Properties

Label 45.4.l.a.2.15
Level $45$
Weight $4$
Character 45.2
Analytic conductor $2.655$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.l (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.15
Character \(\chi\) \(=\) 45.2
Dual form 45.4.l.a.23.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.15194 + 4.29910i) q^{2} +(-2.52446 + 4.54171i) q^{3} +(-10.2271 + 5.90461i) q^{4} +(10.7022 - 3.23468i) q^{5} +(-22.4333 - 5.62113i) q^{6} +(-7.13532 + 1.91190i) q^{7} +(-11.9883 - 11.9883i) q^{8} +(-14.2542 - 22.9307i) q^{9} +O(q^{10})\) \(q+(1.15194 + 4.29910i) q^{2} +(-2.52446 + 4.54171i) q^{3} +(-10.2271 + 5.90461i) q^{4} +(10.7022 - 3.23468i) q^{5} +(-22.4333 - 5.62113i) q^{6} +(-7.13532 + 1.91190i) q^{7} +(-11.9883 - 11.9883i) q^{8} +(-14.2542 - 22.9307i) q^{9} +(26.2345 + 42.2836i) q^{10} +(-7.55654 - 4.36277i) q^{11} +(-0.999152 - 61.3544i) q^{12} +(73.7842 + 19.7704i) q^{13} +(-16.4389 - 28.4731i) q^{14} +(-12.3263 + 56.7720i) q^{15} +(-9.50797 + 16.4683i) q^{16} +(-5.92131 + 5.92131i) q^{17} +(82.1614 - 87.6951i) q^{18} +106.718i q^{19} +(-90.3527 + 96.2737i) q^{20} +(9.32953 - 37.2331i) q^{21} +(10.0513 - 37.5120i) q^{22} +(27.4553 - 102.465i) q^{23} +(84.7110 - 24.1833i) q^{24} +(104.074 - 69.2363i) q^{25} +339.980i q^{26} +(140.129 - 6.85080i) q^{27} +(61.6846 - 61.6846i) q^{28} +(85.3380 - 147.810i) q^{29} +(-258.268 + 12.4061i) q^{30} +(-157.999 - 273.662i) q^{31} +(-212.761 - 57.0093i) q^{32} +(38.8906 - 23.3059i) q^{33} +(-32.2773 - 18.6353i) q^{34} +(-70.1792 + 43.5421i) q^{35} +(281.176 + 150.349i) q^{36} +(-31.7091 - 31.7091i) q^{37} +(-458.791 + 122.933i) q^{38} +(-276.057 + 285.197i) q^{39} +(-167.079 - 89.5224i) q^{40} +(298.272 - 172.207i) q^{41} +(170.816 - 2.78172i) q^{42} +(115.545 + 431.220i) q^{43} +103.042 q^{44} +(-226.725 - 199.301i) q^{45} +472.133 q^{46} +(-60.9929 - 227.629i) q^{47} +(-50.7917 - 84.7559i) q^{48} +(-249.789 + 144.216i) q^{49} +(417.541 + 367.667i) q^{50} +(-11.9448 - 41.8410i) q^{51} +(-871.335 + 233.473i) q^{52} +(-60.5508 - 60.5508i) q^{53} +(190.872 + 594.536i) q^{54} +(-94.9837 - 22.2482i) q^{55} +(108.460 + 62.6197i) q^{56} +(-484.682 - 269.405i) q^{57} +(733.754 + 196.609i) q^{58} +(-25.4427 - 44.0680i) q^{59} +(-209.155 - 653.395i) q^{60} +(-36.1174 + 62.5572i) q^{61} +(994.494 - 994.494i) q^{62} +(145.550 + 136.365i) q^{63} -828.227i q^{64} +(853.604 - 27.0816i) q^{65} +(144.994 + 140.347i) q^{66} +(4.59668 - 17.1550i) q^{67} +(25.5947 - 95.5208i) q^{68} +(396.055 + 383.362i) q^{69} +(-268.034 - 251.549i) q^{70} -109.592i q^{71} +(-104.016 + 445.782i) q^{72} +(-144.319 + 144.319i) q^{73} +(99.7935 - 172.847i) q^{74} +(51.7214 + 647.456i) q^{75} +(-630.128 - 1091.41i) q^{76} +(62.2595 + 16.6824i) q^{77} +(-1544.09 - 858.266i) q^{78} +(-140.624 - 81.1891i) q^{79} +(-48.4864 + 207.002i) q^{80} +(-322.635 + 653.718i) q^{81} +(1083.93 + 1083.93i) q^{82} +(279.860 - 74.9883i) q^{83} +(124.433 + 435.873i) q^{84} +(-44.2174 + 82.5245i) q^{85} +(-1720.76 + 993.479i) q^{86} +(455.877 + 760.720i) q^{87} +(38.2877 + 142.892i) q^{88} -1107.89 q^{89} +(595.641 - 1204.30i) q^{90} -564.273 q^{91} +(324.227 + 1210.03i) q^{92} +(1641.75 - 26.7358i) q^{93} +(908.339 - 524.430i) q^{94} +(345.199 + 1142.12i) q^{95} +(796.027 - 822.383i) q^{96} +(-197.725 + 52.9802i) q^{97} +(-907.741 - 907.741i) q^{98} +(7.67108 + 235.465i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7} - 8 q^{10} - 36 q^{11} - 138 q^{12} - 2 q^{13} - 96 q^{15} + 316 q^{16} - 480 q^{18} + 378 q^{20} + 480 q^{21} - 34 q^{22} + 306 q^{23} - 146 q^{25} + 180 q^{27} - 232 q^{28} - 1170 q^{30} - 4 q^{31} - 1770 q^{32} - 294 q^{33} - 216 q^{36} + 136 q^{37} + 114 q^{38} + 126 q^{40} + 1992 q^{41} + 1698 q^{42} - 2 q^{43} + 1134 q^{45} - 952 q^{46} + 3462 q^{47} + 4326 q^{48} + 666 q^{50} - 2496 q^{51} - 242 q^{52} + 284 q^{55} - 7128 q^{56} - 2544 q^{57} + 534 q^{58} + 1818 q^{60} + 32 q^{61} - 4038 q^{63} - 2094 q^{65} + 2892 q^{66} + 610 q^{67} - 2694 q^{68} + 498 q^{70} - 1854 q^{72} - 8 q^{73} - 6408 q^{75} + 1368 q^{76} - 6486 q^{77} + 1434 q^{78} + 3012 q^{81} - 3784 q^{82} + 2814 q^{83} - 1658 q^{85} + 12480 q^{86} + 4830 q^{87} - 1338 q^{88} + 13914 q^{90} + 992 q^{91} + 13152 q^{92} + 8310 q^{93} + 4284 q^{95} - 7932 q^{96} + 358 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.15194 + 4.29910i 0.407272 + 1.51996i 0.799826 + 0.600232i \(0.204925\pi\)
−0.392553 + 0.919729i \(0.628408\pi\)
\(3\) −2.52446 + 4.54171i −0.485832 + 0.874052i
\(4\) −10.2271 + 5.90461i −1.27839 + 0.738077i
\(5\) 10.7022 3.23468i 0.957233 0.289319i
\(6\) −22.4333 5.62113i −1.52639 0.382469i
\(7\) −7.13532 + 1.91190i −0.385271 + 0.103233i −0.446255 0.894906i \(-0.647243\pi\)
0.0609842 + 0.998139i \(0.480576\pi\)
\(8\) −11.9883 11.9883i −0.529811 0.529811i
\(9\) −14.2542 22.9307i −0.527934 0.849286i
\(10\) 26.2345 + 42.2836i 0.829608 + 1.33713i
\(11\) −7.55654 4.36277i −0.207126 0.119584i 0.392849 0.919603i \(-0.371489\pi\)
−0.599975 + 0.800019i \(0.704823\pi\)
\(12\) −0.999152 61.3544i −0.0240359 1.47596i
\(13\) 73.7842 + 19.7704i 1.57416 + 0.421794i 0.937111 0.349030i \(-0.113489\pi\)
0.637047 + 0.770825i \(0.280156\pi\)
\(14\) −16.4389 28.4731i −0.313821 0.543553i
\(15\) −12.3263 + 56.7720i −0.212175 + 0.977232i
\(16\) −9.50797 + 16.4683i −0.148562 + 0.257317i
\(17\) −5.92131 + 5.92131i −0.0844782 + 0.0844782i −0.748083 0.663605i \(-0.769026\pi\)
0.663605 + 0.748083i \(0.269026\pi\)
\(18\) 82.1614 87.6951i 1.07587 1.14833i
\(19\) 106.718i 1.28857i 0.764787 + 0.644284i \(0.222844\pi\)
−0.764787 + 0.644284i \(0.777156\pi\)
\(20\) −90.3527 + 96.2737i −1.01017 + 1.07637i
\(21\) 9.32953 37.2331i 0.0969462 0.386901i
\(22\) 10.0513 37.5120i 0.0974066 0.363526i
\(23\) 27.4553 102.465i 0.248906 0.928930i −0.722474 0.691398i \(-0.756995\pi\)
0.971380 0.237531i \(-0.0763383\pi\)
\(24\) 84.7110 24.1833i 0.720482 0.205683i
\(25\) 104.074 69.2363i 0.832589 0.553891i
\(26\) 339.980i 2.56445i
\(27\) 140.129 6.85080i 0.998807 0.0488310i
\(28\) 61.6846 61.6846i 0.416332 0.416332i
\(29\) 85.3380 147.810i 0.546444 0.946469i −0.452070 0.891982i \(-0.649314\pi\)
0.998515 0.0544866i \(-0.0173522\pi\)
