Properties

Label 38.4.e.a.9.2
Level $38$
Weight $4$
Character 38.9
Analytic conductor $2.242$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.24207258022\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + 5157591 x^{4} - 11890401 x^{3} - 56759508 x^{2} + 62864118 x + 272110107\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.2
Root \(-4.30460 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 38.9
Dual form 38.4.e.a.17.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.347296 + 1.96962i) q^{2} +(2.93054 - 2.45902i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(14.2818 + 5.19813i) q^{5} +(5.86108 + 4.91803i) q^{6} +(-0.806634 + 1.39713i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-2.14719 + 12.1773i) q^{9} +O(q^{10})\) \(q+(0.347296 + 1.96962i) q^{2} +(2.93054 - 2.45902i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(14.2818 + 5.19813i) q^{5} +(5.86108 + 4.91803i) q^{6} +(-0.806634 + 1.39713i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-2.14719 + 12.1773i) q^{9} +(-5.27832 + 29.9349i) q^{10} +(-19.2603 - 33.3598i) q^{11} +(-7.65110 + 13.2521i) q^{12} +(-3.06062 - 2.56816i) q^{13} +(-3.03195 - 1.10354i) q^{14} +(54.6355 - 19.8857i) q^{15} +(12.2567 - 10.2846i) q^{16} +(-15.5204 - 88.0204i) q^{17} -24.7304 q^{18} +(-77.1453 - 30.1265i) q^{19} -60.7933 q^{20} +(1.07169 + 6.07787i) q^{21} +(59.0169 - 49.5211i) q^{22} +(-63.4335 + 23.0879i) q^{23} +(-28.7587 - 10.4673i) q^{24} +(81.1923 + 68.1284i) q^{25} +(3.99535 - 6.92015i) q^{26} +(75.2967 + 130.418i) q^{27} +(1.12056 - 6.35503i) q^{28} +(-46.2659 + 262.387i) q^{29} +(58.1419 + 100.705i) q^{30} +(95.4652 - 165.351i) q^{31} +(24.5134 + 20.5692i) q^{32} +(-138.475 - 50.4009i) q^{33} +(167.976 - 61.1383i) q^{34} +(-18.7826 + 15.7605i) q^{35} +(-8.58876 - 48.7093i) q^{36} +137.719 q^{37} +(32.5453 - 162.409i) q^{38} -15.2844 q^{39} +(-21.1133 - 119.739i) q^{40} +(-189.962 + 159.397i) q^{41} +(-11.5989 + 4.22164i) q^{42} +(260.732 + 94.8987i) q^{43} +(118.034 + 99.0422i) q^{44} +(-93.9650 + 162.752i) q^{45} +(-67.5045 - 116.921i) q^{46} +(64.1805 - 363.985i) q^{47} +(10.6288 - 60.2789i) q^{48} +(170.199 + 294.793i) q^{49} +(-105.989 + 183.578i) q^{50} +(-261.927 - 219.782i) q^{51} +(15.0176 + 5.46596i) q^{52} +(-383.283 + 139.504i) q^{53} +(-230.722 + 193.599i) q^{54} +(-101.662 - 576.554i) q^{55} +12.9061 q^{56} +(-300.159 + 101.414i) q^{57} -532.869 q^{58} +(-102.217 - 579.700i) q^{59} +(-178.157 + 149.492i) q^{60} +(757.876 - 275.844i) q^{61} +(358.832 + 130.604i) q^{62} +(-15.2813 - 12.8225i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-30.3613 - 52.5873i) q^{65} +(51.1784 - 290.247i) q^{66} +(-35.5080 + 201.376i) q^{67} +(178.756 + 309.615i) q^{68} +(-129.121 + 223.644i) q^{69} +(-37.5652 - 31.5210i) q^{70} +(671.014 + 244.229i) q^{71} +(92.9558 - 33.8331i) q^{72} +(81.6202 - 68.4875i) q^{73} +(47.8293 + 271.253i) q^{74} +405.466 q^{75} +(331.187 + 7.69764i) q^{76} +62.1440 q^{77} +(-5.30822 - 30.1044i) q^{78} +(-393.010 + 329.775i) q^{79} +(228.508 - 83.1701i) q^{80} +(227.633 + 82.8518i) q^{81} +(-379.924 - 318.794i) q^{82} +(-439.020 + 760.404i) q^{83} +(-12.3433 - 21.3792i) q^{84} +(235.884 - 1337.76i) q^{85} +(-96.3626 + 546.500i) q^{86} +(509.629 + 882.704i) q^{87} +(-154.082 + 266.878i) q^{88} +(362.075 + 303.817i) q^{89} +(-353.193 - 128.552i) q^{90} +(6.05685 - 2.20451i) q^{91} +(206.846 - 173.564i) q^{92} +(-126.835 - 719.317i) q^{93} +739.201 q^{94} +(-945.168 - 831.271i) q^{95} +122.418 q^{96} +(285.092 + 1616.84i) q^{97} +(-521.519 + 437.606i) q^{98} +(447.589 - 162.909i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} + O(q^{10}) \) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} - 9q^{11} + 36q^{12} + 39q^{13} - 138q^{14} + 423q^{15} + 69q^{17} + 132q^{18} - 462q^{19} - 216q^{20} - 279q^{21} + 204q^{22} - 66q^{23} - 72q^{24} + 342q^{25} + 48q^{26} + 189q^{27} + 192q^{28} + 159q^{29} + 72q^{31} - 1560q^{33} + 408q^{34} - 135q^{35} - 108q^{36} + 1116q^{37} - 294q^{38} - 1248q^{39} + 147q^{41} + 414q^{42} - 117q^{43} + 408q^{44} + 1296q^{45} + 528q^{46} + 783q^{47} + 288q^{48} + 1413q^{49} - 354q^{50} - 2301q^{51} - 348q^{52} - 249q^{53} - 540q^{54} + 2187q^{55} - 336q^{56} - 2670q^{57} - 1932q^{58} - 4248q^{59} + 324q^{60} + 3114q^{61} - 438q^{62} + 363q^{63} - 384q^{64} + 495q^{65} + 822q^{66} + 3060q^{67} + 408q^{68} - 237q^{69} - 270q^{70} + 1686q^{71} + 432q^{72} + 1626q^{73} + 90q^{74} - 1854q^{75} - 1416q^{77} - 108q^{78} - 327q^{79} + 3483q^{81} + 294q^{82} + 927q^{83} + 204q^{84} - 3294q^{85} + 1188q^{86} + 2892q^{87} - 72q^{88} - 6366q^{89} - 5076q^{90} + 840q^{91} - 156q^{92} + 870q^{93} + 3432q^{94} + 513q^{95} - 576q^{96} - 8052q^{97} + 378q^{98} + 4494q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.347296 + 1.96962i 0.122788 + 0.696364i
\(3\) 2.93054 2.45902i 0.563983 0.473238i −0.315660 0.948872i \(-0.602226\pi\)
0.879643 + 0.475635i \(0.157782\pi\)
\(4\) −3.75877 + 1.36808i −0.469846 + 0.171010i
\(5\) 14.2818 + 5.19813i 1.27740 + 0.464935i 0.889571 0.456797i \(-0.151003\pi\)
0.387828 + 0.921732i \(0.373226\pi\)
\(6\) 5.86108 + 4.91803i 0.398796 + 0.334630i
\(7\) −0.806634 + 1.39713i −0.0435541 + 0.0754379i −0.886981 0.461807i \(-0.847201\pi\)
0.843427 + 0.537245i \(0.180535\pi\)
\(8\) −4.00000 6.92820i −0.176777 0.306186i
\(9\) −2.14719 + 12.1773i −0.0795256 + 0.451012i
\(10\) −5.27832 + 29.9349i −0.166915 + 0.946623i
\(11\) −19.2603 33.3598i −0.527927 0.914396i −0.999470 0.0325530i \(-0.989636\pi\)
0.471543 0.881843i \(-0.343697\pi\)
\(12\) −7.65110 + 13.2521i −0.184057 + 0.318796i
\(13\) −3.06062 2.56816i −0.0652971 0.0547908i 0.609555 0.792744i \(-0.291348\pi\)
−0.674852 + 0.737953i \(0.735793\pi\)
\(14\) −3.03195 1.10354i −0.0578802 0.0210667i
\(15\) 54.6355 19.8857i 0.940456 0.342298i
\(16\) 12.2567 10.2846i 0.191511 0.160697i
\(17\) −15.5204 88.0204i −0.221426 1.25577i −0.869401 0.494108i \(-0.835495\pi\)
0.647975 0.761662i \(-0.275616\pi\)
\(18\) −24.7304 −0.323833
\(19\) −77.1453 30.1265i −0.931492 0.363763i
\(20\) −60.7933 −0.679690
\(21\) 1.07169 + 6.07787i 0.0111363 + 0.0631571i
\(22\) 59.0169 49.5211i 0.571930 0.479906i
\(23\) −63.4335 + 23.0879i −0.575078 + 0.209311i −0.613154 0.789964i \(-0.710099\pi\)
