Properties

Label 43.6.e.a.4.14
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.14

$q$-expansion

\(f(q)\) \(=\) \(q+(3.56453 - 4.46978i) q^{2} +(18.2022 + 22.8249i) q^{3} +(-0.152384 - 0.667640i) q^{4} +(-27.3877 - 13.1892i) q^{5} +166.905 q^{6} -9.91522 q^{7} +(161.301 + 77.6786i) q^{8} +(-135.581 + 594.021i) q^{9} +O(q^{10})\) \(q+(3.56453 - 4.46978i) q^{2} +(18.2022 + 22.8249i) q^{3} +(-0.152384 - 0.667640i) q^{4} +(-27.3877 - 13.1892i) q^{5} +166.905 q^{6} -9.91522 q^{7} +(161.301 + 77.6786i) q^{8} +(-135.581 + 594.021i) q^{9} +(-156.577 + 75.4035i) q^{10} +(51.8515 - 227.176i) q^{11} +(12.4651 - 15.6307i) q^{12} +(41.6628 + 20.0638i) q^{13} +(-35.3431 + 44.3189i) q^{14} +(-197.475 - 865.193i) q^{15} +(941.913 - 453.602i) q^{16} +(869.335 - 418.650i) q^{17} +(2171.86 + 2723.42i) q^{18} +(-164.861 - 722.304i) q^{19} +(-4.63219 + 20.2949i) q^{20} +(-180.479 - 226.314i) q^{21} +(-830.602 - 1041.54i) q^{22} +(1072.95 - 4700.88i) q^{23} +(1163.04 + 5095.61i) q^{24} +(-1372.28 - 1720.78i) q^{25} +(238.189 - 114.706i) q^{26} +(-9634.71 + 4639.83i) q^{27} +(1.51093 + 6.61980i) q^{28} +(-4815.59 + 6038.56i) q^{29} +(-4571.13 - 2201.34i) q^{30} +(1279.45 - 1604.37i) q^{31} +(55.1597 - 241.670i) q^{32} +(6129.09 - 2951.61i) q^{33} +(1227.50 - 5378.02i) q^{34} +(271.555 + 130.774i) q^{35} +417.253 q^{36} +5451.72 q^{37} +(-3816.19 - 1837.78i) q^{38} +(300.404 + 1316.16i) q^{39} +(-3393.15 - 4254.87i) q^{40} +(7081.69 - 8880.16i) q^{41} -1654.90 q^{42} +(-11140.0 + 4786.26i) q^{43} -159.573 q^{44} +(11547.9 - 14480.6i) q^{45} +(-17187.4 - 21552.3i) q^{46} +(2875.24 + 12597.2i) q^{47} +(27498.3 + 13242.5i) q^{48} -16708.7 q^{49} -12583.0 q^{50} +(25379.5 + 12222.1i) q^{51} +(7.04660 - 30.8732i) q^{52} +(21868.5 - 10531.3i) q^{53} +(-13604.2 + 59603.9i) q^{54} +(-4416.36 + 5537.95i) q^{55} +(-1599.34 - 770.201i) q^{56} +(13485.7 - 16910.5i) q^{57} +(9825.71 + 43049.3i) q^{58} +(-20292.1 + 9772.17i) q^{59} +(-547.546 + 263.684i) q^{60} +(-18690.5 - 23437.2i) q^{61} +(-2610.58 - 11437.7i) q^{62} +(1344.32 - 5889.85i) q^{63} +(19974.8 + 25047.6i) q^{64} +(-876.423 - 1099.00i) q^{65} +(8654.26 - 37916.8i) q^{66} +(-2226.16 - 9753.46i) q^{67} +(-411.980 - 516.607i) q^{68} +(126827. - 61076.7i) q^{69} +(1552.50 - 747.642i) q^{70} +(17514.9 + 76737.8i) q^{71} +(-68012.2 + 85284.5i) q^{72} +(-25337.9 - 12202.1i) q^{73} +(19432.8 - 24368.0i) q^{74} +(14298.1 - 62644.1i) q^{75} +(-457.117 + 220.136i) q^{76} +(-514.119 + 2252.50i) q^{77} +(6953.72 + 3348.74i) q^{78} +33590.2 q^{79} -31779.4 q^{80} +(-147880. - 71215.4i) q^{81} +(-14449.5 - 63307.2i) q^{82} +(-51796.1 - 64950.3i) q^{83} +(-123.594 + 154.982i) q^{84} -29330.7 q^{85} +(-18315.4 + 66854.2i) q^{86} -225484. q^{87} +(26010.4 - 32616.1i) q^{88} +(69989.6 + 87764.1i) q^{89} +(-23562.3 - 103233. i) q^{90} +(-413.096 - 198.937i) q^{91} -3302.00 q^{92} +59908.4 q^{93} +(66555.8 + 32051.6i) q^{94} +(-5011.45 + 21956.6i) q^{95} +(6520.13 - 3139.93i) q^{96} +(-14726.0 + 64518.7i) q^{97} +(-59558.6 + 74684.2i) q^{98} +(127917. + 61601.7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.56453 4.46978i 0.630126 0.790153i −0.359604 0.933105i \(-0.617088\pi\)
0.989730 + 0.142952i \(0.0456595\pi\)
\(3\) 18.2022 + 22.8249i 1.16767 + 1.46422i 0.858204 + 0.513308i \(0.171580\pi\)
0.309470 + 0.950909i \(0.399848\pi\)
\(4\) −0.152384 0.667640i −0.00476202 0.0208638i
\(5\) −27.3877 13.1892i −0.489925 0.235936i 0.172576 0.984996i \(-0.444791\pi\)
−0.662502 + 0.749061i \(0.730505\pi\)
\(6\) 166.905 1.89274
\(7\) −9.91522 −0.0764817 −0.0382408 0.999269i \(-0.512175\pi\)
−0.0382408 + 0.999269i \(0.512175\pi\)
\(8\) 161.301 + 77.6786i 0.891072 + 0.429118i
\(9\) −135.581 + 594.021i −0.557948 + 2.44453i
\(10\) −156.577 + 75.4035i −0.495140 + 0.238447i
\(11\) 51.8515 227.176i 0.129205 0.566084i −0.868334 0.495979i \(-0.834809\pi\)
0.997540 0.0701055i \(-0.0223336\pi\)
\(12\) 12.4651 15.6307i 0.0249886 0.0313347i
\(13\) 41.6628 + 20.0638i 0.0683739 + 0.0329271i 0.467758 0.883856i \(-0.345062\pi\)
−0.399384 + 0.916784i \(0.630776\pi\)
\(14\) −35.3431 + 44.3189i −0.0481931 + 0.0604322i
\(15\) −197.475 865.193i −0.226612 0.992853i
\(16\) 941.913 453.602i 0.919837 0.442970i
\(17\) 869.335 418.650i 0.729566 0.351341i −0.0319474 0.999490i \(-0.510171\pi\)
0.761514 + 0.648149i \(0.224457\pi\)
\(18\) 2171.86 + 2723.42i 1.57997 + 1.98123i
\(19\) −164.861 722.304i −0.104769 0.459024i −0.999912 0.0132452i \(-0.995784\pi\)
0.895143 0.445779i \(-0.147073\pi\)
\(20\) −4.63219 + 20.2949i −0.00258947 + 0.0113452i
\(21\) −180.479 226.314i −0.0893057 0.111986i
\(22\) −830.602 1041.54i −0.365878 0.458796i
\(23\) 1072.95 4700.88i 0.422920 1.85293i −0.0920914 0.995751i \(-0.529355\pi\)
0.515012 0.857183i \(-0.327788\pi\)
\(24\) 1163.04 + 5095.61i 0.412160 + 1.80579i
\(25\) −1372.28 1720.78i −0.439129 0.550650i
\(26\) 238.189 114.706i 0.0691017 0.0332776i
\(27\) −9634.71 + 4639.83i −2.54349 + 1.22488i
\(28\) 1.51093 + 6.61980i 0.000364207 + 0.00159569i
\(29\) −4815.59 + 6038.56i −1.06330 + 1.33333i −0.123217 + 0.992380i \(0.539321\pi\)
−0.940080 + 0.340953i \(0.889250\pi\)
\(30\) −4571.13 2201.34i −0.927300 0.446564i
\(31\) 1279.45 1604.37i 0.239121 0.299848i −0.647762 0.761843i \(-0.724295\pi\)
0.886883 + 0.461995i \(0.152866\pi\)
\(32\) 55.1597 241.670i 0.00952241 0.0417204i
\(33\) 6129.09 2951.61i 0.979740 0.471818i
\(34\) 1227.50 5378.02i 0.182106 0.797858i
\(35\) 271.555 + 130.774i 0.0374703 + 0.0180447i
\(36\) 417.253 0.0536590
\(37\) 5451.72 0.654681 0.327340 0.944907i \(-0.393848\pi\)
0.327340 + 0.944907i \(0.393848\pi\)
\(38\) −3816.19 1837.78i −0.428717 0.206459i
\(39\) 300.404 + 1316.16i 0.0316260 + 0.138562i
\(40\) −3393.15 4254.87i −0.335315 0.420471i
\(41\) 7081.69 8880.16i 0.657927 0.825014i −0.335189 0.942151i \(-0.608800\pi\)
0.993116 + 0.117137i \(0.0373716\pi\)
\(42\) −1654.90 −0.144760
\(43\) −11140.0 + 4786.26i −0.918787 + 0.394753i
\(44\) −159.573 −0.0124259
\(45\) 11547.9 14480.6i 0.850105 1.06600i
