Properties

Label 74.4.f.a.53.1
Level $74$
Weight $4$
Character 74.53
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 53.1
Character \(\chi\) \(=\) 74.53
Dual form 74.4.f.a.7.1

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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 −0.728736 0.684795i \(-0.759892\pi\)
−0.118067 + 0.993006i \(0.537670\pi\)
\(4\) 3.06418 + 2.57115i 0.383022 + 0.321394i
\(5\) −0.0856491 + 0.485740i −0.00766069 + 0.0434459i −0.988398 0.151883i \(-0.951466\pi\)
0.980738 + 0.195329i \(0.0625774\pi\)
\(6\) −9.36501 −0.637208
\(7\) −4.85295 + 27.5224i −0.262034 + 1.48607i 0.515314 + 0.857001i \(0.327675\pi\)
−0.777349 + 0.629070i \(0.783436\pi\)
\(8\) 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 0.992814 0.119667i \(-0.0381828\pi\)
−0.600042 + 0.799968i \(0.704850\pi\)
\(12\) −17.6005 6.40605i −0.423401 0.154105i
\(13\) −32.8237 27.5424i −0.700282 0.587607i 0.221572 0.975144i \(-0.428881\pi\)
−0.921854 + 0.387538i \(0.873326\pi\)
\(14\) −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 −0.853900 0.520437i \(-0.825769\pi\)
0.364252 + 0.931300i \(0.381325\pi\)
\(18\) −9.53626 + 3.47092i −0.124873 + 0.0454502i
\(19\) 146.256 53.2327i 1.76597 0.642759i 0.765966 0.642881i \(-0.222261\pi\)
1.00000 0.000121544i \(3.86885e-5\pi\)
\(20\) −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 −0.776838 0.629700i \(-0.783178\pi\)
0.933756 + 0.357911i \(0.116511\pi\)
\(24\) −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 0.850144 0.526550i \(-0.176515\pi\)
−0.881078 + 0.472971i \(0.843182\pi\)
\(30\) 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 0.629066 0.777352i \(-0.283438\pi\)
−0.656306 + 0.754494i \(0.727882\pi\)
\(42\) 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 −0.602845 0.797858i \(-0.705966\pi\)
0.992388 + 0.123150i \(0.0392996\pi\)
\(48\) −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 −0.905621 0.424088i \(-0.860595\pi\)
0.705958 0.708253i \(-0.250516\pi\)
\(54\) 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 0.639409 + 0.768867i \(0.279179\pi\)
−0.337880 + 0.941189i \(0.609710\pi\)
\(60\) 4.61914 8.00058i 0.00993880 0.0172145i
\(61\) 598.617 + 502.299i 1.25648 + 1.05431i 0.996048 + 0.0888158i \(0.0283082\pi\)
0.260428 + 0.965493i \(0.416136\pi\)
\(62\) 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 0.640907 + 0.767619i \(0.278559\pi\)
−0.864796 + 0.502123i \(0.832552\pi\)
\(68\) −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 −0.208308 0.978063i \(-0.566796\pi\)
0.469114 + 0.883138i \(0.344573\pi\)
\(72\) −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 0.855971 + 0.517023i \(0.172960\pi\)
−0.981182 + 0.193083i \(0.938151\pi\)
\(80\) −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 0.0937843 0.995593i \(-0.470104\pi\)
0.996753 + 0.0805234i \(0.0256592\pi\)
\(84\) 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 −0.954437 0.298412i \(-0.903543\pi\)
0.794815 0.606852i \(-0.207568\pi\)
\(90\) −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 −0.808595 0.588365i \(-0.799772\pi\)
0.913837 + 0.406081i \(0.133105\pi\)
\(98\) −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 −0.291431 0.956592i \(-0.594131\pi\)
0.974148 0.225909i \(-0.0725353\pi\)
\(102\) 321.415 269.699i 0.312008 0.261806i
\(103\) 51.3295 + 88.9053i 0.0491033 + 0.0850495i 0.889532 0.456872i \(-0.151030\pi\)
−0.840429 + 0.541922i \(0.817697\pi\)
\(104\) 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 0.737398 0.675459i \(-0.236054\pi\)
