Properties

Label 120.2.w.c.53.7
Level $120$
Weight $2$
Character 120.53
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 120 = 2^{3} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 120.w (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.958204824255\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 53.7
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.250043 - 1.39193i) q^{2} +(-1.40091 + 1.01856i) q^{3} +(-1.87496 + 0.696087i) q^{4} +(-2.23305 - 0.116202i) q^{5} +(1.76805 + 1.69529i) q^{6} +(-2.29041 + 2.29041i) q^{7} +(1.43773 + 2.43576i) q^{8} +(0.925085 - 2.85381i) q^{9} +O(q^{10})\) \(q+(-0.250043 - 1.39193i) q^{2} +(-1.40091 + 1.01856i) q^{3} +(-1.87496 + 0.696087i) q^{4} +(-2.23305 - 0.116202i) q^{5} +(1.76805 + 1.69529i) q^{6} +(-2.29041 + 2.29041i) q^{7} +(1.43773 + 2.43576i) q^{8} +(0.925085 - 2.85381i) q^{9} +(0.396613 + 3.13731i) q^{10} -2.28378 q^{11} +(1.91764 - 2.88490i) q^{12} +(-1.05635 + 1.05635i) q^{13} +(3.76080 + 2.61540i) q^{14} +(3.24665 - 2.11170i) q^{15} +(3.03093 - 2.61026i) q^{16} +(-3.04391 - 3.04391i) q^{17} +(-4.20362 - 0.574081i) q^{18} +3.36831 q^{19} +(4.26775 - 1.33652i) q^{20} +(0.875741 - 5.54157i) q^{21} +(0.571043 + 3.17887i) q^{22} +(-3.68785 + 3.68785i) q^{23} +(-4.49508 - 1.94787i) q^{24} +(4.97299 + 0.518967i) q^{25} +(1.73449 + 1.20623i) q^{26} +(1.61081 + 4.94017i) q^{27} +(2.70010 - 5.88875i) q^{28} -2.71461i q^{29} +(-3.75114 - 3.99111i) q^{30} -6.49196 q^{31} +(-4.39118 - 3.56617i) q^{32} +(3.19937 - 2.32616i) q^{33} +(-3.47581 + 4.99803i) q^{34} +(5.38074 - 4.84844i) q^{35} +(0.252003 + 5.99471i) q^{36} +(-2.31197 - 2.31197i) q^{37} +(-0.842223 - 4.68847i) q^{38} +(0.403895 - 2.55579i) q^{39} +(-2.92747 - 5.60624i) q^{40} +10.8056i q^{41} +(-7.93246 + 0.166657i) q^{42} +(1.16384 - 1.16384i) q^{43} +(4.28199 - 1.58971i) q^{44} +(-2.39737 + 6.26519i) q^{45} +(6.05536 + 4.21112i) q^{46} +(1.83768 + 1.83768i) q^{47} +(-1.58735 + 6.74391i) q^{48} -3.49196i q^{49} +(-0.521095 - 7.05184i) q^{50} +(7.36463 + 1.16384i) q^{51} +(1.24529 - 2.71591i) q^{52} +(5.82856 + 5.82856i) q^{53} +(6.47362 - 3.47739i) q^{54} +(5.09979 + 0.265379i) q^{55} +(-8.87188 - 2.28592i) q^{56} +(-4.71870 + 3.43082i) q^{57} +(-3.77856 + 0.678770i) q^{58} +7.41311i q^{59} +(-4.61741 + 6.21929i) q^{60} +8.97044i q^{61} +(1.62327 + 9.03638i) q^{62} +(4.41757 + 8.65522i) q^{63} +(-3.86589 + 7.00392i) q^{64} +(2.48162 - 2.23612i) q^{65} +(-4.03784 - 3.87166i) q^{66} +(-8.66367 - 8.66367i) q^{67} +(7.82602 + 3.58837i) q^{68} +(1.41005 - 8.92262i) q^{69} +(-8.09413 - 6.27732i) q^{70} -7.37570i q^{71} +(8.28122 - 1.84971i) q^{72} +(1.83441 + 1.83441i) q^{73} +(-2.64001 + 3.79620i) q^{74} +(-7.49530 + 4.33825i) q^{75} +(-6.31544 + 2.34464i) q^{76} +(5.23080 - 5.23080i) q^{77} +(-3.65848 + 0.0768630i) q^{78} -8.28844i q^{79} +(-7.07152 + 5.47664i) q^{80} +(-7.28844 - 5.28003i) q^{81} +(15.0406 - 2.70185i) q^{82} +(-5.27928 - 5.27928i) q^{83} +(2.21543 + 10.9998i) q^{84} +(6.44348 + 7.15090i) q^{85} +(-1.91100 - 1.32898i) q^{86} +(2.76499 + 3.80292i) q^{87} +(-3.28345 - 5.56275i) q^{88} -11.5311 q^{89} +(9.32017 + 1.77042i) q^{90} -4.83893i q^{91} +(4.34749 - 9.48162i) q^{92} +(9.09464 - 6.61243i) q^{93} +(2.09843 - 3.01742i) q^{94} +(-7.52160 - 0.391403i) q^{95} +(9.78398 + 0.523212i) q^{96} +(-2.79647 + 2.79647i) q^{97} +(-4.86058 + 0.873141i) q^{98} +(-2.11269 + 6.51747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 4 q^{6} + 4 q^{10} - 8 q^{12} - 28 q^{15} + 28 q^{16} - 20 q^{18} - 52 q^{22} - 8 q^{25} + 12 q^{28} - 32 q^{30} - 32 q^{31} + 8 q^{33} - 20 q^{36} + 24 q^{40} + 16 q^{42} + 24 q^{46} + 44 q^{48} + 8 q^{52} + 8 q^{55} - 16 q^{57} + 28 q^{58} + 56 q^{60} + 48 q^{63} + 16 q^{66} + 20 q^{70} + 32 q^{72} - 64 q^{73} - 88 q^{76} + 64 q^{78} + 48 q^{81} + 64 q^{82} - 8 q^{87} - 52 q^{88} + 84 q^{90} - 52 q^{96} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(41\) \(61\) \(97\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.250043 1.39193i −0.176807 0.984246i
\(3\) −1.40091 + 1.01856i −0.808814 + 0.588064i
\(4\) −1.87496 + 0.696087i −0.937478 + 0.348043i
\(5\) −2.23305 0.116202i −0.998649 0.0519669i
\(6\) 1.76805 + 1.69529i 0.721803 + 0.692098i
\(7\) −2.29041 + 2.29041i −0.865694 + 0.865694i −0.991992 0.126298i \(-0.959690\pi\)
0.126298 + 0.991992i \(0.459690\pi\)
\(8\) 1.43773 + 2.43576i 0.508313 + 0.861172i
\(9\) 0.925085 2.85381i 0.308362 0.951269i
\(10\) 0.396613 + 3.13731i 0.125420 + 0.992104i
\(11\) −2.28378 −0.688586 −0.344293 0.938862i \(-0.611881\pi\)
−0.344293 + 0.938862i \(0.611881\pi\)
\(12\) 1.91764 2.88490i 0.553574 0.832800i
\(13\) −1.05635 + 1.05635i −0.292977 + 0.292977i −0.838255 0.545278i \(-0.816424\pi\)
0.545278 + 0.838255i \(0.316424\pi\)
\(14\) 3.76080 + 2.61540i 1.00512 + 0.698994i
\(15\) 3.24665 2.11170i 0.838281 0.545238i
\(16\) 3.03093 2.61026i 0.757732 0.652566i
\(17\) −3.04391 3.04391i −0.738256 0.738256i 0.233984 0.972240i \(-0.424824\pi\)
−0.972240 + 0.233984i \(0.924824\pi\)
\(18\) −4.20362 0.574081i −0.990803 0.135312i
\(19\) 3.36831 0.772744 0.386372 0.922343i \(-0.373728\pi\)
0.386372 + 0.922343i \(0.373728\pi\)
\(20\) 4.26775 1.33652i 0.954298 0.298855i
\(21\) 0.875741 5.54157i 0.191102 1.20927i
\(22\) 0.571043 + 3.17887i 0.121747 + 0.677737i
\(23\) −3.68785 + 3.68785i −0.768969 + 0.768969i −0.977925 0.208956i \(-0.932994\pi\)
0.208956 + 0.977925i \(0.432994\pi\)
\(24\) −4.49508 1.94787i −0.917555 0.397608i
\(25\) 4.97299 + 0.518967i 0.994599 + 0.103793i
\(26\) 1.73449 + 1.20623i 0.340162 + 0.236561i
\(27\) 1.61081 + 4.94017i 0.310000 + 0.950737i
\(28\) 2.70010 5.88875i 0.510270 1.11287i
\(29\) 2.71461i 0.504091i −0.967715 0.252045i \(-0.918897\pi\)
0.967715 0.252045i \(-0.0811032\pi\)
\(30\) −3.75114 3.99111i −0.684862 0.728673i
\(31\) −6.49196 −1.16599 −0.582995 0.812475i \(-0.698119\pi\)
−0.582995 + 0.812475i \(0.698119\pi\)
\(32\) −4.39118 3.56617i −0.776258 0.630416i
\(33\) 3.19937 2.32616i 0.556938 0.404932i
\(34\) −3.47581 + 4.99803i −0.596096 + 0.857154i
\(35\) 5.38074 4.84844i 0.909512 0.819537i
