Properties

Label 128.3.l.a.3.1
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.1
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.99185 - 0.180370i) q^{2} +(1.05127 - 0.862751i) q^{3} +(3.93493 + 0.718539i) q^{4} +(-7.90123 - 2.39681i) q^{5} +(-2.24958 + 1.52885i) q^{6} +(1.29801 + 6.52556i) q^{7} +(-7.70819 - 2.14097i) q^{8} +(-1.39499 + 7.01311i) q^{9} +O(q^{10})\) \(q+(-1.99185 - 0.180370i) q^{2} +(1.05127 - 0.862751i) q^{3} +(3.93493 + 0.718539i) q^{4} +(-7.90123 - 2.39681i) q^{5} +(-2.24958 + 1.52885i) q^{6} +(1.29801 + 6.52556i) q^{7} +(-7.70819 - 2.14097i) q^{8} +(-1.39499 + 7.01311i) q^{9} +(15.3057 + 6.19923i) q^{10} +(0.0388787 + 0.394742i) q^{11} +(4.75658 - 2.63949i) q^{12} +(-1.94755 - 6.42020i) q^{13} +(-1.40844 - 13.2321i) q^{14} +(-10.3741 + 4.29711i) q^{15} +(14.9674 + 5.65481i) q^{16} +(-11.7599 + 28.3908i) q^{17} +(4.04357 - 13.7174i) q^{18} +(-7.55037 + 14.1257i) q^{19} +(-29.3686 - 15.1086i) q^{20} +(6.99449 + 5.74023i) q^{21} +(-0.00624099 - 0.793280i) q^{22} +(-19.3042 + 12.8987i) q^{23} +(-9.95048 + 4.39953i) q^{24} +(35.8979 + 23.9862i) q^{25} +(2.72121 + 13.1394i) q^{26} +(10.3538 + 19.3706i) q^{27} +(0.418730 + 26.6103i) q^{28} +(2.58223 - 26.2178i) q^{29} +(21.4388 - 6.68801i) q^{30} +(-40.1489 - 40.1489i) q^{31} +(-28.7929 - 13.9632i) q^{32} +(0.381436 + 0.381436i) q^{33} +(28.5447 - 54.4291i) q^{34} +(5.38462 - 54.6710i) q^{35} +(-10.5284 + 26.5938i) q^{36} +(19.9517 + 37.3269i) q^{37} +(17.5871 - 26.7745i) q^{38} +(-7.58643 - 5.06909i) q^{39} +(55.7727 + 35.3913i) q^{40} +(24.1411 - 16.1305i) q^{41} +(-12.8966 - 12.6953i) q^{42} +(-38.9814 - 31.9912i) q^{43} +(-0.130653 + 1.58122i) q^{44} +(27.8313 - 52.0686i) q^{45} +(40.7776 - 22.2103i) q^{46} +(18.1618 - 43.8464i) q^{47} +(20.6134 - 6.96844i) q^{48} +(4.37204 - 1.81096i) q^{49} +(-67.1769 - 54.2519i) q^{50} +(12.1315 + 39.9921i) q^{51} +(-3.05030 - 26.6625i) q^{52} +(2.86524 + 29.0913i) q^{53} +(-17.1293 - 40.4508i) q^{54} +(0.638933 - 3.21213i) q^{55} +(3.96565 - 53.0793i) q^{56} +(4.24956 + 21.3640i) q^{57} +(-9.87231 + 51.7561i) q^{58} +(58.5036 + 17.7469i) q^{59} +(-43.9092 + 9.45461i) q^{60} +(-54.0901 + 44.3906i) q^{61} +(72.7290 + 87.2123i) q^{62} -47.5752 q^{63} +(54.8325 + 33.0060i) q^{64} +55.3954i q^{65} +(-0.690964 - 0.828563i) q^{66} +(-25.5848 - 31.1751i) q^{67} +(-66.6741 + 103.266i) q^{68} +(-9.16551 + 30.2146i) q^{69} +(-20.5864 + 107.925i) q^{70} +(-5.17915 + 1.03020i) q^{71} +(25.7677 - 51.0718i) q^{72} +(-26.9577 - 5.36223i) q^{73} +(-33.0080 - 77.9483i) q^{74} +(58.4324 - 5.75509i) q^{75} +(-39.8601 + 50.1586i) q^{76} +(-2.52545 + 0.766086i) q^{77} +(14.1967 + 11.4652i) q^{78} +(17.2775 + 41.7116i) q^{79} +(-104.707 - 80.5540i) q^{80} +(-31.8593 - 13.1965i) q^{81} +(-50.9948 + 27.7753i) q^{82} +(-47.4557 - 25.3656i) q^{83} +(23.3983 + 27.6132i) q^{84} +(160.965 - 196.136i) q^{85} +(71.8748 + 70.7527i) q^{86} +(-19.9048 - 29.7897i) q^{87} +(0.545445 - 3.12599i) q^{88} +(-13.9882 + 20.9348i) q^{89} +(-64.8273 + 98.6930i) q^{90} +(39.3675 - 21.0423i) q^{91} +(-85.2290 + 36.8846i) q^{92} +(-76.8457 - 7.56864i) q^{93} +(-44.0841 + 84.0596i) q^{94} +(93.5139 - 93.5139i) q^{95} +(-42.3157 + 10.1621i) q^{96} +(56.7531 - 56.7531i) q^{97} +(-9.03510 + 2.81858i) q^{98} +(-2.82260 - 0.278002i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.99185 0.180370i −0.995925 0.0901849i
\(3\) 1.05127 0.862751i 0.350422 0.287584i −0.442672 0.896684i \(-0.645969\pi\)
0.793093 + 0.609100i \(0.208469\pi\)
\(4\) 3.93493 + 0.718539i 0.983733 + 0.179635i
\(5\) −7.90123 2.39681i −1.58025 0.479362i −0.626360 0.779534i \(-0.715456\pi\)
−0.953885 + 0.300172i \(0.902956\pi\)
\(6\) −2.24958 + 1.52885i −0.374929 + 0.254809i
\(7\) 1.29801 + 6.52556i 0.185431 + 0.932222i 0.955664 + 0.294460i \(0.0951398\pi\)
−0.770233 + 0.637762i \(0.779860\pi\)
\(8\) −7.70819 2.14097i −0.963524 0.267621i
\(9\) −1.39499 + 7.01311i −0.154999 + 0.779234i
\(10\) 15.3057 + 6.19923i 1.53057 + 0.619923i
\(11\) 0.0388787 + 0.394742i 0.00353443 + 0.0358856i 0.996790 0.0800584i \(-0.0255107\pi\)
−0.993256 + 0.115944i \(0.963011\pi\)
\(12\) 4.75658 2.63949i 0.396382 0.219958i
\(13\) −1.94755 6.42020i −0.149811 0.493862i 0.849627 0.527385i \(-0.176827\pi\)
−0.999438 + 0.0335229i \(0.989327\pi\)
\(14\) −1.40844 13.2321i −0.100603 0.945147i
\(15\) −10.3741 + 4.29711i −0.691609 + 0.286474i
\(16\) 14.9674 + 5.65481i 0.935463 + 0.353426i
\(17\) −11.7599 + 28.3908i −0.691756 + 1.67005i 0.0494563 + 0.998776i \(0.484251\pi\)
−0.741212 + 0.671271i \(0.765749\pi\)
\(18\) 4.04357 13.7174i 0.224643 0.762080i
\(19\) −7.55037 + 14.1257i −0.397388 + 0.743460i −0.998445 0.0557458i \(-0.982246\pi\)
0.601057 + 0.799206i \(0.294746\pi\)
\(20\) −29.3686 15.1086i −1.46843 0.755432i
\(21\) 6.99449 + 5.74023i 0.333071 + 0.273344i
\(22\) −0.00624099 0.793280i −0.000283681 0.0360582i
\(23\) −19.3042 + 12.8987i −0.839314 + 0.560812i −0.899272 0.437389i \(-0.855903\pi\)
0.0599585 + 0.998201i \(0.480903\pi\)
\(24\) −9.95048 + 4.39953i −0.414603 + 0.183314i
\(25\) 35.8979 + 23.9862i 1.43592 + 0.959449i
\(26\) 2.72121 + 13.1394i 0.104662 + 0.505360i
\(27\) 10.3538 + 19.3706i 0.383474 + 0.717429i
\(28\) 0.418730 + 26.6103i 0.0149546 + 0.950368i
\(29\) 2.58223 26.2178i 0.0890423 0.904062i −0.842080 0.539353i \(-0.818669\pi\)
0.931122 0.364708i \(-0.118831\pi\)
\(30\) 21.4388 6.68801i 0.714626 0.222934i
\(31\) −40.1489 40.1489i −1.29513 1.29513i −0.931573 0.363553i \(-0.881563\pi\)
−0.363553 0.931573i \(-0.618437\pi\)
\(32\) −28.7929 13.9632i −0.899777 0.436350i
\(33\) 0.381436 + 0.381436i 0.0115587 + 0.0115587i
\(34\) 28.5447 54.4291i 0.839550 1.60086i
\(35\) 5.38462 54.6710i 0.153846 1.56203i
\(36\) −10.5284 + 26.5938i −0.292456 + 0.738715i
\(37\) 19.9517 + 37.3269i 0.539234 + 1.00884i 0.993045 + 0.117738i \(0.0375641\pi\)
−0.453811 + 0.891098i \(0.649936\pi\)
\(38\) 17.5871 26.7745i 0.462817 0.704592i
\(39\) −7.58643 5.06909i −0.194524 0.129977i
\(40\) 55.7727 + 35.3913i 1.39432 + 0.884783i
\(41\) 24.1411 16.1305i 0.588806 0.393428i −0.225175 0.974318i \(-0.572295\pi\)