\(46\) −17187.4 21552.3i −1.19761 1.50175i
\(47\) 2875.24 + 12597.2i 0.189858 + 0.831823i 0.976690 + 0.214655i \(0.0688629\pi\)
−0.786832 + 0.617168i \(0.788280\pi\)
\(48\) 27498.3 + 13242.5i 1.72268 + 0.829597i
\(49\) −16708.7 −0.994151
\(50\) −12583.0 −0.711804
\(51\) 25379.5 + 12222.1i 1.36633 + 0.657992i
\(52\) 7.04660 30.8732i 0.000361386 0.00158334i
\(53\) 21868.5 10531.3i 1.06938 0.514984i 0.185470 0.982650i \(-0.440619\pi\)
0.883905 + 0.467666i \(0.154905\pi\)
\(54\) −13604.2 + 59603.9i −0.634875 + 2.78157i
\(55\) −4416.36 + 5537.95i −0.196860 + 0.246855i
\(56\) −1599.34 770.201i −0.0681507 0.0328196i
\(57\) 13485.7 16910.5i 0.549775 0.689396i
\(58\) 9825.71 + 43049.3i 0.383525 + 1.68033i
\(59\) −20292.1 + 9772.17i −0.758923 + 0.365478i −0.772986 0.634423i \(-0.781238\pi\)
0.0140633 + 0.999901i \(0.495523\pi\)
\(60\) −547.546 + 263.684i −0.0196355 + 0.00945596i
\(61\) −18690.5 23437.2i −0.643127 0.806455i 0.348264 0.937397i \(-0.386771\pi\)
−0.991390 + 0.130941i \(0.958200\pi\)
\(62\) −2610.58 11437.7i −0.0862496 0.377884i
\(63\) 1344.32 5889.85i 0.0426728 0.186962i
\(64\) 19974.8 + 25047.6i 0.609582 + 0.764392i
\(65\) −876.423 1099.00i −0.0257294 0.0322637i
\(66\) 8654.26 37916.8i 0.244551 1.07145i
\(67\) −2226.16 9753.46i −0.0605857 0.265443i 0.935559 0.353171i \(-0.114897\pi\)
−0.996144 + 0.0877278i \(0.972039\pi\)
\(68\) −411.980 516.607i −0.0108045 0.0135484i
\(69\) 126827. 61076.7i 3.20693 1.54438i
\(70\) 1552.50 747.642i 0.0378691 0.0182368i
\(71\) 17514.9 + 76737.8i 0.412346 + 1.80661i 0.572954 + 0.819587i \(0.305797\pi\)
−0.160608 + 0.987018i \(0.551346\pi\)
\(72\) −68012.2 + 85284.5i −1.54616 + 1.93883i
\(73\) −25337.9 12202.1i −0.556497 0.267995i 0.134425 0.990924i \(-0.457081\pi\)
−0.690923 + 0.722929i \(0.742795\pi\)
\(74\) 19432.8 24368.0i 0.412531 0.517298i
\(75\) 14298.1 62644.1i 0.293512 1.28596i
\(76\) −457.117 + 220.136i −0.00907806 + 0.00437176i
\(77\) −514.119 + 2252.50i −0.00988182 + 0.0432951i
\(78\) 6953.72 + 3348.74i 0.129414 + 0.0623224i
\(79\) 33590.2 0.605543 0.302771 0.953063i \(-0.402088\pi\)
0.302771 + 0.953063i \(0.402088\pi\)
\(80\) −31779.4 −0.555164
\(81\) −147880. 71215.4i −2.50437 1.20604i
\(82\) −14449.5 63307.2i −0.237311 1.03973i
\(83\) −51796.1 64950.3i −0.825281 1.03487i −0.998748 0.0500303i \(-0.984068\pi\)
0.173466 0.984840i \(-0.444503\pi\)
\(84\) −123.594 + 154.982i −0.00191117 + 0.00239653i
\(85\) −29330.7 −0.440327
\(86\) −18315.4 + 66854.2i −0.267037 + 0.974726i
\(87\) −225484. −3.19387
\(88\) 26010.4 32616.1i 0.358048 0.448978i
\(89\) 69989.6 + 87764.1i 0.936609 + 1.17447i 0.984459 + 0.175616i \(0.0561916\pi\)
−0.0478500 + 0.998855i \(0.515237\pi\)
\(90\) −23562.3 103233.i −0.306628 1.34343i
\(91\) −413.096 198.937i −0.00522935 0.00251832i
\(92\) −3302.00 −0.0406731
\(93\) 59908.4 0.718258
\(94\) 66555.8 + 32051.6i 0.776902 + 0.374136i
\(95\) −5011.45 + 21956.6i −0.0569711 + 0.249606i
\(96\) 6520.13 3139.93i 0.0722068 0.0347730i
\(97\) −14726.0 + 64518.7i −0.158911 + 0.696236i 0.831202 + 0.555970i \(0.187653\pi\)
−0.990114 + 0.140266i \(0.955204\pi\)
\(98\) −59558.6 + 74684.2i −0.626440 + 0.785531i
\(99\) 127917. + 61601.7i 1.31172 + 0.631691i
\(100\) −939.748 + 1178.41i −0.00939748 + 0.0117841i
\(101\) 16979.0 + 74389.9i 0.165619 + 0.725622i 0.987714 + 0.156273i \(0.0499478\pi\)
−0.822095 + 0.569350i \(0.807195\pi\)
\(102\) 145096. 69874.6i 1.38088 0.664995i
\(103\) 115295. 55523.0i 1.07082 0.515680i 0.186449 0.982465i \(-0.440302\pi\)
0.884371 + 0.466785i \(0.154588\pi\)
\(104\) 5161.74 + 6472.62i 0.0467965 + 0.0586809i
\(105\) 1958.01 + 8578.58i 0.0173317 + 0.0759351i
\(106\) 30878.3 135287.i 0.266925 1.16947i
\(107\) −25718.5 32250.0i −0.217164 0.272314i 0.661302 0.750119i \(-0.270004\pi\)
−0.878466 + 0.477805i \(0.841433\pi\)
\(108\) 4565.92 + 5725.48i 0.0376677 + 0.0472338i
\(109\) 8956.11 39239.3i 0.0722026 0.316340i −0.925910 0.377743i \(-0.876700\pi\)
0.998113 + 0.0614027i \(0.0195574\pi\)
\(110\) 9011.13 + 39480.4i 0.0710064 + 0.311100i
\(111\) 99233.6 + 124435.i 0.764454 + 0.958595i
\(112\) −9339.28 + 4497.56i −0.0703507 + 0.0338791i
\(113\) −176768. + 85126.8i −1.30229 + 0.627148i −0.951021 0.309127i \(-0.899963\pi\)
−0.351266 + 0.936276i \(0.614249\pi\)
\(114\) −27516.1 120556.i −0.198301 0.868813i
\(115\) −91386.4 + 114595.i −0.644372 + 0.808017i
\(116\) 4765.41 + 2294.90i 0.0328818 + 0.0158350i
\(117\) −17567.0 + 22028.3i −0.118640 + 0.148770i
\(118\) −28652.4 + 125535.i −0.189433 + 0.829962i
\(119\) −8619.65 + 4151.00i −0.0557984 + 0.0268711i
\(120\) 35354.1 154896.i 0.224123 0.981947i
\(121\) 96181.5 + 46318.5i 0.597211 + 0.287602i
\(122\) −171382. −1.04247
\(123\) 331591. 1.97624
\(124\) −1266.11 609.727i −0.00739465 0.00356108i
\(125\) 36025.8 + 157839.i 0.206224 + 0.903526i
\(126\) −21534.5 27003.4i −0.120839 0.151527i
\(127\) 69201.8 86776.3i 0.380722 0.477411i −0.554139 0.832424i \(-0.686952\pi\)
0.934861 + 0.355014i \(0.115524\pi\)
\(128\) 191090. 1.03089
\(129\) −312019. 167149.i −1.65085 0.884362i
\(130\) −8036.32 −0.0417060
\(131\) −201775. + 253018.i −1.02728 + 1.28817i −0.0704558 + 0.997515i \(0.522445\pi\)
−0.956827 + 0.290657i \(0.906126\pi\)
\(132\) −2904.59 3642.24i −0.0145094 0.0181943i
\(133\) 1634.63 + 7161.80i 0.00801293 + 0.0351069i
\(134\) −51531.0 24816.0i −0.247917 0.119391i
\(135\) 325068. 1.53511
\(136\) 172745. 0.800863
\(137\) −348667. 167909.i −1.58712 0.764315i −0.588106 0.808784i \(-0.700126\pi\)
−0.999011 + 0.0444686i \(0.985841\pi\)
\(138\) 179080. 784599.i 0.800477 3.50712i
\(139\) −153343. + 73846.1i −0.673173 + 0.324183i −0.739056 0.673644i \(-0.764728\pi\)
0.0658825 + 0.997827i \(0.479014\pi\)
\(140\) 45.9291 201.229i 0.000198047 0.000867701i
\(141\) −235195. + 294925.i −0.996277 + 1.24929i
\(142\) 405433. + 195246.i 1.68732 + 0.812573i
\(143\) 6718.29 8424.47i 0.0274738 0.0344511i
\(144\) 141743. + 621016.i 0.569633 + 2.49572i
\(145\) 211532. 101868.i 0.835517 0.402364i
\(146\) −144858. + 69760.1i −0.562420 + 0.270847i
\(147\) −304136. 381374.i −1.16084 1.45565i