0.0380759 + 0.999275i \(0.487877\pi\)
\(24\) −28.7587 10.4673i −0.244598 0.0890263i
\(25\) 81.1923 + 68.1284i 0.649538 + 0.545027i
\(26\) 3.99535 6.92015i 0.0301366 0.0521982i
\(27\) 75.2967 + 130.418i 0.536698 + 0.929589i
\(28\) 1.12056 6.35503i 0.00756309 0.0428924i
\(29\) −46.2659 + 262.387i −0.296254 + 1.68014i 0.365808 + 0.930690i \(0.380793\pi\)
−0.662062 + 0.749449i \(0.730319\pi\)
\(30\) 58.1419 + 100.705i 0.353840 + 0.612870i
\(31\) 95.4652 165.351i 0.553098 0.957994i −0.444950 0.895555i \(-0.646779\pi\)
0.998049 0.0624392i \(-0.0198880\pi\)
\(32\) 24.5134 + 20.5692i 0.135419 + 0.113630i
\(33\) −138.475 50.4009i −0.730468 0.265869i
\(34\) 167.976 61.1383i 0.847284 0.308386i
\(35\) −18.7826 + 15.7605i −0.0907097 + 0.0761145i
\(36\) −8.58876 48.7093i −0.0397628 0.225506i
\(37\) 137.719 0.611915 0.305957 0.952045i \(-0.401023\pi\)
0.305957 + 0.952045i \(0.401023\pi\)
\(38\) 32.5453 162.409i 0.138936 0.693323i
\(39\) −15.2844 −0.0627555
\(40\) −21.1133 119.739i −0.0834576 0.473312i
\(41\) −189.962 + 159.397i −0.723587 + 0.607161i −0.928375 0.371645i \(-0.878794\pi\)
0.204788 + 0.978806i \(0.434349\pi\)
\(42\) −11.5989 + 4.22164i −0.0426130 + 0.0155099i
\(43\) 260.732 + 94.8987i 0.924680 + 0.336556i 0.760099 0.649807i \(-0.225150\pi\)
0.164581 + 0.986364i \(0.447373\pi\)
\(44\) 118.034 + 99.0422i 0.404415 + 0.339345i
\(45\) −93.9650 + 162.752i −0.311277 + 0.539148i
\(46\) −67.5045 116.921i −0.216369 0.374763i
\(47\) 64.1805 363.985i 0.199185 1.12963i −0.707147 0.707066i \(-0.750018\pi\)
0.906332 0.422566i \(-0.138871\pi\)
\(48\) 10.6288 60.2789i 0.0319611 0.181261i
\(49\) 170.199 + 294.793i 0.496206 + 0.859454i
\(50\) −105.989 + 183.578i −0.299782 + 0.519238i
\(51\) −261.927 219.782i −0.719158 0.603445i
\(52\) 15.0176 + 5.46596i 0.0400494 + 0.0145768i
\(53\) −383.283 + 139.504i −0.993358 + 0.361553i −0.787019 0.616928i \(-0.788377\pi\)
−0.206338 + 0.978481i \(0.566155\pi\)
\(54\) −230.722 + 193.599i −0.581432 + 0.487880i
\(55\) −101.662 576.554i −0.249238 1.41350i
\(56\) 12.9061 0.0307974
\(57\) −300.159 + 101.414i −0.697491 + 0.235661i
\(58\) −532.869 −1.20637
\(59\) −102.217 579.700i −0.225551 1.27916i −0.861630 0.507538i \(-0.830556\pi\)
0.636079 0.771624i \(-0.280555\pi\)
\(60\) −178.157 + 149.492i −0.383333 + 0.321655i
\(61\) 757.876 275.844i 1.59076 0.578988i 0.613249 0.789890i \(-0.289862\pi\)
0.977507 + 0.210902i \(0.0676401\pi\)
\(62\) 358.832 + 130.604i 0.735027 + 0.267528i
\(63\) −15.2813 12.8225i −0.0305598 0.0256427i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) −30.3613 52.5873i −0.0579363 0.100349i
\(66\) 51.1784 290.247i 0.0954488 0.541317i
\(67\) −35.5080 + 201.376i −0.0647461 + 0.367194i 0.935169 + 0.354201i \(0.115247\pi\)
−0.999916 + 0.0129929i \(0.995864\pi\)
\(68\) 178.756 + 309.615i 0.318785 + 0.552153i
\(69\) −129.121 + 223.644i −0.225280 + 0.390196i
\(70\) −37.5652 31.5210i −0.0641415 0.0538211i
\(71\) 671.014 + 244.229i 1.12162 + 0.408235i 0.835242 0.549883i \(-0.185328\pi\)
0.286375 + 0.958118i \(0.407550\pi\)
\(72\) 92.9558 33.8331i 0.152152 0.0553788i
\(73\) 81.6202 68.4875i 0.130862 0.109806i −0.575008 0.818148i \(-0.695001\pi\)
0.705870 + 0.708342i \(0.250556\pi\)
\(74\) 47.8293 + 271.253i 0.0751357 + 0.426116i
\(75\) 405.466 0.624256
\(76\) 331.187 + 7.69764i 0.499865 + 0.0116182i
\(77\) 62.1440 0.0919735
\(78\) −5.30822 30.1044i −0.00770561 0.0437007i
\(79\) −393.010 + 329.775i −0.559710 + 0.469653i −0.878213 0.478269i \(-0.841264\pi\)
0.318503 + 0.947922i \(0.396820\pi\)
\(80\) 228.508 83.1701i 0.319350 0.116234i
\(81\) 227.633 + 82.8518i 0.312254 + 0.113651i
\(82\) −379.924 318.794i −0.511653 0.429328i
\(83\) −439.020 + 760.404i −0.580586 + 1.00561i 0.414823 + 0.909902i \(0.363843\pi\)
−0.995410 + 0.0957033i \(0.969490\pi\)
\(84\) −12.3433 21.3792i −0.0160329 0.0277697i
\(85\) 235.884 1337.76i 0.301002 1.70707i
\(86\) −96.3626 + 546.500i −0.120826 + 0.685239i
\(87\) 509.629 + 882.704i 0.628023 + 1.08777i
\(88\) −154.082 + 266.878i −0.186650 + 0.323288i
\(89\) 362.075 + 303.817i 0.431234 + 0.361848i 0.832417 0.554149i \(-0.186956\pi\)
−0.401183 + 0.915998i \(0.631401\pi\)
\(90\) −353.193 128.552i −0.413664 0.150562i
\(91\) 6.05685 2.20451i 0.00697726 0.00253952i
\(92\) 206.846 173.564i 0.234404 0.196688i
\(93\) −126.835 719.317i −0.141421 0.802039i
\(94\) 739.201 0.811093
\(95\) −945.168 831.271i −1.02076 0.897753i
\(96\) 122.418 0.130148
\(97\) 285.092 + 1616.84i 0.298419 + 1.69242i 0.652970 + 0.757384i \(0.273523\pi\)
−0.354551 + 0.935037i \(0.615366\pi\)
\(98\) −521.519 + 437.606i −0.537565 + 0.451071i
\(99\) 447.589 162.909i 0.454387 0.165383i
\(100\) −398.388 145.002i −0.398388 0.145002i
\(101\) −1242.95 1042.96i −1.22454 1.02751i −0.998575 0.0533740i \(-0.983002\pi\)
−0.225964 0.974136i \(-0.572553\pi\)
\(102\) 341.921 592.224i 0.331914 0.574891i
\(103\) 49.5297 + 85.7879i 0.0473816 + 0.0820673i 0.888744 0.458405i \(-0.151579\pi\)
−0.841362 + 0.540472i \(0.818246\pi\)
\(104\) −5.55028 + 31.4772i −0.00523317 + 0.0296788i
\(105\) −16.2879 + 92.3734i −0.0151385 + 0.0858545i
\(106\) −407.881 706.471i −0.373744 0.647344i
\(107\) −850.648 + 1473.37i −0.768554 + 1.33117i 0.169793 + 0.985480i \(0.445690\pi\)
−0.938347 + 0.345695i \(0.887643\pi\)
\(108\) −461.445 387.198i −0.411135 0.344983i
\(109\) −1142.28 415.758i −1.00377 0.365343i −0.212733 0.977110i \(-0.568237\pi\)
−0.791038 + 0.611768i \(0.790459\pi\)
\(110\) 1100.28 400.470i 0.953707 0.347121i
\(111\) 403.591 338.653i 0.345109 0.289581i
\(112\) 4.48225 + 25.4201i 0.00378155 + 0.0214462i
\(113\) 1228.73 1.02291 0.511457 0.859309i \(-0.329106\pi\)
0.511457 + 0.859309i \(0.329106\pi\)
\(114\) −303.992 555.977i −0.249749 0.456772i
\(115\) −1025.95 −0.831920
\(116\) −185.064 1049.55i −0.148127 0.840069i
\(117\) 37.8451 31.7558i 0.0299041 0.0250925i
\(118\) 1106.29 402.655i 0.863067 0.314131i
\(119\) 135.495 + 49.3162i 0.104377 + 0.0379900i
\(120\) −356.314 298.983i −0.271057 0.227444i
\(121\) −76.4170 + 132.358i −0.0574132 + 0.0994427i
\(122\) 806.515 + 1396.92i 0.598512 + 1.03665i
\(123\) −164.731 + 934.238i −0.120759 + 0.684857i
\(124\) −132.619 + 752.119i −0.0960445 + 0.544696i
\(125\) −144.468 250.225i −0.103373 0.179047i
