Properties

Label 36.6.h.a.11.9
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.9
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.75408 + 4.23165i) q^{2} +(-1.51698 - 15.5145i) q^{3} +(-3.81374 - 31.7719i) q^{4} +(-52.1793 + 30.1257i) q^{5} +(71.3467 + 51.8233i) q^{6} +(185.316 + 106.992i) q^{7} +(148.765 + 103.136i) q^{8} +(-238.398 + 47.0702i) q^{9} +O(q^{10})\) \(q+(-3.75408 + 4.23165i) q^{2} +(-1.51698 - 15.5145i) q^{3} +(-3.81374 - 31.7719i) q^{4} +(-52.1793 + 30.1257i) q^{5} +(71.3467 + 51.8233i) q^{6} +(185.316 + 106.992i) q^{7} +(148.765 + 103.136i) q^{8} +(-238.398 + 47.0702i) q^{9} +(68.4038 - 333.899i) q^{10} +(-185.570 + 321.417i) q^{11} +(-487.139 + 107.365i) q^{12} +(402.759 + 697.599i) q^{13} +(-1148.44 + 382.534i) q^{14} +(546.540 + 763.834i) q^{15} +(-994.911 + 242.339i) q^{16} -34.0704i q^{17} +(695.779 - 1185.52i) q^{18} -1173.48i q^{19} +(1156.15 + 1542.95i) q^{20} +(1378.81 - 3037.38i) q^{21} +(-663.480 - 1991.90i) q^{22} +(1980.40 + 3430.16i) q^{23} +(1374.43 - 2464.46i) q^{24} +(252.621 - 437.553i) q^{25} +(-4463.99 - 914.509i) q^{26} +(1091.91 + 3627.21i) q^{27} +(2692.60 - 6295.88i) q^{28} +(-382.894 - 221.064i) q^{29} +(-5284.04 - 554.731i) q^{30} +(1381.28 - 797.481i) q^{31} +(2709.48 - 5119.88i) q^{32} +(5268.13 + 2391.44i) q^{33} +(144.174 + 127.903i) q^{34} -12892.9 q^{35} +(2404.70 + 7394.84i) q^{36} -11057.6 q^{37} +(4965.76 + 4405.34i) q^{38} +(10211.9 - 7306.84i) q^{39} +(-10869.5 - 899.918i) q^{40} +(-7969.76 + 4601.35i) q^{41} +(7676.98 + 17237.2i) q^{42} +(-1061.38 - 612.787i) q^{43} +(10919.8 + 4670.13i) q^{44} +(11021.4 - 9638.00i) q^{45} +(-21949.8 - 4496.72i) q^{46} +(1222.66 - 2117.71i) q^{47} +(5269.03 + 15067.9i) q^{48} +(14491.1 + 25099.3i) q^{49} +(903.210 + 2711.61i) q^{50} +(-528.583 + 51.6840i) q^{51} +(20628.1 - 15456.9i) q^{52} -20212.4i q^{53} +(-19448.2 - 8996.24i) q^{54} -22361.8i q^{55} +(16533.7 + 35029.4i) q^{56} +(-18205.9 + 1780.14i) q^{57} +(2372.88 - 790.381i) q^{58} +(-1704.67 - 2952.58i) q^{59} +(22184.1 - 20277.7i) q^{60} +(-19919.9 + 34502.3i) q^{61} +(-1810.77 + 8838.89i) q^{62} +(-49214.9 - 16783.8i) q^{63} +(11493.9 + 30686.0i) q^{64} +(-42031.4 - 24266.8i) q^{65} +(-29896.7 + 13315.2i) q^{66} +(-6088.22 + 3515.04i) q^{67} +(-1082.48 + 129.935i) q^{68} +(50212.9 - 35928.4i) q^{69} +(48400.9 - 54558.1i) q^{70} +25694.1 q^{71} +(-40319.8 - 17585.0i) q^{72} +65431.6 q^{73} +(41511.2 - 46792.0i) q^{74} +(-7171.62 - 3255.53i) q^{75} +(-37283.7 + 4475.34i) q^{76} +(-68778.2 + 39709.1i) q^{77} +(-7416.35 + 70643.7i) q^{78} +(41126.9 + 23744.6i) q^{79} +(44613.1 - 42617.5i) q^{80} +(54617.8 - 22442.9i) q^{81} +(10447.9 - 50999.1i) q^{82} +(6605.97 - 11441.9i) q^{83} +(-101762. - 32223.5i) q^{84} +(1026.39 + 1777.77i) q^{85} +(6577.60 - 2190.93i) q^{86} +(-2848.84 + 6275.74i) q^{87} +(-60756.1 + 28676.6i) q^{88} -85682.2i q^{89} +(-590.590 + 82820.5i) q^{90} +172368. i q^{91} +(101430. - 76003.0i) q^{92} +(-14467.9 - 20220.0i) q^{93} +(4371.44 + 13123.9i) q^{94} +(35352.0 + 61231.4i) q^{95} +(-83542.4 - 34269.4i) q^{96} +(-27944.9 + 48402.0i) q^{97} +(-160612. - 32903.6i) q^{98} +(29110.3 - 85360.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.75408 + 4.23165i −0.663634 + 0.748057i
\(3\) −1.51698 15.5145i −0.0973142 0.995254i
\(4\) −3.81374 31.7719i −0.119179 0.992873i
\(5\) −52.1793 + 30.1257i −0.933412 + 0.538906i −0.887889 0.460058i \(-0.847829\pi\)
−0.0455230 + 0.998963i \(0.514495\pi\)
\(6\) 71.3467 + 51.8233i 0.809088 + 0.587688i
\(7\) 185.316 + 106.992i 1.42944 + 0.825290i 0.997077 0.0764081i \(-0.0243452\pi\)
0.432367 + 0.901698i \(0.357679\pi\)
\(8\) 148.765 + 103.136i 0.821817 + 0.569751i
\(9\) −238.398 + 47.0702i −0.981060 + 0.193705i
\(10\) 68.4038 333.899i 0.216312 1.05588i
\(11\) −185.570 + 321.417i −0.462410 + 0.800917i −0.999080 0.0428745i \(-0.986348\pi\)
0.536671 + 0.843792i \(0.319682\pi\)
\(12\) −487.139 + 107.365i −0.976562 + 0.215234i
\(13\) 402.759 + 697.599i 0.660978 + 1.14485i 0.980359 + 0.197221i \(0.0631917\pi\)
−0.319381 + 0.947626i \(0.603475\pi\)
\(14\) −1148.44 + 382.534i −1.56599 + 0.521615i
\(15\) 546.540 + 763.834i 0.627182 + 0.876539i
\(16\) −994.911 + 242.339i −0.971593 + 0.236660i
\(17\) 34.0704i 0.0285926i −0.999898 0.0142963i \(-0.995449\pi\)
0.999898 0.0142963i \(-0.00455082\pi\)
\(18\) 695.779 1185.52i 0.506163 0.862438i
\(19\) 1173.48i 0.745747i −0.927882 0.372874i \(-0.878373\pi\)
0.927882 0.372874i \(-0.121627\pi\)
\(20\) 1156.15 + 1542.95i 0.646308 + 0.862533i
\(21\) 1378.81 3037.38i 0.682267 1.50297i
\(22\) −663.480 1991.90i −0.292261 0.877425i
\(23\) 1980.40 + 3430.16i 0.780610 + 1.35206i 0.931587 + 0.363519i \(0.118425\pi\)
−0.150977 + 0.988537i \(0.548242\pi\)
\(24\) 1374.43 2464.46i 0.487073 0.873361i
\(25\) 252.621 437.553i 0.0808388 0.140017i
\(26\) −4463.99 914.509i −1.29506 0.265311i
\(27\) 1091.91 + 3627.21i 0.288256 + 0.957553i
\(28\) 2692.60 6295.88i 0.649048 1.51761i
\(29\) −382.894 221.064i −0.0845441 0.0488115i 0.457132 0.889399i \(-0.348877\pi\)
−0.541676 + 0.840587i \(0.682210\pi\)
\(30\) −5284.04 554.731i −1.07192 0.112533i
\(31\) 1381.28 797.481i 0.258153 0.149045i −0.365339 0.930875i \(-0.619047\pi\)
0.623492 + 0.781830i \(0.285714\pi\)
\(32\) 2709.48 5119.88i 0.467747 0.883862i
\(33\) 5268.13 + 2391.44i 0.842115 + 0.382274i
\(34\) 144.174 + 127.903i 0.0213889 + 0.0189751i
\(35\) −12892.9 −1.77901
\(36\) 2404.70 + 7394.84i 0.309246 + 0.950982i
\(37\) −11057.6 −1.32787 −0.663937 0.747788i \(-0.731116\pi\)
−0.663937 + 0.747788i \(0.731116\pi\)
\(38\) 4965.76 + 4405.34i 0.557861 + 0.494903i
\(39\) 10211.9 7306.84i 1.07509 0.769251i
\(40\) −10869.5 899.918i −1.07414 0.0889310i
\(41\) −7969.76 + 4601.35i −0.740433 + 0.427489i −0.822227 0.569160i \(-0.807268\pi\)
0.0817937 + 0.996649i \(0.473935\pi\)
\(42\) 7676.98 + 17237.2i 0.671533 + 1.50780i
\(43\) −1061.38 612.787i −0.0875384 0.0505403i 0.455592 0.890189i \(-0.349428\pi\)
−0.543130 + 0.839648i \(0.682761\pi\)
\(44\) 10919.8 + 4670.13i 0.850319 + 0.363661i
\(45\) 11021.4 9638.00i 0.811345 0.709505i
\(46\) −21949.8 4496.72i −1.52945 0.313330i
