Properties

Label 483.2.bf.a.61.29
Level $483$
Weight $2$
Character 483.61
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 61.29
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.29

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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 0.999999 0.00145276i \(-0.000462427\pi\)
0.234347 + 0.972153i \(0.424705\pi\)
\(3\) 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 0.0160883 0.999871i \(-0.494879\pi\)
0.386550 + 0.922268i \(0.373667\pi\)
\(6\) 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 0.986086 0.166237i \(-0.0531617\pi\)
−0.394030 + 0.919098i \(0.628919\pi\)
\(12\) −1.08962 + 2.72173i −0.314545 + 0.785696i
\(13\) −1.26333 1.96579i −0.350386 0.545211i 0.620668 0.784074i \(-0.286862\pi\)
−0.971053 + 0.238863i \(0.923225\pi\)
\(14\) −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 0.728825 0.684700i \(-0.240067\pi\)
−0.649245 + 0.760579i \(0.724915\pi\)
\(18\) −0.726337 + 2.09861i −0.171199 + 0.494648i
\(19\) −0.682757 + 0.651007i −0.156635 + 0.149351i −0.764344 0.644808i \(-0.776937\pi\)
0.607709 + 0.794160i \(0.292089\pi\)
\(20\) 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 −0.179523 0.983754i \(-0.557455\pi\)
0.380833 + 0.924644i \(0.375637\pi\)
\(30\) 0.933041 + 1.80985i 0.170349 + 0.330431i
\(31\) −0.611021 6.39890i −0.109743 1.14928i −0.867740 0.497018i \(-0.834428\pi\)
0.757997 0.652258i \(-0.226178\pi\)
\(32\) 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 0.500823 0.865550i \(-0.333031\pi\)
0.928721 + 0.370780i \(0.120910\pi\)
\(38\) −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 −0.177537 0.984114i \(-0.556813\pi\)
0.948831 + 0.315784i \(0.102267\pi\)
\(42\) −4.02126 4.28388i −0.620493 0.661018i
\(43\) −5.82035 + 2.65806i −0.887594 + 0.405351i −0.806416 0.591349i \(-0.798596\pi\)
−0.0811785 + 0.996700i \(0.525868\pi\)
\(44\) −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 −0.470092 0.882618i \(-0.655779\pi\)
−0.999415 + 0.0341974i \(0.989113\pi\)
\(48\) 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 −0.409216 0.912437i \(-0.634198\pi\)
−0.494096 + 0.869407i \(0.664501\pi\)
\(54\) −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 −0.899254 0.437426i \(-0.855890\pi\)
0.877935 + 0.478779i \(0.158921\pi\)
\(60\) −0.508726 + 2.63952i −0.0656763 + 0.340761i
\(61\) −1.64394 2.30859i −0.210485 0.295584i 0.695814 0.718222i \(-0.255044\pi\)
−0.906299 + 0.422638i \(0.861104\pi\)
\(62\) 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 0.910317 + 0.413912i \(0.135838\pi\)
−0.373196 + 0.927753i \(0.621738\pi\)
\(68\) −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 0.836065 + 0.548630i \(0.184850\pi\)
−0.956766 + 0.290860i \(0.906059\pi\)
\(72\) −2.05979 0.196686i −0.242748 0.0231797i
\(73\) 6.33197 1.53612i 0.741101 0.179789i 0.152602 0.988288i \(-0.451235\pi\)
0.588498 + 0.808499i \(0.299719\pi\)
\(74\) 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 −0.171032 0.985266i \(-0.554710\pi\)
−0.0766020 + 0.997062i \(0.524407\pi\)
\(80\) 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 −0.869215 0.494434i \(-0.835375\pi\)
0.613104 + 0.790002i \(0.289921\pi\)
\(84\) −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 −0.872649 0.488348i \(-0.837600\pi\)
−0.949299 + 0.314373i \(0.898206\pi\)
\(90\) −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 0.818110 0.575062i \(-0.195022\pi\)
−0.685638 + 0.727943i \(0.740477\pi\)
\(98\) 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 −0.635853 0.771810i \(-0.719352\pi\)
0.877158 0.480201i \(-0.159436\pi\)
\(102\) −0.461348 + 0.894890i −0.0456802 + 0.0886073i
\(103\) 11.4637 + 4.58938i 1.12955 + 0.452205i 0.859752 0.510711i \(-0.170618\pi\)
0.269801 + 0.962916i \(0.413042\pi\)
\(104\) 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 −0.950125 0.311870i \(-0.899045\pi\)
