Properties

Label 43.5.h.a.3.8
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 3.8
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.8

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.317475 + 0.659244i −0.0793688 + 0.164811i −0.936877 0.349660i \(-0.886297\pi\)
0.857508 + 0.514471i \(0.172012\pi\)
\(3\) 14.0677 + 1.05423i 1.56308 + 0.117137i 0.827954 0.560795i \(-0.189505\pi\)
0.735125 + 0.677932i \(0.237124\pi\)
\(4\) 9.64202 + 12.0907i 0.602627 + 0.755670i
\(5\) 13.2386 42.9184i 0.529543 1.71674i −0.155137 0.987893i \(-0.549582\pi\)
0.684680 0.728844i \(-0.259942\pi\)
\(6\) −5.16114 + 8.93936i −0.143365 + 0.248316i
\(7\) −57.8093 + 33.3762i −1.17978 + 0.681147i −0.955964 0.293484i \(-0.905185\pi\)
−0.223817 + 0.974631i \(0.571852\pi\)
\(8\) −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 −0.600743 0.799442i \(-0.705128\pi\)
0.913077 + 0.407788i \(0.133700\pi\)
\(12\) 122.895 + 180.254i 0.853436 + 1.25176i
\(13\) 14.0167 13.0056i 0.0829389 0.0769561i −0.637614 0.770356i \(-0.720079\pi\)
0.720553 + 0.693400i \(0.243888\pi\)
\(14\) −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 −0.765616 0.643298i \(-0.777566\pi\)
−0.270199 + 0.962804i \(0.587090\pi\)
\(18\) −48.6427 + 71.3457i −0.150132 + 0.220203i
\(19\) 88.7442 + 588.780i 0.245829 + 1.63097i 0.682175 + 0.731189i \(0.261034\pi\)
−0.436346 + 0.899779i \(0.643728\pi\)
\(20\) 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 −0.936641 0.350291i \(-0.886083\pi\)
0.448348 0.893859i \(-0.352013\pi\)
\(24\) −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 0.0312560 0.999511i \(-0.490049\pi\)
0.179876 + 0.983689i \(0.442430\pi\)
\(30\) 315.337 + 339.853i 0.350375 + 0.377614i
\(31\) 617.761 421.182i 0.642831 0.438275i −0.197534 0.980296i \(-0.563293\pi\)
0.840365 + 0.542021i \(0.182341\pi\)
\(32\) −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 0.444497 0.895780i \(-0.353382\pi\)
−0.553520 + 0.832836i \(0.686716\pi\)
\(38\) −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 0.252085 0.967705i \(-0.418884\pi\)
−0.599410 + 0.800442i \(0.704598\pi\)
\(42\) 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 0.995248 + 0.0973770i \(0.0310453\pi\)
−0.126528 + 0.991963i \(0.540383\pi\)
\(48\) −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 0.581500 0.813546i \(-0.302466\pi\)
−0.767816 + 0.640671i \(0.778656\pi\)
\(54\) −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 0.876752 + 0.480943i \(0.159706\pi\)
−0.998599 + 0.0529064i \(0.983152\pi\)
\(60\) 9363.15 2888.15i 2.60088 0.802264i
\(61\) 2180.83 3198.70i 0.586088 0.859634i −0.412596 0.910914i \(-0.635378\pi\)
0.998684 + 0.0512805i \(0.0163303\pi\)
\(62\) 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 0.402071 0.915609i \(-0.368291\pi\)
0.654088 + 0.756418i \(0.273052\pi\)
\(68\) −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 0.912668 0.408701i \(-0.134018\pi\)
0.391046 + 0.920371i \(0.372113\pi\)
\(72\) −2709.37 + 203.039i −0.522641 + 0.0391665i
\(73\) 2721.87 + 2933.48i 0.510765 + 0.550474i 0.934801 0.355171i \(-0.115577\pi\)
−0.424036 + 0.905645i \(0.639387\pi\)
\(74\) 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 0.880117 0.474757i \(-0.157464\pi\)
−0.851210 + 0.524825i \(0.824131\pi\)
\(80\) 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 −0.972137 0.234414i \(-0.924683\pi\)
0.996217 0.0869059i \(-0.0276980\pi\)
\(84\) −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 −0.0733690 0.997305i \(-0.523375\pi\)
−0.221190 + 0.975231i \(0.570994\pi\)
\(90\) 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 −0.894080 0.447908i \(-0.852169\pi\)
0.635630 + 0.771994i \(0.280741\pi\)
\(98\) 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 −0.931581 0.363533i \(-0.881570\pi\)
0.930163 + 0.367147i \(0.119665\pi\)
