Properties

Label 210.3.w.b.17.10
Level 210
Weight 3
Character 210.17
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.10
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.b.173.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36603 + 0.366025i) q^{2} +(1.22328 - 2.73927i) q^{3} +(1.73205 + 1.00000i) q^{4} +(4.98956 - 0.322873i) q^{5} +(2.67368 - 3.29415i) q^{6} +(-4.85698 - 5.04081i) q^{7} +(2.00000 + 2.00000i) q^{8} +(-6.00715 - 6.70180i) q^{9} +O(q^{10})\) \(q+(1.36603 + 0.366025i) q^{2} +(1.22328 - 2.73927i) q^{3} +(1.73205 + 1.00000i) q^{4} +(4.98956 - 0.322873i) q^{5} +(2.67368 - 3.29415i) q^{6} +(-4.85698 - 5.04081i) q^{7} +(2.00000 + 2.00000i) q^{8} +(-6.00715 - 6.70180i) q^{9} +(6.93405 + 1.38525i) q^{10} +(17.0019 + 9.81605i) q^{11} +(4.85806 - 3.52126i) q^{12} +(-7.73283 - 7.73283i) q^{13} +(-4.78970 - 8.66365i) q^{14} +(5.21922 - 14.0627i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-12.2729 + 3.28852i) q^{17} +(-5.75289 - 11.3536i) q^{18} +(0.306444 + 0.530777i) q^{19} +(8.96505 + 4.43033i) q^{20} +(-19.7496 + 7.13822i) q^{21} +(19.6321 + 19.6321i) q^{22} +(-3.26736 + 12.1940i) q^{23} +(7.92510 - 3.03196i) q^{24} +(24.7915 - 3.22199i) q^{25} +(-7.73283 - 13.3937i) q^{26} +(-25.7065 + 8.25698i) q^{27} +(-3.37173 - 13.5879i) q^{28} +29.8506 q^{29} +(12.2769 - 17.2996i) q^{30} +(-17.4831 - 10.0939i) q^{31} +(1.46410 + 5.46410i) q^{32} +(47.6869 - 34.5649i) q^{33} -17.9688 q^{34} +(-25.8618 - 23.5832i) q^{35} +(-3.70289 - 17.6150i) q^{36} +(-3.54563 + 13.2325i) q^{37} +(0.224333 + 0.837221i) q^{38} +(-30.6417 + 11.7228i) q^{39} +(10.6249 + 9.33338i) q^{40} +75.0186 q^{41} +(-29.5912 + 2.52215i) q^{42} +(-46.7727 + 46.7727i) q^{43} +(19.6321 + 34.0038i) q^{44} +(-32.1369 - 31.4995i) q^{45} +(-8.92659 + 15.4613i) q^{46} +(-13.4679 + 50.2630i) q^{47} +(11.9357 - 1.24095i) q^{48} +(-1.81945 + 48.9662i) q^{49} +(35.0452 + 4.67300i) q^{50} +(-6.00514 + 37.6415i) q^{51} +(-5.66082 - 21.1265i) q^{52} +(-64.3636 + 17.2462i) q^{53} +(-38.1379 + 1.87002i) q^{54} +(88.0014 + 43.4884i) q^{55} +(0.367649 - 19.7956i) q^{56} +(1.82881 - 0.190141i) q^{57} +(40.7767 + 10.9261i) q^{58} +(-64.0605 - 36.9854i) q^{59} +(23.1027 - 19.1381i) q^{60} +(-19.2793 + 11.1309i) q^{61} +(-20.1878 - 20.1878i) q^{62} +(-4.60585 + 62.8314i) q^{63} +8.00000i q^{64} +(-41.0802 - 36.0867i) q^{65} +(77.7932 - 29.7619i) q^{66} +(8.82719 - 2.36524i) q^{67} +(-24.5458 - 6.57703i) q^{68} +(29.4056 + 23.8668i) q^{69} +(-26.6958 - 41.6814i) q^{70} -4.20881i q^{71} +(1.38930 - 25.4179i) q^{72} +(22.9693 - 6.15460i) q^{73} +(-9.68684 + 16.7781i) q^{74} +(21.5012 - 71.8519i) q^{75} +1.22578i q^{76} +(-33.0971 - 133.380i) q^{77} +(-46.1482 + 4.79803i) q^{78} +(-67.0631 + 38.7189i) q^{79} +(11.0976 + 16.6386i) q^{80} +(-8.82826 + 80.5175i) q^{81} +(102.477 + 27.4587i) q^{82} +(-41.1330 + 41.1330i) q^{83} +(-41.3455 - 7.38581i) q^{84} +(-60.1747 + 20.3709i) q^{85} +(-81.0127 + 46.7727i) q^{86} +(36.5158 - 81.7688i) q^{87} +(14.3717 + 53.6359i) q^{88} +(1.42979 - 0.825490i) q^{89} +(-32.3702 - 54.7921i) q^{90} +(-1.42148 + 76.5379i) q^{91} +(-17.8532 + 17.8532i) q^{92} +(-49.0367 + 35.5433i) q^{93} +(-36.7950 + 63.7309i) q^{94} +(1.70040 + 2.54940i) q^{95} +(16.7586 + 2.67359i) q^{96} +(92.5224 - 92.5224i) q^{97} +(-20.4083 + 66.2231i) q^{98} +(-36.3478 - 172.910i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + O(q^{10}) \) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + 24q^{10} - 12q^{12} + 16q^{14} + 68q^{15} + 128q^{16} - 12q^{18} + 36q^{21} + 16q^{22} + 12q^{23} - 16q^{25} + 8q^{28} + 112q^{29} + 22q^{30} - 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} - 24q^{38} - 64q^{39} - 88q^{42} + 32q^{43} + 16q^{44} - 474q^{45} - 24q^{46} + 96q^{47} - 40q^{50} - 84q^{51} - 56q^{53} + 72q^{54} - 220q^{57} + 56q^{58} - 672q^{59} + 24q^{60} + 600q^{61} - 114q^{63} - 28q^{65} + 16q^{67} + 40q^{72} - 624q^{73} + 64q^{74} - 144q^{75} - 208q^{77} - 248q^{78} + 48q^{80} - 64q^{81} - 192q^{82} - 160q^{84} - 152q^{85} - 672q^{87} - 16q^{88} - 144q^{89} - 232q^{91} - 48q^{92} - 202q^{93} - 136q^{95} - 48q^{96} - 128q^{98} - 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36603 + 0.366025i 0.683013 + 0.183013i
\(3\) 1.22328 2.73927i 0.407761 0.913089i
\(4\) 1.73205 + 1.00000i 0.433013 + 0.250000i
\(5\) 4.98956 0.322873i 0.997913 0.0645746i
\(6\) 2.67368 3.29415i 0.445613 0.549026i
\(7\) −4.85698 5.04081i −0.693855 0.720115i
\(8\) 2.00000 + 2.00000i 0.250000 + 0.250000i
\(9\) −6.00715 6.70180i −0.667461 0.744645i
\(10\) 6.93405 + 1.38525i 0.693405 + 0.138525i
\(11\) 17.0019 + 9.81605i 1.54563 + 0.892369i 0.998468 + 0.0553407i \(0.0176245\pi\)
0.547160 + 0.837028i \(0.315709\pi\)
\(12\) 4.85806 3.52126i 0.404838 0.293439i
\(13\) −7.73283 7.73283i −0.594833 0.594833i 0.344100 0.938933i \(-0.388184\pi\)
−0.938933 + 0.344100i \(0.888184\pi\)
\(14\) −4.78970 8.66365i −0.342121 0.618832i
\(15\) 5.21922 14.0627i 0.347948 0.937514i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) −12.2729 + 3.28852i −0.721936 + 0.193442i −0.601035 0.799223i \(-0.705245\pi\)
−0.120901 + 0.992665i \(0.538578\pi\)
\(18\) −5.75289 11.3536i −0.319605 0.630756i
\(19\) 0.306444 + 0.530777i 0.0161286 + 0.0279356i 0.873977 0.485967i \(-0.161533\pi\)
−0.857848 + 0.513903i \(0.828199\pi\)
\(20\) 8.96505 + 4.43033i 0.448253 + 0.221517i
\(21\) −19.7496 + 7.13822i −0.940456 + 0.339915i
\(22\) 19.6321 + 19.6321i 0.892369 + 0.892369i
\(23\) −3.26736 + 12.1940i −0.142059 + 0.530172i 0.857810 + 0.513968i \(0.171825\pi\)
−0.999869 + 0.0162043i \(0.994842\pi\)
\(24\) 7.92510 3.03196i 0.330212 0.126332i
\(25\) 24.7915 3.22199i 0.991660 0.128880i
\(26\) −7.73283 13.3937i −0.297416 0.515140i
\(27\) −25.7065 + 8.25698i −0.952091 + 0.305814i
\(28\) −3.37173 13.5879i −0.120419 0.485283i
\(29\) 29.8506 1.02933 0.514666 0.857391i \(-0.327916\pi\)
0.514666 + 0.857391i \(0.327916\pi\)
\(30\) 12.2769 17.2996i 0.409230 0.576655i
\(31\) −17.4831 10.0939i −0.563972 0.325610i 0.190766 0.981636i \(-0.438903\pi\)
−0.754738 + 0.656026i \(0.772236\pi\)
\(32\) 1.46410 + 5.46410i 0.0457532 + 0.170753i
