Properties

Label 120.2.w.c.53.15
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 53.15
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.39193 + 0.250043i) q^{2} +(1.01856 - 1.40091i) q^{3} +(1.87496 + 0.696087i) q^{4} +(-2.23305 - 0.116202i) q^{5} +(1.76805 - 1.69529i) q^{6} +(-2.29041 + 2.29041i) q^{7} +(2.43576 + 1.43773i) q^{8} +(-0.925085 - 2.85381i) q^{9} +O(q^{10})\) \(q+(1.39193 + 0.250043i) q^{2} +(1.01856 - 1.40091i) 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} +(2.43576 + 1.43773i) q^{8} +(-0.925085 - 2.85381i) q^{9} +(-3.07920 - 0.720103i) q^{10} -2.28378 q^{11} +(2.88490 - 1.91764i) 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} +(-0.574081 - 4.20362i) q^{18} -3.36831 q^{19} +(-4.10598 - 1.77227i) q^{20} +(0.875741 + 5.54157i) q^{21} +(-3.17887 - 0.571043i) 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} +(-4.94017 - 1.61081i) q^{27} +(-5.88875 + 2.70010i) q^{28} -2.71461i q^{29} +(-4.14513 + 3.58020i) q^{30} -6.49196 q^{31} +(3.56617 + 4.39118i) q^{32} +(-2.32616 + 3.19937i) 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} +(-4.68847 - 0.842223i) q^{38} +(-0.403895 - 2.55579i) q^{39} +(-5.27211 - 3.49355i) q^{40} -10.8056i q^{41} +(-0.166657 + 7.93246i) 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} +(6.74391 - 1.58735i) q^{48} -3.49196i q^{49} +(6.79231 + 1.96583i) q^{50} +(7.36463 - 1.16384i) q^{51} +(2.71591 - 1.24529i) 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} +(-3.43082 + 4.71870i) q^{57} +(0.678770 - 3.77856i) q^{58} +7.41311i q^{59} +(-6.66496 + 3.94694i) q^{60} -8.97044i q^{61} +(-9.03638 - 1.62327i) q^{62} +(8.65522 + 4.41757i) 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} +(3.58837 + 7.82602i) q^{68} +(-1.41005 - 8.92262i) q^{69} +(8.70196 - 5.40329i) q^{70} +7.37570i q^{71} +(1.84971 - 8.28122i) 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} +(0.0768630 - 3.65848i) q^{78} -8.28844i q^{79} +(-6.46488 - 6.18104i) q^{80} +(-7.28844 + 5.28003i) q^{81} +(2.70185 - 15.0406i) 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} +(-3.80292 - 2.76499i) q^{87} +(-5.56275 - 3.28345i) q^{88} +11.5311 q^{89} +(0.793483 + 9.45359i) q^{90} +4.83893i q^{91} +(9.48162 - 4.34749i) q^{92} +(-6.61243 + 9.09464i) 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} +(0.873141 - 4.86058i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.39193 + 0.250043i 0.984246 + 0.176807i
\(3\) 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
\(6\) 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 \(0.459690\pi\)
\(8\) 2.43576 + 1.43773i 0.861172 + 0.508313i
\(9\) −0.925085 2.85381i −0.308362 0.951269i
\(10\) −3.07920 0.720103i −0.973727 0.227716i
\(11\) −2.28378 −0.688586 −0.344293 0.938862i \(-0.611881\pi\)
−0.344293 + 0.938862i \(0.611881\pi\)
\(12\) 2.88490 1.91764i 0.832800 0.553574i
\(13\) 1.05635 1.05635i 0.292977 0.292977i −0.545278 0.838255i \(-0.683576\pi\)
0.838255 + 0.545278i \(0.183576\pi\)
\(14\) −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 \(0.575176\pi\)
\(18\) −0.574081 4.20362i −0.135312 0.990803i
\(19\) −3.36831 −0.772744 −0.386372 0.922343i \(-0.626272\pi\)
−0.386372 + 0.922343i \(0.626272\pi\)
\(20\) −4.10598 1.77227i −0.918125 0.396291i
\(21\) 0.875741 + 5.54157i 0.191102 + 1.20927i
\(22\) −3.17887 0.571043i −0.677737 0.121747i
\(23\) 3.68785 3.68785i 0.768969 0.768969i −0.208956 0.977925i \(-0.567006\pi\)
0.977925 + 0.208956i \(0.0670065\pi\)
\(24\) 4.49508 1.94787i 0.917555 0.397608i
\(25\) 4.97299 + 0.518967i 0.994599 + 0.103793i
\(26\) 1.73449 1.20623i 0.340162 0.236561i
\(27\) −4.94017 1.61081i −0.950737 0.310000i
\(28\) −5.88875 + 2.70010i −1.11287 + 0.510270i
\(29\) 2.71461i 0.504091i −0.967715 0.252045i \(-0.918897\pi\)
0.967715 0.252045i \(-0.0811032\pi\)
\(30\) −4.14513 + 3.58020i −0.756794 + 0.653653i
\(31\) −6.49196 −1.16599 −0.582995 0.812475i \(-0.698119\pi\)
−0.582995 + 0.812475i \(0.698119\pi\)
\(32\) 3.56617 + 4.39118i 0.630416 + 0.776258i
\(33\) −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
\(36\) 0.252003 5.99471i 0.0420005 0.999118i
\(37\) 2.31197 + 2.31197i 0.380085 + 0.380085i 0.871133 0.491048i \(-0.163386\pi\)
−0.491048 + 0.871133i \(0.663386\pi\)
\(38\) −4.68847 0.842223i −0.760570 0.136627i
\(39\) −0.403895 2.55579i −0.0646749 0.409254i
\(40\) −5.27211 3.49355i −0.833593 0.552379i
\(41\) 10.8056i 1.68754i −0.536702 0.843772i \(-0.680330\pi\)
0.536702 0.843772i \(-0.319670\pi\)
