Properties

Label 273.2.r.b.269.3
Level $273$
Weight $2$
Character 273.269
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.r (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 269.3
Character \(\chi\) \(=\) 273.269
Dual form 273.2.r.b.68.30

$q$-expansion

\(f(q)\) \(=\) \(q-2.39671i q^{2} +(1.36987 - 1.05994i) q^{3} -3.74420 q^{4} +(-1.10064 - 1.90637i) q^{5} +(-2.54036 - 3.28317i) q^{6} +(-1.62460 + 2.08822i) q^{7} +4.18035i q^{8} +(0.753071 - 2.90394i) q^{9} +O(q^{10})\) \(q-2.39671i q^{2} +(1.36987 - 1.05994i) q^{3} -3.74420 q^{4} +(-1.10064 - 1.90637i) q^{5} +(-2.54036 - 3.28317i) q^{6} +(-1.62460 + 2.08822i) q^{7} +4.18035i q^{8} +(0.753071 - 2.90394i) q^{9} +(-4.56901 + 2.63792i) q^{10} +(-1.30172 + 0.751546i) q^{11} +(-5.12906 + 3.96862i) q^{12} +(3.47069 - 0.976871i) q^{13} +(5.00485 + 3.89370i) q^{14} +(-3.52837 - 1.44486i) q^{15} +2.53065 q^{16} +4.90720 q^{17} +(-6.95990 - 1.80489i) q^{18} +(-2.77060 - 1.59960i) q^{19} +(4.12104 + 7.13784i) q^{20} +(-0.0121093 + 4.58256i) q^{21} +(1.80123 + 3.11983i) q^{22} -4.94443i q^{23} +(4.43090 + 5.72652i) q^{24} +(0.0771661 - 0.133656i) q^{25} +(-2.34127 - 8.31824i) q^{26} +(-2.04639 - 4.77622i) q^{27} +(6.08284 - 7.81872i) q^{28} +(0.775914 + 0.447974i) q^{29} +(-3.46291 + 8.45646i) q^{30} +(2.33226 + 1.34653i) q^{31} +2.29545i q^{32} +(-0.986586 + 2.40925i) q^{33} -11.7611i q^{34} +(5.76903 + 0.798709i) q^{35} +(-2.81965 + 10.8730i) q^{36} +10.0463 q^{37} +(-3.83378 + 6.64031i) q^{38} +(3.71897 - 5.01690i) q^{39} +(7.96929 - 4.60107i) q^{40} +(-4.98596 + 8.63593i) q^{41} +(10.9831 + 0.0290223i) q^{42} +(-0.820714 - 1.42152i) q^{43} +(4.87389 - 2.81394i) q^{44} +(-6.36486 + 1.76057i) q^{45} -11.8504 q^{46} +(0.165217 + 0.286164i) q^{47} +(3.46666 - 2.68233i) q^{48} +(-1.72133 - 6.78506i) q^{49} +(-0.320334 - 0.184945i) q^{50} +(6.72221 - 5.20132i) q^{51} +(-12.9950 + 3.65760i) q^{52} +(5.36111 + 3.09524i) q^{53} +(-11.4472 + 4.90459i) q^{54} +(2.86545 + 1.65437i) q^{55} +(-8.72948 - 6.79140i) q^{56} +(-5.49083 + 0.745410i) q^{57} +(1.07366 - 1.85964i) q^{58} -13.8477 q^{59} +(13.2109 + 5.40986i) q^{60} +(2.44902 + 1.41394i) q^{61} +(3.22724 - 5.58975i) q^{62} +(4.84063 + 6.29033i) q^{63} +10.5628 q^{64} +(-5.68228 - 5.54125i) q^{65} +(5.77427 + 2.36456i) q^{66} +(3.46728 + 6.00551i) q^{67} -18.3736 q^{68} +(-5.24078 - 6.77322i) q^{69} +(1.91427 - 13.8267i) q^{70} +(13.9370 - 8.04655i) q^{71} +(12.1395 + 3.14810i) q^{72} +(-2.87045 - 1.65726i) q^{73} -24.0780i q^{74} +(-0.0359591 - 0.264882i) q^{75} +(10.3737 + 5.98924i) q^{76} +(0.545377 - 3.93923i) q^{77} +(-12.0240 - 8.91328i) q^{78} +(-3.02508 - 5.23959i) q^{79} +(-2.78535 - 4.82437i) q^{80} +(-7.86577 - 4.37375i) q^{81} +(20.6978 + 11.9499i) q^{82} -2.74309 q^{83} +(0.0453395 - 17.1580i) q^{84} +(-5.40108 - 9.35495i) q^{85} +(-3.40696 + 1.96701i) q^{86} +(1.53772 - 0.208754i) q^{87} +(-3.14172 - 5.44162i) q^{88} +12.6297 q^{89} +(4.21958 + 15.2547i) q^{90} +(-3.59858 + 8.83460i) q^{91} +18.5130i q^{92} +(4.62213 - 0.627479i) q^{93} +(0.685851 - 0.395976i) q^{94} +7.04238i q^{95} +(2.43303 + 3.14446i) q^{96} +(-11.5690 + 6.67939i) q^{97} +(-16.2618 + 4.12552i) q^{98} +(1.20216 + 4.34607i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.39671i 1.69473i −0.531013 0.847364i \(-0.678188\pi\)
0.531013 0.847364i \(-0.321812\pi\)
\(3\) 1.36987 1.05994i 0.790893 0.611954i
\(4\) −3.74420 −1.87210
\(5\) −1.10064 1.90637i −0.492223 0.852555i 0.507737 0.861512i \(-0.330482\pi\)
−0.999960 + 0.00895706i \(0.997149\pi\)
\(6\) −2.54036 3.28317i −1.03710 1.34035i
\(7\) −1.62460 + 2.08822i −0.614042 + 0.789273i
\(8\) 4.18035i 1.47798i
\(9\) 0.753071 2.90394i 0.251024 0.967981i
\(10\) −4.56901 + 2.63792i −1.44485 + 0.834184i
\(11\) −1.30172 + 0.751546i −0.392482 + 0.226600i −0.683235 0.730199i \(-0.739428\pi\)
0.290753 + 0.956798i \(0.406094\pi\)
\(12\) −5.12906 + 3.96862i −1.48063 + 1.14564i
\(13\) 3.47069 0.976871i 0.962598 0.270935i
\(14\) 5.00485 + 3.89370i 1.33760 + 1.04063i
\(15\) −3.52837 1.44486i −0.911021 0.373062i
\(16\) 2.53065 0.632664
\(17\) 4.90720 1.19017 0.595085 0.803662i \(-0.297118\pi\)
0.595085 + 0.803662i \(0.297118\pi\)
\(18\) −6.95990 1.80489i −1.64046 0.425417i
\(19\) −2.77060 1.59960i −0.635618 0.366974i 0.147306 0.989091i \(-0.452940\pi\)
−0.782925 + 0.622117i \(0.786273\pi\)
\(20\) 4.12104 + 7.13784i 0.921491 + 1.59607i
\(21\) −0.0121093 + 4.58256i −0.00264246 + 0.999997i
\(22\) 1.80123 + 3.11983i 0.384025 + 0.665150i
\(23\) 4.94443i 1.03099i −0.856894 0.515493i \(-0.827609\pi\)
0.856894 0.515493i \(-0.172391\pi\)
\(24\) 4.43090 + 5.72652i 0.904454 + 1.16892i
\(25\) 0.0771661 0.133656i 0.0154332 0.0267311i
\(26\) −2.34127 8.31824i −0.459161 1.63134i
\(27\) −2.04639 4.77622i −0.393827 0.919184i
\(28\) 6.08284 7.81872i 1.14955 1.47760i
\(29\) 0.775914 + 0.447974i 0.144084 + 0.0831867i 0.570309 0.821430i \(-0.306824\pi\)
−0.426225 + 0.904617i \(0.640157\pi\)
\(30\) −3.46291 + 8.45646i −0.632238 + 1.54393i
\(31\) 2.33226 + 1.34653i 0.418886 + 0.241844i 0.694601 0.719395i \(-0.255581\pi\)
−0.275714 + 0.961240i \(0.588914\pi\)
\(32\) 2.29545i 0.405783i
\(33\) −0.986586 + 2.40925i −0.171743 + 0.419397i
\(34\) 11.7611i 2.01702i
\(35\) 5.76903 + 0.798709i 0.975145 + 0.135006i
\(36\) −2.81965 + 10.8730i −0.469942 + 1.81216i
\(37\) 10.0463 1.65160 0.825800 0.563964i \(-0.190724\pi\)
0.825800 + 0.563964i \(0.190724\pi\)
\(38\) −3.83378 + 6.64031i −0.621922 + 1.07720i
\(39\) 3.71897 5.01690i 0.595512 0.803347i
\(40\) 7.96929 4.60107i 1.26006 0.727493i
\(41\) −4.98596 + 8.63593i −0.778676 + 1.34871i 0.154030 + 0.988066i \(0.450775\pi\)
−0.932705 + 0.360639i \(0.882559\pi\)
\(42\) 10.9831 + 0.0290223i 1.69472 + 0.00447825i
\(43\) −0.820714 1.42152i −0.125158 0.216780i 0.796637 0.604458i \(-0.206610\pi\)
−0.921795 + 0.387679i \(0.873277\pi\)
\(44\) 4.87389 2.81394i 0.734766 0.424217i
