Properties

Label 63.4.h.a.25.10
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 25.10
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.10

$q$-expansion

\(f(q)\) \(=\) \(q-0.590775 q^{2} +(4.35408 + 2.83584i) q^{3} -7.65099 q^{4} +(-5.49223 + 9.51282i) q^{5} +(-2.57228 - 1.67534i) q^{6} +(-16.7104 + 7.98524i) q^{7} +9.24621 q^{8} +(10.9161 + 24.6949i) q^{9} +O(q^{10})\) \(q-0.590775 q^{2} +(4.35408 + 2.83584i) q^{3} -7.65099 q^{4} +(-5.49223 + 9.51282i) q^{5} +(-2.57228 - 1.67534i) q^{6} +(-16.7104 + 7.98524i) q^{7} +9.24621 q^{8} +(10.9161 + 24.6949i) q^{9} +(3.24467 - 5.61993i) q^{10} +(-22.8924 - 39.6508i) q^{11} +(-33.3130 - 21.6969i) q^{12} +(37.1957 + 64.4248i) q^{13} +(9.87206 - 4.71748i) q^{14} +(-50.8904 + 25.8445i) q^{15} +55.7455 q^{16} +(-40.4681 + 70.0928i) q^{17} +(-6.44893 - 14.5891i) q^{18} +(8.05953 + 13.9595i) q^{19} +(42.0210 - 72.7824i) q^{20} +(-95.4031 - 12.6195i) q^{21} +(13.5242 + 23.4247i) q^{22} +(67.0601 - 116.152i) q^{23} +(40.2588 + 26.2207i) q^{24} +(2.17087 + 3.76006i) q^{25} +(-21.9743 - 38.0606i) q^{26} +(-22.5014 + 138.480i) q^{27} +(127.851 - 61.0949i) q^{28} +(114.686 - 198.643i) q^{29} +(30.0648 - 15.2683i) q^{30} +91.6652 q^{31} -106.903 q^{32} +(12.7678 - 237.562i) q^{33} +(23.9075 - 41.4091i) q^{34} +(15.8150 - 202.819i) q^{35} +(-83.5186 - 188.941i) q^{36} +(5.76196 + 9.98001i) q^{37} +(-4.76137 - 8.24693i) q^{38} +(-20.7452 + 385.992i) q^{39} +(-50.7823 + 87.9575i) q^{40} +(56.3705 + 97.6366i) q^{41} +(56.3617 + 7.45526i) q^{42} +(-248.834 + 430.992i) q^{43} +(175.149 + 303.367i) q^{44} +(-294.872 - 31.7877i) q^{45} +(-39.6174 + 68.6194i) q^{46} -82.9547 q^{47} +(242.720 + 158.085i) q^{48} +(215.472 - 266.872i) q^{49} +(-1.28250 - 2.22135i) q^{50} +(-374.973 + 190.429i) q^{51} +(-284.584 - 492.913i) q^{52} +(-247.056 + 427.914i) q^{53} +(13.2933 - 81.8105i) q^{54} +502.921 q^{55} +(-154.507 + 73.8332i) q^{56} +(-4.49505 + 83.6364i) q^{57} +(-67.7539 + 117.353i) q^{58} +259.001 q^{59} +(389.362 - 197.736i) q^{60} +161.653 q^{61} -54.1535 q^{62} +(-379.606 - 325.494i) q^{63} -382.808 q^{64} -817.149 q^{65} +(-7.54290 + 140.346i) q^{66} -293.870 q^{67} +(309.621 - 536.279i) q^{68} +(621.372 - 315.562i) q^{69} +(-9.34309 + 119.821i) q^{70} +249.873 q^{71} +(100.932 + 228.334i) q^{72} +(-398.968 + 691.033i) q^{73} +(-3.40402 - 5.89594i) q^{74} +(-1.21076 + 22.5278i) q^{75} +(-61.6633 - 106.804i) q^{76} +(699.161 + 479.777i) q^{77} +(12.2557 - 228.034i) q^{78} +740.823 q^{79} +(-306.167 + 530.296i) q^{80} +(-490.679 + 539.143i) q^{81} +(-33.3023 - 57.6813i) q^{82} +(215.540 - 373.327i) q^{83} +(729.928 + 96.5513i) q^{84} +(-444.520 - 769.932i) q^{85} +(147.005 - 254.619i) q^{86} +(1062.67 - 539.675i) q^{87} +(-211.668 - 366.619i) q^{88} +(-224.168 - 388.270i) q^{89} +(174.203 + 18.7794i) q^{90} +(-1136.00 - 779.545i) q^{91} +(-513.076 + 888.674i) q^{92} +(399.118 + 259.948i) q^{93} +49.0075 q^{94} -177.059 q^{95} +(-465.463 - 303.159i) q^{96} +(125.941 - 218.136i) q^{97} +(-127.295 + 157.661i) q^{98} +(729.278 - 998.156i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.590775 −0.208870 −0.104435 0.994532i \(-0.533303\pi\)
−0.104435 + 0.994532i \(0.533303\pi\)
\(3\) 4.35408 + 2.83584i 0.837943 + 0.545757i
\(4\) −7.65099 −0.956373
\(5\) −5.49223 + 9.51282i −0.491240 + 0.850852i −0.999949 0.0100861i \(-0.996789\pi\)
0.508709 + 0.860938i \(0.330123\pi\)
\(6\) −2.57228 1.67534i −0.175022 0.113993i
\(7\) −16.7104 + 7.98524i −0.902274 + 0.431162i
\(8\) 9.24621 0.408629
\(9\) 10.9161 + 24.6949i 0.404298 + 0.914627i
\(10\) 3.24467 5.61993i 0.102605 0.177718i
\(11\) −22.8924 39.6508i −0.627483 1.08683i −0.988055 0.154101i \(-0.950752\pi\)
0.360572 0.932731i \(-0.382581\pi\)
\(12\) −33.3130 21.6969i −0.801387 0.521947i
\(13\) 37.1957 + 64.4248i 0.793556 + 1.37448i 0.923752 + 0.382991i \(0.125106\pi\)
−0.130196 + 0.991488i \(0.541561\pi\)
\(14\) 9.87206 4.71748i 0.188458 0.0900571i
\(15\) −50.8904 + 25.8445i −0.875990 + 0.444869i
\(16\) 55.7455 0.871023
\(17\) −40.4681 + 70.0928i −0.577351 + 1.00000i 0.418431 + 0.908248i \(0.362580\pi\)
−0.995782 + 0.0917521i \(0.970753\pi\)
\(18\) −6.44893 14.5891i −0.0844460 0.191039i
\(19\) 8.05953 + 13.9595i 0.0973149 + 0.168554i 0.910572 0.413350i \(-0.135641\pi\)
−0.813258 + 0.581904i \(0.802308\pi\)
\(20\) 42.0210 72.7824i 0.469809 0.813732i
\(21\) −95.4031 12.6195i −0.991365 0.131133i
\(22\) 13.5242 + 23.4247i 0.131063 + 0.227007i
\(23\) 67.0601 116.152i 0.607957 1.05301i −0.383620 0.923491i \(-0.625323\pi\)
0.991577 0.129521i \(-0.0413439\pi\)
\(24\) 40.2588 + 26.2207i 0.342408 + 0.223012i
\(25\) 2.17087 + 3.76006i 0.0173670 + 0.0300805i
\(26\) −21.9743 38.0606i −0.165750 0.287088i
\(27\) −22.5014 + 138.480i −0.160385 + 0.987055i
\(28\) 127.851 61.0949i 0.862911 0.412352i
\(29\) 114.686 198.643i 0.734370 1.27197i −0.220629 0.975358i \(-0.570811\pi\)
0.954999 0.296609i \(-0.0958557\pi\)
\(30\) 30.0648 15.2683i 0.182968 0.0929199i
\(31\) 91.6652 0.531083 0.265541 0.964099i \(-0.414449\pi\)
0.265541 + 0.964099i \(0.414449\pi\)
\(32\) −106.903 −0.590559
\(33\) 12.7678 237.562i 0.0673512 1.25316i
\(34\) 23.9075 41.4091i 0.120591 0.208871i
\(35\) 15.8150 202.819i 0.0763777 0.979506i
\(36\) −83.5186 188.941i −0.386660 0.874725i
\(37\) 5.76196 + 9.98001i 0.0256016 + 0.0443434i 0.878542 0.477664i \(-0.158517\pi\)
−0.852941 + 0.522008i \(0.825183\pi\)
\(38\) −4.76137 8.24693i −0.0203262 0.0352060i
\(39\) −20.7452 + 385.992i −0.0851767 + 1.58482i
\(40\) −50.7823 + 87.9575i −0.200735 + 0.347683i
\(41\) 56.3705 + 97.6366i 0.214722 + 0.371909i 0.953187 0.302383i \(-0.0977822\pi\)
−0.738465 + 0.674292i \(0.764449\pi\)
\(42\) 56.3617 + 7.45526i 0.207067 + 0.0273898i
\(43\) −248.834 + 430.992i −0.882483 + 1.52851i −0.0339110 + 0.999425i \(0.510796\pi\)
−0.848572 + 0.529080i \(0.822537\pi\)
\(44\) 175.149 + 303.367i 0.600108 + 1.03942i
