Properties

Label 43.4.g.a.9.2
Level 43
Weight 4
Character 43.9
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 9.2
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.34805 - 2.94437i) q^{2} +(6.79273 + 1.02384i) q^{3} +(-1.37577 + 6.02765i) q^{4} +(14.9228 + 10.1742i) q^{5} +(-12.9351 - 22.4043i) q^{6} +(3.09950 - 5.36848i) q^{7} +(-6.16631 + 2.96954i) q^{8} +(19.2924 + 5.95092i) q^{9} +O(q^{10})\) \(q+(-2.34805 - 2.94437i) q^{2} +(6.79273 + 1.02384i) q^{3} +(-1.37577 + 6.02765i) q^{4} +(14.9228 + 10.1742i) q^{5} +(-12.9351 - 22.4043i) q^{6} +(3.09950 - 5.36848i) q^{7} +(-6.16631 + 2.96954i) q^{8} +(19.2924 + 5.95092i) q^{9} +(-5.08298 - 67.8276i) q^{10} +(-14.8001 - 64.8435i) q^{11} +(-15.5166 + 39.5356i) q^{12} +(-3.02268 + 40.3349i) q^{13} +(-23.0846 + 3.47944i) q^{14} +(90.9496 + 84.3889i) q^{15} +(67.7853 + 32.6437i) q^{16} +(-44.0213 + 30.0132i) q^{17} +(-27.7779 - 70.7770i) q^{18} +(-88.2846 + 27.2322i) q^{19} +(-81.8566 + 75.9519i) q^{20} +(26.5505 - 33.2933i) q^{21} +(-156.172 + 195.833i) q^{22} +(101.595 - 94.2662i) q^{23} +(-44.9264 + 13.8579i) q^{24} +(73.5077 + 187.294i) q^{25} +(125.858 - 85.8086i) q^{26} +(-42.1521 - 20.2994i) q^{27} +(28.0951 + 26.0685i) q^{28} +(-17.3939 + 2.62171i) q^{29} +(34.9173 - 465.939i) q^{30} +(-46.6987 + 118.986i) q^{31} +(-50.8650 - 222.854i) q^{32} +(-34.1438 - 455.617i) q^{33} +(191.734 + 59.1422i) q^{34} +(100.873 - 48.5779i) q^{35} +(-62.4120 + 108.101i) q^{36} +(-16.4542 - 28.4995i) q^{37} +(287.479 + 196.000i) q^{38} +(-61.8287 + 270.889i) q^{39} +(-122.231 - 18.4234i) q^{40} +(-66.5083 - 83.3988i) q^{41} -160.370 q^{42} +(-215.053 + 182.371i) q^{43} +411.215 q^{44} +(227.351 + 285.089i) q^{45} +(-516.104 - 77.7902i) q^{46} +(-60.0662 + 263.167i) q^{47} +(427.025 + 291.141i) q^{48} +(152.286 + 263.768i) q^{49} +(378.864 - 656.211i) q^{50} +(-329.753 + 158.801i) q^{51} +(-238.966 - 73.7112i) q^{52} +(-34.2377 - 456.870i) q^{53} +(39.2066 + 171.775i) q^{54} +(438.871 - 1118.22i) q^{55} +(-3.17053 + 42.3078i) q^{56} +(-627.575 + 94.5916i) q^{57} +(48.5611 + 45.0581i) q^{58} +(-2.77045 - 1.33418i) q^{59} +(-633.792 + 432.112i) q^{60} +(211.224 + 538.191i) q^{61} +(459.990 - 141.888i) q^{62} +(91.7442 - 85.1262i) q^{63} +(-161.459 + 202.464i) q^{64} +(-455.481 + 571.155i) q^{65} +(-1261.33 + 1170.35i) q^{66} +(667.449 - 205.881i) q^{67} +(-120.346 - 306.636i) q^{68} +(786.619 - 536.308i) q^{69} +(-379.886 - 182.944i) q^{70} +(-517.355 - 480.035i) q^{71} +(-136.634 + 20.5943i) q^{72} +(40.2931 - 537.674i) q^{73} +(-45.2777 + 115.366i) q^{74} +(307.558 + 1347.50i) q^{75} +(-42.6866 - 569.614i) q^{76} +(-393.984 - 121.528i) q^{77} +(942.774 - 454.016i) q^{78} +(352.610 - 610.739i) q^{79} +(679.422 + 1176.79i) q^{80} +(-715.938 - 488.118i) q^{81} +(-89.3916 + 391.650i) q^{82} +(1355.60 + 204.323i) q^{83} +(164.153 + 205.841i) q^{84} -962.279 q^{85} +(1041.92 + 204.979i) q^{86} -120.836 q^{87} +(283.817 + 355.896i) q^{88} +(-489.470 - 73.7758i) q^{89} +(305.574 - 1338.81i) q^{90} +(207.168 + 141.245i) q^{91} +(428.432 + 742.066i) q^{92} +(-439.034 + 760.429i) q^{93} +(915.900 - 441.074i) q^{94} +(-1594.52 - 491.843i) q^{95} +(-117.345 - 1565.86i) q^{96} +(-84.1275 - 368.587i) q^{97} +(419.052 - 1067.73i) q^{98} +(100.349 - 1339.06i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.34805 2.94437i −0.830163 1.04099i −0.998472 0.0552568i \(-0.982402\pi\)
0.168310 0.985734i \(-0.446169\pi\)
\(3\) 6.79273 + 1.02384i 1.30726 + 0.197038i 0.765468 0.643474i \(-0.222508\pi\)
0.541793 + 0.840512i \(0.317746\pi\)
\(4\) −1.37577 + 6.02765i −0.171971 + 0.753456i
\(5\) 14.9228 + 10.1742i 1.33473 + 0.910006i 0.999484 0.0321238i \(-0.0102271\pi\)
0.335249 + 0.942129i \(0.391179\pi\)
\(6\) −12.9351 22.4043i −0.880124 1.52442i
\(7\) 3.09950 5.36848i 0.167357 0.289871i −0.770133 0.637884i \(-0.779810\pi\)
0.937490 + 0.348013i \(0.113143\pi\)
\(8\) −6.16631 + 2.96954i −0.272515 + 0.131236i
\(9\) 19.2924 + 5.95092i 0.714534 + 0.220404i
\(10\) −5.08298 67.8276i −0.160738 2.14490i
\(11\) −14.8001 64.8435i −0.405673 1.77737i −0.603741 0.797181i \(-0.706324\pi\)
0.198068 0.980188i \(-0.436533\pi\)
\(12\) −15.5166 + 39.5356i −0.373271 + 0.951078i
\(13\) −3.02268 + 40.3349i −0.0644878 + 0.860529i 0.867360 + 0.497681i \(0.165815\pi\)
−0.931848 + 0.362849i \(0.881804\pi\)
\(14\) −23.0846 + 3.47944i −0.440687 + 0.0664228i
\(15\) 90.9496 + 84.3889i 1.56554 + 1.45261i
\(16\) 67.7853 + 32.6437i 1.05915 + 0.510057i
\(17\) −44.0213 + 30.0132i −0.628043 + 0.428192i −0.835071 0.550143i \(-0.814573\pi\)
0.207028 + 0.978335i \(0.433621\pi\)
\(18\) −27.7779 70.7770i −0.363740 0.926795i
\(19\) −88.2846 + 27.2322i −1.06599 + 0.328816i −0.777641 0.628709i \(-0.783584\pi\)
−0.288353 + 0.957524i \(0.593108\pi\)
\(20\) −81.8566 + 75.9519i −0.915185 + 0.849168i
\(21\) 26.5505 33.2933i 0.275895 0.345961i
\(22\) −156.172 + 195.833i −1.51345 + 1.89781i
\(23\) 101.595 94.2662i 0.921042 0.854602i −0.0686750 0.997639i \(-0.521877\pi\)
0.989717 + 0.143037i \(0.0456867\pi\)
\(24\) −44.9264 + 13.8579i −0.382106 + 0.117864i
\(25\) 73.5077 + 187.294i 0.588061 + 1.49836i
\(26\) 125.858 85.8086i 0.949339 0.647248i
\(27\) −42.1521 20.2994i −0.300451 0.144690i
\(28\) 28.0951 + 26.0685i 0.189624 + 0.175946i
\(29\) −17.3939 + 2.62171i −0.111378 + 0.0167876i −0.204495 0.978868i \(-0.565555\pi\)
0.0931166 + 0.995655i \(0.470317\pi\)
\(30\) 34.9173 465.939i 0.212500 2.83561i
\(31\) −46.6987 + 118.986i −0.270559 + 0.689373i 0.729427 + 0.684059i \(0.239787\pi\)
−0.999986 + 0.00531432i \(0.998308\pi\)
\(32\) −50.8650 222.854i −0.280992 1.23111i
\(33\) −34.1438 455.617i −0.180111 2.40342i
\(34\) 191.734 + 59.1422i 0.967122 + 0.298318i
\(35\) 100.873 48.5779i 0.487161 0.234604i
\(36\) −62.4120 + 108.101i −0.288944 + 0.500466i
\(37\) −16.4542 28.4995i −0.0731096 0.126630i 0.827153 0.561977i \(-0.189959\pi\)
−0.900263 + 0.435347i \(0.856626\pi\)
\(38\) 287.479 + 196.000i 1.22724 + 0.836720i
\(39\) −61.8287 + 270.889i −0.253859 + 1.11223i
\(40\) −122.231 18.4234i −0.483160 0.0728247i