\(45\) −6.36486 + 1.76057i −0.948817 + 0.262451i
\(46\) −11.8504 −1.74724
\(47\) 0.165217 + 0.286164i 0.0240993 + 0.0417413i 0.877824 0.478984i \(-0.158995\pi\)
−0.853724 + 0.520725i \(0.825662\pi\)
\(48\) 3.46666 2.68233i 0.500369 0.387161i
\(49\) −1.72133 6.78506i −0.245904 0.969294i
\(50\) −0.320334 0.184945i −0.0453020 0.0261551i
\(51\) 6.72221 5.20132i 0.941298 0.728330i
\(52\) −12.9950 + 3.65760i −1.80208 + 0.507218i
\(53\) 5.36111 + 3.09524i 0.736404 + 0.425163i 0.820761 0.571272i \(-0.193550\pi\)
−0.0843561 + 0.996436i \(0.526883\pi\)
\(54\) −11.4472 + 4.90459i −1.55777 + 0.667430i
\(55\) 2.86545 + 1.65437i 0.386377 + 0.223075i
\(56\) −8.72948 6.79140i −1.16653 0.907539i
\(57\) −5.49083 + 0.745410i −0.727278 + 0.0987319i
\(58\) 1.07366 1.85964i 0.140979 0.244182i
\(59\) −13.8477 −1.80282 −0.901410 0.432966i \(-0.857467\pi\)
−0.901410 + 0.432966i \(0.857467\pi\)
\(60\) 13.2109 + 5.40986i 1.70552 + 0.698410i
\(61\) 2.44902 + 1.41394i 0.313565 + 0.181037i 0.648521 0.761197i \(-0.275388\pi\)
−0.334956 + 0.942234i \(0.608721\pi\)
\(62\) 3.22724 5.58975i 0.409860 0.709899i
\(63\) 4.84063 + 6.29033i 0.609862 + 0.792507i
\(64\) 10.5628 1.32035
\(65\) −5.68228 5.54125i −0.704800 0.687307i
\(66\) 5.77427 + 2.36456i 0.710764 + 0.291057i
\(67\) 3.46728 + 6.00551i 0.423596 + 0.733690i 0.996288 0.0860807i \(-0.0274343\pi\)
−0.572692 + 0.819771i \(0.694101\pi\)
\(68\) −18.3736 −2.22812
\(69\) −5.24078 6.77322i −0.630916 0.815399i
\(70\) 1.91427 13.8267i 0.228799 1.65260i
\(71\) 13.9370 8.04655i 1.65402 0.954950i 0.678628 0.734482i \(-0.262575\pi\)
0.975394 0.220469i \(-0.0707586\pi\)
\(72\) 12.1395 + 3.14810i 1.43065 + 0.371007i
\(73\) −2.87045 1.65726i −0.335961 0.193967i 0.322524 0.946561i \(-0.395469\pi\)
−0.658485 + 0.752594i \(0.728802\pi\)
\(74\) 24.0780i 2.79901i
\(75\) −0.0359591 0.264882i −0.00415220 0.0305859i
\(76\) 10.3737 + 5.98924i 1.18994 + 0.687014i
\(77\) 0.545377 3.93923i 0.0621515 0.448917i
\(78\) −12.0240 8.91328i −1.36145 1.00923i
\(79\) −3.02508 5.23959i −0.340348 0.589500i 0.644149 0.764900i \(-0.277211\pi\)
−0.984497 + 0.175400i \(0.943878\pi\)
\(80\) −2.78535 4.82437i −0.311412 0.539381i
\(81\) −7.86577 4.37375i −0.873974 0.485972i
\(82\) 20.6978 + 11.9499i 2.28569 + 1.31964i
\(83\) −2.74309 −0.301094 −0.150547 0.988603i \(-0.548103\pi\)
−0.150547 + 0.988603i \(0.548103\pi\)
\(84\) 0.0453395 17.1580i 0.00494695 1.87210i
\(85\) −5.40108 9.35495i −0.585829 1.01469i
\(86\) −3.40696 + 1.96701i −0.367382 + 0.212108i
\(87\) 1.53772 0.208754i 0.164861 0.0223808i
\(88\) −3.14172 5.44162i −0.334909 0.580079i
\(89\) 12.6297 1.33874 0.669372 0.742928i \(-0.266563\pi\)
0.669372 + 0.742928i \(0.266563\pi\)
\(90\) 4.21958 + 15.2547i 0.444783 + 1.60799i
\(91\) −3.59858 + 8.83460i −0.377234 + 0.926118i
\(92\) 18.5130i 1.93011i
\(93\) 4.62213 0.627479i 0.479292 0.0650665i
\(94\) 0.685851 0.395976i 0.0707401 0.0408418i
\(95\) 7.04238i 0.722533i
\(96\) 2.43303 + 3.14446i 0.248320 + 0.320931i
\(97\) −11.5690 + 6.67939i −1.17466 + 0.678190i −0.954773 0.297336i \(-0.903902\pi\)
−0.219886 + 0.975526i \(0.570568\pi\)
\(98\) −16.2618 + 4.12552i −1.64269 + 0.416741i
\(99\) 1.20216 + 4.34607i 0.120822 + 0.436797i
\(100\) −0.288926 + 0.500434i −0.0288926 + 0.0500434i
\(101\) 8.75688 + 15.1674i 0.871342 + 1.50921i 0.860609 + 0.509267i \(0.170083\pi\)
0.0107340 + 0.999942i \(0.496583\pi\)
\(102\) −12.4660 16.1112i −1.23432 1.59524i
\(103\) 2.76437 1.59601i 0.272381 0.157259i −0.357588 0.933879i \(-0.616401\pi\)
0.629969 + 0.776620i \(0.283067\pi\)
\(104\) 4.08366 + 14.5087i 0.400436 + 1.42270i
\(105\) 8.74939 5.02068i 0.853853 0.489968i
\(106\) 7.41837 12.8490i 0.720536 1.24801i
\(107\) 2.05885i 0.199036i 0.995036 + 0.0995181i \(0.0317301\pi\)
−0.995036 + 0.0995181i \(0.968270\pi\)
\(108\) 7.66209 + 17.8831i 0.737285 + 1.72081i
\(109\) 2.54162 4.40221i 0.243443 0.421656i −0.718250 0.695785i \(-0.755056\pi\)
0.961693 + 0.274130i \(0.0883898\pi\)
\(110\) 3.96504 6.86764i 0.378051 0.654804i
\(111\) 13.7621 10.6484i 1.30624 1.01070i
\(112\) −4.11131 + 5.28457i −0.388482 + 0.499345i
\(113\) 3.72227 2.14905i 0.350161 0.202166i −0.314595 0.949226i \(-0.601869\pi\)
0.664756 + 0.747060i \(0.268535\pi\)
\(114\) 1.78653 + 13.1599i 0.167324 + 1.23254i
\(115\) −9.42593 + 5.44206i −0.878972 + 0.507475i
\(116\) −2.90518 1.67731i −0.269739 0.155734i
\(117\) −0.223099 10.8144i −0.0206255 0.999787i
\(118\) 33.1889i 3.05529i
\(119\) −7.97225 + 10.2473i −0.730815 + 0.939370i
\(120\) 6.04002 14.7498i 0.551376 1.34647i
\(121\) −4.37036 + 7.56968i −0.397305 + 0.688153i
\(122\) 3.38881 5.86959i 0.306808 0.531408i
\(123\) 2.32344 + 17.1149i 0.209497 + 1.54320i
\(124\) −8.73246 5.04169i −0.784198 0.452757i
\(125\) −11.3462 −1.01483
\(126\) 15.0761 11.6016i 1.34308 1.03355i
\(127\) −8.84285 + 15.3163i −0.784676 + 1.35910i 0.144516 + 0.989502i \(0.453837\pi\)
−0.929192 + 0.369596i \(0.879496\pi\)
\(128\) 20.7251i 1.83186i
\(129\) −2.63099 1.07739i −0.231646 0.0948586i
\(130\) −13.2807 + 13.6188i −1.16480 + 1.19444i
\(131\) 6.22200 + 10.7768i 0.543619 + 0.941576i 0.998692 + 0.0511218i \(0.0162797\pi\)
−0.455073 + 0.890454i \(0.650387\pi\)
\(132\) 3.69398 9.02073i 0.321520 0.785154i
\(133\) 7.84145 3.18689i 0.679940 0.276339i
\(134\) 14.3934 8.31006i 1.24340 0.717880i
\(135\) −6.85291 + 9.15809i −0.589804 + 0.788203i
\(136\) 20.5138i 1.75904i
\(137\) 9.44464i 0.806910i −0.914999 0.403455i \(-0.867809\pi\)
0.914999 0.403455i \(-0.132191\pi\)
\(138\) −16.2334 + 12.5606i −1.38188 + 1.06923i
\(139\) −3.90386 + 2.25389i −0.331121 + 0.191173i −0.656339 0.754466i \(-0.727896\pi\)
0.325218 + 0.945639i \(0.394562\pi\)
\(140\) −21.6004 2.99053i −1.82557 0.252746i
\(141\) 0.529640 + 0.216887i 0.0446038 + 0.0182652i
\(142\) −19.2852 33.4030i −1.61838 2.80312i
\(143\) −3.78369 + 3.87999i −0.316408 + 0.324461i
\(144\) 1.90576 7.34888i 0.158813 0.612406i
\(145\) 1.97224i 0.163786i
