Properties

Label 273.2.cg.a.124.9
Level $273$
Weight $2$
Character 273.124
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
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: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 124.9
Character \(\chi\) \(=\) 273.124
Dual form 273.2.cg.a.262.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.705851 - 2.63427i) q^{2} +1.00000i q^{3} +(-4.70911 - 2.71881i) q^{4} +(-0.914933 - 3.41458i) q^{5} +(2.63427 + 0.705851i) q^{6} +(2.62078 + 0.362619i) q^{7} +(-6.62917 + 6.62917i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.705851 - 2.63427i) q^{2} +1.00000i q^{3} +(-4.70911 - 2.71881i) q^{4} +(-0.914933 - 3.41458i) q^{5} +(2.63427 + 0.705851i) q^{6} +(2.62078 + 0.362619i) q^{7} +(-6.62917 + 6.62917i) q^{8} -1.00000 q^{9} -9.64073 q^{10} +(0.312538 - 0.312538i) q^{11} +(2.71881 - 4.70911i) q^{12} +(-3.60449 - 0.0874303i) q^{13} +(2.80512 - 6.64790i) q^{14} +(3.41458 - 0.914933i) q^{15} +(7.34621 + 12.7240i) q^{16} +(0.715520 - 1.23932i) q^{17} +(-0.705851 + 2.63427i) q^{18} +(-0.931473 + 0.931473i) q^{19} +(-4.97505 + 18.5671i) q^{20} +(-0.362619 + 2.62078i) q^{21} +(-0.602706 - 1.04392i) q^{22} +(6.22490 - 3.59395i) q^{23} +(-6.62917 - 6.62917i) q^{24} +(-6.49210 + 3.74822i) q^{25} +(-2.77455 + 9.43350i) q^{26} -1.00000i q^{27} +(-11.3557 - 8.83302i) q^{28} +(3.82097 - 6.61812i) q^{29} -9.64073i q^{30} +(0.698697 + 0.187215i) q^{31} +(20.5926 - 5.51778i) q^{32} +(0.312538 + 0.312538i) q^{33} +(-2.75965 - 2.75965i) q^{34} +(-1.15965 - 9.28064i) q^{35} +(4.70911 + 2.71881i) q^{36} +(-0.982321 - 0.263212i) q^{37} +(1.79627 + 3.11123i) q^{38} +(0.0874303 - 3.60449i) q^{39} +(28.7010 + 16.5706i) q^{40} +(0.748673 + 2.79409i) q^{41} +(6.64790 + 2.80512i) q^{42} +(7.20261 - 4.15843i) q^{43} +(-2.32151 + 0.622047i) q^{44} +(0.914933 + 3.41458i) q^{45} +(-5.07358 - 18.9349i) q^{46} +(0.906290 - 0.242840i) q^{47} +(-12.7240 + 7.34621i) q^{48} +(6.73701 + 1.90069i) q^{49} +(5.29136 + 19.7476i) q^{50} +(1.23932 + 0.715520i) q^{51} +(16.7362 + 10.2116i) q^{52} +(2.48381 + 4.30208i) q^{53} +(-2.63427 - 0.705851i) q^{54} +(-1.35314 - 0.781234i) q^{55} +(-19.7775 + 14.9698i) q^{56} +(-0.931473 - 0.931473i) q^{57} +(-14.7369 - 14.7369i) q^{58} +(-3.14180 + 0.841844i) q^{59} +(-18.5671 - 4.97505i) q^{60} -13.0177i q^{61} +(0.986352 - 1.70841i) q^{62} +(-2.62078 - 0.362619i) q^{63} -28.7565i q^{64} +(2.99933 + 12.3878i) q^{65} +(1.04392 - 0.602706i) q^{66} +(4.49370 + 4.49370i) q^{67} +(-6.73893 + 3.89072i) q^{68} +(3.59395 + 6.22490i) q^{69} +(-25.2663 - 3.49591i) q^{70} +(0.487730 - 1.82023i) q^{71} +(6.62917 - 6.62917i) q^{72} +(-3.29282 + 12.2890i) q^{73} +(-1.38674 + 2.40191i) q^{74} +(-3.74822 - 6.49210i) q^{75} +(6.91890 - 1.85391i) q^{76} +(0.932428 - 0.705763i) q^{77} +(-9.43350 - 2.77455i) q^{78} +(-1.77054 + 3.06666i) q^{79} +(36.7258 - 36.7258i) q^{80} +1.00000 q^{81} +7.88884 q^{82} +(-2.33307 + 2.33307i) q^{83} +(8.83302 - 11.3557i) q^{84} +(-4.88639 - 1.30931i) q^{85} +(-5.87046 - 21.9089i) q^{86} +(6.61812 + 3.82097i) q^{87} +4.14374i q^{88} +(-2.70782 + 10.1057i) q^{89} +9.64073 q^{90} +(-9.41489 - 1.53619i) q^{91} -39.0850 q^{92} +(-0.187215 + 0.698697i) q^{93} -2.55882i q^{94} +(4.03282 + 2.32835i) q^{95} +(5.51778 + 20.5926i) q^{96} +(2.51514 + 0.673929i) q^{97} +(9.76227 - 16.4055i) q^{98} +(-0.312538 + 0.312538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.705851 2.63427i 0.499112 1.86271i −0.00654752 0.999979i \(-0.502084\pi\)
0.505660 0.862733i \(-0.331249\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −4.70911 2.71881i −2.35456 1.35940i
\(5\) −0.914933 3.41458i −0.409170 1.52704i −0.796232 0.604991i \(-0.793177\pi\)
0.387062 0.922054i \(-0.373490\pi\)
\(6\) 2.63427 + 0.705851i 1.07544 + 0.288162i
\(7\) 2.62078 + 0.362619i 0.990563 + 0.137057i
\(8\) −6.62917 + 6.62917i −2.34377 + 2.34377i
\(9\) −1.00000 −0.333333
\(10\) −9.64073 −3.04867
\(11\) 0.312538 0.312538i 0.0942339 0.0942339i −0.658418 0.752652i \(-0.728774\pi\)
0.752652 + 0.658418i \(0.228774\pi\)
\(12\) 2.71881 4.70911i 0.784852 1.35940i
\(13\) −3.60449 0.0874303i −0.999706 0.0242488i
\(14\) 2.80512 6.64790i 0.749700 1.77673i
\(15\) 3.41458 0.914933i 0.881640 0.236235i
\(16\) 7.34621 + 12.7240i 1.83655 + 3.18100i
\(17\) 0.715520 1.23932i 0.173539 0.300578i −0.766116 0.642703i \(-0.777813\pi\)
0.939655 + 0.342124i \(0.111146\pi\)
\(18\) −0.705851 + 2.63427i −0.166371 + 0.620904i
\(19\) −0.931473 + 0.931473i −0.213694 + 0.213694i −0.805835 0.592140i \(-0.798283\pi\)
0.592140 + 0.805835i \(0.298283\pi\)
\(20\) −4.97505 + 18.5671i −1.11246 + 4.15174i
\(21\) −0.362619 + 2.62078i −0.0791300 + 0.571902i
\(22\) −0.602706 1.04392i −0.128497 0.222564i
\(23\) 6.22490 3.59395i 1.29798 0.749390i 0.317926 0.948115i \(-0.397013\pi\)
0.980055 + 0.198725i \(0.0636801\pi\)
\(24\) −6.62917 6.62917i −1.35317 1.35317i
\(25\) −6.49210 + 3.74822i −1.29842 + 0.749643i
\(26\) −2.77455 + 9.43350i −0.544134 + 1.85006i
\(27\) 1.00000i 0.192450i
\(28\) −11.3557 8.83302i −2.14602 1.66928i
\(29\) 3.82097 6.61812i 0.709537 1.22895i −0.255492 0.966811i \(-0.582238\pi\)
0.965029 0.262143i \(-0.0844291\pi\)
\(30\) 9.64073i 1.76015i
\(31\) 0.698697 + 0.187215i 0.125490 + 0.0336249i 0.321017 0.947073i \(-0.395975\pi\)
−0.195528 + 0.980698i \(0.562642\pi\)
\(32\) 20.5926 5.51778i 3.64030 0.975414i
\(33\) 0.312538 + 0.312538i 0.0544060 + 0.0544060i
\(34\) −2.75965 2.75965i −0.473276 0.473276i
\(35\) −1.15965 9.28064i −0.196017 1.56871i
\(36\) 4.70911 + 2.71881i 0.784852 + 0.453135i
\(37\) −0.982321 0.263212i −0.161493 0.0432718i 0.177167 0.984181i \(-0.443307\pi\)
−0.338659 + 0.940909i \(0.609973\pi\)
\(38\) 1.79627 + 3.11123i 0.291394 + 0.504709i
\(39\) 0.0874303 3.60449i 0.0140001 0.577181i
\(40\) 28.7010 + 16.5706i 4.53803 + 2.62003i
\(41\) 0.748673 + 2.79409i 0.116923 + 0.436363i 0.999424 0.0339485i \(-0.0108082\pi\)
−0.882500 + 0.470312i \(0.844142\pi\)
\(42\) 6.64790 + 2.80512i 1.02579 + 0.432840i