\(41\) −66.5083 83.3988i −0.253338 0.317676i 0.638858 0.769325i \(-0.279407\pi\)
−0.892196 + 0.451649i \(0.850836\pi\)
\(42\) −160.370 −0.589180
\(43\) −215.053 + 182.371i −0.762682 + 0.646774i
\(44\) 411.215 1.40893
\(45\) 227.351 + 285.089i 0.753143 + 0.944411i
\(46\) −516.104 77.7902i −1.65425 0.249338i
\(47\) −60.0662 + 263.167i −0.186416 + 0.816743i 0.792070 + 0.610430i \(0.209003\pi\)
−0.978486 + 0.206312i \(0.933854\pi\)
\(48\) 427.025 + 291.141i 1.28408 + 0.875470i
\(49\) 152.286 + 263.768i 0.443983 + 0.769002i
\(50\) 378.864 656.211i 1.07159 1.85605i
\(51\) −329.753 + 158.801i −0.905386 + 0.436011i
\(52\) −238.966 73.7112i −0.637281 0.196575i
\(53\) −34.2377 456.870i −0.0887341 1.18407i −0.846806 0.531902i \(-0.821477\pi\)
0.758072 0.652171i \(-0.226142\pi\)
\(54\) 39.2066 + 171.775i 0.0988026 + 0.432883i
\(55\) 438.871 1118.22i 1.07595 2.74148i
\(56\) −3.17053 + 42.3078i −0.00756571 + 0.100957i
\(57\) −627.575 + 94.5916i −1.45832 + 0.219806i
\(58\) 48.5611 + 45.0581i 0.109938 + 0.102007i
\(59\) −2.77045 1.33418i −0.00611325 0.00294399i 0.430825 0.902436i \(-0.358223\pi\)
−0.436938 + 0.899492i \(0.643937\pi\)
\(60\) −633.792 + 432.112i −1.36370 + 0.929757i
\(61\) 211.224 + 538.191i 0.443353 + 1.12964i 0.961610 + 0.274419i \(0.0884856\pi\)
−0.518257 + 0.855225i \(0.673419\pi\)
\(62\) 459.990 141.888i 0.942239 0.290642i
\(63\) 91.7442 85.1262i 0.183471 0.170236i
\(64\) −161.459 + 202.464i −0.315350 + 0.395437i
\(65\) −455.481 + 571.155i −0.869161 + 1.08989i
\(66\) −1261.33 + 1170.35i −2.35241 + 2.18272i
\(67\) 667.449 205.881i 1.21704 0.375408i 0.381260 0.924468i \(-0.375490\pi\)
0.835783 + 0.549060i \(0.185014\pi\)
\(68\) −120.346 306.636i −0.214619 0.546839i
\(69\) 786.619 536.308i 1.37243 0.935708i
\(70\) −379.886 182.944i −0.648644 0.312371i
\(71\) −517.355 480.035i −0.864771 0.802390i 0.116867 0.993148i \(-0.462715\pi\)
−0.981637 + 0.190758i \(0.938906\pi\)
\(72\) −136.634 + 20.5943i −0.223646 + 0.0337092i
\(73\) 40.2931 537.674i 0.0646021 0.862055i −0.866938 0.498416i \(-0.833915\pi\)
0.931540 0.363639i \(-0.118466\pi\)
\(74\) −45.2777 + 115.366i −0.0711274 + 0.181230i
\(75\) 307.558 + 1347.50i 0.473517 + 2.07461i
\(76\) −42.6866 569.614i −0.0644276 0.859726i
\(77\) −393.984 121.528i −0.583100 0.179862i
\(78\) 942.774 454.016i 1.36857 0.659066i
\(79\) 352.610 610.739i 0.502174 0.869791i −0.497823 0.867279i \(-0.665867\pi\)
0.999997 0.00251201i \(-0.000799600\pi\)
\(80\) 679.422 + 1176.79i 0.949521 + 1.64462i
\(81\) −715.938 488.118i −0.982082 0.669572i
\(82\) −89.3916 + 391.650i −0.120386 + 0.527445i
\(83\) 1355.60 + 204.323i 1.79272 + 0.270210i 0.959293 0.282413i \(-0.0911348\pi\)
0.833432 + 0.552623i \(0.186373\pi\)
\(84\) 164.153 + 205.841i 0.213220 + 0.267370i
\(85\) −962.279 −1.22793
\(86\) 1041.92 + 204.979i 1.30644 + 0.257017i
\(87\) −120.836 −0.148908
\(88\) 283.817 + 355.896i 0.343807 + 0.431120i
\(89\) −489.470 73.7758i −0.582963 0.0878676i −0.149062 0.988828i \(-0.547625\pi\)
−0.433902 + 0.900960i \(0.642863\pi\)
\(90\) 305.574 1338.81i 0.357892 1.56803i
\(91\) 207.168 + 141.245i 0.238650 + 0.162709i
\(92\) 428.432 + 742.066i 0.485512 + 0.840932i
\(93\) −439.034 + 760.429i −0.489524 + 0.847880i
\(94\) 915.900 441.074i 1.00498 0.483972i
\(95\) −1594.52 491.843i −1.72204 0.531179i
\(96\) −117.345 1565.86i −0.124755 1.66474i
\(97\) −84.1275 368.587i −0.0880603 0.385818i 0.911622 0.411030i \(-0.134831\pi\)
−0.999682 + 0.0252125i \(0.991974\pi\)
\(98\) 419.052 1067.73i 0.431945 1.10058i
\(99\) 100.349 1339.06i 0.101873 1.35940i
\(100\) −1230.07 + 185.404i −1.23007 + 0.185404i
\(101\) −116.963 108.526i −0.115230 0.106918i 0.620453 0.784243i \(-0.286949\pi\)
−0.735684 + 0.677325i \(0.763139\pi\)
\(102\) 1241.85 + 598.041i 1.20550 + 0.580538i
\(103\) 254.276 173.362i 0.243248 0.165844i −0.435559 0.900160i \(-0.643449\pi\)
0.678808 + 0.734316i \(0.262497\pi\)
\(104\) −101.137 257.693i −0.0953588 0.242970i
\(105\) 734.938 226.698i 0.683073 0.210700i
\(106\) −1264.80 + 1173.56i −1.15895 + 1.07535i
\(107\) 605.160 758.846i 0.546757 0.685612i −0.429291 0.903166i \(-0.641237\pi\)
0.976048 + 0.217554i \(0.0698080\pi\)
\(108\) 180.349 226.151i 0.160686 0.201494i
\(109\) −899.530 + 834.642i −0.790453 + 0.733433i −0.968074 0.250666i \(-0.919350\pi\)
0.177621 + 0.984099i \(0.443160\pi\)
\(110\) −4322.95 + 1333.45i −3.74707 + 1.15582i
\(111\) −82.5900 210.436i −0.0706225 0.179943i
\(112\) 385.347 262.725i 0.325106 0.221654i
\(113\) 1861.16 + 896.289i 1.54941 + 0.746157i 0.996217 0.0868952i \(-0.0276945\pi\)
0.553194 + 0.833052i \(0.313409\pi\)
\(114\) 1752.09 + 1625.70i 1.43946 + 1.33562i
\(115\) 2475.16 373.070i 2.00704 0.302512i
\(116\) 8.12729 108.451i 0.00650517 0.0868055i
\(117\) −298.344 + 760.169i −0.235743 + 0.600664i
\(118\) 2.57686 + 11.2899i 0.00201033 + 0.00880782i
\(119\) 24.6816 + 329.353i 0.0190131 + 0.253712i
\(120\) −811.419 250.290i −0.617267 0.190402i
\(121\) −2786.45 + 1341.88i −2.09350 + 1.00818i
\(122\) 1088.67 1885.62i 0.807895 1.39931i
\(123\) −366.386 634.599i −0.268585 0.465202i
\(124\) −652.961 445.181i −0.472884 0.322407i
\(125\) −306.257 + 1341.80i −0.219140 + 0.960114i
\(126\) −466.063 70.2477i −0.329525 0.0496680i
\(127\) −154.184 193.340i −0.107729 0.135088i 0.725044 0.688703i \(-0.241819\pi\)
−0.832773 + 0.553615i \(0.813248\pi\)
\(128\) −853.439 −0.589328
\(129\) −1647.52 + 1018.61i −1.12446 + 0.695225i
\(130\) 2751.18 1.85611
\(131\) 1423.14 + 1784.57i 0.949166 + 1.19022i 0.981640 + 0.190744i \(0.0610900\pi\)
−0.0324740 + 0.999473i \(0.510339\pi\)
\(132\) 2793.27 + 421.018i 1.84184 + 0.277613i
\(133\) −127.442 + 558.361i −0.0830875 + 0.364030i
\(134\) −2173.40 1481.80i −1.40114 0.955281i
\(135\) −422.497 731.786i −0.269354 0.466534i
\(136\) 182.323 315.793i 0.114957 0.199111i
\(137\) 519.403 250.131i 0.323909 0.155987i −0.264862 0.964286i \(-0.585326\pi\)
0.588771 + 0.808300i \(0.299612\pi\)
\(138\) −3426.11 1056.82i −2.11341 0.651899i
\(139\) −137.397 1833.44i −0.0838407 1.11878i −0.867451 0.497523i \(-0.834243\pi\)
