Properties

Label 43.5.h.a.3.12
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.12
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.12

$q$-expansion

\(f(q)\) \(=\) \(q+(2.49210 - 5.17490i) q^{2} +(-7.43652 - 0.557291i) q^{3} +(-10.5932 - 13.2835i) q^{4} +(9.68683 - 31.4039i) q^{5} +(-21.4165 + 37.0945i) q^{6} +(-66.6650 + 38.4891i) q^{7} +(-5.54483 + 1.26557i) q^{8} +(-25.1040 - 3.78381i) q^{9} +O(q^{10})\) \(q+(2.49210 - 5.17490i) q^{2} +(-7.43652 - 0.557291i) q^{3} +(-10.5932 - 13.2835i) q^{4} +(9.68683 - 31.4039i) q^{5} +(-21.4165 + 37.0945i) q^{6} +(-66.6650 + 38.4891i) q^{7} +(-5.54483 + 1.26557i) q^{8} +(-25.1040 - 3.78381i) q^{9} +(-138.372 - 128.390i) q^{10} +(42.0444 - 52.7220i) q^{11} +(71.3740 + 104.686i) q^{12} +(46.0248 - 42.7048i) q^{13} +(33.0412 + 440.904i) q^{14} +(-89.5375 + 228.138i) q^{15} +(53.2217 - 233.180i) q^{16} +(364.016 - 112.284i) q^{17} +(-82.1425 + 120.481i) q^{18} +(-36.5253 - 242.329i) q^{19} +(-519.768 + 203.994i) q^{20} +(517.206 - 249.073i) q^{21} +(-168.052 - 348.964i) q^{22} +(-190.472 - 485.315i) q^{23} +(41.9396 - 6.32137i) q^{24} +(-375.973 - 256.334i) q^{25} +(-106.295 - 344.599i) q^{26} +(773.480 + 176.542i) q^{27} +(1217.47 + 477.820i) q^{28} +(1040.08 - 77.9433i) q^{29} +(957.454 + 1031.89i) q^{30} +(-1412.03 + 962.705i) q^{31} +(-1145.19 - 913.262i) q^{32} +(-342.045 + 368.637i) q^{33} +(326.106 - 2163.57i) q^{34} +(562.935 + 2466.38i) q^{35} +(215.670 + 373.551i) q^{36} +(814.342 + 470.160i) q^{37} +(-1345.05 - 414.894i) q^{38} +(-366.064 + 291.926i) q^{39} +(-13.9679 + 186.389i) q^{40} +(844.904 + 406.884i) q^{41} -3297.20i q^{42} +(538.910 + 1768.72i) q^{43} -1145.72 q^{44} +(-362.004 + 751.710i) q^{45} +(-2986.14 - 223.780i) q^{46} +(-217.990 - 273.350i) q^{47} +(-525.734 + 1704.39i) q^{48} +(1762.31 - 3052.42i) q^{49} +(-2263.47 + 1306.81i) q^{50} +(-2769.59 + 632.141i) q^{51} +(-1054.82 - 158.988i) q^{52} +(-2552.93 - 2368.77i) q^{53} +(2841.18 - 3562.73i) q^{54} +(-1248.40 - 1831.07i) q^{55} +(320.936 - 297.785i) q^{56} +(136.573 + 1822.44i) q^{57} +(2188.64 - 5576.56i) q^{58} +(-319.562 + 1400.09i) q^{59} +(3978.95 - 1227.34i) q^{60} +(-1746.05 + 2560.99i) q^{61} +(1462.99 + 9706.28i) q^{62} +(1819.19 - 713.980i) q^{63} +(-4132.14 + 1989.93i) q^{64} +(-895.264 - 1859.03i) q^{65} +(1055.25 + 2688.73i) q^{66} +(8017.08 - 1208.38i) q^{67} +(-5347.63 - 3645.95i) q^{68} +(1145.99 + 3715.21i) q^{69} +(14166.2 + 3233.34i) q^{70} +(676.962 + 265.688i) q^{71} +(143.986 - 10.7903i) q^{72} +(-4059.24 - 4374.82i) q^{73} +(4462.46 - 3042.45i) q^{74} +(2653.08 + 2115.76i) q^{75} +(-2832.05 + 3052.23i) q^{76} +(-773.669 + 5132.96i) q^{77} +(598.421 + 2621.85i) q^{78} +(3185.51 + 5517.47i) q^{79} +(-6807.21 - 3930.14i) q^{80} +(-3688.59 - 1137.78i) q^{81} +(4211.17 - 3358.30i) q^{82} +(295.260 - 3939.97i) q^{83} +(-8787.43 - 4231.80i) q^{84} -12519.2i q^{85} +(10496.0 + 1619.03i) q^{86} -7778.02 q^{87} +(-166.406 + 345.545i) q^{88} +(-6410.17 - 480.376i) q^{89} +(2987.87 + 3746.68i) q^{90} +(-1424.58 + 4618.37i) q^{91} +(-4428.96 + 7671.18i) q^{92} +(11037.1 - 6372.27i) q^{93} +(-1957.81 + 446.858i) q^{94} +(-7963.90 - 1200.37i) q^{95} +(8007.31 + 7429.70i) q^{96} +(2037.64 - 2555.12i) q^{97} +(-11404.1 - 16726.7i) q^{98} +(-1254.97 + 1164.44i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.49210 5.17490i 0.623026 1.29373i −0.315634 0.948881i \(-0.602217\pi\)
0.938660 0.344845i \(-0.112069\pi\)
\(3\) −7.43652 0.557291i −0.826281 0.0619212i −0.345125 0.938557i \(-0.612164\pi\)
−0.481155 + 0.876635i \(0.659783\pi\)
\(4\) −10.5932 13.2835i −0.662076 0.830217i
\(5\) 9.68683 31.4039i 0.387473 1.25616i −0.526428 0.850220i \(-0.676469\pi\)
0.913901 0.405937i \(-0.133055\pi\)
\(6\) −21.4165 + 37.0945i −0.594903 + 1.03040i
\(7\) −66.6650 + 38.4891i −1.36051 + 0.785491i −0.989692 0.143214i \(-0.954256\pi\)
−0.370819 + 0.928705i \(0.620923\pi\)
\(8\) −5.54483 + 1.26557i −0.0866380 + 0.0197746i
\(9\) −25.1040 3.78381i −0.309926 0.0467138i
\(10\) −138.372 128.390i −1.38372 1.28390i
\(11\) 42.0444 52.7220i 0.347474 0.435719i −0.577128 0.816654i \(-0.695826\pi\)
0.924602 + 0.380935i \(0.124398\pi\)
\(12\) 71.3740 + 104.686i 0.495653 + 0.726989i
\(13\) 46.0248 42.7048i 0.272336 0.252691i −0.532167 0.846639i \(-0.678622\pi\)
0.804503 + 0.593948i \(0.202432\pi\)
\(14\) 33.0412 + 440.904i 0.168577 + 2.24951i
\(15\) −89.5375 + 228.138i −0.397944 + 1.01395i
\(16\) 53.2217 233.180i 0.207897 0.910858i
\(17\) 364.016 112.284i 1.25957 0.388526i 0.408105 0.912935i \(-0.366190\pi\)
0.851467 + 0.524409i \(0.175714\pi\)
\(18\) −82.1425 + 120.481i −0.253526 + 0.371855i
\(19\) −36.5253 242.329i −0.101178 0.671272i −0.980715 0.195442i \(-0.937386\pi\)
0.879537 0.475830i \(-0.157852\pi\)
\(20\) −519.768 + 203.994i −1.29942 + 0.509985i
\(21\) 517.206 249.073i 1.17280 0.564791i
\(22\) −168.052 348.964i −0.347215 0.721000i
\(23\) −190.472 485.315i −0.360061 0.917420i −0.990037 0.140806i \(-0.955031\pi\)
0.629976 0.776614i \(-0.283065\pi\)
\(24\) 41.9396 6.32137i 0.0728118 0.0109746i
\(25\) −375.973 256.334i −0.601557 0.410134i
\(26\) −106.295 344.599i −0.157241 0.509761i
\(27\) 773.480 + 176.542i 1.06102 + 0.242170i
\(28\) 1217.47 + 477.820i 1.55289 + 0.609464i
\(29\) 1040.08 77.9433i 1.23672 0.0926793i 0.559732 0.828674i \(-0.310904\pi\)
0.676987 + 0.735995i \(0.263285\pi\)
\(30\) 957.454 + 1031.89i 1.06384 + 1.14654i
\(31\) −1412.03 + 962.705i −1.46933 + 1.00177i −0.476905 + 0.878955i \(0.658241\pi\)
−0.992429 + 0.122820i \(0.960806\pi\)
\(32\) −1145.19 913.262i −1.11835 0.891857i
\(33\) −342.045 + 368.637i −0.314091 + 0.338510i
\(34\) 326.106 2163.57i 0.282099 1.87160i
\(35\) 562.935 + 2466.38i 0.459539 + 2.01337i
\(36\) 215.670 + 373.551i 0.166412 + 0.288234i
\(37\) 814.342 + 470.160i 0.594844 + 0.343433i 0.767011 0.641634i \(-0.221743\pi\)
−0.172166 + 0.985068i \(0.555077\pi\)
\(38\) −1345.05 414.894i −0.931478 0.287323i
\(39\) −366.064 + 291.926i −0.240673 + 0.191930i
\(40\) −13.9679 + 186.389i −0.00872995 + 0.116493i