\(47\) 1222.66 2117.71i 0.0807348 0.139837i −0.822831 0.568286i \(-0.807607\pi\)
0.903566 + 0.428449i \(0.140940\pi\)
\(48\) 5269.03 + 15067.9i 0.330086 + 0.943951i
\(49\) 14491.1 + 25099.3i 0.862206 + 1.49338i
\(50\) 903.210 + 2711.61i 0.0510933 + 0.153392i
\(51\) −528.583 + 51.6840i −0.0284569 + 0.00278247i
\(52\) 20628.1 15456.9i 1.05791 0.792709i
\(53\) 20212.4i 0.988390i −0.869351 0.494195i \(-0.835463\pi\)
0.869351 0.494195i \(-0.164537\pi\)
\(54\) −19448.2 8996.24i −0.907601 0.419833i
\(55\) 22361.8i 0.996781i
\(56\) 16533.7 + 35029.4i 0.704531 + 1.49266i
\(57\) −18205.9 + 1780.14i −0.742208 + 0.0725718i
\(58\) 2372.88 790.381i 0.0926202 0.0308508i
\(59\) −1704.67 2952.58i −0.0637546 0.110426i 0.832386 0.554196i \(-0.186974\pi\)
−0.896141 + 0.443770i \(0.853641\pi\)
\(60\) 22184.1 20277.7i 0.795544 0.727177i
\(61\) −19919.9 + 34502.3i −0.685430 + 1.18720i 0.287872 + 0.957669i \(0.407052\pi\)
−0.973302 + 0.229530i \(0.926281\pi\)
\(62\) −1810.77 + 8838.89i −0.0598251 + 0.292024i
\(63\) −49214.9 16783.8i −1.56223 0.532769i
\(64\) 11493.9 + 30686.0i 0.350767 + 0.936463i
\(65\) −42031.4 24266.8i −1.23393 0.712410i
\(66\) −29896.7 + 13315.2i −0.844819 + 0.376260i
\(67\) −6088.22 + 3515.04i −0.165693 + 0.0956627i −0.580553 0.814222i \(-0.697164\pi\)
0.414861 + 0.909885i \(0.363830\pi\)
\(68\) −1082.48 + 129.935i −0.0283889 + 0.00340765i
\(69\) 50212.9 35928.4i 1.26967 0.908479i
\(70\) 48400.9 54558.1i 1.18061 1.33080i
\(71\) 25694.1 0.604905 0.302453 0.953164i \(-0.402195\pi\)
0.302453 + 0.953164i \(0.402195\pi\)
\(72\) −40319.8 17585.0i −0.916615 0.399770i
\(73\) 65431.6 1.43708 0.718540 0.695486i \(-0.244811\pi\)
0.718540 + 0.695486i \(0.244811\pi\)
\(74\) 41511.2 46792.0i 0.881223 0.993326i
\(75\) −7171.62 3255.53i −0.147219 0.0668295i
\(76\) −37283.7 + 4475.34i −0.740432 + 0.0888776i
\(77\) −68778.2 + 39709.1i −1.32198 + 0.763244i
\(78\) −7416.35 + 70643.7i −0.138024 + 1.31473i
\(79\) 41126.9 + 23744.6i 0.741409 + 0.428053i 0.822581 0.568647i \(-0.192533\pi\)
−0.0811725 + 0.996700i \(0.525866\pi\)
\(80\) 44613.1 42617.5i 0.779359 0.744498i
\(81\) 54617.8 22442.9i 0.924957 0.380072i
\(82\) 10447.9 50999.1i 0.171590 0.837583i
\(83\) 6605.97 11441.9i 0.105255 0.182306i −0.808588 0.588376i \(-0.799768\pi\)
0.913842 + 0.406069i \(0.133101\pi\)
\(84\) −101762. 32223.5i −1.57357 0.498282i
\(85\) 1026.39 + 1777.77i 0.0154087 + 0.0266887i
\(86\) 6577.60 2190.93i 0.0959005 0.0319435i
\(87\) −2848.84 + 6275.74i −0.0403525 + 0.0888928i
\(88\) −60756.1 + 28676.6i −0.836340 + 0.394749i
\(89\) 85682.2i 1.14661i −0.819342 0.573305i \(-0.805661\pi\)
0.819342 0.573305i \(-0.194339\pi\)
\(90\) −590.590 + 82820.5i −0.00768563 + 1.07778i
\(91\) 172368.i 2.18199i
\(92\) 101430. 76003.0i 1.24939 0.936183i
\(93\) −14467.9 20220.0i −0.173459 0.242423i
\(94\) 4371.44 + 13123.9i 0.0510275 + 0.153195i
\(95\) 35352.0 + 61231.4i 0.401887 + 0.696089i
\(96\) −83542.4 34269.4i −0.925186 0.379515i
\(97\) −27944.9 + 48402.0i −0.301560 + 0.522317i −0.976490 0.215565i \(-0.930841\pi\)
0.674929 + 0.737882i \(0.264174\pi\)
\(98\) −160612. 32903.6i −1.68933 0.346082i
\(99\) 29110.3 85360.0i 0.298510 0.875319i
\(100\) −14865.3 6357.56i −0.148653 0.0635756i
\(101\) 79337.0 + 45805.2i 0.773878 + 0.446799i 0.834256 0.551377i \(-0.185897\pi\)
−0.0603784 + 0.998176i \(0.519231\pi\)
\(102\) 1765.64 2430.81i 0.0168035 0.0231340i
\(103\) 91488.4 52820.9i 0.849715 0.490583i −0.0108398 0.999941i \(-0.503450\pi\)
0.860555 + 0.509358i \(0.170117\pi\)
\(104\) −12031.2 + 145317.i −0.109076 + 1.31745i
\(105\) 19558.2 + 200026.i 0.173123 + 1.77057i
\(106\) 85531.8 + 75879.0i 0.739372 + 0.655929i
\(107\) 3806.62 0.0321426 0.0160713 0.999871i \(-0.494884\pi\)
0.0160713 + 0.999871i \(0.494884\pi\)
\(108\) 111079. 48525.4i 0.916374 0.400322i
\(109\) −85149.1 −0.686458 −0.343229 0.939252i \(-0.611521\pi\)
−0.343229 + 0.939252i \(0.611521\pi\)
\(110\) 94627.3 + 83948.0i 0.745649 + 0.661498i
\(111\) 16774.2 + 171553.i 0.129221 + 1.32157i
\(112\) −210301. 61538.3i −1.58415 0.463554i
\(113\) −36754.5 + 21220.2i −0.270778 + 0.156334i −0.629241 0.777210i \(-0.716634\pi\)
0.358463 + 0.933544i \(0.383301\pi\)
\(114\) 60813.6 83723.9i 0.438266 0.603375i
\(115\) −206672. 119322.i −1.45726 0.841350i
\(116\) −5563.37 + 13008.3i −0.0383877 + 0.0897588i
\(117\) −128853. 147348.i −0.870221 0.995130i
\(118\) 18893.8 + 3870.65i 0.124915 + 0.0255905i
\(119\) 3645.26 6313.77i 0.0235972 0.0408716i
\(120\) 2527.04 + 170000.i 0.0160198 + 1.07769i
\(121\) 11652.7 + 20183.1i 0.0723543 + 0.125321i
\(122\) −71220.7 213819.i −0.433218 1.30061i
\(123\) 83477.4 + 116667.i 0.497515 + 0.695318i
\(124\) −30605.3 40844.5i −0.178749 0.238550i
\(125\) 157844.i 0.903553i
\(126\) 255780. 145253.i 1.43529 0.815076i
\(127\) 37078.8i 0.203994i −0.994785 0.101997i \(-0.967477\pi\)
0.994785 0.101997i \(-0.0325232\pi\)
\(128\) −173002. 66559.6i −0.933309 0.359075i
\(129\) −7896.97 + 17396.3i −0.0417817 + 0.0920412i
\(130\) 260478. 86762.5i 1.35180 0.450271i
\(131\) −83730.6 145026.i −0.426291 0.738357i 0.570249 0.821472i \(-0.306847\pi\)
−0.996540 + 0.0831144i \(0.973513\pi\)
\(132\) 55889.5 176499.i 0.279187 0.881672i
\(133\) 125553. 217464.i 0.615457 1.06600i
\(134\) 7981.28 38959.0i 0.0383982 0.187433i
\(135\) −166248. 156370.i −0.785093 0.738449i
\(136\) 3513.88 5068.47i 0.0162907 0.0234979i
\(137\) 298026. + 172065.i 1.35660 + 0.783234i 0.989164 0.146814i \(-0.0469018\pi\)
0.367438 + 0.930048i \(0.380235\pi\)
\(138\) −36466.9 + 347361.i −0.163005 + 1.55269i
\(139\) 239133. 138064.i 1.04979 0.606097i 0.127200 0.991877i \(-0.459401\pi\)
0.922591 + 0.385780i \(0.126068\pi\)
\(140\) 49170.0 + 409631.i 0.212021 + 1.76633i
\(141\) −34709.9 15756.4i −0.147030 0.0667435i
\(142\) −96457.7 + 108728.i −0.401436 + 0.452504i
\(143\) −298961. −1.22257
\(144\) 225777. 104604.i 0.907348 0.420379i
\(145\) 26638.8 0.105219
\(146\) −245636. + 276884.i −0.953695 + 1.07502i
\(147\) 367420. 262897.i 1.40239 1.00344i
\(148\) 42170.8 + 351322.i 0.158255 + 1.31841i
\(149\) 33899.5 19571.9i 0.125091 0.0722216i −0.436149 0.899875i \(-0.643658\pi\)
