Properties

Label 273.2.cd.e.44.1
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.1
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.69539 + 0.722228i) q^{2} +(1.57685 + 0.716628i) q^{3} +(5.01147 - 2.89338i) q^{4} +(1.51996 - 0.407273i) q^{5} +(-4.76779 - 0.792751i) q^{6} +(-0.780863 + 2.52790i) q^{7} +(-7.47188 + 7.47188i) q^{8} +(1.97289 + 2.26003i) q^{9} +O(q^{10})\) \(q+(-2.69539 + 0.722228i) q^{2} +(1.57685 + 0.716628i) q^{3} +(5.01147 - 2.89338i) q^{4} +(1.51996 - 0.407273i) q^{5} +(-4.76779 - 0.792751i) q^{6} +(-0.780863 + 2.52790i) q^{7} +(-7.47188 + 7.47188i) q^{8} +(1.97289 + 2.26003i) q^{9} +(-3.80275 + 2.19552i) q^{10} +(0.998206 + 0.267468i) q^{11} +(9.97580 - 0.971045i) q^{12} +(-0.226763 - 3.59841i) q^{13} +(0.279015 - 7.37763i) q^{14} +(2.68861 + 0.447041i) q^{15} +(8.95650 - 15.5131i) q^{16} +(2.22855 + 3.85997i) q^{17} +(-6.94996 - 4.66678i) q^{18} +(0.324326 + 1.21040i) q^{19} +(6.43886 - 6.43886i) q^{20} +(-3.04286 + 3.42651i) q^{21} -2.88373 q^{22} +(0.753131 - 1.30446i) q^{23} +(-17.1366 + 6.42745i) q^{24} +(-2.18571 + 1.26192i) q^{25} +(3.21009 + 9.53536i) q^{26} +(1.49134 + 4.97754i) q^{27} +(3.40088 + 14.9278i) q^{28} -5.07947i q^{29} +(-7.56972 + 0.736837i) q^{30} +(3.60020 + 0.964669i) q^{31} +(-7.46748 + 27.8690i) q^{32} +(1.38234 + 1.13710i) q^{33} +(-8.79461 - 8.79461i) q^{34} +(-0.157339 + 4.16033i) q^{35} +(16.4262 + 5.61775i) q^{36} +(0.748788 - 0.200637i) q^{37} +(-1.74837 - 3.02827i) q^{38} +(2.22115 - 5.83665i) q^{39} +(-8.31389 + 14.4001i) q^{40} +(-2.06122 - 2.06122i) q^{41} +(5.72698 - 11.4334i) q^{42} +9.19559i q^{43} +(5.77637 - 1.54777i) q^{44} +(3.91916 + 2.63165i) q^{45} +(-1.08786 + 4.05997i) q^{46} +(-0.858089 - 3.20243i) q^{47} +(25.2402 - 18.0433i) q^{48} +(-5.78051 - 3.94788i) q^{49} +(4.97996 - 4.97996i) q^{50} +(0.747925 + 7.68363i) q^{51} +(-11.5480 - 17.3772i) q^{52} +(-0.565295 + 0.326373i) q^{53} +(-7.61467 - 12.3393i) q^{54} +1.62617 q^{55} +(-13.0536 - 24.7227i) q^{56} +(-0.355996 + 2.14104i) q^{57} +(3.66853 + 13.6912i) q^{58} +(2.19984 + 0.589447i) q^{59} +(14.7674 - 5.53882i) q^{60} +(-0.158868 + 0.275168i) q^{61} -10.4006 q^{62} +(-7.25366 + 3.22248i) q^{63} -44.6851i q^{64} +(-1.81021 - 5.37710i) q^{65} +(-4.54720 - 2.06656i) q^{66} +(-1.66743 - 0.446788i) q^{67} +(22.3367 + 12.8961i) q^{68} +(2.12238 - 1.51722i) q^{69} +(-2.58061 - 11.3274i) q^{70} +(2.88966 + 2.88966i) q^{71} +(-31.6278 - 2.14546i) q^{72} +(0.832602 - 3.10731i) q^{73} +(-1.87337 + 1.08159i) q^{74} +(-4.35086 + 0.423513i) q^{75} +(5.12750 + 5.12750i) q^{76} +(-1.45559 + 2.31450i) q^{77} +(-1.77149 + 17.3362i) q^{78} +(5.46718 - 9.46944i) q^{79} +(7.29547 - 27.2271i) q^{80} +(-1.21543 + 8.91755i) q^{81} +(7.04445 + 4.06712i) q^{82} +(-3.87667 - 3.87667i) q^{83} +(-5.33503 + 25.9760i) q^{84} +(4.95938 + 4.95938i) q^{85} +(-6.64131 - 24.7857i) q^{86} +(3.64009 - 8.00954i) q^{87} +(-9.45697 + 5.45999i) q^{88} +(-4.28583 - 15.9949i) q^{89} +(-12.4643 - 4.26280i) q^{90} +(9.27348 + 2.23663i) q^{91} -8.71636i q^{92} +(4.98564 + 4.10114i) q^{93} +(4.62577 + 8.01208i) q^{94} +(0.985928 + 1.70768i) q^{95} +(-31.7468 + 38.5937i) q^{96} +(6.36370 - 6.36370i) q^{97} +(18.4320 + 6.46624i) q^{98} +(1.36486 + 2.78366i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.69539 + 0.722228i −1.90593 + 0.510692i −0.910709 + 0.413049i \(0.864464\pi\)
−0.995222 + 0.0976430i \(0.968870\pi\)
\(3\) 1.57685 + 0.716628i 0.910393 + 0.413746i
\(4\) 5.01147 2.89338i 2.50574 1.44669i
\(5\) 1.51996 0.407273i 0.679748 0.182138i 0.0976059 0.995225i \(-0.468882\pi\)
0.582142 + 0.813087i \(0.302215\pi\)
\(6\) −4.76779 0.792751i −1.94644 0.323639i
\(7\) −0.780863 + 2.52790i −0.295138 + 0.955455i
\(8\) −7.47188 + 7.47188i −2.64171 + 2.64171i
\(9\) 1.97289 + 2.26003i 0.657629 + 0.753342i
\(10\) −3.80275 + 2.19552i −1.20254 + 0.694284i
\(11\) 0.998206 + 0.267468i 0.300970 + 0.0806448i 0.406144 0.913809i \(-0.366873\pi\)
−0.105174 + 0.994454i \(0.533540\pi\)
\(12\) 9.97580 0.971045i 2.87977 0.280317i
\(13\) −0.226763 3.59841i −0.0628929 0.998020i
\(14\) 0.279015 7.37763i 0.0745698 1.97175i
\(15\) 2.68861 + 0.447041i 0.694196 + 0.115426i
\(16\) 8.95650 15.5131i 2.23913 3.87828i
\(17\) 2.22855 + 3.85997i 0.540504 + 0.936180i 0.998875 + 0.0474194i \(0.0150997\pi\)
−0.458371 + 0.888761i \(0.651567\pi\)
\(18\) −6.94996 4.66678i −1.63812 1.09997i
\(19\) 0.324326 + 1.21040i 0.0744056 + 0.277685i 0.993098 0.117289i \(-0.0374203\pi\)
−0.918692 + 0.394974i \(0.870754\pi\)
\(20\) 6.43886 6.43886i 1.43977 1.43977i
\(21\) −3.04286 + 3.42651i −0.664007 + 0.747727i
\(22\) −2.88373 −0.614813
\(23\) 0.753131 1.30446i 0.157039 0.271999i −0.776761 0.629796i \(-0.783139\pi\)
0.933799 + 0.357797i \(0.116472\pi\)
\(24\) −17.1366 + 6.42745i −3.49799 + 1.31200i
\(25\) −2.18571 + 1.26192i −0.437143 + 0.252384i
\(26\) 3.21009 + 9.53536i 0.629551 + 1.87004i
\(27\) 1.49134 + 4.97754i 0.287009 + 0.957928i
\(28\) 3.40088 + 14.9278i 0.642705 + 2.82109i
\(29\) 5.07947i 0.943233i −0.881804 0.471617i \(-0.843671\pi\)
0.881804 0.471617i \(-0.156329\pi\)
\(30\) −7.56972 + 0.736837i −1.38204 + 0.134527i
\(31\) 3.60020 + 0.964669i 0.646614 + 0.173260i 0.567198 0.823582i \(-0.308028\pi\)
0.0794166 + 0.996842i \(0.474694\pi\)
\(32\) −7.46748 + 27.8690i −1.32008 + 4.92659i
\(33\) 1.38234 + 1.13710i 0.240635 + 0.197944i
\(34\) −8.79461 8.79461i −1.50826 1.50826i
\(35\) −0.157339 + 4.16033i −0.0265952 + 0.703224i
\(36\) 16.4262 + 5.61775i 2.73770 + 0.936292i
\(37\) 0.748788 0.200637i 0.123100 0.0329845i −0.196743 0.980455i \(-0.563036\pi\)
0.319843 + 0.947471i \(0.396370\pi\)
\(38\) −1.74837 3.02827i −0.283624 0.491251i
\(39\) 2.22115 5.83665i 0.355669 0.934612i
\(40\) −8.31389 + 14.4001i −1.31454 + 2.27685i
\(41\) −2.06122 2.06122i −0.321908 0.321908i 0.527591 0.849499i \(-0.323095\pi\)
−0.849499 + 0.527591i \(0.823095\pi\)
\(42\) 5.72698 11.4334i 0.883692 1.76422i
\(43\) 9.19559i 1.40231i 0.713007 + 0.701157i \(0.247333\pi\)
−0.713007 + 0.701157i \(0.752667\pi\)
\(44\) 5.77637 1.54777i 0.870821 0.233336i
