Properties

Label 120.2.w.c.53.10
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 53.10
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.250043 + 1.39193i) q^{2} +(-1.01856 + 1.40091i) q^{3} +(-1.87496 + 0.696087i) q^{4} +(2.23305 + 0.116202i) q^{5} +(-2.20465 - 1.06748i) q^{6} +(-2.29041 + 2.29041i) q^{7} +(-1.43773 - 2.43576i) q^{8} +(-0.925085 - 2.85381i) q^{9} +O(q^{10})\) \(q+(0.250043 + 1.39193i) q^{2} +(-1.01856 + 1.40091i) q^{3} +(-1.87496 + 0.696087i) q^{4} +(2.23305 + 0.116202i) q^{5} +(-2.20465 - 1.06748i) 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} +(0.934597 - 3.33565i) q^{12} +(-1.05635 + 1.05635i) q^{13} +(-3.76080 - 2.61540i) q^{14} +(-2.43727 + 3.00993i) q^{15} +(3.03093 - 2.61026i) q^{16} +(3.04391 + 3.04391i) q^{17} +(3.74100 - 2.00123i) 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} +(4.87669 + 0.466842i) q^{24} +(4.97299 + 0.518967i) q^{25} +(-1.73449 - 1.20623i) q^{26} +(4.94017 + 1.61081i) q^{27} +(2.70010 - 5.88875i) q^{28} +2.71461i q^{29} +(-4.79905 - 2.63991i) q^{30} -6.49196 q^{31} +(4.39118 + 3.56617i) q^{32} +(-2.32616 + 3.19937i) q^{33} +(-3.47581 + 4.99803i) q^{34} +(-5.38074 + 4.84844i) q^{35} +(3.72099 + 4.70683i) 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} +(7.49452 - 2.60460i) q^{42} +(1.16384 - 1.16384i) q^{43} +(-4.28199 + 1.58971i) q^{44} +(-1.73414 - 6.48018i) q^{45} +(6.05536 + 4.21112i) q^{46} +(-1.83768 - 1.83768i) q^{47} +(0.569569 + 6.90475i) 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} +(-1.00688 + 7.27916i) q^{54} +(5.09979 + 0.265379i) q^{55} +(8.87188 + 2.28592i) q^{56} +(-3.43082 + 4.71870i) q^{57} +(-3.77856 + 0.678770i) q^{58} -7.41311i q^{59} +(2.47461 - 7.34005i) q^{60} +8.97044i q^{61} +(-1.62327 - 9.03638i) q^{62} +(8.65522 + 4.41757i) q^{63} +(-3.86589 + 7.00392i) q^{64} +(-2.48162 + 2.23612i) q^{65} +(-5.03494 - 2.43788i) 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} +(-5.62118 + 6.35628i) q^{72} +(1.83441 + 1.83441i) q^{73} +(2.64001 - 3.79620i) q^{74} +(-5.79230 + 6.43811i) q^{75} +(-6.31544 + 2.34464i) q^{76} +(-5.23080 + 5.23080i) q^{77} +(3.45650 - 1.20125i) 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} +(5.49939 + 9.78061i) q^{84} +(6.44348 + 7.15090i) q^{85} +(1.91100 + 1.32898i) q^{86} +(-3.80292 - 2.76499i) q^{87} +(-3.28345 - 5.56275i) q^{88} +11.5311 q^{89} +(8.58637 - 4.03413i) q^{90} -4.83893i q^{91} +(-4.34749 + 9.48162i) q^{92} +(6.61243 - 9.09464i) q^{93} +(2.09843 - 3.01742i) q^{94} +(7.52160 + 0.391403i) q^{95} +(-9.46854 + 2.51929i) 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
\(3\) −1.01856 + 1.40091i −0.588064 + 0.808814i
\(4\) −1.87496 + 0.696087i −0.937478 + 0.348043i
\(5\) 2.23305 + 0.116202i 0.998649 + 0.0519669i
\(6\) −2.20465 1.06748i −0.900046 0.435795i
\(7\) −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 \(-0.388119\pi\)
0.344293 + 0.938862i \(0.388119\pi\)
\(12\) 0.934597 3.33565i 0.269795 0.962918i
\(13\) −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
\(15\) −2.43727 + 3.00993i −0.629301 + 0.777162i
\(16\) 3.03093 2.61026i 0.757732 0.652566i
\(17\) 3.04391 + 3.04391i 0.738256 + 0.738256i 0.972240 0.233984i \(-0.0751764\pi\)
−0.233984 + 0.972240i \(0.575176\pi\)
\(18\) 3.74100 2.00123i 0.881762 0.471695i
\(19\) 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 −0.208956 0.977925i \(-0.567006\pi\)
0.977925 + 0.208956i \(0.0670065\pi\)
\(24\) 4.87669 + 0.466842i 0.995449 + 0.0952936i
\(25\) 4.97299 + 0.518967i 0.994599 + 0.103793i
\(26\) −1.73449 1.20623i −0.340162 0.236561i
\(27\) 4.94017 + 1.61081i 0.950737 + 0.310000i
\(28\) 2.70010 5.88875i 0.510270 1.11287i
\(29\) 2.71461i 0.504091i 0.967715 + 0.252045i \(0.0811032\pi\)
−0.967715 + 0.252045i \(0.918897\pi\)
\(30\) −4.79905 2.63991i −0.876183 0.481979i
\(31\) −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
\(33\) −2.32616 + 3.19937i −0.404932 + 0.556938i
\(34\) −3.47581 + 4.99803i −0.596096 + 0.857154i
\(35\) −5.38074 + 4.84844i −0.909512 + 0.819537i
\(36\) 3.72099 + 4.70683i 0.620165 + 0.784471i
\(37\) −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 \(-0.680330\pi\)
