Properties

Label 43.5.h.a.3.6
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 3.6
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.833611 + 1.73101i) q^{2} +(-5.15016 - 0.385951i) q^{3} +(7.67434 + 9.62332i) q^{4} +(0.609730 - 1.97669i) q^{5} +(4.96132 - 8.59325i) q^{6} +(-32.4341 + 18.7258i) q^{7} +(-53.0252 + 12.1027i) q^{8} +(-53.7201 - 8.09700i) q^{9} +O(q^{10})\) \(q+(-0.833611 + 1.73101i) q^{2} +(-5.15016 - 0.385951i) q^{3} +(7.67434 + 9.62332i) q^{4} +(0.609730 - 1.97669i) q^{5} +(4.96132 - 8.59325i) q^{6} +(-32.4341 + 18.7258i) q^{7} +(-53.0252 + 12.1027i) q^{8} +(-53.7201 - 8.09700i) q^{9} +(2.91340 + 2.70324i) q^{10} +(-114.909 + 144.091i) q^{11} +(-35.8100 - 52.5236i) q^{12} +(50.0054 - 46.3983i) q^{13} +(-5.37720 - 71.7537i) q^{14} +(-3.90311 + 9.94497i) q^{15} +(-20.5705 + 90.1253i) q^{16} +(134.060 - 41.3520i) q^{17} +(58.7977 - 86.2403i) q^{18} +(-13.7485 - 91.2151i) q^{19} +(23.7016 - 9.30221i) q^{20} +(174.268 - 83.9230i) q^{21} +(-153.634 - 319.025i) q^{22} +(173.109 + 441.074i) q^{23} +(277.759 - 41.8655i) q^{24} +(512.864 + 349.665i) q^{25} +(38.6308 + 125.238i) q^{26} +(681.386 + 155.522i) q^{27} +(-429.115 - 168.415i) q^{28} +(-488.210 + 36.5863i) q^{29} +(-13.9612 - 15.0466i) q^{30} +(638.029 - 435.001i) q^{31} +(-819.227 - 653.312i) q^{32} +(647.412 - 697.744i) q^{33} +(-40.1730 + 266.531i) q^{34} +(17.2392 + 75.5299i) q^{35} +(-334.347 - 579.105i) q^{36} +(1177.74 + 679.968i) q^{37} +(169.355 + 52.2392i) q^{38} +(-275.444 + 219.659i) q^{39} +(-8.40778 + 112.194i) q^{40} +(-2551.56 - 1228.76i) q^{41} +371.619i q^{42} +(-191.524 + 1839.05i) q^{43} -2268.49 q^{44} +(-48.7600 + 101.251i) q^{45} +(-907.810 - 68.0310i) q^{46} +(1229.36 + 1541.57i) q^{47} +(140.725 - 456.221i) q^{48} +(-499.188 + 864.619i) q^{49} +(-1032.80 + 596.288i) q^{50} +(-706.390 + 161.229i) q^{51} +(830.265 + 125.142i) q^{52} +(-433.300 - 402.044i) q^{53} +(-837.221 + 1049.84i) q^{54} +(214.761 + 314.997i) q^{55} +(1493.19 - 1385.48i) q^{56} +(35.6022 + 475.079i) q^{57} +(343.646 - 875.595i) q^{58} +(144.453 - 632.888i) q^{59} +(-125.657 + 38.7602i) q^{60} +(2844.86 - 4172.64i) q^{61} +(221.123 + 1467.06i) q^{62} +(1893.98 - 743.334i) q^{63} +(481.193 - 231.730i) q^{64} +(-61.2254 - 127.136i) q^{65} +(668.113 + 1702.32i) q^{66} +(-655.421 + 98.7889i) q^{67} +(1426.77 + 972.753i) q^{68} +(-721.306 - 2338.42i) q^{69} +(-145.114 - 33.1213i) q^{70} +(-2552.49 - 1001.78i) q^{71} +(2946.51 - 220.811i) q^{72} +(1944.60 + 2095.78i) q^{73} +(-2158.81 + 1471.85i) q^{74} +(-2506.38 - 1998.77i) q^{75} +(772.282 - 832.322i) q^{76} +(1028.74 - 6825.23i) q^{77} +(-150.619 - 659.906i) q^{78} +(4044.45 + 7005.19i) q^{79} +(165.608 + 95.6137i) q^{80} +(755.752 + 233.119i) q^{81} +(4254.01 - 3392.46i) q^{82} +(-363.511 + 4850.72i) q^{83} +(2145.01 + 1032.98i) q^{84} -290.209i q^{85} +(-3023.77 - 1864.59i) q^{86} +2528.48 q^{87} +(4349.18 - 9031.17i) q^{88} +(-7230.22 - 541.830i) q^{89} +(-134.620 - 168.808i) q^{90} +(-753.034 + 2441.28i) q^{91} +(-2916.10 + 5050.84i) q^{92} +(-3453.84 + 1994.08i) q^{93} +(-3693.29 + 842.970i) q^{94} +(-188.687 - 28.4400i) q^{95} +(3967.00 + 3680.84i) q^{96} +(3952.37 - 4956.11i) q^{97} +(-1080.54 - 1584.86i) q^{98} +(7339.63 - 6810.18i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.833611 + 1.73101i −0.208403 + 0.432753i −0.978802 0.204809i \(-0.934343\pi\)
0.770399 + 0.637562i \(0.220057\pi\)
\(3\) −5.15016 0.385951i −0.572240 0.0428835i −0.214532 0.976717i \(-0.568823\pi\)
−0.357708 + 0.933833i \(0.616442\pi\)
\(4\) 7.67434 + 9.62332i 0.479647 + 0.601458i
\(5\) 0.609730 1.97669i 0.0243892 0.0790678i −0.942560 0.334037i \(-0.891589\pi\)
0.966949 + 0.254969i \(0.0820652\pi\)
\(6\) 4.96132 8.59325i 0.137814 0.238701i
\(7\) −32.4341 + 18.7258i −0.661919 + 0.382159i −0.793008 0.609211i \(-0.791486\pi\)
0.131089 + 0.991371i \(0.458153\pi\)
\(8\) −53.0252 + 12.1027i −0.828519 + 0.189104i
\(9\) −53.7201 8.09700i −0.663211 0.0999630i
\(10\) 2.91340 + 2.70324i 0.0291340 + 0.0270324i
\(11\) −114.909 + 144.091i −0.949661 + 1.19084i 0.0318621 + 0.999492i \(0.489856\pi\)
−0.981523 + 0.191345i \(0.938715\pi\)
\(12\) −35.8100 52.5236i −0.248680 0.364747i
\(13\) 50.0054 46.3983i 0.295890 0.274546i −0.518231 0.855240i \(-0.673409\pi\)
0.814122 + 0.580694i \(0.197219\pi\)
\(14\) −5.37720 71.7537i −0.0274347 0.366090i
\(15\) −3.90311 + 9.94497i −0.0173472 + 0.0441999i
\(16\) −20.5705 + 90.1253i −0.0803536 + 0.352052i
\(17\) 134.060 41.3520i 0.463875 0.143087i −0.0540032 0.998541i \(-0.517198\pi\)
0.517878 + 0.855454i \(0.326722\pi\)
\(18\) 58.7977 86.2403i 0.181474 0.266174i
\(19\) −13.7485 91.2151i −0.0380844 0.252673i 0.961685 0.274158i \(-0.0883990\pi\)
−0.999769 + 0.0214841i \(0.993161\pi\)
\(20\) 23.7016 9.30221i 0.0592541 0.0232555i
\(21\) 174.268 83.9230i 0.395165 0.190301i
\(22\) −153.634 319.025i −0.317426 0.659142i
\(23\) 173.109 + 441.074i 0.327238 + 0.833789i 0.995920 + 0.0902405i \(0.0287636\pi\)
−0.668682 + 0.743549i \(0.733141\pi\)
\(24\) 277.759 41.8655i 0.482221 0.0726831i
\(25\) 512.864 + 349.665i 0.820582 + 0.559463i
\(26\) 38.6308 + 125.238i 0.0571462 + 0.185263i
\(27\) 681.386 + 155.522i 0.934686 + 0.213336i
\(28\) −429.115 168.415i −0.547340 0.214815i
\(29\) −488.210 + 36.5863i −0.580511 + 0.0435033i −0.361750 0.932275i \(-0.617821\pi\)
−0.218761 + 0.975778i \(0.570202\pi\)
\(30\) −13.9612 15.0466i −0.0155124 0.0167184i
\(31\) 638.029 435.001i 0.663922 0.452654i −0.183893 0.982946i \(-0.558870\pi\)
0.847815 + 0.530292i \(0.177918\pi\)
\(32\) −819.227 653.312i −0.800026 0.638000i
\(33\) 647.412 697.744i 0.594501 0.640720i
\(34\) −40.1730 + 266.531i −0.0347518 + 0.230563i
\(35\) 17.2392 + 75.5299i 0.0140728 + 0.0616571i
\(36\) −334.347 579.105i −0.257983 0.446840i
\(37\) 1177.74 + 679.968i 0.860291 + 0.496689i 0.864110 0.503303i \(-0.167882\pi\)
−0.00381843 + 0.999993i \(0.501215\pi\)
\(38\) 169.355 + 52.2392i 0.117282 + 0.0361767i
\(39\) −275.444 + 219.659i −0.181094 + 0.144417i
\(40\) −8.40778 + 112.194i −0.00525486 + 0.0701212i
\(41\) −2551.56 1228.76i −1.51788 0.730972i −0.525113 0.851032i \(-0.675977\pi\)
