Properties

Label 273.2.br.b.257.8
Level $273$
Weight $2$
Character 273.257
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.br (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 257.8
Character \(\chi\) \(=\) 273.257
Dual form 273.2.br.b.17.8

$q$-expansion

\(f(q)\) \(=\) \(q-1.59822 q^{2} +(-0.201046 + 1.72034i) q^{3} +0.554302 q^{4} +(-1.21627 - 0.702213i) q^{5} +(0.321315 - 2.74948i) q^{6} +(0.626391 + 2.57053i) q^{7} +2.31054 q^{8} +(-2.91916 - 0.691736i) q^{9} +O(q^{10})\) \(q-1.59822 q^{2} +(-0.201046 + 1.72034i) q^{3} +0.554302 q^{4} +(-1.21627 - 0.702213i) q^{5} +(0.321315 - 2.74948i) q^{6} +(0.626391 + 2.57053i) q^{7} +2.31054 q^{8} +(-2.91916 - 0.691736i) q^{9} +(1.94386 + 1.12229i) q^{10} +(-0.817530 + 1.41600i) q^{11} +(-0.111440 + 0.953590i) q^{12} +(-3.59853 + 0.224949i) q^{13} +(-1.00111 - 4.10827i) q^{14} +(1.45257 - 1.95122i) q^{15} -4.80135 q^{16} -0.339622 q^{17} +(4.66546 + 1.10555i) q^{18} +(-2.35901 - 4.08592i) q^{19} +(-0.674180 - 0.389238i) q^{20} +(-4.54813 + 0.560813i) q^{21} +(1.30659 - 2.26308i) q^{22} -6.57208i q^{23} +(-0.464525 + 3.97492i) q^{24} +(-1.51379 - 2.62197i) q^{25} +(5.75123 - 0.359517i) q^{26} +(1.77691 - 4.88289i) q^{27} +(0.347210 + 1.42485i) q^{28} +(-1.65460 + 0.955282i) q^{29} +(-2.32153 + 3.11848i) q^{30} +(-0.995436 - 1.72415i) q^{31} +3.05253 q^{32} +(-2.27165 - 1.69111i) q^{33} +0.542790 q^{34} +(1.04320 - 3.56632i) q^{35} +(-1.61810 - 0.383431i) q^{36} +11.0918i q^{37} +(3.77021 + 6.53020i) q^{38} +(0.336480 - 6.23593i) q^{39} +(-2.81024 - 1.62249i) q^{40} +(-7.89919 + 4.56060i) q^{41} +(7.26891 - 0.896302i) q^{42} +(-2.12872 + 3.68705i) q^{43} +(-0.453159 + 0.784894i) q^{44} +(3.06474 + 2.89121i) q^{45} +10.5036i q^{46} +(-4.97933 - 2.87482i) q^{47} +(0.965293 - 8.25998i) q^{48} +(-6.21527 + 3.22032i) q^{49} +(2.41937 + 4.19048i) q^{50} +(0.0682796 - 0.584266i) q^{51} +(-1.99467 + 0.124690i) q^{52} +(8.54683 - 4.93451i) q^{53} +(-2.83989 + 7.80392i) q^{54} +(1.98867 - 1.14816i) q^{55} +(1.44730 + 5.93932i) q^{56} +(7.50346 - 3.23685i) q^{57} +(2.64441 - 1.52675i) q^{58} +4.64495i q^{59} +(0.805165 - 1.08157i) q^{60} +(0.243117 - 0.140364i) q^{61} +(1.59092 + 2.75556i) q^{62} +(-0.0504077 - 7.93709i) q^{63} +4.72410 q^{64} +(4.53474 + 2.25333i) q^{65} +(3.63059 + 2.70277i) q^{66} +(9.91618 + 5.72511i) q^{67} -0.188253 q^{68} +(11.3062 + 1.32129i) q^{69} +(-1.66726 + 5.69975i) q^{70} +(-7.38229 + 12.7865i) q^{71} +(-6.74484 - 1.59828i) q^{72} +(-1.42939 - 2.47578i) q^{73} -17.7271i q^{74} +(4.81503 - 2.07711i) q^{75} +(-1.30760 - 2.26484i) q^{76} +(-4.15197 - 1.21451i) q^{77} +(-0.537769 + 9.96637i) q^{78} +(2.52977 - 4.38169i) q^{79} +(5.83974 + 3.37157i) q^{80} +(8.04300 + 4.03858i) q^{81} +(12.6246 - 7.28883i) q^{82} +0.193780i q^{83} +(-2.52104 + 0.310860i) q^{84} +(0.413071 + 0.238487i) q^{85} +(3.40216 - 5.89272i) q^{86} +(-1.31076 - 3.03853i) q^{87} +(-1.88894 + 3.27173i) q^{88} +4.97223i q^{89} +(-4.89812 - 4.62079i) q^{90} +(-2.83232 - 9.10922i) q^{91} -3.64292i q^{92} +(3.16625 - 1.36586i) q^{93} +(7.95806 + 4.59459i) q^{94} +6.62611i q^{95} +(-0.613699 + 5.25140i) q^{96} +(1.17079 - 2.02786i) q^{97} +(9.93336 - 5.14677i) q^{98} +(3.36600 - 3.56803i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 6q^{3} + 56q^{4} - 6q^{7} + O(q^{10}) \) \( 64q - 6q^{3} + 56q^{4} - 6q^{7} - 6q^{10} - 6q^{12} - 12q^{13} - 9q^{15} + 16q^{16} - 36q^{18} - 12q^{21} - 18q^{22} - 12q^{24} + 16q^{25} + 18q^{28} - 22q^{30} + 36q^{31} - 15q^{33} - 24q^{34} - 4q^{36} - 9q^{39} - 54q^{40} + 39q^{42} - 12q^{43} - 6q^{45} - 54q^{48} + 2q^{49} - 14q^{51} - 48q^{52} + 18q^{54} + 42q^{55} + 30q^{58} - 9q^{60} + 6q^{61} + 3q^{63} - 28q^{64} - 9q^{66} + 48q^{67} - 39q^{69} - 84q^{70} - 123q^{72} - 12q^{73} + 18q^{76} - 11q^{78} + 4q^{79} - 66q^{82} + 27q^{84} - 30q^{85} - 30q^{88} + 130q^{91} + 84q^{94} - 24q^{96} - 12q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59822 −1.13011 −0.565056 0.825053i \(-0.691145\pi\)
−0.565056 + 0.825053i \(0.691145\pi\)
\(3\) −0.201046 + 1.72034i −0.116074 + 0.993241i
\(4\) 0.554302 0.277151
\(5\) −1.21627 0.702213i −0.543932 0.314039i 0.202739 0.979233i \(-0.435016\pi\)
−0.746671 + 0.665194i \(0.768349\pi\)
\(6\) 0.321315 2.74948i 0.131176 1.12247i
\(7\) 0.626391 + 2.57053i 0.236754 + 0.971570i
\(8\) 2.31054 0.816900
\(9\) −2.91916 0.691736i −0.973054 0.230579i
\(10\) 1.94386 + 1.12229i 0.614703 + 0.354899i
\(11\) −0.817530 + 1.41600i −0.246494 + 0.426941i −0.962551 0.271102i \(-0.912612\pi\)
0.716056 + 0.698043i \(0.245945\pi\)
\(12\) −0.111440 + 0.953590i −0.0321700 + 0.275278i
\(13\) −3.59853 + 0.224949i −0.998052 + 0.0623896i
\(14\) −1.00111 4.10827i −0.267558 1.09798i
\(15\) 1.45257 1.95122i 0.375053 0.503803i
\(16\) −4.80135 −1.20034
\(17\) −0.339622 −0.0823704 −0.0411852 0.999152i \(-0.513113\pi\)
−0.0411852 + 0.999152i \(0.513113\pi\)
\(18\) 4.66546 + 1.10555i 1.09966 + 0.260580i
\(19\) −2.35901 4.08592i −0.541194 0.937375i −0.998836 0.0482385i \(-0.984639\pi\)
0.457642 0.889136i \(-0.348694\pi\)
\(20\) −0.674180 0.389238i −0.150751 0.0870363i
\(21\) −4.54813 + 0.560813i −0.992483 + 0.122379i
\(22\) 1.30659 2.26308i 0.278566 0.482491i
\(23\) 6.57208i 1.37037i −0.728368 0.685186i \(-0.759721\pi\)
0.728368 0.685186i \(-0.240279\pi\)
\(24\) −0.464525 + 3.97492i −0.0948208 + 0.811378i
\(25\) −1.51379 2.62197i −0.302759 0.524394i
\(26\) 5.75123 0.359517i 1.12791 0.0705071i
\(27\) 1.77691 4.88289i 0.341966 0.939712i
\(28\) 0.347210 + 1.42485i 0.0656166 + 0.269272i
\(29\) −1.65460 + 0.955282i −0.307251 + 0.177392i −0.645696 0.763595i \(-0.723433\pi\)
0.338445 + 0.940986i \(0.390099\pi\)
\(30\) −2.32153 + 3.11848i −0.423851 + 0.569354i
\(31\) −0.995436 1.72415i −0.178786 0.309666i 0.762679 0.646777i \(-0.223883\pi\)
−0.941465 + 0.337111i \(0.890550\pi\)
\(32\) 3.05253 0.539616
\(33\) −2.27165 1.69111i −0.395443 0.294385i
\(34\) 0.542790 0.0930877
\(35\) 1.04320 3.56632i 0.176333 0.602818i
\(36\) −1.61810 0.383431i −0.269683 0.0639052i
\(37\) 11.0918i 1.82348i 0.410768 + 0.911740i \(0.365261\pi\)
