Properties

Label 273.2.cg.b.19.9
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.9
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.b.115.9

$q$-expansion

\(f(q)\) \(=\) \(q+(2.18205 + 0.584679i) q^{2} +1.00000i q^{3} +(2.68745 + 1.55160i) q^{4} +(2.27456 - 0.609466i) q^{5} +(-0.584679 + 2.18205i) q^{6} +(-2.33957 + 1.23548i) q^{7} +(1.76223 + 1.76223i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(2.18205 + 0.584679i) q^{2} +1.00000i q^{3} +(2.68745 + 1.55160i) q^{4} +(2.27456 - 0.609466i) q^{5} +(-0.584679 + 2.18205i) q^{6} +(-2.33957 + 1.23548i) q^{7} +(1.76223 + 1.76223i) q^{8} -1.00000 q^{9} +5.31955 q^{10} +(-3.57017 - 3.57017i) q^{11} +(-1.55160 + 2.68745i) q^{12} +(1.62322 - 3.21950i) q^{13} +(-5.82743 + 1.32798i) q^{14} +(0.609466 + 2.27456i) q^{15} +(-0.288264 - 0.499288i) q^{16} +(-2.64387 + 4.57931i) q^{17} +(-2.18205 - 0.584679i) q^{18} +(2.98754 + 2.98754i) q^{19} +(7.05842 + 1.89130i) q^{20} +(-1.23548 - 2.33957i) q^{21} +(-5.70290 - 9.87771i) q^{22} +(3.44956 - 1.99161i) q^{23} +(-1.76223 + 1.76223i) q^{24} +(0.472034 - 0.272529i) q^{25} +(5.42433 - 6.07604i) q^{26} -1.00000i q^{27} +(-8.20446 - 0.309797i) q^{28} +(0.565030 - 0.978660i) q^{29} +5.31955i q^{30} +(-1.40198 + 5.23228i) q^{31} +(-1.62713 - 6.07252i) q^{32} +(3.57017 - 3.57017i) q^{33} +(-8.44649 + 8.44649i) q^{34} +(-4.56851 + 4.23605i) q^{35} +(-2.68745 - 1.55160i) q^{36} +(1.37587 - 5.13480i) q^{37} +(4.77222 + 8.26572i) q^{38} +(3.21950 + 1.62322i) q^{39} +(5.08231 + 2.93428i) q^{40} +(5.61474 - 1.50446i) q^{41} +(-1.32798 - 5.82743i) q^{42} +(-9.65143 + 5.57225i) q^{43} +(-4.05519 - 15.1342i) q^{44} +(-2.27456 + 0.609466i) q^{45} +(8.69158 - 2.32890i) q^{46} +(1.95174 + 7.28399i) q^{47} +(0.499288 - 0.288264i) q^{48} +(3.94719 - 5.78098i) q^{49} +(1.18935 - 0.318684i) q^{50} +(-4.57931 - 2.64387i) q^{51} +(9.35771 - 6.13365i) q^{52} +(-0.538076 - 0.931975i) q^{53} +(0.584679 - 2.18205i) q^{54} +(-10.2965 - 5.94466i) q^{55} +(-6.30006 - 1.94567i) q^{56} +(-2.98754 + 2.98754i) q^{57} +(1.80513 - 1.80513i) q^{58} +(-2.18873 - 8.16845i) q^{59} +(-1.89130 + 7.05842i) q^{60} -3.15666i q^{61} +(-6.11841 + 10.5974i) q^{62} +(2.33957 - 1.23548i) q^{63} -13.0488i q^{64} +(1.72994 - 8.31222i) q^{65} +(9.87771 - 5.70290i) q^{66} +(-3.75730 + 3.75730i) q^{67} +(-14.2105 + 8.20446i) q^{68} +(1.99161 + 3.44956i) q^{69} +(-12.4455 + 6.57218i) q^{70} +(12.9802 + 3.47804i) q^{71} +(-1.76223 - 1.76223i) q^{72} +(1.56120 + 0.418321i) q^{73} +(6.00443 - 10.4000i) q^{74} +(0.272529 + 0.472034i) q^{75} +(3.39340 + 12.6644i) q^{76} +(12.7635 + 3.94181i) q^{77} +(6.07604 + 5.42433i) q^{78} +(-6.31940 + 10.9455i) q^{79} +(-0.959971 - 0.959971i) q^{80} +1.00000 q^{81} +13.1313 q^{82} +(-7.21679 - 7.21679i) q^{83} +(0.309797 - 8.20446i) q^{84} +(-3.22269 + 12.0273i) q^{85} +(-24.3179 + 6.51596i) q^{86} +(0.978660 + 0.565030i) q^{87} -12.5829i q^{88} +(8.63520 + 2.31379i) q^{89} -5.31955 q^{90} +(0.179969 + 9.53769i) q^{91} +12.3607 q^{92} +(-5.23228 - 1.40198i) q^{93} +17.0352i q^{94} +(8.61613 + 4.97453i) q^{95} +(6.07252 - 1.62713i) q^{96} +(-4.32019 + 16.1232i) q^{97} +(11.9930 - 10.3066i) q^{98} +(3.57017 + 3.57017i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.18205 + 0.584679i 1.54294 + 0.413431i 0.927216 0.374528i \(-0.122195\pi\)
0.615729 + 0.787958i \(0.288862\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 2.68745 + 1.55160i 1.34373 + 0.775801i
\(5\) 2.27456 0.609466i 1.01721 0.272561i 0.288573 0.957458i \(-0.406819\pi\)
0.728640 + 0.684897i \(0.240153\pi\)
\(6\) −0.584679 + 2.18205i −0.238694 + 0.890819i
\(7\) −2.33957 + 1.23548i −0.884275 + 0.466967i
\(8\) 1.76223 + 1.76223i 0.623043 + 0.623043i
\(9\) −1.00000 −0.333333
\(10\) 5.31955 1.68219
\(11\) −3.57017 3.57017i −1.07645 1.07645i −0.996825 0.0796226i \(-0.974628\pi\)
−0.0796226 0.996825i \(-0.525372\pi\)
\(12\) −1.55160 + 2.68745i −0.447909 + 0.775801i
\(13\) 1.62322 3.21950i 0.450201 0.892927i
\(14\) −5.82743 + 1.32798i −1.55745 + 0.354917i
\(15\) 0.609466 + 2.27456i 0.157363 + 0.587288i
\(16\) −0.288264 0.499288i −0.0720660 0.124822i
\(17\) −2.64387 + 4.57931i −0.641232 + 1.11065i 0.343926 + 0.938997i \(0.388243\pi\)
−0.985158 + 0.171650i \(0.945090\pi\)
\(18\) −2.18205 0.584679i −0.514315 0.137810i
\(19\) 2.98754 + 2.98754i 0.685389 + 0.685389i 0.961209 0.275820i \(-0.0889495\pi\)
−0.275820 + 0.961209i \(0.588950\pi\)
\(20\) 7.05842 + 1.89130i 1.57831 + 0.422907i
\(21\) −1.23548 2.33957i −0.269603 0.510536i
\(22\) −5.70290 9.87771i −1.21586 2.10594i
\(23\) 3.44956 1.99161i 0.719283 0.415278i −0.0952055 0.995458i \(-0.530351\pi\)
0.814489 + 0.580179i \(0.197017\pi\)
\(24\) −1.76223 + 1.76223i −0.359714 + 0.359714i
\(25\) 0.472034 0.272529i 0.0944069 0.0545058i
\(26\) 5.42433 6.07604i 1.06380 1.19161i
\(27\) 1.00000i 0.192450i
\(28\) −8.20446 0.309797i −1.55050 0.0585460i
\(29\) 0.565030 0.978660i 0.104923 0.181733i −0.808784 0.588106i \(-0.799874\pi\)
0.913707 + 0.406374i \(0.133207\pi\)
\(30\) 5.31955i 0.971212i
\(31\) −1.40198 + 5.23228i −0.251804 + 0.939745i 0.718037 + 0.696005i \(0.245041\pi\)
−0.969841 + 0.243740i \(0.921626\pi\)
\(32\) −1.62713 6.07252i −0.287638 1.07348i
\(33\) 3.57017 3.57017i 0.621487 0.621487i
\(34\) −8.44649 + 8.44649i −1.44856 + 1.44856i
\(35\) −4.56851 + 4.23605i −0.772219 + 0.716024i
\(36\) −2.68745 1.55160i −0.447909 0.258600i
\(37\) 1.37587 5.13480i 0.226191 0.844156i −0.755733 0.654880i \(-0.772719\pi\)
0.981924 0.189276i \(-0.0606142\pi\)
\(38\) 4.77222 + 8.26572i 0.774156 + 1.34088i
\(39\) 3.21950 + 1.62322i 0.515532 + 0.259924i
\(40\) 5.08231 + 2.93428i 0.803584 + 0.463950i
\(41\) 5.61474 1.50446i 0.876875 0.234958i 0.207817 0.978168i \(-0.433364\pi\)
0.669058 + 0.743210i \(0.266698\pi\)
\(42\) −1.32798 5.82743i −0.204911 0.899192i
\(43\) −9.65143 + 5.57225i −1.47183 + 0.849761i −0.999499 0.0316610i \(-0.989920\pi\)
−0.472330 + 0.881422i \(0.656587\pi\)
\(44\) −4.05519 15.1342i −0.611343 2.28156i