\(45\) −294.872 31.7877i −0.976820 0.105303i
\(46\) −39.6174 + 68.6194i −0.126984 + 0.219943i
\(47\) −82.9547 −0.257451 −0.128725 0.991680i \(-0.541089\pi\)
−0.128725 + 0.991680i \(0.541089\pi\)
\(48\) 242.720 + 158.085i 0.729868 + 0.475367i
\(49\) 215.472 266.872i 0.628198 0.778053i
\(50\) −1.28250 2.22135i −0.00362745 0.00628292i
\(51\) −374.973 + 190.429i −1.02954 + 0.522851i
\(52\) −284.584 492.913i −0.758935 1.31451i
\(53\) −247.056 + 427.914i −0.640298 + 1.10903i 0.345068 + 0.938578i \(0.387856\pi\)
−0.985366 + 0.170451i \(0.945477\pi\)
\(54\) 13.2933 81.8105i 0.0334997 0.206167i
\(55\) 502.921 1.23298
\(56\) −154.507 + 73.8332i −0.368695 + 0.176185i
\(57\) −4.49505 + 83.6364i −0.0104453 + 0.194349i
\(58\) −67.7539 + 117.353i −0.153388 + 0.265676i
\(59\) 259.001 0.571509 0.285754 0.958303i \(-0.407756\pi\)
0.285754 + 0.958303i \(0.407756\pi\)
\(60\) 389.362 197.736i 0.837773 0.425460i
\(61\) 161.653 0.339304 0.169652 0.985504i \(-0.445736\pi\)
0.169652 + 0.985504i \(0.445736\pi\)
\(62\) −54.1535 −0.110927
\(63\) −379.606 325.494i −0.759141 0.650926i
\(64\) −382.808 −0.747672
\(65\) −817.149 −1.55930
\(66\) −7.54290 + 140.346i −0.0140677 + 0.261748i
\(67\) −293.870 −0.535850 −0.267925 0.963440i \(-0.586338\pi\)
−0.267925 + 0.963440i \(0.586338\pi\)
\(68\) 309.621 536.279i 0.552163 0.956374i
\(69\) 621.372 315.562i 1.08412 0.550568i
\(70\) −9.34309 + 119.821i −0.0159530 + 0.204590i
\(71\) 249.873 0.417668 0.208834 0.977951i \(-0.433033\pi\)
0.208834 + 0.977951i \(0.433033\pi\)
\(72\) 100.932 + 228.334i 0.165208 + 0.373743i
\(73\) −398.968 + 691.033i −0.639666 + 1.10793i 0.345839 + 0.938294i \(0.387594\pi\)
−0.985506 + 0.169641i \(0.945739\pi\)
\(74\) −3.40402 5.89594i −0.00534743 0.00926202i
\(75\) −1.21076 + 22.5278i −0.00186409 + 0.0346839i
\(76\) −61.6633 106.804i −0.0930693 0.161201i
\(77\) 699.161 + 479.777i 1.03476 + 0.710074i
\(78\) 12.2557 228.034i 0.0177909 0.331023i
\(79\) 740.823 1.05505 0.527526 0.849539i \(-0.323120\pi\)
0.527526 + 0.849539i \(0.323120\pi\)
\(80\) −306.167 + 530.296i −0.427881 + 0.741112i
\(81\) −490.679 + 539.143i −0.673085 + 0.739565i
\(82\) −33.3023 57.6813i −0.0448491 0.0776809i
\(83\) 215.540 373.327i 0.285044 0.493710i −0.687576 0.726112i \(-0.741325\pi\)
0.972620 + 0.232402i \(0.0746586\pi\)
\(84\) 729.928 + 96.5513i 0.948115 + 0.125412i
\(85\) −444.520 769.932i −0.567235 0.982480i
\(86\) 147.005 254.619i 0.184325 0.319260i
\(87\) 1062.67 539.675i 1.30955 0.665048i
\(88\) −211.668 366.619i −0.256407 0.444111i
\(89\) −224.168 388.270i −0.266986 0.462433i 0.701096 0.713067i \(-0.252694\pi\)
−0.968082 + 0.250634i \(0.919361\pi\)
\(90\) 174.203 + 18.7794i 0.204029 + 0.0219947i
\(91\) −1136.00 779.545i −1.30863 0.898006i
\(92\) −513.076 + 888.674i −0.581433 + 1.00707i
\(93\) 399.118 + 259.948i 0.445017 + 0.289842i
\(94\) 49.0075 0.0537738
\(95\) −177.059 −0.191220
\(96\) −465.463 303.159i −0.494855 0.322302i
\(97\) 125.941 218.136i 0.131828 0.228333i −0.792553 0.609803i \(-0.791249\pi\)
0.924381 + 0.381470i \(0.124582\pi\)
\(98\) −127.295 + 157.661i −0.131212 + 0.162512i
\(99\) 729.278 998.156i 0.740356 1.01332i
\(100\) −16.6093 28.7682i −0.0166093 0.0287682i
\(101\) 60.6905 + 105.119i 0.0597914 + 0.103562i 0.894372 0.447325i \(-0.147623\pi\)
−0.834580 + 0.550886i \(0.814290\pi\)
\(102\) 221.525 112.501i 0.215041 0.109208i
\(103\) 284.408 492.608i 0.272073 0.471244i −0.697320 0.716760i \(-0.745624\pi\)
0.969392 + 0.245516i \(0.0789575\pi\)
\(104\) 343.919 + 595.685i 0.324270 + 0.561651i
\(105\) 644.022 838.243i 0.598573 0.779087i
\(106\) 145.955 252.801i 0.133739 0.231643i
\(107\) 198.198 + 343.288i 0.179070 + 0.310158i 0.941562 0.336839i \(-0.109358\pi\)
−0.762492 + 0.646997i \(0.776025\pi\)
\(108\) 172.158 1059.51i 0.153388 0.943992i
\(109\) 523.948 907.504i 0.460414 0.797460i −0.538568 0.842582i \(-0.681034\pi\)
0.998981 + 0.0451222i \(0.0143677\pi\)
\(110\) −297.113 −0.257533
\(111\) −3.21363 + 59.7938i −0.00274797 + 0.0511295i
\(112\) −931.526 + 445.141i −0.785901 + 0.375552i
\(113\) 601.187 + 1041.29i 0.500486 + 0.866867i 1.00000 0.000560846i \(0.000178523\pi\)
−0.499514 + 0.866306i \(0.666488\pi\)
\(114\) 2.65556 49.4103i 0.00218172 0.0405938i
\(115\) 736.619 + 1275.86i 0.597305 + 1.03456i
\(116\) −877.464 + 1519.81i −0.702332 + 1.21647i
\(117\) −1184.94 + 1621.81i −0.936302 + 1.28151i
\(118\) −153.011 −0.119371
\(119\) 116.529 1494.42i 0.0897661 1.15121i
\(120\) −470.543 + 238.964i −0.357954 + 0.181786i
\(121\) −382.622 + 662.721i −0.287470 + 0.497912i
\(122\) −95.5004 −0.0708705
\(123\) −31.4396 + 584.976i −0.0230473 + 0.428825i
\(124\) −701.329 −0.507913
\(125\) −1420.75 −1.01660
\(126\) 224.262 + 192.294i 0.158562 + 0.135959i
\(127\) 823.034 0.575059 0.287529 0.957772i \(-0.407166\pi\)
0.287529 + 0.957772i \(0.407166\pi\)
\(128\) 1081.37 0.746726
\(129\) −2305.67 + 1170.92i −1.57366 + 0.799180i
\(130\) 482.751 0.325693
\(131\) 937.162 1623.21i 0.625040 1.08260i −0.363494 0.931597i \(-0.618416\pi\)
0.988533 0.151004i \(-0.0482505\pi\)
\(132\) −97.6863 + 1817.58i −0.0644129 + 1.19849i
\(133\) −246.148 168.911i −0.160479 0.110124i
\(134\) 173.611 0.111923
\(135\) −1193.75 974.615i −0.761050 0.621344i
\(136\) −374.177 + 648.093i −0.235922 + 0.408629i
\(137\) −1014.75 1757.60i −0.632819 1.09607i −0.986973 0.160887i \(-0.948564\pi\)
0.354154 0.935187i \(-0.384769\pi\)
\(138\) −367.091 + 186.426i −0.226441 + 0.114997i
\(139\) 1063.25 + 1841.61i 0.648805 + 1.12376i 0.983409 + 0.181405i \(0.0580644\pi\)
−0.334603 + 0.942359i \(0.608602\pi\)
\(140\) −121.000 + 1551.77i −0.0730455 + 0.936773i
\(141\) −361.191 235.246i −0.215729 0.140506i
\(142\) −147.618 −0.0872385
\(143\) 1703.00 2949.67i 0.995885 1.72492i
\(144\) 608.521 + 1376.63i 0.352153 + 0.796661i
\(145\) 1259.77 + 2181.98i 0.721504 + 1.24968i
\(146\) 235.700 408.245i 0.133607 0.231415i