\(42\) −0.166657 + 7.93246i −0.0257158 + 1.22401i
\(43\) −1.16384 + 1.16384i −0.177484 + 0.177484i −0.790258 0.612774i \(-0.790054\pi\)
0.612774 + 0.790258i \(0.290054\pi\)
\(44\) −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 \(0.810700\pi\)
\(48\) 6.74391 1.58735i 0.973400 0.229114i
\(49\) 3.49196i 0.498852i
\(50\) 6.79231 + 1.96583i 0.960578 + 0.278010i
\(51\) 7.36463 1.16384i 1.03125 0.162970i
\(52\) 2.71591 1.24529i 0.376629 0.172691i
\(53\) 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
\(57\) −3.43082 + 4.71870i −0.454423 + 0.625007i
\(58\) 0.678770 3.77856i 0.0891268 0.496149i
\(59\) 7.41311i 0.965104i 0.875867 + 0.482552i \(0.160290\pi\)
−0.875867 + 0.482552i \(0.839710\pi\)
\(60\) −6.66496 + 3.94694i −0.860442 + 0.509548i
\(61\) 8.97044i 1.14855i −0.818663 0.574274i \(-0.805284\pi\)
0.818663 0.574274i \(-0.194716\pi\)
\(62\) −9.03638 1.62327i −1.14762 0.206155i
\(63\) 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
\(66\) −4.03784 + 3.87166i −0.497024 + 0.476569i
\(67\) 8.66367 + 8.66367i 1.05844 + 1.05844i 0.998183 + 0.0602525i \(0.0191906\pi\)
0.0602525 + 0.998183i \(0.480809\pi\)
\(68\) 3.58837 + 7.82602i 0.435154 + 0.949044i
\(69\) −1.41005 8.92262i −0.169750 1.07416i
\(70\) 8.70196 5.40329i 1.04008 0.645817i
\(71\) 7.37570i 0.875334i 0.899137 + 0.437667i \(0.144195\pi\)
−0.899137 + 0.437667i \(0.855805\pi\)
\(72\) 1.84971 8.28122i 0.217990 0.975951i
\(73\) 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
\(78\) 0.0768630 3.65848i 0.00870302 0.414241i
\(79\) 8.28844i 0.932522i −0.884647 0.466261i \(-0.845601\pi\)
0.884647 0.466261i \(-0.154399\pi\)
\(80\) −6.46488 6.18104i −0.722796 0.691061i
\(81\) −7.28844 + 5.28003i −0.809826 + 0.586670i
\(82\) 2.70185 15.0406i 0.298370 1.66096i
\(83\) −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
\(87\) −3.80292 2.76499i −0.407716 0.296438i
\(88\) −5.56275 3.28345i −0.592991 0.350017i
\(89\) 11.5311 1.22230 0.611149 0.791515i \(-0.290708\pi\)
0.611149 + 0.791515i \(0.290708\pi\)
\(90\) 0.793483 + 9.45359i 0.0836405 + 0.996496i
\(91\) 4.83893i 0.507258i
\(92\) 9.48162 4.34749i 0.988527 0.453258i
\(93\) −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
\(96\) 9.78398 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 \(0.314346\pi\)
\(98\) 0.873141 4.86058i 0.0882005 0.490993i
\(99\) 2.11269 + 6.51747i 0.212333 + 0.655030i
\(100\) 8.96290 + 4.43468i 0.896290 + 0.443468i
\(101\) −8.94251 −0.889813 −0.444907 0.895577i \(-0.646763\pi\)
−0.444907 + 0.895577i \(0.646763\pi\)
\(102\) 10.5421 + 0.221484i 1.04382 + 0.0219302i
\(103\) −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 −0.910724 0.413015i \(-0.864476\pi\)
0.413015 + 0.910724i \(0.364476\pi\)
\(108\) −8.14135 6.45898i −0.783402 0.621516i
\(109\) −1.40528 −0.134601 −0.0673005 0.997733i \(-0.521439\pi\)
−0.0673005 + 0.997733i \(0.521439\pi\)
\(110\) 7.03221 + 1.64456i 0.670495 + 0.156802i
\(111\) 5.59372 0.883983i 0.530933 0.0839040i
\(112\) −12.9206 + 0.963489i −1.22089 + 0.0910412i
\(113\) −13.2872 + 13.2872i −1.24995 + 1.24995i −0.294212 + 0.955740i \(0.595057\pi\)
−0.955740 + 0.294212i \(0.904943\pi\)
\(114\) −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
\(117\) −3.99181 2.03740i −0.369043 0.188357i
\(118\) −1.85360 + 10.3186i −0.170637 + 0.949900i
\(119\) −13.9436 −1.27821
\(120\) −10.2641 + 3.82736i −0.936978 + 0.349388i
\(121\) −5.78435 −0.525850
\(122\) 2.24300 12.4863i 0.203071 1.13045i
\(123\) −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
\(126\) 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 \(0.101607\pi\)
\(128\) 3.62978 + 10.7156i 0.320830 + 0.947137i
\(129\) 0.444996 + 2.81587i 0.0391797 + 0.247924i
\(130\) −4.01337 + 2.49202i −0.351996 + 0.218564i
\(131\) −2.74859 −0.240145 −0.120073 0.992765i \(-0.538313\pi\)
−0.120073 + 0.992765i \(0.538313\pi\)
\(132\) −6.58849 + 4.37946i −0.573454 + 0.381183i
\(133\) 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 \(0.960699\pi\)
\(138\) 0.268339 12.7723i 0.0228426 1.08725i
\(139\) 0.857068 0.0726955 0.0363478 0.999339i \(-0.488428\pi\)
0.0363478 + 0.999339i \(0.488428\pi\)
\(140\) 13.4636 5.34516i 1.13788 0.451749i
\(141\) −4.44620 + 0.702638i −0.374437 + 0.0591728i
\(142\) −1.84424 + 10.2665i −0.154765 + 0.861544i
\(143\) −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
\(147\) −4.89192 3.55676i −0.403478 0.293357i
\(148\) 2.72551 + 5.94417i 0.224036 + 0.488608i
