Properties

Label 74.4.f.a.7.1
Level $74$
Weight $4$
Character 74.7
Analytic conductor $4.366$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 74.7
Dual form 74.4.f.a.53.1

$q$-expansion

\(f(q)\) \(=\) \(q+(1.87939 - 0.684040i) q^{2} +(-4.40012 - 1.60151i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-0.0856491 - 0.485740i) q^{5} -9.36501 q^{6} +(-4.85295 - 27.5224i) q^{7} +(4.00000 - 6.92820i) q^{8} +(-3.88702 - 3.26159i) q^{9} +O(q^{10})\) \(q+(1.87939 - 0.684040i) q^{2} +(-4.40012 - 1.60151i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-0.0856491 - 0.485740i) q^{5} -9.36501 q^{6} +(-4.85295 - 27.5224i) q^{7} +(4.00000 - 6.92820i) q^{8} +(-3.88702 - 3.26159i) q^{9} +(-0.493234 - 0.854306i) q^{10} +(14.3294 - 24.8193i) q^{11} +(-17.6005 + 6.40605i) q^{12} +(-32.8237 + 27.5424i) q^{13} +(-27.9470 - 48.4056i) q^{14} +(-0.401052 + 2.27448i) q^{15} +(2.77837 - 15.7569i) q^{16} +(-34.3208 - 28.7986i) q^{17} +(-9.53626 - 3.47092i) q^{18} +(146.256 + 53.2327i) q^{19} +(-1.51136 - 1.26818i) q^{20} +(-22.7239 + 128.874i) q^{21} +(9.95313 - 56.4470i) q^{22} +(17.3086 + 29.9795i) q^{23} +(-28.6961 + 24.0789i) q^{24} +(117.233 - 42.6693i) q^{25} +(-42.8484 + 74.2155i) q^{26} +(75.0937 + 130.066i) q^{27} +(-85.6346 - 71.8559i) q^{28} +(-4.83096 + 8.36746i) q^{29} +(0.802105 + 4.54896i) q^{30} +9.17583 q^{31} +(-5.55674 - 31.5138i) q^{32} +(-102.800 + 86.2592i) q^{33} +(-84.2014 - 30.6468i) q^{34} +(-12.9531 + 4.71454i) q^{35} -20.2966 q^{36} +(-74.8199 - 212.262i) q^{37} +311.284 q^{38} +(188.538 - 68.6221i) q^{39} +(-3.70790 - 1.34957i) q^{40} +(-7.15149 + 6.00082i) q^{41} +(45.4479 + 257.748i) q^{42} -87.8577 q^{43} +(-19.9063 - 112.894i) q^{44} +(-1.25137 + 2.16743i) q^{45} +(53.0368 + 44.5031i) q^{46} +(125.517 + 217.402i) q^{47} +(-37.4600 + 64.8827i) q^{48} +(-411.618 + 149.817i) q^{49} +(191.138 - 160.384i) q^{50} +(104.894 + 181.682i) q^{51} +(-29.7622 + 168.790i) q^{52} +(-77.0389 + 436.909i) q^{53} +(230.100 + 193.077i) q^{54} +(-13.2831 - 4.83464i) q^{55} +(-210.093 - 76.4675i) q^{56} +(-558.289 - 468.460i) q^{57} +(-3.35555 + 19.0302i) q^{58} +(136.649 - 774.976i) q^{59} +(4.61914 + 8.00058i) q^{60} +(598.617 - 502.299i) q^{61} +(17.2449 - 6.27664i) q^{62} +(-70.9035 + 122.808i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(16.1898 + 13.5848i) q^{65} +(-134.195 + 232.433i) q^{66} +(-122.785 - 696.350i) q^{67} -179.211 q^{68} +(-28.1476 - 159.633i) q^{69} +(-21.1189 + 17.7209i) q^{70} +(156.029 + 56.7899i) q^{71} +(-38.1451 + 13.8837i) q^{72} -427.610 q^{73} +(-285.811 - 347.741i) q^{74} -584.174 q^{75} +(585.023 - 212.931i) q^{76} +(-752.628 - 273.934i) q^{77} +(307.395 - 257.935i) q^{78} +(-87.9191 - 498.614i) q^{79} -7.89174 q^{80} +(-98.3285 - 557.649i) q^{81} +(-9.33561 + 16.1698i) q^{82} +(824.627 + 691.944i) q^{83} +(261.724 + 453.319i) q^{84} +(-11.0491 + 19.1376i) q^{85} +(-165.118 + 60.0982i) q^{86} +(34.6573 - 29.0810i) q^{87} +(-114.636 - 198.555i) q^{88} +(-134.023 + 760.082i) q^{89} +(-0.869191 + 4.92943i) q^{90} +(917.325 + 769.727i) q^{91} +(130.118 + 47.3592i) q^{92} +(-40.3747 - 14.6952i) q^{93} +(384.606 + 322.723i) q^{94} +(13.3306 - 75.6016i) q^{95} +(-26.0195 + 147.564i) q^{96} +(100.542 + 174.143i) q^{97} +(-671.108 + 563.127i) q^{98} +(-136.649 + 49.7363i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9} + 6 q^{10} + 87 q^{11} + 24 q^{12} - 45 q^{13} + 6 q^{14} - 141 q^{15} + 120 q^{17} - 192 q^{18} - 177 q^{19} - 36 q^{20} + 159 q^{21} - 42 q^{22} + 45 q^{23} - 48 q^{24} - 321 q^{25} + 150 q^{26} + 435 q^{27} + 96 q^{28} - 153 q^{29} + 282 q^{30} + 1002 q^{31} - 210 q^{33} - 456 q^{34} + 3 q^{35} + 216 q^{36} - 1239 q^{37} + 780 q^{38} - 474 q^{39} - 144 q^{40} - 1437 q^{41} - 318 q^{42} + 504 q^{43} + 84 q^{44} - 171 q^{45} + 714 q^{46} + 396 q^{47} + 144 q^{48} + 399 q^{49} - 1212 q^{50} - 972 q^{51} + 504 q^{52} + 1173 q^{53} + 360 q^{54} + 1755 q^{55} - 408 q^{56} - 3525 q^{57} + 24 q^{58} + 1260 q^{59} - 108 q^{60} + 2946 q^{61} - 1380 q^{62} + 2514 q^{63} - 768 q^{64} + 1599 q^{65} - 252 q^{66} - 645 q^{67} + 1200 q^{68} - 5037 q^{69} - 366 q^{70} - 753 q^{71} - 768 q^{72} - 876 q^{73} - 1338 q^{74} + 6960 q^{75} - 708 q^{76} + 1197 q^{77} - 1590 q^{78} - 3276 q^{79} + 96 q^{80} + 36 q^{81} - 216 q^{82} - 1110 q^{83} + 504 q^{84} + 1992 q^{85} - 192 q^{86} + 1125 q^{87} - 696 q^{88} + 3045 q^{89} + 4590 q^{90} + 5046 q^{91} + 2604 q^{92} - 4917 q^{93} + 78 q^{94} + 2274 q^{95} + 384 q^{96} - 624 q^{97} + 1902 q^{98} - 5904 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.87939 0.684040i 0.664463 0.241845i
\(3\) −4.40012 1.60151i −0.846803 0.308211i −0.118067 0.993006i \(-0.537670\pi\)
−0.728736 + 0.684795i \(0.759892\pi\)
\(4\) 3.06418 2.57115i 0.383022 0.321394i
\(5\) −0.0856491 0.485740i −0.00766069 0.0434459i 0.980738 0.195329i \(-0.0625774\pi\)
−0.988398 + 0.151883i \(0.951466\pi\)
\(6\) −9.36501 −0.637208
\(7\) −4.85295 27.5224i −0.262034 1.48607i −0.777349 0.629070i \(-0.783436\pi\)
0.515314 0.857001i \(-0.327675\pi\)
\(8\) 4.00000 6.92820i 0.176777 0.306186i
\(9\) −3.88702 3.26159i −0.143964 0.120800i
\(10\) −0.493234 0.854306i −0.0155974 0.0270155i
\(11\) 14.3294 24.8193i 0.392772 0.680301i −0.600042 0.799968i \(-0.704850\pi\)
0.992814 + 0.119667i \(0.0381828\pi\)
\(12\) −17.6005 + 6.40605i −0.423401 + 0.154105i
\(13\) −32.8237 + 27.5424i −0.700282 + 0.587607i −0.921854 0.387538i \(-0.873326\pi\)
0.221572 + 0.975144i \(0.428881\pi\)
\(14\) −27.9470 48.4056i −0.533511 0.924068i
\(15\) −0.401052 + 2.27448i −0.00690342 + 0.0391512i
\(16\) 2.77837 15.7569i 0.0434120 0.246202i
\(17\) −34.3208 28.7986i −0.489648 0.410864i 0.364252 0.931300i \(-0.381325\pi\)
−0.853900 + 0.520437i \(0.825769\pi\)
\(18\) −9.53626 3.47092i −0.124873 0.0454502i
\(19\) 146.256 + 53.2327i 1.76597 + 0.642759i 1.00000 0.000121544i \(-3.86885e-5\pi\)
0.765966 + 0.642881i \(0.222261\pi\)
\(20\) −1.51136 1.26818i −0.0168975 0.0141787i
\(21\) −22.7239 + 128.874i −0.236132 + 1.33917i
\(22\) 9.95313 56.4470i 0.0964552 0.547025i
\(23\) 17.3086 + 29.9795i 0.156917 + 0.271789i 0.933756 0.357911i \(-0.116511\pi\)
−0.776838 + 0.629700i \(0.783178\pi\)
\(24\) −28.6961 + 24.0789i −0.244065 + 0.204795i
