Properties

Label 43.5.h.a.3.5
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.5
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.59415 + 3.31028i) q^{2} +(12.0593 + 0.903718i) q^{3} +(1.55919 + 1.95516i) q^{4} +(-2.23527 + 7.24655i) q^{5} +(-22.2158 + 38.4789i) q^{6} +(79.2542 - 45.7575i) q^{7} +(-66.2699 + 15.1257i) q^{8} +(64.5140 + 9.72393i) q^{9} +O(q^{10})\) \(q+(-1.59415 + 3.31028i) q^{2} +(12.0593 + 0.903718i) q^{3} +(1.55919 + 1.95516i) q^{4} +(-2.23527 + 7.24655i) q^{5} +(-22.2158 + 38.4789i) q^{6} +(79.2542 - 45.7575i) q^{7} +(-66.2699 + 15.1257i) q^{8} +(64.5140 + 9.72393i) q^{9} +(-20.4248 - 18.9514i) q^{10} +(-75.2301 + 94.3355i) q^{11} +(17.0358 + 24.9869i) q^{12} +(-95.4437 + 88.5588i) q^{13} +(25.1271 + 335.298i) q^{14} +(-33.5045 + 85.3681i) q^{15} +(46.6703 - 204.476i) q^{16} +(88.0327 - 27.1545i) q^{17} +(-135.034 + 198.058i) q^{18} +(-36.1727 - 239.990i) q^{19} +(-17.6534 + 6.92844i) q^{20} +(997.100 - 480.178i) q^{21} +(-192.349 - 399.417i) q^{22} +(-332.295 - 846.673i) q^{23} +(-812.837 + 122.515i) q^{24} +(468.883 + 319.679i) q^{25} +(-141.003 - 457.121i) q^{26} +(-185.776 - 42.4022i) q^{27} +(213.035 + 83.6102i) q^{28} +(360.394 - 27.0078i) q^{29} +(-229.181 - 246.999i) q^{30} +(927.689 - 632.488i) q^{31} +(-247.837 - 197.643i) q^{32} +(-992.473 + 1069.63i) q^{33} +(-50.4481 + 334.701i) q^{34} +(154.430 + 676.600i) q^{35} +(81.5777 + 141.297i) q^{36} +(-630.876 - 364.237i) q^{37} +(852.099 + 262.838i) q^{38} +(-1231.01 + 981.700i) q^{39} +(38.5219 - 514.039i) q^{40} +(438.360 + 211.103i) q^{41} +4066.16i q^{42} +(-1839.49 + 187.300i) q^{43} -301.739 q^{44} +(-214.671 + 445.769i) q^{45} +(3332.45 + 249.733i) q^{46} +(-1005.47 - 1260.82i) q^{47} +(747.598 - 2423.65i) q^{48} +(2986.99 - 5173.62i) q^{49} +(-1805.70 + 1042.52i) q^{50} +(1086.15 - 247.907i) q^{51} +(-321.961 - 48.5278i) q^{52} +(3548.71 + 3292.72i) q^{53} +(436.518 - 547.376i) q^{54} +(-515.448 - 756.024i) q^{55} +(-4560.06 + 4231.12i) q^{56} +(-219.333 - 2926.80i) q^{57} +(-485.118 + 1236.06i) q^{58} +(-826.294 + 3620.23i) q^{59} +(-219.148 + 67.5982i) q^{60} +(-2803.19 + 4111.52i) q^{61} +(614.839 + 4079.19i) q^{62} +(5557.95 - 2181.34i) q^{63} +(4072.77 - 1961.34i) q^{64} +(-428.404 - 889.590i) q^{65} +(-1958.63 - 4990.51i) q^{66} +(1811.87 - 273.095i) q^{67} +(190.351 + 129.779i) q^{68} +(-3242.08 - 10510.6i) q^{69} +(-2485.92 - 567.395i) q^{70} +(-3648.19 - 1431.81i) q^{71} +(-4422.42 + 331.415i) q^{72} +(-3047.32 - 3284.23i) q^{73} +(2211.43 - 1507.73i) q^{74} +(5365.49 + 4278.84i) q^{75} +(412.819 - 444.913i) q^{76} +(-1645.75 + 10918.8i) q^{77} +(-1287.29 - 5639.97i) q^{78} +(-140.050 - 242.574i) q^{79} +(1377.42 + 795.257i) q^{80} +(-7251.89 - 2236.91i) q^{81} +(-1397.62 + 1114.57i) q^{82} +(379.344 - 5061.99i) q^{83} +(2493.49 + 1200.80i) q^{84} +698.631i q^{85} +(2312.40 - 6387.81i) q^{86} +4370.50 q^{87} +(3558.60 - 7389.52i) q^{88} +(1264.08 + 94.7295i) q^{89} +(-1133.40 - 1421.24i) q^{90} +(-3512.09 + 11385.9i) q^{91} +(1137.27 - 1969.81i) q^{92} +(11758.8 - 6788.97i) q^{93} +(5776.52 - 1318.45i) q^{94} +(1819.96 + 274.314i) q^{95} +(-2810.12 - 2607.41i) q^{96} +(-8959.57 + 11234.9i) q^{97} +(12364.4 + 18135.3i) q^{98} +(-5770.71 + 5354.44i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59415 + 3.31028i −0.398537 + 0.827570i 0.601061 + 0.799203i \(0.294745\pi\)
−0.999598 + 0.0283667i \(0.990969\pi\)
\(3\) 12.0593 + 0.903718i 1.33992 + 0.100413i 0.725312 0.688420i \(-0.241696\pi\)
0.614607 + 0.788833i \(0.289315\pi\)
\(4\) 1.55919 + 1.95516i 0.0974493 + 0.122197i
\(5\) −2.23527 + 7.24655i −0.0894106 + 0.289862i −0.989223 0.146414i \(-0.953227\pi\)
0.899813 + 0.436276i \(0.143703\pi\)
\(6\) −22.2158 + 38.4789i −0.617106 + 1.06886i
\(7\) 79.2542 45.7575i 1.61743 0.933826i 0.629853 0.776715i \(-0.283115\pi\)
0.987581 0.157111i \(-0.0502180\pi\)
\(8\) −66.2699 + 15.1257i −1.03547 + 0.236339i
\(9\) 64.5140 + 9.72393i 0.796470 + 0.120048i
\(10\) −20.4248 18.9514i −0.204248 0.189514i
\(11\) −75.2301 + 94.3355i −0.621736 + 0.779633i −0.988588 0.150647i \(-0.951864\pi\)
0.366851 + 0.930280i \(0.380436\pi\)
\(12\) 17.0358 + 24.9869i 0.118304 + 0.173520i
\(13\) −95.4437 + 88.5588i −0.564755 + 0.524016i −0.910061 0.414474i \(-0.863966\pi\)
0.345306 + 0.938490i \(0.387775\pi\)
\(14\) 25.1271 + 335.298i 0.128199 + 1.71070i
\(15\) −33.5045 + 85.3681i −0.148909 + 0.379414i
\(16\) 46.6703 204.476i 0.182306 0.798734i
\(17\) 88.0327 27.1545i 0.304611 0.0939601i −0.138681 0.990337i \(-0.544286\pi\)
0.443293 + 0.896377i \(0.353810\pi\)
\(18\) −135.034 + 198.058i −0.416771 + 0.611291i
\(19\) −36.1727 239.990i −0.100201 0.664793i −0.981390 0.192027i \(-0.938494\pi\)
0.881188 0.472766i \(-0.156744\pi\)
\(20\) −17.6534 + 6.92844i −0.0441334 + 0.0173211i
\(21\) 997.100 480.178i 2.26100 1.08884i
\(22\) −192.349 399.417i −0.397416 0.825242i
\(23\) −332.295 846.673i −0.628156 1.60052i −0.789591 0.613633i \(-0.789707\pi\)
0.161435 0.986883i \(-0.448388\pi\)
\(24\) −812.837 + 122.515i −1.41117 + 0.212700i
\(25\) 468.883 + 319.679i 0.750213 + 0.511487i
\(26\) −141.003 457.121i −0.208585 0.676214i
\(27\) −185.776 42.4022i −0.254837 0.0581649i
\(28\) 213.035 + 83.6102i 0.271729 + 0.106646i
\(29\) 360.394 27.0078i 0.428531 0.0321139i 0.141281 0.989970i \(-0.454878\pi\)
0.287250 + 0.957856i \(0.407259\pi\)
\(30\) −229.181 246.999i −0.254646 0.274443i
\(31\) 927.689 632.488i 0.965337 0.658156i 0.0254629 0.999676i \(-0.491894\pi\)
0.939875 + 0.341520i \(0.110942\pi\)
\(32\) −247.837 197.643i −0.242028 0.193011i
\(33\) −992.473 + 1069.63i −0.911362 + 0.982214i
\(34\) −50.4481 + 334.701i −0.0436402 + 0.289534i
\(35\) 154.430 + 676.600i 0.126065 + 0.552327i
\(36\) 81.5777 + 141.297i 0.0629458 + 0.109025i
\(37\) −630.876 364.237i −0.460830 0.266060i 0.251563 0.967841i \(-0.419055\pi\)
−0.712393 + 0.701781i \(0.752389\pi\)
\(38\) 852.099 + 262.838i 0.590096 + 0.182021i
\(39\) −1231.01 + 981.700i −0.809345 + 0.645431i
\(40\) 38.5219 514.039i 0.0240762 0.321274i
\(41\) 438.360 + 211.103i 0.260773 + 0.125582i 0.559703 0.828693i \(-0.310915\pi\)
