Properties

Label 43.4.e.a.4.3
Level $43$
Weight $4$
Character 43.4
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 43.4
Dual form 43.4.e.a.11.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.29664 + 2.87990i) q^{2} +(-5.14704 - 6.45419i) q^{3} +(-1.23909 - 5.42880i) q^{4} +(11.0752 + 5.33352i) q^{5} +30.4083 q^{6} +28.5576 q^{7} +(-8.06984 - 3.88623i) q^{8} +(-9.15641 + 40.1169i) q^{9} +O(q^{10})\) \(q+(-2.29664 + 2.87990i) q^{2} +(-5.14704 - 6.45419i) q^{3} +(-1.23909 - 5.42880i) q^{4} +(11.0752 + 5.33352i) q^{5} +30.4083 q^{6} +28.5576 q^{7} +(-8.06984 - 3.88623i) q^{8} +(-9.15641 + 40.1169i) q^{9} +(-40.7957 + 19.6462i) q^{10} +(12.4283 - 54.4519i) q^{11} +(-28.6608 + 35.9395i) q^{12} +(63.9214 + 30.7829i) q^{13} +(-65.5865 + 82.2429i) q^{14} +(-22.5808 - 98.9330i) q^{15} +(69.8612 - 33.6434i) q^{16} +(-18.8533 + 9.07927i) q^{17} +(-94.5036 - 118.504i) q^{18} +(-5.65942 - 24.7955i) q^{19} +(15.2315 - 66.7335i) q^{20} +(-146.987 - 184.316i) q^{21} +(128.273 + 160.849i) q^{22} +(-23.0933 + 101.178i) q^{23} +(16.4533 + 72.0868i) q^{24} +(16.2767 + 20.4103i) q^{25} +(-235.456 + 113.390i) q^{26} +(105.233 - 50.6773i) q^{27} +(-35.3853 - 155.033i) q^{28} +(58.6604 - 73.5578i) q^{29} +(336.777 + 162.183i) q^{30} +(10.0380 - 12.5872i) q^{31} +(-47.6121 + 208.602i) q^{32} +(-415.412 + 200.052i) q^{33} +(17.1519 - 75.1475i) q^{34} +(316.280 + 152.312i) q^{35} +229.132 q^{36} -23.8504 q^{37} +(84.4063 + 40.6480i) q^{38} +(-130.327 - 571.001i) q^{39} +(-68.6475 - 86.0813i) q^{40} +(-47.1291 + 59.0980i) q^{41} +868.388 q^{42} +(279.591 - 36.5531i) q^{43} -311.008 q^{44} +(-315.373 + 395.465i) q^{45} +(-238.347 - 298.877i) q^{46} +(1.23751 + 5.42187i) q^{47} +(-576.719 - 277.733i) q^{48} +472.534 q^{49} -96.1613 q^{50} +(155.638 + 74.9514i) q^{51} +(87.9100 - 385.159i) q^{52} +(-560.592 + 269.967i) q^{53} +(-95.7361 + 419.447i) q^{54} +(428.066 - 536.777i) q^{55} +(-230.455 - 110.981i) q^{56} +(-130.906 + 164.151i) q^{57} +(77.1172 + 337.872i) q^{58} +(-170.772 + 82.2393i) q^{59} +(-509.108 + 245.173i) q^{60} +(-231.514 - 290.310i) q^{61} +(13.1963 + 57.8169i) q^{62} +(-261.485 + 1145.64i) q^{63} +(-104.642 - 131.217i) q^{64} +(543.759 + 681.852i) q^{65} +(377.924 - 1655.79i) q^{66} +(138.151 + 605.277i) q^{67} +(72.6504 + 91.1008i) q^{68} +(771.886 - 371.721i) q^{69} +(-1165.03 + 561.047i) q^{70} +(-143.403 - 628.291i) q^{71} +(229.794 - 288.153i) q^{72} +(-440.479 - 212.124i) q^{73} +(54.7758 - 68.6867i) q^{74} +(47.9551 - 210.105i) q^{75} +(-127.597 + 61.4477i) q^{76} +(354.922 - 1555.01i) q^{77} +(1943.74 + 936.057i) q^{78} -1110.49 q^{79} +953.162 q^{80} +(132.269 + 63.6975i) q^{81} +(-61.9577 - 271.454i) q^{82} +(-219.403 - 275.123i) q^{83} +(-818.483 + 1026.35i) q^{84} -257.228 q^{85} +(-536.851 + 889.143i) q^{86} -776.684 q^{87} +(-311.907 + 391.119i) q^{88} +(-267.881 - 335.912i) q^{89} +(-414.601 - 1816.49i) q^{90} +(1825.44 + 879.084i) q^{91} +577.891 q^{92} -132.906 q^{93} +(-18.4566 - 8.88821i) q^{94} +(69.5684 - 304.799i) q^{95} +(1591.42 - 766.386i) q^{96} +(-263.327 + 1153.71i) q^{97} +(-1085.24 + 1360.85i) q^{98} +(2070.64 + 997.168i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.29664 + 2.87990i −0.811987 + 1.01820i 0.187369 + 0.982290i \(0.440004\pi\)
−0.999355 + 0.0359092i \(0.988567\pi\)
\(3\) −5.14704 6.45419i −0.990549 1.24211i −0.970197 0.242316i \(-0.922093\pi\)
−0.0203511 0.999793i \(-0.506478\pi\)
\(4\) −1.23909 5.42880i −0.154886 0.678600i
\(5\) 11.0752 + 5.33352i 0.990593 + 0.477044i 0.857736 0.514091i \(-0.171871\pi\)
0.132857 + 0.991135i \(0.457585\pi\)
\(6\) 30.4083 2.06903
\(7\) 28.5576 1.54196 0.770981 0.636858i \(-0.219766\pi\)
0.770981 + 0.636858i \(0.219766\pi\)
\(8\) −8.06984 3.88623i −0.356640 0.171749i
\(9\) −9.15641 + 40.1169i −0.339126 + 1.48581i
\(10\) −40.7957 + 19.6462i −1.29007 + 0.621267i
\(11\) 12.4283 54.4519i 0.340661 1.49253i −0.457022 0.889456i \(-0.651084\pi\)
0.797683 0.603078i \(-0.206059\pi\)
\(12\) −28.6608 + 35.9395i −0.689472 + 0.864571i
\(13\) 63.9214 + 30.7829i 1.36374 + 0.656742i 0.965467 0.260526i \(-0.0838959\pi\)
0.398271 + 0.917268i \(0.369610\pi\)
\(14\) −65.5865 + 82.2429i −1.25205 + 1.57002i
\(15\) −22.5808 98.9330i −0.388689 1.70296i
\(16\) 69.8612 33.6434i 1.09158 0.525678i
\(17\) −18.8533 + 9.07927i −0.268976 + 0.129532i −0.563511 0.826109i \(-0.690550\pi\)
0.294534 + 0.955641i \(0.404835\pi\)
\(18\) −94.5036 118.504i −1.23748 1.55176i
\(19\) −5.65942 24.7955i −0.0683347 0.299394i 0.929199 0.369579i \(-0.120498\pi\)
−0.997534 + 0.0701852i \(0.977641\pi\)
\(20\) 15.2315 66.7335i 0.170293 0.746103i
\(21\) −146.987 184.316i −1.52739 1.91529i
\(22\) 128.273 + 160.849i 1.24308 + 1.55878i
\(23\) −23.0933 + 101.178i −0.209360 + 0.917267i 0.755634 + 0.654995i \(0.227329\pi\)
−0.964994 + 0.262273i \(0.915528\pi\)
\(24\) 16.4533 + 72.0868i 0.139939 + 0.613111i
\(25\) 16.2767 + 20.4103i 0.130213 + 0.163282i
\(26\) −235.456 + 113.390i −1.77603 + 0.855291i
\(27\) 105.233 50.6773i 0.750074 0.361217i
\(28\) −35.3853 155.033i −0.238828 1.04638i
\(29\) 58.6604 73.5578i 0.375620 0.471012i −0.557708 0.830037i \(-0.688319\pi\)
0.933328 + 0.359025i \(0.116891\pi\)
\(30\) 336.777 + 162.183i 2.04956 + 0.987017i
\(31\) 10.0380 12.5872i 0.0581573 0.0729270i −0.751902 0.659275i \(-0.770863\pi\)
0.810059 + 0.586348i \(0.199435\pi\)
\(32\) −47.6121 + 208.602i −0.263022 + 1.15237i
\(33\) −415.412 + 200.052i −2.19133 + 1.05529i
\(34\) 17.1519 75.1475i 0.0865157 0.379050i
\(35\) 316.280 + 152.312i 1.52746 + 0.735585i
\(36\) 229.132 1.06080
\(37\) −23.8504 −0.105972 −0.0529862 0.998595i \(-0.516874\pi\)
−0.0529862 + 0.998595i \(0.516874\pi\)
\(38\) 84.4063 + 40.6480i 0.360329 + 0.173526i
\(39\) −130.327 571.001i −0.535104 2.34445i
\(40\) −68.6475 86.0813i −0.271353 0.340266i
\(41\) −47.1291 + 59.0980i −0.179520 + 0.225111i −0.863447 0.504439i \(-0.831699\pi\)
0.683927 + 0.729550i \(0.260271\pi\)
\(42\) 868.388 3.19036
