Properties

Label 43.4.g.a.13.4
Level 43
Weight 4
Character 43.13
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 13.4
Character \(\chi\) \(=\) 43.13
Dual form 43.4.g.a.10.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.582989 + 2.55424i) q^{2} +(-4.15286 + 3.85329i) q^{3} +(1.02347 + 0.492879i) q^{4} +(-13.6446 - 2.05660i) q^{5} +(-7.42117 - 12.8538i) q^{6} +(9.34797 - 16.1912i) q^{7} +(-14.9236 + 18.7136i) q^{8} +(0.380687 - 5.07991i) q^{9} +O(q^{10})\) \(q+(-0.582989 + 2.55424i) q^{2} +(-4.15286 + 3.85329i) q^{3} +(1.02347 + 0.492879i) q^{4} +(-13.6446 - 2.05660i) q^{5} +(-7.42117 - 12.8538i) q^{6} +(9.34797 - 16.1912i) q^{7} +(-14.9236 + 18.7136i) q^{8} +(0.380687 - 5.07991i) q^{9} +(13.2077 - 33.6527i) q^{10} +(-41.3369 + 19.9068i) q^{11} +(-6.14956 + 1.89689i) q^{12} +(13.3353 + 33.9779i) q^{13} +(35.9064 + 33.3162i) q^{14} +(64.5889 - 44.0360i) q^{15} +(-33.4326 - 41.9232i) q^{16} +(62.1043 - 9.36072i) q^{17} +(12.7534 + 3.93390i) q^{18} +(11.9608 + 159.606i) q^{19} +(-12.9513 - 8.83002i) q^{20} +(23.5685 + 103.260i) q^{21} +(-26.7478 - 117.190i) q^{22} +(30.1976 + 20.5884i) q^{23} +(-10.1333 - 135.220i) q^{24} +(62.4994 + 19.2785i) q^{25} +(-94.5620 + 14.2529i) q^{26} +(-77.3753 - 97.0255i) q^{27} +(17.5477 - 11.9638i) q^{28} +(-0.0346418 - 0.0321429i) q^{29} +(74.8239 + 190.648i) q^{30} +(142.348 - 43.9085i) q^{31} +(-45.9489 + 22.1278i) q^{32} +(94.9596 - 241.953i) q^{33} +(-12.2966 + 164.087i) q^{34} +(-160.848 + 201.697i) q^{35} +(2.89341 - 5.01153i) q^{36} +(-157.839 - 273.385i) q^{37} +(-414.644 - 62.4976i) q^{38} +(-186.307 - 89.7205i) q^{39} +(242.113 - 224.648i) q^{40} +(-3.55430 + 15.5724i) q^{41} -277.492 q^{42} +(16.1534 + 281.507i) q^{43} -52.1189 q^{44} +(-15.6417 + 68.5306i) q^{45} +(-70.1926 + 65.1292i) q^{46} +(359.524 + 173.138i) q^{47} +(300.384 + 45.2756i) q^{48} +(-3.26909 - 5.66222i) q^{49} +(-85.6784 + 148.399i) q^{50} +(-221.841 + 278.180i) q^{51} +(-3.09862 + 41.3482i) q^{52} +(140.095 - 356.955i) q^{53} +(292.936 - 141.070i) q^{54} +(604.966 - 186.607i) q^{55} +(163.490 + 416.565i) q^{56} +(-664.679 - 616.732i) q^{57} +(0.102296 - 0.0697445i) q^{58} +(326.190 + 409.029i) q^{59} +(87.8095 - 13.2352i) q^{60} +(315.527 + 97.3271i) q^{61} +(29.1657 + 389.189i) q^{62} +(-78.6910 - 53.6506i) q^{63} +(-125.188 - 548.484i) q^{64} +(-112.077 - 491.040i) q^{65} +(562.647 + 383.606i) q^{66} +(-13.4238 - 179.128i) q^{67} +(68.1759 + 21.0295i) q^{68} +(-204.740 + 30.8595i) q^{69} +(-421.411 - 528.432i) q^{70} +(-343.160 + 233.962i) q^{71} +(89.3823 + 82.9346i) q^{72} +(-312.093 - 795.200i) q^{73} +(790.310 - 243.778i) q^{74} +(-333.837 + 160.768i) q^{75} +(-66.4248 + 169.248i) q^{76} +(-64.1018 + 855.380i) q^{77} +(337.783 - 423.566i) q^{78} +(-527.961 + 914.456i) q^{79} +(369.957 + 640.784i) q^{80} +(831.203 + 125.284i) q^{81} +(-37.7036 - 18.1571i) q^{82} +(43.9650 - 40.7936i) q^{83} +(-26.7731 + 117.301i) q^{84} -866.641 q^{85} +(-728.454 - 122.856i) q^{86} +0.267719 q^{87} +(244.367 - 1070.64i) q^{88} +(-1006.40 + 933.801i) q^{89} +(-165.925 - 79.9051i) q^{90} +(674.799 + 101.710i) q^{91} +(20.7589 + 35.9555i) q^{92} +(-421.959 + 730.855i) q^{93} +(-651.835 + 817.375i) q^{94} +(165.044 - 2202.36i) q^{95} +(105.555 - 268.949i) q^{96} +(-712.425 + 343.086i) q^{97} +(16.3685 - 5.04902i) q^{98} +(85.3883 + 217.566i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.582989 + 2.55424i −0.206118 + 0.903061i 0.761004 + 0.648747i \(0.224707\pi\)
−0.967122 + 0.254314i \(0.918150\pi\)
\(3\) −4.15286 + 3.85329i −0.799219 + 0.741567i −0.969833 0.243771i \(-0.921615\pi\)
0.170614 + 0.985338i \(0.445425\pi\)
\(4\) 1.02347 + 0.492879i 0.127934 + 0.0616099i
\(5\) −13.6446 2.05660i −1.22041 0.183947i −0.492927 0.870071i \(-0.664073\pi\)
−0.727485 + 0.686123i \(0.759311\pi\)
\(6\) −7.42117 12.8538i −0.504947 0.874594i
\(7\) 9.34797 16.1912i 0.504743 0.874240i −0.495242 0.868755i \(-0.664921\pi\)
0.999985 0.00548536i \(-0.00174605\pi\)
\(8\) −14.9236 + 18.7136i −0.659536 + 0.827032i
\(9\) 0.380687 5.07991i 0.0140995 0.188145i
\(10\) 13.2077 33.6527i 0.417664 1.06419i
\(11\) −41.3369 + 19.9068i −1.13305 + 0.545647i −0.903900 0.427744i \(-0.859308\pi\)
−0.229148 + 0.973391i \(0.573594\pi\)
\(12\) −6.14956 + 1.89689i −0.147935 + 0.0456320i
\(13\) 13.3353 + 33.9779i 0.284504 + 0.724905i 0.999663 + 0.0259433i \(0.00825895\pi\)
−0.715159 + 0.698962i \(0.753646\pi\)
\(14\) 35.9064 + 33.3162i 0.685456 + 0.636010i
\(15\) 64.5889 44.0360i 1.11179 0.758003i
\(16\) −33.4326 41.9232i −0.522385 0.655050i
\(17\) 62.1043 9.36072i 0.886030 0.133547i 0.309768 0.950812i \(-0.399749\pi\)
0.576262 + 0.817265i \(0.304511\pi\)
\(18\) 12.7534 + 3.93390i 0.167000 + 0.0515127i
\(19\) 11.9608 + 159.606i 0.144421 + 1.92716i 0.328977 + 0.944338i \(0.393296\pi\)
−0.184556 + 0.982822i \(0.559085\pi\)
\(20\) −12.9513 8.83002i −0.144800 0.0987227i
\(21\) 23.5685 + 103.260i 0.244908 + 1.07301i
\(22\) −26.7478 117.190i −0.259211 1.13568i
\(23\) 30.1976 + 20.5884i 0.273767 + 0.186651i 0.692419 0.721496i \(-0.256545\pi\)
−0.418652 + 0.908147i \(0.637497\pi\)
\(24\) −10.1333 135.220i −0.0861858 1.15007i
\(25\) 62.4994 + 19.2785i 0.499995 + 0.154228i
\(26\) −94.5620 + 14.2529i −0.713275 + 0.107509i
\(27\) −77.3753 97.0255i −0.551514 0.691577i
\(28\) 17.5477 11.9638i 0.118436 0.0807482i
\(29\) −0.0346418 0.0321429i −0.000221821 0.000205820i 0.680062 0.733155i \(-0.261953\pi\)
−0.680284 + 0.732949i \(0.738143\pi\)
\(30\) 74.8239 + 190.648i 0.455364 + 1.16025i
\(31\) 142.348 43.9085i 0.824724 0.254394i 0.146464 0.989216i \(-0.453211\pi\)
0.678260 + 0.734822i \(0.262734\pi\)
\(32\) −45.9489 + 22.1278i −0.253834 + 0.122240i
\(33\) 94.9596 241.953i 0.500920 1.27632i
\(34\) −12.2966 + 164.087i −0.0620249 + 0.827665i
\(35\) −160.848 + 201.697i −0.776808 + 0.974087i
\(36\) 2.89341 5.01153i 0.0133954 0.0232015i
\(37\) −157.839 273.385i −0.701312 1.21471i −0.968006 0.250927i \(-0.919265\pi\)
0.266694 0.963781i \(-0.414069\pi\)
\(38\) −414.644 62.4976i −1.77011 0.266801i
\(39\) −186.307 89.7205i −0.764947 0.368379i
\(40\) 242.113 224.648i 0.957036 0.888000i