\(33\) 47.6869 34.5649i 1.44506 1.04742i
\(34\) −17.9688 −0.528494
\(35\) −25.8618 23.5832i −0.738908 0.673807i
\(36\) −3.70289 17.6150i −0.102858 0.489306i
\(37\) −3.54563 + 13.2325i −0.0958278 + 0.357634i −0.997144 0.0755282i \(-0.975936\pi\)
0.901316 + 0.433162i \(0.142602\pi\)
\(38\) 0.224333 + 0.837221i 0.00590349 + 0.0220321i
\(39\) −30.6417 + 11.7228i −0.785685 + 0.300585i
\(40\) 10.6249 + 9.33338i 0.265622 + 0.233335i
\(41\) 75.0186 1.82972 0.914861 0.403768i \(-0.132300\pi\)
0.914861 + 0.403768i \(0.132300\pi\)
\(42\) −29.5912 + 2.52215i −0.704552 + 0.0600512i
\(43\) −46.7727 + 46.7727i −1.08774 + 1.08774i −0.0919759 + 0.995761i \(0.529318\pi\)
−0.995761 + 0.0919759i \(0.970682\pi\)
\(44\) 19.6321 + 34.0038i 0.446184 + 0.772814i
\(45\) −32.1369 31.4995i −0.714153 0.699989i
\(46\) −8.92659 + 15.4613i −0.194056 + 0.336116i
\(47\) −13.4679 + 50.2630i −0.286552 + 1.06942i 0.661147 + 0.750257i \(0.270070\pi\)
−0.947698 + 0.319168i \(0.896597\pi\)
\(48\) 11.9357 1.24095i 0.248660 0.0258531i
\(49\) −1.81945 + 48.9662i −0.0371317 + 0.999310i
\(50\) 35.0452 + 4.67300i 0.700903 + 0.0934600i
\(51\) −6.00514 + 37.6415i −0.117748 + 0.738069i
\(52\) −5.66082 21.1265i −0.108862 0.406278i
\(53\) −64.3636 + 17.2462i −1.21441 + 0.325400i −0.808490 0.588510i \(-0.799715\pi\)
−0.405918 + 0.913909i \(0.633048\pi\)
\(54\) −38.1379 + 1.87002i −0.706258 + 0.0346300i
\(55\) 88.0014 + 43.4884i 1.60003 + 0.790698i
\(56\) 0.367649 19.7956i 0.00656516 0.353492i
\(57\) 1.82881 0.190141i 0.0320843 0.00333580i
\(58\) 40.7767 + 10.9261i 0.703047 + 0.188381i
\(59\) −64.0605 36.9854i −1.08577 0.626871i −0.153324 0.988176i \(-0.548998\pi\)
−0.932448 + 0.361305i \(0.882331\pi\)
\(60\) 23.1027 19.1381i 0.385044 0.318968i
\(61\) −19.2793 + 11.1309i −0.316055 + 0.182474i −0.649633 0.760248i \(-0.725077\pi\)
0.333578 + 0.942723i \(0.391744\pi\)
\(62\) −20.1878 20.1878i −0.325610 0.325610i
\(63\) −4.60585 + 62.8314i −0.0731088 + 0.997324i
\(64\) 8.00000i 0.125000i
\(65\) −41.0802 36.0867i −0.632003 0.555180i
\(66\) 77.7932 29.7619i 1.17869 0.450938i
\(67\) 8.82719 2.36524i 0.131749 0.0353021i −0.192342 0.981328i \(-0.561608\pi\)
0.324091 + 0.946026i \(0.394942\pi\)
\(68\) −24.5458 6.57703i −0.360968 0.0967210i
\(69\) 29.4056 + 23.8668i 0.426168 + 0.345896i
\(70\) −26.6958 41.6814i −0.381368 0.595448i
\(71\) 4.20881i 0.0592790i −0.999561 0.0296395i \(-0.990564\pi\)
0.999561 0.0296395i \(-0.00943592\pi\)
\(72\) 1.38930 25.4179i 0.0192958 0.353026i
\(73\) 22.9693 6.15460i 0.314648 0.0843096i −0.0980391 0.995183i \(-0.531257\pi\)
0.412687 + 0.910873i \(0.364590\pi\)
\(74\) −9.68684 + 16.7781i −0.130903 + 0.226731i
\(75\) 21.5012 71.8519i 0.286682 0.958026i
\(76\) 1.22578i 0.0161286i
\(77\) −33.0971 133.380i −0.429833 1.73220i
\(78\) −46.1482 + 4.79803i −0.591644 + 0.0615132i
\(79\) −67.0631 + 38.7189i −0.848900 + 0.490113i −0.860280 0.509822i \(-0.829711\pi\)
0.0113794 + 0.999935i \(0.496378\pi\)
\(80\) 11.0976 + 16.6386i 0.138720 + 0.207983i
\(81\) −8.82826 + 80.5175i −0.108991 + 0.994043i
\(82\) 102.477 + 27.4587i 1.24972 + 0.334863i
\(83\) −41.1330 + 41.1330i −0.495579 + 0.495579i −0.910059 0.414480i \(-0.863964\pi\)
0.414480 + 0.910059i \(0.363964\pi\)
\(84\) −41.3455 7.38581i −0.492208 0.0879263i
\(85\) −60.1747 + 20.3709i −0.707938 + 0.239657i
\(86\) −81.0127 + 46.7727i −0.942008 + 0.543869i
\(87\) 36.5158 81.7688i 0.419722 0.939871i
\(88\) 14.3717 + 53.6359i 0.163315 + 0.609499i
\(89\) 1.42979 0.825490i 0.0160651 0.00927517i −0.491946 0.870626i \(-0.663714\pi\)
0.508011 + 0.861351i \(0.330381\pi\)
\(90\) −32.3702 54.7921i −0.359669 0.608801i
\(91\) −1.42148 + 76.5379i −0.0156207 + 0.841076i
\(92\) −17.8532 + 17.8532i −0.194056 + 0.194056i
\(93\) −49.0367 + 35.5433i −0.527276 + 0.382186i
\(94\) −36.7950 + 63.7309i −0.391437 + 0.677988i
\(95\) 1.70040 + 2.54940i 0.0178989 + 0.0268358i
\(96\) 16.7586 + 2.67359i 0.174569 + 0.0278499i
\(97\) 92.5224 92.5224i 0.953839 0.953839i −0.0451414 0.998981i \(-0.514374\pi\)
0.998981 + 0.0451414i \(0.0143738\pi\)
\(98\) −20.4083 + 66.2231i −0.208248 + 0.675746i
\(99\) −36.3478 172.910i −0.367149 1.74656i
\(100\) 46.1621 + 19.2109i 0.461621 + 0.192109i
\(101\) 51.1520 88.5979i 0.506456 0.877207i −0.493516 0.869737i \(-0.664289\pi\)
0.999972 0.00747054i \(-0.00237797\pi\)
\(102\) −21.9809 + 49.2213i −0.215499 + 0.482561i
\(103\) 37.9157 141.503i 0.368114 1.37382i −0.495036 0.868872i \(-0.664845\pi\)
0.863150 0.504947i \(-0.168488\pi\)
\(104\) 30.9313i 0.297416i
\(105\) −96.2370 + 41.9932i −0.916543 + 0.399936i
\(106\) −94.2349 −0.889009
\(107\) 58.5462 + 15.6874i 0.547160 + 0.146611i 0.521801 0.853067i \(-0.325260\pi\)
0.0253594 + 0.999678i \(0.491927\pi\)
\(108\) −52.7819 11.4050i −0.488721 0.105602i
\(109\) 24.8552 + 14.3502i 0.228029 + 0.131653i 0.609663 0.792661i \(-0.291305\pi\)
−0.381633 + 0.924314i \(0.624638\pi\)
\(110\) 104.294 + 91.6170i 0.948130 + 0.832882i
\(111\) 31.9099 + 25.8995i 0.287477 + 0.233329i
\(112\) 7.74790 26.9067i 0.0691777 0.240238i
\(113\) −14.6106 14.6106i −0.129297 0.129297i 0.639497 0.768794i \(-0.279143\pi\)
−0.768794 + 0.639497i \(0.779143\pi\)
\(114\) 2.56779 + 0.409652i 0.0225245 + 0.00359344i
\(115\) −12.3656 + 61.8975i −0.107527 + 0.538239i
\(116\) 51.7028 + 29.8506i 0.445714 + 0.257333i
\(117\) −5.37160 + 98.2761i −0.0459111 + 0.839967i
\(118\) −73.9707 73.9707i −0.626871 0.626871i
\(119\) 76.1861 + 45.8931i 0.640219 + 0.385656i
\(120\) 38.5639 17.6870i 0.321365 0.147391i
\(121\) 132.210 + 228.994i 1.09264 + 1.89251i
\(122\) −30.4103 + 8.14841i −0.249265 + 0.0667902i
\(123\) 91.7691 205.496i 0.746090 1.67070i
\(124\) −20.1878 34.9663i −0.162805 0.281986i
\(125\) 122.659 24.0808i 0.981268 0.192647i
\(126\) −29.2896 + 84.1434i −0.232457 + 0.667805i
\(127\) −8.36779 8.36779i −0.0658881 0.0658881i 0.673395 0.739283i \(-0.264835\pi\)
−0.739283 + 0.673395i \(0.764835\pi\)
\(128\) −2.92820 + 10.9282i −0.0228766 + 0.0853766i
\(129\) 70.9065 + 185.339i 0.549663 + 1.43674i
\(130\) −42.9079 64.3318i −0.330061 0.494860i
\(131\) 84.5571 + 146.457i 0.645474 + 1.11799i 0.984192 + 0.177105i \(0.0566733\pi\)
−0.338718 + 0.940888i \(0.609993\pi\)
