Properties

Label 43.4.e.a.41.6
Level $43$
Weight $4$
Character 43.41
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 41.6
Character \(\chi\) \(=\) 43.41
Dual form 43.4.e.a.21.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.170046 - 0.0818897i) q^{2} +(0.966806 + 0.465589i) q^{3} +(-4.96571 + 6.22680i) q^{4} +(-3.57419 + 15.6596i) q^{5} +0.202528 q^{6} +29.7402 q^{7} +(-0.670469 + 2.93752i) q^{8} +(-16.1163 - 20.2092i) q^{9} +O(q^{10})\) \(q+(0.170046 - 0.0818897i) q^{2} +(0.966806 + 0.465589i) q^{3} +(-4.96571 + 6.22680i) q^{4} +(-3.57419 + 15.6596i) q^{5} +0.202528 q^{6} +29.7402 q^{7} +(-0.670469 + 2.93752i) q^{8} +(-16.1163 - 20.2092i) q^{9} +(0.674581 + 2.95553i) q^{10} +(7.64529 + 9.58689i) q^{11} +(-7.70001 + 3.70813i) q^{12} +(-8.30105 + 36.3693i) q^{13} +(5.05720 - 2.43542i) q^{14} +(-10.7465 + 13.4756i) q^{15} +(-14.0514 - 61.5631i) q^{16} +(-7.89957 - 34.6103i) q^{17} +(-4.39543 - 2.11673i) q^{18} +(59.7314 - 74.9009i) q^{19} +(-79.7606 - 100.017i) q^{20} +(28.7530 + 13.8467i) q^{21} +(2.08512 + 1.00414i) q^{22} +(76.9282 + 96.4649i) q^{23} +(-2.01589 + 2.52785i) q^{24} +(-119.826 - 57.7051i) q^{25} +(1.56671 + 6.86421i) q^{26} +(-12.6192 - 55.2885i) q^{27} +(-147.681 + 185.187i) q^{28} +(175.440 - 84.4876i) q^{29} +(-0.723875 + 3.17150i) q^{30} +(57.7065 - 27.7900i) q^{31} +(-22.4597 - 28.1635i) q^{32} +(2.92796 + 12.8282i) q^{33} +(-4.17751 - 5.23844i) q^{34} +(-106.297 + 465.719i) q^{35} +205.867 q^{36} +286.712 q^{37} +(4.02347 - 17.6280i) q^{38} +(-24.9586 + 31.2972i) q^{39} +(-43.6038 - 20.9985i) q^{40} +(-398.287 + 191.805i) q^{41} +6.02324 q^{42} +(-112.354 - 258.619i) q^{43} -97.6600 q^{44} +(374.070 - 180.142i) q^{45} +(20.9808 + 10.1038i) q^{46} +(-289.060 + 362.470i) q^{47} +(15.0782 - 66.0618i) q^{48} +541.482 q^{49} -25.1013 q^{50} +(8.47682 - 37.1394i) q^{51} +(-185.244 - 232.288i) q^{52} +(31.6509 + 138.672i) q^{53} +(-6.67341 - 8.36819i) q^{54} +(-177.452 + 85.4565i) q^{55} +(-19.9399 + 87.3625i) q^{56} +(92.6217 - 44.6043i) q^{57} +(22.9142 - 28.7335i) q^{58} +(-110.463 - 483.971i) q^{59} +(-30.5463 - 133.832i) q^{60} +(-130.605 - 62.8960i) q^{61} +(7.53704 - 9.45114i) q^{62} +(-479.302 - 601.026i) q^{63} +(449.018 + 216.236i) q^{64} +(-539.857 - 259.982i) q^{65} +(1.54839 + 1.94162i) q^{66} +(445.111 - 558.152i) q^{67} +(254.738 + 122.676i) q^{68} +(29.4616 + 129.080i) q^{69} +(20.0622 + 87.8982i) q^{70} +(-342.286 + 429.213i) q^{71} +(70.1703 - 33.7922i) q^{72} +(114.501 - 501.661i) q^{73} +(48.7542 - 23.4788i) q^{74} +(-88.9814 - 111.579i) q^{75} +(169.784 + 743.872i) q^{76} +(227.373 + 285.116i) q^{77} +(-1.68120 + 7.36580i) q^{78} -1074.57 q^{79} +1014.27 q^{80} +(-141.758 + 621.083i) q^{81} +(-52.0202 + 65.2312i) q^{82} +(-113.885 - 54.8440i) q^{83} +(-229.000 + 110.281i) q^{84} +570.216 q^{85} +(-40.2835 - 34.7764i) q^{86} +208.953 q^{87} +(-33.2876 + 16.0305i) q^{88} +(-69.6372 - 33.5355i) q^{89} +(48.8571 - 61.2649i) q^{90} +(-246.875 + 1081.63i) q^{91} -982.671 q^{92} +68.7297 q^{93} +(-19.4709 + 85.3074i) q^{94} +(959.423 + 1203.08i) q^{95} +(-8.60151 - 37.6857i) q^{96} +(-125.154 - 156.939i) q^{97} +(92.0767 - 44.3418i) q^{98} +(70.5295 - 309.010i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9} + O(q^{10}) \) \( 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9} - 61 q^{10} + 83 q^{11} + 33 q^{12} + 107 q^{13} - 299 q^{14} + 109 q^{15} + 41 q^{16} + 181 q^{17} - 414 q^{18} + 284 q^{19} - 363 q^{20} - 88 q^{21} + 421 q^{22} + 231 q^{23} - 937 q^{24} + 213 q^{25} + 139 q^{26} - 27 q^{27} + 29 q^{28} - 367 q^{29} + 1244 q^{30} - 319 q^{31} + 435 q^{32} - 2594 q^{33} - 583 q^{34} - 902 q^{35} + 1552 q^{36} + 1020 q^{37} + 1251 q^{38} - 1571 q^{39} + 1263 q^{40} + 293 q^{41} - 1830 q^{42} + 1661 q^{43} + 6512 q^{44} + 1019 q^{45} - 2786 q^{46} - 287 q^{47} - 95 q^{48} + 772 q^{49} - 282 q^{50} + 1524 q^{51} - 1511 q^{52} - 1505 q^{53} - 3489 q^{54} - 1735 q^{55} - 1237 q^{56} + 1055 q^{57} + 335 q^{58} + 571 q^{59} - 101 q^{60} - 339 q^{61} + 923 q^{62} - 702 q^{63} - 5163 q^{64} + 2463 q^{65} + 985 q^{66} - 241 q^{67} + 2904 q^{68} + 2711 q^{69} - 7698 q^{70} - 2431 q^{71} - 4340 q^{72} - 2157 q^{73} - 1294 q^{74} - 242 q^{75} - 4272 q^{76} - 3962 q^{77} - 2860 q^{78} + 1092 q^{79} + 11618 q^{80} + 12060 q^{81} + 4023 q^{82} - 2664 q^{83} + 3334 q^{84} - 3446 q^{85} + 10055 q^{86} + 11874 q^{87} + 9957 q^{88} - 5811 q^{89} - 1612 q^{90} - 760 q^{91} + 2120 q^{92} + 3994 q^{93} + 6057 q^{94} + 379 q^{95} - 2044 q^{96} - 5509 q^{97} - 9041 q^{98} - 2012 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.170046 0.0818897i 0.0601203 0.0289524i −0.403582 0.914943i \(-0.632235\pi\)
0.463702 + 0.885991i \(0.346521\pi\)
\(3\) 0.966806 + 0.465589i 0.186062 + 0.0896027i 0.524595 0.851352i \(-0.324217\pi\)
−0.338534 + 0.940954i \(0.609931\pi\)
\(4\) −4.96571 + 6.22680i −0.620714 + 0.778350i
\(5\) −3.57419 + 15.6596i −0.319685 + 1.40063i 0.518420 + 0.855126i \(0.326520\pi\)
−0.838106 + 0.545508i \(0.816337\pi\)
\(6\) 0.202528 0.0137803
\(7\) 29.7402 1.60582 0.802911 0.596099i \(-0.203283\pi\)
0.802911 + 0.596099i \(0.203283\pi\)
\(8\) −0.670469 + 2.93752i −0.0296308 + 0.129821i
\(9\) −16.1163 20.2092i −0.596899 0.748488i
\(10\) 0.674581 + 2.95553i 0.0213321 + 0.0934621i
\(11\) 7.64529 + 9.58689i 0.209558 + 0.262778i 0.875491 0.483234i \(-0.160538\pi\)
−0.665933 + 0.746011i \(0.731966\pi\)
\(12\) −7.70001 + 3.70813i −0.185233 + 0.0892037i
\(13\) −8.30105 + 36.3693i −0.177100 + 0.775925i 0.805860 + 0.592106i \(0.201703\pi\)
−0.982960 + 0.183819i \(0.941154\pi\)
\(14\) 5.05720 2.43542i 0.0965424 0.0464924i
\(15\) −10.7465 + 13.4756i −0.184982 + 0.231960i
\(16\) −14.0514 61.5631i −0.219553 0.961924i
\(17\) −7.89957 34.6103i −0.112702 0.493778i −0.999500 0.0316214i \(-0.989933\pi\)
0.886798 0.462157i \(-0.152924\pi\)
\(18\) −4.39543 2.11673i −0.0575563 0.0277176i
\(19\) 59.7314 74.9009i 0.721228 0.904391i −0.277179 0.960818i \(-0.589399\pi\)
0.998407 + 0.0564270i \(0.0179708\pi\)
\(20\) −79.7606 100.017i −0.891750 1.11822i
\(21\) 28.7530 + 13.8467i 0.298782 + 0.143886i
\(22\) 2.08512 + 1.00414i 0.0202067 + 0.00973106i
