Properties

Label 63.4.f.b.22.2
Level $63$
Weight $4$
Character 63.22
Analytic conductor $3.717$
Analytic rank $0$
Dimension $16$
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.f (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 3 x^{15} + 58 x^{14} - 129 x^{13} + 2107 x^{12} - 4455 x^{11} + 42901 x^{10} - 76404 x^{9} + 599392 x^{8} - 1089732 x^{7} + 4808401 x^{6} - 7939134 x^{5} + 26225236 x^{4} - 39450864 x^{3} + 62254768 x^{2} - 39660672 x + 21307456\)
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 2^{2}\cdot 3^{7} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 22.2
Root \(2.28179 + 3.95218i\) of defining polynomial
Character \(\chi\) \(=\) 63.22
Dual form 63.4.f.b.43.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.28179 - 3.95218i) q^{2} +(1.09409 - 5.07966i) q^{3} +(-6.41313 + 11.1079i) q^{4} +(-10.3955 + 18.0055i) q^{5} +(-22.5722 + 7.26670i) q^{6} +(3.50000 + 6.06218i) q^{7} +22.0250 q^{8} +(-24.6060 - 11.1152i) q^{9} +O(q^{10})\) \(q+(-2.28179 - 3.95218i) q^{2} +(1.09409 - 5.07966i) q^{3} +(-6.41313 + 11.1079i) q^{4} +(-10.3955 + 18.0055i) q^{5} +(-22.5722 + 7.26670i) q^{6} +(3.50000 + 6.06218i) q^{7} +22.0250 q^{8} +(-24.6060 - 11.1152i) q^{9} +94.8813 q^{10} +(-22.6993 - 39.3163i) q^{11} +(49.4077 + 44.7295i) q^{12} +(-14.6521 + 25.3782i) q^{13} +(15.9725 - 27.6652i) q^{14} +(80.0884 + 72.5052i) q^{15} +(1.04863 + 1.81629i) q^{16} -98.0555 q^{17} +(12.2165 + 122.610i) q^{18} +31.1554 q^{19} +(-133.335 - 230.943i) q^{20} +(34.6231 - 11.1463i) q^{21} +(-103.590 + 179.423i) q^{22} +(-4.19596 + 7.26761i) q^{23} +(24.0972 - 111.879i) q^{24} +(-153.632 - 266.099i) q^{25} +133.732 q^{26} +(-83.3823 + 112.829i) q^{27} -89.7838 q^{28} +(36.1332 + 62.5845i) q^{29} +(103.808 - 481.965i) q^{30} +(15.4299 - 26.7254i) q^{31} +(92.8855 - 160.882i) q^{32} +(-224.548 + 72.2893i) q^{33} +(223.742 + 387.533i) q^{34} -145.537 q^{35} +(281.267 - 202.036i) q^{36} -196.369 q^{37} +(-71.0900 - 123.131i) q^{38} +(112.882 + 102.194i) q^{39} +(-228.961 + 396.571i) q^{40} +(-106.336 + 184.180i) q^{41} +(-123.055 - 111.403i) q^{42} +(-118.438 - 205.141i) q^{43} +582.293 q^{44} +(455.925 - 327.495i) q^{45} +38.2972 q^{46} +(110.018 + 190.557i) q^{47} +(10.3734 - 3.33953i) q^{48} +(-24.5000 + 42.4352i) q^{49} +(-701.114 + 1214.36i) q^{50} +(-107.281 + 498.089i) q^{51} +(-187.932 - 325.507i) q^{52} +55.9028 q^{53} +(636.181 + 72.0896i) q^{54} +943.880 q^{55} +(77.0874 + 133.519i) q^{56} +(34.0866 - 158.259i) q^{57} +(164.897 - 285.609i) q^{58} +(327.326 - 566.946i) q^{59} +(-1318.99 + 424.626i) q^{60} +(-174.391 - 302.055i) q^{61} -140.831 q^{62} +(-18.7387 - 188.069i) q^{63} -831.002 q^{64} +(-304.632 - 527.638i) q^{65} +(798.072 + 722.506i) q^{66} +(-105.247 + 182.293i) q^{67} +(628.842 - 1089.19i) q^{68} +(32.3263 + 29.2654i) q^{69} +(332.085 + 575.187i) q^{70} -548.252 q^{71} +(-541.946 - 244.811i) q^{72} -266.888 q^{73} +(448.073 + 776.086i) q^{74} +(-1519.78 + 489.266i) q^{75} +(-199.803 + 346.070i) q^{76} +(158.895 - 275.214i) q^{77} +(146.314 - 679.314i) q^{78} +(134.946 + 233.733i) q^{79} -43.6042 q^{80} +(481.906 + 546.999i) q^{81} +970.550 q^{82} +(-312.634 - 541.499i) q^{83} +(-98.2311 + 456.071i) q^{84} +(1019.34 - 1765.54i) q^{85} +(-540.503 + 936.178i) q^{86} +(357.441 - 115.072i) q^{87} +(-499.951 - 865.941i) q^{88} +1605.63 q^{89} +(-2334.64 - 1054.62i) q^{90} -205.129 q^{91} +(-53.8184 - 93.2162i) q^{92} +(-118.874 - 107.618i) q^{93} +(502.076 - 869.621i) q^{94} +(-323.875 + 560.969i) q^{95} +(-715.603 - 647.846i) q^{96} +(145.549 + 252.099i) q^{97} +223.615 q^{98} +(121.530 + 1219.72i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} + 2q^{3} - 43q^{4} - 30q^{5} + 19q^{6} + 56q^{7} + 12q^{8} - 124q^{9} + O(q^{10}) \) \( 16q - 3q^{2} + 2q^{3} - 43q^{4} - 30q^{5} + 19q^{6} + 56q^{7} + 12q^{8} - 124q^{9} - 28q^{10} - 24q^{11} + 268q^{12} - 68q^{13} + 21q^{14} + 56q^{15} - 103q^{16} + 336q^{17} - 479q^{18} + 352q^{19} - 330q^{20} + 70q^{21} - 151q^{22} - 228q^{23} - 195q^{24} - 244q^{25} + 1590q^{26} + 272q^{27} - 602q^{28} - 618q^{29} + 1030q^{30} - 72q^{31} - 786q^{32} - 700q^{33} + 261q^{34} - 420q^{35} + 727q^{36} + 420q^{37} - 1032q^{38} - 22q^{39} + 375q^{40} - 420q^{41} - 175q^{42} + 2q^{43} + 774q^{44} + 1406q^{45} + 804q^{46} - 570q^{47} + 1864q^{48} - 392q^{49} - 1110q^{50} - 2940q^{51} + 431q^{52} + 1056q^{53} + 2269q^{54} - 1676q^{55} + 42q^{56} + 122q^{57} - 37q^{58} + 150q^{59} - 6350q^{60} - 578q^{61} + 2340q^{62} - 350q^{63} - 224q^{64} + 366q^{65} + 5812q^{66} + 898q^{67} - 2526q^{68} - 2166q^{69} - 98q^{70} + 1764q^{71} + 1350q^{72} + 1944q^{73} + 222q^{74} - 2096q^{75} - 1423q^{76} + 168q^{77} - 5558q^{78} + 158q^{79} + 4950q^{80} + 476q^{81} - 422q^{82} - 2958q^{83} + 1715q^{84} + 774q^{85} + 114q^{86} + 44q^{87} - 1317q^{88} + 8760q^{89} - 3659q^{90} - 952q^{91} - 4629q^{92} + 3954q^{93} + 3234q^{94} - 930q^{95} - 5923q^{96} + 60q^{97} + 294q^{98} + 1214q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.28179 3.95218i −0.806734 1.39730i −0.915114 0.403195i \(-0.867900\pi\)
0.108380 0.994110i \(-0.465434\pi\)
\(3\) 1.09409 5.07966i 0.210557 0.977582i
\(4\) −6.41313 + 11.1079i −0.801641 + 1.38848i
\(5\) −10.3955 + 18.0055i −0.929801 + 1.61046i −0.146149 + 0.989263i \(0.546688\pi\)
−0.783652 + 0.621200i \(0.786645\pi\)
\(6\) −22.5722 + 7.26670i −1.53584 + 0.494437i
\(7\) 3.50000 + 6.06218i 0.188982 + 0.327327i
\(8\) 22.0250 0.973376
\(9\) −24.6060 11.1152i −0.911332 0.411673i
\(10\) 94.8813 3.00041
\(11\) −22.6993 39.3163i −0.622190 1.07766i −0.989077 0.147399i \(-0.952910\pi\)
0.366887 0.930265i \(-0.380423\pi\)
\(12\) 49.4077 + 44.7295i 1.18856 + 1.07602i
\(13\) −14.6521 + 25.3782i −0.312597 + 0.541434i −0.978924 0.204226i \(-0.934532\pi\)
0.666327 + 0.745660i \(0.267866\pi\)
\(14\) 15.9725 27.6652i 0.304917 0.528132i
\(15\) 80.0884 + 72.5052i 1.37858 + 1.24805i
\(16\) 1.04863 + 1.81629i 0.0163849 + 0.0283795i
\(17\) −98.0555 −1.39894 −0.699469 0.714663i \(-0.746580\pi\)
