Properties

Label 120.2.w.c.53.2
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 53.2
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39193 - 0.250043i) q^{2} +(1.40091 - 1.01856i) q^{3} +(1.87496 + 0.696087i) q^{4} +(2.23305 + 0.116202i) q^{5} +(-2.20465 + 1.06748i) q^{6} +(-2.29041 + 2.29041i) q^{7} +(-2.43576 - 1.43773i) q^{8} +(0.925085 - 2.85381i) q^{9} +O(q^{10})\) \(q+(-1.39193 - 0.250043i) q^{2} +(1.40091 - 1.01856i) 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} +(-2.43576 - 1.43773i) q^{8} +(0.925085 - 2.85381i) q^{9} +(-3.07920 - 0.720103i) q^{10} +2.28378 q^{11} +(3.33565 - 0.934597i) q^{12} +(1.05635 - 1.05635i) q^{13} +(3.76080 - 2.61540i) q^{14} +(3.24665 - 2.11170i) q^{15} +(3.03093 + 2.61026i) q^{16} +(-3.04391 - 3.04391i) q^{17} +(-2.00123 + 3.74100i) 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} +(-4.87669 + 0.466842i) q^{24} +(4.97299 + 0.518967i) q^{25} +(-1.73449 + 1.20623i) q^{26} +(-1.61081 - 4.94017i) q^{27} +(-5.88875 + 2.70010i) q^{28} +2.71461i q^{29} +(-5.04714 + 2.12754i) q^{30} -6.49196 q^{31} +(-3.56617 - 4.39118i) q^{32} +(3.19937 - 2.32616i) 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} +(4.68847 + 0.842223i) q^{38} +(0.403895 - 2.55579i) q^{39} +(-5.27211 - 3.49355i) q^{40} +10.8056i q^{41} +(2.60460 - 7.49452i) q^{42} +(-1.16384 + 1.16384i) q^{43} +(4.28199 + 1.58971i) q^{44} +(2.39737 - 6.26519i) q^{45} +(6.05536 - 4.21112i) q^{46} +(1.83768 + 1.83768i) q^{47} +(6.90475 + 0.569569i) 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} +(1.00688 + 7.27916i) q^{54} +(5.09979 + 0.265379i) q^{55} +(8.87188 - 2.28592i) q^{56} +(-4.71870 + 3.43082i) q^{57} +(0.678770 - 3.77856i) q^{58} -7.41311i q^{59} +(7.55725 - 1.69939i) q^{60} -8.97044i q^{61} +(9.03638 + 1.62327i) q^{62} +(4.41757 + 8.65522i) 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} +(-3.58837 - 7.82602i) q^{68} +(-1.41005 + 8.92262i) q^{69} +(8.70196 - 5.40329i) q^{70} -7.37570i q^{71} +(-6.35628 + 5.62118i) q^{72} +(1.83441 + 1.83441i) q^{73} +(-2.64001 - 3.79620i) q^{74} +(7.49530 - 4.33825i) q^{75} +(-6.31544 - 2.34464i) q^{76} +(-5.23080 + 5.23080i) q^{77} +(-1.20125 + 3.45650i) 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} +(-5.49939 + 9.78061i) q^{84} +(-6.44348 - 7.15090i) q^{85} +(1.91100 - 1.32898i) q^{86} +(2.76499 + 3.80292i) q^{87} +(-5.56275 - 3.28345i) q^{88} -11.5311 q^{89} +(-4.90355 + 8.12128i) q^{90} +4.83893i q^{91} +(-9.48162 + 4.34749i) q^{92} +(-9.09464 + 6.61243i) 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} +(-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
\(3\) 1.40091 1.01856i 0.808814 0.588064i
\(4\) 1.87496 + 0.696087i 0.937478 + 0.348043i
\(5\) 2.23305 + 0.116202i 0.998649 + 0.0519669i
\(6\) −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 \(0.459690\pi\)
\(8\) −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 \(-0.388119\pi\)
0.344293 + 0.938862i \(0.388119\pi\)
\(12\) 3.33565 0.934597i 0.962918 0.269795i
\(13\) 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
\(15\) 3.24665 2.11170i 0.838281 0.545238i
\(16\) 3.03093 + 2.61026i 0.757732 + 0.652566i
\(17\) −3.04391 3.04391i −0.738256 0.738256i 0.233984 0.972240i \(-0.424824\pi\)
−0.972240 + 0.233984i \(0.924824\pi\)
\(18\) −2.00123 + 3.74100i −0.471695 + 0.881762i
\(19\) −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 −0.977925 0.208956i \(-0.932994\pi\)
0.208956 + 0.977925i \(0.432994\pi\)
\(24\) −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
\(27\) −1.61081 4.94017i −0.310000 0.950737i
\(28\) −5.88875 + 2.70010i −1.11287 + 0.510270i
\(29\) 2.71461i 0.504091i 0.967715 + 0.252045i \(0.0811032\pi\)
−0.967715 + 0.252045i \(0.918897\pi\)
\(30\) −5.04714 + 2.12754i −0.921477 + 0.388434i
\(31\) −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
\(33\) 3.19937 2.32616i 0.556938 0.404932i
\(34\) 3.47581 + 4.99803i 0.596096 + 0.857154i
\(35\) −5.38074 + 4.84844i −0.909512 + 0.819537i