\(45\) −2.27456 + 0.609466i −0.339071 + 0.0908538i
\(46\) 8.69158 2.32890i 1.28150 0.343378i
\(47\) 1.95174 + 7.28399i 0.284691 + 1.06248i 0.949065 + 0.315080i \(0.102031\pi\)
−0.664375 + 0.747400i \(0.731302\pi\)
\(48\) 0.499288 0.288264i 0.0720660 0.0416073i
\(49\) 3.94719 5.78098i 0.563885 0.825854i
\(50\) 1.18935 0.318684i 0.168199 0.0450688i
\(51\) −4.57931 2.64387i −0.641232 0.370215i
\(52\) 9.35771 6.13365i 1.29768 0.850584i
\(53\) −0.538076 0.931975i −0.0739104 0.128017i 0.826702 0.562641i \(-0.190215\pi\)
−0.900612 + 0.434624i \(0.856881\pi\)
\(54\) 0.584679 2.18205i 0.0795648 0.296940i
\(55\) −10.2965 5.94466i −1.38837 0.801578i
\(56\) −6.30006 1.94567i −0.841881 0.260001i
\(57\) −2.98754 + 2.98754i −0.395709 + 0.395709i
\(58\) 1.80513 1.80513i 0.237025 0.237025i
\(59\) −2.18873 8.16845i −0.284948 1.06344i −0.948877 0.315645i \(-0.897779\pi\)
0.663929 0.747796i \(-0.268888\pi\)
\(60\) −1.89130 + 7.05842i −0.244165 + 0.911238i
\(61\) 3.15666i 0.404169i −0.979368 0.202085i \(-0.935228\pi\)
0.979368 0.202085i \(-0.0647716\pi\)
\(62\) −6.11841 + 10.5974i −0.777039 + 1.34587i
\(63\) 2.33957 1.23548i 0.294758 0.155656i
\(64\) 13.0488i 1.63111i
\(65\) 1.72994 8.31222i 0.214573 1.03100i
\(66\) 9.87771 5.70290i 1.21586 0.701979i
\(67\) −3.75730 + 3.75730i −0.459027 + 0.459027i −0.898336 0.439309i \(-0.855223\pi\)
0.439309 + 0.898336i \(0.355223\pi\)
\(68\) −14.2105 + 8.20446i −1.72328 + 0.994937i
\(69\) 1.99161 + 3.44956i 0.239761 + 0.415278i
\(70\) −12.4455 + 6.57218i −1.48752 + 0.785526i
\(71\) 12.9802 + 3.47804i 1.54047 + 0.412767i 0.926417 0.376498i \(-0.122872\pi\)
0.614052 + 0.789266i \(0.289539\pi\)
\(72\) −1.76223 1.76223i −0.207681 0.207681i
\(73\) 1.56120 + 0.418321i 0.182724 + 0.0489608i 0.349021 0.937115i \(-0.386514\pi\)
−0.166297 + 0.986076i \(0.553181\pi\)
\(74\) 6.00443 10.4000i 0.698000 1.20897i
\(75\) 0.272529 + 0.472034i 0.0314690 + 0.0545058i
\(76\) 3.39340 + 12.6644i 0.389250 + 1.45270i
\(77\) 12.7635 + 3.94181i 1.45454 + 0.449211i
\(78\) 6.07604 + 5.42433i 0.687977 + 0.614184i
\(79\) −6.31940 + 10.9455i −0.710988 + 1.23147i 0.253498 + 0.967336i \(0.418419\pi\)
−0.964486 + 0.264132i \(0.914914\pi\)
\(80\) −0.959971 0.959971i −0.107328 0.107328i
\(81\) 1.00000 0.111111
\(82\) 13.1313 1.45011
\(83\) −7.21679 7.21679i −0.792145 0.792145i 0.189697 0.981843i \(-0.439249\pi\)
−0.981843 + 0.189697i \(0.939249\pi\)
\(84\) 0.309797 8.20446i 0.0338016 0.895180i
\(85\) −3.22269 + 12.0273i −0.349550 + 1.30454i
\(86\) −24.3179 + 6.51596i −2.62227 + 0.702634i
\(87\) 0.978660 + 0.565030i 0.104923 + 0.0605776i
\(88\) 12.5829i 1.34135i
\(89\) 8.63520 + 2.31379i 0.915329 + 0.245262i 0.685588 0.727990i \(-0.259545\pi\)
0.229741 + 0.973252i \(0.426212\pi\)
\(90\) −5.31955 −0.560729
\(91\) 0.179969 + 9.53769i 0.0188658 + 0.999822i
\(92\) 12.3607 1.28869
\(93\) −5.23228 1.40198i −0.542562 0.145379i
\(94\) 17.0352i 1.75705i
\(95\) 8.61613 + 4.97453i 0.883997 + 0.510376i
\(96\) 6.07252 1.62713i 0.619774 0.166068i
\(97\) −4.32019 + 16.1232i −0.438649 + 1.63706i 0.293531 + 0.955950i \(0.405170\pi\)
−0.732180 + 0.681111i \(0.761497\pi\)
\(98\) 11.9930 10.3066i 1.21148 1.04112i
\(99\) 3.57017 + 3.57017i 0.358816 + 0.358816i
\(100\) 1.69143 0.169143
\(101\) 0.765232 0.0761434 0.0380717 0.999275i \(-0.487878\pi\)
0.0380717 + 0.999275i \(0.487878\pi\)
\(102\) −8.44649 8.44649i −0.836327 0.836327i
\(103\) 2.76861 4.79537i 0.272799 0.472502i −0.696778 0.717287i \(-0.745384\pi\)
0.969578 + 0.244784i \(0.0787172\pi\)
\(104\) 8.53399 2.81300i 0.836826 0.275838i
\(105\) −4.23605 4.56851i −0.413396 0.445841i
\(106\) −0.629204 2.34822i −0.0611137 0.228079i
\(107\) 3.87296 + 6.70816i 0.374413 + 0.648502i 0.990239 0.139380i \(-0.0445110\pi\)
−0.615826 + 0.787882i \(0.711178\pi\)
\(108\) 1.55160 2.68745i 0.149303 0.258600i
\(109\) −10.8053 2.89526i −1.03496 0.277316i −0.298935 0.954273i \(-0.596631\pi\)
−0.736022 + 0.676958i \(0.763298\pi\)
\(110\) −18.9917 18.9917i −1.81079 1.81079i
\(111\) 5.13480 + 1.37587i 0.487374 + 0.130591i
\(112\) 1.29127 + 0.811976i 0.122014 + 0.0767245i
\(113\) 4.62961 + 8.01871i 0.435517 + 0.754337i 0.997338 0.0729218i \(-0.0232324\pi\)
−0.561821 + 0.827259i \(0.689899\pi\)
\(114\) −8.26572 + 4.77222i −0.774156 + 0.446959i
\(115\) 6.63241 6.63241i 0.618475 0.618475i
\(116\) 3.03698 1.75340i 0.281977 0.162799i
\(117\) −1.62322 + 3.21950i −0.150067 + 0.297642i
\(118\) 19.1037i 1.75864i
\(119\) 0.527881 13.9801i 0.0483907 1.28155i
\(120\) −2.93428 + 5.08231i −0.267861 + 0.463950i
\(121\) 14.4923i 1.31748i
\(122\) 1.84564 6.88801i 0.167096 0.623611i
\(123\) 1.50446 + 5.61474i 0.135653 + 0.506264i
\(124\) −11.8862 + 11.8862i −1.06741 + 1.06741i
\(125\) −7.41788 + 7.41788i −0.663476 + 0.663476i
\(126\) 5.82743 1.32798i 0.519149 0.118306i
\(127\) −0.963214 0.556112i −0.0854714 0.0493470i 0.456655 0.889644i \(-0.349047\pi\)
−0.542127 + 0.840297i \(0.682381\pi\)
\(128\) 4.37514 16.3282i 0.386711 1.44323i
\(129\) −5.57225 9.65143i −0.490610 0.849761i
\(130\) 8.63481 17.1263i 0.757323 1.50207i
\(131\) −1.01316 0.584948i −0.0885201 0.0511071i 0.455087 0.890447i \(-0.349608\pi\)
−0.543607 + 0.839340i \(0.682942\pi\)
\(132\) 15.1342 4.05519i 1.31726 0.352959i
\(133\) −10.6806 3.29853i −0.926126 0.286019i
\(134\) −10.3954 + 6.00180i −0.898028 + 0.518477i
\(135\) −0.609466 2.27456i −0.0524545 0.195763i
\(136\) −12.7289 + 3.41070i −1.09150 + 0.292465i
\(137\) 11.8263 3.16885i 1.01039 0.270733i 0.284597 0.958647i \(-0.408140\pi\)
0.725792 + 0.687914i \(0.241473\pi\)
\(138\) 2.32890 + 8.69158i 0.198249 + 0.739876i
\(139\) −17.4448 + 10.0718i −1.47965 + 0.854276i −0.999735 0.0230384i \(-0.992666\pi\)
−0.479915 + 0.877315i \(0.659333\pi\)
\(140\) −18.8503 + 4.29569i −1.59314 + 0.363052i
\(141\) −7.28399 + 1.95174i −0.613423 + 0.164366i
\(142\) 26.2900 + 15.1785i 2.20621 + 1.27375i
\(143\) −17.2893 + 5.69897i −1.44581 + 0.476572i
\(144\) 0.288264 + 0.499288i 0.0240220 + 0.0416073i
\(145\) 0.688733 2.57039i 0.0571961 0.213459i