\(36\) 0.252003 + 5.99471i 0.0420005 + 0.999118i
\(37\) −2.31197 2.31197i −0.380085 0.380085i 0.491048 0.871133i \(-0.336614\pi\)
−0.871133 + 0.491048i \(0.836614\pi\)
\(38\) −0.842223 4.68847i −0.136627 0.760570i
\(39\) 0.403895 2.55579i 0.0646749 0.409254i
\(40\) −2.92747 5.60624i −0.462874 0.886424i
\(41\) 10.8056i 1.68754i 0.536702 + 0.843772i \(0.319670\pi\)
−0.536702 + 0.843772i \(0.680330\pi\)
\(42\) −7.93246 + 0.166657i −1.22401 + 0.0257158i
\(43\) 1.16384 1.16384i 0.177484 0.177484i −0.612774 0.790258i \(-0.709946\pi\)
0.790258 + 0.612774i \(0.209946\pi\)
\(44\) 4.28199 1.58971i 0.645534 0.239658i
\(45\) −2.39737 + 6.26519i −0.357379 + 0.933959i
\(46\) 6.05536 + 4.21112i 0.892814 + 0.620895i
\(47\) 1.83768 + 1.83768i 0.268053 + 0.268053i 0.828315 0.560262i \(-0.189300\pi\)
−0.560262 + 0.828315i \(0.689300\pi\)
\(48\) −1.58735 + 6.74391i −0.229114 + 0.973400i
\(49\) 3.49196i 0.498852i
\(50\) −0.521095 7.05184i −0.0736939 0.997281i
\(51\) 7.36463 + 1.16384i 1.03125 + 0.162970i
\(52\) 1.24529 2.71591i 0.172691 0.376629i
\(53\) 5.82856 + 5.82856i 0.800615 + 0.800615i 0.983192 0.182577i \(-0.0584439\pi\)
−0.182577 + 0.983192i \(0.558444\pi\)
\(54\) 6.47362 3.47739i 0.880948 0.473213i
\(55\) 5.09979 + 0.265379i 0.687655 + 0.0357837i
\(56\) −8.87188 2.28592i −1.18556 0.305468i
\(57\) −4.71870 + 3.43082i −0.625007 + 0.454423i
\(58\) −3.77856 + 0.678770i −0.496149 + 0.0891268i
\(59\) 7.41311i 0.965104i 0.875867 + 0.482552i \(0.160290\pi\)
−0.875867 + 0.482552i \(0.839710\pi\)
\(60\) −4.61741 + 6.21929i −0.596104 + 0.802907i
\(61\) 8.97044i 1.14855i 0.818663 + 0.574274i \(0.194716\pi\)
−0.818663 + 0.574274i \(0.805284\pi\)
\(62\) 1.62327 + 9.03638i 0.206155 + 1.14762i
\(63\) 4.41757 + 8.65522i 0.556561 + 1.09045i
\(64\) −3.86589 + 7.00392i −0.483236 + 0.875490i
\(65\) 2.48162 2.23612i 0.307807 0.277356i
\(66\) −4.03784 3.87166i −0.497024 0.476569i
\(67\) −8.66367 8.66367i −1.05844 1.05844i −0.998183 0.0602525i \(-0.980809\pi\)
−0.0602525 0.998183i \(-0.519191\pi\)
\(68\) 7.82602 + 3.58837i 0.949044 + 0.435154i
\(69\) 1.41005 8.92262i 0.169750 1.07416i
\(70\) −8.09413 6.27732i −0.967433 0.750283i
\(71\) 7.37570i 0.875334i −0.899137 0.437667i \(-0.855805\pi\)
0.899137 0.437667i \(-0.144195\pi\)
\(72\) 8.28122 1.84971i 0.975951 0.217990i
\(73\) 1.83441 + 1.83441i 0.214701 + 0.214701i 0.806261 0.591560i \(-0.201488\pi\)
−0.591560 + 0.806261i \(0.701488\pi\)
\(74\) −2.64001 + 3.79620i −0.306895 + 0.441299i
\(75\) −7.49530 + 4.33825i −0.865483 + 0.500938i
\(76\) −6.31544 + 2.34464i −0.724431 + 0.268948i
\(77\) 5.23080 5.23080i 0.596104 0.596104i
\(78\) −3.65848 + 0.0768630i −0.414241 + 0.00870302i
\(79\) 8.28844i 0.932522i −0.884647 0.466261i \(-0.845601\pi\)
0.884647 0.466261i \(-0.154399\pi\)
\(80\) −7.07152 + 5.47664i −0.790620 + 0.612307i
\(81\) −7.28844 5.28003i −0.809826 0.586670i
\(82\) 15.0406 2.70185i 1.66096 0.298370i
\(83\) −5.27928 5.27928i −0.579476 0.579476i 0.355283 0.934759i \(-0.384384\pi\)
−0.934759 + 0.355283i \(0.884384\pi\)
\(84\) 2.21543 + 10.9998i 0.241724 + 1.20018i
\(85\) 6.44348 + 7.15090i 0.698894 + 0.775624i
\(86\) −1.91100 1.32898i −0.206068 0.143308i
\(87\) 2.76499 + 3.80292i 0.296438 + 0.407716i
\(88\) −3.28345 5.56275i −0.350017 0.592991i
\(89\) −11.5311 −1.22230 −0.611149 0.791515i \(-0.709292\pi\)
−0.611149 + 0.791515i \(0.709292\pi\)
\(90\) 9.32017 + 1.77042i 0.982432 + 0.186618i
\(91\) 4.83893i 0.507258i
\(92\) 4.34749 9.48162i 0.453258 0.988527i
\(93\) 9.09464 6.61243i 0.943070 0.685677i
\(94\) 2.09843 3.01742i 0.216436 0.311224i
\(95\) −7.52160 0.391403i −0.771700 0.0401571i
\(96\) 9.78398 + 0.523212i 0.998573 + 0.0534001i
\(97\) −2.79647 + 2.79647i −0.283939 + 0.283939i −0.834678 0.550739i \(-0.814346\pi\)
0.550739 + 0.834678i \(0.314346\pi\)
\(98\) −4.86058 + 0.873141i −0.490993 + 0.0882005i
\(99\) −2.11269 + 6.51747i −0.212333 + 0.655030i
\(100\) −9.68540 + 2.48859i −0.968540 + 0.248859i
\(101\) −8.94251 −0.889813 −0.444907 0.895577i \(-0.646763\pi\)
−0.444907 + 0.895577i \(0.646763\pi\)
\(102\) −0.221484 10.5421i −0.0219302 1.04382i
\(103\) −2.54400 2.54400i −0.250668 0.250668i 0.570577 0.821244i \(-0.306720\pi\)
−0.821244 + 0.570577i \(0.806720\pi\)
\(104\) −4.09174 1.05427i −0.401228 0.103380i
\(105\) −2.59951 + 12.2728i −0.253686 + 1.19770i
\(106\) 6.65558 9.57036i 0.646447 0.929556i
\(107\) −5.14834 + 5.14834i −0.497709 + 0.497709i −0.910724 0.413015i \(-0.864476\pi\)
0.413015 + 0.910724i \(0.364476\pi\)
\(108\) −6.45898 8.14135i −0.621516 0.783402i
\(109\) 1.40528 0.134601 0.0673005 0.997733i \(-0.478561\pi\)
0.0673005 + 0.997733i \(0.478561\pi\)
\(110\) −0.905777 7.16492i −0.0863624 0.683148i
\(111\) 5.59372 + 0.883983i 0.530933 + 0.0839040i
\(112\) −0.963489 + 12.9206i −0.0910412 + 1.22089i
\(113\) 13.2872 13.2872i 1.24995 1.24995i 0.294212 0.955740i \(-0.404943\pi\)
0.955740 0.294212i \(-0.0950570\pi\)
\(114\) 5.95535 + 5.71026i 0.557769 + 0.534815i
\(115\) 8.66367 7.80660i 0.807891 0.727969i
\(116\) 1.88960 + 5.08978i 0.175445 + 0.472574i
\(117\) 2.03740 + 3.99181i 0.188357 + 0.369043i
\(118\) 10.3186 1.85360i 0.949900 0.170637i
\(119\) 13.9436 1.27821
\(120\) 9.81139 + 4.87203i 0.895653 + 0.444753i
\(121\) −5.78435 −0.525850
\(122\) 12.4863 2.24300i 1.13045 0.203071i
\(123\) −11.0061 15.1376i −0.992384 1.36491i
\(124\) 12.1721 4.51897i 1.09309 0.405815i
\(125\) −11.0446 1.73675i −0.987861 0.155339i
\(126\) 10.9429 8.31314i 0.974871 0.740593i
\(127\) 7.16362 7.16362i 0.635668 0.635668i −0.313816 0.949484i \(-0.601607\pi\)
0.949484 + 0.313816i \(0.101607\pi\)
\(128\) 10.7156 + 3.62978i 0.947137 + 0.320830i
\(129\) −0.444996 + 2.81587i −0.0391797 + 0.247924i
\(130\) −3.73304 2.89512i −0.327409 0.253919i
\(131\) −2.74859 −0.240145 −0.120073 0.992765i \(-0.538313\pi\)
−0.120073 + 0.992765i \(0.538313\pi\)
\(132\) −4.37946 + 6.58849i −0.381183 + 0.573454i
\(133\) −7.71482 + 7.71482i −0.668960 + 0.668960i
\(134\) −9.89296 + 14.2255i −0.854622 + 1.22890i
\(135\) −3.02295 11.2188i −0.260174 0.965562i
\(136\) 3.03793 11.7905i 0.260501 1.01103i