−0.699469 + 0.714663i \(0.746580\pi\)
\(18\) 12.2165 + 122.610i 0.159970 + 1.60552i
\(19\) 31.1554 0.376186 0.188093 0.982151i \(-0.439769\pi\)
0.188093 + 0.982151i \(0.439769\pi\)
\(20\) −133.335 230.943i −1.49073 2.58202i
\(21\) 34.6231 11.1463i 0.359780 0.115825i
\(22\) −103.590 + 179.423i −1.00388 + 1.73878i
\(23\) −4.19596 + 7.26761i −0.0380399 + 0.0658870i −0.884419 0.466695i \(-0.845445\pi\)
0.846379 + 0.532582i \(0.178778\pi\)
\(24\) 24.0972 111.879i 0.204951 0.951554i
\(25\) −153.632 266.099i −1.22906 2.12879i
\(26\) 133.732 1.00873
\(27\) −83.3823 + 112.829i −0.594331 + 0.804220i
\(28\) −89.7838 −0.605983
\(29\) 36.1332 + 62.5845i 0.231371 + 0.400747i 0.958212 0.286059i \(-0.0923455\pi\)
−0.726841 + 0.686806i \(0.759012\pi\)
\(30\) 103.808 481.965i 0.631757 2.93315i
\(31\) 15.4299 26.7254i 0.0893965 0.154839i −0.817860 0.575418i \(-0.804840\pi\)
0.907256 + 0.420578i \(0.138173\pi\)
\(32\) 92.8855 160.882i 0.513125 0.888758i
\(33\) −224.548 + 72.2893i −1.18451 + 0.381332i
\(34\) 223.742 + 387.533i 1.12857 + 1.95474i
\(35\) −145.537 −0.702863
\(36\) 281.267 202.036i 1.30216 0.935354i
\(37\) −196.369 −0.872511 −0.436255 0.899823i \(-0.643696\pi\)
−0.436255 + 0.899823i \(0.643696\pi\)
\(38\) −71.0900 123.131i −0.303482 0.525646i
\(39\) 112.882 + 102.194i 0.463477 + 0.419592i
\(40\) −228.961 + 396.571i −0.905046 + 1.56759i
\(41\) −106.336 + 184.180i −0.405048 + 0.701564i −0.994327 0.106366i \(-0.966079\pi\)
0.589279 + 0.807930i \(0.299412\pi\)
\(42\) −123.055 111.403i −0.452089 0.409283i
\(43\) −118.438 205.141i −0.420039 0.727529i 0.575904 0.817517i \(-0.304650\pi\)
−0.995943 + 0.0899887i \(0.971317\pi\)
\(44\) 582.293 1.99509
\(45\) 455.925 327.495i 1.51034 1.08489i
\(46\) 38.2972 0.122752
\(47\) 110.018 + 190.557i 0.341442 + 0.591395i 0.984701 0.174254i \(-0.0557513\pi\)
−0.643259 + 0.765649i \(0.722418\pi\)
\(48\) 10.3734 3.33953i 0.0311932 0.0100421i
\(49\) −24.5000 + 42.4352i −0.0714286 + 0.123718i
\(50\) −701.114 + 1214.36i −1.98305 + 3.43474i
\(51\) −107.281 + 498.089i −0.294556 + 1.36758i
\(52\) −187.932 325.507i −0.501181 0.868071i
\(53\) 55.9028 0.144884 0.0724419 0.997373i \(-0.476921\pi\)
0.0724419 + 0.997373i \(0.476921\pi\)
\(54\) 636.181 + 72.0896i 1.60321 + 0.181670i
\(55\) 943.880 2.31405
\(56\) 77.0874 + 133.519i 0.183951 + 0.318612i
\(57\) 34.0866 158.259i 0.0792085 0.367752i
\(58\) 164.897 285.609i 0.373310 0.646592i
\(59\) 327.326 566.946i 0.722275 1.25102i −0.237810 0.971312i \(-0.576430\pi\)
0.960086 0.279706i \(-0.0902370\pi\)
\(60\) −1318.99 + 424.626i −2.83802 + 0.913650i
\(61\) −174.391 302.055i −0.366041 0.634002i 0.622901 0.782300i \(-0.285954\pi\)
−0.988943 + 0.148298i \(0.952620\pi\)
\(62\) −140.831 −0.288477
\(63\) −18.7387 188.069i −0.0374739 0.376102i
\(64\) −831.002 −1.62305
\(65\) −304.632 527.638i −0.581306 1.00685i
\(66\) 798.072 + 722.506i 1.48842 + 1.34749i
\(67\) −105.247 + 182.293i −0.191910 + 0.332398i −0.945883 0.324507i \(-0.894802\pi\)
0.753973 + 0.656905i \(0.228135\pi\)
\(68\) 628.842 1089.19i 1.12145 1.94240i
\(69\) 32.3263 + 29.2654i 0.0564004 + 0.0510601i
\(70\) 332.085 + 575.187i 0.567024 + 0.982115i
\(71\) −548.252 −0.916416 −0.458208 0.888845i \(-0.651508\pi\)
−0.458208 + 0.888845i \(0.651508\pi\)
\(72\) −541.946 244.811i −0.887068 0.400713i
\(73\) −266.888 −0.427902 −0.213951 0.976844i \(-0.568633\pi\)
−0.213951 + 0.976844i \(0.568633\pi\)
\(74\) 448.073 + 776.086i 0.703884 + 1.21916i
\(75\) −1519.78 + 489.266i −2.33986 + 0.753274i
\(76\) −199.803 + 346.070i −0.301566 + 0.522328i
\(77\) 158.895 275.214i 0.235166 0.407319i
\(78\) 146.314 679.314i 0.212395 0.986117i
\(79\) 134.946 + 233.733i 0.192185 + 0.332874i 0.945974 0.324242i \(-0.105109\pi\)
−0.753789 + 0.657116i \(0.771776\pi\)
\(80\) −43.6042 −0.0609388
\(81\) 481.906 + 546.999i 0.661051 + 0.750341i
\(82\) 970.550 1.30706
\(83\) −312.634 541.499i −0.413447 0.716111i 0.581817 0.813320i \(-0.302342\pi\)
−0.995264 + 0.0972088i \(0.969009\pi\)
\(84\) −98.2311 + 456.071i −0.127594 + 0.592398i
\(85\) 1019.34 1765.54i 1.30073 2.25294i
\(86\) −540.503 + 936.178i −0.677720 + 1.17384i
\(87\) 357.441 115.072i 0.440479 0.141804i
\(88\) −499.951 865.941i −0.605625 1.04897i
\(89\) 1605.63 1.91232 0.956162 0.292838i \(-0.0945996\pi\)
0.956162 + 0.292838i \(0.0945996\pi\)
\(90\) −2334.64 1054.62i −2.73437 1.23519i
\(91\) −205.129 −0.236301
\(92\) −53.8184 93.2162i −0.0609887 0.105635i
\(93\) −118.874 107.618i −0.132545 0.119995i
\(94\) 502.076 869.621i 0.550906 0.954198i
\(95\) −323.875 + 560.969i −0.349778 + 0.605833i
\(96\) −715.603 647.846i −0.760791 0.688755i
\(97\) 145.549 + 252.099i 0.152354 + 0.263884i 0.932092 0.362221i \(-0.117981\pi\)
−0.779739 + 0.626105i \(0.784648\pi\)
\(98\) 223.615 0.230496
\(99\) 121.530 + 1219.72i 0.123376 + 1.23825i
\(100\) 3941.06 3.94106
\(101\) 726.307 + 1258.00i 0.715547 + 1.23936i 0.962748 + 0.270399i \(0.0871557\pi\)
−0.247201 + 0.968964i \(0.579511\pi\)
\(102\) 2213.33 712.540i 2.14855 0.691686i
\(103\) 28.1341 48.7296i 0.0269139 0.0466162i −0.852255 0.523127i \(-0.824765\pi\)
0.879169 + 0.476511i \(0.158099\pi\)
\(104\) −322.712 + 558.954i −0.304275 + 0.527019i
\(105\) −159.230 + 739.278i −0.147993 + 0.687106i
\(106\) −127.558 220.938i −0.116883 0.202447i
\(107\) −300.124 −0.271160 −0.135580 0.990766i \(-0.543290\pi\)
−0.135580 + 0.990766i \(0.543290\pi\)
\(108\) −718.547 1649.79i −0.640206 1.46991i
\(109\) −936.906 −0.823296 −0.411648 0.911343i \(-0.635047\pi\)
−0.411648 + 0.911343i \(0.635047\pi\)
\(110\) −2153.74 3730.38i −1.86682 3.23343i
\(111\) −214.845 + 997.489i −0.183713 + 0.852951i
\(112\) −7.34044 + 12.7140i −0.00619291 + 0.0107264i
\(113\) −697.297 + 1207.75i −0.580498 + 1.00545i 0.414923 + 0.909857i \(0.363809\pi\)
−0.995420 + 0.0955946i \(0.969525\pi\)
\(114\) −703.245 + 226.397i −0.577763 + 0.186000i
\(115\) −87.2381 151.101i −0.0707391 0.122524i
\(116\) −926.907 −0.741906
\(117\) 642.612 461.594i 0.507773 0.364738i
\(118\) −2987.56 −2.33074
