Properties

Label 273.2.r.b.68.3
Level $273$
Weight $2$
Character 273.68
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 68.3
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.30

$q$-expansion

\(f(q)\) \(=\) \(q-2.39671i q^{2} +(1.60287 + 0.656371i) q^{3} -3.74420 q^{4} +(1.10064 - 1.90637i) q^{5} +(1.57313 - 3.84160i) q^{6} +(-1.62460 - 2.08822i) q^{7} +4.18035i q^{8} +(2.13835 + 2.10415i) q^{9} +O(q^{10})\) \(q-2.39671i q^{2} +(1.60287 + 0.656371i) q^{3} -3.74420 q^{4} +(1.10064 - 1.90637i) q^{5} +(1.57313 - 3.84160i) q^{6} +(-1.62460 - 2.08822i) q^{7} +4.18035i q^{8} +(2.13835 + 2.10415i) q^{9} +(-4.56901 - 2.63792i) q^{10} +(1.30172 + 0.751546i) q^{11} +(-6.00145 - 2.45759i) q^{12} +(3.47069 + 0.976871i) q^{13} +(-5.00485 + 3.89370i) q^{14} +(3.01547 - 2.33322i) q^{15} +2.53065 q^{16} -4.90720 q^{17} +(5.04303 - 5.12501i) q^{18} +(-2.77060 + 1.59960i) q^{19} +(-4.12104 + 7.13784i) q^{20} +(-1.23337 - 4.41348i) q^{21} +(1.80123 - 3.11983i) q^{22} -4.94443i q^{23} +(-2.74386 + 6.70053i) 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} +(-5.59206 - 7.22720i) q^{30} +(2.33226 - 1.34653i) q^{31} +2.29545i q^{32} +(1.59318 + 2.05904i) q^{33} +11.7611i q^{34} +(-5.76903 + 0.798709i) q^{35} +(-8.00643 - 7.87837i) q^{36} +10.0463 q^{37} +(3.83378 + 6.64031i) q^{38} +(4.92187 + 3.84386i) q^{39} +(7.96929 + 4.60107i) q^{40} +(4.98596 + 8.63593i) q^{41} +(-10.5778 + 2.95603i) 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} +(4.05630 + 1.66105i) q^{48} +(-1.72133 + 6.78506i) q^{49} +(0.320334 - 0.184945i) q^{50} +(-7.86558 - 3.22095i) 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} +(-11.2905 + 8.73607i) q^{60} +(2.44902 - 1.41394i) q^{61} +(-3.22724 - 5.58975i) q^{62} +(0.919954 - 7.88376i) q^{63} +10.5628 q^{64} +(5.68228 - 5.54125i) q^{65} +(4.93490 - 3.81839i) q^{66} +(3.46728 - 6.00551i) q^{67} +18.3736 q^{68} +(3.24539 - 7.92526i) q^{69} +(1.91427 + 13.8267i) q^{70} +(-13.9370 - 8.04655i) q^{71} +(-8.79607 + 8.93905i) 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} +(9.21260 - 11.7963i) q^{78} +(-3.02508 + 5.23959i) q^{79} +(2.78535 - 4.82437i) q^{80} +(0.145107 + 8.99883i) q^{81} +(20.6978 - 11.9499i) q^{82} +2.74309 q^{83} +(4.61799 + 16.5250i) 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} +(-1.50667 + 3.67930i) 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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.39671i 1.69473i −0.531013 0.847364i \(-0.678188\pi\)
0.531013 0.847364i \(-0.321812\pi\)
\(3\) 1.60287 + 0.656371i 0.925415 + 0.378956i
\(4\) −3.74420 −1.87210
\(5\) 1.10064 1.90637i 0.492223 0.852555i −0.507737 0.861512i \(-0.669518\pi\)
0.999960 + 0.00895706i \(0.00285116\pi\)
\(6\) 1.57313 3.84160i 0.642228 1.56833i
\(7\) −1.62460 2.08822i −0.614042 0.789273i
\(8\) 4.18035i 1.47798i
\(9\) 2.13835 + 2.10415i 0.712784 + 0.701383i
\(10\) −4.56901 2.63792i −1.44485 0.834184i
\(11\) 1.30172 + 0.751546i 0.392482 + 0.226600i 0.683235 0.730199i \(-0.260572\pi\)
−0.290753 + 0.956798i \(0.593906\pi\)
\(12\) −6.00145 2.45759i −1.73247 0.709445i
\(13\) 3.47069 + 0.976871i 0.962598 + 0.270935i
\(14\) −5.00485 + 3.89370i −1.33760 + 1.04063i
\(15\) 3.01547 2.33322i 0.778591 0.602436i
\(16\) 2.53065 0.632664
\(17\) −4.90720 −1.19017 −0.595085 0.803662i \(-0.702882\pi\)
−0.595085 + 0.803662i \(0.702882\pi\)
\(18\) 5.04303 5.12501i 1.18865 1.20798i
\(19\) −2.77060 + 1.59960i −0.635618 + 0.366974i −0.782925 0.622117i \(-0.786273\pi\)
0.147306 + 0.989091i \(0.452940\pi\)
\(20\) −4.12104 + 7.13784i −0.921491 + 1.59607i
\(21\) −1.23337 4.41348i −0.269144 0.963100i
\(22\) 1.80123 3.11983i 0.384025 0.665150i
\(23\) 4.94443i 1.03099i −0.856894 0.515493i \(-0.827609\pi\)
0.856894 0.515493i \(-0.172391\pi\)
\(24\) −2.74386 + 6.70053i −0.560088 + 1.36774i
\(25\) 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 \(-0.693176\pi\)
0.426225 + 0.904617i \(0.359843\pi\)
\(30\) −5.59206 7.22720i −1.02096 1.31950i
\(31\) 2.33226 1.34653i 0.418886 0.241844i −0.275714 0.961240i \(-0.588914\pi\)
0.694601 + 0.719395i \(0.255581\pi\)
\(32\) 2.29545i 0.405783i
\(33\) 1.59318 + 2.05904i 0.277337 + 0.358432i
\(34\) 11.7611i 2.01702i
\(35\) −5.76903 + 0.798709i −0.975145 + 0.135006i
\(36\) −8.00643 7.87837i −1.33440 1.31306i
\(37\) 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
\(39\) 4.92187 + 3.84386i 0.788129 + 0.615510i
\(40\) 7.96929 + 4.60107i 1.26006 + 0.727493i
\(41\) 4.98596 + 8.63593i 0.778676 + 1.34871i 0.932705 + 0.360639i \(0.117441\pi\)
−0.154030 + 0.988066i \(0.549225\pi\)
\(42\) −10.5778 + 2.95603i −1.63219 + 0.456125i
\(43\) −0.820714 + 1.42152i −0.125158 + 0.216780i −0.921795 0.387679i \(-0.873277\pi\)