\(149\) 7.83812i 0.642124i 0.947058 + 0.321062i \(0.104040\pi\)
−0.947058 + 0.321062i \(0.895960\pi\)
\(150\) 9.67230 7.51309i 0.789740 0.613441i
\(151\) 5.96120 0.485116 0.242558 0.970137i \(-0.422014\pi\)
0.242558 + 0.970137i \(0.422014\pi\)
\(152\) −8.20441 4.84271i −0.665466 0.392796i
\(153\) 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
\(156\) 1.02177 5.07314i 0.0818067 0.406176i
\(157\) 1.60455 + 1.60455i 0.128057 + 0.128057i 0.768231 0.640173i \(-0.221137\pi\)
−0.640173 + 0.768231i \(0.721137\pi\)
\(158\) 2.07247 11.5370i 0.164877 0.917831i
\(159\) 14.1020 2.22856i 1.11836 0.176736i
\(160\) −7.45316 10.2201i −0.589224 0.807970i
\(161\) 16.8934i 1.33138i
\(162\) −11.4653 + 5.52702i −0.900795 + 0.434244i
\(163\) 9.91929 9.91929i 0.776939 0.776939i −0.202370 0.979309i \(-0.564864\pi\)
0.979309 + 0.202370i \(0.0648644\pi\)
\(164\) 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 \(0.732053\pi\)
\(168\) −5.83416 + 14.7570i −0.450115 + 1.13853i
\(169\) 10.7683i 0.828328i
\(170\) −7.18087 11.5647i −0.550747 0.886974i
\(171\) 3.11598 + 9.61252i 0.238285 + 0.735088i
\(172\) −2.99229 + 1.37202i −0.228160 + 0.104615i
\(173\) 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
\(177\) 10.3851 + 7.55067i 0.780590 + 0.567543i
\(178\) 16.0506 + 2.88328i 1.20304 + 0.216111i
\(179\) 9.12480i 0.682019i −0.940060 0.341010i \(-0.889231\pi\)
0.940060 0.341010i \(-0.110769\pi\)
\(180\) −1.25933 + 13.3572i −0.0938649 + 0.995585i
\(181\) 2.94123i 0.218620i 0.994008 + 0.109310i \(0.0348641\pi\)
−0.994008 + 0.109310i \(0.965136\pi\)
\(182\) −1.20994 + 6.73547i −0.0896868 + 0.499266i
\(183\) −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
\(186\) −11.4781 + 11.0057i −0.841616 + 0.806980i
\(187\) −6.95162 6.95162i −0.508353 0.508353i
\(188\) −2.16638 4.72475i −0.158000 0.344588i
\(189\) 15.0044 7.62561i 1.09141 0.554682i
\(190\) 10.3717 + 2.42553i 0.752442 + 0.175967i
\(191\) 1.93237i 0.139822i −0.997553 0.0699108i \(-0.977729\pi\)
0.997553 0.0699108i \(-0.0222715\pi\)
\(192\) 13.7495 + 1.71814i 0.992283 + 0.123996i
\(193\) −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 −0.0419662 0.999119i \(-0.513362\pi\)
0.999119 + 0.0419662i \(0.0133622\pi\)
\(198\) 1.31108 + 9.60015i 0.0931741 + 0.682253i
\(199\) 18.4880i 1.31058i 0.755377 + 0.655290i \(0.227454\pi\)
−0.755377 + 0.655290i \(0.772546\pi\)
\(200\) 11.3669 + 8.41389i 0.803762 + 0.594952i
\(201\) 20.9614 3.31256i 1.47851 0.233650i
\(202\) −12.4474 2.23601i −0.875795 0.157325i
\(203\) 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
\(207\) −13.9360 7.11284i −0.968617 0.494376i
\(208\) 5.95905 0.444365i 0.413185 0.0308111i
\(209\) 7.69249 0.532101
\(210\) 1.29392 17.6942i 0.0892889 1.22102i
\(211\) 16.4703i 1.13386i −0.823766 0.566930i \(-0.808131\pi\)
0.823766 0.566930i \(-0.191869\pi\)
\(212\) 6.87112 + 14.9855i 0.471910 + 1.02921i
\(213\) 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
\(216\) −9.71719 11.0262i −0.661171 0.750235i
\(217\) 14.8693 14.8693i 1.00939 1.00939i
\(218\) −1.95605 0.351380i −0.132480 0.0237984i
\(219\) 4.43829 0.701388i 0.299912 0.0473954i
\(220\) 9.37716 + 4.04747i 0.632208 + 0.272880i
\(221\) 6.43084 0.432585
\(222\) 8.00713 + 0.168226i 0.537403 + 0.0112906i
\(223\) 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 −0.958001 0.286764i \(-0.907421\pi\)
0.286764 + 0.958001i \(0.407421\pi\)
\(228\) −9.71726 + 6.45921i −0.643541 + 0.427771i
\(229\) −14.7318 −0.973503 −0.486752 0.873540i \(-0.661818\pi\)
−0.486752 + 0.873540i \(0.661818\pi\)
\(230\) −14.0112 + 8.69998i −0.923874 + 0.573660i
\(231\) −2.00000 12.6557i −0.131590 0.832685i
\(232\) 3.90287 6.61215i 0.256236 0.434109i
\(233\) 5.91148 5.91148i 0.387274 0.387274i −0.486440 0.873714i \(-0.661705\pi\)
0.873714 + 0.486440i \(0.161705\pi\)
\(234\) −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
\(237\) −11.6113 8.44224i −0.754237 0.548383i
\(238\) −19.4086 3.48650i −1.25807 0.225996i
\(239\) −24.4787 −1.58339 −0.791697 0.610914i \(-0.790802\pi\)
−0.791697 + 0.610914i \(0.790802\pi\)
\(240\) −15.2439 + 2.76097i −0.983991 + 0.178220i
\(241\) 7.20044 0.463821 0.231911 0.972737i \(-0.425502\pi\)
0.231911 + 0.972737i \(0.425502\pi\)
\(242\) −8.05142 1.44634i −0.517565 0.0929740i
\(243\) −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
\(246\) −18.3185 19.1048i −1.16795 1.21808i
\(247\) −3.55810 + 3.55810i −0.226397 + 0.226397i
\(248\) −15.8129 9.33366i −1.00412 0.592688i