0.561240 + 0.827653i \(0.310324\pi\)
\(150\) 40699.1 18126.3i 0.147692 0.0657780i
\(151\) −372275. 214933.i −1.32868 0.767115i −0.343587 0.939121i \(-0.611642\pi\)
−0.985096 + 0.172006i \(0.944975\pi\)
\(152\) 121028. 174572.i 0.424890 0.612868i
\(153\) 1603.70 + 8122.29i 0.00553853 + 0.0280511i
\(154\) 90163.9 440117.i 0.306359 1.49543i
\(155\) −48049.4 + 83224.0i −0.160642 + 0.278240i
\(156\) −271098. 296586.i −0.891897 0.975750i
\(157\) −283488. 491016.i −0.917881 1.58982i −0.802628 0.596479i \(-0.796566\pi\)
−0.115252 0.993336i \(-0.536768\pi\)
\(158\) −254872. + 84895.3i −0.812232 + 0.270546i
\(159\) −313585. + 30661.8i −0.983699 + 0.0961844i
\(160\) 12861.2 + 348777.i 0.0397176 + 1.07708i
\(161\) 847550.i 2.57692i
\(162\) −110069. + 315376.i −0.329518 + 0.944149i
\(163\) 50545.5i 0.149009i 0.997221 + 0.0745047i \(0.0237376\pi\)
−0.997221 + 0.0745047i \(0.976262\pi\)
\(164\) 176588. + 235666.i 0.512687 + 0.684208i
\(165\) −346931. + 33922.4i −0.992050 + 0.0970010i
\(166\) 23618.7 + 70907.9i 0.0665250 + 0.199721i
\(167\) 155078. + 268602.i 0.430287 + 0.745279i 0.996898 0.0787068i \(-0.0250791\pi\)
−0.566611 + 0.823985i \(0.691746\pi\)
\(168\) 518381. 309651.i 1.41702 0.846445i
\(169\) −138783. + 240380.i −0.373784 + 0.647413i
\(170\) −11376.1 2330.54i −0.0301905 0.00618493i
\(171\) 55236.0 + 279755.i 0.144455 + 0.731623i
\(172\) −15421.6 + 36059.0i −0.0397474 + 0.0929379i
\(173\) −140517. 81127.6i −0.356955 0.206088i 0.310789 0.950479i \(-0.399407\pi\)
−0.667744 + 0.744391i \(0.732740\pi\)
\(174\) −15861.9 35615.0i −0.0397176 0.0891783i
\(175\) 93629.4 54056.9i 0.231109 0.133431i
\(176\) 106734. 364753.i 0.259729 0.887599i
\(177\) −43221.8 + 30926.1i −0.103698 + 0.0741980i
\(178\) 362577. + 321658.i 0.857729 + 0.760929i
\(179\) 313216. 0.730653 0.365326 0.930880i \(-0.380957\pi\)
0.365326 + 0.930880i \(0.380957\pi\)
\(180\) −348250. 313414.i −0.801144 0.721004i
\(181\) 241414. 0.547729 0.273865 0.961768i \(-0.411698\pi\)
0.273865 + 0.961768i \(0.411698\pi\)
\(182\) −729402. 647084.i −1.63226 1.44805i
\(183\) 565503. + 256708.i 1.24827 + 0.566645i
\(184\) −59158.7 + 714538.i −0.128817 + 1.55590i
\(185\) 576979. 333119.i 1.23945 0.715599i
\(186\) 139878. + 14684.7i 0.296460 + 0.0311231i
\(187\) 10950.8 + 6322.45i 0.0229003 + 0.0132215i
\(188\) −71946.6 30769.9i −0.148462 0.0634938i
\(189\) −185734. + 789004.i −0.378213 + 1.60666i
\(190\) −391824. 80270.5i −0.787421 0.161314i
\(191\) 378078. 654851.i 0.749891 1.29885i −0.197983 0.980205i \(-0.563439\pi\)
0.947874 0.318644i \(-0.103227\pi\)
\(192\) 458641. 224872.i 0.897884 0.440233i
\(193\) −210750. 365029.i −0.407262 0.705398i 0.587320 0.809355i \(-0.300183\pi\)
−0.994582 + 0.103957i \(0.966850\pi\)
\(194\) −99913.0 299958.i −0.190598 0.572212i
\(195\) −312726. + 688907.i −0.588950 + 1.29740i
\(196\) 742188. 556132.i 1.37998 1.03404i
\(197\) 796004.i 1.46133i −0.682734 0.730667i \(-0.739209\pi\)
0.682734 0.730667i \(-0.260791\pi\)
\(198\) 251931. + 443633.i 0.456687 + 0.804194i
\(199\) 1.10972e6i 1.98646i 0.116163 + 0.993230i \(0.462940\pi\)
−0.116163 + 0.993230i \(0.537060\pi\)
\(200\) 82708.6 39038.1i 0.146210 0.0690103i
\(201\) 63769.6 + 89123.3i 0.111333 + 0.155597i
\(202\) −491669. + 163770.i −0.847803 + 0.282394i
\(203\) −47304.1 81933.1i −0.0805673 0.139547i
\(204\) 3657.98 + 16597.0i 0.00615412 + 0.0279225i
\(205\) 277238. 480190.i 0.460753 0.798047i
\(206\) −119936. + 585441.i −0.196916 + 0.961203i
\(207\) −633582. 724524.i −1.02772 1.17524i
\(208\) −569765. 596445.i −0.913141 0.955899i
\(209\) 377177. + 217763.i 0.597282 + 0.344841i
\(210\) −919863. 668150.i −1.43938 1.04550i
\(211\) −179473. + 103619.i −0.277520 + 0.160226i −0.632300 0.774724i \(-0.717889\pi\)
0.354780 + 0.934950i \(0.384556\pi\)
\(212\) −642187. + 77084.7i −0.981345 + 0.117796i
\(213\) −38977.4 398630.i −0.0588659 0.602034i
\(214\) −14290.4 + 16108.3i −0.0213309 + 0.0240445i
\(215\) 73842.6 0.108946
\(216\) −211657. + 652216.i −0.308673 + 0.951168i
\(217\) 341296. 0.492020
\(218\) 319657. 360321.i 0.455557 0.513510i
\(219\) −99258.4 1.01514e6i −0.139848 1.43026i
\(220\) −710477. + 85282.0i −0.989677 + 0.118796i
\(221\) 23767.5 13722.1i 0.0327342 0.0188991i
\(222\) −788924. 573042.i −1.07437 0.780376i
\(223\) 557586. + 321922.i 0.750844 + 0.433500i 0.825999 0.563672i \(-0.190612\pi\)
−0.0751547 + 0.997172i \(0.523945\pi\)
\(224\) 1.04990e6 658901.i 1.39806 0.877404i
\(225\) −39628.6 + 116203.i −0.0521858 + 0.153024i
\(226\) 48182.8 235194.i 0.0627511 0.306306i
\(227\) −596328. + 1.03287e6i −0.768105 + 1.33040i 0.170485 + 0.985360i \(0.445467\pi\)
−0.938589 + 0.345036i \(0.887867\pi\)
\(228\) 125991. + 571648.i 0.160510 + 0.728269i
\(229\) 538232. + 932245.i 0.678236 + 1.17474i 0.975512 + 0.219947i \(0.0705886\pi\)
−0.297276 + 0.954792i \(0.596078\pi\)
\(230\) 1.28079e6 426619.i 1.59647 0.531766i
\(231\) 720401. + 1.00682e6i 0.888269 + 1.24143i
\(232\) −34161.4 72376.6i −0.0416693 0.0882833i
\(233\) 178167.i 0.214999i 0.994205 + 0.107500i \(0.0342845\pi\)
−0.994205 + 0.107500i \(0.965716\pi\)
\(234\) 1.10725e6 + 7895.75i 1.32192 + 0.00942657i
\(235\) 147334.i 0.174034i
\(236\) −87308.1 + 65421.2i −0.102041 + 0.0764607i
\(237\) 305996. 674081.i 0.353871 0.779546i
\(238\) 13033.1 + 39127.9i 0.0149144 + 0.0447758i
\(239\) −336873. 583482.i −0.381480 0.660743i 0.609794 0.792560i \(-0.291252\pi\)
−0.991274 + 0.131817i \(0.957919\pi\)
\(240\) −728866. 627499.i −0.816807 0.703210i
\(241\) −162984. + 282297.i −0.180760 + 0.313086i −0.942140 0.335221i \(-0.891189\pi\)
0.761379 + 0.648307i \(0.224522\pi\)
\(242\) −129153. 26458.8i −0.141764 0.0290424i
\(243\) −431043. 813321.i −0.468279 0.883580i
\(244\) 1.17217e6 + 501311.i 1.26043 + 0.539055i
\(245\) −1.51227e6 873110.i −1.60959 0.929296i
\(246\) −807073. 84728.5i −0.850306 0.0892672i
\(247\) 818619. 472630.i 0.853767 0.492922i
\(248\) 287734. + 23822.4i 0.297073 + 0.0245955i
\(249\) −187536. 85131.0i −0.191684 0.0870141i
\(250\) 667942. + 592560.i 0.675910 + 0.599629i
\(251\) 1.32110e6 1.32358 0.661789 0.749690i \(-0.269797\pi\)