\(146\) −3.97196 + 6.87963i −0.328722 + 0.569362i
\(147\) −9.54972 7.47013i −0.787648 0.616126i
\(148\) −37.6153 −3.09196
\(149\) 16.3166 + 9.42041i 1.33671 + 0.771750i 0.986318 0.164853i \(-0.0527150\pi\)
0.350392 + 0.936603i \(0.386048\pi\)
\(150\) −0.634844 + 0.0861835i −0.0518348 + 0.00703686i
\(151\) −4.12058 + 7.13706i −0.335328 + 0.580805i −0.983548 0.180648i \(-0.942181\pi\)
0.648220 + 0.761453i \(0.275514\pi\)
\(152\) 6.68690 11.5820i 0.542379 0.939428i
\(153\) 3.69547 14.2502i 0.298761 1.15206i
\(154\) −9.44119 1.30711i −0.760792 0.105330i
\(155\) 5.92821i 0.476165i
\(156\) −13.9246 + 18.7843i −1.11486 + 1.50395i
\(157\) 12.0751 + 6.97157i 0.963699 + 0.556392i 0.897310 0.441402i \(-0.145519\pi\)
0.0663895 + 0.997794i \(0.478852\pi\)
\(158\) −12.5578 + 7.25023i −0.999042 + 0.576797i
\(159\) 10.6248 1.44237i 0.842598 0.114387i
\(160\) 4.37599 2.52648i 0.345952 0.199735i
\(161\) 10.3251 + 8.03274i 0.813729 + 0.633069i
\(162\) −10.4826 + 18.8519i −0.823590 + 1.48115i
\(163\) −5.61643 + 9.72795i −0.439913 + 0.761952i −0.997682 0.0680444i \(-0.978324\pi\)
0.557769 + 0.829996i \(0.311657\pi\)
\(164\) 18.6684 32.3347i 1.45776 2.52491i
\(165\) 5.67881 0.770930i 0.442095 0.0600168i
\(166\) 6.57439i 0.510272i
\(167\) 2.80640 4.86082i 0.217165 0.376142i −0.736775 0.676138i \(-0.763652\pi\)
0.953940 + 0.299997i \(0.0969855\pi\)
\(168\) −19.1567 0.0506209i −1.47797 0.00390549i
\(169\) 11.0914 6.78084i 0.853188 0.521603i
\(170\) −22.4211 + 12.9448i −1.71962 + 0.992821i
\(171\) −6.73161 + 6.84104i −0.514779 + 0.523147i
\(172\) 3.07292 + 5.32246i 0.234308 + 0.405834i
\(173\) −11.9534 + 20.7038i −0.908797 + 1.57408i −0.0930589 + 0.995661i \(0.529664\pi\)
−0.815738 + 0.578422i \(0.803669\pi\)
\(174\) −0.500323 3.68547i −0.0379294 0.279395i
\(175\) 0.153738 + 0.378277i 0.0116215 + 0.0285951i
\(176\) −3.29419 + 1.90190i −0.248309 + 0.143361i
\(177\) −18.9695 + 14.6777i −1.42584 + 1.10324i
\(178\) 30.2696i 2.26881i
\(179\) 16.9456 9.78353i 1.26657 0.731255i 0.292233 0.956347i \(-0.405602\pi\)
0.974338 + 0.225092i \(0.0722682\pi\)
\(180\) 23.8313 6.59195i 1.77628 0.491335i
\(181\) 1.52824i 0.113593i 0.998386 + 0.0567967i \(0.0180887\pi\)
−0.998386 + 0.0567967i \(0.981911\pi\)
\(182\) 21.1740 + 8.62474i 1.56952 + 0.639308i
\(183\) 4.85352 0.658893i 0.358783 0.0487067i
\(184\) 20.6694 1.52377
\(185\) −11.0574 19.1519i −0.812955 1.40808i
\(186\) −1.50388 11.0779i −0.110270 0.812270i
\(187\) −6.38778 + 3.68799i −0.467121 + 0.269692i
\(188\) −0.618605 1.07146i −0.0451164 0.0781439i
\(189\) 13.2984 + 3.48616i 0.967314 + 0.253581i
\(190\) 16.8785 1.22450
\(191\) −5.34689 3.08703i −0.386887 0.223370i 0.293923 0.955829i \(-0.405039\pi\)
−0.680811 + 0.732459i \(0.738372\pi\)
\(192\) 14.4697 11.1959i 1.04426 0.807997i
\(193\) −5.22852 9.05607i −0.376357 0.651870i 0.614172 0.789172i \(-0.289490\pi\)
−0.990529 + 0.137302i \(0.956157\pi\)
\(194\) 16.0085 + 27.7276i 1.14935 + 1.99073i
\(195\) −13.6573 1.56792i −0.978022 0.112281i
\(196\) 6.44501 + 25.4046i 0.460358 + 1.81462i
\(197\) −4.00557 2.31262i −0.285385 0.164767i 0.350474 0.936573i \(-0.386021\pi\)
−0.635859 + 0.771805i \(0.719354\pi\)
\(198\) 10.4163 2.88123i 0.740252 0.204760i
\(199\) 8.76573i 0.621386i −0.950510 0.310693i \(-0.899439\pi\)
0.950510 0.310693i \(-0.100561\pi\)
\(200\) 0.558727 + 0.322581i 0.0395080 + 0.0228099i
\(201\) 11.1152 + 4.55165i 0.784004 + 0.321049i
\(202\) 36.3517 20.9877i 2.55770 1.47669i
\(203\) −2.19602 + 0.892499i −0.154130 + 0.0626412i
\(204\) −25.1693 + 19.4748i −1.76221 + 1.36351i
\(205\) 21.9510 1.53313
\(206\) −3.82517 6.62538i −0.266512 0.461612i
\(207\) −14.3584 3.72351i −0.997975 0.258802i
\(208\) 8.78313 2.47212i 0.609001 0.171411i
\(209\) 4.80870 0.332625
\(210\) −12.0331 20.9697i −0.830363 1.44705i
\(211\) 0.494306 0.856163i 0.0340294 0.0589407i −0.848509 0.529181i \(-0.822499\pi\)
0.882539 + 0.470240i \(0.155833\pi\)
\(212\) −20.0731 11.5892i −1.37862 0.795949i
\(213\) 10.5631 25.7951i 0.723769 1.76745i
\(214\) 4.93445 0.337312
\(215\) −1.80663 + 3.12917i −0.123211 + 0.213408i
\(216\) 19.9663 8.55461i 1.35853 0.582067i
\(217\) −6.60085 + 2.68270i −0.448095 + 0.182113i
\(218\) −10.5508 6.09152i −0.714591 0.412570i
\(219\) −5.68872 + 0.772275i −0.384408 + 0.0521855i
\(220\) −10.7288 6.19429i −0.723338 0.417619i
\(221\) 17.0314 4.79370i 1.14566 0.322459i
\(222\) −25.5211 32.9837i −1.71287 2.21372i
\(223\) −18.4022 10.6245i −1.23230 0.711471i −0.264795 0.964305i \(-0.585304\pi\)
−0.967510 + 0.252833i \(0.918638\pi\)
\(224\) −4.79341 3.72920i −0.320273 0.249168i
\(225\) −0.330017 0.324738i −0.0220011 0.0216492i
\(226\) −5.15065 8.92118i −0.342616 0.593428i
\(227\) −3.98583 −0.264549 −0.132274 0.991213i \(-0.542228\pi\)
−0.132274 + 0.991213i \(0.542228\pi\)
\(228\) 20.5588 2.79097i 1.36154 0.184836i
\(229\) 1.31206 0.757520i 0.0867036 0.0500583i −0.456021 0.889969i \(-0.650726\pi\)
0.542725 + 0.839910i \(0.317393\pi\)
\(230\) 13.0430 + 22.5912i 0.860032 + 1.48962i
\(231\) −3.42824 5.97429i −0.225562 0.393079i
\(232\) −1.87269 + 3.24359i −0.122948 + 0.212952i
\(233\) −5.86812 + 3.38796i −0.384433 + 0.221953i −0.679745 0.733448i \(-0.737910\pi\)
0.295312 + 0.955401i \(0.404576\pi\)
\(234\) −25.9188 + 0.534703i −1.69437 + 0.0349546i
\(235\) 0.363690 0.629929i 0.0237245 0.0410920i
\(236\) 51.8487 3.37506
\(237\) −9.69758 3.97115i −0.629926 0.257954i
\(238\) 24.5598 + 19.1072i 1.59198 + 1.23853i
\(239\) 15.4434i 0.998954i −0.866327 0.499477i \(-0.833526\pi\)
0.866327 0.499477i \(-0.166474\pi\)
\(240\) −8.92908 3.65645i −0.576370 0.236023i
\(241\) 7.03908i 0.453427i 0.973962 + 0.226713i \(0.0727981\pi\)
−0.973962 + 0.226713i \(0.927202\pi\)
\(242\) 18.1423 + 10.4745i 1.16623 + 0.673324i
\(243\) −15.4110 + 2.34576i −0.988613 + 0.150481i
\(244\) −9.16964 5.29409i −0.587026 0.338920i
\(245\) −11.0403 + 10.7494i −0.705337 + 0.686756i
\(246\) 41.0193 5.56860i 2.61530 0.355041i