\(43\) 7.20261 4.15843i 1.09839 0.634155i 0.162591 0.986694i \(-0.448015\pi\)
0.935797 + 0.352539i \(0.114682\pi\)
\(44\) −2.32151 + 0.622047i −0.349981 + 0.0937771i
\(45\) 0.914933 + 3.41458i 0.136390 + 0.509015i
\(46\) −5.07358 18.9349i −0.748059 2.79180i
\(47\) 0.906290 0.242840i 0.132196 0.0354218i −0.192114 0.981373i \(-0.561534\pi\)
0.324310 + 0.945951i \(0.394868\pi\)
\(48\) −12.7240 + 7.34621i −1.83655 + 1.06033i
\(49\) 6.73701 + 1.90069i 0.962431 + 0.271528i
\(50\) 5.29136 + 19.7476i 0.748312 + 2.79274i
\(51\) 1.23932 + 0.715520i 0.173539 + 0.100193i
\(52\) 16.7362 + 10.2116i 2.32090 + 1.41610i
\(53\) 2.48381 + 4.30208i 0.341177 + 0.590936i 0.984652 0.174531i \(-0.0558411\pi\)
−0.643474 + 0.765468i \(0.722508\pi\)
\(54\) −2.63427 0.705851i −0.358479 0.0960542i
\(55\) −1.35314 0.781234i −0.182457 0.105342i
\(56\) −19.7775 + 14.9698i −2.64288 + 2.00042i
\(57\) −0.931473 0.931473i −0.123377 0.123377i
\(58\) −14.7369 14.7369i −1.93505 1.93505i
\(59\) −3.14180 + 0.841844i −0.409028 + 0.109599i −0.457465 0.889227i \(-0.651243\pi\)
0.0484372 + 0.998826i \(0.484576\pi\)
\(60\) −18.5671 4.97505i −2.39701 0.642277i
\(61\) 13.0177i 1.66674i −0.552715 0.833370i \(-0.686408\pi\)
0.552715 0.833370i \(-0.313592\pi\)
\(62\) 0.986352 1.70841i 0.125267 0.216969i
\(63\) −2.62078 0.362619i −0.330188 0.0456857i
\(64\) 28.7565i 3.59456i
\(65\) 2.99933 + 12.3878i 0.372021 + 1.53652i
\(66\) 1.04392 0.602706i 0.128497 0.0741879i
\(67\) 4.49370 + 4.49370i 0.548993 + 0.548993i 0.926150 0.377156i \(-0.123098\pi\)
−0.377156 + 0.926150i \(0.623098\pi\)
\(68\) −6.73893 + 3.89072i −0.817215 + 0.471819i
\(69\) 3.59395 + 6.22490i 0.432661 + 0.749390i
\(70\) −25.2663 3.49591i −3.01990 0.417842i
\(71\) 0.487730 1.82023i 0.0578829 0.216022i −0.930926 0.365207i \(-0.880998\pi\)
0.988809 + 0.149185i \(0.0476649\pi\)
\(72\) 6.62917 6.62917i 0.781255 0.781255i
\(73\) −3.29282 + 12.2890i −0.385396 + 1.43832i 0.452146 + 0.891944i \(0.350659\pi\)
−0.837542 + 0.546373i \(0.816008\pi\)
\(74\) −1.38674 + 2.40191i −0.161206 + 0.279217i
\(75\) −3.74822 6.49210i −0.432807 0.749643i
\(76\) 6.91890 1.85391i 0.793653 0.212659i
\(77\) 0.932428 0.705763i 0.106260 0.0804292i
\(78\) −9.43350 2.77455i −1.06813 0.314156i
\(79\) −1.77054 + 3.06666i −0.199201 + 0.345026i −0.948270 0.317466i \(-0.897168\pi\)
0.749069 + 0.662493i \(0.230501\pi\)
\(80\) 36.7258 36.7258i 4.10607 4.10607i
\(81\) 1.00000 0.111111
\(82\) 7.88884 0.871176
\(83\) −2.33307 + 2.33307i −0.256087 + 0.256087i −0.823461 0.567373i \(-0.807960\pi\)
0.567373 + 0.823461i \(0.307960\pi\)
\(84\) 8.83302 11.3557i 0.963762 1.23901i
\(85\) −4.88639 1.30931i −0.530004 0.142014i
\(86\) −5.87046 21.9089i −0.633028 2.36249i
\(87\) 6.61812 + 3.82097i 0.709537 + 0.409651i
\(88\) 4.14374i 0.441724i
\(89\) −2.70782 + 10.1057i −0.287028 + 1.07120i 0.660317 + 0.750987i \(0.270422\pi\)
−0.947345 + 0.320216i \(0.896245\pi\)
\(90\) 9.64073 1.01622
\(91\) −9.41489 1.53619i −0.986948 0.161037i
\(92\) −39.0850 −4.07489
\(93\) −0.187215 + 0.698697i −0.0194133 + 0.0724515i
\(94\) 2.55882i 0.263922i
\(95\) 4.03282 + 2.32835i 0.413758 + 0.238884i
\(96\) 5.51778 + 20.5926i 0.563156 + 2.10173i
\(97\) 2.51514 + 0.673929i 0.255373 + 0.0684271i 0.384234 0.923236i \(-0.374465\pi\)
−0.128861 + 0.991663i \(0.541132\pi\)
\(98\) 9.76227 16.4055i 0.986138 1.65721i
\(99\) −0.312538 + 0.312538i −0.0314113 + 0.0314113i
\(100\) 40.7627 4.07627
\(101\) 1.44573 0.143856 0.0719279 0.997410i \(-0.477085\pi\)
0.0719279 + 0.997410i \(0.477085\pi\)
\(102\) 2.75965 2.75965i 0.273246 0.273246i
\(103\) −6.70272 + 11.6095i −0.660439 + 1.14391i 0.320061 + 0.947397i \(0.396296\pi\)
−0.980500 + 0.196517i \(0.937037\pi\)
\(104\) 24.4744 23.3152i 2.39991 2.28624i
\(105\) 9.28064 1.15965i 0.905697 0.113170i
\(106\) 13.0860 3.50640i 1.27103 0.340571i
\(107\) −0.944877 1.63658i −0.0913447 0.158214i 0.816732 0.577017i \(-0.195783\pi\)
−0.908077 + 0.418803i \(0.862450\pi\)
\(108\) −2.71881 + 4.70911i −0.261617 + 0.453135i
\(109\) −1.90898 + 7.12442i −0.182847 + 0.682396i 0.812234 + 0.583332i \(0.198251\pi\)
−0.995081 + 0.0990637i \(0.968415\pi\)
\(110\) −3.01310 + 3.01310i −0.287288 + 0.287288i
\(111\) 0.263212 0.982321i 0.0249830 0.0932378i
\(112\) 14.6389 + 36.0108i 1.38324 + 3.40270i
\(113\) −3.09382 5.35865i −0.291042 0.504100i 0.683014 0.730405i \(-0.260669\pi\)
−0.974056 + 0.226305i \(0.927335\pi\)
\(114\) −3.11123 + 1.79627i −0.291394 + 0.168236i
\(115\) −17.9672 17.9672i −1.67545 1.67545i
\(116\) −35.9868 + 20.7770i −3.34129 + 1.92909i
\(117\) 3.60449 + 0.0874303i 0.333235 + 0.00808293i
\(118\) 8.87058i 0.816603i
\(119\) 2.32462 2.98852i 0.213098 0.273957i
\(120\) −16.5706 + 28.7010i −1.51268 + 2.62003i
\(121\) 10.8046i 0.982240i
\(122\) −34.2921 9.18853i −3.10466 0.831890i
\(123\) −2.79409 + 0.748673i −0.251934 + 0.0675056i
\(124\) −2.78124 2.78124i −0.249763 0.249763i
\(125\) 6.24018 + 6.24018i 0.558139 + 0.558139i
\(126\) −2.80512 + 6.64790i −0.249900 + 0.592242i
\(127\) 5.90231 + 3.40770i 0.523745 + 0.302384i 0.738466 0.674291i \(-0.235551\pi\)
−0.214721 + 0.976676i \(0.568884\pi\)
\(128\) −34.5671 9.26222i −3.05533 0.818672i
\(129\) 4.15843 + 7.20261i 0.366129 + 0.634155i
\(130\) 34.7499 + 0.842892i 3.04777 + 0.0739265i
\(131\) −3.17967 1.83578i −0.277809 0.160393i 0.354622 0.935010i \(-0.384610\pi\)
−0.632431 + 0.774617i \(0.717943\pi\)
\(132\) −0.622047 2.32151i −0.0541422 0.202062i
\(133\) −2.77896 + 2.10342i −0.240966 + 0.182389i
\(134\) 15.0095 8.66575i 1.29662 0.748607i
\(135\) −3.41458 + 0.914933i −0.293880 + 0.0787449i
\(136\) 3.47234 + 12.9589i 0.297751 + 1.11122i
\(137\) −2.04025 7.61433i −0.174311 0.650536i −0.996668 0.0815648i \(-0.974008\pi\)
0.822357 0.568971i \(-0.192658\pi\)
\(138\) 18.9349 5.07358i 1.61184 0.431892i
\(139\) −10.3222 + 5.95952i −0.875517 + 0.505480i −0.869178 0.494500i \(-0.835351\pi\)
−0.00633943 + 0.999980i \(0.502018\pi\)
\(140\) −19.7713 + 46.8564i −1.67098 + 3.96009i
\(141\) 0.242840 + 0.906290i 0.0204508 + 0.0763234i