0.813982 + 0.580890i \(0.197295\pi\)
\(42\) −12.8966 12.6953i −0.307062 0.302268i
\(43\) −38.9814 31.9912i −0.906544 0.743981i 0.0606133 0.998161i \(-0.480694\pi\)
−0.967157 + 0.254180i \(0.918194\pi\)
\(44\) −0.130653 + 1.58122i −0.00296938 + 0.0359368i
\(45\) 27.8313 52.0686i 0.618472 1.15708i
\(46\) 40.7776 22.2103i 0.886470 0.482833i
\(47\) 18.1618 43.8464i 0.386421 0.932902i −0.604271 0.796779i \(-0.706536\pi\)
0.990692 0.136123i \(-0.0434643\pi\)
\(48\) 20.6134 6.96844i 0.429446 0.145176i
\(49\) 4.37204 1.81096i 0.0892254 0.0369584i
\(50\) −67.1769 54.2519i −1.34354 1.08504i
\(51\) 12.1315 + 39.9921i 0.237872 + 0.784158i
\(52\) −3.05030 26.6625i −0.0586596 0.512740i
\(53\) 2.86524 + 29.0913i 0.0540611 + 0.548892i 0.983625 + 0.180230i \(0.0576840\pi\)
−0.929563 + 0.368662i \(0.879816\pi\)
\(54\) −17.1293 40.4508i −0.317210 0.749089i
\(55\) 0.638933 3.21213i 0.0116170 0.0584024i
\(56\) 3.96565 53.0793i 0.0708152 0.947844i
\(57\) 4.24956 + 21.3640i 0.0745537 + 0.374807i
\(58\) −9.87231 + 51.7561i −0.170212 + 0.892347i
\(59\) 58.5036 + 17.7469i 0.991586 + 0.300794i 0.744079 0.668092i \(-0.232889\pi\)
0.247507 + 0.968886i \(0.420389\pi\)
\(60\) −43.9092 + 9.45461i −0.731820 + 0.157577i
\(61\) −54.0901 + 44.3906i −0.886723 + 0.727715i −0.963037 0.269369i \(-0.913185\pi\)
0.0763143 + 0.997084i \(0.475685\pi\)
\(62\) 72.7290 + 87.2123i 1.17305 + 1.40665i
\(63\) −47.5752 −0.755161
\(64\) 54.8325 + 33.0060i 0.856758 + 0.515718i
\(65\) 55.3954i 0.852237i
\(66\) −0.690964 0.828563i −0.0104691 0.0125540i
\(67\) −25.5848 31.1751i −0.381862 0.465301i 0.546238 0.837630i \(-0.316059\pi\)
−0.928101 + 0.372329i \(0.878559\pi\)
\(68\) −66.6741 + 103.266i −0.980502 + 1.51862i
\(69\) −9.16551 + 30.2146i −0.132834 + 0.437893i
\(70\) −20.5864 + 107.925i −0.294091 + 1.54179i
\(71\) −5.17915 + 1.03020i −0.0729458 + 0.0145098i −0.231428 0.972852i \(-0.574340\pi\)
0.158482 + 0.987362i \(0.449340\pi\)
\(72\) 25.7677 51.0718i 0.357885 0.709330i
\(73\) −26.9577 5.36223i −0.369284 0.0734552i 0.00695986 0.999976i \(-0.497785\pi\)
−0.376244 + 0.926521i \(0.622785\pi\)
\(74\) −33.0080 77.9483i −0.446055 1.05336i
\(75\) 58.4324 5.75509i 0.779099 0.0767345i
\(76\) −39.8601 + 50.1586i −0.524475 + 0.659982i
\(77\) −2.52545 + 0.766086i −0.0327980 + 0.00994917i
\(78\) 14.1967 + 11.4652i 0.182009 + 0.146990i
\(79\) 17.2775 + 41.7116i 0.218703 + 0.527995i 0.994709 0.102730i \(-0.0327576\pi\)
−0.776007 + 0.630725i \(0.782758\pi\)
\(80\) −104.707 80.5540i −1.30884 1.00692i
\(81\) −31.8593 13.1965i −0.393324 0.162920i
\(82\) −50.9948 + 27.7753i −0.621888 + 0.338723i
\(83\) −47.4557 25.3656i −0.571756 0.305610i 0.160065 0.987106i \(-0.448829\pi\)
−0.731821 + 0.681497i \(0.761329\pi\)
\(84\) 23.3983 + 27.6132i 0.278551 + 0.328729i
\(85\) 160.965 196.136i 1.89370 2.30748i
\(86\) 71.8748 + 70.7527i 0.835754 + 0.822706i
\(87\) −19.9048 29.7897i −0.228791 0.342410i
\(88\) 0.545445 3.12599i 0.00619823 0.0355226i
\(89\) −13.9882 + 20.9348i −0.157171 + 0.235223i −0.901695 0.432373i \(-0.857676\pi\)
0.744524 + 0.667596i \(0.232676\pi\)
\(90\) −64.8273 + 98.6930i −0.720303 + 1.09659i
\(91\) 39.3675 21.0423i 0.432609 0.231235i
\(92\) −85.2290 + 36.8846i −0.926402 + 0.400919i
\(93\) −76.8457 7.56864i −0.826298 0.0813832i
\(94\) −44.0841 + 84.0596i −0.468980 + 0.894251i
\(95\) 93.5139 93.5139i 0.984357 0.984357i
\(96\) −42.3157 + 10.1621i −0.440789 + 0.105855i
\(97\) 56.7531 56.7531i 0.585084 0.585084i −0.351212 0.936296i \(-0.614230\pi\)
0.936296 + 0.351212i \(0.114230\pi\)
\(98\) −9.03510 + 2.81858i −0.0921949 + 0.0287610i
\(99\) −2.82260 0.278002i −0.0285112 0.00280810i
\(100\) 124.021 + 120.178i 1.24021 + 1.20178i
\(101\) 31.6797 16.9332i 0.313661 0.167655i −0.307053 0.951692i \(-0.599343\pi\)
0.620714 + 0.784037i \(0.286843\pi\)
\(102\) −16.9507 81.8464i −0.166183 0.802415i
\(103\) −111.280 + 166.542i −1.08039 + 1.61691i −0.345926 + 0.938262i \(0.612435\pi\)
−0.734461 + 0.678651i \(0.762565\pi\)
\(104\) 1.26664 + 53.6578i 0.0121792 + 0.515941i
\(105\) −41.5068 62.1193i −0.395303 0.591612i
\(106\) −0.459941 58.4622i −0.00433907 0.551530i
\(107\) −75.5164 + 92.0170i −0.705761 + 0.859972i −0.995264 0.0972047i \(-0.969010\pi\)
0.289503 + 0.957177i \(0.406510\pi\)
\(108\) 26.8230 + 83.6616i 0.248361 + 0.774644i
\(109\) 22.5115 + 12.0326i 0.206527 + 0.110391i 0.571418 0.820659i \(-0.306394\pi\)
−0.364890 + 0.931050i \(0.618894\pi\)
\(110\) −1.85203 + 6.28284i −0.0168366 + 0.0571167i
\(111\) 53.1783 + 22.0272i 0.479084 + 0.198443i
\(112\) −17.4729 + 105.011i −0.156008 + 0.937595i
\(113\) 67.3042 + 162.487i 0.595613 + 1.43794i 0.878012 + 0.478639i \(0.158870\pi\)
−0.282399 + 0.959297i \(0.591130\pi\)
\(114\) −4.61107 43.3204i −0.0404480 0.380003i
\(115\) 183.443 55.6467i 1.59515 0.483885i
\(116\) 28.9994 101.310i 0.249995 0.873361i
\(117\) 47.7424 4.70222i 0.408055 0.0401899i
\(118\) −113.329 45.9014i −0.960419 0.388995i
\(119\) −200.530 39.8879i −1.68513 0.335193i
\(120\) 89.1658 10.9123i 0.743048 0.0909356i
\(121\) 118.521 23.5752i 0.979510 0.194837i
\(122\) 115.746 78.6632i 0.948738 0.644780i
\(123\) 11.4620 37.7852i 0.0931871 0.307197i
\(124\) −129.135 186.832i −1.04141 1.50671i
\(125\) −95.1964 115.997i −0.761572 0.927978i
\(126\) 94.7626 + 8.58112i 0.752084 + 0.0681041i
\(127\) 151.538i 1.19322i 0.802533 + 0.596608i \(0.203485\pi\)
−0.802533 + 0.596608i \(0.796515\pi\)
\(128\) −103.265 75.6331i −0.806757 0.590883i
\(129\) −68.5802 −0.531629
\(130\) 9.99166 110.339i 0.0768589 0.848764i
\(131\) 163.916 134.522i 1.25127 1.02689i 0.253035 0.967457i \(-0.418571\pi\)
0.998232 0.0594319i \(-0.0189289\pi\)
\(132\) 1.22685 + 1.77500i 0.00929431 + 0.0134470i
\(133\) −101.979 30.9349i −0.766758 0.232594i
\(134\) 45.3380 + 66.7109i 0.338343 + 0.497843i
\(135\) −35.3800 177.867i −0.262074 1.31754i
\(136\) 151.431 193.664i 1.11346 1.42400i
\(137\) −43.1225 + 216.792i −0.314763 + 1.58242i 0.422209 + 0.906498i \(0.361255\pi\)
−0.736973 + 0.675923i \(0.763745\pi\)
\(138\) 23.7061 58.5299i 0.171784 0.424129i
\(139\) 5.00138 + 50.7798i 0.0359811 + 0.365323i 0.996268 + 0.0863094i \(0.0275074\pi\)
