Properties

Label 49.4.e.a.15.2
Level $49$
Weight $4$
Character 49.15
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 15.2
Character \(\chi\) \(=\) 49.15
Dual form 49.4.e.a.36.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.892344 + 3.90961i) q^{2} +(5.02886 - 6.30599i) q^{3} +(-7.28105 - 3.50637i) q^{4} +(8.76329 - 10.9888i) q^{5} +(20.1665 + 25.2880i) q^{6} +(3.97541 - 18.0886i) q^{7} +(0.203423 - 0.255085i) q^{8} +(-8.46803 - 37.1008i) q^{9} +O(q^{10})\) \(q+(-0.892344 + 3.90961i) q^{2} +(5.02886 - 6.30599i) q^{3} +(-7.28105 - 3.50637i) q^{4} +(8.76329 - 10.9888i) q^{5} +(20.1665 + 25.2880i) q^{6} +(3.97541 - 18.0886i) q^{7} +(0.203423 - 0.255085i) q^{8} +(-8.46803 - 37.1008i) q^{9} +(35.1422 + 44.0669i) q^{10} +(-11.9449 + 52.3342i) q^{11} +(-58.7265 + 28.2812i) q^{12} +(-14.3712 + 62.9644i) q^{13} +(67.1719 + 31.6836i) q^{14} +(-25.2260 - 110.522i) q^{15} +(-39.4934 - 49.5232i) q^{16} +(47.5604 - 22.9039i) q^{17} +152.606 q^{18} -11.4048 q^{19} +(-102.337 + 49.2828i) q^{20} +(-94.0745 - 116.034i) q^{21} +(-193.948 - 93.4002i) q^{22} +(89.1380 + 42.9266i) q^{23} +(-0.585574 - 2.56557i) q^{24} +(-16.1438 - 70.7304i) q^{25} +(-233.342 - 112.372i) q^{26} +(-80.3355 - 38.6875i) q^{27} +(-92.3704 + 117.765i) q^{28} +(-38.3802 + 18.4829i) q^{29} +454.610 q^{30} -67.2545 q^{31} +(231.210 - 111.345i) q^{32} +(269.950 + 338.506i) q^{33} +(47.1052 + 206.381i) q^{34} +(-163.934 - 202.200i) q^{35} +(-68.4332 + 299.825i) q^{36} +(-386.104 + 185.938i) q^{37} +(10.1770 - 44.5883i) q^{38} +(324.782 + 407.264i) q^{39} +(-1.02042 - 4.47076i) q^{40} +(28.5253 - 35.7695i) q^{41} +(537.594 - 264.253i) q^{42} +(122.569 + 153.697i) q^{43} +(270.475 - 339.165i) q^{44} +(-481.902 - 232.072i) q^{45} +(-247.368 + 310.190i) q^{46} +(126.548 - 554.444i) q^{47} -510.899 q^{48} +(-311.392 - 143.819i) q^{49} +290.934 q^{50} +(94.7430 - 415.096i) q^{51} +(325.414 - 408.056i) q^{52} +(-136.580 - 65.7736i) q^{53} +(222.940 - 279.558i) q^{54} +(470.414 + 589.880i) q^{55} +(-3.80542 - 4.69370i) q^{56} +(-57.3530 + 71.9184i) q^{57} +(-38.0128 - 166.545i) q^{58} +(107.072 + 134.265i) q^{59} +(-203.861 + 893.172i) q^{60} +(4.52965 - 2.18137i) q^{61} +(60.0141 - 262.939i) q^{62} +(-704.765 + 5.68318i) q^{63} +(116.236 + 509.264i) q^{64} +(565.965 + 709.698i) q^{65} +(-1564.32 + 753.335i) q^{66} -196.310 q^{67} -426.600 q^{68} +(718.957 - 346.231i) q^{69} +(936.811 - 460.487i) q^{70} +(-71.8036 - 34.5788i) q^{71} +(-11.1864 - 5.38711i) q^{72} +(-160.018 - 701.084i) q^{73} +(-382.408 - 1675.44i) q^{74} +(-527.210 - 253.891i) q^{75} +(83.0388 + 39.9894i) q^{76} +(899.164 + 424.117i) q^{77} +(-1882.06 + 906.353i) q^{78} +241.207 q^{79} -890.293 q^{80} +(277.772 - 133.768i) q^{81} +(114.391 + 143.441i) q^{82} +(93.8560 + 411.210i) q^{83} +(278.104 + 1174.71i) q^{84} +(165.099 - 723.347i) q^{85} +(-710.268 + 342.047i) q^{86} +(-76.4554 + 334.973i) q^{87} +(10.9198 + 13.6930i) q^{88} +(-139.803 - 612.517i) q^{89} +(1337.33 - 1676.96i) q^{90} +(1081.80 + 510.264i) q^{91} +(-498.502 - 625.101i) q^{92} +(-338.213 + 424.106i) q^{93} +(2054.74 + 989.509i) q^{94} +(-99.9433 + 125.325i) q^{95} +(460.583 - 2017.94i) q^{96} -1684.67 q^{97} +(840.146 - 1089.09i) q^{98} +2042.79 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.892344 + 3.90961i −0.315491 + 1.38226i 0.529878 + 0.848074i \(0.322238\pi\)
−0.845369 + 0.534183i \(0.820619\pi\)
\(3\) 5.02886 6.30599i 0.967805 1.21359i −0.00911002 0.999959i \(-0.502900\pi\)
0.976915 0.213630i \(-0.0685287\pi\)
\(4\) −7.28105 3.50637i −0.910132 0.438296i
\(5\) 8.76329 10.9888i 0.783813 0.982870i −0.216166 0.976357i \(-0.569355\pi\)
0.999979 0.00651323i \(-0.00207324\pi\)
\(6\) 20.1665 + 25.2880i 1.37216 + 1.72063i
\(7\) 3.97541 18.0886i 0.214652 0.976691i
\(8\) 0.203423 0.255085i 0.00899012 0.0112733i
\(9\) −8.46803 37.1008i −0.313631 1.37411i
\(10\) 35.1422 + 44.0669i 1.11129 + 1.39352i
\(11\) −11.9449 + 52.3342i −0.327412 + 1.43449i 0.496632 + 0.867961i \(0.334570\pi\)
−0.824044 + 0.566525i \(0.808287\pi\)
\(12\) −58.7265 + 28.2812i −1.41274 + 0.680340i
\(13\) −14.3712 + 62.9644i −0.306604 + 1.34332i 0.553350 + 0.832949i \(0.313349\pi\)
−0.859954 + 0.510372i \(0.829508\pi\)
\(14\) 67.1719 + 31.6836i 1.28232 + 0.604842i
\(15\) −25.2260 110.522i −0.434222 1.90245i
\(16\) −39.4934 49.5232i −0.617084 0.773799i
\(17\) 47.5604 22.9039i 0.678535 0.326765i −0.0626790 0.998034i \(-0.519964\pi\)
0.741214 + 0.671268i \(0.234250\pi\)
\(18\) 152.606 1.99831
\(19\) −11.4048 −0.137707 −0.0688535 0.997627i \(-0.521934\pi\)
−0.0688535 + 0.997627i \(0.521934\pi\)
\(20\) −102.337 + 49.2828i −1.14416 + 0.550999i
\(21\) −94.0745 116.034i −0.977559 1.20575i
\(22\) −193.948 93.4002i −1.87953 0.905136i
\(23\) 89.1380 + 42.9266i 0.808111 + 0.389166i 0.791860 0.610702i \(-0.209113\pi\)
0.0162506 + 0.999868i \(0.494827\pi\)
\(24\) −0.585574 2.56557i −0.00498041 0.0218206i
\(25\) −16.1438 70.7304i −0.129150 0.565843i
\(26\) −233.342 112.372i −1.76008 0.847612i
\(27\) −80.3355 38.6875i −0.572614 0.275756i
\(28\) −92.3704 + 117.765i −0.623442 + 0.794836i
\(29\) −38.3802 + 18.4829i −0.245759 + 0.118351i −0.552709 0.833374i \(-0.686406\pi\)
0.306950 + 0.951726i \(0.400692\pi\)
\(30\) 454.610 2.76667
\(31\) −67.2545 −0.389654 −0.194827 0.980838i \(-0.562414\pi\)
−0.194827 + 0.980838i \(0.562414\pi\)
\(32\) 231.210 111.345i 1.27727 0.615099i
\(33\) 269.950 + 338.506i 1.42401 + 1.78565i
\(34\) 47.1052 + 206.381i 0.237602 + 1.04100i
\(35\) −163.934 202.200i −0.791713 0.976517i
\(36\) −68.4332 + 299.825i −0.316820 + 1.38808i
\(37\) −386.104 + 185.938i −1.71554 + 0.826162i −0.725034 + 0.688713i \(0.758176\pi\)
−0.990509 + 0.137449i \(0.956110\pi\)
\(38\) 10.1770 44.5883i 0.0434454 0.190347i
\(39\) 324.782 + 407.264i 1.33351 + 1.67216i
\(40\) −1.02042 4.47076i −0.00403357 0.0176722i
\(41\) 28.5253 35.7695i 0.108656 0.136250i −0.724530 0.689244i \(-0.757943\pi\)
0.833186 + 0.552993i \(0.186514\pi\)
\(42\) 537.594 264.253i 1.97506 0.970836i