\(41\) 844.904 + 406.884i 0.502620 + 0.242049i 0.667973 0.744186i \(-0.267162\pi\)
−0.165353 + 0.986234i \(0.552876\pi\)
\(42\) 3297.20i 1.86916i
\(43\) 538.910 + 1768.72i 0.291460 + 0.956583i
\(44\) −1145.72 −0.591796
\(45\) −362.004 + 751.710i −0.178768 + 0.371215i
\(46\) −2986.14 223.780i −1.41122 0.105756i
\(47\) −217.990 273.350i −0.0986825 0.123744i 0.730038 0.683406i \(-0.239502\pi\)
−0.828721 + 0.559662i \(0.810931\pi\)
\(48\) −525.734 + 1704.39i −0.228183 + 0.739751i
\(49\) 1762.31 3052.42i 0.733992 1.27131i
\(50\) −2263.47 + 1306.81i −0.905387 + 0.522725i
\(51\) −2769.59 + 632.141i −1.06482 + 0.243038i
\(52\) −1054.82 158.988i −0.390096 0.0587975i
\(53\) −2552.93 2368.77i −0.908839 0.843279i 0.0792990 0.996851i \(-0.474732\pi\)
−0.988137 + 0.153572i \(0.950922\pi\)
\(54\) 2841.18 3562.73i 0.974341 1.22179i
\(55\) −1248.40 1831.07i −0.412694 0.605312i
\(56\) 320.936 297.785i 0.102339 0.0949569i
\(57\) 136.573 + 1822.44i 0.0420354 + 0.560924i
\(58\) 2188.64 5576.56i 0.650606 1.65772i
\(59\) −319.562 + 1400.09i −0.0918018 + 0.402210i −0.999862 0.0166305i \(-0.994706\pi\)
0.908060 + 0.418840i \(0.137563\pi\)
\(60\) 3978.95 1227.34i 1.10526 0.340929i
\(61\) −1746.05 + 2560.99i −0.469243 + 0.688253i −0.985786 0.168008i \(-0.946266\pi\)
0.516542 + 0.856262i \(0.327219\pi\)
\(62\) 1462.99 + 9706.28i 0.380589 + 2.52505i
\(63\) 1819.19 713.980i 0.458350 0.179889i
\(64\) −4132.14 + 1989.93i −1.00882 + 0.485823i
\(65\) −895.264 1859.03i −0.211897 0.440008i
\(66\) 1055.25 + 2688.73i 0.242252 + 0.617248i
\(67\) 8017.08 1208.38i 1.78594 0.269187i 0.828953 0.559319i \(-0.188937\pi\)
0.956987 + 0.290132i \(0.0936991\pi\)
\(68\) −5347.63 3645.95i −1.15649 0.788484i
\(69\) 1145.99 + 3715.21i 0.240704 + 0.780342i
\(70\) 14166.2 + 3233.34i 2.89106 + 0.659864i
\(71\) 676.962 + 265.688i 0.134291 + 0.0527054i 0.431535 0.902096i \(-0.357972\pi\)
−0.297244 + 0.954802i \(0.596067\pi\)
\(72\) 143.986 10.7903i 0.0277751 0.00208145i
\(73\) −4059.24 4374.82i −0.761726 0.820945i 0.226490 0.974014i \(-0.427275\pi\)
−0.988216 + 0.153068i \(0.951085\pi\)
\(74\) 4462.46 3042.45i 0.814912 0.555597i
\(75\) 2653.08 + 2115.76i 0.471659 + 0.376135i
\(76\) −2832.05 + 3052.23i −0.490314 + 0.528433i
\(77\) −773.669 + 5132.96i −0.130489 + 0.865738i
\(78\) 598.421 + 2621.85i 0.0983598 + 0.430943i
\(79\) 3185.51 + 5517.47i 0.510417 + 0.884068i 0.999927 + 0.0120707i \(0.00384232\pi\)
−0.489510 + 0.871998i \(0.662824\pi\)
\(80\) −6807.21 3930.14i −1.06363 0.614085i
\(81\) −3688.59 1137.78i −0.562200 0.173416i
\(82\) 4211.17 3358.30i 0.626290 0.499449i
\(83\) 295.260 3939.97i 0.0428596 0.571922i −0.933893 0.357553i \(-0.883611\pi\)
0.976753 0.214369i \(-0.0687696\pi\)
\(84\) −8787.43 4231.80i −1.24538 0.599745i
\(85\) 12519.2i 1.73276i
\(86\) 10496.0 + 1619.03i 1.41914 + 0.218906i
\(87\) −7778.02 −1.02762
\(88\) −166.406 + 345.545i −0.0214883 + 0.0446210i
\(89\) −6410.17 480.376i −0.809263 0.0606458i −0.336330 0.941744i \(-0.609186\pi\)
−0.472933 + 0.881098i \(0.656805\pi\)
\(90\) 2987.87 + 3746.68i 0.368873 + 0.462553i
\(91\) −1424.58 + 4618.37i −0.172030 + 0.557706i
\(92\) −4428.96 + 7671.18i −0.523270 + 0.906331i
\(93\) 11037.1 6372.27i 1.27611 0.736764i
\(94\) −1957.81 + 446.858i −0.221573 + 0.0505725i
\(95\) −7963.90 1200.37i −0.882427 0.133004i
\(96\) 8007.31 + 7429.70i 0.868849 + 0.806174i
\(97\) 2037.64 2555.12i 0.216563 0.271561i −0.661669 0.749796i \(-0.730152\pi\)
0.878232 + 0.478235i \(0.158723\pi\)
\(98\) −11404.1 16726.7i −1.18743 1.74164i
\(99\) −1254.97 + 1164.44i −0.128045 + 0.118809i
\(100\) 577.757 + 7709.63i 0.0577757 + 0.770963i
\(101\) 5411.88 13789.2i 0.530524 1.35175i −0.374828 0.927094i \(-0.622298\pi\)
0.905353 0.424660i \(-0.139606\pi\)
\(102\) −3630.83 + 15907.7i −0.348984 + 1.52900i
\(103\) 2397.81 739.627i 0.226017 0.0697170i −0.179678 0.983725i \(-0.557506\pi\)
0.405695 + 0.914008i \(0.367029\pi\)
\(104\) −201.154 + 295.039i −0.0185978 + 0.0272780i
\(105\) −2811.79 18655.0i −0.255038 1.69206i
\(106\) −18620.3 + 7307.93i −1.65720 + 0.650404i
\(107\) 17156.8 8262.27i 1.49854 0.721659i 0.508319 0.861169i \(-0.330267\pi\)
0.990221 + 0.139510i \(0.0445527\pi\)
\(108\) −5848.56 12144.7i −0.501419 1.04121i
\(109\) 6352.15 + 16185.0i 0.534647 + 1.36226i 0.901822 + 0.432107i \(0.142230\pi\)
−0.367175 + 0.930152i \(0.619675\pi\)
\(110\) −12586.7 + 1897.15i −1.04023 + 0.156789i
\(111\) −5793.86 3950.18i −0.470242 0.320606i
\(112\) 5426.84 + 17593.4i 0.432624 + 1.40253i
\(113\) −1134.89 259.032i −0.0888787 0.0202860i 0.177850 0.984058i \(-0.443086\pi\)
−0.266729 + 0.963772i \(0.585943\pi\)
\(114\) 9771.32 + 3834.96i 0.751871 + 0.295088i
\(115\) −17085.9 + 1280.41i −1.29194 + 0.0968174i
\(116\) −12053.2 12990.2i −0.895746 0.965384i
\(117\) −1316.99 + 897.910i −0.0962081 + 0.0655936i
\(118\) 6448.96 + 5142.87i 0.463154 + 0.369353i
\(119\) −19945.4 + 21496.1i −1.40848 + 1.51798i
\(120\) 207.746 1378.30i 0.0144268 0.0957154i
\(121\) 2246.05 + 9840.59i 0.153408 + 0.672126i
\(122\) 8901.54 + 15417.9i 0.598061 + 1.03587i
\(123\) −6056.39 3496.66i −0.400317 0.231123i
\(124\) 27746.0 + 8558.51i 1.80450 + 0.556615i
\(125\) 4366.93 3482.51i 0.279484 0.222881i
\(126\) 838.833 11193.5i 0.0528366 0.705055i
\(127\) 22656.4 + 10910.8i 1.40470 + 0.676469i 0.974109 0.226077i \(-0.0725902\pi\)
0.430593 + 0.902546i \(0.358304\pi\)
\(128\) 2906.39i 0.177392i
\(129\) −3021.92 13453.5i −0.181595 0.808453i
\(130\) −11851.4 −0.701267
\(131\) −10441.3 + 21681.5i −0.608429 + 1.26342i 0.338195 + 0.941076i \(0.390184\pi\)
−0.946624 + 0.322340i \(0.895531\pi\)
\(132\) 8520.15 + 638.497i 0.488989 + 0.0366447i
\(133\) 11762.0 + 14749.1i 0.664932 + 0.833798i
\(134\) 13726.1 44499.0i 0.764432 2.47823i
\(135\) 13036.7 22580.2i 0.715319 1.23897i
\(136\) −1876.31 + 1083.29i −0.101444 + 0.0585686i
\(137\) −4964.95 + 1133.22i −0.264529 + 0.0603771i −0.352728 0.935726i \(-0.614746\pi\)
0.0881990 + 0.996103i \(0.471889\pi\)
\(138\) 22081.8 + 3328.29i 1.15951 + 0.174769i
\(139\) −22951.4 21295.8i −1.18790 1.10221i −0.992595 0.121468i \(-0.961240\pi\)