\(147\) 1694.99 550.941i 0.951023 0.309121i
\(148\) −44.0847 76.3569i −0.0244847 0.0424088i
\(149\) −12.1172 + 20.9876i −0.00666227 + 0.0115394i −0.869337 0.494219i \(-0.835454\pi\)
0.862675 + 0.505759i \(0.168787\pi\)
\(150\) 0.715288 13.3089i 0.000389354 0.00724444i
\(151\) −924.344 1601.01i −0.498159 0.862837i 0.501838 0.864961i \(-0.332657\pi\)
−0.999998 + 0.00212404i \(0.999324\pi\)
\(152\) 74.5201 + 129.073i 0.0397656 + 0.0688761i
\(153\) −2172.69 234.220i −1.14805 0.123762i
\(154\) −413.047 283.440i −0.216131 0.148313i
\(155\) −503.446 + 871.995i −0.260889 + 0.451873i
\(156\) 158.721 2953.22i 0.0814607 1.51568i
\(157\) 1444.39 0.734233 0.367117 0.930175i \(-0.380345\pi\)
0.367117 + 0.930175i \(0.380345\pi\)
\(158\) −437.660 −0.220369
\(159\) −2289.20 + 1162.56i −1.14179 + 0.579856i
\(160\) 587.134 1016.95i 0.290106 0.502479i
\(161\) −193.101 + 2476.42i −0.0945247 + 1.21223i
\(162\) 289.881 318.512i 0.140588 0.154473i
\(163\) 174.373 + 302.024i 0.0837913 + 0.145131i 0.904876 0.425676i \(-0.139964\pi\)
−0.821084 + 0.570807i \(0.806630\pi\)
\(164\) −431.290 747.016i −0.205354 0.355684i
\(165\) 2189.76 + 1426.20i 1.03317 + 0.672907i
\(166\) −127.336 + 220.552i −0.0595372 + 0.103121i
\(167\) −1799.80 3117.34i −0.833968 1.44447i −0.894868 0.446331i \(-0.852731\pi\)
0.0609003 0.998144i \(-0.480603\pi\)
\(168\) −882.117 116.682i −0.405100 0.0535847i
\(169\) −1668.54 + 2889.99i −0.759462 + 1.31543i
\(170\) 262.611 + 454.856i 0.118479 + 0.205211i
\(171\) −256.751 + 351.412i −0.114820 + 0.157153i
\(172\) 1903.82 3297.52i 0.843983 1.46182i
\(173\) 3241.14 1.42439 0.712194 0.701982i \(-0.247701\pi\)
0.712194 + 0.701982i \(0.247701\pi\)
\(174\) −627.800 + 318.826i −0.273525 + 0.138909i
\(175\) −66.3010 45.4970i −0.0286393 0.0196529i
\(176\) −1276.15 2210.35i −0.546552 0.946656i
\(177\) 1127.71 + 734.484i 0.478892 + 0.311905i
\(178\) 132.433 + 229.380i 0.0557655 + 0.0965886i
\(179\) 580.762 1005.91i 0.242504 0.420029i −0.718923 0.695090i \(-0.755365\pi\)
0.961427 + 0.275061i \(0.0886980\pi\)
\(180\) 2256.06 + 243.207i 0.934204 + 0.100709i
\(181\) −1135.58 −0.466336 −0.233168 0.972437i \(-0.574909\pi\)
−0.233168 + 0.972437i \(0.574909\pi\)
\(182\) 671.120 + 460.536i 0.273334 + 0.187567i
\(183\) 703.850 + 458.421i 0.284317 + 0.185177i
\(184\) 620.052 1073.96i 0.248428 0.430291i
\(185\) −126.584 −0.0503062
\(186\) −235.789 153.571i −0.0929509 0.0605394i
\(187\) 3705.65 1.44911
\(188\) 634.685 0.246219
\(189\) −729.789 2493.73i −0.280870 0.959746i
\(190\) 104.602 0.0399402
\(191\) −1811.52 −0.686267 −0.343133 0.939287i \(-0.611488\pi\)
−0.343133 + 0.939287i \(0.611488\pi\)
\(192\) −1666.78 1085.58i −0.626507 0.408047i
\(193\) 2667.83 0.994997 0.497498 0.867465i \(-0.334252\pi\)
0.497498 + 0.867465i \(0.334252\pi\)
\(194\) −74.4025 + 128.869i −0.0275350 + 0.0476920i
\(195\) −3557.93 2317.30i −1.30661 0.851001i
\(196\) −1648.57 + 2041.84i −0.600792 + 0.744109i
\(197\) 3360.97 1.21553 0.607765 0.794117i \(-0.292066\pi\)
0.607765 + 0.794117i \(0.292066\pi\)
\(198\) −430.839 + 589.685i −0.154638 + 0.211652i
\(199\) 690.248 1195.54i 0.245881 0.425879i −0.716498 0.697589i \(-0.754256\pi\)
0.962379 + 0.271711i \(0.0875894\pi\)
\(200\) 20.0723 + 34.7663i 0.00709664 + 0.0122917i
\(201\) −1279.54 833.368i −0.449012 0.292444i
\(202\) −35.8544 62.1016i −0.0124886 0.0216310i
\(203\) −330.242 + 4235.19i −0.114179 + 1.46430i
\(204\) 2868.92 1456.97i 0.984629 0.500040i
\(205\) −1238.40 −0.421920
\(206\) −168.021 + 291.021i −0.0568280 + 0.0984290i
\(207\) 3600.39 + 388.128i 1.20891 + 0.130323i
\(208\) 2073.49 + 3591.39i 0.691205 + 1.19720i
\(209\) 369.004 639.133i 0.122127 0.211530i
\(210\) −380.472 + 495.213i −0.125024 + 0.162728i
\(211\) −1002.20 1735.86i −0.326987 0.566359i 0.654925 0.755694i \(-0.272700\pi\)
−0.981913 + 0.189335i \(0.939367\pi\)
\(212\) 1890.22 3273.97i 0.612364 1.06065i
\(213\) 1087.97 + 708.598i 0.349982 + 0.227945i
\(214\) −117.090 202.806i −0.0374024 0.0647829i
\(215\) −2733.30 4734.22i −0.867021 1.50172i
\(216\) −208.052 + 1280.41i −0.0655379 + 0.403339i
\(217\) −1531.76 + 731.969i −0.479182 + 0.228983i
\(218\) −309.535 + 536.131i −0.0961668 + 0.166566i
\(219\) −3696.79 + 1877.40i −1.14067 + 0.579284i
\(220\) −3847.84 −1.17919
\(221\) −6020.96 −1.83264
\(222\) 1.89853 35.3247i 0.000573969 0.0106794i
\(223\) 702.905 1217.47i 0.211076 0.365595i −0.740975 0.671532i \(-0.765636\pi\)
0.952052 + 0.305937i \(0.0989698\pi\)
\(224\) 1786.38 853.643i 0.532847 0.254627i
\(225\) −69.1570 + 94.6545i −0.0204910 + 0.0280458i
\(226\) −355.166 615.165i −0.104537 0.181063i
\(227\) 2490.43 + 4313.55i 0.728174 + 1.26123i 0.957654 + 0.287921i \(0.0929640\pi\)
−0.229480 + 0.973313i \(0.573703\pi\)
\(228\) 34.3916 639.901i 0.00998964 0.185870i
\(229\) −2129.76 + 3688.85i −0.614579 + 1.06448i 0.375879 + 0.926669i \(0.377341\pi\)
−0.990458 + 0.137813i \(0.955993\pi\)
\(230\) −435.176 753.747i −0.124759 0.216090i
\(231\) 1683.63 + 4071.70i 0.479545 + 1.15973i
\(232\) 1060.41 1836.69i 0.300085 0.519762i
\(233\) −928.994 1609.06i −0.261203 0.452418i 0.705359 0.708851i \(-0.250786\pi\)
−0.966562 + 0.256433i \(0.917453\pi\)
\(234\) 700.030 958.124i 0.195566 0.267669i
\(235\) 455.606 789.133i 0.126470 0.219052i
\(236\) −1981.61 −0.546576
\(237\) 3225.60 + 2100.85i 0.884074 + 0.575802i
\(238\) −68.8422 + 882.868i −0.0187495 + 0.240453i
\(239\) 1822.76 + 3157.12i 0.493325 + 0.854464i 0.999970 0.00769024i \(-0.00244790\pi\)
−0.506645 + 0.862155i \(0.669115\pi\)
\(240\) −2836.91 + 1440.71i −0.763007 + 0.387491i
\(241\) −328.286 568.609i −0.0877460 0.151981i 0.818812 0.574062i \(-0.194633\pi\)
−0.906558 + 0.422081i \(0.861300\pi\)
\(242\) 226.044 391.519i 0.0600439 0.103999i
\(243\) −3665.38 + 955.985i −0.967630 + 0.252372i
\(244\) −1236.80 −0.324501
\(245\) 1355.29 + 3515.47i 0.353413 + 0.916715i