\(119\) −343.194 594.430i −0.264375 0.457910i
\(120\) 1763.95 + 1596.93i 1.34188 + 1.21482i
\(121\) −365.014 + 632.222i −0.274240 + 0.474998i
\(122\) −795.849 + 1378.45i −0.590596 + 1.02294i
\(123\) 819.232 + 741.662i 0.600550 + 0.543686i
\(124\) 197.908 + 342.786i 0.143328 + 0.248251i
\(125\) 3789.47 2.71152
\(126\) −700.523 + 503.192i −0.495298 + 0.355777i
\(127\) −2387.37 −1.66807 −0.834034 0.551714i \(-0.813974\pi\)
−0.834034 + 0.551714i \(0.813974\pi\)
\(128\) 1153.09 + 1997.21i 0.796247 + 1.37914i
\(129\) −1171.63 + 377.185i −0.799661 + 0.257436i
\(130\) −1390.21 + 2407.92i −0.937920 + 1.62452i
\(131\) −1060.00 + 1835.97i −0.706963 + 1.22450i 0.259015 + 0.965873i \(0.416602\pi\)
−0.965978 + 0.258623i \(0.916731\pi\)
\(132\) 637.078 2957.85i 0.420080 1.95036i
\(133\) 109.044 + 188.869i 0.0710925 + 0.123136i
\(134\) 960.606 0.619282
\(135\) −1164.74 2674.26i −0.742557 1.70491i
\(136\) −2159.67 −1.36169
\(137\) 32.9508 + 57.0725i 0.0205487 + 0.0355915i 0.876117 0.482099i \(-0.160125\pi\)
−0.855568 + 0.517690i \(0.826792\pi\)
\(138\) 41.9004 194.537i 0.0258463 0.120000i
\(139\) 981.641 1700.25i 0.599005 1.03751i −0.393963 0.919126i \(-0.628896\pi\)
0.992968 0.118381i \(-0.0377705\pi\)
\(140\) 933.346 1616.60i 0.563444 0.975914i
\(141\) 1088.33 350.369i 0.650030 0.209265i
\(142\) 1251.00 + 2166.79i 0.739304 + 1.28051i
\(143\) 1330.37 0.777979
\(144\) −5.61429 56.3472i −0.00324901 0.0326083i
\(145\) −1502.49 −0.860517
\(146\) 608.982 + 1054.79i 0.345203 + 0.597910i
\(147\) 188.752 + 170.880i 0.105905 + 0.0958769i
\(148\) 1259.34 2181.24i 0.699440 1.21147i
\(149\) 1316.91 2280.95i 0.724063 1.25411i −0.235296 0.971924i \(-0.575606\pi\)
0.959359 0.282190i \(-0.0910607\pi\)
\(150\) 5401.49 + 4890.04i 2.94020 + 2.66180i
\(151\) 368.737 + 638.671i 0.198724 + 0.344200i 0.948115 0.317927i \(-0.102987\pi\)
−0.749391 + 0.662128i \(0.769654\pi\)
\(152\) 686.197 0.366170
\(153\) 2412.75 + 1089.90i 1.27490 + 0.575905i
\(154\) −1450.26 −0.758865
\(155\) 320.803 + 555.646i 0.166242 + 0.287939i
\(156\) −1859.08 + 598.497i −0.954138 + 0.307167i
\(157\) −1173.36 + 2032.32i −0.596462 + 1.03310i 0.396877 + 0.917872i \(0.370094\pi\)
−0.993339 + 0.115230i \(0.963239\pi\)
\(158\) 615.837 1066.66i 0.310084 0.537082i
\(159\) 61.1624 283.967i 0.0305063 0.141636i
\(160\) 1931.18 + 3344.90i 0.954207 + 1.65274i
\(161\) −58.7434 −0.0287555
\(162\) 1062.23 3152.71i 0.515163 1.52902i
\(163\) −572.002 −0.274863 −0.137431 0.990511i \(-0.543885\pi\)
−0.137431 + 0.990511i \(0.543885\pi\)
\(164\) −1363.90 2362.34i −0.649406 1.12480i
\(165\) 1032.69 4794.59i 0.487239 2.26217i
\(166\) −1426.73 + 2471.17i −0.667083 + 1.15542i
\(167\) −271.886 + 470.920i −0.125983 + 0.218209i −0.922117 0.386912i \(-0.873542\pi\)
0.796134 + 0.605121i \(0.206875\pi\)
\(168\) 762.574 245.497i 0.350201 0.112741i
\(169\) 669.132 + 1158.97i 0.304566 + 0.527524i
\(170\) −9303.63 −4.19739
\(171\) −766.608 346.297i −0.342830 0.154866i
\(172\) 3038.24 1.34688
\(173\) −1017.23 1761.89i −0.447042 0.774299i 0.551150 0.834406i \(-0.314189\pi\)
−0.998192 + 0.0601072i \(0.980856\pi\)
\(174\) −1270.39 1150.10i −0.553494 0.501086i
\(175\) 1075.43 1862.69i 0.464541 0.804608i
\(176\) 47.6064 82.4568i 0.0203890 0.0353148i
\(177\) −2521.77 2282.99i −1.07089 0.969493i
\(178\) −3663.72 6345.75i −1.54274 2.67210i
\(179\) −931.218 −0.388841 −0.194420 0.980918i \(-0.562283\pi\)
−0.194420 + 0.980918i \(0.562283\pi\)
\(180\) 713.865 + 7164.62i 0.295602 + 2.96678i
\(181\) 1002.74 0.411785 0.205892 0.978575i \(-0.433990\pi\)
0.205892 + 0.978575i \(0.433990\pi\)
\(182\) 468.062 + 810.708i 0.190632 + 0.330185i
\(183\) −1725.13 + 555.376i −0.696861 + 0.224342i
\(184\) −92.4159 + 160.069i −0.0370271 + 0.0641328i
\(185\) 2041.35 3535.73i 0.811261 1.40515i
\(186\) −154.081 + 715.374i −0.0607408 + 0.282010i
\(187\) 2225.79 + 3855.18i 0.870405 + 1.50759i
\(188\) −2822.24 −1.09486
\(189\) −975.828 110.577i −0.375561 0.0425572i
\(190\) 2956.06 1.12871
\(191\) 1921.54 + 3328.21i 0.727947 + 1.26084i 0.957750 + 0.287604i \(0.0928586\pi\)
−0.229803 + 0.973237i \(0.573808\pi\)
\(192\) −909.187 + 4221.21i −0.341745 + 1.58666i
\(193\) 1733.05 3001.73i 0.646361 1.11953i −0.337624 0.941281i \(-0.609623\pi\)
0.983985 0.178250i \(-0.0570435\pi\)
\(194\) 664.227 1150.47i 0.245818 0.425769i
\(195\) −3013.51 + 970.146i −1.10668 + 0.356275i
\(196\) −314.243 544.285i −0.114520 0.198355i
\(197\) −3691.99 −1.33525 −0.667623 0.744500i \(-0.732688\pi\)
−0.667623 + 0.744500i \(0.732688\pi\)
\(198\) 4543.25 3263.45i 1.63068 1.17133i
\(199\) −481.783 −0.171622 −0.0858108 0.996311i \(-0.527348\pi\)
−0.0858108 + 0.996311i \(0.527348\pi\)
\(200\) −3383.75 5860.83i −1.19634 2.07212i
\(201\) 810.839 + 734.064i 0.284538 + 0.257596i
\(202\) 3314.56 5740.98i 1.15451 1.99967i
\(203\) −252.932 + 438.092i −0.0874501 + 0.151468i
\(204\) −4844.70 4385.97i −1.66273 1.50529i
\(205\) −2210.84 3829.29i −0.753228 1.30463i
\(206\) −256.784 −0.0868494
\(207\) 184.026 132.188i 0.0617909 0.0443849i
\(208\) −61.4588 −0.0204875
\(209\) −707.204 1224.91i −0.234059 0.405402i
\(210\) 3285.09 1057.57i 1.07949 0.347521i
\(211\) −574.892 + 995.742i −0.187570 + 0.324880i −0.944439 0.328686i \(-0.893394\pi\)
0.756870 + 0.653566i \(0.226728\pi\)
\(212\) −358.512 + 620.960i −0.116145 + 0.201169i
\(213\) −599.834 + 2784.93i −0.192958 + 0.895871i
\(214\) 684.820 + 1186.14i 0.218754 + 0.378893i
\(215\) 4924.90 1.56221
\(216\) −1836.49 + 2485.06i −0.578508 + 0.782809i
\(217\) 216.018 0.0675774
\(218\) 2137.82 + 3702.82i 0.664182 + 1.15040i
\(219\) −291.998 + 1355.70i −0.0900978 + 0.418309i
\(220\) −6053.22 + 10484.5i −1.85504 + 3.21302i
\(221\) 1436.72 2488.47i 0.437304 0.757433i
\(222\) 4432.48 1426.96i 1.34004 0.431401i
\(223\) 1007.98 + 1745.87i 0.302687 + 0.524269i 0.976744 0.214411i \(-0.0687830\pi\)
−0.674057 + 0.738680i \(0.735450\pi\)
\(224\) 1300.40 0.387886
\(225\) 822.534 + 8255.28i 0.243714 + 2.44601i
\(226\) 6364.34 1.87323