−0.992767 + 0.120060i \(0.961691\pi\)
\(42\) 371.619i 0.210668i
\(43\) −191.524 + 1839.05i −0.103582 + 0.994621i
\(44\) −2268.49 −1.17174
\(45\) −48.7600 + 101.251i −0.0240790 + 0.0500006i
\(46\) −907.810 68.0310i −0.429022 0.0321507i
\(47\) 1229.36 + 1541.57i 0.556525 + 0.697861i 0.977911 0.209021i \(-0.0670276\pi\)
−0.421386 + 0.906881i \(0.638456\pi\)
\(48\) 140.725 456.221i 0.0610787 0.198012i
\(49\) −499.188 + 864.619i −0.207908 + 0.360108i
\(50\) −1032.80 + 596.288i −0.413121 + 0.238515i
\(51\) −706.390 + 161.229i −0.271584 + 0.0619873i
\(52\) 830.265 + 125.142i 0.307051 + 0.0462804i
\(53\) −433.300 402.044i −0.154254 0.143127i 0.599270 0.800547i \(-0.295457\pi\)
−0.753525 + 0.657420i \(0.771648\pi\)
\(54\) −837.221 + 1049.84i −0.287113 + 0.360028i
\(55\) 214.761 + 314.997i 0.0709954 + 0.104131i
\(56\) 1493.19 1385.48i 0.476145 0.441798i
\(57\) 35.6022 + 475.079i 0.0109579 + 0.146223i
\(58\) 343.646 875.595i 0.102154 0.260284i
\(59\) 144.453 632.888i 0.0414974 0.181812i −0.949932 0.312458i \(-0.898848\pi\)
0.991429 + 0.130645i \(0.0417049\pi\)
\(60\) −125.657 + 38.7602i −0.0349049 + 0.0107667i
\(61\) 2844.86 4172.64i 0.764541 1.12138i −0.224606 0.974450i \(-0.572110\pi\)
0.989147 0.146926i \(-0.0469380\pi\)
\(62\) 221.123 + 1467.06i 0.0575243 + 0.381649i
\(63\) 1893.98 743.334i 0.477194 0.187285i
\(64\) 481.193 231.730i 0.117479 0.0565748i
\(65\) −61.2254 127.136i −0.0144912 0.0300913i
\(66\) 668.113 + 1702.32i 0.153378 + 0.390800i
\(67\) −655.421 + 98.7889i −0.146006 + 0.0220069i −0.221639 0.975129i \(-0.571141\pi\)
0.0756325 + 0.997136i \(0.475902\pi\)
\(68\) 1426.77 + 972.753i 0.308557 + 0.210370i
\(69\) −721.306 2338.42i −0.151503 0.491161i
\(70\) −145.114 33.1213i −0.0296151 0.00675945i
\(71\) −2552.49 1001.78i −0.506346 0.198726i 0.0983962 0.995147i \(-0.468629\pi\)
−0.604743 + 0.796421i \(0.706724\pi\)
\(72\) 2946.51 220.811i 0.568386 0.0425947i
\(73\) 1944.60 + 2095.78i 0.364909 + 0.393278i 0.888640 0.458605i \(-0.151651\pi\)
−0.523731 + 0.851884i \(0.675460\pi\)
\(74\) −2158.81 + 1471.85i −0.394231 + 0.268782i
\(75\) −2506.38 1998.77i −0.445578 0.355337i
\(76\) 772.282 832.322i 0.133705 0.144100i
\(77\) 1028.74 6825.23i 0.173509 1.15116i
\(78\) −150.619 659.906i −0.0247566 0.108466i
\(79\) 4044.45 + 7005.19i 0.648045 + 1.12245i 0.983589 + 0.180422i \(0.0577465\pi\)
−0.335544 + 0.942024i \(0.608920\pi\)
\(80\) 165.608 + 95.6137i 0.0258762 + 0.0149396i
\(81\) 755.752 + 233.119i 0.115189 + 0.0355310i
\(82\) 4254.01 3392.46i 0.632661 0.504530i
\(83\) −363.511 + 4850.72i −0.0527669 + 0.704125i 0.906605 + 0.421980i \(0.138665\pi\)
−0.959372 + 0.282145i \(0.908954\pi\)
\(84\) 2145.01 + 1032.98i 0.303998 + 0.146398i
\(85\) 290.209i 0.0401674i
\(86\) −3023.77 1864.59i −0.408838 0.252107i
\(87\) 2528.48 0.334057
\(88\) 4349.18 9031.17i 0.561620 1.16622i
\(89\) −7230.22 541.830i −0.912792 0.0684043i −0.389952 0.920835i \(-0.627508\pi\)
−0.522840 + 0.852431i \(0.675127\pi\)
\(90\) −134.620 168.808i −0.0166198 0.0208405i
\(91\) −753.034 + 2441.28i −0.0909352 + 0.294805i
\(92\) −2916.10 + 5050.84i −0.344530 + 0.596744i
\(93\) −3453.84 + 1994.08i −0.399334 + 0.230556i
\(94\) −3693.29 + 842.970i −0.417983 + 0.0954018i
\(95\) −188.687 28.4400i −0.0209072 0.00315125i
\(96\) 3967.00 + 3680.84i 0.430447 + 0.399397i
\(97\) 3952.37 4956.11i 0.420062 0.526741i −0.526105 0.850420i \(-0.676348\pi\)
0.946167 + 0.323678i \(0.104920\pi\)
\(98\) −1080.54 1584.86i −0.112509 0.165020i
\(99\) 7339.63 6810.18i 0.748865 0.694845i
\(100\) 570.958 + 7618.90i 0.0570958 + 0.761890i
\(101\) −5459.70 + 13911.1i −0.535213 + 1.36370i 0.366118 + 0.930568i \(0.380687\pi\)
−0.901331 + 0.433131i \(0.857409\pi\)
\(102\) 309.766 1357.17i 0.0297737 0.130447i
\(103\) −11342.1 + 3498.56i −1.06910 + 0.329773i −0.778870 0.627185i \(-0.784207\pi\)
−0.290227 + 0.956958i \(0.593731\pi\)
\(104\) −2090.01 + 3065.48i −0.193233 + 0.283421i
\(105\) −59.6338 395.645i −0.00540896 0.0358861i
\(106\) 1057.15 414.899i 0.0940856 0.0369259i
\(107\) −8792.38 + 4234.18i −0.767960 + 0.369830i −0.776487 0.630134i \(-0.783000\pi\)
0.00852664 + 0.999964i \(0.497286\pi\)
\(108\) 3732.56 + 7750.73i 0.320006 + 0.664500i
\(109\) −4865.72 12397.7i −0.409538 1.04349i −0.975684 0.219181i \(-0.929661\pi\)
0.566146 0.824305i \(-0.308434\pi\)
\(110\) −724.290 + 109.169i −0.0598587 + 0.00902224i
\(111\) −5803.11 3956.49i −0.470993 0.321118i
\(112\) −1020.48 3308.33i −0.0813524 0.263738i
\(113\) −10021.5 2287.34i −0.784831 0.179133i −0.188716 0.982032i \(-0.560433\pi\)
−0.596115 + 0.802899i \(0.703290\pi\)
\(114\) −852.045 334.403i −0.0655621 0.0257312i
\(115\) 977.419 73.2474i 0.0739069 0.00553856i
\(116\) −4098.77 4417.42i −0.304605 0.328287i
\(117\) −3061.98 + 2087.63i −0.223682 + 0.152504i
\(118\) 975.119 + 777.631i 0.0700315 + 0.0558483i
\(119\) −3573.76 + 3851.59i −0.252366 + 0.271986i
\(120\) 86.6028 574.572i 0.00601408 0.0399008i
\(121\) −4300.30 18840.8i −0.293716 1.28685i
\(122\) 4851.38 + 8402.84i 0.325946 + 0.564555i
\(123\) 12666.7 + 7313.11i 0.837245 + 0.483384i
\(124\) 9082.61 + 2801.61i 0.590700 + 0.182207i
\(125\) 2014.70 1606.67i 0.128941 0.102827i
\(126\) −292.127 + 3898.16i −0.0184005 + 0.245538i
\(127\) 260.014 + 125.216i 0.0161209 + 0.00776341i 0.441927 0.897051i \(-0.354295\pi\)
−0.425806 + 0.904815i \(0.640009\pi\)
\(128\) 15739.2i 0.960642i
\(129\) 1696.16 9397.50i 0.101927 0.564720i
\(130\) 271.112 0.0160421
\(131\) −4643.46 + 9642.24i −0.270582 + 0.561869i −0.991340 0.131317i \(-0.958079\pi\)
0.720758 + 0.693186i \(0.243794\pi\)
\(132\) 11683.1 + 875.526i 0.670516 + 0.0502483i
\(133\) 2153.99 + 2701.02i 0.121770 + 0.152695i
\(134\) 375.362 1216.89i 0.0209045 0.0677708i
\(135\) 722.881 1252.07i 0.0396642 0.0687005i
\(136\) −6608.09 + 3815.18i −0.357271 + 0.206271i
\(137\) 30948.2 7063.73i 1.64890 0.376351i 0.705683 0.708527i \(-0.250640\pi\)
0.943217 + 0.332177i \(0.107783\pi\)
\(138\) 4649.11 + 700.741i 0.244125 + 0.0367959i
\(139\) 16661.9 + 15460.0i 0.862374 + 0.800166i 0.981249 0.192743i \(-0.0617385\pi\)
−0.118876 + 0.992909i \(0.537929\pi\)