0.783610 0.621253i \(-0.213376\pi\)
\(140\) 154.032 + 674.859i 0.0929863 + 0.407400i
\(141\) −677.454 + 1726.13i −0.404624 + 1.03096i
\(142\) −198.622 + 2650.43i −0.117380 + 1.56633i
\(143\) 2660.19 400.959i 1.55564 0.234475i
\(144\) 1113.48 + 1033.16i 0.644376 + 0.597894i
\(145\) −286.239 137.845i −0.163937 0.0789478i
\(146\) −1677.72 + 1143.85i −0.951022 + 0.648396i
\(147\) 764.383 + 1947.62i 0.428879 + 1.09277i
\(148\) 194.422 59.9713i 0.107983 0.0333082i
\(149\) −98.0682 + 90.9940i −0.0539199 + 0.0500303i −0.706673 0.707541i \(-0.749805\pi\)
0.652753 + 0.757571i \(0.273614\pi\)
\(150\) 3245.37 4069.57i 1.76656 2.21519i
\(151\) 531.951 667.046i 0.286686 0.359493i −0.617546 0.786535i \(-0.711873\pi\)
0.904232 + 0.427042i \(0.140444\pi\)
\(152\) 463.523 430.086i 0.247347 0.229504i
\(153\) −1027.88 + 317.060i −0.543133 + 0.167534i
\(154\) 567.274 + 1445.39i 0.296832 + 0.756317i
\(155\) −1907.46 + 1300.48i −0.988458 + 0.673919i
\(156\) −1547.76 745.363i −0.794359 0.382543i
\(157\) 471.311 + 437.313i 0.239584 + 0.222302i 0.790821 0.612047i \(-0.209654\pi\)
−0.551237 + 0.834348i \(0.685844\pi\)
\(158\) −2626.19 + 395.834i −1.32233 + 0.199309i
\(159\) 235.194 3138.45i 0.117309 1.56538i
\(160\) 1508.31 3843.11i 0.745264 1.89890i
\(161\) −191.174 837.588i −0.0935815 0.410007i
\(162\) 243.862 + 3254.11i 0.118269 + 1.57819i
\(163\) −670.288 206.757i −0.322092 0.0993523i 0.129493 0.991580i \(-0.458665\pi\)
−0.451585 + 0.892228i \(0.649141\pi\)
\(164\) 594.199 286.151i 0.282922 0.136248i
\(165\) 4126.01 7146.46i 1.94672 3.37182i
\(166\) −2581.41 4471.14i −1.20697 2.09053i
\(167\) 96.9660 + 66.1103i 0.0449308 + 0.0306333i 0.585577 0.810617i \(-0.300868\pi\)
−0.540646 + 0.841250i \(0.681820\pi\)
\(168\) −64.8529 + 284.139i −0.0297828 + 0.130487i
\(169\) 554.696 + 83.6069i 0.252479 + 0.0380550i
\(170\) 2259.48 + 2833.30i 1.01938 + 1.27826i
\(171\) −1865.28 −0.834161
\(172\) −803.402 1547.17i −0.356156 0.685874i
\(173\) −69.6613 −0.0306142 −0.0153071 0.999883i \(-0.504873\pi\)
−0.0153071 + 0.999883i \(0.504873\pi\)
\(174\) 283.730 + 355.786i 0.123618 + 0.155012i
\(175\) 1233.32 + 185.894i 0.532746 + 0.0802985i
\(176\) 1113.50 4878.57i 0.476894 2.08941i
\(177\) −17.4529 11.8992i −0.00741153 0.00505310i
\(178\) 932.080 + 1614.41i 0.392485 + 0.679804i
\(179\) −1711.90 + 2965.11i −0.714825 + 1.23811i 0.248202 + 0.968708i \(0.420160\pi\)
−0.963027 + 0.269405i \(0.913173\pi\)
\(180\) −2031.20 + 978.172i −0.841091 + 0.405048i
\(181\) 3038.83 + 937.354i 1.24792 + 0.384934i 0.847204 0.531267i \(-0.178284\pi\)
0.400720 + 0.916201i \(0.368760\pi\)
\(182\) −70.5655 941.631i −0.0287399 0.383507i
\(183\) 883.769 + 3872.04i 0.356995 + 1.56410i
\(184\) −346.538 + 882.964i −0.138843 + 0.353766i
\(185\) 44.4167 592.700i 0.0176518 0.235547i
\(186\) 3269.86 492.852i 1.28902 0.194288i
\(187\) 2597.68 + 2410.30i 1.01584 + 0.942558i
\(188\) −1503.64 724.116i −0.583321 0.280913i
\(189\) −239.627 + 163.375i −0.0922239 + 0.0628772i
\(190\) 2295.84 + 5849.72i 0.876621 + 2.23359i
\(191\) −2030.21 + 626.238i −0.769115 + 0.237241i −0.654391 0.756157i \(-0.727075\pi\)
−0.114725 + 0.993397i \(0.536599\pi\)
\(192\) −1304.04 + 1209.97i −0.490161 + 0.454803i
\(193\) 212.294 266.209i 0.0791776 0.0992856i −0.740665 0.671874i \(-0.765489\pi\)
0.819843 + 0.572589i \(0.194061\pi\)
\(194\) −887.718 + 1113.16i −0.328528 + 0.411961i
\(195\) −3678.73 + 3413.36i −1.35097 + 1.25352i
\(196\) −1799.41 + 555.044i −0.655761 + 0.202276i
\(197\) −1580.47 4026.98i −0.571595 1.45640i −0.865669 0.500617i \(-0.833107\pi\)
0.294074 0.955783i \(-0.404989\pi\)
\(198\) −4178.32 + 2848.73i −1.49970 + 1.02248i
\(199\) 110.890 + 53.4019i 0.0395015 + 0.0190229i 0.453530 0.891241i \(-0.350164\pi\)
−0.414029 + 0.910264i \(0.635879\pi\)
\(200\) −1009.45 936.631i −0.356894 0.331149i
\(201\) 4744.59 715.131i 1.66496 0.250953i
\(202\) −44.9044 + 599.207i −0.0156409 + 0.208713i
\(203\) −39.8377 + 101.505i −0.0137737 + 0.0350948i
\(204\) −503.530 2206.11i −0.172814 0.757149i
\(205\) −143.975 1921.21i −0.0490519 0.654552i
\(206\) −1107.50 341.617i −0.374577 0.115542i
\(207\) 2520.98 1214.04i 0.846474 0.407640i
\(208\) −1521.57 + 2635.44i −0.507221 + 0.878533i
\(209\) 3072.45 + 5321.65i 1.01687 + 1.76127i
\(210\) −2393.16 1631.63i −0.786398 0.536157i
\(211\) 53.0095 232.250i 0.0172954 0.0757760i −0.965544 0.260241i \(-0.916198\pi\)
0.982839 + 0.184465i \(0.0590552\pi\)
\(212\) 2800.95 + 422.176i 0.907407 + 0.136770i
\(213\) −3022.77 3790.43i −0.972379 1.21933i
\(214\) −3655.27 −1.16761
\(215\) −5064.66 + 533.488i −1.60654 + 0.169226i
\(216\) 320.203 0.100866
\(217\) 494.034 + 619.499i 0.154549 + 0.193799i
\(218\) 4569.64 + 688.762i 1.41970 + 0.213986i
\(219\) 824.192 3611.02i 0.254309 1.11420i
\(220\) 6136.47 + 4183.78i 1.88055 + 1.28214i
\(221\) −1077.52 1866.31i −0.327971 0.568062i
\(222\) −425.675 + 737.290i −0.128691 + 0.222899i
\(223\) −302.900 + 145.869i −0.0909583 + 0.0438032i −0.478810 0.877919i \(-0.658932\pi\)
0.387851 + 0.921722i \(0.373217\pi\)
\(224\) −1354.04 417.667i −0.403888 0.124583i
\(225\) 303.566 + 4050.80i 0.0899453 + 1.20024i
\(226\) −1731.11 7584.48i −0.509521 2.23236i
\(227\) 819.575 2088.24i 0.239635 0.610580i −0.759571 0.650424i \(-0.774591\pi\)
0.999206 + 0.0398448i \(0.0126863\pi\)
\(228\) 293.234 3912.93i 0.0851749 1.13658i
\(229\) −2223.44 + 335.130i −0.641613 + 0.0967076i −0.461787 0.886991i \(-0.652792\pi\)
−0.179826 + 0.983698i \(0.557553\pi\)
\(230\) −6910.26 6411.78i −1.98108 1.83818i
\(231\) −2551.80 1228.88i −0.726824 0.350020i
\(232\) 99.4709 67.8181i 0.0281491 0.0191917i
\(233\) 972.635 + 2478.23i 0.273474 + 0.696800i 0.999954 + 0.00961245i \(0.00305978\pi\)
−0.726480 + 0.687188i \(0.758845\pi\)
\(234\) 2938.75 906.483i 0.820991 0.253242i
\(235\) −3573.87 + 3316.06i −0.992056 + 0.920494i
\(236\) 11.8535 14.8638i 0.00326947 0.00409978i
\(237\) 3020.48 3787.56i 0.827854 1.03810i
\(238\) 911.783 846.011i 0.248328 0.230415i
\(239\) 3698.74 1140.91i 1.00105 0.308784i 0.249441 0.968390i \(-0.419753\pi\)
0.751611 + 0.659607i \(0.229277\pi\)