\(148\) −830.758 3639.79i −0.00311760 0.0136591i
\(149\) 43505.0 190608.i 0.160536 0.703356i −0.829021 0.559217i \(-0.811102\pi\)
0.989557 0.144139i \(-0.0460412\pi\)
\(150\) −229039. 287206.i −0.831155 1.04224i
\(151\) 12176.3 + 15268.6i 0.0434584 + 0.0544951i 0.803086 0.595863i \(-0.203190\pi\)
−0.759627 + 0.650359i \(0.774619\pi\)
\(152\) 29515.2 129315.i 0.103618 0.453982i
\(153\) 130821. + 573164.i 0.451803 + 1.97948i
\(154\) 8235.60 + 10327.1i 0.0279829 + 0.0350895i
\(155\) −56201.4 + 27065.2i −0.187896 + 0.0904860i
\(156\) 832.941 401.123i 0.00274033 0.00131967i
\(157\) −77037.4 337523.i −0.249432 1.09283i −0.932127 0.362130i \(-0.882050\pi\)
0.682695 0.730703i \(-0.260808\pi\)
\(158\) 119733. 150141.i 0.381568 0.478471i
\(159\) 638433. + 307453.i 2.00273 + 0.964464i
\(160\) −4698.13 + 5891.27i −0.0145086 + 0.0181932i
\(161\) −10638.5 + 46610.3i −0.0323456 + 0.141715i
\(162\) −845441. + 407143.i −2.53102 + 1.21888i
\(163\) 55802.9 244488.i 0.164508 0.720758i −0.823622 0.567139i \(-0.808050\pi\)
0.988130 0.153618i \(-0.0490927\pi\)
\(164\) −7007.89 3374.82i −0.0203459 0.00979809i
\(165\) −206791. −0.591318
\(166\) −474942. −1.33774
\(167\) −44762.4 21556.4i −0.124200 0.0598117i 0.370752 0.928732i \(-0.379100\pi\)
−0.494952 + 0.868920i \(0.664814\pi\)
\(168\) −11531.8 50524.1i −0.0315227 0.138110i
\(169\) −230164. 288617.i −0.619899 0.777329i
\(170\) −104550. + 131102.i −0.277461 + 0.347925i
\(171\) 451415. 1.18055
\(172\) 4893.07 + 6708.18i 0.0126113 + 0.0172895i
\(173\) −304579. −0.773721 −0.386860 0.922138i \(-0.626440\pi\)
−0.386860 + 0.922138i \(0.626440\pi\)
\(174\) −803745. + 1.00786e6i −2.01254 + 2.52365i
\(175\) 13606.4 + 17061.9i 0.0335853 + 0.0421146i
\(176\) −54207.9 237500.i −0.131911 0.577940i
\(177\) −592411. 285290.i −1.42131 0.684468i
\(178\) 641766. 1.51819
\(179\) 333068. 0.776963 0.388482 0.921456i \(-0.373000\pi\)
0.388482 + 0.921456i \(0.373000\pi\)
\(180\) −11427.6 5503.23i −0.0262889 0.0126601i
\(181\) 38047.0 166695.i 0.0863225 0.378203i −0.913251 0.407397i \(-0.866437\pi\)
0.999574 + 0.0291932i \(0.00929380\pi\)
\(182\) −2361.70 + 1137.33i −0.00528501 + 0.00254513i
\(183\) 194741. 853217.i 0.429863 1.88335i
\(184\) 538226. 674914.i 1.17198 1.46962i
\(185\) −149310. 71903.9i −0.320745 0.154462i
\(186\) 213545. 267777.i 0.452593 0.567534i
\(187\) −50030.9 219200.i −0.104625 0.458391i
\(188\) 7972.29 3839.25i 0.0164508 0.00792231i
\(189\) 95530.3 46005.0i 0.194530 0.0936807i
\(190\) 80277.7 + 100665.i 0.161328 + 0.202299i
\(191\) −12613.4 55263.1i −0.0250179 0.109610i 0.960877 0.276974i \(-0.0893317\pi\)
−0.985895 + 0.167364i \(0.946475\pi\)
\(192\) −208123. + 911844.i −0.407442 + 1.78512i
\(193\) 399113. + 500472.i 0.771264 + 0.967135i 0.999980 0.00635870i \(-0.00202405\pi\)
−0.228716 + 0.973493i \(0.573453\pi\)
\(194\) 235893. + 295801.i 0.449999 + 0.564281i
\(195\) 9131.68 40008.5i 0.0171974 0.0753469i
\(196\) 2546.15 + 11155.4i 0.00473416 + 0.0207417i
\(197\) 402582. + 504822.i 0.739075 + 0.926771i 0.999247 0.0387912i \(-0.0123507\pi\)
−0.260172 + 0.965562i \(0.583779\pi\)
\(198\) 731311. 352181.i 1.32568 0.638415i
\(199\) −507195. + 244252.i −0.907908 + 0.437226i −0.828739 0.559636i \(-0.810941\pi\)
−0.0791695 + 0.996861i \(0.525227\pi\)
\(200\) −87682.2 384161.i −0.155002 0.679107i
\(201\) 182100. 228347.i 0.317922 0.398662i
\(202\) 393029. + 189273.i 0.677713 + 0.326370i
\(203\) 47747.7 59873.7i 0.0813227 0.101975i
\(204\) 4292.53 18806.8i 0.00722168 0.0316402i
\(205\) −311073. + 149805.i −0.516985 + 0.248967i
\(206\) 162796. 713255.i 0.267286 1.17105i
\(207\) 2.64695e6 + 1.27470e6i 4.29358 + 2.06768i
\(208\) 48343.7 0.0774786
\(209\) −172639. −0.273383
\(210\) 45323.7 + 21826.8i 0.0709214 + 0.0341540i
\(211\) −217186. 951553.i −0.335835 1.47139i −0.807635 0.589682i \(-0.799253\pi\)
0.471801 0.881705i \(-0.343604\pi\)
\(212\) −10363.6 12995.5i −0.0158369 0.0198588i
\(213\) −1.43272e6 + 1.79658e6i −2.16378 + 2.71329i
\(214\) −235825. −0.352010
\(215\) 368226. + 15843.6i 0.543273 + 0.0233754i
\(216\) −1.91451e6 −2.79205
\(217\) −12686.0 + 15907.7i −0.0182884 + 0.0229329i
\(218\) −143467. 179901.i −0.204461 0.256385i
\(219\) −182695. 800439.i −0.257405 1.12776i
\(220\) 4370.34 + 2104.65i 0.00608777 + 0.00293172i
\(221\) 44618.6 0.0614519
\(222\) 909918. 1.23914
\(223\) −253925. 122284.i −0.341935 0.164667i 0.255033 0.966932i \(-0.417914\pi\)
−0.596968 + 0.802265i \(0.703628\pi\)
\(224\) −546.920 + 2396.21i −0.000728289 + 0.00319084i
\(225\) 1.20823e6 581855.i 1.59109 0.766229i
\(226\) −249596. + 1.09355e6i −0.325062 + 1.42419i
\(227\) −549547. + 689110.i −0.707848 + 0.887614i −0.997582 0.0694933i \(-0.977862\pi\)
0.289734 + 0.957107i \(0.406433\pi\)
\(228\) −13345.1 6426.67i −0.0170014 0.00818746i
\(229\) −529519. + 663995.i −0.667256 + 0.836713i −0.994112 0.108362i \(-0.965440\pi\)
0.326855 + 0.945074i \(0.394011\pi\)
\(230\) 186464. + 816954.i 0.232422 + 1.01831i
\(231\) −60771.2 + 29265.9i −0.0749322 + 0.0360854i
\(232\) −1.24583e6 + 599959.i −1.51963 + 0.731816i
\(233\) −287044. 359942.i −0.346384 0.434352i 0.577870 0.816129i \(-0.303884\pi\)
−0.924255 + 0.381776i \(0.875312\pi\)
\(234\) 35843.6 + 157041.i 0.0427930 + 0.187488i
\(235\) 87401.6 382931.i 0.103240 0.452326i
\(236\) 9616.50 + 12058.7i 0.0112392 + 0.0140936i
\(237\) 611417. + 766692.i 0.707077 + 0.886646i
\(238\) −12170.9 + 53324.3i −0.0139278 + 0.0610215i
\(239\) 105684. + 463033.i 0.119678 + 0.524345i 0.998855 + 0.0478482i \(0.0152364\pi\)
−0.879176 + 0.476496i \(0.841906\pi\)
\(240\) −578457. 725362.i −0.648251 0.812881i
\(241\) −456857. + 220011.i −0.506685 + 0.244007i −0.669720 0.742614i \(-0.733586\pi\)
0.163035 + 0.986620i \(0.447872\pi\)
\(242\) 549875. 264806.i 0.603568 0.290663i
\(243\) −488032. 2.13821e6i −0.530192 2.32292i
\(244\) −12799.4 + 16050.0i −0.0137631 + 0.0172584i
\(245\) 457612. + 220374.i 0.487060 + 0.234556i
\(246\) 1.18197e6 1.48214e6i 1.24528 1.56153i
\(247\) 7623.55 33400.9i 0.00795087 0.0348350i