0.796637 + 0.604458i \(0.206610\pi\)
\(44\) −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 \(-0.841005\pi\)
0.853724 + 0.520725i \(0.174338\pi\)
\(48\) 4.05630 + 1.66105i 0.585476 + 0.239752i
\(49\) −1.72133 + 6.78506i −0.245904 + 0.969294i
\(50\) 0.320334 0.184945i 0.0453020 0.0261551i
\(51\) −7.86558 3.22095i −1.10140 0.451023i
\(52\) −12.9950 3.65760i −1.80208 0.507218i
\(53\) −5.36111 + 3.09524i −0.736404 + 0.425163i −0.820761 0.571272i \(-0.806450\pi\)
0.0843561 + 0.996436i \(0.473117\pi\)
\(54\) 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 \(-0.142533\pi\)
0.901410 + 0.432966i \(0.142533\pi\)
\(60\) −11.2905 + 8.73607i −1.45760 + 1.12782i
\(61\) 2.44902 1.41394i 0.313565 0.181037i −0.334956 0.942234i \(-0.608721\pi\)
0.648521 + 0.761197i \(0.275388\pi\)
\(62\) −3.22724 5.58975i −0.409860 0.709899i
\(63\) 0.919954 7.88376i 0.115903 0.993260i
\(64\) 10.5628 1.32035
\(65\) 5.68228 5.54125i 0.704800 0.687307i
\(66\) 4.93490 3.81839i 0.607445 0.470011i
\(67\) 3.46728 6.00551i 0.423596 0.733690i −0.572692 0.819771i \(-0.694101\pi\)
0.996288 + 0.0860807i \(0.0274343\pi\)
\(68\) 18.3736 2.22812
\(69\) 3.24539 7.92526i 0.390698 0.954089i
\(70\) 1.91427 + 13.8267i 0.228799 + 1.65260i
\(71\) −13.9370 8.04655i −1.65402 0.954950i −0.975394 0.220469i \(-0.929241\pi\)
−0.678628 0.734482i \(-0.737425\pi\)
\(72\) −8.79607 + 8.93905i −1.03663 + 1.05348i
\(73\) −2.87045 + 1.65726i −0.335961 + 0.193967i −0.658485 0.752594i \(-0.728802\pi\)
0.322524 + 0.946561i \(0.395469\pi\)
\(74\) 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
\(78\) 9.21260 11.7963i 1.04312 1.33566i
\(79\) −3.02508 + 5.23959i −0.340348 + 0.589500i −0.984497 0.175400i \(-0.943878\pi\)
0.644149 + 0.764900i \(0.277211\pi\)
\(80\) 2.78535 4.82437i 0.311412 0.539381i
\(81\) 0.145107 + 8.99883i 0.0161230 + 0.999870i
\(82\) 20.6978 11.9499i 2.28569 1.31964i
\(83\) 2.74309 0.301094 0.150547 0.988603i \(-0.451897\pi\)
0.150547 + 0.988603i \(0.451897\pi\)
\(84\) 4.61799 + 16.5250i 0.503864 + 1.80302i
\(85\) −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 \(-0.733437\pi\)
−0.669372 + 0.742928i \(0.733437\pi\)
\(90\) −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
\(96\) −1.50667 + 3.67930i −0.153774 + 0.375517i
\(97\) −11.5690 6.67939i −1.17466 0.678190i −0.219886 0.975526i \(-0.570568\pi\)
−0.954773 + 0.297336i \(0.903902\pi\)
\(98\) 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 −0.0107340 + 0.999942i \(0.503417\pi\)
−0.860609 + 0.509267i \(0.829917\pi\)
\(102\) −7.71966 + 18.8515i −0.764361 + 1.86658i
\(103\) 2.76437 + 1.59601i 0.272381 + 0.157259i 0.629969 0.776620i \(-0.283067\pi\)
−0.357588 + 0.933879i \(0.616401\pi\)
\(104\) −4.08366 + 14.5087i −0.400436 + 1.42270i
\(105\) −9.77123 2.50641i −0.953574 0.244600i
\(106\) 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 0.961693 0.274130i \(-0.0883898\pi\)
−0.718250 + 0.695785i \(0.755056\pi\)
\(110\) −3.96504 6.86764i −0.378051 0.654804i
\(111\) 16.1028 + 6.59410i 1.52841 + 0.625884i
\(112\) −4.11131 5.28457i −0.388482 0.499345i
\(113\) −3.72227 2.14905i −0.350161 0.202166i 0.314595 0.949226i \(-0.398131\pi\)
−0.664756 + 0.747060i \(0.731465\pi\)
\(114\) 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
\(117\) 5.36609 + 9.39176i 0.496095 + 0.868268i
\(118\) 33.1889i 3.05529i
\(119\) 7.97225 + 10.2473i 0.730815 + 0.939370i
\(120\) 9.75368 + 12.6057i 0.890385 + 1.15074i
\(121\) −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
\(126\) −18.8951 2.20486i −1.68331 0.196425i
\(127\) −8.84285 15.3163i −0.784676 1.35910i −0.929192 0.369596i \(-0.879496\pi\)
0.144516 0.989502i \(-0.453837\pi\)
\(128\) 20.7251i 1.83186i
\(129\) −2.24854 + 1.73981i −0.197973 + 0.153182i
\(130\) −13.2807 13.6188i −1.16480 1.19444i
\(131\) −6.22200 + 10.7768i −0.543619 + 0.941576i 0.455073 + 0.890454i \(0.349613\pi\)
−0.998692 + 0.0511218i \(0.983720\pi\)
\(132\) −5.96519 7.70945i −0.519204 0.671021i
\(133\) 7.84145 + 3.18689i 0.679940 + 0.276339i
\(134\) −14.3934 8.31006i −1.24340 0.717880i
\(135\) 11.3576 + 1.35575i 0.977506 + 0.116684i
\(136\) 20.5138i 1.75904i
\(137\) 9.44464i 0.806910i −0.914999 0.403455i \(-0.867809\pi\)
0.914999 0.403455i \(-0.132191\pi\)
\(138\) −18.9945 7.77824i −1.61692 0.662128i
\(139\) −3.90386 2.25389i −0.331121 0.191173i 0.325218 0.945639i \(-0.394562\pi\)
−0.656339 + 0.754466i \(0.727896\pi\)
\(140\) 21.6004 2.99053i 1.82557 0.252746i
\(141\) −0.452650 + 0.350238i −0.0381200 + 0.0294954i
\(142\) −19.2852 + 33.4030i −1.61838 + 2.80312i
\(143\) 3.78369 + 3.87999i 0.316408 + 0.324461i
\(144\) 5.41143 + 5.32488i 0.450953 + 0.443740i
\(145\) 1.97224i 0.163786i