\(246\) 18.5737 345.589i 0.00481390 0.0895689i
\(247\) −599.559 + 1038.47i −0.154450 + 0.267514i
\(248\) 847.556 0.217016
\(249\) 1997.17 1014.26i 0.508296 0.258136i
\(250\) 839.343 0.212339
\(251\) −4591.82 −1.15471 −0.577357 0.816492i \(-0.695916\pi\)
−0.577357 + 0.816492i \(0.695916\pi\)
\(252\) 2904.36 + 2490.35i 0.726022 + 0.622528i
\(253\) −6140.66 −1.52593
\(254\) −486.228 −0.120113
\(255\) 247.923 4612.93i 0.0608845 1.13284i
\(256\) 2423.62 0.591703
\(257\) −3439.43 + 5957.27i −0.834809 + 1.44593i 0.0593769 + 0.998236i \(0.481089\pi\)
−0.894186 + 0.447696i \(0.852245\pi\)
\(258\) 1362.13 691.753i 0.328692 0.166925i
\(259\) −175.977 120.759i −0.0422189 0.0289714i
\(260\) 6251.99 1.49128
\(261\) 6157.39 + 663.778i 1.46028 + 0.157421i
\(262\) −553.651 + 958.953i −0.130552 + 0.226123i
\(263\) 2282.82 + 3953.96i 0.535227 + 0.927041i 0.999152 + 0.0411665i \(0.0131074\pi\)
−0.463925 + 0.885875i \(0.653559\pi\)
\(264\) 118.054 2196.55i 0.0275216 0.512076i
\(265\) −2713.78 4700.41i −0.629080 1.08960i
\(266\) 145.418 + 99.7885i 0.0335193 + 0.0230016i
\(267\) 125.025 2326.26i 0.0286571 0.533202i
\(268\) 2248.40 0.512473
\(269\) −231.632 + 401.198i −0.0525013 + 0.0909349i −0.891082 0.453843i \(-0.850053\pi\)
0.838580 + 0.544778i \(0.183386\pi\)
\(270\) 705.238 + 575.778i 0.158961 + 0.129780i
\(271\) 180.602 + 312.811i 0.0404825 + 0.0701178i 0.885557 0.464531i \(-0.153777\pi\)
−0.845074 + 0.534649i \(0.820444\pi\)
\(272\) −2255.91 + 3907.36i −0.502885 + 0.871023i
\(273\) −2735.58 6615.71i −0.606464 1.46667i
\(274\) 599.490 + 1038.35i 0.132177 + 0.228938i
\(275\) 99.3928 172.153i 0.0217950 0.0377500i
\(276\) −4754.11 + 2414.36i −1.03682 + 0.526548i
\(277\) −2496.19 4323.53i −0.541450 0.937819i −0.998821 0.0485429i \(-0.984542\pi\)
0.457371 0.889276i \(-0.348791\pi\)
\(278\) −628.143 1087.98i −0.135516 0.234721i
\(279\) 1000.62 + 2263.67i 0.214716 + 0.485743i
\(280\) 146.229 1875.31i 0.0312101 0.400254i
\(281\) −795.782 + 1378.34i −0.168941 + 0.292614i −0.938048 0.346506i \(-0.887368\pi\)
0.769107 + 0.639120i \(0.220701\pi\)
\(282\) 213.383 + 138.977i 0.0450594 + 0.0293475i
\(283\) 1105.12 0.232130 0.116065 0.993242i \(-0.462972\pi\)
0.116065 + 0.993242i \(0.462972\pi\)
\(284\) −1911.77 −0.399446
\(285\) −770.930 502.111i −0.160231 0.104360i
\(286\) −1006.09 + 1742.59i −0.208011 + 0.360286i
\(287\) −1721.62 1181.41i −0.354091 0.242984i
\(288\) −1166.96 2639.95i −0.238762 0.540142i
\(289\) −818.837 1418.27i −0.166667 0.288676i
\(290\) −744.239 1289.06i −0.150701 0.261021i
\(291\) 1166.95 592.633i 0.235079 0.119384i
\(292\) 3052.50 5287.08i 0.611760 1.05960i
\(293\) 748.863 + 1297.07i 0.149314 + 0.258620i 0.930974 0.365085i \(-0.118960\pi\)
−0.781660 + 0.623705i \(0.785627\pi\)
\(294\) −1001.36 + 325.482i −0.198641 + 0.0645663i
\(295\) −1422.49 + 2463.83i −0.280748 + 0.486269i
\(296\) 53.2763 + 92.2773i 0.0104616 + 0.0181200i
\(297\) 6005.95 2277.94i 1.17340 0.445048i
\(298\) 7.15853 12.3989i 0.00139155 0.00241024i
\(299\) 9977.39 1.92979
\(300\) 9.26353 172.360i 0.00178277 0.0331707i
\(301\) 716.521 9189.03i 0.137208 1.75962i
\(302\) 546.079 + 945.837i 0.104051 + 0.180221i
\(303\) −33.8490 + 629.805i −0.00641773 + 0.119410i
\(304\) 449.282 + 778.179i 0.0847635 + 0.146815i
\(305\) −887.834 + 1537.77i −0.166679 + 0.288697i
\(306\) 1283.57 + 138.371i 0.239794 + 0.0258502i
\(307\) 8007.68 1.48867 0.744336 0.667805i \(-0.232766\pi\)
0.744336 + 0.667805i \(0.232766\pi\)
\(308\) −5349.27 3670.77i −0.989619 0.679096i
\(309\) 2635.29 1338.32i 0.485167 0.246390i
\(310\) 297.423 515.152i 0.0544920 0.0943829i
\(311\) 6037.53 1.10083 0.550413 0.834893i \(-0.314470\pi\)
0.550413 + 0.834893i \(0.314470\pi\)
\(312\) −191.814 + 3568.96i −0.0348056 + 0.647604i
\(313\) −3322.20 −0.599942 −0.299971 0.953948i \(-0.596977\pi\)
−0.299971 + 0.953948i \(0.596977\pi\)
\(314\) −853.308 −0.153360
\(315\) 5181.25 1823.44i 0.926762 0.326156i
\(316\) −5668.03 −1.00902
\(317\) 78.8533 0.0139711 0.00698556 0.999976i \(-0.497776\pi\)
0.00698556 + 0.999976i \(0.497776\pi\)
\(318\) 1352.40 686.812i 0.238487 0.121115i
\(319\) −10501.8 −1.84322
\(320\) 2102.47 3641.58i 0.367286 0.636159i
\(321\) −110.541 + 2056.76i −0.0192206 + 0.357624i
\(322\) 114.079 1463.01i 0.0197434 0.253200i
\(323\) −1304.62 −0.224739
\(324\) 3754.18 4124.97i 0.643721 0.707300i
\(325\) −161.494 + 279.716i −0.0275633 + 0.0477411i
\(326\) −103.015 178.428i −0.0175015 0.0303135i
\(327\) 4854.85 2465.52i 0.821020 0.416952i
\(328\) 521.214 + 902.769i 0.0877415 + 0.151973i
\(329\) 1386.20 662.413i 0.232291 0.111003i
\(330\) −1293.65 842.564i −0.215798 0.140550i
\(331\) 2556.99 0.424607 0.212303 0.977204i \(-0.431903\pi\)
0.212303 + 0.977204i \(0.431903\pi\)
\(332\) −1649.10 + 2856.32i −0.272608 + 0.472171i
\(333\) −183.558 + 251.234i −0.0302069 + 0.0413439i
\(334\) 1063.28 + 1841.65i 0.174191 + 0.301708i
\(335\) 1614.00 2795.53i 0.263231 0.455929i
\(336\) −5318.29 703.478i −0.863501 0.114220i
\(337\) 3802.94 + 6586.88i 0.614716 + 1.06472i 0.990434 + 0.137985i \(0.0440627\pi\)
−0.375718 + 0.926734i \(0.622604\pi\)
\(338\) 985.730 1707.33i 0.158629 0.274754i
\(339\) −335.301 + 6238.71i −0.0537199 + 0.999529i
\(340\) 3401.02 + 5890.74i 0.542488 + 0.939618i
\(341\) −2098.44 3634.60i −0.333245 0.577198i
\(342\) 151.682 207.606i 0.0239825 0.0328246i
\(343\) −1469.57 + 6180.13i −0.231340 + 0.972873i
\(344\) −2300.77 + 3985.05i −0.360608 + 0.624591i
\(345\) −410.836 + 7644.14i −0.0641120 + 1.19289i
\(346\) −1914.78 −0.297513
\(347\) −9164.94 −1.41787 −0.708933 0.705275i \(-0.750823\pi\)
−0.708933 + 0.705275i \(0.750823\pi\)
\(348\) −8130.49 + 4129.04i −1.25241 + 0.636034i
\(349\) 2641.65 4575.47i 0.405170 0.701775i −0.589171 0.808008i \(-0.700546\pi\)
0.994341 + 0.106233i \(0.0338790\pi\)
\(350\) 39.1690 + 26.8785i 0.00598191 + 0.00410490i
\(351\) −9758.50 + 3701.21i −1.48396 + 0.562837i