\(240\) 3410.28 + 8689.25i 0.917219 + 2.33704i
\(241\) 905.232 617.177i 0.241955 0.164962i −0.436272 0.899815i \(-0.643701\pi\)
0.678226 + 0.734853i \(0.262749\pi\)
\(242\) 10493.7 + 5053.52i 2.78745 + 1.34237i
\(243\) −3437.42 3189.46i −0.907451 0.841992i
\(244\) −3534.62 + 532.758i −0.927381 + 0.139780i
\(245\) −411.084 + 5485.53i −0.107197 + 1.43044i
\(246\) −1008.20 + 2568.85i −0.261302 + 0.665788i
\(247\) −831.551 3643.26i −0.214212 0.938524i
\(248\) −65.3758 872.379i −0.0167394 0.223372i
\(249\) 8999.01 + 2775.83i 2.29032 + 0.706469i
\(250\) 4669.86 2248.89i 1.18139 0.568928i
\(251\) −3576.99 + 6195.53i −0.899513 + 1.55800i −0.0713954 + 0.997448i \(0.522745\pi\)
−0.828118 + 0.560554i \(0.810588\pi\)
\(252\) 386.891 + 670.116i 0.0967138 + 0.167513i
\(253\) −7616.17 5192.61i −1.89259 1.29034i
\(254\) −207.233 + 907.946i −0.0511927 + 0.224290i
\(255\) −6536.50 985.218i −1.60522 0.241948i
\(256\) 3295.59 + 4132.55i 0.804589 + 1.00892i
\(257\) −6720.05 −1.63107 −0.815535 0.578708i \(-0.803557\pi\)
−0.815535 + 0.578708i \(0.803557\pi\)
\(258\) 6867.63 + 2459.13i 1.65721 + 0.593406i
\(259\) −203.999 −0.0489416
\(260\) −2816.08 3531.26i −0.671715 0.842305i
\(261\) −351.172 52.9306i −0.0832835 0.0125530i
\(262\) 1912.80 8380.52i 0.451043 1.97615i
\(263\) 1879.89 + 1281.69i 0.440756 + 0.300502i 0.763291 0.646055i \(-0.223583\pi\)
−0.322535 + 0.946558i \(0.604535\pi\)
\(264\) 1563.51 + 2708.08i 0.364498 + 0.631330i
\(265\) 4137.35 7166.11i 0.959078 1.66117i
\(266\) 1943.26 935.825i 0.447928 0.215711i
\(267\) −3249.30 1002.28i −0.744772 0.229732i
\(268\) 322.719 + 4306.39i 0.0735568 + 0.981548i
\(269\) −803.148 3518.82i −0.182040 0.797570i −0.980658 0.195731i \(-0.937292\pi\)
0.798617 0.601839i \(-0.205565\pi\)
\(270\) −1162.60 + 2962.26i −0.262050 + 0.667694i
\(271\) −123.444 + 1647.25i −0.0276705 + 0.369238i 0.966130 + 0.258057i \(0.0830822\pi\)
−0.993800 + 0.111181i \(0.964537\pi\)
\(272\) −3963.74 + 597.437i −0.883591 + 0.133180i
\(273\) 1262.63 + 1171.55i 0.279918 + 0.259726i
\(274\) −1956.06 941.991i −0.431278 0.207693i
\(275\) 11056.9 7538.48i 2.42457 1.65304i
\(276\) 2150.47 + 5479.30i 0.468996 + 1.19498i
\(277\) 2367.64 730.319i 0.513565 0.158414i −0.0271311 0.999632i \(-0.508637\pi\)
0.540696 + 0.841218i \(0.318161\pi\)
\(278\) −5075.69 + 4709.55i −1.09503 + 1.01604i
\(279\) −1609.01 + 2017.63i −0.345264 + 0.432948i
\(280\) −477.760 + 599.092i −0.101970 + 0.127866i
\(281\) −685.992 + 636.508i −0.145633 + 0.135128i −0.749625 0.661863i \(-0.769766\pi\)
0.603992 + 0.796990i \(0.293576\pi\)
\(282\) 6673.05 2058.36i 1.40913 0.434659i
\(283\) 1242.70 + 3166.34i 0.261027 + 0.665087i 0.999962 0.00868981i \(-0.00276609\pi\)
−0.738935 + 0.673777i \(0.764671\pi\)
\(284\) 3605.24 2458.01i 0.753281 0.513578i
\(285\) −10327.5 4973.48i −2.14649 1.03370i
\(286\) −7426.85 6891.11i −1.53552 1.42475i
\(287\) −653.868 + 98.5547i −0.134483 + 0.0202700i
\(288\) 344.879 4602.09i 0.0705631 0.941599i
\(289\) −757.840 + 1930.95i −0.154252 + 0.393028i
\(290\) 266.237 + 1166.46i 0.0539103 + 0.236196i
\(291\) −194.082 2589.84i −0.0390972 0.521715i
\(292\) 3185.48 + 982.590i 0.638411 + 0.196924i
\(293\) 5673.83 2732.37i 1.13129 0.544802i 0.227929 0.973678i \(-0.426805\pi\)
0.903363 + 0.428876i \(0.141090\pi\)
\(294\) 3939.69 6823.74i 0.781521 1.35363i
\(295\) −27.7686 48.0967i −0.00548051 0.00949253i
\(296\) 186.092 + 126.875i 0.0365418 + 0.0249138i
\(297\) −692.428 + 3033.72i −0.135282 + 0.592709i
\(298\) 498.189 + 75.0900i 0.0968434 + 0.0145968i
\(299\) 3495.13 + 4382.75i 0.676015 + 0.847695i
\(300\) −8545.38 −1.64456
\(301\) 312.498 + 1719.77i 0.0598408 + 0.329321i
\(302\) −3213.08 −0.612225
\(303\) −683.385 856.938i −0.129569 0.162475i
\(304\) −6873.36 1035.99i −1.29676 0.195455i
\(305\) −2323.59 + 10180.3i −0.436225 + 1.91123i
\(306\) 3347.06 + 2281.99i 0.625291 + 0.426316i
\(307\) −4042.83 7002.38i −0.751584 1.30178i −0.947055 0.321072i \(-0.895957\pi\)
0.195470 0.980710i \(-0.437377\pi\)
\(308\) 1274.56 2207.60i 0.235795 0.408409i
\(309\) 1904.72 917.266i 0.350666 0.168872i
\(310\) 8307.93 + 2562.66i 1.52212 + 0.469513i
\(311\) 221.101 + 2950.39i 0.0403134 + 0.537945i 0.980401 + 0.197012i \(0.0631239\pi\)
−0.940088 + 0.340933i \(0.889257\pi\)
\(312\) −423.160 1853.99i −0.0767844 0.336415i
\(313\) −2288.96 + 5832.19i −0.413354 + 1.05321i 0.560925 + 0.827866i \(0.310446\pi\)
−0.974279 + 0.225343i \(0.927650\pi\)
\(314\) 180.945 2414.55i 0.0325202 0.433951i
\(315\) 2235.17 336.897i 0.399801 0.0602603i
\(316\) 3196.21 + 2965.65i 0.568989 + 0.527945i
\(317\) −3162.49 1522.97i −0.560325 0.269838i 0.132211 0.991222i \(-0.457792\pi\)
−0.692536 + 0.721383i \(0.743507\pi\)
\(318\) −9792.99 + 6676.75i −1.72693 + 1.17740i
\(319\) 427.433 + 1089.08i 0.0750208 + 0.191150i
\(320\) −4469.32 + 1378.60i −0.780758 + 0.240832i
\(321\) 4887.62 4535.05i 0.849846 0.788541i
\(322\) −2017.28 + 2529.59i −0.349126 + 0.437790i
\(323\) 3069.08 3848.50i 0.528693 0.662960i
\(324\) 3927.17 3643.88i 0.673383 0.624808i
\(325\) −7776.69 + 2398.79i −1.32730 + 0.409418i
\(326\) 965.106 + 2459.05i 0.163964 + 0.417774i
\(327\) −6964.80 + 4748.52i −1.17784 + 0.803039i
\(328\) 657.767 + 316.764i 0.110729 + 0.0533242i
\(329\) 1226.63 + 1138.15i 0.205552 + 0.190724i
\(330\) −30729.9 + 4631.79i −5.12614 + 0.772641i
\(331\) 261.212 3485.64i 0.0433762 0.578815i −0.932596 0.360921i \(-0.882462\pi\)
0.975972 0.217894i \(-0.0699187\pi\)
\(332\) −3096.58 + 7889.96i −0.511888 + 1.30427i
\(333\) −147.843 647.742i −0.0243296 0.106595i
\(334\) −33.0284 440.734i −0.00541089 0.0722032i
\(335\) 12054.9 + 3718.43i 1.96605 + 0.606447i
\(336\) 2886.55 1390.09i 0.468673 0.225701i
\(337\) −3452.05 + 5979.13i −0.557997 + 0.966480i 0.439666 + 0.898161i \(0.355097\pi\)
−0.997664 + 0.0683186i \(0.978237\pi\)
\(338\) −1056.29 1829.54i −0.169983 0.294420i
\(339\) 11724.7 + 7993.78i 1.87846 + 1.28071i
\(340\) 1323.88 5800.28i 0.211168 0.925189i
\(341\) 8406.64 + 1267.10i 1.33503 + 0.201223i
\(342\) 4379.78 + 5492.07i 0.692489 + 0.868354i