−0.537149 + 0.843487i \(0.680499\pi\)
\(108\) 564.520 205.468i 0.502972 0.183067i
\(109\) 19.1459 + 6.96855i 0.0168243 + 0.00612354i 0.350419 0.936593i \(-0.386039\pi\)
−0.333594 + 0.942717i \(0.608262\pi\)
\(110\) −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 0.136828 0.990595i \(-0.456309\pi\)
−0.531926 + 0.846791i \(0.678531\pi\)
\(114\) −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 0.990622 0.136632i \(-0.0436277\pi\)
−0.977611 + 0.210421i \(0.932517\pi\)
\(128\) −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 0.382879 0.923799i \(-0.374933\pi\)
0.976250 0.216646i \(-0.0695117\pi\)
\(132\) −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 −0.971546 0.236851i \(-0.923885\pi\)
0.280654 0.959809i \(-0.409449\pi\)
\(138\) −162.096 + 280.758i −0.0999891 + 0.173186i
\(139\) −2093.62 + 1756.76i −1.27755 + 1.07199i −0.283968 + 0.958834i \(0.591651\pi\)
−0.993577 + 0.113154i \(0.963905\pi\)
\(140\) −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 0.485866 0.874033i \(-0.338504\pi\)
0.934013 + 0.357240i \(0.116282\pi\)
\(152\) 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 −0.338105 0.941108i \(-0.609786\pi\)
0.868100 + 0.496390i \(0.165341\pi\)
\(158\) −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 0.757615 + 0.652701i \(0.226364\pi\)
−0.488689 + 0.872458i \(0.662525\pi\)
\(164\) −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 −0.720953 0.692984i \(-0.756296\pi\)
−0.106841 + 0.994276i \(0.534074\pi\)
\(168\) 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 −0.338752 0.940876i \(-0.610005\pi\)
−0.864282 + 0.503007i \(0.832227\pi\)
\(174\) 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 0.684470 0.729041i \(-0.260034\pi\)
−0.599109 + 0.800668i \(0.704478\pi\)
\(182\) 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 0.740737 0.671795i \(-0.234476\pi\)
−0.952160 + 0.305600i \(0.901143\pi\)
\(194\) 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 0.194922 0.980819i \(-0.437555\pi\)
−0.481139 + 0.876644i \(0.659777\pi\)
\(198\) −222.795 186.947i −0.0799665 0.0670999i
\(199\) 2455.59 4253.21i 0.874735 1.51508i 0.0176896 0.999844i \(-0.494369\pi\)
0.857045 0.515241i \(-0.172298\pi\)
\(200\) 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 0.998236 0.0593716i \(-0.0189097\pi\)
−0.550535 + 0.834812i \(0.685576\pi\)
\(212\) 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 0.935030 + 0.354568i \(0.115372\pi\)
−0.999910 + 0.0133857i \(0.995739\pi\)
\(228\) −2915.18 −0.846765
\(229\) −111.426 + 631.930i −0.0321540 + 0.182354i −0.996655 0.0817252i \(-0.973957\pi\)
0.964501 + 0.264079i \(0.0850681\pi\)
\(230\) 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 0.967419 0.253181i \(-0.0814768\pi\)
−0.702971 + 0.711219i \(0.748143\pi\)
\(234\) 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 −0.927026 0.374997i \(-0.877644\pi\)
0.208323 + 0.978060i \(0.433199\pi\)
\(240\) 34.7246 12.6387i 0.00933942 0.00339927i
\(241\) 3896.09 1418.06i 1.04137 0.379026i 0.235968 0.971761i \(-0.424174\pi\)
0.805398 + 0.592734i \(0.201952\pi\)
\(242\) 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 −0.931990 0.362483i \(-0.881929\pi\)
0.152075 0.988369i \(-0.451404\pi\)
\(252\) 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 0.985375 0.170401i \(-0.0545063\pi\)
0.645309 + 0.763921i \(0.276729\pi\)
\(258\) 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 0.883784 0.467895i \(-0.154987\pi\)
−0.307319 + 0.951607i \(0.599432\pi\)