\(43\) 122.569 + 153.697i 0.434688 + 0.545082i 0.950135 0.311840i \(-0.100945\pi\)
−0.515446 + 0.856922i \(0.672374\pi\)
\(44\) 270.475 339.165i 0.926718 1.16207i
\(45\) −481.902 232.072i −1.59639 0.768783i
\(46\) −247.368 + 310.190i −0.792879 + 0.994239i
\(47\) 126.548 554.444i 0.392744 1.72072i −0.262173 0.965021i \(-0.584439\pi\)
0.654917 0.755701i \(-0.272704\pi\)
\(48\) −510.899 −1.53629
\(49\) −311.392 143.819i −0.907849 0.419298i
\(50\) 290.934 0.822887
\(51\) 94.7430 415.096i 0.260131 1.13971i
\(52\) 325.414 408.056i 0.867823 1.08822i
\(53\) −136.580 65.7736i −0.353976 0.170466i 0.248442 0.968647i \(-0.420082\pi\)
−0.602418 + 0.798181i \(0.705796\pi\)
\(54\) 222.940 279.558i 0.561820 0.704501i
\(55\) 470.414 + 589.880i 1.15328 + 1.44617i
\(56\) −3.80542 4.69370i −0.00908073 0.0112004i
\(57\) −57.3530 + 71.9184i −0.133274 + 0.167120i
\(58\) −38.0128 166.545i −0.0860572 0.377041i
\(59\) 107.072 + 134.265i 0.236265 + 0.296267i 0.885802 0.464063i \(-0.153609\pi\)
−0.649537 + 0.760330i \(0.725037\pi\)
\(60\) −203.861 + 893.172i −0.438638 + 1.92180i
\(61\) 4.52965 2.18137i 0.00950759 0.00457861i −0.429124 0.903246i \(-0.641178\pi\)
0.438631 + 0.898667i \(0.355463\pi\)
\(62\) 60.0141 262.939i 0.122932 0.538602i
\(63\) −704.765 + 5.68318i −1.40940 + 0.0113653i
\(64\) 116.236 + 509.264i 0.227024 + 0.994656i
\(65\) 565.965 + 709.698i 1.07999 + 1.35426i
\(66\) −1564.32 + 753.335i −2.91748 + 1.40499i
\(67\) −196.310 −0.357956 −0.178978 0.983853i \(-0.557279\pi\)
−0.178978 + 0.983853i \(0.557279\pi\)
\(68\) −426.600 −0.760777
\(69\) 718.957 346.231i 1.25438 0.604078i
\(70\) 936.811 460.487i 1.59958 0.786268i
\(71\) −71.8036 34.5788i −0.120021 0.0577992i 0.372910 0.927868i \(-0.378360\pi\)
−0.492931 + 0.870068i \(0.664074\pi\)
\(72\) −11.1864 5.38711i −0.0183102 0.00881773i
\(73\) −160.018 701.084i −0.256557 1.12405i −0.924904 0.380200i \(-0.875855\pi\)
0.668347 0.743850i \(-0.267002\pi\)
\(74\) −382.408 1675.44i −0.600730 2.63197i
\(75\) −527.210 253.891i −0.811693 0.390891i
\(76\) 83.0388 + 39.9894i 0.125332 + 0.0603565i
\(77\) 899.164 + 424.117i 1.33077 + 0.627696i
\(78\) −1882.06 + 906.353i −2.73207 + 1.31570i
\(79\) 241.207 0.343518 0.171759 0.985139i \(-0.445055\pi\)
0.171759 + 0.985139i \(0.445055\pi\)
\(80\) −890.293 −1.24422
\(81\) 277.772 133.768i 0.381032 0.183495i
\(82\) 114.391 + 143.441i 0.154053 + 0.193176i
\(83\) 93.8560 + 411.210i 0.124121 + 0.543809i 0.998304 + 0.0582130i \(0.0185402\pi\)
−0.874183 + 0.485596i \(0.838603\pi\)
\(84\) 278.104 + 1174.71i 0.361234 + 1.52585i
\(85\) 165.099 723.347i 0.210677 0.923035i
\(86\) −710.268 + 342.047i −0.890583 + 0.428882i
\(87\) −76.4554 + 334.973i −0.0942170 + 0.412792i
\(88\) 10.9198 + 13.6930i 0.0132279 + 0.0165872i
\(89\) −139.803 612.517i −0.166507 0.729513i −0.987376 0.158397i \(-0.949368\pi\)
0.820869 0.571117i \(-0.193490\pi\)
\(90\) 1337.33 1676.96i 1.56630 1.96408i
\(91\) 1081.80 + 510.264i 1.24620 + 0.587804i
\(92\) −498.502 625.101i −0.564917 0.708384i
\(93\) −338.213 + 424.106i −0.377109 + 0.472879i
\(94\) 2054.74 + 989.509i 2.25457 + 1.08575i
\(95\) −99.9433 + 125.325i −0.107937 + 0.135348i
\(96\) 460.583 2017.94i 0.489667 2.14537i
\(97\) −1684.67 −1.76343 −0.881715 0.471783i \(-0.843611\pi\)
−0.881715 + 0.471783i \(0.843611\pi\)
\(98\) 840.146 1089.09i 0.865995 1.12260i
\(99\) 2042.79 2.07382
\(100\) −130.464 + 571.598i −0.130464 + 0.571598i
\(101\) 79.4474 99.6239i 0.0782704 0.0981480i −0.741155 0.671334i \(-0.765721\pi\)
0.819425 + 0.573186i \(0.194293\pi\)
\(102\) 1538.32 + 740.817i 1.49330 + 0.719136i
\(103\) −334.914 + 419.968i −0.320389 + 0.401755i −0.915779 0.401682i \(-0.868426\pi\)
0.595391 + 0.803436i \(0.296997\pi\)
\(104\) 13.1378 + 16.4743i 0.0123872 + 0.0155330i
\(105\) −2099.48 + 16.9301i −1.95131 + 0.0157353i
\(106\) 379.026 475.283i 0.347304 0.435506i
\(107\) 159.404 + 698.395i 0.144020 + 0.630994i 0.994477 + 0.104950i \(0.0334683\pi\)
−0.850457 + 0.526044i \(0.823675\pi\)
\(108\) 449.274 + 563.372i 0.400291 + 0.501949i
\(109\) 492.604 2158.24i 0.432871 1.89653i −0.0100074 0.999950i \(-0.503185\pi\)
0.442878 0.896582i \(-0.353957\pi\)
\(110\) −2725.98 + 1312.76i −2.36283 + 1.13788i
\(111\) −769.140 + 3369.82i −0.657690 + 2.88153i
\(112\) −1052.81 + 517.504i −0.888221 + 0.436603i
\(113\) 292.414 + 1281.15i 0.243433 + 1.06655i 0.937867 + 0.346995i \(0.112798\pi\)
−0.694434 + 0.719557i \(0.744345\pi\)
\(114\) −229.995 288.404i −0.188956 0.236943i
\(115\) 1252.85 603.343i 1.01591 0.489235i
\(116\) 344.256 0.275546
\(117\) 2457.73 1.94203
\(118\) −620.468 + 298.802i −0.484057 + 0.233109i
\(119\) −225.226 951.353i −0.173500 0.732860i
\(120\) −33.3241 16.0481i −0.0253505 0.0122082i
\(121\) −1397.00 672.758i −1.04958 0.505453i
\(122\) 4.48629 + 19.6557i 0.00332926 + 0.0145864i
\(123\) −82.1129 359.760i −0.0601940 0.263727i
\(124\) 489.684 + 235.819i 0.354636 + 0.170784i
\(125\) 664.199 + 319.861i 0.475262 + 0.228874i
\(126\) 606.674 2760.43i 0.428943 1.95174i
\(127\) 836.616 402.893i 0.584548 0.281504i −0.118145 0.992996i \(-0.537695\pi\)
0.702693 + 0.711493i \(0.251981\pi\)
\(128\) −41.7598 −0.0288366
\(129\) 1585.59 1.08220
\(130\) −3279.68 + 1579.41i −2.21267 + 1.06556i
\(131\) 1407.96 + 1765.52i 0.939038 + 1.17752i 0.983936 + 0.178524i \(0.0571323\pi\)
−0.0448979 + 0.998992i \(0.514296\pi\)
\(132\) −778.590 3411.22i −0.513390 2.24931i
\(133\) −45.3387 + 206.296i −0.0295591 + 0.134497i
\(134\) 175.176 767.496i 0.112932 0.494788i
\(135\) −1129.13 + 543.762i −0.719854 + 0.346663i
\(136\) 3.83246 16.7911i 0.00241640 0.0105870i
\(137\) −983.527 1233.30i −0.613346 0.769111i 0.374045 0.927410i \(-0.377970\pi\)
−0.987391 + 0.158299i \(0.949399\pi\)
\(138\) 712.074 + 3119.80i 0.439245 + 1.92446i
\(139\) −950.831 + 1192.30i −0.580205 + 0.727554i −0.982148 0.188111i \(-0.939763\pi\)
0.401943 + 0.915665i \(0.368335\pi\)
\(140\) 484.624 + 2047.05i 0.292559 + 1.23576i
\(141\) −2859.92 3586.23i −1.70815 2.14195i
