Properties

Label 162.3.h.a.5.1
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(-2.76034 + 1.17495i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(6.70564 - 4.99216i) q^{5} +(2.51710 + 3.41529i) q^{6} +(-6.54938 + 4.30759i) q^{7} +(1.81808 + 2.16670i) q^{8} +(6.23898 - 6.48654i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(-2.76034 + 1.17495i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(6.70564 - 4.99216i) q^{5} +(2.51710 + 3.41529i) q^{6} +(-6.54938 + 4.30759i) q^{7} +(1.81808 + 2.16670i) q^{8} +(6.23898 - 6.48654i) q^{9} +(-9.05666 - 7.59944i) q^{10} +(1.11003 - 9.49695i) q^{11} +(3.87883 - 4.57763i) q^{12} +(-3.43304 - 11.4672i) q^{13} +(8.06367 + 7.60768i) q^{14} +(-12.6443 + 21.6589i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-30.1511 - 5.31646i) q^{17} +(-10.9609 - 6.46989i) q^{18} +(-3.87577 - 21.9806i) q^{19} +(-7.50380 + 14.9413i) q^{20} +(13.0173 - 19.5856i) q^{21} +(-13.4307 + 1.56982i) q^{22} +(-7.48973 + 11.3876i) q^{23} +(-7.56429 - 3.84468i) q^{24} +(12.8738 - 43.0016i) q^{25} +(-14.6602 + 8.46408i) q^{26} +(-9.60034 + 25.2356i) q^{27} +(7.83899 - 13.5775i) q^{28} +(34.7101 - 32.7473i) q^{29} +(33.9285 + 10.3359i) q^{30} +(0.00401315 - 0.0689031i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(8.09438 + 27.5191i) q^{33} +(2.51755 + 43.2247i) q^{34} +(-22.4136 + 61.5807i) q^{35} +(-5.32840 + 17.1933i) q^{36} +(11.4534 - 4.16868i) q^{37} +(-28.9833 + 12.5022i) q^{38} +(22.9497 + 27.6196i) q^{39} +(23.0079 + 5.45297i) q^{40} +(-11.2551 + 47.4889i) q^{41} +(-31.1971 - 11.5254i) q^{42} +(-4.56438 - 10.5814i) q^{43} +(6.54052 + 17.9699i) q^{44} +(9.45447 - 74.6424i) q^{45} +(18.1131 + 6.59262i) q^{46} +(74.7457 - 4.35344i) q^{47} +(-2.82362 + 11.6631i) q^{48} +(4.93108 - 11.4315i) q^{49} +(-63.3728 - 3.69105i) q^{50} +(89.4740 - 20.7509i) q^{51} +(16.4286 + 17.4133i) q^{52} +(53.5980 + 30.9448i) q^{53} +(37.8575 + 4.98064i) q^{54} +(-39.9668 - 69.2246i) q^{55} +(-21.2405 - 6.35900i) q^{56} +(36.5245 + 56.1200i) q^{57} +(-56.3837 - 37.0842i) q^{58} +(-10.1385 - 86.7407i) q^{59} +(3.15775 - 50.0597i) q^{60} +(-15.4943 - 7.78153i) q^{61} +(-0.0961259 + 0.0169496i) q^{62} +(-12.9200 + 69.3578i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-80.2666 - 59.7563i) q^{65} +(35.2289 - 20.1137i) q^{66} +(3.58196 - 3.79665i) q^{67} +(58.6601 - 17.5617i) q^{68} +(7.29435 - 40.2337i) q^{69} +(92.0508 + 10.7592i) q^{70} +(-40.7256 + 48.5349i) q^{71} +(25.3973 + 1.72496i) q^{72} +(-62.8745 + 52.7580i) q^{73} +(-9.47190 - 14.4013i) q^{74} +(14.9886 + 133.825i) q^{75} +(26.6567 + 35.8062i) q^{76} +(33.6390 + 66.9807i) q^{77} +(30.5223 - 40.5888i) q^{78} +(8.14262 - 1.92984i) q^{79} -33.4395i q^{80} +(-3.15034 - 80.9387i) q^{81} +69.0198 q^{82} +(2.74823 + 11.5957i) q^{83} +(-5.68535 + 46.6890i) q^{84} +(-228.723 + 114.869i) q^{85} +(-13.0724 + 9.73203i) q^{86} +(-57.3353 + 131.177i) q^{87} +(22.5952 - 14.8611i) q^{88} +(67.5309 + 80.4802i) q^{89} +(-105.798 + 11.3336i) q^{90} +(71.8801 + 60.3146i) q^{91} +(3.16466 - 27.0754i) q^{92} +(0.0698802 + 0.194911i) q^{93} +(-30.3683 - 101.437i) q^{94} +(-135.720 - 128.045i) q^{95} +(16.9704 + 0.0817753i) q^{96} +(103.310 - 138.769i) q^{97} +(-17.3391 - 3.05735i) q^{98} +(-54.6768 - 66.4515i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) −2.76034 + 1.17495i −0.920114 + 0.391651i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) 6.70564 4.99216i 1.34113 0.998433i 0.342873 0.939382i \(-0.388600\pi\)
0.998255 0.0590511i \(-0.0188075\pi\)
\(6\) 2.51710 + 3.41529i 0.419517 + 0.569215i
\(7\) −6.54938 + 4.30759i −0.935625 + 0.615371i −0.923104 0.384551i \(-0.874356\pi\)
−0.0125217 + 0.999922i \(0.503986\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) 6.23898 6.48654i 0.693220 0.720726i
\(10\) −9.05666 7.59944i −0.905666 0.759944i
\(11\) 1.11003 9.49695i 0.100912 0.863359i −0.844069 0.536234i \(-0.819846\pi\)
0.944981 0.327124i \(-0.106080\pi\)
\(12\) 3.87883 4.57763i 0.323236 0.381469i
\(13\) −3.43304 11.4672i −0.264080 0.882088i −0.982466 0.186444i \(-0.940304\pi\)
0.718386 0.695645i \(-0.244881\pi\)
\(14\) 8.06367 + 7.60768i 0.575976 + 0.543405i
\(15\) −12.6443 + 21.6589i −0.842954 + 1.44393i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −30.1511 5.31646i −1.77360 0.312733i −0.811278 0.584660i \(-0.801228\pi\)
−0.962318 + 0.271927i \(0.912339\pi\)
\(18\) −10.9609 6.46989i −0.608937 0.359439i
\(19\) −3.87577 21.9806i −0.203988 1.15687i −0.899025 0.437898i \(-0.855723\pi\)
0.695037 0.718974i \(-0.255388\pi\)
\(20\) −7.50380 + 14.9413i −0.375190 + 0.747065i
\(21\) 13.0173 19.5856i 0.619872 0.932649i
\(22\) −13.4307 + 1.56982i −0.610487 + 0.0713557i
\(23\) −7.48973 + 11.3876i −0.325640 + 0.495112i −0.960790 0.277277i \(-0.910568\pi\)
0.635150 + 0.772389i \(0.280938\pi\)
\(24\) −7.56429 3.84468i −0.315179 0.160195i
\(25\) 12.8738 43.0016i 0.514953 1.72006i
\(26\) −14.6602 + 8.46408i −0.563854 + 0.325542i
\(27\) −9.60034 + 25.2356i −0.355568 + 0.934650i
\(28\) 7.83899 13.5775i 0.279964 0.484912i
\(29\) 34.7101 32.7473i 1.19690 1.12922i 0.208394 0.978045i \(-0.433176\pi\)
0.988507 0.151173i \(-0.0483050\pi\)
\(30\) 33.9285 + 10.3359i 1.13095 + 0.344531i
\(31\) 0.00401315 0.0689031i 0.000129456 0.00222268i −0.998243 0.0592561i \(-0.981127\pi\)
0.998372 + 0.0570335i \(0.0181642\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) 8.09438 + 27.5191i 0.245284 + 0.833911i
\(34\) 2.51755 + 43.2247i 0.0740456 + 1.27131i
\(35\) −22.4136 + 61.5807i −0.640387 + 1.75945i
\(36\) −5.32840 + 17.1933i −0.148011 + 0.477591i
\(37\) 11.4534 4.16868i 0.309550 0.112667i −0.182574 0.983192i \(-0.558443\pi\)
0.492124 + 0.870525i \(0.336221\pi\)
\(38\) −28.9833 + 12.5022i −0.762717 + 0.329004i
\(39\) 22.9497 + 27.6196i 0.588454 + 0.708195i
\(40\) 23.0079 + 5.45297i 0.575198 + 0.136324i
\(41\) −11.2551 + 47.4889i −0.274514 + 1.15827i 0.644678 + 0.764454i \(0.276992\pi\)
−0.919192 + 0.393811i \(0.871157\pi\)
\(42\) −31.1971 11.5254i −0.742789 0.274414i
\(43\) −4.56438 10.5814i −0.106148 0.246079i 0.856861 0.515547i \(-0.172411\pi\)
−0.963009 + 0.269468i \(0.913152\pi\)
\(44\) 6.54052 + 17.9699i 0.148648 + 0.408407i
\(45\) 9.45447 74.6424i 0.210099 1.65872i
