Properties

Label 570.2.u.a.301.1
Level $570$
Weight $2$
Character 570.301
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 301.1
Root \(0.939693 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 570.301
Dual form 570.2.u.a.481.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 - 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(-2.35844 - 4.08494i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\) \(q+(-0.766044 - 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(-2.35844 - 4.08494i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(0.766044 - 0.642788i) q^{10} +(0.766044 - 1.32683i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-2.24510 - 0.817150i) q^{13} +(-0.819078 + 4.64522i) q^{14} +(0.173648 + 0.984808i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.184793 - 0.155059i) q^{17} -1.00000 q^{18} +(-2.23396 + 3.74292i) q^{19} -1.00000 q^{20} +(-3.61334 - 3.03195i) q^{21} +(-1.43969 + 0.524005i) q^{22} +(-1.16385 - 6.60051i) q^{23} +(0.173648 - 0.984808i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(1.19459 + 2.06910i) q^{26} +(0.500000 - 0.866025i) q^{27} +(3.61334 - 3.03195i) q^{28} +(1.34730 - 1.13052i) q^{29} +(0.500000 - 0.866025i) q^{30} +(-3.41147 - 5.90885i) q^{31} +(0.939693 + 0.342020i) q^{32} +(0.266044 - 1.50881i) q^{33} +(0.0418891 + 0.237565i) q^{34} +(4.43242 - 1.61327i) q^{35} +(0.766044 + 0.642788i) q^{36} -9.39693 q^{37} +(4.11721 - 1.43128i) q^{38} -2.38919 q^{39} +(0.766044 + 0.642788i) q^{40} +(11.2626 - 4.09927i) q^{41} +(0.819078 + 4.64522i) q^{42} +(1.29086 - 7.32083i) q^{43} +(1.43969 + 0.524005i) q^{44} +(0.500000 + 0.866025i) q^{45} +(-3.35117 + 5.80439i) q^{46} +(4.17752 - 3.50535i) q^{47} +(-0.766044 + 0.642788i) q^{48} +(-7.62449 + 13.2060i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-0.226682 - 0.0825054i) q^{51} +(0.414878 - 2.35289i) q^{52} +(1.04576 + 5.93080i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(1.17365 + 0.984808i) q^{55} -4.71688 q^{56} +(-0.819078 + 4.28125i) q^{57} -1.75877 q^{58} +(-7.24170 - 6.07650i) q^{59} +(-0.939693 + 0.342020i) q^{60} +(0.453363 + 2.57115i) q^{61} +(-1.18479 + 6.71929i) q^{62} +(-4.43242 - 1.61327i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.19459 - 2.06910i) q^{65} +(-1.17365 + 0.984808i) q^{66} +(-3.16250 + 2.65366i) q^{67} +(0.120615 - 0.208911i) q^{68} +(-3.35117 - 5.80439i) q^{69} +(-4.43242 - 1.61327i) q^{70} +(-1.26857 + 7.19442i) q^{71} +(-0.173648 - 0.984808i) q^{72} +(4.10607 - 1.49449i) q^{73} +(7.19846 + 6.04023i) q^{74} -1.00000 q^{75} +(-4.07398 - 1.55007i) q^{76} -7.22668 q^{77} +(1.83022 + 1.53574i) q^{78} +(9.06418 - 3.29909i) q^{79} +(-0.173648 - 0.984808i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-11.2626 - 4.09927i) q^{82} +(4.94356 + 8.56250i) q^{83} +(2.35844 - 4.08494i) q^{84} +(0.184793 - 0.155059i) q^{85} +(-5.69459 + 4.77833i) q^{86} +(0.879385 - 1.52314i) q^{87} +(-0.766044 - 1.32683i) q^{88} +(4.75150 + 1.72940i) q^{89} +(0.173648 - 0.984808i) q^{90} +(1.95693 + 11.0983i) q^{91} +(6.29813 - 2.29233i) q^{92} +(-5.22668 - 4.38571i) q^{93} -5.45336 q^{94} +(-3.29813 - 2.84997i) q^{95} +1.00000 q^{96} +(-4.41147 - 3.70167i) q^{97} +(14.3293 - 5.21546i) q^{98} +(-0.266044 - 1.50881i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 6q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 6q^{7} + 3q^{8} + 3q^{12} - 12q^{13} + 12q^{14} + 6q^{17} - 6q^{18} - 18q^{19} - 6q^{20} - 15q^{21} - 3q^{22} - 3q^{23} + 3q^{26} + 3q^{27} + 15q^{28} + 6q^{29} + 3q^{30} - 3q^{33} - 6q^{34} + 3q^{35} - 6q^{38} - 6q^{39} + 21q^{41} - 12q^{42} - 24q^{43} + 3q^{44} + 3q^{45} + 6q^{46} - 33q^{49} + 3q^{50} + 12q^{51} + 24q^{52} - 24q^{53} + 6q^{55} - 12q^{56} + 12q^{57} + 12q^{58} - 24q^{61} - 3q^{63} - 3q^{64} + 3q^{65} - 6q^{66} - 24q^{67} + 12q^{68} + 6q^{69} - 3q^{70} + 12q^{71} + 15q^{74} - 6q^{75} - 9q^{76} - 30q^{77} - 12q^{78} + 36q^{79} - 21q^{82} + 6q^{84} - 6q^{85} - 30q^{86} - 6q^{87} - 12q^{89} + 24q^{91} + 24q^{92} - 18q^{93} - 6q^{94} - 6q^{95} + 6q^{96} - 6q^{97} + 6q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 0.642788i −0.541675 0.454519i
\(3\) 0.939693 0.342020i 0.542532 0.197465i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −0.173648 + 0.984808i −0.0776578 + 0.440419i
\(6\) −0.939693 0.342020i −0.383628 0.139629i
\(7\) −2.35844 4.08494i −0.891407 1.54396i −0.838190 0.545379i \(-0.816386\pi\)
−0.0532172 0.998583i \(-0.516948\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 0.766044 0.642788i 0.255348 0.214263i
\(10\) 0.766044 0.642788i 0.242245 0.203267i
\(11\) 0.766044 1.32683i 0.230971 0.400054i −0.727123 0.686507i \(-0.759143\pi\)
0.958094 + 0.286453i \(0.0924764\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) −2.24510 0.817150i −0.622679 0.226637i 0.0113629 0.999935i \(-0.496383\pi\)
−0.634042 + 0.773299i \(0.718605\pi\)
\(14\) −0.819078 + 4.64522i −0.218908 + 1.24149i
\(15\) 0.173648 + 0.984808i 0.0448358 + 0.254276i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −0.184793 0.155059i −0.0448188 0.0376074i 0.620103 0.784520i \(-0.287091\pi\)
−0.664922 + 0.746913i \(0.731535\pi\)
\(18\) −1.00000 −0.235702
\(19\) −2.23396 + 3.74292i −0.512505 + 0.858685i
\(20\) −1.00000 −0.223607
\(21\) −3.61334 3.03195i −0.788496 0.661626i
\(22\) −1.43969 + 0.524005i −0.306943 + 0.111718i
\(23\) −1.16385 6.60051i −0.242679 1.37630i −0.825822 0.563932i \(-0.809288\pi\)
0.583142 0.812370i \(-0.301823\pi\)
\(24\) 0.173648 0.984808i 0.0354458 0.201023i
\(25\) −0.939693 0.342020i −0.187939 0.0684040i
\(26\) 1.19459 + 2.06910i 0.234279 + 0.405783i
\(27\) 0.500000 0.866025i 0.0962250 0.166667i
\(28\) 3.61334 3.03195i 0.682857 0.572985i
\(29\) 1.34730 1.13052i 0.250187 0.209932i −0.509066 0.860727i \(-0.670009\pi\)
0.759253 + 0.650796i \(0.225565\pi\)
\(30\) 0.500000 0.866025i 0.0912871 0.158114i
\(31\) −3.41147 5.90885i −0.612719 1.06126i −0.990780 0.135480i \(-0.956742\pi\)
0.378061 0.925781i \(-0.376591\pi\)
\(32\) 0.939693 + 0.342020i 0.166116 + 0.0604612i
\(33\) 0.266044 1.50881i 0.0463124 0.262651i
\(34\) 0.0418891 + 0.237565i 0.00718392 + 0.0407420i
\(35\) 4.43242 1.61327i 0.749215 0.272692i
\(36\) 0.766044 + 0.642788i 0.127674 + 0.107131i