\(227\) −1521.10 2634.62i −0.444753 0.770335i 0.553282 0.832994i \(-0.313375\pi\)
−0.998035 + 0.0626590i \(0.980042\pi\)
\(228\) 1539.31 + 1393.56i 0.447121 + 0.404785i
\(229\) −2040.67 + 3534.54i −0.588870 + 1.01995i 0.405511 + 0.914090i \(0.367094\pi\)
−0.994381 + 0.105863i \(0.966240\pi\)
\(230\) −398.118 + 689.560i −0.114135 + 0.197688i
\(231\) −1224.15 1108.24i −0.348672 0.315657i
\(232\) 795.833 + 1378.42i 0.225211 + 0.390077i
\(233\) 2667.57 0.750035 0.375017 0.927018i \(-0.377637\pi\)
0.375017 + 0.927018i \(0.377637\pi\)
\(234\) −3290.61 1486.46i −0.919289 0.415268i
\(235\) −4574.77 −1.26989
\(236\) 4198.37 + 7271.79i 1.15801 + 2.00573i
\(237\) 1334.93 429.756i 0.365878 0.117788i
\(238\) −1566.19 + 2712.73i −0.426560 + 0.738824i
\(239\) 2986.31 5172.45i 0.808237 1.39991i −0.105848 0.994382i \(-0.533756\pi\)
0.914084 0.405525i \(-0.132911\pi\)
\(240\) −47.7068 + 221.495i −0.0128311 + 0.0595726i
\(241\) 1320.63 + 2287.40i 0.352984 + 0.611387i 0.986771 0.162121i \(-0.0518336\pi\)
−0.633787 + 0.773508i \(0.718500\pi\)
\(242\) 3331.54 0.884956
\(243\) 3305.82 1849.46i 0.872709 0.488241i
\(244\) 4473.57 1.17373
\(245\) −509.379 882.270i −0.132829 0.230066i
\(246\) 1061.86 4930.07i 0.275211 1.27776i
\(247\) −456.492 + 790.667i −0.117595 + 0.203680i
\(248\) 339.843 588.626i 0.0870164 0.150717i
\(249\) −3092.68 + 995.631i −0.787111 + 0.253396i
\(250\) −8646.77 14976.6i −2.18748 3.78882i
\(251\) −7001.16 −1.76060 −0.880298 0.474422i \(-0.842657\pi\)
−0.880298 + 0.474422i \(0.842657\pi\)
\(252\) 2209.22 + 997.962i 0.552252 + 0.249467i
\(253\) 380.981 0.0946721
\(254\) 5447.47 + 9435.29i 1.34569 + 2.33080i
\(255\) −7853.11 7109.53i −1.92855 1.74595i
\(256\) 1938.20 3357.06i 0.473193 0.819595i
\(257\) −2893.85 + 5012.30i −0.702388 + 1.21657i 0.265239 + 0.964183i \(0.414549\pi\)
−0.967626 + 0.252388i \(0.918784\pi\)
\(258\) 4164.11 + 3769.83i 1.00483 + 0.909687i
\(259\) −687.292 1190.43i −0.164889 0.285596i
\(260\) 7814.57 1.86400
\(261\) −193.454 1941.58i −0.0458793 0.460462i
\(262\) 9674.74 2.28133
\(263\) 3743.32 + 6483.62i 0.877653 + 1.52014i 0.853909 + 0.520422i \(0.174225\pi\)
0.0237442 + 0.999718i \(0.492441\pi\)
\(264\) −4945.68 + 1592.17i −1.15297 + 0.371179i
\(265\) −581.137 + 1006.56i −0.134713 + 0.233330i
\(266\) 497.630 861.920i 0.114705 0.198676i
\(267\) 1756.70 8156.08i 0.402653 1.86945i
\(268\) −1349.93 2338.14i −0.307686 0.532928i
\(269\) −3249.42 −0.736508 −0.368254 0.929725i \(-0.620044\pi\)
−0.368254 + 0.929725i \(0.620044\pi\)
\(270\) −7911.42 + 10705.4i −1.78324 + 2.41299i
\(271\) −3946.32 −0.884581 −0.442291 0.896872i \(-0.645834\pi\)
−0.442291 + 0.896872i \(0.645834\pi\)
\(272\) −102.824 178.097i −0.0229215 0.0397012i
\(273\) −224.429 + 1041.99i −0.0497548 + 0.231004i
\(274\) 150.374 260.455i 0.0331547 0.0574257i
\(275\) −6974.69 + 12080.5i −1.52942 + 2.64903i
\(276\) −532.389 + 171.393i −0.116109 + 0.0373791i
\(277\) −2327.13 4030.71i −0.504779 0.874303i −0.999985 0.00552735i \(-0.998241\pi\)
0.495206 0.868776i \(-0.335093\pi\)
\(278\) −8959.60 −1.93295
\(279\) −676.724 + 486.097i −0.145213 + 0.104308i
\(280\) −3205.45 −0.684150
\(281\) −3223.44 5583.17i −0.684322 1.18528i −0.973649 0.228051i \(-0.926765\pi\)
0.289327 0.957230i \(-0.406569\pi\)
\(282\) −3868.07 3501.82i −0.816809 0.739469i
\(283\) 1819.23 3151.00i 0.382127 0.661864i −0.609239 0.792987i \(-0.708525\pi\)
0.991366 + 0.131123i \(0.0418583\pi\)
\(284\) 3516.01 6089.91i 0.734636 1.27243i
\(285\) 2495.18 + 2258.93i 0.518603 + 0.469499i
\(286\) −3035.62 5257.85i −0.627622 1.08707i
\(287\) −1488.71 −0.306187
\(288\) −4073.77 + 2926.23i −0.833504 + 0.598713i
\(289\) 4701.88 0.957029
\(290\) 3428.36 + 5938.10i 0.694208 + 1.20240i
\(291\) 1439.82 463.524i 0.290048 0.0933755i
\(292\) 1711.59 2964.55i 0.343024 0.594135i
\(293\) −3163.73 + 5479.74i −0.630809 + 1.09259i 0.356578 + 0.934266i \(0.383944\pi\)
−0.987387 + 0.158328i \(0.949390\pi\)
\(294\) 244.654 1135.89i 0.0485324 0.225328i
\(295\) 6805.43 + 11787.4i 1.34314 + 2.32639i
\(296\) −4325.03 −0.849281
\(297\) 6328.74 + 717.148i 1.23647 + 0.140112i
\(298\) −12019.6 −2.33651
\(299\) −122.959 212.972i −0.0237823 0.0411922i
\(300\) 4311.85 20019.2i 0.829817 3.85271i
\(301\) 829.068 1435.99i 0.158760 0.274980i
\(302\) 1682.76 2914.62i 0.320635 0.555357i
\(303\) 7184.86 2313.03i 1.36224 0.438549i
\(304\) 32.6706 + 56.5871i 0.00616377 + 0.0106760i
\(305\) 7251.53 1.36138
\(306\) −1197.89 12022.5i −0.223788 2.24602i
\(307\) 2712.80 0.504324 0.252162 0.967685i \(-0.418858\pi\)
0.252162 + 0.967685i \(0.418858\pi\)
\(308\) 2038.03 + 3529.96i 0.377037 + 0.653047i
\(309\) −216.749 196.226i −0.0399043 0.0361259i
\(310\) 1464.01 2535.74i 0.268226 0.464581i
\(311\) −1523.04 + 2637.98i −0.277696 + 0.480983i −0.970812 0.239843i \(-0.922904\pi\)
0.693116 + 0.720826i \(0.256237\pi\)
\(312\) 2486.22 + 2250.81i 0.451137 + 0.408421i
\(313\) −2190.26 3793.65i −0.395531 0.685079i 0.597638 0.801766i \(-0.296106\pi\)
−0.993169 + 0.116687i \(0.962773\pi\)
\(314\) 10709.5 1.92475
\(315\) 3581.07 + 1617.67i 0.640542 + 0.289350i
\(316\) −3461.70 −0.616253
\(317\) −3453.12 5980.99i −0.611820 1.05970i −0.990934 0.134353i \(-0.957105\pi\)
0.379114 0.925350i \(-0.376229\pi\)
\(318\) −1261.85 + 406.229i −0.222519 + 0.0716358i
\(319\) 1640.39 2841.25i 0.287914 0.498681i
\(320\) 8638.67 14962.6i 1.50911 2.61386i
\(321\) −328.361 + 1524.53i −0.0570945 + 0.265081i
\(322\) 134.040 + 232.164i 0.0231980 + 0.0401801i
\(323\) −3054.96 −0.526261
\(324\) −9166.51 + 1844.97i −1.57176 + 0.316353i
\(325\) 9004.16 1.53680
\(326\) 1305.19 + 2260.65i 0.221741 + 0.384067i
\(327\) −1025.06 + 4759.17i −0.173351 + 0.804839i
\(328\) −2342.06 + 4056.57i −0.394264 + 0.682885i
\(329\) −770.126 + 1333.90i −0.129053 + 0.223526i
\(330\) −21305.4 + 6858.90i −3.55402 + 1.14415i
\(331\) −2851.26 4938.52i −0.473472 0.820078i 0.526067 0.850443i \(-0.323666\pi\)
−0.999539 + 0.0303654i \(0.990333\pi\)
\(332\) 8019.85 1.32574
\(333\) 4831.85 + 2182.68i 0.795147 + 0.359189i