0.536702 0.843772i \(-0.319670\pi\)
\(42\) 7.49452 2.60460i 1.15643 0.401899i
\(43\) 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
\(45\) −1.73414 6.48018i −0.258510 0.966008i
\(46\) 6.05536 + 4.21112i 0.892814 + 0.620895i
\(47\) −1.83768 1.83768i −0.268053 0.268053i 0.560262 0.828315i \(-0.310700\pi\)
−0.828315 + 0.560262i \(0.810700\pi\)
\(48\) 0.569569 + 6.90475i 0.0822102 + 0.996615i
\(49\) 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 0.182577 0.983192i \(-0.441556\pi\)
−0.983192 + 0.182577i \(0.941556\pi\)
\(54\) −1.00688 + 7.27916i −0.137019 + 0.990568i
\(55\) 5.09979 + 0.265379i 0.687655 + 0.0357837i
\(56\) 8.87188 + 2.28592i 1.18556 + 0.305468i
\(57\) −3.43082 + 4.71870i −0.454423 + 0.625007i
\(58\) −3.77856 + 0.678770i −0.496149 + 0.0891268i
\(59\) 7.41311i 0.965104i −0.875867 0.482552i \(-0.839710\pi\)
0.875867 0.482552i \(-0.160290\pi\)
\(60\) 2.47461 7.34005i 0.319470 0.947596i
\(61\) 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
\(63\) 8.65522 + 4.41757i 1.09045 + 0.556561i
\(64\) −3.86589 + 7.00392i −0.483236 + 0.875490i
\(65\) −2.48162 + 2.23612i −0.307807 + 0.277356i
\(66\) −5.03494 2.43788i −0.619759 0.300082i
\(67\) −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 \(0.144195\pi\)
−0.899137 + 0.437667i \(0.855805\pi\)
\(72\) −5.62118 + 6.35628i −0.662463 + 0.749095i
\(73\) 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
\(75\) −5.79230 + 6.43811i −0.668837 + 0.743409i
\(76\) −6.31544 + 2.34464i −0.724431 + 0.268948i
\(77\) −5.23080 + 5.23080i −0.596104 + 0.596104i
\(78\) 3.45650 1.20125i 0.391371 0.136015i
\(79\) 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 0.934759 0.355283i \(-0.115616\pi\)
−0.355283 + 0.934759i \(0.615616\pi\)
\(84\) 5.49939 + 9.78061i 0.600032 + 1.06715i
\(85\) 6.44348 + 7.15090i 0.698894 + 0.775624i
\(86\) 1.91100 + 1.32898i 0.206068 + 0.143308i
\(87\) −3.80292 2.76499i −0.407716 0.296438i
\(88\) −3.28345 5.56275i −0.350017 0.592991i
\(89\) 11.5311 1.22230 0.611149 0.791515i \(-0.290708\pi\)
0.611149 + 0.791515i \(0.290708\pi\)
\(90\) 8.58637 4.03413i 0.905083 0.425235i
\(91\) 4.83893i 0.507258i
\(92\) −4.34749 + 9.48162i −0.453258 + 0.988527i
\(93\) 6.61243 9.09464i 0.685677 0.943070i
\(94\) 2.09843 3.01742i 0.216436 0.311224i
\(95\) 7.52160 + 0.391403i 0.771700 + 0.0401571i
\(96\) −9.46854 + 2.51929i −0.966379 + 0.257124i
\(97\) −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 \(-0.353237\pi\)
0.444907 + 0.895577i \(0.353237\pi\)
\(102\) −3.46146 9.96006i −0.342736 0.986193i
\(103\) −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
\(105\) −1.31163 12.4763i −0.128002 1.21757i
\(106\) 6.65558 9.57036i 0.646447 0.929556i
\(107\) 5.14834 5.14834i 0.497709 0.497709i −0.413015 0.910724i \(-0.635524\pi\)
0.910724 + 0.413015i \(0.135524\pi\)
\(108\) −10.3839 + 0.418595i −0.999188 + 0.0402793i
\(109\) 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 \(0.595057\pi\)
−0.955740 + 0.294212i \(0.904943\pi\)
\(114\) −7.42596 3.59559i −0.695505 0.336758i
\(115\) 8.66367 7.80660i 0.807891 0.727969i
\(116\) −1.88960 5.08978i −0.175445 0.472574i
\(117\) 3.99181 + 2.03740i 0.369043 + 0.188357i
\(118\) 10.3186 1.85360i 0.949900 0.170637i
\(119\) −13.9436 −1.27821
\(120\) 10.8356 + 1.60916i 0.989152 + 0.146895i
\(121\) −5.78435 −0.525850
\(122\) −12.4863 + 2.24300i −1.13045 + 0.203071i
\(123\) 15.1376 + 11.0061i 1.36491 + 0.992384i
\(124\) 12.1721 4.51897i 1.09309 0.405815i
\(125\) 11.0446 + 1.73675i 0.987861 + 0.155339i
\(126\) −3.98478 + 13.1521i −0.354993 + 1.17168i
\(127\) 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 \(-0.461687\pi\)
0.120073 + 0.992765i \(0.461687\pi\)
\(132\) 2.13441 7.61788i 0.185777 0.663051i
\(133\) −7.71482 + 7.71482i −0.668960 + 0.668960i
\(134\) 9.89296 14.2255i 0.854622 1.22890i
\(135\) 10.8445 + 4.17106i 0.933342 + 0.358988i
\(136\) 3.03793 11.7905i 0.260501 1.01103i
\(137\) −10.1741 10.1741i −0.869232 0.869232i 0.123155 0.992387i \(-0.460699\pi\)
−0.992387 + 0.123155i \(0.960699\pi\)
\(138\) −12.0671 + 4.19374i −1.02722 + 0.356995i
\(139\) −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