−0.960287 + 0.279013i \(0.909993\pi\)
\(140\) 60.4714 211.258i 0.431939 1.50898i
\(141\) −18.7357 61.7633i −0.132877 0.438037i
\(142\) 10.5019 1.11784i 0.0739571 0.00787208i
\(143\) 2.45861 1.01839i 0.0171931 0.00712160i
\(144\) −60.5372 + 97.0796i −0.420397 + 0.674164i
\(145\) −83.2418 + 200.964i −0.574082 + 1.38596i
\(146\) 52.7286 + 15.5431i 0.361155 + 0.106460i
\(147\) 3.03377 5.67578i 0.0206379 0.0386108i
\(148\) 51.6876 + 161.215i 0.349240 + 1.08929i
\(149\) −1.25076 1.02647i −0.00839436 0.00688907i 0.630187 0.776444i \(-0.282978\pi\)
−0.638581 + 0.769555i \(0.720478\pi\)
\(150\) −117.427 + 0.923834i −0.782844 + 0.00615889i
\(151\) −12.6443 + 8.44864i −0.0837370 + 0.0559513i −0.596734 0.802439i \(-0.703535\pi\)
0.512997 + 0.858390i \(0.328535\pi\)
\(152\) 88.4424 92.7189i 0.581858 0.609993i
\(153\) −182.703 122.078i −1.19414 0.797896i
\(154\) 5.16849 1.07041i 0.0335616 0.00695074i
\(155\) 220.996 + 413.455i 1.42578 + 2.66745i
\(156\) −26.2097 25.3977i −0.168011 0.162806i
\(157\) 23.6835 240.463i 0.150850 1.53161i −0.560134 0.828402i \(-0.689250\pi\)
0.710984 0.703208i \(-0.248250\pi\)
\(158\) −26.8907 86.1996i −0.170194 0.545567i
\(159\) 28.1106 + 28.1106i 0.176796 + 0.176796i
\(160\) 194.032 + 179.337i 1.21270 + 1.12086i
\(161\) −109.228 109.228i −0.678436 0.678436i
\(162\) 61.0786 + 32.0320i 0.377028 + 0.197728i
\(163\) 5.78614 58.7476i 0.0354978 0.360415i −0.960984 0.276604i \(-0.910791\pi\)
0.996482 0.0838107i \(-0.0267091\pi\)
\(164\) 106.584 46.1263i 0.649902 0.281258i
\(165\) −2.09958 3.92804i −0.0127247 0.0238063i
\(166\) 89.9495 + 59.0841i 0.541865 + 0.355928i
\(167\) −49.9309 33.3628i −0.298988 0.199777i 0.397023 0.917809i \(-0.370043\pi\)
−0.696011 + 0.718032i \(0.745043\pi\)
\(168\) −41.6252 59.2218i −0.247769 0.352510i
\(169\) 103.092 68.8841i 0.610014 0.407598i
\(170\) −355.994 + 361.640i −2.09408 + 2.12730i
\(171\) −88.5326 72.6569i −0.517735 0.424894i
\(172\) −130.402 153.893i −0.758152 0.894726i
\(173\) −88.9182 + 166.354i −0.513978 + 0.961585i 0.482351 + 0.875978i \(0.339783\pi\)
−0.996329 + 0.0856071i \(0.972717\pi\)
\(174\) 34.2743 + 62.9268i 0.196978 + 0.361648i
\(175\) −109.928 + 265.389i −0.628157 + 1.51651i
\(176\) −1.65028 + 6.12812i −0.00937658 + 0.0348188i
\(177\) 76.8139 31.8174i 0.433977 0.179759i
\(178\) 31.6384 39.1760i 0.177744 0.220090i
\(179\) −2.50526 8.25873i −0.0139958 0.0461381i 0.949664 0.313269i \(-0.101424\pi\)
−0.963660 + 0.267131i \(0.913924\pi\)
\(180\) 146.927 184.889i 0.816264 1.02716i
\(181\) 9.30995 + 94.5256i 0.0514362 + 0.522241i 0.986035 + 0.166537i \(0.0532586\pi\)
−0.934599 + 0.355703i \(0.884241\pi\)
\(182\) −82.2095 + 34.8125i −0.451700 + 0.191277i
\(183\) −18.5650 + 93.3325i −0.101448 + 0.510014i
\(184\) 176.416 58.0958i 0.958784 0.315738i
\(185\) −68.1770 342.749i −0.368524 1.85270i
\(186\) 151.700 + 28.9362i 0.815591 + 0.155571i
\(187\) −11.6642 3.53831i −0.0623757 0.0189215i
\(188\) 102.971 159.483i 0.547717 0.848312i
\(189\) −112.964 + 92.7076i −0.597696 + 0.490516i
\(190\) −203.133 + 169.399i −1.06912 + 0.891571i
\(191\) 263.273 1.37839 0.689196 0.724575i \(-0.257964\pi\)
0.689196 + 0.724575i \(0.257964\pi\)
\(192\) 86.1195 12.6088i 0.448539 0.0656709i
\(193\) 221.333i 1.14681i 0.819274 + 0.573403i \(0.194377\pi\)
−0.819274 + 0.573403i \(0.805623\pi\)
\(194\) −123.280 + 102.807i −0.635465 + 0.529934i
\(195\) 47.7924 + 58.2352i 0.245089 + 0.298642i
\(196\) 18.5049 3.98452i 0.0944130 0.0203292i
\(197\) −3.32383 + 10.9572i −0.0168723 + 0.0556204i −0.964972 0.262352i \(-0.915502\pi\)
0.948100 + 0.317972i \(0.103002\pi\)
\(198\) 5.57206 + 1.06285i 0.0281417 + 0.00536794i
\(199\) −35.7966 + 7.12039i −0.179883 + 0.0357809i −0.284210 0.958762i \(-0.591731\pi\)
0.104327 + 0.994543i \(0.466731\pi\)
\(200\) −225.355 261.747i −1.12677 1.30873i
\(201\) −53.7928 10.7000i −0.267626 0.0532341i
\(202\) −66.1555 + 28.0143i −0.327503 + 0.138685i
\(203\) 174.437 17.1806i 0.859298 0.0846334i
\(204\) 19.0006 + 166.083i 0.0931403 + 0.814133i
\(205\) −229.406 + 69.5895i −1.11905 + 0.339461i
\(206\) 251.692 311.655i 1.22181 1.51289i
\(207\) −63.5305 153.376i −0.306910 0.740947i
\(208\) 7.15529 107.107i 0.0344004 0.514936i
\(209\) −5.86957 2.43126i −0.0280841 0.0116328i
\(210\) 71.4709 + 131.219i 0.340337 + 0.624852i
\(211\) −89.1592 47.6566i −0.422555 0.225861i 0.246392 0.969170i \(-0.420755\pi\)
−0.668947 + 0.743310i \(0.733255\pi\)
\(212\) −9.62869 + 116.531i −0.0454183 + 0.549674i
\(213\) −4.55586 + 5.55133i −0.0213890 + 0.0260626i
\(214\) 167.015 169.663i 0.780442 0.792819i
\(215\) 231.324 + 346.201i 1.07592 + 1.61024i
\(216\) −38.3373 171.479i −0.177487 0.793886i
\(217\) 209.880 314.108i 0.967190 1.44750i
\(218\) −42.6692 28.0276i −0.195730 0.128567i
\(219\) −32.9660 + 17.6207i −0.150530 + 0.0804598i
\(220\) 4.82220 12.1804i 0.0219191 0.0553656i
\(221\) 205.178 + 20.2082i 0.928405 + 0.0914399i
\(222\) −101.950 53.4666i −0.459235 0.240841i
\(223\) 294.768 294.768i 1.32183 1.32183i 0.409534 0.912295i \(-0.365691\pi\)
0.912295 0.409534i \(-0.134309\pi\)
\(224\) 53.7441 206.014i 0.239929 0.919705i
\(225\) −218.295 + 218.295i −0.970202 + 0.970202i
\(226\) −104.752 335.789i −0.463505 1.48579i
\(227\) −355.599 35.0235i −1.56652 0.154288i −0.722792 0.691066i \(-0.757142\pi\)
−0.843724 + 0.536777i \(0.819642\pi\)
\(228\) 1.37088 + 87.1193i 0.00601262 + 0.382102i
\(229\) −178.338 + 95.3238i −0.778770 + 0.416261i −0.812347 0.583175i \(-0.801810\pi\)
0.0335768 + 0.999436i \(0.489310\pi\)
\(230\) −375.427 + 77.7524i −1.63229 + 0.338054i
\(231\) −1.99397 + 2.98419i −0.00863192 + 0.0129186i
\(232\) −76.0357 + 196.563i −0.327740 + 0.847256i
\(233\) 170.005 + 254.431i 0.729637 + 1.09198i 0.991905 + 0.126983i \(0.0405294\pi\)
−0.262268 + 0.964995i \(0.584471\pi\)
\(234\) −95.9438 + 0.754822i −0.410016 + 0.00322573i
\(235\) −248.592 + 302.910i −1.05784 + 1.28898i
\(236\) 217.456 + 111.870i 0.921423 + 0.474025i
\(237\) 54.1500 + 28.9438i 0.228481 + 0.122126i
\(238\) 392.232 + 115.620i 1.64803 + 0.485800i
\(239\) 1.38267 + 0.572721i 0.00578524 + 0.00239632i 0.385574 0.922677i \(-0.374003\pi\)