\(248\) 331002. 159402.i 0.341744 0.164575i
\(249\) 539677. 2.36448e6i 0.551615 2.41678i
\(250\) 833923. + 401596.i 0.843871 + 0.406387i
\(251\) 154152. 0.154441 0.0772207 0.997014i \(-0.475395\pi\)
0.0772207 + 0.997014i \(0.475395\pi\)
\(252\) −4137.15 −0.00410393
\(253\) −1.01230e6 487496.i −0.994274 0.478817i
\(254\) −141199. 618634.i −0.137324 0.601658i
\(255\) −533884. 669470.i −0.514158 0.644734i
\(256\) 41954.0 52608.6i 0.0400104 0.0501715i
\(257\) 305337. 0.288367 0.144184 0.989551i \(-0.453944\pi\)
0.144184 + 0.989551i \(0.453944\pi\)
\(258\) −1.85932e6 + 798849.i −1.73902 + 0.747163i
\(259\) −54055.0 −0.0500711
\(260\) −600.183 + 752.605i −0.000550618 + 0.000690453i
\(261\) −2.93413e6 3.67928e6i −2.66611 3.34319i
\(262\) 411702. + 1.80378e6i 0.370535 + 1.62342i
\(263\) 1.25905e6 + 606329.i 1.12242 + 0.540529i 0.900639 0.434568i \(-0.143099\pi\)
0.221780 + 0.975097i \(0.428813\pi\)
\(264\) 1.21791e6 1.07548
\(265\) −737828. −0.645417
\(266\) 37838.4 + 18222.0i 0.0327890 + 0.0157904i
\(267\) −729240. + 3.19501e6i −0.626026 + 2.74280i
\(268\) −6172.57 + 2972.55i −0.00524963 + 0.00252809i
\(269\) −27115.6 + 118801.i −0.0228475 + 0.100101i −0.985066 0.172177i \(-0.944920\pi\)
0.962219 + 0.272278i \(0.0877771\pi\)
\(270\) 1.15871e6 1.45298e6i 0.967313 1.21297i
\(271\) 866499. + 417284.i 0.716712 + 0.345150i 0.756443 0.654060i \(-0.226936\pi\)
−0.0397304 + 0.999210i \(0.512650\pi\)
\(272\) 628938. 788663.i 0.515449 0.646352i
\(273\) −2978.57 13050.0i −0.00241881 0.0105975i
\(274\) −1.99335e6 + 959946.i −1.60401 + 0.772450i
\(275\) −462075. + 222524.i −0.368452 + 0.177437i
\(276\) −60103.8 75367.8i −0.0474929 0.0595543i
\(277\) −270120. 1.18347e6i −0.211523 0.926741i −0.963533 0.267590i \(-0.913773\pi\)
0.752010 0.659151i \(-0.229084\pi\)
\(278\) −216520. + 948636.i −0.168030 + 0.736186i
\(279\) 779562. + 977540.i 0.599571 + 0.751838i
\(280\) 33643.8 + 42188.0i 0.0256454 + 0.0321583i
\(281\) 459430. 2.01289e6i 0.347099 1.52074i −0.436633 0.899640i \(-0.643829\pi\)
0.783731 0.621100i \(-0.213314\pi\)
\(282\) 479891. + 2.10254e6i 0.359352 + 1.57442i
\(283\) −20733.9 25999.5i −0.0153892 0.0192974i 0.774077 0.633091i \(-0.218214\pi\)
−0.789467 + 0.613794i \(0.789643\pi\)
\(284\) 48564.2 23387.3i 0.0357290 0.0172062i
\(285\) −592376. + 285273.i −0.432002 + 0.208041i
\(286\) −13708.0 60058.6i −0.00990965 0.0434170i
\(287\) −70216.6 + 88048.8i −0.0503193 + 0.0630984i
\(288\) 136079. + 65532.0i 0.0966737 + 0.0465556i
\(289\) −304791. + 382196.i −0.214663 + 0.269179i
\(290\) 298682. 1.30861e6i 0.208552 0.913726i
\(291\) −1.74068e6 + 838267.i −1.20500 + 0.580296i
\(292\) −4285.50 + 18776.0i −0.00294133 + 0.0128868i
\(293\) 749512. + 360946.i 0.510046 + 0.245625i 0.671163 0.741310i \(-0.265795\pi\)
−0.161116 + 0.986935i \(0.551509\pi\)
\(294\) −2.78876e6 −1.88167
\(295\) 684641. 0.458045
\(296\) 879370. + 423482.i 0.583368 + 0.280935i
\(297\) 554486. + 2.42936e6i 0.364753 + 1.59809i
\(298\) −696901. 873886.i −0.454601 0.570051i
\(299\) 139019. 174325.i 0.0899285 0.112767i
\(300\) −44002.5 −0.0282276
\(301\) 110456. 47456.8i 0.0702704 0.0301913i
\(302\) 111650. 0.0704438
\(303\) −1.38889e6 + 1.74161e6i −0.869080 + 1.08979i
\(304\) −482923. 605566.i −0.299705 0.375818i
\(305\) 202772. + 888402.i 0.124812 + 0.546839i
\(306\) 3.02823e6 + 1.45832e6i 1.84878 + 0.890326i
\(307\) −288415. −0.174652 −0.0873258 0.996180i \(-0.527832\pi\)
−0.0873258 + 0.996180i \(0.527832\pi\)
\(308\) 1582.21 0.000950355
\(309\) 3.36593e6 + 1.62095e6i 2.00544 + 0.965767i
\(310\) −79356.3 + 347683.i −0.0469005 + 0.205484i
\(311\) 2.30091e6 1.10806e6i 1.34896 0.649623i 0.386811 0.922159i \(-0.373577\pi\)
0.962146 + 0.272535i \(0.0878622\pi\)
\(312\) −53781.6 + 235632.i −0.0312786 + 0.137040i
\(313\) 419686. 526269.i 0.242138 0.303632i −0.645881 0.763438i \(-0.723510\pi\)
0.888019 + 0.459806i \(0.152081\pi\)
\(314\) −1.78325e6 858770.i −1.02068 0.491533i
\(315\) −114500. + 143579.i −0.0650174 + 0.0815292i
\(316\) −5118.63 22426.2i −0.00288360 0.0126339i
\(317\) 3.12798e6 1.50636e6i 1.74830 0.841937i 0.769075 0.639158i \(-0.220717\pi\)
0.979225 0.202779i \(-0.0649972\pi\)
\(318\) 3.64996e6 1.75773e6i 2.02405 0.974730i
\(319\) 1.12212e6 + 1.40710e6i 0.617395 + 0.774189i
\(320\) −216705. 949446.i −0.118302 0.518317i
\(321\) 267968. 1.17405e6i 0.145151 0.635949i
\(322\) 170417. + 213696.i 0.0915951 + 0.114857i
\(323\) −445711. 558905.i −0.237710 0.298079i
\(324\) −25011.6 + 109583.i −0.0132367 + 0.0579937i
\(325\) −22647.6 99225.6i −0.0118936 0.0521093i
\(326\) −893898. 1.12091e6i −0.465848 0.584155i
\(327\) 1.05865e6 509821.i 0.547500 0.263662i
\(328\) 1.83209e6 882286.i 0.940288 0.452819i
\(329\) −28508.6 124904.i −0.0145207 0.0636192i
\(330\) −737112. + 924309.i −0.372605 + 0.467232i
\(331\) 721274. + 347347.i 0.361852 + 0.174259i 0.605971 0.795487i \(-0.292785\pi\)
−0.244120 + 0.969745i \(0.578499\pi\)
\(332\) −35470.5 + 44478.6i −0.0176613 + 0.0221465i
\(333\) −739152. + 3.23844e6i −0.365278 + 1.60039i
\(334\) −255910. + 123240.i −0.125522 + 0.0604483i
\(335\) −67670.9 + 296486.i −0.0329450 + 0.144342i
\(336\) −272652. 131302.i −0.131753 0.0634489i
\(337\) 306992. 0.147249 0.0736245 0.997286i \(-0.476543\pi\)
0.0736245 + 0.997286i \(0.476543\pi\)
\(338\) −2.11048e6 −1.00482
\(339\) −5.16058e6 2.48520e6i −2.43893 1.17453i
\(340\) 4469.54 + 19582.3i 0.00209684 + 0.00918687i
\(341\) −298134. 373849.i −0.138844 0.174105i
\(342\) 1.60908e6 2.01773e6i 0.743898 0.932819i
\(343\) 332315. 0.152516
\(344\) −2.16869e6 93312.0i −0.988101 0.0425149i
\(345\) −4.27905e6 −1.93553
\(346\) −1.08568e6 + 1.36140e6i −0.487541 + 0.611358i
\(347\) 1.93242e6 + 2.42317e6i 0.861543 + 1.08034i 0.995994 + 0.0894209i \(0.0285016\pi\)
−0.134451 + 0.990920i \(0.542927\pi\)
\(348\) 34360.3 + 150542.i 0.0152093 + 0.0666362i
\(349\) −2.60229e6 1.25320e6i −1.14365 0.550751i −0.236527 0.971625i \(-0.576009\pi\)
−0.907119 + 0.420874i \(0.861723\pi\)
\(350\) 124764. 0.0544399
\(351\) −494502. −0.214240
