Properties

Label 63.4.s.a.47.7
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 47.7
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.65116 + 1.53065i) q^{2} +(1.23858 - 5.04638i) q^{3} +(0.685763 - 1.18778i) q^{4} +5.50223 q^{5} +(4.44054 + 15.2746i) q^{6} +(-18.4916 + 1.02989i) q^{7} -20.2917i q^{8} +(-23.9318 - 12.5007i) q^{9} +O(q^{10})\) \(q+(-2.65116 + 1.53065i) q^{2} +(1.23858 - 5.04638i) q^{3} +(0.685763 - 1.18778i) q^{4} +5.50223 q^{5} +(4.44054 + 15.2746i) q^{6} +(-18.4916 + 1.02989i) q^{7} -20.2917i q^{8} +(-23.9318 - 12.5007i) q^{9} +(-14.5873 + 8.42197i) q^{10} -59.4170i q^{11} +(-5.14459 - 4.93177i) q^{12} +(12.7466 - 7.35927i) q^{13} +(47.4478 - 31.0345i) q^{14} +(6.81496 - 27.7663i) q^{15} +(36.5456 + 63.2988i) q^{16} +(-29.3070 - 50.7613i) q^{17} +(82.5813 - 3.48984i) q^{18} +(-66.1714 - 38.2041i) q^{19} +(3.77322 - 6.53541i) q^{20} +(-17.7062 + 94.5912i) q^{21} +(90.9465 + 157.524i) q^{22} -26.0925i q^{23} +(-102.400 - 25.1330i) q^{24} -94.7255 q^{25} +(-22.5289 + 39.0212i) q^{26} +(-92.7248 + 105.286i) q^{27} +(-11.4576 + 22.6701i) q^{28} +(217.541 + 125.597i) q^{29} +(24.4329 + 84.0442i) q^{30} +(190.447 + 109.955i) q^{31} +(-53.1911 - 30.7099i) q^{32} +(-299.841 - 73.5929i) q^{33} +(155.395 + 89.7174i) q^{34} +(-101.745 + 5.66667i) q^{35} +(-31.2596 + 19.8531i) q^{36} +(-97.2240 + 168.397i) q^{37} +233.908 q^{38} +(-21.3499 - 73.4394i) q^{39} -111.650i q^{40} +(37.6465 + 65.2056i) q^{41} +(-97.8439 - 277.878i) q^{42} +(210.991 - 365.447i) q^{43} +(-70.5741 - 40.7460i) q^{44} +(-131.678 - 68.7817i) q^{45} +(39.9385 + 69.1755i) q^{46} +(-191.626 - 331.907i) q^{47} +(364.694 - 106.022i) q^{48} +(340.879 - 38.0885i) q^{49} +(251.132 - 144.991i) q^{50} +(-292.460 + 85.0223i) q^{51} -20.1869i q^{52} +(92.7384 - 53.5426i) q^{53} +(84.6726 - 421.059i) q^{54} -326.926i q^{55} +(20.8982 + 375.226i) q^{56} +(-274.751 + 286.607i) q^{57} -768.979 q^{58} +(-266.985 + 462.431i) q^{59} +(-28.3067 - 27.1357i) q^{60} +(35.7367 - 20.6326i) q^{61} -673.209 q^{62} +(455.412 + 206.511i) q^{63} -396.705 q^{64} +(70.1349 - 40.4924i) q^{65} +(907.570 - 263.844i) q^{66} +(-166.519 + 288.420i) q^{67} -80.3906 q^{68} +(-131.673 - 32.3178i) q^{69} +(261.069 - 170.759i) q^{70} -500.325i q^{71} +(-253.661 + 485.618i) q^{72} +(351.906 - 203.173i) q^{73} -595.262i q^{74} +(-117.325 + 478.020i) q^{75} +(-90.7557 + 52.3978i) q^{76} +(61.1928 + 1098.72i) q^{77} +(169.012 + 162.020i) q^{78} +(-75.1067 - 130.089i) q^{79} +(201.082 + 348.284i) q^{80} +(416.465 + 598.329i) q^{81} +(-199.614 - 115.247i) q^{82} +(493.101 - 854.077i) q^{83} +(100.211 + 85.8981i) q^{84} +(-161.254 - 279.300i) q^{85} +1291.81i q^{86} +(903.252 - 942.229i) q^{87} -1205.67 q^{88} +(311.609 - 539.722i) q^{89} +(454.381 - 19.2019i) q^{90} +(-228.126 + 149.212i) q^{91} +(-30.9921 - 17.8933i) q^{92} +(790.758 - 824.881i) q^{93} +(1016.06 + 586.625i) q^{94} +(-364.090 - 210.208i) q^{95} +(-220.855 + 230.385i) q^{96} +(-407.846 - 235.470i) q^{97} +(-845.423 + 622.744i) q^{98} +(-742.754 + 1421.96i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.65116 + 1.53065i −0.937326 + 0.541166i −0.889121 0.457672i \(-0.848683\pi\)
−0.0482051 + 0.998837i \(0.515350\pi\)
\(3\) 1.23858 5.04638i 0.238365 0.971176i
\(4\) 0.685763 1.18778i 0.0857203 0.148472i
\(5\) 5.50223 0.492134 0.246067 0.969253i \(-0.420862\pi\)
0.246067 + 0.969253i \(0.420862\pi\)
\(6\) 4.44054 + 15.2746i 0.302141 + 1.03930i
\(7\) −18.4916 + 1.02989i −0.998453 + 0.0556087i
\(8\) 20.2917i 0.896776i
\(9\) −23.9318 12.5007i −0.886364 0.462989i
\(10\) −14.5873 + 8.42197i −0.461290 + 0.266326i
\(11\) 59.4170i 1.62863i −0.580425 0.814314i \(-0.697114\pi\)
0.580425 0.814314i \(-0.302886\pi\)
\(12\) −5.14459 4.93177i −0.123760 0.118640i
\(13\) 12.7466 7.35927i 0.271945 0.157007i −0.357826 0.933788i \(-0.616482\pi\)
0.629771 + 0.776781i \(0.283149\pi\)
\(14\) 47.4478 31.0345i 0.905782 0.592452i
\(15\) 6.81496 27.7663i 0.117308 0.477949i
\(16\) 36.5456 + 63.2988i 0.571024 + 0.989043i
\(17\) −29.3070 50.7613i −0.418117 0.724201i 0.577633 0.816297i \(-0.303977\pi\)
−0.995750 + 0.0920961i \(0.970643\pi\)
\(18\) 82.5813 3.48984i 1.08137 0.0456979i
\(19\) −66.1714 38.2041i −0.798987 0.461296i 0.0441297 0.999026i \(-0.485949\pi\)
−0.843117 + 0.537730i \(0.819282\pi\)
\(20\) 3.77322 6.53541i 0.0421859 0.0730681i
\(21\) −17.7062 + 94.5912i −0.183991 + 0.982928i
\(22\) 90.9465 + 157.524i 0.881357 + 1.52656i
\(23\) 26.0925i 0.236551i −0.992981 0.118275i \(-0.962263\pi\)
0.992981 0.118275i \(-0.0377366\pi\)
\(24\) −102.400 25.1330i −0.870927 0.213760i
\(25\) −94.7255 −0.757804
\(26\) −22.5289 + 39.0212i −0.169934 + 0.294334i
\(27\) −92.7248 + 105.286i −0.660922 + 0.750455i
\(28\) −11.4576 + 22.6701i −0.0773314 + 0.153009i
\(29\) 217.541 + 125.597i 1.39297 + 0.804234i 0.993643 0.112573i \(-0.0359091\pi\)
0.399331 + 0.916807i \(0.369242\pi\)
\(30\) 24.4329 + 84.0442i 0.148694 + 0.511477i
\(31\) 190.447 + 109.955i 1.10340 + 0.637048i 0.937112 0.349030i \(-0.113489\pi\)
0.166287 + 0.986077i \(0.446822\pi\)
\(32\) −53.1911 30.7099i −0.293842 0.169650i
\(33\) −299.841 73.5929i −1.58168 0.388208i
\(34\) 155.395 + 89.7174i 0.783825 + 0.452542i
\(35\) −101.745 + 5.66667i −0.491373 + 0.0273669i
\(36\) −31.2596 + 19.8531i −0.144720 + 0.0919126i
\(37\) −97.2240 + 168.397i −0.431987 + 0.748223i −0.997044 0.0768282i \(-0.975521\pi\)
0.565057 + 0.825052i \(0.308854\pi\)
\(38\) 233.908 0.998549
\(39\) −21.3499 73.4394i −0.0876595 0.301531i
\(40\) 111.650i 0.441334i
\(41\) 37.6465 + 65.2056i 0.143400 + 0.248376i 0.928775 0.370645i \(-0.120863\pi\)
−0.785375 + 0.619020i \(0.787530\pi\)
\(42\) −97.8439 277.878i −0.359468 1.02089i
\(43\) 210.991 365.447i 0.748275 1.29605i −0.200375 0.979719i \(-0.564216\pi\)
0.948649 0.316330i \(-0.102451\pi\)
\(44\) −70.5741 40.7460i −0.241806 0.139606i
