Properties

Label 138.5.h.a.19.3
Level $138$
Weight $5$
Character 138.19
Analytic conductor $14.265$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 138.h (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(14.2650549056\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 138.19
Dual form 138.5.h.a.109.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17497 - 2.57283i) q^{2} +(-4.98567 + 1.46393i) q^{3} +(-5.23889 + 6.04600i) q^{4} +(7.54204 - 11.7356i) q^{5} +(9.62445 + 11.1072i) q^{6} +(-12.2007 + 1.75419i) q^{7} +(21.7108 + 6.37488i) q^{8} +(22.7138 - 14.5973i) q^{9} +O(q^{10})\) \(q+(-1.17497 - 2.57283i) q^{2} +(-4.98567 + 1.46393i) q^{3} +(-5.23889 + 6.04600i) q^{4} +(7.54204 - 11.7356i) q^{5} +(9.62445 + 11.1072i) q^{6} +(-12.2007 + 1.75419i) q^{7} +(21.7108 + 6.37488i) q^{8} +(22.7138 - 14.5973i) q^{9} +(-39.0554 - 5.61533i) q^{10} +(-144.954 - 66.1982i) q^{11} +(17.2685 - 37.8127i) q^{12} +(-20.3922 + 141.831i) q^{13} +(18.8487 + 29.3291i) q^{14} +(-20.4220 + 69.5510i) q^{15} +(-9.10815 - 63.3486i) q^{16} +(-64.5945 + 55.9715i) q^{17} +(-64.2445 - 41.2874i) q^{18} +(355.496 + 308.039i) q^{19} +(31.4418 + 107.081i) q^{20} +(58.2605 - 26.6067i) q^{21} +450.722i q^{22} +(515.098 - 120.478i) q^{23} -117.576 q^{24} +(178.792 + 391.499i) q^{25} +(388.867 - 114.182i) q^{26} +(-91.8744 + 106.029i) q^{27} +(53.3120 - 82.9552i) q^{28} +(818.014 + 944.038i) q^{29} +(202.938 - 29.1781i) q^{30} +(-1005.38 - 295.208i) q^{31} +(-152.283 + 97.8664i) q^{32} +(819.601 + 117.841i) q^{33} +(219.902 + 100.426i) q^{34} +(-71.4313 + 156.413i) q^{35} +(-30.7400 + 213.801i) q^{36} +(1052.14 + 1637.16i) q^{37} +(374.833 - 1276.57i) q^{38} +(-105.961 - 736.976i) q^{39} +(238.557 - 206.711i) q^{40} +(1218.06 + 782.802i) q^{41} +(-136.909 - 118.632i) q^{42} +(-170.993 - 582.349i) q^{43} +(1159.63 - 529.585i) q^{44} -376.655i q^{45} +(-915.195 - 1183.70i) q^{46} +4020.99 q^{47} +(138.148 + 302.502i) q^{48} +(-2157.96 + 633.635i) q^{49} +(797.184 - 920.000i) q^{50} +(240.109 - 373.617i) q^{51} +(-750.678 - 866.328i) q^{52} +(-3676.46 + 528.595i) q^{53} +(380.743 + 111.796i) q^{54} +(-1870.12 + 1201.86i) q^{55} +(-276.069 - 39.6928i) q^{56} +(-2223.33 - 1015.36i) q^{57} +(1467.71 - 3213.83i) q^{58} +(-510.720 + 3552.14i) q^{59} +(-313.517 - 487.841i) q^{60} +(146.583 - 499.217i) q^{61} +(421.780 + 2933.54i) q^{62} +(-251.517 + 217.941i) q^{63} +(430.722 + 276.808i) q^{64} +(1510.68 + 1309.01i) q^{65} +(-659.823 - 2247.15i) q^{66} +(1143.96 - 522.430i) q^{67} -683.766i q^{68} +(-2391.74 + 1354.73i) q^{69} +486.353 q^{70} +(330.477 + 723.644i) q^{71} +(586.193 - 172.122i) q^{72} +(-5895.70 + 6804.00i) q^{73} +(2975.90 - 4630.60i) q^{74} +(-1464.52 - 1690.15i) q^{75} +(-3724.80 + 535.546i) q^{76} +(1884.66 + 553.385i) q^{77} +(-1771.61 + 1138.55i) q^{78} +(-8771.06 - 1261.09i) q^{79} +(-812.130 - 370.887i) q^{80} +(302.838 - 663.122i) q^{81} +(582.825 - 4053.64i) q^{82} +(-3239.40 - 5040.61i) q^{83} +(-144.356 + 491.632i) q^{84} +(169.687 + 1180.20i) q^{85} +(-1297.37 + 1124.18i) q^{86} +(-5460.35 - 3509.15i) q^{87} +(-2725.06 - 2361.28i) q^{88} +(-208.821 - 711.179i) q^{89} +(-969.068 + 442.559i) q^{90} -1766.20i q^{91} +(-1970.13 + 3745.45i) q^{92} +5444.68 q^{93} +(-4724.55 - 10345.3i) q^{94} +(6296.19 - 1848.73i) q^{95} +(615.965 - 710.861i) q^{96} +(1095.34 - 1704.39i) q^{97} +(4165.78 + 4807.57i) q^{98} +(-4258.77 + 612.319i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 128 q^{4} - 432 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 128 q^{4} - 432 q^{9} + 208 q^{13} - 1024 q^{16} - 1980 q^{17} - 3828 q^{19} - 3168 q^{20} + 3120 q^{23} + 9768 q^{25} + 4416 q^{26} + 5280 q^{28} - 828 q^{29} - 7748 q^{31} + 16464 q^{35} - 3456 q^{36} - 3520 q^{37} - 9072 q^{39} - 5472 q^{41} - 7216 q^{43} - 1280 q^{46} + 6960 q^{47} + 13888 q^{49} - 7296 q^{50} + 17424 q^{51} + 1664 q^{52} + 14784 q^{53} + 37316 q^{55} - 15840 q^{57} - 9984 q^{58} - 29808 q^{59} - 44968 q^{61} - 8192 q^{64} - 5852 q^{67} - 10584 q^{69} + 4352 q^{70} + 30048 q^{71} + 17084 q^{73} + 4176 q^{75} - 14160 q^{77} - 6912 q^{78} + 28424 q^{79} - 11664 q^{81} - 128 q^{82} - 35904 q^{83} - 91892 q^{85} + 8064 q^{87} - 15312 q^{89} - 6720 q^{92} + 11952 q^{93} + 21248 q^{94} + 224268 q^{95} + 41712 q^{97} + 62976 q^{98} + 17820 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17497 2.57283i −0.293743 0.643207i
\(3\) −4.98567 + 1.46393i −0.553964 + 0.162658i
\(4\) −5.23889 + 6.04600i −0.327430 + 0.377875i
\(5\) 7.54204 11.7356i 0.301681 0.469426i −0.657007 0.753885i \(-0.728178\pi\)
0.958688 + 0.284459i \(0.0918140\pi\)
\(6\) 9.62445 + 11.1072i 0.267346 + 0.308533i
\(7\) −12.2007 + 1.75419i −0.248993 + 0.0357998i −0.265681 0.964061i \(-0.585597\pi\)
0.0166881 + 0.999861i \(0.494688\pi\)
\(8\) 21.7108 + 6.37488i 0.339232 + 0.0996075i
\(9\) 22.7138 14.5973i 0.280418 0.180214i
\(10\) −39.0554 5.61533i −0.390554 0.0561533i
\(11\) −144.954 66.1982i −1.19796 0.547092i −0.286345 0.958127i \(-0.592440\pi\)
−0.911620 + 0.411034i \(0.865168\pi\)
\(12\) 17.2685 37.8127i 0.119920 0.262588i
\(13\) −20.3922 + 141.831i −0.120664 + 0.839237i 0.836143 + 0.548512i \(0.184806\pi\)
−0.956807 + 0.290725i \(0.906104\pi\)
\(14\) 18.8487 + 29.3291i 0.0961666 + 0.149638i
\(15\) −20.4220 + 69.5510i −0.0907645 + 0.309116i
\(16\) −9.10815 63.3486i −0.0355787 0.247455i
\(17\) −64.5945 + 55.9715i −0.223510 + 0.193673i −0.759417 0.650605i \(-0.774516\pi\)
0.535906 + 0.844278i \(0.319970\pi\)
\(18\) −64.2445 41.2874i −0.198285 0.127430i
\(19\) 355.496 + 308.039i 0.984752 + 0.853293i 0.989181 0.146697i \(-0.0468644\pi\)
−0.00442911 + 0.999990i \(0.501410\pi\)
\(20\) 31.4418 + 107.081i 0.0786044 + 0.267702i
\(21\) 58.2605 26.6067i 0.132110 0.0603326i
\(22\) 450.722i 0.931244i
\(23\) 515.098 120.478i 0.973720 0.227747i
\(24\) −117.576 −0.204124
\(25\) 178.792 + 391.499i 0.286066 + 0.626398i
\(26\) 388.867 114.182i 0.575247 0.168908i
\(27\) −91.8744 + 106.029i −0.126028 + 0.145444i
\(28\) 53.3120 82.9552i 0.0680001 0.105810i
\(29\) 818.014 + 944.038i 0.972668 + 1.12252i 0.992442 + 0.122714i \(0.0391598\pi\)
−0.0197742 + 0.999804i \(0.506295\pi\)
\(30\) 202.938 29.1781i 0.225487 0.0324201i