−0.410768 + 0.911740i \(0.634739\pi\)
\(38\) 3.77021 + 6.53020i 0.611609 + 1.05934i
\(39\) 0.336480 6.23593i 0.0538800 0.998547i
\(40\) −2.81024 1.62249i −0.444338 0.256539i
\(41\) −7.89919 + 4.56060i −1.23365 + 0.712246i −0.967788 0.251766i \(-0.918989\pi\)
−0.265858 + 0.964012i \(0.585655\pi\)
\(42\) 7.26891 0.896302i 1.12162 0.138302i
\(43\) −2.12872 + 3.68705i −0.324627 + 0.562271i −0.981437 0.191786i \(-0.938572\pi\)
0.656810 + 0.754056i \(0.271905\pi\)
\(44\) −0.453159 + 0.784894i −0.0683162 + 0.118327i
\(45\) 3.06474 + 2.89121i 0.456864 + 0.430996i
\(46\) 10.5036i 1.54867i
\(47\) −4.97933 2.87482i −0.726311 0.419336i 0.0907603 0.995873i \(-0.471070\pi\)
−0.817071 + 0.576537i \(0.804404\pi\)
\(48\) 0.965293 8.25998i 0.139328 1.19222i
\(49\) −6.21527 + 3.22032i −0.887895 + 0.460046i
\(50\) 2.41937 + 4.19048i 0.342151 + 0.592623i
\(51\) 0.0682796 0.584266i 0.00956106 0.0818136i
\(52\) −1.99467 + 0.124690i −0.276611 + 0.0172913i
\(53\) 8.54683 4.93451i 1.17400 0.677808i 0.219379 0.975640i \(-0.429597\pi\)
0.954618 + 0.297832i \(0.0962636\pi\)
\(54\) −2.83989 + 7.80392i −0.386460 + 1.06198i
\(55\) 1.98867 1.14816i 0.268152 0.154818i
\(56\) 1.44730 + 5.93932i 0.193404 + 0.793675i
\(57\) 7.50346 3.23685i 0.993857 0.428731i
\(58\) 2.64441 1.52675i 0.347228 0.200472i
\(59\) 4.64495i 0.604721i 0.953194 + 0.302361i \(0.0977747\pi\)
−0.953194 + 0.302361i \(0.902225\pi\)
\(60\) 0.805165 1.08157i 0.103946 0.139630i
\(61\) 0.243117 0.140364i 0.0311280 0.0179718i −0.484355 0.874871i \(-0.660946\pi\)
0.515483 + 0.856900i \(0.327612\pi\)
\(62\) 1.59092 + 2.75556i 0.202048 + 0.349957i
\(63\) −0.0504077 7.93709i −0.00635078 0.999980i
\(64\) 4.72410 0.590512
\(65\) 4.53474 + 2.25333i 0.562465 + 0.279492i
\(66\) 3.63059 + 2.70277i 0.446895 + 0.332688i
\(67\) 9.91618 + 5.72511i 1.21145 + 0.699433i 0.963076 0.269230i \(-0.0867692\pi\)
0.248378 + 0.968663i \(0.420102\pi\)
\(68\) −0.188253 −0.0228291
\(69\) 11.3062 + 1.32129i 1.36111 + 0.159065i
\(70\) −1.66726 + 5.69975i −0.199276 + 0.681251i
\(71\) −7.38229 + 12.7865i −0.876116 + 1.51748i −0.0205475 + 0.999789i \(0.506541\pi\)
−0.855569 + 0.517689i \(0.826792\pi\)
\(72\) −6.74484 1.59828i −0.794887 0.188360i
\(73\) −1.42939 2.47578i −0.167298 0.289768i 0.770171 0.637837i \(-0.220171\pi\)
−0.937469 + 0.348069i \(0.886838\pi\)
\(74\) 17.7271i 2.06074i
\(75\) 4.81503 2.07711i 0.555991 0.239844i
\(76\) −1.30760 2.26484i −0.149992 0.259795i
\(77\) −4.15197 1.21451i −0.473161 0.138407i
\(78\) −0.537769 + 9.96637i −0.0608904 + 1.12847i
\(79\) 2.52977 4.38169i 0.284621 0.492979i −0.687896 0.725809i \(-0.741465\pi\)
0.972517 + 0.232831i \(0.0747988\pi\)
\(80\) 5.83974 + 3.37157i 0.652902 + 0.376953i
\(81\) 8.04300 + 4.03858i 0.893667 + 0.448731i
\(82\) 12.6246 7.28883i 1.39416 0.804917i
\(83\) 0.193780i 0.0212701i 0.999943 + 0.0106350i \(0.00338530\pi\)
−0.999943 + 0.0106350i \(0.996615\pi\)
\(84\) −2.52104 + 0.310860i −0.275068 + 0.0339176i
\(85\) 0.413071 + 0.238487i 0.0448039 + 0.0258675i
\(86\) 3.40216 5.89272i 0.366865 0.635428i
\(87\) −1.31076 3.03853i −0.140529 0.325765i
\(88\) −1.88894 + 3.27173i −0.201361 + 0.348768i
\(89\) 4.97223i 0.527056i 0.964652 + 0.263528i \(0.0848861\pi\)
−0.964652 + 0.263528i \(0.915114\pi\)
\(90\) −4.89812 4.62079i −0.516307 0.487074i
\(91\) −2.83232 9.10922i −0.296908 0.954906i
\(92\) 3.64292i 0.379800i
\(93\) 3.16625 1.36586i 0.328325 0.141633i
\(94\) 7.95806 + 4.59459i 0.820812 + 0.473896i
\(95\) 6.62611i 0.679824i
\(96\) −0.613699 + 5.25140i −0.0626354 + 0.535969i
\(97\) 1.17079 2.02786i 0.118875 0.205898i −0.800447 0.599404i \(-0.795404\pi\)
0.919322 + 0.393505i \(0.128738\pi\)
\(98\) 9.93336 5.14677i 1.00342 0.519903i
\(99\) 3.36600 3.56803i 0.338296 0.358600i
\(100\) −0.839099 1.45336i −0.0839099 0.145336i
\(101\) −1.52087 + 2.63422i −0.151332 + 0.262114i −0.931717 0.363184i \(-0.881690\pi\)
0.780385 + 0.625299i \(0.215023\pi\)
\(102\) −0.109126 + 0.933785i −0.0108051 + 0.0924585i
\(103\) −14.4362 8.33477i −1.42245 0.821249i −0.425938 0.904752i \(-0.640056\pi\)
−0.996508 + 0.0835029i \(0.973389\pi\)
\(104\) −8.31454 + 0.519753i −0.815308 + 0.0509660i
\(105\) 5.92556 + 2.51166i 0.578275 + 0.245113i
\(106\) −13.6597 + 7.88643i −1.32675 + 0.765998i
\(107\) 0.105699i 0.0102183i 0.999987 + 0.00510917i \(0.00162630\pi\)
−0.999987 + 0.00510917i \(0.998374\pi\)
\(108\) 0.984945 2.70660i 0.0947764 0.260442i
\(109\) −6.84050 + 3.94936i −0.655201 + 0.378280i −0.790446 0.612532i \(-0.790151\pi\)
0.135245 + 0.990812i \(0.456818\pi\)
\(110\) −3.17833 + 1.83501i −0.303042 + 0.174961i
\(111\) −19.0817 2.22996i −1.81115 0.211659i
\(112\) −3.00753 12.3420i −0.284185 1.16621i
\(113\) −14.6188 8.44014i −1.37522 0.793982i −0.383638 0.923484i \(-0.625329\pi\)
−0.991579 + 0.129502i \(0.958662\pi\)
\(114\) −11.9922 + 5.17319i −1.12317 + 0.484513i
\(115\) −4.61500 + 7.99341i −0.430351 + 0.745389i
\(116\) −0.917147 + 0.529515i −0.0851550 + 0.0491643i
\(117\) 10.6603 + 1.83257i 0.985544 + 0.169421i
\(118\) 7.42365i 0.683402i
\(119\) −0.212736 0.873009i −0.0195015 0.0800286i
\(120\) 3.35623 4.50838i 0.306380 0.411557i
\(121\) 4.16329 + 7.21103i 0.378481 + 0.655548i
\(122\) −0.388555 + 0.224332i −0.0351781 + 0.0203101i
\(123\) −6.25770 14.5062i −0.564237 1.30798i
\(124\) −0.551772 0.955698i −0.0495506 0.0858242i
\(125\) 11.2742i 1.00839i
\(126\) 0.0805626 + 12.6852i 0.00717708 + 1.13009i
\(127\) 2.00577 + 3.47409i 0.177983 + 0.308276i 0.941190 0.337879i \(-0.109709\pi\)
−0.763207 + 0.646155i \(0.776376\pi\)
\(128\) −13.6552 −1.20696
\(129\) −5.91503 4.40340i −0.520789 0.387698i
\(130\) −7.24750 3.60132i −0.635648 0.315857i
\(131\) −5.41505 + 9.37915i −0.473116 + 0.819460i −0.999526 0.0307701i \(-0.990204\pi\)
0.526411 + 0.850230i \(0.323537\pi\)
\(132\) −1.25918 0.937388i −0.109598 0.0815891i
\(133\) 9.02533 8.62329i 0.782596 0.747734i
\(134\) −15.8482 9.14997i −1.36908 0.790437i
\(135\) −5.59003 + 4.69113i −0.481113 + 0.403749i
\(136\) −0.784710 −0.0672884
