Properties

Label 29.6.d.a.7.8
Level $29$
Weight $6$
Character 29.7
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 7.8
Character \(\chi\) \(=\) 29.7
Dual form 29.6.d.a.25.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.813916 + 3.56600i) q^{2} +(-6.23245 - 3.00139i) q^{3} +(16.7771 - 8.07943i) q^{4} +(-22.0176 - 96.4653i) q^{5} +(5.63027 - 24.6678i) q^{6} +(166.222 + 80.0483i) q^{7} +(115.444 + 144.762i) q^{8} +(-121.673 - 152.573i) q^{9} +O(q^{10})\) \(q+(0.813916 + 3.56600i) q^{2} +(-6.23245 - 3.00139i) q^{3} +(16.7771 - 8.07943i) q^{4} +(-22.0176 - 96.4653i) q^{5} +(5.63027 - 24.6678i) q^{6} +(166.222 + 80.0483i) q^{7} +(115.444 + 144.762i) q^{8} +(-121.673 - 152.573i) q^{9} +(326.075 - 157.029i) q^{10} +(128.222 - 160.785i) q^{11} -128.812 q^{12} +(202.955 - 254.498i) q^{13} +(-150.161 + 657.900i) q^{14} +(-152.307 + 667.299i) q^{15} +(-50.7357 + 63.6206i) q^{16} -1148.02 q^{17} +(445.044 - 558.067i) q^{18} +(865.278 - 416.696i) q^{19} +(-1148.78 - 1440.52i) q^{20} +(-795.714 - 997.794i) q^{21} +(677.723 + 326.374i) q^{22} +(-812.753 + 3560.90i) q^{23} +(-285.011 - 1248.71i) q^{24} +(-6005.26 + 2891.98i) q^{25} +(1072.73 + 516.599i) q^{26} +(674.436 + 2954.90i) q^{27} +3435.47 q^{28} +(1324.63 - 4330.88i) q^{29} -2503.55 q^{30} +(1057.18 + 4631.81i) q^{31} +(5070.11 + 2441.64i) q^{32} +(-1281.72 + 617.243i) q^{33} +(-934.392 - 4093.84i) q^{34} +(4062.08 - 17797.1i) q^{35} +(-3274.02 - 1576.69i) q^{36} +(5464.79 + 6852.63i) q^{37} +(2190.20 + 2746.43i) q^{38} +(-2028.76 + 976.999i) q^{39} +(11422.7 - 14323.6i) q^{40} -153.125 q^{41} +(2910.49 - 3649.64i) q^{42} +(-3084.34 + 13513.4i) q^{43} +(852.141 - 3733.47i) q^{44} +(-12039.1 + 15096.5i) q^{45} -13359.7 q^{46} +(10104.1 - 12670.1i) q^{47} +(507.158 - 244.235i) q^{48} +(10743.0 + 13471.3i) q^{49} +(-15200.6 - 19060.9i) q^{50} +(7154.98 + 3445.65i) q^{51} +(1348.81 - 5909.51i) q^{52} +(2994.51 + 13119.8i) q^{53} +(-9988.24 + 4810.08i) q^{54} +(-18333.4 - 8828.88i) q^{55} +(7601.35 + 33303.7i) q^{56} -6643.47 q^{57} +(16522.1 + 1198.65i) q^{58} -32963.8 q^{59} +(2836.13 + 12425.9i) q^{60} +(34280.1 + 16508.4i) q^{61} +(-15656.6 + 7539.81i) q^{62} +(-8011.50 - 35100.7i) q^{63} +(-5159.67 + 22606.0i) q^{64} +(-29018.8 - 13974.7i) q^{65} +(-3244.30 - 4068.22i) q^{66} +(-27444.8 - 34414.7i) q^{67} +(-19260.4 + 9275.34i) q^{68} +(15753.1 - 19753.8i) q^{69} +66770.7 q^{70} +(-19977.4 + 25050.8i) q^{71} +(8040.38 - 35227.2i) q^{72} +(4037.74 - 17690.5i) q^{73} +(-19988.6 + 25064.9i) q^{74} +46107.4 q^{75} +(11150.2 - 13981.9i) q^{76} +(34183.9 - 16462.1i) q^{77} +(-5135.22 - 6439.36i) q^{78} +(10527.3 + 13200.8i) q^{79} +(7254.26 + 3493.47i) q^{80} +(-5886.75 + 25791.6i) q^{81} +(-124.631 - 546.045i) q^{82} +(92401.0 - 44498.0i) q^{83} +(-21411.4 - 10311.2i) q^{84} +(25276.6 + 110744. i) q^{85} -50699.2 q^{86} +(-21254.3 + 23016.3i) q^{87} +38078.0 q^{88} +(-25473.7 - 111607. i) q^{89} +(-63632.9 - 30644.0i) q^{90} +(54107.8 - 26056.9i) q^{91} +(15134.4 + 66308.2i) q^{92} +(7313.04 - 32040.5i) q^{93} +(53405.6 + 25718.8i) q^{94} +(-59248.0 - 74294.7i) q^{95} +(-24270.9 - 30434.8i) q^{96} +(84258.6 - 40576.8i) q^{97} +(-39294.8 + 49274.1i) q^{98} -40132.7 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.813916 + 3.56600i 0.143881 + 0.630386i 0.994512 + 0.104622i \(0.0333633\pi\)
−0.850631 + 0.525764i \(0.823780\pi\)
\(3\) −6.23245 3.00139i −0.399812 0.192539i 0.223163 0.974781i \(-0.428362\pi\)
−0.622975 + 0.782242i \(0.714076\pi\)
\(4\) 16.7771 8.07943i 0.524285 0.252482i
\(5\) −22.0176 96.4653i −0.393862 1.72562i −0.650847 0.759209i \(-0.725586\pi\)
0.256985 0.966415i \(-0.417271\pi\)
\(6\) 5.63027 24.6678i 0.0638485 0.279739i
\(7\) 166.222 + 80.0483i 1.28216 + 0.617457i 0.945945 0.324327i \(-0.105138\pi\)
0.336218 + 0.941784i \(0.390852\pi\)
\(8\) 115.444 + 144.762i 0.637743 + 0.799704i
\(9\) −121.673 152.573i −0.500712 0.627872i
\(10\) 326.075 157.029i 1.03114 0.496571i
\(11\) 128.222 160.785i 0.319507 0.400650i −0.595978 0.803001i \(-0.703235\pi\)
0.915485 + 0.402351i \(0.131807\pi\)
\(12\) −128.812 −0.258228
\(13\) 202.955 254.498i 0.333075 0.417663i −0.586888 0.809668i \(-0.699647\pi\)
0.919963 + 0.392005i \(0.128218\pi\)
\(14\) −150.161 + 657.900i −0.204757 + 0.897098i
\(15\) −152.307 + 667.299i −0.174780 + 0.765759i
\(16\) −50.7357 + 63.6206i −0.0495466 + 0.0621295i
\(17\) −1148.02 −0.963445 −0.481723 0.876324i \(-0.659989\pi\)
−0.481723 + 0.876324i \(0.659989\pi\)
\(18\) 445.044 558.067i 0.323759 0.405981i
\(19\) 865.278 416.696i 0.549885 0.264811i −0.138245 0.990398i \(-0.544146\pi\)
0.688130 + 0.725588i \(0.258432\pi\)
\(20\) −1148.78 1440.52i −0.642185 0.805275i
\(21\) −795.714 997.794i −0.393739 0.493734i
\(22\) 677.723 + 326.374i 0.298535 + 0.143767i
\(23\) −812.753 + 3560.90i −0.320360 + 1.40359i 0.516553 + 0.856255i \(0.327215\pi\)
−0.836913 + 0.547335i \(0.815642\pi\)
\(24\) −285.011 1248.71i −0.101003 0.442522i
\(25\) −6005.26 + 2891.98i −1.92168 + 0.925434i
\(26\) 1072.73 + 516.599i 0.311212 + 0.149872i
\(27\) 674.436 + 2954.90i 0.178046 + 0.780069i
\(28\) 3435.47 0.828115
\(29\) 1324.63 4330.88i 0.292482 0.956271i
\(30\) −2503.55 −0.507871
\(31\) 1057.18 + 4631.81i 0.197581 + 0.865658i 0.972371 + 0.233440i \(0.0749982\pi\)
−0.774790 + 0.632218i \(0.782145\pi\)
\(32\) 5070.11 + 2441.64i 0.875271 + 0.421508i
\(33\) −1281.72 + 617.243i −0.204884 + 0.0986668i
\(34\) −934.392 4093.84i −0.138622 0.607342i
\(35\) 4062.08 17797.1i 0.560503 2.45573i
\(36\) −3274.02 1576.69i −0.421042 0.202763i
\(37\) 5464.79 + 6852.63i 0.656250 + 0.822911i 0.992929 0.118708i \(-0.0378753\pi\)
−0.336679 + 0.941619i \(0.609304\pi\)
\(38\) 2190.20 + 2746.43i 0.246051 + 0.308538i
\(39\) −2028.76 + 976.999i −0.213584 + 0.102857i
\(40\) 11422.7 14323.6i 1.12881 1.41548i
\(41\) −153.125 −0.0142262 −0.00711308 0.999975i \(-0.502264\pi\)
−0.00711308 + 0.999975i \(0.502264\pi\)
\(42\) 2910.49 3649.64i 0.254591 0.319247i
\(43\) −3084.34 + 13513.4i −0.254385 + 1.11453i 0.672769 + 0.739853i \(0.265105\pi\)
−0.927154 + 0.374681i \(0.877752\pi\)
\(44\) 852.141 3733.47i 0.0663559 0.290724i