\(126\) 19.9483 34.5515i 0.0141043 0.0244293i
\(127\) −442.286 371.122i −0.309028 0.259305i 0.475062 0.879952i \(-0.342426\pi\)
−0.784090 + 0.620647i \(0.786870\pi\)
\(128\) −120.281 43.7786i −0.0830579 0.0302306i
\(129\) 997.443 363.039i 0.680775 0.247782i
\(130\) 93.0325 78.0635i 0.0627653 0.0526663i
\(131\) −459.283 2604.72i −0.306319 1.73722i −0.617232 0.786781i \(-0.711746\pi\)
0.310913 0.950438i \(-0.399365\pi\)
\(132\) 589.449 0.388674
\(133\) 104.319 83.4810i 0.0680118 0.0544264i
\(134\) −408.965 −0.263651
\(135\) 397.440 + 2254.00i 0.253379 + 1.43699i
\(136\) −547.742 + 459.610i −0.345356 + 0.289788i
\(137\) −397.518 + 144.685i −0.247899 + 0.0902280i −0.462981 0.886368i \(-0.653220\pi\)
0.215082 + 0.976596i \(0.430998\pi\)
\(138\) −485.336 176.648i −0.299380 0.108966i
\(139\) 1055.16 + 885.385i 0.643867 + 0.540269i 0.905203 0.424979i \(-0.139719\pi\)
−0.261336 + 0.965248i \(0.584163\pi\)
\(140\) 49.0379 84.9361i 0.0296033 0.0512744i
\(141\) −706.962 1224.49i −0.422248 0.731355i
\(142\) −247.997 + 1406.46i −0.146559 + 0.831180i
\(143\) −26.7250 + 151.565i −0.0156284 + 0.0886329i
\(144\) 98.9214 + 171.337i 0.0572462 + 0.0991533i
\(145\) −2024.68 + 3506.85i −1.15959 + 2.00847i
\(146\) 163.240 + 136.975i 0.0925334 + 0.0776448i
\(147\) 1223.67 + 445.381i 0.686578 + 0.249894i
\(148\) −517.654 + 188.411i −0.287506 + 0.104644i
\(149\) 2633.00 2209.35i 1.44768 1.21475i 0.513426 0.858134i \(-0.328376\pi\)
0.934252 0.356613i \(-0.116068\pi\)
\(150\) 140.817 + 798.612i 0.0766510 + 0.434709i
\(151\) 968.182 0.521785 0.260892 0.965368i \(-0.415983\pi\)
0.260892 + 0.965368i \(0.415983\pi\)
\(152\) 99.8586 + 654.984i 0.0532869 + 0.349515i
\(153\) 1105.18 0.583976
\(154\) 21.5824 + 122.400i 0.0112932 + 0.0640471i
\(155\) 2222.92 1865.25i 1.15193 0.966586i
\(156\) 57.4506 20.9103i 0.0294854 0.0107318i
\(157\) 1576.54 + 573.812i 0.801409 + 0.291689i 0.710070 0.704131i \(-0.248663\pi\)
0.0913388 + 0.995820i \(0.470885\pi\)
\(158\) −786.021 659.550i −0.395775 0.332095i
\(159\) −780.184 + 1351.32i −0.389136 + 0.674004i
\(160\) 243.173 + 421.188i 0.120153 + 0.208112i
\(161\) 18.9108 107.248i 0.00925700 0.0524991i
\(162\) −84.1299 + 477.124i −0.0408017 + 0.231398i
\(163\) 437.165 + 757.192i 0.210070 + 0.363852i 0.951736 0.306917i \(-0.0992975\pi\)
−0.741666 + 0.670769i \(0.765964\pi\)
\(164\) 495.955 859.020i 0.236144 0.409013i
\(165\) −1715.68 1439.63i −0.809487 0.679241i
\(166\) −1650.17 600.614i −0.771556 0.280824i
\(167\) −2527.16 + 919.810i −1.17100 + 0.426210i −0.853016 0.521885i \(-0.825229\pi\)
−0.317986 + 0.948095i \(0.603007\pi\)
\(168\) 37.8219 31.7364i 0.0173692 0.0145745i
\(169\) −378.733 2147.90i −0.172386 0.977652i
\(170\) 2716.80 1.22570
\(171\) 532.506 874.736i 0.238139 0.391186i
\(172\) −1109.86 −0.492012
\(173\) −315.297 1788.14i −0.138564 0.785837i −0.972311 0.233690i \(-0.924920\pi\)
0.833747 0.552147i \(-0.186191\pi\)
\(174\) −1561.59 + 1310.33i −0.680369 + 0.570897i
\(175\) −160.677 + 58.4815i −0.0694058 + 0.0252616i
\(176\) −579.160 210.797i −0.248044 0.0902808i
\(177\) −1725.04 1447.48i −0.732554 0.614686i
\(178\) −472.655 + 818.662i −0.199028 + 0.344727i
\(179\) 186.205 + 322.517i 0.0777521 + 0.134671i 0.902280 0.431151i \(-0.141892\pi\)
−0.824528 + 0.565822i \(0.808559\pi\)
\(180\) 130.535 740.300i 0.0540527 0.306548i
\(181\) 373.294 2117.06i 0.153297 0.869389i −0.807030 0.590511i \(-0.798926\pi\)
0.960326 0.278878i \(-0.0899626\pi\)
\(182\) 6.44557 + 11.1641i 0.00262515 + 0.00454689i
\(183\) 1542.68 2672.00i 0.623160 1.07934i
\(184\) 413.691 + 347.128i 0.165749 + 0.139080i
\(185\) 1966.87 + 715.881i 0.781659 + 0.284501i
\(186\) 1372.73 499.632i 0.541147 0.196961i
\(187\) −2637.41 + 2213.05i −1.03137 + 0.865425i
\(188\) 256.722 + 1455.94i 0.0995924 + 0.564816i
\(189\) −242.947 −0.0935017
\(190\) 1309.03 2150.32i 0.499826 0.821054i
\(191\) −3291.72 −1.24702 −0.623509 0.781816i \(-0.714293\pi\)
−0.623509 + 0.781816i \(0.714293\pi\)
\(192\) 42.5152 + 241.115i 0.0159806 + 0.0906303i
\(193\) −321.207 + 269.525i −0.119798 + 0.100522i −0.700718 0.713438i \(-0.747137\pi\)
0.580921 + 0.813960i \(0.302693\pi\)
\(194\) −3085.53 + 1123.04i −1.14190 + 0.415617i
\(195\) −218.288 79.4504i −0.0801638 0.0291772i
\(196\) −1043.04 875.213i −0.380116 0.318955i
\(197\) −1017.65 + 1762.63i −0.368044 + 0.637471i −0.989260 0.146168i \(-0.953306\pi\)
0.621215 + 0.783640i \(0.286639\pi\)
\(198\) 476.314 + 825.000i 0.170960 + 0.296112i
\(199\) −440.599 + 2498.76i −0.156951 + 0.890114i 0.800029 + 0.599961i \(0.204817\pi\)
−0.956980 + 0.290153i \(0.906294\pi\)
\(200\) 147.238 835.030i 0.0520566 0.295228i
\(201\) 391.129 + 677.454i 0.137254 + 0.237731i
\(202\) 1622.56 2810.35i 0.565163 0.978890i
\(203\) −329.269 276.290i −0.113843 0.0955257i
\(204\) 1285.20 + 467.775i 0.441089 + 0.160543i
\(205\) −3541.55 + 1289.02i −1.20660 + 0.439166i
\(206\) −151.768 + 127.348i −0.0513309 + 0.0430717i
\(207\) −144.945 822.024i −0.0486685 0.276013i
\(208\) −63.9256 −0.0213098
\(209\) 480.826 + 3153.80i 0.159136 + 1.04379i
\(210\) −187.597 −0.0616448
\(211\) −230.987 1309.99i −0.0753639 0.427410i −0.999023 0.0441946i \(-0.985928\pi\)
0.923659 0.383215i \(-0.125183\pi\)
\(212\) 1249.82 1048.72i 0.404896 0.339748i
\(213\) 2567.00 934.311i 0.825764 0.300554i
\(214\) −3197.39 1163.76i −1.02135 0.371742i
\(215\) 3230.41 + 2710.64i 1.02471 + 0.859832i
\(216\) 602.374 1043.34i 0.189752 0.328659i
\(217\) 154.011 + 266.755i 0.0481794 + 0.0834492i
\(218\) 422.171 2394.25i 0.131161 0.743850i
\(219\) 70.7796 401.411i 0.0218394 0.123858i
\(220\) 1170.90 + 2028.05i 0.358826 + 0.621505i
\(221\) −178.549 + 309.255i −0.0543461 + 0.0941302i
\(222\) 807.182 + 677.306i 0.244029 + 0.204765i
\(223\) 2738.39 + 996.691i 0.822314 + 0.299298i 0.718700 0.695320i \(-0.244737\pi\)
0.103613 + 0.994618i \(0.466960\pi\)
\(224\) −48.5112 + 17.6566i −0.0144700 + 0.00526667i
\(225\) −1003.96 + 842.420i −0.297469 + 0.249606i
\(226\) 426.734 + 2420.13i 0.125601 + 0.712321i
\(227\) −808.460 −0.236385 −0.118192 0.992991i \(-0.537710\pi\)
−0.118192 + 0.992991i \(0.537710\pi\)
\(228\) 989.485 791.835i 0.287413 0.230003i
\(229\) 4517.68 1.30365 0.651827 0.758368i \(-0.274003\pi\)
0.651827 + 0.758368i \(0.274003\pi\)
\(230\) −356.310 2020.74i −0.102150 0.579319i