\(45\) −131.678 68.7817i −0.436210 0.227853i
\(46\) 39.9385 + 69.1755i 0.128013 + 0.221725i
\(47\) −191.626 331.907i −0.594715 1.03008i −0.993587 0.113070i \(-0.963932\pi\)
0.398872 0.917006i \(-0.369402\pi\)
\(48\) 364.694 106.022i 1.09665 0.318811i
\(49\) 340.879 38.0885i 0.993815 0.111045i
\(50\) 251.132 144.991i 0.710309 0.410097i
\(51\) −292.460 + 85.0223i −0.802991 + 0.233441i
\(52\) 20.1869i 0.0538349i
\(53\) 92.7384 53.5426i 0.240351 0.138767i −0.374987 0.927030i \(-0.622353\pi\)
0.615338 + 0.788263i \(0.289020\pi\)
\(54\) 84.6726 421.059i 0.213379 1.06109i
\(55\) 326.926i 0.801503i
\(56\) 20.8982 + 375.226i 0.0498685 + 0.895388i
\(57\) −274.751 + 286.607i −0.638450 + 0.666000i
\(58\) −768.979 −1.74090
\(59\) −266.985 + 462.431i −0.589126 + 1.02040i 0.405221 + 0.914219i \(0.367194\pi\)
−0.994347 + 0.106177i \(0.966139\pi\)
\(60\) −28.3067 27.1357i −0.0609063 0.0583868i
\(61\) 35.7367 20.6326i 0.0750101 0.0433071i −0.462026 0.886866i \(-0.652877\pi\)
0.537036 + 0.843559i \(0.319544\pi\)
\(62\) −673.209 −1.37899
\(63\) 455.412 + 206.511i 0.910739 + 0.412983i
\(64\) −396.705 −0.774815
\(65\) 70.1349 40.4924i 0.133833 0.0772687i
\(66\) 907.570 263.844i 1.69264 0.492075i
\(67\) −166.519 + 288.420i −0.303636 + 0.525912i −0.976957 0.213438i \(-0.931534\pi\)
0.673321 + 0.739350i \(0.264867\pi\)
\(68\) −80.3906 −0.143365
\(69\) −131.673 32.3178i −0.229732 0.0563855i
\(70\) 261.069 170.759i 0.445767 0.291566i
\(71\) 500.325i 0.836305i −0.908377 0.418153i \(-0.862678\pi\)
0.908377 0.418153i \(-0.137322\pi\)
\(72\) −253.661 + 485.618i −0.415197 + 0.794870i
\(73\) 351.906 203.173i 0.564213 0.325748i −0.190622 0.981664i \(-0.561050\pi\)
0.754835 + 0.655915i \(0.227717\pi\)
\(74\) 595.262i 0.935106i
\(75\) −117.325 + 478.020i −0.180634 + 0.735961i
\(76\) −90.7557 + 52.3978i −0.136979 + 0.0790848i
\(77\) 61.1928 + 1098.72i 0.0905658 + 1.62611i
\(78\) 169.012 + 162.020i 0.245344 + 0.235195i
\(79\) −75.1067 130.089i −0.106964 0.185267i 0.807575 0.589765i \(-0.200780\pi\)
−0.914539 + 0.404498i \(0.867446\pi\)
\(80\) 201.082 + 348.284i 0.281021 + 0.486742i
\(81\) 416.465 + 598.329i 0.571282 + 0.820754i
\(82\) −199.614 115.247i −0.268825 0.155206i
\(83\) 493.101 854.077i 0.652107 1.12948i −0.330503 0.943805i \(-0.607218\pi\)
0.982611 0.185678i \(-0.0594482\pi\)
\(84\) 100.211 + 85.8981i 0.130166 + 0.111574i
\(85\) −161.254 279.300i −0.205770 0.356404i
\(86\) 1291.81i 1.61976i
\(87\) 903.252 942.229i 1.11309 1.16112i
\(88\) −1205.67 −1.46051
\(89\) 311.609 539.722i 0.371129 0.642814i −0.618611 0.785698i \(-0.712304\pi\)
0.989739 + 0.142884i \(0.0456375\pi\)
\(90\) 454.381 19.2019i 0.532177 0.0224895i
\(91\) −228.126 + 149.212i −0.262793 + 0.171887i
\(92\) −30.9921 17.8933i −0.0351212 0.0202772i
\(93\) 790.758 824.881i 0.881697 0.919744i
\(94\) 1016.06 + 586.625i 1.11488 + 0.643678i
\(95\) −364.090 210.208i −0.393209 0.227019i
\(96\) −220.855 + 230.385i −0.234801 + 0.244933i
\(97\) −407.846 235.470i −0.426912 0.246478i 0.271118 0.962546i \(-0.412607\pi\)
−0.698030 + 0.716068i \(0.745940\pi\)
\(98\) −845.423 + 622.744i −0.871435 + 0.641904i
\(99\) −742.754 + 1421.96i −0.754037 + 1.44356i
\(100\) −64.9592 + 112.513i −0.0649592 + 0.112513i
\(101\) −1201.60 −1.18380 −0.591898 0.806013i \(-0.701621\pi\)
−0.591898 + 0.806013i \(0.701621\pi\)
\(102\) 645.218 673.060i 0.626334 0.653361i
\(103\) 1020.81i 0.976539i −0.872693 0.488269i \(-0.837628\pi\)
0.872693 0.488269i \(-0.162372\pi\)
\(104\) −149.332 258.651i −0.140800 0.243873i
\(105\) −97.4234 + 520.462i −0.0905481 + 0.483733i
\(106\) −163.910 + 283.900i −0.150192 + 0.260139i
\(107\) 225.733 + 130.327i 0.203948 + 0.117750i 0.598496 0.801126i \(-0.295765\pi\)
−0.394548 + 0.918876i \(0.629099\pi\)
\(108\) 61.4688 + 182.337i 0.0547670 + 0.162458i
\(109\) 1029.70 + 1783.50i 0.904840 + 1.56723i 0.821131 + 0.570739i \(0.193343\pi\)
0.0837089 + 0.996490i \(0.473323\pi\)
\(110\) 500.408 + 866.733i 0.433746 + 0.751270i
\(111\) 729.374 + 699.202i 0.623686 + 0.597886i
\(112\) −740.977 1132.86i −0.625140 0.955759i
\(113\) −141.454 + 81.6684i −0.117760 + 0.0679886i −0.557723 0.830027i \(-0.688325\pi\)
0.439963 + 0.898016i \(0.354991\pi\)
\(114\) 289.714 1180.39i 0.238019 0.969766i
\(115\) 143.567i 0.116415i
\(116\) 298.362 172.260i 0.238812 0.137878i
\(117\) −397.046 + 16.7789i −0.313735 + 0.0132582i
\(118\) 1634.64i 1.27526i
\(119\) 594.212 + 908.474i 0.457742 + 0.699829i
\(120\) −563.426 138.287i −0.428613 0.105199i
\(121\) −2199.38 −1.65243
\(122\) −63.1625 + 109.401i −0.0468726 + 0.0811858i
\(123\) 375.680 109.216i 0.275398 0.0800622i
\(124\) 261.203 150.806i 0.189167 0.109216i
\(125\) −1208.98 −0.865075
\(126\) −1523.47 + 149.582i −1.07715 + 0.105761i
\(127\) 2368.78 1.65508 0.827539 0.561408i \(-0.189740\pi\)
0.827539 + 0.561408i \(0.189740\pi\)
\(128\) 1477.26 852.894i 1.02010 0.588953i
\(129\) −1582.85 1517.38i −1.08033 1.03564i
\(130\) −123.959 + 214.704i −0.0836303 + 0.144852i
\(131\) 881.350 0.587816 0.293908 0.955834i \(-0.405044\pi\)
0.293908 + 0.955834i \(0.405044\pi\)
\(132\) −293.031 + 305.676i −0.193220 + 0.201558i
\(133\) 1262.96 + 638.305i 0.823403 + 0.416151i
\(134\) 1019.53i 0.657269i
\(135\) −510.193 + 579.307i −0.325262 + 0.369324i
\(136\) −1030.03 + 594.690i −0.649446 + 0.374958i
\(137\) 1216.43i 0.758588i −0.925276 0.379294i \(-0.876167\pi\)
0.925276 0.379294i \(-0.123833\pi\)
\(138\) 398.553 115.865i 0.245848 0.0714717i
\(139\) 2303.79 1330.09i 1.40579 0.811634i 0.410812 0.911720i \(-0.365245\pi\)
0.994979 + 0.100086i \(0.0319119\pi\)
\(140\) −63.0422 + 124.736i −0.0380574 + 0.0753010i
\(141\) −1912.27 + 555.925i −1.14214 + 0.332038i
\(142\) 765.821 + 1326.44i 0.452580 + 0.783891i
\(143\) −437.266 757.367i −0.255706 0.442896i
\(144\) −83.3229 1971.70i −0.0482193 1.14103i
\(145\) 1196.96 + 691.064i 0.685530 + 0.395791i