\(334\) 2481.54 0.406539
\(335\) −2188.19 3790.06i −0.356876 0.618128i
\(336\) 56.5518 + 51.1972i 0.00918201 + 0.00831260i
\(337\) −614.807 + 1064.88i −0.0993788 + 0.172129i −0.911428 0.411460i \(-0.865019\pi\)
0.812049 + 0.583589i \(0.198352\pi\)
\(338\) 3053.63 5289.05i 0.491408 0.851143i
\(339\) 5372.08 + 4863.42i 0.860683 + 0.779188i
\(340\) 13074.3 + 22645.3i 2.08544 + 3.61209i
\(341\) −1400.99 −0.222486
\(342\) 380.610 + 3819.95i 0.0601784 + 0.603974i
\(343\) −343.000 −0.0539949
\(344\) −2608.60 4518.23i −0.408856 0.708159i
\(345\) −862.987 + 277.823i −0.134671 + 0.0433550i
\(346\) −4642.19 + 8040.50i −0.721288 + 1.24931i
\(347\) −2192.74 + 3797.94i −0.339229 + 0.587562i −0.984288 0.176571i \(-0.943500\pi\)
0.645059 + 0.764133i \(0.276833\pi\)
\(348\) −1014.12 + 4708.37i −0.156213 + 0.725274i
\(349\) −1460.02 2528.82i −0.223934 0.387865i 0.732065 0.681235i \(-0.238557\pi\)
−0.955999 + 0.293370i \(0.905223\pi\)
\(350\) −9815.59 −1.49904
\(351\) −1641.67 3769.28i −0.249646 0.573188i
\(352\) −8433.73 −1.27704
\(353\) −5565.95 9640.52i −0.839223 1.45358i −0.890545 0.454895i \(-0.849677\pi\)
0.0513214 0.998682i \(-0.483657\pi\)
\(354\) −3268.64 + 15175.8i −0.490753 + 2.27849i
\(355\) 5699.35 9871.56i 0.852084 1.47585i
\(356\) −10297.1 + 17835.2i −1.53300 + 2.65523i
\(357\) −3394.99 + 1092.95i −0.503310 + 0.162032i
\(358\) 2124.84 + 3680.34i 0.313691 + 0.543329i
\(359\) 7640.81 1.12330 0.561652 0.827373i \(-0.310166\pi\)
0.561652 + 0.827373i \(0.310166\pi\)
\(360\) 10041.7 7213.08i 1.47013 1.05601i
\(361\) −5888.34 −0.858484
\(362\) −2288.04 3963.00i −0.332201 0.575389i
\(363\) 2812.12 + 2545.85i 0.406606 + 0.368106i
\(364\) 1315.52 2278.55i 0.189429 0.328100i
\(365\) 2774.43 4805.45i 0.397864 0.689121i
\(366\) 6131.34 + 5550.78i 0.875656 + 0.792744i
\(367\) −2204.25 3817.87i −0.313518 0.543028i 0.665604 0.746305i \(-0.268174\pi\)
−0.979121 + 0.203277i \(0.934841\pi\)
\(368\) −17.6001 −0.00249312
\(369\) 4663.70 3349.98i 0.657948 0.472610i
\(370\) −18631.8 −2.61789
\(371\) 195.660 + 338.893i 0.0273804 + 0.0474243i
\(372\) 1957.77 630.267i 0.272864 0.0878436i
\(373\) −2302.17 + 3987.47i −0.319575 + 0.553521i −0.980399 0.197020i \(-0.936874\pi\)
0.660824 + 0.750541i \(0.270207\pi\)
\(374\) 10157.6 17593.4i 1.40437 2.43244i
\(375\) 4146.00 19249.2i 0.570930 2.65073i
\(376\) 2423.15 + 4197.01i 0.332352 + 0.575650i
\(377\) −2117.71 −0.289304
\(378\) 1789.61 + 4108.96i 0.243513 + 0.559106i
\(379\) 14679.5 1.98954 0.994770 0.102143i \(-0.0325700\pi\)
0.994770 + 0.102143i \(0.0325700\pi\)
\(380\) −4154.11 7195.13i −0.560793 0.971321i
\(381\) −2611.98 + 12127.0i −0.351223 + 1.63067i
\(382\) 8769.10 15188.5i 1.17452 2.03433i
\(383\) −911.873 + 1579.41i −0.121657 + 0.210716i −0.920421 0.390928i \(-0.872154\pi\)
0.798764 + 0.601644i \(0.205487\pi\)
\(384\) 11406.7 3672.18i 1.51588 0.488009i
\(385\) 3303.58 + 5721.97i 0.437314 + 0.757451i
\(386\) −15817.8 −2.08577
\(387\) 634.108 + 6364.16i 0.0832908 + 0.835939i
\(388\) −3733.71 −0.488532
\(389\) −4306.80 7459.59i −0.561345 0.972278i −0.997379 0.0723480i \(-0.976951\pi\)
0.436035 0.899930i \(-0.356383\pi\)
\(390\) 10710.4 + 9696.27i 1.39062 + 1.25895i
\(391\) 411.437 712.629i 0.0532155 0.0921719i
\(392\) −539.612 + 934.636i −0.0695269 + 0.120424i
\(393\) 8166.36 + 7393.12i 1.04819 + 0.948941i
\(394\) 8424.34 + 14591.4i 1.07719 + 1.86575i
\(395\) −5611.32 −0.714775
\(396\) −14327.9 6472.29i −1.81819 0.821325i
\(397\) −5497.04 −0.694933 −0.347467 0.937692i \(-0.612958\pi\)
−0.347467 + 0.937692i \(0.612958\pi\)
\(398\) 1099.33 + 1904.09i 0.138453 + 0.239808i
\(399\) 1078.70 347.267i 0.135344 0.0435716i
\(400\) 322.208 558.081i 0.0402760 0.0697602i
\(401\) 4310.52 7466.04i 0.536801 0.929767i −0.462273 0.886738i \(-0.652966\pi\)
0.999074 0.0430288i \(-0.0137007\pi\)
\(402\) 1050.99 4879.56i 0.130394 0.605398i
\(403\) 452.161 + 783.165i 0.0558902 + 0.0968046i
\(404\) −18631.6 −2.29445
\(405\) −14858.6 + 2990.64i −1.82304 + 0.366929i
\(406\) 2308.55 0.282196
\(407\) 4457.44 + 7720.51i 0.542867 + 0.940274i
\(408\) −2362.87 + 10970.4i −0.286714 + 1.33117i
\(409\) −4699.45 + 8139.69i −0.568149 + 0.984063i 0.428600 + 0.903494i \(0.359007\pi\)
−0.996749 + 0.0805684i \(0.974326\pi\)
\(410\) −10089.3 + 17475.3i −1.21531 + 2.10498i
\(411\) 325.960 104.937i 0.0391202 0.0125940i
\(412\) 360.854 + 625.018i 0.0431505 + 0.0747389i
\(413\) 4582.57 0.545989
\(414\) −942.338 425.680i −0.111868 0.0505338i
\(415\) 13000.0 1.53769
\(416\) 2721.94 + 4714.53i 0.320803 + 0.555646i
\(417\) −7562.71 6846.63i −0.888124 0.804031i
\(418\) −3227.38 + 5589.99i −0.377647 + 0.654104i
\(419\) 297.363 515.048i 0.0346710 0.0600519i −0.848169 0.529725i \(-0.822295\pi\)
0.882840 + 0.469673i \(0.155628\pi\)
\(420\) −7190.64 6509.79i −0.835398 0.756298i
\(421\) −1558.89 2700.07i −0.180464 0.312574i 0.761574 0.648078i \(-0.224427\pi\)
−0.942039 + 0.335504i \(0.891093\pi\)
\(422\) 5247.13 0.605276
\(423\) −589.027 5911.70i −0.0677056 0.679520i
\(424\) 1231.26 0.141026
\(425\) 15064.5 + 26092.5i 1.71938 + 2.97805i
\(426\) 12375.2 3983.98i 1.40747 0.453109i
\(427\) 1220.74 2114.38i 0.138351 0.239630i
\(428\) 1924.73 3333.73i 0.217373 0.376500i
\(429\) 1455.54 6757.82i 0.163809 0.760538i
\(430\) −11237.6 19464.1i −1.26029 2.18288i
\(431\) −8465.93 −0.946148 −0.473074 0.881023i \(-0.656856\pi\)
−0.473074 + 0.881023i \(0.656856\pi\)
\(432\) −292.367 33.1300i −0.0325614 0.00368974i
\(433\) 5368.98 0.595881 0.297941 0.954584i \(-0.403700\pi\)
0.297941 + 0.954584i \(0.403700\pi\)
\(434\) −492.909 853.743i −0.0545170 0.0944262i
\(435\) −1643.85 + 7632.14i −0.181188 + 0.841225i
\(436\) 6008.50 10407.0i 0.659988 1.14313i
\(437\) −130.727 + 226.425i −0.0143101 + 0.0247858i
\(438\) 6024.24 1939.40i 0.657191 0.211571i
\(439\) 8896.36 + 15408.9i 0.967198 + 1.67524i 0.703589 + 0.710607i \(0.251580\pi\)
0.263609 + 0.964630i \(0.415087\pi\)
\(440\) 20788.9 2.25244
\(441\) 1074.52 771.838i 0.116026 0.0833428i
\(442\) −13113.2 −1.41115
