Properties

Label 210.3.w.b.17.7
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 17.7
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.b.173.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36603 + 0.366025i) q^{2} +(-0.962278 + 2.84148i) q^{3} +(1.73205 + 1.00000i) q^{4} +(3.83488 - 3.20838i) q^{5} +(-2.35455 + 3.52932i) q^{6} +(6.92770 - 1.00349i) q^{7} +(2.00000 + 2.00000i) q^{8} +(-7.14804 - 5.46859i) q^{9} +O(q^{10})\) \(q+(1.36603 + 0.366025i) q^{2} +(-0.962278 + 2.84148i) 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} +(-7.14804 - 5.46859i) q^{9} +(6.41289 - 2.97907i) q^{10} +(8.28471 + 4.78318i) q^{11} +(-4.50820 + 3.95931i) q^{12} +(9.08652 + 9.08652i) q^{13} +(9.83072 + 1.16492i) q^{14} +(5.42635 + 13.9841i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-24.4806 + 6.55954i) q^{17} +(-7.76277 - 10.0866i) q^{18} +(-10.4928 - 18.1740i) q^{19} +(9.85058 - 1.72221i) q^{20} +(-3.81496 + 20.6506i) q^{21} +(9.56635 + 9.56635i) q^{22} +(-8.88865 + 33.1729i) q^{23} +(-7.60752 + 3.75841i) q^{24} +(4.41254 - 24.6075i) q^{25} +(9.08652 + 15.7383i) q^{26} +(22.4173 - 15.0487i) q^{27} +(13.0026 + 5.18960i) q^{28} +6.08119 q^{29} +(2.29400 + 21.0888i) q^{30} +(7.22620 + 4.17205i) q^{31} +(1.46410 + 5.46410i) q^{32} +(-21.5635 + 18.9381i) 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} +(-34.5629 + 17.0754i) q^{39} +(14.0865 + 1.25298i) q^{40} -55.3266 q^{41} +(-12.7700 + 26.8128i) q^{42} +(57.2947 - 57.2947i) q^{43} +(9.56635 + 16.5694i) q^{44} +(-44.9572 + 1.96231i) q^{45} +(-24.2842 + 42.0616i) q^{46} +(19.9579 - 74.4838i) q^{47} +(-11.7677 + 2.34954i) q^{48} +(46.9860 - 13.9038i) q^{49} +(15.0346 - 31.9994i) q^{50} +(4.91826 - 75.8732i) q^{51} +(6.65179 + 24.8248i) q^{52} +(-0.717027 + 0.192127i) q^{53} +(36.1308 - 12.3517i) q^{54} +(47.1171 - 8.23763i) q^{55} +(15.8624 + 11.8484i) q^{56} +(61.7380 - 12.3266i) q^{57} +(8.30707 + 2.22587i) q^{58} +(-88.7444 - 51.2366i) q^{59} +(-4.58537 + 29.6475i) q^{60} +(-92.7452 + 53.5465i) q^{61} +(8.34410 + 8.34410i) q^{62} +(-55.0072 - 30.7117i) q^{63} +8.00000i q^{64} +(63.9987 + 5.69262i) q^{65} +(-36.3881 + 17.9771i) 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} +(-3.35891 - 25.2333i) q^{72} +(-7.55785 + 2.02512i) q^{73} +(10.4006 - 18.0143i) q^{74} +(65.6757 + 36.2174i) q^{75} -41.9710i q^{76} +(62.1938 + 24.8228i) q^{77} +(-53.4639 + 10.6746i) q^{78} +(34.5890 - 19.9700i) q^{79} +(18.7839 + 6.86763i) q^{80} +(21.1890 + 78.1794i) q^{81} +(-75.5775 - 20.2509i) q^{82} +(-52.9823 + 52.9823i) q^{83} +(-27.2583 + 31.9529i) q^{84} +(-72.8343 + 103.698i) q^{85} +(99.2373 - 57.2947i) q^{86} +(-5.85180 + 17.2796i) q^{87} +(7.00306 + 26.1358i) q^{88} +(-24.2649 + 14.0093i) q^{89} +(-62.1309 - 13.7749i) q^{90} +(72.0669 + 53.8304i) q^{91} +(-48.5685 + 48.5685i) q^{92} +(-18.8084 + 16.5184i) q^{93} +(54.5260 - 94.4417i) q^{94} +(-98.5476 - 36.0302i) q^{95} +(-16.9350 - 1.09776i) q^{96} +(19.4329 - 19.4329i) q^{97} +(69.2732 - 1.79485i) q^{98} +(-33.0622 - 79.4960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + O(q^{10}) \) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + 24q^{10} - 12q^{12} + 16q^{14} + 68q^{15} + 128q^{16} - 12q^{18} + 36q^{21} + 16q^{22} + 12q^{23} - 16q^{25} + 8q^{28} + 112q^{29} + 22q^{30} - 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} - 24q^{38} - 64q^{39} - 88q^{42} + 32q^{43} + 16q^{44} - 474q^{45} - 24q^{46} + 96q^{47} - 40q^{50} - 84q^{51} - 56q^{53} + 72q^{54} - 220q^{57} + 56q^{58} - 672q^{59} + 24q^{60} + 600q^{61} - 114q^{63} - 28q^{65} + 16q^{67} + 40q^{72} - 624q^{73} + 64q^{74} - 144q^{75} - 208q^{77} - 248q^{78} + 48q^{80} - 64q^{81} - 192q^{82} - 160q^{84} - 152q^{85} - 672q^{87} - 16q^{88} - 144q^{89} - 232q^{91} - 48q^{92} - 202q^{93} - 136q^{95} - 48q^{96} - 128q^{98} - 160q^{99} + O(q^{100}) \)

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
\(3\) −0.962278 + 2.84148i −0.320759 + 0.947161i
\(4\) 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
\(9\) −7.14804 5.46859i −0.794227 0.607621i
\(10\) 6.41289 2.97907i 0.641289 0.297907i
\(11\) 8.28471 + 4.78318i 0.753155 + 0.434834i 0.826833 0.562448i \(-0.190140\pi\)
−0.0736777 + 0.997282i \(0.523474\pi\)
\(12\) −4.50820 + 3.95931i −0.375683 + 0.329943i
\(13\) 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
\(15\) 5.42635 + 13.9841i 0.361757 + 0.932272i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) −24.4806 + 6.55954i −1.44003 + 0.385856i −0.892545 0.450958i \(-0.851082\pi\)
−0.547488 + 0.836814i \(0.684416\pi\)
\(18\) −7.76277 10.0866i −0.431265 0.560367i
\(19\) −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
\(21\) −3.81496 + 20.6506i −0.181665 + 0.983360i
\(22\) 9.56635 + 9.56635i 0.434834 + 0.434834i