\(137\) 10.1741 + 10.1741i 0.869232 + 0.869232i 0.992387 0.123155i \(-0.0393012\pi\)
−0.123155 + 0.992387i \(0.539301\pi\)
\(138\) −12.7723 + 0.268339i −1.08725 + 0.0228426i
\(139\) −0.857068 −0.0726955 −0.0363478 0.999339i \(-0.511572\pi\)
−0.0363478 + 0.999339i \(0.511572\pi\)
\(140\) −6.71372 + 12.8361i −0.567413 + 1.08485i
\(141\) −4.44620 0.702638i −0.374437 0.0591728i
\(142\) −10.2665 + 1.84424i −0.861544 + 0.154765i
\(143\) 2.41246 2.41246i 0.201740 0.201740i
\(144\) −4.64533 11.0644i −0.387111 0.922033i
\(145\) −0.315442 + 6.06185i −0.0261961 + 0.503410i
\(146\) 2.09469 3.01206i 0.173358 0.249280i
\(147\) 3.55676 + 4.89192i 0.293357 + 0.403478i
\(148\) 5.94417 + 2.72551i 0.488608 + 0.224036i
\(149\) 7.83812i 0.642124i 0.947058 + 0.321062i \(0.104040\pi\)
−0.947058 + 0.321062i \(0.895960\pi\)
\(150\) 7.91271 + 9.34821i 0.646070 + 0.763278i
\(151\) 5.96120 0.485116 0.242558 0.970137i \(-0.422014\pi\)
0.242558 + 0.970137i \(0.422014\pi\)
\(152\) 4.84271 + 8.20441i 0.392796 + 0.665466i
\(153\) −11.5026 + 5.87086i −0.929930 + 0.474631i
\(154\) −8.58884 5.97299i −0.692109 0.481318i
\(155\) 14.4969 + 0.754376i 1.16442 + 0.0605930i
\(156\) 1.02177 + 5.07314i 0.0818067 + 0.406176i
\(157\) −1.60455 1.60455i −0.128057 0.128057i 0.640173 0.768231i \(-0.278863\pi\)
−0.768231 + 0.640173i \(0.778863\pi\)
\(158\) −11.5370 + 2.07247i −0.917831 + 0.164877i
\(159\) −14.1020 2.22856i −1.11836 0.176736i
\(160\) 9.39131 + 8.47369i 0.742448 + 0.669904i
\(161\) 16.8934i 1.33138i
\(162\) −5.52702 + 11.4653i −0.434244 + 0.900795i
\(163\) −9.91929 + 9.91929i −0.776939 + 0.776939i −0.979309 0.202370i \(-0.935136\pi\)
0.202370 + 0.979309i \(0.435136\pi\)
\(164\) −7.52160 20.2599i −0.587338 1.58204i
\(165\) −7.41464 + 4.82265i −0.577229 + 0.375443i
\(166\) −6.02835 + 8.66845i −0.467891 + 0.672802i
\(167\) −1.02989 1.02989i −0.0796952 0.0796952i 0.666136 0.745831i \(-0.267947\pi\)
−0.745831 + 0.666136i \(0.767947\pi\)
\(168\) 14.7570 5.83416i 1.13853 0.450115i
\(169\) 10.7683i 0.828328i
\(170\) 8.34242 10.7569i 0.639835 0.825019i
\(171\) 3.11598 9.61252i 0.238285 0.735088i
\(172\) −1.37202 + 2.99229i −0.104615 + 0.228160i
\(173\) 6.58294 + 6.58294i 0.500492 + 0.500492i 0.911591 0.411099i \(-0.134855\pi\)
−0.411099 + 0.911591i \(0.634855\pi\)
\(174\) 4.60205 4.79957i 0.348880 0.363854i
\(175\) −12.5788 + 10.2016i −0.950871 + 0.771165i
\(176\) −6.92197 + 5.96127i −0.521763 + 0.449348i
\(177\) −7.55067 10.3851i −0.567543 0.780590i
\(178\) 2.88328 + 16.0506i 0.216111 + 1.20304i
\(179\) 9.12480i 0.682019i −0.940060 0.341010i \(-0.889231\pi\)
0.940060 0.341010i \(-0.110769\pi\)
\(180\) 0.133860 13.4157i 0.00997730 0.999950i
\(181\) 2.94123i 0.218620i −0.994008 0.109310i \(-0.965136\pi\)
0.994008 0.109310i \(-0.0348641\pi\)
\(182\) −6.73547 + 1.20994i −0.499266 + 0.0896868i
\(183\) −9.13690 12.5668i −0.675419 0.928962i
\(184\) −14.2848 3.68061i −1.05309 0.271338i
\(185\) 4.89408 + 5.43139i 0.359820 + 0.399323i
\(186\) −11.4781 11.0057i −0.841616 0.806980i
\(187\) 6.95162 + 6.95162i 0.508353 + 0.508353i
\(188\) −4.72475 2.16638i −0.344588 0.158000i
\(189\) −15.0044 7.62561i −1.09141 0.554682i
\(190\) 1.33592 + 10.5674i 0.0969176 + 0.766642i
\(191\) 1.93237i 0.139822i 0.997553 + 0.0699108i \(0.0222715\pi\)
−0.997553 + 0.0699108i \(0.977729\pi\)
\(192\) −1.71814 13.7495i −0.123996 0.992283i
\(193\) −6.07278 6.07278i −0.437128 0.437128i 0.453916 0.891044i \(-0.350027\pi\)
−0.891044 + 0.453916i \(0.850027\pi\)
\(194\) 4.59175 + 3.19327i 0.329668 + 0.229263i
\(195\) −1.19890 + 5.66026i −0.0858552 + 0.405340i
\(196\) 2.43071 + 6.54728i 0.173622 + 0.467663i
\(197\) 13.4343 13.4343i 0.957153 0.957153i −0.0419662 0.999119i \(-0.513362\pi\)
0.999119 + 0.0419662i \(0.0133622\pi\)
\(198\) 9.60015 + 1.31108i 0.682253 + 0.0931741i
\(199\) 18.4880i 1.31058i 0.755377 + 0.655290i \(0.227454\pi\)
−0.755377 + 0.655290i \(0.772546\pi\)
\(200\) 5.88572 + 12.8592i 0.416183 + 0.909281i
\(201\) 20.9614 + 3.31256i 1.47851 + 0.233650i
\(202\) 2.23601 + 12.4474i 0.157325 + 0.875795i
\(203\) 6.21757 + 6.21757i 0.436388 + 0.436388i
\(204\) −14.6185 + 2.94427i −1.02350 + 0.206140i
\(205\) 1.25562 24.1293i 0.0876965 1.68526i
\(206\) −2.90497 + 4.17719i −0.202399 + 0.291038i
\(207\) 7.11284 + 13.9360i 0.494376 + 0.968617i
\(208\) −0.444365 + 5.95905i −0.0308111 + 0.413185i
\(209\) −7.69249 −0.532101
\(210\) 17.7329 + 0.549611i 1.22369 + 0.0379268i
\(211\) 16.4703i 1.13386i 0.823766 + 0.566930i \(0.191869\pi\)
−0.823766 + 0.566930i \(0.808131\pi\)
\(212\) −14.9855 6.87112i −1.02921 0.471910i
\(213\) 7.51256 + 10.3327i 0.514752 + 0.707983i
\(214\) 8.45345 + 5.87884i 0.577866 + 0.401869i
\(215\) −2.73415 + 2.46367i −0.186468 + 0.168021i
\(216\) −9.71719 + 11.0262i −0.661171 + 0.750235i
\(217\) 14.8693 14.8693i 1.00939 1.00939i
\(218\) −0.351380 1.95605i −0.0237984 0.132480i
\(219\) −4.43829 0.701388i −0.299912 0.0473954i
\(220\) −9.74661 + 3.05232i −0.657116 + 0.205787i
\(221\) 6.43084 0.432585
\(222\) −0.168226 8.00713i −0.0112906 0.537403i
\(223\) 4.42933 + 4.42933i 0.296610 + 0.296610i 0.839685 0.543074i \(-0.182740\pi\)
−0.543074 + 0.839685i \(0.682740\pi\)
\(224\) 18.2256 1.88960i 1.21775 0.126255i
\(225\) 6.08147 13.7119i 0.405432 0.914125i
\(226\) −21.8172 15.1725i −1.45126 1.00926i
\(227\) −10.1132 + 10.1132i −0.671238 + 0.671238i −0.958001 0.286764i \(-0.907421\pi\)
0.286764 + 0.958001i \(0.407421\pi\)
\(228\) 6.45921 9.71726i 0.427771 0.643541i
\(229\) 14.7318 0.973503 0.486752 0.873540i \(-0.338182\pi\)
0.486752 + 0.873540i \(0.338182\pi\)
\(230\) −13.0326 10.1073i −0.859342 0.666453i
\(231\) −2.00000 + 12.6557i −0.131590 + 0.832685i
\(232\) 6.61215 3.90287i 0.434109 0.256236i
\(233\) −5.91148 + 5.91148i −0.387274 + 0.387274i −0.873714 0.486440i \(-0.838295\pi\)
0.486440 + 0.873714i \(0.338295\pi\)
\(234\) 5.04690 3.83405i 0.329926 0.250639i
\(235\) −3.89008 4.31716i −0.253761 0.281621i
\(236\) −5.16016 13.8993i −0.335898 0.904765i
\(237\) 8.44224 + 11.6113i 0.548383 + 0.754237i
\(238\) −3.48650 19.4086i −0.225996 1.25807i
\(239\) 24.4787 1.58339 0.791697 0.610914i \(-0.209198\pi\)