\(102\) 719.553 3152.57i 0.0691612 0.303015i
\(103\) 8105.76 2500.29i 0.764045 0.235677i 0.111847 0.993725i \(-0.464323\pi\)
0.652198 + 0.758049i \(0.273847\pi\)
\(104\) −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 −0.629798 0.776759i \(-0.716862\pi\)
0.214622 + 0.976697i \(0.431148\pi\)
\(108\) 3503.43 + 7274.94i 0.300362 + 0.623709i
\(109\) 547.181 + 1394.20i 0.0460552 + 0.117347i 0.952050 0.305941i \(-0.0989711\pi\)
−0.905995 + 0.423288i \(0.860876\pi\)
\(110\) 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 0.505336 0.862923i \(-0.331369\pi\)
0.0808835 + 0.996724i \(0.474226\pi\)
\(114\) −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 0.815615 0.578596i \(-0.196399\pi\)
0.0561632 + 0.998422i \(0.482113\pi\)
\(128\) 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 −0.392285 0.919844i \(-0.628315\pi\)
0.963749 0.266812i \(-0.0859703\pi\)
\(132\) 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 −0.630471 0.776213i \(-0.717138\pi\)
−0.231249 + 0.972895i \(0.574281\pi\)
\(138\) 7216.65 + 1087.73i 0.378946 + 0.0571169i
\(139\) 15697.0 + 14564.7i 0.812432 + 0.753827i 0.972406 0.233294i \(-0.0749505\pi\)
−0.159974 + 0.987121i \(0.551141\pi\)
\(140\) −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 −0.690192 0.723626i \(-0.742474\pi\)
−0.0137557 + 0.999905i \(0.504379\pi\)
\(150\) 12948.0 6235.44i 0.575467 0.277130i
\(151\) −4505.47 9355.70i −0.197600 0.410320i 0.778500 0.627645i \(-0.215981\pi\)
−0.976099 + 0.217325i \(0.930267\pi\)
\(152\) −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 −0.607273 0.794493i \(-0.707737\pi\)
−0.985555 + 0.169354i \(0.945832\pi\)
\(158\) −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 0.938908 + 0.344167i \(0.111839\pi\)
−0.998640 + 0.0521288i \(0.983399\pi\)
\(164\) −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 −0.444416 0.895820i \(-0.646589\pi\)
−0.871828 + 0.489813i \(0.837065\pi\)
\(168\) 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 −0.348682 0.937241i \(-0.613371\pi\)
0.637333 + 0.770588i \(0.280038\pi\)
\(180\) 79912.9 18239.6i 2.46645 0.562951i
\(181\) 25307.7 + 3814.52i 0.772495 + 0.116435i 0.523449 0.852057i \(-0.324645\pi\)
0.249046 + 0.968492i \(0.419883\pi\)
\(182\) −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 −0.648303 0.761383i \(-0.724521\pi\)
0.395079 0.918647i \(-0.370717\pi\)
\(192\) −43288.5 + 16989.5i −1.17427 + 0.460869i
\(193\) 34868.4 16791.7i 0.936088 0.450796i 0.0973008 0.995255i \(-0.468979\pi\)
0.838788 + 0.544459i \(0.183265\pi\)
\(194\) −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 0.263109 0.964766i \(-0.415252\pi\)
−0.801951 + 0.597390i \(0.796205\pi\)
\(198\) 1542.76 + 5001.51i 0.0393521 + 0.127577i
\(199\) −57217.1 13059.4i −1.44484 0.329775i −0.572995 0.819559i \(-0.694219\pi\)
−0.871844 + 0.489784i \(0.837076\pi\)
\(200\) 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 −0.404217 + 0.914663i \(0.632456\pi\)
−0.981677 + 0.190551i \(0.938973\pi\)
\(212\) 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 0.243720 0.969846i \(-0.421632\pi\)
0.640384 + 0.768055i \(0.278775\pi\)
\(224\) 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 −0.989533 0.144305i \(-0.953905\pi\)
0.227187 0.973851i \(-0.427047\pi\)
\(228\) −95223.4 + 88354.4i −1.83178 + 1.69965i
\(229\) −2362.79 31529.3i −0.0450563 0.601234i −0.973341 0.229363i \(-0.926336\pi\)
0.928285 0.371871i \(-0.121283\pi\)
\(230\) 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 −0.664212 0.747544i \(-0.731233\pi\)
0.938533 + 0.345189i \(0.112185\pi\)
\(234\) 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 0.152138 0.988359i \(-0.451384\pi\)
0.436703 + 0.899606i \(0.356146\pi\)
\(240\) 120715. + 82302.1i 2.09575 + 1.42886i
\(241\) 9908.40 + 32122.2i 0.170596 + 0.553059i 0.999984 0.00561369i \(-0.00178690\pi\)