\(45\) 3.91916 + 2.63165i 0.584234 + 0.392303i
\(46\) −1.08786 + 4.05997i −0.160397 + 0.598609i
\(47\) −0.858089 3.20243i −0.125165 0.467123i 0.874680 0.484700i \(-0.161071\pi\)
−0.999846 + 0.0175774i \(0.994405\pi\)
\(48\) 25.2402 18.0433i 3.64310 2.60433i
\(49\) −5.78051 3.94788i −0.825787 0.563983i
\(50\) 4.97996 4.97996i 0.704273 0.704273i
\(51\) 0.747925 + 7.68363i 0.104730 + 1.07592i
\(52\) −11.5480 17.3772i −1.60142 2.40979i
\(53\) −0.565295 + 0.326373i −0.0776492 + 0.0448308i −0.538322 0.842739i \(-0.680942\pi\)
0.460673 + 0.887570i \(0.347608\pi\)
\(54\) −7.61467 12.3393i −1.03623 1.67917i
\(55\) 1.62617 0.219272
\(56\) −13.0536 24.7227i −1.74436 3.30370i
\(57\) −0.355996 + 2.14104i −0.0471528 + 0.283588i
\(58\) 3.66853 + 13.6912i 0.481702 + 1.79774i
\(59\) 2.19984 + 0.589447i 0.286395 + 0.0767394i 0.399157 0.916883i \(-0.369303\pi\)
−0.112761 + 0.993622i \(0.535970\pi\)
\(60\) 14.7674 5.53882i 1.90646 0.715059i
\(61\) −0.158868 + 0.275168i −0.0203410 + 0.0352316i −0.876017 0.482281i \(-0.839809\pi\)
0.855676 + 0.517512i \(0.173142\pi\)
\(62\) −10.4006 −1.32088
\(63\) −7.25366 + 3.22248i −0.913875 + 0.405995i
\(64\) 44.6851i 5.58564i
\(65\) −1.81021 5.37710i −0.224529 0.666947i
\(66\) −4.54720 2.06656i −0.559721 0.254376i
\(67\) −1.66743 0.446788i −0.203710 0.0545838i 0.155521 0.987833i \(-0.450294\pi\)
−0.359231 + 0.933249i \(0.616961\pi\)
\(68\) 22.3367 + 12.8961i 2.70872 + 1.56388i
\(69\) 2.12238 1.51722i 0.255505 0.182652i
\(70\) −2.58061 11.3274i −0.308442 1.35388i
\(71\) 2.88966 + 2.88966i 0.342940 + 0.342940i 0.857471 0.514532i \(-0.172034\pi\)
−0.514532 + 0.857471i \(0.672034\pi\)
\(72\) −31.6278 2.14546i −3.72738 0.252844i
\(73\) 0.832602 3.10731i 0.0974486 0.363683i −0.899931 0.436033i \(-0.856383\pi\)
0.997379 + 0.0723497i \(0.0230498\pi\)
\(74\) −1.87337 + 1.08159i −0.217775 + 0.125732i
\(75\) −4.35086 + 0.423513i −0.502394 + 0.0489031i
\(76\) 5.12750 + 5.12750i 0.588165 + 0.588165i
\(77\) −1.45559 + 2.31450i −0.165880 + 0.263762i
\(78\) −1.77149 + 17.3362i −0.200581 + 1.96294i
\(79\) 5.46718 9.46944i 0.615106 1.06540i −0.375260 0.926920i \(-0.622446\pi\)
0.990366 0.138475i \(-0.0442202\pi\)
\(80\) 7.29547 27.2271i 0.815659 3.04408i
\(81\) −1.21543 + 8.91755i −0.135047 + 0.990839i
\(82\) 7.04445 + 4.06712i 0.777930 + 0.449138i
\(83\) −3.87667 3.87667i −0.425520 0.425520i 0.461579 0.887099i \(-0.347283\pi\)
−0.887099 + 0.461579i \(0.847283\pi\)
\(84\) −5.33503 + 25.9760i −0.582100 + 2.83422i
\(85\) 4.95938 + 4.95938i 0.537920 + 0.537920i
\(86\) −6.64131 24.7857i −0.716151 2.67271i
\(87\) 3.64009 8.00954i 0.390259 0.858713i
\(88\) −9.45697 + 5.45999i −1.00812 + 0.582036i
\(89\) −4.28583 15.9949i −0.454297 1.69546i −0.690148 0.723669i \(-0.742454\pi\)
0.235851 0.971789i \(-0.424212\pi\)
\(90\) −12.4643 4.26280i −1.31386 0.449338i
\(91\) 9.27348 + 2.23663i 0.972125 + 0.234463i
\(92\) 8.71636i 0.908744i
\(93\) 4.98564 + 4.10114i 0.516987 + 0.425268i
\(94\) 4.62577 + 8.01208i 0.477112 + 0.826383i
\(95\) 0.985928 + 1.70768i 0.101154 + 0.175204i
\(96\) −31.7468 + 38.5937i −3.24014 + 3.93896i
\(97\) 6.36370 6.36370i 0.646135 0.646135i −0.305921 0.952057i \(-0.598964\pi\)
0.952057 + 0.305921i \(0.0989645\pi\)
\(98\) 18.4320 + 6.46624i 1.86191 + 0.653189i
\(99\) 1.36486 + 2.78366i 0.137174 + 0.279768i
\(100\) −7.30243 + 12.6482i −0.730243 + 1.26482i
\(101\) 4.27842 + 7.41044i 0.425719 + 0.737367i 0.996487 0.0837443i \(-0.0266879\pi\)
−0.570768 + 0.821111i \(0.693355\pi\)
\(102\) −7.56528 20.1702i −0.749074 1.99715i
\(103\) 0.869625 + 0.502078i 0.0856867 + 0.0494713i 0.542231 0.840229i \(-0.317580\pi\)
−0.456544 + 0.889701i \(0.650913\pi\)
\(104\) 28.5813 + 25.1926i 2.80262 + 2.47034i
\(105\) −3.22951 + 6.44744i −0.315168 + 0.629206i
\(106\) 1.28798 1.28798i 0.125099 0.125099i
\(107\) −9.08095 5.24289i −0.877888 0.506849i −0.00792675 0.999969i \(-0.502523\pi\)
−0.869962 + 0.493120i \(0.835857\pi\)
\(108\) 21.8757 + 20.6298i 2.10499 + 1.98510i
\(109\) −6.88195 1.84401i −0.659172 0.176625i −0.0862995 0.996269i \(-0.527504\pi\)
−0.572872 + 0.819645i \(0.694171\pi\)
\(110\) −4.38316 + 1.17446i −0.417918 + 0.111981i
\(111\) 1.32451 + 0.220229i 0.125717 + 0.0209032i
\(112\) 32.2217 + 34.7547i 3.04467 + 3.28401i
\(113\) 8.65584i 0.814273i −0.913367 0.407137i \(-0.866527\pi\)
0.913367 0.407137i \(-0.133473\pi\)
\(114\) −0.586771 6.02805i −0.0549561 0.564579i
\(115\) 0.613459 2.28946i 0.0572053 0.213493i
\(116\) −14.6968 25.4556i −1.36456 2.36349i
\(117\) 7.68513 7.61176i 0.710490 0.703707i
\(118\) −6.35516 −0.585040
\(119\) −11.4978 + 2.61945i −1.05400 + 0.240124i
\(120\) −23.4292 + 16.7487i −2.13879 + 1.52894i
\(121\) −8.60140 4.96602i −0.781946 0.451457i
\(122\) 0.229478 0.856424i 0.0207760 0.0775369i
\(123\) −1.77310 4.72735i −0.159875 0.426250i
\(124\) 20.8334 5.58230i 1.87090 0.501306i
\(125\) −8.37170 + 8.37170i −0.748788 + 0.748788i
\(126\) 17.2241 13.9247i 1.53444 1.24051i
\(127\) 3.56712i 0.316531i −0.987397 0.158265i \(-0.949410\pi\)
0.987397 0.158265i \(-0.0505901\pi\)
\(128\) 17.3379 + 64.7059i 1.53247 + 5.71925i
\(129\) −6.58982 + 14.5000i −0.580201 + 1.27666i
\(130\) 8.76271 + 13.1860i 0.768540 + 1.15649i
\(131\) −3.57752 2.06548i −0.312569 0.180462i 0.335506 0.942038i \(-0.391093\pi\)
−0.648076 + 0.761576i \(0.724426\pi\)
\(132\) 10.2176 + 1.69891i 0.889330 + 0.147871i
\(133\) −3.31303 0.125295i −0.287276 0.0108645i
\(134\) 4.81707 0.416132
\(135\) 4.29400 + 6.95829i 0.369569 + 0.598874i
\(136\) −45.4928 12.1897i −3.90097 1.04526i
\(137\) −15.4754 4.14663i −1.32216 0.354270i −0.472370 0.881400i \(-0.656602\pi\)
−0.849785 + 0.527130i \(0.823268\pi\)
\(138\) −4.62488 + 5.62235i −0.393696 + 0.478606i
\(139\) −13.2575 −1.12448 −0.562242 0.826973i \(-0.690061\pi\)
−0.562242 + 0.826973i \(0.690061\pi\)
\(140\) 11.2489 + 21.3046i 0.950705 + 1.80057i
\(141\) 0.941879 5.66467i 0.0793205 0.477052i
\(142\) −9.87576 5.70177i −0.828756 0.478482i
\(143\) 0.736105 3.65261i 0.0615562 0.305447i
\(144\) 52.7302 10.3637i 4.39418 0.863643i
\(145\) −2.06873 7.72060i −0.171798 0.641161i