\(37\) −9.39693 −1.54485 −0.772423 0.635109i \(-0.780955\pi\)
−0.772423 + 0.635109i \(0.780955\pi\)
\(38\) 4.11721 1.43128i 0.667900 0.232185i
\(39\) −2.38919 −0.382576
\(40\) 0.766044 + 0.642788i 0.121122 + 0.101634i
\(41\) 11.2626 4.09927i 1.75893 0.640198i 0.758988 0.651104i \(-0.225694\pi\)
0.999941 + 0.0109063i \(0.00347164\pi\)
\(42\) 0.819078 + 4.64522i 0.126386 + 0.716773i
\(43\) 1.29086 7.32083i 0.196854 1.11642i −0.712899 0.701267i \(-0.752618\pi\)
0.909753 0.415149i \(-0.136271\pi\)
\(44\) 1.43969 + 0.524005i 0.217042 + 0.0789968i
\(45\) 0.500000 + 0.866025i 0.0745356 + 0.129099i
\(46\) −3.35117 + 5.80439i −0.494103 + 0.855811i
\(47\) 4.17752 3.50535i 0.609354 0.511308i −0.285083 0.958503i \(-0.592021\pi\)
0.894437 + 0.447194i \(0.147577\pi\)
\(48\) −0.766044 + 0.642788i −0.110569 + 0.0927784i
\(49\) −7.62449 + 13.2060i −1.08921 + 1.88657i
\(50\) 0.500000 + 0.866025i 0.0707107 + 0.122474i
\(51\) −0.226682 0.0825054i −0.0317418 0.0115531i
\(52\) 0.414878 2.35289i 0.0575332 0.326287i
\(53\) 1.04576 + 5.93080i 0.143646 + 0.814658i 0.968444 + 0.249230i \(0.0801776\pi\)
−0.824798 + 0.565427i \(0.808711\pi\)
\(54\) −0.939693 + 0.342020i −0.127876 + 0.0465430i
\(55\) 1.17365 + 0.984808i 0.158255 + 0.132791i
\(56\) −4.71688 −0.630320
\(57\) −0.819078 + 4.28125i −0.108490 + 0.567066i
\(58\) −1.75877 −0.230938
\(59\) −7.24170 6.07650i −0.942789 0.791094i 0.0352798 0.999377i \(-0.488768\pi\)
−0.978068 + 0.208284i \(0.933212\pi\)
\(60\) −0.939693 + 0.342020i −0.121314 + 0.0441546i
\(61\) 0.453363 + 2.57115i 0.0580472 + 0.329202i 0.999978 0.00660445i \(-0.00210228\pi\)
−0.941931 + 0.335807i \(0.890991\pi\)
\(62\) −1.18479 + 6.71929i −0.150469 + 0.853351i
\(63\) −4.43242 1.61327i −0.558432 0.203253i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 1.19459 2.06910i 0.148171 0.256640i
\(66\) −1.17365 + 0.984808i −0.144466 + 0.121221i
\(67\) −3.16250 + 2.65366i −0.386361 + 0.324196i −0.815194 0.579188i \(-0.803370\pi\)
0.428832 + 0.903384i \(0.358925\pi\)
\(68\) 0.120615 0.208911i 0.0146267 0.0253342i
\(69\) −3.35117 5.80439i −0.403433 0.698767i
\(70\) −4.43242 1.61327i −0.529775 0.192822i
\(71\) −1.26857 + 7.19442i −0.150552 + 0.853821i 0.812189 + 0.583394i \(0.198276\pi\)
−0.962741 + 0.270426i \(0.912835\pi\)
\(72\) −0.173648 0.984808i −0.0204646 0.116061i
\(73\) 4.10607 1.49449i 0.480579 0.174916i −0.0903597 0.995909i \(-0.528802\pi\)
0.570939 + 0.820993i \(0.306579\pi\)
\(74\) 7.19846 + 6.04023i 0.836804 + 0.702162i
\(75\) −1.00000 −0.115470
\(76\) −4.07398 1.55007i −0.467317 0.177805i
\(77\) −7.22668 −0.823557
\(78\) 1.83022 + 1.53574i 0.207232 + 0.173888i
\(79\) 9.06418 3.29909i 1.01980 0.371177i 0.222611 0.974907i \(-0.428542\pi\)
0.797188 + 0.603731i \(0.206320\pi\)
\(80\) −0.173648 0.984808i −0.0194145 0.110105i
\(81\) 0.173648 0.984808i 0.0192942 0.109423i
\(82\) −11.2626 4.09927i −1.24375 0.452688i
\(83\) 4.94356 + 8.56250i 0.542627 + 0.939857i 0.998752 + 0.0499413i \(0.0159034\pi\)
−0.456126 + 0.889915i \(0.650763\pi\)
\(84\) 2.35844 4.08494i 0.257327 0.445703i
\(85\) 0.184793 0.155059i 0.0200436 0.0168185i
\(86\) −5.69459 + 4.77833i −0.614064 + 0.515261i
\(87\) 0.879385 1.52314i 0.0942800 0.163298i
\(88\) −0.766044 1.32683i −0.0816606 0.141440i
\(89\) 4.75150 + 1.72940i 0.503658 + 0.183316i 0.581338 0.813662i \(-0.302529\pi\)
−0.0776808 + 0.996978i \(0.524751\pi\)
\(90\) 0.173648 0.984808i 0.0183041 0.103808i
\(91\) 1.95693 + 11.0983i 0.205142 + 1.16342i
\(92\) 6.29813 2.29233i 0.656626 0.238992i
\(93\) −5.22668 4.38571i −0.541982 0.454777i
\(94\) −5.45336 −0.562471
\(95\) −3.29813 2.84997i −0.338381 0.292401i
\(96\) 1.00000 0.102062
\(97\) −4.41147 3.70167i −0.447917 0.375847i 0.390745 0.920499i \(-0.372217\pi\)
−0.838662 + 0.544652i \(0.816662\pi\)
\(98\) 14.3293 5.21546i 1.44748 0.526841i
\(99\) −0.266044 1.50881i −0.0267385 0.151641i
\(100\) 0.173648 0.984808i 0.0173648 0.0984808i
\(101\) −9.74422 3.54661i −0.969586 0.352901i −0.191803 0.981433i \(-0.561434\pi\)
−0.777783 + 0.628533i \(0.783656\pi\)
\(102\) 0.120615 + 0.208911i 0.0119426 + 0.0206853i
\(103\) 7.40033 12.8177i 0.729176 1.26297i −0.228056 0.973648i \(-0.573237\pi\)
0.957232 0.289322i \(-0.0934298\pi\)
\(104\) −1.83022 + 1.53574i −0.179468 + 0.150592i
\(105\) 3.61334 3.03195i 0.352626 0.295888i
\(106\) 3.01114 5.21546i 0.292468 0.506570i
\(107\) 5.51754 + 9.55666i 0.533401 + 0.923877i 0.999239 + 0.0390074i \(0.0124196\pi\)
−0.465838 + 0.884870i \(0.654247\pi\)
\(108\) 0.939693 + 0.342020i 0.0904220 + 0.0329109i
\(109\) −1.87939 + 10.6585i −0.180012 + 1.02090i 0.752185 + 0.658952i \(0.229000\pi\)
−0.932198 + 0.361950i \(0.882111\pi\)
\(110\) −0.266044 1.50881i −0.0253663 0.143860i
\(111\) −8.83022 + 3.21394i −0.838128 + 0.305053i
\(112\) 3.61334 + 3.03195i 0.341429 + 0.286493i
\(113\) 11.7588 1.10617 0.553086 0.833124i \(-0.313450\pi\)
0.553086 + 0.833124i \(0.313450\pi\)
\(114\) 3.37939 2.75314i 0.316508 0.257855i
\(115\) 6.70233 0.624996
\(116\) 1.34730 + 1.13052i 0.125093 + 0.104966i
\(117\) −2.24510 + 0.817150i −0.207560 + 0.0755455i
\(118\) 1.64156 + 9.30975i 0.151118 + 0.857032i
\(119\) −0.197586 + 1.12056i −0.0181127 + 0.102722i
\(120\) 0.939693 + 0.342020i 0.0857818 + 0.0312220i
\(121\) 4.32635 + 7.49346i 0.393305 + 0.681224i
\(122\) 1.30541 2.26103i 0.118186 0.204704i
\(123\) 9.18139 7.70410i 0.827858 0.694655i
\(124\) 5.22668 4.38571i 0.469370 0.393848i
\(125\) 0.500000 0.866025i 0.0447214 0.0774597i
\(126\) 2.35844 + 4.08494i 0.210107 + 0.363915i
\(127\) 20.5744 + 7.48849i 1.82569 + 0.664496i 0.994017 + 0.109225i \(0.0348369\pi\)
0.831670 + 0.555271i \(0.187385\pi\)
\(128\) −0.173648 + 0.984808i −0.0153485 + 0.0870455i
\(129\) −1.29086 7.32083i −0.113654 0.644563i
\(130\) −2.24510 + 0.817150i −0.196908 + 0.0716688i
\(131\) 8.19846 + 6.87933i 0.716303 + 0.601050i 0.926360 0.376640i \(-0.122920\pi\)
−0.210057 + 0.977689i \(0.567365\pi\)
\(132\) 1.53209 0.133351
\(133\) 20.5582 + 0.298120i 1.78263 + 0.0258503i
\(134\) 4.12836 0.356636
\(135\) 0.766044 + 0.642788i 0.0659306 + 0.0553223i
\(136\) −0.226682 + 0.0825054i −0.0194378 + 0.00707478i
\(137\) −0.248970 1.41198i −0.0212710 0.120634i 0.972323 0.233639i \(-0.0750634\pi\)