\(23\) −8.88865 + 33.1729i −0.386463 + 1.44230i 0.449384 + 0.893338i \(0.351643\pi\)
−0.835848 + 0.548962i \(0.815023\pi\)
\(24\) −7.60752 + 3.75841i −0.316980 + 0.156600i
\(25\) 4.41254 24.6075i 0.176502 0.984300i
\(26\) 9.08652 + 15.7383i 0.349481 + 0.605320i
\(27\) 22.4173 15.0487i 0.830271 0.557361i
\(28\) 13.0026 + 5.18960i 0.464379 + 0.185343i
\(29\) 6.08119 0.209696 0.104848 0.994488i \(-0.466564\pi\)
0.104848 + 0.994488i \(0.466564\pi\)
\(30\) 2.29400 + 21.0888i 0.0764668 + 0.702960i
\(31\) 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
\(33\) −21.5635 + 18.9381i −0.653439 + 0.573882i
\(34\) −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
\(39\) −34.5629 + 17.0754i −0.886229 + 0.437831i
\(40\) 14.0865 + 1.25298i 0.352163 + 0.0313245i
\(41\) −55.3266 −1.34943 −0.674714 0.738079i \(-0.735733\pi\)
−0.674714 + 0.738079i \(0.735733\pi\)
\(42\) −12.7700 + 26.8128i −0.304047 + 0.638401i
\(43\) 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
\(45\) −44.9572 + 1.96231i −0.999049 + 0.0436069i
\(46\) −24.2842 + 42.0616i −0.527918 + 0.914382i
\(47\) 19.9579 74.4838i 0.424636 1.58476i −0.340081 0.940396i \(-0.610455\pi\)
0.764717 0.644366i \(-0.222879\pi\)
\(48\) −11.7677 + 2.34954i −0.245161 + 0.0489487i
\(49\) 46.9860 13.9038i 0.958898 0.283751i
\(50\) 15.0346 31.9994i 0.300692 0.639988i
\(51\) 4.91826 75.8732i 0.0964365 1.48771i
\(52\) 6.65179 + 24.8248i 0.127919 + 0.477401i
\(53\) −0.717027 + 0.192127i −0.0135288 + 0.00362504i −0.265577 0.964090i \(-0.585562\pi\)
0.252048 + 0.967715i \(0.418896\pi\)
\(54\) 36.1308 12.3517i 0.669089 0.228734i
\(55\) 47.1171 8.23763i 0.856674 0.149775i
\(56\) 15.8624 + 11.8484i 0.283257 + 0.211579i
\(57\) 61.7380 12.3266i 1.08312 0.216255i
\(58\) 8.30707 + 2.22587i 0.143225 + 0.0383771i
\(59\) −88.7444 51.2366i −1.50414 0.868417i −0.999988 0.00480253i \(-0.998471\pi\)
−0.504153 0.863614i \(-0.668195\pi\)
\(60\) −4.58537 + 29.6475i −0.0764228 + 0.494125i
\(61\) −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
\(63\) −55.0072 30.7117i −0.873130 0.487488i
\(64\) 8.00000i 0.125000i
\(65\) 63.9987 + 5.69262i 0.984595 + 0.0875788i
\(66\) −36.3881 + 17.9771i −0.551335 + 0.272381i
\(67\) −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 \(0.0593041\pi\)
−0.982695 + 0.185233i \(0.940696\pi\)
\(72\) −3.35891 25.2333i −0.0466515 0.350462i
\(73\) −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
\(75\) 65.6757 + 36.2174i 0.875676 + 0.482899i
\(76\) 41.9710i 0.552250i
\(77\) 62.1938 + 24.8228i 0.807712 + 0.322374i
\(78\) −53.4639 + 10.6746i −0.685434 + 0.136853i
\(79\) 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
\(81\) 21.1890 + 78.1794i 0.261593 + 0.965178i
\(82\) −75.5775 20.2509i −0.921677 0.246963i
\(83\) −52.9823 + 52.9823i −0.638340 + 0.638340i −0.950146 0.311806i \(-0.899066\pi\)
0.311806 + 0.950146i \(0.399066\pi\)
\(84\) −27.2583 + 31.9529i −0.324503 + 0.380391i
\(85\) −72.8343 + 103.698i −0.856875 + 1.21998i
\(86\) 99.2373 57.2947i 1.15392 0.666217i
\(87\) −5.85180 + 17.2796i −0.0672620 + 0.198616i
\(88\) 7.00306 + 26.1358i 0.0795802 + 0.296997i
\(89\) −24.2649 + 14.0093i −0.272639 + 0.157408i −0.630086 0.776525i \(-0.716980\pi\)
0.357447 + 0.933933i \(0.383647\pi\)
\(90\) −62.1309 13.7749i −0.690344 0.153055i
\(91\) 72.0669 + 53.8304i 0.791944 + 0.591543i
\(92\) −48.5685 + 48.5685i −0.527918 + 0.527918i
\(93\) −18.8084 + 16.5184i −0.202241 + 0.177618i
\(94\) 54.5260 94.4417i 0.580063 1.00470i
\(95\) −98.5476 36.0302i −1.03734 0.379265i
\(96\) −16.9350 1.09776i −0.176406 0.0114350i
\(97\) 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 −0.909560 0.415573i \(-0.863581\pi\)
0.814676 + 0.579916i \(0.196915\pi\)
\(102\) 34.4900 101.844i 0.338137 0.998475i
\(103\) 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
\(105\) 51.6251 + 91.4322i 0.491667 + 0.870783i
\(106\) −1.04980 −0.00990378
\(107\) 37.8387 + 10.1388i 0.353632 + 0.0947555i 0.431262 0.902227i \(-0.358068\pi\)
−0.0776295 + 0.996982i \(0.524735\pi\)
\(108\) 53.8766 3.64787i 0.498858 0.0337766i
\(109\) −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 0.783858 0.620940i \(-0.213249\pi\)
−0.620940 + 0.783858i \(0.713249\pi\)
\(114\) 88.8475 + 5.75929i 0.779364 + 0.0505201i
\(115\) 72.3445 + 155.732i 0.629083 + 1.35419i
\(116\) 10.5329 + 6.08119i 0.0908012 + 0.0524241i
\(117\) −15.2604 114.641i −0.130431 0.979840i
\(118\) −102.473 102.473i −0.868417 0.868417i
\(119\) −163.011 + 70.0086i −1.36984 + 0.588308i
\(120\) −17.1155 + 38.8209i −0.142629 + 0.323507i
\(121\) −14.7424 25.5346i −0.121838 0.211030i
\(122\) −146.292 + 39.1987i −1.19911 + 0.321301i
\(123\) 53.2395 157.209i 0.432842 1.27813i
\(124\) 8.34410 + 14.4524i 0.0672911 + 0.116552i