\(43\) 279.591 36.5531i 0.991562 0.129635i
\(44\) −311.008 −1.06560
\(45\) −315.373 + 395.465i −1.04473 + 1.31005i
\(46\) −238.347 298.877i −0.763963 0.957979i
\(47\) 1.23751 + 5.42187i 0.00384061 + 0.0168268i 0.976812 0.214099i \(-0.0686816\pi\)
−0.972971 + 0.230926i \(0.925824\pi\)
\(48\) −576.719 277.733i −1.73421 0.835153i
\(49\) 472.534 1.37765
\(50\) −96.1613 −0.271985
\(51\) 155.638 + 74.9514i 0.427327 + 0.205790i
\(52\) 87.9100 385.159i 0.234441 1.02715i
\(53\) −560.592 + 269.967i −1.45289 + 0.699676i −0.983095 0.183098i \(-0.941387\pi\)
−0.469797 + 0.882774i \(0.655673\pi\)
\(54\) −95.7361 + 419.447i −0.241260 + 1.05703i
\(55\) 428.066 536.777i 1.04946 1.31598i
\(56\) −230.455 110.981i −0.549925 0.264830i
\(57\) −130.906 + 164.151i −0.304191 + 0.381443i
\(58\) 77.1172 + 337.872i 0.174586 + 0.764911i
\(59\) −170.772 + 82.2393i −0.376823 + 0.181469i −0.612702 0.790314i \(-0.709917\pi\)
0.235879 + 0.971782i \(0.424203\pi\)
\(60\) −509.108 + 245.173i −1.09543 + 0.527529i
\(61\) −231.514 290.310i −0.485941 0.609350i 0.477053 0.878875i \(-0.341705\pi\)
−0.962994 + 0.269524i \(0.913134\pi\)
\(62\) 13.1963 + 57.8169i 0.0270312 + 0.118431i
\(63\) −261.485 + 1145.64i −0.522920 + 2.29106i
\(64\) −104.642 131.217i −0.204378 0.256282i
\(65\) 543.759 + 681.852i 1.03761 + 1.30113i
\(66\) 377.924 1655.79i 0.704836 3.08809i
\(67\) 138.151 + 605.277i 0.251907 + 1.10368i 0.929669 + 0.368396i \(0.120093\pi\)
−0.677762 + 0.735282i \(0.737050\pi\)
\(68\) 72.6504 + 91.1008i 0.129561 + 0.162465i
\(69\) 771.886 371.721i 1.34673 0.648549i
\(70\) −1165.03 + 561.047i −1.98925 + 0.957971i
\(71\) −143.403 628.291i −0.239702 1.05020i −0.941284 0.337615i \(-0.890380\pi\)
0.701582 0.712589i \(-0.252477\pi\)
\(72\) 229.794 288.153i 0.376132 0.471655i
\(73\) −440.479 212.124i −0.706222 0.340099i 0.0460610 0.998939i \(-0.485333\pi\)
−0.752283 + 0.658840i \(0.771047\pi\)
\(74\) 54.7758 68.6867i 0.0860481 0.107901i
\(75\) 47.9551 210.105i 0.0738317 0.323478i
\(76\) −127.597 + 61.4477i −0.192585 + 0.0927438i
\(77\) 354.922 1555.01i 0.525287 2.30143i
\(78\) 1943.74 + 936.057i 2.82161 + 1.35882i
\(79\) −1110.49 −1.58151 −0.790755 0.612132i \(-0.790312\pi\)
−0.790755 + 0.612132i \(0.790312\pi\)
\(80\) 953.162 1.33208
\(81\) 132.269 + 63.6975i 0.181439 + 0.0873765i
\(82\) −61.9577 271.454i −0.0834400 0.365575i
\(83\) −219.403 275.123i −0.290152 0.363840i 0.615296 0.788296i \(-0.289037\pi\)
−0.905448 + 0.424457i \(0.860465\pi\)
\(84\) −818.483 + 1026.35i −1.06314 + 1.33314i
\(85\) −257.228 −0.328239
\(86\) −536.851 + 889.143i −0.673141 + 1.11487i
\(87\) −776.684 −0.957118
\(88\) −311.907 + 391.119i −0.377834 + 0.473789i
\(89\) −267.881 335.912i −0.319049 0.400075i 0.596283 0.802774i \(-0.296643\pi\)
−0.915332 + 0.402699i \(0.868072\pi\)
\(90\) −414.601 1816.49i −0.485586 2.12749i
\(91\) 1825.44 + 879.084i 2.10283 + 1.01267i
\(92\) 577.891 0.654884
\(93\) −132.906 −0.148191
\(94\) −18.4566 8.88821i −0.0202516 0.00975265i
\(95\) 69.5684 304.799i 0.0751323 0.329176i
\(96\) 1591.42 766.386i 1.69191 0.814781i
\(97\) −263.327 + 1153.71i −0.275637 + 1.20765i 0.627611 + 0.778527i \(0.284033\pi\)
−0.903248 + 0.429119i \(0.858824\pi\)
\(98\) −1085.24 + 1360.85i −1.11863 + 1.40272i
\(99\) 2070.64 + 997.168i 2.10209 + 1.01231i
\(100\) 90.6351 113.653i 0.0906351 0.113653i
\(101\) 442.947 + 1940.68i 0.436385 + 1.91193i 0.409555 + 0.912286i \(0.365684\pi\)
0.0268300 + 0.999640i \(0.491459\pi\)
\(102\) −573.298 + 276.086i −0.556519 + 0.268005i
\(103\) 372.002 179.147i 0.355868 0.171377i −0.247404 0.968912i \(-0.579578\pi\)
0.603272 + 0.797535i \(0.293863\pi\)
\(104\) −396.206 496.826i −0.373569 0.468441i
\(105\) −644.853 2825.28i −0.599345 2.62590i
\(106\) 510.003 2234.47i 0.467320 2.04746i
\(107\) 29.8400 + 37.4182i 0.0269602 + 0.0338070i 0.795129 0.606441i \(-0.207403\pi\)
−0.768169 + 0.640248i \(0.778832\pi\)
\(108\) −405.509 508.492i −0.361298 0.453053i
\(109\) −152.405 + 667.732i −0.133925 + 0.586762i 0.862775 + 0.505588i \(0.168724\pi\)
−0.996700 + 0.0811747i \(0.974133\pi\)
\(110\) 562.751 + 2465.57i 0.487784 + 2.13712i
\(111\) 122.759 + 153.935i 0.104971 + 0.131629i
\(112\) 1995.07 960.773i 1.68318 0.810576i
\(113\) 453.467 218.378i 0.377510 0.181799i −0.235500 0.971874i \(-0.575673\pi\)
0.613010 + 0.790075i \(0.289958\pi\)
\(114\) −172.094 753.991i −0.141386 0.619454i
\(115\) −795.399 + 997.398i −0.644968 + 0.808764i
\(116\) −472.016 227.311i −0.377807 0.181942i
\(117\) −1820.20 + 2282.46i −1.43827 + 1.80354i
\(118\) 155.361 680.680i 0.121204 0.531031i
\(119\) −538.404 + 259.282i −0.414752 + 0.199734i
\(120\) −202.253 + 886.128i −0.153859 + 0.674100i
\(121\) −1611.36 775.989i −1.21064 0.583012i
\(122\) 1367.77 1.01502
\(123\) 624.005 0.457436
\(124\) −80.7716 38.8975i −0.0584960 0.0281702i
\(125\) −270.509 1185.18i −0.193561 0.848045i
\(126\) −2698.79 3384.18i −1.90815 2.39275i
\(127\) −1182.37 + 1482.65i −0.826132 + 1.03594i 0.172570 + 0.984997i \(0.444793\pi\)
−0.998702 + 0.0509396i \(0.983778\pi\)
\(128\) −1093.52 −0.755111
\(129\) −1674.98 1616.39i −1.14321 1.10322i
\(130\) −3212.49 −2.16734
\(131\) −36.0170 + 45.1639i −0.0240215 + 0.0301220i −0.793697 0.608313i \(-0.791847\pi\)
0.769676 + 0.638435i \(0.220418\pi\)
\(132\) 1600.77 + 2007.30i 1.05552 + 1.32359i
\(133\) −161.619 708.100i −0.105370 0.461654i
\(134\) −2060.42 992.247i −1.32831 0.639680i
\(135\) 1435.76 0.915335
\(136\) 187.427 0.118175
\(137\) 1874.39 + 902.657i 1.16890 + 0.562914i 0.914659 0.404226i \(-0.132459\pi\)
0.254244 + 0.967140i \(0.418174\pi\)
\(138\) −702.229 + 3076.67i −0.433172 + 1.89785i
\(139\) 1744.65 840.181i 1.06460 0.512685i 0.182239 0.983254i \(-0.441666\pi\)
0.882363 + 0.470569i \(0.155951\pi\)
\(140\) 434.974 1905.75i 0.262586 1.15046i
\(141\) 28.6243 35.8937i 0.0170964 0.0214383i
\(142\) 2138.76 + 1029.97i 1.26395 + 0.608687i
\(143\) 2470.62 3098.06i 1.44478 1.81170i
\(144\) 709.989 + 3110.67i 0.410873 + 1.80015i
