Properties

Label 731.2.e.a.307.1
Level 731
Weight 2
Character 731.307
Analytic conductor 5.837
Analytic rank 0
Dimension 58
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(58\)
Relative dimension: \(29\) over \(\Q(\zeta_{3})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 307.1
Character \(\chi\) = 731.307
Dual form 731.2.e.a.681.1

$q$-expansion

\(f(q)\) \(=\) \(q-2.82259 q^{2} +(0.178900 - 0.309865i) q^{3} +5.96703 q^{4} +(-1.59268 + 2.75860i) q^{5} +(-0.504963 + 0.874622i) q^{6} +(1.57025 + 2.71975i) q^{7} -11.1973 q^{8} +(1.43599 + 2.48721i) q^{9} +O(q^{10})\) \(q-2.82259 q^{2} +(0.178900 - 0.309865i) q^{3} +5.96703 q^{4} +(-1.59268 + 2.75860i) q^{5} +(-0.504963 + 0.874622i) q^{6} +(1.57025 + 2.71975i) q^{7} -11.1973 q^{8} +(1.43599 + 2.48721i) q^{9} +(4.49548 - 7.78640i) q^{10} +4.39128 q^{11} +(1.06750 - 1.84897i) q^{12} +(1.82274 + 3.15707i) q^{13} +(-4.43217 - 7.67675i) q^{14} +(0.569862 + 0.987029i) q^{15} +19.6714 q^{16} +(0.500000 + 0.866025i) q^{17} +(-4.05321 - 7.02037i) q^{18} +(-1.25913 + 2.18088i) q^{19} +(-9.50356 + 16.4607i) q^{20} +1.12367 q^{21} -12.3948 q^{22} +(0.162805 - 0.281987i) q^{23} +(-2.00320 + 3.46965i) q^{24} +(-2.57325 - 4.45700i) q^{25} +(-5.14485 - 8.91114i) q^{26} +2.10100 q^{27} +(9.36972 + 16.2288i) q^{28} +(-0.148387 - 0.257014i) q^{29} +(-1.60849 - 2.78598i) q^{30} +(0.0691656 - 0.119798i) q^{31} -33.1298 q^{32} +(0.785602 - 1.36070i) q^{33} +(-1.41130 - 2.44444i) q^{34} -10.0036 q^{35} +(8.56860 + 14.8412i) q^{36} +(3.47777 - 6.02367i) q^{37} +(3.55401 - 6.15573i) q^{38} +1.30435 q^{39} +(17.8337 - 30.8889i) q^{40} +8.04403 q^{41} -3.17167 q^{42} +(-0.483355 - 6.53960i) q^{43} +26.2029 q^{44} -9.14828 q^{45} +(-0.459533 + 0.795934i) q^{46} -11.0641 q^{47} +(3.51922 - 6.09547i) q^{48} +(-1.43136 + 2.47918i) q^{49} +(7.26323 + 12.5803i) q^{50} +0.357801 q^{51} +(10.8763 + 18.8384i) q^{52} +(3.18900 - 5.52351i) q^{53} -5.93026 q^{54} +(-6.99390 + 12.1138i) q^{55} +(-17.5826 - 30.4539i) q^{56} +(0.450518 + 0.780320i) q^{57} +(0.418837 + 0.725447i) q^{58} +1.52804 q^{59} +(3.40038 + 5.88964i) q^{60} +(0.805237 + 1.39471i) q^{61} +(-0.195226 + 0.338142i) q^{62} +(-4.50972 + 7.81106i) q^{63} +54.1690 q^{64} -11.6121 q^{65} +(-2.21744 + 3.84071i) q^{66} +(-1.50104 + 2.59988i) q^{67} +(2.98352 + 5.16760i) q^{68} +(-0.0582518 - 0.100895i) q^{69} +28.2361 q^{70} +(0.468173 + 0.810899i) q^{71} +(-16.0792 - 27.8500i) q^{72} +(5.20043 + 9.00742i) q^{73} +(-9.81633 + 17.0024i) q^{74} -1.84142 q^{75} +(-7.51327 + 13.0134i) q^{76} +(6.89540 + 11.9432i) q^{77} -3.68166 q^{78} +(-6.88582 - 11.9266i) q^{79} +(-31.3302 + 54.2656i) q^{80} +(-3.93210 + 6.81059i) q^{81} -22.7050 q^{82} +(-8.28634 + 14.3524i) q^{83} +6.70499 q^{84} -3.18536 q^{85} +(1.36431 + 18.4586i) q^{86} -0.106186 q^{87} -49.1706 q^{88} +(6.25527 - 10.8344i) q^{89} +25.8219 q^{90} +(-5.72430 + 9.91478i) q^{91} +(0.971464 - 1.68262i) q^{92} +(-0.0247475 - 0.0428639i) q^{93} +31.2295 q^{94} +(-4.01078 - 6.94687i) q^{95} +(-5.92693 + 10.2657i) q^{96} -3.56126 q^{97} +(4.04014 - 6.99772i) q^{98} +(6.30584 + 10.9220i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + O(q^{10}) \) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + 4q^{10} + 16q^{11} + 12q^{12} + 2q^{13} - 11q^{14} + 7q^{15} + 30q^{16} + 29q^{17} + 8q^{18} + 8q^{19} - 33q^{20} - 26q^{21} - 22q^{22} - 5q^{23} + 12q^{24} - 36q^{25} - 12q^{27} + 15q^{28} + 2q^{29} + 11q^{30} + 3q^{31} - 40q^{32} + 17q^{33} - 3q^{34} + 38q^{35} - 7q^{36} + 2q^{37} + q^{38} - 54q^{39} + 5q^{40} + 14q^{41} - 112q^{42} + 31q^{43} - 24q^{44} - 46q^{45} - 13q^{46} - 28q^{47} - 28q^{49} - 13q^{50} + 6q^{51} + 85q^{52} - 10q^{53} + 34q^{54} + 36q^{55} - 54q^{56} - 23q^{57} + 3q^{58} + 12q^{59} + 2q^{60} - q^{61} - q^{62} - 14q^{63} + 28q^{64} + 80q^{65} - 74q^{66} + 11q^{67} + 27q^{68} - 11q^{69} + 2q^{70} + 16q^{71} + 21q^{72} + 14q^{73} + 21q^{74} - 54q^{75} + 44q^{76} + 25q^{77} + 88q^{78} - 4q^{79} - 112q^{80} + 11q^{81} - 176q^{82} - 3q^{83} + 100q^{84} - 2q^{85} + 44q^{86} + 8q^{87} - 106q^{88} + 82q^{89} + 54q^{90} - 15q^{91} + 42q^{92} + 88q^{94} + 29q^{95} + 20q^{96} + 20q^{97} + 44q^{98} - 54q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.82259 −1.99587 −0.997937 0.0641944i \(-0.979552\pi\)
−0.997937 + 0.0641944i \(0.979552\pi\)
\(3\) 0.178900 0.309865i 0.103288 0.178900i −0.809749 0.586776i \(-0.800397\pi\)
0.913038 + 0.407876i \(0.133730\pi\)
\(4\) 5.96703 2.98352
\(5\) −1.59268 + 2.75860i −0.712267 + 1.23368i 0.251737 + 0.967796i \(0.418998\pi\)
−0.964004 + 0.265888i \(0.914335\pi\)
\(6\) −0.504963 + 0.874622i −0.206150 + 0.357063i
\(7\) 1.57025 + 2.71975i 0.593498 + 1.02797i 0.993757 + 0.111566i \(0.0355868\pi\)
−0.400259 + 0.916402i \(0.631080\pi\)
\(8\) −11.1973 −3.95885
\(9\) 1.43599 + 2.48721i 0.478663 + 0.829069i
\(10\) 4.49548 7.78640i 1.42160 2.46228i
\(11\) 4.39128 1.32402 0.662011 0.749494i \(-0.269703\pi\)
0.662011 + 0.749494i \(0.269703\pi\)
\(12\) 1.06750 1.84897i 0.308162 0.533752i
\(13\) 1.82274 + 3.15707i 0.505537 + 0.875615i 0.999979 + 0.00640491i \(0.00203876\pi\)
−0.494443 + 0.869210i \(0.664628\pi\)
\(14\) −4.43217 7.67675i −1.18455 2.05170i
\(15\) 0.569862 + 0.987029i 0.147138 + 0.254850i
\(16\) 19.6714 4.91785
\(17\) 0.500000 + 0.866025i 0.121268 + 0.210042i
\(18\) −4.05321 7.02037i −0.955352 1.65472i
\(19\) −1.25913 + 2.18088i −0.288864 + 0.500328i −0.973539 0.228521i \(-0.926611\pi\)
0.684675 + 0.728849i \(0.259944\pi\)
\(20\) −9.50356 + 16.4607i −2.12506 + 3.68071i
\(21\) 1.12367 0.245205
\(22\) −12.3948 −2.64258
\(23\) 0.162805 0.281987i 0.0339472 0.0587983i −0.848553 0.529111i \(-0.822526\pi\)