\(352\) 2447.26 + 4238.77i 0.370566 + 0.641839i
\(353\) −2493.99 4319.71i −0.376038 0.651317i 0.614444 0.788961i \(-0.289380\pi\)
−0.990482 + 0.137644i \(0.956047\pi\)
\(354\) −666.223 433.914i −0.100026 0.0651477i
\(355\) −1372.36 + 2376.99i −0.205175 + 0.355374i
\(356\) 1715.10 + 2970.65i 0.255338 + 0.442259i
\(357\) 4745.32 6176.39i 0.703498 0.915656i
\(358\) −343.099 + 594.266i −0.0506519 + 0.0877316i
\(359\) −149.472 258.894i −0.0219745 0.0380610i 0.854829 0.518910i \(-0.173662\pi\)
−0.876804 + 0.480849i \(0.840329\pi\)
\(360\) −2726.45 293.916i −0.399157 0.0430298i
\(361\) 3299.59 5715.05i 0.481060 0.833220i
\(362\) 670.870 0.0974037
\(363\) −3545.34 + 1800.49i −0.512622 + 0.260334i
\(364\) 8691.52 + 5964.29i 1.25154 + 0.858829i
\(365\) −4382.44 7590.62i −0.628459 1.08852i
\(366\) −415.817 270.824i −0.0593855 0.0386781i
\(367\) −1434.58 2484.77i −0.204045 0.353417i 0.745783 0.666189i \(-0.232076\pi\)
−0.949828 + 0.312772i \(0.898742\pi\)
\(368\) 3738.30 6474.92i 0.529544 0.917197i
\(369\) −1795.79 + 2457.87i −0.253347 + 0.346753i
\(370\) 74.7827 0.0105075
\(371\) 711.403 9123.40i 0.0995532 1.27672i
\(372\) −3053.65 1988.86i −0.425602 0.277197i
\(373\) 130.354 225.780i 0.0180951 0.0313417i −0.856836 0.515589i \(-0.827573\pi\)
0.874931 + 0.484247i \(0.160906\pi\)
\(374\) −2189.20 −0.302676
\(375\) −6186.06 4029.01i −0.851857 0.554819i
\(376\) −767.016 −0.105202
\(377\) 17063.4 2.33105
\(378\) 431.141 + 1473.23i 0.0586653 + 0.200463i
\(379\) 8599.02 1.16544 0.582720 0.812673i \(-0.301988\pi\)
0.582720 + 0.812673i \(0.301988\pi\)
\(380\) 1354.68 0.182877
\(381\) 3583.56 + 2333.99i 0.481867 + 0.313842i
\(382\) 1070.20 0.143341
\(383\) −620.289 + 1074.37i −0.0827553 + 0.143336i −0.904433 0.426617i \(-0.859705\pi\)
0.821677 + 0.569953i \(0.193039\pi\)
\(384\) 4708.40 + 3066.60i 0.625714 + 0.407531i
\(385\) −8403.98 + 4015.94i −1.11248 + 0.531614i
\(386\) −1576.08 −0.207825
\(387\) −13359.6 1440.19i −1.75480 0.189170i
\(388\) −963.570 + 1668.95i −0.126077 + 0.218372i
\(389\) 3957.75 + 6855.02i 0.515851 + 0.893479i 0.999831 + 0.0184004i \(0.00585735\pi\)
−0.483980 + 0.875079i \(0.660809\pi\)
\(390\) 2101.94 + 1369.00i 0.272912 + 0.177749i
\(391\) 5427.59 + 9400.87i 0.702008 + 1.21591i
\(392\) 1992.30 2467.56i 0.256700 0.317935i
\(393\) 8683.64 4409.96i 1.11458 0.566038i
\(394\) −1985.58 −0.253888
\(395\) −4068.77 + 7047.32i −0.518284 + 0.897693i
\(396\) −5579.70 + 7636.88i −0.708057 + 0.969110i
\(397\) −7325.46 12688.1i −0.926081 1.60402i −0.789813 0.613347i \(-0.789823\pi\)
−0.136268 0.990672i \(-0.543511\pi\)
\(398\) −407.781 + 706.297i −0.0513573 + 0.0889535i
\(399\) −592.742 1433.49i −0.0743715 0.179860i
\(400\) 121.016 + 209.606i 0.0151270 + 0.0262008i
\(401\) −6990.17 + 12107.3i −0.870505 + 1.50776i −0.00902952 + 0.999959i \(0.502874\pi\)
−0.861475 + 0.507799i \(0.830459\pi\)
\(402\) 755.917 + 492.333i 0.0937854 + 0.0610829i
\(403\) 3409.55 + 5905.51i 0.421444 + 0.729962i
\(404\) −464.342 804.264i −0.0571828 0.0990436i
\(405\) −2433.84 7628.84i −0.298614 0.936000i
\(406\) 195.098 2502.04i 0.0238487 0.305848i
\(407\) 263.810 456.933i 0.0321292 0.0556494i
\(408\) −3467.08 + 1760.75i −0.420701 + 0.213652i
\(409\) 473.945 0.0572984 0.0286492 0.999590i \(-0.490879\pi\)
0.0286492 + 0.999590i \(0.490879\pi\)
\(410\) 731.615 0.0881266
\(411\) 565.960 10530.4i 0.0679239 1.26381i
\(412\) −2176.00 + 3768.94i −0.260203 + 0.450685i
\(413\) −4327.99 + 2068.18i −0.515658 + 0.246413i
\(414\) −2127.02 229.296i −0.252505 0.0272205i
\(415\) 2367.59 + 4100.79i 0.280049 + 0.485060i
\(416\) −3976.32 6887.18i −0.468642 0.811712i
\(417\) −593.010 + 11033.7i −0.0696398 + 1.29574i
\(418\) −217.998 + 377.584i −0.0255087 + 0.0441823i
\(419\) −4736.18 8203.31i −0.552214 0.956462i −0.998114 0.0613799i \(-0.980450\pi\)
0.445901 0.895082i \(-0.352883\pi\)
\(420\) −4927.40 + 6413.39i −0.572459 + 0.745098i
\(421\) 6733.40 11662.6i 0.779491 1.35012i −0.152744 0.988266i \(-0.548811\pi\)
0.932235 0.361853i \(-0.117856\pi\)
\(422\) 592.075 + 1025.50i 0.0682980 + 0.118296i
\(423\) −905.538 2048.56i −0.104087 0.235471i
\(424\) −2284.34 + 3956.58i −0.261644 + 0.453181i
\(425\) −351.404 −0.0401073
\(426\) −642.743 418.622i −0.0731009 0.0476110i
\(427\) −2701.28 + 1290.84i −0.306145 + 0.146295i
\(428\) −1516.41 2626.49i −0.171258 0.296627i
\(429\) 15779.8 8013.71i 1.77589 0.901877i
\(430\) 1614.77 + 2796.86i 0.181095 + 0.313666i
\(431\) −4108.46 + 7116.07i −0.459159 + 0.795287i −0.998917 0.0465334i \(-0.985183\pi\)
0.539757 + 0.841821i \(0.318516\pi\)
\(432\) −1254.35 + 7719.63i −0.139699 + 0.859747i
\(433\) −834.867 −0.0926585 −0.0463293 0.998926i \(-0.514752\pi\)
−0.0463293 + 0.998926i \(0.514752\pi\)
\(434\) 904.924 432.429i 0.100087 0.0478277i
\(435\) −702.612 + 13073.0i −0.0774429 + 1.44093i
\(436\) −4008.72 + 6943.30i −0.440327 + 0.762669i
\(437\) 2161.89 0.236653
\(438\) 2183.97 1109.12i 0.238252 0.120995i
\(439\) 3890.80 0.423001 0.211501 0.977378i \(-0.432165\pi\)
0.211501 + 0.977378i \(0.432165\pi\)
\(440\) 4650.11 0.503830
\(441\) 8942.50 + 2407.87i 0.965608 + 0.260001i
\(442\) 3557.03 0.382784
\(443\) 2250.71 0.241387 0.120694 0.992690i \(-0.461488\pi\)
0.120694 + 0.992690i \(0.461488\pi\)
\(444\) 24.5874 457.481i 0.00262808 0.0488989i
\(445\) 4924.72 0.524616
\(446\) −415.259 + 719.250i −0.0440876 + 0.0763620i
\(447\) −112.277 + 57.0193i −0.0118803 + 0.00603338i
\(448\) 6396.86 3056.81i 0.674606 0.322368i
\(449\) 2354.72 0.247497 0.123749 0.992314i \(-0.460508\pi\)
0.123749 + 0.992314i \(0.460508\pi\)
\(450\) 40.8562 55.9195i 0.00427996 0.00585794i
\(451\) 2580.91 4470.27i 0.269469 0.466733i
\(452\) −4599.67 7966.86i −0.478651 0.829048i
\(453\) 515.536 9592.22i 0.0534702 0.994883i
\(454\) −1471.28 2548.34i −0.152094 0.263435i
\(455\) 13654.8 6525.13i 1.40692 0.672313i
\(456\) −41.5622 + 773.319i −0.00426826 + 0.0794167i