\(142\) −4.45073 2.56963i −0.373497 0.215638i
\(143\) −1.15387 + 1.09922i −0.0964912 + 0.0919211i
\(144\) −7.34621 12.7240i −0.612184 1.06033i
\(145\) −26.0940 6.99187i −2.16699 0.580643i
\(146\) 30.0483 + 17.3484i 2.48681 + 1.43576i
\(147\) −1.90069 + 6.73701i −0.156767 + 0.555660i
\(148\) 3.91024 + 3.91024i 0.321420 + 0.321420i
\(149\) 15.3953 + 15.3953i 1.26123 + 1.26123i 0.950497 + 0.310735i \(0.100575\pi\)
0.310735 + 0.950497i \(0.399425\pi\)
\(150\) −19.7476 + 5.29136i −1.61239 + 0.432038i
\(151\) 13.4854 + 3.61340i 1.09742 + 0.294054i 0.761715 0.647912i \(-0.224357\pi\)
0.335709 + 0.941966i \(0.391024\pi\)
\(152\) 12.3498i 1.00170i
\(153\) −0.715520 + 1.23932i −0.0578464 + 0.100193i
\(154\) −1.20102 2.95443i −0.0967807 0.238075i
\(155\) 2.55704i 0.205387i
\(156\) −10.2116 + 16.7362i −0.817585 + 1.33997i
\(157\) 12.9689 7.48759i 1.03503 0.597574i 0.116608 0.993178i \(-0.462798\pi\)
0.918421 + 0.395604i \(0.129465\pi\)
\(158\) 6.82869 + 6.82869i 0.543261 + 0.543261i
\(159\) −4.30208 + 2.48381i −0.341177 + 0.196979i
\(160\) −37.6817 65.2667i −2.97900 5.15978i
\(161\) 17.6174 7.16169i 1.38844 0.564420i
\(162\) 0.705851 2.63427i 0.0554569 0.206968i
\(163\) −6.25479 + 6.25479i −0.489913 + 0.489913i −0.908279 0.418366i \(-0.862603\pi\)
0.418366 + 0.908279i \(0.362603\pi\)
\(164\) 4.07100 15.1932i 0.317891 1.18639i
\(165\) 0.781234 1.35314i 0.0608190 0.105342i
\(166\) 4.49914 + 7.79273i 0.349201 + 0.604833i
\(167\) 0.331336 0.0887813i 0.0256396 0.00687010i −0.245976 0.969276i \(-0.579109\pi\)
0.271616 + 0.962406i \(0.412442\pi\)
\(168\) −14.9698 19.7775i −1.15494 1.52587i
\(169\) 12.9847 + 0.630284i 0.998824 + 0.0484833i
\(170\) −6.89813 + 11.9479i −0.529063 + 0.916363i
\(171\) 0.931473 0.931473i 0.0712315 0.0712315i
\(172\) −45.2239 −3.44829
\(173\) 9.25073 0.703320 0.351660 0.936128i \(-0.385617\pi\)
0.351660 + 0.936128i \(0.385617\pi\)
\(174\) 14.7369 14.7369i 1.11720 1.11720i
\(175\) −18.3736 + 7.46910i −1.38891 + 0.564611i
\(176\) 6.27272 + 1.68077i 0.472824 + 0.126693i
\(177\) −0.841844 3.14180i −0.0632769 0.236152i
\(178\) 24.7099 + 14.2663i 1.85208 + 1.06930i
\(179\) 14.6054i 1.09166i −0.837897 0.545829i \(-0.816215\pi\)
0.837897 0.545829i \(-0.183785\pi\)
\(180\) 4.97505 18.5671i 0.370819 1.38391i
\(181\) 8.63806 0.642062 0.321031 0.947069i \(-0.395971\pi\)
0.321031 + 0.947069i \(0.395971\pi\)
\(182\) −10.6923 + 23.7171i −0.792563 + 1.75802i
\(183\) 13.0177 0.962293
\(184\) −17.4410 + 65.0908i −1.28577 + 4.79856i
\(185\) 3.59503i 0.264312i
\(186\) 1.70841 + 0.986352i 0.125267 + 0.0723228i
\(187\) −0.163707 0.610962i −0.0119714 0.0446779i
\(188\) −4.92806 1.32047i −0.359415 0.0963051i
\(189\) 0.362619 2.62078i 0.0263767 0.190634i
\(190\) 8.98007 8.98007i 0.651483 0.651483i
\(191\) −7.04823 −0.509992 −0.254996 0.966942i \(-0.582074\pi\)
−0.254996 + 0.966942i \(0.582074\pi\)
\(192\) 28.7565 2.07532
\(193\) 16.3420 16.3420i 1.17633 1.17633i 0.195652 0.980673i \(-0.437318\pi\)
0.980673 0.195652i \(-0.0626822\pi\)
\(194\) 3.55062 6.14986i 0.254920 0.441534i
\(195\) −12.3878 + 2.99933i −0.887109 + 0.214786i
\(196\) −26.5577 27.2672i −1.89698 1.94766i
\(197\) −18.7705 + 5.02954i −1.33734 + 0.358340i −0.855448 0.517889i \(-0.826718\pi\)
−0.481895 + 0.876229i \(0.660051\pi\)
\(198\) 0.602706 + 1.04392i 0.0428324 + 0.0741879i
\(199\) 8.90538 15.4246i 0.631285 1.09342i −0.356004 0.934485i \(-0.615861\pi\)
0.987289 0.158934i \(-0.0508057\pi\)
\(200\) 18.1897 67.8848i 1.28620 4.80018i
\(201\) −4.49370 + 4.49370i −0.316961 + 0.316961i
\(202\) 1.02047 3.80846i 0.0718002 0.267962i
\(203\) 12.4138 15.9591i 0.871278 1.12011i
\(204\) −3.89072 6.73893i −0.272405 0.471819i
\(205\) 8.85563 5.11280i 0.618504 0.357094i
\(206\) 25.8513 + 25.8513i 1.80115 + 1.80115i
\(207\) −6.22490 + 3.59395i −0.432661 + 0.249797i
\(208\) −25.3669 46.5059i −1.75888 3.22460i
\(209\) 0.582242i 0.0402745i
\(210\) 3.49591 25.2663i 0.241241 1.74354i
\(211\) −5.03848 + 8.72690i −0.346863 + 0.600785i −0.985690 0.168565i \(-0.946087\pi\)
0.638827 + 0.769350i \(0.279420\pi\)
\(212\) 27.0120i 1.85519i
\(213\) 1.82023 + 0.487730i 0.124720 + 0.0334187i
\(214\) −4.97813 + 1.33388i −0.340298 + 0.0911825i
\(215\) −20.7892 20.7892i −1.41781 1.41781i
\(216\) 6.62917 + 6.62917i 0.451058 + 0.451058i
\(217\) 1.76325 + 0.744012i 0.119697 + 0.0505068i
\(218\) 17.4202 + 10.0576i 1.17985 + 0.681184i
\(219\) −12.2890 3.29282i −0.830413 0.222508i
\(220\) 4.24805 + 7.35784i 0.286404 + 0.496066i
\(221\) −2.68744 + 4.40455i −0.180777 + 0.296282i
\(222\) −2.40191 1.38674i −0.161206 0.0930722i
\(223\) −0.246185 0.918774i −0.0164857 0.0615256i 0.957193 0.289451i \(-0.0934726\pi\)
−0.973679 + 0.227925i \(0.926806\pi\)
\(224\) 55.9697 6.99362i 3.73963 0.467281i
\(225\) 6.49210 3.74822i 0.432807 0.249881i
\(226\) −16.2999 + 4.36755i −1.08425 + 0.290525i
\(227\) −6.34800 23.6911i −0.421331 1.57243i −0.771806 0.635858i \(-0.780646\pi\)
0.350475 0.936572i \(-0.386020\pi\)
\(228\) 1.85391 + 6.91890i 0.122779 + 0.458216i
\(229\) −19.9283 + 5.33978i −1.31690 + 0.352863i −0.847816 0.530290i \(-0.822083\pi\)
−0.469085 + 0.883153i \(0.655416\pi\)
\(230\) −60.0126 + 34.6483i −3.95711 + 2.28464i
\(231\) 0.705763 + 0.932428i 0.0464358 + 0.0613493i
\(232\) 18.5428 + 69.2025i 1.21739 + 4.54337i
\(233\) −19.6906 11.3684i −1.28998 0.744768i −0.311326 0.950303i \(-0.600773\pi\)
−0.978650 + 0.205536i \(0.934106\pi\)
\(234\) 2.77455 9.43350i 0.181378 0.616687i
\(235\) −1.65839 2.87241i −0.108181 0.187376i
\(236\) 17.0839 + 4.57762i 1.11207 + 0.297978i
\(237\) −3.06666 1.77054i −0.199201 0.115009i
\(238\) −6.23174 8.23314i −0.403944 0.533675i
\(239\) 20.7640 + 20.7640i 1.34311 + 1.34311i 0.892943 + 0.450171i \(0.148637\pi\)
0.450171 + 0.892943i \(0.351363\pi\)
\(240\) 36.7258 + 36.7258i 2.37064 + 2.37064i
\(241\) −6.55065 + 1.75524i −0.421965 + 0.113065i −0.463552 0.886070i \(-0.653425\pi\)
0.0415872 + 0.999135i \(0.486759\pi\)
\(242\) 28.4624 + 7.62647i 1.82963 + 0.490248i
\(243\) 1.00000i 0.0641500i
\(244\) −35.3925 + 61.3016i −2.26577 + 3.92443i