\(146\) −621.973 + 1077.29i −0.352568 + 0.610665i
\(147\) 229.997 1767.38i 0.129047 0.991639i
\(148\) 133.345 + 230.961i 0.0740601 + 0.128276i
\(149\) 989.826i 0.544226i −0.962265 0.272113i \(-0.912277\pi\)
0.962265 0.272113i \(-0.0877225\pi\)
\(150\) −420.633 1446.89i −0.228963 0.787588i
\(151\) 982.760 0.529641 0.264821 0.964298i \(-0.414687\pi\)
0.264821 + 0.964298i \(0.414687\pi\)
\(152\) −775.226 + 1342.73i −0.413679 + 0.716512i
\(153\) 66.8192 + 1581.17i 0.0353073 + 0.835489i
\(154\) −1843.98 2819.21i −0.964883 1.47518i
\(155\) 1047.89 + 604.997i 0.543020 + 0.313513i
\(156\) −101.870 25.0031i −0.0522831 0.0128324i
\(157\) −576.402 332.786i −0.293006 0.169167i 0.346291 0.938127i \(-0.387441\pi\)
−0.639297 + 0.768960i \(0.720774\pi\)
\(158\) 398.240 + 229.924i 0.200520 + 0.115771i
\(159\) −155.332 534.310i −0.0774755 0.266500i
\(160\) −292.669 168.973i −0.144610 0.0834904i
\(161\) 26.8724 + 482.493i 0.0131543 + 0.236185i
\(162\) −2019.95 948.806i −0.979641 0.460156i
\(163\) 462.170 800.502i 0.222086 0.384663i −0.733356 0.679845i \(-0.762047\pi\)
0.955441 + 0.295182i \(0.0953803\pi\)
\(164\) 103.266 0.0491691
\(165\) −1649.79 404.925i −0.778401 0.191051i
\(166\) 3019.06i 1.41159i
\(167\) −925.982 1603.85i −0.429070 0.743171i 0.567721 0.823221i \(-0.307825\pi\)
−0.996791 + 0.0800504i \(0.974492\pi\)
\(168\) 1919.42 + 359.289i 0.881466 + 0.164998i
\(169\) −990.182 + 1715.05i −0.450697 + 0.780631i
\(170\) 855.020 + 493.646i 0.385747 + 0.222711i
\(171\) 1106.02 + 1741.48i 0.494619 + 0.778798i
\(172\) −289.379 501.220i −0.128285 0.222196i
\(173\) −738.631 1279.35i −0.324607 0.562236i 0.656825 0.754043i \(-0.271899\pi\)
−0.981433 + 0.191806i \(0.938565\pi\)
\(174\) −952.444 + 3880.56i −0.414969 + 1.69072i
\(175\) 1751.63 97.5565i 0.756631 0.0421405i
\(176\) 3761.02 2171.43i 1.61078 0.929986i
\(177\) 2002.92 + 1920.06i 0.850557 + 0.815372i
\(178\) 1907.85i 0.803368i
\(179\) 452.182 261.067i 0.188814 0.109012i −0.402613 0.915370i \(-0.631898\pi\)
0.591427 + 0.806358i \(0.298565\pi\)
\(180\) −171.997 + 109.236i −0.0712218 + 0.0452334i
\(181\) 3401.17i 1.39672i 0.715745 + 0.698362i \(0.246087\pi\)
−0.715745 + 0.698362i \(0.753913\pi\)
\(182\) 376.408 744.767i 0.153303 0.303328i
\(183\) −59.8570 205.896i −0.0241790 0.0831709i
\(184\) −529.462 −0.212133
\(185\) −534.948 + 926.558i −0.212596 + 0.368226i
\(186\) −833.824 + 3397.26i −0.328704 + 1.33924i
\(187\) −3016.08 + 1741.34i −1.17945 + 0.680958i
\(188\) −525.641 −0.203917
\(189\) 1606.20 2042.40i 0.618168 0.786046i
\(190\) 1287.01 0.491420
\(191\) 2367.55 1366.91i 0.896911 0.517832i 0.0207146 0.999785i \(-0.493406\pi\)
0.876197 + 0.481953i \(0.160073\pi\)
\(192\) −491.352 + 2001.92i −0.184689 + 0.752481i
\(193\) −1114.05 + 1929.59i −0.415498 + 0.719663i −0.995481 0.0949654i \(-0.969726\pi\)
0.579983 + 0.814629i \(0.303059\pi\)
\(194\) 1441.68 0.533541
\(195\) −117.472 404.080i −0.0431402 0.148394i
\(196\) 188.521 431.007i 0.0687031 0.157073i
\(197\) 3184.20i 1.15160i −0.817591 0.575800i \(-0.804691\pi\)
0.817591 0.575800i \(-0.195309\pi\)
\(198\) −207.356 4906.73i −0.0744248 1.76114i
\(199\) −2236.98 + 1291.52i −0.796860 + 0.460068i −0.842372 0.538896i \(-0.818841\pi\)
0.0455118 + 0.998964i \(0.485508\pi\)
\(200\) 1922.14i 0.679580i
\(201\) 1249.23 + 1197.55i 0.438377 + 0.420243i
\(202\) 3185.62 1839.22i 1.10960 0.640629i
\(203\) −4152.02 2098.45i −1.43554 0.725528i
\(204\) −99.5704 + 405.681i −0.0341732 + 0.139232i
\(205\) 207.139 + 358.776i 0.0705719 + 0.122234i
\(206\) 1562.50 + 2706.33i 0.528469 + 0.915335i
\(207\) −326.175 + 624.442i −0.109520 + 0.209670i
\(208\) 931.666 + 537.897i 0.310574 + 0.179310i
\(209\) −2269.97 + 3931.71i −0.751279 + 1.30125i
\(210\) −538.359 1528.95i −0.176906 0.502417i
\(211\) 2235.20 + 3871.49i 0.729278 + 1.26315i 0.957189 + 0.289465i \(0.0934775\pi\)
−0.227910 + 0.973682i \(0.573189\pi\)
\(212\) 146.870i 0.0475805i
\(213\) −2524.83 619.694i −0.812199 0.199346i
\(214\) −797.940 −0.254888
\(215\) 1160.92 2010.77i 0.368252 0.637830i
\(216\) 2136.43 + 1881.55i 0.672989 + 0.592699i
\(217\) −3634.92 1837.10i −1.13712 0.574703i
\(218\) −5459.81 3152.22i −1.69626 0.979337i
\(219\) −589.424 2027.50i −0.181870 0.625597i
\(220\) −388.315 224.194i −0.119001 0.0687051i
\(221\) −747.132 431.357i −0.227410 0.131295i
\(222\) −3003.92 737.281i −0.908152 0.222897i
\(223\) −1671.62 965.108i −0.501972 0.289813i 0.227556 0.973765i \(-0.426927\pi\)
−0.729527 + 0.683952i \(0.760260\pi\)
\(224\) 1015.22 + 513.094i 0.302821 + 0.153047i
\(225\) 2266.95 + 1184.14i 0.671690 + 0.350855i
\(226\) 250.011 433.032i 0.0735862 0.127455i
\(227\) −1092.70 −0.319494 −0.159747 0.987158i \(-0.551068\pi\)
−0.159747 + 0.987158i \(0.551068\pi\)
\(228\) 152.011 + 522.887i 0.0441542 + 0.151882i
\(229\) 3841.90i 1.10865i −0.832301 0.554324i \(-0.812977\pi\)
0.832301 0.554324i \(-0.187023\pi\)
\(230\) 219.751 + 380.619i 0.0629997 + 0.109119i
\(231\) 5620.33 + 1052.05i 1.60082 + 0.299652i
\(232\) 2548.58 4414.27i 0.721218 1.24919i
\(233\) 4219.38 + 2436.06i 1.18636 + 0.684943i 0.957476 0.288512i \(-0.0931604\pi\)
0.228880 + 0.973455i \(0.426494\pi\)
\(234\) 1026.95 652.221i 0.286897 0.182210i
\(235\) −1054.37 1826.23i −0.292679 0.506936i
\(236\) 366.176 + 634.236i 0.101000 + 0.174937i
\(237\) −749.502 + 217.891i −0.205424 + 0.0597196i
\(238\) −2965.90 1498.98i −0.807777 0.408254i
\(239\) −1383.42 + 798.720i −0.374419 + 0.216171i −0.675387 0.737463i \(-0.736024\pi\)
0.300968 + 0.953634i \(0.402690\pi\)
\(240\) 2006.63 583.357i 0.539698 0.156898i
\(241\) 6885.74i 1.84045i −0.391385 0.920227i \(-0.628004\pi\)
0.391385 0.920227i \(-0.371996\pi\)
\(242\) 5830.91 3366.48i 1.54886 0.894237i
\(243\) 3535.22 1360.56i 0.933270 0.359176i
\(244\) 56.5963i 0.0148492i
\(245\) 1875.59 209.572i 0.489091 0.0546492i
\(246\) −828.817 + 864.582i −0.214811 + 0.224080i