−0.379789 + 0.925073i \(0.624003\pi\)
\(240\) −179.573 + 5.65279i −0.748222 + 0.0235533i
\(241\) −5.09900 12.3101i −0.0211577 0.0510791i 0.912948 0.408077i \(-0.133800\pi\)
−0.934105 + 0.356998i \(0.883800\pi\)
\(242\) −240.328 + 25.5808i −0.993090 + 0.105706i
\(243\) −234.043 + 70.9961i −0.963138 + 0.292165i
\(244\) −244.737 + 135.808i −1.00302 + 0.556591i
\(245\) −38.8850 + 3.82984i −0.158714 + 0.0156320i
\(246\) −29.6459 + 73.1951i −0.120512 + 0.297541i
\(247\) 105.395 + 20.9643i 0.426700 + 0.0848759i
\(248\) 223.518 + 395.433i 0.901283 + 1.59449i
\(249\) −71.7728 + 14.2765i −0.288244 + 0.0573353i
\(250\) 168.695 + 248.220i 0.674779 + 0.992878i
\(251\) 54.3380 179.128i 0.216486 0.713659i −0.779680 0.626178i \(-0.784618\pi\)
0.996166 0.0874809i \(-0.0278817\pi\)
\(252\) −187.205 34.1846i −0.742877 0.135653i
\(253\) −5.84217 7.11870i −0.0230916 0.0281372i
\(254\) 27.3329 301.842i 0.107610 1.18835i
\(255\) 345.063i 1.35319i
\(256\) 192.046 + 169.276i 0.750181 + 0.661233i
\(257\) 20.9577 0.0815473 0.0407736 0.999168i \(-0.487018\pi\)
0.0407736 + 0.999168i \(0.487018\pi\)
\(258\) 136.601 + 12.3698i 0.529463 + 0.0479449i
\(259\) −217.681 + 178.646i −0.840469 + 0.689755i
\(260\) −39.8038 + 217.977i −0.153091 + 0.838374i
\(261\) 180.266 + 54.6831i 0.690674 + 0.209514i
\(262\) −350.760 + 238.383i −1.33878 + 0.909859i
\(263\) −5.70349 28.6734i −0.0216863 0.109024i 0.968426 0.249301i \(-0.0802008\pi\)
−0.990112 + 0.140277i \(0.955201\pi\)
\(264\) −2.12354 3.75682i −0.00804372 0.0142304i
\(265\) 47.0873 236.724i 0.177688 0.893298i
\(266\) 197.547 + 80.0117i 0.742657 + 0.300796i
\(267\) 3.35623 + 34.0764i 0.0125702 + 0.127627i
\(268\) −78.2738 141.056i −0.292067 0.526328i
\(269\) 44.2491 + 145.870i 0.164495 + 0.542267i 0.999974 0.00725570i \(-0.00230958\pi\)
−0.835479 + 0.549523i \(0.814810\pi\)
\(270\) 38.3898 + 360.667i 0.142184 + 1.33580i
\(271\) 24.1334 9.99637i 0.0890530 0.0368870i −0.337712 0.941249i \(-0.609653\pi\)
0.426765 + 0.904362i \(0.359653\pi\)
\(272\) −336.559 + 358.437i −1.23735 + 1.31778i
\(273\) 23.2313 56.0854i 0.0850965 0.205441i
\(274\) 124.996 424.039i 0.456191 1.54759i
\(275\) −8.07271 + 15.1030i −0.0293553 + 0.0549199i
\(276\) −57.7761 + 112.307i −0.209334 + 0.406909i
\(277\) 290.519 + 238.423i 1.04881 + 0.860733i 0.990493 0.137566i \(-0.0439278\pi\)
0.0583132 + 0.998298i \(0.481428\pi\)
\(278\) −0.802845 102.048i −0.00288793 0.367079i
\(279\) 337.576 225.561i 1.20995 0.808463i
\(280\) −158.554 + 409.886i −0.566266 + 1.46388i
\(281\) 155.472 + 103.883i 0.553280 + 0.369690i 0.800558 0.599255i \(-0.204536\pi\)
−0.247279 + 0.968944i \(0.579536\pi\)
\(282\) 26.1784 + 126.403i 0.0928314 + 0.448236i
\(283\) −241.302 451.444i −0.852657 1.59521i −0.802642 0.596461i \(-0.796573\pi\)
−0.0500154 0.998748i \(-0.515927\pi\)
\(284\) −21.1199 + 0.332334i −0.0743657 + 0.00117019i
\(285\) 17.6287 178.987i 0.0618551 0.628025i
\(286\) −5.08086 + 1.58502i −0.0177653 + 0.00554202i
\(287\) 136.596 + 136.596i 0.475945 + 0.475945i
\(288\) 138.091 182.449i 0.479484 0.633503i
\(289\) −463.389 463.389i −1.60342 1.60342i
\(290\) 202.053 385.275i 0.696735 1.32853i
\(291\) 10.6988 108.626i 0.0367655 0.373286i
\(292\) −102.224 40.4702i −0.350082 0.138597i
\(293\) 109.137 + 204.180i 0.372480 + 0.696860i 0.996414 0.0846168i \(-0.0269666\pi\)
−0.623934 + 0.781477i \(0.714467\pi\)
\(294\) −7.06655 + 10.7581i −0.0240359 + 0.0365922i
\(295\) −419.714 280.444i −1.42276 0.950658i
\(296\) −73.8756 330.439i −0.249580 1.11635i
\(297\) −7.24384 + 4.84018i −0.0243900 + 0.0162969i
\(298\) 2.30618 + 2.27018i 0.00773886 + 0.00761804i
\(299\) 120.408 + 98.8162i 0.402702 + 0.330489i
\(300\) 234.063 + 19.3401i 0.780210 + 0.0644669i
\(301\) 158.162 295.900i 0.525455 0.983057i
\(302\) 26.7094 14.5478i 0.0884417 0.0481715i
\(303\) 18.6947 45.1330i 0.0616987 0.148954i
\(304\) −192.888 + 168.730i −0.634499 + 0.555032i
\(305\) 533.774 221.096i 1.75008 0.724906i
\(306\) 341.897 + 276.115i 1.11731 + 0.902338i
\(307\) −28.3067 93.3145i −0.0922041 0.303956i 0.898693 0.438578i \(-0.144518\pi\)
−0.990897 + 0.134622i \(0.957018\pi\)
\(308\) −10.4879 + 1.19986i −0.0340517 + 0.00389566i
\(309\) 26.6997 + 271.087i 0.0864068 + 0.877303i
\(310\) −365.617 863.402i −1.17941 2.78517i
\(311\) −38.1368 + 191.727i −0.122626 + 0.616485i 0.869776 + 0.493447i \(0.164263\pi\)
−0.992402 + 0.123037i \(0.960737\pi\)
\(312\) 47.6249 + 55.3158i 0.152644 + 0.177294i
\(313\) −45.1858 227.165i −0.144364 0.725765i −0.983366 0.181637i \(-0.941860\pi\)
0.839002 0.544128i \(-0.183140\pi\)
\(314\) −90.5463 + 474.694i −0.288364 + 1.51176i
\(315\) 375.902 + 114.029i 1.19334 + 0.361996i
\(316\) 38.0145 + 176.547i 0.120299 + 0.558693i
\(317\) 207.301 170.127i 0.653946 0.536679i −0.247874 0.968792i \(-0.579732\pi\)
0.901819 + 0.432113i \(0.142232\pi\)
\(318\) −50.9219 61.0625i −0.160132 0.192020i
\(319\) 10.4497 0.0327575
\(320\) −354.135 392.211i −1.10667 1.22566i
\(321\) 161.886i 0.504318i
\(322\) 197.865 + 237.267i 0.614486 + 0.736856i
\(323\) −312.250 380.478i −0.966718 1.17795i
\(324\) −115.882 74.8196i −0.357660 0.230925i
\(325\) 84.0836 277.186i 0.258719 0.852881i
\(326\) −22.1214 + 115.973i −0.0678571 + 0.355745i
\(327\) 34.0467 6.77231i 0.104118 0.0207104i
\(328\) −220.619 + 72.6522i −0.672619 + 0.221501i
\(329\) 309.696 + 61.6024i 0.941326 + 0.187241i
\(330\) 3.47355 + 8.20277i 0.0105259 + 0.0248569i
\(331\) −213.232 + 21.0015i −0.644205 + 0.0634487i −0.414844 0.909893i \(-0.636164\pi\)
−0.229362 + 0.973341i \(0.573664\pi\)
\(332\) −168.509 133.911i −0.507557 0.403346i
\(333\) −289.610 + 87.8523i −0.869700 + 0.263821i
\(334\) 93.4373 + 75.4597i 0.279752 + 0.225927i
\(335\) 127.430 + 307.644i 0.380389 + 0.918340i
\(336\) 72.2294 + 125.469i 0.214969 + 0.373419i
\(337\) −124.559 51.5942i −0.369612 0.153098i 0.190143 0.981756i \(-0.439105\pi\)
−0.559755 + 0.828658i \(0.689105\pi\)
\(338\) −217.769 + 118.612i −0.644287 + 0.350923i
\(339\) 210.940 + 112.750i 0.622242 + 0.332596i
\(340\) 774.317 656.123i 2.27740 1.92977i
\(341\) 14.2875 17.4094i 0.0418989 0.0510540i
