Properties

Label 63.4.s.a.47.5
Level $63$
Weight $4$
Character 63.47
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.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.5
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.16085 + 1.82492i) q^{2} +(-3.78544 + 3.55956i) q^{3} +(2.66064 - 4.60836i) q^{4} -12.2314 q^{5} +(5.46929 - 18.1593i) q^{6} +(4.78838 + 17.8905i) q^{7} -9.77690i q^{8} +(1.65907 - 26.9490i) q^{9} +O(q^{10})\) \(q+(-3.16085 + 1.82492i) q^{2} +(-3.78544 + 3.55956i) q^{3} +(2.66064 - 4.60836i) q^{4} -12.2314 q^{5} +(5.46929 - 18.1593i) q^{6} +(4.78838 + 17.8905i) q^{7} -9.77690i q^{8} +(1.65907 - 26.9490i) q^{9} +(38.6615 - 22.3212i) q^{10} +10.0114i q^{11} +(6.33205 + 26.9153i) q^{12} +(57.0263 - 32.9241i) q^{13} +(-47.7841 - 47.8109i) q^{14} +(46.3010 - 43.5383i) q^{15} +(39.1271 + 67.7702i) q^{16} +(-38.6818 - 66.9989i) q^{17} +(43.9356 + 88.2093i) q^{18} +(-104.262 - 60.1959i) q^{19} +(-32.5432 + 56.3665i) q^{20} +(-81.8086 - 50.6790i) q^{21} +(-18.2699 - 31.6444i) q^{22} +122.606i q^{23} +(34.8015 + 37.0098i) q^{24} +24.6062 q^{25} +(-120.168 + 208.136i) q^{26} +(89.6462 + 107.919i) q^{27} +(95.1861 + 25.5337i) q^{28} +(-50.3417 - 29.0648i) q^{29} +(-66.8969 + 222.113i) q^{30} +(-174.476 - 100.734i) q^{31} +(-179.613 - 103.700i) q^{32} +(-35.6361 - 37.8974i) q^{33} +(244.535 + 141.182i) q^{34} +(-58.5684 - 218.826i) q^{35} +(-119.776 - 79.3470i) q^{36} +(82.9121 - 143.608i) q^{37} +439.410 q^{38} +(-98.6739 + 327.621i) q^{39} +119.585i q^{40} +(-112.422 - 194.721i) q^{41} +(351.069 + 10.8948i) q^{42} +(152.402 - 263.969i) q^{43} +(46.1360 + 26.6366i) q^{44} +(-20.2926 + 329.623i) q^{45} +(-223.746 - 387.539i) q^{46} +(11.2933 + 19.5606i) q^{47} +(-389.345 - 117.264i) q^{48} +(-297.143 + 171.333i) q^{49} +(-77.7763 + 44.9042i) q^{50} +(384.914 + 115.930i) q^{51} -350.397i q^{52} +(360.132 - 207.922i) q^{53} +(-480.301 - 177.519i) q^{54} -122.453i q^{55} +(174.914 - 46.8155i) q^{56} +(608.949 - 143.260i) q^{57} +212.163 q^{58} +(180.334 - 312.348i) q^{59} +(-77.4496 - 329.211i) q^{60} +(-635.689 + 367.015i) q^{61} +735.324 q^{62} +(490.076 - 99.3604i) q^{63} +130.940 q^{64} +(-697.509 + 402.707i) q^{65} +(181.800 + 54.7551i) q^{66} +(55.6457 - 96.3811i) q^{67} -411.673 q^{68} +(-436.423 - 464.117i) q^{69} +(584.464 + 584.792i) q^{70} +455.487i q^{71} +(-263.478 - 16.2205i) q^{72} +(-662.747 + 382.637i) q^{73} +605.230i q^{74} +(-93.1451 + 87.5871i) q^{75} +(-554.808 + 320.319i) q^{76} +(-179.109 + 47.9383i) q^{77} +(-285.987 - 1215.63i) q^{78} +(21.5683 + 37.3573i) q^{79} +(-478.578 - 828.921i) q^{80} +(-723.495 - 89.4203i) q^{81} +(710.697 + 410.321i) q^{82} +(-200.064 + 346.522i) q^{83} +(-451.210 + 242.165i) q^{84} +(473.131 + 819.488i) q^{85} +1112.49i q^{86} +(294.023 - 69.1714i) q^{87} +97.8802 q^{88} +(347.632 - 602.117i) q^{89} +(-537.392 - 1078.92i) q^{90} +(862.094 + 862.577i) q^{91} +(565.012 + 326.210i) q^{92} +(1019.04 - 239.737i) q^{93} +(-71.3928 - 41.2186i) q^{94} +(1275.27 + 736.277i) q^{95} +(1049.04 - 246.795i) q^{96} +(-955.178 - 551.472i) q^{97} +(626.554 - 1083.82i) q^{98} +(269.796 + 16.6095i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.16085 + 1.82492i −1.11753 + 0.645205i −0.940769 0.339049i \(-0.889895\pi\)
−0.176759 + 0.984254i \(0.556561\pi\)
\(3\) −3.78544 + 3.55956i −0.728508 + 0.685038i
\(4\) 2.66064 4.60836i 0.332580 0.576045i
\(5\) −12.2314 −1.09401 −0.547003 0.837131i \(-0.684231\pi\)
−0.547003 + 0.837131i \(0.684231\pi\)
\(6\) 5.46929 18.1593i 0.372138 1.23559i
\(7\) 4.78838 + 17.8905i 0.258548 + 0.965998i
\(8\) 9.77690i 0.432082i
\(9\) 1.65907 26.9490i 0.0614469 0.998110i
\(10\) 38.6615 22.3212i 1.22258 0.705858i
\(11\) 10.0114i 0.274413i 0.990542 + 0.137206i \(0.0438124\pi\)
−0.990542 + 0.137206i \(0.956188\pi\)
\(12\) 6.33205 + 26.9153i 0.152326 + 0.647483i
\(13\) 57.0263 32.9241i 1.21663 0.702424i 0.252437 0.967613i \(-0.418768\pi\)
0.964196 + 0.265189i \(0.0854345\pi\)
\(14\) −47.7841 47.8109i −0.912202 0.912714i
\(15\) 46.3010 43.5383i 0.796992 0.749435i
\(16\) 39.1271 + 67.7702i 0.611361 + 1.05891i
\(17\) −38.6818 66.9989i −0.551866 0.955860i −0.998140 0.0609637i \(-0.980583\pi\)
0.446274 0.894896i \(-0.352751\pi\)
\(18\) 43.9356 + 88.2093i 0.575317 + 1.15506i
\(19\) −104.262 60.1959i −1.25892 0.726836i −0.286053 0.958214i \(-0.592343\pi\)
−0.972864 + 0.231378i \(0.925677\pi\)
\(20\) −32.5432 + 56.3665i −0.363844 + 0.630196i
\(21\) −81.8086 50.6790i −0.850100 0.526622i
\(22\) −18.2699 31.6444i −0.177053 0.306664i
\(23\) 122.606i 1.11153i 0.831341 + 0.555763i \(0.187574\pi\)
−0.831341 + 0.555763i \(0.812426\pi\)
\(24\) 34.8015 + 37.0098i 0.295993 + 0.314775i
\(25\) 24.6062 0.196849
\(26\) −120.168 + 208.136i −0.906415 + 1.56996i
\(27\) 89.6462 + 107.919i 0.638979 + 0.769225i
\(28\) 95.1861 + 25.5337i 0.642446 + 0.172336i
\(29\) −50.3417 29.0648i −0.322352 0.186110i 0.330088 0.943950i \(-0.392922\pi\)
−0.652441 + 0.757840i \(0.726255\pi\)
\(30\) −66.8969 + 222.113i −0.407121 + 1.35174i
\(31\) −174.476 100.734i −1.01087 0.583624i −0.0994218 0.995045i \(-0.531699\pi\)
−0.911445 + 0.411421i \(0.865033\pi\)
\(32\) −179.613 103.700i −0.992233 0.572866i
\(33\) −35.6361 37.8974i −0.187983 0.199912i
\(34\) 244.535 + 141.182i 1.23345 + 0.712134i
\(35\) −58.5684 218.826i −0.282853 1.05681i
\(36\) −119.776 79.3470i −0.554520 0.367347i
\(37\) 82.9121 143.608i 0.368396 0.638081i −0.620919 0.783875i \(-0.713240\pi\)
0.989315 + 0.145794i \(0.0465737\pi\)
\(38\) 439.410 1.87583
\(39\) −98.6739 + 327.621i −0.405140 + 1.34516i
\(40\) 119.585i 0.472700i
\(41\) −112.422 194.721i −0.428228 0.741713i 0.568487 0.822692i \(-0.307529\pi\)
−0.996716 + 0.0809786i \(0.974195\pi\)
\(42\) 351.069 + 10.8948i 1.28979 + 0.0400262i
\(43\) 152.402 263.969i 0.540492 0.936159i −0.458384 0.888754i \(-0.651572\pi\)