\(25\) 117.233 42.6693i 0.937864 0.341354i
\(26\) −42.8484 + 74.2155i −0.323202 + 0.559802i
\(27\) 75.0937 + 130.066i 0.535251 + 0.927082i
\(28\) −85.6346 71.8559i −0.577979 0.484982i
\(29\) −4.83096 + 8.36746i −0.0309340 + 0.0535792i −0.881078 0.472971i \(-0.843182\pi\)
0.850144 + 0.526550i \(0.176515\pi\)
\(30\) 0.802105 + 4.54896i 0.00488146 + 0.0276841i
\(31\) 9.17583 0.0531622 0.0265811 0.999647i \(-0.491538\pi\)
0.0265811 + 0.999647i \(0.491538\pi\)
\(32\) −5.55674 31.5138i −0.0306970 0.174091i
\(33\) −102.800 + 86.2592i −0.542277 + 0.455024i
\(34\) −84.2014 30.6468i −0.424718 0.154585i
\(35\) −12.9531 + 4.71454i −0.0625564 + 0.0227687i
\(36\) −20.2966 −0.0939656
\(37\) −74.8199 212.262i −0.332441 0.943124i
\(38\) 311.284 1.32887
\(39\) 188.538 68.6221i 0.774108 0.281752i
\(40\) −3.70790 1.34957i −0.0146568 0.00533463i
\(41\) −7.15149 + 6.00082i −0.0272409 + 0.0228578i −0.656306 0.754494i \(-0.727882\pi\)
0.629066 + 0.777352i \(0.283438\pi\)
\(42\) 45.4479 + 257.748i 0.166971 + 0.946937i
\(43\) −87.8577 −0.311585 −0.155793 0.987790i \(-0.549793\pi\)
−0.155793 + 0.987790i \(0.549793\pi\)
\(44\) −19.9063 112.894i −0.0682041 0.386805i
\(45\) −1.25137 + 2.16743i −0.00414540 + 0.00718004i
\(46\) 53.0368 + 44.5031i 0.169997 + 0.142644i
\(47\) 125.517 + 217.402i 0.389543 + 0.674709i 0.992388 0.123150i \(-0.0392996\pi\)
−0.602845 + 0.797858i \(0.705966\pi\)
\(48\) −37.4600 + 64.8827i −0.112644 + 0.195104i
\(49\) −411.618 + 149.817i −1.20005 + 0.436783i
\(50\) 191.138 160.384i 0.540621 0.453635i
\(51\) 104.894 + 181.682i 0.288003 + 0.498835i
\(52\) −29.7622 + 168.790i −0.0793705 + 0.450133i
\(53\) −77.0389 + 436.909i −0.199662 + 1.13234i 0.705958 + 0.708253i \(0.250516\pi\)
−0.905621 + 0.424088i \(0.860595\pi\)
\(54\) 230.100 + 193.077i 0.579865 + 0.486564i
\(55\) −13.2831 4.83464i −0.0325652 0.0118528i
\(56\) −210.093 76.4675i −0.501336 0.182471i
\(57\) −558.289 468.460i −1.29732 1.08858i
\(58\) −3.35555 + 19.0302i −0.00759663 + 0.0430827i
\(59\) 136.649 774.976i 0.301529 1.71006i −0.337880 0.941189i \(-0.609710\pi\)
0.639409 0.768867i \(-0.279179\pi\)
\(60\) 4.61914 + 8.00058i 0.00993880 + 0.0172145i
\(61\) 598.617 502.299i 1.25648 1.05431i 0.260428 0.965493i \(-0.416136\pi\)
0.996048 0.0888158i \(-0.0283082\pi\)
\(62\) 17.2449 6.27664i 0.0353243 0.0128570i
\(63\) −70.9035 + 122.808i −0.141794 + 0.245594i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) 16.1898 + 13.5848i 0.0308938 + 0.0259229i
\(66\) −134.195 + 232.433i −0.250278 + 0.433493i
\(67\) −122.785 696.350i −0.223890 1.26974i −0.864796 0.502123i \(-0.832552\pi\)
0.640907 0.767619i \(-0.278559\pi\)
\(68\) −179.211 −0.319595
\(69\) −28.1476 159.633i −0.0491098 0.278515i
\(70\) −21.1189 + 17.7209i −0.0360599 + 0.0302579i
\(71\) 156.029 + 56.7899i 0.260806 + 0.0949257i 0.469114 0.883138i \(-0.344573\pi\)
−0.208308 + 0.978063i \(0.566796\pi\)
\(72\) −38.1451 + 13.8837i −0.0624366 + 0.0227251i
\(73\) −427.610 −0.685588 −0.342794 0.939411i \(-0.611373\pi\)
−0.342794 + 0.939411i \(0.611373\pi\)
\(74\) −285.811 347.741i −0.448984 0.546272i
\(75\) −584.174 −0.899395
\(76\) 585.023 212.931i 0.882983 0.321380i
\(77\) −752.628 273.934i −1.11390 0.405425i
\(78\) 307.395 257.935i 0.446226 0.374428i
\(79\) −87.9191 498.614i −0.125211 0.710107i −0.981182 0.193083i \(-0.938151\pi\)
0.855971 0.517023i \(-0.172960\pi\)
\(80\) −7.89174 −0.0110290
\(81\) −98.3285 557.649i −0.134881 0.764950i
\(82\) −9.33561 + 16.1698i −0.0125725 + 0.0217762i
\(83\) 824.627 + 691.944i 1.09054 + 0.915069i 0.996753 0.0805234i \(-0.0256592\pi\)
0.0937843 + 0.995593i \(0.470104\pi\)
\(84\) 261.724 + 453.319i 0.339957 + 0.588824i
\(85\) −11.0491 + 19.1376i −0.0140993 + 0.0244207i
\(86\) −165.118 + 60.0982i −0.207037 + 0.0753553i
\(87\) 34.6573 29.0810i 0.0427087 0.0358369i
\(88\) −114.636 198.555i −0.138866 0.240523i
\(89\) −134.023 + 760.082i −0.159623 + 0.905264i 0.794815 + 0.606852i \(0.207568\pi\)
−0.954437 + 0.298412i \(0.903543\pi\)
\(90\) −0.869191 + 4.92943i −0.00101801 + 0.00577342i
\(91\) 917.325 + 769.727i 1.05672 + 0.886696i
\(92\) 130.118 + 47.3592i 0.147454 + 0.0536689i
\(93\) −40.3747 14.6952i −0.0450179 0.0163852i
\(94\) 384.606 + 322.723i 0.422012 + 0.354110i
\(95\) 13.3306 75.6016i 0.0143968 0.0816480i
\(96\) −26.0195 + 147.564i −0.0276625 + 0.156882i
\(97\) 100.542 + 174.143i 0.105242 + 0.182284i 0.913837 0.406081i \(-0.133105\pi\)
−0.808595 + 0.588365i \(0.799772\pi\)
\(98\) −671.108 + 563.127i −0.691757 + 0.580453i
\(99\) −136.649 + 49.7363i −0.138725 + 0.0504918i
\(100\) 249.513 432.170i 0.249513 0.432170i
\(101\) 692.984 + 1200.28i 0.682717 + 1.18250i 0.974148 + 0.225909i \(0.0725353\pi\)
−0.291431 + 0.956592i \(0.594131\pi\)
\(102\) 321.415 + 269.699i 0.312008 + 0.261806i
\(103\) 51.3295 88.9053i 0.0491033 0.0850495i −0.840429 0.541922i \(-0.817697\pi\)
0.889532 + 0.456872i \(0.151030\pi\)
\(104\) 59.5243 + 337.579i 0.0561235 + 0.318292i
\(105\) 64.5455 0.0599905
\(106\) 154.078 + 873.818i 0.141183 + 0.800686i
\(107\) 221.639 185.977i 0.200249 0.168029i −0.537149 0.843487i \(-0.680499\pi\)
0.737398 + 0.675459i \(0.236054\pi\)
\(108\) 564.520 + 205.468i 0.502972 + 0.183067i
\(109\) 19.1459 6.96855i 0.0168243 0.00612354i −0.333594 0.942717i \(-0.608262\pi\)
0.350419 + 0.936593i \(0.386039\pi\)
\(110\) −28.2711 −0.0245049
\(111\) −10.7229 + 1053.80i −0.00916908 + 0.901102i
\(112\) −447.152 −0.377249
\(113\) −474.594 + 172.738i −0.395098 + 0.143804i −0.531926 0.846791i \(-0.678531\pi\)
0.136828 + 0.990595i \(0.456309\pi\)
\(114\) −1369.69 498.525i −1.12529 0.409571i
\(115\) 13.0798 10.9752i 0.0106060 0.00889952i
\(116\) 6.71109 + 38.0605i 0.00537163 + 0.0304640i
\(117\) 217.419 0.171798
\(118\) −273.298 1549.95i −0.213213 1.20919i
\(119\) −626.050 + 1084.35i −0.482268 + 0.835312i
\(120\) 14.1539 + 11.8765i 0.0107672 + 0.00903476i
\(121\) 254.834 + 441.385i 0.191460 + 0.331619i
\(122\) 781.439 1353.49i 0.579903 1.00442i
\(123\) 41.0778 14.9511i 0.0301127 0.0109601i
\(124\) 28.1164 23.5924i 0.0203623 0.0170860i
\(125\) −61.5942 106.684i −0.0440732 0.0763371i
\(126\) −49.2491 + 279.305i −0.0348211 + 0.197480i
\(127\) 18.6215 105.608i 0.0130110 0.0737889i −0.977611 0.210421i \(-0.932517\pi\)
0.990622 + 0.136632i \(0.0436277\pi\)