\(146\) 3.16203 + 1.82560i 0.261691 + 0.151088i
\(147\) 5.78098 + 3.94719i 0.476807 + 0.325559i
\(148\) 11.6648 11.6648i 0.958837 0.958837i
\(149\) 11.1605 11.1605i 0.914302 0.914302i −0.0823053 0.996607i \(-0.526228\pi\)
0.996607 + 0.0823053i \(0.0262283\pi\)
\(150\) 0.318684 + 1.18935i 0.0260205 + 0.0971097i
\(151\) 4.18906 15.6338i 0.340901 1.27226i −0.556428 0.830896i \(-0.687828\pi\)
0.897329 0.441363i \(-0.145505\pi\)
\(152\) 10.5295i 0.854053i
\(153\) 2.64387 4.57931i 0.213744 0.370215i
\(154\) 25.5460 + 16.0638i 2.05856 + 1.29446i
\(155\) 12.7556i 1.02455i
\(156\) 6.13365 + 9.35771i 0.491085 + 0.749217i
\(157\) 7.65145 4.41757i 0.610652 0.352560i −0.162568 0.986697i \(-0.551978\pi\)
0.773221 + 0.634137i \(0.218645\pi\)
\(158\) −20.1889 + 20.1889i −1.60614 + 1.60614i
\(159\) 0.931975 0.538076i 0.0739104 0.0426722i
\(160\) −7.40198 12.8206i −0.585178 1.01356i
\(161\) −5.60991 + 8.92136i −0.442123 + 0.703102i
\(162\) 2.18205 + 0.584679i 0.171438 + 0.0459367i
\(163\) −5.61466 5.61466i −0.439774 0.439774i 0.452162 0.891936i \(-0.350653\pi\)
−0.891936 + 0.452162i \(0.850653\pi\)
\(164\) 17.4237 + 4.66866i 1.36056 + 0.364561i
\(165\) 5.94466 10.2965i 0.462791 0.801578i
\(166\) −11.5279 19.9669i −0.894739 1.54973i
\(167\) 2.54898 + 9.51291i 0.197246 + 0.736131i 0.991674 + 0.128773i \(0.0411040\pi\)
−0.794428 + 0.607358i \(0.792229\pi\)
\(168\) 1.94567 6.30006i 0.150112 0.486060i
\(169\) −7.73030 10.4519i −0.594638 0.803993i
\(170\) −14.0642 + 24.3599i −1.07867 + 1.86832i
\(171\) −2.98754 2.98754i −0.228463 0.228463i
\(172\) −34.5837 −2.63698
\(173\) 3.39025 0.257756 0.128878 0.991660i \(-0.458862\pi\)
0.128878 + 0.991660i \(0.458862\pi\)
\(174\) 1.80513 + 1.80513i 0.136846 + 0.136846i
\(175\) −0.767655 + 1.22079i −0.0580292 + 0.0922830i
\(176\) −0.753391 + 2.81170i −0.0567890 + 0.211939i
\(177\) 8.16845 2.18873i 0.613978 0.164515i
\(178\) 17.4896 + 10.0976i 1.31090 + 0.756850i
\(179\) 6.78191i 0.506904i −0.967348 0.253452i \(-0.918434\pi\)
0.967348 0.253452i \(-0.0815659\pi\)
\(180\) −7.05842 1.89130i −0.526103 0.140969i
\(181\) 10.9124 0.811109 0.405554 0.914071i \(-0.367078\pi\)
0.405554 + 0.914071i \(0.367078\pi\)
\(182\) −5.18379 + 20.9170i −0.384248 + 1.55047i
\(183\) 3.15666 0.233347
\(184\) 9.58859 + 2.56926i 0.706880 + 0.189408i
\(185\) 12.5179i 0.920338i
\(186\) −10.5974 6.11841i −0.777039 0.448624i
\(187\) 25.7880 6.90987i 1.88581 0.505300i
\(188\) −6.05665 + 22.6037i −0.441727 + 1.64855i
\(189\) 1.23548 + 2.33957i 0.0898677 + 0.170179i
\(190\) 15.8924 + 15.8924i 1.15295 + 1.15295i
\(191\) −1.04515 −0.0756246 −0.0378123 0.999285i \(-0.512039\pi\)
−0.0378123 + 0.999285i \(0.512039\pi\)
\(192\) 13.0488 0.941720
\(193\) 6.96641 + 6.96641i 0.501453 + 0.501453i 0.911889 0.410436i \(-0.134624\pi\)
−0.410436 + 0.911889i \(0.634624\pi\)
\(194\) −18.8538 + 32.6557i −1.35362 + 2.34454i
\(195\) 8.31222 + 1.72994i 0.595251 + 0.123884i
\(196\) 19.5777 9.41164i 1.39841 0.672260i
\(197\) −1.53092 5.71348i −0.109074 0.407069i 0.889702 0.456542i \(-0.150912\pi\)
−0.998775 + 0.0494737i \(0.984246\pi\)
\(198\) 5.70290 + 9.87771i 0.405287 + 0.701979i
\(199\) 2.65808 4.60393i 0.188426 0.326364i −0.756299 0.654226i \(-0.772995\pi\)
0.944726 + 0.327862i \(0.106328\pi\)
\(200\) 1.31209 + 0.351574i 0.0927790 + 0.0248601i
\(201\) −3.75730 3.75730i −0.265019 0.265019i
\(202\) 1.66978 + 0.447415i 0.117485 + 0.0314800i
\(203\) −0.112815 + 2.98773i −0.00791807 + 0.209697i
\(204\) −8.20446 14.2105i −0.574427 0.994937i
\(205\) 11.8541 6.84398i 0.827928 0.478004i
\(206\) 8.84501 8.84501i 0.616261 0.616261i
\(207\) −3.44956 + 1.99161i −0.239761 + 0.138426i
\(208\) −2.07537 + 0.117609i −0.143901 + 0.00815474i
\(209\) 21.3321i 1.47557i
\(210\) −6.57218 12.4455i −0.453523 0.858818i
\(211\) 8.76315 15.1782i 0.603280 1.04491i −0.389041 0.921221i \(-0.627193\pi\)
0.992321 0.123691i \(-0.0394732\pi\)
\(212\) 3.33952i 0.229359i
\(213\) −3.47804 + 12.9802i −0.238311 + 0.889390i
\(214\) 4.52888 + 16.9020i 0.309588 + 1.15540i
\(215\) −18.5566 + 18.5566i −1.26555 + 1.26555i
\(216\) 1.76223 1.76223i 0.119905 0.119905i
\(217\) −3.18432 13.9734i −0.216166 0.948577i
\(218\) −21.8849 12.6352i −1.48223 0.855766i
\(219\) −0.418321 + 1.56120i −0.0282675 + 0.105496i
\(220\) −18.4475 31.9520i −1.24373 2.15421i
\(221\) 10.4515 + 15.9452i 0.703043 + 1.07259i
\(222\) 10.4000 + 6.00443i 0.698000 + 0.402991i
\(223\) −12.8318 + 3.43827i −0.859282 + 0.230244i −0.661447 0.749992i \(-0.730057\pi\)
−0.197834 + 0.980235i \(0.563391\pi\)
\(224\) 11.3092 + 12.1968i 0.755630 + 0.814934i
\(225\) −0.472034 + 0.272529i −0.0314690 + 0.0181686i
\(226\) 5.41367 + 20.2041i 0.360112 + 1.34396i
\(227\) 19.2938 5.16977i 1.28058 0.343130i 0.446503 0.894782i \(-0.352669\pi\)
0.834074 + 0.551652i \(0.186003\pi\)
\(228\) −12.6644 + 3.39340i −0.838717 + 0.224734i
\(229\) −0.350071 1.30648i −0.0231333 0.0863347i 0.953394 0.301728i \(-0.0975634\pi\)
−0.976527 + 0.215393i \(0.930897\pi\)
\(230\) 18.3501 10.5944i 1.20997 0.698576i
\(231\) −3.94181 + 12.7635i −0.259352 + 0.839780i
\(232\) 2.72034 0.728913i 0.178599 0.0478555i
\(233\) −18.9116 10.9186i −1.23894 0.715301i −0.270061 0.962843i \(-0.587044\pi\)
−0.968877 + 0.247542i \(0.920377\pi\)
\(234\) −5.42433 + 6.07604i −0.354599 + 0.397203i
\(235\) 8.87869 + 15.3783i 0.579182 + 1.00317i
\(236\) 6.79207 25.3484i 0.442126 1.65004i
\(237\) −10.9455 6.31940i −0.710988 0.410489i
\(238\) 9.32572 30.1966i 0.604497 1.95736i
\(239\) 2.43660 2.43660i 0.157611 0.157611i −0.623896 0.781507i \(-0.714451\pi\)
0.781507 + 0.623896i \(0.214451\pi\)
\(240\) 0.959971 0.959971i 0.0619659 0.0619659i
\(241\) 1.24212 + 4.63565i 0.0800120 + 0.298609i 0.994323 0.106404i \(-0.0339337\pi\)
−0.914311 + 0.405013i \(0.867267\pi\)
\(242\) −8.47333 + 31.6229i −0.544686 + 2.03280i
\(243\) 1.00000i 0.0641500i
\(244\) 4.89789 8.48339i 0.313555 0.543094i
\(245\) 5.45481 15.5548i 0.348495 0.993762i
\(246\) 13.1313i 0.837220i
\(247\) 14.4678 4.76893i 0.920565 0.303440i