\(144\) −10.2531 6.23497i −0.854421 0.519581i
\(145\) −0.315442 + 6.06185i −0.0261961 + 0.503410i
\(146\) −2.09469 + 3.01206i −0.173358 + 0.249280i
\(147\) 4.89192 + 3.55676i 0.403478 + 0.293357i
\(148\) 5.94417 + 2.72551i 0.488608 + 0.224036i
\(149\) 7.83812i 0.642124i −0.947058 0.321062i \(-0.895960\pi\)
0.947058 0.321062i \(-0.104040\pi\)
\(150\) −10.4097 6.45269i −0.849952 0.526860i
\(151\) 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
\(153\) 5.87086 11.5026i 0.474631 0.929930i
\(154\) −8.58884 5.97299i −0.692109 0.481318i
\(155\) −14.4969 0.754376i −1.16442 0.0605930i
\(156\) 2.53634 + 4.51085i 0.203069 + 0.361157i
\(157\) −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
\(162\) −9.17187 8.82478i −0.720610 0.693340i
\(163\) −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
\(165\) −5.56619 + 6.87403i −0.433328 + 0.535142i
\(166\) −6.02835 + 8.66845i −0.467891 + 0.672802i
\(167\) 1.02989 + 1.02989i 0.0796952 + 0.0796952i 0.745831 0.666136i \(-0.232053\pi\)
−0.666136 + 0.745831i \(0.732053\pi\)
\(168\) −12.2389 + 10.1004i −0.944249 + 0.779259i
\(169\) 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 0.411099 0.911591i \(-0.365145\pi\)
−0.911591 + 0.411099i \(0.865145\pi\)
\(174\) 2.89778 5.98478i 0.219680 0.453705i
\(175\) −12.5788 + 10.2016i −0.950871 + 0.771165i
\(176\) 6.92197 5.96127i 0.521763 0.449348i
\(177\) 10.3851 + 7.55067i 0.780590 + 0.567543i
\(178\) 2.88328 + 16.0506i 0.216111 + 1.20304i
\(179\) 9.12480i 0.682019i 0.940060 + 0.341010i \(0.110769\pi\)
−0.940060 + 0.341010i \(0.889231\pi\)
\(180\) 7.76221 + 10.9430i 0.578561 + 0.815639i
\(181\) 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
\(183\) −12.5668 9.13690i −0.928962 0.675419i
\(184\) −14.2848 3.68061i −1.05309 0.271338i
\(185\) −4.89408 5.43139i −0.359820 0.399323i
\(186\) 14.3125 + 6.93001i 1.04945 + 0.508133i
\(187\) 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 \(-0.977729\pi\)
0.997553 0.0699108i \(-0.0222715\pi\)
\(192\) −5.87422 12.5496i −0.423935 0.905692i
\(193\) −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
\(195\) −0.604929 5.75413i −0.0433199 0.412062i
\(196\) 2.43071 + 6.54728i 0.173622 + 0.467663i
\(197\) −13.4343 + 13.4343i −0.957153 + 0.957153i −0.999119 0.0419662i \(-0.986638\pi\)
0.0419662 + 0.999119i \(0.486638\pi\)
\(198\) 8.54362 4.57037i 0.607169 0.324802i
\(199\) 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
\(204\) 12.9982 7.30857i 0.910058 0.511702i
\(205\) 1.25562 24.1293i 0.0876965 1.68526i
\(206\) 2.90497 4.17719i 0.202399 0.291038i
\(207\) −13.9360 7.11284i −0.968617 0.494376i
\(208\) −0.444365 + 5.95905i −0.0308111 + 0.413185i
\(209\) 7.69249 0.532101
\(210\) 17.0383 4.94533i 1.17575 0.341260i
\(211\) 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
\(213\) −10.3327 7.51256i −0.707983 0.514752i
\(214\) 8.45345 + 5.87884i 0.577866 + 0.401869i
\(215\) 2.73415 2.46367i 0.186468 0.168021i
\(216\) −3.17907 14.3490i −0.216308 0.976325i
\(217\) 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
\(222\) 2.62912 + 7.56506i 0.176455 + 0.507733i
\(223\) 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
\(225\) −3.11941 14.6721i −0.207961 0.978137i
\(226\) −21.8172 15.1725i −1.45126 1.00926i
\(227\) 10.1132 10.1132i 0.671238 0.671238i −0.286764 0.958001i \(-0.592579\pi\)
0.958001 + 0.286764i \(0.0925795\pi\)
\(228\) 3.14801 11.2355i 0.208482 0.744089i
\(229\) 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 −0.486440 0.873714i \(-0.661705\pi\)
0.873714 + 0.486440i \(0.161705\pi\)
\(234\) −1.83780 + 6.06578i −0.120140 + 0.396532i
\(235\) −3.89008 4.31716i −0.253761 0.281621i
\(236\) 5.16016 + 13.8993i 0.335898 + 0.904765i
\(237\) 11.6113 + 8.44224i 0.754237 + 0.548383i
\(238\) −3.48650 19.4086i −0.225996 1.25807i
\(239\) −24.4787 −1.58339 −0.791697 0.610914i \(-0.790802\pi\)
−0.791697 + 0.610914i \(0.790802\pi\)
\(240\) 0.469531 + 15.4848i 0.0303081 + 0.999541i
\(241\) 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
\(243\) 0.0268543 15.5884i 0.00172270 0.999999i
\(244\) −6.24420 16.8192i −0.399744 1.07674i