\(342\) 163.239 + 160.690i 0.477306 + 0.469854i
\(343\) 198.618 + 297.252i 0.579060 + 0.866625i
\(344\) 231.984 + 330.052i 0.674372 + 0.959454i
\(345\) 144.838 216.765i 0.419819 0.628304i
\(346\) 207.117 315.315i 0.598604 0.911314i
\(347\) 21.3578 11.4160i 0.0615500 0.0328992i −0.440335 0.897834i \(-0.645140\pi\)
0.501885 + 0.864935i \(0.332640\pi\)
\(348\) −56.9191 131.523i −0.163561 0.377939i
\(349\) −537.213 52.9109i −1.53929 0.151607i −0.707508 0.706705i \(-0.750181\pi\)
−0.831785 + 0.555098i \(0.812681\pi\)
\(350\) 266.827 508.787i 0.762363 1.45368i
\(351\) 104.199 104.199i 0.296862 0.296862i
\(352\) 4.39243 11.9086i 0.0124785 0.0338313i
\(353\) −60.9968 + 60.9968i −0.172796 + 0.172796i −0.788206 0.615411i \(-0.788990\pi\)
0.615411 + 0.788206i \(0.288990\pi\)
\(354\) −158.741 + 49.5205i −0.448420 + 0.139888i
\(355\) 43.3908 + 4.27362i 0.122228 + 0.0120384i
\(356\) −70.0852 + 72.3261i −0.196869 + 0.203163i
\(357\) −245.224 + 131.075i −0.686901 + 0.367156i
\(358\) 3.50047 + 16.9020i 0.00977785 + 0.0472123i
\(359\) −14.6590 + 21.9388i −0.0408329 + 0.0611107i −0.851324 0.524640i \(-0.824200\pi\)
0.810492 + 0.585750i \(0.199200\pi\)
\(360\) −326.006 + 341.769i −0.905572 + 0.949359i
\(361\) 58.0323 + 86.8515i 0.160754 + 0.240586i
\(362\) −1.49448 189.960i −0.00412839 0.524751i
\(363\) 104.257 127.038i 0.287210 0.349966i
\(364\) 170.028 54.5132i 0.467110 0.149761i
\(365\) 200.147 + 106.981i 0.548348 + 0.293098i
\(366\) 53.8131 182.556i 0.147030 0.498787i
\(367\) −371.232 153.769i −1.01153 0.418990i −0.185519 0.982641i \(-0.559396\pi\)
−0.826013 + 0.563650i \(0.809396\pi\)
\(368\) −361.873 + 83.8979i −0.983352 + 0.227983i
\(369\) 79.4486 + 191.806i 0.215308 + 0.519799i
\(370\) 73.9768 + 695.001i 0.199937 + 1.87838i
\(371\) −186.118 + 56.4581i −0.501664 + 0.152178i
\(372\) −296.944 84.9987i −0.798237 0.228491i
\(373\) 335.439 33.0378i 0.899299 0.0885733i 0.362208 0.932097i \(-0.382023\pi\)
0.537091 + 0.843524i \(0.319523\pi\)
\(374\) 22.5952 + 9.15166i 0.0604151 + 0.0244697i
\(375\) −200.153 39.8130i −0.533742 0.106168i
\(376\) −233.868 + 299.093i −0.621990 + 0.795460i
\(377\) −173.353 + 34.4820i −0.459821 + 0.0914641i
\(378\) 241.730 164.284i 0.639497 0.434614i
\(379\) 18.2903 60.2951i 0.0482594 0.159090i −0.929499 0.368825i \(-0.879760\pi\)
0.977758 + 0.209735i \(0.0672602\pi\)
\(380\) 435.164 300.778i 1.14517 0.791520i
\(381\) 130.740 + 159.307i 0.343149 + 0.418129i
\(382\) −524.400 47.4865i −1.37278 0.124310i
\(383\) 487.705i 1.27338i −0.771119 0.636691i \(-0.780303\pi\)
0.771119 0.636691i \(-0.219697\pi\)
\(384\) −173.811 + 9.58150i −0.452634 + 0.0249518i
\(385\) 21.7903 0.0565982
\(386\) 39.9219 440.863i 0.103425 1.14213i
\(387\) 278.736 228.753i 0.720249 0.591093i
\(388\) 264.099 182.540i 0.680668 0.470465i
\(389\) −411.191 124.733i −1.05705 0.320652i −0.286530 0.958071i \(-0.592502\pi\)
−0.770517 + 0.637420i \(0.780002\pi\)
\(390\) −84.6915 124.616i −0.217158 0.319529i
\(391\) −139.189 699.749i −0.355981 1.78964i
\(392\) −37.5778 + 4.59883i −0.0958616 + 0.0117317i
\(393\) 56.2599 282.838i 0.143155 0.719688i
\(394\) 8.59693 21.2256i 0.0218196 0.0538721i
\(395\) −36.5387 370.984i −0.0925031 0.939200i
\(396\) −10.9070 3.12207i −0.0275429 0.00788402i
\(397\) 181.368 + 597.889i 0.456846 + 1.50602i 0.818941 + 0.573877i \(0.194561\pi\)
−0.362096 + 0.932141i \(0.617939\pi\)
\(398\) 72.5858 7.72612i 0.182376 0.0194124i
\(399\) −133.896 + 55.4615i −0.335579 + 0.139001i
\(400\) 401.661 + 562.008i 1.00415 + 1.40502i
\(401\) 126.992 306.587i 0.316689 0.764555i −0.682736 0.730665i \(-0.739210\pi\)
0.999426 0.0338905i \(-0.0107898\pi\)
\(402\) 105.217 + 31.0155i 0.261734 + 0.0771529i
\(403\) −179.572 + 335.956i −0.445589 + 0.833638i
\(404\) 136.825 43.8678i 0.338675 0.108584i
\(405\) 220.098 + 180.629i 0.543451 + 0.445999i
\(406\) −350.552 + 2.75791i −0.863429 + 0.00679288i
\(407\) −13.9588 + 9.32698i −0.0342968 + 0.0229164i
\(408\) −7.89002 334.240i −0.0193383 0.819215i
\(409\) 570.748 + 381.362i 1.39547 + 0.932425i 0.999902 + 0.0139887i \(0.00445288\pi\)
0.395570 + 0.918436i \(0.370547\pi\)
\(410\) 469.494 97.2340i 1.14511 0.237156i
\(411\) 141.704 + 265.110i 0.344779 + 0.645035i
\(412\) −557.546 + 575.373i −1.35327 + 1.39654i
\(413\) −39.8697 + 404.804i −0.0965369 + 0.980156i
\(414\) 98.8787 + 316.961i 0.238838 + 0.765607i
\(415\) 314.162 + 314.162i 0.757017 + 0.757017i
\(416\) −33.5711 + 212.050i −0.0806998 + 0.509736i
\(417\) 49.0681 + 49.0681i 0.117669 + 0.117669i
\(418\) 11.2528 + 5.90139i 0.0269205 + 0.0141182i
\(419\) 28.3512 287.854i 0.0676639 0.687003i −0.900191 0.435495i \(-0.856573\pi\)
0.967855 0.251508i \(-0.0809266\pi\)
\(420\) −118.691 274.260i −0.282598 0.652999i
\(421\) 270.116 + 505.352i 0.641606 + 1.20036i 0.966999 + 0.254781i \(0.0820034\pi\)
−0.325393 + 0.945579i \(0.605497\pi\)
\(422\) 168.996 + 111.006i 0.400464 + 0.263048i
\(423\) 282.164 + 188.536i 0.667054 + 0.445711i
\(424\) 40.1976 230.375i 0.0948056 0.543338i
\(425\) −1103.14 + 737.096i −2.59563 + 1.73434i
\(426\) 10.0759 10.2357i 0.0236523 0.0240274i
\(427\) −359.883 295.348i −0.842817 0.691682i
\(428\) −363.270 + 307.819i −0.848762 + 0.719204i
\(429\) 1.70603 3.19176i 0.00397676 0.00744000i
\(430\) −398.318 731.303i −0.926322 1.70071i
\(431\) −307.517 + 742.411i −0.713496 + 1.72253i −0.0224206 + 0.999749i \(0.507137\pi\)
−0.691075 + 0.722783i \(0.742863\pi\)
\(432\) 45.4325 + 348.476i 0.105168 + 0.806658i
\(433\) −79.5989 + 32.9709i −0.183831 + 0.0761453i −0.472700 0.881223i \(-0.656721\pi\)
0.288869 + 0.957369i \(0.406721\pi\)
\(434\) −474.706 + 587.800i −1.09379 + 1.35438i
\(435\) 85.8723 + 283.083i 0.197408 + 0.650765i
\(436\) 79.9353 + 63.5230i 0.183338 + 0.145695i
\(437\) −36.4493 370.076i −0.0834080 0.846856i
\(438\) 68.8416 29.1517i 0.157173 0.0665564i
\(439\) −116.820 + 587.295i −0.266105 + 1.33780i 0.584242 + 0.811579i \(0.301392\pi\)
−0.850347 + 0.526222i \(0.823608\pi\)
\(440\) −11.8021 + 23.3918i −0.0268229 + 0.0531632i
\(441\) 6.60148 + 33.1879i 0.0149693 + 0.0752560i
\(442\) −405.038 77.2596i −0.916376 0.174795i