\(247\) −1124.62 −0.289707
\(248\) 2231.17 3864.50i 0.571289 0.989501i
\(249\) −3699.25 3546.22i −0.941487 0.902540i
\(250\) 3205.20 1850.52i 0.810858 0.468149i
\(251\) −7468.24 −1.87805 −0.939026 0.343846i \(-0.888270\pi\)
−0.939026 + 0.343846i \(0.888270\pi\)
\(252\) 557.593 399.310i 0.139385 0.0998181i
\(253\) −1550.34 −0.385253
\(254\) −6280.00 + 3625.76i −1.55135 + 0.895671i
\(255\) −1609.18 + 467.812i −0.395179 + 0.114884i
\(256\) −1024.14 + 1773.86i −0.250034 + 0.433072i
\(257\) 892.599 0.216649 0.108324 0.994116i \(-0.465451\pi\)
0.108324 + 0.994116i \(0.465451\pi\)
\(258\) 6518.96 + 1600.01i 1.57307 + 0.386095i
\(259\) 1624.40 3214.06i 0.389711 0.771088i
\(260\) 111.073i 0.0264940i
\(261\) −3636.09 5725.18i −0.862331 1.35778i
\(262\) −2336.60 + 1349.04i −0.550975 + 0.318106i
\(263\) 6421.39i 1.50555i 0.658277 + 0.752775i \(0.271285\pi\)
−0.658277 + 0.752775i \(0.728715\pi\)
\(264\) −1493.33 + 6084.28i −0.348136 + 1.41841i
\(265\) 510.268 294.603i 0.118285 0.0682918i
\(266\) −4325.33 + 240.899i −0.997004 + 0.0555280i
\(267\) −2337.69 2240.98i −0.535821 0.513656i
\(268\) 228.386 + 395.575i 0.0520555 + 0.0901628i
\(269\) 3574.44 + 6191.12i 0.810177 + 1.40327i 0.912740 + 0.408542i \(0.133963\pi\)
−0.102562 + 0.994727i \(0.532704\pi\)
\(270\) 465.888 2316.76i 0.105011 0.522198i
\(271\) 4716.19 + 2722.90i 1.05715 + 0.610347i 0.924643 0.380835i \(-0.124363\pi\)
0.132509 + 0.991182i \(0.457697\pi\)
\(272\) 2142.08 3710.20i 0.477511 0.827073i
\(273\) 470.428 + 1336.02i 0.104292 + 0.296190i
\(274\) 1861.92 + 3224.95i 0.410522 + 0.711044i
\(275\) 5628.31i 1.23418i
\(276\) −128.683 + 134.235i −0.0280644 + 0.0292754i
\(277\) 3155.80 0.684525 0.342262 0.939604i \(-0.388807\pi\)
0.342262 + 0.939604i \(0.388807\pi\)
\(278\) −4071.81 + 7052.58i −0.878456 + 1.52153i
\(279\) −3183.24 5012.15i −0.683067 1.07552i
\(280\) 114.987 + 2064.58i 0.0245420 + 0.440651i
\(281\) 27.5066 + 15.8809i 0.00583951 + 0.00337145i 0.502917 0.864335i \(-0.332260\pi\)
−0.497077 + 0.867706i \(0.665594\pi\)
\(282\) 4218.81 4400.86i 0.890874 0.929317i
\(283\) −5043.64 2911.94i −1.05941 0.611651i −0.134141 0.990962i \(-0.542827\pi\)
−0.925269 + 0.379312i \(0.876161\pi\)
\(284\) −594.274 343.104i −0.124168 0.0716884i
\(285\) −1511.74 + 1576.98i −0.314203 + 0.327761i
\(286\) 2318.52 + 1338.60i 0.479361 + 0.276759i
\(287\) −763.298 1166.98i −0.156990 0.240017i
\(288\) 889.064 + 1399.87i 0.181905 + 0.286417i
\(289\) 738.697 1279.46i 0.150356 0.260423i
\(290\) −4231.10 −0.856754
\(291\) −1693.42 + 1766.49i −0.341134 + 0.355855i
\(292\) 557.314i 0.111693i
\(293\) 177.914 + 308.157i 0.0354739 + 0.0614427i 0.883217 0.468964i \(-0.155373\pi\)
−0.847743 + 0.530407i \(0.822039\pi\)
\(294\) 2095.47 + 5037.64i 0.415682 + 0.999324i
\(295\) −1469.01 + 2544.40i −0.289929 + 0.502172i
\(296\) 3417.06 + 1972.84i 0.670988 + 0.387395i
\(297\) 6255.77 + 5509.43i 1.22221 + 1.07640i
\(298\) 1515.08 + 2624.19i 0.294517 + 0.510118i
\(299\) −192.022 332.592i −0.0371402 0.0643287i
\(300\) 487.324 + 467.165i 0.0937855 + 0.0899059i
\(301\) −3525.19 + 6975.00i −0.675045 + 1.33565i
\(302\) −2605.45 + 1504.26i −0.496447 + 0.286624i
\(303\) −1488.28 + 6063.71i −0.282176 + 1.14967i
\(304\) 5584.76i 1.05364i
\(305\) 196.632 113.525i 0.0369150 0.0213129i
\(306\) −2597.36 4089.65i −0.485232 0.764019i
\(307\) 10085.9i 1.87502i −0.347955 0.937511i \(-0.613124\pi\)
0.347955 0.937511i \(-0.386876\pi\)
\(308\) 1346.99 + 680.775i 0.249195 + 0.125944i
\(309\) −5151.40 1264.36i −0.948390 0.232773i
\(310\) −3704.15 −0.678650
\(311\) 2633.24 4560.90i 0.480119 0.831591i −0.519621 0.854397i \(-0.673927\pi\)
0.999740 + 0.0228062i \(0.00726008\pi\)
\(312\) −1490.21 + 433.226i −0.270406 + 0.0786109i
\(313\) −7509.58 + 4335.66i −1.35612 + 0.782958i −0.989099 0.147253i \(-0.952957\pi\)
−0.367024 + 0.930211i \(0.619623\pi\)
\(314\) 2037.51 0.366189
\(315\) 2505.78 + 1136.27i 0.448206 + 0.203243i
\(316\) −206.021 −0.0366760
\(317\) 3074.94 1775.32i 0.544814 0.314548i −0.202214 0.979341i \(-0.564814\pi\)
0.747028 + 0.664793i \(0.231480\pi\)
\(318\) 1229.65 + 1178.78i 0.216841 + 0.207871i
\(319\) 7462.60 12925.6i 1.30980 2.26864i
\(320\) −2182.76 −0.381313
\(321\) 937.269 977.714i 0.162970 0.170002i
\(322\) −809.769 1238.03i −0.140145 0.214264i
\(323\) 4478.59i 0.771503i
\(324\) 996.277 84.3548i 0.170829 0.0144641i
\(325\) −1207.43 + 697.111i −0.206081 + 0.118981i
\(326\) 2829.68i 0.480740i
\(327\) 10275.6 2987.26i 1.73774 0.505186i
\(328\) 1323.13 763.911i 0.222737 0.128597i
\(329\) 3885.31 + 5940.13i 0.651076 + 0.995411i
\(330\) 4993.66 1451.73i 0.833005 0.242167i
\(331\) 1383.92 + 2397.03i 0.229811 + 0.398044i 0.957752 0.287596i \(-0.0928560\pi\)
−0.727941 + 0.685640i \(0.759523\pi\)
\(332\) −676.301 1171.39i −0.111798 0.193639i
\(333\) 4431.83 2814.68i 0.729317 0.463193i
\(334\) 4909.85 + 2834.70i 0.804357 + 0.464396i
\(335\) −916.228 + 1586.95i −0.149429 + 0.258819i
\(336\) −6634.59 + 2336.11i −1.07722 + 0.379301i
\(337\) 4541.71 + 7866.48i 0.734133 + 1.27156i 0.955102 + 0.296276i \(0.0957447\pi\)
−0.220969 + 0.975281i \(0.570922\pi\)
\(338\) 6062.48i 0.975608i
\(339\) 236.927 + 814.982i 0.0379590 + 0.130571i
\(340\) −442.328 −0.0705547
\(341\) 6533.19 11315.8i 1.03751 1.79703i
\(342\) −5597.84 2924.01i −0.885078 0.462317i
\(343\) −6264.17 + 1055.38i −0.986102 + 0.166138i
\(344\) −7415.54 4281.37i −1.16227 0.671034i
\(345\) −724.494 177.820i −0.113059 0.0277492i
\(346\) 3916.46 + 2261.17i 0.608526 + 0.351333i
\(347\) 1411.92 + 815.173i 0.218432 + 0.126112i 0.605224 0.796055i \(-0.293084\pi\)
−0.386792 + 0.922167i \(0.626417\pi\)
\(348\) −499.740 1719.01i −0.0769796 0.264794i
\(349\) −621.203 358.652i −0.0952787 0.0550092i 0.451604 0.892219i \(-0.350852\pi\)
−0.546882 + 0.837210i \(0.684185\pi\)
\(350\) −4494.51 + 2939.76i −0.686405 + 0.448962i