\(31\) −1005.38 295.208i −1.04619 0.307188i −0.286910 0.957957i \(-0.592628\pi\)
−0.759275 + 0.650770i \(0.774446\pi\)
\(32\) −152.283 + 97.8664i −0.148714 + 0.0955727i
\(33\) 819.601 + 117.841i 0.752618 + 0.108210i
\(34\) 219.902 + 100.426i 0.190226 + 0.0868734i
\(35\) −71.4313 + 156.413i −0.0583113 + 0.127684i
\(36\) −30.7400 + 213.801i −0.0237191 + 0.164970i
\(37\) 1052.14 + 1637.16i 0.768547 + 1.19588i 0.976028 + 0.217644i \(0.0698371\pi\)
−0.207481 + 0.978239i \(0.566526\pi\)
\(38\) 374.833 1276.57i 0.259580 0.884048i
\(39\) −105.961 736.976i −0.0696654 0.484534i
\(40\) 238.557 206.711i 0.149098 0.129194i
\(41\) 1218.06 + 782.802i 0.724607 + 0.465677i 0.850237 0.526401i \(-0.176459\pi\)
−0.125630 + 0.992077i \(0.540095\pi\)
\(42\) −136.909 118.632i −0.0776127 0.0672518i
\(43\) −170.993 582.349i −0.0924787 0.314954i 0.900242 0.435389i \(-0.143389\pi\)
−0.992721 + 0.120435i \(0.961571\pi\)
\(44\) 1159.63 529.585i 0.598982 0.273546i
\(45\) 376.655i 0.186002i
\(46\) −915.195 1183.70i −0.432512 0.559404i
\(47\) 4020.99 1.82028 0.910138 0.414306i \(-0.135976\pi\)
0.910138 + 0.414306i \(0.135976\pi\)
\(48\) 138.148 + 302.502i 0.0599600 + 0.131294i
\(49\) −2157.96 + 633.635i −0.898777 + 0.263905i
\(50\) 797.184 920.000i 0.318874 0.368000i
\(51\) 240.109 373.617i 0.0923141 0.143644i
\(52\) −750.678 866.328i −0.277618 0.320388i
\(53\) −3676.46 + 528.595i −1.30881 + 0.188179i −0.761181 0.648539i \(-0.775380\pi\)
−0.547633 + 0.836718i \(0.684471\pi\)
\(54\) 380.743 + 111.796i 0.130570 + 0.0383389i
\(55\) −1870.12 + 1201.86i −0.618223 + 0.397308i
\(56\) −276.069 39.6928i −0.0880323 0.0126571i
\(57\) −2223.33 1015.36i −0.684312 0.312515i
\(58\) 1467.71 3213.83i 0.436298 0.955358i
\(59\) −510.720 + 3552.14i −0.146717 + 1.02044i 0.774830 + 0.632169i \(0.217835\pi\)
−0.921547 + 0.388267i \(0.873074\pi\)
\(60\) −313.517 487.841i −0.0870879 0.135511i
\(61\) 146.583 499.217i 0.0393935 0.134162i −0.937448 0.348124i \(-0.886819\pi\)
0.976842 + 0.213962i \(0.0686369\pi\)
\(62\) 421.780 + 2933.54i 0.109724 + 0.763148i
\(63\) −251.517 + 217.941i −0.0633705 + 0.0549108i
\(64\) 430.722 + 276.808i 0.105157 + 0.0675801i
\(65\) 1510.68 + 1309.01i 0.357557 + 0.309825i
\(66\) −659.823 2247.15i −0.151475 0.515875i
\(67\) 1143.96 522.430i 0.254837 0.116380i −0.283901 0.958854i \(-0.591629\pi\)
0.538738 + 0.842474i \(0.318901\pi\)
\(68\) 683.766i 0.147873i
\(69\) −2391.74 + 1354.73i −0.502360 + 0.284547i
\(70\) 486.353 0.0992556
\(71\) 330.477 + 723.644i 0.0655579 + 0.143552i 0.939575 0.342344i \(-0.111221\pi\)
−0.874017 + 0.485896i \(0.838494\pi\)
\(72\) 586.193 172.122i 0.113077 0.0332025i
\(73\) −5895.70 + 6804.00i −1.10634 + 1.27679i −0.148683 + 0.988885i \(0.547504\pi\)
−0.957660 + 0.287903i \(0.907042\pi\)
\(74\) 2975.90 4630.60i 0.543445 0.845617i
\(75\) −1464.52 1690.15i −0.260359 0.300471i
\(76\) −3724.80 + 535.546i −0.644876 + 0.0927191i
\(77\) 1884.66 + 553.385i 0.317871 + 0.0933353i
\(78\) −1771.61 + 1138.55i −0.291192 + 0.187138i
\(79\) −8771.06 1261.09i −1.40539 0.202065i −0.602468 0.798143i \(-0.705816\pi\)
−0.802926 + 0.596078i \(0.796725\pi\)
\(80\) −812.130 370.887i −0.126895 0.0579511i
\(81\) 302.838 663.122i 0.0461572 0.101070i
\(82\) 582.825 4053.64i 0.0866784 0.602861i
\(83\) −3239.40 5040.61i −0.470228 0.731690i 0.522425 0.852686i \(-0.325028\pi\)
−0.992653 + 0.120996i \(0.961391\pi\)
\(84\) −144.356 + 491.632i −0.0204586 + 0.0696757i
\(85\) 169.687 + 1180.20i 0.0234860 + 0.163349i
\(86\) −1297.37 + 1124.18i −0.175415 + 0.151998i
\(87\) −5460.35 3509.15i −0.721410 0.463622i
\(88\) −2725.06 2361.28i −0.351893 0.304917i
\(89\) −208.821 711.179i −0.0263630 0.0897840i 0.945261 0.326316i \(-0.105807\pi\)
−0.971624 + 0.236532i \(0.923989\pi\)
\(90\) −969.068 + 442.559i −0.119638 + 0.0546369i
\(91\) 1766.20i 0.213284i
\(92\) −1970.13 + 3745.45i −0.232766 + 0.442516i
\(93\) 5444.68 0.629515
\(94\) −4724.55 10345.3i −0.534693 1.17081i
\(95\) 6296.19 1848.73i 0.697639 0.204845i
\(96\) 615.965 710.861i 0.0668364 0.0771334i
\(97\) 1095.34 1704.39i 0.116414 0.181144i −0.778157 0.628070i \(-0.783845\pi\)
0.894571 + 0.446926i \(0.147481\pi\)
\(98\) 4165.78 + 4807.57i 0.433755 + 0.500580i
\(99\) −4258.77 + 612.319i −0.434524 + 0.0624751i
\(100\) −3303.67 970.045i −0.330367 0.0970045i
\(101\) 14954.5 9610.68i 1.46599 0.942131i 0.467682 0.883897i \(-0.345089\pi\)
0.998303 0.0582347i \(-0.0185472\pi\)
\(102\) −1243.37 178.770i −0.119509 0.0171828i
\(103\) −1540.74 703.631i −0.145229 0.0663240i 0.341475 0.939891i \(-0.389074\pi\)
−0.486704 + 0.873567i \(0.661801\pi\)
\(104\) −1346.89 + 2949.28i −0.124527 + 0.272677i
\(105\) 127.156 884.392i 0.0115335 0.0802170i
\(106\) 5679.72 + 8837.82i 0.505493 + 0.786562i
\(107\) −1162.65 + 3959.62i −0.101550 + 0.345848i −0.994557 0.104195i \(-0.966773\pi\)
0.893007 + 0.450043i \(0.148592\pi\)
\(108\) −159.730 1110.94i −0.0136943 0.0952456i
\(109\) 408.492 353.960i 0.0343819 0.0297921i −0.637500 0.770450i \(-0.720032\pi\)
0.671882 + 0.740658i \(0.265486\pi\)
\(110\) 5289.51 + 3399.36i 0.437150 + 0.280939i
\(111\) −7642.32 6622.10i −0.620268 0.537465i
\(112\) 222.251 + 756.917i 0.0177177 + 0.0603410i
\(113\) −7964.29 + 3637.17i −0.623721 + 0.284844i −0.702098 0.712080i \(-0.747753\pi\)
0.0783774 + 0.996924i \(0.475026\pi\)
\(114\) 6913.26i 0.531953i
\(115\) 2471.00 6953.66i 0.186843 0.525796i
\(116\) −9993.13 −0.742652
\(117\) 1607.17 + 3519.20i 0.117406 + 0.257082i
\(118\) 9739.12 2859.66i 0.699449 0.205377i
\(119\) 689.911 796.200i 0.0487191 0.0562248i
\(120\) −886.759 + 1379.82i −0.0615805 + 0.0958211i
\(121\) 7041.57 + 8126.41i 0.480949 + 0.555045i
\(122\) −1456.63 + 209.432i −0.0978655 + 0.0140709i
\(123\) −7218.83 2119.64i −0.477152 0.140104i
\(124\) 7051.92 4531.99i 0.458632 0.294745i
\(125\) 14573.1 + 2095.29i 0.932676 + 0.134099i
\(126\) 856.251 + 391.037i 0.0539337 + 0.0246307i
\(127\) 2141.02 4688.18i 0.132743 0.290667i −0.831575 0.555412i \(-0.812560\pi\)
0.964319 + 0.264745i \(0.0852877\pi\)
\(128\) 206.094 1433.41i 0.0125790 0.0874887i
\(129\) 1705.03 + 2653.08i 0.102460 + 0.159430i
\(130\) 1592.86 5424.77i 0.0942518 0.320992i
\(131\) 968.180 + 6733.84i 0.0564174 + 0.392392i 0.998391 + 0.0567048i \(0.0180594\pi\)
−0.941974 + 0.335687i \(0.891032\pi\)
