Properties

Label 43.5.h.a.29.8
Level $43$
Weight $5$
Character 43.29
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 29.8
Character \(\chi\) \(=\) 43.29
Dual form 43.5.h.a.3.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.317475 - 0.659244i) q^{2} +(14.0677 - 1.05423i) q^{3} +(9.64202 - 12.0907i) q^{4} +(13.2386 + 42.9184i) q^{5} +(-5.16114 - 8.93936i) q^{6} +(-57.8093 - 33.3762i) q^{7} +(-22.4456 - 5.12306i) q^{8} +(116.694 - 17.5888i) q^{9} +O(q^{10})\) \(q+(-0.317475 - 0.659244i) q^{2} +(14.0677 - 1.05423i) q^{3} +(9.64202 - 12.0907i) q^{4} +(13.2386 + 42.9184i) q^{5} +(-5.16114 - 8.93936i) q^{6} +(-57.8093 - 33.3762i) q^{7} +(-22.4456 - 5.12306i) q^{8} +(116.694 - 17.5888i) q^{9} +(24.0908 - 22.3530i) q^{10} +(37.7924 + 47.3902i) q^{11} +(122.895 - 180.254i) q^{12} +(14.0167 + 13.0056i) q^{13} +(-3.65005 + 48.7065i) q^{14} +(231.482 + 589.807i) q^{15} +(-51.3106 - 224.806i) q^{16} +(-299.351 - 92.3374i) q^{17} +(-48.6427 - 71.3457i) q^{18} +(88.7442 - 588.780i) q^{19} +(646.561 + 253.757i) q^{20} +(-848.431 - 408.583i) q^{21} +(19.2435 - 39.9596i) q^{22} +(-258.307 + 658.155i) q^{23} +(-321.159 - 48.4069i) q^{24} +(-1150.33 + 784.283i) q^{25} +(4.12390 - 13.3694i) q^{26} +(509.041 - 116.185i) q^{27} +(-960.941 + 377.141i) q^{28} +(177.562 + 13.3065i) q^{29} +(315.337 - 339.853i) q^{30} +(617.761 + 421.182i) q^{31} +(-419.912 + 334.869i) q^{32} +(581.613 + 626.830i) q^{33} +(34.1635 + 226.660i) q^{34} +(667.141 - 2922.94i) q^{35} +(912.504 - 1580.50i) q^{36} +(-149.252 + 86.1707i) q^{37} +(-416.323 + 128.419i) q^{38} +(210.893 + 168.182i) q^{39} +(-77.2741 - 1031.15i) q^{40} +(-583.852 + 281.168i) q^{41} +689.038i q^{42} +(-832.112 + 1651.18i) q^{43} +937.377 q^{44} +(2299.74 + 4775.46i) q^{45} +(515.891 - 38.6607i) q^{46} +(1919.00 - 2406.35i) q^{47} +(-958.820 - 3108.42i) q^{48} +(1027.44 + 1779.58i) q^{49} +(882.236 + 509.359i) q^{50} +(-4308.52 - 983.392i) q^{51} +(292.396 - 44.0716i) q^{52} +(-523.359 + 485.606i) q^{53} +(-238.203 - 298.697i) q^{54} +(-1533.59 + 2249.37i) q^{55} +(1126.58 + 1045.31i) q^{56} +(627.720 - 8376.34i) q^{57} +(-47.5994 - 121.281i) q^{58} +(-424.152 - 1858.33i) q^{59} +(9363.15 + 2888.15i) q^{60} +(2180.83 + 3198.70i) q^{61} +(81.5381 - 540.970i) q^{62} +(-7333.03 - 2878.00i) q^{63} +(-2969.97 - 1430.26i) q^{64} +(-372.618 + 773.749i) q^{65} +(228.586 - 582.428i) q^{66} +(4741.10 + 714.606i) q^{67} +(-4002.77 + 2729.04i) q^{68} +(-2939.94 + 9531.05i) q^{69} +(-2138.73 + 488.151i) q^{70} +(6572.02 - 2579.33i) q^{71} +(-2709.37 - 203.039i) q^{72} +(2721.87 - 2933.48i) q^{73} +(104.191 + 71.0364i) q^{74} +(-15355.7 + 12245.8i) q^{75} +(-6263.09 - 6750.01i) q^{76} +(-603.048 - 4000.96i) q^{77} +(43.9195 - 192.424i) q^{78} +(180.404 - 312.469i) q^{79} +(8969.06 - 5178.29i) q^{80} +(-2095.72 + 646.445i) q^{81} +(370.717 + 295.637i) q^{82} +(165.884 + 2213.57i) q^{83} +(-13120.6 + 6318.57i) q^{84} -14070.1i q^{85} +(1352.70 + 24.3565i) q^{86} +2511.92 q^{87} +(-605.491 - 1257.31i) q^{88} +(-2333.20 + 174.849i) q^{89} +(2418.08 - 3032.18i) q^{90} +(-376.217 - 1219.67i) q^{91} +(5466.97 + 9469.07i) q^{92} +(9134.50 + 5273.81i) q^{93} +(-2195.61 - 501.133i) q^{94} +(26444.3 - 3985.84i) q^{95} +(-5554.17 + 5153.52i) q^{96} +(-2431.76 - 3049.32i) q^{97} +(846.992 - 1242.31i) q^{98} +(5243.67 + 4865.42i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.317475 0.659244i −0.0793688 0.164811i 0.857508 0.514471i \(-0.172012\pi\)
−0.936877 + 0.349660i \(0.886297\pi\)
\(3\) 14.0677 1.05423i 1.56308 0.117137i 0.735125 0.677932i \(-0.237124\pi\)
0.827954 + 0.560795i \(0.189505\pi\)
\(4\) 9.64202 12.0907i 0.602627 0.755670i
\(5\) 13.2386 + 42.9184i 0.529543 + 1.71674i 0.684680 + 0.728844i \(0.259942\pi\)
−0.155137 + 0.987893i \(0.549582\pi\)
\(6\) −5.16114 8.93936i −0.143365 0.248316i
\(7\) −57.8093 33.3762i −1.17978 0.681147i −0.223817 0.974631i \(-0.571852\pi\)
−0.955964 + 0.293484i \(0.905185\pi\)
\(8\) −22.4456 5.12306i −0.350713 0.0800478i
\(9\) 116.694 17.5888i 1.44066 0.217145i
\(10\) 24.0908 22.3530i 0.240908 0.223530i
\(11\) 37.7924 + 47.3902i 0.312334 + 0.391654i 0.913077 0.407788i \(-0.133700\pi\)
−0.600743 + 0.799442i \(0.705128\pi\)
\(12\) 122.895 180.254i 0.853436 1.25176i
\(13\) 14.0167 + 13.0056i 0.0829389 + 0.0769561i 0.720553 0.693400i \(-0.243888\pi\)
−0.637614 + 0.770356i \(0.720079\pi\)
\(14\) −3.65005 + 48.7065i −0.0186227 + 0.248503i
\(15\) 231.482 + 589.807i 1.02881 + 2.62137i
\(16\) −51.3106 224.806i −0.200432 0.878150i
\(17\) −299.351 92.3374i −1.03582 0.319507i −0.270199 0.962804i \(-0.587090\pi\)
−0.765616 + 0.643298i \(0.777566\pi\)
\(18\) −48.6427 71.3457i −0.150132 0.220203i
\(19\) 88.7442 588.780i 0.245829 1.63097i −0.436346 0.899779i \(-0.643728\pi\)
0.682175 0.731189i \(-0.261034\pi\)
\(20\) 646.561 + 253.757i 1.61640 + 0.634391i
\(21\) −848.431 408.583i −1.92388 0.926491i
\(22\) 19.2435 39.9596i 0.0397594 0.0825612i
\(23\) −258.307 + 658.155i −0.488293 + 1.24415i 0.448348 + 0.893859i \(0.352013\pi\)
−0.936641 + 0.350291i \(0.886083\pi\)
\(24\) −321.159 48.4069i −0.557568 0.0840398i
\(25\) −1150.33 + 784.283i −1.84053 + 1.25485i
\(26\) 4.12390 13.3694i 0.00610045 0.0197772i
\(27\) 509.041 116.185i 0.698274 0.159376i
\(28\) −960.941 + 377.141i −1.22569 + 0.481048i
\(29\) 177.562 + 13.3065i 0.211132 + 0.0158222i 0.179876 0.983689i \(-0.442430\pi\)
0.0312560 + 0.999511i \(0.490049\pi\)
\(30\) 315.337 339.853i 0.350375 0.377614i
\(31\) 617.761 + 421.182i 0.642831 + 0.438275i 0.840365 0.542021i \(-0.182341\pi\)
−0.197534 + 0.980296i \(0.563293\pi\)
\(32\) −419.912 + 334.869i −0.410070 + 0.327020i
\(33\) 581.613 + 626.830i 0.534080 + 0.575601i
\(34\) 34.1635 + 226.660i 0.0295532 + 0.196073i
\(35\) 667.141 2922.94i 0.544605 2.38607i
\(36\) 912.504 1580.50i 0.704092 1.21952i
\(37\) −149.252 + 86.1707i −0.109023 + 0.0629442i −0.553520 0.832836i \(-0.686716\pi\)
0.444497 + 0.895780i \(0.353382\pi\)
\(38\) −416.323 + 128.419i −0.288313 + 0.0889327i
\(39\) 210.893 + 168.182i 0.138654 + 0.110573i
\(40\) −77.2741 1031.15i −0.0482963 0.644470i
\(41\) −583.852 + 281.168i −0.347324 + 0.167262i −0.599410 0.800442i \(-0.704598\pi\)