\(137\) 16.2844 1.39127 0.695634 0.718397i \(-0.255124\pi\)
0.695634 + 0.718397i \(0.255124\pi\)
\(138\) −18.0698 2.11171i −1.53821 0.179761i
\(139\) 5.17895 + 2.99007i 0.439273 + 0.253614i 0.703289 0.710904i \(-0.251714\pi\)
−0.264016 + 0.964518i \(0.585047\pi\)
\(140\) 0.578248 1.97682i 0.0488709 0.167072i
\(141\) 5.94675 7.98819i 0.500807 0.672727i
\(142\) 11.7985 20.4356i 0.990109 1.71492i
\(143\) 2.62337 5.27943i 0.219378 0.441488i
\(144\) 14.0159 + 3.32127i 1.16799 + 0.276773i
\(145\) 2.68325 0.222832
\(146\) 2.28448 + 3.95684i 0.189065 + 0.327471i
\(147\) −4.29050 11.3398i −0.353874 0.935293i
\(148\) 6.14821i 0.505380i
\(149\) −3.96424 6.86626i −0.324763 0.562506i 0.656701 0.754151i \(-0.271951\pi\)
−0.981464 + 0.191645i \(0.938618\pi\)
\(150\) −7.69546 + 3.31967i −0.628332 + 0.271050i
\(151\) 2.66197 1.53689i 0.216628 0.125070i −0.387760 0.921760i \(-0.626751\pi\)
0.604388 + 0.796690i \(0.293418\pi\)
\(152\) −5.45059 9.44069i −0.442101 0.765741i
\(153\) 0.991411 + 0.234929i 0.0801508 + 0.0189929i
\(154\) 6.63576 + 1.94106i 0.534725 + 0.156415i
\(155\) 2.79603i 0.224583i
\(156\) 0.186512 3.45659i 0.0149329 0.276749i
\(157\) −10.5462 + 6.08883i −0.841675 + 0.485941i −0.857833 0.513928i \(-0.828190\pi\)
0.0161582 + 0.999869i \(0.494856\pi\)
\(158\) −4.04313 + 7.00290i −0.321654 + 0.557121i
\(159\) 6.77075 + 15.6955i 0.536955 + 1.24474i
\(160\) −3.71270 2.14353i −0.293514 0.169461i
\(161\) 16.8937 4.11669i 1.33141 0.324441i
\(162\) −12.8545 6.45453i −1.00994 0.507116i
\(163\) 12.6559 7.30691i 0.991290 0.572321i 0.0856302 0.996327i \(-0.472710\pi\)
0.905660 + 0.424006i \(0.139376\pi\)
\(164\) −4.37854 + 2.52795i −0.341906 + 0.197400i
\(165\) 1.57541 + 3.65203i 0.122646 + 0.284310i
\(166\) 0.309702i 0.0240375i
\(167\) −19.7919 + 11.4268i −1.53154 + 0.884236i −0.532251 + 0.846587i \(0.678654\pi\)
−0.999291 + 0.0376491i \(0.988013\pi\)
\(168\) −10.5086 + 1.29578i −0.810759 + 0.0999717i
\(169\) 12.8988 1.61897i 0.992215 0.124536i
\(170\) −0.660178 0.381154i −0.0506334 0.0292332i
\(171\) 4.05995 + 13.5593i 0.310472 + 1.03690i
\(172\) −1.17996 + 2.04374i −0.0899707 + 0.155834i
\(173\) 1.65546 + 2.86734i 0.125862 + 0.218000i 0.922070 0.387024i \(-0.126497\pi\)
−0.796207 + 0.605024i \(0.793164\pi\)
\(174\) 2.09489 + 4.85624i 0.158813 + 0.368150i
\(175\) 5.79162 5.53363i 0.437806 0.418303i
\(176\) 3.92525 6.79873i 0.295877 0.512474i
\(177\) −7.99091 0.933849i −0.600634 0.0701924i
\(178\) 7.94671i 0.595631i
\(179\) −11.2262 6.48147i −0.839088 0.484448i 0.0178660 0.999840i \(-0.494313\pi\)
−0.856954 + 0.515393i \(0.827646\pi\)
\(180\) 1.69879 + 1.60260i 0.126620 + 0.119451i
\(181\) 21.4688i 1.59576i 0.602816 + 0.797881i \(0.294045\pi\)
−0.602816 + 0.797881i \(0.705955\pi\)
\(182\) 4.52667 + 14.5585i 0.335539 + 1.07915i
\(183\) 0.192596 + 0.446465i 0.0142371 + 0.0330036i
\(184\) 15.1850i 1.11946i
\(185\) 7.78880 13.4906i 0.572644 0.991849i
\(186\) −5.06036 + 2.18294i −0.371044 + 0.160061i
\(187\) 0.277651 0.480906i 0.0203039 0.0351673i
\(188\) −2.76006 1.59352i −0.201298 0.116219i
\(189\) 13.6647 + 1.50900i 0.993958 + 0.109764i
\(190\) 10.5900i 0.768277i
\(191\) 13.6634 7.88858i 0.988650 0.570797i 0.0837794 0.996484i \(-0.473301\pi\)
0.904870 + 0.425687i \(0.139968\pi\)
\(192\) −0.949761 + 8.12707i −0.0685431 + 0.586521i
\(193\) −8.40723 4.85392i −0.605166 0.349393i 0.165905 0.986142i \(-0.446945\pi\)
−0.771071 + 0.636749i \(0.780279\pi\)
\(194\) −1.87117 + 3.24097i −0.134342 + 0.232688i
\(195\) −4.78820 + 7.34828i −0.342890 + 0.526221i
\(196\) −3.44514 + 1.78503i −0.246081 + 0.127502i
\(197\) 0.387997 + 0.672031i 0.0276437 + 0.0478803i 0.879516 0.475869i \(-0.157866\pi\)
−0.851873 + 0.523749i \(0.824533\pi\)
\(198\) −5.37961 + 5.70248i −0.382312 + 0.405258i
\(199\) 8.88274i 0.629681i −0.949145 0.314840i \(-0.898049\pi\)
0.949145 0.314840i \(-0.101951\pi\)
\(200\) −3.49768 6.05816i −0.247323 0.428377i
\(201\) −11.8428 + 15.9082i −0.835324 + 1.12208i
\(202\) 2.43068 4.21006i 0.171022 0.296218i
\(203\) −3.49201 3.65482i −0.245091 0.256518i
\(204\) 0.0378475 0.323860i 0.00264986 0.0226747i
\(205\) 12.8100 0.894693
\(206\) 23.0723 + 13.3208i 1.60752 + 0.928103i
\(207\) −4.54614 + 19.1849i −0.315979 + 1.33345i
\(208\) 17.2778 1.08006i 1.19800 0.0748886i
\(209\) 7.71424 0.533605
\(210\) −9.47034 4.01418i −0.653515 0.277004i
\(211\) −0.662998 1.14835i −0.0456427 0.0790554i 0.842302 0.539007i \(-0.181200\pi\)
−0.887944 + 0.459951i \(0.847867\pi\)
\(212\) 4.73753 2.73521i 0.325375 0.187855i
\(213\) −20.5130 15.2707i −1.40553 1.04633i
\(214\) 0.168930i 0.0115478i
\(215\) 5.17820 2.98963i 0.353150 0.203891i
\(216\) 4.10562 11.2821i 0.279352 0.767650i
\(217\) 3.80844 3.63879i 0.258534 0.247017i
\(218\) 10.9326 6.31195i 0.740450 0.427499i
\(219\) 4.54657 1.96130i 0.307229 0.132532i
\(220\) 1.10233 0.636428i 0.0743187 0.0429079i
\(221\) 1.22214 0.0763975i 0.0822099 0.00513905i
\(222\) 30.4967 + 3.56397i 2.04681 + 0.239198i
\(223\) −4.43881 7.68825i −0.297245 0.514843i 0.678260 0.734822i \(-0.262734\pi\)
−0.975505 + 0.219979i \(0.929401\pi\)
\(224\) 1.91208 + 7.84663i 0.127756 + 0.524275i
\(225\) 2.60530 + 8.70109i 0.173687 + 0.580073i
\(226\) 23.3640 + 13.4892i 1.55415 + 0.897288i
\(227\) 10.0730i 0.668568i −0.942472 0.334284i \(-0.891506\pi\)
0.942472 0.334284i \(-0.108494\pi\)
\(228\) 4.15918 1.79419i 0.275449 0.118823i
\(229\) −11.8396 + 20.5068i −0.782382 + 1.35513i 0.148168 + 0.988962i \(0.452662\pi\)
−0.930550 + 0.366164i \(0.880671\pi\)
\(230\) 7.37577 12.7752i 0.486344 0.842373i
\(231\) 2.92412 6.89865i 0.192393 0.453898i
\(232\) −3.82302 + 2.20722i −0.250993 + 0.144911i
\(233\) 18.4947 + 10.6779i 1.21163 + 0.699534i 0.963114 0.269094i \(-0.0867244\pi\)
0.248514 + 0.968628i \(0.420058\pi\)
\(234\) −17.0375 2.92885i −1.11377 0.191465i
\(235\) 4.03747 + 6.99311i 0.263376 + 0.456180i
\(236\) 2.57471i 0.167599i
\(237\) 7.02941 + 5.23299i 0.456609 + 0.339920i
\(238\) 0.339999 + 1.39526i 0.0220389 + 0.0904412i
\(239\) −4.03081 −0.260731 −0.130366 0.991466i \(-0.541615\pi\)
−0.130366 + 0.991466i \(0.541615\pi\)