−0.0160380 + 0.999871i \(0.505105\pi\)
\(108\) −2.92842 0.139498i −0.281787 0.0134232i
\(109\) 0.674431 0.707323i 0.0645988 0.0677492i −0.690641 0.723197i \(-0.742672\pi\)
0.755240 + 0.655448i \(0.227520\pi\)
\(110\) 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 0.679128 0.734020i \(-0.262358\pi\)
0.444821 + 0.895620i \(0.353267\pi\)
\(114\) −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 0.893493 + 0.449076i \(0.148247\pi\)
−0.730781 + 0.682612i \(0.760844\pi\)
\(128\) 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 0.829947 0.557843i \(-0.188371\pi\)
−0.935822 + 0.352474i \(0.885341\pi\)
\(132\) −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 −0.856661 0.515879i \(-0.827465\pi\)
0.0184341 + 0.999830i \(0.494132\pi\)
\(138\) 10.6500 0.0803836i 0.906592 0.00684270i
\(139\) 4.02467i 0.341368i 0.985326 + 0.170684i \(0.0545977\pi\)
−0.985326 + 0.170684i \(0.945402\pi\)
\(140\) −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 0.566165 + 0.824292i \(0.308427\pi\)
−0.978579 + 0.205870i \(0.933998\pi\)
\(150\) −5.70979 7.26059i −0.466203 0.592825i
\(151\) 7.13685 + 3.67930i 0.580789 + 0.299418i 0.723475 0.690350i \(-0.242544\pi\)
−0.142686 + 0.989768i \(0.545574\pi\)
\(152\) −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 0.999988 + 0.00482796i \(0.00153679\pi\)
−0.886613 + 0.462512i \(0.846948\pi\)
\(158\) −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 −0.0468978 0.998900i \(-0.514934\pi\)
−0.981799 + 0.189924i \(0.939176\pi\)
\(164\) 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 0.981374 0.192105i \(-0.0615314\pi\)
−0.929444 + 0.368962i \(0.879713\pi\)
\(168\) 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 0.688248 + 0.725476i \(0.258380\pi\)
−0.998744 + 0.0501059i \(0.984044\pi\)
\(174\) 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 −0.960966 0.276667i \(-0.910770\pi\)
0.926394 + 0.376555i \(0.122891\pi\)
\(180\) −1.94547 + 1.85500i −0.145007 + 0.138264i
\(181\) −5.70271 12.4872i −0.423879 0.928165i −0.994281 0.106799i \(-0.965940\pi\)
0.570402 0.821366i \(-0.306788\pi\)
\(182\) 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 0.910518 0.413469i \(-0.135683\pi\)
−0.864954 + 0.501851i \(0.832653\pi\)
\(192\) 1.22706 + 12.8503i 0.0885551 + 0.927391i
\(193\) 3.79782 + 0.731970i 0.273373 + 0.0526883i 0.324095 0.946024i \(-0.394940\pi\)
−0.0507222 + 0.998713i \(0.516152\pi\)
\(194\) 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 −0.642401 0.766369i \(-0.722061\pi\)
0.430251 + 0.902709i \(0.358425\pi\)
\(198\) −6.66640 + 2.30726i −0.473760 + 0.163970i
\(199\) −4.92186 + 0.469981i −0.348902 + 0.0333161i −0.268036 0.963409i \(-0.586375\pi\)
−0.0808658 + 0.996725i \(0.525769\pi\)
\(200\) 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 −0.0816109 0.996664i \(-0.526006\pi\)
−0.607493 + 0.794325i \(0.707825\pi\)
\(212\) −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 −0.991274 0.131821i \(-0.957918\pi\)
0.531698 + 0.846934i \(0.321554\pi\)
\(224\) −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 0.0829898 + 0.996550i \(0.473553\pi\)
−0.968884 + 0.247514i \(0.920386\pi\)
\(228\) −1.02792 2.56763i −0.0680759 0.170045i
\(229\) 5.46176 9.46005i 0.360923 0.625137i −0.627190 0.778866i \(-0.715795\pi\)
0.988113 + 0.153729i \(0.0491283\pi\)
\(230\) 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 −0.766653 0.642062i \(-0.778079\pi\)
−0.874309 + 0.485369i \(0.838685\pi\)
\(234\) 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 −0.0431876 0.999067i \(-0.513751\pi\)
0.995044 0.0994340i \(-0.0317032\pi\)
\(240\) 1.16167 0.0553370i 0.0749852 0.00357199i
\(241\) −16.5687 + 13.0298i −1.06728 + 0.839322i −0.987520 0.157492i \(-0.949659\pi\)
−0.0797639 + 0.996814i \(0.525417\pi\)
\(242\) 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 −0.990101 0.140353i \(-0.955176\pi\)
0.989538 + 0.144276i \(0.0460852\pi\)