\(125\) −62.0288 108.524i −0.496231 0.868191i
\(126\) −63.8999 62.0870i −0.507142 0.492754i
\(127\) 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
\(129\) 107.668 + 217.935i 0.834639 + 1.68942i
\(130\) 85.3402 + 31.2014i 0.656463 + 0.240011i
\(131\) −4.37875 7.58421i −0.0334255 0.0578947i 0.848829 0.528668i \(-0.177308\pi\)
−0.882254 + 0.470773i \(0.843975\pi\)
\(132\) −56.2872 + 11.2383i −0.426418 + 0.0851383i
\(133\) −90.9281 115.375i −0.683670 0.867477i
\(134\) −33.8696 −0.252759
\(135\) 37.6854 129.633i 0.279151 0.960247i
\(136\) −62.0802 35.8420i −0.456472 0.263544i
\(137\) −14.3253 53.4629i −0.104565 0.390240i 0.893731 0.448604i \(-0.148078\pi\)
−0.998295 + 0.0583633i \(0.981412\pi\)
\(138\) −96.1490 109.478i −0.696732 0.793320i
\(139\) −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
\(144\) 4.64766 35.6987i 0.0322754 0.247908i
\(145\) 23.3206 19.5108i 0.160832 0.134557i
\(146\) −11.0655 −0.0757909
\(147\) −5.70623 + 146.889i −0.0388179 + 0.999246i
\(148\) 20.8012 20.8012i 0.140548 0.140548i
\(149\) 34.6598 + 60.0325i 0.232616 + 0.402903i 0.958577 0.284833i \(-0.0919382\pi\)
−0.725961 + 0.687736i \(0.758605\pi\)
\(150\) 76.4582 + 73.5129i 0.509721 + 0.490086i
\(151\) −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
\(153\) 210.860 + 86.9862i 1.37817 + 0.568537i
\(154\) 75.8726 + 56.6731i 0.492679 + 0.368007i
\(155\) 41.0971 7.18514i 0.265143 0.0463557i
\(156\) −76.9402 4.98743i −0.493206 0.0319707i
\(157\) 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
\(159\) 0.144054 2.22230i 0.000906001 0.0139767i
\(160\) 23.1456 + 16.2567i 0.144660 + 0.101605i
\(161\) −28.2891 + 238.732i −0.175709 + 1.48280i
\(162\) 0.329120 + 114.551i 0.00203160 + 0.707104i
\(163\) 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
\(165\) −21.9326 + 141.809i −0.132925 + 0.859450i
\(166\) −91.7680 + 52.9823i −0.552819 + 0.319170i
\(167\) 27.5502 + 27.5502i 0.164972 + 0.164972i 0.784765 0.619793i \(-0.212784\pi\)
−0.619793 + 0.784765i \(0.712784\pi\)
\(168\) −48.9311 + 33.6712i −0.291256 + 0.200424i
\(169\) 3.87040i 0.0229018i
\(170\) −137.450 + 114.995i −0.808528 + 0.676441i
\(171\) −24.3834 + 187.289i −0.142593 + 1.09526i
\(172\) 156.532 41.9426i 0.910070 0.243853i
\(173\) 159.328 + 42.6919i 0.920973 + 0.246774i 0.688001 0.725709i \(-0.258488\pi\)
0.232972 + 0.972483i \(0.425155\pi\)
\(174\) −14.3185 + 21.4625i −0.0822901 + 0.123348i
\(175\) 5.87529 174.901i 0.0335731 0.999436i
\(176\) 38.2654i 0.217417i
\(177\) 230.985 202.862i 1.30500 1.14611i
\(178\) −38.2742 + 10.2555i −0.215024 + 0.0576154i
\(179\) −41.8470 + 72.4811i −0.233782 + 0.404922i −0.958918 0.283683i \(-0.908444\pi\)
0.725136 + 0.688606i \(0.241777\pi\)
\(180\) −79.8305 41.5584i −0.443503 0.230880i
\(181\) 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
\(183\) −62.9047 315.060i −0.343742 1.72164i
\(184\) −84.1231 + 48.5685i −0.457191 + 0.263959i
\(185\) −30.9841 66.6978i −0.167482 0.360529i
\(186\) −31.7389 + 15.6803i −0.170639 + 0.0843025i
\(187\) −234.190 62.7509i −1.25235 0.335566i
\(188\) 109.052 109.052i 0.580063 0.580063i
\(189\) 140.199 126.749i 0.741794 0.670628i
\(190\) −121.431 85.2891i −0.639108 0.448890i
\(191\) 183.674 106.044i 0.961645 0.555206i 0.0649662 0.997887i \(-0.479306\pi\)
0.896679 + 0.442681i \(0.145973\pi\)
\(192\) −22.7319 7.69822i −0.118395 0.0400949i
\(193\) 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
\(195\) −77.7600 + 176.373i −0.398769 + 0.904478i
\(196\) 95.2859 + 22.9039i 0.486153 + 0.116857i
\(197\) −164.483 + 164.483i −0.834941 + 0.834941i −0.988188 0.153247i \(-0.951027\pi\)
0.153247 + 0.988188i \(0.451027\pi\)
\(198\) −16.0662 120.695i −0.0811427 0.609572i
\(199\) −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
\(201\) 4.64761 71.6979i 0.0231224 0.356706i
\(202\) −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
\(207\) 244.945 188.513i 1.18331 0.910691i
\(208\) −13.3036 + 49.6497i −0.0639595 + 0.238700i
\(209\) 200.755i 0.960550i
\(210\) 37.0546 + 143.795i 0.176451 + 0.684737i
\(211\) −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
\(213\) −74.7398 25.3109i −0.350891 0.118831i
\(214\) 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
\(219\) 1.51841 23.4242i 0.00693337 0.106960i
\(220\) 89.8468 + 32.8491i 0.408395 + 0.149314i
\(221\) −282.046 162.840i −1.27623 0.736831i
\(222\) 41.1792 + 46.8879i 0.185492 + 0.211207i
\(223\) 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
\(225\) −166.109 + 151.765i −0.738264 + 0.674512i
\(226\) 18.4098 + 31.8867i 0.0814593 + 0.141092i
\(227\) 296.832 79.5359i 1.30763 0.350378i 0.463300 0.886202i \(-0.346665\pi\)
0.844330 + 0.535823i \(0.179999\pi\)
\(228\) 119.260 + 40.3878i 0.523070 + 0.177139i
\(229\) 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