−0.829388 + 0.558673i \(0.811311\pi\)
\(242\) −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 0.986102 0.166139i \(-0.0531301\pi\)
−0.636932 + 0.770920i \(0.719797\pi\)
\(252\) −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 \(-0.659517\pi\)
0.480423 0.877037i \(-0.340483\pi\)
\(258\) 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 0.702865 + 0.711324i \(0.251904\pi\)
−0.981437 + 0.191785i \(0.938572\pi\)
\(264\) −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 −0.928415 0.371545i \(-0.878828\pi\)
0.568821 + 0.822461i \(0.307400\pi\)
\(270\) 9666.12 + 14177.6i 0.132594 + 0.194480i
\(271\) 21307.6 19770.6i 0.290132 0.269203i −0.521655 0.853156i \(-0.674685\pi\)
0.811787 + 0.583953i \(0.198495\pi\)
\(272\) −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 −0.985663 0.168726i \(-0.946035\pi\)
0.892140 0.451760i \(-0.149203\pi\)
\(278\) −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 0.931434 + 0.363911i \(0.118559\pi\)
−0.435267 + 0.900301i \(0.643346\pi\)
\(282\) −31415.5 + 4735.12i −0.395044 + 0.0595433i
\(283\) −127156. 86693.7i −1.58769 1.08247i −0.950035 0.312144i \(-0.898953\pi\)
−0.637653 0.770324i \(-0.720095\pi\)
\(284\) 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 0.978226 + 0.207544i \(0.0665472\pi\)
−0.791301 + 0.611427i \(0.790596\pi\)
\(294\) 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 −0.973357 0.229296i \(-0.926358\pi\)
0.685254 + 0.728304i \(0.259691\pi\)
\(308\) −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 0.876483 0.481434i \(-0.159884\pi\)
−0.414588 + 0.910009i \(0.636074\pi\)
\(312\) −3872.02 + 4855.36i −0.0397767 + 0.0498784i
\(313\) 2172.75 + 3186.84i 0.0221779 + 0.0325290i 0.837168 0.546946i \(-0.184210\pi\)
−0.814990 + 0.579475i \(0.803257\pi\)
\(314\) 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 0.813003 + 0.582260i \(0.197831\pi\)
−0.985123 + 0.171850i \(0.945026\pi\)
\(318\) 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 0.841033 0.540984i \(-0.181948\pi\)
−0.602322 + 0.798254i \(0.705757\pi\)
\(332\) 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 0.951033 0.309090i \(-0.100024\pi\)
−0.743196 + 0.669074i \(0.766691\pi\)
\(338\) −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 0.0691887 0.997604i \(-0.477959\pi\)
−0.0802691 + 0.996773i \(0.525578\pi\)
\(348\) 24220.0 + 30370.9i 0.199994 + 0.250784i
\(349\) 4971.37 16116.8i 0.0408155 0.132321i −0.932872 0.360208i \(-0.882706\pi\)
0.973687 + 0.227888i \(0.0731819\pi\)
\(350\) −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 −0.0863191 0.996268i \(-0.527510\pi\)
−0.376139 + 0.926563i \(0.622749\pi\)
\(354\) −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 −0.858085 0.513508i \(-0.828346\pi\)
0.978295 + 0.207218i \(0.0664408\pi\)
\(360\) −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 0.968557 + 0.248791i \(0.0800333\pi\)
−0.540782 + 0.841163i \(0.681871\pi\)
\(368\) 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 −0.595534 0.803330i \(-0.703060\pi\)
−0.469153 + 0.883117i \(0.655441\pi\)
\(374\) −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 −0.998911 0.0466558i \(-0.985144\pi\)
0.879745 0.475447i \(-0.157714\pi\)
\(380\) 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 0.399051 0.916929i \(-0.369340\pi\)
0.982737 0.185011i \(-0.0592319\pi\)
\(384\) 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 −0.226214 + 0.974078i \(0.572635\pi\)
−0.620522 + 0.784189i \(0.713079\pi\)
\(390\) 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 0.326380 0.945239i \(-0.394171\pi\)
−0.918205 + 0.396105i \(0.870361\pi\)
\(398\) 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 0.957611 + 0.288063i \(0.0930113\pi\)
−0.903982 + 0.427570i \(0.859370\pi\)