\(264\) 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 −0.213779 0.976882i \(-0.568577\pi\)
0.952894 0.303303i \(-0.0980894\pi\)
\(270\) 74.0774 + 128.306i 0.0166971 + 0.0289202i
\(271\) −6400.76 2329.69i −1.43475 0.522208i −0.496464 0.868057i \(-0.665369\pi\)
−0.938290 + 0.345849i \(0.887591\pi\)
\(272\) −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 −0.259876 0.965642i \(-0.583682\pi\)
0.421626 + 0.906770i \(0.361460\pi\)
\(278\) −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 0.989871 + 0.141971i \(0.0453439\pi\)
−0.881617 + 0.471965i \(0.843545\pi\)
\(282\) −1175.47 + 2035.97i −0.248220 + 0.429930i
\(283\) −1957.19 1642.28i −0.411106 0.344959i 0.413661 0.910431i \(-0.364250\pi\)
−0.824768 + 0.565472i \(0.808694\pi\)
\(284\) 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 0.424205 0.905566i \(-0.360554\pi\)
0.907047 + 0.421030i \(0.138331\pi\)
\(294\) 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 0.978489 0.206299i \(-0.0661419\pi\)
−0.667905 + 0.744247i \(0.732809\pi\)
\(308\) −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 −0.742698 0.669627i \(-0.766454\pi\)
0.468882 0.883261i \(-0.344657\pi\)
\(312\) 278.723 + 1580.72i 0.0505756 + 0.286828i
\(313\) 1539.85 1292.09i 0.278075 0.233333i −0.493074 0.869987i \(-0.664127\pi\)
0.771149 + 0.636655i \(0.219682\pi\)
\(314\) 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 −0.998863 0.0476659i \(-0.984822\pi\)
0.922322 0.386423i \(-0.126289\pi\)
\(318\) 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 0.941688 0.336487i \(-0.109239\pi\)
0.505086 + 0.863069i \(0.331461\pi\)
\(332\) 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 −0.994330 0.106335i \(-0.966088\pi\)
−0.277383 0.960759i \(-0.589467\pi\)
\(338\) 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 −0.821256 0.570560i \(-0.806726\pi\)
0.904748 + 0.425948i \(0.140059\pi\)
\(348\) 31.4247 + 178.218i 0.00484064 + 0.0274526i
\(349\) −1379.62 7824.19i −0.211602 1.20005i −0.886707 0.462333i \(-0.847013\pi\)
0.675105 0.737722i \(-0.264099\pi\)
\(350\) −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 −0.256787 + 0.966468i \(0.582664\pi\)
−0.996376 + 0.0850601i \(0.972892\pi\)
\(354\) −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 −0.942852 0.333212i \(-0.891867\pi\)
0.182856 0.983140i \(-0.441466\pi\)
\(360\) 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 −0.285842 0.958277i \(-0.592273\pi\)
0.397001 + 0.917818i \(0.370051\pi\)
\(368\) 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 0.359677 0.933077i \(-0.382887\pi\)
0.875299 + 0.483582i \(0.160665\pi\)
\(374\) −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 0.606064 0.795416i \(-0.292748\pi\)
0.888574 0.458734i \(-0.151697\pi\)
\(380\) −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 0.667705 0.744426i \(-0.267277\pi\)
−0.617171 + 0.786829i \(0.711721\pi\)
\(384\) 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 −0.176182 0.984358i \(-0.556375\pi\)
0.497770 + 0.867309i \(0.334153\pi\)
\(390\) −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 0.248236 + 0.968699i \(0.420149\pi\)
−0.963037 + 0.269371i \(0.913184\pi\)
\(398\) 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 0.0614837 0.998108i \(-0.480417\pi\)
−0.594472 + 0.804116i \(0.702639\pi\)
\(410\) 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 0.409923 0.912120i \(-0.365556\pi\)
−0.272280 + 0.962218i \(0.587778\pi\)
\(420\) 197.779 + 165.956i 0.0229777 + 0.0192806i
\(421\) −7547.86 + 13073.3i −0.873777 + 1.51343i −0.0157175 + 0.999876i \(0.505003\pi\)
