Properties

Label 63.4.h.a.25.4
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.4

$q$-expansion

\(f(q)\) \(=\) \(q-4.30573 q^{2} +(0.221854 + 5.19141i) q^{3} +10.5394 q^{4} +(7.99829 - 13.8535i) q^{5} +(-0.955246 - 22.3529i) q^{6} +(1.84582 + 18.4280i) q^{7} -10.9338 q^{8} +(-26.9016 + 2.30348i) q^{9} +O(q^{10})\) \(q-4.30573 q^{2} +(0.221854 + 5.19141i) q^{3} +10.5394 q^{4} +(7.99829 - 13.8535i) q^{5} +(-0.955246 - 22.3529i) q^{6} +(1.84582 + 18.4280i) q^{7} -10.9338 q^{8} +(-26.9016 + 2.30348i) q^{9} +(-34.4385 + 59.6493i) q^{10} +(6.17419 + 10.6940i) q^{11} +(2.33820 + 54.7141i) q^{12} +(35.8182 + 62.0390i) q^{13} +(-7.94761 - 79.3463i) q^{14} +(73.6935 + 38.4490i) q^{15} -37.2369 q^{16} +(-42.2423 + 73.1658i) q^{17} +(115.831 - 9.91815i) q^{18} +(13.6505 + 23.6434i) q^{19} +(84.2968 - 146.006i) q^{20} +(-95.2581 + 13.6708i) q^{21} +(-26.5844 - 46.0455i) q^{22} +(20.2699 - 35.1085i) q^{23} +(-2.42570 - 56.7617i) q^{24} +(-65.4454 - 113.355i) q^{25} +(-154.224 - 267.123i) q^{26} +(-17.9265 - 139.146i) q^{27} +(19.4537 + 194.220i) q^{28} +(-99.2642 + 171.931i) q^{29} +(-317.304 - 165.551i) q^{30} +292.232 q^{31} +247.802 q^{32} +(-54.1472 + 34.4253i) q^{33} +(181.884 - 315.033i) q^{34} +(270.055 + 121.822i) q^{35} +(-283.525 + 24.2771i) q^{36} +(58.7266 + 101.717i) q^{37} +(-58.7754 - 101.802i) q^{38} +(-314.124 + 199.711i) q^{39} +(-87.4515 + 151.470i) q^{40} +(-18.6085 - 32.2308i) q^{41} +(410.156 - 58.8626i) q^{42} +(122.917 - 212.898i) q^{43} +(65.0719 + 112.708i) q^{44} +(-183.256 + 391.103i) q^{45} +(-87.2767 + 151.168i) q^{46} +91.6808 q^{47} +(-8.26117 - 193.312i) q^{48} +(-336.186 + 68.0297i) q^{49} +(281.791 + 488.076i) q^{50} +(-389.206 - 203.065i) q^{51} +(377.501 + 653.851i) q^{52} +(85.8330 - 148.667i) q^{53} +(77.1869 + 599.126i) q^{54} +197.532 q^{55} +(-20.1818 - 201.488i) q^{56} +(-119.714 + 76.1108i) q^{57} +(427.405 - 740.287i) q^{58} -102.569 q^{59} +(776.681 + 405.228i) q^{60} -581.105 q^{61} -1258.27 q^{62} +(-92.1040 - 491.491i) q^{63} -769.076 q^{64} +1145.94 q^{65} +(233.144 - 148.226i) q^{66} -103.147 q^{67} +(-445.207 + 771.120i) q^{68} +(186.759 + 97.4404i) q^{69} +(-1162.79 - 524.533i) q^{70} -204.144 q^{71} +(294.135 - 25.1857i) q^{72} +(580.785 - 1005.95i) q^{73} +(-252.861 - 437.968i) q^{74} +(573.952 - 364.903i) q^{75} +(143.867 + 249.186i) q^{76} +(-185.673 + 133.517i) q^{77} +(1352.53 - 859.902i) q^{78} +621.055 q^{79} +(-297.832 + 515.860i) q^{80} +(718.388 - 123.934i) q^{81} +(80.1231 + 138.777i) q^{82} +(67.9652 - 117.719i) q^{83} +(-1003.96 + 144.081i) q^{84} +(675.733 + 1170.40i) q^{85} +(-529.246 + 916.681i) q^{86} +(-914.585 - 477.178i) q^{87} +(-67.5071 - 116.926i) q^{88} +(-710.607 - 1230.81i) q^{89} +(789.050 - 1683.99i) q^{90} +(-1077.14 + 774.573i) q^{91} +(213.631 - 370.020i) q^{92} +(64.8329 + 1517.10i) q^{93} -394.753 q^{94} +436.723 q^{95} +(54.9760 + 1286.44i) q^{96} +(-559.262 + 968.670i) q^{97} +(1447.53 - 292.918i) q^{98} +(-190.729 - 273.463i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.30573 −1.52231 −0.761154 0.648572i \(-0.775367\pi\)
−0.761154 + 0.648572i \(0.775367\pi\)
\(3\) 0.221854 + 5.19141i 0.0426959 + 0.999088i
\(4\) 10.5394 1.31742
\(5\) 7.99829 13.8535i 0.715389 1.23909i −0.247420 0.968908i \(-0.579583\pi\)
0.962809 0.270182i \(-0.0870839\pi\)
\(6\) −0.955246 22.3529i −0.0649963 1.52092i
\(7\) 1.84582 + 18.4280i 0.0996649 + 0.995021i
\(8\) −10.9338 −0.483209
\(9\) −26.9016 + 2.30348i −0.996354 + 0.0853139i
\(10\) −34.4385 + 59.6493i −1.08904 + 1.88628i
\(11\) 6.17419 + 10.6940i 0.169235 + 0.293124i 0.938151 0.346226i \(-0.112537\pi\)
−0.768916 + 0.639350i \(0.779204\pi\)
\(12\) 2.33820 + 54.7141i 0.0562484 + 1.31622i
\(13\) 35.8182 + 62.0390i 0.764168 + 1.32358i 0.940685 + 0.339281i \(0.110184\pi\)
−0.176517 + 0.984298i \(0.556483\pi\)
\(14\) −7.94761 79.3463i −0.151721 1.51473i
\(15\) 73.6935 + 38.4490i 1.26850 + 0.661833i
\(16\) −37.2369 −0.581827
\(17\) −42.2423 + 73.1658i −0.602663 + 1.04384i 0.389753 + 0.920919i \(0.372560\pi\)
−0.992416 + 0.122923i \(0.960773\pi\)
\(18\) 115.831 9.91815i 1.51676 0.129874i
\(19\) 13.6505 + 23.6434i 0.164823 + 0.285482i 0.936592 0.350421i \(-0.113961\pi\)
−0.771769 + 0.635903i \(0.780628\pi\)
\(20\) 84.2968 146.006i 0.942467 1.63240i
\(21\) −95.2581 + 13.6708i −0.989858 + 0.142057i
\(22\) −26.5844 46.0455i −0.257628 0.446225i
\(23\) 20.2699 35.1085i 0.183764 0.318288i −0.759396 0.650629i \(-0.774505\pi\)
0.943159 + 0.332341i \(0.107839\pi\)
\(24\) −2.42570 56.7617i −0.0206310 0.482768i
\(25\) −65.4454 113.355i −0.523563 0.906838i
\(26\) −154.224 267.123i −1.16330 2.01489i
\(27\) −17.9265 139.146i −0.127776 0.991803i
\(28\) 19.4537 + 194.220i 0.131300 + 1.31086i
\(29\) −99.2642 + 171.931i −0.635617 + 1.10092i 0.350767 + 0.936463i \(0.385921\pi\)
−0.986384 + 0.164458i \(0.947412\pi\)
\(30\) −317.304 165.551i −1.93105 1.00751i
\(31\) 292.232 1.69311 0.846555 0.532301i \(-0.178673\pi\)
0.846555 + 0.532301i \(0.178673\pi\)
\(32\) 247.802 1.36893
\(33\) −54.1472 + 34.4253i −0.285631 + 0.181596i
\(34\) 181.884 315.033i 0.917438 1.58905i
\(35\) 270.055 + 121.822i 1.30422 + 0.588334i
\(36\) −283.525 + 24.2771i −1.31262 + 0.112394i
\(37\) 58.7266 + 101.717i 0.260935 + 0.451952i 0.966491 0.256702i \(-0.0826359\pi\)
−0.705556 + 0.708654i \(0.749303\pi\)
\(38\) −58.7754 101.802i −0.250911 0.434591i
\(39\) −314.124 + 199.711i −1.28974 + 0.819983i
\(40\) −87.4515 + 151.470i −0.345682 + 0.598739i
\(41\) −18.6085 32.2308i −0.0708818 0.122771i 0.828406 0.560128i \(-0.189248\pi\)
−0.899288 + 0.437357i \(0.855915\pi\)
\(42\) 410.156 58.8626i 1.50687 0.216255i
\(43\) 122.917 212.898i 0.435921 0.755037i −0.561449 0.827511i \(-0.689756\pi\)
0.997370 + 0.0724738i \(0.0230894\pi\)
\(44\) 65.0719 + 112.708i 0.222954 + 0.386167i