\(23\) 76.9282 + 96.4649i 0.697419 + 0.874536i 0.996828 0.0795892i \(-0.0253609\pi\)
−0.299409 + 0.954125i \(0.596789\pi\)
\(24\) −2.01589 + 2.52785i −0.0171455 + 0.0214998i
\(25\) −119.826 57.7051i −0.958606 0.461640i
\(26\) 1.56671 + 6.86421i 0.0118176 + 0.0517763i
\(27\) −12.6192 55.2885i −0.0899472 0.394084i
\(28\) −147.681 + 185.187i −0.996756 + 1.24989i
\(29\) 175.440 84.4876i 1.12340 0.540999i 0.222455 0.974943i \(-0.428593\pi\)
0.900940 + 0.433944i \(0.142879\pi\)
\(30\) −0.723875 + 3.17150i −0.00440536 + 0.0193011i
\(31\) 57.7065 27.7900i 0.334335 0.161007i −0.259182 0.965828i \(-0.583453\pi\)
0.593518 + 0.804821i \(0.297739\pi\)
\(32\) −22.4597 28.1635i −0.124073 0.155583i
\(33\) 2.92796 + 12.8282i 0.0154452 + 0.0676699i
\(34\) −4.17751 5.23844i −0.0210717 0.0264231i
\(35\) −106.297 + 465.719i −0.513358 + 2.24917i
\(36\) 205.867 0.953090
\(37\) 286.712 1.27392 0.636962 0.770895i \(-0.280191\pi\)
0.636962 + 0.770895i \(0.280191\pi\)
\(38\) 4.02347 17.6280i 0.0171761 0.0752535i
\(39\) −24.9586 + 31.2972i −0.102476 + 0.128501i
\(40\) −43.6038 20.9985i −0.172359 0.0830039i
\(41\) −398.287 + 191.805i −1.51712 + 0.730607i −0.992673 0.120835i \(-0.961443\pi\)
−0.524448 + 0.851442i \(0.675728\pi\)
\(42\) 6.02324 0.0221287
\(43\) −112.354 258.619i −0.398460 0.917186i
\(44\) −97.6600 −0.334609
\(45\) 374.070 180.142i 1.23918 0.596756i
\(46\) 20.9808 + 10.1038i 0.0672489 + 0.0323854i
\(47\) −289.060 + 362.470i −0.897100 + 1.12493i 0.0944920 + 0.995526i \(0.469877\pi\)
−0.991592 + 0.129402i \(0.958694\pi\)
\(48\) 15.0782 66.0618i 0.0453405 0.198650i
\(49\) 541.482 1.57866
\(50\) −25.1013 −0.0709973
\(51\) 8.47682 37.1394i 0.0232744 0.101972i
\(52\) −185.244 232.288i −0.494013 0.619473i
\(53\) 31.6509 + 138.672i 0.0820300 + 0.359397i 0.999239 0.0390099i \(-0.0124204\pi\)
−0.917209 + 0.398407i \(0.869563\pi\)
\(54\) −6.67341 8.36819i −0.0168173 0.0210883i
\(55\) −177.452 + 85.4565i −0.435048 + 0.209508i
\(56\) −19.9399 + 87.3625i −0.0475819 + 0.208470i
\(57\) 92.6217 44.6043i 0.215229 0.103649i
\(58\) 22.9142 28.7335i 0.0518756 0.0650499i
\(59\) −110.463 483.971i −0.243747 1.06793i −0.937574 0.347785i \(-0.886934\pi\)
0.693827 0.720141i \(-0.255923\pi\)
\(60\) −30.5463 133.832i −0.0657253 0.287961i
\(61\) −130.605 62.8960i −0.274135 0.132017i 0.291766 0.956490i \(-0.405757\pi\)
−0.565901 + 0.824473i \(0.691472\pi\)
\(62\) 7.53704 9.45114i 0.0154388 0.0193596i
\(63\) −479.302 601.026i −0.958514 1.20194i
\(64\) 449.018 + 216.236i 0.876988 + 0.422335i
\(65\) −539.857 259.982i −1.03017 0.496104i
\(66\) 1.54839 + 1.94162i 0.00288778 + 0.00362116i
\(67\) 445.111 558.152i 0.811627 1.01775i −0.187742 0.982218i \(-0.560117\pi\)
0.999369 0.0355293i \(-0.0113117\pi\)
\(68\) 254.738 + 122.676i 0.454288 + 0.218773i
\(69\) 29.4616 + 129.080i 0.0514023 + 0.225208i
\(70\) 20.0622 + 87.8982i 0.0342556 + 0.150084i
\(71\) −342.286 + 429.213i −0.572139 + 0.717440i −0.980750 0.195269i \(-0.937442\pi\)
0.408611 + 0.912709i \(0.366013\pi\)
\(72\) 70.1703 33.7922i 0.114856 0.0553119i
\(73\) 114.501 501.661i 0.183580 0.804314i −0.796328 0.604864i \(-0.793227\pi\)
0.979908 0.199450i \(-0.0639156\pi\)
\(74\) 48.7542 23.4788i 0.0765886 0.0368831i
\(75\) −88.9814 111.579i −0.136996 0.171787i
\(76\) 169.784 + 743.872i 0.256257 + 1.12274i
\(77\) 227.373 + 285.116i 0.336513 + 0.421974i
\(78\) −1.68120 + 7.36580i −0.00244049 + 0.0106925i
\(79\) −1074.57 −1.53036 −0.765180 0.643817i \(-0.777350\pi\)
−0.765180 + 0.643817i \(0.777350\pi\)
\(80\) 1014.27 1.41749
\(81\) −141.758 + 621.083i −0.194456 + 0.851966i
\(82\) −52.0202 + 65.2312i −0.0700569 + 0.0878486i
\(83\) −113.885 54.8440i −0.150608 0.0725291i 0.357062 0.934081i \(-0.383779\pi\)
−0.507670 + 0.861552i \(0.669493\pi\)
\(84\) −229.000 + 110.281i −0.297452 + 0.143245i
\(85\) 570.216 0.727631
\(86\) −40.2835 34.7764i −0.0505102 0.0436051i
\(87\) 208.953 0.257496
\(88\) −33.2876 + 16.0305i −0.0403235 + 0.0194188i
\(89\) −69.6372 33.5355i −0.0829386 0.0399411i 0.391955 0.919985i \(-0.371799\pi\)
−0.474893 + 0.880043i \(0.657513\pi\)
\(90\) 48.8571 61.2649i 0.0572222 0.0717543i
\(91\) −246.875 + 1081.63i −0.284391 + 1.24600i
\(92\) −982.671 −1.11359
\(93\) 68.7297 0.0766338
\(94\) −19.4709 + 85.3074i −0.0213645 + 0.0936042i
\(95\) 959.423 + 1203.08i 1.03615 + 1.29930i
\(96\) −8.60151 37.6857i −0.00914466 0.0400654i
\(97\) −125.154 156.939i −0.131005 0.164275i 0.712002 0.702177i \(-0.247789\pi\)
−0.843008 + 0.537902i \(0.819217\pi\)
\(98\) 92.0767 44.3418i 0.0949097 0.0457061i
\(99\) 70.5295 309.010i 0.0716009 0.313704i
\(100\) 954.338 459.585i 0.954338 0.459585i
\(101\) 682.007 855.210i 0.671904 0.842541i −0.322677 0.946509i \(-0.604583\pi\)
0.994581 + 0.103969i \(0.0331542\pi\)
\(102\) −1.59989 7.00956i −0.00155306 0.00680441i
\(103\) 151.385 + 663.262i 0.144820 + 0.634496i 0.994276 + 0.106838i \(0.0340726\pi\)
−0.849457 + 0.527658i \(0.823070\pi\)
\(104\) −101.270 48.7690i −0.0954839 0.0459826i
\(105\) −319.603 + 400.769i −0.297048 + 0.372486i
\(106\) 16.7379 + 20.9887i 0.0153371 + 0.0192321i
\(107\) −460.011 221.530i −0.415616 0.200150i 0.214377 0.976751i \(-0.431228\pi\)
−0.629993 + 0.776601i \(0.716942\pi\)
\(108\) 406.934 + 195.969i 0.362567 + 0.174603i
\(109\) −1083.82 1359.06i −0.952394 1.19426i −0.980869 0.194670i \(-0.937636\pi\)
0.0284748 0.999595i \(-0.490935\pi\)
\(110\) −23.1770 + 29.0630i −0.0200894 + 0.0251914i
\(111\) 277.195 + 133.490i 0.237029 + 0.114147i
\(112\) −417.892 1830.90i −0.352563 1.54468i
\(113\) 187.497 + 821.476i 0.156090 + 0.683876i 0.991042 + 0.133552i \(0.0426384\pi\)
−0.834952 + 0.550323i \(0.814504\pi\)
\(114\) 12.0973 15.1695i 0.00993874 0.0124628i
\(115\) −1785.55 + 859.877i −1.44786 + 0.697252i
\(116\) −345.098 + 1511.97i −0.276220 + 1.21020i
\(117\) 868.775 418.380i 0.686481 0.330592i
\(118\) −58.4160 73.2514i −0.0455732 0.0571469i
\(119\) −234.935 1029.32i −0.180979 0.792920i
\(120\) −32.3798 40.6030i −0.0246321 0.0308877i
\(121\) 262.717 1151.04i 0.197383 0.864793i
\(122\) −27.3593 −0.0203033
\(123\) −474.368 −0.347743
\(124\) −113.511 + 497.324i −0.0822064 + 0.360170i
\(125\) 80.0831 100.421i 0.0573028 0.0718554i
\(126\) −130.721 62.9520i −0.0924251 0.0445096i