−0.298929 + 0.954275i \(0.596630\pi\)
\(42\) 4066.16i 2.30508i
\(43\) −1839.49 + 187.300i −0.994856 + 0.101298i
\(44\) −301.739 −0.155857
\(45\) −214.671 + 445.769i −0.106010 + 0.220133i
\(46\) 3332.45 + 249.733i 1.57488 + 0.118021i
\(47\) −1005.47 1260.82i −0.455168 0.570763i 0.500302 0.865851i \(-0.333222\pi\)
−0.955470 + 0.295088i \(0.904651\pi\)
\(48\) 747.598 2423.65i 0.324478 1.05193i
\(49\) 2986.99 5173.62i 1.24406 2.15478i
\(50\) −1805.70 + 1042.52i −0.722278 + 0.417008i
\(51\) 1086.15 247.907i 0.417589 0.0953120i
\(52\) −321.961 48.5278i −0.119069 0.0179467i
\(53\) 3548.71 + 3292.72i 1.26334 + 1.17221i 0.976804 + 0.214135i \(0.0686932\pi\)
0.286533 + 0.958070i \(0.407497\pi\)
\(54\) 436.518 547.376i 0.149697 0.187715i
\(55\) −515.448 756.024i −0.170396 0.249925i
\(56\) −4560.06 + 4231.12i −1.45410 + 1.34921i
\(57\) −219.333 2926.80i −0.0675079 0.900830i
\(58\) −485.118 + 1236.06i −0.144209 + 0.367438i
\(59\) −826.294 + 3620.23i −0.237373 + 1.04000i 0.705987 + 0.708225i \(0.250504\pi\)
−0.943359 + 0.331773i \(0.892353\pi\)
\(60\) −219.148 + 67.5982i −0.0608745 + 0.0187773i
\(61\) −2803.19 + 4111.52i −0.753342 + 1.10495i 0.237692 + 0.971341i \(0.423609\pi\)
−0.991034 + 0.133609i \(0.957343\pi\)
\(62\) 614.839 + 4079.19i 0.159948 + 1.06118i
\(63\) 5557.95 2181.34i 1.40034 0.549593i
\(64\) 4072.77 1961.34i 0.994328 0.478843i
\(65\) −428.404 889.590i −0.101397 0.210554i
\(66\) −1958.63 4990.51i −0.449640 1.14566i
\(67\) 1811.87 273.095i 0.403624 0.0608365i 0.0559066 0.998436i \(-0.482195\pi\)
0.347717 + 0.937600i \(0.386957\pi\)
\(68\) 190.351 + 129.779i 0.0411658 + 0.0280664i
\(69\) −3242.08 10510.6i −0.680966 2.20764i
\(70\) −2485.92 567.395i −0.507330 0.115795i
\(71\) −3648.19 1431.81i −0.723703 0.284032i −0.0252428 0.999681i \(-0.508036\pi\)
−0.698460 + 0.715649i \(0.746131\pi\)
\(72\) −4422.42 + 331.415i −0.853091 + 0.0639303i
\(73\) −3047.32 3284.23i −0.571838 0.616294i 0.379220 0.925306i \(-0.376192\pi\)
−0.951058 + 0.309012i \(0.900002\pi\)
\(74\) 2211.43 1507.73i 0.403841 0.275334i
\(75\) 5365.49 + 4278.84i 0.953865 + 0.760682i
\(76\) 412.819 444.913i 0.0714714 0.0770279i
\(77\) −1645.75 + 10918.8i −0.277576 + 1.84160i
\(78\) −1287.29 5639.97i −0.211586 0.927017i
\(79\) −140.050 242.574i −0.0224403 0.0388678i 0.854587 0.519308i \(-0.173810\pi\)
−0.877027 + 0.480440i \(0.840477\pi\)
\(80\) 1377.42 + 795.257i 0.215223 + 0.124259i
\(81\) −7251.89 2236.91i −1.10530 0.340941i
\(82\) −1397.62 + 1114.57i −0.207856 + 0.165759i
\(83\) 379.344 5061.99i 0.0550652 0.734794i −0.899525 0.436870i \(-0.856087\pi\)
0.954590 0.297923i \(-0.0962940\pi\)
\(84\) 2493.49 + 1200.80i 0.353386 + 0.170182i
\(85\) 698.631i 0.0966963i
\(86\) 2312.40 6387.81i 0.312656 0.863684i
\(87\) 4370.50 0.577421
\(88\) 3558.60 7389.52i 0.459530 0.954225i
\(89\) 1264.08 + 94.7295i 0.159586 + 0.0119593i 0.154283 0.988027i \(-0.450693\pi\)
0.00530235 + 0.999986i \(0.498312\pi\)
\(90\) −1133.40 1421.24i −0.139926 0.175462i
\(91\) −3512.09 + 11385.9i −0.424114 + 1.37495i
\(92\) 1137.27 1969.81i 0.134366 0.232728i
\(93\) 11758.8 6788.97i 1.35956 0.784943i
\(94\) 5776.52 1318.45i 0.653748 0.149214i
\(95\) 1819.96 + 274.314i 0.201657 + 0.0303949i
\(96\) −2810.12 2607.41i −0.304917 0.282922i
\(97\) −8959.57 + 11234.9i −0.952234 + 1.19406i 0.0286737 + 0.999589i \(0.490872\pi\)
−0.980908 + 0.194475i \(0.937700\pi\)
\(98\) 12364.4 + 18135.3i 1.28742 + 1.88830i
\(99\) −5770.71 + 5354.44i −0.588788 + 0.546315i
\(100\) 106.053 + 1415.18i 0.0106053 + 0.141518i
\(101\) −5589.02 + 14240.6i −0.547890 + 1.39600i 0.341946 + 0.939719i \(0.388914\pi\)
−0.889836 + 0.456280i \(0.849181\pi\)
\(102\) −910.842 + 3990.66i −0.0875473 + 0.383570i
\(103\) 9101.65 2807.49i 0.857918 0.264633i 0.165572 0.986198i \(-0.447053\pi\)
0.692347 + 0.721565i \(0.256577\pi\)
\(104\) 4985.53 7312.44i 0.460941 0.676076i
\(105\) 1250.85 + 8298.86i 0.113456 + 0.752731i
\(106\) −16557.0 + 6498.15i −1.47357 + 0.578333i
\(107\) −6655.38 + 3205.06i −0.581306 + 0.279942i −0.701339 0.712827i \(-0.747414\pi\)
0.120033 + 0.992770i \(0.461700\pi\)
\(108\) −206.757 429.335i −0.0177261 0.0368086i
\(109\) −1725.90 4397.51i −0.145265 0.370130i 0.839660 0.543113i \(-0.182755\pi\)
−0.984925 + 0.172983i \(0.944659\pi\)
\(110\) 3324.35 501.065i 0.274740 0.0414103i
\(111\) −7278.74 4962.56i −0.590759 0.402773i
\(112\) −5657.48 18341.1i −0.451011 1.46214i
\(113\) 4833.22 + 1103.15i 0.378512 + 0.0863929i 0.407544 0.913186i \(-0.366385\pi\)
−0.0290319 + 0.999578i \(0.509242\pi\)
\(114\) 10038.2 + 3939.69i 0.772404 + 0.303146i
\(115\) 6878.23 515.452i 0.520093 0.0389756i
\(116\) 614.727 + 662.518i 0.0456842 + 0.0492359i
\(117\) −7018.60 + 4785.20i −0.512718 + 0.349565i
\(118\) −10666.7 8506.45i −0.766069 0.610920i
\(119\) 5734.44 6180.26i 0.404946 0.436428i
\(120\) 929.091 6164.12i 0.0645202 0.428064i
\(121\) 18.3001 + 80.1780i 0.00124992 + 0.00547627i
\(122\) −9141.59 15833.7i −0.614189 1.06381i
\(123\) 5095.53 + 2941.90i 0.336805 + 0.194455i
\(124\) 2683.06 + 827.613i 0.174496 + 0.0538250i
\(125\) −7070.27 + 5638.35i −0.452497 + 0.360854i
\(126\) −1639.36 + 21875.8i −0.103260 + 1.37791i
\(127\) 21900.9 + 10546.9i 1.35786 + 0.653910i 0.964158 0.265330i \(-0.0854808\pi\)
0.393699 + 0.919239i \(0.371195\pi\)
\(128\) 11536.8i 0.704147i
\(129\) −22352.2 + 596.322i −1.34320 + 0.0358345i
\(130\) 3627.73 0.214659
\(131\) −1571.37 + 3262.98i −0.0915663 + 0.190139i −0.941722 0.336392i \(-0.890793\pi\)
0.850156 + 0.526531i \(0.176508\pi\)
\(132\) −3638.75 272.687i −0.208836 0.0156501i
\(133\) −13848.2 17365.1i −0.782869 0.981687i
\(134\) −1984.36 + 6433.14i −0.110512 + 0.358272i
\(135\) 722.529 1251.46i 0.0396449 0.0686670i
\(136\) −5423.19 + 3131.08i −0.293209 + 0.169284i
\(137\) 17516.6 3998.04i 0.933271 0.213013i 0.271259 0.962506i \(-0.412560\pi\)
0.662012 + 0.749493i \(0.269703\pi\)
\(138\) 39961.3 + 6023.19i 2.09836 + 0.316278i
\(139\) −20456.2 18980.6i −1.05876 0.982383i −0.0588832 0.998265i \(-0.518754\pi\)
−0.999874 + 0.0158819i \(0.994944\pi\)
