Properties

Label 43.4.g.a.13.5
Level 43
Weight 4
Character 43.13
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 13.5
Character \(\chi\) \(=\) 43.13
Dual form 43.4.g.a.10.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.294103 + 1.28855i) q^{2} +(-1.69703 + 1.57462i) q^{3} +(5.63389 + 2.71314i) q^{4} +(1.82643 + 0.275290i) q^{5} +(-1.52987 - 2.64981i) q^{6} +(-11.2969 + 19.5668i) q^{7} +(-11.7454 + 14.7283i) q^{8} +(-1.61721 + 21.5801i) q^{9} +O(q^{10})\) \(q+(-0.294103 + 1.28855i) q^{2} +(-1.69703 + 1.57462i) q^{3} +(5.63389 + 2.71314i) q^{4} +(1.82643 + 0.275290i) q^{5} +(-1.52987 - 2.64981i) q^{6} +(-11.2969 + 19.5668i) q^{7} +(-11.7454 + 14.7283i) q^{8} +(-1.61721 + 21.5801i) q^{9} +(-0.891883 + 2.27248i) q^{10} +(51.6605 - 24.8784i) q^{11} +(-13.8331 + 4.26694i) q^{12} +(-17.9273 - 45.6779i) q^{13} +(-21.8904 - 20.3113i) q^{14} +(-3.53300 + 2.40876i) q^{15} +(15.6665 + 19.6451i) q^{16} +(39.1160 - 5.89579i) q^{17} +(-27.3314 - 8.43063i) q^{18} +(-9.44760 - 126.070i) q^{19} +(9.54302 + 6.50632i) q^{20} +(-11.6390 - 50.9939i) q^{21} +(16.8635 + 73.8838i) q^{22} +(126.479 + 86.2318i) q^{23} +(-3.25904 - 43.4889i) q^{24} +(-116.187 - 35.8388i) q^{25} +(64.1306 - 9.66614i) q^{26} +(-70.2077 - 88.0377i) q^{27} +(-116.733 + 79.5873i) q^{28} +(-6.72625 - 6.24105i) q^{29} +(-2.06473 - 5.26085i) q^{30} +(265.819 - 81.9944i) q^{31} +(-165.702 + 79.7979i) q^{32} +(-48.4957 + 123.565i) q^{33} +(-3.90712 + 52.1368i) q^{34} +(-26.0196 + 32.6276i) q^{35} +(-67.6611 + 117.192i) q^{36} +(-11.4741 - 19.8738i) q^{37} +(165.225 + 24.9037i) q^{38} +(102.348 + 49.2884i) q^{39} +(-25.5067 + 23.6668i) q^{40} +(-58.5363 + 256.464i) q^{41} +69.1312 q^{42} +(-280.564 - 28.1244i) q^{43} +358.548 q^{44} +(-8.89453 + 38.9695i) q^{45} +(-148.312 + 137.613i) q^{46} +(61.6290 + 29.6789i) q^{47} +(-57.5201 - 8.66976i) q^{48} +(-83.7408 - 145.043i) q^{49} +(80.3508 - 139.172i) q^{50} +(-57.0976 + 71.5982i) q^{51} +(22.9303 - 305.984i) q^{52} +(113.001 - 287.922i) q^{53} +(134.089 - 64.5739i) q^{54} +(101.203 - 31.2170i) q^{55} +(-155.499 - 396.205i) q^{56} +(214.544 + 199.068i) q^{57} +(10.0201 - 6.83159i) q^{58} +(-120.075 - 150.569i) q^{59} +(-26.4398 + 3.98516i) q^{60} +(-209.318 - 64.5661i) q^{61} +(27.4755 + 366.636i) q^{62} +(-403.986 - 275.433i) q^{63} +(-9.35965 - 41.0073i) q^{64} +(-20.1682 - 88.3628i) q^{65} +(-144.957 - 98.8298i) q^{66} +(18.7623 + 250.366i) q^{67} +(236.372 + 72.9110i) q^{68} +(-350.421 + 52.8175i) q^{69} +(-34.3897 - 43.1234i) q^{70} +(776.353 - 529.309i) q^{71} +(-298.844 - 277.286i) q^{72} +(124.796 + 317.976i) q^{73} +(28.9829 - 8.94004i) q^{74} +(253.605 - 122.130i) q^{75} +(288.817 - 735.895i) q^{76} +(-96.8131 + 1291.88i) q^{77} +(-93.6114 + 117.385i) q^{78} +(-435.151 + 753.704i) q^{79} +(23.2056 + 40.1933i) q^{80} +(-320.001 - 48.2324i) q^{81} +(-313.251 - 150.854i) q^{82} +(710.989 - 659.702i) q^{83} +(72.7806 - 318.873i) q^{84} +73.0658 q^{85} +(118.754 - 353.248i) q^{86} +21.2420 q^{87} +(-240.358 + 1053.08i) q^{88} +(-320.794 + 297.653i) q^{89} +(-47.5981 - 22.9220i) q^{90} +(1096.30 + 165.240i) q^{91} +(478.609 + 828.976i) q^{92} +(-321.995 + 557.711i) q^{93} +(-56.3680 + 70.6832i) q^{94} +(17.4503 - 232.858i) q^{95} +(155.551 - 396.337i) q^{96} +(-889.751 + 428.482i) q^{97} +(211.524 - 65.2464i) q^{98} +(453.333 + 1155.07i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.294103 + 1.28855i −0.103981 + 0.455570i 0.895954 + 0.444147i \(0.146493\pi\)
−0.999935 + 0.0114231i \(0.996364\pi\)
\(3\) −1.69703 + 1.57462i −0.326594 + 0.303035i −0.826379 0.563114i \(-0.809603\pi\)
0.499784 + 0.866150i \(0.333413\pi\)
\(4\) 5.63389 + 2.71314i 0.704237 + 0.339142i
\(5\) 1.82643 + 0.275290i 0.163361 + 0.0246227i 0.230213 0.973140i \(-0.426058\pi\)
−0.0668524 + 0.997763i \(0.521296\pi\)
\(6\) −1.52987 2.64981i −0.104094 0.180297i
\(7\) −11.2969 + 19.5668i −0.609976 + 1.05651i 0.381267 + 0.924465i \(0.375488\pi\)
−0.991244 + 0.132045i \(0.957846\pi\)
\(8\) −11.7454 + 14.7283i −0.519079 + 0.650904i
\(9\) −1.61721 + 21.5801i −0.0598966 + 0.799264i
\(10\) −0.891883 + 2.27248i −0.0282038 + 0.0718622i
\(11\) 51.6605 24.8784i 1.41602 0.681920i 0.439679 0.898155i \(-0.355092\pi\)
0.976341 + 0.216235i \(0.0693778\pi\)
\(12\) −13.8331 + 4.26694i −0.332772 + 0.102647i
\(13\) −17.9273 45.6779i −0.382471 0.974521i −0.984396 0.175968i \(-0.943694\pi\)
0.601924 0.798553i \(-0.294401\pi\)
\(14\) −21.8904 20.3113i −0.417889 0.387744i
\(15\) −3.53300 + 2.40876i −0.0608144 + 0.0414625i
\(16\) 15.6665 + 19.6451i 0.244788 + 0.306955i
\(17\) 39.1160 5.89579i 0.558061 0.0841141i 0.136045 0.990703i \(-0.456561\pi\)
0.422016 + 0.906589i \(0.361323\pi\)
\(18\) −27.3314 8.43063i −0.357893 0.110395i
\(19\) −9.44760 126.070i −0.114075 1.52223i −0.701336 0.712830i \(-0.747413\pi\)
0.587261 0.809397i \(-0.300206\pi\)
\(20\) 9.54302 + 6.50632i 0.106694 + 0.0727429i
\(21\) −11.6390 50.9939i −0.120945 0.529895i
\(22\) 16.8635 + 73.8838i 0.163423 + 0.716004i
\(23\) 126.479 + 86.2318i 1.14664 + 0.781764i 0.978955 0.204077i \(-0.0654192\pi\)
0.167683 + 0.985841i \(0.446372\pi\)
\(24\) −3.25904 43.4889i −0.0277187 0.369881i
\(25\) −116.187 35.8388i −0.929492 0.286710i
\(26\) 64.1306 9.66614i 0.483733 0.0729110i
\(27\) −70.2077 88.0377i −0.500425 0.627513i
\(28\) −116.733 + 79.5873i −0.787875 + 0.537164i
\(29\) −6.72625 6.24105i −0.0430701 0.0399632i 0.658344 0.752717i \(-0.271257\pi\)
−0.701414 + 0.712754i \(0.747448\pi\)
\(30\) −2.06473 5.26085i −0.0125656 0.0320165i
\(31\) 265.819 81.9944i 1.54008 0.475053i 0.595508 0.803349i \(-0.296951\pi\)
0.944575 + 0.328297i \(0.106475\pi\)
\(32\) −165.702 + 79.7979i −0.915383 + 0.440825i
\(33\) −48.4957 + 123.565i −0.255819 + 0.651815i
\(34\) −3.90712 + 52.1368i −0.0197078 + 0.262982i
\(35\) −26.0196 + 32.6276i −0.125661 + 0.157573i
\(36\) −67.6611 + 117.192i −0.313246 + 0.542558i
\(37\) −11.4741 19.8738i −0.0509821 0.0883035i 0.839408 0.543502i \(-0.182902\pi\)
−0.890390 + 0.455198i \(0.849568\pi\)
\(38\) 165.225 + 24.9037i 0.705344 + 0.106313i
\(39\) 102.348 + 49.2884i 0.420228 + 0.202371i
\(40\) −25.5067 + 23.6668i −0.100824 + 0.0935513i
