Properties

Label 210.3.w.a.17.5
Level 210
Weight 3
Character 210.17
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
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 17.5
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.a.173.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36603 - 0.366025i) q^{2} +(-2.25410 - 1.97966i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-3.83488 + 3.20838i) q^{5} +(2.35455 + 3.52932i) q^{6} +(6.92770 - 1.00349i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.16192 + 8.92468i) q^{9} +O(q^{10})\) \(q+(-1.36603 - 0.366025i) q^{2} +(-2.25410 - 1.97966i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-3.83488 + 3.20838i) q^{5} +(2.35455 + 3.52932i) q^{6} +(6.92770 - 1.00349i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.16192 + 8.92468i) q^{9} +(6.41289 - 2.97907i) q^{10} +(-8.28471 - 4.78318i) q^{11} +(-1.92456 - 5.68296i) q^{12} +(9.08652 + 9.08652i) q^{13} +(-9.83072 - 1.16492i) q^{14} +(14.9957 + 0.359725i) q^{15} +(2.00000 + 3.46410i) q^{16} +(24.4806 - 6.55954i) q^{17} +(1.67945 - 12.6166i) q^{18} +(-10.4928 - 18.1740i) q^{19} +(-9.85058 + 1.72221i) q^{20} +(-17.6023 - 11.4525i) q^{21} +(9.56635 + 9.56635i) q^{22} +(8.88865 - 33.1729i) q^{23} +(0.548882 + 8.46751i) q^{24} +(4.41254 - 24.6075i) q^{25} +(-9.08652 - 15.7383i) q^{26} +(15.0487 - 22.4173i) q^{27} +(13.0026 + 5.18960i) q^{28} -6.08119 q^{29} +(-20.3528 - 5.98020i) q^{30} +(7.22620 + 4.17205i) q^{31} +(-1.46410 - 5.46410i) q^{32} +(9.20549 + 27.1826i) q^{33} -35.8420 q^{34} +(-23.3473 + 26.0750i) q^{35} +(-6.91218 + 16.6199i) q^{36} +(3.80688 - 14.2075i) q^{37} +(7.68123 + 28.6667i) q^{38} +(-2.49371 - 38.4701i) q^{39} +(14.0865 + 1.25298i) q^{40} +55.3266 q^{41} +(19.8533 + 22.0873i) q^{42} +(57.2947 - 57.2947i) q^{43} +(-9.56635 - 16.5694i) q^{44} +(-33.0896 - 30.4972i) q^{45} +(-24.2842 + 42.0616i) q^{46} +(-19.9579 + 74.4838i) q^{47} +(2.34954 - 11.7677i) q^{48} +(46.9860 - 13.9038i) q^{49} +(-15.0346 + 31.9994i) q^{50} +(-68.1672 - 33.6772i) q^{51} +(6.65179 + 24.8248i) q^{52} +(0.717027 - 0.192127i) q^{53} +(-28.7623 + 25.1144i) q^{54} +(47.1171 - 8.23763i) q^{55} +(-15.8624 - 11.8484i) q^{56} +(-12.3266 + 61.7380i) q^{57} +(8.30707 + 2.22587i) q^{58} +(88.7444 + 51.2366i) q^{59} +(25.6136 + 15.6187i) q^{60} +(-92.7452 + 53.5465i) q^{61} +(-8.34410 - 8.34410i) q^{62} +(17.0053 + 60.6615i) q^{63} +8.00000i q^{64} +(-63.9987 - 5.69262i) q^{65} +(-2.62540 - 40.5016i) q^{66} +(-23.1334 + 6.19858i) q^{67} +(48.9611 + 13.1191i) q^{68} +(-85.7069 + 57.1785i) q^{69} +(41.4371 - 27.0734i) q^{70} -26.3031i q^{71} +(15.5255 - 20.1732i) q^{72} +(-7.55785 + 2.02512i) q^{73} +(-10.4006 + 18.0143i) q^{74} +(-58.6607 + 46.7324i) q^{75} -41.9710i q^{76} +(-62.1938 - 24.8228i) q^{77} +(-10.6746 + 53.4639i) q^{78} +(34.5890 - 19.9700i) q^{79} +(-18.7839 - 6.86763i) q^{80} +(-78.2999 + 20.7395i) q^{81} +(-75.5775 - 20.2509i) q^{82} +(52.9823 - 52.9823i) q^{83} +(-19.0356 - 37.4386i) q^{84} +(-72.8343 + 103.698i) q^{85} +(-99.2373 + 57.2947i) q^{86} +(13.7076 + 12.0387i) q^{87} +(7.00306 + 26.1358i) q^{88} +(24.2649 - 14.0093i) q^{89} +(34.0385 + 53.7715i) q^{90} +(72.0669 + 53.8304i) q^{91} +(48.5685 - 48.5685i) q^{92} +(-8.02934 - 23.7096i) q^{93} +(54.5260 - 94.4417i) q^{94} +(98.5476 + 36.0302i) q^{95} +(-7.51682 + 15.2150i) q^{96} +(19.4329 - 19.4329i) q^{97} +(-69.2732 + 1.79485i) q^{98} +(33.0622 - 79.4960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + O(q^{10}) \) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + 24q^{10} + 12q^{12} - 16q^{14} - 44q^{15} + 128q^{16} - 20q^{18} + 36q^{21} + 16q^{22} - 12q^{23} - 16q^{25} + 8q^{28} - 112q^{29} + 26q^{30} + 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} + 24q^{38} + 64q^{39} - 136q^{42} + 32q^{43} - 16q^{44} - 114q^{45} - 24q^{46} - 96q^{47} + 40q^{50} - 84q^{51} + 56q^{53} - 72q^{54} - 316q^{57} + 56q^{58} + 672q^{59} + 8q^{60} + 600q^{61} - 210q^{63} + 28q^{65} + 16q^{67} + 24q^{72} - 624q^{73} - 64q^{74} + 48q^{75} + 208q^{77} - 8q^{78} - 48q^{80} - 64q^{81} - 192q^{82} + 160q^{84} - 152q^{85} + 60q^{87} - 16q^{88} + 144q^{89} - 232q^{91} + 48q^{92} - 170q^{93} + 136q^{95} - 48q^{96} + 128q^{98} + 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36603 0.366025i −0.683013 0.183013i
\(3\) −2.25410 1.97966i −0.751366 0.659886i
\(4\) 1.73205 + 1.00000i 0.433013 + 0.250000i
\(5\) −3.83488 + 3.20838i −0.766975 + 0.641677i
\(6\) 2.35455 + 3.52932i 0.392425 + 0.588220i
\(7\) 6.92770 1.00349i 0.989671 0.143356i
\(8\) −2.00000 2.00000i −0.250000 0.250000i
\(9\) 1.16192 + 8.92468i 0.129102 + 0.991631i
\(10\) 6.41289 2.97907i 0.641289 0.297907i
\(11\) −8.28471 4.78318i −0.753155 0.434834i 0.0736777 0.997282i \(-0.476526\pi\)
−0.826833 + 0.562448i \(0.809860\pi\)
\(12\) −1.92456 5.68296i −0.160380 0.473580i
\(13\) 9.08652 + 9.08652i 0.698963 + 0.698963i 0.964187 0.265224i \(-0.0854459\pi\)
−0.265224 + 0.964187i \(0.585446\pi\)
\(14\) −9.83072 1.16492i −0.702194 0.0832084i
\(15\) 14.9957 + 0.359725i 0.999712 + 0.0239817i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) 24.4806 6.55954i 1.44003 0.385856i 0.547488 0.836814i \(-0.315584\pi\)
0.892545 + 0.450958i \(0.148918\pi\)
\(18\) 1.67945 12.6166i 0.0933030 0.700924i
\(19\) −10.4928 18.1740i −0.552250 0.956526i −0.998112 0.0614237i \(-0.980436\pi\)
0.445861 0.895102i \(-0.352897\pi\)
\(20\) −9.85058 + 1.72221i −0.492529 + 0.0861105i
\(21\) −17.6023 11.4525i −0.838204 0.545357i
\(22\) 9.56635 + 9.56635i 0.434834 + 0.434834i
\(23\) 8.88865 33.1729i 0.386463 1.44230i −0.449384 0.893338i \(-0.648357\pi\)
0.835848 0.548962i \(-0.184977\pi\)
\(24\) 0.548882 + 8.46751i 0.0228701 + 0.352813i
\(25\) 4.41254 24.6075i 0.176502 0.984300i
\(26\) −9.08652 15.7383i −0.349481 0.605320i
\(27\) 15.0487 22.4173i 0.557361 0.830271i
\(28\) 13.0026 + 5.18960i 0.464379 + 0.185343i
\(29\) −6.08119 −0.209696 −0.104848 0.994488i \(-0.533436\pi\)
−0.104848 + 0.994488i \(0.533436\pi\)
\(30\) −20.3528 5.98020i −0.678427 0.199340i
\(31\) 7.22620 + 4.17205i 0.233103 + 0.134582i 0.612003 0.790856i \(-0.290364\pi\)
−0.378900 + 0.925438i \(0.623697\pi\)