\(36\) 3.72099 4.70683i 0.620165 0.784471i
\(37\) 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 \(0.319670\pi\)
−0.536702 + 0.843772i \(0.680330\pi\)
\(42\) 2.60460 7.49452i 0.401899 1.15643i
\(43\) −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
\(45\) 2.39737 6.26519i 0.357379 0.933959i
\(46\) 6.05536 4.21112i 0.892814 0.620895i
\(47\) 1.83768 + 1.83768i 0.268053 + 0.268053i 0.828315 0.560262i \(-0.189300\pi\)
−0.560262 + 0.828315i \(0.689300\pi\)
\(48\) 6.90475 + 0.569569i 0.996615 + 0.0822102i
\(49\) 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 0.182577 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
\(57\) −4.71870 + 3.43082i −0.625007 + 0.454423i
\(58\) 0.678770 3.77856i 0.0891268 0.496149i
\(59\) 7.41311i 0.965104i −0.875867 0.482552i \(-0.839710\pi\)
0.875867 0.482552i \(-0.160290\pi\)
\(60\) 7.55725 1.69939i 0.975637 0.219390i
\(61\) 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
\(63\) 4.41757 + 8.65522i 0.556561 + 1.09045i
\(64\) 3.86589 + 7.00392i 0.483236 + 0.875490i
\(65\) 2.48162 2.23612i 0.307807 0.277356i
\(66\) −5.03494 + 2.43788i −0.619759 + 0.300082i
\(67\) 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 \(-0.855805\pi\)
0.899137 0.437667i \(-0.144195\pi\)
\(72\) −6.35628 + 5.62118i −0.749095 + 0.662463i
\(73\) 1.83441 + 1.83441i 0.214701 + 0.214701i 0.806261 0.591560i \(-0.201488\pi\)
−0.591560 + 0.806261i \(0.701488\pi\)
\(74\) −2.64001 3.79620i −0.306895 0.441299i
\(75\) 7.49530 4.33825i 0.865483 0.500938i
\(76\) −6.31544 2.34464i −0.724431 0.268948i
\(77\) −5.23080 + 5.23080i −0.596104 + 0.596104i
\(78\) −1.20125 + 3.45650i −0.136015 + 0.391371i
\(79\) 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 0.934759 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
\(87\) 2.76499 + 3.80292i 0.296438 + 0.407716i
\(88\) −5.56275 3.28345i −0.592991 0.350017i
\(89\) −11.5311 −1.22230 −0.611149 0.791515i \(-0.709292\pi\)
−0.611149 + 0.791515i \(0.709292\pi\)
\(90\) −4.90355 + 8.12128i −0.516880 + 0.856058i
\(91\) 4.83893i 0.507258i
\(92\) −9.48162 + 4.34749i −0.988527 + 0.453258i
\(93\) −9.09464 + 6.61243i −0.943070 + 0.685677i
\(94\) −2.09843 3.01742i −0.216436 0.311224i
\(95\) −7.52160 0.391403i −0.771700 0.0401571i
\(96\) −9.46854 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 \(0.314346\pi\)
\(98\) −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 \(-0.353237\pi\)
0.444907 + 0.895577i \(0.353237\pi\)
\(102\) 9.96006 + 3.46146i 0.986193 + 0.342736i
\(103\) −2.54400 2.54400i −0.250668 0.250668i 0.570577 0.821244i \(-0.306720\pi\)
−0.821244 + 0.570577i \(0.806720\pi\)
\(104\) −4.09174 + 1.05427i −0.401228 + 0.103380i
\(105\) −2.59951 + 12.2728i −0.253686 + 1.19770i
\(106\) 6.65558 + 9.57036i 0.646447 + 0.929556i
\(107\) 5.14834 5.14834i 0.497709 0.497709i −0.413015 0.910724i \(-0.635524\pi\)
0.910724 + 0.413015i \(0.135524\pi\)
\(108\) 0.418595 10.3839i 0.0402793 0.999188i
\(109\) −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 \(-0.404943\pi\)
0.955740 0.294212i \(-0.0950570\pi\)
\(114\) 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
\(117\) −2.03740 3.99181i −0.188357 0.369043i
\(118\) −1.85360 + 10.3186i −0.170637 + 0.949900i
\(119\) 13.9436 1.27821
\(120\) −10.9441 + 0.475800i −0.999056 + 0.0434344i
\(121\) −5.78435 −0.525850
\(122\) −2.24300 + 12.4863i −0.203071 + 1.13045i
\(123\) 11.0061 + 15.1376i 0.992384 + 1.36491i
\(124\) −12.1721 4.51897i −1.09309 0.405815i
\(125\) 11.0446 + 1.73675i 0.987861 + 0.155339i
\(126\) −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 \(0.101607\pi\)
\(128\) −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 \(-0.461687\pi\)
0.120073 + 0.992765i \(0.461687\pi\)
\(132\) 7.61788 2.13441i 0.663051 0.185777i
\(133\) 7.71482 7.71482i 0.668960 0.668960i
\(134\) −9.89296 14.2255i −0.854622 1.22890i
\(135\) −3.02295 11.2188i −0.260174 0.965562i
\(136\) 3.03793 + 11.7905i 0.260501 + 1.01103i
