Properties

Label 49.4.e.a.36.2
Level $49$
Weight $4$
Character 49.36
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 36.2
Character \(\chi\) \(=\) 49.36
Dual form 49.4.e.a.15.2

$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.892344 3.90961i −0.315491 1.38226i −0.845369 0.534183i \(-0.820619\pi\)
0.529878 0.848074i \(-0.322238\pi\)
\(3\) 5.02886 + 6.30599i 0.967805 + 1.21359i 0.976915 + 0.213630i \(0.0685287\pi\)
−0.00911002 + 0.999959i \(0.502900\pi\)
\(4\) −7.28105 + 3.50637i −0.910132 + 0.438296i
\(5\) 8.76329 + 10.9888i 0.783813 + 0.982870i 0.999979 + 0.00651323i \(0.00207324\pi\)
−0.216166 + 0.976357i \(0.569355\pi\)
\(6\) 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 −0.824044 0.566525i \(-0.808287\pi\)
0.496632 0.867961i \(-0.334570\pi\)
\(12\) −58.7265 28.2812i −1.41274 0.680340i
\(13\) −14.3712 62.9644i −0.306604 1.34332i −0.859954 0.510372i \(-0.829508\pi\)
0.553350 0.832949i \(-0.313349\pi\)
\(14\) 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 0.741214 0.671268i \(-0.234250\pi\)
−0.0626790 + 0.998034i \(0.519964\pi\)
\(18\) 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 0.0162506 0.999868i \(-0.494827\pi\)
0.791860 + 0.610702i \(0.209113\pi\)
\(24\) −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 0.306950 0.951726i \(-0.400692\pi\)
−0.552709 + 0.833374i \(0.686406\pi\)
\(30\) 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 −0.990509 0.137449i \(-0.956110\pi\)
−0.725034 0.688713i \(-0.758176\pi\)
\(38\) 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 0.833186 0.552993i \(-0.186514\pi\)
−0.724530 + 0.689244i \(0.757943\pi\)
\(42\) 537.594 + 264.253i 1.97506 + 0.970836i
\(43\) 122.569 153.697i 0.434688 0.545082i −0.515446 0.856922i \(-0.672374\pi\)
0.950135 + 0.311840i \(0.100945\pi\)
\(44\) 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 0.654917 + 0.755701i \(0.272704\pi\)
−0.262173 + 0.965021i \(0.584439\pi\)
\(48\) −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 −0.602418 0.798181i \(-0.705796\pi\)
0.248442 + 0.968647i \(0.420082\pi\)
\(54\) 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 −0.649537 0.760330i \(-0.725037\pi\)
0.885802 + 0.464063i \(0.153609\pi\)
\(60\) −203.861 893.172i −0.438638 1.92180i
\(61\) 4.52965 + 2.18137i 0.00950759 + 0.00457861i 0.438631 0.898667i \(-0.355463\pi\)
−0.429124 + 0.903246i \(0.641178\pi\)
\(62\) 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 −0.492931 0.870068i \(-0.664074\pi\)
0.372910 + 0.927868i \(0.378360\pi\)
\(72\) −11.1864 + 5.38711i −0.0183102 + 0.00881773i
\(73\) −160.018 + 701.084i −0.256557 + 1.12405i 0.668347 + 0.743850i \(0.267002\pi\)
−0.924904 + 0.380200i \(0.875855\pi\)
\(74\) −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 −0.874183 0.485596i \(-0.838603\pi\)
0.998304 0.0582130i \(-0.0185402\pi\)
\(84\) 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 0.820869 + 0.571117i \(0.193490\pi\)
−0.987376 + 0.158397i \(0.949368\pi\)
\(90\) 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 0.819425 0.573186i \(-0.194293\pi\)
−0.741155 + 0.671334i \(0.765721\pi\)
\(102\) 1538.32 740.817i 1.49330 0.719136i
\(103\) −334.914 419.968i −0.320389 0.401755i 0.595391 0.803436i \(-0.296997\pi\)
−0.915779 + 0.401682i \(0.868426\pi\)
\(104\) 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 −0.850457 0.526044i \(-0.823675\pi\)