\(132\) −5006.26 + 4337.95i −0.287320 + 0.248964i
\(133\) −4877.64 3134.67i −0.275744 0.177210i
\(134\) −2688.24 2329.38i −0.149713 0.129727i
\(135\) 551.395 + 1877.88i 0.0302548 + 0.103039i
\(136\) −1759.21 + 803.405i −0.0951131 + 0.0434367i
\(137\) 8305.68i 0.442521i 0.975215 + 0.221261i \(0.0710171\pi\)
−0.975215 + 0.221261i \(0.928983\pi\)
\(138\) 6295.71 + 4561.76i 0.330588 + 0.239538i
\(139\) 20281.8 1.04973 0.524863 0.851187i \(-0.324116\pi\)
0.524863 + 0.851187i \(0.324116\pi\)
\(140\) −571.450 1251.30i −0.0291556 0.0638419i
\(141\) −20047.3 + 5886.43i −1.00837 + 0.296083i
\(142\) 1473.51 1700.52i 0.0730763 0.0843346i
\(143\) 12344.9 19209.0i 0.603691 0.939362i
\(144\) −1131.60 1305.94i −0.0545717 0.0629791i
\(145\) 17248.4 2479.94i 0.820375 0.117952i
\(146\) 24432.8 + 7174.12i 1.14622 + 0.336560i
\(147\) 9831.30 6318.20i 0.454963 0.292387i
\(148\) −15410.3 2215.67i −0.703540 0.101154i
\(149\) 24000.4 + 10960.6i 1.08105 + 0.493698i 0.874643 0.484768i \(-0.161096\pi\)
0.206406 + 0.978466i \(0.433823\pi\)
\(150\) −2627.69 + 5753.83i −0.116786 + 0.255726i
\(151\) −5238.45 + 36434.2i −0.229746 + 1.59792i 0.469429 + 0.882970i \(0.344460\pi\)
−0.699175 + 0.714951i \(0.746449\pi\)
\(152\) 5754.40 + 8954.02i 0.249065 + 0.387553i
\(153\) −650.157 + 2214.23i −0.0277738 + 0.0945889i
\(154\) −790.652 5499.11i −0.0333383 0.231873i
\(155\) −11047.1 + 9572.36i −0.459817 + 0.398433i
\(156\) 5010.87 + 3220.29i 0.205904 + 0.132326i
\(157\) −10941.1 9480.48i −0.443874 0.384619i 0.404050 0.914737i \(-0.367602\pi\)
−0.847924 + 0.530118i \(0.822148\pi\)
\(158\) 7061.18 + 24048.2i 0.282855 + 0.963314i
\(159\) 17555.8 8017.47i 0.694427 0.317134i
\(160\) 2525.25i 0.0986427i
\(161\) −6073.19 + 2373.50i −0.234296 + 0.0915665i
\(162\) −2061.92 −0.0785674
\(163\) −9715.26 21273.5i −0.365662 0.800687i −0.999627 0.0273254i \(-0.991301\pi\)
0.633965 0.773362i \(-0.281426\pi\)
\(164\) −11114.1 + 3263.40i −0.413226 + 0.121334i
\(165\) 7564.40 8729.78i 0.277847 0.320653i
\(166\) −9162.42 + 14257.0i −0.332502 + 0.517383i
\(167\) −14392.9 16610.3i −0.516079 0.595587i 0.436566 0.899672i \(-0.356195\pi\)
−0.952645 + 0.304086i \(0.901649\pi\)
\(168\) 1434.50 206.250i 0.0508255 0.00730760i
\(169\) 7703.86 + 2262.06i 0.269734 + 0.0792010i
\(170\) 2837.07 1823.27i 0.0981683 0.0630890i
\(171\) 12571.2 + 1807.47i 0.429917 + 0.0618127i
\(172\) 4416.69 + 2017.04i 0.149293 + 0.0681800i
\(173\) −9931.04 + 21745.9i −0.331820 + 0.726584i −0.999846 0.0175536i \(-0.994412\pi\)
0.668026 + 0.744138i \(0.267139\pi\)
\(174\) −2612.69 + 18171.7i −0.0862959 + 0.600201i
\(175\) −2868.14 4462.91i −0.0936535 0.145728i
\(176\) −2873.30 + 9785.55i −0.0927589 + 0.315908i
\(177\) −2653.78 18457.5i −0.0847069 0.589149i
\(178\) −1584.38 + 1372.88i −0.0500058 + 0.0433302i
\(179\) −29962.1 19255.5i −0.935117 0.600963i −0.0181107 0.999836i \(-0.505765\pi\)
−0.917006 + 0.398873i \(0.869402\pi\)
\(180\) 2277.25 + 1973.25i 0.0702856 + 0.0609028i
\(181\) 13648.0 + 46480.9i 0.416593 + 1.41879i 0.854352 + 0.519694i \(0.173954\pi\)
−0.437759 + 0.899092i \(0.644228\pi\)
\(182\) −4544.14 + 2075.24i −0.137186 + 0.0626506i
\(183\) 2703.52i 0.0807286i
\(184\) 11951.2 + 668.001i 0.353002 + 0.0197306i
\(185\) 27148.4 0.793234
\(186\) −6397.34 14008.2i −0.184916 0.404909i
\(187\) 13068.4 3837.23i 0.373714 0.109732i
\(188\) −21065.5 + 24310.9i −0.596014 + 0.687836i
\(189\) 934.934 1454.79i 0.0261732 0.0407263i
\(190\) −12154.3 14026.8i −0.336684 0.388554i
\(191\) −6363.43 + 914.923i −0.174431 + 0.0250794i −0.228977 0.973432i \(-0.573538\pi\)
0.0545456 + 0.998511i \(0.482629\pi\)
\(192\) −2552.66 749.530i −0.0692454 0.0203323i
\(193\) −10651.2 + 6845.11i −0.285946 + 0.183766i −0.675749 0.737132i \(-0.736180\pi\)
0.389803 + 0.920898i \(0.372543\pi\)
\(194\) −5672.09 815.523i −0.150709 0.0216687i
\(195\) −9448.05 4314.78i −0.248469 0.113472i
\(196\) 7474.37 16366.6i 0.194564 0.426036i
\(197\) 6085.99 42329.0i 0.156819 1.09070i −0.747629 0.664117i \(-0.768808\pi\)
0.904448 0.426584i \(-0.140283\pi\)
\(198\) 6579.32 + 10237.6i 0.167823 + 0.261137i
\(199\) −15606.9 + 53152.2i −0.394104 + 1.34219i 0.488700 + 0.872452i \(0.337471\pi\)
−0.882804 + 0.469742i \(0.844347\pi\)
\(200\) 1385.96 + 9639.54i 0.0346489 + 0.240989i
\(201\) −4938.62 + 4279.34i −0.122240 + 0.105922i
\(202\) −42297.8 27183.1i −1.03661 0.666187i
\(203\) −11636.3 10082.9i −0.282374 0.244678i
\(204\) 1000.98 + 3409.03i 0.0240528 + 0.0819164i
\(205\) 18373.4 8390.84i 0.437201 0.199663i
\(206\) 4790.80i 0.112895i
\(207\) 9941.20 10255.6i 0.232005 0.239342i
\(208\) 9170.53 0.211967
\(209\) −31138.8 68184.5i −0.712869 1.56096i
\(210\) −2424.79 + 711.984i −0.0549840 + 0.0161448i
\(211\) −10674.6 + 12319.1i −0.239765 + 0.276704i −0.862860 0.505442i \(-0.831329\pi\)
0.623095 + 0.782146i \(0.285875\pi\)
\(212\) 16064.7 24997.1i 0.357438 0.556184i
\(213\) −2707.01 3124.06i −0.0596666 0.0688589i
\(214\) 11553.5 1661.14i 0.252282 0.0362726i
\(215\) −8123.87 2385.38i −0.175746 0.0516038i
\(216\) −2670.59 + 1716.29i −0.0572401 + 0.0367859i
\(217\) 12784.2 + 1838.09i 0.271490 + 0.0390344i
\(218\) −1390.64 635.086i −0.0292619 0.0133635i
\(219\) 19433.5 42553.4i 0.405193 0.887250i
\(220\) 2530.95 17603.1i 0.0522924 0.363701i
\(221\) −6621.27 10302.9i −0.135568 0.210948i
\(222\) −8058.03 + 27443.1i −0.163502 + 0.556837i
\(223\) −7562.06 52595.3i −0.152065 1.05764i −0.912751 0.408517i \(-0.866046\pi\)
0.760685 0.649121i \(-0.224863\pi\)
\(224\) 1686.28 1461.17i 0.0336073 0.0291209i
\(225\) 9775.87 + 6282.57i 0.193104 + 0.124100i
\(226\) 18715.6 + 16217.2i 0.366427 + 0.317511i
\(227\) −25382.0 86443.1i −0.492577 1.67756i −0.712200 0.701977i \(-0.752301\pi\)
0.219623 0.975585i \(-0.429517\pi\)
\(228\) 17786.6 8122.89i 0.342156 0.156257i
\(229\) 57476.7i 1.09603i 0.836470 + 0.548013i \(0.184616\pi\)
−0.836470 + 0.548013i \(0.815384\pi\)
\(230\) −20793.9 + 1812.89i −0.393080 + 0.0342702i
\(231\) −10206.4 −0.191271
\(232\) 11741.6 + 25710.6i 0.218149 + 0.477679i
\(233\) −316.096 + 92.8141i −0.00582247 + 0.00170963i −0.284642 0.958634i \(-0.591875\pi\)
0.278820 + 0.960343i \(0.410057\pi\)
\(234\) 7165.93 8269.92i 0.130870 0.151032i
\(235\) 30326.4 47188.9i 0.549143 0.854484i