\(351\) −407.102 + 2024.43i −0.0619073 + 0.307852i
\(352\) −1824.69 + 3160.45i −0.276296 + 0.478559i
\(353\) 8387.64 1.26467 0.632336 0.774694i \(-0.282096\pi\)
0.632336 + 0.774694i \(0.282096\pi\)
\(354\) −8248.99 2024.63i −1.23850 0.303977i
\(355\) 2752.90i 0.411574i
\(356\) −427.379 740.242i −0.0636265 0.110204i
\(357\) 5320.48 1873.40i 0.788767 0.277733i
\(358\) −799.204 + 1384.26i −0.117987 + 0.204359i
\(359\) −6043.86 3489.42i −0.888531 0.512994i −0.0150696 0.999886i \(-0.504797\pi\)
−0.873462 + 0.486893i \(0.838130\pi\)
\(360\) −1395.70 + 2671.98i −0.204333 + 0.391183i
\(361\) −510.398 884.036i −0.0744129 0.128887i
\(362\) −5205.99 9017.04i −0.755858 1.30919i
\(363\) −2724.11 + 11098.9i −0.393881 + 1.60480i
\(364\) 20.7902 + 373.287i 0.00299369 + 0.0537516i
\(365\) 1936.27 1117.91i 0.277668 0.160312i
\(366\) 473.845 + 454.243i 0.0676728 + 0.0648734i
\(367\) 4329.87i 0.615851i 0.951410 + 0.307926i \(0.0996348\pi\)
−0.951410 + 0.307926i \(0.900365\pi\)
\(368\) 1651.63 953.567i 0.233959 0.135076i
\(369\) −85.8329 2031.10i −0.0121092 0.286544i
\(370\) 3275.27i 0.460198i
\(371\) −1659.74 + 1085.60i −0.232262 + 0.151918i
\(372\) −437.501 1504.92i −0.0609768 0.209748i
\(373\) −4667.41 −0.647907 −0.323954 0.946073i \(-0.605012\pi\)
−0.323954 + 0.946073i \(0.605012\pi\)
\(374\) 5330.74 9233.12i 0.737022 1.27656i
\(375\) −1497.42 + 6100.97i −0.206204 + 0.840140i
\(376\) −6734.96 + 3888.43i −0.923747 + 0.533326i
\(377\) 3697.21 0.505082
\(378\) −1132.09 + 7873.25i −0.154043 + 1.07131i
\(379\) 57.5316 0.00779736 0.00389868 0.999992i \(-0.498759\pi\)
0.00389868 + 0.999992i \(0.498759\pi\)
\(380\) −499.359 + 288.305i −0.0674120 + 0.0389203i
\(381\) 2933.92 11953.7i 0.394513 1.60737i
\(382\) −4184.51 + 7247.78i −0.560466 + 0.970755i
\(383\) −3880.55 −0.517720 −0.258860 0.965915i \(-0.583347\pi\)
−0.258860 + 0.965915i \(0.583347\pi\)
\(384\) −2474.32 8511.17i −0.328821 1.13108i
\(385\) 336.697 + 6045.38i 0.0445705 + 0.800263i
\(386\) 6820.87i 0.899412i
\(387\) −9617.74 + 6108.28i −1.26330 + 0.802329i
\(388\) −559.370 + 322.953i −0.0731900 + 0.0422563i
\(389\) 5277.43i 0.687856i 0.938996 + 0.343928i \(0.111758\pi\)
−0.938996 + 0.343928i \(0.888242\pi\)
\(390\) 929.941 + 891.472i 0.120742 + 0.115747i
\(391\) −1324.49 + 764.695i −0.171310 + 0.0989061i
\(392\) −772.881 6917.01i −0.0995827 0.891229i
\(393\) 1091.62 4447.62i 0.140115 0.570872i
\(394\) 4873.89 + 8441.83i 0.623206 + 1.07942i
\(395\) −413.254 715.777i −0.0526407 0.0911763i
\(396\) 1179.61 + 1857.35i 0.149691 + 0.235695i
\(397\) −3252.23 1877.68i −0.411146 0.237375i 0.280136 0.959960i \(-0.409620\pi\)
−0.691282 + 0.722585i \(0.742954\pi\)
\(398\) 3953.72 6848.05i 0.497945 0.862467i
\(399\) 4785.41 5582.78i 0.600426 0.700473i
\(400\) −3461.80 5996.01i −0.432724 0.749501i
\(401\) 3917.75i 0.487887i 0.969789 + 0.243944i \(0.0784412\pi\)
−0.969789 + 0.243944i \(0.921559\pi\)
\(402\) −5144.93 1262.77i −0.638323 0.156670i
\(403\) 3236.75 0.400084
\(404\) −824.010 + 1427.23i −0.101475 + 0.175760i
\(405\) 2291.48 + 3292.14i 0.281148 + 0.403921i
\(406\) 14219.7 791.962i 1.73820 0.0968089i
\(407\) 10005.6 + 5776.76i 1.21858 + 0.703546i
\(408\) 1725.25 + 5934.51i 0.209344 + 0.720102i
\(409\) 5560.57 + 3210.40i 0.672256 + 0.388127i 0.796931 0.604071i \(-0.206456\pi\)
−0.124675 + 0.992198i \(0.539789\pi\)
\(410\) −1098.32 634.115i −0.132298 0.0763822i
\(411\) −6138.56 1506.65i −0.736722 0.180821i
\(412\) −1212.49 700.034i −0.144989 0.0837092i
\(413\) 4460.72 8826.05i 0.531471 1.05158i
\(414\) −91.0587 2154.75i −0.0108099 0.255798i
\(415\) 2713.16 4699.32i 0.320924 0.555857i
\(416\) −904.009 −0.106545
\(417\) −3858.72 13273.2i −0.453147 1.55873i
\(418\) 13898.1i 1.62626i
\(419\) 2427.93 + 4205.30i 0.283084 + 0.490316i 0.972143 0.234390i \(-0.0753092\pi\)
−0.689059 + 0.724705i \(0.741976\pi\)
\(420\) 551.383 + 472.631i 0.0640589 + 0.0549096i
\(421\) 1333.50 2309.69i 0.154372 0.267381i −0.778458 0.627697i \(-0.783998\pi\)
0.932830 + 0.360316i \(0.117331\pi\)
\(422\) −11851.8 6842.62i −1.36714 0.789321i
\(423\) 436.903 + 10338.6i 0.0502198 + 1.18837i
\(424\) −1086.47 1881.82i −0.124443 0.215541i
\(425\) 2776.12 + 4808.38i 0.316851 + 0.548802i
\(426\) 7642.26 2221.72i 0.869175 0.252682i
\(427\) −639.580 + 418.335i −0.0724858 + 0.0474113i
\(428\) 309.599 178.747i 0.0349650 0.0201871i
\(429\) −4363.55 + 1268.55i −0.491082 + 0.142765i
\(430\) 7107.84i 0.797140i
\(431\) −1671.85 + 965.244i −0.186845 + 0.107875i −0.590505 0.807034i \(-0.701071\pi\)
0.403660 + 0.914909i \(0.367738\pi\)
\(432\) −10053.1 2021.63i −1.11963 0.225153i
\(433\) 14198.8i 1.57587i 0.615761 + 0.787933i \(0.288849\pi\)
−0.615761 + 0.787933i \(0.711151\pi\)
\(434\) 12448.7 693.329i 1.37686 0.0766840i
\(435\) 4969.90 5184.36i 0.547789 0.571428i
\(436\) 2824.53 0.310253
\(437\) −996.841 + 1726.58i −0.109120 + 0.189001i
\(438\) 4666.04 + 4473.02i 0.509023 + 0.487966i
\(439\) −5176.07 + 2988.40i −0.562734 + 0.324895i −0.754242 0.656596i \(-0.771995\pi\)
0.191508 + 0.981491i \(0.438662\pi\)
\(440\) −6633.89 −0.718769
\(441\) −8633.98 3349.70i −0.932295 0.361699i
\(442\) 2641.02 0.284209
\(443\) −1832.30 + 1057.88i −0.196513 + 0.113457i −0.595028 0.803705i \(-0.702859\pi\)
0.398515 + 0.917162i \(0.369526\pi\)
\(444\) 1330.67 386.846i 0.142232 0.0413489i
\(445\) 1714.54 2969.67i 0.182645 0.316351i
\(446\) 5908.96 0.627348
\(447\) −4995.04 1225.98i −0.528539 0.129725i
\(448\) 7335.71 408.561i 0.773616 0.0430864i
\(449\) 7685.78i 0.807827i 0.914797 + 0.403913i \(0.132350\pi\)
−0.914797 + 0.403913i \(0.867650\pi\)
\(450\) −7822.55 + 330.576i −0.819463 + 0.0346300i
\(451\) 3874.32 2236.84i 0.404511 0.233545i
\(452\) 224.020i 0.0233120i
\(453\) 1217.23 4959.38i 0.126248 0.514375i
\(454\) 2896.92 1672.54i 0.299470 0.172899i
\(455\) −1255.20 + 821.000i −0.129329 + 0.0845914i
\(456\) 5815.74 + 5575.17i 0.597253 + 0.572546i