\(32\) −1.46410 5.46410i −0.0457532 0.170753i
\(33\) 9.20549 + 27.1826i 0.278954 + 0.823716i
\(34\) −35.8420 −1.05418
\(35\) −23.3473 + 26.0750i −0.667065 + 0.745000i
\(36\) −6.91218 + 16.6199i −0.192005 + 0.461664i
\(37\) 3.80688 14.2075i 0.102889 0.383986i −0.895208 0.445648i \(-0.852973\pi\)
0.998097 + 0.0616620i \(0.0196401\pi\)
\(38\) 7.68123 + 28.6667i 0.202138 + 0.754388i
\(39\) −2.49371 38.4701i −0.0639414 0.986413i
\(40\) 14.0865 + 1.25298i 0.352163 + 0.0313245i
\(41\) 55.3266 1.34943 0.674714 0.738079i \(-0.264267\pi\)
0.674714 + 0.738079i \(0.264267\pi\)
\(42\) 19.8533 + 22.0873i 0.472697 + 0.525888i
\(43\) 57.2947 57.2947i 1.33243 1.33243i 0.429248 0.903187i \(-0.358779\pi\)
0.903187 0.429248i \(-0.141221\pi\)
\(44\) −9.56635 16.5694i −0.217417 0.376578i
\(45\) −33.0896 30.4972i −0.735325 0.677715i
\(46\) −24.2842 + 42.0616i −0.527918 + 0.914382i
\(47\) −19.9579 + 74.4838i −0.424636 + 1.58476i 0.340081 + 0.940396i \(0.389545\pi\)
−0.764717 + 0.644366i \(0.777121\pi\)
\(48\) 2.34954 11.7677i 0.0489487 0.245161i
\(49\) 46.9860 13.9038i 0.958898 0.283751i
\(50\) −15.0346 + 31.9994i −0.300692 + 0.639988i
\(51\) −68.1672 33.6772i −1.33661 0.660338i
\(52\) 6.65179 + 24.8248i 0.127919 + 0.477401i
\(53\) 0.717027 0.192127i 0.0135288 0.00362504i −0.252048 0.967715i \(-0.581104\pi\)
0.265577 + 0.964090i \(0.414438\pi\)
\(54\) −28.7623 + 25.1144i −0.532634 + 0.465081i
\(55\) 47.1171 8.23763i 0.856674 0.149775i
\(56\) −15.8624 11.8484i −0.283257 0.211579i
\(57\) −12.3266 + 61.7380i −0.216255 + 1.08312i
\(58\) 8.30707 + 2.22587i 0.143225 + 0.0383771i
\(59\) 88.7444 + 51.2366i 1.50414 + 0.868417i 0.999988 + 0.00480253i \(0.00152870\pi\)
0.504153 + 0.863614i \(0.331805\pi\)
\(60\) 25.6136 + 15.6187i 0.426893 + 0.260312i
\(61\) −92.7452 + 53.5465i −1.52041 + 0.877811i −0.520703 + 0.853738i \(0.674330\pi\)
−0.999710 + 0.0240733i \(0.992336\pi\)
\(62\) −8.34410 8.34410i −0.134582 0.134582i
\(63\) 17.0053 + 60.6615i 0.269925 + 0.962881i
\(64\) 8.00000i 0.125000i
\(65\) −63.9987 5.69262i −0.984595 0.0875788i
\(66\) −2.62540 40.5016i −0.0397788 0.613661i
\(67\) −23.1334 + 6.19858i −0.345275 + 0.0925161i −0.427289 0.904115i \(-0.640531\pi\)
0.0820144 + 0.996631i \(0.473865\pi\)
\(68\) 48.9611 + 13.1191i 0.720016 + 0.192928i
\(69\) −85.7069 + 57.1785i −1.24213 + 0.828674i
\(70\) 41.4371 27.0734i 0.591958 0.386763i
\(71\) 26.3031i 0.370466i −0.982695 0.185233i \(-0.940696\pi\)
0.982695 0.185233i \(-0.0593041\pi\)
\(72\) 15.5255 20.1732i 0.215632 0.280183i
\(73\) −7.55785 + 2.02512i −0.103532 + 0.0277414i −0.310213 0.950667i \(-0.600400\pi\)
0.206681 + 0.978408i \(0.433734\pi\)
\(74\) −10.4006 + 18.0143i −0.140548 + 0.243437i
\(75\) −58.6607 + 46.7324i −0.782143 + 0.623099i
\(76\) 41.9710i 0.552250i
\(77\) −62.1938 24.8228i −0.807712 0.322374i
\(78\) −10.6746 + 53.4639i −0.136853 + 0.685434i
\(79\) 34.5890 19.9700i 0.437836 0.252785i −0.264843 0.964291i \(-0.585320\pi\)
0.702679 + 0.711507i \(0.251987\pi\)
\(80\) −18.7839 6.86763i −0.234799 0.0858454i
\(81\) −78.2999 + 20.7395i −0.966665 + 0.256043i
\(82\) −75.5775 20.2509i −0.921677 0.246963i
\(83\) 52.9823 52.9823i 0.638340 0.638340i −0.311806 0.950146i \(-0.600934\pi\)
0.950146 + 0.311806i \(0.100934\pi\)
\(84\) −19.0356 37.4386i −0.226614 0.445697i
\(85\) −72.8343 + 103.698i −0.856875 + 1.21998i
\(86\) −99.2373 + 57.2947i −1.15392 + 0.666217i
\(87\) 13.7076 + 12.0387i 0.157559 + 0.138376i
\(88\) 7.00306 + 26.1358i 0.0795802 + 0.296997i
\(89\) 24.2649 14.0093i 0.272639 0.157408i −0.357447 0.933933i \(-0.616353\pi\)
0.630086 + 0.776525i \(0.283020\pi\)
\(90\) 34.0385 + 53.7715i 0.378206 + 0.597462i
\(91\) 72.0669 + 53.8304i 0.791944 + 0.591543i
\(92\) 48.5685 48.5685i 0.527918 0.527918i
\(93\) −8.02934 23.7096i −0.0863370 0.254942i
\(94\) 54.5260 94.4417i 0.580063 1.00470i
\(95\) 98.5476 + 36.0302i 1.03734 + 0.379265i
\(96\) −7.51682 + 15.2150i −0.0783002 + 0.158490i
\(97\) 19.4329 19.4329i 0.200339 0.200339i −0.599806 0.800145i \(-0.704756\pi\)
0.800145 + 0.599806i \(0.204756\pi\)
\(98\) −69.2732 + 1.79485i −0.706870 + 0.0183148i
\(99\) 33.0622 79.4960i 0.333962 0.802990i
\(100\) 32.2502 38.2089i 0.322502 0.382089i
\(101\) 9.58323 16.5986i 0.0948835 0.164343i −0.814676 0.579916i \(-0.803085\pi\)
0.909560 + 0.415573i \(0.136419\pi\)
\(102\) 80.7914 + 70.9549i 0.792073 + 0.695636i
\(103\) 31.4369 117.324i 0.305213 1.13907i −0.627549 0.778577i \(-0.715942\pi\)
0.932762 0.360493i \(-0.117391\pi\)
\(104\) 36.3461i 0.349481i
\(105\) 104.247 12.5560i 0.992824 0.119581i
\(106\) −1.04980 −0.00990378
\(107\) −37.8387 10.1388i −0.353632 0.0947555i 0.0776295 0.996982i \(-0.475265\pi\)
−0.431262 + 0.902227i \(0.641932\pi\)
\(108\) 48.4825 23.7792i 0.448912 0.220178i
\(109\) −25.5309 14.7403i −0.234228 0.135232i 0.378293 0.925686i \(-0.376511\pi\)
−0.612521 + 0.790454i \(0.709845\pi\)
\(110\) −67.3783 5.99323i −0.612530 0.0544839i
\(111\) −36.7070 + 24.4887i −0.330694 + 0.220619i
\(112\) 17.3316 + 21.9913i 0.154746 + 0.196351i
\(113\) −18.4098 18.4098i −0.162919 0.162919i 0.620940 0.783858i \(-0.286751\pi\)
−0.783858 + 0.620940i \(0.786751\pi\)
\(114\) 39.4361 79.8239i 0.345930 0.700209i
\(115\) 72.3445 + 155.732i 0.629083 + 1.35419i
\(116\) −10.5329 6.08119i −0.0908012 0.0524241i
\(117\) −70.5365 + 91.6521i −0.602876 + 0.783351i
\(118\) −102.473 102.473i −0.868417 0.868417i
\(119\) 163.011 70.0086i 1.36984 0.588308i
\(120\) −29.2719 30.7108i −0.243933 0.255924i
\(121\) −14.7424 25.5346i −0.121838 0.211030i
\(122\) 146.292 39.1987i 1.19911 0.321301i
\(123\) −124.712 109.528i −1.01391 0.890468i
\(124\) 8.34410 + 14.4524i 0.0672911 + 0.116552i
\(125\) 62.0288 + 108.524i 0.496231 + 0.868191i
\(126\) −1.02595 89.0895i −0.00814244 0.707060i
\(127\) 25.3592 + 25.3592i 0.199679 + 0.199679i 0.799862 0.600184i \(-0.204906\pi\)
−0.600184 + 0.799862i \(0.704906\pi\)
\(128\) 2.92820 10.9282i 0.0228766 0.0853766i
\(129\) −242.572 + 15.7240i −1.88040 + 0.121892i
\(130\) 85.3402 + 31.2014i 0.656463 + 0.240011i
\(131\) 4.37875 + 7.58421i 0.0334255 + 0.0578947i 0.882254 0.470773i \(-0.156025\pi\)
−0.848829 + 0.528668i \(0.822692\pi\)