\(240\) −6.97432 + 9.36851i −0.450190 + 0.604735i
\(241\) −13.8753 −0.893784 −0.446892 0.894588i \(-0.647469\pi\)
−0.446892 + 0.894588i \(0.647469\pi\)
\(242\) −6.65385 11.5248i −0.427726 0.740842i
\(243\) −8.56475 + 13.0248i −0.549429 + 0.835540i
\(244\) 0.134761 0.0778040i 0.00862716 0.00498089i
\(245\) 9.82078 + 0.447669i 0.627427 + 0.0286005i
\(246\) 10.0012 + 23.1841i 0.637651 + 1.47816i
\(247\) 9.40808 + 14.1726i 0.598622 + 0.901784i
\(248\) −2.30000 3.98371i −0.146050 0.252966i
\(249\) −0.333367 0.0389586i −0.0211263 0.00246890i
\(250\) 18.0186i 1.13959i
\(251\) 6.99133 12.1093i 0.441289 0.764335i −0.556496 0.830850i \(-0.687855\pi\)
0.997785 + 0.0665150i \(0.0211880\pi\)
\(252\) −0.0279411 4.39955i −0.00176012 0.277146i
\(253\) 9.30608 + 5.37287i 0.585068 + 0.337789i
\(254\) −3.20565 5.55236i −0.201141 0.348386i
\(255\) −0.493326 + 0.662678i −0.0308933 + 0.0414985i
\(256\) 12.3758 0.773487
\(257\) 7.36588 0.459471 0.229736 0.973253i \(-0.426214\pi\)
0.229736 + 0.973253i \(0.426214\pi\)
\(258\) 9.45351 + 7.03759i 0.588550 + 0.438141i
\(259\) −28.5118 + 6.94781i −1.77164 + 0.431716i
\(260\) 2.51362 + 1.24903i 0.155888 + 0.0774615i
\(261\) 5.49084 1.64408i 0.339875 0.101766i
\(262\) 8.65444 14.9899i 0.534673 0.926081i
\(263\) 7.77579 + 4.48936i 0.479476 + 0.276826i 0.720198 0.693769i \(-0.244051\pi\)
−0.240722 + 0.970594i \(0.577384\pi\)
\(264\) −5.24874 3.90739i −0.323038 0.240483i
\(265\) −13.8603 −0.851433
\(266\) −14.4245 + 13.7819i −0.884420 + 0.845023i
\(267\) −8.55395 0.999647i −0.523493 0.0611774i
\(268\) 5.49656 + 3.17344i 0.335756 + 0.193849i
\(269\) −22.7086 −1.38457 −0.692283 0.721626i \(-0.743395\pi\)
−0.692283 + 0.721626i \(0.743395\pi\)
\(270\) 8.93408 7.49746i 0.543711 0.456281i
\(271\) −10.8129 −0.656838 −0.328419 0.944532i \(-0.606516\pi\)
−0.328419 + 0.944532i \(0.606516\pi\)
\(272\) 1.63064 0.0988724
\(273\) 16.2404 3.04120i 0.982915 0.184062i
\(274\) −26.0260 −1.57229
\(275\) 4.95029 0.298513
\(276\) 6.26707 + 0.732394i 0.377233 + 0.0440849i
\(277\) −26.9279 −1.61794 −0.808972 0.587847i \(-0.799976\pi\)
−0.808972 + 0.587847i \(0.799976\pi\)
\(278\) −8.27709 4.77878i −0.496427 0.286612i
\(279\) 1.71318 + 5.72164i 0.102566 + 0.342545i
\(280\) 2.41036 8.24012i 0.144046 0.492442i
\(281\) 20.4875 1.22218 0.611092 0.791560i \(-0.290731\pi\)
0.611092 + 0.791560i \(0.290731\pi\)
\(282\) −9.50421 + 12.7669i −0.565967 + 0.760257i
\(283\) 17.1899 + 9.92460i 1.02183 + 0.589956i 0.914635 0.404281i \(-0.132478\pi\)
0.107199 + 0.994238i \(0.465812\pi\)
\(284\) −4.09202 + 7.08758i −0.242817 + 0.420571i
\(285\) −11.3992 1.33215i −0.675229 0.0789099i
\(286\) −4.19273 + 8.43768i −0.247921 + 0.498930i
\(287\) −16.6712 17.4484i −0.984067 1.02995i
\(288\) −8.91083 2.11155i −0.525076 0.124424i
\(289\) −16.8847 −0.993215
\(290\) −4.28842 −0.251824
\(291\) 3.25324 + 2.42185i 0.190708 + 0.141971i
\(292\) −0.792316 1.37233i −0.0463668 0.0803097i
\(293\) 28.9138 + 16.6934i 1.68916 + 0.975239i 0.955158 + 0.296096i \(0.0956848\pi\)
0.734006 + 0.679143i \(0.237649\pi\)
\(294\) 6.85715 + 18.1235i 0.399917 + 1.05698i
\(295\) 3.26175 5.64951i 0.189906 0.328927i
\(296\) 25.6280i 1.48960i
\(297\) 5.46151 + 6.50801i 0.316909 + 0.377633i
\(298\) 6.33572 + 10.9738i 0.367018 + 0.635695i
\(299\) 1.47838 + 23.6498i 0.0854969 + 1.36770i
\(300\) 2.66898 1.15135i 0.154094 0.0664730i
\(301\) −10.8111 3.16241i −0.623142 0.182278i
\(302\) −4.25441 + 2.45629i −0.244814 + 0.141343i
\(303\) −4.22599 3.14601i −0.242777 0.180734i
\(304\) 11.3264 + 19.6180i 0.649616 + 1.12517i
\(305\) −0.394262 −0.0225753
\(306\) −1.58449 0.375467i −0.0905793 0.0214640i
\(307\) 29.8427 1.70322 0.851608 0.524180i \(-0.175628\pi\)
0.851608 + 0.524180i \(0.175628\pi\)
\(308\) −2.30145 0.673208i −0.131137 0.0383596i
\(309\) 17.2410 23.1596i 0.980807 1.31751i
\(310\) 4.46867i 0.253803i
\(311\) −11.4637 19.8557i −0.650047 1.12591i −0.983111 0.183010i \(-0.941416\pi\)
0.333065 0.942904i \(-0.391917\pi\)
\(312\) 0.777452 14.4084i 0.0440145 0.815713i
\(313\) −3.29865 1.90448i −0.186451 0.107648i 0.403869 0.914817i \(-0.367665\pi\)
−0.590320 + 0.807169i \(0.700998\pi\)
\(314\) 16.8551 9.73128i 0.951186 0.549168i
\(315\) −5.51222 + 9.68904i −0.310579 + 0.545915i
\(316\) 1.40226 2.42878i 0.0788831 0.136630i
\(317\) 6.02399 10.4339i 0.338341 0.586024i −0.645780 0.763524i \(-0.723468\pi\)
0.984121 + 0.177500i \(0.0568009\pi\)
\(318\) −10.8211 25.0849i −0.606819 1.40669i
\(319\) 3.12389i 0.174904i
\(320\) −5.74577 3.31732i −0.321198 0.185444i
\(321\) −0.181839 0.0212504i −0.0101493 0.00118608i
\(322\) −26.9999 + 6.57937i −1.50464 + 0.366654i
\(323\) 0.801171 + 1.38767i 0.0445783 + 0.0772120i
\(324\) 4.45825 + 2.23859i 0.247681 + 0.124366i
\(325\) 6.03724 + 9.09470i 0.334886 + 0.504483i
\(326\) −20.2270 + 11.6780i −1.12027 + 0.646787i
\(327\) −5.41901 12.5620i −0.299672 0.694681i
\(328\) −18.2514 + 10.5375i −1.00777 + 0.581833i
\(329\) 4.27080 14.6003i 0.235457 0.804941i
\(330\) −2.51786 5.83674i −0.138603 0.321302i
\(331\) −15.8450 + 9.14814i −0.870922 + 0.502827i −0.867655 0.497168i \(-0.834373\pi\)
−0.00326757 + 0.999995i \(0.501040\pi\)
\(332\) 0.107412i 0.00589502i
\(333\) 7.67260 32.3787i 0.420456 1.77434i
\(334\) 31.6317 18.2626i 1.73081 0.999285i
\(335\) −8.04049 13.9265i −0.439299 0.760888i
\(336\) 21.8372 2.69266i 1.19132 0.146897i
\(337\) 4.54162 0.247398 0.123699 0.992320i \(-0.460524\pi\)
0.123699 + 0.992320i \(0.460524\pi\)
\(338\) −20.6151 + 2.58746i −1.12131 + 0.140740i
\(339\) 17.4590 23.4524i 0.948242 1.27376i
\(340\) 0.228966 + 0.132194i 0.0124174 + 0.00716922i
\(341\) 3.25519 0.176279
\(342\) −6.48868 21.6707i −0.350868 1.17182i
\(343\) −12.1711 13.9594i −0.657179 0.753735i
\(344\) −4.91850 + 8.51909i −0.265188 + 0.459319i
\(345\) −12.8236 9.54642i −0.690398 0.513962i
\(346\) −2.64579 4.58264i −0.142238 0.246364i
\(347\) 1.42976i 0.0767533i −0.999263 0.0383767i \(-0.987781\pi\)
0.999263 0.0383767i \(-0.0122187\pi\)
\(348\) −0.726559 1.68426i −0.0389477 0.0902861i