\(132\) 117.161 12.1812i 0.887584 0.0922821i
\(133\) 1.18715 4.12270i 0.00892593 0.0309977i
\(134\) 12.9239 0.0964471
\(135\) −125.598 + 49.4986i −0.930356 + 0.366657i
\(136\) −31.1228 17.9688i −0.228844 0.132123i
\(137\) −64.7708 241.728i −0.472780 1.76444i −0.629713 0.776828i \(-0.716827\pi\)
0.156933 0.987609i \(-0.449839\pi\)
\(138\) 31.4329 + 43.3659i 0.227775 + 0.314246i
\(139\) −229.593 −1.65175 −0.825875 0.563853i \(-0.809318\pi\)
−0.825875 + 0.563853i \(0.809318\pi\)
\(140\) −21.2107 66.7091i −0.151505 0.476494i
\(141\) 121.209 + 98.3781i 0.859635 + 0.697717i
\(142\) 1.54053 5.74934i 0.0108488 0.0404883i
\(143\) −55.5670 207.379i −0.388580 1.45020i
\(144\) 11.2014 34.2130i 0.0777876 0.237590i
\(145\) 148.942 9.63796i 1.02718 0.0664687i
\(146\) 33.6294 0.230338
\(147\) 131.906 + 64.8836i 0.897318 + 0.441385i
\(148\) −19.3737 + 19.3737i −0.130903 + 0.130903i
\(149\) −42.3960 73.4319i −0.284537 0.492832i 0.687960 0.725749i \(-0.258506\pi\)
−0.972497 + 0.232917i \(0.925173\pi\)
\(150\) 55.6708 90.2816i 0.371138 0.601877i
\(151\) 139.651 241.882i 0.924838 1.60187i 0.133017 0.991114i \(-0.457533\pi\)
0.791821 0.610753i \(-0.209133\pi\)
\(152\) −0.448665 + 1.67444i −0.00295174 + 0.0110161i
\(153\) 95.7642 + 62.4960i 0.625910 + 0.408470i
\(154\) 3.60886 194.314i 0.0234342 1.26178i
\(155\) −90.4923 44.7193i −0.583821 0.288512i
\(156\) −64.7958 10.3372i −0.415358 0.0662641i
\(157\) −66.9415 249.829i −0.426379 1.59127i −0.760894 0.648877i \(-0.775239\pi\)
0.334515 0.942390i \(-0.391428\pi\)
\(158\) −105.782 + 28.3442i −0.669507 + 0.179394i
\(159\) −31.4931 + 197.406i −0.198070 + 1.24155i
\(160\) 9.06944 + 26.7908i 0.0566840 + 0.167442i
\(161\) 77.3369 42.7557i 0.480353 0.265563i
\(162\) −41.5311 + 106.758i −0.256365 + 0.658997i
\(163\) 18.3932 + 4.92845i 0.112842 + 0.0302359i 0.314798 0.949159i \(-0.398063\pi\)
−0.201956 + 0.979395i \(0.564730\pi\)
\(164\) 129.936 + 75.0186i 0.792293 + 0.457431i
\(165\) 226.777 187.861i 1.37441 1.13855i
\(166\) −71.2445 + 41.1330i −0.429184 + 0.247789i
\(167\) 72.3691 + 72.3691i 0.433348 + 0.433348i 0.889766 0.456418i \(-0.150868\pi\)
−0.456418 + 0.889766i \(0.650868\pi\)
\(168\) −53.7756 25.2227i −0.320093 0.150135i
\(169\) 49.4067i 0.292348i
\(170\) −89.6564 + 5.80164i −0.527391 + 0.0341273i
\(171\) 1.71630 5.24218i 0.0100369 0.0306560i
\(172\) −127.785 + 34.2400i −0.742938 + 0.199070i
\(173\) 160.959 + 43.1289i 0.930401 + 0.249300i 0.692026 0.721873i \(-0.256718\pi\)
0.238375 + 0.971173i \(0.423385\pi\)
\(174\) 79.8109 98.3325i 0.458684 0.565129i
\(175\) −136.653 109.320i −0.780876 0.624686i
\(176\) 78.5284i 0.446184i
\(177\) −179.677 + 130.235i −1.01512 + 0.735792i
\(178\) 2.25528 0.604300i 0.0126701 0.00339495i
\(179\) −35.9900 + 62.3366i −0.201062 + 0.348249i −0.948871 0.315665i \(-0.897772\pi\)
0.747809 + 0.663914i \(0.231106\pi\)
\(180\) −24.1632 86.6957i −0.134240 0.481643i
\(181\) 134.777i 0.744624i −0.928108 0.372312i \(-0.878565\pi\)
0.928108 0.372312i \(-0.121435\pi\)
\(182\) −29.9566 + 104.032i −0.164597 + 0.571607i
\(183\) 6.90647 + 66.4275i 0.0377403 + 0.362992i
\(184\) −30.9226 + 17.8532i −0.168058 + 0.0970282i
\(185\) −13.4187 + 67.1690i −0.0725337 + 0.363076i
\(186\) −79.9951 + 30.6043i −0.430081 + 0.164539i
\(187\) −240.943 64.5605i −1.28847 0.345243i
\(188\) −73.5901 + 73.5901i −0.391437 + 0.391437i
\(189\) 166.478 + 89.4773i 0.880834 + 0.473425i
\(190\) 1.38964 + 4.10493i 0.00731388 + 0.0216049i
\(191\) −161.123 + 93.0244i −0.843575 + 0.487038i −0.858478 0.512850i \(-0.828590\pi\)
0.0149025 + 0.999889i \(0.495256\pi\)
\(192\) 21.9141 + 9.78627i 0.114136 + 0.0509702i
\(193\) 34.2952 + 127.992i 0.177696 + 0.663169i 0.996077 + 0.0884931i \(0.0282051\pi\)
−0.818381 + 0.574676i \(0.805128\pi\)
\(194\) 160.253 92.5224i 0.826049 0.476920i
\(195\) −149.104 + 68.3852i −0.764635 + 0.350693i
\(196\) −52.1176 + 82.9925i −0.265906 + 0.423431i
\(197\) 193.225 193.225i 0.980838 0.980838i −0.0189815 0.999820i \(-0.506042\pi\)
0.999820 + 0.0189815i \(0.00604235\pi\)
\(198\) 13.6374 249.504i 0.0688759 1.26012i
\(199\) 65.1380 112.822i 0.327326 0.566946i −0.654654 0.755929i \(-0.727186\pi\)
0.981980 + 0.188983i \(0.0605190\pi\)
\(200\) 56.0270 + 43.1390i 0.280135 + 0.215695i
\(201\) 4.31915 27.0734i 0.0214883 0.134693i
\(202\) 102.304 102.304i 0.506456 0.506456i
\(203\) −144.984 150.471i −0.714206 0.741237i
\(204\) −48.0427 + 59.1919i −0.235504 + 0.290156i
\(205\) 374.310 24.2215i 1.82590 0.118154i
\(206\) 103.588 179.419i 0.502853 0.870967i
\(207\) 101.349 51.3537i 0.489609 0.248086i
\(208\) 11.3216 42.2530i 0.0544310 0.203139i
\(209\) 12.0323i 0.0575707i
\(210\) −146.833 + 22.1386i −0.699204 + 0.105422i
\(211\) 134.658 0.638191 0.319095 0.947723i \(-0.396621\pi\)
0.319095 + 0.947723i \(0.396621\pi\)
\(212\) −128.727 34.4924i −0.607204 0.162700i
\(213\) −11.5290 5.14857i −0.0541270 0.0241717i
\(214\) 74.2336 + 42.8588i 0.346886 + 0.200275i
\(215\) −218.274 + 248.477i −1.01523 + 1.15571i
\(216\) −67.9269 34.8990i −0.314476 0.161569i
\(217\) 34.0339 + 137.155i 0.156838 + 0.632051i
\(218\) 28.7003 + 28.7003i 0.131653 + 0.131653i
\(219\) 11.2389 70.4478i 0.0513191 0.321679i
\(220\) 108.935 + 163.326i 0.495157 + 0.742389i
\(221\) 120.334 + 69.4748i 0.544497 + 0.314365i
\(222\) 34.1099 + 47.0592i 0.153648 + 0.211978i
\(223\) −247.996 247.996i −1.11209 1.11209i −0.992867 0.119223i \(-0.961960\pi\)
−0.119223 0.992867i \(-0.538040\pi\)
\(224\) 20.4324 33.9193i 0.0912159 0.151425i
\(225\) −170.519 146.793i −0.757864 0.652412i
\(226\) −14.6106 25.3063i −0.0646486 0.111975i
\(227\) 71.7681 19.2302i 0.316159 0.0847146i −0.0972500 0.995260i \(-0.531005\pi\)
0.413409 + 0.910545i \(0.364338\pi\)
\(228\) 3.35773 + 1.49947i 0.0147269 + 0.00657663i
\(229\) 34.0586 + 58.9912i 0.148727 + 0.257603i 0.930757 0.365637i \(-0.119149\pi\)
−0.782030 + 0.623241i \(0.785816\pi\)
\(230\) −39.5478 + 80.0274i −0.171947 + 0.347945i
\(231\) −405.850 72.4995i −1.75692 0.313851i
\(232\) 59.7012 + 59.7012i 0.257333 + 0.257333i
\(233\) −67.0823 + 250.355i −0.287907 + 1.07448i 0.658782 + 0.752334i \(0.271072\pi\)
−0.946689 + 0.322150i \(0.895595\pi\)