0.252085 + 0.967705i \(0.418884\pi\)
\(42\) 689.038i 0.390611i
\(43\) −832.112 + 1651.18i −0.450033 + 0.893012i
\(44\) 937.377 0.484182
\(45\) 2299.74 + 4775.46i 1.13567 + 2.35825i
\(46\) 515.891 38.6607i 0.243805 0.0182706i
\(47\) 1919.00 2406.35i 0.868720 1.08934i −0.126528 0.991963i \(-0.540383\pi\)
0.995248 0.0973770i \(-0.0310453\pi\)
\(48\) −958.820 3108.42i −0.416155 1.34914i
\(49\) 1027.44 + 1779.58i 0.427923 + 0.741184i
\(50\) 882.236 + 509.359i 0.352894 + 0.203744i
\(51\) −4308.52 983.392i −1.65649 0.378082i
\(52\) 292.396 44.0716i 0.108135 0.0162987i
\(53\) −523.359 + 485.606i −0.186315 + 0.172875i −0.767816 0.640671i \(-0.778656\pi\)
0.581500 + 0.813546i \(0.302466\pi\)
\(54\) −238.203 298.697i −0.0816881 0.102434i
\(55\) −1533.59 + 2249.37i −0.506973 + 0.743593i
\(56\) 1126.58 + 1045.31i 0.359240 + 0.333326i
\(57\) 627.720 8376.34i 0.193204 2.57813i
\(58\) −47.5994 121.281i −0.0141496 0.0360527i
\(59\) −424.152 1858.33i −0.121848 0.533849i −0.998599 0.0529064i \(-0.983152\pi\)
0.876752 0.480943i \(-0.159706\pi\)
\(60\) 9363.15 + 2888.15i 2.60088 + 0.802264i
\(61\) 2180.83 + 3198.70i 0.586088 + 0.859634i 0.998684 0.0512805i \(-0.0163303\pi\)
−0.412596 + 0.910914i \(0.635378\pi\)
\(62\) 81.5381 540.970i 0.0212118 0.140731i
\(63\) −7333.03 2878.00i −1.84758 0.725120i
\(64\) −2969.97 1430.26i −0.725090 0.349185i
\(65\) −372.618 + 773.749i −0.0881936 + 0.183136i
\(66\) 228.586 582.428i 0.0524761 0.133707i
\(67\) 4741.10 + 714.606i 1.05616 + 0.159190i 0.654088 0.756418i \(-0.273052\pi\)
0.402071 + 0.915609i \(0.368291\pi\)
\(68\) −4002.77 + 2729.04i −0.865651 + 0.590191i
\(69\) −2939.94 + 9531.05i −0.617505 + 2.00190i
\(70\) −2138.73 + 488.151i −0.436475 + 0.0996227i
\(71\) 6572.02 2579.33i 1.30371 0.511670i 0.391046 0.920371i \(-0.372113\pi\)
0.912668 + 0.408701i \(0.134018\pi\)
\(72\) −2709.37 203.039i −0.522641 0.0391665i
\(73\) 2721.87 2933.48i 0.510765 0.550474i −0.424036 0.905645i \(-0.639387\pi\)
0.934801 + 0.355171i \(0.115577\pi\)
\(74\) 104.191 + 71.0364i 0.0190269 + 0.0129723i
\(75\) −15355.7 + 12245.8i −2.72991 + 2.17703i
\(76\) −6263.09 6750.01i −1.08433 1.16863i
\(77\) −603.048 4000.96i −0.101712 0.674812i
\(78\) 43.9195 192.424i 0.00721885 0.0316279i
\(79\) 180.404 312.469i 0.0289063 0.0500672i −0.851210 0.524825i \(-0.824131\pi\)
0.880117 + 0.474757i \(0.157464\pi\)
\(80\) 8969.06 5178.29i 1.40142 0.809108i
\(81\) −2095.72 + 646.445i −0.319421 + 0.0985284i
\(82\) 370.717 + 295.637i 0.0551334 + 0.0439674i
\(83\) 165.884 + 2213.57i 0.0240796 + 0.321320i 0.996217 + 0.0869059i \(0.0276980\pi\)
−0.972137 + 0.234414i \(0.924683\pi\)
\(84\) −13120.6 + 6318.57i −1.85950 + 0.895489i
\(85\) 14070.1i 1.94741i
\(86\) 1352.70 + 24.3565i 0.182897 + 0.00329320i
\(87\) 2511.92 0.331870
\(88\) −605.491 1257.31i −0.0781883 0.162360i
\(89\) −2333.20 + 174.849i −0.294559 + 0.0220741i −0.221190 0.975231i \(-0.570994\pi\)
−0.0733690 + 0.997305i \(0.523375\pi\)
\(90\) 2418.08 3032.18i 0.298529 0.374343i
\(91\) −376.217 1219.67i −0.0454314 0.147285i
\(92\) 5466.97 + 9469.07i 0.645908 + 1.11875i
\(93\) 9134.50 + 5273.81i 1.05613 + 0.609759i
\(94\) −2195.61 501.133i −0.248484 0.0567150i
\(95\) 26444.3 3985.84i 2.93012 0.441645i
\(96\) −5554.17 + 5153.52i −0.602666 + 0.559193i
\(97\) −2431.76 3049.32i −0.258450 0.324086i 0.635630 0.771994i \(-0.280741\pi\)
−0.894080 + 0.447908i \(0.852169\pi\)
\(98\) 846.992 1242.31i 0.0881916 0.129353i
\(99\) 5243.67 + 4865.42i 0.535014 + 0.496421i
\(100\) −1608.98 + 21470.4i −0.160898 + 2.14704i
\(101\) −14.4682 36.8645i −0.00141832 0.00361381i 0.930163 0.367147i \(-0.119665\pi\)
−0.931581 + 0.363533i \(0.881570\pi\)
\(102\) 719.553 + 3152.57i 0.0691612 + 0.303015i
\(103\) 8105.76 + 2500.29i 0.764045 + 0.235677i 0.652198 0.758049i \(-0.273847\pi\)
0.111847 + 0.993725i \(0.464323\pi\)
\(104\) −247.984 363.726i −0.0229276 0.0336285i
\(105\) 6303.71 41822.4i 0.571765 3.79341i
\(106\) 486.287 + 190.853i 0.0432793 + 0.0169859i
\(107\) −4753.35 2289.09i −0.415176 0.199938i 0.214622 0.976697i \(-0.431148\pi\)
−0.629798 + 0.776759i \(0.716862\pi\)
\(108\) 3503.43 7274.94i 0.300362 0.623709i
\(109\) 547.181 1394.20i 0.0460552 0.117347i −0.905995 0.423288i \(-0.860876\pi\)
0.952050 + 0.305941i \(0.0989711\pi\)
\(110\) 1969.76 + 296.894i 0.162790 + 0.0245367i
\(111\) −2008.79 + 1369.57i −0.163038 + 0.111157i
\(112\) −4536.96 + 14708.5i −0.361683 + 1.17255i
\(113\) 7485.43 1708.50i 0.586219 0.133801i 0.0808835 0.996724i \(-0.474226\pi\)
0.505336 + 0.862923i \(0.331369\pi\)
\(114\) −5721.34 + 2245.46i −0.440238 + 0.172781i
\(115\) −31666.6 2373.08i −2.39445 0.179439i
\(116\) 1872.94 2018.55i 0.139190 0.150011i
\(117\) 1864.41 + 1271.13i 0.136198 + 0.0928581i
\(118\) −1090.44 + 869.593i −0.0783134 + 0.0624528i
\(119\) 14223.4 + 15329.1i 1.00440 + 1.08249i
\(120\) −2174.14 14424.5i −0.150982 1.00170i
\(121\) 2440.37 10691.9i 0.166680 0.730274i
\(122\) 1416.36 2453.21i 0.0951600 0.164822i
\(123\) −7917.04 + 4570.91i −0.523303 + 0.302129i
\(124\) 11048.9 3408.12i 0.718578 0.221652i
\(125\) −26942.0 21485.6i −1.72429 1.37508i
\(126\) 430.749 + 5747.95i 0.0271321 + 0.362053i
\(127\) 14060.9 6771.37i 0.871778 0.419826i 0.0561632 0.998422i \(-0.482113\pi\)
0.815615 + 0.578596i \(0.196399\pi\)
\(128\) 11005.4i 0.671717i
\(129\) −9965.19 + 24105.5i −0.598834 + 1.44856i
\(130\) 628.387 0.0371826
\(131\) 9806.88 + 20364.2i 0.571463 + 1.18666i 0.963749 + 0.266812i \(0.0859703\pi\)
−0.392285 + 0.919844i \(0.628315\pi\)
\(132\) 13186.7 988.210i 0.756815 0.0567154i
\(133\) −24781.5 + 31075.0i −1.40095 + 1.75674i
\(134\) −1034.08 3352.41i −0.0575898 0.186701i
\(135\) 11725.5 + 20309.1i 0.643373 + 1.11436i
\(136\) 6246.05 + 3606.16i 0.337697 + 0.194970i
\(137\) −16173.6 3691.52i −0.861720 0.196682i −0.231249 0.972895i \(-0.574281\pi\)
−0.630471 + 0.776213i \(0.717138\pi\)
\(138\) 7216.65 1087.73i 0.378946 0.0571169i
\(139\) 15697.0 14564.7i 0.812432 0.753827i −0.159974 0.987121i \(-0.551141\pi\)
0.972406 + 0.233294i \(0.0749505\pi\)
\(140\) −28907.8 36249.2i −1.47489 1.84945i
\(141\) 24459.1 35874.9i 1.23028 1.80448i
\(142\) −3786.86 3513.69i −0.187803 0.174256i