\(352\) −52041.7 25061.9i −0.0223869 0.0107810i
\(353\) −112282. + 491941.i −0.0479595 + 0.210124i −0.993230 0.116163i \(-0.962941\pi\)
0.945271 + 0.326287i \(0.105798\pi\)
\(354\) −3.38685e6 + 1.63102e6i −1.43644 + 0.691754i
\(355\) 532418. 2.33268e6i 0.224224 0.982389i
\(356\) 47929.5 60101.7i 0.0200437 0.0251340i
\(357\) −251643. 121185.i −0.104500 0.0503243i
\(358\) 1.18723e6 1.48874e6i 0.489585 0.613920i
\(359\) −423760. 1.85661e6i −0.173534 0.760301i −0.984525 0.175243i \(-0.943929\pi\)
0.810992 0.585058i \(-0.198928\pi\)
\(360\) 2.98753e6 1.43872e6i 1.21494 0.585086i
\(361\) 1.73634e6 836180.i 0.701242 0.337700i
\(362\) −609469. 764250.i −0.244445 0.306524i
\(363\) 693502. + 3.03843e6i 0.276237 + 1.21027i
\(364\) −69.8686 + 306.114i −2.76394e−5 + 0.000121096i
\(365\) 533009. + 668373.i 0.209413 + 0.262595i
\(366\) −3.11953e6 3.91177e6i −1.21727 1.52641i
\(367\) −710915. + 3.11472e6i −0.275520 + 1.20713i 0.627873 + 0.778316i \(0.283926\pi\)
−0.903392 + 0.428815i \(0.858931\pi\)
\(368\) −1.12171e6 4.91452e6i −0.431777 1.89174i
\(369\) 4.31486e6 + 5.41066e6i 1.64968 + 2.06864i
\(370\) −853614. + 411079.i −0.324158 + 0.156106i
\(371\) −216831. + 104421.i −0.0817876 + 0.0393868i
\(372\) −9129.11 39997.3i −0.00342036 0.0149856i
\(373\) 450895. 565404.i 0.167804 0.210420i −0.690818 0.723029i \(-0.742749\pi\)
0.858622 + 0.512609i \(0.171321\pi\)
\(374\) −1.15811e6 557717.i −0.428126 0.206175i
\(375\) −2.94692e6 + 3.69532e6i −1.08216 + 1.35698i
\(376\) −514757. + 2.25530e6i −0.187773 + 0.822686i
\(377\) −321787. + 154965.i −0.116605 + 0.0561538i
\(378\) 134889. 590986.i 0.0485563 0.212739i
\(379\) −95035.6 45766.7i −0.0339851 0.0163663i 0.416814 0.908992i \(-0.363147\pi\)
−0.450799 + 0.892625i \(0.648861\pi\)
\(380\) 15422.8 0.00547903
\(381\) 3.24029e6 1.14359
\(382\) −291975. 140608.i −0.102373 0.0493004i
\(383\) 1.11716e6 + 4.89458e6i 0.389150 + 1.70498i 0.667594 + 0.744525i \(0.267324\pi\)
−0.278444 + 0.960452i \(0.589819\pi\)
\(384\) 3.47827e6 + 4.36161e6i 1.20375 + 1.50945i
\(385\) 43789.2 54910.0i 0.0150562 0.0188799i
\(386\) 3.65965e6 1.25018
\(387\) −1.33276e6 7.26633e6i −0.452349 2.46625i
\(388\) 45319.3 0.0152828
\(389\) 1.64954e6 2.06846e6i 0.552700 0.693064i −0.424489 0.905433i \(-0.639546\pi\)
0.977190 + 0.212369i \(0.0681178\pi\)
\(390\) −146279. 183428.i −0.0486991 0.0610667i
\(391\) −1.03527e6 4.53583e6i −0.342463 1.50043i
\(392\) −2.69513e6 1.29791e6i −0.885860 0.426608i
\(393\) −9.44788e6 −3.08570
\(394\) 3.69146e6 1.19800
\(395\) −919957. 443028.i −0.296671 0.142869i
\(396\) 21635.2 94789.9i 0.00693302 0.0303755i
\(397\) 1.81639e6 874726.i 0.578405 0.278545i −0.121721 0.992564i \(-0.538841\pi\)
0.700126 + 0.714019i \(0.253127\pi\)
\(398\) −716158. + 3.13769e6i −0.226621 + 0.992894i
\(399\) −133713. + 167671.i −0.0420477 + 0.0527262i
\(400\) −2.07311e6 998359.i −0.647848 0.311987i
\(401\) −1.16760e6 + 1.46413e6i −0.362605 + 0.454692i −0.929349 0.369201i \(-0.879631\pi\)
0.566745 + 0.823894i \(0.308203\pi\)
\(402\) −371557. 1.62790e6i −0.114673 0.502414i
\(403\) 85495.1 41172.3i 0.0262228 0.0126282i
\(404\) 47078.4 22671.7i 0.0143505 0.00691085i
\(405\) 3.11082e6 + 3.90085e6i 0.942405 + 1.18174i
\(406\) −97424.1 426843.i −0.0293327 0.128515i
\(407\) 282680. 1.23850e6i 0.0845881 0.370605i
\(408\) 3.14434e6 + 3.94288e6i 0.935147 + 1.17264i
\(409\) 493017. + 618224.i 0.145732 + 0.182742i 0.849340 0.527846i \(-0.177000\pi\)
−0.703608 + 0.710588i \(0.748429\pi\)
\(410\) −439235. + 1.92441e6i −0.129044 + 0.565378i
\(411\) −2.51401e6 1.10146e7i −0.734112 3.21636i
\(412\) −54638.5 68514.5i −0.0158583 0.0198856i
\(413\) 201201. 96893.2i 0.0580437 0.0279524i
\(414\) 1.51328e7 7.28757e6i 4.33928 2.08969i
\(415\) 561932. + 2.46199e6i 0.160164 + 0.701722i
\(416\) 7146.92 8961.96i 0.00202482 0.00253904i
\(417\) −4.47671e6 2.15587e6i −1.26072 0.607132i
\(418\) −615375. + 771656.i −0.172266 + 0.216015i
\(419\) −774780. + 3.39453e6i −0.215597 + 0.944593i 0.745091 + 0.666963i \(0.232406\pi\)
−0.960688 + 0.277630i \(0.910451\pi\)
\(420\) 5429.04 2614.49i 0.00150176 0.000723208i
\(421\) −540640. + 2.36870e6i −0.148663 + 0.651335i 0.844595 + 0.535406i \(0.179842\pi\)
−0.993258 + 0.115929i \(0.963016\pi\)
\(422\) −5.02740e6 2.42107e6i −1.37424 0.661799i
\(423\) −7.87286e6 −2.13935
\(424\) 4.34548e6 1.17388
\(425\) −1.91337e6 921431.i −0.513839 0.247452i
\(426\) 2.92332e6 + 1.28079e7i 0.780463 + 3.41943i
\(427\) 185320. + 232385.i 0.0491874 + 0.0616790i
\(428\) −17612.3 + 22085.1i −0.00464737 + 0.00582761i
\(429\) 314576. 0.0825243
\(430\) 1.38337e6 1.58941e6i 0.360801 0.414540i
\(431\) 64228.6 0.0166546 0.00832732 0.999965i \(-0.497349\pi\)
0.00832732 + 0.999965i \(0.497349\pi\)
\(432\) −6.97043e6 + 8.74064e6i −1.79701 + 2.25338i
\(433\) 2.86823e6 + 3.59664e6i 0.735180 + 0.921887i 0.999090 0.0426606i \(-0.0135834\pi\)
−0.263909 + 0.964547i \(0.585012\pi\)
\(434\) 25884.4 + 113407.i 0.00659651 + 0.0289012i
\(435\) 6.17548e6 + 2.97395e6i 1.56476 + 0.753548i
\(436\) −27562.5 −0.00694388
\(437\) −3.57235e6 −0.894851
\(438\) −4.22901e6 2.03658e6i −1.05330 0.507244i
\(439\) 768983. 3.36914e6i 0.190439 0.834367i −0.785940 0.618303i \(-0.787821\pi\)
0.976379 0.216065i \(-0.0693222\pi\)
\(440\) −1.14255e6 + 550221.i −0.281347 + 0.135489i
\(441\) 2.26539e6 9.92531e6i 0.554684 2.43023i
\(442\) 159044. 199435.i 0.0387225 0.0485564i
\(443\) 4.77890e6 + 2.30140e6i 1.15696 + 0.557163i 0.911118 0.412146i \(-0.135221\pi\)
0.245844 + 0.969309i \(0.420935\pi\)
\(444\) 67956.1 85214.3i 0.0163595 0.0205142i
\(445\) −759311. 3.32676e6i −0.181769 0.796382i
\(446\) −1.45171e6 + 699105.i −0.345575 + 0.166420i
\(447\) 5.14249e6 2.47649e6i 1.21732 0.586231i
\(448\) −198054. 248352.i −0.0466218 0.0584619i
\(449\) −476730. 2.08869e6i −0.111598 0.488943i −0.999578 0.0290604i \(-0.990748\pi\)
0.887980 0.459883i \(-0.152109\pi\)
\(450\) 1.70602e6 7.47458e6i 0.397150 1.74003i
\(451\) −1.65017e6 2.06924e6i −0.382020 0.479038i
\(452\) 83770.7 + 105045.i 0.0192862 + 0.0241841i