\(234\) −43.3093 + 132.282i −0.185083 + 0.565306i
\(235\) −50.9705 + 255.139i −0.216896 + 1.08570i
\(236\) −73.9707 128.121i −0.313435 0.542886i
\(237\) 24.0241 + 231.068i 0.101368 + 0.974970i
\(238\) 87.2741 + 90.5772i 0.366698 + 0.380576i
\(239\) −33.1697 −0.138785 −0.0693927 0.997589i \(-0.522106\pi\)
−0.0693927 + 0.997589i \(0.522106\pi\)
\(240\) 59.1531 10.0455i 0.246471 0.0418563i
\(241\) −246.276 142.188i −1.02189 0.589990i −0.107242 0.994233i \(-0.534202\pi\)
−0.914652 + 0.404243i \(0.867535\pi\)
\(242\) 96.7843 + 361.204i 0.399935 + 1.49258i
\(243\) 209.759 + 122.679i 0.863207 + 0.504851i
\(244\) −44.5237 −0.182474
\(245\) 6.73158 + 244.908i 0.0274759 + 0.999622i
\(246\) 200.576 247.123i 0.815348 1.00456i
\(247\) 1.73473 6.47408i 0.00702318 0.0262109i
\(248\) −14.7785 55.1541i −0.0595907 0.222395i
\(249\) 62.3569 + 162.992i 0.250429 + 0.654585i
\(250\) 176.369 + 12.0011i 0.705475 + 0.0480043i
\(251\) −134.588 −0.536205 −0.268103 0.963390i \(-0.586397\pi\)
−0.268103 + 0.963390i \(0.586397\pi\)
\(252\) −70.8090 + 104.221i −0.280988 + 0.413577i
\(253\) −175.248 + 175.248i −0.692679 + 0.692679i
\(254\) −8.36779 14.4934i −0.0329441 0.0570608i
\(255\) −17.8096 + 189.754i −0.0698415 + 0.744133i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) 32.7685 122.294i 0.127504 0.475852i −0.872412 0.488770i \(-0.837446\pi\)
0.999917 + 0.0129187i \(0.00411225\pi\)
\(258\) 29.0213 + 279.132i 0.112486 + 1.08191i
\(259\) 83.9234 46.3970i 0.324028 0.179139i
\(260\) −35.0662 103.584i −0.134870 0.398401i
\(261\) −179.317 200.053i −0.687039 0.766486i
\(262\) 61.9001 + 231.014i 0.236260 + 0.881733i
\(263\) −77.5522 + 20.7801i −0.294875 + 0.0790116i −0.403224 0.915101i \(-0.632110\pi\)
0.108348 + 0.994113i \(0.465444\pi\)
\(264\) 164.504 + 26.2441i 0.623120 + 0.0994094i
\(265\) −315.578 + 106.832i −1.19086 + 0.403141i
\(266\) 3.13069 5.19718i 0.0117695 0.0195383i
\(267\) −0.512196 4.92638i −0.00191834 0.0184509i
\(268\) 17.6544 + 4.73048i 0.0658746 + 0.0176510i
\(269\) −160.113 92.4410i −0.595214 0.343647i 0.171943 0.985107i \(-0.444996\pi\)
−0.767156 + 0.641460i \(0.778329\pi\)
\(270\) −189.688 + 21.6443i −0.702548 + 0.0801641i
\(271\) −166.881 + 96.3488i −0.615797 + 0.355531i −0.775231 0.631678i \(-0.782367\pi\)
0.159434 + 0.987209i \(0.449033\pi\)
\(272\) −35.9376 35.9376i −0.132123 0.132123i
\(273\) 207.919 + 97.5214i 0.761607 + 0.357221i
\(274\) 353.914i 1.29166i
\(275\) 453.130 + 188.575i 1.64775 + 0.685726i
\(276\) 27.0651 + 70.7442i 0.0980620 + 0.256319i
\(277\) −422.843 + 113.301i −1.52651 + 0.409027i −0.921879 0.387478i \(-0.873346\pi\)
−0.604631 + 0.796505i \(0.706680\pi\)
\(278\) −313.630 84.0370i −1.12817 0.302291i
\(279\) 37.3766 + 177.804i 0.133966 + 0.637291i
\(280\) −4.55705 98.8900i −0.0162752 0.353179i
\(281\) 221.523i 0.788340i 0.919038 + 0.394170i \(0.128968\pi\)
−0.919038 + 0.394170i \(0.871032\pi\)
\(282\) 129.565 + 178.752i 0.459451 + 0.633874i
\(283\) 383.117 102.656i 1.35377 0.362741i 0.492245 0.870457i \(-0.336177\pi\)
0.861525 + 0.507715i \(0.169510\pi\)
\(284\) 4.20881 7.28987i 0.0148197 0.0256685i
\(285\) 9.06355 1.53919i 0.0318019 0.00540067i
\(286\) 303.623i 1.06162i
\(287\) −364.364 378.154i −1.26956 1.31761i
\(288\) 27.8242 42.6358i 0.0966119 0.148041i
\(289\) −110.471 + 63.7807i −0.382254 + 0.220694i
\(290\) 206.986 + 41.3507i 0.713744 + 0.142589i
\(291\) −140.262 366.625i −0.482001 1.25988i
\(292\) 45.9386 + 12.3092i 0.157324 + 0.0421548i
\(293\) −156.018 + 156.018i −0.532484 + 0.532484i −0.921311 0.388827i \(-0.872880\pi\)
0.388827 + 0.921311i \(0.372880\pi\)
\(294\) 156.438 + 136.913i 0.532101 + 0.465692i
\(295\) −331.576 163.857i −1.12399 0.555449i
\(296\) −33.5562 + 19.3737i −0.113366 + 0.0654516i
\(297\) −518.110 111.952i −1.74448 0.376942i
\(298\) −31.0360 115.828i −0.104148 0.388684i
\(299\) 119.560 69.0278i 0.399865 0.230862i
\(300\) 109.093 102.950i 0.363643 0.343167i
\(301\) 462.946 + 8.59796i 1.53803 + 0.0285647i
\(302\) 279.301 279.301i 0.924838 0.924838i
\(303\) −180.120 248.499i −0.594455 0.820130i
\(304\) −1.22578 + 2.12311i −0.00403216 + 0.00698390i
\(305\) −92.6016 + 61.7633i −0.303612 + 0.202503i
\(306\) 107.941 + 120.423i 0.352749 + 0.393540i
\(307\) −47.9690 + 47.9690i −0.156251 + 0.156251i −0.780903 0.624652i \(-0.785241\pi\)
0.624652 + 0.780903i \(0.285241\pi\)
\(308\) 76.0538 264.118i 0.246928 0.857525i
\(309\) −341.234 276.960i −1.10432 0.896311i
\(310\) −107.246 94.2102i −0.345956 0.303904i
\(311\) −217.116 + 376.057i −0.698124 + 1.20919i 0.270993 + 0.962581i \(0.412648\pi\)
−0.969116 + 0.246604i \(0.920685\pi\)
\(312\) −84.7291 37.8378i −0.271568 0.121275i
\(313\) −65.8692 + 245.827i −0.210445 + 0.785390i 0.777276 + 0.629160i \(0.216601\pi\)
−0.987721 + 0.156230i \(0.950066\pi\)
\(314\) 365.775i 1.16489i
\(315\) −2.69463 + 314.988i −0.00855439 + 0.999963i
\(316\) −154.876 −0.490113
\(317\) 121.640 + 32.5934i 0.383723 + 0.102818i 0.445523 0.895270i \(-0.353018\pi\)
−0.0618007 + 0.998089i \(0.519684\pi\)
\(318\) −115.276 + 258.134i −0.362503 + 0.811744i
\(319\) 507.517 + 293.015i 1.59096 + 0.918543i
\(320\) 2.58298 + 39.9165i 0.00807183 + 0.124739i
\(321\) 114.591 141.183i 0.356980 0.439824i
\(322\) 121.294 30.0981i 0.376689 0.0934723i
\(323\) −5.50643 5.50643i −0.0170478 0.0170478i
\(324\) −95.8085 + 130.632i −0.295705 + 0.403185i
\(325\) −216.624 166.793i −0.666534 0.513210i
\(326\) 23.3217 + 13.4648i 0.0715389 + 0.0413030i
\(327\) 69.7138 50.5307i 0.213192 0.154528i
\(328\) 150.037 + 150.037i 0.457431 + 0.457431i
\(329\) 318.779 176.237i 0.968934 0.535675i
\(330\) 378.545 173.616i 1.14711 0.526110i
\(331\) −147.637 255.715i −0.446034 0.772554i 0.552089 0.833785i \(-0.313831\pi\)
−0.998124 + 0.0612308i \(0.980497\pi\)
\(332\) −112.378 + 30.1115i −0.338487 + 0.0906972i
\(333\) 109.980 55.7273i 0.330272 0.167349i
\(334\) 72.3691 + 125.347i 0.216674 + 0.375290i
\(335\) 43.2802 14.6516i 0.129195 0.0437360i
\(336\) −64.2267 54.1381i −0.191151 0.161125i
\(337\) 348.075 + 348.075i 1.03286 + 1.03286i 0.999441 + 0.0334221i \(0.0106406\pi\)
0.0334221 + 0.999441i \(0.489359\pi\)