\(41\) −58.5363 + 256.464i −0.222972 + 0.976903i 0.732256 + 0.681030i \(0.238468\pi\)
−0.955227 + 0.295873i \(0.904389\pi\)
\(42\) 69.1312 0.253980
\(43\) −280.564 28.1244i −0.995013 0.0997427i
\(44\) 358.548 1.22848
\(45\) −8.89453 + 38.9695i −0.0294648 + 0.129094i
\(46\) −148.312 + 137.613i −0.475377 + 0.441086i
\(47\) 61.6290 + 29.6789i 0.191266 + 0.0921089i 0.527066 0.849825i \(-0.323292\pi\)
−0.335800 + 0.941933i \(0.609006\pi\)
\(48\) −57.5201 8.66976i −0.172965 0.0260702i
\(49\) −83.7408 145.043i −0.244142 0.422867i
\(50\) 80.3508 139.172i 0.227266 0.393637i
\(51\) −57.0976 + 71.5982i −0.156770 + 0.196583i
\(52\) 22.9303 305.984i 0.0611512 0.816006i
\(53\) 113.001 287.922i 0.292866 0.746209i −0.706397 0.707816i \(-0.749681\pi\)
0.999263 0.0383935i \(-0.0122240\pi\)
\(54\) 134.089 64.5739i 0.337911 0.162729i
\(55\) 101.203 31.2170i 0.248113 0.0765328i
\(56\) −155.499 396.205i −0.371061 0.945448i
\(57\) 214.544 + 199.068i 0.498545 + 0.462582i
\(58\) 10.0201 6.83159i 0.0226845 0.0154661i
\(59\) −120.075 150.569i −0.264956 0.332244i 0.631501 0.775375i \(-0.282439\pi\)
−0.896457 + 0.443131i \(0.853868\pi\)
\(60\) −26.4398 + 3.98516i −0.0568894 + 0.00857470i
\(61\) −209.318 64.5661i −0.439352 0.135522i 0.0671848 0.997741i \(-0.478598\pi\)
−0.506537 + 0.862218i \(0.669074\pi\)
\(62\) 27.4755 + 366.636i 0.0562806 + 0.751012i
\(63\) −403.986 275.433i −0.807895 0.550814i
\(64\) −9.35965 41.0073i −0.0182806 0.0800924i
\(65\) −20.1682 88.3628i −0.0384856 0.168616i
\(66\) −144.957 98.8298i −0.270348 0.184320i
\(67\) 18.7623 + 250.366i 0.0342117 + 0.456523i 0.987833 + 0.155516i \(0.0497039\pi\)
−0.953622 + 0.301008i \(0.902677\pi\)
\(68\) 236.372 + 72.9110i 0.421533 + 0.130026i
\(69\) −350.421 + 52.8175i −0.611388 + 0.0921519i
\(70\) −34.3897 43.1234i −0.0587194 0.0736318i
\(71\) 776.353 529.309i 1.29769 0.884752i 0.300087 0.953912i \(-0.402984\pi\)
0.997606 + 0.0691603i \(0.0220320\pi\)
\(72\) −298.844 277.286i −0.489153 0.453868i
\(73\) 124.796 + 317.976i 0.200086 + 0.509811i 0.995336 0.0964708i \(-0.0307554\pi\)
−0.795250 + 0.606282i \(0.792660\pi\)
\(74\) 28.9829 8.94004i 0.0455296 0.0140440i
\(75\) 253.605 122.130i 0.390450 0.188031i
\(76\) 288.817 735.895i 0.435916 1.11070i
\(77\) −96.8131 + 1291.88i −0.143284 + 1.91199i
\(78\) −93.6114 + 117.385i −0.135890 + 0.170400i
\(79\) −435.151 + 753.704i −0.619725 + 1.07340i 0.369810 + 0.929107i \(0.379423\pi\)
−0.989536 + 0.144289i \(0.953911\pi\)
\(80\) 23.2056 + 40.1933i 0.0324308 + 0.0561719i
\(81\) −320.001 48.2324i −0.438959 0.0661624i
\(82\) −313.251 150.854i −0.421863 0.203159i
\(83\) 710.989 659.702i 0.940256 0.872430i −0.0517453 0.998660i \(-0.516478\pi\)
0.992001 + 0.126231i \(0.0402879\pi\)
\(84\) 72.7806 318.873i 0.0945359 0.414189i
\(85\) 73.0658 0.0932365
\(86\) 118.754 353.248i 0.148902 0.442927i
\(87\) 21.2420 0.0261767
\(88\) −240.358 + 1053.08i −0.291162 + 1.27566i
\(89\) −320.794 + 297.653i −0.382068 + 0.354507i −0.847705 0.530469i \(-0.822016\pi\)
0.465636 + 0.884976i \(0.345825\pi\)
\(90\) −47.5981 22.9220i −0.0557476 0.0268466i
\(91\) 1096.30 + 165.240i 1.26289 + 0.190350i
\(92\) 478.609 + 828.976i 0.542375 + 0.939421i
\(93\) −321.995 + 557.711i −0.359025 + 0.621849i
\(94\) −56.3680 + 70.6832i −0.0618501 + 0.0775576i
\(95\) 17.4503 232.858i 0.0188459 0.251482i
\(96\) 155.551 396.337i 0.165373 0.421365i
\(97\) −889.751 + 428.482i −0.931346 + 0.448513i −0.837108 0.547037i \(-0.815756\pi\)
−0.0942377 + 0.995550i \(0.530041\pi\)
\(98\) 211.524 65.2464i 0.218032 0.0672539i
\(99\) 453.333 + 1155.07i 0.460219 + 1.17262i
\(100\) −557.347 517.142i −0.557347 0.517142i
\(101\) −463.523 + 316.025i −0.456656 + 0.311343i −0.769711 0.638392i \(-0.779600\pi\)
0.313055 + 0.949735i \(0.398647\pi\)
\(102\) −75.4651 94.6302i −0.0732564 0.0918607i
\(103\) −476.762 + 71.8603i −0.456085 + 0.0687438i −0.373067 0.927804i \(-0.621694\pi\)
−0.0830179 + 0.996548i \(0.526456\pi\)
\(104\) 883.320 + 272.468i 0.832853 + 0.256901i
\(105\) −7.21976 96.3411i −0.00671026 0.0895421i
\(106\) 337.767 + 230.286i 0.309498 + 0.211012i
\(107\) −166.964 731.518i −0.150851 0.660921i −0.992639 0.121113i \(-0.961354\pi\)
0.841788 0.539808i \(-0.181503\pi\)
\(108\) −156.684 686.478i −0.139601 0.611633i
\(109\) −1028.76 701.398i −0.904014 0.616346i 0.0195423 0.999809i \(-0.493779\pi\)
−0.923556 + 0.383463i \(0.874731\pi\)
\(110\) 10.4605 + 139.586i 0.00906703 + 0.120991i
\(111\) 50.7656 + 15.6591i 0.0434095 + 0.0133901i
\(112\) −561.376 + 84.6138i −0.473616 + 0.0713862i
\(113\) −794.679 996.496i −0.661568 0.829579i 0.331945 0.943299i \(-0.392295\pi\)
−0.993513 + 0.113719i \(0.963724\pi\)
\(114\) −319.607 + 217.904i −0.262578 + 0.179023i
\(115\) 207.266 + 192.315i 0.168067 + 0.155943i
\(116\) −20.9621 53.4107i −0.0167783 0.0427505i
\(117\) 1014.73 313.002i 0.801809 0.247325i
\(118\) 229.329 110.439i 0.178911 0.0861589i
\(119\) −326.529 + 831.981i −0.251536 + 0.640904i
\(120\) 6.01966 80.3268i 0.00457931 0.0611066i
\(121\) 1220.01 1529.84i 0.916610 1.14939i
\(122\) 144.758 250.727i 0.107424 0.186064i
\(123\) −304.495 527.401i −0.223215 0.386619i
\(124\) 1720.06 + 259.257i 1.24569 + 0.187758i
\(125\) −410.359 197.618i −0.293629 0.141404i
\(126\) 473.721 439.549i 0.334940 0.310779i
\(127\) 149.464 654.846i 0.104432 0.457545i −0.895491 0.445080i \(-0.853175\pi\)
0.999922 0.0124647i \(-0.00396775\pi\)
\(128\) −1415.73 −0.977610
\(129\) 520.412 394.053i 0.355191 0.268949i
\(130\) 119.791 0.0808184
\(131\) 536.188 2349.19i 0.357610 1.56679i −0.401518 0.915851i \(-0.631517\pi\)
0.759128 0.650941i \(-0.225626\pi\)
\(132\) −608.469 + 564.576i −0.401215 + 0.372273i
\(133\) 2573.51 + 1239.34i 1.67783 + 0.808001i
\(134\) −328.126 49.4571i −0.211536 0.0318839i
\(135\) −103.994 180.122i −0.0662989 0.114833i
\(136\) −372.599 + 645.360i −0.234927 + 0.406906i
\(137\) −1496.81 + 1876.94i −0.933438 + 1.17049i 0.0516881 + 0.998663i \(0.483540\pi\)
−0.985126 + 0.171831i \(0.945032\pi\)
\(138\) 35.0019 467.068i 0.0215910 0.288112i
\(139\) 123.954 315.830i 0.0756379 0.192722i −0.888054 0.459739i \(-0.847943\pi\)