\(146\) 3.97196 + 6.87963i 0.328722 + 0.569362i
\(147\) −7.21258 + 9.74570i −0.594884 + 0.803812i
\(148\) −37.6153 −3.09196
\(149\) −16.3166 + 9.42041i −1.33671 + 0.771750i −0.986318 0.164853i \(-0.947285\pi\)
−0.350392 + 0.936603i \(0.613952\pi\)
\(150\) 0.634844 0.0861835i 0.0518348 0.00703686i
\(151\) −4.12058 7.13706i −0.335328 0.580805i 0.648220 0.761453i \(-0.275514\pi\)
−0.983548 + 0.180648i \(0.942181\pi\)
\(152\) −6.68690 11.5820i −0.542379 0.939428i
\(153\) −10.4933 10.3255i −0.848335 0.834766i
\(154\) −9.44119 + 1.30711i −0.760792 + 0.105330i
\(155\) 5.92821i 0.476165i
\(156\) −18.4285 14.3922i −1.47546 1.15230i
\(157\) 12.0751 6.97157i 0.963699 0.556392i 0.0663895 0.997794i \(-0.478852\pi\)
0.897310 + 0.441402i \(0.145519\pi\)
\(158\) 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
\(162\) 21.5676 0.347780i 1.69451 0.0273242i
\(163\) −5.61643 9.72795i −0.439913 0.761952i 0.557769 0.829996i \(-0.311657\pi\)
−0.997682 + 0.0680444i \(0.978324\pi\)
\(164\) −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 \(-0.236348\pi\)
−0.953940 + 0.299997i \(0.903014\pi\)
\(168\) 18.4499 5.15592i 1.42344 0.397788i
\(169\) 11.0914 + 6.78084i 0.853188 + 0.521603i
\(170\) 22.4211 + 12.9448i 1.71962 + 0.992821i
\(171\) −9.29032 2.40923i −0.710449 0.184238i
\(172\) 3.07292 5.32246i 0.234308 0.405834i
\(173\) 11.9534 + 20.7038i 0.908797 + 1.57408i 0.815738 + 0.578422i \(0.196331\pi\)
0.0930589 + 0.995661i \(0.470336\pi\)
\(174\) 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
\(177\) 22.1960 + 9.08925i 1.66836 + 0.683190i
\(178\) 30.2696i 2.26881i
\(179\) −16.9456 9.78353i −1.26657 0.731255i −0.292233 0.956347i \(-0.594398\pi\)
−0.974338 + 0.225092i \(0.927732\pi\)
\(180\) −23.8313 + 6.59195i −1.77628 + 0.491335i
\(181\) 1.52824i 0.113593i −0.998386 0.0567967i \(-0.981911\pi\)
0.998386 0.0567967i \(-0.0180887\pi\)
\(182\) −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
\(189\) 6.64924 12.0328i 0.483661 0.875255i
\(190\) 16.8785 1.22450
\(191\) 5.34689 3.08703i 0.386887 0.223370i −0.293923 0.955829i \(-0.594961\pi\)
0.680811 + 0.732459i \(0.261628\pi\)
\(192\) 16.9308 + 6.93315i 1.22188 + 0.500357i
\(193\) −5.22852 + 9.05607i −0.376357 + 0.651870i −0.990529 0.137302i \(-0.956157\pi\)
0.614172 + 0.789172i \(0.289490\pi\)
\(194\) −16.0085 + 27.7276i −1.14935 + 1.99073i
\(195\) 12.7450 5.15218i 0.912691 0.368956i
\(196\) 6.44501 25.4046i 0.460358 1.81462i
\(197\) 4.00557 2.31262i 0.285385 0.164767i −0.350474 0.936573i \(-0.613979\pi\)
0.635859 + 0.771805i \(0.280646\pi\)
\(198\) 10.4163 2.88123i 0.740252 0.204760i
\(199\) 8.76573i 0.621386i 0.950510 + 0.310693i \(0.100561\pi\)
−0.950510 + 0.310693i \(0.899439\pi\)
\(200\) −0.558727 + 0.322581i −0.0395080 + 0.0228099i
\(201\) 9.49943 7.35020i 0.670038 0.518443i
\(202\) 36.3517 + 20.9877i 2.55770 + 1.47669i
\(203\) 2.19602 + 0.892499i 0.154130 + 0.0626412i
\(204\) 29.4503 + 12.0599i 2.06194 + 0.844360i
\(205\) 21.9510 1.53313
\(206\) 3.82517 6.62538i 0.266512 0.461612i
\(207\) 10.4038 10.5729i 0.723116 0.734871i
\(208\) 8.78313 + 2.47212i 0.609001 + 0.171411i
\(209\) −4.80870 −0.332625
\(210\) −6.00712 + 23.4188i −0.414531 + 1.61605i
\(211\) 0.494306 + 0.856163i 0.0340294 + 0.0589407i 0.882539 0.470240i \(-0.155833\pi\)
−0.848509 + 0.529181i \(0.822499\pi\)
\(212\) 20.0731 11.5892i 1.37862 0.795949i
\(213\) −17.0577 22.0454i −1.16877 1.51053i
\(214\) 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
\(222\) 15.8041 38.5938i 1.06070 2.59025i
\(223\) −18.4022 + 10.6245i −1.23230 + 0.711471i −0.967510 0.252833i \(-0.918638\pi\)
−0.264795 + 0.964305i \(0.585304\pi\)
\(224\) 4.79341 3.72920i 0.320273 0.249168i
\(225\) −0.116223 + 0.448172i −0.00774821 + 0.0298781i
\(226\) −5.15065 + 8.92118i −0.342616 + 0.593428i
\(227\) 3.98583 0.264549 0.132274 0.991213i \(-0.457772\pi\)
0.132274 + 0.991213i \(0.457772\pi\)
\(228\) 20.5588 2.79097i 1.36154 0.184836i
\(229\) 1.31206 + 0.757520i 0.0867036 + 0.0500583i 0.542725 0.839910i \(-0.317393\pi\)
−0.456021 + 0.889969i \(0.650726\pi\)
\(230\) −13.0430 + 22.5912i −0.860032 + 1.48962i
\(231\) 1.71143 6.67203i 0.112604 0.438987i
\(232\) −1.87269 3.24359i −0.122948 0.212952i
\(233\) 5.86812 + 3.38796i 0.384433 + 0.221953i 0.679745 0.733448i \(-0.262090\pi\)
−0.295312 + 0.955401i \(0.595424\pi\)
\(234\) 22.5093 12.8609i 1.47148 0.840746i
\(235\) 0.363690 + 0.629929i 0.0237245 + 0.0410920i
\(236\) −51.8487 −3.37506
\(237\) −8.28791 + 6.41278i −0.538357 + 0.416555i
\(238\) 24.5598 19.1072i 1.59198 1.23853i
\(239\) 15.4434i 0.998954i −0.866327 0.499477i \(-0.833526\pi\)
0.866327 0.499477i \(-0.166474\pi\)
\(240\) 7.63112 5.90459i 0.492586 0.381139i