\(30\) −258.268 + 12.4061i −1.57177 + 0.0755014i
\(31\) −157.999 273.662i −0.915400 1.58552i −0.806315 0.591487i \(-0.798541\pi\)
−0.109085 0.994032i \(-0.534792\pi\)
\(32\) −212.761 57.0093i −1.17535 0.314935i
\(33\) 38.8906 23.3059i 0.205151 0.122941i
\(34\) −32.2773 18.6353i −0.162809 0.0939979i
\(35\) −70.1792 + 43.5421i −0.338927 + 0.210284i
\(36\) 281.176 + 150.349i 1.30174 + 0.696060i
\(37\) −31.7091 31.7091i −0.140890 0.140890i 0.633144 0.774034i \(-0.281764\pi\)
−0.774034 + 0.633144i \(0.781764\pi\)
\(38\) −458.791 + 122.933i −1.95857 + 0.524798i
\(39\) −276.057 + 285.197i −1.13345 + 1.17097i
\(40\) −167.079 89.5224i −0.660437 0.353868i
\(41\) 298.272 172.207i 1.13615 0.655958i 0.190677 0.981653i \(-0.438932\pi\)
0.945475 + 0.325695i \(0.105598\pi\)
\(42\) 170.816 2.78172i 0.627558 0.0102197i
\(43\) 115.545 + 431.220i 0.409778 + 1.52931i 0.795070 + 0.606517i \(0.207434\pi\)
−0.385292 + 0.922795i \(0.625899\pi\)
\(44\) 103.042 0.353049
\(45\) −226.725 199.301i −0.751070 0.660223i
\(46\) 472.133 1.51331
\(47\) −60.9929 227.629i −0.189292 0.706448i −0.993671 0.112331i \(-0.964168\pi\)
0.804379 0.594117i \(-0.202498\pi\)
\(48\) −50.7917 84.7559i −0.152732 0.254864i
\(49\) −249.789 + 144.216i −0.728249 + 0.420454i
\(50\) 417.541 + 367.667i 1.18098 + 1.03992i
\(51\) −11.9448 41.8410i −0.0327961 0.114881i
\(52\) −871.335 + 233.473i −2.32370 + 0.622633i
\(53\) −60.5508 60.5508i −0.156930 0.156930i 0.624275 0.781205i \(-0.285395\pi\)
−0.781205 + 0.624275i \(0.785395\pi\)
\(54\) 190.872 + 594.536i 0.481008 + 1.49826i
\(55\) −94.9837 22.2482i −0.232865 0.0545445i
\(56\) 108.460 + 62.6197i 0.258815 + 0.149427i
\(57\) −484.682 269.405i −1.12627 0.626028i
\(58\) 733.754 + 196.609i 1.66115 + 0.445103i
\(59\) −25.4427 44.0680i −0.0561416 0.0972401i 0.836589 0.547831i \(-0.184546\pi\)
−0.892730 + 0.450591i \(0.851213\pi\)
\(60\) −209.155 653.395i −0.450030 1.40588i
\(61\) −36.1174 + 62.5572i −0.0758092 + 0.131305i −0.901438 0.432909i \(-0.857487\pi\)
0.825629 + 0.564214i \(0.190821\pi\)
\(62\) 994.494 994.494i 2.03711 2.03711i
\(63\) 145.550 + 136.365i 0.291072 + 0.272705i
\(64\) 828.227i 1.61763i
\(65\) 853.604 27.0816i 1.62887 0.0516779i
\(66\) 144.994 + 140.347i 0.270418 + 0.261751i
\(67\) 4.59668 17.1550i 0.00838169 0.0312809i −0.961608 0.274426i \(-0.911512\pi\)
0.969990 + 0.243145i \(0.0781790\pi\)
\(68\) 25.5947 95.5208i 0.0456444 0.170347i
\(69\) 396.055 + 383.362i 0.691006 + 0.668861i
\(70\) −268.034 251.549i −0.457660 0.429513i
\(71\) 109.592i 0.183185i −0.995797 0.0915927i \(-0.970804\pi\)
0.995797 0.0915927i \(-0.0291958\pi\)
\(72\) −104.016 + 445.782i −0.170256 + 0.729666i
\(73\) −144.319 + 144.319i −0.231387 + 0.231387i −0.813271 0.581885i \(-0.802315\pi\)
0.581885 + 0.813271i \(0.302315\pi\)
\(74\) 99.7935 172.847i 0.156767 0.271529i
\(75\) 51.7214 + 647.456i 0.0796303 + 0.996824i
\(76\) −630.128 1091.41i −0.951062 1.64729i
\(77\) 62.2595 + 16.6824i 0.0921446 + 0.0246901i
\(78\) −1544.09 858.266i −2.24146 1.24589i
\(79\) −140.624 81.1891i −0.200271 0.115626i 0.396511 0.918030i \(-0.370221\pi\)
−0.596782 + 0.802404i \(0.703554\pi\)
\(80\) −48.4864 + 207.002i −0.0677619 + 0.289294i
\(81\) −322.635 + 653.718i −0.442572 + 0.896733i
\(82\) 1083.93 + 1083.93i 1.45975 + 1.45975i
\(83\) 279.860 74.9883i 0.370104 0.0991691i −0.0689728 0.997619i \(-0.521972\pi\)
0.439077 + 0.898449i \(0.355306\pi\)
\(84\) 124.433 + 435.873i 0.161628 + 0.566163i
\(85\) −44.2174 + 82.5245i −0.0564242 + 0.105306i
\(86\) −1720.76 + 993.479i −2.15760 + 1.24569i
\(87\) 455.877 + 760.720i 0.561783 + 0.937446i
\(88\) 38.2877 + 142.892i 0.0463805 + 0.173094i
\(89\) −1107.89 −1.31950 −0.659751 0.751484i \(-0.729338\pi\)
−0.659751 + 0.751484i \(0.729338\pi\)
\(90\) 595.641 1204.30i 0.697624 1.41049i
\(91\) −564.273 −0.650021
\(92\) 324.227 + 1210.03i 0.367423 + 1.37124i
\(93\) 1641.75 26.7358i 1.83056 0.0298105i
\(94\) 908.339 524.430i 0.996681 0.575434i
\(95\) 345.199 + 1142.12i 0.372807 + 1.23346i
\(96\) 796.027 822.383i 0.846294 0.874314i
\(97\) −197.725 + 52.9802i −0.206968 + 0.0554569i −0.360813 0.932638i \(-0.617501\pi\)
0.153845 + 0.988095i \(0.450834\pi\)
\(98\) −907.741 907.741i −0.935670 0.935670i
\(99\) 7.67108 + 235.465i 0.00778760 + 0.239041i
\(100\) −655.557 + 1322.60i −0.655557 + 1.32260i
\(101\) −960.085 554.305i −0.945862 0.546093i −0.0540686 0.998537i \(-0.517219\pi\)
−0.891793 + 0.452444i \(0.850552\pi\)
\(102\) 166.119 99.5500i 0.161257 0.0966364i
\(103\) −276.457 74.0766i −0.264468 0.0708639i 0.124148 0.992264i \(-0.460380\pi\)
−0.388616 + 0.921400i \(0.627047\pi\)
\(104\) −647.531 1121.56i −0.610535 1.05748i
\(105\) −20.5908 428.653i −0.0191377 0.398403i
\(106\) 190.563 330.065i 0.174614 0.302441i
\(107\) −864.028 + 864.028i −0.780643 + 0.780643i −0.979939 0.199296i \(-0.936134\pi\)
0.199296 + 0.979939i \(0.436134\pi\)
\(108\) −1392.66 + 897.470i −1.24082 + 0.799621i
\(109\) 990.712i 0.870578i −0.900291 0.435289i \(-0.856646\pi\)
0.900291 0.435289i \(-0.143354\pi\)
\(110\) −13.7683 433.973i −0.0119342 0.376161i
\(111\) 224.062 63.9651i 0.191595 0.0546964i
\(112\) 36.3567 135.685i 0.0306730 0.114473i
\(113\) 19.6119 73.1927i 0.0163269 0.0609327i −0.957282 0.289157i \(-0.906625\pi\)
0.973609 + 0.228224i \(0.0732918\pi\)
\(114\) 599.875 2394.03i 0.492837 1.96686i
\(115\) −37.6085 1185.41i −0.0304957 0.961215i
\(116\) 2015.55i 1.61327i
\(117\) −598.386 1973.74i −0.472827 1.55959i
\(118\) 160.144 160.144i 0.124936 0.124936i
\(119\) 30.9295 53.5714i 0.0238261 0.0412679i
\(120\) 828.368 532.827i 0.630161 0.405335i
\(121\) −627.432 1086.74i −0.471399 0.816488i
\(122\) −310.545 83.2102i −0.230454 0.0617500i
\(123\) 29.1401 + 1789.39i 0.0213616 + 1.31174i
\(124\) 3231.73 + 1865.84i 2.34047 + 1.35127i
\(125\) 889.859 1077.63i 0.636731 0.771086i
\(126\) −418.584 + 782.818i −0.295956 + 0.553484i
\(127\) 1084.18 + 1084.18i 0.757521 + 0.757521i 0.975871 0.218350i \(-0.0700674\pi\)
−0.218350 + 0.975871i \(0.570067\pi\)
\(128\) 1858.54 497.994i 1.28338 0.343882i
\(129\) −2250.16 563.825i −1.53578 0.384822i
\(130\) 1099.73 + 3638.53i 0.741942 + 2.45477i
\(131\) 1415.36 817.157i 0.943972 0.545003i 0.0527689 0.998607i \(-0.483195\pi\)