\(247\) −11.1785 2.84522i −0.711271 0.181037i
\(248\) −5.62897 + 9.74966i −0.357440 + 0.619104i
\(249\) −3.75767 + 2.90750i −0.238133 + 0.184256i
\(250\) 27.1934i 1.71986i
\(251\) 1.69284 + 2.93209i 0.106851 + 0.185072i 0.914493 0.404602i \(-0.132590\pi\)
−0.807642 + 0.589673i \(0.799256\pi\)
\(252\) −18.1243 23.5523i −1.14172 1.48365i
\(253\) 3.71597 + 6.43625i 0.233621 + 0.404643i
\(254\) 36.7086 + 21.1937i 2.30330 + 1.32981i
\(255\) −17.3144 7.09023i −1.08427 0.444007i
\(256\) −28.5464 −1.78415
\(257\) −20.6197 −1.28622 −0.643112 0.765772i \(-0.722357\pi\)
−0.643112 + 0.765772i \(0.722357\pi\)
\(258\) −2.58218 + 6.30571i −0.160760 + 0.392576i
\(259\) −16.3212 + 20.9789i −1.01415 + 1.30356i
\(260\) 21.2756 + 20.7476i 1.31946 + 1.28671i
\(261\) 1.88521 1.91585i 0.116692 0.118588i
\(262\) 25.8289 14.9123i 1.59571 0.921286i
\(263\) 4.80598 2.77473i 0.296349 0.171097i −0.344452 0.938804i \(-0.611935\pi\)
0.640802 + 0.767706i \(0.278602\pi\)
\(264\) −10.0715 4.12427i −0.619859 0.253831i
\(265\) 13.6270i 0.837100i
\(266\) −7.63805 18.7936i −0.468319 1.15231i
\(267\) 17.3010 13.3867i 1.05880 0.819250i
\(268\) −12.9822 22.4859i −0.793015 1.37354i
\(269\) −9.16772 −0.558966 −0.279483 0.960151i \(-0.590163\pi\)
−0.279483 + 0.960151i \(0.590163\pi\)
\(270\) 21.9493 + 16.4244i 1.33579 + 0.999558i
\(271\) 6.82441i 0.414553i −0.978282 0.207277i \(-0.933540\pi\)
0.978282 0.207277i \(-0.0664600\pi\)
\(272\) 12.4184 0.752978
\(273\) 4.43454 + 15.9165i 0.268391 + 0.963310i
\(274\) −22.6360 −1.36749
\(275\) 0.231976i 0.0139887i
\(276\) 19.6226 + 25.3603i 1.18114 + 1.52651i
\(277\) −2.96712 −0.178277 −0.0891385 0.996019i \(-0.528411\pi\)
−0.0891385 + 0.996019i \(0.528411\pi\)
\(278\) 5.40192 + 9.35640i 0.323986 + 0.561160i
\(279\) 5.66661 5.75872i 0.339251 0.344766i
\(280\) −3.33888 + 24.1165i −0.199536 + 1.44124i
\(281\) 25.9693i 1.54920i −0.632454 0.774598i \(-0.717952\pi\)
0.632454 0.774598i \(-0.282048\pi\)
\(282\) 0.519815 1.26939i 0.0309545 0.0755912i
\(283\) −9.43593 + 5.44784i −0.560908 + 0.323840i −0.753510 0.657437i \(-0.771641\pi\)
0.192602 + 0.981277i \(0.438307\pi\)
\(284\) −52.1831 + 30.1279i −3.09650 + 1.78776i
\(285\) 7.46447 + 9.64712i 0.442157 + 0.571446i
\(286\) 9.29921 + 9.06840i 0.549874 + 0.536226i
\(287\) −9.93353 24.4417i −0.586358 1.44275i
\(288\) 6.66586 + 1.72864i 0.392790 + 0.101861i
\(289\) 7.08062 0.416507
\(290\) −4.72688 −0.277572
\(291\) −8.76832 + 21.4123i −0.514008 + 1.25521i
\(292\) 10.7476 + 6.20511i 0.628953 + 0.363126i
\(293\) −5.70408 9.87975i −0.333236 0.577181i 0.649909 0.760012i \(-0.274807\pi\)
−0.983144 + 0.182831i \(0.941474\pi\)
\(294\) −17.9037 + 22.8879i −1.04417 + 1.33485i
\(295\) 15.2414 + 26.3989i 0.887390 + 1.53700i
\(296\) 41.9969i 2.44102i
\(297\) 6.25336 + 4.67933i 0.362857 + 0.271522i
\(298\) 22.5780 39.1062i 1.30791 2.26536i
\(299\) −4.83007 17.1606i −0.279330 0.992424i
\(300\) 0.134638 + 0.991771i 0.00777335 + 0.0572599i
\(301\) 4.30178 + 0.595571i 0.247951 + 0.0343282i
\(302\) 17.1054 + 9.87583i 0.984307 + 0.568290i
\(303\) 28.0722 + 11.4955i 1.61271 + 0.660401i
\(304\) −7.01142 4.04805i −0.402133 0.232171i
\(305\) 6.22499i 0.356442i
\(306\) −34.1536 8.85696i −1.95243 0.506318i
\(307\) 1.16158i 0.0662951i −0.999450 0.0331476i \(-0.989447\pi\)
0.999450 0.0331476i \(-0.0105531\pi\)
\(308\) −2.04200 + 14.7493i −0.116354 + 0.840419i
\(309\) 2.09515 5.11637i 0.119189 0.291060i
\(310\) −14.2082 −0.806970
\(311\) −3.49022 + 6.04524i −0.197912 + 0.342794i −0.947851 0.318713i \(-0.896749\pi\)
0.749939 + 0.661507i \(0.230083\pi\)
\(312\) 20.9724 + 15.5466i 1.18733 + 0.880152i
\(313\) 17.1288 9.88930i 0.968175 0.558976i 0.0694956 0.997582i \(-0.477861\pi\)
0.898679 + 0.438606i \(0.144528\pi\)
\(314\) 16.7088 28.9405i 0.942933 1.63321i
\(315\) 6.66389 16.1515i 0.375468 0.910032i
\(316\) 11.3265 + 19.6181i 0.637166 + 1.10360i
\(317\) −6.37868 + 3.68273i −0.358262 + 0.206843i −0.668318 0.743875i \(-0.732986\pi\)
0.310056 + 0.950718i \(0.399652\pi\)
\(318\) −3.45693 25.4644i −0.193855 1.42797i
\(319\) −1.34669 −0.0754003
\(320\) −11.6259 20.1367i −0.649909 1.12568i
\(321\) 2.18225 + 2.82035i 0.121801 + 0.157416i
\(322\) 19.2521 24.7462i 1.07288 1.37905i
\(323\) −13.5959 7.84958i −0.756494 0.436762i
\(324\) 29.4510 + 16.3762i 1.63617 + 0.909789i
\(325\) 0.137256 0.539259i 0.00761358 0.0299127i
\(326\) 23.3150 + 13.4609i 1.29130 + 0.745533i
\(327\) −1.18439 8.72440i −0.0654967 0.482461i
\(328\) −36.1012 20.8430i −1.99335 1.15086i
\(329\) −0.865985 0.119894i −0.0477433 0.00660995i
\(330\) −1.84769 13.6104i −0.101712 0.749230i
\(331\) −1.15274 + 1.99660i −0.0633601 + 0.109743i −0.895965 0.444124i \(-0.853515\pi\)
0.832605 + 0.553867i \(0.186848\pi\)
\(332\) 10.2707 0.563678
\(333\) 7.56556 29.1738i 0.414590 1.59872i
\(334\) −11.6500 6.72611i −0.637458 0.368036i
\(335\) 7.63249 13.2199i 0.417007 0.722278i
\(336\) −0.0306444 + 11.5969i −0.00167179 + 0.632662i
\(337\) −9.99425 −0.544421 −0.272211 0.962238i \(-0.587755\pi\)
−0.272211 + 0.962238i \(0.587755\pi\)
\(338\) −16.2517 26.5829i −0.883975 1.44592i
\(339\) 2.82115 6.88928i 0.153224 0.374174i
\(340\) 20.2227 + 35.0268i 1.09673 + 1.89960i
\(341\) −4.04792 −0.219207
\(342\) 16.3960 + 16.1337i 0.886592 + 0.872411i
\(343\) 16.9652 + 7.42851i 0.916034 + 0.401102i
\(344\) 5.94244 3.43087i 0.320395 0.184980i
\(345\) −7.14403 + 17.4458i −0.384621 + 0.939249i
\(346\) 49.6210 + 28.6487i 2.66764 + 1.54016i
\(347\) 30.3026i 1.62673i 0.581754 + 0.813365i \(0.302367\pi\)
−0.581754 + 0.813365i \(0.697633\pi\)
\(348\) −5.75755 + 0.781619i −0.308637 + 0.0418992i
\(349\) 18.7898 + 10.8483i 1.00580 + 0.580696i 0.909958 0.414701i \(-0.136114\pi\)
0.0958377 + 0.995397i \(0.469447\pi\)
\(350\) 0.906620 0.368465i 0.0484609 0.0196953i
\(351\) −11.7681 14.5778i −0.628137 0.778103i
\(352\) −1.72514 2.98803i −0.0919502 0.159262i