0.791697 + 0.610914i \(0.209198\pi\)
\(240\) 4.32827 14.8750i 0.279389 0.960178i
\(241\) 7.20044 0.463821 0.231911 0.972737i \(-0.425502\pi\)
0.231911 + 0.972737i \(0.425502\pi\)
\(242\) 1.44634 + 8.05142i 0.0929740 + 0.517565i
\(243\) 15.5884 0.0268543i 0.999999 0.00172270i
\(244\) −6.24420 16.8192i −0.399744 1.07674i
\(245\) −0.405772 + 7.79771i −0.0259238 + 0.498178i
\(246\) −18.3185 + 19.1048i −1.16795 + 1.21808i
\(247\) −3.55810 + 3.55810i −0.226397 + 0.226397i
\(248\) −9.33366 15.8129i −0.592688 1.00412i
\(249\) 12.7730 + 2.01854i 0.809457 + 0.127920i
\(250\) 0.344194 + 15.8076i 0.0217687 + 0.999763i
\(251\) 17.5748 1.10931 0.554656 0.832080i \(-0.312850\pi\)
0.554656 + 0.832080i \(0.312850\pi\)
\(252\) −14.3075 13.1531i −0.901290 0.828570i
\(253\) 8.42223 8.42223i 0.529501 0.529501i
\(254\) −11.7625 8.18006i −0.738044 0.513263i
\(255\) −16.3103 3.45469i −1.02139 0.216341i
\(256\) 2.37304 15.8230i 0.148315 0.988940i
\(257\) −1.75603 1.75603i −0.109538 0.109538i 0.650213 0.759752i \(-0.274679\pi\)
−0.759752 + 0.650213i \(0.774679\pi\)
\(258\) 4.03078 0.0846847i 0.250945 0.00527224i
\(259\) 10.5907 0.658075
\(260\) −3.09639 + 5.92005i −0.192030 + 0.367146i
\(261\) −7.74698 2.51125i −0.479526 0.155442i
\(262\) 0.687265 + 3.82585i 0.0424594 + 0.236362i
\(263\) −12.6682 + 12.6682i −0.781156 + 0.781156i −0.980026 0.198870i \(-0.936273\pi\)
0.198870 + 0.980026i \(0.436273\pi\)
\(264\) 10.2658 + 4.44852i 0.631816 + 0.273787i
\(265\) −12.3382 13.6927i −0.757927 0.841138i
\(266\) 12.6676 + 8.80948i 0.776698 + 0.540144i
\(267\) 16.1541 11.7451i 0.988613 0.718790i
\(268\) 22.2747 + 10.2133i 1.36064 + 0.623879i
\(269\) 8.45856i 0.515728i 0.966181 + 0.257864i \(0.0830186\pi\)
−0.966181 + 0.257864i \(0.916981\pi\)
\(270\) −14.8600 + 7.01293i −0.904349 + 0.426793i
\(271\) −2.72369 −0.165453 −0.0827263 0.996572i \(-0.526363\pi\)
−0.0827263 + 0.996572i \(0.526363\pi\)
\(272\) −17.1713 1.28046i −1.04116 0.0776392i
\(273\) 4.92872 + 6.77889i 0.298300 + 0.410277i
\(274\) 11.6177 16.7056i 0.701852 1.00922i
\(275\) −11.3572 1.18521i −0.684867 0.0714707i
\(276\) 3.56713 + 17.7110i 0.214716 + 1.06608i
\(277\) −18.4490 18.4490i −1.10849 1.10849i −0.993349 0.115146i \(-0.963266\pi\)
−0.115146 0.993349i \(-0.536734\pi\)
\(278\) 0.214304 + 1.19298i 0.0128531 + 0.0715503i
\(279\) −6.00561 + 18.5268i −0.359547 + 1.10917i
\(280\) 19.5457 + 6.13548i 1.16808 + 0.366665i
\(281\) 21.0738i 1.25716i 0.777746 + 0.628579i \(0.216363\pi\)
−0.777746 + 0.628579i \(0.783637\pi\)
\(282\) 0.133715 + 6.36450i 0.00796262 + 0.379000i
\(283\) −2.63446 + 2.63446i −0.156602 + 0.156602i −0.781059 0.624457i \(-0.785320\pi\)
0.624457 + 0.781059i \(0.285320\pi\)
\(284\) 5.13412 + 13.8291i 0.304654 + 0.820607i
\(285\) 10.9357 7.11286i 0.647777 0.421329i
\(286\) −3.96120 2.75477i −0.234231 0.162893i
\(287\) −24.7492 24.7492i −1.46090 1.46090i
\(288\) −14.2394 + 9.23256i −0.839063 + 0.544034i
\(289\) 1.53076i 0.0900446i
\(290\) 8.51657 1.07665i 0.500110 0.0632231i
\(291\) 1.06924 6.76597i 0.0626797 0.396628i
\(292\) −4.71635 2.16253i −0.276003 0.126553i
\(293\) −17.1460 17.1460i −1.00168 1.00168i −0.999999 0.00168124i \(-0.999465\pi\)
−0.00168124 0.999999i \(-0.500535\pi\)
\(294\) 5.91988 6.17396i 0.345254 0.360073i
\(295\) 0.861415 16.5538i 0.0501535 0.963800i
\(296\) 2.30743 8.95538i 0.134117 0.520521i
\(297\) −3.67873 11.2823i −0.213461 0.654664i
\(298\) 10.9101 1.95987i 0.632008 0.113532i
\(299\) 7.79128i 0.450581i
\(300\) 11.0336 13.3514i 0.637024 0.770844i
\(301\) 5.33135i 0.307294i
\(302\) −1.49056 8.29760i −0.0857720 0.477473i
\(303\) 12.5276 9.10846i 0.719694 0.523267i
\(304\) 10.2091 8.79219i 0.585533 0.504267i
\(305\) 1.04238 20.0314i 0.0596865 1.14700i
\(306\) 11.0480 + 14.5429i 0.631571 + 0.831362i
\(307\) 3.18267 + 3.18267i 0.181644 + 0.181644i 0.792072 0.610428i \(-0.209002\pi\)
−0.610428 + 0.792072i \(0.709002\pi\)
\(308\) −6.16643 + 13.4486i −0.351365 + 0.766305i
\(309\) 6.15511 + 0.972701i 0.350152 + 0.0553350i
\(310\) −2.57480 20.3673i −0.146239 1.15678i
\(311\) 6.88470i 0.390395i −0.980764 0.195198i \(-0.937465\pi\)
0.980764 0.195198i \(-0.0625349\pi\)
\(312\) 6.80599 2.69073i 0.385313 0.152333i
\(313\) 2.20044 + 2.20044i 0.124376 + 0.124376i 0.766555 0.642179i \(-0.221969\pi\)
−0.642179 + 0.766555i \(0.721969\pi\)
\(314\) −1.83222 + 2.63464i −0.103398 + 0.148681i
\(315\) −8.85888 19.8408i −0.499142 1.11790i
\(316\) 5.76947 + 15.5405i 0.324558 + 0.874219i
\(317\) −12.2682 + 12.2682i −0.689052 + 0.689052i −0.962022 0.272971i \(-0.911994\pi\)
0.272971 + 0.962022i \(0.411994\pi\)
\(318\) 0.424104 + 20.1863i 0.0237826 + 1.13199i
\(319\) 6.19958i 0.347110i
\(320\) 9.44657 15.1909i 0.528080 0.849195i
\(321\) 1.96847 12.4562i 0.109869 0.695239i
\(322\) −23.5144 + 4.22407i −1.31041 + 0.235398i
\(323\) −10.2528 10.2528i −0.570483 0.570483i
\(324\) 17.3409 + 4.82644i 0.963381 + 0.268136i
\(325\) −5.80141 + 4.70499i −0.321804 + 0.260986i
\(326\) 16.2872 + 11.3267i 0.902067 + 0.627330i
\(327\) −1.96866 + 1.43135i −0.108867 + 0.0791540i
\(328\) −26.3198 + 15.5354i −1.45327 + 0.857800i
\(329\) −8.41808 −0.464104
\(330\) 8.56679 + 9.11481i 0.471586 + 0.501754i
\(331\) 22.1105i 1.21530i 0.794204 + 0.607651i \(0.207888\pi\)
−0.794204 + 0.607651i \(0.792112\pi\)
\(332\) 13.5732 + 6.22358i 0.744929 + 0.341563i
\(333\) −8.73668 + 4.45915i −0.478767 + 0.244360i
\(334\) −1.17602 + 1.69105i −0.0643489 + 0.0925303i
\(335\) 18.3396 + 20.3531i 1.00200 + 1.11201i
\(336\) −11.8106 19.0820i −0.644324 1.04101i
\(337\) 2.03793 2.03793i 0.111013 0.111013i −0.649418 0.760432i \(-0.724987\pi\)
0.760432 + 0.649418i \(0.224987\pi\)
\(338\) 14.9887 2.69253i 0.815279 0.146454i
\(339\) −5.08036 + 32.1478i −0.275927 + 1.74603i
\(340\) −17.0589 8.92240i −0.925148 0.483885i
\(341\) 14.8262 0.802885
\(342\) −14.1591 1.93369i −0.765637 0.104562i
\(343\) −8.03485 8.03485i −0.433841 0.433841i
\(344\) 4.50813 + 1.16156i 0.243062 + 0.0626270i
\(345\) −4.18553 + 19.7608i −0.225342 + 1.06388i
\(346\) 7.51699 10.8090i 0.404116 0.581097i