\(142\) 199.263 249.868i 0.117759 0.147665i
\(143\) −3123.53 1504.21i −1.82659 0.879639i
\(144\) −1502.92 + 1884.60i −0.869745 + 1.09063i
\(145\) −133.231 + 583.724i −0.0763051 + 0.334315i
\(146\) 2883.76 1.63467
\(147\) −2472.87 + 1240.39i −1.38748 + 0.695957i
\(148\) 3463.21 1.92347
\(149\) 466.329 2043.12i 0.256397 1.12335i −0.668674 0.743556i \(-0.733138\pi\)
0.925071 0.379794i \(-0.124005\pi\)
\(150\) 1463.07 1834.63i 0.796394 0.998646i
\(151\) 1131.64 + 544.968i 0.609877 + 0.293701i 0.713215 0.700945i \(-0.247238\pi\)
−0.103339 + 0.994646i \(0.532953\pi\)
\(152\) −2.32000 + 2.90918i −0.00123800 + 0.00155241i
\(153\) −1252.50 1570.58i −0.661820 0.829896i
\(154\) −2460.50 + 3136.93i −1.28748 + 1.64143i
\(155\) −589.371 + 739.047i −0.305415 + 0.382979i
\(156\) −936.737 4104.11i −0.480763 2.10636i
\(157\) 414.149 + 519.326i 0.210527 + 0.263992i 0.875872 0.482544i \(-0.160287\pi\)
−0.665345 + 0.746536i \(0.731716\pi\)
\(158\) −215.240 + 943.027i −0.108377 + 0.474831i
\(159\) −1101.61 + 530.508i −0.549455 + 0.264604i
\(160\) 802.611 3516.47i 0.396575 1.73751i
\(161\) 1130.84 1441.73i 0.553557 0.705739i
\(162\) 275.113 + 1205.35i 0.133425 + 0.584575i
\(163\) 270.589 + 339.307i 0.130025 + 0.163047i 0.842582 0.538568i \(-0.181034\pi\)
−0.712557 + 0.701614i \(0.752463\pi\)
\(164\) −333.115 + 160.420i −0.158609 + 0.0763822i
\(165\) 6085.43 2.87121
\(166\) −1691.42 −0.790843
\(167\) −1611.06 + 775.845i −0.746512 + 0.359501i −0.768155 0.640265i \(-0.778825\pi\)
0.0216425 + 0.999766i \(0.493110\pi\)
\(168\) −48.7354 + 0.392999i −0.0223810 + 0.000180479i
\(169\) −1778.55 856.505i −0.809536 0.389852i
\(170\) 2680.68 + 1290.95i 1.20941 + 0.582419i
\(171\) 96.5759 + 423.127i 0.0431891 + 0.189224i
\(172\) −353.514 1548.85i −0.156716 0.686618i
\(173\) 802.828 + 386.622i 0.352820 + 0.169909i 0.601896 0.798575i \(-0.294412\pi\)
−0.249075 + 0.968484i \(0.580127\pi\)
\(174\) −1241.39 597.822i −0.540860 0.260464i
\(175\) −1343.59 + 10.8346i −0.580376 + 0.00468012i
\(176\) 3063.50 1475.30i 1.31205 0.631848i
\(177\) 1385.12 0.588205
\(178\) 2519.46 1.06091
\(179\) −2473.15 + 1191.00i −1.03269 + 0.497317i −0.871907 0.489672i \(-0.837116\pi\)
−0.160784 + 0.986990i \(0.551402\pi\)
\(180\) 2695.03 + 3379.46i 1.11597 + 1.39939i
\(181\) −922.188 4040.37i −0.378706 1.65922i −0.701440 0.712728i \(-0.747459\pi\)
0.322735 0.946490i \(-0.395398\pi\)
\(182\) −2960.28 + 3774.10i −1.20566 + 1.53712i
\(183\) 9.02332 39.5338i 0.00364493 0.0159695i
\(184\) 29.0826 14.0055i 0.0116522 0.00561139i
\(185\) −1340.30 + 5872.25i −0.532654 + 2.33371i
\(186\) −1356.29 1700.73i −0.534666 0.670450i
\(187\) 630.551 + 2762.62i 0.246580 + 1.08034i
\(188\) −2865.49 + 3593.21i −1.11163 + 1.39395i
\(189\) −1019.17 + 1299.35i −0.392241 + 0.500075i
\(190\) −400.788 502.573i −0.153033 0.191897i
\(191\) 2830.80 3549.71i 1.07241 1.34476i 0.137244 0.990537i \(-0.456176\pi\)
0.935163 0.354218i \(-0.115253\pi\)
\(192\) 3795.95 + 1828.03i 1.42682 + 0.687119i
\(193\) −1759.36 + 2206.17i −0.656174 + 0.822816i −0.992921 0.118779i \(-0.962102\pi\)
0.336747 + 0.941595i \(0.390673\pi\)
\(194\) 1503.31 6586.42i 0.556346 2.43751i
\(195\) 7321.51 2.68874
\(196\) 1762.98 + 2139.01i 0.642485 + 0.779523i
\(197\) −2402.69 −0.868958 −0.434479 0.900682i \(-0.643067\pi\)
−0.434479 + 0.900682i \(0.643067\pi\)
\(198\) −1822.87 + 7986.53i −0.654273 + 2.86656i
\(199\) 3258.86 4086.49i 1.16088 1.45569i 0.294959 0.955510i \(-0.404694\pi\)
0.865919 0.500185i \(-0.166735\pi\)
\(200\) −21.3263 10.2702i −0.00753997 0.00363106i
\(201\) −987.215 + 1237.93i −0.346432 + 0.434412i
\(202\) 318.596 + 399.507i 0.110972 + 0.139155i
\(203\) 181.752 + 767.719i 0.0628399 + 0.265435i
\(204\) −2145.31 + 2690.13i −0.736283 + 0.923270i
\(205\) −143.090 626.918i −0.0487504 0.213589i
\(206\) −1343.06 1684.14i −0.454248 0.569610i
\(207\) 837.790 3670.60i 0.281306 1.23248i
\(208\) 3685.76 1774.97i 1.22866 0.591692i
\(209\) 136.229 596.860i 0.0450870 0.197539i
\(210\) 1807.26 8223.25i 0.593872 2.70218i
\(211\) −499.317 2187.65i −0.162912 0.713763i −0.988716 0.149805i \(-0.952135\pi\)
0.825804 0.563957i \(-0.190722\pi\)
\(212\) 763.821 + 957.802i 0.247450 + 0.310293i
\(213\) −579.143 + 278.901i −0.186302 + 0.0897182i
\(214\) −2872.70 −0.917634
\(215\) 2763.05 0.876458
\(216\) −26.2107 + 12.6224i −0.00825653 + 0.00397614i
\(217\) −267.364 + 1216.54i −0.0836400 + 0.380571i
\(218\) 7998.32 + 3851.79i 2.48493 + 1.19668i
\(219\) −5225.73 2516.58i −1.61243 0.776506i
\(220\) −1356.77 5944.40i −0.415788 1.82169i
\(221\) 758.629 + 3323.77i 0.230909 + 1.01168i
\(222\) −12488.4 6014.08i −3.77552 1.81819i
\(223\) −2087.92 1005.49i −0.626985 0.301940i 0.0932794 0.995640i \(-0.470265\pi\)
−0.720264 + 0.693700i \(0.755979\pi\)
\(224\) −1094.91 4624.89i −0.326593 1.37953i
\(225\) −2487.45 + 1197.89i −0.737023 + 0.354932i
\(226\) −5269.73 −1.55105
\(227\) 392.392 0.114731 0.0573656 0.998353i \(-0.481730\pi\)
0.0573656 + 0.998353i \(0.481730\pi\)
\(228\) 669.763 322.541i 0.194544 0.0936877i
\(229\) 265.331 + 332.715i 0.0765659 + 0.0960106i 0.818639 0.574308i \(-0.194729\pi\)
−0.742073 + 0.670319i \(0.766157\pi\)
\(230\) 1240.86 + 5436.57i 0.355739 + 1.55859i
\(231\) 7196.25 3537.30i 2.04969 1.00752i
\(232\) −3.09271 + 13.5500i −0.000875199 + 0.00383450i
\(233\) −2149.94 + 1035.36i −0.604496 + 0.291110i −0.710989 0.703204i \(-0.751752\pi\)
0.106493 + 0.994313i \(0.466038\pi\)
\(234\) −2193.14 + 9608.76i −0.612692 + 2.68438i
\(235\) −4983.70 6249.37i −1.38341 1.73474i
\(236\) −308.819 1353.02i −0.0851796 0.373196i
\(237\) 1213.00 1521.05i 0.332459 0.416890i
\(238\) 3920.40 31.6139i 1.06774 0.00861019i
\(239\) 2399.84 + 3009.30i 0.649509 + 0.814459i 0.992156 0.125006i \(-0.0398949\pi\)
−0.342647 + 0.939464i \(0.611323\pi\)
\(240\) −4477.16 + 5614.18i −1.20416 + 1.50997i
\(241\) −685.875 330.300i −0.183324 0.0882842i 0.339970 0.940436i \(-0.389583\pi\)
−0.523294 + 0.852152i \(0.675297\pi\)
\(242\) 3876.83 4861.39i 1.02980 1.29133i
\(243\) 1089.05 4771.44i 0.287500 1.25962i