\(137\) 10.1741 + 10.1741i 0.869232 + 0.869232i 0.992387 0.123155i \(-0.0393012\pi\)
−0.123155 + 0.992387i \(0.539301\pi\)
\(138\) 4.19374 12.0671i 0.356995 1.02722i
\(139\) 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
\(144\) 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
\(147\) −3.55676 4.89192i −0.293357 0.403478i
\(148\) 2.72551 + 5.94417i 0.224036 + 0.488608i
\(149\) 7.83812i 0.642124i −0.947058 0.321062i \(-0.895960\pi\)
0.947058 0.321062i \(-0.104040\pi\)
\(150\) −11.5177 + 4.16441i −0.940417 + 0.340022i
\(151\) 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
\(153\) −11.5026 + 5.87086i −0.929930 + 0.474631i
\(154\) 8.58884 5.97299i 0.692109 0.481318i
\(155\) −14.4969 0.754376i −1.16442 0.0605930i
\(156\) 2.53634 4.51085i 0.203069 0.361157i
\(157\) 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
\(162\) 8.82478 + 9.17187i 0.693340 + 0.720610i
\(163\) 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
\(165\) 7.41464 4.82265i 0.577229 0.375443i
\(166\) −6.02835 8.66845i −0.467891 0.672802i
\(167\) −1.02989 1.02989i −0.0796952 0.0796952i 0.666136 0.745831i \(-0.267947\pi\)
−0.745831 + 0.666136i \(0.767947\pi\)
\(168\) 10.1004 12.2389i 0.779259 0.944249i
\(169\) 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 0.411099 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
\(177\) −7.55067 10.3851i −0.567543 0.780590i
\(178\) 16.0506 + 2.88328i 1.20304 + 0.216111i
\(179\) 9.12480i 0.682019i 0.940060 + 0.341010i \(0.110769\pi\)
−0.940060 + 0.341010i \(0.889231\pi\)
\(180\) 8.85609 10.0782i 0.660094 0.751183i
\(181\) 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
\(183\) −9.13690 12.5668i −0.675419 0.928962i
\(184\) 14.2848 3.68061i 1.05309 0.271338i
\(185\) 4.89408 + 5.43139i 0.359820 + 0.399323i
\(186\) 14.3125 6.93001i 1.04945 0.508133i
\(187\) −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 \(0.0222715\pi\)
−0.997553 + 0.0699108i \(0.977729\pi\)
\(192\) 12.5496 + 5.87422i 0.905692 + 0.423935i
\(193\) −6.07278 6.07278i −0.437128 0.437128i 0.453916 0.891044i \(-0.350027\pi\)
−0.891044 + 0.453916i \(0.850027\pi\)
\(194\) 4.59175 3.19327i 0.329668 0.229263i
\(195\) 1.19890 5.66026i 0.0858552 0.405340i
\(196\) 2.43071 6.54728i 0.173622 0.467663i
\(197\) −13.4343 + 13.4343i −0.957153 + 0.957153i −0.999119 0.0419662i \(-0.986638\pi\)
0.0419662 + 0.999119i \(0.486638\pi\)
\(198\) −4.57037 + 8.54362i −0.324802 + 0.607169i
\(199\) 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
\(204\) −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
\(207\) 7.11284 + 13.9360i 0.494376 + 0.968617i
\(208\) 5.95905 0.444365i 0.413185 0.0308111i
\(209\) −7.69249 −0.532101
\(210\) 6.68708 16.4330i 0.461452 1.13398i
\(211\) 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
\(213\) −7.51256 10.3327i −0.514752 0.707983i
\(214\) −8.45345 + 5.87884i −0.577866 + 0.401869i
\(215\) −2.73415 + 2.46367i −0.186468 + 0.168021i
\(216\) −3.17907 + 14.3490i −0.216308 + 0.976325i
\(217\) 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
\(222\) −7.56506 2.62912i −0.507733 0.176455i
\(223\) 4.42933 + 4.42933i 0.296610 + 0.296610i 0.839685 0.543074i \(-0.182740\pi\)
−0.543074 + 0.839685i \(0.682740\pi\)
\(224\) 18.2256 + 1.88960i 1.21775 + 0.126255i
\(225\) 6.08147 13.7119i 0.405432 0.914125i
\(226\) −21.8172 + 15.1725i −1.45126 + 1.00926i
\(227\) 10.1132 10.1132i 0.671238 0.671238i −0.286764 0.958001i \(-0.592579\pi\)
0.958001 + 0.286764i \(0.0925795\pi\)
\(228\) −11.2355 + 3.14801i −0.744089 + 0.208482i
\(229\) −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 −0.873714 0.486440i \(-0.838295\pi\)
0.486440 + 0.873714i \(0.338295\pi\)
\(234\) 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
\(237\) −8.44224 11.6113i −0.548383 0.754237i
\(238\) −19.4086 3.48650i −1.25807 0.225996i
\(239\) 24.4787 1.58339 0.791697 0.610914i \(-0.209198\pi\)
0.791697 + 0.610914i \(0.209198\pi\)
\(240\) 15.3524 + 2.07422i 0.990996 + 0.133890i