\(46\) 18.1131 + 6.59262i 0.393762 + 0.143318i
\(47\) 74.7457 4.35344i 1.59033 0.0926264i 0.760011 0.649910i \(-0.225193\pi\)
0.830322 + 0.557283i \(0.188156\pi\)
\(48\) −2.82362 + 11.6631i −0.0588255 + 0.242981i
\(49\) 4.93108 11.4315i 0.100634 0.233297i
\(50\) −63.3728 3.69105i −1.26746 0.0738210i
\(51\) 89.4740 20.7509i 1.75439 0.406880i
\(52\) 16.4286 + 17.4133i 0.315936 + 0.334872i
\(53\) 53.5980 + 30.9448i 1.01128 + 0.583865i 0.911567 0.411151i \(-0.134873\pi\)
0.0997159 + 0.995016i \(0.468207\pi\)
\(54\) 37.8575 + 4.98064i 0.701066 + 0.0922340i
\(55\) −39.9668 69.2246i −0.726670 1.25863i
\(56\) −21.2405 6.35900i −0.379295 0.113554i
\(57\) 36.5245 + 56.1200i 0.640781 + 0.984562i
\(58\) −56.3837 37.0842i −0.972133 0.639382i
\(59\) −10.1385 86.7407i −0.171840 1.47018i −0.753875 0.657018i \(-0.771817\pi\)
0.582035 0.813164i \(-0.302257\pi\)
\(60\) 3.15775 50.0597i 0.0526292 0.834328i
\(61\) −15.4943 7.78153i −0.254005 0.127566i 0.317241 0.948345i \(-0.397244\pi\)
−0.571246 + 0.820779i \(0.693540\pi\)
\(62\) −0.0961259 + 0.0169496i −0.00155042 + 0.000273381i
\(63\) −12.9200 + 69.3578i −0.205080 + 1.10092i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −80.2666 59.7563i −1.23487 0.919327i
\(66\) 35.2289 20.1137i 0.533771 0.304753i
\(67\) 3.58196 3.79665i 0.0534621 0.0566665i −0.700091 0.714054i \(-0.746857\pi\)
0.753553 + 0.657388i \(0.228339\pi\)
\(68\) 58.6601 17.5617i 0.862649 0.258260i
\(69\) 7.29435 40.2337i 0.105715 0.583097i
\(70\) 92.0508 + 10.7592i 1.31501 + 0.153703i
\(71\) −40.7256 + 48.5349i −0.573600 + 0.683590i −0.972366 0.233463i \(-0.924994\pi\)
0.398765 + 0.917053i \(0.369439\pi\)
\(72\) 25.3973 + 1.72496i 0.352741 + 0.0239578i
\(73\) −62.8745 + 52.7580i −0.861295 + 0.722712i −0.962247 0.272179i \(-0.912256\pi\)
0.100952 + 0.994891i \(0.467811\pi\)
\(74\) −9.47190 14.4013i −0.127999 0.194612i
\(75\) 14.9886 + 133.825i 0.199848 + 1.78434i
\(76\) 26.6567 + 35.8062i 0.350747 + 0.471134i
\(77\) 33.6390 + 66.9807i 0.436870 + 0.869879i
\(78\) 30.5223 40.5888i 0.391312 0.520369i
\(79\) 8.14262 1.92984i 0.103071 0.0244283i −0.178757 0.983893i \(-0.557207\pi\)
0.281828 + 0.959465i \(0.409059\pi\)
\(80\) 33.4395i 0.417993i
\(81\) −3.15034 80.9387i −0.0388931 0.999243i
\(82\) 69.0198 0.841705
\(83\) 2.74823 + 11.5957i 0.0331112 + 0.139707i 0.987090 0.160167i \(-0.0512033\pi\)
−0.953979 + 0.299874i \(0.903055\pi\)
\(84\) −5.68535 + 46.6890i −0.0676827 + 0.555822i
\(85\) −228.723 + 114.869i −2.69086 + 1.35140i
\(86\) −13.0724 + 9.73203i −0.152005 + 0.113163i
\(87\) −57.3353 + 131.177i −0.659027 + 1.50778i
\(88\) 22.5952 14.8611i 0.256763 0.168876i
\(89\) 67.5309 + 80.4802i 0.758774 + 0.904271i 0.997770 0.0667491i \(-0.0212627\pi\)
−0.238996 + 0.971021i \(0.576818\pi\)
\(90\) −105.798 + 11.3336i −1.17554 + 0.125929i
\(91\) 71.8801 + 60.3146i 0.789891 + 0.662797i
\(92\) 3.16466 27.0754i 0.0343985 0.294298i
\(93\) 0.0698802 + 0.194911i 0.000751400 + 0.00209582i
\(94\) −30.3683 101.437i −0.323067 1.07912i
\(95\) −135.720 128.045i −1.42863 1.34785i
\(96\) 16.9704 + 0.0817753i 0.176775 + 0.000851826i
\(97\) 103.310 138.769i 1.06505 1.43061i 0.169565 0.985519i \(-0.445764\pi\)
0.895485 0.445091i \(-0.146829\pi\)
\(98\) −17.3391 3.05735i −0.176929 0.0311974i
\(99\) −54.6768 66.4515i −0.552291 0.671227i
\(100\) 15.5892 + 88.4107i 0.155892 + 0.884107i
\(101\) −39.7655 + 79.1796i −0.393718 + 0.783957i −0.999936 0.0113420i \(-0.996390\pi\)
0.606218 + 0.795299i \(0.292686\pi\)
\(102\) −57.7362 116.357i −0.566041 1.14075i
\(103\) 5.68702 0.664718i 0.0552138 0.00645357i −0.0884412 0.996081i \(-0.528189\pi\)
0.143655 + 0.989628i \(0.454114\pi\)
\(104\) 18.6044 28.2865i 0.178888 0.271986i
\(105\) −10.4853 196.319i −0.0998602 1.86970i
\(106\) 25.1025 83.8482i 0.236816 0.791021i
\(107\) 1.28164 0.739955i 0.0119779 0.00691547i −0.493999 0.869462i \(-0.664465\pi\)
0.505977 + 0.862547i \(0.331132\pi\)
\(108\) −5.49304 53.7199i −0.0508615 0.497406i
\(109\) −6.52482 + 11.3013i −0.0598607 + 0.103682i −0.894403 0.447262i \(-0.852399\pi\)
0.834542 + 0.550944i \(0.185732\pi\)
\(110\) −82.2247 + 77.5750i −0.747497 + 0.705227i
\(111\) −26.7172 + 24.9641i −0.240695 + 0.224902i
\(112\) −1.82319 + 31.3029i −0.0162784 + 0.279490i
\(113\) −107.539 46.3876i −0.951668 0.410510i −0.137087 0.990559i \(-0.543774\pi\)
−0.814581 + 0.580049i \(0.803033\pi\)
\(114\) 65.3143 68.5642i 0.572932 0.601440i
\(115\) 6.62524 + 113.751i 0.0576108 + 0.989139i
\(116\) −32.6423 + 89.6839i −0.281399 + 0.773137i
\(117\) −95.8008 49.2747i −0.818810 0.421152i
\(118\) −116.057 + 42.2412i −0.983532 + 0.357976i
\(119\) 220.372 95.0593i 1.85187 0.798818i
\(120\) −69.9167 + 11.9811i −0.582639 + 0.0998425i
\(121\) 28.7786 + 6.82066i 0.237840 + 0.0563691i
\(122\) −5.65480 + 23.8595i −0.0463508 + 0.195569i
\(123\) −24.7293 144.310i −0.201051 1.17325i
\(124\) 0.0546748 + 0.126750i 0.000440925 + 0.00102218i
\(125\) −56.8626 156.229i −0.454901 1.24983i
\(126\) 99.6565 4.84116i 0.790925 0.0384219i
\(127\) 19.6558 + 7.15414i 0.154770 + 0.0563318i 0.418244 0.908335i \(-0.362646\pi\)
−0.263473 + 0.964667i \(0.584868\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) 25.0319 + 23.8454i 0.194046 + 0.184848i
\(130\) −56.0521 + 129.943i −0.431170 + 0.999564i
\(131\) 94.8550 + 5.52468i 0.724084 + 0.0421731i 0.416229 0.909260i \(-0.363352\pi\)
0.307856 + 0.951433i \(0.400389\pi\)
\(132\) −39.1679 41.9184i −0.296726 0.317563i
\(133\) 120.067 + 127.264i 0.902761 + 0.956871i
\(134\) −6.39277 3.69087i −0.0477072 0.0275438i
\(135\) 61.6036 + 217.147i 0.456323 + 1.60850i
\(136\) −43.2979 74.9942i −0.318367 0.551428i
\(137\) 198.173 + 59.3292i 1.44652 + 0.433060i 0.911332 0.411673i \(-0.135055\pi\)
0.535188 + 0.844733i \(0.320241\pi\)
\(138\) −57.7443 + 3.08410i −0.418437 + 0.0223486i
\(139\) −43.2589 28.4518i −0.311215 0.204689i 0.384287 0.923214i \(-0.374447\pi\)
−0.695502 + 0.718525i \(0.744818\pi\)
\(140\) −15.2158 130.180i −0.108684 0.929854i
\(141\) −201.209 + 99.8396i −1.42701 + 0.708082i
\(142\) 80.0708 + 40.2131i 0.563879 + 0.283191i
\(143\) −112.714 + 19.8745i −0.788208 + 0.138982i
\(144\) −5.90938 35.5117i −0.0410373 0.246609i
\(145\) 69.2737 392.870i 0.477749 2.70945i
\(146\) 93.1058 + 69.3147i 0.637711 + 0.474758i