\(248\) −11.6911 + 6.74986i −0.742386 + 0.428617i
\(249\) 7.21679 7.21679i 0.457345 0.457345i
\(250\) −20.5233 + 11.8491i −1.29801 + 0.749405i
\(251\) −8.94953 15.5010i −0.564890 0.978417i −0.997060 0.0766255i \(-0.975585\pi\)
0.432170 0.901792i \(-0.357748\pi\)
\(252\) 8.20446 + 0.309797i 0.516833 + 0.0195153i
\(253\) −19.4259 5.20516i −1.22130 0.327245i
\(254\) −1.77664 1.77664i −0.111476 0.111476i
\(255\) −12.0273 3.22269i −0.753176 0.201813i
\(256\) 6.04472 10.4698i 0.377795 0.654361i
\(257\) −3.20380 5.54914i −0.199847 0.346146i 0.748631 0.662986i \(-0.230711\pi\)
−0.948479 + 0.316841i \(0.897378\pi\)
\(258\) −6.51596 24.3179i −0.405666 1.51397i
\(259\) 3.12499 + 13.7131i 0.194178 + 0.852090i
\(260\) 17.5464 19.6545i 1.08818 1.21892i
\(261\) −0.565030 + 0.978660i −0.0349745 + 0.0605776i
\(262\) −1.86876 1.86876i −0.115452 0.115452i
\(263\) 2.42997 0.149838 0.0749191 0.997190i \(-0.476130\pi\)
0.0749191 + 0.997190i \(0.476130\pi\)
\(264\) 12.5829 0.774426
\(265\) −1.79189 1.79189i −0.110075 0.110075i
\(266\) −21.3771 13.4423i −1.31071 0.824200i
\(267\) −2.31379 + 8.63520i −0.141602 + 0.528465i
\(268\) −15.9274 + 4.26773i −0.972920 + 0.260693i
\(269\) −13.7556 7.94178i −0.838691 0.484219i 0.0181279 0.999836i \(-0.494229\pi\)
−0.856819 + 0.515617i \(0.827563\pi\)
\(270\) 5.31955i 0.323737i
\(271\) −8.61532 2.30847i −0.523344 0.140230i −0.0125308 0.999921i \(-0.503989\pi\)
−0.510813 + 0.859692i \(0.670655\pi\)
\(272\) 3.04853 0.184844
\(273\) −9.53769 + 0.179969i −0.577248 + 0.0108922i
\(274\) 27.6584 1.67090
\(275\) −2.65822 0.712268i −0.160297 0.0429514i
\(276\) 12.3607i 0.744028i
\(277\) −19.5494 11.2868i −1.17461 0.678160i −0.219846 0.975535i \(-0.570555\pi\)
−0.954761 + 0.297375i \(0.903889\pi\)
\(278\) −43.9543 + 11.7775i −2.63620 + 0.706368i
\(279\) 1.40198 5.23228i 0.0839346 0.313248i
\(280\) −15.5157 0.585864i −0.927239 0.0350121i
\(281\) −2.03059 2.03059i −0.121135 0.121135i 0.643941 0.765075i \(-0.277298\pi\)
−0.765075 + 0.643941i \(0.777298\pi\)
\(282\) −17.0352 −1.01443
\(283\) −7.12281 −0.423407 −0.211704 0.977334i \(-0.567901\pi\)
−0.211704 + 0.977334i \(0.567901\pi\)
\(284\) 29.4872 + 29.4872i 1.74974 + 1.74974i
\(285\) −4.97453 + 8.61613i −0.294666 + 0.510376i
\(286\) −41.0583 + 2.32674i −2.42783 + 0.137583i
\(287\) −11.2774 + 10.4567i −0.665681 + 0.617239i
\(288\) 1.62713 + 6.07252i 0.0958793 + 0.357827i
\(289\) −5.48007 9.49176i −0.322357 0.558339i
\(290\) 3.00570 5.20603i 0.176501 0.305709i
\(291\) −16.1232 4.32019i −0.945158 0.253254i
\(292\) 3.54657 + 3.54657i 0.207548 + 0.207548i
\(293\) 8.65417 + 2.31888i 0.505582 + 0.135470i 0.502589 0.864525i \(-0.332381\pi\)
0.00299266 + 0.999996i \(0.499047\pi\)
\(294\) 10.3066 + 11.9930i 0.601090 + 0.699446i
\(295\) −9.95678 17.2456i −0.579706 1.00408i
\(296\) 11.4733 6.62411i 0.666872 0.385019i
\(297\) −3.57017 + 3.57017i −0.207162 + 0.207162i
\(298\) 30.8781 17.8275i 1.78872 1.03272i
\(299\) −0.812559 14.3387i −0.0469915 0.829226i
\(300\) 1.69143i 0.0976546i
\(301\) 15.6958 24.9608i 0.904692 1.43872i
\(302\) 18.2815 31.6645i 1.05198 1.82209i
\(303\) 0.765232i 0.0439614i
\(304\) 0.630442 2.35284i 0.0361583 0.134945i
\(305\) −1.92388 7.18001i −0.110161 0.411126i
\(306\) 8.44649 8.44649i 0.482854 0.482854i
\(307\) 16.8943 16.8943i 0.964206 0.964206i −0.0351747 0.999381i \(-0.511199\pi\)
0.999381 + 0.0351747i \(0.0111988\pi\)
\(308\) 28.1853 + 30.3974i 1.60601 + 1.73205i
\(309\) 4.79537 + 2.76861i 0.272799 + 0.157501i
\(310\) −7.45792 + 27.8333i −0.423582 + 1.58083i
\(311\) −8.73808 15.1348i −0.495491 0.858215i 0.504496 0.863414i \(-0.331678\pi\)
−0.999986 + 0.00519889i \(0.998345\pi\)
\(312\) 2.81300 + 8.53399i 0.159255 + 0.483142i
\(313\) −5.69274 3.28670i −0.321773 0.185775i 0.330410 0.943838i \(-0.392813\pi\)
−0.652182 + 0.758062i \(0.726146\pi\)
\(314\) 19.2787 5.16572i 1.08796 0.291518i
\(315\) 4.56851 4.23605i 0.257406 0.238675i
\(316\) −33.9662 + 19.6104i −1.91075 + 1.10317i
\(317\) 8.34364 + 31.1389i 0.468626 + 1.74894i 0.644580 + 0.764537i \(0.277032\pi\)
−0.175954 + 0.984398i \(0.556301\pi\)
\(318\) 2.34822 0.629204i 0.131682 0.0352840i
\(319\) −5.51124 + 1.47673i −0.308570 + 0.0826812i
\(320\) −7.95283 29.6804i −0.444577 1.65918i
\(321\) −6.70816 + 3.87296i −0.374413 + 0.216167i
\(322\) −17.4573 + 16.1869i −0.972855 + 0.902059i
\(323\) −21.5795 + 5.78222i −1.20072 + 0.321731i
\(324\) 2.68745 + 1.55160i 0.149303 + 0.0862001i
\(325\) −0.111190 1.96209i −0.00616770 0.108837i
\(326\) −8.96870 15.5343i −0.496731 0.860363i
\(327\) 2.89526 10.8053i 0.160108 0.597533i
\(328\) 12.5457 + 7.24325i 0.692719 + 0.399942i
\(329\) −13.5654 14.6301i −0.747887 0.806583i
\(330\) 18.9917 18.9917i 1.04546 1.04546i
\(331\) 19.1496 19.1496i 1.05256 1.05256i 0.0540185 0.998540i \(-0.482797\pi\)
0.998540 0.0540185i \(-0.0172030\pi\)
\(332\) −8.19720 30.5924i −0.449880 1.67897i
\(333\) −1.37587 + 5.13480i −0.0753970 + 0.281385i
\(334\) 22.2480i 1.21736i
\(335\) −6.25624 + 10.8361i −0.341815 + 0.592041i
\(336\) −0.811976 + 1.29127i −0.0442969 + 0.0704447i
\(337\) 9.62356i 0.524229i −0.965037 0.262114i \(-0.915580\pi\)
0.965037 0.262114i \(-0.0844197\pi\)
\(338\) −10.7569 27.3264i −0.585099 1.48636i
\(339\) −8.01871 + 4.62961i −0.435517 + 0.251446i
\(340\) −27.3224 + 27.3224i −1.48176 + 1.48176i
\(341\) 23.6855 13.6748i 1.28264 0.740533i
\(342\) −4.77222 8.26572i −0.258052 0.446959i
\(343\) −2.09247 + 18.4017i −0.112983 + 0.993597i
\(344\) −26.8276 7.18844i −1.44645 0.387575i
\(345\) 6.63241 + 6.63241i 0.357077 + 0.357077i
\(346\) 7.39771 + 1.98221i 0.397703 + 0.106564i
\(347\) 1.14751 1.98755i 0.0616016 0.106697i −0.833580 0.552399i \(-0.813713\pi\)
0.895181 + 0.445702i \(0.147046\pi\)
\(348\) 1.75340 + 3.03698i 0.0939923 + 0.162799i
\(349\) 5.06133 + 18.8891i 0.270927 + 1.01111i 0.958522 + 0.285019i \(0.0919998\pi\)
−0.687595 + 0.726094i \(0.741334\pi\)
\(350\) −2.38883 + 2.21499i −0.127689 + 0.118396i
\(351\) −3.21950 1.62322i −0.171844 0.0866412i
\(352\) −15.8708 + 27.4891i −0.845918 + 1.46517i