\(146\) 8.97675i 0.742921i
\(147\) −6.28581 10.3677i −0.518445 0.855111i
\(148\) 3.17201 3.17201i 0.260738 0.260738i
\(149\) 17.1820 4.60389i 1.40760 0.377166i 0.526533 0.850155i \(-0.323492\pi\)
0.881068 + 0.472989i \(0.156825\pi\)
\(150\) 11.4214 4.28385i 0.932554 0.349775i
\(151\) 5.22897 19.5148i 0.425527 1.58809i −0.337241 0.941418i \(-0.609494\pi\)
0.762769 0.646672i \(-0.223840\pi\)
\(152\) −11.4673 6.62066i −0.930122 0.537006i
\(153\) −4.32694 + 12.6519i −0.349812 + 1.02284i
\(154\) 2.25180 7.28977i 0.181455 0.587426i
\(155\) 5.86504 0.471092
\(156\) −5.75637 35.6769i −0.460878 2.85643i
\(157\) −3.30475 5.72399i −0.263748 0.456824i 0.703487 0.710708i \(-0.251625\pi\)
−0.967235 + 0.253884i \(0.918292\pi\)
\(158\) −7.89711 + 29.4724i −0.628260 + 2.34470i
\(159\) −1.12527 + 0.109534i −0.0892398 + 0.00868661i
\(160\) 45.4011i 3.58927i
\(161\) 2.70945 + 2.92244i 0.213534 + 0.230321i
\(162\) −3.16446 24.9141i −0.248623 1.95744i
\(163\) 22.3084 5.97753i 1.74733 0.468196i 0.763278 0.646070i \(-0.223588\pi\)
0.984053 + 0.177874i \(0.0569218\pi\)
\(164\) −16.2936 4.36586i −1.27232 0.340916i
\(165\) 2.56422 + 1.16536i 0.199624 + 0.0907230i
\(166\) 13.2490 + 7.64930i 1.02832 + 0.593701i
\(167\) −8.32656 + 8.32656i −0.644329 + 0.644329i −0.951617 0.307288i \(-0.900579\pi\)
0.307288 + 0.951617i \(0.400579\pi\)
\(168\) −2.86660 48.3384i −0.221163 3.72939i
\(169\) −12.8972 + 1.63198i −0.992089 + 0.125537i
\(170\) −16.9493 9.78567i −1.29995 0.750526i
\(171\) −2.09568 + 3.12097i −0.160261 + 0.238667i
\(172\) 26.6063 + 46.0835i 2.02871 + 3.51383i
\(173\) 4.94907 8.57204i 0.376271 0.651720i −0.614246 0.789115i \(-0.710540\pi\)
0.990516 + 0.137395i \(0.0438729\pi\)
\(174\) −4.02675 + 24.2178i −0.305267 + 1.83595i
\(175\) −1.48326 6.51064i −0.112124 0.492158i
\(176\) 13.0897 13.0897i 0.986673 0.986673i
\(177\) 3.04640 + 2.50594i 0.228982 + 0.188358i
\(178\) 23.1040 + 40.0172i 1.73172 + 2.99942i
\(179\) 7.57451 + 13.1194i 0.566145 + 0.980592i 0.996942 + 0.0781434i \(0.0248992\pi\)
−0.430797 + 0.902449i \(0.641767\pi\)
\(180\) 27.2551 + 1.84884i 2.03148 + 0.137804i
\(181\) 3.03128i 0.225314i 0.993634 + 0.112657i \(0.0359361\pi\)
−0.993634 + 0.112657i \(0.964064\pi\)
\(182\) −26.6110 + 0.668967i −1.97254 + 0.0495871i
\(183\) −0.447703 + 0.320048i −0.0330952 + 0.0236586i
\(184\) 4.11947 + 15.3741i 0.303692 + 1.13339i
\(185\) 1.05642 0.609922i 0.0776692 0.0448423i
\(186\) −16.4002 7.45340i −1.20252 0.546510i
\(187\) 1.19214 + 4.44911i 0.0871776 + 0.325351i
\(188\) −13.5661 13.5661i −0.989412 0.989412i
\(189\) −13.7472 0.116817i −0.999964 0.00849717i
\(190\) −3.89079 3.89079i −0.282268 0.282268i
\(191\) 9.40638 + 5.43078i 0.680622 + 0.392957i 0.800089 0.599881i \(-0.204785\pi\)
−0.119467 + 0.992838i \(0.538119\pi\)
\(192\) 32.0226 70.4615i 2.31103 5.08512i
\(193\) 3.09490 11.5503i 0.222776 0.831411i −0.760508 0.649329i \(-0.775050\pi\)
0.983283 0.182082i \(-0.0582836\pi\)
\(194\) −12.5566 + 21.7487i −0.901512 + 1.56147i
\(195\) 0.998962 9.77610i 0.0715371 0.700081i
\(196\) −40.3916 3.05951i −2.88511 0.218537i
\(197\) −6.89238 6.89238i −0.491062 0.491062i 0.417579 0.908641i \(-0.362879\pi\)
−0.908641 + 0.417579i \(0.862879\pi\)
\(198\) −5.68928 6.51730i −0.404319 0.463164i
\(199\) −14.6511 + 8.45883i −1.03859 + 0.599631i −0.919434 0.393245i \(-0.871353\pi\)
−0.119157 + 0.992875i \(0.538019\pi\)
\(200\) 6.90246 25.7603i 0.488078 1.82153i
\(201\) −2.30911 1.89945i −0.162872 0.133977i
\(202\) −16.8841 16.8841i −1.18796 1.18796i
\(203\) 12.8404 + 3.96637i 0.901216 + 0.278384i
\(204\) 25.9798 + 36.3423i 1.81895 + 2.54447i
\(205\) −3.97245 2.29349i −0.277448 0.160185i
\(206\) −2.70660 0.725230i −0.188578 0.0505292i
\(207\) 4.43396 0.871460i 0.308181 0.0605707i
\(208\) −57.8536 28.7114i −4.01143 1.99078i
\(209\) 1.29498i 0.0895755i
\(210\) 4.04827 19.7108i 0.279357 1.36018i
\(211\) −4.64950 −0.320085 −0.160042 0.987110i \(-0.551163\pi\)
−0.160042 + 0.987110i \(0.551163\pi\)
\(212\) −1.88864 + 3.27122i −0.129712 + 0.224668i
\(213\) 2.48574 + 6.62736i 0.170320 + 0.454099i
\(214\) 28.2633 + 7.57312i 1.93204 + 0.517688i
\(215\) 3.74511 + 13.9769i 0.255415 + 0.953220i
\(216\) −48.3347 26.0485i −3.28876 1.77237i
\(217\) −5.24984 + 8.34764i −0.356382 + 0.566675i
\(218\) 19.8814 1.34654
\(219\) 3.53967 4.30309i 0.239189 0.290776i
\(220\) 8.14950 4.70511i 0.549439 0.317219i
\(221\) 13.3844 8.89456i 0.900333 0.598313i
\(222\) −3.72912 + 0.362993i −0.250282 + 0.0243625i
\(223\) 7.54802 7.54802i 0.505453 0.505453i −0.407674 0.913127i \(-0.633660\pi\)
0.913127 + 0.407674i \(0.133660\pi\)
\(224\) −64.6188 40.6389i −4.31753 2.71530i
\(225\) −7.16414 2.45014i −0.477610 0.163342i
\(226\) 6.25149 + 23.3309i 0.415843 + 1.55195i
\(227\) 2.28639 8.53292i 0.151753 0.566350i −0.847609 0.530622i \(-0.821958\pi\)
0.999362 0.0357279i \(-0.0113750\pi\)
\(228\) 4.41077 + 11.7598i 0.292110 + 0.778812i
\(229\) −19.8595 + 5.32134i −1.31235 + 0.351644i −0.846108 0.533012i \(-0.821060\pi\)
−0.466245 + 0.884656i \(0.654394\pi\)
\(230\) 6.61405i 0.436118i
\(231\) −3.95389 + 2.60650i −0.260147 + 0.171495i
\(232\) 37.9532 + 37.9532i 2.49175 + 2.49175i
\(233\) 10.7918 18.6920i 0.706996 1.22455i −0.258971 0.965885i \(-0.583383\pi\)
0.965966 0.258667i \(-0.0832833\pi\)
\(234\) −15.2170 + 26.0671i −0.994767 + 1.70406i
\(235\) −2.60853 4.51810i −0.170161 0.294728i
\(236\) 12.7300 3.41098i 0.828650 0.222036i
\(237\) 15.4070 11.0139i 1.00079 0.715430i
\(238\) 29.0992 15.3645i 1.88622 0.995930i
\(239\) 5.53458 + 5.53458i 0.358003 + 0.358003i 0.863076 0.505074i \(-0.168535\pi\)
−0.505074 + 0.863076i \(0.668535\pi\)
\(240\) 31.0155 37.7048i 2.00204 2.43383i
\(241\) −5.32614 + 19.8774i −0.343087 + 1.28042i 0.551744 + 0.834014i \(0.313963\pi\)
−0.894831 + 0.446405i \(0.852704\pi\)
\(242\) 26.7708 + 7.17320i 1.72089 + 0.461111i
\(243\) −8.30711 + 13.1906i −0.532901 + 0.846177i
\(244\) 1.83866i 0.117708i
\(245\) −10.3940 3.64638i −0.664049 0.232959i
\(246\) 8.19341 + 11.4615i 0.522393 + 0.730757i
\(247\) 4.28198 1.44154i 0.272456 0.0917227i