0.661789 + 0.749690i \(0.269797\pi\)
\(252\) −345561. + 1.62766e6i −0.342786 + 1.61459i
\(253\) −1.47002e6 −1.44385
\(254\) 156905. + 139197.i 0.152599 + 0.135377i
\(255\) 26024.1 18620.8i 0.0250626 0.0179328i
\(256\) 931119. 482212.i 0.887984 0.459873i
\(257\) −1.15605e6 + 667444.i −1.09180 + 0.630350i −0.934055 0.357130i \(-0.883755\pi\)
−0.157744 + 0.987480i \(0.550422\pi\)
\(258\) −43969.2 98724.3i −0.0411243 0.0923368i
\(259\) −2.04915e6 1.18308e6i −1.89812 1.09588i
\(260\) −610708. + 1.42797e6i −0.560273 + 1.31004i
\(261\) 101686. + 34678.2i 0.0923978 + 0.0315105i
\(262\) 928030. + 190120.i 0.835235 + 0.171109i
\(263\) 457251. 791982.i 0.407629 0.706035i −0.586994 0.809591i \(-0.699689\pi\)
0.994624 + 0.103556i \(0.0330222\pi\)
\(264\) 537068. + 899096.i 0.474263 + 0.793956i
\(265\) 608914. + 1.05467e6i 0.532649 + 0.922575i
\(266\) 448896. + 1.34767e6i 0.388993 + 1.16783i
\(267\) −1.32931e6 + 129978.i −1.14117 + 0.111581i
\(268\) 134898. + 180029.i 0.114728 + 0.153111i
\(269\) 1.86227e6i 1.56914i 0.620038 + 0.784572i \(0.287117\pi\)
−0.620038 + 0.784572i \(0.712883\pi\)
\(270\) 1.28581e6 116474.i 1.07342 0.0972346i
\(271\) 517756.i 0.428254i −0.976806 0.214127i \(-0.931309\pi\)
0.976806 0.214127i \(-0.0686907\pi\)
\(272\) 8256.59 + 33897.0i 0.00676672 + 0.0277804i
\(273\) 2.67420e6 261479.i 2.17164 0.212339i
\(274\) −1.84693e6 + 615194.i −1.48619 + 0.495035i
\(275\) 93758.1 + 162394.i 0.0747613 + 0.129490i
\(276\) −1.33301e6 1.45834e6i −1.05332 1.15235i
\(277\) −311881. + 540194.i −0.244225 + 0.423010i −0.961913 0.273354i \(-0.911867\pi\)
0.717689 + 0.696364i \(0.245200\pi\)
\(278\) −313489. + 1.53023e6i −0.243282 + 1.18753i
\(279\) −291755. + 255134.i −0.224393 + 0.196227i
\(280\) −1.91800e6 1.32972e6i −1.46202 1.01360i
\(281\) −1.53273e6 884922.i −1.15798 0.668558i −0.207159 0.978307i \(-0.566422\pi\)
−0.950818 + 0.309749i \(0.899755\pi\)
\(282\) 196979. 87729.2i 0.147502 0.0656934i
\(283\) 1.28654e6 742782.i 0.954895 0.551309i 0.0602971 0.998180i \(-0.480795\pi\)
0.894598 + 0.446871i \(0.147462\pi\)
\(284\) −97990.5 816351.i −0.0720921 0.600594i
\(285\) 896344. 641353.i 0.653676 0.467719i
\(286\) 1.12232e6 1.26510e6i 0.811340 0.914553i
\(287\) −1.96923e6 −1.41121
\(288\) −404940. + 1.34810e6i −0.287680 + 0.957727i
\(289\) 1.41870e6 0.999182
\(290\) −100004. + 112726.i −0.0698271 + 0.0787100i
\(291\) 793324. + 360126.i 0.549184 + 0.249300i
\(292\) −249539. 2.07889e6i −0.171270 1.42684i
\(293\) 1.40797e6 812891.i 0.958129 0.553176i 0.0625325 0.998043i \(-0.480082\pi\)
0.895597 + 0.444867i \(0.146749\pi\)
\(294\) −266837. + 2.54173e6i −0.180044 + 1.71499i
\(295\) 177898. + 102709.i 0.119019 + 0.0687154i
\(296\) −1.64498e6 1.14044e6i −1.09127 0.756559i
\(297\) −1.36847e6 322142.i −0.900214 0.211912i
\(298\) −44440.1 + 216925.i −0.0289891 + 0.141504i
\(299\) −1.59525e6 + 2.76306e6i −1.03193 + 1.78736i
\(300\) −76083.7 + 240272.i −0.0488077 + 0.154135i
\(301\) −131127. 227118.i −0.0834208 0.144489i
\(302\) 2.30707e6 768461.i 1.45561 0.484847i
\(303\) 590292. 1.30036e6i 0.369369 0.813685i
\(304\) 284380. + 1.16751e6i 0.176488 + 0.724562i
\(305\) 2.40041e6i 1.47753i
\(306\) −40391.1 23705.4i −0.0246594 0.0144725i
\(307\) 29930.7i 0.0181247i −0.999959 0.00906235i \(-0.997115\pi\)
0.999959 0.00906235i \(-0.00288467\pi\)
\(308\) 1.52394e6 + 2.03378e6i 0.915357 + 1.22159i
\(309\) −958274. 1.33927e6i −0.570944 0.797941i
\(310\) −171794. 515758.i −0.101532 0.304819i
\(311\) −828429. 1.43488e6i −0.485685 0.841231i 0.514180 0.857682i \(-0.328096\pi\)
−0.999865 + 0.0164516i \(0.994763\pi\)
\(312\) 2.27277e6 33784.6i 1.32181 0.0196486i
\(313\) −1.49316e6 + 2.58623e6i −0.861482 + 1.49213i 0.00901652 + 0.999959i \(0.497130\pi\)
−0.870498 + 0.492171i \(0.836203\pi\)
\(314\) 3.14205e6 + 643692.i 1.79841 + 0.368429i
\(315\) 3.07363e6 606870.i 1.74532 0.344603i
\(316\) 597565. 1.39724e6i 0.336641 0.787140i
\(317\) 748156. + 431948.i 0.418162 + 0.241426i 0.694290 0.719695i \(-0.255718\pi\)
−0.276129 + 0.961121i \(0.589052\pi\)
\(318\) 1.04747e6 1.44209e6i 0.580865 0.799694i
\(319\) 142107. 82045.8i 0.0781880 0.0451419i
\(320\) −1.52418e6 1.25491e6i −0.832075 0.685076i
\(321\) −5774.57 59057.7i −0.00312793 0.0319900i
\(322\) −3.58653e6 3.18177e6i −1.92768 1.71013i
\(323\) −39980.9 −0.0213229
\(324\) −921351. 1.64972e6i −0.487599 0.873068i
\(325\) 406982. 0.213731
\(326\) −213891. 189752.i −0.111468 0.0988877i
\(327\) 129169. + 1.32104e6i 0.0668021 + 0.683199i
\(328\) −1.66018e6 137452.i −0.852063 0.0705449i
\(329\) 453156. 261630.i 0.230812 0.133259i
\(330\) 1.15886e6 1.59544e6i 0.585796 0.806484i
\(331\) −1828.81 1055.86i −0.000917484 0.000529710i 0.499541 0.866290i \(-0.333502\pi\)
−0.500459 + 0.865760i \(0.666835\pi\)
\(332\) −388724. 166248.i −0.193551 0.0827773i
\(333\) 2.63611e6 520484.i 1.30272 0.257216i
\(334\) −1.71881e6 352121.i −0.843064 0.172713i
\(335\) 211786. 366824.i 0.103106 0.178586i
\(336\) −635711. + 3.35606e6i −0.307193 + 1.62174i
\(337\) −1.24422e6 2.15505e6i −0.596790 1.03367i −0.993292 0.115637i \(-0.963109\pi\)
0.396501 0.918034i \(-0.370224\pi\)
\(338\) −496200. 1.48969e6i −0.236246 0.709257i
\(339\) 384976. + 538036.i 0.181943 + 0.254280i
\(340\) 52568.7 39390.5i 0.0246621 0.0184797i
\(341\) 591955.i 0.275679i
\(342\) −1.39118e6 816483.i −0.643161 0.377469i
\(343\) 2.60530e6i 1.19570i
\(344\) −94695.2 200627.i −0.0431451 0.0914100i
\(345\) −1.53770e6 + 3.38742e6i −0.695545 + 1.53222i
\(346\) 870816. 290060.i 0.391054 0.130256i
\(347\) 1.65555e6 + 2.86750e6i 0.738106 + 1.27844i 0.953347 + 0.301877i \(0.0976131\pi\)
−0.215241 + 0.976561i \(0.569054\pi\)
\(348\) 210257. + 66579.3i 0.0930685 + 0.0294707i
\(349\) −131505. + 227773.i −0.0577934 + 0.100101i −0.893475 0.449114i \(-0.851740\pi\)
0.835681 + 0.549215i \(0.185073\pi\)
\(350\) −122742. + 599141.i −0.0535580 + 0.261432i
\(351\) −2.09056e6 + 2.22261e6i −0.905721 + 0.962931i
\(352\) 1.14282e6 + 1.82097e6i 0.491610 + 0.783333i
\(353\) 127875. + 73828.9i 0.0546198 + 0.0315347i 0.527061 0.849827i \(-0.323294\pi\)
−0.472441 + 0.881362i \(0.656627\pi\)