\(45\) −12039.1 + 15096.5i −0.886260 + 1.11134i
\(46\) −13359.7 −0.930897
\(47\) 10104.1 12670.1i 0.667196 0.836637i −0.326910 0.945056i \(-0.606007\pi\)
0.994105 + 0.108419i \(0.0345787\pi\)
\(48\) 507.158 244.235i 0.0317717 0.0153004i
\(49\) 10743.0 + 13471.3i 0.639199 + 0.801530i
\(50\) −15200.6 19060.9i −0.859875 1.07825i
\(51\) 7154.98 + 3445.65i 0.385197 + 0.185501i
\(52\) 1348.81 5909.51i 0.0691737 0.303070i
\(53\) 2994.51 + 13119.8i 0.146432 + 0.641560i 0.993860 + 0.110649i \(0.0352930\pi\)
−0.847428 + 0.530911i \(0.821850\pi\)
\(54\) −9988.24 + 4810.08i −0.466127 + 0.224475i
\(55\) −18333.4 8828.88i −0.817213 0.393549i
\(56\) 7601.35 + 33303.7i 0.323907 + 1.41913i
\(57\) −6643.47 −0.270837
\(58\) 16522.1 + 1198.65i 0.644902 + 0.0467866i
\(59\) −32963.8 −1.23284 −0.616421 0.787417i \(-0.711418\pi\)
−0.616421 + 0.787417i \(0.711418\pi\)
\(60\) 2836.13 + 12425.9i 0.101706 + 0.445604i
\(61\) 34280.1 + 16508.4i 1.17955 + 0.568043i 0.917781 0.397087i \(-0.129979\pi\)
0.261772 + 0.965130i \(0.415693\pi\)
\(62\) −15656.6 + 7539.81i −0.517270 + 0.249104i
\(63\) −8011.50 35100.7i −0.254310 1.11420i
\(64\) −5159.67 + 22606.0i −0.157461 + 0.689880i
\(65\) −29018.8 13974.7i −0.851916 0.410261i
\(66\) −3244.30 4068.22i −0.0916771 0.114959i
\(67\) −27444.8 34414.7i −0.746918 0.936605i 0.252603 0.967570i \(-0.418713\pi\)
−0.999520 + 0.0309648i \(0.990142\pi\)
\(68\) −19260.4 + 9275.34i −0.505119 + 0.243253i
\(69\) 15753.1 19753.8i 0.398330 0.499490i
\(70\) 66770.7 1.62870
\(71\) −19977.4 + 25050.8i −0.470318 + 0.589761i −0.959249 0.282562i \(-0.908816\pi\)
0.488931 + 0.872323i \(0.337387\pi\)
\(72\) 8040.38 35227.2i 0.182787 0.800842i
\(73\) 4037.74 17690.5i 0.0886812 0.388538i −0.911036 0.412327i \(-0.864716\pi\)
0.999717 + 0.0237895i \(0.00757315\pi\)
\(74\) −19988.6 + 25064.9i −0.424329 + 0.532092i
\(75\) 46107.4 0.946494
\(76\) 11150.2 13981.9i 0.221436 0.277672i
\(77\) 34183.9 16462.1i 0.657045 0.316416i
\(78\) −5135.22 6439.36i −0.0955702 0.119841i
\(79\) 10527.3 + 13200.8i 0.189779 + 0.237976i 0.867614 0.497239i \(-0.165653\pi\)
−0.677834 + 0.735215i \(0.737081\pi\)
\(80\) 7254.26 + 3493.47i 0.126727 + 0.0610284i
\(81\) −5886.75 + 25791.6i −0.0996927 + 0.436782i
\(82\) −124.631 546.045i −0.00204688 0.00896797i
\(83\) 92401.0 44498.0i 1.47225 0.708998i 0.485953 0.873985i \(-0.338473\pi\)
0.986296 + 0.164987i \(0.0527582\pi\)
\(84\) −21411.4 10311.2i −0.331090 0.159445i
\(85\) 25276.6 + 110744.i 0.379465 + 1.66254i
\(86\) −50699.2 −0.739187
\(87\) −21254.3 + 23016.3i −0.301057 + 0.326014i
\(88\) 38078.0 0.524165
\(89\) −25473.7 111607.i −0.340892 1.49354i −0.797197 0.603720i \(-0.793685\pi\)
0.456305 0.889823i \(-0.349173\pi\)
\(90\) −63632.9 30644.0i −0.828087 0.398785i
\(91\) 54107.8 26056.9i 0.684946 0.329853i
\(92\) 15134.4 + 66308.2i 0.186422 + 0.816766i
\(93\) 7313.04 32040.5i 0.0876780 0.384142i
\(94\) 53405.6 + 25718.8i 0.623401 + 0.300214i
\(95\) −59248.0 74294.7i −0.673542 0.844596i
\(96\) −24270.9 30434.8i −0.268787 0.337048i
\(97\) 84258.6 40576.8i 0.909254 0.437873i 0.0800313 0.996792i \(-0.474498\pi\)
0.829222 + 0.558919i \(0.188784\pi\)
\(98\) −39294.8 + 49274.1i −0.413304 + 0.518267i
\(99\) −40132.7 −0.411538
\(100\) −77385.3 + 97038.1i −0.773853 + 0.970381i
\(101\) −28608.7 + 125343.i −0.279058 + 1.22263i 0.619930 + 0.784657i \(0.287161\pi\)
−0.898987 + 0.437974i \(0.855696\pi\)
\(102\) −6463.65 + 28319.1i −0.0615145 + 0.269513i
\(103\) 13918.7 17453.5i 0.129272 0.162102i −0.712983 0.701181i \(-0.752656\pi\)
0.842255 + 0.539079i \(0.181228\pi\)
\(104\) 60271.6 0.546423
\(105\) −78732.8 + 98727.8i −0.696919 + 0.873909i
\(106\) −44347.9 + 21356.8i −0.383362 + 0.184617i
\(107\) −8540.59 10709.6i −0.0721155 0.0904300i 0.744465 0.667661i \(-0.232705\pi\)
−0.816581 + 0.577231i \(0.804133\pi\)
\(108\) 35189.0 + 44125.6i 0.290300 + 0.364025i
\(109\) −179669. 86524.0i −1.44846 0.697542i −0.466134 0.884714i \(-0.654354\pi\)
−0.982327 + 0.187172i \(0.940068\pi\)
\(110\) 16562.0 72562.7i 0.130506 0.571784i
\(111\) −13491.6 59110.7i −0.103934 0.455364i
\(112\) −13526.1 + 6513.83i −0.101889 + 0.0490672i
\(113\) −97936.1 47163.6i −0.721517 0.347465i 0.0368242 0.999322i \(-0.488276\pi\)
−0.758342 + 0.651857i \(0.773990\pi\)
\(114\) −5407.23 23690.6i −0.0389684 0.170732i
\(115\) 361398. 2.54825
\(116\) −12767.6 83361.8i −0.0880978 0.575205i
\(117\) −63523.7 −0.429014
\(118\) −26829.8 117549.i −0.177383 0.777165i
\(119\) −190826. 91897.0i −1.23529 0.594886i
\(120\) −114182. + 54987.3i −0.723845 + 0.348585i
\(121\) 26426.2 + 115781.i 0.164086 + 0.718907i
\(122\) −30967.9 + 135679.i −0.188370 + 0.825305i
\(123\) 954.347 + 459.589i 0.00568779 + 0.00273909i
\(124\) 55158.8 + 69166.9i 0.322152 + 0.403965i
\(125\) 218410. + 273877.i 1.25025 + 1.56777i
\(126\) 118648. 57138.0i 0.665787 0.320626i
\(127\) −123158. + 154436.i −0.677571 + 0.849647i −0.995128 0.0985922i \(-0.968566\pi\)
0.317557 + 0.948239i \(0.397137\pi\)
\(128\) 95264.2 0.513931
\(129\) 59782.0 74964.2i 0.316298 0.396625i
\(130\) 26215.0 114855.i 0.136048 0.596064i
\(131\) −51501.6 + 225643.i −0.262206 + 1.14880i 0.656647 + 0.754198i \(0.271974\pi\)
−0.918853 + 0.394600i \(0.870883\pi\)
\(132\) −16516.5 + 20711.1i −0.0825058 + 0.103459i
\(133\) 177184. 0.868551
\(134\) 100385. 125879.i 0.482955 0.605606i
\(135\) 270196. 130119.i 1.27598 0.614480i
\(136\) −132532. 166189.i −0.614430 0.770471i
\(137\) 20062.7 + 25157.9i 0.0913247 + 0.114518i 0.825394 0.564557i \(-0.190953\pi\)
−0.734070 + 0.679074i \(0.762381\pi\)
\(138\) 83263.6 + 40097.6i 0.372184 + 0.179234i
\(139\) 40285.5 176502.i 0.176853 0.774842i −0.806219 0.591618i \(-0.798489\pi\)
0.983071 0.183224i \(-0.0586534\pi\)
\(140\) −75640.7 331403.i −0.326164 1.42902i
\(141\) −101001. + 48639.7i −0.427838 + 0.206036i
\(142\) −105591. 50850.0i −0.439447 0.211626i
\(143\) −14896.2 65264.5i −0.0609166 0.266893i
\(144\) 15880.0 0.0638180
\(145\) −446945. 32425.1i −1.76536 0.128074i
\(146\) 66370.8 0.257688
\(147\) −26522.7 116203.i −0.101233 0.443532i
\(148\) 147049. + 70814.9i 0.551832 + 0.265748i