\(343\) 4014.30 0.631929
\(344\) 784.528 1763.16i 0.122962 0.276347i
\(345\) 17195.0 2.68333
\(346\) 163.569 + 205.109i 0.0254147 + 0.0318691i
\(347\) 4551.94 + 686.094i 0.704209 + 0.106142i 0.491378 0.870946i \(-0.336493\pi\)
0.212831 + 0.977089i \(0.431731\pi\)
\(348\) 166.243 728.358i 0.0256079 0.112196i
\(349\) 8715.68 + 5942.25i 1.33679 + 0.911408i 0.999550 0.0300110i \(-0.00955423\pi\)
0.337240 + 0.941419i \(0.390507\pi\)
\(350\) −2348.57 4067.85i −0.358676 0.621245i
\(351\) 946.185 1638.84i 0.143885 0.249216i
\(352\) −13697.8 + 6596.53i −2.07414 + 0.998853i
\(353\) −4071.17 1255.79i −0.613843 0.189346i −0.0277843 0.999614i \(-0.508845\pi\)
−0.586059 + 0.810268i \(0.699321\pi\)
\(354\) 5.94479 + 79.3278i 0.000892549 + 0.0119102i
\(355\) −2836.41 12427.1i −0.424059 1.85792i
\(356\) 1118.09 2848.86i 0.166457 0.424126i
\(357\) −169.549 + 2262.48i −0.0251358 + 0.335414i
\(358\) 12750.0 1921.75i 1.88229 0.283709i
\(359\) −5552.55 5152.01i −0.816302 0.757418i 0.156840 0.987624i \(-0.449869\pi\)
−0.973142 + 0.230207i \(0.926060\pi\)
\(360\) −2248.49 1082.82i −0.329183 0.158526i
\(361\) 1385.41 944.556i 0.201984 0.137710i
\(362\) −4375.42 11148.4i −0.635268 1.61864i
\(363\) −20301.5 + 6262.17i −2.93540 + 0.905452i
\(364\) −1136.39 + 1054.42i −0.163635 + 0.151831i
\(365\) 6071.68 7613.64i 0.870702 1.09183i
\(366\) 9325.58 11693.9i 1.33185 1.67008i
\(367\) 3152.17 2924.79i 0.448343 0.416002i −0.423417 0.905935i \(-0.639169\pi\)
0.871760 + 0.489933i \(0.162979\pi\)
\(368\) 9963.83 3073.43i 1.41141 0.435364i
\(369\) −786.807 2004.75i −0.111001 0.282827i
\(370\) −1849.42 + 1260.91i −0.259856 + 0.177167i
\(371\) −2558.82 1232.26i −0.358079 0.172442i
\(372\) −3979.59 3692.52i −0.554656 0.514646i
\(373\) 2772.47 417.883i 0.384861 0.0580085i 0.0462378 0.998930i \(-0.485277\pi\)
0.338624 + 0.940922i \(0.390039\pi\)
\(374\) 997.299 13308.0i 0.137885 1.83995i
\(375\) −3454.11 + 8800.92i −0.475652 + 1.21194i
\(376\) −411.098 1801.14i −0.0563851 0.247039i
\(377\) −53.1701 709.506i −0.00726366 0.0969268i
\(378\) 1043.69 + 321.937i 0.142015 + 0.0438059i
\(379\) −12050.6 + 5803.27i −1.63324 + 0.786528i −0.633322 + 0.773888i \(0.718309\pi\)
−0.999920 + 0.0126394i \(0.995977\pi\)
\(380\) 5158.35 8934.52i 0.696362 1.20613i
\(381\) −849.378 1471.17i −0.114212 0.197822i
\(382\) 6610.92 + 4507.25i 0.885456 + 0.603694i
\(383\) −224.212 + 982.336i −0.0299130 + 0.131058i −0.987680 0.156489i \(-0.949982\pi\)
0.957767 + 0.287546i \(0.0928396\pi\)
\(384\) −5797.17 873.783i −0.770406 0.116120i
\(385\) −4642.89 5822.00i −0.614607 0.770693i
\(386\) −1282.29 −0.169086
\(387\) −5234.17 + 2238.61i −0.687514 + 0.294043i
\(388\) 2337.45 0.305840
\(389\) −2963.23 3715.77i −0.386225 0.484311i 0.550272 0.834985i \(-0.314524\pi\)
−0.936497 + 0.350674i \(0.885952\pi\)
\(390\) 18688.0 + 2816.77i 2.42642 + 0.365725i
\(391\) −1643.10 + 7198.90i −0.212520 + 0.931110i
\(392\) −1722.31 1174.25i −0.221913 0.151298i
\(393\) 7839.92 + 13579.1i 1.00629 + 1.74294i
\(394\) −8145.88 + 14109.1i −1.04158 + 1.80407i
\(395\) 11475.7 5526.40i 1.46178 0.703957i
\(396\) 7933.34 + 2447.11i 1.00673 + 0.310535i
\(397\) −11.0202 147.054i −0.00139317 0.0185906i 0.996464 0.0840221i \(-0.0267766\pi\)
−0.997857 + 0.0654316i \(0.979158\pi\)
\(398\) −103.141 451.892i −0.0129900 0.0569128i
\(399\) −1437.35 + 3662.31i −0.180345 + 0.459511i
\(400\) −1131.24 + 15095.4i −0.141405 + 1.88692i
\(401\) −5242.31 + 790.151i −0.652839 + 0.0983997i −0.467107 0.884201i \(-0.654704\pi\)
−0.185732 + 0.982600i \(0.559466\pi\)
\(402\) −13246.2 12290.6i −1.64343 1.52488i
\(403\) −4658.14 2243.24i −0.575778 0.277280i
\(404\) 815.070 555.706i 0.100374 0.0684341i
\(405\) −5717.58 14568.2i −0.701503 1.78740i
\(406\) 392.409 121.042i 0.0479678 0.0147961i
\(407\) −1604.49 + 1488.75i −0.195409 + 0.181313i
\(408\) 1561.79 1958.43i 0.189511 0.237639i
\(409\) 1185.20 1486.19i 0.143286 0.179676i −0.705010 0.709198i \(-0.749057\pi\)
0.848296 + 0.529522i \(0.177629\pi\)
\(410\) −5318.68 + 4935.02i −0.640661 + 0.594447i
\(411\) 3784.25 1167.29i 0.454169 0.140093i
\(412\) 695.142 + 1771.19i 0.0831242 + 0.211797i
\(413\) −15.7495 + 10.7378i −0.00187647 + 0.00127936i
\(414\) −9493.97 4572.06i −1.12706 0.542764i
\(415\) 18150.4 + 16841.2i 2.14692 + 1.99205i
\(416\) 9142.54 1378.02i 1.07752 0.162411i
\(417\) 943.842 12594.7i 0.110840 1.47905i
\(418\) 8454.59 21542.0i 0.989301 2.52070i
\(419\) −567.969 2488.44i −0.0662222 0.290139i 0.930963 0.365113i \(-0.118970\pi\)
−0.997185 + 0.0749744i \(0.976112\pi\)
\(420\) 355.351 + 4741.83i 0.0412842 + 0.550899i
\(421\) −3497.33 1078.78i −0.404868 0.124885i 0.0856314 0.996327i \(-0.472709\pi\)
−0.490499 + 0.871442i \(0.663185\pi\)
\(422\) −808.297 + 389.256i −0.0932401 + 0.0449020i
\(423\) −2724.91 + 4719.68i −0.313214 + 0.542503i
\(424\) 1567.81 + 2715.53i 0.179575 + 0.311033i
\(425\) −8857.21 6038.74i −1.01091 0.689228i
\(426\) −4062.80 + 17800.3i −0.462074 + 2.02448i
\(427\) 3543.96 + 534.166i 0.401649 + 0.0605389i
\(428\) 3741.50 + 4691.69i 0.422552 + 0.529863i
\(429\) 18480.5 2.07983
\(430\) 13462.9 + 13659.6i 1.50986 + 1.53191i
\(431\) −11434.2 −1.27788 −0.638939 0.769257i \(-0.720626\pi\)
−0.638939 + 0.769257i \(0.720626\pi\)
\(432\) −2194.65 2752.00i −0.244421 0.306494i
\(433\) 3611.46 + 544.339i 0.400821 + 0.0604141i 0.346360 0.938102i \(-0.387418\pi\)
0.0544614 + 0.998516i \(0.482656\pi\)
\(434\) 664.013 2909.23i 0.0734416 0.321769i
\(435\) −1803.21 1229.41i −0.198753 0.135507i
\(436\) −3793.38 6570.32i −0.416674 0.721701i
\(437\) −6402.18 + 11088.9i −0.700819 + 1.21385i
\(438\) −12567.4 + 6052.15i −1.37099 + 0.660235i
\(439\) −12092.1 3729.93i −1.31464 0.405512i −0.443378 0.896335i \(-0.646220\pi\)
−0.871259 + 0.490823i \(0.836696\pi\)
\(440\) 614.397 + 8198.55i 0.0665687 + 0.888297i
\(441\) 1368.31 + 5994.96i 0.147750 + 0.647333i
\(442\) −2965.04 + 7554.81i −0.319079 + 0.812999i
\(443\) 635.123 8475.12i 0.0681165 0.908951i −0.853561 0.520993i \(-0.825562\pi\)
0.921677 0.387958i \(-0.126819\pi\)