\(140\) −1082.08 + 1356.88i −0.0552080 + 0.0692286i
\(141\) −10985.8 16113.2i −0.552577 0.810481i
\(142\) 10555.4 9794.01i 0.523479 0.485717i
\(143\) −1174.01 15666.0i −0.0574114 0.766102i
\(144\) 4999.20 12737.7i 0.241088 0.614282i
\(145\) −609.863 + 2671.99i −0.0290066 + 0.127086i
\(146\) 15729.6 4851.94i 0.737925 0.227620i
\(147\) 40696.4 59690.7i 1.88331 2.76231i
\(148\) −271.514 1801.38i −0.0123956 0.0822397i
\(149\) −16765.4 + 6579.94i −0.755164 + 0.296380i −0.711519 0.702667i \(-0.751992\pi\)
−0.0436454 + 0.999047i \(0.513897\pi\)
\(150\) −22717.5 + 10940.2i −1.00967 + 0.486230i
\(151\) 17661.1 + 36673.6i 0.774574 + 1.60842i 0.793479 + 0.608597i \(0.208267\pi\)
−0.0189057 + 0.999821i \(0.506018\pi\)
\(152\) 6027.18 + 15357.0i 0.260872 + 0.664690i
\(153\) 5943.39 895.822i 0.253893 0.0382683i
\(154\) −33520.8 22854.1i −1.41343 0.963658i
\(155\) 2509.72 + 8136.33i 0.104463 + 0.338661i
\(156\) −3838.76 876.173i −0.157740 0.0360031i
\(157\) −23090.4 9062.32i −0.936769 0.367655i −0.152660 0.988279i \(-0.548784\pi\)
−0.784108 + 0.620624i \(0.786879\pi\)
\(158\) 1026.25 76.9067i 0.0411091 0.00308070i
\(159\) 39819.2 + 42914.9i 1.57506 + 1.69752i
\(160\) 1986.21 1354.18i 0.0775864 0.0528975i
\(161\) −65077.4 51897.5i −2.51060 2.00214i
\(162\) 18965.4 20439.8i 0.722656 0.778837i
\(163\) −1818.79 + 12066.9i −0.0684552 + 0.454170i 0.928175 + 0.372144i \(0.121377\pi\)
−0.996630 + 0.0820264i \(0.973861\pi\)
\(164\) 270.746 + 1186.21i 0.0100664 + 0.0441037i
\(165\) −5532.70 9582.91i −0.203221 0.351990i
\(166\) 16151.9 + 9325.29i 0.586148 + 0.338412i
\(167\) −14644.5 4517.22i −0.525098 0.161971i 0.0208624 0.999782i \(-0.493359\pi\)
−0.545960 + 0.837811i \(0.683835\pi\)
\(168\) −58814.8 + 46903.2i −2.08386 + 1.66182i
\(169\) −867.530 + 11576.4i −0.0303746 + 0.405321i
\(170\) −2312.66 1113.72i −0.0800230 0.0385370i
\(171\) 15834.5i 0.541516i
\(172\) −3234.31 3304.46i −0.109326 0.111698i
\(173\) 26246.6 0.876964 0.438482 0.898740i \(-0.355516\pi\)
0.438482 + 0.898740i \(0.355516\pi\)
\(174\) −6967.22 + 14467.6i −0.230124 + 0.477856i
\(175\) 51788.7 + 3881.03i 1.69106 + 0.126727i
\(176\) 15778.3 + 19785.4i 0.509373 + 0.638733i
\(177\) −13236.2 + 42910.6i −0.422490 + 1.36968i
\(178\) −2328.71 + 4033.44i −0.0734979 + 0.127302i
\(179\) 43314.1 25007.4i 1.35183 0.780481i 0.363327 0.931662i \(-0.381641\pi\)
0.988506 + 0.151180i \(0.0483074\pi\)
\(180\) −1206.26 + 275.321i −0.0372303 + 0.00849757i
\(181\) 2542.43 + 383.209i 0.0776053 + 0.0116971i 0.187730 0.982221i \(-0.439887\pi\)
−0.110125 + 0.993918i \(0.535125\pi\)
\(182\) −32091.8 29776.8i −0.968838 0.898950i
\(183\) −37520.0 + 47048.6i −1.12037 + 1.40490i
\(184\) 34827.7 + 51082.8i 1.02870 + 1.50883i
\(185\) 4049.64 3757.51i 0.118324 0.109789i
\(186\) 3728.07 + 49747.7i 0.107760 + 1.43796i
\(187\) −4061.07 + 10347.4i −0.116134 + 0.295903i
\(188\) 897.384 3931.70i 0.0253900 0.111241i
\(189\) −16663.8 + 5140.09i −0.466498 + 0.143896i
\(190\) −3809.33 + 5587.27i −0.105522 + 0.154772i
\(191\) 4563.22 + 30275.0i 0.125085 + 0.829884i 0.960100 + 0.279657i \(0.0902208\pi\)
−0.835015 + 0.550227i \(0.814541\pi\)
\(192\) 50887.1 19971.7i 1.38040 0.541768i
\(193\) −24648.3 + 11870.0i −0.661717 + 0.318666i −0.734428 0.678687i \(-0.762549\pi\)
0.0727104 + 0.997353i \(0.476835\pi\)
\(194\) −22907.9 47568.8i −0.608671 1.26392i
\(195\) −4362.30 11115.0i −0.114722 0.292307i
\(196\) 14772.5 2226.60i 0.384541 0.0579602i
\(197\) 35563.2 + 24246.6i 0.916364 + 0.624766i 0.926953 0.375178i \(-0.122418\pi\)
−0.0105890 + 0.999944i \(0.503371\pi\)
\(198\) −8525.32 27638.4i −0.217461 0.704990i
\(199\) 33727.4 + 7698.06i 0.851681 + 0.194391i 0.626012 0.779813i \(-0.284686\pi\)
0.225669 + 0.974204i \(0.427543\pi\)
\(200\) −35908.2 14092.9i −0.897706 0.352323i
\(201\) 22096.6 1655.91i 0.546932 0.0409869i
\(202\) −38230.6 41202.8i −0.936933 1.00977i
\(203\) 27327.0 18631.2i 0.663131 0.452115i
\(204\) 2178.21 + 1737.06i 0.0523407 + 0.0417403i
\(205\) −2509.62 + 2704.73i −0.0597173 + 0.0643600i
\(206\) −5215.80 + 34604.6i −0.122910 + 0.815453i
\(207\) −13204.7 57853.5i −0.308168 1.35017i
\(208\) 13653.8 + 23649.0i 0.315592 + 0.546621i
\(209\) 25360.9 + 14642.1i 0.580593 + 0.335205i
\(210\) −29465.6 9088.94i −0.668154 0.206098i
\(211\) −8804.38 + 7021.25i −0.197758 + 0.157707i −0.717362 0.696700i \(-0.754651\pi\)
0.519604 + 0.854407i \(0.326079\pi\)
\(212\) −904.692 + 12072.3i −0.0201293 + 0.268607i
\(213\) −42700.5 20563.5i −0.941183 0.453250i
\(214\) 27140.5i 0.592639i
\(215\) 2754.47 13748.6i 0.0595883 0.297428i
\(216\) 12952.7 0.277622
\(217\) 44582.3 92576.1i 0.946766 1.96598i
\(218\) 17308.3 + 1297.08i 0.364202 + 0.0272931i
\(219\) −33780.5 42359.4i −0.704332 0.883205i
\(220\) 674.466 2186.57i 0.0139353 0.0451770i
\(221\) −5997.39 + 10387.8i −0.122794 + 0.212686i
\(222\) 28030.9 16183.6i 0.568762 0.328375i
\(223\) 41871.1 9556.81i 0.841986 0.192178i 0.220288 0.975435i \(-0.429300\pi\)
0.621698 + 0.783257i \(0.286443\pi\)
\(224\) −28685.8 4323.68i −0.571703 0.0861703i
\(225\) 27141.0 + 25183.2i 0.536119 + 0.497445i
\(226\) −11356.6 + 14240.7i −0.222347 + 0.278815i
\(227\) −47527.9 69710.7i −0.922353 1.35284i −0.935649 0.352932i \(-0.885185\pi\)
0.0132956 0.999912i \(-0.495768\pi\)
\(228\) 5380.37 4992.26i 0.103501 0.0960345i
\(229\) 4963.58 + 66234.4i 0.0946508 + 1.26303i 0.819081 + 0.573678i \(0.194484\pi\)
−0.724430 + 0.689348i \(0.757897\pi\)
\(230\) −9258.61 + 23590.6i −0.175021 + 0.445946i
\(231\) −29714.1 + 130186.i −0.556850 + 2.43972i
\(232\) −23474.8 + 7241.02i −0.436140 + 0.134531i
\(233\) 34486.1 50581.8i 0.635232 0.931714i −0.364768 0.931098i \(-0.618852\pi\)
1.00000 0.000615181i \(-0.000195818\pi\)
\(234\) −4651.67 30861.8i −0.0849527 0.563625i
\(235\) 11384.1 4467.91i 0.206139 0.0809038i
\(236\) −8366.48 + 4029.08i −0.150217 + 0.0723407i
\(237\) −1469.68 3051.83i −0.0261654 0.0543330i
\(238\) 11316.8 + 28834.8i 0.199789 + 0.509054i
\(239\) −47689.7 + 7188.06i −0.834888 + 0.125839i −0.552554 0.833477i \(-0.686347\pi\)
−0.282334 + 0.959316i \(0.591109\pi\)