\(248\) −34.1081 + 19.6923i −2.16587 + 1.25047i
\(249\) −3.33478 8.89104i −0.211333 0.563447i
\(250\) 16.5187 28.6113i 1.04474 1.80954i
\(251\) −1.61907 −0.102195 −0.0510973 0.998694i \(-0.516272\pi\)
−0.0510973 + 0.998694i \(0.516272\pi\)
\(252\) −27.0277 + 37.1370i −1.70258 + 2.33941i
\(253\) 1.10068 1.10068i 0.0691993 0.0691993i
\(254\) 2.57627 + 9.61479i 0.161650 + 0.603285i
\(255\) 4.26615 + 11.3742i 0.267156 + 0.712281i
\(256\) −48.7797 84.4889i −3.04873 5.28056i
\(257\) −14.9090 + 25.8231i −0.929996 + 1.61080i −0.146672 + 0.989185i \(0.546856\pi\)
−0.783323 + 0.621614i \(0.786477\pi\)
\(258\) 7.28982 43.8426i 0.453844 2.72952i
\(259\) −0.0775111 + 2.04953i −0.00481630 + 0.127351i
\(260\) −24.6298 21.7096i −1.52747 1.34637i
\(261\) 11.4797 10.0212i 0.710577 0.620298i
\(262\) 11.1346 + 2.98350i 0.687896 + 0.184321i
\(263\) 3.55438 2.05212i 0.219172 0.126539i −0.386395 0.922334i \(-0.626280\pi\)
0.605567 + 0.795794i \(0.292946\pi\)
\(264\) −18.8250 + 1.83242i −1.15860 + 0.112778i
\(265\) −0.726304 + 0.726304i −0.0446165 + 0.0446165i
\(266\) 9.02039 2.05504i 0.553076 0.126003i
\(267\) 4.70432 28.2929i 0.287900 1.73150i
\(268\) −9.64903 + 2.58545i −0.589408 + 0.157932i
\(269\) 19.5170 11.2681i 1.18997 0.687030i 0.231671 0.972794i \(-0.425581\pi\)
0.958300 + 0.285765i \(0.0922475\pi\)
\(270\) −16.5995 15.6541i −1.01021 0.952676i
\(271\) 19.0846 5.11370i 1.15931 0.310635i 0.372617 0.927985i \(-0.378461\pi\)
0.786688 + 0.617350i \(0.211794\pi\)
\(272\) 79.8402 4.84102
\(273\) 13.0200 + 10.1725i 0.788008 + 0.615666i
\(274\) 44.7072 2.70086
\(275\) −2.51932 + 0.675049i −0.151921 + 0.0407070i
\(276\) 6.24639 13.7444i 0.375989 0.827313i
\(277\) −16.1557 + 9.32749i −0.970701 + 0.560435i −0.899450 0.437024i \(-0.856033\pi\)
−0.0712513 + 0.997458i \(0.522699\pi\)
\(278\) 35.7341 9.57492i 2.14319 0.574266i
\(279\) 4.92260 + 10.0397i 0.294709 + 0.601062i
\(280\) −29.9099 32.2611i −1.78746 1.92797i
\(281\) −12.9394 + 12.9394i −0.771897 + 0.771897i −0.978438 0.206541i \(-0.933779\pi\)
0.206541 + 0.978438i \(0.433779\pi\)
\(282\) 1.55245 + 15.9488i 0.0924473 + 0.949736i
\(283\) −8.84233 + 5.10512i −0.525622 + 0.303468i −0.739232 0.673451i \(-0.764811\pi\)
0.213610 + 0.976919i \(0.431478\pi\)
\(284\) 22.8423 + 6.12058i 1.35544 + 0.363190i
\(285\) 0.330887 + 3.39929i 0.0196000 + 0.201356i
\(286\) 0.653924 + 10.3769i 0.0386674 + 0.613596i
\(287\) 6.82006 3.60101i 0.402576 0.212561i
\(288\) −77.7171 + 38.1057i −4.57953 + 2.24540i
\(289\) −1.43291 + 2.48188i −0.0842891 + 0.145993i
\(290\) 11.1521 + 19.3159i 0.654872 + 1.13427i
\(291\) 14.5950 5.47417i 0.855573 0.320901i
\(292\) −4.81806 17.9812i −0.281956 1.05227i
\(293\) −17.3681 + 17.3681i −1.01465 + 1.01465i −0.0147614 + 0.999891i \(0.504699\pi\)
−0.999891 + 0.0147614i \(0.995301\pi\)
\(294\) 24.4305 + 23.4052i 1.42482 + 1.36502i
\(295\) 3.58375 0.208654
\(296\) −4.09572 + 7.09399i −0.238059 + 0.412330i
\(297\) 0.157333 + 5.36750i 0.00912936 + 0.311454i
\(298\) −42.9871 + 24.8186i −2.49017 + 1.43770i
\(299\) −4.86477 2.41427i −0.281337 0.139621i
\(300\) −20.5789 + 14.7111i −1.18812 + 0.849346i
\(301\) −23.2455 7.18049i −1.33985 0.413877i
\(302\) 56.3765i 3.24410i
\(303\) 1.43588 + 14.7512i 0.0824891 + 0.847433i
\(304\) 21.6819 + 5.80966i 1.24354 + 0.333207i
\(305\) −0.129405 + 0.482947i −0.00740972 + 0.0276535i
\(306\) 2.52526 37.2268i 0.144359 2.12812i
\(307\) 17.7177 + 17.7177i 1.01120 + 1.01120i 0.999937 + 0.0112673i \(0.00358656\pi\)
0.0112673 + 0.999937i \(0.496413\pi\)
\(308\) −0.597943 + 15.8107i −0.0340710 + 0.900896i
\(309\) 1.01146 + 1.41490i 0.0575401 + 0.0804908i
\(310\) −15.8086 + 4.23590i −0.897868 + 0.240583i
\(311\) 10.9972 + 19.0478i 0.623595 + 1.08010i 0.988811 + 0.149176i \(0.0476620\pi\)
−0.365215 + 0.930923i \(0.619005\pi\)
\(312\) 27.0146 + 60.2070i 1.52940 + 3.40855i
\(313\) −13.1951 + 22.8546i −0.745832 + 1.29182i 0.203973 + 0.978976i \(0.434614\pi\)
−0.949805 + 0.312842i \(0.898719\pi\)
\(314\) 13.0416 + 13.0416i 0.735981 + 0.735981i
\(315\) −9.71286 + 7.85227i −0.547258 + 0.442425i
\(316\) 63.2745i 3.55947i
\(317\) −1.84886 + 0.495400i −0.103842 + 0.0278244i −0.310366 0.950617i \(-0.600452\pi\)
0.206524 + 0.978442i \(0.433785\pi\)
\(318\) 2.95394 1.10794i 0.165649 0.0621302i
\(319\) 1.35860 5.07035i 0.0760668 0.283885i
\(320\) −18.1990 67.9197i −1.01736 3.79682i
\(321\) −10.5621 14.7749i −0.589516 0.824654i
\(322\) −9.41369 5.92028i −0.524605 0.329924i
\(323\) −3.94934 + 3.94934i −0.219747 + 0.219747i
\(324\) 19.7108 + 48.2068i 1.09504 + 2.67815i
\(325\) 5.03656 + 7.57894i 0.279378 + 0.420404i
\(326\) −55.8129 + 32.2236i −3.09119 + 1.78470i
\(327\) −9.53031 7.83953i −0.527027 0.433527i
\(328\) 30.8023 1.70077
\(329\) 8.76546 + 0.331501i 0.483256 + 0.0182762i
\(330\) −7.75322 1.28915i −0.426801 0.0709652i
\(331\) 7.29685 + 27.2322i 0.401071 + 1.49682i 0.811188 + 0.584785i \(0.198821\pi\)
−0.410117 + 0.912033i \(0.634512\pi\)
\(332\) −30.6445 8.21117i −1.68183 0.450646i
\(333\) 1.93072 + 1.29644i 0.105803 + 0.0710447i
\(334\) 16.4297 28.4570i 0.898992 1.55710i
\(335\) −2.71640 −0.148413
\(336\) 25.9025 + 77.8938i 1.41310 + 4.24946i
\(337\) 8.32902i 0.453711i −0.973928 0.226855i \(-0.927156\pi\)
0.973928 0.226855i \(-0.0728445\pi\)
\(338\) 33.5842 13.7135i 1.82674 0.745916i
\(339\) 6.20302 13.6489i 0.336902 0.741308i
\(340\) 39.2032 + 10.5045i 2.12609 + 0.569684i
\(341\) 3.33572 + 1.92588i 0.180639 + 0.104292i
\(342\) 3.39463 9.92581i 0.183560 0.536726i
\(343\) 14.4936 11.5298i 0.782581 0.622549i
\(344\) −68.7084 68.7084i −3.70451 3.70451i
\(345\) 2.60802 3.17050i 0.140411 0.170694i
\(346\) −7.14872 + 26.6794i −0.384317 + 1.43429i
\(347\) 24.2695 14.0120i 1.30286 0.752204i 0.321963 0.946752i \(-0.395657\pi\)
0.980893 + 0.194548i \(0.0623240\pi\)
\(348\) −4.93239 50.6717i −0.264404 2.71629i
\(349\) −1.81924 1.81924i −0.0973819 0.0973819i 0.656737 0.754119i \(-0.271936\pi\)
−0.754119 + 0.656737i \(0.771936\pi\)
\(350\) 8.70015 + 16.4775i 0.465043 + 0.880758i
\(351\) 17.5731 6.49519i 0.937981 0.346688i