\(128\) −98.0537 82.2768i −0.0677094 0.0568149i
\(129\) 386.584 + 140.705i 0.263851 + 0.0960341i
\(130\) 39.7194 + 14.4567i 0.0267971 + 0.00975334i
\(131\) 2037.83 + 1709.94i 1.35913 + 1.14044i 0.976250 + 0.216646i \(0.0695117\pi\)
0.382879 + 0.923799i \(0.374933\pi\)
\(132\) −93.2112 + 528.627i −0.0614621 + 0.348569i
\(133\) 755.322 4283.65i 0.492442 2.79278i
\(134\) −707.092 1224.72i −0.455847 0.789550i
\(135\) 56.7466 47.6161i 0.0361776 0.0303566i
\(136\) −336.806 + 122.587i −0.212359 + 0.0772924i
\(137\) −1107.88 + 1918.90i −0.690892 + 1.19666i 0.280654 + 0.959809i \(0.409449\pi\)
−0.971546 + 0.236851i \(0.923885\pi\)
\(138\) −162.096 280.758i −0.0999891 0.173186i
\(139\) −2093.62 1756.76i −1.27755 1.07199i −0.993577 0.113154i \(-0.963905\pi\)
−0.283968 0.958834i \(-0.591651\pi\)
\(140\) −27.5688 + 47.7506i −0.0166428 + 0.0288261i
\(141\) −204.118 1157.61i −0.121914 0.691407i
\(142\) 332.085 0.196253
\(143\) 213.238 + 1209.33i 0.124698 + 0.707198i
\(144\) −62.1923 + 52.1855i −0.0359909 + 0.0302000i
\(145\) 4.47818 + 1.62992i 0.00256478 + 0.000933502i
\(146\) −803.643 + 292.502i −0.455548 + 0.165806i
\(147\) 2051.10 1.15083
\(148\) −775.018 458.034i −0.430447 0.254393i
\(149\) −2749.16 −1.51154 −0.755771 0.654836i \(-0.772738\pi\)
−0.755771 + 0.654836i \(0.772738\pi\)
\(150\) −1097.89 + 399.599i −0.597615 + 0.217514i
\(151\) 2634.61 + 958.921i 1.41988 + 0.516794i 0.934013 0.357240i \(-0.116282\pi\)
0.485866 + 0.874033i \(0.338504\pi\)
\(152\) 953.830 800.358i 0.508986 0.427090i
\(153\) 39.4763 + 223.881i 0.0208593 + 0.118299i
\(154\) −1601.86 −0.838192
\(155\) −0.785902 4.45707i −0.000407259 0.00230968i
\(156\) 401.275 695.029i 0.205947 0.356711i
\(157\) 1042.61 + 874.852i 0.529995 + 0.444718i 0.868100 0.496390i \(-0.165341\pi\)
−0.338105 + 0.941108i \(0.609786\pi\)
\(158\) −506.306 876.947i −0.254934 0.441558i
\(159\) 1038.70 1799.07i 0.518075 0.897332i
\(160\) −14.8316 + 5.39827i −0.00732839 + 0.00266732i
\(161\) 741.109 621.864i 0.362780 0.304409i
\(162\) −566.251 980.776i −0.274623 0.475661i
\(163\) 559.649 3173.93i 0.268927 1.52516i −0.488689 0.872458i \(-0.662525\pi\)
0.757615 0.652701i \(-0.226364\pi\)
\(164\) −6.48445 + 36.7751i −0.00308750 + 0.0175101i
\(165\) 50.7043 + 42.5459i 0.0239232 + 0.0200739i
\(166\) 2023.11 + 736.352i 0.945926 + 0.344289i
\(167\) −1786.48 650.224i −0.827794 0.301292i −0.106841 0.994276i \(-0.534074\pi\)
−0.720953 + 0.692984i \(0.756296\pi\)
\(168\) 801.969 + 672.932i 0.368293 + 0.309035i
\(169\) −62.6902 + 355.534i −0.0285344 + 0.161827i
\(170\) −7.67461 + 43.5249i −0.00346245 + 0.0196365i
\(171\) −394.875 683.943i −0.176590 0.305862i
\(172\) −269.212 + 225.895i −0.119344 + 0.100142i
\(173\) −2737.46 + 996.352i −1.20303 + 0.437869i −0.864282 0.503007i \(-0.832227\pi\)
−0.338752 + 0.940876i \(0.610005\pi\)
\(174\) 45.2419 78.3614i 0.0197114 0.0341411i
\(175\) −1743.29 3019.46i −0.753030 1.30429i
\(176\) −351.264 294.745i −0.150440 0.126234i
\(177\) −1842.41 + 3191.14i −0.782394 + 1.35515i
\(178\) 268.046 + 1520.16i 0.112870 + 0.640119i
\(179\) 3060.50 1.27795 0.638974 0.769229i \(-0.279359\pi\)
0.638974 + 0.769229i \(0.279359\pi\)
\(180\) 1.73838 + 9.85886i 0.000719841 + 0.00408242i
\(181\) 207.863 174.418i 0.0853609 0.0716263i −0.599109 0.800668i \(-0.704478\pi\)
0.684470 + 0.729041i \(0.260034\pi\)
\(182\) 2250.53 + 819.127i 0.916596 + 0.333614i
\(183\) −3438.42 + 1251.48i −1.38894 + 0.505532i
\(184\) 276.938 0.110957
\(185\) −96.6957 + 54.5231i −0.0384282 + 0.0216682i
\(186\) −85.9318 −0.0338754
\(187\) −1206.56 + 439.152i −0.471831 + 0.171732i
\(188\) 943.579 + 343.435i 0.366051 + 0.133232i
\(189\) 3215.31 2697.96i 1.23746 1.03835i
\(190\) −26.6612 151.203i −0.0101800 0.0577339i
\(191\) −4003.63 −1.51671 −0.758357 0.651839i \(-0.773998\pi\)
−0.758357 + 0.651839i \(0.773998\pi\)
\(192\) 52.0389 + 295.128i 0.0195604 + 0.110932i
\(193\) −566.875 + 981.857i −0.211423 + 0.366195i −0.952160 0.305600i \(-0.901143\pi\)
0.740737 + 0.671795i \(0.234476\pi\)
\(194\) 308.077 + 258.508i 0.114014 + 0.0956689i
\(195\) −49.4806 85.7030i −0.0181712 0.0314734i
\(196\) −876.069 + 1517.40i −0.319267 + 0.552987i
\(197\) −791.397 + 288.045i −0.286217 + 0.104174i −0.481139 0.876644i \(-0.659777\pi\)
0.194922 + 0.980819i \(0.437555\pi\)
\(198\) −222.795 + 186.947i −0.0799665 + 0.0670999i
\(199\) 2455.59 + 4253.21i 0.874735 + 1.51508i 0.857045 + 0.515241i \(0.172298\pi\)
0.0176896 + 0.999844i \(0.494369\pi\)
\(200\) 173.310 982.891i 0.0612744 0.347504i
\(201\) −574.943 + 3260.66i −0.201758 + 1.14423i
\(202\) 2123.43 + 1781.77i 0.739622 + 0.620617i
\(203\) 253.737 + 92.3528i 0.0877283 + 0.0319305i
\(204\) 788.547 + 287.008i 0.270634 + 0.0985028i
\(205\) 3.52736 + 2.95980i 0.00120176 + 0.00100840i
\(206\) 35.6531 202.199i 0.0120586 0.0683876i
\(207\) 30.5018 172.984i 0.0102417 0.0580833i
\(208\) 342.787 + 593.724i 0.114269 + 0.197920i
\(209\) 3416.96 2867.17i 1.13089 0.948931i
\(210\) 121.306 44.1517i 0.0398614 0.0145084i
\(211\) 1372.18 2376.69i 0.447701 0.775440i −0.550535 0.834812i \(-0.685576\pi\)
0.998236 + 0.0593716i \(0.0189097\pi\)
\(212\) 887.299 + 1536.85i 0.287452 + 0.497882i
\(213\) −595.596 499.765i −0.191594 0.160767i
\(214\) 289.329 501.132i 0.0924211 0.160078i
\(215\) 7.52494 + 42.6760i 0.00238696 + 0.0135371i
\(216\) 1201.50 0.378480
\(217\) −44.5298 252.541i −0.0139303 0.0790028i
\(218\) 31.2158 26.1932i 0.00969817 0.00813773i
\(219\) 1881.53 + 684.821i 0.580558 + 0.211306i
\(220\) −53.1322 + 19.3385i −0.0162826 + 0.00592638i
\(221\) 1919.72 0.584318
\(222\) 700.690 + 1987.83i 0.211834 + 0.600966i
\(223\) −2861.70 −0.859343 −0.429671 0.902985i \(-0.641371\pi\)
−0.429671 + 0.902985i \(0.641371\pi\)
\(224\) −840.371 + 305.870i −0.250668 + 0.0912357i
\(225\) −594.857 216.510i −0.176254 0.0641511i
\(226\) −773.785 + 649.283i −0.227750 + 0.191105i
\(227\) −221.897 1258.44i −0.0648801 0.367954i −0.999910 0.0133857i \(-0.995739\pi\)
0.935030 0.354568i \(-0.115372\pi\)
\(228\) −2915.18 −0.846765
\(229\) −111.426 631.930i −0.0321540 0.182354i 0.964501 0.264079i \(-0.0850681\pi\)
−0.996655 + 0.0817252i \(0.973957\pi\)
\(230\) 17.0744 29.5737i 0.00489501 0.00847841i
\(231\) 2872.94 + 2410.68i 0.818293 + 0.686630i