\(143\) −86.6126 + 1155.77i −0.00423554 + 0.0565194i
\(144\) −9941.70 25331.0i −0.479441 1.22160i
\(145\) 1779.58 + 7796.85i 0.0846412 + 0.370837i
\(146\) −2798.00 863.070i −0.131263 0.0404893i
\(147\) 16329.9 + 23951.5i 0.755697 + 1.10840i
\(148\) −397.226 + 2635.42i −0.0181349 + 0.120317i
\(149\) −15628.3 6133.67i −0.703948 0.276279i −0.0137557 0.999905i \(-0.504379\pi\)
−0.690192 + 0.723626i \(0.742474\pi\)
\(150\) 12948.0 + 6235.44i 0.575467 + 0.277130i
\(151\) −4505.47 + 9355.70i −0.197600 + 0.410320i −0.976099 0.217325i \(-0.930267\pi\)
0.778500 + 0.627645i \(0.215981\pi\)
\(152\) −5008.27 + 12760.9i −0.216771 + 0.552323i
\(153\) −36556.5 5510.00i −1.56164 0.235379i
\(154\) −2446.16 + 1667.76i −0.103144 + 0.0703222i
\(155\) −9898.20 + 32089.2i −0.411996 + 1.33566i
\(156\) 4066.88 928.239i 0.167114 0.0381426i
\(157\) −39261.6 + 15409.1i −1.59283 + 0.625139i −0.985555 0.169354i \(-0.945832\pi\)
−0.607273 + 0.794493i \(0.707737\pi\)
\(158\) −263.267 19.7292i −0.0105459 0.000790304i
\(159\) −6850.53 + 7383.11i −0.270975 + 0.292042i
\(160\) −19931.1 13588.8i −0.778558 0.530812i
\(161\) 36899.3 29426.2i 1.42353 1.13523i
\(162\) 1091.50 + 1176.36i 0.0415906 + 0.0448240i
\(163\) −1587.02 10529.2i −0.0597320 0.396296i −0.998640 0.0521288i \(-0.983399\pi\)
0.938908 0.344167i \(-0.111839\pi\)
\(164\) −2229.99 + 9770.22i −0.0829115 + 0.363259i
\(165\) −19202.8 + 33260.2i −0.705337 + 1.22168i
\(166\) 1406.62 812.112i 0.0510458 0.0294713i
\(167\) −36708.7 + 11323.1i −1.31624 + 0.406007i −0.871828 0.489813i \(-0.837065\pi\)
−0.444416 + 0.895820i \(0.646589\pi\)
\(168\) 16950.3 + 13517.4i 0.600565 + 0.478934i
\(169\) −2107.04 28116.5i −0.0737735 0.984438i
\(170\) −9275.61 + 4466.90i −0.320955 + 0.154564i
\(171\) 70267.8i 2.40306i
\(172\) 11940.7 + 25981.5i 0.403620 + 0.878229i
\(173\) 32564.0 1.08804 0.544020 0.839072i \(-0.316901\pi\)
0.544020 + 0.839072i \(0.316901\pi\)
\(174\) −797.473 1655.97i −0.0263401 0.0546958i
\(175\) 92676.3 6945.13i 3.02616 0.226780i
\(176\) 8714.47 10927.6i 0.281330 0.352776i
\(177\) −7925.95 25695.3i −0.252991 0.820176i
\(178\) 856.002 + 1482.64i 0.0270169 + 0.0467946i
\(179\) 9248.66 + 5339.71i 0.288651 + 0.166653i 0.637333 0.770588i \(-0.280038\pi\)
−0.348682 + 0.937241i \(0.613371\pi\)
\(180\) 79912.9 + 18239.6i 2.46645 + 0.562951i
\(181\) 25307.7 3814.52i 0.772495 0.116435i 0.249046 0.968492i \(-0.419883\pi\)
0.523449 + 0.852057i \(0.324645\pi\)
\(182\) −684.618 + 635.233i −0.0206684 + 0.0191774i
\(183\) 34051.5 + 42699.2i 1.01680 + 1.27502i
\(184\) 9169.62 13449.4i 0.270842 0.397252i
\(185\) −5674.19 5264.88i −0.165791 0.153831i
\(186\) 576.748 7696.17i 0.0166709 0.222458i
\(187\) −6937.29 17675.9i −0.198384 0.505474i
\(188\) −10591.5 46404.2i −0.299668 1.31293i
\(189\) −33305.2 10273.3i −0.932369 0.287598i
\(190\) −11023.1 16167.9i −0.305348 0.447863i
\(191\) −9237.86 + 61289.2i −0.253224 + 1.68003i 0.395079 + 0.918647i \(0.370717\pi\)
−0.648303 + 0.761383i \(0.724521\pi\)
\(192\) −43288.5 16989.5i −1.17427 0.460869i
\(193\) 34868.4 + 16791.7i 0.936088 + 0.450796i 0.838788 0.544459i \(-0.183265\pi\)
0.0973008 + 0.995255i \(0.468979\pi\)
\(194\) −1238.23 + 2571.20i −0.0329001 + 0.0683177i
\(195\) −4426.17 + 11277.7i −0.116402 + 0.296587i
\(196\) 31423.1 + 4736.26i 0.817968 + 0.123289i
\(197\) −20911.9 + 14257.5i −0.538842 + 0.367376i −0.801951 0.597390i \(-0.796205\pi\)
0.263109 + 0.964766i \(0.415252\pi\)
\(198\) 1542.76 5001.51i 0.0393521 0.127577i
\(199\) −57217.1 + 13059.4i −1.44484 + 0.329775i −0.871844 0.489784i \(-0.837076\pi\)
−0.572995 + 0.819559i \(0.694219\pi\)
\(200\) 29837.8 11710.5i 0.745945 0.292762i
\(201\) 67449.8 + 5054.66i 1.66951 + 0.125112i
\(202\) −19.7094 + 21.2416i −0.000483025 + 0.000520577i
\(203\) −9820.63 6695.59i −0.238313 0.162479i
\(204\) −53432.8 + 42611.2i −1.28395 + 1.02391i
\(205\) −19796.7 21335.7i −0.471069 0.507691i
\(206\) −925.072 6137.45i −0.0217992 0.144628i
\(207\) −18566.7 + 81345.9i −0.433305 + 1.89843i
\(208\) 2204.53 3818.36i 0.0509554 0.0882573i
\(209\) 31256.2 18045.8i 0.715557 0.413127i
\(210\) −29572.4 + 9121.88i −0.670576 + 0.206845i
\(211\) −61701.4 49205.2i −1.38589 1.10521i −0.981677 0.190551i \(-0.938973\pi\)
−0.404217 0.914663i \(-0.632456\pi\)
\(212\) 825.087 + 11010.0i 0.0183581 + 0.244972i
\(213\) 89734.1 43213.7i 1.97787 0.952493i
\(214\) 3860.35i 0.0842945i
\(215\) −81882.0 13853.7i −1.77138 0.299701i
\(216\) −12021.0 −0.257651
\(217\) −21654.8 44966.7i −0.459871 0.954931i
\(218\) −1092.83 + 81.8964i −0.0229954 + 0.00172326i
\(219\) 35197.9 44136.8i 0.733886 0.920264i
\(220\) 12409.5 + 40230.7i 0.256395 + 0.831213i
\(221\) −2995.00 5187.49i −0.0613214 0.106212i
\(222\) 1540.62 + 889.478i 0.0312601 + 0.0180480i
\(223\) 43965.6 + 10034.9i 0.884104 + 0.201791i 0.640384 0.768055i \(-0.278775\pi\)
0.243720 + 0.969846i \(0.421632\pi\)
\(224\) 35451.5 5343.45i 0.706542 0.106494i
\(225\) −120442. + 111754.i −2.37910 + 2.20748i
\(226\) −3502.76 4392.32i −0.0685793 0.0859958i
\(227\) −39282.9 + 57617.5i −0.762346 + 1.11816i 0.227187 + 0.973851i \(0.427047\pi\)
−0.989533 + 0.144305i \(0.953905\pi\)
\(228\) −95223.4 88354.4i −1.83178 1.69965i
\(229\) −2362.79 + 31529.3i −0.0450563 + 0.601234i 0.928285 + 0.371871i \(0.121283\pi\)
−0.973341 + 0.229363i \(0.926336\pi\)
\(230\) 8488.92 + 21629.4i 0.160471 + 0.408874i
\(231\) −12701.4 55648.6i −0.238028 1.04287i
\(232\) −3917.32 1208.33i −0.0727802 0.0224497i
\(233\) 14892.6 + 21843.4i 0.274321 + 0.402354i 0.938533 0.345189i \(-0.112185\pi\)
−0.664212 + 0.747544i \(0.731233\pi\)
\(234\) 246.083 1632.66i 0.00449418 0.0298169i
\(235\) 128682. + 50503.8i 2.33013 + 0.914511i
\(236\) −26558.2 12789.8i −0.476843 0.229635i
\(237\) 2208.46 4585.91i 0.0393181 0.0816449i
\(238\) 5590.08 14243.3i 0.0986880 0.251453i
\(239\) 33635.1 + 5069.68i 0.588840 + 0.0887534i 0.436703 0.899606i \(-0.356146\pi\)
0.152138 + 0.988359i \(0.451384\pi\)
\(240\) 120715. 82302.1i 2.09575 1.42886i
\(241\) 9908.40 32122.2i 0.170596 0.553059i −0.829388 0.558673i \(-0.811311\pi\)
0.999984 + 0.00561369i \(0.00178690\pi\)
\(242\) −7823.35 + 1785.63i −0.133586 + 0.0304902i