\(147\) −0.179973 + 37.3487i −0.00122430 + 0.254073i
\(148\) −16.7284 + 17.7311i −0.113030 + 0.119804i
\(149\) 147.639 44.2003i 0.990867 0.296646i 0.249962 0.968256i \(-0.419582\pi\)
0.740905 + 0.671610i \(0.234397\pi\)
\(150\) 179.268 64.2715i 1.19512 0.428477i
\(151\) −115.835 13.5392i −0.767118 0.0896633i −0.276472 0.961022i \(-0.589165\pi\)
−0.490646 + 0.871359i \(0.663239\pi\)
\(152\) 40.5789 48.3600i 0.266966 0.318158i
\(153\) −222.598 + 162.407i −1.45489 + 1.06148i
\(154\) 81.2006 68.1354i 0.527277 0.442438i
\(155\) −0.317065 0.482074i −0.00204558 0.00311015i
\(156\) −65.8085 28.7639i −0.421850 0.184384i
\(157\) 96.2883 + 129.338i 0.613302 + 0.823807i 0.994936 0.100506i \(-0.0320462\pi\)
−0.381635 + 0.924313i \(0.624639\pi\)
\(158\) −5.31127 10.5756i −0.0336156 0.0669342i
\(159\) −184.307 22.4432i −1.15917 0.141152i
\(160\) −46.0158 + 10.9059i −0.287599 + 0.0681622i
\(161\) 106.844i 0.663629i
\(162\) −110.352 + 30.7325i −0.681184 + 0.189707i
\(163\) −254.850 −1.56350 −0.781749 0.623593i \(-0.785672\pi\)
−0.781749 + 0.623593i \(0.785672\pi\)
\(164\) −22.5101 94.9777i −0.137257 0.579133i
\(165\) 191.658 + 144.124i 1.16156 + 0.873481i
\(166\) 15.0605 7.56365i 0.0907257 0.0455641i
\(167\) 63.4318 47.2233i 0.379831 0.282774i −0.390264 0.920703i \(-0.627616\pi\)
0.770095 + 0.637929i \(0.220209\pi\)
\(168\) 66.1027 7.40360i 0.393468 0.0440690i
\(169\) 21.4877 14.1327i 0.127146 0.0836252i
\(170\) 232.666 + 277.281i 1.36863 + 1.63107i
\(171\) −166.759 111.996i −0.975196 0.654947i
\(172\) 17.6556 + 14.8148i 0.102649 + 0.0861327i
\(173\) 10.9720 93.8718i 0.0634222 0.542611i −0.923755 0.382984i \(-0.874897\pi\)
0.987177 0.159628i \(-0.0510294\pi\)
\(174\) 199.210 + 36.1168i 1.14489 + 0.207568i
\(175\) 100.918 + 337.089i 0.576673 + 1.92622i
\(176\) −27.8194 26.2463i −0.158065 0.149127i
\(177\) 129.902 + 227.522i 0.733910 + 1.28543i
\(178\) 88.7237 119.177i 0.498448 0.669531i
\(179\) 198.214 + 34.9505i 1.10734 + 0.195254i 0.697276 0.716803i \(-0.254395\pi\)
0.410064 + 0.912057i \(0.365506\pi\)
\(180\) 50.1012 + 141.892i 0.278340 + 0.788289i
\(181\) −44.7934 254.036i −0.247477 1.40351i −0.814668 0.579928i \(-0.803081\pi\)
0.567191 0.823587i \(-0.308030\pi\)
\(182\) 59.5555 118.585i 0.327228 0.651564i
\(183\) 51.9125 + 3.27463i 0.283675 + 0.0178941i
\(184\) −38.2904 + 4.47550i −0.208100 + 0.0243234i
\(185\) 55.9914 85.1307i 0.302656 0.460166i
\(186\) 0.245426 0.159730i 0.00131949 0.000858764i
\(187\) −83.9589 + 280.442i −0.448978 + 1.49969i
\(188\) −129.683 + 74.8724i −0.689802 + 0.398257i
\(189\) −45.8283 206.632i −0.242478 1.09329i
\(190\) −131.939 + 228.524i −0.694413 + 1.20276i
\(191\) 246.119 232.201i 1.28858 1.21571i 0.325797 0.945440i \(-0.394367\pi\)
0.962784 0.270273i \(-0.0871141\pi\)
\(192\) −5.42219 23.3795i −0.0282406 0.121768i
\(193\) −0.932814 + 16.0158i −0.00483323 + 0.0829834i −0.999862 0.0166029i \(-0.994715\pi\)
0.995029 + 0.0995863i \(0.0317519\pi\)
\(194\) −224.653 96.9058i −1.15800 0.499514i
\(195\) 291.774 + 70.6384i 1.49628 + 0.362248i
\(196\) 1.44777 + 24.8573i 0.00738660 + 0.126823i
\(197\) −17.9308 + 49.2645i −0.0910193 + 0.250074i −0.976846 0.213942i \(-0.931370\pi\)
0.885827 + 0.464016i \(0.153592\pi\)
\(198\) −73.6112 + 96.9129i −0.371774 + 0.489459i
\(199\) −32.5752 + 11.8564i −0.163695 + 0.0595800i −0.422568 0.906331i \(-0.638871\pi\)
0.258873 + 0.965911i \(0.416649\pi\)
\(200\) 116.577 50.2865i 0.582886 0.251432i
\(201\) −5.42654 + 14.6887i −0.0269977 + 0.0730781i
\(202\) 121.928 + 28.8974i 0.603602 + 0.143056i
\(203\) −86.2676 + 363.992i −0.424964 + 1.79306i
\(204\) −141.288 + 117.399i −0.692588 + 0.575486i
\(205\) 161.600 + 374.630i 0.788292 + 1.82747i
\(206\) −2.76948 7.60908i −0.0134441 0.0369373i
\(207\) 27.1377 + 119.629i 0.131100 + 0.577919i
\(208\) −44.9925 16.3759i −0.216310 0.0787305i
\(209\) −213.050 + 12.4088i −1.01938 + 0.0593721i
\(210\) −266.733 + 78.4562i −1.27016 + 0.373601i
\(211\) 90.0668 208.798i 0.426857 0.989565i −0.560077 0.828440i \(-0.689229\pi\)
0.986934 0.161125i \(-0.0515122\pi\)
\(212\) −123.570 7.19712i −0.582877 0.0339487i
\(213\) 55.3905 181.824i 0.260049 0.853632i
\(214\) −1.43624 1.52233i −0.00671141 0.00711367i
\(215\) −83.4312 48.1690i −0.388052 0.224042i
\(216\) −72.1321 + 25.0791i −0.333945 + 0.116107i
\(217\) 0.270523 + 0.468560i 0.00124665 + 0.00215926i
\(218\) 17.6797 + 5.29295i 0.0810994 + 0.0242796i
\(219\) 111.567 219.505i 0.509439 1.00230i
\(220\) 133.567 + 87.8485i 0.607124 + 0.399311i
\(221\) 42.5454 + 363.999i 0.192513 + 1.64706i
\(222\) 43.0665 + 28.6235i 0.193993 + 0.128935i
\(223\) −248.498 124.800i −1.11434 0.559643i −0.206285 0.978492i \(-0.566138\pi\)
−0.908056 + 0.418849i \(0.862434\pi\)
\(224\) 43.6703 7.70026i 0.194957 0.0343761i
\(225\) −198.612 351.792i −0.882719 1.56352i
\(226\) −28.7610 + 163.112i −0.127261 + 0.721734i
\(227\) 158.865 + 118.270i 0.699845 + 0.521015i 0.887262 0.461265i \(-0.152604\pi\)
−0.187418 + 0.982280i \(0.560012\pi\)
\(228\) −115.652 67.5170i −0.507247 0.296127i
\(229\) −85.3156 + 90.4292i −0.372557 + 0.394887i −0.886342 0.463032i \(-0.846762\pi\)
0.513785 + 0.857919i \(0.328243\pi\)
\(230\) 154.371 46.2157i 0.671179 0.200938i
\(231\) −171.554 145.365i −0.742658 0.629287i
\(232\) 134.059 + 15.6693i 0.577842 + 0.0675401i
\(233\) 72.9585 86.9485i 0.313127 0.373170i −0.586411 0.810014i \(-0.699459\pi\)
0.899537 + 0.436844i \(0.143904\pi\)
\(234\) −36.5622 + 147.901i −0.156249 + 0.632057i
\(235\) 479.485 402.335i 2.04036 1.71207i
\(236\) 95.9786 + 145.928i 0.406689 + 0.618341i
\(237\) −20.2089 + 14.8942i −0.0852698 + 0.0628447i
\(238\) −202.683 272.250i −0.851608 1.14391i
\(239\) 120.186 + 239.310i 0.502871 + 1.00130i 0.991658 + 0.128896i \(0.0411432\pi\)
−0.488787 + 0.872403i \(0.662560\pi\)
\(240\) 39.2897 + 92.3043i 0.163707 + 0.384601i
\(241\) −98.8702 + 23.4327i −0.410250 + 0.0972310i −0.430558 0.902563i \(-0.641683\pi\)
0.0203085 + 0.999794i \(0.493535\pi\)
\(242\) 41.8265i 0.172837i
\(243\) 103.795 + 219.717i 0.427140 + 0.904185i
\(244\) 34.6771 0.142119
\(245\) −24.0020 101.273i −0.0979675 0.413357i
\(246\) −190.518 + 81.0950i −0.774465 + 0.329654i
\(247\) −238.749 + 119.904i −0.966594 + 0.485442i
\(248\) 0.156589 0.116576i 0.000631406 0.000470064i