\(127\) 599.616 288.760i 0.418955 0.201758i −0.212516 0.977158i \(-0.568166\pi\)
0.631471 + 0.775400i \(0.282451\pi\)
\(128\) 382.241 0.263951
\(129\) 11.7858 302.345i 0.00804406 0.206356i
\(130\) −113.090 −0.0762975
\(131\) −354.665 + 170.798i −0.236544 + 0.113913i −0.548401 0.836216i \(-0.684763\pi\)
0.311857 + 0.950129i \(0.399049\pi\)
\(132\) −94.4182 45.4694i −0.0622580 0.0299819i
\(133\) 1776.43 2227.57i 1.15816 1.45229i
\(134\) 29.9824 131.361i 0.0193290 0.0846858i
\(135\) 910.897 0.580722
\(136\) 106.965 0.0674423
\(137\) 680.194 2980.12i 0.424182 1.85846i −0.0828930 0.996558i \(-0.526416\pi\)
0.507075 0.861902i \(-0.330727\pi\)
\(138\) 15.5801 + 19.5369i 0.00961064 + 0.0120514i
\(139\) 511.333 + 2240.30i 0.312020 + 1.36705i 0.851193 + 0.524852i \(0.175879\pi\)
−0.539174 + 0.842195i \(0.681263\pi\)
\(140\) −2372.10 2974.52i −1.43199 1.79566i
\(141\) −448.227 + 215.855i −0.267713 + 0.128924i
\(142\) −23.0561 + 101.016i −0.0136256 + 0.0596975i
\(143\) −412.132 + 198.472i −0.241009 + 0.116064i
\(144\) −1017.68 + 1276.14i −0.588938 + 0.738505i
\(145\) 695.981 + 3049.29i 0.398608 + 1.74641i
\(146\) −21.6105 94.6817i −0.0122500 0.0536707i
\(147\) 523.508 + 252.108i 0.293729 + 0.141453i
\(148\) −1423.73 + 1785.30i −0.790742 + 0.991559i
\(149\) 537.918 + 674.528i 0.295758 + 0.370869i 0.907402 0.420265i \(-0.138063\pi\)
−0.611643 + 0.791134i \(0.709491\pi\)
\(150\) −24.2681 11.6869i −0.0132099 0.00636154i
\(151\) −991.918 477.682i −0.534577 0.257439i 0.147062 0.989127i \(-0.453018\pi\)
−0.681639 + 0.731689i \(0.738733\pi\)
\(152\) 179.975 + 225.681i 0.0960386 + 0.120429i
\(153\) −572.134 + 717.433i −0.302315 + 0.379092i
\(154\) 62.0119 + 29.8634i 0.0324484 + 0.0156263i
\(155\) 228.925 + 1002.99i 0.118630 + 0.519753i
\(156\) −70.9438 310.825i −0.0364106 0.159525i
\(157\) −353.960 + 443.852i −0.179930 + 0.225626i −0.863615 0.504152i \(-0.831805\pi\)
0.683684 + 0.729778i \(0.260376\pi\)
\(158\) −182.726 + 87.9961i −0.0920056 + 0.0443076i
\(159\) −33.9638 + 148.805i −0.0169403 + 0.0742202i
\(160\) 521.304 251.047i 0.257579 0.124044i
\(161\) 2287.86 + 2868.89i 1.11993 + 1.40435i
\(162\) 26.7550 + 117.221i 0.0129757 + 0.0568504i
\(163\) 972.920 + 1220.00i 0.467515 + 0.586245i 0.958561 0.284889i \(-0.0919566\pi\)
−0.491046 + 0.871134i \(0.663385\pi\)
\(164\) 783.446 3432.50i 0.373030 1.63435i
\(165\) −211.349 −0.0997184
\(166\) −23.8568 −0.0111545
\(167\) 466.214 2042.62i 0.216028 0.946482i −0.744352 0.667788i \(-0.767241\pi\)
0.960380 0.278694i \(-0.0899015\pi\)
\(168\) −59.9531 + 75.1788i −0.0275326 + 0.0345248i
\(169\) 725.612 + 349.436i 0.330274 + 0.159051i
\(170\) 96.9629 46.6949i 0.0437454 0.0210667i
\(171\) −2476.33 −1.10743
\(172\) 2168.28 + 584.621i 0.961221 + 0.259168i
\(173\) 832.450 0.365838 0.182919 0.983128i \(-0.441445\pi\)
0.182919 + 0.983128i \(0.441445\pi\)
\(174\) 35.5316 17.1111i 0.0154807 0.00745512i
\(175\) −3563.65 1716.16i −1.53935 0.741312i
\(176\) 482.772 605.377i 0.206763 0.259273i
\(177\) 118.535 519.336i 0.0503370 0.220541i
\(178\) −14.5877 −0.00614268
\(179\) 2978.97 1.24390 0.621951 0.783056i \(-0.286340\pi\)
0.621951 + 0.783056i \(0.286340\pi\)
\(180\) −735.809 + 3223.79i −0.304689 + 1.33493i
\(181\) 2650.07 + 3323.09i 1.08828 + 1.36466i 0.925829 + 0.377942i \(0.123368\pi\)
0.162450 + 0.986717i \(0.448061\pi\)
\(182\) 46.5944 + 204.143i 0.0189770 + 0.0831435i
\(183\) −96.9859 121.616i −0.0391771 0.0491265i
\(184\) −334.945 + 161.301i −0.134198 + 0.0646265i
\(185\) −1024.76 + 4489.79i −0.407255 + 1.78430i
\(186\) 11.6872 5.62826i 0.00460724 0.00221873i
\(187\) 271.410 340.338i 0.106136 0.133091i
\(188\) −821.639 3599.84i −0.318746 1.39652i
\(189\) −375.299 1644.29i −0.144439 0.632829i
\(190\) 261.666 + 126.011i 0.0999116 + 0.0481149i
\(191\) −677.795 + 849.928i −0.256772 + 0.321983i −0.893463 0.449137i \(-0.851732\pi\)
0.636690 + 0.771120i \(0.280303\pi\)
\(192\) 333.436 + 418.116i 0.125332 + 0.157161i
\(193\) −3420.29 1647.13i −1.27564 0.614315i −0.331372 0.943500i \(-0.607512\pi\)
−0.944265 + 0.329185i \(0.893226\pi\)
\(194\) −34.1337 16.4379i −0.0126322 0.00608336i
\(195\) −400.893 502.703i −0.147223 0.184612i
\(196\) −2688.84 + 3371.70i −0.979899 + 1.22875i
\(197\) −3973.33 1913.46i −1.43700 0.692021i −0.456713 0.889614i \(-0.650973\pi\)
−0.980284 + 0.197593i \(0.936688\pi\)
\(198\) −13.3115 58.3215i −0.00477782 0.0209330i
\(199\) −209.053 915.920i −0.0744691 0.326271i 0.923948 0.382519i \(-0.124943\pi\)
−0.998417 + 0.0562483i \(0.982086\pi\)
\(200\) 249.849 313.301i 0.0883350 0.110769i
\(201\) 690.205 332.385i 0.242206 0.116640i
\(202\) 45.9395 201.274i 0.0160015 0.0701070i
\(203\) 5217.64 2512.68i 1.80397 0.868747i
\(204\) 189.166 + 237.207i 0.0649229 + 0.0814108i
\(205\) −1580.03 6922.54i −0.538311 2.35849i
\(206\) 80.0567 + 100.388i 0.0270768 + 0.0339532i
\(207\) 709.680 3109.31i 0.238291 1.04402i
\(208\) 2355.65 0.785264
\(209\) 1174.73 0.388793
\(210\) −21.5282 + 94.3212i −0.00707423 + 0.0309942i
\(211\) −2546.28 + 3192.93i −0.830772 + 1.04176i 0.167663 + 0.985844i \(0.446378\pi\)
−0.998436 + 0.0559114i \(0.982194\pi\)
\(212\) −1020.65 491.520i −0.330654 0.159235i
\(213\) −530.761 + 255.601i −0.170738 + 0.0822230i
\(214\) −96.3639 −0.0307818
\(215\) 4451.43 835.057i 1.41202 0.264886i
\(216\) 170.872 0.0538257
\(217\) 1716.21 826.481i 0.536883 0.258549i
\(218\) −295.592 142.350i −0.0918350 0.0442254i
\(219\) 344.268 431.698i 0.106226 0.133203i
\(220\) 349.055 1529.31i 0.106970 0.468664i
\(221\) 1324.33 0.403094
\(222\) 58.0673 0.0175551
\(223\) 79.5235 348.415i 0.0238802 0.104626i −0.961583 0.274513i \(-0.911483\pi\)
0.985463 + 0.169887i \(0.0543404\pi\)
\(224\) −667.956 837.591i −0.199240 0.249839i
\(225\) 764.974 + 3351.57i 0.226659 + 0.993058i
\(226\) 99.1534 + 124.334i 0.0291840 + 0.0365956i
\(227\) −3973.35 + 1913.47i −1.16177 + 0.559477i −0.912547 0.408971i \(-0.865888\pi\)
−0.249218 + 0.968447i \(0.580173\pi\)
\(228\) −182.191 + 798.229i −0.0529205 + 0.231860i
\(229\) −2271.24 + 1093.77i −0.655404 + 0.315626i −0.731868 0.681446i \(-0.761351\pi\)
0.0764640 + 0.997072i \(0.475637\pi\)
\(230\) −233.211 + 292.437i −0.0668585 + 0.0838379i
\(231\) 87.0782 + 381.515i 0.0248023 + 0.108666i