\(443\) −4431.80 7676.10i −0.475307 0.823256i 0.524293 0.851538i \(-0.324330\pi\)
−0.999600 + 0.0282821i \(0.990996\pi\)
\(444\) −9702.15 8783.49i −1.03703 0.938842i
\(445\) −16691.4 + 28910.3i −1.77808 + 3.07973i
\(446\) 4599.99 7967.41i 0.488376 0.845892i
\(447\) −10145.7 9185.01i −1.07354 0.971893i
\(448\) −2908.51 5037.68i −0.306728 0.531268i
\(449\) 114.115 0.0119943 0.00599714 0.999982i \(-0.498091\pi\)
0.00599714 + 0.999982i \(0.498091\pi\)
\(450\) 30749.5 22087.6i 3.22121 2.31382i
\(451\) 9655.04 1.00807
\(452\) −8943.71 15491.0i −0.930701 1.61202i
\(453\) 3647.66 1174.30i 0.378327 0.121795i
\(454\) −6941.66 + 12023.3i −0.717595 + 1.24291i
\(455\) 2132.42 3693.46i 0.219713 0.380554i
\(456\) 750.758 3485.65i 0.0770997 0.357961i
\(457\) −4031.28 6982.39i −0.412638 0.714710i 0.582540 0.812802i \(-0.302059\pi\)
−0.995177 + 0.0980929i \(0.968726\pi\)
\(458\) 18625.5 1.90025
\(459\) 8176.10 11063.5i 0.831433 1.12505i
\(460\) 2237.87 0.226829
\(461\) −2064.94 3576.57i −0.208620 0.361340i 0.742660 0.669668i \(-0.233564\pi\)
−0.951280 + 0.308329i \(0.900230\pi\)
\(462\) −1586.71 + 7366.83i −0.159784 + 0.741852i
\(463\) −5909.24 + 10235.1i −0.593144 + 1.02736i 0.400662 + 0.916226i \(0.368780\pi\)
−0.993806 + 0.111130i \(0.964553\pi\)
\(464\) −75.7810 + 131.256i −0.00758199 + 0.0131324i
\(465\) 3173.48 1021.64i 0.316488 0.101887i
\(466\) −6086.83 10542.7i −0.605079 1.04803i
\(467\) 1590.26 0.157577 0.0787884 0.996891i \(-0.474895\pi\)
0.0787884 + 0.996891i \(0.474895\pi\)
\(468\) 1006.17 + 10098.3i 0.0993807 + 0.997424i
\(469\) −1473.46 −0.145070
\(470\) 10438.7 + 18080.3i 1.02447 + 1.77443i
\(471\) 9039.76 + 8183.82i 0.884353 + 0.800617i
\(472\) 7209.35 12487.0i 0.703045 1.21771i
\(473\) −5376.93 + 9313.11i −0.522688 + 0.905322i
\(474\) −4744.50 4295.26i −0.459751 0.416219i
\(475\) −4786.48 8290.42i −0.462355 0.800822i
\(476\) 8803.79 0.847734
\(477\) −1375.54 621.369i −0.132037 0.0596447i
\(478\) −27256.6 −2.60813
\(479\) −6567.28 11374.9i −0.626444 1.08503i −0.988260 0.152783i \(-0.951177\pi\)
0.361816 0.932249i \(-0.382157\pi\)
\(480\) 19103.8 6150.13i 1.81660 0.584821i
\(481\) 2877.22 4983.50i 0.272744 0.472407i
\(482\) 6026.80 10438.7i 0.569529 0.986453i
\(483\) −64.2703 + 298.397i −0.00605466 + 0.0281108i
\(484\) −4681.76 8109.04i −0.439684 0.761555i
\(485\) −6052.23 −0.566635
\(486\) −14852.6 8845.09i −1.38627 0.825559i
\(487\) −18337.9 −1.70631 −0.853153 0.521661i \(-0.825313\pi\)
−0.853153 + 0.521661i \(0.825313\pi\)
\(488\) −3840.97 6652.75i −0.356296 0.617122i
\(489\) −625.819 + 2905.58i −0.0578743 + 0.268701i
\(490\) −2324.59 + 4026.31i −0.214315 + 0.371204i
\(491\) 4048.59 7012.36i 0.372119 0.644528i −0.617773 0.786357i \(-0.711965\pi\)
0.989891 + 0.141828i \(0.0452981\pi\)
\(492\) −13492.1 + 4343.54i −1.23632 + 0.398012i
\(493\) −3543.06 6136.76i −0.323674 0.560620i
\(494\) 4166.47 0.379471
\(495\) −23225.1 10491.4i −2.10887 0.952632i
\(496\) 64.7212 0.00585901
\(497\) −1918.88 3323.60i −0.173186 0.299968i
\(498\) 10991.8 + 9950.99i 0.989061 + 0.895411i
\(499\) 301.177 521.655i 0.0270191 0.0467985i −0.852200 0.523217i \(-0.824732\pi\)
0.879219 + 0.476418i \(0.158065\pi\)
\(500\) −24302.3 + 42092.9i −2.17367 + 3.76490i
\(501\) 2094.65 + 1896.32i 0.186790 + 0.169104i
\(502\) 15975.2 + 27669.8i 1.42033 + 2.46009i
\(503\) 11416.3 1.01198 0.505992 0.862538i \(-0.331126\pi\)
0.505992 + 0.862538i \(0.331126\pi\)
\(504\) −412.719 4142.21i −0.0364761 0.366089i
\(505\) −30201.3 −2.66126
\(506\) −869.317 1505.70i −0.0763752 0.132286i
\(507\) 6619.26 2130.95i 0.579826 0.186664i
\(508\) 15310.5 26518.5i 1.33719 2.31608i
\(509\) −6406.07 + 11095.6i −0.557847 + 0.966220i 0.439829 + 0.898082i \(0.355039\pi\)
−0.997676 + 0.0681380i \(0.978294\pi\)
\(510\) −10179.0 + 47259.3i −0.883789 + 4.10329i
\(511\) −934.108 1617.92i −0.0808659 0.140064i
\(512\) 759.150 0.0655273
\(513\) −2597.81 + 3515.23i −0.223579 + 0.302536i
\(514\) 26412.7 2.26656
\(515\) 584.935 + 1013.14i 0.0500491 + 0.0866876i
\(516\) 3324.09 15433.2i 0.283595 1.31669i
\(517\) 4994.66 8651.00i 0.424884 0.735920i
\(518\) −3136.51 + 5432.60i −0.266043 + 0.460801i
\(519\) −10062.7 + 3239.51i −0.851068 + 0.273986i
\(520\) −6709.51 11621.2i −0.565830 0.980046i
\(521\) 3033.32 0.255071 0.127536 0.991834i \(-0.459293\pi\)
0.127536 + 0.991834i \(0.459293\pi\)
\(522\) −7232.04 + 5194.84i −0.606394 + 0.435578i
\(523\) 12789.3 1.06928 0.534642 0.845078i \(-0.320446\pi\)
0.534642 + 0.845078i \(0.320446\pi\)
\(524\) −13595.8 23548.6i −1.13346 1.96321i
\(525\) −8285.25 7500.76i −0.688758 0.623543i
\(526\) 17082.9 29588.5i 1.41607 2.45270i
\(527\) −1512.99 + 2620.57i −0.125060 + 0.216611i
\(528\) −366.767 332.039i −0.0302301 0.0273677i
\(529\) 6048.29 + 10475.9i 0.497106 + 0.861013i
\(530\) 5304.13 0.434711
\(531\) −14355.9 + 10312.0i −1.17324 + 0.842751i
\(532\) −2797.25 −0.227962
\(533\) −3116.11 5397.25i −0.253234 0.438614i
\(534\) −36242.7 + 11667.7i −2.93703 + 0.945523i
\(535\) 3119.94 5403.89i 0.252124 0.436692i
\(536\) −2318.06 + 4015.01i −0.186801 + 0.323548i
\(537\) −1018.83 + 4730.28i −0.0818731 + 0.380124i
\(538\) 7414.49 + 12842.3i 0.594166 + 1.02913i
\(539\) 2224.53 0.177768
\(540\) 37174.9 + 4212.52i 2.96251 + 0.335700i
\(541\) 3836.05 0.304851 0.152426 0.988315i \(-0.451292\pi\)
0.152426 + 0.988315i \(0.451292\pi\)
\(542\) 9004.66 + 15596.5i 0.713622 + 1.23603i
\(543\) 1097.08 5093.58i 0.0867041 0.402553i
\(544\) −9107.93 + 15775.4i −0.717830 + 1.24332i
\(545\) 9739.60 16869.5i 0.765502 1.32589i
\(546\) 4630.22 1490.62i 0.362922 0.116836i
\(547\) −2438.27 4223.20i −0.190590 0.330112i 0.754856 0.655891i \(-0.227707\pi\)
−0.945446 + 0.325779i \(0.894373\pi\)
\(548\) −845.271 −0.0658908
\(549\) 933.676 + 9370.73i 0.0725834 + 0.728476i
\(550\) 63659.1 4.93533
\(551\) 1125.74 + 1949.84i 0.0870386 + 0.150755i
\(552\) 711.986 + 644.571i 0.0548988 + 0.0497006i
\(553\) −944.622 + 1636.13i −0.0726391 + 0.125815i
\(554\) −10620.1 + 18394.5i −0.814445 + 1.41066i