0.882500 + 0.470313i \(0.155859\pi\)
\(24\) −2.00320 + 3.46965i −0.408902 + 0.708240i
\(25\) −2.57325 4.45700i −0.514650 0.891399i
\(26\) −5.14485 8.91114i −1.00899 1.74762i
\(27\) 2.10100 0.404337
\(28\) 9.36972 + 16.2288i 1.77071 + 3.06696i
\(29\) −0.148387 0.257014i −0.0275548 0.0477264i 0.851919 0.523673i \(-0.175439\pi\)
−0.879474 + 0.475947i \(0.842105\pi\)
\(30\) −1.60849 2.78598i −0.293668 0.508648i
\(31\) 0.0691656 0.119798i 0.0124225 0.0215164i −0.859747 0.510720i \(-0.829379\pi\)
0.872170 + 0.489203i \(0.162712\pi\)
\(32\) −33.1298 −5.85657
\(33\) 0.785602 1.36070i 0.136756 0.236868i
\(34\) −1.41130 2.44444i −0.242035 0.419218i
\(35\) −10.0036 −1.69092
\(36\) 8.56860 + 14.8412i 1.42810 + 2.47354i
\(37\) 3.47777 6.02367i 0.571742 0.990286i −0.424645 0.905360i \(-0.639601\pi\)
0.996387 0.0849263i \(-0.0270655\pi\)
\(38\) 3.55401 6.15573i 0.576537 0.998591i
\(39\) 1.30435 0.208864
\(40\) 17.8337 30.8889i 2.81976 4.88397i
\(41\) 8.04403 1.25627 0.628133 0.778106i \(-0.283819\pi\)
0.628133 + 0.778106i \(0.283819\pi\)
\(42\) −3.17167 −0.489399
\(43\) −0.483355 6.53960i −0.0737109 0.997280i
\(44\) 26.2029 3.95024
\(45\) −9.14828 −1.36374
\(46\) −0.459533 + 0.795934i −0.0677544 + 0.117354i
\(47\) −11.0641 −1.61387 −0.806935 0.590641i \(-0.798875\pi\)
−0.806935 + 0.590641i \(0.798875\pi\)
\(48\) 3.51922 6.09547i 0.507956 0.879806i
\(49\) −1.43136 + 2.47918i −0.204480 + 0.354169i
\(50\) 7.26323 + 12.5803i 1.02718 + 1.77912i
\(51\) 0.357801 0.0501021
\(52\) 10.8763 + 18.8384i 1.50828 + 2.61241i
\(53\) 3.18900 5.52351i 0.438043 0.758713i −0.559496 0.828833i \(-0.689005\pi\)
0.997539 + 0.0701207i \(0.0223384\pi\)
\(54\) −5.93026 −0.807007
\(55\) −6.99390 + 12.1138i −0.943058 + 1.63342i
\(56\) −17.5826 30.4539i −2.34957 4.06957i
\(57\) 0.450518 + 0.780320i 0.0596726 + 0.103356i
\(58\) 0.418837 + 0.725447i 0.0549960 + 0.0952558i
\(59\) 1.52804 0.198934 0.0994669 0.995041i \(-0.468286\pi\)
0.0994669 + 0.995041i \(0.468286\pi\)
\(60\) 3.40038 + 5.88964i 0.438987 + 0.760349i
\(61\) 0.805237 + 1.39471i 0.103100 + 0.178574i 0.912960 0.408048i \(-0.133790\pi\)
−0.809860 + 0.586623i \(0.800457\pi\)
\(62\) −0.195226 + 0.338142i −0.0247938 + 0.0429441i
\(63\) −4.50972 + 7.81106i −0.568171 + 0.984101i
\(64\) 54.1690 6.77113
\(65\) −11.6121 −1.44031
\(66\) −2.21744 + 3.84071i −0.272947 + 0.472759i
\(67\) −1.50104 + 2.59988i −0.183381 + 0.317626i −0.943030 0.332708i \(-0.892038\pi\)
0.759649 + 0.650334i \(0.225371\pi\)
\(68\) 2.98352 + 5.16760i 0.361805 + 0.626664i
\(69\) −0.0582518 0.100895i −0.00701269 0.0121463i
\(70\) 28.2361 3.37486
\(71\) 0.468173 + 0.810899i 0.0555619 + 0.0962360i 0.892469 0.451110i \(-0.148972\pi\)
−0.836907 + 0.547346i \(0.815638\pi\)
\(72\) −16.0792 27.8500i −1.89496 3.28216i
\(73\) 5.20043 + 9.00742i 0.608665 + 1.05424i 0.991461 + 0.130405i \(0.0416279\pi\)
−0.382796 + 0.923833i \(0.625039\pi\)
\(74\) −9.81633 + 17.0024i −1.14113 + 1.97649i
\(75\) −1.84142 −0.212629
\(76\) −7.51327 + 13.0134i −0.861831 + 1.49274i
\(77\) 6.89540 + 11.9432i 0.785804 + 1.36105i
\(78\) −3.68166 −0.416866
\(79\) −6.88582 11.9266i −0.774715 1.34185i −0.934954 0.354768i \(-0.884560\pi\)
0.160239 0.987078i \(-0.448774\pi\)
\(80\) −31.3302 + 54.2656i −3.50283 + 6.06707i
\(81\) −3.93210 + 6.81059i −0.436900 + 0.756733i
\(82\) −22.7050 −2.50735
\(83\) −8.28634 + 14.3524i −0.909544 + 1.57538i −0.0948454 + 0.995492i \(0.530236\pi\)
−0.814699 + 0.579885i \(0.803098\pi\)
\(84\) 6.70499 0.731574
\(85\) −3.18536 −0.345500
\(86\) 1.36431 + 18.4586i 0.147118 + 1.99045i
\(87\) −0.106186 −0.0113844
\(88\) −49.1706 −5.24160
\(89\) 6.25527 10.8344i 0.663057 1.14845i −0.316751 0.948509i \(-0.602592\pi\)
0.979808 0.199940i \(-0.0640746\pi\)
\(90\) 25.8219 2.72186
\(91\) −5.72430 + 9.91478i −0.600070 + 1.03935i
\(92\) 0.971464 1.68262i 0.101282 0.175426i
\(93\) −0.0247475 0.0428639i −0.00256620 0.00444478i
\(94\) 31.2295 3.22108
\(95\) −4.01078 6.94687i −0.411497 0.712734i
\(96\) −5.92693 + 10.2657i −0.604914 + 1.04774i
\(97\) −3.56126 −0.361591 −0.180796 0.983521i \(-0.557867\pi\)
−0.180796 + 0.983521i \(0.557867\pi\)
\(98\) 4.04014 6.99772i 0.408116 0.706877i
\(99\) 6.30584 + 10.9220i 0.633760 + 1.09771i
\(100\) −15.3547 26.5950i −1.53547 2.65950i
\(101\) 2.58395 + 4.47553i 0.257113 + 0.445332i 0.965467 0.260525i \(-0.0838955\pi\)
−0.708354 + 0.705857i \(0.750562\pi\)
\(102\) −1.00993 −0.0999976
\(103\) −6.54953 11.3441i −0.645344 1.11777i −0.984222 0.176939i \(-0.943381\pi\)
0.338878 0.940830i \(-0.389953\pi\)
\(104\) −20.4098 35.3508i −2.00134 3.46643i
\(105\) −1.78965 + 3.09976i −0.174652 + 0.302506i
\(106\) −9.00125 + 15.5906i −0.874279 + 1.51430i
\(107\) 17.3827 1.68045 0.840223 0.542241i \(-0.182424\pi\)
0.840223 + 0.542241i \(0.182424\pi\)
\(108\) 12.5367 1.20635
\(109\) −6.72424 + 11.6467i −0.644066 + 1.11555i 0.340451 + 0.940262i \(0.389420\pi\)
−0.984516 + 0.175292i \(0.943913\pi\)
\(110\) 19.7409 34.1923i 1.88222 3.26011i
\(111\) −1.24435 2.15528i −0.118108 0.204570i
\(112\) 30.8890 + 53.5013i 2.91874 + 5.05540i
\(113\) 5.54655 0.521776 0.260888 0.965369i \(-0.415985\pi\)
0.260888 + 0.965369i \(0.415985\pi\)
\(114\) −1.27163 2.20253i −0.119099 0.206285i
\(115\) 0.518593 + 0.898229i 0.0483590 + 0.0837602i
\(116\) −0.885432 1.53361i −0.0822103 0.142392i
\(117\) −5.23486 + 9.06705i −0.483963 + 0.838249i
\(118\) −4.31303 −0.397047
\(119\) −1.57025 + 2.71975i −0.143944 + 0.249319i
\(120\) −6.38092 11.0521i −0.582496 1.00891i
\(121\) 8.28337 0.753034
\(122\) −2.27286 3.93670i −0.205775 0.356412i
\(123\) 1.43908 2.49256i 0.129757 0.224746i
\(124\) 0.412713 0.714841i 0.0370628 0.0641946i
\(125\) 0.466643 0.0417378