\(457\) −2262.72 3919.14i −0.231609 0.401159i 0.726672 0.686984i \(-0.241066\pi\)
−0.958282 + 0.285825i \(0.907732\pi\)
\(458\) 5880.60 + 10185.5i 0.599962 + 1.03916i
\(459\) 8061.93 + 1621.21i 0.819823 + 0.164862i
\(460\) −170.526 98.4530i −0.0172843 0.00997912i
\(461\) 8067.99 13974.2i 0.815106 1.41181i −0.0941454 0.995558i \(-0.530012\pi\)
0.909252 0.416247i \(-0.136655\pi\)
\(462\) −16510.7 + 5813.59i −1.66266 + 0.585439i
\(463\) −1572.22 2723.17i −0.157813 0.273340i 0.776267 0.630405i \(-0.217111\pi\)
−0.934080 + 0.357065i \(0.883778\pi\)
\(464\) 18360.1i 1.83695i
\(465\) 4350.93 4538.68i 0.433913 0.452638i
\(466\) −14915.0 −1.48267
\(467\) −7929.49 + 13734.3i −0.785724 + 1.36091i 0.142842 + 0.989746i \(0.454376\pi\)
−0.928566 + 0.371168i \(0.878957\pi\)
\(468\) −252.350 + 483.108i −0.0249250 + 0.0477173i
\(469\) 2782.17 5504.85i 0.273921 0.541983i
\(470\) 5590.62 + 3227.75i 0.548672 + 0.316776i
\(471\) −2393.28 + 2496.56i −0.234133 + 0.244236i
\(472\) 9383.51 + 5417.57i 0.915066 + 0.528314i
\(473\) −21713.8 12536.4i −2.11078 1.21866i
\(474\) 1653.53 1724.89i 0.160231 0.167145i
\(475\) 6268.12 + 3618.90i 0.605476 + 0.349572i
\(476\) 1486.55 82.7933i 0.143143 0.00797232i
\(477\) −2888.72 + 122.076i −0.277286 + 0.0117179i
\(478\) 2445.12 4235.07i 0.233969 0.405246i
\(479\) −10563.1 −1.00760 −0.503798 0.863821i \(-0.668065\pi\)
−0.503798 + 0.863821i \(0.668065\pi\)
\(480\) −1215.19 + 1267.63i −0.115554 + 0.120540i
\(481\) 2861.99i 0.271300i
\(482\) 10539.6 + 18255.2i 0.995990 + 1.72511i
\(483\) 2468.12 + 461.999i 0.232513 + 0.0435232i
\(484\) −1508.25 + 2612.37i −0.141647 + 0.245339i
\(485\) −2244.06 1295.61i −0.210098 0.121300i
\(486\) −7289.90 + 9018.23i −0.680404 + 0.841719i
\(487\) 4915.35 + 8513.63i 0.457363 + 0.792175i 0.998821 0.0485525i \(-0.0154608\pi\)
−0.541458 + 0.840728i \(0.682127\pi\)
\(488\) −418.671 725.159i −0.0388368 0.0672672i
\(489\) −3467.20 3323.77i −0.320638 0.307374i
\(490\) −4651.71 + 3426.48i −0.428863 + 0.315903i
\(491\) 4775.18 2756.95i 0.438902 0.253400i −0.264230 0.964460i \(-0.585118\pi\)
0.703132 + 0.711060i \(0.251784\pi\)
\(492\) 127.904 521.120i 0.0117202 0.0477518i
\(493\) 14723.5i 1.34506i
\(494\) 2981.54 1721.39i 0.271550 0.156779i
\(495\) −4086.80 + 7823.94i −0.371087 + 0.710424i
\(496\) 16073.4i 1.45508i
\(497\) 515.278 + 9251.81i 0.0465058 + 0.835011i
\(498\) 15235.3 + 3739.35i 1.37090 + 0.336475i
\(499\) 3718.10 0.333557 0.166779 0.985994i \(-0.446663\pi\)
0.166779 + 0.985994i \(0.446663\pi\)
\(500\) −829.073 + 1436.00i −0.0741546 + 0.128439i
\(501\) −9240.53 + 2686.36i −0.824024 + 0.239556i
\(502\) 19799.5 11431.2i 1.76035 1.01634i
\(503\) −16413.0 −1.45491 −0.727453 0.686158i \(-0.759296\pi\)
−0.727453 + 0.686158i \(0.759296\pi\)
\(504\) 4190.46 9241.09i 0.370353 0.816728i
\(505\) −6611.46 −0.582586
\(506\) 4110.20 2373.03i 0.361108 0.208486i
\(507\) 7428.35 + 7121.06i 0.650699 + 0.623782i
\(508\) 1624.42 2813.58i 0.141874 0.245733i
\(509\) 5482.62 0.477432 0.238716 0.971089i \(-0.423274\pi\)
0.238716 + 0.971089i \(0.423274\pi\)
\(510\) 3550.13 3703.33i 0.308240 0.321542i
\(511\) −6298.07 + 4119.42i −0.545225 + 0.356619i
\(512\) 7375.92i 0.636665i
\(513\) 10158.1 3424.45i 0.874250 0.294723i
\(514\) −2366.42 + 1366.25i −0.203071 + 0.117243i
\(515\) 5616.73i 0.480588i
\(516\) −2887.76 + 839.515i −0.246370 + 0.0716232i
\(517\) −19720.9 + 11385.9i −1.67761 + 0.968569i
\(518\) 613.053 + 11007.4i 0.0520000 + 0.933659i
\(519\) −7370.92 + 2142.83i −0.623405 + 0.181233i
\(520\) −821.660 1423.16i −0.0692926 0.120018i
\(521\) −4450.46 7708.43i −0.374238 0.648200i 0.615974 0.787766i \(-0.288763\pi\)
−0.990213 + 0.139566i \(0.955429\pi\)
\(522\) 18403.1 + 9612.78i 1.54307 + 0.806015i
\(523\) −15123.5 8731.55i −1.26444 0.730026i −0.290512 0.956871i \(-0.593826\pi\)
−0.973931 + 0.226845i \(0.927159\pi\)
\(524\) 604.397 1046.85i 0.0503878 0.0872742i
\(525\) 1677.23 8960.20i 0.139429 0.744867i
\(526\) −9828.88 17024.1i −0.814752 1.41119i
\(527\) 12889.8i 1.06544i
\(528\) −6299.51 21669.0i −0.519225 1.78603i
\(529\) 11486.2 0.944044
\(530\) −901.868 + 1562.08i −0.0739144 + 0.128023i
\(531\) 12170.1 7729.32i 0.994612 0.631683i
\(532\) 1624.26 1062.39i 0.132369 0.0865796i
\(533\) 959.731 + 554.101i 0.0779936 + 0.0450296i
\(534\) 9627.74 + 2363.03i 0.780212 + 0.191495i
\(535\) 1242.04 + 717.090i 0.100370 + 0.0579486i
\(536\) 5852.54 + 3378.96i 0.471625 + 0.272293i
\(537\) −757.380 2605.23i −0.0608628 0.209356i
\(538\) −18952.8 10942.4i −1.51880 0.876880i
\(539\) −2263.11 20254.0i −0.180851 1.61856i
\(540\) 338.215 + 1003.26i 0.0269527 + 0.0799510i
\(541\) 3242.17 5615.60i 0.257656 0.446273i −0.707958 0.706255i \(-0.750383\pi\)
0.965613 + 0.259982i \(0.0837167\pi\)
\(542\) −16671.2 −1.32120
\(543\) 17163.6 + 4212.63i 1.35646 + 0.332930i
\(544\) 3600.06i 0.283734i
\(545\) 5665.66 + 9813.21i 0.445303 + 0.771287i
\(546\) −3292.16 2821.95i −0.258043 0.221187i
\(547\) 7429.77 12868.7i 0.580757 1.00590i −0.414633 0.909989i \(-0.636090\pi\)
0.995390 0.0959117i \(-0.0305766\pi\)
\(548\) −1444.84 834.181i −0.112629 0.0650264i
\(549\) −1113.17 + 47.0418i −0.0865370 + 0.00365700i
\(550\) −8614.95 14921.5i −0.667896 1.15683i
\(551\) −9596.64 16621.9i −0.741979 1.28515i
\(552\) −655.783 + 2671.87i −0.0505652 + 0.206018i
\(553\) 1522.82 + 2328.20i 0.117101 + 0.179032i
\(554\) −8366.52 + 4830.41i −0.641623 + 0.370441i
\(555\) 4013.18 + 3847.17i 0.306937 + 0.294240i
\(556\) 3648.51i 0.278294i
\(557\) 10822.7 6248.49i 0.823290 0.475327i −0.0282599 0.999601i \(-0.508997\pi\)
0.851550 + 0.524274i \(0.175663\pi\)
\(558\) 16111.1 + 8415.58i 1.22229 + 0.638459i
\(559\) 6210.96i 0.469938i
\(560\) −4077.02 6233.24i −0.307653 0.470362i
\(561\) 5051.77 + 17377.1i 0.380189 + 1.30777i
\(562\) −97.2323 −0.00729804
\(563\) −12205.3 + 21140.2i −0.913664 + 1.58251i −0.104818 + 0.994491i \(0.533426\pi\)