\(236\) −18800.6 21697.1i −0.337558 0.389562i
\(237\) 45575.8 6552.81i 0.811405 0.116662i
\(238\) −2859.11 839.511i −0.0504751 0.0148208i
\(239\) 12756.2 8197.89i 0.223318 0.143518i −0.424198 0.905569i \(-0.639444\pi\)
0.647517 + 0.762051i \(0.275808\pi\)
\(240\) 4591.96 + 660.225i 0.0797216 + 0.0114622i
\(241\) 3715.18 + 1696.67i 0.0639655 + 0.0292121i 0.447141 0.894464i \(-0.352442\pi\)
−0.383175 + 0.923676i \(0.625170\pi\)
\(242\) 12634.2 27665.1i 0.215733 0.472390i
\(243\) −539.088 + 3749.44i −0.00912950 + 0.0634971i
\(244\) 2250.33 + 3501.58i 0.0377978 + 0.0588145i
\(245\) −8839.33 + 30104.0i −0.147261 + 0.501524i
\(246\) 3028.45 + 21063.3i 0.0500438 + 0.348062i
\(247\) −50938.8 + 44138.7i −0.834939 + 0.723479i
\(248\) −19945.8 12818.4i −0.324301 0.208416i
\(249\) 23529.7 + 20388.6i 0.379505 + 0.328843i
\(250\) −11732.1 39955.9i −0.187714 0.639294i
\(251\) −62797.0 + 28678.4i −0.996761 + 0.455206i −0.845895 0.533349i \(-0.820933\pi\)
−0.150866 + 0.988554i \(0.548206\pi\)
\(252\) 2662.44i 0.0419256i
\(253\) −82640.8 16634.7i −1.29108 0.259881i
\(254\) −14577.5 −0.225952
\(255\) −2573.72 5635.66i −0.0395805 0.0866692i
\(256\) −3930.08 + 1153.98i −0.0599683 + 0.0176083i
\(257\) −22096.3 + 25500.5i −0.334544 + 0.386085i −0.897951 0.440095i \(-0.854945\pi\)
0.563407 + 0.826180i \(0.309490\pi\)
\(258\) 4822.56 7504.04i 0.0724499 0.112734i
\(259\) −15708.7 18128.8i −0.234175 0.270253i
\(260\) −15828.6 + 2275.80i −0.234150 + 0.0336657i
\(261\) 32360.6 + 9501.94i 0.475047 + 0.139486i
\(262\) 16187.4 10403.0i 0.235817 0.151550i
\(263\) −38907.1 5593.99i −0.562493 0.0808742i −0.144797 0.989461i \(-0.546253\pi\)
−0.417695 + 0.908587i \(0.637162\pi\)
\(264\) 17043.0 + 7783.28i 0.244534 + 0.111675i
\(265\) −21524.6 + 47132.3i −0.306509 + 0.671161i
\(266\) −2333.88 + 16232.5i −0.0329849 + 0.229415i
\(267\) 2082.23 + 3240.01i 0.0292082 + 0.0454489i
\(268\) −2834.48 + 9653.34i −0.0394642 + 0.134403i
\(269\) 10429.8 + 72540.9i 0.144136 + 1.00249i 0.925591 + 0.378525i \(0.123569\pi\)
−0.781455 + 0.623961i \(0.785522\pi\)
\(270\) 4183.58 3625.09i 0.0573880 0.0497270i
\(271\) 62176.6 + 39958.5i 0.846620 + 0.544090i 0.890519 0.454946i \(-0.150342\pi\)
−0.0438987 + 0.999036i \(0.513978\pi\)
\(272\) 4134.05 + 3582.17i 0.0558776 + 0.0484182i
\(273\) 2585.59 + 8805.72i 0.0346924 + 0.118152i
\(274\) 21369.1 9758.94i 0.284633 0.129987i
\(275\) 68584.9i 0.906907i
\(276\) 4339.35 21557.7i 0.0569648 0.282999i
\(277\) 86588.2 1.12849 0.564247 0.825606i \(-0.309167\pi\)
0.564247 + 0.825606i \(0.309167\pi\)
\(278\) −23830.5 52181.5i −0.308350 0.675191i
\(279\) −27145.4 + 7970.60i −0.348729 + 0.102396i
\(280\) −2547.95 + 2940.49i −0.0324993 + 0.0375062i
\(281\) 51866.1 80705.2i 0.656857 1.02209i −0.339809 0.940495i \(-0.610362\pi\)
0.996666 0.0815948i \(-0.0260013\pi\)
\(282\) 38699.8 + 44661.9i 0.486643 + 0.561616i
\(283\) −54337.7 + 7812.59i −0.678467 + 0.0975488i −0.472929 0.881100i \(-0.656803\pi\)
−0.205538 + 0.978649i \(0.565894\pi\)
\(284\) −6106.48 1793.03i −0.0757102 0.0222305i
\(285\) −28684.3 + 18434.3i −0.353147 + 0.226954i
\(286\) −63926.4 9191.23i −0.781534 0.112368i
\(287\) −16234.4 7413.99i −0.197093 0.0900095i
\(288\) −2030.35 + 4445.85i −0.0244786 + 0.0536006i
\(289\) −10846.6 + 75440.0i −0.129867 + 0.903246i
\(290\) −26646.8 41463.2i −0.316847 0.493023i
\(291\) −2965.92 + 10101.0i −0.0350247 + 0.119283i
\(292\) −10250.1 71290.8i −0.120216 0.836118i
\(293\) −118965. + 103084.i −1.38575 + 1.20076i −0.431369 + 0.902176i \(0.641969\pi\)
−0.954383 + 0.298585i \(0.903485\pi\)
\(294\) −27807.1 17870.6i −0.321708 0.206749i
\(295\) 37834.7 + 32784.0i 0.434757 + 0.376719i
\(296\) 12406.2 + 42251.5i 0.141597 + 0.482235i
\(297\) 20336.4 9287.34i 0.230548 0.105288i
\(298\) 74627.2i 0.840358i
\(299\) 6583.58 + 75513.7i 0.0736410 + 0.844663i
\(300\) 17891.1 0.198790
\(301\) 3107.78 + 6805.09i 0.0343018 + 0.0751105i
\(302\) 99893.9 29331.5i 1.09528 0.321603i
\(303\) −60489.0 + 69808.0i −0.658857 + 0.760361i
\(304\) 16275.9 25325.8i 0.176116 0.274041i
\(305\) −4753.09 5485.36i −0.0510948 0.0589665i
\(306\) 6460.75 928.916i 0.0689986 0.00992050i
\(307\) 171789. + 50441.7i 1.82271 + 0.535196i 0.999472 0.0325009i \(-0.0103472\pi\)
0.823238 + 0.567697i \(0.192165\pi\)
\(308\) −13219.3 + 8495.50i −0.139350 + 0.0895545i
\(309\) 8711.68 + 1252.55i 0.0912399 + 0.0131183i
\(310\) 37608.1 + 17175.0i 0.391343 + 0.178720i
\(311\) 27724.6 60708.5i 0.286645 0.627666i −0.710457 0.703741i \(-0.751512\pi\)
0.997102 + 0.0760750i \(0.0242388\pi\)
\(312\) 2397.63 16675.9i 0.0246305 0.171309i
\(313\) 41664.3 + 64831.0i 0.425281 + 0.661750i 0.986093 0.166193i \(-0.0531475\pi\)
−0.560812 + 0.827943i \(0.689511\pi\)
\(314\) −11536.2 + 39288.7i −0.117005 + 0.398482i
\(315\) 660.724 + 4595.44i 0.00665885 + 0.0463133i
\(316\) 53575.1 46423.1i 0.536524 0.464901i
\(317\) −31838.8 20461.5i −0.316838 0.203620i 0.372549 0.928012i \(-0.378484\pi\)
−0.689387 + 0.724393i \(0.742120\pi\)
\(318\) −41255.1 35747.8i −0.407966 0.353504i
\(319\) −56080.6 190993.i −0.551101 1.87688i
\(320\) 6497.04 2967.10i 0.0634476 0.0289756i
\(321\) 21443.4i 0.208105i
\(322\) 13242.4 + 12836.5i 0.127719 + 0.123804i
\(323\) −40204.4 −0.385362
\(324\) 2422.70 + 5304.97i 0.0230786 + 0.0505351i
\(325\) −59172.7 + 17374.7i −0.560215 + 0.164494i
\(326\) −43317.8 + 49991.4i −0.407597 + 0.470392i
\(327\) −1518.43 + 2362.73i −0.0142004 + 0.0220962i
\(328\) 21454.9 + 24760.3i 0.199425 + 0.230149i
\(329\) −49058.7 + 7053.58i −0.453236 + 0.0651655i
\(330\) −31348.2 9204.65i −0.287862 0.0845239i
\(331\) −119419. + 76746.2i −1.08998 + 0.700489i −0.956842 0.290609i \(-0.906142\pi\)
−0.133140 + 0.991097i \(0.542506\pi\)
\(332\) 47446.4 + 6821.76i 0.430454 + 0.0618900i
\(333\) 47796.3 + 21827.9i 0.431029 + 0.196844i
\(334\) −25824.2 + 56547.1i −0.231491 + 0.506895i
\(335\) 2496.75 17365.3i 0.0222477 0.154736i
\(336\) −2216.14 3448.38i −0.0196299 0.0305448i
\(337\) 3824.53 13025.1i 0.0336758 0.114689i −0.940940 0.338574i \(-0.890056\pi\)
0.974616 + 0.223884i \(0.0718738\pi\)
\(338\) −3231.93 22478.6i −0.0282897 0.196759i
\(339\) 34382.8 29792.9i 0.299186 0.259247i
\(340\) −8024.43 5156.99i −0.0694155 0.0446106i