\(347\) 2.80739 2.80739i 0.150709 0.150709i −0.627726 0.778435i \(-0.716014\pi\)
0.778435 + 0.627726i \(0.216014\pi\)
\(348\) −7.83139 5.20564i −0.419807 0.279052i
\(349\) −36.8980 −1.97511 −0.987554 0.157283i \(-0.949726\pi\)
−0.987554 + 0.157283i \(0.949726\pi\)
\(350\) 17.3451 + 14.9581i 0.927136 + 0.799544i
\(351\) −6.92010 3.51696i −0.369367 0.187721i
\(352\) 10.0285 + 8.14435i 0.534520 + 0.434095i
\(353\) −2.00153 + 2.00153i −0.106531 + 0.106531i −0.758363 0.651832i \(-0.774001\pi\)
0.651832 + 0.758363i \(0.274001\pi\)
\(354\) −12.5673 + 13.1067i −0.667947 + 0.696616i
\(355\) −0.857068 + 16.4703i −0.0454884 + 0.874151i
\(356\) 21.6204 8.02667i 1.14588 0.425413i
\(357\) −19.5337 + 14.2023i −1.03383 + 0.751668i
\(358\) −12.7011 + 2.28159i −0.671274 + 0.120586i
\(359\) −12.9584 −0.683920 −0.341960 0.939714i \(-0.611091\pi\)
−0.341960 + 0.939714i \(0.611091\pi\)
\(360\) −18.7073 + 3.16819i −0.985961 + 0.166978i
\(361\) −7.65447 −0.402867
\(362\) −4.09400 + 0.735434i −0.215176 + 0.0386536i
\(363\) 8.10334 5.89168i 0.425315 0.309233i
\(364\) 3.36831 + 9.07278i 0.176548 + 0.475543i
\(365\) −3.88316 4.30948i −0.203254 0.225569i
\(366\) −15.2075 + 15.8602i −0.794908 + 0.829026i
\(367\) 20.3623 20.3623i 1.06291 1.06291i 0.0650212 0.997884i \(-0.479289\pi\)
0.997884 0.0650212i \(-0.0207115\pi\)
\(368\) −1.55134 + 20.8039i −0.0808691 + 1.08448i
\(369\) 30.8370 + 9.99605i 1.60531 + 0.520374i
\(370\) 6.33640 8.17031i 0.329414 0.424754i
\(371\) −26.6996 −1.38617
\(372\) −12.4492 + 18.7287i −0.645463 + 0.971037i
\(373\) 10.1764 10.1764i 0.526916 0.526916i −0.392735 0.919652i \(-0.628471\pi\)
0.919652 + 0.392735i \(0.128471\pi\)
\(374\) 7.93799 11.4144i 0.410464 0.590224i
\(375\) 17.2415 8.81655i 0.890346 0.455285i
\(376\) −1.83407 + 7.11823i −0.0945850 + 0.367095i
\(377\) 2.86757 + 2.86757i 0.147687 + 0.147687i
\(378\) −6.86259 + 22.7919i −0.352974 + 1.17229i
\(379\) −13.0462 −0.670137 −0.335068 0.942194i \(-0.608759\pi\)
−0.335068 + 0.942194i \(0.608759\pi\)
\(380\) 14.3751 4.50182i 0.737428 0.230939i
\(381\) −2.73902 + 17.3321i −0.140324 + 0.887951i
\(382\) 2.68973 0.483176i 0.137619 0.0247214i
\(383\) −11.1099 + 11.1099i −0.567687 + 0.567687i −0.931480 0.363793i \(-0.881482\pi\)
0.363793 + 0.931480i \(0.381482\pi\)
\(384\) −18.7087 + 5.82950i −0.954726 + 0.297485i
\(385\) −12.2884 + 11.0728i −0.626277 + 0.564321i
\(386\) −6.93445 + 9.97137i −0.352954 + 0.507529i
\(387\) −2.24473 4.39803i −0.114106 0.223565i
\(388\) 3.29668 7.18986i 0.167364 0.365010i
\(389\) 14.2176i 0.720861i −0.932786 0.360431i \(-0.882630\pi\)
0.932786 0.360431i \(-0.117370\pi\)
\(390\) 8.17849 + 0.253483i 0.414134 + 0.0128356i
\(391\) 22.4509 1.13539
\(392\) 8.50559 5.02048i 0.429597 0.253573i
\(393\) 3.85052 2.79959i 0.194233 0.141221i
\(394\) −22.0588 15.3405i −1.11130 0.772842i
\(395\) −0.963130 + 18.5085i −0.0484603 + 0.931262i
\(396\) −0.575520 13.6906i −0.0289210 0.687978i
\(397\) 24.3286 + 24.3286i 1.22102 + 1.22102i 0.967271 + 0.253746i \(0.0816626\pi\)
0.253746 + 0.967271i \(0.418337\pi\)
\(398\) 25.7341 4.62280i 1.28993 0.231720i
\(399\) 2.94977 18.6657i 0.147673 0.934455i
\(400\) 16.4274 11.4079i 0.821371 0.570394i
\(401\) 21.3193i 1.06463i 0.846545 + 0.532317i \(0.178679\pi\)
−0.846545 + 0.532317i \(0.821321\pi\)
\(402\) −0.630396 30.0052i −0.0314413 1.49652i
\(403\) 6.85775 6.85775i 0.341609 0.341609i
\(404\) 16.7668 6.22476i 0.834181 0.309694i
\(405\) 15.6619 + 12.6375i 0.778245 + 0.627961i
\(406\) 7.09979 10.2091i 0.352357 0.506670i
\(407\) 5.28003 + 5.28003i 0.261721 + 0.261721i
\(408\) 7.75348 + 19.6118i 0.383854 + 0.970928i
\(409\) 0.899012i 0.0444533i −0.999753 0.0222266i \(-0.992924\pi\)
0.999753 0.0222266i \(-0.00707554\pi\)
\(410\) −33.9003 + 4.28562i −1.67422 + 0.211652i
\(411\) −24.6159 3.89008i −1.21421 0.191883i
\(412\) 6.54073 + 2.99904i 0.322239 + 0.147752i
\(413\) −16.9791 16.9791i −0.835485 0.835485i
\(414\) 17.6194 13.3852i 0.865948 0.657846i
\(415\) 11.1754 + 12.4023i 0.548579 + 0.608806i
\(416\) 8.40571 0.871492i 0.412124 0.0427284i
\(417\) 1.20067 0.872972i 0.0587972 0.0427496i
\(418\) 1.92345 + 10.7074i 0.0940792 + 0.523718i
\(419\) 31.7713i 1.55213i −0.630653 0.776065i \(-0.717213\pi\)
0.630653 0.776065i \(-0.282787\pi\)
\(420\) −3.66897 24.8205i −0.179028 1.21112i
\(421\) 21.3473i 1.04040i −0.854044 0.520201i \(-0.825857\pi\)
0.854044 0.520201i \(-0.174143\pi\)
\(422\) 22.9255 4.11828i 1.11600 0.200475i
\(423\) 6.94439 3.54437i 0.337648 0.172333i
\(424\) −5.81712 + 22.5769i −0.282504 + 1.09643i
\(425\) −13.5577 16.7170i −0.657643 0.810895i
\(426\) 12.5039 13.0406i 0.605817 0.631819i
\(427\) −20.5460 20.5460i −0.994291 0.994291i
\(428\) 6.06923 13.2366i 0.293367 0.639815i
\(429\) −0.922407 + 5.83686i −0.0445342 + 0.281806i
\(430\) 4.11292 + 3.18973i 0.198343 + 0.153823i
\(431\) 5.92452i 0.285374i −0.989768 0.142687i \(-0.954426\pi\)
0.989768 0.142687i \(-0.0455743\pi\)
\(432\) 17.7774 + 10.7687i 0.855315 + 0.518108i
\(433\) −19.7804 19.7804i −0.950585 0.950585i 0.0482500 0.998835i \(-0.484636\pi\)
−0.998835 + 0.0482500i \(0.984636\pi\)
\(434\) −24.4150 16.9791i −1.17196 0.815021i
\(435\) −5.73244 8.81339i −0.274849 0.422570i
\(436\) −2.63483 + 0.978194i −0.126186 + 0.0468470i
\(437\) −12.4218 + 12.4218i −0.594217 + 0.594217i
\(438\) 0.133477 + 6.35318i 0.00637779 + 0.303567i
\(439\) 16.2344i 0.774827i −0.921906 0.387413i \(-0.873369\pi\)
0.921906 0.387413i \(-0.126631\pi\)
\(440\) 6.68570 + 12.8034i 0.318728 + 0.610379i
\(441\) −9.96539 3.23036i −0.474542 0.153827i
\(442\) −1.60799 8.95130i −0.0764841 0.425770i
\(443\) 28.5774 + 28.5774i 1.35775 + 1.35775i 0.876682 + 0.481070i \(0.159752\pi\)
0.481070 + 0.876682i \(0.340248\pi\)
\(444\) −11.1033 + 2.23629i −0.526940 + 0.106129i
\(445\) 25.7496 + 1.33994i 1.22065 + 0.0635191i
\(446\) 5.05781 7.27286i 0.239494 0.344380i
\(447\) −7.98357 10.9805i −0.377610 0.519359i
\(448\) −7.18739 24.8963i −0.339572 1.17624i
\(449\) −2.81035 −0.132628 −0.0663142 0.997799i \(-0.521124\pi\)
−0.0663142 + 0.997799i \(0.521124\pi\)
\(450\) −20.6067 5.03645i −0.971407 0.237420i