\(149\) 61305.8 29523.3i 0.226222 0.108943i −0.317340 0.948312i \(-0.602790\pi\)
0.543562 + 0.839369i \(0.317075\pi\)
\(150\) 37527.6 + 164419.i 0.136183 + 0.596656i
\(151\) 8220.11 36014.7i 0.0293383 0.128540i −0.958138 0.286307i \(-0.907572\pi\)
0.987476 + 0.157767i \(0.0504295\pi\)
\(152\) 160213. + 77154.3i 0.562455 + 0.270864i
\(153\) 139683. + 175157.i 0.482408 + 0.604921i
\(154\) 86526.7 + 108501.i 0.294001 + 0.368665i
\(155\) 423532. 203962.i 1.41598 0.681900i
\(156\) −26143.1 + 32782.4i −0.0860093 + 0.107852i
\(157\) −407474. −1.31932 −0.659662 0.751563i \(-0.729300\pi\)
−0.659662 + 0.751563i \(0.729300\pi\)
\(158\) −38505.7 + 48284.6i −0.122711 + 0.153874i
\(159\) 20714.5 90756.2i 0.0649803 0.284697i
\(160\) 123902. 542849.i 0.382628 1.67640i
\(161\) −420141. + 526841.i −1.27741 + 1.60182i
\(162\) −96764.0 −0.289685
\(163\) −83636.1 + 104876.i −0.246561 + 0.309178i −0.889677 0.456591i \(-0.849070\pi\)
0.643115 + 0.765769i \(0.277642\pi\)
\(164\) −2569.00 + 1237.17i −0.00745855 + 0.00359185i
\(165\) 87762.8 + 110051.i 0.250958 + 0.314691i
\(166\) 233886. + 293284.i 0.658771 + 0.826073i
\(167\) −112265. 54063.9i −0.311496 0.150009i 0.271603 0.962409i \(-0.412446\pi\)
−0.583100 + 0.812401i \(0.698160\pi\)
\(168\) 52582.3 230378.i 0.143736 0.629750i
\(169\) 59042.1 + 258680.i 0.159018 + 0.696701i
\(170\) −374340. + 180273.i −0.993446 + 0.478418i
\(171\) −168857. 81317.5i −0.441601 0.212664i
\(172\) 57434.1 + 251635.i 0.148030 + 0.648560i
\(173\) 75209.7 0.191055 0.0955275 0.995427i \(-0.469546\pi\)
0.0955275 + 0.995427i \(0.469546\pi\)
\(174\) −99375.3 57059.6i −0.248831 0.142875i
\(175\) −1.22970e6 −3.03533
\(176\) 3723.82 + 16315.1i 0.00906165 + 0.0397017i
\(177\) 205445. + 98937.2i 0.492905 + 0.237370i
\(178\) 377258. 181678.i 0.892460 0.429786i
\(179\) −726.365 3182.41i −0.00169443 0.00742376i 0.974074 0.226231i \(-0.0726405\pi\)
−0.975768 + 0.218807i \(0.929783\pi\)
\(180\) −80009.5 + 350544.i −0.184060 + 0.806421i
\(181\) 115178. + 55466.6i 0.261319 + 0.125845i 0.559957 0.828522i \(-0.310818\pi\)
−0.298637 + 0.954367i \(0.596532\pi\)
\(182\) 136958. + 171740.i 0.306485 + 0.384321i
\(183\) −164101. 205776.i −0.362229 0.454221i
\(184\) −609310. + 293428.i −1.32676 + 0.638936i
\(185\) 540720. 678041.i 1.16156 1.45655i
\(186\) 120209. 0.254773
\(187\) −147201. + 184585.i −0.307828 + 0.386004i
\(188\) 67150.1 294204.i 0.138565 0.607091i
\(189\) −124428. + 545157.i −0.253376 + 1.11011i
\(190\) 216712. 271748.i 0.435511 0.546113i
\(191\) 81662.8 0.161972 0.0809861 0.996715i \(-0.474193\pi\)
0.0809861 + 0.996715i \(0.474193\pi\)
\(192\) 100007. 125404.i 0.195784 0.245505i
\(193\) 631554. 304140.i 1.22044 0.587734i 0.291007 0.956721i \(-0.406010\pi\)
0.929435 + 0.368987i \(0.120295\pi\)
\(194\) 213276. + 267440.i 0.406854 + 0.510179i
\(195\) 138915. + 174194.i 0.261615 + 0.328054i
\(196\) 289077. + 139212.i 0.537494 + 0.258844i
\(197\) 73705.5 322925.i 0.135311 0.592838i −0.861118 0.508406i \(-0.830235\pi\)
0.996429 0.0844326i \(-0.0269078\pi\)
\(198\) −32664.6 143113.i −0.0592127 0.259428i
\(199\) −62571.5 + 30132.8i −0.112007 + 0.0539396i −0.489048 0.872257i \(-0.662656\pi\)
0.377041 + 0.926196i \(0.376941\pi\)
\(200\) −1.11192e6 535472.i −1.96561 0.946589i
\(201\) 67756.4 + 296860.i 0.118293 + 0.518277i
\(202\) −470257. −0.810881
\(203\) 566861. 613853.i 0.965466 1.04550i
\(204\) 147879. 0.248788
\(205\) 3371.45 + 14771.3i 0.00560315 + 0.0245490i
\(206\) 73567.7 + 35428.4i 0.120787 + 0.0581678i
\(207\) 642188. 309261.i 1.04168 0.501649i
\(208\) 5894.23 + 25824.3i 0.00944645 + 0.0413876i
\(209\) 43949.1 192554.i 0.0695960 0.304920i
\(210\) −416145. 200405.i −0.651174 0.313589i
\(211\) −464199. 582087.i −0.717791 0.900081i 0.280420 0.959877i \(-0.409526\pi\)
−0.998211 + 0.0597964i \(0.980955\pi\)
\(212\) 156240. + 195918.i 0.238754 + 0.299389i
\(213\) 199695. 96168.1i 0.301591 0.145239i
\(214\) 31239.0 39172.5i 0.0466297 0.0584718i
\(215\) 1.37148e6 2.02346
\(216\) −349897. + 438757.i −0.510277 + 0.639868i
\(217\) −195042. + 854534.i −0.281176 + 1.23191i
\(218\) 162309. 711123.i 0.231314 1.01345i
\(219\) −78261.2 + 98136.4i −0.110265 + 0.138267i
\(220\) −378913. −0.527816
\(221\) −232997. + 292169.i −0.320900 + 0.402396i
\(222\) 199808. 96222.3i 0.272101 0.131037i
\(223\) −399787. 501317.i −0.538353 0.675073i 0.436040 0.899927i \(-0.356381\pi\)
−0.974392 + 0.224855i \(0.927809\pi\)
\(224\) 647315. + 811707.i 0.861976 + 1.08088i
\(225\) 1.17192e6 + 564365.i 1.54326 + 0.743196i
\(226\) 88473.4 387627.i 0.115224 0.504828i
\(227\) 265146. + 1.16168e6i 0.341524 + 1.49631i 0.795859 + 0.605482i \(0.207020\pi\)
−0.454335 + 0.890831i \(0.650123\pi\)
\(228\) −111458. + 53675.4i −0.141996 + 0.0683815i
\(229\) −437345. 210614.i −0.551106 0.265399i 0.137540 0.990496i \(-0.456080\pi\)
−0.688646 + 0.725098i \(0.741795\pi\)
\(230\) 294148. + 1.28875e6i 0.366646 + 1.60638i
\(231\) −262459. −0.323617
\(232\) 779866. 308217.i 0.951262 0.375956i
\(233\) −1.33810e6 −1.61473 −0.807363 0.590055i \(-0.799106\pi\)
−0.807363 + 0.590055i \(0.799106\pi\)
\(234\) −51703.0 226526.i −0.0617271 0.270444i
\(235\) −1.44470e6 695730.i −1.70650 0.821809i
\(236\) −553037. + 266329.i −0.646359 + 0.311270i
\(237\) −25990.0 113870.i −0.0300563 0.131685i
\(238\) 172388. 755282.i 0.197272 0.864305i
\(239\) 862598. + 415405.i 0.976818 + 0.470411i 0.853010 0.521895i \(-0.174775\pi\)
0.123809 + 0.992306i \(0.460489\pi\)
\(240\) −34726.6 43545.7i −0.0389165 0.0487997i
\(241\) −500955. 628178.i −0.555593 0.696691i 0.422144 0.906529i \(-0.361278\pi\)
−0.977736 + 0.209838i \(0.932706\pi\)
\(242\) −391365. + 188472.i −0.429580 + 0.206875i
\(243\) 573304. 718900.i 0.622829 0.781003i
\(244\) 708500. 0.761842
\(245\) 1.06298e6 1.33293e6i 1.13138 1.41871i
\(246\) −862.137 + 3777.27i −0.000908319 + 0.00397960i
\(247\) 69564.6 304782.i 0.0725514 0.317868i
\(248\) −548465. + 687753.i −0.566265 + 0.710073i
\(249\) −709440. −0.725133
\(250\) −798879. + 1.00176e6i −0.808409 + 1.01371i
\(251\) −516574. + 248769.i −0.517545 + 0.249237i −0.674375 0.738389i \(-0.735587\pi\)