\(353\) 7.88107 + 13.6504i 0.419467 + 0.726538i 0.995886 0.0906163i \(-0.0288837\pi\)
−0.576419 + 0.817154i \(0.695550\pi\)
\(354\) 35.1782 + 45.4644i 1.86970 + 2.41641i
\(355\) −30.6794 17.7128i −1.62830 0.940097i
\(356\) −47.2881 −2.50626
\(357\) −0.0594226 + 22.4875i −0.00314498 + 1.19017i
\(358\) −23.4482 40.6136i −1.23928 2.14649i
\(359\) −5.88803 + 3.39946i −0.310759 + 0.179417i −0.647266 0.762264i \(-0.724088\pi\)
0.336507 + 0.941681i \(0.390754\pi\)
\(360\) −7.35981 26.6073i −0.387896 1.40233i
\(361\) −4.38253 7.59077i −0.230660 0.399514i
\(362\) 3.66275 0.192510
\(363\) 2.03657 + 15.0018i 0.106892 + 0.787388i
\(364\) 13.4738 33.0786i 0.706220 1.73379i
\(365\) 7.29620i 0.381900i
\(366\) −1.57917 11.6325i −0.0825447 0.608039i
\(367\) −14.0718 + 8.12438i −0.734544 + 0.424089i −0.820082 0.572246i \(-0.806072\pi\)
0.0855383 + 0.996335i \(0.472739\pi\)
\(368\) 12.5127i 0.652267i
\(369\) 21.3235 + 20.9824i 1.11006 + 1.09230i
\(370\) −45.9016 + 26.5013i −2.38631 + 1.37774i
\(371\) −15.1732 + 6.16664i −0.787753 + 0.320156i
\(372\) −17.3062 + 2.34941i −0.897284 + 0.121811i
\(373\) 6.67655 11.5641i 0.345699 0.598767i −0.639782 0.768557i \(-0.720975\pi\)
0.985480 + 0.169789i \(0.0543086\pi\)
\(374\) 8.83902 + 15.3096i 0.457055 + 0.791642i
\(375\) −15.5427 + 12.0262i −0.802624 + 0.621031i
\(376\) −1.19626 + 0.690663i −0.0616926 + 0.0356182i
\(377\) 3.13057 + 0.796814i 0.161233 + 0.0410380i
\(378\) 8.35529 31.8723i 0.429750 1.63933i
\(379\) −11.9437 + 20.6870i −0.613504 + 1.06262i 0.377141 + 0.926156i \(0.376907\pi\)
−0.990645 + 0.136464i \(0.956426\pi\)
\(380\) 26.3681i 1.35266i
\(381\) 4.12074 + 30.3541i 0.211112 + 1.55509i
\(382\) −7.39870 + 12.8149i −0.378551 + 0.655669i
\(383\) −0.798871 + 1.38369i −0.0408204 + 0.0707030i −0.885714 0.464232i \(-0.846330\pi\)
0.844893 + 0.534935i \(0.179664\pi\)
\(384\) −21.9673 28.3907i −1.12101 1.44880i
\(385\) −8.10991 + 3.29600i −0.413319 + 0.167980i
\(386\) −21.7047 + 12.5312i −1.10474 + 0.637823i
\(387\) −4.74607 + 1.31280i −0.241256 + 0.0667336i
\(388\) 43.3169 25.0090i 2.19908 1.26964i
\(389\) −19.3984 11.1997i −0.983539 0.567846i −0.0802022 0.996779i \(-0.525557\pi\)
−0.903337 + 0.428932i \(0.858890\pi\)
\(390\) −3.75784 + 32.7326i −0.190285 + 1.65748i
\(391\) 24.2633i 1.22705i
\(392\) 28.3639 7.19576i 1.43259 0.363441i
\(393\) 19.9461 + 8.16789i 1.00615 + 0.412016i
\(394\) −5.54266 + 9.60017i −0.279235 + 0.483650i
\(395\) −6.65907 + 11.5338i −0.335054 + 0.580331i
\(396\) −4.50114 16.2726i −0.226191 0.817728i
\(397\) 17.6893 + 10.2130i 0.887803 + 0.512573i 0.873223 0.487320i \(-0.162026\pi\)
0.0145798 + 0.999894i \(0.495359\pi\)
\(398\) −21.0089 −1.05308
\(399\) 7.36383 12.6771i 0.368653 0.634646i
\(400\) 0.195281 0.338236i 0.00976404 0.0169118i
\(401\) 32.5300i 1.62447i −0.583330 0.812235i \(-0.698251\pi\)
0.583330 0.812235i \(-0.301749\pi\)
\(402\) 10.9090 26.6398i 0.544090 1.32867i
\(403\) 9.40996 + 2.39508i 0.468743 + 0.119308i
\(404\) −32.7876 56.7897i −1.63124 2.82539i
\(405\) 0.319423 + 19.8090i 0.0158723 + 0.984318i
\(406\) 2.13906 + 5.26322i 0.106160 + 0.261209i
\(407\) −13.0774 + 7.55024i −0.648223 + 0.374252i
\(408\) 21.7433 + 28.1012i 1.07645 + 1.39122i
\(409\) 26.4267i 1.30672i −0.757049 0.653358i \(-0.773360\pi\)
0.757049 0.653358i \(-0.226640\pi\)
\(410\) 52.6102i 2.59823i
\(411\) −10.0107 12.9379i −0.493792 0.638180i
\(412\) −10.3504 + 5.97578i −0.509926 + 0.294406i
\(413\) 22.4971 28.9171i 1.10701 1.42292i
\(414\) −8.92416 + 34.4128i −0.438598 + 1.69130i
\(415\) 3.01917 + 5.22936i 0.148205 + 0.256699i
\(416\) 2.24236 + 7.96682i 0.109941 + 0.390605i
\(417\) −2.95878 + 7.22537i −0.144892 + 0.353828i
\(418\) 11.5251i 0.563709i
\(419\) 7.22669 12.5170i 0.353047 0.611495i −0.633735 0.773550i \(-0.718479\pi\)
0.986782 + 0.162055i \(0.0518122\pi\)
\(420\) −32.7595 + 18.7985i −1.59850 + 0.917271i
\(421\) −29.6577 −1.44543 −0.722713 0.691148i \(-0.757105\pi\)
−0.722713 + 0.691148i \(0.757105\pi\)
\(422\) −2.05197 1.18471i −0.0998884 0.0576706i
\(423\) 0.955423 0.264278i 0.0464543 0.0128497i
\(424\) −12.9392 + 22.4113i −0.628381 + 1.08839i
\(425\) 0.378670 0.655875i 0.0183682 0.0318146i
\(426\) −61.8233 25.3166i −2.99535 1.22659i
\(427\) −6.93132 + 2.81700i −0.335430 + 0.136324i
\(428\) 7.70874i 0.372616i
\(429\) −1.07061 + 9.32555i −0.0516896 + 0.450242i
\(430\) 7.49971 + 4.32996i 0.361668 + 0.208809i
\(431\) 10.4396 6.02731i 0.502858 0.290325i −0.227035 0.973887i \(-0.572903\pi\)
0.729893 + 0.683561i \(0.239570\pi\)
\(432\) −5.17870 12.0870i −0.249160 0.581535i
\(433\) −23.4870 + 13.5603i −1.12872 + 0.651664i −0.943612 0.331055i \(-0.892595\pi\)
−0.185104 + 0.982719i \(0.559262\pi\)
\(434\) 6.42964 + 15.8203i 0.308632 + 0.759399i
\(435\) −2.09045 2.70171i −0.100229 0.129537i
\(436\) −9.51634 + 16.4828i −0.455750 + 0.789382i
\(437\) −7.90914 + 13.6990i −0.378345 + 0.655313i
\(438\) 1.85092 + 13.6342i 0.0884403 + 0.651467i
\(439\) 4.20603i 0.200743i 0.994950 + 0.100371i \(0.0320031\pi\)
−0.994950 + 0.100371i \(0.967997\pi\)
\(440\) −6.91583 + 11.9786i −0.329699 + 0.571056i
\(441\) −20.9997 0.110983i −0.999986 0.00528490i
\(442\) −11.4891 40.8193i −0.546481 1.94157i
\(443\) −10.9258 + 6.30802i −0.519101 + 0.299703i −0.736567 0.676365i \(-0.763554\pi\)
0.217466 + 0.976068i \(0.430221\pi\)
\(444\) −51.5280 + 39.8699i −2.44541 + 1.89214i
\(445\) −13.9008 24.0769i −0.658960 1.14135i
\(446\) −25.4639 + 44.1048i −1.20575 + 2.08842i
\(447\) 32.3366 4.38988i 1.52947 0.207634i
\(448\) −17.1604 + 22.0575i −0.810753 + 1.04212i
\(449\) −5.18515 + 2.99365i −0.244702 + 0.141279i −0.617336 0.786699i \(-0.711788\pi\)
0.372634 + 0.927979i \(0.378455\pi\)
\(450\) −0.778302 + 0.790954i −0.0366895 + 0.0372859i
\(451\) 14.9887i 0.705790i
\(452\) −13.9369 + 8.04649i −0.655538 + 0.378475i
\(453\) 1.92018 + 14.1444i 0.0902177 + 0.664560i
\(454\) 9.55287i 0.448338i
\(455\) 20.8028 2.86353i 0.975250 0.134244i