\(443\) −319.893 97.0384i −0.722106 0.219048i −0.0922226 0.995738i \(-0.529397\pi\)
−0.629883 + 0.776690i \(0.716897\pi\)
\(444\) 193.426 + 124.886i 0.435643 + 0.281275i
\(445\) 160.701 131.884i 0.361126 0.296368i
\(446\) −640.301 + 533.966i −1.43565 + 1.19723i
\(447\) −2.20047 −0.00492275
\(448\) −144.209 + 400.655i −0.321895 + 0.894319i
\(449\) 226.325i 0.504065i −0.967719 0.252032i \(-0.918901\pi\)
0.967719 0.252032i \(-0.0810990\pi\)
\(450\) 474.186 395.438i 1.05375 0.878751i
\(451\) 7.30598 + 8.90236i 0.0161995 + 0.0197392i
\(452\) 148.085 + 687.735i 0.327621 + 1.52154i
\(453\) −6.00342 + 19.7906i −0.0132526 + 0.0436879i
\(454\) 701.983 + 133.901i 1.54622 + 0.294936i
\(455\) −361.486 + 71.9040i −0.794474 + 0.158031i
\(456\) 12.9831 173.776i 0.0284717 0.381088i
\(457\) −343.170 68.2607i −0.750919 0.149367i −0.195230 0.980757i \(-0.562545\pi\)
−0.555689 + 0.831390i \(0.687545\pi\)
\(458\) 372.417 157.704i 0.813137 0.344332i
\(459\) −671.705 + 66.1572i −1.46341 + 0.144133i
\(460\) 761.819 87.1554i 1.65613 0.189468i
\(461\) −272.408 + 82.6341i −0.590907 + 0.179250i −0.571556 0.820563i \(-0.693660\pi\)
−0.0193510 + 0.999813i \(0.506160\pi\)
\(462\) 4.50995 5.58441i 0.00976180 0.0120875i
\(463\) −138.927 335.400i −0.300059 0.724405i −0.999948 0.0101547i \(-0.996768\pi\)
0.699890 0.714251i \(-0.253232\pi\)
\(464\) 186.906 377.810i 0.402814 0.814246i
\(465\) 589.035 + 243.986i 1.26674 + 0.524701i
\(466\) −292.733 537.452i −0.628183 1.15333i
\(467\) 465.110 + 248.606i 0.995953 + 0.532348i 0.887035 0.461703i \(-0.152761\pi\)
0.108918 + 0.994051i \(0.465261\pi\)
\(468\) 191.242 + 15.8019i 0.408636 + 0.0337647i
\(469\) 170.226 207.421i 0.362955 0.442262i
\(470\) 549.793 558.513i 1.16977 1.18832i
\(471\) −182.562 273.223i −0.387605 0.580092i
\(472\) −412.962 262.051i −0.874919 0.555192i
\(473\) 11.1127 16.6314i 0.0234941 0.0351614i
\(474\) −102.638 67.4187i −0.216536 0.142234i
\(475\) −609.866 + 325.980i −1.28393 + 0.686274i
\(476\) −760.412 301.045i −1.59750 0.632448i
\(477\) −208.017 20.4879i −0.436095 0.0429516i
\(478\) −2.65077 1.39017i −0.00554555 0.00290830i
\(479\) −594.791 + 594.791i −1.24173 + 1.24173i −0.282453 + 0.959281i \(0.591148\pi\)
−0.959281 + 0.282453i \(0.908852\pi\)
\(480\) 358.702 + 21.1301i 0.747297 + 0.0440210i
\(481\) 200.790 200.790i 0.417442 0.417442i
\(482\) 7.93607 + 25.4395i 0.0164649 + 0.0527791i
\(483\) −209.064 20.5910i −0.432846 0.0426316i
\(484\) 483.311 7.60520i 0.998576 0.0157132i
\(485\) −584.446 + 312.393i −1.20504 + 0.644109i
\(486\) 478.983 99.1993i 0.985563 0.204114i
\(487\) 233.449 349.381i 0.479361 0.717414i −0.510434 0.859917i \(-0.670515\pi\)
0.989794 + 0.142503i \(0.0455151\pi\)
\(488\) 511.976 226.366i 1.04913 0.463865i
\(489\) −44.6018 66.7513i −0.0912103 0.136506i
\(490\) 78.1439 0.614784i 0.159477 0.00125466i
\(491\) −301.407 + 367.266i −0.613864 + 0.747996i −0.983446 0.181202i \(-0.942001\pi\)
0.369582 + 0.929198i \(0.379501\pi\)
\(492\) 72.2524 140.446i 0.146855 0.285460i
\(493\) 713.977 + 381.629i 1.44823 + 0.774095i
\(494\) −206.149 60.7679i −0.417306 0.123012i
\(495\) 21.6357 + 8.96181i 0.0437085 + 0.0181047i
\(496\) −373.891 827.960i −0.753812 1.66927i
\(497\) −13.4452 32.4596i −0.0270528 0.0653111i
\(498\) 145.536 15.4910i 0.292240 0.0311064i
\(499\) −563.086 + 170.810i −1.12843 + 0.342305i −0.798676 0.601762i \(-0.794466\pi\)
−0.329754 + 0.944067i \(0.606966\pi\)
\(500\) −291.243 524.844i −0.582486 1.04969i
\(501\) −81.2744 + 8.00483i −0.162224 + 0.0159777i
\(502\) −140.543 + 346.996i −0.279965 + 0.691227i
\(503\) 555.595 + 110.515i 1.10456 + 0.219711i 0.713502 0.700654i \(-0.247108\pi\)
0.391061 + 0.920365i \(0.372108\pi\)
\(504\) 366.719 + 101.857i 0.727616 + 0.202097i
\(505\) −290.894 + 57.8625i −0.576029 + 0.114579i
\(506\) 10.3527 + 15.2331i 0.0204599 + 0.0301050i
\(507\) 48.9475 161.358i 0.0965435 0.318261i
\(508\) −108.886 + 596.293i −0.214343 + 1.17381i
\(509\) −118.634 144.556i −0.233073 0.284000i 0.643320 0.765598i \(-0.277557\pi\)
−0.876392 + 0.481598i \(0.840057\pi\)
\(510\) −62.2390 + 687.314i −0.122037 + 1.34768i
\(511\) 182.875i 0.357876i
\(512\) −351.995 371.811i −0.687491 0.726193i
\(513\) −351.799 −0.685768
\(514\) −41.7445 3.78013i −0.0812150 0.00735433i
\(515\) 1278.42 1049.17i 2.48236 2.03722i
\(516\) −269.858 49.2776i −0.522982 0.0954991i
\(517\) 18.0141 + 5.46452i 0.0348436 + 0.0105697i
\(518\) 465.811 316.574i 0.899249 0.611146i
\(519\) 50.0457 + 251.597i 0.0964271 + 0.484772i
\(520\) 118.600 426.998i 0.228076 0.821151i
\(521\) 48.2465 242.551i 0.0926036 0.465550i −0.906460 0.422291i \(-0.861226\pi\)
0.999064 0.0432587i \(-0.0137740\pi\)
\(522\) −349.200 141.435i −0.668965 0.270948i
\(523\) 82.0901 + 833.475i 0.156960 + 1.59364i 0.674692 + 0.738100i \(0.264277\pi\)
−0.517732 + 0.855543i \(0.673223\pi\)
\(524\) 741.659 411.557i 1.41538 0.785414i
\(525\) 113.401 + 373.834i 0.216002 + 0.712064i
\(526\) 6.18869 + 58.1419i 0.0117656 + 0.110536i
\(527\) 1612.01 667.715i 3.05883 1.26701i
\(528\) 3.55216 + 7.86605i 0.00672757 + 0.0148978i
\(529\) 3.83769 9.26500i 0.00725461 0.0175142i
\(530\) −136.489 + 463.026i −0.257526 + 0.873633i
\(531\) −206.073 + 385.535i −0.388085 + 0.726055i
\(532\) −379.052 195.003i −0.712504 0.366546i
\(533\) −150.577 123.576i −0.282509 0.231849i
\(534\) −0.538758 68.4805i −0.00100891 0.128241i
\(535\) 817.220 546.049i 1.52751 1.02065i
\(536\) 130.468 + 295.080i 0.243410 + 0.550523i
\(537\) −9.75891 6.52070i −0.0181730 0.0121428i
\(538\) −61.8271 298.532i −0.114920 0.554892i
\(539\) 0.884841 + 1.65542i 0.00164163 + 0.00307128i
\(540\) −11.4133 725.319i −0.0211358 1.34318i
\(541\) 48.0541 487.901i 0.0888245 0.901850i −0.842751 0.538303i \(-0.819066\pi\)
0.931576 0.363547i \(-0.118434\pi\)
\(542\) −49.8731 + 15.5583i −0.0920168 + 0.0287054i
\(543\) 91.3393 + 91.3393i 0.168212 + 0.168212i
\(544\) 735.026 653.247i 1.35115 1.20082i
\(545\) −149.028 149.028i −0.273447 0.273447i
\(546\) −56.3894 + 107.523i −0.103277 + 0.196929i
\(547\) −73.1273 + 742.474i −0.133688 + 1.35736i 0.661022 + 0.750367i \(0.270123\pi\)