0.156830 + 0.987626i \(0.449873\pi\)
\(252\) −418003. 524160.i −0.414647 0.519951i
\(253\) 468328. + 587265.i 0.459991 + 0.576810i
\(254\) −650959. 313485.i −0.633095 0.304883i
\(255\) 174851. 766072.i 0.168390 0.737767i
\(256\) 242646. + 1.06310e6i 0.231406 + 1.01385i
\(257\) −1.22886e6 + 591790.i −1.16057 + 0.558901i −0.912192 0.409762i \(-0.865612\pi\)
−0.248377 + 0.968663i \(0.579897\pi\)
\(258\) 315980. + 152168.i 0.295536 + 0.142323i
\(259\) 359827. + 1.57650e6i 0.333307 + 1.46031i
\(260\) −599760. −0.550230
\(261\) −821946. + 324848.i −0.746865 + 0.295175i
\(262\) −846561. −0.761913
\(263\) −15351.3 67258.2i −0.0136853 0.0599592i 0.967624 0.252395i \(-0.0812183\pi\)
−0.981310 + 0.192436i \(0.938361\pi\)
\(264\) −237320. 114287.i −0.209567 0.100922i
\(265\) 1.19967e6 577732.i 1.04942 0.505373i
\(266\) 144213. + 631838.i 0.124968 + 0.547522i
\(267\) −176214. + 772044.i −0.151273 + 0.662771i
\(268\) −738495. 355640.i −0.628074 0.302464i
\(269\) −1.01667e6 1.27486e6i −0.856638 1.07419i −0.996465 0.0840138i \(-0.973226\pi\)
0.139827 0.990176i \(-0.455345\pi\)
\(270\) 683923. + 857612.i 0.570950 + 0.715948i
\(271\) 1.60158e6 771281.i 1.32473 0.637954i 0.368239 0.929731i \(-0.379961\pi\)
0.956486 + 0.291777i \(0.0942466\pi\)
\(272\) 58245.6 73037.7i 0.0477354 0.0598583i
\(273\) −415431. −0.337359
\(274\) −73383.6 + 92020.1i −0.0590503 + 0.0740468i
\(275\) −305019. + 1.33637e6i −0.243217 + 1.06560i
\(276\) 104692. 458687.i 0.0827260 0.362446i
\(277\) 806869. 1.01178e6i 0.631835 0.792296i −0.358120 0.933675i \(-0.616582\pi\)
0.989956 + 0.141379i \(0.0451537\pi\)
\(278\) 662196. 0.513895
\(279\) 578059. 724863.i 0.444592 0.557500i
\(280\) 3.04529e6 1.46653e6i 2.32131 1.11788i
\(281\) −301094. 377559.i −0.227476 0.285246i 0.654975 0.755651i \(-0.272679\pi\)
−0.882451 + 0.470405i \(0.844108\pi\)
\(282\) −255656. 320582.i −0.191440 0.240058i
\(283\) −816777. 393339.i −0.606230 0.291945i 0.105477 0.994422i \(-0.466363\pi\)
−0.711707 + 0.702477i \(0.752077\pi\)
\(284\) −132766. + 581686.i −0.0976767 + 0.427949i
\(285\) 146273. + 640865.i 0.106672 + 0.467363i
\(286\) 220609. 106240.i 0.159481 0.0768019i
\(287\) −25452.8 12257.4i −0.0182403 0.00878404i
\(288\) −244367. 1.07064e6i −0.173605 0.760612i
\(289\) −101908. −0.0717737
\(290\) −248148. 1.62020e6i −0.173267 1.13129i
\(291\) −646925. −0.447838
\(292\) −75187.6 329418.i −0.0516047 0.226095i
\(293\) 1.05964e6 + 510294.i 0.721088 + 0.347258i 0.758172 0.652055i \(-0.226093\pi\)
−0.0370842 + 0.999312i \(0.511807\pi\)
\(294\) 392794. 189160.i 0.265031 0.127632i
\(295\) 725783. + 3.17986e6i 0.485570 + 2.12742i
\(296\) −361124. + 1.58219e6i −0.239567 + 1.04961i
\(297\) 561582. + 270444.i 0.369422 + 0.177904i
\(298\) 155178. + 194587.i 0.101225 + 0.126932i
\(299\) 741290. + 929549.i 0.479524 + 0.601304i
\(300\) 773549. 372522.i 0.496232 0.238973i
\(301\) −1.59441e6 + 1.99933e6i −1.01434 + 1.27194i
\(302\) 135119. 0.0852508
\(303\) 554504. 695327.i 0.346975 0.435093i
\(304\) −17390.1 + 76190.9i −0.0107924 + 0.0472845i
\(305\) 837726. 3.67032e6i 0.515647 2.25920i
\(306\) −510919. + 640672.i −0.311924 + 0.391140i
\(307\) 639946. 0.387523 0.193762 0.981049i \(-0.437931\pi\)
0.193762 + 0.981049i \(0.437931\pi\)
\(308\) 440503. 552373.i 0.264589 0.331784i
\(309\) −139132. + 67002.5i −0.0828956 + 0.0399204i
\(310\) 1.07205e6 + 1.34431e6i 0.633594 + 0.794501i
\(311\) −572165. 717473.i −0.335444 0.420634i 0.585290 0.810824i \(-0.300981\pi\)
−0.920734 + 0.390190i \(0.872409\pi\)
\(312\) −375640. 180899.i −0.218467 0.105208i
\(313\) 609381. 2.66987e6i 0.351583 1.54039i −0.421942 0.906623i \(-0.638652\pi\)
0.773526 0.633765i \(-0.218491\pi\)
\(314\) −331650. 1.45305e6i −0.189826 0.831683i
\(315\) −3.20961e6 + 1.54566e6i −1.82253 + 0.877685i
\(316\) 283272. + 136417.i 0.159583 + 0.0768510i
\(317\) −360968. 1.58150e6i −0.201753 0.883938i −0.969869 0.243627i \(-0.921663\pi\)
0.768116 0.640311i \(-0.221195\pi\)
\(318\) 340496. 0.188819
\(319\) −526496. 768295.i −0.289680 0.422718i
\(320\) 2.29430e6 1.25249
\(321\) 21085.2 + 92380.5i 0.0114213 + 0.0500401i
\(322\) −2.22067e6 1.06942e6i −1.19356 0.574789i
\(323\) −993356. + 478375.i −0.529784 + 0.255130i
\(324\) 109618. + 480269.i 0.0580124 + 0.254169i
\(325\) −482797. + 2.11527e6i −0.253545 + 1.11086i
\(326\) −442062. 212886.i −0.230377 0.110944i
\(327\) 860086. + 1.07851e6i 0.444808 + 0.557771i
\(328\) −17677.4 22166.7i −0.00907263 0.0113767i
\(329\) 2.69375e6 1.29724e6i 1.37204 0.660740i
\(330\) −321011. + 402535.i −0.162269 + 0.203478i
\(331\) −1.33380e6 −0.669146 −0.334573 0.942370i \(-0.608592\pi\)
−0.334573 + 0.942370i \(0.608592\pi\)
\(332\) 1.19070e6 1.49309e6i 0.592868 0.743433i
\(333\) 380610. 1.66756e6i 0.188091 0.824082i
\(334\) 101418. 444340.i 0.0497448 0.217946i
\(335\) −2.71555e6 + 3.40520e6i −1.32205 + 1.65779i
\(336\) 103851. 0.0501839
\(337\) −1.56843e6 + 1.96675e6i −0.752300 + 0.943354i −0.999673 0.0255660i \(-0.991861\pi\)
0.247373 + 0.968920i \(0.420433\pi\)
\(338\) −874399. + 421088.i −0.416311 + 0.200485i
\(339\) 468826. + 587889.i 0.221571 + 0.277841i
\(340\) 1.31882e6 + 1.65374e6i 0.618710 + 0.775838i
\(341\) 880281. + 423921.i 0.409954 + 0.197423i
\(342\) 152542. 668331.i 0.0705220 0.308977i
\(343\) 17384.6 + 76166.8i 0.00797864 + 0.0349567i
\(344\) −2.31229e6 + 1.11354e6i −1.05353 + 0.507353i
\(345\) −2.25240e6 1.08470e6i −1.01882 0.490638i
\(346\) 61214.4 + 268198.i 0.0274893 + 0.120438i
\(347\) −1.40122e6 −0.624714 −0.312357 0.949965i \(-0.601119\pi\)
−0.312357 + 0.949965i \(0.601119\pi\)
\(348\) −170628. + 557869.i −0.0755269 + 0.246936i
\(349\) 603731. 0.265326 0.132663 0.991161i \(-0.457647\pi\)
0.132663 + 0.991161i \(0.457647\pi\)
\(350\) −1.00088e6 4.38512e6i −0.436727 1.91343i
\(351\) 888897. + 428070.i 0.385109 + 0.185459i
\(352\) 1.04268e6 502128.i 0.448533 0.216002i
\(353\) 956575. + 4.19103e6i 0.408585 + 1.79013i 0.590746 + 0.806858i \(0.298834\pi\)
−0.182161 + 0.983269i \(0.558309\pi\)
\(354\) −185595. + 813144.i −0.0787151 + 0.344873i
\(355\) 2.85639e6 + 1.37556e6i 1.20295 + 0.579308i
\(356\) −1.32910e6 1.66664e6i −0.555817 0.696973i
