718222i \(0.255044\pi\)
\(62\) 7.71765 + 12.0089i 0.980142 + 1.52513i
\(63\) −1.90050 + 1.84068i −0.239440 + 0.231904i
\(64\) 8.45344 9.75579i 1.05668 1.21947i
\(65\) −1.47852 + 1.55063i −0.183388 + 0.192332i
\(66\) −4.09194 5.74633i −0.503683 0.707324i
\(67\) 4.39653 10.9820i 0.537121 1.34166i −0.373196 0.927753i \(-0.621738\pi\)
0.910317 0.413912i \(-0.135838\pi\)
\(68\) −0.664574 1.15108i −0.0805914 0.139588i
\(69\) 3.74730 + 2.99295i 0.451121 + 0.360309i
\(70\) −5.38711 + 0.0420837i −0.643883 + 0.00502997i
\(71\) −1.01704 7.07367i −0.120700 0.839490i −0.956766 0.290860i \(-0.906059\pi\)
0.836065 0.548630i \(-0.184850\pi\)
\(72\) −2.05979 + 0.196686i −0.242748 + 0.0231797i
\(73\) 6.33197 + 1.53612i 0.741101 + 0.179789i 0.588498 0.808499i \(-0.299719\pi\)
0.152602 + 0.988288i \(0.451235\pi\)
\(74\) 19.3107 6.68350i 2.24482 0.776941i
\(75\) −4.04206 + 0.980592i −0.466736 + 0.113229i
\(76\) −2.32669 + 1.49527i −0.266890 + 0.171520i
\(77\) −7.61743 + 3.55094i −0.868086 + 0.404667i
\(78\) 3.39827 + 3.92182i 0.384779 + 0.444058i
\(79\) −2.20102 0.104847i −0.247634 0.0117963i −0.0766020 0.997062i \(-0.524407\pi\)
−0.171032 + 0.985266i \(0.554710\pi\)
\(80\) 0.914167 + 0.718909i 0.102207 + 0.0803764i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) 14.4958 + 0.690519i 1.60079 + 0.0762551i
\(83\) −2.33328 2.69275i −0.256111 0.295568i 0.613104 0.790002i \(-0.289921\pi\)
−0.869215 + 0.494434i \(0.835375\pi\)
\(84\) −0.676976 + 7.72705i −0.0738641 + 0.843090i
\(85\) 0.349700 0.224739i 0.0379303 0.0243763i
\(86\) −13.8091 + 3.35005i −1.48907 + 0.361245i
\(87\) 1.06772 0.369540i 0.114471 0.0396189i
\(88\) −6.38755 1.54960i −0.680915 0.165188i
\(89\) −17.1882 + 1.64128i −1.82195 + 0.173975i −0.949299 0.314373i \(-0.898206\pi\)
−0.872649 + 0.488348i \(0.837600\pi\)
\(90\) −0.289781 2.01547i −0.0305456 0.212450i
\(91\) 5.32982 3.13294i 0.558717 0.328421i
\(92\) 14.0488 0.562990i 1.46469 0.0586957i
\(93\) 3.21400 + 5.56681i 0.333276 + 0.577252i
\(94\) −9.60149 + 23.9834i −0.990318 + 2.47369i
\(95\) −0.501739 0.704594i −0.0514773 0.0722898i
\(96\) 4.79957 5.03364i 0.489854 0.513744i
\(97\) 1.30470 1.50570i 0.132472 0.152881i −0.685638 0.727943i \(-0.740477\pi\)
0.818110 + 0.575062i \(0.195022\pi\)
\(98\) 14.9822 + 4.14605i 1.51343 + 0.418814i
\(99\) −1.71739 2.67230i −0.172604 0.268577i
\(100\) −7.07320 + 9.93292i −0.707320 + 0.993292i
\(101\) 2.42509 + 12.5826i 0.241305 + 1.25201i 0.877158 + 0.480201i \(0.159436\pi\)
−0.635853 + 0.771810i \(0.719352\pi\)
\(102\) −0.461348 0.894890i −0.0456802 0.0886073i
\(103\) 11.4637 4.58938i 1.12955 0.452205i 0.269801 0.962916i \(-0.413042\pi\)
0.859752 + 0.510711i \(0.170618\pi\)
\(104\) 4.78586 + 0.688102i 0.469292 + 0.0674740i
\(105\) −2.42396 0.0964958i −0.236554 0.00941702i
\(106\) −11.0496 + 9.57452i −1.07323 + 0.929960i
\(107\) −9.99407 7.11674i −0.966163 0.688001i −0.0160380 0.999871i \(-0.505105\pi\)
−0.950125 + 0.311870i \(0.899045\pi\)
\(108\) −2.92842 + 0.139498i −0.281787 + 0.0134232i
\(109\) 0.674431 + 0.707323i 0.0645988 + 0.0677492i 0.755240 0.655448i \(-0.227520\pi\)
−0.690641 + 0.723197i \(0.742672\pi\)
\(110\) 1.22410 6.35125i 0.116714 0.605568i
\(111\) 8.82893 2.59241i 0.838005 0.246060i
\(112\) −1.96788 2.71830i −0.185947 0.256855i
\(113\) 11.9477 1.71782i 1.12395 0.161599i 0.444821 0.895620i \(-0.353267\pi\)
0.679128 + 0.734020i \(0.262358\pi\)
\(114\) −1.81434 + 1.04751i −0.169928 + 0.0981080i
\(115\) 0.384938 + 4.38040i 0.0358957 + 0.408474i
\(116\) 1.65622 2.86866i 0.153776 0.266349i
\(117\) 1.44447 + 1.83680i 0.133542 + 0.169812i
\(118\) −0.721907 0.329684i −0.0664570 0.0303499i
\(119\) −1.14823 + 0.346916i −0.105258 + 0.0318017i
\(120\) −1.43381 1.24240i −0.130888 0.113415i
\(121\) 0.214394 + 0.883742i 0.0194903 + 0.0803402i
\(122\) 0.299472 + 6.28670i 0.0271130 + 0.569171i
\(123\) 6.50524 + 0.621175i 0.586557 + 0.0560094i
\(124\) 17.8087 + 6.16367i 1.59927 + 0.553514i
\(125\) −7.06496 4.54037i −0.631909 0.406103i
\(126\) −0.790723 + 5.82211i −0.0704432 + 0.518674i
\(127\) 1.83367 12.7535i 0.162712 1.13169i −0.730781 0.682612i \(-0.760844\pi\)
0.893493 0.449076i \(-0.148247\pi\)
\(128\) 0.702164 14.7402i 0.0620631 1.30287i
\(129\) −6.28294 + 1.21094i −0.553182 + 0.106617i
\(130\) −0.452282 + 4.73651i −0.0396678 + 0.415420i
\(131\) −1.21179 + 2.35055i −0.105875 + 0.205369i −0.935822 0.352474i \(-0.885341\pi\)
0.829947 + 0.557843i \(0.188371\pi\)
\(132\) −8.93564 2.62374i −0.777748 0.228367i
\(133\) 0.834746 + 2.35223i 0.0723816 + 0.203964i
\(134\) −7.40113 25.2059i −0.639360 2.17746i
\(135\) −0.0871566 0.912745i −0.00750124 0.0785566i
\(136\) −0.870887 0.348651i −0.0746780 0.0298965i
\(137\) −9.81120 5.66450i −0.838227 0.483951i 0.0184341 0.999830i \(-0.494132\pi\)
−0.856661 + 0.515879i \(0.827465\pi\)
\(138\) 10.6500 + 0.0803836i 0.906592 + 0.00684270i
\(139\) 4.02467i 0.341368i −0.985326 0.170684i \(-0.945402\pi\)
0.985326 0.170684i \(-0.0545977\pi\)
\(140\) −5.55593 + 4.43991i −0.469562 + 0.375241i
\(141\) −4.83250 + 10.5817i −0.406970 + 0.891140i
\(142\) −11.4859 10.9518i −0.963879 0.919057i
\(143\) 2.42776 + 7.01456i 0.203020 + 0.586587i
\(144\) 0.917978 0.875290i 0.0764981 0.0729408i
\(145\) 0.920800 + 0.474706i 0.0764683 + 0.0394221i
\(146\) 13.1620 6.01089i 1.08930 0.497465i
\(147\) 6.64997 + 2.18585i 0.548480 + 0.180286i