\(338\) 18.0841 67.4908i 0.0535033 0.199677i
\(339\) −57.8951 + 22.1494i −0.170782 + 0.0653374i
\(340\) −124.596 24.8913i −0.366460 0.0732098i
\(341\) −198.164 343.231i −0.581127 1.00654i
\(342\) 4.26329 6.53274i 0.0124657 0.0191016i
\(343\) 255.666 228.656i 0.745383 0.666637i
\(344\) −187.091 −0.543869
\(345\) 154.427 + 109.591i 0.447614 + 0.317655i
\(346\) 204.088 + 117.830i 0.589851 + 0.340550i
\(347\) 148.840 + 555.480i 0.428935 + 1.60081i 0.755177 + 0.655521i \(0.227551\pi\)
−0.326242 + 0.945286i \(0.605783\pi\)
\(348\) 145.016 105.112i 0.416713 0.302046i
\(349\) −106.667 −0.305637 −0.152818 0.988254i \(-0.548835\pi\)
−0.152818 + 0.988254i \(0.548835\pi\)
\(350\) −146.658 199.353i −0.419023 0.569579i
\(351\) 262.633 + 134.934i 0.748243 + 0.384427i
\(352\) −28.7434 + 107.272i −0.0816574 + 0.304750i
\(353\) −6.93139 25.8683i −0.0196357 0.0732813i 0.955413 0.295273i \(-0.0954107\pi\)
−0.975048 + 0.221992i \(0.928744\pi\)
\(354\) −293.113 + 112.138i −0.828002 + 0.316775i
\(355\) −1.35891 21.0001i −0.00382792 0.0591553i
\(356\) 3.30196 0.00927517
\(357\) 218.911 152.554i 0.613195 0.427321i
\(358\) −71.9801 + 71.9801i −0.201062 + 0.201062i
\(359\) −182.112 315.427i −0.507275 0.878625i −0.999965 0.00842047i \(-0.997320\pi\)
0.492690 0.870205i \(-0.336014\pi\)
\(360\) −1.27476 127.273i −0.00354101 0.353536i
\(361\) 180.312 312.310i 0.499480 0.865124i
\(362\) 49.3318 184.109i 0.136276 0.508588i
\(363\) 789.006 82.0329i 2.17357 0.225986i
\(364\) −79.0000 + 131.146i −0.217033 + 0.360291i
\(365\) 112.620 38.1249i 0.308547 0.104452i
\(366\) −14.8798 + 93.2696i −0.0406551 + 0.254835i
\(367\) −56.7738 211.883i −0.154697 0.577337i −0.999131 0.0416774i \(-0.986730\pi\)
0.844434 0.535659i \(-0.179937\pi\)
\(368\) −48.7758 + 13.0694i −0.132543 + 0.0355148i
\(369\) −450.648 502.760i −1.22127 1.36249i
\(370\) −42.9159 + 86.8430i −0.115989 + 0.234711i
\(371\) 399.548 + 240.680i 1.07695 + 0.648734i
\(372\) −120.477 + 12.5260i −0.323864 + 0.0336721i
\(373\) 372.463 + 99.8013i 0.998561 + 0.267564i 0.720843 0.693099i \(-0.243755\pi\)
0.277719 + 0.960662i \(0.410422\pi\)
\(374\) −305.504 176.383i −0.816854 0.471611i
\(375\) 84.0824 365.452i 0.224220 0.974539i
\(376\) −127.462 + 73.5901i −0.338994 + 0.195718i
\(377\) −230.830 230.830i −0.612280 0.612280i
\(378\) 194.662 + 183.163i 0.514978 + 0.484559i
\(379\) 381.328i 1.00614i 0.864245 + 0.503071i \(0.167797\pi\)
−0.864245 + 0.503071i \(0.832203\pi\)
\(380\) 0.395770 + 6.11609i 0.00104150 + 0.0160950i
\(381\) −33.1578 + 12.6854i −0.0870283 + 0.0332951i
\(382\) −254.147 + 68.0986i −0.665307 + 0.178268i
\(383\) 595.841 + 159.655i 1.55572 + 0.416854i 0.931305 0.364240i \(-0.118671\pi\)
0.624414 + 0.781093i \(0.285338\pi\)
\(384\) 26.3532 + 21.3894i 0.0686282 + 0.0557016i
\(385\) −208.205 654.820i −0.540792 1.70083i
\(386\) 187.393i 0.485473i
\(387\) 594.432 + 32.4906i 1.53600 + 0.0839551i
\(388\) 252.776 67.7311i 0.651484 0.174565i
\(389\) 362.523 627.909i 0.931937 1.61416i 0.151929 0.988391i \(-0.451451\pi\)
0.780008 0.625770i \(-0.215215\pi\)
\(390\) −228.710 + 38.8401i −0.586437 + 0.0995900i
\(391\) 160.400i 0.410230i
\(392\) −101.571 + 94.2935i −0.259111 + 0.240545i
\(393\) 504.622 52.4655i 1.28403 0.133500i
\(394\) 334.676 193.225i 0.849431 0.490419i
\(395\) −322.114 + 214.843i −0.815480 + 0.543907i
\(396\) 109.954 335.837i 0.277661 0.848072i
\(397\) 79.9252 + 21.4159i 0.201323 + 0.0539443i 0.358071 0.933694i \(-0.383434\pi\)
−0.156748 + 0.987639i \(0.550101\pi\)
\(398\) 130.276 130.276i 0.327326 0.327326i
\(399\) −9.84094 8.29515i −0.0246640 0.0207898i
\(400\) 60.7443 + 79.4363i 0.151861 + 0.198591i
\(401\) 471.040 271.955i 1.17466 0.678193i 0.219890 0.975525i \(-0.429430\pi\)
0.954774 + 0.297332i \(0.0960967\pi\)
\(402\) 15.8096 35.4020i 0.0393274 0.0880647i
\(403\) 57.1398 + 213.248i 0.141786 + 0.529153i
\(404\) 177.196 102.304i 0.438604 0.253228i
\(405\) −18.0523 + 404.597i −0.0445735 + 0.999006i
\(406\) −142.975 258.615i −0.352156 0.636983i
\(407\) −190.173 + 190.173i −0.467256 + 0.467256i
\(408\) −87.2934 + 63.2728i −0.213954 + 0.155080i
\(409\) −186.164 + 322.446i −0.455170 + 0.788377i −0.998698 0.0510136i \(-0.983755\pi\)
0.543528 + 0.839391i \(0.317088\pi\)
\(410\) 520.183 + 103.920i 1.26874 + 0.253463i
\(411\) −741.390 118.278i −1.80387 0.287780i
\(412\) 207.175 207.175i 0.502853 0.502853i
\(413\) 124.705 + 502.554i 0.301949 + 1.21684i
\(414\) 157.242 33.0542i 0.379812 0.0798411i
\(415\) −191.955 + 218.517i −0.462543 + 0.526546i
\(416\) 30.9313 53.5746i 0.0743541 0.128785i
\(417\) −280.858 + 628.917i −0.673520 + 1.50819i
\(418\) −4.40412 + 16.4364i −0.0105362 + 0.0393215i
\(419\) 289.110i 0.690000i 0.938603 + 0.345000i \(0.112121\pi\)
−0.938603 + 0.345000i \(0.887879\pi\)
\(420\) −208.681 23.5026i −0.496859 0.0559586i
\(421\) −680.094 −1.61543 −0.807713 0.589576i \(-0.799295\pi\)
−0.807713 + 0.589576i \(0.799295\pi\)
\(422\) 183.947 + 49.2883i 0.435892 + 0.116797i
\(423\) 417.756 211.678i 0.987603 0.500421i
\(424\) −163.220 94.2349i −0.384952 0.222252i
\(425\) −293.668 + 121.070i −0.690984 + 0.284872i
\(426\) −13.8645 11.2530i −0.0325457 0.0264155i
\(427\) 149.748 + 43.1207i 0.350699 + 0.100985i
\(428\) 85.7175 + 85.7175i 0.200275 + 0.200275i
\(429\) −636.039 101.470i −1.48261 0.236528i
\(430\) −389.116 + 259.532i −0.904922 + 0.603563i
\(431\) −432.391 249.641i −1.00323 0.579214i −0.0940260 0.995570i \(-0.529974\pi\)
−0.909202 + 0.416356i \(0.863307\pi\)
\(432\) −80.0159 72.5359i −0.185222 0.167907i
\(433\) −62.7615 62.7615i −0.144946 0.144946i 0.630910 0.775856i \(-0.282682\pi\)
−0.775856 + 0.630910i \(0.782682\pi\)
\(434\) −3.71101 + 199.814i −0.00855071 + 0.460402i
\(435\) 155.797 419.781i 0.358154 0.965013i
\(436\) 28.7003 + 49.7104i 0.0658264 + 0.114015i
\(437\) −7.47353 + 2.00253i −0.0171019 + 0.00458244i
\(438\) 41.1383 92.1198i 0.0939230 0.210319i
\(439\) 6.32464 + 10.9546i 0.0144069 + 0.0249535i 0.873139 0.487471i \(-0.162081\pi\)
−0.858732 + 0.512425i \(0.828747\pi\)
\(440\) 89.0261 + 262.980i 0.202332 + 0.597681i
\(441\) 339.092 281.954i 0.768915 0.639351i
\(442\) 138.950 + 138.950i 0.314365 + 0.314365i