\(241\) 7.03908i 0.453427i −0.973962 0.226713i \(-0.927202\pi\)
0.973962 0.226713i \(-0.0727981\pi\)
\(242\) −18.1423 + 10.4745i −1.16623 + 0.673324i
\(243\) −5.67399 + 14.5192i −0.363986 + 0.931404i
\(244\) −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
\(249\) 4.39681 + 1.80049i 0.278637 + 0.114101i
\(250\) 27.1934i 1.71986i
\(251\) −1.69284 + 2.93209i −0.106851 + 0.185072i −0.914493 0.404602i \(-0.867410\pi\)
0.807642 + 0.589673i \(0.200744\pi\)
\(252\) −3.44450 + 29.5184i −0.216983 + 1.85948i
\(253\) 3.71597 6.43625i 0.233621 0.404643i
\(254\) −36.7086 + 21.1937i −2.30330 + 1.32981i
\(255\) −14.7975 + 11.4496i −0.926657 + 0.717002i
\(256\) −28.5464 −1.78415
\(257\) 20.6197 1.28622 0.643112 0.765772i \(-0.277643\pi\)
0.643112 + 0.765772i \(0.277643\pi\)
\(258\) 4.16981 + 5.38909i 0.259601 + 0.335510i
\(259\) −16.3212 20.9789i −1.01415 1.30356i
\(260\) −21.2756 + 20.7476i −1.31946 + 1.28671i
\(261\) −2.60178 0.674712i −0.161046 0.0417636i
\(262\) 25.8289 + 14.9123i 1.59571 + 0.921286i
\(263\) −4.80598 2.77473i −0.296349 0.171097i 0.344452 0.938804i \(-0.388065\pi\)
−0.640802 + 0.767706i \(0.721398\pi\)
\(264\) −8.60748 + 6.66005i −0.529754 + 0.409898i
\(265\) 13.6270i 0.837100i
\(266\) 7.63805 18.7936i 0.468319 1.15231i
\(267\) −20.2437 8.28976i −1.23889 0.507325i
\(268\) −12.9822 + 22.4859i −0.793015 + 1.37354i
\(269\) 9.16772 0.558966 0.279483 0.960151i \(-0.409837\pi\)
0.279483 + 0.960151i \(0.409837\pi\)
\(270\) 3.24932 27.2208i 0.197748 1.65661i
\(271\) 6.82441i 0.414553i 0.978282 + 0.207277i \(0.0664600\pi\)
−0.978282 + 0.207277i \(0.933540\pi\)
\(272\) −12.4184 −0.752978
\(273\) 0.0307453 16.5227i 0.00186079 0.999998i
\(274\) −22.6360 −1.36749
\(275\) 0.231976i 0.0139887i
\(276\) −12.1514 + 29.6738i −0.731427 + 1.78615i
\(277\) −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
\(279\) 7.82050 + 2.02807i 0.468201 + 0.121417i
\(280\) −3.33888 24.1165i −0.199536 1.44124i
\(281\) 25.9693i 1.54920i −0.632454 0.774598i \(-0.717952\pi\)
0.632454 0.774598i \(-0.282048\pi\)
\(282\) 0.839419 + 1.08487i 0.0499867 + 0.0646030i
\(283\) −9.43593 5.44784i −0.560908 0.323840i 0.192602 0.981277i \(-0.438307\pi\)
−0.753510 + 0.657437i \(0.771641\pi\)
\(284\) 52.1831 + 30.1279i 3.09650 + 1.78776i
\(285\) −4.62242 + 11.2880i −0.273808 + 0.668642i
\(286\) 9.29921 9.06840i 0.549874 0.536226i
\(287\) 9.93353 24.4417i 0.586358 1.44275i
\(288\) −4.82998 + 4.90849i −0.284609 + 0.289235i
\(289\) 7.08062 0.416507
\(290\) 4.72688 0.277572
\(291\) −14.1595 18.2998i −0.830042 1.07275i
\(292\) 10.7476 6.20511i 0.628953 0.363126i
\(293\) 5.70408 9.87975i 0.333236 0.577181i −0.649909 0.760012i \(-0.725193\pi\)
0.983144 + 0.182831i \(0.0585262\pi\)
\(294\) 23.3576 + 17.2864i 1.36224 + 1.00817i
\(295\) 15.2414 26.3989i 0.887390 1.53700i
\(296\) 41.9969i 2.44102i
\(297\) −0.925735 + 7.75524i −0.0537166 + 0.450004i
\(298\) 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
\(303\) −23.9915 + 18.5635i −1.37828 + 1.06644i
\(304\) −7.01142 + 4.04805i −0.402133 + 0.232171i
\(305\) 6.22499i 0.356442i
\(306\) −24.7472 + 25.1494i −1.41470 + 1.43770i
\(307\) 1.16158i 0.0662951i 0.999450 + 0.0331476i \(0.0105531\pi\)
−0.999450 + 0.0331476i \(0.989447\pi\)
\(308\) 2.04200 + 14.7493i 0.116354 + 0.840419i
\(309\) 3.38334 + 4.37264i 0.192471 + 0.248751i
\(310\) −14.2082 −0.806970
\(311\) 3.49022 + 6.04524i 0.197912 + 0.342794i 0.947851 0.318713i \(-0.103251\pi\)
−0.749939 + 0.661507i \(0.769917\pi\)
\(312\) −16.0687 + 20.5751i −0.909708 + 1.16484i
\(313\) 17.1288 + 9.88930i 0.968175 + 0.558976i 0.898679 0.438606i \(-0.144528\pi\)
0.0694956 + 0.997582i \(0.477861\pi\)
\(314\) −16.7088 28.9405i −0.942933 1.63321i
\(315\) −14.0168 10.4310i −0.789759 0.587720i
\(316\) 11.3265 19.6181i 0.637166 1.10360i
\(317\) 6.37868 + 3.68273i 0.358262 + 0.206843i 0.668318 0.743875i \(-0.267014\pi\)
−0.310056 + 0.950718i \(0.600348\pi\)
\(318\) 3.45693 + 25.4644i 0.193855 + 1.42797i
\(319\) −1.34669 −0.0754003
\(320\) 11.6259 20.1367i 0.649909 1.12568i
\(321\) −1.35137 + 3.30005i −0.0754260 + 0.184191i
\(322\) 19.2521 + 24.7462i 1.07288 + 1.37905i
\(323\) 13.5959 7.84958i 0.756494 0.436762i
\(324\) −0.543311 33.6935i −0.0301840 1.87186i
\(325\) 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 0.832605 0.553867i \(-0.186848\pi\)
−0.895965 + 0.444124i \(0.853515\pi\)
\(332\) −10.2707 −0.563678
\(333\) 21.4825 + 21.1389i 1.17723 + 1.15840i
\(334\) −11.6500 + 6.72611i −0.637458 + 0.368036i
\(335\) −7.63249 13.2199i −0.417007 0.722278i
\(336\) −3.12124 11.1690i −0.170277 0.609318i
\(337\) −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
\(339\) −4.55571 5.88783i −0.247432 0.319783i