\(451\) 24.6775i 1.16202i
\(452\) −15.6639 + 34.1619i −0.736766 + 1.60684i
\(453\) −8.35110 + 6.07182i −0.392369 + 0.285279i
\(454\) 16.6057 + 11.5482i 0.779342 + 0.541983i
\(455\) −0.562291 + 10.8056i −0.0263606 + 0.506572i
\(456\) −15.1409 6.56105i −0.709035 0.307249i
\(457\) −29.1068 + 29.1068i −1.36156 + 1.36156i −0.489623 + 0.871934i \(0.662866\pi\)
−0.871934 + 0.489623i \(0.837134\pi\)
\(458\) −3.68358 20.5057i −0.172122 0.958166i
\(459\) 10.1343 19.9406i 0.473028 0.930747i
\(460\) −10.8099 + 20.6677i −0.504016 + 0.963637i
\(461\) 27.6096 1.28591 0.642954 0.765905i \(-0.277709\pi\)
0.642954 + 0.765905i \(0.277709\pi\)
\(462\) 18.1160 0.380609i 0.842833 0.0177075i
\(463\) 15.0078 + 15.0078i 0.697470 + 0.697470i 0.963864 0.266395i \(-0.0858324\pi\)
−0.266395 + 0.963864i \(0.585832\pi\)
\(464\) −7.08585 8.22779i −0.328953 0.381966i
\(465\) −21.0771 + 13.7091i −0.977428 + 0.635742i
\(466\) 9.70650 + 6.75026i 0.449645 + 0.312700i
\(467\) 13.7467 13.7467i 0.636119 0.636119i −0.313477 0.949596i \(-0.601494\pi\)
0.949596 + 0.313477i \(0.101494\pi\)
\(468\) −6.59868 6.06628i −0.305024 0.280414i
\(469\) 39.6867 1.83256
\(470\) −5.03651 + 6.49421i −0.232317 + 0.299555i
\(471\) 3.88216 + 0.613503i 0.178881 + 0.0282687i
\(472\) −18.0566 + 10.6580i −0.831121 + 0.490575i
\(473\) −2.65796 + 2.65796i −0.122213 + 0.122213i
\(474\) 14.0513 14.6544i 0.645397 0.673098i
\(475\) 16.7506 + 1.74804i 0.768570 + 0.0802058i
\(476\) −26.1437 + 9.70595i −1.19829 + 0.444872i
\(477\) 22.0255 11.2417i 1.00848 0.514721i
\(478\) −6.12072 34.0727i −0.279955 1.55845i
\(479\) −37.7789 −1.72616 −0.863081 0.505066i \(-0.831468\pi\)
−0.863081 + 0.505066i \(0.831468\pi\)
\(480\) −21.7873 2.30527i −0.994449 0.105221i
\(481\) 4.88447 0.222713
\(482\) −1.80042 10.0225i −0.0820069 0.456514i
\(483\) 17.2069 + 23.6661i 0.782939 + 1.07684i
\(484\) 10.8454 4.02641i 0.492973 0.183018i
\(485\) 6.56961 5.91970i 0.298311 0.268800i
\(486\) −3.93516 21.6913i −0.178502 0.983939i
\(487\) −16.6047 + 16.6047i −0.752429 + 0.752429i −0.974932 0.222503i \(-0.928577\pi\)
0.222503 + 0.974932i \(0.428577\pi\)
\(488\) −21.8499 + 12.8970i −0.989097 + 0.583822i
\(489\) 3.79265 23.9994i 0.171510 1.08529i
\(490\) 10.9554 1.38496i 0.494913 0.0625660i
\(491\) −6.31858 −0.285154 −0.142577 0.989784i \(-0.545539\pi\)
−0.142577 + 0.989784i \(0.545539\pi\)
\(492\) 31.1730 + 20.7211i 1.40539 + 0.934181i
\(493\) −8.26303 + 8.26303i −0.372148 + 0.372148i
\(494\) 5.84232 + 4.06296i 0.262858 + 0.182801i
\(495\) 5.47508 14.3083i 0.246086 0.643111i
\(496\) −19.6767 + 16.9457i −0.883508 + 0.760886i
\(497\) 16.8934 + 16.8934i 0.757771 + 0.757771i
\(498\) −0.384137 18.2839i −0.0172136 0.819322i
\(499\) −29.5722 −1.32383 −0.661917 0.749577i \(-0.730257\pi\)
−0.661917 + 0.749577i \(0.730257\pi\)
\(500\) 21.9171 4.43169i 0.980163 0.198191i
\(501\) 2.49178 + 0.393779i 0.111324 + 0.0175927i
\(502\) −4.39446 24.4630i −0.196134 1.09184i
\(503\) 24.2566 24.2566i 1.08155 1.08155i 0.0851818 0.996365i \(-0.472853\pi\)
0.996365 0.0851818i \(-0.0271471\pi\)
\(504\) −14.7308 + 23.2040i −0.656162 + 1.03359i
\(505\) 19.9690 + 1.03913i 0.888611 + 0.0462409i
\(506\) −13.8291 9.61727i −0.614779 0.427540i
\(507\) −10.9681 15.0854i −0.487110 0.669964i
\(508\) −8.44498 + 18.4180i −0.374685 + 0.817165i
\(509\) 36.5584i 1.62042i 0.586138 + 0.810211i \(0.300648\pi\)
−0.586138 + 0.810211i \(0.699352\pi\)
\(510\) −0.730422 + 23.5667i −0.0323436 + 1.04355i
\(511\) −8.40310 −0.371731
\(512\) −22.6180 + 0.653333i −0.999583 + 0.0288735i
\(513\) 5.42570 + 16.6400i 0.239551 + 0.734676i
\(514\) −2.00519 + 2.88336i −0.0884453 + 0.127180i
\(515\) 5.38525 + 5.97648i 0.237303 + 0.263355i
\(516\) −1.12574 5.58940i −0.0495581 0.246059i
\(517\) −4.19685 4.19685i −0.184577 0.184577i
\(518\) −2.64813 14.7416i −0.116352 0.647707i
\(519\) −15.9272 2.51699i −0.699126 0.110484i
\(520\) 9.01454 + 2.82971i 0.395314 + 0.124091i
\(521\) 29.0118i 1.27103i −0.772089 0.635515i \(-0.780788\pi\)
0.772089 0.635515i \(-0.219212\pi\)
\(522\) −1.55841 + 11.4112i −0.0682097 + 0.499455i
\(523\) −1.09850 + 1.09850i −0.0480342 + 0.0480342i −0.730716 0.682682i \(-0.760814\pi\)
0.682682 + 0.730716i \(0.260814\pi\)
\(524\) 5.15348 1.91325i 0.225131 0.0835809i
\(525\) 7.23095 27.1037i 0.315584 1.18290i
\(526\) 20.8009 + 14.4657i 0.906963 + 0.630735i
\(527\) 19.7609 + 19.7609i 0.860800 + 0.860800i
\(528\) 3.62515 15.4016i 0.157764 0.670269i
\(529\) 4.20044i 0.182628i
\(530\) −15.9743 + 20.5977i −0.693880 + 0.894706i
\(531\) 21.1556 + 6.85775i 0.918074 + 0.297601i
\(532\) 9.09477 19.8351i 0.394308 0.859962i
\(533\) −11.4144 11.4144i −0.494412 0.494412i
\(534\) −20.3876 19.5486i −0.882259 0.845950i
\(535\) 12.0947 10.8982i 0.522901 0.471172i
\(536\) 8.64667 33.5586i 0.373479 1.44951i
\(537\) 9.29412 + 12.7830i 0.401071 + 0.551627i
\(538\) 11.7738 2.11501i 0.507603 0.0911844i
\(539\) 7.97487i 0.343502i
\(540\) 13.4772 + 18.9306i 0.579965 + 0.814641i
\(541\) 1.84481i 0.0793147i 0.999213 + 0.0396574i \(0.0126266\pi\)
−0.999213 + 0.0396574i \(0.987373\pi\)
\(542\) 0.681040 + 3.79120i 0.0292532 + 0.162846i
\(543\) 2.99581 + 4.12039i 0.128563 + 0.176823i
\(544\) 2.51125 + 24.2214i 0.107669 + 1.03849i
\(545\) −3.13805 0.163295i −0.134419 0.00699481i
\(546\) 8.20337 8.55547i 0.351072 0.366140i
\(547\) 21.0963 + 21.0963i 0.902012 + 0.902012i 0.995610 0.0935978i \(-0.0298368\pi\)
−0.0935978 + 0.995610i \(0.529837\pi\)
\(548\) −26.1581 11.9940i −1.11742 0.512356i
\(549\) 25.5999 + 8.29842i 1.09258 + 0.354168i
\(550\) 1.19007 + 16.1049i 0.0507446 + 0.686713i
\(551\) 9.14366i 0.389533i
\(552\) 23.7607 9.39372i 1.01132 0.399823i
\(553\) 18.9839 + 18.9839i 0.807279 + 0.807279i
\(554\) −21.0668 + 30.2929i −0.895041 + 1.28702i
\(555\) −12.3883 2.62398i −0.525855 0.111382i
\(556\) 1.60697 0.596593i 0.0681505 0.0253012i
\(557\) 9.36550 9.36550i 0.396829 0.396829i −0.480284 0.877113i \(-0.659466\pi\)
0.877113 + 0.480284i \(0.159466\pi\)
\(558\) 27.2897 + 3.72691i 1.15527 + 0.157773i
\(559\) 2.45884i 0.103998i
\(560\) 3.65292 28.7404i 0.154364 1.21451i