−0.808846 + 0.588021i \(0.799907\pi\)
\(564\) −651.050 + 2652.58i −0.0486066 + 0.198039i
\(565\) −778.311 + 449.358i −0.0579536 + 0.0334595i
\(566\) 17828.6 1.32402
\(567\) −8317.31 10635.2i −0.616039 0.787715i
\(568\) −10152.5 −0.749978
\(569\) 13128.1 7579.50i 0.967237 0.558434i 0.0688439 0.997627i \(-0.478069\pi\)
0.898393 + 0.439193i \(0.144736\pi\)
\(570\) 1594.07 6494.76i 0.117137 0.477255i
\(571\) −5144.94 + 8911.30i −0.377074 + 0.653111i −0.990635 0.136536i \(-0.956403\pi\)
0.613562 + 0.789647i \(0.289736\pi\)
\(572\) −1199.44 −0.0876769
\(573\) −3965.52 13640.6i −0.289113 0.994492i
\(574\) 3809.87 + 1925.52i 0.277040 + 0.140017i
\(575\) 2471.63i 0.179259i
\(576\) 9493.88 + 4959.09i 0.686768 + 0.358731i
\(577\) −3545.65 + 2047.08i −0.255818 + 0.147697i −0.622426 0.782679i \(-0.713853\pi\)
0.366607 + 0.930376i \(0.380519\pi\)
\(578\) 4522.74i 0.325469i
\(579\) 8357.60 + 8011.87i 0.599879 + 0.575064i
\(580\) 1641.66 947.811i 0.117528 0.0678547i
\(581\) −8238.63 + 16301.1i −0.588289 + 1.16400i
\(582\) 1785.64 7275.28i 0.127178 0.518162i
\(583\) −3181.34 5510.24i −0.225999 0.391442i
\(584\) −4122.73 7140.78i −0.292123 0.505972i
\(585\) −2184.64 + 92.3216i −0.154400 + 0.00652483i
\(586\) −943.358 544.648i −0.0665013 0.0383945i
\(587\) 4131.33 7155.67i 0.290491 0.503145i −0.683435 0.730011i \(-0.739515\pi\)
0.973926 + 0.226866i \(0.0728481\pi\)
\(588\) −1941.52 1485.19i −0.136169 0.104163i
\(589\) −8401.45 14551.7i −0.587734 1.01799i
\(590\) 8994.14i 0.627598i
\(591\) −16068.7 3943.90i −1.11840 0.274501i
\(592\) −14212.4 −0.986700
\(593\) −2857.34 + 4949.05i −0.197870 + 0.342721i −0.947838 0.318754i \(-0.896736\pi\)
0.749968 + 0.661474i \(0.230069\pi\)
\(594\) −25018.0 5031.00i −1.72812 0.347516i
\(595\) 3269.49 + 4998.63i 0.225271 + 0.344410i
\(596\) −1175.69 678.786i −0.0808024 0.0466513i
\(597\) 3746.82 + 12888.3i 0.256863 + 0.883555i
\(598\) 1018.16 + 587.836i 0.0696250 + 0.0401980i
\(599\) −9639.02 5565.09i −0.657495 0.379605i 0.133827 0.991005i \(-0.457273\pi\)
−0.791322 + 0.611400i \(0.790607\pi\)
\(600\) 9699.85 + 2380.73i 0.659992 + 0.161988i
\(601\) 12690.8 + 7327.05i 0.861347 + 0.497299i 0.864463 0.502696i \(-0.167658\pi\)
−0.00311588 + 0.999995i \(0.500992\pi\)
\(602\) −1330.42 23887.6i −0.0900728 1.61726i
\(603\) 7590.57 4820.81i 0.512623 0.325570i
\(604\) 673.940 1167.30i 0.0454010 0.0786369i
\(605\) −12101.5 −0.813216
\(606\) −5335.74 18353.9i −0.357673 1.23032i
\(607\) 23920.2i 1.59949i 0.600340 + 0.799745i \(0.295032\pi\)
−0.600340 + 0.799745i \(0.704968\pi\)
\(608\) 2346.48 + 4064.23i 0.156517 + 0.271096i
\(609\) −15732.2 + 18353.6i −1.04680 + 1.22122i
\(610\) −347.534 + 601.947i −0.0230676 + 0.0399543i
\(611\) −4885.18 2820.46i −0.323459 0.186749i
\(612\) 1923.90 + 1004.94i 0.127073 + 0.0663763i
\(613\) 2063.73 + 3574.48i 0.135976 + 0.235517i 0.925970 0.377598i \(-0.123250\pi\)
−0.789994 + 0.613115i \(0.789916\pi\)
\(614\) 15437.9 + 26739.3i 1.01470 + 1.75751i
\(615\) 2067.08 600.930i 0.135533 0.0394014i
\(616\) 22294.8 1241.71i 1.45825 0.0812172i
\(617\) −3577.34 + 2065.38i −0.233417 + 0.134763i −0.612147 0.790744i \(-0.709694\pi\)
0.378731 + 0.925507i \(0.376361\pi\)
\(618\) 15592.5 4532.96i 1.01492 0.295052i
\(619\) 4035.79i 0.262055i 0.991379 + 0.131028i \(0.0418276\pi\)
−0.991379 + 0.131028i \(0.958172\pi\)
\(620\) 1437.20 829.768i 0.0930958 0.0537489i
\(621\) 2747.18 + 2419.43i 0.177521 + 0.156342i
\(622\) 16122.2i 1.03930i
\(623\) −5206.29 + 10301.2i −0.334808 + 0.662457i
\(624\) 3868.38 4035.31i 0.248172 0.258881i
\(625\) 5188.60 0.332071
\(626\) 13272.7 22989.0i 0.847420 1.46777i
\(627\) 17029.3 + 16324.9i 1.08467 + 1.03980i
\(628\) −790.550 + 456.424i −0.0502331 + 0.0290021i
\(629\) 11397.4 0.722485
\(630\) −8382.45 + 823.034i −0.530103 + 0.0520484i
\(631\) −19836.6 −1.25147 −0.625737 0.780034i \(-0.715202\pi\)
−0.625737 + 0.780034i \(0.715202\pi\)
\(632\) −2639.72 + 1524.04i −0.166143 + 0.0959228i
\(633\) 22305.5 6484.52i 1.40057 0.407167i
\(634\) −5434.77 + 9413.30i −0.340445 + 0.589669i
\(635\) 13033.5 0.814521
\(636\) −741.161 181.910i −0.0462090 0.0113415i
\(637\) 4064.75 2994.12i 0.252828 0.186234i
\(638\) 45690.5i 2.83527i
\(639\) −6254.42 + 11973.7i −0.387200 + 0.741271i
\(640\) 8128.20 4692.82i 0.502024 0.289844i
\(641\) 1990.63i 0.122660i −0.998118 0.0613302i \(-0.980466\pi\)
0.998118 0.0613302i \(-0.0195343\pi\)
\(642\) −988.314 + 4026.70i −0.0607564 + 0.247541i
\(643\) 3590.95 2073.23i 0.220238 0.127155i −0.385822 0.922573i \(-0.626082\pi\)
0.606061 + 0.795419i \(0.292749\pi\)
\(644\) 591.521 + 298.957i 0.0361944 + 0.0182928i
\(645\) −8709.22 8348.94i −0.531667 0.509673i
\(646\) −6855.14 11873.5i −0.417511 0.723150i
\(647\) 7896.88 + 13677.8i 0.479843 + 0.831112i 0.999733 0.0231210i \(-0.00736030\pi\)
−0.519890 + 0.854233i \(0.674027\pi\)
\(648\) 12141.1 8450.78i 0.736032 0.512312i
\(649\) 27476.3 + 15863.4i 1.66185 + 0.959467i
\(650\) 2134.06 3696.30i 0.128777 0.223048i
\(651\) −13772.9 + 16067.8i −0.829187 + 0.967351i
\(652\) −633.878 1097.91i −0.0380745 0.0659469i
\(653\) 13416.5i 0.804023i −0.915635 0.402012i \(-0.868311\pi\)
0.915635 0.402012i \(-0.131689\pi\)
\(654\) −22669.7 + 23648.0i −1.35544 + 1.41393i
\(655\) 4849.39 0.289284
\(656\) −2751.62 + 4765.95i −0.163770 + 0.283657i
\(657\) −10961.6 + 463.230i −0.650916 + 0.0275073i
\(658\) −19392.8 9801.21i −1.14895 0.580685i
\(659\) 382.577 + 220.881i 0.0226147 + 0.0130566i 0.511265 0.859423i \(-0.329177\pi\)
−0.488650 + 0.872480i \(0.662511\pi\)
\(660\) −1612.32 + 1681.90i −0.0950904 + 0.0991937i
\(661\) −3170.86 1830.70i −0.186584 0.107724i 0.403798 0.914848i \(-0.367690\pi\)
−0.590383 + 0.807124i \(0.701023\pi\)
\(662\) −7338.00 4236.60i −0.430815 0.248731i
\(663\) −3102.17 + 3236.04i −0.181717 + 0.189558i
\(664\) −17330.7 10005.9i −1.01289 0.584794i