\(126\) 12.7291 22.0474i 1.13400 1.96414i
\(127\) −2.20227 −0.195420 −0.0977101 0.995215i \(-0.531152\pi\)
−0.0977101 + 0.995215i \(0.531152\pi\)
\(128\) −86.6376 −7.65775
\(129\) −2.11286 1.02016i −0.186027 0.0898203i
\(130\) 32.7764 2.87468
\(131\) 7.33244 0.640638 0.320319 0.947310i \(-0.396210\pi\)
0.320319 + 0.947310i \(0.396210\pi\)
\(132\) 4.68771 8.11936i 0.408013 0.706700i
\(133\) −7.90859 −0.685762
\(134\) 4.23683 7.33840i 0.366006 0.633941i
\(135\) −3.34621 + 5.79581i −0.287996 + 0.498824i
\(136\) −5.59866 9.69716i −0.480081 0.831525i
\(137\) 7.65853 0.654312 0.327156 0.944970i \(-0.393910\pi\)
0.327156 + 0.944970i \(0.393910\pi\)
\(138\) 0.164421 + 0.284786i 0.0139965 + 0.0242426i
\(139\) −0.641913 + 1.11183i −0.0544464 + 0.0943039i −0.891964 0.452106i \(-0.850673\pi\)
0.837518 + 0.546410i \(0.184006\pi\)
\(140\) −59.6918 −5.04488
\(141\) −1.97938 + 3.42838i −0.166694 + 0.288722i
\(142\) −1.32146 2.28884i −0.110895 0.192075i
\(143\) 8.00416 + 13.8636i 0.669341 + 1.15933i
\(144\) 28.2479 + 48.9269i 2.35399 + 4.07724i
\(145\) 0.945333 0.0785056
\(146\) −14.6787 25.4243i −1.21482 2.10413i
\(147\) 0.512141 + 0.887053i 0.0422406 + 0.0731629i
\(148\) 20.7520 35.9435i 1.70580 2.95453i
\(149\) 7.05465 12.2190i 0.577940 1.00102i −0.417776 0.908550i \(-0.637190\pi\)
0.995715 0.0924706i \(-0.0294764\pi\)
\(150\) 5.19758 0.424381
\(151\) 4.73198 0.385083 0.192541 0.981289i \(-0.438327\pi\)
0.192541 + 0.981289i \(0.438327\pi\)
\(152\) 14.0989 24.4200i 1.14357 1.98072i
\(153\) −1.43599 + 2.48721i −0.116093 + 0.201079i
\(154\) −19.4629 33.7108i −1.56837 2.71649i
\(155\) 0.220317 + 0.381600i 0.0176963 + 0.0306509i
\(156\) 7.78312 0.623149
\(157\) 1.31521 + 2.27801i 0.104965 + 0.181805i 0.913724 0.406336i \(-0.133194\pi\)
−0.808759 + 0.588140i \(0.799860\pi\)
\(158\) 19.4359 + 33.6639i 1.54624 + 2.67816i
\(159\) −1.14103 1.97632i −0.0904893 0.156732i
\(160\) 52.7650 91.3917i 4.17144 7.22515i
\(161\) 1.02258 0.0805904
\(162\) 11.0987 19.2235i 0.871997 1.51034i
\(163\) −6.48594 11.2340i −0.508018 0.879913i −0.999957 0.00928345i \(-0.997045\pi\)
0.491939 0.870630i \(-0.336288\pi\)
\(164\) 47.9990 3.74809
\(165\) 2.50242 + 4.33432i 0.194813 + 0.337427i
\(166\) 23.3890 40.5109i 1.81534 3.14425i
\(167\) −2.64827 + 4.58694i −0.204929 + 0.354948i −0.950110 0.311914i \(-0.899030\pi\)
0.745181 + 0.666862i \(0.232363\pi\)
\(168\) −12.5821 −0.970731
\(169\) −0.144748 + 0.250710i −0.0111344 + 0.0192854i
\(170\) 8.99097 0.689576
\(171\) −7.23239 −0.553075
\(172\) −2.88419 39.0220i −0.219918 2.97540i
\(173\) −18.9606 −1.44155 −0.720776 0.693168i \(-0.756214\pi\)
−0.720776 + 0.693168i \(0.756214\pi\)
\(174\) 0.299720 0.0227217
\(175\) 8.08127 13.9972i 0.610887 1.05809i
\(176\) 86.3828 6.51135
\(177\) 0.273367 0.473485i 0.0205475 0.0355893i
\(178\) −17.6561 + 30.5812i −1.32338 + 2.29216i
\(179\) −6.69797 11.6012i −0.500630 0.867117i −1.00000 0.000727720i \(-0.999768\pi\)
0.499370 0.866389i \(-0.333565\pi\)
\(180\) −54.5881 −4.06875
\(181\) −3.89541 6.74705i −0.289543 0.501504i 0.684157 0.729334i \(-0.260170\pi\)
−0.973701 + 0.227830i \(0.926837\pi\)
\(182\) 16.1574 27.9854i 1.19766 2.07442i
\(183\) 0.576229 0.0425960
\(184\) −1.82298 + 3.15750i −0.134392 + 0.232774i
\(185\) 11.0779 + 19.1876i 0.814466 + 1.41070i
\(186\) 0.0698522 + 0.120987i 0.00512181 + 0.00887123i
\(187\) 2.19564 + 3.80296i 0.160561 + 0.278100i
\(188\) −66.0200 −4.81500
\(189\) 3.29909 + 5.71419i 0.239973 + 0.415646i
\(190\) 11.3208 + 19.6082i 0.821297 + 1.42253i
\(191\) 6.62366 11.4725i 0.479271 0.830122i −0.520446 0.853895i \(-0.674234\pi\)
0.999717 + 0.0237721i \(0.00756761\pi\)
\(192\) 9.69086 16.7851i 0.699377 1.21136i
\(193\) 3.27045 0.235412 0.117706 0.993048i \(-0.462446\pi\)
0.117706 + 0.993048i \(0.462446\pi\)
\(194\) 10.0520 0.721690
\(195\) −2.07742 + 3.59819i −0.148767 + 0.257672i
\(196\) −8.54095 + 14.7934i −0.610068 + 1.05667i
\(197\) 3.87742 + 6.71589i 0.276255 + 0.478487i 0.970451 0.241299i \(-0.0775733\pi\)
−0.694196 + 0.719786i \(0.744240\pi\)
\(198\) −17.7988 30.8284i −1.26491 2.19088i
\(199\) −14.8263 −1.05101 −0.525505 0.850790i \(-0.676124\pi\)
−0.525505 + 0.850790i \(0.676124\pi\)
\(200\) 28.8135 + 49.9064i 2.03742 + 3.52892i
\(201\) 0.537074 + 0.930239i 0.0378823 + 0.0656140i
\(202\) −7.29344 12.6326i −0.513165 0.888828i
\(203\) 0.466010 0.807152i 0.0327075 0.0566510i
\(204\) 2.13501 0.149481
\(205\) −12.8115 + 22.1902i −0.894797 + 1.54983i
\(206\) 18.4867 + 32.0198i 1.28803 + 2.23093i
\(207\) 0.935146 0.0649971
\(208\) 35.8558 + 62.1041i 2.48615 + 4.30615i
\(209\) −5.52920 + 9.57685i −0.382463 + 0.662445i
\(210\) 5.05145 8.74936i 0.348583 0.603763i
\(211\) −17.8182 −1.22666 −0.613329 0.789827i \(-0.710170\pi\)
−0.613329 + 0.789827i \(0.710170\pi\)
\(212\) 19.0289 32.9590i 1.30691 2.26363i
\(213\) 0.335025 0.0229555
\(214\) −49.0642 −3.35396
\(215\) 18.8100 + 9.08210i 1.28283 + 0.619394i
\(216\) −23.5256 −1.60071
\(217\) 0.434429 0.0294909
\(218\) 18.9798 32.8740i 1.28547 2.22651i
\(219\) 3.72144 0.251472
\(220\) −41.7328 + 72.2834i −2.81363 + 4.87335i
\(221\) −1.82274 + 3.15707i −0.122611 + 0.212368i
\(222\) 3.51229 + 6.08347i 0.235730 + 0.408296i
\(223\) 3.46640 0.232127 0.116064 0.993242i \(-0.462972\pi\)
0.116064 + 0.993242i \(0.462972\pi\)
\(224\) −52.0219 90.1046i −3.47586 6.02037i
\(225\) 7.39031 12.8004i 0.492688 0.853360i
\(226\) −15.6557 −1.04140
\(227\) 1.46114 2.53077i 0.0969793 0.167973i −0.813454 0.581630i \(-0.802415\pi\)
0.910433 + 0.413657i \(0.135749\pi\)
\(228\) 2.68825 + 4.65619i 0.178034 + 0.308364i
\(229\) −9.19255 15.9220i −0.607461 1.05215i −0.991657 0.128902i \(-0.958855\pi\)
0.384196 0.923251i \(-0.374479\pi\)