\(402\) −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 −0.908314 0.418289i \(-0.862630\pi\)
0.239293 0.970948i \(-0.423085\pi\)
\(410\) −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 0.570595 0.821232i \(-0.306713\pi\)
−0.673672 + 0.739030i \(0.735284\pi\)
\(420\) −444882. + 479468.i −2.52201 + 2.71808i
\(421\) 27286.3 181033.i 0.153950 1.02139i −0.769769 0.638323i \(-0.779628\pi\)
0.923719 0.383071i \(-0.125133\pi\)
\(422\) −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 −0.576489 0.817105i \(-0.695577\pi\)
−0.691833 + 0.722058i \(0.743197\pi\)
\(434\) −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 −0.0821013 0.996624i \(-0.526163\pi\)
−0.372214 + 0.928147i \(0.621401\pi\)
\(440\) 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 −0.815775 0.578369i \(-0.803689\pi\)
0.515789 + 0.856716i \(0.327499\pi\)
\(444\) −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 0.798445 + 0.602068i \(0.205656\pi\)
−0.585509 + 0.810666i \(0.699105\pi\)
\(450\) 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 0.742169 0.670213i \(-0.233797\pi\)
0.377876 + 0.925856i \(0.376654\pi\)
\(458\) 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 −0.518466 0.855098i \(-0.673497\pi\)
0.606572 + 0.795029i \(0.292544\pi\)
\(462\) −32653.6 26040.4i −0.152984 0.122001i
\(463\) −82369.2 + 88772.9i −0.384240 + 0.414112i −0.895322 0.445420i \(-0.853054\pi\)
0.511082 + 0.859532i \(0.329245\pi\)
\(464\) −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 0.371876 0.928282i \(-0.378714\pi\)
−0.617978 + 0.786196i \(0.712048\pi\)
\(468\) 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 −0.947391 0.320080i \(-0.896290\pi\)
0.750893 + 0.660424i \(0.229624\pi\)
\(480\) −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 0.550323 + 0.834952i \(0.314505\pi\)
−0.419733 + 0.907648i \(0.637876\pi\)
\(488\) −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 −0.881546 0.472098i \(-0.843497\pi\)
0.761528 + 0.648132i \(0.224449\pi\)
\(492\) −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 0.735131 + 0.677925i \(0.237120\pi\)
−0.225506 + 0.974242i \(0.572403\pi\)
\(500\) −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 −0.974173 0.225803i \(-0.927499\pi\)
−0.152371 0.988323i \(-0.548691\pi\)
\(504\) 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 0.902554 0.430576i \(-0.141689\pi\)
−0.824167 + 0.566347i \(0.808356\pi\)
\(510\) −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 −0.116856 0.993149i \(-0.537282\pi\)
0.656012 0.754751i \(-0.272242\pi\)
\(522\) −7687.74 + 13315.6i −0.0282136 + 0.0488673i
\(523\) −316482. + 182721.i −1.15703 + 0.668014i −0.950592 0.310444i \(-0.899522\pi\)
−0.206443 + 0.978459i \(0.566189\pi\)
\(524\) 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 0.329452 0.944172i \(-0.393136\pi\)
−0.758543 + 0.651623i \(0.774088\pi\)
\(542\) 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 −0.120992 0.992654i \(-0.538607\pi\)
0.879832 + 0.475285i \(0.157655\pi\)
\(548\) −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 0.168242 0.985746i \(-0.446191\pi\)
−0.665790 + 0.746139i \(0.731905\pi\)
\(558\) 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 0.999014 0.0444006i \(-0.0141378\pi\)
−0.265589 + 0.964086i \(0.585566\pi\)
\(564\) −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 0.167946 0.985796i \(-0.446286\pi\)
−0.970489 + 0.241145i \(0.922477\pi\)
\(570\) −172114. + 215824.i −0.529744 + 0.664278i
\(571\) 48468.2 + 71089.8i 0.148657 + 0.218040i 0.893343 0.449375i \(-0.148353\pi\)
−0.744686 + 0.667415i \(0.767401\pi\)
\(572\) 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 −0.542165 0.840272i \(-0.682395\pi\)
0.980262 + 0.197701i \(0.0633476\pi\)
\(578\) 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 0.00416856 0.999991i \(-0.498673\pi\)