\(240\) 15892.1 + 10835.0i 0.275904 + 0.188108i
\(241\) −18492.2 59950.3i −0.318386 1.03218i −0.963413 0.268023i \(-0.913630\pi\)
0.645026 0.764161i \(-0.276847\pi\)
\(242\) −294.585 67.2371i −0.00503014 0.00114810i
\(243\) −71063.0 27890.2i −1.20346 0.472323i
\(244\) −12409.4 + 929.954i −0.208435 + 0.0156200i
\(245\) 30814.2 + 33209.8i 0.513356 + 0.553266i
\(246\) −17861.5 + 12177.8i −0.295154 + 0.201233i
\(247\) 24705.7 + 19702.1i 0.404952 + 0.322938i
\(248\) −51911.1 + 55946.9i −0.844028 + 0.909646i
\(249\) 9149.22 60701.1i 0.147566 0.979035i
\(250\) −7393.47 32392.9i −0.118296 0.518287i
\(251\) −15123.4 26194.5i −0.240051 0.415780i 0.720678 0.693270i \(-0.243831\pi\)
−0.960728 + 0.277490i \(0.910497\pi\)
\(252\) 12930.8 + 7465.58i 0.203621 + 0.117561i
\(253\) 104870. + 32348.1i 1.63836 + 0.505368i
\(254\) −69826.4 + 55684.7i −1.08231 + 0.863115i
\(255\) −631.365 + 8424.98i −0.00970957 + 0.129565i
\(256\) 26974.4 + 12990.2i 0.411597 + 0.198215i
\(257\) 39132.5i 0.592477i 0.955114 + 0.296239i \(0.0957324\pi\)
−0.955114 + 0.296239i \(0.904268\pi\)
\(258\) 33658.6 74942.5i 0.505658 1.12587i
\(259\) −66666.2 −0.993816
\(260\) 1071.33 2224.64i 0.0158481 0.0329088i
\(261\) 23513.1 + 1762.06i 0.345167 + 0.0258667i
\(262\) −8296.39 10403.3i −0.120861 0.151555i
\(263\) 32302.5 104722.i 0.467009 1.51400i −0.349648 0.936881i \(-0.613699\pi\)
0.816657 0.577124i \(-0.195825\pi\)
\(264\) 49592.2 85896.2i 0.711550 1.23244i
\(265\) −31793.2 + 18355.8i −0.452734 + 0.261386i
\(266\) 79559.3 18158.9i 1.12442 0.256641i
\(267\) 15158.3 + 2284.74i 0.212631 + 0.0320490i
\(268\) 3358.98 + 3116.68i 0.0467669 + 0.0433933i
\(269\) 48651.0 61006.4i 0.672337 0.843084i −0.322286 0.946642i \(-0.604451\pi\)
0.994623 + 0.103558i \(0.0330227\pi\)
\(270\) 2990.85 + 4386.78i 0.0410268 + 0.0601753i
\(271\) −80294.6 + 74502.5i −1.09332 + 1.01445i −0.0934986 + 0.995619i \(0.529805\pi\)
−0.999823 + 0.0188344i \(0.994004\pi\)
\(272\) −1443.93 19267.9i −0.0195167 0.260433i
\(273\) −52642.9 + 134132.i −0.706341 + 1.79973i
\(274\) −14689.3 + 64358.2i −0.195660 + 0.857241i
\(275\) −65431.2 + 20182.9i −0.865206 + 0.266881i
\(276\) 15494.8 22726.7i 0.203408 0.298345i
\(277\) 15271.5 + 101320.i 0.199032 + 1.32049i 0.835629 + 0.549294i \(0.185103\pi\)
−0.636597 + 0.771197i \(0.719658\pi\)
\(278\) 95441.4 37458.0i 1.23494 0.484680i
\(279\) 65999.3 31783.6i 0.847873 0.408314i
\(280\) −20468.1 42502.4i −0.261072 0.542122i
\(281\) −33173.0 84523.4i −0.420119 1.07044i −0.971678 0.236309i \(-0.924062\pi\)
0.551559 0.834136i \(-0.314033\pi\)
\(282\) 70852.1 10679.2i 0.890952 0.134289i
\(283\) −7407.34 5050.24i −0.0924889 0.0630578i 0.516193 0.856473i \(-0.327349\pi\)
−0.608681 + 0.793415i \(0.708301\pi\)
\(284\) −2888.80 9365.25i −0.0358163 0.116113i
\(285\) 21699.4 + 4952.76i 0.267152 + 0.0609758i
\(286\) 53730.4 + 21087.6i 0.656883 + 0.257808i
\(287\) 44401.4 3327.43i 0.539055 0.0403966i
\(288\) −14067.1 15160.7i −0.169597 0.182782i
\(289\) −61995.9 + 42268.1i −0.742279 + 0.506077i
\(290\) −7872.81 6278.36i −0.0936125 0.0746535i
\(291\) −118199. + 127388.i −1.39582 + 1.50433i
\(292\) 1669.85 11078.7i 0.0195845 0.129935i
\(293\) −21231.8 93022.5i −0.247315 1.08356i −0.934188 0.356782i \(-0.883874\pi\)
0.686872 0.726778i \(-0.258983\pi\)
\(294\) 132717. + 229872.i 1.53543 + 2.65945i
\(295\) −24387.2 14080.0i −0.280232 0.161792i
\(296\) 47317.5 + 14595.5i 0.540055 + 0.166585i
\(297\) 17976.0 14335.4i 0.203789 0.162516i
\(298\) 4945.08 65987.6i 0.0556854 0.743070i
\(299\) 106696. + 51382.0i 1.19345 + 0.574736i
\(300\) 17161.9i 0.190688i
\(301\) −137217. + 99014.7i −1.51452 + 1.09286i
\(302\) −149554. −1.63977
\(303\) −80269.0 + 166680.i −0.874304 + 1.81551i
\(304\) −50760.4 3803.97i −0.549260 0.0411613i
\(305\) −23528.5 29503.8i −0.252926 0.317160i
\(306\) −6509.22 + 21102.4i −0.0695162 + 0.225366i
\(307\) 37953.5 65737.3i 0.402694 0.697486i −0.591356 0.806410i \(-0.701407\pi\)
0.994050 + 0.108925i \(0.0347407\pi\)
\(308\) −23914.1 + 13806.8i −0.252088 + 0.145543i
\(309\) 112296. 25630.9i 1.17611 0.268440i
\(310\) −30934.4 4662.61i −0.321898 0.0485183i
\(311\) 130642. + 121218.i 1.35071 + 1.25327i 0.939856 + 0.341570i \(0.110958\pi\)
0.410850 + 0.911703i \(0.365232\pi\)
\(312\) 66730.3 83677.2i 0.685510 0.859603i
\(313\) −20441.4 29982.0i −0.208651 0.306035i 0.707620 0.706593i \(-0.249769\pi\)
−0.916272 + 0.400558i \(0.868816\pi\)
\(314\) 66808.3 61989.1i 0.677597 0.628718i
\(315\) 3383.66 + 45151.9i 0.0341009 + 0.455045i
\(316\) 255.906 652.039i 0.00256275 0.00652979i
\(317\) 17271.7 75672.2i 0.171876 0.753039i −0.813349 0.581776i \(-0.802358\pi\)
0.985225 0.171263i \(-0.0547849\pi\)
\(318\) −205538. + 63400.1i −2.03253 + 0.626954i
\(319\) −24564.7 + 36029.8i −0.241396 + 0.354063i
\(320\) 5109.25 + 33897.7i 0.0498950 + 0.331032i
\(321\) −83155.5 + 32636.1i −0.807014 + 0.316729i
\(322\) 275538. 132692.i 2.65748 1.27977i
\(323\) −9701.19 20144.7i −0.0929865 0.193088i
\(324\) −6933.54 17666.4i −0.0660488 0.168290i
\(325\) −73062.3 + 11012.4i −0.691714 + 0.104259i
\(326\) −37045.3 25257.0i −0.348576 0.237655i
\(327\) −16838.9 54590.5i −0.157478 0.510530i
\(328\) −32243.2 7359.30i −0.299702 0.0684051i
\(329\) −137379. 53917.4i −1.26920 0.498123i
\(330\) 40542.1 3038.21i 0.372287 0.0278991i
\(331\) −113057. 121847.i −1.03191 1.11214i −0.993610 0.112870i \(-0.963996\pi\)
−0.0383020 0.999266i \(-0.512195\pi\)
\(332\) 10488.5 7150.92i 0.0951560 0.0648763i
\(333\) −37158.6 29633.0i −0.335097 0.267231i
\(334\) 38298.7 41276.1i 0.343313 0.370004i
\(335\) −2071.01 + 13740.2i −0.0184540 + 0.122435i
\(336\) −51649.9 226293.i −0.457500 2.00444i
\(337\) 64880.6 + 112377.i 0.571288 + 0.989500i 0.996434 + 0.0843751i \(0.0268894\pi\)
−0.425146 + 0.905125i \(0.639777\pi\)
\(338\) −36938.1 21326.2i −0.323326 0.186673i
\(339\) 57288.2 + 17671.1i 0.498501 + 0.153767i
\(340\) −1365.93 + 1089.30i −0.0118160 + 0.00942298i
\(341\) −10124.1 + 135096.i −0.0870655 + 1.16181i
\(342\) 52416.5 + 25242.5i 0.448143 + 0.215814i
\(343\) 326981.i 2.77929i