\(148\) 14.5848 22.6944i 1.19886 1.86547i
\(149\) −5.03416 12.5747i −0.412415 1.03016i −0.978579 0.205870i \(-0.933998\pi\)
0.566165 0.824292i \(-0.308427\pi\)
\(150\) −5.70979 + 7.26059i −0.466203 + 0.592825i
\(151\) 7.13685 3.67930i 0.580789 0.299418i −0.142686 0.989768i \(-0.545574\pi\)
0.723475 + 0.690350i \(0.242544\pi\)
\(152\) −0.638437 + 1.84464i −0.0517841 + 0.149620i
\(153\) −0.188335 0.412396i −0.0152260 0.0333402i
\(154\) −8.42255 + 16.6557i −0.678709 + 1.34215i
\(155\) −1.66048 + 5.65507i −0.133373 + 0.454227i
\(156\) 6.72689 + 1.29650i 0.538582 + 0.103803i
\(157\) 1.42059 5.85576i 0.113376 0.467340i −0.886613 0.462512i \(-0.846948\pi\)
0.999988 0.00482796i \(-0.00153679\pi\)
\(158\) −3.98609 + 2.83848i −0.317116 + 0.225818i
\(159\) −5.17511 + 4.06975i −0.410413 + 0.322753i
\(160\) 6.37710 0.504154
\(161\) 2.39804 12.4599i 0.188992 0.981979i
\(162\) −2.22075 −0.174479
\(163\) −13.1335 + 10.3283i −1.02870 + 0.808976i −0.981799 0.189924i \(-0.939176\pi\)
−0.0468978 + 0.998900i \(0.514934\pi\)
\(164\) 15.6060 11.1130i 1.21862 0.867776i
\(165\) 0.686669 2.83049i 0.0534571 0.220353i
\(166\) −7.76959 1.49747i −0.603037 0.116226i
\(167\) 0.671082 2.28550i 0.0519299 0.176857i −0.929444 0.368962i \(-0.879713\pi\)
0.981374 + 0.192105i \(0.0615314\pi\)
\(168\) 2.99561 + 4.58216i 0.231116 + 0.353521i
\(169\) 3.13209 + 6.85833i 0.240930 + 0.527564i
\(170\) 0.301930 0.872370i 0.0231570 0.0669077i
\(171\) −0.838510 + 0.432282i −0.0641225 + 0.0330574i
\(172\) −11.5960 + 14.7455i −0.884187 + 1.12434i
\(173\) −4.08394 10.2012i −0.310496 0.775581i −0.998744 0.0501059i \(-0.984044\pi\)
0.688248 0.725476i \(-0.258380\pi\)
\(174\) 1.35654 2.11082i 0.102839 0.160021i
\(175\) 7.27115 + 8.26008i 0.549647 + 0.624403i
\(176\) 3.66503 1.67376i 0.276262 0.126165i
\(177\) −0.317641 0.163756i −0.0238754 0.0123086i
\(178\) −27.7512 + 26.4607i −2.08004 + 1.98331i
\(179\) −0.462537 1.33641i −0.0345716 0.0998881i 0.926394 0.376555i \(-0.122891\pi\)
−0.960966 + 0.276667i \(0.910770\pi\)
\(180\) −1.94547 1.85500i −0.145007 0.138264i
\(181\) −5.70271 + 12.4872i −0.423879 + 0.928165i 0.570402 + 0.821366i \(0.306788\pi\)
−0.994281 + 0.106799i \(0.965940\pi\)
\(182\) 5.00306 12.7856i 0.370851 0.947732i
\(183\) 2.83410i 0.209503i
\(184\) 7.54838 6.44161i 0.556474 0.474882i
\(185\) 7.30663 + 4.21848i 0.537194 + 0.310149i
\(186\) 13.2525 + 5.30548i 0.971717 + 0.389017i
\(187\) −0.136895 1.43363i −0.0100107 0.104837i
\(188\) 9.60842 + 32.7233i 0.700766 + 2.38659i
\(189\) −0.480402 + 2.60177i −0.0349441 + 0.189251i
\(190\) −1.84310 0.541183i −0.133713 0.0392616i
\(191\) 0.629705 1.22146i 0.0455639 0.0883816i −0.864954 0.501851i \(-0.832653\pi\)
0.910518 + 0.413469i \(0.135683\pi\)
\(192\) 1.22706 12.8503i 0.0885551 0.927391i
\(193\) 3.79782 0.731970i 0.273373 0.0526883i −0.0507222 0.998713i \(-0.516152\pi\)
0.324095 + 0.946024i \(0.394940\pi\)
\(194\) 0.210525 4.41946i 0.0151148 0.317299i
\(195\) −0.304916 + 2.12074i −0.0218355 + 0.151869i
\(196\) 18.9306 7.92404i 1.35219 0.566003i
\(197\) −2.97766 1.91363i −0.212149 0.136340i 0.430251 0.902709i \(-0.358425\pi\)
−0.642401 + 0.766369i \(0.722061\pi\)
\(198\) −6.66640 2.30726i −0.473760 0.163970i
\(199\) −4.92186 0.469981i −0.348902 0.0333161i −0.0808658 0.996725i \(-0.525769\pi\)
−0.268036 + 0.963409i \(0.586375\pi\)
\(200\) 0.409502 + 8.59650i 0.0289561 + 0.607864i
\(201\) −2.78888 11.4959i −0.196712 0.810859i
\(202\) 21.5064 + 18.6354i 1.51318 + 1.31118i
\(203\) −2.17952 2.04590i −0.152972 0.143594i
\(204\) −1.20904 0.552148i −0.0846494 0.0386581i
\(205\) 3.70386 + 4.70984i 0.258689 + 0.328950i
\(206\) 13.7112 23.7485i 0.955304 1.65463i
\(207\) 4.78854 + 0.264344i 0.332827 + 0.0183732i
\(208\) −2.56681 + 1.48195i −0.177976 + 0.102754i
\(209\) −2.96622 + 0.426477i −0.205177 + 0.0295001i
\(210\) −4.36380 + 3.15911i −0.301131 + 0.218000i
\(211\) −10.0098 + 2.93915i −0.689104 + 0.202339i −0.607493 0.794325i \(-0.707825\pi\)
−0.0816109 + 0.996664i \(0.526006\pi\)
\(212\) −3.65285 + 18.9528i −0.250879 + 1.30168i
\(213\) −4.93159 5.17210i −0.337907 0.354386i
\(214\) −27.2156 + 1.29644i −1.86042 + 0.0886228i
\(215\) −4.77898 3.40309i −0.325924 0.232089i
\(216\) −1.56376 + 1.35501i −0.106401 + 0.0921967i
\(217\) 9.08258 14.3785i 0.616566 0.976076i
\(218\) 2.14830 + 0.308879i 0.145501 + 0.0209199i
\(219\) 6.04890 2.42162i 0.408747 0.163638i
\(220\) −3.91277 7.58972i −0.263799 0.511699i
\(221\) 0.200492 + 1.04025i 0.0134865 + 0.0699747i
\(222\) 11.8532 16.6455i 0.795537 1.11717i
\(223\) −6.86292 10.6789i −0.459575 0.715113i 0.531698 0.846934i \(-0.321554\pi\)
−0.991274 + 0.131821i \(0.957918\pi\)
\(224\) −17.6960 5.04621i −1.18237 0.337164i
\(225\) −2.72376 + 3.14339i −0.181584 + 0.209559i
\(226\) 18.4981 19.4003i 1.23048 1.29049i
\(227\) −13.3473 18.7437i −0.885894 1.24406i −0.968884 0.247514i \(-0.920386\pi\)
0.0829898 0.996550i \(-0.473553\pi\)
\(228\) −1.02792 + 2.56763i −0.0680759 + 0.170045i
\(229\) 5.46176 + 9.46005i 0.360923 + 0.625137i 0.988113 0.153729i \(-0.0491283\pi\)
−0.627190 + 0.778866i \(0.715795\pi\)
\(230\) 6.68527 + 7.11812i 0.440814 + 0.469355i
\(231\) −4.14523 + 7.31105i −0.272736 + 0.481032i
\(232\) −0.332711 2.31406i −0.0218436 0.151925i
\(233\) −25.0482 + 2.39181i −1.64096 + 0.156693i −0.874309 0.485369i \(-0.838685\pi\)
−0.766653 + 0.642062i \(0.778079\pi\)