\(249\) −12.7730 + 2.01854i −0.809457 + 0.127920i
\(250\) −14.9391 5.17907i −0.944833 0.327553i
\(251\) 17.5748 1.10931 0.554656 0.832080i \(-0.312850\pi\)
0.554656 + 0.832080i \(0.312850\pi\)
\(252\) 13.1531 + 14.3075i 0.828570 + 0.901290i
\(253\) −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 \(0.725321\pi\)
\(258\) −0.0846847 + 4.03078i −0.00527224 + 0.250945i
\(259\) −10.5907 −0.658075
\(260\) −6.20946 + 2.46521i −0.385094 + 0.152886i
\(261\) −7.74698 + 2.51125i −0.479526 + 0.155442i
\(262\) −3.82585 0.687265i −0.236362 0.0424594i
\(263\) 12.6682 12.6682i 0.781156 0.781156i −0.198870 0.980026i \(-0.563727\pi\)
0.980026 + 0.198870i \(0.0637272\pi\)
\(264\) −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
\(267\) 11.7451 16.1541i 0.718790 0.988613i
\(268\) 10.2133 + 22.2747i 0.623879 + 1.36064i
\(269\) 8.45856i 0.515728i 0.966181 + 0.257864i \(0.0830186\pi\)
−0.966181 + 0.257864i \(0.916981\pi\)
\(270\) 14.0518 + 8.51742i 0.855166 + 0.518354i
\(271\) −2.72369 −0.165453 −0.0827263 0.996572i \(-0.526363\pi\)
−0.0827263 + 0.996572i \(0.526363\pi\)
\(272\) 1.28046 + 17.1713i 0.0776392 + 1.04116i
\(273\) 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
\(276\) 3.56713 17.7110i 0.214716 1.06608i
\(277\) 18.4490 + 18.4490i 1.10849 + 1.10849i 0.993349 + 0.115146i \(0.0367335\pi\)
0.115146 + 0.993349i \(0.463266\pi\)
\(278\) 1.19298 + 0.214304i 0.0715503 + 0.0128531i
\(279\) 6.00561 + 18.5268i 0.359547 + 1.10917i
\(280\) 20.0770 4.07363i 1.19983 0.243446i
\(281\) 21.0738i 1.25716i −0.777746 0.628579i \(-0.783637\pi\)
0.777746 0.628579i \(-0.216363\pi\)
\(282\) −6.36450 0.133715i −0.379000 0.00796262i
\(283\) 2.63446 2.63446i 0.156602 0.156602i −0.624457 0.781059i \(-0.714680\pi\)
0.781059 + 0.624457i \(0.214680\pi\)
\(284\) −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
\(288\) 9.23256 14.2394i 0.544034 0.839063i
\(289\) 1.53076i 0.0900446i
\(290\) −1.95480 + 8.35882i −0.114790 + 0.490847i
\(291\) 1.06924 + 6.76597i 0.0626797 + 0.396628i
\(292\) 2.16253 + 4.71635i 0.126553 + 0.276003i
\(293\) −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
\(297\) 11.2823 + 3.67873i 0.654664 + 0.213461i
\(298\) −1.95987 + 10.9101i −0.113532 + 0.632008i
\(299\) 7.79128i 0.450581i
\(300\) 15.3418 8.03923i 0.885759 0.464145i
\(301\) 5.33135i 0.307294i
\(302\) 8.29760 + 1.49056i 0.477473 + 0.0857720i
\(303\) −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
\(306\) 11.0480 14.5429i 0.631571 0.831362i
\(307\) −3.18267 3.18267i −0.181644 0.181644i 0.610428 0.792072i \(-0.290998\pi\)
−0.792072 + 0.610428i \(0.790998\pi\)
\(308\) 13.4486 6.16643i 0.766305 0.351365i
\(309\) −6.15511 + 0.972701i −0.350152 + 0.0553350i
\(310\) 19.9900 + 4.67488i 1.13536 + 0.265515i
\(311\) 6.88470i 0.390395i 0.980764 + 0.195198i \(0.0625349\pi\)
−0.980764 + 0.195198i \(0.937465\pi\)
\(312\) 2.69073 6.80599i 0.152333 0.385313i
\(313\) 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 −0.962022 0.272971i \(-0.911994\pi\)
0.272971 + 0.962022i \(0.411994\pi\)
\(318\) 20.1863 + 0.424104i 1.13199 + 0.0237826i
\(319\) 6.19958i 0.347110i
\(320\) −7.81884 16.0893i −0.437086 0.899420i
\(321\) 1.96847 + 12.4562i 0.109869 + 0.695239i
\(322\) −4.22407 + 23.5144i −0.235398 + 1.31041i
\(323\) −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
\(327\) −1.43135 + 1.96866i −0.0791540 + 0.108867i
\(328\) 15.5354 26.3198i 0.857800 1.45327i
\(329\) 8.41808 0.464104
\(330\) 9.46658 8.17640i 0.521118 0.450096i
\(331\) 22.1105i 1.21530i −0.794204 0.607651i \(-0.792112\pi\)
0.794204 0.607651i \(-0.207888\pi\)
\(332\) −6.22358 13.5732i −0.341563 0.744929i
\(333\) 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
\(336\) −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 \(0.224987\pi\)
\(338\) −2.69253 + 14.9887i −0.146454 + 0.815279i
\(339\) 5.08036 + 32.1478i 0.275927 + 1.74603i
\(340\) −7.10361 17.8928i −0.385247 0.970376i
\(341\) 14.8262 0.802885
\(342\) 1.93369 + 14.1591i 0.104562 + 0.765637i
\(343\) −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 −0.627726 0.778435i \(-0.716014\pi\)
0.778435 + 0.627726i \(0.216014\pi\)
\(348\) −5.20564 7.83139i −0.279052 0.419807i
\(349\) 36.8980 1.97511 0.987554 0.157283i \(-0.0502735\pi\)
0.987554 + 0.157283i \(0.0502735\pi\)
\(350\) −20.0597 + 11.0546i −1.07224 + 0.590895i
\(351\) −6.92010 + 3.51696i −0.369367 + 0.187721i
\(352\) −8.14435 10.0285i −0.434095 0.534520i