\(444\) 1382.06 208.312i 0.147724 0.0222659i
\(445\) −6553.65 6080.89i −0.698141 0.647780i
\(446\) 1140.72 + 549.341i 0.121109 + 0.0583230i
\(447\) −759.314 + 517.691i −0.0803452 + 0.0547784i
\(448\) 586.480 + 1494.33i 0.0618495 + 0.157590i
\(449\) 573.090 176.775i 0.0602356 0.0185802i −0.264491 0.964388i \(-0.585204\pi\)
0.324727 + 0.945808i \(0.394728\pi\)
\(450\) 11214.3 10405.3i 1.17477 1.09002i
\(451\) −4423.54 + 5546.95i −0.461855 + 0.579148i
\(452\) −7963.05 + 9985.35i −0.828651 + 1.03910i
\(453\) 4296.35 3986.43i 0.445607 0.413463i
\(454\) −8072.96 + 2490.18i −0.834544 + 0.257423i
\(455\) 1654.48 + 4215.53i 0.170468 + 0.434346i
\(456\) 3588.92 2446.89i 0.368567 0.251285i
\(457\) −8742.00 4209.93i −0.894822 0.430924i −0.0708059 0.997490i \(-0.522557\pi\)
−0.824016 + 0.566567i \(0.808271\pi\)
\(458\) 6207.52 + 5759.73i 0.633315 + 0.587630i
\(459\) 2464.84 371.515i 0.250651 0.0377796i
\(460\) −1156.52 + 15432.6i −0.117223 + 1.56424i
\(461\) −5218.66 + 13296.9i −0.527239 + 1.34338i 0.380861 + 0.924632i \(0.375628\pi\)
−0.908101 + 0.418752i \(0.862468\pi\)
\(462\) 2373.49 + 10398.9i 0.239014 + 1.04719i
\(463\) −380.785 5081.22i −0.0382215 0.510031i −0.983156 0.182770i \(-0.941494\pi\)
0.944934 0.327261i \(-0.106125\pi\)
\(464\) −1264.63 390.088i −0.126528 0.0390288i
\(465\) −14288.3 + 6880.90i −1.42496 + 0.686224i
\(466\) 5013.03 8682.82i 0.498335 0.863141i
\(467\) 709.395 + 1228.71i 0.0702931 + 0.121751i 0.899030 0.437888i \(-0.144273\pi\)
−0.828737 + 0.559639i \(0.810940\pi\)
\(468\) −4171.58 2844.13i −0.412033 0.280919i
\(469\) 963.488 4221.32i 0.0948609 0.415613i
\(470\) 18155.3 + 2736.48i 1.78179 + 0.268562i
\(471\) 2753.75 + 3453.09i 0.269397 + 0.337813i
\(472\) 21.0453 0.00205231
\(473\) 15008.4 + 11245.7i 1.45896 + 1.09319i
\(474\) −18244.2 −1.76790
\(475\) −11590.0 14533.4i −1.11955 1.40387i
\(476\) −2019.18 304.343i −0.194431 0.0293057i
\(477\) 2058.27 9017.87i 0.197572 0.865618i
\(478\) −12044.1 8211.52i −1.15248 0.785745i
\(479\) −4404.16 7628.23i −0.420107 0.727647i 0.575842 0.817561i \(-0.304674\pi\)
−0.995950 + 0.0899138i \(0.971341\pi\)
\(480\) 14180.3 24560.9i 1.34841 2.33552i
\(481\) 1199.26 577.533i 0.113683 0.0547469i
\(482\) −3942.73 1216.17i −0.372586 0.114927i
\(483\) −441.037 5885.23i −0.0415484 0.554425i
\(484\) −4254.88 18641.9i −0.399595 1.75074i
\(485\) 2494.65 6356.26i 0.233559 0.595099i
\(486\) −1319.69 + 17610.1i −0.123174 + 1.64364i
\(487\) 9965.66 1502.08i 0.927284 0.139766i 0.331999 0.943280i \(-0.392277\pi\)
0.595285 + 0.803514i \(0.297039\pi\)
\(488\) −2900.65 2691.41i −0.269070 0.249661i
\(489\) −4341.40 2090.71i −0.401482 0.193344i
\(490\) 17116.7 11669.9i 1.57806 1.07591i
\(491\) 3014.50 + 7680.81i 0.277072 + 0.705968i 0.999889 + 0.0149279i \(0.00475187\pi\)
−0.722817 + 0.691040i \(0.757153\pi\)
\(492\) 4329.20 1335.38i 0.396698 0.122365i
\(493\) 687.016 637.457i 0.0627619 0.0582346i
\(494\) −8774.58 + 11003.0i −0.799164 + 1.00212i
\(495\) 15121.3 18961.6i 1.37304 1.72173i
\(496\) −7049.63 + 6541.10i −0.638181 + 0.592146i
\(497\) −4180.60 + 1289.54i −0.377315 + 0.116386i
\(498\) −12957.1 33014.2i −1.16591 2.97068i
\(499\) −10595.0 + 7223.53i −0.950494 + 0.648036i −0.936053 0.351860i \(-0.885549\pi\)
−0.0144412 + 0.999896i \(0.504597\pi\)
\(500\) −7666.56 3692.02i −0.685718 0.330224i
\(501\) 590.977 + 548.346i 0.0527004 + 0.0488988i
\(502\) 26640.9 4015.47i 2.36861 0.357010i
\(503\) −776.547 + 10362.3i −0.0688360 + 0.918553i 0.850726 + 0.525609i \(0.176162\pi\)
−0.919562 + 0.392944i \(0.871457\pi\)
\(504\) −312.937 + 797.352i −0.0276574 + 0.0704700i
\(505\) −641.252 2809.51i −0.0565057 0.247567i
\(506\) 2594.21 + 34617.3i 0.227918 + 3.04136i
\(507\) 3682.29 + 1135.84i 0.322557 + 0.0994957i
\(508\) 1377.51 663.373i 0.120309 0.0579378i
\(509\) −274.997 + 476.309i −0.0239470 + 0.0414774i −0.877751 0.479118i \(-0.840957\pi\)
0.853804 + 0.520595i \(0.174290\pi\)
\(510\) 12447.2 + 21559.2i 1.08073 + 1.87188i
\(511\) −2761.61 1882.83i −0.239073 0.162997i
\(512\) 2910.23 12750.6i 0.251202 1.10059i
\(513\) 4274.18 + 644.229i 0.367855 + 0.0554452i
\(514\) 15779.0 + 19786.3i 1.35405 + 1.69793i
\(515\) 5558.32 0.475590
\(516\) −3873.24 11332.0i −0.330446 0.966792i
\(517\) 17953.7 1.52728
\(518\) 479.001 + 600.648i 0.0406295 + 0.0509478i
\(519\) −473.190 71.3220i −0.0400207 0.00603215i
\(520\) 1112.57 4874.48i 0.0938257 0.411077i
\(521\) −9358.88 6380.78i −0.786986 0.536558i 0.101841 0.994801i \(-0.467527\pi\)
−0.888827 + 0.458242i \(0.848479\pi\)
\(522\) 668.724 + 1158.26i 0.0560713 + 0.0971184i
\(523\) −7107.96 + 12311.4i −0.594282 + 1.02933i 0.399366 + 0.916792i \(0.369230\pi\)
−0.993648 + 0.112535i \(0.964103\pi\)
\(524\) −12714.7 + 6123.06i −1.06000 + 0.510471i
\(525\) 8187.31 + 2525.45i 0.680616 + 0.209942i
\(526\) −640.325 8544.54i −0.0530789 0.708289i
\(527\) −1515.42 6639.50i −0.125262 0.548807i
\(528\) 12558.6 31998.7i 1.03512 2.63744i
\(529\) 526.145 7020.92i 0.0432436 0.577046i
\(530\) −30814.4 + 4644.52i −2.52545 + 0.380651i
\(531\) −45.5091 42.2262i −0.00371926 0.00345096i
\(532\) −3190.27 1536.35i −0.259992 0.125206i
\(533\) 3564.92 2430.52i 0.289707 0.197519i
\(534\) 4678.47 + 11920.5i 0.379133 + 0.966016i
\(535\) 16751.3 5167.09i 1.35369 0.417557i
\(536\) −3504.33 + 3251.54i −0.282395 + 0.262024i
\(537\) −14664.3 + 18388.4i −1.17842 + 1.47769i
\(538\) −8474.87 + 10627.1i −0.679140 + 0.851615i
\(539\) 14849.8 13778.6i 1.18669 1.10109i
\(540\) 4992.20 1539.89i 0.397834 0.122715i
\(541\) 1086.14 + 2767.44i 0.0863158 + 0.219929i 0.967514 0.252818i \(-0.0813575\pi\)
−0.881198 + 0.472748i \(0.843262\pi\)
\(542\) 5139.97 3504.37i 0.407344 0.277722i
\(543\) 19682.2 + 9478.46i 1.55552 + 0.749097i
\(544\) 8927.70 + 8283.70i 0.703625 + 0.652869i
\(545\) −21915.3 + 3303.20i −1.72247 + 0.259621i
\(546\) 484.746 6468.49i 0.0379949 0.507007i
\(547\) 3782.20 9636.90i 0.295640 0.753280i −0.703454 0.710740i \(-0.748360\pi\)
0.999095 0.0425391i \(-0.0135447\pi\)
\(548\) 793.123 + 3474.90i 0.0618258 + 0.270877i
\(549\) 872.296 + 11640.0i 0.0678118 + 0.904886i