\(352\) −14.9082 + 25.8217i −0.794607 + 1.37630i
\(353\) −6.68403 + 24.9452i −0.355755 + 1.32770i 0.523776 + 0.851856i \(0.324523\pi\)
−0.879531 + 0.475841i \(0.842144\pi\)
\(354\) −10.0211 4.55429i −0.532616 0.242058i
\(355\) 5.56905 + 3.21529i 0.295575 + 0.170650i
\(356\) −67.7576 67.7576i −3.59115 3.59115i
\(357\) −20.0074 4.10918i −1.05891 0.217481i
\(358\) −29.8915 29.8915i −1.57981 1.57981i
\(359\) 0.252966 + 0.944080i 0.0133510 + 0.0498267i 0.972280 0.233820i \(-0.0751225\pi\)
−0.958929 + 0.283646i \(0.908456\pi\)
\(360\) −48.9469 + 9.62014i −2.57973 + 0.507026i
\(361\) 15.0946 8.71487i 0.794452 0.458677i
\(362\) −2.18928 8.17050i −0.115066 0.429432i
\(363\) −10.0043 13.9947i −0.525090 0.734529i
\(364\) 52.9452 15.6228i 2.77508 0.818860i
\(365\) 5.06209i 0.264962i
\(366\) 0.975589 1.18600i 0.0509948 0.0619931i
\(367\) −6.76464 11.7167i −0.353111 0.611607i 0.633682 0.773594i \(-0.281543\pi\)
−0.986793 + 0.161987i \(0.948210\pi\)
\(368\) −13.4908 23.3668i −0.703258 1.21808i
\(369\) 0.591852 8.72495i 0.0308106 0.454203i
\(370\) −2.40695 + 2.40695i −0.125131 + 0.125131i
\(371\) −0.383619 1.68386i −0.0199165 0.0874216i
\(372\) 36.8516 + 6.12740i 1.91066 + 0.317691i
\(373\) −0.132468 + 0.229442i −0.00685894 + 0.0118800i −0.869435 0.494048i \(-0.835517\pi\)
0.862576 + 0.505928i \(0.168850\pi\)
\(374\) −6.42655 11.1311i −0.332309 0.575576i
\(375\) −19.2003 + 7.20149i −0.991498 + 0.371883i
\(376\) 30.3398 + 17.5167i 1.56465 + 0.903353i
\(377\) −18.2780 + 1.15184i −0.941366 + 0.0593226i
\(378\) 37.1385 9.61377i 1.91020 0.494479i
\(379\) −14.8979 + 14.8979i −0.765254 + 0.765254i −0.977267 0.212013i \(-0.931998\pi\)
0.212013 + 0.977267i \(0.431998\pi\)
\(380\) 9.88190 + 5.70532i 0.506931 + 0.292677i
\(381\) 2.55630 5.62480i 0.130963 0.288167i
\(382\) −29.2761 7.84452i −1.49790 0.401361i
\(383\) 24.0935 6.45583i 1.23112 0.329878i 0.416104 0.909317i \(-0.363395\pi\)
0.815015 + 0.579439i \(0.196728\pi\)
\(384\) −19.0309 + 114.456i −0.971165 + 5.84081i
\(385\) −1.26981 + 4.11078i −0.0647157 + 0.209505i
\(386\) 33.3679i 1.69838i
\(387\) −20.7823 + 18.1419i −1.05642 + 0.922203i
\(388\) 13.4789 50.3041i 0.684289 2.55380i
\(389\) −5.37669 9.31271i −0.272609 0.472173i 0.696920 0.717149i \(-0.254553\pi\)
−0.969529 + 0.244976i \(0.921220\pi\)
\(390\) 4.36798 + 27.0719i 0.221181 + 1.37084i
\(391\) 6.71357 0.339520
\(392\) 72.6894 13.6932i 3.67137 0.691610i
\(393\) −4.16102 5.82070i −0.209895 0.293615i
\(394\) 23.5555 + 13.5998i 1.18671 + 0.685148i
\(395\) 4.45327 16.6198i 0.224068 0.836234i
\(396\) 14.8941 + 10.0012i 0.748459 + 0.502577i
\(397\) −24.1032 + 6.45844i −1.20971 + 0.324140i −0.806647 0.591034i \(-0.798720\pi\)
−0.403059 + 0.915174i \(0.632053\pi\)
\(398\) 33.3813 33.3813i 1.67325 1.67325i
\(399\) −5.13434 2.57178i −0.257039 0.128750i
\(400\) 45.2096i 2.26048i
\(401\) −5.60719 20.9263i −0.280010 1.04501i −0.952409 0.304822i \(-0.901403\pi\)
0.672399 0.740189i \(-0.265264\pi\)
\(402\) 7.59578 + 3.45205i 0.378843 + 0.172173i
\(403\) 2.65489 13.1737i 0.132249 0.656231i
\(404\) 42.8824 + 24.7582i 2.13348 + 1.23177i
\(405\) 1.78447 + 14.0494i 0.0886711 + 0.698118i
\(406\) −37.4744 1.41725i −1.85982 0.0703367i
\(407\) 0.801109 0.0397095
\(408\) −62.9996 51.8228i −3.11894 2.56561i
\(409\) 9.73562 + 2.60865i 0.481396 + 0.128990i 0.491352 0.870961i \(-0.336503\pi\)
−0.00995679 + 0.999950i \(0.503169\pi\)
\(410\) 12.3637 + 3.31285i 0.610601 + 0.163610i
\(411\) −21.4308 17.6287i −1.05710 0.869561i
\(412\) 5.81081 0.286278
\(413\) −3.20784 + 5.10070i −0.157847 + 0.250989i
\(414\) −11.3219 + 5.55126i −0.556439 + 0.272829i
\(415\) −7.47125 4.31353i −0.366749 0.211743i
\(416\) 101.978 + 20.5514i 4.99986 + 1.00762i
\(417\) −20.9050 9.50068i −1.02372 0.465250i
\(418\) −0.935270 3.49047i −0.0457455 0.170725i
\(419\) 24.0355i 1.17421i 0.809510 + 0.587106i \(0.199733\pi\)
−0.809510 + 0.587106i \(0.800267\pi\)
\(420\) 2.47028 + 41.6554i 0.120537 + 2.03257i
\(421\) 15.6959 15.6959i 0.764971 0.764971i −0.212246 0.977216i \(-0.568078\pi\)
0.977216 + 0.212246i \(0.0680777\pi\)
\(422\) 12.5322 3.35800i 0.610060 0.163465i
\(423\) 5.54466 8.25734i 0.269591 0.401486i
\(424\) 1.78520 6.66244i 0.0866968 0.323557i
\(425\) −9.74197 5.62453i −0.472555 0.272830i
\(426\) −11.4865 16.0681i −0.556523 0.778501i
\(427\) −0.571541 0.616470i −0.0276588 0.0298331i
\(428\) −60.6786 −2.93301
\(429\) 3.77829 5.23209i 0.182417 0.252608i
\(430\) −20.1891 34.9685i −0.973604 1.68633i
\(431\) −3.14504 + 11.7374i −0.151491 + 0.565373i 0.847889 + 0.530174i \(0.177873\pi\)
−0.999380 + 0.0351992i \(0.988793\pi\)
\(432\) 90.5744 + 21.4460i 4.35776 + 1.03182i
\(433\) 10.1150i 0.486097i −0.970014 0.243048i \(-0.921853\pi\)
0.970014 0.243048i \(-0.0781474\pi\)
\(434\) 8.12148 26.2917i 0.389844 1.26204i
\(435\) 2.27073 13.6567i 0.108873 0.654789i
\(436\) −39.8242 + 10.6709i −1.90723 + 0.511041i
\(437\) 1.82318 + 0.488520i 0.0872147 + 0.0233691i
\(438\) −6.43299 + 14.1550i −0.307380 + 0.676350i
\(439\) 5.29475 + 3.05693i 0.252705 + 0.145899i 0.621002 0.783809i \(-0.286726\pi\)
−0.368297 + 0.929708i \(0.620059\pi\)
\(440\) −12.1505 + 12.1505i −0.579254 + 0.579254i
\(441\) −2.48199 20.8528i −0.118190 0.992991i
\(442\) −29.6523 + 33.6409i −1.41042 + 1.60014i
\(443\) −27.2631 15.7404i −1.29531 0.747848i −0.315721 0.948852i \(-0.602246\pi\)
−0.979590 + 0.201004i \(0.935580\pi\)
\(444\) 7.27493 2.72862i 0.345253 0.129495i
\(445\) −13.0286 22.5662i −0.617614 1.06974i
\(446\) −14.8935 + 25.7963i −0.705227 + 1.22149i
\(447\) 30.3926 + 5.05345i 1.43752 + 0.239020i
\(448\) 112.959 + 34.8929i 5.33682 + 1.64854i
\(449\) −2.15028 + 2.15028i −0.101478 + 0.101478i −0.756023 0.654545i \(-0.772860\pi\)
0.654545 + 0.756023i \(0.272860\pi\)
\(450\) 21.0797 + 1.42993i 0.993708 + 0.0674076i
\(451\) −1.50621 2.60883i −0.0709246 0.122845i
\(452\) −25.0446 43.3785i −1.17800 2.04035i
\(453\) 22.2301 27.0246i 1.04446 1.26973i
\(454\) 24.6509i 1.15692i
\(455\) 15.0063 0.377238i 0.703504 0.0176852i
\(456\) −13.3376 18.6576i −0.624592 0.873721i