0.891203 + 0.453604i \(0.149862\pi\)
\(132\) −260.125 + 467.986i −0.171523 + 0.308583i
\(133\) −204.035 761.467i −0.133023 0.496448i
\(134\) 79.0463 0.0509594
\(135\) 1477.52 526.590i 0.941963 0.335716i
\(136\) 141.972 0.0895149
\(137\) 591.988 + 2209.33i 0.369175 + 1.37778i 0.861672 + 0.507465i \(0.169417\pi\)
−0.492497 + 0.870314i \(0.663916\pi\)
\(138\) −1191.88 + 2144.29i −0.735215 + 1.32271i
\(139\) −1895.18 + 1094.18i −1.15645 + 0.667678i −0.950451 0.310874i \(-0.899378\pi\)
−0.206001 + 0.978552i \(0.566045\pi\)
\(140\) 460.630 859.690i 0.278074 0.518979i
\(141\) 1187.80 + 297.627i 0.709437 + 0.177764i
\(142\) 471.146 126.243i 0.278435 0.0746063i
\(143\) −471.299 471.299i −0.275609 0.275609i
\(144\) 513.158 16.7179i 0.296967 0.00967471i
\(145\) 435.186 1857.93i 0.249243 1.06409i
\(146\) −786.687 454.194i −0.445936 0.257461i
\(147\) −24.4035 1498.54i −0.0136923 0.840797i
\(148\) 511.522 + 137.062i 0.284100 + 0.0761244i
\(149\) 311.430 + 539.412i 0.171230 + 0.296580i 0.938850 0.344326i \(-0.111892\pi\)
−0.767620 + 0.640905i \(0.778559\pi\)
\(150\) −2723.90 + 968.187i −1.48270 + 0.527014i
\(151\) −1009.02 + 1747.68i −0.543795 + 0.941881i 0.454887 + 0.890549i \(0.349680\pi\)
−0.998682 + 0.0513314i \(0.983654\pi\)
\(152\) 1279.36 1279.36i 0.682697 0.682697i
\(153\) 220.183 + 51.3763i 0.116345 + 0.0271472i
\(154\) 286.877i 0.150112i
\(155\) −2576.14 2417.70i −1.33497 1.25287i
\(156\) 1139.28 4546.74i 0.584715 2.33353i
\(157\) 182.444 680.891i 0.0927428 0.346121i −0.903925 0.427692i \(-0.859327\pi\)
0.996668 + 0.0815706i \(0.0259936\pi\)
\(158\) 187.050 698.080i 0.0941829 0.351495i
\(159\) 427.862 122.146i 0.213407 0.0609233i
\(160\) −2461.42 + 78.0916i −1.21620 + 0.0385855i
\(161\) 783.611i 0.383585i
\(162\) −3182.06 633.996i −1.54325 0.307478i
\(163\) −426.426 + 426.426i −0.204909 + 0.204909i −0.802100 0.597190i \(-0.796284\pi\)
0.597190 + 0.802100i \(0.296284\pi\)
\(164\) −2033.64 + 3522.36i −0.968294 + 1.67714i
\(165\) 340.827 375.223i 0.160808 0.177037i
\(166\) 644.765 + 1116.77i 0.301467 + 0.522155i
\(167\) 613.477 + 164.381i 0.284265 + 0.0761686i 0.398134 0.917327i \(-0.369658\pi\)
−0.113869 + 0.993496i \(0.536324\pi\)
\(168\) −558.204 + 334.515i −0.256348 + 0.153621i
\(169\) 3150.58 + 1818.99i 1.43404 + 0.827943i
\(170\) −405.717 95.0318i −0.183042 0.0428742i
\(171\) 2447.12 1521.18i 1.09436 0.680278i
\(172\) −3727.88 3727.88i −1.65260 1.65260i
\(173\) 686.713 184.004i 0.301791 0.0808646i −0.104746 0.994499i \(-0.533403\pi\)
0.406537 + 0.913634i \(0.366736\pi\)
\(174\) −2745.27 + 2836.16i −1.19608 + 1.23568i
\(175\) −610.226 + 693.003i −0.263593 + 0.299349i
\(176\) 143.695 82.9622i 0.0615420 0.0355313i
\(177\) 264.373 4.30529i 0.112268 0.00182828i
\(178\) −1276.22 4762.91i −0.537397 2.00559i
\(179\) 2690.52 1.12346 0.561730 0.827321i \(-0.310136\pi\)
0.561730 + 0.827321i \(0.310136\pi\)
\(180\) 3495.53 + 699.547i 1.44745 + 0.289673i
\(181\) 197.441 0.0810810 0.0405405 0.999178i \(-0.487092\pi\)
0.0405405 + 0.999178i \(0.487092\pi\)
\(182\) −650.009 2425.87i −0.264736 0.988007i
\(183\) −192.939 321.958i −0.0779371 0.130054i
\(184\) −1557.52 + 899.232i −0.624030 + 0.360284i
\(185\) −441.925 236.788i −0.175627 0.0941026i
\(186\) 2006.14 + 7027.26i 0.790846 + 2.77023i
\(187\) 70.5779 18.9113i 0.0275998 0.00739535i
\(188\) 1967.84 + 1967.84i 0.763402 + 0.763402i
\(189\) −986.766 + 316.795i −0.379771 + 0.121923i
\(190\) −4512.42 + 2799.69i −1.72298 + 1.06901i
\(191\) 306.085 + 176.718i 0.115956 + 0.0669470i 0.556856 0.830609i \(-0.312007\pi\)
−0.440900 + 0.897556i \(0.645341\pi\)
\(192\) 3761.56 + 2090.82i 1.41389 + 0.785897i
\(193\) 1387.59 + 371.803i 0.517517 + 0.138668i 0.508118 0.861287i \(-0.330341\pi\)
0.00939936 + 0.999956i \(0.497008\pi\)
\(194\) −455.534 789.008i −0.168585 0.291997i
\(195\) −2031.89 + 3945.18i −0.746188 + 1.44882i
\(196\) 1703.08 2949.82i 0.620655 1.07501i
\(197\) −2647.40 + 2647.40i −0.957458 + 0.957458i −0.999131 0.0416736i \(-0.986731\pi\)
0.0416736 + 0.999131i \(0.486731\pi\)
\(198\) −1003.45 + 304.220i −0.360162 + 0.109192i
\(199\) 3785.65i 1.34853i −0.738488 0.674266i \(-0.764460\pi\)
0.738488 0.674266i \(-0.235540\pi\)
\(200\) −2077.68 417.639i −0.734572 0.147658i
\(201\) 66.3090 + 64.1839i 0.0232690 + 0.0225233i
\(202\) 1277.05 4766.03i 0.444818 1.66008i
\(203\) −326.316 + 1217.83i −0.112822 + 0.421058i
\(204\) 369.215 + 357.382i 0.126717 + 0.122656i
\(205\) 2635.13 2807.81i 0.897781 0.956614i
\(206\) 1273.85i 0.430842i
\(207\) −2740.94 + 830.983i −0.920332 + 0.279021i
\(208\) −1027.12 + 1027.12i −0.342395 + 0.342395i
\(209\) 465.586 806.418i 0.154092 0.266895i
\(210\) 1819.10 582.305i 0.597763 0.191347i
\(211\) 676.890 + 1172.41i 0.220849 + 0.382521i 0.955066 0.296394i \(-0.0957840\pi\)
−0.734217 + 0.678915i \(0.762451\pi\)
\(212\) 976.788 + 261.730i 0.316444 + 0.0847908i
\(213\) 497.734 + 276.660i 0.160114 + 0.0889974i
\(214\) −4709.85 2719.24i −1.50448 0.868613i
\(215\) 2631.44 + 4241.25i 0.834711 + 1.34535i
\(216\) −1762.03 1597.77i −0.555050 0.503308i
\(217\) 1650.59 + 1650.59i 0.516355 + 0.516355i
\(218\) 4259.17 1141.24i 1.32325 0.354563i
\(219\) −291.126 1019.78i −0.0898288 0.314659i
\(220\) 1102.77 333.308i 0.337950 0.102144i
\(221\) −553.966 + 319.832i −0.168614 + 0.0973496i
\(222\) 533.098 + 889.579i 0.161168 + 0.268940i
\(223\) 508.185 + 1896.57i 0.152604 + 0.569525i 0.999299 + 0.0374461i \(0.0119222\pi\)
−0.846695 + 0.532079i \(0.821411\pi\)
\(224\) 1627.12 0.485341
\(225\) −3071.13 1399.57i −0.909963 0.414689i
\(226\) 337.255 0.0992648
\(227\) −816.800 3048.34i −0.238823 0.891301i −0.976388 0.216025i \(-0.930691\pi\)
0.737564 0.675277i \(-0.235976\pi\)
\(228\) 6547.62 106.627i 1.90187 0.0309718i
\(229\) 3455.23 1994.88i 0.997066 0.575656i 0.0896872 0.995970i \(-0.471413\pi\)
0.907379 + 0.420314i \(0.138080\pi\)
\(230\) 5052.86 1527.20i 1.44859 0.437829i
\(231\) −232.938 + 240.651i −0.0663472 + 0.0685439i
\(232\) −2795.04 + 748.928i −0.790962 + 0.211937i
\(233\) −2166.38 2166.38i −0.609118 0.609118i 0.333598 0.942715i \(-0.391737\pi\)
−0.942715 + 0.333598i \(0.891737\pi\)
\(234\) 7795.98 4846.15i 2.17795 1.35386i
\(235\) −1389.06 2238.83i −0.385585 0.621470i