\(245\) 0.326147 24.7431i 0.0208367 1.58078i
\(246\) 7.88884i 0.502974i
\(247\) 3.43892 3.27605i 0.218813 0.208450i
\(248\) −5.87286 + 3.39070i −0.372927 + 0.215310i
\(249\) −2.33307 2.33307i −0.147852 0.147852i
\(250\) 20.8430 12.0337i 1.31823 0.761078i
\(251\) −2.83547 4.91118i −0.178973 0.309991i 0.762556 0.646922i \(-0.223944\pi\)
−0.941529 + 0.336932i \(0.890611\pi\)
\(252\) 11.3557 + 8.83302i 0.715340 + 0.556428i
\(253\) 0.822274 3.06877i 0.0516959 0.192932i
\(254\) 13.1430 13.1430i 0.824662 0.824662i
\(255\) 1.30931 4.88639i 0.0819919 0.305998i
\(256\) −20.0419 + 34.7137i −1.25262 + 2.16960i
\(257\) 0.596987 + 1.03401i 0.0372390 + 0.0644999i 0.884044 0.467403i \(-0.154810\pi\)
−0.846805 + 0.531903i \(0.821477\pi\)
\(258\) 21.9089 5.87046i 1.36399 0.365479i
\(259\) −2.47901 1.04603i −0.154038 0.0649972i
\(260\) 19.5559 66.4902i 1.21280 4.12354i
\(261\) −3.82097 + 6.61812i −0.236512 + 0.409651i
\(262\) −7.08033 + 7.08033i −0.437424 + 0.437424i
\(263\) −24.1173 −1.48714 −0.743569 0.668660i \(-0.766868\pi\)
−0.743569 + 0.668660i \(0.766868\pi\)
\(264\) −4.14374 −0.255030
\(265\) 12.4173 12.4173i 0.762786 0.762786i
\(266\) 3.57945 + 8.80523i 0.219470 + 0.539883i
\(267\) −10.1057 2.70782i −0.618459 0.165716i
\(268\) −8.94384 33.3789i −0.546332 2.03894i
\(269\) 15.9791 + 9.22552i 0.974261 + 0.562490i 0.900533 0.434788i \(-0.143177\pi\)
0.0737284 + 0.997278i \(0.476510\pi\)
\(270\) 9.64073i 0.586716i
\(271\) −0.254418 + 0.949503i −0.0154548 + 0.0576782i −0.973223 0.229865i \(-0.926172\pi\)
0.957768 + 0.287543i \(0.0928383\pi\)
\(272\) 21.0254 1.27486
\(273\) 1.53619 9.41489i 0.0929747 0.569815i
\(274\) −21.4983 −1.29876
\(275\) −0.857569 + 3.20049i −0.0517134 + 0.192997i
\(276\) 39.0850i 2.35264i
\(277\) −15.6299 9.02390i −0.939107 0.542194i −0.0494268 0.998778i \(-0.515739\pi\)
−0.889680 + 0.456584i \(0.849073\pi\)
\(278\) 8.41307 + 31.3980i 0.504582 + 1.88313i
\(279\) −0.698697 0.187215i −0.0418299 0.0112083i
\(280\) 69.2104 + 53.8354i 4.13611 + 3.21728i
\(281\) 15.4188 15.4188i 0.919807 0.919807i −0.0772077 0.997015i \(-0.524600\pi\)
0.997015 + 0.0772077i \(0.0246005\pi\)
\(282\) 2.55882 0.152376
\(283\) −27.4720 −1.63304 −0.816521 0.577316i \(-0.804100\pi\)
−0.816521 + 0.577316i \(0.804100\pi\)
\(284\) −7.24564 + 7.24564i −0.429950 + 0.429950i
\(285\) −2.32835 + 4.03282i −0.137919 + 0.238884i
\(286\) 2.08118 + 3.81548i 0.123063 + 0.225614i
\(287\) 0.948921 + 7.59418i 0.0560130 + 0.448270i
\(288\) −20.5926 + 5.51778i −1.21343 + 0.325138i
\(289\) 7.47606 + 12.9489i 0.439768 + 0.761701i
\(290\) −36.8370 + 63.8035i −2.16314 + 3.74667i
\(291\) −0.673929 + 2.51514i −0.0395064 + 0.147440i
\(292\) 48.9177 48.9177i 2.86269 2.86269i
\(293\) −2.03171 + 7.58244i −0.118694 + 0.442971i −0.999537 0.0304377i \(-0.990310\pi\)
0.880843 + 0.473409i \(0.156977\pi\)
\(294\) 16.4055 + 9.76227i 0.956790 + 0.569347i
\(295\) 5.74908 + 9.95770i 0.334724 + 0.579760i
\(296\) 8.25685 4.76709i 0.479920 0.277082i
\(297\) −0.312538 0.312538i −0.0181353 0.0181353i
\(298\) 51.4222 29.6886i 2.97881 1.71982i
\(299\) −22.7518 + 12.4101i −1.31577 + 0.717695i
\(300\) 40.7627i 2.35344i
\(301\) 20.3844 8.28654i 1.17494 0.477628i
\(302\) 19.0373 32.9736i 1.09548 1.89742i
\(303\) 1.44573i 0.0830552i
\(304\) −18.6949 5.00927i −1.07222 0.287302i
\(305\) −44.4498 + 11.9103i −2.54519 + 0.681981i
\(306\) 2.75965 + 2.75965i 0.157759 + 0.157759i
\(307\) 16.1223 + 16.1223i 0.920147 + 0.920147i 0.997039 0.0768923i \(-0.0244998\pi\)
−0.0768923 + 0.997039i \(0.524500\pi\)
\(308\) −6.30974 + 0.788426i −0.359531 + 0.0449247i
\(309\) −11.6095 6.70272i −0.660439 0.381305i
\(310\) −6.73595 1.80489i −0.382576 0.102511i
\(311\) 2.75580 + 4.77319i 0.156267 + 0.270663i 0.933520 0.358526i \(-0.116721\pi\)
−0.777253 + 0.629189i \(0.783387\pi\)
\(312\) 23.3152 + 24.4744i 1.31996 + 1.38559i
\(313\) 16.8101 + 9.70534i 0.950165 + 0.548578i 0.893132 0.449794i \(-0.148503\pi\)
0.0570329 + 0.998372i \(0.481836\pi\)
\(314\) −10.5702 39.4487i −0.596513 2.22622i
\(315\) 1.15965 + 9.28064i 0.0653389 + 0.522905i
\(316\) 16.6753 9.62750i 0.938060 0.541589i
\(317\) −27.1214 + 7.26716i −1.52329 + 0.408164i −0.920823 0.389980i \(-0.872482\pi\)
−0.602467 + 0.798144i \(0.705815\pi\)
\(318\) 3.50640 + 13.0860i 0.196629 + 0.733829i
\(319\) −0.874216 3.26262i −0.0489467 0.182671i
\(320\) −98.1911 + 26.3102i −5.48905 + 1.47079i
\(321\) 1.63658 0.944877i 0.0913447 0.0527379i
\(322\) −6.43062 51.4640i −0.358364 2.86798i
\(323\) 0.487902 + 1.82088i 0.0271476 + 0.101316i
\(324\) −4.70911 2.71881i −0.261617 0.151045i
\(325\) 23.7284 12.9428i 1.31622 0.717937i
\(326\) 12.0619 + 20.8918i 0.668045 + 1.15709i
\(327\) −7.12442 1.90898i −0.393981 0.105567i
\(328\) −23.4856 13.5594i −1.29677 0.748692i
\(329\) 2.46325 0.307792i 0.135803 0.0169691i
\(330\) −3.01310 3.01310i −0.165866 0.165866i
\(331\) 5.36907 + 5.36907i 0.295111 + 0.295111i 0.839095 0.543985i \(-0.183085\pi\)
−0.543985 + 0.839095i \(0.683085\pi\)
\(332\) 17.3298 4.64352i 0.951098 0.254846i
\(333\) 0.982321 + 0.263212i 0.0538309 + 0.0144239i
\(334\) 0.935496i 0.0511881i
\(335\) 11.2327 19.4555i 0.613705 1.06297i
\(336\) −36.0108 + 14.6389i −1.96455 + 0.798615i
\(337\) 3.26189i 0.177686i −0.996046 0.0888431i \(-0.971683\pi\)
0.996046 0.0888431i \(-0.0283170\pi\)
\(338\) 10.8256 33.7604i 0.588836 1.83632i
\(339\) 5.35865 3.09382i 0.291042 0.168033i
\(340\) 19.4508 + 19.4508i 1.05487 + 1.05487i
\(341\) 0.276882 0.159858i 0.0149940 0.00865678i
\(342\) −1.79627 3.11123i −0.0971312 0.168236i
\(343\) 16.9670 + 7.42428i 0.916133 + 0.400873i
\(344\) −20.1804 + 75.3143i −1.08805 + 4.06067i
\(345\) 17.9672 17.9672i 0.967320 0.967320i
\(346\) 6.52964 24.3689i 0.351035 1.31008i
\(347\) 15.4833 26.8178i 0.831185 1.43965i −0.0659143 0.997825i \(-0.520996\pi\)
0.897099 0.441829i \(-0.145670\pi\)
\(348\) −20.7770 35.9868i −1.11376 1.92909i
\(349\) 11.7105 3.13781i 0.626847 0.167963i 0.0686086 0.997644i \(-0.478144\pi\)
0.558239 + 0.829680i \(0.311477\pi\)