\(232\) 38.6476 + 66.9397i 0.0109368 + 0.0189431i
\(233\) 940.535 1629.05i 0.264448 0.458038i −0.702971 0.711219i \(-0.748143\pi\)
0.967419 + 0.253181i \(0.0814768\pi\)
\(234\) 408.613 148.723i 0.114153 0.0415484i
\(235\) 94.8504 79.5889i 0.0263292 0.0220928i
\(236\) −1573.86 2726.01i −0.434109 0.751899i
\(237\) −411.681 + 2334.76i −0.112834 + 0.639912i
\(238\) −434.850 + 2466.15i −0.118433 + 0.671668i
\(239\) −2655.50 2228.23i −0.718703 0.603064i 0.208323 0.978060i \(-0.433199\pi\)
−0.927026 + 0.374997i \(0.877644\pi\)
\(240\) 34.7246 + 12.6387i 0.00933942 + 0.00339927i
\(241\) 3896.09 + 1418.06i 1.04137 + 0.379026i 0.805398 0.592734i \(-0.201952\pi\)
0.235968 + 0.971761i \(0.424174\pi\)
\(242\) 780.856 + 655.216i 0.207419 + 0.174045i
\(243\) 243.730 1382.26i 0.0643427 0.364905i
\(244\) 542.782 3078.27i 0.142410 0.807647i
\(245\) 108.027 + 187.108i 0.0281697 + 0.0487913i
\(246\) 66.9738 56.1977i 0.0173581 0.0145652i
\(247\) −6266.82 + 2280.93i −1.61436 + 0.587581i
\(248\) 36.7033 63.5720i 0.00939784 0.0162775i
\(249\) −2520.30 4365.28i −0.641435 1.11100i
\(250\) −188.736 158.368i −0.0477467 0.0400643i
\(251\) −3101.40 + 5371.78i −0.779915 + 1.35085i 0.152075 + 0.988369i \(0.451404\pi\)
−0.931990 + 0.362483i \(0.881929\pi\)
\(252\) 98.4981 + 558.610i 0.0246222 + 0.139639i
\(253\) 992.093 0.246531
\(254\) −37.2430 211.216i −0.00920014 0.0521766i
\(255\) 79.2663 66.5123i 0.0194661 0.0163340i
\(256\) −240.561 87.5572i −0.0587308 0.0213763i
\(257\) 6718.46 2445.32i 1.63068 0.593520i 0.645309 0.763921i \(-0.276729\pi\)
0.985375 + 0.170401i \(0.0545063\pi\)
\(258\) 822.788 0.198545
\(259\) −5478.86 + 3089.32i −1.31444 + 0.741162i
\(260\) 84.5370 0.0201645
\(261\) 46.0693 16.7678i 0.0109257 0.00397664i
\(262\) 4999.53 + 1819.68i 1.17890 + 0.429085i
\(263\) 2458.71 2063.10i 0.576465 0.483712i −0.307319 0.951607i \(-0.599432\pi\)
0.883784 + 0.467895i \(0.154987\pi\)
\(264\) 186.422 + 1057.25i 0.0434602 + 0.246475i
\(265\) 218.823 0.0507252
\(266\) −1510.64 8567.29i −0.348209 1.97479i
\(267\) 1807.00 3129.81i 0.414181 0.717383i
\(268\) −2166.66 1818.04i −0.493842 0.414383i
\(269\) 3260.92 + 5648.08i 0.739115 + 1.28018i 0.952894 + 0.303303i \(0.0980894\pi\)
−0.213779 + 0.976882i \(0.568577\pi\)
\(270\) 74.0774 128.306i 0.0166971 0.0289202i
\(271\) −6400.76 + 2329.69i −1.43475 + 0.522208i −0.938290 0.345849i \(-0.887591\pi\)
−0.496464 + 0.868057i \(0.665369\pi\)
\(272\) −549.133 + 460.777i −0.122412 + 0.102716i
\(273\) −2803.61 4856.00i −0.621547 1.07655i
\(274\) −769.523 + 4364.18i −0.169666 + 0.962225i
\(275\) 620.860 3521.07i 0.136143 0.772104i
\(276\) −496.690 416.772i −0.108323 0.0908940i
\(277\) 745.696 + 271.411i 0.161749 + 0.0588719i 0.421626 0.906770i \(-0.361460\pi\)
−0.259876 + 0.965642i \(0.583682\pi\)
\(278\) −5136.42 1869.50i −1.10814 0.403329i
\(279\) −35.6666 29.9278i −0.00765342 0.00642198i
\(280\) −19.1491 + 108.600i −0.00408706 + 0.0231789i
\(281\) 509.919 2891.89i 0.108253 0.613936i −0.881617 0.471965i \(-0.843545\pi\)
0.989871 0.141971i \(-0.0453439\pi\)
\(282\) −1175.47 2035.97i −0.248220 0.429930i
\(283\) −1957.19 + 1642.28i −0.411106 + 0.344959i −0.824768 0.565472i \(-0.808694\pi\)
0.413661 + 0.910431i \(0.364250\pi\)
\(284\) 624.116 227.160i 0.130403 0.0474629i
\(285\) −179.733 + 311.307i −0.0373560 + 0.0647025i
\(286\) 1227.99 + 2126.94i 0.253889 + 0.439749i
\(287\) 199.863 + 167.705i 0.0411064 + 0.0344923i
\(288\) −81.1862 + 140.619i −0.0166109 + 0.0287710i
\(289\) −504.574 2861.58i −0.102702 0.582450i
\(290\) 9.53116 0.00192996
\(291\) −163.502 927.269i −0.0329371 0.186795i
\(292\) −1310.27 + 1099.45i −0.262595 + 0.220344i
\(293\) 6676.70 + 2430.12i 1.33125 + 0.484536i 0.907047 0.421030i \(-0.138331\pi\)
0.424205 + 0.905566i \(0.360554\pi\)
\(294\) 3854.81 1403.03i 0.764683 0.278322i
\(295\) −388.141 −0.0766049
\(296\) −1769.87 330.678i −0.347539 0.0649334i
\(297\) 4304.20 0.840927
\(298\) −5166.72 + 1880.53i −1.00436 + 0.365558i
\(299\) −1393.84 507.316i −0.269592 0.0981233i
\(300\) −1790.01 + 1502.00i −0.344488 + 0.289060i
\(301\) 426.369 + 2418.06i 0.0816461 + 0.463038i
\(302\) 5607.39 1.06844
\(303\) −1126.94 6391.21i −0.213667 1.21177i
\(304\) 1245.14 2156.64i 0.234913 0.406881i
\(305\) −295.258 247.751i −0.0554309 0.0465121i
\(306\) 227.335 + 393.756i 0.0424702 + 0.0735605i
\(307\) 1670.66 2893.66i 0.310584 0.537948i −0.667905 0.744247i \(-0.732809\pi\)
0.978489 + 0.206299i \(0.0661419\pi\)
\(308\) −3010.51 + 1095.74i −0.556948 + 0.202712i
\(309\) −368.238 + 308.989i −0.0677940 + 0.0568859i
\(310\) −4.52583 7.83897i −0.000829193 0.00143620i
\(311\) −1501.76 + 8516.88i −0.273816 + 1.55289i 0.468882 + 0.883261i \(0.344657\pi\)
−0.742698 + 0.669627i \(0.766454\pi\)
\(312\) 278.723 1580.72i 0.0505756 0.286828i
\(313\) 1539.85 + 1292.09i 0.278075 + 0.233333i 0.771149 0.636655i \(-0.219682\pi\)
−0.493074 + 0.869987i \(0.664127\pi\)
\(314\) 2557.90 + 930.998i 0.459715 + 0.167323i
\(315\) 65.7258 + 23.9222i 0.0117563 + 0.00427894i
\(316\) −1551.41 1301.79i −0.276182 0.231745i
\(317\) −432.002 + 2450.01i −0.0765415 + 0.434089i 0.922322 + 0.386423i \(0.126289\pi\)
−0.998863 + 0.0476659i \(0.984822\pi\)
\(318\) 721.470 4091.66i 0.127227 0.721537i
\(319\) 138.450 + 239.802i 0.0243000 + 0.0420889i
\(320\) −24.1817 + 20.2908i −0.00422437 + 0.00354466i
\(321\) −1273.08 + 463.364i −0.221360 + 0.0805683i
\(322\) 967.449 1675.67i 0.167434 0.290005i
\(323\) −3486.59 6038.95i −0.600616 1.04030i
\(324\) −1735.09 1455.92i −0.297513 0.249643i
\(325\) −2672.81 + 4629.44i −0.456187 + 0.790139i
\(326\) −1119.30 6347.85i −0.190160 1.07845i
\(327\) −95.4045 −0.0161342
\(328\) 12.9689 + 73.5503i 0.00218319 + 0.0123815i
\(329\) 5374.30 4509.57i 0.900591 0.755686i
\(330\) 124.396 + 45.2764i 0.0207508 + 0.00755268i
\(331\) 8712.50 3171.09i 1.44677 0.526583i 0.505086 0.863069i \(-0.331461\pi\)
0.941688 + 0.336487i \(0.109239\pi\)
\(332\) 4305.90 0.711797
\(333\) −401.485 + 1069.10i −0.0660698 + 0.175934i
\(334\) −3802.26 −0.622905
\(335\) −327.729 + 119.284i −0.0534500 + 0.0194542i
\(336\) 1967.52 + 716.119i 0.319455 + 0.116272i
\(337\) −7867.45 + 6601.58i −1.27171 + 1.06709i −0.277383 + 0.960759i \(0.589467\pi\)
−0.994330 + 0.106335i \(0.966088\pi\)
\(338\) 125.380 + 711.067i 0.0201769 + 0.114429i