0.998876 0.0474048i \(-0.0150951\pi\)
\(44\) 46.1360 + 26.6366i 0.158074 + 0.0912641i
\(45\) −20.2926 + 329.623i −0.0672233 + 1.09194i
\(46\) −223.746 387.539i −0.717163 1.24216i
\(47\) 11.2933 + 19.5606i 0.0350489 + 0.0607064i 0.883018 0.469340i \(-0.155508\pi\)
−0.847969 + 0.530046i \(0.822175\pi\)
\(48\) −389.345 117.264i −1.17077 0.352618i
\(49\) −297.143 + 171.333i −0.866306 + 0.499514i
\(50\) −77.7763 + 44.9042i −0.219985 + 0.127008i
\(51\) 384.914 + 115.930i 1.05684 + 0.318302i
\(52\) 350.397i 0.934447i
\(53\) 360.132 207.922i 0.933358 0.538875i 0.0454860 0.998965i \(-0.485516\pi\)
0.887872 + 0.460090i \(0.152183\pi\)
\(54\) −480.301 177.519i −1.21038 0.447358i
\(55\) 122.453i 0.300209i
\(56\) 174.914 46.8155i 0.417391 0.111714i
\(57\) 608.949 143.260i 1.41504 0.332900i
\(58\) 212.163 0.480317
\(59\) 180.334 312.348i 0.397924 0.689225i −0.595545 0.803322i \(-0.703064\pi\)
0.993470 + 0.114096i \(0.0363973\pi\)
\(60\) −77.4496 329.211i −0.166645 0.708350i
\(61\) −635.689 + 367.015i −1.33429 + 0.770353i −0.985954 0.167017i \(-0.946586\pi\)
−0.348336 + 0.937370i \(0.613253\pi\)
\(62\) 735.324 1.50623
\(63\) 490.076 99.3604i 0.980060 0.198702i
\(64\) 130.940 0.255742
\(65\) −697.509 + 402.707i −1.33100 + 0.768456i
\(66\) 181.800 + 54.7551i 0.339061 + 0.102120i
\(67\) 55.6457 96.3811i 0.101466 0.175744i −0.810823 0.585291i \(-0.800980\pi\)
0.912289 + 0.409548i \(0.134313\pi\)
\(68\) −411.673 −0.734158
\(69\) −436.423 464.117i −0.761437 0.809755i
\(70\) 584.464 + 584.792i 0.997955 + 0.998514i
\(71\) 455.487i 0.761358i 0.924707 + 0.380679i \(0.124310\pi\)
−0.924707 + 0.380679i \(0.875690\pi\)
\(72\) −263.478 16.2205i −0.431266 0.0265501i
\(73\) −662.747 + 382.637i −1.06258 + 0.613483i −0.926146 0.377166i \(-0.876899\pi\)
−0.136438 + 0.990649i \(0.543565\pi\)
\(74\) 605.230i 0.950765i
\(75\) −93.1451 + 87.5871i −0.143406 + 0.134849i
\(76\) −554.808 + 320.319i −0.837380 + 0.483462i
\(77\) −179.109 + 47.9383i −0.265082 + 0.0709490i
\(78\) −285.987 1215.63i −0.415149 1.76465i
\(79\) 21.5683 + 37.3573i 0.0307167 + 0.0532029i 0.880975 0.473163i \(-0.156888\pi\)
−0.850258 + 0.526366i \(0.823554\pi\)
\(80\) −478.578 828.921i −0.668833 1.15845i
\(81\) −723.495 89.4203i −0.992449 0.122662i
\(82\) 710.697 + 410.321i 0.957115 + 0.552590i
\(83\) −200.064 + 346.522i −0.264577 + 0.458262i −0.967453 0.253051i \(-0.918566\pi\)
0.702875 + 0.711313i \(0.251899\pi\)
\(84\) −451.210 + 242.165i −0.586084 + 0.314552i
\(85\) 473.131 + 819.488i 0.603745 + 1.04572i
\(86\) 1112.49i 1.39491i
\(87\) 294.023 69.1714i 0.362329 0.0852408i
\(88\) 97.8802 0.118569
\(89\) 347.632 602.117i 0.414033 0.717127i −0.581293 0.813694i \(-0.697453\pi\)
0.995326 + 0.0965674i \(0.0307863\pi\)
\(90\) −537.392 1078.92i −0.629401 1.26365i
\(91\) 862.094 + 862.577i 0.993099 + 0.993656i
\(92\) 565.012 + 326.210i 0.640289 + 0.369671i
\(93\) 1019.04 239.737i 1.13623 0.267307i
\(94\) −71.3928 41.2186i −0.0783362 0.0452274i
\(95\) 1275.27 + 736.277i 1.37726 + 0.795163i
\(96\) 1049.04 246.795i 1.11528 0.262380i
\(97\) −955.178 551.472i −0.999831 0.577253i −0.0916328 0.995793i \(-0.529209\pi\)
−0.908198 + 0.418540i \(0.862542\pi\)
\(98\) 626.554 1083.82i 0.645832 1.11717i
\(99\) 269.796 + 16.6095i 0.273894 + 0.0168618i
\(100\) 65.4681 113.394i 0.0654681 0.113394i
\(101\) −704.387 −0.693951 −0.346976 0.937874i \(-0.612791\pi\)
−0.346976 + 0.937874i \(0.612791\pi\)
\(102\) −1428.22 + 336.000i −1.38642 + 0.326166i
\(103\) 1038.72i 0.993672i −0.867845 0.496836i \(-0.834495\pi\)
0.867845 0.496836i \(-0.165505\pi\)
\(104\) −321.896 557.540i −0.303505 0.525686i
\(105\) 1000.63 + 619.873i 0.930014 + 0.576128i
\(106\) −758.882 + 1314.42i −0.695369 + 1.20442i
\(107\) 50.4942 + 29.1528i 0.0456211 + 0.0263394i 0.522637 0.852555i \(-0.324948\pi\)
−0.477016 + 0.878895i \(0.658282\pi\)
\(108\) 735.846 125.988i 0.655619 0.112252i
\(109\) −444.694 770.232i −0.390770 0.676834i 0.601781 0.798661i \(-0.294458\pi\)
−0.992551 + 0.121827i \(0.961125\pi\)
\(110\) 223.466 + 387.054i 0.193697 + 0.335493i
\(111\) 197.323 + 838.749i 0.168730 + 0.717212i
\(112\) −1025.09 + 1024.51i −0.864838 + 0.864353i
\(113\) −2032.03 + 1173.20i −1.69166 + 0.976681i −0.738481 + 0.674274i \(0.764457\pi\)
−0.953179 + 0.302407i \(0.902210\pi\)
\(114\) −1663.36 + 1564.11i −1.36656 + 1.28502i
\(115\) 1499.64i 1.21602i
\(116\) −267.882 + 154.662i −0.214416 + 0.123793i
\(117\) −792.661 1591.42i −0.626338 1.25750i
\(118\) 1316.38i 1.02697i
\(119\) 1013.42 1012.86i 0.780675 0.780238i
\(120\) −425.669 452.681i −0.323818 0.344366i
\(121\) 1230.77 0.924698
\(122\) 1339.54 2320.16i 0.994071 1.72178i
\(123\) 1118.69 + 336.930i 0.820069 + 0.246991i
\(124\) −928.437 + 536.033i −0.672388 + 0.388203i
\(125\) 1227.95 0.878652
\(126\) −1367.73 + 1208.41i −0.967041 + 0.854395i
\(127\) −1026.54 −0.717251 −0.358625 0.933482i \(-0.616754\pi\)
−0.358625 + 0.933482i \(0.616754\pi\)
\(128\) 1023.03 590.644i 0.706434 0.407860i
\(129\) 362.703 + 1541.72i 0.247552 + 1.05226i
\(130\) 1469.81 2545.79i 0.991624 1.71754i
\(131\) −1431.15 −0.954506 −0.477253 0.878766i \(-0.658368\pi\)
−0.477253 + 0.878766i \(0.658368\pi\)
\(132\) −269.460 + 63.3925i −0.177678 + 0.0418001i
\(133\) 577.689 2153.55i 0.376632 1.40403i
\(134\) 406.195i 0.261865i
\(135\) −1096.50 1320.00i −0.699046 0.841536i
\(136\) −655.042 + 378.189i −0.413010 + 0.238451i
\(137\) 2527.45i 1.57616i 0.615571 + 0.788081i \(0.288925\pi\)
−0.615571 + 0.788081i \(0.711075\pi\)
\(138\) 2226.44 + 670.567i 1.37339 + 0.413641i
\(139\) −247.028 + 142.622i −0.150739 + 0.0870290i −0.573472 0.819225i \(-0.694404\pi\)
0.422734 + 0.906254i \(0.361071\pi\)
\(140\) −1164.26 312.311i −0.702840 0.188537i
\(141\) −112.377 33.8461i −0.0671195 0.0202153i
\(142\) −831.226 1439.73i −0.491232 0.850839i
\(143\) 329.616 + 570.911i 0.192754 + 0.333860i