\(236\) 520.409 + 300.458i 0.143541 + 0.0828736i
\(237\) 723.736 433.713i 0.198362 0.118872i
\(238\) 265.938 + 71.2579i 0.0724294 + 0.0194074i
\(239\) −1946.01 3370.59i −0.526682 0.912239i −0.999517 0.0310884i \(-0.990103\pi\)
0.472835 0.881151i \(-0.343231\pi\)
\(240\) −817.740 742.779i −0.219937 0.199776i
\(241\) −3291.66 + 5701.33i −0.879812 + 1.52388i −0.0282647 + 0.999600i \(0.508998\pi\)
−0.851547 + 0.524278i \(0.824335\pi\)
\(242\) 3949.26 3949.26i 1.04904 1.04904i
\(243\) −2154.52 3115.60i −0.568775 0.822493i
\(244\) 853.037i 0.223812i
\(245\) −2206.80 + 2351.41i −0.575458 + 0.613169i
\(246\) −7659.22 + 2186.55i −1.98510 + 0.566705i
\(247\) −2109.86 + 7874.10i −0.543511 + 2.02841i
\(248\) −1386.60 + 5174.85i −0.355036 + 1.32501i
\(249\) −365.921 + 1460.35i −0.0931297 + 0.371670i
\(250\) 5657.88 + 2584.23i 1.43134 + 0.653765i
\(251\) 6323.18i 1.59010i −0.606543 0.795051i \(-0.707444\pi\)
0.606543 0.795051i \(-0.292556\pi\)
\(252\) −2293.74 535.206i −0.573380 0.133789i
\(253\) −654.497 + 654.497i −0.162640 + 0.162640i
\(254\) −3412.08 + 5909.89i −0.842885 + 1.45992i
\(255\) −263.177 409.152i −0.0646306 0.100479i
\(256\) 968.943 + 1678.26i 0.236558 + 0.409731i
\(257\) −1363.16 365.257i −0.330861 0.0886541i 0.0895642 0.995981i \(-0.471453\pi\)
−0.420426 + 0.907327i \(0.638119\pi\)
\(258\) −168.112 10323.2i −0.0405666 2.49106i
\(259\) 286.879 + 165.630i 0.0688255 + 0.0397364i
\(260\) −8569.98 + 5317.17i −2.04418 + 1.26829i
\(261\) −4605.81 + 150.050i −1.09231 + 0.0355857i
\(262\) 5143.45 + 5143.45i 1.21284 + 1.21284i
\(263\) 317.317 85.0248i 0.0743977 0.0199348i −0.221428 0.975177i \(-0.571072\pi\)
0.295826 + 0.955242i \(0.404405\pi\)
\(264\) −745.628 186.833i −0.173827 0.0435559i
\(265\) −843.889 452.164i −0.195621 0.104816i
\(266\) 3038.59 1754.33i 0.700405 0.404379i
\(267\) 2796.81 5031.70i 0.641057 1.15331i
\(268\) 54.2832 + 202.588i 0.0123727 + 0.0461754i
\(269\) 764.226 0.173218 0.0866091 0.996242i \(-0.472397\pi\)
0.0866091 + 0.996242i \(0.472397\pi\)
\(270\) 3965.88 + 5745.42i 0.893911 + 1.29502i
\(271\) 4645.09 1.04121 0.520607 0.853797i \(-0.325706\pi\)
0.520607 + 0.853797i \(0.325706\pi\)
\(272\) −41.2142 153.813i −0.00918742 0.0342879i
\(273\) 1424.49 2562.76i 0.315801 0.568152i
\(274\) −8816.19 + 5090.03i −1.94382 + 1.12226i
\(275\) −1088.50 + 69.1375i −0.238687 + 0.0151605i
\(276\) −6314.10 1582.13i −1.37704 0.345047i
\(277\) 5783.77 1549.76i 1.25456 0.336158i 0.430463 0.902608i \(-0.358350\pi\)
0.824096 + 0.566450i \(0.191684\pi\)
\(278\) −6887.13 6887.13i −1.48584 1.48584i
\(279\) −4023.11 + 7523.85i −0.863288 + 1.61448i
\(280\) 1363.32 + 319.333i 0.290978 + 0.0681563i
\(281\) 4201.11 + 2425.51i 0.891877 + 0.514925i 0.874556 0.484925i \(-0.161153\pi\)
0.0173209 + 0.999850i \(0.494486\pi\)
\(282\) 88.7415 + 5449.31i 0.0187393 + 1.15071i
\(283\) −345.530 92.5845i −0.0725782 0.0194473i 0.222347 0.974968i \(-0.428628\pi\)
−0.294925 + 0.955520i \(0.595295\pi\)
\(284\) 647.098 + 1120.81i 0.135205 + 0.234182i
\(285\) −6058.60 1315.43i −1.25923 0.273402i
\(286\) 1483.25 2569.07i 0.306667 0.531162i
\(287\) −1799.02 + 1799.02i −0.370010 + 0.370010i
\(288\) 1725.48 + 5691.39i 0.353039 + 1.16447i
\(289\) 4842.88i 0.985727i
\(290\) 8488.74 269.316i 1.71888 0.0545336i
\(291\) 258.528 1031.75i 0.0520796 0.207844i
\(292\) 623.814 2328.11i 0.125020 0.466582i
\(293\) −2206.15 + 8233.45i −0.439879 + 1.64165i 0.289236 + 0.957258i \(0.406599\pi\)
−0.729114 + 0.684392i \(0.760068\pi\)
\(294\) 6414.25 1831.14i 1.27240 0.363245i
\(295\) −414.838 389.325i −0.0818740 0.0768386i
\(296\) 760.273i 0.149290i
\(297\) −1088.78 559.581i −0.212718 0.109327i
\(298\) −1960.24 + 1960.24i −0.381052 + 0.381052i
\(299\) 4051.54 7017.48i 0.783635 1.35730i
\(300\) −4351.94 6316.20i −0.837531 1.21555i
\(301\) −1648.90 2855.98i −0.315751 0.546897i
\(302\) −8675.77 2324.67i −1.65310 0.442946i
\(303\) 4941.19 2961.10i 0.936844 0.561422i
\(304\) −1757.46 1014.67i −0.331570 0.191432i
\(305\) −184.183 + 786.327i −0.0345779 + 0.147623i
\(306\) 32.7665 + 1005.77i 0.00612137 + 0.187896i
\(307\) −6239.03 6239.03i −1.15987 1.15987i −0.984503 0.175367i \(-0.943889\pi\)
−0.175367 0.984503i \(-0.556111\pi\)
\(308\) −735.237 + 197.006i −0.136020 + 0.0364463i
\(309\) 1034.34 1068.59i 0.190426 0.196730i
\(310\) 7426.39 13860.1i 1.36062 2.53936i
\(311\) −1983.11 + 1144.95i −0.361582 + 0.208760i −0.669775 0.742565i \(-0.733609\pi\)
0.308192 + 0.951324i \(0.400276\pi\)
\(312\) 6728.45 109.572i 1.22091 0.0198824i
\(313\) 1583.94 + 5911.34i 0.286037 + 1.06750i 0.948079 + 0.318036i \(0.103023\pi\)
−0.662042 + 0.749467i \(0.730310\pi\)
\(314\) 3137.38 0.563862
\(315\) 1998.80 + 988.601i 0.357522 + 0.176830i
\(316\) 1917.56 0.341365
\(317\) 2327.37 + 8685.87i 0.412361 + 1.53895i 0.790064 + 0.613024i \(0.210047\pi\)
−0.377704 + 0.925927i \(0.623286\pi\)
\(318\) 1017.99 + 1698.72i 0.179516 + 0.299558i
\(319\) −1289.72 + 744.620i −0.226365 + 0.130692i
\(320\) −2679.05 8863.84i −0.468011 1.54845i
\(321\) −1742.96 6105.37i −0.303061 1.06158i
\(322\) −3368.82 + 902.673i −0.583035 + 0.156224i
\(323\) −631.910 631.910i −0.108856 0.108856i
\(324\) −560.337 8590.67i −0.0960797 1.47302i
\(325\) 9047.83 3050.97i 1.54426 0.520730i
\(326\) −2324.46 1342.03i −0.394909 0.228001i
\(327\) 4499.53 + 2501.01i 0.760931 + 0.422955i
\(328\) −5640.22 1511.29i −0.949479 0.254412i
\(329\) 870.409 + 1507.59i 0.145858 + 0.252633i
\(330\) 2005.74 + 1033.02i 0.334582 + 0.172320i
\(331\) 368.018 637.425i 0.0611120 0.105849i −0.833851 0.551990i \(-0.813869\pi\)
0.894963 + 0.446141i \(0.147202\pi\)
\(332\) −2419.38 + 2419.38i −0.399942 + 0.399942i
\(333\) −275.124 + 1179.10i −0.0452754 + 0.194037i
\(334\) 2826.75i 0.463093i
\(335\) −6.29655 198.465i −0.00102692 0.0323681i
\(336\) 524.460 + 507.652i 0.0851537 + 0.0824247i
\(337\) 1168.46 4360.75i 0.188873 0.704883i −0.804896 0.593417i \(-0.797779\pi\)
0.993768 0.111466i \(-0.0355546\pi\)
\(338\) −4190.74 + 15640.0i −0.674396 + 2.51688i
\(339\) 282.910 + 273.844i 0.0453262 + 0.0438736i
\(340\) −35.0598 1105.07i −0.00559231 0.176268i
\(341\) 2757.25i 0.437869i
\(342\) 9358.64 + 8768.10i 1.47970 + 1.38633i