\(344\) 119070. 40235.9i 1.00620 0.340014i
\(345\) 83412.2 0.700796
\(346\) −41841.0 + 86883.7i −0.349502 + 0.725749i
\(347\) −151755. 11372.5i −1.26033 0.0944486i −0.572247 0.820082i \(-0.693928\pi\)
−0.688082 + 0.725633i \(0.741547\pi\)
\(348\) 6814.43 + 8545.03i 0.0562693 + 0.0705594i
\(349\) 28201.3 91426.4i 0.231536 0.750621i −0.763016 0.646380i \(-0.776282\pi\)
0.994552 0.104242i \(-0.0332416\pi\)
\(350\) −95406.0 + 165248.i −0.778825 + 1.34896i
\(351\) 21486.2 12405.1i 0.174400 0.100690i
\(352\) 37289.6 8511.10i 0.300955 0.0686911i
\(353\) 129922. + 19582.5i 1.04263 + 0.157152i 0.647964 0.761671i \(-0.275621\pi\)
0.394670 + 0.918823i \(0.370859\pi\)
\(354\) −120946. 112221.i −0.965126 0.895506i
\(355\) 18530.3 23236.3i 0.147037 0.184379i
\(356\) 1785.72 + 2619.18i 0.0140901 + 0.0206664i
\(357\) 74738.4 69347.1i 0.586418 0.544117i
\(358\) 13732.5 + 183247.i 0.107148 + 1.42979i
\(359\) 32099.1 81787.1i 0.249060 0.634594i −0.750598 0.660759i \(-0.770234\pi\)
0.999658 + 0.0261654i \(0.00832966\pi\)
\(360\) 7483.67 32788.1i 0.0577444 0.252995i
\(361\) 68244.4 21050.6i 0.523664 0.161529i
\(362\) −5321.53 + 7805.25i −0.0406087 + 0.0595621i
\(363\) 148.228 + 983.427i 0.00112491 + 0.00746327i
\(364\) −27737.3 + 10886.1i −0.209344 + 0.0821616i
\(365\) 30610.9 14741.5i 0.229769 0.110651i
\(366\) −95931.7 199204.i −0.716143 1.48709i
\(367\) 32023.7 + 81595.1i 0.237761 + 0.605804i 0.999094 0.0425565i \(-0.0135502\pi\)
−0.761334 + 0.648360i \(0.775455\pi\)
\(368\) −188633. + 28431.8i −1.39290 + 0.209946i
\(369\) 26227.6 + 17881.7i 0.192622 + 0.131328i
\(370\) 5982.71 + 19395.5i 0.0437013 + 0.141676i
\(371\) 431917. + 98582.3i 3.13800 + 0.716228i
\(372\) 31607.8 + 12405.1i 0.228406 + 0.0896429i
\(373\) −32323.7 + 2422.32i −0.232329 + 0.0174106i −0.190386 0.981709i \(-0.560974\pi\)
−0.0419431 + 0.999120i \(0.513355\pi\)
\(374\) −27779.0 29938.6i −0.198597 0.214037i
\(375\) −90357.8 + 61604.9i −0.642544 + 0.438079i
\(376\) 85702.9 + 68345.8i 0.606206 + 0.483433i
\(377\) −32005.6 + 34493.8i −0.225187 + 0.242694i
\(378\) 9549.35 63355.8i 0.0668329 0.443407i
\(379\) −14818.1 64922.4i −0.103161 0.451977i −0.999955 0.00952829i \(-0.996967\pi\)
0.896794 0.442449i \(-0.145890\pi\)
\(380\) 2301.33 + 3986.01i 0.0159372 + 0.0276040i
\(381\) 254577. + 146980.i 1.75376 + 1.01253i
\(382\) −107493. 33157.3i −0.736638 0.227223i
\(383\) −48641.8 + 38790.6i −0.331598 + 0.264441i −0.775108 0.631829i \(-0.782305\pi\)
0.443510 + 0.896270i \(0.353733\pi\)
\(384\) −10426.0 + 139125.i −0.0707056 + 0.943501i
\(385\) −75445.2 36332.5i −0.508991 0.245117i
\(386\) 100515.i 0.674618i
\(387\) −120494. 5803.58i −0.804533 0.0387502i
\(388\) −35935.8 −0.238706
\(389\) 18859.3 39161.8i 0.124631 0.258800i −0.829312 0.558785i \(-0.811268\pi\)
0.953944 + 0.299986i \(0.0969819\pi\)
\(390\) 43747.8 + 3278.44i 0.287625 + 0.0215545i
\(391\) −52243.8 65511.6i −0.341728 0.428514i
\(392\) −119693. + 388036.i −0.778928 + 2.52522i
\(393\) −21898.4 + 37929.1i −0.141784 + 0.245577i
\(394\) −136956. + 79071.5i −0.882243 + 0.509363i
\(395\) 2070.87 472.663i 0.0132727 0.00302941i
\(396\) −19466.4 2934.09i −0.124135 0.0187104i
\(397\) 144834. + 134386.i 0.918945 + 0.852656i 0.989453 0.144855i \(-0.0462716\pi\)
−0.0705082 + 0.997511i \(0.522462\pi\)
\(398\) −79249.2 + 99375.3i −0.500298 + 0.627354i
\(399\) −151306. 221925.i −0.950408 1.39399i
\(400\) 87249.6 80955.8i 0.545310 0.505974i
\(401\) −6196.65 82688.5i −0.0385361 0.514229i −0.982755 0.184911i \(-0.940800\pi\)
0.944219 0.329318i \(-0.106819\pi\)
\(402\) −29743.7 + 75785.7i −0.184053 + 0.468959i
\(403\) −32529.7 + 142522.i −0.200295 + 0.877550i
\(404\) −36557.0 + 11276.3i −0.223979 + 0.0690884i
\(405\) 32419.8 47551.1i 0.197651 0.289901i
\(406\) 18111.3 + 120161.i 0.109875 + 0.728972i
\(407\) 81821.3 32112.5i 0.493944 0.193859i
\(408\) −68229.3 + 32857.5i −0.409874 + 0.197385i
\(409\) −97463.8 202386.i −0.582635 1.20986i −0.959006 0.283386i \(-0.908542\pi\)
0.376370 0.926469i \(-0.377172\pi\)
\(410\) −4952.70 12619.3i −0.0294628 0.0750701i
\(411\) 214850. 32383.4i 1.27190 0.191708i
\(412\) 19680.3 + 13417.8i 0.115941 + 0.0790472i
\(413\) 100165. + 324728.i 0.587242 + 1.90379i
\(414\) 212562. + 48515.8i 1.24018 + 0.283063i
\(415\) 35834.1 + 14063.8i 0.208065 + 0.0816596i
\(416\) 41157.5 3084.33i 0.237828 0.0178227i
\(417\) −229534. 247379.i −1.32000 1.42263i
\(418\) −88898.4 + 60609.9i −0.508793 + 0.346889i
\(419\) 60042.6 + 47882.3i 0.342004 + 0.272739i 0.779396 0.626532i \(-0.215526\pi\)
−0.437392 + 0.899271i \(0.644098\pi\)
\(420\) −14275.3 + 15385.1i −0.0809257 + 0.0872172i
\(421\) 17525.1 116272.i 0.0988774 0.656009i −0.883406 0.468608i \(-0.844756\pi\)
0.982284 0.187401i \(-0.0600063\pi\)
\(422\) −9206.85 40337.9i −0.0516995 0.226510i
\(423\) −52606.7 91117.4i −0.294009 0.509238i
\(424\) −284978. 164532.i −1.58518 0.915206i
\(425\) 49957.8 + 15409.9i 0.276583 + 0.0853145i
\(426\) 136142. 108569.i 0.750192 0.598258i
\(427\) −34031.7 + 454122.i −0.186650 + 2.49067i
\(428\) −16643.4 8015.04i −0.0908561 0.0437540i
\(429\) 189982.i 1.03228i
\(430\) 41120.7 + 31035.4i 0.222395 + 0.167849i
\(431\) −293002. −1.57731 −0.788654 0.614837i \(-0.789222\pi\)
−0.788654 + 0.614837i \(0.789222\pi\)
\(432\) −17340.5 + 36007.8i −0.0929165 + 0.192943i
\(433\) 132438. + 9924.89i 0.706380 + 0.0529358i 0.423076 0.906094i \(-0.360950\pi\)
0.283304 + 0.959030i \(0.408569\pi\)
\(434\) 235382. + 295160.i 1.24967 + 1.56703i
\(435\) −9769.23 + 31671.1i −0.0516276 + 0.167373i
\(436\) 5906.84 10230.9i 0.0310729 0.0538199i
\(437\) −191173. + 110374.i −1.00107 + 0.577968i
\(438\) 194072. 44295.8i 1.01162 0.230895i
\(439\) 14058.3 + 2118.95i 0.0729464 + 0.0109949i 0.185414 0.982660i \(-0.440637\pi\)
−0.112468 + 0.993655i \(0.535875\pi\)
\(440\) 45594.1 + 42305.1i 0.235507 + 0.218518i
\(441\) 243011. 304726.i 1.24953 1.56687i
\(442\) −24825.8 36412.7i −0.127074 0.186384i
\(443\) 99777.3 92579.8i 0.508422 0.471746i −0.383754 0.923435i \(-0.625369\pi\)
0.892175 + 0.451689i \(0.149178\pi\)
\(444\) −1646.32 21968.7i −0.00835121 0.111439i