\(45\) −183.256 + 391.103i −0.607069 + 1.29561i
\(46\) −87.2767 + 151.168i −0.279745 + 0.484532i
\(47\) 91.6808 0.284532 0.142266 0.989828i \(-0.454561\pi\)
0.142266 + 0.989828i \(0.454561\pi\)
\(48\) −8.26117 193.312i −0.0248416 0.581296i
\(49\) −336.186 + 68.0297i −0.980134 + 0.198337i
\(50\) 281.791 + 488.076i 0.797024 + 1.38049i
\(51\) −389.206 203.065i −1.06862 0.557545i
\(52\) 377.501 + 653.851i 1.00673 + 1.74371i
\(53\) 85.8330 148.667i 0.222454 0.385302i −0.733098 0.680123i \(-0.761927\pi\)
0.955553 + 0.294821i \(0.0952599\pi\)
\(54\) 77.1869 + 599.126i 0.194515 + 1.50983i
\(55\) 197.532 0.484276
\(56\) −20.1818 201.488i −0.0481589 0.480803i
\(57\) −119.714 + 76.1108i −0.278184 + 0.176862i
\(58\) 427.405 740.287i 0.967604 1.67594i
\(59\) −102.569 −0.226329 −0.113164 0.993576i \(-0.536099\pi\)
−0.113164 + 0.993576i \(0.536099\pi\)
\(60\) 776.681 + 405.228i 1.67115 + 0.871911i
\(61\) −581.105 −1.21972 −0.609859 0.792510i \(-0.708774\pi\)
−0.609859 + 0.792510i \(0.708774\pi\)
\(62\) −1258.27 −2.57743
\(63\) −92.1040 491.491i −0.184191 0.982891i
\(64\) −769.076 −1.50210
\(65\) 1145.94 2.18671
\(66\) 233.144 148.226i 0.434818 0.276445i
\(67\) −103.147 −0.188081 −0.0940406 0.995568i \(-0.529978\pi\)
−0.0940406 + 0.995568i \(0.529978\pi\)
\(68\) −445.207 + 771.120i −0.793959 + 1.37518i
\(69\) 186.759 + 97.4404i 0.325843 + 0.170006i
\(70\) −1162.79 524.533i −1.98542 0.895624i
\(71\) −204.144 −0.341231 −0.170616 0.985338i \(-0.554576\pi\)
−0.170616 + 0.985338i \(0.554576\pi\)
\(72\) 294.135 25.1857i 0.481447 0.0412244i
\(73\) 580.785 1005.95i 0.931174 1.61284i 0.149856 0.988708i \(-0.452119\pi\)
0.781318 0.624133i \(-0.214548\pi\)
\(74\) −252.861 437.968i −0.397223 0.688010i
\(75\) 573.952 364.903i 0.883657 0.561804i
\(76\) 143.867 + 249.186i 0.217141 + 0.376099i
\(77\) −185.673 + 133.517i −0.274798 + 0.197607i
\(78\) 1352.53 859.902i 1.96339 1.24827i
\(79\) 621.055 0.884482 0.442241 0.896896i \(-0.354184\pi\)
0.442241 + 0.896896i \(0.354184\pi\)
\(80\) −297.832 + 515.860i −0.416232 + 0.720936i
\(81\) 718.388 123.934i 0.985443 0.170006i
\(82\) 80.1231 + 138.777i 0.107904 + 0.186895i
\(83\) 67.9652 117.719i 0.0898813 0.155679i −0.817579 0.575816i \(-0.804685\pi\)
0.907461 + 0.420137i \(0.138018\pi\)
\(84\) −1003.96 + 144.081i −1.30406 + 0.187149i
\(85\) 675.733 + 1170.40i 0.862277 + 1.49351i
\(86\) −529.246 + 916.681i −0.663606 + 1.14940i
\(87\) −914.585 477.178i −1.12706 0.588033i
\(88\) −67.5071 116.926i −0.0817759 0.141640i
\(89\) −710.607 1230.81i −0.846339 1.46590i −0.884453 0.466630i \(-0.845468\pi\)
0.0381134 0.999273i \(-0.487865\pi\)
\(90\) 789.050 1683.99i 0.924146 1.97231i
\(91\) −1077.14 + 774.573i −1.24083 + 0.892278i
\(92\) 213.631 370.020i 0.242094 0.419318i
\(93\) 64.8329 + 1517.10i 0.0722888 + 1.69157i
\(94\) −394.753 −0.433146
\(95\) 436.723 0.471651
\(96\) 54.9760 + 1286.44i 0.0584476 + 1.36768i
\(97\) −559.262 + 968.670i −0.585407 + 1.01395i 0.409418 + 0.912347i \(0.365732\pi\)
−0.994825 + 0.101607i \(0.967602\pi\)
\(98\) 1447.53 292.918i 1.49206 0.301930i
\(99\) −190.729 273.463i −0.193626 0.277617i
\(100\) −689.752 1194.69i −0.689752 1.19469i
\(101\) −483.103 836.759i −0.475946 0.824362i 0.523674 0.851918i \(-0.324561\pi\)
−0.999620 + 0.0275561i \(0.991228\pi\)
\(102\) 1675.82 + 874.345i 1.62677 + 0.848755i
\(103\) 385.116 667.040i 0.368413 0.638111i −0.620904 0.783886i \(-0.713234\pi\)
0.989318 + 0.145776i \(0.0465678\pi\)
\(104\) −391.628 678.320i −0.369253 0.639565i
\(105\) −572.515 + 1429.00i −0.532112 + 1.32815i
\(106\) −369.574 + 640.121i −0.338644 + 0.586548i
\(107\) 638.529 + 1105.96i 0.576905 + 0.999230i 0.995832 + 0.0912094i \(0.0290732\pi\)
−0.418926 + 0.908020i \(0.637593\pi\)
\(108\) −188.934 1466.51i −0.168335 1.30662i
\(109\) 496.710 860.327i 0.436479 0.756003i −0.560936 0.827859i \(-0.689559\pi\)
0.997415 + 0.0718556i \(0.0228921\pi\)
\(110\) −850.520 −0.737217
\(111\) −515.028 + 327.440i −0.440399 + 0.279993i
\(112\) −68.7326 686.203i −0.0579877 0.578930i
\(113\) −172.393 298.593i −0.143516 0.248577i 0.785302 0.619113i \(-0.212508\pi\)
−0.928818 + 0.370535i \(0.879174\pi\)
\(114\) 515.457 327.713i 0.423482 0.269238i
\(115\) −324.249 561.615i −0.262925 0.455399i
\(116\) −1046.18 + 1812.04i −0.837374 + 1.45037i
\(117\) −1106.47 1586.44i −0.874302 1.25356i
\(118\) 441.637 0.344542
\(119\) −1426.28 643.393i −1.09871 0.495628i
\(120\) −805.747 420.393i −0.612953 0.319803i
\(121\) 589.259 1020.63i 0.442719 0.766812i
\(122\) 2502.08 1.85679
\(123\) 163.195 103.755i 0.119633 0.0760589i
\(124\) 3079.94 2.23053
\(125\) −94.2335 −0.0674280
\(126\) 396.575 + 2116.23i 0.280395 + 1.49626i
\(127\) 1096.49 0.766121 0.383060 0.923723i \(-0.374870\pi\)
0.383060 + 0.923723i \(0.374870\pi\)
\(128\) 1329.02 0.917732
\(129\) 1132.51 + 590.879i 0.772961 + 0.403287i
\(130\) −4934.11 −3.32885
\(131\) 218.366 378.221i 0.145639 0.252255i −0.783972 0.620796i \(-0.786809\pi\)
0.929611 + 0.368542i \(0.120143\pi\)
\(132\) −570.677 + 362.820i −0.376296 + 0.239238i
\(133\) −410.505 + 295.193i −0.267634 + 0.192455i
\(134\) 444.125 0.286317
\(135\) −2071.04 864.587i −1.32034 0.551199i
\(136\) 461.868 799.978i 0.291212 0.504394i
\(137\) 1134.52 + 1965.04i 0.707506 + 1.22544i 0.965779 + 0.259365i \(0.0835132\pi\)
−0.258273 + 0.966072i \(0.583153\pi\)
\(138\) −804.137 419.552i −0.496034 0.258802i
\(139\) 315.251 + 546.031i 0.192369 + 0.333192i 0.946035 0.324065i \(-0.105050\pi\)
−0.753666 + 0.657257i \(0.771716\pi\)
\(140\) 2846.21 + 1283.92i 1.71820 + 0.775082i
\(141\) 20.3398 + 475.953i 0.0121484 + 0.284273i
\(142\) 878.989 0.519459
\(143\) −442.297 + 766.081i −0.258648 + 0.447992i
\(144\) 1001.73 85.7743i 0.579705 0.0496379i
\(145\) 1587.89 + 2750.30i 0.909427 + 1.57517i
\(146\) −2500.70 + 4331.35i −1.41753 + 2.45524i