\(140\) −594.549 + 745.541i −0.0303341 + 0.0380378i
\(141\) −5736.45 8413.83i −0.288539 0.423210i
\(142\) 3861.88 3583.30i 0.191523 0.177708i
\(143\) 939.513 + 12536.9i 0.0459442 + 0.613083i
\(144\) 1834.79 4674.98i 0.0884835 0.225452i
\(145\) −225.356 + 987.349i −0.0107185 + 0.0469607i
\(146\) −5248.86 + 1619.06i −0.246240 + 0.0759551i
\(147\) 2904.60 4260.27i 0.134416 0.197152i
\(148\) 2494.82 + 16552.1i 0.113898 + 0.755664i
\(149\) 22599.5 8869.67i 1.01795 0.399517i 0.203083 0.979162i \(-0.434904\pi\)
0.814869 + 0.579645i \(0.196809\pi\)
\(150\) 5549.23 2672.37i 0.246633 0.118772i
\(151\) −17099.8 35508.2i −0.749960 1.55731i −0.828238 0.560377i \(-0.810656\pi\)
0.0782772 0.996932i \(-0.475058\pi\)
\(152\) 1832.96 + 4670.31i 0.0793352 + 0.202143i
\(153\) −7536.54 + 1135.95i −0.321951 + 0.0485262i
\(154\) 10957.0 + 7470.34i 0.462008 + 0.314992i
\(155\) −470.839 1526.42i −0.0195979 0.0635347i
\(156\) −4227.70 964.944i −0.173722 0.0396509i
\(157\) 4198.03 + 1647.60i 0.170312 + 0.0668426i 0.448965 0.893549i \(-0.351793\pi\)
−0.278653 + 0.960392i \(0.589888\pi\)
\(158\) −15497.6 + 1161.38i −0.620796 + 0.0465223i
\(159\) 2076.39 + 2237.82i 0.0821326 + 0.0885179i
\(160\) −1790.90 + 1221.02i −0.0699572 + 0.0476960i
\(161\) −13874.1 11064.2i −0.535246 0.426844i
\(162\) −1033.53 + 1113.88i −0.0393817 + 0.0424434i
\(163\) −2660.34 + 17650.2i −0.100129 + 0.664315i 0.881310 + 0.472539i \(0.156663\pi\)
−0.981439 + 0.191775i \(0.938576\pi\)
\(164\) −7756.72 33984.4i −0.288397 1.26355i
\(165\) −984.481 1705.17i −0.0361609 0.0626325i
\(166\) −8093.62 4672.85i −0.293715 0.169577i
\(167\) 38195.2 + 11781.7i 1.36954 + 0.422448i 0.890356 0.455265i \(-0.150455\pi\)
0.479187 + 0.877713i \(0.340932\pi\)
\(168\) −8224.90 + 6559.14i −0.291415 + 0.232396i
\(169\) −1786.62 + 23840.8i −0.0625546 + 0.834733i
\(170\) 502.355 + 241.922i 0.0173825 + 0.00837099i
\(171\) 5011.41i 0.171383i
\(172\) −19167.6 + 12270.4i −0.647905 + 0.414766i
\(173\) −4944.29 −0.165201 −0.0826003 0.996583i \(-0.526322\pi\)
−0.0826003 + 0.996583i \(0.526322\pi\)
\(174\) −2107.77 + 4376.82i −0.0696184 + 0.144564i
\(175\) −23182.0 1737.25i −0.756963 0.0567265i
\(176\) −10622.5 13320.2i −0.342928 0.430018i
\(177\) −988.218 + 3203.72i −0.0315432 + 0.102261i
\(178\) 6965.11 12063.9i 0.219830 0.380758i
\(179\) 9034.58 5216.12i 0.281969 0.162795i −0.352345 0.935870i \(-0.614616\pi\)
0.634315 + 0.773075i \(0.281282\pi\)
\(180\) −1348.58 + 307.803i −0.0416227 + 0.00950011i
\(181\) −28863.1 4350.42i −0.881021 0.132793i −0.307075 0.951685i \(-0.599350\pi\)
−0.573946 + 0.818893i \(0.694588\pi\)
\(182\) −3598.14 3338.59i −0.108626 0.100791i
\(183\) −16261.9 + 20391.8i −0.485589 + 0.608910i
\(184\) −14517.3 21293.0i −0.428796 0.628928i
\(185\) 2062.19 1913.43i 0.0602539 0.0559075i
\(186\) −572.608 7640.92i −0.0165513 0.220861i
\(187\) −9446.22 + 24068.6i −0.270131 + 0.688284i
\(188\) −5400.50 + 23661.1i −0.152798 + 0.669453i
\(189\) −25012.4 + 7715.30i −0.700215 + 0.215988i
\(190\) 206.522 302.912i 0.00572082 0.00839091i
\(191\) 1255.34 + 8328.62i 0.0344107 + 0.228300i 0.999425 0.0338957i \(-0.0107914\pi\)
−0.965015 + 0.262196i \(0.915553\pi\)
\(192\) −2567.66 + 1007.73i −0.0696522 + 0.0273365i
\(193\) 46708.9 22493.8i 1.25396 0.603877i 0.315392 0.948961i \(-0.397864\pi\)
0.938572 + 0.345084i \(0.112150\pi\)
\(194\) 5284.35 + 10973.1i 0.140407 + 0.291557i
\(195\) 266.253 + 678.400i 0.00700204 + 0.0178409i
\(196\) −12151.5 + 1831.54i −0.316312 + 0.0476764i
\(197\) 10968.3 + 7478.04i 0.282622 + 0.192688i 0.696331 0.717721i \(-0.254815\pi\)
−0.413709 + 0.910409i \(0.635767\pi\)
\(198\) 5670.10 + 18382.0i 0.144631 + 0.468881i
\(199\) 71242.1 + 16260.5i 1.79900 + 0.410609i 0.985321 0.170710i \(-0.0546061\pi\)
0.813676 + 0.581319i \(0.197463\pi\)
\(200\) −31426.6 12334.0i −0.785664 0.308351i
\(201\) 3413.65 255.818i 0.0844943 0.00633197i
\(202\) −19529.0 21047.3i −0.478605 0.515813i
\(203\) 15149.5 10328.8i 0.367626 0.250643i
\(204\) −6972.64 5560.49i −0.167547 0.133614i
\(205\) −3984.65 + 4294.43i −0.0948162 + 0.102188i
\(206\) 3398.82 22549.7i 0.0800927 0.531381i
\(207\) −5728.05 25096.2i −0.133680 0.585690i
\(208\) 3153.02 + 5461.19i 0.0728786 + 0.126229i
\(209\) 14723.1 + 8500.40i 0.337060 + 0.194602i
\(210\) 734.577 + 226.587i 0.0166571 + 0.00513802i
\(211\) −57877.8 + 46156.0i −1.30001 + 1.03672i −0.303537 + 0.952820i \(0.598167\pi\)
−0.996474 + 0.0839039i \(0.973261\pi\)
\(212\) 543.702 7255.21i 0.0120973 0.161428i
\(213\) 12759.1 + 6144.46i 0.281230 + 0.135433i
\(214\) 18749.4i 0.409410i
\(215\) 3518.47 + 1499.91i 0.0761162 + 0.0324480i
\(216\) −38012.9 −0.814748
\(217\) −12548.1 + 26056.4i −0.266477 + 0.553345i
\(218\) 25516.6 + 1912.21i 0.536920 + 0.0402366i
\(219\) −9206.13 11544.1i −0.191950 0.240698i
\(220\) −1383.16 + 4484.11i −0.0285778 + 0.0926469i
\(221\) 4785.07 8287.98i 0.0979723 0.169693i
\(222\) 11686.3 6747.07i 0.237121 0.136902i
\(223\) 67274.5 15355.0i 1.35282 0.308773i 0.516160 0.856492i \(-0.327361\pi\)
0.836662 + 0.547720i \(0.184504\pi\)
\(224\) 38804.6 + 5848.86i 0.773370 + 0.116567i
\(225\) −24719.9 22936.7i −0.488293 0.453070i
\(226\) 12313.5 15440.6i 0.241081 0.302306i
\(227\) 17527.5 + 25708.1i 0.340148 + 0.498906i 0.957757 0.287580i \(-0.0928507\pi\)
−0.617608 + 0.786486i \(0.711898\pi\)
\(228\) −4298.61 + 3988.53i −0.0826911 + 0.0767261i
\(229\) 4748.20 + 63360.3i 0.0905437 + 1.20822i 0.838661 + 0.544654i \(0.183339\pi\)
−0.748117 + 0.663567i \(0.769042\pi\)
\(230\) −687.995 + 1752.98i −0.0130056 + 0.0331377i
\(231\) −7932.37 + 34754.0i −0.148655 + 0.651299i
\(232\) 25444.6 7848.63i 0.472738 0.145820i
\(233\) 56355.7 82658.6i 1.03807 1.52257i 0.197912 0.980220i \(-0.436584\pi\)
0.840155 0.542346i \(-0.182464\pi\)
\(234\) −1061.20 7040.60i −0.0193805 0.128581i
\(235\) 3796.80 1490.13i 0.0687515 0.0269830i
\(236\) 7199.06 3466.89i 0.129256 0.0622466i
\(237\) −18125.9 37638.8i −0.322703 0.670099i
\(238\) −3688.03 9396.94i −0.0651089 0.165895i
\(239\) 36781.5 5543.92i 0.643923 0.0970558i 0.181041 0.983476i \(-0.442053\pi\)
0.462882 + 0.886420i \(0.346815\pi\)