\(350\) 6.70664 + 53.6730i 0.358485 + 2.86894i
\(351\) −0.0874303 + 3.60449i −0.00466668 + 0.192394i
\(352\) 4.71147 8.16050i 0.251122 0.434956i
\(353\) −20.7922 + 20.7922i −1.10665 + 1.10665i −0.113068 + 0.993587i \(0.536068\pi\)
−0.993587 + 0.113068i \(0.963932\pi\)
\(354\) −8.87058 −0.471466
\(355\) −6.66157 −0.353559
\(356\) 40.2269 40.2269i 2.13202 2.13202i
\(357\) 2.98852 + 2.32462i 0.158169 + 0.123032i
\(358\) −38.4746 10.3092i −2.03344 0.544860i
\(359\) −2.40975 8.99331i −0.127182 0.474649i 0.872726 0.488210i \(-0.162350\pi\)
−0.999908 + 0.0135610i \(0.995683\pi\)
\(360\) −28.7010 16.5706i −1.51268 0.873345i
\(361\) 17.2647i 0.908669i
\(362\) 6.09719 22.7550i 0.320461 1.19598i
\(363\) −10.8046 −0.567097
\(364\) 40.1592 + 32.8314i 2.10491 + 1.72083i
\(365\) 44.9744 2.35407
\(366\) 9.18853 34.2921i 0.480292 1.79247i
\(367\) 25.2235i 1.31666i −0.752731 0.658329i \(-0.771264\pi\)
0.752731 0.658329i \(-0.228736\pi\)
\(368\) 91.4589 + 52.8038i 4.76763 + 2.75259i
\(369\) −0.748673 2.79409i −0.0389744 0.145454i
\(370\) 9.47029 + 2.53756i 0.492337 + 0.131921i
\(371\) 4.94950 + 12.1755i 0.256965 + 0.632120i
\(372\) 2.78124 2.78124i 0.144201 0.144201i
\(373\) −1.04834 −0.0542808 −0.0271404 0.999632i \(-0.508640\pi\)
−0.0271404 + 0.999632i \(0.508640\pi\)
\(374\) −1.72499 −0.0891972
\(375\) −6.24018 + 6.24018i −0.322242 + 0.322242i
\(376\) −4.39812 + 7.61777i −0.226816 + 0.392857i
\(377\) −14.3513 + 23.5209i −0.739129 + 1.21139i
\(378\) −6.64790 2.80512i −0.341931 0.144280i
\(379\) −15.3006 + 4.09979i −0.785941 + 0.210592i −0.629402 0.777080i \(-0.716700\pi\)
−0.156539 + 0.987672i \(0.550034\pi\)
\(380\) −12.6607 21.9289i −0.649478 1.12493i
\(381\) −3.40770 + 5.90231i −0.174582 + 0.302384i
\(382\) −4.97500 + 18.5669i −0.254543 + 0.949968i
\(383\) 18.3682 18.3682i 0.938571 0.938571i −0.0596485 0.998219i \(-0.518998\pi\)
0.998219 + 0.0596485i \(0.0189980\pi\)
\(384\) 9.26222 34.5671i 0.472661 1.76399i
\(385\) −3.26299 2.53812i −0.166297 0.129355i
\(386\) −31.5143 54.5844i −1.60404 2.77827i
\(387\) −7.20261 + 4.15843i −0.366129 + 0.211385i
\(388\) −10.0118 10.0118i −0.508271 0.508271i
\(389\) −20.0494 + 11.5755i −1.01655 + 0.586903i −0.913102 0.407732i \(-0.866320\pi\)
−0.103444 + 0.994635i \(0.532986\pi\)
\(390\) −0.842892 + 34.7499i −0.0426815 + 1.75963i
\(391\) 10.2862i 0.520194i
\(392\) −57.2608 + 32.0608i −2.89211 + 1.61931i
\(393\) 1.83578 3.17967i 0.0926031 0.160393i
\(394\) 52.9967i 2.66994i
\(395\) 12.0913 + 3.23985i 0.608378 + 0.163014i
\(396\) 2.32151 0.622047i 0.116660 0.0312590i
\(397\) −8.35961 8.35961i −0.419557 0.419557i 0.465494 0.885051i \(-0.345877\pi\)
−0.885051 + 0.465494i \(0.845877\pi\)
\(398\) −34.3466 34.3466i −1.72164 1.72164i
\(399\) −2.10342 2.77896i −0.105303 0.139122i
\(400\) −95.3847 55.0704i −4.76923 2.75352i
\(401\) −20.1219 5.39164i −1.00484 0.269245i −0.281367 0.959600i \(-0.590788\pi\)
−0.723471 + 0.690355i \(0.757454\pi\)
\(402\) 8.66575 + 15.0095i 0.432208 + 0.748607i
\(403\) −2.50208 0.735903i −0.124637 0.0366580i
\(404\) −6.80812 3.93067i −0.338717 0.195558i
\(405\) −0.914933 3.41458i −0.0454634 0.169672i
\(406\) −33.2783 43.9661i −1.65158 2.18200i
\(407\) −0.389277 + 0.224749i −0.0192957 + 0.0111404i
\(408\) −12.9589 + 3.47234i −0.641563 + 0.171906i
\(409\) 4.11554 + 15.3594i 0.203501 + 0.759474i 0.989901 + 0.141758i \(0.0452754\pi\)
−0.786401 + 0.617717i \(0.788058\pi\)
\(410\) −7.21775 26.9370i −0.356459 1.33032i
\(411\) 7.61433 2.04025i 0.375587 0.100638i
\(412\) 63.1278 36.4468i 3.11008 1.79561i
\(413\) −8.53926 + 1.06701i −0.420189 + 0.0525042i
\(414\) 5.07358 + 18.9349i 0.249353 + 0.930598i
\(415\) 10.1010 + 5.83183i 0.495840 + 0.286274i
\(416\) −74.7084 + 18.0884i −3.66288 + 0.886855i
\(417\) −5.95952 10.3222i −0.291839 0.505480i
\(418\) 1.53378 + 0.410976i 0.0750198 + 0.0201015i
\(419\) 4.29128 + 2.47757i 0.209643 + 0.121037i 0.601145 0.799140i \(-0.294711\pi\)
−0.391503 + 0.920177i \(0.628045\pi\)
\(420\) −46.8564 19.7713i −2.28636 0.964743i
\(421\) 0.811225 + 0.811225i 0.0395367 + 0.0395367i 0.726599 0.687062i \(-0.241100\pi\)
−0.687062 + 0.726599i \(0.741100\pi\)
\(422\) 19.4326 + 19.4326i 0.945965 + 0.945965i
\(423\) −0.906290 + 0.242840i −0.0440653 + 0.0118073i
\(424\) −44.9848 12.0536i −2.18465 0.585376i
\(425\) 10.7277i 0.520369i
\(426\) 2.56963 4.45073i 0.124499 0.215638i
\(427\) 4.72045 34.1165i 0.228439 1.65101i
\(428\) 10.2758i 0.496697i
\(429\) −1.09922 1.15387i −0.0530707 0.0557092i
\(430\) −69.4384 + 40.0903i −3.34862 + 1.93333i
\(431\) −14.4954 14.4954i −0.698217 0.698217i 0.265809 0.964026i \(-0.414361\pi\)
−0.964026 + 0.265809i \(0.914361\pi\)
\(432\) 12.7240 7.34621i 0.612184 0.353445i
\(433\) 0.246122 + 0.426295i 0.0118279 + 0.0204864i 0.871879 0.489722i \(-0.162902\pi\)
−0.860051 + 0.510208i \(0.829568\pi\)
\(434\) 3.20452 4.11971i 0.153822 0.197752i
\(435\) 6.99187 26.0940i 0.335234 1.25111i
\(436\) 28.3596 28.3596i 1.35818 1.35818i
\(437\) −2.45066 + 9.14599i −0.117231 + 0.437512i
\(438\) −17.3484 + 30.0483i −0.828938 + 1.43576i
\(439\) 11.1891 + 19.3801i 0.534028 + 0.924963i 0.999210 + 0.0397478i \(0.0126555\pi\)
−0.465182 + 0.885215i \(0.654011\pi\)
\(440\) 14.1491 3.79124i 0.674533 0.180740i
\(441\) −6.73701 1.90069i −0.320810 0.0905092i
\(442\) 9.70585 + 10.1884i 0.461660 + 0.484613i
\(443\) 4.77420 8.26916i 0.226829 0.392880i −0.730038 0.683407i \(-0.760497\pi\)
0.956867 + 0.290527i \(0.0938308\pi\)
\(444\) −3.91024 + 3.91024i −0.185572 + 0.185572i
\(445\) 36.9842 1.75322
\(446\) −2.59407 −0.122833
\(447\) −15.3953 + 15.3953i −0.728172 + 0.728172i
\(448\) 10.4276 75.3644i 0.492660 3.56064i
\(449\) −17.1874 4.60535i −0.811124 0.217340i −0.170662 0.985330i \(-0.554591\pi\)
−0.640462 + 0.767990i \(0.721257\pi\)
\(450\) −5.29136 19.7476i −0.249437 0.930913i
\(451\) 1.10725 + 0.639270i 0.0521383 + 0.0301021i
\(452\) 33.6460i 1.58257i
\(453\) −3.61340 + 13.4854i −0.169772 + 0.633598i
\(454\) −66.8894 −3.13928
\(455\) 3.36854 + 33.5534i 0.157920 + 1.57301i