\(453\) −126868. + 555847.i −0.0290474 + 0.127265i
\(454\) 1.12129e6 + 4.91271e6i 0.255317 + 1.11862i
\(455\) 8689.92 + 10896.8i 0.00196783 + 0.00246758i
\(456\) 3.48884e6 1.68013e6i 0.785721 0.378383i
\(457\) 2.97239e6 1.43143e6i 0.665757 0.320612i −0.0703050 0.997526i \(-0.522397\pi\)
0.736062 + 0.676914i \(0.236683\pi\)
\(458\) 1.08043e6 + 4.73366e6i 0.240676 + 1.05447i
\(459\) −6.43333e6 + 8.06714e6i −1.42529 + 1.78726i
\(460\) 90434.0 + 43550.7i 0.0199268 + 0.00959623i
\(461\) 1.51027e6 1.89382e6i 0.330981 0.415037i −0.588298 0.808645i \(-0.700202\pi\)
0.919279 + 0.393607i \(0.128773\pi\)
\(462\) −85808.9 + 375953.i −0.0187037 + 0.0819462i
\(463\) 4.67120e6 2.24953e6i 1.01269 0.487685i 0.147463 0.989068i \(-0.452889\pi\)
0.865226 + 0.501383i \(0.167175\pi\)
\(464\) −1.79677e6 + 7.87216e6i −0.387434 + 1.69746i
\(465\) −1.64075e6 790144.i −0.351893 0.169463i
\(466\) −2.63204e6 −0.561471
\(467\) 4.82580e6 1.02395 0.511973 0.859001i \(-0.328915\pi\)
0.511973 + 0.859001i \(0.328915\pi\)
\(468\) 17383.9 + 8371.66i 0.00366888 + 0.00176684i
\(469\) 22072.9 + 96707.7i 0.00463369 + 0.0203015i
\(470\) −1.40007e6 1.75564e6i −0.292352 0.366598i
\(471\) 6.30167e6 7.90204e6i 1.30889 1.64130i
\(472\) −4.03223e6 −0.833088
\(473\) 509697. + 2.77892e6i 0.104751 + 0.571115i
\(474\) 5.60636e6 1.14613
\(475\) −1.01669e6 + 1.27489e6i −0.206754 + 0.259262i
\(476\) 4084.88 + 5122.27i 0.000826345 + 0.00103620i
\(477\) 3.29087e6 + 1.44182e7i 0.662238 + 2.90145i
\(478\) 2.44637e6 + 1.17811e6i 0.489725 + 0.235839i
\(479\) 5.97289e6 1.18945 0.594725 0.803929i \(-0.297261\pi\)
0.594725 + 0.803929i \(0.297261\pi\)
\(480\) −219984. −0.0435801
\(481\) 227134. + 109382.i 0.0447631 + 0.0215568i
\(482\) −645082. + 2.82629e6i −0.126473 + 0.554114i
\(483\) −1.25752e6 + 605589.i −0.245271 + 0.118116i
\(484\) 16267.6 71272.8i 0.00315652 0.0138296i
\(485\) 1.25426e6 1.57279e6i 0.242122 0.303611i
\(486\) −1.12969e7 5.44031e6i −2.16955 1.04480i
\(487\) −4.81796e6 + 6.04153e6i −0.920536 + 1.15432i 0.0671308 + 0.997744i \(0.478616\pi\)
−0.987667 + 0.156571i \(0.949956\pi\)
\(488\) −1.19424e6 5.23229e6i −0.227008 0.994587i
\(489\) 6.59616e6 3.17654e6i 1.24744 0.600734i
\(490\) 2.61620e6 1.25989e6i 0.492244 0.237052i
\(491\) 2.50581e6 + 3.14219e6i 0.469077 + 0.588204i 0.958945 0.283592i \(-0.0915263\pi\)
−0.489868 + 0.871797i \(0.662955\pi\)
\(492\) −50529.4 221384.i −0.00941090 0.0412319i
\(493\) −1.65832e6 + 7.26558e6i −0.307292 + 1.34633i
\(494\) −122121. 153134.i −0.0225150 0.0282329i
\(495\) −2.69088e6 3.37425e6i −0.493607 0.618963i
\(496\) 477380. 2.09154e6i 0.0871285 0.381735i
\(497\) −173664. 760872.i −0.0315369 0.138172i
\(498\) −8.64502e6 1.08405e7i −1.56204 1.95874i
\(499\) −8.43930e6 + 4.06415e6i −1.51724 + 0.730666i −0.992688 0.120711i \(-0.961483\pi\)
−0.524555 + 0.851377i \(0.675768\pi\)
\(500\) 99890.2 48104.6i 0.0178689 0.00860521i
\(501\) −322753. 1.41407e6i −0.0574481 0.251697i
\(502\) 549478. 689024.i 0.0973176 0.122032i
\(503\) −5.03735e6 2.42586e6i −0.887733 0.427509i −0.0662898 0.997800i \(-0.521116\pi\)
−0.821443 + 0.570291i \(0.806830\pi\)
\(504\) 674356. 845615.i 0.118253 0.148285i
\(505\) 516128. 2.26131e6i 0.0900594 0.394576i
\(506\) −5.78736e6 + 2.78704e6i −1.00486 + 0.483913i
\(507\) 2.39814e6 1.05069e7i 0.414338 1.81533i
\(508\) −68480.7 32978.5i −0.0117736 0.00566986i
\(509\) −9.59933e6 −1.64228 −0.821139 0.570729i \(-0.806661\pi\)
−0.821139 + 0.570729i \(0.806661\pi\)
\(510\) −4.89543e6 −0.833423
\(511\) 251231. + 120986.i 0.0425618 + 0.0204967i
\(512\) 1.27509e6 + 5.58652e6i 0.214964 + 0.941818i
\(513\) 4.93976e6 + 6.19426e6i 0.828728 + 1.03919i
\(514\) 1.08838e6 1.36479e6i 0.181708 0.227854i
\(515\) −3.88996e6 −0.646289
\(516\) −64048.6 + 233788.i −0.0105897 + 0.0386542i
\(517\) 3.01088e6 0.495413
\(518\) −192681. + 241614.i −0.0315511 + 0.0395638i
\(519\) −5.54401e6 6.95197e6i −0.903454 1.13290i
\(520\) −55999.4 245349.i −0.00908186 0.0397902i
\(521\) 8.48447e6 + 4.08590e6i 1.36940 + 0.659468i 0.966711 0.255869i \(-0.0823615\pi\)
0.402688 + 0.915337i \(0.368076\pi\)
\(522\) −2.69043e7 −4.32162
\(523\) 966295. 0.154474 0.0772370 0.997013i \(-0.475390\pi\)
0.0772370 + 0.997013i \(0.475390\pi\)
\(524\) 199673. + 96157.3i 0.0317680 + 0.0152987i
\(525\) −141769. + 621130.i −0.0224483 + 0.0983523i
\(526\) 7.19809e6 3.46642e6i 1.13437 0.546282i
\(527\) 440596. 1.93038e6i 0.0691057 0.302772i
\(528\) 4.43421e6 5.56033e6i 0.692200 0.867992i
\(529\) −1.51481e7 7.29496e6i −2.35353 1.13340i
\(530\) −2.63001e6 + 3.29793e6i −0.406694 + 0.509978i
\(531\) −3.05364e6 1.33789e7i −0.469982 2.05913i
\(532\) 4532.41 2182.69i 0.000694305 0.000334360i
\(533\) 473213. 227887.i 0.0721504 0.0347458i
\(534\) 1.16816e7 + 1.46482e7i 1.77275 + 2.22296i
\(535\) 279018. + 1.22246e6i 0.0421452 + 0.184650i
\(536\) 398552. 1.74617e6i 0.0599202 0.262527i
\(537\) 6.06259e6 + 7.60224e6i 0.907240 + 1.13764i
\(538\) 434361. + 544671.i 0.0646986 + 0.0811295i
\(539\) −866371. + 3.79582e6i −0.128449 + 0.562773i
\(540\) −49535.3 217028.i −0.00731022 0.0320282i
\(541\) −3.78147e6 4.74181e6i −0.555479 0.696548i 0.422236 0.906486i \(-0.361245\pi\)
−0.977715 + 0.209938i \(0.932674\pi\)
\(542\) 4.95383e6 2.38564e6i 0.724341 0.348824i
\(543\) 4.49733e6 2.16580e6i 0.654569 0.315224i
\(544\) −53222.9 233185.i −0.00771084 0.0337834i
\(545\) −762822. + 956548.i −0.110010 + 0.137948i
\(546\) −68947.7 33203.5i −0.00989779 0.00476652i
\(547\) 3.72409e6 4.66987e6i 0.532172 0.667323i −0.440972 0.897521i \(-0.645366\pi\)
0.973144 + 0.230198i \(0.0739374\pi\)
\(548\) −58971.4 + 258371.i −0.00838861 + 0.0367529i
\(549\) 1.64562e7 7.92491e6i 2.33024 1.12218i
\(550\) −652449. + 2.85857e6i −0.0919687 + 0.402941i
\(551\) 5.15558e6 + 2.48280e6i 0.723433 + 0.348387i
\(552\) 2.52017e7 3.52033
\(553\) −333054. −0.0463129
\(554\) −6.25271e6 3.01115e6i −0.865553 0.416828i
\(555\) −1.07658e6 4.71679e6i −0.148359 0.650002i
\(556\) 72669.7 + 91124.9i 0.00996934 + 0.0125012i
\(557\) −5.81896e6 + 7.29674e6i −0.794707 + 0.996531i 0.205135 + 0.978734i \(0.434237\pi\)