\(555\) −15726.9 14237.8i −1.20283 1.08894i
\(556\) 12590.8 + 21807.9i 0.960374 + 1.66342i
\(557\) 26004.6 1.97819 0.989095 0.147276i \(-0.0470506\pi\)
0.989095 + 0.147276i \(0.0470506\pi\)
\(558\) 3465.28 + 1565.36i 0.262898 + 0.118758i
\(559\) 6941.48 0.525212
\(560\) −152.615 264.337i −0.0115163 0.0199469i
\(561\) 22018.2 7088.36i 1.65706 0.533460i
\(562\) −14710.4 + 25479.2i −1.10413 + 1.91241i
\(563\) −7675.11 + 13293.7i −0.574542 + 0.995137i 0.421549 + 0.906806i \(0.361487\pi\)
−0.996091 + 0.0883309i \(0.971847\pi\)
\(564\) −3087.77 + 14336.0i −0.230529 + 1.07031i
\(565\) −14497.5 25110.4i −1.07949 1.86974i
\(566\) −16604.4 −1.23310
\(567\) −1629.33 + 4835.90i −0.120680 + 0.358181i
\(568\) −12075.2 −0.892017
\(569\) 10436.7 + 18077.0i 0.768947 + 1.33186i 0.938134 + 0.346272i \(0.112552\pi\)
−0.169187 + 0.985584i \(0.554114\pi\)
\(570\) 3234.18 15015.8i 0.237658 1.10341i
\(571\) 3.53471 6.12229i 0.000259059 0.000448704i −0.865896 0.500224i \(-0.833251\pi\)
0.866155 + 0.499776i \(0.166584\pi\)
\(572\) −8531.82 + 14777.5i −0.623660 + 1.08021i
\(573\) 19008.5 6119.44i 1.38585 0.446149i
\(574\) 3396.92 + 5883.64i 0.247012 + 0.427837i
\(575\) 2578.54 0.187013
\(576\) 20447.6 + 9236.73i 1.47914 + 0.668166i
\(577\) −13121.5 −0.946715 −0.473357 0.880870i \(-0.656958\pi\)
−0.473357 + 0.880870i \(0.656958\pi\)
\(578\) −10728.7 18582.7i −0.772068 1.33726i
\(579\) −13351.7 12087.5i −0.958337 0.867596i
\(580\) 9635.65 16689.4i 0.689825 1.19481i
\(581\) 2188.44 3790.49i 0.156268 0.270664i
\(582\) −5117.30 4632.76i −0.364466 0.329956i
\(583\) −1268.95 2197.89i −0.0901452 0.156136i
\(584\) −5878.20 −0.416510
\(585\) 1630.97 + 16369.1i 0.115269 + 1.15688i
\(586\) 28875.9 2.03558
\(587\) 1918.15 + 3322.34i 0.134873 + 0.233607i 0.925549 0.378628i \(-0.123604\pi\)
−0.790676 + 0.612235i \(0.790271\pi\)
\(588\) −3108.59 + 1000.75i −0.218021 + 0.0701878i
\(589\) 480.724 832.638i 0.0336297 0.0582483i
\(590\) 31057.1 53792.5i 2.16712 3.75357i
\(591\) −4039.35 + 18754.1i −0.281145 + 1.30531i
\(592\) −205.919 356.663i −0.0142960 0.0247614i
\(593\) 2999.00 0.207680 0.103840 0.994594i \(-0.466887\pi\)
0.103840 + 0.994594i \(0.466887\pi\)
\(594\) −11606.5 26648.7i −0.801721 1.84075i
\(595\) 14270.7 0.983263
\(596\) 16891.0 + 29256.1i 1.16088 + 2.01070i
\(597\) −527.112 + 2447.30i −0.0361361 + 0.167774i
\(598\) −561.134 + 971.913i −0.0383720 + 0.0664623i
\(599\) −4181.01 + 7241.73i −0.285195 + 0.493972i −0.972656 0.232249i \(-0.925392\pi\)
0.687462 + 0.726221i \(0.258725\pi\)
\(600\) −33473.2 + 10776.1i −2.27756 + 0.733219i
\(601\) 7265.07 + 12583.5i 0.493092 + 0.854061i 0.999968 0.00795794i \(-0.00253312\pi\)
−0.506876 + 0.862019i \(0.669200\pi\)
\(602\) −7567.04 −0.512308
\(603\) 4615.92 3315.66i 0.311733 0.223921i
\(604\) −9459.02 −0.637222
\(605\) −7588.99 13144.5i −0.509977 0.883307i
\(606\) −25535.9 23118.0i −1.71175 1.54968i
\(607\) 6504.64 11266.4i 0.434951 0.753357i −0.562341 0.826906i \(-0.690099\pi\)
0.997292 + 0.0735487i \(0.0234324\pi\)
\(608\) 2893.88 5012.35i 0.193030 0.334338i
\(609\) 1948.63 + 1764.12i 0.129659 + 0.117382i
\(610\) −16546.5 28659.3i −1.09827 1.90227i
\(611\) −6447.98 −0.426935
\(612\) −27579.8 + 19810.8i −1.82164 + 1.30850i
\(613\) 3740.67 0.246467 0.123233 0.992378i \(-0.460674\pi\)
0.123233 + 0.992378i \(0.460674\pi\)
\(614\) −6190.03 10721.5i −0.406856 0.704695i
\(615\) −21870.3 + 7040.75i −1.43398 + 0.461643i
\(616\) 3499.66 6061.58i 0.228905 0.396474i
\(617\) −11342.8 + 19646.3i −0.740104 + 1.28190i 0.212344 + 0.977195i \(0.431890\pi\)
−0.952448 + 0.304703i \(0.901443\pi\)
\(618\) −280.944 + 1304.38i −0.0182867 + 0.0849024i
\(619\) 594.523 + 1029.74i 0.0386040 + 0.0668641i 0.884682 0.466195i \(-0.154376\pi\)
−0.846078 + 0.533059i \(0.821042\pi\)
\(620\) −8229.39 −0.533065
\(621\) −470.128 1079.42i −0.0303794 0.0697512i
\(622\) 13901.0 0.896107
\(623\) 5619.72 + 9733.64i 0.361395 + 0.625955i
\(624\) −67.2412 + 312.190i −0.00431378 + 0.0200282i
\(625\) −20189.3 + 34968.9i −1.29212 + 2.23801i
\(626\) −9995.45 + 17312.6i −0.638176 + 1.10535i
\(627\) −6995.89 + 2252.20i −0.445596 + 0.143452i
\(628\) −15049.8 26067.1i −0.956296 1.65635i
\(629\) 19255.1 1.22059
\(630\) −1777.95 17844.2i −0.112437 1.12846i
\(631\) 23574.4 1.48729 0.743646 0.668574i \(-0.233095\pi\)
0.743646 + 0.668574i \(0.233095\pi\)
\(632\) 2972.18 + 5147.97i 0.187068 + 0.324012i
\(633\) 4429.05 + 4009.69i 0.278103 + 0.251770i
\(634\) −15758.6 + 27294.7i −0.987152 + 1.70980i
\(635\) 24817.8 42985.8i 1.55097 2.68636i
\(636\) 2762.03 + 2500.50i 0.172204 + 0.155898i
\(637\) −717.953 1243.53i −0.0446567 0.0773477i
\(638\) −14972.1 −0.929079
\(639\) 13490.3 + 6093.91i 0.835159 + 0.377264i
\(640\) −47947.7 −2.96140
\(641\) 6996.33 + 12118.0i 0.431105 + 0.746696i 0.996969 0.0778026i \(-0.0247904\pi\)
−0.565863 + 0.824499i \(0.691457\pi\)
\(642\) 6774.45 2180.91i 0.416459 0.134071i
\(643\) −5948.33 + 10302.8i −0.364820 + 0.631886i −0.988747 0.149596i \(-0.952203\pi\)
0.623927 + 0.781482i \(0.285536\pi\)
\(644\) 376.729 652.513i 0.0230515 0.0399264i
\(645\) 5388.26 25016.8i 0.328934 1.52719i
\(646\) 6970.77 + 12073.7i 0.424553 + 0.735347i
\(647\) −5011.63 −0.304525 −0.152262 0.988340i \(-0.548656\pi\)
−0.152262 + 0.988340i \(0.548656\pi\)
\(648\) 10614.0 + 12047.6i 0.643451 + 0.730364i
\(649\) −29720.3 −1.79757
\(650\) −20545.6 35586.0i −1.23979 2.14738i
\(651\) 236.343 1097.30i 0.0142289 0.0660624i
\(652\) 3668.32 6353.72i 0.220341 0.381642i
\(653\) 6238.61 10805.6i 0.373868 0.647558i −0.616289 0.787520i \(-0.711365\pi\)
0.990157 + 0.139962i \(0.0446981\pi\)
\(654\) 21148.0 6808.22i 1.26445 0.407068i
\(655\) −22038.3 38171.5i −1.31467 2.27708i
\(656\) −446.032 −0.0265467
\(657\) 6567.03 + 2966.50i 0.389961 + 0.176156i
\(658\) 7029.06 0.416446
\(659\) −14463.6 25051.6i −0.854962 1.48084i −0.876680 0.481073i \(-0.840247\pi\)
0.0217183 0.999764i \(-0.493086\pi\)
\(660\) 46634.9 + 42219.3i 2.75040 + 2.48997i