\(145\) 1042.00 501.799i 0.596780 0.287394i
\(146\) 1622.52 781.364i 0.919731 0.442919i
\(147\) −2432.15 3049.82i −1.36463 1.71119i
\(148\) 29.5527 + 129.479i 0.0164136 + 0.0719128i
\(149\) −108.724 + 476.352i −0.0597787 + 0.261908i −0.995982 0.0895506i \(-0.971457\pi\)
0.936204 + 0.351458i \(0.114314\pi\)
\(150\) 494.946 + 620.643i 0.269415 + 0.337835i
\(151\) −2054.21 2575.90i −1.10708 1.38823i −0.913348 0.407181i \(-0.866512\pi\)
−0.193733 0.981054i \(-0.562059\pi\)
\(152\) −50.6905 + 222.090i −0.0270496 + 0.118512i
\(153\) −191.603 839.469i −0.101243 0.443576i
\(154\) 3663.15 + 4593.45i 1.91679 + 2.40358i
\(155\) 178.307 85.8680i 0.0923997 0.0444973i
\(156\) −2938.36 + 1415.04i −1.50806 + 0.726243i
\(157\) 124.864 + 547.063i 0.0634726 + 0.278092i 0.996698 0.0812003i \(-0.0258753\pi\)
−0.933225 + 0.359292i \(0.883018\pi\)
\(158\) 2550.39 3198.09i 1.28417 1.61029i
\(159\) 4627.81 + 2228.64i 2.30823 + 1.11159i
\(160\) −1639.89 + 2056.36i −0.810282 + 1.01606i
\(161\) −659.488 + 2889.41i −0.322826 + 1.41439i
\(162\) −487.218 + 234.632i −0.236293 + 0.113793i
\(163\) −144.061 + 631.171i −0.0692251 + 0.303295i −0.997674 0.0681650i \(-0.978286\pi\)
0.928449 + 0.371460i \(0.121143\pi\)
\(164\) 379.228 + 182.627i 0.180566 + 0.0869558i
\(165\) −5667.73 −2.67414
\(166\) 1296.22 0.606061
\(167\) −2346.26 1129.90i −1.08718 0.523558i −0.197574 0.980288i \(-0.563306\pi\)
−0.889605 + 0.456730i \(0.849021\pi\)
\(168\) 469.867 + 2058.62i 0.215780 + 0.945394i
\(169\) 1768.55 + 2217.69i 0.804982 + 1.00942i
\(170\) 590.761 740.791i 0.266525 0.334212i
\(171\) 1046.54 0.468017
\(172\) −544.876 1472.55i −0.241549 0.652795i
\(173\) 1969.05 0.865344 0.432672 0.901552i \(-0.357571\pi\)
0.432672 + 0.901552i \(0.357571\pi\)
\(174\) 1783.77 2236.77i 0.777167 0.974536i
\(175\) 464.821 + 582.868i 0.200784 + 0.251775i
\(176\) −963.691 4222.21i −0.412733 1.80830i
\(177\) 1409.76 + 678.903i 0.598666 + 0.288302i
\(178\) 1582.62 0.666419
\(179\) −1327.24 −0.554203 −0.277102 0.960841i \(-0.589374\pi\)
−0.277102 + 0.960841i \(0.589374\pi\)
\(180\) 2537.67 + 1222.08i 1.05082 + 0.506047i
\(181\) 557.329 2441.82i 0.228873 1.00276i −0.721688 0.692218i \(-0.756634\pi\)
0.950561 0.310538i \(-0.100509\pi\)
\(182\) −6724.06 + 3238.14i −2.73857 + 1.31883i
\(183\) −682.100 + 2988.47i −0.275531 + 1.20718i
\(184\) 579.561 726.747i 0.232206 0.291177i
\(185\) −264.147 127.206i −0.104975 0.0505535i
\(186\) 305.239 382.757i 0.120329 0.150888i
\(187\) 260.069 + 1139.44i 0.101701 + 0.445583i
\(188\) 27.9009 13.4363i 0.0108238 0.00521248i
\(189\) 3005.18 1447.22i 1.15659 0.556983i
\(190\) 718.018 + 900.366i 0.274160 + 0.343786i
\(191\) −358.408 1570.29i −0.135778 0.594881i −0.996336 0.0855284i \(-0.972742\pi\)
0.860558 0.509352i \(-0.170115\pi\)
\(192\) −308.301 + 1350.75i −0.115884 + 0.507720i
\(193\) −2211.26 2772.83i −0.824716 1.03416i −0.998778 0.0494261i \(-0.984261\pi\)
0.174062 0.984735i \(-0.444311\pi\)
\(194\) −2717.81 3408.02i −1.00581 1.26125i
\(195\) 1602.05 7019.04i 0.588334 2.57766i
\(196\) −585.511 2565.29i −0.213378 0.934872i
\(197\) 1784.90 + 2238.20i 0.645529 + 0.809468i 0.991682 0.128710i \(-0.0410837\pi\)
−0.346153 + 0.938178i \(0.612512\pi\)
\(198\) −7627.27 + 3673.10i −2.73761 + 1.31836i
\(199\) −1600.45 + 770.737i −0.570116 + 0.274553i −0.696653 0.717409i \(-0.745328\pi\)
0.126537 + 0.991962i \(0.459614\pi\)
\(200\) −52.0310 227.962i −0.0183957 0.0805969i
\(201\) 3195.51 4007.04i 1.12136 1.40614i
\(202\) −6606.25 3181.40i −2.30106 1.10813i
\(203\) 1675.20 2100.63i 0.579191 0.726283i
\(204\) 214.046 937.799i 0.0734620 0.321858i
\(205\) −837.163 + 403.156i −0.285219 + 0.137354i
\(206\) −338.431 + 1482.76i −0.114464 + 0.501501i
\(207\) −3847.51 1852.86i −1.29188 0.622139i
\(208\) 5501.27 1.83387
\(209\) −1420.50 −0.470134
\(210\) 9617.54 + 4631.56i 3.16035 + 1.52194i
\(211\) 1140.88 + 4998.51i 0.372233 + 1.63086i 0.720494 + 0.693462i \(0.243915\pi\)
−0.348260 + 0.937398i \(0.613228\pi\)
\(212\) 2160.22 + 2708.83i 0.699832 + 0.877562i
\(213\) −3317.01 + 4159.39i −1.06703 + 1.33801i
\(214\) −176.292 −0.0563136
\(215\) 3291.47 + 1086.37i 1.04408 + 0.344604i
\(216\) −1046.15 −0.329545
\(217\) 286.661 359.461i 0.0896764 0.112451i
\(218\) −1572.98 1972.46i −0.488696 0.612805i
\(219\) 898.080 + 3934.74i 0.277108 + 1.21409i
\(220\) −3444.47 1658.77i −1.05557 0.508337i
\(221\) −1484.62 −0.451883
\(222\) −725.250 −0.219260
\(223\) 502.500 + 241.991i 0.150896 + 0.0726679i 0.507808 0.861470i \(-0.330456\pi\)
−0.356912 + 0.934138i \(0.616170\pi\)
\(224\) −1359.68 + 5957.16i −0.405570 + 1.77692i
\(225\) −967.832 + 466.084i −0.286765 + 0.138099i
\(226\) −412.545 + 1807.48i −0.121425 + 0.531999i
\(227\) 1869.49 2344.27i 0.546619 0.685439i −0.429402 0.903113i \(-0.641276\pi\)
0.976021 + 0.217674i \(0.0698471\pi\)
\(228\) 1053.34 + 507.264i 0.305962 + 0.147344i
\(229\) 590.042 739.889i 0.170267 0.213508i −0.689376 0.724404i \(-0.742115\pi\)
0.859642 + 0.510896i \(0.170686\pi\)
\(230\) −1045.66 4581.34i −0.299778 1.31341i
\(231\) −11863.1 + 5712.99i −3.37895 + 1.62722i
\(232\) −759.243 + 365.632i −0.214857 + 0.103469i
\(233\) −619.126 776.359i −0.174078 0.218287i 0.687137 0.726528i \(-0.258867\pi\)
−0.861215 + 0.508241i \(0.830296\pi\)
\(234\) −2392.91 10484.0i −0.668501 2.92890i
\(235\) −15.2121 + 66.6484i −0.00422266 + 0.0185007i
\(236\) 658.062 + 825.183i 0.181509 + 0.227605i
\(237\) 5715.71 + 7167.28i 1.56656 + 1.96441i
\(238\) 489.817 2146.03i 0.133404 0.584481i
\(239\) 538.491 + 2359.28i 0.145741 + 0.638533i 0.994040 + 0.109016i \(0.0347699\pi\)
−0.848299 + 0.529518i \(0.822373\pi\)
\(240\) −4905.97 6151.89i −1.31949 1.65459i
\(241\) −52.2632 + 25.1687i −0.0139692 + 0.00672720i −0.440855 0.897578i \(-0.645325\pi\)
0.426886 + 0.904305i \(0.359611\pi\)
\(242\) 5935.49 2858.38i 1.57664 0.759271i
\(243\) −971.417 4256.06i −0.256446 1.12356i
\(244\) −1289.17 + 1616.56i −0.338239 + 0.424139i