\(240\) −816.004 556.342i −0.0141667 0.00965872i
\(241\) −23051.7 74731.8i −0.396889 1.28668i −0.905008 0.425395i \(-0.860135\pi\)
0.508119 0.861287i \(-0.330341\pi\)
\(242\) 36198.5 + 8262.06i 0.618101 + 0.141078i
\(243\) −56500.6 22174.8i −0.956842 0.375533i
\(244\) 61987.1 4645.29i 1.04117 0.0780249i
\(245\) 1404.72 + 1513.93i 0.0234022 + 0.0252216i
\(246\) −23218.2 + 15829.9i −0.383670 + 0.261582i
\(247\) −4919.72 3923.35i −0.0806393 0.0643077i
\(248\) −28567.0 + 30787.9i −0.464473 + 0.500583i
\(249\) 3744.28 24841.7i 0.0603906 0.400666i
\(250\) 1101.69 + 4826.80i 0.0176270 + 0.0772288i
\(251\) 34411.5 + 59602.5i 0.546206 + 0.946056i 0.998530 + 0.0542025i \(0.0172616\pi\)
−0.452324 + 0.891854i \(0.649405\pi\)
\(252\) 21688.4 + 12521.8i 0.341528 + 0.197182i
\(253\) −83446.8 25739.9i −1.30367 0.402130i
\(254\) −433.501 + 345.705i −0.00671928 + 0.00535845i
\(255\) −112.007 + 1494.62i −0.00172252 + 0.0229854i
\(256\) 34943.8 + 16828.0i 0.533199 + 0.256775i
\(257\) 52980.2i 0.802135i −0.916049 0.401067i \(-0.868639\pi\)
0.916049 0.401067i \(-0.131361\pi\)
\(258\) 14853.2 + 10769.9i 0.223142 + 0.161798i
\(259\) −50931.8 −0.759258
\(260\) 753.605 1564.88i 0.0111480 0.0231491i
\(261\) 26522.9 + 1987.62i 0.389350 + 0.0291777i
\(262\) −12820.0 16075.7i −0.186760 0.234190i
\(263\) −2495.64 + 8090.68i −0.0360804 + 0.116970i −0.971822 0.235718i \(-0.924256\pi\)
0.935741 + 0.352687i \(0.114732\pi\)
\(264\) −25884.6 + 44833.4i −0.371393 + 0.643271i
\(265\) −1058.91 + 611.364i −0.0150789 + 0.00870578i
\(266\) −6471.10 + 1476.99i −0.0914565 + 0.0208743i
\(267\) 37027.7 + 5581.03i 0.519403 + 0.0782874i
\(268\) −5980.61 5549.19i −0.0832675 0.0772610i
\(269\) 20240.6 25380.9i 0.279717 0.350754i −0.622049 0.782978i \(-0.713700\pi\)
0.901766 + 0.432224i \(0.142271\pi\)
\(270\) 1564.74 + 2295.05i 0.0214642 + 0.0314822i
\(271\) −36506.8 + 33873.3i −0.497090 + 0.461232i −0.888429 0.459015i \(-0.848203\pi\)
0.391339 + 0.920247i \(0.372012\pi\)
\(272\) 969.181 + 12932.8i 0.0130999 + 0.174806i
\(273\) 4820.46 12282.3i 0.0646790 0.164799i
\(274\) −13571.4 + 59460.1i −0.180769 + 0.791999i
\(275\) −109316. + 33719.6i −1.44550 + 0.445879i
\(276\) 16967.8 24887.2i 0.222744 0.326706i
\(277\) 6046.87 + 40118.4i 0.0788081 + 0.522858i 0.993050 + 0.117690i \(0.0375489\pi\)
−0.914242 + 0.405168i \(0.867213\pi\)
\(278\) −40651.0 + 15954.3i −0.525995 + 0.206438i
\(279\) −37797.2 + 18202.2i −0.485569 + 0.233838i
\(280\) −1828.22 3796.35i −0.0233192 0.0484228i
\(281\) 32911.4 + 83856.9i 0.416806 + 1.06200i 0.972970 + 0.230932i \(0.0741775\pi\)
−0.556164 + 0.831073i \(0.687727\pi\)
\(282\) 19346.4 2916.00i 0.243278 0.0366682i
\(283\) −91380.7 62302.3i −1.14099 0.777914i −0.163012 0.986624i \(-0.552121\pi\)
−0.977977 + 0.208710i \(0.933073\pi\)
\(284\) −9948.26 32251.5i −0.123342 0.399864i
\(285\) 960.793 + 219.295i 0.0118288 + 0.00269984i
\(286\) −22484.7 8824.61i −0.274888 0.107886i
\(287\) 105767. 7926.13i 1.28406 0.0962271i
\(288\) 38719.1 + 41729.2i 0.466810 + 0.503101i
\(289\) −52746.2 + 35961.8i −0.631532 + 0.430571i
\(290\) −1521.25 1213.16i −0.0180886 0.0144252i
\(291\) −22268.1 + 23999.3i −0.262965 + 0.283409i
\(292\) −5244.84 + 34797.3i −0.0615130 + 0.408112i
\(293\) −12808.4 56117.2i −0.149197 0.653674i −0.993109 0.117193i \(-0.962610\pi\)
0.843912 0.536481i \(-0.180247\pi\)
\(294\) 4953.26 + 8579.30i 0.0573055 + 0.0992561i
\(295\) −1162.95 671.429i −0.0133634 0.00771536i
\(296\) −70679.3 21801.7i −0.806694 0.248832i
\(297\) −100707. + 80311.0i −1.14168 + 0.910462i
\(298\) −3485.74 + 46513.9i −0.0392520 + 0.523782i
\(299\) 29121.5 + 14024.2i 0.325740 + 0.156868i
\(300\) 39458.9i 0.438432i
\(301\) −28225.9 63234.4i −0.311540 0.697944i
\(302\) 75719.7 0.830223
\(303\) 33487.4 69537.2i 0.364750 0.757412i
\(304\) 8503.60 + 637.257i 0.0920144 + 0.00689552i
\(305\) −6513.44 8167.60i −0.0700182 0.0878000i
\(306\) 4316.20 13992.8i 0.0460955 0.149438i
\(307\) 50860.7 88093.4i 0.539642 0.934688i −0.459281 0.888291i \(-0.651893\pi\)
0.998923 0.0463966i \(-0.0147738\pi\)
\(308\) 73576.3 42479.3i 0.775597 0.447791i
\(309\) 59763.7 13640.7i 0.625922 0.142863i
\(310\) 3034.75 + 457.415i 0.0315791 + 0.00475978i
\(311\) −133207. 123598.i −1.37723 1.27789i −0.921827 0.387603i \(-0.873303\pi\)
−0.455407 0.890283i \(-0.650506\pi\)
\(312\) 11947.0 14981.1i 0.122730 0.153898i
\(313\) 13750.0 + 20167.5i 0.140350 + 0.205856i 0.889978 0.456004i \(-0.150720\pi\)
−0.749628 + 0.661860i \(0.769767\pi\)
\(314\) −6351.54 + 5893.37i −0.0644199 + 0.0597729i
\(315\) −314.526 4197.06i −0.00316983 0.0422984i
\(316\) −36374.7 + 92681.3i −0.364272 + 0.928149i
\(317\) −36726.5 + 160909.i −0.365478 + 1.60126i 0.373564 + 0.927604i \(0.378136\pi\)
−0.739042 + 0.673659i \(0.764722\pi\)
\(318\) −5604.60 + 1728.79i −0.0554230 + 0.0170957i
\(319\) 50827.9 74550.8i 0.499483 0.732607i
\(320\) −164.663 1092.46i −0.00160803 0.0106686i
\(321\) 46916.3 18413.3i 0.455317 0.178699i
\(322\) 30717.9 14793.0i 0.296265 0.142674i
\(323\) −5615.05 11659.8i −0.0538206 0.111760i
\(324\) 3556.53 + 9061.88i 0.0338794 + 0.0863233i
\(325\) 41869.8 6310.86i 0.396401 0.0597478i
\(326\) −28335.0 19318.5i −0.266617 0.181776i
\(327\) 20274.4 + 65727.9i 0.189606 + 0.614687i
\(328\) 150168. + 34274.9i 1.39582 + 0.318587i
\(329\) −68740.5 26978.7i −0.635069 0.249246i
\(330\) 3772.34 282.698i 0.0346404 0.00259594i
\(331\) −90674.9 97724.3i −0.827621 0.891963i 0.167968 0.985792i \(-0.446280\pi\)
−0.995588 + 0.0938297i \(0.970089\pi\)
\(332\) −49469.7 + 33727.9i −0.448811 + 0.305994i
\(333\) −57762.6 46064.1i −0.520904 0.415407i
\(334\) −52234.1 + 56295.0i −0.468232 + 0.504634i
\(335\) −204.354 + 1355.80i −0.00182093 + 0.0120811i
\(336\) 3978.80 + 17432.3i 0.0352431 + 0.154410i
\(337\) 33338.1 + 57743.3i 0.293550 + 0.508443i 0.974646 0.223751i \(-0.0718301\pi\)
−0.681097 + 0.732193i \(0.738497\pi\)
\(338\) −39779.3 22966.6i −0.348196 0.201031i
\(339\) 50729.6 + 15648.0i 0.441430 + 0.136163i
\(340\) 2792.78 2227.17i 0.0241590 0.0192661i
\(341\) −10635.4 + 141920.i −0.0914632 + 1.22049i
\(342\) −8674.80 4177.56i −0.0741664 0.0357167i