\(232\) 130.557 + 572.006i 0.0369459 + 0.161871i
\(233\) −3340.74 1608.81i −0.939309 0.452347i −0.0993833 0.995049i \(-0.531687\pi\)
−0.839925 + 0.542702i \(0.817401\pi\)
\(234\) 113.471 142.288i 0.0317000 0.0397506i
\(235\) −4642.96 5822.08i −1.28882 1.61613i
\(236\) 3562.12 + 1715.43i 0.982518 + 0.473156i
\(237\) −1038.90 500.307i −0.284741 0.137124i
\(238\) −124.240 155.792i −0.0338374 0.0424308i
\(239\) 723.537 907.287i 0.195823 0.245554i −0.674219 0.738531i \(-0.735520\pi\)
0.870043 + 0.492977i \(0.164091\pi\)
\(240\) 980.606 + 472.235i 0.263741 + 0.127011i
\(241\) 220.095 + 964.297i 0.0588280 + 0.257742i 0.995787 0.0916973i \(-0.0292292\pi\)
−0.936959 + 0.349439i \(0.886372\pi\)
\(242\) −49.5844 217.243i −0.0131711 0.0577063i
\(243\) −1380.90 + 1731.59i −0.364546 + 0.457126i
\(244\) 1040.19 500.928i 0.272914 0.131429i
\(245\) −1935.36 + 8479.37i −0.504676 + 2.21113i
\(246\) −80.6643 + 38.8459i −0.0209064 + 0.0100680i
\(247\) 2228.26 + 2794.15i 0.574010 + 0.719786i
\(248\) 42.9432 + 188.146i 0.0109955 + 0.0481746i
\(249\) −84.5697 106.047i −0.0215236 0.0269898i
\(250\) 5.39434 23.6341i 0.00136467 0.00597902i
\(251\) 335.320 0.0843235 0.0421617 0.999111i \(-0.486576\pi\)
0.0421617 + 0.999111i \(0.486576\pi\)
\(252\) 6122.54 1.53049
\(253\) −336.660 + 1475.00i −0.0836587 + 0.366532i
\(254\) 78.3156 98.2047i 0.0193463 0.0242595i
\(255\) 551.288 + 265.486i 0.135384 + 0.0651977i
\(256\) −3527.14 + 1698.58i −0.861119 + 0.414693i
\(257\) 938.359 0.227756 0.113878 0.993495i \(-0.463673\pi\)
0.113878 + 0.993495i \(0.463673\pi\)
\(258\) −22.7548 52.3776i −0.00549090 0.0126391i
\(259\) 8526.89 2.04570
\(260\) 4299.63 2070.59i 1.02558 0.493895i
\(261\) −4534.87 2183.88i −1.07548 0.517926i
\(262\) −46.3227 + 58.0869i −0.0109230 + 0.0136970i
\(263\) 354.880 1554.83i 0.0832048 0.364544i −0.916135 0.400869i \(-0.868708\pi\)
0.999340 + 0.0363253i \(0.0115652\pi\)
\(264\) −39.6463 −0.00924265
\(265\) −2284.67 −0.529607
\(266\) 119.659 524.260i 0.0275818 0.120844i
\(267\) −51.7119 64.8447i −0.0118529 0.0148630i
\(268\) 1265.21 + 5543.24i 0.288376 + 1.26346i
\(269\) −707.942 887.731i −0.160461 0.201212i 0.695101 0.718912i \(-0.255360\pi\)
−0.855562 + 0.517700i \(0.826788\pi\)
\(270\) 154.894 74.5931i 0.0349132 0.0168133i
\(271\) −851.912 + 3732.47i −0.190959 + 0.836647i 0.785139 + 0.619319i \(0.212591\pi\)
−0.976099 + 0.217328i \(0.930266\pi\)
\(272\) −2019.72 + 972.645i −0.450233 + 0.216821i
\(273\) −742.276 + 930.785i −0.164559 + 0.206350i
\(274\) −128.377 562.458i −0.0283050 0.124012i
\(275\) −362.891 1589.93i −0.0795751 0.348641i
\(276\) −950.052 457.521i −0.207197 0.0997809i
\(277\) 2800.37 3511.55i 0.607429 0.761691i −0.379087 0.925361i \(-0.623762\pi\)
0.986515 + 0.163670i \(0.0523332\pi\)
\(278\) 270.407 + 339.080i 0.0583380 + 0.0731535i
\(279\) −1491.63 718.330i −0.320077 0.154141i
\(280\) −1296.79 624.501i −0.276778 0.133289i
\(281\) 2179.16 + 2732.58i 0.462625 + 0.580114i 0.957348 0.288937i \(-0.0933019\pi\)
−0.494723 + 0.869051i \(0.664730\pi\)
\(282\) −58.5428 + 73.4103i −0.0123623 + 0.0155018i
\(283\) −55.4989 26.7269i −0.0116575 0.00561395i 0.428046 0.903757i \(-0.359202\pi\)
−0.439703 + 0.898143i \(0.644916\pi\)
\(284\) −972.932 4262.69i −0.203285 0.890649i
\(285\) 367.435 + 1609.84i 0.0763684 + 0.334592i
\(286\) −53.8285 + 67.4988i −0.0111292 + 0.0139556i
\(287\) −11845.1 + 5704.32i −2.43623 + 1.17322i
\(288\) −207.196 + 907.783i −0.0423928 + 0.185735i
\(289\) 3290.99 1584.86i 0.669854 0.322585i
\(290\) 368.054 + 461.526i 0.0745273 + 0.0934542i
\(291\) −47.9311 210.000i −0.00965557 0.0423038i
\(292\) 2555.16 + 3204.08i 0.512088 + 0.642138i
\(293\) −32.9813 + 144.500i −0.00657606 + 0.0288116i −0.978110 0.208091i \(-0.933275\pi\)
0.971533 + 0.236902i \(0.0761322\pi\)
\(294\) 109.665 0.0217545
\(295\) 7973.59 1.57370
\(296\) −192.232 + 842.222i −0.0377474 + 0.165382i
\(297\) 433.567 543.676i 0.0847074 0.106220i
\(298\) 146.708 + 70.6507i 0.0285186 + 0.0137338i
\(299\) −4146.94 + 1997.06i −0.802087 + 0.386265i
\(300\) 1136.64 0.218746
\(301\) −3341.43 7691.38i −0.639856 1.47284i
\(302\) −207.789 −0.0395924
\(303\) 1057.55 509.287i 0.200510 0.0965603i
\(304\) −5450.44 2624.79i −1.02830 0.495205i
\(305\) 1451.73 1820.41i 0.272544 0.341759i
\(306\) −38.5385 + 168.848i −0.00719968 + 0.0315438i
\(307\) 5885.87 1.09422 0.547108 0.837062i \(-0.315729\pi\)
0.547108 + 0.837062i \(0.315729\pi\)
\(308\) −2904.43 −0.537322
\(309\) −162.447 + 711.728i −0.0299071 + 0.131032i
\(310\) 121.062 + 151.807i 0.0221802 + 0.0278131i
\(311\) −1400.12 6134.32i −0.255285 1.11847i −0.926227 0.376965i \(-0.876968\pi\)
0.670943 0.741509i \(-0.265890\pi\)
\(312\) −75.2019 94.3003i −0.0136457 0.0171112i
\(313\) −3965.96 + 1909.91i −0.716196 + 0.344902i −0.756238 0.654296i \(-0.772965\pi\)
0.0400426 + 0.999198i \(0.487251\pi\)
\(314\) −23.8425 + 104.461i −0.00428506 + 0.0187741i
\(315\) 11124.9 5357.48i 1.98990 0.958285i
\(316\) 5335.99 6691.12i 0.949915 1.19116i
\(317\) −2117.05 9275.42i −0.375096 1.64341i −0.712229 0.701948i \(-0.752314\pi\)
0.337132 0.941457i \(-0.390543\pi\)
\(318\) 6.41021 + 28.0850i 0.00113040 + 0.00495260i
\(319\) 2151.27 + 1036.00i 0.377579 + 0.181833i
\(320\) −4991.03 + 6258.55i −0.871897 + 1.09332i
\(321\) −341.600 428.352i −0.0593963 0.0744807i
\(322\) 623.974 + 300.490i 0.107990 + 0.0520051i
\(323\) −3064.19 1475.64i −0.527852 0.254200i
\(324\) −3163.43 3966.82i −0.542427 0.680181i
\(325\) 3093.37 3878.96i 0.527967 0.662050i
\(326\) 265.347 + 127.784i 0.0450803 + 0.0217095i
\(327\) −415.076 1818.57i −0.0701949 0.307544i
\(328\) −296.391 1298.57i −0.0498947 0.218603i
\(329\) −8596.71 + 10779.9i −1.44058 + 1.80643i
\(330\) −35.9391 + 17.3073i −0.00599509 + 0.00288709i
\(331\) 429.360 1881.15i 0.0712984 0.312379i −0.926686 0.375836i \(-0.877356\pi\)
0.997985 + 0.0634574i \(0.0202127\pi\)
\(332\) 907.021 436.798i 0.149938 0.0722061i
\(333\) −4620.73 5794.22i −0.760405 0.953517i
\(334\) −87.9916 385.517i −0.0144152 0.0631573i
\(335\) 7149.50 + 8965.19i 1.16603 + 1.46215i
\(336\) 448.428 1964.69i 0.0728089 0.318996i
\(337\) −6554.82 −1.05954 −0.529768 0.848142i \(-0.677721\pi\)
−0.529768 + 0.848142i \(0.677721\pi\)