−0.195305 0.980743i \(-0.562570\pi\)
\(140\) 26798.8 33604.6i 1.36729 1.71452i
\(141\) 1468.75 + 2154.26i 0.0738771 + 0.108358i
\(142\) 3061.97 2841.09i 0.151853 0.140899i
\(143\) −316.396 4222.02i −0.0154725 0.206466i
\(144\) −2218.38 + 5652.35i −0.106982 + 0.272586i
\(145\) 7627.36 33417.6i 0.362776 1.58942i
\(146\) −32755.3 + 10103.7i −1.53665 + 0.473995i
\(147\) −14806.6 + 21717.3i −0.685204 + 1.00501i
\(148\) −2381.13 15797.8i −0.108708 0.721229i
\(149\) −16256.9 + 6380.37i −0.732261 + 0.287391i −0.702026 0.712152i \(-0.747721\pi\)
−0.0302351 + 0.999543i \(0.509626\pi\)
\(150\) 17560.6 8456.74i 0.780471 0.375855i
\(151\) −1654.08 3434.74i −0.0725444 0.150640i 0.861543 0.507685i \(-0.169499\pi\)
−0.934087 + 0.357045i \(0.883784\pi\)
\(152\) 509.211 + 1297.45i 0.0220400 + 0.0561569i
\(153\) −9563.11 + 1441.41i −0.408523 + 0.0615749i
\(154\) 24634.5 + 16795.5i 1.03873 + 0.708194i
\(155\) 16554.6 + 53668.8i 0.689059 + 2.23387i
\(156\) 7755.59 + 1770.16i 0.318688 + 0.0727384i
\(157\) −32796.8 12871.8i −1.33055 0.522204i −0.409739 0.912203i \(-0.634380\pi\)
−0.920815 + 0.389999i \(0.872475\pi\)
\(158\) 36491.0 2734.62i 1.46175 0.109543i
\(159\) 17664.8 + 19038.1i 0.698739 + 0.753061i
\(160\) −39773.3 + 27117.0i −1.55364 + 1.05926i
\(161\) 31377.2 + 25022.5i 1.21049 + 0.965335i
\(162\) −15080.2 + 16252.6i −0.574617 + 0.619290i
\(163\) 6509.29 43186.3i 0.244996 1.62544i −0.440772 0.897619i \(-0.645295\pi\)
0.685768 0.727820i \(-0.259467\pi\)
\(164\) −3545.41 15533.5i −0.131819 0.577538i
\(165\) 8263.33 + 14312.5i 0.303520 + 0.525712i
\(166\) −19653.1 11346.8i −0.713208 0.411771i
\(167\) −17340.4 5348.81i −0.621765 0.191789i −0.0321625 0.999483i \(-0.510239\pi\)
−0.589602 + 0.807694i \(0.700716\pi\)
\(168\) −2552.60 + 2035.63i −0.0904407 + 0.0721240i
\(169\) −1839.78 + 24550.2i −0.0644159 + 0.859570i
\(170\) −64785.7 31199.2i −2.24172 1.07956i
\(171\) 6221.63i 0.212771i
\(172\) 17786.0 25895.1i 0.601203 0.875306i
\(173\) 24599.7 0.821935 0.410967 0.911650i \(-0.365191\pi\)
0.410967 + 0.911650i \(0.365191\pi\)
\(174\) −19383.6 + 40250.5i −0.640231 + 1.32945i
\(175\) 34930.3 + 2617.66i 1.14058 + 0.0854747i
\(176\) −10056.0 12609.8i −0.324639 0.407084i
\(177\) 3156.69 10233.7i 0.100759 0.326654i
\(178\) −18460.7 + 31974.9i −0.582650 + 1.00918i
\(179\) −29853.2 + 17235.7i −0.931718 + 0.537927i −0.887354 0.461088i \(-0.847459\pi\)
−0.0443633 + 0.999015i \(0.514126\pi\)
\(180\) 13820.1 3154.35i 0.426547 0.0973565i
\(181\) 7381.67 + 1112.61i 0.225319 + 0.0339614i 0.260731 0.965411i \(-0.416036\pi\)
−0.0354124 + 0.999373i \(0.511274\pi\)
\(182\) 20349.4 + 18881.5i 0.614340 + 0.570025i
\(183\) 14411.8 18071.8i 0.430344 0.539634i
\(184\) 1670.34 + 2449.94i 0.0493366 + 0.0723634i
\(185\) 22653.3 21019.2i 0.661893 0.614147i
\(186\) −5470.32 72996.3i −0.158120 2.10996i
\(187\) 9384.99 23912.6i 0.268380 0.683822i
\(188\) −1321.83 + 5791.32i −0.0373990 + 0.163856i
\(189\) −58359.0 + 18001.4i −1.63374 + 0.503944i
\(190\) −26058.6 + 38221.0i −0.721846 + 1.05875i
\(191\) 2315.30 + 15361.0i 0.0634660 + 0.421069i 0.997891 + 0.0649097i \(0.0206759\pi\)
−0.934425 + 0.356160i \(0.884086\pi\)
\(192\) 31837.7 12495.4i 0.863653 0.338959i
\(193\) 41506.1 19988.3i 1.11429 0.536612i 0.216164 0.976357i \(-0.430645\pi\)
0.898123 + 0.439745i \(0.144931\pi\)
\(194\) −8144.48 16912.2i −0.216401 0.449362i
\(195\) 5621.63 + 14323.7i 0.147840 + 0.376691i
\(196\) −59215.3 + 8925.27i −1.54142 + 0.232332i
\(197\) 34854.9 + 23763.7i 0.898115 + 0.612324i 0.921915 0.387392i \(-0.126624\pi\)
−0.0238002 + 0.999717i \(0.507577\pi\)
\(198\) 2898.36 + 9396.26i 0.0739303 + 0.239676i
\(199\) −1171.96 267.493i −0.0295943 0.00675471i 0.207698 0.978193i \(-0.433403\pi\)
−0.237292 + 0.971438i \(0.576260\pi\)
\(200\) 2409.12 + 945.508i 0.0602279 + 0.0236377i
\(201\) −60292.6 + 4518.31i −1.49236 + 0.111837i
\(202\) −57871.1 62370.2i −1.41827 1.52853i
\(203\) −66337.0 + 45227.8i −1.60977 + 1.09752i
\(204\) 37735.9 + 30093.4i 0.906764 + 0.723120i
\(205\) 20962.2 22591.9i 0.498803 0.537582i
\(206\) 2148.09 14251.7i 0.0506196 0.335839i
\(207\) 2945.27 + 12904.1i 0.0687359 + 0.301152i
\(208\) −7508.37 13004.9i −0.173548 0.300593i
\(209\) −14311.8 8262.90i −0.327643 0.189165i
\(210\) −103545. 31939.5i −2.34796 0.724251i
\(211\) 1476.42 1177.41i 0.0331624 0.0264462i −0.606768 0.794879i \(-0.707534\pi\)
0.639931 + 0.768433i \(0.278963\pi\)
\(212\) −4421.79 + 59004.6i −0.0983844 + 1.31285i
\(213\) −4886.18 2353.06i −0.107699 0.0518649i
\(214\) 109375.i 2.38831i
\(215\) 60765.1 + 209.421i 1.31455 + 0.00453046i
\(216\) −4512.25 −0.0967131
\(217\) 57079.3 118526.i 1.21216 2.51707i
\(218\) 99586.0 + 7462.94i 2.09549 + 0.157035i
\(219\) 27748.6 + 34795.6i 0.578566 + 0.725498i
\(220\) −11098.4 + 35980.0i −0.229305 + 0.743388i
\(221\) 11958.7 20713.1i 0.244850 0.424092i
\(222\) −34880.7 + 20138.4i −0.707749 + 0.408619i
\(223\) −55004.6 + 12554.4i −1.10609 + 0.252457i −0.736297 0.676659i \(-0.763427\pi\)
−0.369789 + 0.929116i \(0.620570\pi\)
\(224\) 111495. + 16805.2i 2.22208 + 0.334924i
\(225\) 8468.49 + 7857.61i 0.167279 + 0.155212i
\(226\) −4168.73 + 5227.42i −0.0816182 + 0.102346i
\(227\) 33904.5 + 49728.8i 0.657969 + 0.965064i 0.999681 + 0.0252587i \(0.00804095\pi\)
−0.341712 + 0.939805i \(0.611007\pi\)
\(228\) 22761.6 21119.7i 0.437858 0.406273i
\(229\) 1392.15 + 18576.9i 0.0265469 + 0.354244i 0.994621 + 0.103580i \(0.0330298\pi\)
−0.968074 + 0.250664i \(0.919351\pi\)
\(230\) −35953.8 + 91608.7i −0.679655 + 1.73173i
\(231\) 8613.96 37740.2i 0.161428 0.707262i
\(232\) −5668.43 + 1748.48i −0.105314 + 0.0324851i
\(233\) 32622.7 47848.7i 0.600908 0.881370i −0.398450 0.917190i \(-0.630452\pi\)
0.999358 + 0.0358200i \(0.0114043\pi\)
\(234\) 1364.52 + 9053.00i 0.0249200 + 0.165333i
\(235\) −10695.9 + 4197.83i −0.193679 + 0.0760133i
\(236\) 21983.3 10586.6i 0.394701 0.190078i
\(237\) −20614.3 42806.1i −0.367005 0.762094i
\(238\) 61534.0 + 156786.i 1.08633 + 2.76792i
\(239\) 73961.7 11147.9i 1.29483 0.195164i 0.534757 0.845006i \(-0.320403\pi\)