\(147\) −427.755 1730.19i −0.240004 0.970772i
\(148\) 618.940 + 1072.04i 0.343760 + 0.595410i
\(149\) −721.803 + 1250.20i −0.396862 + 0.687385i −0.993337 0.115247i \(-0.963234\pi\)
0.596475 + 0.802632i \(0.296567\pi\)
\(150\) −2471.29 + 1571.17i −1.34520 + 0.855239i
\(151\) 330.218 + 571.955i 0.177965 + 0.308245i 0.941184 0.337896i \(-0.109715\pi\)
−0.763218 + 0.646141i \(0.776382\pi\)
\(152\) −149.251 258.511i −0.0796440 0.137947i
\(153\) 967.849 2065.58i 0.511411 1.09145i
\(154\) 799.459 574.890i 0.418326 0.300818i
\(155\) 2337.36 4048.42i 1.21123 2.09792i
\(156\) −3310.66 + 2104.82i −1.69913 + 1.08026i
\(157\) −1992.11 −1.01266 −0.506331 0.862339i \(-0.668999\pi\)
−0.506331 + 0.862339i \(0.668999\pi\)
\(158\) −2674.10 −1.34645
\(159\) 790.835 + 412.612i 0.394449 + 0.205801i
\(160\) 1982.00 3432.92i 0.979316 1.69622i
\(161\) 684.395 + 308.730i 0.335018 + 0.151126i
\(162\) −3093.19 + 533.628i −1.50015 + 0.258801i
\(163\) 187.561 + 324.866i 0.0901285 + 0.156107i 0.907565 0.419911i \(-0.137939\pi\)
−0.817437 + 0.576019i \(0.804606\pi\)
\(164\) −196.121 339.692i −0.0933810 0.161741i
\(165\) 43.8233 + 1025.47i 0.0206766 + 0.483835i
\(166\) −292.640 + 506.867i −0.136827 + 0.236991i
\(167\) −1404.71 2433.03i −0.650896 1.12738i −0.982906 0.184109i \(-0.941060\pi\)
0.332010 0.943276i \(-0.392273\pi\)
\(168\) 1041.53 149.473i 0.478308 0.0686433i
\(169\) −1467.39 + 2541.60i −0.667907 + 1.15685i
\(170\) −2909.53 5039.45i −1.31265 2.27358i
\(171\) −421.682 604.600i −0.188578 0.270379i
\(172\) 1295.46 2243.80i 0.574291 0.994700i
\(173\) 663.878 0.291756 0.145878 0.989303i \(-0.453399\pi\)
0.145878 + 0.989303i \(0.453399\pi\)
\(174\) 3937.96 + 2054.60i 1.71572 + 0.895166i
\(175\) 1968.11 1415.26i 0.850142 0.611337i
\(176\) −229.908 398.212i −0.0984655 0.170547i
\(177\) −22.7555 532.481i −0.00966332 0.226123i
\(178\) 3059.69 + 5299.53i 1.28839 + 2.23155i
\(179\) 2169.02 3756.85i 0.905698 1.56872i 0.0857207 0.996319i \(-0.472681\pi\)
0.819977 0.572396i \(-0.193986\pi\)
\(180\) −1931.39 + 4121.98i −0.799765 + 1.70686i
\(181\) −523.330 −0.214911 −0.107455 0.994210i \(-0.534270\pi\)
−0.107455 + 0.994210i \(0.534270\pi\)
\(182\) 4637.89 3335.10i 1.88892 1.35832i
\(183\) −128.921 3016.75i −0.0520770 1.21861i
\(184\) −221.626 + 383.868i −0.0887962 + 0.153799i
\(185\) 1878.85 0.746680
\(186\) −279.153 6532.22i −0.110046 2.57508i
\(187\) −1043.25 −0.407967
\(188\) 966.256 0.374848
\(189\) 2531.10 587.189i 0.974130 0.225988i
\(190\) −1880.41 −0.717997
\(191\) −2934.87 −1.11183 −0.555916 0.831239i \(-0.687632\pi\)
−0.555916 + 0.831239i \(0.687632\pi\)
\(192\) −170.623 3992.59i −0.0641336 1.50073i
\(193\) −1574.06 −0.587065 −0.293533 0.955949i \(-0.594831\pi\)
−0.293533 + 0.955949i \(0.594831\pi\)
\(194\) 2408.03 4170.84i 0.891169 1.54355i
\(195\) 254.232 + 5949.04i 0.0933636 + 2.18472i
\(196\) −3543.18 + 716.989i −1.29125 + 0.261293i
\(197\) −9.28789 −0.00335906 −0.00167953 0.999999i \(-0.500535\pi\)
−0.00167953 + 0.999999i \(0.500535\pi\)
\(198\) 821.227 + 1177.46i 0.294758 + 0.422619i
\(199\) −1767.58 + 3061.55i −0.629652 + 1.09059i 0.357969 + 0.933733i \(0.383469\pi\)
−0.987621 + 0.156856i \(0.949864\pi\)
\(200\) 715.565 + 1239.40i 0.252990 + 0.438192i
\(201\) −22.8837 535.480i −0.00803030 0.187910i
\(202\) 2080.11 + 3602.86i 0.724536 + 1.25493i
\(203\) −3351.57 1511.89i −1.15879 0.522729i
\(204\) −4101.98 2140.18i −1.40782 0.734521i
\(205\) −595.344 −0.202832
\(206\) −1658.21 + 2872.10i −0.560838 + 0.971400i
\(207\) −464.420 + 991.163i −0.155939 + 0.332805i
\(208\) −1333.76 2310.14i −0.444613 0.770093i
\(209\) −168.561 + 291.957i −0.0557877 + 0.0966272i
\(210\) 2465.10 6152.88i 0.810038 2.02185i
\(211\) 435.806 + 754.838i 0.142190 + 0.246280i 0.928321 0.371779i \(-0.121252\pi\)
−0.786131 + 0.618060i \(0.787919\pi\)
\(212\) 904.624 1566.86i 0.293065 0.507604i
\(213\) −45.2902 1059.79i −0.0145692 0.340920i
\(214\) −2749.33 4761.99i −0.878227 1.52113i
\(215\) −1966.25 3405.64i −0.623706 1.08029i
\(216\) 196.004 + 1521.39i 0.0617427 + 0.479248i
\(217\) 539.407 + 5385.26i 0.168744 + 1.68468i
\(218\) −2138.70 + 3704.34i −0.664455 + 1.15087i
\(219\) 5351.15 + 2791.92i 1.65113 + 0.861463i
\(220\) 2081.86 0.637994
\(221\) −6052.18 −1.84214
\(222\) 2217.58 1409.87i 0.670423 0.426236i
\(223\) 1217.61 2108.95i 0.365636 0.633300i −0.623242 0.782029i \(-0.714185\pi\)
0.988878 + 0.148729i \(0.0475181\pi\)
\(224\) 457.398 + 4566.51i 0.136434 + 1.36211i
\(225\) 2021.69 + 2898.67i 0.599020 + 0.858865i
\(226\) 742.276 + 1285.66i 0.218476 + 0.378411i
\(227\) −144.839 250.869i −0.0423494 0.0733513i 0.844074 0.536227i \(-0.180151\pi\)
−0.886423 + 0.462876i \(0.846818\pi\)
\(228\) −1261.71 + 802.158i −0.366485 + 0.233001i
\(229\) 2452.29 4247.50i 0.707651 1.22569i −0.258075 0.966125i \(-0.583088\pi\)
0.965726 0.259563i \(-0.0835784\pi\)
\(230\) 1396.13 + 2418.17i 0.400252 + 0.693258i
\(231\) −734.336 934.285i −0.209159 0.266110i
\(232\) 1085.33 1879.85i 0.307136 0.531975i
\(233\) 2698.04 + 4673.15i 0.758604 + 1.31394i 0.943563 + 0.331194i \(0.107451\pi\)
−0.184959 + 0.982746i \(0.559215\pi\)
\(234\) 4764.17 + 6830.79i 1.33096 + 1.90830i
\(235\) 733.290 1270.10i 0.203551 0.352561i
\(236\) −1081.02 −0.298170
\(237\) 137.784 + 3224.15i 0.0377638 + 0.883676i
\(238\) 6141.16 + 2770.28i 1.67257 + 0.754498i
\(239\) 1692.03 + 2930.68i 0.457943 + 0.793181i 0.998852 0.0479004i \(-0.0152530\pi\)
−0.540909 + 0.841081i \(0.681920\pi\)
\(240\) −2744.12 1431.72i −0.738050 0.385072i
\(241\) −2611.16 4522.66i −0.697923 1.20884i −0.969185 0.246332i \(-0.920774\pi\)
0.271262 0.962505i \(-0.412559\pi\)
\(242\) −2537.19 + 4394.55i −0.673954 + 1.16732i
\(243\) 802.771 + 3701.95i 0.211925 + 0.977286i
\(244\) −6124.47 −1.60688
\(245\) −1746.47 + 5201.46i −0.455419 + 1.35636i
\(246\) −702.674 + 446.740i −0.182117 + 0.115785i