\(338\) 152.002 0.0244611
\(339\) −201.198 + 881.504i −0.0322347 + 0.141229i
\(340\) −2831.53 + 3550.62i −0.451650 + 0.566352i
\(341\) 707.603 + 340.764i 0.112372 + 0.0541155i
\(342\) −421.090 + 202.786i −0.0665788 + 0.0320627i
\(343\) 5902.90 0.929233
\(344\) 835.027 156.645i 0.130877 0.0245516i
\(345\) −2126.63 −0.331867
\(346\) 141.555 68.1691i 0.0219943 0.0105919i
\(347\) 2928.37 + 1410.23i 0.453036 + 0.218170i 0.646465 0.762944i \(-0.276247\pi\)
−0.193429 + 0.981114i \(0.561961\pi\)
\(348\) −1037.60 + 1301.11i −0.159831 + 0.200422i
\(349\) −2658.34 + 11646.9i −0.407729 + 1.78638i 0.186900 + 0.982379i \(0.440156\pi\)
−0.594629 + 0.804000i \(0.702701\pi\)
\(350\) −746.519 −0.114009
\(351\) 2115.56 0.321709
\(352\) 98.2901 430.637i 0.0148832 0.0652075i
\(353\) 7223.50 + 9057.98i 1.08915 + 1.36574i 0.925290 + 0.379260i \(0.123822\pi\)
0.163855 + 0.986484i \(0.447607\pi\)
\(354\) −22.3719 98.0177i −0.00335891 0.0147163i
\(355\) −5497.89 6894.14i −0.821965 1.03071i
\(356\) 554.617 267.090i 0.0825693 0.0397633i
\(357\) 252.103 1104.53i 0.0373745 0.163748i
\(358\) 506.561 243.947i 0.0747837 0.0360139i
\(359\) −788.734 + 989.041i −0.115955 + 0.145403i −0.836421 0.548087i \(-0.815356\pi\)
0.720467 + 0.693490i \(0.243928\pi\)
\(360\) 278.369 + 1219.62i 0.0407538 + 0.178554i
\(361\) −516.023 2260.84i −0.0752329 0.329617i
\(362\) 722.761 + 348.063i 0.104938 + 0.0505354i
\(363\) 789.908 990.514i 0.114213 0.143219i
\(364\) −5509.19 6908.31i −0.793297 0.994763i
\(365\) 7446.54 + 3586.06i 1.06786 + 0.514255i
\(366\) −26.4512 12.7382i −0.00377766 0.00181923i
\(367\) −936.137 1173.88i −0.133150 0.166964i 0.710787 0.703407i \(-0.248339\pi\)
−0.843937 + 0.536443i \(0.819768\pi\)
\(368\) 4857.73 6091.41i 0.688117 0.862871i
\(369\) 10295.1 + 4957.87i 1.45242 + 0.699448i
\(370\) 193.410 + 847.387i 0.0271755 + 0.119064i
\(371\) 941.307 + 4124.13i 0.131726 + 0.577128i
\(372\) −341.292 + 427.966i −0.0475676 + 0.0596479i
\(373\) 1077.83 519.056i 0.149619 0.0720529i −0.357576 0.933884i \(-0.616397\pi\)
0.507195 + 0.861831i \(0.330682\pi\)
\(374\) 18.2820 80.0988i 0.00252765 0.0110744i
\(375\) 124.180 59.8018i 0.0171003 0.00823507i
\(376\) −870.955 1092.14i −0.119458 0.149795i
\(377\) 1616.41 + 7081.98i 0.220821 + 0.967481i
\(378\) −198.469 248.872i −0.0270056 0.0338640i
\(379\) 302.533 1325.48i 0.0410029 0.179645i −0.950280 0.311397i \(-0.899203\pi\)
0.991283 + 0.131752i \(0.0420602\pi\)
\(380\) −12255.5 −1.65446
\(381\) 714.155 0.0960296
\(382\) −45.6558 + 200.031i −0.00611507 + 0.0267919i
\(383\) −6713.32 + 8418.23i −0.895651 + 1.12311i 0.0961558 + 0.995366i \(0.469345\pi\)
−0.991807 + 0.127745i \(0.959226\pi\)
\(384\) 369.553 + 177.967i 0.0491111 + 0.0236507i
\(385\) −5277.47 + 2541.50i −0.698610 + 0.336433i
\(386\) −716.489 −0.0944776
\(387\) −3415.75 + 6438.55i −0.448662 + 0.845710i
\(388\) 1598.71 0.209181
\(389\) 5724.65 2756.85i 0.746148 0.359326i −0.0218646 0.999761i \(-0.506960\pi\)
0.768012 + 0.640435i \(0.221246\pi\)
\(390\) −109.336 52.6536i −0.0141961 0.00683646i
\(391\) 2730.98 3424.54i 0.353226 0.442932i
\(392\) −363.047 + 1590.61i −0.0467772 + 0.204944i
\(393\) −422.414 −0.0542187
\(394\) −832.341 −0.106428
\(395\) 3840.71 16827.3i 0.489233 2.14347i
\(396\) 1573.92 + 1973.63i 0.199728 + 0.250451i
\(397\) 3213.17 + 14077.8i 0.406208 + 1.77971i 0.601399 + 0.798949i \(0.294610\pi\)
−0.195191 + 0.980765i \(0.562533\pi\)
\(398\) −110.553 138.629i −0.0139234 0.0174594i
\(399\) 2754.59 1326.54i 0.345619 0.166442i
\(400\) −1868.79 + 8187.69i −0.233598 + 1.02346i
\(401\) 4080.45 1965.04i 0.508150 0.244712i −0.162199 0.986758i \(-0.551859\pi\)
0.670349 + 0.742046i \(0.266144\pi\)
\(402\) 90.1476 113.041i 0.0111845 0.0140249i
\(403\) 531.677 + 2329.43i 0.0657189 + 0.287934i
\(404\) 1938.57 + 8493.45i 0.238732 + 1.04595i
\(405\) −9219.22 4439.74i −1.13113 0.544722i
\(406\) 681.475 854.542i 0.0833030 0.104459i
\(407\) 2192.00 + 2748.68i 0.266961 + 0.334759i
\(408\) 103.414 + 49.8016i 0.0125484 + 0.00604301i
\(409\) −912.350 439.364i −0.110300 0.0531178i 0.377920 0.925838i \(-0.376639\pi\)
−0.488220 + 0.872720i \(0.662354\pi\)
\(410\) −835.562 1047.76i −0.100647 0.126208i
\(411\) 2045.13 2564.51i 0.245447 0.307781i
\(412\) −4881.73 2350.92i −0.583752 0.281120i
\(413\) −3285.20 14393.4i −0.391415 1.71490i
\(414\) −133.943 586.841i −0.0159008 0.0696658i
\(415\) 1265.88 1587.36i 0.149734 0.187760i
\(416\) 1210.73 583.055i 0.142694 0.0687179i
\(417\) −548.698 + 2404.00i −0.0644361 + 0.282313i
\(418\) 199.758 96.1984i 0.0233744 0.0112565i
\(419\) −1807.05 2265.97i −0.210692 0.264200i 0.665244 0.746626i \(-0.268327\pi\)
−0.875937 + 0.482426i \(0.839756\pi\)
\(420\) −908.456 3980.20i −0.105543 0.462414i
\(421\) −2054.38 2576.11i −0.237825 0.298223i 0.648568 0.761157i \(-0.275368\pi\)
−0.886393 + 0.462934i \(0.846797\pi\)
\(422\) −171.515 + 751.458i −0.0197849 + 0.0866835i
\(423\) 11983.8 1.37747
\(424\) −428.572 −0.0490880
\(425\) −1050.62 + 4603.05i −0.119911 + 0.525366i
\(426\) −69.3226 + 86.9277i −0.00788425 + 0.00988653i
\(427\) −3884.22 1870.54i −0.440212 0.211995i
\(428\) 3663.70 1764.35i 0.413766 0.199259i
\(429\) −490.858 −0.0552421
\(430\) 688.564 506.524i 0.0772221 0.0568064i
\(431\) −10692.3 −1.19496 −0.597480 0.801884i \(-0.703831\pi\)
−0.597480 + 0.801884i \(0.703831\pi\)
\(432\) −3226.42 + 1553.76i −0.359331 + 0.173045i
\(433\) −7287.16 3509.31i −0.808772 0.389484i −0.0166612 0.999861i \(-0.505304\pi\)
−0.792111 + 0.610377i \(0.791018\pi\)
\(434\) 224.153 281.079i 0.0247919 0.0310881i
\(435\) −746.839 + 3272.12i −0.0823177 + 0.360657i
\(436\) 13844.6 1.52072
\(437\) 11820.3 1.29392
\(438\) 23.1896 101.600i 0.00252978 0.0110837i
\(439\) 630.439 + 790.546i 0.0685404 + 0.0859469i 0.814920 0.579574i \(-0.196781\pi\)
−0.746379 + 0.665521i \(0.768210\pi\)
\(440\) −132.054 578.565i −0.0143078 0.0626864i
\(441\) −8726.68 10942.9i −0.942304 1.18161i
\(442\) 225.196 108.449i 0.0242341 0.0116705i
\(443\) 2298.52 10070.5i 0.246514 1.08005i −0.688443 0.725290i \(-0.741705\pi\)
0.934957 0.354760i \(-0.115437\pi\)
\(444\) −2207.69 + 1063.17i −0.235973 + 0.113639i
\(445\) 774.048 970.626i 0.0824571 0.103398i