\(41\) −3.55430 + 15.5724i −0.0135388 + 0.0593172i −0.981246 0.192759i \(-0.938256\pi\)
0.967707 + 0.252077i \(0.0811135\pi\)
\(42\) −277.492 −1.01947
\(43\) 16.1534 + 281.507i 0.0572876 + 0.998358i
\(44\) −52.1189 −0.178573
\(45\) −15.6417 + 68.5306i −0.0518160 + 0.227021i
\(46\) −70.1926 + 65.1292i −0.224986 + 0.208756i
\(47\) 359.524 + 173.138i 1.11579 + 0.537335i 0.898589 0.438792i \(-0.144594\pi\)
0.217199 + 0.976127i \(0.430308\pi\)
\(48\) 300.384 + 45.2756i 0.903264 + 0.136145i
\(49\) −3.26909 5.66222i −0.00953086 0.0165079i
\(50\) −85.6784 + 148.399i −0.242335 + 0.419737i
\(51\) −221.841 + 278.180i −0.609097 + 0.763784i
\(52\) −3.09862 + 41.3482i −0.00826348 + 0.110269i
\(53\) 140.095 356.955i 0.363085 0.925125i −0.626271 0.779606i \(-0.715420\pi\)
0.989355 0.145519i \(-0.0464852\pi\)
\(54\) 292.936 141.070i 0.738213 0.355505i
\(55\) 604.966 186.607i 1.48316 0.457493i
\(56\) 163.490 + 416.565i 0.390129 + 0.994032i
\(57\) −664.679 616.732i −1.54454 1.43313i
\(58\) 0.102296 0.0697445i 0.000231589 0.000157895i
\(59\) 326.190 + 409.029i 0.719767 + 0.902560i 0.998325 0.0578600i \(-0.0184277\pi\)
−0.278557 + 0.960420i \(0.589856\pi\)
\(60\) 87.8095 13.2352i 0.188936 0.0284775i
\(61\) 315.527 + 97.3271i 0.662280 + 0.204286i 0.607631 0.794219i \(-0.292120\pi\)
0.0546487 + 0.998506i \(0.482596\pi\)
\(62\) 29.1657 + 389.189i 0.0597427 + 0.797211i
\(63\) −78.6910 53.6506i −0.157367 0.107291i
\(64\) −125.188 548.484i −0.244508 1.07126i
\(65\) −112.077 491.040i −0.213868 0.937016i
\(66\) 562.647 + 383.606i 1.04935 + 0.715434i
\(67\) −13.4238 179.128i −0.0244773 0.326626i −0.995979 0.0895921i \(-0.971444\pi\)
0.971501 0.237034i \(-0.0761754\pi\)
\(68\) 68.1759 + 21.0295i 0.121581 + 0.0375029i
\(69\) −204.740 + 30.8595i −0.357214 + 0.0538413i
\(70\) −421.411 528.432i −0.719546 0.902282i
\(71\) −343.160 + 233.962i −0.573600 + 0.391074i −0.815094 0.579328i \(-0.803315\pi\)
0.241494 + 0.970402i \(0.422362\pi\)
\(72\) 89.3823 + 82.9346i 0.146303 + 0.135749i
\(73\) −312.093 795.200i −0.500380 1.27495i −0.928536 0.371242i \(-0.878932\pi\)
0.428157 0.903705i \(-0.359163\pi\)
\(74\) 790.310 243.778i 1.24151 0.382955i
\(75\) −333.837 + 160.768i −0.513976 + 0.247518i
\(76\) −66.4248 + 169.248i −0.100256 + 0.255448i
\(77\) −64.1018 + 855.380i −0.0948712 + 1.26597i
\(78\) 337.783 423.566i 0.490338 0.614864i
\(79\) −527.961 + 914.456i −0.751902 + 1.30233i 0.194998 + 0.980804i \(0.437530\pi\)
−0.946900 + 0.321529i \(0.895803\pi\)
\(80\) 369.957 + 640.784i 0.517030 + 0.895522i
\(81\) 831.203 + 125.284i 1.14020 + 0.171857i
\(82\) −37.7036 18.1571i −0.0507764 0.0244526i
\(83\) 43.9650 40.7936i 0.0581420 0.0539479i −0.650567 0.759449i \(-0.725469\pi\)
0.708709 + 0.705501i \(0.249278\pi\)
\(84\) −26.7731 + 117.301i −0.0347760 + 0.152364i
\(85\) −866.641 −1.10589
\(86\) −728.454 122.856i −0.913386 0.154045i
\(87\) 0.267719 0.000329913
\(88\) 244.367 1070.64i 0.296018 1.29694i
\(89\) −1006.40 + 933.801i −1.19863 + 1.11216i −0.207642 + 0.978205i \(0.566579\pi\)
−0.990987 + 0.133960i \(0.957231\pi\)
\(90\) −165.925 79.9051i −0.194333 0.0935860i
\(91\) 674.799 + 101.710i 0.777343 + 0.117166i
\(92\) 20.7589 + 35.9555i 0.0235246 + 0.0407458i
\(93\) −421.959 + 730.855i −0.470485 + 0.814904i
\(94\) −651.835 + 817.375i −0.715230 + 0.896870i
\(95\) 165.044 2202.36i 0.178244 2.37849i
\(96\) 105.555 268.949i 0.112220 0.285932i
\(97\) −712.425 + 343.086i −0.745730 + 0.359125i −0.767849 0.640631i \(-0.778673\pi\)
0.0221191 + 0.999755i \(0.492959\pi\)
\(98\) 16.3685 5.04902i 0.0168722 0.00520437i
\(99\) 85.3883 + 217.566i 0.0866854 + 0.220871i
\(100\) 54.4646 + 50.5357i 0.0544646 + 0.0505357i
\(101\) 479.849 327.155i 0.472740 0.322309i −0.303407 0.952861i \(-0.598124\pi\)
0.776147 + 0.630553i \(0.217172\pi\)
\(102\) −581.208 728.812i −0.564198 0.707482i
\(103\) 398.973 60.1355i 0.381670 0.0575275i 0.0445945 0.999005i \(-0.485800\pi\)
0.337075 + 0.941478i \(0.390562\pi\)
\(104\) −834.859 257.520i −0.787161 0.242807i
\(105\) −109.218 1457.42i −0.101511 1.35456i
\(106\) 830.077 + 565.937i 0.760606 + 0.518572i
\(107\) −255.322 1118.64i −0.230682 1.01068i −0.949076 0.315046i \(-0.897980\pi\)
0.718395 0.695636i \(-0.244877\pi\)
\(108\) −31.3698 137.440i −0.0279496 0.122455i
\(109\) −158.547 108.096i −0.139322 0.0949880i 0.491653 0.870791i \(-0.336393\pi\)
−0.630975 + 0.775803i \(0.717345\pi\)
\(110\) 123.952 + 1654.02i 0.107439 + 1.43368i
\(111\) 1708.92 + 527.131i 1.46129 + 0.450748i
\(112\) −991.313 + 149.416i −0.836342 + 0.126058i
\(113\) 384.321 + 481.924i 0.319946 + 0.401200i 0.915632 0.402018i \(-0.131691\pi\)
−0.595686 + 0.803218i \(0.703120\pi\)
\(114\) 1962.78 1338.20i 1.61256 1.09942i
\(115\) −369.693 343.025i −0.299774 0.278150i
\(116\) −0.0196124 0.0499716i −1.56980e−5 3.99978e-5i
\(117\) 177.681 54.8074i 0.140399 0.0433072i
\(118\) −1234.92 + 594.708i −0.963423 + 0.463960i
\(119\) 428.988 1093.04i 0.330465 0.842010i
\(120\) −139.827 + 1865.87i −0.106370 + 1.41941i
\(121\) 482.591 605.150i 0.362578 0.454658i
\(122\) −432.546 + 749.191i −0.320991 + 0.555972i
\(123\) −45.2446 78.3659i −0.0331672 0.0574473i
\(124\) 167.331 + 25.2211i 0.121184 + 0.0182655i
\(125\) 740.897 + 356.797i 0.530143 + 0.255303i
\(126\) 182.913 169.718i 0.129327 0.119998i
\(127\) −402.538 + 1763.63i −0.281255 + 1.23226i 0.614930 + 0.788581i \(0.289184\pi\)
−0.896186 + 0.443679i \(0.853673\pi\)
\(128\) 1065.95 0.736074
\(129\) −1151.81 1106.82i −0.786134 0.755424i
\(130\) 1319.58 0.890265
\(131\) −576.714 + 2526.75i −0.384639 + 1.68521i 0.298087 + 0.954539i \(0.403652\pi\)
−0.682726 + 0.730675i \(0.739206\pi\)
\(132\) 216.443 200.829i 0.142719 0.132424i
\(133\) 2696.01 + 1298.33i 1.75770 + 0.846462i
\(134\) 465.362 + 70.1421i 0.300009 + 0.0452191i
\(135\) 856.214 + 1483.01i 0.545860 + 0.945458i
\(136\) −751.647 + 1301.89i −0.473921 + 0.820855i
\(137\) 1614.92 2025.04i 1.00709 1.26285i 0.0425040 0.999096i \(-0.486466\pi\)
0.964589 0.263758i \(-0.0849621\pi\)
\(138\) 40.5383 540.946i 0.0250061 0.333684i
\(139\) 341.325 869.682i 0.208279 0.530687i −0.788115 0.615528i \(-0.788943\pi\)