\(241\) 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
\(243\) −15.5884 + 0.0268543i −0.999999 + 0.00172270i
\(244\) 6.24420 16.8192i 0.399744 1.07674i
\(245\) 0.405772 7.79771i 0.0259238 0.498178i
\(246\) −11.5347 23.8225i −0.735423 1.51887i
\(247\) −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 \(-0.687150\pi\)
−0.554656 + 0.832080i \(0.687150\pi\)
\(252\) 2.25797 + 19.3032i 0.142239 + 1.21599i
\(253\) −8.42223 + 8.42223i −0.529501 + 0.529501i
\(254\) −11.7625 + 8.18006i −0.738044 + 0.513263i
\(255\) −16.3103 3.45469i −1.02139 0.216341i
\(256\) 2.37304 + 15.8230i 0.148315 + 0.988940i
\(257\) −1.75603 1.75603i −0.109538 0.109538i 0.650213 0.759752i \(-0.274679\pi\)
−0.759752 + 0.650213i \(0.774679\pi\)
\(258\) 1.32349 3.80824i 0.0823972 0.237091i
\(259\) −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 −0.980026 0.198870i \(-0.936273\pi\)
0.198870 + 0.980026i \(0.436273\pi\)
\(264\) −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
\(267\) −16.1541 + 11.7451i −0.988613 + 0.718790i
\(268\) 10.2133 + 22.2747i 0.623879 + 1.36064i
\(269\) 8.45856i 0.515728i −0.966181 0.257864i \(-0.916981\pi\)
0.966181 0.257864i \(-0.0830186\pi\)
\(270\) 1.40256 + 16.3717i 0.0853570 + 0.996350i
\(271\) −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
\(273\) 4.92872 + 6.77889i 0.298300 + 0.410277i
\(274\) −11.6177 16.7056i −0.701852 1.00922i
\(275\) 11.3572 + 1.18521i 0.684867 + 0.0714707i
\(276\) −8.85470 + 15.7480i −0.532990 + 0.947918i
\(277\) 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 \(0.216363\pi\)
−0.777746 + 0.628579i \(0.783637\pi\)
\(282\) −6.01312 2.08977i −0.358076 0.124444i
\(283\) 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
\(285\) −10.9357 + 7.11286i −0.647777 + 0.421329i
\(286\) −3.96120 + 2.75477i −0.234231 + 0.162893i
\(287\) −24.7492 24.7492i −1.46090 1.46090i
\(288\) −15.8306 + 6.11495i −0.932826 + 0.360327i
\(289\) 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 \(0.000535155\pi\)
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
\(297\) −3.67873 11.2823i −0.213461 0.654664i
\(298\) −1.95987 + 10.9101i −0.113532 + 0.632008i
\(299\) 7.79128i 0.450581i
\(300\) 17.0732 2.91665i 0.985720 0.168393i
\(301\) 5.33135i 0.307294i
\(302\) −8.29760 1.49056i −0.477473 0.0857720i
\(303\) 12.5276 9.10846i 0.719694 0.523267i
\(304\) −10.2091 8.79219i −0.585533 0.504267i
\(305\) 1.04238 20.0314i 0.0596865 1.14700i
\(306\) 17.4788 5.29569i 0.999198 0.302735i
\(307\) −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 \(-0.937465\pi\)
0.980764 0.195198i \(-0.0625349\pi\)
\(312\) −4.65832 + 5.64461i −0.263725 + 0.319563i
\(313\) 2.20044 + 2.20044i 0.124376 + 0.124376i 0.766555 0.642179i \(-0.221969\pi\)
−0.642179 + 0.766555i \(0.721969\pi\)
\(314\) −1.83222 2.63464i −0.103398 0.148681i
\(315\) 8.85888 + 19.8408i 0.499142 + 1.11790i
\(316\) 5.76947 15.5405i 0.324558 0.874219i
\(317\) 12.2682 12.2682i 0.689052 0.689052i −0.272971 0.962022i \(-0.588006\pi\)
0.962022 + 0.272971i \(0.0880062\pi\)
\(318\) 19.0718 + 6.62811i 1.06949 + 0.371686i
\(319\) 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
\(324\) −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
\(327\) −1.96866 + 1.43135i −0.108867 + 0.0791540i
\(328\) 15.5354 26.3198i 0.857800 1.45327i
\(329\) −8.41808 −0.464104
\(330\) −11.5266 + 4.85883i −0.634516 + 0.267470i
\(331\) 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
\(333\) 8.73668 4.45915i 0.478767 0.244360i
\(334\) 1.17602 + 1.69105i 0.0643489 + 0.0925303i
\(335\) 18.3396 + 20.3531i 1.00200 + 1.11201i
\(336\) −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 \(0.224987\pi\)
\(338\) 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
\(342\) 6.74077 12.6009i 0.364499 0.681376i
\(343\) −8.03485 8.03485i −0.433841 0.433841i
\(344\) 4.50813 1.16156i 0.243062 0.0626270i
\(345\) −4.18553 + 19.7608i −0.225342 + 1.06388i
\(346\) 7.51699 + 10.8090i 0.404116 + 0.581097i