−0.794710 + 0.606990i \(0.792377\pi\)
\(548\) −325.458 + 822.076i −0.593901 + 1.50014i
\(549\) −235.861 441.264i −0.429619 0.803760i
\(550\) 18.8038 28.6268i 0.0341886 0.0520487i
\(551\) 350.849 + 234.430i 0.636749 + 0.425462i
\(552\) 135.338 213.277i 0.245178 0.386372i
\(553\) −249.765 + 166.888i −0.451655 + 0.301786i
\(554\) −535.666 527.304i −0.966907 0.951812i
\(555\) −367.379 301.500i −0.661944 0.543243i
\(556\) −16.8072 + 203.409i −0.0302288 + 0.365844i
\(557\) −140.004 + 261.929i −0.251354 + 0.470250i −0.975678 0.219210i \(-0.929652\pi\)
0.724324 + 0.689460i \(0.242152\pi\)
\(558\) −713.086 + 388.396i −1.27793 + 0.696049i
\(559\) −129.472 + 312.573i −0.231613 + 0.559164i
\(560\) 389.748 787.834i 0.695978 1.40685i
\(561\) −15.3149 + 6.34364i −0.0272993 + 0.0113077i
\(562\) −290.939 234.961i −0.517685 0.418081i
\(563\) −230.821 760.916i −0.409985 1.35154i −0.882540 0.470238i \(-0.844168\pi\)
0.472555 0.881301i \(-0.343332\pi\)
\(564\) −29.3443 256.497i −0.0520290 0.454781i
\(565\) −142.336 1445.16i −0.251922 2.55781i
\(566\) 399.211 + 942.733i 0.705319 + 1.66561i
\(567\) 44.7610 225.029i 0.0789435 0.396876i
\(568\) 42.1275 + 3.14742i 0.0741682 + 0.00554124i
\(569\) −163.913 824.048i −0.288073 1.44824i −0.805543 0.592538i \(-0.798126\pi\)
0.517470 0.855701i \(-0.326874\pi\)
\(570\) −67.3976 + 353.336i −0.118241 + 0.619887i
\(571\) 857.303 + 260.060i 1.50141 + 0.455446i 0.930723 0.365724i \(-0.119179\pi\)
0.570682 + 0.821171i \(0.306679\pi\)
\(572\) 10.4062 2.24068i 0.0181927 0.00391728i
\(573\) 276.770 227.139i 0.483019 0.396403i
\(574\) −247.441 296.717i −0.431083 0.516929i
\(575\) −1002.37 −1.74326
\(576\) −307.965 + 338.503i −0.534662 + 0.587679i
\(577\) 631.698i 1.09480i −0.836872 0.547398i \(-0.815618\pi\)
0.836872 0.547398i \(-0.184382\pi\)
\(578\) 839.421 + 1006.58i 1.45228 + 1.74149i
\(579\) 190.956 + 232.680i 0.329803 + 0.401866i
\(580\) −471.951 + 730.966i −0.813709 + 1.26029i
\(581\) 103.927 342.600i 0.178875 0.589673i
\(582\) −40.9032 + 214.438i −0.0702805 + 0.368450i
\(583\) −11.3721 + 2.26206i −0.0195063 + 0.00388003i
\(584\) 196.315 + 99.0487i 0.336156 + 0.169604i
\(585\) −388.494 77.2762i −0.664092 0.132096i
\(586\) −180.556 426.381i −0.308115 0.727613i
\(587\) 897.421 88.3882i 1.52883 0.150576i 0.701651 0.712521i \(-0.252447\pi\)
0.827175 + 0.561945i \(0.189947\pi\)
\(588\) 16.0160 20.1539i 0.0272380 0.0342754i
\(589\) 870.273 263.994i 1.47754 0.448208i
\(590\) 785.424 + 634.306i 1.33123 + 1.07510i
\(591\) 5.95911 + 14.3866i 0.0100831 + 0.0243428i
\(592\) 87.5479 + 671.510i 0.147885 + 1.13431i
\(593\) 163.016 + 67.5232i 0.274900 + 0.113867i 0.515874 0.856664i \(-0.327467\pi\)
−0.240975 + 0.970531i \(0.577467\pi\)
\(594\) 15.3017 8.33434i 0.0257604 0.0140309i
\(595\) 1488.83 + 795.797i 2.50224 + 1.33747i
\(596\) −4.18409 4.93782i −0.00702029 0.00828493i
\(597\) −31.4886 + 38.3690i −0.0527448 + 0.0642697i
\(598\) −222.011 218.545i −0.371256 0.365460i
\(599\) −165.672 247.945i −0.276581 0.413932i 0.667009 0.745050i \(-0.267574\pi\)
−0.943590 + 0.331118i \(0.892574\pi\)
\(600\) −462.730 80.7404i −0.771216 0.134567i
\(601\) −354.404 + 530.403i −0.589690 + 0.882534i −0.999562 0.0296095i \(-0.990574\pi\)
0.409871 + 0.912143i \(0.365574\pi\)
\(602\) −368.406 + 560.861i −0.611971 + 0.931663i
\(603\) 254.325 135.940i 0.421767 0.225439i
\(604\) −55.8251 + 24.1594i −0.0924257 + 0.0399991i
\(605\) −992.964 97.7985i −1.64126 0.161650i
\(606\) −45.3777 + 86.5262i −0.0748806 + 0.142782i
\(607\) 92.8053 92.8053i 0.152892 0.152892i −0.626516 0.779408i \(-0.715520\pi\)
0.779408 + 0.626516i \(0.215520\pi\)
\(608\) 414.637 301.293i 0.681969 0.495548i
\(609\) 168.557 168.557i 0.276777 0.276777i
\(610\) −1103.08 + 344.114i −1.80832 + 0.564122i
\(611\) −316.874 31.2093i −0.518615 0.0510791i
\(612\) −631.205 611.648i −1.03138 0.999425i
\(613\) −413.044 + 220.777i −0.673808 + 0.360158i −0.772549 0.634955i \(-0.781018\pi\)
0.0987409 + 0.995113i \(0.468518\pi\)
\(614\) 39.5515 + 190.974i 0.0644161 + 0.311033i
\(615\) −181.128 + 271.077i −0.294517 + 0.440776i
\(616\) 21.1068 0.498245i 0.0342643 0.000808839i
\(617\) 418.924 + 626.964i 0.678969 + 1.01615i 0.997665 + 0.0682921i \(0.0217550\pi\)
−0.318696 + 0.947857i \(0.603245\pi\)
\(618\) −4.28596 544.780i −0.00693521 0.881521i
\(619\) 313.594 382.116i 0.506615 0.617312i −0.455408 0.890283i \(-0.650506\pi\)
0.962022 + 0.272971i \(0.0880064\pi\)
\(620\) 572.522 + 1785.71i 0.923423 + 2.88018i
\(621\) −449.727 240.384i −0.724197 0.387092i
\(622\) 110.545 375.012i 0.177724 0.602913i
\(623\) −154.768 64.1072i −0.248424 0.102901i
\(624\) −84.8844 118.771i −0.136033 0.190338i
\(625\) 61.0951 + 147.497i 0.0977522 + 0.235995i
\(626\) 49.0298 + 460.628i 0.0783224 + 0.735827i
\(627\) −8.26805 + 2.50808i −0.0131867 + 0.00400013i
\(628\) 265.975 929.188i 0.423527 1.47960i
\(629\) −1294.37 + 127.484i −2.05782 + 0.202678i
\(630\) −728.173 294.929i −1.15583 0.468142i
\(631\) −270.313 53.7686i −0.428388 0.0852117i −0.0238130 0.999716i \(-0.507581\pi\)
−0.404575 + 0.914505i \(0.632581\pi\)
\(632\) −43.8753 358.512i −0.0694230 0.567266i
\(633\) −134.846 + 26.8225i −0.213026 + 0.0423736i
\(634\) −443.598 + 301.477i −0.699681 + 0.475516i
\(635\) 363.209 1197.34i 0.571982 1.88557i
\(636\) 90.4149 + 130.812i 0.142162 + 0.205679i
\(637\) −20.1415 24.5425i −0.0316193 0.0385282i
\(638\) −20.8142 1.88480i −0.0326241 0.00295424i
\(639\) 37.7591i 0.0590909i
\(640\) 634.641 + 845.100i 0.991627 + 1.32047i
\(641\) 640.723 0.999568 0.499784 0.866150i \(-0.333413\pi\)
0.499784 + 0.866150i \(0.333413\pi\)
\(642\) 29.1994 322.453i 0.0454819 0.502263i
\(643\) 105.576 86.6442i 0.164193 0.134750i −0.548709 0.836014i \(-0.684880\pi\)
0.712902 + 0.701264i \(0.247380\pi\)
\(644\) −351.321 508.290i −0.545529 0.789270i
\(645\) 541.868 + 164.374i 0.840105 + 0.254843i
\(646\) 553.328 + 814.175i 0.856545 + 1.26033i
\(647\) 164.339 + 826.186i 0.254001 + 1.27695i 0.871507 + 0.490383i \(0.163143\pi\)
−0.617506 + 0.786566i \(0.711857\pi\)
\(648\) 217.324 + 169.931i 0.335377 + 0.262239i
\(649\) −4.73089 + 23.7838i −0.00728951 + 0.0366469i