\(231\) −130.381 + 152.836i −0.564421 + 0.661629i
\(232\) 12.1624 + 12.1624i 0.0524241 + 0.0524241i
\(233\) −52.4347 + 195.689i −0.225042 + 0.839867i 0.757346 + 0.653013i \(0.226496\pi\)
−0.982388 + 0.186853i \(0.940171\pi\)
\(234\) 21.1155 162.189i 0.0902374 0.693114i
\(235\) −162.437 349.669i −0.691220 1.48795i
\(236\) −102.473 177.489i −0.434208 0.752071i
\(237\) 23.4601 + 117.501i 0.0989878 + 0.495784i
\(238\) −248.303 + 35.9672i −1.04329 + 0.151123i
\(239\) 239.638 1.00267 0.501334 0.865254i \(-0.332843\pi\)
0.501334 + 0.865254i \(0.332843\pi\)
\(240\) −37.5896 + 46.7656i −0.156623 + 0.194857i
\(241\) −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
\(243\) −242.535 15.0220i −0.998087 0.0618190i
\(244\) −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
\(249\) −99.5645 201.532i −0.399857 0.809365i
\(250\) −45.0105 170.950i −0.180042 0.683802i
\(251\) −15.9751 −0.0636458 −0.0318229 0.999494i \(-0.510131\pi\)
−0.0318229 + 0.999494i \(0.510131\pi\)
\(252\) −64.5635 108.201i −0.256204 0.429371i
\(253\) −232.312 + 232.312i −0.918228 + 0.918228i
\(254\) 25.3592 + 43.9234i 0.0998393 + 0.172927i
\(255\) −224.569 306.744i −0.880664 1.20292i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) −30.7419 + 114.730i −0.119618 + 0.446422i −0.999591 0.0286028i \(-0.990894\pi\)
0.879972 + 0.475025i \(0.157561\pi\)
\(258\) 67.3080 + 337.115i 0.260884 + 1.30665i
\(259\) 12.1158 102.245i 0.0467793 0.394769i
\(260\) 105.156 + 73.8586i 0.404448 + 0.284072i
\(261\) −43.4686 33.2556i −0.166547 0.127416i
\(262\) −3.20547 11.9630i −0.0122346 0.0456601i
\(263\) 0.798967 0.214082i 0.00303790 0.000814002i −0.257300 0.966332i \(-0.582833\pi\)
0.260338 + 0.965518i \(0.416166\pi\)
\(264\) −81.0032 5.25080i −0.306830 0.0198894i
\(265\) −2.13329 + 3.03728i −0.00805016 + 0.0114614i
\(266\) −81.9801 190.886i −0.308196 0.717618i
\(267\) −16.4577 82.4290i −0.0616394 0.308723i
\(268\) −46.2668 12.3972i −0.172637 0.0462580i
\(269\) −121.009 69.8648i −0.449849 0.259720i 0.257918 0.966167i \(-0.416964\pi\)
−0.707766 + 0.706447i \(0.750297\pi\)
\(270\) 98.9284 163.289i 0.366401 0.604773i
\(271\) 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
\(273\) −222.306 + 152.977i −0.814310 + 0.560355i
\(274\) 78.2752i 0.285676i
\(275\) 154.259 182.760i 0.560941 0.664582i
\(276\) −91.2701 184.743i −0.330689 0.669358i
\(277\) −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 \(-0.798103\pi\)
0.805500 0.592596i \(-0.201897\pi\)
\(282\) 215.885 + 245.814i 0.765551 + 0.871680i
\(283\) −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
\(285\) 197.209 245.350i 0.691962 0.860878i
\(286\) 173.850i 0.607866i
\(287\) −383.286 + 55.5198i −1.33549 + 0.193449i
\(288\) 19.4155 47.0642i 0.0674148 0.163417i
\(289\) 305.989 176.663i 1.05878 0.611289i
\(290\) 38.9980 18.1163i 0.134476 0.0624701i
\(291\) 36.5184 + 73.9181i 0.125493 + 0.254014i
\(292\) −15.1157 4.05024i −0.0517661 0.0138707i
\(293\) 181.483 181.483i 0.619396 0.619396i −0.325981 0.945376i \(-0.605694\pi\)
0.945376 + 0.325981i \(0.105694\pi\)
\(294\) −61.5600 + 198.566i −0.209388 + 0.675394i
\(295\) −504.710 + 88.2401i −1.71088 + 0.299119i
\(296\) 36.0287 20.8012i 0.121719 0.0702742i
\(297\) 257.702 17.4484i 0.867682 0.0587489i
\(298\) 25.3727 + 94.6923i 0.0851433 + 0.317759i
\(299\) −382.193 + 220.659i −1.27824 + 0.737991i
\(300\) 77.5363 + 128.406i 0.258454 + 0.428020i
\(301\) 339.426 454.415i 1.12766 1.50968i
\(302\) −143.158 + 143.158i −0.474032 + 0.474032i
\(303\) −37.9430 43.2031i −0.125225 0.142584i
\(304\) 41.9710 72.6960i 0.138063 0.239131i
\(305\) −183.869 + 502.906i −0.602848 + 1.64887i
\(306\) 256.200 + 196.005i 0.837256 + 0.640540i
\(307\) 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 −0.942748 0.333507i \(-0.891768\pi\)
0.760200 + 0.649690i \(0.225101\pi\)
\(312\) −103.277 34.9750i −0.331015 0.112099i
\(313\) −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
\(315\) −309.481 + 58.7085i −0.982478 + 0.186376i
\(316\) 79.8799 0.252785
\(317\) −476.486 127.674i −1.50311 0.402757i −0.588970 0.808155i \(-0.700466\pi\)
−0.914140 + 0.405398i \(0.867133\pi\)
\(318\) 1.01020 2.98299i 0.00317673 0.00938047i
\(319\) 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
\(324\) −41.4789 + 156.600i −0.128021 + 0.483333i
\(325\) 263.691 183.502i 0.811357 0.564621i
\(326\) 100.094 + 57.7892i 0.307036 + 0.177267i
\(327\) 66.4519 58.3613i 0.203217 0.178475i
\(328\) −110.653 110.653i −0.337357 0.337357i
\(329\) 63.5182 536.029i 0.193065 1.62927i
\(330\) −81.8663 + 185.687i −0.248080 + 0.562688i
\(331\) 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
\(333\) −104.907 + 80.7373i −0.315035 + 0.242454i
\(334\) 27.5502 + 47.7184i 0.0824858 + 0.142870i