\(353\) 11.7665 + 11.7665i 0.626267 + 0.626267i 0.947127 0.320860i \(-0.103972\pi\)
−0.320860 + 0.947127i \(0.603972\pi\)
\(354\) 19.1037 1.01535
\(355\) 31.6440 1.67949
\(356\) 19.6166 + 19.6166i 1.03968 + 1.03968i
\(357\) 13.9801 + 0.527881i 0.739904 + 0.0279384i
\(358\) 3.96524 14.7985i 0.209570 0.782124i
\(359\) 22.5333 6.03777i 1.18926 0.318661i 0.390667 0.920532i \(-0.372244\pi\)
0.798594 + 0.601870i \(0.205578\pi\)
\(360\) −5.08231 2.93428i −0.267861 0.154650i
\(361\) 1.14920i 0.0604845i
\(362\) 23.8113 + 6.38023i 1.25150 + 0.335337i
\(363\) −14.4923 −0.760647
\(364\) −14.3151 + 25.9114i −0.750313 + 1.35812i
\(365\) 3.80598 0.199214
\(366\) 6.88801 + 1.84564i 0.360042 + 0.0964730i
\(367\) 23.9471i 1.25003i 0.780613 + 0.625014i \(0.214907\pi\)
−0.780613 + 0.625014i \(0.785093\pi\)
\(368\) −1.98877 1.14822i −0.103672 0.0598549i
\(369\) −5.61474 + 1.50446i −0.292292 + 0.0783193i
\(370\) 7.31898 27.3148i 0.380496 1.42003i
\(371\) 2.41030 + 1.51564i 0.125137 + 0.0786882i
\(372\) −11.8862 11.8862i −0.616270 0.616270i
\(373\) −19.5555 −1.01254 −0.506272 0.862374i \(-0.668977\pi\)
−0.506272 + 0.862374i \(0.668977\pi\)
\(374\) 60.3108 3.11860
\(375\) −7.41788 7.41788i −0.383058 0.383058i
\(376\) −9.39666 + 16.2755i −0.484596 + 0.839345i
\(377\) −2.23362 3.40769i −0.115037 0.175505i
\(378\) 1.32798 + 5.82743i 0.0683038 + 0.299731i
\(379\) 9.94478 + 37.1144i 0.510829 + 1.90644i 0.411572 + 0.911377i \(0.364980\pi\)
0.0992573 + 0.995062i \(0.468353\pi\)
\(380\) 15.4370 + 26.7376i 0.791900 + 1.37161i
\(381\) 0.556112 0.963214i 0.0284905 0.0493470i
\(382\) −2.28058 0.611079i −0.116684 0.0312655i
\(383\) 4.26748 + 4.26748i 0.218058 + 0.218058i 0.807680 0.589622i \(-0.200723\pi\)
−0.589622 + 0.807680i \(0.700723\pi\)
\(384\) 16.3282 + 4.37514i 0.833247 + 0.223268i
\(385\) 31.4338 + 1.18693i 1.60202 + 0.0604913i
\(386\) 11.1280 + 19.2742i 0.566398 + 0.981031i
\(387\) 9.65143 5.57225i 0.490610 0.283254i
\(388\) −36.6271 + 36.6271i −1.85946 + 1.85946i
\(389\) −19.6532 + 11.3468i −0.996456 + 0.575304i −0.907198 0.420705i \(-0.861783\pi\)
−0.0892580 + 0.996009i \(0.528450\pi\)
\(390\) 17.1263 + 8.63481i 0.867222 + 0.437240i
\(391\) 21.0622i 1.06516i
\(392\) 17.1433 3.23155i 0.865866 0.163218i
\(393\) 0.584948 1.01316i 0.0295067 0.0511071i
\(394\) 13.3622i 0.673179i
\(395\) −7.70292 + 28.7477i −0.387576 + 1.44645i
\(396\) 4.05519 + 15.1342i 0.203781 + 0.760521i
\(397\) −21.6586 + 21.6586i −1.08702 + 1.08702i −0.0911808 + 0.995834i \(0.529064\pi\)
−0.995834 + 0.0911808i \(0.970936\pi\)
\(398\) 8.49190 8.49190i 0.425660 0.425660i
\(399\) 3.29853 10.6806i 0.165133 0.534699i
\(400\) −0.272141 0.157121i −0.0136070 0.00785603i
\(401\) 3.78423 14.1230i 0.188976 0.705267i −0.804769 0.593588i \(-0.797711\pi\)
0.993744 0.111678i \(-0.0356226\pi\)
\(402\) −6.00180 10.3954i −0.299343 0.518477i
\(403\) 14.5696 + 13.0068i 0.725762 + 0.647916i
\(404\) 2.05653 + 1.18734i 0.102316 + 0.0590721i
\(405\) 2.27456 0.609466i 0.113024 0.0302846i
\(406\) −1.99303 + 6.45342i −0.0989125 + 0.320278i
\(407\) −23.2442 + 13.4201i −1.15217 + 0.665207i
\(408\) −3.41070 12.7289i −0.168855 0.630175i
\(409\) 0.688306 0.184431i 0.0340346 0.00911953i −0.241762 0.970336i \(-0.577725\pi\)
0.275796 + 0.961216i \(0.411059\pi\)
\(410\) 29.8679 8.00307i 1.47507 0.395243i
\(411\) 3.16885 + 11.8263i 0.156308 + 0.583348i
\(412\) 14.8810 8.59157i 0.733136 0.423276i
\(413\) 15.2126 + 16.4065i 0.748564 + 0.807313i
\(414\) −8.69158 + 2.32890i −0.427168 + 0.114459i
\(415\) −20.8134 12.0166i −1.02169 0.589872i
\(416\) −22.1916 4.61852i −1.08803 0.226442i
\(417\) −10.0718 17.4448i −0.493217 0.854276i
\(418\) 12.4724 46.5477i 0.610046 2.27672i
\(419\) −30.2738 17.4786i −1.47897 0.853886i −0.479257 0.877675i \(-0.659094\pi\)
−0.999717 + 0.0237891i \(0.992427\pi\)
\(420\) −4.29569 18.8503i −0.209608 0.919802i
\(421\) 9.56456 9.56456i 0.466148 0.466148i −0.434516 0.900664i \(-0.643081\pi\)
0.900664 + 0.434516i \(0.143081\pi\)
\(422\) 27.9960 27.9960i 1.36283 1.36283i
\(423\) −1.95174 7.28399i −0.0948969 0.354160i
\(424\) 0.694141 2.59057i 0.0337105 0.125809i
\(425\) 2.88212i 0.139804i
\(426\) −15.1785 + 26.2900i −0.735403 + 1.27375i
\(427\) 3.89999 + 7.38524i 0.188734 + 0.357397i
\(428\) 24.0372i 1.16188i
\(429\) −5.69897 17.2893i −0.275149 0.834737i
\(430\) −51.3412 + 29.6419i −2.47589 + 1.42946i
\(431\) −6.95507 + 6.95507i −0.335014 + 0.335014i −0.854487 0.519473i \(-0.826128\pi\)
0.519473 + 0.854487i \(0.326128\pi\)
\(432\) −0.499288 + 0.288264i −0.0240220 + 0.0138691i
\(433\) 6.68014 + 11.5703i 0.321027 + 0.556035i 0.980700 0.195517i \(-0.0626386\pi\)
−0.659673 + 0.751553i \(0.729305\pi\)
\(434\) 1.22162 32.3525i 0.0586394 1.55297i
\(435\) 2.57039 + 0.688733i 0.123241 + 0.0330222i
\(436\) −24.5464 24.5464i −1.17556 1.17556i
\(437\) 16.2557 + 4.35570i 0.777616 + 0.208362i
\(438\) −1.82560 + 3.16203i −0.0872304 + 0.151088i
\(439\) 0.272532 + 0.472039i 0.0130072 + 0.0225292i 0.872456 0.488693i \(-0.162526\pi\)
−0.859449 + 0.511222i \(0.829193\pi\)
\(440\) −7.66887 28.6206i −0.365599 1.36443i
\(441\) −3.94719 + 5.78098i −0.187962 + 0.275285i
\(442\) 13.4829 + 40.9040i 0.641316 + 1.94560i
\(443\) 20.9929 36.3608i 0.997402 1.72755i 0.436319 0.899792i \(-0.356282\pi\)
0.561083 0.827760i \(-0.310385\pi\)
\(444\) 11.6648 + 11.6648i 0.553585 + 0.553585i
\(445\) 21.0514 0.997933
\(446\) −30.0100 −1.42101
\(447\) 11.1605 + 11.1605i 0.527872 + 0.527872i
\(448\) 16.1216 + 30.5287i 0.761672 + 1.44235i
\(449\) 9.43152 35.1989i 0.445101 1.66114i −0.270570 0.962700i \(-0.587212\pi\)
0.715670 0.698438i \(-0.246121\pi\)
\(450\) −1.18935 + 0.318684i −0.0560663 + 0.0150229i
\(451\) −25.4168 14.6744i −1.19683 0.690990i
\(452\) 28.7332i 1.35150i
\(453\) 15.6338 + 4.18906i 0.734539 + 0.196819i
\(454\) 45.1228 2.11772
\(455\) 6.22225 + 21.5843i 0.291703 + 1.01189i
\(456\) −10.5295 −0.493088
\(457\) 0.735237 + 0.197006i 0.0343930 + 0.00921556i 0.275975 0.961165i \(-0.410999\pi\)