\(230\) −1.46378 2.53533i −0.0965185 0.167175i
\(231\) 4.93436 0.324657
\(232\) 1.66154 + 2.87787i 0.109085 + 0.188942i
\(233\) −10.8325 18.7624i −0.709660 1.22917i −0.964983 0.262312i \(-0.915515\pi\)
0.255323 0.966856i \(-0.417818\pi\)
\(234\) 14.7759 25.5926i 0.965930 1.67304i
\(235\) 17.6216 30.5215i 1.14951 1.99100i
\(236\) 9.11786 0.593522
\(237\) −4.92751 −0.320076
\(238\) 4.43217 7.67675i 0.287295 0.497609i
\(239\) −3.29020 + 5.69880i −0.212826 + 0.368625i −0.952598 0.304233i \(-0.901600\pi\)
0.739772 + 0.672858i \(0.234933\pi\)
\(240\) 11.2100 + 19.4163i 0.723601 + 1.25331i
\(241\) −4.49404 7.78391i −0.289487 0.501406i 0.684201 0.729294i \(-0.260151\pi\)
−0.973687 + 0.227888i \(0.926818\pi\)
\(242\) −23.3806 −1.50296
\(243\) 4.55841 + 7.89539i 0.292422 + 0.506490i
\(244\) 4.80487 + 8.32229i 0.307601 + 0.532780i
\(245\) −4.55938 7.89708i −0.291288 0.504526i
\(246\) −4.06194 + 7.03548i −0.258980 + 0.448566i
\(247\) −9.18026 −0.584126
\(248\) −0.774469 + 1.34142i −0.0491789 + 0.0851803i
\(249\) 2.96486 + 5.13529i 0.187890 + 0.325436i
\(250\) −1.31714 −0.0833035
\(251\) 11.4801 + 19.8841i 0.724618 + 1.25508i 0.959131 + 0.282963i \(0.0913173\pi\)
−0.234512 + 0.972113i \(0.575349\pi\)
\(252\) −26.9096 + 46.6089i −1.69515 + 2.93608i
\(253\) 0.714924 1.23828i 0.0449469 0.0778503i
\(254\) 6.21612 0.390034
\(255\) −0.569862 + 0.987029i −0.0356861 + 0.0618102i
\(256\) 136.205 8.51279
\(257\) 14.6140 0.911596 0.455798 0.890083i \(-0.349354\pi\)
0.455798 + 0.890083i \(0.349354\pi\)
\(258\) 5.96375 + 2.87950i 0.371287 + 0.179270i
\(259\) 21.8438 1.35731
\(260\) −69.2900 −4.29718
\(261\) 0.426165 0.738140i 0.0263790 0.0456897i
\(262\) −20.6965 −1.27863
\(263\) 2.13966 3.70600i 0.131937 0.228522i −0.792486 0.609890i \(-0.791214\pi\)
0.924423 + 0.381368i \(0.124547\pi\)
\(264\) −8.79664 + 15.2362i −0.541396 + 0.937725i
\(265\) 10.1581 + 17.5944i 0.624007 + 1.08081i
\(266\) 22.3227 1.36869
\(267\) −2.23814 3.87657i −0.136972 0.237242i
\(268\) −8.95676 + 15.5136i −0.547121 + 0.947642i
\(269\) −24.5023 −1.49393 −0.746966 0.664863i \(-0.768490\pi\)
−0.746966 + 0.664863i \(0.768490\pi\)
\(270\) 9.44500 16.3592i 0.574805 0.995591i
\(271\) −0.851697 1.47518i −0.0517369 0.0896109i 0.838997 0.544136i \(-0.183142\pi\)
−0.890734 + 0.454525i \(0.849809\pi\)
\(272\) 9.83571 + 17.0359i 0.596377 + 1.03296i
\(273\) 2.04816 + 3.54752i 0.123960 + 0.214705i
\(274\) −21.6169 −1.30593
\(275\) −11.2999 19.5719i −0.681407 1.18023i
\(276\) −0.347590 0.602044i −0.0209225 0.0362388i
\(277\) −4.25903 + 7.37685i −0.255900 + 0.443232i −0.965140 0.261736i \(-0.915705\pi\)
0.709239 + 0.704968i \(0.249038\pi\)
\(278\) 1.81186 3.13823i 0.108668 0.188219i
\(279\) 0.397284 0.0237848
\(280\) 112.013 6.69409
\(281\) 7.28338 12.6152i 0.434490 0.752559i −0.562764 0.826618i \(-0.690262\pi\)
0.997254 + 0.0740587i \(0.0235952\pi\)
\(282\) 5.58698 9.67693i 0.332700 0.576253i
\(283\) −12.0586 20.8861i −0.716809 1.24155i −0.962258 0.272140i \(-0.912268\pi\)
0.245448 0.969410i \(-0.421065\pi\)
\(284\) 2.79360 + 4.83866i 0.165770 + 0.287122i
\(285\) −2.87012 −0.170011
\(286\) −22.5925 39.1313i −1.33592 2.31388i
\(287\) 12.6311 + 21.8777i 0.745591 + 1.29140i
\(288\) −47.5740 82.4006i −2.80332 4.85550i
\(289\) −0.500000 + 0.866025i −0.0294118 + 0.0509427i
\(290\) −2.66829 −0.156687
\(291\) −0.637111 + 1.10351i −0.0373481 + 0.0646888i
\(292\) 31.0312 + 53.7475i 1.81596 + 3.14534i
\(293\) 8.30923 0.485430 0.242715 0.970098i \(-0.421962\pi\)
0.242715 + 0.970098i \(0.421962\pi\)
\(294\) −1.44556 2.50379i −0.0843070 0.146024i
\(295\) −2.43367 + 4.21525i −0.141694 + 0.245421i
\(296\) −38.9417 + 67.4490i −2.26344 + 3.92039i
\(297\) 9.22608 0.535351
\(298\) −19.9124 + 34.4893i −1.15350 + 1.99791i
\(299\) 1.18700 0.0686463
\(300\) −10.9878 −0.634382
\(301\) 17.0271 11.5834i 0.981425 0.667656i
\(302\) −13.3564 −0.768577
\(303\) 1.84908 0.106227
\(304\) −24.7689 + 42.9010i −1.42059 + 2.46054i
\(305\) −5.12993 −0.293739
\(306\) 4.05321 7.02037i 0.231707 0.401328i
\(307\) 10.2650 17.7796i 0.585857 1.01473i −0.408911 0.912574i \(-0.634091\pi\)
0.994768 0.102160i \(-0.0325753\pi\)
\(308\) 41.1451 + 71.2654i 2.34446 + 4.06072i
\(309\) −4.68685 −0.266626
\(310\) −0.621866 1.07710i −0.0353196 0.0611753i
\(311\) 16.6907 28.9091i 0.946441 1.63928i 0.193600 0.981081i \(-0.437984\pi\)
0.752841 0.658203i \(-0.228683\pi\)
\(312\) −14.6053 −0.826861
\(313\) 1.17762 2.03970i 0.0665632 0.115291i −0.830823 0.556537i \(-0.812130\pi\)
0.897386 + 0.441246i \(0.145463\pi\)
\(314\) −3.71230 6.42989i −0.209497 0.362860i
\(315\) −14.3651 24.8810i −0.809379 1.40189i
\(316\) −41.0879 71.1664i −2.31138 4.00342i
\(317\) −4.96330 −0.278766 −0.139383 0.990239i \(-0.544512\pi\)
−0.139383 + 0.990239i \(0.544512\pi\)
\(318\) 3.22066 + 5.57834i 0.180605 + 0.312818i
\(319\) −0.651611 1.12862i −0.0364832 0.0631907i
\(320\) −86.2738 + 149.431i −4.82285 + 8.35343i
\(321\) 3.10977 5.38627i 0.173570 0.300632i
\(322\) −2.88632 −0.160848
\(323\) −2.51826 −0.140120
\(324\) −23.4630 + 40.6390i −1.30350 + 2.25772i
\(325\) 9.38071 16.2479i 0.520348 0.901270i
\(326\) 18.3072 + 31.7090i 1.01394 + 1.75620i
\(327\) 2.40594 + 4.16721i 0.133049 + 0.230447i
\(328\) −90.0715 −4.97337
\(329\) −17.3734 30.0917i −0.957828 1.65901i
\(330\) −7.06332 12.2340i −0.388823 0.673462i
\(331\) 8.39827 + 14.5462i 0.461611 + 0.799533i 0.999041 0.0437748i \(-0.0139384\pi\)
−0.537431 + 0.843308i \(0.680605\pi\)
\(332\) −49.4449 + 85.6410i −2.71364 + 4.70016i
\(333\) 19.9762 1.09469
\(334\) 7.47499 12.9471i 0.409013 0.708432i
\(335\) −4.78135 8.28154i −0.261233 0.452469i
\(336\) 22.1042 1.20588