\(249\) −21.2105 28.7791i −0.0851825 0.115579i
\(250\) −196.440 + 129.201i −0.785761 + 0.516803i
\(251\) −102.525 122.185i −0.408467 0.486792i 0.522115 0.852875i \(-0.325143\pi\)
−0.930582 + 0.366083i \(0.880699\pi\)
\(252\) −39.1639 135.558i −0.155412 0.537928i
\(253\) 99.8334 + 83.7701i 0.394598 + 0.331107i
\(254\) 3.43421 29.3815i 0.0135205 0.115675i
\(255\) 496.389 585.817i 1.94662 2.29732i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) −332.555 313.750i −1.29399 1.22082i −0.960571 0.278036i \(-0.910316\pi\)
−0.333418 0.942779i \(-0.608202\pi\)
\(258\) 24.6496 42.2232i 0.0955411 0.163656i
\(259\) −57.0554 + 76.6387i −0.220291 + 0.295902i
\(260\) 197.095 + 34.7531i 0.758057 + 0.133666i
\(261\) 4.13897 429.458i 0.0158581 1.64543i
\(262\) −23.3336 132.331i −0.0890594 0.505081i
\(263\) −90.7906 + 180.779i −0.345212 + 0.687373i −0.997505 0.0705937i \(-0.977511\pi\)
0.652294 + 0.757966i \(0.273807\pi\)
\(264\) −44.9094 + 67.5699i −0.170111 + 0.255947i
\(265\) 513.890 60.0652i 1.93921 0.226661i
\(266\) 135.968 206.730i 0.511158 0.777179i
\(267\) −280.969 142.807i −1.05232 0.534859i
\(268\) −2.99404 + 10.0008i −0.0111718 + 0.0373164i
\(269\) −292.285 + 168.751i −1.08656 + 0.627327i −0.932659 0.360758i \(-0.882518\pi\)
−0.153904 + 0.988086i \(0.549185\pi\)
\(270\) 278.723 155.593i 1.03231 0.576269i
\(271\) 32.2172 55.8018i 0.118883 0.205911i −0.800443 0.599410i \(-0.795402\pi\)
0.919325 + 0.393499i \(0.128735\pi\)
\(272\) −89.0779 + 84.0406i −0.327492 + 0.308973i
\(273\) −269.280 82.0332i −0.986375 0.300488i
\(274\) 17.0102 292.054i 0.0620812 1.06589i
\(275\) −394.093 169.995i −1.43307 0.618165i
\(276\) 23.0767 + 78.4556i 0.0836113 + 0.284260i
\(277\) −7.13425 122.490i −0.0257554 0.442204i −0.986394 0.164401i \(-0.947431\pi\)
0.960638 0.277803i \(-0.0896061\pi\)
\(278\) −25.0439 + 68.8075i −0.0900860 + 0.247509i
\(279\) −0.421905 0.455916i −0.00151220 0.00163411i
\(280\) −174.177 + 63.3951i −0.622059 + 0.226411i
\(281\) −144.513 + 62.3369i −0.514281 + 0.221839i −0.637372 0.770556i \(-0.719979\pi\)
0.123091 + 0.992395i \(0.460719\pi\)
\(282\) 203.011 + 244.320i 0.719896 + 0.866383i
\(283\) 51.9626 + 12.3154i 0.183613 + 0.0435172i 0.321394 0.946946i \(-0.395849\pi\)
−0.137780 + 0.990463i \(0.543997\pi\)
\(284\) 29.2226 123.300i 0.102897 0.434155i
\(285\) 525.081 + 193.984i 1.84239 + 0.680646i
\(286\) 64.1096 + 148.623i 0.224159 + 0.519660i
\(287\) −130.849 359.505i −0.455920 1.25263i
\(288\) −46.9401 + 19.7136i −0.162986 + 0.0684501i
\(289\) 609.255 + 221.751i 2.10815 + 0.767303i
\(290\) −563.219 + 32.8038i −1.94214 + 0.113117i
\(291\) −122.123 + 504.435i −0.419668 + 1.73345i
\(292\) 65.0180 150.729i 0.222664 0.516194i
\(293\) −91.7963 5.34652i −0.313298 0.0182475i −0.0992244 0.995065i \(-0.531636\pi\)
−0.214073 + 0.976818i \(0.568673\pi\)
\(294\) 51.4540 11.9333i 0.175014 0.0405893i
\(295\) −501.009 531.039i −1.69834 1.80013i
\(296\) 29.8554 + 17.2370i 0.100863 + 0.0582332i
\(297\) 229.004 + 119.186i 0.771057 + 0.401300i
\(298\) −108.975 188.750i −0.365687 0.633388i
\(299\) 156.296 + 46.7918i 0.522728 + 0.156494i
\(300\) −146.910 225.727i −0.489700 0.752424i
\(301\) 75.4743 + 49.6402i 0.250745 + 0.164918i
\(302\) 19.1473 + 163.815i 0.0634015 + 0.542434i
\(303\) 16.7341 265.285i 0.0552282 0.875529i
\(304\) −79.7823 40.0682i −0.262442 0.131803i
\(305\) −142.746 + 25.1699i −0.468019 + 0.0825244i
\(306\) 296.085 + 253.348i 0.967600 + 0.827933i
\(307\) −57.7269 + 327.385i −0.188035 + 1.06640i 0.733957 + 0.679195i \(0.237671\pi\)
−0.921993 + 0.387207i \(0.873440\pi\)
\(308\) −120.243 89.5180i −0.390401 0.290643i
\(309\) −14.9171 + 8.51683i −0.0482755 + 0.0275625i
\(310\) −0.559971 + 0.593534i −0.00180636 + 0.00191463i
\(311\) −94.1073 + 28.1739i −0.302596 + 0.0905913i −0.434502 0.900671i \(-0.643076\pi\)
0.131906 + 0.991262i \(0.457890\pi\)
\(312\) −18.1191 + 99.9397i −0.0580739 + 0.320320i
\(313\) 365.968 + 42.7756i 1.16923 + 0.136663i 0.678467 0.734631i \(-0.262645\pi\)
0.490761 + 0.871294i \(0.336719\pi\)
\(314\) 146.577 174.684i 0.466807 0.556318i
\(315\) 259.608 + 529.587i 0.824153 + 1.68123i
\(316\) −12.8208 + 10.7579i −0.0405722 + 0.0340441i
\(317\) −21.1270 32.1221i −0.0666468 0.101332i 0.800627 0.599163i \(-0.204500\pi\)
−0.867274 + 0.497832i \(0.834130\pi\)
\(318\) 29.2261 + 260.944i 0.0919060 + 0.820578i
\(319\) −272.470 365.991i −0.854138 1.14731i
\(320\) 30.0152 + 59.7652i 0.0937975 + 0.186766i
\(321\) −2.66835 + 3.54839i −0.00831262 + 0.0110542i
\(322\) −147.028 + 34.8462i −0.456608 + 0.108218i
\(323\) 683.344i 2.11562i
\(324\) 78.2810 + 141.831i 0.241608 + 0.437751i
\(325\) −537.302 −1.65324
\(326\) 83.1169 + 350.698i 0.254960 + 1.07576i
\(327\) 4.73223 38.8618i 0.0144716 0.118844i
\(328\) −123.357 + 61.9521i −0.376088 + 0.188878i
\(329\) −470.785 + 350.486i −1.43096 + 1.06531i
\(330\) 135.821 310.744i 0.411580 0.941647i
\(331\) −309.069 + 203.278i −0.933743 + 0.614132i −0.922580 0.385805i \(-0.873924\pi\)
−0.0111628 + 0.999938i \(0.503553\pi\)
\(332\) −15.3201 18.2578i −0.0461449 0.0549933i
\(333\) 44.4169 100.301i 0.133384 0.301204i
\(334\) −85.6713 71.8867i −0.256501 0.215230i
\(335\) 5.06580 43.3407i 0.0151218 0.129375i
\(336\) −31.7468 88.5489i −0.0944845 0.263538i
\(337\) −21.5813 72.0865i −0.0640395 0.213907i 0.919981 0.391964i \(-0.128204\pi\)
−0.984020 + 0.178057i \(0.943019\pi\)
\(338\) −26.4558 24.9598i −0.0782717 0.0738456i
\(339\) 351.346 + 1.69304i 1.03642 + 0.00499421i
\(340\) 305.683 410.603i 0.899067 1.20766i
\(341\) −0.649914 0.114597i −0.00190591 0.000336063i
\(342\) −99.7302 + 266.002i −0.291609 + 0.777783i
\(343\) −49.7532 282.164i −0.145053 0.822637i
\(344\) 14.6284 29.1275i 0.0425243 0.0846729i
\(345\) −151.940 306.207i −0.440405 0.887557i
\(346\) −132.755 + 15.5168i −0.383684 + 0.0448462i
\(347\) 320.919 487.934i 0.924840 1.40615i 0.0110605 0.999939i \(-0.496479\pi\)
0.913779 0.406211i \(-0.133150\pi\)
\(348\) −15.2704 285.911i −0.0438805 0.821584i
\(349\) 184.656 616.795i 0.529101 1.76732i −0.105433 0.994426i \(-0.533623\pi\)
0.634534 0.772895i \(-0.281192\pi\)
\(350\) 430.952 248.810i 1.23129 0.710887i
\(351\) 322.338 + 23.4539i 0.918343 + 0.0668201i
\(352\) −27.0443 + 46.8421i −0.0768304 + 0.133074i