\(339\) 2364.91 0.378892
\(340\) 15.3492 + 87.0498i 0.00244832 + 0.0138851i
\(341\) 131.485 227.738i 0.0208806 0.0361663i
\(342\) −1209.97 1015.28i −0.191309 0.160527i
\(343\) 1327.97 + 2300.11i 0.209048 + 0.362082i
\(344\) −351.431 + 608.696i −0.0550811 + 0.0954032i
\(345\) −75.1294 + 27.3449i −0.0117241 + 0.00426724i
\(346\) −4463.19 + 3745.06i −0.693475 + 0.581895i
\(347\) 539.684 + 934.759i 0.0834920 + 0.144612i 0.904748 0.425948i \(-0.140059\pi\)
−0.821256 + 0.570560i \(0.806726\pi\)
\(348\) 31.4247 178.218i 0.00484064 0.0274526i
\(349\) −1379.62 + 7824.19i −0.211602 + 1.20005i 0.675105 + 0.737722i \(0.264099\pi\)
−0.886707 + 0.462333i \(0.847013\pi\)
\(350\) −5341.74 4482.26i −0.815795 0.684533i
\(351\) −6047.19 2201.00i −0.919587 0.334702i
\(352\) −861.778 313.661i −0.130491 0.0474949i
\(353\) −8311.31 6974.02i −1.25316 1.05153i −0.996376 0.0850601i \(-0.972892\pi\)
−0.256787 0.966468i \(-0.582664\pi\)
\(354\) −1279.72 + 7257.66i −0.192137 + 1.08966i
\(355\) 14.2214 80.6536i 0.00212618 0.0120582i
\(356\) 1543.61 + 2673.62i 0.229807 + 0.398038i
\(357\) 4491.29 3768.64i 0.665838 0.558705i
\(358\) 5751.86 2093.51i 0.849149 0.309065i
\(359\) −5169.55 + 8953.93i −0.759996 + 1.31635i 0.182856 + 0.983140i \(0.441466\pi\)
−0.942852 + 0.333212i \(0.891867\pi\)
\(360\) 10.0109 + 17.3395i 0.00146562 + 0.00253853i
\(361\) 13302.7 + 11162.3i 1.93945 + 1.62739i
\(362\) 271.346 469.985i 0.0393967 0.0682371i
\(363\) −414.415 2350.26i −0.0599205 0.339826i
\(364\) 4789.93 0.689727
\(365\) 36.6244 + 207.707i 0.00525208 + 0.0297860i
\(366\) −5606.06 + 4704.04i −0.800637 + 0.671814i
\(367\) 781.523 + 284.451i 0.111159 + 0.0404584i 0.397001 0.917818i \(-0.370051\pi\)
−0.285842 + 0.958277i \(0.592273\pi\)
\(368\) 520.474 189.437i 0.0737271 0.0268345i
\(369\) 47.3702 0.00668291
\(370\) −144.433 + 168.614i −0.0202938 + 0.0236914i
\(371\) 12398.7 1.73506
\(372\) −161.499 + 58.7808i −0.0225089 + 0.00819259i
\(373\) 8896.55 + 3238.08i 1.23498 + 0.449494i 0.875299 0.483582i \(-0.160665\pi\)
0.359677 + 0.933077i \(0.382887\pi\)
\(374\) −1967.19 + 1650.67i −0.271982 + 0.228220i
\(375\) 100.166 + 568.067i 0.0137934 + 0.0782263i
\(376\) 2008.27 0.275449
\(377\) −71.8898 407.707i −0.00982099 0.0556976i
\(378\) 4197.29 7269.91i 0.571125 0.989217i
\(379\) 11027.9 + 9253.55i 1.49464 + 1.25415i 0.888574 + 0.458734i \(0.151697\pi\)
0.606064 + 0.795416i \(0.292748\pi\)
\(380\) −153.536 265.932i −0.0207269 0.0359000i
\(381\) −251.069 + 434.864i −0.0337603 + 0.0584745i
\(382\) −7524.36 + 2738.64i −1.00780 + 0.366810i
\(383\) 378.774 317.829i 0.0505338 0.0424029i −0.617171 0.786829i \(-0.711721\pi\)
0.667705 + 0.744426i \(0.267277\pi\)
\(384\) 299.680 + 519.062i 0.0398255 + 0.0689798i
\(385\) −68.5990 + 389.044i −0.00908085 + 0.0515001i
\(386\) −393.747 + 2233.05i −0.0519202 + 0.294454i
\(387\) 341.504 + 286.556i 0.0448570 + 0.0376395i
\(388\) 755.826 + 275.098i 0.0988949 + 0.0359948i
\(389\) 2467.31 + 898.027i 0.321587 + 0.117048i 0.497770 0.867309i \(-0.334153\pi\)
−0.176182 + 0.984358i \(0.556375\pi\)
\(390\) −151.617 127.222i −0.0196858 0.0165183i
\(391\) 269.319 1527.38i 0.0348339 0.197553i
\(392\) −608.511 + 3451.04i −0.0784042 + 0.444653i
\(393\) −6228.19 10787.5i −0.799416 1.38463i
\(394\) −1290.31 + 1082.69i −0.164986 + 0.138440i
\(395\) −234.667 + 85.4117i −0.0298920 + 0.0108798i
\(396\) −290.839 + 503.747i −0.0369070 + 0.0639249i
\(397\) −5654.19 9793.34i −0.714800 1.23807i −0.963037 0.269371i \(-0.913184\pi\)
0.248236 0.968699i \(-0.420149\pi\)
\(398\) 7524.37 + 6313.69i 0.947644 + 0.795168i
\(399\) −10183.8 + 17638.9i −1.27777 + 2.21315i
\(400\) −346.620 1965.78i −0.0433276 0.245723i
\(401\) 637.456 0.0793842 0.0396921 0.999212i \(-0.487362\pi\)
0.0396921 + 0.999212i \(0.487362\pi\)
\(402\) 1149.89 + 6521.33i 0.142664 + 0.809090i
\(403\) −301.185 + 252.724i −0.0372285 + 0.0312385i
\(404\) 5209.53 + 1896.12i 0.641545 + 0.233503i
\(405\) −262.451 + 95.5242i −0.0322007 + 0.0117201i
\(406\) 540.043 0.0660145
\(407\) −6340.32 1184.61i −0.772182 0.144273i
\(408\) 1678.31 0.203649
\(409\) −4408.62 + 1604.61i −0.532989 + 0.193992i −0.594472 0.804116i \(-0.702639\pi\)
0.0614837 + 0.998108i \(0.480417\pi\)
\(410\) 8.65389 + 3.14976i 0.00104240 + 0.000379404i
\(411\) 7947.92 6669.10i 0.953873 0.800395i
\(412\) −71.3062 404.397i −0.00852670 0.0483573i
\(413\) −21992.4 −2.62028
\(414\) −61.0036 345.969i −0.00724195 0.0410711i
\(415\) 265.477 459.819i 0.0314018 0.0543895i
\(416\) 1050.36 + 881.357i 0.123794 + 0.103875i
\(417\) 6398.72 + 11082.9i 0.751431 + 1.30152i
\(418\) 4460.53 7725.86i 0.521942 0.904030i
\(419\) 1180.52 429.675i 0.137643 0.0500979i −0.272280 0.962218i \(-0.587778\pi\)
0.409923 + 0.912120i \(0.365556\pi\)
\(420\) 197.779 165.956i 0.0229777 0.0192806i
\(421\) −7547.86 13073.3i −0.873777 1.51343i −0.858060 0.513550i \(-0.828330\pi\)
−0.0157175 0.999876i \(-0.505003\pi\)
\(422\) 953.107 5405.34i 0.109944 0.623525i
\(423\) 221.190 1254.43i 0.0254246 0.144190i
\(424\) 2718.84 + 2281.38i 0.311412 + 0.261305i
\(425\) −5252.35 1911.70i −0.599474 0.218191i
\(426\) −1461.21 531.838i −0.166188 0.0604874i
\(427\) −16729.6 14037.8i −1.89602 1.59095i
\(428\) 200.966 1139.73i 0.0226964 0.128718i
\(429\) 998.486 5662.70i 0.112372 0.637291i
\(430\) 43.3344 + 75.0573i 0.00485993 + 0.00841764i
\(431\) 4713.80 3955.35i 0.526811 0.442047i −0.340187 0.940358i \(-0.610490\pi\)
0.866999 + 0.498310i \(0.166046\pi\)
\(432\) 2258.08 821.874i 0.251486 0.0915334i
\(433\) 2597.66 4499.27i 0.288304 0.499356i −0.685101 0.728448i \(-0.740242\pi\)
0.973405 + 0.229091i \(0.0735755\pi\)
\(434\) −256.437 444.162i −0.0283626 0.0491255i
\(435\) −17.0942 14.3437i −0.00188414 0.00158098i
\(436\) 40.7493 70.5799i 0.00447601 0.00775267i
\(437\) 935.600 + 5306.05i 0.102416 + 0.580830i
\(438\) 4004.57 0.436862
\(439\) −2367.91 13429.1i −0.257435 1.45999i −0.789743 0.613437i \(-0.789786\pi\)
0.532308 0.846551i \(-0.321325\pi\)
\(440\) −86.6276 + 72.6892i −0.00938593 + 0.00787573i
\(441\) 2088.61 + 760.191i 0.225527 + 0.0820852i
\(442\) 3607.89 1313.17i 0.388258 0.141314i
\(443\) 5775.26 0.619393 0.309696 0.950836i \(-0.399773\pi\)
0.309696 + 0.950836i \(0.399773\pi\)