\(231\) 182.115 152.813i 0.0518715 0.0435253i
\(232\) 2002.93 729.008i 0.566806 0.206301i
\(233\) 2974.86 + 1082.76i 0.836435 + 0.304437i 0.724497 0.689278i \(-0.242072\pi\)
0.111938 + 0.993715i \(0.464294\pi\)
\(234\) 75.6902 + 63.5116i 0.0211454 + 0.0177431i
\(235\) 2808.65 4864.73i 0.779644 1.35038i
\(236\) 1177.29 + 2039.12i 0.324724 + 0.562438i
\(237\) −340.811 + 1932.84i −0.0934096 + 0.529752i
\(238\) −50.0770 + 284.001i −0.0136387 + 0.0773489i
\(239\) −2186.52 3787.17i −0.591776 1.02499i −0.993993 0.109442i \(-0.965094\pi\)
0.402217 0.915544i \(-0.368240\pi\)
\(240\) 465.135 805.638i 0.125101 0.216682i
\(241\) −2169.35 1820.30i −0.579836 0.486540i 0.305057 0.952334i \(-0.401324\pi\)
−0.884893 + 0.465794i \(0.845769\pi\)
\(242\) −287.234 104.545i −0.0762980 0.0277702i
\(243\) −2949.99 + 1073.71i −0.778773 + 0.283450i
\(244\) −2471.31 + 2073.67i −0.648398 + 0.544071i
\(245\) 898.363 + 5094.87i 0.234263 + 1.32857i
\(246\) −1897.30 −0.491738
\(247\) 158.742 + 290.327i 0.0408929 + 0.0747898i
\(248\) −1527.44 −0.391100
\(249\) 583.281 + 3307.95i 0.148450 + 0.841899i
\(250\) 442.674 371.448i 0.111989 0.0939697i
\(251\) −1563.77 + 569.167i −0.393245 + 0.143130i −0.531072 0.847327i \(-0.678211\pi\)
0.137827 + 0.990456i \(0.455988\pi\)
\(252\) 74.9812 + 27.2909i 0.0187435 + 0.00682209i
\(253\) 1991.95 + 1671.45i 0.494992 + 0.415348i
\(254\) 577.363 1000.02i 0.142626 0.247035i
\(255\) −2598.31 4500.41i −0.638088 1.10520i
\(256\) 44.4539 252.111i 0.0108530 0.0615505i
\(257\) −787.154 + 4464.17i −0.191056 + 1.08353i 0.726869 + 0.686776i \(0.240975\pi\)
−0.917925 + 0.396754i \(0.870137\pi\)
\(258\) 1061.46 + 1838.50i 0.256137 + 0.443642i
\(259\) −111.089 + 192.411i −0.0266514 + 0.0461616i
\(260\) 186.065 + 156.127i 0.0443818 + 0.0372407i
\(261\) −3095.83 1126.79i −0.734203 0.267228i
\(262\) 4970.80 1809.22i 1.17213 0.426619i
\(263\) −240.295 + 201.631i −0.0563392 + 0.0472742i −0.670522 0.741889i \(-0.733930\pi\)
0.614183 + 0.789163i \(0.289486\pi\)
\(264\) 204.714 + 1160.99i 0.0477244 + 0.270659i
\(265\) −6199.11 −1.43701
\(266\) 200.655 + 176.475i 0.0462516 + 0.0406781i
\(267\) 1808.16 0.414449
\(268\) −142.032 805.503i −0.0323731 0.183597i
\(269\) 2179.68 1828.97i 0.494042 0.414550i −0.361430 0.932399i \(-0.617711\pi\)
0.855472 + 0.517849i \(0.173267\pi\)
\(270\) −4301.48 + 1565.61i −0.969553 + 0.352889i
\(271\) 3800.92 + 1383.42i 0.851990 + 0.310099i 0.730851 0.682537i \(-0.239123\pi\)
0.121139 + 0.992636i \(0.461345\pi\)
\(272\) −1095.48 919.220i −0.244204 0.204911i
\(273\) 12.3289 21.3543i 0.00273326 0.00473414i
\(274\) −423.030 732.709i −0.0932706 0.161549i
\(275\) 708.963 4020.73i 0.155462 0.881670i
\(276\) 179.373 1017.27i 0.0391195 0.221857i
\(277\) −3925.62 6799.37i −0.851507 1.47485i −0.879848 0.475255i \(-0.842356\pi\)
0.0283408 0.999598i \(-0.490978\pi\)
\(278\) −1377.41 + 2385.75i −0.297165 + 0.514704i
\(279\) 1808.55 + 1517.55i 0.388082 + 0.325639i
\(280\) 184.322 + 67.0878i 0.0393406 + 0.0143188i
\(281\) −174.275 + 63.4310i −0.0369978 + 0.0134661i −0.360453 0.932777i \(-0.617378\pi\)
0.323455 + 0.946244i \(0.395156\pi\)
\(282\) 2166.26 1817.71i 0.457443 0.383840i
\(283\) −888.369 5038.19i −0.186601 1.05827i −0.923881 0.382679i \(-0.875001\pi\)
0.737280 0.675587i \(-0.236110\pi\)
\(284\) −2856.31 −0.596800
\(285\) −4813.96 111.889i −1.00054 0.0232552i
\(286\) −307.806 −0.0636398
\(287\) −69.4687 393.976i −0.0142878 0.0810303i
\(288\) −303.113 + 254.342i −0.0620177 + 0.0520390i
\(289\) −2890.00 + 1051.87i −0.588235 + 0.214100i
\(290\) −7610.31 2769.93i −1.54101 0.560881i
\(291\) 4811.30 + 4037.16i 0.969221 + 0.813273i
\(292\) −213.095 + 369.092i −0.0427071 + 0.0739708i
\(293\) −1789.16 3098.91i −0.356737 0.617886i 0.630677 0.776045i \(-0.282777\pi\)
−0.987414 + 0.158160i \(0.949444\pi\)
\(294\) −452.252 + 2564.85i −0.0897138 + 0.508792i
\(295\) 1553.52 8810.47i 0.306609 1.73887i
\(296\) −550.876 954.145i −0.108172 0.187360i
\(297\) 2900.47 5023.76i 0.566675 0.981510i
\(298\) 5266.01 + 4418.71i 1.02366 + 0.858955i
\(299\) 253.439 + 92.2442i 0.0490192 + 0.0178415i
\(300\) −1524.05 + 554.710i −0.293304 + 0.106754i
\(301\) −342.901 + 287.728i −0.0656627 + 0.0550976i
\(302\) 336.246 + 1906.95i 0.0640688 + 0.363352i
\(303\) −6207.18 −1.17687
\(304\) −1255.39 + 424.157i −0.236847 + 0.0800232i
\(305\) 12257.7 2.30122
\(306\) 383.824 + 2176.78i 0.0717052 + 0.406660i
\(307\) 576.540 483.775i 0.107182 0.0899364i −0.587622 0.809136i \(-0.699936\pi\)
0.694804 + 0.719199i \(0.255491\pi\)
\(308\) −233.585 + 85.0179i −0.0432134 + 0.0157284i
\(309\) 356.103 + 129.611i 0.0655598 + 0.0238618i
\(310\) 4445.85 + 3730.51i 0.814539 + 0.683480i
\(311\) −196.211 + 339.847i −0.0357752 + 0.0619645i −0.883359 0.468698i \(-0.844723\pi\)
0.847583 + 0.530662i \(0.178057\pi\)
\(312\) 61.1376 + 105.893i 0.0110937 + 0.0192149i
\(313\) −480.364 + 2724.28i −0.0867468 + 0.491966i 0.910219 + 0.414127i \(0.135913\pi\)
−0.996966 + 0.0778387i \(0.975198\pi\)
\(314\) −582.664 + 3304.45i −0.104719 + 0.593888i
\(315\) −151.591 262.563i −0.0271148 0.0469642i
\(316\) 1026.08 1777.22i 0.182663 0.316381i
\(317\) 4275.39 + 3587.48i 0.757507 + 0.635624i 0.937477 0.348049i \(-0.113156\pi\)
−0.179970 + 0.983672i \(0.557600\pi\)
\(318\) −2932.53 1067.36i −0.517133 0.188221i
\(319\) 9644.27 3510.23i 1.69271 0.616097i
\(320\) −745.126 + 625.235i −0.130168 + 0.109224i
\(321\) 1130.17 + 6409.52i 0.196511 + 1.11447i
\(322\) 217.805 0.0376951
\(323\) −1454.42 + 7257.93i −0.250546 + 1.25029i
\(324\) −968.970 −0.166147
\(325\) −73.5336 417.030i −0.0125505 0.0711774i
\(326\) −1339.55 + 1124.02i −0.227579 + 0.190962i
\(327\) −4369.87 + 1590.50i −0.739003 + 0.268975i
\(328\) 1864.18 + 678.507i 0.313818 + 0.114220i
\(329\) 456.765 + 383.271i 0.0765418 + 0.0642262i
\(330\) 2239.66 3879.20i 0.373604 0.647100i
\(331\) 2098.00 + 3633.85i 0.348389 + 0.603427i 0.985963 0.166962i \(-0.0533956\pi\)
−0.637575 + 0.770389i \(0.720062\pi\)
\(332\) 609.880 3458.80i 0.100818 0.571766i
\(333\) −295.709 + 1677.05i −0.0486629 + 0.275981i
\(334\) −2689.34 4658.08i −0.440582 0.763110i
\(335\) −1553.89 + 2691.42i −0.253428 + 0.438950i
\(336\) 75.6439 + 63.4728i 0.0122819 + 0.0103057i