\(247\) −977.873 + 1693.73i −0.251905 + 0.436313i
\(248\) −3195.20 −0.818126
\(249\) 626.207 + 326.719i 0.159375 + 0.0831525i
\(250\) 405.744 0.102646
\(251\) 2776.49 0.698208 0.349104 0.937084i \(-0.386486\pi\)
0.349104 + 0.937084i \(0.386486\pi\)
\(252\) −970.716 5180.00i −0.242656 1.29488i
\(253\) 500.600 0.124397
\(254\) −4721.17 −1.16627
\(255\) −5926.14 + 3767.67i −1.45533 + 0.925257i
\(256\) 430.208 0.105031
\(257\) −841.709 + 1457.88i −0.204297 + 0.353853i −0.949909 0.312528i \(-0.898824\pi\)
0.745611 + 0.666381i \(0.232158\pi\)
\(258\) −4876.29 2544.17i −1.17668 0.613926i
\(259\) −1766.05 + 1269.97i −0.423696 + 0.304679i
\(260\) 12077.5 2.88081
\(261\) 2274.32 4853.85i 0.539376 1.15113i
\(262\) −940.227 + 1628.52i −0.221708 + 0.384009i
\(263\) 3723.30 + 6448.94i 0.872959 + 1.51201i 0.858921 + 0.512109i \(0.171136\pi\)
0.0140388 + 0.999901i \(0.495531\pi\)
\(264\) 592.033 376.398i 0.138019 0.0877488i
\(265\) −1373.04 2378.17i −0.318283 0.551282i
\(266\) 1767.52 1271.02i 0.407420 0.292976i
\(267\) 6231.98 3962.12i 1.42843 0.908156i
\(268\) −1087.11 −0.247782
\(269\) 3697.25 6403.83i 0.838013 1.45148i −0.0535400 0.998566i \(-0.517050\pi\)
0.891553 0.452916i \(-0.149616\pi\)
\(270\) 8917.33 + 3722.68i 2.00997 + 0.839094i
\(271\) 614.965 + 1065.15i 0.137847 + 0.238757i 0.926681 0.375848i \(-0.122649\pi\)
−0.788835 + 0.614606i \(0.789315\pi\)
\(272\) 1572.97 2724.47i 0.350645 0.607335i
\(273\) −4260.10 5420.06i −0.944443 1.20160i
\(274\) −4884.93 8460.95i −1.07704 1.86549i
\(275\) 808.144 1399.75i 0.177211 0.306938i
\(276\) 1968.32 + 1026.96i 0.429272 + 0.223970i
\(277\) −865.305 1498.75i −0.187694 0.325095i 0.756787 0.653661i \(-0.226768\pi\)
−0.944481 + 0.328566i \(0.893435\pi\)
\(278\) −1357.39 2351.06i −0.292844 0.507221i
\(279\) −7861.50 + 673.149i −1.68694 + 0.144446i
\(280\) −2952.72 1331.97i −0.630211 0.284288i
\(281\) −2590.08 + 4486.16i −0.549863 + 0.952391i 0.448420 + 0.893823i \(0.351987\pi\)
−0.998283 + 0.0585679i \(0.981347\pi\)
\(282\) −87.5777 2049.33i −0.0184935 0.432751i
\(283\) 4630.21 0.972570 0.486285 0.873800i \(-0.338352\pi\)
0.486285 + 0.873800i \(0.338352\pi\)
\(284\) −2151.54 −0.449544
\(285\) 96.8888 + 2267.21i 0.0201375 + 0.471221i
\(286\) 1904.41 3298.54i 0.393742 0.681982i
\(287\) 559.603 402.410i 0.115095 0.0827648i
\(288\) −6666.27 + 570.807i −1.36394 + 0.116789i
\(289\) −1112.33 1926.61i −0.226405 0.392145i
\(290\) −6837.02 11842.1i −1.38443 2.39790i
\(291\) −5152.84 2688.46i −1.03802 0.541581i
\(292\) 6121.09 10602.0i 1.22675 2.12479i
\(293\) 2109.17 + 3653.19i 0.420543 + 0.728401i 0.995993 0.0894358i \(-0.0285064\pi\)
−0.575450 + 0.817837i \(0.695173\pi\)
\(294\) 1841.80 + 7449.73i 0.365360 + 1.47781i
\(295\) −820.381 + 1420.94i −0.161913 + 0.280442i
\(296\) −642.103 1112.15i −0.126086 0.218387i
\(297\) 1377.35 1050.82i 0.269097 0.205302i
\(298\) 3107.89 5383.03i 0.604145 1.04641i
\(299\) 2904.12 0.561705
\(300\) 6049.08 3845.84i 1.16415 0.740131i
\(301\) 4150.17 + 1872.14i 0.794724 + 0.358500i
\(302\) −1421.83 2462.69i −0.270918 0.469244i
\(303\) 4236.78 2693.63i 0.803290 0.510709i
\(304\) −508.302 880.405i −0.0958984 0.166101i
\(305\) −4647.85 + 8050.31i −0.872573 + 1.51134i
\(306\) −4167.30 + 8893.84i −0.778525 + 1.66153i
\(307\) −5634.20 −1.04743 −0.523715 0.851894i \(-0.675454\pi\)
−0.523715 + 0.851894i \(0.675454\pi\)
\(308\) −1956.87 + 1407.19i −0.362024 + 0.260331i
\(309\) 3548.32 + 1851.31i 0.653259 + 0.340833i
\(310\) −10064.0 + 17431.4i −1.84387 + 3.19367i
\(311\) 1631.73 0.297514 0.148757 0.988874i \(-0.452473\pi\)
0.148757 + 0.988874i \(0.452473\pi\)
\(312\) 3434.56 2183.59i 0.623216 0.396223i
\(313\) −3258.72 −0.588478 −0.294239 0.955732i \(-0.595066\pi\)
−0.294239 + 0.955732i \(0.595066\pi\)
\(314\) 8577.51 1.54158
\(315\) −7545.53 2655.14i −1.34966 0.474920i
\(316\) 6545.51 1.16523
\(317\) −1697.52 −0.300764 −0.150382 0.988628i \(-0.548050\pi\)
−0.150382 + 0.988628i \(0.548050\pi\)
\(318\) −3405.13 1776.60i −0.600472 0.313292i
\(319\) −2451.50 −0.430275
\(320\) −6151.30 + 10654.4i −1.07459 + 1.86124i
\(321\) −5599.86 + 3560.23i −0.973687 + 0.619042i
\(322\) −2946.82 1329.31i −0.510000 0.230061i
\(323\) −2306.51 −0.397331
\(324\) 7571.34 1306.19i 1.29824 0.223969i
\(325\) 4688.28 8120.34i 0.800181 1.38595i
\(326\) −807.590 1398.79i −0.137203 0.237643i
\(327\) 4576.51 + 2387.76i 0.773950 + 0.403802i
\(328\) 203.461 + 352.404i 0.0342507 + 0.0593240i
\(329\) 169.226 + 1689.50i 0.0283579 + 0.283116i
\(330\) −188.691 4415.40i −0.0314761 0.736545i
\(331\) 7928.23 1.31654 0.658270 0.752782i \(-0.271289\pi\)
0.658270 + 0.752782i \(0.271289\pi\)
\(332\) 716.309 1240.68i 0.118411 0.205094i
\(333\) −1814.14 2601.08i −0.298541 0.428043i
\(334\) 6048.30 + 10476.0i 0.990864 + 1.71623i
\(335\) −825.002 + 1428.95i −0.134551 + 0.233050i
\(336\) 3547.12 509.056i 0.575926 0.0826527i
\(337\) −2899.12 5021.42i −0.468620 0.811674i 0.530736 0.847537i \(-0.321915\pi\)
−0.999357 + 0.0358626i \(0.988582\pi\)
\(338\) 6318.20 10943.4i 1.01676 1.76108i
\(339\) 1511.87 961.205i 0.242223 0.153999i
\(340\) 7121.79 + 12335.3i 1.13598 + 1.96757i
\(341\) 1804.29 + 3125.13i 0.286534 + 0.496291i
\(342\) 1815.65 + 2603.25i 0.287073 + 0.411601i
\(343\) −1874.19 6069.68i −0.295035 0.955487i
\(344\) −1343.94 + 2327.78i −0.210641 + 0.364841i
\(345\) 2843.64 1807.91i 0.443758 0.282129i
\(346\) −2858.48 −0.444142
\(347\) 8450.14 1.30728 0.653642 0.756804i \(-0.273240\pi\)
0.653642 + 0.756804i \(0.273240\pi\)
\(348\) −9639.13 5029.14i −1.48480 0.774685i
\(349\) 4344.69 7525.22i 0.666378 1.15420i −0.312532 0.949907i \(-0.601177\pi\)
0.978910 0.204293i \(-0.0654895\pi\)
\(350\) −8474.15 + 6093.75i −1.29418 + 0.930642i
\(351\) 7990.39 6096.11i 1.21509 0.927027i
\(352\) 1529.98 + 2650.00i 0.231671 + 0.401265i