0.996395 + 0.0848408i \(0.0270382\pi\)
\(140\) −264.036 + 127.153i −0.159394 + 0.0767601i
\(141\) −2160.21 + 666.336i −1.29023 + 0.397983i
\(142\) −397.538 1012.91i −0.234934 0.598603i
\(143\) −1227.63 1139.07i −0.717899 0.666113i
\(144\) −225.694 + 153.875i −0.130610 + 0.0890482i
\(145\) 0.406569 + 0.509821i 0.000232853 + 0.000291989i
\(146\) 2213.08 333.568i 1.25449 0.189084i
\(147\) 35.3943 + 10.9177i 0.0198590 + 0.00612568i
\(148\) −26.7983 357.598i −0.0148838 0.198611i
\(149\) −1833.40 1249.99i −1.00804 0.687269i −0.0576507 0.998337i \(-0.518361\pi\)
−0.950388 + 0.311068i \(0.899313\pi\)
\(150\) −216.016 946.427i −0.117584 0.515170i
\(151\) −101.627 445.256i −0.0547700 0.239963i 0.940132 0.340811i \(-0.110702\pi\)
−0.994902 + 0.100848i \(0.967844\pi\)
\(152\) −3165.29 2158.06i −1.68907 1.15159i
\(153\) −23.9093 319.048i −0.0126337 0.168585i
\(154\) −2147.48 662.409i −1.12369 0.346613i
\(155\) −2032.59 + 306.363i −1.05330 + 0.158759i
\(156\) −146.459 183.653i −0.0751672 0.0942566i
\(157\) 2298.66 1567.20i 1.16849 0.796664i 0.185923 0.982564i \(-0.440472\pi\)
0.982569 + 0.185900i \(0.0595201\pi\)
\(158\) −2027.95 1881.66i −1.02111 0.947447i
\(159\) 793.660 + 2022.21i 0.395858 + 1.00863i
\(160\) 672.464 207.428i 0.332268 0.102491i
\(161\) 615.636 296.475i 0.301360 0.145127i
\(162\) −804.587 + 2050.05i −0.390212 + 0.994244i
\(163\) −267.627 + 3571.24i −0.128602 + 1.71608i 0.443817 + 0.896118i \(0.353624\pi\)
−0.572419 + 0.819961i \(0.693995\pi\)
\(164\) −11.3131 + 14.1861i −0.00538660 + 0.00675458i
\(165\) −1793.29 + 3106.07i −0.846105 + 1.46550i
\(166\) 78.5655 + 136.079i 0.0367341 + 0.0636254i
\(167\) 3309.70 + 498.857i 1.53361 + 0.231154i 0.860907 0.508763i \(-0.169897\pi\)
0.672699 + 0.739916i \(0.265135\pi\)
\(168\) −2284.10 1099.96i −1.04894 0.505143i
\(169\) 633.851 588.127i 0.288507 0.267696i
\(170\) 505.242 2213.61i 0.227943 0.998683i
\(171\) 815.336 0.364622
\(172\) −122.216 + 296.077i −0.0541797 + 0.131254i
\(173\) 1818.98 0.799390 0.399695 0.916648i \(-0.369116\pi\)
0.399695 + 0.916648i \(0.369116\pi\)
\(174\) −0.156077 + 0.683818i −6.80009e−5 + 0.000297932i
\(175\) 896.384 831.723i 0.387201 0.359270i
\(176\) 2216.56 + 1067.44i 0.949314 + 0.457165i
\(177\) −2930.73 441.736i −1.24456 0.187587i
\(178\) −1798.43 3114.98i −0.757294 1.31167i
\(179\) 655.446 1135.27i 0.273689 0.474044i −0.696114 0.717931i \(-0.745089\pi\)
0.969804 + 0.243887i \(0.0784227\pi\)
\(180\) −49.7861 + 62.4298i −0.0206158 + 0.0258514i
\(181\) 63.1899 843.210i 0.0259495 0.346273i −0.969084 0.246731i \(-0.920643\pi\)
0.995033 0.0995412i \(-0.0317375\pi\)
\(182\) −653.192 + 1664.31i −0.266032 + 0.677838i
\(183\) −1685.37 + 811.631i −0.680799 + 0.327855i
\(184\) −835.940 + 257.853i −0.334926 + 0.103311i
\(185\) 1591.41 + 4054.84i 0.632447 + 1.61145i
\(186\) −1620.78 1503.87i −0.638933 0.592843i
\(187\) −2380.85 + 1623.24i −0.931045 + 0.634775i
\(188\) 282.628 + 354.404i 0.109642 + 0.137487i
\(189\) −2294.26 + 345.804i −0.882977 + 0.133087i
\(190\) 5529.13 + 1705.51i 2.11119 + 0.651215i
\(191\) −235.496 3142.47i −0.0892140 1.19048i −0.844673 0.535282i \(-0.820205\pi\)
0.755459 0.655196i \(-0.227414\pi\)
\(192\) 2633.36 + 1795.39i 0.989825 + 0.674851i
\(193\) 493.012 + 2160.03i 0.183874 + 0.805606i 0.979763 + 0.200163i \(0.0641471\pi\)
−0.795888 + 0.605444i \(0.792996\pi\)
\(194\) −460.988 2019.72i −0.170603 0.747462i
\(195\) 2357.56 + 1607.36i 0.865788 + 0.590284i
\(196\) −0.555033 7.40641i −0.000202272 0.00269913i
\(197\) −1507.82 465.102i −0.545320 0.168209i 0.00984164 0.999952i \(-0.496867\pi\)
−0.555161 + 0.831743i \(0.687343\pi\)
\(198\) −605.496 + 91.2639i −0.217327 + 0.0327568i
\(199\) −1604.60 2012.10i −0.571592 0.716753i 0.409062 0.912507i \(-0.365856\pi\)
−0.980653 + 0.195754i \(0.937285\pi\)
\(200\) −1293.49 + 881.884i −0.457316 + 0.311793i
\(201\) 745.980 + 692.169i 0.261778 + 0.242895i
\(202\) 555.887 + 1416.38i 0.193624 + 0.493346i
\(203\) −0.844261 + 0.260420i −0.000291899 + 9.00389e-5i
\(204\) −364.158 + 175.369i −0.124981 + 0.0601878i
\(205\) 80.5233 205.170i 0.0274341 0.0699009i
\(206\) −78.9963 + 1054.13i −0.0267181 + 0.356528i
\(207\) 116.083 145.564i 0.0389774 0.0488762i
\(208\) 978.626 1695.03i 0.326228 0.565044i
\(209\) −3671.66 6359.49i −1.21519 2.10476i
\(210\) 3786.27 + 570.688i 1.24418 + 0.187530i
\(211\) 4053.30 + 1951.96i 1.32247 + 0.636866i 0.955946 0.293544i \(-0.0948346\pi\)
0.366521 + 0.930410i \(0.380549\pi\)
\(212\) 319.319 296.285i 0.103448 0.0959856i
\(213\) 523.570 2293.91i 0.168425 0.737916i
\(214\) 3006.13 0.960255
\(215\) 358.539 3874.27i 0.113731 1.22895i
\(216\) 2970.42 0.935700
\(217\) 619.734 2715.23i 0.193872 0.849411i
\(218\) 368.534 341.949i 0.114497 0.106237i
\(219\) 4360.22 + 2099.77i 1.34537 + 0.647897i
\(220\) 711.142 + 107.187i 0.217933 + 0.0328481i
\(221\) 1146.24 + 1985.34i 0.348888 + 0.604293i
\(222\) −2342.70 + 4057.67i −0.708251 + 1.22673i
\(223\) −4072.64 + 5106.93i −1.22298 + 1.53357i −0.458837 + 0.888520i \(0.651734\pi\)
−0.764143 + 0.645047i \(0.776838\pi\)
\(224\) −71.2539 + 950.817i −0.0212538 + 0.283612i
\(225\) 121.726 310.152i 0.0360669 0.0918970i
\(226\) −1455.01 + 700.694i −0.428254 + 0.206236i
\(227\) −474.075 + 146.233i −0.138614 + 0.0427569i −0.363286 0.931678i \(-0.618345\pi\)
0.224672 + 0.974435i \(0.427869\pi\)
\(228\) −376.308 958.816i −0.109305 0.278505i
\(229\) 880.866 + 817.324i 0.254189 + 0.235853i 0.796966 0.604024i \(-0.206437\pi\)
−0.542777 + 0.839877i \(0.682627\pi\)
\(230\) 1091.70 744.306i 0.312975 0.213383i
\(231\) −3029.82 3799.28i −0.862977 1.08214i
\(232\) 1.11849 0.168585i 0.000316519 4.77076e-5i
\(233\) 1279.95 + 394.811i 0.359880 + 0.111008i 0.469422 0.882974i \(-0.344462\pi\)
−0.109542 + 0.993982i \(0.534938\pi\)
\(234\) 36.4051 + 485.793i 0.0101704 + 0.135715i
\(235\) −4549.50 3101.80i −1.26288 0.861016i
\(236\) 132.245 + 579.403i 0.0364763 + 0.159813i
\(237\) −1331.12 5832.00i −0.364832 1.59843i
\(238\) 2541.80 + 1732.97i 0.692272 + 0.471983i
\(239\) 275.635 + 3678.09i 0.0745998 + 0.995465i 0.901405 + 0.432977i \(0.142537\pi\)
−0.826805 + 0.562488i \(0.809844\pi\)