\(457\) −6.12968 22.8763i −0.286734 1.07011i −0.947563 0.319570i \(-0.896461\pi\)
0.660828 0.750537i \(-0.270205\pi\)
\(458\) 49.6859 28.6862i 2.32167 1.34042i
\(459\) −15.8896 + 16.8493i −0.741664 + 0.786456i
\(460\) −3.54994 13.2485i −0.165517 0.617716i
\(461\) 16.4758 + 16.4758i 0.767354 + 0.767354i 0.977640 0.210286i \(-0.0674395\pi\)
−0.210286 + 0.977640i \(0.567440\pi\)
\(462\) 8.77479 9.88114i 0.408240 0.459712i
\(463\) 8.26830 + 8.26830i 0.384261 + 0.384261i 0.872635 0.488374i \(-0.162410\pi\)
−0.488374 + 0.872635i \(0.662410\pi\)
\(464\) −78.7983 45.4942i −3.65812 2.11202i
\(465\) 9.24827 + 4.20306i 0.428878 + 0.194912i
\(466\) −15.5883 + 58.1764i −0.722115 + 2.69497i
\(467\) −11.8280 + 20.4867i −0.547334 + 0.948010i 0.451122 + 0.892462i \(0.351024\pi\)
−0.998456 + 0.0555478i \(0.982309\pi\)
\(468\) 16.4901 60.3821i 0.762257 2.79116i
\(469\) 2.43147 3.86622i 0.112275 0.178525i
\(470\) 10.2941 + 10.2941i 0.474831 + 0.474831i
\(471\) −1.10911 11.3941i −0.0511049 0.525014i
\(472\) −20.8413 + 12.0327i −0.959297 + 0.553850i
\(473\) −2.45953 + 9.17909i −0.113089 + 0.422055i
\(474\) −33.5733 + 40.8142i −1.54207 + 1.87466i
\(475\) −2.23632 2.23632i −0.102609 0.102609i
\(476\) −50.0419 + 46.3947i −2.29367 + 2.12650i
\(477\) −1.85288 0.633683i −0.0848373 0.0290144i
\(478\) −18.9151 10.9206i −0.865157 0.499499i
\(479\) −36.8563 9.87561i −1.68401 0.451228i −0.715175 0.698946i \(-0.753653\pi\)
−0.968832 + 0.247717i \(0.920320\pi\)
\(480\) −32.5357 + 71.5906i −1.48505 + 3.26765i
\(481\) −0.891773 2.64895i −0.0406613 0.120782i
\(482\) 57.4242i 2.61560i
\(483\) 2.17808 + 6.54991i 0.0991060 + 0.298031i
\(484\) −57.4743 −2.61247
\(485\) 7.08082 12.2643i 0.321523 0.556895i
\(486\) 12.8643 41.5535i 0.583536 1.88490i
\(487\) 13.1386 + 3.52048i 0.595368 + 0.159528i 0.543905 0.839147i \(-0.316945\pi\)
0.0514625 + 0.998675i \(0.483612\pi\)
\(488\) −0.868976 3.24306i −0.0393367 0.146807i
\(489\) 39.4606 + 6.56121i 1.78447 + 0.296708i
\(490\) 30.6495 + 2.32158i 1.38460 + 0.104878i
\(491\) 12.8768 0.581124 0.290562 0.956856i \(-0.406158\pi\)
0.290562 + 0.956856i \(0.406158\pi\)
\(492\) −22.5638 18.5607i −1.01726 0.836783i
\(493\) 19.6066 11.3199i 0.883036 0.509821i
\(494\) −10.5005 + 6.97807i −0.472440 + 0.313958i
\(495\) 3.20825 + 3.67518i 0.144200 + 0.165187i
\(496\) 47.2102 47.2102i 2.11980 2.11980i
\(497\) −9.56119 + 5.04833i −0.428878 + 0.226449i
\(498\) 15.4099 + 21.5564i 0.690534 + 0.965964i
\(499\) 4.36632 + 16.2953i 0.195463 + 0.729479i 0.992146 + 0.125082i \(0.0399193\pi\)
−0.796683 + 0.604397i \(0.793414\pi\)
\(500\) −17.7321 + 66.1771i −0.793003 + 2.95953i
\(501\) −19.0968 + 7.16266i −0.853180 + 0.320004i
\(502\) 4.36402 1.16934i 0.194776 0.0521900i
\(503\) 23.3328i 1.04036i 0.854058 + 0.520178i \(0.174135\pi\)
−0.854058 + 0.520178i \(0.825865\pi\)
\(504\) 30.1205 78.2765i 1.34167 3.48671i
\(505\) 9.52111 + 9.52111i 0.423684 + 0.423684i
\(506\) −2.17183 + 3.76171i −0.0965494 + 0.167228i
\(507\) −21.5064 6.66909i −0.955131 0.296185i
\(508\) −10.3210 17.8765i −0.457921 0.793143i
\(509\) 4.89245 1.31093i 0.216854 0.0581059i −0.148756 0.988874i \(-0.547527\pi\)
0.365610 + 0.930768i \(0.380860\pi\)
\(510\) −19.7137 27.5768i −0.872938 1.22112i
\(511\) 7.20481 + 4.53111i 0.318722 + 0.200445i
\(512\) 97.7648 + 97.7648i 4.32063 + 4.32063i
\(513\) −5.54114 + 3.41947i −0.244648 + 0.150973i
\(514\) 21.5353 80.3710i 0.949883 3.54501i
\(515\) 1.52628 + 0.408966i 0.0672560 + 0.0180212i
\(516\) 8.92933 + 91.7334i 0.393092 + 4.03834i
\(517\) 3.42620i 0.150684i
\(518\) −1.27130 5.58026i −0.0558579 0.245183i
\(519\) 13.9469 9.97015i 0.612201 0.437641i
\(520\) 53.7027 + 26.6514i 2.35502 + 1.16874i
\(521\) −13.1444 + 7.58895i −0.575869 + 0.332478i −0.759490 0.650519i \(-0.774551\pi\)
0.183621 + 0.982997i \(0.441218\pi\)
\(522\) −23.7047 + 35.3021i −1.03753 + 1.54513i
\(523\) −10.2084 + 17.6815i −0.446384 + 0.773159i −0.998147 0.0608411i \(-0.980622\pi\)
0.551764 + 0.834000i \(0.313955\pi\)
\(524\) −23.9049 −1.04429
\(525\) 2.32683 11.3292i 0.101551 0.494448i
\(526\) −8.09835 + 8.09835i −0.353105 + 0.353105i
\(527\) 4.29964 + 16.0465i 0.187295 + 0.698995i
\(528\) 30.0209 11.2600i 1.30649 0.490028i
\(529\) 10.3656 + 17.9537i 0.450678 + 0.780597i
\(530\) 1.43312 2.48223i 0.0622506 0.107821i
\(531\) 3.00788 + 6.13462i 0.130531 + 0.266220i
\(532\) −16.9657 + 8.95791i −0.735555 + 0.388375i
\(533\) −6.94970 + 7.88452i −0.301025 + 0.341516i
\(534\) 7.75391 + 79.6580i 0.335545 + 3.44714i
\(535\) −15.9380 4.27057i −0.689059 0.184633i
\(536\) 15.7972 9.12053i 0.682336 0.393947i
\(537\) 2.54208 + 26.1154i 0.109699 + 1.12696i
\(538\) −44.4677 + 44.4677i −1.91714 + 1.91714i
\(539\) −4.71420 5.48690i −0.203055 0.236337i
\(540\) 41.6522 + 22.4471i 1.79243 + 0.965970i
\(541\) −4.26856 + 1.14376i −0.183520 + 0.0491740i −0.349408 0.936971i \(-0.613617\pi\)
0.165889 + 0.986144i \(0.446951\pi\)
\(542\) −47.7472 + 27.5668i −2.05092 + 1.18410i
\(543\) −2.17230 + 4.77987i −0.0932225 + 0.205124i
\(544\) −124.215 + 33.2834i −5.32568 + 1.42701i
\(545\) −11.2113 −0.480240
\(546\) −42.4409 18.0154i −1.81630 0.770986i
\(547\) 6.98230 0.298542 0.149271 0.988796i \(-0.452307\pi\)
0.149271 + 0.988796i \(0.452307\pi\)
\(548\) −89.5525 + 23.9955i −3.82549 + 1.02504i
\(549\) −0.935315 + 0.183829i −0.0399183 + 0.00784563i
\(550\) 6.30301 3.63904i 0.268761 0.155169i
\(551\) 6.14820 1.64740i 0.261922 0.0701818i
\(552\) −4.52173 + 27.1947i −0.192457 + 1.15748i
\(553\) 19.6686 + 21.2148i 0.836395 + 0.902145i
\(554\) 36.8093 36.8093i 1.56388 1.56388i
\(555\) 2.10289 0.204696i 0.0892628 0.00868884i
\(556\) −66.4395 + 38.3589i −2.81766 + 1.62678i
\(557\) 38.8946 + 10.4218i 1.64802 + 0.441584i 0.959056 0.283216i \(-0.0914014\pi\)
0.688959 + 0.724800i \(0.258068\pi\)
\(558\) −20.5193 23.5057i −0.868652 0.995077i
\(559\) 33.0895 2.08522i 1.39954 0.0881956i
\(560\) 63.1304 + 39.7028i 2.66775 + 1.67775i
\(561\) −1.30854 + 7.86989i −0.0552468 + 0.332267i
\(562\) 25.5315 44.2218i 1.07698 1.86538i
\(563\) −14.9695 25.9279i −0.630889 1.09273i −0.987370 0.158429i \(-0.949357\pi\)