\(353\) 17.9547 16.9394i 0.0508631 0.0479868i −0.660391 0.750922i \(-0.729609\pi\)
0.711254 + 0.702935i \(0.248128\pi\)
\(354\) 270.725 252.961i 0.764760 0.714580i
\(355\) −30.7972 + 528.767i −0.0867525 + 1.48948i
\(356\) −192.934 83.2238i −0.541951 0.233775i
\(357\) −496.613 + 521.323i −1.39107 + 1.46029i
\(358\) −16.5504 284.160i −0.0462302 0.793742i
\(359\) 221.954 609.814i 0.618256 1.69865i −0.0929576 0.995670i \(-0.529632\pi\)
0.711214 0.702976i \(-0.248146\pi\)
\(360\) 178.917 115.221i 0.496991 0.320057i
\(361\) −128.895 + 46.9138i −0.357049 + 0.129955i
\(362\) −334.968 + 144.491i −0.925327 + 0.399147i
\(363\) −87.4527 + 14.9861i −0.240917 + 0.0412841i
\(364\) −182.607 43.2787i −0.501668 0.118897i
\(365\) −158.237 + 667.656i −0.433527 + 1.82919i
\(366\) −12.4245 72.5044i −0.0339468 0.198099i
\(367\) 24.3318 + 56.4074i 0.0662991 + 0.153699i 0.948144 0.317841i \(-0.102958\pi\)
−0.881845 + 0.471539i \(0.843698\pi\)
\(368\) 18.6467 + 51.2315i 0.0506705 + 0.139216i
\(369\) 237.818 + 369.288i 0.644494 + 1.00078i
\(370\) −135.409 49.2848i −0.365970 0.133202i
\(371\) −484.331 + 28.2091i −1.30548 + 0.0760353i
\(372\) −0.299847 0.285634i −0.000806039 0.000767833i
\(373\) −68.4478 + 158.680i −0.183506 + 0.425415i −0.984992 0.172598i \(-0.944784\pi\)
0.801486 + 0.598013i \(0.204043\pi\)
\(374\) 413.297 + 24.0718i 1.10507 + 0.0643631i
\(375\) 340.522 + 364.434i 0.908058 + 0.971824i
\(376\) 145.326 + 154.037i 0.386506 + 0.409672i
\(377\) −494.680 285.603i −1.31215 0.757569i
\(378\) −269.398 + 130.455i −0.712693 + 0.345119i
\(379\) 86.1176 + 149.160i 0.227223 + 0.393562i 0.956984 0.290140i \(-0.0937020\pi\)
−0.729761 + 0.683702i \(0.760369\pi\)
\(380\) 357.501 + 107.029i 0.940792 + 0.281655i
\(381\) −62.6626 + 3.34679i −0.164469 + 0.00878422i
\(382\) −399.800 262.952i −1.04660 0.688357i
\(383\) −51.1077 437.254i −0.133440 1.14166i −0.879541 0.475822i \(-0.842150\pi\)
0.746101 0.665833i \(-0.231924\pi\)
\(384\) −30.4039 + 15.0864i −0.0791769 + 0.0392875i
\(385\) 559.949 + 281.217i 1.45441 + 0.730434i
\(386\) 22.3435 3.93976i 0.0578846 0.0102066i
\(387\) −97.1138 36.4102i −0.250940 0.0940832i
\(388\) −60.0831 + 340.748i −0.154853 + 0.878217i
\(389\) 281.302 + 209.422i 0.723143 + 0.538360i 0.894620 0.446828i \(-0.147447\pi\)
−0.171477 + 0.985188i \(0.554854\pi\)
\(390\) 2.04577 424.546i 0.00524555 1.08858i
\(391\) 286.365 303.529i 0.732392 0.776290i
\(392\) 33.7338 10.0992i 0.0860556 0.0257634i
\(393\) −268.324 + 96.2001i −0.682757 + 0.244784i
\(394\) 73.6405 + 8.60734i 0.186905 + 0.0218460i
\(395\) 44.9674 53.5901i 0.113842 0.135671i
\(396\) 157.369 + 69.6886i 0.397396 + 0.175981i
\(397\) −302.682 + 253.981i −0.762424 + 0.639750i −0.938757 0.344581i \(-0.888021\pi\)
0.176332 + 0.984331i \(0.443577\pi\)
\(398\) 26.9396 + 40.9597i 0.0676875 + 0.102914i
\(399\) −480.955 210.218i −1.20540 0.526863i
\(400\) −107.219 144.021i −0.268048 0.360052i
\(401\) 170.381 + 339.256i 0.424890 + 0.846026i 0.999617 + 0.0276803i \(0.00881203\pi\)
−0.574727 + 0.818345i \(0.694892\pi\)
\(402\) 21.9828 + 2.67686i 0.0546836 + 0.00665886i
\(403\) −0.803900 + 0.190528i −0.00199479 + 0.000472773i
\(404\) 177.208i 0.438635i
\(405\) −425.184 527.019i −1.04984 1.30128i
\(406\) 529.022 1.30301
\(407\) −26.8761 113.399i −0.0660347 0.278622i
\(408\) 207.632 + 156.137i 0.508901 + 0.382688i
\(409\) 189.583 95.2122i 0.463528 0.232793i −0.201679 0.979452i \(-0.564640\pi\)
0.665207 + 0.746659i \(0.268343\pi\)
\(410\) 462.822 344.558i 1.12883 0.840386i
\(411\) −616.735 + 69.0752i −1.50057 + 0.168066i
\(412\) −9.56757 + 6.29269i −0.0232223 + 0.0152735i
\(413\) 440.045 + 524.425i 1.06548 + 1.26979i
\(414\) 155.770 76.3599i 0.376257 0.184444i
\(415\) 76.3163 + 64.0370i 0.183895 + 0.154306i
\(416\) −7.86096 + 67.2548i −0.0188965 + 0.161670i
\(417\) 152.839 + 27.7096i 0.366520 + 0.0664500i
\(418\) 86.5599 + 289.130i 0.207081 + 0.691699i
\(419\) 509.110 + 480.321i 1.21506 + 1.14635i 0.984886 + 0.173201i \(0.0554111\pi\)
0.230174 + 0.973149i \(0.426070\pi\)
\(420\) 194.955 + 341.462i 0.464180 + 0.813005i
\(421\) 119.570 160.610i 0.284013 0.381496i −0.637106 0.770776i \(-0.719869\pi\)
0.921119 + 0.389280i \(0.127276\pi\)
\(422\) −316.700 55.8428i −0.750475 0.132329i
\(423\) 438.098 512.002i 1.03569 1.21041i
\(424\) 30.3972 + 172.391i 0.0716914 + 0.406582i
\(425\) −616.777 + 1228.10i −1.45124 + 2.88965i
\(426\) −268.271 16.9225i −0.629745 0.0397242i
\(427\) 134.998 15.7790i 0.316154 0.0369531i
\(428\) −1.62645 + 2.47289i −0.00380011 + 0.00577779i
\(429\) 287.777 187.294i 0.670808 0.436582i
\(430\) −39.0748 + 130.519i −0.0908717 + 0.303533i
\(431\) −240.975 + 139.127i −0.559108 + 0.322801i −0.752787 0.658264i \(-0.771291\pi\)
0.193679 + 0.981065i \(0.437958\pi\)
\(432\) 58.0364 + 91.0811i 0.134344 + 0.210836i
\(433\) −112.485 + 194.831i −0.259782 + 0.449955i −0.966183 0.257856i \(-0.916984\pi\)
0.706402 + 0.707811i \(0.250317\pi\)
\(434\) 0.556553 0.525081i 0.00128238 0.00120986i
\(435\) 270.385 + 1165.85i 0.621574 + 2.68011i
\(436\) 1.51754 26.0551i 0.00348059 0.0597594i
\(437\) 279.334 + 120.493i 0.639208 + 0.275727i
\(438\) −338.445 81.9374i −0.772706 0.187072i
\(439\) −17.9007 307.344i −0.0407761 0.700099i −0.955313 0.295597i \(-0.904482\pi\)
0.914537 0.404503i \(-0.132555\pi\)
\(440\) 77.3261 212.452i 0.175741 0.482845i
\(441\) −43.3862 103.307i −0.0983813 0.234256i
\(442\) 487.021 177.261i 1.10186 0.401043i
\(443\) 505.684 218.131i 1.14150 0.492395i 0.260482 0.965479i \(-0.416119\pi\)
0.881017 + 0.473084i \(0.156859\pi\)
\(444\) 25.3429 68.5988i 0.0570787 0.154502i
\(445\) 854.608 + 202.546i 1.92047 + 0.455159i
\(446\) −90.6919 + 382.659i −0.203345 + 0.857980i
\(447\) −355.601 + 295.477i −0.795529 + 0.661022i
\(448\) −24.8389 57.5831i −0.0554440 0.128534i
\(449\) 172.374 + 473.593i 0.383906 + 1.05477i 0.969697 + 0.244310i \(0.0785616\pi\)
−0.585791 + 0.810462i \(0.699216\pi\)
\(450\) −419.324 + 388.042i −0.931831 + 0.862316i
\(451\) 438.506 + 159.603i 0.972296 + 0.353887i
\(452\) 233.837 13.6195i 0.517339 0.0301316i
\(453\) 335.652 98.7277i 0.740953 0.217942i
\(454\) 110.939 257.185i 0.244359 0.566488i
\(455\) 783.102 + 45.6105i 1.72110 + 0.100243i
\(456\) −55.1909 + 181.168i −0.121033 + 0.397299i