\(446\) −15.0090 65.7587i −0.00159349 0.00698153i
\(447\) 206.009 + 902.586i 0.0217985 + 0.0955053i
\(448\) 13353.9 + 6430.90i 1.40829 + 0.678195i
\(449\) −11834.7 + 14840.3i −1.24391 + 1.55981i −0.567137 + 0.823624i \(0.691949\pi\)
−0.676774 + 0.736191i \(0.736622\pi\)
\(450\) 404.540 + 507.277i 0.0423782 + 0.0531406i
\(451\) −4883.83 2351.93i −0.509913 0.245561i
\(452\) −6046.22 2911.71i −0.629182 0.302998i
\(453\) −736.588 923.652i −0.0763972 0.0957990i
\(454\) −518.959 + 650.754i −0.0536474 + 0.0672718i
\(455\) −16055.5 7731.91i −1.65427 0.796654i
\(456\) 68.9258 + 301.984i 0.00707840 + 0.0310125i
\(457\) 362.984 + 1590.34i 0.0371546 + 0.162785i 0.990102 0.140352i \(-0.0448233\pi\)
−0.952947 + 0.303137i \(0.901966\pi\)
\(458\) −296.646 + 371.982i −0.0302649 + 0.0379510i
\(459\) −1813.86 + 873.511i −0.184453 + 0.0888279i
\(460\) 3512.25 15388.2i 0.355999 1.55973i
\(461\) 10331.1 4975.19i 1.04375 0.502641i 0.168188 0.985755i \(-0.446208\pi\)
0.875558 + 0.483113i \(0.160494\pi\)
\(462\) 46.0494 + 57.7441i 0.00463726 + 0.00581493i
\(463\) 35.6514 + 156.199i 0.00357854 + 0.0156786i 0.976686 0.214674i \(-0.0688690\pi\)
−0.973107 + 0.230353i \(0.926012\pi\)
\(464\) −7666.50 9613.49i −0.767044 0.961843i
\(465\) −245.653 + 1076.28i −0.0244987 + 0.107336i
\(466\) −699.823 −0.0695680
\(467\) 11139.9 1.10384 0.551920 0.833897i \(-0.313895\pi\)
0.551920 + 0.833897i \(0.313895\pi\)
\(468\) −1708.92 + 7487.25i −0.168792 + 0.739526i
\(469\) 13237.7 16599.6i 1.30333 1.63432i
\(470\) −1266.28 609.810i −0.124275 0.0598478i
\(471\) −548.863 + 264.318i −0.0536948 + 0.0258581i
\(472\) 1495.74 0.145862
\(473\) 1620.37 3054.34i 0.157515 0.296910i
\(474\) −217.630 −0.0210888
\(475\) −11479.5 + 5528.25i −1.10888 + 0.534007i
\(476\) 7575.98 + 3648.40i 0.729505 + 0.351311i
\(477\) 2292.35 2874.51i 0.220041 0.275922i
\(478\) 48.7370 213.531i 0.00466355 0.0204323i
\(479\) −13531.5 −1.29075 −0.645377 0.763864i \(-0.723300\pi\)
−0.645377 + 0.763864i \(0.723300\pi\)
\(480\) 620.884 0.0590403
\(481\) −2380.01 + 10427.5i −0.225612 + 0.988469i
\(482\) 116.392 + 145.951i 0.0109990 + 0.0137923i
\(483\) 876.195 + 3838.86i 0.0825430 + 0.361645i
\(484\) 5862.72 + 7351.62i 0.550594 + 0.690422i
\(485\) 2904.92 1398.93i 0.271970 0.130974i
\(486\) −93.0162 + 407.531i −0.00868169 + 0.0380370i
\(487\) −2897.05 + 1395.15i −0.269564 + 0.129815i −0.563783 0.825923i \(-0.690655\pi\)
0.294219 + 0.955738i \(0.404940\pi\)
\(488\) 272.325 341.484i 0.0252614 0.0316768i
\(489\) 372.604 + 1632.49i 0.0344576 + 0.150968i
\(490\) 365.273 + 1600.37i 0.0336763 + 0.147545i
\(491\) 5852.42 + 2818.38i 0.537915 + 0.259046i 0.683057 0.730365i \(-0.260650\pi\)
−0.145143 + 0.989411i \(0.546364\pi\)
\(492\) 2355.57 2953.80i 0.215849 0.270666i
\(493\) −4310.04 5404.62i −0.393742 0.493736i
\(494\) 607.717 + 292.661i 0.0553492 + 0.0266548i
\(495\) 4586.88 + 2208.92i 0.416494 + 0.200573i
\(496\) −2521.70 3162.11i −0.228281 0.286256i
\(497\) −10179.7 + 12764.9i −0.918753 + 1.15208i
\(498\) −23.0649 11.1075i −0.00207543 0.000999472i
\(499\) 3932.80 + 17230.7i 0.352818 + 1.54580i 0.770641 + 0.637269i \(0.219936\pi\)
−0.417823 + 0.908528i \(0.637207\pi\)
\(500\) 227.632 + 997.323i 0.0203601 + 0.0892033i
\(501\) 1401.76 1757.75i 0.125002 0.156747i
\(502\) 57.0197 27.4592i 0.00506955 0.00244137i
\(503\) −3642.02 + 15956.7i −0.322842 + 1.41447i 0.509628 + 0.860395i \(0.329783\pi\)
−0.832470 + 0.554070i \(0.813074\pi\)
\(504\) 2086.88 1004.99i 0.184439 0.0888210i
\(505\) 10954.6 + 13736.6i 0.965293 + 1.21044i
\(506\) 63.5401 + 278.387i 0.00558241 + 0.0244581i
\(507\) 538.832 + 675.674i 0.0471999 + 0.0591868i
\(508\) −1179.47 + 5167.58i −0.103013 + 0.451328i
\(509\) 5525.13 0.481134 0.240567 0.970633i \(-0.422667\pi\)
0.240567 + 0.970633i \(0.422667\pi\)
\(510\) 115.485 0.0100270
\(511\) 3405.28 14919.5i 0.294796 1.29159i
\(512\) −2367.27 + 2968.46i −0.204335 + 0.256228i
\(513\) −4894.92 2357.27i −0.421279 0.202877i
\(514\) 159.564 76.8420i 0.0136927 0.00659408i
\(515\) −10927.5 −0.934993
\(516\) 1824.12 + 1574.74i 0.155624 + 0.134349i
\(517\) −5684.90 −0.483601
\(518\) 1449.96 698.265i 0.122988 0.0592278i
\(519\) 804.818 + 387.580i 0.0680686 + 0.0327801i
\(520\) 1125.66 1411.53i 0.0949296 0.119038i
\(521\) 4008.64 17563.0i 0.337086 1.47687i −0.468009 0.883723i \(-0.655029\pi\)
0.805095 0.593146i \(-0.202114\pi\)
\(522\) −949.973 −0.0796536
\(523\) 2817.84 0.235594 0.117797 0.993038i \(-0.462417\pi\)
0.117797 + 0.993038i \(0.462417\pi\)
\(524\) 697.640 3056.56i 0.0581613 0.254822i
\(525\) −2646.33 3318.39i −0.219991 0.275860i
\(526\) −66.9789 293.454i −0.00555213 0.0243255i
\(527\) −1417.68 1777.71i −0.117182 0.146942i
\(528\) 748.604 360.509i 0.0617023 0.0297143i
\(529\) −680.118 + 2979.79i −0.0558986 + 0.244908i
\(530\) −388.498 + 187.091i −0.0318401 + 0.0153334i
\(531\) −8000.40 + 10032.2i −0.653838 + 0.819886i
\(532\) 5049.41 + 22122.9i 0.411503 + 1.80291i
\(533\) −3669.60 16077.6i −0.298214 1.30656i
\(534\) −14.1035 6.79189i −0.00114292 0.000550400i
\(535\) 5113.22 6411.78i 0.413204 0.518141i
\(536\) 1341.15 + 1681.75i 0.108076 + 0.135523i
\(537\) 2880.08 + 1386.97i 0.231443 + 0.111457i
\(538\) −193.079 92.9818i −0.0154725 0.00745117i
\(539\) 4139.79 + 5191.13i 0.330822 + 0.414838i
\(540\) −4523.25 + 5671.97i −0.360462 + 0.452005i
\(541\) 5102.03 + 2457.01i 0.405459 + 0.195259i 0.625487 0.780235i \(-0.284900\pi\)
−0.220027 + 0.975494i \(0.570615\pi\)
\(542\) 160.787 + 704.453i 0.0127424 + 0.0558282i
\(543\) 1014.91 + 4446.63i 0.0802101 + 0.351424i
\(544\) −797.326 + 999.816i −0.0628402 + 0.0787991i
\(545\) 25156.1 12114.6i 1.97719 0.952166i
\(546\) −49.9992 + 219.061i −0.00391899 + 0.0171702i
\(547\) −7543.68 + 3632.84i −0.589661 + 0.283966i −0.704825 0.709381i \(-0.748975\pi\)
0.115165 + 0.993346i \(0.463260\pi\)
\(548\) 15179.0 + 19033.9i 1.18324 + 1.48373i
\(549\) 833.789 + 3653.07i 0.0648183 + 0.283987i
\(550\) −191.907 240.644i −0.0148781 0.0186565i
\(551\) 4151.11 18187.2i 0.320950 1.40617i
\(552\) −398.927 −0.0307599
\(553\) −31957.9 −2.45748
\(554\) 188.631 826.445i 0.0144660 0.0633796i
\(555\) −3081.14 + 3863.63i −0.235653 + 0.295499i
\(556\) −16489.0 7940.69i −1.25772 0.605684i