\(144\) 1891.25 942.001i 1.09447 0.545139i
\(145\) 615.748 + 355.502i 0.352656 + 0.203606i
\(146\) 1396.56 2418.91i 0.791645 1.37117i
\(147\) 514.944 1706.27i 0.288924 0.957352i
\(148\) −441.198 764.177i −0.245042 0.424425i
\(149\) 1884.28i 1.03601i −0.855376 0.518007i \(-0.826674\pi\)
0.855376 0.518007i \(-0.173326\pi\)
\(150\) 134.578 446.831i 0.0732551 0.243224i
\(151\) −400.447 −0.215814 −0.107907 0.994161i \(-0.534415\pi\)
−0.107907 + 0.994161i \(0.534415\pi\)
\(152\) −588.529 + 1019.36i −0.314053 + 0.543955i
\(153\) −1869.73 + 931.280i −0.987964 + 0.492089i
\(154\) 478.652 478.384i 0.250460 0.250320i
\(155\) 2134.08 + 1232.11i 1.10589 + 0.638489i
\(156\) 1247.26 + 1326.40i 0.640132 + 0.680752i
\(157\) 1698.99 + 980.915i 0.863659 + 0.498634i 0.865236 0.501365i \(-0.167169\pi\)
−0.00157672 + 0.999999i \(0.500502\pi\)
\(158\) −136.348 78.7205i −0.0686536 0.0396372i
\(159\) −623.146 + 2068.99i −0.310809 + 1.03196i
\(160\) 2196.92 + 1268.39i 1.08551 + 0.626719i
\(161\) −2193.49 + 587.084i −1.07373 + 0.287383i
\(162\) 2450.04 1037.67i 1.18823 0.503255i
\(163\) 1092.64 1892.50i 0.525043 0.909400i −0.474532 0.880238i \(-0.657383\pi\)
0.999575 0.0291623i \(-0.00928395\pi\)
\(164\) −1196.46 −0.569680
\(165\) 435.878 + 463.537i 0.205655 + 0.218705i
\(166\) 1460.40i 0.682827i
\(167\) 724.771 + 1255.34i 0.335835 + 0.581683i 0.983645 0.180119i \(-0.0576482\pi\)
−0.647810 + 0.761802i \(0.724315\pi\)
\(168\) −495.483 + 799.834i −0.227544 + 0.367313i
\(169\) 1069.50 1852.42i 0.486798 0.843160i
\(170\) −2990.99 1726.85i −1.34940 0.779079i
\(171\) −1795.20 + 2709.89i −0.802819 + 1.21188i
\(172\) −810.975 1404.65i −0.359513 0.622695i
\(173\) −922.964 1598.62i −0.405617 0.702549i 0.588776 0.808296i \(-0.299610\pi\)
−0.994393 + 0.105747i \(0.966277\pi\)
\(174\) −803.131 + 755.208i −0.349915 + 0.329035i
\(175\) 117.824 + 440.218i 0.0508951 + 0.190156i
\(176\) −678.472 + 391.716i −0.290578 + 0.167765i
\(177\) 429.178 + 1824.29i 0.182254 + 0.774699i
\(178\) 2537.60i 1.06855i
\(179\) 389.538 224.900i 0.162656 0.0939096i −0.416462 0.909153i \(-0.636730\pi\)
0.579118 + 0.815243i \(0.303397\pi\)
\(180\) 1465.03 + 970.522i 0.606648 + 0.401880i
\(181\) 3067.12i 1.25954i 0.776781 + 0.629771i \(0.216851\pi\)
−0.776781 + 0.629771i \(0.783149\pi\)
\(182\) −4299.08 1153.23i −1.75093 0.469686i
\(183\) 1099.95 3652.09i 0.444320 1.47525i
\(184\) 1198.71 0.480271
\(185\) −1014.13 + 1756.52i −0.403028 + 0.698064i
\(186\) −2783.52 + 2617.43i −1.09730 + 1.03182i
\(187\) 670.751 387.258i 0.262300 0.151439i
\(188\) 120.189 0.0466261
\(189\) −1501.47 + 2120.58i −0.577863 + 0.816134i
\(190\) −5374.58 −2.05217
\(191\) −4503.79 + 2600.27i −1.70619 + 0.985071i −0.767023 + 0.641619i \(0.778263\pi\)
−0.939170 + 0.343452i \(0.888404\pi\)
\(192\) −495.664 + 466.088i −0.186310 + 0.175193i
\(193\) −1188.11 + 2057.87i −0.443119 + 0.767505i −0.997919 0.0644786i \(-0.979462\pi\)
0.554800 + 0.831984i \(0.312795\pi\)
\(194\) 4025.56 1.48979
\(195\) 1206.92 4007.25i 0.443226 1.47161i
\(196\) −1.02330 + 1825.20i −0.000372923 + 0.665159i
\(197\) 148.115i 0.0535672i 0.999641 + 0.0267836i \(0.00852651\pi\)
−0.999641 + 0.0267836i \(0.991473\pi\)
\(198\) −883.096 + 439.855i −0.316964 + 0.157875i
\(199\) −1479.37 + 854.117i −0.526985 + 0.304255i −0.739788 0.672840i \(-0.765074\pi\)
0.212803 + 0.977095i \(0.431741\pi\)
\(200\) 240.572i 0.0850551i
\(201\) 132.431 + 562.919i 0.0464725 + 0.197538i
\(202\) 2226.46 1285.45i 0.775510 0.447741i
\(203\) 278.930 1039.81i 0.0964386 0.359510i
\(204\) 1558.36 1465.38i 0.534839 0.502926i
\(205\) 1375.07 + 2381.70i 0.468484 + 0.811439i
\(206\) 1895.58 + 3283.24i 0.641122 + 1.11046i
\(207\) 3304.10 + 203.411i 1.10943 + 0.0682999i
\(208\) 4462.55 + 2576.45i 1.48761 + 0.858869i
\(209\) 602.643 1043.81i 0.199453 0.345463i
\(210\) −4294.05 133.258i −1.41104 0.0437889i
\(211\) 545.976 + 945.659i 0.178135 + 0.308540i 0.941242 0.337733i \(-0.109660\pi\)
−0.763106 + 0.646273i \(0.776327\pi\)
\(212\) 2212.82i 0.716875i
\(213\) −1621.33 1724.22i −0.521559 0.554655i
\(214\) −212.806 −0.0679772
\(215\) −1864.09 + 3228.70i −0.591301 + 1.02416i
\(216\) 1055.12 876.462i 0.332368 0.276091i
\(217\) 966.726 3603.83i 0.302422 1.12739i
\(218\) 2811.22 + 1623.06i 0.873393 + 0.504254i
\(219\) 1146.77 3807.53i 0.353841 1.17484i
\(220\) −564.306 325.802i −0.172934 0.0998435i
\(221\) −4411.76 2547.13i −1.34284 0.775288i
\(222\) −2154.35 2291.06i −0.651310 0.692639i
\(223\) 1063.36 + 613.931i 0.319317 + 0.184358i 0.651088 0.759002i \(-0.274313\pi\)
−0.331771 + 0.943360i \(0.607646\pi\)
\(224\) 995.188 3709.93i 0.296847 1.10661i
\(225\) 40.8233 663.111i 0.0120958 0.196477i
\(226\) 4281.96 7416.58i 1.26032 2.18294i
\(227\) −2263.45 −0.661809 −0.330905 0.943664i \(-0.607354\pi\)
−0.330905 + 0.943664i \(0.607354\pi\)
\(228\) 959.998 3187.42i 0.278848 0.925842i
\(229\) 5152.41i 1.48682i −0.668839 0.743408i \(-0.733208\pi\)
0.668839 0.743408i \(-0.266792\pi\)
\(230\) 2736.71 + 4740.12i 0.784580 + 1.35893i
\(231\) 507.366 819.016i 0.144512 0.233278i
\(232\) −284.164 + 492.186i −0.0804149 + 0.139283i
\(233\) −361.488 208.705i −0.101639 0.0586812i 0.448319 0.893874i \(-0.352023\pi\)
−0.549958 + 0.835192i \(0.685356\pi\)
\(234\) 5409.69 + 3583.70i 1.51129 + 1.00117i
\(235\) −138.132 239.252i −0.0383437 0.0664132i
\(236\) −959.609 1662.09i −0.264683 0.458445i
\(237\) −214.621 64.6403i −0.0588233 0.0177166i
\(238\) −1354.90 + 5050.89i −0.369013 + 1.37563i
\(239\) 4832.69 2790.15i 1.30795 0.755146i 0.326198 0.945302i \(-0.394233\pi\)
0.981754 + 0.190155i \(0.0608992\pi\)
\(240\) 4762.22 + 1434.30i 1.28083 + 0.385766i
\(241\) 2773.85i 0.741409i −0.928751 0.370704i \(-0.879116\pi\)
0.928751 0.370704i \(-0.120884\pi\)
\(242\) −3890.28 + 2246.06i −1.03338 + 0.596620i
\(243\) 3057.04 2236.83i 0.807034 0.590505i
\(244\) 3905.98i 1.02481i