\(243\) −68169.7 + 26754.6i −1.15446 + 0.453092i
\(244\) 59702.2 + 4474.06i 1.00279 + 0.0751488i
\(245\) −62775.0 + 67655.4i −1.04581 + 1.12712i
\(246\) 5526.81 + 3768.11i 0.0913280 + 0.0622664i
\(247\) 8901.32 7098.57i 0.145902 0.116353i
\(248\) −11708.3 12618.5i −0.190366 0.205166i
\(249\) 4667.22 + 30965.0i 0.0752765 + 0.499427i
\(250\) −5610.80 + 24582.5i −0.0897728 + 0.393320i
\(251\) 21998.1 38101.8i 0.349171 0.604781i −0.636932 0.770920i \(-0.719797\pi\)
0.986102 + 0.166139i \(0.0531301\pi\)
\(252\) −105502. + 60911.8i −1.66135 + 0.959181i
\(253\) −40952.1 + 12632.1i −0.639787 + 0.197348i
\(254\) −8927.98 7119.82i −0.138384 0.110357i
\(255\) −14833.1 197934.i −0.228113 3.04396i
\(256\) −40264.2 + 19390.2i −0.614383 + 0.295871i
\(257\) 115855.i 1.75407i 0.480423 + 0.877037i \(0.340483\pi\)
−0.480423 + 0.877037i \(0.659517\pi\)
\(258\) 19055.1 1083.42i 0.286268 0.0162764i
\(259\) 11504.2 0.171497
\(260\) 5762.39 + 11965.7i 0.0852425 + 0.177008i
\(261\) 20954.5 1570.32i 0.307606 0.0230519i
\(262\) 10311.5 12930.3i 0.150218 0.188367i
\(263\) −19268.6 62467.2i −0.278572 0.903109i −0.981437 0.191785i \(-0.938572\pi\)
0.702865 0.711324i \(-0.251904\pi\)
\(264\) −9843.36 17049.2i −0.141233 0.244622i
\(265\) −27770.0 16033.0i −0.395443 0.228309i
\(266\) 28353.5 + 6471.50i 0.400722 + 0.0914622i
\(267\) −32638.5 + 4919.46i −0.457833 + 0.0690073i
\(268\) 54353.9 50433.0i 0.756765 0.702175i
\(269\) −26020.6 32628.7i −0.359594 0.450916i 0.568821 0.822461i \(-0.307400\pi\)
−0.928415 + 0.371545i \(0.878828\pi\)
\(270\) 9666.12 14177.6i 0.132594 0.194480i
\(271\) 21307.6 + 19770.6i 0.290132 + 0.269203i 0.811787 0.583953i \(-0.198495\pi\)
−0.521655 + 0.853156i \(0.674685\pi\)
\(272\) −5398.19 + 72033.8i −0.0729643 + 0.973641i
\(273\) −6578.33 16761.3i −0.0882653 0.224896i
\(274\) 2701.11 + 11834.3i 0.0359783 + 0.157631i
\(275\) −80641.1 24874.5i −1.06633 0.328919i
\(276\) 86890.3 + 127445.i 1.14065 + 1.67303i
\(277\) −7175.94 + 47609.3i −0.0935232 + 0.620486i 0.892140 + 0.451760i \(0.149203\pi\)
−0.985663 + 0.168726i \(0.946035\pi\)
\(278\) −14585.1 5724.23i −0.188721 0.0740674i
\(279\) 79496.9 + 38283.7i 1.02127 + 0.491819i
\(280\) −29948.8 + 62189.3i −0.382000 + 0.793231i
\(281\) 39177.8 99823.5i 0.496167 1.26421i −0.435267 0.900301i \(-0.643346\pi\)
0.931434 0.363911i \(-0.118559\pi\)
\(282\) −31415.5 4735.12i −0.395044 0.0595433i
\(283\) −127156. + 86693.7i −1.58769 + 1.08247i −0.637653 + 0.770324i \(0.720095\pi\)
−0.950035 + 0.312144i \(0.898953\pi\)
\(284\) 32181.7 104330.i 0.398999 1.29352i
\(285\) 367809. 83950.1i 4.52828 1.03355i
\(286\) 789.429 309.828i 0.00965119 0.00378781i
\(287\) 43136.4 + 3232.63i 0.523697 + 0.0392457i
\(288\) −43111.2 + 46462.8i −0.519763 + 0.560171i
\(289\) 12076.3 + 8233.46i 0.144590 + 0.0985796i
\(290\) 4575.06 3648.48i 0.0544002 0.0433827i
\(291\) −37423.9 40333.4i −0.441940 0.476298i
\(292\) −9223.51 61194.0i −0.108176 0.717700i
\(293\) 16047.3 70307.9i 0.186925 0.818972i −0.791301 0.611427i \(-0.790596\pi\)
0.978226 0.207544i \(-0.0665472\pi\)
\(294\) 10605.6 18369.4i 0.122698 0.212520i
\(295\) 74141.4 42805.6i 0.851955 0.491877i
\(296\) 3791.51 1169.53i 0.0432741 0.0133483i
\(297\) 24744.0 + 19732.6i 0.280515 + 0.223703i
\(298\) 918.024 + 12250.2i 0.0103376 + 0.137946i
\(299\) −12180.3 + 5865.72i −0.136243 + 0.0656114i
\(300\) 303736.i 3.37484i
\(301\) 103214. 67680.7i 1.13921 0.747020i
\(302\) 7598.06 0.0833084
\(303\) −242.398 503.346i −0.00264025 0.00548253i
\(304\) −136915. + 10260.4i −1.48151 + 0.111024i
\(305\) −108412. + 135944.i −1.16541 + 1.46137i
\(306\) 7973.33 + 25848.9i 0.0851524 + 0.276057i
\(307\) −27153.4 47031.0i −0.288103 0.499008i 0.685254 0.728304i \(-0.259691\pi\)
−0.973357 + 0.229296i \(0.926358\pi\)
\(308\) −54189.1 31286.1i −0.571229 0.329799i
\(309\) 116665. + 26628.1i 1.22187 + 0.278884i
\(310\) 24297.0 3662.19i 0.252831 0.0381081i
\(311\) 44674.9 41452.3i 0.461895 0.428576i −0.414588 0.910009i \(-0.636074\pi\)
0.876483 + 0.481434i \(0.159884\pi\)
\(312\) −3872.02 4855.36i −0.0397767 0.0498784i
\(313\) 2172.75 3186.84i 0.0221779 0.0325290i −0.814990 0.579475i \(-0.803257\pi\)
0.837168 + 0.546946i \(0.184210\pi\)
\(314\) 22622.9 + 20991.0i 0.229451 + 0.212899i
\(315\) 26440.4 352823.i 0.266469 3.55579i
\(316\) −2038.51 5194.05i −0.0204145 0.0520154i
\(317\) −17296.2 75779.7i −0.172121 0.754110i −0.985123 0.171850i \(-0.945026\pi\)
0.813003 0.582260i \(-0.197831\pi\)
\(318\) 7042.14 + 2172.21i 0.0696387 + 0.0214807i
\(319\) 6079.91 + 8917.59i 0.0597470 + 0.0876327i
\(320\) 22066.4 146401.i 0.215492 1.42970i
\(321\) −69282.0 27191.2i −0.672373 0.263887i
\(322\) −31113.6 14983.5i −0.300081 0.144512i
\(323\) −80932.0 + 168057.i −0.775738 + 1.61084i
\(324\) −12391.0 + 31571.8i −0.118037 + 0.300753i
\(325\) −26323.9 3967.69i −0.249220 0.0375639i
\(326\) −6437.47 + 4388.99i −0.0605731 + 0.0412980i
\(327\) 6227.79 20190.0i 0.0582423 0.188817i
\(328\) 14545.3 3319.88i 0.135200 0.0308585i
\(329\) −191251. + 75060.5i −1.76690 + 0.693457i
\(330\) 28023.0 + 2100.04i 0.257328 + 0.0192841i
\(331\) 26153.5 28186.7i 0.238711 0.257270i −0.602322 0.798254i \(-0.705757\pi\)
0.841033 + 0.540984i \(0.181948\pi\)
\(332\) 28363.1 + 19337.6i 0.257322 + 0.175439i
\(333\) −15901.1 + 12680.7i −0.143397 + 0.114355i
\(334\) 19118.8 + 20605.2i 0.171383 + 0.184707i
\(335\) 32095.7 + 212941.i 0.285994 + 1.89745i
\(336\) −48318.5 + 211697.i −0.427991 + 1.87515i
\(337\) 23603.8 40883.0i 0.207837 0.359984i −0.743196 0.669074i \(-0.766691\pi\)
0.951033 + 0.309090i \(0.100024\pi\)
\(338\) −17866.7 + 10315.4i −0.156391 + 0.0902924i
\(339\) 103502. 31926.1i 0.900634 0.277809i
\(340\) −170117. 135664.i −1.47160 1.17356i
\(341\) 3386.77 + 45193.3i 0.0291257 + 0.388656i
\(342\) −46323.6 + 22308.3i −0.396050 + 0.190728i
\(343\) 23104.0i 0.196381i
\(344\) 27136.3 32798.7i 0.229316 0.277166i
\(345\) −447978. −3.76373
\(346\) −10338.3 21467.6i −0.0863565 0.179321i
\(347\) −1334.18 + 99.9829i −0.0110804 + 0.000830361i −0.0802691 0.996773i \(-0.525578\pi\)
0.0691887 + 0.997604i \(0.477959\pi\)
\(348\) 24220.0 30370.9i 0.199994 0.250784i
\(349\) 4971.37 + 16116.8i 0.0408155 + 0.132321i 0.973687 0.227888i \(-0.0731819\pi\)