\(353\) 2161.42 + 3743.68i 0.325894 + 0.564465i 0.981693 0.190471i \(-0.0610014\pi\)
−0.655799 + 0.754936i \(0.727668\pi\)
\(354\) 97.9791 + 2292.72i 0.0147105 + 0.344228i
\(355\) −1632.80 + 2828.10i −0.244113 + 0.422816i
\(356\) −7489.34 12971.9i −1.11498 1.93121i
\(357\) 3023.69 7547.13i 0.448265 1.11887i
\(358\) −9339.21 + 16176.0i −1.37875 + 2.38807i
\(359\) −3205.46 5552.03i −0.471248 0.816225i 0.528211 0.849113i \(-0.322863\pi\)
−0.999459 + 0.0328880i \(0.989530\pi\)
\(360\) 2003.67 4276.23i 0.293341 0.626048i
\(361\) 3056.83 5294.58i 0.445667 0.771917i
\(362\) 2253.32 0.327160
\(363\) 5429.22 + 2832.66i 0.785015 + 0.409575i
\(364\) −11352.4 + 8163.49i −1.63469 + 1.17550i
\(365\) −9290.57 16091.7i −1.33230 2.30762i
\(366\) 555.098 + 12989.3i 0.0792771 + 1.85509i
\(367\) −2570.52 4452.28i −0.365614 0.633261i 0.623261 0.782014i \(-0.285808\pi\)
−0.988874 + 0.148753i \(0.952474\pi\)
\(368\) −754.787 + 1307.33i −0.106918 + 0.185188i
\(369\) 574.839 + 824.195i 0.0810974 + 0.116276i
\(370\) −8089.83 −1.13668
\(371\) 2898.08 + 1307.32i 0.405554 + 0.182946i
\(372\) 683.297 + 15989.2i 0.0952347 + 2.22850i
\(373\) 2446.20 4236.94i 0.339569 0.588151i −0.644782 0.764366i \(-0.723052\pi\)
0.984352 + 0.176215i \(0.0563853\pi\)
\(374\) 4491.95 0.621051
\(375\) −20.9061 489.205i −0.00287890 0.0673665i
\(376\) −1002.42 −0.137489
\(377\) −14221.9 −1.94287
\(378\) −10898.3 + 2528.28i −1.48293 + 0.344023i
\(379\) −7875.22 −1.06734 −0.533671 0.845692i \(-0.679188\pi\)
−0.533671 + 0.845692i \(0.679188\pi\)
\(380\) 4602.77 0.621361
\(381\) 243.260 + 5692.31i 0.0327102 + 0.765422i
\(382\) 12636.8 1.69255
\(383\) −2289.71 + 3965.89i −0.305480 + 0.529106i −0.977368 0.211546i \(-0.932150\pi\)
0.671888 + 0.740652i \(0.265483\pi\)
\(384\) 294.848 + 6899.48i 0.0391834 + 0.916895i
\(385\) 364.608 + 3640.13i 0.0482653 + 0.481865i
\(386\) 6777.50 0.893694
\(387\) −2816.24 + 6010.42i −0.369917 + 0.789475i
\(388\) −5894.26 + 10209.2i −0.771226 + 1.33580i
\(389\) −743.851 1288.39i −0.0969531 0.167928i 0.813469 0.581608i \(-0.197576\pi\)
−0.910422 + 0.413681i \(0.864243\pi\)
\(390\) −1094.65 25615.0i −0.142128 3.32581i
\(391\) 1712.49 + 2966.13i 0.221495 + 0.383640i
\(392\) 3675.78 743.821i 0.473609 0.0958383i
\(393\) 2011.95 + 1049.72i 0.258243 + 0.134736i
\(394\) 39.9912 0.00511352
\(395\) 4967.38 8603.75i 0.632749 1.09595i
\(396\) −2010.16 2882.13i −0.255086 0.365738i
\(397\) 210.748 + 365.026i 0.0266426 + 0.0461464i 0.879039 0.476749i \(-0.158185\pi\)
−0.852397 + 0.522896i \(0.824852\pi\)
\(398\) 7610.75 13182.2i 0.958524 1.66021i
\(399\) −1623.54 2065.61i −0.203706 0.259172i
\(400\) 2436.98 + 4220.98i 0.304623 + 0.527623i
\(401\) −1682.69 + 2914.50i −0.209550 + 0.362951i −0.951573 0.307423i \(-0.900533\pi\)
0.742023 + 0.670375i \(0.233867\pi\)
\(402\) 98.5310 + 2305.64i 0.0122246 + 0.286056i
\(403\) 10467.2 + 18129.8i 1.29382 + 2.24096i
\(404\) −5091.59 8818.89i −0.627020 1.08603i
\(405\) 4028.96 10943.4i 0.494323 1.34267i
\(406\) 14431.0 + 6509.81i 1.76403 + 0.795754i
\(407\) −725.177 + 1256.04i −0.0883187 + 0.152972i
\(408\) 4255.49 + 2220.27i 0.516368 + 0.269411i
\(409\) −12776.9 −1.54468 −0.772341 0.635208i \(-0.780915\pi\)
−0.772341 + 0.635208i \(0.780915\pi\)
\(410\) 2563.39 0.308773
\(411\) −9949.65 + 6325.70i −1.19411 + 0.759182i
\(412\) 4058.87 7030.17i 0.485355 0.840659i
\(413\) −189.325 1890.16i −0.0225570 0.225202i
\(414\) 1999.67 4267.69i 0.237387 0.506631i
\(415\) −1087.21 1883.11i −0.128600 0.222742i
\(416\) 8875.84 + 15373.4i 1.04609 + 1.81188i
\(417\) −2764.73 + 1757.74i −0.324675 + 0.206419i
\(418\) 725.781 1257.09i 0.0849261 0.147096i
\(419\) 2968.34 + 5141.32i 0.346093 + 0.599451i 0.985552 0.169375i \(-0.0541748\pi\)
−0.639459 + 0.768825i \(0.720842\pi\)
\(420\) −6033.94 + 15060.7i −0.701015 + 1.74973i
\(421\) 3097.28 5364.64i 0.358556 0.621037i −0.629164 0.777273i \(-0.716603\pi\)
0.987720 + 0.156236i \(0.0499359\pi\)
\(422\) −1876.46 3250.13i −0.216457 0.374915i
\(423\) −2466.36 + 211.184i −0.283495 + 0.0242746i
\(424\) −938.479 + 1625.49i −0.107492 + 0.186181i
\(425\) 11058.3 1.26213
\(426\) 195.008 + 4563.20i 0.0221787 + 0.518985i
\(427\) −1072.61 10708.6i −0.121563 1.21365i
\(428\) 6729.68 + 11656.1i 0.760026 + 1.31640i
\(429\) −4075.17 2126.19i −0.458627 0.239285i
\(430\) 8466.13 + 14663.8i 0.949473 + 1.64453i
\(431\) 6203.14 10744.2i 0.693259 1.20076i −0.277505 0.960724i \(-0.589507\pi\)
0.970764 0.240036i \(-0.0771593\pi\)
\(432\) 667.528 + 5181.37i 0.0743437 + 0.577057i
\(433\) 6906.51 0.766525 0.383263 0.923639i \(-0.374800\pi\)
0.383263 + 0.923639i \(0.374800\pi\)
\(434\) −2322.54 23187.5i −0.256880 2.56460i
\(435\) −13925.7 + 8853.55i −1.53491 + 0.975851i
\(436\) 5235.00 9067.29i 0.575025 0.995973i
\(437\) 1106.78 0.121154
\(438\) −23040.6 12021.3i −2.51352 1.31141i
\(439\) −6034.84 −0.656098 −0.328049 0.944661i \(-0.606391\pi\)
−0.328049 + 0.944661i \(0.606391\pi\)
\(440\) −2159.77 −0.234007
\(441\) 8887.22 2604.50i 0.959639 0.281233i
\(442\) 26059.1 2.80431
\(443\) −9440.28 −1.01246 −0.506231 0.862398i \(-0.668962\pi\)
−0.506231 + 0.862398i \(0.668962\pi\)
\(444\) −5428.06 + 3451.01i −0.580190 + 0.368869i
\(445\) −22734.6 −2.42185
\(446\) −5242.68 + 9080.60i −0.556611 + 0.964078i
\(447\) −6650.44 3469.82i −0.703702 0.367151i
\(448\) −1419.58 14172.6i −0.149707 1.49462i
\(449\) 1036.72 0.108966 0.0544830 0.998515i \(-0.482649\pi\)
0.0544830 + 0.998515i \(0.482649\pi\)
\(450\) −8704.88 12480.9i −0.911893 1.30746i
\(451\) 229.784 397.998i 0.0239914 0.0415543i
\(452\) −1816.91 3146.97i −0.189071 0.327480i
\(453\) −2895.99 + 1841.19i −0.300366 + 0.190964i
\(454\) 623.639 + 1080.17i 0.0644688 + 0.111663i
\(455\) 2115.20 + 21117.4i 0.217938 + 2.17582i
\(456\) 1308.93 832.178i 0.134421 0.0854611i
\(457\) 8605.86 0.880887 0.440443 0.897780i \(-0.354821\pi\)