\(341\) 126192. + 109346.i 1.08523 + 0.940360i
\(342\) −10120.5 34467.3i −0.0865266 0.294683i
\(343\) 52137.6 23810.5i 0.443163 0.202386i
\(344\) 13733.4i 0.116054i
\(345\) −2139.95 + 38286.0i −0.0179790 + 0.321664i
\(346\) 67617.2 0.564814
\(347\) 53332.5 + 116782.i 0.442928 + 0.969877i 0.991052 + 0.133479i \(0.0426150\pi\)
−0.548124 + 0.836397i \(0.684658\pi\)
\(348\) 49822.5 14629.2i 0.411402 0.120799i
\(349\) 83462.5 96320.8i 0.685236 0.790805i −0.301443 0.953484i \(-0.597468\pi\)
0.986679 + 0.162679i \(0.0520136\pi\)
\(350\) −8112.32 + 12623.0i −0.0662230 + 0.103045i
\(351\) −13164.6 15192.8i −0.106855 0.123317i
\(352\) 28552.6 4105.24i 0.230441 0.0331324i
\(353\) 184119. + 54062.3i 1.47758 + 0.433856i 0.918554 0.395296i \(-0.129358\pi\)
0.559024 + 0.829152i \(0.311176\pi\)
\(354\) −44369.7 + 28514.7i −0.354063 + 0.227542i
\(355\) 10984.9 + 1579.39i 0.0871644 + 0.0125324i
\(356\) 5393.77 + 2463.25i 0.0425591 + 0.0194361i
\(357\) −2274.09 + 4979.57i −0.0178432 + 0.0390711i
\(358\) −14336.4 + 99711.9i −0.111860 + 0.778002i
\(359\) 49990.8 + 77787.2i 0.387883 + 0.603558i 0.979204 0.202878i \(-0.0650296\pi\)
−0.591321 + 0.806436i \(0.701393\pi\)
\(360\) 2401.13 8177.50i 0.0185272 0.0630980i
\(361\) 12942.7 + 90018.3i 0.0993138 + 0.690743i
\(362\) 103551. 89727.7i 0.790202 0.684714i
\(363\) −47003.4 30207.3i −0.356711 0.229244i
\(364\) 10678.5 + 9252.95i 0.0805947 + 0.0698357i
\(365\) 35383.7 + 120506.i 0.265594 + 0.904529i
\(366\) 6955.69 3176.56i 0.0519252 0.0237134i
\(367\) 58681.6i 0.435682i 0.975984 + 0.217841i \(0.0699015\pi\)
−0.975984 + 0.217841i \(0.930099\pi\)
\(368\) −12323.7 31533.4i −0.0910010 0.232849i
\(369\) 39093.7 0.287114
\(370\) −31898.6 69848.3i −0.233007 0.510214i
\(371\) 43928.0 12898.4i 0.319149 0.0937106i
\(372\) −28524.1 + 32918.5i −0.206122 + 0.237878i
\(373\) 74033.8 115199.i 0.532124 0.828000i −0.466271 0.884642i \(-0.654403\pi\)
0.998395 + 0.0566415i \(0.0180392\pi\)
\(374\) −25227.6 29114.2i −0.180357 0.208143i
\(375\) −75723.8 + 10887.4i −0.538481 + 0.0774218i
\(376\) 87299.1 + 25633.3i 0.617496 + 0.181313i
\(377\) −150575. + 96768.7i −1.05943 + 0.680851i
\(378\) −4841.43 696.093i −0.0338837 0.00487174i
\(379\) 117111. + 53482.7i 0.815302 + 0.372336i 0.779015 0.627005i \(-0.215720\pi\)
0.0362871 + 0.999341i \(0.488447\pi\)
\(380\) −21807.6 + 47752.0i −0.151022 + 0.330693i
\(381\) −3811.27 + 26508.0i −0.0262555 + 0.182611i
\(382\) 9830.79 + 15297.0i 0.0673692 + 0.104829i
\(383\) 13426.0 45724.9i 0.0915272 0.311713i −0.900986 0.433847i \(-0.857156\pi\)
0.992514 + 0.122134i \(0.0389739\pi\)
\(384\) 1070.90 + 7448.24i 0.00726247 + 0.0505116i
\(385\) 20708.5 17944.0i 0.139710 0.121059i
\(386\) 30126.1 + 19360.9i 0.202194 + 0.129942i
\(387\) −12384.6 10731.3i −0.0826916 0.0716527i
\(388\) 4566.34 + 15551.5i 0.0303323 + 0.103302i
\(389\) 252301. 115222.i 1.66732 0.761442i 0.667466 0.744641i \(-0.267379\pi\)
0.999859 0.0168010i \(-0.00534819\pi\)
\(390\) 29377.9i 0.193149i
\(391\) −26529.1 + 36613.0i −0.173528 + 0.239487i
\(392\) −50890.6 −0.331181
\(393\) −14684.9 32155.4i −0.0950790 0.208194i
\(394\) −116056. + 34077.1i −0.747611 + 0.219518i
\(395\) −80951.4 + 93422.9i −0.518836 + 0.598768i
\(396\) 18609.1 28956.4i 0.118669 0.184652i
\(397\) −107945. 124575.i −0.684888 0.790403i 0.301740 0.953390i \(-0.402433\pi\)
−0.986628 + 0.162987i \(0.947887\pi\)
\(398\) 155089. 22298.5i 0.979074 0.140770i
\(399\) 28907.2 + 8487.93i 0.181577 + 0.0533158i
\(400\) 23172.4 14892.0i 0.144828 0.0930751i
\(401\) −119803. 17225.1i −0.745038 0.107120i −0.240668 0.970608i \(-0.577366\pi\)
−0.504371 + 0.863487i \(0.668275\pi\)
\(402\) 16812.7 + 7678.12i 0.104037 + 0.0475119i
\(403\) 62371.6 136575.i 0.384041 0.840932i
\(404\) −20238.8 + 140764.i −0.124000 + 0.862441i
\(405\) −5498.14 8555.28i −0.0335202 0.0521584i
\(406\) −12269.3 + 41785.4i −0.0744334 + 0.253497i
\(407\) −44134.6 306963.i −0.266434 1.85309i
\(408\) 7594.73 6580.87i 0.0456239 0.0395333i
\(409\) −176437. 113389.i −1.05473 0.677836i −0.106145 0.994351i \(-0.533851\pi\)
−0.948587 + 0.316515i \(0.897487\pi\)
\(410\) −43176.4 37412.5i −0.256849 0.222561i
\(411\) −12158.9 41409.4i −0.0719798 0.245141i
\(412\) 12325.9 5629.05i 0.0726147 0.0331620i
\(413\) 44234.3i 0.259334i
\(414\) −38066.4 13527.0i −0.222096 0.0789225i
\(415\) −83586.5 −0.485333
\(416\) −10775.1 23594.2i −0.0622637 0.136339i
\(417\) −101118. + 29691.0i −0.581510 + 0.170747i
\(418\) −138840. + 160230.i −0.794623 + 0.917044i
\(419\) 99107.4 154214.i 0.564519 0.878408i −0.435241 0.900314i \(-0.643337\pi\)
0.999760 + 0.0219057i \(0.00697337\pi\)
\(420\) 4680.88 + 5402.02i 0.0265356 + 0.0306237i
\(421\) 285074. 40987.5i 1.60840 0.231253i 0.721229 0.692697i \(-0.243578\pi\)
0.887169 + 0.461444i \(0.152669\pi\)
\(422\) 44237.3 + 12989.2i 0.248407 + 0.0729389i
\(423\) 91332.1 58695.6i 0.510438 0.328038i
\(424\) −83188.8 11960.7i −0.462736 0.0665314i
\(425\) −33461.7 15281.4i −0.185255 0.0846032i
\(426\) −4857.00 + 10635.4i −0.0267639 + 0.0586048i
\(427\) −912.692 + 6347.91i −0.00500574 + 0.0348157i
\(428\) −17848.8 27773.3i −0.0974367 0.151614i
\(429\) −33427.0 + 113842.i −0.181628 + 0.618568i
\(430\) 3408.13 + 23704.1i 0.0184323 + 0.128199i
\(431\) −216404. + 187515.i −1.16496 + 1.00944i −0.165230 + 0.986255i \(0.552837\pi\)
−0.999731 + 0.0231897i \(0.992618\pi\)
\(432\) 7553.57 + 4854.39i 0.0404748 + 0.0260116i
\(433\) −179402. 155452.i −0.956864 0.829128i 0.0284992 0.999594i \(-0.490927\pi\)
−0.985364 + 0.170466i \(0.945473\pi\)
\(434\) −10292.0 35051.3i −0.0546411 0.186091i
\(435\) −82364.3 + 37614.5i −0.435272 + 0.198782i
\(436\) 4324.09i 0.0227469i
\(437\) 220227. + 115841.i 1.15321 + 0.606594i
\(438\) −132316. −0.689708
\(439\) −90835.4 198902.i −0.471331 1.03207i −0.984757 0.173937i \(-0.944351\pi\)
0.513425 0.858134i \(-0.328376\pi\)
\(440\) −48263.7 + 14171.5i −0.249296 + 0.0731998i
\(441\) −39766.3 + 45892.7i −0.204474 + 0.235975i
\(442\) −18727.8 + 29141.0i −0.0958609 + 0.149162i
\(443\) −69742.6 80487.2i −0.355378 0.410128i 0.549708 0.835357i \(-0.314739\pi\)
−0.905086 + 0.425229i \(0.860194\pi\)
\(444\) 80074.4 11513.0i 0.406189 0.0584011i
\(445\) −9921.07 2913.09i −0.0501001 0.0147107i
\(446\) −126433. + 81253.8i −0.635612 + 0.408483i