\(347\) −2.80739 + 2.80739i −0.150709 + 0.150709i −0.778435 0.627726i \(-0.783986\pi\)
0.627726 + 0.778435i \(0.283986\pi\)
\(348\) 2.53707 + 9.05498i 0.136001 + 0.485398i
\(349\) 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 −0.758363 0.651832i \(-0.774001\pi\)
0.651832 + 0.758363i \(0.274001\pi\)
\(354\) 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
\(357\) 19.5337 14.2023i 1.03383 0.751668i
\(358\) 2.28159 12.7011i 0.120586 0.671274i
\(359\) −12.9584 −0.683920 −0.341960 0.939714i \(-0.611091\pi\)
−0.341960 + 0.939714i \(0.611091\pi\)
\(360\) −14.8471 + 11.8138i −0.782509 + 0.622639i
\(361\) −7.65447 −0.402867
\(362\) 0.735434 4.09400i 0.0386536 0.215176i
\(363\) −8.10334 + 5.89168i −0.425315 + 0.309233i
\(364\) −3.36831 + 9.07278i −0.176548 + 0.475543i
\(365\) 3.88316 + 4.30948i 0.203254 + 0.225569i
\(366\) 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 \(-0.0207115\pi\)
\(368\) −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
\(372\) −21.6549 + 6.06737i −1.12275 + 0.314578i
\(373\) −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
\(375\) 17.2415 8.81655i 0.890346 0.455285i
\(376\) −1.83407 7.11823i −0.0945850 0.367095i
\(377\) 2.86757 + 2.86757i 0.147687 + 0.147687i
\(378\) −18.9784 14.3661i −0.976145 0.738913i
\(379\) 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 −0.931480 0.363793i \(-0.881482\pi\)
0.363793 + 0.931480i \(0.381482\pi\)
\(384\) −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
\(387\) 2.24473 + 4.39803i 0.114106 + 0.223565i
\(388\) −7.18986 + 3.29668i −0.365010 + 0.167364i
\(389\) 14.2176i 0.720861i 0.932786 + 0.360431i \(0.117370\pi\)
−0.932786 + 0.360431i \(0.882630\pi\)
\(390\) −3.08410 + 7.57893i −0.156170 + 0.383774i
\(391\) 22.4509 1.13539
\(392\) −5.02048 + 8.50559i −0.253573 + 0.429597i
\(393\) 3.85052 2.79959i 0.194233 0.141221i
\(394\) 22.0588 15.3405i 1.11130 0.772842i
\(395\) 0.963130 18.5085i 0.0484603 0.931262i
\(396\) 8.49793 10.7494i 0.427037 0.540176i
\(397\) −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 \(0.178679\pi\)
−0.846545 + 0.532317i \(0.821321\pi\)
\(402\) −28.3486 9.85213i −1.41390 0.491380i
\(403\) −6.85775 + 6.85775i −0.341609 + 0.341609i
\(404\) 16.7668 + 6.22476i 0.834181 + 0.309694i
\(405\) −15.6619 12.6375i −0.778245 0.627961i
\(406\) 7.09979 + 10.2091i 0.352357 + 0.506670i
\(407\) 5.28003 + 5.28003i 0.261721 + 0.261721i
\(408\) 16.2652 + 13.4232i 0.805248 + 0.664545i
\(409\) 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
\(414\) −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
\(417\) 1.20067 0.872972i 0.0587972 0.0427496i
\(418\) 10.7074 + 1.92345i 0.523718 + 0.0940792i
\(419\) 31.7713i 1.55213i 0.630653 + 0.776065i \(0.282787\pi\)
−0.630653 + 0.776065i \(0.717213\pi\)
\(420\) −13.4169 + 21.2015i −0.654678 + 1.03453i
\(421\) 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
\(423\) 6.94439 3.54437i 0.337648 0.172333i
\(424\) 5.81712 + 22.5769i 0.282504 + 1.09643i
\(425\) −13.5577 16.7170i −0.657643 0.810895i
\(426\) 7.87338 + 16.2608i 0.381466 + 0.787841i
\(427\) 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 \(-0.954426\pi\)
0.989768 0.142687i \(-0.0455743\pi\)
\(432\) 8.01292 19.1779i 0.385522 0.922699i
\(433\) −19.7804 19.7804i −0.950585 0.950585i 0.0482500 0.998835i \(-0.484636\pi\)
−0.998835 + 0.0482500i \(0.984636\pi\)
\(434\) −24.4150 + 16.9791i −1.17196 + 0.815021i
\(435\) 5.73244 + 8.81339i 0.274849 + 0.422570i
\(436\) −2.63483 0.978194i −0.126186 0.0468470i
\(437\) 12.4218 12.4218i 0.594217 0.594217i
\(438\) −6.00242 2.08605i −0.286807 0.0996753i
\(439\) 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 \(-0.840248\pi\)
−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
\(447\) −7.98357 10.9805i −0.377610 0.519359i
\(448\) −24.8963 7.18739i −1.17624 0.339572i
\(449\) −2.81035 −0.132628 −0.0663142 0.997799i \(-0.521124\pi\)
−0.0663142 + 0.997799i \(0.521124\pi\)
\(450\) −11.8936 + 17.5654i −0.560668 + 0.828041i