\(234\) 5.04303 + 1.22343i 0.329673 + 0.0799778i
\(235\) −10.0796 + 3.48858i −0.657519 + 0.227570i
\(236\) −1.01818 + 0.247007i −0.0662776 + 0.0160788i
\(237\) −1.85371 + 1.19131i −0.120412 + 0.0773838i
\(238\) −1.52814 + 2.18185i −0.0990548 + 0.141428i
\(239\) 14.7153 + 16.9824i 0.951857 + 1.09850i 0.995044 + 0.0994340i \(0.0317032\pi\)
−0.0431876 + 0.999067i \(0.513751\pi\)
\(240\) 1.16167 + 0.0553370i 0.0749852 + 0.00357199i
\(241\) −16.5687 13.0298i −1.06728 0.839322i −0.0797639 0.996814i \(-0.525417\pi\)
−0.987520 + 0.157492i \(0.949659\pi\)
\(242\) 1.58743 + 1.24837i 0.102044 + 0.0802483i
\(243\) −0.998867 0.0475819i −0.0640774 0.00305238i
\(244\) 5.44113 + 6.27939i 0.348332 + 0.401997i
\(245\) 2.75713 + 5.79590i 0.176147 + 0.370287i
\(246\) 12.2085 7.84590i 0.778383 0.500236i
\(247\) 2.14229 0.519714i 0.136311 0.0330686i
\(248\) 12.5690 4.35018i 0.798134 0.276237i
\(249\) −3.46258 0.840014i −0.219432 0.0532337i
\(250\) −18.5657 + 1.77281i −1.17420 + 0.112122i
\(251\) −0.00893465 0.0621418i −0.000563950 0.00392236i 0.989538 0.144276i \(-0.0460852\pi\)
−0.990101 + 0.140353i \(0.955176\pi\)
\(252\) 3.93068 + 6.68695i 0.247610 + 0.421238i
\(253\) 14.0999 + 5.76861i 0.886454 + 0.362669i
\(254\) −14.3068 24.7801i −0.897687 1.55484i
\(255\) 0.154496 0.385912i 0.00967492 0.0241668i
\(256\) −4.03372 5.66457i −0.252107 0.354035i
\(257\) −20.3066 + 21.2969i −1.26669 + 1.32847i −0.345969 + 0.938246i \(0.612450\pi\)
−0.920721 + 0.390220i \(0.872399\pi\)
\(258\) −9.30533 + 10.7389i −0.579325 + 0.668576i
\(259\) −16.9373 17.4877i −1.05243 1.08664i
\(260\) 3.39597 + 5.28423i 0.210609 + 0.327714i
\(261\) 0.655382 0.920355i 0.0405671 0.0569685i
\(262\) 1.11144 + 5.76672i 0.0686652 + 0.356269i
\(263\) 8.65062 + 16.7799i 0.533420 + 1.03469i 0.989470 + 0.144736i \(0.0462334\pi\)
−0.456050 + 0.889954i \(0.650736\pi\)
\(264\) −6.10201 + 2.44287i −0.375552 + 0.150349i
\(265\) −5.97510 0.859090i −0.367048 0.0527735i
\(266\) 4.68624 + 2.96019i 0.287332 + 0.181501i
\(267\) −13.0491 + 11.3071i −0.798591 + 0.691983i
\(268\) −28.2500 20.1167i −1.72564 1.22882i
\(269\) 11.5593 0.550638i 0.704784 0.0335730i 0.307870 0.951429i \(-0.400384\pi\)
0.396915 + 0.917856i \(0.370081\pi\)
\(270\) −1.40514 1.47367i −0.0855140 0.0896845i
\(271\) 4.99405 25.9116i 0.303367 1.57402i −0.435514 0.900182i \(-0.643433\pi\)
0.738881 0.673836i \(-0.235354\pi\)
\(272\) 0.551751 0.162009i 0.0334548 0.00982322i
\(273\) 2.52426 5.64361i 0.152775 0.341567i
\(274\) −24.9028 + 3.58048i −1.50443 + 0.216305i
\(275\) −11.4422 + 6.60616i −0.689991 + 0.398367i
\(276\) 11.1173 8.60773i 0.669182 0.518124i
\(277\) 5.18958 8.98861i 0.311811 0.540073i −0.666943 0.745109i \(-0.732398\pi\)
0.978755 + 0.205035i \(0.0657310\pi\)
\(278\) −5.52497 7.02557i −0.331366 0.421366i
\(279\) 5.84712 + 2.67029i 0.350058 + 0.159866i
\(280\) −1.14526 + 4.88713i −0.0684422 + 0.292062i
\(281\) 15.2308 + 13.1976i 0.908593 + 0.787301i 0.977634 0.210313i \(-0.0674484\pi\)
−0.0690407 + 0.997614i \(0.521994\pi\)
\(282\) 6.09057 + 25.1057i 0.362688 + 1.49502i
\(283\) −0.375361 7.87979i −0.0223129 0.468405i −0.982179 0.187947i \(-0.939817\pi\)
0.959866 0.280458i \(-0.0904863\pi\)
\(284\) −20.8565 1.99156i −1.23761 0.118177i
\(285\) −0.817409 0.282908i −0.0484191 0.0167580i
\(286\) 13.8674 + 8.91204i 0.819997 + 0.526980i
\(287\) −6.55106 16.0004i −0.386697 0.944471i
\(288\) 0.989813 6.88430i 0.0583253 0.405661i
\(289\) −0.799113 + 16.7754i −0.0470066 + 0.986790i
\(290\) 2.25904 0.435394i 0.132655 0.0255672i
\(291\) 0.189383 1.98331i 0.0111018 0.116264i
\(292\) 8.75310 16.9786i 0.512236 0.993600i
\(293\) −9.92861 2.91530i −0.580036 0.170314i −0.0214634 0.999770i \(-0.506833\pi\)
−0.558572 + 0.829456i \(0.688651\pi\)
\(294\) 14.6091 5.31324i 0.852018 0.309875i
\(295\) −0.0923152 0.314397i −0.00537480 0.0183049i
\(296\) −1.80984 18.9535i −0.105195 1.10165i
\(297\) −2.94903 1.18061i −0.171120 0.0685061i
\(298\) −26.0501 15.0400i −1.50904 0.871245i
\(299\) −10.7285 3.23832i −0.620445 0.187277i
\(300\) 12.1940i 0.704020i
\(301\) 10.5685 + 13.2250i 0.609156 + 0.762274i
\(302\) 7.40743 16.2200i 0.426250 0.933357i
\(303\) 9.27402 + 8.84276i 0.532778 + 0.508003i
\(304\) −0.391361 1.13076i −0.0224461 0.0648538i
\(305\) −1.88068 + 1.79322i −0.107687 + 0.102680i
\(306\) −0.894890 0.461348i −0.0511575 0.0263735i
\(307\) 20.8224 9.50927i 1.18840 0.542723i 0.279663 0.960098i \(-0.409777\pi\)
0.908734 + 0.417375i \(0.137050\pi\)
\(308\) 4.85192 + 24.1571i 0.276464 + 1.37648i
\(309\) 6.67596 10.3880i 0.379782 0.590953i
\(310\) 4.86458 + 12.1511i 0.276289 + 0.690138i
\(311\) 10.3304 13.1361i 0.585782 0.744882i −0.399328 0.916808i \(-0.630757\pi\)
0.985110 + 0.171926i \(0.0549990\pi\)
\(312\) 4.29758 2.21556i 0.243303 0.125431i
\(313\) −0.290901 + 0.840503i −0.0164427 + 0.0475080i −0.952924 0.303211i \(-0.901941\pi\)
0.936481 + 0.350719i \(0.114063\pi\)
\(314\) −5.55883 12.1721i −0.313703 0.686913i
\(315\) −2.03047 + 1.32743i −0.114404 + 0.0747923i
\(316\) −1.82003 + 6.19844i −0.102384 + 0.348690i
\(317\) 9.32471 + 1.79719i 0.523728 + 0.100940i 0.444261 0.895897i \(-0.353466\pi\)
0.0794667 + 0.996838i \(0.474678\pi\)
\(318\) −3.44696 + 14.2086i −0.193296 + 0.796777i
\(319\) 2.92358 2.08187i 0.163689 0.116562i
\(320\) 9.30372 7.31653i 0.520094 0.409006i
\(321\) −12.2690 −0.684791
\(322\) −12.9186 25.0424i −0.719926 1.39556i