−0.932872 + 0.360208i \(0.882706\pi\)
\(350\) −34000.9 58891.4i −0.277559 0.480746i
\(351\) 8646.13 + 4991.85i 0.0701791 + 0.0405179i
\(352\) −31739.0 7244.21i −0.256158 0.0584664i
\(353\) −57626.5 + 8685.79i −0.462458 + 0.0697044i −0.376139 0.926563i \(-0.622749\pi\)
−0.0863191 + 0.996268i \(0.527510\pi\)
\(354\) −14423.2 + 13382.8i −0.115094 + 0.106792i
\(355\) 197705. + 247914.i 1.56878 + 1.96718i
\(356\) −20382.7 + 29896.0i −0.160828 + 0.235892i
\(357\) 216251. + 200651.i 1.69676 + 1.57437i
\(358\) 583.956 7792.35i 0.00455632 0.0607998i
\(359\) 15492.8 + 39475.1i 0.120210 + 0.306291i 0.978295 0.207218i \(-0.0664408\pi\)
−0.858085 + 0.513508i \(0.828346\pi\)
\(360\) −27154.1 118970.i −0.209522 0.917977i
\(361\) −214255. 66088.8i −1.64405 0.507123i
\(362\) −10549.3 15472.9i −0.0805017 0.118074i
\(363\) 23058.6 152984.i 0.174993 1.16100i
\(364\) −18374.1 7211.32i −0.138677 0.0544267i
\(365\) 161934. + 77983.3i 1.21549 + 0.585350i
\(366\) 17338.7 36004.2i 0.129436 0.268776i
\(367\) 57616.6 146805.i 0.427775 1.08995i −0.540782 0.841163i \(-0.681871\pi\)
0.968557 0.248791i \(-0.0800333\pi\)
\(368\) 161211. + 24298.7i 1.19042 + 0.179427i
\(369\) −63186.5 + 43079.8i −0.464057 + 0.316389i
\(370\) −1669.43 + 5412.15i −0.0121945 + 0.0395336i
\(371\) 46462.7 10604.8i 0.337565 0.0770469i
\(372\) 151839. 59592.5i 1.09723 0.430631i
\(373\) −148129. 11100.7i −1.06469 0.0797873i −0.469153 0.883117i \(-0.655441\pi\)
−0.595534 + 0.803330i \(0.703060\pi\)
\(374\) −9450.33 + 10185.0i −0.0675622 + 0.0728148i
\(375\) −401664. 273850.i −2.85627 1.94738i
\(376\) −55401.0 + 44180.9i −0.391870 + 0.312506i
\(377\) 2315.78 + 2495.81i 0.0162935 + 0.0175602i
\(378\) 3800.96 + 25217.7i 0.0266017 + 0.176491i
\(379\) −17117.2 + 74995.3i −0.119166 + 0.522102i 0.879745 + 0.475447i \(0.157714\pi\)
−0.998911 + 0.0466558i \(0.985144\pi\)
\(380\) 206785. 358163.i 1.43203 2.48035i
\(381\) 190666. 110081.i 1.31348 0.758338i
\(382\) 43337.3 13367.8i 0.296985 0.0916079i
\(383\) 202693. + 161642.i 1.38179 + 1.10194i 0.982737 + 0.185011i \(0.0592319\pi\)
0.399051 + 0.916929i \(0.369340\pi\)
\(384\) 11602.2 + 154821.i 0.0786826 + 1.04995i
\(385\) 163731. 78848.9i 1.10461 0.531954i
\(386\) 28317.7i 0.190057i
\(387\) −68060.1 + 207318.i −0.454434 + 1.38425i
\(388\) −60315.6 −0.400651
\(389\) −128129. 266063.i −0.846736 1.75827i −0.620522 0.784189i \(-0.713079\pi\)
−0.226214 0.974078i \(-0.572635\pi\)
\(390\) 8839.96 662.463i 0.0581194 0.00435545i
\(391\) 138097. 173168.i 0.903295 1.13270i
\(392\) −13944.7 45207.5i −0.0907477 0.294197i
\(393\) 159429. + 276139.i 1.03224 + 1.78790i
\(394\) 16038.2 + 9259.66i 0.103315 + 0.0596489i
\(395\) 15799.0 + 3606.01i 0.101259 + 0.0231118i
\(396\) 109386. 16487.3i 0.697544 0.105138i
\(397\) −93276.9 + 86548.3i −0.591825 + 0.549133i −0.918205 0.396105i \(-0.870361\pi\)
0.326380 + 0.945239i \(0.394171\pi\)
\(398\) 26774.3 + 33574.0i 0.169026 + 0.211952i
\(399\) −315858. + 463279.i −1.98402 + 2.91003i
\(400\) 235336. + 218360.i 1.47085 + 1.36475i
\(401\) 8623.65 115075.i 0.0536293 0.715633i −0.903982 0.427570i \(-0.859370\pi\)
0.957611 0.288063i \(-0.0930113\pi\)
\(402\) −18081.4 46070.6i −0.111887 0.285083i
\(403\) 3181.24 + 13937.9i 0.0195878 + 0.0858198i
\(404\) −585.221 180.517i −0.00358556 0.00110600i
\(405\) −55488.8 81387.1i −0.338295 0.496187i
\(406\) −1296.22 + 8599.88i −0.00786371 + 0.0521723i
\(407\) −9724.23 3816.48i −0.0587039 0.0230396i
\(408\) 91669.4 + 44145.6i 0.550686 + 0.265196i
\(409\) −111915. + 232393.i −0.669021 + 1.38924i 0.239293 + 0.970948i \(0.423085\pi\)
−0.908314 + 0.418289i \(0.862630\pi\)
\(410\) −7780.50 + 19824.4i −0.0462850 + 0.117932i
\(411\) −231418. 34880.6i −1.36997 0.206490i
\(412\) 108386. 73896.5i 0.638528 0.435341i
\(413\) −37504.1 + 121585.i −0.219876 + 0.712822i
\(414\) 59521.3 13585.3i 0.347273 0.0792629i
\(415\) −92806.9 + 36424.0i −0.538870 + 0.211491i
\(416\) −10240.9 767.452i −0.0591770 0.00443470i
\(417\) 205466. 221440.i 1.18160 1.27346i
\(418\) −21819.7 14876.4i −0.124881 0.0851422i
\(419\) −18096.4 + 14431.4i −0.103077 + 0.0822015i −0.673672 0.739030i \(-0.735284\pi\)
0.570595 + 0.821232i \(0.306713\pi\)
\(420\) −444882. 479468.i −2.52201 2.71808i
\(421\) 27286.3 + 181033.i 0.153950 + 1.02139i 0.923719 + 0.383071i \(0.125133\pi\)
−0.769769 + 0.638323i \(0.779628\pi\)
\(422\) −12849.6 + 56297.7i −0.0721546 + 0.316130i
\(423\) 181611. 314559.i 1.01499 1.75801i
\(424\) 14234.9 8218.53i 0.0791814 0.0457154i
\(425\) 416771. 128557.i 2.30738 0.711734i
\(426\) −56976.7 45437.4i −0.313963 0.250377i
\(427\) −19312.1 257702.i −0.105919 1.41339i
\(428\) −73508.7 + 35399.9i −0.401284 + 0.193248i
\(429\) 16350.3i 0.0888404i
\(430\) 16862.5 + 58378.4i 0.0911982 + 0.315730i
\(431\) 310363. 1.67076 0.835381 0.549671i \(-0.185247\pi\)
0.835381 + 0.549671i \(0.185247\pi\)
\(432\) −52238.5 108474.i −0.279913 0.581245i
\(433\) −237796. + 17820.4i −1.26832 + 0.0950476i −0.691833 0.722058i \(-0.743197\pi\)
−0.576489 + 0.817105i \(0.695577\pi\)
\(434\) −22769.2 + 28551.7i −0.120884 + 0.151583i
\(435\) 33254.3 + 107808.i 0.175739 + 0.569733i
\(436\) −11580.9 20058.7i −0.0609212 0.105519i
\(437\) 364585. + 210493.i 1.90913 + 1.10224i
\(438\) −40271.4 9191.68i −0.209917 0.0479123i
\(439\) −87556.1 + 13197.0i −0.454315 + 0.0684770i −0.372214 0.928147i \(-0.621401\pi\)
−0.0821013 + 0.996624i \(0.526163\pi\)
\(440\) 45946.1 42631.8i 0.237325 0.220205i
\(441\) 151197. + 189595.i 0.777437 + 0.974876i
\(442\) −2468.98 + 3621.34i −0.0126379 + 0.0185364i
\(443\) −58872.0 54625.2i −0.299986 0.278346i 0.515789 0.856716i \(-0.327499\pi\)
−0.815775 + 0.578369i \(0.803689\pi\)
\(444\) −2809.72 + 37493.1i −0.0142527 + 0.190189i
\(445\) −38392.5 97822.6i −0.193877 0.493991i
\(446\) −7342.57 32169.9i −0.0369129 0.161726i
\(447\) −226321. 69810.9i −1.13269 0.349388i
\(448\) 123955. + 181809.i 0.617601 + 0.905854i
\(449\) 42928.0 284809.i 0.212935 1.41273i −0.585509 0.810666i \(-0.699105\pi\)
0.798445 0.602068i \(-0.205656\pi\)
\(450\) 111910. + 43921.6i 0.552644 + 0.216897i
\(451\) −35389.8 17042.8i −0.173990 0.0837893i