\(245\) 5233.39 + 2520.27i 1.36469 + 0.657200i
\(246\) −1433.12 + 1797.07i −0.371432 + 0.465761i
\(247\) 401.521 1759.18i 0.103434 0.453173i
\(248\) −129.922 + 62.5671i −0.0332663 + 0.0160202i
\(249\) −646.418 + 2832.14i −0.164518 + 0.720802i
\(250\) 4034.46 + 1942.90i 1.02065 + 0.491518i
\(251\) −1283.94 −0.322876 −0.161438 0.986883i \(-0.551613\pi\)
−0.161438 + 0.986883i \(0.551613\pi\)
\(252\) 6543.45 1.63571
\(253\) 5222.34 + 2514.95i 1.29773 + 0.624954i
\(254\) −1554.39 6810.24i −0.383982 1.68233i
\(255\) 1323.96 + 1660.20i 0.325136 + 0.407708i
\(256\) 3348.56 4198.96i 0.817518 1.02514i
\(257\) −2588.04 −0.628162 −0.314081 0.949396i \(-0.601696\pi\)
−0.314081 + 0.949396i \(0.601696\pi\)
\(258\) 8501.89 1111.52i 2.05157 0.268217i
\(259\) −681.108 −0.163405
\(260\) 3027.87 3796.83i 0.722233 0.905651i
\(261\) 2413.79 + 3026.80i 0.572452 + 0.717832i
\(262\) −47.3493 207.451i −0.0111651 0.0489174i
\(263\) 3332.12 + 1604.66i 0.781244 + 0.376227i 0.781606 0.623773i \(-0.214401\pi\)
−0.000361656 1.00000i \(0.500115\pi\)
\(264\) 4129.75 0.962760
\(265\) −7648.53 −1.77300
\(266\) 2410.44 + 1160.81i 0.555615 + 0.267570i
\(267\) −789.245 + 3457.91i −0.180903 + 0.792587i
\(268\) 3114.75 1499.98i 0.709938 0.341888i
\(269\) 511.763 2242.18i 0.115995 0.508209i −0.883233 0.468934i \(-0.844638\pi\)
0.999228 0.0392745i \(-0.0125047\pi\)
\(270\) −3297.42 + 4134.84i −0.743240 + 0.931993i
\(271\) −6369.96 3067.61i −1.42785 0.687616i −0.449253 0.893404i \(-0.648310\pi\)
−0.978597 + 0.205788i \(0.934024\pi\)
\(272\) −1011.66 + 1268.58i −0.225517 + 0.282790i
\(273\) −3721.83 16306.4i −0.825111 3.61505i
\(274\) −6904.36 + 3324.97i −1.52229 + 0.733097i
\(275\) 1313.67 632.630i 0.288063 0.138724i
\(276\) −2974.43 3729.82i −0.648694 0.813437i
\(277\) 157.749 + 691.143i 0.0342174 + 0.149916i 0.989151 0.146904i \(-0.0469309\pi\)
−0.954933 + 0.296820i \(0.904074\pi\)
\(278\) −1587.21 + 6954.03i −0.342427 + 1.50027i
\(279\) 413.049 + 517.947i 0.0886330 + 0.111142i
\(280\) −1960.41 2458.27i −0.418416 0.524678i
\(281\) −1891.97 + 8289.27i −0.401657 + 1.75977i 0.219034 + 0.975717i \(0.429709\pi\)
−0.620691 + 0.784055i \(0.713148\pi\)
\(282\) 37.6305 + 164.870i 0.00794633 + 0.0348151i
\(283\) −506.944 635.688i −0.106483 0.133526i 0.725734 0.687975i \(-0.241500\pi\)
−0.832217 + 0.554450i \(0.812929\pi\)
\(284\) −3233.18 + 1557.02i −0.675541 + 0.325324i
\(285\) −2325.30 + 1119.81i −0.483295 + 0.232743i
\(286\) 3247.97 + 14230.3i 0.671526 + 2.94215i
\(287\) −1345.89 + 1687.69i −0.276813 + 0.347113i
\(288\) −7932.51 3820.09i −1.62301 0.781601i
\(289\) −2790.19 + 3498.79i −0.567920 + 0.712149i
\(290\) −947.964 + 4153.30i −0.191953 + 0.841001i
\(291\) 8801.63 4238.64i 1.77306 0.853861i
\(292\) −605.784 + 2654.11i −0.121407 + 0.531918i
\(293\) 4289.97 + 2065.94i 0.855367 + 0.411923i 0.809567 0.587028i \(-0.199702\pi\)
0.0457999 + 0.998951i \(0.485416\pi\)
\(294\) 14369.0 2.85039
\(295\) −2329.95 −0.459847
\(296\) 192.469 + 92.6880i 0.0377940 + 0.0182006i
\(297\) −1451.62 6359.94i −0.283607 1.24256i
\(298\) −1122.14 1407.12i −0.218135 0.273532i
\(299\) −4590.72 + 5756.58i −0.887920 + 1.11342i
\(300\) −1200.04 −0.230948
\(301\) 7984.42 1043.87i 1.52895 0.199892i
\(302\) 12136.1 2.31243
\(303\) 10245.6 12847.6i 1.94256 2.43589i
\(304\) −1229.58 1541.84i −0.231978 0.290891i
\(305\) −1015.69 4450.02i −0.190682 0.835433i
\(306\) 2857.63 + 1376.16i 0.533856 + 0.257092i
\(307\) −8092.16 −1.50438 −0.752189 0.658948i \(-0.771002\pi\)
−0.752189 + 0.658948i \(0.771002\pi\)
\(308\) −8881.63 −1.64311
\(309\) −3070.95 1478.89i −0.565374 0.272270i
\(310\) −162.216 + 710.714i −0.0297201 + 0.130212i
\(311\) −1886.61 + 908.546i −0.343987 + 0.165656i −0.597898 0.801572i \(-0.703997\pi\)
0.253911 + 0.967228i \(0.418283\pi\)
\(312\) −1167.32 + 5114.37i −0.211816 + 0.928026i
\(313\) 3575.15 4483.10i 0.645621 0.809584i −0.346072 0.938208i \(-0.612485\pi\)
0.991693 + 0.128624i \(0.0410561\pi\)
\(314\) −1862.26 896.815i −0.334692 0.161179i
\(315\) −9006.28 + 11293.5i −1.61094 + 2.02006i
\(316\) 1375.99 + 6028.60i 0.244954 + 1.07321i
\(317\) 8604.01 4143.47i 1.52445 0.734134i 0.530885 0.847444i \(-0.321859\pi\)
0.993560 + 0.113310i \(0.0361452\pi\)
\(318\) −17046.7 + 8209.25i −3.00607 + 1.44765i
\(319\) −3276.32 4108.37i −0.575042 0.721080i
\(320\) −459.078 2011.35i −0.0801977 0.351369i
\(321\) 87.9161 385.186i 0.0152866 0.0669750i
\(322\) −6806.59 8535.20i −1.17800 1.47717i
\(323\) 331.824 + 416.094i 0.0571616 + 0.0716784i
\(324\) 181.908 796.989i 0.0311913 0.136658i
\(325\) 412.138 + 1805.70i 0.0703425 + 0.308191i
\(326\) −1486.85 1864.45i −0.252605 0.316756i
\(327\) 5094.10 2453.19i 0.861482 0.414868i
\(328\) 609.993 293.757i 0.102687 0.0494513i
\(329\) 35.3402 + 154.835i 0.00592208 + 0.0259463i
\(330\) 13016.8 16322.5i 2.17136 2.72280i
\(331\) 1107.26 + 533.230i 0.183869 + 0.0885467i 0.523554 0.851993i \(-0.324606\pi\)
−0.339684 + 0.940539i \(0.610320\pi\)
\(332\) −1221.73 + 1532.00i −0.201961 + 0.253251i
\(333\) 218.384 956.802i 0.0359380 0.157455i
\(334\) 8642.52 4162.02i 1.41586 0.681843i
\(335\) −1698.22 + 7440.38i −0.276966 + 1.21347i
\(336\) −16469.7 7931.38i −2.67409 1.28778i
\(337\) −2889.26 −0.467027 −0.233514 0.972354i \(-0.575022\pi\)
−0.233514 + 0.972354i \(0.575022\pi\)
\(338\) −10448.4 −1.68142
\(339\) −3743.47 1802.76i −0.599756 0.288827i
\(340\) 318.728 + 1396.44i 0.0508396 + 0.222743i
\(341\) −560.644 703.026i −0.0890340 0.111645i
\(342\) −2403.53 + 3013.93i −0.380023 + 0.476534i
\(343\) 3699.17 0.582321
\(344\) −2398.30 791.576i −0.375895 0.124067i
\(345\) 10531.3 1.64345
\(346\) −4522.22 + 5670.68i −0.702647 + 0.881092i
\(347\) −1207.21 1513.80i −0.186763 0.234193i 0.679632 0.733554i \(-0.262140\pi\)
−0.866394 + 0.499361i \(0.833568\pi\)
\(348\) 962.379 + 4216.46i 0.148244 + 0.649500i
\(349\) −1641.30 790.411i −0.251739 0.121231i 0.303759 0.952749i \(-0.401758\pi\)
−0.555498 + 0.831518i \(0.687472\pi\)
\(350\) −2746.13 −0.419391