\(323\) −0.427696 −0.0237976
\(324\) −2.30450 + 1.81228i −0.128028 + 0.100682i
\(325\) 7.91701 5.63768i 0.439157 0.312722i
\(326\) −8.74777 + 36.0588i −0.484494 + 1.99711i
\(327\) 0.959663 + 0.184960i 0.0530695 + 0.0102283i
\(328\) 3.80947 12.9739i 0.210343 0.716362i
\(329\) 30.7307 1.70458i 1.69424 0.0939766i
\(330\) −2.68696 5.88363i −0.147912 0.323883i
\(331\) 6.21746 17.9642i 0.341743 0.987400i −0.634912 0.772585i \(-0.718964\pi\)
0.976655 0.214816i \(-0.0689152\pi\)
\(332\) −9.28463 + 4.78656i −0.509560 + 0.262697i
\(333\) 5.68809 7.23299i 0.311705 0.396365i
\(334\) −1.96602 4.91087i −0.107576 0.268711i
\(335\) 5.86395 9.12449i 0.320382 0.498524i
\(336\) −3.17976 1.07278i −0.173470 0.0585251i
\(337\) −11.1607 + 5.09690i −0.607960 + 0.277646i −0.695513 0.718514i \(-0.744823\pi\)
0.0875527 + 0.996160i \(0.472095\pi\)
\(338\) 14.8824 + 7.67243i 0.809498 + 0.417325i
\(339\) 8.73590 8.32967i 0.474469 0.452405i
\(340\) −0.398595 1.15166i −0.0216168 0.0624578i
\(341\) 14.7779 + 14.0907i 0.800271 + 0.763057i
\(342\) −0.870300 + 1.90569i −0.0470604 + 0.103048i
\(343\) −3.06455 18.2650i −0.165470 0.986215i
\(344\) 13.2396i 0.713834i
\(345\) 2.85444 + 3.34488i 0.153678 + 0.180082i
\(346\) −21.1330 12.2011i −1.13612 0.655937i
\(347\) −8.69229 3.47987i −0.466627 0.186809i 0.126421 0.991977i \(-0.459651\pi\)
−0.593047 + 0.805168i \(0.702075\pi\)
\(348\) −0.314868 3.29745i −0.0168787 0.176762i
\(349\) −9.34616 31.8301i −0.500288 1.70383i −0.691587 0.722294i \(-0.743088\pi\)
0.191298 0.981532i \(-0.438730\pi\)
\(350\) 24.0320 + 4.43737i 1.28456 + 0.237187i
\(351\) 2.24208 + 0.658334i 0.119673 + 0.0351393i
\(352\) 10.1238 19.6374i 0.539599 1.04668i
\(353\) −0.650873 + 6.81625i −0.0346424 + 0.362792i 0.961484 + 0.274861i \(0.0886317\pi\)
−0.996127 + 0.0879315i \(0.971974\pi\)
\(354\) −0.779284 + 0.150195i −0.0414185 + 0.00798276i
\(355\) 0.311781 6.54510i 0.0165476 0.347378i
\(356\) −7.20406 + 50.1053i −0.381814 + 2.65558i
\(357\) −0.734089 + 0.948628i −0.0388521 + 0.0502067i
\(358\) −2.64201 1.69792i −0.139635 0.0897378i
\(359\) 0.543217 + 0.188009i 0.0286699 + 0.00992275i 0.341365 0.939931i \(-0.389111\pi\)
−0.312695 + 0.949853i \(0.601232\pi\)
\(360\) −1.88861 0.180341i −0.0995386 0.00950479i
\(361\) −0.861710 18.0895i −0.0453532 0.952080i
\(362\) 7.18732 + 29.6265i 0.377757 + 1.55714i
\(363\) 0.687261 + 0.595515i 0.0360718 + 0.0312564i
\(364\) −5.24216 17.3506i −0.274764 0.909419i
\(365\) 5.43429 + 2.48176i 0.284444 + 0.129901i
\(366\) 3.89059 + 4.94728i 0.203364 + 0.258599i
\(367\) 0.511206 0.885435i 0.0266847 0.0462193i −0.852375 0.522932i \(-0.824838\pi\)
0.879059 + 0.476712i \(0.158172\pi\)
\(368\) −1.19626 + 5.96420i −0.0623595 + 0.310906i
\(369\) 5.65933 3.26741i 0.294613 0.170095i
\(370\) 18.5457 2.66647i 0.964145 0.138623i
\(371\) 15.9007 + 7.11202i 0.825523 + 0.369238i
\(372\) 18.0819 5.30931i 0.937501 0.275275i
\(373\) −5.99038 + 31.0811i −0.310170 + 1.60932i 0.407684 + 0.913123i \(0.366336\pi\)
−0.717854 + 0.696193i \(0.754876\pi\)
\(374\) −2.20702 2.31465i −0.114122 0.119688i
\(375\) −8.38862 + 0.399599i −0.433186 + 0.0206352i
\(376\) 19.6072 + 13.9622i 1.01116 + 0.720046i
\(377\) −1.99531 + 1.72895i −0.102764 + 0.0890453i
\(378\) 2.73305 + 5.20121i 0.140573 + 0.267521i
\(379\) 35.7088 + 5.13415i 1.83424 + 0.263723i 0.970653 0.240483i \(-0.0773058\pi\)
0.863583 + 0.504206i \(0.168215\pi\)
\(380\) −2.35425 + 0.942499i −0.120770 + 0.0483492i
\(381\) −5.90408 11.4523i −0.302475 0.586720i
\(382\) −0.577558 2.99666i −0.0295505 0.153322i
\(383\) −14.8382 + 20.8374i −0.758198 + 1.06474i 0.237437 + 0.971403i \(0.423693\pi\)
−0.995635 + 0.0933369i \(0.970247\pi\)
\(384\) −7.97821 12.4143i −0.407136 0.633516i
\(385\) −7.47435 + 1.87520i −0.380928 + 0.0955691i
\(386\) 5.62475 6.49131i 0.286292 0.330399i
\(387\) −4.41552 + 4.63086i −0.224453 + 0.235400i
\(388\) −3.38811 4.75793i −0.172005 0.241547i
\(389\) 9.48975 23.7043i 0.481150 1.20185i −0.467065 0.884223i \(-0.654689\pi\)
0.948215 0.317630i \(-0.102887\pi\)
\(390\) 2.37903 + 4.12060i 0.120467 + 0.208655i
\(391\) 1.87471 + 1.10131i 0.0948081 + 0.0556958i
\(392\) 7.04520 12.6552i 0.355836 0.639185i
\(393\) 0.376356 + 2.61761i 0.0189847 + 0.132041i
\(394\) −7.82487 + 0.747185i −0.394211 + 0.0376426i
\(395\) −1.96344 0.476326i −0.0987915 0.0239666i
\(396\) −8.80068 + 3.04595i −0.442251 + 0.153065i
\(397\) −18.4380 + 4.47302i −0.925379 + 0.224494i −0.670012 0.742350i \(-0.733711\pi\)
−0.255366 + 0.966844i \(0.582196\pi\)
\(398\) −9.23693 + 5.93621i −0.463005 + 0.297555i
\(399\) 2.04439 + 1.43187i 0.102347 + 0.0716830i
\(400\) −3.45480 3.98705i −0.172740 0.199352i
\(401\) −9.18945 0.437747i −0.458899 0.0218601i −0.183140 0.983087i \(-0.558626\pi\)
−0.275759 + 0.961227i \(0.588929\pi\)
\(402\) −20.6497 16.2391i −1.02991 0.809931i
\(403\) −11.8069 9.28508i −0.588145 0.462523i
\(404\) 37.5251 + 1.78754i 1.86694 + 0.0889335i
\(405\) −0.600440 0.692944i −0.0298361 0.0344327i
\(406\) −6.61321 0.579391i −0.328208 0.0287547i
\(407\) 24.5896 15.8028i 1.21886 0.783315i
\(408\) −0.911641 + 0.221162i −0.0451330 + 0.0109491i
\(409\) 36.4121 12.6023i 1.80046 0.623145i 0.800752 0.598996i \(-0.204434\pi\)
0.999708 0.0241491i \(-0.00768765\pi\)
\(410\) 12.9311 + 3.13706i 0.638623 + 0.154928i
\(411\) −11.2777 + 1.07689i −0.556288 + 0.0531190i
\(412\) −5.15205 35.8333i −0.253823 1.76538i