−0.993594 + 0.113005i \(0.963952\pi\)
\(138\) −1.16385 + 6.60051i −0.0990733 + 0.561873i
\(139\) −14.1468 5.14900i −1.19991 0.436733i −0.336720 0.941605i \(-0.609317\pi\)
−0.863194 + 0.504872i \(0.831540\pi\)
\(140\) 2.35844 + 4.08494i 0.199325 + 0.345240i
\(141\) 2.72668 4.72275i 0.229628 0.397727i
\(142\) 5.59627 4.69583i 0.469628 0.394065i
\(143\) −2.80406 + 2.35289i −0.234488 + 0.196758i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 0.879385 + 1.52314i 0.0730290 + 0.126490i
\(146\) −4.10607 1.49449i −0.339821 0.123685i
\(147\) −2.64796 + 15.0173i −0.218400 + 1.23861i
\(148\) −1.63176 9.25417i −0.134130 0.760688i
\(149\) 12.0915 4.40095i 0.990576 0.360540i 0.204633 0.978839i \(-0.434400\pi\)
0.785943 + 0.618299i \(0.212178\pi\)
\(150\) 0.766044 + 0.642788i 0.0625473 + 0.0524834i
\(151\) −0.241230 −0.0196310 −0.00981549 0.999952i \(-0.503124\pi\)
−0.00981549 + 0.999952i \(0.503124\pi\)
\(152\) 2.12449 + 3.80612i 0.172319 + 0.308717i
\(153\) −0.241230 −0.0195023
\(154\) 5.53596 + 4.64522i 0.446100 + 0.374323i
\(155\) 6.41147 2.33359i 0.514982 0.187438i
\(156\) −0.414878 2.35289i −0.0332168 0.188382i
\(157\) −0.0432332 + 0.245188i −0.00345039 + 0.0195681i −0.986484 0.163856i \(-0.947607\pi\)
0.983034 + 0.183424i \(0.0587180\pi\)
\(158\) −9.06418 3.29909i −0.721107 0.262462i
\(159\) 3.01114 + 5.21546i 0.238799 + 0.413612i
\(160\) −0.500000 + 0.866025i −0.0395285 + 0.0684653i
\(161\) −24.2178 + 20.3212i −1.90863 + 1.60153i
\(162\) −0.766044 + 0.642788i −0.0601861 + 0.0505022i
\(163\) 2.82295 4.88949i 0.221110 0.382974i −0.734035 0.679112i \(-0.762365\pi\)
0.955145 + 0.296137i \(0.0956986\pi\)
\(164\) 5.99273 + 10.3797i 0.467953 + 0.810519i
\(165\) 1.43969 + 0.524005i 0.112080 + 0.0407938i
\(166\) 1.71688 9.73692i 0.133256 0.755731i
\(167\) 2.23190 + 12.6577i 0.172709 + 0.979483i 0.940755 + 0.339088i \(0.110118\pi\)
−0.768045 + 0.640395i \(0.778771\pi\)
\(168\) −4.43242 + 1.61327i −0.341969 + 0.124466i
\(169\) −5.58584 4.68707i −0.429680 0.360544i
\(170\) −0.241230 −0.0185015
\(171\) 0.694593 + 4.30320i 0.0531168 + 0.329074i
\(172\) 7.43376 0.566819
\(173\) −9.55097 8.01422i −0.726147 0.609310i 0.202931 0.979193i \(-0.434953\pi\)
−0.929078 + 0.369883i \(0.879398\pi\)
\(174\) −1.65270 + 0.601535i −0.125291 + 0.0456022i
\(175\) 0.819078 + 4.64522i 0.0619165 + 0.351146i
\(176\) −0.266044 + 1.50881i −0.0200539 + 0.113731i
\(177\) −8.88326 3.23324i −0.667706 0.243025i
\(178\) −2.52822 4.37900i −0.189498 0.328220i
\(179\) −5.55556 + 9.62251i −0.415242 + 0.719220i −0.995454 0.0952453i \(-0.969636\pi\)
0.580212 + 0.814466i \(0.302970\pi\)
\(180\) −0.766044 + 0.642788i −0.0570976 + 0.0479106i
\(181\) 6.79292 5.69994i 0.504914 0.423673i −0.354421 0.935086i \(-0.615322\pi\)
0.859335 + 0.511413i \(0.170878\pi\)
\(182\) 5.63475 9.75968i 0.417676 0.723435i
\(183\) 1.30541 + 2.26103i 0.0964985 + 0.167140i
\(184\) −6.29813 2.29233i −0.464305 0.168993i
\(185\) 1.63176 9.25417i 0.119969 0.680380i
\(186\) 1.18479 + 6.71929i 0.0868732 + 0.492682i
\(187\) −0.347296 + 0.126406i −0.0253968 + 0.00924369i
\(188\) 4.17752 + 3.50535i 0.304677 + 0.255654i
\(189\) −4.71688 −0.343103
\(190\) 0.694593 + 4.30320i 0.0503911 + 0.312187i
\(191\) 11.9709 0.866184 0.433092 0.901350i \(-0.357422\pi\)
0.433092 + 0.901350i \(0.357422\pi\)
\(192\) −0.766044 0.642788i −0.0552845 0.0463892i
\(193\) 8.21213 2.98897i 0.591122 0.215151i −0.0291007 0.999576i \(-0.509264\pi\)
0.620223 + 0.784426i \(0.287042\pi\)
\(194\) 1.00000 + 5.67128i 0.0717958 + 0.407174i
\(195\) 0.414878 2.35289i 0.0297100 0.168494i
\(196\) −14.3293 5.21546i −1.02352 0.372533i
\(197\) −9.38191 16.2499i −0.668434 1.15776i −0.978342 0.206994i \(-0.933632\pi\)
0.309909 0.950766i \(-0.399702\pi\)
\(198\) −0.766044 + 1.32683i −0.0544404 + 0.0942936i
\(199\) −5.09833 + 4.27800i −0.361411 + 0.303260i −0.805353 0.592796i \(-0.798024\pi\)
0.443942 + 0.896056i \(0.353580\pi\)
\(200\) −0.766044 + 0.642788i −0.0541675 + 0.0454519i
\(201\) −2.06418 + 3.57526i −0.145596 + 0.252179i
\(202\) 5.18479 + 8.98032i 0.364801 + 0.631853i
\(203\) −7.79561 2.83737i −0.547144 0.199144i
\(204\) 0.0418891 0.237565i 0.00293282 0.0166329i
\(205\) 2.08125 + 11.8034i 0.145361 + 0.824383i
\(206\) −13.9081 + 5.06212i −0.969021 + 0.352695i
\(207\) −5.13429 4.30818i −0.356857 0.299439i
\(208\) 2.38919 0.165660
\(209\) 3.25490 + 5.83132i 0.225146 + 0.403361i
\(210\) −4.71688 −0.325496
\(211\) 12.4422 + 10.4403i 0.856558 + 0.718737i 0.961224 0.275770i \(-0.0889329\pi\)
−0.104666 + 0.994507i \(0.533377\pi\)
\(212\) −5.65910 + 2.05974i −0.388669 + 0.141464i
\(213\) 1.26857 + 7.19442i 0.0869210 + 0.492954i
\(214\) 1.91622 10.8674i 0.130990 0.742883i
\(215\) 6.98545 + 2.54250i 0.476404 + 0.173397i
\(216\) −0.500000 0.866025i −0.0340207 0.0589256i
\(217\) −16.0915 + 27.8713i −1.09236 + 1.89203i
\(218\) 8.29086 6.95686i 0.561528 0.471178i
\(219\) 3.34730 2.80872i 0.226189 0.189795i
\(220\) −0.766044 + 1.32683i −0.0516467 + 0.0894547i
\(221\) 0.288171 + 0.499127i 0.0193845 + 0.0335749i
\(222\) 8.83022 + 3.21394i 0.592646 + 0.215705i
\(223\) 4.77079 27.0565i 0.319476 1.81184i −0.226471 0.974018i \(-0.572719\pi\)
0.545947 0.837820i \(-0.316170\pi\)
\(224\) −0.819078 4.64522i −0.0547269 0.310372i
\(225\) −0.939693 + 0.342020i −0.0626462 + 0.0228013i
\(226\) −9.00774 7.55839i −0.599186 0.502777i
\(227\) 0.0290958 0.00193116 0.000965579 1.00000i \(-0.499693\pi\)
0.000965579 1.00000i \(0.499693\pi\)
\(228\) −4.35844 0.0632028i −0.288645 0.00418571i
\(229\) −20.5371 −1.35713 −0.678566 0.734539i \(-0.737398\pi\)
−0.678566 + 0.734539i \(0.737398\pi\)
\(230\) −5.13429 4.30818i −0.338545 0.284073i
\(231\) −6.79086 + 2.47167i −0.446806 + 0.162624i
\(232\) −0.305407 1.73205i −0.0200510 0.113715i
\(233\) −1.14796 + 6.51038i −0.0752051 + 0.426509i 0.923838 + 0.382783i \(0.125034\pi\)
−0.999044 + 0.0437266i \(0.986077\pi\)
\(234\) 2.24510 + 0.817150i 0.146767 + 0.0534187i
\(235\) 2.72668 + 4.72275i 0.177869 + 0.308078i
\(236\) 4.72668 8.18685i 0.307681 0.532919i
\(237\) 7.38919 6.20026i 0.479979 0.402750i
\(238\) 0.871644 0.731397i 0.0565003 0.0474094i
\(239\) 7.92127 13.7200i 0.512385 0.887476i −0.487512 0.873116i \(-0.662096\pi\)