\(351\) 8286.60 1.26013
\(352\) 10767.0 + 5185.13i 1.63036 + 0.785138i
\(353\) 188.098 824.111i 0.0283610 0.124258i −0.958766 0.284198i \(-0.908273\pi\)
0.987127 + 0.159940i \(0.0511300\pi\)
\(354\) −5192.88 + 2500.76i −0.779657 + 0.375463i
\(355\) 1762.79 7723.28i 0.263547 1.15467i
\(356\) −1491.67 + 1870.50i −0.222074 + 0.278472i
\(357\) 4444.64 + 2140.43i 0.658923 + 0.317320i
\(358\) 3048.19 3822.31i 0.450006 0.564289i
\(359\) 1869.16 + 8189.34i 0.274793 + 1.20395i 0.904281 + 0.426937i \(0.140407\pi\)
−0.629489 + 0.777010i \(0.716736\pi\)
\(360\) 4081.88 1965.73i 0.597594 0.287786i
\(361\) 5596.96 2695.35i 0.816002 0.392966i
\(362\) 5752.21 + 7213.04i 0.835164 + 1.04726i
\(363\) 3285.35 + 14394.0i 0.475030 + 2.08124i
\(364\) 2510.49 10999.2i 0.361499 1.58383i
\(365\) −3747.02 4698.61i −0.537336 0.673799i
\(366\) −7039.97 8827.84i −1.00542 1.26076i
\(367\) 1536.58 6732.22i 0.218553 0.957545i −0.739995 0.672613i \(-0.765172\pi\)
0.958548 0.284932i \(-0.0919709\pi\)
\(368\) 1790.66 + 7845.38i 0.253653 + 1.11133i
\(369\) −1939.29 2431.80i −0.273592 0.343074i
\(370\) 972.994 468.569i 0.136712 0.0658371i
\(371\) −16009.1 + 7709.60i −2.24031 + 1.07887i
\(372\) 164.683 + 721.522i 0.0229527 + 0.100562i
\(373\) −5244.74 + 6576.70i −0.728050 + 0.912945i −0.998763 0.0497145i \(-0.984169\pi\)
0.270714 + 0.962660i \(0.412740\pi\)
\(374\) −3878.76 1867.91i −0.536272 0.258255i
\(375\) −6257.04 + 7846.09i −0.861633 + 1.08045i
\(376\) 11.0842 48.5628i 0.00152027 0.00666074i
\(377\) 6013.98 2896.18i 0.821580 0.395652i
\(378\) −2733.99 + 11978.4i −0.372014 + 1.62990i
\(379\) −5507.14 2652.10i −0.746392 0.359443i 0.0217156 0.999764i \(-0.493087\pi\)
−0.768108 + 0.640321i \(0.778801\pi\)
\(380\) −1740.89 −0.235016
\(381\) 15655.0 2.10507
\(382\) 5345.42 + 2574.22i 0.715956 + 0.344786i
\(383\) −2228.68 9764.48i −0.297337 1.30272i −0.874075 0.485790i \(-0.838532\pi\)
0.576738 0.816929i \(-0.304325\pi\)
\(384\) 5628.38 + 7057.77i 0.747974 + 0.937930i
\(385\) 12224.5 15329.0i 1.61823 2.02920i
\(386\) 13064.0 1.72264
\(387\) −1093.65 + 11551.0i −0.143652 + 1.51723i
\(388\) 6589.55 0.862201
\(389\) 1235.20 1548.89i 0.160995 0.201882i −0.694790 0.719212i \(-0.744503\pi\)
0.855786 + 0.517331i \(0.173074\pi\)
\(390\) 16534.8 + 20734.0i 2.14685 + 2.69207i
\(391\) −483.241 2117.22i −0.0625027 0.273842i
\(392\) −3813.27 1836.37i −0.491325 0.236609i
\(393\) 476.877 0.0612094
\(394\) −10545.1 −1.34836
\(395\) −12298.8 5922.79i −1.56663 0.754451i
\(396\) 2847.72 12476.7i 0.361372 1.58327i
\(397\) −3407.25 + 1640.84i −0.430743 + 0.207435i −0.636676 0.771131i \(-0.719691\pi\)
0.205934 + 0.978566i \(0.433977\pi\)
\(398\) 1456.02 6379.25i 0.183376 0.803425i
\(399\) −3738.35 + 4687.74i −0.469051 + 0.588171i
\(400\) 1823.78 + 878.285i 0.227972 + 0.109786i
\(401\) 8481.00 10634.8i 1.05616 1.32438i 0.112434 0.993659i \(-0.464135\pi\)
0.943727 0.330725i \(-0.107293\pi\)
\(402\) 4200.93 + 18405.5i 0.521202 + 2.28354i
\(403\) 1029.11 495.595i 0.127206 0.0612590i
\(404\) 9986.69 4809.33i 1.22984 0.592261i
\(405\) 1125.17 + 1410.92i 0.138050 + 0.173109i
\(406\) 2202.28 + 9648.81i 0.269205 + 1.17946i
\(407\) −296.419 + 1298.70i −0.0361007 + 0.158167i
\(408\) −964.696 1209.69i −0.117058 0.146786i
\(409\) 5891.98 + 7388.31i 0.712322 + 0.893223i 0.997876 0.0651393i \(-0.0207492\pi\)
−0.285554 + 0.958362i \(0.592178\pi\)
\(410\) 761.615 3336.85i 0.0917402 0.401940i
\(411\) −3821.63 16743.7i −0.458655 2.00950i
\(412\) −1433.49 1797.54i −0.171415 0.214948i
\(413\) −4876.82 + 2348.55i −0.581048 + 0.279818i
\(414\) 14172.4 6825.07i 1.68245 0.810227i
\(415\) −962.554 4217.23i −0.113855 0.498833i
\(416\) −9464.81 + 11868.5i −1.11551 + 1.39880i
\(417\) −14402.5 6935.88i −1.69135 0.814511i
\(418\) 3262.38 4090.90i 0.381743 0.478690i
\(419\) −1171.74 + 5133.74i −0.136619 + 0.598568i 0.859545 + 0.511061i \(0.170747\pi\)
−0.996164 + 0.0875071i \(0.972110\pi\)
\(420\) −14538.9 + 7001.55i −1.68911 + 0.813430i
\(421\) −157.758 + 691.182i −0.0182628 + 0.0800146i −0.983238 0.182326i \(-0.941637\pi\)
0.964975 + 0.262341i \(0.0844945\pi\)
\(422\) −17015.4 8194.18i −1.96279 0.945229i
\(423\) −228.840 −0.0263039
\(424\) 5573.04 0.638328
\(425\) −492.179 237.021i −0.0561746 0.0270523i
\(426\) −4360.66 19105.3i −0.495950 2.17290i
\(427\) −6611.48 8290.54i −0.749302 0.939595i
\(428\) 166.161 208.360i 0.0187657 0.0235314i
\(429\) −32711.8 −3.68145
\(430\) −10688.0 + 6984.10i −1.19865 + 0.783263i
\(431\) 12530.7 1.40042 0.700210 0.713937i \(-0.253090\pi\)
0.700210 + 0.713937i \(0.253090\pi\)
\(432\) 5646.72 7080.76i 0.628884 0.788595i
\(433\) 8500.02 + 10658.7i 0.943383 + 1.18296i 0.982973 + 0.183749i \(0.0588233\pi\)
−0.0395901 + 0.999216i \(0.512605\pi\)
\(434\) 376.855 + 1651.11i 0.0416811 + 0.182617i
\(435\) −8601.90 4142.46i −0.948114 0.456588i
\(436\) 3813.82 0.418920
\(437\) 2639.47 0.288931
\(438\) −13394.2 6450.33i −1.46119 0.703673i
\(439\) 3746.95 16416.5i 0.407363 1.78477i −0.188914 0.981994i \(-0.560497\pi\)
0.596276 0.802779i \(-0.296646\pi\)
\(440\) −5540.46 + 2668.14i −0.600298 + 0.289088i
\(441\) −4326.71 + 18956.6i −0.467197 + 2.04692i
\(442\) 3409.63 4275.55i 0.366923 0.460106i
\(443\) 7183.62 + 3459.45i 0.770438 + 0.371023i 0.777444 0.628952i \(-0.216516\pi\)
−0.00700629 + 0.999975i \(0.502230\pi\)
\(444\) 683.572 857.172i 0.0730650 0.0916206i
\(445\) −1175.23 5149.04i −0.125194 0.548512i
\(446\) −1850.98 + 891.383i −0.196516 + 0.0946372i
\(447\) 3634.07 1750.08i 0.384531 0.185181i
\(448\) −2988.31 3747.22i −0.315144 0.395178i
\(449\) 55.3690 + 242.588i 0.00581966 + 0.0254976i 0.977754 0.209753i \(-0.0672660\pi\)
−0.971935 + 0.235251i \(0.924409\pi\)
\(450\) 880.493 3857.69i 0.0922374 0.404118i
\(451\) 2632.26 + 3300.76i 0.274830 + 0.344626i
\(452\) −1747.42 2191.19i −0.181840 0.228020i
\(453\) −6052.22 + 26516.5i −0.627722 + 2.75023i
\(454\) 2457.70 + 10767.9i 0.254066 + 1.11313i
\(455\) 15528.4 + 19472.0i 1.59996 + 2.00629i