\(343\) 127312.i 1.08214i
\(344\) −12101.8 99834.2i −0.102267 0.843650i
\(345\) −5062.14 −0.0425300
\(346\) 4121.61 8558.62i 0.0344283 0.0714910i
\(347\) 195312. + 14636.6i 1.62207 + 0.121557i 0.854515 0.519428i \(-0.173855\pi\)
0.767554 + 0.640985i \(0.221474\pi\)
\(348\) 19404.4 + 24332.4i 0.160229 + 0.200921i
\(349\) −44324.8 + 143698.i −0.363912 + 1.17977i 0.569811 + 0.821776i \(0.307016\pi\)
−0.933723 + 0.357997i \(0.883460\pi\)
\(350\) 22332.0 38680.1i 0.182302 0.315756i
\(351\) 41289.0 23838.2i 0.335135 0.193490i
\(352\) 188273. 42972.1i 1.51951 0.346818i
\(353\) 182983. + 27580.2i 1.46846 + 0.221334i 0.834060 0.551673i \(-0.186010\pi\)
0.634397 + 0.773007i \(0.281249\pi\)
\(354\) −4721.89 4381.27i −0.0376799 0.0349618i
\(355\) −3536.54 + 4434.68i −0.0280622 + 0.0351889i
\(356\) −50273.0 73737.0i −0.396675 0.581816i
\(357\) 19892.0 18457.0i 0.156078 0.144819i
\(358\) 1497.83 + 19987.2i 0.0116868 + 0.155950i
\(359\) 16051.6 40898.8i 0.124546 0.317338i −0.854978 0.518663i \(-0.826430\pi\)
0.979524 + 0.201326i \(0.0645250\pi\)
\(360\) 1360.10 5959.00i 0.0104946 0.0459799i
\(361\) 116400. 35904.7i 0.893179 0.275509i
\(362\) 31591.2 46335.8i 0.241074 0.353590i
\(363\) 14875.6 + 98693.0i 0.112891 + 0.748985i
\(364\) −29272.2 + 11488.5i −0.220929 + 0.0867083i
\(365\) 5328.40 2566.02i 0.0399955 0.0192608i
\(366\) −21742.3 45148.4i −0.162309 0.337039i
\(367\) −15690.4 39978.5i −0.116494 0.296821i 0.860720 0.509078i \(-0.170014\pi\)
−0.977214 + 0.212258i \(0.931918\pi\)
\(368\) −43312.9 + 6528.37i −0.319832 + 0.0482069i
\(369\) 127121. + 86669.3i 0.933605 + 0.636521i
\(370\) 1593.11 + 5164.74i 0.0116370 + 0.0377263i
\(371\) 21582.3 + 4926.01i 0.156801 + 0.0357888i
\(372\) −45695.6 17934.2i −0.330209 0.129597i
\(373\) −190264. + 14258.3i −1.36753 + 0.102483i −0.738163 0.674622i \(-0.764306\pi\)
−0.629371 + 0.777105i \(0.716687\pi\)
\(374\) −33788.5 36415.4i −0.241560 0.260340i
\(375\) −10996.1 + 7497.02i −0.0781945 + 0.0533121i
\(376\) −83844.5 66863.7i −0.593060 0.472950i
\(377\) −22715.6 + 24481.6i −0.159824 + 0.172249i
\(378\) 7495.33 49728.3i 0.0524575 0.348033i
\(379\) −39379.9 172535.i −0.274155 1.20115i −0.905057 0.425290i \(-0.860172\pi\)
0.630902 0.775862i \(-0.282685\pi\)
\(380\) −1174.36 2034.06i −0.00813271 0.0140863i
\(381\) −1290.79 745.236i −0.00889210 0.00513386i
\(382\) −15463.4 4769.83i −0.105969 0.0326871i
\(383\) −168246. + 134172.i −1.14696 + 0.914667i −0.997253 0.0740645i \(-0.976403\pi\)
−0.149702 + 0.988731i \(0.547831\pi\)
\(384\) −6074.55 + 81059.2i −0.0411957 + 0.549718i
\(385\) −12864.1 6195.04i −0.0867879 0.0417949i
\(386\) 99604.7i 0.668506i
\(387\) 25179.5 97243.4i 0.168122 0.649289i
\(388\) 78026.1 0.518294
\(389\) −50363.7 + 104581.i −0.332827 + 0.691123i −0.998479 0.0551401i \(-0.982439\pi\)
0.665652 + 0.746263i \(0.268154\pi\)
\(390\) −1396.27 104.636i −0.00917994 0.000687942i
\(391\) 41446.3 + 51972.0i 0.271102 + 0.339951i
\(392\) 16005.4 51888.1i 0.104158 0.337673i
\(393\) 27636.0 47866.9i 0.178933 0.309921i
\(394\) −22087.8 + 12752.4i −0.142286 + 0.0821486i
\(395\) 16313.1 3723.37i 0.104555 0.0238639i
\(396\) 121863. + 18368.0i 0.777111 + 0.117131i
\(397\) 65441.3 + 60720.6i 0.415213 + 0.385261i 0.859932 0.510409i \(-0.170506\pi\)
−0.444719 + 0.895670i \(0.646696\pi\)
\(398\) −87535.3 + 109766.i −0.552608 + 0.692949i
\(399\) −10051.0 14742.0i −0.0631337 0.0926002i
\(400\) −42063.5 + 39029.2i −0.262897 + 0.243933i
\(401\) 6289.09 + 83922.1i 0.0391110 + 0.521900i 0.982011 + 0.188824i \(0.0604676\pi\)
−0.942900 + 0.333076i \(0.891913\pi\)
\(402\) −2402.83 + 6122.32i −0.0148687 + 0.0378847i
\(403\) 11721.6 51355.9i 0.0721736 0.316213i
\(404\) −175771. + 54218.1i −1.07692 + 0.332186i
\(405\) 921.609 1351.75i 0.00561871 0.00824113i
\(406\) 5250.40 + 34834.1i 0.0318523 + 0.211326i
\(407\) −233310. + 91567.5i −1.40846 + 0.552780i
\(408\) 35505.2 17098.4i 0.213290 0.102715i
\(409\) −100031. 207717.i −0.597984 1.24173i −0.951888 0.306445i \(-0.900860\pi\)
0.353904 0.935282i \(-0.384854\pi\)
\(410\) −4112.06 10477.4i −0.0244620 0.0623282i
\(411\) −162115. + 24434.8i −0.959706 + 0.144652i
\(412\) −120711. 82299.1i −0.711134 0.484843i
\(413\) 7166.16 + 23232.1i 0.0420132 + 0.136204i
\(414\) 48216.8 + 11005.2i 0.281318 + 0.0642090i
\(415\) 9366.74 + 3676.17i 0.0543866 + 0.0213452i
\(416\) −71278.3 + 5341.57i −0.411880 + 0.0308661i
\(417\) −79844.7 86052.2i −0.459171 0.494868i
\(418\) −26987.6 + 18399.9i −0.154459 + 0.105308i
\(419\) −37157.6 29632.2i −0.211650 0.168786i 0.511927 0.859029i \(-0.328932\pi\)
−0.723577 + 0.690244i \(0.757503\pi\)
\(420\) 3349.77 3610.19i 0.0189896 0.0204659i
\(421\) −39496.3 + 262041.i −0.222839 + 1.47844i 0.545343 + 0.838213i \(0.316399\pi\)
−0.768183 + 0.640231i \(0.778839\pi\)
\(422\) −31649.0 138663.i −0.177719 0.778639i
\(423\) −53559.5 92767.7i −0.299334 0.518461i
\(424\) 27841.6 + 16074.4i 0.154868 + 0.0894133i
\(425\) 83213.8 + 25668.1i 0.460699 + 0.142107i
\(426\) −21272.3 + 16964.1i −0.117218 + 0.0934783i
\(427\) −14134.2 + 188608.i −0.0775203 + 1.03444i
\(428\) −108223. 52117.3i −0.590787 0.284508i
\(429\) 64929.8i 0.352801i
\(430\) −5529.40 + 4840.17i −0.0299048 + 0.0261772i
\(431\) −124192. −0.668556 −0.334278 0.942474i \(-0.608492\pi\)
−0.334278 + 0.942474i \(0.608492\pi\)
\(432\) −28032.9 + 58211.0i −0.150211 + 0.311916i
\(433\) 342425. + 25661.2i 1.82637 + 0.136868i 0.943210 0.332198i \(-0.107790\pi\)
0.883163 + 0.469066i \(0.155409\pi\)
\(434\) −34643.7 43441.9i −0.183927 0.230637i
\(435\) 1541.69 4998.03i 0.00814738 0.0264132i
\(436\) 81965.5 141968.i 0.431179 0.746824i
\(437\) 37852.7 21854.2i 0.198214 0.114439i
\(438\) 27657.3 6312.61i 0.144166 0.0329049i
\(439\) 270178. + 40722.8i 1.40191 + 0.211304i 0.806081 0.591805i \(-0.201584\pi\)
0.595832 + 0.803109i \(0.296822\pi\)
\(440\) −15200.0 14103.6i −0.0785126 0.0728491i
\(441\) 33817.3 42405.5i 0.173885 0.218045i
\(442\) 10357.7 + 15192.0i 0.0530174 + 0.0777623i
\(443\) 186953. 173467.i 0.952632 0.883914i −0.0407032 0.999171i \(-0.512960\pi\)
0.993336 + 0.115258i \(0.0367693\pi\)