\(349\) −13.9372 24.1399i −0.746040 1.29218i −0.949707 0.313139i \(-0.898620\pi\)
0.203668 0.979040i \(-0.434714\pi\)
\(350\) −9.25628 + 8.84395i −0.494769 + 0.472729i
\(351\) −5.29586 + 17.9709i −0.282672 + 0.959217i
\(352\) −2.49553 + 4.32239i −0.133012 + 0.230384i
\(353\) 2.17547 + 1.25601i 0.115789 + 0.0668506i 0.556776 0.830663i \(-0.312038\pi\)
−0.440987 + 0.897513i \(0.645372\pi\)
\(354\) 12.7712 + 1.49249i 0.678783 + 0.0793252i
\(355\) 17.9577 10.3679i 0.953095 0.550270i
\(356\) 2.75612i 0.146074i
\(357\) 1.54464 0.190464i 0.0817513 0.0100804i
\(358\) 17.9420 + 10.3588i 0.948263 + 0.547480i
\(359\) −5.80429 + 10.0533i −0.306338 + 0.530594i −0.977558 0.210664i \(-0.932437\pi\)
0.671220 + 0.741258i \(0.265771\pi\)
\(360\) 7.08120 + 6.68026i 0.373212 + 0.352081i
\(361\) −1.62984 + 2.82297i −0.0857813 + 0.148578i
\(362\) 34.3118i 1.80339i
\(363\) −13.2425 + 5.71254i −0.695049 + 0.299831i
\(364\) −1.56996 5.04926i −0.0822885 0.264653i
\(365\) 4.01496i 0.210152i
\(366\) −0.307811 0.713549i −0.0160895 0.0372978i
\(367\) −14.8877 8.59543i −0.777132 0.448678i 0.0582807 0.998300i \(-0.481438\pi\)
−0.835413 + 0.549623i \(0.814771\pi\)
\(368\) 31.5549i 1.64491i
\(369\) 26.2137 7.84897i 1.36463 0.408601i
\(370\) −12.4482 + 21.5609i −0.647152 + 1.12090i
\(371\) 18.0380 + 18.8790i 0.936485 + 0.980147i
\(372\) 1.75506 0.757099i 0.0909956 0.0392537i
\(373\) 7.88014 + 13.6488i 0.408018 + 0.706708i 0.994668 0.103133i \(-0.0328867\pi\)
−0.586650 + 0.809841i \(0.699553\pi\)
\(374\) −0.443747 + 0.768592i −0.0229456 + 0.0397430i
\(375\) −19.3954 2.26662i −1.00157 0.117048i
\(376\) −11.5050 6.64239i −0.593323 0.342555i
\(377\) 5.73923 3.80981i 0.295585 0.196215i
\(378\) −21.8391 2.41172i −1.12328 0.124045i
\(379\) 20.1856 11.6541i 1.03686 0.598633i 0.117920 0.993023i \(-0.462377\pi\)
0.918943 + 0.394390i \(0.129044\pi\)
\(380\) 3.67287i 0.188414i
\(381\) −6.37988 + 2.75216i −0.326851 + 0.140997i
\(382\) −21.8371 + 12.6077i −1.11728 + 0.645064i
\(383\) 7.02460 4.05566i 0.358941 0.207234i −0.309675 0.950842i \(-0.600220\pi\)
0.668616 + 0.743608i \(0.266887\pi\)
\(384\) 2.74532 23.4916i 0.140097 1.19880i
\(385\) 4.19707 + 4.39275i 0.213902 + 0.223875i
\(386\) 13.4366 + 7.75762i 0.683905 + 0.394853i
\(387\) 8.76455 9.29059i 0.445527 0.472267i
\(388\) 0.648970 1.12405i 0.0329465 0.0570650i
\(389\) −1.77887 + 1.02703i −0.0901924 + 0.0520726i −0.544418 0.838814i \(-0.683249\pi\)
0.454225 + 0.890887i \(0.349916\pi\)
\(390\) 7.65259 11.7442i 0.387504 0.594689i
\(391\) 2.23202i 0.112878i
\(392\) −14.3606 + 7.44068i −0.725321 + 0.375811i
\(393\) −15.0467 11.2014i −0.759005 0.565036i
\(394\) −0.620105 1.07405i −0.0312404 0.0541100i
\(395\) −6.15376 + 3.55288i −0.309629 + 0.178765i
\(396\) 1.86578 1.97776i 0.0937591 0.0993864i
\(397\) 12.7695 + 22.1175i 0.640885 + 1.11005i 0.985236 + 0.171204i \(0.0547658\pi\)
−0.344350 + 0.938841i \(0.611901\pi\)
\(398\) 14.1966i 0.711609i
\(399\) 13.0205 + 17.2603i 0.651841 + 0.864098i
\(400\) 7.26826 + 12.5890i 0.363413 + 0.629450i
\(401\) −17.4022 −0.869025 −0.434512 0.900666i \(-0.643079\pi\)
−0.434512 + 0.900666i \(0.643079\pi\)
\(402\) 18.9273 25.4248i 0.944009 1.26807i
\(403\) 3.96995 + 5.98046i 0.197757 + 0.297908i
\(404\) −0.843020 + 1.46015i −0.0419418 + 0.0726453i
\(405\) −6.94651 10.5599i −0.345175 0.524726i
\(406\) 5.58099 + 5.84119i 0.276980 + 0.289894i
\(407\) −15.7060 9.06787i −0.778518 0.449478i
\(408\) 0.157763 1.34997i 0.00781043 0.0668335i
\(409\) 29.4478 1.45610 0.728051 0.685523i \(-0.240427\pi\)
0.728051 + 0.685523i \(0.240427\pi\)
\(410\) −20.4733 −1.01110
\(411\) −3.27391 + 28.0147i −0.161490 + 1.38186i
\(412\) −8.00204 4.61998i −0.394232 0.227610i
\(413\) −11.9400 + 2.90956i −0.587529 + 0.143170i
\(414\) 7.26573 30.6617i 0.357091 1.50694i
\(415\) 0.136075 0.235688i 0.00667963 0.0115695i
\(416\) −10.9846 + 0.686663i −0.538565 + 0.0336664i
\(417\) −6.18515 + 8.30843i −0.302888 + 0.406866i
\(418\) −12.3290 −0.603033
\(419\) −11.5982 20.0887i −0.566610 0.981397i −0.996898 0.0787052i \(-0.974921\pi\)
0.430288 0.902692i \(-0.358412\pi\)
\(420\) 3.28455 + 1.39222i 0.160270 + 0.0679332i
\(421\) 16.1360i 0.786422i 0.919448 + 0.393211i \(0.128636\pi\)
−0.919448 + 0.393211i \(0.871364\pi\)
\(422\) 1.05962 + 1.83531i 0.0515813 + 0.0893414i
\(423\) 12.5469 + 11.8364i 0.610049 + 0.575508i
\(424\) 19.7478 11.4014i 0.959038 0.553701i
\(425\) 0.514117 + 0.890478i 0.0249384 + 0.0431945i
\(426\) 32.7842 + 24.4060i 1.58840 + 1.18247i
\(427\) 0.513097 + 0.537018i 0.0248305 + 0.0259881i
\(428\) 0.0585893i 0.00283202i
\(429\) 8.55501 + 5.57451i 0.413040 + 0.269140i
\(430\) −8.27589 + 4.77809i −0.399099 + 0.230420i
\(431\) −9.63013 + 16.6799i −0.463867 + 0.803442i −0.999150 0.0412316i \(-0.986872\pi\)
0.535282 + 0.844673i \(0.320205\pi\)
\(432\) −8.53157 + 23.4445i −0.410475 + 1.12797i
\(433\) −5.44146 3.14163i −0.261500 0.150977i 0.363519 0.931587i \(-0.381575\pi\)
−0.625018 + 0.780610i \(0.714909\pi\)
\(434\) −6.08672 + 5.81558i −0.292172 + 0.279157i
\(435\) −0.539456 + 4.61611i −0.0258649 + 0.221325i
\(436\) −3.79170 + 2.18914i −0.181590 + 0.104841i
\(437\) −26.8530 + 15.5036i −1.28455 + 0.741637i
\(438\) −7.26641 + 3.13459i −0.347203 + 0.149776i
\(439\) 22.1561i 1.05745i −0.848792 0.528726i \(-0.822670\pi\)
0.848792 0.528726i \(-0.177330\pi\)
\(440\) 4.59491 2.65287i 0.219054 0.126471i
\(441\) 20.3710 5.10130i 0.970047 0.242919i
\(442\) −1.95324 + 0.122100i −0.0929064 + 0.00580770i
\(443\) 14.0305 + 8.10049i 0.666607 + 0.384866i 0.794790 0.606885i \(-0.207581\pi\)
−0.128182 + 0.991751i \(0.540914\pi\)
\(444\) −10.5770 1.23607i −0.501963 0.0586614i
\(445\) 3.49157 6.04757i 0.165516 0.286682i
\(446\) 7.09420 + 12.2875i 0.335920 + 0.581830i
\(447\) 12.6093 5.43942i 0.596401 0.257276i
\(448\) 2.95913 + 12.1434i 0.139806 + 0.573724i
\(449\) 1.09886 1.90328i 0.0518583 0.0898212i −0.838931 0.544238i \(-0.816819\pi\)
0.890789 + 0.454417i \(0.150152\pi\)
\(450\) −4.16383 13.9062i −0.196285 0.655547i
\(451\) 14.9137i 0.702259i
\(452\) −8.10321 4.67839i −0.381143 0.220053i