\(443\) 21.4772 80.1541i 0.0484813 0.180935i −0.937439 0.348149i \(-0.886810\pi\)
0.985921 + 0.167214i \(0.0534771\pi\)
\(444\) 29.3701 + 76.7692i 0.0661489 + 0.172903i
\(445\) 6.86750 4.58047i 0.0154326 0.0102932i
\(446\) −247.996 429.542i −0.556045 0.963099i
\(447\) −253.012 + 26.3056i −0.566022 + 0.0588493i
\(448\) 40.3264 38.8559i 0.0900144 0.0867318i
\(449\) 554.557 1.23509 0.617547 0.786534i \(-0.288126\pi\)
0.617547 + 0.786534i \(0.288126\pi\)
\(450\) −179.204 262.937i −0.398231 0.584305i
\(451\) 1275.46 + 736.387i 2.82807 + 1.63279i
\(452\) −10.6957 39.9168i −0.0236630 0.0883116i
\(453\) −491.746 678.430i −1.08553 1.49764i
\(454\) 105.076 0.231445
\(455\) 17.6194 + 382.350i 0.0387241 + 0.840329i
\(456\) 4.03789 + 3.27733i 0.00885503 + 0.00718713i
\(457\) 130.979 488.822i 0.286607 1.06963i −0.661050 0.750342i \(-0.729889\pi\)
0.947657 0.319290i \(-0.103445\pi\)
\(458\) 24.9326 + 93.0497i 0.0544380 + 0.203165i
\(459\) 288.340 185.873i 0.628191 0.404953i
\(460\) −83.3153 + 94.8440i −0.181120 + 0.206183i
\(461\) −364.645 −0.790987 −0.395494 0.918469i \(-0.629427\pi\)
−0.395494 + 0.918469i \(0.629427\pi\)
\(462\) −527.864 247.587i −1.14256 0.535904i
\(463\) −568.862 + 568.862i −1.22864 + 1.22864i −0.264166 + 0.964477i \(0.585097\pi\)
−0.964477 + 0.264166i \(0.914903\pi\)
\(464\) 59.7012 + 103.406i 0.128666 + 0.222857i
\(465\) −233.196 + 193.178i −0.501496 + 0.415437i
\(466\) −183.272 + 317.437i −0.393288 + 0.681195i
\(467\) 14.8228 55.3194i 0.0317405 0.118457i −0.948238 0.317561i \(-0.897136\pi\)
0.979978 + 0.199104i \(0.0638030\pi\)
\(468\) −107.580 + 164.848i −0.229872 + 0.352239i
\(469\) −54.7962 33.0082i −0.116836 0.0703800i
\(470\) −163.014 + 329.870i −0.346839 + 0.701850i
\(471\) −766.236 122.241i −1.62683 0.259536i
\(472\) −54.1503 202.092i −0.114725 0.428161i
\(473\) −1254.35 + 336.102i −2.65190 + 0.710574i
\(474\) −51.7592 + 324.438i −0.109197 + 0.684469i
\(475\) 9.30737 + 12.1714i 0.0195945 + 0.0256240i
\(476\) 86.0650 + 155.675i 0.180809 + 0.327049i
\(477\) 502.223 + 327.752i 1.05288 + 0.687111i
\(478\) −45.3107 12.1410i −0.0947922 0.0253995i
\(479\) 129.731 + 74.9002i 0.270837 + 0.156368i 0.629268 0.777188i \(-0.283355\pi\)
−0.358431 + 0.933556i \(0.616688\pi\)
\(480\) 84.4815 + 7.92912i 0.176003 + 0.0165190i
\(481\) 129.742 74.9067i 0.269734 0.155731i
\(482\) −284.375 284.375i −0.589990 0.589990i
\(483\) −22.5142 264.149i −0.0466133 0.546892i
\(484\) 528.839i 1.09264i
\(485\) 431.773 491.519i 0.890255 1.01344i
\(486\) 241.633 + 244.359i 0.497187 + 0.502797i
\(487\) 105.168 28.1798i 0.215952 0.0578641i −0.149221 0.988804i \(-0.547677\pi\)
0.365173 + 0.930940i \(0.381010\pi\)
\(488\) −60.8205 16.2968i −0.124632 0.0333951i
\(489\) 36.0005 44.3550i 0.0736206 0.0907056i
\(490\) −80.4469 + 337.014i −0.164177 + 0.687783i
\(491\) 156.181i 0.318087i 0.987272 + 0.159043i \(0.0508410\pi\)
−0.987272 + 0.159043i \(0.949159\pi\)
\(492\) 364.445 264.160i 0.740741 0.536911i
\(493\) −366.354 + 98.1642i −0.743111 + 0.199116i
\(494\) 4.73936 8.20881i 0.00959384 0.0166170i
\(495\) −237.188 851.009i −0.479167 1.71921i
\(496\) 80.7512i 0.162805i
\(497\) −21.2158 + 20.4421i −0.0426877 + 0.0411310i
\(498\) 25.5220 + 245.475i 0.0512491 + 0.492922i
\(499\) 601.874 347.492i 1.20616 0.696377i 0.244242 0.969714i \(-0.421461\pi\)
0.961918 + 0.273337i \(0.0881274\pi\)
\(500\) 236.532 + 80.9493i 0.473063 + 0.161899i
\(501\) 286.766 109.710i 0.572387 0.218982i
\(502\) −183.850 49.2625i −0.366235 0.0981324i
\(503\) 159.128 159.128i 0.316358 0.316358i −0.531009 0.847366i \(-0.678187\pi\)
0.847366 + 0.531009i \(0.178187\pi\)
\(504\) −134.875 + 116.451i −0.267608 + 0.231054i
\(505\) 226.620 458.581i 0.448753 0.908080i
\(506\) −303.538 + 175.248i −0.599878 + 0.346340i
\(507\) −135.338 60.4385i −0.266939 0.119208i
\(508\) −6.12565 22.8612i −0.0120584 0.0450024i
\(509\) −303.860 + 175.434i −0.596974 + 0.344663i −0.767850 0.640629i \(-0.778674\pi\)
0.170876 + 0.985293i \(0.445340\pi\)
\(510\) −93.7830 + 252.690i −0.183888 + 0.495470i
\(511\) −142.586 85.8909i −0.279032 0.168084i
\(512\) −16.0000 + 16.0000i −0.0312500 + 0.0312500i
\(513\) −12.2602 11.1141i −0.0238990 0.0216649i
\(514\) 89.5253 155.062i 0.174174 0.301678i
\(515\) 143.495 718.282i 0.278632 1.39472i
\(516\) −62.5254 + 391.923i −0.121173 + 0.759541i
\(517\) −722.364 + 722.364i −1.39722 + 1.39722i
\(518\) 131.624 32.6614i 0.254100 0.0630530i
\(519\) 315.041 388.152i 0.607015 0.747884i
\(520\) −9.98689 154.334i −0.0192056 0.296796i
\(521\) 27.9815 48.4653i 0.0537072 0.0930237i −0.837922 0.545790i \(-0.816230\pi\)
0.891629 + 0.452767i \(0.149563\pi\)
\(522\) −171.727 338.912i −0.328980 0.649257i
\(523\) −226.661 + 845.912i −0.433387 + 1.61742i 0.311510 + 0.950243i \(0.399165\pi\)
−0.744897 + 0.667180i \(0.767501\pi\)
\(524\) 338.228i 0.645474i
\(525\) −466.622 + 240.600i −0.888805 + 0.458286i
\(526\) −113.544 −0.215864
\(527\) 247.763 + 66.3879i 0.470138 + 0.125973i
\(528\) 215.110 + 96.0626i 0.407406 + 0.181937i
\(529\) 320.111 + 184.816i 0.605124 + 0.349368i
\(530\) −470.191 + 30.4259i −0.887153 + 0.0574074i
\(531\) 136.953 + 651.498i 0.257915 + 1.22693i
\(532\) 6.17890 5.95357i 0.0116145 0.0111909i
\(533\) −580.106 580.106i −1.08838 1.08838i
\(534\) 1.10351 6.91704i 0.00206650 0.0129533i
\(535\) 297.185 + 59.3703i 0.555486 + 0.110973i
\(536\) 22.3849 + 12.9239i 0.0417628 + 0.0241118i
\(537\) 126.730 + 174.842i 0.235997 + 0.325590i
\(538\) −184.882 184.882i −0.343647 0.343647i
\(539\) −511.589 + 814.659i −0.949145 + 1.51143i
\(540\) −267.041 39.8640i −0.494520 0.0738221i
\(541\) 325.449 + 563.694i 0.601569 + 1.04195i 0.992584 + 0.121564i \(0.0387909\pi\)
−0.391014 + 0.920385i \(0.627876\pi\)
\(542\) −263.230 + 70.5322i −0.485664 + 0.130133i
\(543\) −369.190 164.871i −0.679908 0.303629i
\(544\) −35.9376 62.2457i −0.0660617 0.114422i
\(545\) 128.650 + 63.5759i 0.236055 + 0.116653i
\(546\) 248.327 + 209.320i 0.454811 + 0.383370i
\(547\) 155.700 + 155.700i 0.284644 + 0.284644i 0.834958 0.550314i \(-0.185492\pi\)
−0.550314 + 0.834958i \(0.685492\pi\)
\(548\) 129.542 483.456i 0.236390 0.882219i