\(444\) −6460.45 86208.7i −0.0327715 0.437306i
\(445\) −5479.51 + 13961.6i −0.0276708 + 0.0705041i
\(446\) −29501.1 + 129253.i −0.148309 + 0.649786i
\(447\) −119815. + 36957.9i −0.599645 + 0.184966i
\(448\) −11267.7 + 16526.7i −0.0561409 + 0.0823436i
\(449\) 29388.3 + 194979.i 0.145775 + 0.967151i 0.935407 + 0.353572i \(0.115033\pi\)
−0.789633 + 0.613580i \(0.789729\pi\)
\(450\) 60310.4 23670.1i 0.297829 0.116889i
\(451\) 470251. 226461.i 2.31194 1.11337i
\(452\) −54896.6 113994.i −0.268701 0.557963i
\(453\) 74362.5 + 189473.i 0.362375 + 0.923315i
\(454\) −59112.1 + 8909.72i −0.286791 + 0.0432267i
\(455\) 4366.51 + 2977.04i 0.0210917 + 0.0143801i
\(456\) −7637.53 24760.3i −0.0367302 0.119076i
\(457\) 126455. + 28862.5i 0.605484 + 0.138198i 0.514263 0.857633i \(-0.328066\pi\)
0.0912217 + 0.995831i \(0.470923\pi\)
\(458\) −113636. 44598.7i −0.541731 0.212614i
\(459\) 97777.8 7327.43i 0.464103 0.0347797i
\(460\) 8205.94 + 8843.90i 0.0387804 + 0.0417953i
\(461\) −116886. + 79691.7i −0.549999 + 0.374983i −0.806202 0.591640i \(-0.798481\pi\)
0.256204 + 0.966623i \(0.417528\pi\)
\(462\) −53547.0 42702.3i −0.250871 0.200063i
\(463\) −141508. + 152509.i −0.660112 + 0.711432i −0.971017 0.239009i \(-0.923177\pi\)
0.310905 + 0.950441i \(0.399368\pi\)
\(464\) 6745.37 44752.6i 0.0313307 0.207866i
\(465\) 1835.77 + 8043.04i 0.00849009 + 0.0371975i
\(466\) 96104.2 + 166457.i 0.442558 + 0.766533i
\(467\) 106560. + 61522.3i 0.488607 + 0.282097i 0.723996 0.689804i \(-0.242303\pi\)
−0.235389 + 0.971901i \(0.575637\pi\)
\(468\) −43588.6 13445.3i −0.199013 0.0613874i
\(469\) 19408.1 15477.4i 0.0882341 0.0703644i
\(470\) −585.616 + 7814.50i −0.00265104 + 0.0353757i
\(471\) −20984.6 10105.7i −0.0945931 0.0455536i
\(472\) 35307.3i 0.158482i
\(473\) −242984. 238921.i −1.08606 1.06790i
\(474\) 80263.2 0.357240
\(475\) 24843.6 51588.3i 0.110110 0.228646i
\(476\) −64491.4 4832.96i −0.284635 0.0213304i
\(477\) 20021.6 + 25106.2i 0.0879957 + 0.110343i
\(478\) −21064.9 + 68290.7i −0.0921942 + 0.298886i
\(479\) 40439.6 70043.4i 0.176253 0.305278i −0.764342 0.644812i \(-0.776936\pi\)
0.940594 + 0.339533i \(0.110269\pi\)
\(480\) 9694.70 5597.24i 0.0420777 0.0242936i
\(481\) 90442.7 20643.0i 0.390916 0.0892240i
\(482\) 148578. + 22394.5i 0.639528 + 0.0963933i
\(483\) 67183.6 + 62337.3i 0.287984 + 0.267210i
\(484\) 148310. 185974.i 0.633109 0.793893i
\(485\) −7386.84 10834.5i −0.0314033 0.0460602i
\(486\) 85484.4 79317.9i 0.361922 0.335814i
\(487\) −10010.8 133586.i −0.0422098 0.563250i −0.977715 0.209937i \(-0.932674\pi\)
0.935505 0.353313i \(-0.114945\pi\)
\(488\) −100349. + 255685.i −0.421380 + 1.07366i
\(489\) 20513.3 89874.5i 0.0857861 0.375854i
\(490\) −3791.61 + 1169.56i −0.0157918 + 0.00487113i
\(491\) 115606. 169562.i 0.479530 0.703342i −0.507897 0.861418i \(-0.669577\pi\)
0.987427 + 0.158076i \(0.0505292\pi\)
\(492\) 26832.0 + 178019.i 0.110847 + 0.735421i
\(493\) −63936.4 + 25093.2i −0.263060 + 0.103243i
\(494\) 10892.5 5245.55i 0.0446348 0.0214950i
\(495\) −8986.46 18660.6i −0.0366757 0.0761578i
\(496\) 26080.0 + 66450.7i 0.106009 + 0.270107i
\(497\) 101547. 15305.7i 0.411106 0.0619642i
\(498\) 39879.9 + 27189.7i 0.160804 + 0.109634i
\(499\) −74568.3 241744.i −0.299470 0.970857i −0.972826 0.231539i \(-0.925624\pi\)
0.673356 0.739319i \(-0.264852\pi\)
\(500\) 30923.0 + 7057.96i 0.123692 + 0.0282319i
\(501\) −192164. 75418.9i −0.765591 0.300472i
\(502\) −131858. + 9881.42i −0.523239 + 0.0392114i
\(503\) −203077. 218865.i −0.802648 0.865048i 0.190527 0.981682i \(-0.438980\pi\)
−0.993175 + 0.116633i \(0.962790\pi\)
\(504\) −91432.6 + 62337.7i −0.359948 + 0.245408i
\(505\) 24169.0 + 19274.2i 0.0947713 + 0.0755776i
\(506\) 114118. 122990.i 0.445712 0.480363i
\(507\) 18402.8 122094.i 0.0715925 0.474985i
\(508\) 790.441 + 3463.15i 0.00306297 + 0.0134197i
\(509\) 253919. + 439801.i 0.980076 + 1.69754i 0.662050 + 0.749460i \(0.269687\pi\)
0.318026 + 0.948082i \(0.396980\pi\)
\(510\) −2493.84 1439.82i −0.00958801 0.00553564i
\(511\) −102316. 31560.4i −0.391835 0.120865i
\(512\) 138627. 110551.i 0.528820 0.421720i
\(513\) 4817.94 64290.9i 0.0183074 0.244295i
\(514\) 91709.3 + 44164.9i 0.347126 + 0.167167i
\(515\) 24553.0i 0.0925741i
\(516\) 103452. 55796.9i 0.388544 0.209561i
\(517\) −363392. −1.35955
\(518\) 42457.3 88163.5i 0.158231 0.328571i
\(519\) 25463.9 + 1908.25i 0.0945344 + 0.00708438i
\(520\) 4785.17 + 6000.42i 0.0176966 + 0.0221909i
\(521\) 5256.27 17040.4i 0.0193643 0.0627776i −0.945375 0.325985i \(-0.894304\pi\)
0.964739 + 0.263207i \(0.0847803\pi\)
\(522\) −25550.4 + 44254.5i −0.0937684 + 0.162412i
\(523\) −371788. + 214652.i −1.35923 + 0.784750i −0.989520 0.144399i \(-0.953875\pi\)
−0.369707 + 0.929148i \(0.620542\pi\)
\(524\) −128426. + 29312.4i −0.467724 + 0.106755i
\(525\) 118721. + 17894.2i 0.430732 + 0.0649224i
\(526\) −11924.7 11064.5i −0.0430997 0.0399907i
\(527\) 67546.0 84700.0i 0.243208 0.304974i
\(528\) 49566.8 + 72701.1i 0.177796 + 0.260779i
\(529\) 40558.0 37632.3i 0.144932 0.134478i
\(530\) −175.556 2342.63i −0.000624976 0.00833973i
\(531\) −12884.5 + 32829.2i −0.0456960 + 0.116432i
\(532\) −9462.33 + 41457.2i −0.0334330 + 0.146479i
\(533\) −184604. + 56942.9i −0.649811 + 0.200440i
\(534\) −40527.5 + 59442.9i −0.142124 + 0.208458i
\(535\) 3008.72 + 19961.6i 0.0105117 + 0.0697408i
\(536\) 33558.2 13170.6i 0.116807 0.0458434i
\(537\) −48542.7 + 23376.9i −0.168335 + 0.0810660i
\(538\) 27061.8 + 56194.5i 0.0934960 + 0.194146i
\(539\) −67222.9 171281.i −0.231387 0.589566i
\(540\) 17596.7 2652.27i 0.0603453 0.00909558i
\(541\) 172515. + 117619.i 0.589430 + 0.401866i 0.820980 0.570957i \(-0.193428\pi\)
−0.231551 + 0.972823i \(0.574380\pi\)
\(542\) −28202.7 91430.8i −0.0960045 0.311239i
\(543\) 146971. + 33545.1i 0.498461 + 0.113770i
\(544\) −136841. 53706.2i −0.462401 0.181479i
\(545\) −27473.2 + 2058.83i −0.0924944 + 0.00693150i
\(546\) 17242.5 + 18583.0i 0.0578381 + 0.0623346i
\(547\) −413206. + 281719.i −1.38100 + 0.941547i −0.381141 + 0.924517i \(0.624469\pi\)
−0.999855 + 0.0170298i \(0.994579\pi\)
\(548\) 305484. + 243615.i 1.01725 + 0.811229i