\(456\) 12.3498 0.578331
\(457\) −7.13005 + 26.6097i −0.333530 + 1.24475i 0.571925 + 0.820306i \(0.306197\pi\)
−0.905455 + 0.424443i \(0.860470\pi\)
\(458\) 56.2658i 2.62913i
\(459\) −1.23932 0.715520i −0.0578464 0.0333976i
\(460\) 35.7602 + 133.459i 1.66733 + 6.22255i
\(461\) 10.0918 + 2.70408i 0.470021 + 0.125942i 0.486052 0.873930i \(-0.338437\pi\)
−0.0160314 + 0.999871i \(0.505103\pi\)
\(462\) 2.95443 1.20102i 0.137453 0.0558764i
\(463\) −10.7292 + 10.7292i −0.498628 + 0.498628i −0.911011 0.412382i \(-0.864697\pi\)
0.412382 + 0.911011i \(0.364697\pi\)
\(464\) 112.279 5.21241
\(465\) 2.55704 0.118580
\(466\) −43.8461 + 43.8461i −2.03113 + 2.03113i
\(467\) 7.08987 12.2800i 0.328080 0.568251i −0.654051 0.756451i \(-0.726932\pi\)
0.982131 + 0.188199i \(0.0602651\pi\)
\(468\) −16.7362 10.2116i −0.773633 0.472033i
\(469\) 10.1475 + 13.4065i 0.468569 + 0.619056i
\(470\) −8.73729 + 2.34115i −0.403021 + 0.107989i
\(471\) 7.48759 + 12.9689i 0.345010 + 0.597574i
\(472\) 15.2468 26.4083i 0.701792 1.21554i
\(473\) 0.951424 3.55076i 0.0437465 0.163264i
\(474\) −6.82869 + 6.82869i −0.313652 + 0.313652i
\(475\) 2.55585 9.53857i 0.117271 0.437660i
\(476\) −19.0721 + 7.75308i −0.874169 + 0.355362i
\(477\) −2.48381 4.30208i −0.113726 0.196979i
\(478\) 69.3544 40.0418i 3.17220 1.83147i
\(479\) 17.7459 + 17.7459i 0.810829 + 0.810829i 0.984758 0.173929i \(-0.0556463\pi\)
−0.173929 + 0.984758i \(0.555646\pi\)
\(480\) 65.2667 37.6817i 2.97900 1.71993i
\(481\) 3.51775 + 1.03463i 0.160396 + 0.0471751i
\(482\) 18.4951i 0.842431i
\(483\) 7.16169 + 17.6174i 0.325868 + 0.801617i
\(484\) 29.3757 50.8803i 1.33526 2.31274i
\(485\) 9.20473i 0.417965i
\(486\) 2.63427 + 0.705851i 0.119493 + 0.0320181i
\(487\) 23.4418 6.28121i 1.06225 0.284629i 0.314944 0.949110i \(-0.398014\pi\)
0.747305 + 0.664481i \(0.231347\pi\)
\(488\) 86.2963 + 86.2963i 3.90645 + 3.90645i
\(489\) −6.25479 6.25479i −0.282851 0.282851i
\(490\) −64.9497 18.3241i −2.93413 0.827797i
\(491\) −9.68019 5.58886i −0.436861 0.252222i 0.265404 0.964137i \(-0.414495\pi\)
−0.702265 + 0.711915i \(0.747828\pi\)
\(492\) 15.1932 + 4.07100i 0.684961 + 0.183535i
\(493\) −5.46796 9.47079i −0.246265 0.426543i
\(494\) −6.20263 11.3715i −0.279069 0.511626i
\(495\) 1.35314 + 0.781234i 0.0608190 + 0.0351139i
\(496\) 2.75065 + 10.2656i 0.123508 + 0.460937i
\(497\) 1.93829 4.59358i 0.0869441 0.206050i
\(498\) −7.79273 + 4.49914i −0.349201 + 0.201611i
\(499\) 38.1144 10.2127i 1.70623 0.457184i 0.731737 0.681587i \(-0.238710\pi\)
0.974496 + 0.224403i \(0.0720431\pi\)
\(500\) −12.4199 46.3516i −0.555434 2.07291i
\(501\) 0.0887813 + 0.331336i 0.00396645 + 0.0148030i
\(502\) −14.9388 + 4.00284i −0.666751 + 0.178655i
\(503\) 7.48538 4.32169i 0.333757 0.192694i −0.323751 0.946142i \(-0.604944\pi\)
0.657508 + 0.753448i \(0.271611\pi\)
\(504\) 19.7775 14.9698i 0.880959 0.666806i
\(505\) −1.32275 4.93657i −0.0588616 0.219674i
\(506\) −7.50357 4.33219i −0.333574 0.192589i
\(507\) −0.630284 + 12.9847i −0.0279919 + 0.576671i
\(508\) −18.5297 32.0945i −0.822125 1.42396i
\(509\) 5.40390 + 1.44797i 0.239524 + 0.0641801i 0.376584 0.926383i \(-0.377099\pi\)
−0.137060 + 0.990563i \(0.543765\pi\)
\(510\) −11.9479 6.89813i −0.529063 0.305454i
\(511\) −13.0860 + 31.0127i −0.578891 + 1.37192i
\(512\) 26.6889 + 26.6889i 1.17950 + 1.17950i
\(513\) 0.931473 + 0.931473i 0.0411255 + 0.0411255i
\(514\) 3.14525 0.842768i 0.138731 0.0371729i
\(515\) 45.7739 + 12.2651i 2.01704 + 0.540464i
\(516\) 45.2239i 1.99087i
\(517\) 0.207354 0.359147i 0.00911940 0.0157953i
\(518\) −4.50534 + 5.79203i −0.197953 + 0.254487i
\(519\) 9.25073i 0.406062i
\(520\) −102.004 62.2378i −4.47317 2.72931i
\(521\) 5.55782 3.20881i 0.243493 0.140581i −0.373288 0.927715i \(-0.621770\pi\)
0.616781 + 0.787135i \(0.288436\pi\)
\(522\) 14.7369 + 14.7369i 0.645016 + 0.645016i
\(523\) 27.3972 15.8178i 1.19799 0.691663i 0.237887 0.971293i \(-0.423545\pi\)
0.960108 + 0.279630i \(0.0902119\pi\)
\(524\) 9.98229 + 17.2898i 0.436078 + 0.755310i
\(525\) −7.46910 18.3736i −0.325978 0.801888i
\(526\) −17.0232 + 63.5316i −0.742248 + 2.77011i
\(527\) 0.731951 0.731951i 0.0318843 0.0318843i
\(528\) −1.68077 + 6.27272i −0.0731461 + 0.272985i
\(529\) 14.3329 24.8254i 0.623171 1.07936i
\(530\) −23.9457 41.4752i −1.04014 1.80157i
\(531\) 3.14180 0.841844i 0.136343 0.0365329i
\(532\) 18.8052 2.34978i 0.815310 0.101876i
\(533\) −2.45430 10.1367i −0.106307 0.439070i
\(534\) −14.2663 + 24.7099i −0.617361 + 1.06930i
\(535\) −4.72371 + 4.72371i −0.204224 + 0.204224i
\(536\) −59.5790 −2.57342
\(537\) 14.6054 0.630269
\(538\) 35.5814 35.5814i 1.53402 1.53402i
\(539\) 2.69962 1.51154i 0.116281 0.0651065i
\(540\) 18.5671 + 4.97505i 0.799003 + 0.214092i
\(541\) 4.90078 + 18.2900i 0.210701 + 0.786347i 0.987636 + 0.156766i \(0.0501068\pi\)
−0.776935 + 0.629581i \(0.783227\pi\)
\(542\) 2.32167 + 1.34041i 0.0997241 + 0.0575758i
\(543\) 8.63806i 0.370695i
\(544\) 7.89616 29.4689i 0.338545 1.26347i
\(545\) 26.0735 1.11686
\(546\) −23.7171 10.6923i −1.01500 0.457587i
\(547\) −13.7543 −0.588091 −0.294046 0.955791i \(-0.595002\pi\)
−0.294046 + 0.955791i \(0.595002\pi\)
\(548\) −11.0941 + 41.4038i −0.473917 + 1.76868i
\(549\) 13.0177i 0.555580i
\(550\) 7.82565 + 4.51814i 0.333687 + 0.192654i
\(551\) 2.60546 + 9.72373i 0.110997 + 0.414245i
\(552\) −65.0908 17.4410i −2.77045 0.742340i
\(553\) −5.75223 + 7.39503i −0.244610 + 0.314468i
\(554\) −34.8038 + 34.8038i −1.47867 + 1.47867i
\(555\) −3.59503 −0.152601
\(556\) 64.8112 2.74861
\(557\) −12.1953 + 12.1953i −0.516731 + 0.516731i −0.916581 0.399850i \(-0.869062\pi\)
0.399850 + 0.916581i \(0.369062\pi\)
\(558\) −0.986352 + 1.70841i −0.0417556 + 0.0723228i
\(559\) −26.3253 + 14.3593i −1.11344 + 0.607334i
\(560\) 109.568 82.9329i 4.63009 3.50456i
\(561\) 0.610962 0.163707i 0.0257948 0.00691170i
\(562\) −29.7339 51.5006i −1.25425 2.17242i
\(563\) 16.5277 28.6268i 0.696559 1.20648i −0.273093 0.961988i \(-0.588047\pi\)
0.969652 0.244488i \(-0.0786200\pi\)