−0.241582 + 0.970381i \(0.577666\pi\)
\(458\) 3.05549i 0.142774i
\(459\) 4.57931 + 2.64387i 0.213744 + 0.123405i
\(460\) 28.1152 7.53344i 1.31088 0.351248i
\(461\) −8.56724 + 31.9734i −0.399016 + 1.48915i 0.415814 + 0.909450i \(0.363497\pi\)
−0.814830 + 0.579700i \(0.803170\pi\)
\(462\) −16.0638 + 25.5460i −0.747356 + 1.18851i
\(463\) −5.33423 5.33423i −0.247902 0.247902i 0.572207 0.820109i \(-0.306087\pi\)
−0.820109 + 0.572207i \(0.806087\pi\)
\(464\) −0.651511 −0.0302456
\(465\) −12.7556 −0.591526
\(466\) −34.8822 34.8822i −1.61588 1.61588i
\(467\) 5.83331 10.1036i 0.269933 0.467538i −0.698911 0.715209i \(-0.746332\pi\)
0.968844 + 0.247670i \(0.0796650\pi\)
\(468\) −9.35771 + 6.13365i −0.432560 + 0.283528i
\(469\) 4.14841 13.4325i 0.191556 0.620256i
\(470\) 10.3824 + 38.7475i 0.478903 + 1.78729i
\(471\) 4.41757 + 7.65145i 0.203551 + 0.352560i
\(472\) 10.5376 18.2517i 0.485034 0.840104i
\(473\) 54.3512 + 14.5634i 2.49907 + 0.669624i
\(474\) −20.1889 20.1889i −0.927307 0.927307i
\(475\) 2.22441 + 0.596030i 0.102063 + 0.0273477i
\(476\) 23.1102 36.7517i 1.05925 1.68451i
\(477\) 0.538076 + 0.931975i 0.0246368 + 0.0426722i
\(478\) 6.74143 3.89217i 0.308346 0.178024i
\(479\) −6.06425 + 6.06425i −0.277083 + 0.277083i −0.831943 0.554861i \(-0.812772\pi\)
0.554861 + 0.831943i \(0.312772\pi\)
\(480\) 12.8206 7.40198i 0.585178 0.337853i
\(481\) −14.2981 12.7645i −0.651939 0.582012i
\(482\) 10.8415i 0.493816i
\(483\) −8.92136 5.60991i −0.405936 0.255260i
\(484\) −22.4862 + 38.9473i −1.02210 + 1.77033i
\(485\) 39.3061i 1.78480i
\(486\) −0.584679 + 2.18205i −0.0265216 + 0.0989799i
\(487\) 10.9821 + 40.9858i 0.497647 + 1.85724i 0.514672 + 0.857387i \(0.327914\pi\)
−0.0170255 + 0.999855i \(0.505420\pi\)
\(488\) 5.56277 5.56277i 0.251815 0.251815i
\(489\) 5.61466 5.61466i 0.253904 0.253904i
\(490\) 20.9973 30.7522i 0.948560 1.38924i
\(491\) 20.0110 + 11.5533i 0.903082 + 0.521394i 0.878199 0.478296i \(-0.158745\pi\)
0.0248830 + 0.999690i \(0.492079\pi\)
\(492\) −4.66866 + 17.4237i −0.210480 + 0.785520i
\(493\) 2.98773 + 5.17490i 0.134560 + 0.233066i
\(494\) 34.3578 1.94703i 1.54583 0.0876009i
\(495\) 10.2965 + 5.94466i 0.462791 + 0.267193i
\(496\) 3.01655 0.808283i 0.135447 0.0362930i
\(497\) −34.6652 + 7.89965i −1.55495 + 0.354348i
\(498\) 19.9669 11.5279i 0.894739 0.516578i
\(499\) −8.91242 33.2616i −0.398975 1.48899i −0.814904 0.579596i \(-0.803210\pi\)
0.415929 0.909397i \(-0.363456\pi\)
\(500\) −31.4448 + 8.42562i −1.40626 + 0.376805i
\(501\) −9.51291 + 2.54898i −0.425006 + 0.113880i
\(502\) −10.4652 39.0567i −0.467085 1.74319i
\(503\) −1.49019 + 0.860359i −0.0664441 + 0.0383615i −0.532854 0.846207i \(-0.678881\pi\)
0.466410 + 0.884569i \(0.345547\pi\)
\(504\) 6.30006 + 1.94567i 0.280627 + 0.0866670i
\(505\) 1.74056 0.466382i 0.0774540 0.0207537i
\(506\) −39.3450 22.7159i −1.74910 1.00984i
\(507\) 10.4519 7.73030i 0.464186 0.343315i
\(508\) −1.72573 2.98905i −0.0765669 0.132618i
\(509\) 4.08516 15.2460i 0.181071 0.675768i −0.814366 0.580352i \(-0.802915\pi\)
0.995437 0.0954162i \(-0.0304182\pi\)
\(510\) −24.3599 14.0642i −1.07867 0.622772i
\(511\) −4.16935 + 0.950129i −0.184441 + 0.0420312i
\(512\) −4.59484 + 4.59484i −0.203065 + 0.203065i
\(513\) 2.98754 2.98754i 0.131903 0.131903i
\(514\) −3.74639 13.9817i −0.165246 0.616707i
\(515\) 3.37475 12.5947i 0.148709 0.554990i
\(516\) 34.5837i 1.52246i
\(517\) 19.0371 32.9732i 0.837249 1.45016i
\(518\) −1.19886 + 31.7498i −0.0526748 + 1.39501i
\(519\) 3.39025i 0.148816i
\(520\) 17.6966 11.5995i 0.776048 0.508672i
\(521\) −23.8356 + 13.7615i −1.04426 + 0.602902i −0.921036 0.389477i \(-0.872656\pi\)
−0.123221 + 0.992379i \(0.539323\pi\)
\(522\) −1.80513 + 1.80513i −0.0790083 + 0.0790083i
\(523\) 24.8550 14.3500i 1.08683 0.627484i 0.154102 0.988055i \(-0.450752\pi\)
0.932732 + 0.360571i \(0.117418\pi\)
\(524\) −1.81521 3.14404i −0.0792979 0.137348i
\(525\) −1.22079 0.767655i −0.0532796 0.0335032i
\(526\) 5.30232 + 1.42075i 0.231192 + 0.0619477i
\(527\) −20.2536 20.2536i −0.882260 0.882260i
\(528\) −2.81170 0.753391i −0.122363 0.0327872i
\(529\) −3.56702 + 6.17825i −0.155088 + 0.268620i
\(530\) −2.86232 4.95768i −0.124331 0.215348i
\(531\) 2.18873 + 8.16845i 0.0949827 + 0.354480i
\(532\) −23.5856 25.4367i −1.02257 1.10282i
\(533\) 4.27035 20.5187i 0.184969 0.888764i
\(534\) −10.0976 + 17.4896i −0.436968 + 0.756850i
\(535\) 12.8977 + 12.8977i 0.557614 + 0.557614i
\(536\) −13.2424 −0.571986
\(537\) 6.78191 0.292661
\(538\) −25.3720 25.3720i −1.09386 1.09386i
\(539\) −34.7312 + 6.54693i −1.49598 + 0.281996i
\(540\) 1.89130 7.05842i 0.0813885 0.303746i
\(541\) −12.5009 + 3.34960i −0.537454 + 0.144010i −0.517328 0.855787i \(-0.673073\pi\)
−0.0201258 + 0.999797i \(0.506407\pi\)
\(542\) −17.4494 10.0744i −0.749515 0.432733i
\(543\) 10.9124i 0.468294i
\(544\) 32.1099 + 8.60381i 1.37670 + 0.368885i
\(545\) −26.3418 −1.12836
\(546\) −20.9170 5.18379i −0.895164 0.221846i
\(547\) 9.86784 0.421918 0.210959 0.977495i \(-0.432341\pi\)
0.210959 + 0.977495i \(0.432341\pi\)
\(548\) 36.6994 + 9.83359i 1.56772 + 0.420070i
\(549\) 3.15666i 0.134723i
\(550\) −5.38393 3.10841i −0.229572 0.132543i
\(551\) 4.61184 1.23574i 0.196471 0.0526442i
\(552\) −2.56926 + 9.58859i −0.109355 + 0.408118i
\(553\) 1.26175 33.4153i 0.0536549 1.42096i
\(554\) −36.0586 36.0586i −1.53198 1.53198i
\(555\) 12.5179 0.531357
\(556\) −62.5095 −2.65099
\(557\) −23.4101 23.4101i −0.991919 0.991919i 0.00804826 0.999968i \(-0.497438\pi\)
−0.999968 + 0.00804826i \(0.997438\pi\)
\(558\) 6.11841 10.5974i 0.259013 0.448624i
\(559\) 2.27343 + 40.1177i 0.0961560 + 1.69680i
\(560\) 3.43194 + 1.05990i 0.145026 + 0.0447889i
\(561\) 6.90987 + 25.7880i 0.291735 + 1.08877i
\(562\) −3.24361 5.61810i −0.136823 0.236985i
\(563\) −19.0236 + 32.9499i −0.801750 + 1.38867i 0.116714 + 0.993166i \(0.462764\pi\)
−0.918464 + 0.395505i \(0.870569\pi\)
\(564\) −22.6037 6.05665i −0.951789 0.255031i
\(565\) 15.4174 + 15.4174i 0.648616 + 0.648616i