\(337\) −3666.16 1334.37i −0.592607 0.215691i 0.0282689 0.999600i \(-0.491001\pi\)
−0.620876 + 0.783909i \(0.713223\pi\)
\(338\) 4099.01 1491.92i 0.659635 0.240088i
\(339\) 3600.85 3021.47i 0.576906 0.484082i
\(340\) 943.534 + 5351.05i 0.150501 + 0.853533i
\(341\) −7354.74 −1.16798
\(342\) 1907.83 + 745.039i 0.301648 + 0.117799i
\(343\) −1102.50 −0.173556
\(344\) −385.450 2186.00i −0.0604131 0.342620i
\(345\) −3006.60 + 2522.84i −0.469188 + 0.393696i
\(346\) 3412.45 1242.03i 0.530215 0.192982i
\(347\) −11111.6 4044.28i −1.71902 0.625672i −0.721266 0.692658i \(-0.756440\pi\)
−0.997754 + 0.0669855i \(0.978662\pi\)
\(348\) −3123.19 2620.67i −0.481094 0.403685i
\(349\) 547.409 948.141i 0.0839603 0.145424i −0.820987 0.570946i \(-0.806576\pi\)
0.904948 + 0.425523i \(0.139910\pi\)
\(350\) −170.989 296.161i −0.0261135 0.0452299i
\(351\) 104.480 592.533i 0.0158880 0.0901056i
\(352\) 214.049 1213.93i 0.0324115 0.183815i
\(353\) 1515.19 + 2624.39i 0.228457 + 0.395700i 0.957351 0.288927i \(-0.0932985\pi\)
−0.728894 + 0.684627i \(0.759965\pi\)
\(354\) 2251.88 3900.37i 0.338097 0.585600i
\(355\) 8313.73 + 6976.04i 1.24295 + 1.04296i
\(356\) −1776.60 646.630i −0.264494 0.0962678i
\(357\) 518.343 188.662i 0.0768449 0.0279693i
\(358\) −570.566 + 478.761i −0.0842328 + 0.0706797i
\(359\) 502.821 + 2851.64i 0.0739216 + 0.419230i 0.999202 + 0.0399461i \(0.0127186\pi\)
−0.925280 + 0.379284i \(0.876170\pi\)
\(360\) 1503.44 0.220106
\(361\) 5043.79 + 4648.23i 0.735353 + 0.677684i
\(362\) 4299.43 0.624235
\(363\) 101.528 + 575.792i 0.0146799 + 0.0832540i
\(364\) −19.7504 + 16.5725i −0.00284396 + 0.00238636i
\(365\) 1521.69 553.849i 0.218216 0.0794240i
\(366\) 5798.58 + 2110.51i 0.828133 + 0.301416i
\(367\) −2774.26 2327.88i −0.394592 0.331102i 0.423807 0.905753i \(-0.360694\pi\)
−0.818399 + 0.574651i \(0.805138\pi\)
\(368\) −540.036 + 935.369i −0.0764981 + 0.132499i
\(369\) −1533.14 2655.48i −0.216293 0.374631i
\(370\) −726.925 + 4122.60i −0.102138 + 0.579253i
\(371\) 114.264 648.024i 0.0159900 0.0906840i
\(372\) 1460.83 + 2530.23i 0.203603 + 0.352651i
\(373\) 2835.16 4910.64i 0.393563 0.681671i −0.599353 0.800485i \(-0.704576\pi\)
0.992917 + 0.118813i \(0.0379089\pi\)
\(374\) −5274.83 4426.11i −0.729291 0.611948i
\(375\) −1038.68 378.047i −0.143032 0.0520594i
\(376\) −2778.49 + 1011.29i −0.381089 + 0.138705i
\(377\) 815.454 684.247i 0.111401 0.0934762i
\(378\) −84.3747 478.513i −0.0114809 0.0651112i
\(379\) −9524.46 −1.29087 −0.645433 0.763817i \(-0.723323\pi\)
−0.645433 + 0.763817i \(0.723323\pi\)
\(380\) 4689.92 + 1831.49i 0.633125 + 0.247246i
\(381\) −2208.73 −0.296999
\(382\) −1143.20 6483.42i −0.153119 0.868378i
\(383\) 5597.33 4696.72i 0.746763 0.626608i −0.187882 0.982192i \(-0.560162\pi\)
0.934645 + 0.355583i \(0.115718\pi\)
\(384\) −460.139 + 167.477i −0.0611495 + 0.0222566i
\(385\) 887.525 + 323.033i 0.117487 + 0.0427617i
\(386\) −642.414 539.049i −0.0847098 0.0710800i
\(387\) −1715.45 + 2971.25i −0.225327 + 0.390277i
\(388\) −3283.56 5687.29i −0.429632 0.744145i
\(389\) 43.6252 247.411i 0.00568608 0.0322473i −0.981833 0.189749i \(-0.939233\pi\)
0.987519 + 0.157501i \(0.0503438\pi\)
\(390\) 80.6760 457.536i 0.0104748 0.0594058i
\(391\) 3016.72 + 5225.10i 0.390184 + 0.675818i
\(392\) 1361.59 2358.34i 0.175435 0.303863i
\(393\) −7751.00 6503.86i −0.994876 0.834800i
\(394\) −3825.12 1392.23i −0.489104 0.178019i
\(395\) −7327.09 + 2666.84i −0.933331 + 0.339705i
\(396\) −1459.51 + 1224.67i −0.185210 + 0.155410i
\(397\) −719.710 4081.68i −0.0909854 0.516004i −0.995904 0.0904188i \(-0.971179\pi\)
0.904918 0.425585i \(-0.139932\pi\)
\(398\) −5074.62 −0.639115
\(399\) 100.429 501.165i 0.0126008 0.0628813i
\(400\) 1695.82 0.211978
\(401\) −491.601 2788.01i −0.0612204 0.347198i −0.999996 0.00267008i \(-0.999150\pi\)
0.938776 0.344528i \(-0.111961\pi\)
\(402\) −1198.49 + 1005.65i −0.148694 + 0.124769i
\(403\) −716.829 + 260.904i −0.0886050 + 0.0322496i
\(404\) 6098.83 + 2219.79i 0.751059 + 0.273363i
\(405\) 2820.33 + 2366.54i 0.346033 + 0.290356i
\(406\) 429.830 744.488i 0.0525422 0.0910057i
\(407\) −2652.51 4594.27i −0.323046 0.559532i
\(408\) −474.991 + 2693.81i −0.0576362 + 0.326871i
\(409\) 1624.68 9213.99i 0.196418 1.11394i −0.713966 0.700180i \(-0.753103\pi\)
0.910385 0.413763i \(-0.135786\pi\)
\(410\) −3768.84 6527.83i −0.453975 0.786308i
\(411\) −809.160 + 1401.51i −0.0971117 + 0.168202i
\(412\) −303.536 254.697i −0.0362964 0.0304563i
\(413\) 892.368 + 324.795i 0.106321 + 0.0386977i
\(414\) 1568.73 570.972i 0.186229 0.0677820i
\(415\) −10222.7 + 8577.83i −1.20918 + 1.01462i
\(416\) −22.2011 125.909i −0.00261659 0.0148394i
\(417\) 5269.36 0.618805
\(418\) −6044.77 + 2042.34i −0.707320 + 0.238982i
\(419\) −3304.33 −0.385267 −0.192633 0.981271i \(-0.561703\pi\)
−0.192633 + 0.981271i \(0.561703\pi\)
\(420\) −65.1517 369.494i −0.00756923 0.0429273i
\(421\) 1201.15 1007.89i 0.139051 0.116678i −0.570609 0.821222i \(-0.693293\pi\)
0.709660 + 0.704544i \(0.248848\pi\)
\(422\) 2499.96 909.910i 0.288379 0.104961i
\(423\) 4294.56 + 1563.09i 0.493638 + 0.179669i
\(424\) 2499.64 + 2097.45i 0.286305 + 0.240238i
\(425\) 4736.56 8203.96i 0.540604 0.936354i
\(426\) 2731.74 + 4731.52i 0.310689 + 0.538128i
\(427\) −225.938 + 1281.36i −0.0256063 + 0.145221i
\(428\) 1181.71 6701.80i 0.133458 0.756878i
\(429\) 294.382 + 509.885i 0.0331303 + 0.0573834i
\(430\) −4217.00 + 7304.07i −0.472935 + 0.819147i
\(431\) 7656.81 + 6424.82i 0.855720 + 0.718035i 0.961042 0.276404i \(-0.0891427\pi\)
−0.105321 + 0.994438i \(0.533587\pi\)
\(432\) 2264.18 + 824.096i 0.252166 + 0.0917808i
\(433\) −8910.95 + 3243.32i −0.988991 + 0.359963i −0.785329 0.619078i \(-0.787506\pi\)
−0.203662 + 0.979041i \(0.565284\pi\)
\(434\) −471.916 + 395.985i −0.0521952 + 0.0437970i
\(435\) 2689.99 + 15255.7i 0.296494 + 1.68150i
\(436\) 4862.38 0.534095
\(437\) 5589.15 + 129.906i 0.611820 + 0.0142203i
\(438\) 815.206 0.0889317
\(439\) 1213.19 + 6880.33i 0.131896 + 0.748018i 0.976971 + 0.213371i \(0.0684444\pi\)
−0.845075 + 0.534647i \(0.820445\pi\)
\(440\) −3587.83 + 3010.55i −0.388735 + 0.326187i
\(441\) −3955.24 + 1439.59i −0.427085 + 0.155446i
\(442\) −671.124 244.269i −0.0722219 0.0262866i
\(443\) −6666.92 5594.21i −0.715022 0.599975i 0.210981 0.977490i \(-0.432334\pi\)