\(444\) 2676.62 + 3256.60i 0.286097 + 0.348089i
\(445\) 380.681 0.0405529
\(446\) −5378.23 + 1957.52i −0.571001 + 0.207828i
\(447\) 12096.6 + 4402.80i 1.27998 + 0.465874i
\(448\) −1370.15 + 1149.69i −0.144495 + 0.121245i
\(449\) −2941.38 16681.4i −0.309159 1.75333i −0.603252 0.797551i \(-0.706129\pi\)
0.294093 0.955777i \(-0.404983\pi\)
\(450\) −1266.07 −0.132629
\(451\) 46.4593 + 263.484i 0.00485074 + 0.0275099i
\(452\) −1010.10 + 1749.55i −0.105114 + 0.182062i
\(453\) −10056.9 8438.72i −1.04308 0.875245i
\(454\) −1277.85 2213.30i −0.132098 0.228801i
\(455\) 295.319 511.508i 0.0304281 0.0527030i
\(456\) −5478.75 + 1994.10i −0.562644 + 0.204786i
\(457\) 486.384 408.125i 0.0497857 0.0417752i −0.617555 0.786527i \(-0.711877\pi\)
0.667341 + 0.744752i \(0.267432\pi\)
\(458\) −641.679 1111.42i −0.0654665 0.113391i
\(459\) 1168.44 6626.56i 0.118820 0.673860i
\(460\) 11.8598 67.2600i 0.00120210 0.00681743i
\(461\) −5113.60 4290.82i −0.516625 0.433500i 0.346828 0.937929i \(-0.387259\pi\)
−0.863453 + 0.504429i \(0.831703\pi\)
\(462\) 7048.37 + 2565.40i 0.709783 + 0.258340i
\(463\) −10894.8 3965.37i −1.09357 0.398027i −0.268628 0.963244i \(-0.586570\pi\)
−0.824942 + 0.565217i \(0.808792\pi\)
\(464\) 118.423 + 99.3689i 0.0118484 + 0.00994199i
\(465\) −3.67999 + 20.8703i −0.000367001 + 0.00208137i
\(466\) 653.289 3704.98i 0.0649421 0.368305i
\(467\) −917.776 1589.63i −0.0909414 0.157515i 0.816966 0.576686i \(-0.195654\pi\)
−0.907907 + 0.419171i \(0.862321\pi\)
\(468\) 666.209 559.016i 0.0658024 0.0552148i
\(469\) −18569.4 + 6758.70i −1.82826 + 0.665432i
\(470\) 123.818 214.460i 0.0121517 0.0210474i
\(471\) −3186.51 5519.20i −0.311734 0.539939i
\(472\) −4822.59 4046.64i −0.470292 0.394622i
\(473\) −1258.95 + 2180.57i −0.122382 + 0.211972i
\(474\) 823.363 + 4669.52i 0.0797855 + 0.452486i
\(475\) 19417.4 1.87564
\(476\) 869.699 + 4932.31i 0.0837449 + 0.474941i
\(477\) 1724.47 1447.00i 0.165531 0.138897i
\(478\) −6514.91 2371.23i −0.623399 0.226899i
\(479\) 7197.66 2619.73i 0.686575 0.249893i 0.0249069 0.999690i \(-0.492071\pi\)
0.661668 + 0.749797i \(0.269849\pi\)
\(480\) 73.9062 0.00702780
\(481\) 8302.06 + 4906.50i 0.786988 + 0.465108i
\(482\) 8292.27 0.783615
\(483\) −4256.89 + 1549.38i −0.401025 + 0.145961i
\(484\) 1915.72 + 697.266i 0.179914 + 0.0654833i
\(485\) 75.9770 63.7523i 0.00711328 0.00596875i
\(486\) −487.459 2764.52i −0.0454971 0.258027i
\(487\) 5996.01 0.557916 0.278958 0.960303i \(-0.410011\pi\)
0.278958 + 0.960303i \(0.410011\pi\)
\(488\) −1085.56 6156.54i −0.100699 0.571093i
\(489\) −7545.60 + 13069.4i −0.697799 + 1.20862i
\(490\) 331.013 + 277.753i 0.0305176 + 0.0256073i
\(491\) 8487.90 + 14701.5i 0.780150 + 1.35126i 0.931854 + 0.362833i \(0.118190\pi\)
−0.151705 + 0.988426i \(0.548476\pi\)
\(492\) 87.4281 151.430i 0.00801131 0.0138760i
\(493\) 406.773 148.053i 0.0371605 0.0135253i
\(494\) −10217.5 + 8573.51i −0.930582 + 0.780851i
\(495\) 35.8628 + 62.1163i 0.00325639 + 0.00564024i
\(496\) 25.4939 144.583i 0.00230788 0.0130886i
\(497\) 805.796 4569.90i 0.0727261 0.412450i
\(498\) −7722.64 6480.07i −0.694899 0.583090i
\(499\) −4192.29 1525.87i −0.376098 0.136888i 0.147053 0.989129i \(-0.453021\pi\)
−0.523151 + 0.852240i \(0.675243\pi\)
\(500\) −463.037 168.532i −0.0414153 0.0150739i
\(501\) 6819.36 + 5722.12i 0.608117 + 0.510271i
\(502\) −2154.21 + 12217.1i −0.191528 + 1.08621i
\(503\) −2112.28 + 11979.3i −0.187240 + 1.06189i 0.735803 + 0.677196i \(0.236805\pi\)
−0.923043 + 0.384696i \(0.874306\pi\)
\(504\) 567.228 + 982.468i 0.0501316 + 0.0868305i
\(505\) 523.672 439.413i 0.0461448 0.0387201i
\(506\) 1864.53 678.632i 0.163811 0.0596223i
\(507\) 845.235 1463.99i 0.0740399 0.128241i
\(508\) −214.474 371.480i −0.0187318 0.0324444i
\(509\) −1867.34 1566.89i −0.162610 0.136446i 0.557852 0.829941i \(-0.311626\pi\)
−0.720462 + 0.693495i \(0.756070\pi\)
\(510\) 103.475 179.224i 0.00898420 0.0155611i
\(511\) 2075.17 + 11768.8i 0.179648 + 1.01883i
\(512\) −512.000 −0.0441942
\(513\) 4059.11 + 23020.3i 0.349345 + 1.98123i
\(514\) 10953.9 9191.39i 0.939989 0.788745i
\(515\) −47.5812 17.3181i −0.00407122 0.00148180i
\(516\) 1546.34 562.820i 0.131926 0.0480170i
\(517\) 7194.36 0.612007
\(518\) −8183.66 + 9553.78i −0.694149 + 0.810365i
\(519\) 13640.8 1.15369
\(520\) 158.878 57.8267i 0.0133985 0.00487667i
\(521\) 6801.50 + 2475.54i 0.571937 + 0.208168i 0.611766 0.791038i \(-0.290459\pi\)
−0.0398294 + 0.999206i \(0.512681\pi\)
\(522\) 75.1120 63.0265i 0.00629802 0.00528466i
\(523\) −12.2269 69.3420i −0.00102226 0.00579754i 0.984292 0.176546i \(-0.0564925\pi\)
−0.985315 + 0.170749i \(0.945381\pi\)
\(524\) 10640.8 0.887108
\(525\) 2834.96 + 16077.9i 0.235672 + 1.33656i
\(526\) 3209.61 5559.22i 0.266057 0.460824i
\(527\) −314.922 264.251i −0.0260308 0.0218424i
\(528\) 1073.56 + 1859.47i 0.0884865 + 0.153263i
\(529\) 5484.32 9499.12i 0.450754 0.780729i
\(530\) 411.252 149.684i 0.0337050 0.0122676i
\(531\) −3058.82 + 2566.65i −0.249984 + 0.209761i
\(532\) −8699.46 15067.9i −0.708965 1.22796i
\(533\) 69.4620 393.938i 0.00564490 0.0320138i
\(534\) 1255.13 7118.18i 0.101713 0.576842i
\(535\) −109.320 91.7301i −0.00883421 0.00741279i
\(536\) −5315.60 1934.72i −0.428356 0.155909i
\(537\) −13466.6 4901.43i −1.08217 0.393877i
\(538\) 9992.05 + 8384.32i 0.800721 + 0.671884i
\(539\) −2179.91 + 12362.9i −0.174203 + 0.987953i
\(540\) 51.4537 291.808i 0.00410039 0.0232545i
\(541\) 1626.58 + 2817.32i 0.129265 + 0.223893i 0.923392 0.383859i \(-0.125405\pi\)
−0.794127 + 0.607751i \(0.792072\pi\)
\(542\) −10435.9 + 8756.75i −0.827048 + 0.693976i
\(543\) −1193.95 + 434.563i −0.0943599 + 0.0343442i
\(544\) −716.842 + 1241.61i −0.0564970 + 0.0978556i
\(545\) −5.02474 8.70310i −0.000394928 0.000684036i
\(546\) −8590.76 7208.50i −0.673353 0.565010i
\(547\) 8152.83 14121.1i 0.637276 1.10379i −0.348752 0.937215i \(-0.613394\pi\)
0.986028 0.166580i \(-0.0532723\pi\)
\(548\) 1539.05 + 8728.36i 0.119972 + 0.680396i
\(549\) −3965.13 −0.308247
\(550\) −1241.72 7042.14i −0.0962675 0.545960i
\(551\) −1151.98 + 966.624i −0.0890669 + 0.0747360i
\(552\) −1218.56 443.520i −0.0939590 0.0341983i
\(553\) −13296.4 + 4839.49i −1.02246 + 0.372145i
\(554\) 1587.11 0.121714
\(555\) 512.792 85.0486i 0.0392195 0.00650470i