\(340\) 20.2227 35.0268i 1.09673 1.89960i
\(341\) 4.04792 0.219207
\(342\) −5.77422 + 22.2662i −0.312234 + 1.20402i
\(343\) 16.9652 7.42851i 0.916034 0.401102i
\(344\) −5.94244 3.43087i −0.320395 0.184980i
\(345\) −11.5365 14.9098i −0.621103 0.802717i
\(346\) 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 0.0958377 0.995397i \(-0.469447\pi\)
0.909958 + 0.414701i \(0.136114\pi\)
\(350\) −0.906620 0.368465i −0.0484609 0.0196953i
\(351\) 2.43663 + 18.5759i 0.130058 + 0.991506i
\(352\) −1.72514 + 2.98803i −0.0919502 + 0.159262i
\(353\) −7.88107 + 13.6504i −0.419467 + 0.726538i −0.995886 0.0906163i \(-0.971116\pi\)
0.576419 + 0.817154i \(0.304450\pi\)
\(354\) 21.7843 53.1974i 1.15782 2.82741i
\(355\) −30.6794 + 17.7128i −1.62830 + 0.940097i
\(356\) 47.2881 2.50626
\(357\) 6.05240 + 21.6578i 0.320327 + 1.14625i
\(358\) −23.4482 + 40.6136i −1.23928 + 2.14649i
\(359\) 5.88803 + 3.39946i 0.310759 + 0.179417i 0.647266 0.762264i \(-0.275912\pi\)
−0.336507 + 0.941681i \(0.609246\pi\)
\(360\) 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 0.0855383 0.996335i \(-0.472739\pi\)
−0.820082 + 0.572246i \(0.806072\pi\)
\(368\) 12.5127i 0.652267i
\(369\) −7.50955 + 28.9579i −0.390932 + 1.50749i
\(370\) −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 0.985480 0.169789i \(-0.0543086\pi\)
−0.639782 + 0.768557i \(0.720975\pi\)
\(374\) −8.83902 + 15.3096i −0.457055 + 0.791642i
\(375\) 18.1864 + 7.44730i 0.939140 + 0.384577i
\(376\) −1.19626 0.690663i −0.0616926 0.0356182i
\(377\) −3.13057 + 0.796814i −0.161233 + 0.0410380i
\(378\) −28.8390 15.9363i −1.48332 0.819674i
\(379\) −11.9437 20.6870i −0.613504 1.06262i −0.990645 0.136464i \(-0.956426\pi\)
0.377141 0.926156i \(-0.376907\pi\)
\(380\) 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 \(-0.153670\pi\)
−0.844893 + 0.534935i \(0.820336\pi\)
\(384\) 13.6034 33.2196i 0.694194 1.69523i
\(385\) −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 \(-0.474443\pi\)
0.903337 + 0.428932i \(0.141110\pi\)
\(390\) −12.3483 30.5461i −0.625279 1.54676i
\(391\) 24.2633i 1.22705i
\(392\) −28.3639 7.19576i −1.43259 0.363441i
\(393\) −17.0466 + 13.1899i −0.859889 + 0.665340i
\(394\) −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 0.0145798 0.999894i \(-0.495359\pi\)
0.873223 + 0.487320i \(0.162026\pi\)
\(398\) 21.0089 1.05308
\(399\) 10.4770 + 10.2551i 0.524506 + 0.513395i
\(400\) 0.195281 + 0.338236i 0.00976404 + 0.0169118i
\(401\) 32.5300i 1.62447i −0.583330 0.812235i \(-0.698251\pi\)
0.583330 0.812235i \(-0.301749\pi\)
\(402\) −17.6163 22.7674i −0.878620 1.13553i
\(403\) 9.40996 2.39508i 0.468743 0.119308i
\(404\) 32.7876 56.7897i 1.63124 2.82539i
\(405\) 17.3148 + 9.62788i 0.860380 + 0.478413i
\(406\) 2.13906 5.26322i 0.106160 0.261209i
\(407\) 13.0774 + 7.55024i 0.648223 + 0.374252i
\(408\) 13.4647 32.8808i 0.666600 1.62784i
\(409\) 26.4267i 1.30672i 0.757049 + 0.653358i \(0.226640\pi\)
−0.757049 + 0.653358i \(0.773360\pi\)
\(410\) 52.6102i 2.59823i
\(411\) 6.19919 15.1385i 0.305784 0.746727i
\(412\) −10.3504 5.97578i −0.509926 0.294406i
\(413\) −22.4971 28.9171i −1.10701 1.42292i
\(414\) −25.3403 24.9349i −1.24541 1.22549i
\(415\) 3.01917 5.22936i 0.148205 0.256699i
\(416\) −2.24236 + 7.96682i −0.109941 + 0.390605i
\(417\) −4.77797 6.17507i −0.233978 0.302394i
\(418\) 11.5251i 0.563709i
\(419\) −7.22669 12.5170i −0.353047 0.611495i 0.633735 0.773550i \(-0.281521\pi\)
−0.986782 + 0.162055i \(0.948188\pi\)
\(420\) 36.5855 + 9.38449i 1.78519 + 0.457916i
\(421\) −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
\(426\) −52.8364 + 40.8822i −2.55993 + 1.98075i
\(427\) −6.93132 2.81700i −0.335430 0.136324i
\(428\) 7.70874i 0.372616i
\(429\) 3.51803 + 8.70262i 0.169852 + 0.420166i
\(430\) 7.49971 4.32996i 0.361668 0.208809i
\(431\) −10.4396 6.02731i −0.502858 0.290325i 0.227035 0.973887i \(-0.427097\pi\)
−0.729893 + 0.683561i \(0.760430\pi\)
\(432\) 5.17870 + 12.0870i 0.249160 + 0.581535i
\(433\) −23.4870 13.5603i −1.12872 0.651664i −0.185104 0.982719i \(-0.559262\pi\)
−0.943612 + 0.331055i \(0.892595\pi\)
\(434\) −6.42964 + 15.8203i −0.308632 + 0.759399i
\(435\) −1.29452 + 3.16123i −0.0620676 + 0.151570i
\(436\) −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 \(-0.967997\pi\)
0.994950 0.100371i \(-0.0320031\pi\)
\(440\) 6.91583 + 11.9786i 0.329699 + 0.571056i
\(441\) −17.9576 + 10.8869i −0.855123 + 0.518424i
\(442\) −11.4891 + 40.8193i −0.546481 + 1.94157i
\(443\) 10.9258 + 6.30802i 0.519101 + 0.299703i 0.736567 0.676365i \(-0.236446\pi\)
−0.217466 + 0.976068i \(0.569779\pi\)
\(444\) −60.2923 24.6896i −2.86135 1.17172i
\(445\) −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 \(-0.288212\pi\)