\(240\) −4005.51 1235.54i −1.07731 0.332306i
\(241\) 1786.71 269.303i 0.477561 0.0719807i 0.0941488 0.995558i \(-0.469987\pi\)
0.383412 + 0.923577i \(0.374749\pi\)
\(242\) 1264.35 + 1585.45i 0.335850 + 0.421143i
\(243\) −1166.14 + 795.063i −0.307852 + 0.209890i
\(244\) 274.963 + 255.129i 0.0721423 + 0.0669382i
\(245\) 32.9605 + 83.9820i 0.00859498 + 0.0218997i
\(246\) 226.543 69.8792i 0.0587148 0.0181111i
\(247\) −5263.56 + 2534.80i −1.35592 + 0.652976i
\(248\) −1302.66 + 3319.12i −0.333544 + 0.849855i
\(249\) −25.3911 + 338.820i −0.00646222 + 0.0862323i
\(250\) −1343.28 + 1684.42i −0.339826 + 0.426129i
\(251\) 2535.56 4391.73i 0.637623 1.10440i −0.348330 0.937372i \(-0.613251\pi\)
0.985953 0.167024i \(-0.0534157\pi\)
\(252\) −54.0950 93.6953i −0.0135225 0.0234216i
\(253\) −1658.12 249.922i −0.412037 0.0621046i
\(254\) −4270.07 2056.36i −1.05483 0.507981i
\(255\) 3599.04 3339.42i 0.883846 0.820089i
\(256\) 380.067 1665.18i 0.0927898 0.406539i
\(257\) 4390.62 1.06568 0.532839 0.846217i \(-0.321125\pi\)
0.532839 + 0.846217i \(0.321125\pi\)
\(258\) 3498.57 2296.74i 0.844230 0.554221i
\(259\) −5901.89 −1.41593
\(260\) 127.316 557.808i 0.0303685 0.133053i
\(261\) −0.176471 + 0.163741i −4.18516e−5 + 3.88326e-5i
\(262\) −6117.71 2946.13i −1.44257 0.694705i
\(263\) 5315.86 + 801.237i 1.24635 + 0.187857i 0.738894 0.673821i \(-0.235348\pi\)
0.507455 + 0.861678i \(0.330586\pi\)
\(264\) 3110.68 + 5387.85i 0.725185 + 1.25606i
\(265\) −2645.65 + 4582.40i −0.613287 + 1.06224i
\(266\) −4887.99 + 6129.35i −1.12670 + 1.41284i
\(267\) 581.224 7755.89i 0.133222 1.77773i
\(268\) 74.5496 189.949i 0.0169920 0.0432948i
\(269\) 598.525 288.235i 0.135661 0.0653308i −0.364822 0.931077i \(-0.618870\pi\)
0.500483 + 0.865747i \(0.333156\pi\)
\(270\) −4287.12 + 1322.40i −0.966318 + 0.298070i
\(271\) 160.680 + 409.406i 0.0360170 + 0.0917698i 0.947751 0.319012i \(-0.103351\pi\)
−0.911734 + 0.410782i \(0.865256\pi\)
\(272\) −2468.74 2290.66i −0.550329 0.510631i
\(273\) −3194.27 + 2177.81i −0.708153 + 0.482811i
\(274\) 4230.97 + 5305.47i 0.932855 + 1.16976i
\(275\) −2967.30 + 447.249i −0.650673 + 0.0980731i
\(276\) −224.756 69.3280i −0.0490171 0.0151198i
\(277\) 251.668 + 3358.27i 0.0545894 + 0.728445i 0.955604 + 0.294655i \(0.0952048\pi\)
−0.901014 + 0.433789i \(0.857176\pi\)
\(278\) 2022.39 + 1378.84i 0.436312 + 0.297473i
\(279\) −168.862 739.831i −0.0362347 0.158755i
\(280\) −1374.05 6020.10i −0.293268 1.28489i
\(281\) −1039.93 709.015i −0.220773 0.150521i 0.447883 0.894092i \(-0.352178\pi\)
−0.668657 + 0.743571i \(0.733130\pi\)
\(282\) −442.605 5906.16i −0.0934637 1.24719i
\(283\) −4455.28 1374.27i −0.935826 0.288664i −0.210913 0.977505i \(-0.567644\pi\)
−0.724913 + 0.688841i \(0.758120\pi\)
\(284\) −466.531 + 70.3182i −0.0974772 + 0.0146923i
\(285\) 7800.92 + 9782.05i 1.62136 + 2.03312i
\(286\) 3625.17 2471.60i 0.749513 0.511009i
\(287\) 218.910 + 203.119i 0.0450239 + 0.0417761i
\(288\) 94.9154 + 241.840i 0.0194199 + 0.0494812i
\(289\) −925.408 + 285.451i −0.188359 + 0.0581011i
\(290\) −1.53923 + 0.741255i −0.000311679 + 0.000150097i
\(291\) 1636.59 4169.97i 0.329687 0.840028i
\(292\) 72.5184 967.691i 0.0145336 0.193938i
\(293\) −4867.39 + 6103.52i −0.970498 + 1.21697i 0.00567715 + 0.999984i \(0.498193\pi\)
−0.976175 + 0.216983i \(0.930379\pi\)
\(294\) −48.5209 + 84.0406i −0.00962516 + 0.0166713i
\(295\) −3609.53 6251.88i −0.712389 1.23389i
\(296\) 7471.54 + 1126.15i 1.46714 + 0.221136i
\(297\) 5129.92 + 2470.44i 1.00225 + 0.482658i
\(298\) 4261.62 3954.21i 0.828420 0.768662i
\(299\) −296.854 + 1300.60i −0.0574165 + 0.251558i
\(300\) −420.913 −0.0810047
\(301\) 4708.92 + 2369.98i 0.901720 + 0.453831i
\(302\) 1196.54 0.227990
\(303\) −732.120 + 3207.63i −0.138809 + 0.608163i
\(304\) 6291.30 5837.47i 1.18694 1.10132i
\(305\) −4105.08 1976.90i −0.770676 0.371138i
\(306\) 828.865 + 124.931i 0.154847 + 0.0233394i
\(307\) −4554.97 7889.43i −0.846794 1.46669i −0.884054 0.467384i \(-0.845197\pi\)
0.0372608 0.999306i \(-0.488137\pi\)
\(308\) −487.206 + 843.865i −0.0901335 + 0.156116i
\(309\) −1425.16 + 1787.10i −0.262377 + 0.329011i
\(310\) 402.450 5370.32i 0.0737343 0.983915i
\(311\) 1960.39 4995.00i 0.357439 0.910740i −0.633169 0.774013i \(-0.718246\pi\)
0.990609 0.136727i \(-0.0436584\pi\)
\(312\) 4459.36 2147.51i 0.809171 0.389676i
\(313\) 3520.88 1086.05i 0.635821 0.196125i 0.0399457 0.999202i \(-0.487281\pi\)
0.595875 + 0.803077i \(0.296805\pi\)
\(314\) 2662.92 + 6785.00i 0.478589 + 1.21943i
\(315\) 963.372 + 893.878i 0.172317 + 0.159887i
\(316\) −991.071 + 675.701i −0.176431 + 0.120288i
\(317\) −2821.46 3538.00i −0.499902 0.626857i 0.466305 0.884624i \(-0.345585\pi\)
−0.966207 + 0.257767i \(0.917013\pi\)
\(318\) −5627.92 + 848.272i −0.992447 + 0.149587i
\(319\) 2.07184 + 0.639079i 0.000363639 + 0.000112168i
\(320\) 580.131 + 7741.32i 0.101345 + 1.35235i
\(321\) 5370.76 + 3661.73i 0.933853 + 0.636690i
\(322\) 398.359 + 1745.33i 0.0689431 + 0.302060i
\(323\) 2236.84 + 9800.23i 0.385328 + 1.68823i
\(324\) 788.966 + 537.908i 0.135282 + 0.0922338i
\(325\) 178.407 + 2380.68i 0.0304500 + 0.406327i
\(326\) −8965.78 2765.58i −1.52322 0.469850i
\(327\) 1074.95 162.023i 0.181789 0.0274002i
\(328\) −238.373 298.910i −0.0401279 0.0503188i
\(329\) 6164.13 4202.63i 1.03295 0.704251i
\(330\) −6888.18 6391.29i −1.14904 1.06615i
\(331\) −387.524 987.394i −0.0643511 0.163964i 0.895081 0.445903i \(-0.147118\pi\)
−0.959432 + 0.281939i \(0.909022\pi\)
\(332\) 65.1034 20.0817i 0.0107621 0.00331966i
\(333\) −1448.86 + 697.734i −0.238429 + 0.114822i
\(334\) −3203.72 + 8162.94i −0.524849 + 1.33729i
\(335\) −185.231 + 2471.74i −0.0302098 + 0.403121i
\(336\) 3541.04 4440.33i 0.574939 0.720951i
\(337\) −207.430 + 359.280i −0.0335295 + 0.0580748i −0.882303 0.470681i \(-0.844008\pi\)
0.848774 + 0.528756i \(0.177341\pi\)
\(338\) 1132.69 + 1961.88i 0.182279 + 0.315717i
\(339\) −3453.03 520.460i −0.553224 0.0833850i
\(340\) −886.985 427.149i −0.141481 0.0681336i
\(341\) −5010.14 + 4648.73i −0.795643 + 0.738249i
\(342\) −475.332 + 2082.57i −0.0751550 + 0.329276i
\(343\) 6290.47 0.990243