\(445\) −3512.01 + 8948.46i −0.0177352 + 0.0451885i
\(446\) −35113.0 + 153840.i −0.176522 + 0.773392i
\(447\) −208125. + 64198.1i −1.04162 + 0.321297i
\(448\) 233038. 341804.i 1.16110 1.70303i
\(449\) −3772.28 25027.4i −0.0187116 0.124143i 0.977525 0.210820i \(-0.0676134\pi\)
−0.996236 + 0.0866767i \(0.972375\pi\)
\(450\) −126630. + 49698.7i −0.625334 + 0.245425i
\(451\) −52892.4 + 25471.6i −0.260040 + 0.125229i
\(452\) 5379.06 + 11169.7i 0.0263287 + 0.0546722i
\(453\) 179837. + 458217.i 0.876360 + 2.23293i
\(454\) 306528. 46201.7i 1.48716 0.224154i
\(455\) −74658.2 50901.1i −0.360624 0.245869i
\(456\) 58805.0 + 190641.i 0.282803 + 0.916826i
\(457\) −132046. 30138.7i −0.632257 0.144308i −0.105630 0.994405i \(-0.533686\pi\)
−0.526626 + 0.850097i \(0.676543\pi\)
\(458\) −227167. 89156.5i −1.08296 0.425032i
\(459\) −17505.8 + 1311.88i −0.0830914 + 0.00622684i
\(460\) 11732.2 + 12644.3i 0.0554454 + 0.0597559i
\(461\) −108003. + 73635.5i −0.508201 + 0.346486i −0.790120 0.612953i \(-0.789982\pi\)
0.281918 + 0.959438i \(0.409029\pi\)
\(462\) −383583. 305897.i −1.79711 1.43315i
\(463\) 175923. 189600.i 0.820656 0.884457i −0.174308 0.984691i \(-0.555769\pi\)
0.994964 + 0.100234i \(0.0319593\pi\)
\(464\) 11297.3 74952.4i 0.0524732 0.348137i
\(465\) 22912.5 + 100386.i 0.105966 + 0.464268i
\(466\) 112464. + 194793.i 0.517895 + 0.897021i
\(467\) 96606.2 + 55775.6i 0.442967 + 0.255747i 0.704855 0.709351i \(-0.251012\pi\)
−0.261888 + 0.965098i \(0.584345\pi\)
\(468\) −20299.1 6261.46i −0.0926800 0.0285880i
\(469\) 131102. 104550.i 0.596024 0.475313i
\(470\) −3357.81 + 44806.9i −0.0152006 + 0.202838i
\(471\) −270264. 130152.i −1.21828 0.586691i
\(472\) 252411.i 1.13298i
\(473\) 120716. 187620.i 0.539563 0.838603i
\(474\) 12445.3 0.0553922
\(475\) 59759.1 124091.i 0.264860 0.549988i
\(476\) 21024.5 + 1575.57i 0.0927921 + 0.00695381i
\(477\) 196924. + 246934.i 0.865488 + 1.08529i
\(478\) 52229.8 169325.i 0.228593 0.741080i
\(479\) 91179.1 157927.i 0.397397 0.688312i −0.596007 0.802979i \(-0.703247\pi\)
0.993404 + 0.114668i \(0.0365803\pi\)
\(480\) 25176.1 14535.4i 0.109271 0.0630877i
\(481\) 92469.5 21105.6i 0.399676 0.0912235i
\(482\) 227931. + 34355.1i 0.981093 + 0.147876i
\(483\) −737885. 684657.i −3.16297 2.93480i
\(484\) −128.228 + 160.792i −0.000547382 + 0.000686396i
\(485\) −61387.6 90039.1i −0.260974 0.382778i
\(486\) 205609. 190777.i 0.870503 0.807708i
\(487\) 5077.65 + 67756.5i 0.0214094 + 0.285689i 0.997625 + 0.0688850i \(0.0219441\pi\)
−0.976215 + 0.216804i \(0.930437\pi\)
\(488\) 123577. 314870.i 0.518919 1.32218i
\(489\) −32838.3 + 143874.i −0.137329 + 0.601678i
\(490\) −159056. + 49062.3i −0.662457 + 0.204341i
\(491\) −83191.6 + 122020.i −0.345078 + 0.506136i −0.959067 0.283178i \(-0.908611\pi\)
0.613990 + 0.789314i \(0.289564\pi\)
\(492\) 2192.99 + 14549.6i 0.00905955 + 0.0601062i
\(493\) 30993.1 12163.9i 0.127518 0.0500471i
\(494\) −104604. + 50374.7i −0.428642 + 0.206423i
\(495\) −25902.1 53786.3i −0.105712 0.219514i
\(496\) −86033.0 219209.i −0.349705 0.891034i
\(497\) −354650. + 53454.9i −1.43578 + 0.216409i
\(498\) 186353. + 127053.i 0.751409 + 0.512302i
\(499\) 77345.9 + 250749.i 0.310625 + 1.00702i 0.967468 + 0.252993i \(0.0814151\pi\)
−0.656843 + 0.754027i \(0.728109\pi\)
\(500\) −22047.8 5032.26i −0.0881910 0.0201290i
\(501\) −172519. 67708.8i −0.687325 0.269755i
\(502\) 110820. 8304.83i 0.439756 0.0329551i
\(503\) 337629. + 363877.i 1.33445 + 1.43820i 0.809567 + 0.587027i \(0.199702\pi\)
0.524887 + 0.851172i \(0.324108\pi\)
\(504\) −335331. + 228625.i −1.32012 + 0.900041i
\(505\) −90702.3 72332.6i −0.355660 0.283630i
\(506\) −274259. + 295581.i −1.07117 + 1.15445i
\(507\) −20923.6 + 138819.i −0.0813991 + 0.540048i
\(508\) 13526.7 + 59264.3i 0.0524161 + 0.229650i
\(509\) −57967.8 100403.i −0.223744 0.387536i 0.732198 0.681092i \(-0.238495\pi\)
−0.955942 + 0.293556i \(0.905161\pi\)
\(510\) −26882.5 15520.6i −0.103355 0.0596718i
\(511\) −391791. 120852.i −1.50042 0.462819i
\(512\) −230319. + 183673.i −0.878598 + 0.700658i
\(513\) −3456.09 + 46118.2i −0.0131326 + 0.175242i
\(514\) −129540. 62383.0i −0.490317 0.236124i
\(515\) 72231.1i 0.272339i
\(516\) −36017.1 42772.3i −0.135273 0.160643i
\(517\) 194581. 0.727980
\(518\) 106276. 220684.i 0.396072 0.822452i
\(519\) 316515. + 23719.6i 1.17506 + 0.0880586i
\(520\) 41846.0 + 52473.2i 0.154756 + 0.194058i
\(521\) 76016.8 246440.i 0.280049 0.907897i −0.700838 0.713320i \(-0.747191\pi\)
0.980887 0.194577i \(-0.0623333\pi\)
\(522\) −43316.3 + 75026.0i −0.158968 + 0.275341i
\(523\) 188805. 109007.i 0.690255 0.398519i −0.113452 0.993543i \(-0.536191\pi\)
0.803708 + 0.595024i \(0.202858\pi\)
\(524\) −8829.71 + 2015.32i −0.0321576 + 0.00733977i
\(525\) 621026. + 93604.7i 2.25316 + 0.339609i
\(526\) 295165. + 273873.i 1.06682 + 0.989869i
\(527\) 64492.1 80870.5i 0.232212 0.291185i
\(528\) 172395. + 252857.i 0.618381 + 0.906999i
\(529\) −401298. + 372350.i −1.43402 + 1.33058i
\(530\) −10079.9 134506.i −0.0358841 0.478841i
\(531\) −88510.5 + 225521.i −0.313910 + 0.799830i
\(532\) 12359.6 54150.8i 0.0436697 0.191329i
\(533\) −60533.7 + 18672.2i −0.213080 + 0.0657265i
\(534\) −31727.6 + 46535.8i −0.111264 + 0.163194i
\(535\) −8349.11 55392.7i −0.0291697 0.193529i
\(536\) −115942. + 45503.7i −0.403561 + 0.158386i
\(537\) 544936. 262427.i 1.88972 0.910040i
\(538\) 124391. + 258302.i 0.429760 + 0.892406i
\(539\) 263345. + 670991.i 0.906456 + 2.30961i
\(540\) 3573.36 538.597i 0.0122543 0.00184704i
\(541\) −308436. 210288.i −1.05383 0.718490i −0.0930113 0.995665i \(-0.529649\pi\)
−0.960819 + 0.277175i \(0.910602\pi\)
\(542\) −118623. 384566.i −0.403803 1.30910i
\(543\) 30313.5 + 6918.86i 0.102810 + 0.0234658i
\(544\) −27184.6 10669.2i −0.0918598 0.0360523i
\(545\) 35724.6 2677.19i 0.120275 0.00901335i
\(546\) −360094. 388089.i −1.20790 1.30180i
\(547\) 43560.4 29699.0i 0.145585 0.0992583i −0.488337 0.872655i \(-0.662396\pi\)
0.633922 + 0.773397i \(0.281444\pi\)
\(548\) 35128.4 + 28014.0i 0.116976 + 0.0932854i
\(549\) −220825. + 237993.i −0.732662 + 0.789621i