\(343\) 3298.23 3298.23i 0.519207 0.519207i
\(344\) 3784.39 6554.76i 0.593141 1.02735i
\(345\) 5478.71 + 2821.70i 0.854968 + 0.440335i
\(346\) 1582.11 + 2740.29i 0.245822 + 0.425777i
\(347\) −3929.82 1052.99i −0.607964 0.162904i −0.0583140 0.998298i \(-0.518572\pi\)
−0.549651 + 0.835395i \(0.685239\pi\)
\(348\) −9154.05 5088.18i −1.41008 0.783779i
\(349\) −2120.49 1224.26i −0.325235 0.187775i 0.328489 0.944508i \(-0.393461\pi\)
−0.653724 + 0.756733i \(0.726794\pi\)
\(350\) −3682.23 1825.13i −0.562353 0.278735i
\(351\) 10474.7 + 2264.92i 1.59288 + 0.344424i
\(352\) 1359.02 + 1359.02i 0.205784 + 0.205784i
\(353\) −10497.9 + 2812.90i −1.58285 + 0.424123i −0.939807 0.341707i \(-0.888995\pi\)
−0.643043 + 0.765830i \(0.722328\pi\)
\(354\) 323.051 + 1131.61i 0.0485027 + 0.169899i
\(355\) −354.495 1172.87i −0.0529989 0.175351i
\(356\) 11330.5 6541.64i 1.68683 0.973894i
\(357\) 165.226 + 275.712i 0.0244949 + 0.0408745i
\(358\) 3099.32 + 11566.8i 0.457554 + 1.70762i
\(359\) 6928.63 1.01861 0.509303 0.860587i \(-0.329903\pi\)
0.509303 + 0.860587i \(0.329903\pi\)
\(360\) 328.763 + 5107.30i 0.0481315 + 0.747718i
\(361\) −4529.72 −0.660406
\(362\) 227.440 + 848.818i 0.0330221 + 0.123240i
\(363\) 6519.61 106.171i 0.942674 0.0153514i
\(364\) 5770.88 3331.82i 0.830978 0.479766i
\(365\) −1077.70 + 2011.35i −0.154546 + 0.288435i
\(366\) 1161.87 1200.34i 0.165935 0.171429i
\(367\) −9084.65 + 2434.22i −1.29214 + 0.346227i −0.838472 0.544944i \(-0.816551\pi\)
−0.453666 + 0.891172i \(0.649884\pi\)
\(368\) 1426.37 + 1426.37i 0.202051 + 0.202051i
\(369\) −8200.47 4384.91i −1.15691 0.618615i
\(370\) 508.903 2172.65i 0.0715043 0.305272i
\(371\) 547.817 + 316.282i 0.0766610 + 0.0442603i
\(372\) −16632.5 + 9967.34i −2.31816 + 1.38920i
\(373\) −5601.71 1500.97i −0.777602 0.208358i −0.151875 0.988400i \(-0.548531\pi\)
−0.625727 + 0.780042i \(0.715198\pi\)
\(374\) 162.603 + 281.637i 0.0224813 + 0.0389388i
\(375\) 2647.85 + 6761.90i 0.364625 + 0.931155i
\(376\) −1997.67 + 3460.07i −0.273995 + 0.474573i
\(377\) 9218.86 9218.86i 1.25940 1.25940i
\(378\) −2498.63 3877.28i −0.339989 0.527581i
\(379\) 6617.31i 0.896856i 0.893819 + 0.448428i \(0.148016\pi\)
−0.893819 + 0.448428i \(0.851984\pi\)
\(380\) −10274.1 9642.26i −1.38698 1.30168i
\(381\) −7660.97 + 2187.05i −1.03014 + 0.294084i
\(382\) −407.137 + 1519.46i −0.0545313 + 0.203514i
\(383\) 3218.73 12012.4i 0.429423 1.60263i −0.324646 0.945836i \(-0.605245\pi\)
0.754070 0.656795i \(-0.228088\pi\)
\(384\) −2430.06 + 9698.10i −0.322939 + 1.28881i
\(385\) 720.276 22.8516i 0.0953471 0.00302500i
\(386\) 6393.68i 0.843082i
\(387\) 8241.18 8796.23i 1.08249 1.15539i
\(388\) 1709.32 1709.32i 0.223654 0.223654i
\(389\) −4995.39 + 8652.28i −0.651096 + 1.12773i 0.331761 + 0.943364i \(0.392357\pi\)
−0.982857 + 0.184369i \(0.940976\pi\)
\(390\) −19301.4 4190.69i −2.50606 0.544112i
\(391\) 444.154 + 769.297i 0.0574471 + 0.0995014i
\(392\) 4723.43 + 1265.64i 0.608595 + 0.163073i
\(393\) 138.276 + 8491.02i 0.0177483 + 1.08986i
\(394\) −14431.1 8331.78i −1.84524 1.06535i
\(395\) −1767.60 414.029i −0.225159 0.0527393i
\(396\) −1468.78 2362.82i −0.186386 0.299839i
\(397\) 1248.70 + 1248.70i 0.157860 + 0.157860i 0.781618 0.623758i \(-0.214395\pi\)
−0.623758 + 0.781618i \(0.714395\pi\)
\(398\) 16274.9 4360.85i 2.04972 0.549220i
\(399\) 3973.44 + 995.628i 0.498548 + 0.124922i
\(400\) 150.674 + 2372.21i 0.0188343 + 0.296527i
\(401\) 7999.65 4618.60i 0.996218 0.575166i 0.0890905 0.996024i \(-0.471604\pi\)
0.907127 + 0.420857i \(0.138271\pi\)
\(402\) −199.549 + 359.005i −0.0247577 + 0.0445412i
\(403\) −6247.40 23315.6i −0.772221 2.88197i
\(404\) 13091.8 1.61224
\(405\) −1338.33 + 8039.84i −0.164203 + 0.986427i
\(406\) −5611.47 −0.685942
\(407\) 101.271 + 377.950i 0.0123338 + 0.0460302i
\(408\) −358.403 + 644.797i −0.0434892 + 0.0782407i
\(409\) 2817.50 1626.68i 0.340626 0.196661i −0.319923 0.947444i \(-0.603657\pi\)
0.660549 + 0.750783i \(0.270324\pi\)
\(410\) 15106.6 + 8094.24i 1.81966 + 0.974990i
\(411\) −11528.6 2888.73i −1.38361 0.346692i
\(412\) 3264.75 874.787i 0.390395 0.104606i
\(413\) 265.796 + 265.796i 0.0316681 + 0.0316681i
\(414\) −6729.89 10826.3i −0.798927 1.28523i
\(415\) 2752.55 1707.80i 0.325584 0.202006i
\(416\) −14571.3 8412.77i −1.71735 0.991514i
\(417\) −185.152 11369.6i −0.0217433 1.33518i
\(418\) 4003.20 + 1072.65i 0.468428 + 0.125515i
\(419\) −1840.03 3187.02i −0.214537 0.371590i 0.738592 0.674153i \(-0.235491\pi\)
−0.953129 + 0.302563i \(0.902158\pi\)
\(420\) 2741.62 + 4262.30i 0.318517 + 0.495188i
\(421\) −3430.26 + 5941.39i −0.397104 + 0.687804i −0.993367 0.114985i \(-0.963318\pi\)
0.596263 + 0.802789i \(0.296651\pi\)
\(422\) −4260.56 + 4260.56i −0.491472 + 0.491472i
\(423\) −4350.28 + 4643.28i −0.500043 + 0.533721i
\(424\) 1451.80i 0.166287i
\(425\) −206.283 + 1026.22i −0.0235440 + 0.117127i
\(426\) −616.030 + 2458.50i −0.0700628 + 0.279613i
\(427\) 138.106 515.419i 0.0156520 0.0584142i
\(428\) 3734.74 13938.3i 0.421789 1.57414i
\(429\) 3330.28 950.728i 0.374796 0.106997i
\(430\) −15202.3 + 16198.5i −1.70493 + 1.81665i
\(431\) 3116.28i 0.348273i −0.984722 0.174137i \(-0.944287\pi\)
0.984722 0.174137i \(-0.0557134\pi\)
\(432\) −1219.52 + 2372.82i −0.135820 + 0.264264i
\(433\) 526.507 526.507i 0.0584349 0.0584349i −0.677285 0.735720i \(-0.736844\pi\)
0.735720 + 0.677285i \(0.236844\pi\)
\(434\) −5194.66 + 8997.41i −0.574543 + 0.995137i
\(435\) 7339.56 + 6666.76i 0.808977 + 0.734820i
\(436\) 5849.77 + 10132.1i 0.642554 + 1.11294i
\(437\) 10934.8 + 2929.98i 1.19699 + 0.320732i
\(438\) 4048.77 2426.31i 0.441685 0.264688i
\(439\) 3213.40 + 1855.26i 0.349356 + 0.201701i 0.664401 0.747376i \(-0.268687\pi\)
−0.315046 + 0.949076i \(0.602020\pi\)
\(440\) 871.971 + 1405.41i 0.0944764 + 0.152273i
\(441\) 6867.52 + 3672.16i 0.741553 + 0.396519i
\(442\) −2013.13 2013.13i −0.216640 0.216640i
\(443\) −1898.77 + 508.773i −0.203641 + 0.0545655i −0.359198 0.933261i \(-0.616950\pi\)
0.155556 + 0.987827i \(0.450283\pi\)
\(444\) −1913.81 + 1977.17i −0.204562 + 0.211335i
\(445\) −11856.8 + 3583.66i −1.26307 + 0.381757i
\(446\) −7568.16 + 4369.48i −0.803504 + 0.463903i
\(447\) −3236.05 + 52.6987i −0.342415 + 0.00557621i