\(245\) 0.405772 7.79771i 0.0259238 0.498178i
\(246\) −11.5347 + 23.8225i −0.735423 + 1.51887i
\(247\) −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 \(-0.687150\pi\)
−0.554656 + 0.832080i \(0.687150\pi\)
\(252\) −19.3032 2.25797i −1.21599 0.142239i
\(253\) 8.42223 8.42223i 0.529501 0.529501i
\(254\) 11.7625 + 8.18006i 0.738044 + 0.513263i
\(255\) −16.5808 + 1.74313i −1.03833 + 0.109159i
\(256\) 2.37304 15.8230i 0.148315 0.988940i
\(257\) 1.75603 + 1.75603i 0.109538 + 0.109538i 0.759752 0.650213i \(-0.225321\pi\)
−0.650213 + 0.759752i \(0.725321\pi\)
\(258\) −3.80824 + 1.32349i −0.237091 + 0.0823972i
\(259\) 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 −0.198870 0.980026i \(-0.563727\pi\)
0.980026 + 0.198870i \(0.0637272\pi\)
\(264\) 11.1373 + 1.06616i 0.685452 + 0.0656178i
\(265\) −12.3382 13.6927i −0.757927 0.841138i
\(266\) −12.6676 8.80948i −0.776698 0.540144i
\(267\) −11.7451 + 16.1541i −0.718790 + 0.988613i
\(268\) 22.2747 + 10.2133i 1.36064 + 0.623879i
\(269\) 8.45856i 0.515728i −0.966181 0.257864i \(-0.916981\pi\)
0.966181 0.257864i \(-0.0830186\pi\)
\(270\) −3.09426 + 16.1377i −0.188311 + 0.982110i
\(271\) −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
\(273\) 6.77889 + 4.92872i 0.410277 + 0.298300i
\(274\) 11.6177 16.7056i 0.701852 1.00922i
\(275\) 11.3572 + 1.18521i 0.684867 + 0.0714707i
\(276\) −8.85470 15.7480i −0.532990 0.947918i
\(277\) −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 \(-0.783637\pi\)
0.777746 0.628579i \(-0.216363\pi\)
\(282\) 2.08977 + 6.01312i 0.124444 + 0.358076i
\(283\) −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
\(285\) −8.20950 + 10.1384i −0.486289 + 0.600547i
\(286\) −3.96120 2.75477i −0.234231 0.162893i
\(287\) 24.7492 + 24.7492i 1.46090 + 1.46090i
\(288\) 6.11495 15.8306i 0.360327 0.932826i
\(289\) 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 \(0.000535155\pi\)
0.00168124 + 0.999999i \(0.499465\pi\)
\(294\) −3.72758 + 7.69856i −0.217397 + 0.448989i
\(295\) 0.861415 16.5538i 0.0501535 0.963800i
\(296\) −2.30743 + 8.95538i −0.134117 + 0.520521i
\(297\) 11.2823 + 3.67873i 0.654664 + 0.213461i
\(298\) 10.9101 1.95987i 0.632008 0.113532i
\(299\) 7.79128i 0.450581i
\(300\) 6.37884 16.1031i 0.368282 0.929714i
\(301\) 5.33135i 0.307294i
\(302\) 1.49056 + 8.29760i 0.0857720 + 0.477473i
\(303\) −9.10846 + 12.5276i −0.523267 + 0.719694i
\(304\) 10.2091 8.79219i 0.585533 0.504267i
\(305\) −1.04238 + 20.0314i −0.0596865 + 1.14700i
\(306\) 17.4788 + 5.29569i 0.999198 + 0.302735i
\(307\) 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 \(0.0625349\pi\)
−0.980764 + 0.195198i \(0.937465\pi\)
\(312\) −5.64461 + 4.65832i −0.319563 + 0.263725i
\(313\) 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
\(315\) 18.8142 + 10.8704i 1.06006 + 0.612477i
\(316\) 5.76947 + 15.5405i 0.324558 + 0.874219i
\(317\) 12.2682 12.2682i 0.689052 0.689052i −0.272971 0.962022i \(-0.588006\pi\)
0.962022 + 0.272971i \(0.0880062\pi\)
\(318\) 6.62811 + 19.0718i 0.371686 + 1.06949i
\(319\) 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
\(324\) 9.99015 14.9732i 0.555008 0.831845i
\(325\) −5.80141 + 4.70499i −0.321804 + 0.260986i
\(326\) −16.2872 11.3267i −0.902067 0.627330i
\(327\) −1.43135 + 1.96866i −0.0791540 + 0.108867i
\(328\) −26.3198 + 15.5354i −1.45327 + 0.857800i
\(329\) 8.41808 0.464104
\(330\) −10.9600 6.02897i −0.603327 0.331884i
\(331\) 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
\(333\) −4.45915 + 8.73668i −0.244360 + 0.478767i
\(334\) −1.17602 + 1.69105i −0.0643489 + 0.0925303i
\(335\) −18.3396 20.3531i −1.00200 1.11201i
\(336\) −17.1193 14.5102i −0.933932 0.791595i
\(337\) 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
\(342\) 12.6009 6.74077i 0.681376 0.364499i
\(343\) −8.03485 8.03485i −0.433841 0.433841i
\(344\) −4.50813 1.16156i −0.243062 0.0626270i
\(345\) 2.11189 + 20.0885i 0.113700 + 1.08153i
\(346\) 7.51699 10.8090i 0.404116 0.581097i
\(347\) −2.80739 + 2.80739i −0.150709 + 0.150709i −0.778435 0.627726i \(-0.783986\pi\)
0.627726 + 0.778435i \(0.283986\pi\)
\(348\) 9.05498 + 2.53707i 0.485398 + 0.136001i