0.994477 0.104950i \(-0.0334683\pi\)
\(108\) 449.274 563.372i 0.400291 0.501949i
\(109\) 492.604 + 2158.24i 0.432871 + 1.89653i 0.442878 + 0.896582i \(0.353957\pi\)
−0.0100074 + 0.999950i \(0.503185\pi\)
\(110\) −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 −0.694434 0.719557i \(-0.744345\pi\)
0.937867 0.346995i \(-0.112798\pi\)
\(114\) −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 0.702693 0.711493i \(-0.251981\pi\)
−0.118145 + 0.992996i \(0.537695\pi\)
\(128\) −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 −0.0448979 0.998992i \(-0.514296\pi\)
0.983936 0.178524i \(-0.0571323\pi\)
\(132\) −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 −0.987391 0.158299i \(-0.949399\pi\)
0.374045 + 0.927410i \(0.377970\pi\)
\(138\) 712.074 3119.80i 0.439245 1.92446i
\(139\) −950.831 1192.30i −0.580205 0.727554i 0.401943 0.915665i \(-0.368335\pi\)
−0.982148 + 0.188111i \(0.939763\pi\)
\(140\) 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 0.925071 + 0.379794i \(0.124005\pi\)
−0.668674 + 0.743556i \(0.733138\pi\)
\(150\) 1463.07 + 1834.63i 0.796394 + 0.998646i
\(151\) 1131.64 544.968i 0.609877 0.293701i −0.103339 0.994646i \(-0.532953\pi\)
0.713215 + 0.700945i \(0.247238\pi\)
\(152\) −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 −0.665345 0.746536i \(-0.731716\pi\)
0.875872 + 0.482544i \(0.160287\pi\)
\(158\) −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 −0.712557 0.701614i \(-0.752463\pi\)
0.842582 + 0.538568i \(0.181034\pi\)
\(164\) −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 0.0216425 0.999766i \(-0.493110\pi\)
−0.768155 + 0.640265i \(0.778825\pi\)
\(168\) −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 −0.249075 0.968484i \(-0.580127\pi\)
0.601896 + 0.798575i \(0.294412\pi\)
\(174\) −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 −0.160784 0.986990i \(-0.551402\pi\)
−0.871907 + 0.489672i \(0.837116\pi\)
\(180\) 2695.03 3379.46i 1.11597 1.39939i
\(181\) −922.188 + 4040.37i −0.378706 + 1.65922i 0.322735 + 0.946490i \(0.395398\pi\)
−0.701440 + 0.712728i \(0.747459\pi\)
\(182\) −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 0.935163 + 0.354218i \(0.115253\pi\)
0.137244 + 0.990537i \(0.456176\pi\)
\(192\) 3795.95 1828.03i 1.42682 0.687119i
\(193\) −1759.36 2206.17i −0.656174 0.822816i 0.336747 0.941595i \(-0.390673\pi\)
−0.992921 + 0.118779i \(0.962102\pi\)
\(194\) 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 0.865919 + 0.500185i \(0.166735\pi\)
0.294959 + 0.955510i \(0.404694\pi\)
\(200\) −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 0.825804 + 0.563957i \(0.190722\pi\)
−0.988716 + 0.149805i \(0.952135\pi\)
\(212\) 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 −0.720264 0.693700i \(-0.755979\pi\)
0.0932794 + 0.995640i \(0.470265\pi\)
\(224\) −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 −0.742073 0.670319i \(-0.766157\pi\)
0.818639 + 0.574308i \(0.194729\pi\)
\(230\) 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 0.106493 0.994313i \(-0.466038\pi\)
−0.710989 + 0.703204i \(0.751752\pi\)
\(234\) −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 −0.342647 0.939464i \(-0.611323\pi\)
0.992156 + 0.125006i \(0.0398949\pi\)
\(240\) −4477.16 5614.18i −1.20416 1.50997i
\(241\) −685.875 + 330.300i −0.183324 + 0.0882842i −0.523294 0.852152i \(-0.675297\pi\)
0.339970 + 0.940436i \(0.389583\pi\)