\(132\) −11.2383 + 56.2872i −0.0851383 + 0.426418i
\(133\) −90.9281 115.375i −0.683670 0.867477i
\(134\) 33.8696 0.252759
\(135\) 14.2133 + 134.250i 0.105284 + 0.994442i
\(136\) −62.0802 35.8420i −0.456472 0.263544i
\(137\) 14.3253 + 53.4629i 0.104565 + 0.390240i 0.998295 0.0583633i \(-0.0185882\pi\)
−0.893731 + 0.448604i \(0.851922\pi\)
\(138\) 138.007 46.7364i 1.00005 0.338669i
\(139\) −2.66639 −0.0191827 −0.00959134 0.999954i \(-0.503053\pi\)
−0.00959134 + 0.999954i \(0.503053\pi\)
\(140\) −66.5136 + 21.8159i −0.475097 + 0.155828i
\(141\) 192.439 128.384i 1.36482 0.910526i
\(142\) −9.62761 + 35.9307i −0.0678001 + 0.253033i
\(143\) −31.8167 118.742i −0.222494 0.830360i
\(144\) −28.5922 + 21.8744i −0.198557 + 0.151905i
\(145\) 23.3206 19.5108i 0.160832 0.134557i
\(146\) 11.0655 0.0757909
\(147\) −133.436 61.6757i −0.907726 0.419562i
\(148\) 20.8012 20.8012i 0.140548 0.140548i
\(149\) −34.6598 60.0325i −0.232616 0.402903i 0.725961 0.687736i \(-0.241395\pi\)
−0.958577 + 0.284833i \(0.908062\pi\)
\(150\) 97.2373 42.3664i 0.648249 0.282442i
\(151\) −71.5788 + 123.978i −0.474032 + 0.821047i −0.999558 0.0297305i \(-0.990535\pi\)
0.525526 + 0.850777i \(0.323868\pi\)
\(152\) −15.3625 + 57.3335i −0.101069 + 0.377194i
\(153\) 86.9862 + 210.860i 0.568537 + 1.37817i
\(154\) 75.8726 + 56.6731i 0.492679 + 0.368007i
\(155\) −41.0971 + 7.18514i −0.265143 + 0.0463557i
\(156\) 34.1509 69.1259i 0.218916 0.443115i
\(157\) 27.8469 + 103.926i 0.177369 + 0.661949i 0.996136 + 0.0878233i \(0.0279911\pi\)
−0.818767 + 0.574125i \(0.805342\pi\)
\(158\) −54.5590 + 14.6190i −0.345310 + 0.0925256i
\(159\) −1.99660 0.986395i −0.0125572 0.00620374i
\(160\) 23.1456 + 16.2567i 0.144660 + 0.101605i
\(161\) 28.2891 238.732i 0.175709 1.48280i
\(162\) 114.551 + 0.329120i 0.707104 + 0.00203160i
\(163\) 78.9415 + 21.1523i 0.484304 + 0.129769i 0.492706 0.870196i \(-0.336008\pi\)
−0.00840214 + 0.999965i \(0.502675\pi\)
\(164\) 95.8284 + 55.3266i 0.584320 + 0.337357i
\(165\) −122.514 74.7072i −0.742510 0.452771i
\(166\) −91.7680 + 52.9823i −0.552819 + 0.319170i
\(167\) −27.5502 27.5502i −0.164972 0.164972i 0.619793 0.784765i \(-0.287216\pi\)
−0.784765 + 0.619793i \(0.787216\pi\)
\(168\) 12.2996 + 58.1096i 0.0732117 + 0.345890i
\(169\) 3.87040i 0.0229018i
\(170\) 137.450 114.995i 0.808528 0.676441i
\(171\) 150.005 114.761i 0.877224 0.671118i
\(172\) 156.532 41.9426i 0.910070 0.243853i
\(173\) −159.328 42.6919i −0.920973 0.246774i −0.232972 0.972483i \(-0.574845\pi\)
−0.688001 + 0.725709i \(0.741512\pi\)
\(174\) −14.3185 21.4625i −0.0822901 0.123348i
\(175\) 5.87529 174.901i 0.0335731 0.999436i
\(176\) 38.2654i 0.217417i
\(177\) −98.6076 291.176i −0.557105 1.64506i
\(178\) −38.2742 + 10.2555i −0.215024 + 0.0576154i
\(179\) 41.8470 72.4811i 0.233782 0.404922i −0.725136 0.688606i \(-0.758223\pi\)
0.958918 + 0.283683i \(0.0915564\pi\)
\(180\) −26.8157 85.9123i −0.148976 0.477290i
\(181\) 54.9853i 0.303786i −0.988397 0.151893i \(-0.951463\pi\)
0.988397 0.151893i \(-0.0485370\pi\)
\(182\) −78.7419 99.9120i −0.432648 0.548967i
\(183\) 315.060 + 62.9047i 1.72164 + 0.343742i
\(184\) −84.1231 + 48.5685i −0.457191 + 0.263959i
\(185\) 30.9841 + 66.6978i 0.167482 + 0.360529i
\(186\) 2.28996 + 35.3269i 0.0123116 + 0.189929i
\(187\) −234.190 62.7509i −1.25235 0.335566i
\(188\) −109.052 + 109.052i −0.580063 + 0.580063i
\(189\) 81.7575 170.402i 0.432579 0.901596i
\(190\) −121.431 85.2891i −0.639108 0.448890i
\(191\) −183.674 + 106.044i −0.961645 + 0.555206i −0.896679 0.442681i \(-0.854027\pi\)
−0.0649662 + 0.997887i \(0.520694\pi\)
\(192\) 15.8373 18.0328i 0.0824857 0.0939208i
\(193\) 19.8907 + 74.2332i 0.103061 + 0.384628i 0.998118 0.0613233i \(-0.0195321\pi\)
−0.895057 + 0.445951i \(0.852865\pi\)
\(194\) −33.6588 + 19.4329i −0.173499 + 0.100170i
\(195\) 132.990 + 139.527i 0.682000 + 0.715524i
\(196\) 95.2859 + 22.9039i 0.486153 + 0.116857i
\(197\) 164.483 164.483i 0.834941 0.834941i −0.153247 0.988188i \(-0.548973\pi\)
0.988188 + 0.153247i \(0.0489730\pi\)
\(198\) −74.2614 + 96.4920i −0.375057 + 0.487333i
\(199\) −122.872 + 212.821i −0.617449 + 1.06945i 0.372500 + 0.928032i \(0.378500\pi\)
−0.989950 + 0.141421i \(0.954833\pi\)
\(200\) −58.0401 + 40.3899i −0.290200 + 0.201950i
\(201\) 64.4160 + 31.8240i 0.320478 + 0.158328i
\(202\) −19.1665 + 19.1665i −0.0948835 + 0.0948835i
\(203\) −42.1287 + 6.10243i −0.207530 + 0.0300612i
\(204\) −84.3918 126.498i −0.413686 0.620088i
\(205\) −212.170 + 177.509i −1.03498 + 0.865897i
\(206\) −85.8872 + 148.761i −0.416928 + 0.722141i
\(207\) 306.385 + 40.7843i 1.48012 + 0.197025i
\(208\) −13.3036 + 49.6497i −0.0639595 + 0.238700i
\(209\) 200.755i 0.960550i
\(210\) −146.999 21.0051i −0.699997 0.100024i
\(211\) −319.893 −1.51608 −0.758041 0.652206i \(-0.773844\pi\)
−0.758041 + 0.652206i \(0.773844\pi\)
\(212\) 1.43405 + 0.384254i 0.00676441 + 0.00181252i
\(213\) −52.0712 + 59.2898i −0.244465 + 0.278356i
\(214\) 47.9775 + 27.6998i 0.224194 + 0.129438i
\(215\) −35.8946 + 403.541i −0.166952 + 1.87694i
\(216\) −74.9321 + 14.7371i −0.346908 + 0.0682275i
\(217\) 54.2475 + 21.6513i 0.249989 + 0.0997754i
\(218\) 29.4805 + 29.4805i 0.135232 + 0.135232i
\(219\) 21.0452 + 10.3971i 0.0960967 + 0.0474755i
\(220\) 89.8468 + 32.8491i 0.408395 + 0.149314i
\(221\) 282.046 + 162.840i 1.27623 + 0.736831i
\(222\) 59.1062 20.0165i 0.266244 0.0901644i
\(223\) 72.0790 + 72.0790i 0.323224 + 0.323224i 0.850003 0.526778i \(-0.176600\pi\)
−0.526778 + 0.850003i \(0.676600\pi\)
\(224\) −15.6260 36.3844i −0.0697591 0.162431i
\(225\) 224.741 + 10.7886i 0.998850 + 0.0479495i
\(226\) 18.4098 + 31.8867i 0.0814593 + 0.141092i
\(227\) −296.832 + 79.5359i −1.30763 + 0.350378i −0.844330 0.535823i \(-0.820001\pi\)
−0.463300 + 0.886202i \(0.653335\pi\)
\(228\) −83.0882 + 94.6068i −0.364422 + 0.414942i
\(229\) 182.736 + 316.509i 0.797975 + 1.38213i 0.920933 + 0.389722i \(0.127429\pi\)
−0.122958 + 0.992412i \(0.539238\pi\)
\(230\) −41.8226 239.214i −0.181837 1.04006i
\(231\) 91.0504 + 179.075i 0.394158 + 0.775218i
\(232\) 12.1624 + 12.1624i 0.0524241 + 0.0524241i