0.999897 0.0143601i \(-0.00457111\pi\)
\(240\) −0.500000 0.866025i −0.0322749 0.0559017i
\(241\) 6.24510 + 2.27303i 0.402282 + 0.146419i 0.535234 0.844704i \(-0.320223\pi\)
−0.132952 + 0.991122i \(0.542446\pi\)
\(242\) 1.50253 8.52125i 0.0965860 0.547767i
\(243\) −0.173648 0.984808i −0.0111395 0.0631754i
\(244\) −2.45336 + 0.892951i −0.157060 + 0.0571653i
\(245\) −11.6814 9.80185i −0.746297 0.626217i
\(246\) −11.9855 −0.764165
\(247\) 8.07398 6.57775i 0.513735 0.418532i
\(248\) −6.82295 −0.433258
\(249\) 7.57398 + 6.35532i 0.479981 + 0.402752i
\(250\) −0.939693 + 0.342020i −0.0594314 + 0.0216313i
\(251\) −5.03074 28.5308i −0.317538 1.80085i −0.557623 0.830094i \(-0.688286\pi\)
0.240085 0.970752i \(-0.422825\pi\)
\(252\) 0.819078 4.64522i 0.0515971 0.292621i
\(253\) −9.64930 3.51206i −0.606646 0.220801i
\(254\) −10.9474 18.9615i −0.686903 1.18975i
\(255\) 0.120615 0.208911i 0.00755319 0.0130825i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 9.98545 8.37879i 0.622875 0.522655i −0.275831 0.961206i \(-0.588953\pi\)
0.898706 + 0.438552i \(0.144508\pi\)
\(258\) −3.71688 + 6.43783i −0.231403 + 0.400802i
\(259\) 22.1621 + 38.3859i 1.37709 + 2.38518i
\(260\) 2.24510 + 0.817150i 0.139235 + 0.0506775i
\(261\) 0.305407 1.73205i 0.0189042 0.107211i
\(262\) −1.85844 10.5397i −0.114815 0.651147i
\(263\) 1.89306 0.689016i 0.116731 0.0424865i −0.282994 0.959122i \(-0.591328\pi\)
0.399725 + 0.916635i \(0.369106\pi\)
\(264\) −1.17365 0.984808i −0.0722331 0.0606107i
\(265\) −6.02229 −0.369946
\(266\) −15.5569 13.4430i −0.953855 0.824241i
\(267\) 5.05644 0.309449
\(268\) −3.16250 2.65366i −0.193181 0.162098i
\(269\) 19.5253 7.10662i 1.19048 0.433298i 0.330586 0.943776i \(-0.392754\pi\)
0.859891 + 0.510477i \(0.170531\pi\)
\(270\) −0.173648 0.984808i −0.0105679 0.0599335i
\(271\) 4.04694 22.9513i 0.245834 1.39419i −0.572713 0.819756i \(-0.694109\pi\)
0.818547 0.574439i \(-0.194780\pi\)
\(272\) 0.226682 + 0.0825054i 0.0137446 + 0.00500262i
\(273\) 5.63475 + 9.75968i 0.341031 + 0.590683i
\(274\) −0.716881 + 1.24168i −0.0433084 + 0.0750123i
\(275\) −1.17365 + 0.984808i −0.0707736 + 0.0593861i
\(276\) 5.13429 4.30818i 0.309048 0.259322i
\(277\) −10.3229 + 17.8799i −0.620246 + 1.07430i 0.369194 + 0.929352i \(0.379634\pi\)
−0.989440 + 0.144945i \(0.953700\pi\)
\(278\) 7.52734 + 13.0377i 0.451460 + 0.781952i
\(279\) −6.41147 2.33359i −0.383845 0.139708i
\(280\) 0.819078 4.64522i 0.0489493 0.277605i
\(281\) 2.75759 + 15.6391i 0.164504 + 0.932948i 0.949574 + 0.313542i \(0.101516\pi\)
−0.785070 + 0.619406i \(0.787373\pi\)
\(282\) −5.12449 + 1.86516i −0.305159 + 0.111069i
\(283\) −11.6040 9.73692i −0.689787 0.578800i 0.229061 0.973412i \(-0.426434\pi\)
−0.918848 + 0.394612i \(0.870879\pi\)
\(284\) −7.30541 −0.433496
\(285\) −4.07398 1.55007i −0.241322 0.0918180i
\(286\) 3.66044 0.216447
\(287\) −43.3075 36.3393i −2.55636 2.14504i
\(288\) 0.939693 0.342020i 0.0553719 0.0201537i
\(289\) −2.94191 16.6844i −0.173054 0.981437i
\(290\) 0.305407 1.73205i 0.0179341 0.101710i
\(291\) −5.41147 1.96962i −0.317226 0.115461i
\(292\) 2.18479 + 3.78417i 0.127855 + 0.221452i
\(293\) −13.8564 + 24.0000i −0.809498 + 1.40209i 0.103713 + 0.994607i \(0.466928\pi\)
−0.913212 + 0.407485i \(0.866406\pi\)
\(294\) 11.6814 9.80185i 0.681272 0.571655i
\(295\) 7.24170 6.07650i 0.421628 0.353788i
\(296\) −4.69846 + 8.13798i −0.273093 + 0.473010i
\(297\) −0.766044 1.32683i −0.0444504 0.0769904i
\(298\) −12.0915 4.40095i −0.700443 0.254940i
\(299\) −2.78065 + 15.7698i −0.160809 + 0.911994i
\(300\) −0.173648 0.984808i −0.0100256 0.0568579i
\(301\) −32.9495 + 11.9927i −1.89918 + 0.691245i
\(302\) 0.184793 + 0.155059i 0.0106336 + 0.00892266i
\(303\) −10.3696 −0.595717
\(304\) 0.819078 4.28125i 0.0469773 0.245547i
\(305\) −2.61081 −0.149495
\(306\) 0.184793 + 0.155059i 0.0105639 + 0.00886415i
\(307\) −3.34224 + 1.21648i −0.190752 + 0.0694280i −0.435630 0.900126i \(-0.643474\pi\)
0.244878 + 0.969554i \(0.421252\pi\)
\(308\) −1.25490 7.11689i −0.0715046 0.405523i
\(309\) 2.57011 14.5758i 0.146208 0.829189i
\(310\) −6.41147 2.33359i −0.364147 0.132539i
\(311\) 14.8452 + 25.7127i 0.841796 + 1.45803i 0.888375 + 0.459119i \(0.151835\pi\)
−0.0465786 + 0.998915i \(0.514832\pi\)
\(312\) −1.19459 + 2.06910i −0.0676305 + 0.117139i
\(313\) −21.6536 + 18.1696i −1.22394 + 1.02700i −0.225327 + 0.974283i \(0.572345\pi\)
−0.998609 + 0.0527209i \(0.983211\pi\)
\(314\) 0.190722 0.160035i 0.0107631 0.00903130i
\(315\) 2.35844 4.08494i 0.132883 0.230160i
\(316\) 4.82295 + 8.35359i 0.271312 + 0.469926i
\(317\) −25.2062 9.17431i −1.41572 0.515280i −0.482918 0.875666i \(-0.660423\pi\)
−0.932804 + 0.360385i \(0.882645\pi\)
\(318\) 1.04576 5.93080i 0.0586433 0.332583i
\(319\) −0.467911 2.65366i −0.0261980 0.148576i
\(320\) 0.939693 0.342020i 0.0525304 0.0191195i
\(321\) 8.45336 + 7.09321i 0.471821 + 0.395905i
\(322\) 31.6141 1.76179
\(323\) 0.993193 0.345268i 0.0552627 0.0192112i
\(324\) 1.00000 0.0555556
\(325\) 1.83022 + 1.53574i 0.101522 + 0.0851875i
\(326\) −5.30541 + 1.93101i −0.293839 + 0.106949i
\(327\) 1.87939 + 10.6585i 0.103930 + 0.589418i
\(328\) 2.08125 11.8034i 0.114918 0.651732i
\(329\) −24.1716 8.79774i −1.33262 0.485035i
\(330\) −0.766044 1.32683i −0.0421694 0.0730395i
\(331\) −3.66385 + 6.34597i −0.201383 + 0.348806i −0.948974 0.315353i \(-0.897877\pi\)
0.747591 + 0.664159i \(0.231210\pi\)
\(332\) −7.57398 + 6.35532i −0.415676 + 0.348794i
\(333\) −7.19846 + 6.04023i −0.394473 + 0.331002i
\(334\) 6.42649 11.1310i 0.351642 0.609062i
\(335\) −2.06418 3.57526i −0.112778 0.195337i
\(336\) 4.43242 + 1.61327i 0.241808 + 0.0880110i
\(337\) −0.0814140 + 0.461722i −0.00443491 + 0.0251516i −0.986945 0.161058i \(-0.948509\pi\)
0.982510 + 0.186210i \(0.0596204\pi\)
\(338\) 1.26621 + 7.18101i 0.0688726 + 0.390596i
\(339\) 11.0496 4.02174i 0.600134 0.218431i
\(340\) 0.184793 + 0.155059i 0.0100218 + 0.00840927i
\(341\) −10.4534 −0.566081
\(342\) 2.23396 3.74292i 0.120798 0.202394i
\(343\) 38.9094 2.10091
\(344\) −5.69459 4.77833i −0.307032 0.257630i
\(345\) 6.29813 2.29233i 0.339080 0.123415i
\(346\) 2.16503 + 12.2785i 0.116393 + 0.660096i
\(347\) 2.32770 13.2010i 0.124957 0.708668i −0.856376 0.516353i \(-0.827289\pi\)