\(349\) −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 −0.651832 0.758363i \(-0.725999\pi\)
0.758363 + 0.651832i \(0.225999\pi\)
\(354\) −7.91331 + 16.3433i −0.420588 + 0.868638i
\(355\) −0.857068 + 16.4703i −0.0454884 + 0.874151i
\(356\) −21.6204 + 8.02667i −1.14588 + 0.425413i
\(357\) 14.2023 19.5337i 0.751668 1.03383i
\(358\) −12.7011 + 2.28159i −0.671274 + 0.120586i
\(359\) 12.9584 0.683920 0.341960 0.939714i \(-0.388909\pi\)
0.341960 + 0.939714i \(0.388909\pi\)
\(360\) −13.2910 + 13.5407i −0.700496 + 0.713657i
\(361\) −7.65447 −0.402867
\(362\) 4.09400 0.735434i 0.215176 0.0386536i
\(363\) 5.89168 8.10334i 0.309233 0.425315i
\(364\) 3.36831 + 9.07278i 0.176548 + 0.475543i
\(365\) 3.88316 + 4.30948i 0.203254 + 0.225569i
\(366\) 9.57573 19.7767i 0.500531 1.03375i
\(367\) 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
\(372\) −6.06737 + 21.6549i −0.314578 + 1.12275i
\(373\) 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
\(375\) −13.6826 + 13.7035i −0.706566 + 0.707647i
\(376\) −1.83407 + 7.11823i −0.0945850 + 0.367095i
\(377\) −2.86757 2.86757i −0.147687 0.147687i
\(378\) −14.3661 18.9784i −0.738913 0.976145i
\(379\) −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 −0.363793 0.931480i \(-0.618518\pi\)
0.931480 + 0.363793i \(0.118518\pi\)
\(384\) 15.9995 11.3145i 0.816469 0.577389i
\(385\) −12.2884 + 11.0728i −0.626277 + 0.564321i
\(386\) 6.93445 9.97137i 0.352954 0.507529i
\(387\) −4.39803 2.24473i −0.223565 0.114106i
\(388\) 3.29668 7.18986i 0.167364 0.365010i
\(389\) 14.2176i 0.720861i 0.932786 + 0.360431i \(0.117370\pi\)
−0.932786 + 0.360431i \(0.882630\pi\)
\(390\) 7.85811 2.28080i 0.397911 0.115493i
\(391\) 22.4509 1.13539
\(392\) −8.50559 + 5.02048i −0.429597 + 0.253573i
\(393\) −2.79959 + 3.85052i −0.141221 + 0.194233i
\(394\) −22.0588 15.3405i −1.11130 0.772842i
\(395\) 0.963130 18.5085i 0.0484603 0.931262i
\(396\) 8.49793 + 10.7494i 0.427037 + 0.540176i
\(397\) 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 \(-0.821321\pi\)
0.846545 0.532317i \(-0.178679\pi\)
\(402\) 9.85213 + 28.3486i 0.491380 + 1.41390i
\(403\) 6.85775 6.85775i 0.341609 0.341609i
\(404\) −16.7668 + 6.22476i −0.834181 + 0.309694i
\(405\) −16.8890 + 10.9436i −0.839219 + 0.543793i
\(406\) 7.09979 10.2091i 0.352357 0.506670i
\(407\) −5.28003 5.28003i −0.261721 0.261721i
\(408\) 13.4232 + 16.2652i 0.664545 + 0.805248i
\(409\) 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
\(414\) 6.41600 21.1765i 0.315329 1.04077i
\(415\) 11.1754 + 12.4023i 0.548579 + 0.608806i
\(416\) −8.40571 + 0.871492i −0.412124 + 0.0427284i
\(417\) 0.872972 1.20067i 0.0427496 0.0587972i
\(418\) 1.92345 + 10.7074i 0.0940792 + 0.523718i
\(419\) 31.7713i 1.55213i 0.630653 + 0.776065i \(0.282787\pi\)
−0.630653 + 0.776065i \(0.717213\pi\)
\(420\) 11.1439 + 22.4796i 0.543765 + 1.09689i
\(421\) 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
\(423\) −3.54437 + 6.94439i −0.172333 + 0.337648i
\(424\) −5.81712 + 22.5769i −0.282504 + 1.09643i
\(425\) 13.5577 + 16.7170i 0.657643 + 0.810895i
\(426\) 7.87338 16.2608i 0.381466 0.787841i
\(427\) −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 \(0.0455743\pi\)
−0.989768 + 0.142687i \(0.954426\pi\)
\(432\) 19.1779 8.01292i 0.922699 0.385522i
\(433\) −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
\(435\) −8.17080 6.61625i −0.391760 0.317225i
\(436\) −2.63483 + 0.978194i −0.126186 + 0.0468470i
\(437\) 12.4218 12.4218i 0.594217 0.594217i
\(438\) −2.08605 6.00242i −0.0996753 0.286807i
\(439\) 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 \(-0.840248\pi\)
−0.481070 0.876682i \(-0.659752\pi\)
\(444\) −9.87266 + 5.55115i −0.468536 + 0.263446i
\(445\) 25.7496 + 1.33994i 1.22065 + 0.0635191i
\(446\) −5.05781 + 7.27286i −0.239494 + 0.344380i
\(447\) 10.9805 + 7.98357i 0.519359 + 0.377610i
\(448\) −7.18739 24.8963i −0.339572 1.17624i
\(449\) 2.81035 0.132628 0.0663142 0.997799i \(-0.478876\pi\)
0.0663142 + 0.997799i \(0.478876\pi\)
\(450\) 19.6425 8.01065i 0.925958 0.377626i
\(451\) 24.6775i 1.16202i
\(452\) 15.6639 34.1619i 0.736766 1.60684i
\(453\) −6.07182 + 8.35110i −0.285279 + 0.392369i