\(457\) −380.014 402.792i −0.831541 0.881382i 0.162903 0.986642i \(-0.447914\pi\)
−0.994445 + 0.105260i \(0.966433\pi\)
\(458\) 152.264 + 87.9096i 0.332454 + 0.191942i
\(459\) 423.625 709.841i 0.922930 1.54649i
\(460\) −113.944 197.356i −0.247704 0.429035i
\(461\) −254.517 76.1973i −0.552097 0.165287i −0.00141023 0.999999i \(-0.500449\pi\)
−0.550687 + 0.834712i \(0.685634\pi\)
\(462\) −144.086 + 283.484i −0.311874 + 0.613602i
\(463\) 283.026 + 186.149i 0.611287 + 0.402050i 0.817062 0.576549i \(-0.195601\pi\)
−0.205775 + 0.978599i \(0.565972\pi\)
\(464\) −22.1597 189.589i −0.0477580 0.408596i
\(465\) 1.44162 + 0.958152i 0.00310026 + 0.00206054i
\(466\) −143.444 72.0403i −0.307820 0.154593i
\(467\) −536.494 + 94.5983i −1.14881 + 0.202566i −0.715455 0.698658i \(-0.753781\pi\)
−0.433353 + 0.901224i \(0.642670\pi\)
\(468\) 215.450 + 2.07643i 0.460364 + 0.00443682i
\(469\) −7.10516 + 40.2953i −0.0151496 + 0.0859176i
\(470\) −710.030 528.598i −1.51070 1.12468i
\(471\) −417.754 243.882i −0.886952 0.517796i
\(472\) 169.509 179.669i 0.359128 0.380654i
\(473\) −105.558 + 31.6019i −0.223166 + 0.0668117i
\(474\) 27.0867 + 22.9518i 0.0571450 + 0.0484215i
\(475\) −995.095 116.310i −2.09494 0.244863i
\(476\) −308.539 + 367.702i −0.648191 + 0.772483i
\(477\) 535.121 154.601i 1.12185 0.324112i
\(478\) 290.116 243.436i 0.606937 0.509281i
\(479\) −506.936 770.758i −1.05832 1.60910i −0.754417 0.656396i \(-0.772080\pi\)
−0.303904 0.952703i \(-0.598290\pi\)
\(480\) 114.205 84.1705i 0.237928 0.175355i
\(481\) −87.1227 117.026i −0.181128 0.243298i
\(482\) 64.4911 + 128.412i 0.133799 + 0.266416i
\(483\) 125.537 + 294.927i 0.259911 + 0.610614i
\(484\) −57.5572 + 13.6413i −0.118920 + 0.0281845i
\(485\) 1446.28i 2.98201i
\(486\) 268.499 214.490i 0.552468 0.441338i
\(487\) −339.709 −0.697554 −0.348777 0.937206i \(-0.613403\pi\)
−0.348777 + 0.937206i \(0.613403\pi\)
\(488\) −11.3096 47.7189i −0.0231754 0.0977847i
\(489\) 703.474 299.437i 1.43860 0.612345i
\(490\) −131.532 + 66.0581i −0.268434 + 0.134812i
\(491\) 334.636 249.127i 0.681539 0.507387i −0.199821 0.979832i \(-0.564036\pi\)
0.881360 + 0.472446i \(0.156629\pi\)
\(492\) 173.730 + 235.723i 0.353110 + 0.479111i
\(493\) −1220.65 + 802.834i −2.47596 + 1.62847i
\(494\) 242.865 + 289.435i 0.491629 + 0.585901i
\(495\) −698.380 172.644i −1.41087 0.348776i
\(496\) −0.211489 0.177460i −0.000426389 0.000357783i
\(497\) 57.6589 493.303i 0.116014 0.992561i
\(498\) −32.6851 + 38.5736i −0.0656327 + 0.0774570i
\(499\) −231.850 774.432i −0.464628 1.55197i −0.794091 0.607798i \(-0.792053\pi\)
0.329463 0.944169i \(-0.393132\pi\)
\(500\) 241.859 + 228.182i 0.483719 + 0.456365i
\(501\) −119.609 + 204.882i −0.238740 + 0.408946i
\(502\) −134.700 + 180.934i −0.268327 + 0.360426i
\(503\) 330.529 + 58.2811i 0.657115 + 0.115867i 0.492256 0.870450i \(-0.336172\pi\)
0.164858 + 0.986317i \(0.447283\pi\)
\(504\) −173.767 + 98.1039i −0.344776 + 0.194651i
\(505\) 128.625 + 729.466i 0.254702 + 1.44449i
\(506\) 82.7159 164.701i 0.163470 0.325496i
\(507\) −42.7081 + 64.2579i −0.0842369 + 0.126741i
\(508\) −41.5517 + 4.85670i −0.0817947 + 0.00956043i
\(509\) 107.817 163.928i 0.211821 0.322058i −0.713912 0.700235i \(-0.753079\pi\)
0.925733 + 0.378177i \(0.123449\pi\)
\(510\) −968.031 492.019i −1.89810 0.964743i
\(511\) 184.529 616.370i 0.361113 1.20620i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 591.901 + 113.214i 1.15380 + 0.220690i
\(514\) −323.289 + 559.953i −0.628967 + 1.08940i
\(515\) 34.8167 32.8479i 0.0676053 0.0637823i
\(516\) −66.1422 20.1495i −0.128183 0.0390494i
\(517\) 41.6258 714.688i 0.0805142 1.38238i
\(518\) 124.070 + 53.5186i 0.239517 + 0.103318i
\(519\) 80.0082 + 272.010i 0.154158 + 0.524104i
\(520\) −16.4570 282.555i −0.0316480 0.543376i
\(521\) 17.3598 47.6958i 0.0333202 0.0915465i −0.921917 0.387387i \(-0.873378\pi\)
0.955237 + 0.295841i \(0.0955998\pi\)
\(522\) −592.325 + 134.368i −1.13472 + 0.257410i
\(523\) −329.876 + 120.065i −0.630737 + 0.229570i −0.637552 0.770407i \(-0.720053\pi\)
0.00681487 + 0.999977i \(0.497831\pi\)
\(524\) −174.490 + 75.2677i −0.332996 + 0.143641i
\(525\) −674.631 811.907i −1.28501 1.54649i
\(526\) 278.379 + 65.9771i 0.529238 + 0.125432i
\(527\) −0.487321 + 2.05617i −0.000924709 + 0.00390165i
\(528\) 107.629 + 39.7622i 0.203843 + 0.0753072i
\(529\) 135.945 + 315.157i 0.256985 + 0.595759i
\(530\) −250.256 687.572i −0.472180 1.29730i
\(531\) −625.901 475.409i −1.17872 0.895310i
\(532\) −328.824 119.682i −0.618090 0.224966i
\(533\) 583.201 33.9676i 1.09419 0.0637291i
\(534\) −104.881 + 433.214i −0.196406 + 0.811262i
\(535\) 4.90024 11.3600i 0.00915932 0.0212337i
\(536\) 14.7385 + 0.858419i 0.0274972 + 0.00160153i
\(537\) −588.203 + 136.417i −1.09535 + 0.254035i
\(538\) 327.543 + 347.176i 0.608816 + 0.645308i
\(539\) −103.091 59.5196i −0.191263 0.110426i
\(540\) −305.013 332.804i −0.564839 0.616304i
\(541\) 161.585 + 279.873i 0.298678 + 0.517326i 0.975834 0.218514i \(-0.0701209\pi\)
−0.677156 + 0.735840i \(0.736788\pi\)
\(542\) −87.2958 26.1346i −0.161062 0.0482189i
\(543\) 422.125 + 648.596i 0.777395 + 1.19447i
\(544\) 144.700 + 95.1704i 0.265992 + 0.174946i
\(545\) 12.6649 + 108.356i 0.0232384 + 0.198817i
\(546\) −25.0622 + 397.309i −0.0459014 + 0.727673i
\(547\) 663.507 + 333.226i 1.21299 + 0.609188i 0.936107 0.351714i \(-0.114401\pi\)
0.276886 + 0.960903i \(0.410697\pi\)
\(548\) −407.442 + 71.8430i −0.743507 + 0.131100i
\(549\) −147.144 + 51.9556i −0.268021 + 0.0946367i
\(550\) −105.400 + 597.751i −0.191636 + 1.08682i
\(551\) −854.333 636.027i −1.55051 1.15431i
\(552\) 100.436 57.3433i 0.181949 0.103883i
\(553\) −45.0161 + 47.7143i −0.0814035 + 0.0862827i
\(554\) −166.231 + 49.7664i −0.300057 + 0.0898311i
\(555\) −54.5308 + 300.777i −0.0982537 + 0.541941i
\(556\) 102.853 + 12.0218i 0.184988 + 0.0216220i
\(557\) 567.586 676.423i 1.01901 1.21440i 0.0424587 0.999098i \(-0.486481\pi\)
0.976547 0.215305i \(-0.0690746\pi\)
\(558\) −0.489783 + 0.729273i −0.000877748 + 0.00130694i
\(559\) −105.669 + 88.6668i −0.189032 + 0.158617i
\(560\) 144.044 + 219.008i 0.257221 + 0.391085i
\(561\) −97.7509 872.764i −0.174244 1.55573i
\(562\) 132.913 + 178.533i 0.236500 + 0.317674i