\(353\) 2.00153 2.00153i 0.106531 0.106531i −0.651832 0.758363i \(-0.725999\pi\)
0.758363 + 0.651832i \(0.225999\pi\)
\(354\) 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
\(357\) −14.2023 + 19.5337i −0.751668 + 1.03383i
\(358\) 2.28159 12.7011i 0.120586 0.671274i
\(359\) 12.9584 0.683920 0.341960 0.939714i \(-0.388909\pi\)
0.341960 + 0.939714i \(0.388909\pi\)
\(360\) −5.09277 + 18.2774i −0.268413 + 0.963304i
\(361\) −7.65447 −0.402867
\(362\) −0.735434 + 4.09400i −0.0386536 + 0.215176i
\(363\) −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
\(366\) −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 \(-0.0207115\pi\)
\(368\) 20.8039 1.55134i 1.08448 0.0808691i
\(369\) −30.8370 + 9.99605i −1.60531 + 0.520374i
\(370\) −5.45415 8.78386i −0.283548 0.456651i
\(371\) −26.6996 −1.38617
\(372\) −18.7287 + 12.4492i −0.971037 + 0.645463i
\(373\) −10.1764 + 10.1764i −0.526916 + 0.526916i −0.919652 0.392735i \(-0.871529\pi\)
0.392735 + 0.919652i \(0.371529\pi\)
\(374\) −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
\(378\) 22.7919 6.86259i 1.17229 0.352974i
\(379\) 13.0462 0.670137 0.335068 0.942194i \(-0.391241\pi\)
0.335068 + 0.942194i \(0.391241\pi\)
\(380\) 13.8302 + 5.96955i 0.709476 + 0.306231i
\(381\) −2.73902 17.3321i −0.140324 0.887951i
\(382\) 0.483176 2.68973i 0.0247214 0.137619i
\(383\) 11.1099 11.1099i 0.567687 0.567687i −0.363793 0.931480i \(-0.618518\pi\)
0.931480 + 0.363793i \(0.118518\pi\)
\(384\) 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
\(387\) 4.39803 + 2.24473i 0.223565 + 0.114106i
\(388\) −7.18986 + 3.29668i −0.365010 + 0.167364i
\(389\) 14.2176i 0.720861i −0.932786 0.360431i \(-0.882630\pi\)
0.932786 0.360431i \(-0.117370\pi\)
\(390\) −0.596760 + 8.16062i −0.0302181 + 0.413229i
\(391\) 22.4509 1.13539
\(392\) 5.02048 8.50559i 0.253573 0.429597i
\(393\) −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
\(396\) −0.575520 + 13.6906i −0.0289210 + 0.687978i
\(397\) −24.3286 24.3286i −1.22102 1.22102i −0.967271 0.253746i \(-0.918337\pi\)
−0.253746 0.967271i \(-0.581663\pi\)
\(398\) −4.62280 + 25.7341i −0.231720 + 1.28993i
\(399\) −2.94977 18.6657i −0.147673 0.934455i
\(400\) 13.7181 + 14.5538i 0.685907 + 0.727689i
\(401\) 21.3193i 1.06463i −0.846545 0.532317i \(-0.821321\pi\)
0.846545 0.532317i \(-0.178679\pi\)
\(402\) 30.0052 + 0.630396i 1.49652 + 0.0314413i
\(403\) −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
\(408\) 19.6118 + 7.75348i 0.970928 + 0.383854i
\(409\) 0.899012i 0.0444533i −0.999753 0.0222266i \(-0.992924\pi\)
0.999753 0.0222266i \(-0.00707554\pi\)
\(410\) −7.78111 + 33.2724i −0.384282 + 1.64321i
\(411\) −24.6159 + 3.89008i −1.21421 + 0.191883i
\(412\) −2.99904 6.54073i −0.147752 0.322239i
\(413\) −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
\(417\) 0.872972 1.20067i 0.0427496 0.0587972i
\(418\) 10.7074 + 1.92345i 0.523718 + 0.0940792i
\(419\) 31.7713i 1.55213i −0.630653 0.776065i \(-0.717213\pi\)
0.630653 0.776065i \(-0.282787\pi\)
\(420\) 6.22536 24.3056i 0.303766 1.18599i
\(421\) 21.3473i 1.04040i 0.854044 + 0.520201i \(0.174143\pi\)
−0.854044 + 0.520201i \(0.825857\pi\)
\(422\) 4.11828 22.9255i 0.200475 1.11600i
\(423\) −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
\(426\) 12.5039 + 13.0406i 0.605817 + 0.631819i
\(427\) 20.5460 + 20.5460i 0.994291 + 0.994291i
\(428\) −13.2366 + 6.06923i −0.639815 + 0.293367i
\(429\) 0.922407 + 5.83686i 0.0445342 + 0.281806i
\(430\) 4.42178 2.74561i 0.213237 0.132405i
\(431\) 5.92452i 0.285374i 0.989768 + 0.142687i \(0.0455743\pi\)
−0.989768 + 0.142687i \(0.954426\pi\)
\(432\) −10.7687 17.7774i −0.518108 0.855315i
\(433\) −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
\(438\) 6.35318 + 0.133477i 0.303567 + 0.00637779i
\(439\) 16.2344i 0.774827i −0.921906 0.387413i \(-0.873369\pi\)
0.921906 0.387413i \(-0.126631\pi\)
\(440\) 12.0403 + 7.97850i 0.574001 + 0.380360i
\(441\) −9.96539 + 3.23036i −0.474542 + 0.153827i
\(442\) 8.95130 + 1.60799i 0.425770 + 0.0764841i
\(443\) 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
\(447\) 10.9805 + 7.98357i 0.519359 + 0.377610i
\(448\) −24.8963 7.18739i −1.17624 0.339572i
\(449\) 2.81035 0.132628 0.0663142 0.997799i \(-0.478876\pi\)
0.0663142 + 0.997799i \(0.478876\pi\)
\(450\) −0.673362 21.2025i −0.0317426 0.999496i
\(451\) 24.6775i 1.16202i
\(452\) −34.1619 + 15.6639i −1.60684 + 0.736766i
\(453\) 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