\(448\) 1583.49 + 5909.67i 0.166993 + 0.623226i
\(449\) −6556.48 −0.689131 −0.344565 0.938762i \(-0.611974\pi\)
−0.344565 + 0.938762i \(0.611974\pi\)
\(450\) 2479.16 14815.3i 0.259708 1.55200i
\(451\) −3005.20 −0.313768
\(452\) 231.602 + 864.350i 0.0241010 + 0.0899460i
\(453\) −5390.20 8994.62i −0.559059 0.932901i
\(454\) 12164.2 7023.01i 1.25748 0.726005i
\(455\) −6038.96 + 1825.24i −0.622222 + 0.188063i
\(456\) 2580.79 + 9040.18i 0.265036 + 0.928389i
\(457\) 12355.7 3310.69i 1.26471 0.338879i 0.436710 0.899603i \(-0.356144\pi\)
0.828003 + 0.560724i \(0.189477\pi\)
\(458\) 12556.4 + 12556.4i 1.28105 + 1.28105i
\(459\) −789.180 + 870.311i −0.0802522 + 0.0885025i
\(460\) 7383.99 + 11901.2i 0.748436 + 1.20630i
\(461\) −1996.02 1152.40i −0.201657 0.116427i 0.395771 0.918349i \(-0.370477\pi\)
−0.597428 + 0.801922i \(0.703811\pi\)
\(462\) −1302.91 724.210i −0.131206 0.0729292i
\(463\) −1195.40 320.306i −0.119989 0.0321509i 0.198325 0.980136i \(-0.436450\pi\)
−0.318314 + 0.947985i \(0.603117\pi\)
\(464\) 1622.78 + 2810.74i 0.162362 + 0.281219i
\(465\) 17483.9 5596.68i 1.74364 0.558150i
\(466\) 6817.95 11809.0i 0.677759 1.17391i
\(467\) 3769.54 3769.54i 0.373519 0.373519i −0.495238 0.868757i \(-0.664919\pi\)
0.868757 + 0.495238i \(0.164919\pi\)
\(468\) 17773.9 + 16652.3i 1.75555 + 1.64478i
\(469\) 131.195i 0.0129169i
\(470\) 8024.85 8550.73i 0.787572 0.839182i
\(471\) 2631.83 + 2547.49i 0.257470 + 0.249219i
\(472\) −223.285 + 833.312i −0.0217744 + 0.0812633i
\(473\) 1008.19 3762.63i 0.0980058 0.365763i
\(474\) 2698.28 + 2611.80i 0.261468 + 0.253089i
\(475\) 7388.76 + 11106.5i 0.713725 + 1.07285i
\(476\) 730.507i 0.0703419i
\(477\) −525.369 + 2251.58i −0.0504298 + 0.216127i
\(478\) 12248.8 12248.8i 1.17207 1.17207i
\(479\) −1205.53 + 2088.04i −0.114994 + 0.199175i −0.917777 0.397096i \(-0.870018\pi\)
0.802783 + 0.596271i \(0.203352\pi\)
\(480\) 5859.09 11376.2i 0.557145 1.08177i
\(481\) −1712.73 2966.53i −0.162357 0.281210i
\(482\) −28302.4 7583.60i −2.67456 0.716646i
\(483\) −3558.93 1978.19i −0.335273 0.186358i
\(484\) 12833.6 + 7409.49i 1.20526 + 0.695858i
\(485\) −1944.71 + 1206.58i −0.182072 + 0.112965i
\(486\) 10912.4 12851.5i 1.01851 1.19950i
\(487\) −13278.0 13278.0i −1.23549 1.23549i −0.961825 0.273666i \(-0.911764\pi\)
−0.273666 0.961825i \(-0.588236\pi\)
\(488\) 1182.94 316.967i 0.109732 0.0294025i
\(489\) −860.207 3013.20i −0.0795499 0.278653i
\(490\) −12651.1 6778.56i −1.16636 0.624947i
\(491\) −4882.30 + 2818.80i −0.448748 + 0.259085i −0.707301 0.706912i \(-0.750088\pi\)
0.258553 + 0.965997i \(0.416754\pi\)
\(492\) −10863.7 18128.2i −0.995474 1.66115i
\(493\) 369.915 + 1380.54i 0.0337934 + 0.126119i
\(494\) −36282.0 −3.30446
\(495\) 843.750 + 2495.17i 0.0766136 + 0.226565i
\(496\) 6008.99 0.543975
\(497\) 209.529 + 781.973i 0.0189108 + 0.0705760i
\(498\) −6699.70 + 109.104i −0.602853 + 0.00981741i
\(499\) 5518.24 3185.96i 0.495051 0.285818i −0.231617 0.972807i \(-0.574402\pi\)
0.726667 + 0.686990i \(0.241068\pi\)
\(500\) −2737.70 + 16275.2i −0.244868 + 1.45570i
\(501\) −2295.27 + 2371.26i −0.204680 + 0.211457i
\(502\) 27184.0 7283.92i 2.41689 0.647604i
\(503\) 5861.56 + 5861.56i 0.519591 + 0.519591i 0.917448 0.397857i \(-0.130246\pi\)
−0.397857 + 0.917448i \(0.630246\pi\)
\(504\) −110.104 3379.67i −0.00973104 0.298695i
\(505\) −12068.0 2826.71i −1.06340 0.249083i
\(506\) −3567.69 2059.81i −0.313445 0.180968i
\(507\) −16214.8 + 9717.06i −1.42037 + 0.851183i
\(508\) −17489.6 4686.33i −1.52751 0.409296i
\(509\) −10716.8 18562.0i −0.933228 1.61640i −0.777763 0.628557i \(-0.783646\pi\)
−0.155465 0.987841i \(-0.549688\pi\)
\(510\) 1455.82 1602.74i 0.126402 0.139158i
\(511\) 753.837 1305.68i 0.0652598 0.113033i
\(512\) 4785.52 4785.52i 0.413070 0.413070i
\(513\) 731.103 + 14954.3i 0.0629220 + 1.28703i
\(514\) 6281.10i 0.539003i
\(515\) −3198.31 + 101.470i −0.273659 + 0.00868218i
\(516\) 26341.8 7520.05i 2.24735 0.641573i
\(517\) −532.196 + 1986.18i −0.0452727 + 0.168960i
\(518\) −381.591 + 1424.12i −0.0323671 + 0.120796i
\(519\) −897.886 + 3583.36i −0.0759399 + 0.303068i
\(520\) −10557.9 9908.55i −0.890372 0.835613i
\(521\) 18398.8i 1.54715i 0.633703 + 0.773577i \(0.281534\pi\)
−0.633703 + 0.773577i \(0.718466\pi\)
\(522\) −5950.70 19628.0i −0.498956 1.64577i
\(523\) −12039.3 + 12039.3i −1.00658 + 1.00658i −0.00659910 + 0.999978i \(0.502101\pi\)
−0.999978 + 0.00659910i \(0.997899\pi\)
\(524\) −9649.99 + 16714.3i −0.804508 + 1.39345i
\(525\) −1606.92 4520.93i −0.133585 0.375827i
\(526\) 731.060 + 1266.23i 0.0606003 + 0.104963i
\(527\) 2555.99 + 684.877i 0.211273 + 0.0566104i
\(528\) 14.0385 + 862.054i 0.00115709 + 0.0710532i
\(529\) 791.700 + 457.088i 0.0650695 + 0.0375679i
\(530\) 971.787 4148.83i 0.0796448 0.340026i
\(531\) −647.846 + 1211.57i −0.0529456 + 0.0990166i
\(532\) 6582.85 + 6582.85i 0.536471 + 0.536471i
\(533\) 25412.4 6809.22i 2.06516 0.553359i
\(534\) 24853.5 + 6227.57i 2.01408 + 0.504669i
\(535\) −6452.14 + 12041.9i −0.521402 + 0.973112i
\(536\) −260.765 + 150.553i −0.0210137 + 0.0121322i
\(537\) −6792.12 + 12219.6i −0.545813 + 0.981962i
\(538\) 880.343 + 3285.49i 0.0705470 + 0.263285i
\(539\) 2516.72 0.201119
\(540\) −12001.5 + 14109.7i −0.956409 + 1.12442i
\(541\) 11737.9 0.932811 0.466405 0.884571i \(-0.345549\pi\)
0.466405 + 0.884571i \(0.345549\pi\)
\(542\) 5350.86 + 19969.7i 0.424058 + 1.58260i
\(543\) −498.431 + 896.719i −0.0393918 + 0.0708690i
\(544\) 1597.40 922.257i 0.125897 0.0726865i
\(545\) −3204.64 10602.8i −0.251875 0.833346i
\(546\) 12658.5 + 3171.85i 0.992187 + 0.248613i
\(547\) −8392.40 + 2248.74i −0.656002 + 0.175775i −0.571441 0.820643i \(-0.693615\pi\)
−0.0845610 + 0.996418i \(0.526949\pi\)
\(548\) −19099.6 19099.6i −1.48886 1.48886i
\(549\) 1949.31 63.5054i 0.151538 0.00493687i
\(550\) −1551.11 4599.92i −0.120254 0.356621i
\(551\) 15774.0 + 9107.10i 1.21959 + 0.704130i
\(552\) −152.164 9343.85i −0.0117328 0.720472i
\(553\) 1158.62 + 310.452i 0.0890951 + 0.0238730i
\(554\) 13325.1 + 23079.8i 1.02189 + 1.76997i
\(555\) 2191.04 1409.33i 0.167576 0.107789i
\(556\) 12921.4 22380.6i 0.985595 1.70710i
\(557\) −3736.22 + 3736.22i −0.284217 + 0.284217i −0.834788 0.550571i \(-0.814410\pi\)