−0.858060 + 0.513550i \(0.828330\pi\)
\(422\) 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 0.866999 0.498310i \(-0.166046\pi\)
−0.340187 + 0.940358i \(0.610490\pi\)
\(432\) 2258.08 + 821.874i 0.251486 + 0.0915334i
\(433\) 2597.66 + 4499.27i 0.288304 + 0.499356i 0.973405 0.229091i \(-0.0735755\pi\)
−0.685101 + 0.728448i \(0.740242\pi\)
\(434\) −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 0.532308 + 0.846551i \(0.321325\pi\)
−0.789743 + 0.613437i \(0.789786\pi\)
\(440\) −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 0.294093 + 0.955777i \(0.404983\pi\)
−0.603252 + 0.797551i \(0.706129\pi\)
\(450\) −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 0.667341 0.744752i \(-0.267432\pi\)
−0.617555 + 0.786527i \(0.711877\pi\)
\(458\) −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 −0.863453 0.504429i \(-0.831703\pi\)
0.346828 + 0.937929i \(0.387259\pi\)
\(462\) 7048.37 2565.40i 0.709783 0.258340i
\(463\) −10894.8 + 3965.37i −1.09357 + 0.398027i −0.824942 0.565217i \(-0.808792\pi\)
−0.268628 + 0.963244i \(0.586570\pi\)
\(464\) 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 −0.907907 0.419171i \(-0.862321\pi\)
0.816966 + 0.576686i \(0.195654\pi\)
\(468\) 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 0.661668 0.749797i \(-0.269849\pi\)
0.0249069 + 0.999690i \(0.492071\pi\)
\(480\) 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 −0.151705 0.988426i \(-0.548476\pi\)
0.931854 0.362833i \(-0.118190\pi\)
\(492\) 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 −0.523151 0.852240i \(-0.675243\pi\)
0.147053 + 0.989129i \(0.453021\pi\)
\(500\) −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 −0.923043 0.384696i \(-0.874306\pi\)
0.735803 0.677196i \(-0.236805\pi\)
\(504\) 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 −0.720462 0.693495i \(-0.756070\pi\)
0.557852 + 0.829941i \(0.311626\pi\)
\(510\) 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 −0.0398294 0.999206i \(-0.512681\pi\)
0.611766 + 0.791038i \(0.290459\pi\)
\(522\) 75.1120 + 63.0265i 0.00629802 + 0.00528466i
\(523\) −12.2269 + 69.3420i −0.00102226 + 0.00579754i −0.985315 0.170749i \(-0.945381\pi\)
0.984292 + 0.176546i \(0.0564925\pi\)
\(524\) 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 −0.794127 0.607751i \(-0.792072\pi\)
0.923392 + 0.383859i \(0.125405\pi\)
\(542\) −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 0.986028 + 0.166580i \(0.0532723\pi\)
−0.348752 + 0.937215i \(0.613394\pi\)
\(548\) 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 −0.0380280 0.999277i \(-0.512108\pi\)
−0.671454 + 0.741046i \(0.734330\pi\)
\(558\) −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 0.991799 + 0.127806i \(0.0407936\pi\)
−0.385216 + 0.922826i \(0.625873\pi\)
\(564\) −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 −0.782949 0.622086i \(-0.786285\pi\)
0.930217 + 0.367011i \(0.119619\pi\)
\(570\) −124.841 708.010i −0.00917373 0.0520268i
\(571\) −632.906 3589.39i −0.0463858 0.263067i 0.952791 0.303626i \(-0.0981973\pi\)
−0.999177 + 0.0405588i \(0.987086\pi\)
\(572\) 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 0.999989 + 0.00464547i \(0.00147870\pi\)
−0.938094 + 0.346382i \(0.887410\pi\)
\(578\) −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 −0.619208 0.785227i \(-0.712546\pi\)
0.850429 0.526090i \(-0.176343\pi\)
\(588\) 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 −0.909491 0.415724i \(-0.863528\pi\)