\(452\) 51517.7 106978.i 0.252162 0.523620i
\(453\) −53518.6 + 136363.i −0.260800 + 0.664508i
\(454\) 50455.3 + 7604.92i 0.244791 + 0.0368963i
\(455\) 47365.6 32293.3i 0.228792 0.155988i
\(456\) −57002.0 + 184796.i −0.274133 + 0.888716i
\(457\) 233920. 53390.8i 1.12004 0.255643i 0.377876 0.925856i \(-0.376654\pi\)
0.742169 + 0.670213i \(0.233797\pi\)
\(458\) 21535.6 8452.11i 0.102666 0.0402934i
\(459\) −163110. 12223.4i −0.774204 0.0580186i
\(460\) −334022. + 359991.i −1.57856 + 1.70128i
\(461\) 18724.5 + 12766.1i 0.0881064 + 0.0600699i 0.606572 0.795029i \(-0.292544\pi\)
−0.518466 + 0.855098i \(0.673497\pi\)
\(462\) −32653.6 + 26040.4i −0.152984 + 0.122001i
\(463\) −82369.2 88772.9i −0.384240 0.414112i 0.511082 0.859532i \(-0.329245\pi\)
−0.895322 + 0.445420i \(0.853054\pi\)
\(464\) −6119.45 40599.9i −0.0284234 0.188577i
\(465\) −105416. + 461856.i −0.487528 + 2.13600i
\(466\) 9672.11 16752.6i 0.0445399 0.0771454i
\(467\) −53672.0 + 30987.5i −0.246101 + 0.142087i −0.617978 0.786196i \(-0.712048\pi\)
0.371876 + 0.928282i \(0.378714\pi\)
\(468\) 33345.6 10285.8i 0.152246 0.0469618i
\(469\) −250229. 199551.i −1.13760 0.907210i
\(470\) −7558.89 100866.i −0.0342186 0.456615i
\(471\) −536076. + 258161.i −2.41649 + 1.16372i
\(472\) 43884.3i 0.196981i
\(473\) −109697. + 22968.1i −0.490313 + 0.102660i
\(474\) −3724.37 −0.0165766
\(475\) 359684. + 746892.i 1.59417 + 3.31033i
\(476\) 322482. 24166.7i 1.42329 0.106661i
\(477\) −52531.6 + 65872.5i −0.230879 + 0.289513i
\(478\) −7336.16 23783.3i −0.0321080 0.104092i
\(479\) −45084.7 78089.0i −0.196498 0.340344i 0.750893 0.660424i \(-0.229624\pi\)
−0.947391 + 0.320080i \(0.896290\pi\)
\(480\) −294710. 170151.i −1.27912 0.738503i
\(481\) −3212.72 733.282i −0.0138862 0.00316943i
\(482\) −24322.1 + 3665.96i −0.104690 + 0.0157795i
\(483\) 488066. 452859.i 2.09211 1.94119i
\(484\) −105743. 132598.i −0.451400 0.566038i
\(485\) 98679.2 144736.i 0.419510 0.615308i
\(486\) 39280.0 + 36446.5i 0.166303 + 0.154306i
\(487\) 30971.9 413291.i 0.130590 1.74260i −0.419733 0.907648i \(-0.637876\pi\)
0.550323 0.834952i \(-0.314505\pi\)
\(488\) −32563.0 82969.2i −0.136737 0.348399i
\(489\) −33425.9 146448.i −0.139787 0.612445i
\(490\) 64530.9 + 19905.1i 0.268767 + 0.0829036i
\(491\) −28934.0 42438.4i −0.120018 0.176034i 0.761528 0.648132i \(-0.224449\pi\)
−0.881546 + 0.472098i \(0.843497\pi\)
\(492\) −21070.8 + 139796.i −0.0870463 + 0.577515i
\(493\) −51924.7 20378.9i −0.213639 0.0838470i
\(494\) −7505.63 3614.52i −0.0307563 0.0148114i
\(495\) −139397. + 289461.i −0.568910 + 1.18135i
\(496\) 62986.8 160488.i 0.256027 0.652347i
\(497\) −466012. 70240.0i −1.88662 0.284362i
\(498\) 18931.8 12907.5i 0.0763365 0.0520453i
\(499\) 126897. 411391.i 0.509626 1.65217i −0.225506 0.974242i \(-0.572403\pi\)
0.735131 0.677925i \(-0.237120\pi\)
\(500\) −519552. + 118584.i −2.07821 + 0.474337i
\(501\) −504470. + 197990.i −2.00983 + 0.788802i
\(502\) −32102.2 2405.73i −0.127388 0.00954640i
\(503\) −285026. + 307185.i −1.12654 + 1.21413i −0.152371 + 0.988323i \(0.548691\pi\)
−0.974173 + 0.225803i \(0.927499\pi\)
\(504\) 149850. + 102166.i 0.589924 + 0.402203i
\(505\) 1390.63 1108.99i 0.00545290 0.00434854i
\(506\) 21328.9 + 22987.1i 0.0833043 + 0.0897807i
\(507\) −59282.6 393314.i −0.230628 1.53011i
\(508\) 53704.8 235296.i 0.208107 0.911775i
\(509\) 20308.8 35175.8i 0.0783878 0.135772i −0.824167 0.566347i \(-0.808356\pi\)
0.902554 + 0.430576i \(0.141689\pi\)
\(510\) −125777. + 72617.6i −0.483573 + 0.279191i
\(511\) −255258. + 78736.6i −0.977546 + 0.301533i
\(512\) 163236. + 130176.i 0.622695 + 0.496583i
\(513\) −23233.1 310024.i −0.0882820 1.17804i
\(514\) 76376.6 36781.0i 0.289091 0.139219i
\(515\) 380987.i 1.43647i
\(516\) 195369. + 352912.i 0.733762 + 1.32546i
\(517\) 186561. 0.697976
\(518\) −3652.30 7584.07i −0.0136115 0.0282646i
\(519\) 458100. 34329.9i 1.70069 0.127449i
\(520\) 12327.6 15458.3i 0.0455902 0.0571684i
\(521\) 146349. + 474452.i 0.539156 + 1.74790i 0.656012 + 0.754751i \(0.272242\pi\)
−0.116856 + 0.993149i \(0.537282\pi\)
\(522\) −7687.74 13315.6i −0.0282136 0.0488673i
\(523\) −316482. 182721.i −1.15703 0.668014i −0.206443 0.978459i \(-0.566189\pi\)
−0.950592 + 0.310444i \(0.899522\pi\)
\(524\) 340776. + 77779.9i 1.24110 + 0.283273i
\(525\) 1.29642e6 195404.i 4.70357 0.708949i
\(526\) −35063.8 + 32534.5i −0.126732 + 0.117590i
\(527\) −146036. 183124.i −0.525822 0.659360i
\(528\) 111072. 162913.i 0.398418 0.584371i
\(529\) −161308. 149672.i −0.576427 0.534846i
\(530\) −1753.38 + 23397.3i −0.00624202 + 0.0832940i
\(531\) −82181.6 209395.i −0.291464 0.742639i
\(532\) 136775. + 599251.i 0.483264 + 2.11732i
\(533\) −11840.4 3652.29i −0.0416786 0.0128561i
\(534\) 13605.0 + 19954.9i 0.0477108 + 0.0699789i
\(535\) 35316.7 234311.i 0.123388 0.818624i
\(536\) −102756. 40328.7i −0.357665 0.140373i
\(537\) 135737. + 65367.4i 0.470705 + 0.226680i
\(538\) −13249.4 + 27512.7i −0.0457754 + 0.0950537i
\(539\) −45505.2 + 115945.i −0.156633 + 0.399095i
\(540\) 358609. + 54051.6i 1.22980 + 0.185362i
\(541\) −125587. + 85623.5i −0.429090 + 0.292549i −0.758543 0.651623i \(-0.774088\pi\)
0.329452 + 0.944172i \(0.393136\pi\)
\(542\) 6268.99 20323.6i 0.0213402 0.0691833i
\(543\) 352000. 80341.7i 1.19383 0.272484i
\(544\) 156622. 61469.5i 0.529242 0.207712i
\(545\) 67080.6 + 5026.99i 0.225841 + 0.0169245i
\(546\) −8961.33 + 9658.02i −0.0300599 + 0.0323969i
\(547\) 227052. + 154801.i 0.758840 + 0.517368i 0.879832 0.475285i \(-0.157655\pi\)
−0.120992 + 0.992654i \(0.538607\pi\)
\(548\) −200580. + 159957.i −0.667922 + 0.532650i
\(549\) 310751. + 334910.i 1.03102 + 1.11118i
\(550\) 9203.20 + 61059.2i 0.0304238 + 0.201849i
\(551\) 23592.2 103364.i 0.0777079 0.340461i
\(552\) 114817. 198869.i 0.376815 0.652662i
\(553\) −20858.1 + 12042.4i −0.0682062 + 0.0393789i
\(554\) 33664.3 10384.1i 0.109686 0.0338336i
\(555\) −85373.3 68082.9i −0.277164 0.221031i
\(556\) −24746.7 330221.i −0.0800510 1.06821i
\(557\) −154364. + 74337.6i −0.497547 + 0.239606i −0.665790 0.746139i \(-0.731905\pi\)
0.168242 + 0.985746i \(0.446191\pi\)
\(558\) 64562.0i 0.207352i
\(559\) −33138.0 + 12321.9i −0.106048 + 0.0394326i