\(354\) 31389.6 298999.i 0.0133131 0.126812i
\(355\) −1.34070e6 + 774054.i −0.564626 + 0.325987i
\(356\) −2.72229e6 + 326769.i −1.13844 + 0.136652i
\(357\) −103485. 46976.4i −0.0429739 0.0195078i
\(358\) −1.17584e6 + 1.32542e6i −0.484886 + 0.546570i
\(359\) 1.46738e6 0.600905 0.300453 0.953797i \(-0.402862\pi\)
0.300453 + 0.953797i \(0.402862\pi\)
\(360\) 2.63362e6 297091.i 1.07102 0.120819i
\(361\) 1.09904e6 0.443861
\(362\) −906288. + 1.02158e6i −0.363492 + 0.409733i
\(363\) 295454. 211403.i 0.117685 0.0842064i
\(364\) 5.47647e6 657366.i 2.16644 0.260048i
\(365\) −3.41418e6 + 1.97118e6i −1.34139 + 0.774450i
\(366\) −3.20924e6 + 1.42931e6i −1.25228 + 0.557730i
\(367\) 1.76458e6 + 1.01878e6i 0.683874 + 0.394835i 0.801313 0.598245i \(-0.204135\pi\)
−0.117439 + 0.993080i \(0.537468\pi\)
\(368\) −2.80159e6 2.93277e6i −1.07841 1.12891i
\(369\) 1.68339e6 1.47209e6i 0.643602 0.562818i
\(370\) −756383. + 3.69213e6i −0.287235 + 1.40208i
\(371\) 2.16257e6 3.74567e6i 0.815708 1.41285i
\(372\) −587252. + 536786.i −0.220023 + 0.201115i
\(373\) 629011. + 1.08948e6i 0.234092 + 0.405459i 0.959008 0.283378i \(-0.0914551\pi\)
−0.724917 + 0.688837i \(0.758122\pi\)
\(374\) −67864.6 + 22605.0i −0.0250879 + 0.00835652i
\(375\) −2.44887e6 + 239446.i −0.899265 + 0.0879286i
\(376\) 400301. 188940.i 0.146021 0.0689215i
\(377\) 356142.i 0.129053i
\(378\) −2.64153e6 3.74795e6i −0.950881 1.34916i
\(379\) 3.51959e6i 1.25862i −0.777154 0.629310i \(-0.783338\pi\)
0.777154 0.629310i \(-0.216662\pi\)
\(380\) 1.81062e6 1.35672e6i 0.643232 0.481982i
\(381\) −575258. + 56247.8i −0.203026 + 0.0198515i
\(382\) 1.35176e6 + 4.05826e6i 0.473960 + 1.42292i
\(383\) 1.45304e6 + 2.51675e6i 0.506153 + 0.876683i 0.999975 + 0.00711941i \(0.00226620\pi\)
−0.493822 + 0.869563i \(0.664400\pi\)
\(384\) −770197. + 2.78500e6i −0.266547 + 0.963822i
\(385\) 2.39253e6 4.14399e6i 0.822633 1.42484i
\(386\) 2.33585e6 + 478530.i 0.797951 + 0.163471i
\(387\) 281874. + 96127.5i 0.0956703 + 0.0326265i
\(388\) 1.64440e6 + 703272.i 0.554534 + 0.237161i
\(389\) 3.99038e6 + 2.30384e6i 1.33703 + 0.771932i 0.986365 0.164570i \(-0.0526238\pi\)
0.350660 + 0.936503i \(0.385957\pi\)
\(390\) −1.74121e6 3.90956e6i −0.579683 1.30157i
\(391\) 116867. 67473.0i 0.0386589 0.0223197i
\(392\) −432879. + 5.22845e6i −0.142282 + 1.71853i
\(393\) −2.12298e6 + 1.51904e6i −0.693369 + 0.496120i
\(394\) 3.36841e6 + 2.98826e6i 1.09316 + 0.969791i
\(395\) −2.86130e6 −0.922720
\(396\) −2.82307e6 599351.i −0.904656 0.192063i
\(397\) −1.37551e6 −0.438012 −0.219006 0.975723i \(-0.570281\pi\)
−0.219006 + 0.975723i \(0.570281\pi\)
\(398\) −4.69594e6 4.16597e6i −1.48599 1.31828i
\(399\) −3.56430e6 1.61800e6i −1.12084 0.508799i
\(400\) −145299. + 496546.i −0.0454060 + 0.155171i
\(401\) 93720.9 54109.8i 0.0291055 0.0168041i −0.485377 0.874305i \(-0.661318\pi\)
0.514482 + 0.857501i \(0.327984\pi\)
\(402\) −616535. 64725.4i −0.190280 0.0199760i
\(403\) 1.11264e6 + 642385.i 0.341266 + 0.197030i
\(404\) 1.15275e6 2.69538e6i 0.351384 0.821611i
\(405\) −2.17381e6 + 2.81645e6i −0.658543 + 0.853228i
\(406\) 524296. + 107409.i 0.157856 + 0.0323390i
\(407\) 2.05197e6 3.55411e6i 0.614022 1.06352i
\(408\) −83965.1 46827.2i −0.0249717 0.0139267i
\(409\) −903457. 1.56483e6i −0.267054 0.462551i 0.701046 0.713116i \(-0.252717\pi\)
−0.968100 + 0.250565i \(0.919384\pi\)
\(410\) 991223. + 2.97585e6i 0.291214 + 0.874281i
\(411\) 2.21740e6 4.88473e6i 0.647500 1.42638i
\(412\) −2.02713e6 2.70532e6i −0.588355 0.785191i
\(413\) 729546.i 0.210464i
\(414\) 5.44445e6 + 38824.1i 1.56118 + 0.0111327i
\(415\) 796039.i 0.226889i
\(416\) 4.66289e6 171945.i 1.32106 0.0487144i
\(417\) −2.50474e6 3.50059e6i −0.705380 0.985827i
\(418\) −2.33745e6 + 778580.i −0.654337 + 0.217953i
\(419\) −926212. 1.60425e6i −0.257736 0.446412i 0.707899 0.706314i \(-0.249643\pi\)
−0.965635 + 0.259902i \(0.916310\pi\)
\(420\) 6.28062e6 1.38425e6i 1.73732 0.382905i
\(421\) 1.85582e6 3.21437e6i 0.510305 0.883874i −0.489624 0.871934i \(-0.662866\pi\)
0.999929 0.0119403i \(-0.00380082\pi\)
\(422\) 235278. 1.14846e6i 0.0643133 0.313932i
\(423\) −191798. + 562407.i −0.0521186 + 0.152827i
\(424\) 2.08463e6 3.00689e6i 0.563137 0.812276i
\(425\) −14907.6 8606.90i −0.00400346 0.00231140i
\(426\) 1.83319e6 + 1.33155e6i 0.489421 + 0.355495i
\(427\) −7.38295e6 + 4.26255e6i −1.95957 + 1.13136i
\(428\) −14517.5 120944.i −0.00383073 0.0319135i
\(429\) 453517. + 4.63822e6i 0.118974 + 1.21677i
\(430\) −277211. + 312476.i −0.0723002 + 0.0814978i
\(431\) 277886. 0.0720565 0.0360283 0.999351i \(-0.488529\pi\)
0.0360283 + 0.999351i \(0.488529\pi\)
\(432\) −1.96537e6 3.34413e6i −0.506682 0.862133i
\(433\) −2.49224e6 −0.638807 −0.319403 0.947619i \(-0.603482\pi\)
−0.319403 + 0.947619i \(0.603482\pi\)
\(434\) −1.28125e6 + 1.44425e6i −0.326521 + 0.368059i
\(435\) −40410.6 413287.i −0.0102393 0.104720i
\(436\) 324736. + 2.70535e6i 0.0818115 + 0.681565i
\(437\) 4.02522e6 2.32396e6i 1.00829 0.582138i
\(438\) 4.66833e6 + 3.39088e6i 1.16272 + 0.844554i
\(439\) 1.04465e6 + 603126.i 0.258707 + 0.149364i 0.623744 0.781628i \(-0.285611\pi\)
−0.365038 + 0.930993i \(0.618944\pi\)
\(440\) 2.30631e6 3.32665e6i 0.567918 0.819172i
\(441\) −4.63607e6 5.30152e6i −1.13515 1.29809i
\(442\) −31157.6 + 152090.i −0.00758593 + 0.0370292i
\(443\) −1.30812e6 + 2.26572e6i −0.316692 + 0.548526i −0.979796 0.200001i \(-0.935905\pi\)
0.663104 + 0.748527i \(0.269239\pi\)
\(444\) 5.38660e6 1.18721e6i 1.29675 0.285804i
\(445\) 2.58124e6 + 4.47084e6i 0.617914 + 1.07026i
\(446\) −3.45549e6 + 1.15099e6i −0.822569 + 0.273989i
\(447\) −355072. 496243.i −0.0840520 0.117470i
\(448\) −1.15316e6 + 6.91636e6i −0.271452 + 1.62810i
\(449\) 348912.i 0.0816770i −0.999166 0.0408385i \(-0.986997\pi\)
0.999166 0.0408385i \(-0.0130029\pi\)
\(450\) −342959. 603928.i −0.0798383 0.140590i
\(451\) 3.41549e6i 0.790701i
\(452\) 814379. + 1.08683e6i 0.187491 + 0.250217i
\(453\) −2.76984e6 + 6.10170e6i −0.634175 + 1.39703i
\(454\) −2.13208e6 6.40093e6i −0.485472 1.45748i
\(455\) −5.19272e6 8.99405e6i −1.17589 2.03670i
\(456\) −2.89200e6 1.61286e6i −0.651307 0.363233i