\(564\) 1.32047 4.92806i 0.0556017 0.207509i
\(565\) −15.4669 + 15.4669i −0.650697 + 0.650697i
\(566\) −19.3912 + 72.3688i −0.815071 + 3.04189i
\(567\) 2.62078 + 0.362619i 0.110063 + 0.0152286i
\(568\) 8.83340 + 15.2999i 0.370641 + 0.641969i
\(569\) −28.5293 + 16.4714i −1.19601 + 0.690518i −0.959664 0.281151i \(-0.909284\pi\)
−0.236348 + 0.971669i \(0.575950\pi\)
\(570\) 8.98007 + 8.98007i 0.376134 + 0.376134i
\(571\) −6.40074 + 3.69547i −0.267862 + 0.154650i −0.627916 0.778281i \(-0.716092\pi\)
0.360053 + 0.932932i \(0.382758\pi\)
\(572\) 8.42225 2.03919i 0.352152 0.0852629i
\(573\) 7.04823i 0.294444i
\(574\) 20.6749 + 2.86064i 0.862955 + 0.119401i
\(575\) −26.9418 + 46.6645i −1.12355 + 1.94605i
\(576\) 28.7565i 1.19819i
\(577\) −37.8634 10.1455i −1.57627 0.422362i −0.638505 0.769618i \(-0.720447\pi\)
−0.937770 + 0.347257i \(0.887113\pi\)
\(578\) 39.3880 10.5540i 1.63832 0.438987i
\(579\) 16.3420 + 16.3420i 0.679152 + 0.679152i
\(580\) 103.870 + 103.870i 4.31297 + 4.31297i
\(581\) −6.96048 + 5.26845i −0.288769 + 0.218572i
\(582\) 6.14986 + 3.55062i 0.254920 + 0.147178i
\(583\) 2.12085 + 0.568280i 0.0878367 + 0.0235358i
\(584\) −59.6371 103.294i −2.46780 4.27435i
\(585\) −2.99933 12.3878i −0.124007 0.512173i
\(586\) 18.5401 + 10.7041i 0.765886 + 0.442184i
\(587\) −5.58839 20.8562i −0.230658 0.860826i −0.980058 0.198709i \(-0.936325\pi\)
0.749401 0.662117i \(-0.230342\pi\)
\(588\) 27.2672 26.5577i 1.12448 1.09522i
\(589\) −0.825203 + 0.476431i −0.0340019 + 0.0196310i
\(590\) 30.2893 8.11599i 1.24699 0.334130i
\(591\) −5.02954 18.7705i −0.206888 0.772116i
\(592\) −3.86723 14.4327i −0.158942 0.593180i
\(593\) −29.2070 + 7.82600i −1.19939 + 0.321375i −0.802591 0.596530i \(-0.796546\pi\)
−0.396799 + 0.917906i \(0.629879\pi\)
\(594\) −1.04392 + 0.602706i −0.0428324 + 0.0247293i
\(595\) −12.3314 5.20331i −0.505538 0.213315i
\(596\) −30.6413 114.355i −1.25512 4.68416i
\(597\) 15.4246 + 8.90538i 0.631285 + 0.364473i
\(598\) 16.6322 + 68.6942i 0.680142 + 2.80911i
\(599\) 9.06280 + 15.6972i 0.370296 + 0.641371i 0.989611 0.143771i \(-0.0459230\pi\)
−0.619315 + 0.785143i \(0.712590\pi\)
\(600\) 67.8848 + 18.1897i 2.77138 + 0.742590i
\(601\) 30.9648 + 17.8775i 1.26308 + 0.729240i 0.973669 0.227965i \(-0.0732073\pi\)
0.289411 + 0.957205i \(0.406541\pi\)
\(602\) −7.44064 59.5472i −0.303258 2.42696i
\(603\) −4.49370 4.49370i −0.182998 0.182998i
\(604\) −53.6800 53.6800i −2.18421 2.18421i
\(605\) 36.8933 9.88552i 1.49992 0.401904i
\(606\) 3.80846 + 1.02047i 0.154708 + 0.0414539i
\(607\) 3.81356i 0.154787i 0.997001 + 0.0773937i \(0.0246598\pi\)
−0.997001 + 0.0773937i \(0.975340\pi\)
\(608\) −14.0418 + 24.3211i −0.569470 + 0.986352i
\(609\) 15.9591 + 12.4138i 0.646695 + 0.503033i
\(610\) 125.500i 5.08133i
\(611\) −3.28795 + 0.796076i −0.133016 + 0.0322058i
\(612\) 6.73893 3.89072i 0.272405 0.157273i
\(613\) 2.91437 + 2.91437i 0.117710 + 0.117710i 0.763508 0.645798i \(-0.223475\pi\)
−0.645798 + 0.763508i \(0.723475\pi\)
\(614\) 53.8504 31.0905i 2.17323 1.25471i
\(615\) 5.11280 + 8.85563i 0.206168 + 0.357094i
\(616\) −1.50260 + 10.8598i −0.0605415 + 0.437556i
\(617\) 4.26184 15.9054i 0.171575 0.640327i −0.825535 0.564351i \(-0.809126\pi\)
0.997110 0.0759754i \(-0.0242070\pi\)
\(618\) −25.8513 + 25.8513i −1.03989 + 1.03989i
\(619\) 2.63282 9.82581i 0.105822 0.394933i −0.892615 0.450819i \(-0.851132\pi\)
0.998437 + 0.0558866i \(0.0177985\pi\)
\(620\) −6.95211 + 12.0414i −0.279203 + 0.483595i
\(621\) −3.59395 6.22490i −0.144220 0.249797i
\(622\) 14.5191 3.89037i 0.582161 0.155990i
\(623\) −10.7611 + 25.5030i −0.431135 + 1.02176i
\(624\) 46.5059 25.3669i 1.86173 1.01549i
\(625\) −3.14284 + 5.44356i −0.125714 + 0.217743i
\(626\) 37.4320 37.4320i 1.49608 1.49608i
\(627\) −0.582242 −0.0232525
\(628\) −81.4292 −3.24938
\(629\) −1.02907 + 1.02907i −0.0410318 + 0.0410318i
\(630\) 25.2663 + 3.49591i 1.00663 + 0.139281i
\(631\) −35.7618 9.58236i −1.42366 0.381468i −0.536877 0.843661i \(-0.680396\pi\)
−0.886779 + 0.462193i \(0.847063\pi\)
\(632\) −8.59222 32.0666i −0.341780 1.27554i
\(633\) −8.72690 5.03848i −0.346863 0.200262i
\(634\) 76.5747i 3.04117i
\(635\) 6.23563 23.2717i 0.247453 0.923509i
\(636\) 27.0120 1.07109
\(637\) −24.1173 7.44005i −0.955563 0.294786i
\(638\) −9.21169 −0.364694
\(639\) −0.487730 + 1.82023i −0.0192943 + 0.0720074i
\(640\) 126.506i 5.00060i
\(641\) −26.1041 15.0712i −1.03105 0.595278i −0.113766 0.993508i \(-0.536291\pi\)
−0.917286 + 0.398230i \(0.869625\pi\)
\(642\) −1.33388 4.97813i −0.0526442 0.196471i
\(643\) −36.7921 9.85840i −1.45094 0.388778i −0.554588 0.832125i \(-0.687124\pi\)
−0.896350 + 0.443348i \(0.853791\pi\)
\(644\) −102.433 14.1730i −4.03644 0.558494i
\(645\) 20.7892 20.7892i 0.818573 0.818573i
\(646\) 5.14107 0.202273
\(647\) −38.7803 −1.52461 −0.762305 0.647218i \(-0.775933\pi\)
−0.762305 + 0.647218i \(0.775933\pi\)
\(648\) −6.62917 + 6.62917i −0.260418 + 0.260418i
\(649\) −0.718826 + 1.24504i −0.0282164 + 0.0488722i
\(650\) −17.3461 71.6428i −0.680371 2.81006i
\(651\) −0.744012 + 1.76325i −0.0291601 + 0.0691071i
\(652\) 46.4600 12.4489i 1.81952 0.487538i
\(653\) 6.50852 + 11.2731i 0.254698 + 0.441150i 0.964813 0.262935i \(-0.0846906\pi\)
−0.710115 + 0.704085i \(0.751357\pi\)
\(654\) −10.0576 + 17.4202i −0.393282 + 0.681184i
\(655\) −3.35924 + 12.5368i −0.131256 + 0.489855i
\(656\) −30.0521 + 30.0521i −1.17334 + 1.17334i
\(657\) 3.29282 12.2890i 0.128465 0.479439i
\(658\) 0.927878 6.70612i 0.0361725 0.261432i
\(659\) 25.0015 + 43.3039i 0.973921 + 1.68688i 0.683451 + 0.729996i \(0.260478\pi\)
0.290470 + 0.956884i \(0.406188\pi\)
\(660\) −7.35784 + 4.24805i −0.286404 + 0.165355i
\(661\) −9.11369 9.11369i −0.354481 0.354481i 0.507292 0.861774i \(-0.330646\pi\)
−0.861774 + 0.507292i \(0.830646\pi\)
\(662\) 17.9333 10.3538i 0.696999 0.402413i
\(663\) −4.40455 2.68744i −0.171058 0.104371i
\(664\) 30.9326i 1.20042i
\(665\) 9.72484 + 7.56448i 0.377113 + 0.293338i
\(666\) 1.38674 2.40191i 0.0537353 0.0930722i
\(667\) 54.9295i 2.12688i