\(242\) 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 −0.548465 0.836174i \(-0.684788\pi\)
0.937254 + 0.348648i \(0.113359\pi\)
\(252\) 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 0.289051 0.957314i \(-0.406660\pi\)
−0.568237 + 0.822865i \(0.692374\pi\)
\(258\) −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 −0.941995 0.335627i \(-0.891052\pi\)
0.994331 + 0.106326i \(0.0339089\pi\)
\(270\) −1118.32 + 4899.70i −0.252070 + 1.10439i
\(271\) 4210.10 2027.48i 0.943711 0.454467i 0.102234 0.994760i \(-0.467401\pi\)
0.841477 + 0.540293i \(0.181687\pi\)
\(272\) −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 0.958363 0.285553i \(-0.0921771\pi\)
0.374276 + 0.927317i \(0.377891\pi\)
\(278\) −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 −0.927838 0.372983i \(-0.878335\pi\)
0.674122 0.738620i \(-0.264522\pi\)
\(282\) 16572.8 + 7981.05i 3.49963 + 1.68534i
\(283\) 89.8366 + 393.600i 0.0188701 + 0.0826752i 0.983486 0.180983i \(-0.0579280\pi\)
−0.964616 + 0.263658i \(0.915071\pi\)
\(284\) 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 0.996323 0.0856781i \(-0.0273057\pi\)
−0.934830 + 0.355095i \(0.884449\pi\)
\(308\) −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 0.558734 0.829347i \(-0.311287\pi\)
−0.300045 + 0.953925i \(0.597002\pi\)
\(312\) 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 −0.117407 0.993084i \(-0.537458\pi\)
0.703222 + 0.710970i \(0.251744\pi\)
\(318\) −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 0.743379 0.668871i \(-0.233222\pi\)
−0.0594551 + 0.998231i \(0.518936\pi\)
\(332\) 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 −0.525006 0.851099i \(-0.675937\pi\)
0.946585 + 0.322455i \(0.104508\pi\)
\(338\) 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 −0.602821 0.797877i \(-0.705957\pi\)
0.247953 + 0.968772i \(0.420242\pi\)
\(348\) 1731.22 + 2170.88i 0.266675 + 0.334400i
\(349\) 1430.62 1793.94i 0.219425 0.275151i −0.659919 0.751336i \(-0.729410\pi\)
0.879345 + 0.476186i \(0.157981\pi\)
\(350\) 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 −0.844385 0.535737i \(-0.820034\pi\)
0.710198 + 0.704002i \(0.248605\pi\)
\(354\) −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 0.0677763 + 0.997701i \(0.478410\pi\)
−0.987768 + 0.155932i \(0.950162\pi\)
\(360\) −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 −0.986317 0.164863i \(-0.947282\pi\)
0.960172 + 0.279411i \(0.0901391\pi\)
\(368\) −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 0.997910 0.0646264i \(-0.0205856\pi\)
−0.927126 + 0.374750i \(0.877728\pi\)
\(380\) 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 −0.795751 0.605623i \(-0.792924\pi\)
0.979717 0.200384i \(-0.0642191\pi\)
\(384\) −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 0.949638 + 0.313350i \(0.101451\pi\)
0.0941790 + 0.995555i \(0.469977\pi\)
\(390\) −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 0.311258 0.950325i \(-0.399250\pi\)
−0.995760 + 0.0919870i \(0.970678\pi\)
\(398\) 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 −0.667023 0.745037i \(-0.732432\pi\)
0.924227 0.381844i \(-0.124711\pi\)
\(402\) −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 0.893141 0.449777i \(-0.148497\pi\)
0.205214 + 0.978717i \(0.434211\pi\)
\(410\) 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 0.478636 0.878014i \(-0.341131\pi\)