\(344\) −5509.07 3898.81i −0.863457 0.611074i
\(345\) 2857.06 0.445852
\(346\) −1060.44 + 4646.11i −0.164768 + 0.721897i
\(347\) 2298.29 2132.50i 0.355558 0.329910i −0.482088 0.876123i \(-0.660121\pi\)
0.837646 + 0.546213i \(0.183931\pi\)
\(348\) 0.274003 + 0.131953i 4.22072e−5 + 2.03259e-5i
\(349\) 11962.3 + 1803.03i 1.83475 + 0.276544i 0.973003 0.230791i \(-0.0741312\pi\)
0.861749 + 0.507335i \(0.169369\pi\)
\(350\) 1601.84 + 2774.47i 0.244634 + 0.423719i
\(351\) 2264.90 3922.91i 0.344419 0.596552i
\(352\) 1458.89 1829.39i 0.220907 0.277008i
\(353\) 174.802 2332.58i 0.0263564 0.351701i −0.968398 0.249410i \(-0.919763\pi\)
0.994754 0.102292i \(-0.0326175\pi\)
\(354\) 2836.88 7228.26i 0.425929 1.08525i
\(355\) 5163.45 2486.59i 0.771965 0.371759i
\(356\) −1490.27 + 459.689i −0.221866 + 0.0684367i
\(357\) 2430.29 + 6192.28i 0.360293 + 0.918012i
\(358\) 2517.63 + 2336.02i 0.371678 + 0.344867i
\(359\) −1468.73 + 1001.37i −0.215924 + 0.147215i −0.666452 0.745548i \(-0.732188\pi\)
0.450528 + 0.892762i \(0.351236\pi\)
\(360\) −1049.02 1315.43i −0.153579 0.192582i
\(361\) −18548.5 + 2795.74i −2.70426 + 0.407601i
\(362\) 2116.92 + 652.985i 0.307357 + 0.0948070i
\(363\) 327.686 + 4372.67i 0.0473803 + 0.632247i
\(364\) 640.509 + 436.692i 0.0922303 + 0.0628815i
\(365\) 2622.98 + 11492.0i 0.376146 + 1.64800i
\(366\) −1090.55 4778.02i −0.155749 0.682379i
\(367\) 904.163 + 616.448i 0.128602 + 0.0876794i 0.625913 0.779893i \(-0.284727\pi\)
−0.497311 + 0.867573i \(0.665679\pi\)
\(368\) −146.455 1954.31i −0.0207459 0.276835i
\(369\) 77.7535 + 23.9838i 0.0109693 + 0.00338359i
\(370\) −11284.8 + 1700.91i −1.58560 + 0.238990i
\(371\) −4469.92 5605.10i −0.625517 0.784373i
\(372\) −792.088 + 540.036i −0.110397 + 0.0752677i
\(373\) −114.210 105.972i −0.0158541 0.0147105i 0.672206 0.740364i \(-0.265347\pi\)
−0.688060 + 0.725654i \(0.741537\pi\)
\(374\) −2758.13 7027.61i −0.381336 0.971629i
\(375\) −4451.69 + 1373.16i −0.613025 + 0.189093i
\(376\) −8605.43 + 4144.16i −1.18030 + 0.568401i
\(377\) 0.630187 1.60569i 8.60909e−5 0.000219356i
\(378\) 454.261 6061.69i 0.0618113 0.824814i
\(379\) 5494.38 6889.74i 0.744664 0.933779i −0.254785 0.966998i \(-0.582005\pi\)
0.999448 + 0.0332193i \(0.0105760\pi\)
\(380\) 1254.41 2172.71i 0.169342 0.293310i
\(381\) −5124.11 8875.22i −0.689019 1.19342i
\(382\) 8163.92 + 1230.51i 1.09346 + 0.164813i
\(383\) −5622.35 2707.58i −0.750100 0.361229i 0.0194538 0.999811i \(-0.493807\pi\)
−0.769554 + 0.638581i \(0.779522\pi\)
\(384\) −4426.74 + 4107.41i −0.588284 + 0.545848i
\(385\) 2633.81 11539.5i 0.348654 1.52755i
\(386\) −5804.65 −0.765411
\(387\) 1436.18 + 25.1082i 0.188644 + 0.00329799i
\(388\) −898.249 −0.117530
\(389\) −2191.37 + 9601.01i −0.285622 + 1.25139i 0.604846 + 0.796343i \(0.293235\pi\)
−0.890467 + 0.455047i \(0.849622\pi\)
\(390\) −5480.02 + 5084.71i −0.711517 + 0.660191i
\(391\) 2068.12 + 995.956i 0.267492 + 0.128818i
\(392\) 154.747 + 23.3244i 0.0199385 + 0.00300525i
\(393\) −7341.29 12715.5i −0.942288 1.63209i
\(394\) 2067.03 3580.20i 0.264303 0.457786i
\(395\) 9084.49 11391.6i 1.15719 1.45107i
\(396\) −19.8410 + 264.759i −0.00251779 + 0.0335976i
\(397\) −1187.30 + 3025.20i −0.150098 + 0.382444i −0.986071 0.166327i \(-0.946809\pi\)
0.835972 + 0.548772i \(0.184904\pi\)
\(398\) 6074.85 2925.49i 0.765087 0.368446i
\(399\) −16199.0 + 4996.73i −2.03249 + 0.626941i
\(400\) −1281.30 3264.71i −0.160163 0.408088i
\(401\) 2745.11 + 2547.09i 0.341855 + 0.317195i 0.832352 0.554248i \(-0.186994\pi\)
−0.490496 + 0.871443i \(0.663184\pi\)
\(402\) −2202.86 + 1501.89i −0.273306 + 0.186337i
\(403\) 3390.18 + 4251.15i 0.419049 + 0.525471i
\(404\) 652.361 98.3276i 0.0803371 0.0121089i
\(405\) −11083.8 3418.90i −1.35990 0.419472i
\(406\) −0.172981 2.30827i −2.11450e−5 0.000282161i
\(407\) 11966.8 + 8158.81i 1.45742 + 0.993654i
\(408\) −1895.08 8302.89i −0.229952 1.00749i
\(409\) −441.482 1934.26i −0.0533738 0.233846i 0.941204 0.337838i \(-0.109696\pi\)
−0.994578 + 0.103992i \(0.966838\pi\)
\(410\) 477.110 + 325.288i 0.0574702 + 0.0391825i
\(411\) 1096.55 + 14632.5i 0.131603 + 1.75612i
\(412\) 437.978 + 135.098i 0.0523729 + 0.0161549i
\(413\) 9671.86 1457.80i 1.15235 0.173689i
\(414\) 304.129 + 381.366i 0.0361042 + 0.0452733i
\(415\) −683.781 + 466.194i −0.0808807 + 0.0551436i
\(416\) −1364.60 1266.16i −0.160829 0.149228i
\(417\) 1933.66 + 4926.90i 0.227079 + 0.578588i
\(418\) 18384.2 5670.78i 2.15120 0.663557i
\(419\) −981.240 + 472.540i −0.114407 + 0.0550957i −0.490212 0.871603i \(-0.663081\pi\)
0.375805 + 0.926699i \(0.377366\pi\)
\(420\) 606.548 1545.46i 0.0704679 0.179549i
\(421\) −669.444 + 8933.11i −0.0774981 + 1.03414i 0.813926 + 0.580969i \(0.197326\pi\)
−0.891424 + 0.453171i \(0.850293\pi\)
\(422\) −7348.82 + 9215.12i −0.847713 + 1.06300i
\(423\) 1016.39 1760.44i 0.116829 0.202354i
\(424\) 4589.21 + 7948.74i 0.525640 + 0.910436i
\(425\) 4061.94 + 612.239i 0.463607 + 0.0698776i
\(426\) 5553.97 + 2674.65i 0.631668 + 0.304195i
\(427\) 4525.37 4198.93i 0.512876 0.475880i
\(428\) 290.039 1270.74i 0.0327559 0.143513i
\(429\) 9487.37 1.06773
\(430\) 9686.81 + 3174.45i 1.08637 + 0.356013i
\(431\) −8840.93 −0.988057 −0.494029 0.869446i \(-0.664476\pi\)
−0.494029 + 0.869446i \(0.664476\pi\)
\(432\) −1480.76 + 6487.64i −0.164915 + 0.722539i
\(433\) 1332.77 1236.63i 0.147919 0.137249i −0.602742 0.797936i \(-0.705925\pi\)
0.750662 + 0.660687i \(0.229735\pi\)
\(434\) 6574.07 + 3165.90i 0.727109 + 0.350157i
\(435\) −3.65292 0.550589i −0.000402630 6.06867e-5i
\(436\) −108.991 188.778i −0.0119718 0.0207358i
\(437\) −2924.83 + 5065.96i −0.320169 + 0.554549i
\(438\) −7905.28 + 9912.91i −0.862395 + 1.08141i
\(439\) −346.914 + 4629.24i −0.0377159 + 0.503284i 0.946073 + 0.323953i \(0.105012\pi\)
−0.983789 + 0.179330i \(0.942607\pi\)
\(440\) −5536.17 + 14105.9i −0.599833 + 1.52835i
\(441\) −30.0081 + 14.4511i −0.00324027 + 0.00156043i
\(442\) −5739.29 + 1770.34i −0.617625 + 0.190512i
\(443\) −2460.21 6268.52i −0.263856 0.672295i 0.736133 0.676836i \(-0.236650\pi\)
−0.999990 + 0.00454168i \(0.998554\pi\)
\(444\) 1489.22 + 1381.79i 0.159179 + 0.147696i