\(457\) −10900.7 −1.11578 −0.557891 0.829914i \(-0.688389\pi\)
−0.557891 + 0.829914i \(0.688389\pi\)
\(458\) 1258.21 2179.28i 0.128367 0.222339i
\(459\) −8795.86 7181.21i −0.894457 0.730262i
\(460\) −5635.86 9761.60i −0.571246 0.989428i
\(461\) −844.836 + 1463.30i −0.0853534 + 0.147836i −0.905542 0.424257i \(-0.860535\pi\)
0.820188 + 0.572094i \(0.193869\pi\)
\(462\) −994.648 2405.46i −0.100163 0.242234i
\(463\) −4861.63 8420.59i −0.487989 0.845222i 0.511915 0.859036i \(-0.328936\pi\)
−0.999905 + 0.0138136i \(0.995603\pi\)
\(464\) 6393.25 11073.4i 0.639653 1.10791i
\(465\) −4664.88 + 2369.04i −0.465223 + 0.236262i
\(466\) 548.826 + 950.595i 0.0545577 + 0.0944967i
\(467\) −3287.11 5693.44i −0.325716 0.564156i 0.655941 0.754812i \(-0.272272\pi\)
−0.981657 + 0.190656i \(0.938939\pi\)
\(468\) 9065.93 12408.4i 0.895454 1.22560i
\(469\) 4910.68 2346.62i 0.483484 0.231038i
\(470\) −269.161 + 466.200i −0.0264159 + 0.0457536i
\(471\) 6288.98 + 4096.05i 0.615246 + 0.400713i
\(472\) 2394.77 0.233535
\(473\) 22785.6 2.21497
\(474\) −1905.61 1241.13i −0.184657 0.120268i
\(475\) −34.9924 + 60.6086i −0.00338013 + 0.00585455i
\(476\) −891.559 + 11433.8i −0.0858499 + 1.10098i
\(477\) −13264.2 1429.90i −1.27322 0.137255i
\(478\) −1076.84 1865.15i −0.103041 0.178472i
\(479\) −8914.20 15439.8i −0.850313 1.47279i −0.880926 0.473255i \(-0.843079\pi\)
0.0306124 0.999531i \(-0.490254\pi\)
\(480\) 5440.32 2762.85i 0.517324 0.262721i
\(481\) −428.640 + 742.427i −0.0406327 + 0.0703779i
\(482\) 193.943 + 335.920i 0.0183275 + 0.0317442i
\(483\) −7863.51 + 10235.0i −0.740791 + 0.964196i
\(484\) 2927.44 5070.47i 0.274928 0.476190i
\(485\) 1383.39 + 2396.10i 0.129518 + 0.224333i
\(486\) 2165.41 564.772i 0.202109 0.0527131i
\(487\) −10447.7 + 18095.9i −0.972133 + 1.68378i −0.283045 + 0.959107i \(0.591345\pi\)
−0.689088 + 0.724677i \(0.741989\pi\)
\(488\) 1494.68 0.138649
\(489\) −97.2536 + 1809.53i −0.00899378 + 0.167341i
\(490\) −800.669 2076.85i −0.0738174 0.191475i
\(491\) −3811.67 6602.01i −0.350343 0.606811i 0.635967 0.771717i \(-0.280602\pi\)
−0.986309 + 0.164905i \(0.947268\pi\)
\(492\) 240.544 4475.64i 0.0220418 0.410117i
\(493\) 9282.29 + 16077.4i 0.847978 + 1.46874i
\(494\) 354.205 613.500i 0.0322600 0.0558759i
\(495\) 5489.91 + 12419.6i 0.498491 + 1.12772i
\(496\) 5109.92 0.462585
\(497\) −4175.46 + 1995.29i −0.376851 + 0.180083i
\(498\) −1179.88 + 599.198i −0.106168 + 0.0539171i
\(499\) 6230.96 10792.3i 0.558990 0.968199i −0.438591 0.898687i \(-0.644522\pi\)
0.997581 0.0695126i \(-0.0221444\pi\)
\(500\) 10870.1 0.972254
\(501\) 1003.80 18677.1i 0.0895143 1.66553i
\(502\) 2712.73 0.241186
\(503\) −4132.51 −0.366321 −0.183161 0.983083i \(-0.558633\pi\)
−0.183161 + 0.983083i \(0.558633\pi\)
\(504\) −3509.92 3009.58i −0.310207 0.265987i
\(505\) −1333.30 −0.117488
\(506\) 3627.75 0.318722
\(507\) −15460.5 + 7851.56i −1.35429 + 0.687771i
\(508\) −6297.02 −0.549971
\(509\) −9825.63 + 17018.5i −0.855625 + 1.48199i 0.0204383 + 0.999791i \(0.493494\pi\)
−0.876064 + 0.482196i \(0.839839\pi\)
\(510\) −146.467 + 2725.20i −0.0127170 + 0.236616i
\(511\) 1148.84 14733.3i 0.0994549 1.27546i
\(512\) −10082.8 −0.870315
\(513\) −2114.46 + 801.974i −0.181980 + 0.0690215i
\(514\) 2031.93 3519.41i 0.174367 0.302012i
\(515\) 3124.06 + 5411.04i 0.267306 + 0.462988i
\(516\) 17640.6 8958.73i 1.50501 0.764314i
\(517\) 1899.03 + 3289.22i 0.161546 + 0.279806i
\(518\) 103.963 + 71.3413i 0.00881828 + 0.00605127i
\(519\) 14112.2 + 9191.34i 1.19356 + 0.777370i
\(520\) −7555.53 −0.637176
\(521\) −10838.1 + 18772.1i −0.911370 + 1.57854i −0.0992403 + 0.995064i \(0.531641\pi\)
−0.812130 + 0.583476i \(0.801692\pi\)
\(522\) −3637.63 392.143i −0.305009 0.0328805i
\(523\) 8815.06 + 15268.1i 0.737009 + 1.27654i 0.953836 + 0.300327i \(0.0970957\pi\)
−0.216828 + 0.976210i \(0.569571\pi\)
\(524\) −7170.21 + 12419.2i −0.597771 + 1.03537i
\(525\) −159.658 386.116i −0.0132725 0.0320981i
\(526\) −1348.63 2335.90i −0.111793 0.193631i
\(527\) −3709.52 + 6425.08i −0.306621 + 0.531083i
\(528\) 711.747 13243.0i 0.0586644 1.09153i
\(529\) −2910.62 5041.34i −0.239222 0.414345i
\(530\) 1603.23 + 2776.88i 0.131396 + 0.227585i
\(531\) 2827.27 + 6396.00i 0.231060 + 0.522717i
\(532\) 1883.27 + 1292.34i 0.153478 + 0.105319i
\(533\) −4193.48 + 7263.32i −0.340788 + 0.590261i
\(534\) −73.8619 + 1374.30i −0.00598561 + 0.111370i
\(535\) −4354.18 −0.351865
\(536\) −2717.19 −0.218964
\(537\) 5381.28 2732.86i 0.432438 0.219612i
\(538\) 136.842 237.018i 0.0109660 0.0189936i
\(539\) −15514.4 2434.29i −1.23980 0.194531i
\(540\) 9133.37 + 7456.76i 0.727848 + 0.594237i
\(541\) −6631.61 11486.3i −0.527015 0.912817i −0.999504 0.0314803i \(-0.989978\pi\)
0.472489 0.881336i \(-0.343355\pi\)
\(542\) −106.695 184.801i −0.00845560 0.0146455i
\(543\) −4944.39 3220.31i −0.390763 0.254506i
\(544\) 4326.15 7493.11i 0.340960 0.590560i
\(545\) 5755.28 + 9968.44i 0.452347 + 0.783488i
\(546\) 1616.11 + 3908.40i 0.126672 + 0.306344i
\(547\) −8982.32 + 15557.8i −0.702114 + 1.21610i 0.265609 + 0.964081i \(0.414427\pi\)
−0.967723 + 0.252016i \(0.918906\pi\)
\(548\) 7763.86 + 13447.4i 0.605211 + 1.04826i
\(549\) 1764.61 + 3992.01i 0.137180 + 0.310336i
\(550\) −58.7188 + 101.704i −0.00455232 + 0.00788485i
\(551\) 3697.27 0.285861
\(552\) 5745.34 2917.75i 0.443003 0.224978i
\(553\) −12379.4 + 5915.65i −0.951946 + 0.454899i
\(554\) 1474.69 + 2554.23i 0.113093 + 0.195883i
\(555\) −551.157 358.972i −0.0421537 0.0274550i
\(556\) −8134.93 14090.1i −0.620500 1.07474i
\(557\) 11038.9 19119.9i 0.839733 1.45446i −0.0503851 0.998730i \(-0.516045\pi\)
0.890118 0.455730i \(-0.150622\pi\)
\(558\) −591.143 1337.32i −0.0448478 0.101457i
\(559\) −37022.1 −2.80120
\(560\) 881.613 11306.3i 0.0665267 0.853172i
\(561\) 16134.7 + 10508.6i 1.21427 + 0.790862i
\(562\) 470.128 814.286i 0.0352868 0.0611185i