\(413\) 0.00738600 + 0.945478i 0.000363441 + 0.0465239i
\(414\) 8.72190 6.11215i 0.428658 0.300396i
\(415\) −1.63346 2.82924i −0.0801834 0.138882i
\(416\) −6.04033 + 15.0880i −0.296152 + 0.739751i
\(417\) −2.33454 3.27840i −0.114323 0.160544i
\(418\) −4.59245 + 4.81643i −0.224624 + 0.235579i
\(419\) −2.49072 + 2.87445i −0.121680 + 0.140426i −0.813321 0.581815i \(-0.802343\pi\)
0.691641 + 0.722241i \(0.256888\pi\)
\(420\) −1.95033 + 6.83940i −0.0951662 + 0.333729i
\(421\) 15.3649 + 23.9082i 0.748837 + 1.16521i 0.981277 + 0.192602i \(0.0616928\pi\)
−0.232440 + 0.972611i \(0.574671\pi\)
\(422\) −13.4386 + 18.8719i −0.654182 + 0.918670i
\(423\) 2.20155 + 11.4227i 0.107043 + 0.555392i
\(424\) 6.24226 + 12.1083i 0.303151 + 0.588031i
\(425\) −1.75061 + 0.700837i −0.0849169 + 0.0339956i
\(426\) −15.7089 2.25859i −0.761097 0.109429i
\(427\) 6.63773 3.48789i 0.321222 0.168791i
\(428\) −27.1840 + 23.5551i −1.31399 + 1.13858i
\(429\) 6.04644 + 4.30565i 0.291925 + 0.207879i
\(430\) −13.0140 + 0.619934i −0.627591 + 0.0298959i
\(431\) 20.7189 + 21.7293i 0.997993 + 1.04666i 0.998911 + 0.0466650i \(0.0148593\pi\)
−0.000917910 1.00000i \(0.500292\pi\)
\(432\) 0.240045 1.24547i 0.0115491 0.0599227i
\(433\) 32.3121 9.48769i 1.55282 0.455949i 0.610878 0.791724i \(-0.290816\pi\)
0.941942 + 0.335775i \(0.108998\pi\)
\(434\) −3.88367 37.5679i −0.186422 1.80332i
\(435\) 1.02542 0.147433i 0.0491650 0.00706886i
\(436\) 2.48139 1.43263i 0.118837 0.0686105i
\(437\) 2.10344 4.00559i 0.100621 0.191613i
\(438\) 7.23480 12.5310i 0.345692 0.598756i
\(439\) 22.1334 + 28.1449i 1.05637 + 1.34328i 0.936569 + 0.350484i \(0.113983\pi\)
0.119800 + 0.992798i \(0.461775\pi\)
\(440\) −5.48199 2.50354i −0.261344 0.119352i
\(441\) 6.68482 2.07682i 0.318325 0.0988961i
\(442\) 1.77801 + 1.54066i 0.0845715 + 0.0732817i
\(443\) 7.41866 + 30.5801i 0.352471 + 1.45291i 0.821746 + 0.569854i \(0.193000\pi\)
−0.469274 + 0.883052i \(0.655484\pi\)
\(444\) −1.28361 26.9463i −0.0609174 1.27881i
\(445\) −15.7598 1.50488i −0.747087 0.0713382i
\(446\) −26.6399 9.22015i −1.26143 0.436587i
\(447\) −11.3948 7.32297i −0.538954 0.346365i
\(448\) −31.6068 + 12.9408i −1.49328 + 0.611396i
\(449\) −0.231480 + 1.60998i −0.0109242 + 0.0759795i −0.994554 0.104220i \(-0.966765\pi\)
0.983630 + 0.180200i \(0.0576744\pi\)
\(450\) −0.439503 + 9.22631i −0.0207184 + 0.434932i
\(451\) 20.3832 3.92855i 0.959809 0.184988i
\(452\) 3.36383 35.2276i 0.158221 1.65697i
\(453\) 3.67930 7.13685i 0.172869 0.335319i
\(454\) −49.0305 14.3966i −2.30111 0.675668i
\(455\) 5.34222 1.89582i 0.250447 0.0888774i
\(456\) 0.549943 + 1.87293i 0.0257534 + 0.0877081i
\(457\) 1.75635 + 18.3933i 0.0821586 + 0.860403i 0.938794 + 0.344480i \(0.111945\pi\)
−0.856635 + 0.515923i \(0.827449\pi\)
\(458\) 22.5207 + 9.01595i 1.05233 + 0.421287i
\(459\) −0.392626 0.226683i −0.0183262 0.0105806i
\(460\) 12.7462 + 1.93093i 0.594297 + 0.0900303i
\(461\) 4.31385i 0.200916i 0.994941 + 0.100458i \(0.0320308\pi\)
−0.994941 + 0.100458i \(0.967969\pi\)
\(462\) 2.80042 + 18.4529i 0.130287 + 0.858504i
\(463\) −12.9061 + 28.2605i −0.599799 + 1.31338i 0.329537 + 0.944143i \(0.393107\pi\)
−0.929336 + 0.369235i \(0.879620\pi\)
\(464\) 1.03718 + 0.988953i 0.0481501 + 0.0459110i
\(465\) 1.92768 + 5.56966i 0.0893939 + 0.258287i
\(466\) −40.4414 + 38.5608i −1.87341 + 1.78630i
\(467\) 30.0314 + 15.4823i 1.38969 + 0.716434i 0.980592 0.196058i \(-0.0628141\pi\)
0.409095 + 0.912492i \(0.365844\pi\)
\(468\) 6.23161 2.84588i 0.288056 0.131551i
\(469\) −23.4923 + 20.6797i −1.08477 + 0.954898i
\(470\) −12.8062 + 19.9268i −0.590704 + 0.919154i
\(471\) −2.23949 5.59398i −0.103190 0.257757i
\(472\) −0.457098 + 0.581248i −0.0210396 + 0.0267541i
\(473\) −18.0661 + 9.31370i −0.830678 + 0.428244i
\(474\) −1.60049 + 4.62432i −0.0735130 + 0.212402i
\(475\) 1.63001 + 3.56922i 0.0747898 + 0.163767i
\(476\) 0.194761 + 3.51120i 0.00892684 + 0.160935i
\(477\) −1.85483 + 6.31699i −0.0849270 + 0.289235i
\(478\) 49.0006 + 9.44409i 2.24124 + 0.431963i
\(479\) −0.279045 + 1.15024i −0.0127499 + 0.0525557i −0.977831 0.209395i \(-0.932851\pi\)
0.965081 + 0.261951i \(0.0843657\pi\)
\(480\) 5.19464 3.69908i 0.237102 0.168839i
\(481\) −16.9016 + 13.2915i −0.770646 + 0.606042i
\(482\) −46.8098 −2.13213
\(483\) −5.27407 11.5405i −0.239979 0.525113i
\(484\) 2.66605 0.121184
\(485\) 1.43593 1.12923i 0.0652023 0.0512756i
\(486\) −1.80897 + 1.28816i −0.0820566 + 0.0584322i
\(487\) 3.55404 14.6500i 0.161049 0.663853i −0.832844 0.553508i \(-0.813289\pi\)
0.993893 0.110346i \(-0.0351959\pi\)
\(488\) 5.75822 + 1.10981i 0.260662 + 0.0502386i
\(489\) −4.70724 + 16.0314i −0.212869 + 0.724964i
\(490\) 12.7694 + 6.33256i 0.576863 + 0.286076i
\(491\) −12.7724 27.9677i −0.576412 1.26217i −0.943312 0.331906i \(-0.892308\pi\)
0.366901 0.930260i \(-0.380419\pi\)
\(492\) 6.26610 18.1047i 0.282497 0.816223i
\(493\) 0.455295 0.234721i 0.0205055 0.0105713i
\(494\) 3.02619 3.84811i 0.136155 0.173135i
\(495\) −1.08250 2.70396i −0.0486548 0.121534i
\(496\) −4.40796 + 6.85893i −0.197923 + 0.307975i
\(497\) −6.04431 + 17.9155i −0.271124 + 0.803619i
\(498\) −7.19754 + 3.28700i −0.322529 + 0.147294i
\(499\) −0.364228 0.187772i −0.0163051 0.00840585i 0.450055 0.893001i \(-0.351404\pi\)
−0.466360 + 0.884595i \(0.654435\pi\)
\(500\) −17.8191 + 16.9905i −0.796896 + 0.759839i