\(456\) −3.11607 22.9536i −0.145923 1.07490i
\(457\) 37.7688 1.76675 0.883374 0.468669i \(-0.155266\pi\)
0.883374 + 0.468669i \(0.155266\pi\)
\(458\) −1.81555 3.14463i −0.0848353 0.146939i
\(459\) −10.0420 23.4379i −0.468722 1.09399i
\(460\) 35.2926 20.3762i 1.64553 0.950045i
\(461\) −7.86795 13.6277i −0.366447 0.634705i 0.622560 0.782572i \(-0.286093\pi\)
−0.989007 + 0.147867i \(0.952759\pi\)
\(462\) −14.3186 + 8.21649i −0.666162 + 0.382266i
\(463\) −23.9163 −1.11148 −0.555742 0.831355i \(-0.687566\pi\)
−0.555742 + 0.831355i \(0.687566\pi\)
\(464\) 1.96357 + 1.13367i 0.0911565 + 0.0526292i
\(465\) −6.28352 8.12086i −0.291391 0.376596i
\(466\) 8.11995 + 14.0642i 0.376149 + 0.651510i
\(467\) −11.4121 19.7663i −0.528087 0.914674i −0.999464 0.0327419i \(-0.989576\pi\)
0.471377 0.881932i \(-0.343757\pi\)
\(468\) 0.835329 + 40.4911i 0.0386131 + 1.87170i
\(469\) −18.1738 2.51612i −0.839188 0.116184i
\(470\) −1.50975 0.871657i −0.0696398 0.0402066i
\(471\) 23.9307 3.24873i 1.10267 0.149693i
\(472\) 57.8883i 2.66452i
\(473\) 2.13667 + 1.23361i 0.0982443 + 0.0567214i
\(474\) −9.51768 + 23.2423i −0.437162 + 1.06755i
\(475\) −0.427592 + 0.246871i −0.0196193 + 0.0113272i
\(476\) 29.8497 38.3680i 1.36816 1.75860i
\(477\) 13.0257 13.2374i 0.596405 0.606100i
\(478\) −37.0134 −1.69295
\(479\) 1.19588 + 2.07132i 0.0546411 + 0.0946412i 0.892052 0.451932i \(-0.149265\pi\)
−0.837411 + 0.546574i \(0.815932\pi\)
\(480\) 3.31661 8.09920i 0.151382 0.369676i
\(481\) 34.8676 9.81393i 1.58983 0.447476i
\(482\) 16.8706 0.768435
\(483\) 22.6582 + 0.0598734i 1.03098 + 0.00272434i
\(484\) 16.3635 28.3424i 0.743796 1.28829i
\(485\) 25.4668 + 14.7033i 1.15639 + 0.667641i
\(486\) 5.62210 + 36.9355i 0.255024 + 1.67543i
\(487\) 40.0884 1.81658 0.908290 0.418340i \(-0.137388\pi\)
0.908290 + 0.418340i \(0.137388\pi\)
\(488\) −5.91077 + 10.2378i −0.267568 + 0.463442i
\(489\) 2.61724 + 19.2791i 0.118356 + 0.871829i
\(490\) 25.7632 + 26.4603i 1.16386 + 1.19535i
\(491\) −3.37799 1.95028i −0.152447 0.0880151i 0.421836 0.906672i \(-0.361386\pi\)
−0.574283 + 0.818657i \(0.694719\pi\)
\(492\) −8.69942 64.0816i −0.392200 2.88902i
\(493\) 3.80756 + 2.19830i 0.171484 + 0.0990064i
\(494\) −6.81917 + 26.7916i −0.306809 + 1.20541i
\(495\) 6.96208 7.07525i 0.312922 0.318009i
\(496\) 5.90215 + 3.40761i 0.265014 + 0.153006i
\(497\) −5.83918 + 42.1761i −0.261923 + 1.89186i
\(498\) 6.96844 + 9.00604i 0.312263 + 0.403570i
\(499\) 16.3007 + 28.2336i 0.729718 + 1.26391i 0.957002 + 0.290081i \(0.0936822\pi\)
−0.227284 + 0.973829i \(0.572984\pi\)
\(500\) 42.4824 1.89987
\(501\) −1.30777 9.63328i −0.0584269 0.430383i
\(502\) 7.02736 4.05725i 0.313646 0.181084i
\(503\) 6.79105 + 11.7625i 0.302798 + 0.524462i 0.976769 0.214296i \(-0.0687459\pi\)
−0.673971 + 0.738758i \(0.735413\pi\)
\(504\) −26.2958 + 20.2355i −1.17131 + 0.901362i
\(505\) 19.2764 33.3877i 0.857789 1.48573i
\(506\) 15.4258 8.90609i 0.685760 0.395924i
\(507\) 8.00654 21.0451i 0.355583 0.934645i
\(508\) 33.1094 57.3472i 1.46899 2.54437i
\(509\) 15.4269 0.683787 0.341894 0.939739i \(-0.388932\pi\)
0.341894 + 0.939739i \(0.388932\pi\)
\(510\) −16.9932 + 41.4976i −0.752472 + 1.83754i
\(511\) 8.12406 3.30175i 0.359387 0.146061i
\(512\) 26.9670i 1.19179i
\(513\) −1.97035 + 16.5064i −0.0869932 + 0.728775i
\(514\) 49.4195i 2.17980i
\(515\) −6.08517 3.51327i −0.268145 0.154813i
\(516\) 9.85096 + 4.03396i 0.433664 + 0.177585i
\(517\) −0.430130 0.248336i −0.0189171 0.0109218i
\(518\) 50.2802 + 39.1172i 2.20918 + 1.71871i
\(519\) 5.57022 + 41.0313i 0.244506 + 1.80107i
\(520\) 23.1643 23.7539i 1.01582 1.04168i
\(521\) −8.81691 + 15.2713i −0.386276 + 0.669050i −0.991945 0.126667i \(-0.959572\pi\)
0.605669 + 0.795716i \(0.292905\pi\)
\(522\) −4.59174 4.51829i −0.200975 0.197760i
\(523\) 16.0990i 0.703958i −0.936008 0.351979i \(-0.885509\pi\)
0.936008 0.351979i \(-0.114491\pi\)
\(524\) −23.2964 40.3506i −1.01771 1.76273i
\(525\) 0.611551 + 0.355237i 0.0266903 + 0.0155038i
\(526\) −6.65022 11.5185i −0.289964 0.502232i
\(527\) 11.4449 + 6.60770i 0.498547 + 0.287836i
\(528\) −2.49671 + 6.09699i −0.108655 + 0.265337i
\(529\) −1.44743 −0.0629317
\(530\) −32.6599 −1.41866
\(531\) −10.4283 + 40.2130i −0.452550 + 1.74510i
\(532\) −29.3600 + 11.9324i −1.27292 + 0.517334i
\(533\) −8.86854 + 34.8433i −0.384139 + 1.50923i
\(534\) −32.0839 41.4654i −1.38841 1.79438i
\(535\) 3.92493 2.26606i 0.169689 0.0979702i
\(536\) −25.1051 + 14.4944i −1.08438 + 0.626064i
\(537\) 12.8433 31.3633i 0.554227 1.35343i
\(538\) 21.9723i 0.947294i
\(539\) 7.33996 + 7.53856i 0.316155 + 0.324709i
\(540\) 25.6587 34.2898i 1.10417 1.47560i
\(541\) −11.6387 20.1589i −0.500388 0.866697i −1.00000 0.000447572i \(-0.999858\pi\)
0.499612 0.866249i \(-0.333476\pi\)
\(542\) −16.3561 −0.702555
\(543\) 1.61984 + 2.09349i 0.0695140 + 0.0898403i
\(544\) 11.2642i 0.482951i
\(545\) −11.1897 −0.479313
\(546\) 38.1472 10.6283i 1.63255 0.454849i
\(547\) 32.4180 1.38609 0.693046 0.720893i \(-0.256268\pi\)
0.693046 + 0.720893i \(0.256268\pi\)
\(548\) 35.3627i 1.51062i
\(549\) 5.95030 6.04702i 0.253953 0.258081i
\(550\) 0.555977 0.0237070
\(551\) −1.43316 2.48231i −0.0610548 0.105750i
\(552\) 28.3144 21.9083i 1.20514 0.932479i
\(553\) 15.8560 + 2.19522i 0.674264 + 0.0933503i
\(554\) 7.11132i 0.302131i
\(555\) −35.4470 14.5155i −1.50464 0.616149i
\(556\) 14.6168 8.43904i 0.619892 0.357895i
\(557\) 7.16449 4.13642i 0.303569 0.175266i −0.340476 0.940253i \(-0.610588\pi\)
0.644045 + 0.764987i \(0.277255\pi\)
\(558\) −13.8020 13.5812i −0.584284 0.574938i
\(559\) −4.23709 4.13193i −0.179210 0.174762i
\(560\) 14.5994 + 2.02126i 0.616939 + 0.0854137i
\(561\) −4.84138 + 11.8227i −0.204403 + 0.499154i
\(562\) −62.2407 −2.62547
\(563\) 41.4857 1.74841 0.874206 0.485555i \(-0.161383\pi\)
0.874206 + 0.485555i \(0.161383\pi\)
\(564\) −1.98308 0.812070i −0.0835028 0.0341943i