0.963692 + 0.267017i \(0.0860380\pi\)
\(140\) −235.115 + 113.225i −0.141935 + 0.0683521i
\(141\) −151.319 + 46.6759i −0.0903787 + 0.0278781i
\(142\) 453.712 + 1156.04i 0.268131 + 0.683188i
\(143\) −2062.52 1913.74i −1.20613 1.11913i
\(144\) −449.280 + 306.314i −0.260000 + 0.177265i
\(145\) −10.5669 13.2505i −0.00605198 0.00758894i
\(146\) −446.430 + 67.2884i −0.253060 + 0.0381427i
\(147\) 370.499 + 114.284i 0.207879 + 0.0641222i
\(148\) −10.7237 143.098i −0.00595596 0.0794767i
\(149\) 1255.54 + 856.013i 0.690321 + 0.470653i 0.856972 0.515363i \(-0.172343\pi\)
−0.166651 + 0.986016i \(0.553295\pi\)
\(150\) 82.7841 + 362.701i 0.0450619 + 0.197429i
\(151\) −566.092 2480.21i −0.305086 1.33667i −0.862342 0.506326i \(-0.831003\pi\)
0.557256 0.830340i \(-0.311854\pi\)
\(152\) 1967.75 + 1341.59i 1.05004 + 0.715904i
\(153\) 63.9733 + 853.664i 0.0338035 + 0.451076i
\(154\) −1636.18 504.694i −0.856149 0.264087i
\(155\) 508.073 76.5797i 0.263287 0.0396841i
\(156\) 442.894 + 555.371i 0.227307 + 0.285034i
\(157\) 461.324 314.526i 0.234508 0.159885i −0.440365 0.897819i \(-0.645151\pi\)
0.674873 + 0.737934i \(0.264199\pi\)
\(158\) −843.204 782.379i −0.424568 0.393941i
\(159\) 261.600 + 666.546i 0.130480 + 0.332456i
\(160\) −324.611 + 100.129i −0.160392 + 0.0494745i
\(161\) −3116.11 + 1500.64i −1.52536 + 0.734576i
\(162\) 156.263 398.151i 0.0757850 0.193097i
\(163\) −286.524 + 3823.40i −0.137683 + 1.83725i 0.319160 + 0.947701i \(0.396599\pi\)
−0.456843 + 0.889547i \(0.651020\pi\)
\(164\) −1025.61 + 1286.08i −0.488334 + 0.612352i
\(165\) −122.590 + 212.333i −0.0578403 + 0.100182i
\(166\) 640.953 + 1110.16i 0.299684 + 0.519069i
\(167\) 1028.54 + 155.028i 0.476593 + 0.0718349i 0.382946 0.923771i \(-0.374909\pi\)
0.0936470 + 0.995605i \(0.470147\pi\)
\(168\) 887.758 + 427.522i 0.407691 + 0.196333i
\(169\) −154.572 + 143.421i −0.0703557 + 0.0652806i
\(170\) −21.4889 + 94.1488i −0.00969482 + 0.0424758i
\(171\) 2735.88 1.22350
\(172\) −1504.36 919.659i −0.666898 0.407694i
\(173\) −463.564 −0.203723 −0.101862 0.994799i \(-0.532480\pi\)
−0.101862 + 0.994799i \(0.532480\pi\)
\(174\) −6.24731 + 27.3713i −0.00272188 + 0.0119254i
\(175\) 2013.80 1868.53i 0.869881 0.807131i
\(176\) 1298.08 + 625.121i 0.555944 + 0.267729i
\(177\) 440.859 + 66.4488i 0.187215 + 0.0282181i
\(178\) −289.194 500.898i −0.121775 0.210921i
\(179\) −1700.89 + 2946.03i −0.710228 + 1.23015i 0.254544 + 0.967061i \(0.418075\pi\)
−0.964772 + 0.263089i \(0.915259\pi\)
\(180\) −155.840 + 195.418i −0.0645314 + 0.0809198i
\(181\) 298.928 3988.92i 0.122758 1.63809i −0.507463 0.861674i \(-0.669416\pi\)
0.630221 0.776416i \(-0.282964\pi\)
\(182\) −535.343 + 1364.03i −0.218034 + 0.555543i
\(183\) 456.887 220.025i 0.184558 0.0888783i
\(184\) −2755.59 + 849.988i −1.10405 + 0.340554i
\(185\) −15.4857 39.4568i −0.00615421 0.0156807i
\(186\) −623.938 578.930i −0.245964 0.228221i
\(187\) 1874.08 1277.72i 0.732866 0.499660i
\(188\) 266.688 + 334.416i 0.103459 + 0.129733i
\(189\) 2515.75 379.188i 0.968221 0.145936i
\(190\) 294.917 + 90.9698i 0.112608 + 0.0347350i
\(191\) −134.764 1798.30i −0.0510533 0.681259i −0.962750 0.270394i \(-0.912846\pi\)
0.911696 0.410864i \(-0.134773\pi\)
\(192\) 80.4544 + 54.8529i 0.0302411 + 0.0206181i
\(193\) −67.7521 296.841i −0.0252689 0.110710i 0.960721 0.277517i \(-0.0895115\pi\)
−0.985990 + 0.166807i \(0.946654\pi\)
\(194\) −290.441 1272.50i −0.107487 0.470930i
\(195\) 173.364 + 118.198i 0.0636659 + 0.0434067i
\(196\) −78.2638 1044.36i −0.0285218 0.380597i
\(197\) −1721.94 531.147i −0.622756 0.192095i −0.0327107 0.999465i \(-0.510414\pi\)
−0.590045 + 0.807370i \(0.700890\pi\)
\(198\) −1621.69 + 244.431i −0.582065 + 0.0877322i
\(199\) 1751.87 + 2196.77i 0.624053 + 0.782537i 0.988908 0.148527i \(-0.0474531\pi\)
−0.364856 + 0.931064i \(0.618882\pi\)
\(200\) 1892.50 1290.29i 0.669101 0.456185i
\(201\) −426.071 395.336i −0.149516 0.138731i
\(202\) −270.889 690.215i −0.0943550 0.240413i
\(203\) 198.104 61.1069i 0.0684933 0.0211274i
\(204\) −515.938 + 248.462i −0.177073 + 0.0852738i
\(205\) −177.515 + 452.301i −0.0604789 + 0.154098i
\(206\) 47.6215 635.465i 0.0161065 0.214927i
\(207\) −2065.44 + 2589.98i −0.693516 + 0.869642i
\(208\) 616.492 1067.79i 0.205510 0.355953i
\(209\) −3624.47 6277.77i −1.19957 2.07772i
\(210\) 126.263 + 19.0311i 0.0414905 + 0.00625369i
\(211\) 644.357 + 310.306i 0.210234 + 0.101243i 0.536038 0.844194i \(-0.319921\pi\)
−0.325804 + 0.945437i \(0.605635\pi\)
\(212\) 1417.81 1315.53i 0.459318 0.426185i
\(213\) −484.039 + 2120.71i −0.155708 + 0.682202i
\(214\) 991.701 0.316782
\(215\) −504.688 128.604i −0.160090 0.0407940i
\(216\) 2121.26 0.668211
\(217\) −1398.57 + 6127.53i −0.437516 + 1.91688i
\(218\) 1206.35 1119.33i 0.374789 0.347754i
\(219\) −712.474 343.109i −0.219838 0.105868i
\(220\) 654.864 + 98.7049i 0.200686 + 0.0302485i
\(221\) −970.551 1681.04i −0.295413 0.511671i
\(222\) −35.1078 + 60.8085i −0.0106139 + 0.0183838i
\(223\) 1428.08 1790.75i 0.428839 0.537747i −0.519724 0.854334i \(-0.673965\pi\)
0.948564 + 0.316587i \(0.102537\pi\)
\(224\) 310.530 4143.74i 0.0926257 1.23600i
\(225\) 961.304 2449.36i 0.284831 0.725737i
\(226\) 1517.75 730.910i 0.446722 0.215130i
\(227\) −4365.58 + 1346.60i −1.27645 + 0.393732i −0.857597 0.514323i \(-0.828043\pi\)
−0.418851 + 0.908055i \(0.637567\pi\)
\(228\) 668.620 + 1703.62i 0.194212 + 0.494845i
\(229\) 667.642 + 619.481i 0.192659 + 0.178762i 0.770604 0.637314i \(-0.219955\pi\)
−0.577945 + 0.816076i \(0.696145\pi\)
\(230\) −308.765 + 210.512i −0.0885189 + 0.0603511i
\(231\) −1869.92 2344.81i −0.532606 0.667867i
\(232\) 170.923 25.7624i 0.0483690 0.00729046i
\(233\) 4641.35 + 1431.67i 1.30500 + 0.402539i 0.867840 0.496844i \(-0.165508\pi\)
0.437161 + 0.899383i \(0.355984\pi\)
\(234\) 104.884 + 1399.58i 0.0293012 + 0.390998i
\(235\) 104.391 + 71.1724i 0.0289775 + 0.0197565i
\(236\) −267.973 1174.07i −0.0739134 0.323836i
\(237\) −448.329 1964.26i −0.122878 0.538364i
\(238\) −976.015 665.436i −0.265822 0.181234i
\(239\) 211.669 + 2824.52i 0.0572875 + 0.764449i 0.949687 + 0.313202i \(0.101402\pi\)
−0.892399 + 0.451247i \(0.850979\pi\)