\(501\) −0.779071 2.25098i −0.0348063 0.100566i
\(502\) −0.100903 0.0962113i −0.00450354 0.00429412i
\(503\) 7.41616 16.2391i 0.330670 0.724067i −0.669148 0.743129i \(-0.733341\pi\)
0.999818 + 0.0190621i \(0.00606801\pi\)
\(504\) 5.09807 + 1.99489i 0.227086 + 0.0888596i
\(505\) 11.7492i 0.522834i
\(506\) 32.5322 9.28620i 1.44623 0.412822i
\(507\) 6.52955 + 3.76984i 0.289988 + 0.167424i
\(508\) −35.0685 14.0393i −1.55591 0.622893i
\(509\) 2.33345 + 24.4370i 0.103428 + 1.08315i 0.886975 + 0.461818i \(0.152803\pi\)
−0.783546 + 0.621333i \(0.786591\pi\)
\(510\) −0.260079 0.885749i −0.0115165 0.0392216i
\(511\) −13.1160 11.1869i −0.580216 0.494877i
\(512\) 13.5008 + 3.96420i 0.596657 + 0.175194i
\(513\) −0.432282 + 0.838510i −0.0190857 + 0.0370211i
\(514\) −6.21181 + 65.0530i −0.273991 + 2.86936i
\(515\) 11.1175 2.14271i 0.489894 0.0944193i
\(516\) −0.892586 + 18.7377i −0.0392939 + 0.824881i
\(517\) −5.25895 + 36.5768i −0.231288 + 1.60865i
\(518\) −53.5730 7.27596i −2.35386 0.319687i
\(519\) −9.24394 5.94072i −0.405764 0.260769i
\(520\) 4.18943 + 1.44998i 0.183719 + 0.0635857i
\(521\) −7.24929 0.692223i −0.317597 0.0303268i −0.0649597 0.997888i \(-0.520692\pi\)
−0.252637 + 0.967561i \(0.581298\pi\)
\(522\) −0.119389 2.50629i −0.00522553 0.109697i
\(523\) −3.11984 12.8601i −0.136421 0.562335i −0.998459 0.0554914i \(-0.982327\pi\)
0.862038 0.506843i \(-0.169188\pi\)
\(524\) 5.85938 + 5.07718i 0.255968 + 0.221798i
\(525\) 10.7142 + 2.51078i 0.467607 + 0.109580i
\(526\) 38.1358 + 17.4160i 1.66280 + 0.759375i
\(527\) 1.80146 + 2.29074i 0.0784728 + 0.0997863i
\(528\) 2.01457 3.48934i 0.0876729 0.151854i
\(529\) −19.5343 + 12.1413i −0.849318 + 0.527881i
\(530\) −11.6096 + 6.70283i −0.504291 + 0.291152i
\(531\) −0.353731 + 0.0508588i −0.0153506 + 0.00220708i
\(532\) 7.27868 0.752452i 0.315571 0.0326229i
\(533\) −14.6516 + 4.30210i −0.634631 + 0.186345i
\(534\) −7.25673 + 37.6515i −0.314029 + 1.62934i
\(535\) −7.76300 8.14160i −0.335624 0.351992i
\(536\) −24.4491 + 1.16465i −1.05604 + 0.0503053i
\(537\) −1.15197 0.820312i −0.0497110 0.0353991i
\(538\) 19.4224 16.8296i 0.837358 0.725575i
\(539\) 22.2247 + 0.710906i 0.957284 + 0.0306209i
\(540\) −2.66074 0.382557i −0.114500 0.0164626i
\(541\) 14.9798 5.99702i 0.644033 0.257832i −0.0265714 0.999647i \(-0.508459\pi\)
0.670605 + 0.741815i \(0.266035\pi\)
\(542\) −26.8531 52.0878i −1.15344 2.23736i
\(543\) 2.59799 + 13.4797i 0.111490 + 0.578467i
\(544\) 1.82903 2.56852i 0.0784192 0.110124i
\(545\) 0.484471 + 0.753852i 0.0207525 + 0.0322915i
\(546\) −3.34101 13.3169i −0.142982 0.569911i
\(547\) 3.73695 4.31267i 0.159781 0.184397i −0.670214 0.742168i \(-0.733798\pi\)
0.829995 + 0.557771i \(0.188343\pi\)
\(548\) −22.9200 + 24.0378i −0.979095 + 1.02685i
\(549\) 1.64394 + 2.30859i 0.0701616 + 0.0985281i
\(550\) −10.9051 + 27.2395i −0.464993 + 1.16150i
\(551\) −0.532943 0.923084i −0.0227041 0.0393247i
\(552\) 2.41223 9.62567i 0.102671 0.409696i
\(553\) 5.07150 + 2.87544i 0.215662 + 0.122276i
\(554\) −3.28029 22.8149i −0.139366 0.969312i
\(555\) 8.39877 0.801985i 0.356508 0.0340424i
\(556\) −11.4667 2.78178i −0.486295 0.117974i
\(557\) 8.38635 2.90254i 0.355341 0.122985i −0.143565 0.989641i \(-0.545857\pi\)
0.498906 + 0.866656i \(0.333735\pi\)
\(558\) 13.8726 3.36546i 0.587274 0.142471i
\(559\) 12.5782 8.08353i 0.532002 0.341897i
\(560\) −1.30004 2.78884i −0.0549368 0.117850i
\(561\) −0.943097 1.08839i −0.0398176 0.0459519i
\(562\) 44.7046 + 2.12954i 1.88575 + 0.0898294i
\(563\) −4.71587 3.70860i −0.198750 0.156299i 0.513824 0.857896i \(-0.328228\pi\)
−0.712574 + 0.701597i \(0.752471\pi\)
\(564\) 26.8081 + 21.0822i 1.12883 + 0.887719i
\(565\) 11.0550 + 0.526612i 0.465085 + 0.0221547i
\(566\) −11.4724 13.2399i −0.482222 0.556514i
\(567\) 1.11785 + 2.39800i 0.0469453 + 0.100707i
\(568\) −12.4397 + 7.99448i −0.521956 + 0.335441i
\(569\) 44.9389 10.9020i 1.88393 0.457038i 0.883989 0.467507i \(-0.154848\pi\)
0.999945 + 0.0104692i \(0.00333252\pi\)
\(570\) −1.81526 + 0.628269i −0.0760330 + 0.0263153i
\(571\) 33.7122 + 8.17848i 1.41081 + 0.342259i 0.867569 0.497318i \(-0.165682\pi\)
0.543242 + 0.839576i \(0.317197\pi\)
\(572\) 21.6632 2.06858i 0.905783 0.0864918i
\(573\) −0.195572 1.36023i −0.00817015 0.0568246i
\(574\) −33.4006 18.9375i −1.39412 0.790437i
\(575\) 2.04593 19.8421i 0.0853211 0.827473i
\(576\) −6.45438 11.1793i −0.268932 0.465805i
\(577\) 6.42326 16.0445i 0.267404 0.667942i −0.732514 0.680752i \(-0.761653\pi\)
0.999918 + 0.0128094i \(0.00407746\pi\)
\(578\) 21.6340 + 30.3807i 0.899855 + 1.26367i
\(579\) 2.66903 2.79920i 0.110921 0.116331i
\(580\) 1.98892 2.29534i 0.0825856 0.0953088i
\(581\) 2.29396 + 9.14349i 0.0951696 + 0.379336i
\(582\) −2.39205 3.72210i −0.0991537 0.154286i
\(583\) −12.1310 + 17.0356i −0.502416 + 0.705544i
\(584\) −2.55146 13.2382i −0.105580 0.547802i
\(585\) 0.981770 + 1.90437i 0.0405912 + 0.0787360i
\(586\) −21.3337 + 8.54074i −0.881289 + 0.352815i
\(587\) −29.9304 4.30334i −1.23536 0.177618i −0.506475 0.862255i \(-0.669052\pi\)
−0.728884 + 0.684637i \(0.759961\pi\)
\(588\) 10.8240 17.4356i 0.446376 0.719031i
\(589\) 4.58291 3.97111i 0.188835 0.163627i
\(590\) −0.592745 0.422092i −0.0244029 0.0173772i
\(591\) −3.53554 + 0.168419i −0.145433 + 0.00692782i
\(592\) 8.05412 + 8.44692i 0.331022 + 0.347166i
\(593\) −7.66932 + 39.7922i −0.314941 + 1.63407i 0.387174 + 0.922007i \(0.373451\pi\)