\(451\) 24.6775i 1.16202i
\(452\) 34.1619 15.6639i 1.60684 0.736766i
\(453\) 8.35110 6.07182i 0.392369 0.285279i
\(454\) −16.6057 + 11.5482i −0.779342 + 0.541983i
\(455\) −0.562291 + 10.8056i −0.0263606 + 0.506572i
\(456\) 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 \(0.837134\pi\)
\(458\) 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 \(-0.722291\pi\)
−0.642954 + 0.765905i \(0.722291\pi\)
\(462\) 5.94834 17.1158i 0.276742 0.796301i
\(463\) 15.0078 + 15.0078i 0.697470 + 0.697470i 0.963864 0.266395i \(-0.0858324\pi\)
−0.266395 + 0.963864i \(0.585832\pi\)
\(464\) −7.08585 + 8.22779i −0.328953 + 0.381966i
\(465\) −21.0771 + 13.7091i −0.977428 + 0.635742i
\(466\) 9.70650 6.75026i 0.449645 0.312700i
\(467\) −13.7467 + 13.7467i −0.636119 + 0.636119i −0.949596 0.313477i \(-0.898506\pi\)
0.313477 + 0.949596i \(0.398506\pi\)
\(468\) −1.04138 8.90269i −0.0481380 0.411527i
\(469\) −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
\(474\) 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
\(477\) −22.0255 + 11.2417i −1.00848 + 0.514721i
\(478\) −34.0727 6.12072i −1.55845 0.279955i
\(479\) −37.7789 −1.72616 −0.863081 0.505066i \(-0.831468\pi\)
−0.863081 + 0.505066i \(0.831468\pi\)
\(480\) −20.8509 6.72595i −0.951711 0.306996i
\(481\) 4.88447 0.222713
\(482\) −10.0225 1.80042i −0.456514 0.0820069i
\(483\) −17.2069 23.6661i −0.782939 1.07684i
\(484\) −10.8454 4.02641i −0.492973 0.183018i
\(485\) −6.56961 + 5.91970i −0.298311 + 0.268800i
\(486\) 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 \(0.428577\pi\)
\(488\) −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 \(-0.454461\pi\)
0.142577 + 0.989784i \(0.454461\pi\)
\(492\) 10.0988 + 36.0435i 0.455291 + 1.62497i
\(493\) 8.26303 8.26303i 0.372148 0.372148i
\(494\) 5.84232 4.06296i 0.262858 0.182801i
\(495\) 5.47508 14.3083i 0.246086 0.643111i
\(496\) −19.6767 16.9457i −0.883508 0.760886i
\(497\) 16.8934 + 16.8934i 0.757771 + 0.757771i
\(498\) −17.2745 6.00347i −0.774087 0.269022i
\(499\) 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 \(-0.472853\pi\)
0.996365 0.0851818i \(-0.0271471\pi\)
\(504\) 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
\(507\) 10.9681 + 15.0854i 0.487110 + 0.669964i
\(508\) 18.4180 8.44498i 0.817165 0.374685i
\(509\) 36.5584i 1.62042i −0.586138 0.810211i \(-0.699352\pi\)
0.586138 0.810211i \(-0.300648\pi\)
\(510\) 21.8391 + 8.88699i 0.967050 + 0.393522i
\(511\) −8.40310 −0.371731
\(512\) 0.653333 22.6180i 0.0288735 0.999583i
\(513\) 5.42570 + 16.6400i 0.239551 + 0.734676i
\(514\) 2.00519 + 2.88336i 0.0884453 + 0.127180i
\(515\) −5.38525 5.97648i −0.237303 0.263355i
\(516\) −2.79444 + 4.96989i −0.123018 + 0.218787i
\(517\) 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 \(-0.780788\pi\)
0.772089 0.635515i \(-0.219212\pi\)
\(522\) −10.1554 5.43256i −0.444488 0.237777i
\(523\) 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
\(525\) −7.23095 + 27.1037i −0.315584 + 1.18290i
\(526\) 20.8009 14.4657i 0.906963 0.630735i
\(527\) 19.7609 + 19.7609i 0.860800 + 0.860800i
\(528\) 15.7689 + 1.30077i 0.686255 + 0.0566088i
\(529\) 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
\(534\) 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
\(537\) 9.29412 + 12.7830i 0.401071 + 0.551627i
\(538\) −2.11501 + 11.7738i −0.0911844 + 0.507603i
\(539\) 7.97487i 0.343502i
\(540\) 2.14136 23.1390i 0.0921496 0.995745i
\(541\) 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
\(543\) 2.99581 + 4.12039i 0.128563 + 0.176823i
\(544\) −2.51125 + 24.2214i −0.107669 + 1.03849i
\(545\) −3.13805 0.163295i −0.134419 0.00699481i
\(546\) −5.16544 10.6682i −0.221060 0.456555i
\(547\) −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
\(552\) 16.2628 19.7061i 0.692192 0.838748i
\(553\) 18.9839 + 18.9839i 0.807279 + 0.807279i
\(554\) −21.0668 30.2929i −0.895041 1.28702i
\(555\) 12.3883 + 2.62398i 0.525855 + 0.111382i