−0.372634 + 0.927979i \(0.621545\pi\)
\(450\) 1.07414 + 0.278553i 0.0506353 + 0.0131311i
\(451\) 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 \(-0.713907\pi\)
0.989007 + 0.147867i \(0.0472408\pi\)
\(462\) −15.9909 4.10180i −0.743964 0.190833i
\(463\) −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
\(465\) 3.89111 9.50212i 0.180446 0.440650i
\(466\) 8.11995 14.0642i 0.376149 0.651510i
\(467\) 11.4121 19.7663i 0.528087 0.914674i −0.471377 0.881932i \(-0.656243\pi\)
0.999464 0.0327419i \(-0.0104239\pi\)
\(468\) −20.0917 35.1647i −0.928740 1.62549i
\(469\) −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
\(474\) 15.3696 + 19.8637i 0.705947 + 0.912369i
\(475\) −0.427592 0.246871i −0.0196193 0.0113272i
\(476\) −29.8497 38.3680i −1.36816 1.75860i
\(477\) −17.9768 4.66186i −0.823100 0.213452i
\(478\) −37.0134 −1.69295
\(479\) −1.19588 + 2.07132i −0.0546411 + 0.0946412i −0.892052 0.451932i \(-0.850735\pi\)
0.837411 + 0.546574i \(0.184068\pi\)
\(480\) 5.35581 + 6.92187i 0.244458 + 0.315939i
\(481\) 34.8676 + 9.81393i 1.58983 + 0.447476i
\(482\) −16.8706 −0.768435
\(483\) −21.8222 + 6.09832i −0.992942 + 0.277483i
\(484\) 16.3635 + 28.3424i 0.743796 + 1.28829i
\(485\) −25.4668 + 14.7033i −1.15639 + 0.667641i
\(486\) 34.7982 + 13.5989i 1.57848 + 0.616858i
\(487\) 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 \(-0.638614\pi\)
0.574283 + 0.818657i \(0.305281\pi\)
\(492\) −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
\(495\) 9.60838 + 2.49171i 0.431865 + 0.111994i
\(496\) 5.90215 3.40761i 0.265014 0.153006i
\(497\) 5.83918 + 42.1761i 0.261923 + 1.89186i
\(498\) 4.31524 10.5379i 0.193371 0.472213i
\(499\) 16.3007 28.2336i 0.729718 1.26391i −0.227284 0.973829i \(-0.572984\pi\)
0.957002 0.290081i \(-0.0936822\pi\)
\(500\) −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 \(-0.931254\pi\)
0.673971 + 0.738758i \(0.264587\pi\)
\(504\) 32.9568 + 3.84573i 1.46801 + 0.171302i
\(505\) 19.2764 + 33.3877i 0.857789 + 1.48573i
\(506\) −15.4258 8.90609i −0.685760 0.395924i
\(507\) 13.3273 + 18.1489i 0.591888 + 0.806020i
\(508\) 33.1094 + 57.3472i 1.46899 + 2.54437i
\(509\) −15.4269 −0.683787 −0.341894 0.939739i \(-0.611068\pi\)
−0.341894 + 0.939739i \(0.611068\pi\)
\(510\) 27.4413 + 35.4653i 1.21512 + 1.57043i
\(511\) 8.12406 + 3.30175i 0.359387 + 0.146061i
\(512\) 26.9670i 1.19179i
\(513\) −13.3098 9.95957i −0.587641 0.439726i
\(514\) 49.4195i 2.17980i
\(515\) 6.08517 3.51327i 0.268145 0.154813i
\(516\) 8.41899 6.51420i 0.370625 0.286772i
\(517\) −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 \(-0.0404279\pi\)
−0.605669 + 0.795716i \(0.707095\pi\)
\(522\) −1.61709 + 6.23571i −0.0707780 + 0.272930i
\(523\) 16.0990i 0.703958i 0.936008 + 0.351979i \(0.114491\pi\)
−0.936008 + 0.351979i \(0.885509\pi\)
\(524\) 23.2964 40.3506i 1.01771 1.76273i
\(525\) 0.494712 0.505418i 0.0215910 0.0220583i
\(526\) −6.65022 + 11.5185i −0.289964 + 0.502232i
\(527\) −11.4449 + 6.60770i −0.498547 + 0.287836i
\(528\) 4.03179 + 5.21071i 0.175461 + 0.226767i
\(529\) −1.44743 −0.0629317
\(530\) 32.6599 1.41866
\(531\) 29.6113 + 29.1377i 1.28502 + 1.26447i
\(532\) −29.3600 11.9324i −1.27292 0.517334i
\(533\) 8.86854 + 34.8433i 0.384139 + 1.50923i
\(534\) −19.8681 + 48.5181i −0.859778 + 2.09959i
\(535\) 3.92493 + 2.26606i 0.169689 + 0.0979702i
\(536\) 25.1051 + 14.4944i 1.08438 + 0.626064i
\(537\) −20.7398 26.8043i −0.894990 1.15669i
\(538\) 21.9723i 0.947294i
\(539\) −7.33996 + 7.53856i −0.316155 + 0.324709i
\(540\) −42.5252 5.07619i −1.82999 0.218444i
\(541\) −11.6387 + 20.1589i −0.500388 + 0.866697i 0.499612 + 0.866249i \(0.333476\pi\)
−1.00000 0.000447572i \(0.999858\pi\)
\(542\) 16.3561 0.702555
\(543\) 1.00310 2.44957i 0.0430470 0.105121i
\(544\) 11.2642i 0.482951i
\(545\) 11.1897 0.479313
\(546\) −39.6000 0.0736874i −1.69472 0.00315353i
\(547\) 32.4180 1.38609 0.693046 0.720893i \(-0.256268\pi\)
0.693046 + 0.720893i \(0.256268\pi\)
\(548\) 35.3627i 1.51062i
\(549\) 8.21202 + 2.12960i 0.350481 + 0.0908891i
\(550\) 0.555977 0.0237070
\(551\) 1.43316 2.48231i 0.0610548 0.105750i
\(552\) 33.1303 + 13.5668i 1.41012 + 0.577443i
\(553\) 15.8560 2.19522i 0.674264 0.0933503i
\(554\) 7.11132i 0.302131i
\(555\) 30.2943 23.4402i 1.28592 0.994983i
\(556\) 14.6168 + 8.43904i 0.619892 + 0.357895i
\(557\) −7.16449 4.13642i −0.303569 0.175266i 0.340476 0.940253i \(-0.389412\pi\)
−0.644045 + 0.764987i \(0.722745\pi\)
\(558\) 4.86068 18.7435i 0.205769 0.793474i
\(559\) −4.23709 + 4.13193i −0.179210 + 0.174762i
\(560\) −14.5994 + 2.02126i −0.616939 + 0.0854137i
\(561\) −7.81806 10.1041i −0.330079 0.426595i
\(562\) −62.2407 −2.62547