\(456\) 1694.31 815.939i 0.173999 0.0837935i
\(457\) −16688.1 + 8036.54i −1.70817 + 0.822612i −0.715946 + 0.698155i \(0.754005\pi\)
−0.992225 + 0.124457i \(0.960281\pi\)
\(458\) 775.691 + 3398.53i 0.0791390 + 0.346731i
\(459\) −1523.87 + 1910.87i −0.154963 + 0.194318i
\(460\) 6400.24 + 3082.19i 0.648724 + 0.312409i
\(461\) 1945.91 2440.09i 0.196594 0.246521i −0.673757 0.738953i \(-0.735320\pi\)
0.870351 + 0.492432i \(0.163892\pi\)
\(462\) 10792.6 47285.4i 1.08683 4.76172i
\(463\) 2381.26 1146.76i 0.239021 0.115106i −0.310539 0.950561i \(-0.600510\pi\)
0.549560 + 0.835454i \(0.314795\pi\)
\(464\) 1623.35 7112.38i 0.162419 0.711603i
\(465\) −1471.96 708.859i −0.146797 0.0706937i
\(466\) 3657.75 0.363609
\(467\) −14644.0 −1.45106 −0.725528 0.688192i \(-0.758405\pi\)
−0.725528 + 0.688192i \(0.758405\pi\)
\(468\) 14646.4 + 7053.35i 1.44665 + 0.696669i
\(469\) 3945.24 + 17285.2i 0.388432 + 1.70183i
\(470\) −157.004 196.877i −0.0154086 0.0193218i
\(471\) 2888.17 3621.65i 0.282547 0.354303i
\(472\) 1697.70 0.165557
\(473\) 1484.45 15678.5i 0.144302 1.52410i
\(474\) −33768.0 −3.27219
\(475\) 413.967 519.099i 0.0399876 0.0501429i
\(476\) 2074.72 + 2601.61i 0.199779 + 0.250514i
\(477\) −5697.22 24961.1i −0.546871 2.39600i
\(478\) −8031.23 3867.64i −0.768494 0.370087i
\(479\) 16033.1 1.52938 0.764689 0.644399i \(-0.222892\pi\)
0.764689 + 0.644399i \(0.222892\pi\)
\(480\) 21712.8 2.06468
\(481\) −1524.55 734.184i −0.144519 0.0695965i
\(482\) 47.5469 208.316i 0.00449315 0.0196858i
\(483\) 22043.2 10615.4i 2.07660 1.00004i
\(484\) −2216.07 + 9709.25i −0.208121 + 0.911838i
\(485\) −9069.74 + 11373.1i −0.849145 + 1.06479i
\(486\) 14488.0 + 6977.07i 1.35224 + 0.651206i
\(487\) −9958.89 + 12488.1i −0.926654 + 1.16199i 0.0598428 + 0.998208i \(0.480940\pi\)
−0.986497 + 0.163780i \(0.947631\pi\)
\(488\) 740.073 + 3242.47i 0.0686507 + 0.300778i
\(489\) 4815.18 2318.87i 0.445296 0.214443i
\(490\) −19277.4 + 9283.49i −1.77727 + 0.855888i
\(491\) 8560.56 + 10734.6i 0.786828 + 0.986651i 0.999954 + 0.00962653i \(0.00306427\pi\)
−0.213125 + 0.977025i \(0.568364\pi\)
\(492\) −773.197 3387.60i −0.0708504 0.310416i
\(493\) −438.091 + 1919.40i −0.0400216 + 0.175346i
\(494\) 4144.11 + 5196.55i 0.377434 + 0.473287i
\(495\) 17614.3 + 22087.6i 1.59940 + 2.00558i
\(496\) 277.789 1217.07i 0.0251474 0.110178i
\(497\) −4095.25 17942.5i −0.369612 1.61937i
\(498\) −6671.69 8366.04i −0.600333 0.752794i
\(499\) 13996.2 6740.23i 1.25563 0.604678i 0.316612 0.948555i \(-0.397455\pi\)
0.939015 + 0.343877i \(0.111740\pi\)
\(500\) −6098.91 + 2937.08i −0.545503 + 0.262701i
\(501\) 4783.71 + 20958.8i 0.426588 + 1.86900i
\(502\) 2948.76 3697.63i 0.262171 0.328752i
\(503\) −7887.63 3798.48i −0.699189 0.336712i 0.0502946 0.998734i \(-0.483984\pi\)
−0.749484 + 0.662023i \(0.769698\pi\)
\(504\) 6562.36 8228.94i 0.579981 0.727274i
\(505\) −5444.92 + 23855.8i −0.479794 + 2.10211i
\(506\) −19236.7 + 9263.89i −1.69007 + 0.813894i
\(507\) 5210.58 22829.1i 0.456430 1.99975i
\(508\) 9514.08 + 4581.74i 0.830943 + 0.400161i
\(509\) 14111.2 1.22882 0.614408 0.788989i \(-0.289395\pi\)
0.614408 + 0.788989i \(0.289395\pi\)
\(510\) −7821.88 −0.679134
\(511\) −12579.0 6057.73i −1.08897 0.524419i
\(512\) 2455.49 + 10758.2i 0.211950 + 0.928614i
\(513\) −1852.13 2322.49i −0.159402 0.199884i
\(514\) 5943.81 7453.30i 0.510059 0.639593i
\(515\) 5075.46 0.434275
\(516\) −6699.60 + 11096.0i −0.571576 + 0.946655i
\(517\) 310.611 0.0264230
\(518\) 1564.26 1961.52i 0.132683 0.166379i
\(519\) −10134.8 12708.6i −0.857165 1.07485i
\(520\) −1738.21 7615.60i −0.146588 0.642243i
\(521\) 5288.56 + 2546.83i 0.444714 + 0.214163i 0.642819 0.766018i \(-0.277765\pi\)
−0.198106 + 0.980181i \(0.563479\pi\)
\(522\) −14260.5 −1.19572
\(523\) 16310.7 1.36370 0.681851 0.731491i \(-0.261175\pi\)
0.681851 + 0.731491i \(0.261175\pi\)
\(524\) 289.814 + 139.567i 0.0241614 + 0.0116355i
\(525\) 1369.48 6000.09i 0.113846 0.498791i
\(526\) −12274.0 + 5910.83i −1.01743 + 0.489970i
\(527\) −74.9663 + 328.449i −0.00619656 + 0.0271489i
\(528\) −22290.7 + 27951.7i −1.83727 + 2.30387i
\(529\) 1258.33 + 605.981i 0.103422 + 0.0498053i
\(530\) 17566.0 22027.0i 1.43965 1.80527i
\(531\) −1735.53 7603.84i −0.141837 0.621429i
\(532\) −3643.87 + 1754.79i −0.296958 + 0.143008i
\(533\) −4831.76 + 2326.86i −0.392658 + 0.189094i
\(534\) −8145.82 10214.5i −0.660120 0.827765i
\(535\) 130.912 + 573.564i 0.0105791 + 0.0463502i
\(536\) 1237.39 5421.37i 0.0997150 0.436880i
\(537\) 6831.35 + 8566.24i 0.548965 + 0.688381i
\(538\) 5281.92 + 6623.32i 0.423271 + 0.530765i
\(539\) 5872.79 25730.4i 0.469311 2.05619i
\(540\) −1779.03 7794.43i −0.141773 0.621146i
\(541\) −4010.10 5028.51i −0.318683 0.399616i 0.596527 0.802593i \(-0.296547\pi\)
−0.915210 + 0.402977i \(0.867976\pi\)
\(542\) 23463.9 11299.6i 1.85952 0.895500i
\(543\) −18628.5 + 8971.03i −1.47224 + 0.708994i
\(544\) −996.311 4365.12i −0.0785229 0.344031i
\(545\) −5249.28 + 6582.38i −0.412577 + 0.517355i
\(546\) 55508.5 + 26731.5i 4.35082 + 2.09524i
\(547\) 4681.93 5870.96i 0.365969 0.458911i −0.564418 0.825489i \(-0.690899\pi\)
0.930387 + 0.366578i \(0.119471\pi\)
\(548\) 2577.81 11294.1i 0.200947 0.880404i
\(549\) 13766.2 6629.43i 1.07017 0.515369i
\(550\) −1195.12 + 5236.17i −0.0926547 + 0.405947i
\(551\) −2155.89 1038.22i −0.166686 0.0802717i
\(552\) −7673.59 −0.591684
\(553\) −31712.7 −2.43863
\(554\) −2352.72 1133.01i −0.180428 0.0868897i
\(555\) 538.561 + 2359.59i 0.0411903 + 0.180467i
\(556\) −6722.95 8430.32i −0.512800 0.643031i
\(557\) −10482.5 + 13144.6i −0.797411 + 0.999922i 0.202377 + 0.979308i \(0.435133\pi\)
−0.999788 + 0.0206138i \(0.993438\pi\)
\(558\) −2440.26 −0.185134
\(559\) 18997.0 + 6270.09i 1.43737 + 0.474412i
\(560\) 27220.0 2.05402
\(561\) 6015.56 7543.27i 0.452722 0.567696i
\(562\) −19527.1 24486.2i −1.46566 1.83788i
\(563\) 2440.01 + 10690.4i 0.182654 + 0.800260i 0.980360 + 0.197214i \(0.0631893\pi\)