\(244\) −40.6293 −0.0106599
\(245\) −4309.22 + 2161.50i −1.12370 + 0.563647i
\(246\) 1479.80 0.383530
\(247\) 163.900 718.094i 0.0422216 0.184985i
\(248\) −13.6811 + 17.1556i −0.00350303 + 0.00439266i
\(249\) 3065.07 + 1476.06i 0.780085 + 0.375669i
\(250\) −1843.23 + 2311.34i −0.466304 + 0.584727i
\(251\) 1546.05 + 1938.69i 0.388789 + 0.487526i 0.937254 0.348648i \(-0.113359\pi\)
−0.548465 + 0.836174i \(0.684788\pi\)
\(252\) 5151.36 + 2429.79i 1.28772 + 0.607390i
\(253\) −3311.28 + 4152.21i −0.822838 + 1.03181i
\(254\) 828.607 + 3630.36i 0.204691 + 0.896808i
\(255\) −3731.16 4678.72i −0.916291 1.14899i
\(256\) −892.625 + 3910.85i −0.217926 + 0.954796i
\(257\) −1150.25 + 553.932i −0.279186 + 0.134449i −0.568237 0.822865i \(-0.692374\pi\)
0.289051 + 0.957314i \(0.406660\pi\)
\(258\) −1414.89 + 6199.05i −0.341424 + 1.49588i
\(259\) 1828.42 + 7723.24i 0.438659 + 1.85289i
\(260\) −1632.36 7151.83i −0.389364 1.70591i
\(261\) 1010.74 + 1267.42i 0.239705 + 0.300580i
\(262\) −8158.90 + 3929.12i −1.92389 + 0.926496i
\(263\) 1700.49 0.398694 0.199347 0.979929i \(-0.436118\pi\)
0.199347 + 0.979929i \(0.436118\pi\)
\(264\) 141.262 0.0329320
\(265\) −1919.67 + 924.462i −0.444997 + 0.214299i
\(266\) −766.080 361.344i −0.176584 0.0832910i
\(267\) −4565.58 2198.67i −1.04647 0.503956i
\(268\) 1429.34 + 688.335i 0.325787 + 0.156891i
\(269\) 230.905 + 1011.66i 0.0523364 + 0.229301i 0.994331 0.106326i \(-0.0339089\pi\)
−0.941995 + 0.335627i \(0.891052\pi\)
\(270\) −1118.32 4899.70i −0.252070 1.10439i
\(271\) 4210.10 + 2027.48i 0.943711 + 0.454467i 0.841477 0.540293i \(-0.181687\pi\)
0.102234 + 0.994760i \(0.467401\pi\)
\(272\) −3012.60 1450.79i −0.671565 0.323408i
\(273\) 8657.96 4255.80i 1.91943 0.943489i
\(274\) 5699.39 2744.68i 1.25662 0.605154i
\(275\) 3894.46 0.853980
\(276\) −6448.78 −1.40642
\(277\) 6143.73 2958.66i 1.33264 0.641765i 0.374276 0.927317i \(-0.377891\pi\)
0.958363 + 0.285553i \(0.0921771\pi\)
\(278\) −3812.98 4781.33i −0.822617 1.03153i
\(279\) 569.513 + 2495.20i 0.122207 + 0.535425i
\(280\) −84.9262 + 0.684840i −0.0181261 + 0.000146168i
\(281\) −1195.11 + 5236.11i −0.253716 + 1.11160i 0.674122 + 0.738620i \(0.264522\pi\)
−0.927838 + 0.372983i \(0.878335\pi\)
\(282\) 16572.8 7981.05i 3.49963 1.68534i
\(283\) 89.8366 393.600i 0.0188701 0.0826752i −0.964616 0.263658i \(-0.915071\pi\)
0.983486 + 0.180983i \(0.0579280\pi\)
\(284\) 401.560 + 503.540i 0.0839020 + 0.105210i
\(285\) 287.697 + 1260.48i 0.0597955 + 0.261981i
\(286\) 8668.14 10869.5i 1.79216 2.24730i
\(287\) −533.620 658.179i −0.109751 0.135370i
\(288\) −6088.88 7635.21i −1.24580 1.56218i
\(289\) −1325.80 + 1662.50i −0.269855 + 0.338388i
\(290\) −2163.25 1041.76i −0.438035 0.210947i
\(291\) −8471.99 + 10623.5i −1.70666 + 2.14008i
\(292\) −1293.16 + 5665.71i −0.259166 + 1.13548i
\(293\) −3581.72 −0.714152 −0.357076 0.934075i \(-0.616226\pi\)
−0.357076 + 0.934075i \(0.616226\pi\)
\(294\) −2642.80 10774.8i −0.524255 2.13742i
\(295\) 2413.72 0.476379
\(296\) −31.1126 + 136.313i −0.00610940 + 0.0267670i
\(297\) 2984.28 3742.17i 0.583049 0.731121i
\(298\) 7571.70 + 3646.34i 1.47187 + 0.708814i
\(299\) −3983.87 + 4995.61i −0.770545 + 0.966232i
\(300\) 2948.41 + 3697.19i 0.567422 + 0.711524i
\(301\) 3267.41 1606.09i 0.625683 0.307553i
\(302\) −3140.42 + 3937.97i −0.598381 + 0.750346i
\(303\) −228.697 1001.99i −0.0433608 0.189976i
\(304\) 450.413 + 564.800i 0.0849769 + 0.106558i
\(305\) 15.7240 68.8915i 0.00295199 0.0129335i
\(306\) 7258.03 3495.28i 1.35593 0.652980i
\(307\) 330.774 1449.21i 0.0614926 0.269417i −0.934830 0.355095i \(-0.884449\pi\)
0.996323 + 0.0856781i \(0.0273057\pi\)
\(308\) −5059.75 6240.82i −0.936059 1.15456i
\(309\) 964.083 + 4223.93i 0.177491 + 0.777640i
\(310\) −2363.47 2963.70i −0.433019 0.542989i
\(311\) 1418.79 683.253i 0.258689 0.124578i −0.300045 0.953925i \(-0.597002\pi\)
0.558734 + 0.829347i \(0.311287\pi\)
\(312\) 169.955 0.0308391
\(313\) 1514.08 0.273421 0.136711 0.990611i \(-0.456347\pi\)
0.136711 + 0.990611i \(0.456347\pi\)
\(314\) −2399.93 + 1155.74i −0.431324 + 0.207715i
\(315\) −6113.61 + 7794.34i −1.09353 + 1.39416i
\(316\) −1756.24 845.762i −0.312647 0.150563i
\(317\) 3306.36 + 1592.26i 0.585816 + 0.282114i 0.703222 0.710970i \(-0.251744\pi\)
−0.117407 + 0.993084i \(0.537458\pi\)
\(318\) −1091.06 4780.27i −0.192402 0.842969i
\(319\) −508.840 2229.37i −0.0893089 0.391288i
\(320\) 6614.82 + 3185.53i 1.15556 + 0.556489i
\(321\) 5205.69 + 2506.93i 0.905151 + 0.435898i
\(322\) 4627.50 + 5707.67i 0.800870 + 0.987813i
\(323\) −542.416 + 261.214i −0.0934391 + 0.0449979i
\(324\) −2491.51 −0.427214
\(325\) 4685.50 0.799707
\(326\) −1568.02 + 755.118i −0.266394 + 0.128289i
\(327\) −11132.6 13959.8i −1.88267 2.36080i
\(328\) −3.32156 14.5527i −0.000559154 0.00244981i
\(329\) −9526.01 4493.22i −1.59631 0.752946i
\(330\) −5430.29 + 23791.7i −0.905842 + 3.96875i
\(331\) 4118.60 1983.41i 0.683924 0.329360i −0.0594551 0.998231i \(-0.518936\pi\)
0.743379 + 0.668871i \(0.233222\pi\)
\(332\) 758.484 3323.13i 0.125383 0.549340i
\(333\) 10168.0 + 12750.3i 1.67328 + 2.09823i
\(334\) −1595.64 6990.94i −0.261405 1.14529i
\(335\) −1720.32 + 2157.21i −0.280571 + 0.351824i
\(336\) −2031.04 + 9241.44i −0.329768 + 1.50048i
\(337\) 2608.10 + 3270.45i 0.421579 + 0.528643i 0.946585 0.322455i \(-0.104508\pi\)
−0.525006 + 0.851099i \(0.675937\pi\)
\(338\) 4935.68 6189.15i 0.794278 0.995993i
\(339\) 9549.42 + 4598.76i 1.52995 + 0.736785i
\(340\) −3738.42 + 4687.83i −0.596306 + 0.747744i
\(341\) 803.351 3519.71i 0.127577 0.558953i
\(342\) −1740.44 −0.275182
\(343\) −3839.39 + 5060.90i −0.604396 + 0.796684i
\(344\) 64.1390 0.0100527
\(345\) 2495.75 10934.6i 0.389469 1.70638i
\(346\) −2227.94 + 2793.75i −0.346170 + 0.434084i
\(347\) −2293.83 1104.65i −0.354868 0.170895i 0.247953 0.968772i \(-0.420242\pi\)
−0.602821 + 0.797877i \(0.705957\pi\)
\(348\) 1731.22 2170.88i 0.266675 0.334400i
\(349\) 1430.62 + 1793.94i 0.219425 + 0.275151i 0.879345 0.476186i \(-0.157981\pi\)