\(650\) −217.478 + 536.948i −0.334581 + 0.826073i
\(651\) −50.3572 511.285i −0.0773536 0.785384i
\(652\) 64.9805 227.010i 0.0996634 0.348176i
\(653\) 181.606 + 598.676i 0.278111 + 0.916809i 0.979056 + 0.203593i \(0.0652620\pi\)
−0.700945 + 0.713216i \(0.747238\pi\)
\(654\) −69.0375 + 7.34843i −0.105562 + 0.0112361i
\(655\) −1617.56 + 670.016i −2.46956 + 1.02293i
\(656\) 452.544 104.919i 0.689854 0.159938i
\(657\) 75.2118 181.577i 0.114478 0.276373i
\(658\) −605.757 178.563i −0.920604 0.271372i
\(659\) −389.312 + 728.352i −0.590762 + 1.10524i 0.391931 + 0.919995i \(0.371807\pi\)
−0.982693 + 0.185243i \(0.940693\pi\)
\(660\) −5.43926 16.9652i −0.00824131 0.0257049i
\(661\) 153.927 + 126.324i 0.232869 + 0.191111i 0.743590 0.668636i \(-0.233121\pi\)
−0.510721 + 0.859747i \(0.670621\pi\)
\(662\) 428.514 3.37126i 0.647302 0.00509254i
\(663\) 233.131 155.773i 0.351630 0.234952i
\(664\) 311.491 + 297.124i 0.469113 + 0.447476i
\(665\) 731.613 + 488.848i 1.10017 + 0.735110i
\(666\) 592.706 122.752i 0.889949 0.184312i
\(667\) 288.327 + 539.421i 0.432274 + 0.808727i
\(668\) −172.502 167.158i −0.258237 0.250236i
\(669\) 55.5679 564.190i 0.0830611 0.843334i
\(670\) −198.332 635.765i −0.296018 0.948903i
\(671\) −19.6258 19.6258i −0.0292486 0.0292486i
\(672\) −121.239 262.943i −0.180416 0.391284i
\(673\) 127.555 + 127.555i 0.189532 + 0.189532i 0.795494 0.605962i \(-0.207212\pi\)
−0.605962 + 0.795494i \(0.707212\pi\)
\(674\) 238.797 + 125.235i 0.354299 + 0.185808i
\(675\) −92.9476 + 943.713i −0.137700 + 1.39809i
\(676\) 455.157 196.978i 0.673309 0.291388i
\(677\) −324.431 606.967i −0.479218 0.896554i −0.999104 0.0423186i \(-0.986526\pi\)
0.519886 0.854236i \(-0.325974\pi\)
\(678\) −399.825 262.628i −0.589712 0.387357i
\(679\) 444.012 + 296.679i 0.653920 + 0.436936i
\(680\) −1660.67 + 1167.23i −2.44216 + 1.71652i
\(681\) −404.046 + 269.975i −0.593312 + 0.396438i
\(682\) −31.5988 + 32.0999i −0.0463325 + 0.0470673i
\(683\) −919.339 754.482i −1.34603 1.10466i −0.985084 0.172072i \(-0.944954\pi\)
−0.360946 0.932587i \(-0.617546\pi\)
\(684\) −296.163 349.514i −0.432987 0.510985i
\(685\) 860.330 1609.56i 1.25596 2.34973i
\(686\) −342.001 627.907i −0.498544 0.915316i
\(687\) −105.240 + 254.072i −0.153188 + 0.369828i
\(688\) −402.546 699.257i −0.585096 1.01636i
\(689\) 181.192 75.0520i 0.262978 0.108929i
\(690\) −327.593 + 405.639i −0.474772 + 0.587882i
\(691\) −39.9721 131.770i −0.0578467 0.190695i 0.923255 0.384188i \(-0.125518\pi\)
−0.981102 + 0.193493i \(0.938018\pi\)
\(692\) −469.419 + 590.702i −0.678351 + 0.853615i
\(693\) −1.84966 18.7799i −0.00266906 0.0270994i
\(694\) −44.6007 + 18.8867i −0.0642662 + 0.0272142i
\(695\) 82.1927 413.210i 0.118263 0.594547i
\(696\) 89.6516 + 272.240i 0.128810 + 0.391150i
\(697\) 174.064 + 875.077i 0.249733 + 1.25549i
\(698\) 1060.50 + 202.288i 1.51935 + 0.289810i
\(699\) 398.231 + 120.802i 0.569716 + 0.172821i
\(700\) −623.250 + 965.299i −0.890356 + 1.37900i
\(701\) −101.653 + 83.4246i −0.145012 + 0.119008i −0.704102 0.710099i \(-0.748650\pi\)
0.559091 + 0.829107i \(0.311150\pi\)
\(702\) −226.342 + 188.754i −0.322425 + 0.268880i
\(703\) −677.913 −0.964314
\(704\) −10.8970 + 22.9279i −0.0154787 + 0.0325681i
\(705\) 532.911i 0.755903i
\(706\) 132.499 110.495i 0.187675 0.156508i
\(707\) 151.619 + 184.748i 0.214454 + 0.261313i
\(708\) 325.120 70.0054i 0.459209 0.0988777i
\(709\) −116.121 + 382.801i −0.163782 + 0.539917i −0.999964 0.00853593i \(-0.997283\pi\)
0.836182 + 0.548453i \(0.184783\pi\)
\(710\) −85.6572 16.3388i −0.120644 0.0230124i
\(711\) −316.630 + 62.9817i −0.445331 + 0.0885818i
\(712\) 152.645 131.422i 0.214389 0.184581i
\(713\) 1292.91 + 257.176i 1.81334 + 0.360696i
\(714\) 512.091 216.850i 0.717214 0.303712i
\(715\) −21.8669 + 2.15370i −0.0305831 + 0.00301217i
\(716\) −3.92380 34.2977i −0.00548017 0.0479018i
\(717\) 1.94767 0.590820i 0.00271642 0.000824016i
\(718\) 33.1556 41.0547i 0.0461778 0.0571792i
\(719\) −300.459 725.372i −0.417884 1.00886i −0.982959 0.183823i \(-0.941153\pi\)
0.565075 0.825039i \(-0.308847\pi\)
\(720\) 711.000 621.952i 0.987499 0.863822i
\(721\) −1231.22 509.989i −1.70766 0.707336i
\(722\) −99.9263 183.462i −0.138402 0.254103i
\(723\) −15.9809 8.54198i −0.0221036 0.0118146i
\(724\) −31.2863 + 378.641i −0.0432131 + 0.522985i
\(725\) 721.563 879.227i 0.995259 1.21273i
\(726\) −230.578 + 234.235i −0.317601 + 0.322638i
\(727\) 144.447 + 216.180i 0.198689 + 0.297360i 0.917413 0.397936i \(-0.130273\pi\)
−0.718724 + 0.695296i \(0.755273\pi\)
\(728\) −348.503 + 77.9141i −0.478713 + 0.107025i
\(729\) −12.3634 + 18.5031i −0.0169593 + 0.0253815i
\(730\) −379.367 249.190i −0.519681 0.341356i
\(731\) 1366.67 730.501i 1.86959 0.999317i
\(732\) −140.115 + 353.918i −0.191414 + 0.483494i
\(733\) 125.760 + 12.3863i 0.171569 + 0.0168981i 0.183437 0.983031i \(-0.441278\pi\)
−0.0118677 + 0.999930i \(0.503778\pi\)
\(734\) 711.704 + 373.245i 0.969623 + 0.508508i
\(735\) −37.5743 + 37.5743i −0.0511215 + 0.0511215i
\(736\) 735.930 101.841i 0.999905 0.138371i
\(737\) 11.3114 11.3114i 0.0153479 0.0153479i
\(738\) −123.654 396.379i −0.167552 0.537099i
\(739\) 287.398 + 28.3062i 0.388901 + 0.0383034i 0.290578 0.956851i \(-0.406152\pi\)
0.0983226 + 0.995155i \(0.468652\pi\)
\(740\) −21.9934 1397.68i −0.0297208 1.88876i
\(741\) 128.885 68.8904i 0.173934 0.0929695i
\(742\) 380.902 78.8862i 0.513344 0.106316i
\(743\) −123.639 + 185.039i −0.166405 + 0.249043i −0.905295 0.424783i \(-0.860350\pi\)
0.738890 + 0.673826i \(0.235350\pi\)
\(744\) 576.137 + 222.865i 0.774378 + 0.299549i
\(745\) 7.42227 + 11.1082i 0.00996278 + 0.0149104i
\(746\) −674.103 + 5.30339i −0.903623 + 0.00710910i
\(747\) 244.092 297.427i 0.326763 0.398162i
\(748\) −43.3556 22.3042i −0.0579621 0.0298185i
\(749\) −698.484 373.347i −0.932555 0.498461i
\(750\) 391.494 + 115.403i 0.521993 + 0.153871i
\(751\) −1045.30 432.976i −1.39187 0.576533i −0.444244 0.895906i \(-0.646528\pi\)
−0.947629 + 0.319373i \(0.896528\pi\)
\(752\) 519.777 553.565i 0.691193 0.736124i
\(753\) −97.4196 235.192i −0.129375 0.312339i