0.760069 + 0.649842i \(0.225165\pi\)
\(240\) 48431.7 + 33020.2i 0.840829 + 0.573267i
\(241\) 17366.6 + 56301.0i 0.299006 + 0.969354i 0.973037 + 0.230650i \(0.0740854\pi\)
−0.674031 + 0.738703i \(0.735438\pi\)
\(242\) 56521.5 + 12900.7i 0.965124 + 0.220283i
\(243\) −33024.6 12961.2i −0.559275 0.219499i
\(244\) 52515.2 3935.47i 0.882074 0.0661023i
\(245\) −78786.7 84911.9i −1.31256 1.41461i
\(246\) −33188.0 + 22627.2i −0.548417 + 0.373905i
\(247\) −12029.7 9593.36i −0.197179 0.157245i
\(248\) 6611.09 7125.07i 0.107490 0.115847i
\(249\) −4391.42 + 29135.1i −0.0708282 + 0.469914i
\(250\) −7138.82 31277.2i −0.114221 0.500435i
\(251\) −19402.3 33605.8i −0.307969 0.533417i 0.669949 0.742407i \(-0.266316\pi\)
−0.977918 + 0.208990i \(0.932983\pi\)
\(252\) −28755.2 16601.8i −0.452810 0.261430i
\(253\) −33595.1 10362.7i −0.524849 0.161895i
\(254\) 112924. 90054.2i 1.75033 1.39584i
\(255\) −6976.84 + 93099.5i −0.107295 + 1.43175i
\(256\) −51073.9 24595.9i −0.779326 0.375304i
\(257\) 112920.i 1.70963i 0.518930 + 0.854817i \(0.326331\pi\)
−0.518930 + 0.854817i \(0.673669\pi\)
\(258\) −77151.4 17889.3i −1.15906 0.268753i
\(259\) −72384.1 −1.07906
\(260\) −15210.7 + 31585.4i −0.225011 + 0.467239i
\(261\) −26405.1 1978.79i −0.387620 0.0290481i
\(262\) 86178.9 + 108065.i 1.25545 + 1.57428i
\(263\) −2465.14 + 7991.79i −0.0356394 + 0.115540i −0.971645 0.236446i \(-0.924017\pi\)
0.936005 + 0.351986i \(0.114494\pi\)
\(264\) 1430.05 2476.92i 0.0205184 0.0355388i
\(265\) −99118.5 + 57226.1i −1.41144 + 0.814896i
\(266\) 105637. 24111.0i 1.49298 0.340762i
\(267\) 47401.7 + 7144.65i 0.664923 + 0.100221i
\(268\) −100978. 93694.1i −1.40591 1.30450i
\(269\) 29230.1 36653.4i 0.403948 0.506535i −0.537699 0.843137i \(-0.680706\pi\)
0.941647 + 0.336602i \(0.109278\pi\)
\(270\) −84361.6 123736.i −1.15722 1.69734i
\(271\) 37666.5 34949.4i 0.512881 0.475884i −0.380756 0.924676i \(-0.624336\pi\)
0.893636 + 0.448792i \(0.148146\pi\)
\(272\) −6808.80 90857.1i −0.0920307 1.22806i
\(273\) 13167.7 33550.7i 0.176679 0.450170i
\(274\) −6508.87 + 28517.2i −0.0866971 + 0.379845i
\(275\) −29322.0 + 9044.63i −0.387729 + 0.119598i
\(276\) 37211.2 54578.7i 0.488489 0.716482i
\(277\) 499.986 + 3317.19i 0.00651625 + 0.0432325i 0.991853 0.127390i \(-0.0406601\pi\)
−0.985336 + 0.170623i \(0.945422\pi\)
\(278\) −167401. + 65700.1i −2.16605 + 0.850112i
\(279\) 39090.2 18824.9i 0.502181 0.241837i
\(280\) −6242.76 12963.2i −0.0796271 0.165347i
\(281\) −54843.9 139740.i −0.694570 1.76973i −0.636310 0.771433i \(-0.719540\pi\)
−0.0582593 0.998301i \(-0.518555\pi\)
\(282\) 14808.4 2232.00i 0.186213 0.0280670i
\(283\) −45446.1 30984.7i −0.567446 0.386878i 0.245343 0.969436i \(-0.421099\pi\)
−0.812789 + 0.582558i \(0.802052\pi\)
\(284\) −3641.95 11806.9i −0.0451541 0.146386i
\(285\) 58554.8 + 13364.8i 0.720896 + 0.164540i
\(286\) −22637.0 8884.38i −0.276750 0.108616i
\(287\) −71986.1 + 5394.61i −0.873946 + 0.0654932i
\(288\) 25293.3 + 27259.7i 0.304944 + 0.328652i
\(289\) 50891.8 34697.4i 0.609329 0.415434i
\(290\) −153925. 122751.i −1.83026 1.45958i
\(291\) −16576.9 + 17865.6i −0.195757 + 0.210976i
\(292\) −15112.4 + 100264.i −0.177242 + 1.17593i
\(293\) 19421.4 + 85090.6i 0.226227 + 0.991166i 0.952686 + 0.303956i \(0.0983075\pi\)
−0.726459 + 0.687210i \(0.758835\pi\)
\(294\) 75485.2 + 130744.i 0.873308 + 1.51261i
\(295\) 40872.9 + 23598.0i 0.469668 + 0.271163i
\(296\) −5110.41 1576.35i −0.0583274 0.0179916i
\(297\) 41828.1 33356.8i 0.474193 0.378157i
\(298\) −7496.10 + 100029.i −0.0844118 + 1.12640i
\(299\) −29491.7 14202.5i −0.329882 0.158863i
\(300\) 57654.8i 0.640609i
\(301\) −104003. 97169.7i −1.14792 1.07250i
\(302\) −21896.6 −0.240084
\(303\) −47930.2 + 99528.1i −0.522064 + 1.08408i
\(304\) −58450.2 4380.23i −0.632468 0.0473969i
\(305\) 63511.5 + 79640.8i 0.682735 + 0.856123i
\(306\) −16373.1 + 53080.3i −0.174859 + 0.566879i
\(307\) −7424.19 + 12859.1i −0.0787721 + 0.136437i −0.902720 0.430228i \(-0.858433\pi\)
0.823948 + 0.566665i \(0.191767\pi\)
\(308\) 76379.2 44097.5i 0.805144 0.464850i
\(309\) −18243.6 + 4163.98i −0.191070 + 0.0436105i
\(310\) 318987. + 48079.5i 3.31932 + 0.500307i
\(311\) 63525.5 + 58943.0i 0.656791 + 0.609413i 0.936498 0.350672i \(-0.114047\pi\)
−0.279707 + 0.960085i \(0.590237\pi\)
\(312\) 1660.31 2081.96i 0.0170561 0.0213877i
\(313\) 59278.0 + 86944.9i 0.605069 + 0.887473i 0.999505 0.0314500i \(-0.0100125\pi\)
−0.394436 + 0.918923i \(0.629060\pi\)
\(314\) −148343. + 137643.i −1.50456 + 1.39603i
\(315\) −4799.58 64046.0i −0.0483707 0.645462i
\(316\) 39546.3 100762.i 0.396034 1.00908i
\(317\) −29328.9 + 128498.i −0.291862 + 1.27873i 0.590069 + 0.807353i \(0.299101\pi\)
−0.881931 + 0.471379i \(0.843757\pi\)
\(318\) 142543. 43968.7i 1.40959 0.434800i
\(319\) 39620.2 58112.2i 0.389346 0.571065i
\(320\) 22464.4 + 149041.i 0.219379 + 1.45548i
\(321\) −132191. + 51881.3i −1.28290 + 0.503501i
\(322\) 207684. 100015.i 2.00305 0.964616i
\(323\) −40505.5 84110.5i −0.388248 0.806205i
\(324\) 23960.4 + 61050.1i 0.228246 + 0.581562i
\(325\) −28250.8 + 4258.12i −0.267463 + 0.0403136i
\(326\) −207263. 141310.i −1.95023 1.32965i
\(327\) −38218.1 123900.i −0.357416 1.15871i
\(328\) −5199.79 1186.82i −0.0483324 0.0110315i
\(329\) 25053.3 + 9832.69i 0.231458 + 0.0908407i
\(330\) 94658.9 7093.70i 0.869227 0.0651396i
\(331\) −83056.8 89513.9i −0.758087 0.817023i 0.229630 0.973278i \(-0.426248\pi\)
−0.987717 + 0.156255i \(0.950058\pi\)
\(332\) −55464.2 + 37814.9i −0.503196 + 0.343073i
\(333\) −18664.2 14884.2i −0.168314 0.134226i
\(334\) −70893.6 + 76405.1i −0.635498 + 0.684904i
\(335\) 39712.2 263473.i 0.353862 2.34772i
\(336\) −30552.2 133858.i −0.270622 1.18567i
\(337\) 73648.4 + 127563.i 0.648490 + 1.12322i 0.983484 + 0.180997i \(0.0579325\pi\)
−0.334994 + 0.942220i \(0.608734\pi\)
\(338\) 122460. + 70702.2i 1.07192 + 0.618870i
\(339\) 8295.30 + 2558.76i 0.0721826 + 0.0222654i
\(340\) −166299. + 132619.i −1.43857 + 1.14722i
\(341\) −8612.16 + 114921.i −0.0740634 + 0.988307i
\(342\) 32196.3 + 15504.9i 0.275267 + 0.132562i