−0.659919 + 0.751336i \(0.729410\pi\)
\(350\) 1156.58 5262.59i 0.176634 0.803706i
\(351\) 3590.45 4502.28i 0.545995 0.684656i
\(352\) 3065.35 + 13430.2i 0.464159 + 2.03361i
\(353\) −889.959 1115.97i −0.134186 0.168264i 0.710198 0.704002i \(-0.248605\pi\)
−0.844385 + 0.535737i \(0.820034\pi\)
\(354\) −1236.01 + 5415.30i −0.185573 + 0.813050i
\(355\) −1009.22 + 486.012i −0.150883 + 0.0726616i
\(356\) −1129.80 + 4949.97i −0.168200 + 0.736932i
\(357\) −7131.85 3363.94i −1.05730 0.498708i
\(358\) −2449.47 10731.8i −0.361616 1.58434i
\(359\) −6257.85 7847.10i −0.919991 1.15363i −0.987768 0.155932i \(-0.950162\pi\)
0.0677763 0.997701i \(-0.478410\pi\)
\(360\) −157.228 + 75.7170i −0.0230185 + 0.0110851i
\(361\) −6728.93 −0.981037
\(362\) 16619.2 2.41294
\(363\) −11267.7 + 5426.24i −1.62920 + 0.784584i
\(364\) −6087.49 7508.46i −0.876570 1.08118i
\(365\) −9106.36 4385.39i −1.30589 0.628882i
\(366\) 146.510 + 70.5554i 0.0209240 + 0.0100765i
\(367\) −183.817 805.355i −0.0261449 0.114548i 0.960172 0.279411i \(-0.0901391\pi\)
−0.986317 + 0.164863i \(0.947282\pi\)
\(368\) −1394.50 6109.71i −0.197536 0.865464i
\(369\) −1568.63 755.414i −0.221300 0.106573i
\(370\) −21762.2 10480.1i −3.05774 1.47253i
\(371\) −1732.71 + 2209.06i −0.242474 + 0.309134i
\(372\) 3949.62 1902.04i 0.550480 0.265097i
\(373\) −7560.64 −1.04953 −0.524766 0.851247i \(-0.675847\pi\)
−0.524766 + 0.851247i \(0.675847\pi\)
\(374\) −11363.5 −1.57110
\(375\) 5357.21 2579.89i 0.737720 0.355267i
\(376\) −115.687 145.067i −0.0158673 0.0198970i
\(377\) −612.196 2682.20i −0.0836331 0.366421i
\(378\) −4170.52 5144.02i −0.567483 0.699947i
\(379\) 522.267 2288.20i 0.0707838 0.310124i −0.927126 0.374750i \(-0.877728\pi\)
0.997910 + 0.0646264i \(0.0205856\pi\)
\(380\) 1167.13 562.060i 0.157559 0.0758764i
\(381\) 1666.58 7301.78i 0.224099 0.981842i
\(382\) 11352.0 + 14234.9i 1.52046 + 1.90660i
\(383\) 1378.91 + 6041.40i 0.183966 + 0.806008i 0.979717 + 0.200384i \(0.0642191\pi\)
−0.795751 + 0.605623i \(0.792924\pi\)
\(384\) −210.004 + 263.337i −0.0279082 + 0.0349957i
\(385\) 12540.2 6164.09i 1.66002 0.815977i
\(386\) −7055.31 8847.08i −0.930326 1.16659i
\(387\) 4664.36 5848.92i 0.612668 0.768262i
\(388\) 12266.2 + 5907.09i 1.60495 + 0.772905i
\(389\) 8008.45 10042.3i 1.04382 1.30890i 0.0941790 0.995555i \(-0.469977\pi\)
0.949638 0.313350i \(-0.101451\pi\)
\(390\) −6533.30 + 28624.3i −0.848273 + 3.71653i
\(391\) 5222.63 0.675498
\(392\) −100.030 + 50.1752i −0.0128885 + 0.00646487i
\(393\) 18213.8 2.33782
\(394\) 2144.03 9393.60i 0.274149 1.20112i
\(395\) 2113.77 2650.58i 0.269254 0.337634i
\(396\) −14873.7 7162.79i −1.88745 0.908949i
\(397\) −5414.53 + 6789.60i −0.684502 + 0.858338i −0.995760 0.0919870i \(-0.970678\pi\)
0.311258 + 0.950325i \(0.399250\pi\)
\(398\) 13068.6 + 16387.4i 1.64590 + 2.06389i
\(399\) 1072.90 + 1323.34i 0.134617 + 0.166040i
\(400\) −2865.22 + 3592.87i −0.358153 + 0.449109i
\(401\) 2065.35 + 9048.88i 0.257203 + 1.12688i 0.924227 + 0.381844i \(0.124711\pi\)
−0.667023 + 0.745037i \(0.732432\pi\)
\(402\) −3958.89 4964.29i −0.491172 0.615911i
\(403\) 966.528 4234.64i 0.119469 0.523430i
\(404\) −927.779 + 446.795i −0.114254 + 0.0550219i
\(405\) 964.246 4224.64i 0.118306 0.518330i
\(406\) −3163.67 + 25.5117i −0.386725 + 0.00311853i
\(407\) −5118.92 22427.4i −0.623428 2.73142i
\(408\) −86.6117 108.608i −0.0105096 0.0131786i
\(409\) 9085.06 4375.13i 1.09835 0.528940i 0.205214 0.978717i \(-0.434211\pi\)
0.893141 + 0.449777i \(0.148497\pi\)
\(410\) 2578.69 0.310616
\(411\) −12723.2 −1.52698
\(412\) 3911.09 1883.48i 0.467683 0.225224i
\(413\) 2854.31 1403.03i 0.340076 0.167163i
\(414\) 13603.0 + 6550.87i 1.61486 + 0.777676i
\(415\) 5341.20 + 2572.19i 0.631781 + 0.304250i
\(416\) 3687.99 + 16158.1i 0.434660 + 1.90437i
\(417\) 2737.06 + 11991.9i 0.321426 + 1.40826i
\(418\) 2211.93 + 1065.21i 0.258825 + 0.124644i
\(419\) 12552.2 + 6044.81i 1.46352 + 0.704794i 0.984883 0.173220i \(-0.0554172\pi\)
0.478636 + 0.878014i \(0.341131\pi\)
\(420\) 15345.8 + 7238.27i 1.78285 + 0.840932i
\(421\) −12528.9 + 6033.59i −1.45041 + 0.698478i −0.982665 0.185388i \(-0.940646\pi\)
−0.467740 + 0.883866i \(0.654932\pi\)
\(422\) 8998.42 1.03800
\(423\) −21641.9 −2.48763
\(424\) −44.5614 + 21.4596i −0.00510399 + 0.00245795i
\(425\) −2387.81 2994.22i −0.272531 0.341743i
\(426\) −573.599 2513.10i −0.0652370 0.285822i
\(427\) −21.4505 90.6068i −0.00243106 0.0102688i
\(428\) 1288.20 5643.98i 0.145485 0.637412i
\(429\) −25193.3 + 12132.5i −2.83530 + 1.36541i
\(430\) −2465.59 + 10802.5i −0.276515 + 1.21149i
\(431\) 20.9469 + 26.2666i 0.00234102 + 0.00293554i 0.783001 0.622021i \(-0.213688\pi\)
−0.780660 + 0.624956i \(0.785117\pi\)
\(432\) 1256.79 + 5506.37i 0.139971 + 0.613253i
\(433\) 3761.88 4717.24i 0.417516 0.523548i −0.527948 0.849277i \(-0.677038\pi\)
0.945463 + 0.325729i \(0.105610\pi\)
\(434\) −4517.61 2130.86i −0.499659 0.235679i
\(435\) 3010.96 + 3775.62i 0.331872 + 0.416154i
\(436\) −11154.3 + 13987.0i −1.22521 + 1.53637i
\(437\) −1016.60 489.568i −0.111283 0.0535909i
\(438\) 14502.0 18184.9i 1.58204 1.98381i
\(439\) −1081.49 + 4738.33i −0.117578 + 0.515144i 0.881499 + 0.472187i \(0.156535\pi\)
−0.999077 + 0.0429575i \(0.986322\pi\)
\(440\) 246.163 0.0266712
\(441\) −2698.93 + 12770.8i −0.291430 + 1.37898i
\(442\) −13671.6 −1.47125
\(443\) −1321.23 + 5788.68i −0.141701 + 0.620831i 0.853339 + 0.521356i \(0.174574\pi\)
−0.995040 + 0.0994755i \(0.968284\pi\)
\(444\) 17416.0 21839.0i 1.86155 2.33431i
\(445\) −7955.97 3831.39i −0.847526 0.408147i
\(446\) 5794.22 7265.72i 0.615167 0.771395i
\(447\) −10538.8 13215.2i −1.11514 1.39834i
\(448\) 9673.94 78.0101i 1.02020 0.00822685i
\(449\) 844.677 1059.19i 0.0887813 0.111328i −0.735457 0.677572i \(-0.763032\pi\)
0.824238 + 0.566243i \(0.191604\pi\)
\(450\) −2463.64 10793.9i −0.258082 1.13073i
\(451\) 1531.24 + 1920.11i 0.159874 + 0.200476i
\(452\) 2363.10 10353.4i 0.245909 1.07740i