\(245\) 3634.46 2095.64i 0.947744 0.546472i
\(246\) −4150.86 + 976.524i −1.07581 + 0.253093i
\(247\) −7927.59 −2.04219
\(248\) −984.866 + 1705.84i −0.252174 + 0.436778i
\(249\) −476.134 2023.88i −0.121180 0.515093i
\(250\) −3881.37 + 2240.91i −0.981918 + 0.566911i
\(251\) 3751.34 0.943357 0.471678 0.881771i \(-0.343648\pi\)
0.471678 + 0.881771i \(0.343648\pi\)
\(252\) 846.026 2522.81i 0.211487 0.630643i
\(253\) −1227.45 −0.305017
\(254\) 3244.74 1873.35i 0.801548 0.462774i
\(255\) −4708.03 1417.98i −1.15619 0.348225i
\(256\) −2679.51 + 4641.05i −0.654178 + 1.13307i
\(257\) 7511.72 1.82322 0.911612 0.411052i \(-0.134839\pi\)
0.911612 + 0.411052i \(0.134839\pi\)
\(258\) −3959.96 4211.25i −0.955567 1.01620i
\(259\) 2966.24 + 795.692i 0.711633 + 0.190895i
\(260\) 4285.83i 1.02229i
\(261\) −866.787 + 1308.44i −0.205566 + 0.310307i
\(262\) 4523.65 2611.73i 1.06669 0.615852i
\(263\) 5534.91i 1.29771i −0.760913 0.648854i \(-0.775248\pi\)
0.760913 0.648854i \(-0.224752\pi\)
\(264\) −370.519 + 348.410i −0.0863784 + 0.0812242i
\(265\) −4404.91 + 2543.17i −1.02110 + 0.589532i
\(266\) 2104.06 + 7861.28i 0.484993 + 1.81205i
\(267\) 827.331 + 3516.70i 0.189632 + 0.806061i
\(268\) −296.106 512.870i −0.0674908 0.116898i
\(269\) −411.958 713.532i −0.0933737 0.161728i 0.815555 0.578680i \(-0.196432\pi\)
−0.908929 + 0.416952i \(0.863098\pi\)
\(270\) 5874.74 + 2171.30i 1.32417 + 0.489412i
\(271\) −3757.66 2169.49i −0.842294 0.486299i 0.0157492 0.999876i \(-0.494987\pi\)
−0.858043 + 0.513577i \(0.828320\pi\)
\(272\) 3027.02 5242.95i 0.674779 1.16875i
\(273\) −6333.80 196.557i −1.40417 0.0435758i
\(274\) −4612.38 7988.87i −1.01695 1.76141i
\(275\) 246.341i 0.0540180i
\(276\) −3299.98 + 776.347i −0.719694 + 0.169314i
\(277\) −2642.56 −0.573199 −0.286599 0.958051i \(-0.592525\pi\)
−0.286599 + 0.958051i \(0.592525\pi\)
\(278\) 520.546 901.612i 0.112303 0.194515i
\(279\) −3004.15 + 4534.84i −0.644636 + 0.973095i
\(280\) −2139.44 + 572.618i −0.456628 + 0.122216i
\(281\) −3315.71 1914.33i −0.703910 0.406403i 0.104892 0.994484i \(-0.466550\pi\)
−0.808802 + 0.588081i \(0.799884\pi\)
\(282\) 416.973 98.0963i 0.0880510 0.0207147i
\(283\) 6229.03 + 3596.33i 1.30840 + 0.755406i 0.981829 0.189766i \(-0.0607731\pi\)
0.326572 + 0.945172i \(0.394106\pi\)
\(284\) 2099.05 + 1211.89i 0.438576 + 0.253212i
\(285\) −7448.28 + 1752.27i −1.54806 + 0.364194i
\(286\) −2083.73 1203.04i −0.430816 0.248732i
\(287\) 2945.34 2943.69i 0.605776 0.605437i
\(288\) −3092.59 + 4668.35i −0.632753 + 0.955157i
\(289\) −536.069 + 928.499i −0.109112 + 0.188988i
\(290\) −2595.05 −0.525470
\(291\) 5578.76 1312.45i 1.12382 0.264389i
\(292\) 4072.23i 0.816128i
\(293\) −1871.73 3241.93i −0.373199 0.646400i 0.616856 0.787076i \(-0.288406\pi\)
−0.990056 + 0.140675i \(0.955073\pi\)
\(294\) 1486.14 + 6332.99i 0.294808 + 1.25628i
\(295\) −2205.74 + 3820.45i −0.435332 + 0.754017i
\(296\) −1404.04 810.623i −0.275703 0.159177i
\(297\) −1080.42 + 897.482i −0.211085 + 0.175344i
\(298\) 3438.65 + 5955.92i 0.668442 + 1.15778i
\(299\) 4036.69 + 6991.76i 0.780763 + 1.35232i
\(300\) 155.808 + 662.283i 0.0299852 + 0.127457i
\(301\) 5452.30 + 1462.58i 1.04407 + 0.280072i
\(302\) 1265.75 730.781i 0.241178 0.139244i
\(303\) 2666.41 2507.31i 0.505549 0.475383i
\(304\) 9421.17i 1.77744i
\(305\) 7775.35 4489.10i 1.45972 0.842771i
\(306\) 4210.42 6355.73i 0.786580 1.18736i
\(307\) 4199.35i 0.780682i 0.920670 + 0.390341i \(0.127643\pi\)
−0.920670 + 0.390341i \(0.872357\pi\)
\(308\) −255.627 + 952.944i −0.0472912 + 0.176296i
\(309\) 3697.39 + 3932.01i 0.680703 + 0.723898i
\(310\) −8994.02 −1.64783
\(311\) 1241.68 2150.64i 0.226395 0.392128i −0.730342 0.683082i \(-0.760639\pi\)
0.956737 + 0.290954i \(0.0939725\pi\)
\(312\) 3203.11 + 964.725i 0.581220 + 0.175054i
\(313\) −710.623 + 410.278i −0.128328 + 0.0740904i −0.562790 0.826600i \(-0.690272\pi\)
0.434462 + 0.900690i \(0.356939\pi\)
\(314\) −7160.35 −1.28688
\(315\) −5994.30 + 1215.31i −1.07219 + 0.217381i
\(316\) 229.541 0.0408630
\(317\) −3579.71 + 2066.74i −0.634247 + 0.366183i −0.782395 0.622782i \(-0.786002\pi\)
0.148148 + 0.988965i \(0.452669\pi\)
\(318\) −1806.06 7676.95i −0.318488 1.35378i
\(319\) 290.979 503.990i 0.0510711 0.0884577i
\(320\) −1601.57 −0.279783
\(321\) −294.914 + 69.3809i −0.0512788 + 0.0120638i
\(322\) 5861.90 5858.61i 1.01451 1.01394i
\(323\) 9313.95i 1.60446i
\(324\) −2337.04 + 3096.21i −0.400727 + 0.530900i
\(325\) 1403.20 810.137i 0.239494 0.138272i
\(326\) 7975.88i 1.35504i
\(327\) 4425.05 + 1332.75i 0.748336 + 0.225386i
\(328\) −1903.76 + 1099.14i −0.320481 + 0.185030i
\(329\) −295.872 + 295.707i −0.0495805 + 0.0495527i
\(330\) −2223.66 669.729i −0.370935 0.111719i
\(331\) 4444.19 + 7697.57i 0.737991 + 1.27824i 0.953399 + 0.301713i \(0.0975584\pi\)
−0.215408 + 0.976524i \(0.569108\pi\)
\(332\) 1064.60 + 1843.94i 0.175986 + 0.304817i
\(333\) −3732.53 2472.65i −0.614238 0.406908i
\(334\) −4581.78 2645.29i −0.750610 0.433365i
\(335\) −680.622 + 1178.87i −0.111004 + 0.192265i
\(336\) 233.589 7527.10i 0.0379266 1.22213i
\(337\) 1800.32 + 3118.24i 0.291007 + 0.504040i 0.974048 0.226341i \(-0.0726763\pi\)
−0.683041 + 0.730380i \(0.739343\pi\)
\(338\) 7806.96i 1.25634i
\(339\) 3516.08 11674.2i 0.563325 1.87037i
\(340\) 5035.32 0.803173
\(341\) 1008.49 1746.75i 0.160154 0.277395i
\(342\) 729.010 11841.6i 0.115264 1.87229i
\(343\) −4488.08 4495.64i −0.706512 0.707701i
\(344\) −2580.80 1490.02i −0.404498 0.233537i
\(345\) 5338.05 + 5676.78i 0.833017 + 0.885877i
\(346\) 5834.70 + 3368.66i 0.906576 + 0.523412i
\(347\) −8104.74 4679.27i −1.25385 0.723909i −0.281976 0.959421i \(-0.590990\pi\)
−0.971871 + 0.235512i \(0.924323\pi\)
\(348\) 463.523 1539.00i 0.0714006 0.237067i
\(349\) −3496.96 2018.97i −0.536355 0.309665i 0.207245 0.978289i \(-0.433550\pi\)
−0.743601 + 0.668624i \(0.766884\pi\)