\(661\) 12339.9 21373.3i 0.726121 1.25768i −0.232389 0.972623i \(-0.574654\pi\)
0.958511 0.285056i \(-0.0920123\pi\)
\(662\) −13011.9 + 22537.3i −0.763933 + 1.32317i
\(663\) −11068.7 10020.7i −0.648375 0.586983i
\(664\) −6885.77 11926.5i −0.402439 0.697045i
\(665\) −4534.26 −0.264407
\(666\) −2398.94 24076.7i −0.139575 1.40083i
\(667\) −606.453 −0.0352053
\(668\) −3487.28 6040.14i −0.201986 0.349850i
\(669\) 9971.24 3210.06i 0.576249 0.185513i
\(670\) −9985.98 + 17296.2i −0.575809 + 0.997330i
\(671\) −7917.11 + 13712.8i −0.455494 + 0.788939i
\(672\) 1422.74 6605.58i 0.0816720 0.379190i
\(673\) 537.810 + 931.515i 0.0308040 + 0.0533540i 0.881016 0.473086i \(-0.156860\pi\)
−0.850212 + 0.526440i \(0.823527\pi\)
\(674\) 5611.44 0.320689
\(675\) 42833.9 + 4853.78i 2.44249 + 0.276774i
\(676\) −17164.9 −0.976610
\(677\) −11518.6 19950.8i −0.653908 1.13260i −0.982166 0.188013i \(-0.939795\pi\)
0.328259 0.944588i \(-0.393538\pi\)
\(678\) 6963.14 32328.7i 0.394421 1.83123i
\(679\) −1018.85 + 1764.69i −0.0575843 + 0.0997389i
\(680\) 22450.8 38886.0i 1.26610 2.19296i
\(681\) −15047.2 + 4844.17i −0.846711 + 0.272583i
\(682\) 3196.76 + 5536.95i 0.179487 + 0.310881i
\(683\) −1233.44 −0.0691015 −0.0345508 0.999403i \(-0.511000\pi\)
−0.0345508 + 0.999403i \(0.511000\pi\)
\(684\) 8762.97 6294.52i 0.489855 0.351867i
\(685\) −1370.16 −0.0764249
\(686\) 782.654 + 1355.60i 0.0435596 + 0.0754474i
\(687\) 15721.6 + 14233.0i 0.873097 + 0.790427i
\(688\) 248.397 430.236i 0.0137646 0.0238410i
\(689\) −819.093 + 1418.71i −0.0452902 + 0.0784450i
\(690\) 3067.16 + 2776.74i 0.169224 + 0.153201i
\(691\) 15214.0 + 26351.4i 0.837578 + 1.45073i 0.891914 + 0.452205i \(0.149363\pi\)
−0.0543356 + 0.998523i \(0.517304\pi\)
\(692\) 26094.4 1.43347
\(693\) −6968.81 + 5005.76i −0.381996 + 0.274391i
\(694\) 20013.5 1.09467
\(695\) 20409.3 + 35349.9i 1.11391 + 1.92935i
\(696\) 7872.63 2534.45i 0.428752 0.138029i
\(697\) 10426.9 18059.9i 0.566637 0.981444i
\(698\) −6662.90 + 11540.5i −0.361310 + 0.625808i
\(699\) 2918.55 13550.3i 0.157925 0.733220i
\(700\) 13793.7 + 23891.4i 0.744790 + 1.29001i
\(701\) 359.627 0.0193765 0.00968825 0.999953i \(-0.496916\pi\)
0.00968825 + 0.999953i \(0.496916\pi\)
\(702\) −11150.9 + 15088.9i −0.599521 + 0.811242i
\(703\) −6117.96 −0.328226
\(704\) 18863.1 + 32671.9i 1.00985 + 1.74910i
\(705\) −5005.19 + 23238.3i −0.267385 + 1.24142i
\(706\) −25400.7 + 43995.3i −1.35406 + 2.34530i
\(707\) −5084.15 + 8806.00i −0.270451 + 0.468435i
\(708\) 41531.6 13370.3i 2.20460 0.709729i
\(709\) −16634.0 28810.9i −0.881103 1.52611i −0.850116 0.526595i \(-0.823469\pi\)
−0.0309861 0.999520i \(-0.509865\pi\)
\(710\) −52018.8 −2.74962
\(711\) −722.489 7251.18i −0.0381089 0.382476i
\(712\) 35364.1 1.86141
\(713\) 129.486 + 224.277i 0.00680126 + 0.0117801i
\(714\) 12066.2 + 10923.7i 0.632445 + 0.572562i
\(715\) −13829.8 + 23954.0i −0.723366 + 1.25291i
\(716\) 5972.02 10343.8i 0.311711 0.539899i
\(717\) −23007.0 20828.6i −1.19834 1.08488i
\(718\) −17434.7 30197.8i −0.906209 1.56960i
\(719\) −8882.66 −0.460733 −0.230367 0.973104i \(-0.573993\pi\)
−0.230367 + 0.973104i \(0.573993\pi\)
\(720\) 1072.92 + 484.669i 0.0555354 + 0.0250869i
\(721\) 393.877 0.0203450
\(722\) 13436.0 + 23271.8i 0.692569 + 1.19956i
\(723\) 13064.1 4205.74i 0.672004 0.216339i
\(724\) −6430.69 + 11138.3i −0.330103 + 0.571756i
\(725\) 11102.5 19230.0i 0.568738 0.985083i
\(726\) 3644.99 16923.1i 0.186333 0.865116i
\(727\) 8494.42 + 14712.8i 0.433343 + 0.750573i 0.997159 0.0753280i \(-0.0240004\pi\)
−0.563815 + 0.825901i \(0.690667\pi\)
\(728\) −4517.97 −0.230010
\(729\) −5777.77 18815.9i −0.293541 0.955946i
\(730\) −25322.7 −1.28388
\(731\) 11613.5 + 20115.2i 0.587609 + 1.01777i
\(732\) 4894.47 22724.2i 0.247138 1.14742i
\(733\) 10991.9 19038.5i 0.553882 0.959351i −0.444108 0.895973i \(-0.646479\pi\)
0.997990 0.0633778i \(-0.0201873\pi\)
\(734\) −10059.3 + 17423.2i −0.505851 + 0.876159i
\(735\) −5038.94 + 1622.19i −0.252876 + 0.0814089i
\(736\) 779.487 + 1350.11i 0.0390384 + 0.0676165i
\(737\) 9556.12 0.477618
\(738\) −23881.3 10787.8i −1.19117 0.538083i
\(739\) 18909.8 0.941284 0.470642 0.882324i \(-0.344022\pi\)
0.470642 + 0.882324i \(0.344022\pi\)
\(740\) 26182.9 + 45350.2i 1.30068 + 2.25284i
\(741\) 3516.88 + 3183.88i 0.174353 + 0.157845i
\(742\) 892.909 1546.56i 0.0441775 0.0765177i
\(743\) 5004.66 8668.33i 0.247111 0.428008i −0.715612 0.698498i \(-0.753852\pi\)
0.962723 + 0.270489i \(0.0871855\pi\)
\(744\) −2618.20 2370.30i −0.129016 0.116800i
\(745\) 27379.8 + 47423.2i 1.34647 + 2.33215i
\(746\) 21012.2 1.03125
\(747\) 1673.82 + 16799.1i 0.0819836 + 0.822819i
\(748\) −57097.0 −2.79101
\(749\) −1050.43 1819.40i −0.0512443 0.0887578i
\(750\) −85536.6 + 27536.9i −4.16447 + 1.34068i
\(751\) 14626.9 25334.5i 0.710708 1.23098i −0.253884 0.967235i \(-0.581708\pi\)
0.964592 0.263747i \(-0.0849585\pi\)
\(752\) −230.737 + 399.649i −0.0111890 + 0.0193799i
\(753\) −7659.87 + 35563.5i −0.370705 + 1.72113i
\(754\) 4832.17 + 8369.56i 0.233391 + 0.404246i
\(755\) −15332.8 −0.739096
\(756\) 7486.38 10130.2i 0.360155 0.487344i
\(757\) −20805.2 −0.998912 −0.499456 0.866339i \(-0.666467\pi\)
−0.499456 + 0.866339i \(0.666467\pi\)
\(758\) −33495.5 58016.0i −1.60503 2.77999i
\(759\) 416.825 1935.25i 0.0199339 0.0925497i
\(760\) −7133.35 + 12355.3i −0.340466 + 0.589704i
\(761\) −5062.52 + 8768.54i −0.241151 + 0.417687i −0.961043 0.276400i \(-0.910858\pi\)
0.719891 + 0.694087i \(0.244192\pi\)
\(762\) 53888.1 17348.3i 2.56189 0.824753i
\(763\) −3279.17 5679.69i −0.155588 0.269487i
\(764\) −49292.3 −2.33421
\(765\) −44706.0 + 32112.7i −2.11287 + 1.51770i
\(766\) 8322.81 0.392579
\(767\) 9592.04 + 16613.9i 0.451562 + 0.782129i
\(768\) −14932.2 13518.3i −0.701587 0.635157i
\(769\) 18632.4 32272.3i 0.873735 1.51335i 0.0156305 0.999878i \(-0.495024\pi\)
0.858104 0.513475i \(-0.171642\pi\)
\(770\) 15076.2 26112.7i 0.705593 1.22212i
\(771\) 22294.7 + 20183.7i 1.04140 + 0.942798i
\(772\) 22228.6 + 38501.0i 1.03630 + 1.79492i