\(453\) 9127.41 4395.53i 0.946674 0.455894i
\(454\) −350.149 + 1534.10i −0.0361967 + 0.158588i
\(455\) 15087.4 7416.15i 1.55452 0.764120i
\(456\) 6.67834 + 29.2597i 0.000685838 + 0.00300485i
\(457\) −309.629 388.262i −0.0316933 0.0397421i 0.765732 0.643159i \(-0.222377\pi\)
−0.797426 + 0.603417i \(0.793805\pi\)
\(458\) −1537.55 + 740.447i −0.156867 + 0.0755433i
\(459\) −4706.89 −0.478646
\(460\) −11237.6 −1.13904
\(461\) 228.136 109.865i 0.0230485 0.0110996i −0.422324 0.906445i \(-0.638786\pi\)
0.445372 + 0.895345i \(0.353071\pi\)
\(462\) 7407.94 + 31291.0i 0.745992 + 3.15106i
\(463\) 9571.51 + 4609.39i 0.960746 + 0.462671i 0.847441 0.530889i \(-0.178142\pi\)
0.113305 + 0.993560i \(0.463856\pi\)
\(464\) 2431.10 + 1170.75i 0.243234 + 0.117136i
\(465\) 1696.56 + 7433.13i 0.169196 + 0.741297i
\(466\) −2129.36 9329.35i −0.211676 0.927411i
\(467\) 6681.26 + 3217.53i 0.662038 + 0.318821i 0.734558 0.678546i \(-0.237390\pi\)
−0.0725194 + 0.997367i \(0.523104\pi\)
\(468\) −17894.8 8617.70i −1.76750 0.851182i
\(469\) −780.413 + 3550.96i −0.0768361 + 0.349612i
\(470\) 28879.8 13907.8i 2.83431 1.36493i
\(471\) 5357.56 0.524126
\(472\) 56.0298 0.00546394
\(473\) −9507.67 + 4578.65i −0.924235 + 0.445088i
\(474\) 4864.31 + 6099.65i 0.471361 + 0.591068i
\(475\) 184.116 + 806.664i 0.0177849 + 0.0779206i
\(476\) −1695.91 + 7716.58i −0.163302 + 0.743043i
\(477\) −1283.69 + 5624.21i −0.123220 + 0.539864i
\(478\) −13906.7 + 6697.11i −1.33071 + 0.640834i
\(479\) −3893.94 + 17060.5i −0.371438 + 1.62738i 0.351306 + 0.936261i \(0.385738\pi\)
−0.722744 + 0.691116i \(0.757119\pi\)
\(480\) −18138.6 22745.1i −1.72481 2.16285i
\(481\) −6158.68 26982.9i −0.583808 2.55783i
\(482\) 1903.38 2386.76i 0.179869 0.225548i
\(483\) −3404.68 14381.3i −0.320742 1.35481i
\(484\) 7812.67 + 9796.78i 0.733722 + 0.920058i
\(485\) −14763.3 + 18512.6i −1.38220 + 1.73322i
\(486\) 17682.7 + 8515.53i 1.65042 + 0.794799i
\(487\) −1746.22 + 2189.69i −0.162482 + 0.203746i −0.856407 0.516301i \(-0.827309\pi\)
0.693925 + 0.720047i \(0.255880\pi\)
\(488\) 0.365004 1.59919i 3.38585e−5 0.000148344i
\(489\) 3500.42 0.323711
\(490\) −4605.34 18776.2i −0.424588 1.73107i
\(491\) −1083.45 −0.0995834 −0.0497917 0.998760i \(-0.515856\pi\)
−0.0497917 + 0.998760i \(0.515856\pi\)
\(492\) −663.584 + 2907.35i −0.0608062 + 0.266409i
\(493\) −1402.05 + 1758.11i −0.128083 + 0.160611i
\(494\) 2661.22 + 1281.57i 0.242376 + 0.116722i
\(495\) 17901.6 22447.9i 1.62549 2.03830i
\(496\) 2656.11 + 3330.66i 0.240449 + 0.301514i
\(497\) −910.929 + 1161.36i −0.0822148 + 0.104817i
\(498\) −8505.93 + 10666.1i −0.765382 + 0.959758i
\(499\) −2025.31 8873.45i −0.181694 0.796052i −0.980824 0.194894i \(-0.937564\pi\)
0.799131 0.601158i \(-0.205294\pi\)
\(500\) −3714.52 4657.86i −0.332236 0.416611i
\(501\) −3209.32 + 14060.9i −0.286191 + 1.25389i
\(502\) −8959.14 + 4314.50i −0.796546 + 0.383596i
\(503\) −1137.35 + 4983.05i −0.100819 + 0.441716i 0.899173 + 0.437594i \(0.144169\pi\)
−0.999992 + 0.00412206i \(0.998688\pi\)
\(504\) −141.916 + 180.931i −0.0125425 + 0.0159907i
\(505\) −398.528 1746.07i −0.0351174 0.153859i
\(506\) −13278.7 16651.0i −1.16662 1.46290i
\(507\) −14345.2 + 6908.28i −1.25659 + 0.605143i
\(508\) −7504.14 −0.655398
\(509\) 5897.73 0.513580 0.256790 0.966467i \(-0.417335\pi\)
0.256790 + 0.966467i \(0.417335\pi\)
\(510\) 21621.5 10412.4i 1.87728 0.904053i
\(511\) −13317.7 + 107.393i −1.15292 + 0.00929708i
\(512\) −14794.4 7124.59i −1.27700 0.614972i
\(513\) 916.208 + 441.222i 0.0788529 + 0.0379736i
\(514\) −1139.24 4991.34i −0.0977622 0.428324i
\(515\) 1680.01 + 7360.61i 0.143748 + 0.629801i
\(516\) −11544.8 5559.67i −0.984943 0.474323i
\(517\) 27504.8 + 13245.6i 2.33976 + 1.12677i
\(518\) −31826.5 + 256.647i −2.69957 + 0.0217692i
\(519\) 6475.35 3118.36i 0.547661 0.263740i
\(520\) 296.163 0.0249762
\(521\) 15211.3 1.27911 0.639556 0.768744i \(-0.279118\pi\)
0.639556 + 0.768744i \(0.279118\pi\)
\(522\) −5857.06 + 2820.61i −0.491104 + 0.236503i
\(523\) 5886.85 + 7381.88i 0.492188 + 0.617184i 0.964447 0.264276i \(-0.0851329\pi\)
−0.472259 + 0.881460i \(0.656561\pi\)
\(524\) −4060.84 17791.7i −0.338547 1.48327i
\(525\) −6688.40 + 8527.15i −0.556011 + 0.708867i
\(526\) −1517.42 + 6648.25i −0.125785 + 0.551098i
\(527\) −3198.65 + 1540.39i −0.264394 + 0.127325i
\(528\) 6102.66 26737.5i 0.503001 2.20379i
\(529\) −1483.12 1859.77i −0.121897 0.152853i
\(530\) −1901.29 8330.09i −0.155824 0.682710i
\(531\) 4074.64 5109.43i 0.333002 0.417571i
\(532\) 1053.46 1343.08i 0.0858523 0.109455i
\(533\) 1842.26 + 2310.13i 0.149714 + 0.187735i
\(534\) 12670.0 15887.7i 1.02675 1.28750i
\(535\) 9071.44 + 4368.58i 0.733070 + 0.353028i
\(536\) −39.9340 + 50.0756i −0.00321807 + 0.00403533i
\(537\) −4926.64 + 21585.0i −0.395904 + 1.73457i
\(538\) −4161.24 −0.333465
\(539\) 11246.2 14578.5i 0.898718 1.16501i
\(540\) 10127.9 0.807103
\(541\) 1195.72 5238.80i 0.0950242 0.416328i −0.904933 0.425554i \(-0.860079\pi\)
0.999957 + 0.00922532i \(0.00293655\pi\)
\(542\) −11683.5 + 14650.7i −0.925923 + 1.16107i
\(543\) −30116.1 14503.2i −2.38012 1.14621i
\(544\) 8446.21 10591.2i 0.665677 0.834733i
\(545\) −19399.7 24326.4i −1.52475 1.91198i
\(546\) 8912.65 + 37646.9i 0.698583 + 2.95080i
\(547\) −6541.76 + 8203.11i −0.511345 + 0.641206i −0.968746 0.248054i \(-0.920209\pi\)
0.457402 + 0.889260i \(0.348780\pi\)
\(548\) 2836.69 + 12428.4i 0.221127 + 0.968820i
\(549\) −119.288 149.582i −0.00927337 0.0116284i
\(550\) −3475.19 + 15225.8i −0.269423 + 1.18042i
\(551\) 437.717 210.793i 0.0338428 0.0162978i
\(552\) 57.9342 253.826i 0.00446711 0.0195717i
\(553\) 958.899 4363.09i 0.0737369 0.335511i
\(554\) 6084.92 + 26659.8i 0.466649 + 2.04452i
\(555\) 30290.2 + 37982.7i 2.31666 + 2.90500i
\(556\) 11103.7 5347.27i 0.846947 0.407868i
\(557\) −14248.6 −1.08390 −0.541949 0.840411i \(-0.682313\pi\)
−0.541949 + 0.840411i \(0.682313\pi\)
\(558\) −10263.5 −0.778651
\(559\) −11438.9 + 5508.67i −0.865497 + 0.416801i
\(560\) −3539.28 + 16104.1i −0.267075 + 1.21522i