\(252\) 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 −0.920721 0.390220i \(-0.872399\pi\)
−0.345969 0.938246i \(-0.612450\pi\)
\(258\) −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 −0.456050 0.889954i \(-0.650736\pi\)
0.989470 0.144736i \(-0.0462334\pi\)
\(264\) −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 0.396915 0.917856i \(-0.370081\pi\)
0.307870 + 0.951429i \(0.400384\pi\)
\(270\) −1.40514 + 1.47367i −0.0855140 + 0.0896845i
\(271\) 4.99405 + 25.9116i 0.303367 + 1.57402i 0.738881 + 0.673836i \(0.235354\pi\)
−0.435514 + 0.900182i \(0.643433\pi\)
\(272\) 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 0.978755 0.205035i \(-0.0657310\pi\)
−0.666943 + 0.745109i \(0.732398\pi\)
\(278\) −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 −0.0690407 0.997614i \(-0.521994\pi\)
0.977634 + 0.210313i \(0.0674484\pi\)
\(282\) 6.09057 25.1057i 0.362688 1.49502i
\(283\) −0.375361 + 7.87979i −0.0223129 + 0.468405i 0.959866 + 0.280458i \(0.0904863\pi\)
−0.982179 + 0.187947i \(0.939817\pi\)
\(284\) −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 −0.558572 0.829456i \(-0.688651\pi\)
−0.0214634 + 0.999770i \(0.506833\pi\)
\(294\) 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 0.908734 0.417375i \(-0.137050\pi\)
0.279663 + 0.960098i \(0.409777\pi\)
\(308\) 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 0.985110 0.171926i \(-0.0549990\pi\)
−0.399328 + 0.916808i \(0.630757\pi\)
\(312\) 4.29758 + 2.21556i 0.243303 + 0.125431i
\(313\) −0.290901 0.840503i −0.0164427 0.0475080i 0.936481 0.350719i \(-0.114063\pi\)
−0.952924 + 0.303211i \(0.901941\pi\)
\(314\) −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 0.0794667 0.996838i \(-0.474678\pi\)
0.444261 + 0.895897i \(0.353466\pi\)
\(318\) −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 0.976655 + 0.214816i \(0.0689152\pi\)
−0.634912 + 0.772585i \(0.718964\pi\)
\(332\) −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 0.0875527 0.996160i \(-0.472095\pi\)
−0.695513 + 0.718514i \(0.744823\pi\)
\(338\) 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 −0.593047 0.805168i \(-0.702075\pi\)
0.126421 + 0.991977i \(0.459651\pi\)
\(348\) −0.314868 + 3.29745i −0.0168787 + 0.176762i
\(349\) −9.34616 + 31.8301i −0.500288 + 1.70383i 0.191298 + 0.981532i \(0.438730\pi\)
−0.691587 + 0.722294i \(0.743088\pi\)
\(350\) 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 −0.996127 0.0879315i \(-0.971974\pi\)
0.961484 0.274861i \(-0.0886317\pi\)
\(354\) −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 −0.312695 0.949853i \(-0.601232\pi\)
0.341365 + 0.939931i \(0.389111\pi\)
\(360\) −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 0.879059 0.476712i \(-0.158172\pi\)
−0.852375 + 0.522932i \(0.824838\pi\)
\(368\) −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 −0.717854 0.696193i \(-0.754876\pi\)
0.407684 0.913123i \(-0.366336\pi\)
\(374\) −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 0.863583 0.504206i \(-0.168215\pi\)
0.970653 + 0.240483i \(0.0773058\pi\)
\(380\) −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 −0.995635 0.0933369i \(-0.970247\pi\)
0.237437 0.971403i \(-0.423693\pi\)
\(384\) −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 0.948215 + 0.317630i \(0.102887\pi\)
−0.467065 + 0.884223i \(0.654689\pi\)
\(390\) 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 −0.255366 0.966844i \(-0.582196\pi\)
−0.670012 + 0.742350i \(0.733711\pi\)
\(398\) −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 −0.275759 0.961227i \(-0.588929\pi\)
−0.183140 + 0.983087i \(0.558626\pi\)
\(402\) −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 0.999708 + 0.0241491i \(0.00768765\pi\)
0.800752 + 0.598996i \(0.204434\pi\)
\(410\) 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 0.691641 0.722241i \(-0.256888\pi\)
−0.813321 + 0.581815i \(0.802343\pi\)