\(549\) 190.411 + 62.3411i 0.346833 + 0.113554i
\(550\) 549.964 + 423.455i 0.999935 + 0.769918i
\(551\) 9.14754 + 15.8440i 0.0166017 + 0.0287550i
\(552\) 11.0775 + 106.545i 0.0200679 + 0.193016i
\(553\) 520.899 + 149.995i 0.941951 + 0.271239i
\(554\) −619.086 −1.11748
\(555\) 167.579 + 118.924i 0.301944 + 0.214278i
\(556\) −397.667 229.593i −0.715229 0.412938i
\(557\) −68.9573 257.352i −0.123801 0.462033i 0.875993 0.482324i \(-0.160207\pi\)
−0.999794 + 0.0202914i \(0.993541\pi\)
\(558\) −14.0234 + 256.566i −0.0251316 + 0.459795i
\(559\) 723.371 1.29404
\(560\) 29.9712 136.754i 0.0535200 0.244204i
\(561\) −471.590 + 581.031i −0.840624 + 1.03571i
\(562\) −81.0832 + 302.607i −0.144276 + 0.538446i
\(563\) −109.570 408.921i −0.194618 0.726324i −0.992365 0.123332i \(-0.960642\pi\)
0.797747 0.602992i \(-0.206025\pi\)
\(564\) 111.561 + 291.604i 0.197804 + 0.517029i
\(565\) −77.6178 68.1831i −0.137377 0.120678i
\(566\) 560.922 0.991028
\(567\) 448.752 346.570i 0.791449 0.611235i
\(568\) 8.41761 8.41761i 0.0148197 0.0148197i
\(569\) 102.317 + 177.219i 0.179819 + 0.311456i 0.941819 0.336122i \(-0.109115\pi\)
−0.761999 + 0.647578i \(0.775782\pi\)
\(570\) 12.9444 + 1.21492i 0.0227095 + 0.00213143i
\(571\) −10.0374 + 17.3853i −0.0175786 + 0.0304471i −0.874681 0.484699i \(-0.838929\pi\)
0.857102 + 0.515146i \(0.172262\pi\)
\(572\) 111.134 414.757i 0.194290 0.725100i
\(573\) 57.7193 + 555.154i 0.100732 + 0.968855i
\(574\) −359.317 649.935i −0.625987 1.13229i
\(575\) −41.7140 + 312.834i −0.0725460 + 0.544059i
\(576\) 53.6144 48.0572i 0.0930806 0.0834327i
\(577\) −71.5200 266.916i −0.123952 0.462593i 0.875849 0.482586i \(-0.160302\pi\)
−0.999800 + 0.0199925i \(0.993636\pi\)
\(578\) −174.252 + 46.6907i −0.301474 + 0.0807798i
\(579\) 392.556 + 62.6263i 0.677989 + 0.108163i
\(580\) 267.612 + 132.248i 0.461401 + 0.228014i
\(581\) 407.126 + 7.56126i 0.700734 + 0.0130142i
\(582\) −57.4078 552.158i −0.0986389 0.948725i
\(583\) −1263.59 338.579i −2.16740 0.580753i
\(584\) 58.2478 + 33.6294i 0.0997393 + 0.0575845i
\(585\) 4.92876 + 492.090i 0.00842523 + 0.841179i
\(586\) −270.231 + 156.018i −0.461144 + 0.266242i
\(587\) 384.403 + 384.403i 0.654860 + 0.654860i 0.954159 0.299299i \(-0.0967529\pi\)
−0.299299 + 0.954159i \(0.596753\pi\)
\(588\) 163.584 + 244.287i 0.278204 + 0.415455i
\(589\) 12.3729i 0.0210065i
\(590\) −392.965 345.199i −0.666042 0.585082i
\(591\) −292.926 765.664i −0.495644 1.29554i
\(592\) −52.9299 + 14.1825i −0.0894086 + 0.0239570i
\(593\) −82.9396 22.2236i −0.139864 0.0374766i 0.188208 0.982129i \(-0.439732\pi\)
−0.328072 + 0.944653i \(0.606399\pi\)
\(594\) −666.774 342.570i −1.12252 0.576718i
\(595\) 394.953 + 204.388i 0.663786 + 0.343509i
\(596\) 169.584i 0.284537i
\(597\) −229.368 316.444i −0.384201 0.530057i
\(598\) 188.588 50.5319i 0.315364 0.0845015i
\(599\) 261.754 453.371i 0.436985 0.756880i −0.560470 0.828175i \(-0.689380\pi\)
0.997455 + 0.0712942i \(0.0227129\pi\)
\(600\) 186.706 100.702i 0.311177 0.167836i
\(601\) 135.446i 0.225368i 0.993631 + 0.112684i \(0.0359448\pi\)
−0.993631 + 0.112684i \(0.964055\pi\)
\(602\) 629.249 + 181.195i 1.04526 + 0.300989i
\(603\) −68.8776 44.9497i −0.114225 0.0745435i
\(604\) 483.764 279.301i 0.800934 0.462419i
\(605\) 733.606 + 1099.89i 1.21257 + 1.81801i
\(606\) −155.091 405.385i −0.255926 0.668952i
\(607\) 490.637 + 131.466i 0.808298 + 0.216583i 0.639224 0.769021i \(-0.279256\pi\)
0.169074 + 0.985603i \(0.445922\pi\)
\(608\) −2.45155 + 2.45155i −0.00403216 + 0.00403216i
\(609\) −589.537 + 213.080i −0.968041 + 0.349886i
\(610\) −149.103 + 50.4757i −0.244431 + 0.0827470i
\(611\) 492.820 284.530i 0.806580 0.465679i
\(612\) 103.372 + 204.010i 0.168909 + 0.333350i
\(613\) −182.131 679.722i −0.297114 1.10885i −0.939524 0.342484i \(-0.888732\pi\)
0.642410 0.766361i \(-0.277935\pi\)
\(614\) −83.0848 + 47.9690i −0.135317 + 0.0781254i
\(615\) 391.539 1054.97i 0.636648 1.71539i
\(616\) 200.565 332.954i 0.325593 0.540509i
\(617\) −61.9920 + 61.9920i −0.100473 + 0.100473i −0.755557 0.655083i \(-0.772634\pi\)
0.655083 + 0.755557i \(0.272634\pi\)
\(618\) −364.759 503.235i −0.590226 0.814296i
\(619\) −55.8546 + 96.7431i −0.0902337 + 0.156289i −0.907609 0.419816i \(-0.862095\pi\)
0.817376 + 0.576105i \(0.195428\pi\)
\(620\) −112.018 167.948i −0.180674 0.270885i
\(621\) −16.6929 340.442i −0.0268807 0.548216i
\(622\) −434.233 + 434.233i −0.698124 + 0.698124i
\(623\) −11.1056 3.19791i −0.0178260 0.00513308i
\(624\) −101.892 82.7004i −0.163289 0.132533i
\(625\) 604.238 159.756i 0.966780 0.255610i
\(626\) −179.958 + 311.696i −0.287473 + 0.497917i
\(627\) 32.9596 + 14.7189i 0.0525672 + 0.0234751i
\(628\) 133.883 499.658i 0.213189 0.795634i
\(629\) 174.061i 0.276726i
\(630\) −118.975 + 429.296i −0.188849 + 0.681422i
\(631\) −231.667 −0.367143 −0.183571 0.983006i \(-0.558766\pi\)
−0.183571 + 0.983006i \(0.558766\pi\)
\(632\) −211.564 56.6884i −0.334753 0.0896969i
\(633\) 164.725 368.865i 0.260229 0.582724i
\(634\) 154.233 + 89.0467i 0.243270 + 0.140452i
\(635\) −44.4534 39.0499i −0.0700053 0.0614959i
\(636\) −251.954 + 310.424i −0.396154 + 0.488088i
\(637\) 392.717 364.578i 0.616510 0.572336i
\(638\) 586.031 + 586.031i 0.918543 + 0.918543i
\(639\) −28.2066 + 25.2829i −0.0441418 + 0.0395664i
\(640\) −11.0820 + 55.4724i −0.0173157 + 0.0866756i
\(641\) −471.706 272.339i −0.735890 0.424866i 0.0846830 0.996408i \(-0.473012\pi\)
−0.820573 + 0.571542i \(0.806346\pi\)
\(642\) 208.210 150.917i 0.324315 0.235073i
\(643\) −521.820 521.820i −0.811539 0.811539i 0.173326 0.984865i \(-0.444549\pi\)
−0.984865 + 0.173326i \(0.944549\pi\)
\(644\) 176.707 + 3.28185i 0.274390 + 0.00509604i
\(645\) 413.634 + 901.868i 0.641293 + 1.39824i
\(646\) −5.50643 9.53741i −0.00852388 0.0147638i
\(647\) −258.810 + 69.3479i −0.400016 + 0.107184i −0.453218 0.891400i \(-0.649724\pi\)
0.0532020 + 0.998584i \(0.483057\pi\)
\(648\) −178.691 + 143.378i −0.275758 + 0.221263i
\(649\) −726.101 1257.64i −1.11880 1.93782i
\(650\) −234.863 307.134i −0.361327 0.472513i
\(651\) 417.337 + 74.5516i 0.641071 + 0.114519i
\(652\) 26.9296 + 26.9296i 0.0413030 + 0.0413030i