\(335\) −68.8263 + 97.9916i −0.205452 + 0.292512i
\(336\) −79.1656 + 28.0857i −0.235612 + 0.0835885i
\(337\) −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
\(339\) −70.0265 + 34.5958i −0.206568 + 0.102052i
\(340\) −229.851 + 106.776i −0.676032 + 0.314047i
\(341\) 39.9113 + 69.1284i 0.117042 + 0.202723i
\(342\) −101.861 + 246.917i −0.297839 + 0.721978i
\(343\) 311.553 143.471i 0.908316 0.418284i
\(344\) 229.179 0.666217
\(345\) −512.126 + 55.7082i −1.48442 + 0.161473i
\(346\) 202.020 + 116.636i 0.583874 + 0.337100i
\(347\) 109.624 + 409.122i 0.315919 + 1.17903i 0.923131 + 0.384486i \(0.125621\pi\)
−0.607212 + 0.794540i \(0.707712\pi\)
\(348\) −27.4152 + 24.0774i −0.0787794 + 0.0691878i
\(349\) −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 0.994177 0.107756i \(-0.0343666\pi\)
−0.914861 + 0.403769i \(0.867700\pi\)
\(354\) 389.783 192.568i 1.10108 0.543978i
\(355\) 84.3905 + 100.869i 0.237720 + 0.284139i
\(356\) −56.0373 −0.157408
\(357\) −42.0659 530.562i −0.117832 1.48617i
\(358\) −83.6940 + 83.6940i −0.233782 + 0.233782i
\(359\) 124.744 + 216.062i 0.347475 + 0.601845i 0.985800 0.167922i \(-0.0537057\pi\)
−0.638325 + 0.769767i \(0.720372\pi\)
\(360\) −93.8390 85.9898i −0.260664 0.238860i
\(361\) −39.6959 + 68.7553i −0.109961 + 0.190458i
\(362\) 20.1260 75.1114i 0.0555968 0.207490i
\(363\) 86.7426 17.3189i 0.238960 0.0477106i
\(364\) 70.9931 + 165.304i 0.195036 + 0.454132i
\(365\) −22.4861 + 32.0146i −0.0616056 + 0.0877112i
\(366\) 29.3907 453.405i 0.0803025 1.23881i
\(367\) 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
\(369\) 395.477 + 302.558i 1.07175 + 0.819941i
\(370\) −17.9120 102.452i −0.0484108 0.276897i
\(371\) −4.77455 + 2.05053i −0.0128694 + 0.00552703i
\(372\) −49.0956 + 9.80238i −0.131977 + 0.0263505i
\(373\) 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
\(375\) 368.058 71.8237i 0.981487 0.191530i
\(376\) 188.883 109.052i 0.502350 0.290032i
\(377\) 55.2569 + 55.2569i 0.146570 + 0.146570i
\(378\) 237.909 121.826i 0.629388 0.322290i
\(379\) 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
\(381\) −96.4602 + 47.6551i −0.253177 + 0.125079i
\(382\) 289.719 77.6299i 0.758426 0.203220i
\(383\) 652.929 + 174.952i 1.70478 + 0.456793i 0.974135 0.225969i \(-0.0725548\pi\)
0.730641 + 0.682762i \(0.239221\pi\)
\(384\) −28.2346 18.8364i −0.0735275 0.0490531i
\(385\) 318.147 104.349i 0.826355 0.271038i
\(386\) 108.685i 0.281567i
\(387\) −722.866 + 96.2238i −1.86787 + 0.248640i
\(388\) 53.0917 14.2259i 0.136834 0.0366646i
\(389\) −28.8116 + 49.9032i −0.0740658 + 0.128286i −0.900680 0.434484i \(-0.856931\pi\)
0.826614 + 0.562770i \(0.190264\pi\)
\(390\) −170.779 + 212.468i −0.437896 + 0.544790i
\(391\) 870.397i 2.22608i
\(392\) 121.780 + 66.1644i 0.310662 + 0.168787i
\(393\) 25.7640 5.14401i 0.0655572 0.0130891i
\(394\) −284.894 + 164.483i −0.723080 + 0.417471i
\(395\) 68.5732 187.557i 0.173603 0.474828i
\(396\) 22.2306 170.753i 0.0561379 0.431195i
\(397\) −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
\(399\) 415.333 147.348i 1.04093 0.369294i
\(400\) 94.0680 33.9295i 0.235170 0.0848238i
\(401\) 137.547 79.4128i 0.343010 0.198037i −0.318592 0.947892i \(-0.603210\pi\)
0.661602 + 0.749855i \(0.269877\pi\)
\(402\) 32.5920 96.2400i 0.0810746 0.239403i
\(403\) 27.7516 + 103.570i 0.0688625 + 0.256998i
\(404\) −33.1973 + 19.1665i −0.0821715 + 0.0474418i
\(405\) 332.087 + 231.826i 0.819968 + 0.572409i
\(406\) 59.7825 + 7.08409i 0.147248 + 0.0174485i
\(407\) 99.4957 99.4957i 0.244461 0.244461i
\(408\) 161.583 141.910i 0.396036 0.347818i
\(409\) 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
\(411\) 165.699 + 10.7410i 0.403160 + 0.0261337i
\(412\) 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
\(417\) 2.56581 7.57651i 0.00615302 0.0181691i
\(418\) 73.4814 274.236i 0.175793 0.656068i
\(419\) 107.181i 0.255801i −0.991787 0.127901i \(-0.959176\pi\)
0.991787 0.127901i \(-0.0408239\pi\)
\(420\) −2.01501 + 209.990i −0.00479763 + 0.499977i
\(421\) 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
\(423\) −549.981 + 423.272i −1.30019 + 1.00064i
\(424\) −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
\(429\) −368.018 23.8557i −0.857852 0.0556078i
\(430\) 196.739 538.110i 0.457533 1.25142i
\(431\) 16.2301 + 9.37047i 0.0376569 + 0.0217412i 0.518710 0.854950i \(-0.326412\pi\)
−0.481053 + 0.876691i \(0.659746\pi\)
\(432\) 96.9650 + 47.5583i 0.224456 + 0.110089i
\(433\) −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
\(435\) 32.9987 + 85.0399i 0.0758591 + 0.195494i
\(436\) −29.4805 51.0617i −0.0676158 0.117114i
\(437\) 696.150 186.533i 1.59302 0.426849i
\(438\) 10.6480 31.4423i 0.0243106 0.0717861i
\(439\) 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