−0.926003 + 0.377515i \(0.876779\pi\)
\(444\) −1053.70 + 1825.06i −0.112627 + 0.195076i
\(445\) 3591.78 + 6221.15i 0.382622 + 0.662721i
\(446\) −1012.07 + 5739.72i −0.107450 + 0.609380i
\(447\) 2283.29 12949.2i 0.241602 1.37019i
\(448\) −51.6245 89.4163i −0.00544426 0.00942974i
\(449\) 6975.37 12081.7i 0.733159 1.26987i −0.222368 0.974963i \(-0.571379\pi\)
0.955526 0.294905i \(-0.0952881\pi\)
\(450\) −2007.91 1684.84i −0.210342 0.176498i
\(451\) 8976.17 + 3267.06i 0.937187 + 0.341108i
\(452\) −4618.52 + 1681.00i −0.480613 + 0.174929i
\(453\) 2837.30 2380.77i 0.294278 0.246928i
\(454\) −280.775 1592.36i −0.0290252 0.164610i
\(455\) 97.9618 0.0100935
\(456\) 1903.26 + 1673.90i 0.195456 + 0.171903i
\(457\) −7064.52 −0.723116 −0.361558 0.932350i \(-0.617755\pi\)
−0.361558 + 0.932350i \(0.617755\pi\)
\(458\) 1568.97 + 8898.09i 0.160073 + 0.907818i
\(459\) 10310.8 8651.78i 1.04851 0.879805i
\(460\) 3856.33 1403.59i 0.390874 0.142267i
\(461\) −2970.49 1081.17i −0.300107 0.109230i 0.187578 0.982250i \(-0.439936\pi\)
−0.487685 + 0.873020i \(0.662159\pi\)
\(462\) 364.231 + 305.626i 0.0366787 + 0.0307771i
\(463\) −4387.70 + 7599.71i −0.440418 + 0.762826i −0.997720 0.0674833i \(-0.978503\pi\)
0.557302 + 0.830310i \(0.311836\pi\)
\(464\) 2131.48 + 3691.83i 0.213257 + 0.369372i
\(465\) 1927.68 10932.4i 0.192245 1.09028i
\(466\) −1099.46 + 6235.36i −0.109295 + 0.619845i
\(467\) 8634.59 + 14955.6i 0.855592 + 1.48193i 0.876095 + 0.482139i \(0.160140\pi\)
−0.0205032 + 0.999790i \(0.506527\pi\)
\(468\) −98.8065 + 171.138i −0.00975925 + 0.0169035i
\(469\) −252.706 212.046i −0.0248804 0.0208771i
\(470\) 10557.1 + 3842.46i 1.03609 + 0.377106i
\(471\) 6031.11 2195.15i 0.590019 0.214749i
\(472\) −3607.41 + 3026.98i −0.351790 + 0.295186i
\(473\) −1855.97 10525.7i −0.180418 1.02320i
\(474\) −3925.31 −0.380370
\(475\) −4211.13 7701.83i −0.406779 0.743966i
\(476\) −576.764 −0.0555377
\(477\) −875.799 4966.90i −0.0840672 0.476769i
\(478\) 6699.90 5621.88i 0.641101 0.537948i
\(479\) 2048.83 745.711i 0.195435 0.0711324i −0.242449 0.970164i \(-0.577951\pi\)
0.437883 + 0.899032i \(0.355728\pi\)
\(480\) 1748.34 + 636.343i 0.166251 + 0.0605103i
\(481\) −421.505 353.685i −0.0399563 0.0335273i
\(482\) 2831.89 4904.98i 0.267612 0.463518i
\(483\) −208.306 360.797i −0.0196237 0.0339893i
\(484\) 106.157 602.049i 0.00996970 0.0565410i
\(485\) −4332.92 + 24573.2i −0.405665 + 2.30064i
\(486\) −3139.31 5437.45i −0.293008 0.507505i
\(487\) −2412.17 + 4178.00i −0.224447 + 0.388754i −0.956153 0.292866i \(-0.905391\pi\)
0.731706 + 0.681620i \(0.238724\pi\)
\(488\) −4942.61 4147.34i −0.458487 0.384716i
\(489\) 3143.08 + 1143.99i 0.290664 + 0.105793i
\(490\) −9722.94 + 3538.86i −0.896404 + 0.326264i
\(491\) 8557.94 7180.97i 0.786588 0.660025i −0.158311 0.987389i \(-0.550605\pi\)
0.944898 + 0.327364i \(0.106160\pi\)
\(492\) −658.925 3736.95i −0.0603794 0.342428i
\(493\) 23813.5 2.17547
\(494\) −516.702 + 413.491i −0.0470598 + 0.0376596i
\(495\) 7239.17 0.657326
\(496\) −530.475 3008.47i −0.0480223 0.272348i
\(497\) −882.483 + 740.491i −0.0796474 + 0.0668321i
\(498\) −6312.82 + 2297.68i −0.568041 + 0.206750i
\(499\) −14519.0 5284.47i −1.30252 0.474079i −0.404704 0.914448i \(-0.632626\pi\)
−0.897817 + 0.440369i \(0.854848\pi\)
\(500\) 885.349 + 742.896i 0.0791880 + 0.0664466i
\(501\) −5144.11 + 8909.86i −0.458726 + 0.794537i
\(502\) −1664.13 2882.37i −0.147956 0.256267i
\(503\) −1379.27 + 7822.23i −0.122264 + 0.693392i 0.860632 + 0.509228i \(0.170069\pi\)
−0.982896 + 0.184164i \(0.941042\pi\)
\(504\) −27.7119 + 157.162i −0.00244918 + 0.0138900i
\(505\) −12330.1 21356.3i −1.08650 1.88187i
\(506\) −2600.31 + 4503.87i −0.228454 + 0.395695i
\(507\) −6391.62 5363.20i −0.559885 0.469799i
\(508\) 2170.18 + 789.880i 0.189539 + 0.0689867i
\(509\) −5204.55 + 1894.30i −0.453218 + 0.164958i −0.558535 0.829481i \(-0.688636\pi\)
0.105317 + 0.994439i \(0.466414\pi\)
\(510\) 7961.69 6680.65i 0.691273 0.580047i
\(511\) 29.8484 + 169.278i 0.00258398 + 0.0146545i
\(512\) 512.000 0.0441942
\(513\) −1879.76 12329.5i −0.161780 1.06114i
\(514\) −9066.07 −0.777991
\(515\) 261.434 + 1482.66i 0.0223692 + 0.126862i
\(516\) −3252.49 + 2729.16i −0.277486 + 0.232839i
\(517\) −13378.6 + 4869.42i −1.13809 + 0.414230i
\(518\) −417.557 151.978i −0.0354178 0.0128910i
\(519\) −5321.06 4464.90i −0.450036 0.377625i
\(520\) −242.891 + 420.699i −0.0204836 + 0.0354786i
\(521\) 9252.40 + 16025.6i 0.778033 + 1.34759i 0.933074 + 0.359684i \(0.117115\pi\)
−0.155042 + 0.987908i \(0.549551\pi\)
\(522\) 1144.17 6488.92i 0.0959369 0.544085i
\(523\) 67.8315 384.692i 0.00567126 0.0321633i −0.981841 0.189707i \(-0.939246\pi\)
0.987512 + 0.157543i \(0.0503574\pi\)
\(524\) 5289.81 + 9162.22i 0.441005 + 0.763843i
\(525\) −327.063 + 566.489i −0.0271889 + 0.0470926i
\(526\) −480.590 403.263i −0.0398379 0.0334279i
\(527\) −16035.9 5836.58i −1.32549 0.482439i
\(528\) −2215.60 + 806.414i −0.182617 + 0.0664672i
\(529\) −5829.71 + 4891.71i −0.479141 + 0.402047i
\(530\) −2152.93 12209.9i −0.176448 1.00068i
\(531\) 7278.68 0.594854
\(532\) −277.901 + 456.502i −0.0226476 + 0.0372028i
\(533\) 990.757 0.0805150
\(534\) 627.969 + 3561.39i 0.0508893 + 0.288607i
\(535\) −19807.5 + 16620.5i −1.60066 + 1.34311i
\(536\) 1537.20 559.497i 0.123875 0.0450869i
\(537\) 1338.76 + 487.267i 0.107582 + 0.0391567i
\(538\) 4359.35 + 3657.93i 0.349340 + 0.293131i
\(539\) 6556.15 11355.6i 0.523921 0.907458i
\(540\) −4577.53 7928.52i −0.364788 0.631832i
\(541\) −2259.51 + 12814.3i −0.179564 + 1.01836i 0.753180 + 0.657815i \(0.228519\pi\)
−0.932743 + 0.360541i \(0.882592\pi\)
\(542\) −1404.76 + 7966.80i −0.111328 + 0.631372i
\(543\) −4111.92 7122.05i −0.324971 0.562866i
\(544\) 1430.05 2476.92i 0.112708 0.195215i
\(545\) −14152.7 11875.5i −1.11236 0.933377i
\(546\) 46.3416 + 16.8670i 0.00363230 + 0.00132205i
\(547\) 22033.0 8019.34i 1.72223 0.626841i 0.724203 0.689587i \(-0.242208\pi\)
0.998030 + 0.0627456i \(0.0199857\pi\)
\(548\) 1296.24 1087.67i 0.101045 0.0847866i
\(549\) 1731.74 + 9821.20i 0.134625 + 0.763494i
\(550\) 8165.51 0.633052
\(551\) 11474.0 18848.1i 0.887130 1.45727i
\(552\) 2065.93 0.159297
\(553\) −143.723 815.094i −0.0110519 0.0626787i