\(566\) −15.5424 4.16456i −0.653294 0.175050i
\(567\) −2.33957 + 1.23548i −0.0982528 + 0.0518852i
\(568\) 16.7450 + 29.0033i 0.702606 + 1.21695i
\(569\) −15.4440 + 8.91660i −0.647446 + 0.373803i −0.787477 0.616344i \(-0.788613\pi\)
0.140031 + 0.990147i \(0.455280\pi\)
\(570\) −15.8924 + 15.8924i −0.665658 + 0.665658i
\(571\) −35.0123 + 20.2143i −1.46522 + 0.845944i −0.999245 0.0388557i \(-0.987629\pi\)
−0.465972 + 0.884799i \(0.654295\pi\)
\(572\) −55.3069 11.5105i −2.31250 0.481276i
\(573\) 1.04515i 0.0436619i
\(574\) −30.7216 + 16.2234i −1.28229 + 0.677152i
\(575\) 1.08554 1.88021i 0.0452702 0.0784103i
\(576\) 13.0488i 0.543702i
\(577\) −0.274766 + 1.02544i −0.0114387 + 0.0426897i −0.971409 0.237411i \(-0.923701\pi\)
0.959971 + 0.280101i \(0.0903679\pi\)
\(578\) −6.40816 23.9156i −0.266545 0.994758i
\(579\) −6.96641 + 6.96641i −0.289514 + 0.289514i
\(580\) 5.83915 5.83915i 0.242458 0.242458i
\(581\) 25.8004 + 7.96801i 1.07038 + 0.330569i
\(582\) −32.6557 18.8538i −1.35362 0.781514i
\(583\) −1.40629 + 5.24834i −0.0582425 + 0.217364i
\(584\) 2.01401 + 3.48837i 0.0833403 + 0.144350i
\(585\) −1.72994 + 8.31222i −0.0715242 + 0.343668i
\(586\) 17.5281 + 10.1198i 0.724078 + 0.418046i
\(587\) 24.5244 6.57129i 1.01223 0.271226i 0.285669 0.958328i \(-0.407784\pi\)
0.726561 + 0.687102i \(0.241118\pi\)
\(588\) 9.41164 + 19.5777i 0.388129 + 0.807370i
\(589\) −19.8201 + 11.4432i −0.816674 + 0.471507i
\(590\) −11.6430 43.4524i −0.479336 1.78891i
\(591\) 5.71348 1.53092i 0.235021 0.0629737i
\(592\) −2.96036 + 0.793225i −0.121670 + 0.0326013i
\(593\) 3.58927 + 13.3953i 0.147394 + 0.550081i 0.999637 + 0.0269353i \(0.00857481\pi\)
−0.852244 + 0.523145i \(0.824759\pi\)
\(594\) −9.87771 + 5.70290i −0.405287 + 0.233993i
\(595\) −7.31968 32.1202i −0.300078 1.31680i
\(596\) 47.3099 12.6766i 1.93789 0.519256i
\(597\) 4.60393 + 2.65808i 0.188426 + 0.108788i
\(598\) 6.61047 31.7628i 0.270322 1.29888i
\(599\) −15.3267 26.5466i −0.626232 1.08467i −0.988301 0.152515i \(-0.951263\pi\)
0.362069 0.932151i \(-0.382070\pi\)
\(600\) −0.351574 + 1.31209i −0.0143530 + 0.0535660i
\(601\) 8.40143 + 4.85057i 0.342701 + 0.197859i 0.661466 0.749975i \(-0.269935\pi\)
−0.318765 + 0.947834i \(0.603268\pi\)
\(602\) 48.8432 45.2888i 1.99070 1.84583i
\(603\) 3.75730 3.75730i 0.153009 0.153009i
\(604\) 35.5153 35.5153i 1.44510 1.44510i
\(605\) 8.83254 + 32.9635i 0.359094 + 1.34016i
\(606\) −0.447415 + 1.66978i −0.0181750 + 0.0678300i
\(607\) 14.6956i 0.596475i 0.954492 + 0.298238i \(0.0963988\pi\)
−0.954492 + 0.298238i \(0.903601\pi\)
\(608\) 13.2808 23.0030i 0.538607 0.932895i
\(609\) −2.98773 0.112815i −0.121069 0.00457150i
\(610\) 16.7920i 0.679889i
\(611\) 26.6189 + 5.53992i 1.07689 + 0.224121i
\(612\) 14.2105 8.20446i 0.574427 0.331646i
\(613\) −25.7393 + 25.7393i −1.03960 + 1.03960i −0.0404173 + 0.999183i \(0.512869\pi\)
−0.999183 + 0.0404173i \(0.987131\pi\)
\(614\) 46.7419 26.9864i 1.88635 1.08908i
\(615\) 6.84398 + 11.8541i 0.275976 + 0.478004i
\(616\) 15.5459 + 29.4387i 0.626364 + 1.18612i
\(617\) 11.0647 + 2.96476i 0.445446 + 0.119357i 0.474568 0.880219i \(-0.342604\pi\)
−0.0291217 + 0.999576i \(0.509271\pi\)
\(618\) 8.84501 + 8.84501i 0.355798 + 0.355798i
\(619\) 42.1253 + 11.2874i 1.69316 + 0.453681i 0.971202 0.238257i \(-0.0765761\pi\)
0.721957 + 0.691938i \(0.243243\pi\)
\(620\) −19.7916 + 34.2800i −0.794849 + 1.37672i
\(621\) −1.99161 3.44956i −0.0799204 0.138426i
\(622\) −10.2179 38.1339i −0.409702 1.52903i
\(623\) −23.0613 + 5.25530i −0.923932 + 0.210549i
\(624\) −0.117609 2.07537i −0.00470814 0.0830813i
\(625\) −13.7141 + 23.7535i −0.548564 + 0.950141i
\(626\) −10.5002 10.5002i −0.419672 0.419672i
\(627\) 21.3321 0.851921
\(628\) 27.4172 1.09407
\(629\) 19.8763 + 19.8763i 0.792518 + 0.792518i
\(630\) 12.4455 6.57218i 0.495839 0.261842i
\(631\) −0.0773405 + 0.288639i −0.00307888 + 0.0114905i −0.967448 0.253069i \(-0.918560\pi\)
0.964369 + 0.264560i \(0.0852266\pi\)
\(632\) −30.4248 + 8.15230i −1.21023 + 0.324281i
\(633\) 15.1782 + 8.76315i 0.603280 + 0.348304i
\(634\) 72.8251i 2.89225i
\(635\) −2.52982 0.677862i −0.100393 0.0269001i
\(636\) 3.33952 0.132421
\(637\) −12.2047 22.0918i −0.483566 0.875308i
\(638\) −12.8892 −0.510290
\(639\) −12.9802 3.47804i −0.513490 0.137589i
\(640\) 39.8060i 1.57347i
\(641\) 4.23982 + 2.44786i 0.167463 + 0.0966847i 0.581389 0.813626i \(-0.302509\pi\)
−0.413926 + 0.910310i \(0.635843\pi\)
\(642\) −16.9020 + 4.52888i −0.667068 + 0.178740i
\(643\) 11.4094 42.5806i 0.449944 1.67921i −0.252598 0.967571i \(-0.581285\pi\)
0.702542 0.711643i \(-0.252048\pi\)
\(644\) −28.9188 + 15.2714i −1.13956 + 0.601777i
\(645\) −18.5566 18.5566i −0.730666 0.730666i
\(646\) −50.4684 −1.98565
\(647\) −2.94231 −0.115674 −0.0578370 0.998326i \(-0.518420\pi\)
−0.0578370 + 0.998326i \(0.518420\pi\)
\(648\) 1.76223 + 1.76223i 0.0692270 + 0.0692270i
\(649\) −21.3486 + 36.9769i −0.838007 + 1.45147i
\(650\) 0.904570 4.34639i 0.0354802 0.170479i
\(651\) 13.9734 3.18432i 0.547661 0.124803i
\(652\) −6.37742 23.8009i −0.249759 0.932113i
\(653\) −3.97706 6.88846i −0.155634 0.269566i 0.777656 0.628691i \(-0.216409\pi\)
−0.933290 + 0.359124i \(0.883075\pi\)
\(654\) 12.6352 21.8849i 0.494077 0.855766i
\(655\) −2.66099 0.713011i −0.103974 0.0278596i
\(656\) −2.36969 2.36969i −0.0925207 0.0925207i
\(657\) −1.56120 0.418321i −0.0609080 0.0163203i
\(658\) −21.0466 39.8551i −0.820482 1.55371i
\(659\) 1.30483 + 2.26004i 0.0508291 + 0.0880385i 0.890320 0.455334i \(-0.150480\pi\)
−0.839491 + 0.543373i \(0.817147\pi\)
\(660\) 31.9520 18.4475i 1.24373 0.718068i
\(661\) 20.7944 20.7944i 0.808808 0.808808i −0.175646 0.984453i \(-0.556201\pi\)
0.984453 + 0.175646i \(0.0562013\pi\)
\(662\) 52.9819 30.5891i 2.05920 1.18888i
\(663\) −15.9452 + 10.4515i −0.619259 + 0.405902i
\(664\) 25.4353i 0.987081i
\(665\) −26.3040 0.993226i −1.02002 0.0385156i
\(666\) −6.00443 + 10.4000i −0.232667 + 0.402991i
\(667\) 4.50127i 0.174290i
\(668\) −7.91000 + 29.5205i −0.306047 + 1.14218i