\(357\) 913495. + 1.14549e6i 0.379346 + 0.475685i
\(358\) 10757.3 5180.44i 0.00443604 0.00213628i
\(359\) 443403. 556009.i 0.181578 0.227691i −0.682710 0.730690i \(-0.739199\pi\)
0.864287 + 0.502999i \(0.167770\pi\)
\(360\) −3.57523e6 −1.45395
\(361\) −968752. + 1.21478e6i −0.391241 + 0.490601i
\(362\) −104049. + 455869.i −0.0417318 + 0.182839i
\(363\) 182803. 800913.i 0.0728143 0.319020i
\(364\) 697247. 874320.i 0.275825 0.345873i
\(365\) −1.79542e6 −0.705399
\(366\) 600233. 752668.i 0.234216 0.293698i
\(367\) −2.20152e6 + 1.06020e6i −0.853214 + 0.410886i −0.808770 0.588126i \(-0.799866\pi\)
−0.0444443 + 0.999012i \(0.514152\pi\)
\(368\) −185311. 232373.i −0.0713316 0.0894470i
\(369\) 18631.2 + 23362.8i 0.00712320 + 0.00893221i
\(370\) 2.85800e6 + 1.37634e6i 1.08532 + 0.522662i
\(371\) −552464. + 2.42050e6i −0.208386 + 0.913000i
\(372\) −136177. 596632.i −0.0510209 0.223537i
\(373\) 3.57149e6 1.71994e6i 1.32916 0.640090i 0.371618 0.928386i \(-0.378803\pi\)
0.957541 + 0.288296i \(0.0930887\pi\)
\(374\) −778039. 374684.i −0.287622 0.138512i
\(375\) −539216. 2.36246e6i −0.198009 0.867534i
\(376\) 3.00061e6 1.09456
\(377\) −833360. 1.21609e6i −0.301981 0.440669i
\(378\) −2.04530e6 −0.736255
\(379\) 437805. + 1.91815e6i 0.156561 + 0.685937i 0.990890 + 0.134671i \(0.0429978\pi\)
−0.834330 + 0.551266i \(0.814145\pi\)
\(380\) −1.59427e6 767760.i −0.566373 0.272751i
\(381\) 1.23110e6 592867.i 0.434491 0.209240i
\(382\) 66466.6 + 291209.i 0.0233048 + 0.102105i
\(383\) −107009. + 468839.i −0.0372756 + 0.163315i −0.990140 0.140081i \(-0.955264\pi\)
0.952864 + 0.303397i \(0.0981207\pi\)
\(384\) −593730. 285925.i −0.205476 0.0989519i
\(385\) −2.34067e6 2.93511e6i −0.804801 1.00919i
\(386\) 1.59860e6 + 2.00458e6i 0.546098 + 0.684785i
\(387\) 2.43706e6 1.17363e6i 0.827159 0.398339i
\(388\) 1.08578e6 1.36152e6i 0.366152 0.459141i
\(389\) 4.13231e6 1.38458 0.692292 0.721617i \(-0.256601\pi\)
0.692292 + 0.721617i \(0.256601\pi\)
\(390\) −508110. + 637149.i −0.169159 + 0.212119i
\(391\) 933056. 4.08798e6i 0.308650 1.35228i
\(392\) −709919. + 3.11036e6i −0.233342 + 1.02234i
\(393\) 998224. 1.25173e6i 0.326022 0.408818i
\(394\) 1.21154e6 0.393186
\(395\) 1.04163e6 1.30617e6i 0.335909 0.421217i
\(396\) −673310. + 324249.i −0.215763 + 0.103906i
\(397\) −179609. 225222.i −0.0571940 0.0717191i 0.752412 0.658693i \(-0.228890\pi\)
−0.809606 + 0.586974i \(0.800319\pi\)
\(398\) −158382. 198604.i −0.0501184 0.0628465i
\(399\) −1.10429e6 531798.i −0.347257 0.167230i
\(400\) 120692. 528785.i 0.0377162 0.165245i
\(401\) −144008. 630941.i −0.0447225 0.195942i 0.947632 0.319366i \(-0.103470\pi\)
−0.992354 + 0.123423i \(0.960613\pi\)
\(402\) −1.00346e6 + 483239.i −0.309694 + 0.149141i
\(403\) 1.39335e6 + 671000.i 0.427363 + 0.205807i
\(404\) 532727. + 2.33403e6i 0.162387 + 0.711464i
\(405\) 2.61760e6 0.792987
\(406\) 2.65038e6 + 1.52180e6i 0.797981 + 0.458188i
\(407\) 1.80251e6 0.539376
\(408\) 327198. + 1.43355e6i 0.0973106 + 0.426345i
\(409\) −3.82134e6 1.84026e6i −1.12955 0.543965i −0.226723 0.973959i \(-0.572801\pi\)
−0.902832 + 0.429994i \(0.858516\pi\)
\(410\) −49930.4 + 24045.2i −0.0146692 + 0.00706429i
\(411\) −49531.4 217011.i −0.0144636 0.0633691i
\(412\) 92501.1 405274.i 0.0268475 0.117627i
\(413\) −5.47931e6 2.63869e6i −1.58070 0.761227i
\(414\) 1.62551e6 + 2.03833e6i 0.466111 + 0.584485i
\(415\) −6.32696e6 7.93375e6i −1.80333 2.26130i
\(416\) 1.65040e6 794790.i 0.467579 0.225174i
\(417\) −780829. + 979129.i −0.219895 + 0.275740i
\(418\) 722417. 0.202231
\(419\) −105009. + 131677.i −0.0292207 + 0.0366415i −0.796227 0.604998i \(-0.793174\pi\)
0.767006 + 0.641639i \(0.221745\pi\)
\(420\) −523244. + 2.29248e6i −0.144738 + 0.634137i
\(421\) 946372. 4.14633e6i 0.260230 1.14014i −0.660773 0.750585i \(-0.729772\pi\)
0.921003 0.389555i \(-0.127371\pi\)
\(422\) 1.69790e6 2.12910e6i 0.464122 0.581990i
\(423\) −3.16252e6 −0.859374
\(424\) −1.55355e6 + 1.94809e6i −0.419672 + 0.526253i
\(425\) 6.89415e6 3.32005e6i 1.85144 0.891604i
\(426\) 505471. + 633840.i 0.134950 + 0.169222i
\(427\) 4.37664e6 + 5.48813e6i 1.16164 + 1.45665i
\(428\) −229814. 110672.i −0.0606410 0.0292032i
\(429\) −103044. + 451467.i −0.0270322 + 0.118436i
\(430\) 1.11627e6 + 4.89071e6i 0.291138 + 1.27556i
\(431\) −1.44738e6 + 697021.i −0.375309 + 0.180739i −0.612023 0.790840i \(-0.709644\pi\)
0.236714 + 0.971579i \(0.423930\pi\)
\(432\) −222210. 107011.i −0.0572869 0.0275879i
\(433\) 1.41975e6 + 6.22033e6i 0.363908 + 1.59439i 0.743174 + 0.669099i \(0.233320\pi\)
−0.379265 + 0.925288i \(0.623823\pi\)
\(434\) −3.20601e6 −0.817036
\(435\) 2.68824e6 + 1.54354e6i 0.681154 + 0.391107i
\(436\) −3.71339e6 −0.935523
\(437\) 780556. + 3.41984e6i 0.195524 + 0.856648i
\(438\) −413653. 199205.i −0.103027 0.0496151i
\(439\) 1.85293e6 892323.i 0.458878 0.220984i −0.190140 0.981757i \(-0.560894\pi\)
0.649018 + 0.760773i \(0.275180\pi\)
\(440\) −838386. 3.67321e6i −0.206449 0.904512i
\(441\) 748225. 3.27819e6i 0.183204 0.802671i
\(442\) −1.23151e6 593066.i −0.299836 0.144393i
\(443\) 4.28394e6 + 5.37189e6i 1.03713 + 1.30052i 0.952641 + 0.304098i \(0.0983550\pi\)
0.0844910 + 0.996424i \(0.473074\pi\)
\(444\) −703931. 882701.i −0.169462 0.212499i
\(445\) −1.02054e7 + 4.91465e6i −2.44303 + 1.17650i
\(446\) 1.46230e6 1.83367e6i 0.348097 0.436500i
\(447\) −470696. −0.111422
\(448\) −2.66722e6 + 3.34459e6i −0.627861 + 0.787313i
\(449\) −583421. + 2.55613e6i −0.136573 + 0.598367i 0.859600 + 0.510968i \(0.170713\pi\)
−0.996173 + 0.0873995i \(0.972144\pi\)
\(450\) −1.05868e6 + 4.63840e6i −0.246453 + 1.07978i
\(451\) −19634.1 + 24620.3i −0.00454536 + 0.00569971i
\(452\) −2.02414e6 −0.466009
\(453\) −159326. + 199788.i −0.0364787 + 0.0457429i
\(454\) −3.92675e6 + 1.89102e6i −0.894115 + 0.430583i
\(455\) −3.70491e6 4.64582e6i −0.838976 1.05204i
\(456\) −766947. 961721.i −0.172724 0.216589i
\(457\) 1.09868e6 + 529099.i 0.246084 + 0.118508i 0.552860 0.833274i \(-0.313536\pi\)
−0.306777 + 0.951781i \(0.599251\pi\)
\(458\) 395088. 1.73099e6i 0.0880096 0.385595i
\(459\) −774266. 3.39228e6i −0.171537 0.751554i