\(240\) −102.670 31.6695i −0.0276138 0.00851773i
\(241\) −7009.47 + 1056.51i −1.87353 + 0.282389i −0.984489 0.175446i \(-0.943863\pi\)
−0.889037 + 0.457835i \(0.848625\pi\)
\(242\) 1612.47 + 2021.97i 0.428319 + 0.537095i
\(243\) 3131.03 2134.70i 0.826566 0.563543i
\(244\) −1004.10 931.668i −0.263446 0.244442i
\(245\) −113.018 287.965i −0.0294712 0.0750914i
\(246\) 769.135 237.247i 0.199342 0.0614890i
\(247\) −5589.22 + 2691.63i −1.43981 + 0.693377i
\(248\) −1914.52 + 4878.12i −0.490210 + 1.24904i
\(249\) −167.795 + 2239.07i −0.0427052 + 0.569861i
\(250\) 375.328 470.647i 0.0949514 0.119065i
\(251\) −3327.34 + 5763.12i −0.836732 + 1.44926i 0.0558800 + 0.998437i \(0.482204\pi\)
−0.892612 + 0.450825i \(0.851130\pi\)
\(252\) −1528.72 2647.83i −0.382145 0.661895i
\(253\) 8679.27 + 1308.19i 2.15676 + 0.325080i
\(254\) 799.843 + 385.184i 0.197585 + 0.0951520i
\(255\) −123.995 + 115.051i −0.0304505 + 0.0282540i
\(256\) 491.247 2152.30i 0.119933 0.525463i
\(257\) 5700.30 1.38356 0.691780 0.722108i \(-0.256827\pi\)
0.691780 + 0.722108i \(0.256827\pi\)
\(258\) 354.701 + 786.467i 0.0855920 + 0.189780i
\(259\) 518.490 0.124391
\(260\) 126.115 552.546i 0.0300820 0.131798i
\(261\) 145.561 135.060i 0.0345210 0.0320308i
\(262\) 2869.35 + 1381.81i 0.676600 + 0.325833i
\(263\) 3024.25 + 455.833i 0.709062 + 0.106874i 0.493664 0.869652i \(-0.335657\pi\)
0.215398 + 0.976526i \(0.430895\pi\)
\(264\) −1250.30 2165.58i −0.291479 0.504857i
\(265\) 285.651 494.761i 0.0662165 0.114690i
\(266\) −2353.82 + 2951.60i −0.542564 + 0.680354i
\(267\) 75.7081 1010.25i 0.0173530 0.231560i
\(268\) −573.572 + 1461.44i −0.130733 + 0.333103i
\(269\) 418.957 201.759i 0.0949600 0.0457303i −0.385801 0.922582i \(-0.626075\pi\)
0.480761 + 0.876852i \(0.340361\pi\)
\(270\) 262.681 81.0264i 0.0592084 0.0182634i
\(271\) 2104.64 + 5362.53i 0.471763 + 1.20203i 0.946730 + 0.322029i \(0.104365\pi\)
−0.474967 + 0.880004i \(0.657540\pi\)
\(272\) 728.633 + 676.073i 0.162426 + 0.150709i
\(273\) −2120.64 + 1445.83i −0.470136 + 0.320533i
\(274\) −1978.31 2480.72i −0.436183 0.546956i
\(275\) −6893.87 + 1039.08i −1.51169 + 0.227851i
\(276\) −2117.54 653.173i −0.461814 0.142451i
\(277\) 29.0828 + 388.083i 0.00630837 + 0.0841793i 0.999469 0.0325738i \(-0.0103704\pi\)
−0.993161 + 0.116753i \(0.962751\pi\)
\(278\) 370.507 + 252.608i 0.0799336 + 0.0544978i
\(279\) 1339.57 + 5869.02i 0.287447 + 1.25939i
\(280\) −174.937 766.448i −0.0373374 0.163586i
\(281\) 3773.28 + 2572.58i 0.801050 + 0.546147i 0.893232 0.449596i \(-0.148432\pi\)
−0.0921823 + 0.995742i \(0.529384\pi\)
\(282\) −15.6406 208.710i −0.00330279 0.0440727i
\(283\) −6051.19 1866.55i −1.27105 0.392066i −0.415406 0.909636i \(-0.636360\pi\)
−0.855641 + 0.517570i \(0.826837\pi\)
\(284\) 5809.98 875.713i 1.21394 0.182972i
\(285\) 337.049 + 422.646i 0.0700528 + 0.0878435i
\(286\) 3072.54 2094.82i 0.635256 0.433110i
\(287\) −4356.92 4042.63i −0.896100 0.831460i
\(288\) −1454.08 3704.92i −0.297508 0.758037i
\(289\) −3199.43 + 986.892i −0.651216 + 0.200874i
\(290\) 20.1817 9.71900i 0.00408659 0.00196800i
\(291\) 835.244 2128.17i 0.168257 0.428713i
\(292\) −159.624 + 2130.03i −0.0319906 + 0.426885i
\(293\) 3333.82 4180.47i 0.664722 0.833535i −0.329126 0.944286i \(-0.606754\pi\)
0.993848 + 0.110751i \(0.0353255\pi\)
\(294\) −256.225 + 443.794i −0.0508276 + 0.0880360i
\(295\) −177.858 308.059i −0.0351027 0.0607996i
\(296\) 427.475 + 64.4315i 0.0839408 + 0.0126520i
\(297\) −5817.20 2801.42i −1.13653 0.547322i
\(298\) −1472.27 + 1366.07i −0.286196 + 0.265551i
\(299\) 1671.47 7323.19i 0.323290 1.41643i
\(300\) 1760.14 0.338739
\(301\) 3719.81 5172.03i 0.712314 0.990401i
\(302\) 3362.36 0.640669
\(303\) 288.996 1266.18i 0.0547934 0.240066i
\(304\) 2328.64 2160.66i 0.439331 0.407640i
\(305\) −364.531 175.549i −0.0684360 0.0329571i
\(306\) −1118.80 168.632i −0.209012 0.0315035i
\(307\) 541.985 + 938.745i 0.100758 + 0.174518i 0.911997 0.410197i \(-0.134540\pi\)
−0.811239 + 0.584714i \(0.801207\pi\)
\(308\) −4050.49 + 7015.65i −0.749344 + 1.29790i
\(309\) 695.929 872.668i 0.128123 0.160661i
\(310\) −50.7490 + 677.199i −0.00929791 + 0.124072i
\(311\) 305.976 779.615i 0.0557888 0.142148i −0.900262 0.435348i \(-0.856625\pi\)
0.956051 + 0.293201i \(0.0947204\pi\)
\(312\) −1928.06 + 928.504i −0.349855 + 0.168481i
\(313\) 115.340 35.5775i 0.0208287 0.00642480i −0.284323 0.958728i \(-0.591769\pi\)
0.305152 + 0.952304i \(0.401293\pi\)
\(314\) 269.605 + 686.941i 0.0484544 + 0.123460i
\(315\) −662.028 614.273i −0.118416 0.109874i
\(316\) −4496.50 + 3065.66i −0.800467 + 0.545749i
\(317\) 2488.19 + 3120.10i 0.440855 + 0.552814i 0.951768 0.306818i \(-0.0992642\pi\)
−0.510914 + 0.859632i \(0.670693\pi\)
\(318\) −935.814 + 141.051i −0.165025 + 0.0248735i
\(319\) −502.749 155.078i −0.0882399 0.0272184i
\(320\) −5.80585 77.4737i −0.00101424 0.0135341i
\(321\) 1435.21 + 978.507i 0.249549 + 0.170140i
\(322\) −1017.19 4456.59i −0.176042 0.771293i
\(323\) −1112.83 4875.64i −0.191702 0.839900i
\(324\) −1671.99 1139.94i −0.286692 0.195464i
\(325\) 445.865 + 5949.65i 0.0760989 + 1.01547i
\(326\) −4842.36 1493.67i −0.822679 0.253763i
\(327\) 2850.28 429.610i 0.482021 0.0726529i
\(328\) −3089.75 3874.42i −0.520130 0.652223i
\(329\) −1276.94 + 870.603i −0.213982 + 0.145890i
\(330\) −237.547 220.411i −0.0396258 0.0367674i
\(331\) 1556.25 + 3965.27i 0.258427 + 0.658462i 0.999922 0.0124968i \(-0.00397796\pi\)
−0.741495 + 0.670959i \(0.765883\pi\)
\(332\) 5795.50 1787.67i 0.958040 0.295516i
\(333\) 447.435 215.473i 0.0736315 0.0354591i
\(334\) −502.258 + 1279.73i −0.0822825 + 0.209652i
\(335\) −34.6552 + 462.441i −0.00565198 + 0.0754205i
\(336\) 819.440 1027.54i 0.133048 0.166837i
\(337\) 5328.06 9228.47i 0.861240 1.49171i −0.00949306 0.999955i \(-0.503022\pi\)
0.870733 0.491756i \(-0.163645\pi\)
\(338\) −139.345 241.353i −0.0224242 0.0388399i
\(339\) 2917.70 + 439.772i 0.467456 + 0.0704577i
\(340\) 411.645 + 198.238i 0.0656605 + 0.0316205i
\(341\) 11692.5 10849.0i 1.85684 1.72290i
\(342\) −804.628 + 3525.31i −0.127220 + 0.557388i
\(343\) −3965.64 −0.624269
\(344\) 3709.56 3801.89i 0.581413 0.595884i