\(561\) 20592.0 + 9916.60i 1.54973 + 0.746309i
\(562\) −19404.7 9344.83i −1.45648 0.701402i
\(563\) −3173.91 13905.8i −0.237592 1.04096i −0.943166 0.332323i \(-0.892168\pi\)
0.705573 0.708637i \(-0.250690\pi\)
\(564\) 8248.61 + 36139.5i 0.615831 + 2.69813i
\(565\) 16640.8 + 8013.80i 1.23909 + 0.596713i
\(566\) 1458.66 + 702.453i 0.108325 + 0.0521666i
\(567\) −1315.41 5556.28i −0.0974288 0.411538i
\(568\) −23.4270 + 11.2819i −0.00173059 + 0.000833409i
\(569\) −2648.01 −0.195098 −0.0975488 0.995231i \(-0.531100\pi\)
−0.0975488 + 0.995231i \(0.531100\pi\)
\(570\) −5184.73 −0.380990
\(571\) 18301.3 8813.47i 1.34131 0.645941i 0.380921 0.924607i \(-0.375607\pi\)
0.960388 + 0.278667i \(0.0898925\pi\)
\(572\) 17468.2 + 21904.5i 1.27689 + 1.60118i
\(573\) −8148.76 35702.0i −0.594100 2.60292i
\(574\) 3049.40 1498.92i 0.221741 0.108996i
\(575\) 1597.19 6997.76i 0.115839 0.507525i
\(576\) 17909.8 8624.92i 1.29556 0.623909i
\(577\) 1558.43 6827.92i 0.112441 0.492634i −0.887078 0.461619i \(-0.847269\pi\)
0.999519 0.0310154i \(-0.00987409\pi\)
\(578\) −5316.66 6666.88i −0.382602 0.479767i
\(579\) 5064.50 + 22189.0i 0.363512 + 1.59265i
\(580\) 3016.82 3782.97i 0.215977 0.270826i
\(581\) 7811.31 62.9900i 0.557776 0.00449787i
\(582\) −33974.0 42602.0i −2.41970 3.03421i
\(583\) 5073.65 6362.15i 0.360427 0.451961i
\(584\) −211.387 101.799i −0.0149782 0.00721311i
\(585\) 21537.8 27007.5i 1.52218 1.90876i
\(586\) 3196.13 14003.2i 0.225309 0.987142i
\(587\) 13324.8 0.936919 0.468459 0.883485i \(-0.344809\pi\)
0.468459 + 0.883485i \(0.344809\pi\)
\(588\) 22354.4 360.552i 1.56782 0.0252873i
\(589\) 767.022 0.0536581
\(590\) −2153.86 + 9436.69i −0.150294 + 0.658479i
\(591\) −12082.8 + 15151.4i −0.840981 + 1.05456i
\(592\) 24456.8 + 11777.8i 1.69792 + 0.817674i
\(593\) −8944.40 + 11215.9i −0.619397 + 0.776700i −0.988260 0.152784i \(-0.951176\pi\)
0.368862 + 0.929484i \(0.379747\pi\)
\(594\) 11967.4 + 15006.7i 0.826650 + 1.03659i
\(595\) −12428.0 5862.01i −0.856297 0.403897i
\(596\) −10559.3 + 13241.0i −0.725716 + 0.910018i
\(597\) −9380.97 41100.7i −0.643112 2.81766i
\(598\) −15975.9 20033.2i −1.09248 1.36993i
\(599\) 4381.48 19196.5i 0.298869 1.30943i −0.572946 0.819593i \(-0.694200\pi\)
0.871815 0.489836i \(-0.162943\pi\)
\(600\) −172.010 + 82.8359i −0.0117038 + 0.00563627i
\(601\) −3668.24 + 16071.6i −0.248970 + 1.09081i 0.683611 + 0.729846i \(0.260408\pi\)
−0.932581 + 0.360961i \(0.882449\pi\)
\(602\) 3363.53 + 14207.5i 0.227720 + 0.961885i
\(603\) 1662.36 + 7283.26i 0.112266 + 0.491870i
\(604\) −6328.66 7935.88i −0.426340 0.534613i
\(605\) −19635.1 + 9455.77i −1.31947 + 0.635424i
\(606\) 4121.47 0.276276
\(607\) −10083.7 −0.674277 −0.337138 0.941455i \(-0.609459\pi\)
−0.337138 + 0.941455i \(0.609459\pi\)
\(608\) −2636.90 + 1269.86i −0.175889 + 0.0847034i
\(609\) 5755.24 + 2714.62i 0.382946 + 0.180627i
\(610\) 255.308 + 122.950i 0.0169461 + 0.00816081i
\(611\) 33091.6 + 15936.1i 2.19107 + 1.05516i
\(612\) 3612.46 + 15827.2i 0.238603 + 1.04539i
\(613\) 4675.10 + 20483.0i 0.308035 + 1.34959i 0.857677 + 0.514189i \(0.171907\pi\)
−0.549642 + 0.835401i \(0.685236\pi\)
\(614\) 5370.70 + 2586.39i 0.353003 + 0.169997i
\(615\) −4672.92 2250.36i −0.306390 0.147550i
\(616\) 291.096 143.088i 0.0190400 0.00935904i
\(617\) 25378.4 12221.6i 1.65591 0.797445i 0.656855 0.754017i \(-0.271886\pi\)
0.999057 0.0434280i \(-0.0138279\pi\)
\(618\) −17374.2 −1.13090
\(619\) −21371.3 −1.38770 −0.693849 0.720121i \(-0.744086\pi\)
−0.693849 + 0.720121i \(0.744086\pi\)
\(620\) 6882.61 3314.49i 0.445826 0.214699i
\(621\) −5500.22 6897.05i −0.355420 0.445683i
\(622\) 1405.21 + 6156.62i 0.0905848 + 0.396878i
\(623\) −11635.3 + 93.8266i −0.748250 + 0.00603384i
\(624\) 7342.24 32168.5i 0.471033 2.06373i
\(625\) 17506.1 8430.47i 1.12039 0.539550i
\(626\) −1351.08 + 5919.47i −0.0862620 + 0.377939i
\(627\) −3078.71 3860.58i −0.196096 0.245896i
\(628\) −1194.49 5233.40i −0.0759002 0.332540i
\(629\) −14104.6 + 17686.6i −0.894095 + 1.12116i
\(630\) −25017.4 30857.1i −1.58209 1.95139i
\(631\) 437.345 + 548.413i 0.0275918 + 0.0345990i 0.795436 0.606038i \(-0.207242\pi\)
−0.767844 + 0.640637i \(0.778670\pi\)
\(632\) 49.0671 61.5283i 0.00308827 0.00387257i
\(633\) −16306.3 7852.69i −1.02388 0.493075i
\(634\) −9175.52 + 11505.7i −0.574774 + 0.720743i
\(635\) 2904.19 12724.1i 0.181495 0.795181i
\(636\) 9881.04 0.616051
\(637\) 13530.6 17539.8i 0.841602 1.09097i
\(638\) 9170.05 0.569037
\(639\) −674.867 + 2956.79i −0.0417799 + 0.183050i
\(640\) −365.953 + 458.891i −0.0226025 + 0.0283426i
\(641\) −18209.2 8769.09i −1.12203 0.540341i −0.221510 0.975158i \(-0.571099\pi\)
−0.900519 + 0.434817i \(0.856813\pi\)
\(642\) −14446.4 + 18115.2i −0.888090 + 1.11363i
\(643\) 8602.92 + 10787.7i 0.527630 + 0.661627i 0.972209 0.234113i \(-0.0752184\pi\)
−0.444580 + 0.895739i \(0.646647\pi\)
\(644\) −13288.9 + 6532.14i −0.813133 + 0.399693i
\(645\) 13895.0 17423.8i 0.848240 1.06366i
\(646\) −537.224 2353.73i −0.0327195 0.143353i
\(647\) 9354.89 + 11730.7i 0.568437 + 0.712798i 0.980092 0.198542i \(-0.0636206\pi\)
−0.411655 + 0.911340i \(0.635049\pi\)
\(648\) 22.3831 98.0669i 0.00135693 0.00594511i
\(649\) −8305.60 + 3999.77i −0.502347 + 0.241918i
\(650\) −4181.08 + 18318.5i −0.252301 + 1.10540i
\(651\) 6326.93 + 7803.79i 0.380909 + 0.469823i
\(652\) −780.433 3419.30i −0.0468775 0.205384i
\(653\) 12780.4 + 16026.1i 0.765903 + 0.960412i 0.999930 0.0118177i \(-0.00376179\pi\)
−0.234027 + 0.972230i \(0.575190\pi\)
\(654\) 64511.7 31067.2i 3.85720 1.85753i
\(655\) 31739.4 1.89337
\(656\) −2897.98 −0.172480
\(657\) −24655.8 + 11873.6i −1.46410 + 0.705073i
\(658\) 26067.2 33233.5i 1.54439 1.96896i
\(659\) −16776.9 8079.31i −0.991705 0.477580i −0.133589 0.991037i \(-0.542650\pi\)
−0.858115 + 0.513457i \(0.828365\pi\)
\(660\) −44308.3 21337.8i −2.61318 1.25844i
\(661\) −2674.31 11716.9i −0.157366 0.689464i −0.990628 0.136586i \(-0.956387\pi\)
0.833263 0.552877i \(-0.186470\pi\)