0.996828 0.0795889i \(-0.0253608\pi\)
\(600\) −2336.70 4047.28i −0.158992 0.275382i
\(601\) 17587.2 14757.4i 1.19367 1.00161i 0.193886 0.981024i \(-0.437891\pi\)
0.999788 0.0205873i \(-0.00655361\pi\)
\(602\) 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 0.998034 0.0626702i \(-0.0199616\pi\)
−0.959280 + 0.282457i \(0.908851\pi\)
\(608\) 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 0.999658 + 0.0261369i \(0.00832059\pi\)
−0.930432 + 0.366464i \(0.880568\pi\)
\(614\) 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 −0.254056 0.967189i \(-0.581765\pi\)
−0.816316 + 0.577606i \(0.803987\pi\)
\(618\) −480.701 832.599i −0.0312891 0.0541942i
\(619\) −5102.08 + 8837.06i −0.331292 + 0.573815i −0.982766 0.184856i \(-0.940818\pi\)
0.651473 + 0.758672i \(0.274151\pi\)
\(620\) −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 −0.522387 0.852709i \(-0.674958\pi\)
−0.948282 + 0.317429i \(0.897180\pi\)
\(632\) −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 0.411069 0.911604i \(-0.365156\pi\)
−0.271071 + 0.962559i \(0.587378\pi\)
\(642\) −2075.65 1741.68i −0.127600 0.107069i
\(643\) 7897.41 13678.7i 0.484360 0.838937i −0.515478 0.856903i \(-0.672386\pi\)
0.999839 + 0.0179661i \(0.00571908\pi\)
\(644\) 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 −0.817220 0.576326i \(-0.804486\pi\)
−0.255572 + 0.966790i \(0.582264\pi\)
\(648\) −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 0.989894 + 0.141809i \(0.0452920\pi\)
0.311548 + 0.950230i \(0.399152\pi\)
\(654\) −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 0.218755 + 0.975780i \(0.429800\pi\)
−0.539299 + 0.842114i \(0.681311\pi\)
\(660\) 264.759 0.0156147
\(661\) −1686.46 + 9564.41i −0.0992373 + 0.562803i 0.894129 + 0.447810i \(0.147796\pi\)
−0.993366 + 0.114993i \(0.963315\pi\)
\(662\) 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 −0.994355 0.106104i \(-0.966162\pi\)
0.970678 + 0.240384i \(0.0772734\pi\)
\(674\) −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 −0.997169 0.0751963i \(-0.976042\pi\)
0.433462 0.901172i \(-0.357292\pi\)
\(678\) 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 0.527005 0.849862i \(-0.323315\pi\)
0.928464 0.371422i \(-0.121130\pi\)
\(684\) −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 0.126273 0.991996i \(-0.459698\pi\)
−0.540912 + 0.841079i \(0.681921\pi\)
\(692\) −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 −0.578686 0.815551i \(-0.696434\pi\)
−0.967525 + 0.252776i \(0.918656\pi\)
\(702\) −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 0.970026 + 0.242999i \(0.0781312\pi\)
−0.828416 + 0.560113i \(0.810758\pi\)
\(720\) 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 0.196736 0.980457i \(-0.436966\pi\)
−0.931398 + 0.364001i \(0.881410\pi\)
\(728\) 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 −0.520468 0.853881i \(-0.674243\pi\)
0.781125 0.624375i \(-0.214646\pi\)
\(734\) 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 0.136189 0.990683i \(-0.456515\pi\)
0.741125 + 0.671367i \(0.234292\pi\)
\(744\) −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 0.609429 0.792841i \(-0.291399\pi\)
−0.991335 + 0.131360i \(0.958066\pi\)
\(752\) 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 −0.293485 0.955964i \(-0.594815\pi\)
0.890477 + 0.455027i \(0.150371\pi\)
\(758\) 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 0.779201 + 0.626775i \(0.215625\pi\)
−0.517839 + 0.855478i \(0.673264\pi\)
\(762\) −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 0.186070