\(563\) −73.1717 145.697i −0.129967 0.258787i 0.819232 0.573463i \(-0.194400\pi\)
−0.949199 + 0.314676i \(0.898104\pi\)
\(564\) 269.997 359.044i 0.478719 0.636603i
\(565\) −952.689 + 225.791i −1.68618 + 0.399631i
\(566\) 75.5219i 0.133431i
\(567\) 369.284 + 516.528i 0.651294 + 0.910984i
\(568\) −179.203 −0.315498
\(569\) 254.987 + 1075.88i 0.448132 + 1.89082i 0.454321 + 0.890838i \(0.349882\pi\)
−0.00618840 + 0.999981i \(0.501970\pi\)
\(570\) 95.6905 785.826i 0.167878 1.37864i
\(571\) −422.533 + 212.204i −0.739989 + 0.371636i −0.778519 0.627621i \(-0.784029\pi\)
0.0385303 + 0.999257i \(0.487732\pi\)
\(572\) 183.610 136.693i 0.320997 0.238973i
\(573\) −406.547 + 930.133i −0.709506 + 1.62327i
\(574\) −452.037 + 297.309i −0.787521 + 0.517961i
\(575\) 393.262 + 468.672i 0.683934 + 0.815081i
\(576\) 42.4368 + 58.1645i 0.0736751 + 0.100980i
\(577\) 472.124 + 396.159i 0.818239 + 0.686584i 0.952559 0.304354i \(-0.0984406\pi\)
−0.134320 + 0.990938i \(0.542885\pi\)
\(578\) 106.447 910.713i 0.184165 1.57563i
\(579\) −16.2429 45.3051i −0.0280534 0.0782471i
\(580\) 228.829 + 764.344i 0.394534 + 1.31783i
\(581\) −67.9488 64.1064i −0.116951 0.110338i
\(582\) 733.978 + 3.53683i 1.26113 + 0.00607703i
\(583\) 353.377 474.668i 0.606135 0.814181i
\(584\) −228.622 40.3121i −0.391475 0.0690276i
\(585\) −888.393 + 147.834i −1.51862 + 0.252708i
\(586\) 22.5811 + 128.064i 0.0385344 + 0.218539i
\(587\) 497.663 990.928i 0.847807 1.68812i 0.130408 0.991460i \(-0.458371\pi\)
0.717399 0.696662i \(-0.245332\pi\)
\(588\) −33.2025 66.9136i −0.0564668 0.113799i
\(589\) −1.53008 + 0.178841i −0.00259776 + 0.000303635i
\(590\) −567.360 + 862.629i −0.961627 + 1.46208i
\(591\) −8.38824 157.055i −0.0141933 0.265744i
\(592\) 13.9827 46.7055i 0.0236194 0.0788944i
\(593\) −286.819 + 165.595i −0.483675 + 0.279250i −0.721947 0.691949i \(-0.756752\pi\)
0.238272 + 0.971199i \(0.423419\pi\)
\(594\) 89.3240 354.002i 0.150377 0.595964i
\(595\) 1003.19 1737.57i 1.68603 2.92028i
\(596\) −224.196 + 211.518i −0.376168 + 0.354896i
\(597\) 75.9881 71.0021i 0.127283 0.118931i
\(598\) 13.4157 230.338i 0.0224342 0.385181i
\(599\) 792.370 + 341.795i 1.32282 + 0.570610i 0.936148 0.351607i \(-0.114365\pi\)
0.386674 + 0.922217i \(0.373624\pi\)
\(600\) −262.709 + 275.780i −0.437848 + 0.459634i
\(601\) 59.2224 + 1016.81i 0.0985398 + 1.69186i 0.579382 + 0.815056i \(0.303294\pi\)
−0.480842 + 0.876807i \(0.659669\pi\)
\(602\) 43.6944 120.049i 0.0725820 0.199417i
\(603\) −2.27939 46.9217i −0.00378008 0.0778138i
\(604\) 219.180 79.7751i 0.362881 0.132078i
\(605\) 227.029 97.9307i 0.375254 0.161869i
\(606\) −370.515 + 63.4925i −0.611411 + 0.104773i
\(607\) −143.111 33.9179i −0.235768 0.0558779i 0.111033 0.993817i \(-0.464584\pi\)
−0.346801 + 0.937939i \(0.612732\pi\)
\(608\) −29.1173 + 122.856i −0.0478903 + 0.202065i
\(609\) −189.545 1106.10i −0.311239 1.81626i
\(610\) 81.1913 + 188.223i 0.133101 + 0.308562i
\(611\) −306.526 842.174i −0.501680 1.37835i
\(612\) 252.065 490.068i 0.411870 0.800765i
\(613\) −675.344 245.805i −1.10170 0.400987i −0.273760 0.961798i \(-0.588267\pi\)
−0.827944 + 0.560811i \(0.810490\pi\)
\(614\) 469.340 27.3359i 0.764397 0.0445211i
\(615\) −886.243 844.236i −1.44105 1.37274i
\(616\) −83.9688 + 194.662i −0.136313 + 0.316009i
\(617\) −134.465 7.83171i −0.217934 0.0126932i −0.0511696 0.998690i \(-0.516295\pi\)
−0.166764 + 0.985997i \(0.553332\pi\)
\(618\) 16.5850 + 17.7497i 0.0268366 + 0.0287211i
\(619\) 208.672 + 221.179i 0.337111 + 0.357317i 0.873647 0.486561i \(-0.161749\pi\)
−0.536535 + 0.843878i \(0.680267\pi\)
\(620\) 0.999388 + 0.576997i 0.00161192 + 0.000930640i
\(621\) −215.468 298.332i −0.346969 0.480406i
\(622\) 69.4621 + 120.312i 0.111675 + 0.193427i
\(623\) −788.961 236.199i −1.26639 0.379132i
\(624\) 143.436 7.66086i 0.229865 0.0122770i
\(625\) −223.650 147.097i −0.357840 0.235355i
\(626\) −60.4938 517.557i −0.0966354 0.826769i
\(627\) 573.512 284.577i 0.914693 0.453870i
\(628\) −288.186 144.733i −0.458895 0.230466i
\(629\) −367.494 + 64.7992i −0.584252 + 0.103019i
\(630\) 644.093 529.965i 1.02237 0.841214i
\(631\) −180.049 + 1021.11i −0.285339 + 1.61824i 0.418734 + 0.908109i \(0.362474\pi\)
−0.704073 + 0.710128i \(0.748637\pi\)
\(632\) 18.9853 + 14.1340i 0.0300400 + 0.0223640i
\(633\) −3.28722 + 682.179i −0.00519309 + 1.07769i
\(634\) −37.3127 + 39.5491i −0.0588528 + 0.0623803i
\(635\) 167.520 50.1521i 0.263810 0.0789796i
\(636\) 349.551 125.322i 0.549609 0.197047i
\(637\) −148.016 17.3006i −0.232364 0.0271594i
\(638\) −414.774 + 494.309i −0.650116 + 0.774778i
\(639\) 60.7373 + 566.977i 0.0950506 + 0.887287i
\(640\) 72.4533 60.7955i 0.113208 0.0949930i
\(641\) 217.145 + 330.153i 0.338760 + 0.515060i 0.964187 0.265223i \(-0.0854456\pi\)
−0.625427 + 0.780283i \(0.715075\pi\)
\(642\) 5.75318 + 2.51463i 0.00896133 + 0.00391687i
\(643\) 306.791 + 412.091i 0.477124 + 0.640888i 0.973897 0.226992i \(-0.0728892\pi\)
−0.496773 + 0.867881i \(0.665482\pi\)
\(644\) 95.9032 + 190.959i 0.148918 + 0.296520i
\(645\) 286.895 + 34.9354i 0.444799 + 0.0541634i
\(646\) 940.345 222.866i 1.45564 0.344994i
\(647\) 504.577i 0.779872i 0.920842 + 0.389936i \(0.127503\pi\)
−0.920842 + 0.389936i \(0.872497\pi\)
\(648\) 169.642 153.979i 0.261794 0.237622i
\(649\) −835.026 −1.28664
\(650\) 175.236 + 739.377i 0.269593 + 1.13750i
\(651\) −1.29727 0.975533i −0.00199274 0.00149851i
\(652\) 455.485 228.753i 0.698597 0.350848i
\(653\) −133.879 + 99.6693i −0.205022 + 0.152633i −0.694773 0.719229i \(-0.744495\pi\)
0.489751 + 0.871862i \(0.337088\pi\)
\(654\) −55.0209 + 6.16242i −0.0841298 + 0.00942266i
\(655\) 663.644 436.485i 1.01320 0.666390i
\(656\) 125.483 + 149.545i 0.191286 + 0.227965i
\(657\) −50.0560 + 736.994i −0.0761887 + 1.12176i
\(658\) 635.844 + 533.536i 0.966328 + 0.810845i
\(659\) −45.0700 + 385.599i −0.0683915 + 0.585127i 0.914977 + 0.403506i \(0.132208\pi\)
−0.983369 + 0.181621i \(0.941866\pi\)
\(660\) −471.909 85.5570i −0.715014 0.129632i
\(661\) −65.8428 219.930i −0.0996109 0.332724i 0.893629 0.448807i \(-0.148151\pi\)
−0.993239 + 0.116084i \(0.962966\pi\)
\(662\) 380.529 + 359.011i 0.574817 + 0.542312i
\(663\) −545.121 954.773i −0.822204 1.44008i
\(664\) −20.1279 + 27.0365i −0.0303131 + 0.0407176i