0.356482 0.934302i \(-0.383976\pi\)
\(564\) −11.6698 31.1136i −0.491389 1.31012i
\(565\) −3.52529 13.1565i −0.148310 0.553500i
\(566\) 20.1465 20.1465i 0.846820 0.846820i
\(567\) −21.5936 10.0359i −0.906844 0.421466i
\(568\) −43.1824 −1.81189
\(569\) 9.13425 15.8210i 0.382928 0.663250i −0.608552 0.793514i \(-0.708249\pi\)
0.991479 + 0.130264i \(0.0415826\pi\)
\(570\) −3.34693 8.92344i −0.140187 0.373762i
\(571\) 36.6005 21.1313i 1.53168 0.884318i 0.532399 0.846493i \(-0.321291\pi\)
0.999284 0.0378246i \(-0.0120428\pi\)
\(572\) −6.87940 20.4348i −0.287642 0.854421i
\(573\) 10.9406 + 15.3044i 0.457049 + 0.639350i
\(574\) −15.7820 + 14.6318i −0.658728 + 0.610719i
\(575\) 3.80157i 0.158536i
\(576\) 100.989 88.1587i 4.20789 3.67328i
\(577\) 37.9001 + 10.1553i 1.57780 + 0.422770i 0.938244 0.345974i \(-0.112451\pi\)
0.639556 + 0.768744i \(0.279118\pi\)
\(578\) 2.06978 7.72453i 0.0860916 0.321298i
\(579\) 13.1575 15.9952i 0.546806 0.664738i
\(580\) −32.7060 32.7060i −1.35804 1.35804i
\(581\) 12.8270 6.77266i 0.532152 0.280977i
\(582\) −35.3856 + 25.2959i −1.46678 + 1.04855i
\(583\) −0.651575 + 0.174589i −0.0269855 + 0.00723074i
\(584\) 16.9964 + 29.4386i 0.703315 + 1.21818i
\(585\) 8.58104 14.6995i 0.354782 0.607750i
\(586\) 34.2700 59.3574i 1.41568 2.45203i
\(587\) −21.5243 21.5243i −0.888402 0.888402i 0.105968 0.994370i \(-0.466206\pi\)
−0.994370 + 0.105968i \(0.966206\pi\)
\(588\) −61.4987 33.7701i −2.53617 1.39266i
\(589\) 4.67055i 0.192447i
\(590\) −9.65960 + 2.58828i −0.397679 + 0.106558i
\(591\) −5.92895 15.8075i −0.243884 0.650234i
\(592\) 3.59401 13.4130i 0.147713 0.551273i
\(593\) 5.55820 + 20.7435i 0.228248 + 0.851833i 0.981077 + 0.193617i \(0.0620220\pi\)
−0.752829 + 0.658216i \(0.771311\pi\)
\(594\) −4.30063 14.3539i −0.176457 0.588947i
\(595\) −16.4094 + 8.66419i −0.672719 + 0.355197i
\(596\) 72.7862 72.7862i 2.98144 2.98144i
\(597\) −29.1644 + 2.83887i −1.19362 + 0.116187i
\(598\) 14.8561 + 2.99393i 0.607512 + 0.122431i
\(599\) −14.4051 + 8.31677i −0.588575 + 0.339814i −0.764534 0.644583i \(-0.777031\pi\)
0.175959 + 0.984398i \(0.443697\pi\)
\(600\) 29.3447 35.6736i 1.19799 1.45637i
\(601\) 20.5693 0.839041 0.419520 0.907746i \(-0.362198\pi\)
0.419520 + 0.907746i \(0.362198\pi\)
\(602\) 67.8417 + 2.56570i 2.76502 + 0.104570i
\(603\) −2.27991 4.64991i −0.0928451 0.189359i
\(604\) −30.2587 112.927i −1.23121 4.59494i
\(605\) −15.0963 4.04505i −0.613753 0.164455i
\(606\) −14.5240 38.7232i −0.589996 1.57302i
\(607\) 8.14247 14.1032i 0.330493 0.572430i −0.652116 0.758119i \(-0.726118\pi\)
0.982609 + 0.185689i \(0.0594517\pi\)
\(608\) −36.1546 −1.46626
\(609\) 17.4049 + 15.4561i 0.705280 + 0.626313i
\(610\) 1.39519i 0.0564896i
\(611\) −11.3291 + 3.81395i −0.458326 + 0.154296i
\(612\) 14.9223 + 75.9240i 0.603198 + 3.06905i
\(613\) −15.4508 4.14004i −0.624053 0.167214i −0.0670834 0.997747i \(-0.521369\pi\)
−0.556970 + 0.830533i \(0.688036\pi\)
\(614\) −60.5524 34.9600i −2.44370 1.41087i
\(615\) −4.62036 6.46325i −0.186311 0.260624i
\(616\) −6.41767 28.1697i −0.258575 1.13499i
\(617\) 0.771778 + 0.771778i 0.0310706 + 0.0310706i 0.722471 0.691401i \(-0.243006\pi\)
−0.691401 + 0.722471i \(0.743006\pi\)
\(618\) −3.74817 3.08320i −0.150773 0.124025i
\(619\) −3.76338 + 14.0451i −0.151263 + 0.564521i 0.848133 + 0.529783i \(0.177726\pi\)
−0.999396 + 0.0347384i \(0.988940\pi\)
\(620\) 29.3925 16.9698i 1.18043 0.681523i
\(621\) 7.61618 + 1.80334i 0.305627 + 0.0723655i
\(622\) −43.3987 43.3987i −1.74013 1.74013i
\(623\) 43.7801 + 1.65572i 1.75401 + 0.0663350i
\(624\) −70.6508 86.7330i −2.82830 3.47210i
\(625\) −3.00549 + 5.20567i −0.120220 + 0.208227i
\(626\) 19.0598 71.1320i 0.761781 2.84301i
\(627\) −0.928018 + 2.04198i −0.0370615 + 0.0815489i
\(628\) −33.1233 19.1238i −1.32176 0.763121i
\(629\) 2.44317 + 2.44317i 0.0974155 + 0.0974155i
\(630\) 20.5088 28.1798i 0.817092 1.12271i
\(631\) 12.9442 + 12.9442i 0.515300 + 0.515300i 0.916146 0.400846i \(-0.131284\pi\)
−0.400846 + 0.916146i \(0.631284\pi\)
\(632\) 29.9044 + 111.605i 1.18953 + 4.43940i
\(633\) −7.33155 3.33197i −0.291403 0.132434i
\(634\) 4.62561 2.67060i 0.183706 0.106063i
\(635\) −1.45279 5.42189i −0.0576522 0.215161i
\(636\) −5.32235 + 3.80476i −0.211045 + 0.150869i
\(637\) −12.8953 + 21.6959i −0.510930 + 0.859622i
\(638\) 14.6478i 0.579912i
\(639\) −0.829729 + 12.2317i −0.0328236 + 0.483878i
\(640\) 52.7059 + 91.2892i 2.08338 + 3.60852i
\(641\) 21.7902 + 37.7418i 0.860663 + 1.49071i 0.871290 + 0.490768i \(0.163284\pi\)
−0.0106275 + 0.999944i \(0.503383\pi\)
\(642\) 39.1397 + 32.1959i 1.54472 + 1.27067i
\(643\) −35.0831 + 35.0831i −1.38354 + 1.38354i −0.545303 + 0.838239i \(0.683585\pi\)
−0.838239 + 0.545303i \(0.816415\pi\)
\(644\) 22.0340 + 6.80628i 0.868263 + 0.268205i
\(645\) −4.11081 + 24.7234i −0.161863 + 0.973481i
\(646\) 7.79269 13.4973i 0.306599 0.531046i
\(647\) −21.7667 37.7011i −0.855739 1.48218i −0.875958 0.482388i \(-0.839770\pi\)
0.0202185 0.999796i \(-0.493564\pi\)
\(648\) −57.5494 75.7124i −2.26075 2.97427i
\(649\) 2.03824 + 1.17678i 0.0800079 + 0.0461926i
\(650\) −19.0492 16.7907i −0.747172 0.658585i
\(651\) −14.2603 + 9.40076i −0.558907 + 0.368445i
\(652\) 94.5029 94.5029i 3.70102 3.70102i
\(653\) 24.3200 + 14.0411i 0.951714 + 0.549472i 0.893613 0.448839i \(-0.148162\pi\)
0.0581008 + 0.998311i \(0.481496\pi\)
\(654\) 31.3499 + 14.2475i 1.22588 + 0.557123i
\(655\) −6.27891 1.68243i −0.245337 0.0657379i
\(656\) −50.4372 + 13.5146i −1.96924 + 0.527656i
\(657\) 8.66523 4.24868i 0.338063 0.165757i
\(658\) −23.8658 + 5.43714i −0.930385 + 0.211962i
\(659\) 22.2850i 0.868100i 0.900889 + 0.434050i \(0.142916\pi\)
−0.900889 + 0.434050i \(0.857084\pi\)
\(660\) 16.2223 1.57908i 0.631453 0.0614657i
\(661\) 4.74855 17.7218i 0.184697 0.689300i −0.809998 0.586433i \(-0.800532\pi\)
0.994695 0.102867i \(-0.0328016\pi\)
\(662\) −39.3357 68.1315i −1.52883 2.64801i
\(663\) 27.4793 4.43371i 1.06721 0.172191i
\(664\) 57.9320 2.24820
\(665\) −5.08670 + 1.15886i −0.197254 + 0.0449387i