\(556\) 1.60697 + 0.596593i 0.0681505 + 0.0253012i
\(557\) −9.36550 + 9.36550i −0.396829 + 0.396829i −0.877113 0.480284i \(-0.840534\pi\)
0.480284 + 0.877113i \(0.340534\pi\)
\(558\) 12.9919 24.2864i 0.549992 1.02813i
\(559\) 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 0.640288 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
\(567\) 28.7869 4.60008i 1.20894 0.193185i
\(568\) −10.6042 + 17.9654i −0.444944 + 0.753813i
\(569\) 23.6605 0.991898 0.495949 0.868352i \(-0.334820\pi\)
0.495949 + 0.868352i \(0.334820\pi\)
\(570\) 17.0003 7.16622i 0.712066 0.300160i
\(571\) 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
\(573\) 1.96823 + 2.70707i 0.0822240 + 0.113090i
\(574\) 28.2608 + 40.6375i 1.17958 + 1.69618i
\(575\) −20.2535 + 16.4258i −0.844630 + 0.685002i
\(576\) 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 \(0.319077\pi\)
\(578\) 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
\(582\) 3.18009 9.15043i 0.131819 0.379297i
\(583\) −13.3112 13.3112i −0.551292 0.551292i
\(584\) −1.83081 7.10557i −0.0757594 0.294030i
\(585\) −4.08575 9.15066i −0.168925 0.378333i
\(586\) −19.5788 28.1533i −0.808795 1.16300i
\(587\) 7.53359 7.53359i 0.310944 0.310944i −0.534331 0.845275i \(-0.679436\pi\)
0.845275 + 0.534331i \(0.179436\pi\)
\(588\) −3.26358 11.6479i −0.134588 0.480353i
\(589\) 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 −0.972457 0.233084i \(-0.925118\pi\)
0.233084 + 0.972457i \(0.425118\pi\)
\(594\) 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
\(597\) 18.8311 + 25.9000i 0.770705 + 1.06002i
\(598\) 1.94816 10.8449i 0.0796660 0.443483i
\(599\) 19.8681 0.811789 0.405895 0.913920i \(-0.366960\pi\)
0.405895 + 0.913920i \(0.366960\pi\)
\(600\) −24.4940 0.209239i −0.999964 0.00854217i
\(601\) −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
\(603\) 32.7391 16.7098i 1.33324 0.680476i
\(604\) 11.1770 + 4.14951i 0.454786 + 0.168841i
\(605\) −12.9167 0.672150i −0.525139 0.0273268i
\(606\) −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 \(0.417591\pi\)
\(608\) 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
\(612\) −25.6535 + 3.00080i −1.03698 + 0.121300i
\(613\) 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
\(615\) 22.8181 + 35.0819i 0.920113 + 1.41464i
\(616\) 20.2614 5.22053i 0.816356 0.210341i
\(617\) −3.33572 3.33572i −0.134291 0.134291i 0.636766 0.771057i \(-0.280272\pi\)
−0.771057 + 0.636766i \(0.780272\pi\)
\(618\) 8.32429 + 2.89298i 0.334852 + 0.116373i
\(619\) −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
\(624\) 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
\(627\) −10.7765 + 7.83524i −0.430371 + 0.312909i
\(628\) 1.89156 + 4.12538i 0.0754815 + 0.164620i
\(629\) 14.0748i 0.561201i
\(630\) −7.36992 29.8322i −0.293624 1.18854i
\(631\) −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
\(633\) −16.7759 23.0733i −0.666782 0.917082i
\(634\) −20.1441 + 14.0090i −0.800025 + 0.556367i
\(635\) 16.8291 15.1643i 0.667843 0.601776i
\(636\) −24.8894 13.9947i −0.986928 0.554924i
\(637\) −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 \(0.0838318\pi\)
−0.965519 + 0.260331i \(0.916168\pi\)
\(642\) −5.85458 + 16.8460i −0.231062 + 0.664860i
\(643\) −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
\(645\) −1.32091 + 6.23627i −0.0520106 + 0.245553i
\(646\) −11.7076 16.8349i −0.460630 0.662361i
\(647\) −19.2111 19.2111i −0.755268 0.755268i 0.220189 0.975457i \(-0.429332\pi\)
−0.975457 + 0.220189i \(0.929332\pi\)
\(648\) 10.1617 + 23.3397i 0.399188 + 0.916869i
\(649\) 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 0.819608 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
\(657\) 6.93204 3.53807i 0.270444 0.138033i
\(658\) 11.7174 + 2.10488i 0.456792 + 0.0820568i
\(659\) 33.0388i 1.28701i 0.765442 + 0.643505i \(0.222520\pi\)
−0.765442 + 0.643505i \(0.777480\pi\)
\(660\) 17.2591 3.88104i 0.671810 0.151069i
\(661\) 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