\(560\) −691327. −2.20449
\(561\) −116226. 241346.i −0.369299 0.766858i
\(562\) −78246.0 + 5863.73i −0.247736 + 0.0185653i
\(563\) 232473. 291512.i 0.733425 0.919686i −0.265589 0.964086i \(-0.585566\pi\)
0.999014 + 0.0444006i \(0.0141378\pi\)
\(564\) −197918. 641635.i −0.622197 2.01711i
\(565\) 172423. + 298645.i 0.540129 + 0.935531i
\(566\) 97521.3 + 56304.0i 0.304415 + 0.175754i
\(567\) 142728. + 32576.8i 0.443960 + 0.101331i
\(568\) −160727. + 24225.7i −0.498187 + 0.0750896i
\(569\) −259832. + 241089.i −0.802543 + 0.744651i −0.970489 0.241145i \(-0.922477\pi\)
0.167946 + 0.985796i \(0.446286\pi\)
\(570\) −172114. 215824.i −0.529744 0.664278i
\(571\) 48468.2 71089.8i 0.148657 0.218040i −0.744686 0.667415i \(-0.767401\pi\)
0.893343 + 0.449375i \(0.148353\pi\)
\(572\) 13138.9 + 12191.1i 0.0401576 + 0.0372608i
\(573\) −65342.6 + 871937.i −0.199016 + 2.65568i
\(574\) −11563.6 29463.7i −0.0350971 0.0894259i
\(575\) −219041. 959683.i −0.662507 2.90263i
\(576\) −371733. 114664.i −1.12043 0.345608i
\(577\) 145855. + 213930.i 0.438097 + 0.642571i 0.980262 0.197701i \(-0.0633476\pi\)
−0.542165 + 0.840272i \(0.682395\pi\)
\(578\) 1593.94 10575.1i 0.00477109 0.0316541i
\(579\) 508220. + 199462.i 1.51598 + 0.594980i
\(580\) 111428. + 53661.0i 0.331237 + 0.159516i
\(581\) 64290.9 133502.i 0.190457 0.395489i
\(582\) −14708.4 + 37476.3i −0.0434229 + 0.110640i
\(583\) −42792.0 6449.86i −0.125900 0.0189764i
\(584\) −76122.4 + 51899.4i −0.223196 + 0.152173i
\(585\) −29872.9 + 96845.6i −0.0872903 + 0.282988i
\(586\) −51444.7 + 11741.9i −0.149812 + 0.0341935i
\(587\) −231875. + 91004.3i −0.672942 + 0.264110i −0.677111 0.735881i \(-0.736768\pi\)
0.00416856 + 0.999991i \(0.498673\pi\)
\(588\) 447044. + 33501.3i 1.29299 + 0.0968962i
\(589\) 302806. 326347.i 0.872839 0.940696i
\(590\) −51757.4 35287.6i −0.148685 0.101372i
\(591\) −279152. + 222616.i −0.799220 + 0.637356i
\(592\) 27029.9 + 29131.3i 0.0771261 + 0.0831222i
\(593\) −19105.2 126755.i −0.0543304 0.360459i −0.999433 0.0336837i \(-0.989276\pi\)
0.945102 0.326775i \(-0.105962\pi\)
\(594\) 5153.04 22576.9i 0.0146046 0.0639870i
\(595\) −469606. + 813381.i −1.32648 + 2.29752i
\(596\) −224849. + 129817.i −0.632993 + 0.365459i
\(597\) −791146. + 244036.i −2.21977 + 0.684708i
\(598\) 7733.88 + 6167.57i 0.0216270 + 0.0172469i
\(599\) −716.242 9557.59i −0.00199621 0.0266376i 0.996117 0.0880422i \(-0.0280610\pi\)
−0.998113 + 0.0614046i \(0.980442\pi\)
\(600\) 407404. 196196.i 1.13168 0.544988i
\(601\) 532029.i 1.47294i −0.676468 0.736472i \(-0.736490\pi\)
0.676468 0.736472i \(-0.263510\pi\)
\(602\) −77386.0 46556.2i −0.213535 0.128465i
\(603\) 565826. 1.55614
\(604\) 69675.3 + 144682.i 0.190987 + 0.396590i
\(605\) 491188. 36809.5i 1.34195 0.100565i
\(606\) −254.872 + 319.599i −0.000694028 + 0.000870284i
\(607\) −71483.1 231742.i −0.194011 0.628967i −0.999346 0.0361484i \(-0.988491\pi\)
0.805336 0.592819i \(-0.201985\pi\)
\(608\) 159899. + 276953.i 0.432552 + 0.749203i
\(609\) −145212. 83838.5i −0.391534 0.226052i
\(610\) 124038. + 28311.0i 0.333347 + 0.0760843i
\(611\) 58194.0 8771.34i 0.155882 0.0234954i
\(612\) −419098. + 388866.i −1.11896 + 1.03824i
\(613\) −5444.74 6827.49i −0.0144896 0.0181694i 0.774534 0.632532i \(-0.217984\pi\)
−0.789023 + 0.614363i \(0.789413\pi\)
\(614\) −22384.4 + 32831.9i −0.0593757 + 0.0870882i
\(615\) −300987. 279275.i −0.795787 0.738382i
\(616\) −6961.40 + 92893.4i −0.0183457 + 0.244807i
\(617\) −96025.0 244668.i −0.252240 0.642697i 0.747528 0.664230i \(-0.231241\pi\)
−0.999768 + 0.0215331i \(0.993145\pi\)
\(618\) −19483.9 85364.7i −0.0510152 0.223512i
\(619\) 190.690 + 58.8200i 0.000497676 + 0.000153513i 0.295004 0.955496i \(-0.404679\pi\)
−0.294506 + 0.955650i \(0.595155\pi\)
\(620\) 292542. + 429081.i 0.761036 + 1.11624i
\(621\) −55020.9 + 365040.i −0.142674 + 0.946579i
\(622\) −41510.3 16291.6i −0.107294 0.0421098i
\(623\) 140717. + 67765.5i 0.362551 + 0.174595i
\(624\) 26987.3 56039.7i 0.0693091 0.143922i
\(625\) 247548. 630742.i 0.633723 1.61470i
\(626\) −2790.70 420.630i −0.00712138 0.00107338i
\(627\) 420679. 286814.i 1.07008 0.729568i
\(628\) −192255. + 623276.i −0.487482 + 1.58038i
\(629\) 52635.4 12013.7i 0.133038 0.0303651i
\(630\) −240990. + 94581.8i −0.607182 + 0.238301i
\(631\) −84649.0 6343.57i −0.212600 0.0159322i −0.0319957 0.999488i \(-0.510186\pi\)
−0.180604 + 0.983556i \(0.557805\pi\)
\(632\) −5650.08 + 6089.34i −0.0141456 + 0.0152453i
\(633\) −919871. 627157.i −2.29572 1.56520i
\(634\) −44466.2 + 35460.6i −0.110625 + 0.0882201i
\(635\) 476763. + 513828.i 1.18237 + 1.27430i
\(636\) 23214.2 + 154016.i 0.0573903 + 0.380760i
\(637\) −8743.17 + 38306.3i −0.0215472 + 0.0944043i
\(638\) 3948.65 6839.26i 0.00970079 0.0168023i
\(639\) 721547. 416585.i 1.76711 1.02024i
\(640\) −472335. + 145696.i −1.15316 + 0.355703i
\(641\) 354228. + 282487.i 0.862118 + 0.687516i 0.951222 0.308506i \(-0.0998290\pi\)
−0.0891043 + 0.996022i \(0.528400\pi\)
\(642\) 4069.69 + 54306.3i 0.00987397 + 0.131759i
\(643\) 674745. 324940.i 1.63199 0.785925i 0.632051 0.774927i \(-0.282213\pi\)
0.999940 0.0109979i \(-0.00350080\pi\)
\(644\) 729867.i 1.75983i
\(645\) −1.16650e6 108567.i −2.80391 0.260963i
\(646\) 136485. 0.327053
\(647\) −174972. 363334.i −0.417985 0.867955i −0.998555 0.0537443i \(-0.982884\pi\)
0.580570 0.814211i \(-0.302830\pi\)
\(648\) 50351.5 3773.33i 0.119912 0.00898616i
\(649\) 72036.9 90331.4i 0.171027 0.214462i
\(650\) 5741.51 + 18613.5i 0.0135894 + 0.0440556i
\(651\) −352039. 609750.i −0.830671 1.43876i
\(652\) −142608. 82334.5i −0.335465 0.193681i
\(653\) −194559. 44406.9i −0.456274 0.104141i −0.0117940 0.999930i \(-0.503754\pi\)
−0.444480 + 0.895789i \(0.646611\pi\)
\(654\) −15287.3 + 2304.19i −0.0357417 + 0.00538719i
\(655\) −744170. + 690489.i −1.73456 + 1.60944i
\(656\) 93166.2 + 116827.i 0.216496 + 0.271478i
\(657\) 266029. 390193.i 0.616309 0.903959i
\(658\) 110201. + 102251.i 0.254526 + 0.236166i
\(659\) −47748.0 + 637153.i −0.109947 + 1.46715i 0.620516 + 0.784194i \(0.286923\pi\)
−0.730464 + 0.682952i \(0.760696\pi\)
\(660\) 216986. + 552872.i 0.498132 + 1.26922i