\(668\) −1.80168 0.482758i −0.0697090 0.0186785i
\(669\) 0.918774 0.246185i 0.0355218 0.00951805i
\(670\) −43.3226 43.3226i −1.67370 1.67370i
\(671\) −4.06852 4.06852i −0.157063 0.157063i
\(672\) 6.99362 + 55.9697i 0.269785 + 2.15908i
\(673\) 34.5128 + 19.9259i 1.33037 + 0.768089i 0.985356 0.170509i \(-0.0545413\pi\)
0.345013 + 0.938598i \(0.387875\pi\)
\(674\) −8.59270 2.30241i −0.330978 0.0886854i
\(675\) 3.74822 + 6.49210i 0.144269 + 0.249881i
\(676\) −59.4329 38.2710i −2.28588 1.47196i
\(677\) −3.61272 2.08580i −0.138848 0.0801640i 0.428967 0.903320i \(-0.358878\pi\)
−0.567815 + 0.823156i \(0.692211\pi\)
\(678\) −4.36755 16.2999i −0.167735 0.625995i
\(679\) 6.34725 + 2.67826i 0.243585 + 0.102782i
\(680\) 41.0723 23.7131i 1.57505 0.909357i
\(681\) 23.6911 6.34800i 0.907843 0.243256i
\(682\) −0.225671 0.842217i −0.00864141 0.0322502i
\(683\) 1.82696 + 6.81833i 0.0699069 + 0.260896i 0.992030 0.126000i \(-0.0402139\pi\)
−0.922123 + 0.386896i \(0.873547\pi\)
\(684\) −6.91890 + 1.85391i −0.264551 + 0.0708862i
\(685\) −24.1330 + 13.9332i −0.922075 + 0.532360i
\(686\) 31.5338 39.4553i 1.20396 1.50641i
\(687\) −5.33978 19.9283i −0.203725 0.760314i
\(688\) 105.824 + 61.0974i 4.03450 + 2.32932i
\(689\) −8.57673 15.7240i −0.326747 0.599036i
\(690\) −34.6483 60.0126i −1.31904 2.28464i
\(691\) −21.8060 5.84290i −0.829539 0.222274i −0.181026 0.983478i \(-0.557942\pi\)
−0.648512 + 0.761204i \(0.724609\pi\)
\(692\) −43.5627 25.1510i −1.65601 0.956096i
\(693\) −0.932428 + 0.705763i −0.0354200 + 0.0268097i
\(694\) −59.7165 59.7165i −2.26681 2.26681i
\(695\) 29.7934 + 29.7934i 1.13013 + 1.13013i
\(696\) −69.2025 + 18.5428i −2.62311 + 0.702861i
\(697\) 3.99845 + 1.07138i 0.151452 + 0.0405815i
\(698\) 33.0634i 1.25147i
\(699\) 11.3684 19.6906i 0.429992 0.744768i
\(700\) 106.830 + 14.7813i 4.03780 + 0.558682i
\(701\) 38.0674i 1.43779i 0.695120 + 0.718894i \(0.255351\pi\)
−0.695120 + 0.718894i \(0.744649\pi\)
\(702\) 9.43350 + 2.77455i 0.356044 + 0.104719i
\(703\) 1.16018 0.669830i 0.0437570 0.0252631i
\(704\) −8.98750 8.98750i −0.338729 0.338729i
\(705\) 2.87241 1.65839i 0.108181 0.0624585i
\(706\) 40.0960 + 69.4484i 1.50903 + 2.61372i
\(707\) 3.78896 + 0.524251i 0.142498 + 0.0197165i
\(708\) −4.57762 + 17.0839i −0.172038 + 0.642053i
\(709\) −1.28394 + 1.28394i −0.0482195 + 0.0482195i −0.730805 0.682586i \(-0.760855\pi\)
0.682586 + 0.730805i \(0.260855\pi\)
\(710\) −4.70208 + 17.5484i −0.176466 + 0.658579i
\(711\) 1.77054 3.06666i 0.0664004 0.115009i
\(712\) −49.0419 84.9430i −1.83792 3.18337i
\(713\) 5.02216 1.34568i 0.188081 0.0503963i
\(714\) 8.23314 6.23174i 0.308118 0.233217i
\(715\) 4.80907 + 2.93426i 0.179849 + 0.109735i
\(716\) −39.7092 + 68.7784i −1.48400 + 2.57037i
\(717\) −20.7640 + 20.7640i −0.775447 + 0.775447i
\(718\) −25.3918 −0.947612
\(719\) 27.5916 1.02899 0.514496 0.857493i \(-0.327979\pi\)
0.514496 + 0.857493i \(0.327979\pi\)
\(720\) −36.7258 + 36.7258i −1.36869 + 1.36869i
\(721\) −21.7762 + 27.9953i −0.810988 + 1.04260i
\(722\) 45.4800 + 12.1863i 1.69259 + 0.453528i
\(723\) −1.75524 6.55065i −0.0652781 0.243621i
\(724\) −40.6776 23.4852i −1.51177 0.872822i
\(725\) 57.2873i 2.12760i
\(726\) −7.62647 + 28.4624i −0.283045 + 1.05634i
\(727\) −1.57479 −0.0584058 −0.0292029 0.999574i \(-0.509297\pi\)
−0.0292029 + 0.999574i \(0.509297\pi\)
\(728\) 72.5966 52.2292i 2.69061 1.93574i
\(729\) −1.00000 −0.0370370
\(730\) 31.7452 118.475i 1.17494 4.38495i
\(731\) 11.9018i 0.440202i
\(732\) −61.3016 35.3925i −2.26577 1.30814i
\(733\) −10.0600 37.5443i −0.371574 1.38673i −0.858287 0.513170i \(-0.828471\pi\)
0.486713 0.873562i \(-0.338196\pi\)
\(734\) −66.4456 17.8040i −2.45255 0.657159i
\(735\) 24.7431 + 0.326147i 0.912661 + 0.0120301i
\(736\) 108.356 108.356i 3.99407 3.99407i
\(737\) 2.80891 0.103467
\(738\) −7.88884 −0.290392
\(739\) 30.9642 30.9642i 1.13904 1.13904i 0.150414 0.988623i \(-0.451939\pi\)
0.988623 0.150414i \(-0.0480607\pi\)
\(740\) 9.77420 16.9294i 0.359307 0.622337i
\(741\) 3.27605 + 3.43892i 0.120349 + 0.126332i
\(742\) 35.5672 4.44425i 1.30571 0.163154i
\(743\) 18.3147 4.90740i 0.671900 0.180035i 0.0932893 0.995639i \(-0.470262\pi\)
0.578610 + 0.815604i \(0.303595\pi\)
\(744\) −3.39070 5.87286i −0.124309 0.215310i
\(745\) 38.4827 66.6541i 1.40990 2.44202i
\(746\) −0.739970 + 2.76160i −0.0270922 + 0.101110i
\(747\) 2.33307 2.33307i 0.0853625 0.0853625i
\(748\) −0.890174 + 3.32217i −0.0325480 + 0.121471i
\(749\) −1.88286 4.63174i −0.0687984 0.169240i
\(750\) 12.0337 + 20.8430i 0.439409 + 0.761078i
\(751\) 9.94670 5.74273i 0.362960 0.209555i −0.307418 0.951574i \(-0.599465\pi\)
0.670378 + 0.742019i \(0.266132\pi\)
\(752\) 9.74769 + 9.74769i 0.355462 + 0.355462i
\(753\) 4.91118 2.83547i 0.178973 0.103330i
\(754\) 51.8305 + 54.4074i 1.88756 + 1.98140i
\(755\) 49.3529i 1.79613i
\(756\) −8.83302 + 11.3557i −0.321254 + 0.413002i
\(757\) 0.505532 0.875607i 0.0183739 0.0318245i −0.856692 0.515828i \(-0.827484\pi\)
0.875066 + 0.484003i \(0.160818\pi\)
\(758\) 43.1999i 1.56909i
\(759\) 3.06877 + 0.822274i 0.111389 + 0.0298467i
\(760\) −42.1693 + 11.2992i −1.52964 + 0.409866i
\(761\) 32.8804 + 32.8804i 1.19191 + 1.19191i 0.976530 + 0.215383i \(0.0691001\pi\)
0.215383 + 0.976530i \(0.430900\pi\)
\(762\) 13.1430 + 13.1430i 0.476119 + 0.476119i
\(763\) −7.58649 + 17.9793i −0.274649 + 0.650896i
\(764\) 33.1909 + 19.1628i 1.20080 + 0.693285i
\(765\) 4.88639 + 1.30931i 0.176668 + 0.0473380i
\(766\) −35.4216 61.3520i −1.27983 2.21674i
\(767\) 11.3982 2.75973i 0.411565 0.0996481i
\(768\) −34.7137 20.0419i −1.25262 0.723202i
\(769\) −10.0112 37.3624i −0.361014 1.34732i −0.872745 0.488177i \(-0.837662\pi\)
0.511730 0.859146i \(-0.329005\pi\)
\(770\) −8.98929 + 6.80407i −0.323951 + 0.245202i
\(771\) −1.03401 + 0.596987i −0.0372390 + 0.0215000i
\(772\) −121.387 + 32.5256i −4.36882 + 1.17062i
\(773\) 7.72212 + 28.8193i 0.277745 + 1.03656i 0.953979 + 0.299872i \(0.0969441\pi\)
−0.676234 + 0.736687i \(0.736389\pi\)
\(774\) 5.87046