\(343\) 86494.9i 0.735194i
\(344\) −5226.61 9125.24i −0.0441675 0.0771129i
\(345\) 127773. 1.07350
\(346\) 61304.9 127301.i 0.512086 1.06336i
\(347\) 49774.3 + 3730.07i 0.413377 + 0.0309783i 0.279796 0.960060i \(-0.409733\pi\)
0.133581 + 0.991038i \(0.457352\pi\)
\(348\) 82394.3 + 103319.i 0.680360 + 0.853144i
\(349\) −11917.4 + 38635.1i −0.0978428 + 0.317199i −0.991241 0.132068i \(-0.957838\pi\)
0.893398 + 0.449266i \(0.148315\pi\)
\(350\) 100596. 174237.i 0.821192 1.42235i
\(351\) 43138.5 24906.0i 0.350147 0.202158i
\(352\) −96297.9 + 21979.4i −0.777198 + 0.177390i
\(353\) −4809.95 724.983i −0.0386003 0.00581806i 0.129714 0.991551i \(-0.458594\pi\)
−0.168314 + 0.985733i \(0.553832\pi\)
\(354\) −45091.8 41839.1i −0.359825 0.333868i
\(355\) 14901.3 18685.6i 0.118241 0.148269i
\(356\) 61523.3 + 90238.0i 0.485444 + 0.712016i
\(357\) 160304. 148741.i 1.25779 1.16706i
\(358\) 14796.1 + 197440.i 0.115447 + 1.54053i
\(359\) 26904.9 68552.7i 0.208758 0.531907i −0.787694 0.616066i \(-0.788725\pi\)
0.996452 + 0.0841597i \(0.0268206\pi\)
\(360\) 1055.91 4626.25i 0.00814746 0.0356964i
\(361\) 67141.9 20710.5i 0.515204 0.158919i
\(362\) 24153.5 35426.7i 0.184316 0.270342i
\(363\) −11218.7 74431.5i −0.0851395 0.564864i
\(364\) 76438.8 30000.0i 0.576914 0.226422i
\(365\) −176708. + 85097.9i −1.32639 + 0.638753i
\(366\) −57604.2 119616.i −0.430024 0.892953i
\(367\) −525.224 1338.25i −0.00389953 0.00993585i 0.928911 0.370304i \(-0.120746\pi\)
−0.932810 + 0.360368i \(0.882651\pi\)
\(368\) −123303. + 18584.9i −0.910495 + 0.137235i
\(369\) −19670.9 13411.4i −0.144468 0.0984964i
\(370\) −52317.9 169610.i −0.382161 1.23894i
\(371\) 261363. + 59654.3i 1.89887 + 0.433405i
\(372\) −201564. 79108.2i −1.45656 0.571657i
\(373\) −171268. + 12834.7i −1.23100 + 0.0922506i −0.674296 0.738461i \(-0.735553\pi\)
−0.556703 + 0.830712i \(0.687934\pi\)
\(374\) −100357. 108159.i −0.717470 0.773249i
\(375\) −34415.6 + 23464.1i −0.244733 + 0.166856i
\(376\) 1554.66 + 1239.80i 0.0109966 + 0.00876953i
\(377\) 44541.0 48003.8i 0.313384 0.337748i
\(378\) −52281.3 + 346863.i −0.365900 + 2.42759i
\(379\) 11355.9 + 49753.4i 0.0790574 + 0.346373i 0.998951 0.0457952i \(-0.0145822\pi\)
−0.919893 + 0.392168i \(0.871725\pi\)
\(380\) 68418.3 + 118504.i 0.473811 + 0.820665i
\(381\) −162405. 93764.4i −1.11879 0.645934i
\(382\) 85261.8 + 26299.8i 0.584289 + 0.180229i
\(383\) −159953. + 127559.i −1.09042 + 0.869585i −0.992085 0.125568i \(-0.959925\pi\)
−0.0983397 + 0.995153i \(0.531353\pi\)
\(384\) 1619.70 21613.4i 0.0109843 0.146575i
\(385\) 153701. + 74018.3i 1.03694 + 0.499365i
\(386\) 264603.i 1.77590i
\(387\) −6836.26 46441.1i −0.0456454 0.310085i
\(388\) −55526.0 −0.368836
\(389\) 3060.17 6354.52i 0.0202231 0.0419936i −0.890613 0.454763i \(-0.849724\pi\)
0.910836 + 0.412769i \(0.135438\pi\)
\(390\) 88133.3 + 6604.68i 0.579443 + 0.0434233i
\(391\) −123828. 155276.i −0.809965 1.01566i
\(392\) −5908.68 + 19155.5i −0.0384520 + 0.124658i
\(393\) 89729.5 155416.i 0.580965 1.00626i
\(394\) 209837. 121149.i 1.35173 0.780421i
\(395\) 204128. 46590.8i 1.30830 0.298611i
\(396\) 28762.0 + 4335.18i 0.183413 + 0.0276450i
\(397\) 54121.9 + 50217.8i 0.343394 + 0.318623i 0.832949 0.553349i \(-0.186651\pi\)
−0.489556 + 0.871972i \(0.662841\pi\)
\(398\) −4304.91 + 5398.18i −0.0271768 + 0.0340786i
\(399\) −79248.7 116237.i −0.497790 0.730124i
\(400\) −79781.8 + 74026.7i −0.498636 + 0.462667i
\(401\) 13752.6 + 183516.i 0.0855259 + 1.14126i 0.860562 + 0.509346i \(0.170113\pi\)
−0.775036 + 0.631917i \(0.782268\pi\)
\(402\) −126874. + 323269.i −0.785090 + 2.00038i
\(403\) −23876.3 + 104609.i −0.147013 + 0.644107i
\(404\) −240498. + 74183.9i −1.47350 + 0.454514i
\(405\) −71461.5 + 104815.i −0.435675 + 0.639017i
\(406\) 68730.9 + 456000.i 0.416966 + 2.76639i
\(407\) 59026.3 23166.1i 0.356333 0.139851i
\(408\) 14556.9 7010.23i 0.0874477 0.0421126i
\(409\) −6740.98 13997.8i −0.0402973 0.0836782i 0.879848 0.475255i \(-0.157644\pi\)
−0.920146 + 0.391577i \(0.871930\pi\)
\(410\) −64670.8 164779.i −0.384716 0.980242i
\(411\) 37553.5 5660.28i 0.222314 0.0335085i
\(412\) −35225.4 24016.3i −0.207521 0.141485i
\(413\) −32584.6 105637.i −0.191035 0.619320i
\(414\) 74117.1 + 16916.8i 0.432432 + 0.0986998i
\(415\) −120870. 47438.1i −0.701817 0.275443i
\(416\) −91708.0 + 6872.57i −0.529933 + 0.0397130i
\(417\) 158811. + 171157.i 0.913289 + 0.984291i
\(418\) −78426.0 + 53470.0i −0.448857 + 0.306025i
\(419\) 110629. + 88223.9i 0.630147 + 0.502525i 0.885693 0.464272i \(-0.153684\pi\)
−0.255546 + 0.966797i \(0.582255\pi\)
\(420\) −218017. + 234967.i −1.23593 + 1.33201i
\(421\) −18063.2 + 119841.i −0.101913 + 0.676149i 0.878286 + 0.478135i \(0.158687\pi\)
−0.980199 + 0.198013i \(0.936551\pi\)
\(422\) −2413.58 10574.6i −0.0135530 0.0593797i
\(423\) 4438.10 + 7687.01i 0.0248037 + 0.0429612i
\(424\) 17153.4 + 9903.52i 0.0954154 + 0.0550881i
\(425\) −165642. 51093.9i −0.917052 0.282873i
\(426\) −24353.7 + 19421.4i −0.134198 + 0.107019i
\(427\) 17830.6 237932.i 0.0977934 1.30496i
\(428\) −291497. 140378.i −1.59128 0.766320i
\(429\) 31573.5i 0.171557i
\(430\) 152517. 313932.i 0.824860 1.69785i
\(431\) −22.3707 −0.000120427 −6.02136e−5 1.00000i \(-0.500019\pi\)
−6.02136e−5 1.00000i \(0.500019\pi\)
\(432\) 82331.9 170964.i 0.441165 0.916088i
\(433\) 266334. + 19959.0i 1.42053 + 0.106454i 0.762720 0.646728i \(-0.223863\pi\)
0.657812 + 0.753183i \(0.271482\pi\)
\(434\) −471115. 590760.i −2.50120 3.13640i
\(435\) −75344.4 + 244260.i −0.398173 + 1.29085i
\(436\) 147703. 255830.i 0.776994 1.34579i
\(437\) −110649. + 63883.3i −0.579408 + 0.334522i
\(438\) 249216. 56882.0i 1.29906 0.296501i
\(439\) −269722. 40654.0i −1.39954 0.210947i −0.594468 0.804119i \(-0.702637\pi\)
−0.805076 + 0.593172i \(0.797876\pi\)
\(440\) 9239.52 + 8573.02i 0.0477248 + 0.0442821i
\(441\) −55790.9 + 69959.5i −0.286871 + 0.359724i
\(442\) −77385.9 113504.i −0.396112 0.580989i
\(443\) 133966. 124303.i 0.682635 0.633393i −0.260628 0.965439i \(-0.583930\pi\)
0.943263 + 0.332047i \(0.107739\pi\)