\(663\) −9.00901 + 6.55017i −0.349881 + 0.254388i
\(664\) −5.26891 20.4492i −0.204474 0.793584i
\(665\) 18.1240 16.3311i 0.702820 0.633292i
\(666\) −13.2759 + 4.02229i −0.514429 + 0.155860i
\(667\) −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
\(672\) 27.4570 15.9166i 1.05918 0.613998i
\(673\) 29.5487 + 29.5487i 1.13902 + 1.13902i 0.988627 + 0.150391i \(0.0480532\pi\)
0.150391 + 0.988627i \(0.451947\pi\)
\(674\) −3.34624 + 2.32710i −0.128892 + 0.0896365i
\(675\) −5.44674 25.4034i −0.209645 0.977778i
\(676\) −7.49565 + 20.1900i −0.288294 + 0.776540i
\(677\) 16.5034 16.5034i 0.634278 0.634278i −0.314860 0.949138i \(-0.601958\pi\)
0.949138 + 0.314860i \(0.101958\pi\)
\(678\) −15.1099 + 43.4773i −0.580291 + 1.66974i
\(679\) 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 0.686443 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
\(687\) −20.6379 + 15.0052i −0.787384 + 0.572482i
\(688\) −6.56545 + 0.489584i −0.250306 + 0.0186652i
\(689\) −12.3139 −0.469124
\(690\) 10.7670 26.4591i 0.409894 1.00728i
\(691\) 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
\(693\) 10.0888 + 19.7666i 0.383240 + 0.750872i
\(694\) 4.60967 3.20573i 0.174981 0.121688i
\(695\) 1.91387 + 0.0995927i 0.0725973 + 0.00377776i
\(696\) −1.26729 13.2383i −0.0480366 0.501797i
\(697\) 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 \(-0.222516\pi\)
0.765451 + 0.643495i \(0.222516\pi\)
\(702\) 8.75292 + 6.62570i 0.330358 + 0.250071i
\(703\) −7.78743 7.78743i −0.293709 0.293709i
\(704\) 8.82884 + 15.9954i 0.332749 + 0.602850i
\(705\) 9.84692 + 2.08568i 0.370856 + 0.0785512i
\(706\) 3.28646 2.28553i 0.123688 0.0860169i
\(707\) −20.4820 + 20.4820i −0.770306 + 0.770306i
\(708\) −6.92827 24.7275i −0.260380 0.929316i
\(709\) −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
\(714\) −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
\(717\) 34.2924 24.9329i 1.28067 0.931137i
\(718\) 18.0373 + 3.24017i 0.673146 + 0.120922i
\(719\) 36.9961 1.37972 0.689861 0.723942i \(-0.257672\pi\)
0.689861 + 0.723942i \(0.257672\pi\)
\(720\) 23.6201 12.7315i 0.880268 0.474477i
\(721\) 11.6536 0.434003
\(722\) 10.6545 + 1.91395i 0.396520 + 0.0712297i
\(723\) 10.0872 7.33405i 0.375145 0.272756i
\(724\) −2.04735 + 5.51468i −0.0760892 + 0.204952i
\(725\) −1.40879 + 13.4997i −0.0523213 + 0.501368i
\(726\) 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 \(0.487049\pi\)
\(728\) 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
\(732\) −8.38375 29.9222i −0.309872 1.10596i
\(733\) −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
\(735\) −7.37396 11.3372i −0.271993 0.418178i
\(736\) 29.3455 + 3.04250i 1.08169 + 0.112148i
\(737\) 19.7859 + 19.7859i 0.728824 + 0.728824i
\(738\) −40.4236 21.6244i −1.48801 0.796005i
\(739\) 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 −0.825510 0.564387i \(-0.809113\pi\)
0.564387 + 0.825510i \(0.309113\pi\)
\(744\) 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
\(747\) 19.9498 10.1823i 0.729925 0.372549i
\(748\) −8.19506 17.8729i −0.299641 0.653499i
\(749\) 23.5836i 0.861727i
\(750\) −26.2035 + 7.96094i −0.956817 + 0.290692i
\(751\) −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
\(753\) −24.6207 + 17.9009i −0.897227 + 0.652346i
\(754\) −3.27445 4.70848i −0.119248 0.171473i
\(755\) 13.3116 + 0.692702i 0.484460 + 0.0252100i
\(756\) 22.8246 + 24.7421i 0.830122 + 0.899861i
\(757\) −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 \(-0.732155\pi\)
0.666376 0.745616i \(-0.267845\pi\)
\(762\) −8.14630 + 23.4403i −0.295109 + 0.849152i
\(763\) 3.21866 3.21866i 0.116523 0.116523i
\(764\) −1.34510 + 3.62311i −0.0486639 + 0.131080i
\(765\) −26.3681 + 11.7733i −0.953339 + 0.425664i
\(766\) 18.2421 12.6862i 0.659115 0.458372i
\(767\) −7.83080 7.83080i −0.282754 0.282754i
\(768\) 19.4411 + 19.7496i 0.701519 + 0.712651i
\(769\) 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 \(-0.912133\pi\)
−0.272551 0.962141i