\(420\) −1.95033 6.83940i −0.0951662 0.333729i
\(421\) 15.3649 23.9082i 0.748837 1.16521i −0.232440 0.972611i \(-0.574671\pi\)
0.981277 0.192602i \(-0.0616928\pi\)
\(422\) −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 −0.000917910 1.00000i \(-0.500292\pi\)
0.998911 0.0466650i \(-0.0148593\pi\)
\(432\) 0.240045 + 1.24547i 0.0115491 + 0.0599227i
\(433\) 32.3121 + 9.48769i 1.55282 + 0.455949i 0.941942 0.335775i \(-0.108998\pi\)
0.610878 + 0.791724i \(0.290816\pi\)
\(434\) −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 0.119800 0.992798i \(-0.461775\pi\)
0.936569 0.350484i \(-0.113983\pi\)
\(440\) −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 −0.469274 0.883052i \(-0.655484\pi\)
0.821746 0.569854i \(-0.193000\pi\)
\(444\) −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 0.983630 0.180200i \(-0.0576744\pi\)
−0.994554 + 0.104220i \(0.966765\pi\)
\(450\) −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 −0.856635 0.515923i \(-0.827449\pi\)
0.938794 0.344480i \(-0.111945\pi\)
\(458\) 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 \(-0.967969\pi\)
0.994941 0.100458i \(-0.0320308\pi\)
\(462\) 2.80042 18.4529i 0.130287 0.858504i
\(463\) −12.9061 28.2605i −0.599799 1.31338i −0.929336 0.369235i \(-0.879620\pi\)
0.329537 0.944143i \(-0.393107\pi\)
\(464\) 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 0.409095 0.912492i \(-0.365844\pi\)
0.980592 + 0.196058i \(0.0628141\pi\)
\(468\) 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 0.965081 0.261951i \(-0.0843657\pi\)
−0.977831 + 0.209395i \(0.932851\pi\)
\(480\) 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 0.993893 + 0.110346i \(0.0351959\pi\)
−0.832844 + 0.553508i \(0.813289\pi\)
\(488\) 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 0.366901 + 0.930260i \(0.380419\pi\)
−0.943312 + 0.331906i \(0.892308\pi\)
\(492\) 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 −0.466360 0.884595i \(-0.654435\pi\)
0.450055 + 0.893001i \(0.351404\pi\)
\(500\) −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 0.999818 0.0190621i \(-0.00606801\pi\)
−0.669148 + 0.743129i \(0.733341\pi\)
\(504\) 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 −0.783546 0.621333i \(-0.786591\pi\)
0.886975 0.461818i \(-0.152803\pi\)
\(510\) −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 −0.252637 0.967561i \(-0.581298\pi\)
−0.0649597 + 0.997888i \(0.520692\pi\)
\(522\) −0.119389 + 2.50629i −0.00522553 + 0.109697i
\(523\) −3.11984 + 12.8601i −0.136421 + 0.562335i 0.862038 + 0.506843i \(0.169188\pi\)
−0.998459 + 0.0554914i \(0.982327\pi\)
\(524\) 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 0.670605 0.741815i \(-0.266035\pi\)
−0.0265714 + 0.999647i \(0.508459\pi\)
\(542\) −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 0.829995 0.557771i \(-0.188343\pi\)
−0.670214 + 0.742168i \(0.733798\pi\)
\(548\) −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 0.498906 0.866656i \(-0.333735\pi\)
−0.143565 + 0.989641i \(0.545857\pi\)
\(558\) 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 −0.712574 0.701597i \(-0.752471\pi\)
0.513824 + 0.857896i \(0.328228\pi\)
\(564\) 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 0.999945 0.0104692i \(-0.00333252\pi\)
0.883989 + 0.467507i \(0.154848\pi\)
\(570\) −1.81526 0.628269i −0.0760330 0.0263153i
\(571\) 33.7122 8.17848i 1.41081 0.342259i 0.543242 0.839576i \(-0.317197\pi\)
0.867569 + 0.497318i \(0.165682\pi\)
\(572\) 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 0.999918 0.0128094i \(-0.00407746\pi\)
−0.732514 + 0.680752i \(0.761653\pi\)
\(578\) 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 −0.728884 0.684637i \(-0.759961\pi\)
−0.506475 + 0.862255i \(0.669052\pi\)
\(588\) 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 −0.702115 0.712063i \(-0.747761\pi\)
0.387174 0.922007i \(-0.373451\pi\)