\(565\) −8.19378 4.73068i −0.344715 0.199021i
\(566\) 13.0569 + 22.6152i 0.548821 + 0.950586i
\(567\) 21.9121 9.31986i 0.920222 0.391397i
\(568\) 33.6374 + 58.2616i 1.41139 + 2.44460i
\(569\) 15.4494i 0.647673i −0.946113 0.323837i \(-0.895027\pi\)
0.946113 0.323837i \(-0.104973\pi\)
\(570\) 23.1213 17.8902i 0.968446 0.749336i
\(571\) −16.0896 + 27.8680i −0.673329 + 1.16624i 0.303625 + 0.952792i \(0.401803\pi\)
−0.976954 + 0.213449i \(0.931530\pi\)
\(572\) 14.1669 14.5275i 0.592349 0.607425i
\(573\) −10.5966 + 1.43854i −0.442679 + 0.0600961i
\(574\) −58.5797 + 23.8078i −2.44507 + 0.993716i
\(575\) −0.660852 0.381543i −0.0275594 0.0159114i
\(576\) 7.95456 30.6739i 0.331440 1.27808i
\(577\) −19.3075 11.1472i −0.803783 0.464064i 0.0410092 0.999159i \(-0.486943\pi\)
−0.844792 + 0.535094i \(0.820276\pi\)
\(578\) 16.9702i 0.705866i
\(579\) −16.7612 6.86371i −0.696573 0.285246i
\(580\) 7.38447i 0.306623i
\(581\) 4.45644 5.72819i 0.184884 0.237645i
\(582\) 51.3191 + 21.0151i 2.12724 + 0.871104i
\(583\) −9.30484 −0.385367
\(584\) 6.92790 11.9995i 0.286679 0.496542i
\(585\) −20.3706 + 12.3281i −0.842221 + 0.509703i
\(586\) −23.6789 + 13.6710i −0.978165 + 0.564744i
\(587\) −19.0213 + 32.9459i −0.785094 + 1.35982i 0.143849 + 0.989600i \(0.454052\pi\)
−0.928943 + 0.370223i \(0.879281\pi\)
\(588\) 35.7561 + 27.9697i 1.47456 + 1.15345i
\(589\) −4.30784 7.46139i −0.177501 0.307441i
\(590\) 63.2704 36.5292i 2.60480 1.50388i
\(591\) −7.93832 + 1.07767i −0.326539 + 0.0443294i
\(592\) 25.4237 1.04491
\(593\) 0.484442 + 0.839079i 0.0198937 + 0.0344568i 0.875801 0.482673i \(-0.160334\pi\)
−0.855907 + 0.517129i \(0.827001\pi\)
\(594\) 11.2150 14.9875i 0.460156 0.614944i
\(595\) 28.3098 + 3.91942i 1.16059 + 0.160681i
\(596\) −61.0928 35.2719i −2.50246 1.44479i
\(597\) −9.29112 12.0079i −0.380260 0.491450i
\(598\) −41.1290 + 11.5763i −1.68189 + 0.473389i
\(599\) 32.1172 + 18.5429i 1.31228 + 0.757642i 0.982472 0.186408i \(-0.0596845\pi\)
0.329803 + 0.944050i \(0.393018\pi\)
\(600\) 1.10730 0.150322i 0.0452052 0.00613686i
\(601\) −9.42183 5.43970i −0.384324 0.221890i 0.295374 0.955382i \(-0.404556\pi\)
−0.679698 + 0.733492i \(0.737889\pi\)
\(602\) 1.42741 10.3101i 0.0581769 0.420209i
\(603\) 20.0508 5.54622i 0.816530 0.225859i
\(604\) 15.4283 26.7226i 0.627768 1.08733i
\(605\) 19.2408 0.782251
\(606\) 27.5514 67.2808i 1.11920 2.73310i
\(607\) 14.0368 + 8.10415i 0.569736 + 0.328937i 0.757044 0.653364i \(-0.226643\pi\)
−0.187308 + 0.982301i \(0.559976\pi\)
\(608\) 3.67182 6.35977i 0.148912 0.257923i
\(609\) −2.06226 + 3.55025i −0.0835671 + 0.143863i
\(610\) −14.9195 −0.604072
\(611\) 0.852962 + 0.831792i 0.0345072 + 0.0336507i
\(612\) −13.8366 + 53.3558i −0.559311 + 2.15678i
\(613\) 16.3691 + 28.3521i 0.661142 + 1.14513i 0.980316 + 0.197435i \(0.0632611\pi\)
−0.319174 + 0.947696i \(0.603406\pi\)
\(614\) −2.78398 −0.112352
\(615\) 30.0700 23.2667i 1.21254 0.938204i
\(616\) 16.4674 + 2.27987i 0.663489 + 0.0918584i
\(617\) −33.8949 + 19.5692i −1.36456 + 0.787828i −0.990227 0.139467i \(-0.955461\pi\)
−0.374331 + 0.927295i \(0.622128\pi\)
\(618\) −12.2624 5.02146i −0.493268 0.201993i
\(619\) −4.41436 2.54863i −0.177428 0.102438i 0.408656 0.912689i \(-0.365998\pi\)
−0.586084 + 0.810250i \(0.699331\pi\)
\(620\) 22.1964i 0.891430i
\(621\) −23.6157 + 10.1182i −0.947666 + 0.406031i
\(622\) 14.4887 + 8.36504i 0.580943 + 0.335407i
\(623\) −20.5182 + 26.3736i −0.822045 + 1.05663i
\(624\) 9.41143 12.6960i 0.376759 0.508248i
\(625\) 12.1023 + 20.9617i 0.484090 + 0.838469i
\(626\) −23.7017 41.0526i −0.947312 1.64079i
\(627\) 6.58728 5.09692i 0.263071 0.203551i
\(628\) −45.2117 26.1030i −1.80414 1.04162i
\(629\) 49.2991 1.96569
\(630\) −38.7103 15.9714i −1.54226 0.636316i
\(631\) 24.5250 + 42.4785i 0.976324 + 1.69104i 0.675496 + 0.737364i \(0.263930\pi\)
0.300828 + 0.953678i \(0.402737\pi\)
\(632\) 21.9033 12.6459i 0.871266 0.503026i
\(633\) −0.230345 1.69676i −0.00915538 0.0674402i
\(634\) 8.82643 + 15.2878i 0.350542 + 0.607157i
\(635\) 38.9313 1.54494
\(636\) −39.7812 + 5.40052i −1.57743 + 0.214145i
\(637\) −12.6023 21.8674i −0.499323 0.866416i
\(638\) 3.22763i 0.127783i
\(639\) −12.8712 46.5320i −0.509175 1.84078i
\(640\) −39.5098 + 22.8110i −1.56176 + 0.901683i
\(641\) 25.8865i 1.02246i 0.859445 + 0.511228i \(0.170809\pi\)
−0.859445 + 0.511228i \(0.829191\pi\)
\(642\) 6.75954 5.23020i 0.266778 0.206420i
\(643\) 19.3103 11.1488i 0.761526 0.439667i −0.0683177 0.997664i \(-0.521763\pi\)
0.829843 + 0.557997i \(0.188430\pi\)
\(644\) −38.6592 30.0762i −1.52338 1.18517i
\(645\) 0.841882 + 6.20146i 0.0331491 + 0.244182i
\(646\) −18.8131 + 32.5853i −0.740193 + 1.28205i
\(647\) −9.84729 17.0560i −0.387137 0.670541i 0.604926 0.796282i \(-0.293203\pi\)
−0.992063 + 0.125741i \(0.959869\pi\)
\(648\) 18.2838 32.8816i 0.718255 1.29171i
\(649\) 18.0258 10.4072i 0.707575 0.408518i
\(650\) −1.29245 0.328962i −0.0506939 0.0129029i
\(651\) −6.19880 + 10.6714i −0.242950 + 0.418246i
\(652\) 21.0291 36.4234i 0.823562 1.42645i
\(653\) 9.34844i 0.365833i −0.983128 0.182916i \(-0.941446\pi\)
0.983128 0.182916i \(-0.0585538\pi\)
\(654\) −20.9098 + 2.83862i −0.817639 + 0.110999i
\(655\) 13.6964 23.7229i 0.535163 0.926930i
\(656\) −12.6177 + 21.8546i −0.492640 + 0.853277i
\(657\) −6.97423 + 7.08760i −0.272091 + 0.276514i
\(658\) −0.287350 + 2.07551i −0.0112021 + 0.0809119i
\(659\) 12.6857 7.32409i 0.494165 0.285306i −0.232136 0.972683i \(-0.574571\pi\)
0.726301 + 0.687377i \(0.241238\pi\)
\(660\) −21.2626 + 2.88652i −0.827646 + 0.112358i
\(661\) −1.74192 + 1.00570i −0.0677529 + 0.0391172i −0.533494 0.845804i \(-0.679121\pi\)
0.465741 + 0.884921i \(0.345788\pi\)
\(662\) 4.78526 + 2.76277i 0.185984 + 0.107378i
\(663\) 18.2497 24.6189i 0.708761 0.956120i
\(664\) 11.4671i 0.445009i
\(665\) −14.7060 11.4411i −0.570276 0.443666i
\(666\) −69.9211 18.1324i −2.70939 0.702618i
\(667\) 2.21498 3.83646i 0.0857643 0.148548i