0.440443 + 0.897780i \(0.354821\pi\)
\(458\) −10558.9 + 18288.6i −1.07726 + 1.86587i
\(459\) 10938.0 + 4566.25i 1.11229 + 0.464344i
\(460\) −3417.37 5919.06i −0.346382 0.599952i
\(461\) −2742.73 + 4750.55i −0.277097 + 0.479946i −0.970662 0.240448i \(-0.922706\pi\)
0.693565 + 0.720394i \(0.256039\pi\)
\(462\) 3161.86 + 4022.78i 0.318405 + 0.405101i
\(463\) 9424.66 + 16324.0i 0.946007 + 1.63853i 0.753722 + 0.657193i \(0.228256\pi\)
0.192285 + 0.981339i \(0.438410\pi\)
\(464\) 3696.29 6402.16i 0.369819 0.640545i
\(465\) 21535.6 + 11236.0i 2.14772 + 1.12056i
\(466\) −11617.1 20121.3i −1.15483 2.00022i
\(467\) −1996.29 3457.67i −0.197810 0.342616i 0.750008 0.661428i \(-0.230049\pi\)
−0.947818 + 0.318812i \(0.896716\pi\)
\(468\) −11661.5 16720.0i −1.15182 1.65146i
\(469\) −190.391 1900.80i −0.0187451 0.187145i
\(470\) −3157.35 + 5468.69i −0.309868 + 0.536706i
\(471\) −441.959 10341.9i −0.0432365 1.01174i
\(472\) 1121.47 0.109364
\(473\) 3035.64 0.295093
\(474\) −593.260 13882.3i −0.0574880 1.34523i
\(475\) 1786.73 3094.70i 0.172591 0.298936i
\(476\) −15032.0 6780.94i −1.44746 0.652949i
\(477\) −1966.59 + 4197.09i −0.188772 + 0.402876i
\(478\) −7285.44 12618.7i −0.697130 1.20746i
\(479\) 2017.44 + 3494.31i 0.192441 + 0.333318i 0.946059 0.323995i \(-0.105026\pi\)
−0.753618 + 0.657313i \(0.771693\pi\)
\(480\) 18261.4 + 9527.75i 1.73649 + 0.906001i
\(481\) −4206.96 + 7286.67i −0.398796 + 0.690735i
\(482\) 11242.9 + 19473.4i 1.06245 + 1.84022i
\(483\) −1450.91 + 3621.47i −0.136685 + 0.341165i
\(484\) 6210.41 10756.7i 0.583246 1.01021i
\(485\) 8946.28 + 15495.4i 0.837587 + 1.45074i
\(486\) −3456.52 15939.6i −0.322615 1.48773i
\(487\) −2594.34 + 4493.53i −0.241398 + 0.418114i −0.961113 0.276156i \(-0.910939\pi\)
0.719715 + 0.694270i \(0.244273\pi\)
\(488\) 6353.66 0.589379
\(489\) −1644.90 + 1045.78i −0.152117 + 0.0967115i
\(490\) 7519.83 22396.1i 0.693288 2.06480i
\(491\) −9858.14 17074.8i −0.906093 1.56940i −0.819444 0.573160i \(-0.805717\pi\)
−0.0866491 0.996239i \(-0.527616\pi\)
\(492\) 1719.97 1093.51i 0.157606 0.100201i
\(493\) −8386.30 14525.5i −0.766125 1.32697i
\(494\) 4210.46 7292.74i 0.383477 0.664202i
\(495\) −5313.91 + 455.010i −0.482511 + 0.0413155i
\(496\) −10881.8 −0.985096
\(497\) −376.812 3761.97i −0.0340088 0.339532i
\(498\) −2696.28 1406.77i −0.242617 0.126584i
\(499\) −4602.18 + 7971.20i −0.412869 + 0.715110i −0.995202 0.0978399i \(-0.968807\pi\)
0.582333 + 0.812950i \(0.302140\pi\)
\(500\) −993.159 −0.0888309
\(501\) 12319.2 7832.20i 1.09857 0.698437i
\(502\) −11954.8 −1.06289
\(503\) 15889.6 1.40852 0.704258 0.709944i \(-0.251280\pi\)
0.704258 + 0.709944i \(0.251280\pi\)
\(504\) 1007.04 + 5373.85i 0.0890025 + 0.474941i
\(505\) −15456.0 −1.36195
\(506\) −2155.45 −0.189370
\(507\) −13520.0 7053.97i −1.18431 0.617905i
\(508\) 11556.2 1.00930
\(509\) 6094.85 10556.6i 0.530746 0.919278i −0.468611 0.883405i \(-0.655245\pi\)
0.999356 0.0358735i \(-0.0114213\pi\)
\(510\) 25516.4 16222.6i 2.21546 1.40853i
\(511\) 19609.7 + 8845.93i 1.69762 + 0.765794i
\(512\) −12484.5 −1.07762
\(513\) 3045.17 2323.26i 0.262081 0.199950i
\(514\) 3624.18 6277.26i 0.311003 0.538673i
\(515\) −6160.54 10670.4i −0.527118 0.912995i
\(516\) 11935.9 + 6227.48i 1.01831 + 0.531297i
\(517\) 566.054 + 980.435i 0.0481529 + 0.0834032i
\(518\) 7604.16 5468.14i 0.644995 0.463816i
\(519\) 147.284 + 3446.47i 0.0124568 + 0.291490i
\(520\) −12529.4 −1.05664
\(521\) −4945.29 + 8565.50i −0.415849 + 0.720271i −0.995517 0.0945813i \(-0.969849\pi\)
0.579668 + 0.814852i \(0.303182\pi\)
\(522\) −9792.63 + 20899.4i −0.821096 + 1.75238i
\(523\) 3592.36 + 6222.15i 0.300350 + 0.520221i 0.976215 0.216804i \(-0.0695632\pi\)
−0.675865 + 0.737025i \(0.736230\pi\)
\(524\) 2301.44 3986.21i 0.191868 0.332325i
\(525\) 7783.85 + 9903.28i 0.647077 + 0.823266i
\(526\) −16031.5 27767.4i −1.32891 2.30174i
\(527\) −12344.6 + 21381.4i −1.02037 + 1.76734i
\(528\) 2016.27 1281.89i 0.166188 0.105657i
\(529\) 5261.76 + 9113.64i 0.432462 + 0.749046i
\(530\) 5911.93 + 10239.8i 0.484524 + 0.839220i
\(531\) 2759.28 236.266i 0.225504 0.0193090i
\(532\) −4326.45 + 3111.15i −0.352585 + 0.253544i
\(533\) 1333.04 2308.90i 0.108331 0.187635i
\(534\) −26833.3 + 17059.8i −2.17451 + 1.38249i
\(535\) 20428.6 1.65085
\(536\) 1127.79 0.0908825
\(537\) 19984.6 + 10426.8i 1.60595 + 0.837895i
\(538\) −15919.4 + 27573.2i −1.27571 + 2.20960i
\(539\) −2803.18 3175.15i −0.224011 0.253735i
\(540\) −21827.4 9112.19i −1.73945 0.726160i
\(541\) −8256.26 14300.3i −0.656126 1.13644i −0.981610 0.190896i \(-0.938861\pi\)
0.325484 0.945548i \(-0.394473\pi\)
\(542\) −2647.87 4586.25i −0.209845 0.363462i
\(543\) −116.103 2716.82i −0.00917580 0.214715i
\(544\) −10467.7 + 18130.7i −0.825002 + 1.42894i
\(545\) −7945.66 13762.3i −0.624504 1.08167i
\(546\) 18342.8 + 23337.3i 1.43773 + 1.82920i
\(547\) −7742.69 + 13410.7i −0.605217 + 1.04827i 0.386801 + 0.922163i \(0.373580\pi\)
−0.992017 + 0.126103i \(0.959753\pi\)
\(548\) 11957.1 + 20710.3i 0.932082 + 1.61441i
\(549\) 15632.6 1338.56i 1.21527 0.104059i
\(550\) −3479.66 + 6026.94i −0.269769 + 0.467254i
\(551\) −5420.02 −0.419057
\(552\) −2041.99 1065.39i −0.157450 0.0821486i
\(553\) 1146.35 + 11444.8i 0.0881518 + 0.880079i
\(554\) 3725.77 + 6453.23i 0.285727 + 0.494894i
\(555\) 416.831 + 9753.88i 0.0318802 + 0.745999i
\(556\) 3322.54 + 5754.81i 0.253430 + 0.438954i
\(557\) 2735.23 4737.56i 0.208071 0.360390i −0.743036 0.669252i \(-0.766615\pi\)
0.951107 + 0.308862i \(0.0999481\pi\)
\(558\) 33849.5 2898.40i 2.56804 0.219891i
\(559\) 17610.6 1.33247
\(560\) −10056.0 4536.27i −0.758830 0.342308i
\(561\) −231.449 5415.93i −0.0174185 0.407595i
\(562\) 11152.2 19316.2i 0.837060 1.44983i
\(563\) −13295.9 −0.995305 −0.497652 0.867377i \(-0.665804\pi\)