\(447\) −135703. 19511.2i −0.679166 0.0976493i
\(448\) −5740.66 2621.67i −0.0286026 0.0130624i
\(449\) −77081.7 + 168785.i −0.382348 + 0.837225i 0.616411 + 0.787424i \(0.288586\pi\)
−0.998759 + 0.0498009i \(0.984141\pi\)
\(450\) 4677.61 32533.5i 0.0230993 0.160659i
\(451\) −124743. 194104.i −0.613285 0.954291i
\(452\) 19733.7 67206.8i 0.0965899 0.328955i
\(453\) −27219.8 189318.i −0.132644 0.922560i
\(454\) −192580. + 166872.i −0.934329 + 0.809600i
\(455\) −20727.5 13320.8i −0.100121 0.0643438i
\(456\) −41797.6 36217.8i −0.201012 0.174178i
\(457\) −93127.6 317164.i −0.445909 1.51863i −0.809530 0.587079i \(-0.800278\pi\)
0.363621 0.931547i \(-0.381540\pi\)
\(458\) 147878. 67533.4i 0.704971 0.321950i
\(459\) 11991.2i 0.0569165i
\(460\) 29096.5 + 51369.1i 0.137507 + 0.242765i
\(461\) 169050. 0.795451 0.397726 0.917504i \(-0.369800\pi\)
0.397726 + 0.917504i \(0.369800\pi\)
\(462\) 11992.2 + 26259.3i 0.0561843 + 0.123027i
\(463\) −176743. + 51896.4i −0.824480 + 0.242089i −0.666644 0.745376i \(-0.732270\pi\)
−0.157836 + 0.987465i \(0.550452\pi\)
\(464\) 52352.9 60418.4i 0.243167 0.280630i
\(465\) 41064.0 63896.8i 0.189913 0.295511i
\(466\) 610.198 + 704.207i 0.00280995 + 0.00324286i
\(467\) 358912. 51603.7i 1.64571 0.236618i 0.743758 0.668449i \(-0.233041\pi\)
0.901955 + 0.431831i \(0.142132\pi\)
\(468\) −29696.8 8719.78i −0.135587 0.0398120i
\(469\) −13040.6 + 8380.71i −0.0592862 + 0.0381009i
\(470\) −157042. 22579.2i −0.710917 0.102214i
\(471\) 68427.2 + 31249.7i 0.308452 + 0.140865i
\(472\) −33732.6 + 73864.2i −0.151414 + 0.331551i
\(473\) −13764.3 + 95733.1i −0.0615224 + 0.427898i
\(474\) −70409.5 109559.i −0.313382 0.487632i
\(475\) −57037.2 + 194251.i −0.252796 + 0.860945i
\(476\) 1199.46 + 8342.40i 0.00529383 + 0.0368194i
\(477\) −75790.5 + 65672.8i −0.333103 + 0.288635i
\(478\) −36079.9 23187.1i −0.157910 0.101483i
\(479\) −111238. 96388.1i −0.484821 0.420100i 0.377849 0.925867i \(-0.376664\pi\)
−0.862670 + 0.505768i \(0.831209\pi\)
\(480\) −3696.78 12590.1i −0.0160451 0.0546444i
\(481\) −253656. + 115841.i −1.09637 + 0.500693i
\(482\) 11552.1i 0.0497239i
\(483\) 26804.3 20724.2i 0.114898 0.0888348i
\(484\) −86022.2 −0.367215
\(485\) −11740.9 25709.1i −0.0499137 0.109296i
\(486\) 10280.1 3018.50i 0.0435235 0.0127796i
\(487\) −37165.9 + 42891.7i −0.156706 + 0.180849i −0.828674 0.559732i \(-0.810904\pi\)
0.671967 + 0.740581i \(0.265449\pi\)
\(488\) 6364.90 9903.97i 0.0267271 0.0415882i
\(489\) 79579.9 + 91840.0i 0.332802 + 0.384074i
\(490\) 87838.3 12629.2i 0.365841 0.0525999i
\(491\) 169203. + 49682.5i 0.701851 + 0.206082i 0.613139 0.789975i \(-0.289907\pi\)
0.0887125 + 0.996057i \(0.471725\pi\)
\(492\) 50634.0 32540.5i 0.209176 0.134429i
\(493\) −105678. 15194.3i −0.434803 0.0625152i
\(494\) 173413. + 79195.1i 0.710604 + 0.324522i
\(495\) −24933.9 + 54597.5i −0.101760 + 0.222824i
\(496\) −9543.78 + 66378.5i −0.0387933 + 0.269814i
\(497\) −5301.45 8249.22i −0.0214626 0.0333964i
\(498\) 24809.6 84493.8i 0.100037 0.340695i
\(499\) 51905.4 + 361010.i 0.208455 + 1.44983i 0.778202 + 0.628014i \(0.216132\pi\)
−0.569747 + 0.821820i \(0.692959\pi\)
\(500\) −89014.7 + 77131.7i −0.356059 + 0.308527i
\(501\) 96074.6 + 61743.4i 0.382766 + 0.245989i
\(502\) 147569. + 127869.i 0.585583 + 0.507410i
\(503\) −54909.5 187005.i −0.217026 0.739122i −0.993980 0.109564i \(-0.965054\pi\)
0.776954 0.629557i \(-0.216764\pi\)
\(504\) −6850.01 + 3128.29i −0.0269668 + 0.0123153i
\(505\) 247985.i 0.972394i
\(506\) 54302.2 + 232166.i 0.212088 + 0.906771i
\(507\) −41720.4 −0.162305
\(508\) 17128.1 + 37505.4i 0.0663717 + 0.145334i
\(509\) −496.585 + 145.810i −0.00191672 + 0.000562799i −0.282691 0.959211i \(-0.591227\pi\)
0.280774 + 0.959774i \(0.409409\pi\)
\(510\) −11475.5 + 13243.5i −0.0441197 + 0.0509169i
\(511\) 59995.9 93355.5i 0.229763 0.357518i
\(512\) 7586.72 + 8755.54i 0.0289410 + 0.0333997i
\(513\) −65321.9 + 9391.87i −0.248213 + 0.0356876i
\(514\) 91571.0 + 26887.7i 0.346602 + 0.101772i
\(515\) −19877.9 + 12774.7i −0.0749472 + 0.0481656i
\(516\) −24973.0 3590.57i −0.0937931 0.0134854i
\(517\) −582857. 266182.i −2.18063 0.995859i
\(518\) −28185.1 + 61716.7i −0.105041 + 0.230008i
\(519\) 17678.5 122956.i 0.0656311 0.456475i
\(520\) 24453.3 + 38050.1i 0.0904340 + 0.140718i
\(521\) 47340.2 161226.i 0.174403 0.593963i −0.825174 0.564879i \(-0.808923\pi\)
0.999577 0.0290838i \(-0.00925898\pi\)
\(522\) −13576.0 94422.9i −0.0498230 0.346526i
\(523\) 339410. 294100.i 1.24086 1.07521i 0.246496 0.969144i \(-0.420721\pi\)
0.994359 0.106063i \(-0.0338246\pi\)
\(524\) −45784.9 29424.2i −0.166748 0.107162i
\(525\) 20833.0 + 18051.9i 0.0755844 + 0.0654943i
\(526\) 31322.3 + 106674.i 0.113209 + 0.385555i
\(527\) 81465.5 37204.0i 0.293327 0.133958i
\(528\) 52993.9i 0.190089i
\(529\) 250811. 124116.i 0.896262 0.443524i
\(530\) 146554. 0.521730
\(531\) 40251.2 + 88137.9i 0.142755 + 0.312589i
\(532\) 44505.6 13068.0i 0.157250 0.0461728i
\(533\) −135865. + 156796.i −0.478247 + 0.551927i
\(534\) 5889.42 9164.12i 0.0206533 0.0321372i
\(535\) 37699.9 + 43508.0i 0.131714 + 0.152006i
\(536\) 28166.8 4049.77i 0.0980411 0.0140962i
\(537\) 177570. + 52139.2i 0.615772 + 0.180807i
\(538\) 174381. 112068.i 0.602468 0.387182i
\(539\) 354750. + 51005.4i 1.22108 + 0.175565i
\(540\) −14242.3 6504.26i −0.0488420 0.0223054i
\(541\) −196694. + 430700.i −0.672043 + 1.47157i 0.198817 + 0.980037i \(0.436290\pi\)
−0.870860 + 0.491532i \(0.836437\pi\)
\(542\) 29750.6 206920.i 0.101274 0.704374i
\(543\) −136089. 211759.i −0.461555 0.718194i
\(544\) 4358.93 14845.1i 0.0147293 0.0501634i
\(545\) −1073.09 7463.49i −0.00361278 0.0251275i
\(546\) 19617.6 16998.7i 0.0658053 0.0570206i
\(547\) 362788. + 233150.i 1.21249 + 0.779220i 0.981074 0.193635i \(-0.0620276\pi\)
0.231416 + 0.972855i \(0.425664\pi\)
\(548\) −50216.1 43512.5i −0.167218 0.144895i
\(549\) −3957.75 13478.9i −0.0131312 0.0447207i
\(550\) −176457. + 80585.2i −0.583329 + 0.266398i
\(551\) 587581.i 1.93537i
\(552\) −60562.9 + 14165.3i −0.198760 + 0.0464887i
\(553\) 109225. 0.357167
\(554\) −101739. 222776.i −0.331487 0.725855i
\(555\) −135353. + 39743.3i −0.439423 + 0.129026i
\(556\) −106254. + 122623.i −0.343712 + 0.396665i