\(454\) 16.6057 + 11.5482i 0.779342 + 0.541983i
\(455\) 0.562291 10.8056i 0.0263606 0.506572i
\(456\) 16.4262 + 1.57247i 0.769227 + 0.0736376i
\(457\) −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 \(-0.722291\pi\)
−0.642954 + 0.765905i \(0.722291\pi\)
\(462\) 17.1158 5.94834i 0.796301 0.276742i
\(463\) 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
\(465\) 15.8227 19.5404i 0.733759 0.906163i
\(466\) 9.70650 + 6.75026i 0.449645 + 0.312700i
\(467\) −13.7467 + 13.7467i −0.636119 + 0.636119i −0.949596 0.313477i \(-0.898506\pi\)
0.313477 + 0.949596i \(0.398506\pi\)
\(468\) −8.90269 1.04138i −0.411527 0.0481380i
\(469\) 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
\(474\) −8.84770 + 18.2731i −0.406389 + 0.839313i
\(475\) 16.7506 + 1.74804i 0.768570 + 0.0802058i
\(476\) 26.1437 9.70595i 1.19829 0.444872i
\(477\) −11.2417 + 22.0255i −0.514721 + 1.00848i
\(478\) −6.12072 34.0727i −0.279955 1.55845i
\(479\) 37.7789 1.72616 0.863081 0.505066i \(-0.168532\pi\)
0.863081 + 0.505066i \(0.168532\pi\)
\(480\) −21.4364 + 4.52543i −0.978435 + 0.206557i
\(481\) 4.88447 0.222713
\(482\) 1.80042 + 10.0225i 0.0820069 + 0.456514i
\(483\) −23.6661 17.2069i −1.07684 0.782939i
\(484\) 10.8454 4.02641i 0.492973 0.183018i
\(485\) −6.56961 + 5.91970i −0.298311 + 0.268800i
\(486\) 21.7048 3.86040i 0.984549 0.175111i
\(487\) −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 \(-0.454461\pi\)
0.142577 + 0.989784i \(0.454461\pi\)
\(492\) −36.0435 10.0988i −1.62497 0.455291i
\(493\) −8.26303 + 8.26303i −0.372148 + 0.372148i
\(494\) −5.84232 4.06296i −0.262858 0.182801i
\(495\) −3.96040 14.7993i −0.178007 0.665180i
\(496\) −19.6767 + 16.9457i −0.883508 + 0.760886i
\(497\) −16.8934 16.8934i −0.757771 0.757771i
\(498\) −6.00347 17.2745i −0.269022 0.774087i
\(499\) −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 \(0.527147\pi\)
−0.996365 + 0.0851818i \(0.972853\pi\)
\(504\) −1.68368 27.4333i −0.0749970 1.22198i
\(505\) 19.9690 + 1.03913i 0.888611 + 0.0462409i
\(506\) 13.8291 + 9.61727i 0.614779 + 0.427540i
\(507\) −15.0854 10.9681i −0.669964 0.487110i
\(508\) −8.44498 + 18.4180i −0.374685 + 0.817165i
\(509\) 36.5584i 1.62042i −0.586138 0.810211i \(-0.699352\pi\)
0.586138 0.810211i \(-0.300648\pi\)
\(510\) −6.57224 22.6435i −0.291023 1.00267i
\(511\) −8.40310 −0.371731
\(512\) 22.6180 0.653333i 0.999583 0.0288735i
\(513\) 16.6400 + 5.42570i 0.734676 + 0.239551i
\(514\) −2.00519 + 2.88336i −0.0884453 + 0.127180i
\(515\) −5.38525 5.97648i −0.237303 0.263355i
\(516\) −2.79444 4.96989i −0.123018 0.218787i
\(517\) −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 \(0.219212\pi\)
−0.772089 + 0.635515i \(0.780788\pi\)
\(522\) 5.43256 + 10.1554i 0.237777 + 0.444488i
\(523\) −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
\(525\) −1.47916 28.0127i −0.0645560 1.22257i
\(526\) 20.8009 + 14.4657i 0.906963 + 0.630735i
\(527\) −19.7609 19.7609i −0.860800 0.860800i
\(528\) 1.30077 + 15.7689i 0.0566088 + 0.686255i
\(529\) 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
\(534\) −25.4222 12.3092i −1.10012 0.532672i
\(535\) 12.0947 10.8982i 0.522901 0.471172i
\(536\) −8.64667 + 33.5586i −0.373479 + 1.44951i
\(537\) −12.7830 9.29412i −0.551627 0.401071i
\(538\) 11.7738 2.11501i 0.507603 0.0911844i
\(539\) 7.97487i 0.343502i
\(540\) −23.2363 0.271881i −0.999932 0.0116999i
\(541\) 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
\(543\) 4.12039 + 2.99581i 0.176823 + 0.128563i
\(544\) 2.51125 + 24.2214i 0.107669 + 1.03849i
\(545\) 3.13805 + 0.163295i 0.134419 + 0.00699481i
\(546\) −5.16544 + 10.6682i −0.221060 + 0.456555i
\(547\) 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
\(552\) 19.7061 16.2628i 0.838748 0.692192i
\(553\) 18.9839 + 18.9839i 0.807279 + 0.807279i
\(554\) 21.0668 30.2929i 0.895041 1.28702i
\(555\) 12.5938 1.32398i 0.534576 0.0561997i
\(556\) 1.60697 0.596593i 0.0681505 0.0253012i
\(557\) −9.36550 + 9.36550i −0.396829 + 0.396829i −0.877113 0.480284i \(-0.840534\pi\)
0.480284 + 0.877113i \(0.340534\pi\)
\(558\) −24.2864 + 12.9919i −1.02813 + 0.549992i