\(563\) 21720.6 1.62596 0.812981 0.582291i \(-0.197843\pi\)
0.812981 + 0.582291i \(0.197843\pi\)
\(564\) 2763.47 + 1799.86i 0.206318 + 0.134376i
\(565\) −13207.4 −0.983434
\(566\) −652.880 −0.0484851
\(567\) 3894.24 12927.5i 0.288435 0.957499i
\(568\) 2310.37 0.170671
\(569\) −19408.4 −1.42995 −0.714974 0.699151i \(-0.753562\pi\)
−0.714974 + 0.699151i \(0.753562\pi\)
\(570\) 455.446 + 296.634i 0.0334676 + 0.0217976i
\(571\) 2394.79 0.175514 0.0877572 0.996142i \(-0.472030\pi\)
0.0877572 + 0.996142i \(0.472030\pi\)
\(572\) −13029.6 + 22567.9i −0.952438 + 1.64967i
\(573\) −7887.50 5137.17i −0.575053 0.374535i
\(574\) 1017.09 + 697.948i 0.0739592 + 0.0507522i
\(575\) 582.315 0.0422334
\(576\) −4178.76 9453.42i −0.302283 0.683841i
\(577\) 6386.16 11061.2i 0.460762 0.798062i −0.538237 0.842793i \(-0.680910\pi\)
0.998999 + 0.0447307i \(0.0142430\pi\)
\(578\) 483.748 + 837.877i 0.0348119 + 0.0602960i
\(579\) 11615.9 + 7565.52i 0.833751 + 0.543026i
\(580\) −9638.47 16694.3i −0.690027 1.19516i
\(581\) −620.652 + 7959.56i −0.0443184 + 0.568362i
\(582\) −689.406 + 350.113i −0.0491010 + 0.0249358i
\(583\) 22622.8 1.60711
\(584\) −3688.94 + 6389.43i −0.261386 + 0.452734i
\(585\) −8920.04 20179.4i −0.630424 1.42618i
\(586\) −442.409 766.276i −0.0311873 0.0540180i
\(587\) 1742.96 3018.90i 0.122555 0.212271i −0.798220 0.602366i \(-0.794225\pi\)
0.920774 + 0.390095i \(0.127558\pi\)
\(588\) −12968.3 + 4215.24i −0.909533 + 0.295635i
\(589\) 738.778 + 1279.60i 0.0516822 + 0.0895163i
\(590\) 840.372 1455.57i 0.0586399 0.101567i
\(591\) 14634.0 + 9531.17i 1.01855 + 0.663384i
\(592\) 321.203 + 556.340i 0.0222996 + 0.0386241i
\(593\) −3891.11 6739.60i −0.269458 0.466715i 0.699264 0.714864i \(-0.253511\pi\)
−0.968722 + 0.248148i \(0.920178\pi\)
\(594\) −3548.16 + 1345.75i −0.245089 + 0.0929575i
\(595\) 13576.2 + 9316.23i 0.935410 + 0.641896i
\(596\) 92.7084 160.576i 0.00637162 0.0110360i
\(597\) 6395.76 3248.07i 0.438461 0.222671i
\(598\) −5894.39 −0.403076
\(599\) 15292.9 1.04316 0.521580 0.853202i \(-0.325343\pi\)
0.521580 + 0.853202i \(0.325343\pi\)
\(600\) −11.1950 + 208.297i −0.000761721 + 0.0141728i
\(601\) −9098.78 + 15759.5i −0.617549 + 1.06963i 0.372383 + 0.928079i \(0.378541\pi\)
−0.989932 + 0.141547i \(0.954792\pi\)
\(602\) −423.302 + 5428.65i −0.0286587 + 0.367534i
\(603\) −3207.90 7257.11i −0.216643 0.490103i
\(604\) 7072.14 + 12249.3i 0.476426 + 0.825195i
\(605\) −4202.90 7279.63i −0.282433 0.489189i
\(606\) 19.9971 372.073i 0.00134048 0.0249413i
\(607\) −811.823 + 1406.12i −0.0542848 + 0.0940240i −0.891891 0.452251i \(-0.850621\pi\)
0.837606 + 0.546275i \(0.183955\pi\)
\(608\) −861.585 1492.31i −0.0574702 0.0995413i
\(609\) −13448.2 + 17503.8i −0.894825 + 1.16468i
\(610\) 524.510 908.478i 0.0348144 0.0603003i
\(611\) −3085.56 5344.34i −0.204301 0.353861i
\(612\) 16623.2 + 1792.01i 1.09796 + 0.118362i
\(613\) −9187.65 + 15913.5i −0.605360 + 1.04851i 0.386634 + 0.922233i \(0.373638\pi\)
−0.991994 + 0.126281i \(0.959696\pi\)
\(614\) −4730.74 −0.310940
\(615\) −5392.09 3511.90i −0.353545 0.230266i
\(616\) 6464.59 + 4436.12i 0.422834 + 0.290157i
\(617\) −13260.3 22967.5i −0.865218 1.49860i −0.866831 0.498602i \(-0.833847\pi\)
0.00161310 0.999999i \(-0.499487\pi\)
\(618\) −1556.86 + 790.648i −0.101337 + 0.0514636i
\(619\) −11146.7 19306.7i −0.723788 1.25364i −0.959471 0.281808i \(-0.909066\pi\)
0.235683 0.971830i \(-0.424267\pi\)
\(620\) 3851.86 6671.62i 0.249507 0.432159i
\(621\) 14575.7 + 11900.1i 0.941873 + 0.768974i
\(622\) −3566.82 −0.229930
\(623\) 6846.35 + 4698.10i 0.440278 + 0.302127i
\(624\) −1156.45 + 21517.3i −0.0741908 + 1.38042i
\(625\) 7531.72 13045.3i 0.482030 0.834900i
\(626\) 1962.67 0.125310
\(627\) 3419.15 1736.40i 0.217779 0.110599i
\(628\) −11051.0 −0.702201
\(629\) −932.703 −0.0591245
\(630\) −3060.95 + 1077.24i −0.193573 + 0.0681243i
\(631\) 22214.9 1.40152 0.700762 0.713396i \(-0.252844\pi\)
0.700762 + 0.713396i \(0.252844\pi\)
\(632\) 6849.81 0.431124
\(633\) 558.959 10400.2i 0.0350973 0.653032i
\(634\) −46.5846 −0.00291815
\(635\) −4520.29 + 7829.37i −0.282492 + 0.489290i
\(636\) 17514.6 8894.75i 1.09198 0.554559i
\(637\) 25207.8 + 3955.24i 1.56793 + 0.246016i
\(638\) 6204.19 0.384994
\(639\) 2727.62 + 6170.59i 0.168863 + 0.382010i
\(640\) −5939.16 + 10286.9i −0.366822 + 0.635354i
\(641\) 1880.28 + 3256.74i 0.115860 + 0.200676i 0.918123 0.396295i \(-0.129704\pi\)
−0.802263 + 0.596971i \(0.796371\pi\)
\(642\) 65.3049 1215.08i 0.00401461 0.0746970i
\(643\) −722.264 1251.00i −0.0442975 0.0767255i 0.843027 0.537872i \(-0.180772\pi\)
−0.887324 + 0.461146i \(0.847438\pi\)
\(644\) 1477.41 18947.1i 0.0904009 1.15935i
\(645\) 1524.45 28364.4i 0.0930622 1.73154i
\(646\) 770.734 0.0469414
\(647\) −5590.74 + 9683.45i −0.339714 + 0.588401i −0.984379 0.176064i \(-0.943663\pi\)
0.644665 + 0.764465i \(0.276997\pi\)
\(648\) −4536.92 + 4985.03i −0.275042 + 0.302207i
\(649\) −5929.14 10269.6i −0.358612 0.621134i
\(650\) 95.4066 165.249i 0.00575716 0.00997170i
\(651\) −8745.15 1156.77i −0.526497 0.0696424i
\(652\) −1334.13 2310.78i −0.0801357 0.138799i
\(653\) 10918.7 18911.8i 0.654339 1.13335i −0.327720 0.944775i \(-0.606280\pi\)
0.982059 0.188574i \(-0.0603864\pi\)
\(654\) −2868.12 + 1456.57i −0.171487 + 0.0870890i
\(655\) 10294.2 + 17830.1i 0.614089 + 1.06363i
\(656\) 3142.40 + 5442.80i 0.187028 + 0.323941i
\(657\) −21420.2 2309.13i −1.27196 0.137120i
\(658\) −818.933 + 391.337i −0.0485188 + 0.0231853i
\(659\) 4540.44 7864.27i 0.268392 0.464868i −0.700055 0.714089i \(-0.746841\pi\)
0.968447 + 0.249221i \(0.0801745\pi\)
\(660\) −16753.8 10911.8i −0.988092 0.643550i
\(661\) 25532.2 1.50240 0.751200 0.660075i \(-0.229475\pi\)
0.751200 + 0.660075i \(0.229475\pi\)
\(662\) −1510.61 −0.0886879
\(663\) −26215.7 17074.4i −1.53565 1.00018i
\(664\) 1992.93 3451.86i 0.116477 0.201744i
\(665\) 2958.72 1413.86i 0.172533 0.0824467i