\(662\) 4079.17 + 17872.0i 0.239489 + 1.04927i
\(663\) 24774.7 + 11930.9i 1.45124 + 0.698879i
\(664\) 123.986 + 59.7084i 0.00724636 + 0.00348966i
\(665\) 1869.63 + 2306.05i 0.109024 + 0.134473i
\(666\) −58921.9 + 28375.3i −3.42819 + 1.65093i
\(667\) −4214.54 −0.244659
\(668\) 14450.6 0.836992
\(669\) −16840.5 + 8109.95i −0.973229 + 0.468683i
\(670\) −6898.75 8650.76i −0.397794 0.498818i
\(671\) 60.0536 + 263.112i 0.00345506 + 0.0151376i
\(672\) −34670.7 16353.4i −1.99026 0.938761i
\(673\) −3658.67 + 16029.7i −0.209556 + 0.918126i 0.755307 + 0.655372i \(0.227488\pi\)
−0.964863 + 0.262754i \(0.915369\pi\)
\(674\) −15113.5 + 7278.29i −0.863726 + 0.415948i
\(675\) −1439.47 + 6306.72i −0.0820817 + 0.359623i
\(676\) 9946.50 + 12472.5i 0.565914 + 0.709634i
\(677\) 1537.15 + 6734.72i 0.0872639 + 0.382328i 0.999634 0.0270373i \(-0.00860727\pi\)
−0.912371 + 0.409365i \(0.865750\pi\)
\(678\) −26500.7 + 33230.9i −1.50111 + 1.88234i
\(679\) −6697.27 + 30473.3i −0.378524 + 1.72232i
\(680\) −150.930 189.260i −0.00851160 0.0106732i
\(681\) 1973.29 2474.42i 0.111037 0.139237i
\(682\) 13043.8 + 6281.58i 0.732367 + 0.352689i
\(683\) −2128.50 + 2669.05i −0.119246 + 0.149529i −0.837871 0.545868i \(-0.816200\pi\)
0.718626 + 0.695397i \(0.244771\pi\)
\(684\) 780.465 3419.44i 0.0436284 0.191148i
\(685\) −22171.5 −1.23668
\(686\) −16360.1 19526.6i −0.910541 1.08678i
\(687\) 3432.41 0.190618
\(688\) 2770.88 12140.0i 0.153545 0.672723i
\(689\) 6104.21 7654.44i 0.337521 0.423238i
\(690\) 40523.1 + 19514.9i 2.23578 + 1.07669i
\(691\) 6176.96 7745.67i 0.340062 0.426424i −0.582167 0.813070i \(-0.697795\pi\)
0.922228 + 0.386645i \(0.126366\pi\)
\(692\) −4489.80 5630.03i −0.246642 0.309280i
\(693\) 8120.95 36951.2i 0.445150 2.02548i
\(694\) 6365.64 7982.26i 0.348179 0.436603i
\(695\) 4769.61 + 20897.0i 0.260319 + 1.14053i
\(696\) 69.8936 + 87.6439i 0.00380648 + 0.00477318i
\(697\) 537.412 2354.55i 0.0292051 0.127956i
\(698\) −8290.23 + 3992.37i −0.449556 + 0.216495i
\(699\) −4282.81 + 18764.2i −0.231746 + 1.01535i
\(700\) 9820.74 + 4632.24i 0.530270 + 0.250117i
\(701\) 6560.69 + 28744.3i 0.353486 + 1.54872i 0.769067 + 0.639168i \(0.220721\pi\)
−0.415581 + 0.909556i \(0.636422\pi\)
\(702\) 14398.3 + 18054.9i 0.774114 + 0.970708i
\(703\) 4403.43 2120.58i 0.236242 0.113768i
\(704\) −28040.3 −1.50115
\(705\) −64470.8 −3.44413
\(706\) 5157.18 2483.57i 0.274919 0.132394i
\(707\) −1486.22 1833.13i −0.0790593 0.0975136i
\(708\) −10085.2 4856.75i −0.535344 0.257808i
\(709\) 18150.7 + 8740.94i 0.961446 + 0.463008i 0.847685 0.530500i \(-0.177996\pi\)
0.113761 + 0.993508i \(0.463710\pi\)
\(710\) −999.554 4379.33i −0.0528346 0.231484i
\(711\) −2042.55 8948.99i −0.107738 0.472030i
\(712\) −184.683 88.9385i −0.00972090 0.00468134i
\(713\) −5994.93 2887.01i −0.314883 0.151640i
\(714\) 19515.8 24881.0i 1.02291 1.30413i
\(715\) −43901.9 + 21142.0i −2.29628 + 1.10583i
\(716\) 22183.2 1.15786
\(717\) 31045.1 1.61702
\(718\) 36263.3 17463.5i 1.88487 0.907704i
\(719\) −18704.4 23454.6i −0.970178 1.21656i −0.976264 0.216583i \(-0.930509\pi\)
0.00608642 0.999981i \(-0.498063\pi\)
\(720\) 7539.03 + 33030.6i 0.390226 + 1.70969i
\(721\) 6265.21 + 7727.66i 0.323618 + 0.399158i
\(722\) 6004.52 26307.5i 0.309508 1.35605i
\(723\) −5532.04 + 2664.09i −0.284562 + 0.137038i
\(724\) −7452.54 + 32651.7i −0.382557 + 1.67609i
\(725\) 1926.90 + 2416.26i 0.0987082 + 0.123776i
\(726\) −11159.8 48894.5i −0.570497 2.49951i
\(727\) 18138.9 22745.5i 0.925358 1.16036i −0.0613920 0.998114i \(-0.519554\pi\)
0.986750 0.162248i \(-0.0518746\pi\)
\(728\) 350.224 172.152i 0.0178299 0.00876425i
\(729\) −19421.9 24354.3i −0.986736 1.23733i
\(730\) 25271.2 31689.1i 1.28127 1.60667i
\(731\) 9349.69 + 4502.57i 0.473065 + 0.227816i
\(732\) −204.319 + 256.208i −0.0103167 + 0.0129368i
\(733\) 612.481 2683.46i 0.0308629 0.135219i −0.957149 0.289595i \(-0.906479\pi\)
0.988012 + 0.154376i \(0.0493366\pi\)
\(734\) 3312.66 0.166584
\(735\) −8040.05 + 38043.8i −0.403485 + 1.90921i
\(736\) 25389.2 1.27155
\(737\) 2344.91 10273.7i 0.117199 0.513483i
\(738\) 4353.14 5458.66i 0.217129 0.272271i
\(739\) −29865.2 14382.3i −1.48661 0.715916i −0.498110 0.867114i \(-0.665973\pi\)
−0.988503 + 0.151198i \(0.951687\pi\)
\(740\) 30349.1 38056.6i 1.50764 1.89052i
\(741\) −3704.06 4644.75i −0.183633 0.230269i
\(742\) −7090.41 8745.48i −0.350805 0.432691i
\(743\) 15860.6 19888.5i 0.783132 0.982017i −0.216851 0.976205i \(-0.569579\pi\)
0.999983 0.00581210i \(-0.00185006\pi\)
\(744\) 39.3825 + 172.546i 0.00194064 + 0.00850248i
\(745\) −18364.9 23028.9i −0.903139 1.13250i
\(746\) 6746.69 29559.2i 0.331118 1.45072i
\(747\) 14461.5 6964.27i 0.708323 0.341110i
\(748\) 5095.71 22325.8i 0.249088 1.09132i
\(749\) 13266.7 106.982i 0.647201 0.00521899i
\(750\) 5305.92 + 23246.8i 0.258327 + 1.13180i
\(751\) −21259.3 26658.3i −1.03297 1.29530i −0.954443 0.298393i \(-0.903549\pi\)
−0.0785280 0.996912i \(-0.525022\pi\)
\(752\) −32455.6 + 15629.8i −1.57385 + 0.757926i
\(753\) 20000.3 0.967928
\(754\) 11032.7 0.532873
\(755\) 15905.4 7659.65i 0.766699 0.369223i
\(756\) 11976.6 5887.08i 0.576172 0.283216i
\(757\) −23079.3 11114.4i −1.10810 0.533632i −0.211902 0.977291i \(-0.567966\pi\)
−0.896196 + 0.443659i \(0.853680\pi\)
\(758\) 8479.94 + 4083.72i 0.406340 + 0.195683i
\(759\) 9531.85 + 41761.7i 0.455842 + 1.99717i
\(760\) 11.6377 + 50.9880i 0.000555451 + 0.00243359i
\(761\) −7156.00 3446.15i −0.340873 0.164156i 0.255613 0.966779i \(-0.417723\pi\)
−0.596486 + 0.802623i \(0.703437\pi\)
\(762\) 27060.0 + 13031.4i 1.28646 + 0.619525i
\(763\) −37081.2 17490.4i −1.75941 0.829876i
\(764\) −33057.8 + 15919.8i −1.56543 + 0.753873i
\(765\) −28234.8 −1.33442
\(766\) −24850.0 −1.17215
\(767\) −9992.64 + 4812.20i −0.470422 + 0.226543i
\(768\) 20172.9 + 25296.0i 0.947820 + 1.18853i
\(769\) 4711.24 + 20641.3i 0.220926 + 0.967938i 0.956783 + 0.290802i \(0.0939220\pi\)
−0.735858 + 0.677136i \(0.763221\pi\)
\(770\) 12909.1 + 54527.8i 0.604170 + 2.55201i