\(444\) 8903.41 + 118808.i 0.0451638 + 0.602669i
\(445\) −77179.9 + 196651.i −0.389748 + 0.993062i
\(446\) −72109.0 + 315930.i −0.362510 + 1.58826i
\(447\) 124451. 38388.0i 0.622848 0.192123i
\(448\) 198878. 291701.i 0.990903 1.45339i
\(449\) 32192.9 + 213586.i 0.159686 + 1.05945i 0.914815 + 0.403872i \(0.132336\pi\)
−0.755129 + 0.655576i \(0.772426\pi\)
\(450\) 61766.7 24241.7i 0.305021 0.119712i
\(451\) 56975.2 27437.8i 0.280113 0.134895i
\(452\) 8581.32 + 17819.3i 0.0420027 + 0.0872195i
\(453\) 10386.5 + 26464.4i 0.0506142 + 0.128963i
\(454\) 341835. 51523.3i 1.65846 0.249973i
\(455\) 131235. + 89474.7i 0.633910 + 0.432193i
\(456\) −3063.71 9932.29i −0.0147339 0.0477661i
\(457\) 35870.1 + 8187.11i 0.171751 + 0.0392011i 0.307532 0.951538i \(-0.400497\pi\)
−0.135780 + 0.990739i \(0.543354\pi\)
\(458\) 99603.0 + 39091.3i 0.474834 + 0.186358i
\(459\) 301382. 22585.5i 1.43051 0.107202i
\(460\) 198003. + 213396.i 0.935741 + 1.00849i
\(461\) −76240.0 + 51979.6i −0.358741 + 0.244586i −0.729256 0.684241i \(-0.760134\pi\)
0.370515 + 0.928827i \(0.379181\pi\)
\(462\) −173835. 138629.i −0.814430 0.649486i
\(463\) −110658. + 119261.i −0.516202 + 0.556334i −0.936325 0.351133i \(-0.885796\pi\)
0.420123 + 0.907467i \(0.361987\pi\)
\(464\) 37180.1 246674.i 0.172693 1.14574i
\(465\) −93199.9 408335.i −0.431032 1.88847i
\(466\) −166313. 288063.i −0.765870 1.32653i
\(467\) 93895.0 + 54210.3i 0.430535 + 0.248570i 0.699575 0.714560i \(-0.253373\pi\)
−0.269039 + 0.963129i \(0.586706\pi\)
\(468\) 25878.6 + 7982.48i 0.118154 + 0.0364457i
\(469\) −487949. + 389127.i −2.21834 + 1.76907i
\(470\) −4931.91 + 65811.7i −0.0223264 + 0.297925i
\(471\) 236721. + 113999.i 1.06708 + 0.513877i
\(472\) 8167.70i 0.0366620i
\(473\) 115909. + 45952.4i 0.518076 + 0.205393i
\(474\) −272890. −1.21459
\(475\) −48384.7 + 100472.i −0.214447 + 0.445305i
\(476\) 496829. + 37232.2i 2.19277 + 0.164325i
\(477\) 55125.6 + 69125.3i 0.242280 + 0.303809i
\(478\) 126631. 410527.i 0.554221 1.79674i
\(479\) −115888. + 200724.i −0.505088 + 0.874838i 0.494895 + 0.868953i \(0.335207\pi\)
−0.999983 + 0.00588479i \(0.998127\pi\)
\(480\) 310887. 179491.i 1.34934 0.779040i
\(481\) 57558.0 13137.2i 0.248780 0.0567825i
\(482\) 334632. + 50437.6i 1.44037 + 0.217100i
\(483\) −219392. 203566.i −0.940431 0.872593i
\(484\) 106924. 134079.i 0.456442 0.572361i
\(485\) −60502.5 88740.8i −0.257211 0.377259i
\(486\) −149374. + 138599.i −0.632414 + 0.586795i
\(487\) −9599.82 128101.i −0.0404767 0.540124i −0.980177 0.198125i \(-0.936515\pi\)
0.939700 0.342000i \(-0.111104\pi\)
\(488\) 6440.46 16410.0i 0.0270444 0.0689080i
\(489\) −72473.8 + 317528.i −0.303084 + 1.32790i
\(490\) −635755. + 196105.i −2.64788 + 0.816762i
\(491\) 29994.3 43993.5i 0.124416 0.182484i −0.758977 0.651117i \(-0.774301\pi\)
0.883393 + 0.468632i \(0.155253\pi\)
\(492\) 17708.9 + 117491.i 0.0731579 + 0.485371i
\(493\) 369854. 145157.i 1.52173 0.597234i
\(494\) −79623.9 + 38344.9i −0.326279 + 0.157128i
\(495\) 24411.4 + 50690.8i 0.0996281 + 0.206880i
\(496\) 149333. + 380493.i 0.607004 + 1.54662i
\(497\) −55355.8 + 8343.54i −0.224104 + 0.0337783i
\(498\) 139828. + 95332.9i 0.563812 + 0.384401i
\(499\) 16255.1 + 52697.6i 0.0652811 + 0.211636i 0.982336 0.187124i \(-0.0599167\pi\)
−0.917055 + 0.398760i \(0.869441\pi\)
\(500\) −92519.7 21117.0i −0.370079 0.0844680i
\(501\) 125972. + 49440.2i 0.501876 + 0.196972i
\(502\) −222260. + 16656.0i −0.881968 + 0.0660944i
\(503\) −79102.1 85251.8i −0.312645 0.336951i 0.557106 0.830441i \(-0.311912\pi\)
−0.869752 + 0.493490i \(0.835721\pi\)
\(504\) −9183.52 + 6261.22i −0.0361533 + 0.0246489i
\(505\) −380613. 303528.i −1.49245 1.19019i
\(506\) −137348. + 148026.i −0.536442 + 0.578147i
\(507\) 27363.2 181543.i 0.106451 0.706257i
\(508\) −95071.7 416536.i −0.368404 1.61408i
\(509\) 43924.4 + 76079.4i 0.169539 + 0.293651i 0.938258 0.345936i \(-0.112439\pi\)
−0.768719 + 0.639587i \(0.779105\pi\)
\(510\) 464394. + 268118.i 1.78544 + 1.03083i
\(511\) 438992. + 135411.i 1.68118 + 0.518576i
\(512\) −290920. + 232001.i −1.10977 + 0.885012i
\(513\) 14529.7 193885.i 0.0552105 0.736732i
\(514\) 584348. + 281407.i 2.21180 + 1.06515i
\(515\) 82465.4i 0.310926i
\(516\) −146697. + 182657.i −0.550962 + 0.686021i
\(517\) −23576.8 −0.0882072
\(518\) −180389. + 374581.i −0.672279 + 1.39600i
\(519\) −182936. 13709.2i −0.679149 0.0508952i
\(520\) 7316.83 + 9175.01i 0.0270593 + 0.0339313i
\(521\) 10889.9 35304.3i 0.0401190 0.130063i −0.933298 0.359103i \(-0.883083\pi\)
0.973417 + 0.229041i \(0.0735588\pi\)
\(522\) −76044.2 + 131712.i −0.279078 + 0.483376i
\(523\) 271929. 156998.i 0.994151 0.573973i 0.0876384 0.996152i \(-0.472068\pi\)
0.906512 + 0.422179i \(0.138735\pi\)
\(524\) 398612. 90980.5i 1.45174 0.331349i
\(525\) −258301. 38932.6i −0.937147 0.141252i
\(526\) 35213.4 + 32673.2i 0.127273 + 0.118092i
\(527\) −405905. + 508989.i −1.46151 + 1.83268i
\(528\) 67754.5 + 99377.6i 0.243036 + 0.356468i
\(529\) 5886.61 5461.98i 0.0210356 0.0195181i
\(530\) 49126.1 + 655542.i 0.174888 + 2.33372i
\(531\) 13320.0 33938.7i 0.0472404 0.120367i
\(532\) 71321.5 312480.i 0.251998 1.10408i
\(533\) 56262.4 17354.7i 0.198045 0.0610888i
\(534\) 155103. 227494.i 0.543922 0.797787i
\(535\) −93273.0 618826.i −0.325873 2.16203i
\(536\) −42924.1 + 16846.5i −0.149407 + 0.0586380i
\(537\) 231609. 111537.i 0.803169 0.386786i
\(538\) −116833. 242607.i −0.403647 0.838183i
\(539\) −86834.1 221250.i −0.298891 0.761562i
\(540\) −438044. + 66024.5i −1.50221 + 0.226421i
\(541\) −13868.1 9455.09i −0.0473829 0.0323051i 0.539397 0.842052i \(-0.318652\pi\)
−0.586780 + 0.809746i \(0.699605\pi\)
\(542\) −86990.9 282018.i −0.296125 0.960015i
\(543\) −54273.9 12387.7i −0.184074 0.0420136i
\(544\) −519414. 203855.i −1.75516 0.688848i
\(545\) 569805. 42701.0i 1.91837 0.143762i
\(546\) −140806. 151753.i −0.472321 0.509041i
\(547\) 116412. 79368.4i 0.389066 0.265261i −0.352951 0.935642i \(-0.614822\pi\)
0.742017 + 0.670381i \(0.233869\pi\)
\(548\) 67647.9 + 53947.4i 0.225265 + 0.179643i
\(549\) 53523.2 57684.3i 0.177581 0.191387i