\(233\) 52.4347 195.689i 0.225042 0.839867i −0.757346 0.653013i \(-0.773504\pi\)
0.982388 0.186853i \(-0.0598288\pi\)
\(234\) 129.902 99.3809i 0.555135 0.424705i
\(235\) −162.437 349.669i −0.691220 1.48795i
\(236\) 102.473 + 177.489i 0.434208 + 0.752071i
\(237\) −117.501 23.4601i −0.495784 0.0989878i
\(238\) −248.303 + 35.9672i −1.04329 + 0.151123i
\(239\) −239.638 −1.00267 −0.501334 0.865254i \(-0.667157\pi\)
−0.501334 + 0.865254i \(0.667157\pi\)
\(240\) 28.7452 + 52.6660i 0.119772 + 0.219442i
\(241\) −150.658 86.9824i −0.625137 0.360923i 0.153729 0.988113i \(-0.450872\pi\)
−0.778866 + 0.627190i \(0.784205\pi\)
\(242\) 10.7922 + 40.2771i 0.0445959 + 0.166434i
\(243\) 217.553 + 108.258i 0.895279 + 0.445507i
\(244\) −214.186 −0.877811
\(245\) −135.577 + 204.068i −0.553375 + 0.832932i
\(246\) 130.269 + 195.265i 0.529550 + 0.793761i
\(247\) 69.7956 260.481i 0.282573 1.05458i
\(248\) −6.10830 22.7965i −0.0246303 0.0919214i
\(249\) −224.314 + 14.5405i −0.900859 + 0.0583956i
\(250\) −45.0105 170.950i −0.180042 0.683802i
\(251\) 15.9751 0.0636458 0.0318229 0.999494i \(-0.489869\pi\)
0.0318229 + 0.999494i \(0.489869\pi\)
\(252\) −31.2076 + 122.074i −0.123840 + 0.484421i
\(253\) −232.312 + 232.312i −0.918228 + 0.918228i
\(254\) −25.3592 43.9234i −0.0998393 0.172927i
\(255\) 369.462 89.5586i 1.44887 0.351210i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) 30.7419 114.730i 0.119618 0.446422i −0.879972 0.475025i \(-0.842439\pi\)
0.999591 + 0.0286028i \(0.00910581\pi\)
\(258\) 337.115 + 67.3080i 1.30665 + 0.260884i
\(259\) 12.1158 102.245i 0.0467793 0.394769i
\(260\) −105.156 73.8586i −0.404448 0.284072i
\(261\) −7.06584 54.2727i −0.0270722 0.207941i
\(262\) −3.20547 11.9630i −0.0122346 0.0456601i
\(263\) −0.798967 + 0.214082i −0.00303790 + 0.000814002i −0.260338 0.965518i \(-0.583834\pi\)
0.257300 + 0.966332i \(0.417167\pi\)
\(264\) 35.9543 72.7762i 0.136190 0.275668i
\(265\) −2.13329 + 3.03728i −0.00805016 + 0.0114614i
\(266\) 81.9801 + 190.886i 0.308196 + 0.717618i
\(267\) −82.4290 16.4577i −0.308723 0.0616394i
\(268\) −46.2668 12.3972i −0.172637 0.0462580i
\(269\) 121.009 + 69.8648i 0.449849 + 0.259720i 0.707766 0.706447i \(-0.249703\pi\)
−0.257918 + 0.966167i \(0.583036\pi\)
\(270\) 29.7231 188.591i 0.110085 0.698485i
\(271\) 355.001 204.960i 1.30997 0.756309i 0.327875 0.944721i \(-0.393667\pi\)
0.982090 + 0.188412i \(0.0603341\pi\)
\(272\) 71.6840 + 71.6840i 0.263544 + 0.263544i
\(273\) −55.8801 264.007i −0.204689 0.967058i
\(274\) 78.2752i 0.285676i
\(275\) −154.259 + 182.760i −0.560941 + 0.664582i
\(276\) −205.627 + 13.3292i −0.745026 + 0.0482942i
\(277\) −382.795 + 102.570i −1.38193 + 0.370287i −0.871822 0.489823i \(-0.837061\pi\)
−0.510109 + 0.860110i \(0.670395\pi\)
\(278\) 3.64236 + 0.975968i 0.0131020 + 0.00351067i
\(279\) −28.8380 + 69.3391i −0.103362 + 0.248527i
\(280\) 98.8445 5.45544i 0.353016 0.0194837i
\(281\) 333.039i 1.18519i 0.805500 + 0.592596i \(0.201897\pi\)
−0.805500 + 0.592596i \(0.798103\pi\)
\(282\) −309.869 + 104.938i −1.09883 + 0.372121i
\(283\) −11.2583 + 3.01665i −0.0397820 + 0.0106596i −0.278655 0.960391i \(-0.589889\pi\)
0.238873 + 0.971051i \(0.423222\pi\)
\(284\) 26.3031 45.5583i 0.0926166 0.160417i
\(285\) −150.808 276.306i −0.529152 0.969494i
\(286\) 173.850i 0.607866i
\(287\) 383.286 55.5198i 1.33549 0.193449i
\(288\) 47.0642 19.4155i 0.163417 0.0674148i
\(289\) 305.989 176.663i 1.05878 0.611289i
\(290\) −38.9980 + 18.1163i −0.134476 + 0.0624701i
\(291\) −82.2741 + 5.33318i −0.282729 + 0.0183271i
\(292\) −15.1157 4.05024i −0.0517661 0.0138707i
\(293\) −181.483 + 181.483i −0.619396 + 0.619396i −0.945376 0.325981i \(-0.894306\pi\)
0.325981 + 0.945376i \(0.394306\pi\)
\(294\) 159.702 + 133.091i 0.543203 + 0.452692i
\(295\) −504.710 + 88.2401i −1.71088 + 0.299119i
\(296\) −36.0287 + 20.8012i −0.121719 + 0.0702742i
\(297\) −231.900 + 113.740i −0.780809 + 0.382963i
\(298\) 25.3727 + 94.6923i 0.0851433 + 0.317759i
\(299\) 382.193 220.659i 1.27824 0.737991i
\(300\) −148.336 + 22.2822i −0.494453 + 0.0742740i
\(301\) 339.426 454.415i 1.12766 1.50968i
\(302\) 143.158 143.158i 0.474032 0.474032i
\(303\) −54.4612 + 18.4435i −0.179740 + 0.0608695i
\(304\) 41.9710 72.6960i 0.138063 0.239131i
\(305\) 183.869 502.906i 0.602848 1.64887i
\(306\) −41.6454 319.879i −0.136096 1.04536i
\(307\) 398.803 398.803i 1.29903 1.29903i 0.370003 0.929031i \(-0.379357\pi\)
0.929031 0.370003i \(-0.120643\pi\)
\(308\) −82.9001 105.188i −0.269156 0.341520i
\(309\) −303.123 + 202.226i −0.980982 + 0.654453i
\(310\) 58.7696 + 5.22750i 0.189579 + 0.0168629i
\(311\) 56.7724 98.3327i 0.182548 0.316182i −0.760200 0.649690i \(-0.774899\pi\)
0.942748 + 0.333507i \(0.108232\pi\)
\(312\) −71.9528 + 81.9276i −0.230618 + 0.262588i
\(313\) −86.0751 + 321.237i −0.275000 + 1.02632i 0.680841 + 0.732432i \(0.261615\pi\)
−0.955841 + 0.293884i \(0.905052\pi\)
\(314\) 152.158i 0.484580i
\(315\) −259.839 178.070i −0.824884 0.565302i
\(316\) 79.8799 0.252785
\(317\) 476.486 + 127.674i 1.50311 + 0.402757i 0.914140 0.405398i \(-0.132867\pi\)
0.588970 + 0.808155i \(0.299534\pi\)
\(318\) 2.36635 + 2.07825i 0.00744136 + 0.00653536i
\(319\) 50.3809 + 29.0874i 0.157934 + 0.0911832i
\(320\) −25.6671 30.6790i −0.0802096 0.0958719i
\(321\) 65.2207 + 97.7615i 0.203180 + 0.304553i
\(322\) −126.025 + 315.759i −0.391384 + 0.980617i
\(323\) −376.082 376.082i −1.16434 1.16434i
\(324\) −156.359 42.3781i −0.482589 0.130797i
\(325\) 263.691 183.502i 0.811357 0.564621i
\(326\) −100.094 57.7892i −0.307036 0.177267i
\(327\) 28.3684 + 83.7683i 0.0867536 + 0.256172i
\(328\) −110.653 110.653i −0.337357 0.337357i
\(329\) −63.5182 + 536.029i −0.193065 + 1.62927i
\(330\) 140.013 + 146.895i 0.424281 + 0.445137i
\(331\) 279.109 + 483.431i 0.843229 + 1.46052i 0.887150 + 0.461481i \(0.152682\pi\)
−0.0439211 + 0.999035i \(0.513985\pi\)
\(332\) 144.750 38.7857i 0.435995 0.116824i
\(333\) 131.220 + 17.4673i 0.394055 + 0.0524544i
\(334\) 27.5502 + 47.7184i 0.0824858 + 0.142870i
\(335\) 68.8263 97.9916i 0.205452 0.292512i
\(336\) 4.46805 83.8811i 0.0132978 0.249646i
\(337\) −123.082 123.082i −0.365227 0.365227i 0.500506 0.865733i \(-0.333147\pi\)