\(556\) −10932.1 −0.833859
\(557\) −9326.62 + 3394.61i −0.709482 + 0.258230i −0.671454 0.741046i \(-0.734330\pi\)
−0.0380280 + 0.999277i \(0.512108\pi\)
\(558\) −87.5032 31.8485i −0.00663854 0.00241623i
\(559\) 2883.82 2419.81i 0.218198 0.183090i
\(560\) 38.2982 + 217.200i 0.00288999 + 0.0163899i
\(561\) 6012.31 0.452478
\(562\) −1019.84 5783.79i −0.0765467 0.434118i
\(563\) 8103.13 14035.0i 0.606583 1.05063i −0.385216 0.922826i \(-0.625873\pi\)
0.991799 0.127806i \(-0.0407936\pi\)
\(564\) −3601.84 3022.30i −0.268909 0.225642i
\(565\) 124.554 + 215.735i 0.00927441 + 0.0160638i
\(566\) −2554.93 + 4425.28i −0.189738 + 0.328637i
\(567\) −14870.7 + 5412.48i −1.10143 + 0.400887i
\(568\) 1017.57 853.841i 0.0751694 0.0630746i
\(569\) 1998.83 + 3462.07i 0.147268 + 0.255075i 0.930217 0.367011i \(-0.119619\pi\)
−0.782949 + 0.622086i \(0.786285\pi\)
\(570\) −124.841 + 708.010i −0.00917373 + 0.0520268i
\(571\) −632.906 + 3589.39i −0.0463858 + 0.263067i −0.999177 0.0405588i \(-0.987086\pi\)
0.952791 + 0.303626i \(0.0981973\pi\)
\(572\) 3762.77 + 3157.34i 0.275051 + 0.230795i
\(573\) 17616.4 + 6411.86i 1.28436 + 0.467468i
\(574\) 490.336 + 178.468i 0.0356554 + 0.0129775i
\(575\) 3308.35 + 2776.03i 0.239944 + 0.201337i
\(576\) −56.3914 + 319.811i −0.00407924 + 0.0231345i
\(577\) 857.874 4865.24i 0.0618956 0.351027i −0.938094 0.346382i \(-0.887410\pi\)
0.999989 0.00464547i \(-0.00147870\pi\)
\(578\) −2905.72 5032.86i −0.209104 0.362179i
\(579\) 4066.77 3412.43i 0.291898 0.244932i
\(580\) 17.9127 6.51970i 0.00128239 0.000466751i
\(581\) 15042.1 26053.7i 1.07410 1.86039i
\(582\) −941.573 1630.85i −0.0670609 0.116153i
\(583\) 9739.87 + 8172.72i 0.691911 + 0.580582i
\(584\) −1710.44 + 2962.57i −0.121196 + 0.209918i
\(585\) −18.6217 105.609i −0.00131609 0.00746392i
\(586\) 14210.4 1.00175
\(587\) 3288.39 + 18649.4i 0.231221 + 1.31132i 0.850429 + 0.526090i \(0.176343\pi\)
−0.619208 + 0.785227i \(0.712546\pi\)
\(588\) 6284.93 5273.69i 0.440793 0.369869i
\(589\) 1342.02 + 488.455i 0.0938827 + 0.0341705i
\(590\) −729.466 + 265.504i −0.0509011 + 0.0185265i
\(591\) 3943.55 0.274477
\(592\) −3552.47 + 589.191i −0.246631 + 0.0409047i
\(593\) −22817.6 −1.58011 −0.790057 0.613033i \(-0.789949\pi\)
−0.790057 + 0.613033i \(0.789949\pi\)
\(594\) 8089.26 2944.25i 0.558765 0.203374i
\(595\) 580.333 + 211.224i 0.0399854 + 0.0145535i
\(596\) −8423.90 + 7068.49i −0.578954 + 0.485800i
\(597\) −3993.32 22647.3i −0.273762 1.55258i
\(598\) −2966.59 −0.202864
\(599\) 1280.38 + 7261.40i 0.0873371 + 0.495313i 0.996828 + 0.0795889i \(0.0253608\pi\)
−0.909491 + 0.415724i \(0.863528\pi\)
\(600\) −2336.70 + 4047.28i −0.158992 + 0.275382i
\(601\) 17587.2 + 14757.4i 1.19367 + 1.00161i 0.999788 + 0.0205873i \(0.00655361\pi\)
0.193886 + 0.981024i \(0.437891\pi\)
\(602\) 2455.36 + 4252.81i 0.166234 + 0.287926i
\(603\) −1793.94 + 3107.20i −0.121153 + 0.209842i
\(604\) 10538.4 3835.68i 0.709939 0.258397i
\(605\) 192.572 161.587i 0.0129408 0.0108586i
\(606\) −6489.80 11240.7i −0.435033 0.753500i
\(607\) 579.567 3286.89i 0.0387544 0.219787i −0.959280 0.282457i \(-0.908851\pi\)
0.998034 + 0.0626702i \(0.0199616\pi\)
\(608\) 864.863 4904.88i 0.0576888 0.327170i
\(609\) −968.569 812.726i −0.0644473 0.0540777i
\(610\) −724.375 263.651i −0.0480805 0.0174999i
\(611\) −10107.7 3678.90i −0.669253 0.243588i
\(612\) 696.595 + 584.512i 0.0460101 + 0.0386070i
\(613\) 1050.66 5958.57i 0.0692261 0.392601i −0.930432 0.366464i \(-0.880568\pi\)
0.999658 0.0261369i \(-0.00832059\pi\)
\(614\) 1160.43 6581.10i 0.0762720 0.432560i
\(615\) −10.7806 18.6726i −0.000706856 0.00122431i
\(616\) −4908.38 + 4118.62i −0.321046 + 0.269390i
\(617\) −16404.5 + 5970.74i −1.07037 + 0.389584i −0.816316 0.577606i \(-0.803987\pi\)
−0.254056 + 0.967189i \(0.581765\pi\)
\(618\) −480.701 + 832.599i −0.0312891 + 0.0541942i
\(619\) −5102.08 8837.06i −0.331292 0.573815i 0.651473 0.758672i \(-0.274151\pi\)
−0.982766 + 0.184856i \(0.940818\pi\)
\(620\) −13.8679 11.6366i −0.000898307 0.000753769i
\(621\) −2599.54 + 4502.53i −0.167981 + 0.290951i
\(622\) 3003.51 + 17033.8i 0.193617 + 1.09806i
\(623\) 21569.7 1.38711
\(624\) −557.446 3161.43i −0.0357623 0.202818i
\(625\) 11899.6 9984.95i 0.761575 0.639037i
\(626\) 3777.81 + 1375.01i 0.241201 + 0.0877899i
\(627\) −19626.9 + 7143.59i −1.25011 + 0.455004i
\(628\) 5444.11 0.345930
\(629\) −3544.95 + 9439.70i −0.224716 + 0.598387i
\(630\) 139.888 0.00884646
\(631\) −23310.9 + 8484.47i −1.47067 + 0.535280i −0.948282 0.317429i \(-0.897180\pi\)
−0.522387 + 0.852709i \(0.674958\pi\)
\(632\) −3806.17 1385.33i −0.239559 0.0871924i
\(633\) −9844.05 + 8260.14i −0.618113 + 0.518659i
\(634\) 864.005 + 4900.01i 0.0541230 + 0.306947i
\(635\) −52.8929 −0.00330550
\(636\) −1442.94 8183.32i −0.0899627 0.510204i
\(637\) 9384.53 16254.5i 0.583719 1.01103i
\(638\) 424.235 + 355.975i 0.0263254 + 0.0220897i
\(639\) −421.262 729.647i −0.0260796 0.0451712i
\(640\) −31.5670 + 54.6756i −0.00194968 + 0.00337694i
\(641\) 2272.00 826.940i 0.139998 0.0509550i −0.271071 0.962559i \(-0.587378\pi\)
0.411069 + 0.911604i \(0.365156\pi\)
\(642\) −2075.65 + 1741.68i −0.127600 + 0.107069i
\(643\) 7897.41 + 13678.7i 0.484360 + 0.838937i 0.999839 0.0179661i \(-0.00571908\pi\)
−0.515478 + 0.856903i \(0.672386\pi\)
\(644\) 671.983 3811.01i 0.0411178 0.233191i
\(645\) 35.2356 199.831i 0.00215101 0.0121990i
\(646\) −10683.5 8964.54i −0.650678 0.545983i
\(647\) −17655.2 6425.95i −1.07279 0.390464i −0.255572 0.966790i \(-0.582264\pi\)
−0.817220 + 0.576326i \(0.804486\pi\)
\(648\) −4256.82 1549.35i −0.258061 0.0939266i
\(649\) −17276.3 14496.5i −1.04492 0.876792i
\(650\) −1856.51 + 10528.8i −0.112028 + 0.635345i
\(651\) −208.511 + 1182.53i −0.0125533 + 0.0711933i
\(652\) −6445.78 11164.4i −0.387172 0.670601i
\(653\) 21716.7 18222.5i 1.30144 1.09204i 0.311548 0.950230i \(-0.399152\pi\)
0.989894 0.141809i \(-0.0452920\pi\)
\(654\) −179.302 + 65.2605i −0.0107206 + 0.00390197i
\(655\) 656.049 1136.31i 0.0391358 0.0677852i
\(656\) 74.6849 + 129.358i 0.00444505 + 0.00769906i
\(657\) 1662.13 + 1394.69i 0.0986997 + 0.0828189i
\(658\) 7015.64 12151.5i 0.415651 0.719929i
\(659\) −5422.70 30753.7i −0.320544 1.81789i −0.539299 0.842114i \(-0.681311\pi\)
0.218755 0.975780i \(-0.429800\pi\)