\(441\) −411.892 157.562i −0.933996 0.357284i
\(442\) −325.679 325.679i −0.736831 0.736831i
\(443\) −80.4734 + 300.331i −0.181656 + 0.677948i 0.813666 + 0.581332i \(0.197468\pi\)
−0.995322 + 0.0966154i \(0.969198\pi\)
\(444\) 39.0897 + 79.1227i 0.0880398 + 0.178204i
\(445\) −48.1054 + 131.575i −0.108102 + 0.295674i
\(446\) 72.0790 + 124.845i 0.161612 + 0.279921i
\(447\) −203.934 + 40.7172i −0.456227 + 0.0910899i
\(448\) 8.02794 + 55.4216i 0.0179195 + 0.123709i
\(449\) −497.661 −1.10838 −0.554188 0.832392i \(-0.686971\pi\)
−0.554188 + 0.832392i \(0.686971\pi\)
\(450\) −282.460 + 146.515i −0.627688 + 0.325589i
\(451\) −458.364 264.637i −1.01633 0.586778i
\(452\) 13.4769 + 50.2965i 0.0298162 + 0.111275i
\(453\) −283.403 322.691i −0.625613 0.712342i
\(454\) 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
\(459\) −450.075 + 515.449i −0.980556 + 1.12298i
\(460\) −30.4277 + 342.081i −0.0661472 + 0.743653i
\(461\) 319.049 0.692081 0.346040 0.938220i \(-0.387526\pi\)
0.346040 + 0.938220i \(0.387526\pi\)
\(462\) −234.046 + 161.055i −0.506593 + 0.348605i
\(463\) 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
\(465\) −19.1304 + 123.691i −0.0411406 + 0.266002i
\(466\) −143.254 + 248.124i −0.307413 + 0.532454i
\(467\) −152.747 + 570.058i −0.327080 + 1.22068i 0.585123 + 0.810944i \(0.301046\pi\)
−0.912204 + 0.409737i \(0.865621\pi\)
\(468\) 88.2095 213.825i 0.188482 0.456891i
\(469\) −154.041 + 66.1561i −0.328446 + 0.141058i
\(470\) −93.9051 537.112i −0.199798 1.14279i
\(471\) −322.100 20.8792i −0.683864 0.0443295i
\(472\) −75.0156 279.962i −0.158931 0.593140i
\(473\) 748.720 200.619i 1.58292 0.424142i
\(474\) −10.9612 + 169.096i −0.0231248 + 0.356743i
\(475\) −493.516 + 178.007i −1.03898 + 0.374752i
\(476\) −352.353 41.7530i −0.740237 0.0877164i
\(477\) 6.17600 + 2.54780i 0.0129476 + 0.00534129i
\(478\) 327.351 + 87.7135i 0.684835 + 0.183501i
\(479\) 188.062 + 108.578i 0.392614 + 0.226676i 0.683292 0.730145i \(-0.260548\pi\)
−0.290678 + 0.956821i \(0.593881\pi\)
\(480\) −68.4657 + 50.1243i −0.142637 + 0.104426i
\(481\) 163.688 94.5051i 0.340307 0.196476i
\(482\) −173.965 173.965i −0.360923 0.360923i
\(483\) −651.129 310.109i −1.34809 0.642048i
\(484\) 58.9697i 0.121838i
\(485\) 12.1745 136.871i 0.0251021 0.282208i
\(486\) −325.811 109.295i −0.670393 0.224886i
\(487\) 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 \(-0.718116\pi\)
0.632852 0.774273i \(-0.281884\pi\)
\(492\) 249.423 219.055i 0.506957 0.445234i
\(493\) −148.871 + 39.8899i −0.301970 + 0.0809125i
\(494\) 190.685 330.277i 0.386002 0.668576i
\(495\) −381.843 198.781i −0.771400 0.401578i
\(496\) 33.3764i 0.0672911i
\(497\) 26.3950 + 182.220i 0.0531086 + 0.366640i
\(498\) −62.2419 311.741i −0.124984 0.625985i
\(499\) −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
\(501\) −104.795 + 51.7726i −0.209171 + 0.103338i
\(502\) −21.8224 5.84729i −0.0434709 0.0116480i
\(503\) 151.056 151.056i 0.300310 0.300310i −0.540825 0.841135i \(-0.681888\pi\)
0.841135 + 0.540825i \(0.181888\pi\)
\(504\) −48.5909 171.438i −0.0964105 0.340154i
\(505\) 16.5043 + 94.4004i 0.0326819 + 0.186932i
\(506\) −402.376 + 232.312i −0.795209 + 0.459114i
\(507\) 10.9977 + 3.72440i 0.0216917 + 0.00734596i
\(508\) 18.5642 + 69.2826i 0.0365437 + 0.136383i
\(509\) −158.311 + 91.4010i −0.311024 + 0.179570i −0.647385 0.762163i \(-0.724137\pi\)
0.336361 + 0.941733i \(0.390804\pi\)
\(510\) −194.491 501.218i −0.381356 0.982780i
\(511\) −50.3263 + 21.6137i −0.0984860 + 0.0422968i
\(512\) −16.0000 + 16.0000i −0.0312500 + 0.0312500i
\(513\) −508.715 249.509i −0.991647 0.486372i
\(514\) −83.9885 + 145.472i −0.163402 + 0.283020i
\(515\) −255.864 550.785i −0.496824 1.06949i
\(516\) −31.4480 + 485.143i −0.0609458 + 0.940200i
\(517\) 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 −0.646541 0.762879i \(-0.723785\pi\)
0.983943 + 0.178481i \(0.0571184\pi\)
\(522\) −47.2069 61.3386i −0.0904347 0.117507i
\(523\) −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
\(525\) 491.325 + 184.998i 0.935858 + 0.352377i
\(526\) 1.16977 0.00222389
\(527\) −204.268 54.7335i −0.387606 0.103859i
\(528\) −108.731 36.8220i −0.205929 0.0697386i
\(529\) −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
\(534\) 7.68947 118.624i 0.0143997 0.222142i
\(535\) 177.636 82.5198i 0.332030 0.154243i
\(536\) −58.6640 33.8696i −0.109448 0.0631896i
\(537\) −165.685 188.654i −0.308539 0.351312i
\(538\) −139.730 139.730i −0.259720 0.259720i
\(539\) 455.769 + 109.554i 0.845583 + 0.203253i
\(540\) 194.906 186.846i 0.360938 0.346011i
\(541\) −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
\(543\) 156.240 + 52.9112i 0.287735 + 0.0974423i
\(544\) −71.6840 124.160i −0.131772 0.228236i
\(545\) −145.200 + 25.3858i −0.266422 + 0.0465795i