\(557\) 8392.60 4041.66i 0.638430 0.307452i −0.0865229 0.996250i \(-0.527576\pi\)
0.724953 + 0.688798i \(0.241861\pi\)
\(558\) −312.469 −0.0237058
\(559\) 10338.4 1939.42i 0.782234 0.146742i
\(560\) 30164.8 2.27624
\(561\) 420.859 202.675i 0.0316732 0.0152530i
\(562\) 594.327 + 286.213i 0.0446088 + 0.0214825i
\(563\) −8511.88 + 10673.6i −0.637181 + 0.799000i −0.990647 0.136447i \(-0.956432\pi\)
0.353466 + 0.935447i \(0.385003\pi\)
\(564\) 881.679 3862.89i 0.0658252 0.288399i
\(565\) −13534.1 −1.00776
\(566\) −11.6260 −0.000863389
\(567\) −4215.92 + 18471.2i −0.312261 + 1.36811i
\(568\) −1031.33 1293.25i −0.0761859 0.0955341i
\(569\) −2599.83 11390.6i −0.191548 0.839226i −0.975779 0.218757i \(-0.929800\pi\)
0.784232 0.620468i \(-0.213057\pi\)
\(570\) 194.310 + 243.657i 0.0142785 + 0.0179047i
\(571\) −11854.5 + 5708.81i −0.868816 + 0.418400i −0.814527 0.580126i \(-0.803003\pi\)
−0.0542888 + 0.998525i \(0.517289\pi\)
\(572\) 810.680 3551.82i 0.0592592 0.259631i
\(573\) −1051.01 + 506.142i −0.0766261 + 0.0369012i
\(574\) −1547.09 + 1939.99i −0.112499 + 0.141069i
\(575\) −3651.47 15998.1i −0.264829 1.16029i
\(576\) −2866.55 12559.2i −0.207361 0.908506i
\(577\) −10194.7 4909.50i −0.735546 0.354221i 0.0283165 0.999599i \(-0.490985\pi\)
−0.763863 + 0.645378i \(0.776700\pi\)
\(578\) 429.836 538.997i 0.0309322 0.0387877i
\(579\) −2539.88 3184.90i −0.182303 0.228601i
\(580\) −22443.4 10808.2i −1.60674 0.773767i
\(581\) −3386.96 1631.07i −0.241850 0.116469i
\(582\) −25.3473 31.7845i −0.00180529 0.00226376i
\(583\) −1087.45 + 1363.62i −0.0772515 + 0.0968703i
\(584\) 1396.87 + 672.696i 0.0989774 + 0.0476650i
\(585\) 3446.48 + 15100.0i 0.243580 + 1.06719i
\(586\) 6.22477 + 27.2725i 0.000438810 + 0.00192255i
\(587\) 15334.4 19228.7i 1.07822 1.35205i 0.146366 0.989231i \(-0.453242\pi\)
0.931859 0.362821i \(-0.118186\pi\)
\(588\) −4169.42 + 2007.88i −0.292421 + 0.140823i
\(589\) 1365.40 5982.21i 0.0955183 0.418493i
\(590\) 1355.87 652.955i 0.0946110 0.0455622i
\(591\) −2950.56 3699.88i −0.205363 0.257517i
\(592\) −4028.70 17650.9i −0.279694 1.22542i
\(593\) −132.329 165.935i −0.00916373 0.0114910i 0.777229 0.629218i \(-0.216625\pi\)
−0.786392 + 0.617727i \(0.788053\pi\)
\(594\) 29.2048 127.954i 0.00201732 0.00883844i
\(595\) 16958.4 1.16845
\(596\) −6871.30 −0.472247
\(597\) 224.329 982.850i 0.0153789 0.0673792i
\(598\) −541.631 + 679.184i −0.0370384 + 0.0464447i
\(599\) 11062.6 + 5327.49i 0.754603 + 0.363398i 0.771307 0.636463i \(-0.219603\pi\)
−0.0167044 + 0.999860i \(0.505317\pi\)
\(600\) 387.425 186.574i 0.0263609 0.0126948i
\(601\) 23050.4 1.56447 0.782235 0.622983i \(-0.214079\pi\)
0.782235 + 0.622983i \(0.214079\pi\)
\(602\) −1198.04 1034.26i −0.0811105 0.0700220i
\(603\) −18453.3 −1.24623
\(604\) 7900.01 3804.44i 0.532197 0.256292i
\(605\) 17085.8 + 8228.07i 1.14816 + 0.552924i
\(606\) 138.126 173.204i 0.00925903 0.0116105i
\(607\) 775.308 3396.85i 0.0518431 0.227140i −0.942369 0.334576i \(-0.891407\pi\)
0.994212 + 0.107436i \(0.0342641\pi\)
\(608\) −3451.02 −0.230193
\(609\) 6214.32 0.413493
\(610\) 97.7875 428.435i 0.00649066 0.0284374i
\(611\) −10783.3 13521.8i −0.713983 0.895307i
\(612\) −1626.26 7125.13i −0.107415 0.470615i
\(613\) 9858.51 + 12362.2i 0.649562 + 0.814525i 0.992162 0.124956i \(-0.0398790\pi\)
−0.342600 + 0.939481i \(0.611308\pi\)
\(614\) 1000.87 481.992i 0.0657846 0.0316802i
\(615\) 1695.48 7428.40i 0.111168 0.487060i
\(616\) −989.981 + 476.750i −0.0647524 + 0.0311831i
\(617\) −4228.47 + 5302.34i −0.275903 + 0.345971i −0.900406 0.435052i \(-0.856730\pi\)
0.624503 + 0.781022i \(0.285302\pi\)
\(618\) 30.6598 + 134.329i 0.00199566 + 0.00874355i
\(619\) 5570.17 + 24404.5i 0.361687 + 1.58465i 0.748913 + 0.662668i \(0.230576\pi\)
−0.387227 + 0.921984i \(0.626567\pi\)
\(620\) −7382.17 3555.06i −0.478185 0.230282i
\(621\) 4362.62 5470.56i 0.281910 0.353504i
\(622\) −740.423 928.460i −0.0477303 0.0598519i
\(623\) −2071.03 997.354i −0.133185 0.0641383i
\(624\) 2277.45 + 1096.76i 0.146108 + 0.0703617i
\(625\) −9078.94 11384.6i −0.581052 0.728616i
\(626\) −517.993 + 649.543i −0.0330721 + 0.0414712i
\(627\) 1135.74 + 546.942i 0.0723396 + 0.0348369i
\(628\) −1006.11 4408.08i −0.0639305 0.280098i
\(629\) −2264.90 9923.19i −0.143573 0.629036i
\(630\) 1453.02 1822.03i 0.0918886 0.115225i
\(631\) −11854.5 + 5708.81i −0.747891 + 0.360165i −0.768693 0.639618i \(-0.779092\pi\)
0.0208019 + 0.999784i \(0.493378\pi\)
\(632\) 720.465 3156.56i 0.0453458 0.198673i
\(633\) −3948.35 + 1901.43i −0.247919 + 0.119392i
\(634\) −1119.56 1403.88i −0.0701314 0.0879420i
\(635\) 2378.71 + 10421.8i 0.148655 + 0.651301i
\(636\) −757.925 950.408i −0.0472542 0.0592549i
\(637\) −4494.87 + 19693.3i −0.279581 + 1.22493i
\(638\) 450.651 0.0279647
\(639\) 14190.4 0.878505
\(640\) −1366.20 + 5985.73i −0.0843811 + 0.369698i
\(641\) 10640.9 13343.3i 0.655681 0.822198i −0.337184 0.941439i \(-0.609475\pi\)
0.992865 + 0.119241i \(0.0380460\pi\)
\(642\) −93.1652 44.8660i −0.00572732 0.00275813i
\(643\) 6682.79 3218.26i 0.409866 0.197381i −0.217578 0.976043i \(-0.569816\pi\)
0.627443 + 0.778662i \(0.284101\pi\)
\(644\) −29224.9 −1.78823
\(645\) 4692.46 + 1265.20i 0.286458 + 0.0772359i
\(646\) −641.893 −0.0390943
\(647\) −16692.4 + 8038.65i −1.01429 + 0.488457i −0.865765 0.500451i \(-0.833168\pi\)
−0.148527 + 0.988908i \(0.547453\pi\)
\(648\) −1729.40 832.835i −0.104841 0.0504889i
\(649\) 3795.25 4759.10i 0.229548 0.287844i
\(650\) 208.367 912.917i 0.0125736 0.0550885i
\(651\) 2044.04 0.123060
\(652\) −12427.9 −0.746497
\(653\) −690.682 + 3026.08i −0.0413912 + 0.181347i −0.991398 0.130883i \(-0.958219\pi\)
0.950007 + 0.312230i \(0.101076\pi\)
\(654\) −219.504 275.249i −0.0131243 0.0164573i
\(655\) −1406.98 6164.36i −0.0839314 0.367728i
\(656\) 17404.6 + 21824.7i 1.03588 + 1.29895i
\(657\) −11983.5 + 5770.94i −0.711598 + 0.342688i
\(658\) −579.068 + 2537.06i −0.0343076 + 0.150312i
\(659\) −24403.6 + 11752.1i −1.44253 + 0.694687i −0.981281 0.192583i \(-0.938314\pi\)
−0.461251 + 0.887270i \(0.652599\pi\)
\(660\) 1049.50 1316.03i 0.0618965 0.0776158i
\(661\) −378.311 1657.49i −0.0222611 0.0975322i 0.962577 0.271008i \(-0.0873571\pi\)