−0.999842 + 0.0177973i \(0.994335\pi\)
\(558\) 7.14816e6 0.971872
\(559\) −560155. 24101.8i −0.0758192 0.00326226i
\(560\) 315100. 0.0424599
\(561\) 4.09254e6 5.13188e6i 0.549016 0.688445i
\(562\) −7.35954e6 9.22857e6i −0.982901 1.23252i
\(563\) 1.57511e6 + 6.90099e6i 0.209430 + 0.917573i 0.964947 + 0.262444i \(0.0845286\pi\)
−0.755517 + 0.655129i \(0.772614\pi\)
\(564\) 232744. + 112084.i 0.0308092 + 0.0148369i
\(565\) 5.96401e6 0.785990
\(566\) −190119. −0.0249450
\(567\) 1.46627e6 + 706117.i 0.191538 + 0.0922399i
\(568\) −3.13571e6 + 1.37384e7i −0.407816 + 1.78676i
\(569\) 4.47174e6 2.15348e6i 0.579024 0.278843i −0.121361 0.992608i \(-0.538726\pi\)
0.700385 + 0.713765i \(0.253012\pi\)
\(570\) −836434. + 3.66466e6i −0.107831 + 0.472440i
\(571\) 93497.5 117242.i 0.0120008 0.0150485i −0.775795 0.630985i \(-0.782651\pi\)
0.787796 + 0.615937i \(0.211222\pi\)
\(572\) −6648.28 3201.64i −0.000849609 0.000409150i
\(573\) 1.03178e6 1.29381e6i 0.131281 0.164621i
\(574\) 143270. + 627705.i 0.0181499 + 0.0795199i
\(575\) −9.56157e6 + 4.60461e6i −1.20603 + 0.580795i
\(576\) −1.75870e7 + 8.46945e6i −2.20869 + 1.06365i
\(577\) −945311. 1.18538e6i −0.118205 0.148224i 0.719209 0.694794i \(-0.244505\pi\)
−0.837413 + 0.546570i \(0.815933\pi\)
\(578\) 621894. + 2.72470e6i 0.0774278 + 0.339233i
\(579\) −4.15847e6 + 1.82194e7i −0.515510 + 2.25860i
\(580\) −100245. 125704.i −0.0123736 0.0155160i
\(581\) 513570. + 643996.i 0.0631189 + 0.0791486i
\(582\) −2.45784e6 + 1.07685e7i −0.300777 + 1.31779i
\(583\) −1.25855e6 5.51408e6i −0.153356 0.671895i
\(584\) −3.13919e6 3.93642e6i −0.380878 0.477606i
\(585\) 771655. 371609.i 0.0932252 0.0448949i
\(586\) 4.28501e6 2.06355e6i 0.515475 0.248240i
\(587\) −670703. 2.93854e6i −0.0803405 0.351995i 0.918740 0.394863i \(-0.129208\pi\)
−0.999081 + 0.0428676i \(0.986351\pi\)
\(588\) −208275. + 261169.i −0.0248424 + 0.0311514i
\(589\) −1.36978e6 659649.i −0.162690 0.0783474i
\(590\) 2.44042e6 3.06019e6i 0.288626 0.361925i
\(591\) −4.19461e6 + 1.83778e7i −0.493995 + 2.16433i
\(592\) 5.13505e6 2.47291e6i 0.602200 0.290004i
\(593\) 1.23895e6 5.42818e6i 0.144683 0.633896i −0.849629 0.527382i \(-0.823174\pi\)
0.994311 0.106514i \(-0.0339690\pi\)
\(594\) 1.28352e7 + 6.18110e6i 1.49257 + 0.718786i
\(595\) 290820. 0.0336769
\(596\) −133887. −0.0154391
\(597\) −1.48071e7 7.13073e6i −1.70033 0.818838i
\(598\) −283655. 1.24277e6i −0.0324367 0.142115i
\(599\) 792710. + 994026.i 0.0902708 + 0.113196i 0.824916 0.565256i \(-0.191223\pi\)
−0.734645 + 0.678452i \(0.762651\pi\)
\(600\) 7.17241e6 8.99392e6i 0.813368 1.01993i
\(601\) 5.67010e6 0.640331 0.320166 0.947362i \(-0.396261\pi\)
0.320166 + 0.947362i \(0.396261\pi\)
\(602\) 181602. 662874.i 0.0204234 0.0745487i
\(603\) 6.09558e6 0.682687
\(604\) 8338.47 10456.1i 0.000930023 0.00116621i
\(605\) −2.02328e6 2.53711e6i −0.224733 0.281807i
\(606\) 2.83388e6 + 1.24160e7i 0.313472 + 1.37341i
\(607\) −7.23273e6 3.48310e6i −0.796766 0.383702i −0.00921933 0.999958i \(-0.502935\pi\)
−0.787546 + 0.616255i \(0.788649\pi\)
\(608\) −183653. −0.0201483
\(609\) 2.23572e6 0.244273
\(610\) 4.69375e6 + 2.26039e6i 0.510734 + 0.245957i
\(611\) −132958. + 582525.i −0.0144082 + 0.0631265i
\(612\) 362732. 174683.i 0.0391478 0.0188526i
\(613\) −288790. + 1.26527e6i −0.0310407 + 0.135998i −0.988074 0.153980i \(-0.950791\pi\)
0.957033 + 0.289978i \(0.0936480\pi\)
\(614\) −1.02807e6 + 1.28915e6i −0.110052 + 0.138001i
\(615\) −9.08151e6 4.37343e6i −0.968212 0.466266i
\(616\) −257899. + 323396.i −0.0273841 + 0.0343386i
\(617\) −221626. 971009.i −0.0234374 0.102686i 0.961856 0.273555i \(-0.0881996\pi\)
−0.985294 + 0.170869i \(0.945342\pi\)
\(618\) 1.92432e7 9.26705e6i 2.02678 0.976046i
\(619\) −1.19759e7 + 5.76727e6i −1.25626 + 0.604983i −0.939183 0.343416i \(-0.888416\pi\)
−0.317077 + 0.948400i \(0.602701\pi\)
\(620\) 26634.0 + 33398.0i 0.00278264 + 0.00348932i
\(621\) 1.14738e7 + 5.02700e7i 1.19393 + 5.23094i
\(622\) 3.24888e6 1.42343e7i 0.336711 1.47523i
\(623\) −693962. 870201.i −0.0716334 0.0898254i
\(624\) 879964. + 1.10344e6i 0.0904698 + 0.113446i
\(625\) −435386. + 1.90755e6i −0.0445836 + 0.195333i
\(626\) −856325. 3.75181e6i −0.0873379 0.382652i
\(627\) −3.14241e6 3.94046e6i −0.319223 0.400293i
\(628\) −213604. + 102866.i −0.0216128 + 0.0104082i
\(629\) 4.73937e6 2.28236e6i 0.477633 0.230016i
\(630\) 233626. + 1.02358e6i 0.0234514 + 0.102747i
\(631\) −2.15700e6 + 2.70479e6i −0.215664 + 0.270434i −0.877882 0.478877i \(-0.841044\pi\)
0.662218 + 0.749311i \(0.269615\pi\)
\(632\) 5.41814e6 + 2.60924e6i 0.539582 + 0.259849i
\(633\) 1.77658e7 2.22776e7i 1.76229 2.20984i
\(634\) 4.41670e6 1.93508e7i 0.436390 1.91195i
\(635\) −3.03979e6 + 1.46388e6i −0.299164 + 0.144070i
\(636\) 107981. 473095.i 0.0105853 0.0463773i
\(637\) −696131. 335239.i −0.0679740 0.0327345i
\(638\) 1.02893e7 1.00076
\(639\) −4.79585e7 −4.64637
\(640\) −5.23351e6 2.52033e6i −0.505061 0.243224i
\(641\) −3.47070e6 1.52061e7i −0.333635 1.46175i −0.812035 0.583609i \(-0.801640\pi\)
0.478400 0.878142i \(-0.341217\pi\)
\(642\) −4.29254e6 5.38268e6i −0.411034 0.515420i
\(643\) −281109. + 352499.i −0.0268131 + 0.0336226i −0.795057 0.606534i \(-0.792559\pi\)
0.768244 + 0.640157i \(0.221131\pi\)
\(644\) 32740.0 0.00311075
\(645\) 6.34091e6 + 8.69311e6i 0.600140 + 0.822765i
\(646\) −4.08693e6 −0.385315
\(647\) 3.32301e6 4.16692e6i 0.312084 0.391340i −0.600908 0.799318i \(-0.705194\pi\)
0.912992 + 0.407977i \(0.133766\pi\)
\(648\) −1.83214e7 2.29743e7i −1.71404 2.14934i
\(649\) 1.16783e6 + 5.11659e6i 0.108835 + 0.476836i
\(650\) −524245. 252463.i −0.0486688 0.0234377i
\(651\) −594005. −0.0549336
\(652\) −171734. −0.0158211
\(653\) −5.16659e6 2.48810e6i −0.474155 0.228341i 0.181515 0.983388i \(-0.441900\pi\)
−0.655671 + 0.755047i \(0.727614\pi\)
\(654\) 1.49482e6 6.54922e6i 0.136661 0.598749i
\(655\) 8.86327e6 4.26833e6i 0.807218 0.388736i
\(656\) 2.64229e6 1.15766e7i 0.239729 1.05032i
\(657\) 1.06836e7 1.33969e7i 0.965618 1.21085i