−0.865733 + 0.500506i \(0.833147\pi\)
\(338\) −1.41667 + 5.28707i −0.00419132 + 0.0156422i
\(339\) 5.05240 + 77.9426i 0.0149038 + 0.229919i
\(340\) −229.851 + 106.776i −0.676032 + 0.314047i
\(341\) −39.9113 69.1284i −0.117042 0.202723i
\(342\) −246.917 + 101.861i −0.721978 + 0.297839i
\(343\) 311.553 143.471i 0.908316 0.418284i
\(344\) −229.179 −0.666217
\(345\) 145.225 494.253i 0.420941 1.43262i
\(346\) 202.020 + 116.636i 0.583874 + 0.337100i
\(347\) −109.624 409.122i −0.315919 1.17903i −0.923131 0.384486i \(-0.874379\pi\)
0.607212 0.794540i \(-0.292288\pi\)
\(348\) 11.7036 + 34.5592i 0.0336310 + 0.0993081i
\(349\) −411.943 −1.18035 −0.590176 0.807275i \(-0.700942\pi\)
−0.590176 + 0.807275i \(0.700942\pi\)
\(350\) −72.0441 + 236.769i −0.205840 + 0.676483i
\(351\) 340.436 66.9546i 0.969903 0.190754i
\(352\) −14.0061 + 52.2715i −0.0397901 + 0.148499i
\(353\) −27.9987 104.493i −0.0793164 0.296013i 0.914861 0.403769i \(-0.132300\pi\)
−0.994177 + 0.107756i \(0.965633\pi\)
\(354\) 28.1228 + 433.846i 0.0794431 + 1.22555i
\(355\) 84.3905 + 100.869i 0.237720 + 0.284139i
\(356\) 56.0373 0.157408
\(357\) −506.037 164.901i −1.41747 0.461906i
\(358\) −83.6940 + 83.6940i −0.233782 + 0.233782i
\(359\) −124.744 216.062i −0.347475 0.601845i 0.638325 0.769767i \(-0.279628\pi\)
−0.985800 + 0.167922i \(0.946294\pi\)
\(360\) 5.18489 + 127.174i 0.0144025 + 0.353260i
\(361\) −39.6959 + 68.7553i −0.109961 + 0.190458i
\(362\) −20.1260 + 75.1114i −0.0555968 + 0.207490i
\(363\) −17.3189 + 86.7426i −0.0477106 + 0.238960i
\(364\) 70.9931 + 165.304i 0.195036 + 0.454132i
\(365\) 22.4861 32.0146i 0.0616056 0.0877112i
\(366\) −407.356 201.250i −1.11299 0.549862i
\(367\) 139.286 + 519.821i 0.379525 + 1.41641i 0.846619 + 0.532199i \(0.178634\pi\)
−0.467094 + 0.884208i \(0.654699\pi\)
\(368\) 132.692 35.5546i 0.360575 0.0966158i
\(369\) 64.2848 + 493.772i 0.174214 + 1.33814i
\(370\) −17.9120 102.452i −0.0484108 0.276897i
\(371\) 4.77455 2.05053i 0.0128694 0.00552703i
\(372\) 9.80238 49.0956i 0.0263505 0.131977i
\(373\) 589.100 + 157.849i 1.57936 + 0.423187i 0.938727 0.344662i \(-0.112007\pi\)
0.640630 + 0.767850i \(0.278673\pi\)
\(374\) 296.941 + 171.439i 0.793959 + 0.458392i
\(375\) 75.0210 367.419i 0.200056 0.979784i
\(376\) 188.883 109.052i 0.502350 0.290032i
\(377\) −55.2569 55.2569i −0.146570 0.146570i
\(378\) −174.054 + 202.848i −0.460461 + 0.536634i
\(379\) 119.286i 0.314738i 0.987540 + 0.157369i \(0.0503011\pi\)
−0.987540 + 0.157369i \(0.949699\pi\)
\(380\) 134.659 + 160.954i 0.354366 + 0.423562i
\(381\) −6.95960 107.365i −0.0182667 0.281797i
\(382\) 289.719 77.6299i 0.758426 0.203220i
\(383\) −652.929 174.952i −1.70478 0.456793i −0.730641 0.682762i \(-0.760779\pi\)
−0.974135 + 0.225969i \(0.927445\pi\)
\(384\) −28.2346 + 18.8364i −0.0735275 + 0.0490531i
\(385\) 318.147 104.349i 0.826355 0.271038i
\(386\) 108.685i 0.281567i
\(387\) 577.909 + 444.765i 1.49330 + 1.14926i
\(388\) 53.0917 14.2259i 0.136834 0.0366646i
\(389\) 28.8116 49.9032i 0.0740658 0.128286i −0.826614 0.562770i \(-0.809736\pi\)
0.900680 + 0.434484i \(0.143069\pi\)
\(390\) −130.597 239.275i −0.334864 0.613527i
\(391\) 870.397i 2.22608i
\(392\) −121.780 66.1644i −0.310662 0.168787i
\(393\) 5.14401 25.7640i 0.0130891 0.0655572i
\(394\) −284.894 + 164.483i −0.723080 + 0.417471i
\(395\) −68.5732 + 187.557i −0.173603 + 0.474828i
\(396\) 136.761 104.629i 0.345357 0.264214i
\(397\) −388.409 104.074i −0.978360 0.262151i −0.266006 0.963971i \(-0.585704\pi\)
−0.712354 + 0.701821i \(0.752371\pi\)
\(398\) 245.745 245.745i 0.617449 0.617449i
\(399\) −23.4411 + 440.072i −0.0587495 + 1.10294i
\(400\) 94.0680 33.9295i 0.235170 0.0848238i
\(401\) −137.547 + 79.4128i −0.343010 + 0.198037i −0.661602 0.749855i \(-0.730123\pi\)
0.318592 + 0.947892i \(0.396790\pi\)
\(402\) −76.3455 67.0503i −0.189914 0.166792i
\(403\) 27.7516 + 103.570i 0.0688625 + 0.256998i
\(404\) 33.1973 19.1665i 0.0821715 0.0474418i
\(405\) 233.730 330.749i 0.577112 0.816665i
\(406\) 59.7825 + 7.08409i 0.147248 + 0.0174485i
\(407\) −99.4957 + 99.4957i −0.244461 + 0.244461i
\(408\) 68.9800 + 203.689i 0.169069 + 0.499238i
\(409\) 357.161 618.622i 0.873255 1.51252i 0.0146451 0.999893i \(-0.495338\pi\)
0.858610 0.512629i \(-0.171329\pi\)
\(410\) 354.803 164.822i 0.865373 0.402005i
\(411\) 73.5475 148.870i 0.178948 0.362214i
\(412\) 171.774 171.774i 0.416928 0.416928i
\(413\) 666.210 + 265.897i 1.61310 + 0.643819i
\(414\) −403.602 167.857i −0.974885 0.405452i
\(415\) −33.1929 + 373.168i −0.0799829 + 0.899199i
\(416\) 36.3461 62.9532i 0.0873704 0.151330i
\(417\) 6.01031 + 5.27854i 0.0144132 + 0.0126584i
\(418\) 73.4814 274.236i 0.175793 0.656068i
\(419\) 107.181i 0.255801i 0.991787 + 0.127901i \(0.0408239\pi\)
−0.991787 + 0.127901i \(0.959176\pi\)
\(420\) 193.116 + 82.4990i 0.459801 + 0.196426i
\(421\) 600.952 1.42744 0.713719 0.700432i \(-0.247009\pi\)
0.713719 + 0.700432i \(0.247009\pi\)
\(422\) 436.983 + 117.089i 1.03550 + 0.277462i
\(423\) −687.934 91.5738i −1.62632 0.216487i
\(424\) −1.81831 1.04980i −0.00428846 0.00247595i
\(425\) −53.3927 631.350i −0.125630 1.48553i
\(426\) 92.8321 61.9320i 0.217916 0.145380i
\(427\) −588.777 + 464.023i −1.37887 + 1.08670i
\(428\) −55.3997 55.3997i −0.129438 0.129438i
\(429\) −163.350 + 330.641i −0.380768 + 0.770725i
\(430\) 196.739 538.110i 0.457533 1.25142i
\(431\) −16.2301 9.37047i −0.0376569 0.0217412i 0.481053 0.876691i \(-0.340254\pi\)
−0.518710 + 0.854950i \(0.673588\pi\)
\(432\) 107.753 + 7.29575i 0.249429 + 0.0168883i
\(433\) −54.7566 54.7566i −0.126459 0.126459i 0.641045 0.767503i \(-0.278501\pi\)
−0.767503 + 0.641045i \(0.778501\pi\)
\(434\) −66.1786 49.4321i −0.152485 0.113899i
\(435\) −91.1917 2.18756i −0.209636 0.00502887i
\(436\) −29.4805 51.0617i −0.0676158 0.117114i
\(437\) −696.150 + 186.533i −1.59302 + 0.426849i
\(438\) −24.9426 21.9058i −0.0569467 0.0500133i
\(439\) 32.3014 + 55.9477i 0.0735795 + 0.127443i 0.900468 0.434923i \(-0.143224\pi\)
−0.826888 + 0.562366i \(0.809891\pi\)
\(440\) −110.709 77.7589i −0.251612 0.176725i
\(441\) 178.681 + 403.180i 0.405172 + 0.914241i