\(550\) −48158.3 14854.9i −3.73359 1.15166i
\(551\) 1464.22 705.131i 0.113208 0.0545183i
\(552\) −3257.95 + 5642.93i −0.251209 + 0.435107i
\(553\) −2185.83 3785.96i −0.168085 0.291131i
\(554\) −7709.67 5256.36i −0.591250 0.403107i
\(555\) 908.539 3980.57i 0.0694871 0.304443i
\(556\) 11240.3 + 1694.21i 0.857367 + 0.129227i
\(557\) −15440.0 19361.2i −1.17453 1.47282i −0.849873 0.526988i \(-0.823321\pi\)
−0.324661 0.945830i \(-0.605250\pi\)
\(558\) 9718.69 0.737321
\(559\) −6705.86 9225.40i −0.507384 0.698019i
\(560\) 8423.46 0.635636
\(561\) 15177.6 + 19032.1i 1.14224 + 1.43233i
\(562\) 3484.86 + 525.258i 0.261566 + 0.0394247i
\(563\) −772.246 + 3383.43i −0.0578087 + 0.253276i −0.995572 0.0939975i \(-0.970035\pi\)
0.937764 + 0.347274i \(0.112893\pi\)
\(564\) −9472.45 6458.21i −0.707203 0.482163i
\(565\) 18654.7 + 32310.9i 1.38904 + 2.40589i
\(566\) 6404.96 11093.7i 0.475655 0.823858i
\(567\) −4839.50 + 2330.58i −0.358448 + 0.172619i
\(568\) 4615.65 + 1423.74i 0.340965 + 0.105174i
\(569\) −559.939 7471.86i −0.0412546 0.550504i −0.979091 0.203425i \(-0.934793\pi\)
0.937836 0.347079i \(-0.112826\pi\)
\(570\) 9605.88 + 42086.1i 0.705870 + 3.09262i
\(571\) 942.906 2402.49i 0.0691058 0.176079i −0.892148 0.451743i \(-0.850802\pi\)
0.961254 + 0.275664i \(0.0888977\pi\)
\(572\) −1242.97 + 16586.3i −0.0908590 + 1.21243i
\(573\) −14431.8 + 2175.25i −1.05218 + 0.158591i
\(574\) 1825.50 + 1693.81i 0.132744 + 0.123168i
\(575\) 25123.5 + 12098.9i 1.82213 + 0.877491i
\(576\) −4319.79 + 2945.18i −0.312484 + 0.213048i
\(577\) −6434.22 16394.1i −0.464229 1.18284i −0.950968 0.309288i \(-0.899909\pi\)
0.486740 0.873547i \(-0.338186\pi\)
\(578\) 7464.86 2302.60i 0.537193 0.165702i
\(579\) 1714.61 1590.93i 0.123069 0.114191i
\(580\) 1224.68 1535.70i 0.0876762 0.109942i
\(581\) 5298.58 6644.20i 0.378351 0.474437i
\(582\) −7169.73 + 6652.54i −0.510644 + 0.473808i
\(583\) −29118.3 + 8981.82i −2.06854 + 0.638060i
\(584\) 1348.18 + 3435.12i 0.0955278 + 0.243401i
\(585\) −12186.2 + 8308.42i −0.861262 + 0.587198i
\(586\) −21367.6 10290.1i −1.50629 0.725391i
\(587\) −12454.9 11556.5i −0.875757 0.812584i 0.107614 0.994193i \(-0.465679\pi\)
−0.983371 + 0.181609i \(0.941870\pi\)
\(588\) −12791.2 + 1927.96i −0.897107 + 0.135217i
\(589\) 882.517 11776.4i 0.0617376 0.823831i
\(590\) −76.4120 + 194.695i −0.00533192 + 0.0135855i
\(591\) −6612.75 28972.3i −0.460257 2.01652i
\(592\) −185.024 2468.97i −0.0128453 0.171409i
\(593\) 13541.9 + 4177.12i 0.937772 + 0.289264i 0.725717 0.687993i \(-0.241508\pi\)
0.212055 + 0.977258i \(0.431984\pi\)
\(594\) 10558.3 5084.59i 0.729311 0.351217i
\(595\) −2982.58 + 5165.98i −0.205502 + 0.355940i
\(596\) −413.560 716.308i −0.0284230 0.0492300i
\(597\) 698.572 + 476.278i 0.0478905 + 0.0326512i
\(598\) 4697.68 20581.9i 0.321241 1.40745i
\(599\) −18335.8 2763.68i −1.25072 0.188516i −0.509909 0.860228i \(-0.670321\pi\)
−0.740812 + 0.671712i \(0.765559\pi\)
\(600\) −5897.95 7395.79i −0.401305 0.503220i
\(601\) 14490.6 0.983499 0.491750 0.870737i \(-0.336358\pi\)
0.491750 + 0.870737i \(0.336358\pi\)
\(602\) 4329.87 4958.22i 0.293143 0.335684i
\(603\) 14101.9 0.952360
\(604\) 3288.87 + 4124.12i 0.221560 + 0.277828i
\(605\) −55234.1 8325.21i −3.71171 0.559451i
\(606\) −918.515 + 4024.28i −0.0615711 + 0.269761i
\(607\) 3808.14 + 2596.34i 0.254642 + 0.173612i 0.683912 0.729564i \(-0.260277\pi\)
−0.429271 + 0.903176i \(0.641229\pi\)
\(608\) 10559.4 + 18289.4i 0.704342 + 1.21996i
\(609\) −374.531 + 648.707i −0.0249208 + 0.0431641i
\(610\) 35430.6 17062.5i 2.35171 1.13252i
\(611\) −10433.3 3218.24i −0.690810 0.213087i
\(612\) −496.993 6631.91i −0.0328264 0.438038i
\(613\) −688.417 3016.15i −0.0453587 0.198729i 0.947172 0.320727i \(-0.103927\pi\)
−0.992530 + 0.121997i \(0.961070\pi\)
\(614\) −11124.8 + 28345.5i −0.731206 + 1.86308i
\(615\) 989.027 13197.7i 0.0648479 0.865335i
\(616\) 2790.31 420.572i 0.182508 0.0275086i
\(617\) 16161.9 + 14996.0i 1.05454 + 0.978473i 0.999799 0.0200276i \(-0.00637541\pi\)
0.0547435 + 0.998500i \(0.482566\pi\)
\(618\) −7173.16 3454.41i −0.466904 0.224849i
\(619\) 8346.67 5690.67i 0.541973 0.369511i −0.261174 0.965292i \(-0.584110\pi\)
0.803147 + 0.595781i \(0.203157\pi\)
\(620\) −5214.63 13286.7i −0.337782 0.860654i
\(621\) −6195.98 + 1911.21i −0.400380 + 0.123501i
\(622\) 8167.86 7578.67i 0.526530 0.488548i
\(623\) −1913.18 + 2399.05i −0.123033 + 0.154279i
\(624\) −13033.9 + 16344.0i −0.836175 + 1.04853i
\(625\) 214.607 199.127i 0.0137349 0.0127441i
\(626\) 22546.7 6954.74i 1.43953 0.444037i
\(627\) 15421.8 + 39294.2i 0.982279 + 2.50280i
\(628\) −3284.38 + 2239.25i −0.208696 + 0.142287i
\(629\) 1579.70 + 760.742i 0.100138 + 0.0482238i
\(630\) −6240.24 5790.10i −0.394630 0.366163i
\(631\) 19322.9 2912.46i 1.21907 0.183745i 0.492177 0.870495i \(-0.336201\pi\)
0.726894 + 0.686750i \(0.240963\pi\)
\(632\) −360.691 + 4813.09i −0.0227018 + 0.302934i
\(633\) 597.865 1523.34i 0.0375403 0.0956511i
\(634\) 2941.50 + 12887.6i 0.184262 + 0.807303i
\(635\) −333.771 4453.86i −0.0208587 0.278340i
\(636\) 18593.9 + 5735.45i 1.15927 + 0.357587i
\(637\) −11099.3 + 5345.16i −0.690380 + 0.332469i
\(638\) 2203.02 3815.74i 0.136706 0.236781i
\(639\) −7124.37 12339.8i −0.441058 0.763934i
\(640\) −12735.7 8683.03i −0.786596 0.536292i
\(641\) −3750.77 + 16433.2i −0.231118 + 1.01259i 0.717596 + 0.696459i \(0.245242\pi\)
−0.948714 + 0.316135i \(0.897615\pi\)
\(642\) −24829.3 3742.41i −1.52637 0.230064i
\(643\) −2425.41 3041.37i −0.148754 0.186532i 0.701872 0.712303i \(-0.252348\pi\)
−0.850626 + 0.525772i \(0.823777\pi\)
\(644\) 5311.69 0.325016
\(645\) −34949.1 1561.56i −2.13352 0.0953277i
\(646\) −18537.8 −1.12904
\(647\) 19297.7 + 24198.5i 1.17260 + 1.47039i 0.852286 + 0.523076i \(0.175216\pi\)
0.320310 + 0.947313i \(0.396213\pi\)
\(648\) 5864.18 + 883.882i 0.355504 + 0.0535836i
\(649\) −45.5098 + 199.392i −0.00275257 + 0.0120598i
\(650\) 25323.0 + 17264.9i 1.52808 + 1.04183i
\(651\) 2721.57 + 4713.89i 0.163850 + 0.283797i
\(652\) 2168.42 3755.81i 0.130248 0.225596i