\(345\) −654.561 −0.102146
\(346\) 136.335 597.325i 0.0211833 0.0928103i
\(347\) −4139.21 + 3840.62i −0.640358 + 0.594166i −0.932042 0.362349i \(-0.881975\pi\)
0.291684 + 0.956515i \(0.405784\pi\)
\(348\) 119.675 + 57.6324i 0.0184346 + 0.00887765i
\(349\) 5815.42 + 876.533i 0.891955 + 0.134441i 0.579000 0.815327i \(-0.303443\pi\)
0.312955 + 0.949768i \(0.398681\pi\)
\(350\) 1815.43 + 3144.42i 0.277254 + 0.480218i
\(351\) −2762.75 + 4785.22i −0.420127 + 0.727681i
\(352\) −6575.01 + 8244.80i −0.995594 + 1.24844i
\(353\) 440.013 5871.56i 0.0663442 0.885302i −0.860402 0.509615i \(-0.829788\pi\)
0.926747 0.375687i \(-0.122593\pi\)
\(354\) −215.280 + 548.525i −0.0323221 + 0.0823553i
\(355\) 1563.67 753.024i 0.233777 0.112581i
\(356\) −2614.89 + 806.587i −0.389295 + 0.120082i
\(357\) −755.922 1926.06i −0.112066 0.285540i
\(358\) −3295.87 3058.12i −0.486570 0.451471i
\(359\) −1756.81 + 1197.77i −0.258275 + 0.176089i −0.685535 0.728040i \(-0.740432\pi\)
0.427259 + 0.904129i \(0.359479\pi\)
\(360\) −469.483 588.713i −0.0687332 0.0861887i
\(361\) −9021.87 + 1359.83i −1.31533 + 0.198255i
\(362\) 5052.00 + 1558.34i 0.733501 + 0.226255i
\(363\) 338.520 + 4517.24i 0.0489469 + 0.653150i
\(364\) 5728.09 + 3905.35i 0.824818 + 0.562351i
\(365\) 140.396 + 615.116i 0.0201334 + 0.0882100i
\(366\) 149.141 + 653.431i 0.0212998 + 0.0933207i
\(367\) −5226.06 3563.07i −0.743320 0.506787i 0.131452 0.991323i \(-0.458036\pi\)
−0.874771 + 0.484536i \(0.838989\pi\)
\(368\) 287.442 + 3835.64i 0.0407172 + 0.543333i
\(369\) −5439.87 1677.98i −0.767449 0.236727i
\(370\) 55.3964 8.34966i 0.00778357 0.00117318i
\(371\) 4357.15 + 5463.70i 0.609736 + 0.764585i
\(372\) −3327.23 + 2268.47i −0.463734 + 0.316168i
\(373\) −2238.35 2076.88i −0.310716 0.288302i 0.509364 0.860551i \(-0.329881\pi\)
−0.820080 + 0.572249i \(0.806071\pi\)
\(374\) 1095.24 + 2790.62i 0.151426 + 0.385827i
\(375\) 1007.57 310.793i 0.138748 0.0427981i
\(376\) −1160.98 + 559.097i −0.159236 + 0.0766841i
\(377\) −164.495 + 419.126i −0.0224719 + 0.0572576i
\(378\) −251.286 + 3353.18i −0.0341925 + 0.456268i
\(379\) −4216.53 + 5287.36i −0.571474 + 0.716605i −0.980632 0.195858i \(-0.937251\pi\)
0.409159 + 0.912463i \(0.365822\pi\)
\(380\) 730.090 1264.55i 0.0985601 0.170711i
\(381\) 777.487 + 1346.65i 0.104546 + 0.181078i
\(382\) 2356.83 + 355.235i 0.315670 + 0.0475796i
\(383\) 11491.6 + 5534.05i 1.53314 + 0.738321i 0.994551 0.104249i \(-0.0332438\pi\)
0.538588 + 0.842569i \(0.318958\pi\)
\(384\) 2402.54 2229.24i 0.319282 0.296250i
\(385\) −532.465 + 2332.88i −0.0704856 + 0.308817i
\(386\) 402.420 0.0530639
\(387\) 1060.66 6009.12i 0.139319 0.789305i
\(388\) −6175.29 −0.807998
\(389\) −1682.82 + 7372.91i −0.219337 + 0.960980i 0.738632 + 0.674109i \(0.235472\pi\)
−0.957969 + 0.286871i \(0.907385\pi\)
\(390\) −203.290 + 188.625i −0.0263948 + 0.0244908i
\(391\) 5455.76 + 2627.35i 0.705651 + 0.339823i
\(392\) 3119.81 + 470.235i 0.401975 + 0.0605879i
\(393\) 2789.15 + 4830.95i 0.358000 + 0.620074i
\(394\) 1190.83 2062.59i 0.152267 0.263735i
\(395\) −1002.26 + 1256.80i −0.127669 + 0.160092i
\(396\) −579.847 + 7737.52i −0.0735818 + 0.981881i
\(397\) 1656.17 4219.86i 0.209373 0.533473i −0.787153 0.616758i \(-0.788446\pi\)
0.996526 + 0.0832846i \(0.0265411\pi\)
\(398\) −3345.87 + 1611.29i −0.421390 + 0.202931i
\(399\) −6318.82 + 1949.10i −0.792824 + 0.244554i
\(400\) −1116.17 2843.97i −0.139522 0.355496i
\(401\) −4427.65 4108.26i −0.551387 0.511612i 0.354543 0.935040i \(-0.384636\pi\)
−0.905930 + 0.423427i \(0.860827\pi\)
\(402\) 634.718 432.743i 0.0787484 0.0536897i
\(403\) −8510.75 10672.1i −1.05199 1.31915i
\(404\) −3468.86 + 522.846i −0.427183 + 0.0643875i
\(405\) −571.182 176.186i −0.0700797 0.0216167i
\(406\) 20.4763 + 273.238i 0.00250301 + 0.0334004i
\(407\) −1087.19 741.232i −0.132408 0.0902739i
\(408\) −383.883 1681.90i −0.0465809 0.204084i
\(409\) −23.8219 104.370i −0.00287999 0.0126181i 0.973468 0.228825i \(-0.0734885\pi\)
−0.976347 + 0.216207i \(0.930631\pi\)
\(410\) −530.603 361.759i −0.0639137 0.0435756i
\(411\) −415.325 5542.13i −0.0498455 0.665142i
\(412\) −2880.99 888.669i −0.344506 0.106266i
\(413\) 4302.63 648.517i 0.512636 0.0772674i
\(414\) −2729.86 3423.13i −0.324071 0.406372i
\(415\) 1480.18 1009.17i 0.175083 0.119369i
\(416\) 6615.59 + 6138.37i 0.779702 + 0.723458i
\(417\) 286.958 + 731.156i 0.0336987 + 0.0858630i
\(418\) 9155.18 2824.00i 1.07128 0.330446i
\(419\) 1693.33 815.463i 0.197433 0.0950787i −0.332555 0.943084i \(-0.607911\pi\)
0.529988 + 0.848005i \(0.322196\pi\)
\(420\) 220.711 562.363i 0.0256419 0.0653346i
\(421\) −423.850 + 5655.88i −0.0490669 + 0.654752i 0.917401 + 0.397964i \(0.130283\pi\)
−0.966468 + 0.256788i \(0.917336\pi\)
\(422\) −589.351 + 739.023i −0.0679838 + 0.0852490i
\(423\) −740.143 + 1281.96i −0.0850756 + 0.147355i
\(424\) 2913.35 + 5046.07i 0.333690 + 0.577969i
\(425\) −4756.05 716.860i −0.542829 0.0818184i
\(426\) −2590.28 1247.42i −0.294600 0.141872i
\(427\) 3628.01 3366.30i 0.411175 0.381514i
\(428\) 1044.05 4574.29i 0.117912 0.516605i
\(429\) 6513.59 0.733051
\(430\) 314.142 612.492i 0.0352309 0.0686907i
\(431\) 1434.32 0.160299 0.0801496 0.996783i \(-0.474460\pi\)
0.0801496 + 0.996783i \(0.474460\pi\)
\(432\) 629.604 2758.48i 0.0701200 0.307216i
\(433\) 4272.95 3964.72i 0.474237 0.440028i −0.406487 0.913656i \(-0.633247\pi\)
0.880725 + 0.473628i \(0.157056\pi\)
\(434\) −7484.29 3604.24i −0.827782 0.398639i
\(435\) 38.7970 + 5.84771i 0.00427626 + 0.000644543i
\(436\) −3892.94 6742.78i −0.427610 0.740643i
\(437\) 9676.28 16759.8i 1.05922 1.83462i
\(438\) 651.653 817.147i 0.0710894 0.0891433i
\(439\) 582.309 7770.37i 0.0633077 0.844783i −0.871674 0.490086i \(-0.836965\pi\)
0.934982 0.354696i \(-0.115416\pi\)
\(440\) −728.899 + 1857.21i −0.0789748 + 0.201225i
\(441\) 3265.48 1572.57i 0.352606 0.169806i
\(442\) 2451.55 756.202i 0.263819 0.0813775i
\(443\) −1708.32 4352.72i −0.183216 0.466826i 0.809527 0.587082i \(-0.199724\pi\)
−0.992743 + 0.120257i \(0.961628\pi\)
\(444\) 243.523 + 225.956i 0.0260294 + 0.0241518i
\(445\) −667.849 + 455.332i −0.0711440 + 0.0485052i