\(550\) 37496.1 248770.i 0.123954 0.822380i
\(551\) −19518.0 85514.2i −0.0642885 0.281666i
\(552\) 373832. + 647496.i 1.22687 + 2.12500i
\(553\) −22199.1 12816.7i −0.0725915 0.0419107i
\(554\) −359743. 110966.i −1.17212 0.361551i
\(555\) 52231.4 41653.1i 0.169569 0.135227i
\(556\) 5215.02 69589.6i 0.0168697 0.225110i
\(557\) 80607.4 + 38818.5i 0.259815 + 0.125120i 0.559257 0.828994i \(-0.311086\pi\)
−0.299442 + 0.954114i \(0.596801\pi\)
\(558\) 269144.i 0.864402i
\(559\) 158981. 180780.i 0.508769 0.578530i
\(560\) 145556. 0.464144
\(561\) −58324.7 + 121113.i −0.185322 + 0.384825i
\(562\) 332679. + 24930.8i 1.05330 + 0.0789340i
\(563\) 178735. + 224126.i 0.563887 + 0.707092i 0.979271 0.202554i \(-0.0649241\pi\)
−0.415384 + 0.909646i \(0.636353\pi\)
\(564\) 14374.9 46602.4i 0.0451906 0.146504i
\(565\) −18797.6 + 32558.4i −0.0588850 + 0.101992i
\(566\) 28526.1 16469.5i 0.0890450 0.0514101i
\(567\) −677098. + 154543.i −2.10613 + 0.480711i
\(568\) 263422. + 39704.5i 0.816499 + 0.123067i
\(569\) −37542.6 34834.4i −0.115958 0.107593i 0.620063 0.784552i \(-0.287107\pi\)
−0.736021 + 0.676959i \(0.763297\pi\)
\(570\) −50987.1 + 63935.8i −0.156932 + 0.196786i
\(571\) 58938.2 + 86446.5i 0.180769 + 0.265140i 0.905919 0.423452i \(-0.139182\pi\)
−0.725149 + 0.688592i \(0.758229\pi\)
\(572\) 28799.1 26721.6i 0.0880210 0.0816716i
\(573\) 27669.1 + 369218.i 0.0842725 + 1.12454i
\(574\) −59767.7 + 152286.i −0.181402 + 0.462205i
\(575\) 114856. 503218.i 0.347392 1.52202i
\(576\) 281823. 86930.8i 0.849437 0.262017i
\(577\) 127662. 187246.i 0.383452 0.562421i −0.585185 0.810900i \(-0.698978\pi\)
0.968637 + 0.248479i \(0.0799306\pi\)
\(578\) −41088.6 272605.i −0.122989 0.815978i
\(579\) −307968. + 120868.i −0.918646 + 0.360542i
\(580\) −6175.05 + 2973.75i −0.0183563 + 0.00883992i
\(581\) −201559. 418542.i −0.597105 1.23990i
\(582\) −233264. 594348.i −0.688656 1.75467i
\(583\) −577591. + 87057.8i −1.69935 + 0.256136i
\(584\) 251622. + 171553.i 0.737774 + 0.503006i
\(585\) −18987.8 61556.8i −0.0554833 0.179872i
\(586\) 341777. + 78008.4i 0.995286 + 0.227167i
\(587\) −116300. 45644.4i −0.337523 0.132468i 0.190525 0.981682i \(-0.438981\pi\)
−0.528048 + 0.849214i \(0.677076\pi\)
\(588\) 180158. 13501.0i 0.521074 0.0390491i
\(589\) −185348. 199757.i −0.534265 0.575801i
\(590\) 85485.4 58283.0i 0.245577 0.167432i
\(591\) 406954. + 324535.i 1.16512 + 0.929151i
\(592\) −103921. + 112000.i −0.296523 + 0.319576i
\(593\) 24708.8 163932.i 0.0702655 0.466181i −0.925833 0.377933i \(-0.876635\pi\)
0.996099 0.0882483i \(-0.0281269\pi\)
\(594\) 18797.7 + 82358.3i 0.0532761 + 0.233418i
\(595\) 31967.6 + 55369.5i 0.0902975 + 0.156400i
\(596\) −39005.2 22519.7i −0.109807 0.0633972i
\(597\) 399771. + 123313.i 1.12166 + 0.345988i
\(598\) −340177. + 271282.i −0.951269 + 0.758611i
\(599\) −3087.55 + 41200.5i −0.00860519 + 0.114828i −0.999852 0.0171920i \(-0.994527\pi\)
0.991247 + 0.132020i \(0.0421464\pi\)
\(600\) −420291. 202401.i −1.16748 0.562226i
\(601\) 461436.i 1.27751i 0.769412 + 0.638753i \(0.220549\pi\)
−0.769412 + 0.638753i \(0.779451\pi\)
\(602\) −109022. 612070.i −0.300831 1.68892i
\(603\) 119546. 0.328777
\(604\) −44165.8 + 91711.1i −0.121063 + 0.251390i
\(605\) −621.920 46.6065i −0.00169912 0.000127331i
\(606\) −423798. 531426.i −1.15402 1.44710i
\(607\) 36897.9 119620.i 0.100144 0.324658i −0.891612 0.452800i \(-0.850425\pi\)
0.991756 + 0.128142i \(0.0409013\pi\)
\(608\) −38467.5 + 66627.7i −0.104061 + 0.180238i
\(609\) 346381. 199983.i 0.933940 0.539211i
\(610\) 135174. 30852.5i 0.363272 0.0829145i
\(611\) 207622. + 31294.0i 0.556148 + 0.0838258i
\(612\) 11018.3 + 10223.5i 0.0294180 + 0.0272959i
\(613\) −55605.1 + 69726.6i −0.147977 + 0.185557i −0.850295 0.526306i \(-0.823577\pi\)
0.702319 + 0.711863i \(0.252148\pi\)
\(614\) 157106. + 230432.i 0.416730 + 0.611231i
\(615\) −32708.5 + 30349.1i −0.0864790 + 0.0802408i
\(616\) −56091.1 748483.i −0.147820 1.97252i
\(617\) −908.788 + 2315.55i −0.00238722 + 0.00608253i −0.932062 0.362298i \(-0.881992\pi\)
0.929675 + 0.368380i \(0.120088\pi\)
\(618\) −94171.5 + 412592.i −0.246571 + 1.08030i
\(619\) −430741. + 132866.i −1.12418 + 0.346762i −0.800457 0.599391i \(-0.795410\pi\)
−0.323720 + 0.946153i \(0.604933\pi\)
\(620\) −11994.7 + 17593.0i −0.0312037 + 0.0457674i
\(621\) 25831.6 + 171382.i 0.0669836 + 0.444407i
\(622\) −609527. + 239222.i −1.57548 + 0.618329i
\(623\) 104518. 50333.3i 0.269287 0.129682i
\(624\) 143282. + 297529.i 0.367979 + 0.764117i
\(625\) 104525. + 266326.i 0.267584 + 0.681794i
\(626\) 131835. 19871.0i 0.336421 0.0507073i
\(627\) 292601. + 199492.i 0.744288 + 0.507447i
\(628\) −18284.0 59275.3i −0.0463609 0.150298i
\(629\) −65428.4 14933.6i −0.165373 0.0377453i
\(630\) −154859. 60777.8i −0.390172 0.153131i
\(631\) −564339. + 42291.3i −1.41736 + 0.106217i −0.761256 0.648452i \(-0.775417\pi\)
−0.656107 + 0.754668i \(0.727798\pi\)
\(632\) 12950.2 + 13957.0i 0.0324222 + 0.0349428i
\(633\) −112520. + 76714.6i −0.280815 + 0.191457i
\(634\) 222962. + 177807.i 0.554694 + 0.442353i
\(635\) −125383. + 135131.i −0.310950 + 0.335125i
\(636\) −21819.9 + 144765.i −0.0539433 + 0.357891i
\(637\) 173080. + 758313.i 0.426548 + 1.86883i
\(638\) −80109.0 138753.i −0.196807 0.340879i
\(639\) −221436. 127846.i −0.542310 0.313103i
\(640\) −83601.7 25787.7i −0.204106 0.0629582i
\(641\) −347032. + 276749.i −0.844606 + 0.673551i −0.947014 0.321192i \(-0.895917\pi\)
0.102408 + 0.994742i \(0.467345\pi\)
\(642\) 24527.3 327295.i 0.0595087 0.794089i
\(643\) −152688. 73530.6i −0.369303 0.177847i 0.240022 0.970767i \(-0.422845\pi\)
−0.609325 + 0.792920i \(0.708560\pi\)
\(644\) 208155.i 0.501897i
\(645\) 45641.7 163309.i 0.109709 0.392546i
\(646\) 82149.8 0.196853
\(647\) 194855. 404620.i 0.465481 0.966582i −0.527637 0.849470i \(-0.676922\pi\)
0.993119 0.117112i \(-0.0373637\pi\)
\(648\) 514417. + 38550.2i 1.22508 + 0.0918072i
\(649\) −279354. 350299.i −0.663233 0.831668i
\(650\) 80018.0 259412.i 0.189392 0.613993i
\(651\) 621292. 1.07611e6i 1.46600 2.53919i