\(457\) 1.71163e6 2.96463e6i 0.383371 0.664018i −0.608171 0.793806i \(-0.708096\pi\)
0.991542 + 0.129788i \(0.0414297\pi\)
\(458\) −5.96550e6 1.22211e6i −1.32887 0.272238i
\(459\) 123580. 37201.9i 0.0273790 0.00824201i
\(460\) −3.00291e6 + 7.02144e6i −0.661679 + 1.54715i
\(461\) 4.70141e6 + 2.71436e6i 1.03033 + 0.594861i 0.917079 0.398705i \(-0.130540\pi\)
0.113251 + 0.993566i \(0.463874\pi\)
\(462\) −6.96495e6 731198.i −1.51815 0.159379i
\(463\) 3.74259e6 2.16079e6i 0.811373 0.468446i −0.0360597 0.999350i \(-0.511481\pi\)
0.847432 + 0.530903i \(0.178147\pi\)
\(464\) 434517. + 127148.i 0.0936941 + 0.0274168i
\(465\) 1.36407e6 + 619212.i 0.292552 + 0.132803i
\(466\) −753940. 668853.i −0.160832 0.142681i
\(467\) 3.41339e6 0.724258 0.362129 0.932128i \(-0.382050\pi\)
0.362129 + 0.932128i \(0.382050\pi\)
\(468\) −4.19012e6 + 4.65585e6i −0.884325 + 0.982618i
\(469\) −1.50432e6 −0.315798
\(470\) −623466. 553104.i −0.130187 0.115495i
\(471\) −7.18781e6 + 5.14303e6i −1.49295 + 1.06824i
\(472\) 50922.1 615054.i 0.0105209 0.127074i
\(473\) 393921. 227430.i 0.0809572 0.0467407i
\(474\) 1.70374e6 + 3.82543e6i 0.348304 + 0.782049i
\(475\) −513459. 296446.i −0.104417 0.0602853i
\(476\) −214503. 91737.8i −0.0433926 0.0185580i
\(477\) 951403. + 4.81859e6i 0.191456 + 0.969670i
\(478\) 3.73374e6 + 764908.i 0.747437 + 0.153123i
\(479\) −1.30808e6 + 2.26567e6i −0.260493 + 0.451188i −0.966373 0.257144i \(-0.917219\pi\)
0.705880 + 0.708332i \(0.250552\pi\)
\(480\) 5.39158e6 728622.i 1.06810 0.144344i
\(481\) −4.45356e6 7.71378e6i −0.877696 1.52021i
\(482\) −582726. 1.74946e6i −0.114247 0.342994i
\(483\) 1.31493e7 1.28571e6i 2.56469 0.250771i
\(484\) 596816. 447203.i 0.115805 0.0867743i
\(485\) 3.36745e6i 0.650050i
\(486\) 5.05986e6 + 1.22925e6i 0.971735 + 0.236074i
\(487\) 8.58357e6i 1.64001i −0.572359 0.820003i \(-0.693971\pi\)
0.572359 0.820003i \(-0.306029\pi\)
\(488\) −6.52181e6 + 3.07827e6i −1.23971 + 0.585136i
\(489\) 784187. 76676.5i 0.148302 0.0145007i
\(490\) 9.37189e6 3.12168e6i 1.76334 0.587351i
\(491\) 4.45187e6 + 7.71087e6i 0.833372 + 1.44344i 0.895349 + 0.445366i \(0.146926\pi\)
−0.0619764 + 0.998078i \(0.519740\pi\)
\(492\) 3.38836e6 3.09717e6i 0.631069 0.576836i
\(493\) −7531.72 + 13045.3i −0.00139565 + 0.00241734i
\(494\) −1.07316e6 + 5.23840e6i −0.197855 + 0.965787i
\(495\) 1.05257e6 + 5.33100e6i 0.193081 + 0.977902i
\(496\) −1.18099e6 + 1.12816e6i −0.215546 + 0.205905i
\(497\) 4.76152e6 + 2.74906e6i 0.864678 + 0.499222i
\(498\) 1.06427e6 473997.i 0.192299 0.0856450i
\(499\) −9.00734e6 + 5.20039e6i −1.61937 + 0.934942i −0.632284 + 0.774737i \(0.717882\pi\)
−0.987084 + 0.160205i \(0.948784\pi\)
\(500\) −5.01502e6 + 601976.i −0.897114 + 0.107685i
\(501\) 3.93197e6 2.81341e6i 0.699868 0.500771i
\(502\) −4.95950e6 + 5.59041e6i −0.878372 + 0.990113i
\(503\) 3.07909e6 0.542628 0.271314 0.962491i \(-0.412542\pi\)
0.271314 + 0.962491i \(0.412542\pi\)
\(504\) −5.59044e6 7.57267e6i −0.980323 1.32792i
\(505\) −5.51967e6 −0.963129
\(506\) 5.51857e6 6.22060e6i 0.958186 1.08008i
\(507\) 3.93990e6 + 1.78850e6i 0.680715 + 0.309007i
\(508\) −1.17807e6 + 141409.i −0.202540 + 0.0243118i
\(509\) −8.39198e6 + 4.84511e6i −1.43572 + 0.828914i −0.997549 0.0699775i \(-0.977707\pi\)
−0.438172 + 0.898891i \(0.644374\pi\)
\(510\) −18899.9 + 180029.i −0.00321761 + 0.0306490i
\(511\) 1.21255e7 + 7.00067e6i 2.05422 + 1.18601i
\(512\) −1.45494e6 + 5.75044e6i −0.245285 + 0.969451i
\(513\) 4.25645e6 1.28134e6i 0.714093 0.214966i
\(514\) 1.51550e6 7.39762e6i 0.253017 1.23505i
\(515\) −3.18254e6 + 5.51232e6i −0.528756 + 0.915832i
\(516\) 582831. + 184557.i 0.0963647 + 0.0305145i
\(517\) 453779. + 785968.i 0.0746651 + 0.129324i
\(518\) 1.26990e7 4.22992e6i 2.07944 0.692640i
\(519\) −1.04549e6 + 2.30312e6i −0.170373 + 0.375317i
\(520\) −3.75001e6 7.94500e6i −0.608168 1.28850i
\(521\) 7.69134e6i 1.24139i 0.784053 + 0.620694i \(0.213149\pi\)
−0.784053 + 0.620694i \(0.786851\pi\)
\(522\) −528485. + 300117.i −0.0848900 + 0.0482074i
\(523\) 1.02773e6i 0.164295i −0.996620 0.0821476i \(-0.973822\pi\)
0.996620 0.0821476i \(-0.0261779\pi\)
\(524\) −4.28842e6 + 3.21337e6i −0.682290 + 0.511249i
\(525\) −980699. 1.37061e6i −0.155288 0.217027i
\(526\) 1.63483e6 + 4.90809e6i 0.257638 + 0.773479i
\(527\) −27170.5 47060.6i −0.00426158 0.00738127i
\(528\) −5.82086e6 1.10260e6i −0.908662 0.172120i
\(529\) −4.62582e6 + 8.01216e6i −0.718704 + 1.24483i
\(530\) −6.74890e6 1.38261e6i −1.04362 0.213800i
\(531\) 545369. + 623649.i 0.0839371 + 0.0959851i
\(532\) −7.38808e6 3.15971e6i −1.13176 0.484025i
\(533\) −6.41979e6 3.70647e6i −0.978820 0.565122i
\(534\) 4.44033e6 6.11314e6i 0.673848 0.927708i
\(535\) −198627. + 114677.i −0.0300023 + 0.0173218i
\(536\) −1.26824e6 105001.i −0.190673 0.0157864i
\(537\) −475142. 4.85938e6i −0.0711029 0.727185i
\(538\) −7.88049e6 6.99113e6i −1.17381 1.04134i
\(539\) −1.07565e7 −1.59477
\(540\) −4.33417e6 + 5.87836e6i −0.639619 + 0.867505i
\(541\) 9.97892e6 1.46585 0.732926 0.680308i \(-0.238154\pi\)
0.732926 + 0.680308i \(0.238154\pi\)
\(542\) 2.19096e6 + 1.94370e6i 0.320359 + 0.284204i
\(543\) −366220. 3.74541e6i −0.0533019 0.545130i
\(544\) −174436. 92313.0i −0.0252720 0.0133741i
\(545\) 4.44302e6 2.56518e6i 0.640748 0.369936i
\(546\) −8.93268e6 + 1.22979e7i −1.28233 + 1.76542i
\(547\) −6.89166e6 3.97890e6i −0.984817 0.568584i −0.0810959 0.996706i \(-0.525842\pi\)
−0.903721 + 0.428122i \(0.859175\pi\)
\(548\) 4.33025e6 1.01251e7i 0.615973 1.44028i
\(549\) 3.12483e6 9.16290e6i 0.442482 1.29748i
\(550\) −1.03917e6 212888.i −0.146480 0.0300085i
\(551\) −259414. + 449318.i −0.0364011 + 0.0630485i
\(552\) 1.11754e7 166122.i 1.56105 0.0232049i
\(553\) 5.08097e6 + 8.80049e6i 0.706535 + 1.22375i
\(554\) −1.11508e6 3.34770e6i −0.154360 0.463418i
\(555\) −6.04343e6 8.44619e6i −0.832819 1.16393i
\(556\) −5.29854e6 7.07119e6i −0.726891 0.970075i
\(557\) 968143.i 0.132221i −0.997812 0.0661107i \(-0.978941\pi\)
0.997812 0.0661107i \(-0.0210590\pi\)
\(558\) 15633.9 2.19240e6i 0.00212561 0.298081i
\(559\) 987222.i 0.133624i
\(560\) 1.28272e7 3.12445e6i 1.72848 0.421021i