0.981333 0.192315i \(-0.0615996\pi\)
\(348\) 1.65270 + 0.601535i 0.0885942 + 0.0322457i
\(349\) −14.5672 25.2311i −0.779763 1.35059i −0.932078 0.362257i \(-0.882006\pi\)
0.152316 0.988332i \(-0.451327\pi\)
\(350\) 2.35844 4.08494i 0.126064 0.218349i
\(351\) −1.83022 + 1.53574i −0.0976900 + 0.0819717i
\(352\) 1.17365 0.984808i 0.0625557 0.0524904i
\(353\) −0.822948 + 1.42539i −0.0438011 + 0.0758658i −0.887095 0.461587i \(-0.847280\pi\)
0.843294 + 0.537453i \(0.180613\pi\)
\(354\) 4.72668 + 8.18685i 0.251220 + 0.435126i
\(355\) −6.86484 2.49860i −0.364348 0.132612i
\(356\) −0.878041 + 4.97962i −0.0465361 + 0.263919i
\(357\) 0.197586 + 1.12056i 0.0104573 + 0.0593066i
\(358\) 10.4410 3.80023i 0.551826 0.200848i
\(359\) −23.7743 19.9490i −1.25476 1.05287i −0.996220 0.0868648i \(-0.972315\pi\)
−0.258537 0.966001i \(-0.583240\pi\)
\(360\) 1.00000 0.0527046
\(361\) −9.01889 16.7230i −0.474678 0.880159i
\(362\) −8.86753 −0.466067
\(363\) 6.62836 + 5.56185i 0.347898 + 0.291921i
\(364\) −10.5899 + 3.85440i −0.555060 + 0.202025i
\(365\) 0.758770 + 4.30320i 0.0397159 + 0.225240i
\(366\) 0.453363 2.57115i 0.0236977 0.134396i
\(367\) 18.9329 + 6.89101i 0.988289 + 0.359708i 0.785057 0.619423i \(-0.212633\pi\)
0.203231 + 0.979131i \(0.434856\pi\)
\(368\) 3.35117 + 5.80439i 0.174692 + 0.302575i
\(369\) 5.99273 10.3797i 0.311969 0.540346i
\(370\) −7.19846 + 6.04023i −0.374230 + 0.314016i
\(371\) 21.7606 18.2593i 1.12975 0.947975i
\(372\) 3.41147 5.90885i 0.176877 0.306359i
\(373\) 9.56283 + 16.5633i 0.495145 + 0.857616i 0.999984 0.00559731i \(-0.00178169\pi\)
−0.504840 + 0.863213i \(0.668448\pi\)
\(374\) 0.347296 + 0.126406i 0.0179583 + 0.00653627i
\(375\) 0.173648 0.984808i 0.00896715 0.0508553i
\(376\) −0.946967 5.37051i −0.0488361 0.276963i
\(377\) −3.94862 + 1.43718i −0.203364 + 0.0740185i
\(378\) 3.61334 + 3.03195i 0.185850 + 0.155947i
\(379\) 3.66550 0.188284 0.0941420 0.995559i \(-0.469989\pi\)
0.0941420 + 0.995559i \(0.469989\pi\)
\(380\) 2.23396 3.74292i 0.114600 0.192008i
\(381\) 21.8949 1.12171
\(382\) −9.17024 7.69475i −0.469191 0.393698i
\(383\) −29.6771 + 10.8016i −1.51643 + 0.551935i −0.960253 0.279129i \(-0.909954\pi\)
−0.556176 + 0.831065i \(0.687732\pi\)
\(384\) 0.173648 + 0.984808i 0.00886145 + 0.0502558i
\(385\) 1.25490 7.11689i 0.0639556 0.362710i
\(386\) −8.21213 2.98897i −0.417987 0.152135i
\(387\) −3.71688 6.43783i −0.188940 0.327253i
\(388\) 2.87939 4.98724i 0.146179 0.253189i
\(389\) −4.07604 + 3.42020i −0.206663 + 0.173411i −0.740245 0.672338i \(-0.765290\pi\)
0.533581 + 0.845749i \(0.320846\pi\)
\(390\) −1.83022 + 1.53574i −0.0926769 + 0.0777652i
\(391\) −0.808400 + 1.40019i −0.0408826 + 0.0708107i
\(392\) 7.62449 + 13.2060i 0.385095 + 0.667004i
\(393\) 10.0569 + 3.66041i 0.507304 + 0.184643i
\(394\) −3.25830 + 18.4788i −0.164151 + 0.930946i
\(395\) 1.67499 + 9.49935i 0.0842780 + 0.477964i
\(396\) 1.43969 0.524005i 0.0723473 0.0263323i
\(397\) 1.37030 + 1.14982i 0.0687734 + 0.0577077i 0.676526 0.736418i \(-0.263484\pi\)
−0.607753 + 0.794126i \(0.707929\pi\)
\(398\) 6.65539 0.333605
\(399\) 19.4204 6.75119i 0.972236 0.337982i
\(400\) 1.00000 0.0500000
\(401\) 8.39961 + 7.04811i 0.419457 + 0.351966i 0.827956 0.560792i \(-0.189503\pi\)
−0.408500 + 0.912758i \(0.633948\pi\)
\(402\) 3.87939 1.41198i 0.193486 0.0704232i
\(403\) 2.83069 + 16.0536i 0.141007 + 0.799689i
\(404\) 1.80066 10.2120i 0.0895862 0.508068i
\(405\) 0.939693 + 0.342020i 0.0466937 + 0.0169951i
\(406\) 4.14796 + 7.18447i 0.205860 + 0.356559i
\(407\) −7.19846 + 12.4681i −0.356815 + 0.618021i
\(408\) −0.184793 + 0.155059i −0.00914859 + 0.00767658i
\(409\) −7.45858 + 6.25849i −0.368803 + 0.309462i −0.808288 0.588788i \(-0.799605\pi\)
0.439485 + 0.898250i \(0.355161\pi\)
\(410\) 5.99273 10.3797i 0.295960 0.512617i
\(411\) −0.716881 1.24168i −0.0353612 0.0612473i
\(412\) 13.9081 + 5.06212i 0.685201 + 0.249393i
\(413\) −7.74304 + 43.9130i −0.381010 + 2.16082i
\(414\) 1.16385 + 6.60051i 0.0572000 + 0.324397i
\(415\) −9.29086 + 3.38160i −0.456070 + 0.165996i
\(416\) −1.83022 1.53574i −0.0897340 0.0752958i
\(417\) −15.0547 −0.737231
\(418\) 1.25490 6.55926i 0.0613792 0.320824i
\(419\) 17.3824 0.849185 0.424592 0.905385i \(-0.360417\pi\)
0.424592 + 0.905385i \(0.360417\pi\)
\(420\) 3.61334 + 3.03195i 0.176313 + 0.147944i
\(421\) 36.5749 13.3122i 1.78255 0.648796i 0.782908 0.622138i \(-0.213736\pi\)
0.999645 0.0266578i \(-0.00848644\pi\)
\(422\) −2.82042 15.9954i −0.137296 0.778644i
\(423\) 0.946967 5.37051i 0.0460431 0.261123i
\(424\) 5.65910 + 2.05974i 0.274830 + 0.100030i
\(425\) 0.120615 + 0.208911i 0.00585068 + 0.0101337i
\(426\) 3.65270 6.32667i 0.176974 0.306528i
\(427\) 9.43376 7.91587i 0.456532 0.383076i
\(428\) −8.45336 + 7.09321i −0.408609 + 0.342863i
\(429\) −1.83022 + 3.17004i −0.0883640 + 0.153051i
\(430\) −3.71688 6.43783i −0.179244 0.310460i
\(431\) 12.2344 + 4.45297i 0.589311 + 0.214492i 0.619427 0.785055i \(-0.287365\pi\)
−0.0301151 + 0.999546i \(0.509587\pi\)
\(432\) −0.173648 + 0.984808i −0.00835465 + 0.0473816i
\(433\) 0.361844 + 2.05212i 0.0173891 + 0.0986186i 0.992267 0.124121i \(-0.0396111\pi\)
−0.974878 + 0.222740i \(0.928500\pi\)
\(434\) 30.2422 11.0072i 1.45167 0.528365i
\(435\) 1.34730 + 1.13052i 0.0645979 + 0.0542041i
\(436\) −10.8229 −0.518325
\(437\) 27.3052 + 10.3891i 1.30618 + 0.496976i
\(438\) −4.36959 −0.208787
\(439\) 10.8229 + 9.08153i 0.516551 + 0.433438i 0.863427 0.504473i \(-0.168313\pi\)
−0.346876 + 0.937911i \(0.612758\pi\)
\(440\) 1.43969 0.524005i 0.0686347 0.0249810i
\(441\) 2.64796 + 15.0173i 0.126093 + 0.715110i
\(442\) 0.100081 0.567586i 0.00476036 0.0269973i
\(443\) −13.5398 4.92809i −0.643297 0.234141i −0.000288293 1.00000i \(-0.500092\pi\)
−0.643008 + 0.765859i \(0.722314\pi\)
\(444\) −4.69846 8.13798i −0.222979 0.386211i
\(445\) −2.52822 + 4.37900i −0.119849 + 0.207585i
\(446\) −21.0462 + 17.6599i −0.996568 + 0.836220i
\(447\) 9.85710 8.27109i 0.466225 0.391209i
\(448\) −2.35844 + 4.08494i −0.111426 + 0.192995i
\(449\) −3.75150 6.49778i −0.177044 0.306649i 0.763823 0.645426i \(-0.223320\pi\)
−0.940867 + 0.338777i \(0.889987\pi\)
\(450\) 0.939693 + 0.342020i 0.0442975 + 0.0161230i