−0.797706 + 0.603046i \(0.793954\pi\)
\(564\) −230.327 110.920i −0.0171960 0.00828115i
\(565\) 6186.95 0.460685
\(566\) 2994.99 0.222418
\(567\) 3777.28 + 1819.04i 0.279773 + 0.134731i
\(568\) −1284.44 + 5627.51i −0.0948838 + 0.415713i
\(569\) 11560.5 5567.25i 0.851743 0.410178i 0.0435189 0.999053i \(-0.486143\pi\)
0.808224 + 0.588875i \(0.200429\pi\)
\(570\) 2115.46 9268.44i 0.155451 0.681074i
\(571\) 6202.14 7777.24i 0.454556 0.569995i −0.500758 0.865587i \(-0.666945\pi\)
0.955314 + 0.295592i \(0.0955169\pi\)
\(572\) −19880.1 9573.73i −1.45319 0.699821i
\(573\) −8290.20 + 10395.6i −0.604412 + 0.757909i
\(574\) −1769.36 7752.07i −0.128661 0.563702i
\(575\) −2440.96 + 1175.50i −0.177035 + 0.0852555i
\(576\) 6222.14 2996.43i 0.450097 0.216755i
\(577\) −811.426 1017.50i −0.0585443 0.0734123i 0.751697 0.659508i \(-0.229236\pi\)
−0.810242 + 0.586096i \(0.800664\pi\)
\(578\) −3668.09 16071.0i −0.263966 1.15651i
\(579\) −6514.93 + 28543.8i −0.467619 + 2.04877i
\(580\) −4015.29 5035.01i −0.287458 0.360461i
\(581\) −6265.62 7856.84i −0.447404 0.561027i
\(582\) −8007.34 + 35082.5i −0.570301 + 2.49865i
\(583\) 7733.01 + 33880.5i 0.549346 + 2.40684i
\(584\) 2730.24 + 3423.61i 0.193455 + 0.242585i
\(585\) −32332.6 + 15570.6i −2.28511 + 1.10045i
\(586\) −15802.2 + 7609.95i −1.11397 + 0.536458i
\(587\) −2030.63 8896.76i −0.142782 0.625568i −0.994782 0.102026i \(-0.967467\pi\)
0.852000 0.523542i \(-0.175390\pi\)
\(588\) −13543.2 + 16982.6i −0.949851 + 1.19108i
\(589\) −368.917 177.661i −0.0258081 0.0124285i
\(590\) 5351.07 6710.02i 0.373390 0.468216i
\(591\) 5258.78 23040.2i 0.366019 1.60363i
\(592\) −1666.22 + 802.407i −0.115677 + 0.0557073i
\(593\) 4639.21 20325.7i 0.321264 1.40755i −0.514043 0.857764i \(-0.671853\pi\)
0.835307 0.549784i \(-0.185290\pi\)
\(594\) 21649.9 + 10426.0i 1.49546 + 0.720176i
\(595\) −7345.80 −0.506132
\(596\) 2720.73 0.186989
\(597\) 13212.1 + 6362.60i 0.905752 + 0.436187i
\(598\) −6035.13 26441.6i −0.412700 1.80816i
\(599\) −495.194 620.954i −0.0337781 0.0423564i 0.764656 0.644439i \(-0.222909\pi\)
−0.798434 + 0.602083i \(0.794338\pi\)
\(600\) −1203.51 + 1509.15i −0.0818883 + 0.102685i
\(601\) 1489.20 0.101075 0.0505373 0.998722i \(-0.483907\pi\)
0.0505373 + 0.998722i \(0.483907\pi\)
\(602\) −15331.1 + 25391.7i −1.03796 + 1.71909i
\(603\) −25546.8 −1.72528
\(604\) −11438.7 + 14343.6i −0.770585 + 0.966282i
\(605\) −13707.3 17188.4i −0.921125 1.15505i
\(606\) 13469.3 + 59012.7i 0.902891 + 3.95582i
\(607\) −18876.4 9090.38i −1.26222 0.607854i −0.321460 0.946923i \(-0.604174\pi\)
−0.940761 + 0.339069i \(0.889888\pi\)
\(608\) 5441.86 0.362987
\(609\) −22180.2 −1.47584
\(610\) 15148.3 + 7295.03i 1.00547 + 0.484208i
\(611\) −87.7978 + 384.667i −0.00581329 + 0.0254697i
\(612\) −4319.89 + 2080.35i −0.285329 + 0.137407i
\(613\) 3888.19 17035.3i 0.256187 1.12243i −0.669104 0.743168i \(-0.733322\pi\)
0.925291 0.379258i \(-0.123821\pi\)
\(614\) 18584.8 23304.6i 1.22153 1.53176i
\(615\) 6910.96 + 3328.14i 0.453133 + 0.218217i
\(616\) −8907.30 + 11169.4i −0.582606 + 0.730565i
\(617\) 1112.71 + 4875.11i 0.0726031 + 0.318095i 0.998169 0.0604924i \(-0.0192671\pi\)
−0.925566 + 0.378587i \(0.876410\pi\)
\(618\) 11312.0 5447.55i 0.736300 0.354584i
\(619\) −7554.77 + 3638.18i −0.490552 + 0.236237i −0.662772 0.748821i \(-0.730620\pi\)
0.172220 + 0.985058i \(0.444906\pi\)
\(620\) −687.098 861.593i −0.0445073 0.0558104i
\(621\) 2697.28 + 11817.6i 0.174297 + 0.763643i
\(622\) 1716.36 7519.87i 0.110643 0.484758i
\(623\) −7650.03 9592.84i −0.491962 0.616900i
\(624\) −28315.2 35506.2i −1.81653 2.27786i
\(625\) 4051.37 17750.2i 0.259288 1.13601i
\(626\) 4700.03 + 20592.2i 0.300081 + 1.31474i
\(627\) 7311.37 + 9168.17i 0.465691 + 0.583958i
\(628\) 2815.18 1355.72i 0.178882 0.0861450i
\(629\) 449.659 216.544i 0.0285041 0.0137268i
\(630\) −11840.0 51874.4i −0.748756 3.28052i
\(631\) 11766.7 14754.9i 0.742352 0.930880i −0.257017 0.966407i \(-0.582740\pi\)
0.999369 + 0.0355271i \(0.0113110\pi\)
\(632\) 8961.44 + 4315.60i 0.564030 + 0.271622i
\(633\) 26389.1 33090.9i 1.65699 2.07780i
\(634\) −7827.56 + 34294.8i −0.490334 + 2.14830i
\(635\) −21002.7 + 10114.4i −1.31255 + 0.632090i
\(636\) 6364.55 27884.9i 0.396809 1.73854i
\(637\) 30205.0 + 14546.0i 1.87875 + 0.904760i
\(638\) 19356.2 1.20113
\(639\) 26518.1 1.64169
\(640\) −12110.9 5832.30i −0.748008 0.360222i
\(641\) 331.171 + 1450.96i 0.0204064 + 0.0894061i 0.984106 0.177584i \(-0.0568281\pi\)
−0.963699 + 0.266990i \(0.913971\pi\)
\(642\) 907.384 + 1137.82i 0.0557813 + 0.0699476i
\(643\) 2621.18 3286.85i 0.160761 0.201587i −0.694927 0.719080i \(-0.744563\pi\)
0.855687 + 0.517493i \(0.173135\pi\)
\(644\) 16503.2 1.00981
\(645\) −9929.69 26835.3i −0.606172 1.63820i
\(646\) −1960.39 −0.119397
\(647\) −11961.8 + 14999.6i −0.726842 + 0.911431i −0.998703 0.0509055i \(-0.983789\pi\)
0.271862 + 0.962336i \(0.412361\pi\)
\(648\) −819.848 1028.06i −0.0497017 0.0623239i
\(649\) 2355.69 + 10320.9i 0.142479 + 0.624241i
\(650\) −6146.76 2960.12i −0.370917 0.178624i
\(651\) −3795.48 −0.228505
\(652\) 3605.00 0.216538
\(653\) −17035.0 8203.64i −1.02088 0.491629i −0.152905 0.988241i \(-0.548863\pi\)
−0.867972 + 0.496612i \(0.834577\pi\)
\(654\) −4634.40 + 20304.6i −0.277094 + 1.21403i
\(655\) −639.777 + 308.100i −0.0381651 + 0.0183794i
\(656\) −1304.24 + 5714.24i −0.0776249 + 0.340097i
\(657\) 12542.9 15728.4i 0.744820 0.933975i
\(658\) −527.074 253.826i −0.0312272 0.0150382i
\(659\) 15425.7 19343.2i 0.911833 1.14340i −0.0773917 0.997001i \(-0.524659\pi\)
0.989225 0.146402i \(-0.0467694\pi\)
\(660\) 7022.82 + 30769.0i 0.414186 + 1.81467i
\(661\) −10647.5 + 5127.55i −0.626534 + 0.301723i −0.720079 0.693892i \(-0.755894\pi\)
0.0935450 + 0.995615i \(0.470180\pi\)
\(662\) −4078.64 + 1964.17i −0.239458 + 0.115317i
\(663\) 7641.38 + 9581.99i 0.447612 + 0.561287i
\(664\) 701.358 + 3072.85i 0.0409909 + 0.179593i
\(665\) 1986.70 8704.32i 0.115851 0.507577i