\(350\) −1175.78 1176.44i −0.179566 0.179667i
\(351\) 8665.33 + 3202.71i 1.31772 + 0.487031i
\(352\) 1038.18 1798.18i 0.157202 0.272282i
\(353\) −4358.17 −0.657117 −0.328558 0.944484i \(-0.606563\pi\)
−0.328558 + 0.944484i \(0.606563\pi\)
\(354\) −4685.74 4983.08i −0.703514 0.748157i
\(355\) 5571.23i 0.832930i
\(356\) −1849.85 3204.03i −0.275398 0.477003i
\(357\) −230.931 + 7441.44i −0.0342358 + 1.10320i
\(358\) −820.847 + 1421.75i −0.121182 + 0.209893i
\(359\) −3099.17 1789.31i −0.455621 0.263053i 0.254580 0.967052i \(-0.418063\pi\)
−0.710201 + 0.703999i \(0.751396\pi\)
\(360\) 3222.69 + 198.399i 0.471807 + 0.0290460i
\(361\) 3817.59 + 6612.26i 0.556581 + 0.964026i
\(362\) −5597.23 9694.68i −0.812662 1.40757i
\(363\) −4659.01 + 4381.01i −0.673649 + 0.633453i
\(364\) 6268.78 1677.83i 0.902675 0.241600i
\(365\) 8106.29 4680.17i 1.16247 0.671154i
\(366\) 3187.98 + 13551.0i 0.455297 + 1.93531i
\(367\) 10258.5i 1.45910i 0.683926 + 0.729551i \(0.260271\pi\)
−0.683926 + 0.729551i \(0.739729\pi\)
\(368\) −8309.02 + 4797.22i −1.17700 + 0.679544i
\(369\) −5434.04 + 2706.60i −0.766625 + 0.381843i
\(370\) 7402.79i 1.04014i
\(371\) 5444.30 + 5447.35i 0.761870 + 0.762297i
\(372\) 1606.50 5333.94i 0.223906 0.743420i
\(373\) 9853.78 1.36785 0.683927 0.729551i \(-0.260271\pi\)
0.683927 + 0.729551i \(0.260271\pi\)
\(374\) −1413.43 + 2448.13i −0.195419 + 0.338475i
\(375\) −4648.34 + 4370.97i −0.640105 + 0.601909i
\(376\) 191.242 110.413i 0.0262302 0.0151440i
\(377\) −3827.73 −0.522913
\(378\) 876.050 9442.88i 0.119204 1.28489i
\(379\) −11181.0 −1.51538 −0.757688 0.652617i \(-0.773671\pi\)
−0.757688 + 0.652617i \(0.773671\pi\)
\(380\) 6786.06 3917.93i 0.916099 0.528910i
\(381\) 3885.91 3654.04i 0.522523 0.491344i
\(382\) 9490.53 16438.1i 1.27115 2.20169i
\(383\) −8990.60 −1.19947 −0.599737 0.800198i \(-0.704728\pi\)
−0.599737 + 0.800198i \(0.704728\pi\)
\(384\) −1770.17 + 5877.37i −0.235243 + 0.781063i
\(385\) 2190.74 586.350i 0.290002 0.0776186i
\(386\) 8672.81i 1.14361i
\(387\) −6860.84 4545.03i −0.901178 0.596994i
\(388\) −5082.76 + 2934.53i −0.665047 + 0.383965i
\(389\) 1888.31i 0.246121i −0.992399 0.123061i \(-0.960729\pi\)
0.992399 0.123061i \(-0.0392709\pi\)
\(390\) 3498.01 + 14868.8i 0.454176 + 1.93054i
\(391\) 8214.46 4742.62i 1.06246 0.613414i
\(392\) 1675.11 + 2905.14i 0.215831 + 0.374315i
\(393\) 5417.54 5094.27i 0.695365 0.653873i
\(394\) −270.297 468.168i −0.0345618 0.0598629i
\(395\) −263.809 456.931i −0.0336043 0.0582043i
\(396\) 794.373 1199.13i 0.100805 0.152168i
\(397\) 9137.13 + 5275.32i 1.15511 + 0.666904i 0.950128 0.311861i \(-0.100952\pi\)
0.204984 + 0.978765i \(0.434286\pi\)
\(398\) 3117.38 5399.47i 0.392614 0.680027i
\(399\) 5478.88 + 10208.4i 0.687437 + 1.28086i
\(400\) 962.768 + 1667.56i 0.120346 + 0.208445i
\(401\) 2064.71i 0.257124i 0.991701 + 0.128562i \(0.0410361\pi\)
−0.991701 + 0.128562i \(0.958964\pi\)
\(402\) −1445.87 1537.62i −0.179387 0.190770i
\(403\) −13266.3 −1.63981
\(404\) −1874.12 + 3246.07i −0.230794 + 0.399747i
\(405\) 8849.33 + 1093.73i 1.08574 + 0.134193i
\(406\) 1015.92 + 3795.72i 0.124185 + 0.463986i
\(407\) 1437.71 + 830.064i 0.175098 + 0.101093i
\(408\) 1133.43 3763.27i 0.137533 0.456641i
\(409\) −124.596 71.9353i −0.0150632 0.00869676i 0.492449 0.870341i \(-0.336102\pi\)
−0.507513 + 0.861644i \(0.669435\pi\)
\(410\) −8692.80 5018.79i −1.04709 0.604537i
\(411\) −8996.59 9567.49i −1.07973 1.14825i
\(412\) −4786.80 2763.66i −0.572399 0.330475i
\(413\) 6451.59 + 1730.64i 0.768673 + 0.206196i
\(414\) −10815.0 + 5386.76i −1.28388 + 0.639480i
\(415\) 2447.06 4238.43i 0.289449 0.501341i
\(416\) −13656.9 −1.60958
\(417\) 427.439 1419.20i 0.0501961 0.166663i
\(418\) 4399.09i 0.514753i
\(419\) 1974.15 + 3419.34i 0.230176 + 0.398677i 0.957860 0.287236i \(-0.0927365\pi\)
−0.727684 + 0.685913i \(0.759403\pi\)
\(420\) 5518.91 2962.00i 0.641179 0.344121i
\(421\) 5518.29 9557.95i 0.638824 1.10648i −0.346868 0.937914i \(-0.612755\pi\)
0.985691 0.168561i \(-0.0539120\pi\)
\(422\) −3451.50 1992.72i −0.398143 0.229868i
\(423\) 545.874 271.891i 0.0627453 0.0312524i
\(424\) −2032.84 3520.98i −0.232838 0.403287i
\(425\) −951.812 1648.59i −0.108634 0.188160i
\(426\) 8271.34 + 2491.19i 0.940723 + 0.283330i
\(427\) −9610.03 9615.42i −1.08914 1.08975i
\(428\) 268.694 155.130i 0.0303453 0.0175199i
\(429\) −3279.93 987.861i −0.369130 0.111176i
\(430\) 13607.2i 1.52604i
\(431\) 1481.18 855.162i 0.165536 0.0955724i −0.414943 0.909847i \(-0.636199\pi\)
0.580479 + 0.814275i \(0.302865\pi\)
\(432\) −3806.10 + 10297.9i −0.423892 + 1.14689i
\(433\) 11599.1i 1.28734i 0.765303 + 0.643670i \(0.222589\pi\)
−0.765303 + 0.643670i \(0.777411\pi\)
\(434\) 3521.01 + 13155.3i 0.389433 + 1.45502i
\(435\) −3596.30 + 846.060i −0.396390 + 0.0932539i
\(436\) −4732.67 −0.519849
\(437\) 7380.37 12783.2i 0.807897 1.39932i
\(438\) 3323.68 + 14127.8i 0.362583 + 1.54121i
\(439\) −3706.44 + 2139.92i −0.402959 + 0.232648i −0.687760 0.725938i \(-0.741406\pi\)
0.284801 + 0.958587i \(0.408072\pi\)
\(440\) −1197.21 −0.129715
\(441\) 4124.28 + 8291.95i 0.445339 + 0.895362i
\(442\) 18593.2 2.00088
\(443\) 8038.03 4640.76i 0.862073 0.497718i −0.00263274 0.999997i \(-0.500838\pi\)
0.864706 + 0.502278i \(0.167505\pi\)
\(444\) 4390.26 + 1322.27i 0.469262 + 0.141334i
\(445\) −4252.02 + 7364.71i −0.452955 + 0.784541i
\(446\) −4481.49 −0.475795
\(447\) 6707.20 + 7132.82i 0.709709 + 0.754744i
\(448\) 626.989 + 2342.58i 0.0661216 + 0.247046i
\(449\) 6876.47i 0.722763i −0.932418 0.361382i \(-0.882305\pi\)
0.932418 0.361382i \(-0.117695\pi\)
\(450\) 1081.09 + 2170.49i 0.113251 + 0.227373i
\(451\) 1949.42 1125.50i 0.203536 0.117511i
\(452\) 12485.8i 1.29930i
\(453\) 1515.87 1425.41i 0.157222 0.147841i
\(454\) 7154.43 4130.61i 0.739590 0.427003i
\(455\) −10544.6 10550.5i −1.08646 1.08707i
\(456\) −1400.64 5953.64i −0.143840 0.611414i