\(451\) 3.18866 18.0838i 0.150148 0.851533i
\(452\) 2.04189 + 11.5801i 0.0960424 + 0.544683i
\(453\) −0.226682 + 0.0825054i −0.0106504 + 0.00387644i
\(454\) −0.0222887 0.0187024i −0.00104606 0.000877749i
\(455\) −11.2695 −0.528323
\(456\) 3.29813 + 2.84997i 0.154449 + 0.133462i
\(457\) −12.0101 −0.561809 −0.280905 0.959736i \(-0.590634\pi\)
−0.280905 + 0.959736i \(0.590634\pi\)
\(458\) 15.7324 + 13.2010i 0.735125 + 0.616843i
\(459\) −0.226682 + 0.0825054i −0.0105806 + 0.00385102i
\(460\) 1.16385 + 6.60051i 0.0542647 + 0.307750i
\(461\) 5.95636 33.7802i 0.277415 1.57330i −0.453769 0.891119i \(-0.649921\pi\)
0.731184 0.682180i \(-0.238968\pi\)
\(462\) 6.79086 + 2.47167i 0.315939 + 0.114993i
\(463\) 5.29813 + 9.17664i 0.246225 + 0.426474i 0.962475 0.271369i \(-0.0874764\pi\)
−0.716250 + 0.697844i \(0.754143\pi\)
\(464\) −0.879385 + 1.52314i −0.0408244 + 0.0707100i
\(465\) 5.22668 4.38571i 0.242382 0.203382i
\(466\) 5.06418 4.24935i 0.234594 0.196847i
\(467\) −7.77332 + 13.4638i −0.359706 + 0.623030i −0.987912 0.155018i \(-0.950456\pi\)
0.628205 + 0.778048i \(0.283790\pi\)
\(468\) −1.19459 2.06910i −0.0552201 0.0956440i
\(469\) 18.2986 + 6.66015i 0.844951 + 0.307537i
\(470\) 0.946967 5.37051i 0.0436803 0.247723i
\(471\) 0.0432332 + 0.245188i 0.00199208 + 0.0112977i
\(472\) −8.88326 + 3.23324i −0.408885 + 0.148822i
\(473\) −8.72462 7.32083i −0.401159 0.336612i
\(474\) −9.64590 −0.443051
\(475\) 3.37939 2.75314i 0.155057 0.126323i
\(476\) −1.13785 −0.0521533
\(477\) 4.61334 + 3.87105i 0.211230 + 0.177243i
\(478\) −14.8871 + 5.41847i −0.680921 + 0.247835i
\(479\) −3.12567 17.7265i −0.142815 0.809946i −0.969095 0.246687i \(-0.920658\pi\)
0.826280 0.563260i \(-0.190453\pi\)
\(480\) −0.173648 + 0.984808i −0.00792592 + 0.0449501i
\(481\) 21.0970 + 7.67869i 0.961942 + 0.350118i
\(482\) −3.32295 5.75552i −0.151356 0.262157i
\(483\) −15.8071 + 27.3786i −0.719246 + 1.24577i
\(484\) −6.62836 + 5.56185i −0.301289 + 0.252811i
\(485\) 4.41147 3.70167i 0.200315 0.168084i
\(486\) −0.500000 + 0.866025i −0.0226805 + 0.0392837i
\(487\) −2.31386 4.00773i −0.104851 0.181608i 0.808826 0.588048i \(-0.200103\pi\)
−0.913677 + 0.406440i \(0.866770\pi\)
\(488\) 2.45336 + 0.892951i 0.111059 + 0.0404220i
\(489\) 0.980400 5.56012i 0.0443352 0.251437i
\(490\) 2.64796 + 15.0173i 0.119622 + 0.678413i
\(491\) 32.6095 11.8689i 1.47165 0.535636i 0.523100 0.852271i \(-0.324775\pi\)
0.948547 + 0.316635i \(0.102553\pi\)
\(492\) 9.18139 + 7.70410i 0.413929 + 0.347328i
\(493\) −0.424267 −0.0191080
\(494\) −10.4131 0.151003i −0.468509 0.00679395i
\(495\) 1.53209 0.0688623
\(496\) 5.22668 + 4.38571i 0.234685 + 0.196924i
\(497\) 32.3806 11.7856i 1.45247 0.528656i
\(498\) −1.71688 9.73692i −0.0769353 0.436322i
\(499\) −4.96105 + 28.1355i −0.222087 + 1.25952i 0.646089 + 0.763262i \(0.276403\pi\)
−0.868176 + 0.496256i \(0.834708\pi\)
\(500\) 0.939693 + 0.342020i 0.0420243 + 0.0152956i
\(501\) 6.42649 + 11.1310i 0.287114 + 0.497297i
\(502\) −14.4855 + 25.0895i −0.646517 + 1.11980i
\(503\) 6.14724 5.15815i 0.274092 0.229990i −0.495372 0.868681i \(-0.664968\pi\)
0.769464 + 0.638691i \(0.220524\pi\)
\(504\) −3.61334 + 3.03195i −0.160951 + 0.135054i
\(505\) 5.18479 8.98032i 0.230720 0.399619i
\(506\) 5.13429 + 8.89284i 0.228247 + 0.395335i
\(507\) −6.85204 2.49394i −0.304310 0.110760i
\(508\) −3.80200 + 21.5622i −0.168687 + 0.956669i
\(509\) 1.18748 + 6.73454i 0.0526342 + 0.298503i 0.999749 0.0223908i \(-0.00712780\pi\)
−0.947115 + 0.320894i \(0.896017\pi\)
\(510\) −0.226682 + 0.0825054i −0.0100376 + 0.00365340i
\(511\) −15.7888 13.2484i −0.698455 0.586074i
\(512\) −1.00000 −0.0441942
\(513\) 2.12449 + 3.80612i 0.0937983 + 0.168044i
\(514\) −13.0351 −0.574953
\(515\) 11.3380 + 9.51368i 0.499610 + 0.419223i
\(516\) 6.98545 2.54250i 0.307517 0.111927i
\(517\) −1.45084 8.22811i −0.0638077 0.361872i
\(518\) 7.69681 43.6508i 0.338179 1.91791i
\(519\) −11.7160 4.26428i −0.514275 0.187181i
\(520\) −1.19459 2.06910i −0.0523864 0.0907358i
\(521\) −0.147956 + 0.256267i −0.00648207 + 0.0112273i −0.869248 0.494376i \(-0.835397\pi\)
0.862766 + 0.505603i \(0.168730\pi\)
\(522\) −1.34730 + 1.13052i −0.0589696 + 0.0494813i
\(523\) 21.3628 17.9255i 0.934129 0.783827i −0.0424250 0.999100i \(-0.513508\pi\)
0.976554 + 0.215272i \(0.0690639\pi\)
\(524\) −5.35117 + 9.26849i −0.233767 + 0.404896i
\(525\) 2.35844 + 4.08494i 0.102931 + 0.178281i
\(526\) −1.89306 0.689016i −0.0825412 0.0300425i
\(527\) −0.285807 + 1.62089i −0.0124499 + 0.0706071i
\(528\) 0.266044 + 1.50881i 0.0115781 + 0.0656627i
\(529\) −20.5993 + 7.49752i −0.895620 + 0.325979i
\(530\) 4.61334 + 3.87105i 0.200391 + 0.168148i
\(531\) −9.45336 −0.410241
\(532\) 3.27631 + 20.2977i 0.142046 + 0.880016i
\(533\) −28.6355 −1.24034
\(534\) −3.87346 3.25022i −0.167621 0.140651i
\(535\) −10.3696 + 3.77422i −0.448316 + 0.163174i
\(536\) 0.716881 + 4.06564i 0.0309646 + 0.175609i
\(537\) −1.92943 + 10.9423i −0.0832609 + 0.472196i
\(538\) −19.5253 7.10662i −0.841795 0.306388i
\(539\) 11.6814 + 20.2328i 0.503153 + 0.871487i
\(540\) −0.500000 + 0.866025i −0.0215166 + 0.0372678i
\(541\) 12.9813 10.8926i 0.558111 0.468311i −0.319565 0.947564i \(-0.603537\pi\)
0.877677 + 0.479253i \(0.159092\pi\)
\(542\) −17.8530 + 14.9804i −0.766851 + 0.643464i
\(543\) 4.43376 7.67950i 0.190271 0.329559i
\(544\) −0.120615 0.208911i −0.00517132 0.00895698i
\(545\) −10.1702 3.70167i −0.435645 0.158562i
\(546\) 1.95693 11.0983i 0.0837488 0.474963i
\(547\) −5.22399 29.6267i −0.223362 1.26675i −0.865792 0.500404i \(-0.833185\pi\)
0.642430 0.766344i \(-0.277926\pi\)
\(548\) 1.34730 0.490376i 0.0575536 0.0209478i
\(549\) 2.00000 + 1.67820i 0.0853579 + 0.0716238i
\(550\) 1.53209 0.0653285
\(551\) 1.22163 + 7.56834i 0.0520432 + 0.322422i
\(552\) −6.70233 −0.285270
\(553\) −34.8539 29.2459i −1.48214 1.24366i
\(554\) 19.4008 7.06131i 0.824261 0.300006i
\(555\) −1.63176 9.25417i −0.0692643 0.392817i
\(556\) 2.61422 14.8260i 0.110868 0.628761i
\(557\) 24.1570 + 8.79244i 1.02357 + 0.372548i 0.798628 0.601825i \(-0.205560\pi\)
0.224939 + 0.974373i \(0.427782\pi\)
\(558\) 3.41147 + 5.90885i 0.144419 + 0.250141i
\(559\) −8.88032 + 15.3812i −0.375597 + 0.650554i