\(337\) 3.93097 + 6.80864i 0.214134 + 0.370890i 0.953004 0.302957i \(-0.0979739\pi\)
−0.738871 + 0.673847i \(0.764641\pi\)
\(338\) 0.408564 0.707653i 0.0222229 0.0384912i
\(339\) 0.992281 1.71868i 0.0538933 0.0933459i
\(340\) −19.0071 −1.03081
\(341\) 0.303726 0.526069i 0.0164477 0.0284882i
\(342\) 20.4141 1.10387
\(343\) 12.9931 0.701563
\(344\) 5.41228 + 73.2260i 0.291811 + 3.94808i
\(345\) 0.371106 0.0199797
\(346\) 53.5182 2.87716
\(347\) −5.75200 + 9.96276i −0.308784 + 0.534829i −0.978097 0.208152i \(-0.933255\pi\)
0.669313 + 0.742981i \(0.266589\pi\)
\(348\) −0.633616 −0.0339654
\(349\) −16.9864 + 29.4213i −0.909261 + 1.57489i −0.0941673 + 0.995556i \(0.530019\pi\)
−0.815093 + 0.579329i \(0.803314\pi\)
\(350\) −22.8102 + 39.5083i −1.21925 + 2.11181i
\(351\) 3.82957 + 6.63301i 0.204407 + 0.354044i
\(352\) −145.482 −7.75423
\(353\) 5.19266 + 8.99394i 0.276377 + 0.478699i 0.970482 0.241175i \(-0.0775328\pi\)
−0.694104 + 0.719874i \(0.744199\pi\)
\(354\) −0.771603 + 1.33646i −0.0410102 + 0.0710318i
\(355\) −2.98259 −0.158300
\(356\) 37.3254 64.6495i 1.97824 3.42641i
\(357\) 0.561836 + 0.973128i 0.0297355 + 0.0515034i
\(358\) 18.9057 + 32.7456i 0.999195 + 1.73066i
\(359\) −10.1640 17.6045i −0.536435 0.929132i −0.999092 0.0425952i \(-0.986437\pi\)
0.462658 0.886537i \(-0.346896\pi\)
\(360\) 102.436 5.39886
\(361\) 6.32918 + 10.9625i 0.333115 + 0.576972i
\(362\) 10.9952 + 19.0442i 0.577892 + 1.00094i
\(363\) 1.48190 2.56672i 0.0777795 0.134718i
\(364\) −34.1571 + 59.1618i −1.79032 + 3.10092i
\(365\) −33.1305 −1.73413
\(366\) −1.62646 −0.0850164
\(367\) 0.226274 0.391918i 0.0118114 0.0204579i −0.860059 0.510194i \(-0.829574\pi\)
0.871871 + 0.489736i \(0.162907\pi\)
\(368\) 3.20261 5.54708i 0.166947 0.289162i
\(369\) 11.5511 + 20.0072i 0.601328 + 1.04153i
\(370\) −31.2685 54.1587i −1.62557 2.81557i
\(371\) 20.0301 1.03991
\(372\) −0.147669 0.255771i −0.00765629 0.0132611i
\(373\) 11.2545 + 19.4934i 0.582738 + 1.00933i 0.995153 + 0.0983359i \(0.0313520\pi\)
−0.412415 + 0.910996i \(0.635315\pi\)
\(374\) −6.19740 10.7342i −0.320460 0.555053i
\(375\) 0.0834827 0.144596i 0.00431103 0.00746692i
\(376\) 123.889 6.38907
\(377\) 0.540942 0.936939i 0.0278599 0.0482548i
\(378\) −9.31198 16.1288i −0.478957 0.829578i
\(379\) −1.95707 −0.100528 −0.0502641 0.998736i \(-0.516006\pi\)
−0.0502641 + 0.998736i \(0.516006\pi\)
\(380\) −23.9325 41.4522i −1.22771 2.12645i
\(381\) −0.393988 + 0.682407i −0.0201846 + 0.0349608i
\(382\) −18.6959 + 32.3823i −0.956566 + 1.65682i
\(383\) 1.19143 0.0608791 0.0304395 0.999537i \(-0.490309\pi\)
0.0304395 + 0.999537i \(0.490309\pi\)
\(384\) −15.4995 + 26.8459i −0.790955 + 1.36997i
\(385\) −43.9286 −2.23881
\(386\) −9.23114 −0.469853
\(387\) 15.5712 10.5930i 0.791531 0.538472i
\(388\) −21.2501 −1.07881
\(389\) 7.46160 0.378318 0.189159 0.981946i \(-0.439424\pi\)
0.189159 + 0.981946i \(0.439424\pi\)
\(390\) 5.86370 10.1562i 0.296920 0.514281i
\(391\) 0.325610 0.0164668
\(392\) 16.0274 27.7602i 0.809504 1.40210i
\(393\) 1.31178 2.27206i 0.0661703 0.114610i
\(394\) −10.9444 18.9562i −0.551370 0.955001i
\(395\) 43.8676 2.20722
\(396\) 37.6271 + 65.1721i 1.89083 + 3.27502i
\(397\) 6.19955 10.7379i 0.311146 0.538921i −0.667464 0.744642i \(-0.732620\pi\)
0.978611 + 0.205720i \(0.0659537\pi\)
\(398\) 41.8487 2.09769
\(399\) −1.41485 + 2.45059i −0.0708311 + 0.122683i
\(400\) −50.6194 87.6754i −2.53097 4.38377i
\(401\) −10.6290 18.4099i −0.530786 0.919349i −0.999355 0.0359216i \(-0.988563\pi\)
0.468568 0.883427i \(-0.344770\pi\)
\(402\) −1.51594 2.62569i −0.0756082 0.130957i
\(403\) 0.504283 0.0251201
\(404\) 15.4185 + 26.7057i 0.767100 + 1.32866i
\(405\) −12.5251 21.6942i −0.622379 1.07799i
\(406\) −1.31536 + 2.27826i −0.0652800 + 0.113068i
\(407\) 15.2719 26.4517i 0.756999 1.31116i
\(408\) −4.00641 −0.198347
\(409\) −5.32473 −0.263291 −0.131646 0.991297i \(-0.542026\pi\)
−0.131646 + 0.991297i \(0.542026\pi\)
\(410\) 36.1618 62.6340i 1.78590 3.09328i
\(411\) 1.37011 2.37311i 0.0675828 0.117057i
\(412\) −39.0813 67.6907i −1.92540 3.33488i
\(413\) 2.39940 + 4.15588i 0.118067 + 0.204498i
\(414\) −2.63954 −0.129726
\(415\) −26.3950 45.7174i −1.29568 2.24418i
\(416\) −60.3869 104.593i −2.96071 5.12810i
\(417\) 0.229677 + 0.397812i 0.0112473 + 0.0194810i
\(418\) 15.6067 27.0316i 0.763348 1.32216i
\(419\) −0.103781 −0.00507005 −0.00253503 0.999997i \(-0.500807\pi\)
−0.00253503 + 0.999997i \(0.500807\pi\)
\(420\) −10.6789 + 18.4964i −0.521076 + 0.902531i
\(421\) 13.8106 + 23.9206i 0.673086 + 1.16582i 0.977024 + 0.213128i \(0.0683651\pi\)
−0.303938 + 0.952692i \(0.598302\pi\)
\(422\) 50.2937 2.44826
\(423\) −15.8880 27.5188i −0.772500 1.33801i
\(424\) −35.7083 + 61.8485i −1.73415 + 3.00363i
\(425\) 2.57325 4.45700i 0.124821 0.216196i
\(426\) −0.945639 −0.0458164
\(427\) −2.52884 + 4.38008i −0.122379 + 0.211967i
\(428\) 103.723 5.01364
\(429\) 5.72779 0.276540
\(430\) −53.0929 25.6351i −2.56037 1.23623i
\(431\) −19.5888 −0.943558 −0.471779 0.881717i \(-0.656388\pi\)
−0.471779 + 0.881717i \(0.656388\pi\)
\(432\) 41.3296 1.98847
\(433\) 14.9601 25.9117i 0.718937 1.24524i −0.242484 0.970155i \(-0.577962\pi\)
0.961421 0.275081i \(-0.0887046\pi\)
\(434\) −1.22622 −0.0588602
\(435\) 0.169120 0.292925i 0.00810870 0.0140447i
\(436\) −40.1238 + 69.4964i −1.92158 + 3.32827i
\(437\) 0.409986 + 0.710116i 0.0196123 + 0.0339695i
\(438\) −10.5041 −0.501906
\(439\) −0.127520 0.220871i −0.00608618 0.0105416i 0.862966 0.505262i \(-0.168604\pi\)
−0.869052 + 0.494720i \(0.835271\pi\)
\(440\) 78.3130 135.642i 3.73342 6.46648i
\(441\) −8.22165 −0.391507
\(442\) 5.14485 8.91114i 0.244715 0.423860i
\(443\) −16.9872 29.4227i −0.807087 1.39792i −0.914873 0.403742i \(-0.867709\pi\)