\(549\) −186612. + 201120.i −0.619148 + 0.667283i
\(550\) 32758.2 217337.i 0.108292 0.718468i
\(551\) 10049.4 + 44029.1i 0.0331005 + 0.145023i
\(552\) 66548.4 + 115265.i 0.218404 + 0.378286i
\(553\) −262356. 151471.i −0.857907 0.495313i
\(554\) −74486.1 22975.9i −0.242692 0.0748606i
\(555\) −11359.1 + 9058.59i −0.0368772 + 0.0294086i
\(556\) −20907.3 + 278988.i −0.0676314 + 0.902478i
\(557\) −291054. 140164.i −0.938131 0.451780i −0.0986212 0.995125i \(-0.531443\pi\)
−0.839509 + 0.543345i \(0.817157\pi\)
\(558\) 80600.9i 0.258864i
\(559\) 75751.7 + 100849.i 0.242420 + 0.322737i
\(560\) −7161.77 −0.0228373
\(561\) 57938.9 120311.i 0.184096 0.382279i
\(562\) −172593. 12934.0i −0.546449 0.0409507i
\(563\) 247946. + 310915.i 0.782242 + 0.980900i 0.999988 + 0.00489502i \(0.00155814\pi\)
−0.217746 + 0.976005i \(0.569870\pi\)
\(564\) 36945.5 119774.i 0.116146 0.376535i
\(565\) −10631.8 + 18414.8i −0.0333050 + 0.0576859i
\(566\) 184022. 106245.i 0.574430 0.331647i
\(567\) −28877.4 + 6591.09i −0.0898240 + 0.0205017i
\(568\) 147471. + 22227.6i 0.457097 + 0.0688963i
\(569\) −4251.79 3945.09i −0.0131325 0.0121852i 0.673579 0.739115i \(-0.264756\pi\)
−0.686712 + 0.726930i \(0.740947\pi\)
\(570\) −1180.53 + 1480.34i −0.00363352 + 0.00455629i
\(571\) −74583.1 109393.i −0.228754 0.335520i 0.694652 0.719346i \(-0.255559\pi\)
−0.923405 + 0.383826i \(0.874606\pi\)
\(572\) −113437. + 105254.i −0.346706 + 0.321696i
\(573\) −3250.75 43378.2i −0.00990089 0.132118i
\(574\) −74448.2 + 189691.i −0.225959 + 0.575735i
\(575\) −65446.8 + 286741.i −0.197949 + 0.867270i
\(576\) −27726.1 + 8552.36i −0.0835686 + 0.0257775i
\(577\) 103024. 151108.i 0.309447 0.453876i −0.639738 0.768593i \(-0.720957\pi\)
0.949186 + 0.314717i \(0.101910\pi\)
\(578\) −18280.4 121282.i −0.0547179 0.363030i
\(579\) −249240. + 97819.4i −0.743465 + 0.291788i
\(580\) −11231.0 + 5408.58i −0.0333860 + 0.0160778i
\(581\) −79043.4 164135.i −0.234160 0.486239i
\(582\) −22980.2 58552.5i −0.0678433 0.172862i
\(583\) 107721. 16236.3i 0.316930 0.0477695i
\(584\) −128477. 87594.4i −0.376704 0.256833i
\(585\) 2259.62 + 7325.50i 0.00660272 + 0.0214055i
\(586\) 107817. + 24608.5i 0.313972 + 0.0716621i
\(587\) −25690.1 10082.6i −0.0745571 0.0292615i 0.327769 0.944758i \(-0.393703\pi\)
−0.402326 + 0.915496i \(0.631798\pi\)
\(588\) 63288.8 4742.84i 0.183051 0.0137178i
\(589\) −48450.6 52217.3i −0.139659 0.150516i
\(590\) 2131.70 1453.37i 0.00612381 0.00417514i
\(591\) −53602.2 42746.3i −0.153464 0.122384i
\(592\) −85509.0 + 92156.8i −0.243988 + 0.262956i
\(593\) 39703.1 263413.i 0.112905 0.749078i −0.858701 0.512476i \(-0.828728\pi\)
0.971607 0.236602i \(-0.0760337\pi\)
\(594\) −55068.9 241273.i −0.156075 0.683809i
\(595\) 5434.40 + 9412.66i 0.0153503 + 0.0265876i
\(596\) 258792. + 149414.i 0.728549 + 0.420628i
\(597\) −360632. 111240.i −1.01185 0.312114i
\(598\) −48552.0 + 38718.9i −0.135770 + 0.108273i
\(599\) −18087.8 + 241364.i −0.0504117 + 0.672697i 0.913562 + 0.406699i \(0.133320\pi\)
−0.963974 + 0.265997i \(0.914299\pi\)
\(600\) 157092. + 75651.3i 0.436365 + 0.210143i
\(601\) 224636.i 0.621915i −0.950424 0.310957i \(-0.899350\pi\)
0.950424 0.310957i \(-0.100650\pi\)
\(602\) 132989. + 3853.60i 0.366963 + 0.0106334i
\(603\) 36009.2 0.0990327
\(604\) 210477. 437060.i 0.576940 1.19803i
\(605\) −39864.6 2987.44i −0.108912 0.00816184i
\(606\) 92454.2 + 115934.i 0.251757 + 0.315693i
\(607\) 29571.7 95869.0i 0.0802599 0.260196i −0.906545 0.422109i \(-0.861290\pi\)
0.986805 + 0.161913i \(0.0517662\pi\)
\(608\) −48328.8 + 83707.9i −0.130737 + 0.226443i
\(609\) −82008.8 + 47347.8i −0.221119 + 0.127663i
\(610\) 19567.9 4466.24i 0.0525877 0.0120028i
\(611\) 133001. + 20046.7i 0.356265 + 0.0536983i
\(612\) −68769.6 63808.9i −0.183609 0.170364i
\(613\) 167988. 210651.i 0.447052 0.560585i −0.506335 0.862337i \(-0.669000\pi\)
0.953387 + 0.301752i \(0.0975714\pi\)
\(614\) 110093. + 161476.i 0.292026 + 0.428323i
\(615\) 22179.0 20579.1i 0.0586398 0.0544098i
\(616\) 28054.4 + 374360.i 0.0739331 + 0.986569i
\(617\) 149979. 382139.i 0.393966 1.00381i −0.586992 0.809592i \(-0.699688\pi\)
0.980959 0.194217i \(-0.0622166\pi\)
\(618\) −26207.5 + 114823.i −0.0686197 + 0.300643i
\(619\) −234673. + 72387.1i −0.612466 + 0.188921i −0.585442 0.810714i \(-0.699079\pi\)
−0.0270237 + 0.999635i \(0.508603\pi\)
\(620\) 11075.9 16245.3i 0.0288134 0.0422615i
\(621\) 49357.3 + 327464.i 0.127988 + 0.849143i
\(622\) 324993. 127551.i 0.840028 0.329687i
\(623\) 244652. 117818.i 0.630336 0.303554i
\(624\) −14130.8 29342.9i −0.0362909 0.0753588i
\(625\) 139787. + 356171.i 0.357854 + 0.911798i
\(626\) −46372.3 + 6989.49i −0.118334 + 0.0178360i
\(627\) −72545.7 49460.8i −0.184534 0.125813i
\(628\) 16361.7 + 53043.3i 0.0414867 + 0.134496i
\(629\) 186006. + 42454.6i 0.470138 + 0.107306i
\(630\) 7527.35 + 2954.27i 0.0189654 + 0.00744335i
\(631\) 580172. 43477.9i 1.45713 0.109197i 0.677540 0.735486i \(-0.263046\pi\)
0.779591 + 0.626289i \(0.215427\pi\)
\(632\) −299239. 322503.i −0.749177 0.807420i
\(633\) 315894. 215373.i 0.788376 0.537506i
\(634\) −247920. 197710.i −0.616785 0.491869i
\(635\) 406.052 437.620i 0.00100701 0.00108530i
\(636\) −5600.31 + 37155.6i −0.0138452 + 0.0918566i
\(637\) 15154.7 + 66397.2i 0.0373481 + 0.163633i
\(638\) 86677.6 + 150130.i 0.212944 + 0.368830i
\(639\) 129009. + 74483.2i 0.315949 + 0.182413i
\(640\) −31111.5 9596.63i −0.0759559 0.0234293i
\(641\) 500698. 399294.i 1.21860 0.971799i 0.218605 0.975813i \(-0.429849\pi\)
0.999992 + 0.00401444i \(0.00127784\pi\)
\(642\) −7236.34 + 96562.2i −0.0175569 + 0.234281i
\(643\) −594716. 286400.i −1.43843 0.692710i −0.457884 0.889012i \(-0.651393\pi\)
−0.980544 + 0.196302i \(0.937107\pi\)
\(644\) 218426.i 0.526662i
\(645\) −17541.8 9082.74i −0.0421652 0.0218322i
\(646\) 24863.9 0.0595806
\(647\) −267163. + 554770.i −0.638216 + 1.32527i 0.291351 + 0.956616i \(0.405895\pi\)
−0.929567 + 0.368653i \(0.879819\pi\)
\(648\) −42895.3 3214.56i −0.102155 0.00765545i
\(649\) 74594.7 + 93538.8i 0.177100 + 0.222077i
\(650\) −23979.0 + 77737.9i −0.0567550 + 0.183995i
\(651\) 74681.4 129352.i 0.176218 0.305219i