\(453\) 2.10880 + 4.88849i 0.0990801 + 0.229681i
\(454\) 16.0988i 0.755556i
\(455\) −2.95175 + 13.0682i −0.138380 + 0.612645i
\(456\) 17.3370 7.47886i 0.811882 0.350230i
\(457\) 0.823151i 0.0385054i −0.999815 0.0192527i \(-0.993871\pi\)
0.999815 0.0192527i \(-0.00612870\pi\)
\(458\) 18.9223 32.7743i 0.884179 1.53144i
\(459\) −0.603477 + 1.65834i −0.0281679 + 0.0774045i
\(460\) −2.55810 + 4.43077i −0.119272 + 0.206585i
\(461\) −0.967102 0.558357i −0.0450424 0.0260053i 0.477310 0.878735i \(-0.341612\pi\)
−0.522352 + 0.852730i \(0.674945\pi\)
\(462\) −4.67338 + 11.0255i −0.217425 + 0.512955i
\(463\) 29.6293i 1.37699i −0.725240 0.688496i \(-0.758271\pi\)
0.725240 0.688496i \(-0.241729\pi\)
\(464\) 7.94431 4.58665i 0.368805 0.212930i
\(465\) −4.81013 0.562131i −0.223065 0.0260682i
\(466\) −29.5586 17.0656i −1.36927 0.790551i
\(467\) 20.4904 35.4903i 0.948181 1.64230i 0.198927 0.980014i \(-0.436254\pi\)
0.749254 0.662283i \(-0.230412\pi\)
\(468\) 5.90902 + 1.01580i 0.273145 + 0.0469553i
\(469\) −8.50516 + 29.0760i −0.392732 + 1.34261i
\(470\) −6.45276 11.1765i −0.297644 0.515534i
\(471\) −8.35461 19.3671i −0.384960 0.892391i
\(472\) 10.7323i 0.493996i
\(473\) −3.48059 6.02855i −0.160038 0.277193i
\(474\) −11.2345 8.36347i −0.516019 0.384147i
\(475\) −7.14210 + 12.3705i −0.327702 + 0.567597i
\(476\) −0.117920 0.483911i −0.00540486 0.0221800i
\(477\) −28.3629 + 8.49249i −1.29865 + 0.388844i
\(478\) 6.44211 0.294655
\(479\) −17.7710 10.2601i −0.811980 0.468797i 0.0356631 0.999364i \(-0.488646\pi\)
−0.847643 + 0.530567i \(0.821979\pi\)
\(480\) 4.43402 5.95616i 0.202385 0.271860i
\(481\) −2.49509 39.9141i −0.113766 1.81993i
\(482\) 22.1757 1.01008
\(483\) 3.68571 + 29.8907i 0.167705 + 1.36007i
\(484\) 2.30772 + 3.99709i 0.104896 + 0.181686i
\(485\) −2.84798 + 1.64428i −0.129320 + 0.0746631i
\(486\) 13.6883 20.8164i 0.620916 0.944253i
\(487\) 11.7068i 0.530486i 0.964182 + 0.265243i \(0.0854521\pi\)
−0.964182 + 0.265243i \(0.914548\pi\)
\(488\) 0.561733 0.324317i 0.0254284 0.0146811i
\(489\) 10.0260 + 23.2416i 0.453390 + 1.05102i
\(490\) −15.6958 0.715473i −0.709062 0.0323218i
\(491\) −21.2715 + 12.2811i −0.959968 + 0.554238i −0.896163 0.443724i \(-0.853657\pi\)
−0.0638050 + 0.997962i \(0.520324\pi\)
\(492\) −3.46865 8.04082i −0.156379 0.362508i
\(493\) 0.561938 0.324435i 0.0253084 0.0146118i
\(494\) −15.0362 22.6510i −0.676509 1.01912i
\(495\) −6.59948 + 1.97603i −0.296624 + 0.0888159i
\(496\) 4.77944 + 8.27823i 0.214603 + 0.371704i
\(497\) −37.4923 10.9671i −1.68176 0.491939i
\(498\) 0.532794 + 0.0622643i 0.0238751 + 0.00279013i
\(499\) −9.07157 5.23747i −0.406099 0.234461i 0.283013 0.959116i \(-0.408666\pi\)
−0.689112 + 0.724655i \(0.741999\pi\)
\(500\) 6.24929i 0.279477i
\(501\) −15.6790 36.3461i −0.700487 1.62383i
\(502\) −11.1737 + 19.3534i −0.498706 + 0.863784i
\(503\) −12.5476 + 21.7331i −0.559471 + 0.969032i 0.438070 + 0.898941i \(0.355662\pi\)
−0.997541 + 0.0700912i \(0.977671\pi\)
\(504\) −0.116469 18.3390i −0.00518795 0.816883i
\(505\) 3.69956 2.13594i 0.164628 0.0950483i
\(506\) −14.8731 8.58702i −0.661192 0.381739i
\(507\) 0.191930 + 22.5158i 0.00852389 + 0.999964i
\(508\) 1.11180 + 1.92570i 0.0493282 + 0.0854389i
\(509\) 0.319133i 0.0141453i −0.999975 0.00707265i \(-0.997749\pi\)
0.999975 0.00707265i \(-0.00225131\pi\)
\(510\) 0.788442 1.05910i 0.0349128 0.0468979i
\(511\) 5.46872 5.22511i 0.241922 0.231145i
\(512\) 7.53117 0.332834
\(513\) −24.1428 + 4.25846i −1.06593 + 0.188016i
\(514\) −11.7723 −0.519253
\(515\) 11.7056 + 20.2746i 0.515809 + 0.893407i
\(516\) −3.27871 2.44081i −0.144337 0.107451i
\(517\) 8.14151 4.70050i 0.358063 0.206728i
\(518\) 45.5681 11.1041i 2.00215 0.487887i
\(519\) −5.26563 + 2.27149i −0.231136 + 0.0997074i
\(520\) 10.4777 + 5.20642i 0.459477 + 0.228317i
\(521\) 2.10454 + 3.64517i 0.0922016 + 0.159698i 0.908437 0.418021i \(-0.137276\pi\)
−0.816236 + 0.577719i \(0.803943\pi\)
\(522\) −8.77556 + 2.62760i −0.384096 + 0.115007i
\(523\) 3.85308i 0.168483i 0.996445 + 0.0842417i \(0.0268468\pi\)
−0.996445 + 0.0842417i \(0.973153\pi\)
\(524\) −3.00158 + 5.19888i −0.131125 + 0.227114i
\(525\) 8.35536 + 11.0761i 0.364658 + 0.483400i
\(526\) −12.4274 7.17497i −0.541861 0.312844i
\(527\) 0.338072 + 0.585558i 0.0147266 + 0.0255073i
\(528\) 10.9070 + 8.11963i 0.474666 + 0.353362i
\(529\) −20.1922 −0.877921
\(530\) 22.1518 0.962213
\(531\) 3.21308 13.5594i 0.139436 0.588426i
\(532\) 5.00276 4.77991i 0.216897 0.207235i
\(533\) 27.3995 18.1884i 1.18681 0.787825i
\(534\) 13.6711 + 1.59765i 0.591605 + 0.0691373i
\(535\) 0.0742234 0.128559i 0.00320896 0.00555808i
\(536\) 22.9117 + 13.2281i 0.989636 + 0.571367i
\(537\) 13.4073 18.0099i 0.578569 0.777185i
\(538\) 36.2932 1.56471
\(539\) 0.521185 11.4335i 0.0224490 0.492478i
\(540\) −3.09856 + 2.60031i −0.133341 + 0.111899i
\(541\) −36.2307 20.9178i −1.55768 0.899327i −0.997478 0.0709715i \(-0.977390\pi\)
−0.560202 0.828356i \(-0.689277\pi\)
\(542\) 17.2814 0.742300
\(543\) −36.9337 4.31621i −1.58497 0.185226i
\(544\) −1.03671 −0.0444484
\(545\) 11.0932 0.475180
\(546\) −25.9557 + 4.86050i −1.11080 + 0.208010i
\(547\) −21.7891 −0.931635 −0.465817 0.884881i \(-0.654240\pi\)
−0.465817 + 0.884881i \(0.654240\pi\)
\(548\) 9.02646 0.385591
\(549\) −0.806794 + 0.241572i −0.0344331 + 0.0103100i
\(550\) −7.91164 −0.337353
\(551\) 7.80642 + 4.50704i 0.332565 + 0.192006i
\(552\) 26.1235 + 3.05289i 1.11189 + 0.129940i
\(553\) 12.8479 + 3.75820i 0.546348 + 0.159815i
\(554\) 43.0367 1.82846
\(555\) 21.6426 + 16.1116i 0.918676 + 0.683901i
\(556\) 2.87070 + 1.65740i 0.121745 + 0.0702895i
\(557\) −12.3590 + 21.4064i −0.523667 + 0.907019i 0.475953 + 0.879471i \(0.342103\pi\)
−0.999620 + 0.0275479i \(0.991230\pi\)
\(558\) −2.73804 9.14443i −0.115911 0.387114i
\(559\) 6.83087 13.7468i 0.288915 0.581428i
\(560\) −5.00877 + 17.1232i −0.211659 + 0.723585i
\(561\) 0.771502 + 0.574339i 0.0325728 + 0.0242486i
\(562\) −32.7436 −1.38120
\(563\) 39.2749 1.65524 0.827621 0.561288i \(-0.189694\pi\)