\(445\) 15652.4 10671.6i 1.66740 1.13681i
\(446\) −10670.0 13379.8i −1.13283 1.42052i
\(447\) 12430.4 1873.58i 1.31530 0.198249i
\(448\) −10050.8 3100.28i −1.05995 0.326951i
\(449\) −531.528 7092.75i −0.0558672 0.745495i −0.952852 0.303435i \(-0.901867\pi\)
0.896985 0.442061i \(-0.145752\pi\)
\(450\) 721.240 + 491.733i 0.0755546 + 0.0515122i
\(451\) −163.073 714.470i −0.0170262 0.0745966i
\(452\) 155.813 + 682.661i 0.0162142 + 0.0710391i
\(453\) 2137.74 + 1457.49i 0.221722 + 0.151167i
\(454\) −97.1334 1296.16i −0.0100412 0.133990i
\(455\) −8998.20 2775.58i −0.927126 0.285980i
\(456\) 21460.7 3234.68i 2.20392 0.332188i
\(457\) −1639.29 2055.60i −0.167796 0.210409i 0.690823 0.723024i \(-0.257248\pi\)
−0.858619 + 0.512615i \(0.828677\pi\)
\(458\) −2601.18 + 1773.45i −0.265382 + 0.180935i
\(459\) −5713.57 5301.42i −0.581016 0.539104i
\(460\) −209.301 533.291i −0.0212146 0.0540540i
\(461\) −9488.59 + 2926.84i −0.958628 + 0.295698i −0.734307 0.678818i \(-0.762493\pi\)
−0.224321 + 0.974515i \(0.572016\pi\)
\(462\) 11470.6 5523.96i 1.15511 0.556273i
\(463\) 514.552 1311.06i 0.0516485 0.131598i −0.902721 0.430226i \(-0.858434\pi\)
0.954370 + 0.298628i \(0.0965290\pi\)
\(464\) −0.189366 + 2.52692i −1.89463e−5 + 0.000252821i
\(465\) 7260.54 9104.43i 0.724085 0.907974i
\(466\) −1754.64 + 3039.12i −0.174425 + 0.302113i
\(467\) 2341.40 + 4055.42i 0.232006 + 0.401847i 0.958398 0.285434i \(-0.0921377\pi\)
−0.726392 + 0.687280i \(0.758804\pi\)
\(468\) 208.866 + 31.4814i 0.0206300 + 0.00310947i
\(469\) −3025.78 1457.14i −0.297905 0.143463i
\(470\) 10575.0 9812.21i 1.03785 0.962986i
\(471\) −3507.14 + 15365.8i −0.343101 + 1.50322i
\(472\) −12522.3 −1.22116
\(473\) −6271.62 11315.0i −0.609661 1.09993i
\(474\) 15672.4 1.51868
\(475\) −2329.42 + 10205.8i −0.225013 + 0.985844i
\(476\) 977.798 907.264i 0.0941540 0.0873621i
\(477\) −1759.97 847.557i −0.168938 0.0813564i
\(478\) −9555.43 1440.25i −0.914342 0.137815i
\(479\) 2861.91 + 4956.98i 0.272994 + 0.472840i 0.969627 0.244588i \(-0.0786527\pi\)
−0.696633 + 0.717428i \(0.745319\pi\)
\(480\) −1993.37 + 3452.62i −0.189551 + 0.328312i
\(481\) 7184.20 9008.71i 0.681022 0.853974i
\(482\) −353.767 + 4720.69i −0.0334308 + 0.446103i
\(483\) −1414.25 + 3603.45i −0.133231 + 0.339467i
\(484\) 792.185 381.496i 0.0743976 0.0358280i
\(485\) 10426.4 3216.11i 0.976158 0.301105i
\(486\) −1350.93 3442.12i −0.126090 0.321271i
\(487\) −4518.38 4192.44i −0.420426 0.390098i 0.441393 0.897314i \(-0.354484\pi\)
−0.861819 + 0.507216i \(0.830675\pi\)
\(488\) −6530.14 + 4452.17i −0.605749 + 0.412993i
\(489\) −12649.6 15862.1i −1.16981 1.46689i
\(490\) −233.726 + 35.2285i −0.0215483 + 0.00324788i
\(491\) 10068.4 + 3105.70i 0.925423 + 0.285455i 0.720606 0.693345i \(-0.243864\pi\)
0.204817 + 0.978800i \(0.434340\pi\)
\(492\) −7.68174 102.506i −0.000703902 0.00939291i
\(493\) −2.45228 1.67194i −0.000224027 0.000152739i
\(494\) −3405.88 14922.2i −0.310198 1.35907i
\(495\) −717.646 3144.21i −0.0651632 0.285499i
\(496\) −6599.86 4499.71i −0.597464 0.407344i
\(497\) 580.275 + 7743.23i 0.0523720 + 0.698856i
\(498\) −850.626 262.383i −0.0765411 0.0236098i
\(499\) −1626.90 + 245.215i −0.145952 + 0.0219987i −0.221612 0.975135i \(-0.571132\pi\)
0.0756600 + 0.997134i \(0.475894\pi\)
\(500\) 582.431 + 730.346i 0.0520942 + 0.0653241i
\(501\) −15667.0 + 10681.6i −1.39710 + 0.952529i
\(502\) 9739.33 + 9036.78i 0.865911 + 0.803448i
\(503\) −2058.31 5244.49i −0.182456 0.464892i 0.810157 0.586213i \(-0.199382\pi\)
−0.992613 + 0.121322i \(0.961287\pi\)
\(504\) 2178.35 671.932i 0.192523 0.0593854i
\(505\) −7220.18 + 3477.05i −0.636225 + 0.306390i
\(506\) 1605.03 4089.55i 0.141012 0.359293i
\(507\) −366.067 + 4884.83i −0.0320663 + 0.427895i
\(508\) −1281.25 + 1606.63i −0.111902 + 0.140320i
\(509\) −2873.06 + 4976.29i −0.250189 + 0.433340i −0.963578 0.267428i \(-0.913826\pi\)
0.713389 + 0.700769i \(0.247159\pi\)
\(510\) 6431.49 + 11139.7i 0.558414 + 0.967201i
\(511\) −15792.6 2380.36i −1.36717 0.206068i
\(512\) 11714.8 + 5641.55i 1.01118 + 0.486960i
\(513\) 14560.4 13510.0i 1.25313 1.16273i
\(514\) −2559.68 + 11214.7i −0.219655 + 0.962372i
\(515\) −5567.51 −0.476376
\(516\) −633.323 1700.50i −0.0540320 0.145078i
\(517\) −18308.2 −1.55744
\(518\) 3440.74 15074.9i 0.291848 1.27867i
\(519\) −7553.97 + 7009.06i −0.638887 + 0.592801i
\(520\) 10861.7 + 5230.73i 0.915996 + 0.441121i
\(521\) −10947.8 1650.11i −0.920594 0.138757i −0.328387 0.944543i \(-0.606505\pi\)
−0.592207 + 0.805786i \(0.701743\pi\)
\(522\) −0.315353 0.546208i −2.64418e−5 4.57986e-5i
\(523\) 4907.38 8499.83i 0.410296 0.710653i −0.584626 0.811303i \(-0.698759\pi\)
0.994922 + 0.100650i \(0.0320921\pi\)
\(524\) −1835.63 + 2301.81i −0.153034 + 0.191899i
\(525\) −517.688 + 6908.06i −0.0430357 + 0.574272i
\(526\) −5145.64 + 13110.9i −0.426541 + 1.08681i
\(527\) 8429.41 4059.39i 0.696756 0.335540i
\(528\) −13318.2 + 4108.12i −1.09773 + 0.338604i
\(529\) −3957.09 10082.5i −0.325231 0.828676i
\(530\) −10162.2 9429.12i −0.832862 0.772783i
\(531\) 2202.01 1501.30i 0.179960 0.122695i
\(532\) 2119.38 + 2657.61i 0.172719 + 0.216583i
\(533\) −576.516 + 86.8957i −0.0468511 + 0.00706167i
\(534\) 19471.6 + 6006.19i 1.57794 + 0.486729i
\(535\) 1183.18 + 15788.5i 0.0956141 + 1.27588i
\(536\) 3552.46 + 2422.03i 0.286274 + 0.195178i
\(537\) 1652.54 + 7240.23i 0.132797 + 0.581823i
\(538\) 387.287 + 1696.82i 0.0310356 + 0.135976i
\(539\) 247.850 + 168.981i 0.0198064 + 0.0135038i
\(540\) 145.370 + 1939.83i 0.0115847 + 0.154587i
\(541\) −3068.95 946.645i −0.243890 0.0752301i 0.170400 0.985375i \(-0.445494\pi\)
−0.414290 + 0.910145i \(0.635970\pi\)
\(542\) −1139.40 + 171.736i −0.0902975 + 0.0136102i
\(543\) 2986.72 + 3745.23i 0.236045 + 0.295991i
\(544\) −2646.49 + 1804.35i −0.208580 + 0.142207i
\(545\) 1941.01 + 1800.99i 0.152557 + 0.141552i
\(546\) −3700.44 9428.57i −0.290045 0.739021i
\(547\) −9018.92 + 2781.97i −0.704974 + 0.217456i −0.626456 0.779457i \(-0.715495\pi\)
−0.0785185 + 0.996913i \(0.525019\pi\)
\(548\) 2650.93 1276.62i 0.206646 0.0995155i
\(549\) 614.530 1565.80i 0.0477733 0.121724i