\(668\) −10.5077 + 18.1999i −0.406556 + 0.704176i
\(669\) −36.4699 + 4.95099i −1.41001 + 0.191417i
\(670\) −31.6841 18.2928i −1.22406 0.706714i
\(671\) −4.25057 −0.164092
\(672\) −10.5190 0.0277962i −0.405781 0.00107226i
\(673\) −3.60802 + 6.24928i −0.139079 + 0.240892i −0.927148 0.374695i \(-0.877748\pi\)
0.788069 + 0.615587i \(0.211081\pi\)
\(674\) 23.9533i 0.922646i
\(675\) −0.796281 0.0950513i −0.0306489 0.00365853i
\(676\) −41.5286 + 25.3889i −1.59726 + 0.976494i
\(677\) −12.2214 21.1681i −0.469706 0.813554i 0.529694 0.848189i \(-0.322307\pi\)
−0.999400 + 0.0346344i \(0.988973\pi\)
\(678\) −16.5116 6.76147i −0.634124 0.259673i
\(679\) 4.84706 35.0101i 0.186013 1.34356i
\(680\) 39.1069 22.5784i 1.49968 0.865841i
\(681\) −5.46006 + 4.22473i −0.209230 + 0.161892i
\(682\) 9.70168i 0.371496i
\(683\) 6.35051i 0.242995i −0.992592 0.121498i \(-0.961230\pi\)
0.992592 0.121498i \(-0.0387697\pi\)
\(684\) 25.2045 25.6142i 0.963720 0.979385i
\(685\) −18.0050 + 10.3952i −0.687935 + 0.397180i
\(686\) 17.8040 40.6606i 0.679758 1.55243i
\(687\) 0.994429 2.42841i 0.0379398 0.0926495i
\(688\) −2.07694 3.59737i −0.0791828 0.137149i
\(689\) 21.6304 + 5.50551i 0.824053 + 0.209743i
\(690\) 41.8124 + 17.1221i 1.59177 + 0.651829i
\(691\) 5.74331i 0.218486i −0.994015 0.109243i \(-0.965157\pi\)
0.994015 0.109243i \(-0.0348427\pi\)
\(692\) 44.7558 77.5193i 1.70136 2.94684i
\(693\) −11.0286 4.55027i −0.418942 0.172850i
\(694\) 72.6265 2.75686
\(695\) 8.59352 + 4.96147i 0.325971 + 0.188199i
\(696\) 0.872665 + 6.42821i 0.0330783 + 0.243661i
\(697\) −24.4671 + 42.3782i −0.926757 + 1.60519i
\(698\) 26.0002 45.0337i 0.984122 1.70455i
\(699\) −4.44752 + 10.8609i −0.168221 + 0.410797i
\(700\) −0.575627 1.41635i −0.0217567 0.0535329i
\(701\) 14.7876i 0.558520i −0.960216 0.279260i \(-0.909911\pi\)
0.960216 0.279260i \(-0.0900891\pi\)
\(702\) −34.9386 + 28.2048i −1.31867 + 1.06452i
\(703\) −27.8342 16.0701i −1.04979 0.606095i
\(704\) −13.7498 + 7.93846i −0.518215 + 0.299192i
\(705\) −0.169478 1.24841i −0.00638291 0.0470177i
\(706\) 32.7160 18.8886i 1.23128 0.710882i
\(707\) −45.8993 6.35464i −1.72622 0.238991i
\(708\) 71.0258 54.9563i 2.66931 2.06539i
\(709\) 24.3473 42.1707i 0.914381 1.58375i 0.106576 0.994305i \(-0.466011\pi\)
0.807805 0.589450i \(-0.200655\pi\)
\(710\) −42.4523 + 73.5296i −1.59321 + 2.75952i
\(711\) −17.4936 + 4.83887i −0.656060 + 0.181472i
\(712\) 52.7964i 1.97863i
\(713\) 6.65784 11.5317i 0.249338 0.431866i
\(714\) 53.8960 + 0.142418i 2.01701 + 0.00532988i
\(715\) 11.5612 + 2.94263i 0.432365 + 0.110048i
\(716\) −63.4476 + 36.6315i −2.37115 + 1.36898i
\(717\) −16.3691 21.1555i −0.611314 0.790065i
\(718\) 8.14751 + 14.1119i 0.304062 + 0.526651i
\(719\) −14.8764 + 25.7667i −0.554796 + 0.960935i 0.443123 + 0.896461i \(0.353870\pi\)
−0.997919 + 0.0644743i \(0.979463\pi\)
\(720\) −16.1073 + 4.45541i −0.600282 + 0.166043i
\(721\) −1.15818 + 8.36549i −0.0431330 + 0.311547i
\(722\) −18.1928 + 10.5036i −0.677068 + 0.390905i
\(723\) 7.46097 + 9.64260i 0.277477 + 0.358612i
\(724\) 5.72206i 0.212659i
\(725\) 0.119749 0.0691369i 0.00444735 0.00256768i
\(726\) 35.9548 4.88106i 1.33441 0.181153i
\(727\) 40.6361i 1.50711i −0.657385 0.753555i \(-0.728337\pi\)
0.657385 0.753555i \(-0.271663\pi\)
\(728\) −36.9317 15.0433i −1.36878 0.557542i
\(729\) −18.6246 + 19.5480i −0.689800 + 0.724000i
\(730\) 17.4868 0.647217
\(731\) −4.02741 6.97568i −0.148959 0.258005i
\(732\) −18.1726 + 2.46703i −0.671678 + 0.0911840i
\(733\) −24.6541 + 14.2340i −0.910619 + 0.525746i −0.880630 0.473804i \(-0.842880\pi\)
−0.0299887 + 0.999550i \(0.509547\pi\)
\(734\) 19.4718 + 33.7261i 0.718716 + 1.24485i
\(735\) −3.72999 + 26.4273i −0.137583 + 0.974784i
\(736\) 11.3497 0.418356
\(737\) −9.02683 5.21164i −0.332508 0.191973i
\(738\) 50.2887 51.1061i 1.85115 1.88124i
\(739\) −15.6689 27.1393i −0.576389 0.998335i −0.995889 0.0905800i \(-0.971128\pi\)
0.419500 0.907755i \(-0.362205\pi\)
\(740\) 41.4011 + 71.7088i 1.52193 + 2.63607i
\(741\) −18.3288 + 7.95092i −0.673326 + 0.292084i
\(742\) 14.7796 + 36.3657i 0.542577 + 1.33503i
\(743\) −11.8552 6.84459i −0.434924 0.251104i 0.266518 0.963830i \(-0.414127\pi\)
−0.701442 + 0.712726i \(0.747460\pi\)
\(744\) 2.62308 + 19.3221i 0.0961667 + 0.708382i
\(745\) 41.4741i 1.51949i
\(746\) −27.7158 16.0017i −1.01475 0.585865i
\(747\) −2.06574 + 7.96579i −0.0755816 + 0.291453i
\(748\) 23.9171 13.8086i 0.874497 0.504891i
\(749\) −4.29933 3.34481i −0.157094 0.122217i
\(750\) 28.8233 + 37.2514i 1.05248 + 1.36023i
\(751\) 38.3433 1.39917 0.699583 0.714551i \(-0.253369\pi\)
0.699583 + 0.714551i \(0.253369\pi\)
\(752\) 0.418107 + 0.724182i 0.0152468 + 0.0264082i
\(753\) 5.42680 + 2.22227i 0.197764 + 0.0809839i
\(754\) 1.90973 7.50307i 0.0695482 0.273246i
\(755\) 18.1412 0.660225
\(756\) −49.7918 13.0529i −1.81091 0.474729i
\(757\) −3.23204 + 5.59806i −0.117471 + 0.203465i −0.918765 0.394806i \(-0.870812\pi\)
0.801294 + 0.598271i \(0.204145\pi\)
\(758\) 49.5807 + 28.6254i 1.80085 + 1.03972i
\(759\) 11.9124 + 4.87811i 0.432392 + 0.177064i
\(760\) −29.4396 −1.06789
\(761\) 6.91097 11.9702i 0.250523 0.433918i −0.713147 0.701014i \(-0.752731\pi\)
0.963670 + 0.267096i \(0.0860642\pi\)
\(762\) 72.7499 9.87620i 2.63545 0.357777i
\(763\) 5.06367 + 12.4593i 0.183317 + 0.451057i
\(764\) 20.0199 + 11.5585i 0.724293 + 0.418171i
\(765\) −31.2336 + 8.63949i −1.12925 + 0.312362i
\(766\) 3.31629 + 1.91466i 0.119822 + 0.0691795i
\(767\) −48.0612 + 13.5274i −1.73539 + 0.488448i
\(768\) −39.1047 + 30.2573i −1.41107 + 1.09182i
\(769\) 1.89305 + 1.09295i 0.0682650 + 0.0394128i 0.533744 0.845646i \(-0.320785\pi\)
−0.465479 + 0.885059i \(0.654118\pi\)
\(770\) 7.89955 + 19.4371i 0.284680 + 0.700463i
\(771\) −28.2463 + 21.8556i −1.01727 + 0.787111i
\(772\) 19.5767 + 33.9078i 0.704579 + 1.22037i
\(773\) 8.34018 0.299975 0.149988 0.988688i \(-0.452077\pi\)
0.149988 +