\(554\) 12028.8 10093.4i 0.922481 0.774053i
\(555\) 7524.35 2738.64i 0.575479 0.209457i
\(556\) −5177.38 1884.41i −0.394910 0.143735i
\(557\) 2199.71 + 1845.78i 0.167334 + 0.140410i 0.722609 0.691257i \(-0.242943\pi\)
−0.555275 + 0.831666i \(0.687387\pi\)
\(558\) −2360.89 + 4089.18i −0.179112 + 0.310231i
\(559\) −554.285 960.050i −0.0419388 0.0726401i
\(560\) −68.1227 + 386.343i −0.00514056 + 0.0291535i
\(561\) −2287.12 + 12970.9i −0.172125 + 0.976170i
\(562\) −185.460 321.226i −0.0139202 0.0241105i
\(563\) −9639.92 + 16696.8i −0.721623 + 1.24989i 0.238725 + 0.971087i \(0.423270\pi\)
−0.960349 + 0.278801i \(0.910063\pi\)
\(564\) 4332.52 + 3635.41i 0.323461 + 0.271416i
\(565\) 17548.4 + 6387.11i 1.30667 + 0.475589i
\(566\) 9614.77 3499.49i 0.714027 0.259884i
\(567\) −299.371 + 251.203i −0.0221736 + 0.0186058i
\(568\) −991.988 5625.84i −0.0732797 0.415590i
\(569\) 10628.0 0.783037 0.391519 0.920170i \(-0.371950\pi\)
0.391519 + 0.920170i \(0.371950\pi\)
\(570\) −1451.49 9520.51i −0.106660 0.699597i
\(571\) −23994.9 −1.75859 −0.879296 0.476276i \(-0.841986\pi\)
−0.879296 + 0.476276i \(0.841986\pi\)
\(572\) −106.900 606.260i −0.00781419 0.0443165i
\(573\) −9646.51 + 8094.38i −0.703296 + 0.590136i
\(574\) 751.856 273.653i 0.0546722 0.0198991i
\(575\) −6723.25 2447.06i −0.487615 0.177478i
\(576\) −606.226 508.684i −0.0438531 0.0367972i
\(577\) 3421.54 5926.28i 0.246864 0.427581i −0.715790 0.698316i \(-0.753933\pi\)
0.962654 + 0.270734i \(0.0872665\pi\)
\(578\) −3075.47 5326.87i −0.221320 0.383337i
\(579\) −278.545 + 1579.70i −0.0199929 + 0.113386i
\(580\) 2812.66 15951.4i 0.201361 1.14197i
\(581\) −708.256 1226.74i −0.0505739 0.0875965i
\(582\) −6280.70 + 10878.5i −0.447326 + 0.774791i
\(583\) 12035.9 + 10099.4i 0.855022 + 0.717449i
\(584\) −800.976 291.532i −0.0567545 0.0206570i
\(585\) 705.565 256.805i 0.0498658 0.0181497i
\(586\) 5482.30 4600.20i 0.386471 0.324287i
\(587\) −2520.10 14292.2i −0.177199 1.00495i −0.935575 0.353128i \(-0.885118\pi\)
0.758376 0.651817i \(-0.225993\pi\)
\(588\) −5208.83 −0.365320
\(589\) −12346.1 + 9879.98i −0.863689 + 0.691167i
\(590\) 17892.8 1.24853
\(591\) 1352.05 + 7667.87i 0.0941049 + 0.533695i
\(592\) 1687.98 1416.38i 0.117189 0.0983328i
\(593\) 17822.2 6486.75i 1.23418 0.449205i 0.359154 0.933278i \(-0.383065\pi\)
0.875028 + 0.484073i \(0.160843\pi\)
\(594\) 10902.2 + 3968.08i 0.753069 + 0.274095i
\(595\) 1678.76 + 1408.64i 0.115668 + 0.0970568i
\(596\) −6874.28 + 11906.6i −0.472452 + 0.818312i
\(597\) 4853.30 + 8406.17i 0.332718 + 0.576284i
\(598\) −93.6672 + 531.213i −0.00640525 + 0.0363260i
\(599\) −1075.07 + 6097.00i −0.0733322 + 0.415888i 0.925937 + 0.377677i \(0.123277\pi\)
−0.999270 + 0.0382109i \(0.987834\pi\)
\(600\) −1621.86 2809.15i −0.110354 0.191139i
\(601\) 1672.47 2896.80i 0.113513 0.196611i −0.803671 0.595074i \(-0.797123\pi\)
0.917184 + 0.398463i \(0.130456\pi\)
\(602\) −685.802 575.456i −0.0464306 0.0389599i
\(603\) −2375.98 864.785i −0.160460 0.0584026i
\(604\) −3639.17 + 1324.55i −0.245159 + 0.0892305i
\(605\) −1779.38 + 1493.08i −0.119574 + 0.100334i
\(606\) −2155.73 12225.8i −0.144506 0.819534i
\(607\) 19504.6 1.30423 0.652113 0.758122i \(-0.273883\pi\)
0.652113 + 0.758122i \(0.273883\pi\)
\(608\) −1271.42 2325.32i −0.0848072 0.155106i
\(609\) −1644.34 −0.109412
\(610\) 4257.05 + 24142.9i 0.282562 + 1.60249i
\(611\) −1131.21 + 949.194i −0.0748996 + 0.0628482i
\(612\) −4154.11 + 1511.97i −0.274379 + 0.0998658i
\(613\) 14556.2 + 5298.03i 0.959087 + 0.349079i 0.773676 0.633582i \(-0.218416\pi\)
0.185411 + 0.982661i \(0.440638\pi\)
\(614\) 1153.08 + 967.549i 0.0757891 + 0.0635946i
\(615\) −7208.95 + 12486.3i −0.472671 + 0.818690i
\(616\) −248.576 430.546i −0.0162588 0.0281610i
\(617\) −1718.15 + 9744.13i −0.112107 + 0.635792i 0.876035 + 0.482248i \(0.160180\pi\)
−0.988142 + 0.153544i \(0.950931\pi\)
\(618\) −131.610 + 746.398i −0.00856657 + 0.0485834i
\(619\) 11028.8 + 19102.4i 0.716130 + 1.24037i 0.962522 + 0.271203i \(0.0874215\pi\)
−0.246392 + 0.969170i \(0.579245\pi\)
\(620\) −5803.64 + 10052.2i −0.375935 + 0.651139i
\(621\) −7787.40 6534.40i −0.503217 0.422249i
\(622\) −737.511 268.432i −0.0475426 0.0173041i
\(623\) −716.533 + 260.797i −0.0460791 + 0.0167714i
\(624\) −187.337 + 157.194i −0.0120184 + 0.0100846i
\(625\) −3063.15 17372.0i −0.196041 1.11181i
\(626\) −5532.61 −0.353239
\(627\) 9164.31 + 8059.96i 0.583712 + 0.513372i
\(628\) −6710.86 −0.426421
\(629\) −2137.45 12122.1i −0.135494 0.768424i
\(630\) 464.501 389.762i 0.0293748 0.0246484i
\(631\) 7694.35 2800.51i 0.485431 0.176683i −0.0876987 0.996147i \(-0.527951\pi\)
0.573130 + 0.819465i \(0.305729\pi\)
\(632\) 3856.79 + 1403.76i 0.242745 + 0.0883519i
\(633\) −3898.20 3270.98i −0.244770 0.205387i
\(634\) −5581.12 + 9666.78i −0.349613 + 0.605547i
\(635\) −4387.48 7599.33i −0.274192 0.474914i
\(636\) 1083.82 6146.65i 0.0675728 0.383224i
\(637\) 236.163 1339.35i 0.0146893 0.0833074i
\(638\) 10263.2 + 17776.4i 0.636872 + 1.10310i
\(639\) −4414.86 + 7646.75i −0.273316 + 0.473397i
\(640\) −1490.25 1250.47i −0.0920428 0.0772330i
\(641\) −23626.9 8599.48i −1.45586 0.529889i −0.511637 0.859201i \(-0.670961\pi\)
−0.944221 + 0.329312i \(0.893183\pi\)
\(642\) −12231.8 + 4452.00i −0.751947 + 0.273686i
\(643\) 19692.2 16523.7i 1.20775 1.01342i 0.208378 0.978048i \(-0.433182\pi\)
0.999374 0.0353759i \(-0.0112628\pi\)
\(644\) 75.6431 + 428.993i 0.00462850 + 0.0262495i
\(645\) 16132.4 0.984823
\(646\) −14800.5 344.001i −0.901418 0.0209513i
\(647\) −4723.46 −0.287014 −0.143507 0.989649i \(-0.545838\pi\)
−0.143507 + 0.989649i \(0.545838\pi\)
\(648\) −336.520 1908.50i −0.0204008 0.115699i
\(649\) −17370.0 + 14575.1i −1.05059 + 0.881546i
\(650\) 795.851 289.666i 0.0480244 0.0174794i
\(651\) 1107.29 + 403.020i 0.0666637 + 0.0242636i
\(652\) −2679.10 2248.03i −0.160923 0.135030i
\(653\) 5177.17 8967.12i 0.310258 0.537382i −0.668160 0.744017i \(-0.732918\pi\)
0.978418 + 0.206635i \(0.0662513\pi\)
\(654\) −4650.31 8054.58i −0.278045 0.481589i
\(655\) 6980.33 39587.4i 0.416403 2.36154i
\(656\) −688.974 + 3907.36i −0.0410059 + 0.232556i
\(657\) 658.741 + 1140.97i 0.0391171 + 0.0677528i
\(658\) −596.264 + 1032.76i −0.0353264 + 0.0611872i
\(659\) −23336.0 19581.2i −1.37943 1.15748i −0.969424 0.245392i \(-0.921083\pi\)