\(442\) −325.679 325.679i −0.736831 0.736831i
\(443\) 80.4734 300.331i 0.181656 0.677948i −0.813666 0.581332i \(-0.802532\pi\)
0.995322 0.0966154i \(-0.0308017\pi\)
\(444\) −88.0671 + 5.70870i −0.198349 + 0.0128574i
\(445\) −48.1054 + 131.575i −0.108102 + 0.295674i
\(446\) −72.0790 124.845i −0.161612 0.279921i
\(447\) −40.7172 + 203.934i −0.0910899 + 0.456227i
\(448\) 8.02794 + 55.4216i 0.0179195 + 0.123709i
\(449\) 497.661 1.10838 0.554188 0.832392i \(-0.313029\pi\)
0.554188 + 0.832392i \(0.313029\pi\)
\(450\) −303.053 96.9985i −0.673452 0.215552i
\(451\) −458.364 264.637i −1.01633 0.586778i
\(452\) −13.4769 50.2965i −0.0298162 0.111275i
\(453\) 406.780 137.757i 0.897968 0.304100i
\(454\) 434.592 0.957251
\(455\) −449.076 + 24.7855i −0.986981 + 0.0544735i
\(456\) 148.129 98.8229i 0.324845 0.216717i
\(457\) −177.266 + 661.564i −0.387890 + 1.44762i 0.445671 + 0.895197i \(0.352965\pi\)
−0.833561 + 0.552428i \(0.813702\pi\)
\(458\) −133.772 499.245i −0.292079 1.09005i
\(459\) 221.354 647.501i 0.482253 1.41068i
\(460\) −30.4277 + 342.081i −0.0661472 + 0.743653i
\(461\) −319.049 −0.692081 −0.346040 0.938220i \(-0.612474\pi\)
−0.346040 + 0.938220i \(0.612474\pi\)
\(462\) −58.8310 277.948i −0.127340 0.601620i
\(463\) 325.970 325.970i 0.704039 0.704039i −0.261236 0.965275i \(-0.584130\pi\)
0.965275 + 0.261236i \(0.0841302\pi\)
\(464\) −12.1624 21.0659i −0.0262120 0.0454006i
\(465\) 106.861 + 65.1622i 0.229809 + 0.140134i
\(466\) −143.254 + 248.124i −0.307413 + 0.532454i
\(467\) 152.747 570.058i 0.327080 1.22068i −0.585123 0.810944i \(-0.698954\pi\)
0.912204 0.409737i \(-0.134379\pi\)
\(468\) −213.825 + 88.2095i −0.456891 + 0.188482i
\(469\) −154.041 + 66.1561i −0.328446 + 0.141058i
\(470\) 93.9051 + 537.112i 0.199798 + 1.14279i
\(471\) 142.968 289.386i 0.303542 0.614409i
\(472\) −75.0156 279.962i −0.158931 0.593140i
\(473\) −748.720 + 200.619i −1.58292 + 0.424142i
\(474\) 151.922 + 75.0553i 0.320511 + 0.158345i
\(475\) −493.516 + 178.007i −1.03898 + 0.374752i
\(476\) 352.353 + 41.7530i 0.740237 + 0.0877164i
\(477\) 2.54780 + 6.17600i 0.00534129 + 0.0129476i
\(478\) 327.351 + 87.7135i 0.684835 + 0.183501i
\(479\) −188.062 108.578i −0.392614 0.226676i 0.290678 0.956821i \(-0.406119\pi\)
−0.683292 + 0.730145i \(0.739452\pi\)
\(480\) −19.9896 82.4646i −0.0416451 0.171801i
\(481\) 163.688 94.5051i 0.340307 0.196476i
\(482\) 173.965 + 173.965i 0.360923 + 0.360923i
\(483\) −536.373 + 482.121i −1.11050 + 0.998181i
\(484\) 58.9697i 0.121838i
\(485\) −12.1745 + 136.871i −0.0251021 + 0.282208i
\(486\) −257.557 227.513i −0.529953 0.468134i
\(487\) 651.185 174.484i 1.33713 0.358284i 0.481764 0.876301i \(-0.339996\pi\)
0.855370 + 0.518017i \(0.173330\pi\)
\(488\) 292.583 + 78.3975i 0.599556 + 0.160651i
\(489\) −136.068 203.957i −0.278257 0.417089i
\(490\) 259.896 229.138i 0.530399 0.467629i
\(491\) 760.336i 1.54855i 0.632852 + 0.774273i \(0.281884\pi\)
−0.632852 + 0.774273i \(0.718116\pi\)
\(492\) −106.479 314.419i −0.216421 0.639063i
\(493\) −148.871 + 39.8899i −0.301970 + 0.0809125i
\(494\) −190.685 + 330.277i −0.386002 + 0.668576i
\(495\) 128.264 + 410.934i 0.259120 + 0.830169i
\(496\) 33.3764i 0.0672911i
\(497\) −26.3950 182.220i −0.0531086 0.366640i
\(498\) 311.741 + 62.2419i 0.625985 + 0.124984i
\(499\) −131.634 + 75.9987i −0.263795 + 0.152302i −0.626064 0.779771i \(-0.715335\pi\)
0.362270 + 0.932073i \(0.382002\pi\)
\(500\) −1.08679 + 249.998i −0.00217358 + 0.499995i
\(501\) 7.56092 + 116.641i 0.0150917 + 0.232816i
\(502\) −21.8224 5.84729i −0.0434709 0.0116480i
\(503\) −151.056 + 151.056i −0.300310 + 0.300310i −0.841135 0.540825i \(-0.818112\pi\)
0.540825 + 0.841135i \(0.318112\pi\)
\(504\) 87.3126 155.334i 0.173239 0.308202i
\(505\) 16.5043 + 94.4004i 0.0326819 + 0.186932i
\(506\) 402.376 232.312i 0.795209 0.459114i
\(507\) −7.66207 + 8.72427i −0.0151126 + 0.0172076i
\(508\) 18.5642 + 69.2826i 0.0365437 + 0.136383i
\(509\) 158.311 91.4010i 0.311024 0.179570i −0.336361 0.941733i \(-0.609196\pi\)
0.647385 + 0.762163i \(0.275863\pi\)
\(510\) −537.476 12.8933i −1.05387 0.0252809i
\(511\) −50.3263 + 21.6137i −0.0984860 + 0.0422968i
\(512\) 16.0000 16.0000i 0.0312500 0.0312500i
\(513\) −565.315 38.2762i −1.10198 0.0746126i
\(514\) −83.9885 + 145.472i −0.163402 + 0.283020i
\(515\) 255.864 + 550.785i 0.496824 + 1.06949i
\(516\) −435.871 215.337i −0.844710 0.417320i
\(517\) 521.615 521.615i 1.00893 1.00893i
\(518\) −53.9749 + 135.235i −0.104199 + 0.261071i
\(519\) 274.626 + 411.647i 0.529145 + 0.793155i
\(520\) 116.612 + 139.383i 0.224254 + 0.268044i
\(521\) −175.787 + 304.471i −0.337402 + 0.584398i −0.983943 0.178481i \(-0.942882\pi\)
0.646541 + 0.762879i \(0.276215\pi\)
\(522\) −10.2131 + 76.7242i −0.0195653 + 0.146981i
\(523\) −154.454 + 576.429i −0.295322 + 1.10216i 0.645639 + 0.763643i \(0.276591\pi\)
−0.940961 + 0.338515i \(0.890075\pi\)
\(524\) 17.5150i 0.0334255i
\(525\) −359.488 + 382.614i −0.684739 + 0.728788i
\(526\) 1.16977 0.00222389
\(527\) 204.268 + 54.7335i 0.387606 + 0.103859i
\(528\) −75.7524 + 86.2540i −0.143470 + 0.163360i
\(529\) −563.306 325.225i −1.06485 0.614792i
\(530\) 4.02585 3.36816i 0.00759595 0.00635503i
\(531\) −354.157 + 851.548i −0.666962 + 1.60367i
\(532\) −42.1176 290.763i −0.0791684 0.546546i
\(533\) 502.726 + 502.726i 0.943200 + 0.943200i
\(534\) 106.576 + 52.6528i 0.199581 + 0.0986007i
\(535\) 177.636 82.5198i 0.332030 0.154243i
\(536\) 58.6640 + 33.8696i 0.109448 + 0.0631896i
\(537\) −237.815 + 80.5369i −0.442858 + 0.149976i
\(538\) −139.730 139.730i −0.259720 0.259720i
\(539\) −455.769 109.554i −0.845583 0.203253i
\(540\) −109.632 + 246.741i −0.203021 + 0.456927i
\(541\) −96.8750 167.792i −0.179067 0.310152i 0.762494 0.646995i \(-0.223974\pi\)
−0.941561 + 0.336842i \(0.890641\pi\)
\(542\) −559.960 + 150.041i −1.03314 + 0.276828i
\(543\) −108.852 + 123.942i −0.200464 + 0.228255i
\(544\) −71.6840 124.160i −0.131772 0.228236i
\(545\) 145.200 25.3858i 0.266422 0.0465795i
\(546\) −20.2995 + 381.093i −0.0371786 + 0.697973i
\(547\) −570.554 570.554i −1.04306 1.04306i −0.999030 0.0440307i \(-0.985980\pi\)
−0.0440307 0.999030i \(-0.514020\pi\)