\(457\) 5580.75 + 9666.14i 0.571239 + 0.989416i 0.996439 + 0.0843160i \(0.0268705\pi\)
−0.425200 + 0.905100i \(0.639796\pi\)
\(458\) 9402.71 + 16286.0i 0.959301 + 1.66156i
\(459\) 3762.79 10180.7i 0.382640 1.03528i
\(460\) −6910.87 3989.99i −0.700480 0.404422i
\(461\) 193.554 335.245i 0.0195547 0.0338697i −0.856082 0.516839i \(-0.827108\pi\)
0.875637 + 0.482970i \(0.160442\pi\)
\(462\) −109.072 + 3514.68i −0.0109837 + 0.353935i
\(463\) −2485.01 4304.16i −0.249435 0.432033i 0.713934 0.700213i \(-0.246911\pi\)
−0.963369 + 0.268179i \(0.913578\pi\)
\(464\) 4548.89i 0.455122i
\(465\) −12464.2 + 2932.31i −1.24304 + 0.292436i
\(466\) 1523.48 0.151446
\(467\) −4548.20 + 7877.72i −0.450676 + 0.780594i −0.998428 0.0560470i \(-0.982150\pi\)
0.547752 + 0.836641i \(0.315484\pi\)
\(468\) −9442.83 581.331i −0.932681 0.0574189i
\(469\) 1990.76 + 534.021i 0.196002 + 0.0525774i
\(470\) 873.231 + 504.160i 0.0857003 + 0.0494791i
\(471\) −9923.06 + 2334.48i −0.970765 + 0.228380i
\(472\) −3053.80 1763.11i −0.297802 0.171936i
\(473\) 2642.69 + 1525.76i 0.256894 + 0.148318i
\(474\) 796.347 187.347i 0.0771676 0.0181543i
\(475\) −2565.50 1481.19i −0.247817 0.143077i
\(476\) −1971.25 7365.06i −0.189815 0.709195i
\(477\) −5005.82 10050.2i −0.480504 0.964707i
\(478\) −10183.6 + 17638.5i −0.974449 + 1.68779i
\(479\) 13858.1 1.32191 0.660953 0.750427i \(-0.270152\pi\)
0.660953 + 0.750427i \(0.270152\pi\)
\(480\) −12831.2 + 3018.64i −1.22013 + 0.287045i
\(481\) 10919.2i 1.03508i
\(482\) 5062.05 + 8767.72i 0.478361 + 0.828545i
\(483\) 6213.54 10030.2i 0.585354 0.944908i
\(484\) 3274.64 5671.84i 0.307536 0.532667i
\(485\) 11683.1 + 6745.26i 1.09382 + 0.631518i
\(486\) −5580.82 + 12649.1i −0.520887 + 1.18061i
\(487\) −681.295 1180.04i −0.0633931 0.109800i 0.832587 0.553894i \(-0.186859\pi\)
−0.895980 + 0.444094i \(0.853526\pi\)
\(488\) 3588.27 + 6215.07i 0.332856 + 0.576523i
\(489\) 2600.37 + 11053.3i 0.240476 + 1.02218i
\(490\) −7663.61 + 13256.6i −0.706544 + 1.22219i
\(491\) −15324.0 + 8847.30i −1.40847 + 0.813183i −0.995241 0.0974422i \(-0.968934\pi\)
−0.413233 + 0.910625i \(0.635601\pi\)
\(492\) 4529.11 4258.86i 0.415016 0.390252i
\(493\) 4497.12i 0.410832i
\(494\) 25057.9 14467.2i 2.28220 1.31763i
\(495\) −3299.98 203.157i −0.299642 0.0184469i
\(496\) 15765.7i 1.42722i
\(497\) −8148.91 + 2181.05i −0.735470 + 0.196848i
\(498\) 5198.39 + 5528.26i 0.467762 + 0.497445i
\(499\) −14157.8 −1.27012 −0.635059 0.772464i \(-0.719024\pi\)
−0.635059 + 0.772464i \(0.719024\pi\)
\(500\) 3267.14 5658.85i 0.292222 0.506143i
\(501\) −7212.03 2172.15i −0.643133 0.193701i
\(502\) −11857.4 + 6845.88i −1.05423 + 0.608659i
\(503\) −5337.01 −0.473093 −0.236546 0.971620i \(-0.576015\pi\)
−0.236546 + 0.971620i \(0.576015\pi\)
\(504\) −971.437 4791.43i −0.0858556 0.423466i
\(505\) 8615.60 0.759187
\(506\) 3879.79 2240.00i 0.340865 0.196799i
\(507\) 2545.30 + 10819.2i 0.222960 + 0.947724i
\(508\) −2731.25 + 4730.67i −0.238543 + 0.413169i
\(509\) −1521.38 −0.132483 −0.0662417 0.997804i \(-0.521101\pi\)
−0.0662417 + 0.997804i \(0.521101\pi\)
\(510\) 17469.0 4109.73i 1.51675 0.356828i
\(511\) −10019.1 10024.7i −0.867353 0.867839i
\(512\) 10109.2i 0.872595i
\(513\) −2850.43 16648.2i −0.245321 1.43282i
\(514\) −23743.4 + 13708.3i −2.03750 + 1.17635i
\(515\) 12705.0i 1.08708i
\(516\) 8069.83 + 2430.50i 0.688477 + 0.207358i
\(517\) −195.828 + 113.061i −0.0166586 + 0.00961786i
\(518\) −10827.9 + 2898.07i −0.918437 + 0.245819i
\(519\) 9184.21 + 2766.13i 0.776767 + 0.233949i
\(520\) 3937.23 + 6819.47i 0.332036 + 0.575103i
\(521\) −8290.88 14360.2i −0.697178 1.20755i −0.969441 0.245325i \(-0.921105\pi\)
0.272262 0.962223i \(-0.412228\pi\)
\(522\) 351.993 5717.58i 0.0295140 0.479410i
\(523\) 8034.14 + 4638.51i 0.671718 + 0.387816i 0.796727 0.604339i \(-0.206563\pi\)
−0.125009 + 0.992156i \(0.539896\pi\)
\(524\) −3807.78 + 6595.26i −0.317449 + 0.549838i
\(525\) −2013.00 1247.02i −0.167342 0.103665i
\(526\) 10100.8 + 17495.0i 0.837288 + 1.45023i
\(527\) 15586.3i 1.28833i
\(528\) 1173.98 3897.88i 0.0967629 0.321275i
\(529\) −2865.21 −0.235491
\(530\) 9282.16 16077.2i 0.760738 1.31764i
\(531\) −8118.28 5378.04i −0.663472 0.439523i
\(532\) −8387.31 8392.01i −0.683526 0.683910i
\(533\) −12822.0 7402.79i −1.04199 0.601596i
\(534\) −9032.74 9605.93i −0.731994 0.778444i
\(535\) −617.613 356.579i −0.0499098 0.0288154i
\(536\) −942.309 544.042i −0.0759357 0.0438415i
\(537\) −674.028 + 2237.93i −0.0541647 + 0.179839i
\(538\) 2604.27 + 1503.58i 0.208695 + 0.120490i
\(539\) −1715.28 2974.81i −0.137073 0.237725i
\(540\) −9000.40 + 1541.00i −0.717251 + 0.122804i
\(541\) 6256.31 10836.2i 0.497190 0.861158i −0.502805 0.864400i \(-0.667699\pi\)
0.999995 + 0.00324160i \(0.00103183\pi\)
\(542\) 15836.5 1.25505
\(543\) −10917.6 11610.4i −0.862833 0.917585i
\(544\) 16045.2i 1.26458i
\(545\) 5439.21 + 9420.99i 0.427505 + 0.740460i
\(546\) 20378.9 10937.4i 1.59732 0.857282i
\(547\) 4213.76 7298.44i 0.329373 0.570491i −0.653014 0.757346i \(-0.726496\pi\)
0.982388 + 0.186854i \(0.0598292\pi\)
\(548\) 11647.4 + 6724.61i 0.907940 + 0.524199i
\(549\) 8836.04 + 17740.1i 0.686909 + 1.37910i
\(550\) −449.553 778.648i −0.0348527 0.0603666i
\(551\) 3499.16 + 6060.73i 0.270543 + 0.468595i
\(552\) −4537.63 + 4266.87i −0.349881 + 0.329003i
\(553\) −565.066 + 564.749i −0.0434522 + 0.0434278i
\(554\) 8352.73 4822.45i 0.640566 0.369831i
\(555\) −2413.52 10259.0i −0.184592 0.784634i
\(556\) 1517.86i 0.115776i
\(557\) 17760.6 10254.1i 1.35106 0.780035i 0.362662 0.931921i \(-0.381868\pi\)
0.988398 + 0.151886i \(0.0485347\pi\)
\(558\) 1219.95 19816.2i 0.0925532 1.50338i
\(559\) 20070.9i 1.51862i
\(560\) 12538.2 12531.2i 0.946138 0.945607i
\(561\) −1160.62 + 3853.52i −0.0873463 + 0.290010i
\(562\) 13973.9 1.04885
\(563\) 2255.95 3907.43i 0.168876 0.292502i −0.769149 0.639069i \(-0.779320\pi\)