\(561\) −16.8192 2.65796i −0.710107 0.112219i
\(562\) 29.3333 5.26936i 1.23735 0.222274i
\(563\) 3.03352 + 3.03352i 0.127848 + 0.127848i 0.768135 0.640288i \(-0.221185\pi\)
−0.640288 + 0.768135i \(0.721185\pi\)
\(564\) 8.82552 1.77752i 0.371622 0.0748472i
\(565\) −31.2149 + 28.1269i −1.31322 + 1.18331i
\(566\) 4.32572 + 3.00826i 0.181823 + 0.126447i
\(567\) 28.7869 4.60008i 1.20894 0.193185i
\(568\) 17.9654 10.6042i 0.753813 0.444944i
\(569\) 23.6605 0.991898 0.495949 0.868352i \(-0.334820\pi\)
0.495949 + 0.868352i \(0.334820\pi\)
\(570\) −12.6350 13.4433i −0.529223 0.563078i
\(571\) 13.8475i 0.579498i −0.957103 0.289749i \(-0.906428\pi\)
0.957103 0.289749i \(-0.0935718\pi\)
\(572\) −2.84398 + 6.20254i −0.118913 + 0.259341i
\(573\) −1.96823 2.70707i −0.0822240 0.113090i
\(574\) −28.2608 + 40.6375i −1.17958 + 1.69618i
\(575\) −20.2535 + 16.4258i −0.844630 + 0.685002i
\(576\) 16.4116 + 17.5117i 0.683815 + 0.729655i
\(577\) −7.31424 + 7.31424i −0.304496 + 0.304496i −0.842770 0.538274i \(-0.819077\pi\)
0.538274 + 0.842770i \(0.319077\pi\)
\(578\) 2.13071 0.382755i 0.0886260 0.0159205i
\(579\) 14.6929 + 2.32193i 0.610615 + 0.0964963i
\(580\) −3.62813 11.5853i −0.150650 0.481053i
\(581\) 24.1834 1.00330
\(582\) −9.68514 + 0.203480i −0.401462 + 0.00843453i
\(583\) −13.3112 13.3112i −0.551292 0.551292i
\(584\) −1.83081 + 7.10557i −0.0757594 + 0.294030i
\(585\) −4.08575 9.15066i −0.168925 0.378333i
\(586\) −19.5788 + 28.1533i −0.808795 + 1.16300i
\(587\) −7.53359 + 7.53359i −0.310944 + 0.310944i −0.845275 0.534331i \(-0.820564\pi\)
0.534331 + 0.845275i \(0.320564\pi\)
\(588\) −10.0740 6.69632i −0.415444 0.276152i
\(589\) −21.8670 −0.901012
\(590\) −23.2572 + 2.94013i −0.957484 + 0.121043i
\(591\) −5.13661 + 32.5038i −0.211292 + 1.33703i
\(592\) −13.0423 0.972558i −0.536033 0.0399719i
\(593\) −18.0049 + 18.0049i −0.739373 + 0.739373i −0.972457 0.233084i \(-0.925118\pi\)
0.233084 + 0.972457i \(0.425118\pi\)
\(594\) −14.7843 + 7.94160i −0.606608 + 0.325848i
\(595\) −31.1367 1.62027i −1.27648 0.0664246i
\(596\) −5.45601 14.6961i −0.223487 0.601977i
\(597\) −18.8311 25.9000i −0.770705 1.06002i
\(598\) −10.8449 + 1.94816i −0.443483 + 0.0796660i
\(599\) 19.8681 0.811789 0.405895 0.913920i \(-0.366960\pi\)
0.405895 + 0.913920i \(0.366960\pi\)
\(600\) −21.3431 12.0196i −0.871330 0.490697i
\(601\) −16.4386 −0.670546 −0.335273 0.942121i \(-0.608828\pi\)
−0.335273 + 0.942121i \(0.608828\pi\)
\(602\) 7.42088 1.33307i 0.302453 0.0543318i
\(603\) −32.7391 + 16.7098i −1.33324 + 0.680476i
\(604\) −11.1770 + 4.14951i −0.454786 + 0.168841i
\(605\) 12.9167 + 0.672150i 0.525139 + 0.0273268i
\(606\) −15.8108 15.1601i −0.642270 0.615838i
\(607\) −17.5088 + 17.5088i −0.710659 + 0.710659i −0.966673 0.256014i \(-0.917591\pi\)
0.256014 + 0.966673i \(0.417591\pi\)
\(608\) −14.7909 12.0120i −0.599849 0.487150i
\(609\) −15.0432 2.37730i −0.609581 0.0963329i
\(610\) −28.1430 + 3.55779i −1.13948 + 0.144051i
\(611\) −3.88245 −0.157067
\(612\) 17.4803 19.0144i 0.706598 0.768612i
\(613\) −24.2075 + 24.2075i −0.977730 + 0.977730i −0.999757 0.0220274i \(-0.992988\pi\)
0.0220274 + 0.999757i \(0.492988\pi\)
\(614\) 3.63425 5.22586i 0.146667 0.210899i
\(615\) 22.8181 + 35.0819i 0.920113 + 1.41464i
\(616\) 20.2614 + 5.22053i 0.816356 + 0.210341i
\(617\) −3.33572 3.33572i −0.134291 0.134291i 0.636766 0.771057i \(-0.280272\pi\)
−0.771057 + 0.636766i \(0.780272\pi\)
\(618\) −0.185109 8.81073i −0.00744619 0.354419i
\(619\) 46.6044 1.87319 0.936595 0.350413i \(-0.113959\pi\)
0.936595 + 0.350413i \(0.113959\pi\)
\(620\) −27.7061 + 8.67664i −1.11270 + 0.348462i
\(621\) −24.1590 12.2782i −0.969468 0.492707i
\(622\) −9.58304 + 1.72147i −0.384245 + 0.0690247i
\(623\) 26.4110 26.4110i 1.05814 1.05814i
\(624\) −5.44711 8.80068i −0.218059 0.352309i
\(625\) 24.4613 + 5.16164i 0.978454 + 0.206466i
\(626\) 2.51266 3.61307i 0.100426 0.144407i
\(627\) 10.7765 7.83524i 0.430371 0.312909i
\(628\) 4.12538 + 1.89156i 0.164620 + 0.0754815i
\(629\) 14.0748i 0.561201i
\(630\) −25.4020 + 17.2920i −1.01204 + 0.688931i
\(631\) −20.4082 −0.812437 −0.406219 0.913776i \(-0.633153\pi\)
−0.406219 + 0.913776i \(0.633153\pi\)
\(632\) 20.1887 11.9165i 0.803062 0.474013i
\(633\) −16.7759 23.0733i −0.666782 0.917082i
\(634\) 20.1441 + 14.0090i 0.800025 + 0.556367i
\(635\) −16.8291 + 15.1643i −0.667843 + 0.601776i
\(636\) 27.9919 5.63776i 1.10995 0.223552i
\(637\) 3.68872 + 3.68872i 0.146152 + 0.146152i
\(638\) 8.62940 1.55016i 0.341641 0.0613715i
\(639\) −21.0488 6.82314i −0.832678 0.269919i
\(640\) −23.5067 9.35063i −0.929185 0.369616i
\(641\) 13.1821i 0.520663i 0.965519 + 0.260331i \(0.0838318\pi\)
−0.965519 + 0.260331i \(0.916168\pi\)
\(642\) −17.8304 + 0.374609i −0.703711 + 0.0147846i
\(643\) 22.6851 22.6851i 0.894614 0.894614i −0.100339 0.994953i \(-0.531993\pi\)
0.994953 + 0.100339i \(0.0319928\pi\)
\(644\) 11.7592 + 31.6743i 0.463379 + 1.24814i
\(645\) 1.32091 6.23627i 0.0520106 0.245553i
\(646\) −11.7076 + 16.8349i −0.460630 + 0.662361i
\(647\) −19.2111 19.2111i −0.755268 0.755268i 0.220189 0.975457i \(-0.429332\pi\)
−0.975457 + 0.220189i \(0.929332\pi\)
\(648\) 2.38212 25.3441i 0.0935786 0.995612i
\(649\) 16.9299i 0.664557i
\(650\) 7.99963 + 6.89872i 0.313771 + 0.270590i
\(651\) −5.68528 + 35.9756i −0.222824 + 1.41000i
\(652\) 11.6936 25.5029i 0.457955 0.998772i
\(653\) −6.30369 6.30369i −0.246683 0.246683i 0.572925 0.819608i \(-0.305809\pi\)
−0.819608 + 0.572925i \(0.805809\pi\)
\(654\) 2.48460 + 2.38235i 0.0971555 + 0.0931571i
\(655\) 6.13772 + 0.319390i 0.239821 + 0.0124796i
\(656\) 28.2054 + 32.7508i 1.10123 + 1.27871i
\(657\) 6.93204 3.53807i 0.270444 0.138033i
\(658\) 2.10488 + 11.7174i 0.0820568 + 0.456792i
\(659\) 33.0388i 1.28701i −0.765442 0.643505i \(-0.777480\pi\)
0.765442 0.643505i \(-0.222520\pi\)
\(660\) 10.5451 14.2035i 0.410469 0.552870i
\(661\) 1.50452i 0.0585192i −0.999572 0.0292596i \(-0.990685\pi\)
0.999572 0.0292596i \(-0.00931495\pi\)
\(662\) 30.7763 5.52857i 1.19616 0.214874i
\(663\) −9.00901 + 6.55017i −0.349881 + 0.254388i
\(664\) 5.26891 20.4492i 0.204474 0.793584i