\(559\) 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 0.640288 0.768135i \(-0.278815\pi\)
−0.768135 + 0.640288i \(0.778815\pi\)
\(564\) −7.84733 + 4.41235i −0.330432 + 0.185794i
\(565\) −31.2149 + 28.1269i −1.31322 + 1.18331i
\(566\) −4.32572 3.00826i −0.181823 0.126447i
\(567\) 4.60008 28.7869i 0.193185 1.20894i
\(568\) 17.9654 10.6042i 0.753813 0.444944i
\(569\) −23.6605 −0.991898 −0.495949 0.868352i \(-0.665180\pi\)
−0.495949 + 0.868352i \(0.665180\pi\)
\(570\) −16.1647 8.89203i −0.677065 0.372446i
\(571\) 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
\(573\) 2.70707 + 1.96823i 0.113090 + 0.0822240i
\(574\) −28.2608 + 40.6375i −1.17958 + 1.69618i
\(575\) 20.2535 16.4258i 0.844630 0.685002i
\(576\) 23.5641 + 4.55328i 0.981838 + 0.189720i
\(577\) −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
\(582\) 9.15043 3.18009i 0.379297 0.131819i
\(583\) −13.3112 13.3112i −0.551292 0.551292i
\(584\) 1.83081 7.10557i 0.0757594 0.294030i
\(585\) 8.67716 + 5.01346i 0.358756 + 0.207281i
\(586\) −19.5788 + 28.1533i −0.808795 + 1.16300i
\(587\) 7.53359 7.53359i 0.310944 0.310944i −0.534331 0.845275i \(-0.679436\pi\)
0.845275 + 0.534331i \(0.179436\pi\)
\(588\) −11.6479 3.26358i −0.480353 0.134588i
\(589\) −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 −0.233084 0.972457i \(-0.574882\pi\)
0.972457 + 0.233084i \(0.0748816\pi\)
\(594\) −2.29949 + 16.6240i −0.0943493 + 0.682091i
\(595\) −31.1367 1.62027i −1.27648 0.0664246i
\(596\) 5.45601 + 14.6961i 0.223487 + 0.601977i
\(597\) −25.9000 18.8311i −1.06002 0.770705i
\(598\) −10.8449 + 1.94816i −0.443483 + 0.0796660i
\(599\) −19.8681 −0.811789 −0.405895 0.913920i \(-0.633040\pi\)
−0.405895 + 0.913920i \(0.633040\pi\)
\(600\) 24.0095 + 4.85244i 0.980182 + 0.198100i
\(601\) −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
\(603\) −16.7098 + 32.7391i −0.680476 + 1.33324i
\(604\) −11.1770 + 4.14951i −0.454786 + 0.168841i
\(605\) −12.9167 0.672150i −0.525139 0.0273268i
\(606\) −19.7151 9.54591i −0.800873 0.387776i
\(607\) −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
\(612\) −3.00080 + 25.6535i −0.121300 + 1.03698i
\(613\) −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
\(615\) 32.5240 + 26.3361i 1.31149 + 1.06197i
\(616\) 20.2614 + 5.22053i 0.816356 + 0.210341i
\(617\) 3.33572 + 3.33572i 0.134291 + 0.134291i 0.771057 0.636766i \(-0.219728\pi\)
−0.636766 + 0.771057i \(0.719728\pi\)
\(618\) 2.89298 + 8.32429i 0.116373 + 0.334852i
\(619\) 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
\(624\) −7.89546 6.69214i −0.316071 0.267900i
\(625\) 24.4613 + 5.16164i 0.978454 + 0.206466i
\(626\) −2.51266 + 3.61307i −0.100426 + 0.144407i
\(627\) −7.83524 + 10.7765i −0.312909 + 0.430371i
\(628\) 4.12538 + 1.89156i 0.164620 + 0.0754815i
\(629\) 14.0748i 0.561201i
\(630\) −10.4265 + 28.9061i −0.415402 + 1.15165i
\(631\) −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
\(633\) −23.0733 16.7759i −0.917082 0.666782i
\(634\) 20.1441 + 14.0090i 0.800025 + 0.556367i
\(635\) 16.8291 15.1643i 0.667843 0.601776i
\(636\) −24.8894 + 13.9947i −0.986928 + 0.554924i
\(637\) 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 \(-0.916168\pi\)
0.965519 0.260331i \(-0.0838318\pi\)
\(642\) −16.8460 + 5.85458i −0.664860 + 0.231062i
\(643\) 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
\(645\) 0.666488 + 6.33969i 0.0262429 + 0.249625i
\(646\) −11.7076 + 16.8349i −0.460630 + 0.662361i
\(647\) 19.2111 + 19.2111i 0.755268 + 0.755268i 0.975457 0.220189i \(-0.0706675\pi\)
−0.220189 + 0.975457i \(0.570668\pi\)
\(648\) 23.3397 + 10.1617i 0.916869 + 0.399188i
\(649\) 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 0.819608 0.572925i \(-0.194191\pi\)
−0.572925 + 0.819608i \(0.694191\pi\)
\(654\) −3.09815 1.50010i −0.121147 0.0586585i
\(655\) 6.13772 + 0.319390i 0.239821 + 0.0124796i
\(656\) −28.2054 32.7508i −1.10123 1.27871i
\(657\) 3.53807 6.93204i 0.138033 0.270444i
\(658\) 2.10488 + 11.7174i 0.0820568 + 0.456792i
\(659\) 33.0388i 1.28701i 0.765442 + 0.643505i \(0.222520\pi\)
−0.765442 + 0.643505i \(0.777480\pi\)
\(660\) 5.65146 16.7631i 0.219983 0.652501i
\(661\) 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