0.827621 + 0.561288i \(0.189694\pi\)
\(564\) 3.29630 4.42787i 0.138799 0.186447i
\(565\) 11.8536 + 20.5310i 0.498683 + 0.863744i
\(566\) −27.4732 15.8617i −1.15479 0.666716i
\(567\) −5.34323 + 23.2045i −0.224394 + 0.974498i
\(568\) −17.0571 + 29.5437i −0.715699 + 1.23963i
\(569\) 10.9331i 0.458337i −0.973387 0.229169i \(-0.926399\pi\)
0.973387 0.229169i \(-0.0736007\pi\)
\(570\) 18.2184 + 2.12907i 0.763084 + 0.0891769i
\(571\) 13.5398 + 23.4516i 0.566621 + 0.981417i 0.996897 + 0.0787193i \(0.0250831\pi\)
−0.430276 + 0.902698i \(0.641584\pi\)
\(572\) 1.45414 2.92640i 0.0608008 0.122359i
\(573\) 10.8241 + 25.0917i 0.452183 + 1.04822i
\(574\) 26.6441 + 27.8864i 1.11210 + 1.16395i
\(575\) −17.2318 + 9.94877i −0.718614 + 0.414892i
\(576\) −13.7904 3.26783i −0.574600 0.136160i
\(577\) 15.2075 + 26.3401i 0.633095 + 1.09655i 0.986915 + 0.161239i \(0.0515490\pi\)
−0.353821 + 0.935313i \(0.615118\pi\)
\(578\) 26.9854 1.12244
\(579\) 10.0406 13.4875i 0.417275 0.560520i
\(580\) 1.48733 0.0617580
\(581\) −0.498116 + 0.121382i −0.0206654 + 0.00503577i
\(582\) −5.19939 3.87065i −0.215522 0.160443i
\(583\) 16.1364i 0.668303i
\(584\) −3.30267 5.72040i −0.136666 0.236712i
\(585\) −11.6789 9.71469i −0.482864 0.401653i
\(586\) −46.2106 26.6797i −1.90894 1.10213i
\(587\) 29.9874 17.3133i 1.23771 0.714595i 0.269088 0.963116i \(-0.413278\pi\)
0.968626 + 0.248521i \(0.0799445\pi\)
\(588\) −2.37823 6.28569i −0.0980767 0.259217i
\(589\) −4.69648 + 8.13455i −0.193515 + 0.335178i
\(590\) −5.21298 + 9.02915i −0.214615 + 0.371724i
\(591\) −1.23413 + 0.532380i −0.0507653 + 0.0218992i
\(592\) 53.2556i 2.18879i
\(593\) −12.5269 7.23240i −0.514418 0.296999i 0.220230 0.975448i \(-0.429319\pi\)
−0.734648 + 0.678449i \(0.762653\pi\)
\(594\) −8.72868 10.4012i −0.358142 0.426768i
\(595\) −0.354294 + 1.21120i −0.0145246 + 0.0496543i
\(596\) −2.19739 3.80599i −0.0900085 0.155899i
\(597\) 15.2814 + 1.78584i 0.625424 + 0.0730895i
\(598\) −2.36277 37.7975i −0.0966210 1.54566i
\(599\) 19.0068 10.9736i 0.776597 0.448369i −0.0586256 0.998280i \(-0.518672\pi\)
0.835223 + 0.549911i \(0.185338\pi\)
\(600\) 11.1253 4.79924i 0.454189 0.195928i
\(601\) −1.24957 + 0.721441i −0.0509711 + 0.0294282i −0.525269 0.850936i \(-0.676035\pi\)
0.474298 + 0.880364i \(0.342702\pi\)
\(602\) 17.2785 + 5.05422i 0.704219 + 0.205995i
\(603\) −24.9867 23.5719i −1.01754 0.959922i
\(604\) 1.47554 0.851902i 0.0600388 0.0346634i
\(605\) 11.6941i 0.475431i
\(606\) 6.75406 + 5.02801i 0.274365 + 0.204249i
\(607\) 7.53283 4.34908i 0.305748 0.176524i −0.339274 0.940688i \(-0.610181\pi\)
0.645022 + 0.764164i \(0.276848\pi\)
\(608\) −7.20095 12.4724i −0.292037 0.505823i
\(609\) 6.98959 5.27267i 0.283233 0.213659i
\(610\) 0.630116 0.0255127
\(611\) 18.5650 + 9.22502i 0.751058 + 0.373205i
\(612\) 0.549541 + 0.130222i 0.0222139 + 0.00526389i
\(613\) 32.9915 + 19.0476i 1.33251 + 0.769327i 0.985684 0.168601i \(-0.0539250\pi\)
0.346829 + 0.937928i \(0.387258\pi\)
\(614\) −47.6952 −1.92482
\(615\) −2.57541 + 22.0377i −0.103851 + 0.888645i
\(616\) −9.59331 2.80618i −0.386525 0.113064i
\(617\) 6.02653 10.4383i 0.242619 0.420229i −0.718840 0.695175i \(-0.755327\pi\)
0.961460 + 0.274946i \(0.0886601\pi\)
\(618\) −27.5549 + 37.0141i −1.10842 + 1.48893i
\(619\) −5.42135 9.39006i −0.217903 0.377418i 0.736264 0.676694i \(-0.236588\pi\)
−0.954167 + 0.299276i \(0.903255\pi\)
\(620\) 1.54985i 0.0622433i
\(621\) −32.0907 11.6780i −1.28776 0.468621i
\(622\) 18.3215 + 31.7337i 0.734625 + 1.27241i
\(623\) −12.7813 + 3.11456i −0.512071 + 0.124782i
\(624\) −1.61556 + 29.9409i −0.0646742 + 1.19859i
\(625\) 0.347889 0.602562i 0.0139156 0.0241025i
\(626\) 5.27197 + 3.04377i 0.210710 + 0.121654i
\(627\) −1.55092 + 13.2711i −0.0619377 + 0.529998i
\(628\) −5.84576 + 3.37505i −0.233271 + 0.134679i
\(629\) 3.76702i 0.150201i
\(630\) 8.80973 15.4852i 0.350988 0.616945i
\(631\) 8.16079 + 4.71164i 0.324876 + 0.187567i 0.653564 0.756871i \(-0.273273\pi\)
−0.328688 + 0.944439i \(0.606606\pi\)
\(632\) 5.84514 10.1241i 0.232507 0.402714i
\(633\) 2.10884 0.909714i 0.0838190 0.0361579i
\(634\) −9.62766 + 16.6756i −0.382363 + 0.662272i
\(635\) 5.63390i 0.223575i
\(636\) 3.75304 + 8.70007i 0.148818 + 0.344980i
\(637\) 21.6414 12.9865i 0.857464 0.514545i
\(638\) 4.99265i 0.197661i
\(639\) 30.3950 32.2192i 1.20241 1.27457i
\(640\) 16.6084 + 9.58886i 0.656504 + 0.379033i
\(641\) 27.6913i 1.09374i −0.837217 0.546871i \(-0.815819\pi\)
0.837217 0.546871i \(-0.184181\pi\)
\(642\) 0.290618 + 0.0339628i 0.0114698 + 0.00134040i
\(643\) 14.8425 25.7080i 0.585332 1.01383i −0.409502 0.912309i \(-0.634297\pi\)
0.994834 0.101516i \(-0.0323693\pi\)
\(644\) 9.36423 2.28189i 0.369002 0.0899191i
\(645\) 4.10214 + 9.50933i 0.161522 + 0.374429i
\(646\) −1.28045 2.21780i −0.0503785 0.0872581i
\(647\) −1.50329 + 2.60378i −0.0591005 + 0.102365i −0.894062 0.447944i \(-0.852157\pi\)
0.834961 + 0.550309i \(0.185490\pi\)
\(648\) 18.5837 + 9.33130i 0.730036 + 0.366568i
\(649\) −6.57726 3.79739i −0.258180 0.149060i
\(650\) −9.64882 14.5353i −0.378458 0.570122i
\(651\) 5.49430 + 7.28338i 0.215338 + 0.285458i
\(652\) 7.01522 4.05024i 0.274737 0.158620i
\(653\) 1.12654i 0.0440848i −0.999757 0.0220424i \(-0.992983\pi\)
0.999757 0.0220424i \(-0.00701688\pi\)
\(654\) 8.66075 + 20.0768i 0.338662 + 0.785066i
\(655\) 13.1723 7.60504i 0.514685 0.297154i
\(656\) 37.9268 21.8970i 1.48079 0.854936i
\(657\) 2.46004 + 8.21597i 0.0959754 + 0.320536i
\(658\) −6.82568 + 23.3345i −0.266093 + 0.909672i
\(659\) 31.0382 + 17.9199i 1.20908 + 0.698062i 0.962558 0.271076i \(-0.0873794\pi\)
0.246521 + 0.969138i \(0.420713\pi\)
\(660\) 0.873256 + 2.02433i 0.0339914 + 0.0787969i
\(661\) 5.41961 9.38704i 0.210798 0.365114i −0.741166 0.671322i \(-0.765727\pi\)
0.951965 + 0.306208i \(0.0990603\pi\)
\(662\) 25.3238 14.6207i 0.984239 0.568251i
\(663\) −0.114276 + 2.11786i −0.00443812 + 0.0822508i
\(664\) 0.447735i 0.0173755i
\(665\) −17.0326 + 4.15054i −0.660497 + 0.160951i
\(666\) −12.2625 + 51.7483i −0.475162 + 2.00521i
\(667\) 6.27819 + 10.8741i 0.243092 + 0.421048i