\(446\) 1887.47 + 2366.81i 0.200391 + 0.251282i
\(447\) −3478.59 + 524.313i −0.368080 + 0.0554791i
\(448\) 908.118 + 280.117i 0.0957691 + 0.0295408i
\(449\) 966.590 + 12898.3i 0.101595 + 1.35569i 0.782193 + 0.623036i \(0.214101\pi\)
−0.680598 + 0.732657i \(0.738280\pi\)
\(450\) 2873.40 + 1959.05i 0.301007 + 0.205223i
\(451\) 3356.41 + 14705.4i 0.350437 + 1.53536i
\(452\) −1773.50 7770.23i −0.184554 0.808586i
\(453\) 4866.06 + 3317.63i 0.504697 + 0.344096i
\(454\) −451.234 6021.29i −0.0466464 0.622452i
\(455\) 1956.82 + 603.599i 0.201620 + 0.0621916i
\(456\) −5451.84 + 821.732i −0.559881 + 0.0843885i
\(457\) −7141.99 8955.78i −0.731047 0.916704i 0.267860 0.963458i \(-0.413684\pi\)
−0.998906 + 0.0467542i \(0.985112\pi\)
\(458\) −994.586 + 678.097i −0.101471 + 0.0691821i
\(459\) −3265.30 3029.75i −0.332050 0.308098i
\(460\) 645.938 + 1645.82i 0.0654718 + 0.166819i
\(461\) −16583.0 + 5115.18i −1.67537 + 0.516784i −0.979511 0.201390i \(-0.935454\pi\)
−0.695863 + 0.718175i \(0.744978\pi\)
\(462\) 3571.35 1719.87i 0.359641 0.173194i
\(463\) 2917.03 7432.47i 0.292799 0.746039i −0.706468 0.707745i \(-0.749712\pi\)
0.999267 0.0382938i \(-0.0121923\pi\)
\(464\) 17.2296 229.913i 0.00172385 0.0230031i
\(465\) −741.634 + 929.980i −0.0739623 + 0.0927457i
\(466\) −3209.81 + 5559.55i −0.319080 + 0.552663i
\(467\) −528.058 914.623i −0.0523246 0.0906289i 0.838677 0.544629i \(-0.183330\pi\)
−0.891001 + 0.454001i \(0.849996\pi\)
\(468\) 6566.09 + 989.679i 0.648542 + 0.0977519i
\(469\) −5110.82 2461.24i −0.503190 0.242323i
\(470\) −122.411 + 113.581i −0.0120136 + 0.0111470i
\(471\) −287.626 + 1260.17i −0.0281382 + 0.123282i
\(472\) 3627.94 0.353792
\(473\) −15193.8 + 5527.05i −1.47698 + 0.537281i
\(474\) 2662.89 0.258040
\(475\) −3420.50 + 14986.2i −0.330407 + 1.44761i
\(476\) −4096.91 + 3801.38i −0.394499 + 0.366041i
\(477\) 6030.65 + 2904.21i 0.578877 + 0.278772i
\(478\) −3701.79 557.954i −0.354217 0.0533896i
\(479\) −6708.95 11620.2i −0.639957 1.10844i −0.985442 0.170014i \(-0.945619\pi\)
0.345484 0.938425i \(-0.387715\pi\)
\(480\) 393.211 681.062i 0.0373907 0.0647626i
\(481\) −702.094 + 880.397i −0.0665545 + 0.0834567i
\(482\) 700.143 9342.76i 0.0661632 0.882886i
\(483\) 2925.21 7453.31i 0.275573 0.702148i
\(484\) 11024.1 5308.91i 1.03532 0.498583i
\(485\) −1743.03 + 537.653i −0.163189 + 0.0503372i
\(486\) 1829.82 + 4662.30i 0.170787 + 0.435157i
\(487\) 13542.3 + 12565.4i 1.26008 + 1.16918i 0.977729 + 0.209870i \(0.0673042\pi\)
0.282349 + 0.959312i \(0.408886\pi\)
\(488\) 3409.48 2324.54i 0.316270 0.215629i
\(489\) −5534.15 6939.60i −0.511785 0.641758i
\(490\) 404.295 60.9377i 0.0372739 0.00561813i
\(491\) −5545.11 1710.44i −0.509669 0.157212i 0.0292460 0.999572i \(-0.490689\pi\)
−0.538915 + 0.842360i \(0.681166\pi\)
\(492\) −284.580 3797.46i −0.0260770 0.347973i
\(493\) −299.900 204.469i −0.0273972 0.0186791i
\(494\) −1824.49 7993.60i −0.166169 0.728034i
\(495\) 510.002 + 2234.46i 0.0463088 + 0.202892i
\(496\) 5775.24 + 3937.49i 0.522814 + 0.356449i
\(497\) 1586.50 + 21170.3i 0.143187 + 1.91070i
\(498\) −2835.80 874.729i −0.255171 0.0787100i
\(499\) 10241.0 1543.58i 0.918737 0.138477i 0.327385 0.944891i \(-0.393832\pi\)
0.591352 + 0.806414i \(0.298594\pi\)
\(500\) −1775.75 2226.72i −0.158828 0.199164i
\(501\) −1989.58 + 1356.48i −0.177421 + 0.120964i
\(502\) −6447.48 5982.38i −0.573237 0.531886i
\(503\) 3244.76 + 8267.50i 0.287627 + 0.732862i 0.999532 + 0.0305865i \(0.00973750\pi\)
−0.711905 + 0.702276i \(0.752167\pi\)
\(504\) 8801.63 2714.94i 0.777888 0.239947i
\(505\) −933.592 + 449.594i −0.0822659 + 0.0396172i
\(506\) −4238.26 + 10798.9i −0.372359 + 0.948755i
\(507\) 36.4793 486.782i 0.00319547 0.0426405i
\(508\) 2618.76 3283.82i 0.228718 0.286803i
\(509\) −5902.55 + 10223.5i −0.514000 + 0.890275i 0.485868 + 0.874032i \(0.338504\pi\)
−0.999868 + 0.0162422i \(0.994830\pi\)
\(510\) −111.781 193.610i −0.00970539 0.0168102i
\(511\) −7631.59 1150.28i −0.660669 0.0995798i
\(512\) −7575.38 3648.11i −0.653882 0.314893i
\(513\) −10435.6 + 9682.79i −0.898132 + 0.833345i
\(514\) −1676.47 + 7345.11i −0.143864 + 0.630309i
\(515\) −890.556 −0.0761992
\(516\) 4001.06 808.101i 0.341351 0.0689431i
\(517\) 3922.15 0.333648
\(518\) −152.489 + 668.098i −0.0129343 + 0.0566690i
\(519\) 786.684 729.937i 0.0665349 0.0617354i
\(520\) 1538.32 + 740.814i 0.129730 + 0.0624747i
\(521\) 7373.16 + 1111.33i 0.620008 + 0.0934512i 0.451533 0.892255i \(-0.350877\pi\)
0.168475 + 0.985706i \(0.446116\pi\)
\(522\) 131.222 + 227.283i 0.0110027 + 0.0190573i
\(523\) −6479.80 + 11223.3i −0.541762 + 0.938360i 0.457041 + 0.889446i \(0.348909\pi\)
−0.998803 + 0.0489141i \(0.984424\pi\)
\(524\) 9394.51 11780.3i 0.783208 0.982112i
\(525\) −475.262 + 6341.94i −0.0395089 + 0.527209i
\(526\) −1476.80 + 3762.83i −0.122418 + 0.311915i
\(527\) 9914.37 4774.51i 0.819501 0.394651i
\(528\) −3187.21 + 983.123i −0.262699 + 0.0810321i
\(529\) 4115.87 + 10487.1i 0.338282 + 0.861927i
\(530\) 553.513 + 513.585i 0.0453643 + 0.0420919i
\(531\) 3443.48 2347.73i 0.281421 0.191869i
\(532\) 11136.4 + 13964.6i 0.907563 + 1.13805i
\(533\) 12764.2 1923.89i 1.03729 0.156347i
\(534\) 1279.50 + 394.672i 0.103688 + 0.0319834i
\(535\) −103.569 1382.03i −0.00836949 0.111683i
\(536\) −3907.83 2664.31i −0.314911 0.214703i
\(537\) −1752.40 7677.78i −0.140823 0.616984i
\(538\) 136.760 + 599.184i 0.0109594 + 0.0480161i
\(539\) −7934.53 5409.67i −0.634071 0.432303i
\(540\) −97.1921 1296.94i −0.00774534 0.103354i
\(541\) 10056.2 + 3101.94i 0.799170 + 0.246511i 0.667332 0.744760i \(-0.267436\pi\)
0.131838 + 0.991271i \(0.457912\pi\)
\(542\) −7528.86 + 1134.79i −0.596665 + 0.0899327i
\(543\) 5773.74 + 7240.04i 0.456307 + 0.572191i
\(544\) −6011.14 + 4098.32i −0.473760 + 0.323004i
\(545\) −1685.88 1564.26i −0.132505 0.122946i
\(546\) −1239.33 3157.77i −0.0971402 0.247509i
\(547\) 5743.90 1771.76i 0.448979 0.138492i −0.0620165 0.998075i \(-0.519753\pi\)
0.510995 + 0.859583i \(0.329277\pi\)
\(548\) −13525.3 + 6513.42i −1.05433 + 0.507736i
\(549\) 1731.86 4412.70i 0.134634 0.343041i
\(550\) 688.596 9188.67i 0.0533851 0.712375i