−0.702115 + 0.712063i \(0.747761\pi\)
\(594\) −6.76863 + 1.98745i −0.277720 + 0.0815460i
\(595\) −1.09398 + 0.113093i −0.0448488 + 0.00463636i
\(596\) −39.3061 + 5.65137i −1.61004 + 0.231489i
\(597\) −4.28185 + 2.47213i −0.175244 + 0.101177i
\(598\) −23.1735 + 9.07493i −0.947634 + 0.371102i
\(599\) 19.1410 33.1531i 0.782079 1.35460i −0.148650 0.988890i \(-0.547493\pi\)
0.930729 0.365710i \(-0.119174\pi\)
\(600\) 5.32003 + 6.76497i 0.217189 + 0.276179i
\(601\) 31.5873 + 14.4254i 1.28847 + 0.588425i 0.937508 0.347964i \(-0.113127\pi\)
0.350963 + 0.936389i \(0.385854\pi\)
\(602\) 36.6035 + 8.57772i 1.49185 + 0.349602i
\(603\) −8.94003 7.74658i −0.364066 0.315465i
\(604\) −5.54982 22.8767i −0.225819 0.930838i
\(605\) 0.0396740 + 0.832860i 0.00161298 + 0.0338606i
\(606\) 28.3281 + 2.70501i 1.15075 + 0.109883i
\(607\) −39.5408 13.6852i −1.60491 0.555465i −0.629718 0.776824i \(-0.716830\pi\)
−0.975192 + 0.221359i \(0.928951\pi\)
\(608\) −5.51972 3.54731i −0.223854 0.143862i
\(609\) −2.96213 0.402298i −0.120031 0.0163019i
\(610\) −0.821269 + 5.71205i −0.0332522 + 0.231274i
\(611\) 1.29342 27.1523i 0.0523264 1.09847i
\(612\) −1.30513 + 0.251543i −0.0527567 + 0.0101680i
\(613\) 0.241800 2.53225i 0.00976623 0.102277i −0.989274 0.146069i \(-0.953338\pi\)
0.999041 + 0.0437923i \(0.0139440\pi\)
\(614\) 23.2941 45.1842i 0.940072 1.82349i
\(615\) 5.74905 + 1.68807i 0.231824 + 0.0680697i
\(616\) 13.2311 + 11.2851i 0.533096 + 0.454688i
\(617\) −3.45873 11.7793i −0.139243 0.474218i 0.860113 0.510104i \(-0.170393\pi\)
−0.999356 + 0.0358854i \(0.988575\pi\)
\(618\) −2.60666 27.2982i −0.104855 1.09809i
\(619\) 32.1109 + 12.8553i 1.29065 + 0.516697i 0.912511 0.409053i \(-0.134141\pi\)
0.378136 + 0.925750i \(0.376565\pi\)
\(620\) 14.9642 + 8.63956i 0.600975 + 0.346973i
\(621\) 4.05396 2.56230i 0.162680 0.102821i
\(622\) 37.1121i 1.48806i
\(623\) 42.5416 + 16.6467i 1.70439 + 0.666936i
\(624\) −1.23125 + 2.69605i −0.0492893 + 0.107928i
\(625\) 9.47823 + 9.03747i 0.379129 + 0.361499i
\(626\) 0.646019 + 1.86655i 0.0258201 + 0.0746023i
\(627\) −2.16883 + 2.06797i −0.0866146 + 0.0825869i
\(628\) −15.7017 8.09480i −0.626567 0.323018i
\(629\) 3.79472 1.73299i 0.151306 0.0690989i
\(630\) −1.72218 + 5.10459i −0.0686134 + 0.203372i
\(631\) −19.6880 + 30.6352i −0.783768 + 1.21957i 0.187661 + 0.982234i \(0.439909\pi\)
−0.971429 + 0.237332i \(0.923727\pi\)
\(632\) 1.69456 + 4.23281i 0.0674061 + 0.168372i
\(633\) −6.44888 + 8.20042i −0.256320 + 0.325937i
\(634\) 18.7446 9.66353i 0.744444 0.383788i
\(635\) 3.86394 11.1641i 0.153336 0.443035i
\(636\) 8.01817 + 17.5573i 0.317941 + 0.696194i
\(637\) −16.3245 + 1.03347i −0.646798 + 0.0409474i
\(638\) 2.24553 7.64759i 0.0889015 0.302771i
\(639\) −7.01727 1.35247i −0.277599 0.0535028i
\(640\) 3.18996 13.1492i 0.126094 0.519767i
\(641\) 0.300372 0.213894i 0.0118640 0.00844830i −0.574110 0.818779i \(-0.694652\pi\)
0.585974 + 0.810330i \(0.300712\pi\)
\(642\) −21.4172 + 16.8427i −0.845269 + 0.664727i
\(643\) −14.6080 −0.576085 −0.288042 0.957618i \(-0.593004\pi\)
−0.288042 + 0.957618i \(0.593004\pi\)
\(644\) −33.8420 15.4443i −1.33356 0.608592i
\(645\) −5.86683 −0.231006
\(646\) −0.746598 + 0.587131i −0.0293745 + 0.0231004i
\(647\) 28.3161 20.1638i 1.11322 0.792721i 0.133096 0.991103i \(-0.457508\pi\)
0.980125 + 0.198383i \(0.0635688\pi\)
\(648\) −0.487822 + 2.01083i −0.0191635 + 0.0789929i
\(649\) −1.11469 0.214839i −0.0437555 0.00843318i
\(650\) 6.08088 20.7096i 0.238512 0.812297i
\(651\) −0.941898 16.9808i −0.0369159 0.665530i
\(652\) 20.3487 + 44.5574i 0.796916 + 1.74500i
\(653\) −5.36342 + 15.4966i −0.209887 + 0.606429i −0.999978 0.00656033i \(-0.997912\pi\)
0.790092 + 0.612989i \(0.210033\pi\)
\(654\) 1.92912 0.994532i 0.0754347 0.0388893i
\(655\) −1.49889 + 1.90599i −0.0585664 + 0.0744733i
\(656\) 3.08060 + 7.69498i 0.120277 + 0.300438i
\(657\) 3.52262 5.48130i 0.137430 0.213846i
\(658\) 51.3043 45.1619i 2.00005 1.76059i
\(659\) −12.8736 + 5.87918i −0.501485 + 0.229021i −0.650063 0.759880i \(-0.725258\pi\)
0.148578 + 0.988901i \(0.452530\pi\)
\(660\) −7.58972 3.91277i −0.295430 0.152304i
\(661\) −30.8673 + 29.4319i −1.20060 + 1.14477i −0.214830 + 0.976651i \(0.568920\pi\)
−0.985767 + 0.168116i \(0.946232\pi\)
\(662\) −13.8074 39.8940i −0.536641 1.55052i
\(663\) 0.766719 + 0.731066i 0.0297769 + 0.0283922i
\(664\) −3.06262 + 6.70621i −0.118853 + 0.260252i
\(665\) 0.343377 + 2.26262i 0.0133156 + 0.0877407i
\(666\) 20.4346i 0.791824i
\(667\) −0.0408970 + 5.41845i −0.00158354 + 0.209803i
\(668\) −6.04776 3.49168i −0.233995 0.135097i
\(669\) −11.7847 4.71790i −0.455625 0.182405i
\(670\) −2.28961 23.9779i −0.0884553 0.926346i
\(671\) 2.53636 + 8.63805i 0.0979151 + 0.333468i
\(672\) −17.3418 + 6.15418i −0.668976 + 0.237403i
\(673\) −49.1020 14.4176i −1.89274 0.555759i −0.992805 0.119740i \(-0.961794\pi\)
−0.899937 0.436019i \(-0.856388\pi\)
\(674\) −12.4855 + 24.2184i −0.480922 + 0.932858i
\(675\) −0.395367 + 4.14047i −0.0152177 + 0.159367i
\(676\) 21.7049 4.18328i 0.834804 0.160895i
\(677\) 1.77093 37.1764i 0.0680624 1.42881i −0.664083 0.747659i \(-0.731178\pi\)
0.732146 0.681148i \(-0.238519\pi\)
\(678\) 3.81486 26.5330i 0.146509 1.01899i
\(679\) −4.87817 + 1.99728i −0.187207 + 0.0766485i
\(680\) −0.723584 0.465019i −0.0277482 0.0178327i
\(681\) −21.7449 7.52597i −0.833265 0.288396i