\(653\) −26870.7 + 12940.2i −1.61031 + 0.775483i −0.999863 0.0165754i \(-0.994724\pi\)
−0.610445 + 0.792059i \(0.709009\pi\)
\(654\) 30335.1 + 9357.14i 1.81376 + 0.559470i
\(655\) 3080.77 + 41110.0i 0.183780 + 2.45237i
\(656\) −1785.84 7824.29i −0.106289 0.465682i
\(657\) 3977.01 10133.3i 0.236161 0.601729i
\(658\) 470.929 6284.10i 0.0279008 0.372310i
\(659\) −3235.29 + 487.641i −0.191243 + 0.0288252i −0.243965 0.969784i \(-0.578448\pi\)
0.0527224 + 0.998609i \(0.483210\pi\)
\(660\) 37399.9 + 34702.0i 2.20574 + 2.04663i
\(661\) 19267.2 + 9278.61i 1.13375 + 0.545985i 0.904114 0.427292i \(-0.140532\pi\)
0.229635 + 0.973277i \(0.426247\pi\)
\(662\) −10876.3 + 7415.36i −0.638551 + 0.435357i
\(663\) −5408.47 13780.6i −0.316814 0.807228i
\(664\) −8965.77 + 2765.58i −0.524005 + 0.161634i
\(665\) −7582.65 + 7035.67i −0.442169 + 0.410273i
\(666\) −1560.05 + 1956.24i −0.0907667 + 0.113818i
\(667\) −1519.99 + 1906.01i −0.0882373 + 0.110646i
\(668\) −531.892 + 493.524i −0.0308077 + 0.0285853i
\(669\) −2206.86 + 680.728i −0.127537 + 0.0393400i
\(670\) −17357.0 44225.0i −1.00084 2.55009i
\(671\) 31772.1 21661.8i 1.82794 1.24627i
\(672\) −8770.03 4223.42i −0.503439 0.242444i
\(673\) 24747.3 + 22962.2i 1.41744 + 1.31519i 0.882505 + 0.470303i \(0.155855\pi\)
0.534937 + 0.844892i \(0.320335\pi\)
\(674\) 25710.3 3875.21i 1.46933 0.221465i
\(675\) 703.460 9387.02i 0.0401128 0.535269i
\(676\) −1267.09 + 3228.48i −0.0720919 + 0.183687i
\(677\) −5204.37 22801.8i −0.295451 1.29445i −0.876822 0.480816i \(-0.840341\pi\)
0.581371 0.813639i \(-0.302517\pi\)
\(678\) −3993.66 53291.7i −0.226218 3.01867i
\(679\) −2239.50 690.796i −0.126575 0.0390432i
\(680\) 5933.71 2857.52i 0.334628 0.161148i
\(681\) 7705.17 13345.7i 0.433572 0.750969i
\(682\) −16008.4 27727.4i −0.898820 1.55680i
\(683\) −6229.71 4247.34i −0.349009 0.237950i 0.376108 0.926576i \(-0.377262\pi\)
−0.725117 + 0.688625i \(0.758214\pi\)
\(684\) 2566.20 11243.2i 0.143452 0.628503i
\(685\) 10295.8 + 1551.84i 0.574281 + 0.0865590i
\(686\) −9425.79 11819.6i −0.524604 0.657832i
\(687\) −15446.4 −0.857810
\(688\) −20530.7 + 5341.93i −1.13768 + 0.296016i
\(689\) 18531.3 1.02465
\(690\) −40374.8 50628.5i −2.22760 2.79332i
\(691\) 10298.4 + 1552.24i 0.566961 + 0.0854557i 0.426267 0.904597i \(-0.359828\pi\)
0.140694 + 0.990053i \(0.455067\pi\)
\(692\) 95.8380 419.894i 0.00526476 0.0230664i
\(693\) −6877.71 4689.14i −0.377002 0.257036i
\(694\) −8668.08 15013.6i −0.474115 0.821191i
\(695\) 16603.3 28757.8i 0.906188 1.56956i
\(696\) 745.113 358.828i 0.0405797 0.0195421i
\(697\) 5430.85 + 1675.19i 0.295133 + 0.0910366i
\(698\) −2968.73 39614.9i −0.160986 2.14820i
\(699\) 4069.53 + 17829.8i 0.220206 + 0.964784i
\(700\) −2817.27 + 7178.30i −0.152118 + 0.387592i
\(701\) −5.20328 + 69.4330i −0.000280350 + 0.00374101i −0.997342 0.0728595i \(-0.976788\pi\)
0.997062 + 0.0766005i \(0.0244066\pi\)
\(702\) −7047.05 + 1062.17i −0.378880 + 0.0571069i
\(703\) 2228.76 + 2067.99i 0.119572 + 0.110947i
\(704\) 15518.1 + 7473.11i 0.830766 + 0.400076i
\(705\) −27671.4 + 18866.0i −1.47825 + 1.00785i
\(706\) 5861.83 + 14935.7i 0.312483 + 0.796193i
\(707\) −945.146 + 291.539i −0.0502771 + 0.0155084i
\(708\) 95.7354 88.8294i 0.00508186 0.00471528i
\(709\) 18420.4 23098.5i 0.975731 1.22353i 0.00103310 0.999999i \(-0.499671\pi\)
0.974698 0.223528i \(-0.0717574\pi\)
\(710\) −29929.9 + 37531.0i −1.58204 + 1.98382i
\(711\) 10437.2 9684.27i 0.550526 0.510813i
\(712\) 3237.30 998.576i 0.170398 0.0525607i
\(713\) 6472.04 + 16490.5i 0.339944 + 0.866162i
\(714\) 7059.67 4813.20i 0.370030 0.252282i
\(715\) 43776.9 + 21081.8i 2.28974 + 1.10268i
\(716\) −15517.4 14398.1i −0.809935 0.751509i
\(717\) 26292.6 3962.97i 1.36948 0.206416i
\(718\) −2131.73 + 28446.0i −0.110801 + 1.47854i
\(719\) 6466.73 16476.9i 0.335422 0.854640i −0.659286 0.751892i \(-0.729141\pi\)
0.994707 0.102748i \(-0.0327635\pi\)
\(720\) 6104.68 + 26746.4i 0.315984 + 1.38441i
\(721\) −142.566 1902.41i −0.00736399 0.0982657i
\(722\) −6034.14 1861.28i −0.311035 0.0959416i
\(723\) 6780.88 3265.50i 0.348802 0.167974i
\(724\) −9830.77 + 17027.4i −0.504638 + 0.874058i
\(725\) −1769.62 3065.07i −0.0906509 0.157012i
\(726\) 66107.1 + 45071.1i 3.37943 + 2.30405i
\(727\) −101.092 + 442.915i −0.00515723 + 0.0225953i −0.977441 0.211208i \(-0.932260\pi\)
0.972284 + 0.233804i \(0.0751173\pi\)
\(728\) −1696.90 255.766i −0.0863889 0.0130210i
\(729\) −5497.07 6893.11i −0.279280 0.350206i
\(730\) −36674.0 −1.85940
\(731\) 3993.39 14482.6i 0.202053 0.732776i
\(732\) −24555.2 −1.23987
\(733\) 9916.76 + 12435.2i 0.499705 + 0.626611i 0.966163 0.257933i \(-0.0830414\pi\)
−0.466458 + 0.884544i \(0.654470\pi\)
\(734\) −16013.1 2413.59i −0.805252 0.121372i
\(735\) −8408.67 + 36840.8i −0.421985 + 1.84884i
\(736\) −26175.2 17846.0i −1.31091 0.893765i
\(737\) −23228.4 40232.7i −1.16096 2.01084i
\(738\) −4055.26 + 7023.91i −0.202271 + 0.350344i
\(739\) −6068.64 + 2922.50i −0.302082 + 0.145475i −0.578784 0.815481i \(-0.696473\pi\)
0.276702 + 0.960956i \(0.410758\pi\)
\(740\) 3511.48 + 1083.15i 0.174438 + 0.0538071i
\(741\) −1918.38 25599.1i −0.0951061 1.26910i
\(742\) 2380.01 + 10427.5i 0.117753 + 0.515912i
\(743\) −12269.9 + 31263.3i −0.605841 + 1.54366i 0.217470 + 0.976067i \(0.430220\pi\)
−0.823311 + 0.567591i \(0.807876\pi\)
\(744\) 449.096 5992.77i 0.0221299 0.295303i
\(745\) −2389.24 + 360.120i −0.117497 + 0.0177098i
\(746\) −7740.32 7181.97i −0.379884 0.352481i
\(747\) 24936.8 + 12008.9i 1.22141 + 0.588199i
\(748\) −18102.2 + 12341.9i −0.884870 + 0.603294i
\(749\) −2198.16 5600.83i −0.107235 0.273231i
\(750\) 34023.6 10494.9i 1.65649 0.510959i
\(751\) −19593.3 + 18180.0i −0.952026 + 0.883351i −0.993273 0.115798i \(-0.963057\pi\)
0.0412471 + 0.999149i \(0.486867\pi\)
\(752\) −12662.4 + 15878.1i −0.614028 + 0.769966i
\(753\) −30640.8 + 38422.3i −1.48288 + 1.85948i
\(754\) −1964.20 + 1822.51i −0.0948699 + 0.0880264i
\(755\) 14724.8 4542.01i 0.709790 0.218941i
\(756\) −655.095 1669.15i −0.0315153 0.0802997i
\(757\) 7031.67 4794.11i 0.337610 0.230178i