\(551\) −723.259 + 906.939i −0.0559199 + 0.0701214i
\(552\) 3337.93 5781.46i 0.257376 0.445789i
\(553\) −9831.73 17029.1i −0.756036 1.30949i
\(554\) −508.617 76.6617i −0.0390055 0.00587914i
\(555\) 88.4092 + 42.5756i 0.00676173 + 0.00325628i
\(556\) 1555.24 1443.05i 0.118627 0.110070i
\(557\) 454.184 1989.91i 0.0345500 0.151374i −0.954711 0.297536i \(-0.903835\pi\)
0.989261 + 0.146163i \(0.0466923\pi\)
\(558\) −7956.48 −0.603629
\(559\) 3745.08 + 13319.8i 0.283363 + 1.00781i
\(560\) −1048.61 −0.0791282
\(561\) −1168.45 + 5119.29i −0.0879355 + 0.385270i
\(562\) −4424.62 + 4105.45i −0.332102 + 0.308146i
\(563\) −6261.14 3015.20i −0.468695 0.225712i 0.184602 0.982813i \(-0.440900\pi\)
−0.653297 + 0.757102i \(0.726615\pi\)
\(564\) −979.156 147.584i −0.0731026 0.0110184i
\(565\) −1177.10 2038.80i −0.0876479 0.151811i
\(566\) 4184.81 7248.30i 0.310778 0.538284i
\(567\) 4558.78 5716.53i 0.337656 0.423407i
\(568\) −1322.78 + 17651.3i −0.0977160 + 1.30393i
\(569\) −4364.12 + 11119.6i −0.321535 + 0.819257i 0.675134 + 0.737696i \(0.264086\pi\)
−0.996668 + 0.0815617i \(0.974009\pi\)
\(570\) −643.727 + 310.002i −0.0473031 + 0.0227799i
\(571\) 14420.0 4447.99i 1.05685 0.325994i 0.282837 0.959168i \(-0.408725\pi\)
0.774009 + 0.633174i \(0.218248\pi\)
\(572\) −6427.79 16377.7i −0.469859 1.19718i
\(573\) 3060.33 + 2839.57i 0.223119 + 0.207024i
\(574\) 6490.50 4425.15i 0.471966 0.321781i
\(575\) −11604.7 14551.8i −0.841651 1.05540i
\(576\) 900.080 135.665i 0.0651099 0.00981374i
\(577\) −16627.9 5129.02i −1.19970 0.370059i −0.370406 0.928870i \(-0.620782\pi\)
−0.829295 + 0.558811i \(0.811258\pi\)
\(578\) −330.698 4412.86i −0.0237980 0.317562i
\(579\) 582.390 + 397.066i 0.0418019 + 0.0285000i
\(580\) −23.5825 103.322i −0.00168829 0.00739689i
\(581\) 4876.29 + 21364.4i 0.348197 + 1.52555i
\(582\) 2496.60 + 1702.15i 0.177813 + 0.121231i
\(583\) −1325.34 17685.5i −0.0941510 1.25636i
\(584\) −6149.02 1896.72i −0.435699 0.134395i
\(585\) 1939.50 292.332i 0.137074 0.0206606i
\(586\) 4406.26 + 5525.27i 0.310616 + 0.389500i
\(587\) 8107.30 5527.46i 0.570058 0.388659i −0.243710 0.969848i \(-0.578365\pi\)
0.813769 + 0.581189i \(0.197412\pi\)
\(588\) 1777.28 + 1649.08i 0.124649 + 0.115658i
\(589\) −12848.3 32737.1i −0.898823 2.29016i
\(590\) 449.257 138.578i 0.0313485 0.00966974i
\(591\) 3758.54 1810.02i 0.261600 0.125980i
\(592\) 210.664 536.763i 0.0146254 0.0372649i
\(593\) 371.131 4952.40i 0.0257007 0.342952i −0.969500 0.245093i \(-0.921182\pi\)
0.995200 0.0978591i \(-0.0311994\pi\)
\(594\) 5320.61 6671.83i 0.367521 0.460856i
\(595\) −825.419 + 1429.67i −0.0568721 + 0.0985053i
\(596\) 4751.10 + 8229.14i 0.326531 + 0.565568i
\(597\) −6432.05 969.476i −0.440949 0.0664623i
\(598\) 8944.70 + 4307.54i 0.611666 + 0.294563i
\(599\) −281.848 + 261.517i −0.0192254 + 0.0178386i −0.689727 0.724070i \(-0.742269\pi\)
0.670502 + 0.741908i \(0.266079\pi\)
\(600\) −1179.93 + 5169.63i −0.0802843 + 0.351749i
\(601\) −7444.73 −0.505286 −0.252643 0.967560i \(-0.581300\pi\)
−0.252643 + 0.967560i \(0.581300\pi\)
\(602\) 5570.40 + 6314.26i 0.377130 + 0.427492i
\(603\) −5433.27 −0.366932
\(604\) 3539.86 15509.1i 0.238468 1.04480i
\(605\) 2649.41 2458.30i 0.178040 0.165197i
\(606\) 1546.53 + 744.771i 0.103669 + 0.0499245i
\(607\) −517.277 77.9669i −0.0345891 0.00521347i 0.131725 0.991286i \(-0.457948\pi\)
−0.166314 + 0.986073i \(0.553187\pi\)
\(608\) 11625.6 + 20136.1i 0.775459 + 1.34313i
\(609\) −239.969 + 415.638i −0.0159672 + 0.0276560i
\(610\) 333.413 418.086i 0.0221303 0.0277505i
\(611\) 250.834 3347.15i 0.0166083 0.221622i
\(612\) −1955.69 + 4983.02i −0.129173 + 0.329129i
\(613\) −15095.1 + 7269.41i −0.994592 + 0.478970i −0.859100 0.511808i \(-0.828976\pi\)
−0.135492 + 0.990778i \(0.543262\pi\)
\(614\) −1369.02 + 422.286i −0.0899821 + 0.0277558i
\(615\) −410.952 1047.09i −0.0269450 0.0686547i
\(616\) −17890.1 16599.6i −1.17015 1.08574i
\(617\) 1098.66 749.051i 0.0716859 0.0488747i −0.526947 0.849898i \(-0.676663\pi\)
0.598633 + 0.801024i \(0.295711\pi\)
\(618\) 919.799 + 1153.39i 0.0598702 + 0.0750748i
\(619\) 16363.4 2466.39i 1.06252 0.160149i 0.405557 0.914070i \(-0.367078\pi\)
0.656966 + 0.753920i \(0.271840\pi\)
\(620\) 3070.20 + 947.032i 0.198875 + 0.0613447i
\(621\) −1288.14 17189.0i −0.0832388 1.11074i
\(622\) 914.583 + 623.552i 0.0589573 + 0.0401964i
\(623\) −2200.15 9639.48i −0.141488 0.619900i
\(624\) 635.161 + 2782.82i 0.0407481 + 0.178529i
\(625\) 11862.5 + 8087.74i 0.759202 + 0.517615i
\(626\) 11.9217 + 159.084i 0.000761161 + 0.0101570i
\(627\) 16035.9 + 4946.44i 1.02139 + 0.315058i
\(628\) 3452.40 520.366i 0.219372 0.0330651i
\(629\) −565.994 709.734i −0.0358787 0.0449904i
\(630\) 986.224 672.396i 0.0623684 0.0425221i
\(631\) 10077.7 + 9350.75i 0.635796 + 0.589933i 0.930785 0.365568i \(-0.119125\pi\)
−0.294988 + 0.955501i \(0.595316\pi\)
\(632\) −5989.73 15261.6i −0.376992 0.960559i
\(633\) −1582.11 + 488.016i −0.0993415 + 0.0306428i
\(634\) −4752.18 + 2288.53i −0.297686 + 0.143358i
\(635\) 453.260 1154.89i 0.0283261 0.0721737i
\(636\) −334.606 + 4465.01i −0.0208616 + 0.278379i
\(637\) −5124.03 + 6425.33i −0.318715 + 0.399656i
\(638\) 347.685 602.207i 0.0215752 0.0373693i
\(639\) 10167.0 + 17609.8i 0.629423 + 1.09019i
\(640\) −2585.74 389.737i −0.159703 0.0240714i
\(641\) −9660.82 4652.40i −0.595287 0.286675i 0.111880 0.993722i \(-0.464313\pi\)
−0.707167 + 0.707046i \(0.750027\pi\)
\(642\) −1682.95 + 1561.55i −0.103459 + 0.0959960i
\(643\) −540.683 + 2368.89i −0.0331609 + 0.145287i −0.988798 0.149259i \(-0.952311\pi\)
0.955637 + 0.294546i \(0.0951684\pi\)
\(644\) −21627.2 −1.32334
\(645\) 1058.98 576.446i 0.0646467 0.0351900i
\(646\) 6609.78 0.402567
\(647\) 4826.19 21144.9i 0.293257 1.28484i −0.586706 0.809800i \(-0.699575\pi\)
0.879963 0.475043i \(-0.157567\pi\)
\(648\) 4468.92 4146.55i 0.270920 0.251377i
\(649\) −9949.02 4791.20i −0.601746 0.289786i
\(650\) −7797.54 1175.29i −0.470530 0.0709210i
\(651\) −7275.10 12600.8i −0.437993 0.758626i
\(652\) −11987.6 + 20763.2i −0.720050 + 1.24716i
\(653\) −481.806 + 604.165i −0.0288737 + 0.0362064i −0.796059 0.605219i \(-0.793085\pi\)