\(550\) −26268.3 + 174279.i −0.0868373 + 0.576128i
\(551\) −56877.1 249195.i −0.187342 0.820798i
\(552\) −11056.2 19149.9i −0.0362850 0.0628475i
\(553\) −424724. 245215.i −1.38886 0.801856i
\(554\) 18412.1 + 5679.39i 0.0599908 + 0.0185047i
\(555\) −180175. + 143685.i −0.584938 + 0.466472i
\(556\) −39752.9 + 530466.i −0.128594 + 1.71596i
\(557\) −246998. 118948.i −0.796128 0.383395i −0.00882464 0.999961i \(-0.502809\pi\)
−0.787303 + 0.616566i \(0.788523\pi\)
\(558\) 249202.i 0.800355i
\(559\) 100336. + 58391.1i 0.321095 + 0.186863i
\(560\) 605070. 1.92943
\(561\) −83118.0 + 172596.i −0.264100 + 0.548410i
\(562\) −859818. 64434.4i −2.72229 0.204007i
\(563\) −268803. 337068.i −0.848040 1.06341i −0.997214 0.0745979i \(-0.976233\pi\)
0.149173 0.988811i \(-0.452339\pi\)
\(564\) 13057.3 42330.7i 0.0410482 0.133075i
\(565\) −19128.1 + 33130.9i −0.0599205 + 0.103785i
\(566\) −273599. + 157962.i −0.854047 + 0.493084i
\(567\) 289692. 66120.3i 0.901095 0.205669i
\(568\) −4089.89 616.452i −0.0126770 0.00191074i
\(569\) −442963. 411010.i −1.36818 1.26949i −0.928501 0.371331i \(-0.878902\pi\)
−0.439679 0.898155i \(-0.644908\pi\)
\(570\) 215086. 269709.i 0.662006 0.830130i
\(571\) 70928.8 + 104033.i 0.217546 + 0.319081i 0.919462 0.393178i \(-0.128624\pi\)
−0.701917 + 0.712259i \(0.747672\pi\)
\(572\) −52731.4 + 48927.6i −0.161167 + 0.149541i
\(573\) −8657.25 115523.i −0.0263676 0.351851i
\(574\) −151480. + 385965.i −0.459761 + 1.17145i
\(575\) −52790.4 + 231290.i −0.159669 + 0.699554i
\(576\) 111263. 34319.9i 0.335354 0.103443i
\(577\) 250633. 367612.i 0.752813 1.10417i −0.238305 0.971190i \(-0.576592\pi\)
0.991118 0.132984i \(-0.0424558\pi\)
\(578\) −52728.3 349830.i −0.157830 1.04713i
\(579\) −319800. + 125512.i −0.953941 + 0.374394i
\(580\) −524701. + 252683.i −1.55975 + 0.751137i
\(581\) 131962. + 274022.i 0.390929 + 0.811771i
\(582\) 51141.7 + 130307.i 0.150983 + 0.384699i
\(583\) −232222. + 35001.9i −0.683230 + 0.102980i
\(584\) 28044.4 + 19120.4i 0.0822283 + 0.0560623i
\(585\) 15440.4 + 50056.7i 0.0451178 + 0.146268i
\(586\) 488736. + 111551.i 1.42324 + 0.324846i
\(587\) −353381. 138692.i −1.02557 0.402508i −0.207875 0.978155i \(-0.566655\pi\)
−0.817698 + 0.575648i \(0.804750\pi\)
\(588\) 445330. 33372.9i 1.28803 0.0965248i
\(589\) 284866. + 307013.i 0.821128 + 0.884965i
\(590\) 223976. 152705.i 0.643426 0.438680i
\(591\) −245956. 196144.i −0.704179 0.561564i
\(592\) 152972. 164865.i 0.436486 0.470420i
\(593\) −17163.9 + 113875.i −0.0488097 + 0.323831i 0.951080 + 0.308946i \(0.0999763\pi\)
−0.999889 + 0.0148850i \(0.995262\pi\)
\(594\) −68378.4 299585.i −0.193796 0.849078i
\(595\) 481853. + 834594.i 1.36107 + 2.35744i
\(596\) 256967. + 148360.i 0.723409 + 0.417661i
\(597\) 8566.27 + 2642.35i 0.0240350 + 0.00741380i
\(598\) −146993. + 117223.i −0.411049 + 0.327801i
\(599\) 5169.41 68981.0i 0.0144075 0.192254i −0.985356 0.170509i \(-0.945459\pi\)
0.999764 0.0217450i \(-0.00692220\pi\)
\(600\) −17388.5 8373.87i −0.0483015 0.0232608i
\(601\) 3173.70i 0.00878652i −0.999990 0.00439326i \(-0.998602\pi\)
0.999990 0.00439326i \(-0.00139842\pi\)
\(602\) −762030. + 296048.i −2.10271 + 0.816900i
\(603\) −205833. −0.566083
\(604\) −28103.2 + 58357.0i −0.0770340 + 0.159963i
\(605\) 330790. + 24789.3i 0.903737 + 0.0677258i
\(606\) 395601. + 496068.i 1.07724 + 1.35082i
\(607\) −141255. + 457936.i −0.383376 + 1.24287i 0.534215 + 0.845349i \(0.320607\pi\)
−0.917591 + 0.397526i \(0.869869\pi\)
\(608\) −179481. + 310871.i −0.485526 + 0.840956i
\(609\) 518522. 299369.i 1.39808 0.807183i
\(610\) 570411. 130193.i 1.53295 0.349886i
\(611\) −21706.3 3271.70i −0.0581438 0.00876377i
\(612\) 120451. + 111762.i 0.321594 + 0.298395i
\(613\) −270818. + 339595.i −0.720704 + 0.903734i −0.998378 0.0569412i \(-0.981865\pi\)
0.277673 + 0.960676i \(0.410437\pi\)
\(614\) 48042.6 + 70465.6i 0.127435 + 0.186913i
\(615\) −168476. + 156323.i −0.445439 + 0.413307i
\(616\) −2206.26 29440.5i −0.00581428 0.0775861i
\(617\) 36830.9 93843.6i 0.0967480 0.246510i −0.874304 0.485379i \(-0.838682\pi\)
0.971052 + 0.238869i \(0.0767768\pi\)
\(618\) −23916.7 + 104786.i −0.0626216 + 0.274363i
\(619\) 53681.4 16558.5i 0.140102 0.0432156i −0.223911 0.974610i \(-0.571883\pi\)
0.364013 + 0.931394i \(0.381406\pi\)
\(620\) 537542. 788429.i 1.39839 2.05106i
\(621\) −61648.1 409008.i −0.159859 1.06059i
\(622\) 463336. 181846.i 1.19761 0.470028i
\(623\) 445823. 214697.i 1.14865 0.553159i
\(624\) 48588.7 + 100895.i 0.124786 + 0.259121i
\(625\) −170966. 435615.i −0.437673 1.11517i
\(626\) 597658. 90082.5i 1.52512 0.229875i
\(627\) 101825. + 69423.0i 0.259011 + 0.176591i
\(628\) 176442. + 572010.i 0.447385 + 1.45039i
\(629\) 349225. + 79708.3i 0.882682 + 0.201466i
\(630\) −343393. 134772.i −0.865187 0.339561i
\(631\) −328768. + 24637.8i −0.825716 + 0.0618789i −0.480883 0.876785i \(-0.659684\pi\)
−0.344833 + 0.938664i \(0.612065\pi\)
\(632\) −24645.9 26562.0i −0.0617036 0.0665006i
\(633\) −11635.6 + 7933.04i −0.0290391 + 0.0197985i
\(634\) 591876. + 472006.i 1.47249 + 1.17427i
\(635\) 562110. 605811.i 1.39404 1.50241i
\(636\) 65765.5 436325.i 0.162586 1.07869i
\(637\) −49242.7 215746.i −0.121356 0.531697i
\(638\) −201987. 349852.i −0.496230 0.859495i
\(639\) −15989.1 9231.32i −0.0391582 0.0226080i
\(640\) 91272.0 + 28153.7i 0.222832 + 0.0687346i
\(641\) 401914. 320515.i 0.978175 0.780069i 0.00265888 0.999996i \(-0.499154\pi\)
0.975516 + 0.219928i \(0.0705822\pi\)
\(642\) −60953.7 + 813371.i −0.147887 + 1.97342i
\(643\) 168177. + 80989.6i 0.406765 + 0.195888i 0.626067 0.779769i \(-0.284664\pi\)
−0.219302 + 0.975657i \(0.570378\pi\)
\(644\) 681866.i 1.64410i
\(645\) −451765. 35421.2i −1.08591 0.0851420i
\(646\) −536208. −1.28490
\(647\) 156345. 324653.i 0.373486 0.775552i −0.626506 0.779416i \(-0.715516\pi\)
0.999993 + 0.00386401i \(0.00122996\pi\)
\(648\) 21892.6 + 1640.62i 0.0521371 + 0.00390713i
\(649\) 60379.8 + 75713.9i 0.143352 + 0.179757i
\(650\) −48368.5 + 156807.i −0.114482 + 0.371140i
\(651\) −490525. + 849615.i −1.15744 + 2.00475i