0.938025 + 0.346568i \(0.112653\pi\)
\(564\) −454.970 + 427.821i −0.0339675 + 0.0319407i
\(565\) 24854.5 14349.8i 1.85069 1.06849i
\(566\) −26252.0 −1.94957
\(567\) −1864.59 13371.9i −0.138105 0.990418i
\(568\) 4453.25 0.328969
\(569\) −11133.3 + 6427.82i −0.820268 + 0.473582i −0.850509 0.525960i \(-0.823706\pi\)
0.0302406 + 0.999543i \(0.490373\pi\)
\(570\) 20345.1 19131.1i 1.49502 1.40582i
\(571\) −3099.39 + 5368.30i −0.227155 + 0.393444i −0.956964 0.290208i \(-0.906276\pi\)
0.729809 + 0.683651i \(0.239609\pi\)
\(572\) 3507.95 0.256424
\(573\) 7793.02 25874.7i 0.568164 1.88644i
\(574\) −3937.78 + 14679.5i −0.286341 + 1.06744i
\(575\) 3016.86i 0.218803i
\(576\) 217.238 3528.69i 0.0157145 0.255258i
\(577\) 15660.3 9041.50i 1.12989 0.652344i 0.185985 0.982553i \(-0.440452\pi\)
0.943908 + 0.330209i \(0.107119\pi\)
\(578\) 3913.12i 0.281599i
\(579\) −2827.59 12019.1i −0.202954 0.862687i
\(580\) 3276.56 1891.72i 0.234572 0.135430i
\(581\) −7157.45 1919.98i −0.511086 0.137099i
\(582\) −15238.5 + 14329.2i −1.08532 + 1.02056i
\(583\) 2081.59 + 3605.42i 0.147874 + 0.256126i
\(584\) 3741.00 + 6479.61i 0.265075 + 0.459123i
\(585\) 9695.32 + 19465.3i 0.685218 + 1.37571i
\(586\) 11832.5 + 6831.49i 0.834122 + 0.481580i
\(587\) −2442.51 + 4230.56i −0.171743 + 0.297468i −0.939029 0.343837i \(-0.888273\pi\)
0.767286 + 0.641305i \(0.221607\pi\)
\(588\) −6493.02 6912.81i −0.455387 0.484829i
\(589\) 12127.5 + 21005.5i 0.848398 + 1.46947i
\(590\) 16101.1i 1.12351i
\(591\) −527.223 560.679i −0.0366956 0.0390241i
\(592\) 12976.4 0.900893
\(593\) −1304.78 + 2259.95i −0.0903557 + 0.156501i −0.907661 0.419704i \(-0.862134\pi\)
0.817305 + 0.576205i \(0.195467\pi\)
\(594\) 1777.21 4808.48i 0.122761 0.332145i
\(595\) −12395.5 + 12388.6i −0.854063 + 0.853585i
\(596\) −8683.43 5013.38i −0.596791 0.344557i
\(597\) 2559.80 8499.13i 0.175487 0.582657i
\(598\) −25518.7 14733.3i −1.74505 1.00750i
\(599\) 13896.7 + 8023.27i 0.947920 + 0.547282i 0.892434 0.451177i \(-0.148996\pi\)
0.0554860 + 0.998459i \(0.482329\pi\)
\(600\) 856.331 + 910.670i 0.0582659 + 0.0619633i
\(601\) 6848.07 + 3953.74i 0.464790 + 0.268347i 0.714056 0.700088i \(-0.246856\pi\)
−0.249266 + 0.968435i \(0.580189\pi\)
\(602\) −19903.0 + 5327.01i −1.34748 + 0.360652i
\(603\) −2505.05 1659.50i −0.169177 0.112073i
\(604\) −1065.44 + 1845.40i −0.0717753 + 0.124318i
\(605\) −15054.0 −1.01162
\(606\) −3852.49 + 12791.2i −0.258246 + 0.857436i
\(607\) 3703.30i 0.247632i 0.992305 + 0.123816i \(0.0395132\pi\)
−0.992305 + 0.123816i \(0.960487\pi\)
\(608\) 12484.6 + 21624.0i 0.832759 + 1.44238i
\(609\) 2645.41 + 4929.02i 0.176022 + 0.327970i
\(610\) −16384.5 + 28378.7i −1.08752 + 1.88364i
\(611\) 1288.03 + 743.644i 0.0852833 + 0.0492383i
\(612\) −682.993 + 11094.2i −0.0451117 + 0.732770i
\(613\) −4872.57 8439.53i −0.321046 0.556068i 0.659658 0.751566i \(-0.270701\pi\)
−0.980704 + 0.195498i \(0.937368\pi\)
\(614\) −7663.46 13273.5i −0.503700 0.872435i
\(615\) −13683.0 4121.11i −0.897161 0.270210i
\(616\) 468.688 + 1751.13i 0.0306558 + 0.114537i
\(617\) −22722.4 + 13118.8i −1.48261 + 0.855985i −0.999805 0.0197440i \(-0.993715\pi\)
−0.482804 + 0.875729i \(0.660382\pi\)
\(618\) −18862.5 5681.06i −1.22777 0.369783i
\(619\) 5165.08i 0.335383i 0.985839 + 0.167692i \(0.0536313\pi\)
−0.985839 + 0.167692i \(0.946369\pi\)
\(620\) 11356.0 6556.41i 0.735596 0.424697i
\(621\) −13231.5 + 10991.2i −0.855013 + 0.710241i
\(622\) 9063.81i 0.584286i
\(623\) 12436.8 + 3336.17i 0.799791 + 0.214544i
\(624\) −26063.7 + 6131.70i −1.67209 + 0.393373i
\(625\) −18095.3 −1.15810
\(626\) 1497.45 2593.65i 0.0956070 0.165596i
\(627\) 1434.23 + 6096.42i 0.0913520 + 0.388305i
\(628\) 9040.81 5219.72i 0.574471 0.331671i
\(629\) −12828.8 −0.813221
\(630\) 16729.2 14780.5i 1.05795 0.934713i
\(631\) 1350.06 0.0851743 0.0425871 0.999093i \(-0.486440\pi\)
0.0425871 + 0.999093i \(0.486440\pi\)
\(632\) 365.239 210.871i 0.0229880 0.0132721i
\(633\) −5432.89 1636.30i −0.341134 0.102744i
\(634\) 7543.27 13065.3i 0.472526 0.818439i
\(635\) 12556.0 0.784677
\(636\) 7876.68 + 8376.51i 0.491086 + 0.522249i
\(637\) −11303.9 + 19553.7i −0.703106 + 1.21624i
\(638\) 2124.05i 0.131805i
\(639\) 12274.9 + 755.684i 0.759919 + 0.0467831i
\(640\) −12513.0 + 7224.38i −0.772843 + 0.446201i
\(641\) 18082.9i 1.11424i 0.830431 + 0.557122i \(0.188094\pi\)
−0.830431 + 0.557122i \(0.811906\pi\)
\(642\) 805.564 757.496i 0.0495219 0.0465669i
\(643\) −16884.0 + 9748.00i −1.03552 + 0.597859i −0.918562 0.395277i \(-0.870649\pi\)
−0.116961 + 0.993137i \(0.537315\pi\)
\(644\) −3130.58 + 11670.4i −0.191556 + 0.714096i
\(645\) −4436.35 18857.4i −0.270823 1.15117i
\(646\) −16997.2 29440.0i −1.03521 1.79303i
\(647\) 8503.93 + 14729.2i 0.516730 + 0.895002i 0.999811 + 0.0194267i \(0.00618409\pi\)
−0.483082 + 0.875575i \(0.660483\pi\)
\(648\) −874.254 + 7073.54i −0.0529999 + 0.428819i
\(649\) 3127.04 + 1805.40i 0.189132 + 0.109196i
\(650\) −2956.86 + 5121.44i −0.178427 + 0.309045i
\(651\) 9168.57 + 17083.2i 0.551988 + 1.02848i
\(652\) −5814.22 10070.5i −0.349237 0.604896i
\(653\) 4331.50i 0.259578i −0.991542 0.129789i \(-0.958570\pi\)
0.991542 0.129789i \(-0.0414301\pi\)
\(654\) −16419.1 + 3862.72i −0.981707 + 0.230954i
\(655\) 17504.9 1.04424
\(656\) 8797.50 15237.7i 0.523604 0.906909i
\(657\) 9212.13 + 18495.2i 0.547031 + 1.09827i
\(658\) 395.568 1474.63i 0.0234359 0.0873661i
\(659\) 2674.86 + 1544.33i 0.158115 + 0.0912875i 0.576970 0.816766i \(-0.304235\pi\)
−0.418855 + 0.908053i \(0.637568\pi\)
\(660\) 3295.86 775.377i 0.194380 0.0457296i
\(661\) −19561.4 11293.8i −1.15106 0.664564i −0.201914 0.979403i \(-0.564716\pi\)
−0.949145 + 0.314839i \(0.898050\pi\)
\(662\) −28094.8 16220.6i −1.64945 0.952311i
\(663\) 25767.1 6061.92i 1.50937 0.355091i
\(664\) 3387.91 + 1956.01i 0.198007 + 0.114319i