−0.984838 + 0.173476i \(0.944500\pi\)
\(662\) −81.0360 355.042i −0.00475763 0.0208445i
\(663\) 1280.37 + 616.592i 0.0750004 + 0.0361183i
\(664\) 237.461 297.767i 0.0138785 0.0174030i
\(665\) 28533.5 + 35779.8i 1.66388 + 2.08644i
\(666\) −1260.22 606.892i −0.0733223 0.0353102i
\(667\) 21646.4 + 10424.4i 1.25660 + 0.605146i
\(668\) 10403.9 + 13046.1i 0.602603 + 0.755640i
\(669\) 239.102 299.825i 0.0138180 0.0173272i
\(670\) 1949.90 + 939.022i 0.112435 + 0.0541456i
\(671\) −395.535 1732.95i −0.0227563 0.0997018i
\(672\) −255.811 1120.78i −0.0146847 0.0643379i
\(673\) 13231.1 16591.2i 0.757831 0.950290i −0.241969 0.970284i \(-0.577793\pi\)
0.999800 + 0.0199940i \(0.00636472\pi\)
\(674\) −1114.62 + 536.772i −0.0636996 + 0.0306761i
\(675\) −1678.32 + 7353.18i −0.0957013 + 0.419295i
\(676\) −5779.05 + 2783.04i −0.328803 + 0.158343i
\(677\) −9518.65 11936.0i −0.540371 0.677604i 0.434423 0.900709i \(-0.356952\pi\)
−0.974794 + 0.223105i \(0.928381\pi\)
\(678\) 37.9733 + 166.372i 0.00215097 + 0.00942401i
\(679\) −3722.12 4667.40i −0.210371 0.263797i
\(680\) −382.313 + 1675.02i −0.0215603 + 0.0944619i
\(681\) −4732.35 −0.266291
\(682\) 148.230 0.00832260
\(683\) 1350.71 5917.85i 0.0756713 0.331538i −0.922896 0.385050i \(-0.874184\pi\)
0.998567 + 0.0535118i \(0.0170415\pi\)
\(684\) 12296.8 15419.6i 0.687395 0.861966i
\(685\) 44236.3 + 21303.1i 2.46742 + 1.18825i
\(686\) 1003.76 483.387i 0.0558657 0.0269035i
\(687\) −2705.09 −0.150227
\(688\) −14342.7 + 10550.8i −0.794780 + 0.584659i
\(689\) −5306.13 −0.293393
\(690\) −361.625 + 174.149i −0.0199519 + 0.00960834i
\(691\) −12390.6 5966.98i −0.682141 0.328502i 0.0605224 0.998167i \(-0.480723\pi\)
−0.742663 + 0.669665i \(0.766438\pi\)
\(692\) −4133.71 + 5183.50i −0.227081 + 0.284750i
\(693\) 2097.57 9190.04i 0.114978 0.503753i
\(694\) 613.441 0.0335532
\(695\) −36909.7 −2.01448
\(696\) −140.097 + 613.804i −0.00762982 + 0.0334284i
\(697\) 9784.71 + 12269.6i 0.531740 + 0.666780i
\(698\) 501.726 + 2198.20i 0.0272071 + 0.119202i
\(699\) −2480.80 3110.82i −0.134238 0.168329i
\(700\) 28382.2 13668.2i 1.53250 0.738012i
\(701\) 491.485 2153.34i 0.0264809 0.116021i −0.959960 0.280137i \(-0.909620\pi\)
0.986441 + 0.164116i \(0.0524773\pi\)
\(702\) 359.741 173.242i 0.0193413 0.00931426i
\(703\) 17125.7 21475.0i 0.918790 1.15213i
\(704\) 1359.84 + 5957.87i 0.0727998 + 0.318957i
\(705\) −1778.14 7790.54i −0.0949909 0.416182i
\(706\) 1970.08 + 948.741i 0.105021 + 0.0505756i
\(707\) 20283.1 25434.2i 1.07896 1.35297i
\(708\) 2645.19 + 3316.97i 0.140413 + 0.176072i
\(709\) 11200.4 + 5393.83i 0.593286 + 0.285711i 0.706335 0.707878i \(-0.250347\pi\)
−0.113049 + 0.993589i \(0.536062\pi\)
\(710\) −1499.45 722.098i −0.0792584 0.0381688i
\(711\) 17318.0 + 21716.1i 0.913470 + 1.14546i
\(712\) 145.201 182.076i 0.00764274 0.00958369i
\(713\) 7120.02 + 3428.82i 0.373979 + 0.180099i
\(714\) −47.5810 208.466i −0.00249394 0.0109267i
\(715\) −1634.95 7163.19i −0.0855157 0.374669i
\(716\) −14792.7 + 18549.4i −0.772106 + 0.968191i
\(717\) 1121.94 540.299i 0.0584375 0.0281420i
\(718\) −53.1286 + 232.772i −0.00276148 + 0.0120988i
\(719\) −27966.8 + 13468.1i −1.45061 + 0.698575i −0.982700 0.185204i \(-0.940705\pi\)
−0.467905 + 0.883779i \(0.654991\pi\)
\(720\) −16346.3 20497.6i −0.846099 1.06098i
\(721\) 4502.23 + 19725.6i 0.232555 + 1.01889i
\(722\) −272.887 342.190i −0.0140662 0.0176385i
\(723\) −236.178 + 1034.76i −0.0121487 + 0.0532271i
\(724\) −33851.7 −1.73769
\(725\) −25897.6 −1.32664
\(726\) 53.2077 233.118i 0.00272000 0.0119171i
\(727\) −17022.5 + 21345.5i −0.868403 + 1.08894i 0.126879 + 0.991918i \(0.459504\pi\)
−0.995282 + 0.0970246i \(0.969067\pi\)
\(728\) −3011.79 1450.40i −0.153330 0.0738399i
\(729\) 13355.8 6431.84i 0.678547 0.326771i
\(730\) 1559.91 0.0790891
\(731\) −8063.32 + 5931.57i −0.407979 + 0.300119i
\(732\) 1238.88 0.0625553
\(733\) 4358.01 2098.71i 0.219600 0.105754i −0.320850 0.947130i \(-0.603968\pi\)
0.540450 + 0.841376i \(0.318254\pi\)
\(734\) −255.315 122.953i −0.0128390 0.00618294i
\(735\) −5819.02 + 7296.82i −0.292024 + 0.366187i
\(736\) 989.011 4333.14i 0.0495318 0.217013i
\(737\) 8753.94 0.437525
\(738\) 2156.64 0.107571
\(739\) 1738.97 7618.93i 0.0865617 0.379251i −0.913028 0.407897i \(-0.866262\pi\)
0.999590 + 0.0286455i \(0.00911940\pi\)
\(740\) −22868.3 28676.0i −1.13602 1.42453i
\(741\) 853.368 + 3738.85i 0.0423067 + 0.185358i
\(742\) 497.789 + 624.208i 0.0246286 + 0.0308833i
\(743\) 19163.3 9228.55i 0.946208 0.455670i 0.103853 0.994593i \(-0.466883\pi\)
0.842355 + 0.538923i \(0.181169\pi\)
\(744\) −46.0812 + 201.895i −0.00227072 + 0.00994869i
\(745\) −12485.4 + 6012.67i −0.614001 + 0.295687i
\(746\) 140.775 176.527i 0.00690905 0.00866368i
\(747\) 727.047 + 3185.40i 0.0356108 + 0.156021i
\(748\) 771.472 + 3380.04i 0.0377110 + 0.165223i
\(749\) −13680.8 6588.34i −0.667406 0.321406i
\(750\) 16.2191 20.3381i 0.000789649 0.000990189i
\(751\) 9005.05 + 11292.0i 0.437548 + 0.548668i 0.950895 0.309513i \(-0.100166\pi\)
−0.513347 + 0.858181i \(0.671595\pi\)
\(752\) 26376.5 + 12702.2i 1.27906 + 0.615961i
\(753\) 324.189 + 156.121i 0.0156894 + 0.00755561i
\(754\) 854.806 + 1071.89i 0.0412867 + 0.0517719i
\(755\) 11025.6 13825.7i 0.531474 0.666447i
\(756\) 12102.3 + 5828.17i 0.582218 + 0.280381i
\(757\) −5386.36 23599.2i −0.258614 1.13306i −0.922735 0.385436i \(-0.874051\pi\)
0.664121 0.747625i \(-0.268806\pi\)
\(758\) −57.0991 250.167i −0.00273606 0.0119875i
\(759\) −1012.23 + 1269.30i −0.0484080 + 0.0607017i
\(760\) −4177.33 + 2011.69i −0.199378 + 0.0960156i
\(761\) 6379.28 27949.5i 0.303875 1.33136i −0.560349 0.828256i \(-0.689333\pi\)
0.864224 0.503107i \(-0.167810\pi\)
\(762\) 121.439 58.4820i 0.00577332 0.00278029i
\(763\) −32233.0 40418.9i −1.52938 1.91778i
\(764\) −1926.60 8440.99i −0.0912330 0.399718i
\(765\) −9189.77 11523.6i −0.434323 0.544623i
\(766\) −452.204 + 1981.24i −0.0213300 + 0.0934530i
\(767\) 18518.6 0.871798
\(768\) −4200.90 −0.197379
\(769\) 5921.18 25942.4i 0.277664 1.21652i −0.623075 0.782162i \(-0.714117\pi\)
0.900739 0.434362i \(-0.143026\pi\)
\(770\) −689.289 + 864.341i −0.0322601 + 0.0404529i
\(771\) 907.211 + 436.890i 0.0423767 + 0.0204075i