\(560\) −3.61334 + 3.03195i −0.152692 + 0.128123i
\(561\) −0.283119 + 0.237565i −0.0119533 + 0.0100300i
\(562\) 7.94016 13.7528i 0.334935 0.580125i
\(563\) −6.56717 11.3747i −0.276773 0.479385i 0.693808 0.720160i \(-0.255932\pi\)
−0.970581 + 0.240775i \(0.922598\pi\)
\(564\) 5.12449 + 1.86516i 0.215780 + 0.0785374i
\(565\) −2.04189 + 11.5801i −0.0859029 + 0.487180i
\(566\) 2.63041 + 14.9178i 0.110565 + 0.627043i
\(567\) −4.43242 + 1.61327i −0.186144 + 0.0677509i
\(568\) 5.59627 + 4.69583i 0.234814 + 0.197032i
\(569\) 14.4020 0.603762 0.301881 0.953346i \(-0.402385\pi\)
0.301881 + 0.953346i \(0.402385\pi\)
\(570\) 2.12449 + 3.80612i 0.0889849 + 0.159421i
\(571\) 12.5722 0.526131 0.263066 0.964778i \(-0.415266\pi\)
0.263066 + 0.964778i \(0.415266\pi\)
\(572\) −2.80406 2.35289i −0.117244 0.0983792i
\(573\) 11.2490 4.09429i 0.469932 0.171041i
\(574\) 9.81702 + 55.6751i 0.409754 + 2.32383i
\(575\) −1.16385 + 6.60051i −0.0485358 + 0.275260i
\(576\) −0.939693 0.342020i −0.0391539 0.0142508i
\(577\) −13.9067 24.0872i −0.578945 1.00276i −0.995601 0.0936973i \(-0.970131\pi\)
0.416656 0.909064i \(-0.363202\pi\)
\(578\) −8.47090 + 14.6720i −0.352343 + 0.610276i
\(579\) 6.69459 5.61743i 0.278218 0.233452i
\(580\) −1.34730 + 1.13052i −0.0559434 + 0.0469421i
\(581\) 23.3182 40.3883i 0.967402 1.67559i
\(582\) 2.87939 + 4.98724i 0.119354 + 0.206728i
\(583\) 8.67024 + 3.15571i 0.359085 + 0.130696i
\(584\) 0.758770 4.30320i 0.0313981 0.178068i
\(585\) −0.414878 2.35289i −0.0171531 0.0972800i
\(586\) 26.0415 9.47832i 1.07576 0.391546i
\(587\) 10.4875 + 8.80007i 0.432866 + 0.363218i 0.833032 0.553225i \(-0.186603\pi\)
−0.400166 + 0.916443i \(0.631047\pi\)
\(588\) −15.2490 −0.628857
\(589\) 29.7374 + 0.431229i 1.22531 + 0.0177685i
\(590\) −9.45336 −0.389189
\(591\) −14.3739 12.0612i −0.591264 0.496130i
\(592\) 8.83022 3.21394i 0.362920 0.132092i
\(593\) −4.68180 26.5518i −0.192258 1.09035i −0.916269 0.400563i \(-0.868815\pi\)
0.724011 0.689789i \(-0.242297\pi\)
\(594\) −0.266044 + 1.50881i −0.0109159 + 0.0619073i
\(595\) −1.06923 0.389168i −0.0438342 0.0159543i
\(596\) 6.43376 + 11.1436i 0.263537 + 0.456460i
\(597\) −3.32770 + 5.76374i −0.136194 + 0.235894i
\(598\) 12.2668 10.2930i 0.501625 0.420913i
\(599\) −19.0496 + 15.9845i −0.778347 + 0.653110i −0.942832 0.333269i \(-0.891848\pi\)
0.164485 + 0.986380i \(0.447404\pi\)
\(600\) −0.500000 + 0.866025i −0.0204124 + 0.0353553i
\(601\) 17.1356 + 29.6798i 0.698977 + 1.21066i 0.968822 + 0.247760i \(0.0796943\pi\)
−0.269845 + 0.962904i \(0.586972\pi\)
\(602\) 32.9495 + 11.9927i 1.34292 + 0.488784i
\(603\) −0.716881 + 4.06564i −0.0291937 + 0.165566i
\(604\) −0.0418891 0.237565i −0.00170444 0.00966637i
\(605\) −8.13088 + 2.95940i −0.330567 + 0.120317i
\(606\) 7.94356 + 6.66544i 0.322685 + 0.270765i
\(607\) −42.3492 −1.71890 −0.859450 0.511220i \(-0.829194\pi\)
−0.859450 + 0.511220i \(0.829194\pi\)
\(608\) −3.37939 + 2.75314i −0.137052 + 0.111654i
\(609\) −8.29591 −0.336167
\(610\) 2.00000 + 1.67820i 0.0809776 + 0.0679483i
\(611\) −12.2433 + 4.45621i −0.495313 + 0.180279i
\(612\) −0.0418891 0.237565i −0.00169327 0.00960298i
\(613\) −2.02987 + 11.5119i −0.0819856 + 0.464963i 0.915981 + 0.401222i \(0.131414\pi\)
−0.997966 + 0.0637414i \(0.979697\pi\)
\(614\) 3.34224 + 1.21648i 0.134882 + 0.0490930i
\(615\) 5.99273 + 10.3797i 0.241650 + 0.418550i
\(616\) −3.61334 + 6.25849i −0.145586 + 0.252162i
\(617\) 19.0155 15.9559i 0.765534 0.642360i −0.174027 0.984741i \(-0.555678\pi\)
0.939561 + 0.342381i \(0.111233\pi\)
\(618\) −11.3380 + 9.51368i −0.456080 + 0.382696i
\(619\) 2.05572 3.56061i 0.0826264 0.143113i −0.821751 0.569847i \(-0.807003\pi\)
0.904377 + 0.426734i \(0.140336\pi\)
\(620\) 3.41147 + 5.90885i 0.137008 + 0.237305i
\(621\) −6.29813 2.29233i −0.252735 0.0919882i
\(622\) 5.15570 29.2394i 0.206725 1.17239i
\(623\) −4.14162 23.4883i −0.165930 0.941038i
\(624\) 2.24510 0.817150i 0.0898759 0.0327122i
\(625\) 0.766044 + 0.642788i 0.0306418 + 0.0257115i
\(626\) 28.2668 1.12977
\(627\) 5.05303 + 4.36640i 0.201799 + 0.174377i
\(628\) −0.248970 −0.00993500
\(629\) 1.73648 + 1.45708i 0.0692381 + 0.0580976i
\(630\) −4.43242 + 1.61327i −0.176592 + 0.0642742i
\(631\) −8.61587 48.8630i −0.342992 1.94521i −0.326060 0.945349i \(-0.605721\pi\)
−0.0169322 0.999857i \(-0.505390\pi\)
\(632\) 1.67499 9.49935i 0.0666276 0.377864i
\(633\) 15.2626 + 5.55515i 0.606636 + 0.220797i
\(634\) 13.4119 + 23.2302i 0.532656 + 0.922588i
\(635\) −10.9474 + 18.9615i −0.434436 + 0.752465i
\(636\) −4.61334 + 3.87105i −0.182931 + 0.153497i
\(637\) 27.9090 23.4184i 1.10580 0.927872i
\(638\) −1.34730 + 2.33359i −0.0533400 + 0.0923875i
\(639\) 3.65270 + 6.32667i 0.144499 + 0.250279i
\(640\) −0.939693 0.342020i −0.0371446 0.0135195i
\(641\) 5.16179 29.2740i 0.203878 1.15625i −0.695317 0.718704i \(-0.744736\pi\)
0.899195 0.437548i \(-0.144153\pi\)
\(642\) −1.91622 10.8674i −0.0756272 0.428903i
\(643\) −46.0506 + 16.7610i −1.81606 + 0.660991i −0.819991 + 0.572377i \(0.806022\pi\)
−0.996066 + 0.0886141i \(0.971756\pi\)
\(644\) −24.2178 20.3212i −0.954316 0.800766i
\(645\) 7.43376 0.292704
\(646\) −0.982764 0.373922i −0.0386663 0.0147117i
\(647\) −42.9590 −1.68889 −0.844447 0.535639i \(-0.820071\pi\)
−0.844447 + 0.535639i \(0.820071\pi\)
\(648\) −0.766044 0.642788i −0.0300931 0.0252511i
\(649\) −13.6099 + 4.95361i −0.534237 + 0.194446i
\(650\) −0.414878 2.35289i −0.0162728 0.0922879i
\(651\) −5.58853 + 31.6941i −0.219032 + 1.24219i
\(652\) 5.30541 + 1.93101i 0.207776 + 0.0756242i
\(653\) 5.12402 + 8.87506i 0.200518 + 0.347308i 0.948696 0.316191i \(-0.102404\pi\)
−0.748177 + 0.663499i \(0.769071\pi\)
\(654\) 5.41147 9.37295i 0.211605 0.366511i
\(655\) −8.19846 + 6.87933i −0.320340 + 0.268798i
\(656\) −9.18139 + 7.70410i −0.358473 + 0.300795i
\(657\) 2.18479 3.78417i 0.0852369 0.147635i
\(658\) 12.8614 + 22.2767i 0.501391 + 0.868434i
\(659\) 10.9572 + 3.98811i 0.426833 + 0.155355i 0.546499 0.837460i \(-0.315960\pi\)
−0.119666 + 0.992814i \(0.538182\pi\)
\(660\) −0.266044 + 1.50881i −0.0103558 + 0.0587305i
\(661\) −6.39693 36.2788i −0.248812 1.41108i −0.811471 0.584392i \(-0.801333\pi\)
0.562660 0.826689i \(-0.309778\pi\)
\(662\) 6.88578 2.50622i 0.267624 0.0974070i