\(563\) −41.4857 −1.74841 −0.874206 0.485555i \(-0.838617\pi\)
−0.874206 + 0.485555i \(0.838617\pi\)
\(564\) 1.69481 1.31136i 0.0713645 0.0552184i
\(565\) −8.19378 + 4.73068i −0.344715 + 0.199021i
\(566\) −13.0569 + 22.6152i −0.548821 + 0.950586i
\(567\) 18.5558 14.9225i 0.779270 0.626688i
\(568\) 33.6374 58.2616i 1.41139 2.44460i
\(569\) 15.4494i 0.647673i −0.946113 0.323837i \(-0.895027\pi\)
0.946113 0.323837i \(-0.104973\pi\)
\(570\) 27.0540 + 11.0786i 1.13317 + 0.464031i
\(571\) −16.0896 27.8680i −0.673329 1.16624i −0.976954 0.213449i \(-0.931530\pi\)
0.303625 0.952792i \(-0.401803\pi\)
\(572\) −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
\(576\) 22.5871 + 22.2258i 0.941128 + 0.926075i
\(577\) −19.3075 + 11.1472i −0.803783 + 0.464064i −0.844792 0.535094i \(-0.820276\pi\)
0.0410092 + 0.999159i \(0.486943\pi\)
\(578\) 16.9702i 0.705866i
\(579\) −14.3248 + 11.0838i −0.595317 + 0.460627i
\(580\) 7.38447i 0.306623i
\(581\) −4.45644 5.72819i −0.184884 0.237645i
\(582\) −43.8592 + 33.9361i −1.81802 + 1.40670i
\(583\) −9.30484 −0.385367
\(584\) −6.92790 11.9995i −0.286679 0.496542i
\(585\) 23.8103 + 0.107225i 0.984436 + 0.00443319i
\(586\) −23.6789 13.6710i −0.978165 0.564744i
\(587\) 19.0213 + 32.9459i 0.785094 + 1.35982i 0.928943 + 0.370223i \(0.120719\pi\)
−0.143849 + 0.989600i \(0.545948\pi\)
\(588\) 27.0054 36.4899i 1.11368 1.50482i
\(589\) −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 \(-0.839666\pi\)
0.855907 + 0.517129i \(0.172999\pi\)
\(594\) 18.5870 + 2.21872i 0.762635 + 0.0910350i
\(595\) 28.3098 3.91942i 1.16059 0.160681i
\(596\) 61.0928 35.2719i 2.50246 1.44479i
\(597\) −5.75358 + 14.0503i −0.235478 + 0.575040i
\(598\) −41.1290 11.5763i −1.68189 0.473389i
\(599\) −32.1172 + 18.5429i −1.31228 + 0.757642i −0.982472 0.186408i \(-0.940315\pi\)
−0.329803 + 0.944050i \(0.606982\pi\)
\(600\) −1.10730 + 0.150322i −0.0452052 + 0.00613686i
\(601\) −9.42183 + 5.43970i −0.384324 + 0.221890i −0.679698 0.733492i \(-0.737889\pi\)
0.295374 + 0.955382i \(0.404556\pi\)
\(602\) −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
\(606\) 44.4912 + 57.5007i 1.80733 + 2.33580i
\(607\) 14.0368 8.10415i 0.569736 0.328937i −0.187308 0.982301i \(-0.559976\pi\)
0.757044 + 0.653364i \(0.226643\pi\)
\(608\) −3.67182 6.35977i −0.148912 0.257923i
\(609\) 2.93411 + 2.87196i 0.118896 + 0.116378i
\(610\) −14.9195 −0.604072
\(611\) −0.852962 + 0.831792i −0.0345072 + 0.0336507i
\(612\) 39.2892 + 38.6607i 1.58817 + 1.56277i
\(613\) 16.3691 28.3521i 0.661142 1.14513i −0.319174 0.947696i \(-0.603406\pi\)
0.980316 0.197435i \(-0.0632611\pi\)
\(614\) 2.78398 0.112352
\(615\) 35.1846 + 14.4080i 1.41878 + 0.580988i
\(616\) 16.4674 2.27987i 0.663489 0.0918584i
\(617\) 33.8949 + 19.5692i 1.36456 + 0.787828i 0.990227 0.139467i \(-0.0445389\pi\)
0.374331 + 0.927295i \(0.377872\pi\)
\(618\) 10.4799 8.10886i 0.421565 0.326186i
\(619\) −4.41436 + 2.54863i −0.177428 + 0.102438i −0.586084 0.810250i \(-0.699331\pi\)
0.408656 + 0.912689i \(0.365998\pi\)
\(620\) 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
\(624\) 12.4555 + 9.72748i 0.498621 + 0.389411i
\(625\) 12.1023 20.9617i 0.484090 0.838469i
\(626\) 23.7017 41.0526i 0.947312 1.64079i
\(627\) −7.70770 3.15630i −0.307816 0.126050i
\(628\) −45.2117 + 26.1030i −1.80414 + 1.04162i
\(629\) −49.2991 −1.96569
\(630\) −25.0000 + 33.5942i −0.996025 + 1.33843i
\(631\) 24.5250 42.4785i 0.976324 1.69104i 0.300828 0.953678i \(-0.402737\pi\)
0.675496 0.737364i \(-0.263930\pi\)
\(632\) −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 \(0.829191\pi\)
\(642\) 7.90926 + 3.23883i 0.312154 + 0.127827i
\(643\) 19.3103 + 11.1488i 0.761526 + 0.439667i 0.829843 0.557997i \(-0.188430\pi\)
−0.0683177 + 0.997664i \(0.521763\pi\)
\(644\) 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 \(-0.706797\pi\)
0.992063 + 0.125741i \(0.0401307\pi\)
\(648\) −37.6182 + 0.606599i −1.47778 + 0.0238295i
\(649\) 18.0258 + 10.4072i 0.707575 + 0.408518i
\(650\) 1.29245 0.328962i 0.0506939 0.0129029i
\(651\) −8.81943 8.63261i −0.345661 0.338339i
\(652\) 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
\(657\) −9.62516 2.49606i −0.375513 0.0973807i
\(658\) −0.287350 2.07551i −0.0112021 0.0809119i
\(659\) −12.6857 7.32409i −0.494165 0.285306i 0.232136 0.972683i \(-0.425429\pi\)
−0.726301 + 0.687377i \(0.758762\pi\)
\(660\) −21.2626 + 2.88652i −0.827646 + 0.112358i
\(661\) −1.74192 1.00570i −0.0677529 0.0391172i 0.465741 0.884921i \(-0.345788\pi\)
−0.533494 + 0.845804i \(0.679121\pi\)
\(662\) −4.78526 + 2.76277i −0.185984 + 0.107378i
\(663\) −24.1526 18.8626i −0.938009 0.732562i
\(664\) 11.4671i 0.445009i
\(665\) 14.7060 11.4411i 0.570276 0.443666i