\(665\) 6949.10 + 3512.10i 0.405225 + 0.204802i
\(666\) −7441.20 + 14245.7i −0.432944 + 0.828844i
\(667\) 3277.15 5676.19i 0.190242 0.329509i
\(668\) −2540.02 −0.147120
\(669\) −6940.73 + 7240.24i −0.401112 + 0.418421i
\(670\) 5609.69i 0.323464i
\(671\) −1225.93 2123.37i −0.0705312 0.122164i
\(672\) 3846.69 4487.65i 0.220818 0.257611i
\(673\) −2370.91 + 4106.54i −0.135798 + 0.235209i −0.925902 0.377764i \(-0.876693\pi\)
0.790104 + 0.612973i \(0.210026\pi\)
\(674\) −24081.6 13903.5i −1.37625 0.794575i
\(675\) 8783.40 9973.25i 0.500849 0.568697i
\(676\) 1358.06 + 2352.23i 0.0772679 + 0.133832i
\(677\) 4086.07 + 7077.29i 0.231965 + 0.401776i 0.958386 0.285474i \(-0.0921510\pi\)
−0.726421 + 0.687250i \(0.758818\pi\)
\(678\) −1875.58 1797.99i −0.106241 0.101846i
\(679\) 7784.22 + 3934.18i 0.439957 + 0.222356i
\(680\) −5667.48 + 3272.12i −0.319614 + 0.184529i
\(681\) −1353.40 + 5514.18i −0.0761562 + 0.310284i
\(682\) 40000.0i 2.24587i
\(683\) −18929.2 + 10928.8i −1.06048 + 0.612266i −0.925564 0.378592i \(-0.876408\pi\)
−0.134912 + 0.990858i \(0.543075\pi\)
\(684\) 2826.96 119.466i 0.158029 0.00667819i
\(685\) 6693.07i 0.373327i
\(686\) 14991.9 12386.2i 0.834391 0.689370i
\(687\) −19387.7 4758.51i −1.07669 0.264263i
\(688\) 30843.1 1.70913
\(689\) 788.068 1364.97i 0.0435748 0.0754737i
\(690\) 2192.93 637.516i 0.120990 0.0351737i
\(691\) 22416.7 12942.3i 1.23411 0.712516i 0.266228 0.963910i \(-0.414222\pi\)
0.967885 + 0.251394i \(0.0808891\pi\)
\(692\) −2026.10 −0.111302
\(693\) 12270.3 27059.2i 0.672596 1.48325i
\(694\) −4990.97 −0.272989
\(695\) 12676.0 7318.48i 0.691838 0.399433i
\(696\) −19119.4 18328.5i −1.04127 0.998191i
\(697\) 2206.61 3821.96i 0.119916 0.207700i
\(698\) 2195.88 0.119076
\(699\) 17519.3 18275.3i 0.947986 0.988894i
\(700\) 1085.32 2147.44i 0.0586020 0.115951i
\(701\) 24745.4i 1.33327i −0.745385 0.666634i \(-0.767734\pi\)
0.745385 0.666634i \(-0.232266\pi\)
\(702\) −2019.39 5990.21i −0.108571 0.322060i
\(703\) 12866.9 7428.70i 0.690304 0.398547i
\(704\) 23571.0i 1.26188i
\(705\) −10521.8 + 3058.83i −0.562088 + 0.163407i
\(706\) −22237.0 + 12838.5i −1.18541 + 0.684397i
\(707\) 22219.4 1237.51i 1.18196 0.0658293i
\(708\) 3654.13 1062.31i 0.193970 0.0563899i
\(709\) 7953.44 + 13775.8i 0.421294 + 0.729703i 0.996066 0.0886105i \(-0.0282426\pi\)
−0.574772 + 0.818314i \(0.694909\pi\)
\(710\) 4213.72 + 7298.38i 0.222730 + 0.385780i
\(711\) 171.241 + 4052.14i 0.00903242 + 0.213737i
\(712\) −10951.9 6323.07i −0.576460 0.332819i
\(713\) 2869.00 4969.26i 0.150694 0.261010i
\(714\) −11237.9 + 13110.5i −0.589032 + 0.687180i
\(715\) −2405.94 4167.20i −0.125842 0.217965i
\(716\) 716.121i 0.0373781i
\(717\) 2317.16 + 7970.55i 0.120692 + 0.415155i
\(718\) 21364.3 1.11046
\(719\) 3347.21 5797.53i 0.173616 0.300711i −0.766066 0.642762i \(-0.777788\pi\)
0.939681 + 0.342051i \(0.111122\pi\)
\(720\) −458.462 10848.7i −0.0237304 0.561540i
\(721\) 1051.32 + 18876.4i 0.0543040 + 0.975028i
\(722\) 2706.29 + 1562.48i 0.139498 + 0.0805394i
\(723\) −34748.0 8528.55i −1.78740 0.438700i
\(724\) 4039.83 + 2332.39i 0.207374 + 0.119728i
\(725\) −20606.6 11897.2i −1.05560 0.609452i
\(726\) −9766.45 33594.6i −0.499266 1.71737i
\(727\) 17642.6 + 10186.0i 0.900041 + 0.519639i 0.877213 0.480101i \(-0.159400\pi\)
0.0228273 + 0.999739i \(0.492733\pi\)
\(728\) 3027.77 + 4629.08i 0.154144 + 0.235666i
\(729\) −2487.22 19525.2i −0.126364 0.991984i
\(730\) −3422.24 + 5927.49i −0.173511 + 0.300529i
\(731\) −24734.1 −1.25147
\(732\) −285.606 70.0991i −0.0144212 0.00353953i
\(733\) 12531.3i 0.631453i −0.948850 0.315727i \(-0.897752\pi\)
0.948850 0.315727i \(-0.102248\pi\)
\(734\) −6627.51 11479.2i −0.333278 0.577254i
\(735\) 1265.50 9724.52i 0.0635083 0.488019i
\(736\) −801.299 + 1387.89i −0.0401308 + 0.0695086i
\(737\) 17137.1 + 9894.09i 0.856515 + 0.494509i
\(738\) 3336.45 + 5253.38i 0.166418 + 0.262032i
\(739\) 3311.99 + 5736.53i 0.164863 + 0.285550i 0.936606 0.350383i \(-0.113949\pi\)
−0.771744 + 0.635933i \(0.780615\pi\)
\(740\) 733.695 + 1270.80i 0.0364475 + 0.0631290i
\(741\) −1392.93 + 5675.24i −0.0690561 + 0.281356i
\(742\) 2738.57 5418.57i 0.135493 0.268089i
\(743\) 23846.9 13768.0i 1.17747 0.679811i 0.222039 0.975038i \(-0.428729\pi\)
0.955427 + 0.295227i \(0.0953953\pi\)
\(744\) −16738.3 16045.8i −0.824804 0.790684i
\(745\) 5446.25i 0.267832i
\(746\) 12374.1 7144.16i 0.607301 0.350625i
\(747\) −22477.4 + 14275.5i −1.10094 + 0.699215i
\(748\) 4776.57i 0.233488i
\(749\) −4308.39 2177.48i −0.210180 0.106226i
\(750\) −5368.53 18466.7i −0.261375 0.899076i
\(751\) 27525.1 1.33742 0.668712 0.743522i \(-0.266846\pi\)
0.668712 + 0.743522i \(0.266846\pi\)
\(752\) 14006.2 24259.4i 0.679193 1.17640i
\(753\) −9250.03 + 37687.5i −0.447662 + 1.82392i
\(754\) −9801.90 + 5659.13i −0.473427 + 0.273333i
\(755\) 5407.37 0.260655
\(756\) −1324.44 3308.40i −0.0637163 0.159161i
\(757\) 15056.0 0.722877 0.361439 0.932396i \(-0.382286\pi\)
0.361439 + 0.932396i \(0.382286\pi\)
\(758\) −152.525 + 88.0605i −0.00730867 + 0.00421966i
\(759\) −1920.22 + 7823.60i −0.0918310 + 0.374149i
\(760\) −4265.47 + 7388.01i −0.203585 + 0.352620i
\(761\) 9883.03 0.470775 0.235387 0.971902i \(-0.424364\pi\)
0.235387 + 0.971902i \(0.424364\pi\)
\(762\) 10518.7 + 36182.1i 0.500067 + 1.72013i
\(763\) −20877.6 31919.2i −0.990592 1.51449i
\(764\) 3749.50i 0.177555i
\(765\) 367.655 + 8699.95i 0.0173759 + 0.411173i
\(766\) 10287.9 5939.75i 0.485272 0.280172i
\(767\) 7859.25i 0.369988i
\(768\) 7683.11 + 7365.28i 0.360990 + 0.346057i
\(769\) −6460.28 + 3729.84i −0.302944 + 0.174905i −0.643765 0.765224i \(-0.722628\pi\)
0.340821 + 0.940128i \(0.389295\pi\)
\(770\) −10146.0 15511.9i −0.474852 0.725988i
\(771\) 1105.56 4504.39i 0.0516416 0.210404i
\(772\) 1527.95 + 2646.48i 0.0712332 + 0.123380i
\(773\) −1435.39 2486.18i −0.0667886