\(666\) −6.14038 2.10001i −0.237935 0.0813736i
\(667\) −6.62596 3.82550i −0.256558 0.148124i
\(668\) −17.6365 + 65.8202i −0.682376 + 2.54666i
\(669\) 17.3112 6.49295i 0.669290 0.251032i
\(670\) 7.32177 1.96186i 0.282865 0.0757933i
\(671\) −0.232182 + 0.232182i −0.00896327 + 0.00896327i
\(672\) −72.7710 110.389i −2.80720 4.25834i
\(673\) 30.0715i 1.15917i −0.814912 0.579585i \(-0.803215\pi\)
0.814912 0.579585i \(-0.196785\pi\)
\(674\) 6.01545 + 22.4500i 0.231707 + 0.864741i
\(675\) −9.54092 8.99752i −0.367230 0.346315i
\(676\) −59.9119 + 45.4949i −2.30430 + 1.74981i
\(677\) −37.8020 21.8250i −1.45285 0.838802i −0.454206 0.890897i \(-0.650077\pi\)
−0.998642 + 0.0520941i \(0.983410\pi\)
\(678\) −6.86193 + 41.2692i −0.263531 + 1.58493i
\(679\) 11.1176 + 21.0559i 0.426654 + 0.808052i
\(680\) −74.1118 −2.84206
\(681\) 9.72022 11.8166i 0.372480 0.452814i
\(682\) −10.3820 2.78185i −0.397547 0.106522i
\(683\) 2.92598 + 0.784014i 0.111960 + 0.0299995i 0.314364 0.949303i \(-0.398209\pi\)
−0.202404 + 0.979302i \(0.564875\pi\)
\(684\) −1.47230 + 21.7043i −0.0562947 + 0.829884i
\(685\) −25.2109 −0.963258
\(686\) −30.7388 + 41.5449i −1.17361 + 1.58619i
\(687\) −35.1288 5.84095i −1.34025 0.222846i
\(688\) 142.652 + 82.3603i 5.43857 + 3.13996i
\(689\) 1.30261 + 1.96016i 0.0496256 + 0.0746760i
\(690\) −4.73981 + 10.4293i −0.180442 + 0.397038i
\(691\) 4.52773 + 16.8977i 0.172243 + 0.642819i 0.997005 + 0.0773390i \(0.0246424\pi\)
−0.824762 + 0.565480i \(0.808691\pi\)
\(692\) 57.2781i 2.17739i
\(693\) −8.10256 + 1.27658i −0.307791 + 0.0484931i
\(694\) −55.2960 + 55.2960i −2.09901 + 2.09901i
\(695\) −20.1509 + 5.39941i −0.764366 + 0.204811i
\(696\) 32.6480 + 87.0447i 1.23752 + 3.29942i
\(697\) 3.36270 12.5498i 0.127371 0.475356i
\(698\) 6.21749 + 3.58967i 0.235335 + 0.135871i
\(699\) 30.4122 21.7407i 1.15030 0.822307i
\(700\) −26.2711 28.3363i −0.992954 1.07101i
\(701\) 24.1061 0.910474 0.455237 0.890370i \(-0.349554\pi\)
0.455237 + 0.890370i \(0.349554\pi\)
\(702\) −42.6753 + 30.1989i −1.61067 + 1.13978i
\(703\) 0.485703 + 0.841263i 0.0183187 + 0.0317288i
\(704\) 11.9519 44.6049i 0.450452 1.68111i
\(705\) −0.875447 8.99369i −0.0329712 0.338722i
\(706\) 72.0644i 2.71218i
\(707\) −22.0737 + 5.02886i −0.830166 + 0.189130i
\(708\) 22.5176 + 3.74405i 0.846263 + 0.140710i
\(709\) −19.6208 + 5.25737i −0.736873 + 0.197445i −0.607688 0.794176i \(-0.707903\pi\)
−0.129185 + 0.991620i \(0.541236\pi\)
\(710\) −17.3330 4.64435i −0.650494 0.174299i
\(711\) 32.1873 6.32617i 1.20712 0.237250i
\(712\) 151.535 + 87.4890i 5.67903 + 3.27879i
\(713\) 3.96979 3.96979i 0.148670 0.148670i
\(714\) 56.8956 3.37407i 2.12927 0.126271i
\(715\) −0.368755 5.85162i −0.0137907 0.218838i
\(716\) 75.9189 + 43.8318i 2.83722 + 1.63807i
\(717\) 4.76095 + 12.6934i 0.177801 + 0.474045i
\(718\) −1.36368 2.36197i −0.0508922 0.0881479i
\(719\) 18.3989 31.8678i 0.686162 1.18847i −0.286908 0.957958i \(-0.592628\pi\)
0.973070 0.230509i \(-0.0740391\pi\)
\(720\) 75.9270 37.2280i 2.82963 1.38741i
\(721\) −1.94826 + 1.80627i −0.0725570 + 0.0672689i
\(722\) −34.3917 + 34.3917i −1.27993 + 1.27993i
\(723\) −22.6432 + 27.5268i −0.842111 + 1.02373i
\(724\) 8.77065 + 15.1912i 0.325959 + 0.564577i
\(725\) 6.40989 + 11.1023i 0.238057 + 0.412328i
\(726\) 37.0728 + 30.4957i 1.37590 + 1.13180i
\(727\) 18.1195i 0.672014i −0.941860 0.336007i \(-0.890923\pi\)
0.941860 0.336007i \(-0.109077\pi\)
\(728\) −86.0023 + 52.5785i −3.18746 + 1.94869i
\(729\) −22.5518 + 14.8464i −0.835252 + 0.549868i
\(730\) 3.65598 + 13.6443i 0.135314 + 0.504999i
\(731\) −35.4947 + 20.4929i −1.31282 + 0.757957i
\(732\) −1.31764 + 2.89928i −0.0487012 + 0.107161i
\(733\) 4.20772 + 15.7034i 0.155416 + 0.580019i 0.999069 + 0.0431317i \(0.0137335\pi\)
−0.843654 + 0.536888i \(0.819600\pi\)
\(734\) 26.6955 + 26.6955i 0.985348 + 0.985348i
\(735\) −13.7767 13.1984i −0.508160 0.486831i
\(736\) 30.7300 + 30.7300i 1.13272 + 1.13272i
\(737\) −1.54494 0.891972i −0.0569087 0.0328562i
\(738\) 4.70613 + 23.9446i 0.173235 + 0.881413i
\(739\) −5.00198 + 18.6677i −0.184001 + 0.686701i 0.810841 + 0.585266i \(0.199010\pi\)
−0.994842 + 0.101435i \(0.967657\pi\)
\(740\) 3.52947 6.11321i 0.129746 0.224726i
\(741\) 7.78507 + 0.795511i 0.285992 + 0.0292238i
\(742\) 2.25014 + 4.26160i 0.0826051 + 0.156448i
\(743\) −23.1956 23.1956i −0.850965 0.850965i 0.139287 0.990252i \(-0.455519\pi\)
−0.990252 + 0.139287i \(0.955519\pi\)
\(744\) −67.8954 + 6.60894i −2.48917 + 0.242296i
\(745\) 24.2409 13.9955i 0.888118 0.512755i
\(746\) 0.191345 0.714108i 0.00700562 0.0261453i
\(747\) 1.11314 16.4096i 0.0407275 0.600396i
\(748\) 18.8473 + 18.8473i 0.689126 + 0.689126i
\(749\) 20.3444 18.8617i 0.743370 0.689192i
\(750\) 46.5512 33.2778i 1.69981 1.21513i
\(751\) −24.0745 13.8994i −0.878491 0.507197i −0.00833061 0.999965i \(-0.502652\pi\)
−0.870161 + 0.492768i \(0.835985\pi\)
\(752\) −57.3652 15.3710i −2.09189 0.560521i
\(753\) −2.55302 1.16027i −0.0930372 0.0422825i
\(754\) 48.4345 16.3056i 1.76388 0.593813i
\(755\) 31.7913i 1.15700i
\(756\) −69.2319 + 39.1905i −2.51794 + 1.42534i
\(757\) −7.74434 −0.281473 −0.140736 0.990047i \(-0.544947\pi\)
−0.140736 + 0.990047i \(0.544947\pi\)
\(758\) 29.3960 50.9154i 1.06771 1.84933i
\(759\) 2.52438 0.946826i 0.0916294 0.0343676i
\(760\) −20.1263 5.39283i −0.730058 0.195618i
\(761\) 11.3485 + 42.3532i 0.411383 + 1.53530i 0.791971 + 0.610558i \(0.209055\pi\)
−0.380588 + 0.924745i \(0.624278\pi\)
\(762\) −2.82784 + 17.0073i −0.102442 + 0.616108i
\(763\) 10.0353 15.9569i 0.363304 0.577680i
\(764\) 62.8531 2.27395
\(765\) −1.42402 + 20.9926i −0.0514856 + 0.758990i
\(766\) −60.2788 + 34.8020i −2.17796 + 1.25745i
\(767\) 1.62223 8.04961i 0.0585753 0.290655i
\(768\) −16.3709 168.183i −0.590735 6.06878i
\(769\) −27.2658 + 27.2658i −0.983229 + 0.983229i −0.999862 0.0166329i \(-0.994705\pi\)
0.0166329 + 0.999862i \(0.494705\pi\)
\(770\) 0.453724 11.9973i 0.0163511 0.432351i
\(771\) −42.0147 + 30.0348i −1.51312 + 1.08168i
\(772\) −17.9094 66.8389i −0.644574 2.40558i
\(773\) −3.70219 + 13.8168i −0.133159 +