\(658\) −659915. 317799.i −0.0594188 0.0286146i
\(659\) −1.89045e6 + 2.37055e6i −0.169571 + 0.212635i −0.859354 0.511380i \(-0.829134\pi\)
0.689783 + 0.724016i \(0.257706\pi\)
\(660\) 31511.7 + 138062.i 0.00281587 + 0.0123371i
\(661\) −1.15329e7 + 5.55395e6i −1.02668 + 0.494423i −0.869909 0.493213i \(-0.835822\pi\)
−0.156770 + 0.987635i \(0.550108\pi\)
\(662\) 4.12357e6 1.98581e6i 0.365703 0.176113i
\(663\) 812159. + 1.01842e6i 0.0717558 + 0.0899790i
\(664\) −3.30953e6 1.45000e7i −0.291304 1.27629i
\(665\) 49689.6 217704.i 0.00435724 0.0190903i
\(666\) 1.18404e7 + 1.48474e7i 1.03438 + 1.29707i
\(667\) 2.32197e7 + 2.91166e7i 2.02089 + 2.53411i
\(668\) −7570.85 + 33170.1i −0.000656453 + 0.00287611i
\(669\) −1.83089e6 8.02166e6i −0.158160 0.692945i
\(670\) 1.08401e6 + 1.35931e6i 0.0932924 + 0.116985i
\(671\) −6.29350e6 + 3.03079e6i −0.539617 + 0.259866i
\(672\) −64648.5 + 31133.1i −0.00552250 + 0.00265949i
\(673\) −328669. 1.43999e6i −0.0279718 0.122553i 0.959014 0.283357i \(-0.0914482\pi\)
−0.986986 + 0.160805i \(0.948591\pi\)
\(674\) 1.09428e6 1.37219e6i 0.0927854 0.116349i
\(675\) 2.12056e7 + 1.02121e7i 1.79140 + 0.862691i
\(676\) −157619. + 197648.i −0.0132660 + 0.0166351i
\(677\) 1.97478e6 8.65209e6i 0.165595 0.725520i −0.822128 0.569303i \(-0.807213\pi\)
0.987723 0.156217i \(-0.0499298\pi\)
\(678\) −2.95034e7 + 1.42081e7i −2.46489 + 1.18703i
\(679\) 146011. 639718.i 0.0121538 0.0532493i
\(680\) −4.73108e6 2.27837e6i −0.392363 0.188952i
\(681\) −2.57319e7 −2.12620
\(682\) −2.73373e6 −0.225058
\(683\) 7.80912e6 + 3.76068e6i 0.640546 + 0.308471i 0.725818 0.687887i \(-0.241462\pi\)
−0.0852716 + 0.996358i \(0.527176\pi\)
\(684\) −68788.7 301383.i −0.00562182 0.0246308i
\(685\) 7.33458e6 + 9.19727e6i 0.597240 + 0.748915i
\(686\) 1.18455e6 1.48538e6i 0.0961042 0.120511i
\(687\) −2.47941e7 −2.00427
\(688\) −8.32188e6 + 9.56137e6i −0.670271 + 0.770104i
\(689\) 1.12240e6 0.0900743
\(690\) −1.52528e7 + 1.91264e7i −1.21963 + 1.52936i
\(691\) 1.46292e7 + 1.83445e7i 1.16554 + 1.46154i 0.860683 + 0.509142i \(0.170037\pi\)
0.304856 + 0.952398i \(0.401392\pi\)
\(692\) 46413.1 + 203349.i 0.00368447 + 0.0161427i
\(693\) −1.26833e6 610795.i −0.100323 0.0483128i
\(694\) 1.77192e7 1.39652
\(695\) 5.17368e6 0.406291
\(696\) −3.63709e7 1.75153e7i −2.84597 1.37055i
\(697\) 2.43869e6 1.06846e7i 0.190140 0.833059i
\(698\) −1.48774e7 + 7.16460e6i −1.15582 + 0.556613i
\(699\) 2.99079e6 1.31035e7i 0.231522 1.01436i
\(700\) 9317.81 11684.2i 0.000718735 0.000901265i
\(701\) 9.41823e6 + 4.53558e6i 0.723893 + 0.348609i 0.759279 0.650765i \(-0.225552\pi\)
−0.0353859 + 0.999374i \(0.511266\pi\)
\(702\) −1.76267e6 + 2.21032e6i −0.134998 + 0.169282i
\(703\) −898777. 3.93780e6i −0.0685904 0.300514i
\(704\) 6.72594e6 3.23904e6i 0.511471 0.246312i
\(705\) 1.03313e7 4.97528e6i 0.782854 0.377003i
\(706\) 1.79863e6 + 2.25542e6i 0.135810 + 0.170300i
\(707\) −168351. 737593.i −0.0126668 0.0554968i
\(708\) −100197. + 438991.i −0.00751226 + 0.0329134i
\(709\) −8.98551e6 1.12675e7i −0.671316 0.841803i 0.323206 0.946329i \(-0.395239\pi\)
−0.994522 + 0.104525i \(0.966668\pi\)
\(710\) −8.52873e6 1.06947e7i −0.634948 0.796200i
\(711\) −4.55420e6 + 1.99533e7i −0.337861 + 1.48027i
\(712\) 4.47201e6 + 1.95932e7i 0.330600 + 1.44845i
\(713\) −6.16920e6 7.73593e6i −0.454470 0.569887i
\(714\) −1.43866e6 + 692822.i −0.105612 + 0.0508600i
\(715\) −295110. + 142118.i −0.0215883 + 0.0103964i
\(716\) −50754.4 222370.i −0.00369991 0.0162104i
\(717\) −8.64498e6 + 1.08405e7i −0.628009 + 0.787499i
\(718\) −9.80916e6 4.72384e6i −0.710102 0.341967i
\(719\) 1.76125e6 2.20853e6i 0.127057 0.159324i −0.714234 0.699907i \(-0.753225\pi\)
0.841291 + 0.540583i \(0.181796\pi\)
\(720\) 4.30870e6 1.88777e7i 0.309753 1.35712i
\(721\) −1.14317e6 + 550523.i −0.0818981 + 0.0394400i
\(722\) 2.45172e6 1.07417e7i 0.175036 0.766882i
\(723\) −1.33376e7 6.42303e6i −0.948922 0.456977i
\(724\) −117090. −0.00830181
\(725\) 1.69994e7 1.20112
\(726\) 1.60531e7 + 7.73078e6i 1.13036 + 0.544355i
\(727\) 1.35095e6 + 5.91891e6i 0.0947990 + 0.415342i 0.999953 0.00974313i \(-0.00310138\pi\)
−0.905153 + 0.425085i \(0.860244\pi\)
\(728\) −51179.8 64177.5i −0.00357907 0.00448801i
\(729\) 1.50534e7 1.88763e7i 1.04909 1.31552i
\(730\) 4.88741e6 0.339447
\(731\) −7.68065e6 + 8.82463e6i −0.531624 + 0.610805i
\(732\) −599318. −0.0413408
\(733\) −6.84984e6 + 8.58942e6i −0.470891 + 0.590479i −0.959389 0.282086i \(-0.908973\pi\)
0.488498 + 0.872565i \(0.337545\pi\)
\(734\) 1.13881e7 + 1.42802e7i 0.780206 + 0.978347i
\(735\) 3.29954e6 + 1.44562e7i 0.225287 + 0.987045i
\(736\) −1.07688e6 518598.i −0.0732779 0.0352888i
\(737\) −2.33118e6 −0.158091
\(738\) 3.95649e7 2.67405
\(739\) 1.51139e6 + 727845.i 0.101804 + 0.0490262i 0.484093 0.875017i \(-0.339150\pi\)
−0.382289 + 0.924043i \(0.624864\pi\)
\(740\) −25253.4 + 110642.i −0.00169528 + 0.00742749i
\(741\) 901139. 433965.i 0.0602901 0.0290342i
\(742\) −306166. + 1.34140e6i −0.0204149 + 0.0894434i
\(743\) −7.49009e6 + 9.39228e6i −0.497754 + 0.624164i −0.965721 0.259582i \(-0.916415\pi\)
0.467967 + 0.883746i \(0.344987\pi\)
\(744\) 9.66330e6 + 4.65360e6i 0.640020 + 0.308217i
\(745\) −3.70547e6 + 4.64651e6i −0.244598 + 0.306716i
\(746\) −920004. 4.03080e6i −0.0605261 0.265182i
\(747\) 4.56044e7 2.19619e7i 2.99024 1.44002i
\(748\) −138723. + 66805.3i −0.00906553 + 0.00436573i
\(749\) 255005. + 319766.i 0.0166090 + 0.0208271i
\(750\) 6.01288e6 + 2.63441e7i 0.390328 + 1.71014i
\(751\) 5.28280e6 2.31454e7i 0.341794 1.49750i −0.453491 0.891261i \(-0.649822\pi\)
0.795285 0.606236i \(-0.207321\pi\)
\(752\) 8.42236e6 + 1.05613e7i 0.543112 + 0.681040i
\(753\) 2.80591e6 + 3.51849e6i 0.180337 + 0.226136i
\(754\) −454363. + 1.99070e6i −0.0291055 + 0.127519i
\(755\) −132100. 578768.i −0.00843404 0.0369519i
\(756\) −45272.1 56769.4i −0.00288089 0.00361252i
\(757\) −1.59678e7 + 7.68967e6i −1.01275 + 0.487717i −0.865248 0.501344i \(-0.832839\pi\)
−0.147507 + 0.989061i \(0.547125\pi\)
\(758\) −543324. + 261651.i −0.0343468