0.107786 0.994174i \(-0.465624\pi\)
\(444\) −7.42507 12.8606i −0.352378 0.610337i
\(445\) 19.9253 + 34.5116i 0.944548 + 1.63600i
\(446\) −9.78424 −0.463297
\(447\) −2.52416 4.37197i −0.119389 0.206787i
\(448\) 85.0588 + 147.326i 4.01865 + 6.96050i
\(449\) −14.1419 + 24.4945i −0.667398 + 1.15597i 0.311231 + 0.950334i \(0.399259\pi\)
−0.978629 + 0.205633i \(0.934075\pi\)
\(450\) −20.8598 + 36.1303i −0.983343 + 1.70320i
\(451\) 35.3236 1.66332
\(452\) 33.0965 1.55673
\(453\) 0.846553 1.46627i 0.0397745 0.0688915i
\(454\) −4.12421 + 7.14334i −0.193559 + 0.335253i
\(455\) −18.2339 31.5821i −0.854820 1.48059i
\(456\) −5.04459 8.73749i −0.236235 0.409170i
\(457\) 34.5658 1.61692 0.808461 0.588550i \(-0.200301\pi\)
0.808461 + 0.588550i \(0.200301\pi\)
\(458\) 25.9468 + 44.9412i 1.21242 + 2.09997i
\(459\) 1.05050 + 1.81952i 0.0490331 + 0.0849278i
\(460\) 3.09446 + 5.35976i 0.144280 + 0.249900i
\(461\) −16.0173 + 27.7427i −0.745998 + 1.29211i 0.203729 + 0.979027i \(0.434694\pi\)
−0.949727 + 0.313079i \(0.898639\pi\)
\(462\) −13.9277 −0.647975
\(463\) 2.23485 3.87088i 0.103862 0.179895i −0.809410 0.587243i \(-0.800213\pi\)
0.913273 + 0.407348i \(0.133547\pi\)
\(464\) −2.91899 5.05583i −0.135511 0.234711i
\(465\) 0.157659 0.00731127
\(466\) 30.5757 + 52.9587i 1.41639 + 2.45326i
\(467\) 5.21884 9.03930i 0.241499 0.418289i −0.719642 0.694345i \(-0.755694\pi\)
0.961142 + 0.276056i \(0.0890276\pi\)
\(468\) −31.2366 + 54.1034i −1.44391 + 2.50093i
\(469\) −9.42803 −0.435346
\(470\) −49.7386 + 86.1498i −2.29427 + 3.97379i
\(471\) 0.941165 0.0433666
\(472\) −17.1099 −0.787549
\(473\) −2.12255 28.7172i −0.0975949 1.32042i
\(474\) 13.9083 0.638831
\(475\) 12.9602 0.594656
\(476\) −9.36972 + 16.2288i −0.429460 + 0.743847i
\(477\) 18.3175 0.838700
\(478\) 9.28691 16.0854i 0.424773 0.735729i
\(479\) 14.0215 24.2859i 0.640659 1.10965i −0.344627 0.938740i \(-0.611995\pi\)
0.985286 0.170914i \(-0.0546720\pi\)
\(480\) −18.8794 32.7000i −0.861722 1.49255i
\(481\) 25.3563 1.15615
\(482\) 12.6849 + 21.9708i 0.577779 + 1.00074i
\(483\) 0.182940 0.316861i 0.00832404 0.0144177i
\(484\) 49.4271 2.24669
\(485\) 5.67194 9.82409i 0.257549 0.446089i
\(486\) −12.8665 22.2855i −0.583637 1.01089i
\(487\) −12.1211 20.9944i −0.549261 0.951348i −0.998325 0.0578485i \(-0.981576\pi\)
0.449064 0.893499i \(-0.351757\pi\)
\(488\) −9.01649 15.6170i −0.408157 0.706949i
\(489\) −4.64135 −0.209889
\(490\) 12.8693 + 22.2902i 0.581375 + 1.00697i
\(491\) 6.17870 + 10.7018i 0.278841 + 0.482966i 0.971097 0.238686i \(-0.0767165\pi\)
−0.692256 + 0.721652i \(0.743383\pi\)
\(492\) 8.58703 14.8732i 0.387133 0.670535i
\(493\) 0.148387 0.257014i 0.00668303 0.0115753i
\(494\) 25.9121 1.16584
\(495\) −40.1727 −1.80563
\(496\) 1.36059 2.35660i 0.0610921 0.105815i
\(497\) −1.47029 + 2.54662i −0.0659517 + 0.114232i
\(498\) −8.36859 14.4948i −0.375006 0.649529i
\(499\) −6.25186 10.8285i −0.279872 0.484752i 0.691481 0.722395i \(-0.256959\pi\)
−0.971353 + 0.237643i \(0.923625\pi\)
\(500\) 2.78448 0.124526
\(501\) 0.947553 + 1.64121i 0.0423335 + 0.0733239i
\(502\) −32.4037 56.1248i −1.44625 2.50497i
\(503\) 12.1152 + 20.9842i 0.540192 + 0.935640i 0.998893 + 0.0470490i \(0.0149817\pi\)
−0.458701 + 0.888591i \(0.651685\pi\)
\(504\) 50.4968 87.4629i 2.24930 3.89591i
\(505\) −16.4616 −0.732532
\(506\) −2.01794 + 3.49517i −0.0897083 + 0.155379i
\(507\) 0.0517908 + 0.0897043i 0.00230011 + 0.00398391i
\(508\) −13.1410 −0.583039
\(509\) 12.4986 + 21.6483i 0.553992 + 0.959543i 0.997981 + 0.0635107i \(0.0202297\pi\)
−0.443989 + 0.896032i \(0.646437\pi\)
\(510\) 1.60849 2.78598i 0.0712250 0.123365i
\(511\) −16.3319 + 28.2877i −0.722482 + 1.25138i
\(512\) −211.175 −9.33270
\(513\) −2.64543 + 4.58202i −0.116799 + 0.202301i
\(514\) −41.2494 −1.81943
\(515\) 41.7252 1.83863
\(516\) −12.6075 6.08734i −0.555015 0.267980i
\(517\) −48.5857 −2.13680
\(518\) −61.6563 −2.70902
\(519\) −3.39207 + 5.87523i −0.148895 + 0.257894i
\(520\) 130.025 5.70197
\(521\) 8.89906 15.4136i 0.389875 0.675283i −0.602558 0.798075i \(-0.705852\pi\)
0.992432 + 0.122792i \(0.0391849\pi\)
\(522\) −1.20289 + 2.08347i −0.0526491 + 0.0911909i
\(523\) 7.30486 + 12.6524i 0.319419 + 0.553251i 0.980367 0.197181i \(-0.0631788\pi\)
−0.660948 + 0.750432i \(0.729845\pi\)
\(524\) 43.7529 1.91135
\(525\) −2.89149 5.00820i −0.126195 0.218576i
\(526\) −6.03938 + 10.4605i −0.263330 + 0.456100i
\(527\) 0.138331 0.00602580
\(528\) 15.4539 26.7670i 0.672545 1.16488i
\(529\) 11.4470 + 19.8268i 0.497695 + 0.862033i
\(530\) −28.6722 49.6617i −1.24544 2.15717i
\(531\) 2.19425 + 3.80055i 0.0952222 + 0.164930i
\(532\) −47.1908 −2.04598
\(533\) 14.6622 + 25.3956i 0.635088 + 1.10001i
\(534\) 6.31736 + 10.9420i 0.273379 + 0.473506i
\(535\) −27.6850 + 47.9518i −1.19693 + 2.07314i
\(536\) 16.8076 29.1117i 0.725979 1.25743i
\(537\) −4.79308 −0.206837
\(538\) 69.1600 2.98170
\(539\) −6.28549 + 10.8868i −0.270735 + 0.468927i
\(540\) −19.9670 + 34.5838i −0.859242 + 1.48825i
\(541\) 10.4354 + 18.0747i 0.448654 + 0.777091i 0.998299 0.0583071i \(-0.0185702\pi\)
−0.549645 + 0.835399i \(0.685237\pi\)
\(542\) 2.40399 + 4.16384i 0.103260 + 0.178852i
\(543\) −2.78756 −0.119626
\(544\) −16.5649 28.6912i −0.710213 1.23013i
\(545\) −21.4191 37.0990i −0.917494 1.58915i
\(546\) −5.78112 10.0132i −0.247409 0.428525i
\(547\) 12.7651 22.1098i 0.545796 0.945347i −0.452760 0.891632i \(-0.649561\pi\)
0.998556 0.0537143i \(-0.0171060\pi\)
\(548\) 45.6987 1.95215
\(549\) −2.31262 + 4.00558i −0.0987003 + 0.170954i
\(550\) 31.8949 + 55.2436i 1.36000 + 2.35560i
\(551\) 0.747356 0.0318384
\(552\) 0.652264 + 1.12975i 0.0277622 + 0.0480856i