\(665\) 18.1240 16.3311i 0.702820 0.633292i
\(666\) 8.39138 + 11.0459i 0.325159 + 0.428020i
\(667\) 10.0111 + 10.0111i 0.387630 + 0.387630i
\(668\) 2.64789 + 1.21411i 0.102450 + 0.0469751i
\(669\) −10.7166 1.69356i −0.414328 0.0654768i
\(670\) 23.7445 30.6167i 0.917329 1.18283i
\(671\) 20.4865i 0.790873i
\(672\) −23.6077 + 21.2110i −0.910687 + 0.818230i
\(673\) 29.5487 + 29.5487i 1.13902 + 1.13902i 0.988627 + 0.150391i \(0.0480532\pi\)
0.150391 + 0.988627i \(0.451947\pi\)
\(674\) −3.34624 2.32710i −0.128892 0.0896365i
\(675\) 5.44674 + 25.4034i 0.209645 + 0.977778i
\(676\) −7.49565 20.1900i −0.288294 0.776540i
\(677\) −16.5034 + 16.5034i −0.634278 + 0.634278i −0.949138 0.314860i \(-0.898042\pi\)
0.314860 + 0.949138i \(0.398042\pi\)
\(678\) 46.0180 0.966816i 1.76731 0.0371303i
\(679\) 12.8102i 0.491609i
\(680\) −8.15393 + 25.9758i −0.312689 + 0.996128i
\(681\) 3.86680 24.4686i 0.148176 0.937637i
\(682\) −3.70719 20.6371i −0.141956 0.790236i
\(683\) 1.06473 + 1.06473i 0.0407406 + 0.0407406i 0.727184 0.686443i \(-0.240829\pi\)
−0.686443 + 0.727184i \(0.740829\pi\)
\(684\) 0.848826 + 20.1920i 0.0324557 + 0.772062i
\(685\) −21.5370 23.9015i −0.822887 0.913229i
\(686\) −9.17492 + 13.1930i −0.350300 + 0.503712i
\(687\) −20.6379 + 15.0052i −0.787384 + 0.572482i
\(688\) 0.489584 6.56545i 0.0186652 0.250306i
\(689\) −12.3139 −0.469124
\(690\) 28.5522 + 0.884943i 1.08696 + 0.0336892i
\(691\) 16.7696i 0.637945i −0.947764 0.318972i \(-0.896662\pi\)
0.947764 0.318972i \(-0.103338\pi\)
\(692\) −16.9250 7.76043i −0.643393 0.295007i
\(693\) −10.0888 19.7666i −0.383240 0.750872i
\(694\) −4.60967 3.20573i −0.174981 0.121688i
\(695\) 1.91387 + 0.0995927i 0.0725973 + 0.00377776i
\(696\) −5.28772 + 12.2024i −0.200431 + 0.462531i
\(697\) 32.8911 32.8911i 1.24584 1.24584i
\(698\) 9.22610 + 51.3596i 0.349213 + 1.94399i
\(699\) 2.26026 14.3026i 0.0854908 0.540974i
\(700\) 16.4836 27.8834i 0.623023 1.05389i
\(701\) −40.5328 −1.53090 −0.765451 0.643495i \(-0.777484\pi\)
−0.765451 + 0.643495i \(0.777484\pi\)
\(702\) −3.16505 + 10.5117i −0.119457 + 0.396739i
\(703\) −7.78743 7.78743i −0.293709 0.293709i
\(704\) 8.82884 15.9954i 0.332749 0.602850i
\(705\) 9.84692 + 2.08568i 0.370856 + 0.0785512i
\(706\) 3.28646 + 2.28553i 0.123688 + 0.0860169i
\(707\) 20.4820 20.4820i 0.770306 0.770306i
\(708\) 21.3861 + 14.2157i 0.803739 + 0.534257i
\(709\) 22.2655 0.836199 0.418099 0.908401i \(-0.362696\pi\)
0.418099 + 0.908401i \(0.362696\pi\)
\(710\) 23.1398 2.92530i 0.868422 0.109784i
\(711\) −23.6536 7.66751i −0.887079 0.287554i
\(712\) −16.5786 28.0871i −0.621310 1.05261i
\(713\) 23.9414 23.9414i 0.896611 0.896611i
\(714\) 24.6530 + 23.6384i 0.922615 + 0.884645i
\(715\) −5.66747 + 5.10681i −0.211951 + 0.190984i
\(716\) 6.35165 + 17.1086i 0.237372 + 0.639378i
\(717\) −34.2924 + 24.9329i −1.28067 + 0.931137i
\(718\) 3.24017 + 18.0373i 0.120922 + 0.673146i
\(719\) 36.9961 1.37972 0.689861 0.723942i \(-0.257672\pi\)
0.689861 + 0.723942i \(0.257672\pi\)
\(720\) 9.08754 + 25.2471i 0.338672 + 0.940904i
\(721\) 11.6536 0.434003
\(722\) 1.91395 + 10.6545i 0.0712297 + 0.396520i
\(723\) −10.0872 + 7.33405i −0.375145 + 0.272756i
\(724\) 2.04735 + 5.51468i 0.0760892 + 0.204952i
\(725\) 1.40879 13.4997i 0.0523213 0.501368i
\(726\) −10.2270 9.80613i −0.379560 0.363940i
\(727\) −25.8439 + 25.8439i −0.958497 + 0.958497i −0.999172 0.0406756i \(-0.987049\pi\)
0.0406756 + 0.999172i \(0.487049\pi\)
\(728\) 11.7865 6.95705i 0.436836 0.257846i
\(729\) −21.8106 + 15.9153i −0.807800 + 0.589456i
\(730\) −5.02756 + 6.48266i −0.186078 + 0.239934i
\(731\) −7.08525 −0.262058
\(732\) 25.8789 + 17.2021i 0.956510 + 0.635807i
\(733\) 37.3652 37.3652i 1.38012 1.38012i 0.535719 0.844397i \(-0.320041\pi\)
0.844397 0.535719i \(-0.179959\pi\)
\(734\) −33.4345 23.2515i −1.23409 0.858230i
\(735\) −7.37396 11.3372i −0.271993 0.418178i
\(736\) 29.3455 3.04250i 1.08169 0.112148i
\(737\) 19.7859 + 19.7859i 0.728824 + 0.728824i
\(738\) 6.20327 45.4225i 0.228345 1.67202i
\(739\) −1.28705 −0.0473450 −0.0236725 0.999720i \(-0.507536\pi\)
−0.0236725 + 0.999720i \(0.507536\pi\)
\(740\) −12.9569 6.77691i −0.476305 0.249124i
\(741\) 1.36044 8.60870i 0.0499772 0.316248i
\(742\) 6.67605 + 37.1641i 0.245085 + 1.36434i
\(743\) −7.11771 + 7.11771i −0.261123 + 0.261123i −0.825510 0.564387i \(-0.809113\pi\)
0.564387 + 0.825510i \(0.309113\pi\)
\(744\) 29.1819 + 12.6455i 1.06986 + 0.463607i
\(745\) 0.910802 17.5029i 0.0333692 0.641256i
\(746\) −16.7095 11.6204i −0.611777 0.425452i
\(747\) −19.9498 + 10.1823i −0.729925 + 0.372549i
\(748\) −17.8729 8.19506i −0.653499 0.299641i
\(749\) 23.5836i 0.861727i
\(750\) −16.5832 21.7945i −0.605531 0.795821i
\(751\) −24.0090 −0.876102 −0.438051 0.898950i \(-0.644331\pi\)
−0.438051 + 0.898950i \(0.644331\pi\)
\(752\) 10.3667 + 0.773042i 0.378034 + 0.0281899i
\(753\) −24.6207 + 17.9009i −0.897227 + 0.652346i
\(754\) 3.27445 4.70848i 0.119248 0.171473i
\(755\) −13.3116 0.692702i −0.484460 0.0252100i
\(756\) 33.4408 + 3.85332i 1.21623 + 0.140144i
\(757\) 5.24365 + 5.24365i 0.190584 + 0.190584i 0.795948 0.605365i \(-0.206973\pi\)
−0.605365 + 0.795948i \(0.706973\pi\)
\(758\) 3.26210 + 18.1594i 0.118485 + 0.659579i
\(759\) −3.22025 + 20.3773i −0.116888 + 0.739649i
\(760\) −9.86063 18.8836i −0.357683 0.684979i
\(761\) 41.1375i 1.49123i −0.666376 0.745616i \(-0.732155\pi\)
0.666376 0.745616i \(-0.267845\pi\)
\(762\) 24.8100 0.521247i 0.898772 0.0188828i
\(763\) −3.21866 + 3.21866i −0.116523 + 0.116523i
\(764\) −1.34510 3.62311i −0.0486639 0.131080i
\(765\) 26.3681 11.7733i 0.953339 0.425664i
\(766\) 18.2421 + 12.6862i 0.659115 + 0.458372i
\(767\) −7.83080 7.83080i −0.282754 0.282754i
\(768\) 12.7923 + 24.5837i 0.461601 + 0.887088i
\(769\) 43.5085i 1.56896i −0.620156 0.784478i \(-0.712931\pi\)
0.620156 0.784478i \(-0.287069\pi\)
\(770\) 18.4852 + 14.3360i 0.666161 + 0.516634i
\(771\) 4.24865 + 0.671420i 0.153012 + 0.0241806i
\(772\) 15.6134 + 7.15902i 0.561938 + 0.257659i
\(773\) 34.3280 + 34.3280i 1.23469 + 1.23469i 0.962141 + 0.272551i \(0.0878672\pi\)