\(666\) 50.6637 51.4873i 1.96318 1.99509i
\(667\) 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
\(672\) 10.1309 2.83114i 0.390809 0.109214i
\(673\) −3.60802 6.24928i −0.139079 0.240892i 0.788069 0.615587i \(-0.211081\pi\)
−0.927148 + 0.374695i \(0.877748\pi\)
\(674\) 23.9533i 0.922646i
\(675\) −0.480457 + 0.642074i −0.0184928 + 0.0247134i
\(676\) −41.5286 25.3889i −1.59726 0.976494i
\(677\) 12.2214 21.1681i 0.469706 0.813554i −0.529694 0.848189i \(-0.677693\pi\)
0.999400 + 0.0346344i \(0.0110267\pi\)
\(678\) −14.1114 + 10.9187i −0.541945 + 0.419331i
\(679\) 4.84706 + 35.0101i 0.186013 + 1.34356i
\(680\) −39.1069 22.5784i −1.49968 0.865841i
\(681\) 6.38875 + 2.61619i 0.244817 + 0.100252i
\(682\) 9.70168i 0.371496i
\(683\) 6.35051i 0.242995i −0.992592 0.121498i \(-0.961230\pi\)
0.992592 0.121498i \(-0.0387697\pi\)
\(684\) 34.7849 + 9.02065i 1.33003 + 0.344913i
\(685\) −18.0050 10.3952i −0.687935 0.397180i
\(686\) −17.8040 40.6606i −0.679758 1.55243i
\(687\) 1.60585 + 2.07540i 0.0612669 + 0.0791816i
\(688\) −2.07694 + 3.59737i −0.0791828 + 0.137149i
\(689\) −21.6304 + 5.50551i −0.824053 + 0.209743i
\(690\) −35.7344 + 27.6495i −1.36039 + 1.05260i
\(691\) 5.74331i 0.218486i 0.994015 + 0.109243i \(0.0348427\pi\)
−0.994015 + 0.109243i \(0.965157\pi\)
\(692\) −44.7558 77.5193i −1.70136 2.94684i
\(693\) 7.12253 9.57103i 0.270562 0.363573i
\(694\) 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
\(699\) 7.18204 + 9.28211i 0.271650 + 0.351082i
\(700\) −0.575627 + 1.41635i −0.0217567 + 0.0535329i
\(701\) 14.7876i 0.558520i −0.960216 0.279260i \(-0.909911\pi\)
0.960216 0.279260i \(-0.0900891\pi\)
\(702\) 44.5209 5.83990i 1.68033 0.220413i
\(703\) −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
\(708\) −83.1065 34.0320i −3.12333 1.27900i
\(709\) 24.3473 + 42.1707i 0.914381 + 1.58375i 0.807805 + 0.589450i \(0.200655\pi\)
0.106576 + 0.994305i \(0.466011\pi\)
\(710\) 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
\(714\) 51.9075 14.5058i 1.94259 0.542867i
\(715\) 11.5612 2.94263i 0.432365 0.110048i
\(716\) 63.4476 + 36.6315i 2.37115 + 1.36898i
\(717\) 10.1366 24.7538i 0.378560 0.924446i
\(718\) 8.14751 14.1119i 0.304062 0.526651i
\(719\) 14.8764 + 25.7667i 0.554796 + 0.960935i 0.997919 + 0.0644743i \(0.0205371\pi\)
−0.443123 + 0.896461i \(0.646130\pi\)
\(720\) 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
\(723\) 4.62025 11.2827i 0.171829 0.419608i
\(724\) 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 \(0.271663\pi\)
−0.657385 + 0.753555i \(0.728337\pi\)
\(728\) 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 −0.0299887 0.999550i \(-0.509547\pi\)
−0.880630 + 0.473804i \(0.842880\pi\)
\(734\) −19.4718 + 33.7261i −0.718716 + 1.24485i
\(735\) 10.6404 + 24.4764i 0.392479 + 0.902826i
\(736\) 11.3497 0.418356
\(737\) 9.02683 5.21164i 0.332508 0.191973i
\(738\) 69.4035 + 17.9982i 2.55478 + 0.662523i
\(739\) −15.6689 + 27.1393i −0.576389 + 0.998335i 0.419500 + 0.907755i \(0.362205\pi\)
−0.995889 + 0.0905800i \(0.971128\pi\)
\(740\) −41.4011 + 71.7088i −1.52193 + 2.63607i
\(741\) −19.7852 2.77674i −0.726826 0.102006i
\(742\) 14.7796 36.3657i 0.542577 1.33503i
\(743\) 11.8552 6.84459i 0.434924 0.251104i −0.266518 0.963830i \(-0.585873\pi\)
0.701442 + 0.712726i \(0.252540\pi\)
\(744\) 2.62308 + 19.3221i 0.0961667 + 0.708382i
\(745\) 41.4741i 1.51949i
\(746\) 27.7158 16.0017i 1.01475 0.585865i
\(747\) 5.86570 + 5.77188i 0.214615 + 0.211182i
\(748\) 23.9171 + 13.8086i 0.874497 + 0.504891i
\(749\) 4.29933 3.34481i 0.157094 0.122217i
\(750\) 17.8490 43.5874i 0.651753 1.59159i
\(751\) 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
\(753\) −4.63794 + 3.58861i −0.169016 + 0.130776i
\(754\) 1.90973 + 7.50307i 0.0695482 + 0.273246i
\(755\) −18.1412 −0.660225
\(756\) −24.8961 + 45.0532i −0.905463 + 1.63857i
\(757\) −3.23204 5.59806i −0.117471 0.203465i 0.801294 0.598271i \(-0.204145\pi\)
−0.918765 + 0.394806i \(0.870812\pi\)
\(758\) −49.5807 + 28.6254i −1.80085 + 1.03972i
\(759\) 10.1808 7.87738i 0.369538 0.285931i
\(760\) −29.4396 −1.06789
\(761\) −6.91097 11.9702i −0.250523 0.433918i 0.713147 0.701014i \(-0.247269\pi\)
−0.963670 + 0.267096i \(0.913936\pi\)
\(762\) −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
\(768\) −45.7560 18.7370i −1.65108 0.676114i
\(769\) 1.89305 1.09295i 0.0682650 0.0394128i −0.465479 0.885059i \(-0.654118\pi\)
0.533744 + 0.845646i \(0.320785\pi\)
\(770\) −7.89955 + 19.4371i −0.284680 + 0.700463i
\(771\) 33.0507 + 13.5342i 1.19029 + 0.487423i
\(772\) 19.5767 33.9078i 0.704579 1.22037i
\(773\) −8.34018 −0.299975 −0.149988 0.988688i \(-0.547923\pi\)
−0.149988 + 0.988688i \(0.547923\pi\)
\(774\)