0.767185 + 0.641426i \(0.221657\pi\)
\(654\) −284.701 + 3799.07i −0.0170225 + 0.227149i
\(655\) 1626.02 4143.03i 0.0969983 0.247148i
\(656\) −5955.33 + 2867.94i −0.354446 + 0.170692i
\(657\) −7063.78 + 2178.89i −0.419459 + 0.129386i
\(658\) −746.262 1901.45i −0.0442133 0.112654i
\(659\) 11399.4 + 10577.1i 0.673838 + 0.625231i 0.940994 0.338423i \(-0.109893\pi\)
−0.267156 + 0.963653i \(0.586084\pi\)
\(660\) −1266.75 + 863.655i −0.0747093 + 0.0509359i
\(661\) 20080.7 + 25180.4i 1.18162 + 1.48170i 0.840613 + 0.541637i \(0.182195\pi\)
0.341003 + 0.940062i \(0.389233\pi\)
\(662\) −5567.14 + 839.111i −0.326847 + 0.0492643i
\(663\) 4294.06 + 1324.54i 0.251535 + 0.0775882i
\(664\) 1365.41 + 18220.1i 0.0798014 + 1.06488i
\(665\) 4359.16 + 2972.03i 0.254197 + 0.173309i
\(666\) 146.056 + 639.913i 0.00849783 + 0.0372314i
\(667\) −312.552 1369.38i −0.0181440 0.0794941i
\(668\) 5374.09 + 3663.99i 0.311272 + 0.212222i
\(669\) 396.254 + 5287.65i 0.0229000 + 0.305579i
\(670\) −585.685 180.660i −0.0337716 0.0104172i
\(671\) −12419.8 + 1871.98i −0.714546 + 0.107701i
\(672\) 5997.82 + 7521.03i 0.344302 + 0.431741i
\(673\) 7362.76 5019.85i 0.421714 0.287520i −0.333810 0.942640i \(-0.608335\pi\)
0.755524 + 0.655120i \(0.227382\pi\)
\(674\) 10324.3 + 9579.57i 0.590027 + 0.547465i
\(675\) 5002.02 + 12744.9i 0.285227 + 0.726746i
\(676\) −1259.96 + 388.647i −0.0716865 + 0.0221124i
\(677\) 16025.1 7717.30i 0.909743 0.438109i 0.0803451 0.996767i \(-0.474398\pi\)
0.829398 + 0.558658i \(0.188683\pi\)
\(678\) −1424.77 + 3630.26i −0.0807050 + 0.205633i
\(679\) 1667.42 22250.1i 0.0942410 1.25756i
\(680\) −858.188 + 1076.13i −0.0483971 + 0.0606880i
\(681\) 5288.15 9159.35i 0.297566 0.515399i
\(682\) 10540.7 + 18257.0i 0.591824 + 1.02507i
\(683\) −4322.39 651.495i −0.242155 0.0364989i 0.0268434 0.999640i \(-0.491454\pi\)
−0.268998 + 0.963141i \(0.586693\pi\)
\(684\) 15413.6 + 7422.81i 0.861630 + 0.414939i
\(685\) −3250.52 + 3016.05i −0.181308 + 0.168229i
\(686\) 1166.30 5109.91i 0.0649121 0.284398i
\(687\) −2108.46 −0.117093
\(688\) −3842.93 5952.32i −0.212951 0.329840i
\(689\) −15177.5 −0.839210
\(690\) 192.508 843.433i 0.0106212 0.0465347i
\(691\) −12944.1 + 12010.4i −0.712615 + 0.661210i −0.950728 0.310027i \(-0.899662\pi\)
0.238112 + 0.971238i \(0.423471\pi\)
\(692\) −2611.67 1257.71i −0.143469 0.0690912i
\(693\) −27722.4 4178.48i −1.51961 0.229044i
\(694\) −3731.48 6463.10i −0.204099 0.353510i
\(695\) 313.339 542.720i 0.0171016 0.0296209i
\(696\) −249.495 + 312.857i −0.0135878 + 0.0170385i
\(697\) −777.648 + 10377.0i −0.0422604 + 0.563926i
\(698\) −2839.78 + 7235.65i −0.153993 + 0.392369i
\(699\) −10130.9 + 4878.77i −0.548190 + 0.263994i
\(700\) 16415.1 5063.40i 0.886334 0.273398i
\(701\) 6218.14 + 15843.6i 0.335030 + 0.853641i 0.994769 + 0.102147i \(0.0325713\pi\)
−0.659740 + 0.751494i \(0.729333\pi\)
\(702\) −5353.45 4967.27i −0.287825 0.267062i
\(703\) −2397.08 + 1634.30i −0.128602 + 0.0876796i
\(704\) −1503.72 1885.60i −0.0805022 0.100947i
\(705\) −289.224 + 43.5935i −0.0154508 + 0.00232883i
\(706\) 7436.38 + 2293.82i 0.396419 + 0.122279i
\(707\) −947.221 12639.8i −0.0503874 0.672373i
\(708\) 2303.47 + 1570.48i 0.122273 + 0.0833646i
\(709\) 4211.08 + 18449.9i 0.223061 + 0.977294i 0.955159 + 0.296094i \(0.0956843\pi\)
−0.732098 + 0.681200i \(0.761459\pi\)
\(710\) 510.428 + 2236.33i 0.0269803 + 0.118208i
\(711\) −15561.3 10609.5i −0.820808 0.559617i
\(712\) −616.063 8220.80i −0.0324269 0.432707i
\(713\) 40691.1 + 12551.5i 2.13730 + 0.659268i
\(714\) 2704.14 407.583i 0.141736 0.0213633i
\(715\) −3240.23 4063.12i −0.169479 0.212520i
\(716\) −17575.6 + 11982.9i −0.917364 + 0.625448i
\(717\) −4806.75 4460.02i −0.250365 0.232305i
\(718\) −1026.70 2616.00i −0.0533653 0.135973i
\(719\) −34719.3 + 10709.5i −1.80085 + 0.555489i −0.999110 0.0421848i \(-0.986568\pi\)
−0.801740 + 0.597673i \(0.796092\pi\)
\(720\) −904.906 + 435.780i −0.0468387 + 0.0225563i
\(721\) 3979.86 10140.5i 0.205573 0.523791i
\(722\) 901.152 12025.0i 0.0464507 0.619842i
\(723\) 10231.7 12830.2i 0.526309 0.659971i
\(724\) 12506.6 21662.1i 0.641996 1.11197i
\(725\) 557.828 + 966.187i 0.0285755 + 0.0494942i
\(726\) −5920.24 892.333i −0.302646 0.0456165i
\(727\) −3014.62 1451.76i −0.153791 0.0740618i 0.355405 0.934712i \(-0.384343\pi\)
−0.509196 + 0.860651i \(0.670057\pi\)
\(728\) −15310.1 + 14205.7i −0.779439 + 0.723214i
\(729\) −7.82569 + 34.2866i −0.000397586 + 0.00174194i
\(730\) −833.897 −0.0422793
\(731\) −11140.4 + 554.030i −0.563667 + 0.0280322i
\(732\) 3171.01 0.160115
\(733\) 4936.75 21629.3i 0.248763 1.08990i −0.684021 0.729463i \(-0.739770\pi\)
0.932783 0.360438i \(-0.117373\pi\)
\(734\) 6128.19 5686.13i 0.308168 0.285938i
\(735\) 645.229 + 310.726i 0.0323805 + 0.0155936i
\(736\) −27838.9 4196.04i −1.39423 0.210147i
\(737\) 7197.97 + 12467.2i 0.359756 + 0.623117i
\(738\) 3762.04 6516.04i 0.187646 0.325012i
\(739\) 11526.3 14453.5i 0.573750 0.719460i −0.407282 0.913302i \(-0.633524\pi\)
0.981033 + 0.193842i \(0.0620949\pi\)
\(740\) 19.8073 264.310i 0.000983962 0.0131301i
\(741\) 5246.82 13368.7i 0.260117 0.662767i
\(742\) −8321.69 + 4007.51i −0.411723 + 0.198276i
\(743\) 33380.5 10296.5i 1.64820 0.508402i 0.674893 0.737916i \(-0.264190\pi\)
0.973305 + 0.229514i \(0.0737137\pi\)
\(744\) −4432.16 11293.0i −0.218402 0.556479i
\(745\) 2057.51 + 1909.09i 0.101183 + 0.0938840i
\(746\) 3334.46 2273.40i 0.163651 0.111575i
\(747\) 13086.6 + 16410.1i 0.640984 + 0.803768i
\(748\) 14025.0 2113.93i 0.685567 0.103333i
\(749\) 16199.7 + 4996.94i 0.790285 + 0.243771i
\(750\) 104.144 + 1389.70i 0.00507039 + 0.0676597i
\(751\) −26245.5 17893.9i −1.27525 0.869450i −0.279373 0.960183i \(-0.590127\pi\)
−0.995875 + 0.0907332i \(0.971079\pi\)
\(752\) 382.461 + 1675.67i 0.0185464 + 0.0812573i
\(753\) −3428.10 15019.5i −0.165906 0.726881i
\(754\) −491.686 335.226i −0.0237482 0.0161913i
\(755\) −351.150 4685.78i −0.0169267 0.225871i
\(756\) 15202.3 + 4689.27i 0.731350 + 0.225592i
\(757\) −12801.5 + 1929.52i −0.614635 + 0.0926413i −0.448979 0.893542i \(-0.648212\pi\)
−0.165656 + 0.986184i \(0.552974\pi\)