\(546\) −359.670 + 127.601i −0.658736 + 0.233701i
\(547\) −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
\(549\) 955.771 + 124.433i 1.74093 + 0.226654i
\(550\) 277.616 193.192i 0.504756 0.351259i
\(551\) −63.8085 110.520i −0.115805 0.200580i
\(552\) −57.0567 285.771i −0.103364 0.517701i
\(553\) 219.583 173.056i 0.397075 0.312940i
\(554\) −560.450 −1.01164
\(555\) 219.336 23.8590i 0.395200 0.0429892i
\(556\) −4.61833 2.66639i −0.00830635 0.00479567i
\(557\) −252.682 943.021i −0.453648 1.69304i −0.692033 0.721866i \(-0.743285\pi\)
0.238385 0.971171i \(-0.423382\pi\)
\(558\) −14.0135 105.274i −0.0251138 0.188664i
\(559\) 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 \(0.0232959\pi\)
−0.827147 + 0.561986i \(0.810037\pi\)
\(564\) 204.931 + 414.807i 0.363353 + 0.735474i
\(565\) 129.665 + 11.5336i 0.229496 + 0.0204134i
\(566\) −16.4833 −0.0291224
\(567\) 225.244 + 520.340i 0.397255 + 0.917708i
\(568\) −52.6062 + 52.6062i −0.0926166 + 0.0926166i
\(569\) −193.008 334.300i −0.339206 0.587522i 0.645078 0.764117i \(-0.276825\pi\)
−0.984284 + 0.176595i \(0.943492\pi\)
\(570\) 359.197 262.971i 0.630171 0.461352i
\(571\) −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
\(573\) 124.578 + 623.951i 0.217413 + 1.08892i
\(574\) −543.900 64.4509i −0.947560 0.112284i
\(575\) 777.081 + 365.104i 1.35145 + 0.634964i
\(576\) 43.7487 57.1843i 0.0759526 0.0992784i
\(577\) 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
\(579\) −230.073 14.9138i −0.397362 0.0257579i
\(580\) 59.9033 10.4731i 0.103282 0.0180571i
\(581\) −313.878 + 420.212i −0.540237 + 0.723257i
\(582\) 22.8292 + 114.341i 0.0392254 + 0.196462i
\(583\) −6.85934 1.83795i −0.0117656 0.00315258i
\(584\) −19.1659 11.0655i −0.0328184 0.0189477i
\(585\) −426.335 390.674i −0.728778 0.667818i
\(586\) 314.338 181.483i 0.536412 0.309698i
\(587\) 333.048 + 333.048i 0.567373 + 0.567373i 0.931392 0.364019i \(-0.118596\pi\)
−0.364019 + 0.931392i \(0.618596\pi\)
\(588\) −156.773 + 248.713i −0.266620 + 0.422982i
\(589\) 175.105i 0.297292i
\(590\) −721.745 64.1985i −1.22330 0.108811i
\(591\) −309.098 625.655i −0.523008 1.05864i
\(592\) 56.8299 15.2275i 0.0959964 0.0257222i
\(593\) −665.312 178.270i −1.12194 0.300624i −0.350273 0.936648i \(-0.613911\pi\)
−0.771669 + 0.636024i \(0.780578\pi\)
\(594\) 358.413 + 70.4903i 0.603390 + 0.118671i
\(595\) −400.514 + 791.478i −0.673133 + 1.33021i
\(596\) 138.639i 0.232616i
\(597\) −486.490 553.933i −0.814892 0.927860i
\(598\) −602.852 + 161.534i −1.00811 + 0.270123i
\(599\) 58.2807 100.945i 0.0972967 0.168523i −0.813268 0.581889i \(-0.802314\pi\)
0.910565 + 0.413366i \(0.135647\pi\)
\(600\) 58.9166 + 203.786i 0.0981944 + 0.339644i
\(601\) 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
\(603\) 199.256 + 82.1994i 0.330441 + 0.136317i
\(604\) −247.956 + 143.158i −0.410523 + 0.237016i
\(605\) −138.460 50.6228i −0.228860 0.0836740i
\(606\) −36.0177 72.9046i −0.0594352 0.120305i
\(607\) 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
\(609\) −23.1995 + 125.580i −0.0380945 + 0.206207i
\(610\) −435.246 + 619.682i −0.713518 + 1.01587i
\(611\) 858.146 495.451i 1.40449 0.810885i
\(612\) 278.233 + 361.524i 0.454629 + 0.590726i
\(613\) 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
\(615\) −300.221 773.692i −0.488165 1.25803i
\(616\) 74.7421 + 174.033i 0.121335 + 0.282521i
\(617\) 262.126 262.126i 0.424839 0.424839i −0.462027 0.886866i \(-0.652878\pi\)
0.886866 + 0.462027i \(0.152878\pi\)
\(618\) 340.055 + 387.197i 0.550250 + 0.626532i
\(619\) −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
\(621\) 299.951 + 877.410i 0.483012 + 1.41290i
\(622\) −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
\(627\) 570.441 + 193.182i 0.909795 + 0.308105i
\(628\) −55.6937 + 207.852i −0.0886843 + 0.330974i
\(629\) 372.778i 0.592652i
\(630\) −444.247 33.0805i −0.705154 0.0525087i
\(631\) −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
\(633\) 307.826 908.972i 0.486298 1.43597i
\(634\) −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
\(639\) 143.841 188.016i 0.225103 0.294234i
\(640\) 23.8326 + 51.3031i 0.0372384 + 0.0801611i
\(641\) 650.960 + 375.832i 1.01554 + 0.586322i 0.912809 0.408388i \(-0.133909\pi\)
0.102730 + 0.994709i \(0.467242\pi\)
\(642\) −124.876 + 109.672i −0.194511 + 0.170829i
\(643\) −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
\(645\) 1112.12 + 490.313i 1.72421 + 0.760175i
\(646\) 376.082 + 651.392i 0.582170 + 1.00835i
\(647\) 164.893 44.1828i 0.254857 0.0682888i −0.129128 0.991628i \(-0.541218\pi\)
0.383986 + 0.923339i \(0.374551\pi\)
\(648\) −113.981 + 198.737i −0.175896 + 0.306693i
\(649\) −490.147 848.960i −0.755235 1.30810i
\(650\) 427.375 154.151i 0.657500 0.237155i