−0.497652 + 0.867377i \(0.665804\pi\)
\(564\) 214.368 + 5016.23i 0.0160045 + 0.374506i
\(565\) −5515.38 −0.410680
\(566\) −19936.4 −1.48055
\(567\) 3609.88 + 13009.7i 0.267373 + 0.963593i
\(568\) 2232.06 0.164886
\(569\) 6809.71 0.501719 0.250859 0.968024i \(-0.419287\pi\)
0.250859 + 0.968024i \(0.419287\pi\)
\(570\) −417.178 9762.00i −0.0306555 0.717342i
\(571\) −96.2117 −0.00705138 −0.00352569 0.999994i \(-0.501122\pi\)
−0.00352569 + 0.999994i \(0.501122\pi\)
\(572\) −4661.52 + 8073.99i −0.340748 + 0.590193i
\(573\) −651.114 15236.1i −0.0474706 1.11082i
\(574\) −2409.50 + 1732.67i −0.175210 + 0.125993i
\(575\) −5306.28 −0.384847
\(576\) 20689.3 1771.55i 1.49662 0.128150i
\(577\) −2412.03 + 4177.76i −0.174028 + 0.301425i −0.939824 0.341658i \(-0.889012\pi\)
0.765797 + 0.643083i \(0.222345\pi\)
\(578\) 4789.39 + 8295.46i 0.344658 + 0.596965i
\(579\) −349.213 8171.62i −0.0250653 0.586530i
\(580\) 16735.3 + 28986.4i 1.19810 + 2.07516i
\(581\) 2294.79 + 1035.18i 0.163862 + 0.0739181i
\(582\) 22186.8 + 11575.8i 1.58019 + 0.824453i
\(583\) 2119.80 0.150588
\(584\) −6350.17 + 10998.8i −0.449952 + 0.779339i
\(585\) −30827.5 + 2639.64i −2.17874 + 0.186557i
\(586\) −9081.52 15729.7i −0.640195 1.10885i
\(587\) −1727.26 + 2991.70i −0.121451 + 0.210359i −0.920340 0.391119i \(-0.872088\pi\)
0.798889 + 0.601478i \(0.205421\pi\)
\(588\) −4508.26 18235.1i −0.316186 1.27891i
\(589\) 3989.11 + 6909.34i 0.279064 + 0.483352i
\(590\) 3532.34 6118.20i 0.246482 0.426919i
\(591\) −2.06056 48.2173i −0.000143418 0.00335600i
\(592\) −2186.79 3787.64i −0.151819 0.262958i
\(593\) −2016.99 3493.53i −0.139676 0.241926i 0.787698 0.616061i \(-0.211273\pi\)
−0.927374 + 0.374136i \(0.877939\pi\)
\(594\) −5930.49 + 4524.55i −0.409648 + 0.312533i
\(595\) −20321.0 + 14612.8i −1.40013 + 1.00683i
\(596\) −7607.33 + 13176.3i −0.522833 + 0.905574i
\(597\) −16285.9 8497.05i −1.11648 0.582514i
\(598\) −12504.4 −0.855088
\(599\) −4837.66 −0.329986 −0.164993 0.986295i \(-0.552760\pi\)
−0.164993 + 0.986295i \(0.552760\pi\)
\(600\) −6275.46 + 3989.76i −0.426991 + 0.271469i
\(601\) −4800.07 + 8313.96i −0.325788 + 0.564282i −0.981672 0.190580i \(-0.938963\pi\)
0.655883 + 0.754862i \(0.272296\pi\)
\(602\) −17869.5 8060.95i −1.20981 0.545747i
\(603\) 2774.82 237.597i 0.187396 0.0160459i
\(604\) 3480.29 + 6028.03i 0.234455 + 0.406088i
\(605\) −9426.13 16326.5i −0.633433 1.09714i
\(606\) −18242.5 + 11598.0i −1.22285 + 0.777456i
\(607\) 3843.94 6657.90i 0.257036 0.445199i −0.708411 0.705800i \(-0.750588\pi\)
0.965446 + 0.260602i \(0.0839209\pi\)
\(608\) 3382.63 + 5858.88i 0.225631 + 0.390804i
\(609\) 7105.30 17734.8i 0.472777 1.18005i
\(610\) 20012.4 34662.5i 1.32832 2.30073i
\(611\) 3283.84 + 5687.78i 0.217431 + 0.376601i
\(612\) 10200.5 21769.9i 0.673743 1.43790i
\(613\) −7582.86 + 13133.9i −0.499623 + 0.865372i −1.00000 0.000435446i \(-0.999861\pi\)
0.500377 + 0.865808i \(0.333195\pi\)
\(614\) 24259.4 1.59451
\(615\) −132.080 3090.68i −0.00866010 0.202647i
\(616\) 2030.11 1459.85i 0.132785 0.0954853i
\(617\) 1488.76 + 2578.61i 0.0971397 + 0.168251i 0.910500 0.413510i \(-0.135697\pi\)
−0.813360 + 0.581761i \(0.802364\pi\)
\(618\) −15278.1 7971.25i −0.994460 0.518852i
\(619\) −3810.52 6600.02i −0.247428 0.428558i 0.715384 0.698732i \(-0.246252\pi\)
−0.962811 + 0.270174i \(0.912919\pi\)
\(620\) 24634.2 42667.7i 1.59570 2.76383i
\(621\) −5248.57 2191.10i −0.339159 0.141588i
\(622\) −7025.80 −0.452908
\(623\) 21369.7 15367.0i 1.37425 0.988225i
\(624\) 11697.0 7436.61i 0.750408 0.477088i
\(625\) 7426.97 12863.9i 0.475326 0.823289i
\(626\) 14031.2 0.895845
\(627\) −1553.07 810.300i −0.0989210 0.0516113i
\(628\) −20995.6 −1.33410
\(629\) −9922.98 −0.629023
\(630\) 32489.0 + 11432.3i 2.05459 + 0.722975i
\(631\) 12459.3 0.786046 0.393023 0.919529i \(-0.371429\pi\)
0.393023 + 0.919529i \(0.371429\pi\)
\(632\) −6790.47 −0.427390
\(633\) −3821.99 + 2429.91i −0.239985 + 0.152576i
\(634\) 7309.07 0.457855
\(635\) 8770.01 15190.1i 0.548074 0.949293i
\(636\) 8334.89 + 4348.67i 0.519654 + 0.271126i
\(637\) −16262.1 18419.9i −1.01150 1.14572i
\(638\) 10555.5 0.655011
\(639\) 5491.79 470.240i 0.339987 0.0291118i
\(640\) 10629.9 18411.5i 0.656536 1.13715i
\(641\) −797.185 1380.76i −0.0491215 0.0850810i 0.840419 0.541937i \(-0.182309\pi\)
−0.889541 + 0.456856i \(0.848976\pi\)
\(642\) 24111.5 15329.4i 1.48225 0.942373i
\(643\) −1235.02 2139.11i −0.0757453 0.131195i 0.825665 0.564161i \(-0.190800\pi\)
−0.901410 + 0.432966i \(0.857467\pi\)
\(644\) 7213.08 + 3253.82i 0.441359 + 0.199097i
\(645\) 17243.9 10963.2i 1.05268 0.669262i
\(646\) 9931.24 0.604860
\(647\) −10177.5 + 17628.0i −0.618422 + 1.07114i 0.371352 + 0.928492i \(0.378894\pi\)
−0.989774 + 0.142646i \(0.954439\pi\)
\(648\) −7854.69 + 1355.07i −0.476175 + 0.0821483i
\(649\) −633.283 1096.88i −0.0383028 0.0663424i
\(650\) −20186.5 + 34964.0i −1.21812 + 2.10985i
\(651\) −27837.5 + 3995.03i −1.67594 + 0.240519i
\(652\) 1976.78 + 3423.88i 0.118737 + 0.205659i
\(653\) −4640.39 + 8037.40i −0.278090 + 0.481666i −0.970910 0.239445i \(-0.923035\pi\)
0.692820 + 0.721110i \(0.256368\pi\)
\(654\) −19705.2 10281.1i −1.17819 0.614711i
\(655\) −3493.12 6050.25i −0.208378 0.360921i
\(656\) 692.921 + 1200.17i 0.0412409 + 0.0714313i
\(657\) −13306.8 + 28399.4i −0.790181 + 1.68640i
\(658\) −728.643 7274.53i −0.0431694 0.430989i
\(659\) 3539.92 6131.31i 0.209250 0.362431i −0.742229 0.670147i \(-0.766231\pi\)
0.951478 + 0.307716i \(0.0995645\pi\)
\(660\) 461.869 + 10807.8i 0.0272397 + 0.637413i
\(661\) 11986.2 0.705310 0.352655 0.935753i \(-0.385279\pi\)
0.352655 + 0.935753i \(0.385279\pi\)
\(662\) −34136.8 −2.00418
\(663\) −1342.70 31419.4i −0.0786520 1.84046i
\(664\) −743.116 + 1287.11i −0.0434314 + 0.0752255i
\(665\) 806.111 + 8047.95i 0.0470070 + 0.469302i