\(561\) 81477.3 179487.i 0.0109302 0.0240783i
\(562\) 9.49868e6 3.16391e6i 1.26859 0.422555i
\(563\) 3.58742e6 + 6.21360e6i 0.476993 + 0.826176i 0.999652 0.0263657i \(-0.00839345\pi\)
−0.522660 + 0.852541i \(0.675060\pi\)
\(564\) −368237. + 1.16289e6i −0.0487449 + 0.153936i
\(565\) 1.27855e6 2.21451e6i 0.168499 0.291848i
\(566\) −1.68657e6 + 8.23263e6i −0.221290 + 1.08018i
\(567\) 1.25227e7 + 1.68466e6i 1.63584 + 0.220066i
\(568\) 3.82238e6 + 2.64999e6i 0.497121 + 0.344646i
\(569\) −1.01785e7 5.87656e6i −1.31796 0.760926i −0.334561 0.942374i \(-0.608588\pi\)
−0.983400 + 0.181448i \(0.941922\pi\)
\(570\) −650966. + 6.20071e6i −0.0839211 + 0.799382i
\(571\) 9.11184e6 5.26072e6i 1.16954 0.675235i 0.215970 0.976400i \(-0.430709\pi\)
0.953572 + 0.301165i \(0.0973755\pi\)
\(572\) 1.14016e6 + 9.49856e6i 0.145705 + 1.21386i
\(573\) −1.07332e7 4.87229e6i −1.36566 0.619935i
\(574\) 7.39265e6 8.33309e6i 0.936527 1.05567i
\(575\) 2.00117e6 0.252414
\(576\) −4.18452e6 6.77445e6i −0.525520 0.850781i
\(577\) 1.46593e6 0.183305 0.0916526 0.995791i \(-0.470785\pi\)
0.0916526 + 0.995791i \(0.470785\pi\)
\(578\) −5.32590e6 + 6.00343e6i −0.663092 + 0.747446i
\(579\) −5.34353e6 + 3.82341e6i −0.662417 + 0.473974i
\(580\) −101593. 846367.i −0.0125400 0.104469i
\(581\) 2.44838e6 1.41357e6i 0.300911 0.173731i
\(582\) −4.50213e6 + 2.00513e6i −0.550948 + 0.245377i
\(583\) 6.49662e6 + 3.75082e6i 0.791618 + 0.457041i
\(584\) 9.73392e6 + 6.74836e6i 1.18102 + 0.818778i
\(585\) 1.11624e7 + 3.80673e6i 1.34856 + 0.459899i
\(586\) −1.84576e6 + 9.00970e6i −0.222040 + 1.08384i
\(587\) 523994. 907585.i 0.0627670 0.108716i −0.832934 0.553372i \(-0.813341\pi\)
0.895701 + 0.444656i \(0.146674\pi\)
\(588\) −9.75398e6 1.06710e7i −1.16343 1.27281i
\(589\) −935827. 1.62090e6i −0.111150 0.192517i
\(590\) −1.10247e6 + 367221.i −0.130388 + 0.0434308i
\(591\) −1.23496e7 + 1.20752e6i −1.45440 + 0.142209i
\(592\) 1.10013e7 2.67970e6i 1.29015 0.314254i
\(593\) 8.50755e6i 0.993500i −0.867894 0.496750i \(-0.834527\pi\)
0.867894 0.496750i \(-0.165473\pi\)
\(594\) 6.50056e6 4.58156e6i 0.755935 0.532779i
\(595\) 439264.i 0.0508667i
\(596\) −751120. 1.00241e6i −0.0866151 0.115593i
\(597\) 1.72167e7 1.68342e6i 1.97703 0.193311i
\(598\) −5.70358e6 1.71233e7i −0.652221 1.95810i
\(599\) −4.39728e6 7.61632e6i −0.500746 0.867317i −1.00000 0.000861327i \(-0.999726\pi\)
0.499254 0.866456i \(1.66639\pi\)
\(600\) −731123. 1.22396e6i −0.0829110 0.138800i
\(601\) −2.32237e6 + 4.02246e6i −0.262268 + 0.454261i −0.966844 0.255367i \(-0.917804\pi\)
0.704576 + 0.709628i \(0.251137\pi\)
\(602\) 1.45334e6 + 297737.i 0.163447 + 0.0334844i
\(603\) 1.28596e6 1.12455e6i 0.144024 0.125946i
\(604\) −5.40908e6 + 1.26476e7i −0.603297 + 1.41064i
\(605\) −1.21606e6 702095.i −0.135073 0.0779843i
\(606\) 3.28665e6 + 7.37956e6i 0.363557 + 0.816298i
\(607\) −1.45173e6 + 838155.i −0.159924 + 0.0923320i −0.577826 0.816160i \(-0.696099\pi\)
0.417902 + 0.908492i \(0.362765\pi\)
\(608\) −6.00807e6 3.17952e6i −0.659138 0.348821i
\(609\) −1.19939e6 + 858189.i −0.131044 + 0.0937648i
\(610\) 1.01577e7 + 9.01133e6i 1.10528 + 0.980538i
\(611\) 1.96975e6 0.213456
\(612\) 251945. 81928.9i 0.0271911 0.00884216i
\(613\) 615822. 0.0661918 0.0330959 0.999452i \(-0.489463\pi\)
0.0330959 + 0.999452i \(0.489463\pi\)
\(614\) 126656. + 112362.i 0.0135583 + 0.0120282i
\(615\) −7.87046e6 3.57276e6i −0.839097 0.380905i
\(616\) −1.43272e7 1.18619e6i −1.52128 0.125952i
\(617\) −3.65601e6 + 2.11080e6i −0.386629 + 0.223220i −0.680698 0.732564i \(-0.738324\pi\)
0.294070 + 0.955784i \(0.404990\pi\)
\(618\) 9.26475e6 + 972636.i 0.975804 + 0.102442i
\(619\) −1.47506e7 8.51629e6i −1.54733 0.893354i −0.998344 0.0575254i \(-0.981679\pi\)
−0.548991 0.835829i \(1.31501\pi\)
\(620\) 2.82744e6 + 1.20923e6i 0.295402 + 0.126337i
\(621\) −1.02795e7 + 1.09288e7i −1.06965 + 1.13721i
\(622\) 9.18191e6 + 1.88104e6i 0.951606 + 0.194950i
\(623\) 9.16731e6 1.58782e7i 0.946285 1.63901i
\(624\) −8.38920e6 + 9.74440e6i −0.862500 + 1.00183i
\(625\) 5.54462e6 + 9.60356e6i 0.567769 + 0.983405i
\(626\) −5.33858e6 1.60275e7i −0.544490 1.63467i
\(627\) 2.80631e6 6.18204e6i 0.285080 0.628005i
\(628\) −1.45194e7 + 1.08796e7i −1.46909 + 1.10081i
\(629\) 376737.i 0.0379674i
\(630\) −8.97058e6 + 1.52848e7i −0.900470 + 1.53429i
\(631\) 1.01556e7i 1.01539i 0.861538 + 0.507693i \(0.169502\pi\)
−0.861538 + 0.507693i \(0.830498\pi\)
\(632\) 3.66930e6 + 7.77402e6i 0.365419 + 0.774200i
\(633\) 1.87985e6 + 2.62725e6i 0.186472 + 0.260610i
\(634\) −4.63649e6 + 1.54437e6i −0.458107 + 0.152590i
\(635\) 1.11703e6 + 1.93475e6i 0.109933 + 0.190410i
\(636\) 2.17011e6 + 9.84625e6i 0.212735 + 0.965224i
\(637\) −1.16728e7 + 2.02180e7i −1.13980 + 1.97419i
\(638\) −186294. + 909356.i −0.0181195 + 0.0884468i
\(639\) −6.12541e6 + 1.20943e6i −0.593448 + 0.117173i
\(640\) 1.10323e7 1.73877e6i 1.06467 0.167800i
\(641\) −1.77251e7 1.02336e7i −1.70389 0.983744i −0.941735 0.336355i \(-0.890806\pi\)
−0.762160 0.647389i \(-0.775861\pi\)
\(642\) 271590. + 197272.i 0.0260062 + 0.0188898i
\(643\) −1.99881e6 + 1.15401e6i −0.190653 + 0.110074i −0.592288 0.805726i \(-0.701775\pi\)
0.401635 + 0.915800i \(0.368442\pi\)
\(644\) 2.69283e7 3.23233e6i 2.55855 0.307115i
\(645\) −112018. 1.14563e6i −0.0106020 0.108429i
\(646\) 150091. 169185.i 0.0141506 0.0159507i
\(647\) 4.18696e6 0.393222 0.196611 0.980482i \(-0.437006\pi\)
0.196611 + 0.980482i \(0.437006\pi\)
\(648\) 1.04399e7 + 2.29435e6i 0.976692 + 0.214646i
\(649\) 1.26535e6 0.117923
\(650\) −1.52784e6 + 1.72221e6i −0.141839 + 0.159883i
\(651\) −517739. 5.29503e6i −0.0478805 0.489684i
\(652\) 1.60593e6 192767.i 0.147947 0.0177588i
\(653\) −1.70167e6 + 982460.i −0.156168 + 0.0901638i −0.576048 0.817416i \(-0.695406\pi\)
0.419879 + 0.907580i \(0.362072\pi\)
\(654\) −6.07510e6 4.41270e6i −0.555404 0.403423i
\(655\) 8.73801e6 + 5.04489e6i 0.795810 + 0.459461i
\(656\) 6.81412e6 6.50932e6i 0.618230 0.590576i
\(657\) −1.55987e7 + 3.07988e6i −1.40986 + 0.278369i
\(658\) −594059. + 2.89978e6i −0.0534890 + 0.261096i