\(550\) 587.523 7839.95i 0.0455492 0.607812i
\(551\) 4.71584 5.91348i 0.000364613 0.000457210i
\(552\) 2477.96 4291.95i 0.191067 0.330938i
\(553\) 9870.73 + 17096.6i 0.759035 + 1.31469i
\(554\) −8724.57 1315.02i −0.669082 0.100848i
\(555\) −22233.4 10707.0i −1.70046 0.818899i
\(556\) 777.986 721.865i 0.0593416 0.0550610i
\(557\) 2342.56 10263.4i 0.178200 0.780746i −0.804261 0.594277i \(-0.797438\pi\)
0.982461 0.186469i \(-0.0597045\pi\)
\(558\) 1988.15 0.150834
\(559\) −9349.59 + 4302.84i −0.707416 + 0.325565i
\(560\) 13833.4 1.04387
\(561\) 3632.55 15915.2i 0.273380 1.19776i
\(562\) 2417.27 2242.89i 0.181435 0.168347i
\(563\) 7998.55 + 3851.90i 0.598755 + 0.288345i 0.708608 0.705603i \(-0.249324\pi\)
−0.109853 + 0.993948i \(0.535038\pi\)
\(564\) −2539.34 382.744i −0.189584 0.0285752i
\(565\) −4252.80 7366.06i −0.316666 0.548482i
\(566\) 6107.60 10578.7i 0.453572 0.785609i
\(567\) 9798.55 12287.0i 0.725750 0.910062i
\(568\) 742.901 9913.32i 0.0548793 0.732313i
\(569\) 3070.75 7824.15i 0.226244 0.576460i −0.772005 0.635617i \(-0.780746\pi\)
0.998249 + 0.0591569i \(0.0188412\pi\)
\(570\) −29533.6 + 14222.6i −2.17022 + 1.04512i
\(571\) 17617.9 5434.41i 1.29122 0.398289i 0.428304 0.903635i \(-0.359111\pi\)
0.862917 + 0.505346i \(0.168635\pi\)
\(572\) −695.022 1770.89i −0.0508048 0.129449i
\(573\) 13086.9 + 12142.8i 0.954121 + 0.885294i
\(574\) −646.437 + 440.733i −0.0470065 + 0.0320485i
\(575\) 1490.42 + 1868.93i 0.108095 + 0.135547i
\(576\) −2833.91 + 427.143i −0.204999 + 0.0308987i
\(577\) 1734.89 + 535.142i 0.125172 + 0.0386105i 0.356708 0.934216i \(-0.383899\pi\)
−0.231536 + 0.972826i \(0.574375\pi\)
\(578\) −189.607 2530.13i −0.0136447 0.182075i
\(579\) −10370.6 7070.57i −0.744367 0.507501i
\(580\) 0.164833 + 0.722179i 1.18005e−5 + 5.17014e-5i
\(581\) −249.511 1093.18i −0.0178167 0.0780599i
\(582\) 9697.00 + 6611.31i 0.690642 + 0.470872i
\(583\) 1314.76 + 17544.3i 0.0933993 + 1.24633i
\(584\) 19538.6 + 6026.86i 1.38444 + 0.427043i
\(585\) −2537.11 + 382.408i −0.179310 + 0.0270267i
\(586\) −12752.2 15990.8i −0.898958 1.12726i
\(587\) 3636.37 2479.23i 0.255688 0.174325i −0.428692 0.903451i \(-0.641025\pi\)
0.684380 + 0.729126i \(0.260073\pi\)
\(588\) 30.8440 + 28.6191i 0.00216324 + 0.00200720i
\(589\) 8710.64 + 22194.4i 0.609365 + 1.55264i
\(590\) 18073.1 5574.82i 1.26112 0.389003i
\(591\) 8053.96 3878.58i 0.560568 0.269955i
\(592\) −6184.20 + 15757.1i −0.429340 + 1.09394i
\(593\) 1052.62 14046.2i 0.0728933 0.972694i −0.834118 0.551587i \(-0.814023\pi\)
0.907011 0.421107i \(-0.138358\pi\)
\(594\) −9300.78 + 11662.8i −0.642451 + 0.805608i
\(595\) −8101.33 + 14031.9i −0.558189 + 0.966811i
\(596\) −1260.34 2182.98i −0.0866201 0.150030i
\(597\) 14416.9 + 2172.99i 0.988347 + 0.148969i
\(598\) −3148.99 1516.48i −0.215338 0.103701i
\(599\) 10891.7 10106.0i 0.742944 0.689351i −0.214901 0.976636i \(-0.568943\pi\)
0.957845 + 0.287285i \(0.0927525\pi\)
\(600\) 1973.51 8646.53i 0.134281 0.588322i
\(601\) 8545.44 0.579993 0.289997 0.957028i \(-0.406346\pi\)
0.289997 + 0.957028i \(0.406346\pi\)
\(602\) −8798.74 + 10646.1i −0.595697 + 0.720766i
\(603\) −915.065 −0.0617982
\(604\) 115.445 505.798i 0.00777714 0.0340739i
\(605\) −7829.31 + 7264.54i −0.526127 + 0.488175i
\(606\) −7766.24 3740.03i −0.520598 0.250707i
\(607\) 16383.4 + 2469.40i 1.09552 + 0.165123i 0.671846 0.740691i \(-0.265502\pi\)
0.423675 + 0.905814i \(0.360740\pi\)
\(608\) −4081.31 7069.04i −0.272235 0.471525i
\(609\) 2.50262 4.33467i 0.000166521 0.000288423i
\(610\) 7442.70 9332.86i 0.494010 0.619469i
\(611\) −1088.48 + 14524.7i −0.0720705 + 0.961714i
\(612\) 132.782 338.322i 0.00877023 0.0223462i
\(613\) 9278.70 4468.38i 0.611359 0.294415i −0.102469 0.994736i \(-0.532674\pi\)
0.713828 + 0.700321i \(0.246960\pi\)
\(614\) 22807.0 7035.03i 1.49905 0.462395i
\(615\) 456.178 + 1162.32i 0.0299104 + 0.0762104i
\(616\) −15050.6 13964.9i −0.984425 0.913413i
\(617\) −20078.6 + 13689.4i −1.31011 + 0.893215i −0.998377 0.0569561i \(-0.981860\pi\)
−0.311729 + 0.950171i \(0.600908\pi\)
\(618\) −3733.82 4682.06i −0.243036 0.304758i
\(619\) 17746.4 2674.84i 1.15232 0.173685i 0.455033 0.890475i \(-0.349628\pi\)
0.697289 + 0.716790i \(0.254390\pi\)
\(620\) −2231.30 688.265i −0.144534 0.0445829i
\(621\) −338.950 4522.97i −0.0219027 0.292272i
\(622\) 11615.5 + 7919.34i 0.748779 + 0.510509i
\(623\) 5711.54 + 25023.9i 0.367300 + 1.60925i
\(624\) 2467.35 + 10810.2i 0.158290 + 0.693514i
\(625\) −16130.5 10997.6i −1.03235 0.703846i
\(626\) 721.394 + 9626.34i 0.0460586 + 0.614610i
\(627\) 39752.9 + 12262.1i 2.53202 + 0.781025i
\(628\) 3125.06 471.028i 0.198573 0.0299300i
\(629\) −12361.6 15500.9i −0.783605 0.982609i
\(630\) −2844.82 + 1939.56i −0.179905 + 0.122657i
\(631\) −10135.5 9404.41i −0.639445 0.593318i 0.292346 0.956312i \(-0.405564\pi\)
−0.931791 + 0.362994i \(0.881754\pi\)
\(632\) −9233.68 23527.0i −0.581164 1.48078i
\(633\) −24354.3 + 7512.30i −1.52922 + 0.471702i
\(634\) 10681.8 5144.07i 0.669129 0.322235i
\(635\) 9119.55 23236.2i 0.569918 1.45213i
\(636\) −184.416 + 2460.86i −0.0114978 + 0.153427i
\(637\) 148.796 186.584i 0.00925511 0.0116055i
\(638\) −2.84022 + 4.91941i −0.000176247 + 0.000305269i
\(639\) 1057.87 + 1832.29i 0.0654911 + 0.113434i
\(640\) −14544.5 2192.22i −0.898313 0.135399i
\(641\) 13793.4 + 6642.55i 0.849931 + 0.409305i 0.807552 0.589796i \(-0.200792\pi\)
0.0423793 + 0.999102i \(0.486506\pi\)
\(642\) −12484.0 + 11583.5i −0.767454 + 0.712093i
\(643\) −1313.17 + 5753.36i −0.0805386 + 0.352862i −0.999100 0.0424156i \(-0.986495\pi\)
0.918562 + 0.395278i \(0.129352\pi\)
\(644\) 776.215 0.0474956
\(645\) 13439.8 + 17470.9i 0.820449 + 1.06654i
\(646\) −26336.2 −1.60400
\(647\) −1136.65 + 4979.98i −0.0690669 + 0.302602i −0.997649 0.0685240i \(-0.978171\pi\)
0.928583 + 0.371126i \(0.121028\pi\)
\(648\) −14749.1 + 13685.1i −0.894132 + 0.829633i
\(649\) −21626.1 10414.6i −1.30801 0.629904i
\(650\) −6184.85 932.216i −0.373215 0.0562531i
\(651\) 7888.92 + 13664.0i 0.474948 + 0.822634i
\(652\) −2034.10 + 3523.16i −0.122180 + 0.211622i
\(653\) −4406.46 + 5525.52i −0.264070 + 0.331134i −0.896135 0.443782i \(-0.853636\pi\)