\(456\) −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 \(0.837134\pi\)
\(458\) −20.5057 3.68358i −0.958166 0.172122i
\(459\) −10.1343 19.9406i −0.473028 0.930747i
\(460\) −21.6781 + 8.60638i −1.01075 + 0.401274i
\(461\) 27.6096 1.28591 0.642954 0.765905i \(-0.277709\pi\)
0.642954 + 0.765905i \(0.277709\pi\)
\(462\) 0.380609 18.1160i 0.0177075 0.842833i
\(463\) 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 −0.313477 0.949596i \(-0.601494\pi\)
0.949596 + 0.313477i \(0.101494\pi\)
\(468\) −6.06628 6.59868i −0.280414 0.305024i
\(469\) −39.6867 −1.83256
\(470\) 4.33526 + 6.98189i 0.199970 + 0.322051i
\(471\) 3.88216 0.613503i 0.178881 0.0282687i
\(472\) −10.6580 + 18.0566i −0.490575 + 0.831121i
\(473\) 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
\(477\) 11.2417 22.0255i 0.514721 1.00848i
\(478\) −34.0727 6.12072i −1.55845 0.279955i
\(479\) 37.7789 1.72616 0.863081 0.505066i \(-0.168532\pi\)
0.863081 + 0.505066i \(0.168532\pi\)
\(480\) −21.9089 + 0.0314436i −0.999999 + 0.00143520i
\(481\) 4.88447 0.222713
\(482\) 10.0225 + 1.80042i 0.456514 + 0.0820069i
\(483\) 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
\(486\) −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 \(0.428577\pi\)
\(488\) 12.8970 21.8499i 0.583822 0.989097i
\(489\) −3.79265 23.9994i −0.171510 1.08529i
\(490\) −2.51457 + 10.7524i −0.113597 + 0.485746i
\(491\) −6.31858 −0.285154 −0.142577 0.989784i \(-0.545539\pi\)
−0.142577 + 0.989784i \(0.545539\pi\)
\(492\) −20.7211 31.1730i −0.934181 1.40539i
\(493\) 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
\(498\) −18.2839 0.384137i −0.819322 0.0172136i
\(499\) 29.5722 1.32383 0.661917 0.749577i \(-0.269743\pi\)
0.661917 + 0.749577i \(0.269743\pi\)
\(500\) −19.4993 10.9443i −0.872034 0.489446i
\(501\) 2.49178 0.393779i 0.111324 0.0175927i
\(502\) 24.4630 + 4.39446i 1.09184 + 0.196134i
\(503\) −24.2566 + 24.2566i −1.08155 + 1.08155i −0.0851818 + 0.996365i \(0.527147\pi\)
−0.996365 + 0.0851818i \(0.972853\pi\)
\(504\) 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
\(507\) 15.0854 + 10.9681i 0.669964 + 0.487110i
\(508\) 18.4180 8.44498i 0.817165 0.374685i
\(509\) 36.5584i 1.62042i 0.586138 + 0.810211i \(0.300648\pi\)
−0.586138 + 0.810211i \(0.699352\pi\)
\(510\) −23.5152 1.71959i −1.04127 0.0761448i
\(511\) −8.40310 −0.371731
\(512\) −0.653333 + 22.6180i −0.0288735 + 0.999583i
\(513\) 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
\(516\) −1.12574 + 5.58940i −0.0495581 + 0.246059i
\(517\) 4.19685 + 4.19685i 0.184577 + 0.184577i
\(518\) −14.7416 2.64813i −0.647707 0.116352i
\(519\) 15.9272 2.51699i 0.699126 0.110484i
\(520\) −9.25956 + 1.87877i −0.406059 + 0.0823896i
\(521\) 29.0118i 1.27103i 0.772089 + 0.635515i \(0.219212\pi\)
−0.772089 + 0.635515i \(0.780788\pi\)
\(522\) −11.4112 + 1.55841i −0.499455 + 0.0682097i
\(523\) 1.09850 1.09850i 0.0480342 0.0480342i −0.682682 0.730716i \(-0.739186\pi\)
0.730716 + 0.682682i \(0.239186\pi\)
\(524\) −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
\(528\) −15.4016 + 3.62515i −0.670269 + 0.157764i
\(529\) 4.20044i 0.182628i
\(530\) −13.7501 22.1445i −0.597267 0.961893i
\(531\) 21.1556 6.85775i 0.918074 0.297601i
\(532\) 19.8351 9.09477i 0.859962 0.394308i
\(533\) −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
\(537\) −12.7830 9.29412i −0.551627 0.401071i
\(538\) −2.11501 + 11.7738i −0.0911844 + 0.507603i
\(539\) 7.97487i 0.343502i
\(540\) 17.4295 + 15.3692i 0.750045 + 0.661387i
\(541\) 1.84481i 0.0793147i −0.999213 0.0396574i \(-0.987373\pi\)
0.999213 0.0396574i \(-0.0126266\pi\)
\(542\) −3.79120 0.681040i −0.162846 0.0292532i
\(543\) 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
\(546\) 8.20337 + 8.55547i 0.351072 + 0.366140i
\(547\) −21.0963 21.0963i −0.902012 0.902012i 0.0935978 0.995610i \(-0.470163\pi\)
−0.995610 + 0.0935978i \(0.970163\pi\)
\(548\) −11.9940 26.1581i −0.512356 1.11742i
\(549\) −25.5999 + 8.29842i −1.09258 + 0.354168i
\(550\) −15.5122 4.48953i −0.661440 0.191434i
\(551\) 9.14366i 0.389533i
\(552\) 9.39372 23.7607i 0.399823 1.01132i
\(553\) 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 −0.480284 0.877113i \(-0.659466\pi\)
0.877113 + 0.480284i \(0.159466\pi\)
\(558\) 3.72691 + 27.2897i 0.157773 + 1.15527i
\(559\) 2.45884i 0.103998i
\(560\) 28.9644 0.650117i 1.22397 0.0274725i
\(561\) −16.8192 + 2.65796i −0.710107 + 0.112219i
\(562\) 5.26936 29.3333i 0.222274 1.23735i
\(563\) 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