\(557\) 264516. 411594.i 0.852591 1.32666i −0.0911042 0.995841i \(-0.529040\pi\)
0.943695 0.330816i \(-0.107324\pi\)
\(558\) 52402.0 + 60475.2i 0.168298 + 0.194227i
\(559\) 86082.1 12376.7i 0.275480 0.0396080i
\(560\) 10559.1 + 3100.44i 0.0336707 + 0.00988661i
\(561\) −59537.4 + 38262.4i −0.189175 + 0.121576i
\(562\) −268582. 38616.2i −0.850362 0.122264i
\(563\) −296498. 135406.i −0.935416 0.427190i −0.111412 0.993774i \(-0.535537\pi\)
−0.824004 + 0.566584i \(0.808265\pi\)
\(564\) 69436.4 152044.i 0.218287 0.477983i
\(565\) −17382.5 + 120898.i −0.0544521 + 0.378723i
\(566\) 83945.7 + 130622.i 0.262039 + 0.407740i
\(567\) −2531.58 + 8621.76i −0.00787454 + 0.0268182i
\(568\) 2561.80 + 17817.7i 0.00794050 + 0.0552274i
\(569\) 39911.6 34583.6i 0.123275 0.106818i −0.591042 0.806641i \(-0.701283\pi\)
0.714317 + 0.699823i \(0.246738\pi\)
\(570\) 81131.6 + 52140.1i 0.249712 + 0.160480i
\(571\) 381575. + 330636.i 1.17033 + 1.01409i 0.999586 + 0.0287788i \(0.00916183\pi\)
0.170742 + 0.985316i \(0.445384\pi\)
\(572\) 51464.2 + 175271.i 0.157294 + 0.535696i
\(573\) 30386.6 13877.1i 0.0925492 0.0422658i
\(574\) 50479.5i 0.153211i
\(575\) 139262. + 180120.i 0.421209 + 0.544786i
\(576\) 13824.0 0.0416667
\(577\) −201803. 441887.i −0.606144 1.32727i −0.925180 0.379528i \(-0.876086\pi\)
0.319036 0.947743i \(-0.396641\pi\)
\(578\) 206839. 60733.3i 0.619121 0.181790i
\(579\) 43082.7 49720.0i 0.128512 0.148311i
\(580\) −75368.6 + 117276.i −0.224044 + 0.348620i
\(581\) 48365.1 + 55816.3i 0.143278 + 0.165352i
\(582\) 29473.0 4237.58i 0.0870119 0.0125104i
\(583\) 567909. + 166753.i 1.67087 + 0.490610i
\(584\) −171375. + 110136.i −0.502485 + 0.322927i
\(585\) 53421.4 + 7680.83i 0.156100 + 0.0224438i
\(586\) 404999. + 184957.i 1.17939 + 0.538610i
\(587\) 62547.8 136961.i 0.181525 0.397484i −0.796893 0.604120i \(-0.793525\pi\)
0.978418 + 0.206637i \(0.0662519\pi\)
\(588\) −13305.3 + 92540.3i −0.0384831 + 0.267656i
\(589\) −266474. 414642.i −0.768113 1.19521i
\(590\) 39892.8 135863.i 0.114602 0.390297i
\(591\) 31623.7 + 219948.i 0.0905395 + 0.629716i
\(592\) 94128.9 81563.2i 0.268584 0.232729i
\(593\) 164320. + 105602.i 0.467284 + 0.300305i 0.753014 0.658005i \(-0.228599\pi\)
−0.285729 + 0.958310i \(0.592236\pi\)
\(594\) −47789.5 41409.8i −0.135444 0.117363i
\(595\) −4140.58 14101.5i −0.0116957 0.0398320i
\(596\) −192003. + 87684.8i −0.540524 + 0.246849i
\(597\) 287847.i 0.807631i
\(598\) 186548. 105665.i 0.521662 0.295480i
\(599\) −347269. −0.967861 −0.483930 0.875106i \(-0.660791\pi\)
−0.483930 + 0.875106i \(0.660791\pi\)
\(600\) −21021.5 46030.7i −0.0583931 0.127863i
\(601\) −91201.3 + 26779.1i −0.252495 + 0.0741391i −0.405531 0.914082i \(-0.632913\pi\)
0.153036 + 0.988221i \(0.451095\pi\)
\(602\) 13856.8 15991.6i 0.0382357 0.0441263i
\(603\) 18357.7 28565.1i 0.0504875 0.0785601i
\(604\) −192837. 222546.i −0.528588 0.610023i
\(605\) 148476. 21347.7i 0.405646 0.0583230i
\(606\) 250677. + 73605.3i 0.682604 + 0.200431i
\(607\) −60585.9 + 38936.2i −0.164435 + 0.105676i −0.620270 0.784388i \(-0.712977\pi\)
0.455835 + 0.890064i \(0.349341\pi\)
\(608\) −84282.6 12118.0i −0.227998 0.0327812i
\(609\) 72775.6 + 33235.5i 0.196224 + 0.0896123i
\(610\) −8528.14 + 18674.0i −0.0229190 + 0.0501855i
\(611\) −81996.9 + 570301.i −0.219642 + 1.52764i
\(612\) −9981.14 15531.0i −0.0266488 0.0414663i
\(613\) −78121.9 + 266059.i −0.207899 + 0.708038i 0.787845 + 0.615873i \(0.211197\pi\)
−0.995744 + 0.0921644i \(0.970621\pi\)
\(614\) −72068.8 501250.i −0.191166 1.32959i
\(615\) −79320.0 + 68731.2i −0.209716 + 0.181720i
\(616\) 37389.7 + 24028.9i 0.0985350 + 0.0633246i
\(617\) 407837. + 353393.i 1.07131 + 0.928297i 0.997618 0.0689836i \(-0.0219756\pi\)
0.0736944 + 0.997281i \(0.476521\pi\)
\(618\) −7013.37 23885.4i −0.0183633 0.0625396i
\(619\) 250861. 114564.i 0.654714 0.298998i −0.0602247 0.998185i \(-0.519182\pi\)
0.714939 + 0.699187i \(0.246454\pi\)
\(620\) 116939.i 0.304212i
\(621\) −34550.2 + 65684.1i −0.0895915 + 0.170324i
\(622\) −188768. −0.487919
\(623\) 3795.30 + 8310.54i 0.00977844 + 0.0214118i
\(624\) −45721.3 + 13425.0i −0.117422 + 0.0344782i
\(625\) −41654.4 + 48071.7i −0.106635 + 0.123064i
\(626\) 117845. 183370.i 0.300719 0.467928i
\(627\) 255065. + 294361.i 0.648807 + 0.748764i
\(628\) 114638. 16482.4i 0.290676 0.0417929i
\(629\) −159597. 46861.9i −0.403388 0.118446i
\(630\) 11046.9 7099.44i 0.0278331 0.0178872i
\(631\) −363151. 52213.3i −0.912071 0.131136i −0.329725 0.944077i \(-0.606956\pi\)
−0.582346 + 0.812941i \(0.697865\pi\)
\(632\) −182388. 83293.8i −0.456627 0.208535i
\(633\) 35185.7 77045.9i 0.0878130 0.192284i
\(634\) −15234.4 + 105957.i −0.0379006 + 0.263604i
\(635\) −38871.1 60484.6i −0.0964005 0.150002i
\(636\) −43499.3 + 148145.i −0.107539 + 0.366246i
\(637\) −45863.5 318988.i −0.113029 0.786131i
\(638\) −425499. + 368697.i −1.04534 + 0.905791i
\(639\) 18069.7 + 11612.7i 0.0442536 + 0.0284400i
\(640\) −15267.7 13229.5i −0.0372746 0.0322986i
\(641\) −81539.1 277697.i −0.198450 0.675857i −0.997240 0.0742475i \(-0.976345\pi\)
0.798790 0.601610i \(-0.205474\pi\)
\(642\) −55170.1 + 25195.4i −0.133855 + 0.0611294i
\(643\) 130662.i 0.316030i 0.987437 + 0.158015i \(0.0505095\pi\)
−0.987437 + 0.158015i \(0.949491\pi\)
\(644\) 17466.6 49153.0i 0.0421150 0.118516i
\(645\) 43995.0 0.105751
\(646\) 47239.0 + 103439.i 0.113197 + 0.247868i
\(647\) −532736. + 156425.i −1.27263 + 0.373679i −0.847182 0.531302i \(-0.821703\pi\)
−0.425451 + 0.904981i \(0.639885\pi\)
\(648\) 10802.2 12466.4i 0.0257254 0.0296886i
\(649\) 309176. 481087.i 0.734034 1.14218i
\(650\) 114228. + 131826.i 0.270363 + 0.312015i
\(651\) −66428.7 + 9551.00i −0.156745 + 0.0225365i
\(652\) 179516. + 52710.8i 0.422288 + 0.123995i
\(653\) −205440. + 132028.i −0.481791 + 0.309628i −0.758897 0.651211i \(-0.774261\pi\)
0.277105 + 0.960840i \(0.410625\pi\)
\(654\) 7863.01 + 1130.53i 0.0183837 + 0.00264318i
\(655\) 86327.9 + 39424.6i 0.201219 + 0.0918936i
\(656\) 38495.1 84292.5i 0.0894536 0.195876i
\(657\) −34594.0 + 240606.i −0.0801438 + 0.557412i
\(658\) 75790.2 + 117932.i 0.175050 + 0.272383i
\(659\) −143823. + 489817.i −0.331176 + 1.12788i 0.610684 + 0.791875i \(0.290895\pi\)
−0.941860 + 0.336007i \(0.890924\pi\)