−0.677111 + 0.735881i \(0.736768\pi\)
\(588\) 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 0.945102 + 0.326775i \(0.105962\pi\)
−0.999433 + 0.0336837i \(0.989276\pi\)
\(594\) 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 −0.998113 0.0614046i \(-0.980442\pi\)
0.996117 + 0.0880422i \(0.0280610\pi\)
\(600\) 407404. + 196196.i 1.13168 + 0.544988i
\(601\) 532029.i 1.47294i 0.676468 + 0.736472i \(0.263510\pi\)
−0.676468 + 0.736472i \(0.736490\pi\)
\(602\) −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 0.805336 + 0.592819i \(0.201985\pi\)
−0.999346 + 0.0361484i \(0.988491\pi\)
\(608\) 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 −0.789023 0.614363i \(-0.789413\pi\)
0.774534 + 0.632532i \(0.217984\pi\)
\(614\) −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 −0.999768 0.0215331i \(-0.993145\pi\)
0.747528 + 0.664230i \(0.231241\pi\)
\(618\) −19483.9 + 85364.7i −0.0510152 + 0.223512i
\(619\) 190.690 58.8200i 0.000497676 0.000153513i −0.294506 0.955650i \(-0.595155\pi\)
0.295004 + 0.955496i \(0.404679\pi\)
\(620\) 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 −0.180604 0.983556i \(-0.557805\pi\)
−0.0319957 + 0.999488i \(0.510186\pi\)
\(632\) −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 −0.0891043 0.996022i \(-0.528400\pi\)
0.951222 + 0.308506i \(0.0998290\pi\)
\(642\) 4069.69 54306.3i 0.00987397 0.131759i
\(643\) 674745. + 324940.i 1.63199 + 0.785925i 0.999940 + 0.0109979i \(0.00350080\pi\)
0.632051 + 0.774927i \(0.282213\pi\)
\(644\) 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 0.580570 + 0.814211i \(0.302830\pi\)
−0.998555 + 0.0537443i \(0.982884\pi\)
\(648\) 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 −0.444480 0.895789i \(-0.646611\pi\)
−0.0117940 + 0.999930i \(0.503754\pi\)
\(654\) −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 −0.730464 0.682952i \(-0.760696\pi\)
0.620516 0.784194i \(-0.286923\pi\)
\(660\) 216986. 552872.i 0.498132 1.26922i
\(661\) 123005. 538918.i 0.281526 1.23345i −0.614311 0.789064i \(-0.710566\pi\)
0.895837 0.444382i \(-0.146577\pi\)
\(662\) −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 0.870315 0.492495i \(-0.163915\pi\)
0.303004 + 0.952989i \(0.402010\pi\)
\(674\) −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 0.884405 0.466721i \(-0.154565\pi\)
−0.258220 + 0.966086i \(0.583136\pi\)
\(678\) −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 −0.188363 0.982099i \(-0.560318\pi\)
−0.708869 + 0.705340i \(0.750794\pi\)
\(684\) −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 0.314947 0.949109i \(-0.398013\pi\)
0.169971 + 0.985449i \(0.445632\pi\)
\(692\) 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 −0.915060 0.403318i \(-0.867857\pi\)
0.333808 + 0.942641i \(0.391666\pi\)
\(702\) 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 0.126305 0.991991i \(-0.459688\pi\)
0.854320 + 0.519747i \(0.173974\pi\)
\(710\) 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 −0.0845716 0.996417i \(-0.526952\pi\)
0.896641 + 0.442758i \(0.146000\pi\)
\(720\) 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 −0.811464 0.584402i \(-0.801329\pi\)
0.389182 + 0.921161i \(0.372758\pi\)
\(728\) 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 −0.995420 0.0955953i \(-0.969525\pi\)
0.695374 + 0.718648i \(0.255239\pi\)
\(734\) −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 0.716610 0.697474i \(-0.245693\pi\)
0.948266 + 0.317477i \(0.102835\pi\)
\(740\) −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 −0.930989 0.365048i \(-0.881052\pi\)
0.000314376 1.00000i \(-0.499900\pi\)
\(744\) −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 0.568423 0.822736i \(-0.307554\pi\)
0.976287 + 0.216482i \(0.0694584\pi\)
\(752\) −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 0.531249