\(548\) −28.6507 + 106.926i −0.0522823 + 0.195120i
\(549\) −585.647 765.505i −1.06675 1.39436i
\(550\) 277.616 193.192i 0.504756 0.351259i
\(551\) 63.8085 + 110.520i 0.115805 + 0.200580i
\(552\) 285.771 + 57.0567i 0.517701 + 0.103364i
\(553\) 219.583 173.056i 0.397075 0.312940i
\(554\) 560.450 1.01164
\(555\) 62.1975 211.681i 0.112068 0.381408i
\(556\) −4.61833 2.66639i −0.00830635 0.00479567i
\(557\) 252.682 + 943.021i 0.453648 + 1.69304i 0.692033 + 0.721866i \(0.256715\pi\)
−0.238385 + 0.971171i \(0.576618\pi\)
\(558\) 64.7733 84.1635i 0.116081 0.150831i
\(559\) 1041.22 1.86264
\(560\) −137.021 28.7273i −0.244680 0.0512988i
\(561\) 403.661 + 605.062i 0.719539 + 1.07854i
\(562\) 121.901 454.940i 0.216905 0.809501i
\(563\) −95.8093 357.565i −0.170176 0.635107i −0.997323 0.0731209i \(-0.976704\pi\)
0.827147 0.561986i \(-0.189963\pi\)
\(564\) 461.699 29.9283i 0.818615 0.0530644i
\(565\) 129.665 + 11.5336i 0.229496 + 0.0204134i
\(566\) 16.4833 0.0291224
\(567\) −521.626 + 222.250i −0.919976 + 0.391975i
\(568\) −52.6062 + 52.6062i −0.0926166 + 0.0926166i
\(569\) 193.008 + 334.300i 0.339206 + 0.587522i 0.984284 0.176595i \(-0.0565083\pi\)
−0.645078 + 0.764117i \(0.723175\pi\)
\(570\) 104.873 + 432.641i 0.183988 + 0.759019i
\(571\) −428.573 + 742.309i −0.750565 + 1.30002i 0.196984 + 0.980407i \(0.436885\pi\)
−0.947549 + 0.319610i \(0.896448\pi\)
\(572\) 63.6334 237.483i 0.111247 0.415180i
\(573\) 623.951 + 124.578i 1.08892 + 0.217413i
\(574\) −543.900 64.4509i −0.947560 0.112284i
\(575\) −777.081 365.104i −1.35145 0.634964i
\(576\) −71.3975 + 9.29533i −0.123954 + 0.0161377i
\(577\) 203.883 + 760.902i 0.353350 + 1.31872i 0.882548 + 0.470222i \(0.155826\pi\)
−0.529198 + 0.848498i \(0.677507\pi\)
\(578\) −482.651 + 129.326i −0.835037 + 0.223747i
\(579\) 102.121 206.706i 0.176374 0.357005i
\(580\) 59.9033 10.4731i 0.103282 0.0180571i
\(581\) 313.878 420.212i 0.540237 0.723257i
\(582\) 114.341 + 22.8292i 0.196462 + 0.0392254i
\(583\) −6.85934 1.83795i −0.0117656 0.00315258i
\(584\) 19.1659 + 11.0655i 0.0328184 + 0.0189477i
\(585\) −23.5563 577.782i −0.0402672 0.987662i
\(586\) 314.338 181.483i 0.536412 0.309698i
\(587\) −333.048 333.048i −0.567373 0.567373i 0.364019 0.931392i \(-0.381404\pi\)
−0.931392 + 0.364019i \(0.881404\pi\)
\(588\) −169.442 240.261i −0.288166 0.408607i
\(589\) 175.105i 0.297292i
\(590\) 721.745 + 64.1985i 1.22330 + 0.108811i
\(591\) −696.382 + 45.1410i −1.17831 + 0.0763807i
\(592\) 56.8299 15.2275i 0.0959964 0.0257222i
\(593\) 665.312 + 178.270i 1.12194 + 0.300624i 0.771669 0.636024i \(-0.219422\pi\)
0.350273 + 0.936648i \(0.386089\pi\)
\(594\) 358.413 70.4903i 0.603390 0.118671i
\(595\) −400.514 + 791.478i −0.673133 + 1.33021i
\(596\) 138.639i 0.232616i
\(597\) 698.279 236.475i 1.16965 0.396105i
\(598\) −602.852 + 161.534i −1.00811 + 0.270123i
\(599\) −58.2807 + 100.945i −0.0972967 + 0.168523i −0.910565 0.413366i \(-0.864353\pi\)
0.813268 + 0.581889i \(0.197686\pi\)
\(600\) 210.786 + 23.8566i 0.351310 + 0.0397610i
\(601\) 381.747i 0.635187i 0.948227 + 0.317594i \(0.102875\pi\)
−0.948227 + 0.317594i \(0.897125\pi\)
\(602\) −629.991 + 496.504i −1.04650 + 0.824758i
\(603\) −82.1994 199.256i −0.136317 0.330441i
\(604\) −247.956 + 143.158i −0.410523 + 0.237016i
\(605\) 138.460 + 50.6228i 0.228860 + 0.0836740i
\(606\) 81.1461 5.26007i 0.133905 0.00867998i
\(607\) 1061.20 + 284.347i 1.74827 + 0.468446i 0.984254 0.176757i \(-0.0565608\pi\)
0.764011 + 0.645204i \(0.223227\pi\)
\(608\) −83.9421 + 83.9421i −0.138063 + 0.138063i
\(609\) 107.043 + 69.6449i 0.175768 + 0.114359i
\(610\) −435.246 + 619.682i −0.713518 + 1.01587i
\(611\) −858.146 + 495.451i −1.40449 + 0.810885i
\(612\) −60.1950 + 452.206i −0.0983579 + 0.738898i
\(613\) 109.900 + 410.152i 0.179282 + 0.669090i 0.995783 + 0.0917453i \(0.0292446\pi\)
−0.816500 + 0.577345i \(0.804089\pi\)
\(614\) −690.748 + 398.803i −1.12500 + 0.649517i
\(615\) 829.660 + 19.9023i 1.34904 + 0.0323615i
\(616\) 74.7421 + 174.033i 0.121335 + 0.282521i
\(617\) −262.126 + 262.126i −0.424839 + 0.424839i −0.886866 0.462027i \(-0.847122\pi\)
0.462027 + 0.886866i \(0.347122\pi\)
\(618\) 488.094 165.295i 0.789796 0.267467i
\(619\) −77.9948 + 135.091i −0.126001 + 0.218241i −0.922124 0.386895i \(-0.873548\pi\)
0.796123 + 0.605135i \(0.206881\pi\)
\(620\) −78.3674 28.6521i −0.126399 0.0462130i
\(621\) −609.884 698.470i −0.982100 1.12475i
\(622\) −113.545 + 113.545i −0.182548 + 0.182548i
\(623\) 154.041 121.402i 0.247257 0.194867i
\(624\) 128.277 85.5787i 0.205572 0.137145i
\(625\) −586.059 217.163i −0.937694 0.347461i
\(626\) 235.162 407.312i 0.375658 0.650658i
\(627\) 397.426 452.521i 0.633853 0.721724i
\(628\) −55.6937 + 207.852i −0.0886843 + 0.330974i
\(629\) 372.778i 0.592652i
\(630\) 289.768 + 338.356i 0.459949 + 0.537072i
\(631\) −1109.60 −1.75848 −0.879242 0.476376i \(-0.841950\pi\)
−0.879242 + 0.476376i \(0.841950\pi\)
\(632\) −109.118 29.2381i −0.172655 0.0462628i
\(633\) 721.071 + 633.279i 1.13913 + 1.00044i
\(634\) −604.160 348.812i −0.952933 0.550176i
\(635\) −178.611 15.8873i −0.281278 0.0250194i
\(636\) −2.47181 3.70508i −0.00388649 0.00582560i
\(637\) 553.276 + 300.602i 0.868565 + 0.471903i
\(638\) −58.1749 58.1749i −0.0911832 0.0911832i
\(639\) 234.747 30.5620i 0.367366 0.0478279i
\(640\) 23.8326 + 51.3031i 0.0372384 + 0.0801611i
\(641\) −650.960 375.832i −1.01554 0.586322i −0.102730 0.994709i \(-0.532758\pi\)
−0.912809 + 0.408388i \(0.866091\pi\)
\(642\) −53.3099 157.417i −0.0830372 0.245198i
\(643\) −854.052 854.052i −1.32823 1.32823i −0.906914 0.421316i \(-0.861568\pi\)
−0.421316 0.906914i \(-0.638432\pi\)
\(644\) 287.730 385.206i 0.446785 0.598146i
\(645\) 879.784 838.563i 1.36401 1.30010i
\(646\) 376.082 + 651.392i 0.582170 + 1.00835i
\(647\) −164.893 + 44.1828i −0.254857 + 0.0682888i −0.383986 0.923339i \(-0.625449\pi\)
0.129128 + 0.991628i \(0.458782\pi\)
\(648\) 198.079 + 115.121i 0.305677 + 0.177656i
\(649\) −490.147 848.960i −0.755235 1.30810i
\(650\) −427.375 + 154.151i −0.657500 + 0.237155i
\(651\) −79.4172 156.196i −0.121993 0.239932i
\(652\) 115.578 + 115.578i 0.177267 + 0.177267i