\(460\) 6.06322e6 2.91989e6i 1.33601 0.643387i
\(461\) −262773. 126545.i −0.0575875 0.0277327i 0.404868 0.914375i \(-0.367317\pi\)
−0.462456 + 0.886642i \(0.653032\pi\)
\(462\) −213619. 935928.i −0.0465625 0.204003i
\(463\) −2.07652e6 −0.450178 −0.225089 0.974338i \(-0.572267\pi\)
−0.225089 + 0.974338i \(0.572267\pi\)
\(464\) 208327. + 304004.i 0.0449212 + 0.0655517i
\(465\) −3.25182e6 −0.697419
\(466\) −1.08910e6 4.77166e6i −0.232329 1.01790i
\(467\) 7.43327e6 + 3.57968e6i 1.57720 + 0.759541i 0.998434 0.0559492i \(-0.0178185\pi\)
0.578770 + 0.815491i \(0.303533\pi\)
\(468\) −1.06574e6 + 513235.i −0.224925 + 0.108318i
\(469\) −1.80709e6 7.91738e6i −0.379357 1.66207i
\(470\) 1.30511e6 5.71806e6i 0.272523 1.19400i
\(471\) 2.53956e6 + 1.22299e6i 0.527481 + 0.254022i
\(472\) −3.80546e6 4.77190e6i −0.786235 0.985908i
\(473\) 1.77727e6 + 2.22863e6i 0.365260 + 0.458021i
\(474\) 384906. 185361.i 0.0786881 0.0378942i
\(475\) −3.99114e6 + 5.00473e6i −0.811639 + 1.01776i
\(476\) −3.94398e6 −0.797843
\(477\) 1.63738e6 2.05321e6i 0.329498 0.413177i
\(478\) −779253. + 3.41413e6i −0.155994 + 0.683456i
\(479\) −494436. + 2.16627e6i −0.0984626 + 0.431393i −0.999999 0.00131007i \(-0.999583\pi\)
0.901537 + 0.432703i \(0.142440\pi\)
\(480\) −2.40151e6 + 3.01140e6i −0.475753 + 0.596576i
\(481\) 2.85309e6 0.562280
\(482\) 1.83235e6 2.29769e6i 0.359245 0.450479i
\(483\) 4.19976e6 2.02250e6i 0.819138 0.394476i
\(484\) 1.37880e6 + 1.72896e6i 0.267539 + 0.335483i
\(485\) −5.76943e6 7.23463e6i −1.11373 1.39657i
\(486\) 3.03022e6 + 1.45928e6i 0.581947 + 0.280251i
\(487\) 1.09245e6 4.78636e6i 0.208728 0.914498i −0.756686 0.653778i \(-0.773183\pi\)
0.965415 0.260720i \(-0.0839598\pi\)
\(488\) 1.56763e6 + 6.86825e6i 0.297985 + 1.30556i
\(489\) 836033. 402612.i 0.158107 0.0761404i
\(490\) 5.61842e6 + 2.70569e6i 1.05712 + 0.509082i
\(491\) 496776. + 2.17652e6i 0.0929945 + 0.407436i 0.999904 0.0138910i \(-0.00442179\pi\)
−0.906909 + 0.421327i \(0.861565\pi\)
\(492\) 19724.4 0.00367359
\(493\) −1.52070e6 + 4.97193e6i −0.281790 + 0.921315i
\(494\) 1.14347e6 0.210819
\(495\) 883624. + 3.87141e6i 0.162089 + 0.710160i
\(496\) −348315. 167740.i −0.0635723 0.0306148i
\(497\) −5.32595e6 + 2.56484e6i −0.967177 + 0.465768i
\(498\) −577425. 2.52986e6i −0.104333 0.457113i
\(499\) 1.26773e6 5.55428e6i 0.227916 0.998565i −0.723420 0.690409i \(-0.757431\pi\)
0.951336 0.308157i \(-0.0997121\pi\)
\(500\) 5.87706e6 + 2.83024e6i 1.05132 + 0.506289i
\(501\) 537419. + 673902.i 0.0956574 + 0.119951i
\(502\) −1.30756e6 1.63963e6i −0.231580 0.290393i
\(503\) −7.42752e6 + 3.57691e6i −1.30895 + 0.630358i −0.952666 0.304018i \(-0.901672\pi\)
−0.356287 + 0.934377i \(0.615957\pi\)
\(504\) 4.15636e6 5.21192e6i 0.728849 0.913947i
\(505\) 1.27211e7 2.21971
\(506\) −1.71301e6 + 2.14804e6i −0.297429 + 0.372964i
\(507\) 408424. 1.78942e6i 0.0705653 0.309167i
\(508\) −818489. + 3.58603e6i −0.140719 + 0.616531i
\(509\) 1.03373e6 1.29625e6i 0.176853 0.221766i −0.685502 0.728070i \(-0.740417\pi\)
0.862355 + 0.506304i \(0.168989\pi\)
\(510\) 2.87413e6 0.489306
\(511\) 2.08726e6 2.61734e6i 0.353609 0.443412i
\(512\) −846970. + 407879.i −0.142788 + 0.0687633i
\(513\) 1.81487e6 + 2.27577e6i 0.304475 + 0.381800i
\(514\) −3.11052e6 3.90046e6i −0.519308 0.651191i
\(515\) −1.99011e6 958387.i −0.330643 0.159229i
\(516\) 397300. 1.74069e6i 0.0656893 0.287804i
\(517\) −741605. 3.24918e6i −0.122024 0.534624i
\(518\) −5.32895e6 + 2.56629e6i −0.872604 + 0.420224i
\(519\) −468741. 225734.i −0.0763861 0.0367856i
\(520\) −1.32703e6 5.81412e6i −0.215216 0.942921i
\(521\) 6.77282e6 1.09314 0.546569 0.837414i \(-0.315934\pi\)
0.546569 + 0.837414i \(0.315934\pi\)
\(522\) −1.82740e6 2.66666e6i −0.293534 0.428343i
\(523\) −4.37171e6 −0.698870 −0.349435 0.936961i \(-0.613627\pi\)
−0.349435 + 0.936961i \(0.613627\pi\)
\(524\) 959020. + 4.20174e6i 0.152581 + 0.668499i
\(525\) 7.66407e6 + 3.69082e6i 1.21356 + 0.584420i
\(526\) 227348. 109485.i 0.0358284 0.0172540i
\(527\) −1.21366e6 5.31741e6i −0.190358 0.834014i
\(528\) 25759.5 112860.i 0.00402118 0.0176179i
\(529\) −6.22051e6 2.99564e6i −0.966467 0.465426i
\(530\) 3.03663e6 + 3.80781e6i 0.469572 + 0.588824i
\(531\) 4.01080e6 + 5.02938e6i 0.617298 + 0.774067i
\(532\) 2.97263e6 1.43155e6i 0.455368 0.219294i
\(533\) −31077.6 + 38970.1i −0.00473838 + 0.00594174i
\(534\) −2.89653e6 −0.439567
\(535\) −845059. + 1.05967e6i −0.127645 + 0.160061i
\(536\) 1.81360e6 7.94592e6i 0.272666 1.19463i
\(537\) −5024.63 + 22014.3i −0.000751914 + 0.00329435i
\(538\) 3.71866e6 4.66306e6i 0.553900 0.694568i
\(539\) 3.54348e6 0.525362
\(540\) 3.48181e6 4.36606e6i 0.513832 0.644325i
\(541\) −9.14476e6 + 4.40389e6i −1.34332 + 0.646909i −0.960853 0.277060i \(-0.910640\pi\)
−0.382467 + 0.923969i \(0.624926\pi\)
\(542\) 4.05394e6 + 5.08348e6i 0.592760 + 0.743298i
\(543\) −551362. 691386.i −0.0802485 0.100628i
\(544\) −5.82058e6 2.80305e6i −0.843275 0.406100i
\(545\) −4.39069e6 + 1.92369e7i −0.633201 + 2.77424i
\(546\) −338126. 1.48143e6i −0.0485397 0.212666i
\(547\) 7.40118e6 3.56422e6i 1.05763 0.509327i 0.177528 0.984116i \(-0.443190\pi\)
0.880100 + 0.474789i \(0.157476\pi\)
\(548\) 539855. + 259981.i 0.0767938 + 0.0369819i
\(549\) −1.65222e6 7.23885e6i −0.233958 1.02504i
\(550\) −5.01377e6 −0.706736
\(551\) −658489. 4.29938e6i −0.0923995 0.603291i
\(552\) 4.67819e6 0.653477
\(553\) 693165. + 3.03695e6i 0.0963881 + 0.422304i
\(554\) 4.26474e6 + 2.05379e6i 0.590362 + 0.284303i
\(555\) −5.40508e6 + 2.60295e6i −0.744851 + 0.358701i
\(556\) −750163. 3.28668e6i −0.102913 0.450890i
\(557\) −1.01597e6 + 4.45127e6i −0.138754 + 0.607920i 0.856956 + 0.515389i \(0.172353\pi\)
−0.995710 + 0.0925303i \(0.970504\pi\)
\(558\) 3.05535e6 + 1.47138e6i 0.415409 + 0.200050i
\(559\) 2.81315e6 + 3.52758e6i 0.380770 + 0.477471i
\(560\) 926171. + 1.16138e6i 0.124802 + 0.156497i
\(561\) 1.47144e6 708606.i 0.197394 0.0950600i
\(562\) 1.10131e6 1.38100e6i 0.147085 0.184439i
\(563\) −7.36492e6 −0.979258 −0.489629 0.871931i \(-0.662868\pi\)
−0.489629 + 0.871931i \(0.662868\pi\)
\(564\) −1.30153e6 + 1.63207e6i −0.172289 + 0.216043i