\(553\) 21.6249 37.4554i 0.919584 1.59277i
\(554\) 12.0215 20.8219i 0.510745 0.884636i
\(555\) 7.92739 0.336499
\(556\) −3.83032 + 6.63430i −0.162442 + 0.281357i
\(557\) 12.5192 0.530455 0.265227 0.964186i \(-0.414553\pi\)
0.265227 + 0.964186i \(0.414553\pi\)
\(558\) −1.12137 −0.0474715
\(559\) 19.7650 13.4460i 0.835969 0.568704i
\(560\) −196.785 −8.31568
\(561\) 1.57120 0.0663363
\(562\) −20.5580 + 35.6075i −0.867188 + 1.50201i
\(563\) 16.9991 0.716425 0.358212 0.933640i \(-0.383386\pi\)
0.358212 + 0.933640i \(0.383386\pi\)
\(564\) −11.8110 + 20.4573i −0.497333 + 0.861406i
\(565\) −8.83388 + 15.3007i −0.371644 + 0.643706i
\(566\) 34.0365 + 58.9530i 1.43066 + 2.47798i
\(567\) −24.6975 −1.03720
\(568\) −5.24228 9.07989i −0.219961 0.380984i
\(569\) −12.7511 + 22.0856i −0.534554 + 0.925875i 0.464630 + 0.885505i \(0.346187\pi\)
−0.999185 + 0.0403706i \(0.987146\pi\)
\(570\) 8.10118 0.339321
\(571\) −14.2822 + 24.7375i −0.597691 + 1.03523i 0.395470 + 0.918479i \(0.370582\pi\)
−0.993161 + 0.116753i \(0.962751\pi\)
\(572\) 47.7611 + 82.7246i 1.99699 + 3.45889i
\(573\) −2.36995 4.10488i −0.0990062 0.171484i
\(574\) −35.6525 61.7519i −1.48811 2.57748i
\(575\) −1.67575 −0.0698837
\(576\) 77.7861 + 134.730i 3.24109 + 5.61373i
\(577\) 4.73006 + 8.19271i 0.196915 + 0.341067i 0.947527 0.319677i \(-0.103574\pi\)
−0.750612 + 0.660744i \(0.770241\pi\)
\(578\) 1.41130 2.44444i 0.0587022 0.101675i
\(579\) 0.585084 1.01340i 0.0243153 0.0421153i
\(580\) 5.64083 0.234223
\(581\) −52.0464 −2.15925
\(582\) 1.79830 3.11475i 0.0745421 0.129111i
\(583\) 14.0038 24.2553i 0.579978 1.00455i
\(584\) −58.2309 100.859i −2.40961 4.17357i
\(585\) −16.6749 28.8818i −0.689423 1.19412i
\(586\) −23.4536 −0.968858
\(587\) 10.6650 + 18.4722i 0.440190 + 0.762431i 0.997703 0.0677369i \(-0.0215778\pi\)
−0.557513 + 0.830168i \(0.688245\pi\)
\(588\) 3.05596 + 5.29308i 0.126026 + 0.218283i
\(589\) 0.174177 + 0.301684i 0.00717684 + 0.0124307i
\(590\) 6.86927 11.8979i 0.282803 0.489830i
\(591\) 2.77469 0.114135
\(592\) 68.4127 118.494i 2.81174 4.87008i
\(593\) 5.76285 + 9.98155i 0.236652 + 0.409893i 0.959751 0.280851i \(-0.0906166\pi\)
−0.723100 + 0.690744i \(0.757283\pi\)
\(594\) −26.0415 −1.06849
\(595\) −5.00180 8.66337i −0.205054 0.355164i
\(596\) 42.0953 72.9113i 1.72429 2.98656i
\(597\) −2.65244 + 4.59415i −0.108557 + 0.188026i
\(598\) −3.35043 −0.137009
\(599\) −3.36627 + 5.83055i −0.137542 + 0.238230i −0.926566 0.376133i \(-0.877254\pi\)
0.789024 + 0.614363i \(0.210587\pi\)
\(600\) 20.6190 0.841766
\(601\) 14.1696 0.577992 0.288996 0.957330i \(-0.406679\pi\)
0.288996 + 0.957330i \(0.406679\pi\)
\(602\) −48.0605 + 32.6952i −1.95880 + 1.33256i
\(603\) −8.62192 −0.351112
\(604\) 28.2359 1.14890
\(605\) −13.1927 + 22.8505i −0.536361 + 0.929005i
\(606\) −5.21920 −0.212015
\(607\) −6.91576 + 11.9785i −0.280702 + 0.486191i −0.971558 0.236802i \(-0.923901\pi\)
0.690856 + 0.722993i \(0.257234\pi\)
\(608\) 41.7147 72.2520i 1.69175 2.93020i
\(609\) −0.166739 0.288800i −0.00675659 0.0117028i
\(610\) 14.4797 0.586266
\(611\) −20.1670 34.9303i −0.815870 1.41313i
\(612\) −8.56860 + 14.8412i −0.346365 + 0.599922i
\(613\) −44.7789 −1.80860 −0.904301 0.426895i \(-0.859607\pi\)
−0.904301 + 0.426895i \(0.859607\pi\)
\(614\) −28.9740 + 50.1845i −1.16930 + 2.02528i
\(615\) 4.58398 + 7.93969i 0.184844 + 0.320159i
\(616\) −77.2100 133.732i −3.11088 5.38820i
\(617\) −4.71277 8.16275i −0.189729 0.328620i 0.755431 0.655228i \(-0.227428\pi\)
−0.945160 + 0.326608i \(0.894094\pi\)
\(618\) 13.2291 0.532152
\(619\) −3.28225 5.68502i −0.131925 0.228500i 0.792494 0.609880i \(-0.208782\pi\)
−0.924418 + 0.381380i \(0.875449\pi\)
\(620\) 1.31464 + 2.27702i 0.0527972 + 0.0914474i
\(621\) 0.342053 0.592454i 0.0137261 0.0237744i
\(622\) −47.1109 + 81.5986i −1.88898 + 3.27180i
\(623\) 39.2893 1.57409
\(624\) 25.6585 1.02716
\(625\) 12.1230 20.9977i 0.484921 0.839908i
\(626\) −3.32395 + 5.75725i −0.132852 + 0.230106i
\(627\) 1.97835 + 3.42661i 0.0790078 + 0.136845i
\(628\) 7.84789 + 13.5929i 0.313165 + 0.542418i
\(629\) 6.95554 0.277336
\(630\) 40.5467 + 70.2290i 1.61542 + 2.79799i
\(631\) 18.0473 + 31.2588i 0.718450 + 1.24439i 0.961614 + 0.274406i \(0.0884813\pi\)
−0.243164 + 0.969985i \(0.578185\pi\)
\(632\) 77.1027 + 133.546i 3.06698 + 5.31217i
\(633\) −3.18769 + 5.52124i −0.126699 + 0.219450i
\(634\) 14.0094 0.556383
\(635\) 3.50751 6.07519i 0.139191 0.241087i
\(636\) −6.80855 11.7927i −0.269976 0.467613i
\(637\) −10.4360 −0.413487
\(638\) 1.83923 + 3.18564i 0.0728159 + 0.126121i
\(639\) −1.34458 + 2.32888i −0.0531908 + 0.0921292i
\(640\) 137.986 238.998i 5.45437 9.44724i
\(641\) −37.4832 −1.48050 −0.740249 0.672333i \(-0.765293\pi\)
−0.740249 + 0.672333i \(0.765293\pi\)
\(642\) −8.77761 + 15.2033i −0.346424 + 0.600025i
\(643\) 7.12850 0.281121 0.140560 0.990072i \(-0.455110\pi\)
0.140560 + 0.990072i \(0.455110\pi\)
\(644\) 6.10176 0.240443
\(645\) 6.17933 4.20375i 0.243311 0.165523i
\(646\) 7.10803 0.279662
\(647\) 13.6327 0.535958 0.267979 0.963425i \(-0.413644\pi\)
0.267979 + 0.963425i \(0.413644\pi\)
\(648\) 44.0290 76.2604i 1.72962 2.99579i
\(649\) 6.71005 0.263393
\(650\) −26.4779 + 45.8611i −1.03855 + 1.79882i
\(651\) 0.0777195 0.134614i 0.00304607 0.00527594i
\(652\) −38.7018 67.0335i −1.51568 2.62524i
\(653\) −48.4798 −1.89716 −0.948581 0.316533i \(-0.897481\pi\)
−0.948581 + 0.316533i \(0.897481\pi\)
\(654\) −6.79099 11.7623i −0.265549 0.459944i
\(655\) −11.6782 + 20.2273i −0.456305 + 0.790344i
\(656\) 158.237 6.17813
\(657\) −14.9355 + 25.8691i −0.582691 + 1.00925i
\(658\) 49.0381 + 84.9365i 1.91170 + 3.31117i
\(659\) 19.9355 + 34.5293i 0.776577 + 1.34507i 0.933904 + 0.357524i \(0.116379\pi\)