\(653\) 34.6194 129.201i 0.0530159 0.197858i −0.934338 0.356387i \(-0.884008\pi\)
0.987354 + 0.158529i \(0.0506751\pi\)
\(654\) −8.09066 124.813i −0.0123710 0.190846i
\(655\) −41.1250 15.0358i −0.0627863 0.0229554i
\(656\) 110.653 + 191.657i 0.168679 + 0.292160i
\(657\) −26.8551 65.0984i −0.0408754 0.0990843i
\(658\) 282.968 708.980i 0.430042 1.07748i
\(659\) 88.9446 0.134969 0.0674845 0.997720i \(-0.478503\pi\)
0.0674845 + 0.997720i \(0.478503\pi\)
\(660\) −137.494 251.911i −0.208324 0.381683i
\(661\) −628.264 362.728i −0.950474 0.548757i −0.0572462 0.998360i \(-0.518232\pi\)
−0.893228 + 0.449603i \(0.851565\pi\)
\(662\) −204.322 762.540i −0.308643 1.15187i
\(663\) −313.394 925.412i −0.472690 1.39579i
\(664\) −211.929 −0.319170
\(665\) 718.864 + 150.714i 1.08100 + 0.226638i
\(666\) −172.857 71.8908i −0.259545 0.107944i
\(667\) −54.0536 + 201.731i −0.0810399 + 0.302445i
\(668\) −20.1682 75.2687i −0.0301919 0.112678i
\(669\) −19.7814 305.165i −0.0295687 0.456151i
\(670\) −129.886 + 108.667i −0.193860 + 0.162189i
\(671\) 1024.49 1.52681
\(672\) −36.8061 + 112.948i −0.0547709 + 0.168078i
\(673\) 656.032 656.032i 0.974787 0.974787i −0.0249030 0.999690i \(-0.507928\pi\)
0.999690 + 0.0249030i \(0.00792768\pi\)
\(674\) 123.082 + 213.184i 0.182614 + 0.316296i
\(675\) −485.231 469.229i −0.718861 0.695154i
\(676\) 3.87040 6.70373i 0.00572545 0.00991677i
\(677\) 318.399 1188.28i 0.470309 1.75522i −0.168350 0.985727i \(-0.553844\pi\)
0.638659 0.769490i \(-0.279490\pi\)
\(678\) 21.6273 108.321i 0.0318986 0.159765i
\(679\) 115.124 154.126i 0.169550 0.226990i
\(680\) 353.065 61.7275i 0.519213 0.0907757i
\(681\) 826.542 + 408.344i 1.21372 + 0.599624i
\(682\) 29.2171 + 109.040i 0.0428403 + 0.159882i
\(683\) −699.493 + 187.428i −1.02415 + 0.274419i −0.731529 0.681810i \(-0.761193\pi\)
−0.292618 + 0.956229i \(0.594526\pi\)
\(684\) 374.578 48.7668i 0.547629 0.0712965i
\(685\) −226.466 159.062i −0.330607 0.232208i
\(686\) −478.103 + 81.9493i −0.696943 + 0.119460i
\(687\) 214.673 1075.20i 0.312479 1.56506i
\(688\) 313.064 + 83.8853i 0.455035 + 0.121926i
\(689\) 8.26104 + 4.76952i 0.0119899 + 0.00692237i
\(690\) −379.290 + 622.006i −0.549695 + 0.901458i
\(691\) −146.238 + 84.4306i −0.211633 + 0.122186i −0.602070 0.798443i \(-0.705657\pi\)
0.390437 + 0.920630i \(0.372324\pi\)
\(692\) −233.273 233.273i −0.337100 0.337100i
\(693\) 149.271 583.902i 0.215399 0.842572i
\(694\) 598.996i 0.863107i
\(695\) 10.2253 8.55481i 0.0147126 0.0123091i
\(696\) −3.33786 51.4926i −0.00479577 0.0739836i
\(697\) 1354.43 362.917i 1.94322 0.520684i
\(698\) 562.724 + 150.781i 0.806195 + 0.216019i
\(699\) −505.590 + 337.299i −0.723305 + 0.482545i
\(700\) 185.078 297.063i 0.264397 0.424375i
\(701\) 351.512i 0.501444i −0.968059 0.250722i \(-0.919332\pi\)
0.968059 0.250722i \(-0.0806679\pi\)
\(702\) −489.551 33.1465i −0.697366 0.0472172i
\(703\) −298.151 + 79.8893i −0.424112 + 0.113641i
\(704\) 38.2654 66.2776i 0.0543543 0.0941444i
\(705\) −326.076 + 1109.76i −0.462519 + 1.57412i
\(706\) 152.988i 0.216696i
\(707\) 49.7331 124.607i 0.0703439 0.176248i
\(708\) 120.382 602.939i 0.170031 0.851608i
\(709\) 349.097 201.551i 0.492380 0.284276i −0.233181 0.972433i \(-0.574914\pi\)
0.725561 + 0.688158i \(0.241580\pi\)
\(710\) −78.3589 168.679i −0.110365 0.237576i
\(711\) 218.415 + 285.493i 0.307194 + 0.401537i
\(712\) −76.5484 20.5111i −0.107512 0.0288077i
\(713\) 202.630 202.630i 0.284194 0.284194i
\(714\) 630.901 + 410.481i 0.883615 + 0.574903i
\(715\) 502.982 + 353.279i 0.703471 + 0.494096i
\(716\) 144.962 83.6940i 0.202461 0.116891i
\(717\) 540.167 + 474.401i 0.753371 + 0.661647i
\(718\) 91.3187 + 340.806i 0.127185 + 0.474660i
\(719\) 460.328 265.771i 0.640234 0.369639i −0.144471 0.989509i \(-0.546148\pi\)
0.784705 + 0.619870i \(0.212815\pi\)
\(720\) 39.4661 175.620i 0.0548140 0.243917i
\(721\) 100.052 844.333i 0.138768 1.17106i
\(722\) 79.3918 79.3918i 0.109961 0.109961i
\(723\) 167.402 + 494.318i 0.231539 + 0.683704i
\(724\) 54.9853 95.2374i 0.0759466 0.131543i
\(725\) −26.8335 + 149.643i −0.0370117 + 0.206404i
\(726\) 55.4081 112.153i 0.0763197 0.154481i
\(727\) −347.052 + 347.052i −0.477376 + 0.477376i −0.904292 0.426915i \(-0.859600\pi\)
0.426915 + 0.904292i \(0.359600\pi\)
\(728\) −36.4730 251.795i −0.0501003 0.345872i
\(729\) −276.071 674.704i −0.378698 0.925520i
\(730\) −42.4347 + 35.5023i −0.0581297 + 0.0486332i
\(731\) 1026.78 1778.43i 1.40462 2.43288i
\(732\) 482.796 + 424.015i 0.659557 + 0.579255i
\(733\) −117.195 + 437.379i −0.159885 + 0.596698i 0.838753 + 0.544512i \(0.183285\pi\)
−0.998637 + 0.0521851i \(0.983381\pi\)
\(734\) 761.071i 1.03688i
\(735\) 709.589 191.595i 0.965427 0.260673i
\(736\) −194.274 −0.263959
\(737\) 221.302 + 59.2978i 0.300274 + 0.0804583i
\(738\) 92.9184 698.035i 0.125906 0.945847i
\(739\) −41.1344 23.7489i −0.0556622 0.0321366i 0.471911 0.881646i \(-0.343564\pi\)
−0.527573 + 0.849510i \(0.676898\pi\)
\(740\) −13.0317 + 146.508i −0.0176105 + 0.197984i
\(741\) −672.989 + 448.978i −0.908217 + 0.605908i
\(742\) −7.27270 + 1.05347i −0.00980149 + 0.00141977i
\(743\) 437.774 + 437.774i 0.589197 + 0.589197i 0.937414 0.348217i \(-0.113213\pi\)
−0.348217 + 0.937414i \(0.613213\pi\)
\(744\) −31.3605 + 63.4779i −0.0421512 + 0.0853197i
\(745\) 325.523 + 119.015i 0.436944 + 0.159752i
\(746\) −746.949 431.251i −1.00127 0.578085i
\(747\) 534.411 + 411.289i 0.715409 + 0.550587i
\(748\) −342.877 342.877i −0.458392 0.458392i
\(749\) −272.309 32.2680i −0.363564 0.0430815i
\(750\) −236.965 + 474.444i −0.315954 + 0.632592i
\(751\) 12.4219 + 21.5154i 0.0165405 + 0.0286489i 0.874177 0.485607i \(-0.161401\pi\)
−0.857637 + 0.514256i \(0.828068\pi\)
\(752\) −297.935 + 79.8315i −0.396191 + 0.106159i
\(753\) −36.0094 31.6252i −0.0478213 0.0419990i
\(754\) 55.2569 + 95.7077i 0.0732850 + 0.126933i
\(755\) −123.274 705.093i −0.163276 0.933898i
\(756\) 312.010 213.387i 0.412711 0.282258i
\(757\) −269.796 269.796i −0.356401 0.356401i 0.506083 0.862485i \(-0.331093\pi\)
−0.862485 + 0.506083i \(0.831093\pi\)
\(758\) 43.6615 162.947i 0.0576010 0.214970i
\(759\) 983.551 63.7559i 1.29585 0.0839998i
\(760\) −125.035