\(565\) −2.39333e6 + 1.04859e7i −0.315415 + 1.38192i
\(566\) 737859. 3.23277e6i 0.0968127 0.424164i
\(567\) −3.04308e6 + 3.81590e6i −0.397517 + 0.498470i
\(568\) −5.93266e6 −0.771576
\(569\) −3.85480e6 + 4.83377e6i −0.499139 + 0.625900i −0.966035 0.258412i \(-0.916801\pi\)
0.466896 + 0.884312i \(0.345372\pi\)
\(570\) −2.16627e6 + 1.04322e6i −0.279271 + 0.134490i
\(571\) −7.96619e6 9.98929e6i −1.02249 1.28217i −0.958765 0.284199i \(-0.908272\pi\)
−0.0637278 0.997967i \(-0.520299\pi\)
\(572\) −777215. 974597.i −0.0993233 0.124548i
\(573\) −508959. 245102.i −0.0647584 0.0311860i
\(574\) 22993.5 100741.i 0.00291290 0.0127623i
\(575\) −5.41727e6 2.37346e7i −0.683299 2.99373i
\(576\) 4.07685e6 1.96331e6i 0.511999 0.246566i
\(577\) −1.04433e7 5.02922e6i −1.30586 0.628870i −0.353957 0.935262i \(-0.615164\pi\)
−0.951906 + 0.306391i \(0.900878\pi\)
\(578\) −82944.9 363405.i −0.0103269 0.0452451i
\(579\) −4.84897e6 −0.601109
\(580\) −7.76042e6 + 3.06706e6i −0.957889 + 0.378575i
\(581\) 1.89211e7 2.32544
\(582\) −526543. 2.30693e6i −0.0644356 0.282311i
\(583\) 2.49343e6 + 1.20077e6i 0.303827 + 0.146315i
\(584\) 3.02705e6 1.45775e6i 0.367271 0.176868i
\(585\) 1.39864e6 + 6.12784e6i 0.168972 + 0.740317i
\(586\) −957254. + 4.19400e6i −0.115155 + 0.504527i
\(587\) 1.99776e6 + 962070.i 0.239303 + 0.115242i 0.549692 0.835367i \(-0.314745\pi\)
−0.310389 + 0.950610i \(0.600459\pi\)
\(588\) −1.38383e6 1.73527e6i −0.165059 0.206977i
\(589\) 2.84481e6 + 3.56728e6i 0.337882 + 0.423691i
\(590\) −1.07487e7 + 5.17628e6i −1.27123 + 0.612193i
\(591\) −1.42859e6 + 1.79140e6i −0.168244 + 0.210971i
\(592\) −713229. −0.0836420
\(593\) 4.19945e6 5.26595e6i 0.490406 0.614950i −0.473629 0.880724i \(-0.657056\pi\)
0.964035 + 0.265775i \(0.0856277\pi\)
\(594\) −507322. + 2.22272e6i −0.0589953 + 0.258475i
\(595\) −4.66334e6 + 2.04314e7i −0.540014 + 2.36596i
\(596\) 790002. 990631.i 0.0910987 0.114234i
\(597\) 480414. 0.0551671
\(598\) −2.71142e6 + 3.40002e6i −0.310059 + 0.388802i
\(599\) −4.19619e6 + 2.02078e6i −0.477847 + 0.230119i −0.657273 0.753653i \(-0.728290\pi\)
0.179426 + 0.983771i \(0.442576\pi\)
\(600\) 5.32282e6 + 6.67460e6i 0.603620 + 0.756915i
\(601\) −295737. 370843.i −0.0333980 0.0418797i 0.764852 0.644206i \(-0.222812\pi\)
−0.798250 + 0.602326i \(0.794241\pi\)
\(602\) −8.42731e6 4.05838e6i −0.947759 0.456417i
\(603\) −1.91146e6 + 8.37467e6i −0.214078 + 0.937938i
\(604\) −153068. 670636.i −0.0170723 0.0747987i
\(605\) 1.05870e7 5.09842e6i 1.17594 0.566301i
\(606\) 2.93086e6 + 1.41143e6i 0.324200 + 0.156126i
\(607\) −442013. 1.93659e6i −0.0486927 0.213336i 0.944729 0.327853i \(-0.106325\pi\)
−0.993421 + 0.114517i \(0.963468\pi\)
\(608\) 5.40447e6 0.592918
\(609\) −5.37535e6 + 2.12444e6i −0.587305 + 0.232114i
\(610\) 1.37702e7 1.49836
\(611\) −1.17385e6 5.14295e6i −0.127206 0.557326i
\(612\) 3.75864e6 + 1.81007e6i 0.405651 + 0.195351i
\(613\) −8.18883e6 + 3.94353e6i −0.880178 + 0.423871i −0.818690 0.574236i \(-0.805299\pi\)
−0.0614885 + 0.998108i \(0.519585\pi\)
\(614\) 520863. + 2.28205e6i 0.0557574 + 0.244289i
\(615\) 23322.0 102180.i 0.00248644 0.0108938i
\(616\) 6.32941e6 + 3.04808e6i 0.672065 + 0.323649i
\(617\) 9.57185e6 + 1.20027e7i 1.01224 + 1.26931i 0.962710 + 0.270534i \(0.0872003\pi\)
0.0495281 + 0.998773i \(0.484228\pi\)
\(618\) −352173. 441611.i −0.0370924 0.0465124i
\(619\) 1.08689e7 5.23418e6i 1.14014 0.549063i 0.234083 0.972217i \(-0.424791\pi\)
0.906058 + 0.423153i \(0.139077\pi\)
\(620\) 5.45775e6 6.84380e6i 0.570209 0.715020i
\(621\) −1.10703e7 −1.15194
\(622\) 2.09281e6 2.62430e6i 0.216897 0.271981i
\(623\) 4.69970e6 2.05907e7i 0.485121 2.12545i
\(624\) 40773.3 178640.i 0.00419193 0.0183661i
\(625\) 8.62404e6 1.08142e7i 0.883102 1.10737i
\(626\) 1.00168e7 1.02162
\(627\) −851839. + 1.06817e6i −0.0865344 + 0.108511i
\(628\) −6.83624e6 + 3.29216e6i −0.691701 + 0.333106i
\(629\) −6.27369e6 7.86695e6i −0.632261 0.792830i
\(630\) −8.12419e6 1.01874e7i −0.815509 1.02262i
\(631\) −1.12042e7 5.39567e6i −1.12023 0.539475i −0.220268 0.975439i \(-0.570693\pi\)
−0.899964 + 0.435964i \(0.856407\pi\)
\(632\) −695663. + 3.04790e6i −0.0692797 + 0.303534i
\(633\) 1.14603e6 + 5.02107e6i 0.113680 + 0.498066i
\(634\) 5.34584e6 2.57442e6i 0.528194 0.254365i
\(635\) 1.76093e7 + 8.48021e6i 1.73304 + 0.834589i
\(636\) −385729. 1.68999e6i −0.0378128 0.165669i
\(637\) 5.60878e6 0.547671
\(638\) 2.31122e6 2.50281e6i 0.224796 0.243431i
\(639\) 6.25278e6 0.605788
\(640\) −2.09749e6 9.18970e6i −0.202418 0.886852i
\(641\) −1.17892e7 5.67739e6i −1.13329 0.545762i −0.229315 0.973352i \(-0.573648\pi\)
−0.903973 + 0.427590i \(0.859363\pi\)
\(642\) −312267. + 150380.i −0.0299012 + 0.0143997i
\(643\) −1.65091e6 7.23311e6i −0.157469 0.689918i −0.990594 0.136833i \(-0.956308\pi\)
0.833125 0.553085i \(-0.186550\pi\)
\(644\) −2.79219e6 + 1.22334e7i −0.265295 + 1.16233i
\(645\) −8.54770e6 4.11636e6i −0.809003 0.389595i
\(646\) −2.51439e6 3.15295e6i −0.237057 0.297260i
\(647\) −8.10875e6 1.01681e7i −0.761541 0.954942i 0.238327 0.971185i \(-0.423401\pi\)
−0.999868 + 0.0162429i \(0.994829\pi\)
\(648\) −4.41322e6 + 2.12530e6i −0.412875 + 0.198830i
\(649\) −4.22668e6 + 5.30009e6i −0.393902 + 0.493937i
\(650\) −7.93601e6 −0.736748
\(651\) 3.78038e6 4.74044e6i 0.349609 0.438396i
\(652\) −555831. + 2.43525e6i −0.0512063 + 0.224350i
\(653\) −2.29681e6 + 1.00630e7i −0.210786 + 0.923513i 0.753249 + 0.657736i \(0.228486\pi\)
−0.964034 + 0.265777i \(0.914371\pi\)
\(654\) −3.14594e6 + 3.94489e6i −0.287612 + 0.360653i
\(655\) 2.29007e7 2.08567
\(656\) 7768.93 9741.93i 0.000704858 0.000883864i
\(657\) −3.19038e6 + 1.53641e6i −0.288356 + 0.138865i
\(658\) 6.81845e6 + 8.55006e6i 0.613932 + 0.769847i
\(659\) 4.95822e6 + 6.21742e6i 0.444747 + 0.557694i 0.952787 0.303639i \(-0.0982015\pi\)
−0.508041 + 0.861333i \(0.669630\pi\)
\(660\) 2.36156e6 + 1.13727e6i 0.211027 + 0.101625i
\(661\) −3.69734e6 + 1.61991e7i −0.329144 + 1.44207i 0.491622 + 0.870809i \(0.336404\pi\)
−0.820766 + 0.571265i \(0.806453\pi\)
\(662\) −1.08560e6 4.75633e6i −0.0962777 0.421820i