\(666\) 7811.20 + 11199.6i 0.454471 + 0.651613i
\(667\) 4024.14 + 6970.02i 0.233606 + 0.404618i
\(668\) −14804.7 25642.5i −0.857503 1.48524i
\(669\) 11218.6 + 5853.21i 0.648334 + 0.338263i
\(670\) 3552.24 6152.66i 0.204828 0.354773i
\(671\) −3587.85 6214.34i −0.206419 0.357529i
\(672\) −23605.2 + 3387.64i −1.35504 + 0.194466i
\(673\) 12138.4 21024.4i 0.695248 1.20421i −0.274849 0.961488i \(-0.588628\pi\)
0.970097 0.242718i \(-0.0780389\pi\)
\(674\) 12482.8 + 21620.9i 0.713384 + 1.23562i
\(675\) −14599.7 + 11138.5i −0.832506 + 0.635144i
\(676\) −15465.3 + 26786.8i −0.879913 + 1.52405i
\(677\) 3453.71 0.196066 0.0980331 0.995183i \(-0.468745\pi\)
0.0980331 + 0.995183i \(0.468745\pi\)
\(678\) −6509.72 + 4138.69i −0.368738 + 0.234433i
\(679\) −18883.0 8518.12i −1.06725 0.481436i
\(680\) −7388.31 12796.9i −0.416660 0.721676i
\(681\) 1270.23 807.577i 0.0714763 0.0454426i
\(682\) −7768.81 13456.0i −0.436192 0.755507i
\(683\) 15514.6 26872.1i 0.869179 1.50546i 0.00634267 0.999980i \(-0.497981\pi\)
0.862837 0.505483i \(-0.168686\pi\)
\(684\) −4444.25 6372.09i −0.248436 0.356203i
\(685\) 36296.8 2.02457
\(686\) 8069.78 + 26134.4i 0.449133 + 1.45454i
\(687\) 22594.6 + 11788.5i 1.25478 + 0.654674i
\(688\) −4577.03 + 7927.65i −0.253630 + 0.439301i
\(689\) 12297.5 0.679970
\(690\) −12244.0 + 7784.37i −0.675536 + 0.429487i
\(691\) 15119.5 0.832379 0.416190 0.909278i \(-0.363365\pi\)
0.416190 + 0.909278i \(0.363365\pi\)
\(692\) 6996.85 0.384365
\(693\) 4687.34 4019.52i 0.256937 0.220330i
\(694\) −36384.1 −1.99009
\(695\) 10085.9 0.550474
\(696\) 9999.86 + 5217.35i 0.544603 + 0.284143i
\(697\) 3144.26 0.170871
\(698\) −18707.1 + 32401.6i −1.01443 + 1.75705i
\(699\) −23661.7 + 15043.4i −1.28035 + 0.814012i
\(700\) 20742.6 14916.0i 1.11999 0.805386i
\(701\) 5945.15 0.320321 0.160161 0.987091i \(-0.448799\pi\)
0.160161 + 0.987091i \(0.448799\pi\)
\(702\) −34404.5 + 26248.2i −1.84973 + 1.41122i
\(703\) −1603.29 + 2776.99i −0.0860162 + 0.148984i
\(704\) −4748.42 8224.50i −0.254208 0.440302i
\(705\) 6756.27 + 3525.04i 0.360931 + 0.188313i
\(706\) −9306.48 16119.3i −0.496111 0.859289i
\(707\) 14528.1 10447.1i 0.772823 0.555736i
\(708\) −239.828 5612.00i −0.0127306 0.297898i
\(709\) −21769.7 −1.15314 −0.576572 0.817047i \(-0.695610\pi\)
−0.576572 + 0.817047i \(0.695610\pi\)
\(710\) 7030.41 12177.0i 0.371615 0.643656i
\(711\) −16707.3 + 1430.58i −0.881258 + 0.0754586i
\(712\) 7769.61 + 13457.4i 0.408959 + 0.708337i
\(713\) 5923.51 10259.8i 0.311132 0.538896i
\(714\) −13019.2 + 32495.9i −0.682398 + 1.70326i
\(715\) 7075.24 + 12254.7i 0.370069 + 0.640977i
\(716\) 22860.0 39594.7i 1.19318 2.06665i
\(717\) −14839.0 + 9434.22i −0.772905 + 0.491391i
\(718\) 13801.9 + 23905.6i 0.717384 + 1.24254i
\(719\) −14530.9 25168.3i −0.753701 1.30545i −0.946017 0.324116i \(-0.894933\pi\)
0.192316 0.981333i \(-0.438400\pi\)
\(720\) 6823.87 14563.5i 0.353209 0.753818i
\(721\) 13003.1 + 5865.70i 0.671651 + 0.302982i
\(722\) −13161.9 + 22797.1i −0.678442 + 1.17510i
\(723\) 22899.7 14559.0i 1.17794 0.748899i
\(724\) −5515.56 −0.283127
\(725\) 25985.5 1.33114
\(726\) −23376.8 12196.7i −1.19503 0.623500i
\(727\) −9889.43 + 17129.0i −0.504510 + 0.873837i 0.495476 + 0.868621i \(0.334994\pi\)
−0.999986 + 0.00521564i \(0.998340\pi\)
\(728\) 11777.2 8469.00i 0.599579 0.431157i
\(729\) −19040.3 + 4988.81i −0.967346 + 0.253458i
\(730\) 40002.7 + 69286.8i 2.02818 + 3.51290i
\(731\) 10384.6 + 17986.6i 0.525427 + 0.910066i
\(732\) −1358.74 31794.6i −0.0686072 1.60541i
\(733\) −7505.17 + 12999.3i −0.378185 + 0.655036i −0.990798 0.135347i \(-0.956785\pi\)
0.612613 + 0.790383i \(0.290118\pi\)
\(734\) 11068.0 + 19170.3i 0.556576 + 0.964018i
\(735\) −27390.4 7912.67i −1.37457 0.397093i
\(736\) 5022.92 8699.96i 0.251559 0.435713i
\(737\) −636.850 1103.06i −0.0318300 0.0551311i
\(738\) −2475.11 3548.76i −0.123455 0.177008i
\(739\) 12605.7 21833.6i 0.627478 1.08682i −0.360578 0.932729i \(-0.617420\pi\)
0.988056 0.154095i \(-0.0492463\pi\)
\(740\) 19801.9 0.983690
\(741\) −9009.78 4700.78i −0.446670 0.233047i
\(742\) −12478.4 5628.98i −0.617378 0.278499i
\(743\) 5901.36 + 10221.5i 0.291386 + 0.504696i 0.974138 0.225955i \(-0.0725502\pi\)
−0.682752 + 0.730651i \(0.739217\pi\)
\(744\) −708.868 16587.6i −0.0349306 0.817380i
\(745\) 11546.4 + 19998.9i 0.567821 + 0.983495i
\(746\) −10532.7 + 18243.1i −0.516929 + 0.895347i
\(747\) −1557.21 + 3323.39i −0.0762720 + 0.162780i
\(748\) −10995.2 −0.537463
\(749\) −19202.1 + 13808.2i −0.936757 + 0.673621i
\(750\) 90.0161 + 2106.39i 0.00438257 + 0.102552i
\(751\) 4171.09 7224.54i 0.202670 0.351035i −0.746718 0.665141i \(-0.768371\pi\)
0.949388 + 0.314106i \(0.101705\pi\)
\(752\) −3413.91 −0.165548
\(753\) 615.975 + 14413.9i 0.0298106 + 0.697571i
\(754\) 61235.6 2.95765
\(755\) 10564.7 0.509258
\(756\) 26676.2 6188.59i 1.28334 0.297721i
\(757\) −16769.4 −0.805147 −0.402573 0.915388i \(-0.631884\pi\)
−0.402573 + 0.915388i \(0.631884\pi\)
\(758\) 33908.6 1.62482
\(759\) 111.060 + 2598.82i 0.00531124 + 0.124284i
\(760\) −4775.03 −0.227906
\(761\) −16281.8 + 28200.9i −0.775577 + 1.34334i 0.158893 + 0.987296i \(0.449207\pi\)
−0.934470 + 0.356042i \(0.884126\pi\)
\(762\) −1047.41 24509.6i −0.0497950 1.16521i
\(763\) 16771.0 + 7565.39i 0.795741 + 0.358959i
\(764\) −30931.6 −1.46475
\(765\) −20874.3 29929.2i −0.986550 1.41450i
\(766\) 9858.88 17076.1i 0.465034 0.805462i
\(767\) −3673.86 6363.31i −0.172953 0.299564i
\(768\) 95.4435 + 2233.39i 0.00448440 + 0.104935i
\(769\) 10652.9 + 18451.3i 0.499547 + 0.865242i 1.00000 0.000522521i \(-0.000166324\pi\)
−0.500452 + 0.865764i \(0.666833\pi\)
\(770\) −1569.91 15673.4i −0.0734746 0.733546i
\(771\) −7755.21 4046.22i −0.362253 0.189003i
\(772\) −16589.6 −0.773411
\(773\) 7055.10 12219.8i 0.328272 0.568584i −0.653897 0.756584i \(-0.726867\pi\)