\(660\) 13151.2 + 91468.6i 0.0301910 + 0.209983i
\(661\) −335193. + 290447.i −0.767172 + 0.664758i −0.947826 0.318789i \(-0.896724\pi\)
0.180654 + 0.983547i \(0.442179\pi\)
\(662\) 337769. + 217071.i 0.770733 + 0.495320i
\(663\) 48094.1 + 41673.8i 0.109412 + 0.0948060i
\(664\) −38196.9 130087.i −0.0866347 0.295051i
\(665\) −73574.7 + 33600.4i −0.166374 + 0.0759804i
\(666\) 148619.i 0.335062i
\(667\) 535093. + 387719.i 1.20276 + 0.871497i
\(668\) 175829. 0.394037
\(669\) 114698. + 251153.i 0.256272 + 0.561158i
\(670\) −47611.5 + 13980.0i −0.106063 + 0.0311428i
\(671\) −54295.0 + 62659.8i −0.120591 + 0.139169i
\(672\) −6268.19 + 9753.49i −0.0138805 + 0.0215984i
\(673\) 271381. + 313191.i 0.599169 + 0.691478i 0.971613 0.236577i \(-0.0760254\pi\)
−0.372443 + 0.928055i \(0.621480\pi\)
\(674\) −38005.2 + 5464.32i −0.0836610 + 0.0120286i
\(675\) −57936.5 17011.7i −0.127158 0.0373370i
\(676\) −54036.1 + 34726.9i −0.118247 + 0.0759928i
\(677\) −506964. 72890.5i −1.10611 0.159035i −0.435030 0.900416i \(-0.643262\pi\)
−0.671085 + 0.741381i \(0.734171\pi\)
\(678\) −117051. 53455.3i −0.254633 0.116287i
\(679\) −10374.1 + 22716.1i −0.0225014 + 0.0492713i
\(680\) −3839.57 + 26704.8i −0.00830357 + 0.0577526i
\(681\) 253092. + 393819.i 0.545739 + 0.849186i
\(682\) 133057. 453149.i 0.286067 0.974254i
\(683\) −81638.4 567807.i −0.175006 1.21719i −0.868116 0.496361i \(-0.834669\pi\)
0.693110 0.720832i \(-0.256240\pi\)
\(684\) −76787.0 + 66536.4i −0.164125 + 0.142215i
\(685\) 97472.5 + 62641.8i 0.207731 + 0.133500i
\(686\) −122520. 106165.i −0.260352 0.225596i
\(687\) −84141.6 286560.i −0.178278 0.607158i
\(688\) −35333.5 + 16136.3i −0.0746467 + 0.0340900i
\(689\) 532216.i 1.12111i
\(690\) 101018. 39479.2i 0.212177 0.0829221i
\(691\) 357553. 0.748831 0.374416 0.927261i \(-0.377843\pi\)
0.374416 + 0.927261i \(0.377843\pi\)
\(692\) −79448.3 173968.i −0.165910 0.363292i
\(693\) 50885.7 14941.4i 0.105957 0.0311118i
\(694\) 237796. 274431.i 0.493725 0.569788i
\(695\) 152966. 238019.i 0.316683 0.492768i
\(696\) −96178.4 110996.i −0.198545 0.229133i
\(697\) −122495. + 17612.1i −0.252146 + 0.0362531i
\(698\) −345883. 101560.i −0.709935 0.208456i
\(699\) 1440.08 925.482i 0.00294735 0.00189415i
\(700\) 42008.6 + 6039.92i 0.0857318 + 0.0123264i
\(701\) −777908. 355259.i −1.58304 0.722951i −0.586813 0.809722i \(-0.699618\pi\)
−0.996228 + 0.0867715i \(0.972345\pi\)
\(702\) −23620.4 + 51721.5i −0.0479306 + 0.104953i
\(703\) −130278. + 906105.i −0.263609 + 1.83344i
\(704\) −44110.6 68637.4i −0.0890015 0.138489i
\(705\) −82116.7 + 279664.i −0.165216 + 0.562676i
\(706\) −77241.9 537229.i −0.154969 1.07783i
\(707\) −165596. + 143490.i −0.331292 + 0.287066i
\(708\) 125497. + 80651.7i 0.250360 + 0.160897i
\(709\) −54370.9 47112.6i −0.108162 0.0937227i 0.599101 0.800673i \(-0.295525\pi\)
−0.707263 + 0.706951i \(0.750070\pi\)
\(710\) −8843.44 30118.0i −0.0175430 0.0597461i
\(711\) −217633. + 99389.7i −0.430512 + 0.196608i
\(712\) 16771.5i 0.0330835i
\(713\) −553438. 30933.7i −1.08865 0.0608490i
\(714\) 15483.6 0.0303721
\(715\) −132324. 289750.i −0.258838 0.566776i
\(716\) 273386. 80273.5i 0.533275 0.156584i
\(717\) −51597.0 + 59546.1i −0.100366 + 0.115828i
\(718\) 141395. 220015.i 0.274275 0.426780i
\(719\) −50235.8 57975.2i −0.0971753 0.112146i 0.705079 0.709129i \(-0.250912\pi\)
−0.802254 + 0.596983i \(0.796366\pi\)
\(720\) −23860.5 + 3430.63i −0.0460273 + 0.00661773i
\(721\) 20032.3 + 5882.02i 0.0385355 + 0.0113150i
\(722\) 216394. 139068.i 0.415118 0.266780i
\(723\) −21006.5 3020.27i −0.0401861 0.00577790i
\(724\) −352524. 160992.i −0.672529 0.307134i
\(725\) −223336. + 489037.i −0.424896 + 0.930392i
\(726\) −22490.4 + 156424.i −0.0426702 + 0.296778i
\(727\) 65018.6 + 101171.i 0.123018 + 0.191420i 0.897300 0.441421i \(-0.145525\pi\)
−0.774282 + 0.632840i \(0.781889\pi\)
\(728\) 11259.3 38345.8i 0.0212447 0.0723528i
\(729\) −2801.18 19482.7i −0.00527092 0.0366601i
\(730\) 268466. 232627.i 0.503783 0.436530i
\(731\) 43640.1 + 28045.8i 0.0816679 + 0.0524848i
\(732\) −16345.5 14163.4i −0.0305053 0.0264330i
\(733\) −173635. 591346.i −0.323168 1.10061i −0.947581 0.319516i \(-0.896480\pi\)
0.624413 0.781095i \(-0.285338\pi\)
\(734\) 150978. 68949.2i 0.280234 0.127979i
\(735\) 163029.i 0.301779i
\(736\) −66650.0 + 68757.6i −0.123039 + 0.126930i
\(737\) −200405. −0.368956
\(738\) −45934.0 100581.i −0.0843376 0.184674i
\(739\) 169155. 49668.3i 0.309739 0.0909475i −0.123169 0.992386i \(-0.539306\pi\)
0.432908 + 0.901438i \(0.357488\pi\)
\(740\) −142228. + 164139.i −0.259729 + 0.299743i
\(741\) 189348. 294632.i 0.344846 0.536591i
\(742\) −84799.5 97863.9i −0.154023 0.177752i
\(743\) −286490. + 41191.1i −0.518958 + 0.0746149i −0.396817 0.917898i \(-0.629885\pi\)
−0.122141 + 0.992513i \(0.538976\pi\)
\(744\) 118209. + 34709.2i 0.213552 + 0.0627045i
\(745\) 309641. 198994.i 0.557887 0.358532i
\(746\) −383374. 55120.9i −0.688883 0.0990464i
\(747\) −147159. 67205.1i −0.263721 0.120437i
\(748\) −45264.1 + 99114.5i −0.0809003 + 0.177147i
\(749\) 7239.16 50349.4i 0.0129040 0.0897493i
\(750\) 116985. + 182032.i 0.207973 + 0.323612i
\(751\) −40637.3 + 138398.i −0.0720519 + 0.245386i −0.987642 0.156727i \(-0.949906\pi\)
0.915590 + 0.402113i \(0.131724\pi\)
\(752\) −36623.8 254724.i −0.0647631 0.450437i
\(753\) 271102. 234911.i 0.478126 0.414299i
\(754\) 425891. + 273703.i 0.749127 + 0.481435i
\(755\) 388070. + 336265.i 0.680795 + 0.589912i
\(756\) 3897.62 + 13274.1i 0.00681955 + 0.0232252i
\(757\) 418468. 191108.i 0.730248 0.333493i −0.0153560 0.999882i \(-0.504888\pi\)
0.745604 + 0.666389i \(0.232161\pi\)
\(758\) 364147.i 0.633779i
\(759\) 436372. 38044.6i 0.757484 0.0660404i
\(760\) 148481. 0.257066
\(761\) −206031. 451145.i −0.355765 0.779016i −0.999901 0.0141051i \(-0.995510\pi\)
0.644136 0.764911i \(-0.277217\pi\)
\(762\) 72678.7 21340.4i 0.125169 0.0367529i
\(763\) −4362.95 + 5035.12i −0.00749431 + 0.00864889i
\(764\) 27805.7 43266.5i 0.0476372 0.0741250i
\(765\) 21081.9 + 24329.8i 0.0360236 + 0.0415735i
\(766\) −133417. + 19182.5i −0.227382 + 0.0326925i
\(767\) −493389. 144872.i −0.838685 0.246260i
\(768\) 17904.8 11506.7i 0.0303561 0.0195087i
\(769\) −698035. 100362.i −1.18039 &mi