\(665\) −7065.92 + 26340.8i −0.412037 + 1.53602i
\(666\) 16310.3 + 1004.12i 0.948968 + 0.0584216i
\(667\) 3563.52 6172.19i 0.206866 0.358303i
\(668\) 7713.41 0.446768
\(669\) −6210.60 + 1461.09i −0.358917 + 0.0844382i
\(670\) 4968.31i 0.286482i
\(671\) −3674.33 6364.12i −0.211395 0.366146i
\(672\) 9438.51 + 17586.2i 0.541813 + 1.00952i
\(673\) 3978.45 6890.88i 0.227872 0.394686i −0.729305 0.684189i \(-0.760156\pi\)
0.957177 + 0.289502i \(0.0934898\pi\)
\(674\) −11381.0 6570.85i −0.650418 0.375519i
\(675\) 2205.85 + 2655.48i 0.125783 + 0.151421i
\(676\) −5691.08 9857.24i −0.323798 0.560835i
\(677\) −5552.77 9617.67i −0.315229 0.545993i 0.664257 0.747504i \(-0.268748\pi\)
−0.979486 + 0.201511i \(0.935415\pi\)
\(678\) 10190.7 + 43316.9i 0.577241 + 2.45365i
\(679\) 5292.38 19729.3i 0.299121 1.11508i
\(680\) 8012.05 4625.76i 0.451836 0.260867i
\(681\) 8568.16 8056.90i 0.482133 0.453364i
\(682\) 7361.60i 0.413329i
\(683\) 16295.7 9408.31i 0.912938 0.527085i 0.0315626 0.999502i \(-0.489952\pi\)
0.881375 + 0.472417i \(0.156618\pi\)
\(684\) 7711.80 + 15482.9i 0.431094 + 0.865505i
\(685\) 30914.1i 1.72433i
\(686\) 22390.3 + 6019.65i 1.24616 + 0.335031i
\(687\) 18340.3 + 19504.1i 1.01852 + 1.08316i
\(688\) 23852.3 1.32174
\(689\) 13691.3 23714.1i 0.757037 1.31123i
\(690\) −27232.4 8201.95i −1.50249 0.452526i
\(691\) −12726.4 + 7347.58i −0.700629 + 0.404508i −0.807582 0.589756i \(-0.799224\pi\)
0.106953 + 0.994264i \(0.465891\pi\)
\(692\) −9822.69 −0.539599
\(693\) 994.734 + 4906.33i 0.0545264 + 0.268941i
\(694\) 34157.1 1.86828
\(695\) 3021.49 1744.46i 0.164909 0.0952103i
\(696\) −676.282 2874.64i −0.0368310 0.156556i
\(697\) −8697.38 + 15064.3i −0.472649 + 0.818653i
\(698\) 14737.8 0.799190
\(699\) 2111.29 496.697i 0.114243 0.0268767i
\(700\) 2342.17 + 628.285i 0.126465 + 0.0339242i
\(701\) 2167.47i 0.116782i 0.998294 + 0.0583910i \(0.0185970\pi\)
−0.998294 + 0.0583910i \(0.981403\pi\)
\(702\) −33234.5 + 5690.24i −1.78683 + 0.305932i
\(703\) −17289.2 + 9981.93i −0.927560 + 0.535527i
\(704\) 1310.89i 0.0701788i
\(705\) 1374.52 + 413.984i 0.0734292 + 0.0221157i
\(706\) 13775.5 7953.30i 0.734346 0.423975i
\(707\) −3372.87 12601.9i −0.179420 0.670356i
\(708\) 9548.85 + 2875.96i 0.506875 + 0.152663i
\(709\) −17149.1 29703.1i −0.908388 1.57337i −0.816303 0.577623i \(-0.803980\pi\)
−0.0920850 0.995751i \(-0.529353\pi\)
\(710\) 10167.0 + 17609.8i 0.537411 + 0.930823i
\(711\) 1042.53 519.264i 0.0549898 0.0273895i
\(712\) −5886.84 3398.77i −0.309858 0.178896i
\(713\) 12350.6 21391.8i 0.648714 1.12361i
\(714\) −12850.1 23942.7i −0.673532 1.25495i
\(715\) −4031.65 6983.02i −0.210874 0.365245i
\(716\) 2393.51i 0.124930i
\(717\) −8362.11 + 27764.2i −0.435549 + 1.44613i
\(718\) 13061.3 0.678893
\(719\) −7330.37 + 12696.6i −0.380218 + 0.658557i −0.991093 0.133170i \(-0.957484\pi\)
0.610875 + 0.791727i \(0.290818\pi\)
\(720\) −23132.6 + 11521.9i −1.19736 + 0.596386i
\(721\) 18583.3 4973.79i 0.959885 0.256912i
\(722\) −24133.6 13933.6i −1.24399 0.718218i
\(723\) 9873.69 + 10500.2i 0.507893 + 0.540122i
\(724\) 14134.4 + 8160.48i 0.725552 + 0.418898i
\(725\) −1238.72 715.173i −0.0634549 0.0366357i
\(726\) 6731.45 22350.0i 0.344115 1.14254i
\(727\) −9274.34 5354.55i −0.473131 0.273162i 0.244418 0.969670i \(-0.421403\pi\)
−0.717550 + 0.696507i \(0.754736\pi\)
\(728\) 8433.33 8428.61i 0.429341 0.429100i
\(729\) −3610.11 + 19349.1i −0.183413 + 0.983036i
\(730\) −17081.8 + 29586.6i −0.866064 + 1.50007i
\(731\) −23580.8 −1.19312
\(732\) −13903.6 14785.8i −0.702036 0.746585i
\(733\) 15214.2i 0.766644i −0.923615 0.383322i \(-0.874780\pi\)
0.923615 0.383322i \(-0.125220\pi\)
\(734\) −18720.9 32425.6i −0.941421 1.63059i
\(735\) −6298.46 + 20870.0i −0.316085 + 1.04735i
\(736\) 12714.2 22021.7i 0.636755 1.10289i
\(737\) 964.907 + 557.089i 0.0482263 + 0.0278435i
\(738\) 12236.8 18471.8i 0.610358 0.921351i
\(739\) 4828.54 + 8363.28i 0.240353 + 0.416304i 0.960815 0.277191i \(-0.0894035\pi\)
−0.720462 + 0.693495i \(0.756070\pi\)
\(740\) 5396.45 + 9346.92i 0.268078 + 0.464324i
\(741\) 30009.4 28218.7i 1.48775 1.39898i
\(742\) −27149.5 7282.86i −1.34325 0.360326i
\(743\) −4935.72 + 2849.64i −0.243706 + 0.140704i −0.616879 0.787058i \(-0.711603\pi\)
0.373173 + 0.927762i \(0.378270\pi\)
\(744\) −2343.89 9963.04i −0.115499 0.490944i
\(745\) 23047.3i 1.13341i
\(746\) −31146.3 + 17982.3i −1.52861 + 0.882546i
\(747\) 9006.49 + 5966.44i 0.441138 + 0.292236i
\(748\) 4121.41i 0.201462i
\(749\) −279.775 + 1042.96i −0.0136485 + 0.0508799i
\(750\) 6716.03 22298.8i 0.326980 1.08565i
\(751\) 34815.7 1.69167 0.845833 0.533448i \(-0.179104\pi\)
0.845833 + 0.533448i \(0.179104\pi\)
\(752\) −883.748 + 1530.70i −0.0428550 + 0.0742271i
\(753\) −14200.5 + 13353.1i −0.687243 + 0.646235i
\(754\) 12098.9 6985.29i 0.584370 0.337386i
\(755\) 4898.01 0.236102
\(756\) 5777.51 + 12561.4i 0.277944 + 0.604304i
\(757\) −12225.4 −0.586976 −0.293488 0.955963i \(-0.594816\pi\)
−0.293488 + 0.955963i \(0.594816\pi\)
\(758\) 35341.3 20404.3i 1.69348 0.977728i
\(759\) 4646.45 4369.19i 0.222207 0.208948i
\(760\) 7198.51 12468.2i 0.343576 0.595091i
\(761\) 11388.4 0.542482 0.271241 0.962512i \(-0.412566\pi\)
0.271241 + 0.962512i \(0.412566\pi\)
\(762\) −5614.45 + 18641.3i −0.266916 + 0.886225i
\(763\) 11650.5 11644.0i 0.552787 0.552477i
\(764\) 27673.4i 1.31046i
\(765\) 22869.3 11390.8i 1.08084 0.538348i
\(766\) 28417.9 16407.1i 1.34045 0.773906i
\(767\) 23749.4i 1.11805i
\(768\) −6376.97 27106.3i −0.299621 1.27359i
\(769\) 5063.88 2923.63i 0.237462 0.137099i −0.376548 0.926397i \(-0.622889\pi\)
0.614010 + 0.789299i \(0.289556\pi\)
\(770\) −5854.57 + 5851.29i −0.274005 + 0.273852i
\(771\) −28435.2 + 26738.4i −1.32823 + 1.24898i
\(772\) 6322.26 + 10950.5i 0.294745 + 0.510513i
\(773\) −2151.82 3727.06i −0.100124 0.173419i 0.811612 0.584197i