\(666\) 2253.95 + 2826.36i 0.131139 + 0.164443i
\(667\) 6087.80 + 7633.86i 0.353404 + 0.443155i
\(668\) −3226.77 + 14137.4i −0.186897 + 0.818851i
\(669\) −1024.53 4488.77i −0.0592088 0.259411i
\(670\) −17527.3 21978.6i −1.01066 1.26732i
\(671\) −18685.2 + 8998.34i −1.07502 + 0.517701i
\(672\) 45447.0 21886.1i 2.60886 1.25636i
\(673\) 2204.18 + 9657.13i 0.126248 + 0.553128i 0.998002 + 0.0631842i \(0.0201256\pi\)
−0.871754 + 0.489944i \(0.837017\pi\)
\(674\) 6635.61 8320.79i 0.379220 0.475526i
\(675\) 2747.17 + 1322.97i 0.156650 + 0.0754386i
\(676\) 9847.99 12349.0i 0.560309 0.702605i
\(677\) 259.310 1136.11i 0.0147210 0.0644969i −0.967034 0.254648i \(-0.918041\pi\)
0.981755 + 0.190151i \(0.0608977\pi\)
\(678\) 13789.2 6640.53i 0.781078 0.376147i
\(679\) −7519.98 + 32947.2i −0.425023 + 1.86215i
\(680\) 2075.79 + 999.647i 0.117063 + 0.0563746i
\(681\) −24752.7 −1.39284
\(682\) 3312.25 0.185971
\(683\) −6207.40 2989.33i −0.347759 0.167472i 0.251847 0.967767i \(-0.418962\pi\)
−0.599607 + 0.800295i \(0.704676\pi\)
\(684\) −1296.75 5681.45i −0.0724892 0.317596i
\(685\) 15944.8 + 19994.2i 0.889372 + 1.11524i
\(686\) −8495.67 + 10653.2i −0.472837 + 0.592919i
\(687\) −7812.35 −0.433857
\(688\) 18302.8 11960.0i 1.01422 0.662749i
\(689\) −44144.2 −2.44087
\(690\) −24186.8 + 30329.2i −1.33446 + 1.67335i
\(691\) −4243.79 5321.54i −0.233634 0.292968i 0.651169 0.758933i \(-0.274279\pi\)
−0.884803 + 0.465965i \(0.845707\pi\)
\(692\) −2439.83 10689.6i −0.134030 0.587222i
\(693\) 59132.4 + 28476.7i 3.24135 + 1.56095i
\(694\) 7132.13 0.390104
\(695\) 23803.5 1.29916
\(696\) 6267.71 + 3018.37i 0.341346 + 0.164384i
\(697\) 351.972 1542.09i 0.0191275 0.0838032i
\(698\) 6045.80 2911.50i 0.327846 0.157883i
\(699\) −1824.10 + 7991.90i −0.0987036 + 0.432449i
\(700\) 2588.32 3245.65i 0.139756 0.175248i
\(701\) −29185.6 14055.0i −1.57250 0.757278i −0.574385 0.818585i \(-0.694759\pi\)
−0.998119 + 0.0613073i \(0.980473\pi\)
\(702\) −19031.4 + 23864.6i −1.02321 + 1.28306i
\(703\) 134.979 + 591.383i 0.00724159 + 0.0317275i
\(704\) −8445.51 + 4067.14i −0.452134 + 0.217736i
\(705\) 508.458 244.861i 0.0271626 0.0130808i
\(706\) 1941.36 + 2434.39i 0.103490 + 0.129773i
\(707\) 12649.5 + 55421.0i 0.672889 + 2.94812i
\(708\) 1938.81 8494.50i 0.102917 0.450908i
\(709\) 3931.22 + 4929.60i 0.208237 + 0.261121i 0.874972 0.484174i \(-0.160880\pi\)
−0.666734 + 0.745295i \(0.732308\pi\)
\(710\) 18193.8 + 22814.3i 0.961690 + 1.20592i
\(711\) 10168.1 44549.2i 0.536332 2.34982i
\(712\) 856.325 + 3751.81i 0.0450732 + 0.197479i
\(713\) 1041.75 + 1306.31i 0.0547177 + 0.0686138i
\(714\) −16372.0 + 7884.33i −0.858132 + 0.413254i
\(715\) 43886.1 21134.4i 2.29545 1.10543i
\(716\) 1644.56 + 7205.31i 0.0858383 + 0.376082i
\(717\) 12455.6 15618.9i 0.648764 0.813524i
\(718\) −27877.3 13425.0i −1.44899 0.697794i
\(719\) −5465.74 + 6853.82i −0.283502 + 0.355500i −0.903108 0.429413i \(-0.858721\pi\)
0.619607 + 0.784912i \(0.287292\pi\)
\(720\) −8727.55 + 38237.9i −0.451745 + 1.97922i
\(721\) 10623.5 5115.99i 0.548736 0.264257i
\(722\) −5091.87 + 22308.9i −0.262465 + 1.14993i
\(723\) 431.444 + 207.773i 0.0221931 + 0.0106876i
\(724\) −13946.7 −0.715919
\(725\) 2456.13 0.125819
\(726\) −48998.7 23596.5i −2.50484 1.20627i
\(727\) −508.007 2225.72i −0.0259160 0.113545i 0.960315 0.278916i \(-0.0899751\pi\)
−0.986231 + 0.165371i \(0.947118\pi\)
\(728\) −11314.7 14188.1i −0.576029 0.722318i
\(729\) −19998.1 + 25076.8i −1.01601 + 1.27403i
\(730\) 22137.1 1.12237
\(731\) −4939.33 + 3227.63i −0.249915 + 0.163308i
\(732\) 17069.0 0.861869
\(733\) 7467.28 9363.67i 0.376276 0.471835i −0.557250 0.830345i \(-0.688144\pi\)
0.933526 + 0.358510i \(0.116715\pi\)
\(734\) 15859.1 + 19886.7i 0.797508 + 1.00004i
\(735\) −10670.2 46749.2i −0.535478 2.34608i
\(736\) −20006.5 9634.62i −1.00197 0.482523i
\(737\) 34675.5 1.73309
\(738\) 11457.2 0.571471
\(739\) −16801.3 8091.09i −0.836329 0.402755i −0.0338437 0.999427i \(-0.510775\pi\)
−0.802485 + 0.596673i \(0.796489\pi\)
\(740\) −363.277 + 1591.62i −0.0180464 + 0.0790664i
\(741\) −13420.7 + 6463.07i −0.665347 + 0.320414i
\(742\) 14564.4 63811.0i 0.720589 3.15711i
\(743\) 524.947 658.262i 0.0259198 0.0325024i −0.768703 0.639606i \(-0.779097\pi\)
0.794622 + 0.607104i \(0.207669\pi\)
\(744\) 1072.53 + 516.505i 0.0528508 + 0.0254516i
\(745\) −3744.77 + 4695.79i −0.184158 + 0.230927i
\(746\) −6894.94 30208.7i −0.338393 1.48260i
\(747\) 13046.0 6282.64i 0.638995 0.307724i
\(748\) 5863.53 2823.73i 0.286620 0.138029i
\(749\) 852.157 + 1068.57i 0.0415716 + 0.0521291i
\(750\) −8225.74 36039.3i −0.400482 1.75463i
\(751\) −5518.18 + 24176.7i −0.268124 + 1.17473i 0.644069 + 0.764967i \(0.277245\pi\)
−0.912193 + 0.409761i \(0.865612\pi\)
\(752\) 268.864 + 337.145i 0.0130378 + 0.0163489i
\(753\) 6608.51 + 8286.81i 0.319824 + 0.401047i
\(754\) −5471.26 + 23971.2i −0.264259 + 1.15780i
\(755\) −9012.11 39484.6i −0.434416 1.90330i
\(756\) −11580.3 14521.3i −0.557107 0.698591i
\(757\) 14585.2 7023.88i 0.700276 0.337235i −0.0496407 0.998767i \(-0.515808\pi\)
0.749917 + 0.661532i \(0.230093\pi\)
\(758\) 20285.7 9769.08i 0.972045 0.468112i
\(759\) −10647.7 46650.5i −0.509204 2.23097i
\(760\) −1745.93 + 2189.32i −0.0833308 + 0.104493i
\(761\) −3601.55 1734.41i −0.171558 0.0826182i 0.346134 0.938185i \(-0.387494\pi\)
−0.517692 + 0.855567i \(0.673209\pi\)
\(762\) −35954.1 + 45085.0i −1.70929 + 2.14338i
\(763\) −4352.33 + 19068.8i −0.206507 + 0.904766i
\(764\) −8080.69 + 3891.45i −0.382656 + 0.184277i
\(765\) 2355.29 10319.2i 0.111314 0.487700i
\(766\) 33239.2 + 16007.2i 1.56786 + 0.755042i
\(767\) −13447.5 −0.633066
\(768\) −44336.0 −2.08312
\(769\) −10286.1 4953.53i −0.482349 0.232287i 0.176876 0.984233i \(-0.443401\pi\)
−0.659224 + 0.751946i \(0.729115\pi\)
\(770\) 16070.8 + 70410.7i 0.752144 + 3.29536i
\(771\) 13320.8 + 16703.7i 0.622225 + 0.780245i
\(772\) −12313.2 + 15440.3i −0.574044 + 0.719829i
\(773\) −25632.5