\(567\) 4.60008 28.7869i 0.193185 1.20894i
\(568\) −10.6042 + 17.9654i −0.444944 + 0.753813i
\(569\) −23.6605 −0.991898 −0.495949 0.868352i \(-0.665180\pi\)
−0.495949 + 0.868352i \(0.665180\pi\)
\(570\) 13.9621 12.0593i 0.584808 0.505106i
\(571\) 13.8475i 0.579498i 0.957103 + 0.289749i \(0.0935718\pi\)
−0.957103 + 0.289749i \(0.906428\pi\)
\(572\) −6.20254 + 2.84398i −0.259341 + 0.118913i
\(573\) −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
\(576\) 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 \(0.319077\pi\)
\(578\) −0.382755 + 2.13071i −0.0159205 + 0.0886260i
\(579\) −14.6929 + 2.32193i −0.610615 + 0.0964963i
\(580\) −4.81102 + 11.1461i −0.199767 + 0.462818i
\(581\) 24.1834 1.00330
\(582\) −0.203480 + 9.68514i −0.00843453 + 0.401462i
\(583\) −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 −0.845275 0.534331i \(-0.820564\pi\)
0.534331 + 0.845275i \(0.320564\pi\)
\(588\) −6.69632 10.0740i −0.276152 0.415444i
\(589\) 21.8670 0.901012
\(590\) 5.33820 22.8264i 0.219770 0.939749i
\(591\) −5.13661 32.5038i −0.211292 1.33703i
\(592\) 0.972558 + 13.0423i 0.0399719 + 0.536033i
\(593\) 18.0049 18.0049i 0.739373 0.739373i −0.233084 0.972457i \(-0.574882\pi\)
0.972457 + 0.233084i \(0.0748816\pi\)
\(594\) 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
\(597\) 25.9000 + 18.8311i 1.06002 + 0.770705i
\(598\) 1.94816 10.8449i 0.0796660 0.443483i
\(599\) −19.8681 −0.811789 −0.405895 0.913920i \(-0.633040\pi\)
−0.405895 + 0.913920i \(0.633040\pi\)
\(600\) 23.3649 7.35397i 0.953869 0.300224i
\(601\) −16.4386 −0.670546 −0.335273 0.942121i \(-0.608828\pi\)
−0.335273 + 0.942121i \(0.608828\pi\)
\(602\) 1.33307 7.42088i 0.0543318 0.302453i
\(603\) 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
\(606\) −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 \(0.417591\pi\)
\(608\) −12.0120 14.7909i −0.487150 0.599849i
\(609\) 15.0432 2.37730i 0.609581 0.0963329i
\(610\) −6.45964 + 27.6218i −0.261543 + 1.11837i
\(611\) −3.88245 −0.157067
\(612\) 19.0144 17.4803i 0.768612 0.706598i
\(613\) 24.2075 24.2075i 0.977730 0.977730i −0.0220274 0.999757i \(-0.507012\pi\)
0.999757 + 0.0220274i \(0.00701212\pi\)
\(614\) −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 \(0.719728\pi\)
\(618\) −8.81073 0.185109i −0.354419 0.00744619i
\(619\) −46.6044 −1.87319 −0.936595 0.350413i \(-0.886041\pi\)
−0.936595 + 0.350413i \(0.886041\pi\)
\(620\) 26.6559 + 11.5055i 1.07053 + 0.462072i
\(621\) −24.1590 + 12.2782i −0.969468 + 0.492707i
\(622\) −1.72147 + 9.58304i −0.0690247 + 0.384245i
\(623\) −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
\(627\) 7.83524 10.7765i 0.312909 0.430371i
\(628\) 1.89156 + 4.12538i 0.0754815 + 0.164620i
\(629\) 14.0748i 0.561201i
\(630\) −23.4700 19.8352i −0.935067 0.790253i
\(631\) −20.4082 −0.812437 −0.406219 0.913776i \(-0.633153\pi\)
−0.406219 + 0.913776i \(0.633153\pi\)
\(632\) 11.9165 20.1887i 0.474013 0.803062i
\(633\) −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
\(636\) 27.9919 + 5.63776i 1.10995 + 0.223552i
\(637\) −3.68872 3.68872i −0.146152 0.146152i
\(638\) −1.55016 + 8.62940i −0.0613715 + 0.341641i
\(639\) 21.0488 6.82314i 0.832678 0.269919i
\(640\) −6.86028 24.3503i −0.271177 0.962530i
\(641\) 13.1821i 0.520663i −0.965519 0.260331i \(-0.916168\pi\)
0.965519 0.260331i \(-0.0838318\pi\)
\(642\) −0.374609 + 17.8304i −0.0147846 + 0.703711i
\(643\) −22.6851 + 22.6851i −0.894614 + 0.894614i −0.994953 0.100339i \(-0.968007\pi\)
0.100339 + 0.994953i \(0.468007\pi\)
\(644\) −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 \(0.570668\pi\)
\(648\) −25.3441 + 2.38212i −0.995612 + 0.0935786i
\(649\) 16.9299i 0.664557i
\(650\) 9.25162 5.09843i 0.362879 0.199977i
\(651\) −5.68528 35.9756i −0.222824 1.41000i
\(652\) 25.5029 11.6936i 0.998772 0.457955i
\(653\) −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
\(657\) 3.53807 6.93204i 0.138033 0.270444i
\(658\) 11.7174 + 2.10488i 0.456792 + 0.0820568i
\(659\) 33.0388i 1.28701i −0.765442 0.643505i \(-0.777480\pi\)
0.765442 0.643505i \(-0.222520\pi\)
\(660\) 15.2213 9.01396i 0.592488 0.350868i
\(661\) 1.50452i 0.0585192i 0.999572 + 0.0292596i \(0.00931495\pi\)
−0.999572 + 0.0292596i \(0.990685\pi\)
\(662\) 5.52857 30.7763i 0.214874 1.19616i
\(663\) 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
\(666\) 8.39138 11.0459i 0.325159 0.428020i
\(667\) −10.0111 10.0111i −0.387630 0.387630i