−0.410002 0.912084i \(-0.634472\pi\)
\(660\) 8418.37 + 3064.03i 0.496492 + 0.180708i
\(661\) 3139.98 1142.86i 0.184767 0.0672497i −0.247980 0.968765i \(-0.579767\pi\)
0.432747 + 0.901516i \(0.357544\pi\)
\(662\) −6428.65 + 5394.28i −0.377427 + 0.316699i
\(663\) 237.220 + 1345.34i 0.0138957 + 0.0788064i
\(664\) 7024.32 0.410537
\(665\) 1923.80 649.992i 0.112183 0.0379032i
\(666\) −3405.84 −0.198159
\(667\) −3123.16 17712.3i −0.181303 1.02822i
\(668\) 8240.63 6914.71i 0.477305 0.400506i
\(669\) 10475.8 3812.89i 0.605410 0.220351i
\(670\) −5840.73 2125.85i −0.336787 0.122580i
\(671\) −23799.0 19969.7i −1.36923 1.14892i
\(672\) −98.7461 + 171.033i −0.00566847 + 0.00981808i
\(673\) 10759.0 + 18635.2i 0.616241 + 1.06736i 0.990165 + 0.139902i \(0.0446787\pi\)
−0.373924 + 0.927459i \(0.621988\pi\)
\(674\) 1354.96 7684.35i 0.0774348 0.439154i
\(675\) −2771.64 + 15718.8i −0.158045 + 0.896319i
\(676\) 4362.07 + 7555.33i 0.248184 + 0.429867i
\(677\) 299.227 518.276i 0.0169870 0.0294224i −0.857407 0.514639i \(-0.827926\pi\)
0.874394 + 0.485217i \(0.161259\pi\)
\(678\) 7201.70 + 6042.94i 0.407934 + 0.342298i
\(679\) −2488.89 905.884i −0.140670 0.0511997i
\(680\) −10211.8 + 3716.80i −0.575890 + 0.209607i
\(681\) −2369.22 + 1988.02i −0.133317 + 0.111866i
\(682\) −2554.28 14486.0i −0.143414 0.813341i
\(683\) −16817.3 −0.942159 −0.471080 0.882091i \(-0.656136\pi\)
−0.471080 + 0.882091i \(0.656136\pi\)
\(684\) −804.858 + 4016.44i −0.0449920 + 0.224521i
\(685\) −6429.34 −0.358617
\(686\) −382.895 2171.51i −0.0213105 0.120858i
\(687\) 13239.2 11109.0i 0.735238 0.616938i
\(688\) 4171.71 1518.38i 0.231170 0.0841390i
\(689\) 1531.35 + 557.366i 0.0846731 + 0.0308185i
\(690\) −6013.20 5045.68i −0.331766 0.278385i
\(691\) 4977.75 8621.72i 0.274041 0.474654i −0.695851 0.718186i \(-0.744973\pi\)
0.969893 + 0.243532i \(0.0783061\pi\)
\(692\) 3631.45 + 6289.86i 0.199490 + 0.345527i
\(693\) −133.435 + 756.747i −0.00731425 + 0.0414812i
\(694\) 4106.67 23290.1i 0.224621 1.27389i
\(695\) 10467.2 + 18129.7i 0.571285 + 0.989495i
\(696\) 4077.03 7061.63i 0.222040 0.384584i
\(697\) 16978.5 + 14246.6i 0.922676 + 0.774217i
\(698\) 2057.59 + 748.900i 0.111577 + 0.0406107i
\(699\) 11380.5 4142.15i 0.615806 0.224135i
\(700\) 523.939 439.637i 0.0282901 0.0237382i
\(701\) 4172.16 + 23661.5i 0.224794 + 1.27487i 0.863079 + 0.505069i \(0.168533\pi\)
−0.638285 + 0.769800i \(0.720356\pi\)
\(702\) 1203.35 0.0646972
\(703\) −10624.4 4148.99i −0.569994 0.222592i
\(704\) 2465.32 0.131982
\(705\) −3731.57 21162.8i −0.199346 1.13055i
\(706\) −4642.81 + 3895.78i −0.247499 + 0.207677i
\(707\) 2459.76 895.279i 0.130847 0.0476244i
\(708\) 8464.31 + 3080.76i 0.449305 + 0.163534i
\(709\) −16021.0 13443.2i −0.848635 0.712089i 0.110854 0.993837i \(-0.464641\pi\)
−0.959489 + 0.281748i \(0.909086\pi\)
\(710\) −10852.8 + 18797.6i −0.573660 + 0.993607i
\(711\) −3171.91 5493.91i −0.167308 0.289786i
\(712\) 656.605 3723.79i 0.0345609 0.196004i
\(713\) −2238.09 + 12692.8i −0.117556 + 0.666691i
\(714\) 551.610 + 955.416i 0.0289124 + 0.0500778i
\(715\) −1169.54 + 2025.69i −0.0611722 + 0.105953i
\(716\) −1141.13 957.523i −0.0595616 0.0499781i
\(717\) −15720.4 5721.76i −0.818814 0.298024i
\(718\) −5442.00 + 1980.73i −0.282860 + 0.102953i
\(719\) −4943.23 + 4147.86i −0.256400 + 0.215145i −0.761922 0.647669i \(-0.775744\pi\)
0.505523 + 0.862813i \(0.331300\pi\)
\(720\) 522.139 + 2961.20i 0.0270264 + 0.153274i
\(721\) −159.809 −0.00825466
\(722\) −7403.55 + 11548.6i −0.381622 + 0.595285i
\(723\) −10833.5 −0.557266
\(724\) 1493.18 + 8468.22i 0.0766484 + 0.434695i
\(725\) −21632.4 + 18151.8i −1.10815 + 0.929848i
\(726\) −1098.83 + 399.941i −0.0561726 + 0.0204452i
\(727\) 16271.3 + 5922.25i 0.830079 + 0.302124i 0.721891 0.692006i \(-0.243273\pi\)
0.108188 + 0.994130i \(0.465495\pi\)
\(728\) −39.5007 33.1451i −0.00201098 0.00168741i
\(729\) −9275.07 + 16064.9i −0.471222 + 0.816181i
\(730\) 1619.35 + 2804.79i 0.0821023 + 0.142205i
\(731\) 4306.36 24422.6i 0.217889 1.23571i
\(732\) −2143.07 + 12154.0i −0.108211 + 0.613693i
\(733\) −200.224 346.798i −0.0100893 0.0174751i 0.860937 0.508712i \(-0.169878\pi\)
−0.871026 + 0.491237i \(0.836545\pi\)
\(734\) 3621.54 6272.69i 0.182117 0.315435i
\(735\) 15161.1 + 12721.6i 0.760849 + 0.638428i
\(736\) −2029.87 738.813i −0.101660 0.0370013i
\(737\) 7401.75 2694.02i 0.369942 0.134648i
\(738\) 4697.82 3941.94i 0.234322 0.196619i
\(739\) 2759.21 + 15648.2i 0.137347 + 0.778931i 0.973197 + 0.229974i \(0.0738640\pi\)
−0.835850 + 0.548957i \(0.815025\pi\)
\(740\) −8372.39 −0.415912
\(741\) 1179.12 + 460.466i 0.0584562 + 0.0228281i
\(742\) 1316.04 0.0651124
\(743\) 4058.11 + 23014.7i 0.200374 + 1.13638i 0.904556 + 0.426356i \(0.140203\pi\)
−0.704182 + 0.710020i \(0.748686\pi\)
\(744\) −4476.23 + 3756.00i −0.220573 + 0.185083i
\(745\) 49088.4 17866.7i 2.41404 0.878639i
\(746\) 10656.7 + 3878.73i 0.523016 + 0.190362i
\(747\) −8317.03 6978.82i −0.407369 0.341823i
\(748\) 6885.80 11926.6i 0.336591 0.582992i
\(749\) −1372.32 2376.93i −0.0669474 0.115956i
\(750\) 383.879 2177.09i 0.0186897 0.105995i
\(751\) 5040.78 28587.7i 0.244928 1.38905i −0.575732 0.817638i \(-0.695283\pi\)
0.820660 0.571416i \(-0.193606\pi\)
\(752\) −2956.80 5121.33i −0.143382 0.248346i
\(753\) −3183.11 + 5513.31i −0.154049 + 0.266821i
\(754\) 1630.91 + 1368.49i 0.0787721 + 0.0660977i
\(755\) 13827.3 + 5032.74i 0.666527 + 0.242596i
\(756\) 913.183 332.372i 0.0439314 0.0159897i
\(757\) −23139.1 + 19416.0i −1.11097 + 0.932215i −0.998113 0.0613960i \(-0.980445\pi\)
−0.112857 + 0.993611i \(0.536000\pi\)
\(758\) −3307.81 18759.5i −0.158503 0.898914i
\(759\) 9947.61 0.475725
\(760\) −1978.54 + 9873.40i −0.0944331 + 0.471245i
\(761\) −6718.85 −0.320050 −0.160025 0.987113i \(-0.551158\pi\)
−0.160025 + 0.987113i \(0.551158\pi\)
\(762\) −767.084 4350.35i −0.0364679 0.206820i
\(763\) 1502.27 1260.56i 0.0712791 0.0598102i
\(764\) 12372.8 4503.33i 0.585906 0.213253i
\(765\) 15783.9 + 5744.86i 0.745970 + 0.271511i
\(766\) 11194.7 + 9393.43i 0.528041 + 0.443079i
\(767\) −1175.92 + 2036.75i −0.0553584 + 0.0958836i
\(768\) −489.670 848.134i −0.0230071 0.0398495i
\(769\) −5834.53 + 33089.3i −0.273600 + 1.55166i 0.469773 + 0.8827