0.984883 + 0.173220i \(0.0554172\pi\)
\(420\) 15345.8 7238.27i 1.78285 0.840932i
\(421\) −12528.9 6033.59i −1.45041 0.698478i −0.467740 0.883866i \(-0.654932\pi\)
−0.982665 + 0.185388i \(0.940646\pi\)
\(422\) 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 −0.780660 0.624956i \(-0.785117\pi\)
0.783001 + 0.622021i \(0.213688\pi\)
\(432\) 1256.79 5506.37i 0.139971 0.613253i
\(433\) 3761.88 + 4717.24i 0.417516 + 0.523548i 0.945463 0.325729i \(-0.105610\pi\)
−0.527948 + 0.849277i \(0.677038\pi\)
\(434\) −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 −0.999077 0.0429575i \(-0.986322\pi\)
0.881499 0.472187i \(-0.156535\pi\)
\(440\) 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 −0.995040 0.0994755i \(-0.968284\pi\)
0.853339 0.521356i \(-0.174574\pi\)
\(444\) 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 0.824238 0.566243i \(-0.191604\pi\)
−0.735457 + 0.677572i \(0.763032\pi\)
\(450\) −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 −0.797426 0.603417i \(-0.793805\pi\)
0.765732 + 0.643159i \(0.222377\pi\)
\(458\) −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 0.445372 0.895345i \(-0.353071\pi\)
−0.422324 + 0.906445i \(0.638786\pi\)
\(462\) 7407.94 31291.0i 0.745992 3.15106i
\(463\) 9571.51 4609.39i 0.960746 0.462671i 0.113305 0.993560i \(-0.463856\pi\)
0.847441 + 0.530889i \(0.178142\pi\)
\(464\) 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 −0.0725194 0.997367i \(-0.523104\pi\)
0.734558 + 0.678546i \(0.237390\pi\)
\(468\) −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 −0.722744 0.691116i \(-0.757119\pi\)
0.351306 0.936261i \(-0.385738\pi\)
\(480\) −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 0.693925 0.720047i \(-0.255880\pi\)
−0.856407 + 0.516301i \(0.827309\pi\)
\(488\) 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 0.799131 + 0.601158i \(0.205294\pi\)
−0.980824 + 0.194894i \(0.937564\pi\)
\(500\) −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 −0.999992 0.00412206i \(-0.998688\pi\)
0.899173 0.437594i \(-0.144169\pi\)
\(504\) −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 −0.472259 0.881460i \(-0.656561\pi\)
0.964447 + 0.264276i \(0.0851329\pi\)
\(524\) −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 0.999957 0.00922532i \(-0.00293655\pi\)
−0.904933 + 0.425554i \(0.860079\pi\)
\(542\) −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 0.457402 0.889260i \(-0.348780\pi\)
−0.968746 + 0.248054i \(0.920209\pi\)
\(548\) 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 0.705573 + 0.708637i \(0.250690\pi\)
−0.943166 + 0.332323i \(0.892168\pi\)
\(564\) 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 0.960388 0.278667i \(-0.0898925\pi\)
0.380921 + 0.924607i \(0.375607\pi\)
\(572\) 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 0.999519 + 0.0310154i \(0.00987409\pi\)
−0.887078 + 0.461619i \(0.847269\pi\)
\(578\) −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 0.368862 0.929484i \(-0.379747\pi\)
−0.988260 + 0.152784i \(0.951176\pi\)
\(594\) 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 0.871815 + 0.489836i \(0.162943\pi\)
−0.572946 + 0.819593i \(0.694200\pi\)
\(600\) −172.010 82.8359i −0.0117038 0.00563627i
\(601\) −3668.24 16071.6i −0.248970 1.09081i −0.932581 0.360961i \(-0.882449\pi\)
0.683611 0.729846i \(-0.260408\pi\)