0.632064 + 0.774916i \(0.282208\pi\)
\(654\) −212.839 + 2840.14i −0.0127258 + 0.169814i
\(655\) 13065.5 33290.4i 0.779409 1.98590i
\(656\) 771.676 371.619i 0.0459282 0.0221178i
\(657\) −4158.36 + 1282.68i −0.246930 + 0.0761678i
\(658\) 7140.92 + 18194.8i 0.423073 + 1.07797i
\(659\) 3409.73 + 3163.77i 0.201554 + 0.187015i 0.774492 0.632584i \(-0.218006\pi\)
−0.572937 + 0.819599i \(0.694196\pi\)
\(660\) −3366.30 + 2295.10i −0.198535 + 0.135359i
\(661\) 16603.5 + 20820.1i 0.977004 + 1.22512i 0.974329 + 0.225127i \(0.0722798\pi\)
0.00267426 + 0.999996i \(0.499149\pi\)
\(662\) 2747.97 414.189i 0.161333 0.0243171i
\(663\) −12410.3 3828.07i −0.726962 0.224238i
\(664\) 107.278 + 1431.53i 0.00626989 + 0.0836659i
\(665\) −34115.9 23259.8i −1.98941 1.35636i
\(666\) −937.512 4107.51i −0.0545463 0.238983i
\(667\) −0.384329 1.68386i −2.23108e−5 9.77499e-5i
\(668\) 3141.52 + 2141.85i 0.181959 + 0.124058i
\(669\) −2765.39 36901.5i −0.159815 2.13258i
\(670\) −6205.44 1914.12i −0.357816 0.110372i
\(671\) −14980.4 + 2257.93i −0.861863 + 0.129905i
\(672\) −3367.87 4223.17i −0.193331 0.242429i
\(673\) 14580.4 9940.72i 0.835114 0.569371i −0.0685332 0.997649i \(-0.521832\pi\)
0.903647 + 0.428278i \(0.140880\pi\)
\(674\) −796.758 739.283i −0.0455341 0.0422495i
\(675\) −2965.40 7555.72i −0.169094 0.430844i
\(676\) 938.606 289.522i 0.0534027 0.0164726i
\(677\) −2195.60 + 1057.35i −0.124644 + 0.0600253i −0.495166 0.868798i \(-0.664893\pi\)
0.370523 + 0.928823i \(0.379179\pi\)
\(678\) 3342.46 8516.45i 0.189331 0.482407i
\(679\) −1104.77 + 14742.1i −0.0624407 + 0.833213i
\(680\) 12933.4 16218.0i 0.729372 0.914604i
\(681\) 1405.29 2434.04i 0.0790762 0.136964i
\(682\) −8953.13 15507.3i −0.502688 0.870680i
\(683\) −30179.3 4548.79i −1.69074 0.254838i −0.768054 0.640385i \(-0.778775\pi\)
−0.922688 + 0.385547i \(0.874013\pi\)
\(684\) 834.476 + 401.862i 0.0466476 + 0.0224643i
\(685\) −26199.6 + 24309.7i −1.46137 + 1.35595i
\(686\) −3667.28 + 16067.4i −0.204107 + 0.894250i
\(687\) −6807.51 −0.378053
\(688\) 11261.6 10088.7i 0.624048 0.559053i
\(689\) 13996.8 0.773927
\(690\) −1665.64 + 7297.62i −0.0918980 + 0.402632i
\(691\) 2572.22 2386.67i 0.141609 0.131394i −0.606188 0.795321i \(-0.707302\pi\)
0.747797 + 0.663927i \(0.231112\pi\)
\(692\) 1861.68 + 896.537i 0.102269 + 0.0492503i
\(693\) 4320.85 + 651.264i 0.236848 + 0.0356991i
\(694\) 4107.05 + 7113.62i 0.224642 + 0.389091i
\(695\) −6445.83 + 11164.5i −0.351805 + 0.609344i
\(696\) −3.99532 + 5.00998i −0.000217590 + 0.000272849i
\(697\) −74.9685 + 1000.39i −0.00407408 + 0.0543648i
\(698\) −11579.3 + 29503.5i −0.627912 + 1.59989i
\(699\) −6836.77 + 3292.41i −0.369943 + 0.178155i
\(700\) 1327.37 409.438i 0.0716710 0.0221076i
\(701\) 749.608 + 1909.97i 0.0403884 + 0.102908i 0.949645 0.313328i \(-0.101444\pi\)
−0.909256 + 0.416237i \(0.863349\pi\)
\(702\) 8699.66 + 8072.11i 0.467732 + 0.433992i
\(703\) 41745.9 28461.9i 2.23965 1.52697i
\(704\) 16093.4 + 20180.5i 0.861568 + 1.08037i
\(705\) 30845.6 4649.22i 1.64782 0.248369i
\(706\) 5856.06 + 1806.35i 0.312175 + 0.0962932i
\(707\) −811.412 10827.5i −0.0431631 0.575971i
\(708\) −2781.80 1896.60i −0.147665 0.100676i
\(709\) −577.487 2530.13i −0.0305895 0.134021i 0.957327 0.289005i \(-0.0933246\pi\)
−0.987917 + 0.154984i \(0.950467\pi\)
\(710\) 3341.11 + 14638.4i 0.176605 + 0.773758i
\(711\) 4444.37 + 3030.12i 0.234426 + 0.159829i
\(712\) −2455.70 32769.0i −0.129257 1.72482i
\(713\) 5202.58 + 1604.78i 0.273265 + 0.0842911i
\(714\) −17233.4 + 2597.52i −0.903284 + 0.136148i
\(715\) 14407.9 + 18067.0i 0.753603 + 0.944988i
\(716\) 1230.38 838.860i 0.0642200 0.0437845i
\(717\) −15317.5 14212.5i −0.797825 0.740274i
\(718\) −1701.48 4335.29i −0.0884380 0.225336i
\(719\) 8586.83 2648.69i 0.445389 0.137384i −0.0639445 0.997953i \(-0.520368\pi\)
0.509334 + 0.860569i \(0.329892\pi\)
\(720\) 3395.96 1635.41i 0.175778 0.0846502i
\(721\) 2755.92 7021.98i 0.142352 0.362708i
\(722\) 3672.59 49007.2i 0.189307 2.52612i
\(723\) −6382.26 + 8003.10i −0.328297 + 0.411672i
\(724\) 480.274 831.860i 0.0246537 0.0427014i
\(725\) −1.54542 2.67675i −7.91663e−5 0.000137120i
\(726\) −11359.9 1712.23i −0.580723 0.0875299i
\(727\) −24069.8 11591.4i −1.22792 0.591335i −0.296414 0.955060i \(-0.595791\pi\)
−0.931507 + 0.363724i \(0.881505\pi\)
\(728\) −11973.8 + 11110.1i −0.609585 + 0.565613i
\(729\) −3271.11 + 14331.7i −0.166190 + 0.728124i
\(730\) −30882.6 −1.56578
\(731\) 3638.30 + 17331.6i 0.184087 + 0.876924i
\(732\) −2124.97 −0.107297
\(733\) 6251.79 27390.9i 0.315027 1.38023i −0.531129 0.847291i \(-0.678232\pi\)
0.846157 0.532934i \(-0.178911\pi\)
\(734\) −2101.67 + 1950.07i −0.105687 + 0.0980632i
\(735\) −460.488 221.759i −0.0231093 0.0111289i
\(736\) −1843.12 277.806i −0.0923077 0.0139131i
\(737\) 4120.76 + 7137.37i 0.205957 + 0.356728i
\(738\) −106.590 + 184.619i −0.00531657 + 0.00920856i
\(739\) −16687.3 + 20925.2i −0.830651 + 1.04160i 0.167792 + 0.985822i \(0.446336\pi\)
−0.998443 + 0.0557806i \(0.982235\pi\)
\(740\) −369.782 + 4934.40i −0.0183696 + 0.245125i
\(741\) 12091.5 30808.7i 0.599451 1.52738i
\(742\) 16922.7 8149.55i 0.837267 0.403207i
\(743\) −14800.2 + 4565.24i −0.730774 + 0.225414i −0.637743 0.770249i \(-0.720132\pi\)
−0.0930311 + 0.995663i \(0.529656\pi\)
\(744\) −7379.78 18803.4i −0.363650 0.926565i
\(745\) 22445.3 + 20826.2i 1.10380 + 1.02418i
\(746\) 337.261 229.941i 0.0165523 0.0112852i
\(747\) −190.491 238.868i −0.00933025 0.0116998i
\(748\) −3236.81 + 487.870i −0.158221 + 0.0238480i
\(749\) −20498.8 6323.05i −1.00001 0.308463i
\(750\) −912.108 12171.2i −0.0444073 0.592574i
\(751\) 12247.6 + 8350.28i 0.595102 + 0.405734i 0.823074 0.567934i \(-0.192257\pi\)
−0.227972 + 0.973668i \(0.573209\pi\)
\(752\) −4761.36 20860.9i −0.230889 1.01159i
\(753\) 6392.76 + 28008.5i 0.309383 + 1.35549i
\(754\) 3.73393 + 2.54575i 0.000180347 + 0.000122958i
\(755\) 470.947 + 6284.35i 0.0227013 + 0.302928i
\(756\) −2518.55 776.871i −0.121163 0.0373737i
\(757\) −2564.71 + 386.567i −0.123139 + 0.0185601i −0.210322 0.977632i \(-0.567451\pi\)
0.0871838 + 0.996192i \(0.472213\pi\)
\(758\)