\(663\) 2.32905e6 1.12161e6i 0.205776 0.0990967i
\(664\) 1.71087e7 + 8.23913e6i 1.50590 + 0.725205i
\(665\) −3.90116e6 1.70921e7i −0.342090 1.49879i
\(666\) 6.25630e6 0.546553
\(667\) 1.43452e7 + 8.23680e6i 1.24851 + 0.716876i
\(668\) −2.32029e6 −0.201187
\(669\) 987006. + 4.32435e6i 0.0852618 + 0.373556i
\(670\) −1.43532e7 6.91212e6i −1.23527 0.594873i
\(671\) 7.04978e6 3.39500e6i 0.604463 0.291094i
\(672\) −1.59811e6 7.00177e6i −0.136516 0.598115i
\(673\) 2.64153e6 1.15733e7i 0.224811 0.984961i −0.728991 0.684524i \(-0.760010\pi\)
0.953802 0.300437i \(-0.0971326\pi\)
\(674\) −8.29001e6 3.99226e6i −0.702919 0.338508i
\(675\) −1.25957e7 1.57945e7i −1.06405 1.33428i
\(676\) 3.08054e6 + 3.86288e6i 0.259275 + 0.325121i
\(677\) 4.63184e6 2.23057e6i 0.388402 0.187045i −0.229484 0.973313i \(-0.573704\pi\)
0.617886 + 0.786268i \(0.287989\pi\)
\(678\) −1.71483e6 + 2.15033e6i −0.143267 + 0.179651i
\(679\) 1.72537e7 1.43618
\(680\) −1.31135e7 + 1.64438e7i −1.08754 + 1.36374i
\(681\) 1.83415e6 8.03593e6i 0.151554 0.664000i
\(682\) −795227. + 3.48412e6i −0.0654682 + 0.286835i
\(683\) −3.60300e6 + 4.51801e6i −0.295537 + 0.370592i −0.907325 0.420430i \(-0.861879\pi\)
0.611788 + 0.791022i \(0.290451\pi\)
\(684\) −3.48994e6 −0.285218
\(685\) 1.98513e6 2.48927e6i 0.161645 0.202696i
\(686\) −257461. + 123987.i −0.0208882 + 0.0100592i
\(687\) 2.09359e6 + 2.62528e6i 0.169239 + 0.212219i
\(688\) −703244. 881840.i −0.0566415 0.0710262i
\(689\) 3.94672e6 + 1.90064e6i 0.316729 + 0.152529i
\(690\) 2.03477e6 8.91491e6i 0.162702 0.712843i
\(691\) 2.49779e6 + 1.09435e7i 0.199004 + 0.871892i 0.971531 + 0.236911i \(0.0761349\pi\)
−0.772528 + 0.634981i \(0.781008\pi\)
\(692\) 1.26180e6 607651.i 0.100167 0.0482380i
\(693\) −6.67093e6 3.21255e6i −0.527659 0.254107i
\(694\) −1.14047e6 4.99674e6i −0.0898848 0.393811i
\(695\) −1.79133e7 −1.40674
\(696\) −5.78556e6 419733.i −0.452712 0.0328435i
\(697\) 175791. 0.0137061
\(698\) 491387. + 2.15291e6i 0.0381755 + 0.167258i
\(699\) 8.33964e6 + 4.01616e6i 0.645587 + 0.310898i
\(700\) −2.06309e7 + 9.93530e6i −1.59137 + 0.766366i
\(701\) −1.54227e6 6.75712e6i −0.118540 0.519358i −0.998978 0.0451967i \(-0.985609\pi\)
0.880438 0.474161i \(-0.157249\pi\)
\(702\) −803011. + 3.51822e6i −0.0615005 + 0.269451i
\(703\) 7.58403e6 + 3.65227e6i 0.578777 + 0.278724i
\(704\) 2.97313e6 + 3.72818e6i 0.226090 + 0.283508i
\(705\) 6.91585e6 + 8.67221e6i 0.524050 + 0.657138i
\(706\) −1.41666e7 + 6.82229e6i −1.06968 + 0.515132i
\(707\) −1.47889e7 + 1.85446e7i −1.11272 + 1.39531i
\(708\) 4.24613e6 0.318354
\(709\) 6.64956e6 8.33828e6i 0.496795 0.622961i −0.468708 0.883353i \(-0.655280\pi\)
0.965503 + 0.260392i \(0.0838518\pi\)
\(710\) −2.58040e6 + 1.13055e7i −0.192106 + 0.841672i
\(711\) 733200. 3.21236e6i 0.0543937 0.238314i
\(712\) 1.32157e7 1.65720e7i 0.976992 1.22511i
\(713\) −1.73526e7 −1.27833
\(714\) −3.34130e6 + 4.18985e6i −0.245284 + 0.307577i
\(715\) −5.96779e6 + 2.87394e6i −0.436564 + 0.210238i
\(716\) −37898.4 47523.1i −0.00276273 0.00346435i
\(717\) −4.12931e6 5.17799e6i −0.299971 0.376152i
\(718\) 2.34362e6 + 1.12863e6i 0.169659 + 0.0817034i
\(719\) 2.97772e6 1.30463e7i 0.214814 0.941160i −0.746431 0.665463i \(-0.768234\pi\)
0.961245 0.275697i \(-0.0889087\pi\)
\(720\) −349638. 1.53186e6i −0.0251355 0.110126i
\(721\) 3.71071e6 1.78698e6i 0.265839 0.128021i
\(722\) −5.12038e6 2.46584e6i −0.365560 0.176045i
\(723\) 1.23677e6 + 5.41865e6i 0.0879922 + 0.385519i
\(724\) 2.38049e6 0.168779
\(725\) 4.57009e6 + 2.98388e7i 0.322909 + 2.10832i
\(726\) 3.00484e6 0.211583
\(727\) 465418. + 2.03913e6i 0.0326594 + 0.143090i 0.988629 0.150376i \(-0.0480484\pi\)
−0.955970 + 0.293466i \(0.905191\pi\)
\(728\) 1.00185e7 + 4.82464e6i 0.700604 + 0.337393i
\(729\) 61115.0 29431.4i 0.00425921 0.00205113i
\(730\) −1.46132e6 6.40248e6i −0.101494 0.444673i
\(731\) 3.54089e6 1.55136e7i 0.245086 1.07379i
\(732\) −4.41569e6 2.12648e6i −0.304594 0.146685i
\(733\) 6.97499e6 + 8.74636e6i 0.479495 + 0.601267i 0.961467 0.274919i \(-0.0886510\pi\)
−0.481973 + 0.876186i \(0.660080\pi\)
\(734\) −5.57252e6 6.98772e6i −0.381778 0.478735i
\(735\) −1.06256e7 + 5.11703e6i −0.725498 + 0.349381i
\(736\) −1.28152e7 + 1.60697e7i −0.872027 + 1.09349i
\(737\) −9.05240e6 −0.613896
\(738\) −68147.5 + 85454.3i −0.00460584 + 0.00577554i
\(739\) −3.24205e6 + 1.42044e7i −0.218378 + 0.956776i 0.740299 + 0.672278i \(0.234684\pi\)
−0.958677 + 0.284498i \(0.908173\pi\)
\(740\) 3.59353e6 1.57443e7i 0.241236 1.05692i
\(741\) −1.34833e6 + 1.69075e6i −0.0902091 + 0.113119i
\(742\) −9.08118e6 −0.605525
\(743\) 5.92342e6 7.42774e6i 0.393641 0.493611i −0.545033 0.838414i \(-0.683483\pi\)
0.938675 + 0.344804i \(0.112054\pi\)
\(744\) 5.48249e6 2.64023e6i 0.363116 0.174868i
\(745\) −4.19778e6 5.26385e6i −0.277095 0.347466i
\(746\) 9.04019e6 + 1.13360e7i 0.594745 + 0.745786i
\(747\) −1.80319e7 8.68370e6i −1.18233 0.569381i
\(748\) −978274. + 4.28610e6i −0.0639303 + 0.280097i
\(749\) −562352. 2.46382e6i −0.0366272 0.160474i
\(750\) 7.98566e6 3.84569e6i 0.518391 0.249644i
\(751\) 1.95071e7 + 9.39414e6i 1.26210 + 0.607795i 0.940729 0.339159i \(-0.110142\pi\)
0.321370 + 0.946954i \(0.395857\pi\)
\(752\) 293443. + 1.28566e6i 0.0189225 + 0.0829051i
\(753\) 3.96618e6 0.254909
\(754\) 3.65829e6 3.96156e6i 0.234342 0.253769i
\(755\) −3.65515e6 −0.233366
\(756\) 2.31700e6 + 1.01515e7i 0.147442 + 0.645987i
\(757\) 6.37155e6 + 3.06838e6i 0.404116 + 0.194612i 0.624890 0.780713i \(-0.285144\pi\)
−0.220774 + 0.975325i \(0.570858\pi\)
\(758\) −6.48378e6 + 3.12242e6i −0.409879 + 0.197387i
\(759\) −1.15622e6 5.06574e6i −0.0728512 0.319182i
\(760\) 3.91522e6 1.71537e7i 0.245880 1.07727i
\(761\) −4.29465e6 2.06820e6i −0.268823 0.129458i 0.294617 0.955616i \(-0.404808\pi\)
−0.563440 + 0.826157i \(0.690522\pi\)
\(762\) 3.11618e6 + 3.90756e6i 0.194417 + 0.243791i
\(763\) −2.29388e7 2.87644e7i −1.42646 1.78873i
\(764\) 1.37006e6 659788.i 0.0849195 0.0408951i
\(765\) 1.38211e7 1.73311e7i 0.853863 1.07071i
\(766\) −1.75898e6 −0.108315
\(767\) −6.69018e6 + 8.38922e6i −0.410629 + 0.514912i
\(768\) 1.67851e6 7.35402e6i 0.102688 0.449906i