\(682\) 45.1403 + 4.31037i 1.72851 + 0.165053i
\(683\) 0.398574 + 8.36709i 0.0152510 + 0.320158i 0.993582 + 0.113112i \(0.0360819\pi\)
−0.978331 + 0.207046i \(0.933615\pi\)
\(684\) 0.652049 + 2.68778i 0.0249317 + 0.102770i
\(685\) −7.85036 6.80238i −0.299947 0.259905i
\(686\) −30.4233 27.6769i −1.16157 1.05671i
\(687\) 9.93638 + 4.53779i 0.379097 + 0.173128i
\(688\) −5.01691 6.37952i −0.191268 0.243217i
\(689\) 7.69214 13.3232i 0.293047 0.507573i
\(690\) 9.57458 + 1.92041i 0.364498 + 0.0731087i
\(691\) 32.8312 18.9551i 1.24896 0.721085i 0.278055 0.960565i \(-0.410310\pi\)
0.970901 + 0.239480i \(0.0769769\pi\)
\(692\) −31.8869 + 4.58464i −1.21216 + 0.174282i
\(693\) 0.864222 + 8.35987i 0.0328291 + 0.317565i
\(694\) −19.9506 + 5.85802i −0.757314 + 0.222367i
\(695\) 0.698376 3.62352i 0.0264909 0.137448i
\(696\) −1.61330 1.69198i −0.0611521 0.0641345i
\(697\) 2.95931 0.140969i 0.112092 0.00533959i
\(698\) −60.0105 42.7333i −2.27143 1.61748i
\(699\) −19.0163 + 16.4777i −0.719262 + 0.623244i
\(700\) 28.5595 15.0070i 1.07945 0.567210i
\(701\) 27.7635 + 3.99179i 1.04861 + 0.150768i 0.645016 0.764169i \(-0.276851\pi\)
0.403597 + 0.914937i \(0.367760\pi\)
\(702\) 4.81758 1.92867i 0.181828 0.0727930i
\(703\) −3.97771 7.71568i −0.150022 0.291002i
\(704\) −7.76037 40.2646i −0.292480 1.51753i
\(705\) −6.18701 + 8.68844i −0.233016 + 0.327226i
\(706\) 8.22101 + 12.7921i 0.309402 + 0.481438i
\(707\) 9.29717 32.6033i 0.349656 1.22617i
\(708\) −0.686104 + 0.791806i −0.0257854 + 0.0297579i
\(709\) −11.2965 + 11.8475i −0.424251 + 0.444941i −0.900818 0.434196i \(-0.857032\pi\)
0.476567 + 0.879138i \(0.341881\pi\)
\(710\) −8.44071 11.8533i −0.316774 0.444847i
\(711\) −0.818963 + 2.04567i −0.0307135 + 0.0767187i
\(712\) 17.8635 + 30.9404i 0.669461 + 1.15954i
\(713\) −30.3137 + 5.60553i −1.13526 + 0.209929i
\(714\) 0.0208086 + 2.66369i 0.000778741 + 0.0996862i
\(715\) 0.968587 + 6.73667i 0.0362231 + 0.251937i
\(716\) −4.12727 + 0.394106i −0.154243 + 0.0147284i
\(717\) 21.8375 + 5.29773i 0.815538 + 0.197847i
\(718\) 1.20635 0.417522i 0.0450206 0.0155818i
\(719\) 3.93226 0.953956i 0.146648 0.0355765i −0.161763 0.986830i \(-0.551718\pi\)
0.308411 + 0.951253i \(0.400203\pi\)
\(720\) 0.978364 0.628756i 0.0364615 0.0234324i
\(721\) −32.5457 2.85137i −1.21207 0.106190i
\(722\) −26.3371 30.3946i −0.980166 1.13117i
\(723\) −21.0545 1.00295i −0.783025 0.0373001i
\(724\) 31.6356 + 24.8785i 1.17573 + 0.924602i
\(725\) −3.69399 2.90499i −0.137191 0.107888i
\(726\) 2.01721 + 0.0960916i 0.0748657 + 0.00356629i
\(727\) −16.3111 18.8240i −0.604944 0.698142i 0.367832 0.929892i \(-0.380100\pi\)
−0.972775 + 0.231750i \(0.925555\pi\)
\(728\) −10.4780 7.33869i −0.388341 0.271990i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 12.8931 3.12784i 0.477197 0.115767i
\(731\) −2.74134 + 0.948788i −0.101392 + 0.0350922i
\(732\) 8.07462 + 1.95888i 0.298446 + 0.0724023i
\(733\) 40.3578 3.85370i 1.49065 0.142340i 0.682313 0.731061i \(-0.260974\pi\)
0.808336 + 0.588721i \(0.200368\pi\)
\(734\) −0.323129 2.24741i −0.0119269 0.0829535i
\(735\) 5.60785 + 3.12191i 0.206849 + 0.115153i
\(736\) 15.0602 + 29.7620i 0.555125 + 1.09704i
\(737\) −18.7884 32.5425i −0.692080 1.19872i
\(738\) 5.39365 13.4727i 0.198543 0.495936i
\(739\) −5.35545 7.52068i −0.197003 0.276653i 0.704243 0.709959i \(-0.251286\pi\)
−0.901247 + 0.433306i \(0.857347\pi\)
\(740\) 17.0691 17.9015i 0.627472 0.658074i
\(741\) 1.44359 1.66600i 0.0530318 0.0612019i
\(742\) 37.5199 9.41318i 1.37740 0.345569i
\(743\) 1.90010 + 2.95661i 0.0697079 + 0.108468i 0.874357 0.485282i \(-0.161283\pi\)
−0.804650 + 0.593750i \(0.797647\pi\)
\(744\) 7.71508 10.8343i 0.282848 0.397205i
\(745\) −2.35038 12.1949i −0.0861112 0.446787i
\(746\) 32.2104 + 62.4795i 1.17931 + 2.28754i
\(747\) −3.30779 + 1.32424i −0.121026 + 0.0484514i
\(748\) −4.17916 0.600873i −0.152805 0.0219701i
\(749\) 15.0993 + 28.7353i 0.551718 + 1.04996i
\(750\) −14.0949 + 12.2133i −0.514671 + 0.445965i
\(751\) −43.0937 30.6869i −1.57251 1.11978i −0.937878 0.346966i \(-0.887212\pi\)
−0.634633 0.772813i \(-0.718849\pi\)
\(752\) −14.7384 + 0.702077i −0.537455 + 0.0256021i
\(753\) −0.0433238 0.0454366i −0.00157881 0.00165580i
\(754\) −1.10961 + 5.75722i −0.0404097 + 0.209666i
\(755\) 7.06395 2.07416i 0.257083 0.0754865i
\(756\) 7.08065 + 3.16701i 0.257521 + 0.115183i
\(757\) 12.6413 1.81754i 0.459454 0.0660596i 0.0912983 0.995824i \(-0.470898\pi\)
0.368156 + 0.929764i \(0.379989\pi\)
\(758\) 69.3823 40.0579i 2.52008 1.45497i
\(759\) 14.8316 3.47978i 0.538352 0.126308i
\(760\) −0.894892 + 1.55000i −0.0324612 + 0.0562244i
\(761\) −21.7247 27.6252i −0.787520 1.00141i −0.999708 0.0241842i \(-0.992301\pi\)
0.212187 0.977229i \(-0.431941\pi\)
\(762\) −26.0278 11.8865i −0.942888 0.430602i
\(763\) −0.747851 2.47525i −0.0270740 0.0896100i
\(764\) −3.04481 2.63834i −0.110157 0.0954519i
\(765\) −0.0980024 0.403972i −0.00354329 0.0146056i
\(766\) 2.70304 + 56.7439i 0.0976650 + 2.05024i
\(767\) 0.831293 + 0.0793788i 0.0300162 + 0.00286620i
\(768\) −6.57154 2.27443i −0.237130 0.0820715i
\(769\) 35.6418 + 22.9056i 1.28528 + 0.825997i 0.991529 0.129885i \(-0.0414610\pi\)
0.293748 + 0.955883i \(0.405097\pi\)
\(770\) −10.4732 + 13.5340i −0.377428 + 0.487732i
\(771\) −4.18782 + 29.1270i −0.150821 + 1.04898i
\(772\) 0.539537 11.3263i 0.0194184 0.407642i