\(652\) −642618. + 371016.i −1.51167 + 0.872765i
\(653\) −234526. + 53529.0i −0.550002 + 0.125534i −0.488486 0.872572i \(-0.662451\pi\)
−0.0615162 + 0.998106i \(0.519594\pi\)
\(654\) −736415. 110997.i −1.72174 0.259510i
\(655\) 579741. + 537921.i 1.35130 + 1.25382i
\(656\) 139844. 175359.i 0.324965 0.407494i
\(657\) 85349.5 + 125185.i 0.197729 + 0.290015i
\(658\) 113319. 105144.i 0.261727 0.242848i
\(659\) 26250.3 + 350286.i 0.0604455 + 0.806588i 0.942237 + 0.334948i \(0.108719\pi\)
−0.881791 + 0.471640i \(0.843662\pi\)
\(660\) 102585. 261381.i 0.235502 0.600048i
\(661\) −76628.2 + 335730.i −0.175382 + 0.768400i 0.808342 + 0.588714i \(0.200365\pi\)
−0.983724 + 0.179686i \(0.942492\pi\)
\(662\) −670212. + 206733.i −1.52931 + 0.471730i
\(663\) −100474. + 147369.i −0.228575 + 0.335258i
\(664\) 3349.15 + 22220.1i 0.00759623 + 0.0503977i
\(665\) 577115. 226501.i 1.30502 0.512184i
\(666\) −123537. + 59492.5i −0.278516 + 0.134126i
\(667\) −235934. 489921.i −0.530320 1.10122i
\(668\) 112640. + 287002.i 0.252429 + 0.643179i
\(669\) 416039. 62707.8i 0.929570 0.140110i
\(670\) −1.26448e6 862109.i −2.81685 1.92049i
\(671\) 61608.8 + 199731.i 0.136835 + 0.443608i
\(672\) −819769. 187107.i −1.81532 0.414335i
\(673\) −71317.7 27990.1i −0.157459 0.0617980i 0.285303 0.958437i \(-0.407906\pi\)
−0.442761 + 0.896639i \(0.646001\pi\)
\(674\) 843664. 63223.9i 1.85716 0.139175i
\(675\) −245554. 264644.i −0.538939 0.580838i
\(676\) 345601. 235627.i 0.756278 0.515622i
\(677\) −251653. 200687.i −0.549067 0.437866i 0.309254 0.950979i \(-0.399921\pi\)
−0.858321 + 0.513113i \(0.828492\pi\)
\(678\) 33914.1 36550.7i 0.0737769 0.0795126i
\(679\) −37495.1 + 248764.i −0.0813270 + 0.539570i
\(680\) 15844.0 + 69417.0i 0.0342646 + 0.150123i
\(681\) −224418. 388704.i −0.483909 0.838155i
\(682\) 573244. + 330963.i 1.23246 + 0.711558i
\(683\) 137573. + 42435.6i 0.294912 + 0.0909682i 0.438680 0.898643i \(-0.355446\pi\)
−0.143769 + 0.989611i \(0.545922\pi\)
\(684\) 82644.8 65907.1i 0.176646 0.140870i
\(685\) −12507.1 + 166896.i −0.0266549 + 0.355685i
\(686\) 447603. + 215554.i 0.951140 + 0.458045i
\(687\) 138923.i 0.294348i
\(688\) 441112. 31528.4i 0.931905 0.0666077i
\(689\) −218656. −0.460599
\(690\) 318424. 661214.i 0.668817 1.38881i
\(691\) −715911. 53650.1i −1.49935 0.112361i −0.700396 0.713754i \(-0.746993\pi\)
−0.798953 + 0.601394i \(0.794612\pi\)
\(692\) −260590. 326769.i −0.544183 0.682384i
\(693\) 38844.3 125930.i 0.0808837 0.262219i
\(694\) 143345. 248281.i 0.297622 0.515496i
\(695\) −891098. + 514476.i −1.84483 + 1.06511i
\(696\) 43127.8 9843.65i 0.0890306 0.0203206i
\(697\) 353245. + 53243.1i 0.727128 + 0.109597i
\(698\) 170234. + 157954.i 0.349410 + 0.324205i
\(699\) −269265. + 337648.i −0.551094 + 0.691050i
\(700\) −335252. 491725.i −0.684189 1.00352i
\(701\) 216323. 200719.i 0.440218 0.408462i −0.428678 0.903457i \(-0.641021\pi\)
0.868896 + 0.494995i \(0.164830\pi\)
\(702\) −21380.7 285306.i −0.0433858 0.578944i
\(703\) 84189.6 214511.i 0.170352 0.434050i
\(704\) −68819.9 + 301520.i −0.138857 + 0.608374i
\(705\) 81879.8 25256.6i 0.164740 0.0508155i
\(706\) −15738.6 + 23084.3i −0.0315760 + 0.0463135i
\(707\) 169952. + 1.12756e6i 0.340007 + 2.25580i
\(708\) −169379. + 66476.4i −0.337904 + 0.132617i
\(709\) −608763. + 293165.i −1.21103 + 0.583203i −0.926801 0.375553i \(-0.877453\pi\)
−0.284232 + 0.958756i \(0.591739\pi\)
\(710\) −59560.7 123679.i −0.118153 0.245346i
\(711\) −59091.9 150564.i −0.116893 0.297839i
\(712\) 36151.3 5448.93i 0.0713121 0.0107486i
\(713\) 736168. + 501911.i 1.44810 + 0.987297i
\(714\) −370224. 1.20024e6i −0.726219 2.35435i
\(715\) −135653. 30961.9i −0.265348 0.0605641i
\(716\) 545192. + 213972.i 1.06346 + 0.417379i
\(717\) −556231. + 41683.7i −1.08197 + 0.0810827i
\(718\) −287704. 310071.i −0.558080 0.601467i
\(719\) −280520. + 191255.i −0.542632 + 0.369960i −0.803399 0.595442i \(-0.796977\pi\)
0.260767 + 0.965402i \(0.416025\pi\)
\(720\) 156017. + 124419.i 0.300959 + 0.240007i
\(721\) −131383. + 141597.i −0.252736 + 0.272385i
\(722\) 60149.4 399065.i 0.115387 0.765543i
\(723\) −97770.9 428362.i −0.187039 0.819473i
\(724\) −63416.3 109840.i −0.120983 0.209549i
\(725\) −411022. 237303.i −0.781967 0.451469i
\(726\) −413134. 127435.i −0.783823 0.241777i
\(727\) 742085. 591793.i 1.40406 1.11970i 0.427606 0.903965i \(-0.359357\pi\)
0.976452 0.215733i \(-0.0692142\pi\)
\(728\) 2054.17 27411.0i 0.00387591 0.0517204i
\(729\) 520068. + 250452.i 0.978600 + 0.471269i
\(730\) 1.12652e6i 2.11394i
\(731\) 394771. + 583332.i 0.738773 + 1.09164i
\(732\) −392724. −0.732934
\(733\) −208925. + 433838.i −0.388851 + 0.807457i 0.611023 + 0.791612i \(0.290758\pi\)
−0.999874 + 0.0158449i \(0.994956\pi\)
\(734\) −8234.23 617.070i −0.0152838 0.00114536i
\(735\) 538579. + 675356.i 0.996953 + 1.25014i
\(736\) −225092. + 729731.i −0.415532 + 1.34712i
\(737\) 273365. 473482.i 0.503278 0.871703i
\(738\) −118424. + 68372.3i −0.217434 + 0.125536i
\(739\) 508069. 115963.i 0.930322 0.212340i 0.269602 0.962972i \(-0.413108\pi\)
0.660721 + 0.750632i \(0.270251\pi\)
\(740\) −519179. 78253.6i −0.948098 0.142903i
\(741\) 84112.8 + 78045.3i 0.153188 + 0.142138i
\(742\) 960048. 1.20386e6i 1.74375 2.18660i
\(743\) 143890. + 211047.i 0.260647 + 0.382298i 0.934147 0.356889i \(-0.116162\pi\)
−0.673500 + 0.739187i \(0.735210\pi\)
\(744\) −53134.3 + 49301.4i −0.0959907 + 0.0890663i
\(745\) 42890.7 + 572337.i 0.0772771 + 1.03119i
\(746\) −360398. + 918279.i −0.647597 + 1.65005i
\(747\) −22320.3 + 97791.7i −0.0399999 + 0.175251i
\(748\) −417059. + 128646.i −0.745409 + 0.229928i
\(749\) −825750. + 1.21115e6i −1.47192 + 2.15891i
\(750\) 35657.5 + 236572.i 0.0633911 + 0.420573i
\(751\) 481155. 188839.i 0.853110 0.334821i 0.101827 0.994802i \(-0.467531\pi\)
0.751282 + 0.659981i \(0.229436\pi\)
\(752\) −75341.5 + 36282.6i −0.133229 + 0.0641597i
\(753\) 125558. + 260723.i 0.221439 + 0.459822i
\(754\) −137414. 350126.i −0.241707 0.615859i
\(755\) −123887. + 18673.0i −0.217337 + 0.0327582i
\(756\) 857330. + 584518.i 1.50005 + 1.02271i