\(668\) 1.21411 + 2.64789i 0.0469751 + 0.102450i
\(669\) 10.7166 1.69356i 0.414328 0.0654768i
\(670\) −20.4384 32.9159i −0.789605 1.27165i
\(671\) 20.4865i 0.790873i
\(672\) −21.2110 + 23.6077i −0.818230 + 0.910687i
\(673\) 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 −0.949138 0.314860i \(-0.898042\pi\)
0.314860 + 0.949138i \(0.398042\pi\)
\(678\) −0.966816 + 46.0180i −0.0371303 + 1.76731i
\(679\) 12.8102i 0.491609i
\(680\) −5.41377 26.6819i −0.207609 1.02320i
\(681\) 3.86680 + 24.4686i 0.148176 + 0.937637i
\(682\) 20.6371 + 3.70719i 0.790236 + 0.141956i
\(683\) 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
\(687\) −15.0052 + 20.6379i −0.572482 + 0.787384i
\(688\) −6.56545 + 0.489584i −0.250306 + 0.0186652i
\(689\) 12.3139 0.469124
\(690\) −2.08337 + 28.4899i −0.0793126 + 1.08459i
\(691\) 16.7696i 0.637945i 0.947764 + 0.318972i \(0.103338\pi\)
−0.947764 + 0.318972i \(0.896662\pi\)
\(692\) 7.76043 + 16.9250i 0.295007 + 0.643393i
\(693\) −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
\(696\) −5.28772 12.2024i −0.200431 0.462531i
\(697\) 32.8911 32.8911i 1.24584 1.24584i
\(698\) 51.3596 + 9.22610i 1.94399 + 0.349213i
\(699\) −2.26026 14.3026i −0.0854908 0.540974i
\(700\) −30.6860 + 10.3715i −1.15982 + 0.392006i
\(701\) −40.5328 −1.53090 −0.765451 0.643495i \(-0.777484\pi\)
−0.765451 + 0.643495i \(0.777484\pi\)
\(702\) −10.5117 + 3.16505i −0.396739 + 0.119457i
\(703\) −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
\(708\) 14.2157 + 21.3861i 0.534257 + 0.803739i
\(709\) −22.2655 −0.836199 −0.418099 0.908401i \(-0.637304\pi\)
−0.418099 + 0.908401i \(0.637304\pi\)
\(710\) 5.31126 22.7112i 0.199328 0.852337i
\(711\) −23.6536 + 7.66751i −0.887079 + 0.287554i
\(712\) 28.0871 + 16.5786i 1.05261 + 0.621310i
\(713\) −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
\(717\) −24.9329 + 34.2924i −0.931137 + 1.28067i
\(718\) 18.0373 + 3.24017i 0.673146 + 0.120922i
\(719\) −36.9961 −1.37972 −0.689861 0.723942i \(-0.742328\pi\)
−0.689861 + 0.723942i \(0.742328\pi\)
\(720\) −11.6589 + 24.1675i −0.434503 + 0.900670i
\(721\) 11.6536 0.434003
\(722\) −10.6545 1.91395i −0.396520 0.0712297i
\(723\) 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
\(726\) −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 \(0.487049\pi\)
\(728\) −6.95705 + 11.7865i −0.257846 + 0.436836i
\(729\) 21.8106 + 15.9153i 0.807800 + 0.589456i
\(730\) −4.32754 6.96947i −0.160170 0.257952i
\(731\) −7.08525 −0.262058
\(732\) −17.2021 25.8789i −0.635807 0.956510i
\(733\) −37.3652 + 37.3652i −1.38012 + 1.38012i −0.535719 + 0.844397i \(0.679959\pi\)
−0.844397 + 0.535719i \(0.820041\pi\)
\(734\) 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
\(738\) −45.4225 + 6.20327i −1.67202 + 0.228345i
\(739\) 1.28705 0.0473450 0.0236725 0.999720i \(-0.492464\pi\)
0.0236725 + 0.999720i \(0.492464\pi\)
\(740\) −5.39547 13.5903i −0.198341 0.499590i
\(741\) 1.36044 + 8.60870i 0.0499772 + 0.316248i
\(742\) −37.1641 6.67605i −1.36434 0.245085i
\(743\) 7.11771 7.11771i 0.261123 0.261123i −0.564387 0.825510i \(-0.690887\pi\)
0.825510 + 0.564387i \(0.190887\pi\)
\(744\) −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
\(747\) −10.1823 + 19.9498i −0.372549 + 0.729925i
\(748\) −8.19506 17.8729i −0.299641 0.653499i
\(749\) 23.5836i 0.861727i
\(750\) −22.4717 + 15.6531i −0.820552 + 0.571572i
\(751\) −24.0090 −0.876102 −0.438051 0.898950i \(-0.644331\pi\)
−0.438051 + 0.898950i \(0.644331\pi\)
\(752\) −0.773042 10.3667i −0.0281899 0.378034i
\(753\) 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
\(756\) 33.4408 3.85332i 1.21623 0.140144i
\(757\) −5.24365 5.24365i −0.190584 0.190584i 0.605365 0.795948i \(-0.293027\pi\)
−0.795948 + 0.605365i \(0.793027\pi\)
\(758\) 18.1594 + 3.26210i 0.659579 + 0.118485i
\(759\) 3.22025 + 20.3773i 0.116888 + 0.739649i
\(760\) 17.7581 + 11.7674i 0.644154 + 0.426847i
\(761\) 41.1375i 1.49123i 0.666376 + 0.745616i \(0.267845\pi\)
−0.666376 + 0.745616i \(0.732155\pi\)
\(762\) 0.521247 24.8100i 0.0188828 0.898772i
\(763\) 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
\(768\) 24.5837 + 12.7923i 0.887088 + 0.461601i
\(769\) 43.5085i 1.56896i −0.620156 0.784478i \(-0.712931\pi\)
0.620156 0.784478i \(-0.287069\pi\)
\(770\) −19.8734 + 12.3399i −0.716186 + 0.444700i
\(771\) 4.24865 0.671420i 0.153012 0.0241806i
\(772\) −7.15902 15.6134i −0.257659 0.561938i
\(773\) 34.3280 + 34.3280i 1.23469 + 1.23469i 0.962141 + 0.272551i \(0.0878672\pi\)