\(651\) −113.723 + 133.309i −0.174689 + 0.204776i
\(652\) 115.578 + 115.578i 0.177267 + 0.177267i
\(653\) −34.6194 + 129.201i −0.0530159 + 0.197858i −0.987354 0.158529i \(-0.949325\pi\)
0.934338 + 0.356387i \(0.115992\pi\)
\(654\) 112.137 55.3999i 0.171463 0.0847093i
\(655\) −41.1250 15.0358i −0.0627863 0.0229554i
\(656\) −110.653 191.657i −0.168679 0.292160i
\(657\) 65.0984 + 26.8551i 0.0990843 + 0.0408754i
\(658\) 282.968 708.980i 0.430042 1.07748i
\(659\) −88.9446 −0.134969 −0.0674845 0.997720i \(-0.521497\pi\)
−0.0674845 + 0.997720i \(0.521497\pi\)
\(660\) −179.798 + 223.688i −0.272421 + 0.338922i
\(661\) −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
\(663\) 734.113 644.733i 1.10726 0.972448i
\(664\) −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
\(669\) −274.171 + 135.451i −0.409823 + 0.202468i
\(670\) −129.886 + 108.667i −0.193860 + 0.162189i
\(671\) −1024.49 −1.52681
\(672\) −118.422 + 9.38919i −0.176224 + 0.0139720i
\(673\) 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
\(675\) −271.395 618.037i −0.402066 0.915611i
\(676\) 3.87040 6.70373i 0.00572545 0.00991677i
\(677\) −318.399 + 1188.28i −0.470309 + 1.75522i 0.168350 + 0.985727i \(0.446156\pi\)
−0.638659 + 0.769490i \(0.720510\pi\)
\(678\) −108.321 + 21.6273i −0.159765 + 0.0318986i
\(679\) 115.124 154.126i 0.169550 0.226990i
\(680\) −353.065 + 61.7275i −0.519213 + 0.0907757i
\(681\) −59.6350 + 919.978i −0.0875697 + 1.35092i
\(682\) 29.2171 + 109.040i 0.0428403 + 0.159882i
\(683\) 699.493 187.428i 1.02415 0.274419i 0.292618 0.956229i \(-0.405474\pi\)
0.731529 + 0.681810i \(0.238807\pi\)
\(684\) −229.522 + 300.011i −0.335559 + 0.438612i
\(685\) −226.466 159.062i −0.330607 0.232208i
\(686\) 478.103 81.9493i 0.696943 0.119460i
\(687\) −1075.20 + 214.673i −1.56506 + 0.312479i
\(688\) 313.064 + 83.8853i 0.455035 + 0.121926i
\(689\) −8.26104 4.76952i −0.0119899 0.00692237i
\(690\) −719.967 111.352i −1.04343 0.161380i
\(691\) −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
\(693\) −308.819 517.547i −0.445626 0.746821i
\(694\) 598.996i 0.863107i
\(695\) −10.2253 + 8.55481i −0.0147126 + 0.0123091i
\(696\) −46.2628 + 22.8556i −0.0664695 + 0.0328385i
\(697\) 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 \(0.0806679\pi\)
−0.968059 + 0.250722i \(0.919332\pi\)
\(702\) 440.537 + 216.070i 0.627545 + 0.307792i
\(703\) −298.151 + 79.8893i −0.424112 + 0.113641i
\(704\) −38.2654 + 66.2776i −0.0543543 + 0.0941444i
\(705\) 1149.89 125.083i 1.63105 0.177422i
\(706\) 152.988i 0.216696i
\(707\) −49.7331 + 124.607i −0.0703439 + 0.176248i
\(708\) 602.939 120.382i 0.851608 0.170031i
\(709\) 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
\(711\) −356.451 46.4069i −0.501338 0.0652699i
\(712\) −76.5484 20.5111i −0.107512 0.0288077i
\(713\) −202.630 + 202.630i −0.284194 + 0.284194i
\(714\) 136.736 740.158i 0.191507 1.03664i
\(715\) 502.982 + 353.279i 0.703471 + 0.494096i
\(716\) −144.962 + 83.6940i −0.202461 + 0.116891i
\(717\) −230.598 + 680.926i −0.321615 + 0.949688i
\(718\) 91.3187 + 340.806i 0.127185 + 0.474660i
\(719\) −460.328 + 265.771i −0.640234 + 0.369639i −0.784705 0.619870i \(-0.787185\pi\)
0.144471 + 0.989509i \(0.453852\pi\)
\(720\) −96.7120 151.812i −0.134322 0.210850i
\(721\) 100.052 844.333i 0.138768 1.17106i
\(722\) −79.3918 + 79.3918i −0.109961 + 0.109961i
\(723\) 392.134 344.391i 0.542370 0.476336i
\(724\) 54.9853 95.2374i 0.0759466 0.131543i
\(725\) 26.8335 149.643i 0.0370117 0.206404i
\(726\) 124.832 + 8.09186i 0.171945 + 0.0111458i
\(727\) −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
\(732\) 206.106 608.605i 0.281566 0.831428i
\(733\) −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
\(735\) 449.394 + 581.610i 0.611421 + 0.791306i
\(736\) −194.274 −0.263959
\(737\) −221.302 59.2978i −0.300274 0.0804583i
\(738\) 429.487 + 558.057i 0.581961 + 0.756175i
\(739\) −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 0.348217 0.937414i \(-0.386787\pi\)
−0.937414 + 0.348217i \(0.886787\pi\)
\(744\) −70.6537 4.57992i −0.0949647 0.00615581i
\(745\) 325.523 + 119.015i 0.436944 + 0.159752i
\(746\) 746.949 + 431.251i 1.00127 + 0.578085i
\(747\) 668.458 88.9812i 0.894856 0.119118i
\(748\) −342.877 342.877i −0.458392 0.458392i
\(749\) 272.309 + 32.2680i 0.363564 + 0.0430815i
\(750\) 529.065 + 36.6054i 0.705420 + 0.0488072i
\(751\) 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
\(753\) 15.3725 45.3930i 0.0204150 0.0602828i
\(754\) 55.2569 + 95.7077i 0.0732850 + 0.126933i
\(755\) 123.274 + 705.093i 0.163276 + 0.933898i
\(756\) 369.581 79.3362i 0.488863 0.104942i
\(757\) −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
\(759\) −436.561 883.658i −0.575180 1.16424i
\(760\) −125.035 269.155i