\(602\) 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 −0.549642 0.835401i \(-0.685236\pi\)
0.857677 0.514189i \(-0.171907\pi\)
\(614\) 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 0.999057 + 0.0434280i \(0.0138279\pi\)
0.656855 + 0.754017i \(0.271886\pi\)
\(618\) −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 −0.767844 0.640637i \(-0.778670\pi\)
0.795436 + 0.606038i \(0.207242\pi\)
\(632\) 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 −0.900519 0.434817i \(-0.856813\pi\)
−0.221510 + 0.975158i \(0.571099\pi\)
\(642\) −14446.4 18115.2i −0.888090 1.11363i
\(643\) 8602.92 10787.7i 0.527630 0.661627i −0.444580 0.895739i \(-0.646647\pi\)
0.972209 + 0.234113i \(0.0752184\pi\)
\(644\) −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 −0.411655 0.911340i \(-0.635049\pi\)
0.980092 + 0.198542i \(0.0636206\pi\)
\(648\) 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 −0.234027 0.972230i \(-0.575190\pi\)
0.999930 + 0.0118177i \(0.00376179\pi\)
\(654\) 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 −0.858115 0.513457i \(-0.828365\pi\)
−0.133589 + 0.991037i \(0.542650\pi\)
\(660\) −44308.3 + 21337.8i −2.61318 + 1.25844i
\(661\) −2674.31 + 11716.9i −0.157366 + 0.689464i 0.833263 + 0.552877i \(0.186470\pi\)
−0.990628 + 0.136586i \(0.956387\pi\)
\(662\) 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 −0.964863 0.262754i \(-0.915369\pi\)
0.755307 0.655372i \(-0.227488\pi\)
\(674\) −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 −0.912371 0.409365i \(-0.865750\pi\)
0.999634 + 0.0270373i \(0.00860727\pi\)
\(678\) −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 0.718626 0.695397i \(-0.244771\pi\)
−0.837871 + 0.545868i \(0.816200\pi\)
\(684\) 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 0.922228 0.386645i \(-0.126366\pi\)
−0.582167 + 0.813070i \(0.697795\pi\)
\(692\) −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 −0.415581 0.909556i \(-0.636422\pi\)
0.769067 0.639168i \(-0.220721\pi\)
\(702\) 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 0.113761 0.993508i \(-0.463710\pi\)
0.847685 + 0.530500i \(0.177996\pi\)
\(710\) −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 0.00608642 + 0.999981i \(0.498063\pi\)
−0.976264 + 0.216583i \(0.930509\pi\)
\(720\) 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 0.986750 + 0.162248i \(0.0518746\pi\)
−0.0613920 + 0.998114i \(0.519554\pi\)
\(728\) 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 0.988012 0.154376i \(-0.0493366\pi\)
−0.957149 + 0.289595i \(0.906479\pi\)
\(734\) 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 −0.988503 0.151198i \(-0.951687\pi\)
−0.498110 + 0.867114i \(0.665973\pi\)
\(740\) 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 0.999983 + 0.00581210i \(0.00185006\pi\)
−0.216851 + 0.976205i \(0.569579\pi\)
\(744\) 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 −0.0785280 + 0.996912i \(0.525022\pi\)
−0.954443 + 0.298393i \(0.903549\pi\)
\(752\) −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 −0.896196 0.443659i \(-0.853680\pi\)
−0.211902 + 0.977291i \(0.567966\pi\)
\(758\) 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 −0.596486 0.802623i \(-0.703437\pi\)
0.255613 + 0.966779i \(0.417723\pi\)
\(762\) 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 −0.735858 0.677136i \(-0.763221\pi\)
0.956783 0.290802i \(-0.0939220\pi\)
\(770\) 12909.1 54527.8i 0.604170