\(669\) −3.43827 12.8318i −0.132931 0.496106i
\(670\) −19.9871 + 19.9871i −0.772169 + 0.772169i
\(671\) −11.2698 + 11.2698i −0.435067 + 0.435067i
\(672\) −12.1968 + 11.3092i −0.470502 + 0.436263i
\(673\) 16.3940 + 9.46510i 0.631943 + 0.364853i 0.781504 0.623900i \(-0.214453\pi\)
−0.149561 + 0.988753i \(0.547786\pi\)
\(674\) 5.62669 20.9991i 0.216732 0.808855i
\(675\) −0.272529 0.472034i −0.0104897 0.0181686i
\(676\) −4.55761 40.0834i −0.175293 1.54167i
\(677\) 42.4727 + 24.5216i 1.63236 + 0.942443i 0.983363 + 0.181650i \(0.0581438\pi\)
0.648995 + 0.760793i \(0.275190\pi\)
\(678\) −20.2041 + 5.41367i −0.775933 + 0.207911i
\(679\) −9.81242 43.0588i −0.376566 1.65245i
\(680\) −26.8739 + 15.5157i −1.03057 + 0.594999i
\(681\) 5.16977 + 19.2938i 0.198106 + 0.739342i
\(682\) 59.6783 15.9908i 2.28520 0.612318i
\(683\) 31.9962 8.57335i 1.22430 0.328050i 0.411942 0.911210i \(-0.364851\pi\)
0.812357 + 0.583160i \(0.198184\pi\)
\(684\) −3.39340 12.6644i −0.129750 0.484234i
\(685\) 24.9683 14.4155i 0.953990 0.550786i
\(686\) −15.3250 + 38.9300i −0.585110 + 1.48635i
\(687\) 1.30648 0.350071i 0.0498454 0.0133560i
\(688\) 5.56431 + 3.21256i 0.212138 + 0.122478i
\(689\) −3.87391 + 0.219531i −0.147584 + 0.00836345i
\(690\) 10.5944 + 18.3501i 0.403323 + 0.698576i
\(691\) −1.36491 + 5.09390i −0.0519235 + 0.193781i −0.987016 0.160623i \(-0.948650\pi\)
0.935092 + 0.354404i \(0.115316\pi\)
\(692\) 9.11115 + 5.26032i 0.346354 + 0.199968i
\(693\) −12.7635 3.94181i −0.484847 0.149737i
\(694\) 3.66600 3.66600i 0.139160 0.139160i
\(695\) −33.5408 + 33.5408i −1.27228 + 1.27228i
\(696\) 0.728913 + 2.72034i 0.0276294 + 0.103114i
\(697\) −7.95521 + 29.6892i −0.301325 + 1.12456i
\(698\) 44.1764i 1.67210i
\(699\) 10.9186 18.9116i 0.412979 0.715301i
\(700\) −3.95722 + 2.08972i −0.149569 + 0.0789840i
\(701\) 16.2025i 0.611960i −0.952038 0.305980i \(-0.901016\pi\)
0.952038 0.305980i \(-0.0989841\pi\)
\(702\) −6.07604 5.42433i −0.229326 0.204728i
\(703\) 19.4509 11.2300i 0.733604 0.423546i
\(704\) −46.5867 + 46.5867i −1.75580 + 1.75580i
\(705\) −15.3783 + 8.87869i −0.579182 + 0.334391i
\(706\) 18.7955 + 32.5547i 0.707377 + 1.22521i
\(707\) −1.79031 + 0.945426i −0.0673317 + 0.0355564i
\(708\) 25.3484 + 6.79207i 0.952650 + 0.255262i
\(709\) 18.4817 + 18.4817i 0.694096 + 0.694096i 0.963131 0.269034i \(-0.0867045\pi\)
−0.269034 + 0.963131i \(0.586704\pi\)
\(710\) 69.0489 + 18.5016i 2.59136 + 0.694353i
\(711\) 6.31940 10.9455i 0.236996 0.410489i
\(712\) 11.1398 + 19.2947i 0.417481 + 0.723098i
\(713\) 5.58440 + 20.8413i 0.209137 + 0.780512i
\(714\) 30.1966 + 9.32572i 1.13008 + 0.349006i
\(715\) −35.8523 + 23.4999i −1.34080 + 0.878846i
\(716\) 10.5228 18.2261i 0.393256 0.681140i
\(717\) 2.43660 + 2.43660i 0.0909966 + 0.0909966i
\(718\) 52.6990 1.96671
\(719\) 12.7257 0.474588 0.237294 0.971438i \(-0.423740\pi\)
0.237294 + 0.971438i \(0.423740\pi\)
\(720\) 0.959971 + 0.959971i 0.0357760 + 0.0357760i
\(721\) −0.552787 + 14.6397i −0.0205869 + 0.545210i
\(722\) 0.671916 2.50763i 0.0250061 0.0933242i
\(723\) −4.63565 + 1.24212i −0.172402 + 0.0461949i
\(724\) 29.3265 + 16.9316i 1.08991 + 0.629259i
\(725\) 0.615948i 0.0228758i
\(726\) −31.6229 8.47333i −1.17364 0.314475i
\(727\) 43.5266 1.61431 0.807157 0.590337i \(-0.201005\pi\)
0.807157 + 0.590337i \(0.201005\pi\)
\(728\) −16.4905 + 17.1248i −0.611178 + 0.634686i
\(729\) −1.00000 −0.0370370
\(730\) 8.30485 + 2.22528i 0.307376 + 0.0823612i
\(731\) 58.9292i 2.17958i
\(732\) 8.48339 + 4.89789i 0.313555 + 0.181031i
\(733\) −33.2097 + 8.89851i −1.22663 + 0.328674i −0.813265 0.581893i \(-0.802312\pi\)
−0.413362 + 0.910567i \(0.635646\pi\)
\(734\) −14.0014 + 52.2538i −0.516800 + 1.92872i
\(735\) 15.5548 + 5.45481i 0.573749 + 0.201204i
\(736\) −17.7069 17.7069i −0.652686 0.652686i
\(737\) 26.8284 0.988236
\(738\) −13.1313 −0.483369
\(739\) −11.8263 11.8263i −0.435038 0.435038i 0.455300 0.890338i \(-0.349532\pi\)
−0.890338 + 0.455300i \(0.849532\pi\)
\(740\) 19.4229 33.6414i 0.713999 1.23668i
\(741\) 4.76893 + 14.4678i 0.175191 + 0.531488i
\(742\) 4.37324 + 4.71646i 0.160547 + 0.173147i
\(743\) −5.21828 19.4749i −0.191440 0.714465i −0.993160 0.116764i \(-0.962748\pi\)
0.801719 0.597700i \(-0.203919\pi\)
\(744\) −6.74986 11.6911i −0.247462 0.428617i
\(745\) 18.5832 32.1871i 0.680836 1.17924i
\(746\) −42.6711 11.4337i −1.56230 0.418617i
\(747\) 7.21679 + 7.21679i 0.264048 + 0.264048i
\(748\) 80.0255 + 21.4428i 2.92602 + 0.784025i
\(749\) −17.3488 10.9093i −0.633913 0.398616i
\(750\) −11.8491 20.5233i −0.432669 0.749405i
\(751\) 16.8568 9.73227i 0.615113 0.355136i −0.159851 0.987141i \(-0.551101\pi\)
0.774964 + 0.632006i \(0.217768\pi\)
\(752\) 3.07419 3.07419i 0.112104 0.112104i
\(753\) 15.5010 8.94953i 0.564890 0.326139i
\(754\) −2.88148 8.74172i −0.104937 0.318355i
\(755\) 38.1130i 1.38707i
\(756\) −0.309797 + 8.20446i −0.0112672 + 0.298393i
\(757\) 6.53791 11.3240i 0.237624 0.411577i −0.722408 0.691467i \(-0.756965\pi\)
0.960032 + 0.279890i \(0.0902980\pi\)
\(758\) 86.8001i 3.15272i
\(759\) 5.20516 19.4259i 0.188935 0.705116i
\(760\) 6.41735 + 23.9499i 0.232782 + 0.868754i
\(761\) −31.1657 + 31.1657i −1.12975 + 1.12975i −0.139537 + 0.990217i \(0.544562\pi\)
−0.990217 + 0.139537i \(0.955438\pi\)
\(762\) 1.77664 1.77664i 0.0643608 0.0643608i
\(763\) 28.8567 6.57599i 1.04468 0.238067i
\(764\) −2.80880 1.62166i −0.101619 0.0586696i
\(765\) 3.22269 12.0273i 0.116517 0.434846i
\(766\) 6.81676 + 11.8070i 0.246299 + 0.426603i
\(767\) −29.8511 6.21260i −1.07786 0.224324i
\(768\) 10.4698 + 6.04472i 0.377795 + 0.218120i
\(769\) −12.8186 + 3.43473i −0.462250 + 0.123860i −0.482426 0.875937i \(-0.660244\pi\)
0.0201755 + 0.999796i \(0.493578\pi\)
\(770\) 67.8963 + 20.9686i 2.44681 + 0.755657i
\(771\) 5.54914 3.20380i 0.199847 0.115382i
\(772\) 7.91281 + 29.5310i 0.284788 + 1.06284i
\(773\) −16.4501 + 4.40779i −0.591669 + 0.158537i −0.542216 0.840239i \(-0.682415\pi\)
−0.0494533 + 0.998776i \(0.515748\pi\)
\(774\) 24.3179 &min