\(594\) −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 0.930729 + 0.365710i \(0.119174\pi\)
−0.148650 + 0.988890i \(0.547493\pi\)
\(600\) 5.32003 6.76497i 0.217189 0.276179i
\(601\) 31.5873 14.4254i 1.28847 0.588425i 0.350963 0.936389i \(-0.385854\pi\)
0.937508 + 0.347964i \(0.113127\pi\)
\(602\) 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 −0.975192 0.221359i \(-0.928951\pi\)
−0.629718 + 0.776824i \(0.716830\pi\)
\(608\) −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 0.999041 0.0437923i \(-0.0139440\pi\)
−0.989274 + 0.146069i \(0.953338\pi\)
\(614\) 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 −0.999356 0.0358854i \(-0.988575\pi\)
0.860113 + 0.510104i \(0.170393\pi\)
\(618\) −2.60666 + 27.2982i −0.104855 + 1.09809i
\(619\) 32.1109 12.8553i 1.29065 0.516697i 0.378136 0.925750i \(-0.376565\pi\)
0.912511 + 0.409053i \(0.134141\pi\)
\(620\) 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 −0.971429 0.237332i \(-0.923727\pi\)
0.187661 0.982234i \(-0.439909\pi\)
\(632\) 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 0.585974 0.810330i \(-0.300712\pi\)
−0.574110 + 0.818779i \(0.694652\pi\)
\(642\) −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 0.980125 0.198383i \(-0.0635688\pi\)
0.133096 + 0.991103i \(0.457508\pi\)
\(648\) −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 0.790092 0.612989i \(-0.210033\pi\)
−0.999978 + 0.00656033i \(0.997912\pi\)
\(654\) 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 0.148578 0.988901i \(-0.452530\pi\)
−0.650063 + 0.759880i \(0.725258\pi\)
\(660\) −7.58972 + 3.91277i −0.295430 + 0.152304i
\(661\) −30.8673 29.4319i −1.20060 1.14477i −0.985767 0.168116i \(-0.946232\pi\)
−0.214830 0.976651i \(-0.568920\pi\)
\(662\) −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 −0.899937 + 0.436019i \(0.856388\pi\)
−0.992805 + 0.119740i \(0.961794\pi\)
\(674\) −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 0.732146 + 0.681148i \(0.238519\pi\)
−0.664083 + 0.747659i \(0.731178\pi\)
\(678\) 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 −0.978331 0.207046i \(-0.933615\pi\)
0.993582 0.113112i \(-0.0360819\pi\)
\(684\) 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 0.970901 0.239480i \(-0.0769769\pi\)
0.278055 + 0.960565i \(0.410310\pi\)
\(692\) −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 0.403597 0.914937i \(-0.367760\pi\)
0.645016 + 0.764169i \(0.276851\pi\)
\(702\) 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 0.476567 0.879138i \(-0.341881\pi\)
−0.900818 + 0.434196i \(0.857032\pi\)
\(710\) −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 0.308411 0.951253i \(-0.400203\pi\)
−0.161763 + 0.986830i \(0.551718\pi\)
\(720\) 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 −0.972775 0.231750i \(-0.925555\pi\)
0.367832 + 0.929892i \(0.380100\pi\)
\(728\) −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 0.808336 0.588721i \(-0.200368\pi\)
0.682313 + 0.731061i \(0.260974\pi\)
\(734\) −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 −0.901247 0.433306i \(-0.857347\pi\)
0.704243 + 0.709959i \(0.251286\pi\)
\(740\) 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 −0.804650 0.593750i \(-0.797647\pi\)
0.874357 + 0.485282i \(0.161283\pi\)
\(744\) 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 −0.634633 + 0.772813i \(0.718849\pi\)
−0.937878 + 0.346966i \(0.887212\pi\)
\(752\) −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 0.368156 0.929764i \(-0.379989\pi\)
0.0912983 + 0.995824i \(0.470898\pi\)
\(758\) 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 0.212187 + 0.977229i \(0.431941\pi\)
−0.999708 + 0.0241842i \(0.992301\pi\)
\(762\) −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 0.293748 0.955883i \(-0.405097\pi\)
0.991529 + 0.129885i \(0.0414610\pi\)
\(770\) −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
\(773\) −8.72603 1.68180i</