0.550571 + 0.834788i \(0.314410\pi\)
\(558\) −36980.2 8628.73i −2.80555 0.654629i
\(559\) 34101.6i 2.58022i
\(560\) −49.8015 1569.73i −0.00375803 0.118452i
\(561\) −92.2815 + 368.285i −0.00694497 + 0.0277166i
\(562\) −5588.10 + 20855.1i −0.419430 + 1.56533i
\(563\) −2537.76 + 9471.07i −0.189972 + 0.708984i 0.803540 + 0.595251i \(0.202947\pi\)
−0.993511 + 0.113733i \(0.963719\pi\)
\(564\) −13905.1 + 3969.62i −1.03814 + 0.296367i
\(565\) −26.8645 846.761i −0.00200035 0.0630504i
\(566\) 1592.12i 0.118236i
\(567\) 1052.26 5281.34i 0.0779377 0.391174i
\(568\) −1313.81 + 1313.81i −0.0970536 + 0.0970536i
\(569\) 5188.49 8986.72i 0.382272 0.662114i −0.609115 0.793082i \(-0.708475\pi\)
0.991387 + 0.130968i \(0.0418084\pi\)
\(570\) −1323.96 27561.8i −0.0972886 2.02533i
\(571\) 2372.48 + 4109.26i 0.173880 + 0.301168i 0.939773 0.341799i \(-0.111036\pi\)
−0.765893 + 0.642968i \(0.777703\pi\)
\(572\) 7602.86 + 2037.18i 0.555755 + 0.148914i
\(573\) −1575.30 + 944.030i −0.114850 + 0.0688262i
\(574\) −9806.54 5661.81i −0.713096 0.411706i
\(575\) −4236.90 12564.8i −0.307289 0.911284i
\(576\) −18991.8 + 11805.7i −1.37383 + 0.854002i
\(577\) 2575.02 + 2575.02i 0.185788 + 0.185788i 0.793872 0.608085i \(-0.208062\pi\)
−0.608085 + 0.793872i \(0.708062\pi\)
\(578\) −20820.0 + 5578.70i −1.49827 + 0.401459i
\(579\) −5191.53 + 5363.42i −0.372630 + 0.384967i
\(580\) 6519.67 + 21570.8i 0.466749 + 1.54428i
\(581\) −1853.52 + 1070.13i −0.132353 + 0.0764140i
\(582\) 4733.42 77.0834i 0.337125 0.00549005i
\(583\) 193.385 + 721.724i 0.0137379 + 0.0512706i
\(584\) 3460.26 0.245182
\(585\) −12788.4 19187.7i −0.903824 1.35609i
\(586\) −37937.8 −2.67439
\(587\) −2355.29 8790.07i −0.165610 0.618067i −0.997962 0.0638179i \(-0.979672\pi\)
0.832351 0.554249i \(-0.186994\pi\)
\(588\) 9097.86 + 15181.6i 0.638077 + 1.06476i
\(589\) 29204.6 16861.3i 2.04305 1.17955i
\(590\) 1195.88 2231.91i 0.0834467 0.155740i
\(591\) −5340.45 18706.9i −0.371704 1.30203i
\(592\) 823.683 220.705i 0.0571844 0.0153225i
\(593\) −9619.29 9619.29i −0.666133 0.666133i 0.290686 0.956819i \(-0.406117\pi\)
−0.956819 + 0.290686i \(0.906117\pi\)
\(594\) 1151.49 5325.36i 0.0795390 0.367849i
\(595\) 157.727 673.379i 0.0108675 0.0463964i
\(596\) −6370.05 3677.75i −0.437797 0.252762i
\(597\) 17193.3 + 9556.73i 1.17869 + 0.655161i
\(598\) 34836.0 + 9334.27i 2.38219 + 0.638306i
\(599\) 339.119 + 587.372i 0.0231320 + 0.0400657i 0.877360 0.479833i \(-0.159303\pi\)
−0.854228 + 0.519899i \(0.825970\pi\)
\(600\) 7141.82 8381.92i 0.485940 0.570317i
\(601\) −4560.19 + 7898.48i −0.309508 + 0.536083i −0.978255 0.207407i \(-0.933498\pi\)
0.668747 + 0.743490i \(0.266831\pi\)
\(602\) 10378.7 10378.7i 0.702666 0.702666i
\(603\) −458.899 + 139.126i −0.0309914 + 0.00939579i
\(604\) 23831.5i 1.60545i
\(605\) −10230.2 9601.01i −0.687464 0.645184i
\(606\) 18422.0 + 17831.6i 1.23489 + 1.19532i
\(607\) −3566.69 + 13311.1i −0.238497 + 0.890082i 0.738045 + 0.674752i \(0.235749\pi\)
−0.976541 + 0.215330i \(0.930917\pi\)
\(608\) 6083.91 22705.5i 0.405815 1.51452i
\(609\) −4707.25 4556.39i −0.313214 0.303176i
\(610\) −3592.67 + 113.982i −0.238464 + 0.00756555i
\(611\) 18001.3i 1.19190i
\(612\) −2555.19 + 774.669i −0.168771 + 0.0511669i
\(613\) 7501.39 7501.39i 0.494255 0.494255i −0.415389 0.909644i \(-0.636355\pi\)
0.909644 + 0.415389i \(0.136355\pi\)
\(614\) 19635.2 34009.2i 1.29057 2.23534i
\(615\) 6099.98 + 19056.2i 0.399959 + 1.24946i
\(616\) −546.390 946.376i −0.0357381 0.0619003i
\(617\) 21447.4 + 5746.81i 1.39942 + 0.374972i 0.878135 0.478413i \(-0.158788\pi\)
0.521281 + 0.853385i \(0.325454\pi\)
\(618\) 5785.46 + 3215.78i 0.376578 + 0.209317i
\(619\) 6003.77 + 3466.28i 0.389841 + 0.225075i 0.682091 0.731267i \(-0.261071\pi\)
−0.292250 + 0.956342i \(0.594404\pi\)
\(620\) 40622.0 + 9514.97i 2.63132 + 0.616339i
\(621\) 3145.32 14546.3i 0.203248 0.939976i
\(622\) −7206.69 7206.69i −0.464569 0.464569i
\(623\) 7905.13 2118.17i 0.508366 0.136216i
\(624\) −2071.96 7257.82i −0.132924 0.465618i
\(625\) 6037.66 14411.4i 0.386410 0.922327i
\(626\) −23588.8 + 13619.0i −1.50607 + 0.869529i
\(627\) 2487.16 + 4150.33i 0.158417 + 0.264351i
\(628\) 2154.52 + 8040.79i 0.136903 + 0.510928i
\(629\) 375.519 0.0238043
\(630\) −1947.60 + 9731.85i −0.123165 + 0.615438i
\(631\) 5174.87 0.326479 0.163239 0.986586i \(-0.447806\pi\)
0.163239 + 0.986586i \(0.447806\pi\)
\(632\) 712.516 + 2659.15i 0.0448455 + 0.167366i
\(633\) −7033.52 + 114.540i −0.441639 + 0.00719205i
\(634\) −34660.5 + 20011.2i −2.17120 + 1.25354i
\(635\) 15110.0 + 8096.10i 0.944288 + 0.505959i
\(636\) −3654.56 + 3775.56i −0.227850 + 0.235394i
\(637\) −21281.7 + 5702.42i −1.32372 + 0.354691i
\(638\) −4686.88 4686.88i −0.290839 0.290839i
\(639\) −2513.02 + 1562.15i −0.155577 + 0.0967097i
\(640\) 18279.6 11341.4i 1.12901 0.700482i
\(641\) 1800.01 + 1039.24i 0.110914 + 0.0640365i 0.554431 0.832230i \(-0.312936\pi\)
−0.443517 + 0.896266i \(0.646269\pi\)
\(642\) 24239.8 14526.2i 1.49014 0.892995i
\(643\) 8982.29 + 2406.80i 0.550898 + 0.147613i 0.523521 0.852013i \(-0.324618\pi\)
0.0273763 + 0.999625i \(0.491285\pi\)
\(644\) −4626.92 8014.06i −0.283115 0.490370i
\(645\) −25905.5 + 1244.39i −1.58144 + 0.0759658i
\(646\) 1988.72 3444.57i 0.121123 0.209791i
\(647\) −12361.4 + 12361.4i −0.751125 + 0.751125i −0.974689 0.223564i \(-0.928231\pi\)
0.223564 + 0.974689i \(0.428231\pi\)
\(648\) 11704.8 3969.11i 0.709578 0.240619i
\(649\) 444.002i 0.0268546i
\(650\) 23539.0 + 35383.0i 1.42042 + 2.13513i
\(651\) −11663.3 + 3329.64i −0.702184 + 0.200459i
\(652\) 1843.22 6878.98i 0.110715 0.413192i
\(653\) −7383.03 + 27553.8i −0.442450 + 1.65125i 0.280131 + 0.959962i \(0.409622\pi\)
−0.722581 + 0.691286i \(0.757045\pi\)
\(654\) −5568.92 + 22224.9i −0.332969 + 1.32884i
\(655\) 12504.2 13323.6i 0.745922 0.794803i
\(656\) 6549.37i 0.389802i
\(657\) 5366.48 + 1252.18i 0.318670 + 0.0743565i
\(658\) −5478.63 + 5478.63i −0.324589 + 0.324589i
\(659\) 5594.17 9689.39i 0.330680 0.572754i −0.651966 0.758249i \(-0.726055\pi\)
0.982645 + 0.185494i \(0.0593887\pi\)
\(660\) −1270.12 + 5849.90i −0.0749082 + 0.345010i