\(668\) −10.9707 + 6.33393i −0.424468 + 0.245067i
\(669\) 14.1188 6.09059i 0.545866 0.235476i
\(670\) 12.8505 + 22.2577i 0.496457 + 0.859888i
\(671\) 0.459007i 0.0177198i
\(672\) −13.8833 + 1.71190i −0.535560 + 0.0660379i
\(673\) 17.6543 + 30.5781i 0.680522 + 1.17870i 0.974822 + 0.222985i \(0.0715803\pi\)
−0.294300 + 0.955713i \(0.595086\pi\)
\(674\) −7.25849 −0.279587
\(675\) −15.4926 + 2.73269i −0.596312 + 0.105181i
\(676\) 7.14983 0.897398i 0.274994 0.0345153i
\(677\) −23.0601 + 39.9413i −0.886273 + 1.53507i −0.0420259 + 0.999117i \(0.513381\pi\)
−0.844247 + 0.535954i \(0.819952\pi\)
\(678\) −27.9033 + 37.4821i −1.07162 + 1.43949i
\(679\) 5.94606 + 1.73931i 0.228189 + 0.0667486i
\(680\) 0.954419 + 0.551034i 0.0366003 + 0.0211312i
\(681\) 17.3290 + 2.02514i 0.664049 + 0.0776033i
\(682\) −5.20251 −0.199214
\(683\) −38.2066 −1.46193 −0.730967 0.682412i \(-0.760931\pi\)
−0.730967 + 0.682412i \(0.760931\pi\)
\(684\) 2.25044 + 7.51594i 0.0860476 + 0.287379i
\(685\) −19.8062 11.4351i −0.756754 0.436912i
\(686\) 19.4521 + 22.3101i 0.742685 + 0.851804i
\(687\) −32.8984 24.4910i −1.25515 0.934389i
\(688\) 10.2207 17.7029i 0.389662 0.674915i
\(689\) −29.6460 + 19.6796i −1.12942 + 0.749732i
\(690\) 20.4949 + 15.2573i 0.780227 + 0.580834i
\(691\) −4.14439 −0.157660 −0.0788300 0.996888i \(-0.525118\pi\)
−0.0788300 + 0.996888i \(0.525118\pi\)
\(692\) 0.917625 + 1.58937i 0.0348829 + 0.0604189i
\(693\) 11.2802 + 6.41743i 0.428498 + 0.243778i
\(694\) 2.28506i 0.0867398i
\(695\) −4.19933 7.27345i −0.159290 0.275898i
\(696\) −3.02857 7.02065i −0.114798 0.266117i
\(697\) 2.68274 1.54888i 0.101616 0.0586680i
\(698\) 22.2746 + 38.5808i 0.843108 + 1.46031i
\(699\) −22.0880 + 29.6705i −0.835444 + 1.12224i
\(700\) 3.21031 3.06731i 0.121338 0.115933i
\(701\) 22.9284i 0.865994i 0.901395 + 0.432997i \(0.142544\pi\)
−0.901395 + 0.432997i \(0.857456\pi\)
\(702\) 8.46394 28.7215i 0.319451 1.08402i
\(703\) 45.3202 26.1656i 1.70928 0.986856i
\(704\) −3.86209 + 6.68934i −0.145558 + 0.252114i
\(705\) −12.8423 + 5.53990i −0.483668 + 0.208645i
\(706\) −3.47688 2.00738i −0.130854 0.0755486i
\(707\) −7.72400 2.25938i −0.290491 0.0849729i
\(708\) −4.42938 0.517634i −0.166466 0.0194539i
\(709\) −11.7302 + 6.77242i −0.440536 + 0.254344i −0.703825 0.710373i \(-0.748526\pi\)
0.263289 + 0.964717i \(0.415193\pi\)
\(710\) −28.7003 + 16.5701i −1.07710 + 0.621866i
\(711\) −10.4158 + 11.0409i −0.390622 + 0.414067i
\(712\) 11.4885i 0.430551i
\(713\) −11.3312 + 6.54208i −0.424357 + 0.245003i
\(714\) −2.46868 + 0.304404i −0.0923880 + 0.0113920i
\(715\) −6.89801 + 4.57903i −0.257971 + 0.171246i
\(716\) −6.22273 3.59269i −0.232554 0.134265i
\(717\) 0.810377 6.93437i 0.0302641 0.258969i
\(718\) 9.27652 16.0674i 0.346197 0.599630i
\(719\) 6.90486 + 11.9596i 0.257508 + 0.446017i 0.965574 0.260130i \(-0.0837653\pi\)
−0.708066 + 0.706146i \(0.750432\pi\)
\(720\) −14.7149 13.8817i −0.548392 0.517341i
\(721\) 12.3821 42.3297i 0.461132 1.57644i
\(722\) 2.60485 4.51173i 0.0969424 0.167909i
\(723\) 2.78956 23.8702i 0.103745 0.887742i
\(724\) 11.9002i 0.442267i
\(725\) 5.00944 + 2.89220i 0.186046 + 0.107414i
\(726\) 21.1643 9.12989i 0.785482 0.338842i
\(727\) 30.7983i 1.14225i −0.820864 0.571123i \(-0.806508\pi\)
0.820864 0.571123i \(-0.193492\pi\)
\(728\) −6.54420 21.0472i −0.242544 0.780062i
\(729\) −20.6852 17.3529i −0.766118 0.642700i
\(730\) 6.41678i 0.237496i
\(731\) 0.722961 1.25220i 0.0267397 0.0463145i
\(732\) 0.106757 + 0.247477i 0.00394584 + 0.00914700i
\(733\) 6.76543 11.7181i 0.249887 0.432817i −0.713607 0.700546i \(-0.752940\pi\)
0.963494 + 0.267729i \(0.0862732\pi\)
\(734\) 23.7938 + 13.7374i 0.878246 + 0.507055i
\(735\) −2.74457 + 16.8051i −0.101235 + 0.619866i
\(736\) 20.0615i 0.739475i
\(737\) −16.2135 + 9.36089i −0.597233 + 0.344813i
\(738\) −41.8953 + 12.5444i −1.54219 + 0.461764i
\(739\) −7.99192 4.61414i −0.293987 0.169734i 0.345751 0.938326i \(-0.387624\pi\)
−0.639739 + 0.768592i \(0.720957\pi\)
\(740\) 4.31735 7.47787i 0.158709 0.274892i
\(741\) −26.2733 + 13.3358i −0.965173 + 0.489902i
\(742\) −28.8286 30.1727i −1.05833 1.10767i
\(743\) −17.0947 29.6089i −0.627143 1.08624i −0.988122 0.153670i \(-0.950891\pi\)
0.360979 0.932574i \(-0.382443\pi\)
\(744\) 7.31575 3.15587i 0.268208 0.115700i
\(745\) 11.1350i 0.407953i
\(746\) −12.5942 21.8138i −0.461106 0.798658i
\(747\) 0.134044 0.565674i 0.00490442 0.0206969i
\(748\) 0.153903 0.266567i 0.00562723 0.00974666i
\(749\) −0.271703 + 0.0662091i −0.00992782 + 0.00241923i
\(750\) 30.9981 + 3.62256i 1.13189 + 0.132277i
\(751\) 43.6160 1.59157 0.795785 0.605580i \(-0.207059\pi\)
0.795785 + 0.605580i \(0.207059\pi\)
\(752\) 23.9075 + 13.8030i 0.871819 + 0.503345i
\(753\) 19.4266 + 14.4620i 0.707946 + 0.527026i
\(754\) −9.17254 + 6.08891i −0.334044 + 0.221745i
\(755\) −4.31690 −0.157108
\(756\) 7.57435 + 0.836443i 0.275476 + 0.0304212i
\(757\) −23.4718 40.6543i −0.853097 1.47761i −0.878399 0.477927i \(-0.841388\pi\)
0.0253024 0.999680i \(-0.491945\pi\)
\(758\) −32.2609 + 18.6259i −1.17177 + 0.676522i
\(759\) −11.1141 + 14.9295i −0.403417 + 0.541905i
\(760\) 15.3099i 0.555348i
\(761\) −15.8154 + 9.13101i −0.573307 + 0.330999i −0.758469 0.651709i \(-0.774052\pi\)
0.185162 + 0.982708i \(0.440719\pi\)
\(762\) 10.1964 4.39855i 0.369378 0.159343i
\(763\) −14.4368 15.1099i −0.522647 0.547014i
\(764\) 7.57366 4.37265i 0.274005 0.158197i
\(765\) −1.04085 0.981918i −0.0376321 0.0355013i
\(766\) −11.2269 + 6.48183i −0.405643 + 0.234198i
\(767\) −1.04488 16.7150i −0.0377283 0.603543i
\(768\) −2.48810 + 21.2906i −0.0897817 + 0.768259i
\(769\) −1.09135 1.89027i −0.0393550 0.0681649i 0.845677 0.533695i \(-0.179197\pi\)
−0.885032 + 0.465530i \(0.845864\pi\)
\(770\) −6.70783 7.02057i −0.241734 0.253004i
\(771\) −1.48088 + 12.6718i −0.0533326 + 0.456365i
\(772\) −4.66015 2.69054i −0.167722 0.0968346i
\(773\) 40.1598i 1.44445i −0.691659 0.722224i \(-0.743120\pi\)
0.691659 0.722224i \(-0.256880\pi\)
\(774\) −14.0077 + 14.8484i −0.503495 + 0.533715i