−0.157327 + 0.987547i \(0.550288\pi\)
\(660\) 14.9320 + 25.8631i 0.581229 + 1.00672i
\(661\) −12.7136 −0.494503 −0.247251 0.968951i \(-0.579527\pi\)
−0.247251 + 0.968951i \(0.579527\pi\)
\(662\) −23.7049 41.0581i −0.921317 1.59577i
\(663\) 0.652177 + 1.12960i 0.0253285 + 0.0438702i
\(664\) 92.7848 160.708i 3.60075 6.23668i
\(665\) 12.5958 21.8166i 0.488446 0.846013i
\(666\) −56.3846 −2.18486
\(667\) −0.0966329 −0.00374164
\(668\) −15.8023 + 27.3704i −0.611410 + 1.05899i
\(669\) 0.620141 1.07412i 0.0239760 0.0415277i
\(670\) 13.4958 + 23.3754i 0.521389 + 0.903072i
\(671\) 3.53602 + 6.12457i 0.136507 + 0.236436i
\(672\) −37.2270 −1.43606
\(673\) 10.5064 + 18.1977i 0.404993 + 0.701468i 0.994321 0.106426i \(-0.0339406\pi\)
−0.589328 + 0.807894i \(0.700607\pi\)
\(674\) −11.0955 19.2180i −0.427384 0.740251i
\(675\) −5.40639 9.36414i −0.208092 0.360426i
\(676\) −0.863714 + 1.49600i −0.0332198 + 0.0575383i
\(677\) 32.3382 1.24286 0.621430 0.783470i \(-0.286552\pi\)
0.621430 + 0.783470i \(0.286552\pi\)
\(678\) −2.80080 + 4.85114i −0.107564 + 0.186307i
\(679\) −5.59206 9.68573i −0.214604 0.371704i
\(680\) 35.6675 1.36778
\(681\) −0.522797 0.905512i −0.0200336 0.0346993i
\(682\) −0.857294 + 1.48488i −0.0328275 + 0.0568589i
\(683\) −11.6250 + 20.1351i −0.444819 + 0.770449i −0.998040 0.0625857i \(-0.980065\pi\)
0.553221 + 0.833035i \(0.313399\pi\)
\(684\) −43.1559 −1.65011
\(685\) −12.1976 + 21.1268i −0.466045 + 0.807214i
\(686\) −36.6743 −1.40023
\(687\) −6.57821 −0.250974
\(688\) −9.50827 128.643i −0.362500 4.90448i
\(689\) 23.2509 0.885787
\(690\) −1.04748 −0.0398769
\(691\) −4.60975 + 7.98431i −0.175363 + 0.303738i −0.940287 0.340383i \(-0.889443\pi\)
0.764924 + 0.644121i \(0.222777\pi\)
\(692\) −113.139 −4.30089
\(693\) −19.8035 + 34.3006i −0.752271 + 1.30297i
\(694\) 16.2356 28.1208i 0.616294 1.06745i
\(695\) −2.04472 3.54156i −0.0775608 0.134339i
\(696\) 1.18900 0.0450689
\(697\) 4.02201 + 6.96633i 0.152345 + 0.263869i
\(698\) 47.9457 83.0444i 1.81477 3.14328i
\(699\) −7.75175 −0.293198
\(700\) 48.2212 83.5216i 1.82259 3.15682i
\(701\) −20.4869 35.4844i −0.773781 1.34023i −0.935477 0.353387i \(-0.885030\pi\)
0.161696 0.986841i \(-0.448304\pi\)
\(702\) −10.8093 18.7223i −0.407971 0.706627i
\(703\) 8.75793 + 15.1692i 0.330312 + 0.572117i
\(704\) 237.871 8.96512
\(705\) −6.30502 10.9206i −0.237461 0.411294i
\(706\) −14.6568 25.3862i −0.551614 0.955424i
\(707\) −8.11489 + 14.0554i −0.305192 + 0.528608i
\(708\) 1.63119 2.82530i 0.0613038 0.106181i
\(709\) 22.9753 0.862857 0.431428 0.902147i \(-0.358010\pi\)
0.431428 + 0.902147i \(0.358010\pi\)
\(710\) 8.41865 0.315946
\(711\) 19.7759 34.2529i 0.741655 1.28458i
\(712\) −70.0422 + 121.317i −2.62494 + 4.54654i
\(713\) −0.0225210 0.0390076i −0.000843420 0.00146085i
\(714\) −1.58583 2.74675i −0.0593484 0.102794i
\(715\) −50.9922 −1.90700
\(716\) −39.9670 69.2249i −1.49364 2.58706i
\(717\) 1.17724 + 2.03904i 0.0439648 + 0.0761492i
\(718\) 28.6888 + 49.6905i 1.07066 + 1.85443i
\(719\) 9.63663 16.6911i 0.359386 0.622474i −0.628473 0.777832i \(-0.716320\pi\)
0.987858 + 0.155357i \(0.0496529\pi\)
\(720\) −179.960 −6.70670
\(721\) 20.5688 35.6262i 0.766021 1.32679i
\(722\) −17.8647 30.9426i −0.664855 1.15156i
\(723\) −3.21594 −0.119602
\(724\) −23.2440 40.2598i −0.863858 1.49625i
\(725\) −0.763675 + 1.32272i −0.0283622 + 0.0491247i
\(726\) −4.18280 + 7.24482i −0.155238 + 0.268880i
\(727\) 25.8544 0.958886 0.479443 0.877573i \(-0.340839\pi\)
0.479443 + 0.877573i \(0.340839\pi\)
\(728\) 64.0968 111.019i 2.37559 4.11464i
\(729\) −20.3306 −0.752985
\(730\) 93.5138 3.46110
\(731\) 5.42178 3.68840i 0.200532 0.136420i
\(732\) 3.43838 0.127086
\(733\) −12.9458 −0.478165 −0.239082 0.970999i \(-0.576847\pi\)
−0.239082 + 0.970999i \(0.576847\pi\)
\(734\) −0.638679 + 1.10622i −0.0235741 + 0.0408315i
\(735\) −3.26270 −0.120347
\(736\) −5.39370 + 9.34216i −0.198814 + 0.344356i
\(737\) −6.59150 + 11.4168i −0.242801 + 0.420544i
\(738\) −32.6042 56.4721i −1.20018 2.07877i
\(739\) −11.5875 −0.426254 −0.213127 0.977025i \(-0.568365\pi\)
−0.213127 + 0.977025i \(0.568365\pi\)
\(740\) 66.1024 + 114.493i 2.42997 + 4.20884i
\(741\) −1.64235 + 2.84464i −0.0603333 + 0.104500i
\(742\) −56.5368 −2.07553
\(743\) 13.7149 23.7549i 0.503151 0.871483i −0.496843 0.867841i \(-0.665507\pi\)
0.999993 0.00364204i \(-0.00115930\pi\)
\(744\) 0.277106 + 0.479961i 0.0101592 + 0.0175962i
\(745\) 22.4716 + 38.9219i 0.823295 + 1.42599i
\(746\) −31.7670 55.0220i −1.16307 2.01450i
\(747\) −47.5964 −1.74146
\(748\) 13.1015 + 22.6924i 0.479037 + 0.829716i
\(749\) 27.2951 + 47.2765i 0.997341 + 1.72745i
\(750\) −0.235638 + 0.408136i −0.00860427 + 0.0149030i
\(751\) 18.8035 32.5686i 0.686150 1.18845i −0.286924 0.957953i \(-0.592633\pi\)
0.973074 0.230493i \(-0.0740340\pi\)
\(752\) −217.647 −7.93677
\(753\) 8.21519 0.299378
\(754\) −1.52686 + 2.64460i −0.0556050 + 0.0963106i
\(755\) −7.53652 + 13.0536i −0.274282 + 0.475070i
\(756\) 19.6858 + 34.0968i 0.715964 + 1.24009i
\(757\) 1.56322 + 2.70757i 0.0568162 + 0.0984085i 0.893035 0.449988i \(-0.148572\pi\)
−0.836218 + 0.548397i \(0.815238\pi\)
\(758\) 5.52403 0.200642
\(759\) −0.255800 0.443059i −0.00928496 0.0160820i
\(760\) 44.9100 + 77.7864i 1.62906 + 2.82161i
\(761\) 2.25141 + 3.89955i 0.0816135 + 0.141359i 0.903943 0.427653i \(-0.140659\pi\)
−0.822330 + 0.569011i \(0.807326\pi\)
\(762\) 1.11207 1.92616i 0.0402859 0.0697773i
\(763\) −42.2349 −1.52901
\(764\) 39.5236 68.4569i 1.42991 2.47668i
\(765\) −4.57414 7.92264i −0.165378 0.286444i
\(766\) −3.36291 −0.121507
\(767\) 2.78521 + 4.82413i 0.100568 + 0.174189i
\(768\) 24.3671 42.2050i