\(661\) −12520.6 21686.4i −0.736757 1.27610i −0.953948 0.299972i \(-0.903023\pi\)
0.217190 0.976129i \(-0.430311\pi\)
\(662\) 3164.29 + 847.869i 0.185776 + 0.0497785i
\(663\) −54.1206 3323.36i −0.00317024 0.194673i
\(664\) −4254.01 2456.06i −0.248626 0.143544i
\(665\) −4646.72 7489.38i −0.270966 0.436730i
\(666\) −5385.99 + 175.467i −0.313368 + 0.0102090i
\(667\) −12802.3 12802.3i −0.743190 0.743190i
\(668\) −7244.69 + 1941.21i −0.419619 + 0.112437i
\(669\) −9896.58 2479.79i −0.571934 0.143310i
\(670\) 845.968 255.689i 0.0487800 0.0147435i
\(671\) 545.845 315.144i 0.0314040 0.0181311i
\(672\) −4107.59 + 7389.90i −0.235794 + 0.424213i
\(673\) −4660.65 17393.8i −0.266946 0.996257i −0.961048 0.276381i \(-0.910865\pi\)
0.694102 0.719877i \(-0.255802\pi\)
\(674\) 20093.3 1.14832
\(675\) 14109.4 10415.0i 0.804549 0.593886i
\(676\) −42961.7 −2.44434
\(677\) −5566.38 20774.0i −0.316002 1.17934i −0.923053 0.384673i \(-0.874314\pi\)
0.607051 0.794663i \(-0.292352\pi\)
\(678\) −851.386 + 1531.71i −0.0482261 + 0.0867626i
\(679\) 1309.54 756.062i 0.0740139 0.0427319i
\(680\) 1519.41 459.235i 0.0856866 0.0258983i
\(681\) 15906.6 + 3985.74i 0.895072 + 0.224279i
\(682\) −11853.7 + 3176.18i −0.665544 + 0.178332i
\(683\) −4348.95 4348.95i −0.243643 0.243643i 0.574713 0.818355i \(-0.305114\pi\)
−0.818355 + 0.574713i \(0.805114\pi\)
\(684\) −16044.9 + 30006.5i −0.896920 + 1.67738i
\(685\) 13482.0 + 21729.8i 0.752003 + 1.21205i
\(686\) 17978.8 + 10380.1i 1.00063 + 0.577715i
\(687\) 337.564 + 20728.6i 0.0187465 + 1.15116i
\(688\) −8200.05 2197.20i −0.454395 0.121755i
\(689\) −3270.58 5664.81i −0.180841 0.313225i
\(690\) −5819.64 + 26804.0i −0.321087 + 1.47885i
\(691\) 7927.92 13731.6i 0.436458 0.755967i −0.560955 0.827846i \(-0.689566\pi\)
0.997413 + 0.0718787i \(0.0228994\pi\)
\(692\) −5936.61 + 5936.61i −0.326121 + 0.326121i
\(693\) −504.921 1665.45i −0.0276773 0.0912918i
\(694\) 18107.7i 0.990429i
\(695\) −16743.2 + 17840.4i −0.913822 + 0.973706i
\(696\) 3654.54 14584.9i 0.199030 0.794308i
\(697\) −746.467 + 2785.85i −0.0405659 + 0.151394i
\(698\) 2820.56 10526.5i 0.152951 0.570820i
\(699\) 15308.0 4370.13i 0.828330 0.236471i
\(700\) 2148.93 10690.6i 0.116031 0.577236i
\(701\) 21918.5i 1.18096i 0.807054 + 0.590478i \(0.201061\pi\)
−0.807054 + 0.590478i \(0.798939\pi\)
\(702\) 2329.14 + 47641.0i 0.125224 + 2.56139i
\(703\) 3383.93 3383.93i 0.181547 0.181547i
\(704\) −3613.36 + 6258.53i −0.193443 + 0.335053i
\(705\) 13674.8 656.880i 0.730527 0.0350915i
\(706\) −24185.9 41891.2i −1.28930 2.23314i
\(707\) 7910.29 + 2119.56i 0.420788 + 0.112750i
\(708\) −2678.35 + 1605.05i −0.142173 + 0.0851999i
\(709\) −25661.5 14815.7i −1.35929 0.784787i −0.369763 0.929126i \(-0.620561\pi\)
−0.989528 + 0.144338i \(0.953895\pi\)
\(710\) 4633.94 2875.09i 0.244942 0.151972i
\(711\) 142.755 + 4381.89i 0.00752987 + 0.231130i
\(712\) 13281.6 + 13281.6i 0.699087 + 0.699087i
\(713\) −32378.6 + 8675.82i −1.70068 + 0.455697i
\(714\) −994.982 + 1027.92i −0.0521516 + 0.0538783i
\(715\) −6568.44 3519.43i −0.343560 0.184083i
\(716\) −27516.2 + 15886.5i −1.43622 + 0.829199i
\(717\) 20220.8 329.295i 1.05322 0.0171517i
\(718\) 7981.37 + 29786.9i 0.414850 + 1.54824i
\(719\) 5855.14 0.303700 0.151850 0.988404i \(-0.451477\pi\)
0.151850 + 0.988404i \(0.451477\pi\)
\(720\) 5437.84 1838.82i 0.281467 0.0951789i
\(721\) 2114.24 0.109207
\(722\) −5217.97 19473.7i −0.268965 1.00379i
\(723\) −17584.1 29342.5i −0.904508 1.50935i
\(724\) −2019.25 + 1165.81i −0.103653 + 0.0598440i
\(725\) −1352.37 21291.6i −0.0692767 1.09069i
\(726\) 7966.64 + 27906.1i 0.407258 + 1.42658i
\(727\) 17456.9 4677.55i 0.890563 0.238626i 0.215604 0.976481i \(-0.430828\pi\)
0.674959 + 0.737855i \(0.264161\pi\)
\(728\) 6764.65 + 6764.65i 0.344388 + 0.344388i
\(729\) 19589.1 1919.99i 0.995231 0.0975455i
\(730\) −9888.44 2316.19i −0.501353 0.117433i
\(731\) −3237.56 1869.21i −0.163811 0.0945762i
\(732\) 3874.25 + 2153.46i 0.195623 + 0.108735i
\(733\) 35884.0 + 9615.09i 1.80819 + 0.484504i 0.995208 0.0977795i \(-0.0311740\pi\)
0.812986 + 0.582284i \(0.197841\pi\)
\(734\) −20929.9 36251.7i −1.05250 1.82299i
\(735\) −5108.46 15958.7i −0.256365 0.800878i
\(736\) −11682.9 + 20235.3i −0.585104 + 1.01343i
\(737\) −109.578 + 109.578i −0.00547676 + 0.00547676i
\(738\) 9404.70 40305.8i 0.469095 2.01040i
\(739\) 16862.4i 0.839371i −0.907670 0.419686i \(-0.862140\pi\)
0.907670 0.419686i \(-0.137860\pi\)
\(740\) 5917.75 187.748i 0.293974 0.00932669i
\(741\) −30435.6 29460.2i −1.50888 1.46052i
\(742\) −728.677 + 2719.46i −0.0360520 + 0.134548i
\(743\) −2026.03 + 7561.26i −0.100038 + 0.373345i −0.997735 0.0672671i \(-0.978572\pi\)
0.897697 + 0.440613i \(0.145239\pi\)
\(744\) −20002.3 19361.2i −0.985643 0.954055i
\(745\) 5077.81 + 4765.52i 0.249713 + 0.234356i
\(746\) 25811.4i 1.26678i
\(747\) −5708.72 5348.49i −0.279613 0.261969i
\(748\) −610.143 + 610.143i −0.0298249 + 0.0298249i
\(749\) 4513.18 7817.06i 0.220171 0.381347i
\(750\) −26019.9 + 19172.7i −1.26682 + 0.933449i
\(751\) 9768.62 + 16919.7i 0.474650 + 0.822117i 0.999579 0.0290288i \(-0.00924145\pi\)
−0.524929 + 0.851146i \(0.675908\pi\)
\(752\) 4328.57 + 1159.84i 0.209903 + 0.0562433i
\(753\) 28718.0 + 15962.6i 1.38983 + 0.772523i
\(754\) 50252.4 + 29013.2i 2.42717 + 1.40133i
\(755\) −5145.57 + 21967.8i −0.248035 + 1.05893i
\(756\) 8221.19 9066.37i 0.395505 0.436165i
\(757\) 10039.5 + 10039.5i 0.482024 + 0.482024i 0.905777 0.423754i \(-0.139288\pi\)
−0.423754 + 0.905777i \(0.639288\pi\)
\(758\) −28448.5 + 7622.74i −1.36319 + 0.365265i
\(759\) −1320.28 4624.79i −0.0631400 0.221172i
\(760\) 9553.65 17830.3i 0.455983 0.851017i
\(761\) −20084.8 + 11595.9i −0.956731 + 0.552369i −0.895165 0.445734i \(-0.852943\pi\)
−0.0615654 + 0.998103i \(0.519609\pi\)
\(762\) −18227.3 30415.9i −0.866545 1.44600i
\(763\) 1894.15 + 7069.05i 0.0898725 + 0.335409i
\(764\) −4173.81 −0.197648
\(765\) 2522.63 162.385i 0.119223 0.00767456i
\(766\) 55350.5 2.61083
\(767\) −1006.02 3754.54i −0.0473604 0.176752i
\(768\) −10068.2 + 163.960i −0.473054 + 0.00770364i
\(769\) −30950.8 + 17869.4i −1.45138 + 0.837956i −0.998560 0.0536450i \(-0.982916\pi\)
−0.452822 + 0.891601i \(0.649583\pi\)
\(770\) 927.956 +