\(665\) 1440.45 + 253.990i 2.16609 + 0.381940i
\(666\) −152.510 28.4097i −0.228993 0.0426572i
\(667\) 112.943 + 640.533i 0.169330 + 0.960319i
\(668\) −70.9820 + 141.337i −0.106260 + 0.211582i
\(669\) 832.574 + 52.5186i 1.24451 + 0.0785032i
\(670\) −61.2930 + 7.16413i −0.0914821 + 0.0106927i
\(671\) −91.0999 + 138.511i −0.135767 + 0.206424i
\(672\) −111.498 + 72.5659i −0.165919 + 0.107985i
\(673\) 252.817 844.468i 0.375657 1.25478i −0.536136 0.844132i \(-0.680117\pi\)
0.911793 0.410650i \(-0.134698\pi\)
\(674\) −92.1593 + 53.2082i −0.136735 + 0.0789439i
\(675\) 961.576 + 737.708i 1.42456 + 1.09290i
\(676\) −25.7187 + 44.5461i −0.0380454 + 0.0658966i
\(677\) 207.959 196.199i 0.307177 0.289807i −0.517180 0.855877i \(-0.673018\pi\)
0.824357 + 0.566070i \(0.191537\pi\)
\(678\) −112.258 484.037i −0.165573 0.713919i
\(679\) −78.8539 + 1353.87i −0.116132 + 1.99392i
\(680\) −664.724 286.734i −0.977535 0.421667i
\(681\) −577.483 139.808i −0.847993 0.205299i
\(682\) 0.0542664 + 0.931718i 7.95695e−5 + 0.00136615i
\(683\) 39.8195 109.403i 0.0583010 0.160181i −0.907123 0.420866i \(-0.861726\pi\)
0.965424 + 0.260685i \(0.0839485\pi\)
\(684\) 398.569 + 50.4842i 0.582703 + 0.0738073i
\(685\) 1625.06 591.473i 2.37235 0.863465i
\(686\) −372.058 + 160.490i −0.542358 + 0.233951i
\(687\) 129.250 349.857i 0.188137 0.509254i
\(688\) −44.8530 10.6304i −0.0651933 0.0154511i
\(689\) 170.845 720.851i 0.247961 1.04623i
\(690\) −371.816 + 308.950i −0.538864 + 0.447753i
\(691\) 279.027 + 646.857i 0.403802 + 0.936118i 0.991864 + 0.127302i \(0.0406317\pi\)
−0.588062 + 0.808816i \(0.700109\pi\)
\(692\) 64.6492 + 177.622i 0.0934237 + 0.256679i
\(693\) 644.345 + 199.690i 0.929791 + 0.288154i
\(694\) −776.108 282.480i −1.11831 0.407032i
\(695\) −432.115 + 25.1678i −0.621748 + 0.0362127i
\(696\) −388.460 + 114.261i −0.558133 + 0.164168i
\(697\) 591.826 1372.01i 0.849104 1.96844i
\(698\) −908.991 52.9427i −1.30228 0.0758492i
\(699\) −99.2300 + 325.730i −0.141960 + 0.465995i
\(700\) −482.937 511.883i −0.689910 0.731262i
\(701\) 299.507 + 172.920i 0.427256 + 0.246677i 0.698177 0.715925i \(-0.253995\pi\)
−0.270921 + 0.962602i \(0.587328\pi\)
\(702\) −72.8527 451.217i −0.103779 0.642759i
\(703\) −136.021 235.594i −0.193486 0.335127i
\(704\) 73.2793 + 21.9384i 0.104090 + 0.0311625i
\(705\) −850.817 + 1673.95i −1.20683 + 2.37440i
\(706\) −29.1659 19.1827i −0.0413114 0.0271710i
\(707\) −80.6343 689.871i −0.114051 0.975772i
\(708\) −436.393 290.042i −0.616374 0.409664i
\(709\) 953.476 + 478.854i 1.34482 + 0.675393i 0.968013 0.250899i \(-0.0807263\pi\)
0.376805 + 0.926293i \(0.377023\pi\)
\(710\) 737.677 130.072i 1.03898 0.183200i
\(711\) 38.2836 64.8576i 0.0538448 0.0912203i
\(712\) −51.6000 + 292.638i −0.0724720 + 0.411009i
\(713\) 0.754582 + 0.561765i 0.00105832 + 0.000787890i
\(714\) 879.355 + 513.361i 1.23159 + 0.718993i
\(715\) −656.601 + 695.956i −0.918323 + 0.973366i
\(716\) −385.632 + 115.451i −0.538593 + 0.161244i
\(717\) −612.933 519.366i −0.854858 0.724359i
\(718\) −911.549 106.545i −1.26957 0.148391i
\(719\) 369.007 439.765i 0.513222 0.611635i −0.445742 0.895162i \(-0.647060\pi\)
0.958964 + 0.283527i \(0.0915045\pi\)
\(720\) −216.906 208.628i −0.301259 0.289761i
\(721\) −34.3831 + 28.8509i −0.0476881 + 0.0400151i
\(722\) 106.595 + 162.071i 0.147639 + 0.224474i
\(723\) 245.383 180.850i 0.339396 0.250138i
\(724\) 308.080 + 413.823i 0.425525 + 0.571579i
\(725\) −961.334 1914.17i −1.32598 2.64024i
\(726\) 49.1442 + 115.456i 0.0676917 + 0.159030i
\(727\) 290.456 68.8392i 0.399526 0.0946895i −0.0259405 0.999663i \(-0.508258\pi\)
0.425467 + 0.904974i \(0.360110\pi\)
\(728\) 265.399i 0.364559i
\(729\) −544.667 484.540i −0.747143 0.664664i
\(730\) 970.364 1.32927
\(731\) 81.3655 + 343.308i 0.111307 + 0.469642i
\(732\) −95.7207 + 40.7439i −0.130766 + 0.0556611i
\(733\) −731.479 + 367.363i −0.997925 + 0.501177i −0.871288 0.490772i \(-0.836715\pi\)
−0.126637 + 0.991949i \(0.540418\pi\)
\(734\) 69.6863 51.8795i 0.0949405 0.0706805i
\(735\) 185.244 + 251.346i 0.252033 + 0.341967i
\(736\) 64.4179 42.3683i 0.0875243 0.0575656i
\(737\) −32.0805 38.2321i −0.0435285 0.0518753i
\(738\) 430.613 447.700i 0.583487 0.606639i
\(739\) −167.676 140.697i −0.226896 0.190388i 0.522252 0.852791i \(-0.325092\pi\)
−0.749147 + 0.662403i \(0.769537\pi\)
\(740\) −23.6582 + 202.409i −0.0319706 + 0.273526i
\(741\) 518.147 611.495i 0.699253 0.825229i
\(742\) 196.778 + 657.285i 0.265200 + 0.885829i
\(743\) 1049.66 + 990.299i 1.41273 + 1.33284i 0.870110 + 0.492858i \(0.164048\pi\)
0.542617 + 0.839980i \(0.317434\pi\)
\(744\) −0.295267 + 0.505773i −0.000396864 + 0.000679803i
\(745\) 769.360 1033.43i 1.03270 1.38715i
\(746\) 240.682 + 42.4387i 0.322630 + 0.0568884i
\(747\) 92.3621 + 54.5188i 0.123644 + 0.0729837i
\(748\) −101.668 576.586i −0.135919 0.770837i
\(749\) −5.20652 + 10.3670i −0.00695129 + 0.0138412i
\(750\) 390.437 587.446i 0.520583 0.783261i
\(751\) −279.209 + 32.6348i −0.371783 + 0.0434552i −0.299933 0.953960i \(-0.596964\pi\)
−0.0718498 + 0.997415i \(0.522890\pi\)
\(752\) 164.572 250.220i 0.218846 0.332739i
\(753\) 426.566 + 216.810i 0.566489 + 0.287928i
\(754\) −231.682 + 773.872i −0.307271 + 1.02636i
\(755\) −844.336 + 487.478i −1.11833 + 0.645666i
\(756\) 267.379 + 328.170i 0.353677 + 0.434087i
\(757\) −321.882 + 557.517i −0.425208 + 0.736482i −0.996440 0.0843069i \(-0.973132\pi\)
0.571232 + 0.820789i \(0.306466\pi\)
\(758\) 177.172 167.153i 0.233736 0.220518i
\(759\) −374.000 113.935i −0.492754 0.150112i
\(760\) 30.6862 526.861i 0.0403765 0.693238i
\(761\) 601.956 + 259.658i 0.791006 + 0.341207i 0.752958 0.658069i \(-0.228627\pi\)
0.0380488 + 0.999276i \(0.487886\pi\)
\(762\) 25.0423 + 85.1380i 0.0328639 + 0.111730i
\(763\) −5.94798 102.123i −0.00779552 0.133844i
\(764\) −231.456 + 635.921i −0.302953 + 0.832357i
\(765\) −681.896 + 2200.29i −0.891367 + 2.87619i
\(766\) −585.034 + 212.935i −0.763752 + 0.277983i
\(767\) −959.863 + 414.045i −1.25145 + 0.539823i
\(768\) 30.6763 + 36.9184i 0.0399431 + 0.0480708i
\(769\) −1436.19 340.383i −1.86761 0.442631i −0.868971 0.494864i \(-0.835218\pi\)
−0.998635 + 0.0522331i \(0.983366\pi\)
\(770\) 204.359 862.259i 0.265401 1.11982i
\(771\) 1286.61 + 475.320i 1.66875 + 0.616498i