\(652\) −190270. + 109852.i −0.447584 + 0.258413i
\(653\) 323066. 73737.6i 0.757642 0.172927i 0.173785 0.984784i \(-0.444400\pi\)
0.583857 + 0.811857i \(0.301543\pi\)
\(654\) −130677. 19696.3i −0.305522 0.0460500i
\(655\) 16228.5 + 15057.9i 0.0378265 + 0.0350978i
\(656\) 163230. 204683.i 0.379307 0.475636i
\(657\) −87494.6 128331.i −0.202698 0.297304i
\(658\) 104003. 96500.8i 0.240212 0.222884i
\(659\) −5050.31 67391.8i −0.0116291 0.155180i −0.999995 0.00308649i \(-0.999018\pi\)
0.988366 0.152094i \(-0.0486015\pi\)
\(660\) 8854.16 22560.0i 0.0203264 0.0517907i
\(661\) 70296.6 307990.i 0.160891 0.704909i −0.828543 0.559925i \(-0.810830\pi\)
0.989434 0.144984i \(-0.0463131\pi\)
\(662\) 244750. 75495.2i 0.558478 0.172268i
\(663\) −27842.6 + 40837.6i −0.0633407 + 0.0929038i
\(664\) −39431.3 261610.i −0.0894345 0.593359i
\(665\) 6652.45 2610.90i 0.0150431 0.00590400i
\(666\) 127889. 61588.1i 0.288327 0.138851i
\(667\) −100651. 209003.i −0.226238 0.469788i
\(668\) 179744. + 457981.i 0.402812 + 1.02635i
\(669\) −352400. + 53115.8i −0.787380 + 0.118678i
\(670\) −2176.56 1483.95i −0.00484864 0.00330575i
\(671\) 274341. + 889393.i 0.609321 + 1.97537i
\(672\) −197593. 45099.2i −0.437555 0.0998690i
\(673\) 33464.8 + 13134.0i 0.0738853 + 0.0289978i 0.401996 0.915641i \(-0.368317\pi\)
−0.328111 + 0.944639i \(0.606412\pi\)
\(674\) −127745. + 9573.19i −0.281206 + 0.0210735i
\(675\) 295078. + 318018.i 0.647633 + 0.697982i
\(676\) −243139. + 165769.i −0.532061 + 0.362753i
\(677\) −288467. 230045.i −0.629389 0.501921i 0.256058 0.966661i \(-0.417576\pi\)
−0.885447 + 0.464740i \(0.846148\pi\)
\(678\) −69375.6 + 74769.1i −0.150920 + 0.162653i
\(679\) −35384.1 + 234758.i −0.0767482 + 0.509191i
\(680\) 3512.30 + 15388.4i 0.00759581 + 0.0332794i
\(681\) −80347.3 139166.i −0.173252 0.300081i
\(682\) −236799. 136716.i −0.509110 0.293935i
\(683\) 743163. + 229235.i 1.59310 + 0.491406i 0.959370 0.282150i \(-0.0910478\pi\)
0.633728 + 0.773556i \(0.281524\pi\)
\(684\) −48226.4 + 38459.3i −0.103080 + 0.0822032i
\(685\) 4907.21 65482.1i 0.0104581 0.139554i
\(686\) 220379. + 106129.i 0.468297 + 0.225520i
\(687\) 328148.i 0.695275i
\(688\) −161806. 55091.4i −0.341835 0.116388i
\(689\) −40321.5 −0.0849372
\(690\) 4219.85 8762.61i 0.00886337 0.0184050i
\(691\) 99206.6 + 7434.50i 0.207771 + 0.0155703i 0.178209 0.983993i \(-0.442970\pi\)
0.0295619 + 0.999563i \(0.490589\pi\)
\(692\) −37944.2 47580.5i −0.0792379 0.0993612i
\(693\) −110528. + 358322.i −0.230147 + 0.746118i
\(694\) −188150. + 325885.i −0.390648 + 0.676622i
\(695\) 40719.0 23509.1i 0.0842999 0.0486706i
\(696\) −134073. + 30601.3i −0.276773 + 0.0631715i
\(697\) −392873. 59216.1i −0.808699 0.121892i
\(698\) −211792. 196515.i −0.434710 0.403352i
\(699\) −322143. + 403954.i −0.659317 + 0.826757i
\(700\) −161189. 236420.i −0.328956 0.482490i
\(701\) −191444. + 177634.i −0.389589 + 0.361485i −0.850513 0.525954i \(-0.823708\pi\)
0.460924 + 0.887439i \(0.347518\pi\)
\(702\) 6845.25 + 91343.5i 0.0138904 + 0.185355i
\(703\) 45831.2 116776.i 0.0927366 0.236289i
\(704\) −21903.1 + 95963.6i −0.0441936 + 0.193625i
\(705\) −20129.3 + 6209.05i −0.0404995 + 0.0124924i
\(706\) −200278. + 293754.i −0.401814 + 0.589352i
\(707\) −83416.2 553431.i −0.166883 1.10720i
\(708\) −38414.4 + 15076.5i −0.0766350 + 0.0300770i
\(709\) −335002. + 161328.i −0.666430 + 0.320936i −0.736334 0.676618i \(-0.763445\pi\)
0.0699041 + 0.997554i \(0.477731\pi\)
\(710\) −4728.38 9818.59i −0.00937985 0.0194775i
\(711\) −160547. 409067.i −0.317588 0.809200i
\(712\) 389942. 58774.3i 0.769201 0.115938i
\(713\) 302316. + 206116.i 0.594679 + 0.405445i
\(714\) 15367.2 + 49819.2i 0.0301438 + 0.0977237i
\(715\) 25354.5 + 5787.00i 0.0495956 + 0.0113199i
\(716\) 119531. + 46912.4i 0.233160 + 0.0915085i
\(717\) −191570. + 14356.2i −0.372641 + 0.0279256i
\(718\) 57415.5 + 61879.2i 0.111373 + 0.120032i
\(719\) 433821. 295774.i 0.839175 0.572140i −0.0656894 0.997840i \(-0.520925\pi\)
0.904864 + 0.425701i \(0.139972\pi\)
\(720\) −8122.28 6477.30i −0.0156680 0.0124948i
\(721\) 302355. 325862.i 0.581631 0.626849i
\(722\) −34881.0 + 231420.i −0.0669136 + 0.443943i
\(723\) 89877.1 + 393777.i 0.171938 + 0.753311i
\(724\) −179640. 311146.i −0.342710 0.593590i
\(725\) −263178. 151946.i −0.500695 0.289076i
\(726\) −183239. 56521.8i −0.347652 0.107237i
\(727\) −773304. + 616689.i −1.46312 + 1.16680i −0.511602 + 0.859223i \(0.670948\pi\)
−0.951522 + 0.307580i \(0.900481\pi\)
\(728\) 10383.9 138563.i 0.0195928 0.261447i
\(729\) 224711. + 108215.i 0.422833 + 0.203626i
\(730\) 11362.6i 0.0213222i
\(731\) 50372.9 + 254463.i 0.0942675 + 0.476201i
\(732\) −321036. −0.599145
\(733\) −257089. + 533851.i −0.478493 + 0.993602i 0.512374 + 0.858762i \(0.328766\pi\)
−0.990867 + 0.134840i \(0.956948\pi\)
\(734\) 82282.9 + 6166.25i 0.152728 + 0.0114453i
\(735\) −6650.23 8339.12i −0.0123101 0.0154364i
\(736\) 146344. 474434.i 0.270158 0.875831i
\(737\) 61079.2 105792.i 0.112450 0.194768i
\(738\) −255995. + 147799.i −0.470022 + 0.271367i
\(739\) −76243.7 + 17402.1i −0.139609 + 0.0318649i −0.291755 0.956493i \(-0.594239\pi\)
0.152145 + 0.988358i \(0.451382\pi\)
\(740\) 34239.6 + 5160.78i 0.0625266 + 0.00942437i
\(741\) 23823.1 + 22104.6i 0.0433873 + 0.0402575i
\(742\) −26518.2 + 33252.8i −0.0481655 + 0.0603976i
\(743\) −567634. 832566.i −1.02823 1.50814i −0.851829 0.523821i \(-0.824506\pi\)
−0.176403 0.984318i \(-0.556446\pi\)
\(744\) 159007. 147537.i 0.287257 0.266535i
\(745\) −3753.01 50080.5i −0.00676188 0.0902311i
\(746\) 133925. 341234.i 0.240648 0.613162i
\(747\) 58804.1 257638.i 0.105382 0.461709i
\(748\) −304113. + 93806.6i −0.543541 + 0.167660i
\(749\) 205884. 301976.i 0.366994 0.538281i
\(750\) −3810.95 25284.0i −0.00677502 0.0449493i
\(751\) −63412.9 + 24887.7i −0.112434 + 0.0441271i −0.420891 0.907111i \(-0.638283\pi\)
0.308457 + 0.951238i \(0.400187\pi\)
\(752\) −164223. + 79085.9i −0.290402 + 0.139850i
\(753\) −154221. 320243.i −0.271991 0.564794i
\(754\) −23441.9 59729.1i −0.0412336 0.105061i
\(755\) −80615.1 + 12150.8i −0.141424 + 0.0213162i
\(756\)