\(661\) 123005. + 538918.i 0.281526 + 1.23345i 0.895837 + 0.444382i \(0.146577\pi\)
−0.614311 + 0.789064i \(0.710566\pi\)
\(662\) −26885.0 8292.93i −0.0613471 0.0189231i
\(663\) −47601.6 69818.7i −0.108292 0.158834i
\(664\) 7616.89 50534.8i 0.0172759 0.114618i
\(665\) −1.66176e6 652193.i −3.75773 1.47480i
\(666\) 13407.9 + 6456.91i 0.0302282 + 0.0145572i
\(667\) −54623.3 + 113426.i −0.122780 + 0.254954i
\(668\) −217042. + 553013.i −0.486396 + 1.23932i
\(669\) 629075. + 94817.7i 1.40556 + 0.211854i
\(670\) 130190. 88762.3i 0.290021 0.197733i
\(671\) −69167.8 + 224237.i −0.153624 + 0.498037i
\(672\) 493088. 112544.i 1.09191 0.249221i
\(673\) 531430. 208571.i 1.17332 0.460494i 0.303004 0.952989i \(-0.402010\pi\)
0.870315 + 0.492495i \(0.163915\pi\)
\(674\) −34445.5 2581.34i −0.0758251 0.00568231i
\(675\) −494444. + 532884.i −1.08520 + 1.16957i
\(676\) −360265. 245625.i −0.788368 0.537500i
\(677\) 286999. 228874.i 0.626185 0.499366i −0.258220 0.966086i \(-0.583136\pi\)
0.884405 + 0.466721i \(0.154565\pi\)
\(678\) −53906.3 58097.2i −0.117268 0.126385i
\(679\) 38803.1 + 257442.i 0.0841642 + 0.558393i
\(680\) −72081.8 + 315811.i −0.155886 + 0.682983i
\(681\) −491879. + 851959.i −1.06063 + 1.83707i
\(682\) 28718.2 16580.5i 0.0617431 0.0356474i
\(683\) −418549. + 129105.i −0.897232 + 0.276759i −0.708869 0.705340i \(-0.750794\pi\)
−0.188363 + 0.982099i \(0.560318\pi\)
\(684\) −849588. 677524.i −1.81592 1.44815i
\(685\) −55681.4 743017.i −0.118667 1.58350i
\(686\) 15231.2 7334.95i 0.0323657 0.0155865i
\(687\) 446036.i 0.945054i
\(688\) 413892. + 102341.i 0.874400 + 0.216209i
\(689\) −13651.4 −0.0287566
\(690\) 142222. + 295327.i 0.298723 + 0.620305i
\(691\) 231539. 17351.5i 0.484918 0.0363396i 0.169971 0.985449i \(-0.445632\pi\)
0.314947 + 0.949109i \(0.398013\pi\)
\(692\) 313983. 393722.i 0.655682 0.822199i
\(693\) −140744. 456280.i −0.293064 0.950091i
\(694\) 489.482 + 847.808i 0.00101629 + 0.00176027i
\(695\) 832900. + 480875.i 1.72434 + 0.995548i
\(696\) −56381.6 12868.7i −0.116391 0.0265655i
\(697\) 200739. 30256.5i 0.413205 0.0622806i
\(698\) 9046.60 8394.02i 0.0185684 0.0172290i
\(699\) 232533. + 291587.i 0.475915 + 0.596779i
\(700\) 809615. 1.18749e6i 1.65228 2.42344i
\(701\) −285628. 265024.i −0.581252 0.539323i 0.333808 0.942641i \(-0.391666\pi\)
−0.915060 + 0.403318i \(0.867857\pi\)
\(702\) 545.913 7284.70i 0.00110777 0.0147821i
\(703\) 37490.3 + 95523.6i 0.0758591 + 0.193286i
\(704\) −44461.9 194800.i −0.0897104 0.393047i
\(705\) 1.86350e6 + 574813.i 3.74931 + 1.15651i
\(706\) 24021.0 + 35232.4i 0.0481928 + 0.0706859i
\(707\) −393.997 + 2614.00i −0.000788233 + 0.00522958i
\(708\) −387097. 151924.i −0.772241 0.303082i
\(709\) 492941. + 237388.i 0.980625 + 0.472244i 0.854320 0.519747i \(-0.173974\pi\)
0.126305 + 0.991991i \(0.459688\pi\)
\(710\) 100670. 209042.i 0.199701 0.414684i
\(711\) 15556.1 39636.3i 0.0307724 0.0784068i
\(712\) 53265.9 + 8028.54i 0.105073 + 0.0158371i
\(713\) −436775. + 297788.i −0.859169 + 0.585772i
\(714\) 63624.0 206264.i 0.124803 0.404601i
\(715\) −50750.3 + 11583.4i −0.0992719 + 0.0226582i
\(716\) 153737. 60337.2i 0.299883 0.117695i
\(717\) 478514. + 35859.7i 0.930800 + 0.0697538i
\(718\) 21105.1 22745.9i 0.0409391 0.0441219i
\(719\) 419808. + 286220.i 0.812070 + 0.553660i 0.896641 0.442758i \(-0.146000\pi\)
−0.0845716 + 0.996417i \(0.526952\pi\)
\(720\) 955554. 762029.i 1.84328 1.46996i
\(721\) −385138. 415080.i −0.740876 0.798474i
\(722\) 24451.9 + 162228.i 0.0469070 + 0.311208i
\(723\) 105524. 462332.i 0.201872 0.884458i
\(724\) 197897. 342768.i 0.377540 0.653918i
\(725\) −214692. + 123952.i −0.408450 + 0.235819i
\(726\) −108174. + 33367.3i −0.205235 + 0.0633065i
\(727\) −223188. 177987.i −0.422282 0.336759i 0.389182 0.921161i \(-0.372758\pi\)
−0.811464 + 0.584402i \(0.801329\pi\)
\(728\) 2196.00 + 29303.5i 0.00414352 + 0.0552914i
\(729\) −770733. + 371165.i −1.45027 + 0.698413i
\(730\) 131512.i 0.246785i
\(731\) 401559. 417446.i 0.751475 0.781206i
\(732\) 844590. 1.57624
\(733\) −161212. 334759.i −0.300046 0.623053i 0.695374 0.718648i \(-0.255239\pi\)
−0.995420 + 0.0955953i \(0.969525\pi\)
\(734\) −115072. + 8623.46i −0.213588 + 0.0160062i
\(735\) −811776. + 1.01794e6i −1.50266 + 1.88428i
\(736\) −111929. 362866.i −0.206628 0.669871i
\(737\) 145312. + 251688.i 0.267527 + 0.463370i
\(738\) 48460.3 + 27978.5i 0.0889760 + 0.0513703i
\(739\) 909224. + 207524.i 1.66488 + 0.379997i 0.948266 0.317477i \(-0.102835\pi\)
0.716610 + 0.697474i \(0.245693\pi\)
\(740\) −118367. + 17840.9i −0.216156 + 0.0325802i
\(741\) 117738. 109245.i 0.214427 0.198959i
\(742\) −21741.9 27263.5i −0.0394903 0.0495192i
\(743\) −513778. + 753574.i −0.930674 + 1.36505i 0.000314376 1.00000i \(0.499900\pi\)
−0.930989 + 0.365048i \(0.881052\pi\)
\(744\) −178011. 165170.i −0.321589 0.298391i
\(745\) 56350.5 751945.i 0.101528 1.35479i
\(746\) 39709.1 + 101177.i 0.0713531 + 0.181805i
\(747\) 58291.6 + 255392.i 0.104464 + 0.457685i
\(748\) −280604. 86554.9i −0.501523 0.154699i
\(749\) 198387. + 290980.i 0.353630 + 0.518680i
\(750\) −53015.5 + 351735.i −0.0942498 + 0.625306i
\(751\) 871218. + 341928.i 1.54471 + 0.606254i 0.976287 0.216482i \(-0.0694584\pi\)
0.568423 + 0.822736i \(0.307554\pi\)
\(752\) −639429. 307933.i −1.13072 0.544528i
\(753\) 269295. 559196.i 0.474939 0.986221i
\(754\) 910.148 2319.02i 0.00160092 0.00407908i
\(755\) −461178. 69511.4i −0.809048 0.121944i
\(756\) −445340. + 303628.i −0.779199 + 0.531249i
\(757\) −238016. + 771628.i −0.415350 + 1.34653i 0.470435 + 0.882435i \(0.344097\pi\)
−0.885785 + 0.464096i \(0.846379\pi\)
\(758\) 54874.5 12524.7i 0.0955063 0.0217987i
\(759\) −562786. + 220877.i −0.976921 + 0.383413i
\(760\) −613979. 46011.3i −1.06298 0.0796595i
\(761\) 214705. 231397.i 0.370744 0.399566i −0.519931 0.854208i \(-0.674042\pi\)
0.890674 + 0.454642i \(0.150233\pi\)
\(762\) −133102. 90747.5i −0.229232 0.156288i
\(763\) −78165.1 + 62334.6i −0.134265 + 0.107073i
\(764\) 651958. + 702644.i 1.11695 + 1.20378i
\(765\) −247475. 1.64189e6i −0.422872 2.80557i
\(766\) 42211.7 184942.i 0.0719408 0.315193i
\(767\) 18223.5 31564.0i 0.0309771 0.0536538i
\(768\) −545984. + 315224.i −0.925672 + 0.534437i