\(653\) 22.9450 85.6319i 0.0351378 0.131136i −0.946129 0.323790i \(-0.895043\pi\)
0.981267 + 0.192654i \(0.0617095\pi\)
\(654\) 113.726 43.5091i 0.173894 0.0665277i
\(655\) 469.190 + 703.456i 0.716320 + 1.07398i
\(656\) 150.037 + 259.872i 0.228715 + 0.396147i
\(657\) −179.227 116.964i −0.272796 0.178027i
\(658\) 499.968 124.063i 0.759830 0.188546i
\(659\) −80.5689 −0.122259 −0.0611297 0.998130i \(-0.519470\pi\)
−0.0611297 + 0.998130i \(0.519470\pi\)
\(660\) 580.650 98.6072i 0.879773 0.149405i
\(661\) 697.809 + 402.880i 1.05569 + 0.609501i 0.924236 0.381822i \(-0.124703\pi\)
0.131450 + 0.991323i \(0.458037\pi\)
\(662\) −108.078 403.353i −0.163260 0.609294i
\(663\) 337.512 244.639i 0.509068 0.368988i
\(664\) −164.532 −0.247789
\(665\) 4.59225 20.9538i 0.00690564 0.0315094i
\(666\) 170.634 35.8693i 0.256207 0.0538578i
\(667\) −97.5327 + 363.997i −0.146226 + 0.545723i
\(668\) 52.9778 + 197.716i 0.0793081 + 0.295982i
\(669\) −982.697 + 375.958i −1.46890 + 0.561969i
\(670\) 64.4847 4.17278i 0.0962458 0.00622803i
\(671\) −437.047 −0.651337
\(672\) −67.9194 97.4626i −0.101070 0.145034i
\(673\) 231.974 231.974i 0.344687 0.344687i −0.513439 0.858126i \(-0.671629\pi\)
0.858126 + 0.513439i \(0.171629\pi\)
\(674\) 348.075 + 602.884i 0.516432 + 0.894486i
\(675\) −610.698 + 287.529i −0.904738 + 0.425969i
\(676\) 49.4067 85.5750i 0.0730869 0.126590i
\(677\) −108.064 + 403.300i −0.159622 + 0.595717i 0.839043 + 0.544065i \(0.183115\pi\)
−0.998665 + 0.0516521i \(0.983551\pi\)
\(678\) −87.1935 + 9.06550i −0.128604 + 0.0133709i
\(679\) −915.767 17.0079i −1.34870 0.0250484i
\(680\) −161.091 79.6077i −0.236899 0.117070i
\(681\) 35.1162 220.116i 0.0515656 0.323225i
\(682\) −145.066 541.395i −0.212707 0.793835i
\(683\) 830.156 222.440i 1.21546 0.325680i 0.406555 0.913626i \(-0.366730\pi\)
0.808900 + 0.587946i \(0.200063\pi\)
\(684\) 8.21491 7.36342i 0.0120101 0.0107652i
\(685\) −401.226 1185.20i −0.585731 1.73023i
\(686\) 432.941 218.770i 0.631109 0.318907i
\(687\) 203.256 21.1325i 0.295860 0.0307605i
\(688\) −255.571 68.4800i −0.371469 0.0995349i
\(689\) 631.075 + 364.351i 0.915929 + 0.528812i
\(690\) 170.838 + 206.228i 0.247591 + 0.298881i
\(691\) −242.414 + 139.958i −0.350816 + 0.202544i −0.665045 0.746804i \(-0.731587\pi\)
0.314229 + 0.949347i \(0.398254\pi\)
\(692\) 235.661 + 235.661i 0.340550 + 0.340550i
\(693\) −695.065 + 1023.04i −1.00298 + 1.47625i
\(694\) 813.279i 1.17187i
\(695\) −1145.57 + 74.1295i −1.64830 + 0.106661i
\(696\) 236.569 90.5060i 0.339898 0.130037i
\(697\) −920.697 + 246.700i −1.32094 + 0.353945i
\(698\) −145.710 39.0429i −0.208754 0.0559354i
\(699\) 603.727 + 490.011i 0.863701 + 0.701018i
\(700\) −127.370 326.001i −0.181958 0.465716i
\(701\) 1078.49i 1.53850i 0.638949 + 0.769249i \(0.279370\pi\)
−0.638949 + 0.769249i \(0.720630\pi\)
\(702\) 309.375 + 280.454i 0.440705 + 0.399507i
\(703\) −8.11002 + 2.17307i −0.0115363 + 0.00309114i
\(704\) −78.5284 + 136.015i −0.111546 + 0.193203i
\(705\) 636.541 + 451.729i 0.902896 + 0.640750i
\(706\) 37.8738i 0.0536456i
\(707\) −695.049 + 172.471i −0.983097 + 0.243948i
\(708\) −441.445 + 45.8970i −0.623510 + 0.0648263i
\(709\) −379.565 + 219.142i −0.535353 + 0.309086i −0.743193 0.669077i \(-0.766690\pi\)
0.207841 + 0.978163i \(0.433356\pi\)
\(710\) 5.83027 29.1841i 0.00821165 0.0411043i
\(711\) 662.345 + 216.853i 0.931568 + 0.304998i
\(712\) 4.51056 + 1.20860i 0.00633506 + 0.00169747i
\(713\) 180.208 180.208i 0.252746 0.252746i
\(714\) 354.876 128.265i 0.497025 0.179643i
\(715\) −344.212 1016.79i −0.481415 1.42208i
\(716\) −124.673 + 71.9801i −0.174124 + 0.100531i
\(717\) −40.5760 + 90.8607i −0.0565913 + 0.126723i
\(718\) −133.315 497.538i −0.185675 0.692950i
\(719\) −139.253 + 80.3980i −0.193677 + 0.111819i −0.593703 0.804685i \(-0.702334\pi\)
0.400026 + 0.916504i \(0.369001\pi\)
\(720\) 44.8437 174.325i 0.0622830 0.242117i
\(721\) −897.447 + 496.154i −1.24473 + 0.688147i
\(722\) 360.624 360.624i 0.499480 0.499480i
\(723\) −690.756 + 500.680i −0.955402 + 0.692504i
\(724\) 134.777 233.441i 0.186156 0.322432i
\(725\) 740.042 96.1785i 1.02075 0.132660i
\(726\) 1107.83 + 176.737i 1.52593 + 0.243440i
\(727\) 694.902 694.902i 0.955848 0.955848i −0.0432176 0.999066i \(-0.513761\pi\)
0.999066 + 0.0432176i \(0.0137609\pi\)
\(728\) −155.919 + 150.233i −0.214174 + 0.206364i
\(729\) 592.645 424.515i 0.812956 0.582326i
\(730\) 167.796 10.8580i 0.229857 0.0148740i
\(731\) 420.224 727.850i 0.574862 0.995690i
\(732\) −54.4652 + 121.962i −0.0744060 + 0.166615i
\(733\) −39.1333 + 146.048i −0.0533879 + 0.199246i −0.987469 0.157816i \(-0.949555\pi\)
0.934081 + 0.357062i \(0.116222\pi\)
\(734\) 310.218i 0.422640i
\(735\) 679.101 + 281.152i 0.923947 + 0.382520i
\(736\) −71.4128 −0.0970282
\(737\) 173.296 + 46.4346i 0.235138 + 0.0630049i
\(738\) −431.574 851.732i −0.584789 1.15411i
\(739\) −1272.70 734.796i −1.72220 0.994311i −0.914355 0.404913i \(-0.867302\pi\)
−0.807843 0.589398i \(-0.799365\pi\)
\(740\) −90.4110 + 102.921i −0.122177 + 0.139083i
\(741\) −15.6122 12.6715i −0.0210691 0.0171006i
\(742\) 457.697 + 475.020i 0.616843 + 0.640189i
\(743\) −51.7779 51.7779i −0.0696876 0.0696876i 0.671404 0.741092i \(-0.265692\pi\)
−0.741092 + 0.671404i \(0.765692\pi\)
\(744\) −169.160 26.9869i −0.227365 0.0362727i
\(745\) −235.247 352.705i −0.315767 0.473429i
\(746\) 472.265 + 272.662i 0.633062 + 0.365499i
\(747\) 522.758 + 28.5730i 0.699810 + 0.0382504i
\(748\) −352.765 352.765i −0.471611 0.471611i
\(749\) −205.281 371.313i −0.274073 0.495745i
\(750\) 248.623 468.440i 0.331498 0.624587i
\(751\) −180.515 312.661i −0.240366 0.416327i 0.720452 0.693505i \(-0.243934\pi\)
−0.960819 + 0.277178i \(0.910601\pi\)
\(752\) −201.052 + 53.8717i −0.267356 + 0.0716379i
\(753\) −164.639 + 368.671i −0.218644 + 0.489603i
\(754\) −230.830 399.809i −0.306140 0.530250i
\(755\) 618.698 1251.97i 0.819468 1.65824i
\(756\) 198.870 + 321.457i 0.263056 + 0.425208i
\(757\) −43.6499 43.6499i −0.0576617 0.0576617i 0.677688 0.735350i \(-0.262982\pi\)
−0.735350 + 0.677688i \(0.762982\pi\)
\(758\) −139.576 + 520.904i −0.184137 + 0.687208i
\(759\) 265.673 + 694.428i 0.350030 + 0.914926i
\(760\) −1.69801