\(666\) 108.441 148.423i 0.00630934 0.00863552i
\(667\) −15381.8 26642.0i −0.892930 1.54660i
\(668\) 13770.2 + 23850.7i 0.797584 + 1.38146i
\(669\) 6513.05 3307.63i 0.376396 0.191152i
\(670\) −953.512 + 1651.53i −0.0549812 + 0.0952302i
\(671\) −3700.62 6409.66i −0.212907 0.368766i
\(672\) 10198.8 + 1349.05i 0.585460 + 0.0774418i
\(673\) 7674.86 13293.3i 0.439590 0.761393i −0.558068 0.829795i \(-0.688457\pi\)
0.997658 + 0.0684030i \(0.0217904\pi\)
\(674\) −2246.68 3891.37i −0.128396 0.222388i
\(675\) −569.540 + 216.016i −0.0324765 + 0.0123177i
\(676\) 12766.0 22111.3i 0.726329 1.25804i
\(677\) 25477.1 1.44633 0.723165 0.690676i \(-0.242687\pi\)
0.723165 + 0.690676i \(0.242687\pi\)
\(678\) 198.087 3685.67i 0.0112205 0.208772i
\(679\) −362.648 + 4650.79i −0.0204966 + 0.262858i
\(680\) −4110.13 7118.95i −0.231788 0.401469i
\(681\) −1388.99 + 25844.0i −0.0781589 + 1.45425i
\(682\) 1239.70 + 2147.23i 0.0696051 + 0.120560i
\(683\) 16833.0 29155.7i 0.943043 1.63340i 0.183420 0.983035i \(-0.441283\pi\)
0.759623 0.650363i \(-0.225383\pi\)
\(684\) 1964.40 2688.65i 0.109811 0.150297i
\(685\) 22293.0 1.24346
\(686\) 868.188 3651.06i 0.0483200 0.203204i
\(687\) −19734.1 + 10021.9i −1.09593 + 0.556565i
\(688\) −13871.3 + 24025.9i −0.768663 + 1.33136i
\(689\) −36757.7 −2.03245
\(690\) 242.711 4515.96i 0.0133911 0.249159i
\(691\) −4113.85 −0.226481 −0.113240 0.993568i \(-0.536123\pi\)
−0.113240 + 0.993568i \(0.536123\pi\)
\(692\) −24797.9 −1.36225
\(693\) −4215.99 + 22503.0i −0.231100 + 1.23350i
\(694\) 5414.42 0.296151
\(695\) −23358.5 −1.27488
\(696\) 9825.69 4989.94i 0.535118 0.271758i
\(697\) −9124.84 −0.495879
\(698\) −1560.62 + 2703.07i −0.0846280 + 0.146580i
\(699\) 518.129 9640.47i 0.0280364 0.521654i
\(700\) 507.268 + 348.097i 0.0273899 + 0.0187955i
\(701\) 33029.9 1.77963 0.889817 0.456317i \(-0.150832\pi\)
0.889817 + 0.456317i \(0.150832\pi\)
\(702\) 5765.07 2186.58i 0.309955 0.117560i
\(703\) −92.8774 + 160.868i −0.00498284 + 0.00863054i
\(704\) 8763.39 + 15178.6i 0.469152 + 0.812594i
\(705\) 4221.60 2143.92i 0.225524 0.114532i
\(706\) 1473.38 + 2551.98i 0.0785432 + 0.136041i
\(707\) −1853.56 1271.95i −0.0986001 0.0676613i
\(708\) −8628.09 5619.52i −0.457999 0.298297i
\(709\) −88.1425 −0.00466891 −0.00233446 0.999997i \(-0.500743\pi\)
−0.00233446 + 0.999997i \(0.500743\pi\)
\(710\) 810.754 1404.27i 0.0428550 0.0742271i
\(711\) 8086.87 + 18294.6i 0.426556 + 0.964979i
\(712\) −2072.70 3590.03i −0.109098 0.188963i
\(713\) 6147.08 10647.1i 0.322875 0.559236i
\(714\) −2803.41 + 3648.85i −0.146940 + 0.191253i
\(715\) 18706.5 + 32400.6i 0.978437 + 1.69470i
\(716\) −4443.40 + 7696.19i −0.231924 + 0.401704i
\(717\) −1016.61 + 18915.4i −0.0529513 + 0.985229i
\(718\) 88.3045 + 152.948i 0.00458982 + 0.00794981i
\(719\) 7868.86 + 13629.3i 0.408149 + 0.706934i 0.994682 0.102991i \(-0.0328411\pi\)
−0.586534 + 0.809925i \(0.699508\pi\)
\(720\) −16437.8 1772.02i −0.850832 0.0917213i
\(721\) −818.957 + 10502.7i −0.0423017 + 0.542499i
\(722\) −1949.31 + 3376.31i −0.100479 + 0.174035i
\(723\) 183.096 3406.74i 0.00941826 0.175239i
\(724\) 8688.28 0.445991
\(725\) 995.878 0.0510151
\(726\) 2094.50 1063.68i 0.107072 0.0543760i
\(727\) 4457.88 7721.27i 0.227419 0.393901i −0.729624 0.683849i \(-0.760305\pi\)
0.957042 + 0.289948i \(0.0936380\pi\)
\(728\) −10503.7 7207.84i −0.534743 0.366951i
\(729\) −18670.4 6231.98i −0.948553 0.316617i
\(730\) 2589.04 + 4484.35i 0.131267 + 0.227360i
\(731\) −20139.6 34882.9i −1.01900 1.76497i
\(732\) −5385.14 3507.37i −0.271913 0.177099i
\(733\) 3237.36 5607.27i 0.163130 0.282550i −0.772859 0.634577i \(-0.781174\pi\)
0.935990 + 0.352027i \(0.114508\pi\)
\(734\) 847.516 + 1467.94i 0.0426191 + 0.0738184i
\(735\) −4068.27 + 19150.0i −0.204164 + 0.961032i
\(736\) −7168.91 + 12416.9i −0.359035 + 0.621866i
\(737\) 6727.39 + 11652.2i 0.336237 + 0.582379i
\(738\) 1060.91 1452.05i 0.0529166 0.0724264i
\(739\) −4530.08 + 7846.32i −0.225496 + 0.390571i −0.956468 0.291837i \(-0.905734\pi\)
0.730972 + 0.682407i \(0.239067\pi\)
\(740\) 968.493 0.0481115
\(741\) −5555.45 + 2821.32i −0.275418 + 0.139870i
\(742\) −420.279 + 5389.88i −0.0207937 + 0.266669i
\(743\) 1098.47 + 1902.60i 0.0542381 + 0.0939431i 0.891870 0.452292i \(-0.149394\pi\)
−0.837632 + 0.546236i \(0.816060\pi\)
\(744\) 3690.33 + 2403.53i 0.181847 + 0.118438i
\(745\) −133.101 230.537i −0.00654555 0.0113372i
\(746\) −77.0099 + 133.385i −0.00377953 + 0.00654635i
\(747\) 11572.1 + 1247.50i 0.566803 + 0.0611024i
\(748\) −28351.8 −1.38589
\(749\) −6053.19 4153.81i −0.295299 0.202640i
\(750\) 3654.57 + 2380.24i 0.177928 + 0.115885i
\(751\) −1635.21 + 2832.27i −0.0794536 + 0.137618i −0.903014 0.429610i \(-0.858651\pi\)
0.823561 + 0.567228i \(0.191984\pi\)
\(752\) −4624.35 −0.224245
\(753\) −19993.2 13021.7i −0.967585 0.630193i
\(754\) −10080.6 −0.486888
\(755\) 20306.8 0.978863
\(756\) 5583.60 + 19079.5i 0.268616 + 0.917875i
\(757\) 3374.70 0.162029 0.0810143 0.996713i \(-0.474184\pi\)
0.0810143 + 0.996713i \(0.474184\pi\)
\(758\) −5080.09 −0.243426
\(759\) −26737.0 17413.9i −1.27864 0.832787i
\(760\) −1637.13 −0.0781378
\(761\) −7704.62 + 13344.8i −0.367007 + 0.635674i −0.989096 0.147272i \(-0.952951\pi\)
0.622089 + 0.782946i \(0.286284\pi\)
\(762\) −2117.08 1378.86i −0.100648 0.0655524i
\(763\) −1508.72 + 19348.6i −0.0715848 + 0.918041i
\(764\) 13859.9 0.656327
\(765\) 14161.0 19382.0i 0.669271 0.916024i
\(766\) 366.451 634.712i 0.0172851 0.0299388i
\(767\) 9633.70 + 16686.1i 0.453524 + 0.785527i
\(768\) 10552.6 + 6872.98i 0.495814 + 0.322926i
\(769\) 9472.98 + 16407.7i 0.444219 + 0.769410i 0.997997 0.0632543i \(-0.0201479\pi\)
−0.553779 + 0.832664i \(0.686815\pi\)
\(770\) 4964.86 2372.52i 0.232365 0.111038i
\(771\) −31869.4 + 16184.8i −1.48865 + 0.756006i
\(772\) −20411.5 −0.951588
\(773\) 13493.2 23370.8i 0.627833 1.08744i −0.360153