\(663\) 6.55017 9.00901i 0.254388 0.349881i
\(664\) 5.26891 20.4492i 0.204474 0.793584i
\(665\) −18.1240 + 16.3311i −0.702820 + 0.633292i
\(666\) −13.2759 4.02229i −0.514429 0.155860i
\(667\) 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
\(672\) 15.9166 27.4570i 0.613998 1.05918i
\(673\) 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
\(675\) 23.7315 + 10.5743i 0.913426 + 0.407006i
\(676\) −7.49565 20.1900i −0.288294 0.776540i
\(677\) 16.5034 16.5034i 0.634278 0.634278i −0.314860 0.949138i \(-0.601958\pi\)
0.949138 + 0.314860i \(0.101958\pi\)
\(678\) 43.4773 15.1099i 1.66974 0.580291i
\(679\) 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 0.686443 0.727184i \(-0.259171\pi\)
−0.727184 + 0.686443i \(0.759171\pi\)
\(684\) 12.5335 + 15.8541i 0.479229 + 0.606195i
\(685\) −21.5370 23.9015i −0.822887 0.913229i
\(686\) 9.17492 13.1930i 0.350300 0.503712i
\(687\) −15.0052 + 20.6379i −0.572482 + 0.787384i
\(688\) 0.489584 6.56545i 0.0186652 0.250306i
\(689\) 12.3139 0.469124
\(690\) −27.4337 + 7.96259i −1.04438 + 0.303131i
\(691\) 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
\(693\) 19.7666 + 10.0888i 0.750872 + 0.383240i
\(694\) −4.60967 3.20573i −0.174981 0.121688i
\(695\) −1.91387 0.0995927i −0.0725973 0.00377776i
\(696\) −1.26729 + 13.2383i −0.0480366 + 0.501797i
\(697\) 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 \(-0.222516\pi\)
0.765451 + 0.643495i \(0.222516\pi\)
\(702\) −6.62570 8.75292i −0.250071 0.330358i
\(703\) −7.78743 7.78743i −0.293709 0.293709i
\(704\) −8.82884 + 15.9954i −0.332749 + 0.602850i
\(705\) 10.0102 1.05237i 0.377006 0.0396345i
\(706\) 3.28646 + 2.28553i 0.123688 + 0.0860169i
\(707\) −20.4820 + 20.4820i −0.770306 + 0.770306i
\(708\) −24.7275 6.92827i −0.929316 0.260380i
\(709\) 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
\(714\) 30.7408 + 14.8845i 1.15045 + 0.557037i
\(715\) −5.66747 + 5.10681i −0.211951 + 0.190984i
\(716\) −6.35165 17.1086i −0.237372 0.639378i
\(717\) 24.9329 34.2924i 0.931137 1.28067i
\(718\) 3.24017 + 18.0373i 0.120922 + 0.673146i
\(719\) −36.9961 −1.37972 −0.689861 0.723942i \(-0.742328\pi\)
−0.689861 + 0.723942i \(0.742328\pi\)
\(720\) −22.1710 15.1144i −0.826266 0.563280i
\(721\) 11.6536 0.434003
\(722\) −1.91395 10.6545i −0.0712297 0.396520i
\(723\) −7.33405 + 10.0872i −0.272756 + 0.375145i
\(724\) 2.04735 + 5.51468i 0.0760892 + 0.204952i
\(725\) −1.40879 + 13.4997i −0.0523213 + 0.501368i
\(726\) 12.7525 + 6.17465i 0.473289 + 0.229163i
\(727\) −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
\(732\) 29.9222 + 8.38375i 1.10596 + 0.309872i
\(733\) 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
\(735\) 10.5106 + 8.51086i 0.387688 + 0.313928i
\(736\) 29.3455 3.04250i 1.08169 0.112148i
\(737\) −19.7859 19.7859i −0.728824 0.728824i
\(738\) −21.6244 40.4236i −0.796005 1.48801i
\(739\) −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 −0.564387 0.825510i \(-0.690887\pi\)
0.825510 + 0.564387i \(0.190887\pi\)
\(744\) −31.6593 3.03072i −1.16068 0.111111i
\(745\) 0.910802 17.5029i 0.0333692 0.641256i
\(746\) 16.7095 + 11.6204i 0.611777 + 0.425452i
\(747\) 10.1823 19.9498i 0.372549 0.729925i
\(748\) −17.8729 8.19506i −0.653499 0.299641i
\(749\) 23.5836i 0.861727i
\(750\) −22.4956 15.6188i −0.821424 0.570318i
\(751\) −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
\(753\) 17.9009 24.6207i 0.652346 0.897227i
\(754\) 3.27445 4.70848i 0.119248 0.171473i
\(755\) 13.3116 + 0.692702i 0.484460 + 0.0252100i
\(756\) 22.8246 24.7421i 0.830122 0.899861i
\(757\) 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 \(0.267845\pi\)
−0.666376 + 0.745616i \(0.732155\pi\)
\(762\) −23.4403 + 8.14630i −0.849152 + 0.295109i
\(763\) −3.21866 + 3.21866i −0.116523 + 0.116523i
\(764\) 1.34510 + 3.62311i 0.0486639 + 0.131080i
\(765\) 14.4465 25.0036i 0.522315 0.904009i
\(766\) 18.2421 + 12.6862i 0.659115 + 0.458372i
\(767\) 7.83080 + 7.83080i 0.282754 + 0.282754i
\(768\) 19.7496 + 19.4411i 0.712651 + 0.701519i
\(769\) 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 \(-0.912133\pi\)
−0.272551 0.962141i