\(652\) −26428.5 + 15258.5i −0.0621694 + 0.0358935i
\(653\) 177225. 40450.4i 0.415622 0.0948630i −0.00959599 0.999954i \(-0.503055\pi\)
0.425218 + 0.905091i \(0.360197\pi\)
\(654\) 207554. + 31283.7i 0.485260 + 0.0731412i
\(655\) −20132.9 18680.6i −0.0469272 0.0435421i
\(656\) 63623.9 79781.8i 0.147847 0.185394i
\(657\) −164660. 241511.i −0.381466 0.559508i
\(658\) 397484. 368812.i 0.918054 0.851830i
\(659\) −46344.1 618419.i −0.106715 1.42401i −0.751545 0.659682i \(-0.770691\pi\)
0.644830 0.764326i \(-0.276928\pi\)
\(660\) 10109.6 25758.9i 0.0232085 0.0591342i
\(661\) 131.057 574.199i 0.000299956 0.00131419i −0.974778 0.223178i \(-0.928357\pi\)
0.975078 + 0.221864i \(0.0712140\pi\)
\(662\) 583577. 180010.i 1.33163 0.410752i
\(663\) −81711.8 + 119849.i −0.185891 + 0.272652i
\(664\) 51427.0 + 341196.i 0.116642 + 0.773869i
\(665\) 156791. 61536.0i 0.354551 0.139151i
\(666\) 157330. 75766.0i 0.354701 0.170815i
\(667\) −142624. 296162.i −0.320583 0.665698i
\(668\) −14001.6 35675.4i −0.0313779 0.0799496i
\(669\) 513572. 77408.5i 1.14749 0.172956i
\(670\) −42182.5 28759.5i −0.0939686 0.0640667i
\(671\) −176978. 573750.i −0.393075 1.27432i
\(672\) −342022. 78064.3i −0.757383 0.172868i
\(673\) −155704. 61109.2i −0.343770 0.134920i 0.187174 0.982327i \(-0.440067\pi\)
−0.530944 + 0.847407i \(0.678163\pi\)
\(674\) −475427. + 35628.3i −1.04656 + 0.0784288i
\(675\) −73552.2 79270.4i −0.161431 0.173982i
\(676\) −23986.3 + 16353.6i −0.0524892 + 0.0357866i
\(677\) 24718.7 + 19712.5i 0.0539323 + 0.0430095i 0.650085 0.759862i \(-0.274733\pi\)
−0.596153 + 0.802871i \(0.703305\pi\)
\(678\) −149822. + 161470.i −0.325924 + 0.351262i
\(679\) −196001. + 1.30038e6i −0.425128 + 2.82054i
\(680\) −10567.3 46298.2i −0.0228531 0.100126i
\(681\) −510154. 883612.i −1.10004 1.90532i
\(682\) −431067. 248877.i −0.926779 0.535076i
\(683\) −98935.9 30517.7i −0.212086 0.0654199i 0.186892 0.982381i \(-0.440159\pi\)
−0.398978 + 0.916961i \(0.630635\pi\)
\(684\) 30958.9 24688.9i 0.0661719 0.0527703i
\(685\) −10182.2 + 135871.i −0.0216999 + 0.289566i
\(686\) 1.08240e6 + 521256.i 2.30006 + 1.10765i
\(687\) 803224.i 1.70186i
\(688\) −47551.2 + 384873.i −0.100458 + 0.813093i
\(689\) −630302. −1.32773
\(690\) −132971. + 276118.i −0.279293 + 0.579958i
\(691\) 750019. + 56206.2i 1.57078 + 0.117714i 0.831440 0.555615i \(-0.187517\pi\)
0.739343 + 0.673329i \(0.235136\pi\)
\(692\) 40923.5 + 51316.4i 0.0854595 + 0.107163i
\(693\) −212348. + 688415.i −0.442162 + 1.43345i
\(694\) 279566. 484222.i 0.580450 1.00537i
\(695\) 183269. 105811.i 0.379420 0.219058i
\(696\) −289633. + 66106.8i −0.597901 + 0.136467i
\(697\) 44322.4 + 6680.53i 0.0912342 + 0.0137513i
\(698\) 257690. + 239101.i 0.528916 + 0.490762i
\(699\) 461589. 578814.i 0.944715 1.18464i
\(700\) 73160.3 + 107306.i 0.149307 + 0.218993i
\(701\) −391283. + 363058.i −0.796261 + 0.738822i −0.969244 0.246103i \(-0.920850\pi\)
0.172983 + 0.984925i \(0.444659\pi\)
\(702\) 6812.09 + 90901.0i 0.0138231 + 0.184457i
\(703\) −64592.7 + 164580.i −0.130699 + 0.333016i
\(704\) −121370. + 531759.i −0.244888 + 1.07292i
\(705\) 141321. 43591.8i 0.284334 0.0877054i
\(706\) −271938. + 398859.i −0.545582 + 0.800222i
\(707\) 208660. + 1.38437e6i 0.417446 + 2.76957i
\(708\) −104535. + 41026.9i −0.208542 + 0.0818469i
\(709\) 492110. 236987.i 0.978970 0.471447i 0.125219 0.992129i \(-0.460037\pi\)
0.853751 + 0.520682i \(0.174322\pi\)
\(710\) 47378.6 + 98382.7i 0.0939865 + 0.195165i
\(711\) −6676.43 17011.3i −0.0132070 0.0336510i
\(712\) −85203.2 + 12842.3i −0.168072 + 0.0253328i
\(713\) −843777. 575277.i −1.65977 1.13161i
\(714\) 110414. + 357955.i 0.216585 + 0.702152i
\(715\) 116149. + 26510.2i 0.227197 + 0.0518562i
\(716\) 116428. + 45694.7i 0.227108 + 0.0891333i
\(717\) −581599. + 43584.8i −1.13132 + 0.0847806i
\(718\) 219568. + 236638.i 0.425911 + 0.459023i
\(719\) 317886. 216731.i 0.614912 0.419240i −0.215410 0.976524i \(-0.569109\pi\)
0.830322 + 0.557284i \(0.188156\pi\)
\(720\) 81130.2 + 64699.2i 0.156501 + 0.124806i
\(721\) 592881. 638974.i 1.14050 1.22917i
\(722\) −39108.2 + 259466.i −0.0750228 + 0.497744i
\(723\) −168824. 739668.i −0.322967 1.41501i
\(724\) 3214.89 + 5568.35i 0.00613322 + 0.0106230i
\(725\) 177617. + 102547.i 0.337915 + 0.195095i
\(726\) −3491.72 1077.05i −0.00662469 0.00204345i
\(727\) 700466. 558603.i 1.32531 1.05690i 0.331780 0.943357i \(-0.392351\pi\)
0.993533 0.113545i \(-0.0362205\pi\)
\(728\) 60526.3 807667.i 0.114204 1.52395i
\(729\) −277927. 133842.i −0.522968 0.251848i
\(730\) 124831.i 0.234248i
\(731\) −156849. + 66438.9i −0.293526 + 0.124333i
\(732\) −150488. −0.280854
\(733\) −393454. + 817017.i −0.732296 + 1.52063i 0.117244 + 0.993103i \(0.462594\pi\)
−0.849540 + 0.527525i \(0.823120\pi\)
\(734\) −321153. 24067.1i −0.596101 0.0446716i
\(735\) 341584. + 428333.i 0.632300 + 0.792879i
\(736\) −84984.3 + 275512.i −0.156886 + 0.508611i
\(737\) −110544. + 191468.i −0.203517 + 0.352502i
\(738\) −101004. + 58314.8i −0.185450 + 0.107069i
\(739\) 761091. 173714.i 1.39363 0.318087i 0.541185 0.840904i \(-0.317976\pi\)
0.852445 + 0.522817i \(0.175119\pi\)
\(740\) 13660.7 + 2059.02i 0.0249465 + 0.00376007i
\(741\) 280127. + 259920.i 0.510175 + 0.473373i
\(742\) −1.01487e6 + 1.27261e6i −1.84334 + 2.31147i
\(743\) 184089. + 270009.i 0.333465 + 0.489103i 0.955950 0.293528i \(-0.0948294\pi\)
−0.622485 + 0.782631i \(0.713877\pi\)
\(744\) −676570. + 627766.i −1.22227 + 1.13410i
\(745\) −10206.7 136199.i −0.0183897 0.245393i
\(746\) 43510.1 110862.i 0.0781830 0.199207i
\(747\) 73695.5 322881.i 0.132069 0.578630i
\(748\) −26562.9 + 8193.56i −0.0474758 + 0.0146443i
\(749\) −380811. + 558548.i −0.678807 + 0.995627i
\(750\) −59885.9 397317.i −0.106464 0.706341i
\(751\) 596974. 234295.i 1.05846 0.415416i 0.228680 0.973502i \(-0.426559\pi\)
0.829783 + 0.558085i \(0.188464\pi\)
\(752\) −304732. + 146751.i −0.538868 + 0.259505i
\(753\) −158705. 329554.i −0.279899 0.581216i
\(754\) −63162.6 160936.i −0.111101 0.283080i
\(755\) −305234. + 46006.6i −0.535475 + 0.0807098i
\(756\) −36031.6 24566.0i −0.0630435