\(660\) 264.759 0.0156147
\(661\) −1686.46 9564.41i −0.0992373 0.562803i −0.993366 0.114993i \(-0.963315\pi\)
0.894129 0.447810i \(-0.147796\pi\)
\(662\) 14205.0 11919.4i 0.833976 0.699789i
\(663\) −8446.99 3074.45i −0.494802 0.180093i
\(664\) 8092.44 2945.41i 0.472963 0.172144i
\(665\) −2145.43 −0.125107
\(666\) −23.2394 + 2283.88i −0.00135211 + 0.132880i
\(667\) −334.469 −0.0194163
\(668\) −7145.90 + 2600.90i −0.413897 + 0.150646i
\(669\) 12591.8 + 4583.04i 0.727694 + 0.264859i
\(670\) −534.334 + 448.359i −0.0308106 + 0.0258532i
\(671\) −3888.88 22055.0i −0.223739 1.26889i
\(672\) 4187.58 0.240386
\(673\) −413.384 2344.42i −0.0236772 0.134280i 0.970678 0.240384i \(-0.0772734\pi\)
−0.994355 + 0.106104i \(0.966162\pi\)
\(674\) −10270.2 + 17788.6i −0.586935 + 1.01660i
\(675\) 14353.3 + 12043.8i 0.818456 + 0.686767i
\(676\) 722.037 + 1250.60i 0.0410808 + 0.0711541i
\(677\) −9929.69 + 17198.7i −0.563706 + 0.976368i 0.433462 + 0.901172i \(0.357292\pi\)
−0.997169 + 0.0751963i \(0.976042\pi\)
\(678\) 4444.58 1617.69i 0.251760 0.0916330i
\(679\) 4304.92 3612.26i 0.243310 0.204161i
\(680\) 88.3927 + 153.101i 0.00498486 + 0.00863403i
\(681\) −1039.03 + 5892.64i −0.0584666 + 0.331581i
\(682\) 91.3283 517.948i 0.00512777 0.0290810i
\(683\) 25979.7 + 21799.6i 1.45547 + 1.22128i 0.928464 + 0.371422i \(0.121130\pi\)
0.527005 + 0.849862i \(0.323315\pi\)
\(684\) −2968.49 1080.44i −0.165940 0.0603972i
\(685\) 1026.97 + 373.788i 0.0572827 + 0.0208492i
\(686\) 4069.13 + 3414.40i 0.226472 + 0.190033i
\(687\) −521.754 + 2959.02i −0.0289755 + 0.164328i
\(688\) −244.101 + 1384.37i −0.0135266 + 0.0767129i
\(689\) −9504.82 16462.8i −0.525551 0.910282i
\(690\) −122.492 + 102.783i −0.00675825 + 0.00567085i
\(691\) −7531.59 + 2741.27i −0.414639 + 0.150916i −0.540912 0.841079i \(-0.681921\pi\)
0.126273 + 0.991996i \(0.459698\pi\)
\(692\) −5826.28 + 10091.4i −0.320060 + 0.554361i
\(693\) 2032.02 + 3519.56i 0.111385 + 0.192925i
\(694\) 1653.69 + 1387.61i 0.0904511 + 0.0758975i
\(695\) −674.012 + 1167.42i −0.0367866 + 0.0637163i
\(696\) −62.8495 356.437i −0.00342285 0.0194119i
\(697\) 418.260 0.0227299
\(698\) 2759.23 + 15648.4i 0.149625 + 0.848567i
\(699\) −6747.41 + 5661.75i −0.365108 + 0.306362i
\(700\) −13105.2 4769.92i −0.707616 0.257551i
\(701\) −28697.6 + 10445.1i −1.54621 + 0.562775i −0.967525 0.252776i \(-0.918656\pi\)
−0.578686 + 0.815551i \(0.696434\pi\)
\(702\) −12870.6 −0.691977
\(703\) 356.418 35027.3i 0.0191217 1.87920i
\(704\) −1834.17 −0.0981930
\(705\) −544.815 + 198.297i −0.0291049 + 0.0105933i
\(706\) −20390.7 7421.59i −1.08699 0.395631i
\(707\) 29671.7 24897.5i 1.57839 1.32442i
\(708\) 2559.44 + 14515.3i 0.135861 + 0.770507i
\(709\) −2767.87 −0.146614 −0.0733071 0.997309i \(-0.523355\pi\)
−0.0733071 + 0.997309i \(0.523355\pi\)
\(710\) −28.4428 161.307i −0.00150344 0.00852641i
\(711\) −1284.53 + 2224.88i −0.0677549 + 0.117355i
\(712\) 4729.91 + 3968.87i 0.248962 + 0.208904i
\(713\) 158.821 + 275.086i 0.00834208 + 0.0144489i
\(714\) 5862.96 10154.9i 0.307305 0.532268i
\(715\) 569.157 207.156i 0.0297696 0.0108353i
\(716\) 9377.92 7869.01i 0.489482 0.410724i
\(717\) 8115.98 + 14057.3i 0.422729 + 0.732188i
\(718\) −3590.73 + 20364.1i −0.186637 + 1.05847i
\(719\) 2730.16 15483.5i 0.141610 0.803112i −0.828416 0.560113i \(-0.810758\pi\)
0.970026 0.242999i \(-0.0781312\pi\)
\(720\) 30.6753 + 25.7397i 0.00158778 + 0.00133231i
\(721\) −2695.99 981.259i −0.139256 0.0506852i
\(722\) 32636.4 + 11878.7i 1.68227 + 0.612297i
\(723\) −14872.2 12479.3i −0.765012 0.641921i
\(724\) 188.475 1068.89i 0.00967488 0.0548690i
\(725\) −209.313 + 1187.08i −0.0107224 + 0.0608095i
\(726\) −2386.52 4133.58i −0.122000 0.211310i
\(727\) −14400.9 + 12083.8i −0.734663 + 0.616455i −0.931398 0.364001i \(-0.881410\pi\)
0.196736 + 0.980457i \(0.436966\pi\)
\(728\) 9002.13 3276.51i 0.458298 0.166807i
\(729\) −10930.5 + 18932.2i −0.555329 + 0.961858i
\(730\) 210.911 + 365.309i 0.0106934 + 0.0185215i
\(731\) 3015.35 + 2530.18i 0.152567 + 0.128019i
\(732\) −7318.19 + 12675.5i −0.369519 + 0.640026i
\(733\) 5172.78 + 29336.3i 0.260656 + 1.47826i 0.781125 + 0.624375i \(0.214646\pi\)
−0.520468 + 0.853881i \(0.674243\pi\)
\(734\) 1663.36 0.0836454
\(735\) −175.675 996.302i −0.00881614 0.0499988i
\(736\) 848.588 712.050i 0.0424992 0.0356610i
\(737\) −19042.4 6930.86i −0.951744 0.346407i
\(738\) 89.0269 32.4031i 0.00444055 0.00161623i
\(739\) −18373.3 −0.914580 −0.457290 0.889318i \(-0.651180\pi\)
−0.457290 + 0.889318i \(0.651180\pi\)
\(740\) −156.106 + 415.688i −0.00775482 + 0.0206500i
\(741\) 31227.7 1.54815
\(742\) 23301.9 8481.19i 1.15288 0.419615i
\(743\) 17768.0 + 6467.02i 0.877314 + 0.319316i 0.741125 0.671367i \(-0.234292\pi\)
0.136189 + 0.990683i \(0.456515\pi\)
\(744\) −263.310 + 220.944i −0.0129750 + 0.0108873i
\(745\) 235.463 + 1335.38i 0.0115794 + 0.0656703i
\(746\) 18935.0 0.929304
\(747\) −948.498 5379.20i −0.0464575 0.263473i
\(748\) −2567.99 + 4447.89i −0.125528 + 0.217421i
\(749\) −6194.14 5197.50i −0.302175 0.253555i
\(750\) 576.830 + 999.100i 0.0280838 + 0.0486426i
\(751\) −7859.89 + 13613.7i −0.381906 + 0.661481i −0.991335 0.131360i \(-0.958066\pi\)
0.609429 + 0.792841i \(0.291399\pi\)
\(752\) 3774.32 1373.74i 0.183025 0.0666158i
\(753\) 22249.5 18669.5i 1.07678 0.903527i
\(754\) −413.997 717.064i −0.0199959 0.0346338i
\(755\) 240.134 1361.87i 0.0115753 0.0656470i
\(756\) 2915.40 16534.1i 0.140254 0.795421i
\(757\) 12434.1 + 10433.4i 0.596993 + 0.500936i 0.890477 0.455027i \(-0.150371\pi\)
−0.293485 + 0.955964i \(0.594815\pi\)
\(758\) 27055.6 + 9847.42i 1.29644 + 0.471866i
\(759\) −4365.33 1588.85i −0.208763 0.0759836i
\(760\) −470.461 394.764i −0.0224545 0.0188416i
\(761\) 5486.79 31117.1i 0.261361 1.48225i −0.517839 0.855478i \(-0.673264\pi\)
0.779201 0.626775i \(-0.215625\pi\)
\(762\) −174.391 + 989.019i −0.00829070 + 0.0470189i
\(763\) −284.705 493.124i −0.0135086 0.0233975i
\(764\) −12267.8 + 10293.9i −0.580936 + 0.487463i
\(765\) 105.367 38.3505i 0.00497981 0.00181250i
\(766\) 494.455 856.421i 0.0233229 0.0403965i
\(767\) 16859.4 + 29201.3i 0.793685 + 1.37470i
\(768\) 918.274 + 770.523i 0.0431450 + 0.0362029i
\(769\) −2290.90 + 3967.95i −0.107428 + 0.186070i −0.914727