\(663\) 0.441504 + 0.370466i 0.0171466 + 0.0143877i
\(664\) 9.88713 0.383695
\(665\) −3.86349 + 20.1942i −0.149820 + 0.783096i
\(666\) 9.39693 0.364123
\(667\) −9.03003 7.57709i −0.349644 0.293386i
\(668\) −12.0778 + 4.39598i −0.467306 + 0.170085i
\(669\) −4.77079 27.0565i −0.184449 1.04606i
\(670\) −0.716881 + 4.06564i −0.0276955 + 0.157069i
\(671\) 3.75877 + 1.36808i 0.145106 + 0.0528142i
\(672\) −2.35844 4.08494i −0.0909788 0.157580i
\(673\) 5.39187 9.33900i 0.207841 0.359992i −0.743193 0.669077i \(-0.766690\pi\)
0.951034 + 0.309085i \(0.100023\pi\)
\(674\) 0.359156 0.301368i 0.0138342 0.0116082i
\(675\) −0.766044 + 0.642788i −0.0294851 + 0.0247409i
\(676\) 3.64590 6.31488i 0.140227 0.242880i
\(677\) 6.28699 + 10.8894i 0.241629 + 0.418513i 0.961178 0.275928i \(-0.0889851\pi\)
−0.719550 + 0.694441i \(0.755652\pi\)
\(678\) −11.0496 4.02174i −0.424358 0.154454i
\(679\) −4.71688 + 26.7508i −0.181017 + 1.02660i
\(680\) −0.0418891 0.237565i −0.00160637 0.00911019i
\(681\) 0.0273411 0.00995136i 0.00104771 0.000381337i
\(682\) 8.00774 + 6.71929i 0.306632 + 0.257295i
\(683\) −14.5217 −0.555656 −0.277828 0.960631i \(-0.589615\pi\)
−0.277828 + 0.960631i \(0.589615\pi\)
\(684\) −4.11721 + 1.43128i −0.157426 + 0.0547265i
\(685\) 1.43376 0.0547813
\(686\) −29.8063 25.0105i −1.13801 0.954905i
\(687\) −19.2986 + 7.02412i −0.736288 + 0.267987i
\(688\) 1.29086 + 7.32083i 0.0492136 + 0.279104i
\(689\) 2.49851 14.1698i 0.0951858 0.539825i
\(690\) −6.29813 2.29233i −0.239766 0.0872676i
\(691\) 17.4085 + 30.1525i 0.662252 + 1.14705i 0.980023 + 0.198886i \(0.0637325\pi\)
−0.317771 + 0.948168i \(0.602934\pi\)
\(692\) 6.23396 10.7975i 0.236979 0.410460i
\(693\) −5.53596 + 4.64522i −0.210294 + 0.176457i
\(694\) −10.2686 + 8.61635i −0.389790 + 0.327072i
\(695\) 7.52734 13.0377i 0.285528 0.494550i
\(696\) −0.879385 1.52314i −0.0333330 0.0577345i
\(697\) −2.71688 0.988864i −0.102909 0.0374559i
\(698\) −5.05913 + 28.6917i −0.191491 + 1.08600i
\(699\) 1.14796 + 6.51038i 0.0434197 + 0.246245i
\(700\) −4.43242 + 1.61327i −0.167530 + 0.0609758i
\(701\) 16.7365 + 14.0436i 0.632128 + 0.530419i 0.901589 0.432593i \(-0.142401\pi\)
−0.269461 + 0.963011i \(0.586846\pi\)
\(702\) 2.38919 0.0901740
\(703\) 20.9923 35.1719i 0.791740 1.32653i
\(704\) −1.53209 −0.0577428
\(705\) 4.17752 + 3.50535i 0.157334 + 0.132019i
\(706\) 1.54664 0.562930i 0.0582084 0.0211861i
\(707\) 8.49350 + 48.1690i 0.319431 + 1.81158i
\(708\) 1.64156 9.30975i 0.0616936 0.349882i
\(709\) −3.35679 1.22177i −0.126067 0.0458846i 0.278216 0.960518i \(-0.410257\pi\)
−0.404283 + 0.914634i \(0.632479\pi\)
\(710\) 3.65270 + 6.32667i 0.137084 + 0.237436i
\(711\) 4.82295 8.35359i 0.180875 0.313284i
\(712\) 3.87346 3.25022i 0.145164 0.121807i
\(713\) −35.0310 + 29.3945i −1.31192 + 1.10083i
\(714\) 0.568926 0.985408i 0.0212915 0.0368780i
\(715\) −1.83022 3.17004i −0.0684464 0.118553i
\(716\) −10.4410 3.80023i −0.390200 0.142021i
\(717\) 2.75103 15.6019i 0.102739 0.582662i
\(718\) 5.38919 + 30.5636i 0.201123 + 1.14062i
\(719\) −6.59627 + 2.40084i −0.245999 + 0.0895364i −0.462077 0.886840i \(-0.652896\pi\)
0.216078 + 0.976376i \(0.430673\pi\)
\(720\) −0.766044 0.642788i −0.0285488 0.0239553i
\(721\) −69.8130 −2.59997
\(722\) −3.84049 + 18.6078i −0.142928 + 0.692511i
\(723\) 6.64590 0.247164
\(724\) 6.79292 + 5.69994i 0.252457 + 0.211836i
\(725\) −1.65270 + 0.601535i −0.0613799 + 0.0223404i
\(726\) −1.50253 8.52125i −0.0557640 0.316253i
\(727\) 6.85204 38.8599i 0.254128 1.44123i −0.544172 0.838974i \(-0.683156\pi\)
0.798300 0.602259i \(-0.205733\pi\)
\(728\) 10.5899 + 3.85440i 0.392487 + 0.142853i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) 2.18479 3.78417i 0.0808628 0.140058i
\(731\) −1.37370 + 1.15267i −0.0508083 + 0.0426332i
\(732\) −2.00000 + 1.67820i −0.0739221 + 0.0620280i
\(733\) −8.73989 + 15.1379i −0.322815 + 0.559132i −0.981068 0.193665i \(-0.937963\pi\)
0.658253 + 0.752797i \(0.271296\pi\)
\(734\) −10.0740 17.4486i −0.371837 0.644041i
\(735\) −14.3293 5.21546i −0.528546 0.192375i
\(736\) 1.16385 6.60051i 0.0429000 0.243298i
\(737\) 1.09833 + 6.22892i 0.0404574 + 0.229445i
\(738\) −11.2626 + 4.09927i −0.414584 + 0.150896i
\(739\) −4.17886 3.50648i −0.153722 0.128988i 0.562683 0.826673i \(-0.309769\pi\)
−0.716405 + 0.697685i \(0.754214\pi\)
\(740\) 9.39693 0.345438
\(741\) 5.33733 8.94253i 0.196072 0.328512i
\(742\) −28.4064 −1.04283
\(743\) −11.4440 9.60268i −0.419841 0.352288i 0.408262 0.912865i \(-0.366135\pi\)
−0.828103 + 0.560577i \(0.810580\pi\)
\(744\) −6.41147 + 2.33359i −0.235056 + 0.0855534i
\(745\) 2.23442 + 12.6720i 0.0818629 + 0.464268i
\(746\) 3.32114 18.8351i 0.121595 0.689602i
\(747\) 9.29086 + 3.38160i 0.339935 + 0.123726i
\(748\) −0.184793 0.320070i −0.00675668 0.0117029i
\(749\) 26.0256 45.0776i 0.950954 1.64710i
\(750\) −0.766044 + 0.642788i −0.0279720 + 0.0234713i
\(751\) −1.25671 + 1.05451i −0.0458580 + 0.0384795i −0.665429 0.746461i \(-0.731751\pi\)
0.619571 + 0.784941i \(0.287307\pi\)
\(752\) −2.72668 + 4.72275i −0.0994318 + 0.172221i
\(753\) −14.4855 25.0895i −0.527879 0.914314i
\(754\) 3.94862 + 1.43718i 0.143800 + 0.0523390i
\(755\) 0.0418891 0.237565i 0.00152450 0.00864586i
\(756\) −0.819078 4.64522i −0.0297896 0.168945i
\(757\) 7.14203 2.59948i 0.259581 0.0944799i −0.208951 0.977926i \(-0.567005\pi\)
0.468533 + 0.883446i \(0.344783\pi\)
\(758\) −2.80793 2.35614i −0.101989 0.0855787i
\(759\) −10.2686 −0.372726
\(760\) −4.11721 + 1.43128i −0.149347 + 0.0519181i
\(761\) −12.0145 −0.435527 −0.217764 0.976002i \(-0.569876\pi\)
−0.217764 + 0.976002i \(0.569876\pi\)
\(762\) −16.7724 14.0737i −0.607601 0.509838i
\(763\) 47.9718 17.4603i 1.73670 0.632106i
\(764\) 2.07873 + 11.7890i 0.0752057 + 0.426512i
\(765\) 0.0418891 0.237565i 0.00151450 0.00858917i
\(766\) 29.6771 + 10.8016i 1.07228 + 0.390277i
\(767\) 11.2929 + 19.5599i 0.407764 + 0.706267i
\(768\) 0.500000 0.866025i 0.0180422 0.0312500i
\(769\) −18.7815 + 15.7596i −0.677279 + 0.568305i −0.915210 0.402977i \(-0.867975\pi\)
0.237931 + 0.971282i \(0.423531\pi\)
\(770\) −5.53596 + 4.64522i −0.199502 + 0.167402i
\(771\) 6.51754 11.2887i 0.234724 0.406553i
\(772\) 4.36959 + 7.56834i 0.157265 + 0.272391i