\(659\) −2.30212e6 + 3.98739e6i −0.206497 + 0.357664i −0.950609 0.310391i \(-0.899540\pi\)
0.744111 + 0.668056i \(0.232873\pi\)
\(660\) 2.40088e6 + 1.08933e7i 0.214541 + 0.973419i
\(661\) −2.73544e6 4.73792e6i −0.243514 0.421778i 0.718199 0.695838i \(-0.244967\pi\)
−0.961713 + 0.274060i \(0.911633\pi\)
\(662\) 11333.5 3775.08i 0.00100513 0.000334797i
\(663\) −248947. 347923.i −0.0219949 0.0307397i
\(664\) 2.16280e6 1.02083e6i 0.190369 0.0898535i
\(665\) 1.51295e7i 1.32669i
\(666\) −7.69366e6 + 1.31090e7i −0.672121 + 1.14521i
\(667\) 1.75118e6i 0.152411i
\(668\) 7.94259e6 5.95149e6i 0.688686 0.516042i
\(669\) 4.14861e6 9.13900e6i 0.358375 0.789466i
\(670\) 757210. + 2.27329e6i 0.0651673 + 0.195645i
\(671\) −7.39309e6 1.28052e7i −0.633899 1.09795i
\(672\) −1.18152e7 1.52890e7i −1.00929 1.30604i
\(673\) 1.03102e7 1.78577e7i 0.877460 1.51981i 0.0233415 0.999728i \(-0.492569\pi\)
0.854119 0.520078i \(-0.174097\pi\)
\(674\) 1.37903e7 + 2.82513e6i 1.16930 + 0.239546i
\(675\) 1.86294e6 + 438540.i 0.157376 + 0.0370467i
\(676\) 8.16662e6 + 3.49267e6i 0.687346 + 0.293962i
\(677\) 2.59618e6 + 1.49891e6i 0.217702 + 0.125691i 0.604886 0.796312i \(-0.293219\pi\)
−0.387184 + 0.922003i \(0.626552\pi\)
\(678\) −3.72201e6 390746.i −0.310959 0.0326453i
\(679\) −1.03573e7 + 5.97977e6i −0.862126 + 0.497749i
\(680\) −30660.5 + 370328.i −0.00254277 + 0.0307124i
\(681\) 1.69290e7 + 7.68487e6i 1.39883 + 0.634993i
\(682\) −2.50495e6 2.22225e6i −0.206223 0.182950i
\(683\) 3.24667e6 0.266310 0.133155 0.991095i \(-0.457489\pi\)
0.133155 + 0.991095i \(0.457489\pi\)
\(684\) 8.67769e6 2.82186e6i 0.709192 0.230619i
\(685\) −2.07344e7 −1.68836
\(686\) −1.10247e7 9.78050e6i −0.894452 0.793507i
\(687\) 1.36468e7 9.76458e6i 1.10316 0.789336i
\(688\) 1.20448e6 + 352454.i 0.0970125 + 0.0283878i
\(689\) 1.41002e7 8.14073e6i 1.13156 0.653304i
\(690\) −8.56171e6 1.92237e7i −0.684601 1.53714i
\(691\) 1.27793e7 + 7.37815e6i 1.01815 + 0.587831i 0.913568 0.406685i \(-0.133315\pi\)
0.104584 + 0.994516i \(0.466649\pi\)
\(692\) −2.04169e6 + 4.77390e6i −0.162078 + 0.378973i
\(693\) 1.45274e7 1.27040e7i 1.14910 1.00486i
\(694\) −1.83493e7 3.75911e6i −1.44618 0.296269i
\(695\) −8.31854e6 + 1.44081e7i −0.653259 + 1.13148i
\(696\) −1.07106e6 + 639791.i −0.0838092 + 0.0500627i
\(697\) 156769. + 271533.i 0.0122230 + 0.0211709i
\(698\) −470177. 1.41156e6i −0.0365277 0.109663i
\(699\) 2.76417e6 270275.i 0.213979 0.0209225i
\(700\) −2.07457e6 2.76863e6i −0.160023 0.213560i
\(701\) 571089.i 0.0438944i −0.999759 0.0219472i \(-0.993013\pi\)
0.999759 0.0219472i \(-0.00698656\pi\)
\(702\) −1.55718e6 1.71904e7i −0.119260 1.31657i
\(703\) 1.29759e7i 0.990259i
\(704\) −1.19960e7 2.00007e6i −0.912227 0.152095i
\(705\) 2.28581e6 223503.i 0.173208 0.0169360i
\(706\) −792472. + 263964.i −0.0598374 + 0.0199312i
\(707\) 9.80159e6 + 1.69769e7i 0.737476 + 1.27735i
\(708\) 1.14742e6 + 1.25530e6i 0.0860278 + 0.0941159i
\(709\) 9.31781e6 1.61389e7i 0.696143 1.20576i −0.273651 0.961829i \(-0.588231\pi\)
0.969794 0.243926i \(-0.0784354\pi\)
\(710\) 1.75757e6 8.57924e6i 0.130848 0.638709i
\(711\) −1.09222e7 3.72480e6i −0.810282 0.276331i
\(712\) 8.83692e6 1.27465e7i 0.653282 0.942303i
\(713\) 5.47097e6 + 3.15867e6i 0.403033 + 0.232691i
\(714\) 587277. 261557.i 0.0431119 0.0192009i
\(715\) 1.55996e7 9.00642e6i 1.14116 0.658851i
\(716\) −1.19452e6 9.95147e6i −0.0870786 0.725445i
\(717\) −8.54138e6 + 6.11154e6i −0.620483 + 0.443969i
\(718\) −5.50866e6 + 6.20943e6i −0.398781 + 0.449511i
\(719\) −7.72155e6 −0.557035 −0.278517 0.960431i \(-0.589843\pi\)
−0.278517 + 0.960431i \(0.589843\pi\)
\(720\) −8.62964e6 + 1.22599e7i −0.620385 + 0.881362i
\(721\) 2.26057e7 1.61949
\(722\) −4.12590e6 + 4.65077e6i −0.294562 + 0.332034i
\(723\) 4.62693e6 + 2.10037e6i 0.329190 + 0.149435i
\(724\) −920689. 7.67019e6i −0.0652780 0.543825i
\(725\) −193454. + 111691.i −0.0136689 + 0.00789173i
\(726\) −214572. + 2.04388e6i −0.0151088 + 0.143918i
\(727\) −1.28498e7 7.41886e6i −0.901700 0.520596i −0.0239484 0.999713i \(-0.507624\pi\)
−0.877751 + 0.479117i \(0.840957\pi\)
\(728\) −1.77774e7 + 2.56423e7i −1.24319 + 1.79320i
\(729\) −1.19644e7 + 7.92120e6i −0.833816 + 0.552042i
\(730\) 4.47577e6 2.18476e7i 0.310857 1.51739i
\(731\) −20877.9 + 36161.5i −0.00144508 + 0.00250296i
\(732\) 5.99942e6 1.89461e7i 0.413839 1.30690i
\(733\) −1.71343e6 2.96776e6i −0.117790 0.204018i 0.801102 0.598528i \(-0.204248\pi\)
−0.918891 + 0.394510i \(0.870914\pi\)
\(734\) −1.09355e7 + 3.64250e6i −0.749201 + 0.249551i
\(735\) −1.12518e7 + 2.47866e7i −0.768249 + 1.69238i
\(736\) 2.29279e7 845471.i 1.56016 0.0575313i
\(737\) 2.60915e6i 0.176942i
\(738\) −90205.5 + 1.26498e7i −0.00609666 + 0.854957i
\(739\) 1.26632e7i 0.852970i −0.904495 0.426485i \(-0.859752\pi\)
0.904495 0.426485i \(-0.140248\pi\)
\(740\) −1.27843e7 1.70613e7i −0.858216 1.14534i
\(741\) −8.57443e6 1.19835e7i −0.573667 0.801746i
\(742\) 7.73194e6 + 2.32128e7i 0.515559 + 1.54781i
\(743\) −6.02221e6 1.04308e7i −0.400206 0.693178i 0.593544 0.804801i \(-0.297728\pi\)
−0.993751 + 0.111624i \(0.964395\pi\)
\(744\) −66895.0 4.50018e6i −0.00443059 0.298056i
\(745\) −1.17924e6 + 2.04250e6i −0.0778413 + 0.134825i
\(746\) −6.97165e6 1.42824e6i −0.458658 0.0939623i
\(747\) −1.03627e6 + 3.03866e6i −0.0679475 + 0.199242i
\(748\) 159113. 372040.i 0.0103980 0.0243129i
\(749\) 705427. + 407278.i 0.0459460 + 0.0265269i
\(750\) 8.18001e6 1.12617e7i 0.531007 0.731054i
\(751\) 1.01719e7 5.87273e6i 0.658114 0.379962i −0.133444 0.991056i \(-0.542604\pi\)
0.791558 + 0.611094i \(0.209270\pi\)
\(752\) −703233. + 2.40323e6i −0.0453476 + 0.154971i
\(753\) −2.00407e6 2.04961e7i −0.128803 1.31730i
\(754\) 1.50707e6 + 1.33699e6i 0.0965393 + 0.0856443i
\(755\) 2.59001e7 1.65361
\(756\) 2.57765e7 + 2.89206e6i 1.64029 + 0.184036i
\(757\) 5.08821e6 0.322719 0.161360 0.986896i \(-0.448412\pi\)
0.161360 + 0.986896i \(0.448412\pi\)
\(758\) 1.48937e7 + 1.32128e7i 0.941520 + 0.835263i
\(759\) 2.22998e6 + 2.28065e7i 0.140507 + 1.43699i
\(760\) −1.05604e6 + 1.27551e7i −0.0663200 + 0.801034i
\(761\) −6.60390e6 + 3.81276e6i −0.413370 + 0.238659i −0.692237